cafeobj-1.5.4/0000755000000000000000000000000012611612205011604 5ustar rootrootcafeobj-1.5.4/asdf.lisp0000644000000000000000000057377412144566661013460 0ustar rootroot;;; -*- mode: common-lisp; package: asdf; -*- ; #+(version= 8 2) ; (sys:defpatch "asdf" 4 ; "v1: update to version 2.010.5; ; v2: update to version 2.017; ; v3: update to version 2.017.21; ; v4: update to version 2.20.18." ; :type :system ; :post-loadable t) ; #+(version= 9 0 :beta) ; (sys:defpatch "asdf" 1 ; "v1: update to version 2.20.18." ; :type :system ; :post-loadable t) ;;; -*- mode: Common-Lisp; Base: 10 ; Syntax: ANSI-Common-Lisp ; coding: utf-8 -*- ;;; This is ASDF 2.20.18: Another System Definition Facility. ;;; ;;; Feedback, bug reports, and patches are all welcome: ;;; please mail to . ;;; Note first that the canonical source for ASDF is presently ;;; . ;;; ;;; If you obtained this copy from anywhere else, and you experience ;;; trouble using it, or find bugs, you may want to check at the ;;; location above for a more recent version (and for documentation ;;; and test files, if your copy came without them) before reporting ;;; bugs. There are usually two "supported" revisions - the git master ;;; branch is the latest development version, whereas the git release ;;; branch may be slightly older but is considered `stable' ;;; -- LICENSE START ;;; (This is the MIT / X Consortium license as taken from ;;; http://www.opensource.org/licenses/mit-license.html on or about ;;; Monday; July 13, 2009) ;;; ;;; Copyright (c) 2001-2012 Daniel Barlow and contributors ;;; ;;; Permission is hereby granted, free of charge, to any person obtaining ;;; a copy of this software and associated documentation files (the ;;; "Software"), to deal in the Software without restriction, including ;;; without limitation the rights to use, copy, modify, merge, publish, ;;; distribute, sublicense, and/or sell copies of the Software, and to ;;; permit persons to whom the Software is furnished to do so, subject to ;;; the following conditions: ;;; ;;; The above copyright notice and this permission notice shall be ;;; included in all copies or substantial portions of the Software. ;;; ;;; THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, ;;; EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF ;;; MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND ;;; NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE ;;; LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION ;;; OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION ;;; WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. ;;; ;;; -- LICENSE END ;;; The problem with writing a defsystem replacement is bootstrapping: ;;; we can't use defsystem to compile it. Hence, all in one file. #+xcvb (module ()) (cl:in-package :common-lisp-user) #+genera (in-package :future-common-lisp-user) #-(or abcl allegro clisp clozure cmu cormanlisp ecl gcl genera lispworks mcl sbcl scl xcl) (error "ASDF is not supported on your implementation. Please help us port it.") ;;;; Create and setup packages in a way that is compatible with hot-upgrade. ;;;; See https://bugs.launchpad.net/asdf/+bug/485687 ;;;; See these two eval-when forms, and more near the end of the file. #+gcl (defpackage :asdf (:use :cl)) ;; GCL treats defpackage magically and needs this (eval-when (:load-toplevel :compile-toplevel :execute) ;;; Before we do anything, some implementation-dependent tweaks ;; (declaim (optimize (speed 1) (debug 3) (safety 3))) ; NO: trust implementation defaults. #+allegro (setf excl::*autoload-package-name-alist* (remove "asdf" excl::*autoload-package-name-alist* :test 'equalp :key 'car)) ; need that BEFORE any mention of package ASDF as below #+gcl ;; Debian's GCL 2.7 has bugs with compiling multiple-value stuff, but can run ASDF 2.011 (when (or (< system::*gcl-major-version* 2) ;; GCL 2.6 fails to fully compile ASDF at all (and (= system::*gcl-major-version* 2) (< system::*gcl-minor-version* 7))) (pushnew :gcl-pre2.7 *features*)) #+(or abcl (and allegro ics) (and clisp unicode) clozure (and cmu unicode) (and ecl unicode) lispworks (and sbcl sb-unicode) scl) (pushnew :asdf-unicode *features*) ;;; make package if it doesn't exist yet. ;;; DEFPACKAGE may cause errors on discrepancies, so we avoid it. (unless (find-package :asdf) (make-package :asdf :use '(:common-lisp)))) (in-package :asdf) (eval-when (:load-toplevel :compile-toplevel :execute) ;;; This would belong amongst implementation-dependent tweaks above, ;;; except that the defun has to be in package asdf. #+ecl (defun use-ecl-byte-compiler-p () (and (member :ecl-bytecmp *features*) t)) #+ecl (unless (use-ecl-byte-compiler-p) (require :cmp)) ;;; Package setup, step 2. (defvar *asdf-version* nil) (defvar *upgraded-p* nil) (defvar *asdf-verbose* nil) ; was t from 2.000 to 2.014.12. (defun find-symbol* (s p) (find-symbol (string s) p)) ;; Strip out formatting that is not supported on Genera. ;; Has to be inside the eval-when to make Lispworks happy (!) (defun strcat (&rest strings) (apply 'concatenate 'string strings)) (defmacro compatfmt (format) #-(or gcl genera) format #+(or gcl genera) (loop :for (unsupported . replacement) :in (append '(("~3i~_" . "")) #+genera '(("~@<" . "") ("; ~@;" . "; ") ("~@:>" . "") ("~:>" . ""))) :do (loop :for found = (search unsupported format) :while found :do (setf format (strcat (subseq format 0 found) replacement (subseq format (+ found (length unsupported))))))) format) (let* (;; For bug reporting sanity, please always bump this version when you modify this file. ;; Please also modify asdf.asd to reflect this change. The script bin/bump-version ;; can help you do these changes in synch (look at the source for documentation). ;; Relying on its automation, the version is now redundantly present on top of this file. ;; "2.345" would be an official release ;; "2.345.6" would be a development version in the official upstream ;; "2.345.0.7" would be your seventh local modification of official release 2.345 ;; "2.345.6.7" would be your seventh local modification of development version 2.345.6 (asdf-version "2.20.18") (existing-asdf (find-class 'component nil)) (existing-version *asdf-version*) (already-there (equal asdf-version existing-version))) (unless (and existing-asdf already-there) (when (and existing-asdf *asdf-verbose*) (format *trace-output* (compatfmt "~&~@<; ~@;Upgrading ASDF ~@[from version ~A ~]to version ~A~@:>~%") existing-version asdf-version)) (labels ((present-symbol-p (symbol package) (member (nth-value 1 (find-symbol* symbol package)) '(:internal :external))) (present-symbols (package) ;; #-genera (loop :for s :being :the :present-symbols :in package :collect s) #+genera (let (l) (do-symbols (s package) (when (present-symbol-p s package) (push s l))) (reverse l))) (unlink-package (package) (let ((u (find-package package))) (when u (ensure-unintern u (present-symbols u)) (loop :for p :in (package-used-by-list u) :do (unuse-package u p)) (delete-package u)))) (ensure-exists (name nicknames use) (let ((previous (remove-duplicates (mapcar #'find-package (cons name nicknames)) :from-end t))) ;; do away with packages with conflicting (nick)names (map () #'unlink-package (cdr previous)) ;; reuse previous package with same name (let ((p (car previous))) (cond (p (rename-package p name nicknames) (ensure-use p use) p) (t (make-package name :nicknames nicknames :use use)))))) (intern* (symbol package) (intern (string symbol) package)) (remove-symbol (symbol package) (let ((sym (find-symbol* symbol package))) (when sym #-cormanlisp (unexport sym package) (unintern sym package) sym))) (ensure-unintern (package symbols) (loop :with packages = (list-all-packages) :for sym :in symbols :for removed = (remove-symbol sym package) :when removed :do (loop :for p :in packages :do (when (eq removed (find-symbol* sym p)) (unintern removed p))))) (ensure-shadow (package symbols) (shadow symbols package)) (ensure-use (package use) (dolist (used (package-use-list package)) (unless (member (package-name used) use :test 'string=) (unuse-package used) (do-external-symbols (sym used) (when (eq sym (find-symbol* sym package)) (remove-symbol sym package))))) (dolist (used (reverse use)) (do-external-symbols (sym used) (unless (eq sym (find-symbol* sym package)) (remove-symbol sym package))) (use-package used package))) (ensure-fmakunbound (package symbols) (loop :for name :in symbols :for sym = (find-symbol* name package) :when sym :do (fmakunbound sym))) (ensure-export (package export) (let ((formerly-exported-symbols nil) (bothly-exported-symbols nil) (newly-exported-symbols nil)) (do-external-symbols (sym package) (if (member sym export :test 'string-equal) (push sym bothly-exported-symbols) (push sym formerly-exported-symbols))) (loop :for sym :in export :do (unless (member sym bothly-exported-symbols :test 'equal) (push sym newly-exported-symbols))) (loop :for user :in (package-used-by-list package) :for shadowing = (package-shadowing-symbols user) :do (loop :for new :in newly-exported-symbols :for old = (find-symbol* new user) :when (and old (not (member old shadowing))) :do (unintern old user))) (loop :for x :in newly-exported-symbols :do (export (intern* x package))))) (ensure-package (name &key nicknames use unintern shadow export redefined-functions) (let* ((p (ensure-exists name nicknames use))) (ensure-unintern p unintern) (ensure-shadow p shadow) (ensure-export p export) (ensure-fmakunbound p redefined-functions) p))) (macrolet ((pkgdcl (name &key nicknames use export redefined-functions unintern shadow) `(ensure-package ',name :nicknames ',nicknames :use ',use :export ',export :shadow ',shadow :unintern ',unintern :redefined-functions ',redefined-functions))) (pkgdcl :asdf :nicknames (:asdf-utilities) ;; DEPRECATED! Do not use, for backward compatibility only. :use (:common-lisp) :redefined-functions (#:perform #:explain #:output-files #:operation-done-p #:perform-with-restarts #:component-relative-pathname #:system-source-file #:operate #:find-component #:find-system #:apply-output-translations #:translate-pathname* #:resolve-location #:system-relative-pathname #:inherit-source-registry #:process-source-registry #:process-source-registry-directive #:compile-file* #:source-file-type) :unintern (#:*asdf-revision* #:around #:asdf-method-combination #:split #:make-collector #:do-dep #:do-one-dep #:resolve-relative-location-component #:resolve-absolute-location-component #:output-files-for-system-and-operation) ; obsolete ASDF-BINARY-LOCATION function :export (#:defsystem #:oos #:operate #:find-system #:locate-system #:run-shell-command #:system-definition-pathname #:with-system-definitions #:search-for-system-definition #:find-component #:component-find-path #:compile-system #:load-system #:load-systems #:test-system #:clear-system #:operation #:compile-op #:load-op #:load-source-op #:test-op #:feature #:version #:version-satisfies #:upgrade-asdf #:implementation-identifier #:implementation-type #:hostname #:input-files #:output-files #:output-file #:perform #:operation-done-p #:explain #:component #:source-file #:c-source-file #:cl-source-file #:java-source-file #:cl-source-file.cl #:cl-source-file.lsp #:static-file #:doc-file #:html-file #:text-file #:source-file-type #:module ; components #:system #:unix-dso #:module-components ; component accessors #:module-components-by-name #:component-pathname #:component-relative-pathname #:component-name #:component-version #:component-parent #:component-property #:component-system #:component-depends-on #:component-encoding #:component-external-format #:system-description #:system-long-description #:system-author #:system-maintainer #:system-license #:system-licence #:system-source-file #:system-source-directory #:system-relative-pathname #:map-systems #:operation-description #:operation-on-warnings #:operation-on-failure #:component-visited-p #:*system-definition-search-functions* ; variables #:*central-registry* #:*compile-file-warnings-behaviour* #:*compile-file-failure-behaviour* #:*resolve-symlinks* #:*require-asdf-operator* #:*asdf-verbose* #:*verbose-out* #:asdf-version #:operation-error #:compile-failed #:compile-warned #:compile-error #:error-name #:error-pathname #:load-system-definition-error #:error-component #:error-operation #:system-definition-error #:missing-component #:missing-component-of-version #:missing-dependency #:missing-dependency-of-version #:circular-dependency ; errors #:duplicate-names #:try-recompiling #:retry #:accept ; restarts #:coerce-entry-to-directory #:remove-entry-from-registry #:*encoding-detection-hook* #:*encoding-external-format-hook* #:*default-encoding* #:*utf-8-external-format* #:clear-configuration #:*output-translations-parameter* #:initialize-output-translations #:disable-output-translations #:clear-output-translations #:ensure-output-translations #:apply-output-translations #:compile-file* #:compile-file-pathname* #:enable-asdf-binary-locations-compatibility #:*default-source-registries* #:*source-registry-parameter* #:initialize-source-registry #:compute-source-registry #:clear-source-registry #:ensure-source-registry #:process-source-registry #:system-registered-p #:resolve-location #:asdf-message #:user-output-translations-pathname #:system-output-translations-pathname #:user-output-translations-directory-pathname #:system-output-translations-directory-pathname #:user-source-registry #:system-source-registry #:user-source-registry-directory #:system-source-registry-directory ;; Utilities ;; #:aif #:it #:appendf #:orf #:length=n-p #:remove-keys #:remove-keyword #:first-char #:last-char #:ends-with #:coerce-name #:directory-pathname-p #:ensure-directory-pathname #:absolute-pathname-p #:ensure-pathname-absolute #:pathname-root #:getenv #:probe-file* #:find-symbol* #:strcat #:make-pathname-component-logical #:make-pathname-logical #:merge-pathnames* #:coerce-pathname #:subpathname #:subpathname* #:pathname-directory-pathname #:pathname-parent-directory-pathname #:read-file-forms #:resolve-symlinks #:truenamize #:split-string #:component-name-to-pathname-components #:split-name-type #:subdirectories #:directory-files #:while-collecting #:*wild* #:*wild-file* #:*wild-directory* #:*wild-inferiors* #:*wild-path* #:wilden #:directorize-pathname-host-device ))) #+genera (import 'scl:boolean :asdf) (setf *asdf-version* asdf-version *upgraded-p* (if existing-version (cons existing-version *upgraded-p*) *upgraded-p*)))))) ;;;; ------------------------------------------------------------------------- ;;;; User-visible parameters ;;;; (defvar *resolve-symlinks* t "Determine whether or not ASDF resolves symlinks when defining systems. Defaults to T.") (defvar *compile-file-warnings-behaviour* (or #+clisp :ignore :warn) "How should ASDF react if it encounters a warning when compiling a file? Valid values are :error, :warn, and :ignore.") (defvar *compile-file-failure-behaviour* (or #+sbcl :error #+clisp :ignore :warn) "How should ASDF react if it encounters a failure (per the ANSI spec of COMPILE-FILE) when compiling a file? Valid values are :error, :warn, and :ignore. Note that ASDF ALWAYS raises an error if it fails to create an output file when compiling.") (defvar *verbose-out* nil) (defparameter +asdf-methods+ '(perform-with-restarts perform explain output-files operation-done-p)) #+allegro (eval-when (:compile-toplevel :execute) (defparameter *acl-warn-save* (when (boundp 'excl:*warn-on-nested-reader-conditionals*) excl:*warn-on-nested-reader-conditionals*)) (when (boundp 'excl:*warn-on-nested-reader-conditionals*) (setf excl:*warn-on-nested-reader-conditionals* nil))) ;;;; ------------------------------------------------------------------------- ;;;; Resolve forward references (declaim (ftype (function (t) t) format-arguments format-control error-name error-pathname error-condition duplicate-names-name error-component error-operation module-components module-components-by-name circular-dependency-components condition-arguments condition-form condition-format condition-location coerce-name) (ftype (function (&optional t) (values)) initialize-source-registry) #-(or cormanlisp gcl-pre2.7) (ftype (function (t t) t) (setf module-components-by-name))) ;;;; ------------------------------------------------------------------------- ;;;; Compatibility various implementations #+cormanlisp (progn (deftype logical-pathname () nil) (defun make-broadcast-stream () *error-output*) (defun file-namestring (p) (setf p (pathname p)) (format nil "~@[~A~]~@[.~A~]" (pathname-name p) (pathname-type p)))) #.(or #+mcl ;; the #$ doesn't work on other lisps, even protected by #+mcl (read-from-string "(eval-when (:compile-toplevel :load-toplevel :execute) (ccl:define-entry-point (_getenv \"getenv\") ((name :string)) :string) (ccl:define-entry-point (_system \"system\") ((name :string)) :int) ;; Note: ASDF may expect user-homedir-pathname to provide ;; the pathname of the current user's home directory, whereas ;; MCL by default provides the directory from which MCL was started. ;; See http://code.google.com/p/mcl/wiki/Portability (defun current-user-homedir-pathname () (ccl::findfolder #$kuserdomain #$kCurrentUserFolderType)) (defun probe-posix (posix-namestring) \"If a file exists for the posix namestring, return the pathname\" (ccl::with-cstrs ((cpath posix-namestring)) (ccl::rlet ((is-dir :boolean) (fsref :fsref)) (when (eq #$noerr (#_fspathmakeref cpath fsref is-dir)) (ccl::%path-from-fsref fsref is-dir))))))")) ;;;; ------------------------------------------------------------------------- ;;;; General Purpose Utilities (macrolet ((defdef (def* def) `(defmacro ,def* (name formals &rest rest) `(progn #+(or ecl (and gcl (not gcl-pre2.7))) (fmakunbound ',name) #-gcl ; gcl 2.7.0 notinline functions lose secondary return values :-( ,(when (and #+ecl (symbolp name)) ; fails for setf functions on ecl `(declaim (notinline ,name))) (,',def ,name ,formals ,@rest))))) (defdef defgeneric* defgeneric) (defdef defun* defun)) (defmacro while-collecting ((&rest collectors) &body body) "COLLECTORS should be a list of names for collections. A collector defines a function that, when applied to an argument inside BODY, will add its argument to the corresponding collection. Returns multiple values, a list for each collection, in order. E.g., \(while-collecting \(foo bar\) \(dolist \(x '\(\(a 1\) \(b 2\) \(c 3\)\)\) \(foo \(first x\)\) \(bar \(second x\)\)\)\) Returns two values: \(A B C\) and \(1 2 3\)." (let ((vars (mapcar #'(lambda (x) (gensym (symbol-name x))) collectors)) (initial-values (mapcar (constantly nil) collectors))) `(let ,(mapcar #'list vars initial-values) (flet ,(mapcar #'(lambda (c v) `(,c (x) (push x ,v) (values))) collectors vars) ,@body (values ,@(mapcar #'(lambda (v) `(reverse ,v)) vars)))))) (defmacro aif (test then &optional else) "Anaphoric version of IF, On Lisp style" `(let ((it ,test)) (if it ,then ,else))) (defun* pathname-directory-pathname (pathname) "Returns a new pathname with same HOST, DEVICE, DIRECTORY as PATHNAME, and NIL NAME, TYPE and VERSION components" (when pathname (make-pathname :name nil :type nil :version nil :defaults pathname))) (defun* normalize-pathname-directory-component (directory) "Given a pathname directory component, return an equivalent form that is a list" (cond #-(or cmu sbcl scl) ;; these implementations already normalize directory components. ((stringp directory) `(:absolute ,directory) directory) #+gcl ((and (consp directory) (stringp (first directory))) `(:absolute ,@directory)) ((or (null directory) (and (consp directory) (member (first directory) '(:absolute :relative)))) directory) (t (error (compatfmt "~@") directory)))) (defun* merge-pathname-directory-components (specified defaults) ;; Helper for merge-pathnames* that handles directory components. (let ((directory (normalize-pathname-directory-component specified))) (ecase (first directory) ((nil) defaults) (:absolute specified) (:relative (let ((defdir (normalize-pathname-directory-component defaults)) (reldir (cdr directory))) (cond ((null defdir) directory) ((not (eq :back (first reldir))) (append defdir reldir)) (t (loop :with defabs = (first defdir) :with defrev = (reverse (rest defdir)) :while (and (eq :back (car reldir)) (or (and (eq :absolute defabs) (null defrev)) (stringp (car defrev)))) :do (pop reldir) (pop defrev) :finally (return (cons defabs (append (reverse defrev) reldir))))))))))) (defun* make-pathname-component-logical (x) "Make a pathname component suitable for use in a logical-pathname" (typecase x ((eql :unspecific) nil) #+clisp (string (string-upcase x)) #+clisp (cons (mapcar 'make-pathname-component-logical x)) (t x))) (defun* make-pathname-logical (pathname host) "Take a PATHNAME's directory, name, type and version components, and make a new pathname with corresponding components and specified logical HOST" (make-pathname :host host :directory (make-pathname-component-logical (pathname-directory pathname)) :name (make-pathname-component-logical (pathname-name pathname)) :type (make-pathname-component-logical (pathname-type pathname)) :version (make-pathname-component-logical (pathname-version pathname)))) (defun* merge-pathnames* (specified &optional (defaults *default-pathname-defaults*)) "MERGE-PATHNAMES* is like MERGE-PATHNAMES except that if the SPECIFIED pathname does not have an absolute directory, then the HOST and DEVICE both come from the DEFAULTS, whereas if the SPECIFIED pathname does have an absolute directory, then the HOST and DEVICE both come from the SPECIFIED. Also, if either argument is NIL, then the other argument is returned unmodified." (when (null specified) (return-from merge-pathnames* defaults)) (when (null defaults) (return-from merge-pathnames* specified)) #+scl (ext:resolve-pathname specified defaults) #-scl (let* ((specified (pathname specified)) (defaults (pathname defaults)) (directory (normalize-pathname-directory-component (pathname-directory specified))) (name (or (pathname-name specified) (pathname-name defaults))) (type (or (pathname-type specified) (pathname-type defaults))) (version (or (pathname-version specified) (pathname-version defaults)))) (labels ((unspecific-handler (p) (if (typep p 'logical-pathname) #'make-pathname-component-logical #'identity))) (multiple-value-bind (host device directory unspecific-handler) (ecase (first directory) ((:absolute) (values (pathname-host specified) (pathname-device specified) directory (unspecific-handler specified))) ((nil :relative) (values (pathname-host defaults) (pathname-device defaults) (merge-pathname-directory-components directory (pathname-directory defaults)) (unspecific-handler defaults)))) (make-pathname :host host :device device :directory directory :name (funcall unspecific-handler name) :type (funcall unspecific-handler type) :version (funcall unspecific-handler version)))))) (defun* pathname-parent-directory-pathname (pathname) "Returns a new pathname with same HOST, DEVICE, DIRECTORY as PATHNAME, and NIL NAME, TYPE and VERSION components" (when pathname (make-pathname :name nil :type nil :version nil :directory (merge-pathname-directory-components '(:relative :back) (pathname-directory pathname)) :defaults pathname))) (define-modify-macro appendf (&rest args) append "Append onto list") ;; only to be used on short lists. (define-modify-macro orf (&rest args) or "or a flag") (defun* first-char (s) (and (stringp s) (plusp (length s)) (char s 0))) (defun* last-char (s) (and (stringp s) (plusp (length s)) (char s (1- (length s))))) (defun* asdf-message (format-string &rest format-args) (declare (dynamic-extent format-args)) (apply 'format *verbose-out* format-string format-args)) (defun* split-string (string &key max (separator '(#\Space #\Tab))) "Split STRING into a list of components separated by any of the characters in the sequence SEPARATOR. If MAX is specified, then no more than max(1,MAX) components will be returned, starting the separation from the end, e.g. when called with arguments \"a.b.c.d.e\" :max 3 :separator \".\" it will return (\"a.b.c\" \"d\" \"e\")." (catch nil (let ((list nil) (words 0) (end (length string))) (flet ((separatorp (char) (find char separator)) (done () (throw nil (cons (subseq string 0 end) list)))) (loop :for start = (if (and max (>= words (1- max))) (done) (position-if #'separatorp string :end end :from-end t)) :do (when (null start) (done)) (push (subseq string (1+ start) end) list) (incf words) (setf end start)))))) (defun* split-name-type (filename) (let ((unspecific ;; Giving :unspecific as argument to make-pathname is not portable. ;; See CLHS make-pathname and 19.2.2.2.3. ;; We only use it on implementations that support it, #+(or abcl allegro clozure cmu gcl genera lispworks sbcl scl xcl) :unspecific #+(or clisp ecl #|These haven't been tested:|# cormanlisp mcl) nil)) (destructuring-bind (name &optional (type unspecific)) (split-string filename :max 2 :separator ".") (if (equal name "") (values filename unspecific) (values name type))))) (defun* component-name-to-pathname-components (s &key force-directory force-relative) "Splits the path string S, returning three values: A flag that is either :absolute or :relative, indicating how the rest of the values are to be interpreted. A directory path --- a list of strings, suitable for use with MAKE-PATHNAME when prepended with the flag value. A filename with type extension, possibly NIL in the case of a directory pathname. FORCE-DIRECTORY forces S to be interpreted as a directory pathname \(third return value will be NIL, final component of S will be treated as part of the directory path. The intention of this function is to support structured component names, e.g., \(:file \"foo/bar\"\), which will be unpacked to relative pathnames." (check-type s string) (when (find #\: s) (error (compatfmt "~@") s)) (let* ((components (split-string s :separator "/")) (last-comp (car (last components)))) (multiple-value-bind (relative components) (if (equal (first components) "") (if (equal (first-char s) #\/) (progn (when force-relative (error (compatfmt "~@") s)) (values :absolute (cdr components))) (values :relative nil)) (values :relative components)) (setf components (remove-if #'(lambda (x) (member x '("" ".") :test #'equal)) components)) (setf components (substitute :back ".." components :test #'equal)) (cond ((equal last-comp "") (values relative components nil)) ; "" already removed (force-directory (values relative components nil)) (t (values relative (butlast components) last-comp)))))) (defun* remove-keys (key-names args) (loop :for (name val) :on args :by #'cddr :unless (member (symbol-name name) key-names :key #'symbol-name :test 'equal) :append (list name val))) (defun* remove-keyword (key args) (loop :for (k v) :on args :by #'cddr :unless (eq k key) :append (list k v))) (defun* getenv (x) (declare (ignorable x)) #+(or abcl clisp ecl xcl) (ext:getenv x) #+allegro (sys:getenv x) #+clozure (ccl:getenv x) #+(or cmu scl) (cdr (assoc x ext:*environment-list* :test #'string=)) #+cormanlisp (let* ((buffer (ct:malloc 1)) (cname (ct:lisp-string-to-c-string x)) (needed-size (win:getenvironmentvariable cname buffer 0)) (buffer1 (ct:malloc (1+ needed-size)))) (prog1 (if (zerop (win:getenvironmentvariable cname buffer1 needed-size)) nil (ct:c-string-to-lisp-string buffer1)) (ct:free buffer) (ct:free buffer1))) #+gcl (system:getenv x) #+genera nil #+lispworks (lispworks:environment-variable x) #+mcl (ccl:with-cstrs ((name x)) (let ((value (_getenv name))) (unless (ccl:%null-ptr-p value) (ccl:%get-cstring value)))) #+sbcl (sb-ext:posix-getenv x) #-(or abcl allegro clisp clozure cmu cormanlisp ecl gcl genera lispworks mcl sbcl scl xcl) (error "~S is not supported on your implementation" 'getenv)) (defun* directory-pathname-p (pathname) "Does PATHNAME represent a directory? A directory-pathname is a pathname _without_ a filename. The three ways that the filename components can be missing are for it to be NIL, :UNSPECIFIC or the empty string. Note that this does _not_ check to see that PATHNAME points to an actually-existing directory." (when pathname (let ((pathname (pathname pathname))) (flet ((check-one (x) (member x '(nil :unspecific "") :test 'equal))) (and (not (wild-pathname-p pathname)) (check-one (pathname-name pathname)) (check-one (pathname-type pathname)) t))))) (defun* ensure-directory-pathname (pathspec) "Converts the non-wild pathname designator PATHSPEC to directory form." (cond ((stringp pathspec) (ensure-directory-pathname (pathname pathspec))) ((not (pathnamep pathspec)) (error (compatfmt "~@") pathspec)) ((wild-pathname-p pathspec) (error (compatfmt "~@") pathspec)) ((directory-pathname-p pathspec) pathspec) (t (make-pathname :directory (append (or (pathname-directory pathspec) (list :relative)) (list (file-namestring pathspec))) :name nil :type nil :version nil :defaults pathspec)))) #+genera (unless (fboundp 'ensure-directories-exist) (defun* ensure-directories-exist (path) (fs:create-directories-recursively (pathname path)))) (defun* absolute-pathname-p (pathspec) (and (typep pathspec '(or pathname string)) (eq :absolute (car (pathname-directory (pathname pathspec)))))) (defun* coerce-pathname (name &key type defaults) "coerce NAME into a PATHNAME. When given a string, portably decompose it into a relative pathname: #\\/ separates subdirectories. The last #\\/-separated string is as follows: if TYPE is NIL, its last #\\. if any separates name and type from from type; if TYPE is a string, it is the type, and the whole string is the name; if TYPE is :DIRECTORY, the string is a directory component; if the string is empty, it's a directory. Any directory named .. is read as :BACK. Host, device and version components are taken from DEFAULTS." ;; The defaults are required notably because they provide the default host ;; to the below make-pathname, which may crucially matter to people using ;; merge-pathnames with non-default hosts, e.g. for logical-pathnames. ;; NOTE that the host and device slots will be taken from the defaults, ;; but that should only matter if you later merge relative pathnames with ;; CL:MERGE-PATHNAMES instead of ASDF:MERGE-PATHNAMES* (etypecase name ((or null pathname) name) (symbol (coerce-pathname (string-downcase name) :type type :defaults defaults)) (string (multiple-value-bind (relative path filename) (component-name-to-pathname-components name :force-directory (eq type :directory) :force-relative t) (multiple-value-bind (name type) (cond ((or (eq type :directory) (null filename)) (values nil nil)) (type (values filename type)) (t (split-name-type filename))) (apply 'make-pathname :directory (cons relative path) :name name :type type (when defaults `(:defaults ,defaults)))))))) (defun* merge-component-name-type (name &key type defaults) ;; For backwards compatibility only, for people using internals. ;; Will be removed in a future release, e.g. 2.016. (warn "Please don't use ASDF::MERGE-COMPONENT-NAME-TYPE. Use ASDF:COERCE-PATHNAME.") (coerce-pathname name :type type :defaults defaults)) (defun* subpathname (pathname subpath &key type) (and pathname (merge-pathnames* (coerce-pathname subpath :type type) (pathname-directory-pathname pathname)))) (defun subpathname* (pathname subpath &key type) (and pathname (subpathname (ensure-directory-pathname pathname) subpath :type type))) (defun* length=n-p (x n) ;is it that (= (length x) n) ? (check-type n (integer 0 *)) (loop :for l = x :then (cdr l) :for i :downfrom n :do (cond ((zerop i) (return (null l))) ((not (consp l)) (return nil))))) (defun* ends-with (s suffix) (check-type s string) (check-type suffix string) (let ((start (- (length s) (length suffix)))) (and (<= 0 start) (string-equal s suffix :start1 start)))) (defun* read-file-forms (file) (with-open-file (in file) (loop :with eof = (list nil) :for form = (read in nil eof) :until (eq form eof) :collect form))) (defun* pathname-root (pathname) (make-pathname :directory '(:absolute) :name nil :type nil :version nil :defaults pathname ;; host device, and on scl, *some* ;; scheme-specific parts: port username password, not others: . #.(or #+scl '(:parameters nil :query nil :fragment nil)))) (defun* probe-file* (p) "when given a pathname P, probes the filesystem for a file or directory with given pathname and if it exists return its truename." (etypecase p (null nil) (string (probe-file* (parse-namestring p))) (pathname (unless (wild-pathname-p p) #.(or #+(or allegro clozure cmu cormanlisp ecl lispworks sbcl scl) '(probe-file p) #+clisp (aif (find-symbol* '#:probe-pathname :ext) `(ignore-errors (,it p))) '(ignore-errors (truename p))))))) (defun* truenamize (pathname &optional (defaults *default-pathname-defaults*)) "Resolve as much of a pathname as possible" (block nil (when (typep pathname '(or null logical-pathname)) (return pathname)) (let ((p (merge-pathnames* pathname defaults))) (when (typep p 'logical-pathname) (return p)) (let ((found (probe-file* p))) (when found (return found))) (unless (absolute-pathname-p p) (let ((true-defaults (ignore-errors (truename defaults)))) (when true-defaults (setf p (merge-pathnames pathname true-defaults))))) (unless (absolute-pathname-p p) (return p)) (let ((sofar (probe-file* (pathname-root p)))) (unless sofar (return p)) (flet ((solution (directories) (merge-pathnames* (make-pathname :host nil :device nil :directory `(:relative ,@directories) :name (pathname-name p) :type (pathname-type p) :version (pathname-version p)) sofar))) (loop :with directory = (normalize-pathname-directory-component (pathname-directory p)) :for component :in (cdr directory) :for rest :on (cdr directory) :for more = (probe-file* (merge-pathnames* (make-pathname :directory `(:relative ,component)) sofar)) :do (if more (setf sofar more) (return (solution rest))) :finally (return (solution nil)))))))) (defun* resolve-symlinks (path) #-allegro (truenamize path) #+allegro (if (typep path 'logical-pathname) path (excl:pathname-resolve-symbolic-links path))) (defun* resolve-symlinks* (path) (if *resolve-symlinks* (and path (resolve-symlinks path)) path)) (defun* ensure-pathname-absolute (path) (cond ((absolute-pathname-p path) path) ((stringp path) (ensure-pathname-absolute (pathname path))) ((not (pathnamep path)) (error "not a valid pathname designator ~S" path)) (t (let ((resolved (resolve-symlinks path))) (assert (absolute-pathname-p resolved)) resolved)))) (defun* default-directory () (truenamize (pathname-directory-pathname *default-pathname-defaults*))) (defun* lispize-pathname (input-file) (make-pathname :type "lisp" :defaults input-file)) (defparameter *wild* #-cormanlisp :wild #+cormanlisp "*") (defparameter *wild-file* (make-pathname :name *wild* :type *wild* :version (or #-(or abcl xcl) *wild*) :directory nil)) (defparameter *wild-directory* (make-pathname :directory `(:relative ,*wild*) :name nil :type nil :version nil)) (defparameter *wild-inferiors* (make-pathname :directory '(:relative :wild-inferiors) :name nil :type nil :version nil)) (defparameter *wild-path* (merge-pathnames *wild-file* *wild-inferiors*)) (defun* wilden (path) (merge-pathnames* *wild-path* path)) #-scl (defun* directory-separator-for-host (&optional (pathname *default-pathname-defaults*)) (let ((foo (make-pathname :directory '(:absolute "FOO") :defaults pathname))) (last-char (namestring foo)))) #-scl (defun* directorize-pathname-host-device (pathname) (let* ((root (pathname-root pathname)) (wild-root (wilden root)) (absolute-pathname (merge-pathnames* pathname root)) (separator (directory-separator-for-host root)) (root-namestring (namestring root)) (root-string (substitute-if #\/ #'(lambda (x) (or (eql x #\:) (eql x separator))) root-namestring))) (multiple-value-bind (relative path filename) (component-name-to-pathname-components root-string :force-directory t) (declare (ignore relative filename)) (let ((new-base (make-pathname :defaults root :directory `(:absolute ,@path)))) (translate-pathname absolute-pathname wild-root (wilden new-base)))))) #+scl (defun* directorize-pathname-host-device (pathname) (let ((scheme (ext:pathname-scheme pathname)) (host (pathname-host pathname)) (port (ext:pathname-port pathname)) (directory (pathname-directory pathname))) (flet ((specificp (x) (and x (not (eq x :unspecific))))) (if (or (specificp port) (and (specificp host) (plusp (length host))) (specificp scheme)) (let ((prefix "")) (when (specificp port) (setf prefix (format nil ":~D" port))) (when (and (specificp host) (plusp (length host))) (setf prefix (strcat host prefix))) (setf prefix (strcat ":" prefix)) (when (specificp scheme) (setf prefix (strcat scheme prefix))) (assert (and directory (eq (first directory) :absolute))) (make-pathname :directory `(:absolute ,prefix ,@(rest directory)) :defaults pathname))) pathname))) ;;;; ------------------------------------------------------------------------- ;;;; ASDF Interface, in terms of generic functions. (defgeneric* find-system (system &optional error-p)) (defgeneric* perform-with-restarts (operation component)) (defgeneric* perform (operation component)) (defgeneric* operation-done-p (operation component)) (defgeneric* mark-operation-done (operation component)) (defgeneric* explain (operation component)) (defgeneric* output-files (operation component)) (defgeneric* input-files (operation component)) (defgeneric* component-operation-time (operation component)) (defgeneric* operation-description (operation component) (:documentation "returns a phrase that describes performing this operation on this component, e.g. \"loading /a/b/c\". You can put together sentences using this phrase.")) (defgeneric* system-source-file (system) (:documentation "Return the source file in which system is defined.")) (defgeneric* component-system (component) (:documentation "Find the top-level system containing COMPONENT")) (defgeneric* component-pathname (component) (:documentation "Extracts the pathname applicable for a particular component.")) (defgeneric* component-relative-pathname (component) (:documentation "Returns a pathname for the component argument intended to be interpreted relative to the pathname of that component's parent. Despite the function's name, the return value may be an absolute pathname, because an absolute pathname may be interpreted relative to another pathname in a degenerate way.")) (defgeneric* component-property (component property)) (defgeneric* (setf component-property) (new-value component property)) (defgeneric* component-external-format (component)) (defgeneric* component-encoding (component)) (eval-when (#-gcl :compile-toplevel :load-toplevel :execute) (defgeneric* (setf module-components-by-name) (new-value module))) (defgeneric* version-satisfies (component version)) (defgeneric* find-component (base path) (:documentation "Finds the component with PATH starting from BASE module; if BASE is nil, then the component is assumed to be a system.")) (defgeneric* source-file-type (component system)) (defgeneric* operation-ancestor (operation) (:documentation "Recursively chase the operation's parent pointer until we get to the head of the tree")) (defgeneric* component-visited-p (operation component) (:documentation "Returns the value stored by a call to VISIT-COMPONENT, if that has been called, otherwise NIL. This value stored will be a cons cell, the first element of which is a computed key, so not interesting. The CDR wil be the DATA value stored by VISIT-COMPONENT; recover it as (cdr (component-visited-p op c)). In the current form of ASDF, the DATA value retrieved is effectively a boolean, indicating whether some operations are to be performed in order to do OPERATION X COMPONENT. If the data value is NIL, the combination had been explored, but no operations needed to be performed.")) (defgeneric* visit-component (operation component data) (:documentation "Record DATA as being associated with OPERATION and COMPONENT. This is a side-effecting function: the association will be recorded on the ROOT OPERATION \(OPERATION-ANCESTOR of the OPERATION\). No evidence that DATA is ever interesting, beyond just being non-NIL. Using the data field is probably very risky; if there is already a record for OPERATION X COMPONENT, DATA will be quietly discarded instead of recorded. Starting with 2.006, TRAVERSE will store an integer in data, so that nodes can be sorted in decreasing order of traversal.")) (defgeneric* (setf visiting-component) (new-value operation component)) (defgeneric* component-visiting-p (operation component)) (defgeneric* component-depends-on (operation component) (:documentation "Returns a list of dependencies needed by the component to perform the operation. A dependency has one of the following forms: ( *), where is a class designator and each is a component designator, which means that the component depends on having been performed on each ; or (FEATURE ), which means that the component depends on 's presence in *FEATURES*. Methods specialized on subclasses of existing component types should usually append the results of CALL-NEXT-METHOD to the list.")) (defgeneric* component-self-dependencies (operation component)) (defgeneric* traverse (operation component) (:documentation "Generate and return a plan for performing OPERATION on COMPONENT. The plan returned is a list of dotted-pairs. Each pair is the CONS of ASDF operation object and a COMPONENT object. The pairs will be processed in order by OPERATE.")) ;;;; ------------------------------------------------------------------------- ;;; Methods in case of hot-upgrade. See https://bugs.launchpad.net/asdf/+bug/485687 (when *upgraded-p* (when (find-class 'module nil) (eval '(defmethod update-instance-for-redefined-class :after ((m module) added deleted plist &key) (declare (ignorable deleted plist)) (when *asdf-verbose* (asdf-message (compatfmt "~&~@<; ~@;Updating ~A for ASDF ~A~@:>~%") m (asdf-version))) (when (member 'components-by-name added) (compute-module-components-by-name m)) (when (typep m 'system) (when (member 'source-file added) (%set-system-source-file (probe-asd (component-name m) (component-pathname m)) m) (when (equal (component-name m) "asdf") (setf (component-version m) *asdf-version*)))))))) ;;;; ------------------------------------------------------------------------- ;;;; Classes, Conditions (define-condition system-definition-error (error) () ;; [this use of :report should be redundant, but unfortunately it's not. ;; cmucl's lisp::output-instance prefers the kernel:slot-class-print-function ;; over print-object; this is always conditions::%print-condition for ;; condition objects, which in turn does inheritance of :report options at ;; run-time. fortunately, inheritance means we only need this kludge here in ;; order to fix all conditions that build on it. -- rgr, 28-Jul-02.] #+cmu (:report print-object)) (define-condition formatted-system-definition-error (system-definition-error) ((format-control :initarg :format-control :reader format-control) (format-arguments :initarg :format-arguments :reader format-arguments)) (:report (lambda (c s) (apply 'format s (format-control c) (format-arguments c))))) (define-condition load-system-definition-error (system-definition-error) ((name :initarg :name :reader error-name) (pathname :initarg :pathname :reader error-pathname) (condition :initarg :condition :reader error-condition)) (:report (lambda (c s) (format s (compatfmt "~@") (error-name c) (error-pathname c) (error-condition c))))) (define-condition circular-dependency (system-definition-error) ((components :initarg :components :reader circular-dependency-components)) (:report (lambda (c s) (format s (compatfmt "~@") (circular-dependency-components c))))) (define-condition duplicate-names (system-definition-error) ((name :initarg :name :reader duplicate-names-name)) (:report (lambda (c s) (format s (compatfmt "~@") (duplicate-names-name c))))) (define-condition missing-component (system-definition-error) ((requires :initform "(unnamed)" :reader missing-requires :initarg :requires) (parent :initform nil :reader missing-parent :initarg :parent))) (define-condition missing-component-of-version (missing-component) ((version :initform nil :reader missing-version :initarg :version))) (define-condition missing-dependency (missing-component) ((required-by :initarg :required-by :reader missing-required-by))) (define-condition missing-dependency-of-version (missing-dependency missing-component-of-version) ()) (define-condition operation-error (error) ((component :reader error-component :initarg :component) (operation :reader error-operation :initarg :operation)) (:report (lambda (c s) (format s (compatfmt "~@") (error-operation c) (error-component c))))) (define-condition compile-error (operation-error) ()) (define-condition compile-failed (compile-error) ()) (define-condition compile-warned (compile-error) ()) (define-condition invalid-configuration () ((form :reader condition-form :initarg :form) (location :reader condition-location :initarg :location) (format :reader condition-format :initarg :format) (arguments :reader condition-arguments :initarg :arguments :initform nil)) (:report (lambda (c s) (format s (compatfmt "~@<~? (will be skipped)~@:>") (condition-format c) (list* (condition-form c) (condition-location c) (condition-arguments c)))))) (define-condition invalid-source-registry (invalid-configuration warning) ((format :initform (compatfmt "~@")))) (define-condition invalid-output-translation (invalid-configuration warning) ((format :initform (compatfmt "~@")))) (defclass component () ((name :accessor component-name :initarg :name :type string :documentation "Component name: designator for a string composed of portable pathname characters") ;; We might want to constrain version with ;; :type (and string (satisfies parse-version)) ;; but we cannot until we fix all systems that don't use it correctly! (version :accessor component-version :initarg :version) (description :accessor component-description :initarg :description) (long-description :accessor component-long-description :initarg :long-description) ;; This one below is used by POIU - http://www.cliki.net/poiu ;; a parallelizing extension of ASDF that compiles in multiple parallel ;; slave processes (forked on demand) and loads in the master process. ;; Maybe in the future ASDF may use it internally instead of in-order-to. (load-dependencies :accessor component-load-dependencies :initform nil) ;; In the ASDF object model, dependencies exist between *actions* ;; (an action is a pair of operation and component). They are represented ;; alists of operations to dependencies (other actions) in each component. ;; There are two kinds of dependencies, each stored in its own slot: ;; in-order-to and do-first dependencies. These two kinds are related to ;; the fact that some actions modify the filesystem, ;; whereas other actions modify the current image, and ;; this implies a difference in how to interpret timestamps. ;; in-order-to dependencies will trigger re-performing the action ;; when the timestamp of some dependency ;; makes the timestamp of current action out-of-date; ;; do-first dependencies do not trigger such re-performing. ;; Therefore, a FASL must be recompiled if it is obsoleted ;; by any of its FASL dependencies (in-order-to); but ;; it needn't be recompiled just because one of these dependencies ;; hasn't yet been loaded in the current image (do-first). ;; The names are crap, but they have been the official API since Dan Barlow's ASDF 1.52! ;; LispWorks's defsystem has caused-by and requires for in-order-to and do-first respectively. ;; Maybe rename the slots in ASDF? But that's not very backwards compatible. ;; See our ASDF 2 paper for more complete explanations. (in-order-to :initform nil :initarg :in-order-to :accessor component-in-order-to) (do-first :initform nil :initarg :do-first :accessor component-do-first) ;; methods defined using the "inline" style inside a defsystem form: ;; need to store them somewhere so we can delete them when the system ;; is re-evaluated (inline-methods :accessor component-inline-methods :initform nil) (parent :initarg :parent :initform nil :reader component-parent) ;; no direct accessor for pathname, we do this as a method to allow ;; it to default in funky ways if not supplied (relative-pathname :initarg :pathname) ;; the absolute-pathname is computed based on relative-pathname... (absolute-pathname) (operation-times :initform (make-hash-table) :accessor component-operation-times) (around-compile :initarg :around-compile) (%encoding :accessor %component-encoding :initform nil :initarg :encoding) ;; XXX we should provide some atomic interface for updating the ;; component properties (properties :accessor component-properties :initarg :properties :initform nil))) (defun* component-find-path (component) (reverse (loop :for c = component :then (component-parent c) :while c :collect (component-name c)))) (defmethod print-object ((c component) stream) (print-unreadable-object (c stream :type t :identity nil) (format stream "~{~S~^ ~}" (component-find-path c)))) ;;;; methods: conditions (defmethod print-object ((c missing-dependency) s) (format s (compatfmt "~@<~A, required by ~A~@:>") (call-next-method c nil) (missing-required-by c))) (defun* sysdef-error (format &rest arguments) (error 'formatted-system-definition-error :format-control format :format-arguments arguments)) ;;;; methods: components (defmethod print-object ((c missing-component) s) (format s (compatfmt "~@") (missing-requires c) (when (missing-parent c) (coerce-name (missing-parent c))))) (defmethod print-object ((c missing-component-of-version) s) (format s (compatfmt "~@") (missing-requires c) (missing-version c) (when (missing-parent c) (coerce-name (missing-parent c))))) (defmethod component-system ((component component)) (aif (component-parent component) (component-system it) component)) (defvar *default-component-class* 'cl-source-file) (defun* compute-module-components-by-name (module) (let ((hash (make-hash-table :test 'equal))) (setf (module-components-by-name module) hash) (loop :for c :in (module-components module) :for name = (component-name c) :for previous = (gethash name (module-components-by-name module)) :do (when previous (error 'duplicate-names :name name)) :do (setf (gethash name (module-components-by-name module)) c)) hash)) (defclass module (component) ((components :initform nil :initarg :components :accessor module-components) (components-by-name :accessor module-components-by-name) ;; What to do if we can't satisfy a dependency of one of this module's ;; components. This allows a limited form of conditional processing. (if-component-dep-fails :initform :fail :initarg :if-component-dep-fails :accessor module-if-component-dep-fails) (default-component-class :initform *default-component-class* :initarg :default-component-class :accessor module-default-component-class))) (defun* component-parent-pathname (component) ;; No default anymore (in particular, no *default-pathname-defaults*). ;; If you force component to have a NULL pathname, you better arrange ;; for any of its children to explicitly provide a proper absolute pathname ;; wherever a pathname is actually wanted. (let ((parent (component-parent component))) (when parent (component-pathname parent)))) (defmethod component-pathname ((component component)) (if (slot-boundp component 'absolute-pathname) (slot-value component 'absolute-pathname) (let ((pathname (merge-pathnames* (component-relative-pathname component) (pathname-directory-pathname (component-parent-pathname component))))) (unless (or (null pathname) (absolute-pathname-p pathname)) (error (compatfmt "~@") pathname (component-find-path component))) (setf (slot-value component 'absolute-pathname) pathname) pathname))) (defmethod component-property ((c component) property) (cdr (assoc property (slot-value c 'properties) :test #'equal))) (defmethod (setf component-property) (new-value (c component) property) (let ((a (assoc property (slot-value c 'properties) :test #'equal))) (if a (setf (cdr a) new-value) (setf (slot-value c 'properties) (acons property new-value (slot-value c 'properties))))) new-value) (defvar *default-encoding* :default "Default encoding for source files. The default value :default preserves the legacy behavior. A future default might be :utf-8 or :autodetect reading emacs-style -*- coding: utf-8 -*- specifications, and falling back to utf-8 or latin1 if nothing is specified.") (defparameter *utf-8-external-format* #+(and asdf-unicode (not clisp)) :utf-8 #+(and asdf-unicode clisp) charset:utf-8 #-asdf-unicode :default "Default :external-format argument to pass to CL:OPEN and also CL:LOAD or CL:COMPILE-FILE to best process a UTF-8 encoded file. On modern implementations, this will decode UTF-8 code points as CL characters. On legacy implementations, it may fall back on some 8-bit encoding, with non-ASCII code points being read as several CL characters; hopefully, if done consistently, that won't affect program behavior too much.") (defun* always-default-encoding (pathname) (declare (ignore pathname)) *default-encoding*) (defvar *encoding-detection-hook* #'always-default-encoding "Hook for an extension to define a function to automatically detect a file's encoding") (defun* detect-encoding (pathname) (funcall *encoding-detection-hook* pathname)) (defmethod component-encoding ((c component)) (or (loop :for x = c :then (component-parent x) :while x :thereis (%component-encoding x)) (detect-encoding (component-pathname c)))) (defun* default-encoding-external-format (encoding) (case encoding (:default :default) ;; for backwards compatibility only. Explicit usage discouraged. (:utf-8 *utf-8-external-format*) (otherwise (cerror "Continue using :external-format :default" (compatfmt "~@") encoding) :default))) (defvar *encoding-external-format-hook* #'default-encoding-external-format "Hook for an extension to define a mapping between non-default encodings and implementation-defined external-format's") (defun encoding-external-format (encoding) (funcall *encoding-external-format-hook* encoding)) (defmethod component-external-format ((c component)) (encoding-external-format (component-encoding c))) (defclass proto-system () ; slots to keep when resetting a system ;; To preserve identity for all objects, we'd need keep the components slots ;; but also to modify parse-component-form to reset the recycled objects. ((name) #|(components) (components-by-names)|#)) (defclass system (module proto-system) (;; description and long-description are now available for all component's, ;; but now also inherited from component, but we add the legacy accessor (description :accessor system-description :initarg :description) (long-description :accessor system-long-description :initarg :long-description) (author :accessor system-author :initarg :author) (maintainer :accessor system-maintainer :initarg :maintainer) (licence :accessor system-licence :initarg :licence :accessor system-license :initarg :license) (source-file :reader %system-source-file :initarg :source-file ; for CLISP upgrade :writer %set-system-source-file) (defsystem-depends-on :reader system-defsystem-depends-on :initarg :defsystem-depends-on))) ;;;; ------------------------------------------------------------------------- ;;;; version-satisfies (defmethod version-satisfies ((c component) version) (unless (and version (slot-boundp c 'version)) (when version (warn "Requested version ~S but component ~S has no version" version c)) (return-from version-satisfies t)) (version-satisfies (component-version c) version)) (defun* asdf-version () "Exported interface to the version of ASDF currently installed. A string. You can compare this string with e.g.: (ASDF:VERSION-SATISFIES (ASDF:ASDF-VERSION) \"2.345.67\")." *asdf-version*) (defun* parse-version (string &optional on-error) "Parse a version string as a series of natural integers separated by dots. Return a (non-null) list of integers if the string is valid, NIL otherwise. If on-error is error, warn, or designates a function of compatible signature, the function is called with an explanation of what is wrong with the argument. NB: ignores leading zeroes, and so doesn't distinguish between 2.003 and 2.3" (and (or (stringp string) (when on-error (funcall on-error "~S: ~S is not a string" 'parse-version string)) nil) (or (loop :for prev = nil :then c :for c :across string :always (or (digit-char-p c) (and (eql c #\.) prev (not (eql prev #\.)))) :finally (return (and c (digit-char-p c)))) (when on-error (funcall on-error "~S: ~S doesn't follow asdf version numbering convention" 'parse-version string)) nil) (mapcar #'parse-integer (split-string string :separator ".")))) (defmethod version-satisfies ((cver string) version) (let ((x (parse-version cver 'warn)) (y (parse-version version 'warn))) (labels ((bigger (x y) (cond ((not y) t) ((not x) nil) ((> (car x) (car y)) t) ((= (car x) (car y)) (bigger (cdr x) (cdr y)))))) (and x y (= (car x) (car y)) (or (not (cdr y)) (bigger (cdr x) (cdr y))))))) ;;;; ----------------------------------------------------------------- ;;;; Windows shortcut support. Based on: ;;;; ;;;; Jesse Hager: The Windows Shortcut File Format. ;;;; http://www.wotsit.org/list.asp?fc=13 #-(or clisp genera) ; CLISP doesn't need it, and READ-SEQUENCE annoys old Genera. (progn (defparameter *link-initial-dword* 76) (defparameter *link-guid* #(1 20 2 0 0 0 0 0 192 0 0 0 0 0 0 70)) (defun* read-null-terminated-string (s) (with-output-to-string (out) (loop :for code = (read-byte s) :until (zerop code) :do (write-char (code-char code) out)))) (defun* read-little-endian (s &optional (bytes 4)) (loop :for i :from 0 :below bytes :sum (ash (read-byte s) (* 8 i)))) (defun* parse-file-location-info (s) (let ((start (file-position s)) (total-length (read-little-endian s)) (end-of-header (read-little-endian s)) (fli-flags (read-little-endian s)) (local-volume-offset (read-little-endian s)) (local-offset (read-little-endian s)) (network-volume-offset (read-little-endian s)) (remaining-offset (read-little-endian s))) (declare (ignore total-length end-of-header local-volume-offset)) (unless (zerop fli-flags) (cond ((logbitp 0 fli-flags) (file-position s (+ start local-offset))) ((logbitp 1 fli-flags) (file-position s (+ start network-volume-offset #x14)))) (strcat (read-null-terminated-string s) (progn (file-position s (+ start remaining-offset)) (read-null-terminated-string s)))))) (defun* parse-windows-shortcut (pathname) (with-open-file (s pathname :element-type '(unsigned-byte 8)) (handler-case (when (and (= (read-little-endian s) *link-initial-dword*) (let ((header (make-array (length *link-guid*)))) (read-sequence header s) (equalp header *link-guid*))) (let ((flags (read-little-endian s))) (file-position s 76) ;skip rest of header (when (logbitp 0 flags) ;; skip shell item id list (let ((length (read-little-endian s 2))) (file-position s (+ length (file-position s))))) (cond ((logbitp 1 flags) (parse-file-location-info s)) (t (when (logbitp 2 flags) ;; skip description string (let ((length (read-little-endian s 2))) (file-position s (+ length (file-position s))))) (when (logbitp 3 flags) ;; finally, our pathname (let* ((length (read-little-endian s 2)) (buffer (make-array length))) (read-sequence buffer s) (map 'string #'code-char buffer))))))) (end-of-file () nil))))) ;;;; ------------------------------------------------------------------------- ;;;; Finding systems (defun* make-defined-systems-table () (make-hash-table :test 'equal)) (defvar *defined-systems* (make-defined-systems-table) "This is a hash table whose keys are strings, being the names of the systems, and whose values are pairs, the first element of which is a universal-time indicating when the system definition was last updated, and the second element of which is a system object.") (defun* coerce-name (name) (typecase name (component (component-name name)) (symbol (string-downcase (symbol-name name))) (string name) (t (sysdef-error (compatfmt "~@") name)))) (defun* system-registered-p (name) (gethash (coerce-name name) *defined-systems*)) (defun* register-system (system) (check-type system system) (let ((name (component-name system))) (check-type name string) (asdf-message (compatfmt "~&~@<; ~@;Registering ~3i~_~A~@:>~%") system) (unless (eq system (cdr (gethash name *defined-systems*))) (setf (gethash name *defined-systems*) (cons (get-universal-time) system))))) (defun* clear-system (name) "Clear the entry for a system in the database of systems previously loaded. Note that this does NOT in any way cause the code of the system to be unloaded." ;; There is no "unload" operation in Common Lisp, and ;; a general such operation cannot be portably written, ;; considering how much CL relies on side-effects to global data structures. (remhash (coerce-name name) *defined-systems*)) (defun* map-systems (fn) "Apply FN to each defined system. FN should be a function of one argument. It will be called with an object of type asdf:system." (maphash #'(lambda (_ datum) (declare (ignore _)) (destructuring-bind (_ . def) datum (declare (ignore _)) (funcall fn def))) *defined-systems*)) ;;; for the sake of keeping things reasonably neat, we adopt a ;;; convention that functions in this list are prefixed SYSDEF- (defvar *system-definition-search-functions* '()) (setf *system-definition-search-functions* (append ;; Remove known-incompatible sysdef functions from ancient sbcl asdf. (remove 'contrib-sysdef-search *system-definition-search-functions*) ;; Tuck our defaults at the end of the list if they were absent. ;; This is imperfect, in case they were removed on purpose, ;; but then it will be the responsibility of whoever does that ;; to upgrade asdf before he does such a thing rather than after. (remove-if #'(lambda (x) (member x *system-definition-search-functions*)) '(sysdef-central-registry-search sysdef-source-registry-search sysdef-find-asdf)))) (defun* search-for-system-definition (system) (some (let ((name (coerce-name system))) #'(lambda (x) (funcall x name))) (cons 'find-system-if-being-defined *system-definition-search-functions*))) (defvar *central-registry* nil "A list of 'system directory designators' ASDF uses to find systems. A 'system directory designator' is a pathname or an expression which evaluates to a pathname. For example: (setf asdf:*central-registry* (list '*default-pathname-defaults* #p\"/home/me/cl/systems/\" #p\"/usr/share/common-lisp/systems/\")) This is for backward compatibilily. Going forward, we recommend new users should be using the source-registry. ") (defun* featurep (x &optional (features *features*)) (cond ((atom x) (and (member x features) t)) ((eq :not (car x)) (assert (null (cddr x))) (not (featurep (cadr x) features))) ((eq :or (car x)) (some #'(lambda (x) (featurep x features)) (cdr x))) ((eq :and (car x)) (every #'(lambda (x) (featurep x features)) (cdr x))) (t (error "Malformed feature specification ~S" x)))) (defun* os-unix-p () (featurep '(:or :unix :cygwin :darwin))) (defun* os-windows-p () (and (not (os-unix-p)) (featurep '(:or :win32 :windows :mswindows :mingw32)))) (defun* probe-asd (name defaults) (block nil (when (directory-pathname-p defaults) (let* ((file (probe-file* (subpathname defaults (strcat name ".asd"))))) (when file) (return file)) #-(or clisp genera) ; clisp doesn't need it, plain genera doesn't have read-sequence(!) (when (os-windows-p) (let ((shortcut (make-pathname :defaults defaults :version :newest :case :local :name (strcat name ".asd") :type "lnk"))) (when (probe-file* shortcut) (let ((target (parse-windows-shortcut shortcut))) (when target (return (pathname target)))))))))) (defun* sysdef-central-registry-search (system) (let ((name (coerce-name system)) (to-remove nil) (to-replace nil)) (block nil (unwind-protect (dolist (dir *central-registry*) (let ((defaults (eval dir))) (when defaults (cond ((directory-pathname-p defaults) (let ((file (probe-asd name defaults))) (when file (return file)))) (t (restart-case (let* ((*print-circle* nil) (message (format nil (compatfmt "~@") system dir defaults))) (error message)) (remove-entry-from-registry () :report "Remove entry from *central-registry* and continue" (push dir to-remove)) (coerce-entry-to-directory () :report (lambda (s) (format s (compatfmt "~@") (ensure-directory-pathname defaults) dir)) (push (cons dir (ensure-directory-pathname defaults)) to-replace)))))))) ;; cleanup (dolist (dir to-remove) (setf *central-registry* (remove dir *central-registry*))) (dolist (pair to-replace) (let* ((current (car pair)) (new (cdr pair)) (position (position current *central-registry*))) (setf *central-registry* (append (subseq *central-registry* 0 position) (list new) (subseq *central-registry* (1+ position)))))))))) (defun* make-temporary-package () (flet ((try (counter) (ignore-errors (make-package (format nil "~A~D" :asdf counter) :use '(:cl :asdf))))) (do* ((counter 0 (+ counter 1)) (package (try counter) (try counter))) (package package)))) (defun* safe-file-write-date (pathname) ;; If FILE-WRITE-DATE returns NIL, it's possible that ;; the user or some other agent has deleted an input file. ;; Also, generated files will not exist at the time planning is done ;; and calls operation-done-p which calls safe-file-write-date. ;; So it is very possible that we can't get a valid file-write-date, ;; and we can survive and we will continue the planning ;; as if the file were very old. ;; (or should we treat the case in a different, special way?) (or (and pathname (probe-file* pathname) (ignore-errors (file-write-date pathname))) (progn (when (and pathname *asdf-verbose*) (warn (compatfmt "~@") pathname)) 0))) (defmethod find-system ((name null) &optional (error-p t)) (declare (ignorable name)) (when error-p (sysdef-error (compatfmt "~@")))) (defmethod find-system (name &optional (error-p t)) (find-system (coerce-name name) error-p)) (defvar *systems-being-defined* nil "A hash-table of systems currently being defined keyed by name, or NIL") (defun* find-system-if-being-defined (name) (when *systems-being-defined* (gethash (coerce-name name) *systems-being-defined*))) (defun* call-with-system-definitions (thunk) (if *systems-being-defined* (funcall thunk) (let ((*systems-being-defined* (make-hash-table :test 'equal))) (funcall thunk)))) (defmacro with-system-definitions ((&optional) &body body) `(call-with-system-definitions #'(lambda () ,@body))) (defun* load-sysdef (name pathname) ;; Tries to load system definition with canonical NAME from PATHNAME. (with-system-definitions () (let ((package (make-temporary-package))) (unwind-protect (handler-bind ((error #'(lambda (condition) (error 'load-system-definition-error :name name :pathname pathname :condition condition)))) (let ((*package* package) (*default-pathname-defaults* ;; resolve logical-pathnames so they won't wreak havoc in parsing namestrings. (pathname-directory-pathname (translate-logical-pathname pathname))) (external-format (encoding-external-format (detect-encoding pathname)))) (asdf-message (compatfmt "~&~@<; ~@;Loading system definition from ~A into ~A~@:>~%") pathname package) (load pathname :external-format external-format))) (delete-package package))))) (defun* locate-system (name) "Given a system NAME designator, try to locate where to load the system from. Returns four values: FOUND-SYSTEM PATHNAME PREVIOUS PREVIOUS-TIME FOUNDP is true when a new was found, either a new unregistered one or a previously registered one. FOUND-SYSTEM when not null is a SYSTEM object that may be REGISTER-SYSTEM'ed as is PATHNAME when not null is a path from where to load the system, associated with FOUND-SYSTEM, or with the PREVIOUS system. PREVIOUS when not null is a previously loaded SYSTEM object of same name. PREVIOUS-TIME when not null is the time at which the PREVIOUS system was loaded." (let* ((name (coerce-name name)) (in-memory (system-registered-p name)) ; load from disk if absent or newer on disk (previous (cdr in-memory)) (previous (and (typep previous 'system) previous)) (previous-time (car in-memory)) (found (search-for-system-definition name)) (found-system (and (typep found 'system) found)) (pathname (or (and (typep found '(or pathname string)) (pathname found)) (and found-system (system-source-file found-system)) (and previous ;; might be missing when upgrading from ASDF 1. (slot-boundp previous 'source-file) (system-source-file previous)))) (foundp (and (or found-system pathname previous) t))) (check-type found (or null pathname system)) (when foundp (setf pathname (resolve-symlinks* pathname)) (when (and pathname (not (absolute-pathname-p pathname))) (setf pathname (ensure-pathname-absolute pathname)) (when found-system (%set-system-source-file pathname found-system))) (when (and previous (not (#-cormanlisp equal #+cormanlisp equalp (system-source-file previous) pathname))) (%set-system-source-file pathname previous) (setf previous-time nil)) (values foundp found-system pathname previous previous-time)))) (defmethod find-system ((name string) &optional (error-p t)) (with-system-definitions () (loop (restart-case (multiple-value-bind (foundp found-system pathname previous previous-time) (locate-system name) (declare (ignore foundp)) (when (and found-system (not previous)) (register-system found-system)) (when (and pathname (or (not previous-time) ;; don't reload if it's already been loaded, ;; or its filestamp is in the future which means some clock is skewed ;; and trying to load might cause an infinite loop. (< previous-time (safe-file-write-date pathname) (get-universal-time)))) (load-sysdef name pathname)) (let ((in-memory (system-registered-p name))) ; try again after loading from disk if needed (return (cond (in-memory (when pathname (setf (car in-memory) (safe-file-write-date pathname))) (cdr in-memory)) (error-p (error 'missing-component :requires name)))))) (reinitialize-source-registry-and-retry () :report (lambda (s) (format s (compatfmt "~@") name)) (initialize-source-registry)))))) (defun* find-system-fallback (requested fallback &rest keys &key source-file &allow-other-keys) (setf fallback (coerce-name fallback) requested (coerce-name requested)) (when (equal requested fallback) (let ((registered (cdr (gethash fallback *defined-systems*)))) (or registered (apply 'make-instance 'system :name fallback :source-file source-file keys))))) (defun* sysdef-find-asdf (name) ;; Bug: :version *asdf-version* won't be updated when ASDF is updated. (find-system-fallback name "asdf" :version *asdf-version*)) ;;;; ------------------------------------------------------------------------- ;;;; Finding components (defmethod find-component ((base string) path) (let ((s (find-system base nil))) (and s (find-component s path)))) (defmethod find-component ((base symbol) path) (cond (base (find-component (coerce-name base) path)) (path (find-component path nil)) (t nil))) (defmethod find-component ((base cons) path) (find-component (car base) (cons (cdr base) path))) (defmethod find-component ((module module) (name string)) (unless (slot-boundp module 'components-by-name) ;; SBCL may miss the u-i-f-r-c method!!! (compute-module-components-by-name module)) (values (gethash name (module-components-by-name module)))) (defmethod find-component ((component component) (name symbol)) (if name (find-component component (coerce-name name)) component)) (defmethod find-component ((module module) (name cons)) (find-component (find-component module (car name)) (cdr name))) ;;; component subclasses (defclass source-file (component) ((type :accessor source-file-explicit-type :initarg :type :initform nil))) (defclass cl-source-file (source-file) ((type :initform "lisp"))) (defclass cl-source-file.cl (cl-source-file) ((type :initform "cl"))) (defclass cl-source-file.lsp (cl-source-file) ((type :initform "lsp"))) (defclass c-source-file (source-file) ((type :initform "c"))) (defclass java-source-file (source-file) ((type :initform "java"))) (defclass static-file (source-file) ()) (defclass doc-file (static-file) ()) (defclass html-file (doc-file) ((type :initform "html"))) (defmethod source-file-type ((component module) (s module)) (declare (ignorable component s)) :directory) (defmethod source-file-type ((component source-file) (s module)) (declare (ignorable s)) (source-file-explicit-type component)) (defmethod component-relative-pathname ((component component)) (coerce-pathname (or (slot-value component 'relative-pathname) (component-name component)) :type (source-file-type component (component-system component)) :defaults (component-parent-pathname component))) ;;;; ------------------------------------------------------------------------- ;;;; Operations ;;; one of these is instantiated whenever #'operate is called (defclass operation () (;; as of danb's 2003-03-16 commit e0d02781, :force can be: ;; T to force the inside of the specified system, ;; but not recurse to other systems we depend on. ;; :ALL (or any other atom) to force all systems ;; including other systems we depend on. ;; (SYSTEM1 SYSTEM2 ... SYSTEMN) ;; to force systems named in a given list ;; However, but this feature has only ever worked but starting with ASDF 2.014.5 (forced :initform nil :initarg :force :accessor operation-forced) (original-initargs :initform nil :initarg :original-initargs :accessor operation-original-initargs) (visited-nodes :initform (make-hash-table :test 'equal) :accessor operation-visited-nodes) (visiting-nodes :initform (make-hash-table :test 'equal) :accessor operation-visiting-nodes) (parent :initform nil :initarg :parent :accessor operation-parent))) (defmethod print-object ((o operation) stream) (print-unreadable-object (o stream :type t :identity t) (ignore-errors (prin1 (operation-original-initargs o) stream)))) (defmethod shared-initialize :after ((operation operation) slot-names &key force &allow-other-keys) (declare (ignorable operation slot-names force)) ;; empty method to disable initarg validity checking (values)) (defun* node-for (o c) (cons (class-name (class-of o)) c)) (defmethod operation-ancestor ((operation operation)) (aif (operation-parent operation) (operation-ancestor it) operation)) (defun* make-sub-operation (c o dep-c dep-o) "C is a component, O is an operation, DEP-C is another component, and DEP-O, confusingly enough, is an operation class specifier, not an operation." (let* ((args (copy-list (operation-original-initargs o))) (force-p (getf args :force))) ;; note explicit comparison with T: any other non-NIL force value ;; (e.g. :recursive) will pass through (cond ((and (null (component-parent c)) (null (component-parent dep-c)) (not (eql c dep-c))) (when (eql force-p t) (setf (getf args :force) nil)) (apply 'make-instance dep-o :parent o :original-initargs args args)) ((subtypep (type-of o) dep-o) o) (t (apply 'make-instance dep-o :parent o :original-initargs args args))))) (defmethod visit-component ((o operation) (c component) data) (unless (component-visited-p o c) (setf (gethash (node-for o c) (operation-visited-nodes (operation-ancestor o))) (cons t data)))) (defmethod component-visited-p ((o operation) (c component)) (gethash (node-for o c) (operation-visited-nodes (operation-ancestor o)))) (defmethod (setf visiting-component) (new-value operation component) ;; MCL complains about unused lexical variables (declare (ignorable operation component)) new-value) (defmethod (setf visiting-component) (new-value (o operation) (c component)) (let ((node (node-for o c)) (a (operation-ancestor o))) (if new-value (setf (gethash node (operation-visiting-nodes a)) t) (remhash node (operation-visiting-nodes a))) new-value)) (defmethod component-visiting-p ((o operation) (c component)) (let ((node (node-for o c))) (gethash node (operation-visiting-nodes (operation-ancestor o))))) (defmethod component-depends-on ((op-spec symbol) (c component)) ;; Note: we go from op-spec to operation via make-instance ;; to allow for specialization through defmethod's, even though ;; it's a detour in the default case below. (component-depends-on (make-instance op-spec) c)) (defmethod component-depends-on ((o operation) (c component)) (cdr (assoc (type-of o) (component-in-order-to c)))) (defmethod component-self-dependencies ((o operation) (c component)) (remove-if-not #'(lambda (x) (member (component-name c) (cdr x) :test #'string=)) (component-depends-on o c))) (defmethod input-files ((operation operation) (c component)) (let ((parent (component-parent c)) (self-deps (component-self-dependencies operation c))) (if self-deps (mapcan #'(lambda (dep) (destructuring-bind (op name) dep (output-files (make-instance op) (find-component parent name)))) self-deps) ;; no previous operations needed? I guess we work with the ;; original source file, then (list (component-pathname c))))) (defmethod input-files ((operation operation) (c module)) (declare (ignorable operation c)) nil) (defmethod component-operation-time (o c) (gethash (type-of o) (component-operation-times c))) (defmethod operation-done-p ((o operation) (c component)) (let ((out-files (output-files o c)) (in-files (input-files o c)) (op-time (component-operation-time o c))) (flet ((earliest-out () (reduce #'min (mapcar #'safe-file-write-date out-files))) (latest-in () (reduce #'max (mapcar #'safe-file-write-date in-files)))) (cond ((and (not in-files) (not out-files)) ;; arbitrary decision: an operation that uses nothing to ;; produce nothing probably isn't doing much. ;; e.g. operations on systems, modules that have no immediate action, ;; but are only meaningful through traversed dependencies t) ((not out-files) ;; an operation without output-files is probably meant ;; for its side-effects in the current image, ;; assumed to be idem-potent, ;; e.g. LOAD-OP or LOAD-SOURCE-OP of some CL-SOURCE-FILE. (and op-time (>= op-time (latest-in)))) ((not in-files) ;; an operation with output-files and no input-files ;; is probably meant for its side-effects on the file-system, ;; assumed to have to be done everytime. ;; (I don't think there is any such case in ASDF unless extended) nil) (t ;; an operation with both input and output files is assumed ;; as computing the latter from the former, ;; assumed to have been done if the latter are all older ;; than the former. ;; e.g. COMPILE-OP of some CL-SOURCE-FILE. ;; We use >= instead of > to play nice with generated files. ;; This opens a race condition if an input file is changed ;; after the output is created but within the same second ;; of filesystem time; but the same race condition exists ;; whenever the computation from input to output takes more ;; than one second of filesystem time (or just crosses the ;; second). So that's cool. (and (every #'probe-file* in-files) (every #'probe-file* out-files) (>= (earliest-out) (latest-in)))))))) ;;; For 1.700 I've done my best to refactor TRAVERSE ;;; by splitting it up in a bunch of functions, ;;; so as to improve the collection and use-detection algorithm. --fare ;;; The protocol is as follows: we pass around operation, dependency, ;;; bunch of other stuff, and a force argument. Return a force flag. ;;; The returned flag is T if anything has changed that requires a rebuild. ;;; The force argument is a list of components that will require a rebuild ;;; if the flag is T, at which point whoever returns the flag has to ;;; mark them all as forced, and whoever recurses again can use a NIL list ;;; as a further argument. (defvar *forcing* nil "This dynamically-bound variable is used to force operations in recursive calls to traverse.") (defgeneric* do-traverse (operation component collect)) (defun* resolve-dependency-name (component name &optional version) (loop (restart-case (return (let ((comp (find-component (component-parent component) name))) (unless comp (error 'missing-dependency :required-by component :requires name)) (when version (unless (version-satisfies comp version) (error 'missing-dependency-of-version :required-by component :version version :requires name))) comp)) (retry () :report (lambda (s) (format s (compatfmt "~@") name)) :test (lambda (c) (or (null c) (and (typep c 'missing-dependency) (eq (missing-required-by c) component) (equal (missing-requires c) name)))))))) (defun* resolve-dependency-spec (component dep-spec) (cond ((atom dep-spec) (resolve-dependency-name component dep-spec)) ;; Structured dependencies --- this parses keywords. ;; The keywords could conceivably be broken out and cleanly (extensibly) ;; processed by EQL methods. But for now, here's what we've got. ((eq :version (first dep-spec)) ;; https://bugs.launchpad.net/asdf/+bug/527788 (resolve-dependency-name component (second dep-spec) (third dep-spec))) ((eq :feature (first dep-spec)) ;; This particular subform is not documented and ;; has always been broken in the past. ;; Therefore no one uses it, and I'm cerroring it out, ;; after fixing it ;; See https://bugs.launchpad.net/asdf/+bug/518467 (cerror "Continue nonetheless." "Congratulations, you're the first ever user of FEATURE dependencies! Please contact the asdf-devel mailing-list.") (when (find (second dep-spec) *features* :test 'string-equal) (resolve-dependency-name component (third dep-spec)))) (t (error (compatfmt "~@ ), (:feature ), or .~@:>") dep-spec)))) (defun* do-one-dep (op c collect dep-op dep-c) ;; Collects a partial plan for performing dep-op on dep-c ;; as dependencies of a larger plan involving op and c. ;; Returns t if this should force recompilation of those who depend on us. ;; dep-op is an operation class name (not an operation object), ;; whereas dep-c is a component object.n (do-traverse (make-sub-operation c op dep-c dep-op) dep-c collect)) (defun* do-dep (op c collect dep-op-spec dep-c-specs) ;; Collects a partial plan for performing dep-op-spec on each of dep-c-specs ;; as dependencies of a larger plan involving op and c. ;; Returns t if this should force recompilation of those who depend on us. ;; dep-op-spec is either an operation class name (not an operation object), ;; or the magic symbol asdf:feature. ;; If dep-op-spec is asdf:feature, then the first dep-c-specs is a keyword, ;; and the plan will succeed if that keyword is present in *feature*, ;; or fail if it isn't ;; (at which point c's :if-component-dep-fails will kick in). ;; If dep-op-spec is an operation class name, ;; then dep-c-specs specifies a list of sibling component of c, ;; as per resolve-dependency-spec, such that operating op on c ;; depends on operating dep-op-spec on each of them. (cond ((eq dep-op-spec 'feature) (if (member (car dep-c-specs) *features*) nil (error 'missing-dependency :required-by c :requires (list :feature (car dep-c-specs))))) (t (let ((flag nil)) (dolist (d dep-c-specs) (when (do-one-dep op c collect dep-op-spec (resolve-dependency-spec c d)) (setf flag t))) flag)))) (defvar *visit-count* 0) ; counter that allows to sort nodes from operation-visited-nodes (defun* do-collect (collect x) (funcall collect x)) (defmethod do-traverse ((operation operation) (c component) collect) (let ((*forcing* *forcing*) (flag nil)) ;; return value: must we rebuild this and its dependencies? (labels ((update-flag (x) (orf flag x)) (dep (op comp) (update-flag (do-dep operation c collect op comp)))) ;; Have we been visited yet? If so, just process the result. (aif (component-visited-p operation c) (progn (update-flag (cdr it)) (return-from do-traverse flag))) ;; dependencies (when (component-visiting-p operation c) (error 'circular-dependency :components (list c))) (setf (visiting-component operation c) t) (unwind-protect (progn (let ((f (operation-forced (operation-ancestor operation)))) (when (and f (or (not (consp f)) ;; T or :ALL (and (typep c 'system) ;; list of names of systems to force (member (component-name c) f :test #'string=)))) (setf *forcing* t))) ;; first we check and do all the dependencies for the module. ;; Operations planned in this loop will show up ;; in the results, and are consumed below. (let ((*forcing* nil)) ;; upstream dependencies are never forced to happen just because ;; the things that depend on them are.... (loop :for (required-op . deps) :in (component-depends-on operation c) :do (dep required-op deps))) ;; constituent bits (let ((module-ops (when (typep c 'module) (let ((at-least-one nil) ;; This is set based on the results of the ;; dependencies and whether we are in the ;; context of a *forcing* call... ;; inter-system dependencies do NOT trigger ;; building components (*forcing* (or *forcing* (and flag (not (typep c 'system))))) (error nil)) (while-collecting (internal-collect) (dolist (kid (module-components c)) (handler-case (update-flag (do-traverse operation kid #'internal-collect)) #-genera (missing-dependency (condition) (when (eq (module-if-component-dep-fails c) :fail) (error condition)) (setf error condition)) (:no-error (c) (declare (ignore c)) (setf at-least-one t)))) (when (and (eq (module-if-component-dep-fails c) :try-next) (not at-least-one)) (error error))))))) (update-flag (or *forcing* (not (operation-done-p operation c)))) ;; For sub-operations, check whether ;; the original ancestor operation was forced, ;; or names us amongst an explicit list of things to force... ;; except that this check doesn't distinguish ;; between all the things with a given name. Sigh. ;; BROKEN! (when flag (let ((do-first (cdr (assoc (class-name (class-of operation)) (component-do-first c))))) (loop :for (required-op . deps) :in do-first :do (do-dep operation c collect required-op deps))) (do-collect collect (vector module-ops)) (do-collect collect (cons operation c))))) (setf (visiting-component operation c) nil))) (visit-component operation c (when flag (incf *visit-count*))) flag)) (defun* flatten-tree (l) ;; You collected things into a list. ;; Most elements are just things to collect again. ;; A (simple-vector 1) indicate that you should recurse into its contents. ;; This way, in two passes (rather than N being the depth of the tree), ;; you can collect things with marginally constant-time append, ;; achieving linear time collection instead of quadratic time. (while-collecting (c) (labels ((r (x) (if (typep x '(simple-vector 1)) (r* (svref x 0)) (c x))) (r* (l) (dolist (x l) (r x)))) (r* l)))) (defmethod traverse ((operation operation) (c component)) (when (consp (operation-forced operation)) (setf (operation-forced operation) (mapcar #'coerce-name (operation-forced operation)))) (flatten-tree (while-collecting (collect) (let ((*visit-count* 0)) (do-traverse operation c #'collect))))) (defmethod perform ((operation operation) (c source-file)) (sysdef-error (compatfmt "~@") (class-of operation) (class-of c))) (defmethod perform ((operation operation) (c module)) (declare (ignorable operation c)) nil) (defmethod mark-operation-done ((operation operation) (c component)) (setf (gethash (type-of operation) (component-operation-times c)) (reduce #'max (cons (get-universal-time) (mapcar #'safe-file-write-date (input-files operation c)))))) (defmethod perform-with-restarts (operation component) ;; TOO verbose, especially as the default. Add your own :before method ;; to perform-with-restart or perform if you want that: #|(when *asdf-verbose* (explain operation component))|# (perform operation component)) (defmethod perform-with-restarts :around (operation component) (loop (restart-case (return (call-next-method)) (retry () :report (lambda (s) (format s (compatfmt "~@") (operation-description operation component)))) (accept () :report (lambda (s) (format s (compatfmt "~@") (operation-description operation component))) (mark-operation-done operation component) (return))))) (defmethod explain ((operation operation) (component component)) (asdf-message (compatfmt "~&~@<; ~@;~A~:>~%") (operation-description operation component))) (defmethod operation-description (operation component) (format nil (compatfmt "~@<~A on ~A~@:>") (class-of operation) component)) ;;;; ------------------------------------------------------------------------- ;;;; compile-op (defclass compile-op (operation) ((proclamations :initarg :proclamations :accessor compile-op-proclamations :initform nil) (on-warnings :initarg :on-warnings :accessor operation-on-warnings :initform *compile-file-warnings-behaviour*) (on-failure :initarg :on-failure :accessor operation-on-failure :initform *compile-file-failure-behaviour*) (flags :initarg :flags :accessor compile-op-flags :initform nil))) (defun* output-file (operation component) "The unique output file of performing OPERATION on COMPONENT" (let ((files (output-files operation component))) (assert (length=n-p files 1)) (first files))) (defun* ensure-all-directories-exist (pathnames) (dolist (pathname pathnames) (ensure-directories-exist (translate-logical-pathname pathname)))) (defmethod perform :before ((operation compile-op) (c source-file)) (ensure-all-directories-exist (output-files operation c))) (defmethod perform :after ((operation operation) (c component)) (mark-operation-done operation c)) (defgeneric* around-compile-hook (component)) (defgeneric* call-with-around-compile-hook (component thunk)) (defmethod around-compile-hook ((c component)) (cond ((slot-boundp c 'around-compile) (slot-value c 'around-compile)) ((component-parent c) (around-compile-hook (component-parent c))))) (defun ensure-function (fun &key (package :asdf)) (etypecase fun ((or symbol function) fun) (cons (eval `(function ,fun))) (string (eval `(function ,(with-standard-io-syntax (let ((*package* (find-package package))) (read-from-string fun)))))))) (defmethod call-with-around-compile-hook ((c component) thunk) (let ((hook (around-compile-hook c))) (if hook (funcall (ensure-function hook) thunk) (funcall thunk)))) (defvar *compile-op-compile-file-function* 'compile-file* "Function used to compile lisp files.") ;;; perform is required to check output-files to find out where to put ;;; its answers, in case it has been overridden for site policy (defmethod perform ((operation compile-op) (c cl-source-file)) #-:broken-fasl-loader (let ((source-file (component-pathname c)) ;; on some implementations, there are more than one output-file, ;; but the first one should always be the primary fasl that gets loaded. (output-file (first (output-files operation c))) (*compile-file-warnings-behaviour* (operation-on-warnings operation)) (*compile-file-failure-behaviour* (operation-on-failure operation))) (multiple-value-bind (output warnings-p failure-p) (call-with-around-compile-hook c #'(lambda () (apply *compile-op-compile-file-function* source-file :output-file output-file :external-format (component-external-format c) (compile-op-flags operation)))) (unless output (error 'compile-error :component c :operation operation)) (when failure-p (case (operation-on-failure operation) (:warn (warn (compatfmt "~@") operation c)) (:error (error 'compile-failed :component c :operation operation)) (:ignore nil))) (when warnings-p (case (operation-on-warnings operation) (:warn (warn (compatfmt "~@") operation c)) (:error (error 'compile-warned :component c :operation operation)) (:ignore nil)))))) (defmethod output-files ((operation compile-op) (c cl-source-file)) (declare (ignorable operation)) (let ((p (lispize-pathname (component-pathname c)))) #-broken-fasl-loader (list (compile-file-pathname p)) #+broken-fasl-loader (list p))) (defmethod perform ((operation compile-op) (c static-file)) (declare (ignorable operation c)) nil) (defmethod output-files ((operation compile-op) (c static-file)) (declare (ignorable operation c)) nil) (defmethod input-files ((operation compile-op) (c static-file)) (declare (ignorable operation c)) nil) (defmethod operation-description ((operation compile-op) component) (declare (ignorable operation)) (format nil (compatfmt "~@") component)) (defmethod operation-description ((operation compile-op) (component module)) (declare (ignorable operation)) (format nil (compatfmt "~@") component)) ;;;; ------------------------------------------------------------------------- ;;;; load-op (defclass basic-load-op (operation) ()) (defclass load-op (basic-load-op) ()) (defmethod perform-with-restarts ((o load-op) (c cl-source-file)) (loop (restart-case (return (call-next-method)) (try-recompiling () :report (lambda (s) (format s "Recompile ~a and try loading it again" (component-name c))) (perform (make-sub-operation c o c 'compile-op) c))))) (defmethod perform ((o load-op) (c cl-source-file)) (map () #'load (input-files o c))) (defmethod perform ((operation load-op) (c static-file)) (declare (ignorable operation c)) nil) (defmethod operation-done-p ((operation load-op) (c static-file)) (declare (ignorable operation c)) t) (defmethod output-files ((operation operation) (c component)) (declare (ignorable operation c)) nil) (defmethod component-depends-on ((operation load-op) (c component)) (declare (ignorable operation)) (cons (list 'compile-op (component-name c)) (call-next-method))) (defmethod operation-description ((operation load-op) component) (declare (ignorable operation)) (format nil (compatfmt "~@") component)) (defmethod operation-description ((operation load-op) (component cl-source-file)) (declare (ignorable operation)) (format nil (compatfmt "~@") component)) (defmethod operation-description ((operation load-op) (component module)) (declare (ignorable operation)) (format nil (compatfmt "~@") component)) ;;;; ------------------------------------------------------------------------- ;;;; load-source-op (defclass load-source-op (basic-load-op) ()) (defmethod perform ((o load-source-op) (c cl-source-file)) (declare (ignorable o)) (let ((source (component-pathname c))) (setf (component-property c 'last-loaded-as-source) (and (call-with-around-compile-hook c #'(lambda () (load source :external-format (component-external-format c)))) (get-universal-time))))) (defmethod perform ((operation load-source-op) (c static-file)) (declare (ignorable operation c)) nil) (defmethod output-files ((operation load-source-op) (c component)) (declare (ignorable operation c)) nil) ;;; FIXME: We simply copy load-op's dependencies. This is Just Not Right. (defmethod component-depends-on ((o load-source-op) (c component)) (declare (ignorable o)) (loop :with what-would-load-op-do = (component-depends-on 'load-op c) :for (op . co) :in what-would-load-op-do :when (eq op 'load-op) :collect (cons 'load-source-op co))) (defmethod operation-done-p ((o load-source-op) (c source-file)) (declare (ignorable o)) (if (or (not (component-property c 'last-loaded-as-source)) (> (safe-file-write-date (component-pathname c)) (component-property c 'last-loaded-as-source))) nil t)) (defmethod operation-description ((operation load-source-op) component) (declare (ignorable operation)) (format nil (compatfmt "~@") component)) (defmethod operation-description ((operation load-source-op) (component module)) (declare (ignorable operation)) (format nil (compatfmt "~@") component)) ;;;; ------------------------------------------------------------------------- ;;;; test-op (defclass test-op (operation) ()) (defmethod perform ((operation test-op) (c component)) (declare (ignorable operation c)) nil) (defmethod operation-done-p ((operation test-op) (c system)) "Testing a system is _never_ done." (declare (ignorable operation c)) nil) (defmethod component-depends-on :around ((o test-op) (c system)) (declare (ignorable o)) (cons `(load-op ,(component-name c)) (call-next-method))) ;;;; ------------------------------------------------------------------------- ;;;; Invoking Operations (defgeneric* operate (operation-class system &key &allow-other-keys)) (defgeneric* perform-plan (plan &key)) ;;;; Separating this into a different function makes it more forward-compatible (defun* cleanup-upgraded-asdf (old-version) (let ((new-version (asdf-version))) (unless (equal old-version new-version) (cond ((version-satisfies new-version old-version) (asdf-message (compatfmt "~&~@<; ~@;Upgraded ASDF from version ~A to version ~A~@:>~%") old-version new-version)) ((version-satisfies old-version new-version) (warn (compatfmt "~&~@<; ~@;Downgraded ASDF from version ~A to version ~A~@:>~%") old-version new-version)) (t (asdf-message (compatfmt "~&~@<; ~@;Changed ASDF from version ~A to incompatible version ~A~@:>~%") old-version new-version))) (let ((asdf (funcall (find-symbol* 'find-system :asdf) :asdf))) ;; Invalidate all systems but ASDF itself. (setf *defined-systems* (make-defined-systems-table)) (register-system asdf) ;; If we're in the middle of something, restart it. (when *systems-being-defined* (let ((l (loop :for name :being :the :hash-keys :of *systems-being-defined* :collect name))) (clrhash *systems-being-defined*) (dolist (s l) (find-system s nil)))) t)))) ;;;; Try to upgrade of ASDF. If a different version was used, return T. ;;;; We need do that before we operate on anything that depends on ASDF. (defun* upgrade-asdf () (let ((version (asdf-version))) (handler-bind (((or style-warning warning) #'muffle-warning)) (operate 'load-op :asdf :verbose nil)) (cleanup-upgraded-asdf version))) (defmethod perform-plan ((steps list) &key) (let ((*package* *package*) (*readtable* *readtable*)) (with-compilation-unit () (loop :for (op . component) :in steps :do (perform-with-restarts op component))))) (defmethod operate (operation-class system &rest args &key ((:verbose *asdf-verbose*) *asdf-verbose*) version force &allow-other-keys) (declare (ignore force)) (with-system-definitions () (let* ((op (apply 'make-instance operation-class :original-initargs args args)) (*verbose-out* (if *asdf-verbose* *standard-output* (make-broadcast-stream))) (system (etypecase system (system system) ((or string symbol) (find-system system))))) (unless (version-satisfies system version) (error 'missing-component-of-version :requires system :version version)) (let ((steps (traverse op system))) (when (and (not (equal '("asdf") (component-find-path system))) (find '("asdf") (mapcar 'cdr steps) :test 'equal :key 'component-find-path) (upgrade-asdf)) ;; If we needed to upgrade ASDF to achieve our goal, ;; then do it specially as the first thing, then ;; invalidate all existing system ;; retry the whole thing with the new OPERATE function, ;; which on some implementations ;; has a new symbol shadowing the current one. (return-from operate (apply (find-symbol* 'operate :asdf) operation-class system args))) (perform-plan steps) (values op steps))))) (defun* oos (operation-class system &rest args &key force verbose version &allow-other-keys) (declare (ignore force verbose version)) (apply 'operate operation-class system args)) (let ((operate-docstring "Operate does three things: 1. It creates an instance of OPERATION-CLASS using any keyword parameters as initargs. 2. It finds the asdf-system specified by SYSTEM (possibly loading it from disk). 3. It then calls TRAVERSE with the operation and system as arguments The traverse operation is wrapped in WITH-COMPILATION-UNIT and error handling code. If a VERSION argument is supplied, then operate also ensures that the system found satisfies it using the VERSION-SATISFIES method. Note that dependencies may cause the operation to invoke other operations on the system or its components: the new operations will be created with the same initargs as the original one. ")) (setf (documentation 'oos 'function) (format nil "Short for _operate on system_ and an alias for the OPERATE function.~%~%~a" operate-docstring)) (setf (documentation 'operate 'function) operate-docstring)) (defun* load-system (system &rest args &key force verbose version &allow-other-keys) "Shorthand for `(operate 'asdf:load-op system)`. See OPERATE for details." (declare (ignore force verbose version)) (apply 'operate 'load-op system args) t) (defun* load-systems (&rest systems) (map () 'load-system systems)) (defun* compile-system (system &rest args &key force verbose version &allow-other-keys) "Shorthand for `(asdf:operate 'asdf:compile-op system)`. See OPERATE for details." (declare (ignore force verbose version)) (apply 'operate 'compile-op system args) t) (defun* test-system (system &rest args &key force verbose version &allow-other-keys) "Shorthand for `(asdf:operate 'asdf:test-op system)`. See OPERATE for details." (declare (ignore force verbose version)) (apply 'operate 'test-op system args) t) ;;;; ------------------------------------------------------------------------- ;;;; Defsystem (defun* load-pathname () (resolve-symlinks* (or *load-pathname* *compile-file-pathname*))) (defun* determine-system-pathname (pathname) ;; The defsystem macro calls us to determine ;; the pathname of a system as follows: ;; 1. the one supplied, ;; 2. derived from *load-pathname* via load-pathname ;; 3. taken from the *default-pathname-defaults* via default-directory (let* ((file-pathname (load-pathname)) (directory-pathname (and file-pathname (pathname-directory-pathname file-pathname)))) (or (and pathname (subpathname directory-pathname pathname :type :directory)) directory-pathname (default-directory)))) (defun* class-for-type (parent type) (or (loop :for symbol :in (list type (find-symbol* type *package*) (find-symbol* type :asdf)) :for class = (and symbol (find-class symbol nil)) :when (and class (#-cormanlisp subtypep #+cormanlisp cl::subclassp class (find-class 'component))) :return class) (and (eq type :file) (or (and parent (module-default-component-class parent)) (find-class *default-component-class*))) (sysdef-error "don't recognize component type ~A" type))) (defun* maybe-add-tree (tree op1 op2 c) "Add the node C at /OP1/OP2 in TREE, unless it's there already. Returns the new tree (which probably shares structure with the old one)" (let ((first-op-tree (assoc op1 tree))) (if first-op-tree (progn (aif (assoc op2 (cdr first-op-tree)) (if (find c (cdr it) :test #'equal) nil (setf (cdr it) (cons c (cdr it)))) (setf (cdr first-op-tree) (acons op2 (list c) (cdr first-op-tree)))) tree) (acons op1 (list (list op2 c)) tree)))) (defun* union-of-dependencies (&rest deps) (let ((new-tree nil)) (dolist (dep deps) (dolist (op-tree dep) (dolist (op (cdr op-tree)) (dolist (c (cdr op)) (setf new-tree (maybe-add-tree new-tree (car op-tree) (car op) c)))))) new-tree)) (defvar *serial-depends-on* nil) (defun* sysdef-error-component (msg type name value) (sysdef-error (strcat msg (compatfmt "~&~@")) type name value)) (defun* check-component-input (type name weakly-depends-on depends-on components in-order-to) "A partial test of the values of a component." (unless (listp depends-on) (sysdef-error-component ":depends-on must be a list." type name depends-on)) (unless (listp weakly-depends-on) (sysdef-error-component ":weakly-depends-on must be a list." type name weakly-depends-on)) (unless (listp components) (sysdef-error-component ":components must be NIL or a list of components." type name components)) (unless (and (listp in-order-to) (listp (car in-order-to))) (sysdef-error-component ":in-order-to must be NIL or a list of components." type name in-order-to))) (defun* %remove-component-inline-methods (component) (dolist (name +asdf-methods+) (map () ;; this is inefficient as most of the stored ;; methods will not be for this particular gf ;; But this is hardly performance-critical #'(lambda (m) (remove-method (symbol-function name) m)) (component-inline-methods component))) ;; clear methods, then add the new ones (setf (component-inline-methods component) nil)) (defun* %define-component-inline-methods (ret rest) (dolist (name +asdf-methods+) (let ((keyword (intern (symbol-name name) :keyword))) (loop :for data = rest :then (cddr data) :for key = (first data) :for value = (second data) :while data :when (eq key keyword) :do (destructuring-bind (op qual (o c) &body body) value (pushnew (eval `(defmethod ,name ,qual ((,o ,op) (,c (eql ,ret))) ,@body)) (component-inline-methods ret))))))) (defun* %refresh-component-inline-methods (component rest) (%remove-component-inline-methods component) (%define-component-inline-methods component rest)) (defun* parse-component-form (parent options) (destructuring-bind (type name &rest rest &key ;; the following list of keywords is reproduced below in the ;; remove-keys form. important to keep them in sync components pathname default-component-class perform explain output-files operation-done-p weakly-depends-on depends-on serial in-order-to do-first (version nil versionp) ;; list ends &allow-other-keys) options (declare (ignorable perform explain output-files operation-done-p)) (check-component-input type name weakly-depends-on depends-on components in-order-to) (when (and parent (find-component parent name) ;; ignore the same object when rereading the defsystem (not (typep (find-component parent name) (class-for-type parent type)))) (error 'duplicate-names :name name)) (when versionp (unless (parse-version version nil) (warn (compatfmt "~@") version name parent))) (let* ((args (list* :name (coerce-name name) :pathname pathname :parent parent (remove-keys '(components pathname default-component-class perform explain output-files operation-done-p weakly-depends-on depends-on serial in-order-to) rest))) (ret (find-component parent name))) (when weakly-depends-on (appendf depends-on (remove-if (complement #'(lambda (x) (find-system x nil))) weakly-depends-on))) (when *serial-depends-on* (push *serial-depends-on* depends-on)) (if ret ; preserve identity (apply 'reinitialize-instance ret args) (setf ret (apply 'make-instance (class-for-type parent type) args))) (component-pathname ret) ; eagerly compute the absolute pathname (when (typep ret 'module) (setf (module-default-component-class ret) (or default-component-class (and (typep parent 'module) (module-default-component-class parent)))) (let ((*serial-depends-on* nil)) (setf (module-components ret) (loop :for c-form :in components :for c = (parse-component-form ret c-form) :for name = (component-name c) :collect c :when serial :do (setf *serial-depends-on* name)))) (compute-module-components-by-name ret)) (setf (component-load-dependencies ret) depends-on) ;; Used by POIU (setf (component-in-order-to ret) (union-of-dependencies in-order-to `((compile-op (compile-op ,@depends-on)) (load-op (load-op ,@depends-on))))) (setf (component-do-first ret) (union-of-dependencies do-first `((compile-op (load-op ,@depends-on))))) (%refresh-component-inline-methods ret rest) ret))) (defun* reset-system (system &rest keys &key &allow-other-keys) (change-class (change-class system 'proto-system) 'system) (apply 'reinitialize-instance system keys)) (defun* do-defsystem (name &rest options &key pathname (class 'system) defsystem-depends-on &allow-other-keys) ;; The system must be registered before we parse the body, ;; otherwise we recur when trying to find an existing system ;; of the same name to reuse options (e.g. pathname) from. ;; To avoid infinite recursion in cases where you defsystem a system ;; that is registered to a different location to find-system, ;; we also need to remember it in a special variable *systems-being-defined*. (with-system-definitions () (let* ((name (coerce-name name)) (registered (system-registered-p name)) (registered! (if registered (rplaca registered (get-universal-time)) (register-system (make-instance 'system :name name)))) (system (reset-system (cdr registered!) :name name :source-file (load-pathname))) (component-options (remove-keys '(:class) options))) (setf (gethash name *systems-being-defined*) system) (apply 'load-systems defsystem-depends-on) ;; We change-class (when necessary) AFTER we load the defsystem-dep's ;; since the class might not be defined as part of those. (let ((class (class-for-type nil class))) (unless (eq (type-of system) class) (change-class system class))) (parse-component-form nil (list* :module name :pathname (determine-system-pathname pathname) component-options))))) (defmacro defsystem (name &body options) `(apply 'do-defsystem ',name ',options)) ;;;; --------------------------------------------------------------------------- ;;;; run-shell-command ;;;; ;;;; run-shell-command functions for other lisp implementations will be ;;;; gratefully accepted, if they do the same thing. ;;;; If the docstring is ambiguous, send a bug report. ;;;; ;;;; WARNING! The function below is mostly dysfunctional. ;;;; For instance, it will probably run fine on most implementations on Unix, ;;;; which will hopefully use the shell /bin/sh (which we force in some cases) ;;;; which is hopefully reasonably compatible with a POSIX *or* Bourne shell. ;;;; But behavior on Windows may vary wildly between implementations, ;;;; either relying on your having installed a POSIX sh, or going through ;;;; the CMD.EXE interpreter, for a totally different meaning, depending on ;;;; what is easily expressible in said implementation. ;;;; ;;;; We probably should move this functionality to its own system and deprecate ;;;; use of it from the asdf package. However, this would break unspecified ;;;; existing software, so until a clear alternative exists, we can't deprecate ;;;; it, and even after it's been deprecated, we will support it for a few ;;;; years so everyone has time to migrate away from it. -- fare 2009-12-01 ;;;; ;;;; As a suggested replacement which is portable to all ASDF-supported ;;;; implementations and operating systems except Genera, I recommend ;;;; xcvb-driver's xcvb-driver:run-program/process-output-stream and its ;;;; derivatives such as xcvb-driver:run-program/for-side-effects. (defun* run-shell-command (control-string &rest args) "Interpolate ARGS into CONTROL-STRING as if by FORMAT, and synchronously execute the result using a Bourne-compatible shell, with output to *VERBOSE-OUT*. Returns the shell's exit code." (let ((command (apply 'format nil control-string args))) (asdf-message "; $ ~A~%" command) #+abcl (ext:run-shell-command command :output *verbose-out*) #+allegro ;; will this fail if command has embedded quotes - it seems to work (multiple-value-bind (stdout stderr exit-code) (excl.osi:command-output #-mswindows (vector "/bin/sh" "/bin/sh" "-c" command) #+mswindows command ; BEWARE! :input nil :whole nil #+mswindows :show-window #+mswindows :hide) (asdf-message "~{~&~a~%~}~%" stderr) (asdf-message "~{~&~a~%~}~%" stdout) exit-code) #+clisp ;; CLISP returns NIL for exit status zero. (if *verbose-out* (let* ((new-command (format nil "( ~A ) ; r=$? ; echo ; echo ASDF-EXIT-STATUS $r" command)) (outstream (ext:run-shell-command new-command :output :stream :wait t))) (multiple-value-bind (retval out-lines) (unwind-protect (parse-clisp-shell-output outstream) (ignore-errors (close outstream))) (asdf-message "~{~&~a~%~}~%" out-lines) retval)) ;; there will be no output, just grab up the exit status (or (ext:run-shell-command command :output nil :wait t) 0)) #+clozure (nth-value 1 (ccl:external-process-status (ccl:run-program (cond ((os-unix-p) "/bin/sh") ((os-windows-p) (strcat "CMD /C " command)) ; BEWARE! (t (error "Unsupported OS"))) (if (os-unix-p) (list "-c" command) '()) :input nil :output *verbose-out* :wait t))) #+(or cmu scl) (ext:process-exit-code (ext:run-program "/bin/sh" (list "-c" command) :input nil :output *verbose-out*)) #+cormanlisp (win32:system command) #+ecl ;; courtesy of Juan Jose Garcia Ripoll (ext:system command) #+gcl (lisp:system command) #+lispworks (apply 'system:call-system-showing-output command :show-cmd nil :prefix "" :output-stream *verbose-out* (when (os-unix-p) '(:shell-type "/bin/sh"))) #+mcl (ccl::with-cstrs ((%command command)) (_system %command)) #+sbcl (sb-ext:process-exit-code (apply 'sb-ext:run-program #+win32 "sh" #-win32 "/bin/sh" (list "-c" command) :input nil :output *verbose-out* #+win32 '(:search t) #-win32 nil)) #+xcl (ext:run-shell-command command) #-(or abcl allegro clisp clozure cmu ecl gcl lispworks mcl sbcl scl xcl) (error "RUN-SHELL-COMMAND not implemented for this Lisp"))) #+clisp (defun* parse-clisp-shell-output (stream) "Helper function for running shell commands under clisp. Parses a specially- crafted output string to recover the exit status of the shell command and a list of lines of output." (loop :with status-prefix = "ASDF-EXIT-STATUS " :with prefix-length = (length status-prefix) :with exit-status = -1 :with lines = () :for line = (read-line stream nil nil) :while line :do (push line lines) :finally (let* ((last (car lines)) (status (and last (>= (length last) prefix-length) (string-equal last status-prefix :end1 prefix-length) (parse-integer last :start prefix-length :junk-allowed t)))) (when status (setf exit-status status) (pop lines) (when (equal "" (car lines)) (pop lines))) (return (values exit-status (reverse lines)))))) ;;;; --------------------------------------------------------------------------- ;;;; system-relative-pathname (defun* system-definition-pathname (x) ;; As of 2.014.8, we mean to make this function obsolete, ;; but that won't happen until all clients have been updated. ;;(cerror "Use ASDF:SYSTEM-SOURCE-FILE instead" "Function ASDF:SYSTEM-DEFINITION-PATHNAME is obsolete. It used to expose ASDF internals with subtle differences with respect to user expectations, that have been refactored away since. We recommend you use ASDF:SYSTEM-SOURCE-FILE instead for a mostly compatible replacement that we're supporting, or even ASDF:SYSTEM-SOURCE-DIRECTORY or ASDF:SYSTEM-RELATIVE-PATHNAME if that's whay you mean." ;;) (system-source-file x)) (defmethod system-source-file ((system system)) (%system-source-file system)) (defmethod system-source-file ((system-name string)) (%system-source-file (find-system system-name))) (defmethod system-source-file ((system-name symbol)) (%system-source-file (find-system system-name))) (defun* system-source-directory (system-designator) "Return a pathname object corresponding to the directory in which the system specification (.asd file) is located." (pathname-directory-pathname (system-source-file system-designator))) (defun* relativize-directory (directory) (cond ((stringp directory) (list :relative directory)) ((eq (car directory) :absolute) (cons :relative (cdr directory))) (t directory))) (defun* relativize-pathname-directory (pathspec) (let ((p (pathname pathspec))) (make-pathname :directory (relativize-directory (pathname-directory p)) :defaults p))) (defun* system-relative-pathname (system name &key type) (subpathname (system-source-directory system) name :type type)) ;;; --------------------------------------------------------------------------- ;;; implementation-identifier ;;; ;;; produce a string to identify current implementation. ;;; Initially stolen from SLIME's SWANK, rewritten since. ;;; We're back to runtime checking, for the sake of e.g. ABCL. (defun* first-feature (features) (dolist (x features) (multiple-value-bind (val feature) (if (consp x) (values (first x) (cons :or (rest x))) (values x x)) (when (featurep feature) (return val))))) (defun implementation-type () (first-feature '(:abcl (:acl :allegro) (:ccl :clozure) :clisp (:corman :cormanlisp) :cmu :ecl :gcl (:lw :lispworks) :mcl :sbcl :scl :symbolics :xcl))) (defun operating-system () (first-feature '(:cygwin (:win :windows :mswindows :win32 :mingw32) ;; try cygwin first! (:linux :linux :linux-target) ;; for GCL at least, must appear before :bsd (:macosx :macosx :darwin :darwin-target :apple) ; also before :bsd (:solaris :solaris :sunos) (:bsd :bsd :freebsd :netbsd :openbsd) :unix :genera))) (defun architecture () (first-feature '((:x64 :amd64 :x86-64 :x86_64 :x8664-target (:and :word-size=64 :pc386)) (:x86 :x86 :i386 :i486 :i586 :i686 :pentium3 :pentium4 :pc386 :iapx386 :x8632-target) (:ppc64 :ppc64 :ppc64-target) (:ppc32 :ppc32 :ppc32-target :ppc :powerpc) :hppa64 :hppa :sparc64 (:sparc32 :sparc32 :sparc) :mipsel :mipseb :mips :alpha (:arm :arm :arm-target) :imach ;; Java comes last: if someone uses C via CFFI or otherwise JNA or JNI, ;; we may have to segregate the code still by architecture. (:java :java :java-1.4 :java-1.5 :java-1.6 :java-1.7)))) #+clozure (defun* ccl-fasl-version () ;; the fasl version is target-dependent from CCL 1.8 on. (or (let ((s 'ccl::target-fasl-version)) (and (fboundp s) (funcall s))) (and (boundp 'ccl::fasl-version) (symbol-value 'ccl::fasl-version)) (error "Can't determine fasl version."))) (defun lisp-version-string () (let ((s (lisp-implementation-version))) (car ; as opposed to OR, this idiom prevents some unreachable code warning (list #+allegro (format nil "~A~A~@[~A~]" excl::*common-lisp-version-number* ;; ANSI vs MoDeRn - thanks to Robert Goldman and Charley Cox (if (eq excl:*current-case-mode* :case-sensitive-lower) "M" "A") ;; Note if not using International ACL ;; see http://www.franz.com/support/documentation/8.1/doc/operators/excl/ics-target-case.htm (excl:ics-target-case (:-ics "8"))) #+armedbear (format nil "~a-fasl~a" s system::*fasl-version*) #+clisp (subseq s 0 (position #\space s)) ; strip build information (date, etc.) #+clozure (format nil "~d.~d-f~d" ; shorten for windows ccl::*openmcl-major-version* ccl::*openmcl-minor-version* (logand (ccl-fasl-version) #xFF)) #+cmu (substitute #\- #\/ s) #+scl (format nil "~A~A" s ;; ANSI upper case vs lower case. (ecase ext:*case-mode* (:upper "") (:lower "l"))) #+ecl (format nil "~A~@[-~A~]" s (let ((vcs-id (ext:lisp-implementation-vcs-id))) (subseq vcs-id 0 (min (length vcs-id) 8)))) #+gcl (subseq s (1+ (position #\space s))) #+genera (multiple-value-bind (major minor) (sct:get-system-version "System") (format nil "~D.~D" major minor)) #+mcl (subseq s 8) ; strip the leading "Version " s)))) (defun* implementation-identifier () (substitute-if #\_ #'(lambda (x) (find x " /:;&^\\|?<>(){}[]$#`'\"")) (format nil "~(~a~@{~@[-~a~]~}~)" (or (implementation-type) (lisp-implementation-type)) (or (lisp-version-string) (lisp-implementation-version)) (or (operating-system) (software-type)) (or (architecture) (machine-type))))) (defun* hostname () ;; Note: untested on RMCL #+(or abcl clozure cmucl ecl genera lispworks mcl sbcl scl xcl) (machine-instance) #+cormanlisp "localhost" ;; is there a better way? Does it matter? #+allegro (excl.osi:gethostname) #+clisp (first (split-string (machine-instance) :separator " ")) #+gcl (system:gethostname)) ;;; --------------------------------------------------------------------------- ;;; Generic support for configuration files (defun inter-directory-separator () (if (os-unix-p) #\: #\;)) (defun* user-homedir () (truenamize (pathname-directory-pathname #+mcl (current-user-homedir-pathname) #-mcl (user-homedir-pathname)))) (defun* ensure-absolute-pathname* (x fmt &rest args) (and (plusp (length x)) (or (absolute-pathname-p x) (cerror "ignore relative pathname" "Invalid relative pathname ~A~@[ ~?~]" x fmt args)) x)) (defun* split-absolute-pathnames (x fmt &rest args) (loop :for dir :in (split-string x :separator (string (inter-directory-separator))) :do (apply 'ensure-absolute-pathname* dir fmt args) :collect dir)) (defun getenv-absolute-pathname (x &aux (s (getenv x))) (ensure-absolute-pathname* s "from (getenv ~S)" x)) (defun getenv-absolute-pathnames (x &aux (s (getenv x))) (and (plusp (length s)) (split-absolute-pathnames s "from (getenv ~S) = ~S" x s))) (defun* user-configuration-directories () (let ((dirs `(,@(when (os-unix-p) (cons (subpathname* (getenv-absolute-pathname "XDG_CONFIG_HOME") "common-lisp/") (loop :for dir :in (getenv-absolute-pathnames "XDG_CONFIG_DIRS") :collect (subpathname* dir "common-lisp/")))) ,@(when (os-windows-p) `(,(subpathname* (or #+lispworks (sys:get-folder-path :local-appdata) (getenv-absolute-pathname "LOCALAPPDATA")) "common-lisp/config/") ;; read-windows-registry HKEY_LOCAL_MACHINE\SOFTWARE\Microsoft\Windows\CurrentVersion\Explorer\User Shell Folders\AppData ,(subpathname* (or #+lispworks (sys:get-folder-path :appdata) (getenv-absolute-pathname "APPDATA")) "common-lisp/config/"))) ,(subpathname (user-homedir) ".config/common-lisp/")))) (remove-duplicates (remove-if-not #'absolute-pathname-p dirs) :from-end t :test 'equal))) (defun* system-configuration-directories () (cond ((os-unix-p) '(#p"/etc/common-lisp/")) ((os-windows-p) (aif ;; read-windows-registry HKEY_LOCAL_MACHINE\SOFTWARE\Microsoft\Windows\CurrentVersion\Explorer\User Shell Folders\Common AppData (subpathname* (or #+lispworks (sys:get-folder-path :common-appdata) (getenv-absolute-pathname "ALLUSERSAPPDATA") (subpathname* (getenv-absolute-pathname "ALLUSERSPROFILE") "Application Data/")) "common-lisp/config/") (list it))))) (defun* in-first-directory (dirs x &key (direction :input)) (loop :with fun = (ecase direction ((nil :input :probe) 'probe-file*) ((:output :io) 'identity)) :for dir :in dirs :thereis (and dir (funcall fun (merge-pathnames* x (ensure-directory-pathname dir)))))) (defun* in-user-configuration-directory (x &key (direction :input)) (in-first-directory (user-configuration-directories) x :direction direction)) (defun* in-system-configuration-directory (x &key (direction :input)) (in-first-directory (system-configuration-directories) x :direction direction)) (defun* configuration-inheritance-directive-p (x) (let ((kw '(:inherit-configuration :ignore-inherited-configuration))) (or (member x kw) (and (length=n-p x 1) (member (car x) kw))))) (defun* report-invalid-form (reporter &rest args) (etypecase reporter (null (apply 'error 'invalid-configuration args)) (function (apply reporter args)) ((or symbol string) (apply 'error reporter args)) (cons (apply 'apply (append reporter args))))) (defvar *ignored-configuration-form* nil) (defun* validate-configuration-form (form tag directive-validator &key location invalid-form-reporter) (unless (and (consp form) (eq (car form) tag)) (setf *ignored-configuration-form* t) (report-invalid-form invalid-form-reporter :form form :location location) (return-from validate-configuration-form nil)) (loop :with inherit = 0 :with ignore-invalid-p = nil :with x = (list tag) :for directive :in (cdr form) :when (cond ((configuration-inheritance-directive-p directive) (incf inherit) t) ((eq directive :ignore-invalid-entries) (setf ignore-invalid-p t) t) ((funcall directive-validator directive) t) (ignore-invalid-p nil) (t (setf *ignored-configuration-form* t) (report-invalid-form invalid-form-reporter :form directive :location location) nil)) :do (push directive x) :finally (unless (= inherit 1) (report-invalid-form invalid-form-reporter :arguments (list (compatfmt "~@") :inherit-configuration :ignore-inherited-configuration))) (return (nreverse x)))) (defun* validate-configuration-file (file validator &key description) (let ((forms (read-file-forms file))) (unless (length=n-p forms 1) (error (compatfmt "~@~%") description forms)) (funcall validator (car forms) :location file))) (defun* hidden-file-p (pathname) (equal (first-char (pathname-name pathname)) #\.)) (defun* directory* (pathname-spec &rest keys &key &allow-other-keys) (apply 'directory pathname-spec (append keys '#.(or #+allegro '(:directories-are-files nil :follow-symbolic-links nil) #+clozure '(:follow-links nil) #+clisp '(:circle t :if-does-not-exist :ignore) #+(or cmu scl) '(:follow-links nil :truenamep nil) #+sbcl (when (find-symbol* :resolve-symlinks '#:sb-impl) '(:resolve-symlinks nil)))))) (defun* validate-configuration-directory (directory tag validator &key invalid-form-reporter) "Map the VALIDATOR across the .conf files in DIRECTORY, the TAG will be applied to the results to yield a configuration form. Current values of TAG include :source-registry and :output-translations." (let ((files (sort (ignore-errors (remove-if 'hidden-file-p (directory* (make-pathname :name :wild :type "conf" :defaults directory)))) #'string< :key #'namestring))) `(,tag ,@(loop :for file :in files :append (loop :with ignore-invalid-p = nil :for form :in (read-file-forms file) :when (eq form :ignore-invalid-entries) :do (setf ignore-invalid-p t) :else :when (funcall validator form) :collect form :else :when ignore-invalid-p :do (setf *ignored-configuration-form* t) :else :do (report-invalid-form invalid-form-reporter :form form :location file))) :inherit-configuration))) ;;; --------------------------------------------------------------------------- ;;; asdf-output-translations ;;; ;;; this code is heavily inspired from ;;; asdf-binary-translations, common-lisp-controller and cl-launch. ;;; --------------------------------------------------------------------------- (defvar *output-translations* () "Either NIL (for uninitialized), or a list of one element, said element itself being a sorted list of mappings. Each mapping is a pair of a source pathname and destination pathname, and the order is by decreasing length of namestring of the source pathname.") (defvar *user-cache* (flet ((try (x &rest sub) (and x `(,x ,@sub)))) (or (try (getenv-absolute-pathname "XDG_CACHE_HOME") "common-lisp" :implementation) (when (os-windows-p) (try (or #+lispworks (sys:get-folder-path :local-appdata) (getenv-absolute-pathname "LOCALAPPDATA") #+lispworks (sys:get-folder-path :appdata) (getenv-absolute-pathname "APPDATA")) "common-lisp" "cache" :implementation)) '(:home ".cache" "common-lisp" :implementation)))) (defun* output-translations () (car *output-translations*)) (defun* (setf output-translations) (new-value) (setf *output-translations* (list (stable-sort (copy-list new-value) #'> :key #'(lambda (x) (etypecase (car x) ((eql t) -1) (pathname (let ((directory (pathname-directory (car x)))) (if (listp directory) (length directory) 0)))))))) new-value) (defun* output-translations-initialized-p () (and *output-translations* t)) (defun* clear-output-translations () "Undoes any initialization of the output translations. You might want to call that before you dump an image that would be resumed with a different configuration, so the configuration would be re-read then." (setf *output-translations* '()) (values)) (declaim (ftype (function (t &key (:directory boolean) (:wilden boolean)) (values (or null pathname) &optional)) resolve-location)) (defun* resolve-relative-location-component (x &key directory wilden) (let ((r (etypecase x (pathname x) (string (coerce-pathname x :type (when directory :directory))) (cons (if (null (cdr x)) (resolve-relative-location-component (car x) :directory directory :wilden wilden) (let* ((car (resolve-relative-location-component (car x) :directory t :wilden nil))) (merge-pathnames* (resolve-relative-location-component (cdr x) :directory directory :wilden wilden) car)))) ((eql :default-directory) (relativize-pathname-directory (default-directory))) ((eql :*/) *wild-directory*) ((eql :**/) *wild-inferiors*) ((eql :*.*.*) *wild-file*) ((eql :implementation) (coerce-pathname (implementation-identifier) :type :directory)) ((eql :implementation-type) (coerce-pathname (string-downcase (implementation-type)) :type :directory)) ((eql :hostname) (coerce-pathname (hostname) :type :directory))))) (when (absolute-pathname-p r) (error (compatfmt "~@") x)) (if (or (pathnamep x) (not wilden)) r (wilden r)))) (defvar *here-directory* nil "This special variable is bound to the currect directory during calls to PROCESS-SOURCE-REGISTRY in order that we be able to interpret the :here directive.") (defun* resolve-absolute-location-component (x &key directory wilden) (let* ((r (etypecase x (pathname x) (string (let ((p (#+mcl probe-posix #-mcl parse-namestring x))) #+mcl (unless p (error "POSIX pathname ~S does not exist" x)) (if directory (ensure-directory-pathname p) p))) (cons (return-from resolve-absolute-location-component (if (null (cdr x)) (resolve-absolute-location-component (car x) :directory directory :wilden wilden) (merge-pathnames* (resolve-relative-location-component (cdr x) :directory directory :wilden wilden) (resolve-absolute-location-component (car x) :directory t :wilden nil))))) ((eql :root) ;; special magic! we encode such paths as relative pathnames, ;; but it means "relative to the root of the source pathname's host and device". (return-from resolve-absolute-location-component (let ((p (make-pathname :directory '(:relative)))) (if wilden (wilden p) p)))) ((eql :home) (user-homedir)) ((eql :here) (resolve-location (or *here-directory* ;; give semantics in the case of use interactively :default-directory) :directory t :wilden nil)) ((eql :user-cache) (resolve-location *user-cache* :directory t :wilden nil)) ((eql :system-cache) (error "Using the :system-cache is deprecated. ~%~ Please remove it from your ASDF configuration")) ((eql :default-directory) (default-directory)))) (s (if (and wilden (not (pathnamep x))) (wilden r) r))) (unless (absolute-pathname-p s) (error (compatfmt "~@") x)) s)) (defun* resolve-location (x &key directory wilden) (if (atom x) (resolve-absolute-location-component x :directory directory :wilden wilden) (loop :with path = (resolve-absolute-location-component (car x) :directory (and (or directory (cdr x)) t) :wilden (and wilden (null (cdr x)))) :for (component . morep) :on (cdr x) :for dir = (and (or morep directory) t) :for wild = (and wilden (not morep)) :do (setf path (merge-pathnames* (resolve-relative-location-component component :directory dir :wilden wild) path)) :finally (return path)))) (defun* location-designator-p (x) (flet ((absolute-component-p (c) (typep c '(or string pathname (member :root :home :here :user-cache :system-cache :default-directory)))) (relative-component-p (c) (typep c '(or string pathname (member :default-directory :*/ :**/ :*.*.* :implementation :implementation-type))))) (or (typep x 'boolean) (absolute-component-p x) (and (consp x) (absolute-component-p (first x)) (every #'relative-component-p (rest x)))))) (defun* location-function-p (x) (and (length=n-p x 2) (eq (car x) :function) (or (symbolp (cadr x)) (and (consp (cadr x)) (eq (caadr x) 'lambda) (length=n-p (cadadr x) 2))))) (defun* validate-output-translations-directive (directive) (or (member directive '(:enable-user-cache :disable-cache nil)) (and (consp directive) (or (and (length=n-p directive 2) (or (and (eq (first directive) :include) (typep (second directive) '(or string pathname null))) (and (location-designator-p (first directive)) (or (location-designator-p (second directive)) (location-function-p (second directive)))))) (and (length=n-p directive 1) (location-designator-p (first directive))))))) (defun* validate-output-translations-form (form &key location) (validate-configuration-form form :output-translations 'validate-output-translations-directive :location location :invalid-form-reporter 'invalid-output-translation)) (defun* validate-output-translations-file (file) (validate-configuration-file file 'validate-output-translations-form :description "output translations")) (defun* validate-output-translations-directory (directory) (validate-configuration-directory directory :output-translations 'validate-output-translations-directive :invalid-form-reporter 'invalid-output-translation)) (defun* parse-output-translations-string (string &key location) (cond ((or (null string) (equal string "")) '(:output-translations :inherit-configuration)) ((not (stringp string)) (error (compatfmt "~@") string)) ((eql (char string 0) #\") (parse-output-translations-string (read-from-string string) :location location)) ((eql (char string 0) #\() (validate-output-translations-form (read-from-string string) :location location)) (t (loop :with inherit = nil :with directives = () :with start = 0 :with end = (length string) :with source = nil :with separator = (inter-directory-separator) :for i = (or (position separator string :start start) end) :do (let ((s (subseq string start i))) (cond (source (push (list source (if (equal "" s) nil s)) directives) (setf source nil)) ((equal "" s) (when inherit (error (compatfmt "~@") string)) (setf inherit t) (push :inherit-configuration directives)) (t (setf source s))) (setf start (1+ i)) (when (> start end) (when source (error (compatfmt "~@") string)) (unless inherit (push :ignore-inherited-configuration directives)) (return `(:output-translations ,@(nreverse directives))))))))) (defparameter *default-output-translations* '(environment-output-translations user-output-translations-pathname user-output-translations-directory-pathname system-output-translations-pathname system-output-translations-directory-pathname)) (defun* wrapping-output-translations () `(:output-translations ;; Some implementations have precompiled ASDF systems, ;; so we must disable translations for implementation paths. #+sbcl ,(let ((h (getenv "SBCL_HOME"))) (when (plusp (length h)) `((,(truenamize h) ,*wild-inferiors*) ()))) ;; The below two are not needed: no precompiled ASDF system there ;; #+ecl (,(translate-logical-pathname "SYS:**;*.*") ()) ;; #+clozure ,(ignore-errors (list (wilden (let ((*default-pathname-defaults* #p"")) (truename #p"ccl:"))) ())) ;; All-import, here is where we want user stuff to be: :inherit-configuration ;; These are for convenience, and can be overridden by the user: #+abcl (#p"/___jar___file___root___/**/*.*" (:user-cache #p"**/*.*")) #+abcl (#p"jar:file:/**/*.jar!/**/*.*" (:function translate-jar-pathname)) ;; We enable the user cache by default, and here is the place we do: :enable-user-cache)) (defparameter *output-translations-file* (coerce-pathname "asdf-output-translations.conf")) (defparameter *output-translations-directory* (coerce-pathname "asdf-output-translations.conf.d/")) (defun* user-output-translations-pathname (&key (direction :input)) (in-user-configuration-directory *output-translations-file* :direction direction)) (defun* system-output-translations-pathname (&key (direction :input)) (in-system-configuration-directory *output-translations-file* :direction direction)) (defun* user-output-translations-directory-pathname (&key (direction :input)) (in-user-configuration-directory *output-translations-directory* :direction direction)) (defun* system-output-translations-directory-pathname (&key (direction :input)) (in-system-configuration-directory *output-translations-directory* :direction direction)) (defun* environment-output-translations () (getenv "ASDF_OUTPUT_TRANSLATIONS")) (defgeneric* process-output-translations (spec &key inherit collect)) (declaim (ftype (function (t &key (:collect (or symbol function))) t) inherit-output-translations)) (declaim (ftype (function (t &key (:collect (or symbol function)) (:inherit list)) t) process-output-translations-directive)) (defmethod process-output-translations ((x symbol) &key (inherit *default-output-translations*) collect) (process-output-translations (funcall x) :inherit inherit :collect collect)) (defmethod process-output-translations ((pathname pathname) &key inherit collect) (cond ((directory-pathname-p pathname) (process-output-translations (validate-output-translations-directory pathname) :inherit inherit :collect collect)) ((probe-file* pathname) (process-output-translations (validate-output-translations-file pathname) :inherit inherit :collect collect)) (t (inherit-output-translations inherit :collect collect)))) (defmethod process-output-translations ((string string) &key inherit collect) (process-output-translations (parse-output-translations-string string) :inherit inherit :collect collect)) (defmethod process-output-translations ((x null) &key inherit collect) (declare (ignorable x)) (inherit-output-translations inherit :collect collect)) (defmethod process-output-translations ((form cons) &key inherit collect) (dolist (directive (cdr (validate-output-translations-form form))) (process-output-translations-directive directive :inherit inherit :collect collect))) (defun* inherit-output-translations (inherit &key collect) (when inherit (process-output-translations (first inherit) :collect collect :inherit (rest inherit)))) (defun* process-output-translations-directive (directive &key inherit collect) (if (atom directive) (ecase directive ((:enable-user-cache) (process-output-translations-directive '(t :user-cache) :collect collect)) ((:disable-cache) (process-output-translations-directive '(t t) :collect collect)) ((:inherit-configuration) (inherit-output-translations inherit :collect collect)) ((:ignore-inherited-configuration :ignore-invalid-entries nil) nil)) (let ((src (first directive)) (dst (second directive))) (if (eq src :include) (when dst (process-output-translations (pathname dst) :inherit nil :collect collect)) (when src (let ((trusrc (or (eql src t) (let ((loc (resolve-location src :directory t :wilden t))) (if (absolute-pathname-p loc) (truenamize loc) loc))))) (cond ((location-function-p dst) (funcall collect (list trusrc (if (symbolp (second dst)) (fdefinition (second dst)) (eval (second dst)))))) ((eq dst t) (funcall collect (list trusrc t))) (t (let* ((trudst (if dst (resolve-location dst :directory t :wilden t) trusrc)) (wilddst (merge-pathnames* *wild-file* trudst))) (funcall collect (list wilddst t)) (funcall collect (list trusrc trudst))))))))))) (defun* compute-output-translations (&optional parameter) "read the configuration, return it" (remove-duplicates (while-collecting (c) (inherit-output-translations `(wrapping-output-translations ,parameter ,@*default-output-translations*) :collect #'c)) :test 'equal :from-end t)) (defvar *output-translations-parameter* nil) (defun* initialize-output-translations (&optional (parameter *output-translations-parameter*)) "read the configuration, initialize the internal configuration variable, return the configuration" (setf *output-translations-parameter* parameter (output-translations) (compute-output-translations parameter))) (defun* disable-output-translations () "Initialize output translations in a way that maps every file to itself, effectively disabling the output translation facility." (initialize-output-translations '(:output-translations :disable-cache :ignore-inherited-configuration))) ;; checks an initial variable to see whether the state is initialized ;; or cleared. In the former case, return current configuration; in ;; the latter, initialize. ASDF will call this function at the start ;; of (asdf:find-system). (defun* ensure-output-translations () (if (output-translations-initialized-p) (output-translations) (initialize-output-translations))) (defun* translate-pathname* (path absolute-source destination &optional root source) (declare (ignore source)) (cond ((functionp destination) (funcall destination path absolute-source)) ((eq destination t) path) ((not (pathnamep destination)) (error "Invalid destination")) ((not (absolute-pathname-p destination)) (translate-pathname path absolute-source (merge-pathnames* destination root))) (root (translate-pathname (directorize-pathname-host-device path) absolute-source destination)) (t (translate-pathname path absolute-source destination)))) (defun* apply-output-translations (path) #+cormanlisp (truenamize path) #-cormanlisp (etypecase path (logical-pathname path) ((or pathname string) (ensure-output-translations) (loop :with p = (truenamize path) :for (source destination) :in (car *output-translations*) :for root = (when (or (eq source t) (and (pathnamep source) (not (absolute-pathname-p source)))) (pathname-root p)) :for absolute-source = (cond ((eq source t) (wilden root)) (root (merge-pathnames* source root)) (t source)) :when (or (eq source t) (pathname-match-p p absolute-source)) :return (translate-pathname* p absolute-source destination root source) :finally (return p))))) (defmethod output-files :around (operation component) "Translate output files, unless asked not to" operation component ;; hush genera, not convinced by declare ignorable(!) (values (multiple-value-bind (files fixedp) (call-next-method) (if fixedp files (mapcar #'apply-output-translations files))) t)) (defun* compile-file-pathname* (input-file &rest keys &key output-file &allow-other-keys) (if (absolute-pathname-p output-file) ;; what cfp should be doing, w/ mp* instead of mp (let* ((type (pathname-type (apply 'compile-file-pathname "x.lisp" keys))) (defaults (make-pathname :type type :defaults (merge-pathnames* input-file)))) (merge-pathnames* output-file defaults)) (apply-output-translations (apply 'compile-file-pathname input-file keys)))) (defun* tmpize-pathname (x) (make-pathname :name (strcat "ASDF-TMP-" (pathname-name x)) :defaults x)) (defun* delete-file-if-exists (x) (when (and x (probe-file* x)) (delete-file x))) (defun* compile-file* (input-file &rest keys &key output-file &allow-other-keys) (let* ((output-file (apply 'compile-file-pathname* input-file :output-file output-file keys)) (tmp-file (tmpize-pathname output-file)) (status :error)) (multiple-value-bind (output-truename warnings-p failure-p) (apply 'compile-file input-file :output-file tmp-file keys) (cond (failure-p (setf status *compile-file-failure-behaviour*)) (warnings-p (setf status *compile-file-warnings-behaviour*)) (t (setf status :success))) (ecase status ((:success :warn :ignore) (delete-file-if-exists output-file) (when output-truename (rename-file output-truename output-file) (setf output-truename output-file))) (:error (delete-file-if-exists output-truename) (setf output-truename nil))) (values output-truename warnings-p failure-p)))) #+abcl (defun* translate-jar-pathname (source wildcard) (declare (ignore wildcard)) (let* ((p (pathname (first (pathname-device source)))) (root (format nil "/___jar___file___root___/~@[~A/~]" (and (find :windows *features*) (pathname-device p))))) (apply-output-translations (merge-pathnames* (relativize-pathname-directory source) (merge-pathnames* (relativize-pathname-directory (ensure-directory-pathname p)) root))))) ;;;; ----------------------------------------------------------------- ;;;; Compatibility mode for ASDF-Binary-Locations (defmethod operate :before (operation-class system &rest args &key &allow-other-keys) (declare (ignorable operation-class system args)) (when (find-symbol* '#:output-files-for-system-and-operation :asdf) (error "ASDF 2 is not compatible with ASDF-BINARY-LOCATIONS, which you are using. ASDF 2 now achieves the same purpose with its builtin ASDF-OUTPUT-TRANSLATIONS, which should be easier to configure. Please stop using ASDF-BINARY-LOCATIONS, and instead use ASDF-OUTPUT-TRANSLATIONS. See the ASDF manual for details. In case you insist on preserving your previous A-B-L configuration, but do not know how to achieve the same effect with A-O-T, you may use function ASDF:ENABLE-ASDF-BINARY-LOCATIONS-COMPATIBILITY as documented in the manual; call that function where you would otherwise have loaded and configured A-B-L."))) (defun* enable-asdf-binary-locations-compatibility (&key (centralize-lisp-binaries nil) (default-toplevel-directory (subpathname (user-homedir) ".fasls/")) ;; Use ".cache/common-lisp/" instead ??? (include-per-user-information nil) (map-all-source-files (or #+(or ecl clisp) t nil)) (source-to-target-mappings nil)) #+(or ecl clisp) (when (null map-all-source-files) (error "asdf:enable-asdf-binary-locations-compatibility doesn't support :map-all-source-files nil on ECL and CLISP")) (let* ((fasl-type (pathname-type (compile-file-pathname "foo.lisp"))) (mapped-files (if map-all-source-files *wild-file* (make-pathname :type fasl-type :defaults *wild-file*))) (destination-directory (if centralize-lisp-binaries `(,default-toplevel-directory ,@(when include-per-user-information (cdr (pathname-directory (user-homedir)))) :implementation ,*wild-inferiors*) `(:root ,*wild-inferiors* :implementation)))) (initialize-output-translations `(:output-translations ,@source-to-target-mappings ((:root ,*wild-inferiors* ,mapped-files) (,@destination-directory ,mapped-files)) (t t) :ignore-inherited-configuration)))) ;;;; ----------------------------------------------------------------- ;;;; Source Registry Configuration, by Francois-Rene Rideau ;;;; See the Manual and https://bugs.launchpad.net/asdf/+bug/485918 ;; Using ack 1.2 exclusions (defvar *default-source-registry-exclusions* '(".bzr" ".cdv" ;; "~.dep" "~.dot" "~.nib" "~.plst" ; we don't support ack wildcards ".git" ".hg" ".pc" ".svn" "CVS" "RCS" "SCCS" "_darcs" "_sgbak" "autom4te.cache" "cover_db" "_build" "debian")) ;; debian often builds stuff under the debian directory... BAD. (defvar *source-registry-exclusions* *default-source-registry-exclusions*) (defvar *source-registry* nil "Either NIL (for uninitialized), or an equal hash-table, mapping system names to pathnames of .asd files") (defun* source-registry-initialized-p () (typep *source-registry* 'hash-table)) (defun* clear-source-registry () "Undoes any initialization of the source registry. You might want to call that before you dump an image that would be resumed with a different configuration, so the configuration would be re-read then." (setf *source-registry* nil) (values)) (defparameter *wild-asd* (make-pathname :directory nil :name *wild* :type "asd" :version :newest)) (defun* filter-logical-directory-results (directory entries merger) (if (typep directory 'logical-pathname) ;; Try hard to not resolve logical-pathname into physical pathnames; ;; otherwise logical-pathname users/lovers will be disappointed. ;; If directory* could use some implementation-dependent magic, ;; we will have logical pathnames already; otherwise, ;; we only keep pathnames for which specifying the name and ;; translating the LPN commute. (loop :for f :in entries :for p = (or (and (typep f 'logical-pathname) f) (let* ((u (ignore-errors (funcall merger f)))) ;; The first u avoids a cumbersome (truename u) error. ;; At this point f should already be a truename, ;; but isn't quite in CLISP, for doesn't have :version :newest (and u (equal (ignore-errors (truename u)) (truename f)) u))) :when p :collect p) entries)) (defun* directory-files (directory &optional (pattern *wild-file*)) (setf directory (pathname directory)) (when (wild-pathname-p directory) (error "Invalid wild in ~S" directory)) (unless (member (pathname-directory pattern) '(() (:relative)) :test 'equal) (error "Invalid file pattern ~S" pattern)) (when (typep directory 'logical-pathname) (setf pattern (make-pathname-logical pattern (pathname-host directory)))) (let ((entries (ignore-errors (directory* (merge-pathnames* pattern directory))))) (filter-logical-directory-results directory entries #'(lambda (f) (make-pathname :defaults directory :name (pathname-name f) :type (make-pathname-component-logical (pathname-type f)) :version (make-pathname-component-logical (pathname-version f))))))) (defun* directory-asd-files (directory) (directory-files directory *wild-asd*)) (defun* subdirectories (directory) (let* ((directory (ensure-directory-pathname directory)) #-(or abcl cormanlisp genera xcl) (wild (merge-pathnames* #-(or abcl allegro cmu lispworks sbcl scl xcl) *wild-directory* #+(or abcl allegro cmu lispworks sbcl scl xcl) "*.*" directory)) (dirs #-(or abcl cormanlisp genera xcl) (ignore-errors (directory* wild . #.(or #+clozure '(:directories t :files nil) #+mcl '(:directories t)))) #+(or abcl xcl) (system:list-directory directory) #+cormanlisp (cl::directory-subdirs directory) #+genera (fs:directory-list directory)) #+(or abcl allegro cmu genera lispworks sbcl scl xcl) (dirs (loop :for x :in dirs :for d = #+(or abcl xcl) (extensions:probe-directory x) #+allegro (excl:probe-directory x) #+(or cmu sbcl scl) (directory-pathname-p x) #+genera (getf (cdr x) :directory) #+lispworks (lw:file-directory-p x) :when d :collect #+(or abcl allegro xcl) d #+genera (ensure-directory-pathname (first x)) #+(or cmu lispworks sbcl scl) x))) (filter-logical-directory-results directory dirs (let ((prefix (or (normalize-pathname-directory-component (pathname-directory directory)) '(:absolute)))) ; because allegro returns NIL for #p"FOO:" #'(lambda (d) (let ((dir (normalize-pathname-directory-component (pathname-directory d)))) (and (consp dir) (consp (cdr dir)) (make-pathname :defaults directory :name nil :type nil :version nil :directory (append prefix (make-pathname-component-logical (last dir))))))))))) (defun* collect-asds-in-directory (directory collect) (map () collect (directory-asd-files directory))) (defun* collect-sub*directories (directory collectp recursep collector) (when (funcall collectp directory) (funcall collector directory)) (dolist (subdir (subdirectories directory)) (when (funcall recursep subdir) (collect-sub*directories subdir collectp recursep collector)))) (defun* collect-sub*directories-asd-files (directory &key (exclude *default-source-registry-exclusions*) collect) (collect-sub*directories directory (constantly t) #'(lambda (x) (not (member (car (last (pathname-directory x))) exclude :test #'equal))) #'(lambda (dir) (collect-asds-in-directory dir collect)))) (defun* validate-source-registry-directive (directive) (or (member directive '(:default-registry)) (and (consp directive) (let ((rest (rest directive))) (case (first directive) ((:include :directory :tree) (and (length=n-p rest 1) (location-designator-p (first rest)))) ((:exclude :also-exclude) (every #'stringp rest)) ((:default-registry) (null rest))))))) (defun* validate-source-registry-form (form &key location) (validate-configuration-form form :source-registry 'validate-source-registry-directive :location location :invalid-form-reporter 'invalid-source-registry)) (defun* validate-source-registry-file (file) (validate-configuration-file file 'validate-source-registry-form :description "a source registry")) (defun* validate-source-registry-directory (directory) (validate-configuration-directory directory :source-registry 'validate-source-registry-directive :invalid-form-reporter 'invalid-source-registry)) (defun* parse-source-registry-string (string &key location) (cond ((or (null string) (equal string "")) '(:source-registry :inherit-configuration)) ((not (stringp string)) (error (compatfmt "~@") string)) ((find (char string 0) "\"(") (validate-source-registry-form (read-from-string string) :location location)) (t (loop :with inherit = nil :with directives = () :with start = 0 :with end = (length string) :with separator = (inter-directory-separator) :for pos = (position separator string :start start) :do (let ((s (subseq string start (or pos end)))) (flet ((check (dir) (unless (absolute-pathname-p dir) (error (compatfmt "~@") string)) dir)) (cond ((equal "" s) ; empty element: inherit (when inherit (error (compatfmt "~@") string)) (setf inherit t) (push ':inherit-configuration directives)) ((ends-with s "//") ;; TODO: allow for doubling of separator even outside Unix? (push `(:tree ,(check (subseq s 0 (- (length s) 2)))) directives)) (t (push `(:directory ,(check s)) directives)))) (cond (pos (setf start (1+ pos))) (t (unless inherit (push '(:ignore-inherited-configuration) directives)) (return `(:source-registry ,@(nreverse directives)))))))))) (defun* register-asd-directory (directory &key recurse exclude collect) (if (not recurse) (collect-asds-in-directory directory collect) (collect-sub*directories-asd-files directory :exclude exclude :collect collect))) (defparameter *default-source-registries* '(environment-source-registry user-source-registry user-source-registry-directory system-source-registry system-source-registry-directory default-source-registry)) (defparameter *source-registry-file* (coerce-pathname "source-registry.conf")) (defparameter *source-registry-directory* (coerce-pathname "source-registry.conf.d/")) (defun* wrapping-source-registry () `(:source-registry #+sbcl (:tree ,(truenamize (getenv "SBCL_HOME"))) :inherit-configuration #+cmu (:tree #p"modules:") #+scl (:tree #p"file://modules/"))) (defun* default-source-registry () `(:source-registry #+sbcl (:directory ,(subpathname (user-homedir) ".sbcl/systems/")) (:directory ,(default-directory)) ,@(loop :for dir :in `(,@(when (os-unix-p) `(,(or (getenv-absolute-pathname "XDG_DATA_HOME") (subpathname (user-homedir) ".local/share/")) ,@(or (getenv-absolute-pathnames "XDG_DATA_DIRS") '("/usr/local/share" "/usr/share")))) ,@(when (os-windows-p) `(,(or #+lispworks (sys:get-folder-path :local-appdata) (getenv-absolute-pathname "LOCALAPPDATA")) ,(or #+lispworks (sys:get-folder-path :appdata) (getenv-absolute-pathname "APPDATA")) ,(or #+lispworks (sys:get-folder-path :common-appdata) (getenv-absolute-pathname "ALLUSERSAPPDATA") (subpathname* (getenv-absolute-pathname "ALLUSERSPROFILE") "Application Data/"))))) :collect `(:directory ,(subpathname* dir "common-lisp/systems/")) :collect `(:tree ,(subpathname* dir "common-lisp/source/"))) :inherit-configuration)) (defun* user-source-registry (&key (direction :input)) (in-user-configuration-directory *source-registry-file* :direction direction)) (defun* system-source-registry (&key (direction :input)) (in-system-configuration-directory *source-registry-file* :direction direction)) (defun* user-source-registry-directory (&key (direction :input)) (in-user-configuration-directory *source-registry-directory* :direction direction)) (defun* system-source-registry-directory (&key (direction :input)) (in-system-configuration-directory *source-registry-directory* :direction direction)) (defun* environment-source-registry () (getenv "CL_SOURCE_REGISTRY")) (defgeneric* process-source-registry (spec &key inherit register)) (declaim (ftype (function (t &key (:register (or symbol function))) t) inherit-source-registry)) (declaim (ftype (function (t &key (:register (or symbol function)) (:inherit list)) t) process-source-registry-directive)) (defmethod process-source-registry ((x symbol) &key inherit register) (process-source-registry (funcall x) :inherit inherit :register register)) (defmethod process-source-registry ((pathname pathname) &key inherit register) (cond ((directory-pathname-p pathname) (let ((*here-directory* (truenamize pathname))) (process-source-registry (validate-source-registry-directory pathname) :inherit inherit :register register))) ((probe-file* pathname) (let ((*here-directory* (pathname-directory-pathname pathname))) (process-source-registry (validate-source-registry-file pathname) :inherit inherit :register register))) (t (inherit-source-registry inherit :register register)))) (defmethod process-source-registry ((string string) &key inherit register) (process-source-registry (parse-source-registry-string string) :inherit inherit :register register)) (defmethod process-source-registry ((x null) &key inherit register) (declare (ignorable x)) (inherit-source-registry inherit :register register)) (defmethod process-source-registry ((form cons) &key inherit register) (let ((*source-registry-exclusions* *default-source-registry-exclusions*)) (dolist (directive (cdr (validate-source-registry-form form))) (process-source-registry-directive directive :inherit inherit :register register)))) (defun* inherit-source-registry (inherit &key register) (when inherit (process-source-registry (first inherit) :register register :inherit (rest inherit)))) (defun* process-source-registry-directive (directive &key inherit register) (destructuring-bind (kw &rest rest) (if (consp directive) directive (list directive)) (ecase kw ((:include) (destructuring-bind (pathname) rest (process-source-registry (resolve-location pathname) :inherit nil :register register))) ((:directory) (destructuring-bind (pathname) rest (when pathname (funcall register (resolve-location pathname :directory t))))) ((:tree) (destructuring-bind (pathname) rest (when pathname (funcall register (resolve-location pathname :directory t) :recurse t :exclude *source-registry-exclusions*)))) ((:exclude) (setf *source-registry-exclusions* rest)) ((:also-exclude) (appendf *source-registry-exclusions* rest)) ((:default-registry) (inherit-source-registry '(default-source-registry) :register register)) ((:inherit-configuration) (inherit-source-registry inherit :register register)) ((:ignore-inherited-configuration) nil))) nil) (defun* flatten-source-registry (&optional parameter) (remove-duplicates (while-collecting (collect) (let ((*default-pathname-defaults* (default-directory))) (inherit-source-registry `(wrapping-source-registry ,parameter ,@*default-source-registries*) :register #'(lambda (directory &key recurse exclude) (collect (list directory :recurse recurse :exclude exclude)))))) :test 'equal :from-end t)) ;; Will read the configuration and initialize all internal variables. (defun* compute-source-registry (&optional parameter (registry *source-registry*)) (dolist (entry (flatten-source-registry parameter)) (destructuring-bind (directory &key recurse exclude) entry (let* ((h (make-hash-table :test 'equal))) ; table to detect duplicates (register-asd-directory directory :recurse recurse :exclude exclude :collect #'(lambda (asd) (let* ((name (pathname-name asd)) (name (if (typep asd 'logical-pathname) ;; logical pathnames are upper-case, ;; at least in the CLHS and on SBCL, ;; yet (coerce-name :foo) is lower-case. ;; won't work well with (load-system "Foo") ;; instead of (load-system 'foo) (string-downcase name) name))) (cond ((gethash name registry) ; already shadowed by something else nil) ((gethash name h) ; conflict at current level (when *asdf-verbose* (warn (compatfmt "~@") directory recurse name (gethash name h) asd))) (t (setf (gethash name registry) asd) (setf (gethash name h) asd)))))) h))) (values)) (defvar *source-registry-parameter* nil) (defun* initialize-source-registry (&optional (parameter *source-registry-parameter*)) (setf *source-registry-parameter* parameter) (setf *source-registry* (make-hash-table :test 'equal)) (compute-source-registry parameter)) ;; Checks an initial variable to see whether the state is initialized ;; or cleared. In the former case, return current configuration; in ;; the latter, initialize. ASDF will call this function at the start ;; of (asdf:find-system) to make sure the source registry is initialized. ;; However, it will do so *without* a parameter, at which point it ;; will be too late to provide a parameter to this function, though ;; you may override the configuration explicitly by calling ;; initialize-source-registry directly with your parameter. (defun* ensure-source-registry (&optional parameter) (unless (source-registry-initialized-p) (initialize-source-registry parameter)) (values)) (defun* sysdef-source-registry-search (system) (ensure-source-registry) (values (gethash (coerce-name system) *source-registry*))) (defun* clear-configuration () (clear-source-registry) (clear-output-translations)) ;;; ECL support for COMPILE-OP / LOAD-OP ;;; ;;; In ECL, these operations produce both FASL files and the ;;; object files that they are built from. Having both of them allows ;;; us to later on reuse the object files for bundles, libraries, ;;; standalone executables, etc. ;;; ;;; This has to be in asdf.lisp and not asdf-ecl.lisp, or else it becomes ;;; a problem for asdf on ECL to compile asdf-ecl.lisp after loading asdf.lisp. ;;; #+ecl (progn (setf *compile-op-compile-file-function* 'ecl-compile-file) (defun ecl-compile-file (input-file &rest keys &key &allow-other-keys) (if (use-ecl-byte-compiler-p) (apply 'compile-file* input-file keys) (multiple-value-bind (object-file flags1 flags2) (apply 'compile-file* input-file :system-p t keys) (values (and object-file (c::build-fasl (compile-file-pathname object-file :type :fasl) :lisp-files (list object-file)) object-file) flags1 flags2)))) (defmethod output-files ((operation compile-op) (c cl-source-file)) (declare (ignorable operation)) (let* ((p (lispize-pathname (component-pathname c))) (f (compile-file-pathname p :type :fasl))) (if (use-ecl-byte-compiler-p) (list f) (list (compile-file-pathname p :type :object) f)))) (defmethod perform ((o load-op) (c cl-source-file)) (map () #'load (loop :for i :in (input-files o c) :unless (string= (pathname-type i) "fas") :collect (compile-file-pathname (lispize-pathname i)))))) ;;;; ----------------------------------------------------------------- ;;;; Hook into REQUIRE for ABCL, CLISP, ClozureCL, CMUCL, ECL and SBCL ;;;; (defvar *require-asdf-operator* 'load-op) (defun* module-provide-asdf (name) (handler-bind ((style-warning #'muffle-warning) #-genera (missing-component (constantly nil)) (error #'(lambda (e) (format *error-output* (compatfmt "~@~%") name e)))) (let ((*verbose-out* (make-broadcast-stream)) (system (find-system (string-downcase name) nil))) (when system (operate *require-asdf-operator* system :verbose nil) t)))) #+(or abcl clisp clozure cmu ecl sbcl) (let ((x (and #+clisp (find-symbol* '#:*module-provider-functions* :custom)))) (when x (eval `(pushnew 'module-provide-asdf #+abcl sys::*module-provider-functions* #+clisp ,x #+clozure ccl:*module-provider-functions* #+(or cmu ecl) ext:*module-provider-functions* #+sbcl sb-ext:*module-provider-functions*)))) ;;;; ------------------------------------------------------------------------- ;;;; Cleanups after hot-upgrade. ;;;; Things to do in case we're upgrading from a previous version of ASDF. ;;;; See https://bugs.launchpad.net/asdf/+bug/485687 ;;;; ;;; If a previous version of ASDF failed to read some configuration, try again. (when *ignored-configuration-form* (clear-configuration) (setf *ignored-configuration-form* nil)) ;;;; ----------------------------------------------------------------- ;;;; Done! (when *load-verbose* (asdf-message ";; ASDF, version ~a~%" (asdf-version))) #+allegro (eval-when (:compile-toplevel :execute) (when (boundp 'excl:*warn-on-nested-reader-conditionals*) (setf excl:*warn-on-nested-reader-conditionals* *acl-warn-save*))) (pushnew :asdf *features*) (pushnew :asdf2 *features*) (provide :asdf) ;;; Local Variables: ;;; mode: lisp ;;; End: cafeobj-1.5.4/BigPink/0000755000000000000000000000000012415124723013134 5ustar rootrootcafeobj-1.5.4/BigPink/codes/0000755000000000000000000000000012605345045014234 5ustar rootrootcafeobj-1.5.4/BigPink/codes/butils.lisp0000644000000000000000000020627112605345045016437 0ustar rootroot;;;-*-Mode:LISP; Package: CHAOS; Base:10; Syntax:Common-lisp -*- ;;; ;;; Copyright (c) 2000-2015, Toshimi Sawada. All rights reserved. ;;; ;;; Redistribution and use in source and binary forms, with or without ;;; modification, are permitted provided that the following conditions ;;; are met: ;;; ;;; * Redistributions of source code must retain the above copyright ;;; notice, this list of conditions and the following disclaimer. ;;; ;;; * Redistributions in binary form must reproduce the above ;;; copyright notice, this list of conditions and the following ;;; disclaimer in the documentation and/or other materials ;;; provided with the distribution. ;;; ;;; THIS SOFTWARE IS PROVIDED BY THE AUTHOR 'AS IS' AND ANY EXPRESSED ;;; OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED ;;; WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ;;; ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY ;;; DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL ;;; DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE ;;; GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS ;;; INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, ;;; WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING ;;; NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS ;;; SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. ;;; ;;; (in-package :chaos) #|============================================================================= System:Chaos Module:BigPink File:butils.lisp =============================================================================|# #-:chaos-debug (declaim (optimize (speed 3) (safety 0) #-GCL (debug 0))) #+:chaos-debug (declaim (optimize (speed 1) (safety 3) #-GCL (debug 3))) ;;; ************************************************************************** ;;; BASIC UTILITY FUNCTIONS ;;; ************************************************************************** ;;; function specs ;;; TERM-IS-IDENTICAL : TERM1 TERM2 -> Bool ;;; (defun term-is-identical (t1 t2) (declare (type term t1) (type (or term null) t2)) (if (term-type-eq t1 t2) (or (term-eq t1 t2) (if t2 (cond ((term-is-application-form? t1) (if (method-w= (term-head t1) (term-head t2)) (let ((subs1 (term-subterms t1)) (subs2 (term-subterms t2))) (loop ;; (when (null subs1) (return (null subs2))) (when (null subs1) (return t)) (unless (term-is-identical (car subs1) (car subs2)) (return nil)) (setq subs1 (cdr subs1) subs2 (cdr subs2)))) nil)) ((term-is-variable? t1) (variable-eq t1 t2)) ((term-is-builtin-constant? t1) (term-builtin-equal t1 t2)) ((term-is-lisp-form? t1) (and (term-is-lisp-form? t2) (equal (lisp-form-original-form t1) (lisp-form-original-form t2)))) (t (break "unknown type of term ~s" t1 ))))) )) ;;; TERM-OCCURS-IN : TERM1 TERM2 -> Bool ;;; (defun term-occurs-in (t1 t2) (declare (type term t1 t2)) (or (term-is-identical t1 t2) (and (term-is-application-form? t2) (dolist (sub (term-subterms t2) nil) (when (term-occurs-in t1 sub) (return-from term-occurs-in t)))) )) ;;; OPERATOR-OCCURS-IN : method term -> bool ;;; true if method appears in term. ;;; (defun operator-occurs-in (meth term) (declare (type method meth) (type term term)) (cond ((or (term-is-variable? term) (term-is-builtin-constant? term) (term-is-lisp-form? term)) (return-from operator-occurs-in nil)) ((method= meth (term-head term)) (return-from operator-occurs-in t)) (t (dolist (sub (term-subterms term)) (when (operator-occurs-in meth sub) (return-from operator-occurs-in t))) nil))) ;;; COPY-TERM-REUSING-VARIABLES ;;; (defun copy-term-reusing-variables (term &optional variables) (declare (type term term) (list variables) (values term)) (cond ((term-is-variable? term) (let ((var (find-if #'(lambda (x) (variable-eq term x)) variables))) (if var var #|| (if variables (with-output-panic-message-n (:p-pn-0010 (list (variable-name term))) ;; (format t "copying term, could not find var ~a" ;; (variable-name term)) (break "type in :q for returning to top-level.") ) term) ||# term ))) ((term-is-application-form? term) (@create-application-form-term (term-head term) (term-sort term) (mapcar #'(lambda (x) (copy-term-reusing-variables x variables)) (term-subterms term)))) (t (simple-copy-term term)))) (defun allocate-new-term-cell (term) (declare (type term term) (values term)) (create-term (term-body term))) ;;; PN-MAKE-NEW-VARIABLE : var -> var ;;; (let ((gen-var-num 0)) (declare (type fixnum gen-var-num)) (defun pn-reset-var-num () (setq gen-var-num 0)) (defun pn-current-var-num () gen-var-num) (defun pn-next-var-num () (1+ gen-var-num)) (defun pn-make-new-variable (var) (declare (type term var) (values term)) (let ((vnam (incf gen-var-num))) (declare (type fixnum vnam)) (if (pn-flag new-variable-name) (make-variable-term (variable-sort var) vnam vnam) (make-variable-term (variable-sort var) vnam (variable-print-name var)))) ) (defun pn-make-var-on-the-fly (sort) (let ((name (incf gen-var-num))) (declare (type fixnum name)) (make-variable-term sort name name))) ) ;;; REPLACE-TERM-VARS (term subst) ;;; (defun replace-term-vars (term subst) (declare (type term term) (type list subst) (values term)) (when (term-is-application-form? term) (dotimes (x (length (term-subterms term))) (declare (type fixnum x)) (let ((sub (term-arg-n term x))) (declare (type term sub)) (cond ((term-is-variable? sub) (let ((new-var (variable-image subst sub))) (when new-var (setf (term-arg-n term x) new-var)))) (t (replace-term-vars sub subst)))))) term) ;;; TERM-UNIQUE-VARS (defun make-term-var-rename-map (term) (declare (type term term) (values list)) (let ((vars (term-variables term)) (subst nil)) (dolist (v vars) (push (cons v (pn-make-new-variable v)) subst)) subst)) (defun term-unique-vars (term &optional (dest nil)) (declare (type term term) (values term list)) (let ((subst (make-term-var-rename-map term))) (if subst (if dest (values (replace-term-vars term subst) subst) (values (apply-subst subst term) subst))) (values term nil))) ;;; IS-SKOLEM : method module -> Bool ;;; (defun is-skolem (meth &optional (module (get-context-module))) (declare (type method meth) (type (or null module) module) (values boolean)) (memq meth (module-skolem-functions module))) ;;; ID-NESTED-SKOLEMS : Term -> Bool ;;; t iff term or any of its subterms have the identical-nested-skolems property. ;;; (defun id-nested-skolems (term) (declare (type term term)) (unless (term-is-application-form? term) (return-from id-nested-skolems nil)) ;; (when (is-skolem (term-head term)) (dolist (sub (term-subterms term)) (when (operator-occurs-in (term-head term) sub) (return-from id-nested-skolems t)))) (dolist (sub (term-subterms term)) (when (id-nested-skolems sub) (return-from id-nested-skolems t))) nil) ;;; IDENT-NESTED-SKOLEMS : Clause -> Bool ;;; t iff any of the terms in clause have the ;;; identical-nested-skolems property. ;;; (defun ident-nested-skolems (clause) (declare (type clause clause)) (dolist (lit (clause-literals clause)) (declare (type literal lit)) (when (id-nested-skolems (literal-atom lit)) (return-from ident-nested-skolems t))) nil) ;;; MAKE-VAR-MAPPING : List[Variables] -> ALIST[(OldVar . NewVar)] ;;; (defun make-var-mapping (vars) (declare (type list vars) (values list)) (let ((new-vars-list nil)) (dolist (v vars) (setq new-vars-list (acons v (pn-make-new-variable v) new-vars-list))) new-vars-list)) ;;; INIT-PN-OPTIONS ;;; (defun init-pn-options () (declare (values t)) ;; reset flags (dotimes (x *pn-max-flags*) (setf (pn-flag x) nil)) ;; reset initially `on' flags ;; (setf (pn-flag sos-queue) t) (setf (pn-flag para-from-left) t) (setf (pn-flag para-from-right) t) (setf (pn-flag para-into-left) t) (setf (pn-flag para-into-right) t) ;(setf (pn-flag detailed-history) t) (setf (pn-flag for-sub) t) (setf (pn-flag back-sub) t) ;(setf (pn-flag demod-history) t) (setf (pn-flag print-kept) t) (setf (pn-flag print-stats) t) ;(setf (pn-flag demod-history) t) (setf (pn-flag print-given) t) (setf (pn-flag print-back-sub) t) (setf (pn-flag print-new-demod) t) (setf (pn-flag print-back-demod) t) (setf (pn-flag back-unit-deletion) nil) (setf (pn-flag simplify-fol) t) (setf (pn-flag print-proofs) t) (setf (pn-flag new-variable-name) t) (setf (pn-flag print-message) t) ;; (setf (pn-flag quiet) t) (setf (pn-flag order-hyper) t) ;; (setf (pn-flag prop-res) t) (setf (pn-flag put-goal-in-sos) t) (setf (pn-flag check-init-always) t) ;; (setf (pn-flag no-junk) nil) (setf (pn-flag no-confusion) nil) ;; (setf (pn-flag meta-paramod) nil) ;; (setf (pn-flag randomize-sos) t) (setf (pn-flag randomize-sos) nil) ;; ;; (setf (pn-flag unify-heavy) t) ********** ;; ;; reset parameters ;; (dotimes (x *pn-max-parameters*) (setf (pn-parameter x) -1)) (setf (pn-parameter demod-limit) 1000) (setf (pn-parameter max-weight) most-positive-fixnum) (setf (pn-parameter max-given) -1) (setf (pn-parameter max-sos) -1) (setf (pn-parameter max-seconds) -1) (setf (pn-parameter neg-weight) 0) (setf (pn-parameter max-kept) -1) (setf (pn-parameter max-gen) -1) (setf (pn-parameter max-literals) -1) (setf (pn-parameter max-proofs) 1) (setf (pn-parameter stats-level) 2) (setf (pn-parameter pick-given-ratio) -1) (setf (pn-parameter change-limit-after) 0) (setf (pn-parameter new-max-weight) most-positive-fixnum) (setf (pn-parameter max-answers) -1) (setf (pn-parameter dynamic-demod-depth) -1) (setf (pn-parameter dynamic-demod-rhs) 1) (setf (pn-parameter inv-check-max-depth) -1) (setf (pn-parameter control-memory-point) 20) ) ;;; initialize (eval-when (:execute :load-toplevel) (init-pn-options)) ;;; FIND-PN-FLAG-INDEX : Name -> Index ;;; (defun find-pn-flag-index (name) (declare (type simple-string name) (values (or null fixnum))) (let ((i 0)) (declare (type fixnum i)) (dotimes (x *pn-max-flags*) (when (string= name (pn-flag-name x)) (return-from find-pn-flag-index i)) (incf i)) nil)) ;;; FIND-PN-PARAMETER-INDEX : Name -> Index ;;; (defun find-pn-parameter-index (name) (declare (type simple-string name) (values (or null fixnum))) (let ((i 0)) (declare (type fixnum i)) (dotimes (x *pn-max-parameters*) (when (string= name (pn-parameter-name x)) (return-from find-pn-parameter-index i)) (incf i)) nil)) ;;; SAVE-PN-FLAGS (defun save-pn-flags () (declare (values simple-vector)) (let ((flg-array (make-array *pn-max-flags*))) (dotimes (x *pn-max-flags*) (setf (aref flg-array x) (pn-flag x))) flg-array)) ;;; RESTORE-PN-FLAGS (defun restore-pn-flags (array) (declare (type simple-vector array) (values t)) (dotimes (x *pn-max-flags*) (setf (pn-flag x) (aref array x)))) ;;; SAVE-PN-PARAMETERS (defun save-pn-parameters () (declare (values simple-array)) (let ((para-array (make-array *pn-max-parameters*))) (dotimes (x *pn-max-parameters*) (setf (aref para-array x) (pn-parameter x))) para-array)) ;;; RESTORE-PN-PARAMETERS (defun restore-pn-parameters (array) (declare (type simple-vector array) (values t)) (dotimes (x *pn-max-parameters*) (setf (pn-parameter x) (aref array x)))) ;;; -------------------- ;;; OPTION SET UTILITIES ;;; -------------------- (defun find-option-set (name) (declare (type simple-string name) (values (or option-set null))) (find-if #'(lambda (x) (string= name (option-set-name x))) *pn-option-set*)) (defun create-option-set (name) (declare (type simple-string name)) (let ((oset (make-option-set :name name))) ;; (declare (type option-set oset)) (let ((flags (save-pn-flags)) (parameters (save-pn-parameters))) (setf (option-set-flags oset) flags) (setf (option-set-parameters oset) parameters) oset))) (defun save-option-set (name) (declare (type simple-string name)) (let ((oset (find-option-set name))) (when (pn-flag print-message) (with-output-msg () (format t "saving options to ~a." name))) (if oset (progn (unless (pn-flag quiet) (with-output-chaos-warning () (format t "changing option set ~a" name))) (setf (option-set-flags oset) (save-pn-flags)) (setf (option-set-parameters oset) (save-pn-parameters))) (progn (setq oset (create-option-set name)) (push oset *pn-option-set*))) t)) (defun restore-option-set (name) (declare (type simple-string name)) (let ((oset (find-option-set name))) (unless oset (with-output-chaos-error ('no-opset) (format t "no such option set ~a" name))) (when (pn-flag print-message) (with-output-msg () (format t "restoring options from ~a" name))) ;; (restore-pn-flags (option-set-flags oset)) (restore-pn-parameters (option-set-parameters oset)) t)) (defun show-option-set (name) (declare (type simple-string name)) (let ((oset (find-option-set name))) (unless oset (with-output-chaos-error ('no-oset) (format t "no such option set ~a" name))) (let ((oflags (save-pn-flags)) (oparams (save-pn-parameters))) (restore-option-set name) (pr-list-of-flag) (print-next) (pr-list-of-param) (restore-pn-flags oflags) (restore-pn-parameters oparams) t))) ;;; PR-LIST-OF-FLAG ;;; (defun pr-list-of-flag () (let ((*print-indent* 2) (flags nil)) (format t "** PigNose Flags --------------") (dotimes (x *pn-max-flags*) (unless (equal (pn-flag-name x) "") (push x flags))) (setq flags (sort flags #'(lambda (x y) (declare (type fixnum x y)) (string< (the simple-string (pn-flag-name x)) (the simple-string (pn-flag-name y)))) )) (dolist (flag flags) (print-next) (format t "flag(~a, ~a)" (pn-flag-name flag) (if (pn-flag flag) "on" "off"))))) ;;; PR-LIST-OF-PARAM ;;; (defun pr-list-of-param () (let ((*print-indent* 2) (params nil)) (format t "** PigNose Parameters ---------") (dotimes (x *pn-max-parameters*) (unless (equal (pn-parameter-name x) "") (push x params))) (setq params (sort params #'(lambda (x y) (declare (type fixnum x y)) (string< (the simple-string (pn-parameter-name x)) (the simple-string (pn-parameter-name y)))))) (dolist (x params) (print-next) (format t "param(~a,~d)~35t range ~d .. ~d" (pn-parameter-name x) (pn-parameter x) (pn-parameter-min x) (pn-parameter-max x))))) ;;; LIST OF OPTIONS (defun pr-list-of-option () (if *pn-option-set* (with-output-msg () (format t "** PigNose Option Sets -------") (dolist (x *pn-option-set*) (print-next) (princ (option-set-name x)))) (with-output-msg () (princ "none")))) ;;; ---------------- ;;; AUTO-CHANGE-FLAG ;;; (defun auto-change-flag (index value) (declare (type fixnum index)) (unless (eq (pn-flag index) value) (when (pn-flag print-message) (with-output-simple-msg () (format t " dependent: flag(~a, ~a)" (pn-flag-name index) (if value "on" "off")))) (setf (pn-flag index) value) (dependent-flags index))) (defun dependent-flags (index) (declare (type fixnum index)) (when (pn-flag index) ;; just set (case index (#.kb (auto-change-flag para-from t) (auto-change-flag para-into t) (auto-change-flag para-from-left t) (auto-change-flag para-from-right nil) (auto-change-flag para-into-left t) (auto-change-flag para-into-right nil) (auto-change-flag para-from-vars t) (auto-change-flag eq-units-both-ways t) (unless (pn-flag no-demod) (auto-change-flag dynamic-demod-all t)) (unless (pn-flag no-back-demod) (auto-change-flag back-demod t)) (auto-change-flag process-input t) (auto-change-flag lrpo t) ) (#.kb2 (auto-change-flag para-from t) (auto-change-flag para-into t) (auto-change-flag para-from-left t) (auto-change-flag para-from-right nil) (auto-change-flag para-into-left t) (auto-change-flag para-into-right nil) (auto-change-flag para-from-vars nil) (auto-change-flag eq-units-both-ways t) (unless (pn-flag no-demod) (auto-change-flag dynamic-demod-all t)) (unless (pn-flag no-back-demod) (auto-change-flag back-demod t)) (auto-change-flag process-input t) (auto-change-flag lrpo t) ) (#.kb3 (auto-change-flag para-from t) (auto-change-flag para-into t) (auto-change-flag para-from-left t) (auto-change-flag para-from-right nil) (auto-change-flag para-into-left t) (auto-change-flag para-into-right nil) (auto-change-flag para-from-vars nil) (auto-change-flag eq-units-both-ways nil) (unless (pn-flag no-demod) (auto-change-flag dynamic-demod-all t)) (unless (pn-flag no-back-demod) (auto-change-flag back-demod t)) (auto-change-flag process-input t) (auto-change-flag lrpo t) ) (#.back-demod (auto-change-flag dynamic-demod t)) (#.dynamic-demod-all (auto-change-flag dynamic-demod t)) (#.dynamic-demod (auto-change-flag order-eq t)) (#.binary-res (auto-change-flag factor t) (auto-change-flag unit-deletion t)) (#.very-verbose (auto-change-flag print-kept t) (auto-change-flag print-new-demod t) (auto-change-flag trace-demod t)) #|| (#.para-all (auto-change-flag detailed-history nil)) ||# (#.propositional (auto-change-flag sort-literals t) (auto-change-flag process-input t) (auto-change-flag prop-res nil)) ((#.auto1 #.auto3) (auto-change-flag process-input t) (auto-change-flag print-kept nil) (auto-change-flag print-new-demod nil) (auto-change-flag print-back-demod nil) (auto-change-flag print-back-sub nil) (auto-change-flag control-memory t) (auto-change-param max-sos 500) (auto-change-param pick-given-ratio 4) (auto-change-param stats-level 2) (auto-change-param max-seconds 3600) ) (#.auto2 (auto-change-flag process-input t) (auto-change-flag print-kept nil) (auto-change-flag print-new-demod nil) (auto-change-flag print-back-demod nil) (auto-change-flag print-back-sub nil) (auto-change-flag control-memory t) (auto-change-param max-sos 500) (auto-change-param pick-given-ratio 4) (auto-change-param stats-level 2) (auto-change-param max-seconds 3600) ) (#.auto (auto-change-flag auto1 t)) #|| flag is obsolete (#.build-proof-object (auto-change-flag order-history t) (auto-change-flag detailed-history t)) ||# (#.back-unit-deletion (auto-change-flag unit-deletion t)) (#.quiet (auto-change-flag print-message nil) (auto-change-flag print-kept nil) (auto-change-flag print-given nil) (auto-change-flag print-back-sub nil) (auto-change-flag print-new-demod nil) (auto-change-flag print-back-demod nil) ;; (auto-change-flag print-proofs nil) (auto-change-flag print-stats nil) (auto-change-flag print-lists-at-end nil) (auto-change-flag very-verbose nil) ) (#.no-demod (auto-change-flag no-back-demod t) (auto-change-flag demod-inf nil) (auto-change-flag dynamic-demod nil) (auto-change-flag dynamic-demod-all nil) (auto-change-flag dynamic-demod-lex-dep nil) (auto-change-flag back-demod nil)) (#.no-back-demod (auto-change-flag back-demod nil)) #|| (#.no-new-demod (auto-change-flag no-back-demod t)) ||# (#.demod-inf (auto-change-flag dynamic-demod-all t) ;; (auto-change-flag lrpo t) ) ;; )) ) ;;; AUTO-CHANGE-PARAM ;;; (defun auto-change-param (index value) (declare (type fixnum index value)) (unless (eql (pn-parameter index) value) (when (pn-flag print-message) (with-output-simple-msg () (format t " dependent: param(~a, ~d)." (pn-parameter-name index) value))) (setf (pn-parameter index) value) (dependent-params index))) (defun dependent-params (index) index) ;;; MOVE-CLAUSES ;;; (defun move-from-usable-to-sos (pred) ;; (declare (type (function (clause) boolean) pred)) (let ((new-sos nil) (new-usable nil)) (dolist (c *usable*) (if (funcall pred c) (progn (push c new-sos) (setf (clause-container c) :sos)) (progn (push c new-usable) (setf (clause-container c) :usable)))) (setq *usable* (nreverse new-usable)) (setq *sos* (nreverse new-sos)) (setf (pn-stat usable-size) (length *usable*)) (setf (pn-stat sos-size) (length *sos*)) (when *current-psys* (setf (psystem-usable *current-psys*) *usable*) (setf (psystem-sos *current-psys*) *sos*)) )) ;;; ;;; (defun get-global-list (list) (declare (type symbol list) (values list)) (case list (:sos *sos*) (:usable *usable*) (:hot *hot*) (t nil))) ;;; PN-CONTROL-MEMORY ;;; (declaim (type fixnum .next-cotrol-point.) (type fixnum .max-weight.)) (defvar .next-control-point. 0) #|| (defun reset-memory-control () (setq .next-control-point. 0)) ||# (defun reset-memory-control () (setq .next-control-point. (* 20 (the fixnum (length *sos*))))) (defparameter .max-weight. 500) (declaim (type (simple-array fixnum (500)) .sos-dist.)) (defvar .sos-dist. (make-array .max-weight. :element-type 'fixnum)) (defun pn-control-memory () (let ((control (and (not (= (pn-parameter max-sos) -1)) #|| (and (< (pn-parameter max-sos) (pn-stat sos-size)) (or (zerop .next-control-point.) (= .next-control-point. (pn-stat cl-given)))) ||# (or (< (pn-parameter max-sos) (pn-stat sos-size)) (= .next-control-point. (pn-stat cl-given))) ))) ;; (when control (unless (= (pn-parameter control-memory-point) -1) (setq .next-control-point. (+ (pn-stat cl-given) (pn-parameter control-memory-point)))) (let ((size 0)) (declare (type fixnum size)) (dotimes (x .max-weight.) (setf (aref .sos-dist. x) 0)) ;; (dolist (cl *sos*) (let ((cl-weight (clause-pick-weight cl)) (wt 0)) (declare (type fixnum wt)) (if (< cl-weight 0) (setq wt 0) (if (<= .max-weight. cl-weight) (setq wt (1- .max-weight.)) (setq wt cl-weight))) (incf (aref .sos-dist. wt)) (incf size))) ;; (let ((i 0) (n 0)) (declare (type fixnum i n)) (while (and (< i .max-weight.) (<= (* n 20) size)) (incf n (aref .sos-dist. i)) (incf i)) ;; (decf i) ;; reset weight limit to i (when (or (< i (pn-parameter max-weight)) (= 0 (pn-parameter max-weight))) (setf (pn-parameter max-weight) i) (when (pn-flag print-message) (with-output-msg () (format t "resetting weight limit to ~d" i) (print-next) (format t "sos size = ~d" size)))) ))) )) ;;; PN-RUN-TIME ;;; (defun pn-run-time () (declare (values float)) (clock-stop pn-global-run-time) (let ((seconds (time-in-seconds (pn-clock-value pn-global-run-time)))) (clock-start pn-global-run-time) ;; (format t "~%<~s> seconds.~%" seconds) seconds)) ;;; CHECK-PN-STOP ;;; should the search be terminated? ;;; returns one of: ;;; :keep-searching : should not stop ;;; :max-given-exit : stop due to max-given option ;;; :max-gen-exit : stop due to max-gen option ;;; :max-kept-exit : stop due to max-kept option ;;; :max-seconds : stop due to max-seconds option ;;; (defun check-pn-stop () (let ((given (pn-stat cl-given)) (gen (pn-stat cl-generated)) (kept (pn-stat cl-kept)) (seconds (pn-internal-run-time)) (stat :keep-searching)) #|| (declare (type fixnum given gen kept) (type single-float seconds) (type symbol stat) (values symbol)) ||# (let ((max-given? (pn-parameter max-given)) (max-gen? (pn-parameter max-gen)) (max-seconds? (pn-parameter max-seconds)) (max-kept? (pn-parameter max-kept))) (declare (type fixnum max-given? max-gen? max-seconds? max-kept?)) (cond ((and (not (= max-given? -1)) (>= given max-given?)) (setq stat :max-given-exit)) ((and (not (= max-seconds? -1)) (>= seconds (float max-seconds?))) (setq stat :max-seconds-exit)) ((and (not (= max-gen? -1)) (>= gen max-gen?)) (setq stat :max-gen-exit)) ((and (not (= max-kept? -1)) (>= kept max-kept?)) (setq stat :max-kept-exit))) stat))) ;;; CHECK-FOR-PROOF : Clause -> Clause ;;; check for `empty clause proof' and `unit conflict' proof. ;;; (defun check-for-proof (clause list) (declare (type clause clause) (type symbol list) (values (or null clause))) (let ((num-lits (num-literals clause)) (e nil)) (declare (type fixnum num-lits) (type (or null clause) e)) (cond ((= 0 num-lits) (when (pn-flag print-message) (format t "~% ~%** EMPTY CLAUSE__________________________") (with-output-simple-msg () (princ " ") (print-next) (print-clause clause))) ;; (decf (pn-stat cl-kept)) (delete-from-list list clause) (incf (pn-stat empty-clauses)) (setq e clause) (when (pn-flag print-proofs) (print-proof e)) ) ;; ((= 1 num-lits) (let ((cp1 (unit-conflict clause))) (dolist (cl cp1) (setq e cl) (when (pn-flag print-message) (format t "~% ~%** UNIT CONFLICT_________________________") (with-output-simple-msg () (princ " ") (print-next) (print-clause e))) (when (pn-flag print-proofs) (print-proof e)) ;; (delete-from-list list clause) #|| obsolete flag (when (pn-flag build-proof-object) (build-proof-object e)) ||# ))) ) ;; e)) ;;; PRINT-PROOF ;;; *TODO* (defun print-proof (clause) (format t "~% ~%** PROOF ________________________________") (with-output-simple-msg () (princ " ") (let ((cl-list (clause-all-parents clause))) (setq cl-list (cons clause cl-list)) (setq cl-list (sort cl-list #'(lambda (x y) (< (clause-id x) (clause-id y))))) (dolist (cl cl-list) (print-next) (print-clause cl)))) (format t "~% ~%** ______________________________________~% ~%") ) ;;; MOVE-AXIOMS-TO-USABLE ;;; (defun move-axioms-to-usable (psys) (declare (type psystem psys) (values t)) (let ((usable nil) (passive (psystem-passive psys))) (dolist (cl (psystem-axioms psys)) (unless (member cl passive :test #'(lambda (x y) (eq (clause-axiom x) (clause-axiom y)))) (setf (clause-container cl) :usable) (push cl usable))) (setf (psystem-usable psys) (nreverse usable)) (setf (psystem-sos psys) nil))) ;;; CLAUSE-SET-PROPERTY ;;; returns some basic properties of clause set. ;;; (defun clause-set-property (&optional check-sos-also) ;; find out some basic properties. (let ((propositional? t) (horn? t) (equality? t) (symmetry? t) (max-lits? 0)) (declare (type fixnum max-lits?)) ;; propositional (setq propositional? (and *usable* (every #'propositional-clause? *usable*))) (when (and propositional? check-sos-also *sos*) (setq propositional? (every #'propositional-clause? *sos*))) ;; horn (setq horn? (and *usable* (every #'horn-clause? *usable*))) (when (and horn? check-sos-also *sos*) (setq horn? (every #'horn-clause? *sos*))) ;; equality (setq equality? (some #'equality-clause? *usable*)) (unless equality? (when (and check-sos-also *sos*) (setq equality? (some #'equality-clause? *sos*)))) ;; symmetry (setq symmetry? (some #'symmetry-clause? *usable*)) (unless symmetry? (when (and check-sos-also *sos*) (setq symmetry? (some #'symmetry-clause? *sos*)))) ;; max literals (dolist (c *usable*) (let ((i (num-literals c))) (setq max-lits? (max max-lits? i)))) (when check-sos-also (dolist (c *sos*) (let ((i (num-literals c))) (setq max-lits? (max max-lits? i))))) ;; returns basic properties (values propositional? horn? equality? symmetry? max-lits?))) (defun report-clause-set-props (propositional? horn? equality? symmetry? max-lits?) (declare (type fixnum max-lits?)) ;; (when (pn-flag print-message) (with-output-simple-msg () (princ "[Properties of input clauses]:") (print-next) (format t " propositional~18t= ~:[no~;yes~]" propositional?) (print-next) (format t " horn~18t= ~:[no~;yes~]" horn?) (print-next) (format t " equality~18t= ~:[no~;yes~]" equality?) (print-next) (format t " symmetry~18t= ~:[no~;yes~]" symmetry?) (print-next) (format t " max literals~18t= ~d" max-lits?)) )) ;;; PN-AUTOMATIC-SETTINGS ;;; - do very simple syntactive analysis of the clauses and ;;; decide on a simple strategy. ;;; - print a message about the strategy. ;;; (defun pn-automatic-settings-1 () ;; #|| (unless *current-psys* (with-output-panic-message-n (:p-pn-0020) ;; (format t "system error, no context in PigNose environment.") )) ||# (move-axioms-to-usable *current-psys*) (setf *usable* (psystem-usable *current-psys*)) (setf *sos* nil) #|| (when *demodulators* (with-output-chaos-error () (princ "`demodulators' list is not accepted in auto1 mode."))) ||# (when *sos* (with-output-chaos-error () (princ "`sos' list is not accepted in auto1 mode."))) (when (or *weight-pick-given* *weight-purge-gen* *weight-terms*) (with-output-chaos-error () (princ "weight lists not accepted in auto mode."))) ;; find out some basic properties. ;; all input clauses are in usable; move to sos. (multiple-value-bind (propositional? horn? equality? symmetry? max-lits?) (clause-set-property) ;; report the result (report-clause-set-props propositional? horn? equality? symmetry? max-lits?) ;; (when (pn-flag print-message) (with-output-simple-msg () (princ "[selected strategy]:"))) ;; (cond (propositional? #|| (when (pn-flag print-message) (with-output-msg () (princ "The clause set is propositional. the stragety will be") (print-next) (princ "ordered hyperresolution with the propositional") (print-next) (princ "optimizations, with satellites in sos and nuclei in usable."))) ||# (auto-change-flag propositional t) (auto-change-flag hyper-res t) (move-from-usable-to-sos #'positive-clause?)) ;; ((and equality? (= 1 max-lits?)) #|| (when (pn-flag print-message) (with-output-msg () (princ "All clauses are units, and equality is present; the") (print-next) (princ "strategy will be knuth-bendix with positive clauses in sos."))) ||# (auto-change-flag kb t) (when (every #'positive-clause? *usable*) (when (pn-flag print-message) (with-output-msg () (when (pn-flag print-message) (princ "There is no negative clause, so all clause lists will") (print-next) (princ "be printed at the end of the search.")))) (auto-change-flag print-lists-at-end t)) (move-from-usable-to-sos #'positive-clause?)) ((and (not horn?) (not equality?)) #|| (when (pn-flag print-message) (with-output-msg () (princ "This is a non-Horn set without equality. The strategy") (print-next) (princ "will be ordered hyper-res, unit deletion, and factoring,") (print-next) (princ "with stellites in sos and with nuclei in usable."))) ||# (auto-change-flag hyper-res t) (auto-change-flag factor t) (auto-change-flag unit-deletion t) (move-from-usable-to-sos #'positive-clause?)) ;; ((and horn? (not equality?)) #|| (when (pn-flag print-message) (with-output-msg () (princ "This is a Horn set without equality. The strategy will") (print-next) (princ "be hyperresolution, with satelites in sos and nuclei") (print-next) (princ "in usable."))) ||# (auto-change-flag hyper-res t) (auto-change-flag order-hyper nil) (move-from-usable-to-sos #'positive-clause?)) ;; ((and (not horn?) equality?) #|| (when (pn-flag print-message) (with-output-msg () (princ "This is a no-Horn set with equality. The strategy will be") (print-next) (princ "knuth-bendix, ordered hyper-res, factoring, and unit") (print-next) (princ "deletion, with positive clauses in sos and nonpositive") (print-next) (princ "clauses in usable"))) ||# (auto-change-flag kb t) (auto-change-flag hyper-res t) (auto-change-flag unit-deletion t) (auto-change-flag factor t) (when symmetry? #|| (when (pn-flag print-message) (with-output-msg () (princ "There is a clause for symmetry of equality, so it is") (print-next) (princ "assumed that equality is fully axiomatized; therefore,") (print-next) (princ "paramodulation is disabled."))) ||# (when (pn-flag print-message) (with-output-msg () (princ "Paramodulation is disabled, because there is a clause") (print-next) (princ "for symmetry of equality."))) (auto-change-flag para-from nil) (auto-change-flag para-into nil)) (move-from-usable-to-sos #'positive-clause?)) ;; ((and horn? equality?) #|| (when (pn-flag print-message) (with-output-msg () (princ "This is a Horn set with equality. The strategy will be") (print-next) (princ "knuth-bendix and hyper-res, with positive clauses in") (print-next) (princ "sos and non-positive clauses in usable."))) ||# (auto-change-flag kb t) (auto-change-flag hyper-res t) (auto-change-flag order-hyper nil) (when symmetry? #|| (when (pn-flag print-message) (with-output-msg () (princ "There is a clause for symmetry of equality, so it is") (print-next) (princ "assumed that equality is fully axiomatized; therefore,") (print-next) (princ "paramodulation is disabled."))) ||# (when (pn-flag print-message) (with-output-msg () (princ "Paramodulation is disabled, because there is a clause") (print-next) (princ "for symmetry of equality."))) (auto-change-flag para-from nil) (auto-change-flag para-into nil)) (move-from-usable-to-sos #'positive-clause?)) ;; (t (with-output-msg () (princ "Could not find any specific property here..."))) ))) (defun sos-has-pos-non-ground () (dolist (cl *sos*) (declare (type clause cl)) (if (and (positive-clause? cl) (not (ground-clause? cl))) (return-from sos-has-pos-non-ground t))) nil) (defun pn-automatic-settings-2 () ;; #|| (unless *current-psys* (with-output-panic-message-n (:p-pn-0020) ;;(format t "system error, no context in PigNose env.") )) ||# (move-axioms-to-usable *current-psys*) (setf *usable* (psystem-usable *current-psys*)) (setf *sos* nil) ;; #|| (when *demodulators* (with-output-chaos-error () (princ "`demodulators' list is not accepted in auto mode."))) ||# (when (or *weight-pick-given* *weight-purge-gen* *weight-terms*) (with-output-chaos-error () (princ "weight lists not accepted in auto mode."))) ;; (if (sos-has-pos-non-ground) (with-output-msg () (princ "Sos has positive nongound clause; therefore it is not changed.")) (progn (with-output-msg () (princ "Every positive clause in sos is gound (or sos is empty);") (print-next) (princ "therefore we move all positive usable clauses to sos.") (move-from-usable-to-sos #'positive-clause?)))) ;; find out some basic properties. (multiple-value-bind (propositional? horn? equality? symmetry? max-lits?) (clause-set-property :sos-also) ;; (report-clause-set-props propositional? horn? equality? symmetry? max-lits?) ;; (when (pn-flag print-message) (with-output-msg () (princ "selected strategy"))) ;; (cond (propositional? #|| (when (pn-flag print-message) (with-output-msg () (princ "All clauses are propositional; therefore we set the") (print-next) (princ "propositional flag and use orderd hyperresolution."))) ||# (auto-change-flag propositional t) (auto-change-flag hyper-res t)) ((= 1 max-lits?) ;; all unit #|| (when (pn-flag print-message) (with-output-msg () (princ "setting `pick-given-ration' to 2, because all clauses are units."))) ||# (auto-change-param pick-given-ratio 2)) (t #|| (when (pn-flag print-message) (with-output-msg () (princ "setting hyper-res, because there are nonunits."))) ||# (auto-change-flag hyper-res t) (when (or equality? (not horn?)) (when (pn-flag print-message) (with-output-msg () (princ "Setting ur-res, because this is a nonunit set containing") (print-next) (princ "either equality literals or non-Horn clauses."))) (auto-change-flag ur-res t)) (cond (horn? #|| (when (pn-flag print-message) (with-output-msg () (princ "Clearning `order-hyper', because all clases are Horn."))) ||# (auto-change-flag order-hyper nil)) (t #|| (when (pn-flag print-message) (with-output-msg () (princ "Setting `factor' and `unit-deletion', because there are non-Horn clauses."))) ||# (auto-change-flag factor t) (auto-change-flag unit-deletion t))) )) ;; (when equality? #|| (when (pn-flag print-message) (with-output-msg () (princ "Equality is present, so we set the `knuth-bendix' flag."))) ||# (auto-change-flag kb t) (when (> max-lits? 1) #|| (when (pn-flag print-message) (with-output-msg () (princ "As an incomplete hueristic, we paramodulate with units only."))) ||# (auto-change-flag para-from-units-only t) (auto-change-flag para-into-units-only t)) (when symmetry? #|| (when (pn-flag print-message) (with-output-msg () (princ "There is a clause for symmetry of equality, so it is") (print-next) (princ "assumes that equality is fully axiomatized; therefore,") (print-next) (princ "paramodulation is disabled."))) ||# (when (pn-flag print-message) (with-output-msg () (princ "Paramodulation is disabled, because there is a clause") (print-next) (princ "for symmetry of equality."))) (auto-change-flag para-from nil) (auto-change-flag para-into nil)) ))) (defun pn-automatic-settings-3 () ;; #|| (unless *current-psys* (with-output-panic-message-n (:p-pn-0020) ;; (format t "system error, no context in PigNose env.") )) ||# (move-axioms-to-usable *current-psys*) (setf *usable* (psystem-usable *current-psys*)) (setf *sos* nil) #|| (when *demodulators* (with-output-chaos-error () (princ "`demodulators' list is not accepted in auto1 mode."))) ||# (when *sos* (with-output-chaos-error () (princ "`sos' list is not accepted in auto mode."))) (when (or *weight-pick-given* *weight-purge-gen* *weight-terms*) (with-output-chaos-error () (princ "weight lists not accepted in auto mode."))) ;; find out some basic properties. ;; all input clauses are in usable; move to sos. (multiple-value-bind (propositional? horn? equality? symmetry? max-lits?) (clause-set-property) ;; report the result (report-clause-set-props propositional? horn? equality? symmetry? max-lits?) ;; (when (pn-flag print-message) (with-output-simple-msg () (princ "[selected strategy]:"))) ;; (cond (propositional? #|| (when (pn-flag print-message) (with-output-msg () (princ "The clause set is propositional. the stragety will be") (print-next) (princ "ordered hyperresolution with the propositional") (print-next) (princ "optimizations, with satellites in sos and nuclei in usable."))) ||# (auto-change-flag propositional t) (auto-change-flag hyper-res t) (move-from-usable-to-sos #'positive-clause?)) ;; ((and equality? (= 1 max-lits?)) #|| (when (pn-flag print-message) (with-output-msg () (princ "All clauses are units, and equality is present; the") (print-next) (princ "strategy will be knuth-bendix with positive clauses in sos."))) ||# ;; (auto-change-flag kb3 t) ************************** (auto-change-flag kb2 t) (when (every #'positive-clause? *usable*) (when (pn-flag print-message) (with-output-msg () (when (pn-flag print-message) (princ "There is no negative clause, so all clause lists will") (print-next) (princ "be printed at the end of the search.")))) (auto-change-flag print-lists-at-end t)) (move-from-usable-to-sos #'positive-clause?)) ((and (not horn?) (not equality?)) #|| (when (pn-flag print-message) (with-output-msg () (princ "This is a non-Horn set without equality. The strategy") (print-next) (princ "will be ordered hyper-res, unit deletion, and factoring,") (print-next) (princ "with stellites in sos and with nuclei in usable."))) ||# (auto-change-flag hyper-res t) (auto-change-flag factor t) (auto-change-flag unit-deletion t) (move-from-usable-to-sos #'positive-clause?)) ;; ((and horn? (not equality?)) #|| (when (pn-flag print-message) (with-output-msg () (princ "This is a Horn set without equality. The strategy will") (print-next) (princ "be hyperresolution, with satelites in sos and nuclei") (print-next) (princ "in usable."))) ||# (auto-change-flag hyper-res t) (auto-change-flag order-hyper nil) (move-from-usable-to-sos #'positive-clause?)) ;; ((and (not horn?) equality?) #|| (when (pn-flag print-message) (with-output-msg () (princ "This is a no-Horn set with equality. The strategy will be") (print-next) (princ "knuth-bendix, ordered hyper-res, factoring, and unit") (print-next) (princ "deletion, with positive clauses in sos and nonpositive") (print-next) (princ "clauses in usable"))) ||# ;; (auto-change-flag kb3 t) (auto-change-flag kb2 t) (auto-change-flag hyper-res t) (auto-change-flag unit-deletion t) (auto-change-flag factor t) (when symmetry? #|| (when (pn-flag print-message) (with-output-msg () (princ "There is a clause for symmetry of equality, so it is") (print-next) (princ "assumed that equality is fully axiomatized; therefore,") (print-next) (princ "paramodulation is disabled."))) ||# (when (pn-flag print-message) (with-output-msg () (princ "Paramodulation is disabled, because there is a clause") (print-next) (princ "for symmetry of equality."))) (auto-change-flag para-from nil) (auto-change-flag para-into nil)) (move-from-usable-to-sos #'positive-clause?)) ;; ((and horn? equality?) #|| (when (pn-flag print-message) (with-output-msg () (princ "This is a Horn set with equality. The strategy will be") (print-next) (princ "knuth-bendix and hyper-res, with positive clauses in") (print-next) (princ "sos and non-positive clauses in usable."))) ||# (auto-change-flag kb3 t) (auto-change-flag hyper-res t) (auto-change-flag order-hyper nil) (when symmetry? #|| (when (pn-flag print-message) (with-output-msg () (princ "There is a clause for symmetry of equality, so it is") (print-next) (princ "assumed that equality is fully axiomatized; therefore,") (print-next) (princ "paramodulation is disabled."))) ||# (when (pn-flag print-message) (with-output-msg () (princ "Paramodulation is disabled, because there is a clause") (print-next) (princ "for symmetry of equality."))) (auto-change-flag para-from nil) (auto-change-flag para-into nil)) (move-from-usable-to-sos #'positive-clause?)) ;; (t (with-output-msg () (princ "Could not find any specific property here..."))) ))) ;;; ;;; STATISTICS ;;; ========== (defun output-pn-stats (level) (declare (type fixnum level)) (print-pn-stat level)) (defun print-pn-stat (level &optional (stream *standard-output*)) (declare (type fixnum level)) (when (<= level 0) (return-from print-pn-stat nil)) (if (< 2 level) (print-pn-stat-detail stream) (print-pn-stat-brief stream))) (defun print-pn-stat-detail (stream) (with-output-simple-msg (stream) (format t "** PigNose statistics ------------------+") (format t "~%| clauses given~28t~10,'.:d~32t |" (pn-stat cl-given)) (format t "~%| clauses generated~28t~10,'.:d~32t |" (pn-stat cl-generated)) (when (or (pn-flag binary-res) (and (pn-flag prop-res) (or (pn-flag hyper-res) (pn-flag neg-hyper-res)))) (format t "~%| binary-res generated~28t~10,'.:d~32t |" (pn-stat binary-res-gen))) (when (pn-flag hyper-res) (format t "~%| hyper-res generated~28t~10,'.:d~32t |" (pn-stat hyper-res-gen))) (when (pn-flag neg-hyper-res) (format t "~%| neg-hyper-res gen.~28t~10,'.:d~32t |" (pn-stat neg-hyper-res-gen))) (when (pn-flag para-from) (format t "~%| para-from generated~28t~10,'.:d~32t |" (pn-stat para-from-gen))) (when (pn-flag para-into) (format t "~%| para-into generated~28t~10,'.:d~32t |" (pn-stat para-into-gen))) (when (pn-flag factor) (format t "~%| factors generated~28t~10,'.:d~32t |" (pn-stat factor-gen))) (when (pn-flag demod-inf) (format t "~%| demod-inf generated~28t~10,'.:d~32t |" (pn-stat demod-inf-gen))) (when (pn-flag ur-res) (format t "~%| ur-res generated~28t~10,'.:d~32t |" (pn-stat ur-res-gen))) (when (pn-flag back-unit-deletion) (format t "~%| back unit del. gen.~28t~10,'.:d~32t |" (pn-stat back-unit-del-gen))) ;; (format t "~%| demod rewrites~28t~10,'.:d~32t |" (pn-stat rewrites)) (format t "~%| clauses wt,lit.sk delete~28t~10,'.:d~32t |" (pn-stat cl-wt-delete)) (format t "~%| tautologies deleted~28t~10,'.:d~32t |" (pn-stat cl-tautology)) (format t "~%| clauses forward subsumed~28t~10,'.:d~32t |" (pn-stat cl-for-sub)) #|| (when (pn-flag ancestor-subsume) (format t "~%| cl not subsumed due to ancestor_subsume~28t~10,'.:d~32t |" (pn-stat cl-not-anc-subsumed))) ||# (format t "~%| (subsumed by sos)~28t~10,'.:d~32t |" (pn-stat for-sub-sos)) (format t "~%| unit deletions~28t~10,'.:d~32t |" (pn-stat unit-deletes)) (format t "~%| factor simplifications~28t~10,'.:d~32t |" (pn-stat factor-simplifications)) (format t "~%| clauses kept~28t~10,'.:d~32t |" (pn-stat cl-kept)) (when *hot* (format t "~%| (hot clauses kept)~28t~10,'.:d~32t " (pn-stat hot-kept))) (format t "~%| new demodulators~28t~10,'.:d~32t |" (pn-stat new-demods)) (format t "~%| empty clauses~28t~10,'.:d~32t |" (pn-stat empty-clauses)) (format t "~%| clauses back demodulated~28t~10,'.:d~32t |" (pn-stat cl-back-demod)) (format t "~%| clauses back subsumed~28t~10,'.:d~32t |" (pn-stat cl-back-sub)) (format t "~%| usable size~28t~10,'.:d~32t |" (pn-stat usable-size)) (format t "~%| sos size~28t~10,'.:d~32t |" (pn-stat sos-size)) (format t "~%| demodulators size~28t~10,'.:d~32t |" (pn-stat demodulators-size)) #|| (format t "~%| passive size~28t~10,'.:d~32t |" (pn-stat passive-size)) (format t "~%| hot size~28t~10,'.:d~32t |" (pn-stat hot-size)) ||# ;; (unless (= 0 (pn-stat demod-limits)) (format t "~%| demodulations stopped by limit~28t~10,'.:d~32t |" (pn-stat demod-limits))) (format t "~%+---------------------------------------+") ;; )) (defun print-pn-stat-brief (stream) (with-output-simple-msg (stream) (format t "** PigNose statistics ------------------+") (format t "~%| clauses given~28t~10,'.:d~32t |" (pn-stat cl-given)) (format t "~%| clauses generated~28t~10,'.:d~32t |" (pn-stat cl-generated)) (format t "~%| clauses kept~28t~10,'.:d~32t |" (pn-stat cl-kept)) (format t "~%| clauses forward subsumed~28t~10,'.:d~32t |" (pn-stat cl-for-sub)) (format t "~%| clauses back subsumed~28t~10,'.:d~32t |" (pn-stat cl-back-sub)) (format t "~%+---------------------------------------+") )) ;;; INFER-CLEAN-UP ;;; (defun infer-clean-up () #|| (when (pn-flag print-message) (with-output-simple-msg () (format t "**> end of PigNose ----------------------") (format t "~% "))) ||# ;; (when *current-psys* ;; NOTE: *passive* never changes (setf (psystem-usable *current-psys*) *usable*) (setf (psystem-sos *current-psys*) *sos*)) ;; (when (pn-flag print-lists-at-end) (print-usable-list) (print-sos-list) (print-passive-list) (print-demodulators-list)) ;; (when (pn-flag print-stats) (output-pn-stats (pn-parameter stats-level))) ;; ;; (clock-stop pn-global-run-time) ;; (setq *new-demodulator* nil) ) ;;; (defun print-usable-list () (format t "~% ~%** USABLE _______________________________") (with-output-simple-msg () (princ " ") (dolist (cl *usable*) (print-next) (print-clause cl))) (format t "~% ~%")) (defun print-sos-list () (format t "~% ~%** SOS __________________________________") (with-output-simple-msg () (princ " ") (dolist (cl *sos*) (print-next) (print-clause cl))) (format t "~% ~%")) (defun print-passive-list () (when *passive* (format t "~% ~%** PASSIVE ______________________________") (with-output-simple-msg () (princ " ") (dolist (cl *passive*) (print-next) (print-clause cl))) (format t "~% ~%"))) (defun print-demodulators-list (&optional (hash *demodulators*)) (let ((demods (get-all-demodulators hash t))) (when demods (format t "~% ~%** DEMODULATORS _________________________") (with-output-simple-msg () (princ " ") (dolist (demod demods) (print-next) (print-demodulator demod)))) (format t "~% ~%"))) ;;; ;;; for debug ;;; (defun print-sos () (dolist (cl *sos*) (print-next) (print-clause cl))) (defun print-usable () (dolist (cl *usable*) (print-next) (print-clause cl))) (defun print-literal-entry (data) (dolist (ent data) (let ((atom (literal-entry-atom ent)) (lit-cl (literal-clause (literal-entry-literal ent)))) (princ "atom = ") (if (paramod-p atom) (princ atom) (term-print atom)) (print-next) (princ "clause = ") (print-clause lit-cl) (print-next)))) (defun show-pos-literals () (with-output-simple-msg () (format t "** dump of *pos-literals*") (maphash #'(lambda (x y) (print-next) (format t "key=~s" x) (print-next) (format t "value=") (print-next) ;; (print-literal-entry y) (write y :circle t :array t :pretty t) (print-next) (princ "---")) *pos-literals*) )) (defun show-neg-literals () (with-output-simple-msg () (format t "** dump of *neg-literals*") (maphash #'(lambda (x y) (print-next) (format t "key=~s" x) (print-next) (format t "value=") (print-next) ;; (print-literal-entry y) (write y :circle t :array t :pretty t) (print-next) (princ "---")) *neg-literals*) )) (defun show-clash-pos-literals () (with-output-simple-msg () (format t "** dump of *clash-pos-literals*") (maphash #'(lambda (x y) (print-next) (format t "key=~s" x) (print-next) (format t "value=") (print-next) ;; (print-literal-entry y) (write y :circle t :array t :pretty t) (print-next) (princ "---")) *clash-pos-literals*) )) (defun show-clash-neg-literals () (with-output-simple-msg () (format t "** dump of *clash-neg-literals*") (maphash #'(lambda (x y) (print-next) (format t "key=~s" x) (print-next) (format t "value=") (print-next) ;; (print-literal-entry y) (write y :circle t :array t :pretty t) (print-next) (princ "---")) *clash-neg-literals*) )) (defun show-paramod-rules () (with-output-simple-msg () (format t "** dump of *paramod-rules*") (maphash #'(lambda (x y) (print-next) (format t "key=~s" x) (print-next) (format t "value=") (print-next) ;; (princ y) (write y :circle t :array t :pretty t) (print-next) (princ "---")) *paramod-rules*))) (defun show-full-lit-table () (with-output-simple-msg () (format t "** dump *full-lit-table*") (maphash #'(lambda (x y) (print-next) (format t "key=~s" x) (print-next) (princ "value= ") (print-next) (print-literal-entry y) (print-next) (princ "---")) *full-lit-table*))) (defun show-demodulators (&optional (mod (get-context-module t))) (unless mod (return-from show-demodulators nil)) (with-in-module (mod) (let* ((psys (module-proof-system mod)) (dmod-table (psystem-demodulators psys))) (format t "~%** demodulator table:") (maphash #'(lambda (x y) (print-next) (format t "key=~s" x) (print-next) (princ "value=") (dolist (z y) (print-next) (print-demodulator z)) (print-next) (princ "---")) dmod-table)))) ;;; REPORT-CLOCK ;;; (defun print-pn-times (&optional (stream *standard-output*)) ;; (with-output-simple-msg (stream) (format t "** run times in seconds -------------------") (when (pn-flag binary-res) (print-next) (format t "binary-res~20t~,3f sec." (time-in-seconds (pn-clock-value binary-time)))) (when (pn-flag hyper-res) (print-next) (format t "hyper-res-time~20t~,3f sec." (time-in-seconds (pn-clock-value hyper-time)))) (when (pn-flag neg-hyper-res) (print-next) (format t "neg-hyper-res time~20t~,3f sec." (time-in-seconds (pn-clock-value neg-hyper-time)))) (when (pn-flag para-into) (print-next) (format t "para-into time~20t~,3f sec." (time-in-seconds (pn-clock-value para-into-time)))) (when (pn-flag para-from) (print-next) (format t "para-from time~20t~,3f sec." (time-in-seconds (pn-clock-value para-from-time)))) (when (pn-flag back-unit-deletion) (print-next) (format t "back unit del time~20t~,3f sec." (time-in-seconds (pn-clock-value back-unit-del-time)))) (print-next) (format t "pre process time~20t~,3f sec." (time-in-seconds (pn-clock-value pre-proc-time))) (print-next) (format t " demod time ~20t~,3f sec." (time-in-seconds (pn-clock-value demod-time))) (print-next) (format t " order equalities~20t~,3f sec." (time-in-seconds (pn-clock-value order-eq-time))) (print-next) (format t " unit deletion~20t~,3f sec." (time-in-seconds (pn-clock-value unit-del-time))) (print-next) (format t " factor simplify~20t~,3f sec." (time-in-seconds (pn-clock-value factor-simp-time))) ;;(format t " wight cl time~20t,~3f sec." ;; (time-in-seconds (pn-clock-value weigh-cl-time))) ;; (format t " sort lits time~20t~,3f sec." ;; (time-in-seconds (pn-clock-value sort-lits-time))) (print-next) (format t " forward subsume~20t~,3f sec." (time-in-seconds (pn-clock-value for-sub-time))) (print-next) (format t " delete cl time~20t~,3f sec." (time-in-seconds (pn-clock-value del-cl-time))) (print-next) (format t " keep cl time~20t~,3f sec." (time-in-seconds (pn-clock-value keep-cl-time))) (print-next) (format t " conflict time~20t~,3f sec." (time-in-seconds (pn-clock-value conflict-time))) (print-next) (format t " new demod time~20t~,3f sec." (time-in-seconds (pn-clock-value new-demod-time))) (print-next) (format t "post process time~20t~,3f sec." (time-in-seconds (pn-clock-value post-proc-time))) (print-next) (format t " back demod time~20t~,3f sec." (time-in-seconds (pn-clock-value back-demod-time))) (print-next) (format t " back subsume time~20t~,3f sec." (time-in-seconds (pn-clock-value back-sub-time))) (print-next) (format t " factor time ~20t~,3f sec." (time-in-seconds (pn-clock-value factor-time))) (print-next) (format t "print clause time~20t~3f sec." (time-in-seconds (pn-clock-value print-clause-time))) (print-next) )) (defun print-pn-times-brief (&optional (stream *standard-output*)) ;; (with-output-simple-msg (stream) (format t "** run times in seconds -------------------") (when (pn-flag binary-res) (print-next) (format t "binary-res~20t~,3f sec." (time-in-seconds (pn-clock-value binary-time)))) (when (pn-flag hyper-res) (print-next) (format t "hyper-res-time~20t~,3f sec." (time-in-seconds (pn-clock-value hyper-time)))) (when (pn-flag neg-hyper-res) (print-next) (format t "neg-hyper-res time~20t~,3f sec." (time-in-seconds (pn-clock-value neg-hyper-time)))) (when (pn-flag para-into) (print-next) (format t "para-into time~20t~,3f sec." (time-in-seconds (pn-clock-value para-into-time)))) (when (pn-flag para-from) (print-next) (format t "para-from time~20t~,3f sec." (time-in-seconds (pn-clock-value para-from-time)))) (print-next) (format t "demod time ~20t~,3f sec." (time-in-seconds (pn-clock-value demod-time))) (print-next) (format t "forward subsume~20t~,3f sec." (time-in-seconds (pn-clock-value for-sub-time))) (print-next) (format t "back subsume time~20t~,3f sec." (time-in-seconds (pn-clock-value back-sub-time))) (print-next) (format t "print clause time~20t~3f sec." (time-in-seconds (pn-clock-value print-clause-time))) (print-next) )) ;;; for debug (defun report-pn-memory () (with-output-msg () (princ "TABLES:") (print-next) (princ "*clause-hash") (prin1 *clause-hash*) (print-next) (princ "*pos-literals*") (prin1 *pos-literals*) (print-next) (princ "*neg-literals*")(prin1 *neg-literals*) (print-next) (princ "*clash-pos-literals*") (prin1 *clash-pos-literals*) (print-next) (princ "*clash-neg-literals*")(prin1 *clash-neg-literals*) (print-next) (princ "*paramod-rules*")(prin1 *paramod-rules*) (print-next) (princ "*full-lit-table*")(prin1 *full-lit-table*) (print-next) (princ "*demodulators*")(prin1 *demodulators*) ;; clause counters (print-next) (format t "- clauses generated so far ~s" (psystem-clause-counter *current-psys*)) (print-next) (format t "- clauses deleted ~s" .pn-clause-deleted.) (print-next) (format t "- sos size = ~s" (length *sos*)) (print-next) (format t "- usable size = ~s" (length *usable*)) )) (defparameter *import-fopl-ast* (%import* :protecting (%modexp* "FOPL-CLAUSE"))) (defun include-FOPL (&optional (module *current-module*)) (when *include-fopl* (unless (assq *fopl-sentence-module* (module-all-submodules module)) (with-in-module (module) (eval-import-modexp *import-fopl-ast*)))) ) ;;; EOF cafeobj-1.5.4/BigPink/codes/clause.lisp0000644000000000000000000014671612605345045016420 0ustar rootroot;;;-*-Mode:LISP; Package: CHAOS; Base:10; Syntax:Common-lisp -*- ;;; ;;; Copyright (c) 2000-2015, Toshimi Sawada. All rights reserved. ;;; ;;; Redistribution and use in source and binary forms, with or without ;;; modification, are permitted provided that the following conditions ;;; are met: ;;; ;;; * Redistributions of source code must retain the above copyright ;;; notice, this list of conditions and the following disclaimer. ;;; ;;; * Redistributions in binary form must reproduce the above ;;; copyright notice, this list of conditions and the following ;;; disclaimer in the documentation and/or other materials ;;; provided with the distribution. ;;; ;;; THIS SOFTWARE IS PROVIDED BY THE AUTHOR 'AS IS' AND ANY EXPRESSED ;;; OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED ;;; WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ;;; ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY ;;; DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL ;;; DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE ;;; GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS ;;; INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, ;;; WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING ;;; NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS ;;; SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. ;;; ;;; (in-package :chaos) #|============================================================================= System:Chaos Module:BigPink File:formula.lisp =============================================================================|# #-:chaos-debug (declaim (optimize (speed 3) (safety 0) #-GCL (debug 0))) #+:chaos-debug (declaim (optimize (speed 1) (safety 3) #-GCL (debug 3))) ;;; ************************************* ;;; Utility functions on CLAUSE & LITERAL ;;; ************************************* ;;; IS-EQUALITY : term -> {:equal, :non-equal, :beh-equal} ;;; returns type of equality of the given term, nil if ;;; the root of the term is not equality. ;;; (defun is-equality (term) (declare (type term)) (and (term-is-application-form? term) (let ((head (term-head term))) (declare (type method head)) (if (method-is-of-same-operator *fopl-eq* head) :equal (if (method-is-of-same-operator *bool-equal* head) :cafe-equal (if (method-is-of-same-operator *bool-nonequal* head) :cafe-non-equal (if (method-is-of-same-operator *beh-equal* head) :cafe-beh-equal nil))))))) ;;; MARK-LITERAL : Literal -> Literal' ;;; set type of literal ;;; (defun mark-literal (lit) (declare (type literal lit) (values t)) (let* ((atom (literal-atom lit))) (cond ((eq *fopl-ans* (term-head atom)) (setf (literal-type lit) :answer)) (t (case (is-equality atom) (:equal (if (literal-sign lit) (setf (literal-type lit) :pos-eq) (setf (literal-type lit) :neg-eq))) (otherwise (setf (literal-type lit) :normal-atom)))) ))) ;;; COMPARE-LITERAL ;;; 1. positive > negative ;;; 2. answer > nonanswer ;;; 3. lexical ordering (see. compare term) ;;; (defun compare-literal (l1 l2) (declare (type literal l1 l2)) (if (and (positive-literal? l1) (negative-literal? l2)) :greater (if (and (negative-literal? l1) (positive-literal? l2)) :less (if (pn-flag propositional) (op-lex-precedence (term-head (literal-atom l1)) (term-head (literal-atom l2))) ;; (term-lex-order-vars (literal-atom l1) (literal-atom l2))) ))) ;;; LITERAL-EQUAL : Lteral1 Literal2 -> Bool ;;; (defun literal-equal (l1 l2) (declare (type literal l1 l2)) (and (eq (literal-sign l1) (literal-sign l2)) (term-is-similar? (literal-atom l1) (literal-atom l2)))) ;;; ================= ;;; CLAUSE Data Base ;;; ================= ;;; FIND-CLAUSE : ID Proof-system -> Clause ;;; (defun find-clause (id psys) (declare (type (or fixnum symbol simple-string) id) (type psystem) (values list)) (flet ((is-nat (tok) (and (stringp tok) (every #'digit-char-p tok)))) (with-in-module ((psystem-module psys)) (let ((clauses nil) (cl nil)) (cond ((or (fixnump id) (is-nat id)) (unless (fixnump id) (setq id (read-from-string id))) (setq cl (get-clause id (psystem-clause-hash psys))) (unless cl (with-output-chaos-error ('no-such-clause) (format t "no such clause with Id ~d" id))) (push cl clauses)) ((stringp id) (setq cl (get-bound-value id)) (unless cl (with-output-chaos-error ('unboud) (format t "cound not find let variable ~a" id))) ;; find every clause derived from cl (maphash #'(lambda (key clause) (declare (ignore key)) (if (term-eq cl (clause-formula clause)) (push clause clauses))) (psystem-clause-hash psys))) ;; ((symbolp id) ;; axiom label (let ((axioms (get-all-rules-labelled *current-module* id))) ;; find every clause derived from axioms (dolist (ax axioms) #|| (maphash #'(lambda (key clause) (declare (ignore key)) (if (eq (clause-axiom clause) ax) (push clause clauses))) (psystem-clause-hash psys)) ||# (dolist (clause (psystem-axioms psys)) (when (eq (clause-axiom clause) ax) (push clause clauses)))))) ;; (t (with-output-chaos-error ('internal-error) (format t "find-clause got illegual arg ~a" id)))) clauses)))) ;;; CLEAR-CLAUSE-HASH ;;; clean up clause hash table ;;; (defun clear-clause-hash (psys) (declare (type psystem psys)) (clrhash (psystem-clause-hash psys)) (clrhash (psystem-demodulators psys))) ;;; DELETE-CLAUSE ;;; (defun delete-clause (cl psys) (declare (type clause cl) (type psystem psys)) (when (<= 0 (clause-id cl)) (if .debug-pn-memory. (if (remhash (clause-id cl) (psystem-clause-hash psys)) (incf .pn-clause-deleted.) (with-output-chaos-warning () (princ "deleting unregistered clause :") (print-next) (print-clause cl))) (remhash (clause-id cl) (psystem-clause-hash psys))) )) (defun delete-clause! (cl-id psys) (declare (type fixnum cl-id) (type psystem psys) (values t)) (when (<= 0 cl-id) (if .debug-pn-memory. (when (remhash cl-id (psystem-clause-hash psys)) (incf .pn-clause-deleted.)) (remhash cl-id (psystem-clause-hash psys))) )) ;;; CLAUSE CONSTRUCTOR ;;; ------------------ (defun new-clause (psys &optional formula) (declare (type psystem psys) (type (or null term) formula) (values clause)) (let ((cl (make-clause :id (psystem-clause-counter psys)))) (setf (gethash (clause-id cl) (psystem-clause-hash psys)) cl) (incf (psystem-clause-counter psys)) (when formula (setf (clause-formula cl) formula)) cl)) #|| (defun new-clause (psys &optional formula) (declare (ignore psys) (type (or null term) formula) (values clause)) (let ((cl (make-clause))) ;; (setf (gethash (clause-id cl) (psystem-clause-hash psys)) cl) ;; (incf (psystem-clause-counter psys)) (when formula (setf (clause-formula cl) formula)) cl)) (defun register-clause (cl psys) (setf (clause-id cl) (psystem-clause-counter psys)) (incf (psystem-clause-counter psys)) (setf (gethash (clause-id cl) (psystem-clause-hash psys)) cl) cl) ||# (defun reset-clause-db (psys) (declare (type psystem psys)) (setf (psystem-clause-counter psys) 1) (clear-clause-hash psys) (setq .pn-clause-deleted. 0) (setq *sk-function-num* nil) (pn-reset-var-num) ) ;;; COPY-CLAUSE ;;; (defun copy-clause (cl &optional (psys *current-psys*) (literal-modifier nil)) (declare (type clause cl) (type psystem psys) (type (or null (function (literal) literal)) literal-modifier) (values clause)) (let ((new-vars-list nil) (vars nil) (lits nil) (new-clause nil)) ;; gather variables (setq vars (clause-variables cl)) ;; make new variables for each (setq new-vars-list (make-var-mapping vars)) ;; make copy of literals (setq lits (mapcar #'(lambda (x) (if literal-modifier (funcall literal-modifier x) (copy-literal x new-vars-list))) (clause-literals cl))) ;; make new clause (setq new-clause (new-clause psys (clause-formula cl))) (setf (clause-literals new-clause) lits) (dolist (l (clause-literals new-clause)) (setf (literal-clause l) new-clause)) ;; new-clause)) ;;; MAKE-CLAUSE-SHALLOW-COPY ;;; (defun make-clause-shallow-copy (cl &optional lits-to-be-deleted) (declare (type clause cl) (type list lits-to-be-deleted) (values clause)) (let ((cl-new (make-clause :parents (clause-parents cl) :id (clause-id cl) :pick-weight (clause-pick-weight cl) :attributes (clause-attributes cl) :type (clause-type cl) :bits (clause-bits cl) :heat-level (clause-heat-level cl) :formula (clause-formula cl)))) (declare (type clause cl-new)) (let ((lits nil)) (declare (type list lits)) (if lits-to-be-deleted (progn (dolist (lit (clause-literals cl)) (declare (type literal lit)) (unless (memq lit lits-to-be-deleted) (push lit lits))) (setq lits (nreverse lits))) (setq lits (clause-literals cl))) (setf (clause-literals cl-new) lits) cl-new))) ;;; MAKE-DUMMY-CLAUSE ;;; (defun make-dummy-clause (cl lit) (declare (type clause cl) (type literal lit) (values clause literal fixnum)) (let ((new-vars-list nil) (vars nil) (lits nil) (new-clause nil) (new-cl-id -1) (tlit nil)) (declare (type list new-vars-list vars lits) (type (or null clause) new-clause) (type fixnum new-cl-id) (type (or null literal) tlit)) ;; gather variables (setq vars (clause-variables cl)) (unless vars (return-from make-dummy-clause (values cl lit new-cl-id))) ;; make new variables for each (setq new-vars-list (make-var-mapping vars)) ;; make copy of literals (setq lits (mapcar #'(lambda (x) (let ((nlit (copy-literal x new-vars-list))) (when (eq x lit) (setq tlit nlit)) nlit)) (clause-literals cl))) ;; make new clause (setq new-clause (new-clause *current-psys* (clause-formula cl))) (setq new-cl-id (clause-id new-clause)) (push (cons :dummy-clause new-cl-id) (clause-attributes new-clause)) (setf (clause-literals new-clause) lits) (dolist (l (clause-literals new-clause)) (setf (literal-clause l) new-clause)) ;; (setf (clause-id new-clause) (clause-id cl)) (values new-clause tlit new-cl-id) )) ;;; ======================= ;;; BASIC CLAUSE OPERATIONS ;;; ======================= ;;; LITERAL-NUMBER : Literal -> Nat ;;; lit is which which (excluding answers) in the clause ;;; that contains it. ;;; (defun literal-number (lit) (declare (type literal lit) (values fixnum)) (let ((i 1)) (declare (type fixnum i)) (dolist (l (clause-literals (literal-clause lit))) (declare (type literal l)) (when (eq lit l) (return)) (unless (answer-literal? lit) (incf i))) i)) ;;; ITH-LITERAL : Clause Nat -> Literal ;;; returns the i-th (non-answer) literal ;;; (defun ith-literal (clause n) (declare (type clause clause) (type fixnum n) (values (or null literal))) (let ((i 0)) (declare (type fixnum i)) (dolist (lit (clause-literals clause)) (declare (type literal lit)) (unless (answer-literal? lit) (incf i)) (when (= i n) (return-from ith-literal lit))) nil)) ;;; CL-DELETE (defun cl-delete (clause) (declare (type clause clause)) (setf (clause-literals clause) nil) (setf (clause-attributes clause) nil) (setf (clause-parents clause) nil) (setf (clause-container clause) nil) (delete-clause clause *current-psys*)) (defun set-clause-container (list clause) (declare (type list list) (type clause clause) (values symbol)) (if (eq list *usable*) (setf (clause-container clause) :usable) (if (eq list *sos*) (setf (clause-container clause) :sos) ;; TODO (setf (clause-container clause) :other))) ) ;;; APPEND-CLAUSE : List Clause -> List' ;;; (defun append-clause (list clause) (declare (type symbol list) (type clause clause) (values t)) (case list (:sos (if *sos* (setf (cdr (last *sos*)) (cons clause nil)) (setq *sos* (list clause))) (incf (pn-stat sos-size))) (:usable (if *usable* (setf (cdr (last *usable*)) (cons clause nil)) (setq *usable* (list clause))) (incf (pn-stat usable-size))) (otherwise #|| (with-output-panic-message-n (:p-gl-0010 (list 'append-clause list)) ;; (format t "append-clause: not yet ~s" list) ) ||# )) (setf (clause-container clause) list) ) ;;; PREPEND-CLAUSE : List Clause -> List' ;;; (defun prepend-clause (list clause) (declare (type symbol list) (type clause clause)) (let ((real-list nil)) (declare (type list real-list)) (case list (:sos (setq real-list *sos*) (incf (pn-stat sos-size))) (:usable (setq real-list *usable*) (incf (pn-stat usable-size))) #|| (:demodulators (setq real-list *demodulators*) (incf (pn-stat demodulators-size))) ||# ) #|| (unless real-list (with-output-panic-message-n (:p-pn-0040) ;; (princ "prepend-clause: nil") )) ||# (setf (cdr real-list) (cons (car real-list) (cdr real-list))) (setf (car real-list) clause) (setf (clause-container clause) list))) ;;; INSERT-BEFORE-CLAUSE : List Clause Clause-new -> List' ;;; (defun insert-before-clause (list c1 c-new) (declare (type symbol list) (type clause c1 c-new) (values t)) (let ((l nil)) (declare (type list l)) (case list (:sos (setq l *sos*) (incf (pn-stat sos-size))) (:usable (setq l *usable*) (incf (pn-stat usable-size))) ) (let ((l-sub (member c1 l :test #'eq))) (unless l-sub (with-output-panic-message () (princ "insert-before-clause: given illegal key"))) (setf (cdr l-sub) (cons (car l-sub) (cdr l-sub))) (setf (car l-sub) c-new) (setf (clause-container c-new) list)))) ;;; INSERT-AFTER-CLAUSE : List Clause Clause-new -> List' ;;; (defun insert-after-clause (list c1 c-new) (declare (type symbol list) (type clause c1 c-new) (values t)) (let ((l nil)) (declare (type list l)) (case list (:sos (setq l *sos*) (incf (pn-stat sos-size))) (:usable (setq l *usable*) (incf (pn-stat usable-size))) #|| (:demodulators (setq l *demodulators*) (incf (pn-stat demodulators-size))) ||# ) (let ((pos (position c1 l)) (l-sub nil)) (unless pos (with-output-panic-message () (princ "insert-after-clause: given illegal key"))) (setq l-sub (nthcdr (1+ pos) l)) (if l-sub (progn (setf (cdr l-sub) (cons (car l-sub) (cdr l-sub))) (setf (car l-sub) c-new)) (nconc l (list c-new))) (setf (clause-container c-new) list)))) (defun delete-from-list (list clause) (declare (type symbol list) (type clause clause) (values t)) (case list (:sos (decf (pn-stat sos-size)) (setq *sos* (delete clause *sos*))) (:usable (decf (pn-stat usable-size)) (setq *usable* (delete clause *usable*))) #|| (t (with-output-panic-message () (format t "delete-from-list: failed. ~s" list) (print-next) (print-clause clause) (break))) ||# (t nil) ) (setf (clause-container clause) nil) ) ;;; CLAUSE-FULL-UN-INDEX ;;; (defun clause-full-un-index (clause) (declare (type clause clause)) (un-index-all-literals clause) (un-index-demodulator clause) (when (eq (clause-container clause) :usable) (un-index-clash-literals clause)) (delete-from-list (clause-container clause) clause) ) (defun clause-full-un-index-slow (clause) (declare (type clause clause)) (un-index-all-literals-slow clause) (un-index-demodulator clause) (when (eq (clause-container clause) :usable) (un-index-clash-literals-slow clause)) (delete-from-list (clause-container clause) clause) ) ;;; CLAUSE-ALL-PARENTS ;;; (defun clause-all-parents (clause &optional (psys *current-psys*)) (declare (type clause clause) (type psystem psys) (values list)) (let ((parents nil) (clause-hash (psystem-clause-hash psys)) (so-far nil)) (labels ((get-parents (c) (let ((plist nil)) (dolist (pl (clause-parents c)) (dolist (pid pl) (when (and (integerp pid) (not (member pid so-far))) (push pid so-far) (let ((pc (get-clause pid clause-hash))) (if pc (pushnew pc plist) (with-output-chaos-warning () (format t "clause ~a is missing, proof incomplete." pid))) )))) (setq parents (nconc parents plist)) (dolist (p plist) (get-parents p))))) (get-parents clause) (delete-duplicates parents)))) ;;; ORDERED-SUB-CLAUSE : C D -> Bool ;;; t iff each literal of C occurs in D. ;;; literals assumed to be ordered by compare-literal. ;;; (defun ordered-sub-clause (c d) (declare (type clause c d)) (let ((lt1s (clause-literals c)) (lt2s (clause-literals d))) (declare (type list lt1s lt2s)) (do ((l1 (car lt1s) (car lt1s)) (l2 (car lt2s) (car lt2s))) ((or (null lt1s) (null lt2s))) (declare (type (or null literal) l1 l2)) (let ((cmp (compare-literal l1 l2))) (declare (type symbol cmp)) (case cmp (:same (setq lt1s (cdr lt1s)) (setq lt2s (cdr lt2s))) (:greater (setq lt2s (cdr lt2s))) (:less (setq lt2s nil)) (otherwise (with-output-panic-message () (format t "ordered-sub-clause: not total.")))))) (null lt1s))) ;;; CLAUSE-EQUAL C1 C2 : -> Bool ;;; (defun clause-equal (c1 c2) (and (clause-p c1) (clause-p c2) (let ((ll1 (clause-literals c1)) (ll2 (clause-literals c2))) (declare (type list ll1 ll2)) (and (= (the fixnum (length ll1)) (the fixnum (length ll2))) (every #'(lambda (x) (find x ll2 :test #'literal-equal)) ll1))))) ;;; SUB-CLAUSE? : C D -> Bool ;;; - t iff each literal of c occurs in d. ;;; - literals are not assumed to be ordered. ;;; - treats any answer literals as ordinaly literals. ;;; (defun sub-clause (c d) (declare (type clause c d)) (dolist (lit (clause-literals c)) (declare (type literal lit)) (let ((find? (find-if #'(lambda (x) (and (eq (literal-sign lit) (literal-sign x)) (term-is-identical (literal-atom lit) (literal-atom x)))) (clause-literals d)))) (unless find? (return-from sub-clause nil)))) t) ;;; SORT-LITERALS : Clause -> Clause' ;;; (defun sort-literals (c) (declare (type clause c) (values clause)) (setf (clause-literals c) (sort (clause-literals c) #'(lambda (x y) (declare (type literal x y)) ;; (not (eq (compare-literal x y) :less)) (eq (compare-literal x y) :less)) )) c) ;;; ********* ;;; UTILITIES ;;; ********* ;;; NEXT-CLAUSE-NUM ;;; (defun next-clause-num (&optional (psys *current-psys*)) (declare (type psystem psys) (values fixnum)) (psystem-clause-counter psys)) (defmacro sos-last-clause () `(car (last *sos*))) ;;; ;;; CLAUSE-IS-BUILTIN-DEMOD ;;; (defvar .use-bi-axiom-as-demod. nil) #|| (defun clause-is-builtin-demod (cl) (declare (type clause cl)) (or (let ((axiom (clause-axiom cl))) (and axiom (let ((labels (axiom-labels axiom))) (memq :bdemod labels)))) (and (unit-clause? cl) (let ((lit (car (clause-literals cl)))) (declare (type literal lit)) (and (positive-eq-literal? lit) (let ((atom (literal-atom lit))) (declare (type term atom)) (and (term-is-lisp-form? (term-arg-2 atom)) (if (sort= (term-sort (term-arg-1 atom)) *bool-sort*) (method-is-meta-demod (term-head (term-arg-1 atom))) t))) ))))) ||# (defun clause-is-builtin-demod (cl) (declare (type clause cl)) (let ((axiom (clause-axiom cl))) (and axiom (or (let ((labels (axiom-labels axiom))) (member ":BDEMOD" labels :test #'equal)) (and .use-bi-axiom-as-demod. (let ((rhs (rule-rhs axiom))) (term-is-lisp-form? rhs))))))) ;;; CLAUSE-AXIOM-DECLARED-AS-DEMODULATOR ;;; returns t iff the corresponding axiom of the clause ;;; is declared as demodulator. ;;; (defun clause-axiom-declared-as-demodulator (cl) (declare (type clause cl)) (let ((ax (clause-axiom cl))) (and ax (let ((lab (axiom-labels ax))) #|| (with-output-simple-msg () (format t "label=~s" lab)) ||# (and (or (memq '|:DEMOD| lab) (member ":DEMOD" lab :test #'equal)) (if (memq (axiom-type ax) '(:pignose-axiom :pignose-goal)) (progn (with-output-chaos-warning () (princ "axiom is invalid for demodulator.") (print-next) (print-chaos-object ax)) nil) t)))))) ;;; CL-UNIQUE-VARIABLES ;;; (defun cl-unique-variables (clause) (declare (type clause clause)) (if (and (unit-clause? clause) (eq-literal? (car (clause-literals clause))) (term-is-lisp-form? (term-arg-2 (literal-atom (car (clause-literals clause)))))) clause (let ((vars (clause-variables clause)) (subst nil)) (declare (type list vars subst)) (dolist (v vars) (declare (type term v)) (push (cons v (pn-make-new-variable v)) subst)) (dolist (lit (clause-literals clause)) ;; (replace-term-vars (literal-atom lit) subst)) (setf (literal-atom lit) (apply-subst subst (literal-atom lit)))) clause))) ;;; UNIT-DELETION : Clause -> Bool ;;; - perform unit deletion ;;; - delete any literals that are subsumed by a unit with opossite sign. ;;; - returns t if any deletions occur. ;;; (defun unit-deletion (clause) (declare (type clause clause)) (let ((lits-to-be-deleted nil) (units nil)) (declare (type list lits-to-be-deleted units)) (dolist (lit (clause-literals clause)) (declare (type literal lit)) (let ((is-db (if (positive-literal? lit) *neg-literals* *pos-literals*)) (atom (literal-atom lit))) (declare (type hash-table is-db) (type term atom)) (let (;; (lit-entry (get-literal-entry-from-atom is-db atom)) (lit-entry (is-fetch atom is-db)) (found? nil)) (declare (type list lit-entry)) #|| (when (and (negative-literal? lit) *universal-symmetry*) (push (car (clause-literals *universal-symmetry*)) lit-entry)) ||# (dolist (data lit-entry) (dolist (lit2 data) (let* ( ; (lit2 (literal-entry-literal data)) (d (literal-clause lit2))) (declare (type literal lit2) (type clause d)) (when (= (the fixnum (num-literals d)) 1) (multiple-value-bind (subst no-match e-match) ; (pn-match (literal-entry-atom data) atom) (pn-match (literal-atom lit2) atom) (declare (ignore subst e-match)) (unless no-match ;; subsumes.... (setq found? t) (push (clause-id d) units) (incf (pn-stat unit-deletes)) (when (pn-flag debug-infer) (with-output-simple-msg () (format t "*unit-del: ~d subsumes ~d" (clause-id d) (clause-id clause)))) (return nil))))))) (when found? ;; this literal should be deleted. (push lit lits-to-be-deleted)) ))) ;; (if lits-to-be-deleted (progn (when (pn-flag debug-infer) (with-output-simple-msg () (format t "- delete literals ~{~s ~}" lits-to-be-deleted)) ) (setf (clause-literals clause) (set-difference (clause-literals clause) lits-to-be-deleted)) (setf (clause-parents clause) (nconc (clause-parents clause) (list (cons :unit-del-rule (nreverse units))))) t) nil))) ;;; BACK-UNIT-DELETION : Clause Bool -> Bool ;;; assumes given clause is a unit clause. ;;; (defun back-unit-deletion (clause input?) (declare (type clause clause)) (let* ((c-lit (ith-literal clause 1)) (c-atom (literal-atom c-lit)) (db (if (positive-literal? c-lit) *neg-literals* *pos-literals*)) (source-list nil)) (declare (type literal c-lit) (type term c-atom) (type hash-table db) (type symbol source-list)) (let (;; (entry (get-literal-entry-from-atom db c-atom)) (entry (is-fetch c-atom db)) ) (dolist (lit-ent entry) (dolist (lit lit-ent) (setq source-list (clause-container clause)) (when source-list (multiple-value-bind (subst no-match e-match) (pn-match c-atom (literal-atom lit) nil) (declare (ignore e-match) (type list subst)) (unless no-match (let ((resolvent (build-bin-res c-lit lit subst))) (declare (type clause resolvent)) (setf (clause-parents resolvent) (nconc (clause-parents resolvent) (list (list ':back-unit-del-rule)))) ;; (when (eq source-list :usable) (set-bit (clause-bits resolvent) scratch-bit) (print-clause resolvent)) ;; (pre-process resolvent input? :sos) )))))) ))) ;;; MERGE-CLAUSE : Clause -> Clause' ;;; - merge identical literals ;;; (defun merge-clause (clause) (declare (type clause clause)) (setf (clause-literals clause) (delete-duplicates (clause-literals clause) :test #'(lambda (x y) (and (eq (literal-sign x) (literal-sign y)) (term-is-identical (literal-atom x) (literal-atom y)))))) clause) ;;; CL-TAUTOLOGY? : Clause -> Bool ;;; returns t iff clause is a tautology ;;; (defun cl-tautology? (c) (declare (type clause c)) (let ((taut nil)) (do* ((literals (clause-literals c) (cdr literals)) (l1 (car literals) (car literals)) (rest (cdr literals) (cdr literals))) ((or (null literals) taut) taut) (declare (type list literals) (type (or null literal) l1) (type list rest)) (let ((l1-atom (literal-atom l1))) (declare (type term l1-atom)) (dolist (l2 rest) (declare (type literal l2)) (setq taut (and (not (eq (literal-sign (the literal l1)) (literal-sign l2))) (term-is-identical l1-atom (literal-atom l2)))) (when taut (return))))) ;; taut)) ;;; PROOF-WEIGHT : Clause -> Fixnum ;;; - returns the number of leaves, i.e., occurrences of input clauses. ;;; in the proof tree. ;;; (defun proof-weight (clause psys) (declare (type clause clause) (type psystem psys) (values fixnum)) (let ((sum 0)) (declare (type fixnum sum)) (dolist (ips (clause-parents clause)) (declare (type list ips)) (dolist (ip ips) (declare (type fixnum ip)) (let ((d (get-clause ip (psystem-clause-hash psys)))) (declare (type (or null clause) d)) (when d (setq sum (+ sum (proof-weight d psys))))))) (if (= 0 sum) 1 sum))) ;;; PROOF-LENGTH : CLAUSE -> NAT ;;; (defun proof-length (clause) (declare (ignore clause)) (with-output-simple-msg () (format t "proof-length: NOT YET, returns 0.")) 0) ;;; RENAME-CLAUSE-VARIABLES ;;; renae the variables of ta clause. ;;; return nil if more than *CLAUSEMAX-VARIABLES* distinct variables. ;;; (defun rename-clause-variables (clause) (declare (type clause clause)) (let ((ok t)) (let ((*cl-vars-so-far* nil)) (declare (special *cl-vars-so-far*) (type list *cl-vars-so-far*)) (dolist (lit (clause-literals clause)) (declare (type literal lit)) (unless (rename-variables-in-term (literal-atom lit)) (setq ok nil)))) ok)) ;;; do we really need this? ;;; (defun rename-variables-in-term (term) (declare (type term term) (values term)) term) ;;; ------------ ;;; FIND CLAUSES ;;; ------------ (defun list-name2-list (l) (declare (type symbol l) (values list)) (case l (:sos *sos*) (:usable *usable*) (:demodulators *demodulators*) (otherwise nil))) (defun find-lightest-clause (l &optional delete) (declare (type symbol l)) (let ((list (list-name2-list l))) (declare (type list list)) (if list (let* ((felt (car list)) (wm (clause-pick-weight felt)) (rl (list felt)) (res nil)) (declare (type fixnum wm)) (dolist (c (cdr list)) (let ((cwt (clause-pick-weight c))) (declare (type fixnum cwt)) (if (< cwt wm) (setq wm cwt rl (list c)) (if (= cwt wm) (push c rl))))) (if (and (pn-flag randomize-sos) (cdr rl)) (let ((sel (random (length rl)))) (declare (type fixnum sel)) (setq res (nth sel rl)) (when (pn-flag debug-sos) (with-output-simple-msg () (princ "** given clause candidates")) (dotimes (x (length rl)) (with-output-simple-msg () (format t "(#~d)" x) (print-clause (nth x rl)) (print-next))) (with-output-simple-msg () (format t "++ selected (~#d)" sel)))) (setq res (car (nreverse rl)))) (when (and res delete) (delete-from-list l res)) ;; res) nil))) ;;; FIND-GIVEN-CLAUSE ;;; (defun find-given-clause (&optional delete) (let ((given-clause nil)) (declare (type (or null clause) given-clause)) (cond ((pn-flag sos-queue) (setq given-clause (pop *sos*))) ((pn-flag sos-stack) (setq given-clause (car (last *sos*))) (setq *sos* (nbutlast *sos*))) ((not (= (pn-parameter pick-given-ratio) -1)) (if (= 0 (mod (pn-stat cl-given) (1+ (pn-parameter pick-given-ratio)))) (setq given-clause (pop *sos*)) (setq given-clause (find-lightest-clause :sos delete)))) (t (setq given-clause (find-lightest-clause :sos delete)))) given-clause)) ;;; EXTRACT-GIVEN-CLAUSE ;;; (defun extract-given-clause () (declare (values (or null clause))) (find-given-clause :delete)) ;;; WEIGHT-CLAUSE ;;; - weight a clause ;;; (defun weight-clause (clause) (declare (type clause clause) (values fixnum)) (let ((neg-weight-val (pn-parameter neg-weight)) (w 0)) (declare (type fixnum w neg-weight-val)) (dolist (lit (clause-literals clause)) (declare (type literal lit)) (incf w (the fixnum (term-weight (literal-atom lit)))) (when (negative-literal? lit) (incf w neg-weight-val))) w)) ;;; ================ ;;; SUBSUMTION TESTS ;;; ================ ;;; SUBSUME? : C D -> Bool ;;; non-nil iff clause C subsumes clause D, i.e, ;;; there exists a substitution sigma(C) <= D. ;;; #|| (defun subsume? (c d &optional (factor? nil)) (declare (type clause c d) (ignore factor?)) ;; avoid compare itself. ;; (when (eq c d) (return-from subsume? nil)) ;; if factoring, don't let long clauses subsume shorter ones. ;; (when (and factor? ;; (> (num-literals c) (num-literals d))) ;; (return-from subsume? nil)) ;; (let ((c-literals (clause-literals c)) (d-literals (clause-literals d)) (new-subst nil) (subst nil) (no-match nil) (e-match nil)) (declare (type list c-literals d-literals new-subst subst)) (unless c-literals (return-from subsume? nil)) (dolist (lit c-literals) (declare (type literal lit)) (unless (answer-literal? lit) (let ((c-atom (literal-atom lit)) (sign (literal-sign lit))) (declare (type term c-atom)) (unless (find-if #'(lambda (x) (cond ((eq sign (literal-sign x)) (multiple-value-setq (new-subst no-match e-match) (pn-match c-atom (literal-atom x) subst )) (if (not no-match) (progn (setq subst new-subst) t) nil)) ;; (t nil))) d-literals) (return-from subsume? nil))))) ;; every literal of c matches some literal of d ;; thus c subsumes d. (when (pn-flag debug-infer) (with-output-simple-msg () (princ "*subsume?: ") (print-clause c) (print-next) (princ " => ") (print-next) (print-clause d) ) ) t)) ||# (defparameter .MAX-LITERALS. 100) (defvar .map-array. (make-array .MAX-LITERALS.)) (defun map-rest (c d subst) (let* ((c-lits (clause-literals c)) (c-lit (car c-lits)) (subsumed nil) (i 0)) (declare (type fixnum i)) (setq c-lit (car c-lits)) (loop (when (or (null c-lit) (not (aref .map-array. i))) (return nil)) (setq c-lits (cdr c-lits)) (setq c-lit (car c-lits)) (incf i)) (unless c-lit ;; all literals of c mapped, so c subsumes d (return-from map-rest t)) (if (answer-literal? c-lit) (progn (setf (svref .map-array. i) t) (setq subsumed (map-rest c d subst)) (setf (svref .map-array. i) nil)) (let ((c-atom (literal-atom c-lit))) (setf (aref .map-array. i) t) ; mark as mapped (dolist (d-lit (clause-literals d)) (let ((d-atom (literal-atom d-lit))) (when (eq (literal-sign c-lit) (literal-sign d-lit)) (multiple-value-bind (new-subst no-match e-match) (pn-match c-atom d-atom subst) (declare (ignore e-match)) (unless no-match (when (map-rest c d new-subst) (setq subsumed t) (return))))))) (setf (aref .map-array. i) nil))) ; unmark ;; subsumed)) (defun subsume? (c d) (declare (type clause c d)) (dotimes (x (num-literals c)) (setf (svref .map-array. x) nil)) (if (map-rest c d nil) (progn ;; every literal of c matches some literal of d ;; thus c subsumes d. (when (pn-flag debug-infer) (with-output-simple-msg () (princ "*subsume?: ") (print-clause c) (print-next) (princ " => ") (print-next) (print-clause d))) t) nil)) ;;; FORWARD-SUBSUME : Clause -> Clause ;;; attemps to find a clause that subsumes given clause. ;;; (defun for-sub-prop (d) (declare (type clause d)) (dolist (c *usable*) (declare (type clause c)) (when (ordered-sub-clause c d) (return-from for-sub-prop c))) (dolist (c *sos*) (declare (type clause d)) (when (ordered-sub-clause c d) (return-from for-sub-prop c))) nil) #|| (defun forward-subsume (d) (declare (type clause d) (values (or null clause))) (when (pn-flag propositional) (return-from forward-subsume (for-sub-prop d))) (let ((factor? (pn-flag factor)) (d-size 0) (c nil)) ; result (declare (type fixnum d-size) (type (or null clause) c)) ;; if factor, don't let long clauses subsume short. (when factor? (setq d-size (num-literals d))) ;; (let ((subsumed nil)) (dolist (lit (clause-literals d)) (declare (type literal lit)) (when subsumed (return nil)) (let ((db (if (positive-literal? lit) *pos-literals* *neg-literals*))) (declare (type hash-table db)) (let* ((atom (literal-atom lit)) ;; (data (get-literal-entry-from-atom db atom)) (data (is-fetch atom db)) ) (declare (type term atom)) (dolist (cc data) (dolist (c-lit cc) (when subsumed (return nil)) (let ((c-size 0)) (declare (type literal c-lit) (type fixnum c-size)) (setq c (literal-clause c-lit)) (setq c-size (num-literals c)) (when (and (not (eq c d)) (= (literal-number c-lit) 1) (or (not factor?) (<= c-size d-size))) (setq subsumed (subsume? c d)))))) #|| NOT YET (when (and subsumed (pn-flag ancestor-subsume)) ; no flag ancestor-subsume now. (renumber-variables d) (setq subsumed (anc-subsume c d)) (unless subsumed (incf (pn-stat cl-not-anc-subsumed))) ) ||# ))) ;; (if subsumed c nil)))) ||# (defun forward-subsume (d) (declare (type clause d) (values (or null clause))) (when (pn-flag propositional) (return-from forward-subsume (for-sub-prop d))) (let ((factor? (pn-flag factor)) (d-size 0)) (declare (type fixnum d-size)) ;; if factor, don't let long clauses subsume short. (when factor? (setq d-size (num-literals d))) ;; (let ((subsumed nil)) (setq subsumed (block exit (dolist (lit (clause-literals d)) (declare (type literal lit)) (let ((db (if (positive-literal? lit) *pos-literals* *neg-literals*))) (let* ((atom (literal-atom lit)) (data (is-fetch atom db)) ) (declare (type term atom)) #|| (dolist (cc data) (dolist (c-lit cc) (let ((c-size 0) (c nil)) (declare (type literal c-lit) (type fixnum c-size)) (setq c (literal-clause c-lit)) (setq c-size (num-literals c)) (when (and (not (eq c d)) (or (not factor?) (<= c-size d-size))) (when (subsume? c d) (return-from exit c)))))) ||# (foreach-dentry (c-lit data) (let ((c-size 0) (c nil)) (declare (type literal c-lit) (type fixnum c-size)) (setq c (literal-clause c-lit)) (setq c-size (num-literals c)) (when (and (not (eq c d)) (= (literal-number c-lit) 1) (or (not factor?) (<= c-size d-size))) (when (subsume? c d) (return-from exit c))))) ))) nil)) subsumed))) ;;; BACK-SUBSUME : Clause -> List[Clause] ;;; returns the list of clauses subsumed by given clause. ;;; (defun back-subsume (clause) (declare (type clause clause) (values list)) (let ((factor? (pn-flag factor)) (clause-size (num-literals clause)) (db nil) (first-lit nil) (subsumed-clauses nil)) (declare (type fixnum clause-size) (type (or null hash-table) db) (type (or null literal) first-lit) (type list subsumed-clauses)) (dolist (lit (clause-literals clause)) (declare (type literal lit)) (unless (answer-literal? lit) (setq first-lit lit) (return))) (unless first-lit (with-output-chaos-warning () (format t "back-subsume: called with empty clause ~S" clause) (return-from back-subsume nil))) ;; (if (positive-literal? first-lit) (setq db *pos-literals*) (setq db *neg-literals*)) ;; (let ((list-clause (get-clashable-clauses-from-literal db first-lit t)) (subsumed nil)) (declare (type list list-clause)) (dolist (d list-clause) (declare (type clause d)) (when (and (not (eq clause d)) (or (not factor?) (<= clause-size (num-literals d)))) (setq subsumed (subsume? clause d)) #|| no flag `ancestor-subsume' now. (when (and subsumed (pn-flag ancestor-subsume)) (setq subsumed (ancestor-subsume clause d))) ||# (when subsumed (push d subsumed-clauses))))) ;; subsumed-clauses)) ;;; UNIT-CONFLICT : Clause -> List[emptyClause] ;;; search for unit conflict, returns empty clause if found, ;;; otherwise nil. ;;; = assumption : given clause is a unit clause. ;;; (defun unit-conflict (clause) (declare (type clause clause) (values list)) (let ((lit (dolist (l (clause-literals clause)) (unless (answer-literal? l) (return l))))) (declare (type (or null literal) lit)) (unless lit (with-output-panic-message () (format t "unit-conflict: accepted empty clause!"))) ;; (let* ((db (if (positive-literal? lit) *neg-literals* *pos-literals*)) (atom (literal-atom lit)) ; (clashes (get-literal-entry-from-atom db atom)) (clashes (is-fetch atom db)) (conflicts nil)) (declare (type hash-table db) (type term atom) (type list clashes) (type list conflicts)) ;; #|| (when (and *universal-symmetry* (negative-eq-literal? lit) (unit-clause? clause)) (push (car (clause-literals *universal-symmetry*)) clashes)) ||# ;; (dolist (ent clashes) (dolist (lit2 ent) (let ( ;(lit2 (literal-entry-literal ent)) ; (atom2 (literal-entry-atom ent)) (atom2 (literal-atom lit2)) (sub nil)) (declare (type literal lit2) (type term atom2) (type list sub)) (unless (eq lit lit2) (when (= 1 (num-literals (the clause (literal-clause lit2)))) (multiple-value-bind (new-subst no-match e-eq) (unify atom atom2 sub) (declare (ignore e-eq) (type list new-subst)) (unless no-match #|| (with-output-simple-msg () (format t "#unitconfliction:") (print-next) (format t " lit = ~s" lit) ;; (print-clause (literal-clause lit)) (print-next) (format t " lit2 = ~s" lit2)) ||# (let ((e (build-bin-res lit lit2 new-subst))) (declare (type clause e)) (merge-clause e) (push e conflicts) (incf (pn-stat empty-clauses)) (when (and (not (= -1 (pn-parameter max-proofs))) (<= (pn-parameter max-proofs) (pn-stat empty-clauses))) (return)))))))))) ;; conflicts))) ;;; ANCESTOR-SUBSUME : C D -> Bool ;;; We already know that c subsumes d. Check if d subsumes c and ;;; ancestors(c) <= ancestors(d). ;;; NOT-USED YET ;;; #|| (defun ancestor-subsume (c d) (if (subsume? d c) ;; followings are not implemented yet. (if (pn-flag PROOF-WEIGHT) (<= (proof-weight c *current-psys*) (proof-weight d *current-psys*)) (<= (proof-length c) (proof-length d))) t)) ||# ;;; PN-DISTINCT-CONSTANTS : Clause -> Clause ;;; #|| (defun pn-distinct-constants (clause) (labels ((do-dconst (atom) (unless (term-is-application-form? atom) (return-from do-dconst nil)) ;; (unless (method= (term-head atom) *fopl-eq*) (return-from do-dconst nil)) (let ((lhs (term-arg-1 atom)) (rhs (term-arg-2 atom))) (if (and (term-is-application-form? lhs) (null (term-subterms lhs)) (not (is-skolem (term-head lhs))) (term-is-application-form? rhs) (null (term-subterms rhs)) (not (is-skolem (term-head rhs)))) (if (term-is-identical lhs rhs) (progn ;; (term-replace atom *bool-true*) :equal) (progn ;; (term-replace atom *bool-false*) :non-equal)) nil)) )) (dolist (lit (clause-literals clause)) (let ((res (do-dconst (literal-atom lit)))) (if (eq res :equal) (setf (literal-atom lit) *bool-true* (literal-type lit) :normal-atom) (if (eq res :non-equal) (setf (literal-atom lit) *bool-false* (literal-type lit) :normal-atom))) (when res (setf (clause-parents clause) (nconc (clause-parents clause) (list (list :distinct-constants))))))) )) ||# (defun pn-distinct-constants (clause) (labels ((do-dconst (atom lit) (unless (term-is-application-form? atom) (return-from do-dconst nil)) ;; recurse on subterms. ;; #|| (dolist (sub (term-subterms atom)) (do-dconst sub lit)) ;; ||# ;; (unless (method= (term-head atom) *fopl-eq*) (return-from do-dconst nil)) (let ((lhs (term-arg-1 atom)) (rhs (term-arg-2 atom))) (when (and (term-is-application-form? lhs) (null (term-subterms lhs)) (not (is-skolem (term-head lhs))) (term-is-application-form? rhs) (null (term-subterms rhs)) (not (is-skolem (term-head rhs)))) (when (pn-flag debug-dist-const) (with-output-simple-msg () (princ "** dist-const: ") (print-clause clause))) (if (term-is-identical lhs rhs) (progn (term-replace atom *bool-true*)) (progn (term-replace atom *bool-false*))) (when (pn-flag debug-dist-const) (with-output-simple-msg () (princ "==> ") (print-clause clause))) (setf (clause-parents clause) (nconc (clause-parents clause) (list (list :distinct-constants)))) t) ))) (dolist (lit (clause-literals clause)) (when (do-dconst (literal-atom lit) lit) (setf (literal-type lit) :normal-atom))) )) ;;; EOF cafeobj-1.5.4/BigPink/codes/commands.lisp0000644000000000000000000007761512605345045016746 0ustar rootroot;;;-*-Mode:LISP; Package: CHAOS; Base:10; Syntax:Common-lisp -*- ;;; ;;; Copyright (c) 2000-2015, Toshimi Sawada. All rights reserved. ;;; ;;; Redistribution and use in source and binary forms, with or without ;;; modification, are permitted provided that the following conditions ;;; are met: ;;; ;;; * Redistributions of source code must retain the above copyright ;;; notice, this list of conditions and the following disclaimer. ;;; ;;; * Redistributions in binary form must reproduce the above ;;; copyright notice, this list of conditions and the following ;;; disclaimer in the documentation and/or other materials ;;; provided with the distribution. ;;; ;;; THIS SOFTWARE IS PROVIDED BY THE AUTHOR 'AS IS' AND ANY EXPRESSED ;;; OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED ;;; WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ;;; ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY ;;; DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL ;;; DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE ;;; GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS ;;; INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, ;;; WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING ;;; NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS ;;; SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. ;;; ;;; (in-package :chaos) #|============================================================================= System:Chaos Module:BigPink File:commands.lisp =============================================================================|# #-:chaos-debug (declaim (optimize (speed 3) (safety 0) #-GCL (debug 0))) #+:chaos-debug (declaim (optimize (speed 1) (safety 3) #-GCL (debug 3))) ;;; **************** ;;; PigNose Commands ;;; **************** ;;; ================== ;;; COMMAND SYNTAX ADT ;;; ================== ;;; fax Term . ;;; ---------- (defterm fax (%ast) :visible (sentence behavioural &optional goal label) :eval eval-fax) ;;; input should be ;;; ([ label ]: ( ). ;;; ::= "fax" | "bfax" | "goal" | "bgoal" ;;; (defun pignose-process-fax-proc (input) (declare (type list input) (values list)) (let ((lhs nil) (label nil)) (setq lhs (second input)) (when (and (not (equal (first lhs) "(")) (equal (first lhs) "[") (equal (third lhs) "]") (equal (fourth lhs) ":")) (setf label (list (intern (string (second lhs))))) (setf lhs (nthcdr 4 lhs))) (%fax* lhs (char= #\b (char (first input) 0)) nil label)) ) (defun pignose-eval-fax-proc (input) (declare (type list input) (values t)) (eval-ast (pignose-process-fax-proc input))) (defun pignose-process-goal-proc (input) (declare (type list input) (values list)) (let ((lhs nil) (label nil)) (setq lhs (second input)) (when (and (not (equal (first lhs) "(")) (equal (first lhs) "[") (equal (third lhs) "]") (equal (fourth lhs) ":")) (setf label (list (intern (string (second lhs))))) (setf lhs (nthcdr 4 lhs))) (%fax* lhs (char= #\b (char (first input) 0)) t label) )) (defun pignose-eval-goal-proc (input) (declare (type list input) (values t)) (eval-ast (pignose-process-goal-proc input))) ;;; sos = "{" . "," ..."}" ;;; also used for passive = .... ;;; passive .... ;;; ---------------------- (defterm sos (%script) :visible (operation clause-list type) ; :sos or :passive :eval eval-sos) ;;; pre-args ::= "sos" "=" "{" "}" (defun pignose-parse-sos (pre-args) (declare (type list pre-args) (values t)) (let ((args nil) (op nil) (ast nil) (type (if (equal (first pre-args) "sos") :sos :passive))) (declare (type list args ast) (type symbol op)) (case-equal (the simple-string (second pre-args)) ("=" (setq op :set)) ("+" (setq op :add)) ("-" (setq op :delete)) (t (with-output-chaos-error ('internal) (format t "sos op given ivalid op ~a" (second pre-args))))) (setq pre-args (cdddr pre-args)) (dolist (a pre-args) (unless (equal "," a) (push a args))) (pop args) ; pop last "}" (setq ast (%sos* op (nreverse args) type)) ast)) ;;; db reset (defterm pndb (%script) :visible (arg) :eval eval-pndb) (defun pignose-parse-db (inp) (%pndb* (cadr inp))) ;;; clause . (defterm clause-print (%script) :visible (term) :eval eval-clause-show) ;;; "clause" ;;; (defun pignose-parse-clause (inp) (declare (type list inp) (values t)) (%clause-print* (cadr inp))) ;;; resolve (defterm resolve (%script) :visible (arg) :eval eval-resolve) (defun pignose-parse-resolve (inp) (declare (type list inp)) (let ((ast (%resolve* (cadr inp)))) ast)) ;;; demod (defterm demod (%script) :visible (term &optional module mode return-text) :eval perform-demodulation) (defun pignose-parse-demod (inp &rest ignore) (declare (type list inp) (ignore ignore)) (multiple-value-bind (modexp preterm) (parse-in-context-modexp-with-term inp) (%demod* preterm modexp :red))) ;;; save-option name (defterm save-option (%script) :visible (name) :eval pn-eval-save-option) ;;; list { axioms | axiom | sos | usable | demod } ;;; (defterm pn-list (%script) :visible (arg) :eval eval-pn-list) ;;; ("list" arg) (defun pignose-parse-list-command (inp) (declare (type list inp)) (let ((arg (cadr inp)) (ast nil)) (declare (type t arg) (type list ast)) (case-equal arg (("axioms" "axiom") (setq arg :axiom)) ("sos" (setq arg :sos)) ("usable" (setq arg :usable)) ("passive" (setq arg :passive)) (("flag" "flags") (setq arg :flag)) (("param" "params" "parameters")(setq arg :param)) (("option" "options") (setq arg :option)) (("demod" "demodulator" "demodulators") (setq arg :demod)) (t (with-output-chaos-error ('invalid-list-option) (format t "invalid list option ~a" arg)))) (setq ast (%pn-list* arg)) ast)) ;;; option reset (defterm pn-option (%script) :visible (command &optional name) :eval eval-pn-option) (defun pignose-parse-save-option (inp) (declare (type list inp)) (let ((name (second inp))) (declare (type t name)) (when (equal name ".") (with-output-chaos-warning () (format t "option name `.' is not allowed.") (return-from pignose-parse-save-option nil))) (%pn-option* :save name))) (defun pignose-parse-option (inp) (declare (type list inp)) (let* ((arg (second inp)) (arg-1 (first arg))) (declare (type t arg arg-1)) (cond ((equal arg-1 "=") (let ((name (second arg))) (unless name (with-output-chaos-error ('insuf-arg) (princ "insufficient arguments to option command"))) (%pn-option* :restore name))) ((or (equal arg-1 ".") (equal arg-1 "reset")) (%pn-option* :reset)) (t (with-output-chaos-error ('inv-arg) (format t "invalid argument to option command ~{~a~}" arg)))))) ;;; flag(name, value) ;;; (defterm pn-set-flag (%script) :visible (name value) :eval eval-pn-set-flag) (defun pignose-parse-flag (inp) (declare (type list inp)) (let ((name (third inp)) (value (fifth inp))) (%pn-set-flag* name value))) ;;; param(name, value) ;;; (defterm pn-assign (%script) :visible (name value) :eval eval-pn-assign) (defun pignose-parse-param (inp) (let ((name (third inp)) (value (fifth inp))) (%pn-assign* name value))) ;;; sigmatch '(' M1 ')' 'to' '(' M2 ')' ;;; 0 1 2 3 4 5 6 7 ;;; (defterm sigmatch (%script) :visible (mod1 mod2) :eval eval-pn-sigmatch) (defun pignose-parse-sigmatch (inp) (declare (type list inp)) (let ((mod1 (parse-modexp (nth 2 inp))) (mod2 (parse-modexp (nth 6 inp)))) (%sigmatch* mod1 mod2))) ;;; lex [in ] : '(' op1, ..., *, opn ')' (defterm pn-lex (%script) :visible ( ; module : TODO*** ops) :eval eval-pn-lex) (defun pignose-parse-lex (inp) (declare (type list inp) (values t)) (let ((ops nil) (ast nil)) (dolist (elt (cddr inp)) ; skip "lex" "(" (unless (equal "," elt) (push elt ops))) (pop ops) ; last ")" (setq ast (%pn-lex* (nreverse ops))) ast)) ;;; ============================= ;;; TOP LEVEL COMMANDS EVALUATORS ;;; ============================= ;;; EVAL-FAX (defun parse-fax-declaration (ast) (declare (type list ast)) (let ((sentence (%fax-sentence ast)) (behavioural (%fax-behavioural ast)) (label (%fax-label ast)) (goal? (%fax-goal ast))) (I-miss-current-module parse-fax-declaration) ;; include fopl-clause unless already be imported. (include-fopl) (prepare-for-parsing *current-module*) (let ((sort *cosmos*) (*parse-variables* nil) (*parse-lhs-attr-vars* nil) (*lhs-attrid-vars* nil) (real-lhs nil) (ax nil)) (let ((parsed-sentence (simple-parse *current-module* sentence sort))) (when (term-ill-defined parsed-sentence) (with-output-chaos-error ('invalid-formula) (princ "no parse for FOPL formula") (print-next) (princ sentence))) (unless (sort<= (term-sort parsed-sentence) *fopl-sentence-sort* (module-sort-order *current-module*)) (with-output-chaos-error ('invalid-formula) (princ "sort of axiom must be (subsort of) FoplSentence.") (print-next) (princ sentence))) #|| (if goal? (setq real-lhs (make-term-with-sort-check *fopl-neg* (list parsed-sentence))) (setq real-lhs parsed-sentence)) ||# (setq real-lhs parsed-sentence) ;; (setq ax (make-pignose-axiom real-lhs :behavioural behavioural :label label :type (if goal? :pignose-goal :pignose-axiom))) (check-axiom-error-method *current-module* ax t) ax)))) (defun eval-fax (ast) (let ((ax (parse-fax-declaration ast))) (add-axiom-to-module *current-module* ax) (set-needs-rule) ax)) ;;; reset (defun eval-pndb (ast) (declare (ignore ast)) (unless *current-module* (with-output-chaos-error ('no-context) (princ "no context (current) module is set!"))) ;; (pn-db-reset)) ;;; EVAL-SOS ;;; (defun eval-sos (ast) (flet ((is-nat (tok) (and (stringp tok) (every #'digit-char-p tok)))) (let ((args (%sos-clause-list ast)) (op (%sos-operation ast)) (type (%sos-type ast)) (real-set nil) (psys nil) (put-sysgoal-in-sos nil)) (unless *current-module* (with-output-chaos-error ('no-context) (princ "no context (current) module is set!"))) (with-in-module (*current-module*) (auto-db-reset *current-module*) (setq psys (module-proof-system *current-module*)) (setq args (flatten-list args)) (dolist (arg args) (cond ((is-nat arg) (let ((cid nil) (clause nil)) (setq cid (read-from-string arg)) (setq clause (get-clause cid (psystem-clause-hash psys))) (unless clause (with-output-chaos-error ('unvalid-clause-id) (format t "no such claus with Id ~d." cid))) (push clause real-set))) ((null arg) ; setting empty ; do nothing ) (t (let ((label (intern arg)) (cl-list nil)) (declare (type symbol label) (type list cl-list)) (if (and (eq label '|:SYSTEM-GOAL|) (eq type :sos)) (setq put-sysgoal-in-sos t) (progn (setq cl-list (find-clause label psys)) (if cl-list (dolist (cl cl-list) (push cl real-set)) ;; assume let variable (let ((val (get-bound-value arg))) (unless val (with-output-chaos-error ('unboud) (format t "could not find let variable ~a" arg))) (setq val (copy-term-reusing-variables val (term-variables val))) ;; convert to clause form. (unless (and (is-valid-formula? val *current-module*) (check-fopl-syntax val)) (with-output-chaos-error ('invalid-formula) (princ "specified term is not valid as formula.") (term-print val))) (dolist (cl (formula->clause-1 val psys)) (push cl real-set)))))))))) ;; (dolist (cl (if (eq type :sos) (psystem-sos psys) (psystem-passive psys))) (setf (clause-container cl) nil)) ;; (case op (:set (if (eq type :sos) (setf (psystem-sos psys) (nreverse real-set)) (setf (psystem-passive psys) (nreverse real-set)))) (:add (if (eq type :sos) (setf (psystem-sos psys) (union (psystem-sos psys) (nreverse real-set) :test #'clause-equal)) (setf (psystem-passive psys) (union (psystem-passive psys) (nreverse real-set) :test #'clause-equal)))) (:delete (if (eq type :sos) (setf (psystem-sos psys) (set-difference (psystem-sos psys) (nreverse real-set) :test #'clause-equal)) (setf (psystem-passive psys) (set-difference (psystem-passive psys) (nreverse real-set) :test #'clause-equal))) (when put-sysgoal-in-sos (setq put-sysgoal-in-sos nil)))) ;; (if (eq type :sos) (dolist (cl (psystem-sos psys)) (setf (clause-container cl) :sos)) (dolist (cl (psystem-passive psys)) (setf (clause-container cl) :passive))) ;; setting sos/passive implies initial value of usable slot. (dolist (cl (psystem-usable psys)) (setf (clause-container cl) nil)) (setf (psystem-usable psys) (set-difference (psystem-axioms psys) (append (psystem-passive psys) (psystem-sos psys)) :test #'clause-equal)) (dolist (cl (psystem-usable psys)) (setf (clause-container cl) :usable)) ;; we sort sos usable in ;; *NOT YET* (setf (psystem-sos psys) (sort (psystem-sos psys) #'(lambda (x y) (< (clause-id x) (clause-id y))))) (setf (psystem-usable psys) (sort (psystem-usable psys) #'(lambda (x y) (< (clause-id x) (clause-id y))))) (setf (psystem-passive psys) (sort (psystem-passive psys) #'(lambda (x y) (< (clause-id x) (clause-id y))))) ;; (when put-sysgoal-in-sos (push :system-goal (psystem-sos psys))) ;; psys)))) ;;; EVAL-CLAUSE-SHOW ;;; (defun eval-clause-show (ast) (let ((pre-term (%clause-print-term ast))) (unless *current-module* (with-output-chaos-error ('no-context) (princ "no context module is given."))) (prepare-for-parsing *current-module*) (auto-db-reset *current-module*) (with-in-module (*current-module*) (let* ((*parse-variables* nil) (term (simple-parse *current-module* pre-term *cosmos*))) (when (or (null (term-sort term)) (sort<= (term-sort term) *syntax-err-sort* *chaos-sort-order*)) (return-from eval-clause-show nil)) (when *mel-sort* (!setup-reduction *current-module*) (setq term (apply-sort-memb term *current-module*))) (unless (check-fopl-syntax term) (with-output-chaos-error ('invalid-formula) (princ "specified term is not valid as formula.") (term-print term))) (dolist (cl (formula->clause-1 term (module-proof-system *current-module*))) (print-next) (print-clause cl *standard-output*)))))) ;;; EVAL-PN-LIST ;;; (defun eval-pn-list (ast) (let ((arg (%pn-list-arg ast)) (psys nil)) (unless (memq arg '(:flag :param :option)) (unless *current-module* (with-output-chaos-error ('no-context) (princ "no context (current) module is set."))) (auto-db-reset *current-module*) (setq psys (module-proof-system *current-module*)) (unless psys (with-output-panic-message () (princ "could not construct proof system!")))) ;; (case arg (:axiom (with-proof-context (*current-module*) (format t "~% ~%** MODULE AXIOMS in CLAUSAL FORM ________") (with-output-simple-msg () (princ " ") (dolist (cl (psystem-axioms psys)) (print-next) (print-clause cl *standard-output*))))) (:sos (with-proof-context (*current-module*) (print-sos-list) )) (:usable (with-proof-context (*current-module*) (print-usable-list) )) (:passive (with-proof-context (*current-module*) (print-passive-list))) (:flag (pr-list-of-flag)) (:param (pr-list-of-param)) (:option (pr-list-of-option)) (:demod (with-proof-context (*current-module*) (print-demodulators-list))) (otherwise (with-output-chaos-error ('invalid) (format t "internal error, unknown list option ~a" arg)))))) ;;; EVAL-RESOLVE ;;; (defun eval-resolve (ast) (let ((eval-context (get-context-module))) (let ((out-file (%resolve-arg ast))) (if (and out-file (not (equal out-file "."))) (with-open-file (stream out-file :direction :output :if-exists :append :if-does-not-exist :create) (let ((*standard-output* stream)) (do-resolve eval-context))) (do-resolve eval-context))))) (defun do-resolve (mod) (let ((time1 nil) (time2 nil) (time-for-run nil) (ret-code nil)) (setq time1 (get-internal-run-time)) (setq ret-code (infer-main mod)) (setq time2 (get-internal-run-time)) (setq time-for-run (format nil "~,3f sec" (elapsed-time-in-seconds time1 time2))) (unless *chaos-quiet* (when (pn-flag print-stats) (with-output-simple-msg () (format t "(total run time ~a)" time-for-run)))) ret-code)) ;;; EXTENSIONS OF "SHOW"/"DESCRIBE" COMMAND. ;;; (defun pignose-show-clause (cl-id &optional (desc nil) (all nil)) (declare (ignore all)) (unless *current-module* (with-output-chaos-error ('no-context) (princ "no context (current) module is set!"))) (with-in-module (*current-module*) (let ((psys (module-proof-system *current-module*))) (let ((clauses (find-clause cl-id psys))) (cond (desc (dolist (cl clauses) (print-next) (when (clause-formula cl) (princ "-- clause derived from formula:") (print-next) (term-print (clause-formula cl)) (print-next)) (print-clause cl *standard-output*))) (t ; show (dolist (cl clauses) (print-next) (print-clause cl *standard-output*)) )))))) ;;; ;;; SET-FLAG/CLEAR-FLAG ;;; (defun eval-pn-set-flag (ast) (let ((name (%pn-set-flag-name ast)) (given-value (%pn-set-flag-value ast)) (value nil)) (let ((index (find-pn-flag-index name))) (unless index (with-output-chaos-error ('no-such-flag) (format t "no such flag name ~s" name))) (when (or (equal given-value "on") (equal given-value "set")) (setq value t)) (when (pn-flag print-message) (with-output-msg () (format t "setting flag ~s to ~s" name given-value))) (setf (pn-flag index) value) (dependent-flags index) ;; run hook (funcall (pn-flag-hook index) value)))) ;;; SHOW-OPTION ;;; (defun pignose-show-option (name) (show-option-set name)) ;;; ASSIGN ;;; (defun eval-pn-assign (ast) (let ((name (%pn-assign-name ast)) (given-value (%pn-assign-value ast)) (index nil) (value nil)) (setq index (find-pn-parameter-index name)) (unless index (with-output-chaos-error ('no-such-param) (format t "no such parameter name ~s" name))) (if (integerp given-value) (setq value given-value) (when (stringp given-value) (setq value (parse-integer given-value :junk-allowed t)))) (unless (integerp value) (with-output-chaos-error ('invalid-value) (format t "invalid parameter value ~s" given-value))) (let ((min (pn-parameter-min index)) (max (pn-parameter-max index))) (when (< value min) (with-output-chaos-error ('out-of-range) (format t "given value ~d is too small, minimun value allowed is ~d" value min))) (when (> value max) (with-output-chaos-error ('out-of-range) (format t "given value ~d is too large, maximum value allowed is ~d" value max))) (when (pn-flag print-message) (with-output-msg () (format t "setting parameter ~s to ~d." name value))) (setf (pn-parameter index) value)))) ;;; option reset ;;; (defun eval-pn-option (ast) (let ((command (%pn-option-command ast)) (name (%pn-option-name ast))) (case command (:reset (init-pn-options)) (:save (save-option-set name)) (:restore (restore-option-set name))))) ;;; DEMOD (defun perform-demodulation (ast) (let ((preterm (%demod-term ast)) (modexp (%demod-module ast)) (mode (%demod-mode ast)) (result-as-text (%demod-return-text ast))) (perform-demodulation* preterm modexp mode result-as-text))) ;;; *** TODO *** ;;; use reducer. (defun perform-demodulation* (preterm &optional modexp mode (result-as-text nil)) (let ((*consider-object* t) (*rewrite-exec-mode* (eq mode :exec)) (*rewrite-semantic-reduce* nil) sort time1 time2 (time-for-parse nil) (time-for-reduction nil) (number-matches nil)) (let ((mod (if modexp (eval-modexp modexp) (get-context-module t)))) (unless (eq mod (get-context-module t)) (clear-term-memo-table *term-memo-table*)) (if (or (null mod) (modexp-is-error mod)) (if (null mod) (with-output-chaos-error ('no-context) (princ "no module expression provided and no selected(current) module.")) (with-output-chaos-error ('no-such-module) (princ "incorrect module expression, no such module ") (print-chaos-object modexp))) (progn (context-push-and-move (get-context-module t) mod) (with-in-module (mod) (auto-db-reset mod)) (with-proof-context (mod) (when *auto-context-change* (change-context (get-context-module t) mod)) (!setup-reduction mod) (setq $$mod (get-context-module)) (setq sort *cosmos*) (when *show-stats* (setq time1 (get-internal-run-time))) (setq *rewrite-semantic-reduce* (and (eq mode :red) (module-has-behavioural-axioms mod))) ;; (let* ((*parse-variables* nil) (term (simple-parse (get-context-module) preterm sort))) (when (or (null (term-sort term)) (sort<= (term-sort term) *syntax-err-sort* *chaos-sort-order*)) (return-from perform-demodulation* nil)) (when *rewrite-stepping* (setq *steps-to-be-done* 1)) (when *show-stats* (setq time2 (get-internal-run-time)) (setf time-for-parse (format nil "~,3f sec" (elapsed-time-in-seconds time1 time2)))) (unless *chaos-quiet* (fresh-all) (flush-all) (if *rewrite-exec-mode* (princ "-- execute in ") (if (eq mode :red) (princ "-- demodulate in ") (princ "-- behavioural demodulate in ")) ) (print-simple-mod-name (get-context-module)) (princ " : ") (let ((*print-indent* (+ 4 *print-indent*))) (term-print term)) (flush-all)) ;; ******** (reset-target-term term (get-context-module) mod) ;; ******** (setq $$matches 0) (setq time1 (get-internal-run-time)) (let ((*rule-count* 0)) (let ((res nil)) (catch 'rewrite-abort (setq res (demod-atom term))) (unless res (setq res $$term)) ;; (when *mel-sort* (setq res (apply-sort-memb res mod)) (when res (setq $$term res))) ;; (setq time2 (get-internal-run-time)) (setf time-for-reduction (format nil "~,3f sec" (elapsed-time-in-seconds time1 time2))) (setf number-matches $$matches) (setq $$matches 0) (setq $$norm res) ;; print out the result. (if result-as-text (let ((red-term (with-output-to-string (s) (let ((*standard-output* s) (*print-indent* (+ *print-indent* 2))) (term-print res) (print-check) (princ " : ") (print-sort-name (term-sort res) (get-context-module)) s))) (stat (if *show-stats* (concatenate 'string (format nil "~%(~a for parse, ~s rewrites(~a), ~d matches" time-for-parse *rule-count* time-for-reduction number-matches) (if (zerop *term-memo-hash-hit*) (format nil ")~%") (format nil ", ~d memo hits)~%" *term-memo-hash-hit*))) ""))) (return-from perform-demodulation* (values red-term stat))) (progn (let ((*print-indent* (+ *print-indent* 2))) (fresh-all) (term-print res) (print-check 0 3) (princ " : ") (print-sort-name (term-sort res) (get-context-module))) (when *show-stats* (format t "~%(~a for parse, ~s rewrites(~a), ~d matches" time-for-parse *rule-count* time-for-reduction number-matches) (if (zerop *term-memo-hash-hit*) (format t ")~%") (format t ", ~d memo hits)~%" *term-memo-hash-hit*))) (flush-all))))))) (context-pop-and-recover)))))) ;;; SIGMATCH (defun eval-pn-sigmatch (ast) (let ((mod1 (eval-modexp (%sigmatch-mod1 ast))) (mod2 (eval-modexp (%sigmatch-mod2 ast))) (views nil)) (when (or (null mod1) (modexp-is-error mod1)) (with-output-chaos-error ('no-such-module) (princ "no such module: ") (print-modexp (%sigmatch-mod1 ast)))) (when (or (null mod2) (modexp-is-error mod2)) (with-output-chaos-error ('no-such-module) (princ "no such module: ") (print-modexp (%sigmatch-mod2 ast)))) (setq views (sigmatch mod1 mod2)) (if views (princ views) (princ "( )")))) ;;; LEX (defun eval-pn-lex (ast) (compile-module (get-context-module)) (with-in-module ((get-context-module)) (let ((optokens (%pn-lex-ops ast)) (prec-list nil)) (dolist (e optokens) (cond ((equal e '("*")) (push :* prec-list)) ((equal e '("SKOLEM")) (push :skolem prec-list)) (t (let ((parsedop (parse-op-name e))) (multiple-value-bind (ops mod) (resolve-operator-reference parsedop) (with-in-module (mod) (dolist (opinfo ops) (dolist (meth (reverse (opinfo-methods opinfo))) (push meth prec-list))))))))) ;; (unless (memq :* prec-list) (push :* prec-list)) (unless (memq :skolem prec-list) (push :skolem prec-list)) (setq prec-list (nreverse prec-list)) ;; (setf (module-op-lex *current-module*) prec-list)))) ;;; EOF cafeobj-1.5.4/BigPink/codes/demod.lisp0000644000000000000000000006730712605345045016232 0ustar rootroot;;;-*-Mode:LISP; Package: CHAOS; Base:10; Syntax:Common-lisp -*- ;;; ;;; Copyright (c) 2000-2015, Toshimi Sawada. All rights reserved. ;;; ;;; Redistribution and use in source and binary forms, with or without ;;; modification, are permitted provided that the following conditions ;;; are met: ;;; ;;; * Redistributions of source code must retain the above copyright ;;; notice, this list of conditions and the following disclaimer. ;;; ;;; * Redistributions in binary form must reproduce the above ;;; copyright notice, this list of conditions and the following ;;; disclaimer in the documentation and/or other materials ;;; provided with the distribution. ;;; ;;; THIS SOFTWARE IS PROVIDED BY THE AUTHOR 'AS IS' AND ANY EXPRESSED ;;; OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED ;;; WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ;;; ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY ;;; DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL ;;; DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE ;;; GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS ;;; INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, ;;; WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING ;;; NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS ;;; SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. ;;; ;;; (in-package :chaos) #|============================================================================= System:Chaos Module:BigPink File:demod.lisp =============================================================================|# #-:chaos-debug (declaim (optimize (speed 3) (safety 0) #-GCL (debug 0))) #+:chaos-debug (declaim (optimize (speed 1) (safety 3) #-GCL (debug 3))) (declaim (special .demod-target-clause.) (type (or null clause) .demod-target-clause.)) (defvar .demod-target-clause. nil) (declaim (special .demod-used-clauses.) (type list .demod-used-clauses.)) (defvar .demod-used-clauses. nil) (declaim (special .current-demod-clause.) (type (or null clause) .current-demod-clause.)) (defvar .current-demod-clause. nil) (declaim (special .demod-to-be-used.) (type list .demod-to-be-used.)) (defvar .demod-to-be-used. nil) ;;; METHOD-DEMODULATORS : Method -> List[Demodulator] ;;; (defmacro method-demodulators (meth &optional (demod-table '*demodulators*)) `(the list (gethash ,meth ,demod-table))) ;;; RULE->DEMODULATOR : Rule -> Demodulator ;;; - translates CafeOBJ rewrite rule to demodulator. ;;; - conditional rules are not supported. ;;; (defun rule-2-demod (rule &optional (order :normal)) (declare (type axiom rule) (type symbol order)) (make-demod :axiom rule :order order)) (defun rule->demodulator (rule &optional (psys nil)) (declare (type axiom rule) (ignore psys) (values (or null demod))) (let ((cond (axiom-condition rule))) (declare (type term cond)) (if (is-true? cond) (rule-2-demod rule :normal) ;; I don't know how to treat this nil ))) ;;; CAFEOBJ-RULES->DEMODULATORS : Module -> Void ;;; - translate every rewrite rules of Module to Demodulators. ;;; - generated demodulators are kept in demodulator table of given module. ;;; (defun cafeobj-rules->demodulators (module) (declare (type module module) (values t)) (with-in-module (module) (let ((opinfos (module-all-operators *current-module*)) (demod-table (psystem-demodulators (module-proof-system module)))) (declare (type list opinfos) (type hash-table demod-table)) (dolist (opinfo opinfos) (dolist (meth (opinfo-methods opinfo)) (declare (type method meth)) (let ((rules (method-rules-with-different-top meth))) (declare (type list rules)) (dolist (r rules) (declare (type axiom r)) (let ((demod (rule->demodulator r))) (when demod (push demod (method-demodulators meth demod-table))))))) )))) ;;; DYNAMIC-DEMODULATOR : Clause -> {:normal, :order-dep, nil} ;;; :normal -- regular demodulator ;;; :order-dep -- lex- lr lrop- dependent demodulator ;;; nil -- cannnot be a demodulator ;;; (defun dynamic-demodulator (clause) (declare (type clause clause) (values symbol)) (let ((l (ith-literal clause 1))) (declare (type literal l)) (if (positive-eq-literal? l) (let* ((atom (literal-atom l)) (lhs (term-arg-1 atom)) (rhs (term-arg-2 atom))) (declare (type term atom lhs rhs)) (when (term-is-identical lhs rhs) (return-from dynamic-demodulator nil)) (when (test-bit (literal-stat-bits l) oriented-eq-bit) (if (pn-flag lrpo) (return-from dynamic-demodulator :normal) (when (var-subset rhs lhs) (if (pn-flag dynamic-demod-all) (return-from dynamic-demodulator :normal) ;; (let ((wt-lft (term-weight lhs)) (wt-rgt (term-weight rhs))) (declare (type fixnum wt-lft wt-rgt)) (if (and (< wt-rgt (pn-parameter dynamic-demod-rhs)) (>= (- wt-lft wt-rgt) (pn-parameter dynamic-demod-depth))) (return-from dynamic-demodulator :normal))) ) ))) ;; (unless (pn-flag dynamic-demod-lex-dep) (return-from dynamic-demodulator nil)) ;; (when (pn-flag lrpo) (if (and (var-subset rhs lhs) (not (term-is-identical lhs rhs))) (return-from dynamic-demodulator :order-dep) (return-from dynamic-demodulator nil))) ;; (if (not (pn-flag dynamic-demod-all)) (return-from dynamic-demodulator nil) (if (and (term-ident-x-vars lhs rhs) (not (term-is-identical lhs rhs))) (return-from dynamic-demodulator :order-dep) (return-from dynamic-demodulator nil)))) ;; nil) )) ;;; NEW-DEMODULATOR : Clause DemodFlag ;;; - make an equality unit into a demodulator. ;;; - returns new demodulator. ;;; (defun new-demodulator (clause &optional (demod-flag nil)) (declare (type clause clause) (type symbol demod-flag) (values demod)) (incf (pn-stat new-demods)) (let* ((atom (literal-atom (ith-literal clause 1))) (lhs (copy-term-reusing-variables (term-arg-1 atom) (term-variables (term-arg-1 atom)))) (rhs (copy-term-reusing-variables (term-arg-2 atom) (term-variables (term-arg-2 atom))))) (declare (type term atom lhs rhs)) (let* ((ax (make-simple-axiom lhs rhs nil ; type nil ; behavioural -> to do )) (demod nil)) (declare (type axiom ax) (type (or null demod) demod)) ;; specialization should be considered: TODO (setq demod (make-demod :axiom ax :order demod-flag :clause clause)) ;; must consider `demod-flag' here, : TODO ;; or at rewriting time...... (push demod (gethash (term-head lhs) *demodulators*)) ;; (incf (pn-stat demodulators-size)) ;; demod )) ) ;;; =================== ;;; DEMODULATION ENGINE ;;; =================== (declaim (special *current-cafeobj-rule*) (type (or null axiom) *current-cafeobj-rule*)) (defvar *current-cafeobj-rule* nil) (declaim (special *demod-is-back-demod*)) (defvar *demod-is-back-demod* nil) (defun demod-replace-term (t1 t2) (declare (type term t1 t2)) (when (<= (pn-parameter demod-limit) *rule-count*) (throw 'rule-failure :demod-limit)) (incf *rule-count*) (incf (pn-stat rewrites)) (when (pn-flag trace-demod) (with-output-simple-msg () (if (= 1 *rule-count*) (progn (if *demod-is-back-demod* (format t "<~D> back demod: " *rule-count*) (format t "<~D> demod: " *rule-count*)) (term-print $$term)) (format t "<~D>" *rule-count*)) (let ((*print-indent* (+ *print-indent* 4))) (print-next) (term-print t1) (print-next) (format t "-(~a)-> " (if (clause-p .current-demod-clause.) (clause-id .current-demod-clause.) :*)) (term-print t2)) )) ;; (term-replace t1 t2) ;; (when (pn-flag trace-demod) (with-output-simple-msg () (princ " ==> ") (term-print $$term)))) (defun apply-one-demodulator (demod term) (if (eq (demod-order demod) :builtin) (if (apply-one-rule (demod-axiom demod) term) (progn (incf (pn-stat rewrites)) t) nil) (apply-one-demodulator* demod term))) (defun apply-one-demodulator* (demod term &aux (rule (demod-axiom demod))) (declare (type demod demod) (type axiom rule) (type term term)) (declare (inline demod-replace-term)) ;; non-harmfull but nonsence. (when (term-eq (rule-lhs rule) term) (return-from apply-one-demodulator* nil)) ;; (let* ((*self* term) (*do-unify* nil) (contr nil) (ok t)) (declare (type term *self*) (type (or null term) contr)) ;; (multiple-value-bind (subst no-match E-equal) (pn-match (rule-lhs rule) term nil t) (declare (type list subst) (ignore e-equal)) (incf $$matches) (when no-match (return-from apply-one-demodulator* nil)) (unless (beh-context-ok? rule term) (return-from apply-one-demodulator* nil)) ;; match success ------------------------------------- (block try-rule (catch 'rule-failure (setq contr (set-term-color (substitution-image subst (rule-rhs rule)))) (when (eq (demod-order demod) :order-dep) (if (pn-flag lrpo) (setq ok (lrpo-greater term contr)) (setq ok (eq :less (lex-check contr term))))) (when ok (demod-replace-term term contr) (return-from apply-one-demodulator* t)))) nil))) ;;; APPLY-DEMODULATOR : rule term -> Bool ;;;----------------------------------------------------------------------------- ;;; Returns true iff the rule has been sucessfully apply. Note that in this case ;;; "term" is also modified. ;;; The associative extensions are automatiquely generated and applied if needed. ;;; (defun apply-demodulator (demod term &aux (rule (demod-axiom demod))) (declare (type demod demod) (type axiom rule) (type term term)) (let ((is-applied nil) (.current-demod-clause. (demod-clause demod))) (declare (type (or symbol clause) .current-demod-clause.)) ;; avoid self application, current implementation cannot handle ;; this situation... (when (eq .current-demod-clause. .demod-target-clause.) (return-from apply-demodulator nil)) ;; (tagbody ;; now this test is useless, just a memo for future ;; versions. (when (rule-is-rule rule) (if *rewrite-exec-mode* (go do-apply) (return-from apply-demodulator nil))) ;; rule is equation (when (and (not *cexec-normalize*) (term-is-applform? term) (method-has-trans-rule (term-head term))) (return-from apply-demodulator nil)) ;;---- do-apply ;;---- ;; ;; first apply the given rule. (setq is-applied (apply-one-demodulator demod term)) ;; apply AC extension if failed.. ;; ) ;; return t iff the rule is applied. (when is-applied (let ((cid (if (clause-p .current-demod-clause.) (clause-id .current-demod-clause.) :eval))) (pushnew cid .demod-used-clauses.)) ) ;; is-applied)) #|| NOT USED, and NOT fully implemented ;;; (defun demod-apply-A-extensions (rule term top) (declare (type axiom rule) (type term term) (type method top)) ;; (declare (optimize (speed 3) (safety 0))) (let ((listext (!axiom-a-extensions rule)) (a-ext nil) (is-applied nil)) (declare (type list litext) (type (or null axiom) a-ext)) (when (null listext) ;; then need to pre-compute the extensions and store then (setq listext (compute-A-extensions rule top))) (when (setq a-ext (car listext)) ;; the first extension exists (setq is-applied (apply-one-demodulator a-ext term))) (setq listext (cdr listext)) (when (setq a-ext (car listext)) ;; the second extension exists (setq is-applied (or (apply-one-demodulator a-ext term) is-applied))) (setq listext (cdr listext)) (when (setq a-ext (car listext)) ;; the third extension exists (setq is-applied (or (apply-one-demodulator a-ext term) is-applied))) ;; is-applied)) (defun demod-apply-AC-extension (rule term top) (declare (type axiom rule) (type term term) (type method top) (values (or null t))) (let ((listext (!axiom-ac-extension rule)) (is-applied nil)) (when (null listext) ;; then need to pre-compute the extensions and store then (setq listext (compute-AC-extension rule top))) (when (car listext) ;; the extension exists (setq is-applied (apply-one-demodulator (car listext) term))) is-applied)) ||# ;;; APPLY-DEMODULATORS : TERM STRATEGY -> BOOLEAN ;;; (defun apply-demodulators (term strategy) (declare (type term term) (type list strategy)) (labels ((apply-dt-rules (demods) (declare (type list demods)) (block the-end (dolist (demod demods) (declare (type demod demod)) (when (apply-demodulator demod term) (return-from the-end t))))) (apply-rules-internal () (let ((top (term-head term))) (declare (type method top)) (update-lowest-parse term) (if (not (eq top (term-head term))) (demod-normalize-term term) (if (apply-dt-rules (or .demod-to-be-used. (method-demodulators top))) (demod-normalize-term term) (demod-reduce-term term (cdr strategy))) )))) ;; (apply-rules-internal) )) ;;; ;;; DEMOD-REDUCE-TERM : term strategy -> boolean ;;; (defun demod-reduce-term (term strategy) (declare (type term term) (type list strategy)) (let ((occ nil) (top (term-head term)) ;; (*cexec-target* nil) ) (declare (type (or null fixnum) occ) (type method top)) (cond ((null strategy) ;; no strat, or exhausted. (unless (term-is-lowest-parsed? term) (update-lowest-parse term) (unless (method= (term-method term) top) (return-from demod-reduce-term (demod-normalize-term term)))) (mark-term-as-reduced term) ) ;; whole ((= 0 (the fixnum (setf occ (car strategy)))) #|| (when (eq top *rwl-predicate*) (setq *cexec-target* term)) ||# (unless (term-is-reduced? term) (apply-demodulators term strategy))) ;; explicit lazy ((< (the fixnum occ) 0) (let ((d-arg (term-arg-n term (1- (abs occ))))) (unless (term-is-reduced? d-arg) (mark-term-as-on-demand d-arg)) (demod-reduce-term term (cdr strategy)))) ;; normal case, reduce specified subterm #|| (t (if (method-is-associative top) (let ((list-subterms (list-assoc-subterms term top)) (lowest-parsed t)) (declare (type list list-subterms)) (dolist (x list-subterms) (unless (demod-normalize-term x) (setf lowest-parsed nil))) (unless lowest-parsed (mark-term-as-not-lowest-parsed term)) (demod-reduce-term term (list 0))) (progn (unless (demod-normalize-term (term-arg-n term (1- occ))) (mark-term-as-not-lowest-parsed term)) (demod-reduce-term term (cdr strategy))))) ||# (t (unless (demod-normalize-term (term-arg-n term (1- occ))) (mark-term-as-not-lowest-parsed term)) (demod-reduce-term term (cdr strategy))) ))) ;;; #|| (defun demod-method-rewrite-strategy (meth) (let ((strat (method-rewrite-strategy meth))) (if strat (if (= 0 (car (last strat))) strat (append strat '(0))) (progn (dotimes (x (cdr (method-name meth))) (push (1+ x) strat)) (push 0 strat) (nreverse strat))))) ||# (defvar .demod-strat. #((0) (1 0) (1 2 0) (1 2 3 0) (1 2 3 4 0) (1 2 3 4 5 0) (1 2 3 4 5 6 0) (1 2 3 4 5 6 7 0) (1 2 3 4 5 6 7 8 0) (1 2 3 4 5 6 7 8 9 0) (1 2 3 4 5 6 7 8 9 10 0) )) (defun demod-method-rewrite-strategy (meth) (let ((strat nil) (num-args (cdr (method-name meth)))) (declare (type fixnum num-args) (type list strat)) (if (<= num-args 10) (aref .demod-strat. num-args) (progn (dotimes (x num-args) (push (1+ x) strat)) (push 0 strat) (nreverse strat))))) (defun demod-normalize-term (term) (declare (type term term)) (let ((strategy nil)) (declare (type list strategy)) (cond ((term-is-reduced? term) (when (term-is-builtin-constant? term) (update-lowest-parse term)) t) ((null (setq strategy (demod-method-rewrite-strategy (term-head term)))) (mark-term-as-reduced term) t) ;; (t (demod-reduce-term term strategy) nil)))) (defun clean-reduced-flag (term) (declare (type term term) (values t)) (when (or (term-is-builtin-constant? term) (term-is-variable? term)) (return-from clean-reduced-flag nil)) (mark-term-as-not-reduced term) (when (term-is-application-form? term) (dolist (sub (term-subterms term)) (clean-reduced-flag sub)))) (defun demod-rewrite (term &optional (module *current-module*)) (declare (type term term) (type module module) (values term)) ;; case of back demodulation (when .demod-to-be-used. (clean-reduced-flag term)) ;; (with-in-module (module) (let ((*beh-rewrite* (and (not *rewrite-semantic-reduce*) (module-has-behavioural-axioms module)))) (declare (special *beh-rewrite*)) (set-term-color-top term) (demod-normalize-term term))) term) ;;; ;;; DEMODULATE-CLAUSE : CLAUSE -> Void ;;; (defun demodulate-clause (clause) (declare (type clause clause)) (let ((.demod-target-clause. clause) (.demod-used-clauses. nil) (.current-demod-clause. nil) (rwc (pn-stat rewrites))) (declare (type clause .demod-target-clause.) (type fixnum rwc)) (setq *term-memo-hash-hit* 0) (let ((*current-cafeobj-rule* (clause-axiom clause))) (dolist (lit (clause-literals clause)) (declare (type literal lit)) (demod-atom (literal-atom lit)))) (unless (= (pn-stat rewrites) rwc) ;; there happened some rewrites (dolist (lit (clause-literals clause)) (mark-literal lit)) (setf (clause-parents clause) (nconc (clause-parents clause) (list (cons :demod-rule (nreverse .demod-used-clauses.))))) ))) (defun demod-atom (atom) (setq *rule-count* 0) (setq $$matches 0) (setq $$term atom) #|| (if (sort<= (term-sort atom) *fopl-sentence-sort* *current-sort-order*) (dolist (sub (term-subterms atom)) (if (not (term-is-variable? sub)) (demod-atom sub))) (demod-rewrite atom)) ||# (demod-rewrite atom) ) ;;; ;;; APPLY-DEMOD-TO-CLAUSE : Demodulator Clause ;;; (defun apply-demod-to-clause (demod clause) (let ((.demod-to-be-used. (list demod))) (declare (type list .demod-to-be-used.)) (let ((.demod-target-clause. clause) (.demod-used-clauses. nil) (.current-demod-clause. nil) (rwc (pn-stat rewrites))) (declare (type fixnum rwc)) (setq *term-memo-hash-hit* 0) (let ((*current-cafeobj-rule* (clause-axiom clause))) (dolist (lit (clause-literals clause)) (declare (type literal lit)) (demod-atom (literal-atom lit)))) (unless (= rwc (pn-stat rewrites)) ;; there happened some rewrites (dolist (lit (clause-literals clause)) (mark-literal lit)) (return-from apply-demod-to-clause clause)) nil))) ;;; ;;; BACK-DEMODULATE ;;; (defun back-demodulate (demod-list clause input list-marker) (declare (type list demod-list) (type clause clause) (type symbol list-marker)) (let ((demod (cdr (assq clause demod-list))) (*demod-is-back-demod* t)) (declare (type (or null demod) demod)) (when demod (let ((cls (get-clashable-clauses-from-atom *full-lit-table* (demod-lhs demod)))) (declare (type list cls)) (dolist (cl cls) (declare (type clause cl)) (when (apply-demod-to-clause demod cl) (incf (pn-stat cl-back-demod)) (unless (pn-flag quiet) (when (or input (pn-flag print-back-demod)) (with-output-simple-msg () (format t "* back demodulating ~d with ~d" (clause-id cl) (clause-id clause))))) (clause-full-un-index-slow cl) (setf (clause-container cl) nil) ; ** (setf (clause-parents cl) (nconc (clause-parents cl) (list (list :back-demod-rule (clause-id clause))))) ;; (pre-process cl input list-marker) (let ((new-cl (copy-clause cl))) (declare (type clause new-cl)) (setf (clause-parents new-cl) (list (cons :back-demod-rule (list (clause-id clause) (clause-id cl))))) (pre-process new-cl input list-marker) ) )) )) )) #| (defun back-demodulate (demod-list clause input list-marker) (declare (type list demod-list) (type clause clause) (type symbol list-marker)) (let ((demod (cdr (assq clause demod-list))) (*demod-is-back-demod* t)) (declare (type (or null demod) demod)) (when demod (let ((cls (get-clashable-clauses-from-atom *full-lit-table* (demod-lhs demod)))) (declare (type list cls)) (dolist (cl cls) (declare (type clause cl)) (let ((new-cl (copy-clause cl))) (declare (type clause new-cl)) (when (apply-demod-to-clause demod new-cl) (incf (pn-stat cl-back-demod)) (unless (pn-flag quiet) (when (or input (pn-flag print-back-demod)) (with-output-simple-msg () (format t "* back demodulating ~d with ~d" (clause-id cl) (clause-id clause))))) (clause-full-un-index-slow cl) (setf (clause-container cl) nil) ; ** (setf (clause-parents new-cl) (list (cons :back-demod-rule (list (clause-id clause) (clause-id cl))))) (pre-process new-cl input list-marker) ) )) )) )) |# ;;; LITERAL-TRUE-FALSE-REDUCE ;;; delete any false literals false or ~true ;;; nil : clause evaluated successfully ;;; t : clause evaluated successfully to true ;;; (clause/literals not deallocated) ;;; (defmacro pn-is-true? (atom) (once-only (atom) `(or (and (term-is-application-form? ,atom) (is-true? ,atom)) (and (term-is-variable? ,atom) (sort= (term-sort ,atom) *bool-sort*))))) (defmacro safe-is-true? (term) (once-only (term) `(and (term-is-applform? ,term) (is-true? ,term)))) (defmacro safe-is-false? (term) (once-only (term) `(and (term-is-applform? ,term) (is-false? ,term)))) (defun pn-is-false? (lit) (declare (type literal lit)) (let ((atom (literal-atom lit))) (declare (type term atom)) #|| (with-output-simple-msg () (format t "pn-is-false?: ") (pr-literal lit *standard-output*) (print-next) (format t "type = ~s" (literal-type lit))) ||# (and (term-is-application-form? atom) (or (is-false? atom) (and (eq-literal? lit) (let ((a1 (term-arg-1 atom)) (a2 (term-arg-2 atom))) (or (and (term-is-builtin-constant? a1) (term-is-builtin-constant? a2) (not (term-builtin-equal a1 a2))) (and (safe-is-true? a1) (safe-is-false? a2)) (and (safe-is-false? a1) (safe-is-true? a2)))))))) ) (defun literal-true-false-reduce (clause) (declare (type clause clause)) (let ((literals nil) (delete? nil)) (declare (type list literals)) (dolist (lit (clause-literals clause)) (declare (type literal lit)) (let ((atom (literal-atom lit)) (true? nil) (false? nil)) (declare (type term atom)) (setq true? (pn-is-true? atom)) (setq false? (pn-is-false? lit)) ;; (if (or true? false?) (if (or (and true? (positive-literal? lit)) (and false? (negative-literal? lit))) ;; literal is true, so clause is true. (return-from literal-true-false-reduce t) (if (or (and false? (positive-literal? lit)) (and true? (negative-literal? lit))) ;; literal is false, so delete it (setq delete? t) ;; else store it as is (push lit literals))) (push lit literals)))) ;; done (when delete? (setf (clause-literals clause) (nreverse literals)) ) ;; nil)) ;;; SETUP-BUILTIN-DEMODULATORS (defun setup-builtin-demodulators (mod) (with-in-module (mod) (let ((opinfos (module-all-operators mod))) (dolist (opinfo opinfos) (dolist (m (opinfo-methods opinfo)) (when (method-is-meta-demod m) (let ((rules (method-all-rules m))) (dolist (rule rules) (let ((demod (make-demod :axiom rule :order :builtin :clause :builtin))) (push demod (gethash (term-head (rule-lhs rule)) *demodulators*))))))))))) ;;; SETUP-DEMODULATORS (defun setup-demodulators () (setup-builtin-demodulators *current-module*) (dolist (demod (psystem-demods *current-psys*)) (new-demodulator demod :normal))) ;;; EOF cafeobj-1.5.4/BigPink/codes/fopl.mod0000644000000000000000000003256212605345045015705 0ustar rootroot** -*- Mode:CafeOBJ -*- ** ** Copyright (c) 2000-2015, Toshimi Sawada. All rights reserved. ** ** Redistribution and use in source and binary forms, with or without ** modification, are permitted provided that the following conditions ** are met: ** ** * Redistributions of source code must retain the above copyright ** notice, this list of conditions and the following disclaimer. ** ** * Redistributions in binary form must reproduce the above ** copyright notice, this list of conditions and the following ** disclaimer in the documentation and/or other materials ** provided with the distribution. ** ** THIS SOFTWARE IS PROVIDED BY THE AUTHOR 'AS IS' AND ANY EXPRESSED ** OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED ** WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ** ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY ** DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL ** DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE ** GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS ** INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, ** WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING ** NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS ** SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. ** ** system: Chaos ** module: PigNose ** file: fopl.mod ** ------------------------------------------------------------- ** Syntax of First Order Predicate Logic with Equality (FOPLE), ** coded in CafeOBJ. This is used by CafeOBJ's resolution based ** inference engine "PigNose". ** ** --------------------- ** "1. ABSTRACT SYNTAX" ** --------------------- -- Abstract syntax is defined by the modules depicted below: " T&F -(TVAL)-> ABS-FOPL(TVAL) | | (TVAL) (BASE-SYNTAX) | | v v ABS-FOPL+EQ-1(TVAL, BASE-SYNTAX(TVAL)) " ** << BASIC THEORY MODULES >> -- T&F : defines truth value. -- ABS-FOPL : parameterized by T&V, and defines FOPL sentence. -- ABS-FOPL+EQ-1 : parameterized by T&V and ABS-FOPL with sharing -- T&V(truth vlaue), defines FOPL having an equality. -- ** we don't want BOOL to be imported implicitly set include BOOL off ** prefer very quiet mode set quiet on ** TRUTH VALUE sys:module* T&F { [ TruthValue ] ops #t #f : -> TruthValue } ** Abstract Syntax sys:module* ABS-FOPL (TVAL :: T&F) { ** Sentence is for general sentence of FOPL. ** NOTE: "We do not treat open formula." -- if we enconter an open formula, we take its unversal closure -- for free variables. -- we don't distinguish atoms or formulas, etc. at this level. [ TruthValue < Sentence ] ** connectives -- and op and : Sentence Sentence -> Sentence -- or op or : Sentence Sentence -> Sentence -- imply op imply : Sentence Sentence -> Sentence -- iff op iff : Sentence Sentence -> Sentence -- not op not : Sentence -> Sentence ** quantifiers -- Var is for bound logical variables of quatified formulas. [ Var ] op forall : Var Sentence -> Sentence op exists : Var Sentence -> Sentence } -- ;;; binding Lisp variable *allow-universal-sort* to t -- ;;; allows users to access invisible system's universal -- ;;; sorts. lispq (setq *allow-universal-sort* t) ** ABS-FOPL+EQ-1, -- theory module defining abstract syntax of FOPL with an equality. -- "NOTE: We treate only equalities of CafeOBJ. Completely ignore `transition' relation of `Rwriting Logic. " sys:module* ABS-FOPL+EQ-1 (TVAL :: T&F) { protecting (ABS-FOPL(TVAL)) ** equality op eq : Cosmos Cosmos -> Sentence } ** this is similar to the above, but have two different types of ** equalities. not used for now. -- module* ABS-FOPL+EQ-2 (TVAL :: T&F) -- { -- protecting (ABS-FOPL(TVAL)) -- ** equalities -- -- * eq : to be interpreted initially. -- -- * beq : to be interpreted loosely (behaviouraly). -- -- we prepare two kinds of equality here, because underlying logic -- -- of CafeOBJ module has corresponding equalities defined by -- -- `(c)eq' and '(c)beq'delaration form respectively. -- op eq : Cosmos Cosmos -> Sentence -- op beq : Cosmos Cosmos -> Sentence -- } ** ---------------------------------------------------- ** "2. MEDIATING MODULES for PRODUCING CONCRETE SYNTAX" ** ---------------------------------------------------- sys:module! MFOPL(TVAL :: T&F, SYNTAX :: ABS-FOPL(TVAL)){} sys:module! MFOPL+EQ-1(TVAL :: T&F, SYNTAX :: ABS-FOPL+EQ-1(TVAL)){} ** -------------------- ** "3. CONCRETE-SYNTAX" ** -------------------- "** NOTE ** The rest of the codes in this file are very implementation specific." -- Here are our general priciple of coding FOPL in our system: " 1. use built-in sort Bool for truth value of FOPL." -- (see the view `bool-as-truth-vlaue' below for the definition). -- then, ordinal Bool-valued operations are considerd as predicates. -- more precicely, they are treated as characteristic functions of -- corresponding predicates(if we derive p(t) = true, p(t) is a -- theorem.) -- NOTE: Some important execptions are described in "2" below. -- -- We are now faced with two levels of logical reasoning: the -- clause level (in FOPL) and the term level (world of CafeOBJ). -- we will simulate inference rules of FOPL on the term level. -- but to work reasonably on both level simultaneously -- (to keep the system sound w.r.t FOPL), the followings are -- necessary: -- (1) for every Bool valued operation p, -- any valid ground term `p(w)' must be either true or false, -- i.e.,`p(w) = true' or `p(w) = false' is a theorem. -- in other words, Bool must have exactly two elements denoting -- truth values (true and false.) -- (2) and of cource `true == false' must not be drivable. -- " 2. operators having Bool in its arity." -- 1. raises a problem in treating operators having Bool in its -- arity. any terms with such operators as root cannot be a valid -- sentence in FOPL. there are two cases: -- (a) op P : ... Bool ... -> Bool -- (b) op Q : ... Bool ... -> S -- S is not Bool -- -- ¡ú Basically, if one want to use PigNose system, one cannot -- define such operators, otherwise the result is unknown. -- System (may) warn if it found such operations. -- -- ¡ú But, built-in module BOOL does define such operators, -- and how about equality operators? -- -- One of the reason we adopt sort Bool as truth value is -- the usage of BOOL module by CafeOBJ users. BOOL provides -- basic vehicle of logical calclus and people use it as such, -- e.g, if we can show (t == t') = true, we conclude t = t'. -- And Bool-valued terms are used as the condition part of axioms, -- this is rather ungly, but its too late for now. -- -- ¡ü "Here is the way we took:" -- Lift up (partially) operations of BOOL to FOPL level. -- * "and" ---> & -- * "or" ---> | -- * "not" ---> ~ -- * "implies" ---> -> -- * "xor" ---> (p | q) & (~p | ~q) -- -- "We ignore all other operators". -- This means that users cannot use other operations. -- -- * We don't use above operations directly at FOPL level, -- instead system translate them to operators of FOPL -- in automatic manner. -- * Axioms of above operators are "not" used in inference. -- -- ¡ü "if_then_else_fi" -- Users "cannot" use if_then_else_fi. We don't provide any -- support for this operator. Also the following operators -- has no support: -- * "and-also" -- * "or-else" -- -- For the equality operations see "3" below. -- " 3. treatment of built-in equality operators:" -- We have two built-in equality operators == and =b= in CafeOBJ. -- in other words, we already internalize equalities of CafeOBJ -- in itself, i.e., if we derive `(t == t') = true' we can conclude -- t = t'(same as for =b=). -- We throw away these internalization at FOPL level and maps -- == (=b=) to equality of FOPL =. We do not distinguish == and =b= -- at FOPL level. -- Like "and" etc. we translate == and =b= to = of FOPL, do not directly -- use them in FOPL. -- System provides automatic translation of a formula (a term at CafeOBJ -- level) having `==', or `=b=' (and `and', `or' etc. also) to pure proper -- formula of FOPL. -- " 4. other built-in CafeOBJ predicates:" -- All of the other built-in predicates will not supported: -- They are -- "==>" -- "=(*)=>" -- ":is" -- " 5. Axioms of CafeOBJ moudule" -- (A) Transitions are NOT supported. System does not provide any support. -- They are completely ignored. -- -- (B) LHS = RHS if COND -- translated to -- "¢Ï[Vars] COND -> LHS = RHS" -- ("~(COND) | LHS = RHS" in clause form.) -- ** ** built-in Bool as truth value of FOPL ** view bool-as-truth-value from T&F to TRUTH-VALUE { sort TruthValue -> Bool, op #t -> true, op #f -> false } ** instance of concrete syntax of FOPL -- assumes that view bool-as-truth-value will be used together -- with this for instantiating FOPL. sys:module! FOPL-BASIC { protecting (TRUTH-VALUE) ** operators with coarity Bool are treated as predicates. -- we do not distingish `atom' and `formula' here, -- instead we simply declare `FoplSentence' for sentences of first -- order predicate logic. -- NOTE: FoplSentences are used as interface language only, -- they will be transfered to sets of clause for real -- computations. [ Bool < FoplSentence, VarDeclList ] ** VarDeclList is for declaring bound logical variables of -- quantifiers. we use CafeOBJ variables for logical variables -- of FOPL to be defined. this causes no problem, because -- all variables in ordinal terms are treated as universally -- quantified logical variables in corresponding clauses. ** wanted to be more neat and clean,.. op _,_ : Cosmos Cosmos -> VarDeclList { r-assoc } ** quantifiers : note precedence is defined as very low. -- forall op \A[_]_ : Cosmos FoplSentence -> FoplSentence {prec: 125 strategy:(0)} -- exists op \E[_]_ : Cosmos FoplSentence -> FoplSentence {prec: 125 strategy:(0)} ** connectives -- and op _&_ : FoplSentence FoplSentence -> FoplSentence {prec: 101 r-assoc strategy:(0)} -- or op _|_ : FoplSentence FoplSentence -> FoplSentence {prec: 107 r-assoc strategy: (0)} -- implies op _->_ : FoplSentence FoplSentence -> FoplSentence {prec: 120 r-assoc strategy: (0)} -- iff op _<->_ : FoplSentence FoplSentence -> FoplSentence {prec: 120 r-assoc strategy:(0)} -- not : note very high precedence op ~_ : FoplSentence -> FoplSentence {prec: 0 strategy:(0)} } ** instance of concrete syntax of FOPL with an equality ** sys:module! FOPL-BASIC+EQ-1 { protecting (FOPL-BASIC) op _=_ : Cosmos Cosmos -> FoplSentence {prec: 51 strategy: (0)} } ** instance of concrete syntax of FOPL with two equality -- module! FOPL-BASIC+EQ-2 -- { -- protecting (FOPL-BASIC+EQ-1) -- op _*=*_ : Cosmos Cosmos -> FoplSentence -- {prec: 113 strategy: (0)} -- } ** The concrete syntax we use. ** FOPL-SENTENCE ** make FOPLE-SENTENCE (MFOPL+EQ-1(bool-as-truth-value, FOPL-BASIC+EQ-1 { sort Sentence -> FoplSentence, sort Var -> Cosmos, op and -> _&_, op or -> _|_, op imply -> (_->_), op iff -> _<->_, op forall -> \A[_]_, op exists -> \E[_]_, op not -> ~_, op eq -> _=_})) ** ** We need some Lisp accessible values for PigNose engine. ** ** `install-fopl-sentece' treat this. lispq (install-fopl-sentence "FOPLE-SENTENCE" :eq '("_" "=" "_")) ** >>NOT USED<< -- internal representation of formula: -- -- module! FOPL-CLAUSE-FORM -- { -- protecting(FOPL-SENTENCE) -- [ FoplClause, -- FoplSentence < FoplSentenceSeq ] -- op _;_ : FoplSentenceSeq FoplSentenceSeq -> FoplSentenceSeq {r-assoc} -- -- ![_] performs formula to clause form translation. just for debug. -- op ![_] : FoplSentenceSeq -> FoplClause -- op [_] : FoplSentenceSeq -> FoplClause -- } -- lispq (install-fopl-clause-form) ** Users must import this to use "PigNose". ** ** FOPL-CLAUSE sys:module! FOPL-CLAUSE { protecting (FOPLE-SENTENCE) -- built-in equality demodulators. pred EQ : Cosmos Cosmos {demod} pred NE : Cosmos Cosmos {demod} -- for answer literal. pred $Ans : Cosmos eq[:BDEMOD]: EQ(X:Cosmos, Y:Cosmos) = #!! (coerce-to-bool (term-equational-equal x y)) . eq[:BDEMOD]: NE(X:Cosmos, Y:Cosmos) = #!! (coerce-to-bool (not (term-equational-equal x y))) . } ** for internalize $Ans lispq (install-fopl-clause) ** We don't need to touch universal sort any more. lispq (setq *allow-universal-sort* nil) ** built in for invariance check. lispq (setq *pn-proof-module* (eval-ast (%module-decl* "( invariance check )" :object :hard nil))) lispq (setq *pn-refinement-check-module* (eval-ast (%module-decl* "( refinment check )" :object :hard nil))) lispq (setup-pignose) ** set include BOOL on set quiet off **> providing fopl provide fopl ** eof cafeobj-1.5.4/BigPink/codes/formula.lisp0000644000000000000000000014704412605345045016604 0ustar rootroot;;;-*-Mode:LISP; Package: CHAOS; Base:10; Syntax:Common-lisp -*- ;;; ;;; Copyright (c) 2000-2015, Toshimi Sawada. All rights reserved. ;;; ;;; Redistribution and use in source and binary forms, with or without ;;; modification, are permitted provided that the following conditions ;;; are met: ;;; ;;; * Redistributions of source code must retain the above copyright ;;; notice, this list of conditions and the following disclaimer. ;;; ;;; * Redistributions in binary form must reproduce the above ;;; copyright notice, this list of conditions and the following ;;; disclaimer in the documentation and/or other materials ;;; provided with the distribution. ;;; ;;; THIS SOFTWARE IS PROVIDED BY THE AUTHOR 'AS IS' AND ANY EXPRESSED ;;; OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED ;;; WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ;;; ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY ;;; DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL ;;; DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE ;;; GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS ;;; INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, ;;; WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING ;;; NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS ;;; SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. ;;; ;;; (in-package :chaos) #|============================================================================= System:Chaos Module:BigPink File:formula.lisp =============================================================================|# #-:chaos-debug (declaim (optimize (speed 3) (safety 0) #-GCL (debug 0))) #+:chaos-debug (declaim (optimize (speed 1) (safety 3) #-GCL (debug 3))) ;;;***************************************************************************** ;;; ALL ABOUT FOPL FORMULA ;;;***************************************************************************** (defvar *debug-formula* nil) (declaim (special *debug-formula-nest*) (type fixnum *debug-formula-nest*)) (defvar *debug-formula-nest* 0) ;;;** golobals moved to `glob.lisp' ;;; top-level switch (?) -- may be later. ;;; if t, simplifies formula during formula to clause translation by ;;; - conflict tautology (ex. p|~p|q --> q) ;;; - discarding weaker conjuncts (ex. (p|q) & (p|q|r) --> p|q) ;;; - discarding stronger disjuncts (ex. (p&q)|(p&q&r) --> p&q) ;;; now defined in `glob.lisp' ;;; (pn-flag simplify-fol) ;;; binds last proccessed list of clause, i.e., return value of ;;; the function `formula->clause-1' ;;; now defined in `glob.lisp' ;;; (defvar $$raw-clause nil) ;;; ;;; ;;; (defun pn-term-equational-equal (t1 t2) (declare (type term t1 t2) (values (or null t))) (or (term-eq t1 t2) (let ((t1-body (term-body t1)) (t2-body (term-body t2))) (cond ((term$is-applform? t1-body) (let ((f1 (term$head t1-body))) ;; (break) (if (theory-info-empty-for-matching (method-theory-info-for-matching f1)) (match-with-empty-theory t1 t2) (E-equal-in-theory (method-theory f1) t1 t2))) ) ((term$is-builtin-constant? t1-body) (term$builtin-equal t1-body t2-body)) ((term$is-builtin-constant? t2-body) nil) ;; ((term$is-variable? t1-body) (setq *used==* t) (or (eq t1-body t2-body) (and (term$is-variable? t2-body) (eq (variable$name t1-body) (variable$name t2-body)) (eq (term$sort t1-body) (term$sort t2-body))) )) ((term$is-variable? t2-body) (setq *used==* t) nil) ((term$is-lisp-form? t1-body) (and (term$is-lisp-form? t2-body) (equal (term$lisp-code-original-form t1-body) (term$lisp-code-original-form t2-body)))) (t (break "pn-term-equational-equal: not-implemented ~s" t1)) )))) ;;; ======================================== ;;; FOPL FORMULA --> CLAUSE FORM TRANSLATION ;;; ======================================== ;;; FORMULA->CLAUSE-1 : FoplSentence -> LIST[Clause] ;;; given a fopl sentence translates it to list of clauses. ;;; (declaim (special *current-formula*) (type (or null term) *current-formula*)) (defvar *current-formula* nil) (defun formula->clause-1 (sentence psys &optional (axiom nil)) (declare (type (or null term) sentence) (type psystem psys) (type (or null axiom) axiom) (values list)) (if sentence (let ((*current-formula* sentence)) ;; translate to Conjunctive Normal Form. (cnf sentence psys) ;; to clause list (setq $$raw-clause (cnf-to-list sentence psys)) ;; (dolist (cl $$raw-clause) (setf (clause-axiom cl) axiom) (cl-unique-variables cl)) $$raw-clause) nil)) ;;; CNF : FoplSentence -> FoplSentence' ;;; makes Conjuncitve Normal Form. ;;; (defun cnf (sentence psys) (declare (type term sentence) (type psystem psys) (values term)) (when *debug-formula* (format t "~%** start formula to cnf translation **") (print-next) (with-in-module ((psystem-module psys)) (term-print sentence))) ;; assumes input sentence is valid formula ;; (check-fopl-syntax sentence) (let ((type (fopl-sentence-type sentence))) (declare (type symbol type)) (when (and (memq type '(:eq :beq)) (term-is-lisp-form? (term-arg-2 sentence))) (return-from cnf sentence))) ;; normalize quantified formula ;; \Q[v1...vn]S --> \Q[v1]\Q[v2]...\Q[vn]S (normalize-quantifiers sentence) ;; convert to NNF(negation normal form.) (setq sentence (neg-normal-form sentence)) ;; skolemization -- eliminate \Es (skolemize sentence) ;; skolemize may introduce new operators. (prepare-for-parsing (psystem-module psys)) ;; make all universally quantified variables unique. (unique-all-variables sentence) ;; eliminate quantifiers -- eliminate \As (zap-quantifiers sentence) ;; convert to CNF(conjunctive normal form). (conj-normal-form sentence) (when *debug-formula* (format t "~%*** done ***")) sentence ) ;;; NNF-SKOLEMIZE ;;; a little utils for testing. ;;; skolemize then apply nnf. (defun nnf-skolemize (sentence) (declare (type term sentence) (values term)) (check-fopl-syntax sentence) (unique-all-variables (skolemize (neg-normal-form (normalize-quantifiers sentence)))) sentence) ;;; CAFEOBJ-TERM->FORMULA : Term -> Term ;;; ;;; NOTE: brand new term of FOPL form will be returned. ;;; (defun cafeobj-term->formula (f) (declare (type term f) (values term)) (when *debug-formula* (format t "~%[cafeobj-term->formula]: ") (term-print f)) (let ((res nil)) (declare (type (or null term) res)) (cond ((term-is-application-form? f) (let ((args (mapcar #'(lambda (x) (cafeobj-term->formula x)) (term-subterms f))) (head (term-head f))) (declare (type list args) (type method head)) (setq f (make-applform-simple (term-sort f) head args)) (cond ((memq head (list *bool-equal* *beh-equal* *eql-op*)) #|| (when (eq head *beh-eq-pred*) (with-output-chaos-warning () (format t "=*= cannot be used: ") (term-print f))) ||# (setq res (make-term-with-sort-check *fopl-eq* (list (term-arg-1 f) (term-arg-2 f))))) ((eq head *bool-nonequal*) (setq res (make-term-with-sort-check *fopl-neg* (list (make-term-with-sort-check *fopl-eq* (list (term-arg-1 f) (term-arg-2 f))))))) ((memq head (list *bool-and* *bool-or* *bool-imply* *bool-iff* *bool-and-also* *bool-or-else* )) (setq res (make-term-with-sort-check (if (or (eq head *bool-and*) (eq head *bool-and-also*)) *fopl-and* (if (or (eq head *bool-or*) (eq head *bool-or-else*)) *fopl-or* ;; *bool-imply* (if (eq head *bool-imply*) *fopl-imply* ;; else *bool-iff* *fopl-iff*) )) (list (term-arg-1 f) (term-arg-2 f)))) (when (or (eq head *bool-and-also*) (eq head *bool-or-else*)) (with-output-chaos-warning () (format t "operator ~{~a~} is appeared in FOPL sentence, replacing..." (method-symbol head)))) ) ;; ((eq head *bool-not*) (setq res (make-term-with-sort-check *fopl-neg* (list (term-arg-1 f))))) ((eq head *bool-xor*) ;; p xor q --> (~p | ~q)&(p | q) (setq res (make-term-with-sort-check *fopl-and* (list (make-term-with-sort-check *fopl-or* (list (make-term-with-sort-check *fopl-neg* (list (term-arg-1 f))) (make-term-with-sort-check *fopl-neg* (list (term-arg-2 f))))) (make-term-with-sort-check *fopl-or* (list (allocate-new-term-cell (term-arg-1 f)) (allocate-new-term-cell (term-arg-2 f)))))) )) ;;; #|| ((eq head *bool-if*) (when (and (sort= (term-sort (term-arg-1 f)) *bool-sort*) (sort= (term-sort (term-arg-2 f)) *bool-sort*)) )) ||# ;;; ((memq head (list *bool-if* *beh-eq-pred* ;; *bool-and-also* ;; *bool-or-else* *sort-membership*)) (with-output-chaos-warning () (format t "you cannot use ~a: " (method-symbol head)) (term-print f)) (setq res (copy-term-reusing-variables f (term-variables f)))) ;; (t (setq res (copy-term-reusing-variables f (term-variables f))))) )) ;; ((term-is-variable? f) (setq res f)) ;; (t (setq res (simple-copy-term f)))) (when *debug-formula* (print-next) (term-print res)) res)) ;;; NORMALIZE-QUANTIFIERS : Sentence -> Sentence' ;;; - \Q[X1,...,Xn]S ---> \Q[X1]\Q[X2]...\Q[Xn]S ;;; (defun normalize-quantifiers (form) (declare (type term form)) (let ((bound-vars nil) (all-vars (term-variables form)) (free-vars nil) (res nil)) (declare (type list bound-vars all-vars free-vars) (type (or null term) res)) (labels ((nq (sentence) (let ((type (fopl-sentence-type sentence)) (*debug-formula-nest* (1+ *debug-formula-nest*))) (declare (type symbol type)) (when *debug-formula* (format t "~%~d>[normalize-quantifiers]: " *debug-formula-nest*) (term-print sentence)) (case type (:atom) ; nothing to do ((:forall :exists) (let ((vardecls (term-arg-1 sentence))) (cond ((term-is-variable? vardecls) (pushnew vardecls bound-vars :test #'variable-eq) sentence) (t (let ((vars (reverse (term-variables vardecls))) (new-form nil)) (dolist (v vars) (pushnew v bound-vars :test #'variable-eq)) (setq new-form (make-term-with-sort-check (if (eq type :forall) *fopl-forall* *fopl-exists*) (list (car vars) (term-arg-2 sentence)))) (dolist (v (cdr vars)) (setq new-form (make-term-with-sort-check (if (eq type :forall) *fopl-forall* *fopl-exists*) (list v new-form)))) (term-replace sentence new-form) )))) ;; recurse (nq (term-arg-2 sentence)) ) (:not (nq (term-arg-1 sentence))) (otherwise (nq (term-arg-1 sentence)) (nq (term-arg-2 sentence)) )) ;; (when *debug-formula* (format t "~%<~d " *debug-formula-nest*) (term-print sentence)) ;; sentence))) ;; (setq res (nq form)) (setq free-vars (set-difference all-vars bound-vars :test #'variable-eq)) (when free-vars (let ((new-form (copy-term-reusing-variables (make-universal-closure free-vars res) all-vars))) (term-replace res new-form))) ))) (defun make-universal-closure (var-list sentence) (declare (type list var-list) (type term)) (let ((res nil)) (declare (type (or null term) res)) (dolist (var var-list) (declare (type term var)) (if res (setq res (make-term-with-sort-check *fopl-forall* (list var res))) (setq res (make-term-with-sort-check *fopl-forall* (list var sentence))))) res)) ;;; NETGATE-SENTENCE : Sentence -> Sentence ;;; - given sentence is changed to its negation. ;;; - does not move negation signs inward. ;;; returns negated sentence ;;; (defun negate-sentence (sentence &optional copy variables) (declare (type term sentence) (type list variables)) (let ((type (fopl-sentence-type sentence))) (declare (type symbol type)) (when *debug-formula* (with-output-msg() (princ "> negate-sentence: ") (term-print sentence))) (case type (:not (let ((new-term (if copy (copy-term-reusing-variables (term-arg-1 sentence) variables) (allocate-new-term-cell (term-arg-1 sentence))))) ;; (term-replace sentence new-term) (setq sentence new-term))) (otherwise (let ((new-term (make-term-with-sort-check *fopl-neg* (list (if copy (copy-term-reusing-variables sentence variables) (allocate-new-term-cell sentence)))))) ;; (term-replace sentence new-term) (setq sentence new-term) ))) (when *debug-formula* (with-output-msg () (princ "< negate-sentence: ") (term-print sentence))) sentence)) ;;; NEG-NORMAL-FORM : Sentence -> Sentence' ;;; - translate given Sentence to negation normal form (NNF) by ;;; removing -> and <->, ;;; - and moving negation all the way in. ;;; ;;; *NOTE: we prefer conjunction ;;; (A <-> B) -----> ((~A | B)&(~B | A)) ;;; ~(A <-> B) -----> ((A | B)&(~A | ~B)) ;;; ;;; *ASSUMPTION: given sentence is a really FoplSentence. ;;; *CAUTION: given Sentence will be destructively modified unless ;;; it is an atomic formula. (defun neg-normal-form (sentence &optional variables) (declare (type term sentence) (type list variables)) (let ((type (fopl-sentence-type sentence)) (*debug-formula-nest* (1+ *debug-formula-nest*))) (declare (type symbol type)) (when *debug-formula* (format t "~%~d>[neg-normal-form]: " *debug-formula-nest*) (term-print sentence)) (case type (:atom sentence) ;; A <-> B ---> neg-normal-form((~A | B) & (~B | A)) (:iff (let ((old-arg1 (allocate-new-term-cell (term-arg-1 sentence))) ; A (old-arg2 (allocate-new-term-cell (term-arg-2 sentence)))) ; B (let* ((new-arg1 ; ~A | B (make-term-with-sort-check *fopl-or* (list (negate-sentence old-arg1 :copy variables) ; ~A (copy-term-reusing-variables old-arg2 ; B variables) ))) (new-arg2 (make-term-with-sort-check *fopl-or* (list (negate-sentence old-arg2 :copy variables) ; ~B (copy-term-reusing-variables (term-arg-1 sentence) variables) ; A )))) (term-replace sentence (make-term-with-sort-check *fopl-and* (list new-arg1 new-arg2))) (neg-normal-form sentence variables) sentence))) ;; A -> B ---> neg-normal-form(~A | B) (:imply (term-replace sentence (make-term-with-sort-check *fopl-or* (list (negate-sentence (term-arg-1 sentence) :copy variables) (copy-term-reusing-variables (term-arg-2 sentence) variables)))) (neg-normal-form sentence variables) sentence) ;; \A[Vars]Formula ---> \A[Vars] neg-normal-form(Formula) ;; same as for \E ((:forall :exists) (setf (term-arg-2 sentence) (neg-normal-form (term-arg-2 sentence) variables)) sentence) ;; A & B ---> neg-normal-form(A) & neg-normal-form(B) ;; same as for | ((:and :or :eq :beq) (setf (term-arg-1 sentence) (neg-normal-form (term-arg-1 sentence) variables)) (setf (term-arg-2 sentence) (neg-normal-form (term-arg-2 sentence) variables)) sentence) ;; not (:not (let* ((arg (term-arg-1 sentence)) (arg-type (fopl-sentence-type arg))) (case arg-type ;; (:atom ;; ******************* (when (term-is-applform? arg) (if (is-true? arg) (term-replace sentence (new-term *bool-false*)) (if (is-false? arg) (term-replace sentence (new-term *bool-true*))))) ;; ******************* sentence) ;; ~(A -> B) --> neg-normal-form(~(~A | B)) (:imply (setf (term-arg-1 sentence) (make-term-with-sort-check *fopl-or* (list (negate-sentence (term-arg-1 arg) :copy variables) (allocate-new-term-cell (term-arg-2 arg))))) (neg-normal-form sentence variables) sentence) ;; ~(A <-> B) --> neg-normal-form((A|B) & (~A | ~B)) (:iff (let ((old-arg1 (allocate-new-term-cell (term-arg-1 arg))) (old-arg2 (allocate-new-term-cell (term-arg-2 arg)))) (term-replace sentence (make-term-with-sort-check *fopl-and* (list (make-term-with-sort-check ; A | B *fopl-or* (list old-arg1 old-arg2)) (make-term-with-sort-check ; ~A | ~B *fopl-or* (list (negate-sentence (term-arg-1 arg) :copy variables) (negate-sentence (term-arg-2 arg) :copy variables)))))) (neg-normal-form sentence variables) sentence)) ;; ~\A[Vars]S --> \E[Vars]neg-normal-form(~S) ;; ~\E[Vars]S --> \A[Vars]neg-normal-form(~S) ((:forall :exists) (term-replace sentence (make-term-with-sort-check (if (eq arg-type :forall) *fopl-exists* *fopl-forall*) (list (allocate-new-term-cell (term-arg-1 arg)) ; var list (neg-normal-form (negate-sentence (term-arg-2 arg) nil variables) variables)))) sentence) ;; ~(A & B) --> neg-normal-form(~A) | neg-normal-form(~B) ;; ~(A | B) --> neg-normal-form(~A) & neg-normal-form(~B) ((:and :or) (term-replace sentence (make-term-with-sort-check (if (eq arg-type :and) *fopl-or* *fopl-and*) (list (neg-normal-form (negate-sentence (term-arg-1 arg) :copy variables) variables) (neg-normal-form (negate-sentence (term-arg-2 arg) :copy variables) variables)))) sentence) ;; ~~A --> neg-normal-form(A) (:not ; double negation (term-replace sentence (neg-normal-form (term-arg-1 arg) variables)) sentence) ))) ) ;; (when *debug-formula* (format t "~%~d< " *debug-formula-nest*) (term-print sentence)) ;; sentence)) ;;; SKOLEMIZE : Sentence -> Sentence' ;;; - Skolemize a formula, i.e., existential quantifiers are deleted, ;;; and old existentially qulified variables are replaced by skolem ;;; function applications. ;;; ;;; *Assumption: given sentence is in negation normal form ;;; (defun make-skolem-function-name (sort variables) (declare (type sort* sort) (type list variables)) (let* ((sname (sort-name sort)) (num-ent (assq sname *sk-function-num*)) (num nil)) (declare (type symbol sname) (type list num-ent) (type (or null fixnum) num)) (if num-ent (progn (setq num (the fixnum (cdr num-ent))) (incf (the fixnum (cdr num-ent)))) (progn (push (cons sname 2) *sk-function-num*) (setq num 1))) (if variables (format nil "#f~d@~a" (the fixnum num) (string sname)) (format nil "#c~d@~a" (the fixnum num) (string sname))) )) (defun skolemize (formula) (declare (type term formula) (values term)) (let ((variables nil)) (declare (type list variables)) (labels ((skolem (sentence) (declare (type term sentence)) ;; skolemize given sentence w.r.t universally quantified ;; vars (assumes `variables' holds them). (let ((type (fopl-sentence-type sentence))) (declare (type symbol type)) (case type ((:and :or) (skolem (term-arg-1 sentence)) (skolem (term-arg-2 sentence))) (:forall (when (member (term-arg-1 sentence) variables :test #'variable=) ;; rename current variable, because we are ;; already in the scope of universaly quantified ;; variable with that name and sort. (let ((new-var (pn-make-new-variable (term-arg-1 sentence)))) ;; in our setting, all variables are shared, ;; thus we must make brand new variables here. ;; and substitute every occurences with the ;; new one. (rename-free-formula (term-arg-2 sentence) (term-arg-1 sentence) new-var) (setf (term-arg-1 sentence) new-var))) ;; entry current bound variable (push (term-arg-1 sentence) variables) (skolem (term-arg-2 sentence)) ;; delete current var (pop variables)) (:exists ;; must skolemize subformula first to avoid ;; problem in \Ax...\Ey...\Ex F(x,y) (skolem (term-arg-2 sentence)) (let* ((mod (get-context-module)) (skfun-name (make-skolem-function-name (term-sort (term-arg-1 sentence)) variables))) (multiple-value-bind (op meth) (declare-operator-in-module (list skfun-name) (mapcar #'(lambda (x) (variable-sort x)) (reverse variables)) (variable-sort (term-arg-1 sentence)) mod nil ; constructor? nil ; behavioural? always nil. ;; set coherent iff having hidden sort arguments (some #'(lambda (x) (sort-is-hidden (variable-sort x))) variables) ) (declare (ignore op)) ;; we may need to check given operation is a ;; skolem function at later stages. (pushnew meth (module-skolem-functions mod) :test #'eq) ;; (let ((sk-form (make-term-with-sort-check meth (reverse variables)))) (term-replace sentence (subst-free-formula (term-arg-2 sentence) (term-arg-1 sentence) sk-form)) )))) ;; following cases handles bad situations. ;; given sentence should be a NNF. (:not (unless (memq (fopl-sentence-type (term-arg-1 sentence)) '(:atom :eq :beq)) (with-output-chaos-error ('invalid-formula) (princ "skolemize gets negated non-atom") (term-print sentence))) sentence) ((:imply :iff) (with-output-chaos-error ('invalid-formula) (princ "skolemize gets: ") (term-print sentence))) ;; atom. (otherwise sentence)) ;; done sentence))) ;; (skolem formula) ))) ;;; RENAME-FREE-FORMULA : sentence old new -> sentence' ;;; - rename free occurrences of variable old in sentence to new. ;;; (defun rename-free-formula (sentence old new) (declare (type term sentence old new)) (let ((type (fopl-sentence-type sentence))) (declare (type symbol type)) (case type ((:forall :exists) (unless (variable-eq (term-arg-1 sentence) old) (rename-free-formula (term-arg-2 sentence) old new))) (otherwise (subst-free-term sentence old new))))) ;;; SUBST-FREE-FORMULA : sentence form -> sentence' ;;; (defun subst-free-formula (sentence var form) (declare (type term sentence var form) (values term)) (let ((type (fopl-sentence-type sentence))) (declare (type symbol type)) (case type (:atom (subst-free-term sentence var form) sentence) ((:forall :exists) (when (variable-eq var (term-arg-1 sentence)) (setf (term-arg-1 sentence) form)) (subst-free-formula (term-arg-2 sentence) var form)) ((:and :or) (subst-free-formula (term-arg-1 sentence) var form) (subst-free-formula (term-arg-2 sentence) var form)) (:not (subst-free-formula (term-arg-1 sentence) var form)) (:eq (subst-free-term sentence var form) #|| (subst-free-formula (term-arg-1 sentence) var form) (subst-free-formula (term-arg-2 sentence) var form) ||# ) (otherwise (with-output-panic-message() (princ "illegal formula appeared process subst-free-formula") (term-print sentence)))) sentence)) (defun subst-free-term (term var form) (declare (type term term term) (values term)) (when *debug-formula* (format t "~%>[subst-free-term]:") (term-print term)) (when (term-is-application-form? term) (dotimes (x (length (term-subterms term))) (let ((sub (term-arg-n term x))) (cond ((term-is-variable? sub) (when (variable-eq var sub) (setf (term-arg-n term x) (copy-term-reusing-variables form)))) (t (subst-free-term sub var form)))))) (when *debug-formula* (format t "~%<[subst-free-term]:") (term-print term)) term) ;;; UNIQUE-ALL-VARIABLES : Sentenece -> Sentence' ;;; - make all universally quantified variables unique. ;;; ;;; *Assumption: sentence is in NNF & Skolemized. ;;; (defun unique-all-variables (sentence) (declare (type term sentence)) (let ((variables nil)) (declare (type list variables)) (labels ((unique (f) (declare (type term f)) (let ((type (fopl-sentence-type f))) (declare (type symbol type)) (when *debug-formula* (format t "~%>[unique-all-variables]: ~a" type) (term-print f)) (case type (:atom) ; do nothing ((:not :and :or :eq :beq) (dolist (s (term-subterms f)) (unique s))) (otherwise ; forall (if (member (term-arg-1 f) variables :test #'variable=) ;; rename current variable, because already have a ;; quantified var with that name (let ((new-var (pn-make-new-variable (term-arg-1 f)))) (rename-free-formula (term-arg-2 f) (term-arg-1 f) new-var) (setf (term-arg-1 f) new-var)) ;; else (let ((new-var (pn-make-new-variable (term-arg-1 f)))) (rename-free-formula (term-arg-2 f) (term-arg-1 f) new-var) (setf (term-arg-1 f) new-var) (push (term-arg-1 f) variables))) ;; recurse (unique (term-arg-2 f)) )) (when *debug-formula* (format t "~%<[unique-var..]:") (term-print f)) ))) ;; (unique sentence) sentence))) ;;; ZAP-QUANTIFIERS : Sentence -> Sentence' ;;; - delete quantifiers and mark quantified variables ;;; *Assumption: given sentence is skolemized nnf with unique ;;; universally quantified variables. ;;; (defun zap-quantifiers (sentence) (declare (type term sentence) (values term)) (let ((type (fopl-sentence-type sentence)) (*debug-formula-nest* (1+ *debug-formula-nest*))) (declare (type symbol type)) (when *debug-formula* (format t "~%~d>[zap-quantifiers]: " *debug-formula-nest*) (term-print sentence)) ;; (case type ((:not :and :or :eq :beq) (map nil #'(lambda (x) (zap-quantifiers x)) (term-subterms sentence)) sentence) (:forall (term-replace sentence (zap-quantifiers (term-arg-2 sentence))) sentence) (:atom) (otherwise (with-output-panic-message () (format t "zap-quantifiers accepted illegal formula type ~a: " type) (term-print sentence)))) ;; (when *debug-formula* (format t "~%~d< " *debug-formula-nest*) (term-print sentence)) sentence)) ;;; CONJ-NORMAL-FORM : Sentence -> Sentence' ;;; - convert NNF sentence to CNF (conjuctive normal form). ;;; ;;; *Assumption: sentence is nnf, skolemized, all quantifiers are ;;; already eliminated. (defun conj-normal-form (sentence) (declare (type term sentence) (values term)) (let ((type (fopl-sentence-type sentence)) (*debug-formula-nest* (1+ *debug-formula-nest*))) (declare (type symbol type)) (when *debug-formula* (format t "~%~d>[cnj-normal-form]: " *debug-formula-nest*) (term-print sentence)) (case type ((:and :or) ;; convert sub terms to CNF (conj-normal-form (term-arg-1 sentence)) (conj-normal-form (term-arg-2 sentence)) ;; then itself (cond ((eq type :and) (when (pn-flag simplify-fol) (conflict-tautology sentence) (subsume-conjuncts sentence))) (t ; or ;; or ditribution (distribute-or sentence)))) (otherwise sentence)) (when *debug-formula* (format t "~%~d< " *debug-formula-nest*) (term-print sentence)) sentence)) ;;; DISTRIBUTE-OR : Sentence -> Sentence' ;;; - distribute or over and. ;;; A | (B & C) --> (A | B) & (A | C) ;;; *Assumption: given sentence is an OR node, whose ;;; subterms are already in CNF. ;;; (defun distribute-or (sentence) (declare (type term sentence) (values term)) (unless (eq :or (fopl-sentence-type sentence)) (return-from distribute-or sentence)) (let ((*debug-formula-nest* (1+ *debug-formula-nest*))) (when *debug-formula* (format t "~%~d>*distribute | over &: " *debug-formula-nest*) (term-print sentence)) (when (pn-flag simplify-fol) ;; simplify (conflict-tautology sentence) (subsume-disjuncts sentence)) ;; (unless (eq (fopl-sentence-type sentence) :or) (when *debug-formula* (format t "~%~d< " *debug-formula-nest*) (term-print sentence)) (return-from distribute-or sentence)) (let* ((args (gather-subterms-with-top (term-head sentence) sentence)) (and-form (find-if #'(lambda (x) (eq :and (fopl-sentence-type x))) args))) (if and-form (setq args (delete and-form args))) (unless and-form ;; there's no and-form in subterms. (when *debug-formula* (format t "~%~d< " *debug-formula-nest*) (term-print sentence)) (return-from distribute-or sentence)) ;; (let ((arg-1 (pop args)) (new-form nil)) (setq new-form (make-term-with-sort-check *fopl-and* (list (distribute-or (make-term-with-sort-check *fopl-or* (list arg-1 ; known to be not :or form (distribute-or (term-arg-1 and-form)) ))) (distribute-or (make-term-with-sort-check *fopl-or* (list (copy-term-reusing-variables arg-1) (distribute-or (term-arg-2 and-form)))))))) (unless args (term-replace sentence new-form) (when *debug-formula* (format t "~%~d< " *debug-formula-nest*) (term-print sentence)) (return-from distribute-or sentence)) ;; (setq new-form (make-right-assoc-normal-form-with-sort-check *fopl-or* (cons new-form args))) ;; (term-replace sentence (distribute-or (allocate-new-term-cell new-form))) (when (pn-flag simplify-fol) ;; simplify (conflict-tautology sentence) (subsume-conjuncts sentence)) ;; (when *debug-formula* (format t "~%~d< " *debug-formula-nest*) (term-print sentence)) sentence)))) ;;; GATHER-SUBTERMS-WITH-TOP : op sentence -> List[sentence] ;;; (defun gather-subterms-with-top (op sentence) (declare (type method op) (type term sentence)) (list-assoc-subterms sentence op)) ;;; CONFLICT-TAUTOLOGY : Sentence -> Sentence' ;;; - if sentence is an and-form, reduce to empty disjunction (false) ;;; iff conflicting conjuncts occur. ;;; P & ~P & ... -> false ;;; - if sentence is an or-form, reduce to empty conjunction (true) ;;; iff conflicting disjuncts occur. ;;; P | ~P | ... -> true ;;; (defun conflict-tautology (sentence) (declare (type term sentence) (values term)) (let ((type (fopl-sentence-type sentence)) (*debug-formula-nest* (1+ *debug-formula-nest*))) (declare (type symbol type)) (unless (or (eq type :and) (eq type :or)) (return-from conflict-tautology sentence)) ;; (when *debug-formula* (format t "~%~d>*conflict-tautology: " *debug-formula-nest*) (term-print sentence)) ;; (let ((subs (gather-subterms-with-top (term-head sentence) sentence))) (declare (type list subs)) (let ((org-sub-len (length subs)) (confliction nil)) (declare (type fixnum org-sub-len)) (case type (:and (when (find-if #'(lambda (x) (is-false? x)) subs) (setq confliction t)) (unless confliction (setq subs (remove-if #'(lambda (x) (is-true? x)) subs))) ) (:or (when (find-if #'(lambda (x) (is-true? x)) subs) (setq confliction t)) (unless confliction (setq subs (remove-if #'(lambda (x) (is-false? x)) subs))) )) ;; (unless confliction (dolist (s subs) (let ((sign (eq (fopl-sentence-type s) :not))) (when (setq confliction (find-if #'(lambda (x) (and (not (eq s x)) (cond (sign ; s is negation (pn-term-equational-equal (term-arg-1 s) x)) (t ; s is not negation (and (eq (fopl-sentence-type x) :not) (pn-term-equational-equal s (term-arg-1 x))))))) subs)) (return))))) ;; (when confliction (if (eq type :and) (term-replace sentence (new-term *bool-false*)) (term-replace sentence (new-term *bool-true*))) (when *debug-formula* (format t "~%<~d: " *debug-formula-nest*) (term-print sentence)) (return-from conflict-tautology sentence) ) ;; (unless (= org-sub-len (the fixnum (length subs))) (let ((new-form nil)) (if (cdr subs) (setq new-form (make-right-assoc-normal-form (if (eq type :and) *fopl-and* *fopl-or*) subs)) (if subs (setq new-form (car subs)) (setq new-form (if (eq type :and) (new-term *bool-true*) (new-term *bool-false*))))) (term-replace sentence new-form))) ;; (when *debug-formula* (format t "~%<~d: " *debug-formula-nest*) (term-print sentence)) sentence)))) ;;; SUBSUME-CONJUNCTS : Sentence -> Sentence' ;;; - given a conjuction, discard weaker conjuncts. ;;; - the result is guaranteed to be equivalent to the original. ;;; (defun subsume-conjuncts (c) (declare (type term c)) (unless (eq (fopl-sentence-type c) :and) (return-from subsume-conjuncts c)) (let ((subs (gather-subterms-with-top (term-head c) c)) (*debug-formula-nest* (1+ *debug-formula-nest*))) (declare (type list subs)) (when *debug-formula* (format t "~%~d>*subsume-conjuncts: " *debug-formula-nest*) (term-print c)) (let ((res (copy-list subs))) (declare (type list res)) (dolist (s subs) (declare (type term s)) (if (find-if #'(lambda (x) (and (not (term-eq s x)) (gen-subsume-prop x s))) res) (setq res (delete s res)) ;; (setq res (delete-if #'(lambda (x) (and (not (term-eq s x)) (gen-subsume-prop s x))) res)))) ;; (unless (= (the fixnum (length subs)) (the fixnum (length res))) (if (cdr res) (let ((new-and-term (make-term-with-sort-check *fopl-and* (list (car res) (cadr res))))) (dolist (arg (cddr res)) (setq new-and-term (make-term-with-sort-check *fopl-and* (list new-and-term arg)))) (term-replace c new-and-term)) (term-replace c (car res)))) ;; (when *debug-formula* (format t "~%~d< " *debug-formula-nest*) (term-print c)) ;; c))) ;;; SUBSUME-DISJUNCTS (d) ;;; - given a disjunction, discard stronger disjuncts. ;;; - the result is eqivalent ;;; the dual of normal clause subsumption. ;;; (defun subsume-disjuncts (d) (declare (type term d) (values term)) (unless (eq (fopl-sentence-type d) :or) (return-from subsume-disjuncts d)) (let ((subs (gather-subterms-with-top (term-head d) d)) (*debug-formula-nest* (1+ *debug-formula-nest*))) (declare (type list subs)) (when *debug-formula* (format t "~%~d>*subsume-disjuncts: " *debug-formula-nest*) (term-print d)) ;; (let ((res (copy-list subs))) (declare (type list res)) (dolist (s subs) (declare (type term s)) (if (find-if #'(lambda (x) (and (not (term-eq s x)) (gen-subsume-prop s x))) res) (setq res (delete s res)) (setq res (delete-if #'(lambda (x) (and (not (term-eq x s)) (gen-subsume-prop x s))) res)))) (unless (= (the fixnum (length res)) (the fixnum (length subs))) (if (cdr res) (let ((new-or-term (make-term-with-sort-check *fopl-or* (list (car res) (cadr res))))) (dolist (arg (cddr res)) (setq new-or-term (make-term-with-sort-check *fopl-or* (list new-or-term arg)))) (term-replace d new-or-term)) (term-replace d (car res)))) ;; (when *debug-formula* (format t "~%~d< " *debug-formula-nest*) (term-print d)) ;; d))) ;;; GEN-SUBSUME-PROP : c d -> bool ;;; - a generalized propositional subsumption. ;;; - returns t iff c subsumes d. ;;; - quantified formulas are treated as atoms. ;;; (defvar *debug-subsume-prop* nil) (declaim (special *debug-subsume-prop-nest*)) (defvar *debug-subsume-prop-nest* 0) (defun gen-subsume-prop (c d) (declare (type term c d)) (let ((c-type (fopl-sentence-type c)) (d-type (fopl-sentence-type d))) (declare (type symbol c-type d-type)) (let ((res nil) (*debug-subsume-prop-nest* (1+ *debug-subsume-prop-nest*))) (when *debug-subsume-prop* (format t "~%~d>[subsume prop]: " *debug-subsume-prop-nest*) (format t "~&c = ")(term-print c) (format t "~&d = ")(term-print d)) (setq res (if (eq c-type :or) ;; test each c_i subsumes d (every #'(lambda (x) (or (is-true? x) (gen-subsume-prop x d))) (term-subterms c)) ;; c-type = :and or others (if (eq d-type :and) ;; test c subsumes each d_i (every #'(lambda (x) (gen-subsume-prop c x)) (term-subterms d)) (if (eq c-type :and) ;; test one c_i subsumes d (some #'(lambda (x) (or (is-false? x) (gen-subsume-prop x d))) (term-subterms c)) (if (eq d-type :or) ;; test c subsumes one d_i (some #'(lambda (x) (gen-subsume-prop c x)) (term-subterms d)) ;; c and d are :not, :atom, :forall, or :exists (formula-is-identical c d) ))))) (when *debug-subsume-prop* (format t "~%~d< ~a" *debug-subsume-prop-nest* res)) ;; res))) ;;; FORMULA-IS-IDENTICAL : Sentence Sentence -> Bool ;;; (defun formula-is-identical (s1 s2) (declare (type term s1 s2)) (term-equational-equal s1 s2)) ;;; TERM->CLAUSE : Sentence -> Clause ;;; (defun term->clause (f psys) (declare (type term f) (type psystem psys)) (let ((type (fopl-sentence-type f)) (c (new-clause psys *current-formula*))) (declare (type symbol type) (type clause c)) (when *debug-formula* (format t "~%>>*term->clause: ") (term-print f)) (when (is-true? f) (return-from term->clause nil)) ;; (case type ((:atom :not :eq :beq) (let ((lit (make-literal :sign (not (eq type :not)) :atom (if (not (eq type :not)) f ;; ~ P (term-arg-1 f)) :clause c))) (declare (type literal lit)) (mark-literal lit) (if (is-false? f) ;; make empty clause (setf (clause-literals c) nil) (setf (clause-literals c) (list lit))))) ;; (:or (let ((subs (gather-subterms-with-top (term-head f) f)) (res nil)) (declare (type list subs res)) (dolist (sub subs) (let* ((stype (fopl-sentence-type sub)) (lit (if (is-false? sub) :false (make-literal :sign (not (eq stype :not)) :atom (if (not (eq stype :not)) sub (term-arg-1 sub)) :clause c)))) (declare (type symbol stype) (type (or symbol literal) lit)) (push lit res))) (setq res (delete :false res :test #'eq)) (dolist (l res) (mark-literal l) (push l (clause-literals c))) )) ;; (otherwise (with-output-panic-message () (format t "term->clause: accepted illegal formula~%") (term-print f)))) ;; merge identical literals (merge-clause c) c)) ;;; CNF-TO-LIST : Sentence Psystem -> List[Clause] ;;; -- convert a CNF formula to a list of clauses ;;; (defun cnf-to-list (sentence psys) (declare (type term sentence) (type psystem psys)) (let ((stype (fopl-sentence-type sentence))) (declare (type symbol stype)) (if (eq stype :and) (let ((subs (gather-subterms-with-top (term-head sentence) sentence)) (res nil)) (declare (type list subs res)) (dolist (s subs) (declare (type term s)) (unless (is-true? s) (setq res (nconc res (list (term->clause s psys)))))) res) (let ((res (term->clause sentence psys))) (declare (type (or null clause) res)) (if res (list res) nil)) ))) ;;; EOF cafeobj-1.5.4/BigPink/codes/glob.lisp0000644000000000000000000012467512605345045016067 0ustar rootroot;;;-*-Mode:LISP; Package: CHAOS; Base:10; Syntax:Common-lisp -*- ;;; ;;; Copyright (c) 2000-2015, Toshimi Sawada. All rights reserved. ;;; ;;; Redistribution and use in source and binary forms, with or without ;;; modification, are permitted provided that the following conditions ;;; are met: ;;; ;;; * Redistributions of source code must retain the above copyright ;;; notice, this list of conditions and the following disclaimer. ;;; ;;; * Redistributions in binary form must reproduce the above ;;; copyright notice, this list of conditions and the following ;;; disclaimer in the documentation and/or other materials ;;; provided with the distribution. ;;; ;;; THIS SOFTWARE IS PROVIDED BY THE AUTHOR 'AS IS' AND ANY EXPRESSED ;;; OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED ;;; WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ;;; ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY ;;; DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL ;;; DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE ;;; GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS ;;; INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, ;;; WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING ;;; NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS ;;; SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. ;;; ;;; (in-package :chaos) #|============================================================================= System:Chaos Module:BigPink File:glob.lisp =============================================================================|# #-:chaos-debug (declaim (optimize (speed 3) (safety 0) #-GCL (debug 0))) #+:chaos-debug (declaim (optimize (speed 1) (safety 3) #-GCL (debug 3))) ;;; *********** ;;; FOPL SYNTAX --------------------------------------------------------------- ;;; *********** #| ;;; t if our logic has two diffrent types of equality. ;; (declaim (type boolean *fopl-two-equalities*)) (defvar *fopl-two-equalities* nil) ;;; primitive built-in modules for supporting inference in FOPL (defvar *fopl-sentence-module* nil) (defvar *fopl-clause-form-module* nil) ;;; primitive sorts declared in the aboves. (defvar *fopl-sentence-sort* nil) (defvar *var-decl-list-sort* nil) (defvar *fopl-clause-sort* nil) (defvar *fopl-sentence-seq-sort* nil) ;;; primitive formula constructors (defvar *var-decl-list* nil) (defvar *fopl-and* nil) (defvar *fopl-or* nil) (defvar *fopl-imply* nil) (defvar *fopl-iff* nil) (defvar *fopl-neg* nil) (defvar *fopl-forall* nil) (defvar *fopl-exists* nil) (defvar *fopl-eq* nil) (defvar *fopl-beq* nil) (defvar *fopl-ans* nil) ;;; not used (defvar *clause-constructor* nil) (defvar *clause-constructor2* nil) (defvar *fopl-sentence-seq* nil) |# ;;; ******* ;;; FORMULA ---------------------------------------------------------------- ;;; ******* ;;; binds last proccessed list of clause, i.e., return value of ;;; the function `formula->clause-1' ;;; (defvar $$raw-clause nil) (defvar *sk-function-num* nil) ;; (defvar *sk-function-num* 0) ;; (defvar *sk-constant-num* 0) ;;; ****** ;;; CLAUSE -------------------------------------------------------------- ;;; ****** ;;; if non-nil print clause in little bit prettier. (defvar *clause-pretty-print* nil) ;;; **************** ;;; INFERENCE ENGINE ---------------------------------------------------- ;;; **************** ;;; ------------ ;;; PROOF SYSTEM ;;; ------------ (declaim (special *current-proof-system*)) (defvar *current-proof-system* nil) ; current module (defvar *current-psys* nil) ; current psystem (defvar *given-clause* nil) ; current given clause (defvar *pn-proof-module* nil) ; built-in for invariance check (defvar *pn-refinement-check-module* nil) ; built-in for refinement check (defvar *pn-no-db-reset* nil) ;;; GOLOBAL DB USED BY ENGINES DURING INFERENCE PROCESS ***************** (defvar .debug-pn-memory. nil) (declaim (type fixnum .pn-clause-deleted.)) (defvar .pn-clause-deleted. 0) ;;; hash table of all clauses generated so far. (defvar *clause-hash* nil) ; from *current-psys* ;;; Set of support (SOS) (declaim (type list *sos*)) (defvar *sos* nil) ; from *current-psys* ;;; usable clauses (declaim (type list *usable*)) (defvar *usable* nil) ; from *current-psys* ;;; demodulators (defvar *demodulators* nil) ; from *current-psys* (defvar *new-demodulator* nil) (declaim (type list *passive*)) (defvar *passive* nil) ; from *current-psys* ;;; binds the last clause id given as input. ;;; (declaim (type fixnum *max-input-id*)) (defvar *max-input-id* 0) (defvar *hot* nil) ;;; (defvar *weight-pick-given* nil) (defvar *weight-purge-gen* nil) (defvar *weight-terms* nil) ;;; INDEX TABLES for INFERENCES ;;; tables for inference rules (defvar *clash-pos-literals* (make-hash-table :size 30 :test #'eq)) (defvar *clash-neg-literals* (make-hash-table :size 30 :test #'eq)) ;;; tables for subsumption check (defvar *pos-literals* (make-hash-table :size 30 :test #'eq)) (defvar *neg-literals* (make-hash-table :size 30 :test #'eq)) ;;; table for paramodulation into (defvar *paramod-rules* (make-hash-table :size 30 :test #'eq)) ;;; table for from paramodulation from (defvar *clash-lit-table* (make-hash-table :size 30 :test #'eq)) ;;; table for para into/from var (defvar *parainto-var-rules* (make-hash-table :size 30 :test #'eq)) (defvar *parafrom-var-rules* (make-hash-table :size 30 :test #'eq)) ;;; table for back demodulation (defvar *full-lit-table* (make-hash-table :size 30 :test #'eq)) ;;; ---------- ;;; PARAMETERS ;;; ---------- (declaim (type fixnum *pn-max-parameters*)) (defparameter *pn-max-parameters* 30) (defstruct (pn-param (:type list)) (value -1 :type fixnum) (name "" :type simple-string) (min -1 :type fixnum) (max most-positive-fixnum :type fixnum)) (declaim (type (simple-array * (30)) *pn-parameters*)) (defvar *pn-parameters* (make-array *pn-max-parameters*)) (defmacro pn-parameter (_index) `(pn-param-value (aref *pn-parameters* ,_index))) (defmacro pn-parameter-name (_index) `(pn-param-name (aref *pn-parameters* ,_index))) (defmacro pn-parameter-min (_index) `(pn-param-min (aref *pn-parameters* ,_index))) (defmacro pn-parameter-max (_index) `(pn-param-max (aref *pn-parameters* ,_index))) ;;; parameter index ; (defconstant REPORT 0) ; output stats and times every ; n seconds (defconstant MAX-GEN 0) ; stop search after this many ; generated clauses (defconstant MAX-KEPT 1) ; stop search after this many ; kept clauses (defconstant MAX-GIVEN 2) ; stop search after this many ; given clauses ; (defconstant MAX-LITERALS 5) ; max # of lits in kept clause ; (0 -> no limit) (defconstant MAX-WEIGHT 3) ; maximum weight of kept clauses ; (defconstant MAX-DISTINCT-VARS 7) ; max # of variables in kept ; clause (defconstant PICK-GIVEN-RATIO 4) ; pick lightest n times, then ; pick first ;(defconstant INTERRUPT-GIVEN 9) ; call interact after this ; many given cls (defconstant DEMOD-LIMIT 5) ; Limit on number of rewrites ; per clause (defconstant MAX-PROOFS 6) ; stop search after this many ; empty clauses ;(defconstant MIN-BIT-WIDTH 7) ; minimum field for bit strings (defconstant NEG-WEIGHT 8) ; add this value to wight of ; negative literals ;(defconstant PRETTY-PRINT-INDENT 9) ; indent for pretty print (defconstant STATS-LEVEL 10) ; higher stats-level -> output ; more statistics (defconstant CHANGE-LIMIT-AFTER 11) ; replace reduce-weight-limit (defconstant NEW-MAX-WEIGHT 12) ; replace reduce-weight-limit ;(defconstant HEAT 13) ; maximum heat level ;(defconstant DYNAMIC-HEAT-WEIGHT 14) ; max weigth of dynamic hot clause (defconstant MAX-ANSWERS 13) ; maximum number of answer literals ;(defconstant FSUB-HINT-ADD-WT 16) ; add to pick-given wt ;(defconstant BSUB-HINT-ADD-WT 17) ; add to pick-given wt ;(defconstant EQUIV-HINT-ADD-WT 23) ; add to pick-given wt ;(defconstant VERBOSE-DEMOD-SKIP 24) ; debugging option ;(defconstant FSUB-HINT-WT 25) ; pick-given wt ;(defconstant BSUB-HINT-WT 26) ; pick-given wt ;(defconstant EQUIV-HINT-WT 27) ; pick-given wt ;(defconstant AGE-FACTOR 30) ; to adjust the pick-given weight ;(defconstant DISTINCT-VARS-FACTOR 31) ; to adjust the pick-given weight ;(defconstant NEW-SYMBOL-LEX-POSITION 32) (defconstant MAX-SOS 14) (defconstant MAX-SECONDS 15) ; stop search after this many (defconstant DYNAMIC-DEMOD-DEPTH 16) (defconstant DYNAMIC-DEMOD-RHS 17) ;; (defconstant INV-CHECK-MAX-DEPTH 18) ;; (defconstant CONTROL-MEMORY-POINT 19) ;; (defconstant MAX-LITERALS 20) ;;; initialize (eval-when (:execute :load-toplevel) (dotimes (x *pn-max-parameters*) (setf (aref *pn-parameters* x) (make-pn-param))) ;(setf (pn-parameter-name REPORT) "report") ;(setf (pn-parameter-min report) -1) ;(setf (pn-parameter-max report) most-positive-fixnum) (setf (pn-parameter-name MAX-SECONDS) "max-seconds") (setf (pn-parameter-min max-seconds) -1) (setf (pn-parameter-max max-seconds) most-positive-fixnum) (setf (pn-parameter-name MAX-GEN) "max-gen") (setf (pn-parameter-min max-gen) -1) (setf (pn-parameter-max max-gen) most-positive-fixnum) (setf (pn-parameter-name MAX-KEPT) "max-kept") (setf (pn-parameter-min max-kept) -1) (setf (pn-parameter-max max-kept) most-positive-fixnum) (setf (pn-parameter-name MAX-GIVEN) "max-given") (setf (pn-parameter-min max-given) -1) (setf (pn-parameter-max max-given) most-positive-fixnum) ;(setf (pn-parameter-name MAX-LITERALS) "max-literals") ;(setf (pn-parameter-min max-literals) -1) ;(setf (pn-parameter-max max-literals) most-positive-fixnum) (setf (pn-parameter-name MAX-WEIGHT) "max-weight") (setf (pn-parameter-min max-weight) most-negative-fixnum) (setf (pn-parameter-max max-weight) most-positive-fixnum) ;(setf (pn-parameter-name MAX-DISTINCT-VARS) "max-distict-vars") ;(setf (pn-parameter-min max-distinct-vars) -1) ;(setf (pn-parameter-max max-distinct-vars) most-positive-fixnum) (setf (pn-parameter-name PICK-GIVEN-RATIO) "pick-given-ratio") (setf (pn-parameter-min pick-given-ratio) -1) (setf (pn-parameter-max pick-given-ratio) most-positive-fixnum) ;(setf (pn-parameter-name INTERRUPT-GIVEN) "interrupt-given") ;(setf (pn-parameter-min interrupt-given) -1) ;(setf (pn-parameter-max interrupt-given) most-positive-fixnum) (setf (pn-parameter-name DEMOD-LIMIT) "demod-limit") (setf (pn-parameter-min demod-limit) -1) (setf (pn-parameter-max demod-limit) most-positive-fixnum) (setf (pn-parameter-name MAX-PROOFS) "max-proofs") (setf (pn-parameter-min max-proofs) -1) (setf (pn-parameter-max max-proofs) most-positive-fixnum) ;(setf (pn-parameter-name MIN-BIT-WIDTH) "min-bit-width") ;(setf (pn-parameter-min min-bit-width) 1) ;(setf (pn-parameter min-bit-width) (* 32 8)) (setf (pn-parameter-name NEG-WEIGHT) "neg-weight") (setf (pn-parameter-min neg-weight) most-negative-fixnum) (setf (pn-parameter-max neg-weight) most-positive-fixnum) ;(setf (pn-parameter-name PRETTY-PRINT-INDENT) "pretty-print-indent") ;(setf (pn-parameter-min pretty-print-indent) 0) ;(setf (pn-parameter-max pretty-print-indent) 16) (setf (pn-parameter-name STATS-LEVEL) "stats-level") (setf (pn-parameter-min stats-level) 0) (setf (pn-parameter-max stats-level) 4) (setf (pn-parameter-name change-limit-after) "change-limit-after") (setf (pn-parameter-min change-limit-after) 0) (setf (pn-parameter-max change-limit-after) most-positive-fixnum) (setf (pn-parameter-name new-max-weight) "new-max-weight") (setf (pn-parameter-min new-max-weight) most-negative-fixnum) (setf (pn-parameter-max new-max-weight) most-positive-fixnum) ;(setf (pn-parameter-name HEAT) "heat") ;(setf (pn-parameter-min heat) 0) ;(setf (pn-parameter-max heat) 100) ;(setf (pn-parameter-name DYNAMIC-HEAT-WEIGHT) "dynamic-heat-weight") ;(setf (pn-parameter-min dynamic-heat-weight) most-negative-fixnum) ;(setf (pn-parameter-max dynamic-heat-weight) most-positive-fixnum) (setf (pn-parameter-name MAX-ANSWERS) "max-answers") (setf (pn-parameter-min max-answers) -1) (setf (pn-parameter-max max-answers) most-positive-fixnum) ;(setf (pn-parameter-name FSUB-HINT-ADD-WT) "fsub-hint-add-wt") ;(setf (pn-parameter-min fsub-hint-add-wt) most-negative-fixnum) ;(setf (pn-parameter-max fsub-hint-add-wt) most-positive-fixnum) ;(setf (pn-parameter-name BSUB-HINT-ADD-WT) "bsub-hint-add-wt") ;(setf (pn-parameter-min bsub-hint-add-wt) most-negative-fixnum) ;(setf (pn-parameter-max bsub-hint-add-wt) most-positive-fixnum) ;(setf (pn-parameter-name EQUIV-HINT-ADD-WT) "equiv-hint-add-wt") ;(setf (pn-parameter-min equiv-hint-add-wt) most-negative-fixnum) ;(setf (pn-parameter-max equiv-hint-add-wt) most-positive-fixnum) ;(setf (pn-parameter-name VERBOSE-DEMOD-SKIP) "verbose-demod-skip") ;(setf (pn-parameter-min verbose-demod-skip) 0) ;(setf (pn-parameter-max verbose-demod-skip) most-positive-fixnum) ;(setf (pn-parameter-name FSUB-HINT-WT) "fsub-hint-wt") ;(setf (pn-parameter-min fsub-hint-wt) most-negative-fixnum) ;(setf (pn-parameter-max fsub-hint-wt) most-positive-fixnum) ;(setf (pn-parameter-name BSUB-HINT-WT) "bsub-hint-wt") ;(setf (pn-parameter-min bsub-hint-wt) most-negative-fixnum) ;(setf (pn-parameter-max bsub-hint-wt) most-positive-fixnum) ;(setf (pn-parameter-name EQUIV-HINT-WT) "equiv-hint-wt") ;(setf (pn-parameter-min equiv-hint-wt) most-negative-fixnum) ;(setf (pn-parameter-max equiv-hint-wt) most-positive-fixnum) (setf (pn-parameter-name DYNAMIC-DEMOD-DEPTH) "dynamic-demod-depth") (setf (pn-parameter-min dynamic-demod-depth) -1) (setf (pn-parameter-max dynamic-demod-depth) most-positive-fixnum) (setf (pn-parameter-name DYNAMIC-DEMOD-RHS) "dynamic-demod-rhs") (setf (pn-parameter-min dynamic-demod-rhs) most-negative-fixnum) (setf (pn-parameter-max dynamic-demod-rhs) most-positive-fixnum) ;(setf (pn-parameter-name AGE-FACTOR) "age-factor") ;(setf (pn-parameter-min age-factor) most-negative-fixnum) ;(setf (pn-parameter-max age-factor) most-positive-fixnum) ;(setf (pn-parameter-name DISTINCT-VARS-FACTOR) "distinct-vars-factor") ;(setf (pn-parameter-min distinct-vars-factor) most-negative-fixnum) ;(setf (pn-parameter-max distinct-vars-factor) most-positive-fixnum) ;(setf (pn-parameter-name NEW-SYMBOL-LEX-POSITION) "new-symbol-lex-position") ;(setf (pn-parameter-min new-symbol-lex-position) 1) ;(setf (pn-parameter-max new-symbol-lex-position) (/ most-positive-fixnum 2)) (setf (pn-parameter-name MAX-SOS) "max-sos") (setf (pn-parameter-min max-sos) -1) (setf (pn-parameter-max max-sos) most-positive-fixnum) (setf (pn-parameter-name INV-CHECK-MAX-DEPTH) "inv-check-max-depth") (setf (pn-parameter-min inv-check-max-depth) -1) (setf (pn-parameter-max inv-check-max-depth) most-positive-fixnum) (setf (pn-parameter-name CONTROL-MEMORY-POINT) "control-memory-point") (setf (pn-parameter-min control-memory-point) -1) (setf (pn-parameter-max control-memory-point) most-positive-fixnum) (setf (pn-parameter-name MAX-LITERALS) "max-literals") (setf (pn-parameter-min max-literals) -1) (setf (pn-parameter-max max-literals) most-positive-fixnum) ) ;;; ============================ ;;; CONTROLS FLAGS for INFERENCE ;;; ============================ (declaim (type fixnum *pn-max-flags*)) (defparameter *pn-max-flags* 100) (defstruct (pignose-flag (:type list)) (value nil) (name "" :type simple-string) (hook #'identity :type (or function symbol))) (declaim (type (simple-array * (100)) *pn-control-flags*)) (defvar *pn-control-flags*) (eval-when (:execute :load-toplevel) (setq *pn-control-flags* (make-array *pn-max-flags*))) (defmacro pn-flag (flag-index) `(pignose-flag-value (aref *pn-control-flags* ,flag-index))) (defmacro pn-flag-name (flag-index) `(pignose-flag-name (aref *pn-control-flags* ,flag-index))) (defmacro pn-flag-hook (flag-index) `(pignose-flag-hook (aref *pn-control-flags* ,flag-index))) ;;; IDEXES (defconstant sos-queue 0) ; first clause on sos is given clause (defconstant sos-stack 1) ; pick last sos clause as given clause (defconstant input-sos-first 2) ; use input sos before generated sos (defconstant print-given 3) ; print given clauses (defconstant print-lists-at-end 4) ; print clause lists at end of run (defconstant binary-res 5) ; binary resolution (defconstant hyper-res 6) ; hyperresolution (defconstant neg-hyper-res 7) ; negatve hyperresolution inf rule ;(defconstant ur-res 8) ; UR-resolution. (defconstant para-into 8) ; `into' paramodulation inference rule (defconstant para-from 9) ; `from' paramodulation inference rule (defconstant demod-inf 10) ; apply demodulation as an inference rule (defconstant para-from-left 11) ; allow paramodulation from left sides (defconstant para-from-right 12) ; allow paramodulation from right sides (defconstant para-into-left 13) ; allow paramodulation into ; left args of = (defconstant para-into-right 14) ; allow paramodulation into ; right args of = (defconstant para-from-vars 15) ; allow paramodulation from variables (defconstant para-into-vars 16) ; allow paramodulation into variables (defconstant para-from-units-only 17) ; from clause must be unit (defconstant para-into-units-only 18) ; into clause must be unit (defconstant para-skip-skolem 19) ; Skolem function restriction strategy (defconstant para-ones-rule 20) ; paramod only into first args of terms (defconstant para-all 21) ; paramodulate all occurrences ; of into term ;(defconstant detailed-history 23) ; store literal position vectors ;(defconstant order-history 24) ; Nucleus number first for ; hyper, UR. (defconstant unit-deletion 22) ; unit deletion processing (defconstant delete-identical-nested-skolem 23) ; delete clauses containing (defconstant sort-literals 24) ; sort literals in pre-process (defconstant for-sub 25) ; forward subsumption (defconstant back-sub 26) ; back subsumption (defconstant factor 27) ; factor during post-process ;(defconstant demod-history 31) ; build history in demodulation (defconstant order-eq 28) ; flip equalities (+ and -) if ; right arg heavier (defconstant eq-units-both-ways 29) ; non-oriented eq units both ways (defconstant dynamic-demod 30) ; dynamic addition of demodulators (defconstant dynamic-demod-all 31) ; try to make all equalities ; into demodulators (defconstant dynamic-demod-lex-dep 32) ; allow lex-dep dynamic demodulators (defconstant back-demod 33) ; back demodulation (defconstant kb 34) ; Attempt Knuth-Bendix completion (defconstant lrpo 35) ; lexicographic recursive path ; ordering (defconstant lex-order-vars 36) ; consider variables when ; lex-checking terms (defconstant simplify-fol 37) ; attempt to simplify during ; cnf translation (defconstant new-variable-name 38) (defconstant process-input 39) ; process input usable and sos (defconstant quiet 40) (defconstant very-verbose 41) ; print generated clauses (defconstant print-kept 42) ; print kept clauses (defconstant print-proofs 43) ; print all proofs found (defconstant print-new-demod 44) ; print new demodultors (defconstant print-back-demod 45) ; print back demodulated clauses (defconstant print-back-sub 46) ; print back subsumed clauses (defconstant order-hyper 47) ; ordered hyperresolution ; (satellites) (defconstant propositional 48) ; some propositional ; optimizations ;(defconstant atom-wt-max-args 53) ; weight of atom is max of ; weights of arguments ;(defconstant term-wt-max-args 54) ; weight of term is max of ; weights of arguments (defconstant AUTO 49) ; select the current AUTO mode ;(defconstant proof-weight 56) ; Calculate proof weight (ancestor bag). (defconstant hyper-symmetry-kludge 50) ; Secret flag ;(defconstant gl-demod 58) ; Delay demodulation. (defconstant discard-non-orientable-eq 51) ; Secret flag (defconstant discard-xx-resolvable 52) ; Secret flag (defconstant back-unit-deletion 53) ; like back demodulation, but ; for literals (defconstant auto2 54) (defconstant auto1 55) (defconstant auto3 56) (defconstant debug-infer 57) (defconstant debug-binary-res 58) (defconstant debug-hyper-res 59) (defconstant debug-neg-hyper-res 60) (defconstant debug-ur-res 61) (defconstant debug-para-from 62) (defconstant debug-para-into 63) (defconstant universal-symmetry 64) (defconstant control-memory 65) (defconstant print-stats 66) (defconstant print-message 67) (defconstant unify-heavy 68) (defconstant trace-demod 69) (defconstant debug-refine 70) (defconstant no-demod 71) (defconstant no-back-demod 72) (defconstant kb2 73) (defconstant no-new-demod 74) ;;; new flags (defconstant prop-res 75) (defconstant no-junk 76) ; obsolete (defconstant no-confusion 77) ; obsolete (defconstant meta-paramod 78) (defconstant debug-inv-check 79) (defconstant dist-const 80) (defconstant debug-dist-const 81) (defconstant randomize-sos 82) (defconstant debug-sos 83) (defconstant put-goal-in-sos 84) (defconstant check-init-always 85) ;; (defconstant ur-res 86) ;; (defconstant kb3 87) ;;; (eval-when (:execute :load-toplevel) (dotimes (x *pn-max-flags*) (setf (aref *pn-control-flags* x) (make-pignose-flag))) (setf (pn-flag-name sos-queue) "sos-queue") (setf (pn-flag-name sos-stack) "sos-stack") (setf (pn-flag-name input-sos-first) "input-sos-first") (setf (pn-flag-name print-given) "print-given") (setf (pn-flag-name print-lists-at-end) "print-lists-at-end") (setf (pn-flag-name binary-res) "binary-res") (setf (pn-flag-name hyper-res) "hyper-res") (setf (pn-flag-name neg-hyper-res) "neg-hyper-res") (setf (pn-flag-name ur-res) "ur-res") (setf (pn-flag-name para-into) "para-into") (setf (pn-flag-name para-from) "para-from") (setf (pn-flag-name demod-inf) "demod-inf") (setf (pn-flag-name para-from-left) "para-from-left") (setf (pn-flag-name para-from-right) "para-from-right") (setf (pn-flag-name para-into-left) "para-into-left") (setf (pn-flag-name para-into-right) "para-into-right") (setf (pn-flag-name para-from-vars) "para-from-vars") (setf (pn-flag-name para-into-vars) "para-into-vars") (setf (pn-flag-name para-from-units-only) "para-from-units-only") (setf (pn-flag-name para-into-units-only) "para-into-units-only") (setf (pn-flag-name para-skip-skolem) "para-skip-skolem") (setf (pn-flag-name para-ones-rule) "para-ones-rules") (setf (pn-flag-name para-all) "para-all") ;(setf (pn-flag-name detailed-history) "detailed-history") ;(setf (pn-flag-name order-history) "order-history") (setf (pn-flag-name unit-deletion) "unit-deletion") (setf (pn-flag-name delete-identical-nested-skolem) "delete-identical-nested-skolem") (setf (pn-flag-name sort-literals) "sort-literals") (setf (pn-flag-name for-sub) "for-sub") (setf (pn-flag-name back-sub) "back-sub") (setf (pn-flag-name factor) "factor") ;(setf (pn-flag-name demod-history) "demod-history") (setf (pn-flag-name order-eq) "order-eq") (setf (pn-flag-name eq-units-both-ways) "eq-units-both-ways") ;; (setf (pn-flag-name demod-linear) "demod-linear") ;; (setf (pn-flag-name demod-out-in) "demod-out-in") (setf (pn-flag-name dynamic-demod) "dynamic-demod") (setf (pn-flag-name dynamic-demod-all) "dynamic-demod-all") (setf (pn-flag-name dynamic-demod-lex-dep) "dynamic-demod-lex-dep") (setf (pn-flag-name back-demod) "back-demod") (setf (pn-flag-name kb) "kb") (setf (pn-flag-name lrpo) "lrpo") (setf (pn-flag-name lex-order-vars) "lex-order-vars") (setf (pn-flag-name simplify-fol) "simplify-fol") (setf (pn-flag-name new-variable-name) "new-variable-name") (setf (pn-flag-name process-input) "process-input") (setf (pn-flag-name quiet) "quiet") (setf (pn-flag-name very-verbose) "very-verbose") (setf (pn-flag-name print-kept) "print-kept") (setf (pn-flag-name print-proofs) "print-proofs") (setf (pn-flag-name print-new-demod) "print-new-demod") (setf (pn-flag-name print-back-demod) "print-back-demod") (setf (pn-flag-name print-back-sub) "print-back-sub") (setf (pn-flag-name order-hyper) "order-hyper") (setf (pn-flag-name propositional) "propositional") ;(setf (pn-flag-name atom-wt-max-args) "atom-wt-max-args") ;(setf (pn-flag-name term-wt-max-args) "term-wt-max-args") (setf (pn-flag-name auto) "auto") ;(setf (pn-flag-name proof-weight) "proof-weight") (setf (pn-flag-name hyper-symmetry-kludge) "hyper-symmetry-kludge") ;(setf (pn-flag-name gl-demod) "gl-demod") (setf (pn-flag-name discard-non-orientable-eq) "discard-non-orientable-eq") (setf (pn-flag-name DISCARD-XX-RESOLVABLE) "discard-xx-resolvable") (setf (pn-flag-name back-unit-deletion) "back-unit-deletion") (setf (pn-flag-name auto2) "auto2") (setf (pn-flag-name auto1) "auto1") (setf (pn-flag-name auto3) "auto3") (setf (pn-flag-name debug-infer) "debug-infer") (setf (pn-flag-name debug-binary-res) "debug-binary-res") (setf (pn-flag-name debug-hyper-res) "debug-hyper-res") (setf (pn-flag-name debug-neg-hyper-res) "debug-neg-hyper-res") (setf (pn-flag-name debug-ur-res) "debug-ur-res") (setf (pn-flag-name debug-para-from) "debug-para-from") (setf (pn-flag-name debug-para-into) "debug-para-into") (setf (pn-flag-name universal-symmetry) "universal-symmetry") (setf (pn-flag-name control-memory) "control-memory") (setf (pn-flag-name print-stats) "print-stats") (setf (pn-flag-name print-message) "print-message") (setf (pn-flag-name unify-heavy) "unify-heavy") (setf (pn-flag-name trace-demod) "trace-demod") (setf (pn-flag-name debug-refine) "debug-refine") (setf (pn-flag-name no-demod) "no-demod") (setf (pn-flag-name no-back-demod) "no-back-demod") (setf (pn-flag-name kb2) "kb2") (setf (pn-flag-name no-new-demod) "no-new-demod") (setf (pn-flag-name prop-res) "prop-res") (setf (pn-flag-name no-junk) "no-junk") (setf (pn-flag-name no-confusion) "no-confusion") (setf (pn-flag-name meta-paramod) "meta-paramod") ; meta-paramod (setf (pn-flag-hook meta-paramod) 'pn-set-tf-flag) (setf (pn-flag-name debug-inv-check) "debug-inv-check") (setf (pn-flag-name dist-const) "dist-const") (setf (pn-flag-name debug-dist-const) "debug-dist-const") (setf (pn-flag-name randomize-sos) "randomize-sos") (setf (pn-flag-name debug-sos) "debug-sos") (setf (pn-flag-name put-goal-in-sos) "put-goal-in-sos") (setf (pn-flag-name check-init-always) "check-init-always") (setf (pn-flag-name kb3) "kb3") ) ;;; OPTION SET DB ;;; (defvar *pn-option-set* nil) ;;; COMMENTS ON CONTROL FLAGS ;;; THESE ARE STOLEN FROM `OTTER UERS'S MANUAL 3.0.5' (by ;;; ;;; BINARY-RES #| default off if set, inference rule binary resolution is used to generate new clauses. effected flags *factor* on *unit-del* on |# ;;; HYPER-RES #| default off if set, inference rule (positive) hyper resolution is used to generate new clauses. |# ;;; NEG-HYPER-RES #| default off if set, inference rule negative hyper resolution is used to generate new clauses. |# ;;; UR-RES #| default off if set, inference rule UR-resolution is used to generate new clauses. |# ;;; PARA-INTO #| default off if set, inference rule "paramodulation into the given clause" is used to generate new clauses. |# ;;; PARA-FROM #| default off if set, inference rule "paramodulation from the given clause" is used to generate new clauses. |# ;;; PARAMODULATION ;;; PARA-FROM-LEFT #| default set if set, paramodulation is allowed from the left sides of equality literals. applied to both *para-into* and *para-from* inference rules. |# ;;; PARA-FROM-RIGHT #| default set if set, paramodulation is allowed the right sides of equality literals. applied to both *para-into* and *para-from* inference rules. |# ;;; PARA-INTO-LEFT #| default set if set, paramodulation is allowed into left sides of positive and negative literals. applied to both *para-into* and *para-from* inference rules. |# ;;; PARA-INTO-RIGHT #| default set if set, paramodulation is allowed into right sides of positive and gengative equalities. applied to both *para-into* and *para-from* inference rules. |# ;;; Flags handling generated clauses ;;;------------------------------------------------------------------------- ;;; DETAILED-HISTORY #| default set affects the parent lists in clauses that are derived by *binary-res*, *para-from* or *para-into*. if set, the positions of the unified literals or terms are given alog with the IDs of the parents. |# ;;; ORDER-HISTORY #| default off affects the order of parent lists in clauses that are derived by hyperresolition, negative hyperresolution, or UR-reaolution. if set, the nucleus is listed first, and the satellites are listed in the order in which the corresponding literals appear in the nucleus. if the flag is off (or if the clause was derived by some other inference rule), the given clause is listed first. |# ;;; UNIT-DELETION #| default off if set, unit deletion is applied to newly generated clauses. this removes a literal from a newly generated clause if the literal is the negation of an instance of a unit clause that ocuurs in usable or sos. ex. the second literal of `p(a, x) \| q(a, x)' is removed by the unit `~q(u,v)'; but it is not removed by the unit `~q(u,b)', because that unification causes the instantiation of x. all such literals are removed from the newly generated clause, even if the reslult is is the empty clauses. unit deletion is not useful if all generated clauses are units. |# ;;; FOR-SUB #| default set if this flag is set, forward subsumption is applied during the processing of newly generated clauses -- delete the new clause if it is subsumed by any clause in usable or sos. |# ;;; BACK-SUB #| default set if set, back subsumption is applied during the processing of newly kept clauses -- delete all clauses in usable or sos that are subsumed by the newly kept clause. |# ;;; FACTOR #| default off if set, factoring is applied in two ways. first, factoring is applied as a simplification rule to newly generated clauses. if a generated clause C has factors that subsume C, it is replaced with its smallest subsuing factor. second, it is applied as an inference rule to newly kept clauses. note that unlike other inference rules, factoring is not applied to the given clause; it is applied to a new clause as soon as it is kept. all factors are generated in an iterative manner. if factor is set, a clause with n-literals will not cause a clause with fewer than n-literals to be deleted by subsumption. |# ;;; demodulation and ordering flags ;;; not yet. ;;;------------------------------------------------------------------------- ;;; DEMOD-HISTORY #| default set. if set, when a clause is demodulated, the ID numbers of the demodulators are included in the derivation history of the clause. |# ;;; ORDER-EQ #| default off if set, equations are flipped if the right side is havier than the left. |# ;;; EQ-UNIT-BOTH-WAYS #| default off. if set, unit equality clauses (both positive and negative) are sometimes stored in both orientations; the action taken depends on the flag *order-eq*. if *order-eq* is clear, then whenever a unit, say a = b, is processed, b = a is automatically generated and processed. if *order-eq* is set, then the reverse equality is generated only if the equality cannot be oriented. |# ;;; DEMOD-LINEAR #| default off. if set, terms are demodulation indexing is disabled, and a linear search of demodulators are used when rewriting terms. with indexing disabled, if more than one demodulator can be applied to rewrite a term, then the one whose clause number is lowest is applied; this flag is useful when demodulation is used to do "procedual" things. with indexing enabled (the default), demodulation is much faster, but the order in which demodulators is applied is not under the control of the user. |# ;; DEMOD-OUT-IN #| default off. if set, terms are demodulated outside-in, left-to-right. in other words the program attempts to rewrite a term before rewriting (left-to-right) its subterms. the algorithm is "repeat { rewrite the left-most outer-most rewritable term} untill no more rewriting can be done or the limit is reached". (the effect is like a standard reduction in lambda-calculus or in cominatory logic.) if this flag is off, terms are demodulated inside-out (all subterms are fully demodulated before attempting to rewrite a term). |# ;;; DYNAMIC-DEMOD #| default off. if set, some newly kept equalities are made into demodulators. setting this flag automatically sets the flag *order-eq*. |# ;;; DYNAMIC-DEMOD-ALL #| default off. if set, system attempts to make all newly kept equalities into demodulators. setting this flag automatically sets the flags *dynamic-demod* and *order-eq* |# ;;; DYNAMIC-DEMOD-LEX-DEP #| default clear. if set dynamic demodulators may be lex-dependent or LRPO-dependent. |# ;;; BACK-DEMOD #| default clear. if set, back demodulation is applied to demodulators, *usable* and *sos* whenever a new demodulator is added. back demodulation is delayed until the inference rules are sinished generating clauses from the current given clause (delayed untill post-process). setting the *back-demod* flag automatically sets the flag *order-eq* and *dynamic-demod*. |# ;;; KNUTH-BENDIX #| default clear. if set, system search will behave like a Knuth-Bendix completion procedure. this flag is really a metaflag; its only effect is to alter other flags as follows: *para-from* -> on, *para-into* ->on, *para-from-left* -> on, *para-from-right* -> off, *para-into-left* ->on, *para-into-right* -> off, *para-from-vars* -> on, *eq-unit-both-ways* -> on, *dynamic-demod-all* -> on, *back-demod* -> on, *process-input* -> on, *lrop* -> on. |# ;;; LRPO #| default off. this flag affects lex-dependent demodulation and the evaluable functions and predicates that perform lexical comparisons. if set, then lexical ordering is a total order on terms; variables are lowest in the term order. if this flag is off, then a variable is comparable only to another occurrence of the same variable; it is not comparable to other variables or to nonvariables. if *lrop* set, *lex-order-vars* has no effect on demodulation. |# ;;; SYMBOL-ELIM #| default off. if set, then new demodulators are oriented, if possible, so that function symbols (excluding constants) are eliminated. a demodulator can eliminate all occurrences of a function symbol if the arguments on the left side are all difference variables and if the function symbol of the left side does not occur in the right side. ex. the demodulators g(x) = f(x,x) and h(x,y) = f(x,f(y,f(g(x),g(y)))) eliminate all occurrence of g and h, respectively. |# ;;; INPUT FLAGS ;;;------------------------------------------------------------------------- ;;; PROCESS-INPUT #| default off. if set, input *usable* and *sos* clauses (including clauses from formulainput) are processed as if they had been generated by an inference rule. |# ;;; ----------------------------------- ;;; internal flags--invisible to users ;;; ----------------------------------- (declaim (type fixnum *pn-max-internal-flags*)) (defparameter *PN-MAX-INTERNAL-FLAGS* 10) (defconstant SPECIAL-UNARY-PRESENT 0) (defconstant DOLLAR-PRESENT 1) (defconstant LEX-VALS-SET 2) (declaim (type simple-array *pn-internal-flags*)) (defvar *pn-internal-flags* (make-array *pn-max-internal-flags* :initial-element nil)) (defun reset-pn-internal-flags () (dotimes (x *pn-max-internal-flags*) (declare (type fixnum x)) (setf (aref *pn-internal-flags* x) nil))) (defmacro pn-internal-flag (_index) `(aref *pn-internal-flags* ,_index)) ;;; ---------- ;;; STATISTICS ;;; ---------- (declaim (type fixnum *pn-stat-size*)) (defparameter *pn-stat-size* 50) (declaim (type (simple-array fixnum (50)) *pn-stats*)) (defvar *pn-stats* (make-array *pn-stat-size* :element-type 'fixnum :initial-element 0)) ;;; STATISTICS ACCESSOR ;;; (defmacro pn-stat (indx) `(the fixnum (aref *pn-stats* ,indx))) (defmacro pn-stats (indx) `(the fixnum (aref *pn-stats* ,indx))) (defun reset-infer-statistics () (dotimes (x *pn-stat-size*) (setf (aref *pn-stats* x) 0))) ;;; statistics index (defconstant cl-input 1) (defconstant cl-generated 2) (defconstant cl-kept 3) (defconstant cl-for-sub 4) (defconstant cl-back-sub 5) (defconstant cl-tautology 6) (defconstant cl-given 7) (defconstant cl-wt-delete 8) (defconstant rewrites 9) (defconstant unit-deletes 10) (defconstant empty-clauses 11) (defconstant for-sub-sos 12) (defconstant new-demods 13) (defconstant cl-back-demod 14) (defconstant sos-size 15) (defconstant cl-not-anc-subsumed 16) (defconstant usable-size 17) (defconstant demodulators-size 18) (defconstant init-wall-seconds 19) (defconstant binary-res-gen 20) (defconstant hyper-res-gen 21) (defconstant neg-hyper-res-gen 22) (defconstant ur-res-gen 23) (defconstant para-into-gen 24) (defconstant para-from-gen 25) (defconstant demod-inf-gen 26) (defconstant hot-generated 27) (defconstant hot-kept 28) (defconstant factor-simplifications 29) (defconstant hot-size 30) (defconstant passive-size 31) (defconstant back-unit-del-gen 32) (defconstant factor-gen 33) (defconstant demod-limits 34) ;;; CLOCKS ;;; (declaim (type fixnum *pn-max-clocks*)) (defparameter *pn-max-clocks* 25) (declaim (type simple-vector *pn-clocks*)) (defvar *pn-clocks* (make-array *pn-max-clocks*)) (defstruct (pn-clock (:type list)) (accum 0 :type integer) ; accumlated time (curr -1 :type integer)) ; time since clock has been turned on (defmacro clock-start (clock-num) `(let ((clock (aref *pn-clocks* ,clock-num))) (if (not (= (pn-clock-curr clock) -1)) (with-output-chaos-warning () (format t "clock #~d already on." ,clock-num)) (setf (pn-clock-curr clock) (get-internal-real-time))))) (defmacro clock-stop (clock-num) `(let ((clock (aref *pn-clocks* ,clock-num))) (if (= (pn-clock-curr clock) -1) (with-output-chaos-warning () (format t "clock #~d already stop." ,clock-num)) (progn (incf (pn-clock-accum clock) (- (get-internal-real-time) (pn-clock-curr clock))) (setf (pn-clock-curr clock) -1))))) (defun reset-pn-clocks () (dotimes (x *pn-max-clocks*) (let ((clock (aref *pn-clocks* x))) (setf (pn-clock-curr clock) -1) (setf (pn-clock-accum clock) 0)))) (defmacro pn-clock-value (index) `(pn-clock-accum (aref *pn-clocks* ,index))) (defconstant PN-GLOBAL-RUN-TIME 0) (defconstant BINARY-TIME 1) (defconstant HYPER-TIME 2) (defconstant NEG-HYPER-TIME 3) (defconstant UR-TIME 4) (defconstant PARA-INTO-TIME 5) (defconstant PARA-FROM-TIME 6) (defconstant PRE-PROC-TIME 7) (defconstant DEMOD-TIME 8) (defconstant ORDER-EQ-TIME 9) (defconstant UNIT-DEL-TIME 10) (defconstant WEIGH-CL-TIME 11) (defconstant SORT-LITS-TIME 12) (defconstant FOR-SUB-TIME 13) (defconstant DEL-CL-TIME 14) (defconstant KEEP-CL-TIME 15) (defconstant CONFLICT-TIME 16) (defconstant NEW-DEMOD-TIME 17) (defconstant POST-PROC-TIME 18) (defconstant BACK-DEMOD-TIME 19) (defconstant BACK-SUB-TIME 20) (defconstant FACTOR-TIME 21) (defconstant FACTOR-SIMP-TIME 22) (defconstant BACK-UNIT-DEL-TIME 23) (defconstant print-clause-time 24) (eval-when (:execute :load-toplevel) (dotimes (x *pn-max-clocks*) (setf (aref *pn-clocks* x) (make-pn-clock)))) (declaim (type integer *pn-internal-start-time*)) (defvar *pn-internal-start-time* 0) (defun pn-start-internal-clock () (setq *pn-internal-start-time* (get-internal-run-time))) (defun pn-internal-run-time () (elapsed-time-in-seconds *pn-internal-start-time* (get-internal-run-time))) ;;; SETUP ;;; (defvar .pn-ignore-ops. nil) (defun setup-pignose () (setq .pn-ignore-ops. (list *bool-and* *bool-or* *bool-not* *sort-membership* *bool-if* *bool-imply* *bool-iff* *bool-xor* *bool-equal* *beh-equal* *bool-nonequal* *beh-eq-pred* *bool-and-also* *bool-or-else*)) ) ;;; EOF cafeobj-1.5.4/BigPink/codes/index.lisp0000644000000000000000000010756712605345045016254 0ustar rootroot;;;-*-Mode:LISP; Package: CHAOS; Base:10; Syntax:Common-lisp -*- ;;; ;;; Copyright (c) 2000-2015, Toshimi Sawada. All rights reserved. ;;; ;;; Redistribution and use in source and binary forms, with or without ;;; modification, are permitted provided that the following conditions ;;; are met: ;;; ;;; * Redistributions of source code must retain the above copyright ;;; notice, this list of conditions and the following disclaimer. ;;; ;;; * Redistributions in binary form must reproduce the above ;;; copyright notice, this list of conditions and the following ;;; disclaimer in the documentation and/or other materials ;;; provided with the distribution. ;;; ;;; THIS SOFTWARE IS PROVIDED BY THE AUTHOR 'AS IS' AND ANY EXPRESSED ;;; OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED ;;; WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ;;; ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY ;;; DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL ;;; DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE ;;; GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS ;;; INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, ;;; WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING ;;; NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS ;;; SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. ;;; ;;; (in-package :chaos) #|============================================================================= System:Chaos Module:BigPink File:index.lisp =============================================================================|# #-:chaos-debug (declaim (optimize (speed 3) (safety 0) #-GCL (debug 0))) #+:chaos-debug (declaim (optimize (speed 1) (safety 3) #-GCL (debug 3))) ;;; ********** ;;; INDEXING ;;; ********** ;;; ========================== ;;; INDEX TABLE ;;; (Hash Table) ;;; ========================== ;;; ---------- ;;; PRIMITIVES ;;; ---------- ;;; general data structure (defmacro make-index-table () `(make-hash-table :test #'eq)) (defmacro make-entry-in-index-table (table key) `(setf (gethash ,key ,table) nil)) (defmacro index-table-count (table) `(hash-table-count ,table)) (defmacro set-to-index-table (table key item) `(setf (gethash ,key ,table) ,item)) (defmacro add-to-index-table (table key item &optional test) (if test `(pushnew ,item (gethash ,key ,table) :test ,test) `(push ,item (gethash ,key ,table)))) (defmacro delete-from-index-table (table key) `(remhash ,key ,table)) (defmacro get-indexed-data (table key) `(gethash ,key ,table)) (defun clear-all-index-tables (&optional (clear-demod t)) (clrhash *pos-literals*) (clrhash *neg-literals*) (clrhash *clash-pos-literals*) (clrhash *clash-neg-literals*) (clrhash *paramod-rules*) (clrhash *parainto-var-rules*) (clrhash *parafrom-var-rules*) (clrhash *full-lit-table*) (clrhash *clash-lit-table*) (when (and *demodulators* clear-demod) (clrhash *demodulators*)) ) ;;; ;;; SPECIALIZE-TERM ;;; (defun specialize-term (term module) (declare (type term term) (type module module)) (let* ((method (if (term-is-applform? term) (term-head term) nil)) (mmod (if method (method-module method) nil)) (promod (if *ignore-protected-modules* nil (module-protected-modules module))) (opinfo-table (module-opinfo-table module)) (result nil)) (declare (type (or null method method)) (type module) (type (or null module) mmod promod) (type hash-table opinfo-table) (type list result)) ;; (unless (term-is-variable? term) (setq result (specialize-term-for-methods term (if (method-is-universal method) (method-lower-methods method opinfo-table) (remove-if #'(lambda (meth) (let ((xmod (method-module meth))) (and (not (eq xmod mmod)) (if (assq mmod (module-all-submodules xmod)) (memq mmod (module-protected-modules xmod)) (memq xmod promod))))) (method-lower-methods method opinfo-table))) module))) result )) (defun get-all-methods-of-sort (sort module) (declare (type sort* sort) (type module module)) (let ((so (module-sort-order module)) (res nil)) (dolist (info (module-all-operators module)) (dolist (m (opinfo-methods info)) (unless (eq *void-method* m) (when (sort<= (method-coarity m) sort so) (push m res))))) res)) (defun specialize-term-for-methods (term methods mod) (declare (type term term) (type list methods) (type module mod)) (let ((res nil)) (dolist (method methods) (declare (type method method)) (when (rule-check-down mod method (term-subterms term)) (push method res))) #|| (dolist (sub (term-subterms term)) (if (term-is-variable? sub) (setq res (nconc res (get-all-methods-of-sort (variable-sort sub) mod))) (let ((meth (term-head sub))) (push meth res) (setq res (nconc res (method-lower-methods meth (module-opinfo-table mod))))) )) ||# ;; res)) ;;; construct key for getting ;;; (declaim (inline pn-const-pat)) (defun pn-const-pat (atom) (declare (type (or term sort*) atom) (values (or sort* method))) (if (sort-p atom) atom (if (term-is-variable? atom) (variable-sort atom) (term-head atom)))) ;;; construct keys for adding/deleting pattern ;;; (declaim (inline pn-const-possible-pat)) (defun pn-const-possible-pat (atom module &optional full) (declare (type term atom) (type module module)) (if (term-is-variable? atom) (sub-or-equal-sorts (term-sort atom) (module-sort-order module)) (let ((ops (if full (term-operators atom) (list (term-head atom)))) (opinfo-table (module-opinfo-table module)) (ans nil)) (declare (type list ops) (type hash-table opinfo-table) (type list ans)) (dolist (op ops) (declare (type method op)) (push op ans) (dolist (m (method-lower-methods op opinfo-table)) (pushnew m ans :test #'eq))) ans))) ;;; literal entry : literal ;;; (defmacro literal-entry-literal (lent) lent) (defmacro literal-entry-atom (lent) `(literal-atom ,lent)) ;;; ;;; GET-LITERAL-ENTRY-FROM-ATOM ;;; (declaim (inline get-literal-entry-from-atom)) (defun get-literal-entry-from-atom (db atom) (declare (type hash-table db) (type (or term sort*) atom) (values list)) (get-indexed-data db (pn-const-pat atom))) (declaim (inline add-literal-to-table)) (defun add-literal-to-table (table lit &optional full) (declare (type hash-table table) (type literal lit)) (let ((keys (pn-const-possible-pat (literal-atom lit) *current-module* full))) (declare (type list keys)) (dolist (key keys) (add-to-index-table table key lit)))) (declaim (inline delete-literal-from-table)) (defun delete-literal-from-table (table lit &optional full) (declare (type hash-table table) (type literal lit)) (let ((keys (pn-const-possible-pat (literal-atom lit) *current-module* full))) (dolist (key keys) (let ((new-data) (lit-ent (get-indexed-data table key))) (dolist (l lit-ent) (unless (eq l lit) (push l new-data))) (set-to-index-table table key new-data))) t)) (declaim (inline delete-literal-from-table-slow)) (defun delete-literal-from-table-slow (table lit) (declare (type hash-table table) (type literal lit)) (maphash #'(lambda (key data) (declare (type list data)) (setf (gethash key table) (delete lit data :test #'eq))) table)) ;;; --------------------------------------- ;;; SPECIALIZED TABLE FUNCTIONS for CLAUSE ;;; --------------------------------------- (defun add-clause-to-table (table clause) (declare (type hash-table table) (type clause clause)) (dolist (lit (clause-literals clause)) (declare (type literal lit)) (add-literal-to-table table lit))) (defun delete-clause-from-table (table clause) (declare (type hash-table table) (type clause clause)) (dolist (lit (clause-literals clause)) (declare (type literal lit)) (delete-literal-from-table table lit))) ;;; ================== ;;; INDEXING FUNCTIONS ;;; ================== ;;; we use the following tables for inference, back subsumption, ;;; paramodulations, etc... (defun pignose-index-all (module) (declare (type module module)) ;; (clear-all-index-tables nil) (let ((psys (module-proof-system module))) (declare (type psystem psys)) (dolist (cl (psystem-usable psys)) (declare (type clause cl)) (index-clash-literals cl) (index-all-literals cl)) (dolist (cl (psystem-sos psys)) (declare (type clause cl)) (index-all-literals cl)) (dolist (cl (psystem-passive psys)) (declare (type clause cl)) (index-all-literals cl)) )) ;;; INDEX SUBSUME TREE ---------------------------------------------- ;;; ----- ;;; NLIST ;;; list with its length ;;; create a new, empty nlist (defmacro make-empty-nlist () `(cons 0 nil)) ;;; the number of elements in an nlist. (defmacro nlist-n (x) `(car ,x)) ;;; the elements in a nlist. (defmacro nlist-list (x) `(cdr ,x)) ;;; add a new element to an nlist (defun nlist-push (item nlist) (incf (car nlist)) (push item (cdr nlist)) nlist) ;;; ----- ;;; DTREE : discrimiation tree ;;; (defstruct (dtree (:type vector)) (first nil) (rest nil) (atoms nil) (var (make-empty-nlist))) (defmacro get-dtree (key hash) (once-only (key hash) `(or (gethash ,key ,hash) (let ((new-ent (make-dtree))) (setf (gethash ,key ,hash) new-ent) new-ent)))) (defun is-insert (literal itable) (let ((atom (literal-atom literal))) (dtree-index atom literal (get-dtree (term-head atom) itable)) )) (defun dtree-index (key value dtree) (flet ((lookup (atom dtree) (or (cdr (assoc atom (dtree-atoms dtree))) (let ((new (make-empty-nlist))) (push (cons atom new) (dtree-atoms dtree)) new)))) (cond ((null key)) ((atom key) ; method/built-in value (nlist-push value (lookup key dtree))) ((not (termp key)) (dtree-index (first key) value (or (dtree-first dtree) (setf (dtree-first dtree) (make-dtree)))) (dtree-index (rest key) value (or (dtree-rest dtree) (setf (dtree-rest dtree) (make-dtree)))) ) ((term-is-applform? key) (dtree-index (term-head key) value (or (dtree-first dtree) (setf (dtree-first dtree) (make-dtree)))) (when (term-subterms key) (unless (dtree-rest dtree) (setf (dtree-rest dtree) (make-dtree))) (dtree-index (term-subterms key) value (dtree-rest dtree)))) ((term-is-variable? key) (nlist-push value (dtree-var dtree))) ((term-is-builtin-constant? key) (dtree-index (term-builtin-value key) value (or (dtree-first dtree) (setf (dtree-first dtree) (make-dtree)))) ;;(nlist-push value (lookup (term-builtin-value key) dtree)) ) (t (break "illegal key")) )) ) ;;; IS-FETCH ;;; returns a list of buckets potentialy matching the given term. ;;; (defun is-fetch (term is-table) (dtree-fetch term (get-dtree (term-head term) is-table) nil 0 nil most-positive-fixnum)) (defmacro foreach-dentry ((var dtree-ent) &body body) `(dolist (xent ,dtree-ent) (dolist (,var xent) ,@body))) (defun is-fetch-concat (term is-table) (let ((res nil)) (foreach-dentry (e (is-fetch term is-table)) (push e res)) #|| (with-output-simple-msg () (princ "fetch concat: ") (term-print term) (dolist (x res) (print-next) (prin1 x))) ||# (nreverse res))) ;;; DTREE-FETCH ;;; returns two values: ;;; 1. a list-of-lists of possible matches to pat. ;;; 2. number of elements in the list-of-lists. ;;; (defun dtree-fetch (pat dtree var-list-in var-n-in best-list best-n) (if (or (null dtree) (null pat) (and (termp pat) (term-is-variable? pat))) (values best-list best-n) (let* ((var-nlist (dtree-var dtree)) (var-n (+ var-n-in (nlist-n var-nlist))) (var-list (if (null (nlist-list var-nlist)) var-list-in (cons (nlist-list var-nlist) var-list-in)))) (cond ((>= var-n best-n) (values best-list best-n)) ((atom pat) (dtree-atom-fetch pat dtree var-list var-n best-list best-n)) ((not (termp pat)) (multiple-value-bind (list1 n1) (dtree-fetch (first pat) (dtree-first dtree) var-list var-n best-list best-n) (dtree-fetch (rest pat) (dtree-rest dtree) var-list var-n list1 n1))) (t (multiple-value-bind (list1 n1) (if (term-is-builtin-constant? pat) (dtree-fetch (term-builtin-value pat) (dtree-first dtree) var-list var-n best-list best-n) (dtree-fetch (term-head pat) (dtree-first dtree) var-list var-n best-list best-n)) (dtree-fetch (term-subterms pat) (dtree-rest dtree) var-list var-n list1 n1)))) ))) (defun dtree-atom-fetch (op dtree var-list var-n best-list best-n) #|| (unless dtree (return-from dtree-atom-fetch (values var-list var-n)) ) ||# ;; (let ((atom-nlist (cdr (assoc op (dtree-atoms dtree))))) (cond ((or (null atom-nlist) (null (nlist-list atom-nlist))) (values var-list var-n) ) ((and atom-nlist (< (incf var-n (nlist-n atom-nlist)) best-n)) (values (cons (nlist-list atom-nlist) var-list) var-n)) (t (values best-list best-n)) ))) ;;; IS-DELETE ;;; (defun dtree-delete (key value dtree test) (flet ((lookup (atom dtree) (cdr (assoc atom (dtree-atoms dtree)))) (nlist-delete (nlist) (when nlist (decf (car nlist)) (setf (cdr nlist) (delete value (cdr nlist) :count 1 :test test)) nlist))) (when dtree (cond ((null key)) ((atom key) (let ((nlist (lookup key dtree))) (when nlist (nlist-delete (lookup key dtree))))) ((not (termp key)) (dtree-delete (first key) value (dtree-first dtree) test) (dtree-delete (rest key) value (dtree-rest dtree) test)) ((term-is-applform? key) (dtree-delete (term-head key) value (dtree-first dtree) test) (dtree-delete (term-subterms key) value (dtree-rest dtree) test)) ((term-is-variable? key) (dolist (ns (dtree-atoms dtree)) (nlist-delete ns)) (nlist-delete (dtree-var dtree))) ((term-is-builtin-constant? key) (dtree-delete value (term-builtin-value key) (dtree-first dtree) test) ;; (nlist-delete value (lookup (term-builtin-value key) dtree)) ) (t (break "illegal key")) )) )) (defun is-delete (literal itable &optional (test #'eql)) (let ((atom (literal-atom literal))) (dtree-delete atom literal (get-dtree (term-head atom) itable) test) )) ;;; INDEX-ALL-LITERALS : Clause -> Void ;;; ;;; make indexed table for forward subsumption, back subsumption, ;;; and unit conflict. ;;; positive literals are registered into *pos-literals*, and ;;; negative literals are registered into *neg-literals*. ;;; #|| (defun index-all-literals (cl) (declare (type clause cl)) (when (= -1 (clause-id cl)) ;; not yet registered nor indexed. ;; (register-clause cl *current-psys*) (let ((c2 nil)) (when (and (eq (clause-container cl) :passive) (unit-clause? cl) ) (let ((lit (ith-literal cl 1))) (when (eq-literal? lit) (setq c2 (copy-clause cl)) ;; (register-clause c2 *current-psys*) (setf (clause-parents c2) (list (list :copy-rule (clause-id cl) :flip-eq-rule ))) (setq lit (ith-literal c2 1)) (let* ((atom (literal-atom lit)) (new-atom (make-term-with-sort-check *fopl-eq* (list (term-arg-2 atom) (term-arg-1 atom))))) (setf (literal-atom lit) new-atom)))) ) (dolist (lit (if c2 (append (clause-literals cl) (clause-literals c2)) (clause-literals cl))) (declare (type literal lit)) (unless (answer-literal? lit) (when (and (pn-flag back-demod) (not (eq (clause-container cl) :passive))) (add-literal-to-table *full-lit-table* lit t)) (cond ((positive-literal? lit) ;; (add-literal-to-table *pos-literals* lit) (is-insert lit *pos-literals*) ) (t ;; (add-literal-to-table *neg-literals* lit) (is-insert lit *neg-literals*) )))) ))) ||# (defun index-all-literals (cl) (declare (type clause cl)) (let ((c2 nil)) (when (and (eq (clause-container cl) :passive) (unit-clause? cl)) (let ((lit (ith-literal cl 1))) (when (and (eq-literal? lit) ;; ;; (pn-flag eq-units-both-ways) ;; t) (setq c2 (copy-clause cl)) (setf (clause-parents c2) (list (list :copy-rule (clause-id cl) :flip-eq-rule ))) (setq lit (ith-literal c2 1)) (let* ((atom (literal-atom lit)) (new-atom (make-term-with-sort-check *fopl-eq* (list (term-arg-2 atom) (term-arg-1 atom))))) (setf (literal-atom lit) new-atom)))) ) (dolist (lit (if c2 (append (clause-literals cl) (clause-literals c2)) (clause-literals cl))) (declare (type literal lit)) (unless (answer-literal? lit) (when (and (pn-flag back-demod) (not (eq (clause-container cl) :passive))) (add-literal-to-table *full-lit-table* lit t)) (cond ((positive-literal? lit) ;; (add-literal-to-table *pos-literals* lit) (is-insert lit *pos-literals*) ) (t ;; (add-literal-to-table *neg-literals* lit) (is-insert lit *neg-literals*) )))) )) ;;; UN-IDEX-ALL-LITERALS : Clause -> Void ;;; (defun un-index-all-literals (clause) (declare (type clause clause)) (dolist (lit (clause-literals clause)) (declare (type literal lit)) (when (pn-flag back-demod) (delete-literal-from-table *full-lit-table* lit t)) (unless (answer-literal? lit) (cond ((positive-literal? lit) ;; (delete-literal-from-table *pos-literals* lit) (is-delete lit *pos-literals*) ) (t ;; (delete-literal-from-table *neg-literals* lit) (is-delete lit *neg-literals*) ) )))) (defun un-index-all-literals-slow (clause) (declare (type clause clause)) (dolist (lit (clause-literals clause)) (declare (type literal lit)) (when (pn-flag back-demod) (delete-literal-from-table-slow *full-lit-table* lit)) (unless (answer-literal? lit) (cond ((positive-literal? lit) ;; (delete-literal-from-table-slow *pos-literals* lit) (is-delete lit *pos-literals*) ) (t ;; (delete-literal-from-table-slow *neg-literals* lit) (is-delete lit *neg-literals*) ) )) )) ;;; INDEX-CLASH-LITERALS ;;; make entries of literals for inference rules, and index terms for ;;; paramodulation. ;;; (defun index-clash-literals (c) (declare (type clause c)) (dolist (lit (clause-literals c)) (declare (type literal lit)) (unless (answer-literal? lit) ;; register to clash tables (if (positive-literal? lit) ;; (add-literal-to-table *clash-pos-literals* lit) (is-insert lit *clash-pos-literals*) ;; (add-literal-to-table *clash-neg-literals* lit) (is-insert lit *clash-neg-literals*) ) (when (or (pn-flag para-from) (pn-flag para-into)) ;; register to paramod table (index-paramodulation lit)))) ) ;;; UN-INDEX-CLASH-LITERALS ;;; (defun un-index-clash-literals (c) (declare (type clause c)) (dolist (lit (clause-literals c)) (declare (type literal lit)) (unless (answer-literal? lit) (if (positive-literal? lit) ;; (delete-literal-from-table *clash-pos-literals* lit) (is-delete lit *clash-pos-literals*) ;; (delete-literal-from-table *clash-neg-literals* lit) (is-delete lit *clash-neg-literals*) ) (when (or (pn-flag para-from) (pn-flag para-into)) (un-index-paramodulation lit)))) ) (defun un-index-clash-literals-slow (c) (declare (type clause c)) (dolist (lit (clause-literals c)) (declare (type literal lit)) (unless (answer-literal? lit) (if (positive-literal? lit) ;; (delete-literal-from-table-slow *clash-pos-literals* lit) (is-delete lit *clash-pos-literals*) ;; (delete-literal-from-table-slow *clash-neg-literals* lit) (is-delete lit *clash-neg-literals*) ) (when (or (pn-flag para-from) (pn-flag para-into)) (un-index-paramodulation-slow lit) ))) ) ;;; ===================== ;;; PARAMODULATION TABLES ;;; ===================== (defun get-paramod-entry (key table) (if (term-is-variable? key) (get-dtree (variable-sort key) table) (get-dtree (term-head key) table))) (defun is-paramod-insert (lhs paramod itable) (flet ((insert-from-var-pat (sort) (push paramod (gethash sort *parafrom-var-rules*))) (insert-to-var-pat (sort) (push paramod (gethash sort *parainto-var-rules*))) ) (if (term-is-variable? lhs) (insert-from-var-pat (variable-sort lhs)) (progn (dtree-index lhs paramod (get-paramod-entry lhs itable)) (when (pn-flag para-into-vars) (insert-to-var-pat (term-sort lhs)))) ))) (defun is-paramod-delete (lhs literal itable) (flet ((delete-into-var-pat (sort) (let ((ent (gethash sort *parainto-var-rules*))) (setf (gethash sort *parainto-var-rules*) (delete literal ent :test #'(lambda (x y) (eq x (paramod-literal y))))))) (delete-from-var-pat (sort) (let ((ent (gethash sort *parafrom-var-rules*))) (setf (gethash sort *parafrom-var-rules*) (delete literal ent :test #'(lambda (x y) (eq x (paramod-literal y)))))))) (if (term-is-variable? lhs) (delete-from-var-pat (variable-sort lhs)) (progn (dtree-delete lhs literal (get-paramod-entry lhs itable) #'(lambda (x y) (eq x (paramod-literal y)))) (when (pn-flag para-into-vars) (delete-into-var-pat (term-sort lhs))) )))) (defun is-paramod-fetch (term itable) (if (term-is-variable? term) (list (gethash (variable-sort term) *parainto-var-rules*)) (dtree-fetch term (get-paramod-entry term itable) nil 0 nil most-positive-fixnum))) (defun is-paramod-fetch-concat (term itable) (let ((res nil)) (foreach-dentry (e (is-paramod-fetch term itable)) (push e res)) (when (pn-flag para-from-vars) (dolist (para (gethash (term-sort term) *parafrom-var-rules*)) (push para res))) (nreverse res))) (defun add-eq-literal (table lhs rhs lit) (declare (type hash-table table) (type term lhs rhs) (type literal lit)) (unless (or ;; (term-is-builtin-constant? lhs) (term-is-lisp-form? lhs)) (when (and (term-is-variable? lhs) (not (pn-flag para-into-vars))) (return-from add-eq-literal nil)) (when (and (term-is-applform? lhs) (pn-flag para-skip-skolem) (is-skolem (term-head lhs))) (return-from add-eq-literal nil)) ;; (let ((paramod (make-paramod :lhs lhs :rhs rhs :literal lit))) ;; #|| (let ((keys (pn-const-possible-pat lhs *current-module*))) (dolist (key keys) (add-to-index-table table key paramod)) t) ||# (is-paramod-insert lhs paramod table) ))) #|| (defun add-eq-literal-to-table (table lit) (declare (type hash-table table) (type literal lit)) (let* ((atom (literal-atom lit)) (lhs (term-arg-1 atom)) (rhs (term-arg-2 atom))) (declare (type term atom lhs rhs)) (when (or (not (pn-flag para-from-units-only)) (unit-clause? (literal-clause lit))) (when (pn-flag para-into-left) (if (pn-flag para-from-left) (if (or (pn-flag para-from-vars) (not (term-is-variable? lhs))) (add-eq-literal table lhs rhs lit)) (if (pn-flag para-from-right) (if (or (pn-flag para-from-vars) (not (term-is-variable? rhs))) (add-eq-literal table rhs lhs lit)))) )))) ||# (defun add-eq-literal-to-table (table lit) (declare (type hash-table table) (type literal lit)) (let* ((atom (literal-atom lit)) (lhs (term-arg-1 atom)) (rhs (term-arg-2 atom))) (declare (type term atom lhs rhs)) (when (or (not (pn-flag para-from-units-only)) (unit-clause? (literal-clause lit))) (when (pn-flag para-from-left) (if (or (pn-flag para-from-vars) (not (term-is-variable? lhs))) (add-eq-literal table lhs rhs lit))) (when (pn-flag para-from-right) (if (or (pn-flag para-from-vars) (not (term-is-variable? rhs))) (add-eq-literal table rhs lhs lit)))) )) (defun delete-eq-literal-from-table (table lit) (declare (type hash-table table) (type literal lit)) (let ((atom (literal-atom lit))) (declare (type term atom)) (let ((lhs (term-arg-1 atom)) (rhs (term-arg-2 atom))) (declare (type term lhs rhs)) (when (pn-flag para-into-left) (delete-eq-literal-atom-from-table table lhs lit)) (when (pn-flag para-into-right) (delete-eq-literal-atom-from-table table rhs lit))))) (defun delete-eq-literal-from-table-slow (table lit) (declare (type hash-table table) (type literal lit)) (maphash #'(lambda (key data) (declare (type list data)) (setf (gethash key table) (delete-if #'(lambda (x) (eq lit (paramod-literal x))) data))) table)) #|| (defun delete-eq-literal-atom-from-table (table term lit) (declare (type hash-table table) (type term term) (type literal lit)) (when (term-is-variable? term) (unless (pn-flag para-into-vars) (return-from delete-eq-literal-atom-from-table nil))) (let ((keys (pn-const-possible-pat term *current-module*))) (dolist (key keys) (let ((new-data nil)) (dolist (paramod (get-indexed-data table key)) (unless (eq lit (paramod-literal paramod)) (push paramod new-data))) (set-to-index-table table key new-data))) t)) ||# (defun delete-eq-literal-atom-from-table (table term lit) (declare (type hash-table table) (type term term) (type literal lit)) (when (term-is-variable? term) (unless (pn-flag para-into-vars) (return-from delete-eq-literal-atom-from-table nil))) (is-paramod-delete term lit table)) ;;; INDEX-PARAMODULATION : Literal ;;; (defun index-paramodulation (lit) (declare (type literal lit)) ;; for from paramodulation (add-literal-to-table *clash-lit-table* lit t) ;; for into paramodulation (unless (positive-eq-literal? lit) (return-from index-paramodulation nil)) ;; (let* ((atom (literal-atom lit)) (lhs (term-arg-1 atom)) (rhs (term-arg-2 atom))) (when (term-is-identical lhs rhs) (return-from index-paramodulation nil)) ;; (add-eq-literal-to-table *paramod-rules* lit))) ;;; UN-INDEX-PARAMODULATION : Literal ;;; (defun un-index-paramodulation (lit) (declare (type literal lit)) ;; (delete-literal-from-table *clash-lit-table* lit t) ;; (unless (eq-literal? lit) (return-from un-index-paramodulation nil)) (let* ((atom (literal-atom lit)) (lhs (term-arg-1 atom)) (rhs (term-arg-2 atom))) (declare (type term atom lhs rhs)) (when (term-is-identical lhs rhs) (return-from un-index-paramodulation nil)) (delete-eq-literal-from-table *paramod-rules* lit)) ) (defun un-index-paramodulation-slow (lit) (declare (type literal lit)) (delete-literal-from-table-slow *clash-lit-table* lit) (unless (eq-literal? lit) (return-from un-index-paramodulation-slow nil)) ;; (delete-eq-literal-from-table-slow *paramod-rules* lit) (let* ((atom (literal-atom lit)) (lhs (term-arg-1 atom)) (rhs (term-arg-2 atom))) (declare (type term atom lhs rhs)) (when (term-is-identical lhs rhs) (return-from un-index-paramodulation-slow nil)) (delete-eq-literal-from-table *paramod-rules* lit)) ) ;;; ============ ;;; DEMODULATORS ;;; ============ (defun get-all-demodulators (hash &optional sort) (declare (type hash-table hash)) (flet ((!clause-id (cl) (if (clause-p cl) (clause-id cl) 0))) (let ((res nil)) (declare (type list res)) (maphash #'(lambda (key demod) (declare (ignore key)) (dolist (d demod) (pushnew d res :test #'eq))) hash) (if sort (sort res #'(lambda (x y) (< (!clause-id (demod-clause x)) (!clause-id (demod-clause y))))) res)))) (defun un-index-demodulator (clause) (declare (type clause clause)) (let ((xdeleted nil)) (maphash #'(lambda (key demods) (let ((new-ent nil) (deleted nil)) (dolist (demod demods) (declare (type demod demod)) (if (eq (demod-clause demod) clause) (setq deleted t) (push demod new-ent))) (when deleted (setq xdeleted t) (setf (gethash key *demodulators*) new-ent)))) *demodulators*) (when xdeleted (decf (pn-stat demodulators-size))) )) ;;; ================== ;;; INDEX TABLE UTILS ;;; ================== ;;; TABLE-TO-CLAUSE-LIST ;;; (defun table-to-clause-list (db) (declare (type hash-table db) (values list)) (let ((clauses nil)) (maphash #'(lambda (x y) (declare (ignore x)) (dolist (data y) (let ((lit (literal-entry-literal data))) (declare (type literal lit)) (pushnew (literal-clause lit) clauses :test #'eq)))) db) clauses)) ;;; TABLE-TO-LITERAL-LIST ;;; (defun table-to-literal-list (db) (declare (type hash-table db) (values list)) (let ((lits nil)) (declare (type list lits)) (maphash #'(lambda (x y) (declare (ignore x)) (dolist (data y) (pushnew (literal-entry-literal data) lits :test #'eq))) db) lits)) ;;; GET-CLAUSES-FROM-TABLE ;;; *** NOTE: now this is used for backsubsume only. (defun get-clashable-clauses-from-literal (db literal &optional (opt nil)) (declare (type hash-table db) (type literal literal) (ignore opt) (values list)) (let ((res nil) (atom (literal-atom literal)) ) (declare (type list res) (type term atom)) ;; (dolist (litent (is-fetch atom db)) (dolist (lit litent) (pushnew (literal-clause lit) res :test #'eq))) ;; (setq res (delete-duplicates (mapcar #'literal-clause ;; (is-fetch-all atom db)))) ;; #|| (with-output-simple-msg () (princ "** clashable for lit ") (pr-literal literal *standard-output*) (print-next) (pr-clause-list res)) ||# ;; res )) ;;; ** NOTE : this is used for back demodulation & from paramodulation ;;; (defun get-clashable-clauses-from-atom (db atom &optional (opt nil)) (declare (type hash-table db) (type term atom) (values list)) (let ((res nil) (key (if (and opt (eq (term-head atom) *fopl-eq*)) (or (and (not (term-is-variable? (term-arg-1 atom))) (term-arg-1 atom)) (and (not (term-is-variable? (term-arg-2 atom))) (term-arg-2 atom)) atom) atom))) (declare (type list res) (type term key)) (dolist (data (get-literal-entry-from-atom db key)) (pushnew (literal-clause (the literal (literal-entry-literal data))) res :test #'eq)) res)) ;;; EOF cafeobj-1.5.4/BigPink/codes/infer.lisp0000644000000000000000000010052412605345045016232 0ustar rootroot;;;-*-Mode:LISP; Package: CHAOS; Base:10; Syntax:Common-lisp -*- ;;; ;;; Copyright (c) 2000-2015, Toshimi Sawada. All rights reserved. ;;; ;;; Redistribution and use in source and binary forms, with or without ;;; modification, are permitted provided that the following conditions ;;; are met: ;;; ;;; * Redistributions of source code must retain the above copyright ;;; notice, this list of conditions and the following disclaimer. ;;; ;;; * Redistributions in binary form must reproduce the above ;;; copyright notice, this list of conditions and the following ;;; disclaimer in the documentation and/or other materials ;;; provided with the distribution. ;;; ;;; THIS SOFTWARE IS PROVIDED BY THE AUTHOR 'AS IS' AND ANY EXPRESSED ;;; OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED ;;; WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ;;; ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY ;;; DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL ;;; DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE ;;; GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS ;;; INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, ;;; WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING ;;; NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS ;;; SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. ;;; ;;; (in-package :chaos) #|============================================================================= System:Chaos Module:BigPink File:infer.lisp =============================================================================|# #-:chaos-debug (declaim (optimize (speed 3) (safety 0) #-GCL (debug 0))) #+:chaos-debug (declaim (optimize (speed 1) (safety 3) #-GCL (debug 3))) ;;; ****************** ;;; Inference Engine ;;; ****************** ;;; ========== ;;; INFER-MAIN ;;; ========== ;;; main loop (defun infer-main (mod) (declare (type module mod)) (let ((status :keep-searching)) (declare (type symbol status)) ;; perform db reset in automatic mode. (unless *pn-no-db-reset* (if (or (pn-flag auto) (pn-flag auto1) (pn-flag auto2) (pn-flag auto3)) (progn (clear-all-index-tables) (reset-module-proof-system mod)) ;; (unless (module-proof-system mod) (auto-db-reset mod)) )) ;; (with-proof-context (mod) (let ((ex-code nil)) (declare (type symbol ex-code)) (setq ex-code (catch :exit-inference ;; ----------- ;; preparation ;; ----------- (prepare-inference mod) (setq status (check-pn-stop)) (if (eq status :keep-searching) (setq *given-clause* (extract-given-clause)) (setq *given-clause* nil)) ;; --------------- ;; start main loop ;; --------------- (when (pn-flag print-message) (format t "~% ~%** Starting PigNose _____________________~% ~%") ) (loop (unless (and *given-clause* (eq status :keep-searching)) (return)) ;; (incf (pn-stat cl-given)) (when (pn-flag print-given) (with-output-simple-msg () (format t "#~d(weight=~d):" (pn-stat cl-given) (clause-pick-weight *given-clause*)) (print-next) (print-clause *given-clause* *standard-output*)) ) ;; (index-clash-literals *given-clause*) (append-clause :usable *given-clause*) ;; ************ ;; DO INFERENCE ;; ************ (setq *new-demodulator* nil) (infer *given-clause*) ;; #|| (when (and (< 0 (pn-parameter interrupt-given)) (= 0 (mod (pn-stat cl-given) (pn-parameter interrupt-given)))) (when (pn-flag print-message) (with-output-msg () (format t "~d clauses have been given." (pn-stat cl-given)))) ;; todo (pn-interact)) ||# ;; (setq status (check-pn-stop)) ;; (when (eq status :keep-searching) (when (= (pn-parameter change-limit-after) (pn-stat cl-given)) (let ((new-limit (pn-parameter new-max-weight))) (setf (pn-parameter max-weight) new-limit) (when (pn-flag print-message) (with-output-msg () (format t "reducing weight limit to ~d" new-limit))))) ;; get next clause (setq *given-clause* (extract-given-clause)) ) ;; #|| report : not yet (when (and (eq status :keep-searching) *given-clause* (< 0 (pn-parameter report))) ;; TODO ;; (pn-report) ) (when (pn-flag print-message) (print-in-progress ".")) ||# ) ;; ------------------ ;; loop ends ;; report the result ;; ------------------ (cond ((eq status :keep-searching) (setq status :sos-empty-exit) (when (pn-flag print-stats) (format t "~%** Search stopped because SOS is empty.~% ~%"))) (t (let ((reason nil)) (case status (:max-given-exit (setq reason "max-given")) (:max-gen-exit (setq reason "max-gen")) (:max-kept-exit (setq reason "max-kept")) (:max-seconds-exit (setq reason "max-seconds")) (otherwise (setq reason "???"))) (when (pn-flag print-stats) (format t "~%** Search stopped due to ~a option.~% ~%" reason)) )) ) ;; (infer-clean-up) status)) ;; (when .debug-pn-memory. (report-pn-memory)) ;; (if ex-code ex-code status))) )) (defun pn-interact () (with-output-simple-msg () (format t "sorry, but interaction during inference is not supported yet.") )) ;;; ===== ;;; INFER ;;; ===== ;;; - applies specified inference rules to given clause. ;;; - inference rules append kept clauses to SOS (set of support). ;;; - after each inference rule is finished, the newly kept clauses ;;; are `post-process'ed (back subsumption, back demodulation, etc.). ;;; (declaim (inline given-clause-ok)) (defun given-clause-ok (clause-id) (declare (type fixnum clause-id)) (let ((clause (get-clause clause-id (psystem-clause-hash *current-psys*)))) (and clause (clause-container clause)))) (defun infer (clause) (declare (type clause clause)) (let ((gen-cls nil) ; clauses generated (cl-id (clause-id clause)) ; identifier of given clause ) (declare (type list gen-cls) (type fixnum cl-id)) ;; ;; adjust max-weight ;; (when (pn-flag control-memory) (pn-control-memory)) ;; ;; binary resolution ;; (when (and (pn-flag binary-res) (given-clause-ok cl-id)) (setq gen-cls (binary-resolution clause)) ; inference rule appends newly ; kept clauses to *SOS* also. ;; post-process new clases in *SOS* ;; - may append even more clauses to *SOS*. (when gen-cls (post-proc-all gen-cls nil :sos)) ) ;; special treatment for propoitional literals (when (and (not (pn-flag binary-res)) (pn-flag prop-res)) (let ((do-prop-resolve nil)) (setq do-prop-resolve (or (pn-flag hyper-res) (pn-flag neg-hyper-res))) #|| (setq do-prop-resolve (or (and (pn-flag hyper-res) (not (positive-clause? clause))) (and (pn-flag neg-hyper-res) (not (negative-clause? clause))))) ||# (when do-prop-resolve (setq gen-cls (binary-resolution clause :propositional-only))) (when gen-cls (post-proc-all gen-cls nil :sos))) ) ;; for subsequent inference rules, check the given clause has ;; not back demodulated or back subsumed..................... ;; ;; hyper resolution ;; (when (and (pn-flag hyper-res) (given-clause-ok cl-id)) (setq gen-cls (hyper-resolution clause)) (when gen-cls (post-proc-all gen-cls nil :sos))) ;; ;; negative hyper resolution ;; (when (and (pn-flag neg-hyper-res) (given-clause-ok cl-id)) (setq gen-cls (neg-hyper-resolution clause)) (when gen-cls (post-proc-all gen-cls nil :sos))) ;; ;; ur(unit resulting) resolution ;; (when (and (pn-flag ur-res) (given-clause-ok cl-id)) (setq gen-cls (ur-resolution clause)) (when gen-cls (post-proc-all gen-cls nil :sos))) ;; paramudulations: ;; paramodulation-into (when (and (pn-flag para-into) (given-clause-ok cl-id)) (setq gen-cls (paramodulation-into clause)) (when gen-cls (post-proc-all gen-cls nil :sos))) ;; paramodulation-from (when (and (pn-flag para-from) (given-clause-ok cl-id)) (setq gen-cls (paramodulation-from clause)) (when gen-cls (post-proc-all gen-cls nil :sos))) ;; finally, the demodulation process (when (and (pn-flag demod-inf) (given-clause-ok cl-id)) (let ((c nil)) (declare (type (or null clause) c)) (setq c (copy-clause clause)) ;; (register-clause c *current-psys*) (incf (pn-stat cl-generated)) (incf (pn-stat demod-inf-gen)) (setf (clause-parents (the clause c)) (list (list (clause-id clause)))) (when (pre-process c nil :sos) (post-proc-all (list c) nil :sos)))) )) ;;; POST-PROCESS sos-pointer input lst ;;; - finished processing a clause ;;; - the clause has already been integrated, indexed and appended to ;;; *sos* ;;; - does back subsumption ;;; - possibly generates more clauses (factoring, back demodulation, ;;; host lists, etc.) ;;; - any newly generated and kept clause will be appended to lst and ;;; will wait their turn to be post-processed. ;;; (defun post-process (clause input list) (declare (type clause clause) (type symbol list)) (when (and (pn-flag eq-units-both-ways) (unit-clause? clause)) ;; generate a flipped copy if ;; 1. it's a (pos or neg) eq unit, and ;; 2. either ;; a. order-equation is clear, or ;; b. order-equation is set, and it couldn't be oriented. ;; (let ((lit (ith-literal clause 1))) (declare (type literal lit)) (when (and (eq-literal? lit) (or (not (pn-flag order-eq)) (not (test-bit (literal-stat-bits lit) oriented-eq-bit)))) (let ((c2 (copy-clause clause))) (declare (type clause c2)) ;; (register-clause c2 *current-psys*) ;; (break "a!") (setf (clause-parents c2) (list (list :copy-rule (clause-id clause) :flip-eq-rule ))) (setq lit (ith-literal c2 1)) (let* ((atom (literal-atom lit)) (new-atom (make-term-with-sort-check *fopl-eq* (list (term-arg-2 atom) (term-arg-1 atom))))) (setf (literal-atom lit) new-atom)) ;; (pre-process c2 input list) )) )) ;; Back DEMODULATION (when (or (not (pn-flag no-new-demod)) input) (when (and (pn-flag back-demod) (unit-clause? clause)) (when (assq clause *new-demodulator*) (unless (pn-flag quiet) (when (or input (pn-flag print-back-demod)) (with-output-simple-msg () (format t "* starting back demodulation with ~d." (clause-id clause)))))) (back-demodulate *new-demodulator* clause input list) ) ) ;; BACK SUBSUMPTION (when (pn-flag back-sub) (let ((cp (back-subsume clause))) (dolist (e cp) (declare (type clause e)) (incf (pn-stat cl-back-sub)) (unless (pn-flag quiet) (when (or input (pn-flag print-back-sub)) (with-output-msg () (format t "~d backsubsumes ~d." (clause-id clause) (clause-id e)) ;; ;; (print-next) ;; (print-clause e) ;; ) )) ;; (clause-full-un-index e) ))) ;; FACTORING (when (pn-flag factor) (all-factors clause list) ) ;; BACK UNIT DELETION (when (and (pn-flag back-unit-deletion) (unit-clause? clause)) (unless (pn-flag quiet) (when (or (pn-flag print-back-demod) input) (with-output-simple-msg () (format t "* starting back unit deletion with ~d." (clause-id clause))))) (back-unit-deletion clause input) ) ;; ) ;;; ;;; POST-PROC-ALL : List[Clause] Bool ClauseListMarker -> Void ;;; (defun post-proc-all (clauses input clause-list-marker) (declare (type list clauses) (type symbol clause-list-marker)) (when (pn-flag debug-infer) (with-output-msg () (princ "start[post-proc-all]:") (pr-clause-list clauses t))) (unless clauses (if (eq clause-list-marker :sos) (setq clauses *sos*) (if (eq clause-list-marker :usable) (setq clauses *usable*)))) (dolist (c clauses) (post-process c input clause-list-marker)) ;; (setq *new-demodulator* nil) ) ;;; HEAT-IS-ON : NOT YET (defun heat-is-on () nil) (defun end-pre-process () (with-output-msg () (princ "end[pre-process]"))) ;;; PRE-PROCESS clause input list ;;; (defun pre-process (clause input list &optional dont-delete) (declare (type clause clause) (type symbol list)) (when (pn-flag debug-infer) (with-output-msg () (format t "start[pre-process]") (print-next))) #|| not yet (when (heat-is-on) (incf (pn-stat hot-generated))) ||# ;; (let ((original-input (if (clause-parents clause) nil (copy-clause clause))) (gen-result nil)) (setq gen-result (proc-gen clause input)) (unless gen-result (unless dont-delete (cl-delete clause)) (when original-input (cl-delete original-input)) (return-from pre-process nil)) (when (pn-flag debug-infer) (with-output-msg () (format t "after proc-gen:") (print-clause clause))) (when original-input ;; when input clauses are changed (unit-del, factor-simp, ;; demod) during pre-process, we keep the original so that ;; proofs make sense. (setf (clause-parents original-input) (list (list :copy-rule (clause-id clause)))) ;; (register-clause original-input *current-psys*) ) ;; registering & indexing (index-all-literals clause) (when (and (eq list :usable) (not (eq clause *given-clause*))) (index-clash-literals clause)) ;; append to list (append-clause list clause) ;; weight (setf (clause-pick-weight clause) (weight-clause clause)) ;; modify pick-weight by age factor #|| (unless (= 0 (pn-parameter age-factor)) (incf (clause-pick-weight clause) (/ (pn-stat cl-given) (pn-parameter age-factor)))) ||# #|| no yet (unless (= 0 (pn-parameter distinct-vars-factor)) (incf (clause-pick-weight clause) (* (clause-distinct-variables clause) (pn-parameter distinct-vars-factor)))) ||# ;; (incf (pn-stat cl-kept)) #|| (when (< 0 (clause-heat-level clause)) (incf (pn-stat hot-kept))) ||# ;; (when (or (and input (not (pn-flag quiet))) (pn-flag print-kept)) (with-output-simple-msg () (format t "* kept in ~a : weight=~d" list (clause-pick-weight clause)) (print-next) (print-clause clause)) ) ;; dynamic demodulation (when (or (not (pn-flag no-new-demod)) input) (when (and (or (pn-flag dynamic-demod) (pn-flag demod-inf)) (unit-clause? clause) (= 1 (the fixnum (num-literals-all clause))) (or (positive-eq-literal? (the literal (ith-literal clause 1))) (and input (not (eq-literal? (the literal (ith-literal clause 1))))))) ;; (let ((demod-flag (dynamic-demodulator clause))) (declare (type symbol demod-flag)) (when demod-flag (let ((new-demod (new-demodulator clause demod-flag))) (declare (type demod new-demod)) (unless (pn-flag quiet) (when (pn-flag print-new-demod) (with-output-simple-msg () (princ "* new demodulator: ") (print-next) (print-demodulator new-demod)) )) (push (cons clause new-demod) *new-demodulator*) ))) )) ;; check for proof (let ((e nil)) (setq e (check-for-proof clause list)) (when (and (not (= -1 (pn-parameter max-proofs))) (>= (pn-stat empty-clauses) (pn-parameter max-proofs))) ;; the end (when (pn-flag print-stats) (format t "~%** Search stopped due to max-proofs option.~% ~%") ) (infer-clean-up) ;; (exit-pn-proof :max-proofs-exit)) (when e (when (pn-flag debug-infer) (with-output-msg () (princ "End[pre-process]: empty clause."))) (return-from pre-process nil)) ) ;; #|| NOT YET (when (and (not input) (<= (clause-pick-weight clause) (pn-parameter dynamic-heat-weight))) (hot-dynamic clause)) ||# ;; (when (pn-flag debug-infer) (end-pre-process)) clause )) ;;; EXIT-PN-PROOF ;;; (defun exit-pn-proof (exit-status) (throw :exit-inference exit-status)) ;;; PROC-GEN : Clause Input -> Bool ;;; main processing applied to generated clauses. ;;; ;;; if input is non-nil, clause is an input clause, and some ;;; tests should not be performed. ;;; ;;; taks a generated clause and do the following (* mesans optional): ;;; 1 rename variables ;;; *2 print the clause ;;; 3 demodulate ;;; 5 handle evaluable literals (not yet) ;;; *6 order equalities ;;; *7 unit-deletion ;;; 8 merge identical literals ;;; *9 max literals test (if not input) ;;; *10 max listict vars check (if not input) ;;; 11 tautology check ;;; *12 max weight test (if not input) ;;; *13 delete identical nested skolems (if not input) ;;; *14 sort literals ;;; *15 forward subsumption ;;; 16 rename variables (again) ;;; (defun proc-gen (clause &optional (input nil)) (declare (type clause clause) (values (or null clause))) ;; RENAME VARIABLES (cl-unique-variables clause) (when (pn-flag very-verbose) (with-output-msg () (princ "new clause: ") (print-clause clause)) ) ;; DEMODULATION (let ((rwc (pn-stat rewrites))) (declare (type fixnum rwc)) (demodulate-clause clause) (when (and (pn-flag very-verbose) (not (= rwc (pn-stat rewrites)))) (with-output-simple-msg () (princ " * after dmodulation: ") (print-next) (print-clause clause))) ) ;; ;; check c1 = c2 ;; (when (pn-flag dist-const) (pn-distinct-constants clause) ) ;; ;; reduce t/f valued literals ;; #|| (when (pn-flag debug-infer) (with-output-msg () (princ "*before t/f elim: ") (print-clause clause))) ||# (when (literal-true-false-reduce clause) (incf (pn-stat cl-tautology)) (return-from proc-gen nil)) #|| (when (pn-flag debug-infer) (with-output-msg () (princ "*after t/f elim: ") (print-clause clause))) ||# ;; ORDER EQUALITIES (when (pn-flag order-eq) (if (pn-flag lrpo) (order-equalities-lrpo clause input) (order-equalities clause input)) (when (and (not input) (pn-flag discard-non-orientable-eq) (unit-clause? clause) (= (the fixnum (num-literals-all clause)) 1) (positive-eq-literal? (the literal (ith-literal clause 1))) (not (test-bit (literal-stat-bits (the literal (ith-literal clause 1))) oriented-eq-bit)) ) (return-from proc-gen nil))) ;; UNIT DELETION (when (and (pn-flag unit-deletion) (> (the fixnum (num-literals clause)) 1)) (unit-deletion clause) ) ;; FACTOR SIMPLIFY (when (pn-flag factor) (let ((num (factor-simplify clause))) (declare (type fixnum num)) (incf (pn-stat factor-simplifications) num))) ;; MERGE IDENTIAL LITERALS (merge-clause clause) ;; check stop conditions specified by parameters. ;; ;; max-literals (when (and (not input) (not (= -1 (pn-parameter max-literals)))) (when (< (pn-parameter max-literals) (num-literals clause)) (incf (pn-stat cl-wt-delete)) (return-from proc-gen nil))) #|| ;; max-answers (when (and (not input) (not (= -1 (pn-parameter max-answers)))) (when (< (pn-parameter max-answers) (num-answers clause)) (incf (pn-stat cl-wt-delete)) (return-from proc-gen nil))) ;; ||# (when (and (not input) (pn-flag discard-xx-resolvable) (xx-resolvable clause)) (incf (pn-stat cl-wt-delete)) (return-from proc-gen nil)) ;; TAUTOLOGY CHECK (when (cl-tautology? clause) (incf (pn-stat cl-tautology)) (return-from proc-gen nil)) ;; MAX WEIGHT TEST (when (and (not input) (not (= (pn-parameter max-weight) most-positive-fixnum))) (let ((wt 0)) (declare (type fixnum wt)) (setq wt (weight-clause clause)) (when (> wt (pn-parameter max-weight)) (when (pn-flag very-verbose) (with-output-simple-msg () (format t " deleted because weight=~d." wt))) (incf (pn-stat cl-wt-delete)) (return-from proc-gen nil)))) ;; DELETE IDENTICAL NESTED SKOLEM FUNCTIONS. (when (and (not input) (pn-flag delete-identical-nested-skolem)) (when (ident-nested-skolems clause) (incf (pn-stat cl-wt-delete)) (return-from proc-gen nil)) ) ;; SORT LITERALS (when (pn-flag sort-literals) (sort-literals clause) ) ;; (when (pn-flag order-eq) ;; for each equality literal that has been flipped, add and ;; entry to the history. to make sense, this has to be done ;; after sort-literals. (let ((n 0)) (declare (type fixnum n)) (dolist (lit (clause-literals clause)) (declare (type literal lit)) (incf n) (when (test-bit (literal-stat-bits lit) scratch-bit) ;; scratch-bit meaning flipped. (clear-bit (literal-stat-bits lit) scratch-bit) (setf (clause-parents clause) (nconc (clause-parents clause) (list (list :flip-eq-rule))))))) ) ;; FORWARD SUBSUMPTION (when (pn-flag for-sub) (when (pn-flag debug-infer) (with-output-msg () (princ "*proc-gen: start forward subsumption:") )) (let ((e nil)) (declare (type (or null clause) e)) (setq e (forward-subsume clause)) (when e (if (pn-flag very-verbose) (with-output-simple-msg () (format t " * subsumed by ~d." (clause-id e))) (when (and input (not (pn-flag quiet))) (with-output-simple-msg () (format t "-- following clause subsumed by ~d during input processing:" (clause-id e)) (print-next) (print-clause clause)) )) (incf (pn-stat cl-for-sub)) (when (eq (clause-container e) :sos) (incf (pn-stat for-sub-sos))) ;; (return-from proc-gen nil) )) (when (pn-flag debug-infer) (with-output-msg () (princ "*proc-gen: end forward subsumption.") )) ) ;; all over clause) ;;; ---------------------------------- ;;; PREPARE-INFERENCE : Module -> Void ;;; (defun prepare-inference (mod) (declare (type module mod)) ;; (clear-all-index-tables) ;; ;; add x = x if required ;; (if (pn-flag universal-symmetry) (let ((eqvar (make-variable-term *cosmos* (gensym "Univ")))) (declare (type term eqvar)) (let ((symm (car (cnf-to-list (make-term-with-sort-check *fopl-eq* (list eqvar eqvar)) *current-psys*)))) (declare (type clause symm) (type psystem *current-psys*)) (if (or (pn-flag auto) (pn-flag auto1) (pn-flag auto2) (pn-flag auto3)) (push symm (psystem-axioms *current-psys*)) (progn (push symm (psystem-usable *current-psys*)) (push symm *usable*)) ) ;; #|| (if (pn-flag simple-index) (setq *universal-symmetry* nil) (setq *universal-symmetry* (car symm))) ||# )) ;; (setq *universal-symmetry* nil) () ) ;; a dirty kludge (unless (or (pn-flag auto) (pn-flag auto1) (pn-flag auto2) (pn-flag auto3)) (setf (psystem-sos *current-psys*) (remove :system-goal (psystem-sos *current-psys*) :test #'eq)) (setf *sos* (remove :system-goal *sos* :test #'eq))) ;; reset statistics (reset-pn-clocks) (reset-infer-statistics) ;; (clock-start pn-global-run-time) (pn-start-internal-clock) ;; setting flags/options for automode. (if (or (pn-flag auto) (pn-flag auto1)) (pn-automatic-settings-1) (if (pn-flag auto2) (pn-automatic-settings-2) (if (pn-flag auto3) (pn-automatic-settings-3) ;; else, full manual mode: ;; support setting sos implicitly by axiom label. ;; (pn-automatic-sos-setting) ;; NOT for now. () ))) ;; (check-pn-options) ;; process demodulators (setup-demodulators) ;; (cond ((pn-flag process-input) ;; PROCESS INPUT if RQUIRED (when (pn-flag print-message) (format t "~% ~%** start input processing.~%") ) (when (and (pn-flag print-message) (not (pn-flag print-lists-at-end))) (print-usable-list)) (when (pn-flag print-message) (with-output-simple-msg () (format t " process usable:"))) (setf (pn-stats usable-size) 0) (let ((list *usable*)) (setq *usable* nil) (dolist (c list) (pre-process c t :usable)) (post-proc-all nil t :usable)) (when *current-psys* (setf (psystem-usable *current-psys*) *usable*)) ;; (when (and (pn-flag print-message) (not (pn-flag print-lists-at-end))) (print-sos-list) ) (when (pn-flag print-message) (with-output-simple-msg () (format t " process sos:"))) (setf (pn-stats sos-size) 0) (let ((list *sos*)) (setq *sos* nil) (dolist (c list) (pre-process c t :sos))) (post-proc-all nil t :sos) ;; (let ((list *passive*)) (dolist (c list) ;; index passive (index-all-literals c))) ;; (when (and (pn-flag print-message) (not (pn-flag print-lists-at-end))) (print-passive-list) (print-demodulators-list)) ;; (when (pn-flag print-message) (format t "~%** end process input.~%")) ) ;; (t (setf (pn-stats usable-size) (length *usable*)) (setf (pn-stats sos-size) (length *sos*)) (pignose-index-all mod) )) ;; weight clauses (let ((input-sos-first? (pn-flag input-sos-first))) (dolist (cl *sos*) (setf (clause-pick-weight cl) (if input-sos-first? most-negative-fixnum (weight-clause cl))))) ;; (reset-memory-control) ;; (when *current-psys* ;; clean up sos & usable of module psys ;; they are now bound to globals ;; note: we must remain passive as is. (setf (psystem-sos *current-psys*) nil) (setf (psystem-usable *current-psys*) nil)) ;; NOT USED.... (setq *max-input-id* (1- (next-clause-num))) ;; ) ;;; CHECK-PN-OPTIONS ;;; - check for inconsistent or odd settings ;;; - if a bad combination of sttings is found, either a warning ;;; message is printed. ;;; (defun check-pn-options () (unless (or (pn-flag binary-res) (pn-flag hyper-res) (pn-flag neg-hyper-res) (pn-flag ur-res) (pn-flag para-from) (pn-flag para-into) (pn-flag demod-inf) ) (with-output-chaos-warning () (princ "no inference rules are specified."))) ;; (when (and (pn-flag para-from) (not (pn-flag para-from-right)) (not (pn-flag para-from-left))) (with-output-chaos-warning () (princ "`para-from' is set, but `para-from-left' and `para-from-right' are both off."))) ;; (when (and (pn-flag para-into) (not (pn-flag para-into-right)) (not (pn-flag para-into-left))) (with-output-chaos-warning () (princ "`para-into' is set, but `para-into-left' and `para-from-right' are both off."))) ;; (when (and (not (pn-flag para-from)) (not (pn-flag para-into)) (pn-flag para-ones-rule)) (with-output-chaos-warning () (princ "`para-from', `para-into' rules are off, but `para-ones-rule' is set."))) ;; (when (and (or (pn-flag kb) (pn-flag kb2) (pn-flag kb3)) (not (pn-flag lrpo))) (with-output-chaos-warning () (princ "`knuth-bendix' is set and `lrpo' is off."))) ;; (when (= (pn-parameter demod-limit) 0) (with-output-chaos-warning () (princ "demod-limit=0; set it to -1 for no limit."))) (when (= (pn-parameter max-literals) 0) (with-output-chaos-warning () (princ "max-literals=0; set it to -1 for no limit."))) (when (= (pn-parameter max-proofs) 0) (with-output-chaos-warning () (princ "max-proofs=0; set it to -1 for no limit."))) (when (not (= -1 (pn-parameter pick-given-ratio))) (if (pn-flag sos-stack) (with-output-chaos-warning () (princ "`sos-stack' has priority over `pick-given-ratio'.")) (if (pn-flag sos-queue) (with-output-chaos-warning () (princ "`sos-queue' has priority over `pick-given-ratio'."))))) (when (and (pn-flag sos-stack) (pn-flag sos-queue)) (with-output-chaos-warning () (princ "`sos-queue' has priority over `sos-stack'."))) ;; #|| (when (and (pn-flag para-all) (pn-flag detailed-history)) (with-output-chaos-warning () (princ "detailed paramod history is ignored when `para-all' is set."))) ||# ) ;;; EOF cafeobj-1.5.4/BigPink/codes/inv.lisp0000644000000000000000000010526312605345045015730 0ustar rootroot;;;-*-Mode:LISP; Package: CHAOS; Base:10; Syntax:Common-lisp -*- ;;; ;;; Copyright (c) 2000-2015, Toshimi Sawada. All rights reserved. ;;; ;;; Redistribution and use in source and binary forms, with or without ;;; modification, are permitted provided that the following conditions ;;; are met: ;;; ;;; * Redistributions of source code must retain the above copyright ;;; notice, this list of conditions and the following disclaimer. ;;; ;;; * Redistributions in binary form must reproduce the above ;;; copyright notice, this list of conditions and the following ;;; disclaimer in the documentation and/or other materials ;;; provided with the distribution. ;;; ;;; THIS SOFTWARE IS PROVIDED BY THE AUTHOR 'AS IS' AND ANY EXPRESSED ;;; OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED ;;; WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ;;; ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY ;;; DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL ;;; DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE ;;; GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS ;;; INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, ;;; WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING ;;; NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS ;;; SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. ;;; ;;; (in-package :chaos) #|============================================================================= System:Chaos Module:BigPink File:inv.lisp =============================================================================|# #-:chaos-debug (declaim (optimize (speed 3) (safety 0) #-GCL (debug 0))) #+:chaos-debug (declaim (optimize (speed 1) (safety 3) #-GCL (debug 3))) ;;; ;;; Automatic Checking of Invariance of Predicate on Object. ;;; ;;; if no-nil, we are called with `check safety ...' (declaim (special .pn-check-safety.)) (defvar .pn-check-safety. nil) ;;; INV-CHECK-SYSTEM ;;; (defstruct (inv-check-system) (module nil :type (or null module)) ; context module (sort nil :type (or null sort*)) ; sort of object (predicate nil :type (or null method)) ; predicate representing invariance (initial-state nil :type (or null term)) ; initial state constant term (object nil :type term) ; term representing target object (methods nil :type list) ; methods w.r.t. hidden sort (goals nil :type list) ; goals to be proved (conditions nil :type list) ; filed goals (after-loop 0 :type fixnum) ; loop start point (after-num 0 :type fixnum)) (defun pn-get-meth-unique (module opname) (declare (type module module) (type list opname) (values method)) (with-in-module (module) (let* ((parsedop (parse-op-name opname)) (ops (find-qual-operators parsedop module)) (op nil)) (unless ops (with-output-chaos-error ('no-op) (format t "no such operator with name ~s" opname))) (when (cdr ops) (with-output-chaos-error ('amb-op) (format t "more than one operators with name ~s" opname))) ;; (dolist (meth (opinfo-methods (car ops))) (unless (method-is-error-method meth) (setq op meth) (return))) op))) (defun make-term-pat (method) (declare (type method method)) (make-term-with-sort-check method (mapcar #'(lambda (x) (make-variable-term x (gensym "_V"))) (method-arity method)))) (defun make-inv-check-context (methods hole target-pattern) (let ((res nil)) (dolist (method methods) (let ((kernel-pat nil)) (setq kernel-pat (make-term-with-sort-check method (mapcar #'(lambda (x) (if (not (sort-is-hidden x)) (make-variable-term x (gensym "_V")) (progn (unless (sort= x (term-sort target-pattern)) (with-output-chaos-error ('no-sort-match) (princ "unmatched hidden sorts") )) hole))) (method-arity method)))) (push (if (term-is-variable? target-pattern) kernel-pat (apply-subst (list (cons hole kernel-pat)) target-pattern)) res))) ;; (when (pn-flag debug-inv-check) (with-output-simple-msg () (format t "** check contexts:") (dolist (tp res) (print-next) (term-print tp)))) ;; res)) (defun make-inv-check-contexts (methods hole target-patterns) (let ((res nil)) (dolist (tpat target-patterns) (setq res (nconc res (make-inv-check-context methods hole tpat)))) res)) (defun pn-expand-macro (term module) (if (module-macros module) (let ((pat-string (with-output-to-string (stream) (let ((*print-with-sort* t)) (term-print term stream))))) (simple-parse-from-string pat-string)) term)) (defun make-pn-inv-check-pat (predicate target-pat &key (make-condition nil) (print-msg *error-output*) (make-imply nil)) (let ((hole nil) (hypo-pat nil) (hole-subst nil) ;; (method-pat nil) (conc-pat nil) (check-pat nil) ) ;; (setq hypo-pat (make-term-with-sort-check predicate (mapcar #'(lambda (x) (let ((var (make-variable-term x (gensym "_V")))) (when (sort-is-hidden x) (push var hole)) (if make-imply make-imply var))) (method-arity predicate)))) (when (cdr hole) (with-output-chaos-error ('too-many-holes) (princ "predicate pattern has too many hidden context"))) (setq hole (if make-imply make-imply (car hole))) (setq hole-subst (list (cons hole target-pat))) (setq conc-pat (apply-subst hole-subst hypo-pat)) ;; make check pattern (if make-imply (setq check-pat (make-term-with-sort-check *fopl-imply* (list hypo-pat conc-pat))) (setq check-pat conc-pat) ) ;; bound free variables (normalize-quantifiers check-pat) ;; (when print-msg (let ((*print-indent* 7)) (if (stringp print-msg) (setq print-msg (with-output-to-string (stream) (if make-condition (format stream "~%~a: " make-condition) (format stream "~%goal: ")) (term-print check-pat stream))) (progn (if make-condition (format print-msg "~%~a: " make-condition) (format print-msg "~%goal: ")) (term-print check-pat print-msg))))) ;; negate (unless make-condition (setq check-pat (make-term-with-sort-check *fopl-neg* (list check-pat)))) ;; expand macro (setq check-pat (pn-expand-macro check-pat *current-module*)) ;; translate to clause form ;; (formula->clause-1 check-pat (module-proof-system *current-module*)) (values check-pat print-msg) )) (defun cl-member-test (c1 c2) (eq (clause-axiom c1) (clause-axiom c2))) (defun setup-inv-check-db (module goal preset-sos preset-passive) (when (or (pn-flag auto) (pn-flag auto1) (pn-flag auto2) (pn-flag auto3)) ;; in auto mode, ;; essentially we need not do anything, ;; but make sure to force `db-reset', because new axioms ;; are added implicitly. (let ((psys nil)) (clear-all-index-tables) (reset-module-proof-system module) (setq psys (module-proof-system module)) (setf (psystem-passive psys) preset-passive) (return-from setup-inv-check-db nil))) ;; ;; manual mode ;; ;; implicitly perform db reset. (let ((psys nil)) (clear-all-index-tables) (reset-module-proof-system module) (setq psys (module-proof-system module)) ;; (setf (psystem-sos psys) preset-sos) ;; (setf (psystem-passive psys) preset-passive) ;; reset SOS (let ((sos nil) (usable nil) (passive nil) (sos-pre? preset-sos) ;; (passive-pre? preset-passive) (put-goal-in-sos? nil)) (when (memq :system-goal preset-sos) (setq preset-sos (delete :system-goal preset-sos :test #'eq)) (setq put-goal-in-sos? t)) (dolist (cl (psystem-axioms psys)) (cond ((eq (clause-axiom cl) goal) ;; generated goal (if put-goal-in-sos? (progn (setf (clause-container cl) :sos) (push cl sos)) ;; put the goal into usable (progn (setf (clause-container cl) :usable) (push cl usable))) ) ;; the following cases treat non-goal (sos-pre? (if (member cl preset-sos :test #'cl-member-test) (progn (setf (clause-container cl) :sos) (push cl sos)) (if (member cl preset-passive :test #'cl-member-test) (progn (setf (clause-container cl) :passive) (push cl passive)) (progn (setf (clause-container cl) :usable) (push cl usable))))) (t (if (member cl preset-passive :test #'cl-member-test) (progn (setf (clause-container cl) :passive) (push cl passive)) (if (positive-clause? cl) (progn (setf (clause-container cl) :sos) (push cl sos)) (progn (setf (clause-container cl) :usable) (push cl usable))))))) ;; (setf (psystem-sos psys) (reverse sos)) (setf (psystem-passive psys) (reverse passive)) (setf (psystem-usable psys) (reverse usable)) ) )) ;;; PERFORM-INV-CHECK ;;; prepare run-time env of PigNose and invoke it. ;;; (defun perform-inv-check (module predicate target-pat conditions additional-conds &key dont-negate type hole) (declare (type module module) (type method predicate) (type term target-pat) (type list conditions) (values symbol)) (let ((ret-code nil) (preset-sos nil) (preset-passive nil) (*pn-no-db-reset* t) ) (declare (special *pn-no-db-reset*)) (when (module-proof-system module) (setq preset-sos (psystem-sos (module-proof-system module))) (setq preset-passive (psystem-passive (module-proof-system module))) ) (initialize-module *pn-proof-module*) (import-module *pn-proof-module* :protecting module) (prepare-for-parsing *pn-proof-module*) (setf (module-op-lex *pn-proof-module*) (module-op-lex module)) (with-in-module (*pn-proof-module*) (let ((inv-check-pat nil) (goal nil) (ax nil) (flags (save-pn-flags)) (parameters (save-pn-parameters))) ;; make goal (setq inv-check-pat (make-pn-inv-check-pat predicate target-pat :make-condition dont-negate :make-imply (if (and (eq type :from) hole) hole nil))) (setq goal (make-rule :lhs inv-check-pat :rhs *bool-true* :condition *bool-true* :labels nil :behavioural nil :type :pignose-axiom)) ;; NOTE: we may need ...................... ;; the goal is added as an axiom. (check-axiom-error-method *current-module* goal t) (add-axiom-to-module *current-module* goal) ;; pre conditions (dolist (a (append conditions additional-conds)) (setq ax (make-rule :lhs a :rhs *bool-true* :condition *bool-true* :labels nil :behavioural nil :type :pignose-axiom)) (check-axiom-error-method *current-module* ax t) (add-axiom-to-module *current-module* ax)) ;; (set-needs-rule) (compile-module *current-module*) ;; ;; invoke PigNose ////// ;; ...... (unless (or (pn-flag auto) (pn-flag auto2) (pn-flag auto3) (pn-flag binary-res) (pn-flag hyper-res) (pn-flag neg-hyper-res) (pn-flag para-from) (pn-flag para-into) (pn-flag demod-inf)) (with-output-simple-msg () (princ "** NO inference rules are specified.") (print-next) (princ "system will use `auto' mode.")) (setq preset-sos nil) ;; (setq preset-passive nil) (auto-change-flag auto t) (auto-change-flag universal-symmetry t)) ;; only interest the first proof (setf (pn-parameter max-proofs) 1) ;; (setup-inv-check-db *current-module* goal preset-sos preset-passive) ;; do resolve (setq ret-code (do-resolve *current-module*)) ;; restore flags¶meters (restore-pn-flags flags) (restore-pn-parameters parameters) )) ;; ret-code )) ;;; DO-INVARIANCE-CHECK ;;; the working horse of invariance check. ;;; (defun do-invariance-check (check-sys type) (let ((module (inv-check-system-module check-sys)) (pred (inv-check-system-predicate check-sys)) (init-state (inv-check-system-initial-state check-sys)) (object (inv-check-system-object check-sys)) (sort (inv-check-system-sort check-sys)) (success nil) (skip-l (inv-check-system-after-loop check-sys)) (skip-num (inv-check-system-after-num check-sys))) (with-in-module (module) (case type ((:from :of) (let* ((ret-code nil) (loops -1) (max-loops (pn-parameter inv-check-max-depth)) (target-patterns nil) (fail nil) (next-goals nil) (failed-goals nil) (hole (make-variable-term sort (gensym "_hole"))) (subst-pat (list (cons hole (or object init-state)))) (do-skip nil) ) ;; set initial target pattern: ;; hole will be substituted by real target. (setf (inv-check-system-goals check-sys) (list hole)) ;; (catch 'inv-check-fail (loop (setq target-patterns (inv-check-system-goals check-sys)) (unless target-patterns ;; we've done without failure. (setq success t) (return)) ;; check depth limit (incf loops) (when (and (not (= -1 max-loops)) (> loops max-loops)) (with-output-msg () (format t "stopping invariance check due to `inv-check-max-depth'") (return nil))) ;; (let ((num 0) ; case # of current depth (loops). (cur-conditions nil) (cur-cond nil)) ;; initialy, cur-conditions contains all of the goals ;; to be checked for the current depth. (setq cur-conditions (mapcar #'(lambda (x) (apply-subst subst-pat x)) target-patterns)) (do* ((targets target-patterns (cdr targets)) (target-pat (car targets) (car targets)) (reals cur-conditions (cdr reals)) (real-target (car reals) (car reals)) (hypo-str nil nil)) ((endp targets)) ;; all not-yet tested goals are used for additional ;; hypothesis of the current goal,i.e. real-target. (setq cur-conditions (remove real-target cur-conditions)) (setq cur-cond (mapcar #'(lambda (x) (multiple-value-bind (pat pat-str) (make-pn-inv-check-pat pred x :make-condition "hypo" :print-msg "" :make-imply nil) (push pat-str hypo-str) pat)) cur-conditions)) ;; print start message (let ((*standard-output* *error-output*)) (format t "~%==========") (format t "~%case #~d-~d: " loops (incf num)) (term-print real-target) (format t "~%----------") ;; #|| (with-output-simple-msg () (format t "loops=~a, num=~a, skip-l=~a, skip-num=~a" loops num skip-l skip-num)) ||# ;; (if (or (< loops skip-l) (and (= loops skip-l) (< num skip-num))) (with-output-simple-msg () (format t "** will skip real proof") (setq do-skip t)) (setq do-skip nil)) #|| (dolist (c cur-conditions) (terpri) (princ "hypo: ") (let ((*print-indent* 7)) (term-print c))) ||# (dolist (pst (reverse hypo-str)) (princ pst)) ) ;; do the check (setq ret-code (if do-skip :skip-exit (perform-inv-check module pred real-target ;; previous (inv-check-system-conditions check-sys) ;; current cur-cond :hole hole :type (if (zerop loops) :of type))) ) ;; (when (eq type :from) (setq subst-pat nil)) ;; (let ((*standard-output* *error-output*)) (if (eq ret-code :max-proofs-exit) ;; success (progn (when (zerop loops) (push (if (eq type :from) (make-variable-term sort (gensym "_KV")) target-pat) next-goals)) (format t "~%** success")) ;; fail (progn (if do-skip (format t "~%** SKIPPING...") (format t "~%** fail")) (setq fail t) ;; reachability check from intial state (when (and init-state (eq type :of) (or (not do-skip) (pn-flag check-init-always))) (let ((target (apply-subst (list (cons hole init-state)) target-pat))) (terpri) (princ "** check with the initial state : ") (term-print target) (setq ret-code (perform-inv-check module pred target (inv-check-system-conditions check-sys) cur-cond :type type)) (unless (eq :max-proofs-exit ret-code) (with-output-simple-msg () (princ "** fail!") (print-next) (princ "trying to find a counter example: ")) ;; (setq ret-code (perform-inv-check module pred target (inv-check-system-conditions check-sys) cur-cond :type type :dont-negate "ax") ) (when (eq :max-proofs-exit ret-code) (with-output-simple-msg () (princ "** found a counter example!") (print-next) (princ "initial state can reach to a hazardous state.") )) (setq success nil) (throw 'inv-check-fail nil) ) (with-output-simple-msg () (princ "** ok, it's safe.")) )) ;; next-goals accumurates base context patterns ;; for generating goals of the next loop (depth). (push target-pat next-goals) ;; put the failed goal back to condition ;; this will be used as hyphthesis of the ;; next goal (sibling). (push real-target cur-conditions) ) )) ) ;; end for all current target,i.e., the current depth. (if (or fail (zerop loops)) ;; found at least one failure case, or we've just done ;; for initial base case. (progn (setq next-goals (nreverse next-goals)) (setq failed-goals (nconc failed-goals next-goals)) (setf (inv-check-system-goals check-sys) (make-inv-check-contexts (inv-check-system-methods check-sys) hole next-goals)) (setf (inv-check-system-conditions check-sys) (nconc (inv-check-system-conditions check-sys) (mapcar #'(lambda (x) (make-pn-inv-check-pat pred x :make-condition "adding axiom" :print-msg *error-output* :make-imply nil)) cur-conditions))) ) ;; success (setf (inv-check-system-goals check-sys) nil)) ;; (setq next-goals nil) ) ; done for this level ;; ) ; done for all ) ;; #|| (when (and success (eq type :of) init-state) ;; we must check reachability (setq success nil) (let ((*standard-output* *error-output*)) (format t "~%==============================") (format t "~%** start reachability check **") (format t "~%------------------------------")) (dolist (pat failed-goals (setq success t)) (let ((target (apply-subst (list (cons hole init-state)) pat))) (setq ret-code (perform-inv-check module pred target (inv-check-system-conditions check-sys) nil)) (let ((*standard-output* *error-output*)) (if (eq ret-code :max-proofs-exit) (format t "~%*** success") (progn (format t "~%** fail") (return nil)))))) ) ||# ;; (unless success (if .pn-check-safety. (format *error-output* "~%** Failed to prove safety of ~{~a~}.~% ~%" (method-symbol pred)) (format *error-output* "~%** Failed to prove ~{~a~} is invariant.~% ~%" (method-symbol pred))) (return-from do-invariance-check nil)) ;; success!! (if .pn-check-safety. (format *error-output* "~%** Predicate ~{~a~} is safe!!~% ~%" (method-symbol pred)) (format *error-output* "~%** Predicate ~{~a~} is invriant!!~% ~%" (method-symbol pred))) t )) ;; (otherwise ;; TODO ) ) ) )) ;;; PN-CHECK-INVARIANCE : InputArgs -> Void ;;; args ::= '( op ["of" term] [{"from"|"with"} op] [ "after" ])' (defun parse-pn-check-command (args) (declare (type list args)) (let ((pred-name nil) (type nil) (init-name nil) (object-pat nil) (loop-after 0) (loop-after-sub 0) (args-list args) (e nil)) ;; get predicate-name (loop (unless args-list (return nil)) (setq e (pop args-list)) (when (member e '("of" "from" "with" "after" ":of" ":from" ":with" ":after") :test #'equal) (return nil)) (push e pred-name)) ;; get object pattern if any (when (member e '("of" ":of") :test #'equal) (setq type :of) (loop (unless args-list (return nil)) (setq e (pop args-list)) (when (member e '("from" "with" "after" ":from" ":with" ":after") :test #'equal) (return nil)) (push e object-pat))) ;; get initial pattern or target pattern if any. (unless type (when (member e '("from" ":from") :test #'equal) (setq type :from)) (when (member e '("with" ":with") :test #'equal) (setq type :with))) (when (member e '(":from" ":with" "from" "with") :test #'equal) (loop (unless args-list (return nil)) (setq e (pop args-list)) (when (member e '("after" ":after") :test #'equal) (return nil)) (push e init-name))) (when (member e '("after" ":after") :test #'equal) (let ((pos 0)) (setq e (pop args-list)) (multiple-value-setq (loop-after pos) (parse-integer e :junk-allowed t)) (unless (integerp loop-after) (with-output-chaos-error ('invalid-arg) (format t "invalid `after' agument : ~s" e))) (if (and (< pos (length e))) (progn (setq e (subseq e (1+ pos))) (setq loop-after-sub (read-from-string e)) (unless (integerp loop-after-sub) (format t "invalid `after' argument : ~s" e))) (setq loop-after-sub 1)) )) (values (nreverse pred-name) (nreverse object-pat) (nreverse init-name) loop-after loop-after-sub type) )) (defun pn-check-invariance (args) (declare (type list args)) (let ((target-module (get-context-module))) (declare (type module target-module)) (compile-module target-module) (multiple-value-bind (pred-name object-pat init-name loop-after loop-after-sub type) (parse-pn-check-command args) (unless (and pred-name type (or init-name object-pat)) (with-output-chaos-error ('invalid-args) (format t "insufficient args for check : ~{~s~}" args))) (let ((predicate (pn-get-meth-unique target-module pred-name)) (init-method (if init-name (pn-get-meth-unique target-module init-name) nil)) (object (if object-pat (simple-parse target-module object-pat) nil)) (hsort nil) (check-sys nil)) (declare (type fixnum loop-after loop-after-sub)) ;; (unless (sort= (method-coarity predicate) *bool-sort*) (with-output-chaos-error ('invalid-op) (princ "operator is not a predicate:") (print-chaos-object predicate))) (when init-method (unless (sort-is-hidden (method-coarity init-method)) (with-output-chaos-error ('ivalid-op) (princ "the value of operator ") (print-chaos-object init-method) (print-next) (princ "is not hidden sort, only hidden valued oprators are meaningful.") ))) ;; (when (and object (term-ill-defined object)) (return-from pn-check-invariance nil)) ;; (when init-method (unless (member (method-coarity init-method) (method-arity predicate)) (with-output-chaos-error ('invalid-op) (princ "given predicate and operator don't match.")))) ;; (when (and init-method object) (unless (eq (method-coarity init-method) (method-coarity (term-head object))) (with-output-chaos-error ('invalid-pat) (princ "given pattern does not match with init value.") (print-next) (princ "init value : ")(print-chaos-object init-method) (print-next) (princ "pattern : ")(term-print object)))) ;; (setq hsort (if init-method (method-coarity init-method) (method-coarity (term-head object)))) ;; ;; prepare initial inv-check-system ;; (setq check-sys (make-inv-check-system :module target-module :sort hsort :predicate predicate :initial-state (if init-method (make-term-pat init-method) nil) :object object :after-loop loop-after :after-num loop-after-sub)) ;; (setf (inv-check-system-methods check-sys) (nreverse (remove-if-not #'(lambda (x) (sort= hsort (method-coarity x))) (module-beh-methods target-module)))) ;; ;; do check ;; (let ((start-time (get-internal-real-time)) (grand-total "")) (declare (type integer start-time) (type simple-string grand-total)) ;; (do-invariance-check check-sys type) ;; (setq grand-total (format nil "~,3f sec" (elapsed-time-in-seconds start-time (get-internal-real-time)))) (unless *chaos-quiet* (when (pn-flag print-stats) (with-output-simple-msg () (format t "(grand total time ~a)" grand-total))))))))) ;;; PN-CHECK-SAFETY ;;; (defun pn-check-safety (args) (declare (type list args)) (let ((.pn-check-safety. t)) (pn-check-invariance args))) ;;; EOF cafeobj-1.5.4/BigPink/codes/lrpo.lisp0000644000000000000000000001572612605345045016114 0ustar rootroot;;;-*-Mode:LISP; Package: CHAOS; Base:10; Syntax:Common-lisp -*- ;;; ;;; Copyright (c) 2000-2015, Toshimi Sawada. All rights reserved. ;;; ;;; Redistribution and use in source and binary forms, with or without ;;; modification, are permitted provided that the following conditions ;;; are met: ;;; ;;; * Redistributions of source code must retain the above copyright ;;; notice, this list of conditions and the following disclaimer. ;;; ;;; * Redistributions in binary form must reproduce the above ;;; copyright notice, this list of conditions and the following ;;; disclaimer in the documentation and/or other materials ;;; provided with the distribution. ;;; ;;; THIS SOFTWARE IS PROVIDED BY THE AUTHOR 'AS IS' AND ANY EXPRESSED ;;; OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED ;;; WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ;;; ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY ;;; DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL ;;; DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE ;;; GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS ;;; INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, ;;; WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING ;;; NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS ;;; SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. ;;; ;;; (in-package :chaos) #|============================================================================= System:Chaos Module:BigPink File:lrpo.lisp =============================================================================|# #-:chaos-debug (declaim (optimize (speed 3) (safety 0) #-GCL (debug 0))) #+:chaos-debug (declaim (optimize (speed 1) (safety 3) #-GCL (debug 3))) ;;; lrpo-lex : t1 t2 -> Bool ;;; -- returns t iff t1 > t2 ;;; -- t1 and t2 must be of same operator ;;; (defun lrpo-lex (t1 t2) (declare (type term t1 t2)) (let ((subs1 (term-subterms t1)) (subs2 (term-subterms t2))) (loop (unless subs1 (return)) (unless (term-is-identical (car subs1) (car subs2)) (return)) (setq subs1 (cdr subs1) subs2 (cdr subs2))) (if (null subs1) nil ; identical (if (lrpo (car subs1) (car subs2)) ;; is t1 > each remaining arg of t2 (every #'(lambda (x)(lrpo t1 x)) (cdr subs2)) ;; is there a remaining arg of t1 s.t. arg == t2 or arg > t2 ? (dolist (ra (cdr subs1) nil) (when (or (term-is-identical ra t2) (lrpo ra t2)) (return-from lrpo-lex t))))))) ;;; num-occurrences ;;; (declaim (inline num-occurrences)) (defun num-occurrences (arg term) (declare (type term arg term) (values fixnum)) (let ((i 0)) (declare (type fixnum i)) (dolist (sub (term-subterms term)) (when (term-is-identical sub arg) (incf i))) i)) ;;; term-multiset-diff t1 t2 (defun term-multiset-diff (t1 t2) (declare (type term t1 t2)) (let ((done nil) (diff nil)) (declare (type list diff)) (dolist (sub (term-subterms t1)) (unless (member sub done :test #'term-is-identical) (push sub done) (when (> (num-occurrences sub t1) (num-occurrences sub t2)) (push sub diff)))) diff)) ;;; lrpo-multiset ;;; (defun lrpo-multiset (t1 t2) (declare (type term t1 t2)) (let ((t1-sub (term-subterms t1)) (t2-sub (term-subterms t2))) (declare (type list t1-sub t2-sub)) (unless t1-sub (return-from lrpo-multiset nil)) (unless t2-sub (return-from lrpo-multiset t)) (let ((diff1 (term-multiset-diff t1 t2)) (diff2 (term-multiset-diff t2 t1)) (ok t)) (declare (type list diff1 diff2)) (if diff2 (progn (dolist (r2 diff2 ) (unless ok (return)) (setq ok nil) (dolist (r1 diff1) (when (setq ok (lrpo r1 r2)) (return)))) ok) nil) ))) ;;; LRPO ;;; t iff t1 > t2 (defun lrpo (t1 t2) (declare (type term t1 t2)) (let ((s1 (term-sort t1)) (s2 (term-sort t2))) (declare (type sort* s1 s2)) (when (sort< s1 s2 *current-sort-order*) (return-from lrpo nil)) (when (sort< s2 s1 *current-sort-order*) (return-from lrpo t)) (when (term-is-lisp-form? t1) (return-from lrpo nil)) (when (term-is-lisp-form? t2) (return-from lrpo t)) (when (term-is-builtin-constant? t1) (return-from lrpo nil)) (when (term-is-builtin-constant? t2) (return-from lrpo t)) (when (term-is-variable? t1) (return-from lrpo nil)) (when (term-is-variable? t2) (return-from lrpo (occurs-in t2 t1))) ;; (if (method-is-of-same-operator (term-head t1) (term-head t2)) (lrpo-lex t1 t2) ;; (lrpo-multiset t1 t2) (let ((prec (op-lex-precedence (term-head t1) (term-head t2)))) (declare (type symbol prec)) (if (eq prec :same) (lrpo-multiset t1 t2) (if (eq prec :greater) ;; t1 > each arg of t2 (every #'(lambda (x) (lrpo t1 x)) (term-subterms t2)) ;; there is an arg of t1 s.t. arg = t2 or arg > t2. (some #'(lambda (x) (or (term-is-identical x t2) (lrpo x t2))) (term-subterms t1)))))) )) (declaim (inline lrpo-greater)) (defun lrpo-greater (t1 t2) (declare (type term t1 t2)) (lrpo t1 t2)) (defun order-equalities-lrpo (clause &optional input?) (declare (type clause clause) (ignore input?)) (dolist (lit (clause-literals clause)) (declare (type literal lit)) (when (eq-literal? lit) (let* ((eq (literal-atom lit)) (alpha (term-arg-1 eq)) (beta (term-arg-2 eq))) (declare (type term eq alpha beta)) (if (lrpo-greater alpha beta) (set-bit (literal-stat-bits lit) oriented-eq-bit) (if (lrpo-greater beta alpha) (let ((new-atom (make-term-with-sort-check *fopl-eq* (list beta alpha)))) (setf (literal-atom lit) new-atom) (set-bit (literal-stat-bits lit) scratch-bit) (set-bit (literal-stat-bits lit) oriented-eq-bit) ))))))) ;;; (defun pn-orient-term-pair (module pair) (unless (pn-flag lrpo) (return-from pn-orient-term-pair (values (car pair) (cdr pair)))) (unless (module-proof-system module) (let ((*chaos-quiet* t)) (reset-module-proof-system module))) (with-proof-context (module) (if (lrpo (car pair) (cdr pair)) (values (car pair) (cdr pair)) (if (lrpo (cdr pair) (car pair)) (values (cdr pair) (car pair)) (values (car pair) (cdr pair))))) ) ;;; EOF cafeobj-1.5.4/BigPink/codes/modconv.lisp0000644000000000000000000005607412605345045016606 0ustar rootroot;;;-*-Mode:LISP; Package: CHAOS; Base:10; Syntax:Common-lisp -*- ;;; ;;; Copyright (c) 2000-2015, Toshimi Sawada. All rights reserved. ;;; ;;; Redistribution and use in source and binary forms, with or without ;;; modification, are permitted provided that the following conditions ;;; are met: ;;; ;;; * Redistributions of source code must retain the above copyright ;;; notice, this list of conditions and the following disclaimer. ;;; ;;; * Redistributions in binary form must reproduce the above ;;; copyright notice, this list of conditions and the following ;;; disclaimer in the documentation and/or other materials ;;; provided with the distribution. ;;; ;;; THIS SOFTWARE IS PROVIDED BY THE AUTHOR 'AS IS' AND ANY EXPRESSED ;;; OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED ;;; WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ;;; ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY ;;; DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL ;;; DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE ;;; GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS ;;; INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, ;;; WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING ;;; NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS ;;; SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. ;;; ;;; (in-package :chaos) #|============================================================================= System:Chaos Module:BigPink File:modconv.lisp =============================================================================|# #-:chaos-debug (declaim (optimize (speed 3) (safety 0) #-GCL (debug 0))) #+:chaos-debug (declaim (optimize (speed 1) (safety 3) #-GCL (debug 3))) ;;; ----------------------------------------------- ;;; CONVERTERS : CafeOBJ Axioms --> Fopl Sentences ;;; ----------------------------------------------- ;;; MAKE-PIGNOSE-AXIOM ;;; (defun make-pignose-axiom (lhs &key behavioural (type :pignose-axiom) label) (make-rule :lhs lhs :rhs *bool-true* :condition *bool-true* :labels label :behavioural behavioural :type type) ) ;;; AXIOM->FORMULA : Axiom -> FoplSentence ;;; convert CafeoBJ axiom (eq, ceq, beq, and cbeq) to FoplSentence ;;; (declaim (special *elim-tf-in-axioms*)) (defvar *elim-tf-in-axioms* t) (defun pn-set-tf-flag (value) (declare (ignore value)) (if (pn-flag meta-paramod) (setq *elim-tf-in-axioms* nil) (setq *elim-tf-in-axioms* t))) (defun pn-method-is-of-same-operator (m1 m2) (declare (type method m1 m2)) (eq (method-operator m1) (method-operator m2))) #|| (eval-when (:execute :load-toplevel) (setq .pn-ignore-ops. (list *bool-and* ; _and_ *bool-or* ; _or_ *bool-not* ; not_ *sort-membership* ; _: *bool-if* ; if_then_else_fi *bool-imply* ; _implies_ *bool-iff* ; _iff_ *bool-xor* ; _xor_ *bool-equal* ; _==_ *beh-equal* ; _=b=_ *bool-nonequal* ; _=/=_ *beh-eq-pred* ; _=*=_ *bool-and-also* ; _and-also_ *bool-or-else*))) ; _or-else_ ||# (defun axiom->formula (ax) (declare (type axiom ax)) (when *debug-formula* (format t "~%>> start axiom->formula conversion <<") (print-next) (print-chaos-object ax)) ;; we ignore axioms of built-in Boolean operations ;; and, or, not, xor, ==, =/=, =b=, =*=, etc. user should be noticed. (let* ((lhs (axiom-lhs ax)) (head (if (term-is-applform? lhs) (term-head (axiom-lhs ax)) nil)) (type (axiom-type ax))) (declare (type (or null method) head) (type symbol type)) (when (and head (member head .pn-ignore-ops. :test #'pn-method-is-of-same-operator)) (when *chaos-verbose* (with-output-chaos-warning () (format t "axiom to formula translation: ignoring axiom") (print-next) (print-chaos-object ax))) (return-from axiom->formula nil)) ;; (case type ((:equation :pignose-axiom :pignose-goal) #|| too early !!! (when (eq type :pignose-goal) ;; we negate it before taking univeraly quantified closure: (setq lhs (copy-term-reusing-variables lhs (term-variables lhs))) (setq lhs (make-term-with-sort-check *fopl-neg* (list lhs)))) ||# (let ((frm-lhs (cafeobj-term->formula lhs)) (frm-rhs (if (eq type :equation) (cafeobj-term->formula (axiom-rhs ax)))) (frm-cond (if (eq type :equation) (if (term-is-similar? *bool-true* (axiom-condition ax)) nil (cafeobj-term->formula (axiom-condition ax))))) (frm nil) (*elim-tf-in-axioms* (if (not (eq (axiom-type ax) :equation)) t *elim-tf-in-axioms*))) (declare (type (or null term) frm-lhs frm-rhs frm-cond frm)) ;; (when *elim-tf-in-axioms* (when (term-is-similar? *bool-true* frm-lhs) (setq frm-lhs nil)) (when (term-is-similar? *bool-true* frm-rhs) (setq frm-rhs nil)) (when (term-is-similar? *bool-false* frm-lhs) (setq frm-lhs nil) (setq frm-rhs (make-term-with-sort-check *fopl-neg* (list frm-rhs)))) (when (term-is-similar? *bool-false* frm-rhs) (setq frm-rhs nil) (setq frm-lhs (make-term-with-sort-check *fopl-neg* (list frm-lhs)))) (unless frm-lhs (setq frm-lhs frm-rhs) (setq frm-rhs nil))) ;; (if (and frm-lhs frm-rhs) (if frm-cond ;; ~cond | lhs = rhs (cond -> lhs = rhs) (setq frm (make-term-with-sort-check *fopl-or* (list (make-term-with-sort-check *fopl-neg* (list frm-cond)) (make-term-with-sort-check (if (and *fopl-two-equalities* (axiom-is-behavioural ax)) *fopl-beq* *fopl-eq*) (list frm-lhs frm-rhs))))) ;; lhs = rhs (setq frm (make-term-with-sort-check (if (and *fopl-two-equalities* (axiom-is-behavioural ax)) *fopl-beq* *fopl-eq*) (list frm-lhs frm-rhs)))) ;; (if frm-cond ;; ~cond | lhs (setq frm (make-term-with-sort-check *fopl-or* (list (make-term-with-sort-check *fopl-neg* (list frm-cond)) frm-lhs))) ;; lhs (setq frm frm-lhs)) ) ;; (when *debug-formula* (format t "~%>> done <<") (print-next) (term-print frm)) ;; if the axioms is :pignose-goal, i.e. declared by ;; `goal', negate it. (when (eq type :pignose-goal) (setq frm (copy-term-reusing-variables frm (term-variables frm))) (normalize-quantifiers frm) (setq frm (make-term-with-sort-check *fopl-neg* (list frm)))) ;; frm)) (otherwise (with-output-chaos-error () (format t "sorry, but transitions are not supported yet.") (print-next) (print-chaos-object ax))) ))) ;;; MODULE-AXIOMS->CLAUSE : Module -> List[Clause] ;;; (defun module-all-equations (mod) (declare (type module mod) (values list)) (let ((*seen* nil)) (declare (special *seen*) (type list *seen*)) (labels ((all-own-equations (mod) (declare (type module mod)) (reverse (module-equations mod))) (imported-equations (mod) (declare (type module mod)) (let ((res nil) (subs (nreverse (module-direct-submodules mod)))) (declare (type list res subs)) (dolist (sub subs) (block next-sub (let ((sm (car sub))) (declare (type module sm)) (when (memq sm *seen*) (return-from next-sub nil)) (push sm *seen*) (when (eq :using (cdr sub)) (return-from next-sub nil)) (let ((sub-ax nil) (to-be-fixed (module-axioms-to-be-fixed mod))) (dolist (ax (all-own-equations sm)) (push (or (cdr (assq ax to-be-fixed)) ax) sub-ax)) (setq res (nconc res (nconc (nreverse sub-ax) (mapcar #'(lambda (x) (or (cdr (assq x to-be-fixed)) x)) (imported-equations sm))) )))))) ;; (delete-duplicates res :test #'eq)))) ;; (setq *seen* nil) (nconc (all-own-equations mod) (imported-equations mod)) ))) ;;; MODULE-INCLUDES-FORMULA : Module -> Bool ;;; t iff module imports (semi)built-in FOPL module. ;;; (defun module-includes-formula (mod) (declare (type module mod)) (assq *fopl-sentence-module* (module-all-submodules mod))) ;;; MAKE-PN-APPL (mod method) ;;; (defun make-pn-appl-pat (mod method) (with-in-module (mod) (make-term-with-sort-check method (mapcar #'(lambda (x) (pn-make-var-on-the-fly x)) (method-arity method))))) ;;; COVER-SET-OF-SORT ;;; (defun cover-set-of-sort (mod sort) (declare (type module mod) (type sort* sort) (values list)) (let ((constructors (sort-constructors sort)) (res nil)) (declare (type list constructors res)) (dolist (constr constructors) (push (make-pn-appl-pat mod constr) res)) res)) ;;; MODULE-COVER-SETS : mod -> list ( < sort . cover-set >) ...) ;;; (defun module-cover-sets (mod &optional (no-built-in t)) (declare (type module mod) (values list)) (let ((res nil)) (dolist (sort (module-all-sorts mod)) (declare (type sort* sort)) (block next (when (and no-built-in (let ((smod (sort-module sort))) (or (module-is-hard-wired smod) (module-is-system-module smod)))) (return-from next nil)) (let ((cset (cover-set-of-sort mod sort))) (when cset (push (cons sort cset) res)))) ) res)) (defun get-all-methods-of-sort-strict (sort module) (declare (type sort* sort) (type module module)) (let ((res nil)) (declare (type list res)) (dolist (info (module-all-operators module)) (dolist (m (opinfo-methods info)) (unless (or (eq *void-method* m) (is-skolem m module)) (when (sort= (method-coarity m) sort) (push m res))))) res)) ;;; INTRO-EXISTS : formula ex-vars -> formula ;;; (defun intro-exists (form vars) (declare (type term form) (type list vars)) (if (null vars) form (let ((var-decl nil)) (declare (type (or null term))) (if (cdr vars) (setq var-decl (make-right-assoc-normal-form *var-decl-list* vars)) (setq var-decl (car vars))) (make-term-with-sort-check *fopl-exists* (list var-decl form))))) ;;; PN-NO-JUNK ;;; genarates axioms of no-junk. ;;; (defun pn-no-junk (mod) (declare (type module mod)) #+:chaos-debug (declare (notinline op-lex-compare)) (let ((csets (module-cover-sets mod)) (all-axioms nil)) (declare (type list csets)) (with-in-module (mod) (dolist (cset csets) (declare (type list cset)) (block next (let* ((sort (car cset)) (covers (cdr cset)) (axioms nil)) (declare (type sort* sort) (type list covers axioms)) (let ((constrs (sort-constructors sort)) (methods (get-all-methods-of-sort-strict sort mod)) (gen-methods nil)) (declare (type list constrs methods gen-methods)) ;; #| (dolist (const constrs) (when (method-arity const) (return-from next nil))) |# ;; (dolist (method methods) (unless (memq method constrs) (let* ((arg-1 (make-pn-appl-pat mod method)) (vars (term-variables arg-1)) (pat nil) (axiom-lhs nil)) (declare (type term arg-1) (list vars pat) (type (or null term) axiom-lhs)) (dolist (cover covers) (let* ((real-cover (term-unique-vars cover)) (cover-vars (term-variables real-cover)) (eq-pat (make-term-with-sort-check *fopl-eq* (list (copy-term-reusing-variables arg-1 vars) real-cover)))) (if (null cover-vars) (push eq-pat pat) ;; cover pat contains vars. ;; introduce existential quantifier. (push (intro-exists eq-pat cover-vars) pat)))) (if (cdr pat) ; more than one pat (setq axiom-lhs (make-right-assoc-normal-form *fopl-or* pat)) (setq axiom-lhs (car pat))) ;; (push (make-pignose-axiom axiom-lhs :label 'no-junk) axioms) (push method gen-methods))) ) ; done for all methods for a sort ;; redunduncy check. this is important ;; if there are some axioms of the form ;; foo(X) = bar(X) ;; and ;; foo > bar ;; foo from axioms. (let ((do-delete nil)) (declare (type list do-delete)) (dolist (ax axioms) (let* ((lhs (axiom-lhs ax)) (type (fopl-sentence-type lhs)) (lhs-meth nil) (rules nil)) ;; lhs ::= ;; | meth(x) = constr1 ... ;; | \E[...] X = Y ... (when (eq type :or) (setq lhs (term-arg-1 lhs)) (setq type (fopl-sentence-type lhs))) (case type (:eq (setq lhs (term-arg-1 lhs)) (setq lhs-meth (term-head lhs))) (:exists (setq lhs (term-arg-1 (term-arg-2 lhs))) (setq lhs-meth (term-head lhs))) (otherwise (with-output-panic-message () (format t "pn-no-junk: illegal type ~s" type))) ) (when lhs-meth (setq rules (method-rules-with-different-top lhs-meth))) ;; (dolist (rule rules) (let* ((rhs (rule-rhs rule))) (when (and (term-is-application-form? rhs) (let ((rhs-meth (term-head rhs))) (and (memq rhs-meth gen-methods) (eq :greater (op-lex-compare lhs-meth (term-head rhs)))) )) ;; (pushnew ax do-delete)))))) (dolist (ax do-delete) (setq axioms (delete ax axioms)))) #|| (unless axioms ;; we make ;; var = consr1 | var = constr2 ... (let ((var (pn-make-var-on-the-fly sort)) (pat nil) (axiom-lhs nil)) (declare (type term var)) (dolist (cover covers) (push (make-term-with-sort-check *fopl-eq* (list var (term-unique-vars cover))) pat)) (if (cdr pat) ; more than one pat (setq axiom-lhs (make-right-assoc-normal-form *fopl-or* pat)) (setq axiom-lhs (car pat))) ;; (push (make-pignose-axiom axiom-lhs :label 'no-junk) axioms))) ||# ) ;; (setq all-axioms (nconc all-axioms axioms)) ))) ; done for a sort all-axioms ))) ;;; PN-NO-CONFUSION ;;; generates axioms (clauses) of no-confusion. ;;; (defun pn-no-confusion (mod) (declare (type module mod)) (let ((csets (module-cover-sets mod)) (axioms nil)) (declare (type list csets axioms)) (with-in-module (mod) (dolist (cset csets) (declare (type list cset)) (let ((covers (cdr cset))) (do ((pat-list covers (cdr pat-list))) ((endp pat-list)) (dolist (pat2 (cdr pat-list)) #|| ;; ~(a = b) (push (make-pignose-axiom (make-term-with-sort-check *fopl-neg* (list (make-term-with-sort-check *fopl-eq* (list (term-unique-vars (car pat-list)) (term-unique-vars pat2))))) :label 'no-conf) axioms) ||# ;; (a = b) = false (push (make-pignose-axiom (make-term-with-sort-check *fopl-eq* (list (make-term-with-sort-check *fopl-eq* (list (term-unique-vars (car pat-list)) (term-unique-vars pat2))) *bool-false*)) :label 'no-conf) axioms) )))) axioms ))) ;;; MODULE-AXIOMS->CLAUSE : Proof-sytem -> List[Clause] ;;; (defun module-axioms->clause (psys &aux (mod (psystem-module psys))) (declare (type psystem psys) (type module mod)) (include-FOPL mod) (compile-module mod) (unless (module-includes-formula mod) (with-output-chaos-error ('formula-error) (princ "module does not import FOPL-CLAUSE module."))) ;; (flet ((clause-is-valid-for-resolution (clause) (declare (type clause clause)) (if (unit-clause? clause) (let ((lit (car (clause-literals clause)))) (declare (type literal lit)) (if (positive-eq-literal? lit) (if (term-is-lisp-form? (term-arg-2 (literal-atom lit))) nil t) t)) t))) (with-in-module (mod) (let ((axs (module-all-equations mod)) (ax-clauses nil) (demods nil) (bi-demods nil)) (declare (type list axs ax-clauses demods)) (dolist (ax axs) (let ((cls nil) (bi-demod nil) (demod nil)) (declare (type list cls demod)) (let ((lhs (axiom-lhs ax))) (when (or (not (term-is-applform? lhs)) (not (method-is-meta-demod (term-head lhs)))) (dolist (cl (formula->clause-1 (axiom->formula ax) psys ax)) (declare (type clause cl)) (if (clause-is-builtin-demod cl) (push cl bi-demod) (if (clause-axiom-declared-as-demodulator cl) (push cl demod) (when (clause-is-valid-for-resolution cl) (push cl cls))))))) (setq ax-clauses (nconc ax-clauses (nreverse cls))) (setq demods (nconc demods (nreverse demod))) (setq bi-demods (nconc bi-demods (nreverse bi-demod))))) (setf (psystem-axioms psys) ax-clauses) (setf (psystem-demods psys) demods) (setf (psystem-bi-demods psys) bi-demods)) ;; no junk/ no confusion axioms if required (when (pn-flag no-junk) (let ((axs (pn-no-junk mod))) (dolist (ax axs) (dolist (cl (formula->clause-1 (axiom->formula ax) psys ax)) (declare (type clause cl)) (push cl (psystem-axioms psys)))))) (when (pn-flag no-confusion) (let ((axs (pn-no-confusion mod))) (dolist (ax axs) (dolist (cl (formula->clause-1 (axiom->formula ax) psys ax)) (declare (type clause cl)) (push cl (psystem-axioms psys)))))) ))) ;;; EOF cafeobj-1.5.4/BigPink/codes/paramod.lisp0000644000000000000000000006005312605345045016554 0ustar rootroot;;;-*-Mode:LISP; Package: CHAOS; Base:10; Syntax:Common-lisp -*- ;;; ;;; Copyright (c) 2000-2015, Toshimi Sawada. All rights reserved. ;;; ;;; Redistribution and use in source and binary forms, with or without ;;; modification, are permitted provided that the following conditions ;;; are met: ;;; ;;; * Redistributions of source code must retain the above copyright ;;; notice, this list of conditions and the following disclaimer. ;;; ;;; * Redistributions in binary form must reproduce the above ;;; copyright notice, this list of conditions and the following ;;; disclaimer in the documentation and/or other materials ;;; provided with the distribution. ;;; ;;; THIS SOFTWARE IS PROVIDED BY THE AUTHOR 'AS IS' AND ANY EXPRESSED ;;; OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED ;;; WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ;;; ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY ;;; DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL ;;; DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE ;;; GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS ;;; INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, ;;; WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING ;;; NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS ;;; SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. ;;; ;;; (in-package :chaos) #|============================================================================= System:Chaos Module:BigPink File:infer.lisp =============================================================================|# #-:chaos-debug (declaim (optimize (speed 3) (safety 0) #-GCL (debug 0))) #+:chaos-debug (declaim (optimize (speed 1) (safety 3) #-GCL (debug 3))) ;;;============================================================================ ;;; paramodulation inference rules ;;;============================================================================ (declaim (inline get-term-at)) (defun get-term-at (pos term) (declare (type list pos) (type term term) (values term)) (let ((sub term)) (declare (type term sub)) (dolist (p (reverse pos)) (declare (type fixnum p)) (setq sub (term-arg-n sub p))) sub)) #|| (defun apply-subst-2 (sigma atom target-term beta) (declare (type list sigma) (type term atom target-term beta)) (if (term-eq atom target-term) (apply-subst sigma beta) (cond ((term-is-variable? atom) (let ((im (variable-image sigma atom))) (if im ; i.e. im = sigma(term) (values im t) (values atom nil)))) ((term-is-builtin-constant? atom) atom) ((term-is-constant? atom) (if (term-eq atom target-term) (apply-subst sigma beta) (apply-subst sigma atom))) ((term-is-application-form? atom) (let ((l-result nil) (modif-sort nil)) (declare (type list l-result)) (dolist (s-t (term-subterms atom)) (multiple-value-bind (image-s-t same-sort) (apply-subst-2 sigma s-t target-term beta) (declare (type term image-s-t)) (unless same-sort ;; (update-lowest-parse s-t) (setq modif-sort t)) (push image-s-t l-result))) (setq l-result (nreverse l-result)) (if modif-sort (let ((term-image (make-term-with-sort-check (term-head atom) l-result))) (values term-image (sort= (term-sort atom) (term-sort term-image)))) (values (make-applform (term-sort atom) (term-head atom) l-result) t)))) (t (with-output-panic-message () (princ "apply-subst: encoutered illegual term") (terpri) (term-print atom))))) ) ||# (defun apply-subst-2 (sigma atom target-term beta target-pos &optional arg-pos) (declare (type list sigma) (type term atom target-term beta)) (cond ((equal target-pos arg-pos) (apply-subst sigma beta)) ((term-is-variable? atom) (let ((im (variable-image sigma atom))) (if im (values im t) (values atom nil)))) ((term-is-builtin-constant? atom) atom) ((term-is-constant? atom) (apply-subst sigma atom)) ((term-is-application-form? atom) (let ((l-result nil) (modif-sort nil)) (let ((pos 0)) (dolist (s-t (term-subterms atom)) (multiple-value-bind (image-s-t same-sort) (apply-subst-2 sigma s-t target-term beta target-pos (cons pos arg-pos)) (unless same-sort (setq modif-sort t)) (push image-s-t l-result) (incf pos))) (setq l-result (nreverse l-result)) (if modif-sort (let ((term-image (make-term-with-sort-check (term-head atom) l-result))) (values term-image (sort= (term-sort atom) (term-sort term-image)))) (values (make-applform (term-sort atom) (term-head atom) l-result) t))))) (t (with-output-panic-message () (princ "apply-subst: encoutered illegual term") (terpri) (term-print atom))))) ;;; BUILD-BIN-PARA ;;; construct paramodulant ;;; (defun build-bin-para (rule target-term into-lit subst arg-pos) (declare (type paramod rule) (type term target-term) (type literal into-lit) (type list subst) (values clause)) (let ((beta (paramod-rhs rule)) (from-lit (paramod-literal rule)) (into-clause (literal-clause into-lit)) (new-literals nil) (new-clause (new-clause *current-psys*))) (declare (type term beta) (type literal from-lit) (type clause into-clause new-clause) (type list new-literals)) (when (or (pn-flag debug-para-into) (pn-flag debug-para-from)) (with-output-msg () (princ "build-bin-para:") (print-next) (princ "target-term=")(term-print target-term) (print-next) (princ "subst=") (print-substitution subst) (print-next) )) ;; into clause (dolist (l (clause-literals into-clause)) (declare (type literal l)) (let ((new-atom nil) (new-literal (shallow-copy-literal l new-clause))) (declare (type literal new-literal) (type (or null term) new-atom)) (if (eq l into-lit) (setq new-atom (apply-subst-2 subst (literal-atom l) target-term beta arg-pos)) (setq new-atom (apply-subst subst (literal-atom l)))) (setf (literal-atom new-literal) new-atom) (mark-literal new-literal) (push new-literal new-literals))) ;; from clause (dolist (l (clause-literals (literal-clause from-lit))) (declare (type literal l)) (unless (eq l from-lit) (let ((new-atom nil) (new-literal (shallow-copy-literal l new-clause))) (setq new-atom (apply-subst subst (literal-atom l))) (setf (literal-atom new-literal) new-atom) (mark-literal new-literal) (push new-literal new-literals)))) ;; (setf (clause-literals new-clause) (nreverse new-literals)) (when (or (pn-flag debug-para-into) (pn-flag debug-para-from)) (with-output-msg () (princ "build-bin-pra: new clause=") (print-clause new-clause))) ;; ;; (register-clause new-clause *current-psys*) new-clause )) ;;; PARA-INTO-TERMS-ALPHA ;;; (defun para-into-terms-alpha (para-rule term lit &optional arg-pos) (declare (type paramod para-rule) (type term term) (type literal lit) (list arg-pos) (values list)) (let ((paras nil)) (declare (type list paras)) (when (term-is-application-form? term) (cond ((eq (term-head term) *fopl-eq*) (when (pn-flag para-into-left) (setq paras (nconc paras (para-into-terms-alpha para-rule (term-arg-1 term) lit (cons 0 arg-pos) )))) (when (pn-flag para-into-right) (setq paras (nconc paras (para-into-terms-alpha para-rule (term-arg-2 term) lit (cons 1 arg-pos) )))) (return-from para-into-terms-alpha paras)) ;; (t (let ((pos 0)) (declare (type fixnum pos)) (dolist (sub-t (term-subterms term)) (setq paras (nconc paras (para-into-terms-alpha para-rule sub-t lit (cons pos arg-pos)))) (incf pos)))) )) #|| (when (term-is-application-form? term) (let ((pos 0)) (declare (type fixnum pos)) (dolist (sub-t (term-subterms term)) (setq paras (nconc paras (para-into-terms-alpha para-rule sub-t lit (cons pos arg-pos)))) (incf pos)))) ||# ;; ;; HEY! ;; (when (term-is-variable? term) (unless (pn-flag para-into-vars) (return-from para-into-terms-alpha nil))) ;; (let ((lhs (paramod-lhs para-rule)) (p-lit (paramod-literal para-rule)) (in-subst nil) (paramod nil) (same nil) (junk-cl-id nil)) (declare (ignore same) (type term lhs) (type literal p-lit) (type list in-subst) (type (or null clause) paramod) (type (or null fixnum) junk-cl-id)) ;; ** (when (eq (literal-clause p-lit) (literal-clause lit)) ;; (setq same t) (multiple-value-bind (new-cl llit id) (make-dummy-clause (literal-clause lit) lit) (declare (ignore new-cl)) (setq junk-cl-id id) (setq lit llit) (setq term (literal-atom lit)) (when arg-pos (setq term (get-term-at arg-pos term))) )) ;; ;; (trace unify) ;; (multiple-value-bind (new-subst no-match e-equal) (unify lhs term in-subst) (declare (ignore e-equal)) (if no-match (when junk-cl-id (delete-clause! junk-cl-id *current-psys*)) (progn ;; ******* #|| (when same ;; *****: (with-output-msg () (princ "TAAAAAAAAAAAAAAA!!!!") (print-next) (format t "from paramod: ~a" para-rule) (print-next) (format t "target cl : ") (print-clause (literal-clause lit)) (print-next) (format t "target term : ") (term-print (literal-atom lit)) ) ;; (setf (pn-flag debug-para-from) t) ) ||# ;; ***** (when (pn-flag debug-para-from) (with-output-msg () (princ "para-from: success with rule =") (prin1 para-rule) (print-next) (princ "from clause : ") (print-clause (literal-clause p-lit)) (print-next) (princ "target clause : ") (print-clause (literal-clause lit)) (print-next) (princ "target literal: ") (prin1 lit))) (setq paramod (build-bin-para para-rule term lit new-subst arg-pos)) (when junk-cl-id (delete-clause! junk-cl-id *current-psys*)) (setf (clause-parents paramod) (list (list :para-from-rule (clause-id (literal-clause p-lit)) (clause-id (literal-clause lit))))) ;; (incf (pn-stat cl-generated)) (incf (pn-stat para-from-gen)) (let ((pre-res nil)) (setq pre-res (pre-process paramod nil :sos)) (when pre-res (setq paras (nconc paras (list paramod))))) )))) ;;; ;;; (setf (pn-flag debug-para-from) nil) ;; (untrace unify) ;;; paras)) ;;; PARA-FROM-ALPHA ;;; (defun para-from-alpha (para-rule from-lit) (declare (type paramod para-rule) (type literal from-lit) (values list)) (let ((list-para nil) (lhs (paramod-lhs para-rule))) (declare (type list list-para)) (dolist (cl (if (term-is-variable? lhs) *usable* (get-clashable-clauses-from-atom *clash-lit-table* lhs))) (declare (type clause cl)) (when (or (not (pn-flag para-from-units-only)) (unit-clause? cl)) (dolist (lit (clause-literals cl)) (unless (eq lit from-lit) (let ((atom (literal-atom lit))) (setq list-para (nconc list-para (para-into-terms-alpha para-rule atom lit)))) ) ) )) list-para )) ;;; PARAMODULATION-FROM ;;; - binary paramodulation from the given clause ;;; - paramodulants are given to `pre-process'. ;;; (defun paramodulation-from (clause) (declare (type clause clause) (values list)) (let ((paras nil)) (declare (type list paras)) (when (or (pn-flag debug-infer) (pn-flag debug-para-from)) (with-output-msg () (princ "Begin[paramod-from]:"))) (when (or (not (pn-flag para-from-units-only)) (unit-clause? clause)) (dolist (from-lit (clause-literals clause)) (declare (type literal from-lit)) (block next (let ((atom (literal-atom from-lit))) (declare (type term atom)) (when (and (positive-eq-literal? from-lit) (not (term-is-identical (term-arg-1 atom) (term-arg-2 atom)))) (let ((para-rule (make-paramod :literal from-lit))) (declare (type paramod para-rule)) (when (pn-flag para-from-left) (when (term-is-variable? (term-arg-1 atom)) (unless (pn-flag para-from-vars) (return-from next nil))) (setf (paramod-lhs para-rule) (term-arg-1 atom) (paramod-rhs para-rule) (term-arg-2 atom)) (setq paras (nconc paras (para-from-alpha para-rule from-lit)))) (when (pn-flag para-from-right) (when (term-is-variable? (term-arg-2 atom)) (unless (pn-flag para-from-vars) (return-from next nil))) (setf (paramod-lhs para-rule) (term-arg-2 atom)) (setf (paramod-rhs para-rule) (term-arg-1 atom)) (setq paras (nconc paras (para-from-alpha para-rule from-lit)))))) )) ; block next ) ; dolist ) ;; (when (or (pn-flag debug-infer) (pn-flag debug-para-from)) (with-output-msg () (princ "End[paramod-from]:"))) paras)) ;;; PARA-INTO-TERMS ;;; (defun para-into-terms (target-term into-lit &optional arg-pos) (declare (type term target-term) (type literal into-lit) (type list arg-pos) (values list)) (let ((paras nil)) (declare (type list paras)) (when (term-is-application-form? target-term) #|| (let ((pos 0)) (declare (type fixnum pos)) (dolist (sub-t (term-subterms target-term)) (setq paras (nconc paras (para-into-terms sub-t into-lit (cons pos arg-pos)))) (incf pos))) ||# (cond ((eq (term-head target-term) *fopl-eq*) (when (pn-flag para-into-left) (setq paras (nconc paras (para-into-terms (term-arg-1 target-term) into-lit ;; arg-pos ; '(0) (cons 0 arg-pos) )))) (when (pn-flag para-into-right) (setq paras (nconc paras (para-into-terms (term-arg-2 target-term) into-lit ;; arg-pos ; '(1) (cons 1 arg-pos) )))) (return-from para-into-terms paras)) ;; (t (let ((pos 0)) (declare (type fixnum pos)) (dolist (sub-t (term-subterms target-term)) (setq paras (nconc paras (para-into-terms sub-t into-lit (cons pos arg-pos)))) (incf pos)))) ) ) #|| (when (and (term-is-variable? target-term) (not (pn-flag para-into-vars))) (return-from para-into-terms nil)) ||# (when (pn-flag debug-para-into) (with-output-msg () (princ "para-into-terms: target=") (term-print target-term))) ;; (dolist (para-rule #|| (append (get-literal-entry-from-atom *paramod-rules* target-term) (if (pn-flag para-from-vars) (get-literal-entry-from-atom *paramod-rules* (term-sort target-term))) nil) ||# (is-paramod-fetch-concat target-term *paramod-rules*) ) (declare (type paramod para-rule)) (block next (when (pn-flag debug-para-into) (with-output-simple-msg () (princ "para-into: rule = ") (princ para-rule))) (let* ((lhs (paramod-lhs para-rule)) (from-lit (paramod-literal para-rule)) (in-subst nil) (paramod nil) (same nil) (obso-cl-id nil)) (declare (ignore in-subst) (type term lhs) (type literal from-lit) (type list in-subst) (type (or null clause) paramod) (ignore same) (type (or null fixnum) obso-cl-id)) #|| (when (term-eq lhs target-term) (return-from next nil)) ||# ;; *** (when (eq (literal-clause into-lit) (literal-clause from-lit)) ;; (setq same t) (multiple-value-bind (new-cl llit cl-id) (make-dummy-clause (literal-clause into-lit) into-lit) (declare (ignore new-cl) (type literal llit) (type fixnum cl-id)) (setq into-lit llit) (setq obso-cl-id cl-id) (setq target-term (literal-atom into-lit)) (when arg-pos (setq target-term (get-term-at arg-pos target-term)) )) ) ;; *** ;; (trace unify) (multiple-value-bind (new-subst no-match e-equal) (unify lhs target-term nil) (declare (ignore e-equal) (type list new-subst)) (when no-match (when obso-cl-id (delete-clause! obso-cl-id *current-psys*)) (return-from next nil)) ;; #|| (when same ;; *** (with-output-msg () (princ "HAAAAAAAAAAAAAAAAA!!!!!!") (print-next) (format t "paramod : ~a" para-rule) (print-next) (format t "into : ") (print-clause (literal-clause into-lit)) (print-next) (format t "target term : ") (term-print (literal-atom into-lit)) ) ;; (setf (pn-flag debug-para-into) t) ) ||# ;; *** (when (pn-flag debug-para-into) (with-output-msg () (format t "para-into-terms: matched p-rule = ") (pr-paramod para-rule)) ) (setq paramod (build-bin-para para-rule target-term into-lit new-subst arg-pos)) (when obso-cl-id (delete-clause! obso-cl-id *current-psys*)) (setf (clause-parents paramod) (list (list :para-into-rule (clause-id (literal-clause into-lit)) (clause-id (literal-clause from-lit))))) ;; (incf (pn-stat cl-generated)) (incf (pn-stat para-into-gen)) (let ((pre-res nil)) (setq pre-res (pre-process paramod nil :sos)) (when pre-res (setq paras (nconc paras (list paramod))))) )))) ;; ::: ;; (setf (pn-flag debug-para-into) nil) ;; (untrace unify) ;; ::: paras)) ;;; PARAMODULATION INTO ;;; - binary paramodulation into the given clause ;;; - paramodulants are given to `pre-process'. ;;; (defun paramodulation-into (clause) (declare (type clause clause) (values list)) (let ((list-para nil)) (declare (type list list-para)) (when (or (not (pn-flag para-into-units-only)) (unit-clause? clause)) ;; (when (or (pn-flag debug-infer) (pn-flag debug-para-into)) (with-output-msg () (format t "Start[paramodulation-into]: "))) ;; (dolist (into-lit (clause-literals clause)) (declare (type literal into-lit)) (block next (unless (answer-literal? into-lit) (let ((atom (literal-atom into-lit))) (setq list-para (nconc list-para (para-into-terms atom into-lit)))))))) ;; (when (or (pn-flag debug-infer) (pn-flag debug-para-into)) (with-output-msg () (format t "End[para-into]:") (print-next) (pr-clause-list list-para t))) ;; list-para )) ;;; EOF cafeobj-1.5.4/BigPink/codes/proof-sys.lisp0000644000000000000000000001250612605345045017072 0ustar rootroot;;;-*-Mode:LISP; Package: CHAOS; Base:10; Syntax:Common-lisp -*- ;;; ;;; Copyright (c) 2000-2015, Toshimi Sawada. All rights reserved. ;;; ;;; Redistribution and use in source and binary forms, with or without ;;; modification, are permitted provided that the following conditions ;;; are met: ;;; ;;; * Redistributions of source code must retain the above copyright ;;; notice, this list of conditions and the following disclaimer. ;;; ;;; * Redistributions in binary form must reproduce the above ;;; copyright notice, this list of conditions and the following ;;; disclaimer in the documentation and/or other materials ;;; provided with the distribution. ;;; ;;; THIS SOFTWARE IS PROVIDED BY THE AUTHOR 'AS IS' AND ANY EXPRESSED ;;; OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED ;;; WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ;;; ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY ;;; DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL ;;; DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE ;;; GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS ;;; INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, ;;; WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING ;;; NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS ;;; SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. ;;; ;;; (in-package :chaos) #|============================================================================= System:Chaos Module:BigPink File:proof-sys.lisp =============================================================================|# #-:chaos-debug (declaim (optimize (speed 3) (safety 0) #-GCL (debug 0))) #+:chaos-debug (declaim (optimize (speed 1) (safety 3) #-GCL (debug 3))) ;;;***************************************************************************** ;;; PROOF SYSTEM ASSOCIATED WITH MODULE ;;;***************************************************************************** ;;; extend module info (defmacro module-proof-system (_mod) `(getf (object-misc-info ,_mod) :proof-system)) (defun create-module-psystem (mod) (declare (type module mod)) (if (module-proof-system mod) (let ((psys (module-proof-system mod))) (initialize-psystem psys mod)) (setf (module-proof-system mod) (make-psystem :module mod :clause-hash (make-hash-table :test #'eql) :demodulators (make-hash-table :test #'eq))) )) (defun update-module-proof-system (mod &optional do-anyway) (declare (type module mod) (ignore do-anyway)) (let ((clear-passive nil)) (when (need-rewriting-preparation mod) (compile-module mod) (setq clear-passive t) (setq do-anyway t)) (unless (module-proof-system mod) (setq do-anyway t)) (let ((psystem (create-module-psystem mod))) (when clear-passive (setf (psystem-passive psystem) nil)) ;; reset clause counter (reset-clause-db psystem) ;; generate axioms in clause form (module-axioms->clause psystem) ;; may introduce skolem functions. (prepare-for-parsing mod) ;; psystem))) (defun reset-module-proof-system (module) (declare (type module module)) ;; setup lexical precedence of symbols. (make-op-lex-prec-table module) ;; reset db: (update-module-proof-system module t)) ;;; PN-DB-RESET ;;; (defun pn-db-reset (&optional (mod (get-context-module))) (clear-all-index-tables) (reset-module-proof-system mod)) (defun auto-db-reset (module) (compile-module module) (unless (module-proof-system module) (create-module-psystem module)) (unless (psystem-axioms (module-proof-system module)) (pn-db-reset module))) ;;; CONTEXT MAKING MACRO (defmacro with-proof-context ((_module_) &body body) (once-only (_module_) `(block with-proof-context (block with-in-module (let* ((*current-module* ,_module_) (*current-sort-order* (module-sort-order *current-module*)) (*current-opinfo-table* (module-opinfo-table *current-module*)) (*current-ext-rule-table* (module-ext-rule-table *current-module*))) (declare (special *current-module* *current-sort-order* *current-opinfo-table* *current-ext-rule-table*)) (let* ((*current-proof-system* *current-module*) (*current-psys* (module-proof-system *current-module*)) (*clause-hash* (psystem-clause-hash *current-psys*)) (*sos* (psystem-sos *current-psys*)) (*usable* (psystem-usable *current-psys*)) (*demodulators* (psystem-demodulators *current-psys*)) (*passive* (psystem-passive *current-psys*)) (*clause-given* nil) ) (declare (special *current-proof-system* *current-psys* *clause-hash* *sos* *usable* *clause-given* *passive*)) ;; ,@body) ))))) ;;; EOF cafeobj-1.5.4/BigPink/codes/refine.lisp0000644000000000000000000001676412605345045016413 0ustar rootroot;;;-*-Mode:LISP; Package: CHAOS; Base:10; Syntax:Common-lisp -*- ;;; ;;; Copyright (c) 2000-2015, Toshimi Sawada. All rights reserved. ;;; ;;; Redistribution and use in source and binary forms, with or without ;;; modification, are permitted provided that the following conditions ;;; are met: ;;; ;;; * Redistributions of source code must retain the above copyright ;;; notice, this list of conditions and the following disclaimer. ;;; ;;; * Redistributions in binary form must reproduce the above ;;; copyright notice, this list of conditions and the following ;;; disclaimer in the documentation and/or other materials ;;; provided with the distribution. ;;; ;;; THIS SOFTWARE IS PROVIDED BY THE AUTHOR 'AS IS' AND ANY EXPRESSED ;;; OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED ;;; WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ;;; ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY ;;; DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL ;;; DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE ;;; GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS ;;; INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, ;;; WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING ;;; NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS ;;; SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. ;;; ;;; (in-package :chaos) #|============================================================================= System:Chaos Module:BigPink File:refine.lisp =============================================================================|# #-:chaos-debug (declaim (optimize (speed 3) (safety 0) #-GCL (debug 0))) #+:chaos-debug (declaim (optimize (speed 1) (safety 3) #-GCL (debug 3))) ;;; ;;; ;;; REFINEMENT CHECKER ;;; (defun pn-get-image-of-axioms (view) (declare (type view-struct view)) (let* ((source (view-source view)) (target (view-target view)) (morph (convert-view-to-modmorph source view))) (declare (type module source target) (type modmorph morph)) (let ((sort-map (modmorph-sort morph)) (op-map (modmorph-op morph)) (mod-map (modmorph-module morph)) (axs nil)) (dolist (ax (get-module-axioms source)) (let ((ax-image (modmorph-recreate-axiom target sort-map op-map mod-map ax))) (push ax-image axs))) (nreverse axs))) ) (defun pn-axiom-image (ax morph target) (declare (type axiom ax) (type modmorph morph) (type module target)) (let ((sort-map (modmorph-sort morph)) (op-map (modmorph-op morph)) (mod-map (modmorph-module morph))) (modmorph-recreate-axiom target sort-map op-map mod-map ax))) (defun check-refine (view-expr) (let ((view (find-view-in-env (normalize-modexp view-expr))) (source nil) (morph nil) (target-mod nil) (ng-axs nil) (*chaos-quiet* (if (pn-flag debug-refine) nil t))) (declare (type (or null view-struct) view) (type (or null module) source target-mod) (type (or null modmorph) morph) (type list ng-axs)) (unless view (with-output-chaos-error ('no-such-view) (format t "no such view \"~a\"" view-expr))) (setq source (view-source view)) (setq morph (convert-view-to-modmorph source view)) (setq target-mod (view-target view)) ;; (when (pn-flag debug-refine) (let ((*chaos-quiet* nil)) (with-output-simple-msg () (format t "** starting refinement check with view ~a" view-expr)))) ;; (dolist (im-ax (get-module-axioms source)) (block next (let ((lhs (axiom-lhs im-ax))) (when (and (term-is-application-form? lhs) (equal (method-symbol (term-head lhs)) (method-symbol *beh-equal*))) (return-from next nil))) (when (module-proof-system *pn-refinement-check-module*) (initialize-psystem (module-proof-system *pn-refinement-check-module*) *pn-refinement-check-module*)) (initialize-module *pn-refinement-check-module*) (import-module *pn-refinement-check-module* :protecting target-mod) (import-module *pn-refinement-check-module* :protecting *fopl-sentence-module*) (compile-module *pn-refinement-check-module*) (with-in-module (*pn-refinement-check-module*) (let ((ax (pn-axiom-image im-ax morph *current-module*)) (ax-form nil) (ax-cls nil) (psys nil) (flags (save-pn-flags)) (parameters (save-pn-parameters)) (ret-code nil) (*pn-no-db-reset* t)) ;; (when (pn-flag debug-refine) (let ((*chaos-quiet* nil)) (with-output-msg () (princ "check axiom : ") (print-next) (print-axiom-brief ax)))) ;; db reset by hand (clear-all-index-tables) (reset-module-proof-system *current-module*) (setq psys (module-proof-system *current-module*)) ;; negate then convert to clause form (setq ax-form (axiom->formula ax)) (normalize-quantifiers ax-form) (setq ax-form (negate-sentence ax-form)) (setq ax-cls (formula->clause-1 ax-form psys)) (dolist (a ax-cls) (push a (psystem-axioms psys))) ;; invoke PigNose (unless (pn-flag debug-refine) (setf (pn-flag print-message) nil) (auto-change-flag quiet t) (auto-change-flag print-proofs nil)) (auto-change-flag auto t) (auto-change-flag universal-symmetry t) (setf (pn-parameter max-proofs) 1) (setq ret-code (do-resolve *current-module*)) ;; (restore-pn-flags flags) (restore-pn-parameters parameters) ;; (unless (eq ret-code :max-proofs-exit) (push im-ax ng-axs))) ))) ; done for all axioms ;; (if ng-axs (values ng-axs source target-mod) (values nil source target-mod)) )) ;;; PN-CHECK-REFINEMENT : InputArgs -> Void ;;; args ::= '(view-expr)' ;;; (defun pn-check-refinement (args) (declare (type list args)) (unless *pn-refinement-check-module* (with-output-chaos-error () (princ "prelude file fopl.mod has not been loaded yet.")) ) (let ((view-expr (car args))) (multiple-value-bind (ng? source-mod target-mod) (check-refine view-expr) (declare (ignore target-mod)) (if ng? (with-in-module (source-mod) (with-output-simple-msg () (princ "no") (dolist (ax ng?) (print-next) (print-axiom-brief ax)))) (with-output-simple-msg () (princ "yes")))) )) ;;; EOF cafeobj-1.5.4/BigPink/codes/resolve.lisp0000644000000000000000000015535012605345045016615 0ustar rootroot;;;-*-Mode:LISP; Package: CHAOS; Base:10; Syntax:Common-lisp -*- ;;; ;;; Copyright (c) 2000-2015, Toshimi Sawada. All rights reserved. ;;; ;;; Redistribution and use in source and binary forms, with or without ;;; modification, are permitted provided that the following conditions ;;; are met: ;;; ;;; * Redistributions of source code must retain the above copyright ;;; notice, this list of conditions and the following disclaimer. ;;; ;;; * Redistributions in binary form must reproduce the above ;;; copyright notice, this list of conditions and the following ;;; disclaimer in the documentation and/or other materials ;;; provided with the distribution. ;;; ;;; THIS SOFTWARE IS PROVIDED BY THE AUTHOR 'AS IS' AND ANY EXPRESSED ;;; OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED ;;; WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ;;; ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY ;;; DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL ;;; DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE ;;; GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS ;;; INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, ;;; WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING ;;; NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS ;;; SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. ;;; ;;; (in-package :chaos) #|============================================================================= System:Chaos Module:BigPink File:resolve.lisp =============================================================================|# #-:chaos-debug (declaim (optimize (speed 3) (safety 0) #-GCL (debug 0))) #+:chaos-debug (declaim (optimize (speed 1) (safety 3) #-GCL (debug 3))) ;;; *********** ;;; RESOLVERS ;;; *********** ;;; BUILD-HYPER ;;; - construct a hyper-resolvent ;;; (declaim (inline comb-clash-subst)) (defun comb-clash-subst (giv-subst clash) (declare (type list giv-subst) (type (or null clash) clash)) (if clash (let ((subst nil) (c clash)) (loop (unless c (return)) (let ((nsub (clash-subst c))) (if nsub (setq subst nsub))) (setq c (clash-next c))) (compose-subst giv-subst subst)) giv-subst)) (defun build-hyper (clash given-subst nuc-lits nucleus giv-lits giv-sat inf-id nuc-pos) (declare (ignore nuc-pos) (type (or null clash) clash) (type list given-subst) (type list nuc-lits) (type clause nucleus) (type list giv-lits) (type (or null clause) giv-sat) (type symbol inf-id)) (let ((new-literals nil) (new-clause (new-clause *current-psys*)) (history nil) (subst nil) (clashes clash)) (declare (type list new-literals) (type clause new-clause) (type list history subst) (type (or null clash) clashes)) ;; (setq subst (comb-clash-subst given-subst clash)) ;; (when (pn-flag debug-hyper-res) (format t "~%build-hyper: clash =") (prin1 clash) (print-next) (princ "givn-subst = ") (print-substitution given-subst) (print-next) (princ "cmb subst = ") (print-substitution subst) ) (when giv-sat ;; given clause is satellite (push (clause-id giv-sat) history) ) (push (clause-id nucleus) history) ;; construct literals of resolvent (dolist (lit giv-lits) (declare (type literal lit)) (let ((new-literal (shallow-copy-literal lit new-clause))) (declare (type literal new-literal)) (setf (literal-atom new-literal) (apply-subst subst (literal-atom lit))) (push new-literal new-literals))) (dolist (lit nuc-lits) (declare (type literal lit)) (let ((new-literal (shallow-copy-literal lit new-clause))) (declare (type literal new-literal)) (setf (literal-atom new-literal) (apply-subst subst (literal-atom lit))) (push new-literal new-literals))) (while clashes (if (clash-evaluable clashes) (push :eval history) (let* ((found-lit (clash-found-lit clashes)) (sat-clause (literal-clause found-lit)) ) (declare (type literal found-lit) (type clause sat-clause)) (push (clause-id sat-clause) history) (dolist (lit (clause-literals sat-clause)) (declare (type literal lit)) (unless (eq lit found-lit) (let ((new-literal (shallow-copy-literal lit new-clause))) (declare (type literal new-literal)) (setf (literal-atom new-literal) ;; clash-subst? (apply-subst subst (literal-atom lit)) ;; (apply-subst (clash-subst clashes) (literal-atom lit)) ) (push new-literal new-literals)))) (let ((junk-id (cdr (assq :dummy-clause (clause-attributes sat-clause))))) (when junk-id (delete-clause! junk-id *current-psys*)) ))) (setq clashes (clash-next clashes))) ;; (setf (clause-literals new-clause) (nreverse new-literals)) (setq history (cons inf-id (nreverse history))) (setf (clause-parents new-clause) (list history)) (when (pn-flag debug-hyper-res) (format t "~%** build-hyper: new-clause =") (print-clause new-clause)) ;; new-clause )) ;;; HYPER-CLASH! ;;; - used by hyper and UR resolution to clash away the marked literals ;;; of the given nucleus ;;; - append kept resolvents to *SOS* ;;; ;;; c-start : clash ;;; subst : substitution ;;; nuc-lits: non-clahsed literals of the nucleus. ;;; nuc : the nucleus. ;;; giv-lits: if the given clause is a satellite, these are its ;;; non-clashed literals, else NIL. ;;; sat-proc: function to identify (other) satelites: ;;; `positive-clause?' for hyper, `unit-clause?' for UR. ;;; inf-id : one of :hyper, :neg-hyper, :ur, specifying the inference type. ;;; nuc-pos : if not nil, given clause is a satelite (declaim (special _clash_so_far_) (type list _clash_so_far_)) (defvar _clash_so_far_ nil) (declaim (inline rename-subst)) (defun rename-subst (subst var-map) (declare (type list subst var-map) (values list)) (if subst (let ((res nil)) (declare (list res)) (dolist (s subst) (let ((bind (variable-image var-map (car s)))) (declare (type (or null term) bind)) (if bind (progn (push (cons (car s) bind) res) (when (term-is-variable? bind) (push (cons bind (apply-subst var-map (cdr s))) res)) ) (push (cons (car s) (apply-subst var-map (cdr s))) res)))) (setq res (nreverse res)) (dolist (vm var-map) (unless (variable-image res (car vm)) (push vm res))) res) (if var-map var-map nil))) (defun maximal-literal (l1) (declare (type literal l1) (values symbol)) (flet ((opcompare (m1 m2) (declare (type method m1 m2)) (if (method-w= m1 m2) nil (let ((p1 (method-lex-prec m1)) (p2 (method-lex-prec m2))) (declare (type fixnum p1 p2)) (if (< p1 p2) :less nil))))) ;; (let ((atom (literal-atom l1))) (declare (type term atom)) (dolist (l2 (clause-literals (literal-clause l1)) t) (declare (type literal l2)) (if (and (not (eq l1 l2)) (not (answer-literal? l2))) (if (and (positive-literal? l2) (not (positive-literal? l1))) (return nil) (if (and (eq (literal-sign l1) (literal-sign l2)) (eq :less #|| (op-lex-compare (term-head atom) (term-head (literal-atom l2))) ||# (opcompare (term-head atom) (term-head (literal-atom l2))) )) (return nil)))))) )) (declaim (inline compose-subst2)) (defun compose-subst2 (s1 s2) (declare (type list s1 s2)) (labels ((add-new (s newsl) (declare (type (or null term) s) (type list newsl)) (cond ((null s) newsl) ((variable-image newsl (caar s)) (add-new (cdr s) newsl)) (t (cons (car s) (add-new (cdr s) newsl))))) (composel (s1 s2) (cond ((null s1) nil) ;; !!! ((variable-image s2 (caar s1)) (composel (cdr s1) s2)) (t (cons (cons (caar s1) (apply-subst s2 (cdar s1))) (composel (cdr s1) s2)))))) ;; (if (car s2) (add-new s2 (composel s1 s2)) s1))) (declaim (inline cl-occurs-in-clash)) (defun cl-occurs-in-clash (clash-clause clash) (declare (type clause clash-clause) (type clash)) (let ((clh clash)) (declare (type (or null clash) clh)) (loop (setq clh (clash-prev clh)) (unless clh (return-from cl-occurs-in-clash nil)) (when (and (clash-found-lit clh) (eq (literal-clause (clash-found-lit clh)) clash-clause)) (return-from cl-occurs-in-clash t)))) nil) (defun clash-one (clash clause-pred given-subst inf-id &optional giv-sat) (declare (type clash clash) (type list given-subst) (type symbol inf-id) (type (or null clause) giv-sat)) #|| (when (pn-flag debug-hyper-res) (with-output-msg () (princ "clash-one:") (print-next) (format t "clash = ~S" clash) (print-next) (format t "clause-pred = ~s" clause-pred) (print-next) (princ "given-subst = ") (print-substitution given-subst) (print-next) (format t "giv-sat = ~s" giv-sat))) ||# (let ((clashables (if (clash-clashables clash) (cdr (clash-clashables clash)) (setf (clash-clashables clash) #|| (get-literal-entry-from-atom (clash-db clash) (literal-atom (clash-literal clash))) ||# (is-fetch-concat (literal-atom (clash-literal clash)) (clash-db clash)) ))) (atom (literal-atom (clash-literal clash))) (subst (if (clash-prev clash) (or (get-nsubst (clash-prev clash)) given-subst) ;; (or (clash-subst (clash-prev clash)) ;; given-subst) given-subst))) (declare (type list clashables) (type term atom) (type list subst)) ;; (loop (unless clashables (return nil)) (block next ;; (let* ((lit-data (car clashables)) ;; (clash-lit (literal-entry-literal lit-data)) (clash-lit lit-data) (clash-clause (literal-clause clash-lit)) (junk-cl-id nil)) (declare (type literal clash-lit) (type clause clash-clause) (type (or null fixnum) junk-cl-id)) (when (and (funcall clause-pred clash-clause) (or (not (pn-flag order-hyper)) (eq :ur-res-rule inf-id) (maximal-literal clash-lit))) (let (;; (clash-atom (literal-entry-atom clash-lit)) (clash-atom (literal-atom clash-lit)) (varmap nil) (natom atom) ;; (renamed nil) ) (declare (ignore varmap) (type term clash-atom natom)) ;; (setq atom (apply-subst subst atom)) (when (or (eq giv-sat clash-clause) (cl-occurs-in-clash clash-clause clash)) (unless (term-eq natom atom) (multiple-value-bind (dcl tlit id) (make-dummy-clause clash-clause clash-lit) (declare (type clause dcl) (type literal tlit) (type fixnum id)) (setq junk-cl-id id) (setq clash-lit tlit) (setq clash-atom (literal-atom tlit)) (setq clash-clause dcl)) )) ;; (when (pn-flag debug-hyper-res) (with-output-msg () (princ "chash-one trying unify:") (print-next) (format t "clash = ~s" (literal-clause (clash-literal clash))) (print-next) (princ "atom = ") (term-print atom) (print-next) (format t "target clause = ~s " clash-clause) (print-next) (princ "target atom = ") (term-print clash-atom) )) ;; (multiple-value-bind (new-subst no-match e-equal) (unify clash-atom atom ;; subst nil) (declare (ignore e-equal) (type list new-subst)) ;; (when no-match (when junk-cl-id (delete-clause! junk-cl-id *current-psys*)) (return-from next nil)) ;; (if new-subst (progn (setq new-subst (compose-subst subst new-subst)) ;; (setq new-subst (compose-subst2 subst new-subst)) ) (setq new-subst subst)) (when (pn-flag debug-hyper-res) (with-output-simple-msg () (princ "* clash-one success: ") (princ "nuc = ") (print-clause (literal-clause (clash-literal clash))) (print-next) (princ "nuc atom = ") (term-print atom) (print-next) (princ "target(electron) = ") (term-print clash-atom) (print-next) (format t "target cl-id = ~D" (clause-id clash-clause)) (print-next) (princ "subst = ") (print-substitution new-subst) )) ;; success! (setf (clash-subst clash) new-subst) (setf (clash-clashables clash) clashables) (setf (clash-found-lit clash) clash-lit) (return-from clash-one t)) ))) ) ; block next ;; try next clashable (setq clashables (cdr clashables)) ) ; end loop nil)) (defun get-nsubst (clashes) (if (null clashes) nil (or (clash-subst clashes) (get-nsubst (clash-prev clashes))))) (defun hyper-clash! (c-start given-subst nuc-lits nuc giv-lits giv-sat sat-proc inf-id nuc-pos) (declare (type (or null clash) c-start) (type list given-subst) (type list nuc-lits) (type (or null clause) nuc) (type list giv-lits) (type (or null clause) giv-sat) (type symbol inf-id) (type (or null fixnum) nuc-pos)) (let ((clashes nil) (list-resolvent nil) (backup nil) (c-end nil)) (declare (type (or null clash) clashes) (type list list-resolvent) (type (or null clash) c-end)) ;; (loop (if (not backup) (if (or (null c-start) (and clashes (null (clash-next clashes)))) ;; clash is complete (let ((resolvent nil)) (setq resolvent (build-hyper c-start ; clash list given-subst nuc-lits ; non-clash lits of nucleus nuc ; nucleus clause giv-lits giv-sat inf-id nuc-pos )) (case inf-id (:hyper-res-rule (incf (pn-stat hyper-res-gen))) (:neg-hyper-res-rule (incf (pn-stat neg-hyper-res-gen))) (otherwise (incf (pn-stat ur-res-gen)))) (incf (pn-stat cl-generated)) ;; pre-process the hyper-resolvent (when (pre-process resolvent nil :sos) (push resolvent list-resolvent)) ;; (setq backup t) (setq c-end clashes) ; the last success clash (setq clashes nil) ) ;; else (progn (if (null clashes) ; just starting (setq clashes c-start) ;; try next clash (setq clashes (clash-next clashes))) (when (clash-evaluable clashes) ;; (setf (clash-subst clashes) nil) (let* ((lit (clash-literal clashes)) (atom (literal-atom lit)) (subst (get-nsubst clashes)) (inst nil)) ;; (setf (clash-subst clashes) subst) (unless subst (setq subst given-subst)) (setq inst (demod-atom (apply-subst subst atom))) (if (positive-literal? lit) (setf (clash-evaluation clashes) (is-false? inst)) (setf (clash-evaluation clashes) (is-true? inst))) (setf (clash-already-evaluated clashes) nil))) ;; initialize clashsable list (setf (clash-clashables clashes) nil))) ;; ;; else backup ;; (if (or (null c-start) (and clashes (null (clash-prev clashes)))) ;; done with this nucleus (return-from hyper-clash! list-resolvent) ;; else (progn (if (null clashes) (progn (setq clashes c-end) ; restart from the ; last successed clash ) ;; else ;; back track to previous one. (progn (setf (clash-clashables clashes) nil) (setq clashes (clash-prev clashes)))) ;; try again (unless (clash-evaluable clashes) (setf (clash-subst clashes) nil)) (setq backup nil)))) ;; (unless backup (if (clash-evaluable clashes) (if (or (clash-already-evaluated clashes) (not (clash-evaluation clashes))) (setq backup t) ;; set flag and proceed (setf (clash-already-evaluated clashes) t)) (unless (clash-one clashes sat-proc given-subst inf-id giv-sat) (setq backup t)))) ) ; loop end ;; done list-resolvent)) ;;; (positive) HYPER RESOLUTION ;;; ;;; - append kept resolvents to *SOS* ;;; - each kept clause has already passed to the pre-process filter ;;; (forward subsumption, etc.), inserted into appropriate indexes. ;;; (defun hyper-resolution (clause) (declare (type clause clause)) (when (= (the fixnum (num-literals clause)) 0) (return-from hyper-resolution nil)) ;; (let ((resolvent-list nil) (given-literals nil) (clash-start nil) (last-clash nil) (nuc-literals nil) (nuc-pos 0)) (declare (type list resolvent-list) (type list given-literals) (type (or null clash) clash-start) (type (or null clash) last-clash) (type list nuc-literals) (type fixnum nuc-pos)) (when (pn-flag debug-hyper-res) (with-output-simple-msg () (princ "Start[hyper-resolution]:") (print-next) (print-clause clause))) (cond ((not (positive-clause? clause)) ;; given clause is nucleus,i.e, contains at least one ;; negative literal (setq clash-start nil last-clash nil nuc-literals nil) (dolist (lit (clause-literals clause)) (cond ((or (positive-literal? lit) (answer-literal? lit)) (push lit nuc-literals)) ;; (t (let ((new-clash (make-clash :literal lit :db *clash-pos-literals*))) (declare (type clash new-clash)) (if (null clash-start) (setq clash-start new-clash) (progn (setf (clash-prev new-clash) last-clash) (setf (clash-next last-clash) new-clash))) (when (method-is-meta-demod (term-head (literal-atom lit))) (setf (clash-evaluable new-clash) t)) (setq last-clash new-clash))))) ;; (let ((res (hyper-clash! clash-start nil ; subst nuc-literals clause nil nil #'positive-clause? :hyper-res-rule nil))) (when res (setq resolvent-list (nconc res resolvent-list))))) ;; (t ;; ;; given clause is a satellite. ;; (dolist (l3 (clause-literals clause)) (declare (type literal l3)) (when (or (not (pn-flag order-hyper)) (maximal-literal l3)) (setq given-literals nil) (dolist (lit (clause-literals clause)) (declare (type literal lit)) (unless (eq l3 lit) (push lit given-literals))) (let ((clashables ;; (get-literal-entry-from-atom *clash-neg-literals* ;; (literal-atom l3)) (is-fetch-concat (literal-atom l3) *clash-neg-literals*) ) ) (dolist (lit-data clashables) (block next (let* (;; (nuc-lit (literal-entry-literal lit-data)) (nuc-lit lit-data) (nuc (literal-clause (the literal nuc-lit)))) (when (not (positive-clause? nuc)) (multiple-value-bind (new-subst no-match e-equal) (unify (literal-atom l3) (literal-atom nuc-lit) nil) (declare (ignore e-equal) (type list new-subst)) ;; (when no-match (return-from next)) ; try next ;; found a nucleus (setq nuc-literals nil) (setq clash-start nil last-clash nil) (let ((i 0)) (declare (type fixnum i)) (dolist (lit (clause-literals nuc)) (declare (type literal lit)) (cond ((eq nuc-lit lit) (setq nuc-pos i)) ((or (positive-literal? lit) (answer-literal? lit)) (push lit nuc-literals)) (t ;; negative literal, put into clash structure (let ((new-clash (make-clash :literal lit :db *clash-pos-literals*))) (declare (type clash new-clash)) (if (null clash-start) (setq clash-start new-clash) (progn (setf (clash-prev new-clash) last-clash) (setf (clash-next last-clash) new-clash))) (when (method-is-meta-demod (term-head (literal-atom lit))) (setf (clash-evaluable new-clash) t)) (setq last-clash new-clash)))))) ;; (let ((res (hyper-clash! clash-start new-subst nuc-literals nuc given-literals clause #'positive-clause? :hyper-res-rule nuc-pos))) (when res (setq resolvent-list (nconc res resolvent-list))) ))))) ; block next )) ; done for all possible clash ) ) ; done for all literals ) ) ;; done (when (pn-flag debug-hyper-res) (with-output-simple-msg () (princ "End[hyper-res]") (print-next) (pr-clause-list resolvent-list))) ;; (nreverse resolvent-list) )) ;;; NEGATIVE HYPER RESOLUTION ;;; neg-hyper-resolution ;;; -- append kept resolvents to *SOS* ;;; -- each kept clause has already passed the pre-process filter ;;; (forward subsumtion, etc.), been integrated and inserted into ;;; appropriate indexes. ;;; (defun neg-hyper-resolution (clause) (declare (type clause clause)) (when (= (the fixnum (num-literals clause)) 0) (return-from neg-hyper-resolution nil)) ;; (let ((resolvent-list nil) (given-literals nil) (clash-start nil) (last-clash nil) (nuc-literals nil) (nuc-pos 0)) (declare (type list resolvent-list) (type list given-literals) (type (or null clash) clash-start) (type (or null clash) last-clash) (type list nuc-literals) (type fixnum nuc-pos)) (when (pn-flag debug-hyper-res) (with-output-simple-msg () (princ "Start[neg-hyper-resolution]:") (print-next) (print-clause clause))) (cond ((not (negative-clause? clause)) ; given clause is nucleus ;; given clause is nucleus,i.e, contains at least one ;; positive literal (setq clash-start nil last-clash nil nuc-literals nil) (dolist (lit (clause-literals clause)) (declare (type literal lit)) (cond ((or (negative-literal? lit) (answer-literal? lit)) (push lit nuc-literals)) ;; put positive literal into clash structure (t (let ((new-clash (make-clash :literal lit :db *clash-neg-literals*))) (declare (type clash new-clash)) (if (null clash-start) (setq clash-start new-clash) (progn (setf (clash-prev new-clash) last-clash) (setf (clash-next last-clash) new-clash))) (when (method-is-meta-demod (term-head (literal-atom lit))) (setf (clash-evaluable new-clash) t)) (setq last-clash new-clash))))) ;; (let ((res (hyper-clash! clash-start nil ; subst nuc-literals clause nil nil #'negative-clause? :neg-hyper-res-rule nil))) (when res (setq resolvent-list (nconc res resolvent-list))))) ;; ;; given clause is a sattelite. ;; (t (dolist (l3 (clause-literals clause)) (declare (type literal l3)) (when (or (not (pn-flag order-hyper)) (maximal-literal l3)) (setq given-literals nil) (dolist (lit (clause-literals clause)) (declare (type literal lit)) (unless (eq l3 lit) (push lit given-literals))) (let ((clashables ;; (get-literal-entry-from-atom *clash-pos-literals* ;; (literal-atom l3)) (is-fetch-concat (literal-atom l3) *clash-pos-literals*) ) ) (dolist (lit-data clashables) (block next (let* (;; (nuc-lit (literal-entry-literal lit-data)) (nuc-lit lit-data) (nuc (literal-clause (the literal nuc-lit)))) (when (not (negative-clause? nuc)) (multiple-value-bind (new-subst no-match e-equal) (unify (literal-atom l3) (literal-atom nuc-lit) nil) (declare (ignore e-equal) (type list new-subst)) ;; (when no-match (return-from next)) ; try next ;; found a nucleus (setq nuc-literals nil) (setq clash-start nil last-clash nil) (let ((i 0)) (declare (type fixnum i)) (dolist (lit (clause-literals nuc)) (declare (type literal lit)) (cond ((eq nuc-lit lit) (setq nuc-pos i)) ((or (negative-literal? lit) (answer-literal? lit)) (push lit nuc-literals)) (t ;; pos literal, put into clash structure (let ((new-clash (make-clash :literal lit :db *clash-neg-literals*))) (declare (type clash new-clash)) (if (null clash-start) (setq clash-start new-clash) (progn (setf (clash-prev new-clash) last-clash) (setf (clash-next last-clash) new-clash))) (when (method-is-meta-demod (term-head (literal-atom lit))) (setf (clash-evaluable new-clash) t)) (setq last-clash new-clash)))))) ;; (let ((res (hyper-clash! clash-start new-subst nuc-literals nuc given-literals clause #'negative-clause? :neg-hyper-res-rule nuc-pos))) (when res (setq resolvent-list (nconc res resolvent-list))) ))))) ; block next )) ; done for all possible clash ) ) ; done for all literals ) ) ;; done (when (pn-flag debug-hyper-res) (with-output-simple-msg () (princ "End[neg-hyper-res]") (print-next) (pr-clause-list resolvent-list))) ;; (nreverse resolvent-list) )) ;;; UNIT RESULTING RESOLUTION ;;; ur-resolution ;;; - append kept resolvents to *SOS* ;;; - each kept clause has already passed the pre-process filter ;;; (forward subsumption, etc.), been itegrated, and inserted into ;;; appropreate indexes. ;;; (defun ur-resolution (clause) (let ((num-lits 0) (resolvent-list nil) (given-literals nil) (clash-start nil) (last-clash nil) (nuc-literals nil) (nuc-pos 0)) (setq num-lits (num-literals clause)) (when (= 0 num-lits) (return-from ur-resolution nil)) (cond ((> num-lits 1) ; given clause is nucleus (setq clash-start nil ; i.e., non-unit clause last-clash nil nuc-literals nil) (dolist (lit (clause-literals clause)) (declare (type literal lit)) (cond ((answer-literal? lit) (push lit nuc-literals)))) ;; setup nlits - 1 empty clash nodes (dotimes (x (1- num-lits)) (let ((new-clash (make-clash))) (if (null clash-start) (setq clash-start new-clash) (progn (setf (clash-prev new-clash) last-clash) (setf (clash-next last-clash) new-clash))) (setq last-clash new-clash))) (dolist (box (clause-literals clause)) (unless (answer-literal? box) (push box nuc-literals) (let ((c1 clash-start)) (dolist (lit (clause-literals clause)) (when (and (not (eq lit box)) (not (answer-literal? lit))) (setf (clash-literal c1) lit) (setf (clash-db c1) (if (positive-literal? lit) *clash-neg-literals* *clash-pos-literals*)) (setq c1 (clash-next c1)))) (when c1 (with-output-panic-message () (princ "ur-res: too many clash nodes (nuc)."))) (let ((res (hyper-clash! clash-start nil ; subst nuc-literals clause nil nil #'unit-clause? :ur-res-rule nil))) (when res (setq resolvent-list (nconc res resolvent-list)))) (pop nuc-literals)))) ) ; end of case nucleus ;; (t ; given clause is satellite (unit). ;; collect any answer literal from given satellite ;; and get clashable literal (l3). (let ((l3 nil)) (dolist (lit (clause-literals clause)) (if (not (answer-literal? lit)) (setq l3 lit) ; the only non-answer literal (progn (push lit given-literals)))) (let ((clashables #|| (get-literal-entry-from-atom (if (positive-literal? l3) *clash-neg-literals* *clash-pos-literals*) (literal-atom l3)) ||# (is-fetch-concat (literal-atom l3) (if (positive-literal? l3) *clash-neg-literals* *clash-pos-literals*)) )) (dolist (lit-data clashables) (block next (let* (;; (nuc-lit (literal-entry-literal lit-data)) (nuc-lit lit-data) (nuc (literal-clause nuc-lit)) (nlits (num-literals nuc)) (new-subst nil) (no-match nil) (e-equal nil)) (declare (ignore e-equal)) (when (> nlits 1) (multiple-value-setq (new-subst no-match e-equal) (unify (literal-atom l3) (literal-atom nuc-lit) nil)) (when no-match (return-from next)) ; try next ;; found a nucleus (setq nuc-literals nil) (setq clash-start nil last-clash nil) ;; put answer literal into nuc-literals (dolist (lit (clause-literals nuc)) (when (answer-literal? lit) (push lit nuc-literals))) ;; build clash structure for this nucleus ;; nlits - 2 empty clash nodes (dotimes (x (- nlits 2)) (let ((new-clash (make-clash))) (if (null clash-start) (setq clash-start new-clash) (progn (setf (clash-prev new-clash) last-clash) (setf (clash-next last-clash) new-clash))) (setq last-clash new-clash)) ) (dolist (box (clause-literals nuc)) (let ((j 1) (c1 nil)) ;; if not clashed or answer literal (when (and (not (eq box nuc-lit)) (not (answer-literal? box))) (setq c1 clash-start) (push box nuc-literals) (dolist (lit (clause-literals nuc)) (when (and (not (eq lit box)) (not (eq lit nuc-lit)) (not (answer-literal? lit))) (setf (clash-literal c1) lit) (setf (clash-db c1) (if (positive-literal? lit) *clash-neg-literals* *clash-pos-literals*)) (setq c1 (clash-next c1)) (incf j)) (when (eq lit nuc-lit) (setq nuc-pos j)) ) (unless (null c1) (princ c1) (break "aho!") (with-output-panic-message () (princ "ur-res: too many clash nodes (sat)."))) (let ((res (hyper-clash! clash-start new-subst nuc-literals nuc given-literals clause #'unit-clause? :ur-res nuc-pos)) ) (when res (setq resolvent-list (nconc res resolvent-list))) ;; (pop nuc-literals))))) ))) ; block next )) ; done for all possible clash ) ; end case of satelite )) (nreverse resolvent-list) )) ;;; BUILD-BIN-RES : Literal1 Literal2 Subst -> Clause ;;; - construct a binary resolvent. ;;; - Literal1 and Literal2 are the clashed literals, and Subst ;;; is a respective unifying substitutions. ;;; (defun build-bin-res (l1 l2 subst &optional prop) (declare (type literal l1 l2) (type list subst)) (let ((new-literals nil) (new-clause (new-clause *current-psys*))) (declare (type list new-literals) (type clause new-clause)) (flet ((make-bin-res (literal) (declare (type literal literal)) (dolist (lit (clause-literals (literal-clause literal))) (declare (type literal lit)) (let ((new-literal nil)) (declare (type (or null literal) new-literal)) (unless (eq literal lit) (setq new-literal (shallow-copy-literal lit new-clause)) (setf (literal-atom new-literal) (apply-subst subst (literal-atom lit))) (push new-literal new-literals)))) )) (make-bin-res l1) (make-bin-res l2) (setf (clause-literals new-clause) new-literals) (setf (clause-parents new-clause) (list (list (if prop :pbinary-res-rule :binary-res-rule) (clause-id (literal-clause l1)) (clause-id (literal-clause l2))))) new-clause ))) ;;; BINARY RESOLUTION ;;; binary-resolution ;;; (defun binary-resolution (clause &optional prop-res?) (declare (type clause clause) (values list)) (when (pn-flag debug-binary-res) (with-output-msg () (princ "Start[binary-res]:") (print-next) (print-clause clause))) (let ((resolvent-list nil)) (declare (type list resolvent-list)) (dolist (lit (clause-literals clause)) (declare (type literal lit)) (block next (when prop-res? (unless (propositional-literal? lit) (return-from next nil))) (cond ((answer-literal? lit) ;; answer literal -- not yet ) (t (let ((atom (literal-atom lit)) (db (if (positive-literal? lit) ;; positive *clash-neg-literals* ;; negative *clash-pos-literals*))) (declare (type term atom) (type hash-table db)) (let (;; (clashes (get-literal-entry-from-atom db atom)) (clashes (is-fetch-concat atom db)) (resolvent nil) (in-subst nil)) (dolist (lit-data clashes) (declare (type literal lit-data)) (let (;; (clash-atom (literal-entry-atom lit-data)) (clash-atom (literal-atom lit-data)) ) (multiple-value-bind (new-subst no-match e-equal) (if prop-res? (prop-unify atom clash-atom) (unify atom clash-atom in-subst)) (declare (ignore e-equal) (type list new-subst)) (unless no-match (when (pn-flag debug-binary-res) (with-output-simple-msg () (format t "** binary-res:(prop-res = ~a )" (if prop-res? t nil)) (print-next) (princ "atom = ") (term-print atom) (print-next) (format t "clash = ") (print-clause (literal-clause ;; (literal-entry-literal lit-data) lit-data )) (print-next) (princ "subst = ") (print-substitution new-subst) )) ;; (setq resolvent (build-bin-res lit ;; (literal-entry-literal lit-data) lit-data new-subst prop-res?)) ;; (setq in-subst new-subst) (incf (pn-stat cl-generated)) (incf (pn-stat binary-res-gen)) #|| NOT YET (when (heat-is-on) (setf (clause-heat-level resolvent) (1+ (clause-heat-level clause)))) ||# (let ((pre-res nil)) (setq pre-res (pre-process resolvent nil :sos)) (when pre-res (push resolvent resolvent-list))) )))) )))) ) ; block next ) ; end do ;; (when (pn-flag debug-binary-res) (with-output-msg () (princ "End[binary-res]") (dolist (x (reverse resolvent-list)) (print-next) (print-clause x)) )) ;; (nreverse resolvent-list))) ;;; ========= ;;; FACTORING ;;; ========= (defstruct (factor) (clause nil :type (or null clause)) (l1p nil :type list) (l2p nil :type list)) ;;; FIRST-FACTOR (clause) ;;; (defun next-factor (f-struct) (declare (type factor f-struct)) (let ((factored nil) (a-factor nil) (subst nil) (no-match nil) (e-eq nil)) (declare (type (or null clause) a-factor) (type list subst) (ignore e-eq)) (setq factored (block found (do ((l1 (car (factor-l1p f-struct)) (car (factor-l1p f-struct)))) ((null l1) (return-from found nil)) (declare (type (or null literal) l1)) (setf (factor-l2p f-struct) (cdr (factor-l2p f-struct))) (do ((l2 (car (factor-l2p f-struct)) (car (factor-l2p f-struct)))) ((null l2)) (declare (type (or null literal) l2)) (if (eq (literal-sign l1) (literal-sign l2)) (progn (multiple-value-setq (subst no-match e-eq) (unify (literal-atom l1) (literal-atom l2) nil)) (if no-match (setf (factor-l2p f-struct) (cdr (factor-l2p f-struct))) ;; found a factor (return-from found t))) (setf (factor-l2p f-struct) (cdr (factor-l2p f-struct))))) ;; (setf (factor-l1p f-struct) (cdr (factor-l1p f-struct))) (setf (factor-l2p f-struct) (factor-l1p f-struct))) ;; failed nil )) ;; (when factored (let* ((lit2 (car (factor-l2p f-struct))) ; clause to be excluded (clause (factor-clause f-struct)) ;;(new-vars-list (make-var-mapping (clause-variables clause))) ) (declare (type literal lit2) (type clause clause)) (setq a-factor (cl-unique-variables (copy-clause (make-clause-shallow-copy clause (list lit2)) *current-psys* #'(lambda (lit) (declare (type literal lit)) (let ((new-lit (copy-literal lit nil ;; new-vars-list nil subst))) (declare (type literal new-lit)) (when (test-bit (literal-stat-bits lit) oriented-eq-bit) (set-bit (literal-stat-bits new-lit) oriented-eq-bit)) new-lit)) ))) )) ;; (when (pn-flag debug-infer) (when a-factor (with-output-simple-msg () (princ "*FACTOR: ") (print-clause a-factor)))) ;; a-factor)) ;;; GET-FACTORS : Clause -> List[Clause] ;;; generate factors from Clause ;;; (defun get-factors (clause) (declare (type clause clause)) (let ((factors nil)) (declare (type list factors)) (do* ((lits (clause-literals clause) (cdr lits)) (lit1 (car lits) (car lits))) ((null (cdr lits))) (declare (type list lits) (type literal lit1)) (dolist (lit2 (cdr lits)) (declare (type literal lit2)) (when (eq (literal-sign lit1) (literal-sign lit2)) (multiple-value-bind (subst no-match e-eq) (unify (literal-atom lit1) (literal-atom lit2)) (declare (ignore e-eq) (type list subst)) (unless no-match (let ((a-factor (make-clause-shallow-copy clause (list lit2))) ;; (new-vars-list (make-var-mapping (clause-variables clause))) ) (declare (type clause a-factor)) (setq a-factor (copy-clause a-factor *current-psys* #'(lambda (lit) (let ((new-lit (copy-literal lit nil nil subst))) (when (test-bit (literal-stat-bits lit) oriented-eq-bit) (set-bit (literal-stat-bits new-lit) oriented-eq-bit)) new-lit)) )) (push (cl-unique-variables a-factor) factors))))))) (nreverse factors))) ;;; ALL-FACTORS ;;; generate and pre-process all binary factors clause. ;;; (defun all-factors (clause list) (declare (type clause clause) (type symbol list)) (let ((factors (get-factors clause))) (declare (type list factors)) (dolist (a-factor factors) (declare (type clause a-factor)) (setf (clause-parents a-factor) (list (list :factor-rule (clause-id clause)))) (incf (pn-stat cl-generated)) (incf (pn-stat factor-gen)) (pre-process a-factor nil list)) )) ;;; FACTOR-SIMPLIFY : Clause -> fixnum ;;; (defun factor-simplify (clause) (declare (type clause clause) (values (or null fixnum))) (let ((f-struct (make-factor :clause clause :l1p (clause-literals clause) :l2p (clause-literals clause))) (num 0) (a-factor nil) ) (declare (type fixnum num) (type factor f-struct) (type (or null clause) a-factor)) (setq a-factor (next-factor f-struct)) (loop (unless a-factor (return)) (if (subsume? a-factor clause) (let ((f-lits (clause-literals a-factor)) (c-lits (clause-literals clause))) (declare (type list f-lits c-lits)) (incf num) ;; swap literals (setf (clause-literals a-factor) c-lits) (setf (clause-literals clause) f-lits) (dolist (l (clause-literals a-factor)) (setf (literal-clause l) a-factor)) (dolist (l (clause-literals clause)) (setf (literal-clause l) clause)) #|| (setf (clause-parents clause) (nconc (clause-parents clause) (list (list :factor-simp-rule (clause-id a-factor))))) ||# (setf (clause-parents clause) (nconc (clause-parents clause) (list (list :factor-simp-rule)))) ;; (delete-clause a-factor *current-psys*) ;; (setf (factor-l1p f-struct) (clause-literals clause) (factor-l2p f-struct) (clause-literals clause)) (setq a-factor (next-factor f-struct)) ) ;; cl_del_non(factor) (progn (delete-clause a-factor *current-psys*) (setq a-factor (next-factor f-struct))) )) ;; num )) ;;; EOF cafeobj-1.5.4/BigPink/codes/sigmatch.lisp0000644000000000000000000002351612605345045016733 0ustar rootroot;;;-*-Mode:LISP; Package: CHAOS; Base:10; Syntax:Common-lisp -*- ;;; ;;; Copyright (c) 2000-2015, Toshimi Sawada. All rights reserved. ;;; ;;; Redistribution and use in source and binary forms, with or without ;;; modification, are permitted provided that the following conditions ;;; are met: ;;; ;;; * Redistributions of source code must retain the above copyright ;;; notice, this list of conditions and the following disclaimer. ;;; ;;; * Redistributions in binary form must reproduce the above ;;; copyright notice, this list of conditions and the following ;;; disclaimer in the documentation and/or other materials ;;; provided with the distribution. ;;; ;;; THIS SOFTWARE IS PROVIDED BY THE AUTHOR 'AS IS' AND ANY EXPRESSED ;;; OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED ;;; WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ;;; ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY ;;; DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL ;;; DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE ;;; GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS ;;; INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, ;;; WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING ;;; NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS ;;; SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. ;;; ;;; (in-package :chaos) #|============================================================================= System:Chaos Module:BigPink File:sigmatch.lisp =============================================================================|# #-:chaos-debug (declaim (optimize (speed 3) (safety 0) #-GCL (debug 0))) #+:chaos-debug (declaim (optimize (speed 1) (safety 3) #-GCL (debug 3))) ;;; ;;; SIGNATURE MATCHER ;;; NOTE: This matcher is NOT generic one. It is specialized for ;;; matching between behavioural specs: ;;; assumes that data types (visible sorts) are fixed ;;; except parameterized sorts. ;;; (declaim (type fixnum .sigmatch-view-num.)) (defvar .sigmatch-view-num. 0) (defun make-sigmatch-view-name () (declare (values simple-string)) (format nil "V#~d" (incf .sigmatch-view-num.))) (defun reset-sigmatch-view-name () (declare (values fixnum)) (setq .sigmatch-view-num. 0)) ;;; (defstruct (sigmatch-set) (module nil :type (or null module)) (sort nil :type (or null sort*)) (methods nil :type list) (attributes nil :type list) (consts nil :type list) (ops nil :type list) ) (defun sigmatch-set-all-ops (sst) (declare (type sigmatch-set sst) (values list)) (let ((ops nil)) (dolist (m (sigmatch-set-methods sst)) (push m ops)) (dolist (m (sigmatch-set-attributes sst)) (push m ops)) (dolist (m (sigmatch-set-consts sst)) (push m ops)) (dolist (m (sigmatch-set-ops sst)) (push m ops)) ops)) (defun create-sigmatch-set (module) (declare (type module module) (values list)) (with-in-module (module) (let ((sorts (module-all-sorts module)) (attributes (module-beh-attributes module)) (hidden-objects nil)) (declare (type list sorts attributes hidden-objects)) (dolist (s sorts) (declare (type sort* s)) (when (and (sort-is-hidden s) (not (or (sort= s *huniversal-sort*) (sort= s *hbottom-sort*)))) (push (make-sigmatch-set :sort s :module module) hidden-objects))) ;; (dolist (ho hidden-objects) (let* ((hsort (sigmatch-set-sort ho)) (ms (get-all-methods-of-sort hsort module))) (declare (type sort* hsort) (type list ms)) (dolist (m ms) (declare (type method m)) (if (method-is-behavioural m) (push m (sigmatch-set-methods ho)) (if (and (method-arity m) (memq hsort (method-arity m))) (push m (sigmatch-set-ops ho)) (push m (sigmatch-set-consts ho))))) (dolist (atr attributes) (declare (type method atr)) (when (memq hsort (method-arity atr)) (push atr (sigmatch-set-attributes ho)))) )) ;; hidden-objects ))) (defun sigmatch (mod1 mod2) (declare (type module mod1 mod2)) (let* ((ss1 (create-sigmatch-set mod1)) (ss2 (create-sigmatch-set mod2)) ;; (oal nil) (views nil)) (dolist (s1 ss1) (declare (type sigmatch-set s1)) (dolist (s2 ss2) (declare (type sigmatch-set s2)) (block next (catch 'fail (let ((sal (list (cons (sigmatch-set-sort s1) (sigmatch-set-sort s2)))) (sop1 (sigmatch-set-all-ops s1)) (sop2 (sigmatch-set-all-ops s2)) (omap nil) (ov nil)) ;; (declare (type list sal sop1 sop2 omap ov)) (when (setq omap (sigmatch-op sop1 sop2 sal)) (dolist (om omap) (when (setq ov (generate-sigmatch-view mod1 mod2 sal om)) (push ov views)))))) ))) views)) (defun sigmatch-op (ms1 ms2 sal) (flet ((sort-arity (arity) (sort arity #'(lambda (x y) (string< (string (sort-name x)) (string (sort-name y)))))) (sort-list-equal (sl1 sl2) (or (equal sl1 sl2) (do ((sl-1 sl1 (cdr sl-1)) (sl-2 sl2 (cdr sl-2))) ((or (null sl-1) (null sl-2)) (and (null sl-1) (null sl-2))) (unless (eq (sort-name (car sl-1)) (sort-name (car sl-2))) (return-from sort-list-equal nil))) )) (sort-equal (s1 s2) (or (eq s1 s2) (eq (sort-name s1) (sort-name s2)))) ) ;; (let ((rm nil) (om nil)) (dolist (m1 ms1) (let ((found nil)) (dolist (m2 ms2) (let ((mp nil)) (setq mp (cons m1 m2)) (unless (member mp rm :test #'equal) (let ((ar1 nil) (ar2 (sort-arity (copy-list (method-arity m2)))) (co1 (or (cdr (assq (method-coarity m1) sal)) (method-coarity m1))) (co2 (method-coarity m2)) ) (dolist (s (method-arity m1)) (push (or (cdr (assq s sal)) s) ar1)) (setq ar1 (sort-arity ar1)) #|| (with-output-msg () (print-chaos-object mp) (format t "~% ar1 = ~s" ar1) (format t "~% ar2 = ~s" ar2) (format t "~% co1 = ~s" co1) (format t "~% co2 = ~s" co2)) ||# (when (and (sort-list-equal ar1 ar2) (sort-equal co1 co2)) (setq found t) (push mp rm) (push mp om) (return nil)))))) ;; (unless found (throw 'fail :not-found)) )) (list om)))) (defun make-sigmatch-op-pat (meth mod &optional vm sal) (flet ((find-match-var (sort) (find-if #'(lambda (x) (let ((tsort (or (car (rassoc sort sal)) sort))) (eq (sort-name tsort) (sort-name (variable-sort x))))) vm)) ) (with-in-module (mod) (let ((vars nil)) (setq vars (mapcar #'(lambda (x) (let ((var (find-match-var x)) (vn nil)) (if var (if (sort= (variable-sort var) x) var (make-variable-term x (variable-name var) (variable-name var))) (progn (setq vn (gensym "_sm")) (make-variable-term x vn vn))))) (method-arity meth))) (make-term-with-sort-check meth vars))))) (defun generate-sigmatch-view (mod1 mod2 sal oal) (let ((smap nil) (omap nil) (bomap nil) (map nil) (view nil)) (dolist (sm sal) (push (list (sort-name (car sm)) (sort-name (cdr sm))) smap)) (dolist (om oal) (let ((m1 nil) (vm1 nil) (m2 nil)) (setq m1 (make-sigmatch-op-pat (car om) mod1)) (setq vm1 (term-variables m1)) (setq m2 (make-sigmatch-op-pat (cdr om) mod2 vm1 sal)) #|| (setq m1 (method-symbol (car om))) (setq m2 (method-symbol (cdr om))) ||# (if (method-is-behavioural (car om)) (push (list m1 m2) bomap) (push (list m1 m2) omap)))) (when smap (push (list '%ren-hsort smap) map)) (when bomap (push (list '%ren-bop bomap) map)) (when omap (push (list '%ren-op omap) map)) (setq view (create-view mod1 mod2 map nil)) ;; name the view (let ((vn (make-sigmatch-view-name))) (setf (view-name view) vn) (add-depend-relation view :view (view-src view)) (add-depend-relation view :view (view-target view)) (add-view-defn vn view) (mark-view-as-consistent view) vn))) ;;; EoF cafeobj-1.5.4/BigPink/codes/syntax.lisp0000644000000000000000000003746412605345045016471 0ustar rootroot;;;-*-Mode:LISP; Package: CHAOS; Base:10; Syntax:Common-lisp -*- ;;; ;;; Copyright (c) 2000-2015, Toshimi Sawada. All rights reserved. ;;; ;;; Redistribution and use in source and binary forms, with or without ;;; modification, are permitted provided that the following conditions ;;; are met: ;;; ;;; * Redistributions of source code must retain the above copyright ;;; notice, this list of conditions and the following disclaimer. ;;; ;;; * Redistributions in binary form must reproduce the above ;;; copyright notice, this list of conditions and the following ;;; disclaimer in the documentation and/or other materials ;;; provided with the distribution. ;;; ;;; THIS SOFTWARE IS PROVIDED BY THE AUTHOR 'AS IS' AND ANY EXPRESSED ;;; OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED ;;; WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ;;; ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY ;;; DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL ;;; DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE ;;; GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS ;;; INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, ;;; WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING ;;; NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS ;;; SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. ;;; ;;; (in-package :chaos) #|============================================================================= System:Chaos Module:BigPink File:syntax.lisp =============================================================================|# #-:chaos-debug (declaim (optimize (speed 3) (safety 0) #-GCL (debug 0))) #+:chaos-debug (declaim (optimize (speed 1) (safety 3) #-GCL (debug 3))) ;;; ;;; INSTALL-FOPL-SENTENCE ;;; (defun install-fopl-sentence (mod-name &key (sentence-sort "FoplSentence") (vardecl-sort "VarDeclList") (var-decl-list '("_" "," "_")) (forall '("\\A" "[" "_" "]" "_")) (exists '("\\E" "[" "_" "]" "_")) (and '("_" "&" "_")) (or '("_" "|" "_")) (imply '("_" "->" "_")) (iff '("_" "<->" "_")) (not '("~" "_")) (eq nil) (beq nil)) (let ((fopl-sentence-module (eval-modexp mod-name))) (cond ((and fopl-sentence-module (not (modexp-is-error fopl-sentence-module))) (setq *fopl-sentence-module* fopl-sentence-module) (setf (module-type *fopl-sentence-module*) :system) ;; setup sorts (let ((fopl-sentence-sort (find-sort-in fopl-sentence-module sentence-sort)) (var-decl-list-sort (find-sort-in fopl-sentence-module vardecl-sort))) (if fopl-sentence-sort (setq *fopl-sentence-sort* fopl-sentence-sort) (with-output-panic-message () (princ "could not find sort FoplSentence"))) (if var-decl-list-sort (setq *var-decl-list-sort* var-decl-list-sort) (with-output-panic-message () (princ "could not find sort VarDeclList"))) ) ;; set up operators (let ((var-decl-list (find-method-in fopl-sentence-module var-decl-list (list *cosmos* *cosmos*) *var-decl-list-sort*)) (fopl-forall (find-method-in fopl-sentence-module forall (list *cosmos* *fopl-sentence-sort*) *fopl-sentence-sort*)) (fopl-exists (find-method-in fopl-sentence-module exists (list *cosmos* *fopl-sentence-sort*) *fopl-sentence-sort*)) (fopl-and (find-method-in fopl-sentence-module and (list *fopl-sentence-sort* *fopl-sentence-sort*) *fopl-sentence-sort*)) (fopl-or (find-method-in fopl-sentence-module or (list *fopl-sentence-sort* *fopl-sentence-sort*) *fopl-sentence-sort*)) (fopl-imply (find-method-in fopl-sentence-module imply (list *fopl-sentence-sort* *fopl-sentence-sort*) *fopl-sentence-sort*)) (fopl-iff (find-method-in fopl-sentence-module iff (list *fopl-sentence-sort* *fopl-sentence-sort*) *fopl-sentence-sort*)) (fopl-neg (find-method-in fopl-sentence-module not (list *fopl-sentence-sort*) *fopl-sentence-sort*)) (fopl-eq (if eq (find-method-in fopl-sentence-module eq (list *cosmos* *cosmos*) *fopl-sentence-sort*) :none)) (fopl-beq (if beq (find-method-in fopl-sentence-module beq (list *cosmos* *cosmos*) *fopl-sentence-sort*) :none)) ) ;; (if (eq fopl-beq :none) (setq *fopl-two-equalities* nil) (setq *fopl-two-equalities* t)) ;; (if (and var-decl-list fopl-forall fopl-exists fopl-and fopl-or fopl-imply fopl-iff fopl-neg fopl-eq fopl-beq) (setq *var-decl-list* var-decl-list *fopl-forall* fopl-forall *fopl-exists* fopl-exists *fopl-and* fopl-and *fopl-or* fopl-or *fopl-imply* fopl-imply *fopl-iff* fopl-iff *fopl-neg* fopl-neg *fopl-eq* (if (not (eq fopl-eq :none)) fopl-eq nil) *fopl-beq* (if (not (eq fopl-beq :none)) fopl-beq nil)) (with-output-panic-message () (princ "could not install some operators in FoplSentence")))) ) (t (with-output-panic-message () (princ "could not find FoplSentece module"))) ))) (defun install-fopl-clause () (let ((fopl-clause-module (eval-modexp "FOPL-CLAUSE"))) (let ((answer-method (find-method-in fopl-clause-module '("$Ans") (list *cosmos*) *bool-sort*))) (unless answer-method (with-output-panic-message () (princ "could not install $Ans."))) (setq *fopl-ans* answer-method)))) ;;; NOT USED (defun install-fopl-clause-form () (let ((fopl-clause-form-module (eval-modexp "FOPL-CLAUSE-FORM"))) (cond ((and fopl-clause-form-module (not (modexp-is-error fopl-clause-form-module))) (setq *fopl-clause-form-module* fopl-clause-form-module) ;; setup sorts (let ((fopl-clause-sort (find-sort-in fopl-clause-form-module "FoplClause")) (fopl-sentence-seq-sort (find-sort-in fopl-clause-form-module "FoplSentenceSeq"))) (if (and fopl-clause-sort fopl-sentence-seq-sort) (setq *fopl-clause-sort* fopl-clause-sort *fopl-sentence-seq-sort* fopl-sentence-seq-sort) (with-output-panic-message () (princ "could not install some sorts of FOPL-CLAUSE-FORM")))) ;; setup operators (let ((clause-constructor (find-method-in fopl-clause-form-module '("[" "_" "]") (list *fopl-sentence-seq-sort*) *fopl-clause-sort*)) (clause-constructor2 (find-method-in fopl-clause-form-module '("!" "[" "_" "]") (list *fopl-sentence-seq-sort*) *fopl-clause-sort*)) (fopl-sentence-seq (find-method-in fopl-clause-form-module '("_" ";" "_") (list *fopl-sentence-seq-sort* *fopl-sentence-seq-sort*) *fopl-sentence-seq-sort*)) ) (if (and clause-constructor clause-constructor2 fopl-sentence-seq) (setq *clause-constructor* clause-constructor *clause-constructor2* clause-constructor2 *fopl-sentence-seq* fopl-sentence-seq) (with-output-panic-message () (princ "could not install some operators in FOPL-CLAUSE-FORM"))) )) (t (with-output-panic-message () (princ "could not find FOPL-CLAUSE-FORM"))) ))) ;;; *************** ;;; PRIMITIVE UTILS ;;; *************** (defun fopl-sentence-type (sentence) (declare (type term sentence) (values symbol)) (cond ((term-is-application-form? sentence) (let ((head (term-head sentence))) (cond ((eq head *fopl-forall*) :forall) ((eq head *fopl-exists*) :exists) ((eq head *fopl-and*) :and) ((eq head *fopl-or*) :or) ((eq head *fopl-imply*) :imply) ((eq head *fopl-iff*) :iff) ((eq head *fopl-neg*) :not) ((eq head *fopl-eq*) :eq) ((eq head *fopl-beq*) :beq) (t :atom)))) (t :atom) )) (declaim (inline fopl-forall? fopl-exists? fopl-and? fopl-or? fopl-imply? fopl-iff? fopl-not? fopl-eq? fopl-beq? )) (defun fopl-forall? (f) (declare (type term f)) (and (term-is-application-form? f) (eq (term-head f) *fopl-forall*))) (defun fopl-exists? (f) (declare (type term f)) (and (term-is-application-form? f) (eq (term-head f) *fopl-exists*))) (defun fopl-and? (f) (declare (type term f)) (and (term-is-application-form? f) (eq (term-head f) *fopl-and*))) (defun fopl-or? (f) (declare (type term f)) (and (term-is-application-form? f) (eq (term-head f) *fopl-or*))) (defun fopl-imply? (f) (declare (type term f)) (and (term-is-application-form? f) (eq (term-head f) *fopl-imply*))) (defun fopl-iff? (f) (declare (type term f)) (and (term-is-application-form? f) (eq (term-head f) *fopl-iff*))) (defun fopl-not? (f) (declare (type term f)) (and (term-is-application-form? f) (eq (term-head f) *fopl-neg*))) (defun fopl-eq? (f) (declare (type term f)) (and (term-is-application-form? f) (eq (term-head f) *fopl-eq*))) (defun fopl-beq? (f) (declare (type term f)) (and (term-is-application-form? f) (eq (term-head f) *fopl-beq*))) ;;; IS-VALID-FORMULA? : Tterm -> Bool ;;; (defun is-valid-formula? (term mod) (declare (type term term) (type (or null module) mod)) (unless mod (with-output-chaos-error ('internal) (princ "is-valid-formua?: called with no context module given, this should not happen."))) (is-in-same-connected-component (term-sort term) *fopl-sentence-sort* (module-sort-order mod))) ;;; ;;; CHECK-FOPL-SYNTAX ;;; (defun check-fopl-syntax (fopl-sentence &optional report-error) (declare (type term fopl-sentence)) (if (and (term? fopl-sentence) (is-valid-formula? fopl-sentence *current-module*)) (check-fopl-syntax-aux fopl-sentence report-error) (if report-error (with-output-chaos-error ('invalid-sentence) (princ "encoutered with illegal sentence: ") (print-next) (print-chaos-object fopl-sentence)) nil))) (defun check-fopl-syntax-aux (fopl-sentence report-error) (labels ((check-var-decl (var-decl) (cond ((term-is-variable? var-decl) t) ((and (term-is-application-form? var-decl) (term-subterms var-decl)) (let ((top (term-head var-decl))) (or (and (method-is-of-same-operator top *var-decl-list*) (every #'(lambda (x) (check-var-decl x)) (term-subterms var-decl))) (if report-error (with-output-chaos-error ('invalid-formula) (princ "invaid formula: ") (print-chaos-object fopl-sentence)) nil)))) (t (if report-error (with-output-chaos-error ('invalid-formula) (princ "encounterd with illegal formula") (print-chaos-object fopl-sentence)) nil))))) ;; (if (term-is-application-form? fopl-sentence) (let ((type (fopl-sentence-type fopl-sentence))) (case type (:atom t) ((:forall :exists) (and (check-var-decl (term-arg-1 fopl-sentence)) (check-fopl-syntax-aux (term-arg-2 fopl-sentence) report-error))) (:not (check-fopl-syntax-aux (term-arg-1 fopl-sentence) report-error)) (otherwise (and (check-fopl-syntax-aux (term-arg-1 fopl-sentence) report-error) (check-fopl-syntax-aux (term-arg-2 fopl-sentence) report-error))))) t) )) ;;; EOF cafeobj-1.5.4/BigPink/codes/types.lisp0000644000000000000000000007260312605345045016301 0ustar rootroot;;;-*-Mode:LISP; Package: CHAOS; Base:10; Syntax:Common-lisp -*- ;;; ;;; Copyright (c) 2000-2015, Toshimi Sawada. All rights reserved. ;;; ;;; Redistribution and use in source and binary forms, with or without ;;; modification, are permitted provided that the following conditions ;;; are met: ;;; ;;; * Redistributions of source code must retain the above copyright ;;; notice, this list of conditions and the following disclaimer. ;;; ;;; * Redistributions in binary form must reproduce the above ;;; copyright notice, this list of conditions and the following ;;; disclaimer in the documentation and/or other materials ;;; provided with the distribution. ;;; ;;; THIS SOFTWARE IS PROVIDED BY THE AUTHOR 'AS IS' AND ANY EXPRESSED ;;; OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED ;;; WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ;;; ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY ;;; DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL ;;; DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE ;;; GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS ;;; INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, ;;; WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING ;;; NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS ;;; SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. ;;; ;;; (in-package :chaos) #|============================================================================= System:Chaos Module:BigPink File:types.lisp =============================================================================|# #-:chaos-debug (declaim (optimize (speed 3) (safety 0) #-GCL (debug 0))) #+:chaos-debug (declaim (optimize (speed 1) (safety 3) #-GCL (debug 3))) ;;; ********************* ;;; BASIC Data Structures ;;; ********************* #-(or draft-ansi-cl-2 ansi-cl :clisp) ;; (deftype boolean () '(or null (not null))) ;; #+:cmu ;; (deftype boolean () '(or null (not null))) ;;; ===== ;;; QUEUE ;;; ===== ;;; not used now. ;;; q -> (front-ptr . last-ptr) ;;; | | ;;; V V ;;; (item1, ...., last-item) ;;; (defun make-queue () (cons nil nil)) (defun list->queue (list) (cons list (last list))) (defmacro queue-front-ptr (q) `(car ,q)) (defmacro queue-rear-ptr (q) `(cdr ,q)) (defmacro queue-set-front-ptr (q item) `(setf (car ,q) ,item)) (defmacro queue-set-rear-ptr (q item) `(setf (cdr ,q) ,item)) (defmacro empty-queue? (q) `(null (queue-front-ptr ,q))) (defun queue-front (q) (if (empty-queue? q) nil (car (queue-front-ptr q)))) (defun queue-insert (q item) (let ((new-pair (cons item nil))) (cond ((empty-queue? q) (queue-set-front-ptr q new-pair) (queue-set-rear-ptr q new-pair) q) (t (setf (cdr (queue-rear-ptr q)) new-pair) (queue-set-rear-ptr q new-pair) q)))) (defun delete-queue (q) (cond ((empty-queue? q) nil) (t (queue-set-front-ptr q (cdr (queue-front-ptr q)))))) ;;; ======= ;;; LITERAL ;;; ======= (defstruct (literal (:print-function pr-literal) (:copier nil)) (clause nil :type (or null clause)) ; containing clause (atom nil :type (or null term)) ; the body -- term (sign t :type symbol) ; nil if negation (type nil :type symbol) ; :pos-eq, :neg-eq, :evaluable ; :conditional-demod ; :normal-atom (stat-bits 0 :type fixnum) ; various bit flags ) ;;; STAT-BITS (defconstant scratch-bit #x01) (defconstant oriented-eq-bit #x02) (defmacro test-bit (x bit) `(not (= 0 (logand (the fixnum ,x) (the fixnum ,bit))))) (defmacro set-bit (x y) `(setf ,x (logior ,x (the fixnum ,y)))) (defmacro clear-bit (x y) `(setf ,x (logand ,x (lognot (the fixnum ,y))))) ;;; types of non variable term containing in a literal. ;;; :term : not an atom ;;; :normal-atom : normal atom ;;; :pos-eq : psitive equality atom ;;; :neg-eq : negative equality atom ;;; :answer : answer lieteral atom ;;; :lex-dep-demod : lex-dependent domodulator atom ;;; :evaluable : evaluable term ;;; :conditional-demod : conditional demodulator ;;; POSITIVE-LITERAL? ;;; (defmacro positive-literal? (_lit) `(literal-sign ,_lit)) (defmacro negative-literal? (_lit) `(null (literal-sign ,_lit))) ;;; ANSWER-LITERAL? : Literal -> Bool ;;; *NOT YET* (defmacro answer-literal? (_lit) `(eq (literal-type ,_lit) :answer)) ;;; POSITIVE-EQ-LITERAL? : Literal -> Bool ;;; returns no-nil iff literal is a positive equality literal. ;;; (defmacro positive-eq-literal? (lit) `(eq :pos-eq (literal-type ,lit))) ;;; NEGATIVE-EQ-LITERAL? : Literal -> Bool ;;; returns no-nil iff literal is a negative equality literal ;;; (defmacro negative-eq-literal? (lit) `(eq :neg-eq (literal-type ,lit))) ;;; EQ-LITERAL? : Literal -> Bool ;;; returns no-nil iff literal is an equality literal (pos or neg) ;;; (defmacro eq-literal? (literal) (once-only (literal) `(or (positive-eq-literal? ,literal) (negative-eq-literal? ,literal)))) ;;; PROPOSITIONAL-LITERAL? ;;; (declaim (inline propositional-literal?)) (defun propositional-literal? (lit) (declare (type literal lit)) (null (term-variables (literal-atom lit)))) ;;; LITERAL PRINTER #|| (defun pr-literal (lit stream &rest ignore) (declare (type literal lit) (type stream stream) (ignore ignore)) (let ((.printed-vars-so-far. .printed-vars-so-far.)) (unless (literal-sign lit) (princ "~(" stream) (setq .file-col. (1+ .file-col.))) (with-in-module ((get-context-module)) (cond ((eq-literal? lit) (let* ((lhs (term-arg-1 (literal-atom lit))) (rhs (term-arg-2 (literal-atom lit))) (*print-indent* *print-indent*)) (setq *print-indent* (max *print-indent* .file-col.)) (setq .printed-vars-so-far. (append .printed-vars-so-far. (term-print lhs stream))) (setq .file-col. (file-column stream)) (princ " = ") #|| (if (print-check 0 30) ; 30? (princ "= ") (princ " = ")) ||# (setq *print-indent* (max *print-indent* (setq .file-col. (file-column stream)))) (setq .printed-vars-so-far. (append .printed-vars-so-far. (term-print rhs stream))) )) (t (setq .printed-vars-so-far. (append .printed-vars-so-far. (term-print (literal-atom lit) stream)))) ) ) (unless (literal-sign lit) (princ ")" stream)) .printed-vars-so-far.) ) ||# (defun pr-literal (lit stream &rest ignore) (declare (type literal lit) (type stream stream) (ignore ignore)) (let ((.printed-vars-so-far. .printed-vars-so-far.)) (unless (literal-sign lit) (princ "~(" stream) (setq .file-col. (1+ .file-col.))) (with-in-module ((get-context-module)) (setq .printed-vars-so-far. (append .printed-vars-so-far. (term-print (literal-atom lit) stream)))) (unless (literal-sign lit) (princ ")" stream)) .printed-vars-so-far.)) ;;; ;;; some gobal flags ;;; t if our logic has two diffrent types of equality. ;; (declaim (type boolean *fopl-two-equalities*)) (defvar *fopl-two-equalities* nil) ;;; primitive built-in modules for supporting inference in FOPL (defvar *fopl-sentence-module* nil) (defvar *fopl-clause-form-module* nil) ;;; primitive sorts declared in the aboves. (defvar *fopl-sentence-sort* nil) (defvar *var-decl-list-sort* nil) (defvar *fopl-clause-sort* nil) (defvar *fopl-sentence-seq-sort* nil) ;;; primitive formula constructors (defvar *var-decl-list* nil) (defvar *fopl-and* nil) (defvar *fopl-or* nil) (defvar *fopl-imply* nil) (defvar *fopl-iff* nil) (defvar *fopl-neg* nil) (defvar *fopl-forall* nil) (defvar *fopl-exists* nil) (defvar *fopl-eq* nil) (defvar *fopl-beq* nil) (defvar *fopl-ans* nil) ;;; not used (defvar *clause-constructor* nil) (defvar *clause-constructor2* nil) (defvar *fopl-sentence-seq* nil) ;;; (declaim (inline term-is-atom?)) (defun term-is-atom? (term) (declare (type term term)) (sort<= (term-sort term) *fopl-sentence-sort* *current-sort-order*)) ;;; ====== ;;; CLAUSE ;;; ====== (defstruct (clause (:print-function print-clause) ;; copier is defined in `clause.lisp' (:copier nil)) (parents nil :type list) ; parents produces this clause (literals nil :type list) ; list of literal (id -1 :type fixnum) (pick-weight -1 :type fixnum) (attributes nil :type list) (type nil :type symbol) (bits 0 :type fixnum) (heat-level 0 :type fixnum) (formula nil :type (or null term)) ; original formula (axiom nil :type (or null axiom)) ; derived axiom if any. (container nil :type symbol) ; containing list, one of ; :sos, :usable, :other... ) ;;; GET-CLAUSE : id -> Clause ;;; (defmacro get-clause (_id _hash) `(gethash ,_id ,_hash)) ;;; types of members of clause's parent lists. ;;; positive integers are clause IDs. ;;; ;;; :BINARY-RES-RULE ;;; :HYPER-RES-RULE ;;; :NEG-HYPER-RES-RULE ;;; :UR-RES-RULE ;;; :PARA-INTO-RULE ;;; :PARA-FROM-RULE ;;; :LINKED-UR-RES-RULE ;;; :GEO-RULE ;;; :FACTOR-RULE ;;; :NEW-DEMOD-RULE ;;; :BACK-DEMOD-RULE ;;; :DEMOD-RULE ;;; :UNIT-DEL-RULE ;;; :EVAL-RULE ;;; :GEO-ID-RULE ;;; :FACTOR-SIMP-RULE ;;; :COPY-RULE ;;; :FLIP-EQ-RULE ;;; :CLAUSIFY-RULE ;;; :BACK-UNIT-DEL-RULE ;;; :SPLIT-RULE ;;; :SPLIT-NEG-RULE ;;; :LIST-RULE ;;; :DISTINCT-CONSTANTS ;;; (defparameter cl-print-mergine 30) (defun print-clause (cl &optional (stream *standard-output*) &rest ignore) (declare (type clause cl) (type stream stream) (ignore ignore)) (let ((*print-pretty* nil) (.printed-vars-so-far. nil) (*print-xmode* :fancy) (*standard-output* stream) (fcol-1 0)) #|| (when (symbolp cl) (format stream "~a" cl) (return-from print-clause nil)) ||# (let ((flg nil)) (declare (type symbol flg)) (when (<= 0 (clause-id cl)) (format stream "~d:" (clause-id cl))) (setq fcol-1 (file-column stream)) ;; (when (< 0 (clause-heat-level cl)) ;; (format t "(heat=~D) " (clause-heat-level cl))) (princ "[" stream) (dolist (ips (clause-parents cl)) (declare (type list ips)) (dolist (ip ips) (declare (type (or symbol fixnum list) ip)) (if (eq flg :colon) (princ ":" stream) (if (eq flg :comma) (princ "," stream))) (cond ((symbolp ip) (setq flg :colon) (case ip (:binary-res-rule (princ "binary" stream)) (:pbinary-res-rule (princ "prop-res" stream)) (:hyper-res-rule (princ "hyper" stream)) (:neg-hyper-res-rule (princ "neg-hyper" stream)) (:ur-res-rule (princ "ur" stream)) (:para-into-rule (princ "para-into" stream)) (:para-from-rule (princ "para-from" stream)) (:factor-rule (princ "factor" stream)) ;; (:factor-simp-rule (princ "factor-simp" stream)) (:factor-simp-rule (princ "fsimp" stream)) (:distinct-constants (princ "dconst" stream)) (:new-demod-rule (princ "new-demod" stream)) (:back-demod-rule (princ "back-demod" stream)) (:demod-rule (princ "demod" stream)) (:unit-del-rule (princ "unit-del" stream)) (:eval-rule (princ "eval" stream)) (:copy-rule (princ "copy" stream)) (:flip-eq-rule (princ "flip" stream)) (:back-unit-del-rule (princ "back-unit-del" stream)) (otherwise (princ ip stream)))) ((atom ip) (setq flg :comma) (princ ip stream)) ;; list (t (setq flg :comma) (format stream "~a.~a" (car ip) (cdr ip))))))) ;; (princ "] " stream) (let* ((.file-col. (file-column stream)) (flg nil) (*print-indent* *print-indent*) (ind-check 0)) (declare (type symbol flg)) (setq *print-indent* fcol-1) (if (print-check fcol-1 cl-print-mergine stream) (setq ind-check fcol-1) (setq ind-check .file-col.)) (setq *print-indent* ind-check) (dolist (lit (clause-literals cl)) (setq .file-col. (file-column stream)) (if flg (progn (princ " | " stream) (setq .file-col. (+ 3 .file-col.)) (if (print-check ind-check 20 stream) (setq .file-col. (file-column stream)) ) ) (setq flg t)) (setq .printed-vars-so-far. (append .printed-vars-so-far. (pr-literal lit stream)))) ))) #|| (defun print-clause (cl &optional (stream *standard-output*) &rest ignore) (declare (type clause cl) (type stream stream) (ignore ignore)) (let ((*print-pretty* nil) (.printed-vars-so-far. nil) (*standard-output* stream) (fcol-1 0)) (declare (special *print-pretty*)) (let ((flg nil)) (declare (type symbol flg)) (format stream "~d:" (clause-id cl)) (setq fcol-1 (file-column stream)) ;; (when (< 0 (clause-heat-level cl)) ;; (format t "(heat=~D) " (clause-heat-level cl))) (princ "[" stream) (dolist (ips (clause-parents cl)) (declare (type list ips)) (dolist (ip ips) (declare (type (or symbol fixnum list) ip)) (if (eq flg :colon) (princ ":" stream) (if (eq flg :comma) (princ "," stream))) (cond ((symbolp ip) (setq flg :colon) (case ip (:binary-res-rule (princ "binary" stream)) (:pbinary-res-rule (princ "prop-res" stream)) (:hyper-res-rule (princ "hyper" stream)) (:neg-hyper-res-rule (princ "neg-hyper" stream)) (:ur-res-rule (princ "ur" stream)) (:para-into-rule (princ "para-into" stream)) (:para-from-rule (princ "para-from" stream)) (:factor-rule (princ "factor" stream)) ;; (:factor-simp-rule (princ "factor-simp" stream)) (:factor-simp-rule (princ "fsimp" stream)) (:distinct-constants (princ "dconst" stream)) (:new-demod-rule (princ "new-demod" stream)) (:back-demod-rule (princ "back-demod" stream)) (:demod-rule (princ "demod" stream)) (:unit-del-rule (princ "unit-del" stream)) (:eval-rule (princ "eval" stream)) (:copy-rule (princ "copy" stream)) (:flip-eq-rule (princ "flip" stream)) (:back-unit-del-rule (princ "back-unit-del" stream)) (otherwise (princ ip stream)))) ((atom ip) (setq flg :comma) (princ ip stream)) ;; list (t (setq flg :comma) (format stream "~a.~a" (car ip) (cdr ip))) )) )) ;; (princ "] " stream) )) ||# (defun pr-clause-list (cl &optional (detail nil)) (declare (ignore detail) (type list cl)) (dolist (c cl) (print-next) (print-clause c) )) (defun print-clause-attributes (clause) (declare (type clause clause)) (princ (clause-attributes clause))) ;;; CLAUSE-TO-TERM : Clause -> Term ;;; translate clause to term ;;; (defun literals-to-term (lit-list) (declare (type list lit-list) (values term)) (if (null lit-list) *bool-false* (let ((res nil)) (declare (type (or null term) res)) (do* ((lits lit-list (cdr lits)) (l (car lits) (car lits))) ((null lits)) (declare (type literal l)) (if (literal-sign l) (push (make-term-with-sort-check *fopl-neg* (list (literal-atom l))) res) (push (literal-atom l) res))) (if (cdr res) (setq res (make-right-assoc-normal-form-with-sort-check *fopl-or* (nreverse res))) (setq res (car res))) ;; res))) (defun clause-to-term (cl) (declare (type clause cl) (values term)) (literals-to-term (clause-literals cl))) ;;; LITERAL COPIER ;;; (defun copy-literal (lit &optional variables clause subst) (declare (type literal lit) (type list variables subst) (type (or null clause) clause) (values literal)) (let ((atom (literal-atom lit))) (declare (type term atom)) (when subst (setq atom (apply-subst subst atom))) (make-literal :clause (if clause clause (literal-clause lit)) :atom (if variables (copy-term-using-variable atom variables) (copy-term-reusing-variables atom (term-variables atom))) :sign (literal-sign lit) :type (literal-type lit))) ) (defun shallow-copy-literal (lit &optional clause) (declare (type literal lit) (type (or null clause) clause) (values literal)) (make-literal :clause (if clause clause (literal-clause lit)) :atom (literal-atom lit) :sign (literal-sign lit) :type (literal-type lit))) ;;; CLAUSE-VARIABLES : Clause -> List[Variable] ;;; (defun clause-variables (clause) (declare (type clause clause) (values list)) (let ((vars nil)) (declare (type list vars)) (dolist (lit (clause-literals clause)) (declare (type literal lit)) (setq vars (nunion vars (term-variables (literal-atom lit)) :test #'!term-eq))) vars)) ;;; CLAUSE-DISTINCT-VARIABLES (clause) (declaim (inline clause-distinct-variables)) (defun clause-distinct-variables (clause) (declare (type clause clause) (values fixnum)) (length (clause-variables clause))) ;;; GROUND-CLAUSE? : Clause -> Bool ;;; (declaim (inline ground-clause?)) (defun ground-clause? (clause) (declare (type clause clause)) (null (clause-variables clause))) ;;; NUM-LITERALS : Clause -> Nat ;;; (declaim (inline num-literals)) (defun num-literals (clause) (declare (type clause clause) (values fixnum)) (let ((num 0)) (declare (type fixnum num)) (dolist (lit (clause-literals clause)) (declare (type literal lit)) (unless (answer-literal? lit) (incf num))) num)) ;;; NUM-ANSWERS : Clause -> Nat ;;; (declaim (inline num-answers)) (defun num-answers (clause) (declare (type clause clause) (values fixnum)) (let ((i 0)) (declare (type fixnum i)) (dolist (lit (clause-literals clause)) (declare (type literal lit)) (when (answer-literal? lit) (incf i))) i)) ;;; NUM-LITERALS-ALL : Clause -> Nat ;;; (declaim (inline num-literals-all)) (defun num-literals-all (clause) (declare (type clause clause) (values fixnum)) (the fixnum (length (clause-literals clause)))) ;;; UNIT-CLAUSE? : Clause -> Bool ;;; t if clause is a unit clause (exclude answer literals) ;;; (declaim (inline unit-clause?)) (defun unit-clause? (clause) (declare (type clause clause)) (= 1 (the fixnum (num-literals clause)))) ;;; POSITIVE-CLAUSE? : Clause -> Bool ;;; returns t iff given clause is positive otherwise nil. ;;; (excludes answer literals.) ;;; (declaim (inline positive-clause?)) (defun positive-clause? (clause) (declare (type clause clause)) (every #'(lambda (lit) (declare (type literal lit)) (or (positive-literal? lit) (answer-literal? lit))) (clause-literals clause))) ;;; NEGATIVE-CLAUSE? : Clause -> Bool ;;; (declaim (inline negative-clause?)) (defun negative-clause? (clause) (declare (type clause clause)) (every #'(lambda (lit) (declare (type literal lit)) (or (negative-literal? lit) (answer-literal? lit))) (clause-literals clause))) ;;; PROPOSITIONAL-CLAUSE? : Clause -> Bool ;;; (declaim (inline propositional-clause?)) (defun propositional-clause? (clause) (declare (type clause clause)) (every #'(lambda (lit) (declare (type literal lit)) (let ((atom (literal-atom lit))) (and (not (term-is-variable? atom)) (term-is-constant? atom)))) (clause-literals clause))) ;;; HORN-CLAUSE? : Clause -> Bool ;;; t if clause is a Horn Clause (at most one positive literal). ;;; (ignore answer literals). ;;; (declaim (inline horn-clause?)) (defun horn-clause? (clause) (declare (type clause clause)) (let ((i 0)) (declare (type fixnum i)) (dolist (lit (clause-literals clause)) (declare (type literal lit)) (when (and (positive-literal? lit) (not (answer-literal? lit))) (incf i))) (<= i 1))) ;;; EQUALITY-CLAUSE? : Clause -> Bool ;;; t iff clause contains any equality literals (pos or neg). ;;; (declaim (inline equality-clause?)) (defun equality-clause? (clause) (declare (type clause clause)) (dolist (lit (clause-literals clause)) (declare (type literal lit)) (if (or (positive-eq-literal? lit) (negative-eq-literal? lit)) (return-from equality-clause? t))) nil) ;;; SYMMETRY-CLAUSE? : Clause -> Bool ;;; t iff given clause is for symmetry of equality. ;;; i.e., X = Y -> Y = X ;;; ~(X = Y) | Y = X (defun symmetry-clause? (clause) (declare (type clause clause)) (let ((lits (clause-literals clause))) (unless (= 2 (num-literals clause)) (return-from symmetry-clause? nil)) (let ((l1 (first lits)) (l2 (second lits))) (declare (type literal l1 l2)) (when (eq (literal-sign l1) (literal-sign l2)) (return-from symmetry-clause? nil)) (and (eq-literal? l1) (eq-literal? l2) (let ((t1 (literal-atom l1)) (t2 (literal-atom l2))) (and (term-is-variable? (term-arg-1 t1)) (variable-eq (term-arg-1 t1) (term-arg-2 t2)) (term-is-variable? (term-arg-2 t1)) (variable-eq (term-arg-2 t1) (term-arg-1 t2)))))))) ;;; XX-RESOLVABLE : Clause -> Bool ;;; t if the non unit clause have a literal that can ;;; resolve with x = x. ;;; (defun xx-resolvable (clause) (declare (type clause clause)) (dolist (lit (clause-literals clause)) (declare (type literal lit)) (when (negative-eq-literal? lit) (let* ((atom (literal-atom lit)) (a1 (term-arg-1 atom)) (a2 (term-arg-2 atom))) (if (and (term-is-variable? a1) (not (occurs-in a1 a2))) (return-from xx-resolvable t) (if (and (term-is-variable? a2) (not (occurs-in a2 a1))) (return-from xx-resolvable t)))))) nil) ;;; ============ ;;; proof system ;;; ============ (defstruct psystem (module nil) ; context module (sos nil) ; list of sos clause (usable nil) ; list of usable clause (passive nil) ; list of passive clause (axioms nil) ; list of axioms in clause form (demods nil) ; list of demod clauses (bi-demods nil) ; list of builtin demod clauses (clause-hash nil) ; hash table of clauses (demodulators nil) ; (make-hash-table :test #'eq)) ; demodulator hash table (clause-counter 1) ; clause identifier counter ) (defun initialize-psystem (psys mod) (declare (type psystem psys) (type module mod) (values psystem)) (setf (psystem-module psys) mod (psystem-sos psys) nil (psystem-usable psys) nil (psystem-axioms psys) nil (psystem-clause-counter psys) 1) (clrhash (psystem-clause-hash psys)) (clrhash (psystem-demodulators psys)) psys) ;;; CLASH ;;; used by hyper and UR resolution ;;; allocated one for each clashable literal of nucleus. ;;; (defstruct (clash (:print-function print-clash)) (literal nil :type (or null literal)) ; literal from nucleus (db nil :type (or null hash-table)) ; indexed table to use for ; finding satellites (subst nil :type list) ; unifying substitution (clashables nil :type list) (found-lit nil :type (or null literal)) ; unifying literal (evaluable nil) ; bi-demod (evaluation nil) ; ditto (already-evaluated nil) ; ditto (prev nil :type (or null clash)) ; links (next nil :type (or null clash)) ) (defun print-clash (obj &optional (stream *standard-output*) &rest ignore) (declare (ignore ignore)) (let* ((*standard-output* stream) (fcol (file-column stream)) (*print-indent* (if (not (= 0 fcol)) fcol (+ *print-indent* 4)))) ;; (declare (type fixnum fcol *print-indent*)) (do ((clash obj (clash-next clash)) (num 0 (1+ num))) ((null clash)) (declare (type fixnum num)) (format t "#~d") (print-next) ))) ;;; ;;; PARAMODULATOR ;;; (defstruct (paramod (:print-function pr-paramod)) (lhs nil :type (or null term)) (rhs nil :type (or null term)) (literal nil :type (or null literal))) (defun pr-paramod (obj &optional (stream *standard-output*) &rest ignore) (declare (ignore ignore)) (let ((*standard-output* stream)) (format t "#" (clause-id (literal-clause (paramod-literal obj)))) )) ;;; ;;; DEMODULATOR ;;; (defstruct (demod (:copier nil) (:constructor make-demod) (:print-function print-demodulator)) (axiom nil :type (or null axiom)) (order :normal :type symbol) (clause nil) ) (defmacro demod-lhs (_demod) `(axiom-lhs (demod-axiom ,_demod))) (defmacro demod-rhs (_demod) `(axiom-rhs (demod-axiom ,_demod))) (defmacro demod-condition (_demod) `(axiom-condition (demod-axiom ,_demod))) (eval-when (:execute :load-toplevel) (setf (get 'demod :type-predicate) (symbol-function 'demod-p)) (setf (get 'demod :print) 'print-demod-internal) (setf (symbol-function 'is-demod) (symbol-function 'demod-p)) ) #|| (defun print-demod-object (obj &optional (stream *standard-output*) &rest ignore) (declare (ignore ignore)) (format stream "#" (clause-id (demod-clause obj)) (demod-order obj) (addr-of obj))) ||# (defun print-demodulator (demod &optional (stream *standard-output*) &rest ignore) (declare (ignore ignore)) (let* ((lhs (demod-lhs demod)) (rhs (demod-rhs demod)) (clause (demod-clause demod)) (clause-id (if (not (clause-p clause)) :* (clause-id clause))) (.printed-vars-so-far. nil)) (let ((*standard-output* stream) (.file-col. .file-col.) (indent 0)) (format t "(~a) " clause-id) (setq indent (file-column stream)) (setq .printed-vars-so-far. (term-print lhs)) (setq .file-col. (file-column stream)) (print-check indent .file-col.) (princ " --> ") (setq .file-col. (+ 5 .file-col.)) (term-print rhs stream) (format stream " [~a]" (demod-order demod)) ))) ;;; ---------- ;;; OPTION SET ;;; ----------- (defstruct (option-set) (name "" :type simple-string) (flags nil :type (or null simple-array)) (parameters nil :type (or null simple-array)) ) ;;; EOF cafeobj-1.5.4/BigPink/codes/unify.lisp0000644000000000000000000003541712605345045016271 0ustar rootroot;;;-*-Mode:LISP; Package: CHAOS; Base:10; Syntax:Common-lisp -*- ;;; ;;; Copyright (c) 2000-2015, Toshimi Sawada. All rights reserved. ;;; ;;; Redistribution and use in source and binary forms, with or without ;;; modification, are permitted provided that the following conditions ;;; are met: ;;; ;;; * Redistributions of source code must retain the above copyright ;;; notice, this list of conditions and the following disclaimer. ;;; ;;; * Redistributions in binary form must reproduce the above ;;; copyright notice, this list of conditions and the following ;;; disclaimer in the documentation and/or other materials ;;; provided with the distribution. ;;; ;;; THIS SOFTWARE IS PROVIDED BY THE AUTHOR 'AS IS' AND ANY EXPRESSED ;;; OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED ;;; WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ;;; ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY ;;; DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL ;;; DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE ;;; GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS ;;; INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, ;;; WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING ;;; NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS ;;; SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. ;;; ;;; (in-package :chaos) #|============================================================================= System:Chaos Module:BigPink File:unify.lisp =============================================================================|# #-:chaos-debug (declaim (optimize (speed 3) (safety 0) #-GCL (debug 0))) #+:chaos-debug (declaim (optimize (speed 1) (safety 3) #-GCL (debug 3))) ;;; ======= ;;; UNIFIER ;;; ======= (defun compose-subst (s1 s2) (declare (type list s1 s2)) (labels ((add-new (s newsl) (declare (type list s newsl)) (cond ((null s) newsl) ((variable-image newsl (caar s)) (add-new (cdr s) newsl)) (t (cons (car s) (add-new (cdr s) newsl))))) (composel (s1 s2) (declare (type list s1 s2)) (cond ((null s1) nil) (t (cons (cons (caar s1) (apply-subst s2 (cdar s1))) (composel (cdr s1) s2)))))) ;; (if (car s2) (add-new s2 (composel s1 s2)) s1))) #|| (defun pn-decompose-terms-unify (t1 t2 ans) (macrolet ((add-bind-to-sub (v1 t1 sub) `(let* ((pair (cons ,v1 ,t1)) (new-sub (normal-form-sub (list pair) ,sub))) (unless new-sub (return-from pn-decompose-terms-unify :fail)) new-sub))) (cond ((term-is-variable? t1) (when (variable-eq t1 t2) (return-from pn-decompose-terms-unify ans)) (when (occurs-in t1 t2) (return-from pn-decompose-terms-unify :fail)) (let ((cval (variable-image ans t1))) (if cval (pn-decompose-terms-unify cval t2 ans) (let ((s1 (term-sort t1)) (s2 (term-sort t2))) (if (sort<= s2 s1 *current-sort-order*) (add-bind-to-sub t1 t2 ans) (if (term-is-variable? t2) (if (sort<= s1 s2 *current-sort-order*) (add-bind-to-sub t2 t1 ans) :fail) :fail))))) ) ;; ((term-is-variable? t2) (pn-decompose-terms-unify t2 t1 ans)) ;; ((term-is-builtin-constant? t1) (if (term-builtin-equal t1 t2) ans :fail)) ((term-is-builtin-constant? t2) :fail) ;; ((term-is-application-form? t1) (let ((t1-top (term-head t1)) (t2-top (term-head t2))) (if (method-is-of-same-operator t1-top t2-top) (let ((t1-subterms (term-subterms t1)) (t2-subterms (term-subterms t2))) (loop (unless t1-subterms (return)) (setq ans (pn-decompose-terms-unify (car t1-subterms) (car t2-subterms) ans)) (when (eq ans :fail) (return)) (setq t1-subterms (cdr t1-subterms)) (setq t2-subterms (cdr t2-subterms))) ans) :fail))) ;; (t ;(term-is-builtin-constant? t2) :fail )))) ||# (declaim (special .do-occur-check.)) (defvar .do-occur-check. t) (defun pn-decompose-terms-unify (t1 t2 ans) (declare (type term t1 t2) (type (or symbol list) ans) ;; (values (or (member :fail) list)) (values (or symbol list))) (macrolet ((add-binding (v1 t1 sub) `(cons (cons ,v1 ,t1) ,sub))) ;; (labels ((occurs-check (var x bindings) (declare (type term var x) (list bindings)) (cond ((term-is-variable? x) (or (term-eq var x) (let ((cval (variable-image bindings x))) (declare (type (or null term) cval)) (and cval (occurs-check var cval bindings))))) ((term-is-application-form? x) (dolist (sub (term-subterms x)) (when (occurs-check var sub bindings) (return-from occurs-check t))) nil) (t nil))) (var-unify (var x bindings) (declare (type term var x) (type list bindings)) (let ((cval (variable-image bindings var)) ;; (x-is-var nil) ) (declare (type (or null term) cval)) (when cval (return-from var-unify (pn-decompose-terms-unify cval x bindings))) (when (term-is-variable? x) ;; (setq x-is-var t) (let ((cval2 (variable-image bindings x))) (declare (type (or null term) cval2)) (when cval2 (return-from var-unify (pn-decompose-terms-unify var cval2 bindings))))) (when (and .do-occur-check. (occurs-check var x bindings)) (return-from var-unify :fail)) ;; (let ((s1 (term-sort var)) (s2 (term-sort x))) (declare (type sort* s1 s2)) (if (sort<= s2 s1 *current-sort-order*) (add-binding var x bindings) #|| (if x-is-var (if (sort<= s1 s2 *current-sort-order*) (add-binding x var bindings) :fail) :fail) ||# :fail )))) ) ;; (cond ((term-eq t1 t2) (return-from pn-decompose-terms-unify ans)) ((term-is-variable? t1) (var-unify t1 t2 ans)) ((term-is-variable? t2) (var-unify t2 t1 ans)) ;; ((term-is-builtin-constant? t1) (if (term-builtin-equal t1 t2) ans :fail)) ((term-is-builtin-constant? t2) :fail) ;; ((term-is-application-form? t1) (let ((t1-top (term-head t1)) (t2-top (term-head t2))) (declare (type method t1-top t2-top)) (if (method-is-of-same-operator t1-top t2-top) (let ((t1-subterms (term-subterms t1)) (t2-subterms (term-subterms t2))) (loop (unless t1-subterms (return)) (setq ans (pn-decompose-terms-unify (car t1-subterms) (car t2-subterms) ans)) (when (eq ans :fail) (return)) (setq t1-subterms (cdr t1-subterms)) (setq t2-subterms (cdr t2-subterms))) ans) :fail))) ;; (t ;(term-is-builtin-constant? t2) :fail ))))) (defun pn-decompose-terms-match (t1 t2 ans) (declare (type term t1 t2) (type (or (member :fail) list) ans) (values (or (member :fail) list))) (macrolet ((add-bind-to-sub (v1 t1 sub) `(cons (cons ,v1 ,t1) ,sub))) (cond ((term-is-variable? t1) (let ((cval (variable-image ans t1))) (declare (type (or null term) cval)) (if cval (if (term-is-identical cval t2) ans :fail) (if (sort<= (term-sort t2) (term-sort t1) *current-sort-order*) (add-bind-to-sub t1 t2 ans) :fail) ))) ;; ((term-is-variable? t2) :fail) ;; ((term-is-builtin-constant? t1) (if (term-builtin-equal t1 t2) ans :fail)) ((term-is-builtin-constant? t2) :fail) ;; ((term-is-application-form? t1) (let ((t1-top (term-head t1)) (t2-top (term-head t2))) (declare (type method t1-top t2-top)) (if (method-is-of-same-operator t1-top t2-top) (let ((t1-subterms (term-subterms t1)) (t2-subterms (term-subterms t2))) (loop (unless t1-subterms (return)) (setq ans (pn-decompose-terms-match (car t1-subterms) (car t2-subterms) ans)) (when (eq ans :fail) (return)) (setq t1-subterms (cdr t1-subterms)) (setq t2-subterms (cdr t2-subterms))) ans) :fail))) ;; (t ;(term-is-builtin-constant? t2) :fail )))) ;;; UNIFY : TERM1 TERM2 SUBST -> {SUBST, NO-MATCH, E-MATCH} ;;; (defun unify (t1 t2 &optional subst) (declare (type term t1 t2) (list subst)) (if (pn-flag unify-heavy) (let ((*do-unify* t)) (multiple-value-bind (gst new-subst no-match e-eq) (first-match t1 t2 subst) (declare (ignore gst) (type list new-subst)) (when no-match (return-from unify (values nil t nil))) (when e-eq (return-from unify (values subst nil t))) (setq subst (compose-subst subst new-subst)) (values subst nil nil)) ) ;; simple nonE-theory unification. (let ((ans (pn-decompose-terms-unify t1 t2 subst))) #|| (when *match-debug* (with-output-simple-msg () (princ "*** UNIFY") (print-next) (princ "t1 = ")(term-print t1) (print-next) (princ "t2 = ")(term-print t2)) ) ||# (if (eq ans :fail) (values nil t nil) (if ans (let ((sub (normal-form-sub ans nil)) ;; (sub ans) ) #|| (when *match-debug* (with-output-simple-msg () (princ "- UNIFY: subst = ") (print-substitution sub))) ||# (values sub nil nil) ) (progn #|| (when *match-debug* (with-output-simple-msg () (princ "- UNIFY: e-equal"))) ||# (values subst nil t)))) ))) (declaim (inline prop-unify)) (defun prop-unify (gpat t2) (declare (type term gpat t2)) (if (term-is-identical gpat t2) (values nil nil t) (values nil t nil))) (defun first-unify (t1 t2 &optional subst) (declare (type term t1 t2) (type list subst)) (let ((*do-unify* t)) (multiple-value-bind (gst new-subst no-match e-eq) (first-match t1 t2 subst) (when no-match (return-from first-unify (values nil nil t nil))) (when e-eq (return-from first-unify (values gst subst nil t))) (setq subst (compose-subst subst new-subst)) (values gst subst nil nil)) )) (defun next-unify (gst) (let ((*do-unify* t)) (next-match gst))) ;;; ======= ;;; MATCHER ;;; ======= (defun pn-match (t1 t2 &optional subst one-way-match) (declare (type term t1 t2) (type list subst)) #|| (when *match-debug* (with-output-msg () (princ "pn-match:") (print-next) (princ "t1 = ") (term-print t1) (print-next) (princ "t2 = ") (term-print t2) (when subst (print-next) (princ "subst = ") (print-substitution subst)))) ||# (if (pn-flag unify-heavy) (let ((*do-unify* nil) (*one-way-match* one-way-match)) (multiple-value-bind (gst new-subst no-match e-eq) (first-match t1 t2 subst) (declare (ignore gst) (type list new-subst)) (when no-match (return-from pn-match (values nil t nil))) (when e-eq (return-from pn-match (values subst nil t))) (setq subst (compose-subst subst new-subst)) (return-from pn-match (values subst nil nil)))) ;; simple nonE-theory match (let* ((*one-way-match* one-way-match) (ans (pn-decompose-terms-match t1 t2 subst))) (if (eq ans :fail) (values nil t nil) (if ans (values ans nil nil) (values subst nil t)) )))) #|| (defun pn-match-2 (t1 t2 &optional subst) (let ((*do-unify* nil) (*one-way-match* t)) (multiple-value-bind (gst new-subst no-match e-eq) (first-match t1 t2 subst) (declare (ignore gst)) (when no-match (return-from pn-match-2 (values nil t nil))) (when e-eq (return-from pn-match-2 (values subst nil t))) (setq subst (compose-subst subst new-subst)) (return-from pn-match-2 (values subst nil nil))) )) ||# ;;; EOF cafeobj-1.5.4/BigPink/codes/weight.lisp0000644000000000000000000006000312605345045016413 0ustar rootroot;;;-*-Mode:LISP; Package: CHAOS; Base:10; Syntax:Common-lisp -*- ;;; ;;; Copyright (c) 2000-2015, Toshimi Sawada. All rights reserved. ;;; ;;; Redistribution and use in source and binary forms, with or without ;;; modification, are permitted provided that the following conditions ;;; are met: ;;; ;;; * Redistributions of source code must retain the above copyright ;;; notice, this list of conditions and the following disclaimer. ;;; ;;; * Redistributions in binary form must reproduce the above ;;; copyright notice, this list of conditions and the following ;;; disclaimer in the documentation and/or other materials ;;; provided with the distribution. ;;; ;;; THIS SOFTWARE IS PROVIDED BY THE AUTHOR 'AS IS' AND ANY EXPRESSED ;;; OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED ;;; WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ;;; ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY ;;; DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL ;;; DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE ;;; GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS ;;; INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, ;;; WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING ;;; NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS ;;; SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. ;;; ;;; (in-package :chaos) #|============================================================================= System:Chaos Module:BigPink File:weight.lisp =============================================================================|# #-:chaos-debug (declaim (optimize (speed 3) (safety 0) #-GCL (debug 0))) #+:chaos-debug (declaim (optimize (speed 1) (safety 3) #-GCL (debug 3))) ;;; ************************************************************** ;;; functions to weight clauses, literals and terms ;;; (also some routines handling lexical ordering (not LRPO)). ;;; ************************************************************** ;;; extend module info ;;; :op-lex ;;; contains operator symbol precedence list defined by "lex" command. ;;; (defmacro module-op-lex (_mod) `(getf (object-misc-info ,_mod) :op-lex)) ;;; OPERATOR PREC TABLE ;;; (defvar .op-lex-relation-table. (make-hash-table :test #'eq)) (defvar *debug-op-relation* nil) ;;; OP-RELATION ;;; (op sub-operators super-operators) (defmacro make-op-relation (_op &optional _sub _super) `(list ,_op ,_sub ,_super)) (defmacro get-op-relation (_op _order) `(gethash ,_op ,_order)) (defmacro op-relation-op (_sl) `(car ,_sl)) (defmacro _subops (_sl) `(cadr ,_sl)) (defmacro _superops (_sl) `(caddr ,_sl)) (defmacro subops (_op &optional (_order '.op-lex-relation-table.)) `(_subops (get-op-relation ,_op ,_order))) (defmacro superops (_op &optional (_order '.op-lex-relation-table.)) `(_superops (get-op-relation ,_op ,_order))) (declaim (inline op-lex<)) (defun op-lex< (op1 op2 &optional (order .op-lex-relation-table.)) (declare (type method op1 op2) (type hash-table .op-lex-relation-table.)) (memq op2 (superops op1 order))) (defun dump-op-lex-relation-table () (maphash #'(lambda (op rel) (with-output-msg () (format t "operator ~a " op) (print-method op) (print-next) (format t "subs: ~{~a~}" (_subops rel)) (print-next) (format t "supers: ~{~a~}" (_superops rel)) (print-next))) .op-lex-relation-table.)) (defun term-sub-operators (term) (declare (type term) (values list)) (let ((res nil)) (declare (type list res)) (when (term-is-application-form? term) (dolist (sub (term-subterms term)) (when (term-is-application-form? sub) (pushnew (term-head sub) res :test #'eq)))) res)) ;;; ADD-OP-TO-ORDER (defun add-op-to-order (op &optional (order .op-lex-relation-table.)) (declare (type method op) (type hash-table .op-lex-relation-table.)) (let ((ent (get-op-relation op order))) (unless ent (add-op-relation-to-order (make-op-relation op nil nil) order)))) ;;; ADD-OP-RELATION-TO-ORDER op-relation operator-relation-table ;;; adds the op-relation to operator-relation-table ;;; (defun gather-op-relations-from-order (relation &optional (order .op-lex-relation-table.)) (declare (type list relation) (type hash-table .op-lex-relation-table.) (values list)) (macrolet ((pushnew-relation (__?rel __?res) ` (pushnew ,__?rel ,__?res :test #'eq))) (let ((res nil) (op (op-relation-op relation)) (subs (_subops relation)) (sups (_superops relation))) (pushnew-relation (get-op-relation op order) res) (dolist (lops subs) (pushnew-relation (get-op-relation lops order) res)) (dolist (gops sups) (pushnew-relation (get-op-relation gops order) res)) res))) (defun add-op-relation-to-order (op-relation &optional (order .op-lex-relation-table.)) (let* ((op (op-relation-op op-relation)) (subs (_subops op-relation)) (supers (_superops op-relation))) (macrolet ((ls-union (_s _ls) ` (let ((..sl (get-op-relation ,_s order))) (pushnew ,_ls (_subops ..sl) :test #'eq))) (gs-union (_s _gs) ` (let ((..sl (get-op-relation ,_s order))) (pushnew ,_gs (_superops ..sl) :test #'eq)))) ;; merge new realtion (let ((o-op-rel (get-op-relation op order))) (if o-op-rel (progn (setf (_subops o-op-rel) (union subs (_subops o-op-rel) :test #'eq)) (setf (_superops o-op-rel) (union supers (_superops o-op-rel) :test #'eq))) (progn (setf (get-op-relation op order) op-relation) (setf o-op-rel op-relation subs (_subops op-relation) supers (_superops op-relation))))) ;; we must gather relations which can be affected by new relation, ;; then compute transitive relations among them. (let ((rels (gather-op-relations-from-order op-relation order))) (declare (type list rels)) (dolist (sl rels) (let ((nsubs (_subops sl)) (nsups (_superops sl))) (declare (type list nsubs nsups)) (dolist (s1 nsubs) (dolist (s2 nsups) (ls-union s2 s1) (gs-union s1 s2)))))) order))) ;;; MAKE-OP-REC-RELATIONS ;;; (defun make-op-prec-relations (module) (declare (type module module)) (clrhash .op-lex-relation-table.) (let ((axs (module-all-equations module)) (opinfos (module-all-operators module)) ;; (ordered nil) (num-ops 0) ) (declare (type fixnum num-ops)) (dolist (opinfo opinfos) (dolist (m (opinfo-methods opinfo)) (add-op-to-order m) (incf num-ops))) (dolist (ax axs) (block next (let ((lhs (axiom-lhs ax)) (rhs (axiom-rhs ax)) (cond (axiom-condition ax))) ;; (unless (and (is-true? cond) (term-is-application-form? rhs) (not (rule-is-builtin ax))) (return-from next nil)) ;; (let ((meth1 (term-head lhs)) ;; (meth2 (term-head rhs)) ;; (rhs-methods (term-sub-operators rhs)) (rhs-methods (term-operators rhs))) ;; (setq rhs-methods (delete meth1 rhs-methods)) ;; (let ((rel1 (make-op-relation meth1 rhs-methods))) (add-op-relation-to-order rel1)) (dolist (lower rhs-methods) (let ((rel2 (make-op-relation lower nil (list meth1)))) (add-op-relation-to-order rel2))) )))) ;; check cyclicity (let ((err-p nil)) (maphash #'(lambda (op op-relation) (when (memq op (_subops op-relation)) (with-output-chaos-warning () (princ "cycle in operator lexical ordering: ") (princ (method-name op))) (setq err-p t))) .op-lex-relation-table.) (when err-p (with-output-chaos-warning () (princ "failed to construct operator lexical orderings.")))) ;; (when *debug-op-relation* (dump-op-lex-relation-table)) ;; ;; ordered )) ;;; ;;; OPERATOR LEXICAL ORDERING (valued). ;;; (defvar .op-lex-prec-table. (make-hash-table :test #'eq)) (defun dump-op-lex-table () (let ((entries nil)) (maphash #'(lambda (x y) (push (cons x y) entries)) .op-lex-prec-table.) (setq entries (sort entries #'(lambda (x y) (< (cdr x) (cdr y))))) (dolist (e entries) (format t "~%meth ~s, prec = ~s" (car e) (cdr e))) )) (defun op-lex-compare (m1 m2) (declare (type method m1 m2) (values symbol)) (flet ((compare-lex (name1 name2) (declare (type list name1 name2)) (let ((n1 (reduce #'(lambda (x y) (concatenate 'string x y)) name1)) (n2 (reduce #'(lambda (x y) (concatenate 'string x y)) name2))) (declare (type simple-string n1 n2)) (if (string< n1 n2) :less (if (string= n1 n2) :same :greater))))) ;; (if (op-lex< m1 m2) :less (if (op-lex< m2 m1) :greater ;; (let* ((l1 (method-name m1)) (l2 (method-name m2)) (ar1 (cdr l1)) (ar2 (cdr l2))) (declare (type fixnum ar1 ar2) (type list l1 l2)) (if (< ar1 ar2) (if (= 0 ar1) :less ; m1 is constant (compare-lex (car l1) (car l2))) (if (= ar1 ar2) (compare-lex (car l1) (car l2)) ;; ar1 > ar2 (if (= 0 ar2) ; m2 is constant :greater (compare-lex (car l1) (car l2)))))) )))) ;;; METHOD-LEX-PREC ;;; (declaim (inline method-lex-prec)) (defun method-lex-prec (meth) (if (is-skolem meth) (gethash :skolem .op-lex-prec-table.) (gethash meth .op-lex-prec-table.))) (defsetf method-lex-prec (meth) (value) `(if (is-skolem ,meth) (setf (gethash :skolem .op-lex-prec-table.) ,value) (setf (gethash ,meth .op-lex-prec-table.) ,value))) ;;; ;;; ;;; (defun order-lex-op (m1 m2) (declare (type method m1 m2)) (labels ((compare-lex (name1 name2) (declare (type list name1 name2)) (let ((n1 (reduce #'(lambda (x y) (concatenate 'string x y)) name1)) (n2 (reduce #'(lambda (x y) (concatenate 'string x y)) name2))) (declare (type simple-string n1 n2)) (if (string< n1 n2) :less (if (string= n1 n2) :same :greater)))) (order-op () (let* ((l1 (method-name m1)) (l2 (method-name m2)) (ar1 (cdr l1)) (ar2 (cdr l2))) (declare (type fixnum ar1 ar2) (type list l1 l2)) (if (< ar1 ar2) (if (= 0 ar1) :less ; m1 is constant (compare-lex (car l1) (car l2))) (if (= ar1 ar2) (compare-lex (car l1) (car l2)) ;; ar1 > ar2 (if (= 0 ar2) ; m2 is constant :greater (compare-lex (car l1) (car l2)))))) )) ;; (let ((cmp (order-op))) (declare (type symbol cmp)) (if (eq cmp :less) t (if (eq cmp :greater) nil (sort< (method-coarity m1) (method-coarity m2) *current-sort-order*))))) ) (defun make-lexical-prec-table (module &optional (pre-ordered nil)) (declare (type module module) (type list pre-ordered)) (clrhash .op-lex-prec-table.) (let ((opinfos (module-all-operators module)) (mlist nil)) (with-in-module (module) (unless pre-ordered (setq pre-ordered '(:* :skolem))) (dolist (opinfo opinfos) (dolist (m (opinfo-methods opinfo)) (push m mlist))) (setq mlist (sort mlist #'order-lex-op)) ;; (do* ((i 1) (ml pre-ordered (cdr ml)) (meth (car ml) (car ml))) ((endp ml)) (declare (type fixnum i)) (cond ((eq meth :*) (do ((ml mlist (cdr ml))) ((null ml)) (unless (method-lex-prec (car ml)) (setf (method-lex-prec (car ml)) (the fixnum (* 2 i))) (incf i)))) (t (setf (method-lex-prec meth) (the fixnum (* 2 i))) (incf i))) )) ;; (when *debug-op-relation* (dump-op-lex-table)) )) ;;; ;;; MAKE-OP-LEX-PREC-TABLE ;;; (defun make-op-lex-prec-table (module) (clrhash .op-lex-relation-table.) (unless (module-op-lex module) (make-op-prec-relations module)) (make-lexical-prec-table module (module-op-lex module)) ) ;;; op-lex-precedence : op1 op2 -> {:greater, :less, :same, nil} ;;; #|| (defun op-lex-precedence (meth1 meth2) (declare (type method meth1 meth2) (values symbol)) (when (method-w= meth1 meth2) (return-from op-lex-precedence :same)) (if (and (method-is-constructor? meth1) (not (method-is-constructor? meth2))) :less (if (and (not (method-is-constructor? meth1)) (method-is-constructor? meth2)) :greater (if (op-lex-compare meth1 meth2) :less (if (op-lex-compare meth2 meth1) :greater (let ((p1 (method-lex-prec meth1)) (p2 (method-lex-prec meth2))) (declare (type fixnum p1 p2)) (if (> p1 p2) :greater (if (< p1 p2) :less :same))))))) ) ||# (defun op-lex-precedence (meth1 meth2) (declare (type method meth1 meth2) (values symbol)) (when (method-w= meth1 meth2) (return-from op-lex-precedence :same)) (if (and (method-is-constructor? meth1) (not (method-is-constructor? meth2))) :less (if (and (not (method-is-constructor? meth1)) (method-is-constructor? meth2)) :greater (op-lex-compare meth1 meth2)))) ;;; TERM-WEIGHT ;;; (defun term-weight (term) (declare (type term term) (values fixnum)) ;; must check answer also : TODO (cond ((term-is-variable? term) 1) ((term-is-lisp-form? term) 1) ((term-is-builtin-constant? term) 1) ((and (term-is-atom? term) (null (term-subterms term))) 1) (t (let ( #|| (max (if (term-is-atom? term) (pn-flag atom-wt-max-args) (pn-flag term-wt-max-args))) ||# (wt 0)) (declare (type fixnum wt)) (dolist (sub (term-subterms term)) (let ((w1 (term-weight sub))) (declare (type fixnum w1)) #|| (if max (when (> w1 wt) (setq wt w1)) (incf wt w1)) ||# (incf wt w1) )) (1+ wt))))) ;;; WEIGHT-LEX-ORDER : TERM1 TERM2 -> {:greater, :less, nil} ;;; (defun weight-lex-order (t1 t2) (declare (type term t1 t2)) (let ((i1 (term-weight t1)) (i2 (term-weight t2))) (declare (type fixnum i1 i2)) (if (> i1 i2) :greater (if (< i1 i2) :less (term-lex-order t1 t2))))) ;;; TERM-LEX-ORDER : TERM1 TERM2 -> {:greater, :less, nil} ;;; (defun term-lex-order (t1 t2) (declare (type term t1 t2)) (when (sort< (term-sort t1) (term-sort t2) *current-sort-order*) (return-from term-lex-order :less)) (when (sort< (term-sort t2) (term-sort t1) *current-sort-order*) (return-from term-lex-order :greater)) ;; ;; same sort ;; (cond ((term-is-variable? t1) (if (term-is-variable? t2) (if (variable-eq t1 t2) :same nil) ; incomparable (if (occurs-in t1 t2) :less nil))) ((term-is-variable? t2) (if (occurs-in t2 t1) :greater nil)) ;; ((term-is-application-form? t1) (if (term-is-application-form? t2) (if (method-is-of-same-operator (term-head t1) (term-head t2)) ;; same op (let ((ret-code :same)) (do ((t1-sub (term-subterms t1) (cdr t1-sub)) (t2-sub (term-subterms t2) (cdr t2-sub))) ((or (null t1-sub) (not (eq ret-code :same))) ret-code) (setq ret-code (term-lex-order (car t1-sub) (car t2-sub))))) ;; different op (op-lex-precedence (term-head t1) (term-head t2))) )) ((term-is-application-form? t2) :less) (t :greater) )) (defun term-lex-order-vars (t1 t2) (declare (type term t1 t2)) (when (sort< (term-sort t1) (term-sort t2) *current-sort-order*) (return-from term-lex-order-vars :less)) (when (sort< (term-sort t2) (term-sort t1) *current-sort-order*) (return-from term-lex-order-vars :greater)) ;; same sort (if (term-is-variable? t1) (if (term-is-variable? t2) (if (variable-eq t1 t2) :same ;; NOTE*!! (let ((vn1 (variable-name t1)) (vn2 (variable-name t2))) (if (< vn2 vn1) :greater :less))) :less) (if (term-is-variable? t2) :greater (if (term-is-application-form? t1) (if (term-is-application-form? t2) (if (method-is-of-same-operator (term-head t1) (term-head t2)) ;; same op (let ((ret-code :same)) (do ((t1-sub (term-subterms t1) (cdr t1-sub)) (t2-sub (term-subterms t2) (cdr t2-sub))) ((or (null t1-sub) (not (eq ret-code :same))) ret-code) (setq ret-code (term-lex-order-vars (car t1-sub) (car t2-sub))) )) ;; different op (op-lex-precedence (term-head t1) (term-head t2))) :greater) :less)))) ;;; LEX-CHECK : t1 t2 -> Bool ;;; (defun lex-check (term1 term2) (declare (type term term1 term2) (inline term-lex-order-vars) (inline term-lex-order)) (if (pn-flag lex-order-vars) (term-lex-order-vars term1 term2) (term-lex-order term1 term2))) ;;; ORDER-EQUALITIES : CLAUSE -> CLAUSE' ;;; for each equality literal (po or neg), flip args if the ;;; right side is heavier. after possible flip, if the left ;;; side is heavier, set the `oriented-eq-bit' in the atom. ;;; if the atom is flipped, set scratch bit ;;; (defun order-literal (lit input?) (let* ((eq (literal-atom lit)) (alpha (term-arg-1 eq)) (beta (term-arg-2 eq))) (declare (type term eq alpha beta)) (and (not (term-is-identical alpha beta)) (let ((alpha-bigger nil) (beta-bigger nil)) #|| (if (and (pn-flag symbol-elim) (sym-elim alpha beta)) (setq alpha-bigger t) (if (and (pn-flag symbol-elim) (sym-elim beta alpha)) (setq beta-bigger t) (if (term-occurs-in beta alpha) (setq alpha-bigger t) (if (term-occurs-in alpha beta) (setq beta-bigger t) (let ((rc (weight-lex-order alpha beta))) (if (eq rc :greater) (setq alpha-bigger t) (if (eq rc :less) (setq beta-bigger t)))))))) ||# (if (or input? (term-occurs-in beta alpha)) (setq alpha-bigger t) (if (term-occurs-in alpha beta) (setq beta-bigger t) (let ((rc (weight-lex-order alpha beta))) (if (eq rc :greater) (setq alpha-bigger t) (if (eq rc :less) (setq beta-bigger t)))))) ;; (when (or alpha-bigger beta-bigger) (when beta-bigger (let ((new-atom (make-term-with-sort-check *fopl-eq* (list beta alpha)))) (declare (type term new-atom)) (setf (literal-atom lit) new-atom) (set-bit (literal-stat-bits lit) scratch-bit))) (set-bit (literal-stat-bits lit) oriented-eq-bit)) )))) (defun order-equalities (clause &optional input) (declare (type clause clause) (inline order-literal)) (dolist (lit (clause-literals clause)) (when (eq-literal? lit) (order-literal lit input)))) ;;; sym-elim : a b -> bool ;;; true if a is complex, all args of a are unique vars, ;;; functor of a doesn't occur in b, and subset(vars(b), vars(a)). ;;; (if true, a = b can be made into a symbol-eliminatig demodulator). ;;; (defun sym-elim (alpha beta) (declare (type term alpha beta)) (cond ((or (term-is-variable? alpha) (term-is-builtin-constant? alpha) (term-is-lisp-form? alpha)) (return-from sym-elim nil)) (t (return-from sym-elim (and (operator-occurs-in (term-head alpha) beta) (var-subset beta alpha)))))) ;;; VAR-SUBSET : TERM1 TERM2 -> Bool ;;; t iff vars(t1) is a subset of vars(t2). ;;; (defun var-subset (t1 t2) (declare (type term t1 t2)) (let ((v1 (term-variables t1)) (v2 (term-variables t2))) (declare (type list v1 v2)) (subsetp v1 v2))) ;;; TERM-IDENT-X-VARS : Term1 Term2 -> Bool ;;; (defun term-ident-x-vars (t1 t2) (declare (type term t1 t2)) (or (term-eq t1 t2) (and (term-type-eq t1 t2) (cond ((term-is-variable? t1) t) ((term-is-application-form? t1) (if (method-w= (term-head t1) (term-head t2)) (let ((subs1 (term-subterms t1)) (subs2 (term-subterms t2))) (loop (when (null subs1) (return t)) (unless (term-ident-x-vars (car subs1) (car subs2)) (return nil)) (setq subs1 (cdr subs1) subs2 (cdr subs2)))) nil)) ((term-is-builtin-constant? t1) (term-builtin-equal t1 t2)) ((term-is-lisp-form? t1) (and (term-is-lisp-form? t2) (equal (lisp-form-original-form t1) (lisp-form-original-form t2)))) (t nil))))) ;;; EOF cafeobj-1.5.4/BigPink/ifip/0000755000000000000000000000000012573744463014101 5ustar rootrootcafeobj-1.5.4/BigPink/ifip/3bakery.mod0000644000000000000000000001071012573744463016141 0ustar rootroot-- the natural numbers mod! NATNUM { ** protecting(FOPL-CLAUSE) [ NatNum ] op 0 : -> NatNum op s : NatNum -> NatNum pred _<_ : NatNum NatNum vars M N : NatNum ax ~(s(M) < M) . ax [SOS1]: ~(s(M) = 0) . ax [SOS]: M < s(M) . ax [SOS]: 0 < s(M) . ax ~(s(M) = M) . ax [SOS]: M = 0 | 0 < M . ax ~(0 < M)| ~(M = 0) . ax ~(M = N & M < N) . ax ~(M < N & N < M) . ax ~(M < 0) . } -- the program counters mod! STATUS { protecting(FOPL-CLAUSE) [ Status ] ops non-CS wait CS : -> Status var S : Status } -- customers mod* CUSTOMER1 { protecting(NATNUM + STATUS) *[ Customer1 ]* op init1 : -> Customer1 -- attributes bop ticket1 : Customer1 -> NatNum bop stat1 : Customer1 -> Status -- methods bop run1 : Customer1 NatNum -> Customer1 vars C C1 : Customer1 vars M N : NatNum eq stat1(init1) = non-CS . eq ticket1(init1) = 0 . ax stat1(C) = non-CS -> stat1(run1(C,M))= wait . ax stat1(run1(C,M))= wait -> stat1(C) = non-CS | stat1(C) = wait . ax stat1(C) = non-CS -> ticket1(run1(C,M)) = s(M) . ax stat1(C) = wait & (M = 0 | ~(M < ticket1(C))) -> stat1(run1(C,M)) = CS . ax stat1(run1(C,M)) = CS -> stat1(C) = wait . ax stat1(C) = wait & ~(M = 0) & M < ticket1(C) -> stat1(run1(C,M)) = wait . ax stat1(C) = wait -> ticket1(run1(C,M)) = ticket1(C) . ax (stat1(C) = CS) = (stat1(run1(C,M)) = non-CS) . ax stat1(C) = CS -> ticket1(run1(C,M)) = 0 . } mod* CUSTOMER2 { protecting(NATNUM + STATUS) *[ Customer2 ]* op init2 : -> Customer2 -- attributes bop ticket2 : Customer2 -> NatNum bop stat2 : Customer2 -> Status -- methods bop run2 : Customer2 NatNum -> Customer2 vars C C1 : Customer2 var M : NatNum eq stat2(init2) = non-CS . eq ticket2(init2) = 0 . ax stat2(C) = non-CS -> stat2(run2(C,M))= wait . ax stat2(run2(C,M))= wait -> stat2(C) = non-CS | stat2(C) = wait . ax stat2(C) = non-CS -> ticket2(run2(C,M)) = s(M) . ax stat2(C) = wait & (M = 0 | ticket2(C) < M) -> stat2(run2(C,M)) = CS . ax stat2(run2(C,M)) = CS -> stat2(C) = wait . ax stat2(C) = wait & ~(M = 0) & ~(ticket2(C) < M) -> stat2(run2(C,M)) = wait . ax stat2(C) = wait -> ticket2(run2(C,M)) = ticket2(C) . ax (stat2(C) = CS) = (stat2(run2(C,M)) = non-CS) . ax stat2(C) = CS -> ticket2(run2(C,M)) = 0 . } -- bakery algorithm mod* SHOP { protecting(CUSTOMER1 + CUSTOMER2) *[ Shop ]* op shop : Customer1 Customer2 -> Shop { coherent } bop Run1 : Shop -> Shop bop Run2 : Shop -> Shop -- bop Run : Shop -> Shop bop Stat1 : Shop -> Status bop Stat2 : Shop -> Status bop Ticket1 : Shop -> NatNum bop Ticket2 : Shop -> NatNum op Init : -> Shop vars C1 D1 : Customer1 vars C2 D2 : Customer2 var S : Shop eq Init = shop(init1,init2) . beq Run1(shop(C1,C2)) = shop(run1(C1,ticket2(C2)),C2) . beq Run2(shop(C1,C2)) = shop(C1,run2(C2,ticket1(C1))) . -- beq Run(shop(C1,C2)) = shop(run1(C1,ticket2(C2)),run2(C2,ticket1(C1))) . eq Stat1(shop(C1,C2)) = stat1(C1) . eq Stat2(shop(C1,C2)) = stat2(C2) . eq Ticket1(shop(C1,C2)) = ticket1(C1) . eq Ticket2(shop(C1,C2)) = ticket2(C2) . } mod* PROOF { protecting(SHOP) op c1 : -> Customer1 . op c2 : -> Customer2 . pred P : Shop . #define P(S:Shop) ::= ~(Stat1(S) = CS & Stat2(S) = CS) . } option reset -- flag(auto3,on) flag(process-input, on) -- flag(print-kept, off) -- flag(print-new-demod, off) -- flag(print-back-demod, off) -- flag(print-back-sub, off) flag(control-memory, on) param(max-sos, 250) param(pick-given-ratio, 4) param(stats-level, 1) -- param(max-seconds, 86400) flag(kb2, on) -- flag(para-from, off) -- flag(para-into, on) -- flag(para-from-right, off) -- flag(para-into-right, off) -- flag(para-from-vars, off) -- flag(eq-units-both-ways, on) -- flag(dynamic-demod-all, on) -- flag(dynamic-demod, on) -- flag(order-eq, on) -- flag(back-demod, on) -- flag(lrpo, on) flag(back-unit-deletion, on) -- param(control-memory-point,100) flag(hyper-res, on) flag(unit-deletion, on) flag(factor, on) -- flag(meta-paramod, on) flag(prop-res, on) -- flag(neg-hyper-res, on) -- flag(order-hyper, on) -- flag(binary-res, on) -- flag(no-new-demod, on) -- flag(para-into-vars, on) flag(universal-symmetry,on) flag(dist-const,on) flag(quiet,on) flag(print-proofs,off) flag(print-stats,on) param(max-proofs,1) param(max-given,87) param(max-seconds,3) -- flag(randomize-sos,off) flag(input-sos-first,on) open PROOF . -- db reset -- lex(*,SKOLEM) lex(*, Init,Run1,Run2,Stat1,Stat2,Ticket1,Ticket2, SKOLEM) sos = { :SYSTEM-GOAL } check inv P of shop(c1,c2) from Init close ** eof cafeobj-1.5.4/BigPink/ifip/Ebakery.mod0000644000000000000000000001127412573744463016171 0ustar rootroot-- ------------------------------------------------------------------------ -- (Ebakery.mod) -- ----------------------------------------------------------------------- -- the natural numbers mod! NATNUM { protecting(FOPL-CLAUSE) [ NatNum ] op 0 : -> NatNum op s : NatNum -> NatNum pred _<_ : NatNum NatNum -- { meta-demod } vars M N : NatNum ax ~(s(M) < M) . ax ~(s(M) = 0) . ax [SOS]: M < s(M) . ax [SOS]: 0 < s(M) . ax ~(s(M) = M) . ax [SOS]: M = 0 | 0 < M . ax ~(0 < M)| ~(M = 0) . ax ~(M = N & M < N) . ax ~(M < N & N < M) . ax ~(M < 0) . -- ax (s(M) = s(N)) = (M = N) . -- ax (s(M) < s(N)) = (M < N) . ax M = M . } -- the program counters mod! STATUS { protecting(FOPL-CLAUSE) [ Status ] ops non-CS wait CS error : -> Status var S : Status -- ax (non-CS = please) = false . -- ax (please = non-CS) = false . -- ax (non-CS = wait) = false . -- ax (wait = non-CS) = false . -- ax (non-CS = CS) = false . -- ax (CS = non-CS) = false . -- ax (please = wait) = false . -- ax (wait = please) = false . -- ax (please = CS) = false . -- ax (CS = please) = false . -- ax (wait = CS) = false . -- ax (CS = wait) = false . -- ax ~(S = non-CS) | ~(S = please) . -- ax ~(S = non-CS) | ~(S = wait) . -- ax ~(S = non-CS) | ~(S = CS) . -- ax ~(S = please) | ~(S = wait) . -- ax ~(S = please) | ~(S = CS) . -- ax ~(S = wait) | ~(S = CS) . ax (S = S) = true . } -- customers mod* CUSTOMER1 { protecting(NATNUM + STATUS) *[ Customer1 ]* op init1 : -> Customer1 -- attributes bop ticket1 : Customer1 -> NatNum bop stat1 : Customer1 -> Status -- methods bop run1 : Customer1 NatNum -> Customer1 vars C C1 : Customer1 vars M N : NatNum eq stat1(init1) = non-CS . eq ticket1(init1) = 0 . ax stat1(C) = non-CS -> stat1(run1(C,M))= wait . ax stat1(run1(C,M))= wait -> stat1(C) = non-CS . ax stat1(C) = non-CS -> ticket1(run1(C,M)) = s(M) . ax stat1(C) = wait & (M = 0 | ~(M < ticket1(C))) -> stat1(run1(C,M)) = CS . ax stat1(run1(C,M)) = CS -> stat1(C) = wait . ax stat1(C) = wait & ~(M = 0) & M < ticket1(C) -> stat1(run1(C,M)) = error . ax stat1(run1(C,M)) = error -> stat1(C) = wait . ax stat1(C) = wait -> ticket1(run1(C,M)) = ticket1(C) . ax (stat1(C) = CS) = (stat1(run1(C,M)) = non-CS) . ax stat1(C) = CS -> ticket1(run1(C,M)) = 0 . } mod* CUSTOMER2 { protecting(NATNUM + STATUS) *[ Customer2 ]* op init2 : -> Customer2 -- attributes bop ticket2 : Customer2 -> NatNum bop stat2 : Customer2 -> Status -- methods bop run2 : Customer2 NatNum -> Customer2 vars C C1 : Customer2 var M : NatNum eq stat2(init2) = non-CS . eq ticket2(init2) = 0 . ax stat2(C) = non-CS -> stat2(run2(C,M))= wait . ax stat2(run2(C,M))= wait -> stat2(C) = non-CS . ax stat2(C) = non-CS -> ticket2(run2(C,M)) = s(M) . ax stat2(C) = wait & (M = 0 | ticket2(C) < M) -> stat2(run2(C,M)) = CS . ax stat2(run2(C,M)) = CS -> stat2(C) = wait . ax stat2(C) = wait & ~(M = 0) & ~(ticket2(C) < M) -> stat2(run2(C,M)) = error . ax stat2(run2(C,M)) = error -> stat2(C) = wait . ax stat2(C) = wait -> ticket2(run2(C,M)) = ticket2(C) . ax (stat2(C) = CS) = (stat2(run2(C,M)) = non-CS) . ax stat2(C) = CS -> ticket2(run2(C,M)) = 0 . } -- bakery algorithm mod* SHOP { protecting(CUSTOMER1 + CUSTOMER2) *[ Shop ]* op shop : Customer1 Customer2 -> Shop { coherent } bop Run1 : Shop -> Shop bop Run2 : Shop -> Shop -- bop Run : Shop -> Shop bop Stat1 : Shop -> Status bop Stat2 : Shop -> Status bop Ticket1 : Shop -> NatNum bop Ticket2 : Shop -> NatNum op Init : -> Shop vars C1 D1 : Customer1 vars C2 D2 : Customer2 var S : Shop var B : Bool ax B = B . eq Init = shop(init1,init2) . beq Run1(shop(C1,C2)) = shop(run1(C1,ticket2(C2)),C2) . beq Run2(shop(C1,C2)) = shop(C1,run2(C2,ticket1(C1))) . -- beq Run(shop(C1,C2)) = shop(run1(C1,ticket2(C2)),run2(C2,ticket1(C1))) . eq Stat1(shop(C1,C2)) = stat1(C1) . eq Stat2(shop(C1,C2)) = stat2(C2) . eq Ticket1(shop(C1,C2)) = ticket1(C1) . eq Ticket2(shop(C1,C2)) = ticket2(C2) . } mod* PROOF { protecting(SHOP) op c1 : -> Customer1 . op c2 : -> Customer2 . pred P : Shop . #define P(S:Shop) ::= ~(Stat1(S) = CS & Stat2(S) = CS) . } option reset flag(kb2, on) flag(back-unit-deletion, on) flag(hyper-res, on) flag(prop-res,off) flag(unit-deletion, on) flag(factor, on) flag(universal-symmetry,off) flag(dist-const,on) flag(input-sos-first,on) flag(quiet,on) flag(print-stats,on) param(stats-level, 1) param(max-proofs,1) param(pick-given-ratio,4) -- param(max-given,46) -- param(max-seconds,2) open PROOF . db reset -- sos = { SOS :SYSTEM-GOAL } sos = { :SYSTEM-GOAL } check inv P of shop(c1,c2) from Init close ** eof ** $Id: Ebakery.mod,v 1.2 2003-11-04 03:11:26 sawada Exp $ cafeobj-1.5.4/BigPink/ifip/bank.mod0000644000000000000000000000273012573744463015517 0ustar rootroot**> **> モデル検査正常終了ã®ã‚±ãƒ¼ã‚¹-1 **> **> 整数： mod! INT* { [ Int ] op 0 : -> Int op _+_ : Int Int -> Int op _-_ : Int Int -> Int pred _<=_ : Int Int vars M N : Int ax M <= M . ax 0 <= M & 0 <= N -> 0 <= M + N . ax M <= N -> 0 <= N - M . } **> å£åº§ã®ä»•æ§˜ mod* ACCOUNT { protecting(INT*) signature { *[ Account ]* -- æ–°è¦å£åº§(åˆæœŸçŠ¶æ…‹) op new-account : -> Account -- æ®‹é«˜ç…§åˆ bop balance : Account -> Int -- é ã‘入れ bop deposit : Int Account -> Account -- 引ã出㗠bop withdraw : Int Account -> Account } axioms { var A : Account vars M N : Int ** ------------------------------------------------------------ ax balance(new-account) = 0 . ax 0 <= N -> balance(deposit(N,A)) = balance(A) + N . ax ~(0 <= N) -> balance(deposit(N,A)) = balance(A) . ax N <= balance(A) -> balance(withdraw(N,A)) = balance(A) - N . ax ~(N <= balance(A)) -> balance(withdraw(N,A)) = balance(A) . } } **> ACCOUNT ã«é–¢ã™ã‚‹ãƒ¢ãƒ‡ãƒ«æ¤œæŸ»ã®ãŸã‚ã®ãƒ¢ã‚¸ãƒ¥ãƒ¼ãƒ« **> ä¿è¨¼ã—ãŸã„性質を, 述語 P ã§è¡¨ç¾. mod* PROOF { protecting(ACCOUNT) pred P : Account . #define P(A:Account) ::= 0 <= balance(A) . } option reset flag(quiet,on) flag(hyper-res,on) flag(unit-deletion,on) flag(factor,on) flag(kb2,on) flag(universal-symmetry,on) flag(print-stats,on) flag(print-proofs,on) open PROOF . sos = { :SYSTEM-GOAL } check safety P from new-account close cafeobj-1.5.4/BigPink/ifip/cache.mod0000644000000000000000000000573512573744463015657 0ustar rootroot** -------------------------------------------------------------------------- ** cache.mod ** -------------------------------------------------------------------------- -- cache coherence problem by A.Mori -- as of 13 Aug 2000 set include FOPL-CLAUSE on module* DATA { [ Index Data ] } module! FLAG { [ Flag ] ops invalid vex dirty shared : -> Flag -- vex stand for valid-exclusive ax F:Flag = invalid | F = vex | F = shared | F = dirty . ax ~(invalid = vex). ax ~(invalid = dirty). ax ~(invalid = shared). ax ~(shared = vex). ax ~(shared = dirty). ax ~(dirty = vex). } module* PROTOCOL { protecting(DATA + FLAG) *[ Protocol ]* bop flag : Index Protocol -> Flag -- cache state bop cdata : Index Protocol -> Data -- cache value bop mdata : Protocol -> Data -- memory value bop read : Index Protocol -> Protocol bop write : Index Data Protocol -> Protocol op init : -> Protocol vars I J K : Index vars M N : Data var P : Protocol ** initial state eq flag(I, init) = invalid . ** write hit eq cdata(I, write(I,M,P)) = M . ceq cdata(J,write(I,M,P)) = cdata(J,P) if not(I == J). eq flag(J, write(J,M,P)) = dirty . ** invalidation ceq flag(J, write(I,M,P)) = invalid if not(I == J). eq mdata(write(I,M,P)) = mdata(P). ** read hit bceq read(I,P) = P if not(flag(I,P) == invalid). -- if there is a dirty copy Cj then eq cdata(I, read(I, write(J,M,P))) = M . -- Cj provides the missig block. eq mdata(read(I, write(J,M,P))) = mdata(P). ceq flag(I,read(I,write(J,M,P))) = shared if not(I == J). ceq flag(J,read(I,write(J,M,P))) = shared if not(I == J). -- if there is a clean copy Cj then ceq cdata(I,read(I,read(J,P))) = cdata(J,read(J,P)) if not(I == J). -- Cj provides the missing block ceq flag(I,read(I,read(J,P))) = shared if not(I == J). ceq flag(J,read(I,read(J,P))) = shared if not(I == J). -- and both end up shared ** independence beq read(I,read(I,P)) = read(I,P). ceq flag(I,read(J,read(K,P))) = flag(I, read(K,P)) if not(I == J) and not(I == K). ceq cdata(I,read(J,P)) = cdata(I,P) if not(I == J). eq mdata(read(I,P)) = mdata(P). ** if there is no cached copy (i.e., only in initial state) eq cdata(I,read(I,init)) = mdata(init). eq flag(I,read(I,init)) = vex . eq mdata(read(I,init)) = mdata(init). } module PROOF { protecting (PROTOCOL) pred P : Protocol . #define P(X:Protocol) ::= \A[I:Index, J:Index] flag(I,X) = shared & flag(J,X) = shared -> cdata(I,X) = cdata(J,X). op p : -> Protocol -- goal [GOAL]: P(p) . -- goal [GOAL]: P(init) . -- goal [GOAL]: \A[I:Index] P(read(I,p)) . -- goal [GOAL]: \A[I:Index,M:Data] P(write(I,M,p)) . } option reset flag(quiet,on) flag(hyper-res,on) flag(unit-deletion,on) flag(factor,on) flag(kb2,on) flag(universal-symmetry,on) flag(dist-const,off) flag(print-stats,on) flag(print-proofs,on) select PROOF sos = { :SYSTEM-GOAL } check safety P of p from init . ** eof ** $Id: cache.mod,v 1.2 2003-11-04 03:11:26 sawada Exp $ cafeobj-1.5.4/BigPink/ifip/error.mod0000644000000000000000000000761512573744463015744 0ustar rootroot** ** error.mod ** set include FOPL-CLAUSE on -- the natural numbers mod! NATNUM { [ NatNum ] op 0 : -> NatNum op s : NatNum -> NatNum pred _<_ : NatNum NatNum vars M N : NatNum ax ~(s(M) < M) . ax ~(s(M) = 0) . ax [SOS]: M < s(M) . ax [SOS]: 0 < s(M) . ax ~(s(M) = M) . ax [SOS]: M = 0 | 0 < M . ax ~(0 < M)| ~(M = 0) . ax ~(M = N & M < N) . ax ~(M < N & N < M) . ax ~(M < 0) . ax M = M . } -- the program counters mod! STATUS { [ Status ] ops non-CS wait CS : -> Status var S : Status ax (S = S) = true . } -- customers mod* CUSTOMER1 { protecting(NATNUM + STATUS) *[ Customer1 ]* op init1 : -> Customer1 -- attributes bop ticket1 : Customer1 -> NatNum bop stat1 : Customer1 -> Status -- methods bop run1 : Customer1 NatNum -> Customer1 vars C C1 : Customer1 vars M N : NatNum eq stat1(init1) = non-CS . eq ticket1(init1) = 0 . ax stat1(C) = non-CS -> stat1(run1(C,M))= wait . ax stat1(run1(C,M))= wait -> stat1(C) = non-CS | stat1(C) = wait . ax stat1(C) = non-CS -> ticket1(run1(C,M)) = s(M) . ax stat1(C) = wait & (M = 0 | ~(M < ticket1(C))) -> stat1(run1(C,M)) = CS . ax stat1(run1(C,M)) = CS -> stat1(C) = wait . ax stat1(C) = wait & ~(M = 0) & M < ticket1(C) -> stat1(run1(C,M)) = wait . ax stat1(C) = wait -> ticket1(run1(C,M)) = ticket1(C) . ax (stat1(C) = CS) = (stat1(run1(C,M)) = non-CS) . ax stat1(C) = CS -> ticket1(run1(C,M)) = 0 . } mod* CUSTOMER2 { protecting(NATNUM + STATUS) *[ Customer2 ]* op init2 : -> Customer2 -- attributes bop ticket2 : Customer2 -> NatNum bop stat2 : Customer2 -> Status -- methods bop run2 : Customer2 NatNum -> Customer2 vars C C1 : Customer2 var M : NatNum eq stat2(init2) = non-CS . eq ticket2(init2) = 0 . ax stat2(C) = non-CS -> stat2(run2(C,M))= wait . ax stat2(run2(C,M))= wait -> stat2(C) = non-CS | stat2(C) = wait . ax stat2(C) = non-CS -> ticket2(run2(C,M)) = s(M) . ax stat2(C) = wait & (M = 0 | ~(M < ticket2(C))) -> stat2(run2(C,M)) = CS . ax stat2(run2(C,M)) = CS -> stat2(C) = wait . ax stat2(C) = wait & ~(M = 0) & M < ticket2(C) -> stat2(run2(C,M)) = wait . ax stat2(C) = wait -> ticket2(run2(C,M)) = ticket2(C) . ax (stat2(C) = CS) = (stat2(run2(C,M)) = non-CS) . ax stat2(C) = CS -> ticket2(run2(C,M)) = 0 . } -- bakery algorithm mod* SHOP { protecting(CUSTOMER1 + CUSTOMER2) *[ Shop ]* op shop : Customer1 Customer2 -> Shop { coherent } bop Run1 : Shop -> Shop bop Run2 : Shop -> Shop ** bop Run : Shop -> Shop ** bop Stat1 : Shop -> Status bop Stat2 : Shop -> Status bop Ticket1 : Shop -> NatNum bop Ticket2 : Shop -> NatNum op Init : -> Shop vars C1 D1 : Customer1 vars C2 D2 : Customer2 var S : Shop var B : Bool ax B = B . eq Init = shop(init1,init2) . beq Run1(shop(C1,C2)) = shop(run1(C1,ticket2(C2)),C2) . beq Run2(shop(C1,C2)) = shop(C1,run2(C2,ticket1(C1))) . beq Run(shop(C1,C2)) = shop(run1(C1,ticket2(C2)),run2(C2,ticket1(C1))) . eq Stat1(shop(C1,C2)) = stat1(C1) . eq Stat2(shop(C1,C2)) = stat2(C2) . eq Ticket1(shop(C1,C2)) = ticket1(C1) . eq Ticket2(shop(C1,C2)) = ticket2(C2) . } mod* PROOF { protecting(SHOP) op c1 : -> Customer1 . op c2 : -> Customer2 . pred P : Shop . #define P(S:Shop) ::= ~(Stat1(S) = CS & Stat2(S) = CS) . } option reset flag(process-input, on) flag(print-kept, off) flag(print-new-demod, off) flag(print-back-demod, off) flag(print-back-sub, off) flag(control-memory, on) param(max-sos, 500) param(pick-given-ratio, 4) param(stats-level, 1) flag(kb2, on) flag(back-unit-deletion, on) flag(hyper-res, on) flag(unit-deletion, on) flag(factor, on) flag(universal-symmetry,off) flag(dist-const,on) flag(quiet,on) ** flag(print-proofs,on) flag(print-stats,on) ** param(max-proofs,1) param(max-given,36) param(max-seconds,1) flag(input-sos-first,on) flag(put-goal-in-sos,on) open PROOF . db reset sos = { SOS :SYSTEM-GOAL } check safety P of shop(c1,c2) from Init close ** eof cafeobj-1.5.4/BigPink/ifip/nat.mod0000644000000000000000000000430212573744463015363 0ustar rootroot** -------------------------------------------------------------------- ** nat.mod ** -------------------------------------------------------------------- mod* STREAM[X :: TRIV] { signature { *[ Stream ]* bop head : Stream -> Elt bop tail : Stream -> Stream op _#_ : Elt Stream -> Stream { coherent } } axioms { var E : Elt var S : Stream eq head(E # S) = E . eq tail(E # S) = S . } } -- unprotect NAT . mod! NAT* { signature { [ Nat ] op 0 : -> Nat op s : Nat -> Nat } } mod* NAT-STREAM { imports { protecting(STREAM(NAT*)) } signature { ops nat nat' : Nat -> Stream op succ : Stream -> Stream } axioms { var N : Nat var S : Stream eq head(nat(N)) = N . beq tail(nat(N)) = nat(s(N)) . eq head(succ(S)) = s(head(S)) . beq tail(succ(S)) = succ(tail(S)) . eq head(nat'(N)) = N . beq tail(nat'(N)) = succ(nat'(N)) . } } mod PROOF { imports { protecting(NAT-STREAM) } signature { pred R : Stream Stream } axioms { -- reflexive, symmetric, transitive closure ax \A[S:Stream] R(S,S) . ax \A[S:Stream,T:Stream] R(S,T) -> R(T,S) . ax \A[S:Stream,T:Stream,U:Stream] R(S,T) & R(T,U) -> R(S,U) . -- closure by coherent operators ax \A[S:Stream,T:Stream] R(S,T) -> R(succ(S),succ(T)) . ax \A[N:Nat] R(nat(N),nat'(N)) . ax \A[N:Nat] R(tail(nat(N)),tail(nat'(N))) . -- goal [GOAL]: \A[N:Nat] R(tail(tail(nat(N))),tail(tail(nat'(N)))) . -- ok -- to check R is included in =*= -- goal [GOAL]: \A[S:Stream,T:Stream] R(S,T) -> head(S) = head(T) . -- ng goal [GOAL]: R(S:Stream,T:Stream) -> head(S) = head(T) . -- ok!!??? } } option reset flag(process-input,on) flag(print-kept,off) flag(print-new-demod,off) flag(print-back-demod,on) flag(print-back-sub,off) flag(control-memory,on) param(max-sos,500) param(pick-given-ratio,4) param(stats-level,1) param(max-seconds,86400) flag(kb2,on) flag(hyper-res,on) flag(binary-res,on) flag(unit-deletion,on) flag(factor,on) flag(universal-symmetry,on) flag(input-sos-first,on) flag(print-stats,on) param(max-proofs,1) open PROOF . db reset sos = { GOAL } resolve . close ** eof ** $Id: nat.mod,v 1.2 2003-11-04 03:11:26 sawada Exp $ cafeobj-1.5.4/cafeobj/0000755000000000000000000000000012611604544013204 5ustar rootrootcafeobj-1.5.4/cafeobj/cafeobj-eval.lisp0000644000000000000000000000630512605345045016420 0ustar rootroot;;;-*- Mode:LISP; Package:CHAOS; Base:10; Syntax:Common-lisp -*- ;;; ;;; Copyright (c) 2000-2015, Toshimi Sawada. All rights reserved. ;;; ;;; Redistribution and use in source and binary forms, with or without ;;; modification, are permitted provided that the following conditions ;;; are met: ;;; ;;; * Redistributions of source code must retain the above copyright ;;; notice, this list of conditions and the following disclaimer. ;;; ;;; * Redistributions in binary form must reproduce the above ;;; copyright notice, this list of conditions and the following ;;; disclaimer in the documentation and/or other materials ;;; provided with the distribution. ;;; ;;; THIS SOFTWARE IS PROVIDED BY THE AUTHOR 'AS IS' AND ANY EXPRESSED ;;; OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED ;;; WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ;;; ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY ;;; DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL ;;; DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE ;;; GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS ;;; INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, ;;; WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING ;;; NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS ;;; SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. ;;; (in-package :chaos) #|============================================================================== System: CHAOS Module: cafeobj File: cafeobj-eval.lisp ==============================================================================|# #-:chaos-debug (declaim (optimize (speed 3) (safety 0) #-GCL (debug 0))) #+:chaos-debug (declaim (optimize (speed 1) (safety 3) #-GCL (debug 3))) ;;;== DESCRIPTION ============================================================== ;;; CafeOBJ top level command processors. ;;; ;;; MODULE DECLARATION ;;; (defun cafeobj-eval-module (input) (declare (type list input) ;; (values t) ) (let ((ast (process-module-declaration-form input))) (eval-ast ast))) ;;; VIEW DECLARATION ;;; (defun cafeobj-eval-view (input) (declare (type list input) (values t)) (let ((ast (process-view-declaration-form input))) (eval-ast ast) )) ;;; REDUCE/EXEC TERM ;;; (defun cafeobj-perform-reduction (input) (declare (type list input) (values t)) (let ((ast (process-reduce-command input))) (eval-ast ast))) (defun cafeobj-perform-exec (input) (declare (type list input) (values t)) (let ((ast (process-exec-command input))) (eval-ast ast))) (defun cafeobj-perform-exec+ (input) (declare (type list input) (values t)) (let ((ast (process-exec+-command input))) (eval-ast ast))) ;;; TEST REDUCTION (defun cafeobj-test-reduction (input) (declare (type list input) (values t)) (let ((ast (process-test-reduction input))) (eval-ast ast))) ;;; PARSE TERM (defun cafeobj-parse-term (input) (declare (type list) (values t)) (let ((ast (process-parse-command input))) (eval-ast ast))) ;;; EOF cafeobj-1.5.4/cafeobj/cafeobj-top.lisp0000644000000000000000000002315112605345045016271 0ustar rootroot;;;-*- Mode:LISP; Package:CHAOS; Base:10; Syntax:Common-lisp -*- ;;; ;;; Copyright (c) 2000-2015, Toshimi Sawada. All rights reserved. ;;; ;;; Redistribution and use in source and binary forms, with or without ;;; modification, are permitted provided that the following conditions ;;; are met: ;;; ;;; * Redistributions of source code must retain the above copyright ;;; notice, this list of conditions and the following disclaimer. ;;; ;;; * Redistributions in binary form must reproduce the above ;;; copyright notice, this list of conditions and the following ;;; disclaimer in the documentation and/or other materials ;;; provided with the distribution. ;;; ;;; THIS SOFTWARE IS PROVIDED BY THE AUTHOR 'AS IS' AND ANY EXPRESSED ;;; OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED ;;; WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ;;; ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY ;;; DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL ;;; DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE ;;; GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS ;;; INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, ;;; WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING ;;; NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS ;;; SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. ;;; (in-package :chaos) #|============================================================================== System: CHAOS Module: cafeobj File: top.lisp ==============================================================================|# #-:chaos-debug (declaim (optimize (speed 3) (safety 0) #-GCL (debug 0))) #+:chaos-debug (declaim (optimize (speed 1) (safety 3) #-GCL (debug 3))) ;;;***************************************************************************** ;;; CafeOBJ Top Level ;;;***************************************************************************** ;;;============================================================================= ;;; Control Flags & Values for top level. ;;;============================================================================= (defvar g_line_1 (format nil "-- CafeOBJ system Version ~a --" cafeobj-version)) (eval-when (:execute :load-toplevel) (setq -cafeobj-load-time- (chaos::get-time-string))) (defun cafeobj-greeting () (unless (or *cafeobj-batch* *cafeobj-no-banner*) (let ((*print-pretty* nil)) (fresh-line) (terpri) (print-centering g_line_1) (fresh-line) (print-centering (format nil " built: ~a" (if -cafeobj-load-time- -cafeobj-load-time- "not yet installed."))) (fresh-line) (print-centering (format nil "prelude file: ~a" (if *cafeobj-standard-prelude-path* (file-namestring *cafeobj-standard-prelude-path*) 'NONE))) (fresh-line) (print-centering "***") (fresh-line) (print-centering (get-time-string)) (fresh-line) (print-centering "Type ? for help") (fresh-line) (force-output)))) (defvar .lisp-implementation. (lisp-implementation-type)) (defvar .lisp-version. (lisp-implementation-version)) (defun sub-message () (let ((*print-pretty* nil)) (declare (special *pint-pretty*)) #+:BigPink (unless (or *cafeobj-batch* *cafeobj-no-banner*) (print-centering "***") (fresh-line) (print-centering "-- Containing PigNose Extensions --") (fresh-line) ) (unless (or *cafeobj-batch* *cafeobj-no-banner*) (print-centering "---") (fresh-line) (print-centering (concatenate 'string "built on " .lisp-implementation.)) (fresh-line) (print-centering .lisp-version.)))) ;;;============================================================================= ;;; The top level loop ;;;============================================================================= ;;; TOP LEVEL FUNCTION #-microsoft (defun cafeobj (&optional no-init) (cafeobj-init) (unless no-init (cafeobj-process-args) nil) ;; greeting message (cafeobj-greeting) ;; (sub-message) ;; (catch *top-level-tag* (with-chaos-top-error () (with-chaos-error () (dolist (f (reverse *cafeobj-initial-load-files*)) (cafeobj-input f))))) ;; (if (not *cafeobj-batch*) (progn ;; (let ((quit-flag nil) (*print-case* :downcase) #+CMU (common-lisp:*compile-verbose* nil) #+CMU (common-lisp:*compile-print* nil) #+CMU (ext:*gc-verbose* nil) #+:ALLEGRO (*global-gc-behavior* :auto) #+:ALLEGRO (*print-pretty* nil) ) #+:ALLEGRO (declare (special *global-gc-behaviour* *print-pretty*)) (unless no-init (catch *top-level-tag* (with-chaos-top-error () (with-chaos-error () (cafeobj-init-files))))) (with-simple-restart (nil "Exit CafeOBJ.") (loop (with-simple-restart (abort "Return to CafeOBJ Top level.") (catch *top-level-tag* (process-cafeobj-input) (setq quit-flag t)) (when quit-flag (return :ok-exit)))))) (format t "[Leaving CafeOBJ]~%"))) (finish-output)) #+microsoft (defun cafeobj (&optional no-init) (let ((*terminal-io* *terminal-io*) (*standard-input* *terminal-io*) (*standard-output* *terminal-io*) #+:ALLEGRO (*print-pretty* nil)) (declare (special *print-pretty*)) ;; (cafeobj-init) (unless no-init (cafeobj-process-args) nil) ;; greeting message (cafeobj-greeting) ;; (sub-message) ;; (catch *top-level-tag* (with-chaos-top-error () (with-chaos-error () (dolist (f (reverse *cafeobj-initial-load-files*)) (cafeobj-input f))))) ;; (if (not *cafeobj-batch*) (progn ;; (let ((quit-flag nil) (*print-case* :downcase) (*global-gc-behavior* :auto) ) (declare (special *global-gc-behaviour*)) (unless no-init (catch *top-level-tag* (with-chaos-top-error () (with-chaos-error () (cafeobj-init-files))))) (with-simple-restart (nil "Exit CafeOBJ.") (loop (with-simple-restart (abort "Return to CafeOBJ Top level.") (catch *top-level-tag* (process-cafeobj-input) (setq quit-flag t)) (when quit-flag (return :ok-exit)))))) (format t "[Leaving CafeOBJ]~%"))) (finish-output) )) ;;;============================================================================= ;;; MISC TOPLEVEL SUPPORT ROUTINES ;;;----------------------------------------------------------------------------- (defun cafeobj-init () ;; #+gcl ;; (si::allocate-relocatable-pages 1000 t) #+CMU (unix:unix-sigsetmask 0) #+:ALLEGRO (setq excl:*print-startup-message* nil) #+:ALLEGRO (setf (sys:gsgc-switch :print) nil) ;; (!lex-read-init) (chaos-initialize-fsys)) ;;; initialization at startup time. ;;;----------------------------------------------------------------------------- (defun cafeobj-init-files () (when *cafeobj-load-init-file* (when *chaos-new* (let ((val (get-environment-variable "CAFEOBJINIT"))) (if (and val (probe-file val)) (cafeobj-input val) (if (probe-file (make-pathname :name ".cafeobj")) (cafeobj-input (make-pathname :name ".cafeobj")) (let ((home (or (namestring (user-homedir-pathname)) (get-environment-variable "HOME") ))) (when home (let ((dot-cafeobj (merge-pathnames home (make-pathname :name ".cafeobj")))) (when (probe-file dot-cafeobj) (cafeobj-input dot-cafeobj)))))))) (let ((lib-path (get-environment-variable "CAFEOBJLIB")) (load-path nil)) (when lib-path (dolist (x (parse-with-delimiter lib-path #\:)) (push x load-path)) (setq *chaos-libpath* (append (nreverse load-path) *chaos-libpath*)) )) (setq *chaos-new* nil))) ;; message DB ;; #+:Allegro ;; (setup-message-db) ;; help DB ;; #+:Allegro ;; (setup-help-db) ) ;;; ********************** ;;; THE TOP LEVEL FUNCTION ;;; ********************** (defmacro abort-on-error (&body forms) `(handler-bind ((error #'abort)) ,@forms)) (defun resume-cafeobj (&rest ignore) (declare (ignore ignore)) (throw *top-level-tag* nil)) (defun cafeobj-top-level () ;; dirty kludge!! (setq *print-pretty* nil) #+GCL (progn (si::set-up-top-level) (setq si::*ihs-top* 1) (incf system::*ihs-top* 2)) ;; (in-package :chaos) ;; patch by t-seino@jaist.ac.jp #+(or CCL allegro (and SBCL win32)) (set-cafeobj-standard-library-path) ;; (let ((res (catch *top-level-tag* (cafeobj) 'ok-exit))) (if (eq res 'ok-exit) (bye-bye-bye) (progn (princ "** ERROR") (terpri))))) #+EXCL (eval-when (:execute :load-toplevel) (top-level:alias "q" (&rest args) (apply #'top-level:do-command "pop" args))) ;; EOF cafeobj-1.5.4/cafeobj/cafeobjvar.lisp0000644000000000000000000000671112605345045016205 0ustar rootroot;;;-*- Mode:LISP; Package:CHAOS; Base:10; Syntax:Common-lisp -*- ;;; ;;; Copyright (c) 2000-2015, Toshimi Sawada. All rights reserved. ;;; ;;; Redistribution and use in source and binary forms, with or without ;;; modification, are permitted provided that the following conditions ;;; are met: ;;; ;;; * Redistributions of source code must retain the above copyright ;;; notice, this list of conditions and the following disclaimer. ;;; ;;; * Redistributions in binary form must reproduce the above ;;; copyright notice, this list of conditions and the following ;;; disclaimer in the documentation and/or other materials ;;; provided with the distribution. ;;; ;;; THIS SOFTWARE IS PROVIDED BY THE AUTHOR 'AS IS' AND ANY EXPRESSED ;;; OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED ;;; WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ;;; ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY ;;; DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL ;;; DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE ;;; GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS ;;; INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, ;;; WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING ;;; NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS ;;; SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. ;;; (in-package :chaos) #|============================================================================== System: CHAOS Module: cafeobj File: cafeobjvar.lisp ==============================================================================|# ;;; DESCRIPTION ================================================================ ;;; CafeOBJ interpreter global variables and parameters. ;;; (defvar *cafeobj-batch* nil) (defvar *cafeobj-no-banner* nil) ;; (defvar *cafeobj-input-quiet* nil) ;; (defvar $) (defvar *cafeobj-verbose* nil) (defvar *prompt* 'system) (defvar *cafeobj-initial-load-files* nil) (defvar *cafeobj-initial-prelude-file* nil) (defvar *cafeobj-secondary-prelude-file* nil) (defvar *cafeobj-load-init-file* t) ;;; (defvar *cafeobj-load-path* nil) ;;; (defvar *cafeobj-standard-prelude-path* nil) (defvar *cafeobj-secondary-prelude-path* nil) (defvar *cafeobj-install-dir* nil) ; must be set at make time. ;; (defvar -cafeobj-load-time- nil) ; set by save-cafeobj. (defvar *cafeobj-schemas* nil) (defvar *cafeobj-print-errors* t) ;;; keywords of CafeOBJ module elements. (defparameter *cafeobj-mod-elts* '("imports" "ex" "extending" "pr" "protecting" "us" "using" "inc" "including" "[" ;; "hidden" "*" "*record" "*class" "bsort" "op" "ops" "bop" "bops" "pred" "bpred" "dpred" ; only for pignose "dbpred" ; ditto "sig" "signature" "axiom" "ax" "axioms" "axs" #+:bigpink "ax" #+:bigpink "bax" #+:bigpink "goal" #+:bigpink "bgoal" "rec" "record" "class" "let" "#define" "var" "vars" "pvar" "pvars" "eq" "ceq" "cq" "beq" "bceq" "bcq" "trans" "ctrans" "trns" "ctrns" "rule" "crule" "rl" "crl" "btrans" "bctrans" "brule" "bcrule" "btrns" "bctrns" "brl" "bcrl" )) ;;; EOF cafeobj-1.5.4/cafeobj/command-top.lisp0000644000000000000000000006227712605345045016332 0ustar rootroot;;;-*- Mode:LISP; Package:CHAOS; Base:10; Syntax:Common-lisp -*- #|============================================================================== System: CHAOS Module: cafeobj File: command-top.lisp ==============================================================================|# ;;; ;;; Copyright (c) 2000-2015, Toshimi Sawada. All rights reserved. ;;; ;;; Redistribution and use in source and binary forms, with or without ;;; modification, are permitted provided that the following conditions ;;; are met: ;;; ;;; * Redistributions of source code must retain the above copyright ;;; notice, this list of conditions and the following disclaimer. ;;; ;;; * Redistributions in binary form must reproduce the above ;;; copyright notice, this list of conditions and the following ;;; disclaimer in the documentation and/or other materials ;;; provided with the distribution. ;;; ;;; THIS SOFTWARE IS PROVIDED BY THE AUTHOR 'AS IS' AND ANY EXPRESSED ;;; OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED ;;; WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ;;; ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY ;;; DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL ;;; DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE ;;; GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS ;;; INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, ;;; WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING ;;; NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS ;;; SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. ;;; (in-package :chaos) #-:chaos-debug (declaim (optimize (speed 3) (safety 0) #-GCL (debug 0))) #+:chaos-debug (declaim (optimize (speed 1) (safety 3) #-GCL (debug 3))) ;;;============================================================================= ;;; Declarations/Commands handlers ;;;----------------------------------------------------------------------------- ;;;***************************************************************************** ;;; Top-level utility functions ;;;***************************************************************************** ;;; SCAN ARGUMENTS ;;;_____________________________________________________________________________ ;;; CAFEOBJ-PROCESS-ARGS ;;; ** NOTE ** : only supported for GCL based CafeOBJ. ;;; #+GCL (defun get-arg-string () (let ((res nil) (argc (si::argc))) (if (< 1 argc) (let ((i 1)) (while (> argc i) (push (si::argv i) res) (incf i)))) (nreverse res))) #+CMU (defun get-arg-string () (cdr ext::*command-line-strings*)) #+EXCL (defun get-arg-string () (cdr (system:command-line-arguments))) #+sbcl (defun get-arg-string () (cdr sb-ext:*posix-argv*)) #-(or GCL CMU EXCL sbcl) (defun get-arg-string () nil) ;;; (defun cafeobj-process-args (&rest ignore) (declare (ignore ignore)) (catch *top-level-tag* (with-chaos-top-error () (with-chaos-error () (setq *cafeobj-load-init-file* t) (setq *cafeobj-initial-load-files* nil) (setq *cafeobj-initial-prelude-file* nil) (let* ((args (get-arg-string)) (argc (length args))) (declare (type list args)) (when (< 0 argc) (let ((i 0)) (while (> argc i) (case-equal (nth i args) #+CMU (("-core") (incf i 2)) ; ignore this (("-debug") (on-debug) (incf i)) (("-parse-debug") (setq *on-parse-debug* t) (incf i)) (("-modexp-debug") (setq *on-modexp-debug* t) (incf i)) (("-import-debug") (setq *on-import-debug* t)) (("-match-debug") (setq *match-debug* t)) (("-view-debug") (setq *on-view-debug* t)) (("-h" "-help" "--help") (cafeobj-interpreter-help) (bye-bye-bye)) (("-q") (setq *cafeobj-load-init-file* nil) (incf i)) (("-batch") (setq *cafeobj-batch* t) (incf i)) (("-no-banner") (setq *cafeobj-no-banner* t) (incf i)) (("-prefix") (progn (setq *cafeobj-install-dir* (nth (incf i) args)) (incf i) (set-cafeobj-standard-library-path *cafeobj-install-dir*))) (("-p" "-prelude") (if *cafeobj-initial-prelude-file* (with-output-chaos-warning () (format t "more than one prelude files are specified.") (print-next) (format t "file ~a is ignored." (nth (incf i) args)) (incf i)) (progn (setq *cafeobj-initial-prelude-file* (nth (incf i) args)) (incf i)))) (("+p" "+prelude") (if *cafeobj-secondary-prelude-file* (with-output-chaos-warning () (format t "more than one secondary prelude files are specified:") (print-next) (format t "file ~a is ignored." (nth (incf i) args)) (incf i)) (progn (setq *cafeobj-secondary-prelude-file* (nth (incf i) args)) (incf i)))) (("-lib" "-l") (let ((lpaths nil)) (dolist (x (parse-with-delimiter (nth (incf i) args) #\:)) #|| (when (probe-file x) (push x lpaths)) ||# (push x lpaths) ) (incf i) (setq *chaos-libpath* (nreverse lpaths)))) (("+lib" "+l") (let ((lpaths nil)) (dolist (x (parse-with-delimiter (nth (incf i) args) #\:)) #|| (when (probe-file x) (push x lpaths)) ||# (push x lpaths) ) (incf i) (setq *chaos-libpath* (append (nreverse lpaths) *chaos-libpath*)))) #+ALLEGRO (("-e") (let ((form (nth (incf i) args))) (handler-case (handler-case (eval (with-standard-io-syntax (read-from-string form))) (error (c) (warn "~ An error occurred (~a) during the reading or evaluation of -e ~s" c form)))))) (t (push (nth i args) *cafeobj-initial-load-files*) (incf i))))))) ;; load prelude if need (let ((*chaos-quiet* t)) (when (and *cafeobj-batch* (null *cafeobj-initial-load-files*)) ;; we don't need loading prelude. (return-from cafeobj-process-args nil)) (if *cafeobj-initial-prelude-file* ;; load specified prelude files (progn (format t "~%-- loading prelude") ;;(format t "~&-- do `save-system' for creating system prelude pre-loaded.") (setq *cafeobj-standard-prelude-path* (load-prelude *cafeobj-initial-prelude-file* 'process-cafeobj-input))) (unless *cafeobj-standard-prelude-path* (format t "~%-- loading standard prelude") ;;(format t "~&-- do `save-system' for creating system prelude pre-loaded.") (setq *cafeobj-standard-prelude-path* (load-prelude "std" 'process-cafeobj-input)))) (when *cafeobj-secondary-prelude-file* (format t "~%-- appending prelude") (setq *cafeobj-secondary-prelude-path* (load-prelude+ *cafeobj-secondary-prelude-file* 'process-cafeobj-input))) ;; load site init (load-prelude "site-init" 'process-cafeobj-input t) ) )))) ;;; TOP LEVEL HELP ;;;_____________________________________________________________________________ ;;; CafeOBJ INTERPRETER OPTIONS ;;; (defun cafeobj-interpreter-help () (format t "~%Usage: cafeobj [options] files ...") (format t "~&Options: [defaults in brackets after descriptions]") (format t "~& -help~16Tprint this help message.") (format t "~& -q~16Tdo not load user's initialization file.") (format t "~& -batch~16Truns in batch mode.") (format t "~& -p PATH~16Tstandard prelude file defining modules.") (format t "~& +p PATH~16Tadditional prelude file.") (format t "~& -l DIR-LIST~16Tset list of pathnames as module search paths. ") (format t "~&~16T[ /usr/local/cafeobj/lib:/usr/local/cafeobj/exs ]") (format t "~& +l DIR-LIST~16Tadds list of pathnames as mdoule search paths.") (format t "~&Files:") (format t "~& files are loaded at start up time in order.~%") (force-output)) ;;; CafeOBJ INTERPRETER TOPLEVEL HELP ;;; (defun print-context-info () (let ((cmod (get-context-module t))) (cond ((null cmod) (format t "~&You are at top level, no context module is set.")) (*open-module* (format t "~&A module ~a is open. " (get-module-print-name *open-module*)) (format t "In addition to toplevel commands,~%you can put any declarations of module constructs.~%") (format t "Try typing '?com element' for the list of available constructs.")) (t (format t "~&Module ~a is set as current module." (get-module-print-name cmod)))))) (defun print-help-help () (format t "~2%** Here are commands for CafeOBJ online help system.~%") (format t "'?com []'~25T Shows available commands classified by ,~%") (format t "~25T ommiting shows a list of .~%") (format t "'? '~25T Gives the reference manual description of ~%") (format t "'?ex '~25T Similar to '? ', but in this case~%") (format t "~25T also shows examples if available.~%") (format t "'?ap [] ...'~25TSearches all available online docs for the terms passed,~%") (format t "~25T type '? ?ap' for more detailed descriptions.~%") (format t "** Typing 'com' will show the list of major toplevel commands.~%") (format t "** URL 'http://cafeobj.org' privides anything you want to know about CafeOBJ.")) (defun cafeobj-top-level-help (&optional com) (cond ((null (cdr com)) (let ((ask (intern (car com)))) (case ask ((|?com| |?commands|) (oldoc-list-categories nil)) (otherwise (print-context-info) (print-help-help))))) (t (cafeobj-what-is com)))) (defparameter .cafeobj-main-commands. "-- CafeOBJ major top level commands: NOTE: Top level definitional forms include declaration of `module' and `view'. -- help: ? shows the current context and the brief guide for using help system. -- exit: quit -or- q exit from CafeOBJ interpreter. -- setting working context: select . set the module specified by a module expression as current module. open . open the module specified by a module expression , will be a current module. close close the opening module. -- term rewriting commands: reduce -or- red [in : ] . rewrite using equations as rewerite rules optional specifies the rewriting context (module) exec [in : ] . rewrite using both equations and rules optional specifies the rewriting context (module) -- term parser: parse [in : ] . parse , print out the result optional specfies the parsing context (module) -- inspection: show -or- describe print various info., for further help, type `show ?' -- setting switches: set set toplevel switches, for further help: type `set ?' protect prevent module from redefinition unprotect un-set protection of module -- reading in files: input -or- in requests the system to read the file specified by the pathname. The file itself may contain 'input' commands. -- system intialization reset restores the definitions of built-in modules and preludes, but does not affect other modules. full reset reinitializes the internal state of the system. all supplied modules definitions are lost. -- misc. commands cd change the system's working directory ls list files in directory pwd print the current directory ! fork shell (Unix only)" ) (defun show-cafeobj-main-commands () (format t "~a~%" .cafeobj-main-commands.)) ;;; (defparameter .?-invalid-chars. '("." "#" "'" "`")) (defun cafeobj-what-is (inp) (let* ((ask (intern (car inp))) (question (cdr inp)) (description nil)) (case ask (|?| (setq description (oldoc-get-documentation question :main t :example nil))) (|??| (setq description (oldoc-get-documentation question :main t :example t))) ((|?ex| |?example|) (setq description (oldoc-get-documentation question :main nil :example t))) ((|?ap| |?apropos|) (setq description (oldoc-get-documentation question :apropos t))) ((|?com| |?command|) (oldoc-list-categories question) (return-from cafeobj-what-is nil)) (otherwise ;; this cannot happen (with-output-chaos-error ('internal-error) (format t "Unknown help command ~a" (car inp))))) (cond (description (format t description) (terpri)) (t (with-output-chaos-warning () (format t "System does not know about \"~{~a ~^~}\"." question)))))) ;;; (defun get-command-description (level id) (if (string= level "??") (get-description id t) (get-description id nil))) ;;; READING IN FILES ;;;_____________________________________________________________________________ ;;; CAFEOBJ-INPUT ;;; (defun cafeobj-input (f &optional (proc 'process-cafeobj-input) (load-path *chaos-libpath*)) (with-chaos-top-error () (with-chaos-error () (if *cafeobj-batch* (let ((*print-case* :downcase) #+CMU (common-lisp:*compile-verbose* nil) #+CMU (common-lisp:*compile-print* nil) #+CMU (ext:*gc-verbose* nil)) (chaos-input-file :file f :proc proc :load-path load-path :suffix '(".cafe" ".mod"))) (chaos-input-file :file f :proc proc :load-path load-path :suffix '(".cafe" ".mod")))))) ;;; CAFEOBJ-PROBE-FILE file ;;; (defun cafeobj-probe-file (f) (let ((src (chaos-probe-file f *chaos-libpath* '(".cafe" ".mod"))) (bin (chaos-probe-file f *chaos-libpath* '(".bin")))) (if (null bin) src (if src (if (<= (file-write-date src) (file-write-date bin)) bin src) bin)))) ;;; PROMPT ;;;_____________________________________________________________________________ ;;; PRINT-CAFEOBJ-PROMPT ;;; (defun print-cafeobj-prompt () (fresh-all) (flush-all) (let ((cur-module (get-context-module t))) (cond ((eq *prompt* 'system) (if cur-module (if (module-is-inconsistent cur-module) (progn (with-output-chaos-warning () (format t "~a is inconsistent due to changes in some of its submodules." (module-name cur-module)) (print-next) (princ "resetting the `current module' of the system..")) (reset-context-module) (format *error-output* "~&CafeOBJ> ")) (let ((*standard-output* *error-output*)) (print-simple-mod-name cur-module) (princ "> "))) ;; no context module (format *error-output* "CafeOBJ> ")) (setf *sub-prompt* nil)) ;; prompt specified to NONE ((eq *prompt* 'none)) ;; specified prompt (*prompt* (let ((*standard-output* *error-output*)) (if (atom *prompt*) (princ *prompt*) (print-simple-princ-open *prompt*)) (princ " ")))) (flush-all))) ;;; SAVE INTERPRETER IMAGE ;;;_____________________________________________________________________________ (defun set-cafeobj-libpath (topdir) (setq *system-prelude-dir* (pathname (concatenate 'string topdir "/prelude/"))) (setq *system-lib-dir* (pathname (concatenate 'string topdir "/lib/"))) (setq *system-ex-dir* (pathname (concatenate 'string topdir "/exs/"))) ;; (setq *chaos-libpath* (list *system-lib-dir* *system-ex-dir*)) (setq *chaos-libpath* (list *system-lib-dir*))) #-(or (and CCL (not :openmcl)) ALLEGRO (and SBCL WIN32)) (defun set-cafeobj-standard-library-path (&optional topdir) (when (and (null *cafeobj-install-dir*) (null topdir)) (break "CafeOBJ install directory is not set yet!.")) (set-cafeobj-libpath (or topdir *cafeobj-install-dir*))) #+:openmcl (defun set-cafeobj-standard-library-path (&optional topdir) (when (and (null *cafeobj-install-dir*) (null topdir)) (break "CafeOBJ install directory is not set yet!.")) (set-cafeobj-libpath (or topdir *cafeobj-install-dir*))) ;;; ACL #+:allegro (defvar cafeobj-sys-dir nil) #+:allegro (defun set-cafeobj-standard-library-path (&optional topdir) (if topdir (set-cafeobj-libpath topdir) (let ((*default-pathname-defaults* #p"sys:")) #-:mswindows (setq *default-pathname-defaults* (merge-pathnames #p"../")) (setq *cafeobj-install-dir* (translate-logical-pathname *default-pathname-defaults*)) (setq *system-prelude-dir* (translate-logical-pathname (merge-pathnames "prelude/"))) (setq *system-lib-dir* (translate-logical-pathname (merge-pathnames "lib/"))) (setq *system-ex-dir* (translate-logical-pathname (merge-pathnames "exs/"))) ;;; (setq *chaos-libpath* (list *system-lib-dir* *system-ex-dir*)) (setq *chaos-libpath* (list *system-lib-dir*))))) #+(and :SBCL :win32) (defun set-cafeobj-standard-library-path (&optional topdir) (if topdir (set-cafeobj-libpath topdir) (let* ((*default-pathname-defaults* (make-pathname :host (pathname-host sb-ext:*core-pathname*) :device (pathname-device sb-ext:*core-pathname*) :directory (pathname-directory sb-ext:*core-pathname*)))) (setq *cafeobj-install-dir* *default-pathname-defaults*) (setq *system-prelude-dir* (translate-logical-pathname (merge-pathnames "prelude/"))) (setq *system-lib-dir* (translate-logical-pathname (merge-pathnames "lib/"))) (setq *system-ex-dir* (translate-logical-pathname (merge-pathnames "exs/"))) ;;; (setq *chaos-libpath* (list *system-lib-dir* *system-ex-dir*)) (setq *chaos-libpath* (list *system-lib-dir*))))) ;;; patch by t-seino@jaist.ac.jp #+(and CCL (not :openmcl)) (defun set-cafeobj-standard-library-path (&optional topdir) (declare (ignore topdir)) ;; (unless *cafeobj-install-dir* ;; (break "CafeOBJ install directory is not set yet!.")) (setq *system-prelude-dir* (full-pathname (make-pathname :host "ccl" :directory "prelude/"))) (setq *system-lib-dir* (full-pathname (make-pathname :host "ccl" :directory "lib/"))) (setq *system-ex-dir* (full-pathname (make-pathname :host "ccl" :directory "exs/"))) ;; (setq *chaos-libpath* (list *system-lib-dir* *system-ex-dir*)) (setq *chaos-libpath* (list *system-lib-dir*))) ;;; MAIN ROUTINE ;;; PROCESSING INPUT FILE STREAM ;;;_____________________________________________________________________________ ;;; PROCESS-CAFEOBJ-INPUT ;;; read in command & process it until eof. ;;; ;;; cafeobj-parse returns the input in a form of list of tokens. ;;; ("token", ... ) ;;; the first token is always assumed to be a keyword, and the rest is ;;; its arguments. the form of arguments are depends on the syntax of ;;; each command. ;;; (defun bye-bye-bye () #+GCL (bye) #+sbcl (sb-ext:exit) #+CMU (ext:quit) #+EXCL (exit) #+CCL (quit) #+CLISP (ext::exit)) ;;; ;;; NOP ;;; (defun cafeobj-nop (&rest ignore) ignore) ;;; ;;; cafeobj-evaluate-command : Key -> Void ;;; (defun cafeobj-evaluate-command (key inp) (declare (type string key)) (let ((com (get-command-info key))) (unless com (with-output-chaos-error ('no-commands) (format t "No such command or declaration keyword '~a'." key))) (let ((parser (comde-parser com))) (unless parser (with-output-chaos-error ('no-parser) (format t "No parser is defined for command ~a" key))) (let ((pform (funcall parser inp))) (unless pform (with-output-chaos-error ('parse-error) (format t "Invalid argument to command ~a." key))) (if (eq pform :help) (print-comde-usage com) (let ((evaluator (comde-evaluator com))) (unless evaluator (with-output-chaos-error ('no-evaluator) (format t "No evaluator is defined for command ~a." key))) (funcall evaluator pform))))))) ;;; ;;; (defun parse-cafeobj-input-from-string (string) (let ((.reader-ch. 'space) (*reader-input* *reader-void*) (*print-array* nil) (*print-circle* nil) (*old-context* nil) (*show-mode* :cafeobj)) (let ((inp nil) (.in-in. nil)) (declare (special .in-in.)) (with-chaos-top-error ('handle-cafeobj-top-error) (with-chaos-error ('handle-chaos-error) (setq inp (cafeobj-parse-from-string string)) (block process-input ;; PROCESS INPUT (cafeobj-evaluate-command (car inp) inp))))))) ;;; ;;; READING IN DECLARATIONS/COMMANDS and PROCESS THEM. ;;; (defvar *on-top-debug* nil) (defun process-cafeobj-input () (let ((.reader-ch. 'space) (*reader-input* *reader-void*) (*print-array* nil) (*print-circle* nil) (*old-context* nil) (*show-mode* :cafeobj) (top-level (at-top-level))) (unless (or top-level *chaos-quiet*) (if *chaos-input-source* (with-output-simple-msg () (format t "~&processing input : ~a~%" (namestring *chaos-input-source*))) (with-output-simple-msg () (format t "~&processing input .......................~%")))) (let ((inp nil) (.in-in. nil)) (declare (special .in-in.)) (block top-loop (loop (with-chaos-top-error ('handle-cafeobj-top-error) (with-chaos-error ('handle-chaos-error) (when top-level (print-cafeobj-prompt)) (setq inp (cafeobj-parse)) ;; QUIT ----------------------------------------------------------- (when (member (car inp) '("eof" "q" ":q" ":quit" "quit" eof) :test #'equal) ;; we should recover context here? NOOP! ... (return-from top-loop nil)) (block process-input ;; PROCESS INPUT COMMANDS ============== (cafeobj-evaluate-command (car inp) inp)) (setq *chaos-print-errors* t))) (when .in-in. (setq *chaos-print-errors* t) (setq .in-in. nil))))))) (defun handle-cafeobj-top-error (val) (if *chaos-input-source* (chaos-to-top val) val)) ;;; EOF cafeobj-1.5.4/cafeobj/creader.lisp0000644000000000000000000010004512605345045015503 0ustar rootroot;;;-*- Mode: Lisp; Syntax:Common-Lisp; Package:CHAOS; Base:10 -*- ;;; ;;; Copyright (c) 2000-2015, Toshimi Sawada. All rights reserved. ;;; ;;; Redistribution and use in source and binary forms, with or without ;;; modification, are permitted provided that the following conditions ;;; are met: ;;; ;;; * Redistributions of source code must retain the above copyright ;;; notice, this list of conditions and the following disclaimer. ;;; ;;; * Redistributions in binary form must reproduce the above ;;; copyright notice, this list of conditions and the following ;;; disclaimer in the documentation and/or other materials ;;; provided with the distribution. ;;; ;;; THIS SOFTWARE IS PROVIDED BY THE AUTHOR 'AS IS' AND ANY EXPRESSED ;;; OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED ;;; WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ;;; ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY ;;; DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL ;;; DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE ;;; GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS ;;; INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, ;;; WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING ;;; NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS ;;; SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. ;;; (in-package :chaos) #-:chaos-debug (declaim (optimize (speed 3) (safety 0) #-GCL (debug 0))) #+:chaos-debug (declaim (optimize (speed 1) (safety 3) #-GCL (debug 3))) #|============================================================================= System:CHAOS Module: cafeobj File: creader.lisp ==============================================================================|# ;;;============================================================================= ;;; Schema based generalized reader based on OBJ3 implementation. ;;;============================================================================= ;;; ;;; TOP-LEVEL module parser invokes 'reader' with schemas for modules (defun cafeobj-parse () (reader 'Top-form *cafeobj-schemas*)) (defun cafeobj-parse-from-string (str) (with-input-from-string (stream str) (let ((*standard-input* stream)) (cafeobj-parse)))) ;;; SCHEMA ;;; schema for top-level of CafeOBJ =========================================== ;;;============================================================================= ;;; CafeOBJ Schemas ;;;----------------------------------------------------------------------------- (eval-when (:execute :compile-toplevel :load-toplevel) ;;;----------------------------------------------------------------------------- ;;; SORT/SUBSORT DECLARATION ;;;----------------------------------------------------------------------------- ;;; VISIBLE SORTS (defparameter SortDeclaration '(|[| (:upto (< |,| |]|) :sorts) :append (:seq-of (:one-of (<) (|,|)) (:upto (< |,| |]|) :sorts)) |]|)) ;;; HIDDEN SORTS (defparameter HSortDeclaration '(* (|[| (:upto (< |,| |]|) :sorts) :append (:seq-of (:one-of (<) (|,|)) (:upto (< |,| |]|) :sorts)) |]|) *)) (defparameter HRCSortDeclaration '(*record :symbol (:optional (:! Supers)) |{| (:optional (:! Sv-pairs)) |}|) ) ;;; BUILTIN SORT (defparameter BSortDeclaration '(bsort :symbol (:call (read)))) ;;; BUILTIN HIDDEN SORT (defparameter BHSortDeclaration '(hbsort :symbol (:call (read)))) ;;;----------------------------------------------------------------------------- ;;; OPERATOR DECLARATION ;;;----------------------------------------------------------------------------- ;;; GENERAL OPERATORs (defparameter OperatorDeclaration '((:+ op ops) (:seq-of :opname) |:| :sorts -> :sort (:if-present |{| (:many-of ((:+ assoc comm idem associative commutative idempotent demod)) (|id:| :chaos-item) (|identity:| :chaos-item) (|idr:| :chaos-item) (|identity-rules:| :chaos-item) ;; ((:pred general-read-numberp)) ((:+ prec precedence |prec:| |pecedence:|) :int) (|(| (:seq-of :int) |)|) ((:+ strat strategy |strat:| |strategy:|) |(| (:seq-of :int) |)|) ((:+ l-assoc r-assoc left-associative right-associative)) ((:+ constr ctor constructor)) ((:+ coherent beh-coherent)) (memo) ) |}| ))) ;;; BEHAVIOURAL OPERATOR DECLARATION (defparameter BOperatorDeclaration '((:+ bop bops) (:seq-of :opname) |:| :sorts -> :sort (:if-present |{| (:many-of ((:+ assoc comm idem associative commutative idempotent demod)) (|id:| :chaos-item) (|identity:| :chaos-item) (|idr:| :chaos-item) (|identity-rules:| :chaos-item) ;; ((:pred general-read-numberp)) ((:+ prec precedence |prec:| |pecedence:|) :int) (|(| (:seq-of :int) |)|) ((:+ strat strategy |strat:| |strategy:|) |(| (:seq-of :int) |)|) ((:+ l-assoc r-assoc left-associative right-associative)) ((:+ constr constructor)) (memo) ) |}| ))) ;;; PREDICATE -- short hand for bool-valued ops. (defparameter PredicateDeclaration '((:+ pred preds pd pds) (:seq-of :opname) |:| (:upto (op ops bop bops |[| pred preds pd pds bpred bpreds bpd bpds hidden signature sig axioms ax axiom imports dpred |{| |}| |.| -- ** --> **> class record eq rule rl ceq crule crl bq bcq beq bceq brule brl bcrule bcrl trans tr ctrans ctr btrans btr bctrans bctr fax bfax var vars parse ev evq lisp lispq let |#define|) :sorts) (:if-present |{| (:many-of ((:+ assoc comm idem associative commutative idempotent demod)) (|id:| :chaos-item) (|identity:| :chaos-item) (|idr:| :chaos-item) (|identity-rules:| :chaos-item) ;; ((:pred general-read-numberp)) ((:+ prec precedence |prec:| |pecedence:|) :int) (|(| (:seq-of :int) |)|) ((:+ strat strategy |strat:| |strategy:|) |(| (:seq-of :int) |)|) ((:+ l-assoc r-assoc left-associative right-associative)) ((:+ constr constructor)) ((:+ coherent beh-coherent)) ((:+ meta-demod demod)) (memo) ) |}| ))) (defparameter BPredicateDeclaration '((+ bpred bpreds bpd bpds) (:seq-of :opname) |:| (:upto (op ops bop bops |[| pred preds pd pds bpred bpreds bpd bpds hidden signature sig axioms ax axiom imports dpred |{| |}| |.| -- ** --> **> class record eq rule rl ceq crule crl bq bcq beq bceq brule brl bcrule bcrl trans tr ctrans ctr btrans btr bctrans bctr fax bfax var vars parse ev evq lisp lispq let |#define|) :sorts) (:if-present |{| (:many-of ((:+ assoc comm idem associative commutative idempotent demod)) (|id:| :chaos-item) (|identity:| :chaos-item) (|idr:| :chaos-item) (|identity-rules:| :chaos-item) ;; ((:pred general-read-numberp)) ((:+ prec precedence |prec:| |pecedence:|) :int) (|(| (:seq-of :int) |)|) ((:+ strat strategy |strat:| |strategy:|) |(| (:seq-of :int) |)|) ((:+ l-assoc r-assoc left-associative right-associative)) ((:+ constr constructor)) ((:+ coherent beh-coherent)) (memo) ((:+ demod meta-demod)) ) |}| ))) ;;; OPERATOR ATTRIBUTES ;;; Now almost obsolate. (defparameter OperatorAttribute '((:+ attr attrs) (:seq-of :opname) |{| (:many-of ((:+ assoc comm idem associative commutative idempotent demod)) (|id:| :chaos-item) (|identity:| :chaos-item) (|idr:| :chaos-item) (|identity-rules:| :chaos-item) ;; ((:pred general-read-numberp)) ((:+ prec precedence |prec:| |pecedence:|) :int) (|(| (:seq-of :int) |)|) ((:+ strat strategy |strat:| |strategy:|) |(| (:seq-of :int) |)|) ((:+ l-assoc r-assoc)) ;; ((:+ constr constructor)) (memo) ) |}|)) ;;;----------------------------------------------------------------------------- ;;; LET ;;;----------------------------------------------------------------------------- (defparameter LetDeclaration '(let :symbol (:optional |:| :sort) = :term |.|)) ;;;----------------------------------------------------------------------------- ;;; VARIABLE DECLARATION ;;;----------------------------------------------------------------------------- (defparameter VarDeclaration '(var :symbol |:| :sort)) (defparameter VarsDeclaration '(vars :symbols |:| :sort)) (defparameter PVarDeclaration '(pvar :symbol |:| :sort)) (defparameter PVarsDeclaration '(pvars :symbols |:| :sort)) ;;;----------------------------------------------------------------------------- ;;; MACRO ;;;----------------------------------------------------------------------------- (defparameter MacroDeclaration '(|#define| :term |::=| :term |.|)) ;;;----------------------------------------------------------------------------- ;;; AXIOMS ;;;----------------------------------------------------------------------------- ;;; EQUATION (defparameter EqDeclaration '(eq :term = :term |.|)) (defparameter BEqDeclaration '((:+ beq bq) :term = :term |.|)) (defparameter CEQDeclaration '((:+ ceq cq) :term = :term if :term |.|)) (defparameter BCEQDeclaration '((:+ bceq bcq) :term = :term if :term |.|)) (defparameter FoplAXDeclaration '((:+ fax bfax ax bax frm bfrm) :term |.|)) (defparameter FoplGoalDeclaration '((:+ goal bgoal) :term |.|)) ;;; STATE TRANSITION (defparameter RlDeclaration '((:+ rule rl trans tr) :term => :term |.|)) (defparameter BRLDeclaration '((:+ brule brl btrans btr) :term => :term |.|)) (defparameter CRLDeclaration '((:+ crule crl ctrans ctr) :term => :term if :term |.|)) (defparameter BCRLDeclaration '((:+ bcrule brl bctrans bctr) :term => :term if :term |.|)) ;;;----------------------------------------------------------------------------- ;;; IMPORTATIONS ;;;----------------------------------------------------------------------------- (defparameter ExDeclaration '((:+ ex extending) (:if-present as :symbol) |(| :modexp |)|)) (defparameter PrDeclaration '((:+ pr protecting) (:if-present as :symbol) |(| :modexp |)|)) (defparameter UsDeclaration '((:+ us using) (:if-present as :symbol) |(| :modexp |)|)) (defparameter IncDeclaration '((:+ inc including) (:if-present as :symbol) |(| :modexp |)|)) ) ;;;----------------------------------------------------------------------------- ;;; CITP tactics ;;;----------------------------------------------------------------------------- (eval-when (:execute :compile-toplevel :load-toplevel) (defparameter CTF '((:+ |:ctf| |:ctf-|) (:one-of (|{| (:one-of #.EqDeclaration #.BeqDeclaration #.FoplAXDeclaration) |}|) (\[ :term |.| \])))) (defparameter CSP '((:+ |:csp| |:csp-|) |{| (:many-of #.EqDeclaration #.RlDeclaration #.BeqDeclaration #.BRLDeclaration #.FoplAXDeclaration) |}|)) ) ;;;----------------------------------------------------------------------------- ;;; THE SCHEME OF WHOLE ALLOWABLE INPUTS ;;;----------------------------------------------------------------------------- (eval-when (:execute :load-toplevel) (setq *cafeobj-schemas* '( (Top-form (:one-of (;; MODULE : Its Constructs ;; -------------------------------------------------- (:+ mod module module* module! mod* mod! |sys:mod| |sys:mod*| |sys:mod!| |sys:module| |sys:module*| |sys:module!| |hwd:module!| |hwd:module*| |hwd:module| ots |sys:ots| |hwd:ots| ) :symbol ; (:optional (:! Params)) (:if-present (:+ \( \[) (:! Param) :append (:seq-of |,| (:! Param)) (:+ \) \])) (:if-present (:+ principal-sort psort p-sort) :sort) ;; (:if-present psort :sort) |{| (:many-of ;; MODULE IMPORTATIONS ;; *NOTE* imports { ... } is not in MANUAL, and does not have ;; translater to Chaos now. ((:+ imports import) |{| (:many-of #.ExDeclaration #.PrDeclaration #.UsDeclaration #.IncDeclaration ((:+ --> **>) :comment) ((:+ -- **) :comment) ) |}|) #.ExDeclaration #.PrDeclaration #.UsDeclaration #.IncDeclaration ;; SIGNATURE ((:+ sig signature) |{| (:many-of #.BSortDeclaration #.BHSortDeclaration #.HSortDeclaration #.SortDeclaration #.OperatorDeclaration #.BOperatorDeclaration #.PredicateDeclaration #.BPredicateDeclaration #.OperatorAttribute ;; #.R-C-Declaration ((:+ --> **>) :comment) ((:+ -- **) :comment) ) |}|) ;; AXIOMS ((:+ axiom axioms axs) |{| (:many-of #.LetDeclaration #.MacroDeclaration #.VarDeclaration #.VarsDeclaration #.EqDeclaration #.CeqDeclaration #.RlDeclaration #.CRlDeclaration #.BeqDeclaration #.BCeqDeclaration #.BRLDeclaration #.BCRLDeclaration #.FoplAXDeclaration #.FoplGoalDeclaration ((:+ --> **>) :comment) ((:+ -- **) :comment) ) |}|) ;; Module elements without signature/axioms. #.BSortDeclaration #.BHSortDeclaration #.SortDeclaration #.HSortDeclaration #.BHSortDeclaration ;; #.R-C-Declaration #.OperatorDeclaration #.BOperatorDeclaration #.PredicateDeclaration #.BPredicateDeclaration #.OperatorAttribute #.LetDeclaration #.MacroDeclaration #.VarDeclaration #.VarsDeclaration #.EqDeclaration #.BEqDeclaration #.CeqDeclaration #.BCeqDeclaration #.RlDeclaration #.CRlDeclaration #.BRlDeclaration #.BCRLDeclaration #.FoplAXDeclaration #.FoplGoalDeclaration ((:+ --> **>) :comment) ((:+ -- **) :comment) ;; Misc elements. ;; (parse :term |.|) ((:+ ev lisp evq lispq) (:call (read))) ;; allow sole ".", and do nothing (|.|) ) |}| ) ; end module ;; VIEW DECLARATION ;; -------------------------------------------------- (view :symbol :modexp |}|) ;; MAKE ;; -------------------------------------------------- (make :symbol |(| :modexp |)|) ;; TOP LEVEL COMMANDS ;; -------------------------------------------------- ((:+ reduce red execute exec exec! execute! breduce bred) (:rdr #..term-delimiting-chars. (:if-present in :modexp |:|)) (:seq-of :term) |.|) (tram (:+ compile execute exec red reduce reset) (:if-present in :modexp |:|) (:seq-of :term) |.|) ((:+ cbred) (:if-present in :modexp |:|) (:seq-of :term) |.|) (version) ;; AUTO LOAD (autoload :symbol :symbol) (no-autoload :symbol) ;; (stop at :term |.|) ;; ((:+ rwt) limit :symbol) (test (:+ reduction red execution exec) (:if-present in :modexp |:|) (:seq-of :term) (:+ |:expect| |expect:| expect) (:seq-of :term) |.|) ;; ((:+ match unify) (:seq-of :term) (:+ to :to) (:seq-of :term) |.|) (match :term (:+ to with) :term |.|) (unify :term (:+ to with) :term |.|) ;; (call-that :symbol) ;; ((:+ language lang) :symbol) ((:+ input in) :symbol) (check (:seq-of :top-opname)) (regularize (:seq-of :top-opname)) (save :symbol) (restore :symbol) (prelude :symbol) (save-system :symbol) (protect (:seq-of :top-opname)) (unprotect (:seq-of :top-opname)) (clean memo) (reset) (full-reset) (full reset) ((:+ --> **>) :comment) ((:+ -- **) :comment) (parse (:rdr #..term-delimiting-chars. (:if-present in :modexp |:|) (:seq-of :term) |.|)) ((:+ lisp ev eval evq lispq) (:call (read))) (;; (:+ show sh set select describe desc) ; do set (:seq-of :top-opname)) ;; (select :modexp :args) ((:+ show sh select describe desc) :args) ;; (trans-chaos (:seq-of :top-opname)) ;; module elements which can appear at top(iff a module is opened.) #.PrDeclaration #.ExDeclaration #.UsDeclaration #.IncDeclaration #.BSortDeclaration #.BHSortDeclaration #.HSortDeclaration #.SortDeclaration #.OperatorDeclaration #.BOperatorDeclaration #.PredicateDeclaration #.BPredicateDeclaration #.LetDeclaration #.MacroDeclaration #.VarDeclaration #.VarsDeclaration #.PVarDeclaration #.PVarsDeclaration #.EqDeclaration #.CEqDeclaration #.BEqDeclaration #.BCEqDeclaration #.RlDeclaration #.CRlDeclaration #.BRlDeclaration #.BCRLDeclaration #.FoplAXDeclaration #.FoplGoalDeclaration ;; theorem proving stuff. ;; (open (:seq-of :top-opname)) (open :modexp |.|) (close) (start :term |.|) ;; scase () on () as { } : . (scase |(| (:seq-of :term) |)| in |(| :modexp |)| as :symbol |{| (:many-of ;; MODULE IMPORTATIONS ;; *NOTE* imports { ... } is not in MANUAL, and does not have ;; translater to Chaos now. ((:+ imports import) |{| (:many-of #.ExDeclaration #.PrDeclaration #.UsDeclaration #.IncDeclaration ((:+ --> **>) :comment) ((:+ -- **) :comment) ) |}|) #.ExDeclaration #.PrDeclaration #.UsDeclaration #.IncDeclaration ;; SIGNATURE ((:+ sig signature) |{| (:many-of #.BSortDeclaration #.BHSortDeclaration #.HSortDeclaration #.SortDeclaration #.OperatorDeclaration #.BOperatorDeclaration #.PredicateDeclaration #.BPredicateDeclaration #.OperatorAttribute ;; #.R-C-Declaration ((:+ --> **>) :comment) ((:+ -- **) :comment) ) |}|) ;; AXIOMS ((:+ axiom axioms axs) |{| (:many-of #.LetDeclaration #.MacroDeclaration #.VarDeclaration #.VarsDeclaration #.EqDeclaration #.CeqDeclaration #.RlDeclaration #.CRlDeclaration #.BeqDeclaration #.BCeqDeclaration #.BRLDeclaration #.BCRLDeclaration #.FoplAXDeclaration #.FoplGoalDeclaration ((:+ --> **>) :comment) ((:+ -- **) :comment) ) |}|) ;; Module elements without signature/axioms. #.BSortDeclaration #.BHSortDeclaration #.SortDeclaration #.HSortDeclaration #.BHSortDeclaration ;; #.R-C-Declaration #.OperatorDeclaration #.BOperatorDeclaration #.PredicateDeclaration #.BPredicateDeclaration #.OperatorAttribute #.LetDeclaration #.MacroDeclaration #.VarDeclaration #.VarsDeclaration #.EqDeclaration #.BEqDeclaration #.CeqDeclaration #.BCeqDeclaration #.RlDeclaration #.CRlDeclaration #.BRlDeclaration #.BCRLDeclaration #.FoplAXDeclaration #.FoplGoalDeclaration ((:+ --> **>) :comment) ((:+ -- **) :comment) ;; Misc elements. ;; (parse :term |.|) ((:+ ev lisp evq lispq) (:call (read))) ;; allow sole ".", and do nothing (|.|) ) |}| |:| (:seq-of :term) |.|) ;; trace/untrace ((:+ trace untrace) :symbol) ;; apply (apply (:one-of-default (:symbol (:upto (within at) (:optional with :symbol = (:upto (|,| within at) :term) :append (:seq-of |,| :symbol = (:upto (|,| within at) :term)))) (:+ within at) (:one-of ((:+ top it term subterm)) ((:+ |(| |{| |[|) :unread ((:! Selector)) (:seq-of of ((:! Selector))) |.|))) (?))) ;; (choose (:one-of ((:+ top term subterm)) ((:+ |(| |{| |[|) :unread ((:! Selector)) (:seq-of of ((:! Selector))) |.|))) (find (:+ rule -rule +rule rules -rules +rules)) ;; RWL related commands ((:+ cont continue) :args) ;; PROVIDE/REQUIRE (provide :symbol) (require :top-term) (autoload :symbol :symbol) ;; for testing delimiters (delimiter (:+ = + -) |{| (:upto (|}|) :chars) :append (:seq-of (:upto (|}|) :chars)) |}|) ;; (delim) ;; PigNose commands #+:bigpink (db reset) #+:bigpink ((:+ sos passive) (:+ = + -) |{| (:upto (|,| |}|) :sorts) :append (:seq-of |,| (:upto (|}| |,|) :sorts)) |}|) #+:bigpink (list (:+ axiom axioms sos usable flag param flags parameter parameters option options passive demod demodulator demodulators)) #+:bigpink (clause :term |.|) #+:bigpink (option (:one-of (reset) (= :symbol))) #+:bigpink ((:+ save-option save-options) :symbol) #+:bigpink (flag |(| :symbol |,| (:+ on off set clear) |)|) #+:bigpink (param |(| :symbol |,| :int |)|) #+:bigpink (resolve :args) #+:bigpink (demod (:if-present in :modexp |:|) (:seq-of :term) |.|) #+:bigpink (sigmatch |(| :modexp |)| (:+ to with) |(| :modexp |)|) #+:bigpink (lex |(| (:upto (|,| |)|) :opname) :append (:seq-of |,| (:upto (|,| |)|) :opname)) |)|) ;; misc toplevel commands (eof) #-CMU (#\^D) #+CMU (#\) ;; (prompt (:seq-of :top-opname)) ((:+ quit q |:q| |:quit|)) (cd :args) (pushd :args) (popd :args) (dirs) ;; #-(or GCL LUCID CMU) (ls :symbol) ;; #+(or GCL LUCID CMU) ;; (ls :top-opname) (ls :args) (dribble :symbol) (pwd) (! :top-term) ; shell escape (|.|) ;; (chaos :args) ;; new commands as of 2011/Q1 (? :args) ; help/messege description (?? :args) ; detailed help ;; new commands as of 2012/Q1 ((:+ names name) :modexp |.|) (look up (:if-present in :modexp |:|) (:seq-of :top-opname)) ;; term inspector ((:+ inspect inspect-term) :args) ;; generate reference manual (gendoc :symbol) (?example :args) (?ex :args) (?apropos :comment) (?ap :comment) ((:+ ?com ?command) :args) ((:+ command commands com)) ;; CITP commands (|:goal| |{| (:many-of #.EqDeclaration #.CeqDeclaration #.RlDeclaration #.CRlDeclaration #.BeqDeclaration #.BCeqDeclaration #.BRLDeclaration #.BCRLDeclaration #.FoplAXDeclaration) |}|) (|:apply| (:if-present to (:symbol)) (|(| (:seq-of :symbol) |)|)) (|:auto|) (|:ind| (:+ on |:on|) |(| (:seq-of :term) |)|) (|:roll| (:+ back |:back|)) (|:init| (:one-of (|(| (:one-of #.EqDeclaration #.CeqDeclaration #.RlDeclaration #.CRlDeclaration #.BeqDeclaration #.BCeqDeclaration #.BRLDeclaration #.BCRLDeclaration #.FoplAXDeclaration) |)|) (\[ (:symbol) \])) |by| |{| ((:! SubstList)) |}|) ((:+ |:imply| |:imp|) (\[ (:symbol) \]) |by| |{| ((:! SubstList)) |}|) (|:cp| (:one-of (|(| (:one-of #.EqDeclaration #.CeqDeclaration #.RlDeclaration #.CRlDeclaration #.BeqDeclaration #.BCeqDeclaration #.BRLDeclaration #.BCRLDeclaration #.FoplGoalDeclaration) |)|) (\[ (:symbol) \])) >< (:one-of (|(| (:one-of #.EqDeclaration #.CeqDeclaration #.RlDeclaration #.CRlDeclaration #.BeqDeclaration #.BCeqDeclaration #.BRLDeclaration #.BCRLDeclaration #.FoplGoalDeclaration) |)|) (\[ (:symbol) \]))) ((:+ |:equation| |:rule|)) (|:backward| (:+ equation rule |:equation| |:rule|)) (|:select| (:symbol)) ((:+ |:red| |lred| |:lred| |:exec| |:bred|) (:rdr #..term-delimiting-chars. (:if-present in :symbol |:|)) (:seq-of :term) |.|) (|:verbose| :symbol) ;; (|:normalize| :symbol) #.CTF #.CSP ((:+ |:show| |:sh| |:describe| |:desc|) :args) ((:+ |:def| |:define|) :symbol = (:one-of #.CTF #.CSP (|(| (:seq-of :symbol) |)|))) (|:spoiler| (:one-of (on) (off) (|.|))) (|:binspect| (:rdr #..term-delimiting-chars. (:if-present in :symbol |:|)) (:seq-of :term) |.|) (binspect (:rdr #..term-delimiting-chars. (:if-present in :modexp |:|)) (:seq-of :term) |.|) ((:+ |:bresolve| bresolve)) ((:+ |:bshow| bshow) :args) (|:set| |(| :symbol |,| (:+ on off set clear ? show) |)|) )) ; end Top-Form ;; some separated definitions of non-terminals. ;; -------------------------------------------------- ;; subterm specifier (Selector (:one-of (|{| :int :append (:seq-of |,| :int) |}|) (|(| (:seq-of :int) |)|) (\[ :int (:optional |..| :int) \]))) ;; parameter part ;; (Params (\[ (:! Param) :append (:seq-of |,| (:! Param)) \])) (Param (:one-of-default (:symbols |::| (:upto (|,| \] \)) :modexp)) ((:+ ex extending us using pr protecting inc including) :symbols |::| (:upto (|,| \] \)) :modexp)))) ;; Substitution ;; variable-1 <- term-1; ... variable-n <- term-n; ;; (SubstList ((:! Subst) :append (:seq-of (:! Subst) (:upto (|}|))))) (SubstList ((:! Subst) :append (:seq-of (:! Subst)))) ;; (Subst ((:term <- :term) |;|)) (Subst ((:symbol <- :term) |;|)) )) ; end of *cafeobj-scheme* ) ; end eval-when ;;; EOF cafeobj-1.5.4/cafeobj/declarations.lisp0000644000000000000000000001536312605345045016556 0ustar rootroot;;;-*- Mode:LISP; Package:CHAOS; Base:10; Syntax:Common-lisp -*- #|============================================================================== System: CHAOS Module: cafeobj File: declarations.lisp ==============================================================================|# ;;; ;;; Copyright (c) 2000-2015, Toshimi Sawada. All rights reserved. ;;; ;;; Redistribution and use in source and binary forms, with or without ;;; modification, are permitted provided that the following conditions ;;; are met: ;;; ;;; * Redistributions of source code must retain the above copyright ;;; notice, this list of conditions and the following disclaimer. ;;; ;;; * Redistributions in binary form must reproduce the above ;;; copyright notice, this list of conditions and the following ;;; disclaimer in the documentation and/or other materials ;;; provided with the distribution. ;;; ;;; THIS SOFTWARE IS PROVIDED BY THE AUTHOR 'AS IS' AND ANY EXPRESSED ;;; OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED ;;; WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ;;; ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY ;;; DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL ;;; DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE ;;; GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS ;;; INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, ;;; WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING ;;; NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS ;;; SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. ;;; (in-package :chaos) #-:chaos-debug (declaim (optimize (speed 3) (safety 0) #-GCL (debug 0))) #+:chaos-debug (declaim (optimize (speed 1) (safety 3) #-GCL (debug 3))) ;;; ---------------------------------------- ;;; register declarations keywords ;;; ---------------------------------------- (eval-when (:execute :load-toplevel) (clrhash *cafeobj-declarations*) ;;; ;;; All the Declaration forms -------------------------------------------------------------- ;;; (define ("bsort") :type :inner-module :category :signature :parser process-bsort-declaration :evaluator eval-ast) (define ("[") :type :inner-module :category :signature :parser process-sort-and-subsort-form :evaluator eval-ast) (define ("hidden" "*") :type :inner-module :category :signature :parser process-hidden-sort-form :evaluator eval-ast) (define ("op") :type :inner-module :category :signature :parser process-operator-declaration-form :evaluator eval-ast) (define ("ops") :type :inner-module :category :signature :parser process-operators-declaration-form :evaluator eval-ast) (define ("bop") :type :inner-module :category :signature :parser process-operator-declaration-form :evaluator eval-ast) (define ("bops") :type :inner-module :category :signature :parser process-boperators-declaration-form :evaluator eval-ast) (define ("pred" "pd") :type :inner-module :category :signature :parser process-predicate-declaration-form :evaluator eval-ast) (define ("preds" "pds") :type :inner-module :category :signature :parser process-predicates-declaration-form :evaluator eval-ast) (define ("dpred") :type :inner-module :category :signature :parser process-predicate-declaration-form :evaluator eval-ast) (define ("bpred" "bpd") :type :inner-module :category :signature :parser process-predicate-declaration-form :evaluator eval-ast) (define ("bpreds" "bpds") :type :inner-module :category :signature :parser process-bpredicates-declaration-form :evaluator eval-ast) (define ("dbpred") :type :inner-module :category :signature :parser process-predicate-declaration-form :evaluator eval-ast) #|| obsolete (define ("rec" "record") :type :inner-module :category :signature :parser process-record-declaration-form :evaluator eval-ast) ||# (define ("let") :type :inner-module :category :axiom :parser process-let-declaration-form :evaluator eval-ast) (define ("#define") :type :inner-module :category :axiom :parser process-macro-declaration-form :evaluator eval-ast) (define ("eq" "cq" "ceq" "rule" "rl" "crl" "crule" "trans" "ctrans" "tr" "ctr" "beq" "bceq" "brule" "brl" "bcrule" "bcrl" "btrans" "btr" "bctrans" "bctr") :type :inner-module :category :axiom :parser process-axiom-form :evaluator eval-ast) (define ("var" "vars") :type :inner-module :category :axiom :parser process-variable-declaration-form :evaluator eval-ast) (define ("pvar" "pvars") :type :inner-module :category :axiom :parser process-pseud-variable-declaration-form :evaluator eval-ast) (define ("fax" "bfax" "ax" "bax" "frm" "bfrm") :type :inner-module :category :axiom :parser pignose-process-fax-proc :evaluator eval-ast) (define ("goal" "bgoal") :type :inner-module :category :axiom :parser pignose-process-goal-proc :evaluator eval-ast) (define ("imports" "import") :type :inner-module :category :signature :parser parse-imports-form :evaluator eval-ast) (define ("pr" "protecting" "ex" "extending" "us" "using" "inc" "including") :type :inner-module :category :import :parser process-importation-form :evaluator eval-ast) (define ("--" "**") :type :inner-module :category :ignore :parser parse-decl-do-nothing :evaluator eval-decl-do-nothing) (define ("-->") :type :inner-module :category :ignore :parser parse-dynamic-comment-1 :evaluator eval-decl-do-nothing) (define ("**>") :type :inner-module :category :ignore :parser parse-dynamic-comment-2 :evaluator eval-decl-do-nothing) (define ("ev" "lisp" "evq" "lispq") :type :inner-module :category :ignore :parser process-ev-lisp-form :evaluator eval-decl-do-nothing) (define ("eval") :type :inner-module :category :misc :parser parse-eval-form :evaluator eval-ast) (define ("sig" "signature") :type :inner-module :category :signature :parser process-signature :evaluator eval-ast) (define ("axioms" "axiom" "axs") :type :inner-module :category :axiom :parser process-axioms-declaration :evaluator eval-ast) (define (".") ; sole dot :type :inner-module :category :ignore :parser parse-decl-do-nothing :evaluator eval-decl-do-nothing) ;;; ) ; end eval-when ;;; EOF cafeobj-1.5.4/cafeobj/define.lisp0000644000000000000000000001741512605345045015340 0ustar rootroot;;;-*- Mode:LISP; Package:CHAOS; Base:10; Syntax:Common-lisp -*- #|============================================================================== System: CHAOS Module: cafeobj File: define.lisp ==============================================================================|# ;;; ;;; Copyright (c) 2000-2015, Toshimi Sawada. All rights reserved. ;;; Copyright (c) 2014-2015, Norbert Preining. All rights reserved. ;;; ;;; Redistribution and use in source and binary forms, with or without ;;; modification, are permitted provided that the following conditions ;;; are met: ;;; ;;; * Redistributions of source code must retain the above copyright ;;; notice, this list of conditions and the following disclaimer. ;;; ;;; * Redistributions in binary form must reproduce the above ;;; copyright notice, this list of conditions and the following ;;; disclaimer in the documentation and/or other materials ;;; provided with the distribution. ;;; ;;; THIS SOFTWARE IS PROVIDED BY THE AUTHOR 'AS IS' AND ANY EXPRESSED ;;; OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED ;;; WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ;;; ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY ;;; DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL ;;; DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE ;;; GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS ;;; INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, ;;; WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING ;;; NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS ;;; SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. ;;; (in-package :chaos) #-:chaos-debug (declaim (optimize (speed 3) (safety 0) #-GCL (debug 0))) #+:chaos-debug (declaim (optimize (speed 1) (safety 3) #-GCL (debug 3))) ;;; ****** ;;; DEFINE : define command or declaration ;;; ****** (defvar *cafeobj-top-commands* (make-hash-table :test #'equal)) (defvar *cafeobj-declarations* (make-hash-table :test #'equal)) (defstruct (comde (:print-function print-comde)) (key "" :type string) ; command/declaration keyword (type nil :type symbol) ; command or declaration (category nil :type symbol) ; kind of command/declaration (parser nil :type symbol) ; parser function (evaluator nil :type symbol) ; evaluator function ) (defparameter .valid-comde-types. '(:top :inner-module :doc-only)) (defparameter .valid-decl-categories. '(:decl-toplevel ; toplevel declaration, such as 'module', 'view', e.t.c. ; i.e., declarations which can apper at toplevel. :signature ; signature part of module body, such as 'op' '[', e.t.c :axiom ; axiom part of mdoule body, such as 'eq, ceq', e.t.c :ignore ; comments, dot (.), lisp, ev, e.t.c. :import ; import part of module body, such as 'protecting' :misc )) (defparameter .valid-com-categories. '(:decl ; toplevel declaration, such as 'module', 'view', e.t.c. :checker ; check command :rewrite ; commands related to rewriting, such as 'reduce', 'execute', e.t.c. :parse ; commands related to parsing terms, such as 'parse', e.t.c :inspect ; commands inspecting modules, terms, such as 'show', 'match', e.t.c :element ; declarations which can apper when a module is open. :proof ; commands related to proof stuff, such as 'open', 'apply, e.t.c. :switch ; 'set' commands :system ; various system related commands, such as 'protect', 'reset', e.t.c. :library ; library related commands, such as 'autoload', 'provide', e.t.c. :help ; '?', '??' :io ; 'input', 'save', e.t.c. :misc ; )) (defun print-comde (me &optional (stream *standard-output*) &rest ignore) (declare (ignore ignore)) (format stream "~%** key : ~a" (comde-key me)) (format stream "~% type : ~a" (comde-type me)) (format stream "~% category : ~a" (comde-category me)) (format stream "~% parser : ~a" (comde-parser me)) (format stream "~% evaluator : ~a" (comde-evaluator me))) (defparameter .category-descriptions. '((decl "CafeOBJ top-level declarations, such as 'module', 'view'.") (element "Declarations of module constructs, such as 'op', 'eq' ...") (parse "Commands parsing a term in the specified context.") (rewrite "Invokes term rewriting engine in various manner.") (inspect "Inspecting everhthing you want.") (switch "Commands controlling system's behavior.") (proof "Theorem proving commands.") (checker "Commands checking interesting properties of a module.") (library "Library related commands.") (system "System related commands.") (io "File input/output commands.") (misc "Miscellaneous commands.") (help "Online help commands."))) ;;; ;;; get-command-info ;;; (defun get-command-info (key) (gethash key *cafeobj-top-commands*)) (defun show-top-entries () (let ((keys nil)) (maphash #'(lambda (k v) (declare (ignore v)) (push k keys)) *cafeobj-top-commands*) (setq keys (sort keys #'string<=)) (dolist (key keys) (format t "~s" (get-command-info key))))) ;;; ;;; get-decl-info ;;; (defun get-decl-info (key) (gethash key *cafeobj-declarations*)) (defun show-decl-entries () (let ((keys nil)) (maphash #'(lambda (k v) (declare (ignore v)) (push k keys)) *cafeobj-declarations*) (setq keys (sort keys #'string<=)) (dolist (key keys) (format t "~s" (get-decl-info key))))) ;;; ;;; DEFINE ;;; (defmacro define ((&rest keys) &key (type :top) (category :misc) (parser nil) (evaluator 'eval-ast) (doc nil) (title nil) (example nil) (related nil) (mdkey nil)) (case type (:top (unless (member category .valid-com-categories.) (error "Internal error, invalid category ~s" category))) (:inner-module (unless (member category .valid-decl-categories.) (error "Internal error, invalid category ~s" category))) (:doc-only) (:otherwise (error "Internal error, invalid type ~s" type))) (unless (eq type :doc-only) (unless (fboundp parser) (warn "no parser ~s" parser)) (unless (fboundp evaluator) (warn "no evaluator ~s" evaluator))) ;; `(progn (unless (eq ,type :doc-only) (let ((hash (if (or (eq ,type :top) (eq ,category :decl-toplevel)) *cafeobj-top-commands* *cafeobj-declarations*))) (dolist (key ',keys) (setf (gethash key hash) (make-comde :key key :type ',type :category ',category :parser ',parser :evaluator ',evaluator))))) ;; set online help (register-online-help (car ',keys) (cdr ',keys) ',title ',mdkey ',doc ',example ',related ',category))) (defun print-comde-usage (com) (format t "~&[Usage] ~s, not yet" com)) ;;; EOF cafeobj-1.5.4/cafeobj/oldoc.lisp0000644000000000000000000005667412605345045015220 0ustar rootroot;;;-*- Mode:LISP; Package:CHAOS; Base:10; Syntax:Common-lisp -*- #|============================================================================== System: CHAOS Module: cafeobj File: oldoc.lisp ==============================================================================|# ;;; ;;; Copyright (c) 2000-2015, Toshimi Sawada. All rights reserved. ;;; Copyright (c) 2014-2015, Norbert Preining. All rights reserved. ;;; ;;; Redistribution and use in source and binary forms, with or without ;;; modification, are permitted provided that the following conditions ;;; are met: ;;; ;;; * Redistributions of source code must retain the above copyright ;;; notice, this list of conditions and the following disclaimer. ;;; ;;; * Redistributions in binary form must reproduce the above ;;; copyright notice, this list of conditions and the following ;;; disclaimer in the documentation and/or other materials ;;; provided with the distribution. ;;; ;;; THIS SOFTWARE IS PROVIDED BY THE AUTHOR 'AS IS' AND ANY EXPRESSED ;;; OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED ;;; WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ;;; ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY ;;; DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL ;;; DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE ;;; GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS ;;; INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, ;;; WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING ;;; NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS ;;; SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. ;;; (in-package :chaos) #-:chaos-debug (declaim (optimize (speed 3) (safety 0) #-GCL (debug 0))) #+:chaos-debug (declaim (optimize (speed 1) (safety 3) #-GCL (debug 3))) ;;; ***************************************************** ;;; On line document for commands, declarations or others ;;; ***************************************************** ;; In the online documentation system we have to deal with a variety ;; of string with lots of different relations to functionality. ;; ;; Contents of oldoc entry ;; ----------------------- ;; * title - shown on top of online output and as section head in print ;; * doc - body of the documentation ;; * mdkey - the key used in the markdown version as anchor (\label) ;; * example - if present will be shown in the markdown version (print) ;; and shown by ?ex ;; * related - a list of related concepts ;; * names - list of strings that where passed in during generation time ;; and one more, that is the ;; * key - a key into a hash table ;; ;; ;; How these strings are generated ;; ------------------------------- ;; Generation of oldoc entries happen during (define "cmd" ...) calls in ;; cafeobj/commands.lisp ;; and is governed by the following rules ;; * if no :doc key is present, no oldoc entry is generated ;; * if no :title key is present, then the first argument to (define ...) call ;; is enclosed in backquotes and used as title. ;; Example: (define ("full reset" "full-reset" "full") ...) ;; does not have a :title key, so the string ;; `full reset` ;; is used as title. ;; * if no :mdkey is given, then the first argument is used as is. ;; ;; Notes: ;; * key is generated by from the first entry in the define call ;; via ;; (oldoc-make-key ) ;; but then we have to sort via the reduced title, and there we have ;; entries like "[sys:]module" entries which would be sorted wrongly ;; ;; How search strings are used/parsed ;; ---------------------------------- ;; "Search strings" are arguments passed to functions: ?, ?ex, ?ap ;; These functions are defined as :arg parsing, so we receive ;; (after some mangling) a list of strings as "question" ;; ;; Example: ;; ? clean me ;; will call the various ? related functions with ;; question = ("clean" "me") ;; ;; Notes: - argument parsing is space-disregarding, tokenizing after whitespace ;; - " quoted strings are only partially supported, if at all (WIP) ;; ;; ;; What and how search functions do ;; -------------------------------- ;; * ? and ?ex behave in the same way: ;; - strings searched ;; . reduced title - strip all backquotes but leave otherwise as is ;; . all names ;; (do not search title as is, too much duplication!) ;; procedure see below ;; - how search is performed ;; . format question argument list into one string with one space ;; separation ;; ("clean" "`me`") -> "clean `me`" ;; . create reduce version of it -> "clean me" (call this "redss") ;; . generate key from redss ;; . if this key gives a direct hit, use it ;; . if not ;; . for each entry in the main table ;; . if redss prefix-match reduced title -> flag entry ;; . for each alternative names (these are the arguments to define!) ;; . if redss prefix-matches alternative name -> flag entry ;; . if more than one entry is flagged, offer choices ;; . if only one entry is flagged, display it ;; ;; ;; * ?ap ;; - strings searched ;; . full title, reduced title ;; . all names ;; . doc ;; . ex ;; format it as follow ~a~%~a~%~{~a~^~%~}~a~%~a ;; full title, red title, ("all" "name") doc ex ;; Call the resulting string full search string "fullss" ;; procedure see below ;; - how search is performed ;; . for each entry in the main table do ;; . for each element x in the question list do ;; . if x looks like a regex, do regex matching ;; . otherwise do substring matching ;; . if all the matches in the previous loop returned true, flag it ;; . list all the flagged functions, or say no match ;; ;; TOPLEVEL entry functions ;; ;; the following functions are called from the toplevel evaluation loop ;; in particular when one of the ? commands, and gendoc is called. ; ; oldoc-get-documentation ; returns the formatted string for display on the console ; returns nil if nothing found (defun oldoc-get-documentation (question &key (main t) (example nil) (apropos nil) (related t)) (if apropos (oldoc-search-all question) (let ((doc (oldoc-find-doc-entry question))) (if (not (listp doc)) (oldoc-format-documentation doc :raw nil :main main :example example :related related) (progn (if doc (format t "Did you mean one of ~a~%" doc)) nil))))) ;; oldoc-list-categories ;; (declaim (special .category-descriptions. .valid-com-categories.)) (defun oldoc-list-categories (cat) (unless cat (format t "** ======================================================================~%") (format t "COMMAND CLASSES:~%") (format t "'?com ' shows the list of commands classified by .~2%") (format t "class~10Tdescription~%") (format t "-------------------------------------------------------------------------~%") (dolist (entry .category-descriptions.) (format t "~a~10T~a~%" (first entry) (second entry))) (return-from oldoc-list-categories nil)) ;; gather commands (unless (member (car cat) .valid-com-categories. :test #'(lambda (x y) (string-equal x (symbol-name y)))) (with-output-chaos-error ('invalid-category) (format t "System does not know the command class '~a'.~%" (car cat)) (format t "Type '?cat' for the list of available class names."))) (let ((docs (oldoc-get-documents-by-category (car cat)))) (unless docs (with-output-chaos-warning () (format t "Sorry, the commands classified as '~a' not found." (car cat))) (return-from oldoc-list-categories nil)) (format t "The list of commands classified as '~a'.~%" (car cat)) (format t "Type '? ' for the online document of .~%") (format t "==========================================================================") (do* ((dl docs (cdr dl)) (doc (car dl) (car dl)) (n 0 (1+ n))) ((endp dl)) (let ((key (car doc)) (desc (cdr doc))) (format t "~%~a~% ~a" key (format-markdown (oldoc-title desc))))))) ;; ;; INTERNAL functioons ;; not used outside this module ;; (defvar *cafeobj-doc-db* (make-hash-table :test #'equal)) (defvar *cafeobj-alias-db* (make-hash-table :test #'equal)) (defstruct (oldoc (:print-function print-online-document)) (key "" :type string) ; (category nil :type symbol) ; cateogry name of the subject (main "" :type string) ; document string of commad/declaration (title "" :type string) ; title (rtitle "" :type string) ; reduced title for search (example "" :type string) ; examples (mdkey "" :type string) ; key written to reference manual (names nil :type list) ; (related nil :type list) ; related commands (cache nil) ; formatted doc cache for online help ) (defun print-online-document (doc &optional (stream *standard-output*) &rest ignore) (declare (ignore ignore)) (format stream "~%*** key : ~a" (oldoc-key doc)) (format stream "~&red-title : ~a" (oldoc-rtitle doc)) (format stream "~&title : ~a" (oldoc-title doc)) (format stream "~&mdkey : ~a" (oldoc-mdkey doc)) (format stream "~&main : ~a" (oldoc-main doc)) (format stream "~&example : ~a" (oldoc-example doc)) (format stream "~&names : ~a" (oldoc-names doc)) (format stream "~&related : ~a" (oldoc-related doc)) (format stream "~&cache : ~a" (oldoc-cache doc)) (format stream "~&cateogry : ~a" (oldoc-category doc))) (defun oldoc-make-key (whatever) whatever) ; (sxhash whatever)) (defun oldoc-question-to-string (question) (format nil "~{~a~^ ~}" question)) (defun oldoc-find-doc-entry (question) (let* ((redss (oldoc-reduce-string (oldoc-question-to-string question))) (key (oldoc-make-key redss)) (docref (gethash key *cafeobj-alias-db*))) (if docref (gethash docref *cafeobj-doc-db*) ;; search for similar names (let* ((similar-keys nil) (redsslen (length redss))) (maphash #'(lambda (k v) (if (and (>= (length (oldoc-rtitle v)) redsslen) (string-equal redss (subseq (oldoc-rtitle v) 0 redsslen))) (push (cons k (list (oldoc-title v))) similar-keys) (dolist (n (oldoc-names v)) (if (and (>= (length n) redsslen) (string-equal redss (subseq n 0 redsslen))) (progn (push (cons k (list (oldoc-title v))) similar-keys) (return)))))) *cafeobj-doc-db*) ;; if only one similar name is found, return the entry for it (if (= 1 (length similar-keys)) (gethash (car (car similar-keys)) *cafeobj-doc-db*) ;; otherwise generate the list of " quoted possible names (map 'list #'(lambda (x) (concatenate 'string "\"" x "\"")) (apply #'append (map 'list 'cdr similar-keys)))))))) (defun oldoc-format-related (doc &key (raw nil)) (let (outlist targetdoc targettitle) (dolist (r (oldoc-related doc)) (if (atom r) (progn (setq targettitle (format nil "`~a`" r)) (setq targetdoc (oldoc-find-doc-entry (list r)))) (progn (setq targettitle (car r)) (if (cdr r) (setq targetdoc (oldoc-find-doc-entry (cdr r))) (setq targetdoc (oldoc-find-doc-entry (list (car r))))))) (if (listp targetdoc) ; problem - found several entries (if targetdoc (if raw (push (format nil "\[~a\]\(\#~a\)" targettitle "multiple_targets") outlist) (push (format nil "~a" targettitle) outlist)) (if raw (push (format nil "\[~a\]\(\#~a\)" targettitle "target_not_found") outlist) (push (format nil "~a" targettitle) outlist))) (if raw (push (format nil "\[~a\]\(\#~a\)" targettitle (oldoc-mdkey targetdoc)) outlist) (push (format nil "~a" targettitle) outlist)))) (if outlist (format nil "~{~a~^, ~}" outlist) ""))) (defun oldoc-format-documentation (doc &key (raw nil) (main t) (example nil) (related t)) (let ((outstr "") (title (oldoc-title doc)) (mainstr (oldoc-main doc)) (exstr (oldoc-example doc)) (relstr (oldoc-format-related doc :raw raw)) (usecache (and main related (not raw) (not example)))) (if (not raw) (or (and usecache (oldoc-cache doc)) (progn (if main (setq outstr (format nil "~a~2%~a~2%" title mainstr))) ; related dealing (if (and related (not (string-equal relstr ""))) (setq outstr (format nil "~aRelated: ~a~2%" outstr relstr))) ; example dealing (if (not (string-equal exstr "")) ; we have examples available (if main (if (not example) (setq outstr (format nil "~a(Examples available)~2%" outstr)) (setq outstr (format nil "~aExamples:~%~a" outstr exstr))) (if (not example) ; huu? don't show main and don't show examples? (setq outstr (format nil "~a(Nothing to show?)~%" outstr)) ; don't show main, but examples, add also title! (setq outstr (format nil "Example(s) for ~a~2%~a" title exstr))))) ; manage cache (if usecache (setf (oldoc-cache doc) (format-markdown outstr)) (format-markdown outstr)))) (progn ;; case for raw output (setq outstr (format nil "## ~a ## {#~a}~2%" title (oldoc-mdkey doc))) (if main (setq outstr (format nil "~a~a~2%" outstr mainstr))) (if (and related (not (string-equal relstr ""))) (setq outstr (format nil "~aRelated: ~a~2%" outstr relstr))) (if (and example (not (string-equal exstr ""))) (setq outstr (format nil "~a### Example ###~2%~a~2%" outstr exstr))) outstr)))) ; (defun show-doc-entries () ; (let ((keys nil)) ; (maphash #'(lambda (k v) (declare (ignore v)) (push k keys)) *cafeobj-doc-db*) ; (setq keys (sort keys #'string<=)) ; (dolist (key keys) ; (let ((oldoc (get-document-string-from-doc (gethash key *cafeobj-doc-db*)))) ; (format t "~s" oldoc))))) ;;; ;;; search for an arbitrary regexp in all main strs, and return ;;; string that lists all possible matches ;;; (defun oldoc-is-regex (re) (not (cl-ppcre:scan "^[\\w\\s]*$" re))) (defun oldoc-parse-to-words (str) (let ((outlst nil) (re (cl-ppcre:create-scanner " (?: (\") ((?>[^\\\"]*(?:\\.[^\\\"]*)*))\" | (') ((?>[^\\']*(?:\\.[^\\']*)*))' | ( (?:\\.|[^\\\"'])*? ) ( \\z | (?=([\\s]+)) | (?!^)(?=[\"']) ) )" :extended-mode t))) (map 'list #'(lambda (x) (if (not (string-equal x "")) (push (string-trim "\"'" x) outlst))) (cl-ppcre:all-matches-as-strings re str)) outlst)) (defun oldoc-search-all (question) ; oldoc is special as ?ap is using the :comment reader, which means we ; get one string till the end of line as argument. (let ((retstr "") (matching-docs nil) (matchers (map 'list #'(lambda (x) (if (oldoc-is-regex x) (handler-case ; we might get a string that is not a proper regexp, ; in this case fall back to use it as substring search (let ((re (cl-ppcre:create-scanner x :case-insensitive-mode :multi-line-mode))) (lambda (y) (cl-ppcre:scan re y))) (cl-ppcre:ppcre-syntax-error (condition) (format t "[Error] Cannot parse as regexp: ~S~%Treating it as normal string!~%" (cl-ppcre:ppcre-syntax-error-string condition)) (lambda (y) (search x y)))) (lambda (y) (search x y)))) (oldoc-parse-to-words (car question))))) (maphash #'(lambda (key oldoc) (declare (ignore key)) (let* ((fullss (oldoc-reduce-string (format nil "~a~%~{~a~^~%~}~a~%~a" (oldoc-title oldoc) (oldoc-names oldoc) (oldoc-main oldoc) (oldoc-example oldoc)))) (found (every #'identity (map 'list #'(lambda (x) (apply x (list fullss))) matchers)))) (when found (push (oldoc-title oldoc) matching-docs)))) *cafeobj-doc-db*) ; create the return string from the list of found keys (when matching-docs (setq retstr (format nil "Found the following matches:~% . ~{~a~^~% . ~}" matching-docs))) (if (string= retstr "") (setq retstr (format nil "No matches found!~%"))) retstr)) ;;; ;;; ;;; register-online-help : names doc ;;; (defun register-online-help (mainname aliasnames title mdkey doc example related &optional (category 'misc)) (unless doc (return-from register-online-help nil)) (unless (stringp doc) (return-from register-online-help nil)) ; for each key generated from any name we generate an entry ; from that key to each key generated from the mainname ; (although there should be only one mainname and mainkey (?) (let ((mainkey (oldoc-make-key mainname))) (dolist (name (cons mainname aliasnames)) (let ((key (oldoc-make-key name))) (setf (gethash key *cafeobj-alias-db*) mainkey))) ; if the tile is not given, we use the mainname enclosed in ` ` ; if the mdkey is not given, we use the mainname as is (let* ((dt (or title (concatenate 'string "`" mainname "`"))) (rt (oldoc-reduce-string dt))) (setf (gethash mainkey *cafeobj-doc-db*) (make-oldoc :key mainkey :main doc :title dt :rtitle rt :mdkey (or mdkey (funcall #~s/^:/citp-/ mainname)) :example (or example "") :related related :names (cons mainname aliasnames) :category category))))) ;; ;; format-markdown and oldoc-reduce-string are similar, but serve different ;; purpose: ;; * format-markdown is used when formattting a markdown string for ;; online display ;; * oldoc-reduce-string is used as search basis of strings (defparameter .md-remove-hash-hash. #~s/##//) (defparameter .md-remove-link. #~s/{#.*}//) (defparameter .md-remove-link2. #~s/\(#.+\)//) (defparameter .md-remove-code-sign. #~s/~~//) (defparameter .md-replace-tilde. #~s/~/*/) (defparameter .md-replace-bq. #~s/`/'/) (defparameter .md-remove-bq. #~s/`//) (defun format-markdown (str) (funcall .md-replace-bq. (funcall .md-replace-tilde. (funcall .md-remove-code-sign. (funcall .md-remove-link2. (funcall .md-remove-link. (funcall .md-remove-hash-hash. str))))))) (defun oldoc-reduce-string (str) (funcall .md-remove-bq. (funcall .md-remove-link2. (funcall .md-remove-link. (funcall .md-remove-hash-hash. str))))) ;;; ;;; Export ;;; export document string to a file. ;;; (defvar .out-done. (make-hash-table :test #'equal)) ; refman-sort determines the order in the reference manual based on the ; keys. For now we simply sort alphabetically but ignore leading : ; from the CITP commands, so that ; :foobar ; is sorted near f and not at the beginning. (defun refman-sort (a b) (let ((aa (funcall #~s/^:// a)) (bb (funcall #~s/^:// b))) (string-lessp aa bb))) (defun export-refman (&optional (output "manual/md/reference.md")) (clrhash .out-done.) (let (data) (with-open-file (out output :direction :output :if-exists :supersede :if-does-not-exist :create) (maphash #'(lambda (k oldoc) (let ((docstr (oldoc-format-documentation oldoc :raw t :main t :example t))) (unless docstr (error "The document string not found for ~s." k)) ; we would like to use the reduced title as sort criteria ; but in this case we get problems with entries like ; [sys:]module which is sorted around [ which is bad. ; TODO: add a key sort string or recognize []? ; (push (cons (oldoc-rtitle oldoc) docstr) data))) (push (cons k docstr) data))) *cafeobj-doc-db*) (setq data (sort data #'refman-sort :key #'car)) (dolist (d data) (unless (gethash (car d) .out-done.) (format out "~a" (cdr d)) (setf (gethash (car d) .out-done.) t)))))) ;;; ;;; show-undocumented ;;; list up undocumented, i.e. each keyword in *cafeobj-doc-db* which has no main in ;;; its oldoc. ;;; (defparameter .todo. #~m/TODO/) (defun show-undocumented (&rest ignore) (declare (ignore ignore)) (let ((docs nil)) (maphash #'(lambda (key oldoc) (declare (ignore key)) (let* ((str (oldoc-main oldoc)) (doc (cl-ppcre:split "\\s+" str))) (when (or (null doc) (null (cdr doc)) (funcall .todo. str)) (push oldoc docs)))) *cafeobj-doc-db*) (setq docs (sort docs #'string<= :key #'oldoc-key)) (format t "~%The following commands/declarations/concepts are not yet documented.") (dolist (doc docs) (format t "~%** key : ~s" (oldoc-key doc)) (format t "~& names : ~s" (oldoc-names doc))))) ;; oldoc-get-documents-by-category ;; returns the list of (defun oldoc-get-documents-by-category (cat) (let ((coms nil)) (maphash #'(lambda (key oldoc) (let ((oldoc-cat (oldoc-category oldoc))) (when (string-equal cat (symbol-name oldoc-cat)) (push (cons key oldoc) coms)))) *cafeobj-doc-db*) (sort coms #'ob< :key #'car))) ;;; EOF cafeobj-1.5.4/cafeobj/trans-com.lisp0000644000000000000000000004227012605345045016006 0ustar rootroot;;;-*- Mode:LISP; Package:CHAOS; Base:10; Syntax:Common-lisp -*- ;;; ;;; Copyright (c) 2000-2015, Toshimi Sawada. All rights reserved. ;;; ;;; Redistribution and use in source and binary forms, with or without ;;; modification, are permitted provided that the following conditions ;;; are met: ;;; ;;; * Redistributions of source code must retain the above copyright ;;; notice, this list of conditions and the following disclaimer. ;;; ;;; * Redistributions in binary form must reproduce the above ;;; copyright notice, this list of conditions and the following ;;; disclaimer in the documentation and/or other materials ;;; provided with the distribution. ;;; ;;; THIS SOFTWARE IS PROVIDED BY THE AUTHOR 'AS IS' AND ANY EXPRESSED ;;; OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED ;;; WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ;;; ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY ;;; DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL ;;; DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE ;;; GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS ;;; INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, ;;; WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING ;;; NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS ;;; SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. ;;; (in-package :chaos) #|============================================================================== System: CHAOS Module: cafeobj File: trans-com.lisp ==============================================================================|# #-:chaos-debug (declaim (optimize (speed 3) (safety 0) #-GCL (debug 0))) #+:chaos-debug (declaim (optimize (speed 1) (safety 3) #-GCL (debug 3))) ;;; == DESCRIPTION ============================================================= ;;; Translators from CafeOBJ toplevel command to Chaos script language. ;;; ---------------------------------------------------------------------------- ;;; ***************************** ;;; REDUCE/EXEC/PARSE/TEST-REDUCE ;;; ***************************** (defun parse-in-context-modexp-with-term (e) (let (modexp preterm) (if (= 4 (length e)) (progn (setq modexp (parse-modexp (cadr (cadr e)))) (setq preterm (nth 2 e))) (progn (setq modexp nil) (setq preterm (nth 1 e)))) (values modexp preterm))) ;;; "reduce" [ "in" ":" ] . ;;; (defun parse-reduce-command (e &rest ignore) (declare (ignore ignore)) (multiple-value-bind (modexp preterm) (parse-in-context-modexp-with-term e) (%reduce* preterm modexp ':red))) ;;; "execute" [ "in" ":" ] . ;;; (defun parse-exec-command (e &rest ignore) (declare (ignore ignore)) (multiple-value-bind (modexp preterm) (parse-in-context-modexp-with-term e) (%reduce* preterm modexp ':exec))) (defun parse-exec+-command (e &rest ignore) (declare (ignore ignore)) (multiple-value-bind (modexp preterm) (parse-in-context-modexp-with-term e) (%reduce* preterm modexp ':exec+))) ;;; "bred" [ "in" ":" ] . ;;; (defun parse-bred-command (e &rest ignore) (declare (ignore ignore)) (multiple-value-bind (modexp preterm) (parse-in-context-modexp-with-term e) (%reduce* preterm modexp ':bred))) ;;; "parse" [ "in" ":" ] . ;;; (defun parse-parse-command (e &rest ignore) (declare (ignore ignore)) (multiple-value-bind (modexp preterm) (parse-in-context-modexp-with-term e) (%parse* preterm modexp))) ;;; "test {reduce | exec | bred} " ;;; [ "in" ":" ] :expect . ;;; (defun parse-test-reduction (e &rest ignore) (declare (ignore ignore)) (let ((mode-spec (second e)) (mode nil)) (case-equal mode-spec (("exec" "execute") (setq mode :exec)) (("reduce" "red") (setq mode :red)) (("behavioural-reduce" "bred") (setq mode :bred)) (t (with-output-chaos-error ('invalid-op) (format t "invalid `test' command option ~S" mode)) )) (setq e (cddr e)) (let ((modexp nil) (preterm nil) (expect nil)) (cond ((and (consp (car e)) (equal "in" (caar e))) (setf modexp (parse-modexp (second (car e)))) (setf preterm (second e)) (setf expect (fourth e))) (t (setf modexp nil) (setf preterm (first e)) (setf expect (third e)))) (%test-reduce* preterm expect modexp mode)))) ;;; **** ;;; TRAM ;;; **** (defun parse-tram-command (inp &rest ignore) (declare (ignore ignore)) (let ((args (cadr inp)) (command nil)) (case-equal (car inp) (("red" "reduce") (setq command :reduce)) (("exec" "execute") (setq command :execute)) (("compile") (setq command :compile)) (("reset") (setq command :reset)) (otherwise (with-output-chaos-error () (format t "unknown tram command ~a" (car inp))))) (if (eq command :compile) (let ((debug nil)) (loop (case-equal (car args) (("-a" "-all" "-e" "-exec") (setq command :compile-all) (setq args (cdr args))) (("-d" "-debug") (setq debug t) (setq args (cdr args))) (t (return nil)))) (%make-tram :command command :modexp args :debug debug)) (multiple-value-bind (modexp preterm) (parse-in-context-modexp-with-term inp) (%make-tram :command command :modexp modexp :term preterm))))) ;;; ******** ;;; AUTOLOAD ;;; ******** (defun parse-autoload-command (inp &rest ignore) (declare (ignore ignore)) (let ((mod-name (second inp)) (file (third inp))) (%autoload* mod-name file))) ;;; ;;; NO AUTOLOAD ;;; (defun parse-no-autoload-command (inp &rest ignore) (declare (ignore ignore)) (let ((mod-name (second inp))) (%no-autoload* mod-name))) ;;; ****** ;;; CBREAD ;;; ****** ;;; cbred [in : ] LHS = RHS . ;;; (defun parse-cbred-command (toks &rest ignore) (declare (ignore ignore)) (multiple-value-bind (modexp preterm) (parse-in-context-modexp-with-term toks) (let ((lhs nil) (rhs nil)) ;; (loop (when (or (null preterm) (member (car preterm) '("=" "=b=" "==") :test #'equal)) (return)) (push (car preterm) lhs) (setq preterm (cdr preterm))) (setq lhs (nreverse lhs)) (setq rhs (cdr preterm)) (unless (and lhs rhs) (with-output-chaos-error ('invalid-command-form) (princ "cbred: syntax error: ") (princ toks))) (%cbred* modexp lhs rhs)))) ;;; ******* ;;; LOOK UP ;;; ******* (defun parse-in-context-modexp-with-name (e) (let (modexp name) (setq e (cddr e)) (if (cdr e) (progn (setq modexp (parse-modexp (second (first e)))) (setq name (second e))) (progn (setq modexp nil) (setq name (first e)))) (values modexp name))) (defun parse-look-up-command (e &rest ignore) (declare (ignore ignore)) (multiple-value-bind (modexp name) (parse-in-context-modexp-with-name e) (%look-up* name modexp))) ;;; ***** ;;; SCASE ;;; ***** ;;; scase () in () as { ... } : . ;;; ("scase" "(" ("1" "==" "2") ")" "in" "(" ("NAT") ")" "as" "NAT-C1" "{" "}" ":" ("1" "==" "2") ".") ;;; 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 (defun parse-case-command (expr &rest ignore) (declare (ignore ignore)) (let ((case-term (nth 2 expr)) (modexpr (parse-modexp (nth 6 expr))) (name (nth 9 expr)) (body (nth 11 expr)) (goal (nth 14 expr))) (when (atom body) (setq body nil) (setq goal (nth 13 expr))) (%scase* case-term modexpr name body goal))) ;;; ********* ;;; LISP/EVAL ;;; ********* (defun parse-eval-lisp (inp) (%lisp-eval* (cadr inp))) ;;; ************ ;;; EVAL (META) ;;; ************ (defun parse-meta-eval (inp) (%eval* (cadr inp))) ;;; ************************ ;;; INSTANTIATION by `make' ;;; ************************ (defun parse-make-command (inp) (let ((name (nth 1 inp)) (modexp (nth 3 inp))) (%module-decl* name :module :user (list (%import* :protecting (parse-modexp modexp)))))) ;;; ***** ;;; INPUT ;;; ***** (defun parse-input-command (inp) (cadr inp)) ;;; **** ;;; SAVE ;;; **** (defparameter _save-pat (%save* 'file)) (defun parse-save-command (inp) (setf (%save-file _save-pat) (cadr inp)) _save-pat) ;;; ******* ;;; RESTORE ;;; ******* ;;; restore definitions of module from file (saved by `save' command). (defvar _restore-pat (%restore* 'file)) (defun parse-restore-command (inp) (setf (%restore-file _restore-pat) (cadr inp)) _restore-pat) ;;; ***** ;;; RESET ;;; ***** ;;; recover definitions of modules in prelude. (defvar _reset-pat (%reset*)) (defun parse-reset-command (&rest inp) (declare (ignore inp)) _reset-pat) ;;; ********** ;;; FULL-RESET ;;; ********** (defvar _full-reset-pat (%full-reset*)) (defun parse-full-reset-command (&rest inp) (declare (ignore inp)) _full-reset-pat) (defun parse-prelude-command (inp) (%load-prelude* (cadr inp) 'parse-cafeobj-input)) ;;; ******** ;;; COMMENTS ;;; ******** (defun parse-comment-command (inp) (%dyna-comment* (cons (car inp) (cdr inp)))) ;;; **** ;;; OPEN ;;; **** (defvar _open-pat (%open-module* 'modexp)) (defun parse-open-command (inp) (let ((modexp (second inp))) (if modexp (setf (%open-module-modexp _open-pat) (parse-modexp modexp)) (setf (%open-module-modexp _open-pat) nil)) _open-pat)) ;;; ***** ;;; CLOSE ;;; ***** (defvar _close-pat (%close-module*)) (defun parse-close-command (&rest ignore) (declare (ignore ignore)) _close-pat) ;;; ************* ;;; INSPECT-TERM ;;; ************* (defun parse-inspect-term-command (inp) (declare (ignore inp)) (%inspect-term*)) ;;; *** ;;; PWD ;;; *** (defvar _pwd-pat (%pwd*)) (defun parse-pwd-command (inp) (declare (ignore inp)) _pwd-pat) ;;; ** ;;; LS ;;; ** (defvar _ls-pat (%ls* 'dir)) (defun parse-ls-command (inp) (setf (%ls-dir _ls-pat) (cadr inp)) _ls-pat) ;;; ************** ;;; ! SHELL ESCAPE ;;; ************** (defvar _shell-pat (%shell* 'command)) (defun parse-shell-command (inp) (let ((command (cadr inp))) (setf (%shell-command _shell-pat) command) _shell-pat)) ;;; ** ;;; CD ;;; ** (defvar _cd-pat (%cd* 'directory)) (defun parse-cd-command (inp) (setf (%cd-directory _cd-pat) (cadr inp)) _cd-pat) ;;; ***** ;;; PUSHD ;;; ***** (defvar _pushd-pat (%pushd* 'directory)) (defun parse-pushd-command (inp) (when (>= (length inp) 3) (with-output-chaos-error ('invalid-arg) (format t "too many args ~s" (cdr inp)))) (setf (%pushd-directory _pushd-pat) (cadr inp)) _pushd-pat) ;;; **** ;;; POPD ;;; **** (defvar _popd-pat (%popd* nil)) (defun parse-popd-command (inp) (when (>= (length inp) 3) (with-output-chaos-error ('invalid-arg) (format t "too many args ~s" (cdr inp)))) (let ((num (and (cadr inp) (parse-integer (cadr inp) :junk-allowed t)))) (if num (setf (%popd-num _popd-pat) (cadr inp)) (setf (%popd-num _popd-pat) nil)) (eval-ast _popd-pat) (setf (%popd-num _popd-pat) nil) _popd-pat)) ;;; **** ;;; DIRS ;;; **** (defvar _dirs-pat (%dirs*)) (defun parse-dirs-command (inp) (declare (ignore inp)) _dirs-pat) ;;; ***************** ;;; PROTECT/UNPROTECT ;;; ***************** (defvar _protect-pat (%protect* 'module :set)) (defun parse-protect-command (inp) (setf (%protect-module _protect-pat) (cadr inp)) _protect-pat) (defvar _unprotect-pat (%protect* 'module :unset)) (defun parse-unprotect-command (inp) (setf (%protect-module _unprotect-pat) (cadr inp)) _unprotect-pat) ;;; ***************** ;;; SHOW/DESCRIBE/SET ;;; ***************** (defvar _select-pat (%select* 'modexp)) (defvar _show-pat (%show* 'args)) (defvar _desc-pat (%describe* 'args)) (defun parse-show-command (inp) (let ((tag (car inp)) (args (cdr inp))) (cond ((equal "select" tag) (setf (%select-modexp _select-pat) args) _select-pat) ((member tag '("show" "sh") :test #'equal) (setf (%show-args _show-pat) args) _show-pat) ((member tag '("describe" "desc") :test #'equal) (setf (%describe-args _desc-pat) args) _desc-pat) (t :help)))) ;;; *** ;;; SET ;;; *** (defvar _set-pat (%set* 'switch 'value)) (defun parse-set-command (inp) (let ((dat (cadr inp))) (let ((which (car dat)) (value (cdr dat))) (setf (%set-switch _set-pat) which) (setf (%set-value _set-pat) value) _set-pat))) ;;; ******* ;;; PROVIDE ;;; ******* (defvar _provide-pat (%provide* 'feature)) (defun parse-provide-command (inp) (setf (%provide-feature _provide-pat) (cadr inp)) _provide-pat) ;;; ******* ;;; REQUIRE ;;; ******* (defvar _require-pat (%require* 'feature 'cafeobj-input 'file)) (defun parse-require-command (inp) (setf (%require-feature _require-pat) (caadr inp)) (setf (%require-file _require-pat) (cadadr inp)) _require-pat) ;;; ********** ;;; REGULARIZE ;;; ********** (defparameter _regularize-pat (%regularize* 'modexp)) (defun parse-regularize-command (inp) (setf (%regularize-modexp _regularize-pat) (cadr inp)) _regularize-pat) ;;; ************** ;;; CHECK ;;; ************** ;; (%check* 'what 'args)) (defun parse-check-command (inp) (let ((dat (cadr inp))) (let ((it (car dat))) (case-equal it (("reg" "regular" "regularity") (%check* :regularity (cdr dat))) (("lazy" "laziness" "strict" "strictness") (%check* :strictness (cdr dat))) (("compat" "compatibility") (%check* :compatibility (cdr dat))) (("coherency" "coherent" "coh" "coherence") (%check* :coherency (cdr dat))) (("sensible" "sensibleness") (%check* :sensible (cdr dat))) (("rewriting" "rew") (%check* :rew-coherence (cdr dat))) (("invariance" "inv") (%check* :invariance (cdr dat))) (("safety") (%check* :safety (cdr dat))) (("refinement" "refine") (%check* :refinement (cdr dat))) (("?" "help" ":?" ":help") (cafeobj-check-help) (return-from parse-check-command t)))))) ;;; ;;; CHECK HELP ;;; (defun cafeobj-check-help (&rest ignore) (declare (ignore ignore)) (format t "~% check {reg | regularity} []") (format t "~&~8Tcheck (or current module's) signagture is regular or not.") (format t "~& check {compat | compatibility} []") (format t "~&~8Tcheck (or current module) is compatible or not.") (format t "~& check {lazy | laziness} []") (format t "~&~8Tcheck strictness of ") (format t "~& check {coh | coherency | coherence} ") (format t "~&~8Tcheck if operator is behaviouraly coherent") (format t "~& check {sensible | sensibleness} []") (format t "~&~8Tcheck if the signature of the module is sensible or not.") (format t "~& check {rewriting | rew} {coh | coherency} []") (format t "~&~8Tcheck if trans axioms and equations are coherent of not.") ) ;;; ******* ;;; DRIBBLE ;;; ******* (defun parse-dribble-command (inp) (let ((file (cadr inp))) (if (equal file ".") (%dribble* nil) (%dribble* file)))) ;;; ********* ;;; CONTINUIE ;;; ********* (defun parse-continue-command (args) (when (cddr args) (with-output-chaos-error ('invalid-arg) (format t "invalid args ~a" args))) (let ((num-tok (cadr args)) (num 1)) (when num-tok (setq num (read-from-string num-tok))) (unless (and (integerp num) (> num 0)) (with-output-chaos-error ('invalid-arg) (format t "continue count must be positive integer, but ~a is given." num-tok))) (%continue* num))) ;;; **** ;;; NAME ;;; **** (defun parse-name-command (inp) (let ((modexp (second inp)) (ast (%inspect* nil))) (when modexp (setf (%inspect-modexp ast) (parse-modexp modexp))) ast)) ;;; ******* ;;; VERSION ;;; ******* (defun parse-version-command (&rest ignore) (declare (ignore ignore)) cafeobj-version) ;;; ****************** ;;; MODULE Constructs. ;;; ****************** ;;; it is an error unless a module is open. (defun cafeobj-eval-module-element-proc (inp) (if *open-module* (with-in-module ((get-context-module)) (multiple-value-bind (type ast) (parse-module-element inp) (declare (ignore type)) (dolist (a ast) (eval-ast a)))) (with-output-chaos-warning () (princ "no module open.")))) ;;; ****** ;;; GENDOC ;;; ****** (defparameter _gendoc-pat (%gendoc* 'file)) (defun parse-gendoc-command (inp) (setf (%gendoc-file _gendoc-pat) (cadr inp)) _gendoc-pat) ;;; EOF cafeobj-1.5.4/cafeobj/trans-decl.lisp0000644000000000000000000010273512605345045016142 0ustar rootroot;;;-*- Mode:LISP; Package:CHAOS; Base:10; Syntax:Common-lisp -*- ;;; ;;; Copyright (c) 2000-2015, Toshimi Sawada. All rights reserved. ;;; ;;; Redistribution and use in source and binary forms, with or without ;;; modification, are permitted provided that the following conditions ;;; are met: ;;; ;;; * Redistributions of source code must retain the above copyright ;;; notice, this list of conditions and the following disclaimer. ;;; ;;; * Redistributions in binary form must reproduce the above ;;; copyright notice, this list of conditions and the following ;;; disclaimer in the documentation and/or other materials ;;; provided with the distribution. ;;; ;;; THIS SOFTWARE IS PROVIDED BY THE AUTHOR 'AS IS' AND ANY EXPRESSED ;;; OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED ;;; WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ;;; ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY ;;; DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL ;;; DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE ;;; GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS ;;; INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, ;;; WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING ;;; NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS ;;; SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. ;;; (in-package :chaos) #|============================================================================== System: CHAOS Module: cafeobj File: trans-decl.lisp ==============================================================================|# #-:chaos-debug (declaim (optimize (speed 3) (safety 0) #-GCL (debug 0))) #+:chaos-debug (declaim (optimize (speed 1) (safety 3) #-GCL (debug 3))) ;;;== DESCRIPTION ============================================================== ;;; Translators of (partially parsed) CafeOBJ extenal representation form to ;;; internal representations (CHAOS abstract syntax). ;;; Very dirty (ad hoc) codes, this is because that the result of the current ;;; top level parser are only vaguely defined, and the poor power of the parser ;;; forces the concrete syntax of CafeOBJ be dirty one. Even for an one ;;; syntactic category, it can be parsed in different manner according to the ;;; context it appears! Very sad situation. Must be fixed soon! ;;; ;;; ** NOTE ******************************************************************** ;;; As mentioned above, if the current implementation of the CafeOBJ top level ;;; parser were more well done, the translators would be no more needed, or ;;; would be more clean. This should be done in the near future. ;;; **************************************************************************** ;;; *************** ;;; INTERFACE FORM____________________________________________________________ ;;; *************** ;;; PARSE-INTERFACE-DECL scans the interface expression and produces the internal ;;; form of importation expressions. ;;; (defun parse-interface-decl (decl-form &rest ignore) (declare (ignore ignore)) (when decl-form (let ((args nil) (lst (cdr decl-form))) (loop (unless (cdr lst) (return)) (let ((tag (car lst)) (mode "protecting")) (when (member tag '("pr" "protecting" "ex" "extending" "us" "using" "inc" "including") :test #'equal) (setf lst (cdr lst)) (setf mode tag)) (dolist (nm (car lst)) (setf args (nconc args (process-importation-form (cons mode (cons nm (list (cadr lst) (caddr lst)))))))) ;; (setq lst (cddddr lst)))) args))) ;;; PROCESS-IMPORTATION-FORM scans the parsed importation expression and ;;; produces the internal form of importation expression. ;;; For an example, ;;; protecting (X :: FOO * { sort Bar -> Bar' }) ;;; will be translated to ;;; (%import :protecting (%* "FOO" ((sort "Bar" "Bar'"))) "X") ;;; (defun process-importation-form (imp-expr &rest ignore) (declare (ignore ignore)) (macrolet ((scan-modexp (__exp) ` (let ((*__modexp nil)) (loop (when (or (null ,__exp) (null (car ,__exp)) (equal (car ,__exp) ",")) (return)) (push (car ,__exp) *__modexp) (setf ,__exp (cdr ,__exp))) (flatten-list (nreverse *__modexp))))) (let ((mode (case-equal (car imp-expr) (("pr" "protecting") :protecting) (("ex" "extending") :extending) (("us" "using") :using) (("inc" "including") :including))) (alias nil) (expr nil) (res nil)) ;; (cond ((equal (second imp-expr) "(") (setq expr (scan-parenthesized-unit (cdr imp-expr)))) ((and (consp (second imp-expr)) (equal "as" (car (second imp-expr)))) (setq alias (second (second imp-expr))) (setq expr (if (equal (third imp-expr) "(") (scan-parenthesized-unit (cddr imp-expr)) (cddr imp-expr)))) (t (setq expr (cdr imp-expr)))) ;; (loop (unless expr (return)) (if (equal (second expr) "::") ;; parameterized importation (let ((param (first expr))) (when (find-if #'(lambda (x) (or (eql x #\.) (eql x #\@))) param) (with-output-chaos-error () (format t "parameter name must not contain `.' or `@'.") )) (setf expr (cddr expr)) (push (%make-import :mode mode :parameter param :module (parse-modexp (scan-modexp expr)) :alias alias) res)) ;; non parameterized importation (push (%make-import :mode mode :module (parse-modexp (scan-modexp expr)) :alias alias) res)) (setf expr (cdr expr))) ;; (nreverse res)))) ;;; imports { ;;; ... ;;; } (defun parse-imports-form (e &rest ignore) (declare (ignore ignore)) (let ((body nil) (im-body (caddr e))) (unless (equal im-body "}") (dolist (elt im-body) (unless (equal im-body "}") (case-equal (car elt) (("--" "**") nil) ("-->" (setq body (nconc body (list (%dyna-comment* (cons "--" (cdr elt))))))) ("**>" (setq body (nconc body (list (%dyna-comment* (cons "**" (cdr elt))))))) (t (setf body (nconc body (process-importation-form elt)))))))) body)) ;;; ***************************** ;;; SORT/SUBSORT DECLARATION FORM_______________________________________________ ;;; ***************************** ;;; PROCESS-SORT-REFERENCE-FORM: ;;; the translator of sort reference. ;;; uses module expression parser (`do-parse-sort-ref'). ;;; (defun process-sort-reference-form (tokens &rest ignore) (declare (ignore ignore)) (flet ((report-trans-err (&rest ignore) (declare (ignore ignore)) (with-output-msg () (format t "could not parse tokens:~{~^ ~a~}" tokens) (chaos-error 'parse-err)))) (if (null tokens) nil (progn (when (atom tokens) (setf tokens (list tokens))) (let ((*modexp-parse-input* tokens)) (with-chaos-error (#'report-trans-err) (let ((val (do-parse-sort-ref nil))) (if (null *modexp-parse-input*) val nil)))))))) ;;; PROCESS-SORT-AND-SUBSORT-FORM ;;; (defun process-sort-and-subsort-form (decl &optional hidden) (let ((forms nil) (form nil) (res nil)) (dolist (elt (cdr decl)) (cond ((or (atom elt) (equal (car elt) ",")) (push form forms) (setf form nil)) (t (dolist (x elt) (if (equal x "<") (setf form (append form '(:<))) (setf form (append form (list x)))))) )) (when *on-debug* (format t "~&sort_decl: forms = ~a" forms)) (dolist (f (nreverse forms)) (cond ((memq ':< f) ;; subsort declaration. (setf f (mapcar #'(lambda (x) (if (eq x ':<) ':< (process-sort-reference-form x))) f)) (push (%subsort-decl* (cons hidden f)) res)) (t ;; sort declaration. (dolist (e f) (push (%sort-decl* (process-sort-reference-form e) hidden) res))))) ;; (nreverse res))) ;;; Hidden sort/subsort declaration ;;; (defun process-hidden-sort-form (decl-form &rest ignore) (declare (ignore ignore)) (let ((decl (cadr decl-form))) (case-equal (car decl) ("[" (process-sort-and-subsort-form decl t)) ("record" (list (process-record-declaration-form decl t))) ("class" (list (process-class-declaration-form decl t))) (t (with-output-panic-message () (format t "Unknown type of hidden declaration ~s." (car decl))))))) ;;; ********************** ;;; BSORT DECLARATION FORM______________________________________________________ ;;; ********************** (defun process-bsort-declaration (decl &rest ignore) (declare (ignore ignore)) (let ((sort-name (cadr decl)) (lisp-info (caddr decl))) (if lisp-info (%make-bsort-decl :name sort-name :token-predicate (first lisp-info) :term-creator (second lisp-info) :term-printer (third lisp-info) :term-predicate (fourth lisp-info)) (%make-bsort-decl :name sort-name)))) ;;; Hidden builtin sort (defun process-hbsort-declaration (decl &rest ignore) (declare (ignore ignore)) (let ((sort-name (cadr decl)) (lisp-info (caddr decl))) (if lisp-info (%make-bsort-decl :name sort-name :hidden t :token-predicate (first lisp-info) :term-creator (second lisp-info) :term-printer (third lisp-info) :term-predicate (fourth lisp-info)) (%make-bsort-decl :hidden t :name sort-name)))) ;;; ****************************** ;;; RECORD/ CLASS DECLARATION FORM______________________________________________ ;;; ****************************** ;;; record decl form ::= ("record" "R1" (super-refs) "{" slot-decls "}) ;;; 0 1 2 3 4 ;;; | ("record" "R2" "{" slot-decls "}") ;;; super-refs ::= ( "[" ;;; ("s-1" (":" "Nat") "," "s-2" ("=" "(" ("213") ")")) "}") ;;; ;;; 0 1 2 ;;;----------------------------------------------------------------------------- (defun gather-slot-decls (decl-form &rest ignore) (declare (ignore ignore)) (if (atom decl-form) nil (let ((res nil) (elt nil) (forms decl-form)) (loop (unless forms (return)) (let ((f (car forms))) ;; dirty work (cond ((member f '("--" "**") :test #'equal) (setf forms (cddr forms))) ((equal f "-->") (format t "~&-- ~a~%" (cadr forms)) (setf forms (cddr forms))) ((equal f "**>") (format t "~&** ~a~%" (cadr forms)) (setf forms (cddr forms))) (t (push (list f (cadr forms)) res) (setf forms (cddr forms)))))) (dolist (e res) (let ((sort-ref nil) (default-value nil)) (if (equal (caadr e) ":") ; (first (second e)) (setf sort-ref (cadr (second e))) (progn (setf sort-ref (car (last (second e)))) (setf default-value (third (second e))))) (push (%slot* (car e) (process-sort-reference-form sort-ref) default-value) elt))) elt))) (defun process-super-refs (supers &rest ignore) (declare (ignore ignore)) (let ((res nil)) (dolist (sup supers) (when (consp sup) (if (cdr sup) (let ((rmap nil) r-tokens) (unless (equal "*" (cadr sup)) (with-output-chaos-error () (format t "Unknown super reference ~a" (cadr sup)) )) ;; slot renaming ;; NOTE: now does not check most of syntactic errors. (setf r-tokens (scan-parenthesized-unit (cddr sup))) (do ((ren r-tokens (cddddr ren))) ((null ren)) (if (equal (second ren) "->") (push (%attr-rename* (first ren) (third ren)) rmap) (with-output-chaos-error () (format t "invalid super slot renaming ~a" ren) ))) (push (%super* (process-sort-reference-form (car sup)) (nreverse rmap)) res)) (push (%super* (process-sort-reference-form sup) nil) res)))) (nreverse res))) (defun process-record-declaration-form (r &rest ignore) (declare (ignore ignore)) (let* ((name (nth 1 r)) (supers (if (equal (nth 3 r) "{") (process-super-refs (nth 2 r)) nil)) (slot-decls (if supers (gather-slot-decls (nth 4 r)) (gather-slot-decls (nth 3 r))))) ;; (declare-record-in-module *current-module* name supers slot-decls) (%record-decl* name supers slot-decls nil))) (defun process-class-declaration-form (r &rest ignore) (declare (ignore ignore)) (let* ((name (nth 1 r)) (supers (if (equal (nth 3 r) "{") (process-super-refs (nth 2 r)) nil)) (slot-decls (if supers (gather-slot-decls (nth 4 r)) (gather-slot-decls (nth 3 r))))) ;; (declare-class-in-module *current-module* name supers slot-decls) (%class-decl* name supers slot-decls nil))) ;;; ************************* ;;; OPERATOR DECLARATION FORM___________________________________________________ ;;; ************************* ;;; input form: ("op" ( operator names ) ":" ( sort refs ... ) "->" sort-ref ;;; ("{" attributes "}" )) ;;; (defun process-operator-declaration-form (e &rest ignore) (declare (ignore ignore)) (let ((type (car e)) (pat (let ((val (nth 1 e))) (if (atom val) (list val) (if (check-enclosing-parens val) (butlast (cdr val)) val)))) (flg (equal "->" (nth 3 e)))) (when (or (null pat) (equal '(nil) pat)) (with-output-chaos-warning () (princ "operator name is empty, declaration ignored.") (return-from process-operator-declaration-form nil))) (when (equal '("_") pat) (with-output-chaos-warning () (format t "operator pattern is just _, declaration ignored. ~s" e) (return-from process-operator-declaration-form nil))) (let ((arity (mapcar #'(lambda (x) (process-sort-reference-form x)) (if flg nil (nth 3 e)))) (coarity (process-sort-reference-form (nth (if flg 4 5) e))) (attr (process-opattr-form (cadr (nth (if flg 5 6) e))))) ;; check mixfix op decl. (let ((args 0)) (declare (type fixnum args)) (dolist (p pat) (when (equal p "_") (incf args))) (unless (= 0 args) (unless (= args (length arity)) (with-output-chaos-warning () (format t "# of arguments mismatch for mixfix operator `~{~a~}', ignored." pat) (format t "~% arity = ~a, coarity=~a" arity coarity) (return-from process-operator-declaration-form nil))))) (if (equal type "op") (%make-op-decl :name pat :arity arity :coarity coarity :attribute attr :hidden nil) (%make-op-decl :name pat :arity arity :coarity coarity :attribute attr :hidden :hidden))))) ;;; pred op-pattern : arity [ attr ] ;;; (defun process-predicate-declaration-form (e &rest ignore) (declare (ignore ignore)) (let ((type (car e)) (pat (let ((val (nth 1 e))) (if (atom val) (list val) (if (check-enclosing-parens val) (butlast (cdr val)) val))))) (when (or (null pat) (equal '(nil) pat)) (with-output-chaos-warning () (princ "predicate name is empty, declaration ignored.") (return-from process-predicate-declaration-form nil))) (when (equal '("_") pat) (with-output-chaos-warning () (princ "operator pattern is just _, declaration ignored.") (return-from process-predicate-declaration-form nil))) (let ((arity (mapcar #'(lambda (x) (process-sort-reference-form x)) (nth 3 e))) (coarity "Bool") (attr (process-opattr-form (cadr (nth 4 e))))) (cond ((member type '("pred" "pd") :test #'equal) (%make-op-decl :name pat :arity arity :coarity coarity :attribute attr :hidden nil)) ((member type '("bpred" "bpd") :test #'equal) (%make-op-decl :name pat :arity arity :coarity coarity :attribute attr :hidden :hidden)) (t (with-output-panic-message () (format t "unknown predicate type ~a" type))))))) ;;; PREDS (defun process-predicates-declaration-form (decl &rest ignore) (declare (ignore ignore)) (mapcar #'(lambda (pat) (process-predicate-declaration-form (list* "pred" (if (consp pat) pat (list pat)) (cddr decl)))) (group-paren-units (cadr decl)))) ;;; BPREDS (defun process-bpredicates-declaration-form (decl &rest ignore) (declare (ignore ignore)) (mapcar #'(lambda (pat) (process-predicate-declaration-form (list* "bpred" (if (consp pat) pat (list pat)) (cddr decl)))) (group-paren-units (cadr decl)))) ;;; OPS (defun process-operators-declaration-form (decl &rest ignore) (declare (ignore ignore)) (mapcar #'(lambda (pat) (process-operator-declaration-form (list* "op" (if (consp pat) pat (list pat)) (cddr decl)))) (group-paren-units (cadr decl)))) ;;; BOPS (defun process-boperators-declaration-form (decl &rest ignore) (declare (ignore ignore)) (mapcar #'(lambda (pat) (process-operator-declaration-form (list* "bop" (if (consp pat) pat (list pat)) (cddr decl)))) (group-paren-units (cadr decl)))) (defun parse-rew-strategy (strat_decl &rest ignore) (declare (ignore ignore)) (let ((strats (if (member (car strat_decl) '("strat" "strat:" "strategy" "strategy:") :test #'equal) (if (equal ")" (caddr strat_decl)) nil (caddr strat_decl)) (if (equal ")" (cadr strat_decl)) nil (cadr strat_decl))))) (if strat_decl (mapcar 'read-from-string strats) nil))) (defun process-opattr-form (attrs &rest ignore) (declare (ignore ignore)) (let ((theory nil) (assoc nil) (prec nil) (strat nil) (memo nil) (constr nil) (coherent nil) (meta-demod nil)) (dolist (att attrs) (case-equal (car att) (("assoc" "associative") (push ':assoc theory)) (("commu" "comm" "commutative") (push ':comm theory)) (("idem" "idempotent") (push ':idem theory)) ("id:" (push (list ':id (second att)) theory)) ("idr:" (push (list ':idr (second att)) theory)) ("l-assoc" (setf assoc :l-assoc)) ("r-assoc" (setf assoc :r-assoc)) (("strat:" "strategy:" "strat" "strategy") (setf strat (parse-rew-strategy att))) (("prec:" "precedence:" "prec" "precedence") (setf prec (read-from-string (second att)))) ("memo" (setf memo t)) (("constr" "ctor" "constructor")(setf constr t)) (("coherent" "beh-coherent") (setf coherent t)) (("demod" "meta-demod") (setq meta-demod t)) (t (with-output-chaos-error () (format t "unknown operator attribute ~a" att))))) (%make-opattrs :theory (nreverse theory) :assoc assoc :prec prec :strat strat :memo memo :constr constr :coherent coherent :meta-demod meta-demod))) ;;; *********************************** ;;; OPERATOR ATTRIBUTE DECLARATION FORM ________________________________________ ;;; *********************************** ;;; input form: '("attr" (opname) ("{" attributes "}")) ;;; #|| (defun process-opattr-declaration-form (decl &rest ignore) (declare (ignore ignore)) (let ((pat (let ((val (nth 1 decl))) (if (atom val) (list val) (if (check-enclosing-parens val) (butlast (cdr val)) val)))) (attrs (nth 3 decl))) (multiple-value-bind (op-id num-args) (implode-op-ref pat) (%make-opattr-decl :opref (%make-opref :name op-id :num-args num-args) :attribute (process-opattr-form attrs))))) ||# ;;; ********* ;;; SIGNATURE ;;; ********* (defun process-signature (e &rest ignore) (declare (ignore ignore)) (let ((body nil) (s-body (caddr e))) (unless (equal s-body "}") (dolist (elt s-body) (unless (equal elt "}") (multiple-value-bind (type sig) (parse-module-element elt) (declare (ignore type)) (setf body (nconc body sig)))))) body)) ;;; ************************* ;;; VARIABLE DECLARATION FORM___________________________________________________ ;;; ************************* ;;; input form: '("vars" ( variable-name ... ) ":" sort-ref) ;;; 0 1 2 3 ;;; '("var" variable-name ":" sort-ref) ;;; ;;; returns internal form of variable : (%variable ( names ... ) sort) ;;; (defun process-variable-declaration-form (decl &rest ignore) (declare (ignore ignore)) (let ((sort-ref (nth 3 decl)) (var-names (cadr decl))) (when (atom var-names) (setq var-names (list var-names))) (setf sort-ref (process-sort-reference-form sort-ref)) (%var-decl* var-names sort-ref))) (defun process-pseud-variable-declaration-form (decl &rest ignore) (declare (ignore ignore)) (let ((sort-ref (nth 3 decl)) (var-names (cadr decl))) (when (atom var-names) (setq var-names (list var-names))) (setf sort-ref (process-sort-reference-form sort-ref)) (%pvar-decl* var-names sort-ref))) ;;; ********************** ;;; AXIOM DECLARATION FORM______________________________________________________ ;;; ********************** ;;; ;;; input form : (kind ([ label ] lhs tokens ) ( rhs tokens ) ;;; [ "if" ( condition tokens ) ]) ;;; kind is one of "eq", "ceq" "cq" "rule" "rl" "crule" "crl" ;;; "trans" "tr" "btrans" "btr" "bctrans" "bctr" (defun process-axiom-form (decl &rest ignore) (declare (ignore ignore)) (let (type (cond-p nil) lhs rhs cond (behavioural nil) labels) (case-equal (car decl) ("eq" (setq type ':equation)) (("cq" "ceq") (setf type ':equation) (setf cond-p t)) (("beq" "bq") (setq type ':equation) (setq behavioural t)) (("bceq" "bcq") (setq type ':equation) (setq behavioural t) (setq cond-p t)) (("rule" "rl" "trans" "tr") (setf type ':rule)) (("crule" "crl" "ctrans" "ctr") (setf type ':rule) (setf cond-p t)) (("brl" "brule" "btrans" "btr") (setq type ':rule) (setq behavioural t)) (("bcrl" "bcrule" "bctrans" "bctr") (setq type ':rule) (setq cond-p t) (setq behavioural t))) (setf lhs (second decl)) (setf rhs (fourth decl)) (setf cond (if cond-p (sixth decl) nil)) (when (and (not (equal (first lhs) "(")) (equal (first lhs) "[")) (let ((b-pos nil) (c-pos nil)) (setq b-pos (position "]" lhs :test #'equal)) (setq c-pos (position ":" lhs :test #'equal)) (when (and b-pos c-pos (= 1 (- c-pos b-pos))) (setf labels (mapcar #'(lambda (x) (intern (string x))) (cdr (firstn lhs b-pos)))) (setf lhs (nthcdr (1+ c-pos) lhs))))) (%axiom-decl* type labels lhs rhs cond behavioural))) ;;; ;;; axioms { ;;; : ;;; } (defun process-axioms-declaration (e &rest ignore) (declare (ignore ignore)) (let ((body nil) (a-body (caddr e))) (unless (equal a-body "}") (dolist (elt a-body) (unless (equal elt "}" ) (multiple-value-bind (type ax) (parse-module-element elt) (declare (ignore type)) (setf body (nconc body ax)))))) body)) ;;; ******************** ;;; LET DECLARATION FORM________________________________________________________ ;;; ******************** ;;; ("let" "name" "=" ( token .. )) ;;; 0 1 2 3 (defun process-let-declaration-form (toks &rest ignore) (declare (ignore ignore)) (%let* (nth 1 toks) (nth 3 toks))) ;;; ********************** ;;; MACRO DECLARATION FORM______________________________________________________ ;;; ********************** ;;; ("#define" LHS "::=" RHS ".") ;;; 0 1 2 3 4 (defun process-macro-declaration-form (decl &rest ignore) (declare (ignore ignore)) (%macro* (second decl) (fourth decl))) ;;; *********************** ;;; MODULE DECLARATION FORM_____________________________________________________ ;;; *********************** ;;; ;;; The parsed token sequence of top level module definition is : ;;; ("mod" [ ] [ ] "{" () "}") ;;; 0 1 2 3 4 ;;; 0 1 2 3 ;;; 0 1 2 3 ;;; 0 1 2 ;;; ;;; PROCESS-MODULE-DECLARATION-FORM accepts the token sequence of top level ;;; module declaration form, and convert it to internal representation. ;;; (defun process-module-declaration-form (decl &rest ignore) (declare (ignore ignore)) (let* ((mod-type (car decl)) ; kind & type : module, module:sys ... (name (nth 1 decl)) ; module name (module expression). ;; the following two are optional (param nil) ; parameter. (psort nil) ; principal-sort. ;; essential part (body nil) ; module body. (b-pos 2) ; position of beginning of ; body parts("{") when all of the ; optional parts are omitted. ) ;; now we accepts 2 optional parts before module body comes: (when (consp (nth b-pos decl)) ; supplied param or pricipal-sort (incf b-pos) (when (consp (nth b-pos decl)) ; supplied both param & principal-sort (incf b-pos))) (case b-pos (3 ; param or principal-sort (let ((opt (nth 2 decl))) (cond ((member (car opt) '("principal-sort" "psort") :test #'equal) (setq psort opt)) (t (setq param opt))))) (4 (setq param (nth 2 decl)) ; full featured declaration (setq psort (nth 3 decl)))) (setq body (nth (1+ b-pos) decl)) (when (atom body) (setq body nil)) ; empty body (when param (setq param (parse-interface-decl param))) (when psort (setq psort (parse-psort-decl psort))) (setq mod-type (case-equal mod-type (("module" "mod") (cons :module :user)) (("module*" "mod*") (cons :theory :user)) (("module!" "mod!") (cons :object :user)) (("sys:mod" "sys:module") (cons :module :system)) (("sys:mod*" "sys:module*") (cons :theory :system)) (("sys:mod!" "sys:module!") (cons :object :system)) (("hwd:module!" "hwd:mod!") (cons :object :hard)) (otherwise (error "unsupported type of module ~a" mod-type)))) (%module-decl* name (car mod-type) (cdr mod-type) (nconc param psort (parse-module-elements body))))) ;;; PARSE-PSORT-DECL ;;; (defun parse-psort-decl (decl &rest ignore) (declare (ignore ignore)) (list (%psort-decl* (process-sort-reference-form (cdr decl))))) ;;; PARSE-MODULE-ELEMENTS ;;; the list of declaration forms are return in order of declaration. ;;; (defun parse-module-elements (s &rest ignore) (declare (ignore ignore)) (let ((body nil) (sig nil) (ax nil)) (dolist (e s) (multiple-value-bind (kind elt) (parse-module-element e) (case kind ((:ignore :misc) nil) (:signature (setq sig (nconc sig elt))) (:import (setq sig (nconc sig elt))) (:axiom (setq ax (nconc ax elt)))))) (setf body (append sig ax)) body)) (defun parse-module-element (e &rest ignore) (declare (ignore ignore)) (let ((decl (get-decl-info (car e)))) (unless decl (with-output-chaos-error ('no-decl) (format t "No such declaration '~a'" (car e)))) (let ((parser (comde-parser decl))) (unless parser (with-output-chaos-error ('no-parser) (format t "No parser is defined for declaration ~a" (car e)))) (let ((ast (funcall parser e))) (declare (list ast)) (when (and ast (atom (car ast))) (setq ast (list ast))) (values (comde-category decl) ast))))) (defun parse-module-element-1 (e &rest ignore) (multiple-value-bind (type elt) (parse-module-element e ignore) (declare (ignore type)) (car elt))) ;;; ******************** ;;; VIEW DECLARTION FORM _______________________________________________________ ;;; ******************** (defun process-view-declaration-form (defn &rest ignore) (declare (ignore ignore)) (let ((view-name (second defn)) (view-frag (caddr defn))) (let ((view-form (if (equal "of" (car view-frag)) ` ("view" "from" ,(nth 3 view-frag) "to" ,(nth 1 view-frag) ,@(cddddr view-frag) "}") ` ("view" ,@view-frag "}")))) (let ((vwpars (parse-view view-form))) (%view-decl* view-name vwpars))))) ;;; ;;; DYNAMIC COMMENT PROCESSORS ;;; (defun parse-dynamic-comment-1 (e) (let ((comm (%dyna-comment* (cons "--" (cdr e))))) (eval-ast comm) nil)) (defun parse-dynamic-comment-2 (e) (let ((comm (%dyna-comment* (cons "**" (cdr e))))) (eval-ast comm) nil)) ;;; ;;; LISP/EV Processor ;;; (defun process-ev-lisp-form (e) (let ((form (%lisp-eval* (cadr e)))) (eval-ast form) nil)) ;;; ;;; EVAL (metalevel) ;;; (defun parse-eval-form (e) (%eval* (cadr e))) ;;; ;;; DO NOTHING ;;; (defun parse-decl-do-nothing (&rest ignore) (declare (ignore ignore)) nil) (defun eval-decl-do-nothing (&rest ignore) (declare (ignore ignore)) nil) ;;; EOF cafeobj-1.5.4/cafeobj/trans-form.lisp0000644000000000000000000000656712605345045016204 0ustar rootroot;;;-*- Mode:LISP; Package:CHAOS; Base:10; Syntax:Common-lisp -*- ;;; ;;; Copyright (c) 2000-2015, Toshimi Sawada. All rights reserved. ;;; ;;; Redistribution and use in source and binary forms, with or without ;;; modification, are permitted provided that the following conditions ;;; are met: ;;; ;;; * Redistributions of source code must retain the above copyright ;;; notice, this list of conditions and the following disclaimer. ;;; ;;; * Redistributions in binary form must reproduce the above ;;; copyright notice, this list of conditions and the following ;;; disclaimer in the documentation and/or other materials ;;; provided with the distribution. ;;; ;;; THIS SOFTWARE IS PROVIDED BY THE AUTHOR 'AS IS' AND ANY EXPRESSED ;;; OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED ;;; WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ;;; ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY ;;; DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL ;;; DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE ;;; GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS ;;; INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, ;;; WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING ;;; NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS ;;; SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. ;;; (in-package :chaos) #|============================================================================== System: CHAOS Module: cafeobj File: trans-form.lisp ==============================================================================|# #-:chaos-debug (declaim (optimize (speed 3) (safety 0) #-GCL (debug 0))) #+:chaos-debug (declaim (optimize (speed 1) (safety 3) #-GCL (debug 3))) ;;; **************************** ;;; CafeOBJ => Chaos translation________________________________________________ ;;; **************************** (defun cafeobj-2-chaos-proc (inp) (let* ((args (cadr inp)) (from (car args)) (to (cadr args))) (if to (cafeobj2chaos from to) (cafeobj2chaos from *standard-output*)) )) (defun cafeobj2chaos (in-file o-file) (if (streamp o-file) (chaos-input-file :file in-file :proc 'cafeobj->chaos :args `(,in-file ,o-file)) (with-open-file (port o-file :direction :output :if-does-not-exist :create :if-exists :supersede) (chaos-input-file :file in-file :proc 'cafeobj->chaos :args `(,in-file ,port))) )) (defun cafeobj->chaos (in-file &optional (port *standard-output*)) (let ((*print-case* :downcase) (*chaos-quiet* t) (*eval-ast* nil) (*dribble-ast* t) (*dribble-stream* port) (quit-flag nil)) (princ *chaos-binary-magic* port) (format port "~&;;; this file is generated by CafeOBJ to Chaos converter version 1.2") (format port "~&;;; creation date = ~a" (get-time-string)) (format port "~%;;; source file = ~a" in-file) ;; (format port "~%;;; target file = ~a" o-file) (format port "~&(in-package :chaos)~%") (loop (catch *top-level-tag* (process-cafeobj-input) (setq quit-flag t)) (when quit-flag (return))) (force-output port))) ;;; EOF cafeobj-1.5.4/cafeobj/commands.lisp0000644000000000000000000023576012611604544015713 0ustar rootroot;;;-*- Mode:LISP; Package:CHAOS; Base:10; Syntax:Common-lisp -*- #|============================================================================== System: CHAOS Module: cafeobj File: commands.lisp ==============================================================================|# ;;; ;;; Copyright (c) 2000-2015, Toshimi Sawada. All rights reserved. ;;; ;;; Redistribution and use in source and binary forms, with or without ;;; modification, are permitted provided that the following conditions ;;; are met: ;;; ;;; * Redistributions of source code must retain the above copyright ;;; notice, this list of conditions and the following disclaimer. ;;; ;;; * Redistributions in binary form must reproduce the above ;;; copyright notice, this list of conditions and the following ;;; disclaimer in the documentation and/or other materials ;;; provided with the distribution. ;;; ;;; THIS SOFTWARE IS PROVIDED BY THE AUTHOR 'AS IS' AND ANY EXPRESSED ;;; OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED ;;; WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ;;; ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY ;;; DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL ;;; DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE ;;; GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS ;;; INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, ;;; WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING ;;; NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS ;;; SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. ;;; (in-package :chaos) #-:chaos-debug (declaim (optimize (speed 3) (safety 0) #-GCL (debug 0))) #+:chaos-debug (declaim (optimize (speed 1) (safety 3) #-GCL (debug 3))) (eval-when (:execute :load-toplevel) ;;; --------------------------------------------------------------------------- ;;; these hash tables are used for register keywords, document strings. ;;; these are used by toplevel command interpreter ;;; and cafeobj language construct evaluators. ;;; --------------------------------------------------------------------------- ;; halds systems toplevel commands, declarations accepted by top level (clrhash *cafeobj-top-commands*) ;; holds all of the declaration forms ;; this is moved to 'declarations.lisp', because every time we add a new command ;; we needed to re-load whole system. ;; (clrhash *cafeobj-declarations*) ;; this holds each commands/language constructs document strings. ;; systems' doc-generator refers to this hash table. (clrhash *cafeobj-doc-db*) ;;; -------------------------------------------------------------------------- ;;; all of the declarations/commands in alphabetical order. ;;; -------------------------------------------------------------------------- ;;; Remarks concerning :title :mdkey :doc :example and the order of the keys: ;;; If :title is not given, the *first* entry of the keys is used ;;; between surrounding backticks. That means that a simple command ;;; like version will have :title set to `version` ;;; If :mdkey is not given, the *first* entry of the keys is used. ;;; The :mdkey value is used when shipping out to markdown as label ;;; for the title ;;; ;;; Output to markdown is formatted as follows: ;;; "## ~a ## {#~a}~2%~a~2%" :title :mdkey :doc ;;; ;;; Note: entries *without* a :doc key will not be handled by the doc system (define (":is") :type :doc-only :doc "Boolean expression: `A :is B` where `A` is a term and `B` is a sort. Returns true if `A` is of sort `B`." ) (define ("!") :category :misc :parser parse-shell-command :evaluator eval-ast :title "`! `" :mdkey "commandexec" :doc "On Unix only, forks a shell and executes the given ``." ) (define ("#define") :category :element :parser identity :title "`#define := .`" :mdkey "sharp-define" :evaluator cafeobj-eval-module-element-proc :doc "TODO" ) (define ("--" "**") :category :decl :parser parse-comment-command :evaluator identity :title "`**`, `**>`" :mdkey "starstar" :related ("--" ("comments")) :doc "Starts a comment which extends to the end of the line. With the additional `>` the comment is displayed while evaluated by the interpreter." ) (define ("-->" "**>") :category :decl :parser parse-comment-command :evaluator eval-ast :title "`--`, `-->`" :mdkey "dashdash" :related ("**" ("comments")) :doc "Starts a comment which extends to the end of the line. With the additional `>` the comment is displayed while evaluated by the interpreter." ) (define ("=") :type :doc-only :mdkey "axeq" :related ("==" "eq") :doc "The syntax element `=` introduces an axiom of the equational theory, and is different from `==` which specifies an equality based on rewriting." ) (define ("==") :type :doc-only :mdkey "equality" :doc "The predicate `==` is a binary operator defined for each visible sort and is defined in terms of evaluation. That is, for ground terms `t` and `t'` of the same sort, `t == t'` evaluates to `true` iff terms reduce to a common term. This is different from the equational `=` which specifies the equality of the theory." ) (define ("=/=") :type :doc-only :mdkey "notequal" :related ("==") :doc "Negation of the predicate `==`." ) (define ("==>") :type :doc-only :mdkey "transrel" :related ("trans" ("search predicates")) :doc "This binary predicate is defined on each visible sort, and defines the transition relation, which is reflexive, transitive, and closed under operator application. It expresses the fact that two states (terms) are connected via transitions." ) (define ("=*=") :type :doc-only :mdkey "bequality" :doc "The predicate for behavioral equivalence, written `=*=`, is a binary operator defined on each hidden sort." ) (define ("=(n)=>" "=(n,m)=>" "=()=>") :type :doc-only :mdkey "searchpredsymb" :title "`=(n)=>`, `=(n,m)=>`, `=()=>`" :doc "See [`search predicates`](#searchpredicate)" ) (define ("accept =*= proof switch") :type :doc-only :title "`accept =*= proof` switch" :mdkey "switch-accept" :doc "accept system's automatic proof of congruency of `=*=`" ) (define ("?" "??" "?ex" "?example") :category :help :parser identity :evaluator cafeobj-top-level-help :title "`? []`" :mdkey "help" :doc "Without any argument, shows the brief guide of online help system. With argument gives the reference manual description of `term`. In addition to this, many commands allow for passing `?` as argument to obtain further help. In case examples are provided for the ``, they can be displayed using `?ex `. In this case the normal help output will also contain an informational message that examples are available. When called as ?? both documentation and examples are shown." ) (define ("?apropos" "?ap") :category :help :parser identity :mdkey "apropos" :evaluator cafeobj-top-level-help :title "`?apropos [ ...]`" :example "````` CafeOBJ> ?ap prec oper ````` will search for all entries that contain both `prec` and `oper` as sub-strings. Matching is done as simple sub-string match. ````` CafeOBJ> ?ap foo att[er] ````` will search for entries that contain the string `foo` as well as either the string `atte` or `attr`. " :doc "Searches all available online docs for the terms passed. Terms are separated by white space. Each term is tested independently and all terms have to match. Testing is done either by simple sub-string search, or, if the term looks like a regular expression (Perl style), by regex matching. In case a regex-like term cannot be parsed as regular expression, it is used in normal sub-string search mode. Note: Fancy quoting with single and double quotes might lead to unexpected problems." ) (define ("all axioms switch") :type :doc-only :title "`all axioms` switch" :mdkey "switch-all-axioms" :related ("show") :doc "Controls whether axioms from included modules are shown during a `show` invocation." ) (define ("always memo switch") :type :doc-only :title "`always memo` switch" :mdkey "switch-always-memo" :related ("memo" ("operator attributes")) :doc "Turns on memorization of computation also for operators without the [`memo`](#opattr) operator attribute." ) (define ("apply") :category :proof :parser parse-apply-command :evaluator eval-ast :title "`apply [ ] `" :related ("choose" "start") :doc "Applies one of the following actions `reduce`, `exec`, `print`, or a rewrite rule to the term in focus. `reduce`, `exec`, `print` ~ the operation acts on the (sub)term specified by `` and ``. rewrite rule ~ in this case a rewrite rule spec has to be given in the following form: `[+|-][].` where `` is the name of a module, and `` either a number n - in which case the n. equation in the current module is used, or the label of an equation. If the `` is not given, the equations of the current module are considered. If the leading `+` or no leading character is given, the equation is applied left-to-right, which with a leading `-` the equation is applied right-to-left. The `` is of the form `with { = } +,` and is used when applying a rewrite rule. In this case the variables in the rule are bound to the given term. `` is either `within` or `at`. In the former case the action is applied at or inside the (sub)term specified by the following selection. In the later case it means exactly at the (sub)term. Finally, the `` is an expression ` { of } *` where each `` is one of `top`, `term` ~ Selects the whole term `subterm` ~ Selects the pre-chosen subterm (see [`choose`](#choose)) `( )` ~ A list of numbers separated by blanks as in `(2 1)` indicates a subterm by tree search. `(2 1)` means the first argument of the second argument. `[ .. ]` ~ This selector can only be used with associative operators. It indicates a subterm in a flattened structure and selects the subterm between and including the two numbers given. `[n .. n]` can be abbreviated to `[n]`. Example: If the term is `a * b * c * d * e`, then the expression `[2 .. 4]` selects the subterm `b * c * d`. `{ }` ~ This selector can only be used with associative and commutative operators. It indicates a subterm in a multiset structure obtained from selecting the subterms at position given by the numbers. Example: If the operator `_*_` is declared as associative and commutative, and the current term is `b * c * d * c * e`, then then the expression `{2, 4, 5}` selects the subterm `c * c * e`." ) (define ("auto context switch") :type :doc-only :title "`auto context` switch" :mdkey "switch-auto-context" :doc "Possible values: `on` or `off`, default is `off`. If this switch is `on`, the context will automatically switch to the most recent module, i.e., defining a module or inspecting a module's content will switch the current module." ) (define ("autoload") :category :library :parser parse-autoload-command :evaluator eval-ast :title "`autoload `" :related ("no autoload") :doc "When evaluating a and found that it is not yet declared, the system read in then retries the evaluation." ) (define ("no-autoload") :category :library :parser parse-no-autoload-command :evaluator eval-ast :title "`no autoload `" :related ("autoload") :doc "Stop `autoload` of module with the name . Please refer to `autoload` command." ) (define ("axioms" "axiom" "axs") :category :element :parser identity :evaluator cafeobj-eval-module-element-proc :title "`axioms { }`" :related ("signature" "imports" "var" "eq" "trans") :doc "Block enclosing declarations of variables, equations, and transitions. Other statements are not allowed within the `axioms` block. Optional structuring of the statements in a module." ) (define ("bceq" "bcq") :category :element :parser identity :evaluator cafeobj-eval-module-element-proc :title "`bceq [ ] = if .`" :related ("eq" "ceq" "beq") :doc "Defines a behavioral conditional equation. For details see [`ceq`](#ceq)." ) (define ("beq") :category :element :parser identity :evaluator cafeobj-eval-module-element-proc :title "`beq [ ] = .`" :related ("eq" "ceq" "bceq") :doc "Defines a behavioral equation. For details see [`eq`](#eq)." ) (define ("bctrans" "bctr") :category :element :parser identity :evaluator cafeobj-eval-module-element-proc :title "`bctrans [ ] => if .`" :related ("trans" "ctrans" "btrans") :doc "Defines a behavioral conditional transition. For details see [`ctrans`](#ctrans)." ) (define ("bop" "bops") :category :element :parser identity :evaluator cafeobj-eval-module-element-proc :title "`bop : -> `" :related ("op") :doc "Defines a behavioral operator by its domain, co-domain, and the term construct. `` is a space separated list of sort names containing *exactly* one hidden sort. `` is a single sort name. For `` see the explanations of [`op`](#op)." ) (define ("bpred" "bpreds" "bpd" "bpds") :category :element :parser identity :evaluator cafeobj-eval-module-element-proc :title "`bpred : `" :related ("op" "bop" "pred") :doc "Short hand for `op : -> Bool` defining a behavioral predicate." ) (define ("breduce" "bred") :category :rewrite :parser parse-bred-command :evaluator eval-ast :title "`breduce [ in : ] .`" :related ("execute" "reduce") :doc "Reduce the given term in the given module, if `` is given, otherwise in the current module. For `breduce` equations, possibly conditional, possibly behavioral, are taken into account for reduction." ) (define ("btrans" "btr") :category :element :parser identity :evaluator cafeobj-eval-module-element-proc :title "`btrans [ ] => .`" :related ("trans" "ctrans" "bctrans") :doc "Defines a behavioral transition. For details see [`trans`](#trans)." ) (define ("cbred") :category :rewrite :parser parse-cbred-command :evaluator eval-ast :title "`cbred [ in :] .`" :doc "circular coinductive reduction: see _Goguen, Lin, Rosu: Circular Coinductive Rewriting_ (Proceedings of Automated Software Engineering 2000) for details." ) (define ("cd") :category :misc :parser parse-cd-command :evaluator eval-ast :title "`cd `" :related ("pwd" "ls") :doc "Change the current working directory, like the Unix counterpart. The argument is necessary. No kind of expansion or substitution is done." ) (define ("ceq" "cq") :category :element :parser identity :evaluator cafeobj-eval-module-element-proc :title "`ceq [ ] = if .`" :related ("eq" "beq" "bceq") :doc "Defines a conditional equation. Spaces around the `if` are obligatory. `` needs to be a Boolean term. For other requirements see [`eq`](#eq)." ) (define ("check") :category :checker :parser parse-check-command :evaluator eval-ast :title "`check `" :related ("regularize") :doc "This command allows for checking of certain properties of modules and operators. `check regularity ` ~ Checks whether the module given by the module expression `` is regular. `check compatibility ` ~ Checks whether term rewriting system of the module given by the module expression `` is compatible, i.e., every application of every rewrite rule to every well-formed term results in a well-formed term. (This is not necessarily the case in order-sorted rewriting!) `check laziness ` ~ Checks whether the given operator can be evaluated lazily. If not `` is given, all operators of the current module are checked." ) (define ("check switch") :type :doc-only :title "`check ` switch" :mdkey "switch-check" :doc "These switches turn on automatic checking of certain properties: `check coherency` ~ check whether transitions and equations are coherent `check compatibility` ~ see the [`check`](#check) command `check import` ~ check conflicting importing mode of submodules `check regularity` ~ see the [`check`](#check) command `check sensible` ~ check whether a signature is sensible" ) (define ("choose") :category :proof :parser parse-choose-command :evaluator eval-ast :title "`choose `" :mdkey "choose" :related ("apply" "start" ("`strat` in operator attributes" "operator attributes")) :doc "Chooses a subterm by the given ``. See [`apply`](#apply) for details on ``." ) (define ("clean memo" "clean") :category :rewrite :parser identity :evaluator cafeobj-eval-clear-memo-proc :title "`clean memo`" :mdkey "cleanmemo" :related (("clean memo switch" "`clean memo` switch")) :doc "Resets (clears) the memo storage of the system. Memorized computations are forgotten." ) (define ("clean memo switch") :type :doc-only :title "`clean memo` switch" :mdkey "switch-clean-memo" :doc "Possible values: `on`, `off`, default `off`. tells the system to be forgetful." ) (define ("close") :category :proof :parser parse-close-command :evaluator eval-ast :title "`close`" :related ("open") :doc "This command closes a modification of a module started by [`open`](#open)." ) (define ("comments") :type :doc-only :title "comments" :related ("**" "--") :doc "The interpreter accepts the following strings as start of a comment that extends to the end of the line: `--`, `-->`, `**`, `**>`. The difference in the variants with `>` is that the comment is displayed when run through the interpreter." ) (define ("cond limit switch") :type :doc-only :title "`cond limit` switch" :mdkey "switch-cond-limit" :doc "TODO" ) (define ("ctrans" "ctr") :category :element :parser identity :evaluator cafeobj-eval-module-element-proc :title "`ctrans [ ] => if .`" :related ("trans" "btrans" "bctrans") :doc "Defines a conditional transition. For details see [`trans`](#trans) and [`ceq`](#ceq)." ) (define ("describe" "desc") :category :inspect :parser parse-show-command :evaluator eval-ast :title "`describe `" :related ("show") :doc "Similar to the `show` command but with more details. Call `describe ?` for the possible set of invocations." ) (define ("eof") :type :doc-only :doc "Terminates reading of the current file. Allows for keeping untested code or documentations below the `eof` mark. Has to be on a line by itself without leading spaces." ) (define ("eq") :category :element :parser identity :evaluator cafeobj-eval-module-element-proc :title "`eq [ ] = .`" :related ("ceq" "beq" "bceq") :doc "Declares an axiom, or equation. Spaces around the `=` are necessary to separate the left from the right hand side. The terms given must belong to the same connected component in the graph defined by the sort ordering. In simple words, the objects determined by the terms must be interpretable as of the same sort. The optional part `` serves two purposes, one is to give an axiom an identifier, and one is to modify its behavior. The `` is of the form: ` [ ) ) ;;; (token . ",") ;;; (argument . ( 127 . ) ) ;;; (token . ")") ;;; ) ;;; (defun parser-collect-arguments (arg-acc-list module rest-form) (declare (type list arg-acc-list) (type module module) (type list rest-form)) (let ((arg-acc-list-prime arg-acc-list)) (dolist (form-item rest-form) (case (car form-item) ;; 1. (token (setq arg-acc-list-prime (parser-scan-token arg-acc-list-prime (cdr form-item)))) ;; 2. (argument (setq arg-acc-list-prime (parser-collect-one-argument arg-acc-list-prime module (cadr form-item) (cddr form-item)))) ;; 3. collect varargs. --- to be done. ((argument* argument+) (let ((limit 256)) ; for avoiding infinite loop (declare (type fixnum limit)) (loop (decf limit) (when (<= limit 0) (with-output-chaos-warning () (format t "over 256 arguments for argument*") (return-from parser-collect-arguments nil))) (when (eq 'argument+ (car form-item)) (setf arg-acc-list-prime (parser-collect-one-argument arg-acc-list-prime module (cadr form-item) (cddr form-item))) (unless arg-acc-list-prime (return))) (let ((tok (parser-scan-token arg-acc-list-prime ")"))) (if tok (progn (setf arg-acc-list-prime tok) (return)) (setq arg-acc-list-prime (parser-collect-one-argument arg-acc-list-prime module (cadr form-item) (cddr form-item))))))))) (if (null arg-acc-list-prime) (return nil) ;; to avoid unnecessary additional loops, and to avoid calling ;; either parser-scan-token or ;; parser-collect-one-argument with void arguments. )) ;; a bit optimization #|| (let ((res nil)) (when *on-parse-debug* (dotimes (x (length arg-acc-list-prime)) (format t "~%*** acc-arg #~D : " x) (print-chaos-object (car (nth x arg-acc-list-prime))) (format t "|| tokens ~a" (cdr (nth x arg-acc-list-prime))))) (setq res (remove-if #'(lambda (x) (not (term-is-really-well-defined (car x)))) arg-acc-list-prime)) (when (< (length res) (length arg-acc-list-prime)) (print-in-progress "!")) (or res arg-acc-list-prime)) ||# arg-acc-list-prime)) ;;; op parser-collect-one-argument : ;;; LIST[ ( ChaosTermList . TokenList ) ] -- not empty ! ;;; Module ;;; PrecedenceLevel -- constraint ;;; Sort + { Universal } -- constraint ;;; -> ;;; LIST[ ( ChaosTermList . TokenList ) ] (defun parser-collect-one-argument (arg-acc-list module level-constraint sort-constraint) (declare (type list arg-acc-list) (type module module) (type fixnum level-constraint) (type sort* sort-constraint)) (let ((arg-acc-list-prime nil)) (dolist (arg-acc arg-acc-list (delete-duplicates arg-acc-list-prime :test #'equal)) (let ((token-list (cdr arg-acc)) ) (if (null token-list) nil ;this iteration is finished (let* ((arg-list (car arg-acc)) (terletox-list (parse-term token-list module level-constraint sort-constraint))) ;; notice that parser is not called with ;; token-list empty (dolist (terletox terletox-list) ;; if terletox-list empty, no effect (let* ((arg-prime (caar terletox)) (token-list-prime (cdr terletox)) (arg-list-prime (cons arg-prime arg-list)) ;; notice that we accumulate arguments in reverse order (arg-acc-prime (cons arg-list-prime token-list-prime))) (setq arg-acc-list-prime (cons arg-acc-prime arg-acc-list-prime)))))))))) ;;; op parser-scan-token : ;;; LIST[ ( ChaosTermList . TokenList ) ] -- not empty ! ;;; Token -- ie Lisp character string ;;; -> ;;; LIST[ ( ChaosTermList . TokenList ) ] ;;; (defun parser-scan-token (arg-acc-list token) (declare (type list arg-acc-list) (type t token)) (let ((arg-acc-list-prime nil)) (dolist (arg-acc arg-acc-list arg-acc-list-prime) (let ((token-list (cdr arg-acc))) (if (equal token (car token-list)) ;; token-list is not empty and begins with expected token (let* ((token-list-prime (cdr token-list)) (arg-list (car arg-acc)) (arg-acc-prime (cons arg-list token-list-prime))) (setq arg-acc-list-prime (cons arg-acc-prime arg-acc-list-prime))) nil))))) ;;; op parser-in-same-connected-component : ;;; Sort Sort SortOrder -> Bool ;;; (defun parser-in-same-connected-component (sort1 sort2 sort-order) #-GCL (declare (inline sort<)) (or (sort= sort1 sort2) (sort= sort1 *cosmos*) (sort= sort2 *cosmos*) (sort= sort1 *bottom-sort*) (sort= sort2 *bottom-sort*) (if (err-sort-p sort2) (sort= sort2 (the-err-sort sort1 sort-order)) (and (eq (sort-hidden sort1) (sort-hidden sort2)) (or (if (sort-is-hidden sort1) (sort= sort2 *huniversal-sort*) (sort= sort2 *universal-sort*)) (sort< sort1 sort2 sort-order) (sort< sort2 sort1 sort-order) (is-in-same-connected-component sort1 sort2 sort-order)))))) ;;; op parser-make-terms : ;;; Operator ;;; LIST[ ( LIST[ ChaosTerm ] . TokenList ) ] -- not empty ;;; Module ;;; -> LIST[ ( ( ChaosTerm . PrecedenceLevel ) . TokenList ) ] . ;;; -- possibly empty ;;; ;;; Remark. This function is called by: ;;; parser-finish-term-for-operator and get-term-from-antefix-operator (defun parser-make-terms (method arg-acc-list module) (declare (type t method) (type list arg-acc-list) (type module module)) (when *on-parse-debug* (format t "~%make term~% : method = ") (print-chaos-object method) (format t " : arg-acc-list = ") (map nil #'print-chaos-object arg-acc-list) (force-output)) (let ((terletox-list nil)) (dolist (arg-acc arg-acc-list) ;; arg-acc ::= (LIST[ChaosTerm] . TokenList) (block iteration (let* ((arg-list (car arg-acc)) (direct-arg-list (reverse arg-list)) ;; arguments were accumulated in reverse order ! (arg-sort-list (mapcar #'(lambda (x) (term-sort x)) direct-arg-list)) ;; arg-sort-list: list of argument sorts (method-prime method) ;initialization (chaos-term nil) ;reservation (precedence-level (get-method-precedence method)) (token-list (cdr arg-acc)) (terletox nil) ) ;reservation (declare (type fixnum precedence-level)) (when *on-parse-debug* (format t "~% : method prime = ") (print-chaos-object method-prime) (force-output)) (if (are-argumentsorts-correct method arg-sort-list module) (progn ;; ordinal term (when (or (method-is-universal* method) (method-is-error-method method)) (setq method-prime (lowest-method! method arg-sort-list)) (when *on-parse-debug* (format t "~% : arg sort list = ~a" arg-sort-list) (format t "~& : lowest method = ") (print-chaos-object method-prime) (force-output)) (unless method-prime ;; then no result this iteration; do not accumulate: (return-from iteration nil)) ) ;; (setq chaos-term (if (are-well-defined-terms direct-arg-list) (parser-make-applform (method-coarity method-prime) method-prime direct-arg-list) (make-inheritedly-ill-term method-prime direct-arg-list))) ;; check for _:is_, sortmembership predicate #|| (when (eq *sort-membership* method-prime) (unless (test-sort-memb-predicate chaos-term) (setq chaos-term (make-directly-ill-term method-prime direct-arg-list)))) ||# ) ;; ;; incorrect argument(s). (progn (when *on-parse-debug* (format t "~%incorrenct args, meth= ") (print-chaos-object method) (print-chaos-object arg-sort-list)) (setq chaos-term (make-directly-ill-term method direct-arg-list)))) ;; accummlate possible parses. ;; (when chaos-term (setq terletox (cons (cons chaos-term precedence-level) token-list) terletox-list (cons terletox terletox-list))) ;; (when *on-parse-debug* (format t "~% : chaos-term=") (term-print chaos-term) (format t "~& : terletox=") (print-terletox terletox)) )) ; block iteration ) ; dolist (when *on-parse-debug* (format t "~% : result = ") (print-terletox-list terletox-list)) terletox-list)) (defun test-sort-memb-predicate (term &optional (module (get-context-module))) (with-in-module (module) (let ((arg1 (term-arg-1 term)) (id-const (term-arg-2 term))) (let ((sorts (gather-sorts-with-id id-const module)) (term-sort (term-sort arg1))) (unless sorts (with-output-chaos-error ('no-sort) (format t "_:_, no such sort ~a in the current context." (get-sort-id-value id-const)))) (if (some #'(lambda (x) (parser-in-same-connected-component x term-sort *current-sort-order*)) sorts) t nil))))) (defun print-terletox (x) (format t "~%terletox: term = ") (term-print (caar x) t t) ;; (print-chaos-object (caar x)) (format t ", prec=~d" (cdar x)) (format t ", tokens=") (print-chaos-object (cdr x))) (defun print-terletox-list (x) (dolist (y x) (print-terletox y))) ;;; PARSER-MAKE-APPLFORM sort method arg-list ;;; make application form. ;;; ;;; ** fill missing attributes by a variable for record/class instances if ;;; required. also generaizes the pattern, that is, replaces class/record ;;; id by a variable, and attributes' ids by variables. ;;; NOTE: ;;; ;;; (block find-instance ;;; (when (or (eq method *object-reference-method*) ;;; (method-is-restriction-of method *object-reference-method*)) ;;; (let ((id (car arg-list)) ;;; (class (sort-id sort)) ;;; (object nil)) ;;; (when (term-is-variable? id) ;;; (return-from find-instance nil)) ;;; (when (setf object (find-instance id class)) ;;; (return-from parser-make-applform object))))) ;;; (defvar *rc-debug* nil) (defun parser-make-applform (sort method arg-list) (declare (type sort* sort) (type method method) (type list arg-list)) (macrolet ((not-lowest-p-fast (sort) `(or (eq ,sort *universal-sort*) (eq ,sort *huniversal-sort*) (eq ,sort *cosmos-sort*) (eq (sort-type ,sort) '%err-sort)))) (flet ((make-form (sort method arg-list) (make-applform sort method arg-list))) (let ((result nil)) (if *fill-rc-attribute* (let ((attrpos nil) (class nil)) (if (method-is-object-constructor method) (progn (setf attrpos 2) (setf class t)) (when (method-is-record-constructor method) (setf attrpos 1))) (if attrpos (let ((attrs (nth attrpos arg-list)) (cr-sort (method-coarity method))) (when class (replace-class-id-with-var cr-sort arg-list)) (if attrs (cond ((sort= (term-sort attrs) *attribute-list-sort*) (let* ((attr-method (term-head attrs)) (sv-pairs (list-ac-subterms attrs attr-method)) (flg nil)) (dolist (sv-pair sv-pairs) (block next (when (sort= (term-sort sv-pair) *attribute-list-sort*) (setf flg t) (return-from next nil)) ;; normal sv-pair (replace-attr-id-with-var cr-sort sv-pair))) (unless flg (when (or *parsing-axiom-lhs* *parse-lhs-attr-vars*) ;; (break "1") (setq *parse-lhs-attr-vars* t) (setf (nth attrpos arg-list) (make-right-assoc-normal-form attr-method (nconc sv-pairs (list *attribute-list-aux-variable*)))))) (setq result (make-form sort method arg-list)) result)) (t ;; single sv-pair & not list of attribure. (replace-attr-id-with-var cr-sort attrs) (when (or *parsing-axiom-lhs* *parse-lhs-attr-vars*) ;; (break "2") (setq *parse-lhs-attr-vars* t) (setf (nth attrpos arg-list) (make-applform *attribute-list-sort* *attribute-list-constructor* (list attrs *attribute-list-aux-variable*)))) (setq result (make-form sort method arg-list)) result)) ;; no attributes (progn (setq result (make-form sort method arg-list)) ))) (progn (setq result (make-form sort method arg-list)) ))) ;; normal term (setq result (make-form sort method arg-list))) ;; special treatment of if_then_else_fi ;; special treatment of generic operators (when (eq (term-head result) *bool-if*) (set-if-then-else-sort result)) result)))) (defun replace-class-id-with-var (cr-sort arg-list) (declare (type sort* cr-sort) (type list arg-list)) (let ((class-id (second arg-list)) (id-var nil)) (unless (term-is-variable? class-id) (setf id-var (crsort-id-variable cr-sort)) (unless id-var (with-output-panic-message () (format t "could not find Class id variable for class ~s" (sort-id cr-sort)) ;; (break) (chaos-error 'panic))) (if *parsing-axiom-lhs* (pushnew id-var *lhs-attrid-vars*) (unless (memq id-var *lhs-attrid-vars*) (return-from replace-class-id-with-var nil))) ;; (setf (second arg-list) id-var)) arg-list)) (defun replace-attr-id-with-var (cr-sort sv-pair) (declare (type sort* cr-sort) (type term sv-pair)) (let ((attr-id (term-arg-1 sv-pair)) id-var) (unless (term-is-variable? attr-id) (setf id-var (get-attribute-id-variable (car (method-symbol (term-method attr-id))) cr-sort)) (unless id-var (with-output-panic-message () (format t "could not find id variable for slot ~a of sort ~a" (car (method-symbol (term-method attr-id))) (sort-id cr-sort)) (print-next) (princ "id term = ") (term-print attr-id) (print-next) (princ " sv pair = ") (print-chaos-object sv-pair) ;; (break) (chaos-error 'panic) )) (if *parsing-axiom-lhs* (pushnew id-var *lhs-attrid-vars*) (unless (memq id-var *lhs-attrid-vars*) (return-from replace-attr-id-with-var nil))) ;; (setf (term-arg-1 sv-pair) id-var)) sv-pair)) ;;; op are-argumentsorts-correct : ;;; Operator ;;; LIST[ Sort ] -- possibly empty (cf. constants) ;;; Module ;;; -> Bool . ;;; ;;; Abstract: predicate returning 't {true} if each sort in the list ;;; (meant to be a list of argument sorts) is included in the sort ;;; expected by the operator for an argument at this position. ;;; #|| *identical* === *nonidentical* =/== *bool-if* if_then_else_fi *bool-equal* == *beh-equal* =*= *bool-nonequal* =/= *beh-eq-pred* =b= *rwl-predicate* ==> *rwl-predicate2* =()=> *sort-membership* _:_ ||# ;;; !!! to optimize !!! (defun are-argumentsorts-correct (method sort-list module) (declare (type method method) (type list sort-list) (type module module)) (if (null sort-list) t (if (check-universally-defined-builtins method sort-list module) (let* ((reference-sort-list (method-arity method)) (sort-order (module-sort-order module)) (result t) (sort-list-prime sort-list) (sort nil)) (dolist (reference-sort reference-sort-list result) (setq sort (car sort-list-prime) sort-list-prime (cdr sort-list-prime)) ;for next iteration (if (or (sort= reference-sort *universal-sort*) (sort= reference-sort *huniversal-sort*) (sort= reference-sort *cosmos*) (err-sort-p reference-sort) (sort<= sort reference-sort sort-order)) ;;then do nothing; go to next iteration: nil ;; else abort looping; return false: (progn (when *on-parse-debug* (format t "~%incorrect argument sort ~a" (sort-id sort))) (return nil))))) nil))) (defun arity-contains-universal-sort (method) (if (cdr (method-arity method)) (and (or (eq method *bool-if*) (dolist (s (method-arity method) t) (unless (or (eq s *cosmos*) (eq s *universal-sort*) (eq s *huniversal-sort*)) (return-from arity-contains-universal-sort nil)))) ;;(every #'(lambda (x y) (eq x y)) (method-arity method)) ) nil)) (defun check-universally-defined-builtins (method sort-list module) (let ((so (module-sort-order module))) (if ;; (memq method *bi-universal-operators*) (arity-contains-universal-sort method) (cond ((eq method *bool-if*) ;; if_then_else_fi (parser-in-same-connected-component (second sort-list) (third sort-list) so)) #|| ((eq method *rwl-predicate2*) ;; _=()=>_ (parser-in-same-connected-component (first sort-list) (third sort-list) so)) ||# ((eq method *sort-membership*) ;; _:is_, the first argument is a term and the second ;; argument is built-in constant of SortId. ;; thus, anyhing is OK. t) (t ;; other binary universal operators (parser-in-same-connected-component (first sort-list) (second sort-list) so))) t))) ;;; op are-well-defined-terms : ;;; LIST[ ChaosTerm ] -- possibly empty ;;; -> Bool . ;;; Abstract: predicate returning 't {true} if all terms are well-formed. (defun are-well-defined-terms (chaos-term-list) (declare (type list chaos-term-list)) (let ((result t)) (dolist (chaos-term chaos-term-list result) (if (term-ill-defined chaos-term) ;; abort looping and return false (return nil))))) ;;; EOF cafeobj-1.5.4/chaos/term-parser/parse-macro.lisp0000644000000000000000000001334312605345045020260 0ustar rootroot;;-*-Mode:LISP; Package: CHAOS; Base:10; Syntax:Common-lisp -*- ;;; ;;; Copyright (c) 2000-2015, Toshimi Sawada. All rights reserved. ;;; ;;; Redistribution and use in source and binary forms, with or without ;;; modification, are permitted provided that the following conditions ;;; are met: ;;; ;;; * Redistributions of source code must retain the above copyright ;;; notice, this list of conditions and the following disclaimer. ;;; ;;; * Redistributions in binary form must reproduce the above ;;; copyright notice, this list of conditions and the following ;;; disclaimer in the documentation and/or other materials ;;; provided with the distribution. ;;; ;;; THIS SOFTWARE IS PROVIDED BY THE AUTHOR 'AS IS' AND ANY EXPRESSED ;;; OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED ;;; WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ;;; ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY ;;; DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL ;;; DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE ;;; GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS ;;; INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, ;;; WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING ;;; NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS ;;; SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. ;;; (in-package :chaos) #|============================================================================== System:Chaos Module:term-parser.chaos File: parse-macro.lisp ==============================================================================|# #-:chaos-debug (declaim (optimize (speed 3) (safety 0) #-GCL (debug 0))) #+:chaos-debug (declaim (optimize (speed 1) (safety 3) #-GCL (debug 3))) (defvar *debug-macro* nil) (declaim (special *debug-macro-nest*)) (defvar *debug-marco-nest* 0) (defun add-macro-to-module (module macro) (push macro (module-macros module))) (defun setup-macro-rule (macro module) (add-macro-to-method macro (term-head (macro-lhs macro)) (module-opinfo-table module))) (defun add-macro-to-method (macro method &optional (opinfo-table *current-opinfo-table*)) (setf (method-macros method opinfo-table) (adjoin-macro macro (method-macros method opinfo-table)))) (defun adjoin-macro (macro ms) (do* ((lst ms (cdr lst)) (r (car lst) (car lst))) ((null lst) (cons macro ms)) (when (macro-is-similar? macro r) (let ((newlhs (macro-lhs macro)) (oldlhs (macro-lhs r))) (when (and (not (term-is-variable? newlhs)) (not (term-is-variable? oldlhs)) (not (method= (term-method newlhs) (term-method oldlhs))) (sort<= (term-sort oldlhs) (term-sort newlhs))) (rplaca lst r)) (return-from adjoin-macro ms))))) (defun macro-is-similar? (macro1 macro2) (and (term-is-congruent-2? (macro-lhs macro1) (macro-lhs macro2)) (term-is-congruent-2? (macro-rhs macro1) (macro-rhs macro2)))) (defun expand-macro (term &optional (module (get-context-module))) (labels ((apply-macro-rule (macro term) (block the-end (multiple-value-bind (global-state subst no-match E-equal) (first-match (macro-lhs macro) term) (declare (ignore global-state e-equal)) (when no-match (return-from the-end nil)) (catch 'rule-failure (term-replace term (substitute-image subst (macro-rhs macro))) (return-from the-end term)) nil))) ;; (substitute-image (sigma term) (declare (type list sigma) (type term)) (cond ((term-is-variable? term) (let ((im (variable-image sigma term))) (if im im term))) ((term-is-builtin-constant? term) term) ((term-is-lisp-form? term) (multiple-value-bind (new success) (funcall (lisp-form-function term) sigma) (if success new (throw 'rule-failure nil)))) ((term-is-applform? term) (let ((l-result nil)) (dolist (s-t (term-subterms term)) (push (substitute-image sigma s-t) l-result)) (make-term-with-sort-check (term-head term) (nreverse l-result)))) ))) ;; (unless (term-is-application-form? term) (return-from expand-macro term)) ;; (with-in-module (module) (let ((*debug-macro-nest* (1+ *debug-marco-nest*))) (when *debug-macro* (format t "~%~D>[expand-macro]: " *debug-macro-nest*) (term-print term)) (dolist (sub (term-subterms term)) (expand-macro sub module)) (update-lowest-parse term) (let ((top (term-head term))) (if (block the-end (dolist (rule (method-macros top)) (if (apply-macro-rule rule term) (return-from the-end t)))) (expand-macro term module)) (update-lowest-parse term) (when *debug-macro* (format t "~%<~D " *debug-macro-nest*) (term-print term)) term) )))) ;;; EOF cafeobj-1.5.4/chaos/term-parser/parse-top.lisp0000644000000000000000000007741112605345045017767 0ustar rootroot;;;-*-Mode:LISP; Package: CHAOS; Base:10; Syntax:Common-lisp -*- ;;; ;;; Copyright (c) 2000-2015, Toshimi Sawada. All rights reserved. ;;; ;;; Redistribution and use in source and binary forms, with or without ;;; modification, are permitted provided that the following conditions ;;; are met: ;;; ;;; * Redistributions of source code must retain the above copyright ;;; notice, this list of conditions and the following disclaimer. ;;; ;;; * Redistributions in binary form must reproduce the above ;;; copyright notice, this list of conditions and the following ;;; disclaimer in the documentation and/or other materials ;;; provided with the distribution. ;;; ;;; THIS SOFTWARE IS PROVIDED BY THE AUTHOR 'AS IS' AND ANY EXPRESSED ;;; OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED ;;; WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ;;; ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY ;;; DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL ;;; DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE ;;; GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS ;;; INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, ;;; WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING ;;; NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS ;;; SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. ;;; (in-package :chaos) #|============================================================================== System:Chaos Module:term-parser.chaos File: parse-engine.lisp ==============================================================================|# #-:chaos-debug (declaim (optimize (speed 3) (safety 0) #-GCL (debug 0))) #+:chaos-debug (declaim (optimize (speed 1) (safety 3) #-GCL (debug 3))) ;;; SIMPLE PARSER TOP LEVEL ROUTINES (defun simple-parse-from-string (string &optional (module *current-module*) (sort *cosmos*)) (declare ;; (type simple-string string) (type module module) (type sort* sort)) (with-in-module (module) (setf string (read-term-from-string string)) ;; (prepare-for-parsing module) (let ((*parse-variables* nil)) (simple-parse module string sort)))) (defun simple-parse-from-string* (string &optional (module *current-module*) (sort *cosmos*)) ;; (prepare-for-parsing module) (simple-parse module string sort)) (defvar *parse-raw-parse* 'none) (defvar .saved-ambiguous. nil) ;;; SIMPLE-PARSE : module list-of-tokens &optional sort-constraint -> term ;;; (defun simple-parse (module preterm &optional (sort *cosmos*)) (declare (type module module) (type (or string list) preterm) (type sort* sort)) (with-in-module (module) (when (stringp preterm) (setf preterm (read-term-from-string preterm))) (if (null preterm) (progn (with-output-simple-msg () (princ "[Error] empty input, no parse.")) (make-bconst-term *syntax-err-sort* '(the input is empty))) (let ((res nil)) (setq res (catch :parse-error (parse-term preterm module parser-max-precedence sort))) (when *on-parse-debug* (format t "~%[simple-parse] preterm= ~s, parsed term = " preterm) (print-terletox-list res)) (let* ((final-well-defined (mapcan #'(lambda (e) ;; e ::= ((term . prec) . remaning-tokens) (when (and (null (cdr e)) ; no remaining tokens (not (term-ill-defined (caar e)))) (list (caar e)))) res)) (final (if final-well-defined final-well-defined (mapcan #'(lambda (e) ;; gather ones without remaining tokens (unless (cdr e) (list (caar e)))) res))) (partial (if final nil (let ((len 0) ;; gather partially parsed ones (val nil)) (dolist (e res val) (if (< len (length (the list (cdr e)))) (setf val (cons (caar e) (cdr e)))))))) (result nil)) ;; (cond (partial (setf result ;; syntax error: partially parsed (make-applform *syntax-err-sort* *partial-method* (list (car partial) (make-bconst-term *universal-sort* (cdr partial)))))) (final (if (term-ill-defined (car final)) (setf result (car final)) (setf result (if (null (cdr final)) (car final) (select-parse module final t))))) (t (setf result (make-bconst-term *syntax-err-sort* ;; whole term could not be parsed (if res res preterm))))) ;; (setq *parse-raw-parse* result) (when (term-ill-defined result) (with-output-simple-msg () (format t "~&[Error] no successful parse"))) (parse-convert result module)))))) (defun select-parse (module final &optional print-warning) (declare (type module module) (type list final) (type t print-warning)) (let ((*print-with-sort* t) (*fancy-print* nil)) (setq .saved-ambiguous. final) ;; minimize the ambiguity. (setq final (pre-choose-final module final)) (unless (cdr final) (return-from select-parse (car final))) ;; (when print-warning (with-output-chaos-warning () (princ "Ambiguous term:") (print-next) (princ "please try `check regularity' command.") (print-next) (princ "if the signature is regular, there possibly be ") (print-next) (princ "some name conflicts between operators and variables."))) ;; (print-next) (if *select-ambig-term* (progn (princ "* Please select a term from the followings:") (print-next) (parse-show-diff final) (print-next) ;; select a term (let ((choise 1) user-choise (num (length final))) (declare (type fixnum choise num)) ;; query user (setq user-choise (query-input 1 60 "* Please input your choice (a number from 1 to ~d, default is 1)? " num)) (cond ((and (numberp user-choise) (<= (the fixnum user-choise) num)) (setf choise user-choise) (format t "Taking the ~:R as correct.~%" choise)) (t (format t "Arbitrarily taking the ~:R as correct.~%" choise))) (nth (1- choise) final))) (progn (parse-show-diff final) (make-bconst-term *syntax-err-sort* "ambiguous term"))))) (defun pre-choose-final-sub (module final) (declare (type module module) (type list final)) ;; here we minimize the set of candidates of possible result of parsing. (let ((well ) (min nil) (so (module-sort-order module)) (res nil)) (declare (type list well res min) (type sort-order so)) ;; of course, ill sorted terms detected during parsing procs. are ;; out of our focus. ;; miserablly terminates when all are ill-defined terms... (setq well (remove-if #'(lambda (x) (not (term-is-really-well-defined x))) final)) (unless well (return-from pre-choose-final-sub final)) ;; select the lowest parses among possibilities. ;; this might be redundant because we has been trying to get the ;; lowest operator so far. ;; 2010/7/3: we must not eliminate variables!!!!!!!! ;; (setf min (minimal-sorts (mapcar #'(lambda (x) (term-sort x)) well) so)) (dolist (f well) ; filter out terms with ; non-minimal sort. (when (or (term-is-variable? f) (memq (term-sort f) min)) (push f res))) ;; special case for terms of *universal-sort*, they may have some ;;; ill-formed terms in their subterms. (if (or (sort= (car min) *cosmos*) (sort= (car min) *universal-sort*) (sort= (car min) *huniversal-sort*)) (let ((pres (remove-if #'(lambda (x) (and (term-is-application-form? x) (some #'term-contains-error-method (term-subterms x)))) res))) (if pres ;; if there are some remaining terms serviving these ;; hard checks, they can be the result. pres ;; OK, we failed in a test. let ask users which we should ;; take as a result. res)) res))) (defun pre-choose-final (module final) (declare (type module module) (type list final)) ;; due to our parsing algorithm (no flames are welcom), possibly ;; the same (in a sense of term-is-similar?) terms can co-exist. (setq final (delete-duplicates final :test #'term-is-similar?)) (let ((result final)) (when (and (cdr final) (assoc *id-module* (module-all-submodules module))) (setq result (remove-if #'(lambda (x) (sort= *id-sort* (term-sort x))) final))) (when (every #'(lambda(x) (term-is-application-form? x)) result) (when *on-operator-debug* (format t "~%[pre-choose-final]") (dolist (tx final) (terpri) (print-chaos-object (term-head tx)) (princ ": ") (term-print-with-sort tx))) (let ((mslist (mapcar #'(lambda (x) (term-head x)) result)) (least-op nil) (gen-op nil) (res nil)) (with-in-module (module) (cond ((null (cdr mslist)) ;; do nothing ) ((null (cdr (remove-duplicates mslist :test #'(lambda (x y) (method= x y))))) ;; check subterms and select one (setq result (choose-most-apropreate-term result))) (t ;; first find the lowest one (setq least-op (choose-lowest-op mslist)) (cond (least-op (if (method= *bool-if* least-op) (setq res (select-if-then-least result (module-sort-order module))) (push (find-if #'(lambda (x) (method= least-op (term-head x))) result) res)) (setq result res)) (t (setq gen-op (choose-most-general-op mslist)) ;; then select most general one (when gen-op (push (find-if #'(lambda (x) (method= gen-op (term-head x))) result) res) (setq result res))))))))) (if result (pre-choose-final-sub module result) (pre-choose-final-sub module final)))) ;;; select a one among terms with the same top operator (defun choose-most-apropreate-term (terms) (unless (term-subterms (car terms)) ;; this is very strange case (return-from choose-most-apropreate-term nil)) (let ((res nil)) (dolist (term terms) (when (every #'(lambda (x) (not (term-head-is-error x))) (term-subterms term)) (push term res))) res)) ;;; NOT USED NOW. (defun parser-diagnose (module preterm sort) (declare (type module module) (type list preterm) (type sort* sort)) (if (null preterm) (format t "-- !Input is empty~%.") (progn (print-simple-princ-open preterm) (print-next) (let ((prefix nil) (suffix preterm) (flags (make-list (length preterm))) (len (length preterm))) (declare (type fixnum len)) (when *chaos-verbose* (princ "[ partial parses ]: ") (print-next) (let ((indent *print-indent*)) (declare (type fixnum indent)) (loop (incf indent) (let ((*print-indent* indent)) (when (null suffix) (return)) (when *chaos-verbose* (princ " ") (when prefix (print-simple-princ-open prefix)) (princ " @ ") (when suffix (print-simple-princ-open suffix)) (print-next)) (let ((res (catch :parse-error (parse-term suffix module parser-max-precedence ; ******* sort)))) (mapc #'(lambda (e) (let ((lenp (length prefix))) (dotimes (i (- len (+ lenp (length (cdr e))))) (setf (nth (+ lenp i) flags) t) )) (when *chaos-verbose* (princ " ==> ") (when prefix (print-simple-princ-open prefix) (princ " <<< ")) (let ((tm (caar e))) (princ "(") (term-print tm) (princ ").") (print-sort-name (term-sort tm) module)) (when (cdr e) (princ " >>> ") (print-simple-princ-open (cdr e))) (print-next))) res) ) (setq prefix (append prefix (list (car suffix)))) (setq suffix (cdr suffix)) )))) (princ "[ partial descriptions ]: ") (let ((*print-indent* (+ *print-indent* 2))) (print-next) (dotimes (i len) (if (nth i flags) (princ " !") (progn (princ " ") (princ (nth i preterm))))) (print-next) (dotimes (i len) (if (and (null (nth i flags)) (or (= 0 i) (nth (1- i) flags))) (princ " -[") (if (and (not (= 0 i)) (nth i flags) (null (nth (1- i) flags))) (princ "]- ") (princ " "))) (princ (nth i preterm)) (print-check)) (when (null (nth (1- len) flags)) (princ "]-")) (print-next) )) ))) (defun simple-parse-ground (id module preterm &optional (sort *cosmos*)) (declare (type t id) (type module module) (type list preterm) (type sort* sort)) (let ((trm (simple-parse module preterm sort))) (unless (term-is-ground? trm) (with-output-chaos-warning () (format t "in ~a, term contains variable(s): " id) (term-print trm))) trm)) ;;; parse-convert : term -> term' ;;; (defun parse-convert (term &optional (module (get-context-module))) ;; #define macro expand (when *macroexpand* (setq term (expand-macro term module))) (if *parse-normalize* (with-in-module (module) (right-associative-normal-form term)) term)) ;;; convert builtin constants to appropriate form ;;; (cond ((term-is-variable? term) term) ;;; ((term-is-builtin-constant? term) term) ;;; (t (re-assign-term-sort term) term)) (defun parse-show-diff (terms) (declare (type list terms)) (let ((*fancy-print* nil) ;; (*print-with-sort* t) ) (do* ((term-list terms (cdr term-list)) (num 1 (1+ num)) (term (car term-list) (car term-list))) ((null term-list)) (print-next) (princ "[") (princ num) (princ "] ") (if (term-is-variable? term) (print-to-left (format nil "variable ~a:~a" (variable-name term) (sort-print-name (term-sort term))) "-") (if (term-is-builtin-constant? term) (print-to-left (bi-method-print-string term) "-") (print-to-left (method-print-string (term-head term)) "-") ) ) (if *chaos-verbose* (print-term-tree term t) (term-print term) )))) ;;; produces a list of initial complete parses given all parses as arg ;;; (defun parser-complete-parses (mod parselist) (declare (type list parselist)) (mapcan #'(lambda (x) (if (null (cdr x)) (list (parse-convert (caar x) mod)) nil)) parselist)) ;;; produces a list of initial complete parses; nil for error ;;; (defun parser-parses (module preterm &optional (sort *cosmos*)) (declare (type module module) (type (or list string) preterm) (type sort* sort)) (when (stringp preterm) (setf preterm (read-term-from-string preterm))) (if (null preterm) nil (with-in-module (module) (let ((val (catch :parse-error (parse-term preterm module parser-max-precedence sort)))) ; **** (let ((res (mapcan #'(lambda (x) (if (null (cdr x)) (list (parse-convert (caar x) module)) nil)) val))) (parser-find-parse module res *cosmos* t)))))) ;;; takes list of first parses and a sort and comes back with ;;; nil -- none; or a list of possible parses ;;; (any well-defined preferred to ill-defined) (defun parser-find-parse (module parses sort &optional try-remove-error-method) (declare (ignore try-remove-error-method) (type module module) (type list parses) (type sort* sort) (type (or null t) try-remove-error-method)) ; optional parameter is not used now, ; the work is done in pre-choose-final. ; callers should adapt to this change. (let ((so (module-sort-order module)) (well nil) (p-well nil) (any nil) (ill nil)) (declare (type sort-order so) (type list well p-well any ill)) ;; filter out some (setq parses (pre-choose-final module parses)) ;; classify terms: ;; well = well defined & term-sort(term) <= sort. ;; p-well = any well-defined terms of sort belonging the same connected ;; component with given restriction (considering error-sort). ;; any = well-defined but not satisfy the sort restriction. ;; ill = ill-defined terms of any kind. (dolist (term parses) (if (term-ill-defined term) (push term ill) (if (sort<= (term-sort term) sort so) (push term well) (if (is-in-same-connected-component (term-sort term) sort so) (push term p-well) (push term any))))) ;; the precedence is ofcource well > p-well > ill > any (or well p-well ill any))) ;;; takes list of first parses and a sort and comes back with ;;; nil -- none; or a list of possible parses ;;; (any well-defined preferred to ill-defined) ;;; very similar to above, but is required to directly satisfy sort restriction (defun parser-find-parse-strict (module parses sort) (declare (type module module) (type list parses) (type sort* sort)) (let ((*current-module* module)) (let ((so (module-sort-order module)) (ill nil) (well nil)) (declare (type sort-order so)) (dolist (tm parses) (if (sort<= (term-sort tm) sort so) (if (term-ill-defined tm) (when (null well) (push tm ill)) (push tm well)))) (if well well (if ill ill nil))))) ;;; takes list of first parses and a list of sorts and comes back with ;;; nil -- none; or a list of possible parses ;;; (any well-defined preferred to ill-defined) ;;; very similar to above, but is required to directly satisfy sort restriction ;;; (defun parser-find-parse-strict-sorts (module parses sorts) (declare (type module module) (type list parses sorts)) (let ((*current-module* module)) (let ((so (module-sort-order module)) (ill nil) (well nil)) (declare (type sort-order so)) (dolist (tm parses) (if (member (term-sort tm) sorts :test #'(lambda (x y) (sort<= x y so))) (if (term-ill-defined tm) (when (null well) (push tm ill)) (push tm well)))) (if well well (if ill ill nil))))) ;;; given list of parses of lhs and rhs (as from parser-parses) looks ;;; for compatible pair ;; (defun parser-find-rule-pair (module lhslst rhslst) (declare (type module module) (type list lhslst rhslst)) (with-in-module (module) (let ((so (module-sort-order module)) (ok nil) (retr nil)) ;; foreach lhs:lhslst { ;; foreach rhs:rhslst { (dolist (lhs lhslst) (block cont-lhs (when *on-axiom-debug* (format t "~%lhs: ") (term-print-with-sort lhs)) (when (term-ill-defined lhs) (return-from cont-lhs)) ; skip it and continue (let ((sl (term-sort lhs))) (dolist (rhs rhslst) (block cont-rhs (when *on-axiom-debug* (format t "~&rhs: ") (term-print-with-sort rhs)) (when (term-ill-defined rhs) (return-from cont-rhs)) ; continue it and continue (let ((sr (term-sort rhs))) (if (sort<= sr sl so) (push (list lhs rhs) ok) (when (is-in-same-connected-component sl sr so) (push (list lhs rhs) retr))))))))) ;; (or ok retr nil)))) ;;; used in modexp-compute-op-mapping ;;; (defun parse-quiet-parse (module preterm &optional (sort *cosmos*)) (declare (type module module) (type list preterm) (type sort* sort)) (if (null preterm) (make-bconst-term *syntax-err-sort* '(input empty)) (with-in-module (module) (let ((res (catch :parse-error (parse-term preterm module parser-max-precedence sort)))) ; **** (let ((final-well-defined (mapcan #'(lambda (e) (when (and (null (cdr e)) (not (term-ill-defined (caar e)))) (list (caar e)))) res))) (let ((final (if final-well-defined final-well-defined (mapcan #'(lambda (e) (when (null (cdr e)) (list (caar e)))) res)))) (if (null final) (make-bconst-term *syntax-err-sort* preterm) (let ((raw-parse (car final))) (parse-convert raw-parse module))))))))) ;;;============================================================================= ;;; HOUSE KEEPER ;;;============================================================================= ;;; UPDATE-PARSE-INFORMATION : Module SET[Operator] SET[Variable] -> {cur-mod} ;;; create parse-dictionary, juxtaposition for module ;;; and update sytactic attributes of mehtods. ;;; (defun token-seq-to-str (tseq) (reduce #'(lambda (x y) (concatenate 'string x y)) (mapcar #'(lambda (x) (if (eq x t) "_" x)) tseq))) (defun update-parse-information (module) (declare (type module module)) (let ((opinfos (module-all-operators module)) (variables (module-variables module))) (let ((mod-dict (module-parse-dictionary module))) ;; clean up (initialize-parse-dictionary mod-dict) ;; (dolist (s (module-all-sorts module)) (when (sort-is-builtin s) (dictionary-add-builtin-sort mod-dict s))) (dolist (opinfo opinfos) (let* ((op (opinfo-operator opinfo)) (syn-typ (operator-syntactic-type op)) (token-seq (operator-token-sequence op))) (dolist (meth (opinfo-methods opinfo)) (case syn-typ (antefix (dictionary-add-info-on-token mod-dict (car token-seq) meth)) (latefix (dictionary-add-info-on-token mod-dict (cadr token-seq) meth) ;;#|| (dictionary-add-info-on-token mod-dict (token-seq-to-str token-seq) meth) ;;||# ) (juxtaposition ;;#|| (dictionary-add-info-on-token mod-dict (token-seq-to-str token-seq) meth) ;;||# (pushnew meth (module-juxtaposition module) :test #'eq)) (otherwise (break "SNARK: update-parse-information")))) )) (dolist (var variables) (dictionary-add-info-on-token mod-dict (string (car var)) (cdr var))) (compress-overloaded-methods module mod-dict) (setf (module-juxtaposition module) (method-compress-overloaded-set (module-juxtaposition module) (module-sort-order module))) ;; set up MACRO rules (dolist (macro (module-macros module)) (setup-macro-rule macro module)) ;; ))) (defun compress-overloaded-methods (module dict) (declare (type module module) (type parse-dictionary dict)) (with-in-module (module) (let ((table (dictionary-table dict)) (compressed nil)) (maphash #'(lambda (ky val) (push (cons ky (method-compress-overloaded-set val)) compressed)) table) ;; (dolist (comp compressed) (setf (gethash (car comp) table) (cdr comp))) ;; (mapcar #'(lambda (opinfo) (let* ((op (opinfo-operator opinfo)) (token-seq (operator-token-sequence op)) (key (if (eq t (car token-seq)) (cadr token-seq) (car token-seq))) (val (gethash key table))) (unless (or (null val) (null (cdr val))) (setf (gethash key table) (method-compress-overloaded-set (gethash key table)))))) (module-all-operators module)) ))) ;;; ** NOTE: this has side-effects ;;; (1) updating overloading info on methods (strictly-overloaded). ;;; (2) ;;; #|| (defun method-compress-overloaded-set (items &optional (sort-order *current-sort-order*) (opinfo-table *current-opinfo-table*) (module *current-module*)) (let ((methods nil) (res nil)) (dolist (i items) ; items may contain vairables (if (and (operator-method-p i) (method-arity i)) ; methods with more than 0 arities (push i methods) (push i res))) ;; compress methods (dolist (method methods) (block next-method (let ((meth (method-select-most-general-version-of method methods sort-order opinfo-table module))) (unless (memq meth res) ;; set syntactic properties of the most general method used for parsing, ;; we consider `associativity' and `precedence'. (when (method-is-error-method meth) (let ((ms (method-lower-methods meth))) ;; assumption, lower methods (when the mehthod is strictly ;; overloaded) are ordered ... (when ms (let ((assoc (method-associativity (car ms))) (prec (get-method-precedence (car ms))) (form (method-form (car ms)))) (setf (method-associativity meth) assoc) (setf (method-precedence meth) prec) (setf (method-form meth) form))))) ;; (push meth res))))) res)) ||# (defun method-compress-overloaded-set (items &optional (sort-order *current-sort-order*) (opinfo-table *current-opinfo-table*) (module *current-module*)) (declare (type list items) (type sort-order sort-order) (type hash-table opinfo-table) (type module module)) ;; (let ((methods nil) (res nil)) (dolist (i items) ; items may contain vairables (if (and (operator-method-p i) (method-arity i)) ; methods with more than 0 arities (push i methods) (push i res))) ;; compress methods (dolist (method methods) (block next-method (let ((meth (method-select-most-general-version-of method methods sort-order opinfo-table module))) (unless (memq meth res) (push meth res))))) ;; res)) ;;; EOF cafeobj-1.5.4/chaos/tools/0000755000000000000000000000000012605345045014051 5ustar rootrootcafeobj-1.5.4/chaos/tools/compat.lisp0000644000000000000000000001077312605345045016235 0ustar rootroot;;;-*-Mode:LISP; Package: CHAOS; Base:10; Syntax:Common-lisp -*- ;;; ;;; Copyright (c) 2000-2015, Toshimi Sawada. All rights reserved. ;;; ;;; Redistribution and use in source and binary forms, with or without ;;; modification, are permitted provided that the following conditions ;;; are met: ;;; ;;; * Redistributions of source code must retain the above copyright ;;; notice, this list of conditions and the following disclaimer. ;;; ;;; * Redistributions in binary form must reproduce the above ;;; copyright notice, this list of conditions and the following ;;; disclaimer in the documentation and/or other materials ;;; provided with the distribution. ;;; ;;; THIS SOFTWARE IS PROVIDED BY THE AUTHOR 'AS IS' AND ANY EXPRESSED ;;; OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED ;;; WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ;;; ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY ;;; DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL ;;; DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE ;;; GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS ;;; INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, ;;; WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING ;;; NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS ;;; SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. ;;; (in-package :chaos) #|============================================================================= System:CHAOS Module:tools File:compat.lisp =============================================================================|# #-:chaos-debug (declaim (optimize (speed 3) (safety 0) #-GCL (debug 0))) #+:chaos-debug (declaim (optimize (speed 1) (safety 3) #-GCL (debug 3))) ;;; ;;; CHECK COMPATIBILITY ;;; (defun check-compatibility (&optional (module (get-context-module))) (unless *on-preparing-for-parsing* (prepare-for-parsing module)) (with-in-module (module) (let ((rules (module-all-rules module)) (non-decreasing-rules nil)) ;; first, perform strong but light-weight check (dolist (rule rules) (unless (rule-is-builtin rule) (unless (sort<= (term-sort (rule-rhs rule)) (term-sort (rule-lhs rule))) (push rule non-decreasing-rules)))) (unless non-decreasing-rules (return-from check-compatibility nil)) ;; checks for each operations with non-decreasing rules. (let ((ops (module-all-operators module)) (non-compat-rules nil)) (dolist (rule non-decreasing-rules) (let ((lsort (term-sort (rule-lhs rule))) (rsort (term-sort (rule-rhs rule))) (e-methods nil)) (dolist (opinfo ops) (let* ((op (opinfo-operator opinfo)) (name (operator-symbol op))) (dolist (method (cdr (opinfo-methods opinfo))) (let ((pos-list nil) (m-arity (method-arity method))) (dotimes (x (length m-arity)) (when (sort<= lsort (nth x m-arity)) (push x pos-list))) (when pos-list (let ((new-arity (copy-list m-arity))) (dolist (x pos-list) (setf (nth x new-arity) rsort)) (unless (find-compat-method method name new-arity) (push method e-methods)))))))) (when e-methods (push (cons rule e-methods) non-compat-rules)) )) non-compat-rules)))) (defun find-compat-method (method name arity) (when *on-debug* (format t "~%[find-compat-method] name = ~a, arity= " name) (print-sort-list arity)) ;; (let ((len (length arity))) (dolist (opinfo (find-operators-in-module name len *current-module*) nil) (dolist (meth (opinfo-methods opinfo)) (let ((m-ari (method-arity meth))) (when (and (not (eq method meth)) (= len (length m-ari)) (every #'(lambda (x y) (sort<= x y)) arity (method-arity meth)) (not (method-is-error-method meth))) (when *on-debug* (format t "~%* found ") (print-chaos-object meth)) (return-from find-compat-method meth))))))) ;;; EOF cafeobj-1.5.4/chaos/tools/describe.lisp0000644000000000000000000011022412605345045016522 0ustar rootroot;;;-*- Mode:LISP; Package:CHAOS; Base:10; Syntax:Common-lisp -*- ;;; ;;; Copyright (c) 2000-2015, Toshimi Sawada. All rights reserved. ;;; ;;; Redistribution and use in source and binary forms, with or without ;;; modification, are permitted provided that the following conditions ;;; are met: ;;; ;;; * Redistributions of source code must retain the above copyright ;;; notice, this list of conditions and the following disclaimer. ;;; ;;; * Redistributions in binary form must reproduce the above ;;; copyright notice, this list of conditions and the following ;;; disclaimer in the documentation and/or other materials ;;; provided with the distribution. ;;; ;;; THIS SOFTWARE IS PROVIDED BY THE AUTHOR 'AS IS' AND ANY EXPRESSED ;;; OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED ;;; WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ;;; ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY ;;; DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL ;;; DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE ;;; GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS ;;; INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, ;;; WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING ;;; NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS ;;; SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. ;;; (in-package :chaos) #|============================================================================== System: CHAOS Module: tools File: describe.lisp ==============================================================================|# #-:chaos-debug (declaim (optimize (speed 3) (safety 0) #-GCL (debug 0))) #+:chaos-debug (declaim (optimize (speed 1) (safety 3) #-GCL (debug 3))) ;;;============================================================================= ;;; HANDLERS for `show' & `describe' commands ;;;============================================================================= ;;; DESCRIBE MODULE ;;; (defun filter-hard-sorts (sort-list) (remove-if #'(lambda (x) (module-is-hard-wired (sort-module x))) sort-list)) (defun filter-hard-opinfos (opinfo-list) (remove-if #'(lambda (x) (module-is-hard-wired (operator-module (car x)))) opinfo-list)) (defparameter .separator-bold. "======================================================================") (defparameter .separator-thin. "----------------------------------------------------------------------") (defparameter .under-line. "______________________________________________________________________") (defun describe-module (mod &optional (print-indent *print-indent*)) (when (module-is-inconsistent mod) (format t "module is inconsistent and cannt be described") (print-next) (format t "please redefine it from the scratch.") (flush-all) (return-from describe-module nil)) (compile-module mod) (with-in-module (mod) (let ((*print-indent* print-indent)) (fresh-line) (print-indent #\space) ;; ---------- TITLE: name, kind, type, protected mode (princ .separator-bold.) (print-next) (let ((title (with-output-to-string (str) (let ((*standard-output* str)) (princ "module ") (print-mod-name mod)) str))) (print-centering title)) (print-next) ;; ---------- kind (case (module-kind mod) (:theory (print-centering "kind: theory")) (:object (print-centering "kind: object")) (otherwise (print-centering "kind: loose"))) (print-next) ;;---------- type (case (module-type mod) (:user (print-centering "type: user defined")) (:system (print-centering "type: built-in module")) (:hard (print-centering "type: hard wired built-in")) (otherwise (print-centering "type: user defined"))) (print-next) ;; ---------- creation date (if (module-creation-date mod) (print-centering (concatenate 'string "created: " (get-time-string (module-creation-date mod)))) (print-centering "date defined: unknown")) (print-next) ;; ---------- protected? (when (module-is-write-protected mod) (print-centering "* module is protected (disable redefinition) *") (print-next)) ;; (princ .separator-thin.) (terpri) ;; ---------- parameter ;; (when (module-parameters mod) ;; (terpri) ;; (print-centering "<< parameters >>") ;; (let ((*print-indent* (+ 2 *print-indent*))) ;; (print-module-parameters mod)) ;; (print-next)) (when (get-module-parameters mod) (terpri) (print-centering "<< parameters >>") (let ((*print-indent* (+ 2 *print-indent*))) (print-module-parameters mod)) (print-next)) ;; ---------- direct submodules (let ((subs (get-non-parameter-submodules mod))) (when subs (terpri) (print-centering "<< submodules >>") (let ((*print-indent* (+ 2 *print-indent*))) (print-submodule-list subs)) (print-next))) ;; ---------- sorts (let ((sorts (if (module-is-hard-wired mod) (module-all-sorts mod) (filter-hard-sorts (module-all-sorts mod))))) (when sorts (terpri) (print-centering "<< sorts and subsort relations >>") (let ((*print-indent* (+ 2 *print-indent*))) (print-module-sorts mod nil t) ) (print-next))) ;; ---------- variables (let ((vars (mapcar #'cdr (module-variables mod))) (rvars nil) (pvars nil)) (dolist (v vars) (if (term-is-variable? v) (push v rvars) (push v pvars))) (when rvars (terpri) (print-centering "<< variables >>") (let ((*print-indent* (+ 4 *print-indent*)) (*print-with-sort* t)) (print-next) (print-obj-list rvars))) (when pvars (terpri) (print-centering "<< psued variables >>") (let ((*print-indent* (+ 4 *print-indent*)) (*print-with-sort* t)) (print-next) (print-obj-list pvars))) (when (or rvars pvars) (print-next))) ;; ---------- operators & axioms (when (module-all-operators mod) (terpri) (print-centering "<< operators and axioms >>") (terpri) (terpri) (print-module-ops mod nil t)) ;; (fresh-line) (values) )) (flush-all)) ;;; DESCRIBE-OPERATOR-BRIEF ;;; * must be executed in the context of `with-in-module'. ;;; (defun describe-operator-brief (opinfo) (let* ((op (opinfo-operator opinfo)) (methods (opinfo-methods opinfo)) (header (with-output-to-string (n) (let ((*standard-output* n)) (princ (operator-symbol op)) ;; (princ (operator-print-name op)) (when (and *on-debug* (not (eq (operator-module op) *current-module*))) (princ ".") (print-mod-name (operator-module op) *standard-output* t t)) ;; attribute (let ((strat (let ((val (operator-strategy op))) (if (print-check-bu op val) nil val))) (thy (operator-theory op))) (when (or strat (not (eq (theory-info thy) the-e-property))) (let ((flag nil)) (princ " default attributes") (princ " { ") (when (not (eq (theory-info thy) the-e-property)) (setq flag t) (print-theory-brief thy)) (print-check) (when strat (if flag (princ " ") (setq flag t)) (princ "strat: ") (print-simple strat)) (print-check) (princ " }"))))) n)) ;; (n-len (length header)) ) (print-next) (print-centering header ".") #|| (format t "~a" header) (if (< n-len (- *print-line-limit* *print-indent*)) (dotimes (x (- *print-line-limit* n-len *print-indent*)) (princ "_")) (princ "*")) ||# ;; declarations with axioms (let ((*print-indent* (+ 2 *print-indent*))) (dolist (meth (reverse methods)) (when (or (not (method-is-error-method meth)) (method-is-user-defined-error-method meth)) (print-next) (princ "* rank: ") (let ((arity (method-arity meth)) (coarity (method-coarity meth))) (when arity (print-sort-list arity *current-module*) (princ " ")) (princ "-> ") (print-sort-name coarity *current-module*) (when (and *on-debug* (not (eq *current-module* (method-module meth)))) (princ " (<== ") (print-mod-name (method-module meth) *standard-output* t t) (princ ")"))) (let ((*print-indent* (+ 2 *print-indent*))) (print-method-attrs meth "- attributes: ")) (let ((axioms (method-all-rules meth))) (let ((*print-indent* (+ 2 *print-indent*))) (when axioms (print-next) (princ "- axioms:") (let ((*print-indent* (+ 2 *print-indent*))) (dolist (rl axioms) (print-next) (print-axiom-brief rl))))))))) (flush-all) )) ;;; DESCRIBE-SORT sort ;;; * must be run in `with-in-module' ;;; (defun describe-sort (sort &optional (module *current-module*)) (if (sort-is-hidden sort) (princ "Hidden sort ") (princ "Sort ")) (print-sort-name sort module) (princ " declared in the module ") (print-mod-name (sort-module sort)) (let ((subs (subsorts sort)) (supers (supersorts-no-err sort)) (*print-indent* (+ 2 *print-indent*))) (when (or subs supers) (print-next) (princ "- subsort relations :") (print-next) (print-sort-graph sort)) (when (sort-is-builtin sort) (print-next) (princ "- builtin infos : ") (princ (bsort-info sort))) (when (sort-derived-from sort) (print-next) (princ "- derived from : ") (print-sort-name (sort-derived-from sort) module)) #|| (when (the-err-sort sort (module-sort-order module)) (print-next) (princ "- error sort : ") (print-sort-name (the-err-sort sort (module-sort-order module)))) ||# (flush-all) )) ;;; DESCRIBE-OPERATOR ;;; (defun describe-operator (opinfo &optional (module *current-module*)) (with-in-module (module) (let* ((op (opinfo-operator opinfo)) (syntax (operator-syntax op)) (prec (opsyntax-prec syntax)) (cprec (opsyntax-cprec syntax)) (theory (operator-theory op)) (assoc (opsyntax-assoc syntax)) (strat (operator-strategy op)) (methods (opinfo-methods opinfo))) (fresh-line) (dotimes (x .terminal-width.) (princ "=")) ;; (format t "~%name : ~a" (operator-symbol op)) (format t "~%name : ~a" (operator-print-name op)) (format t "~%module : ") (print-chaos-object (operator-module op)) (format t "~%number of arguments : ~d" (operator-num-args op)) (format t "~%default attributes :") (format t "~% rewrite strategy : ~a" (if strat strat "not specified")) (format t "~% syntax :") (when *on-debug* (format t "~% type : ~s" (opsyntax-type syntax)) (format t "~% mixfix : ~s" (operator-is-mixfix op))) (format t "~% precedence : ~a" (if prec prec "not specified")) (unless (eql prec cprec) (format t "~% computed prec. : ~s" cprec)) (if assoc (format t "~% assoc : ~s" (if (eq assoc :right) 'right 'left))) (format t "~% form : ") (let ((m (car methods))) (dolist (x (method-form m)) (cond ((and (consp x) (eq (car x) 'argument)) (princ "(") (princ "arg:") (princ (second x)) ;; (print-sort-name (cddr x)) (princ ")")) ((and (consp x) (eq (car x) 'token)) (prin1 (string (cdr x)))) (t (princ x))) (princ " "))) (format t "~% theory : ") (print-theory-brief theory) (when *on-debug* (format t "~%internal name : ~s" (operator-print-name op))) (let ((*print-indent* (+ *print-indent* 2))) (dolist (m methods) (terpri) (dotimes (x .terminal-width.)(princ "-")) (format t "~%rank : ") (when (method-arity m) (print-sort-list (method-arity m) *current-module*) (princ " ")) (princ "-> ") (print-sort-name (method-coarity m) *current-module*) (when (or (method-constructor m) (method-has-memo m)) (princ " { ") (when (method-constructor m) (princ "constr ")) (when (method-has-memo m) (princ "memo ")) (when (method-is-meta-demod m) (princ "demod ")) (princ "}")) (print-next) (format t "module : ") (print-mod-name (method-module m)) (print-next) (format t "theory : ") (print-theory-brief (method-theory m)) (print-next) (format t "rewrite strategy : ~s" (method-rewrite-strategy m)) (when (not (eql prec (get-method-precedence m))) (print-next) (format t "precedence : ~d" (get-method-precedence m)) ) (when (not (equal assoc (method-associativity m))) (print-next) (format t "associativity : ~a" (case (method-associativity m) (:right "right") (:left "left") (otherwise "not specified"))) ) ;; lower methods (when (method-lower-methods m) (print-next) ;; (format t "lower declarations:") (format t "lower operations :") (let ((*print-indent* (+ 2 *print-indent*))) (dolist (x (reverse (method-lower-methods m))) (print-next) (when (method-arity x) (print-sort-list (method-arity x) *current-module*) (princ " ")) (princ "-> ") (print-sort-name (method-coarity x) *current-module*)))) (when *on-debug* ;; overloaded methods (let ((ov (nreverse (remove m (method-overloaded-methods m))))) (when ov (print-next) (format t "overloaded ops. :") (let ((*print-indent* (+ 2 *print-indent*))) (dolist (x ov) (print-next) (when (method-arity x) (print-sort-list (method-arity x) *current-module*) (princ " ")) (princ "-> ") (print-sort-name (method-coarity x) *current-module*)))))) ;; (when (method-derived-from m) (let ((o-m (method-derived-from m))) (print-next) (format t "derived from : ~s of " (method-symbol o-m)) (print-mod-name (method-module o-m) *standard-output* t t))) ;; axioms (print-next) (format t "axioms :") (let ((*print-indent* *print-indent*) (r-ring (method-rules-with-same-top m))) (unless (rule-ring-is-empty r-ring) (do ((ax (initialize-rule-ring r-ring) (rule-ring-next r-ring))) ((eq (rule-ring-current r-ring) (rule-ring-mark r-ring))) (print-next) (print-rule ax) )) (dolist (ax (method-rules-with-different-top m)) (print-next) (print-rule ax) )) )))) (flush-all)) (defun print-merged (mod) (and *open-module* (equal "%" (module-name mod)))) ;;; SHOW-MODULE ;;;----------------------------------------------------------------------------- (defun show-module (mod &optional (syntax *show-mode*)) (when (module-is-inconsistent mod) (with-output-chaos-warning () (format t "module is inconsistent and cannot be shown, please redefine it!") (return-from show-module nil))) (compile-module mod) (case syntax (:cafeobj (show-module-in-cafeobj-syntax mod)) (:chaos (show-module-in-chaos-syntax mod)) (otherwise (with-output-panic-message () (format t "illegal show mode ~s" syntax)) (return-from show-module nil)))) (defun ignore-from-import-list (mod) (or (module-hidden mod) (module-is-parameter-theory mod))) (defun show-module-in-cafeobj-syntax (mod) (with-in-module (mod) (let* ((merged (print-merged mod)) (mod-name (with-output-to-string (m) (if merged (print-mod-name *open-module* m nil t) (print-mod-name mod m nil t)) m)) (kind (module-kind mod)) (type (module-type mod)) (omit (if (or (memq type '(:system :hard)) (and merged (module-p *open-module*) (memq (module-type *open-module*) '(:system :hard)))) *kernel-hard-wired-builtin-modules* *print-ignore-mods*)) (*print-line-limit* 80)) ;; (fresh-line) (print-indent #\space) (case kind (:object (case type (:hard (princ "hwd:mod! ")) (:system (princ "sys:mod! ")) (otherwise (princ "module! ")))) (:theory (case type (:hard (princ "hwd:mod* ")) (:system (princ "sys:mod* ")) (otherwise (princ "module* ")))) (otherwise (case type (:hard (princ "hwd:mod ")) (:system (princ "sys:mod ")) (otherwise (princ "module "))))) (princ mod-name) ;; PARAMETERS (let ((params (get-module-parameters mod))) (when params (let ((*print-indent* (+ (length mod-name) 9 *print-indent*))) ;; (princ " [") (princ " (") (let ((flg nil)) (dolist (sb params) (if flg (princ ", ") (setf flg t)) (print-check) (let ((mode (string-downcase (string (parameter-imported-mode sb)))) (arg-name (parameter-arg-name sb)) (cntxt (parameter-context sb))) (unless (equal "protecting" mode) (format t "~a " mode)) (if (or (null cntxt) (eq mod cntxt)) (format t "~a :: " arg-name) (progn (format t "~a." arg-name) (print-mod-name cntxt *standard-output* t t) (princ " :: "))) ;; (print-mod-name (cdar sb)) (print-parameter-theory-name (parameter-theory-module sb) *standard-output* :simple :no-param) ))) ;; (princ "]") (princ ")")))) ;; principal sort (when (module-principal-sort mod) (fresh-line) (format t " principal-sort ") (print-sort-name (module-principal-sort mod) mod)) (fresh-line) ;; module body (princ "{") (when merged (princ " ** opening")) (let ((*print-indent* (+ *print-indent* 2))) ;; IMPORTING MODULES (let ((subs nil) (skip (if merged (nconc (list *open-module*) omit) omit))) (dolist (sub (module-submodules mod)) (when (and (not (module-is-parameter-theory (car sub))) (if *chaos-verbose* t (not (member (car sub) skip :key #'(lambda(x) (module-name x))))) (not (eq (cdr sub) :using))) (push sub subs))) (when subs (print-next) (princ "imports {") (let ((*print-indent* (+ *print-indent* 2))) (let ((flg nil)) (print-next) (dolist (sb subs) (unless (ignore-from-import-list (car sb)) (if flg (print-next) (setf flg t)) (print-check) ;; importation-mode (format t "~a " (string-downcase (string (cdr sb)))) ;; alias (let ((a-name (cdr (assoc (car sb) (module-alias mod))))) (when a-name (format t "as ~a " a-name))) ;; modexpr (let ((*print-indent* (+ 4 *print-indent* (length (string (cdr sb)))))) (princ "(") (print-mod-name (car sb) *standard-output* t t) (princ ")")))))) (print-next) (princ "}"))) ;; SIGNATURE (let ((sorts (sorts-to-be-shown mod *chaos-verbose*)) (opinfos (ops-to-be-shown mod *chaos-verbose*))) (when (or sorts opinfos) (print-next) (princ "signature {") (let ((*print-indent* (+ 2 *print-indent*))) ;; SORTS (when sorts (let ((hidden (remove-if-not #'(lambda (x) (sort-is-hidden x)) sorts)) (visible (remove-if #'(lambda (x) (sort-is-hidden x)) sorts))) (when hidden (print-next) ;; (princ "hidden [ ") (princ "*[ ") (let ((*print-indent* (+ 8 *print-indent*))) ;; (print-out-sorts hidden mod 'print-sort-name) (do ((ss hidden (cdr ss))) ((null ss)) (print-out-sort (car ss) mod 'print-sort-name) (when (cdr ss) (princ ",") (print-next))) (princ " ]*"))) (when visible (print-next) (let ((*print-indent* (+ 2 *print-indent*))) (princ "[ ") (do ((ss visible (cdr ss))) ((null ss)) (print-out-sort (car ss) mod 'print-sort-name) (when (cdr ss) (princ ",") (print-next))) (princ " ]"))))) ;; (when opinfos (dolist (op-meth opinfos) (print-op-meth op-meth mod *chaos-verbose*)))) (print-next) (princ "}"))) ;; AXIOMS (when (or *chaos-verbose* *print-all-eqns* (module-equations mod) (module-rules mod)) (print-next) (princ "axioms {") (let ((*print-indent* (+ 2 *print-indent*))) (when (module-variables mod) (dolist (v (reverse (module-variables mod))) (print-next) (if (term-is-variable? (cdr v)) (princ "var ") (princ "pvar ")) (princ (string (variable-name (cdr v)))) (princ " : ") (print-sort-name (variable-sort (cdr v)) mod))) (if (module-is-ready-for-rewriting mod) (if (not (or *chaos-verbose* *print-all-eqns*)) (dolist (r (append (reverse (module-equations mod)) (reverse (module-rules mod)))) (print-next) (print-axiom-brief r) (princ " .") #|| (dolist (er (!axiom-A-extensions r)) (when er (print-next) (print-axiom-brief er) (princ " ."))) (dolist (er (!axiom-AC-extension r)) (when er (print-next) (print-axiom-brief er) (princ " ."))) ||# (dolist (er (axiom-extensions r)) (when er (print-next) (print-axiom-brief er) (princ " ."))) ) ;; (dolist (r (get-module-axioms mod t)) (print-next) (print-axiom-brief r) (princ " .") #|| (dolist (er (!axiom-A-extensions r)) (when er (print-next) (print-axiom-brief er) (princ " ."))) (dolist (er (!axiom-AC-extension r)) (when er (print-next) (print-axiom-brief er) (princ " ."))) ||# (dolist (er (axiom-extensions r)) (when er (print-next) (print-axiom-brief er) (princ " ."))) )))) (print-next) (princ "}")) ;; done ) (print-next) (princ "}") (fresh-line) (flush-all) (values)))) (defun show-module-in-chaos-syntax (mod) (with-in-module (mod) (let ((*print-pretty* t)) (format t "~%~s" (object-decl-form mod))))) ;;; PRINT-MODULE-SORTS ;;;----------------------------------------------------------------------------- (defun sorts-to-be-shown (mod &optional all) (let ((sorts (if all (module-all-sorts mod) (module-sorts mod)))) (if (or (module-is-hard-wired mod) (module-is-system-module mod)) sorts (filter-hard-sorts sorts)))) (defun print-module-sorts (mod &optional describe all) (with-in-module (mod) (let ((sorts (reverse (sorts-to-be-shown mod all)))) (cond ((not describe) (when (module-principal-sort mod) (print-next) (princ "* principal sort : ") (print-out-sorts (list (module-principal-sort mod)) mod 'print-sort-name)) (let ((hidden (remove-if-not #'(lambda (x) (sort-is-hidden x)) sorts)) (visible (remove-if #'(lambda (x) (sort-is-hidden x)) sorts))) (when hidden (print-next) (princ "* hidden sorts :") (let ((*print-indent* (+ *print-indent* 2))) (print-next) (print-out-sorts hidden mod 'print-sort-name))) (when visible (print-next) (princ "* visible sorts :") (let ((*print-indent* (+ *print-indent* 2))) (print-next) (print-out-sorts visible mod 'print-sort-name))))) ;; (t ; describe (dolist (s sorts) (print-next) (princ "----------------------------------------------------------------------") (print-next) (describe-sort s))))) (flush-all))) (defun print-out-sorts (sort-list mod &optional (printer 'print-sort-name)) (do ((ss sort-list (cdr ss))) ((null ss)) (print-out-sort (car ss) mod printer) (when (cdr ss) (print-next)))) (defun print-out-sort (s mod printer) (let ((subs (direct-subsorts s)) (sups (direct-supersorts-no-err s))) (funcall printer s mod) (when (or subs sups) (let ((*print-indent* (+ 2 *print-indent*))) (princ ", ") (dolist (sub subs) (funcall printer sub mod) (princ " ")) (when subs (princ "< ")) (funcall printer s mod) (when sups (princ " <") (dolist (super sups) (princ " ") (funcall printer super mod))))) )) ;;; PRINT-MODULE-OPS ;;;----------------------------------------------------------------------------- (defun module-own-op-methods (mod) (let ((res nil)) (with-in-module (mod) (dolist (opinfo (reverse (module-all-operators mod))) (let ((meth nil)) (dolist (m (opinfo-methods opinfo)) (when (and (eq (method-module m) mod) (or (not (method-is-error-method m)) (method-is-user-defined-error-method m))) (push m meth))) (when meth (push (list (opinfo-operator opinfo) meth) res)))) (nreverse res)))) (defun ops-to-be-shown (mod &optional all) (let ((ops (if all (reverse (module-all-operators mod)) (module-own-op-methods mod)))) (if (module-is-hard-wired mod) ops (filter-hard-opinfos ops)))) (defun print-module-ops (mod &optional describe all) (with-in-module (mod) (let ((ops (ops-to-be-shown mod all))) (dolist (opinfo ops) (if describe (describe-operator opinfo) (progn (print-next) (describe-operator-brief opinfo))))))) ;;; PRINT-MODULE-EQS ;;;----------------------------------------------------------------------------- (defun print-module-eqs (mod &optional describe) (with-in-module (mod) (when (module-equations mod) (princ "equations : ") (let ((*print-indent* (+ 2 *print-indent*))) (dolist (r (module-equations mod)) (print-next) (if describe (print-rule r) (print-axiom-brief r))))))) ;;; PRINT-MODULE-RLS ;;;----------------------------------------------------------------------------- (defun print-module-rls (mod &optional describe) (with-in-module (mod) (when (module-rules mod) (princ "rules : ") (let ((*print-indent* (+ 2 *print-indent*))) (dolist (r (module-rules mod)) (if describe (print-rule r) (print-axiom-brief r))))))) ;;; PRINT-MODULE-AXS ;;;----------------------------------------------------------------------------- (defun print-module-axs (mod &optional describe) (with-in-module (mod) (let ((own-axs (module-own-axioms-ordered mod nil)) (imp-axs (if (or *print-all-eqns* *module-all-rules-every*) (module-imported-axioms mod nil) nil)) (flg1 nil) (flg2 nil) (*print-indent* (+ 2 *print-indent*))) (dolist (ax own-axs) (if (and (null flg1) (memq (axiom-type ax) '(:equation :pignose-axiom :pignose-goal))) (progn (decf *print-indent* 2) (format t "~%- Equations") (incf *print-indent* 2) (setq flg1 t)) (if (and (null flg2) (eq (axiom-type ax) :rule)) (progn (decf *print-indent* 2) (format t "~%- Transitions") (incf *print-indent* 2) (setq flg2 t)))) (print-next) (if describe (print-rule ax) (print-axiom-brief ax))) (when imp-axs (decf *print-indent* 2) (format t "~%- Imported axioms") (incf *print-indent* 2) (dolist (ax imp-axs) (print-next) (if describe (print-rule ax) (print-axiom-brief ax))))))) ;;; PRINT-MODULE-RULES ;;;----------------------------------------------------------------------------- (defun print-module-rules (mod &optional describe) (with-in-module (mod) (dolist (r (module-rewrite-rules mod)) (print-next) (if describe (print-rule r) (print-axiom-brief r))))) ;;; PRINT-MODULE-SUBMODUES ;;;----------------------------------------------------------------------------- (defun get-non-parameter-submodules (mod) (with-in-module (mod) (let ((skip (mapcar #'cdar (module-parameters mod))) (res nil)) (if (print-merged mod) (push *open-module* skip)) (dolist (sb (module-submodules mod)) (unless (member (car sb) skip) (push sb res))) res))) (defun print-submodule-list (subs &optional describe) (declare (ignore describe)) (dolist (sb subs) (print-next) (format t "~a (" (string-downcase (string (cdr sb)))) (let ((*print-indent* (+ 2 *print-indent*))) (print-mod-name (car sb) *standard-output* t t)) (princ ")"))) (defun print-module-submodules (mod &optional describe) (declare (ignore describe)) (dolist (sb (get-non-parameter-submodules mod)) (print-next) (if (eq :using (cdr sb)) (format t "-- ~a(" (string-downcase (string (cdr sb)))) (format t "~a(" (string-downcase (string (cdr sb))))) (let ((*print-indent* (+ 2 *print-indent*))) (print-mod-name (car sb) *standard-output* nil t)) (princ ")"))) ;;; PRINT-MODULE-PARAMETERS ;;;----------------------------------------------------------------------------- (defun print-module-parameters (mod &optional (stream *standard-output*) (abbrev t)) (declare (ignore abbrev)) (with-in-module (mod) (let ((params (get-module-parameters mod))) (if params (progn (print-next) (let ((flag nil)) (dolist (x params) (let ((arg-name (parameter-arg-name x)) (cntxt (parameter-context x))) (if flag (print-next) (setq flag t)) (if (or (null cntxt) (eq mod cntxt)) (format t "* argument ~a : " arg-name) (progn (format t "* argument ~a." arg-name) (print-mod-name cntxt stream t t) (princ " : "))) (princ (string-downcase (string (parameter-imported-mode x)))) (princ " ") (force-output) (print-parameter-theory-name (parameter-theory-module x) stream nil :no-param))))) (princ "NONE."))) (print-next))) ;;; PRINT-MODULE-SORT ;;;----------------------------------------------------------------------------- (defun print-module-sort (mod srt &optional describe) (with-in-module (mod) (if describe (describe-sort srt) (print-sort-name srt mod)))) ;;; PRINT-MODULE-VARIABLES ;;;----------------------------------------------------------------------------- (defun print-module-variables (mod &optional describe) (declare (ignore describe)) (with-in-module (mod) (when (module-variables mod) (dolist (v (mapcar #'cdr (reverse (module-variables mod)))) (if (term-is-variable? v) (princ "var ") (princ "pvar ")) (princ (string (variable-name v))) (princ " : ") (print-sort-name (variable-sort v) mod) (print-next))))) ;;; EOF cafeobj-1.5.4/chaos/tools/help.lisp0000644000000000000000000000565012605345045015700 0ustar rootroot;;;-*- Mode:LISP; Package:CHAOS; Base:10; Syntax:Common-lisp -*- ;;; ;;; Copyright (c) 2000-2015, Toshimi Sawada. All rights reserved. ;;; ;;; Redistribution and use in source and binary forms, with or without ;;; modification, are permitted provided that the following conditions ;;; are met: ;;; ;;; * Redistributions of source code must retain the above copyright ;;; notice, this list of conditions and the following disclaimer. ;;; ;;; * Redistributions in binary form must reproduce the above ;;; copyright notice, this list of conditions and the following ;;; disclaimer in the documentation and/or other materials ;;; provided with the distribution. ;;; ;;; THIS SOFTWARE IS PROVIDED BY THE AUTHOR 'AS IS' AND ANY EXPRESSED ;;; OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED ;;; WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ;;; ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY ;;; DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL ;;; DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE ;;; GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS ;;; INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, ;;; WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING ;;; NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS ;;; SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. ;;; (in-package :chaos) #|============================================================================== System: CHAOS Module: chaos/tools File: help.lisp ==============================================================================|# #-:chaos-debug (declaim (optimize (speed 3) (safety 0) #-GCL (debug 0))) #+:chaos-debug (declaim (optimize (speed 1) (safety 3) #-GCL (debug 3))) ;;; ;;; CafeOBJ interpreter On-Line HELP SYSTEM ;;; (defvar *Help-DB* (make-hash-table :test #'equal)) (defun get-description (com-pat &optional (detail nil)) (let* ((sdesc (gethash com-pat *Help-DB*)) (syntax (first sdesc))) (if sdesc (concatenate 'string "~%[Syntax]: \"" syntax "\"~% " (if detail (third sdesc) (second sdesc))) nil))) (defun read-help-db (path) (clrhash *Help-DB*) (with-open-file (strm path :if-does-not-exist :error) (loop for entry = (read strm nil :eof) while (not (eq entry :eof)) do (let ((keypat (first entry)) (syntax (second entry)) (simple (third entry)) (detail (fourth entry))) (setf (gethash keypat *Help-DB*) (list syntax simple detail)))))) #|| not used (defun setup-help-db () (let ((fname (chaos-probe-file "help" *chaos-libpath* '(".desc")))) (unless fname (error "Internal error, can't find help.desc")) (read-help-db fname))) ||# ;;; EOF cafeobj-1.5.4/chaos/tools/inspect.lisp0000644000000000000000000002233612605345045016415 0ustar rootroot;;;-*-Mode:LISP; Package: CHAOS; Base:10; Syntax:Common-lisp -*- ;;; ;;; Copyright (c) 2000-2015, Toshimi Sawada. All rights reserved. ;;; ;;; Redistribution and use in source and binary forms, with or without ;;; modification, are permitted provided that the following conditions ;;; are met: ;;; ;;; * Redistributions of source code must retain the above copyright ;;; notice, this list of conditions and the following disclaimer. ;;; ;;; * Redistributions in binary form must reproduce the above ;;; copyright notice, this list of conditions and the following ;;; disclaimer in the documentation and/or other materials ;;; provided with the distribution. ;;; ;;; THIS SOFTWARE IS PROVIDED BY THE AUTHOR 'AS IS' AND ANY EXPRESSED ;;; OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED ;;; WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ;;; ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY ;;; DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL ;;; DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE ;;; GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS ;;; INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, ;;; WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING ;;; NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS ;;; SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. ;;; (in-package :chaos) #|============================================================================= System:CHAOS Module:tools File:inspect.lisp =============================================================================|# #-:chaos-debug (declaim (optimize (speed 3) (safety 0) #-GCL (debug 0))) #+:chaos-debug (declaim (optimize (speed 1) (safety 3) #-GCL (debug 3))) ;;; ;;; INSPECT ;;; (defun show-module-symbol-table (mod &optional (stream *standard-output*)) (let* ((st (module-symbol-table mod)) (names (sort (copy-list (symbol-table-names st)) #'ob< ))) (dolist (name names) (describe-name mod name (symbol-table-get name mod) stream)))) (defvar .current-char-index. nil) (defun describe-name (mod name tbl &optional (stream *standard-output*)) (unless tbl (format stream "~%No object with name ~A found." name) (return-from describe-name nil)) (let ((*print-indent* 2) (print-name (if (symbolp name) (string name) name))) (when (and (stringp print-name) (not (eql .current-char-index. (char print-name 0)))) (setq .current-char-index. (char print-name 0)) (format stream "~%** [~a] -----------------------------------------" (string-upcase .current-char-index.))) (format stream "~%~A~10T" (if (symbolp name) (string name) name)) (let ((parameters (stable-parameters tbl)) (submodules (stable-submodules tbl)) (sorts (stable-sorts tbl)) (operators (stable-operators tbl)) (variables (stable-variables tbl)) (axioms (stable-axioms tbl)) (unknowns (stable-unknowns tbl))) (when parameters (inspect-show-parameters mod name parameters stream)) (when submodules (inspect-show-submodules mod name submodules stream)) (when sorts (inspect-show-sorts mod name sorts stream)) (when operators (inspect-show-operators mod name operators stream)) (when variables (inspect-show-variables mod name variables stream)) (when axioms (inspect-show-axioms mod name axioms stream)) (when unknowns (inspect-show-unknowns mod name unknowns stream))))) ;;; ;;; ;;; (defun inspect-show-parameters (mod name objs stream) (declare (ignore mod)) (dolist (obj objs) (let ((context-name (get-context-name-extended obj))) (print-next) (format stream "- parameter theory ~A(type ~S)" name (type-of name)) (when context-name (format stream ", declared in ~A" context-name))))) (defun inspect-show-submodules (mod name objs stream) (dolist (obj objs) (let ((context-name (get-context-name-extended obj)) (alias (if (symbolp name) (rassoc (string name) (module-alias mod) :test #'equal) nil))) (print-next) (cond ((assoc obj (module-submodules mod)) (format stream "- direct sub-module") (when alias (format stream ", alias of module ") (print-modexp (module-name (car alias)) stream t))) ((module-is-parameter-theory obj) (format stream "- parameter theory")) (t (format stream "- indirect sub-module") (when alias (format stream ", alias of module ") (print-modexp (module-name (car alias)) stream t)))) (when context-name (format stream ", declared in ~A" context-name)) (let ((alias (assoc name (module-alias mod)))) (when alias (format stream ", renamed (original name = ~a)." (with-output-to-string (str) (print-mod-name obj str t)))))))) (defun get-context-name-for-qualify (obj) (let ((cmod (object-context-mod obj))) (unless cmod (with-output-chaos-error ('no-context) (format t "Internal error : no context found for object ~s" obj))) (let ((qname (get-module-print-name cmod))) (unless (module-is-parameter-theory cmod) (return-from get-context-name-for-qualify qname)) (car qname)))) (defun inspect-show-sorts (mod name objs stream) (dolist (obj objs) (print-next) (let ((context-name (get-context-name-extended obj)) (ambig (cdr objs))) (if (sort-is-hidden obj) (format stream "- hidden sort declared in ~a" context-name) (format stream "- sort declared in ~a" context-name)) (when ambig (let ((qname (get-context-name-for-qualify obj))) ;; must be qualified (cond ((modexp-is-simple-name qname) (print-next) (format stream " the name must be qualified for disambiguation: ~A.~A" (string name) qname)) (t (let ((a-name (rassoc (object-context-mod obj) (module-alias mod)))) (cond (a-name (print-next) (format stream " the name must be qualified for disambiguation: ~A.~A" (string name) (car a-name))) (t (print-next) (format stream " the name must be qualified for disambiguation,") (print-next) (format stream " but the module name is not simple one:") (print-mod-name (object-context-mod obj) stream))))))))))) (defun inspect-show-operators (mod name objs stream) (declare (ignore name)) (dolist (obj objs) (print-next) (format stream "- operator:") (let ((*print-indent* (+ *print-indent* 2))) (print-op-brief obj mod t t t)))) (defun inspect-show-axioms (mod name objs stream) (declare (ignore name mod)) (dolist (obj objs) (print-next) (let ((context-name (get-context-name-extended obj))) (format stream "- axiom declared in ~a" context-name) (let ((*print-indent* (+ *print-indent* 2))) (print-next) (print-axiom-brief obj stream))))) (defun inspect-show-variables (mod name objs stream) (declare (ignore name)) (dolist (obj objs) (print-next) (format stream "- variable of sort ~a" (with-output-to-string (str) (print-sort-name (variable-sort obj) mod str))))) (defun inspect-show-unknowns (mod name objs stream) (declare (ignore mod name)) (dolist (obj objs) (print-next) (format stream "- unknown object ~s" obj))) (defun inspect-internal-error (mod name obj stream) (declare (ignore mod name stream)) (with-output-chaos-error ('internal-error) (format t "inspect: internal error, ~s" obj))) (defun !inspect-module (mod) (let ((.current-char-index. nil)) (declare (special .current-char-index.)) (with-in-module (mod) (show-module-symbol-table mod)))) ;;; ******* ;;; LOOK-UP ;;; ******* (defun inspect-canon-name (name) (if (stringp name) (let ((sname (parse-with-delimiter2 name #\_))) (if (stringp sname) sname (remove "" sname :test #'equal))) (mapcan #'inspect-canon-name (remove ")" (remove "(" name :test #'equal) :test #'equal)))) (defun !look-up (name module) (declare (ignore ignore)) (unless (module-p module) (with-output-chaos-error ('ivalid-module) (format t "~%internal error, look up processor is given illegal module object."))) (with-in-module (module) (let ((nm (inspect-canon-name name))) (describe-name module (canonicalize-object-name nm) (symbol-table-get nm module) *standard-output*)))) ;;; EOF cafeobj-1.5.4/chaos/tools/module-tree.lisp0000644000000000000000000002772712605345045017203 0ustar rootroot;;;-*- Mode:LISP; Package:CHAOS; Base:10; Syntax:Common-lisp -*- ;;; ;;; Copyright (c) 2000-2015, Toshimi Sawada. All rights reserved. ;;; ;;; Redistribution and use in source and binary forms, with or without ;;; modification, are permitted provided that the following conditions ;;; are met: ;;; ;;; * Redistributions of source code must retain the above copyright ;;; notice, this list of conditions and the following disclaimer. ;;; ;;; * Redistributions in binary form must reproduce the above ;;; copyright notice, this list of conditions and the following ;;; disclaimer in the documentation and/or other materials ;;; provided with the distribution. ;;; ;;; THIS SOFTWARE IS PROVIDED BY THE AUTHOR 'AS IS' AND ANY EXPRESSED ;;; OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED ;;; WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ;;; ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY ;;; DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL ;;; DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE ;;; GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS ;;; INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, ;;; WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING ;;; NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS ;;; SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. ;;; (in-package :chaos) #|============================================================================== System: CHAOS Module: tools File: module-tree.lisp ==============================================================================|# #-:chaos-debug (declaim (optimize (speed 3) (safety 0) #-GCL (debug 0))) #+:chaos-debug (declaim (optimize (speed 1) (safety 3) #-GCL (debug 3))) ;;; MODULE HIERARCHY TREE (defun make-submodule-tree (mod) (mapcar #'(lambda (x) (cons x (make-submodule-tree (car x)))) (module-direct-submodules mod))) (defun make-module-tree (mod) (cons (list mod) (make-submodule-tree mod))) (defun print-module-tree (mod &optional (stream *standard-output*)) (!print-module-tree mod stream nil)) (defun print-module-graph (mod &optional (stream *standard-output*)) (when (module-is-inconsistent mod) (with-output-chaos-warning () (princ "specified module is inconsistent and cannot be shown.") (print-next) (princ "please redefine it!") (return-from print-module-graph nil))) (!print-module-tree mod stream t)) (defun !print-module-tree (mod stream show-as-graph) (let* ((leaf? #'(lambda (tree) (null (dag-node-subnodes tree)))) (leaf-name #'(lambda (tree) (with-output-to-string (str) (let ((datum (dag-node-datum tree))) (case (cdr datum) (:protecting (princ "pr(" str)) (:extending (princ "ex(" str)) (:using (princ "us(" str)) (:including (princ "inc(" str)) (:modmorph (princ "!(" str))) (print-mod-name-x (car datum) str t nil) (when (cdr datum) (princ ")" str))) str))) (leaf-info #'(lambda (tree) (declare (ignore tree)) t)) (int-node-name #'(lambda (tree) (funcall leaf-name tree))) (int-node-children #'(lambda (tree) (let ((subs nil)) (dolist (sub-node (dag-node-subnodes tree)) (let ((datum (dag-node-datum sub-node))) (when (and (module-p (car datum)) (not (module-is-parameter-theory (car datum))) (not (memq (car datum) *kernel-hard-wired-builtin-modules*)) (not (memq (cdr datum) '(:view :modmorph)))) (push sub-node subs)))) subs)))) ;; #'(lambda (tree) (dag-node-subnodes tree)) (force-output stream) (print-next nil *print-indent* stream) (print-trees (list (if show-as-graph (augment-tree-as-graph (module-dag mod)) (augment-tree (module-dag mod)))) stream))) ;;; MODULE EXPRESSION TREE (defun get-modexp-children (modexp) (cond ((chaos-ast? modexp) (case (ast-type modexp) ((%ren-sort %ren-op %ren-var %ren-param %+) (remove nil (third modexp))) (%rmap nil) (%! (remove nil `(,(%instantiation-module modexp) ,@(%instantiation-args modexp)))) ((%view %view-from) (remove-if #'(lambda (x) (or (eq x 'none) (null x))) (cdr modexp))) (otherwise (remove nil (cdr modexp))))) (t nil))) (defun print-modexp-tree (modexp &optional (stream *standard-output*)) (let* ((leaf? #'(lambda (tree) (or (%is-rmap tree) (not (chaos-ast? tree))))) (leaf-name #'(lambda (tree) (cond ((chaos-ast? tree) (case (ast-type tree) (%! "_[_]") (%!arg "_<=_") (%* "_*_") (%+ "_+_") ((%view %view-from) "view_") (%rmap "{_}") (%ren-sort "sort_->_") (%ren-op "op_->_") (%ren-param "param_->_") (otherwise "??"))) ((and (consp tree) (eq (car tree) ':?name)) (cdr tree)) ((and (consp tree) (null (cdr tree))) (car tree)) (t tree)))) (leaf-info #'(lambda (tree) (declare (ignore tree)) t)) (int-node-name #'(lambda (tree) (funcall leaf-name tree))) (int-node-children #'get-modexp-children)) (force-output stream) (print-next nil *print-indent* stream) (print-trees (list (augment-tree modexp)) stream))) ;;; ;;; (defun print-subs-list (module) (dag-dfs (module-dag module) #'(lambda (node) (let* ((datum (dag-node-datum node)) (mode (cdr datum)) (mod (car datum))) (format t "~%* mode :~a" mode) (print-next) (princ " module : ") (print-chaos-object mod))))) (defun print-mod-name-x (arg &optional (stream *standard-output*) (abbrev nil) (no-param nil)) (let ((*standard-output* stream)) (if (module-p arg) (let ((modname (get-module-print-name arg))) (if (is-dummy-module arg) (let ((info (getf (module-infos arg) 'rename-mod))) (print-mod-name-x (car info) stream abbrev no-param) (princ "*DUMMY")) (with-in-module (arg) (print-mod-name-internal-x modname abbrev t))) (let ((params (get-module-parameters arg))) (when (and params (not no-param)) (let ((flg nil)) (princ "[") ;; (princ "(") (dolist (param params) (let ((theory (parameter-theory-module param))) (if flg (princ ", ")) (if (or (null (parameter-context param)) (eq arg (parameter-context param))) (princ (parameter-arg-name param)) (if (not (eq (parameter-context param) arg)) (progn (format t "~a." (parameter-arg-name param)) (print-mod-name-x (parameter-context param) stream abbrev t)) (format t "~a" (parameter-arg-name param)))) ;; patch-begin (princ "::") (print-parameter-theory-name theory stream :abbrev :no-param) (setq flg t))) (princ "]") ;; (princ ")") )))) (print-chaos-object arg)))) (defun print-mod-name-internal-x (val abbrev &optional (no-param nil)) (declare (values t)) (if (stringp val) (princ val) (if (and (consp val) (not (chaos-ast? val))) (if (equal "::" (cadr val)) ;; parameter theory (if abbrev (progn (format t "~a" (car val)) (princ ".") (print-mod-name-x (car (last val)) *standard-output* abbrev no-param)) (let ((cntxt (fourth val))) (if (and cntxt (not (eq *current-module* cntxt))) (progn (format t "~a." (car val)) (print-mod-name-x cntxt *standard-output* t t) (princ "::")) (format t "~a::" (car val))) (print-mod-name-x (caddr val) *standard-output* abbrev t))) (print-chaos-object val)) (print-modexp val *standard-output* abbrev no-param)))) (defvar .mod-dup-hash. (make-hash-table :test #'eq)) (defun describe-module-tree (dag-node &optional (stream *standard-output*)) (clrhash .mod-dup-hash.) (d-module-tree* dag-node stream nil)) (defun describe-module-graph (dag-node &optional (stream *standard-output*)) (clrhash .mod-dup-hash.) (d-module-tree* dag-node stream nil)) (defun pr-imp-mode (mode stream) (case mode (:protecting (princ "pr" stream)) (:extending (princ "ex" stream)) (:using (princ "us" stream)) (:including (princ "inc" stream)) (:modmorph (princ "!" stream)) (otherwise (princ "??" stream)))) (defun mod-name-is-parameter (name) (and (consp name) (not (chaos-ast? name)) (equal "::" (second name)))) (defun d-module-tree* (dag-node stream p-label &optional my-num) (let* ((mod+imp (dag-node-datum dag-node)) (mod (car mod+imp)) (imp (cdr mod+imp)) (*print-line-limit* 100) (*print-xmode* :fancy) (num (if (and p-label my-num) (format nil "~a-~d" p-label my-num) (if my-num (format nil "~a" my-num) nil))) (dup? (gethash mod .mod-dup-hash.))) (when num (format stream "~a: " num) (when imp (pr-imp-mode imp stream))) (unless dup? (setf (gethash mod .mod-dup-hash.) num)) (let ((*print-indent* (+ 0 *print-indent*))) (when num (princ "(" stream)) (print-mod-name mod *standard-output* t t) (when num (princ ")" stream)) (if dup? (princ "*" stream) (with-in-module (mod) (let ((subnodes (dag-node-subnodes dag-node))) (when subnodes (let ((y-num 1)) (dolist (sub subnodes) (let ((subm (car (dag-node-datum sub))) (sub-imp (cdr (dag-node-datum sub)))) (when (or *chaos-verbose* (and (not (module-hidden subm)) (not (module-is-parameter-theory subm)) (not (eq sub-imp :modmorph)))) (print-next-prefix #\Space) (d-module-tree* sub stream num y-num) (incf y-num)))))))))))) ;;; EOF cafeobj-1.5.4/chaos/tools/op-check.lisp0000644000000000000000000010005012605345045016427 0ustar rootroot;;;-*-Mode:LISP; Package: CHAOS; Base:10; Syntax:Common-lisp -*- ;;; ;;; Copyright (c) 2000-2015, Toshimi Sawada. All rights reserved. ;;; ;;; Redistribution and use in source and binary forms, with or without ;;; modification, are permitted provided that the following conditions ;;; are met: ;;; ;;; * Redistributions of source code must retain the above copyright ;;; notice, this list of conditions and the following disclaimer. ;;; ;;; * Redistributions in binary form must reproduce the above ;;; copyright notice, this list of conditions and the following ;;; disclaimer in the documentation and/or other materials ;;; provided with the distribution. ;;; ;;; THIS SOFTWARE IS PROVIDED BY THE AUTHOR 'AS IS' AND ANY EXPRESSED ;;; OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED ;;; WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ;;; ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY ;;; DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL ;;; DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE ;;; GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS ;;; INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, ;;; WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING ;;; NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS ;;; SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. ;;; (in-package :chaos) #|============================================================================= System:CHAOS Module:tools File:op-check.lisp =============================================================================|# #-:chaos-debug (declaim (optimize (speed 3) (safety 0) #-GCL (debug 0))) #+:chaos-debug (declaim (optimize (speed 1) (safety 3) #-GCL (debug 3))) ;;;***************************************************************************** ;;; CHECK TOOLS FOR OPERATORS ;;;***************************************************************************** ;;; ************************** ;;; LAZYNESS(STRICTNESS) CHECK ;;; ************************** ;;; CHECK-METHOD-STRINCTNESS method : -> Bool ;;; ;;; 1. constants(operations free from axioms) are always strict. ;;; (defun check-method-strictness (meth &optional (module (get-context-module)) report?) (with-in-module (module) (cond ((and (null (method-rules-with-different-top meth)) (rule-ring-is-empty (method-rules-with-same-top meth))) ;; the method has no rewrite rules (if report? (show-method-strictness-report meth (butlast (the-default-strategy (length (method-arity meth)))) nil) (values (butlast (the-default-strategy (length (method-arity meth)))) nil))) ;; the method has some rewrite rules associated with it. ((or ;; has some equational theory (not (theory-is-empty-for-matching (method-theory meth))) ;; the method is not free constructor. (null (method-rules-with-different-top meth)) ;; has rules with different top and constant ;; --> non-free constructor (null (method-arity meth))) ;; then the strategy is bottom up: (if report? (show-method-strictness-report meth (butlast (the-default-strategy (length (method-arity meth)))) nil) (values (butlast (the-default-strategy (length (method-arity meth)))) nil))) ;; (t ;; the real work begins here. (let ((l-ar (length (method-arity meth))) (strategy nil) (end-strategy nil)) (do ((occ 0 (1+ occ))) ((<= l-ar occ)) (block is-variable (let ((rr (method-rules-with-same-top meth))) (do ((rule (initialize-rule-ring rr) (rule-ring-next rr))) ((end-of-rule-ring rr)) (unless (term-is-variable? (term-arg-n (rule-lhs rule) occ)) ;; we eagarly evaluate non-variable argument. (push (1+ occ) strategy) ;; check next argument (return-from is-variable)))) ;; we come here iff ;; the arguments in lhs of all rules-with-same-top are ;; variables or no rules-with-same-top. (dolist (rule (method-rules-with-different-top meth)) (When (let ((argn (term-arg-n (rule-lhs rule) occ)) (m (term-head (rule-lhs rule)))) (or (not (term-is-variable? argn)) ;; argn is not a variable. (rule-is-builtin rule) (not (and ;; method is maximal? ;; overloaded is necessarily a superset ;; of lower. Note, overloaded always include ;; self + default method, but lower not. ;; thus #lower = #overloaded - 2 means the ;; method is maximal. (= (length (method-lower-methods meth)) (- (length (method-overloaded-methods meth)) 2)) (sort<= (nth occ (method-arity m)) (term-sort argn)) )))) ;; method of lhs is not maximal, ;; eagarly evaluates the non-variable argument. (push (1+ occ) strategy) ;; check the next arg. (return-from is-variable))) ;; come here if the occ-th argument is a variable,or ;; method is maximal. can delay the evaluation. (push (1+ occ) end-strategy) )) ;; (if report? (show-method-strictness-report meth (reverse strategy) (reverse end-strategy)) (values (reverse strategy) (reverse end-strategy))))) ))) (defun check-operator-strictness (op &optional (module (get-context-module)) report?) (unless module (with-output-chaos-error ('no-context) (princ "no context (current) module is given!"))) ;; (let* ((opinfo (if (opinfo-p op) (prog1 op (setq op (opinfo-operator op))) (get-operator-info op (module-all-operators module)))) (methods (opinfo-methods opinfo)) (res nil)) (when report? (print-next) (let ((*print-line-limit* 60)) (format t "~%------------------------------------------------------------") (print-next) (print-centering (format nil "* laziness of operator: ~a *" (operator-symbol op))))) ;; (dolist (meth methods) (unless (method-is-error-method meth) (multiple-value-bind (str-list1 str-list2) (check-method-strictness meth module) (when report? (with-in-module (module) (print-next) (format t "------------------------------------------------------------") (show-method-strictness-report meth str-list1 str-list2))) (push (list meth str-list1 str-list2) res)))) (nreverse res))) (defun check-operator-strictness-whole (&optional (module (get-context-module)) report?) (unless module (with-output-chaos-error ('no-context) (princ "no context (current) module is specified!"))) ;; (let ((result nil)) (dolist (opinfo (ops-to-be-shown module)) (let ((op (opinfo-operator opinfo)) (res nil)) (setq res (check-operator-strictness op module report?)) (push (cons op res) result))) (nreverse result))) (defun show-method-strictness-report (method sl1 sl2) (print-next) (print-chaos-object method) (let ((*print-indent* (+ 2 *print-indent*)) (strategy (or (method-rewrite-strategy method) (method-supplied-strategy method) (operator-strategy (method-operator method))))) (cond ((and (null sl1) (null sl2)) (print-next) (princ "* NON-STRICT (lazy).")) (t (when sl1 (print-next) (format t "* strict on the arguments : ~{~^ ~a~}" sl1)) (when sl2 (print-next) (format t "* may delay the evaluation on the arguments : ~{~^ ~a~}" sl2)))) ;; (print-next) (if strategy (format t "- rewrite strategy:~{~^ ~a~}" strategy) (princ "- rewrite strategy: none")) (let ((axioms (method-all-rules method))) (when axioms (print-next) (princ "- axioms:") (let ((*print-indent* (+ 2 *print-indent*))) (dolist (rl axioms) (print-next) (print-axiom-brief rl))))))) ;;; *************************************************************************** ;;; COHERENCY CHECK ;;; *************************************************************************** (defun method-contained-in (meth term) (cond ((term-is-constant? term) nil) (t (let ((head (term-head term))) (when (method-is-of-same-operator meth head) (return-from method-contained-in t)) (dotimes (x (length (term-subterms term))) (when (method-contained-in meth (term-arg-n term x)) (return-from method-contained-in t))) nil)))) (defun check-method-coherency (meth &optional (module (get-context-module)) (warn t)) (unless module (with-output-chaos-error ('no-cntext) (princ "checking coherecy: no context module is specified!"))) ;; (when (or (method-is-of-same-operator meth *beh-equal*) (method-is-of-same-operator meth *beh-eq-pred*)) (when warn (with-output-chaos-warning () (princ "specified operator is special built-in predicate."))) (return-from check-method-coherency nil)) ;; (let ((methods (module-beh-methods module)) (attrs (module-beh-attributes module)) (hs (dolist (x (method-arity meth)) (when (sort-is-hidden x) (return x))))) (declare (type list methods attrs)) ;; (unless (sort-p hs) (when warn (with-output-chaos-warning () (princ "operator ") (print-chaos-object meth) (princ " has no hidden sort argument."))) (return-from check-method-coherency nil)) (when (sort= *huniversal-sort* hs) (when warn (with-output-chaos-warning () (princ "specified operator is special built-in."))) (return-from check-method-coherency nil)) (when (method-is-behavioural meth) (when warn (with-output-chaos-warning () (princ "operator ") (print-chaos-object meth) (princ " is declared as behavioural."))) (return-from check-method-coherency nil)) (unless (sort-is-hidden (method-coarity meth)) (format t "~%**> operator: ") (print-chaos-object meth) (format t "~% is trivially behaviouraly coherent.") (return-from check-method-coherency t)) ;; (with-in-module (module) ;; (let ((observers nil)) (dolist (op (append methods attrs)) (when (find-if #'(lambda (x) (sort<= hs x)) (method-arity op)) (push op observers))) ;; (format t "~%**> starting coherence check of ") (print-chaos-object meth) ;; (unless observers (format t "~% no context constructing operations,") (format t "~% failed to prove coherency.") (return-from check-method-coherency nil)) ;; (let* ((con-count 0) ;; op(x1,...xn) (op-pat (make-term-with-sort-check meth (mapcar #'(lambda (x) (make-variable-term x (gensym "X"))) (method-arity meth))))) (dolist (ob observers) (let* ((hs-var (make-variable-term hs (gensym "HS"))) ;; ob(cv1,...,zi,..,cvn) (context-pat (make-term-with-sort-check ob (mapcar #'(lambda (x) (if (sort-is-hidden x) ;; op-pat hs-var (make-variable-term x (gensym "CV")))) (method-arity ob))))) (format t "~%-- context pattern(~d): " (incf con-count)) (print-chaos-object context-pat) ;; (let ((ax nil) (match? nil) (subst nil) (checked? nil) (found? nil)) ;; (dolist (x (method-rules ob)) (setq found? nil) (multiple-value-setq (match? subst) (perform-context-match (axiom-lhs x) context-pat )) (when match? (setq ax x) (if (method-contained-in meth (axiom-lhs ax)) (progn (setq subst nil) (setq found? t) ;; (format t "~% * found an axiom : ") (print-chaos-object ax)) ;; (let ((image (variable-image subst hs-var)) (new-lhs nil) (new-rhs nil) (new-cond (axiom-condition ax)) ) (when (and image (term-is-psuedo-constant? image)) (setq found? t) (setq subst (substitution-add (new-substitution) image op-pat)) ;; (format t "~% * found an axiom : ") (print-chaos-object ax) (when subst (format t "~% with substitution: ") (print-substitution subst)) ;; (setq new-lhs (substitution-image2 subst (axiom-lhs ax))) (setq new-rhs (substitution-image2 subst (axiom-rhs ax))) (unless (is-true? (axiom-condition ax)) (setq new-cond (substitution-image2 subst (axiom-condition ax)))) ;; (setq ax (make-rule :lhs new-lhs :rhs new-rhs :condition new-cond :behavioural (axiom-behavioural ax) :id-condition (axiom-id-condition ax) :type (axiom-type ax) :kind (axiom-kind ax) :labels (axiom-labels ax) :meta-and-or (axiom-meta-and-or ax))) (when *chaos-verbose* (format t "~% -- check with axiom instance:") (format t "~% ") (print-chaos-object ax)) ))) ;; ;; (when found? (setq checked? t) ;; (unless (is-true? (axiom-condition ax)) (format t "~% axiom is conditional,") (format t "~% system can not check coherency, sorry!") (return-from check-method-coherency nil)) ;; ;; RHS ;; (format t "~% -- start checking rhs pattern : ") (let ((ng? (check-def-rhs meth (axiom-rhs ax) subst 1))) (when ng? (return-from check-method-coherency nil)) (format t "~% * success.")) ))) ;; (unless checked? (format t "~% * no axioms of context pattern,") (format t "~% failed to prove.") (return-from check-method-coherency nil)) ) )) ;; all done (format t "~%** operator is behaviourally coherent.") t ))))) (defun perform-context-match (target pattern) (flet ((matcher (pat term) (if (term-is-variable? pat) (if (sort<= (term-sort term) (variable-sort pat) (module-sort-order *current-module*)) (values nil (list (cons pat term)) nil nil) (values nil nil t nil)) (if (term-is-lisp-form? pat) (values nil nil t nil) (first-match pat term))))) ;; (let ((real-target (supply-psuedo-variables target))) ;; ---- first match (multiple-value-bind (global-state subst no-match e-equal) (matcher pattern real-target) (declare (ignore global-state)) (when no-match (return-from perform-context-match nil)) (when e-equal (when *chaos-verbose* (format t "~%-- terms are equational equal.")) (return-from perform-context-match (values t nil))) ;; #|| (when *chaos-verbose* (format t "~%* match success with substitution : ") (let ((*print-indent* (+ *print-indent* 4))) (print-substitution subst))) ||# (values t subst))))) (defvar .op-found. 0) (defun check-def-rhs (meth rhs subst context-depth) (setq .op-found. 0) (let* ((rhs-inst (substitution-image2 subst rhs)) (res (check-def-rhs* meth rhs-inst context-depth nil))) (when (< 1 .op-found.) (format t "~%* operator ") (print-chaos-object meth) (format t "~%occurs more than once on RHS.")) res)) (defun check-def-rhs* (meth rhs context-depth occurrence) (cond ((term-is-constant? rhs) ; includes vars, psude vars, lisp, ; built-in constants also. nil) (t (let ((head (term-head rhs))) ;; (format t "~%RHS =") ;; (term-print rhs) ;; --------------------------------------- (when (eq *bool-if* head) (return-from check-def-rhs* nil)) ;; ^^^^^^^^------------------------------- #|| (when (some #'(lambda (x) (sort-is-hidden x)) (method-arity head)) (when (and (not (method-is-behavioural head)) (not (eq *bool-if* head)) (not (method-is-of-same-operator meth head))) (format t "~% * contains non behavioural operator with hidden sort argument.") (terpri) (print-chaos-object head) (format t "~%* failed to prove.") (return-from check-def-rhs* :ng1))) ||# (when (method-is-of-same-operator meth head) (incf .op-found.) (unless (>= context-depth (length occurrence)) (format t "~% * for operator: ") (print-chaos-object meth) (print-next) (princ " rhs = ") (term-print rhs) (format t "~% * could not find monotonic, well-founded ordering.") (format t "~% operator occurs at ~a" (mapcar #'(lambda (x) (1+ x)) (reverse occurrence))) (return-from check-def-rhs* :ng2))) (dotimes (x (length (term-subterms rhs))) (let ((ng (check-def-rhs* meth (term-arg-n rhs x) context-depth (cons x occurrence)))) (when ng (return-from check-def-rhs* ng)))) ;; nil ; OK )))) (defun check-operator-coherency (op &optional (module (get-context-module)) (warn t)) (unless module (with-output-chaos-error ('no-context) (princ "no context (current) module is given!"))) ;; (let* ((opinfo (if (opinfo-p op) (prog1 op (setq op (opinfo-operator op))) (get-operator-info op (module-all-operators module)))) (methods (opinfo-methods opinfo))) (dolist (meth methods) (when (or (method-is-user-defined-error-method meth) (not (method-is-error-method meth))) (check-method-coherency meth module warn))) )) (defun check-operator-coherency-whole (mod) (with-in-module (mod) (let ((ops (module-all-operators mod))) (dolist (opinfo ops) (let ((methods (opinfo-methods opinfo))) (dolist (meth methods) (when (or (method-is-user-defined-error-method meth) (not (method-is-error-method meth))) (check-method-coherency meth mod nil)))))))) ;;; CONGRUENCE CHECK ;;; may modify operator's attribute. ;;; (defun check-operator-congruency (mod) (let ((ops nil) (cong nil) (nocong nil) (cobasis nil) (observers nil)) (when (eq 'void *beh-equal*) (return-from check-operator-congruency nil)) (when *beh-proof-in-progress* (return-from check-operator-congruency nil)) ;; (with-in-module (mod) (dolist (op (module-beh-methods mod)) (if (method-arity op) (if (method-rules op) (push op observers) (push op ops)) (push op cong))) (dolist (op (module-beh-attributes mod)) (if (method-rules op) (push op observers) (push op ops))) (dolist (op (module-non-beh-methods mod)) (if (method-arity op) (if (method-rules op) (push op observers) (push op ops)) (push op cong))) (dolist (op (module-non-beh-attributes mod)) (unless (method-is-of-same-operator op *beh-equal*) (if (method-rules op) (push op observers) (push op ops))))) ;; (dolist (op ops) (if (check-method-congruency op observers mod) (push op cong) (push op nocong))) ;; (setq cobasis (nconc observers nocong)) ;; (with-in-module (mod) (dolist (op cong) (cond ((method-is-behavioural op) (when *chaos-verbose* (with-output-msg () (princ "operator ") (print-chaos-object op) (print-next) (princ "is need not be declared as bop.") ))) (t (when (method-arity op) ;; (setf (method-is-coherent op) t) (unless (method-is-coherent op) (with-output-simple-msg () (princ "** system found the operator") (print-next) (print-chaos-object op) (print-next) (princ "can be declared as coherent."))))) )) (setf (module-cobasis mod) cobasis) ) )) (defun check-method-congruency (meth iobservers &optional (module (get-context-module))) (unless module (with-output-panic-message () (princ "congruence check: no context module!"))) (let ((hs (method-coarity meth))) (unless (sort-is-hidden hs) (return-from check-method-congruency nil)) (when (sort= *huniversal-sort* hs) (with-output-chaos-warning () (princ "specified operator is special built-in.")) (return-from check-method-congruency nil)) ;; (with-in-module (module) (let ((observers nil)) (dolist (op iobservers) (when (find-if #'(lambda (x) (sort<= hs x)) (method-arity op)) (push op observers))) (unless observers (return-from check-method-congruency nil)) (dolist (ob observers) (let ((found nil)) (dolist (rule (method-rules ob)) (let ((lhs (axiom-lhs rule)) (subst-var nil) (rhs (axiom-rhs rule))) (multiple-value-bind (occ-l num-if-l) (find-occ lhs #'(lambda (x) (and (term-is-applform? x) (method-is-of-same-operator (term-head x) meth))) nil 0) (multiple-value-bind (occ-r num-if-r) (find-occ rhs #'(lambda (x) (and (term-is-applform? x) (method-is-of-same-operator (term-head x) meth))) nil 0) (unless (listp occ-l) (multiple-value-setq (occ-l num-if-l) (find-occ lhs #'(lambda (x) (and (term-is-variable? x) (sort<= (method-coarity meth) (term-sort x)) (setq subst-var x))) nil 0))) (when (and occ-l (not (listp occ-r)) subst-var) (multiple-value-setq (occ-r num-if-r) (find-occ rhs #'(lambda (x) (and (term-is-variable? x) (variable= x subst-var))) nil 0))) (when (and (listp occ-l) (or (not (listp occ-r)) ;; (<= (length occ-r) (length occ-l)) (<= (- (length occ-r) num-if-r) (length occ-l)) )) (setq found t) (return t)))))) ; done for all rules of an observer (unless found (return-from check-method-congruency nil)))) ;; done for all t)))) ;;; ;;; ;;; (defun substitution-image2 (sigma term) (declare (type list sigma) (type term)) (let ((*consider-object* t)) (cond ((or (term-is-variable? term) (term-is-psuedo-constant? term)) (let ((im (variable-image-slow sigma term))) (if im (values im (sort= (variable-sort term) (term-sort im))) (values term t)))) ((term-is-builtin-constant? term) term) ((term-is-lisp-form? term) (multiple-value-bind (new success) (funcall (lisp-form-function term) sigma) (if success new term))) ((term-is-applform? term) (let ((l-result nil) (modif-sort nil)) (dolist (s-t (term-subterms term)) (multiple-value-bind (image-s-t same-sort) (substitution-image2 sigma s-t) (unless same-sort (setq modif-sort t)) (push image-s-t l-result))) (setq l-result (nreverse l-result)) (let ((method (term-head term))) (if (and (cdr l-result) (null (cddr l-result)) (method-is-identity method)) ;; head operator is binary & has identity theory (if (term-is-zero-for-method (car l-result) method) ;; ID * X --> X ;; simplify for left identity. (values (cadr l-result) (sort= (term-sort term) (term-sort (cadr l-result)))) ;; X * ID --> X (if (term-is-zero-for-method (cadr l-result) method) (values (car l-result) (sort= (term-sort term) (term-sort (car l-result)))) ;; X * Y (if modif-sort (let ((term-image (make-term-with-sort-check method l-result))) (values term-image (sort= (term-sort term) (term-sort term-image)))) (values (make-applform (term-sort term) method l-result) t) ; sort not changed ))) ; done for zero cases ;; This is the same as the previous bit of code (if modif-sort (let ((term-image (make-term-with-sort-check method l-result))) (values term-image (sort= (term-sort term) (term-sort term-image)))) (values (make-applform (method-coarity method) method l-result) t)))))) (t (break "not implemented yet")) ))) ;;; EOF cafeobj-1.5.4/chaos/tools/regcheck.lisp0000644000000000000000000006774612605345045016541 0ustar rootroot;;;-*- Mode:LISP; Package:CHAOS; Base:10; Syntax:Common-lisp -*- ;;; ;;; Copyright (c) 2000-2015, Toshimi Sawada. All rights reserved. ;;; ;;; Redistribution and use in source and binary forms, with or without ;;; modification, are permitted provided that the following conditions ;;; are met: ;;; ;;; * Redistributions of source code must retain the above copyright ;;; notice, this list of conditions and the following disclaimer. ;;; ;;; * Redistributions in binary form must reproduce the above ;;; copyright notice, this list of conditions and the following ;;; disclaimer in the documentation and/or other materials ;;; provided with the distribution. ;;; ;;; THIS SOFTWARE IS PROVIDED BY THE AUTHOR 'AS IS' AND ANY EXPRESSED ;;; OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED ;;; WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ;;; ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY ;;; DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL ;;; DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE ;;; GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS ;;; INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, ;;; WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING ;;; NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS ;;; SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. ;;; (in-package :chaos) #|============================================================================== System: Chaos Module: tools File: recheck.lisp ==============================================================================|# #-:chaos-debug (declaim (optimize (speed 3) (safety 0) #-GCL (debug 0))) #+:chaos-debug (declaim (optimize (speed 1) (safety 3) #-GCL (debug 3))) ;;; (defvar *regularize-debug* nil) ;;; *** ;;; SOP_________________________________________________________________________ ;;; *** ;;; SOP gathers methods of an operator. Methods are categorized into two ;;; groups: empties and non-empties, which are a set of empty methods ;;; (i.e., methods with some argument sorts are empty sorts) and non-empty ;;; methods respectively. ;;; (defstruct (sop (:type list)(:copier nil) (:constructor create-sop (operator))) (operator nil) ; operator. (empties nil) ; set of methods whose arity contains ; some empty sort. (non-empties nil) ; non-empty methods. ) (defun print-sop (sop &optional (module (get-context-module))) (with-in-module (module) (format t "~%** SOP : operator ") (print-chaos-object (sop-operator sop)) (format t "~%-- empty methods") (if (sop-empties sop) (let ((*print-indent* (+ 2 *print-indent*))) (dolist (meth (sop-empties sop)) (print-next) (print-chaos-object meth))) (princ " : None")) (format t "~%-- non empty methods") (if (sop-non-empties sop) (let ((*print-indent* (+ 2 *print-indent*))) (dolist (meth (sop-non-empties sop)) (print-next) (print-chaos-object meth))) (princ " : None")))) ;;; *********** ;;; SORT MARK __________________________________________________________________ ;;; *********** ;;; sorts are marked iff it is non-empty, i.e., has at least one term of the sort. ;;; (defun is-sort-marked? (s) (sort-is-inhabited s)) (defun mark-sort (s &optional (so *current-sort-order*)) (setf (sort-is-inhabited s) t) (dolist (x (supersorts-no-err s so)) (setf (sort-is-inhabited x) t))) (defun unmark-sorts (sl) (dolist (s sl) (setf (sort-is-inhabited s) nil))) (defmacro get-unmarked-sorts ($_?sl) ; not used? ` (let (($$res_ nil)) (dolist (*_s ,$_?sl) (unless (sort-is-inhabited *_s) (push *_s $$res_))) $$res_)) ;;; ----------------------- ;;; CHECK-SIGNATURE-EMPTIES ;;; : Module -> List[empty-sort] List[non-empty-sort] List[Sop] ;;; (defun check-signature-empties (module) (let ((esorts nil) (nesorts nil) (neops nil)) (clear-tmp-sort-cache) (with-in-module (module) (let ((sorts (module-all-sorts module)) (sops nil)) ;; initially, all sorts are marked empty. (unmark-sorts sorts) ;; mark builtin sorts as non-empty (dolist (x sorts) (when (or (eq (sort-module x) *chaos-module*) (sort-is-builtin x) (and-sort-p x)) (mark-sort x) (pushnew x nesorts :test #'eq))) ;; and all operators are assumed to be empty. ;; note we ignore error operators (dolist (opinfo (module-all-operators module)) (let* ((methods (opinfo-methods opinfo)) (op-name (operator-name (opinfo-operator opinfo))) (sop (find-if #'(lambda (x) (equal op-name (operator-name (sop-operator x)))) sops))) (unless sop (setq sop (create-sop (opinfo-operator opinfo))) (push sop sops)) ;; (dolist (method methods) (unless (method-is-error-method method) (push method (sop-empties sop)) )))) ;; iterate while there are no changes in empty sorts, ;; or empty methods. (let ((changed? t)) (while changed? (setq changed? nil) ;; (dolist (sop sops) (let ((eop nil)) (dolist (method (sop-empties sop)) (if (every #'(lambda (x) (is-sort-marked? x)) (method-arity method)) (progn (setq changed? t) (push method (sop-non-empties sop)) (push method neops) (dolist (s (super-or-equal-sorts (method-coarity method))) (mark-sort s) (pushnew s nesorts :test #'eq))) (progn (push method eop)))) (setf (sop-empties sop) eop))))) ;; check is done. ;; (setq esorts (set-difference sorts nesorts :test #'eq)) (values esorts nesorts sops neops))))) ;;; ;;; ;;; (defvar *regularize-glb-sorts-so-far* nil) (defvar *regularize-sorts-to-be-added* nil) (defvar *regularize-methods-so-far* nil) (defvar *regularize-methods-to-be-added* nil) ;;; ;;; REGULARIZE-MAKE-GLB ;;; (defvar *regularize-optimize* t) (defun regularize-make-glb (sorts module) (let ((so (module-sort-order module))) (setq sorts (minimal-sorts sorts so)) (unless (cdr sorts) (return-from regularize-make-glb (values (car sorts) nil))) ;; (let ((xset (mapcar #'(lambda (x) (reg-direct-sub-or-equal-sorts x so)) sorts))) (let ((glb nil) (meets (car xset))) (dolist (xs (cdr xset)) (setq meets (intersection meets xs))) (if meets (setq meets (maximal-sorts meets so)) (setq meets (minimal-sorts sorts so))) ;; (unless (cdr meets) (when (and-sort-p (car meets)) (return-from regularize-make-glb (values (car meets) nil)))) ;; (when *regularize-debug* (format t "~%** making glb from sorts :") (print-chaos-object sorts)) (setq glb (make-glb-sort sorts module)) ;; ;; further optimization can be done here, but... ;; (let ((pre (find-if #'(lambda (x) (when *regularize-optimize* (reg-sort-included x glb so) (equal (sort-id glb) (sort-id x))) ) *regularize-glb-sorts-so-far*))) (when pre (return-from regularize-make-glb (values pre nil))) (push glb *regularize-glb-sorts-so-far*) (values glb t)))))) (defun reg-direct-subsorts (sort sort-order) (cond ((and-sort-p sort) (let ((subs nil)) (dolist (x (and-sort-components sort)) (dolist (s (reg-direct-subsorts x sort-order)) (pushnew s subs :test #'eq))) subs)) (t (direct-subsorts sort sort-order)))) (defun reg-sub-or-equal-sorts (sort sort-order) (cons sort (reg-direct-subsorts sort sort-order))) (defun reg-direct-sub-or-equal-sorts (sort sort-order) (if (and-sort-p sort) (let ((subs nil)) (dolist (x (and-sort-components sort)) (dolist (s (reg-direct-sub-or-equal-sorts x sort-order)) (pushnew s subs :test #'eq))) (pushnew sort subs :test #'eq)) (cons sort (direct-subsorts sort sort-order)))) (defun reg-sort<= (s1 s2 so) (cond ((and-sort-p s1) (some #'(lambda (x) (reg-sort<= x s2 so)) (and-sort-components s1))) ((and-sort-p s2) (every #'(lambda (x) (reg-sort<= s1 x so)) (and-sort-components s2))) (t (if (sort<= s1 s2 so) t nil))) ) ;;; assume that both s1 and s2 are and-sorts. ;;; s1 <= s2 (defun reg-sort-included (s1 s2 so) (declare (ignore so)) (unless (and (and-sort-p s1) (and-sort-p s2)) (with-output-panic-message () (format t "[reg-sort-included]: assumption failure!") (print-next)(princ "s1 = ")(print-chaos-object s1) (print-next)(princ "s2 = ")(print-chaos-object s2) (chaos-error 'panic))) (let ((compo1 (and-sort-components s1)) (compo2 (and-sort-components s2))) (every #'(lambda (x) (memq x compo2)) compo1))) (defun reg-sort-list<= (sl1 sl2 so) (declare (type list sl1 sl2) (type sort-order so)) (and (= (the fixnum (length sl1)) (the fixnum (length sl2))) (every #'(lambda (x y) (reg-sort<= x y so)) sl1 sl2))) (defun reg-sort< (s1 s2 so) (cond ((and-sort-p s1) (some #'(lambda (x) (reg-sort< x s2 so)) (and-sort-components s1))) ((and-sort-p s2) (every #'(lambda (x) (reg-sort< s1 x so)) (and-sort-components s2))) (t (if (sort< s1 s2 so) t nil))) ) (defun reg-sort-list= (sl1 sl2) (equal sl1 sl2)) ;;; EXAMINE-REGULARITY module ;;; checks if the signature of given module is regular or not. ;;; (defun examine-regularity (module) (multiple-value-bind (empty-sorts non-empty-sorts sops non-empties) (check-signature-empties module) (declare (ignore non-empty-sorts)) ;; (setq *regularize-glb-sorts-so-far* (module-sorts-for-regularity module) *regularize-sorts-to-be-added* nil *regularize-methods-so-far* nil *regularize-methods-to-be-added* nil) ;; (with-in-module (module) (let ((new-sorts nil) (new-methods nil) (redundant-methods nil) (empty-methods nil)) ;; step-1 ;; make new and-sorts which are necessary for regularity. ;; for each connected component of sorts, we possibly need ;; a new and-sort. ;; and for each combination of sort ilands, we also need possibly ;; a new and-sort. ;; we make each from non-empty methods. (dolist (opinfo (module-all-operators module)) (block make-coarity ;; step 1.1 : first we make glb sort for connected components. (let ((entry (find-if #'(lambda (x) (equal (car x) (operator-name (opinfo-operator opinfo)))) new-sorts))) (unless entry (setq entry (cons (operator-name (opinfo-operator opinfo)) nil)) (push entry new-sorts)) ;; optimization here? eliminate builtin ops... (let ((methods (remove-if #'(lambda (x) (method-is-error-method x)) (opinfo-methods opinfo)))) (let ((new-coarity nil) (coarities nil)) (dolist (meth methods) (when (memq meth non-empties) (pushnew (method-coarity meth) coarities :test #'eq))) (unless coarities (return-from make-coarity nil)) ;; compute new coarity (multiple-value-bind (ncor new?) (regularize-make-glb coarities module) (declare (ignore new?)) (setq new-coarity ncor)) ;; (pushnew new-coarity (cdr entry) :test #'eq) (when (and-sort-p new-coarity) (pushnew new-coarity *regularize-sorts-to-be-added* :test #'eq)) ))) )) ;; step 1.2 ;; we make glb for each combinations of sort ilands. ;; note: new-sorts is the form of List[(operator-name sorts)]. #|| TOO MUCH, this is not needed. (dolist (cg new-sorts) (let ((new nil)) (do ((ss (cdr cg) (cdr ss))) ((endp ss)) (dolist (s (cdr ss)) (multiple-value-bind (glb new?) (regularize-make-glb (list (car ss) s) module) (when new? ;; note, because the disjointness, new? is the ;; tigger to add. (push glb *regularize-sorts-to-be-added*) (mark-sort glb)) (pushnew glb new :test #'eq)))) (setf (cdr cg) (nconc (cdr cg) new)) )) ||# ;; (when *regularize-debug* (format t "~%** step1 result :") (let ((*print-indent* (+ 2 *print-indent*))) (print-next) (princ "- sorts for each operator symbol :") (dolist (s new-sorts) (print-next) (print-chaos-object (car s)) (princ " : ") (print-chaos-object (cdr s))) (print-next) (princ "- sorts to be added!") (print-next) (print-chaos-object *regularize-sorts-to-be-added*))) ;;----------------------------------------------------- ;; step-2 ;; now *regularize-sorts-to-be-added* is the sufficient ;; set of and-sorts for regularity. ;; based on these, we construct new methods if need. ;; here, we consider each group of overloaded operators ;; (including ad hoc overloading), sops returned from ;; check-signature-empties organized so. ;; (when *regularize-debug* (princ "(start checking operators : ")) (dolist (sop sops) ;; step 2-1. first we construct ranks which may be ;; necessary for regularity. ;; the result will be hold in new-ranks. (let ((methods (sop-non-empties sop)) (name (operator-name (sop-operator sop))) (cent nil) (redun-methods nil) (new-ranks nil)) ;; (when *regularize-debug* (format t "~{~a~^ ~a~} " (car name))) ;; (setq cent (find-if #'(lambda (x) (equal name (car x))) new-sorts)) (unless cent (return nil)) ; no possibility ;; ;; loop until no more pssible new rank ... ;; (let ((changed? t)) (while changed? (when (or *chaos-verbose* *regularize-debug*) (princ ".") (force-output)) (setq changed? nil) (block make-new-rank ;; for each combination. (do ((mm methods (cdr mm))) ((endp mm)) (dolist (m (cdr mm)) ; makes combination (block make-rank (let ((new-ar (make-list (the fixnum (length (the list (reg-method-arity m)))))) (new-cr nil) (a1 (reg-method-arity (car mm))) (a2 (reg-method-arity m)) (c1 (reg-method-coarity (car mm))) (c2 (reg-method-coarity m))) (declare (type list a1 a2) (type sort* c1 c2)) ;; (when *regularize-debug* (let ((*print-indent* (+ 2 *print-indent*))) (print-next) (princ "- check comination of ") (print-chaos-object (car mm)) (print-next) (princ " .vs. ") (print-chaos-object m))) ;; (dotimes (x (length a1)) (declare (type fixnum x)) (multiple-value-bind (glb new?) (regularize-make-glb (list (nth x a1) (nth x a2)) module) (cond (new? (return-from make-rank nil)) ((and-sort-p glb) (unless (memq glb *regularize-sorts-to-be-added*) (return-from make-rank nil)))) (setf (nth x new-ar) glb))) ;; search for proper coarity. (multiple-value-bind (glb new?) (regularize-make-glb (list c1 c2) module) (when new? (if (and-sort-p glb) (not (every #'(lambda (x) (is-sort-marked? x)) (and-sort-components glb))) (return-from make-rank nil))) (setq new-cr glb)) ;; (unless new-cr (return-from make-rank nil)) ;; new-ar and new-cr contais possible new rank ;; for this combination. ;; we register it to new (when *regularize-debug* (let ((*print-indent* (+ *print-indent* 2))) (print-next) (princ "trying to add new rank ") (print-chaos-object (list new-ar new-cr)))) ;; ;; redundancy check ;; (multiple-value-bind (to-add? method-list redundant) (check-method-redundancy new-ar new-cr methods module) (setq redun-methods (nconc redun-methods redundant)) (when to-add? (setq changed? t) (when *regularize-debug* (princ " ... new one! added.")) (pushnew (list new-ar new-cr) new-ranks :test #'equal) (mark-sort new-cr) (pushnew new-cr *regularize-sorts-to-be-added* :test #'eq) ;; we try from new intial stage... (setq methods method-list) (return-from make-new-rank nil))) )) ; block make-rank )) ; end all possible combination of an op. ) ; block make-new-rank ) ; end of while ) ;; we end for each combination of this overloaded operators. ;; new contains new raks. (let ((*print-indent* (+ *print-indent* 2))) (when new-ranks (push (cons (sop-operator sop) new-ranks) new-methods)) (setf redundant-methods (nconc redundant-methods redun-methods)) ;; (when *regularize-debug* (print-next) (princ "- new ranks :") (if new-ranks (dolist (e new-ranks) (print-next) (print-chaos-object e)) (princ "None")))) ;; )) ; end of all operator groups. ;; ;; returns the whole result ;; (when (or *chaos-verbose* *regularize-debug*) (princ ")") (terpri) (force-output)) (dolist (sop sops) (setq empty-methods (nconc empty-methods (sop-empties sop)))) (setq empty-methods (delete-duplicates empty-methods :test #'equal)) (setq redundant-methods (delete-duplicates redundant-methods :test #'equal)) (let ((ns nil)) #|| (dolist (x new-sorts) (dolist (s (cdr x)) (when (and (and-sort-p s) (is-sort-marked? s) (not (memq s (module-sorts module)))) (pushnew s ns :test #'eq)))) ||# (dolist (s *regularize-sorts-to-be-added*) (when (and (and-sort-p s) (is-sort-marked? s) (not (memq s (module-sorts module)))) (pushnew s ns :test #'eq))) ;; (values empty-sorts ns new-methods redundant-methods empty-methods)) )))) (defun reg-report-method (m module) (cond ((operator-method-p m) (print-chaos-object m)) (t (let ((name (operator-symbol (car m))) (ranks (cdr m)) (f nil)) (dolist (rank ranks) (when f (print-next)) (setq f t) (format t "~{~a~} : " name) (dolist (s (car rank)) (print-sort-name s module) (princ " ")) (princ "-> ") (print-sort-name (cadr rank) module) ))))) (defun reg-method-arity (m) (if (operator-method-p m) (method-arity m) (car m))) (defun reg-method-coarity (m) (if (operator-method-p m) (method-coarity m) (cadr m))) (defun check-method-redundancy (arity coarity method-list &optional (module (get-context-module))) (let ((so (module-sort-order module)) (redundant-methods nil) (not-tobe-added? nil)) (let ((new-set nil)) (dolist (meth method-list) (cond ((reg-sort-list= arity (reg-method-arity meth)) (when *regularize-debug* (let ((*print-indent* (+ *print-indent* 2))) (format t "~%- check redundancy with :") (print-chaos-object meth))) ;; (when (sort= (reg-method-coarity meth) coarity) (when *regularize-debug* (format t "~%- there already the same one.")) (return-from check-method-redundancy (values nil method-list nil))) ;; (if (cond ((and-sort-p coarity) (reg-sort<= coarity (reg-method-coarity meth) so)) (t (reg-sort< coarity (reg-method-coarity meth) so))) (progn (when *regularize-debug* (format t "~%- redundant..")) (push meth redundant-methods)) (progn (when *regularize-debug* (format t "~%- not redundant..")) (push meth new-set)))) (t (push meth new-set)))) ;; (setq method-list new-set) (unless (setq not-tobe-added? (dolist (d new-set nil) (when (and (reg-sort-list= (reg-method-arity d) arity) (reg-sort< (reg-method-coarity d) coarity so)) (return t)))) (push (list arity coarity) method-list)) ;; (values (not not-tobe-added?) method-list redundant-methods) ;; ))) ;;; ;;; CHECK-REGULARITY : Module -> ... ;;; (defun check-regularity (module &optional (silent nil)) (multiple-value-bind (empty-sorts new-sorts new-methods redundant-methods empty-methods) (examine-regularity module) ;; (unless (or empty-sorts new-sorts new-methods redundant-methods empty-methods) (unless silent (with-output-msg () (princ "signature of module ") (print-chaos-object module) (princ " is regular."))) (return-from check-regularity nil)) ;; (with-in-module (module) (unless silent (let ((*print-indent* (+ 2 *print-indent*))) (declare (special *print-indent*)) (when empty-sorts (with-output-simple-msg () (format t ">> The following sorts are empty:") (dolist (s empty-sorts) (print-next) (print-sort-name s module)))) (when new-sorts (with-output-simple-msg () (format t ">> The following sorts may be required for regularity:") (dolist (s new-sorts) (let ((subs (reg-direct-subsorts s (module-sort-order module)))) (print-next) (princ "[ ") (when subs (dolist (s subs) (print-sort-name s module) (princ " ")) (princ "< ")) (print-sort-name s) (princ " <") (dolist (x (and-sort-components s)) (princ " ") (print-sort-name x module)) (princ " ]"))))) (when new-methods (with-output-simple-msg () (format t ">> The following operators may be required for regularity:") (dolist (m new-methods) (print-next) (reg-report-method m module)))) (when redundant-methods (with-output-simple-msg () (format t ">> The following operators are detected as redundant,") (format t "~% due to the above new operators.") (dolist (m redundant-methods) (print-next) (reg-report-method m module)))) (when empty-methods (with-output-simple-msg () (format t ">> The following operators have empty arity:") (dolist (m empty-methods) (print-next) (reg-report-method m module))))))) ;; was not regular t)) ;;; EOF cafeobj-1.5.4/chaos/tools/regularize.lisp0000644000000000000000000001423012605345045017113 0ustar rootroot;;;-*- Mode:LISP; Package:CHAOS; Base:10; Syntax:Common-lisp -*- ;;; ;;; Copyright (c) 2000-2015, Toshimi Sawada. All rights reserved. ;;; ;;; Redistribution and use in source and binary forms, with or without ;;; modification, are permitted provided that the following conditions ;;; are met: ;;; ;;; * Redistributions of source code must retain the above copyright ;;; notice, this list of conditions and the following disclaimer. ;;; ;;; * Redistributions in binary form must reproduce the above ;;; copyright notice, this list of conditions and the following ;;; disclaimer in the documentation and/or other materials ;;; provided with the distribution. ;;; ;;; THIS SOFTWARE IS PROVIDED BY THE AUTHOR 'AS IS' AND ANY EXPRESSED ;;; OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED ;;; WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ;;; ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY ;;; DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL ;;; DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE ;;; GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS ;;; INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, ;;; WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING ;;; NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS ;;; SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. ;;; (in-package :chaos) #|============================================================================== System: Chaos Module: tools File: regularize.lisp ==============================================================================|# #-:chaos-debug (declaim (optimize (speed 3) (safety 0) #-GCL (debug 0))) #+:chaos-debug (declaim (optimize (speed 1) (safety 3) #-GCL (debug 3))) ;;; == DESCRIPTION ============================================================= ;;; procedure for regularizing the signature of a module. ;;; ;;; REGULARIZE-SIGNATURE : Module -> Module' ;;; regularize a signature of given module. ;;; (defun regularize-signature-internal (module) ;; (unless *regularize-signature* (return-from regularize-signature-internal nil)) ;; (with-in-module (module) (let ((*print-indent* (+ *print-indent* 2))) ;; init. (setf (module-sorts-for-regularity module) nil (module-methods-for-regularity module) nil (module-void-methods module) nil) ;; (multiple-value-bind (empty-sorts new-sorts new-methods redundant-methods empty-methods) (examine-regularity module) ;; declare new sorts in module (dolist (new-sort new-sorts) (unless (memq new-sort (module-sorts-for-regularity module)) (push new-sort (module-sorts-for-regularity module)) (add-sort-to-module new-sort module) (declare-subsort-in-module ` ((,new-sort :< ,@(and-sort-components new-sort))) module) (unless *chaos-quiet* (let ((*standard-output* *error-output*)) (print-next) (princ "-- declaring sort [") (print-sort-name new-sort module) (princ " <") (dolist (s (and-sort-components new-sort)) (princ " ") (print-sort-name s module)) (princ "], for regularity."))) )) ;; declare new operators. (dolist (m new-methods) (let ((name (operator-symbol (car m))) (ranks (cdr m))) (dolist (rank ranks) (multiple-value-bind (op meth) (declare-operator-in-module name (car rank) (cadr rank) module) (declare (ignore op)) (unless *chaos-quiet* (let ((*standard-output* *error-output*)) (print-next) (princ "-- declaring operator ") (print-chaos-object meth) (princ " for regularity."))) (pushnew meth (module-methods-for-regularity module)) )))) ;; set void-methods -- not used now? (dolist (m empty-methods) (pushnew m (module-void-methods module) :test #'eq)) ;; reports misc infos. (unless *chaos-quiet* (when empty-sorts (let ((*standard-output* *error-output*)) (print-next) (format t ">> The following sorts are empty:") (dolist (s empty-sorts) (print-next) (print-sort-name s module)))) (when redundant-methods (let ((*standard-output* *error-output*)) (print-next) (format t ">> The following operators are detected as redundant,") (print-next) (format t " due to the above new operators.") (dolist (m redundant-methods) (print-next) (reg-report-method m module)))) (when empty-methods (let ((*standard-output* *error-output*)) (print-next) (format t ">> The following operators have empty arity:") (dolist (m empty-methods) (print-next) (reg-report-method m module)))) ) ;; t)))) ;;; ;;; REGULARIZE-SIGNATURE ;;; (defun regularize-signature (module) (let ((chaos-quiet *chaos-quiet*) ;; (*chaos-verbose* t) (*regularize-signature* t) (*auto-reconstruct* t)) (declare (special *regularize-signature* *auto-reconstruct* ;; *chaos-verbose* *chaos-quiet*)) (setq *chaos-quiet* nil) (regularize-signature-internal module) (mark-need-parsing-preparation module) (setq *chaos-quiet* t) (compile-module module) (setq *chaos-quiet* chaos-quiet) )) ;;; EOF cafeobj-1.5.4/chaos/tools/sensible.lisp0000644000000000000000000000743012605345045016552 0ustar rootroot;;;-*- Mode:LISP; Package:CHAOS; Base:10; Syntax:Common-lisp -*- ;;; ;;; Copyright (c) 2000-2015, Toshimi Sawada. All rights reserved. ;;; ;;; Redistribution and use in source and binary forms, with or without ;;; modification, are permitted provided that the following conditions ;;; are met: ;;; ;;; * Redistributions of source code must retain the above copyright ;;; notice, this list of conditions and the following disclaimer. ;;; ;;; * Redistributions in binary form must reproduce the above ;;; copyright notice, this list of conditions and the following ;;; disclaimer in the documentation and/or other materials ;;; provided with the distribution. ;;; ;;; THIS SOFTWARE IS PROVIDED BY THE AUTHOR 'AS IS' AND ANY EXPRESSED ;;; OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED ;;; WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ;;; ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY ;;; DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL ;;; DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE ;;; GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS ;;; INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, ;;; WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING ;;; NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS ;;; SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. ;;; (in-package :chaos) #|============================================================================== System: Chaos Module: tools File: sensible.lisp ==============================================================================|# #-:chaos-debug (declaim (optimize (speed 3) (safety 0) #-GCL (debug 0))) #+:chaos-debug (declaim (optimize (speed 1) (safety 3) #-GCL (debug 3))) ;;; **************** ;;; Sensible Checker ;;; **************** (defun check-sensible (module &optional report) (let ((result nil)) (with-in-module (module) (let ((opinfos (module-all-operators module))) (dolist (opinfo opinfos) (let ((r1 (check-op-sensibleness opinfo))) (when r1 (push r1 result))))) (if result (let ((*print-indent* 2)) (with-output-simple-msg () (format t "<< The signature of the module is not sensible.")) (print-next) (format t " The following overloaded operators make the signature non-sensible:") (dolist (op result) (dolist (p1 op) (let ((*print-indent* (+ 2 *print-indent*))) (print-next) (print-method p1 module *standard-output*))))) (when report (with-output-simple-msg () (format t "<< The signature of the module is sensible."))) )))) (defun check-op-sensibleness (opinfo) (let ((methods (opinfo-methods opinfo)) (vio-pair nil)) (do* ((ms methods (cdr ms)) (method (car methods) (car methods))) ((endp (cdr ms))) (dolist (m2 (cdr ms)) (unless (is-sensible method m2) (pushnew method vio-pair) (pushnew m2 vio-pair)))) vio-pair)) (defun is-sensible (m1 m2) (let* ((ar-list1 (method-arity m1)) (ar-list2 (method-arity m2)) (alen (length ar-list1)) (cor1 (method-coarity m1)) (cor2 (method-coarity m2))) (unless (is-in-same-connected-component cor1 cor2 *current-sort-order*) (return-from is-sensible nil)) (dotimes (x alen) (unless (is-in-same-connected-component (nth x ar-list1) (nth x ar-list2) *current-sort-order*) (return-from is-sensible nil))) t)) ;;; EOF cafeobj-1.5.4/chaos/tools/set.lisp0000644000000000000000000004725312605345045015550 0ustar rootroot;;;-*- Mode:LISP; Package:CHAOS; Base:10; Syntax:Common-lisp -*- ;;; ;;; Copyright (c) 2000-2015, Toshimi Sawada. All rights reserved. ;;; ;;; Redistribution and use in source and binary forms, with or without ;;; modification, are permitted provided that the following conditions ;;; are met: ;;; ;;; * Redistributions of source code must retain the above copyright ;;; notice, this list of conditions and the following disclaimer. ;;; ;;; * Redistributions in binary form must reproduce the above ;;; copyright notice, this list of conditions and the following ;;; disclaimer in the documentation and/or other materials ;;; provided with the distribution. ;;; ;;; THIS SOFTWARE IS PROVIDED BY THE AUTHOR 'AS IS' AND ANY EXPRESSED ;;; OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED ;;; WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ;;; ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY ;;; DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL ;;; DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE ;;; GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS ;;; INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, ;;; WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING ;;; NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS ;;; SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. ;;; (in-package :chaos) #|============================================================================== System: CHAOS Module: tools File: set.lisp ==============================================================================|# #-:chaos-debug (declaim (optimize (speed 3) (safety 0) #-GCL (debug 0))) #+:chaos-debug (declaim (optimize (speed 1) (safety 3) #-GCL (debug 3))) ;;;----------------------------------------------------------------------------- ;;; SET COMMAND Handlers ;;;----------------------------------------------------------------------------- ;;; (key (list_of_sub_key) 'parity global-var doc-string [on-proc off-proc]) ;;; (key (list_of_sub_key) 'general global-var doc-string set-proc) (defmacro chaos-switch-key (sw) `(car ,sw)) (defmacro chaos-switch-subkey (sw) `(cadr ,sw)) (defmacro chaos-switch-type (sw) `(caddr ,sw)) (defmacro chaos-switch-var (sw) `(cadddr ,sw)) (defmacro chaos-switch-doc (sw) `(fifth ,sw)) (defmacro chaos-switch-on-proc (sw) `(sixth ,sw)) (defmacro chaos-switch-off-proc (sw) `(seventh ,sw)) (defmacro chaos-switch-set-proc (sw) `(sixth ,sw)) (defmacro chaos-switch-hidden (sw) `(eighth ,sw)) (defparameter *chaos-switches* '((:comment "** rewriting -------------------------------------------") ("trace" ("whole") parity $$trace-rewrite-whole "trace rewrite step." trace-whole-on trace-whole-off) ("trace" ("proof") parity $$trace-proof "trace CITP.") ("trace" nil parity $$trace-rewrite "trace every rewrite step." trace-on trace-off) ("step" nil parity *rewrite-stepping* "stepwise rewriting process." step-on step-off) ("memo" nil parity *memo-rewrite* "enable term memoization.") ("always" ("memo") parity *always-memo* "implicitly set 'memo' attributes to user defined operators.") ("clean" ("memo") parity *clean-memo-in-normalize* "clean up term memo table before normalization.") (("statistics" "stats") nil parity *show-stats* "show statistics data after reduction.") (("rewrite" "rwt") ("limit") general *rewrite-count-limit* "maximum number of rewriting." set-rewrite-count-limit2) ("stop" ("pattern") general *rewrite-stop-pattern* "stop rewriting when meets pattern(term)." set-rewrite-stop-pattern2) ;; ("mel" ("sort") parity *mel-sort* ;; "compute result sort with sort membership predicates.") ;; ("mel" ("always") parity *mel-always* ;; "apply sort memb predicates even the result is of non-error sort.") ("reduce" ("conditions") parity *reduce-conditions* "reduce condition part in \"apply\" command.") ;; ("allow" ("$$term") parity *allow-$$term* ;; "allow using \"$$term\" or \"$$subterm\"") ("exec" ("trace") parity *cexec-trace* "if on, trace concurrent execution.") ("exec" ("limit") general *cexec-limit* "limit maximum number of concurrent execution." chaos-set-cexec-limit) ;; ("exec" ("normalize") parity *cexec-normalize* ;; "if on, reduce term before and after each transition.") ;; ("exec" ("all") parity *cexec-find-all-solutions* ;; "if on, find all solutions of =(*)=>.") (:comment "** system behaviour control ----------------------------") ("include" ("BOOL") parity *include-BOOL* "import BOOL implicitly.") ("include" ("RWL") parity *include-rwl* "import RWL implicitly.") #+:bigpink ("include" ("FOPL-CLAUSE") parity *include-fopl* "import FOPL-CLAUSE implicitly.") ;; ("stats" nil parity *show-stats* "abbribiation of `statistics'.") ("auto" ("context") parity *auto-context-change* "automatic change current context(module).") ;; ("auto" ("reconstruct") parity *auto-reconstruct* ;; "perform automatic reconstruction of modules if inconsistent.") ;; ("accept" ("term") parity *allow-general-term-input* ;; "allow input term directly at top level.") (("regularize" "reg") ("signature") parity *regularize-signature* "regularize module signature automatic.") ("check" ("import") parity *check-import-mode* "check conflicting importing mode of submodules.") ("check" ("regularity") parity *check-regularity* "perform regularity check of signatures in automatic.") ("check" ("coherency") parity *check-rwl-coherency* "check transitions and equations are coherent or not in automatic.") ("check" ("sensible") parity *check-sensibleness* "check if sigunature is sensible in automatic.") ("check" ("compatibility") parity *check-compatibility* "perform compatibility check of TRS in automatic.") ;; ("check" ("builtin") parity *builtin-overloading-check* ;; "perform operator overloading check with builtin sorts.") ;; ("select" ("term") parity *select-ambig-term* ;; "allow users to select a term from anbiguously parsed terms.") ("verbose" nil parity *chaos-verbose* "set verbose mode." set-verbose-on set-verbose-off) ("quiet" () parity *chaos-quiet* "be quiet." set-quiet-on set-quiet-off) (:comment "** show/display options --------------------------------") ("all" ("axioms") parity *print-all-eqns* "print all axioms in \"show \"") ;; ("all" ("rules") parity *module-all-rules-every* ;; "print all rules in \"show rules\" command.") ("show" ("mode") general *show-mode* "set syntax of printed modules or views, .e.t.c. ~~value is either :cafeobj or :meta." chaos-set-show-mode) ("show" ("var" "sorts") parity *print-with-sort* "if on, variables are printed with their sorts.") ;; ("show" ("ext-rule") parity *print-exec-rule* "if on, print out (c)trans rules in reduction of '_=(,)=>+_if_suchThat_{_}'. default off.") ("print" ("mode") general *print-xmode* "set term print form, one of :normal, :fancy, :tree or :s-expr." chaos-set-print-mode) ("print" ("depth") general *term-print-depth* "max depth of terms to be printed." chaos-set-print-depth) (:comment "** misc settings ---------------------------------------") ("libpath" () general *chaos-libpath* "set file search path. `set libpath + path-list' adds search path." chaos-set-search-path) ;; (("tram" "compiler") ("path") general *tram-path* ;; "pathname to TRAM compiler." ;; chaos-set-tram-path) ;; (("tram" "compiler") ("options") general *tram-options* ;; "optional arguments to TRAM cmpiler." ;; chaos-set-tram-options) ("accept" ("=*=" "proof") parity *accept-system-proof* "accept system's automatic proof of congruency of =*=.") ("find" ("all" "rules") parity *find-all-rules* "find rewrite rules for all occurrences of given term in 'find' command.") (:comment "** old switches (obsolete) ----------------------------") ("print" ("fancy") general *fancy-print* "this switch is obsolete. please use `print mode' switch instead." chaos-obsolete-print-fancy) ;; *patch* Tue Nov 4 15:40:26 JST 2003; sawada@sra.co.jp ("tree" ("print") general *print-term-struct* "terms are printed in a form of parse tree. this flag precedes `print s-expr'. NOTE: this switch is obsolete now. please use `print mode' switch instead." chaos-obsolete-print-tree) ;; followings are hidden switches ("fast" ("parse") parity *fast-parse* "if set on, term parser runs faster but produces much less info on error." nil nil t) ("cond" ("limit") general *condition-trial-limit* "maximum number of trials of evaluating rule condition." set-cond-trial-limit nil t) ; this is hidden ("parse" ("normalize") parity *parse-normalize* "if set on, terms with associative operators are always parsed as right assocative." nil nil t) ;; USER DEFINED BOOL ("BOOL" ("=") general *user-bool* "set path of user defined \"BOOL\" module." chaos-set-bool-path) ;; debug flags : invisible from user, internal use only ("no" ("idcomp") parity *no-id-completion* "" nil nil t) ("sys" ("universal-sort") parity *allow-universal-sort* "" nil nil t) ("debug" ("rewrite") parity *rewrite-debug* "" nil nil t) ("debug" ("memo") parity *memo-debug* "" nil nil t) ("debug" ("hash") parity *on-term-hash-debug* "" nil nil t) ("debug" ("axiom") parity *on-axiom-debug* "" nil nil t) ("debug" ("beh") parity *beh-debug* "" nil nil t) ("debug" ("rule") parity *gen-rule-debug* "" nil nil t) ("debug" ("change") parity *on-change-debug* "" nil nil t) ("debug" ("operator") parity *on-operator-debug* "" nil nil t) ("debug" ("sort") parity *on-sort-debug* "" nil nil t) ("debug" ("trs") parity *on-trs-debug* "" nil nil t) ("debug" ("import") parity *on-import-debug* "" nil nil t) ("debug" ("modexp") parity *on-modexp-debug* "" nil nil t) ("debug" ("view") parity *on-view-debug* "" nil nil t) ("debug" ("match") parity *match-debug* "" nil nil t) ("debug" ("dep") parity *module-dep-debug* "" nil nil t) ("debug" ("term") parity *term-debug* "" nil nil t) ("debug" ("parse") parity *on-parse-debug* "" nil nil t) ("debug" ("regularize") parity *regularize-debug* "" nil nil t) ("debug" ("tram") parity *on-tram-debug* "" nil nil t) ("debug" ("mel") parity *mel-debug* "" nil nil t) ("debug" ("exec") parity *cexec-debug* "" nil nil t) ("debug" ("apply") parity *apply-debug* "" nil nil t) ("debug" ("meta") parity *debug-meta* "" nil nil t) ("debug" ("citp") parity *debug-citp* "" nil nil t) ("debug" ("print") parity *debug-print* "" nil nil t) )) (defun set-chaos-switch (which value) (if (equal which "?") (print-set-help) (progn (dolist (sw *chaos-switches*) (block next (let ((dat value) (key (chaos-switch-key sw))) (when (eq key :comment) (return-from next nil)) (when (atom key) (setq key (list key))) ;; match key & subkey (block fail (when (member which key :test #'equal) (let ((opt (chaos-switch-subkey sw))) (if (equal opt (firstn value (length opt))) (setq dat (nthcdr (length opt) value)) (return-from fail nil))) (case (chaos-switch-type sw) (parity (catch 'parity-error (let ((parity (check-parity (car dat)))) (let ((on-proc (chaos-switch-on-proc sw)) (off-proc (chaos-switch-off-proc sw))) (cond ((and parity on-proc) (funcall on-proc)) ((and (null parity) off-proc) (funcall off-proc)) (t (set (chaos-switch-var sw) parity))))) (return-from set-chaos-switch t))) (otherwise ; general value (funcall (chaos-switch-set-proc sw) dat) (return-from set-chaos-switch t)))))))) (with-output-chaos-warning () (format t "unknown switch for `set' command : ~{~^ ~a~}" (cons which value))) nil))) (defun check-parity (x) (if (or (equal "on" x) (equal "yes" x)) t (if (or (equal "off" x) (equal "no" x)) nil (progn (princ "Specify on(yes) or off(no).") (terpri) (throw 'parity-error nil))))) (defun show-modes (flg) (if (eq flg t) (let ((*print-line-limit* 62)) (format t "~%switch~24Tvalue~%--------------------------------------------------------------") (dolist (sw *chaos-switches*) (unless (chaos-switch-hidden sw) (show-mode sw)))) (let ((sw flg)) (if (or (equal sw '(".")) (null sw)) (show-modes t) (let ((which (car flg)) (sub (cdr flg)) (found nil) (cand nil)) (dolist (sw *chaos-switches*) (block next (let ((key (chaos-switch-key sw))) (when (eq key :comment) (return-from next nil)) (when (atom key) (setq key (list key))) (when (member which key :test #'equal) (setq cand sw) (let ((opt (chaos-switch-subkey sw))) (when (equal opt (firstn sub (length opt))) (setq found sw) (setq cand nil) (return))))))) (unless (or found cand) (with-output-chaos-warning () (format t "unknown switch ~a" flg) (return-from show-modes nil))) (if found (show-mode found) (show-mode cand))))))) (defun show-mode (switch) (let ((name (chaos-switch-key switch)) (option (chaos-switch-subkey switch)) (value (symbol-value (chaos-switch-var switch))) (type (chaos-switch-type switch))) (cond ((eq name :comment) (format t "~%~a" (second switch))) ((equal name "libpath") (format t "~%libpath~24T= ~{~a~^:~}" value)) (t (when (atom name) (setq name (list name))) (if (eq type 'parity) (format t "~%~{~a~^|~a~} ~{~^ ~a~} ~24T~:[off~;on~]" name option value) (progn (format t "~%~{~a~^|~a~} ~{~^ ~a~} ~24T= " name option) (if value (print-chaos-object value) (princ "not specified")))))))) (defun print-set-help () (dolist (sw *chaos-switches*) (unless (chaos-switch-hidden sw) (let ((key (chaos-switch-key sw))) (cond ((eq key :comment) (format t "~%~a" (second sw))) (t (when (atom key) (setq key (list key))) (case (chaos-switch-type sw) (parity (format t "~% set ~{~a~^|~a~}~{~^ ~a~} {on|off} : ~a" key (chaos-switch-subkey sw) (chaos-switch-doc sw))) (otherwise (format t "~% set ~{~a~^|~a~}~{~^ ~a~} : ~a" key (chaos-switch-subkey sw) (chaos-switch-doc sw)))))))))) ;;; ;;; Save/Restore Utilities ;;; ******* TODO::::::::::::::::::::::::::::::::::: (defun save-switches (name) name) (defun restore-switches (name) name) (defun save-switch (sw-name to-where) sw-name to-where) (defun restore-switch (sw-name from-where) sw-name from-where) ;;; ;;; some switch setters ;;; (defun chaos-set-search-path (path) (let* ((add (equal "+" (car path))) (minus (equal "-" (car path))) (paths (if (or add minus) (cadr path) (car path)))) (unless paths (with-output-chaos-warning () (format t "No pathnames are specified.") (return-from chaos-set-search-path nil))) (if add (set-search-path-plus paths) (if minus (set-search-path-minus paths) (set-search-path paths))) (pr-search-path))) (defun chaos-set-tram-path (path) (let ((path (car path))) (when (consp path) (setq path (car path))) (setq *tram-path* path) (kill-tram-process))) (defun chaos-set-tram-options (options) (if options (setq *tram-options* (reduce #'(lambda (x y) (concatenate 'string x " " y)) options)) (setq *tram-options* ""))) (defun chaos-set-show-mode (value) (case-equal (car value) ((":meta" ":chaos" "chaos") (setq *show-mode* :chaos)) ((":cafeobj" "cafeobj") (setq *show-mode* :cafeobj)) (otherwise (with-output-chaos-error ('invalid-value) (format t "value must be either `cafeobj' or `meta'"))))) (defun chaos-set-cexec-limit (value) (if (or (null value) (equal value '("."))) (setq *cexec-limit* most-positive-fixnum) (multiple-value-bind (num len) (parse-integer (car value) :junk-allowed t) (if (= len (length (car value))) (setq *cexec-limit* num) (with-output-chaos-error ('invalid-value) (format t "invalid value for exec limit: ~a" (car value)) (print-next) (princ "must be a positive integer.") ))))) (defun chaos-set-print-depth (value) (if (or (null value) (equal value '("."))) (setq *term-print-depth* nil) (multiple-value-bind (num len) (parse-integer (car value) :junk-allowed t) (if (= len (length (car value))) (setq *term-print-depth* num) (with-output-chaos-error ('invalid-value) (format t "invalid value for term print depth: ~a" (car value)) (print-next) (princ "must be a positive integer.")))))) (defun chaos-set-print-mode (value) (case-equal (car value) ((":fancy" "fancy") (setq *print-xmode* :fancy)) ((":tree" "tree") (setq *print-xmode* :tree)) ((":s-expr" "s-expr") (setq *print-xmode* :s-expr)) ((nil ":normal" "normal") (setq *print-xmode* :normal)) (otherwise (with-output-chaos-error ('invalid-value) (format t "invalid value for print mode ~a" (car value)) (print-next) (princ "specify one of `normal' `fancy' `tree' or `s-expr'."))))) (defun chaos-obsolete-print-fancy (value) (declare (ignore value)) (with-output-chaos-warning () (format t "`set print fancy { on | off }' is now obsolete.") (print-next) (format t "please use `set print mode fancy' or `print mode normal'."))) (defun chaos-obsolete-print-tree (value) (declare (ignore value)) (with-output-chaos-warning () (format t "sorry but `set tree print { on | off }' is obsolete now.") (print-next) (format t "please use `set print mode tree' for printing parse tree.") (print-next) (format t "other settings of `print mode' switch are :fancy and :normal."))) ;;; (defun chaos-set-bool-path (path) (let ((path (car path))) (when (consp path) (setq path (car path))) (setq *user-bool* path))) ;;; EOF cafeobj-1.5.4/chaos/tools/show.lisp0000644000000000000000000004474312605345045015736 0ustar rootroot;;;-*- Mode:LISP; Package:CHAOS; Base:10; Syntax:Common-lisp -*- ;;; ;;; Copyright (c) 2000-2015, Toshimi Sawada. All rights reserved. ;;; ;;; Redistribution and use in source and binary forms, with or without ;;; modification, are permitted provided that the following conditions ;;; are met: ;;; ;;; * Redistributions of source code must retain the above copyright ;;; notice, this list of conditions and the following disclaimer. ;;; ;;; * Redistributions in binary form must reproduce the above ;;; copyright notice, this list of conditions and the following ;;; disclaimer in the documentation and/or other materials ;;; provided with the distribution. ;;; ;;; THIS SOFTWARE IS PROVIDED BY THE AUTHOR 'AS IS' AND ANY EXPRESSED ;;; OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED ;;; WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ;;; ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY ;;; DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL ;;; DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE ;;; GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS ;;; INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, ;;; WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING ;;; NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS ;;; SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. ;;; (in-package :chaos) #|============================================================================== System: CHAOS Module: tools File: show.lisp ==============================================================================|# #-:chaos-debug (declaim (optimize (speed 3) (safety 0) #-GCL (debug 0))) #+:chaos-debug (declaim (optimize (speed 1) (safety 3) #-GCL (debug 3))) ;;;----------------------------------------------------------------------------- ;;; SHOW commands handlers ;;;----------------------------------------------------------------------------- ;;; ************ ;;; SHOW CONTEXT ;;; ************ (defun show-context (toks) (let ((mod (eval-mod-ext toks))) (unless mod (with-output-msg () (princ "no current context, `select' some module first.")) (return-from show-context nil)) (if (eq (get-context-module t) mod) (format t "~%-- current context :") (progn (format t "~%-- context of : ") (print-chaos-object mod))) (context-push-and-move (get-context-module t) mod) (with-in-module (mod) (format t "~%[module] ") (print-chaos-object *current-module*) (format t "~&[special bindings]") (when (and $$term (not (eq $$term 'void))) (unless (check-$$term-context *current-module*) (format t "~&*Notice* : term and selected subterm are not valid in the current context."))) (let ((*print-indent* (+ *print-indent* 2))) (print-next) (princ "$$term = ") (if (and $$term (not (eq $$term 'void))) (show-term $$term nil) (princ "none.")) (print-next) (show-apply-selection *current-module*) (show-bindings *current-module*) (show-selection-stack *current-module*) (print-pending *current-module*) (show-stop-pattern *current-module*) ;; (when *proof-tree* (pr-ptree *proof-tree*)) )) (context-pop-and-recover))) ;;; SHOW BINDINGS (defun show-bindings (&optional (module (get-context-module))) (with-in-module (module) (let ((bindings (module-bindings *current-module*))) (format t "~&[bindings] ") (if bindings (dolist (bind bindings) (print-next) (format t "~a = " (car bind)) (term-print (cdr bind))) (princ "empty."))))) ;;: show stop pattern (defun show-stop-pattern (&rest ignore) (declare (ignore ignore)) (format t "~&[stop pattern] ") (if *rewrite-stop-pattern* (let ((*fancy-print* nil) (*print-with-sort* t)) (term-print *rewrite-stop-pattern*)) (princ "not specified."))) ;;; show apply selection (defun show-apply-selection (&optional (module (get-context-module))) (declare (ignore module)) ; TODO (when $$term-context (with-in-module ($$term-context) (format t "$$subterm = ") (unless $$subterm (format t "no subterm selection is made by `choose'.") (return-from show-apply-selection nil)) (if (term-eq $$term $$subterm) (format t " $$term") (show-term $$subterm nil))))) ;;; show selection stack (defun show-selection-stack (&optional ignore) (declare (ignore ignore)) (format t "~&[selections] ") (if (null $$selection-stack) (format t " empty.") (let ((depth 1)) (terpri) (dolist (selection $$selection-stack) (dotimes (i (1- depth)) (princ " ")) (format t "~3d| " depth) (print-simple-princ-flat selection) (terpri) (incf depth))))) ;;; ;;; print-pending ;;; (defun print-pending (&optional (module (get-context-module))) (with-in-module (module) (format t"~&[pending actions] ") (if (null $$action-stack) (format t " none.") (let ((depth 1)) (terpri) (dolist (dact (reverse $$action-stack)) (dotimes (i (- depth 1)) (princ " ")) (format t "~3d| in " depth) (term-print (nth 0 dact)) (princ " at ") (if (term-eq (nth 0 dact) (nth 1 dact)) (princ "top") (term-print (nth 1 dact))) (terpri) (dotimes (i depth) (princ " ")) (princ "| rule ") (print-axiom-brief (nth 2 dact)) (terpri) (dotimes (i depth) (princ " ")) (princ "| condition ") (term-print (nth 3 dact)) (princ " replacement ") (term-print (nth 4 dact)) (terpri) (incf depth) ))))) ;;; ************** ;;; SHOW TERM .... ;;; ************** (defun show-term (target tree?) (when (and tree? (not (equal tree? ".")) (not (equal tree? "tree")) (not (equal tree? "graph"))) (with-output-chaos-warning () (format t "unknown option for `show term' : ~a" tree?)) (return-from show-term nil)) (unless (get-context-module t) (with-output-msg () (princ "no current context, `select' some module first.") (return-from show-term nil))) (unless target (setq target "$$term")) (with-in-module ((get-context-module)) (when (stringp target) ;; let variable (catch 'term-context-error (let ((val (get-bound-value target))) (unless val (with-output-msg () (format t "current module has no let binding for \"~a\"" target) (return-from show-term nil))) (setq target val)))) (when (stringp target) ;; cought context error (return-from show-term nil)) (let ((*fancy-print* nil) (*print-indent* (+ *print-indent* 4))) (if (and $$term-context (not (check-$$term-context *current-module*))) (with-in-module ($$term-context) (format t "~%** temporarily changing current context to ") (print-simple-mod-name $$term-context) (print-next) (term-print-with-sort target)) (progn (print-next) (term-print-with-sort target))) ;; (terpri) (when (equal tree? "tree") (print-term-tree target *chaos-verbose*)) (when (equal tree? "graph") (print-term-graph target *chaos-verbose*))))) ;;; ************ ;;; SHOW MOD ... ;;; ************ (defun print-mod (toks &optional (desc nil)) (let ((mod (if (not (equal "tree" (car toks))) toks (cdr toks))) (tree (equal (car toks) "tree"))) (let ((modval (eval-mod-ext mod))) (when modval (if tree (if desc (describe-module-graph (module-dag modval)) (print-module-graph modval)) (if desc (describe-module modval) (show-module modval))))))) ;;; ************* ;;; SHOW VIEW ... ;;; ************* (defun show-view (toks &optional (desc nil)) (declare (ignore desc)) (let ((view (find-view-in-env (normalize-modexp (car toks))))) (if view (print-view view *standard-output* nil nil) (with-output-chaos-error ('no-such-view) (format t "no such view : ~a" (car toks)) )))) ;;; ********** ;;; SHOW SORTS ;;; ********** (defun show-sorts (toks &optional (desc nil) (all nil)) (let ((mod (if (not (equal "tree" (car toks))) toks (cdr toks))) (tree (equal (car toks) "tree"))) (let ((modval (eval-mod-ext mod))) (when modval (if tree (print-module-sort-graph modval) (print-module-sorts modval desc all)))))) ;;; ******** ;;; SHOW OPS ;;; ******** (defun show-ops (toks &optional (desc nil)(all nil)) (print-module-ops (eval-mod-ext toks) desc all)) ;;; ********* ;;; SHOW SIGN ;;; ********* (defun show-sign (toks &optional (desc nil) (all nil)) (let ((mod (eval-mod-ext toks))) (print-module-sorts mod desc all) (print-module-ops mod desc all))) ;;; ********* ;;; SHOW VARS ;;; ********* (defun print-vars (toks &optional (desc nil)) (print-module-variables (eval-mod-ext toks) desc)) ;;; ********* ;;; SHOW EQNS ;;; ********* (defun print-eqs (toks &optional (desc nil)) (let ((mod (eval-mod-ext toks))) (!setup-reduction mod) (print-module-eqs mod desc))) ;;; *********** ;;; SHOW AXIOMS ;;; *********** (defun print-axs (toks &optional (desc nil)) (let ((mod (eval-mod-ext toks))) (!setup-reduction mod) (print-module-axs mod desc))) ;;; ******** ;;; SHOW RLS ;;; ******** (defun print-rls (toks &optional (desc nil)) (let ((mod (eval-mod-ext toks))) (!setup-reduction mod) (print-module-rls mod desc))) ;;; ********** ;;; SHOW RULES ;;; ********** (defun print-rules (toks &optional (desc nil)) (declare (ignore desc)) (let ((mod (eval-mod-ext toks)) (i 1)) (with-in-module (mod) (!setup-reduction mod) (format t "~% -- rewrite rules in module : ") (print-simple-mod-name mod) (dolist (r (get-module-axioms mod t)) (format t "~&~3D : " i) (print-axiom-brief r) (incf i)) ))) ;;; ********* ;;; SHOW SUBS ;;; ********* (defun print-subs (toks &optional (desc nil)) (print-module-submodules (eval-mod-ext toks) desc)) ;;; ********** ;;; SHOW PRAMS ;;; ********** (defun print-params (toks &optional (desc nil)) (print-module-parameters (eval-mod-ext toks) *standard-output* desc)) (defun top-print-name (toks) (let ((mod (eval-mod-ext toks))) (print-chaos-object mod) (when (print-merged mod) (princ " ** opening")) (terpri))) #| (defun print-abbrev-name (toks) (let ((mod (eval-mod-ext toks))) (let ((num (print$mod-num mod))) (if (= 0 num) (princ "(...)") (progn (princ "MOD") (prin1 num)) ) (princ " is ") (let ((*print-abbrev-mod* nil)) (print-mod-name mod)) (terpri)))) |# ;;; ** TODO *** (defun print-principal-sort (toks) (let ((mod (eval-mod-ext toks))) (let ((*current-module* mod)) (print-sort-name (module-principal-sort mod) mod) (terpri) ))) ;;; ********* ;;; SHOW SORT ;;; ********* (defun show-sort (toks &optional (desc nil)) (declare (ignore desc)) (let* ((tree? (equal (car toks) "tree")) (sort (if tree? (cdr toks) toks)) (mod nil)) (multiple-value-bind (sort-n modexp) (check-qualified-sort-name sort) (cond (modexp (setq mod (eval-modexp modexp)) (unless (module-p mod) (with-output-msg () (format t "no such module ~a" modexp) (return-from show-sort nil)))) (t (setq mod (get-context-module)))) (with-in-module (mod) (let ((srt (find-sort-in mod sort-n))) (if srt (if tree? (print-sort-graph srt) (describe-sort srt)) (with-output-msg () (format t "no such sort ~a" sort-n)))))))) ;;; ******* ;;; SHOW OP ;;; ******* (defun parse-op-name (tokens) (let ((res nil)) (if tokens (progn (when (and (null (cdr tokens)) (stringp (car tokens))) (setq tokens (read-opname-from-string (car tokens)))) (let ((*modexp-parse-input* tokens)) (let ((val (parse-operator-reference nil))) (when *on-modexp-debug* (format t "[parse-op-name] *modexp... = ~s" *modexp-parse-input*)) (when (or (null *modexp-parse-input*) (and (null (cdr *modexp-parse-input*)) (equal "." (car *modexp-parse-input*)))) (setq res val)) res))) nil))) (defun get-module-from-opref (parsedop) (let ((mod nil)) (cond ((%opref-module parsedop) (setq mod (%opref-module parsedop)) (unless (module-p mod) (setq mod (eval-modexp (%opref-module parsedop))) (unless (module-p mod) (with-output-chaos-error ('no-such-module) (princ "resolving operator reference ") (print-ast parsedop) (print-next) (princ "no such module ") (princ (%opref-module parsedop)))))) (t (setq mod (get-context-module)))) mod)) (defun resolve-operator-reference (opref &optional (no-error nil)) (let ((mod (get-module-from-opref opref))) (!setup-reduction mod) (with-in-module (mod) (let* ((name (%opref-name opref)) (ops (find-all-qual-operators-in mod name))) (unless ops (when (equal "." (car (last name))) (setq name (butlast name)) (setq ops (find-all-qual-operators-in mod name)))) (unless ops (if no-error (with-output-simple-msg () (format t "no such operator: ~a " name) (return-from resolve-operator-reference (values nil mod))) (with-output-chaos-error ('no-such-op) (format t "no such operator: ~a" name)))) (values ops mod))))) (defun show-op (toks &optional (desc nil)) (let ((parsedop (parse-op-name toks))) (multiple-value-bind (ops mod) (resolve-operator-reference parsedop t) (with-in-module (mod) (dolist (op ops) (if desc (describe-operator op) (describe-operator-brief op))))))) ;;; ******** ;;; SHOW SUB ;;; ******** (defun show-sub (toks no &optional describe) (let* ((mod (eval-mod-ext toks)) (sub (nth-sub no mod))) (if sub (progn (with-in-module (sub) (if describe (describe-module sub) (show-module sub)) (terpri))) (with-output-msg () (princ "no such sub-module"))) )) ;;; *********** ;;; SHOW PARAM ;;; *********** (defun show-param (toks no &optional describe) (let ((mod (if toks (eval-mod-ext toks) (get-context-module)))) (when (modexp-is-error mod) (with-output-chaos-error ('invalid-modexp) (format t "Invalid module expression: ~s" toks))) (let ((param (find-parameterized-submodule no mod))) (if (and param (not (modexp-is-error param))) (progn (with-in-module (param) (if describe (describe-module param) (show-module param))) (terpri)) (with-output-msg () (if (null (module-parameters mod)) (princ "module has no parameters.") (format t "no such parameter ~a" (if (integerp no) (1+ no) no)))))))) ;;; ************ ;;; SHOW MODULES ;;; ************ (defun print-modules (x) (declare (ignore x)) (let ((*print-indent-contin* nil) (*print-line-limit* 80) (mods nil)) (dolist (entry *modules-so-far-table*) (let ((m (cdr entry))) (cond ((or (module-hidden m) (module-is-parameter-theory m)) (when (or *on-debug* *chaos-verbose*) (push m mods))) (t (unless (equal (module-name m) "%") (push m mods)))))) ;; (dolist (m (sort mods #'ob< :key #'(lambda (x) (let ((name (module-name x))) (if (atom name) name (car name)))))) (print-check) (when (< 0 (filecol *standard-output*)) (princ " ")) ;; (print-modexp-simple m) (print-mod-name m *standard-output* t t) (print-check)) (fresh-line))) ;;; ********** ;;; SHOW VIEWS ;;; ********** (defun print-views (x) (declare (ignore x)) (let ((*print-indent-contin* nil)) #|| (maphash #'(lambda (key m) (declare (ignore m)) (print-check) (when (< 0 (filecol *standard-output*)) (princ " ")) (princ key) (print-check)) *modexp-view-table*) ||# (dolist (entry *modexp-view-table*) (let ((key (car entry))) (print-check) (when (< 0 (filecol *standard-output*)) (princ " ")) (princ key) (print-check))) )) ;;; ;;; MEMO TABLE ;;; (defun show-term-memo-table () (unless *memoized-module* (return-from show-term-memo-table nil)) (with-in-module (*memoized-module*) (format t "** terms in memo table of module ") (print-mod-name *memoized-module*) (dump-term-hash *term-memo-table*))) ;;; ;;; print-term-horizontal ;;; (defun print-term-horizontal (term module &optional (stream *standard-output*)) (with-in-module (module) (let ((*standard-output* stream)) (print-next) (cond ((term-is-applform? term) (format t "~{~a~}" (method-symbol (term-head term))) (dotimes (x (length (term-subterms term))) (let ((*print-indent* (+ 4 *print-indent*))) (print-term-horizontal (term-arg-n term x) module)))) ((term-is-builtin-constant? term) (term-print term)) (t (print-chaos-object term)))))) ;;; EOF cafeobj-1.5.4/chaos/tools/sort-tree.lisp0000644000000000000000000001331512605345045016671 0ustar rootroot;;;-*- Mode:LISP; Package:CHAOS; Base:10; Syntax:Common-lisp -*- ;;; ;;; Copyright (c) 2000-2015, Toshimi Sawada. All rights reserved. ;;; ;;; Redistribution and use in source and binary forms, with or without ;;; modification, are permitted provided that the following conditions ;;; are met: ;;; ;;; * Redistributions of source code must retain the above copyright ;;; notice, this list of conditions and the following disclaimer. ;;; ;;; * Redistributions in binary form must reproduce the above ;;; copyright notice, this list of conditions and the following ;;; disclaimer in the documentation and/or other materials ;;; provided with the distribution. ;;; ;;; THIS SOFTWARE IS PROVIDED BY THE AUTHOR 'AS IS' AND ANY EXPRESSED ;;; OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED ;;; WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ;;; ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY ;;; DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL ;;; DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE ;;; GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS ;;; INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, ;;; WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING ;;; NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS ;;; SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. ;;; (in-package :chaos) #|============================================================================== System: CHAOS Module: tools File: sort-tree.lisp ==============================================================================|# #-:chaos-debug (declaim (optimize (speed 3) (safety 0) #-GCL (debug 0))) #+:chaos-debug (declaim (optimize (speed 1) (safety 3) #-GCL (debug 3))) (defun make-module-sort-tree (mod) (prepare-for-parsing mod) (let* ((sorder (module-sort-order mod)) (kinds (get-kinds sorder)) (sls (module-sort-relations mod))) (labels ((make-tree (s) (let ((sl (assq s sls))) (if sl (cons s (mapcar #'(lambda (x) (make-tree x)) (maximal-sorts (_subsorts sl) sorder))) (list s))))) (mapc #'(lambda (k) (setf (cdr k) (maximal-sorts (cdr k) sorder))) kinds) (mapc #'(lambda (k) (setf (cdr k) (mapcar #'(lambda (x) (make-tree x)) (cdr k)))) kinds) kinds))) (defun make-sort-tree (sort &optional (mod (get-object-context sort))) (let* ((so (module-sort-order mod)) (kind (the-err-sort sort so)) (sls (module-sort-relations mod)) (fam (maximal-sorts (get-family kind so) so))) (labels ((make-tree (s) (let ((sl (assq s sls))) (if sl (cons s (mapcar #'(lambda (x) (make-tree x)) (maximal-sorts (_subsorts sl) so))) (list s))))) (cons kind (mapcar #'(lambda (x) (make-tree x)) fam))))) ;;; PRINT-SORT-TREE (defun print-sort-tree (sort &optional (stream *standard-output*) (mod (get-object-context sort))) (!print-sort-tree sort stream mod nil)) (defun print-sort-graph (sort &optional (stream *standard-output*) (mod (get-object-context sort))) (!print-sort-tree sort stream mod t)) (defun !print-sort-tree (sort stream mod show-as-graph) (let* ((leaf? #'(lambda (tree) (null (cdr tree)))) (leaf-name #'(lambda (tree) (with-output-to-string (str) (print-sort-name (car tree) mod str) str))) (leaf-info #'(lambda (tree) (declare (ignore tree)) t)) (int-node-name #'(lambda (tree) (funcall leaf-name tree))) (int-node-children #'(lambda (tree) (cdr tree)))) (force-output stream) (print-next nil *print-indent* stream) (print-trees (list (if show-as-graph (augment-tree-as-graph (make-sort-tree sort mod)) (augment-tree (make-sort-tree sort mod)))) stream))) ;;; PRINT-MODULE-SORT-TREE (defun print-module-sort-tree (&optional (mod (get-context-module)) (stream *standard-output*)) (!print-module-sort-tree mod stream nil)) (defun print-module-sort-graph (&optional (mod (get-context-module)) (stream *standard-output*)) (!print-module-sort-tree mod stream t)) (defun !print-module-sort-tree (mod stream show-as-graph) (let* ((leaf? #'(lambda (tree) (null (cdr tree)))) (leaf-name #'(lambda (tree) (with-output-to-string (str) (print-sort-name (car tree) mod str) str))) (leaf-info #'(lambda (tree) (declare (ignore tree)) t)) (int-node-name #'(lambda (tree) (funcall leaf-name tree))) (int-node-children #'(lambda (tree) (cdr tree)))) (dolist (tree (make-module-sort-tree mod)) (force-output stream) (print-next nil *print-indent* stream) (princ "------------------------------------------------------------") (print-next nil *print-indent* stream) (print-trees (list (if show-as-graph (augment-tree-as-graph tree) (augment-tree tree))) stream)))) ;;; EOF cafeobj-1.5.4/chaos/tram/0000755000000000000000000000000012605345045013654 5ustar rootrootcafeobj-1.5.4/chaos/tram/tram.lisp0000644000000000000000000007431512605345045015522 0ustar rootroot;;;-*-Mode:LISP; Package: CHAOS; Base:10; Syntax:Common-lisp -*- ;;; ;;; Copyright (c) 2000-2015, Toshimi Sawada. All rights reserved. ;;; ;;; Redistribution and use in source and binary forms, with or without ;;; modification, are permitted provided that the following conditions ;;; are met: ;;; ;;; * Redistributions of source code must retain the above copyright ;;; notice, this list of conditions and the following disclaimer. ;;; ;;; * Redistributions in binary form must reproduce the above ;;; copyright notice, this list of conditions and the following ;;; disclaimer in the documentation and/or other materials ;;; provided with the distribution. ;;; ;;; THIS SOFTWARE IS PROVIDED BY THE AUTHOR 'AS IS' AND ANY EXPRESSED ;;; OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED ;;; WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ;;; ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY ;;; DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL ;;; DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE ;;; GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS ;;; INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, ;;; WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING ;;; NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS ;;; SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. ;;; (in-package :chaos) #|============================================================================= System:CHAOS Module:tram File:tram.lisp =============================================================================|# #-:chaos-debug (declaim (optimize (speed 3) (safety 1) #-GCL (debug 1))) #+:chaos-debug (declaim (optimize (speed 1) (safety 3) #-GCL (debug 3))) #+:allegro (declaim (optimize (speed 1) (safety 3))) ;;; TRAM INTERFACE ============================================================ (defvar *tram-last-module* nil) ;;; ****************** ;;; INTERPROCESS COMM. ________________________________________________ ;;; ****************** (declaim (special *tram-process*)) (defvar *tram-process* nil) ; pair (in-stream . out-stream) ;;; debug flags ;;; (defvar *on-tram-debug* nil) (defun on-tram-debug () (setq *on-tram-debug* t)) (defun off-tram-debug () (setq *tram-process* nil) (setq *on-tram-debug* nil)) ;;; (defvar *tram_in_file* nil) (defvar *tram_out_file* nil) (defun run-tram-process-if-need () (unless *tram-process* (run-tram-process))) #+:GCL (defun get-process-id () (si::getpid)) #+:CMU (defun get-process-id () (unix::unix-getpid)) #+(or :Excl :allegro) (defun get-process-id () (random (get-universal-time))) #+:CLISP (defun get-process-id () (random (get-universal-time))) #-(or :GCL :CMU :Excl :allegro CLISP) (defun get-process-id () ()) (defun tram-get-id (prefix) (concatenate 'string (the simple-string (string prefix)) (the simple-string (format nil "~d" (get-process-id))))) (defun run-tram-process () (declare (optimize (safety 2) #-GCL (debug 2))) ;; (when *tram-process* (kill-tram-process)) (setq *tram-process* nil) ;; (when *on-tram-debug* (setq *tram-process* (cons *standard-input* *standard-output*)) (return-from run-tram-process t)) (let ((in-file (tram-get-id "/tmp/from-tram")) (out-file (tram-get-id "/tmp/to-tram")) (in-stream nil) (out-stream nil)) ;; invoke compiler ;; *tram-path* : path to tram compiler ;; set by `set tram path' command, default "tram". ;; *tram-options* : other optional arguments ;; set by `set tram options', default "". (unless #+:GCL (zerop (si::system (concatenate 'string *tram-path* " " *tram-options* (format nil " -server ~a ~a" out-file in-file)))) #+:CMU (ext:run-program *tram-path* (if (equal *tram-options* "") (list "-server" out-file in-file) (list "-server" out-file in-file *tram-options* )) :input t :output t ) #+(or :EXCL :allegro) (zerop (excl:shell (concatenate 'string *tram-path* " " *tram-options* (format nil " -server ~a ~a" out-file in-file)))) #+CLISP (null (ext::shell (concatenate 'string *tram-path* " " *tram-options* (format nil " -server ~a ~a" out-file in-file)))) #+MCL nil ;; (with-output-chaos-error ('tram-fail) (format t "failed to invoke TRAM compiler") (when (get-context-module) (context-pop-and-recover)))) ;; (setq *tram_in_file* in-file *tram_out_file* out-file) ;; try open streams (setq out-stream (open out-file :direction :output :if-does-not-exist nil :if-exists :overwrite)) (setq in-stream (open in-file :direction :input :if-does-not-exist nil)) ;; ;; (unless (and in-stream out-stream) (with-output-chaos-error ('tram-fail) (format t "failed to open TRAM I/O streams") (when (get-context-module) (context-pop-and-recover)))) (setq *tram-process* (cons in-stream out-stream)))) (defun kill-tram-process () (setq *tram-last-module* nil) (if *on-tram-debug* (setq *tram-process* nil) ;; this will terminate TRAM compiler (I hope). (progn (unless (eq (car *tram-process*) *standard-input*) (when (car *tram-process*) (close (car *tram-process*)))) (unless (eq (cdr *tram-process*) *standard-output*) (when (cdr *tram-process*) (close (cdr *tram-process*)))) (setq *tram-process* nil)))) ;;; ;;; body is executed with *standard-output* bound to output stream. ;;; (defmacro with-output-to-tram ((proc) &body body) ` (let ((*standard-output* (cdr ,proc))) (prog1 (progn ,@body) (force-output *standard-output*)))) ;;; send simple string then wait the answer. ;;; used for `compile', `reduce'. (defparameter tram-eof-value :tram-eof) (defmacro tram-send-and-wait (tram send-form) ` (progn (princ ,send-form (cdr ,tram)) (terpri (cdr ,tram)) (force-output (cdr ,tram)) (wait-tram-answer ,tram) )) (defun wait-tram-answer (&optional (tram *tram-process*)) (when *on-tram-debug* (fresh-line) (princ "INPUT TRAM ANSWER> ") (force-output) (return-from wait-tram-answer (read))) ;; (let ((res nil) (limit 120)) ; 120 sec would be enough. (declare (ignore limit)) #|| ;; wait untill some input comes (loop ;; `listen' could be used here, but I'm not sure that ;; GCL recognizes named pipes are interactive streams... (sleep 1) (decf limit) (when (<= limit 0) (return-from wait-tram-answer nil)) ;; (let ((val (peek-char nil (car tram) nil tram-eof-value))) (unless (eq val tram-eof-value) (return nil)))) ;; ||# (setq res (read (car tram) nil tram-eof-value)) (if (eq res tram-eof-value) nil res))) ;;; -------- ;;; BUILT-IN ;;; -------- ;;; ---- ;;; TERM ;;; ---- (defun trs-term-to-tram-term (term) (if term (case (trs-term-type term) (:var (trs-term-head term)) (:builtin-value term) (:lisp term) (:glisp term) (:op (cons (trs-term-head term) (mapcar #'(lambda (sub) (trs-term-to-tram-term sub)) (trs-term-subterms term))))) nil)) ;;; (defun tram-term-to-chaos (trs tram-term) (let ((res nil)) (with-in-module ((trs$module trs)) (cond ((consp tram-term) (case (car tram-term) (:builtin-value ; built-in constant (make-bconst-term (map-trs-sort-to-chaos (third tram-term) trs) (second tram-term))) (otherwise ;; application form (let ((op-name (car tram-term))) (let ((hd (trs-rev-op-name op-name trs)) (*consider-object* nil) (subs nil)) (dolist (s (cdr tram-term)) (push (tram-term-to-chaos trs s) subs)) (setq res (make-applform-simple (method-coarity hd) hd (nreverse subs))) (update-lowest-parse res) res))))) (t (with-output-panic-message () (format t "Unkonwn TRAM term ~s is returned.~ ~% This can happen if signature is not regular..." tram-term) (when (get-context-module) (context-pop-and-recover)) (chaos-error 'tram-panic))))))) ;;; construct token sequence of term tram-term in a form ;;; suitable for parsing in Chaos term parser. ;;; (defun tram-make-term-tok-seq (trs tram-term) (with-in-module ((trs$module trs)) (re-make-tram-tok-seq trs tram-term))) (defun re-make-tram-tok-seq (trs tram-term) ;; we assume terms of list forms are operator application form, ;; atoms are builtin constants. (let ((res nil)) (cond ((consp tram-term) ;; application form (let ((op-name (car tram-term))) (let ((hd (trs-rev-op-name op-name trs)) (op nil)) (setq op (method-operator hd)) (cond ((not (operator-is-mixfix op)) (let ((subs (cdr tram-term))) (dolist (sym (operator-symbol op)) (push (string sym) res)) (if subs (progn (push "(" res) (let ((flg nil)) (dolist (i subs) (if flg (push "," res) (setq flg t)) (dolist (s (re-make-tram-tok-seq trs i)) (push s res))) (push ")" res)) #|| (setq res (nconc (nreverse res) (flatten-list (nreverse args)) (list ")"))) ||# (setq res (nreverse res))) res))) (t (let ((subs (cdr tram-term))) (push "(" res) (dolist (i (operator-token-sequence op)) ;; (when prv (push " " res)) ;; (setq prv t) (cond ((eq i t) (dolist (s (re-make-tram-tok-seq trs (car subs))) (push s res)) (setq subs (cdr subs))) (t (push i res)))) (push ")" res) (nreverse res))))))) (t tram-term)))) ;;; construct form of term as string ;;; (defun tram-re-make-term-form (trs tram-term) (with-in-module ((trs$module trs)) (with-output-to-string (str) (let ((*standard-output* str)) (re-print-tram-term trs tram-term) str)))) (defun re-print-tram-term (trs tram-term) ;; we assume terms of list forms are operator application form, ;; atoms are builtin constants. (cond ((consp tram-term) ;; application form (let ((op-name (car tram-term))) (let ((hd (trs-rev-op-name op-name trs)) (op nil)) (setq op (method-operator hd)) (cond ((not (operator-is-mixfix op)) (let ((subs (cdr tram-term))) (format t "~{~a~^ ~}" (operator-symbol op)) (when subs (princ "(") (let ((flg nil)) (dolist (i subs) (if flg (princ ",") (setq flg t)) (re-print-tram-term trs i))) (princ ")")))) (t (let ((subs (cdr tram-term)) (prv nil)) (princ "(") (dolist (i (operator-token-sequence op)) (if (null prv) (setq prv t) (princ " ")) (cond ((eq i t) (re-print-tram-term trs (car subs)) (setq subs (cdr subs))) (t (princ i)))) (princ ")"))))))) (t (princ tram-term)))) ;;; ------ ;;; AXIOMS ;;;------- ;;; ;;; MAKE-TRAM-RULES ;;; (defun make-tram-rules (trs &optional all) (let ((rules nil) (mod (trs$module trs)) (*module-all-rules-every* t)) (declare (special *module-all-rules-every*)) (with-in-module (mod) (let ((own-axs (module-own-axioms-ordered mod nil)) (imp-axs (module-imported-axioms mod nil))) (dolist (x own-axs) (when (or (memq (axiom-type x) '(:equation :pignose-axiom :pignose-goal)) all) (let ((rule (make-tram-rule x trs))) (when rule (push rule rules))))) (dolist (x imp-axs) (when (or (memq (axiom-type x) '(:equation :pignose-axiom :pignose-goal)) all) (let ((rule (make-tram-rule x trs))) (when rule (push rule rules))))))) (nreverse rules))) (defvar *tram-inhibit-rwl-predicates* nil) (defun make-tram-rule (ax trs) (when (rule-is-builtin ax) (return-from make-tram-rule nil)) (unless (term-is-applform? (axiom-lhs ax)) (return-from make-tram-rule nil)) (let ((lhs-top (term-head (axiom-lhs ax)))) #|| (when (memq (method-module lhs-top) *tram-builtin-modules*) (return-from make-tram-rule nil)) (when (or (eq lhs-top *bool-if*) (eq lhs-top *bool-equal*) (eq lhs-top *beh-eq-pred*) (eq lhs-top *bool-nonequal*) (when *tram-inhibit-rwl-predicates* (or (eq lhs-top *rwl-predicate*) (eq lhs-top *rwl-predicate2*))) ) (return-from make-tram-rule nil)) ||# ;; NAT INT, STRING etc... (let ((rhs (axiom-rhs ax))) (when (term-is-lisp-form? rhs) (return-from make-tram-rule nil))) (when (eq lhs-top *bool-if*) (return-from make-tram-rule nil)) ;; ;; (when (eq lhs-top *rwl-predicate*) (when (some #'(lambda (x) (or (sort= x *cosmos*) (sort= x *universal-sort*) (sort= x *huniversal-sort*))) (mapcar #'(lambda (x) (term-sort x)) (term-subterms (axiom-lhs ax)))) (return-from make-tram-rule nil))) ;; (trs-rule-to-tram-rule (get-trs-axiom ax trs)))) (defun trs-rule-to-tram-rule (rule) (let ((lhs (trs-term-to-tram-term (trs-axiom-lhs rule))) (rhs (trs-term-to-tram-term (trs-axiom-rhs rule))) (cond (trs-term-to-tram-term (trs-axiom-condition rule))) (vars (mapcar #'(lambda (x) (list (trs-term-head x) (trs-term-sort x))) (trs-term-variables (trs-axiom-lhs rule))))) (list* vars lhs rhs (if cond (list `((,cond (|true/0|)))) nil)) )) (defun tram-make-sem-axioms (trs) (let ((axs nil)) (dolist (x (trs$sem-axioms trs)) (let ((ax (trs-rule-to-tram-rule (get-trs-axiom x trs)))) (when ax (push ax axs)))) (nreverse axs))) (defun make-tram-term (term trs) (cond ((term-is-variable? term) (variable-name term)) ((term-is-builtin-constant? term) (list ':builtin-value (term-builtin-value term) (map-chaos-sort-to-trs-or-panic (term-sort term) trs))) ((term-is-simple-lisp-form? term) (list ':lisp (lisp-form-original-form term))) ((term-is-general-lisp-form? term) (list ':glisp (lisp-form-original-form term))) ((term-is-application-form? term) (let ((head (term-head term))) (let ((name (map-chaos-op-to-trs head trs))) (unless name (break "PANIC!!!!!!!! ~s" (method-symbol head)) ) ; this should not happen. ;; (cons name (mapcar #'(lambda (sub) (make-tram-term sub trs)) (term-subterms term)))))))) ;;;***************************************************************************** ;;; BUILT-IN-OPERATORS ;;;----------------------------------------------------------------------------- (defparameter tram-bool-sort-name (make-trs-sort-name *bool-sort*)) (defun tram-?bool-sort-name (so) (make-trs-sort-name (the-err-sort *bool-sort* so))) (defparameter tram-sort-id-sort-name (make-trs-sort-name *sort-id-sort*)) (defun tram-?sort-id-sort-name (so) (make-trs-sort-name (the-err-sort *sort-id-sort* so))) ;;; --------------- ;;; if-then-else-fi ;;; --------------- (defparameter tram-if-then-else-op-template `(|if_then_else_fi| (dummy sort sort) sort (1 0))) ;;;-------------------------- ;;; sort membership predicate ;;; _:_ ;;;-------------------------- (defparameter tram-sort-memb-op-template `(|_:is_| (sort ,tram-sort-id-sort-name) ,tram-bool-sort-name (1 2 0)) ;; `(|_:_| (sort ,tram-sort-id-sort-name) ,tram-bool-sort-name (1 2 0)) ) ;;; ------------------ ;;; SEMANTIC-RELATIONS ;;; ------------------ (defparameter tram-equal-op-template `(|_==_| (sort sort) ,tram-bool-sort-name (1 2 0))) (defparameter tram-nequal-op-template `(|_=/=_| (sort sort) ,tram-bool-sort-name (1 2 0))) (defparameter tram-bequal-op-template `(|_=b=_| (sort sort) ,tram-bool-sort-name (1 2 0))) (defparameter tram-rwl-trans-op-template `(|_==>_| (sort sort) ,tram-bool-sort-name (1 2 0))) (defparameter tram-rwl-aux-trans-op-template `(|_=\\(_\\)=>_| (sort |?Nat*.RWL| sort) ,tram-bool-sort-name (2 0))) ;;; ------ ;;; EQUALS ;;; ------ (defparameter xif-op-template `(|!if| (,tram-bool-sort-name) ,tram-bool-sort-name (1 0))) (defparameter eq-op-template `(|==-aux| (sort sort) ,tram-bool-sort-name (1 2 0))) (defparameter neq-op-template `(|=/=-aux| (sort sort) ,tram-bool-sort-name (1 2 0))) ;;; ;;; MAKE BUILT-IN OPERATORS ;;; (defun tram-make-built-in-operators (trs) (let* ((error-sorts (get-trs-error-sorts trs)) (mod (trs$module trs)) (so (module-sort-order mod)) (rwl? (or (eq mod *rwl-module*) (module-includes-rwl mod))) (ops nil)) ;; !if (push (copy-tree xif-op-template) ops) #|| redundant, only error operators are enougth. ;; if-then-else-fi for ordinal top sorts (dolist (sort (get-trs-top-sorts trs)) (let ((if-then-op (copy-tree tram-if-then-else-op-template)) (sort-name (map-chaos-sort-to-trs-or-panic sort trs))) (setf (second if-then-op) (list (tram-?bool-sort-name so) sort-name sort-name)) (setf (third if-then-op) sort-name) (push if-then-op ops))) ||# ;; internal equality procs. (dolist (sort error-sorts ops) (let* ((if-then-op (copy-tree tram-if-then-else-op-template)) (sort-memb-op (copy-tree tram-sort-memb-op-template)) (equal-op (copy-tree tram-equal-op-template)) (nequal-op (copy-tree tram-nequal-op-template)) (bequal-op (if (sort-is-hidden sort) (copy-tree tram-bequal-op-template) nil)) (trans-op (if rwl? (copy-tree tram-rwl-trans-op-template) nil)) (trans-aux-op (if rwl? (copy-tree tram-rwl-aux-trans-op-template) nil)) (eq-aux-op (copy-tree eq-op-template)) (neq-aux-op (copy-tree neq-op-template)) (sort-name (map-chaos-sort-to-trs-or-panic sort trs))) ;; if-then-else-fi (setf (second if-then-op) (list (tram-?bool-sort-name so) sort-name sort-name) (third if-then-op) sort-name) (push if-then-op ops) ;; sort membership; must consider renaming of builtin sorts ;; TODO. (setf (second sort-memb-op) (list sort-name tram-sort-id-sort-name)) (push sort-memb-op ops) ;; _==_ (setf (second equal-op) (list sort-name sort-name)) (push equal-op ops) ;; _=/=_ (setf (second nequal-op) (list sort-name sort-name)) (push nequal-op ops) ;; _=b=_ (when bequal-op (setf (second bequal-op) (list sort-name sort-name)) (push bequal-op ops)) ;; ==> (when trans-op (setf (second trans-op) (list sort-name sort-name)) (push trans-op ops)) ;; =()=> (when trans-aux-op (setf (second trans-aux-op) (list sort-name (map-chaos-sort-to-trs-or-panic (the-err-sort *rwl-nat-star-sort* so) trs t) sort-name)) (push trans-aux-op ops)) ;; ==-aux (setf (second eq-aux-op) (list sort-name sort-name)) (push eq-aux-op ops) ;; =/=-aux (setf (second neq-aux-op) (list sort-name sort-name)) (push neq-aux-op ops))) )) (defun tram-make-built-in-axioms (trs) (let ((top-sorts (get-trs-error-sorts trs)) (mod (trs$module trs)) (axs nil)) (push `(() (|!if| (|true/0|)) (|true/0|) ) axs) (push `(() (|!if| (|false/0|)) (|false/0|) ) axs) ;; (dolist (sort top-sorts) (let ((trs-sort (map-chaos-sort-to-trs-or-panic sort trs t))) ;; if true then x else y fi (push ` (((X ,trs-sort) (Y ,trs-sort)) (|if_then_else_fi| (|true/0|) X Y) X) axs) (push ` (((X ,trs-sort) (Y ,trs-sort)) (|if_then_else_fi| (|false/0|) X Y) Y) axs) ;; ==(X,Y) = !if(==-aux(X,Y)) (push `(((X ,trs-sort) (Y ,trs-sort)) (|_==_| X Y) (|!if| (|==-aux| X Y))) axs) (when (sort-is-hidden sort) ;; =b=(X,Y) = !if(==-aux(X,Y)) (push `(((X ,trs-sort) (Y ,trs-sort)) (|_=b=_| X Y) (|!if| (|==-aux| X Y))) axs)) ;; ==-aux(X,Y) = true if X == Y (push `(((X ,trs-sort) (Y ,trs-sort)) (|==-aux| X Y) (|true/0|) ((X Y))) axs) ;; =/=(X,Y) = !if(=/=-aux(X,Y)) (push `(((X ,trs-sort) (Y ,trs-sort)) (|_=/=_| X Y) (|!if| (|=/=-aux| X Y))) axs) ;; =/=-aux(X,Y) = false if X == Y (push `(((X ,trs-sort) (Y ,trs-sort)) (|=/=-aux| X Y) (|false/0|) ((X Y))) axs) ;; !if(==-aux(X,Y)) = false (push `(((X ,trs-sort) (Y ,trs-sort)) (|!if| (|==-aux| X Y)) (|false/0|)) axs) ;; !if(=/=-aux(X,Y)) = true (push `(((X ,trs-sort) (Y ,trs-sort)) (|!if| (|=/=-aux| X Y)) (|true/0|)) axs) (when (or (eq mod *rwl-module*) (module-includes-rwl mod)) ;; X ==> X = true (push `(((X ,trs-sort)) (|_==>_| X X) (|true/0|)) axs) ;; X ==> Y = true if X =(*)=> Y (push `(((X ,trs-sort) (Y ,trs-sort)) (|_==>_| X Y) (|true/0|) (((|_=\\(_\\)=>_| X (*/0) Y) (|true/0|)))) axs) ) )) ;; simulates sort membership (dolist (sort (trs$sorts trs)) (unless (memq (sort-module sort) *kernel-hard-wired-builtin-modules*) (let ((trs-sort (map-chaos-sort-to-trs-or-panic sort trs t))) (push ` (((X ,trs-sort)) ;; (|_:_| X ,(make-sort-id-term sort)) (|_:is_| X ,(make-sort-id-term sort)) (|true/0|)) axs)))) ;; axs)) (defun make-sort-id-term (sort) ;; (setq sort (get-original-sort sort)) ; <<<>>> (let ((id (string (sort-id sort))) (module (sort-module sort))) (if (or (eq module *rwl-module*) (memq (sort-module sort) *tram-builtin-modules*)) (list (intern (concatenate 'string id "/0"))) (list (intern (concatenate 'string id "/0?SortId.CHAOS:PARSER")))))) ;;; ;;; TRAM-COMPILE-CHAOS-MODULE ;;; (defun tram-compile-chaos-module (&optional all? (module (get-context-module)) debug) ;; (unless debug (run-tram-process-if-need)) ;; (compile-module module) ;; (let ((trs (get-module-trs module)) (*print-circle* nil) (*print-case* :downcase) (*print-pretty* nil) ;; (*print-escape* t) ) ;; (declare (special *print-circle* *print-case* *print-pretty*)) ;; (setq *tram-last-module* nil) ;; (with-output-to-tram (*tram-process*) (tram-send-initialize trs) (tram-send-use module) (tram-send-sort-decls trs) (tram-send-sort-relations trs) (tram-send-op-decls trs) (tram-send-built-in-ops trs) ;; (tram-send-sem-axioms trs) (tram-send-rule-decls trs all?) (tram-send-built-in-axioms trs)) ;; (multiple-value-bind (res error) ;; (tram-send-compile trs) (tram-send-compile) (unless error (if all? (setf (trs$tram trs) :all) (setf (trs$tram trs) :eq)) (setq *tram-last-module* module) ) (values res error)))) ;;; ;;; TRAM-REDUCE ;;; (defvar *tram-raw-res* nil) (defun tram-reduce (mod pre-term &optional all) (let ((term nil) (error nil)) (compile-module mod) (with-in-module (mod) (let ((*parse-variables* nil)) (setq term (simple-parse mod pre-term *cosmos*)) (when (or (null (term-sort term)) (sort<= (term-sort term) *syntax-err-sort* *chaos-sort-order*)) (chaos-error 'syntax-error)) ;; (unless *chaos-quiet* (fresh-line) (if all (princ "-- execute in ") (princ "-- reduce in ")) (print-mod-name mod) (princ " : ") (let ((*print-indent* (+ 4 *print-indent*))) (term-print term)) (force-output)) )) ;; (let ((trs (get-module-trs mod)) (exec? nil) (need-compile? nil)) ;; compile module if need (unless (eq *tram-last-module* mod) (setq need-compile? t)) (case (trs$tram trs) (:all (unless all (setq exec? nil) (setq need-compile? t))) (:eq (when all (setq exec? t) (setq need-compile? t))) (otherwise (setq exec? all) (setq need-compile? t))) (when need-compile? (multiple-value-bind (comp-res err) (tram-compile-chaos-module exec? mod) (when err (return-from tram-reduce (values comp-res :error-on-compile))) )) ;; send reduce (multiple-value-setq (*tram-raw-res* error) (tram-send-reduce term trs)) ;; (setq res (tram-re-make-term-form trs raw-res)) ;; (setq res (tram-make-term-tok-seq trs raw-res)) (if error (values *tram-raw-res* :error-on-reduce) (values (list (tram-term-to-chaos trs (car *tram-raw-res*)) (cadr *tram-raw-res*)) nil)) ))) ;;; ********************** ;;; TRAM COMPILER COMMANDS ;;; ********************** (defparameter _tram_init_command_ '(|init|)) (defparameter _tram_use_command_ '|use|) (defparameter _tram_sort_decl_command_ '|sort|) (defparameter _tram_sort_order_decl_command_ '|sort-order|) (defparameter _tram_op_decl_command_ '|op|) (defparameter _tram_rule_decl_command_ '|rule|) (defparameter _tram_compile_command_ '(|compile|)) (defparameter _tram_reduce_command_ '|reduce|) ;;; ;;; followings assume called in the body of ;;; `with-output-to-tram' ;;; (defun tram-send-initialize (&rest ignore) (declare (ignore ignore)) (princ _tram_init_command_) (terpri) ; just for now readability reason ) (defun tram-send-use (module) (let ((const-modules (cons (cons module :dummy) (get-module-dependency module)))) (let ((use-modules nil)) ;; check NUMBER family (cond ((assq *z-float* const-modules) (push *z-float* use-modules)) ((assq *z-float-value* const-modules) (push *z-float-value* const-modules))) ;; (cond ((assq *z-rat* const-modules) (push *z-rat* use-modules)) ((assq *z-int* const-modules) (push *z-int* use-modules)) ((assq *z-nat* const-modules) (push *z-nat* use-modules)) ((assq *z-nznat* const-modules) (push *z-nznat* use-modules)) ((assq *z-rat-value* const-modules) (push *z-rat-value* const-modules)) ((assq *z-int-value* const-modules) (push *z-int-value* use-modules)) ((assq *z-nat-value* const-modules) (push *z-nat-value* use-modules)) ((assq *z-nznat-value* const-modules) (setq *z-nznat-value* use-modules))) ;; check CHARACTER family (cond ((assq *z-char* const-modules) (push *z-char* use-modules)) ((assq *z-char-value* const-modules) (push *z-char-value* use-modules))) ;; check QID ;; we simulates Identifier by using brute built-in QID also. (when (or (assq *z-qid* const-modules) (assq *identifier-module* const-modules)) (push *z-qid* use-modules)) ;; check STRING (when (assq *z-string* const-modules) (push *z-string* use-modules)) (dolist (x (nreverse use-modules)) (format t "(~a ~a)" _tram_use_command_ (module-name x)) (terpri)) ))) (defun tram-send-sort-decls (trs) (format t "(~a ~{~s~^ ~})" _tram_sort_decl_command_ (mapcar #'cdr (remove-if #'(lambda (x) (and (not (err-sort-p (car x))) (memq (sort-module (car x)) *tram-builtin-modules*))) (trs$sort-name-map trs))))) (defun tram-send-sort-relations (trs) (when (trs$sort-graph trs) (let ((real-graph nil) ) (setq real-graph (remove-if #'(lambda (x) (and (memq (sort-module (map-trs-sort-to-chaos (car x) trs)) *tram-builtin-modules*) (memq (sort-module (map-trs-sort-to-chaos (cadr x) trs)) *tram-builtin-modules*))) (trs$sort-graph trs))) (when real-graph (format t "(~a ~{~s~^ ~})" _tram_sort_order_decl_command_ real-graph) (terpri)))) (let ((errsorts (trs$err-sorts trs)) ) (when errsorts (format t "(~a ~{~s~^ ~})" _tram_sort_order_decl_command_ errsorts) (terpri)))) (defun tram-send-op-decls (trs) (flet ((!make-op-info (minfo) (list* (car minfo) (cadr minfo) (caddr minfo) (let ((attrs nil) (strat nil)) (dolist (attr (nthcdr 3 minfo) (cons strat (if attrs (list (nreverse attrs)) nil))) (if (consp attr) (case (car attr) ((:id :idr) (push (list (car attr) (trs-term-to-tram-term (cadr attr))) attrs)) (:strat (setq strat (cadr attr)) (when strat (unless (eql 0 (car (last strat))) (setq strat (append strat '(0))))) ) (otherwise (push attr attrs))) (push attr attrs)))) ))) ;; (dolist (op (mapcar #'cdr (remove-if #'(lambda (x) (and (not (sort= (method-coarity (car x)) *sort-id-sort*)) (memq (method-module (car x)) *tram-builtin-modules*))) (trs$op-info-map trs)))) (when (setq op (!make-op-info op)) (format t "(~a ~{~s~^ ~})" _tram_op_decl_command_ op) (terpri))) ;; (dolist (meth (module-error-methods (trs$module trs))) (let ((op (make-trs-op-info meth trs))) (when op (setq op (!make-op-info op)) (format t "(~a ~{~s~^ ~})" _tram_op_decl_command_ op) (terpri)))) )) (defun tram-send-rule-decls (trs &optional all) (let ((rules (make-tram-rules trs all)) ) (dolist (rule rules) (format t "(~a ~{~s~^ ~})" _tram_rule_decl_command_ rule) (terpri)))) (defun tram-send-built-in-ops (trs) (when (assq *truth-module* (module-all-submodules (trs$module trs))) (dolist (opdecl (tram-make-built-in-operators trs)) (format t "(~a ~{~s~^ ~})" _tram_op_decl_command_ opdecl) (terpri)))) (defun tram-send-built-in-axioms (trs) (when (assq *truth-module* (module-all-submodules (trs$module trs))) (dolist (ax (tram-make-built-in-axioms trs)) (format t "(~a ~{~s~^ ~})" _tram_rule_decl_command_ ax) (terpri)))) (defun tram-send-sem-axioms (trs) (dolist (ax (tram-make-sem-axioms trs)) (format t "(~a ~{~s~^ ~})" _tram_rule_decl_command_ ax) (terpri))) (defun tram-send-stat-switch (&rest ignore) (declare (ignore ignore)) (with-output-to-tram (*tram-process*) (if *show-stats* (princ "(stat on)") (princ "(stat off)")) (terpri))) (defun check-tram-error (result) (and (stringp result) (let ((elts (parse-with-delimiter result #\Space))) (equal (car elts) "error")))) (defun tram-send-compile (&rest ignore) (declare (ignore ignore)) (let ((res nil) (stat nil) (error nil)) (tram-send-stat-switch) (setq res (tram-send-and-wait *tram-process* _tram_compile_command_)) (setq error (check-tram-error res)) (when (and *show-stats* (not error)) (setq stat (wait-tram-answer *tram-process*))) (values (list res stat) error) )) (defun tram-send-reduce (term trs) (let ((trs-term (make-tram-term term trs)) (res nil) (stat nil) (error nil)) (tram-send-stat-switch) (setq res (tram-send-and-wait *tram-process* (format nil "(~a ~s)" _tram_reduce_command_ trs-term))) (setq error (check-tram-error res)) (when (and *show-stats* (not error)) (setq stat (wait-tram-answer *tram-process*))) (values (list res stat) error) )) ;;; EOF cafeobj-1.5.4/chaos/trs-comp/0000755000000000000000000000000012605345045014455 5ustar rootrootcafeobj-1.5.4/chaos/trs-comp/eoperator.lisp0000644000000000000000000000610412605345045017347 0ustar rootroot;;;-*-Mode:LISP; Package: Chaos; Base:10; Syntax:Common-lisp -*- ;;; ;;; Copyright (c) 2000-2015, Toshimi Sawada. All rights reserved. ;;; ;;; Redistribution and use in source and binary forms, with or without ;;; modification, are permitted provided that the following conditions ;;; are met: ;;; ;;; * Redistributions of source code must retain the above copyright ;;; notice, this list of conditions and the following disclaimer. ;;; ;;; * Redistributions in binary form must reproduce the above ;;; copyright notice, this list of conditions and the following ;;; disclaimer in the documentation and/or other materials ;;; provided with the distribution. ;;; ;;; THIS SOFTWARE IS PROVIDED BY THE AUTHOR 'AS IS' AND ANY EXPRESSED ;;; OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED ;;; WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ;;; ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY ;;; DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL ;;; DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE ;;; GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS ;;; INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, ;;; WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING ;;; NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS ;;; SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. ;;; (in-package :chaos) #|============================================================================== System: Chaos Module: trs-comp.chaos File: eoperator.lisp ===============================================================================|# ;;;============================================================================= ;;; OPERATOR CODING ;;;============================================================================= ;;; operator is coded in 24bits integers (assume this fixnum). ;;; ******************* ;;; operator-coding-map ;;; ******************* ;;; entry value ;;; ---------------------------- ;;; name(id,num-args) -> code (defun encode-operators (module) (let ((res nil)) (do ((opinfo-list (module-all-operators module) (cdr opinfo-list)) (i 0 (1+ i))) ((endp opinfo-list)) (declare (type fixnum i)) (let ((op-name (operator-name (caar opinfo-list)))) (push (cons op-name i) res))) res)) (defmacro get-opertor-encoding-entry (operator map) ` (let ((val (assoc (operator-name ,op) ,map :test #'equal))) (unless val (error "get-operator-encoding-entry, no entry for op!") (print-chaos-object operator)) val)) (defmacro operator-to-code (op eop-map) `(cdr (get-operator-encoding-entry op eop-map))) (defmacro get-operator-decoding-entry (code map) ` (let ((val (find-if #'(lambda(x) (= ,code (cdr x))) ,map))) (unless val (error "get-operator-decoding-entry, no entry for code ~d!." code)) val)) (defmacro code-to-operator (code eop-map) `(cdr (get-operator-decoding-entry ,code ,eop-map))) ;;; CODED OPERATOR INFORMATIONS ;;; gathers infos while parsing & rewriting. cafeobj-1.5.4/chaos/trs-comp/esort.lisp0000644000000000000000000001222312605345045016502 0ustar rootroot;;;-*-Mode:LISP; Package: Chaos; Base:10; Syntax:Common-lisp -*- ;;; ;;; Copyright (c) 2000-2015, Toshimi Sawada. All rights reserved. ;;; ;;; Redistribution and use in source and binary forms, with or without ;;; modification, are permitted provided that the following conditions ;;; are met: ;;; ;;; * Redistributions of source code must retain the above copyright ;;; notice, this list of conditions and the following disclaimer. ;;; ;;; * Redistributions in binary form must reproduce the above ;;; copyright notice, this list of conditions and the following ;;; disclaimer in the documentation and/or other materials ;;; provided with the distribution. ;;; ;;; THIS SOFTWARE IS PROVIDED BY THE AUTHOR 'AS IS' AND ANY EXPRESSED ;;; OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED ;;; WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ;;; ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY ;;; DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL ;;; DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE ;;; GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS ;;; INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, ;;; WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING ;;; NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS ;;; SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. ;;; (in-package :chaos) #|============================================================================== System: Chaos Module: trs-comp File: esort.lisp ===============================================================================|# ;;; *********** ;;; SORT CODING ;;; *********** ;;; SORT-CODING-MAP : ;;; - sort : sort object ;;; - family-id : family identifier ;;; - code : fixnum assigned to a sort-name ;;; which is a logior sum of own `sort-id-bit' and its lower ;;; sorts' bit. ;;; - sort-id-bit: sort identifier (fixnum). (defun make-sort-coding-map-entry (sort family-id sort-code sort-id-bit) (cons sort (list family-id sort-code sort-id-bit))) (defmacro sort-coding-map-sort (sem) `(car ,sem)) (defmacro sort-coding-map-family-id (sem) `(cadr ,sem)) (defmacro sort-coding-map-sort-code (sem) `(caddr ,sem)) (defmacro sort-coding-map-sort-id-bit (sem) `(cadddr ,sem)) (defmacro get-sort-encoding-entry (sort sem) ` (let ((se (assoc ,sort ,sem :test #'eq))) (unless se (error "get-sort-encoding-entry : no entry for sort!!") (print-chaos-object sort)) se)) (declaim (function sort-to-sort-family-id (t list) fixnum)) (defun sort-to-sort-family-id (sort sem) (sort-coding-map-sort-family-id (get-sort-encoding-entry sort sem))) (declaim (function sort-to-sort-code (t list) fixnum)) (defun sort-to-sort-code (sort sem) (sort-coding-map-sort-code (get-sort-encoding-entry sort sem))) (declaim (function sort-to-sort-id-bit (t list) fixnum)) (defun sort-to-sort-id-bit (sort sem) (sort-coding-map-sort-id-bit (get-sort-encoding-entry sort sem))) (defmacro get-sort-decoding-entry (family-id sort-code sem) ` (let ((se (find-if #'(lambda (ee) (and (eql (sort-coding-map-family-id ee) (the fixnum ,family-id)) (eql (sort-coding-map-sort-code ee) (the fixnum ,sort-code)))) ,sem))) (unless se (error "get-sort-decoding-entry : no for entry for code.")) se)) (defun sort-code-to-sort (family-id sort-code sem) (declare (type fixnum family-id)) (sort-coding-map-sort (get-sort-decoding-entry family-id sort-code sem))) ;;; (defun module-error-sorts (module) (let ((res nil)) (maphash #'(lambda (sort sort-relation) (declare (ignore sort)) (push-new (_err-sort sort-relation) res)) (module-sort-order module)) res)) ;;; module-sort-families ;;; ((error-sort . member-sort .... ) ... ) ;;; (defun module-sort-families (module) (let ((res nil)) (maphash #'(lambda (sort sort-relation) (let ((family (assoc (_err-sort sort-relation) res :test #'eq))) (if family (push sort (cdr family)) (push (cons (_err-sort sort-relation) (list sort)) res)))) (module-sort-order module)) res)) ;;; ENCODE-SORTS : module -> SortEncodingMap ;;; (defun encode-sorts (module) (with-in-module (module) (let ((families (module-sort-families module)) (trs-sm nil)) (do ((i 0 (1+ i)) (fm-list families (cdr fm-list))) ((endp fm-list)) (declare (type fixnum i)) (do ((j 1 (* j 2)) (sorts (car fm-list) (cdr sorts))) ; the first one is always the ; family sort (error sort, kind ...) ((endp sorts)) (declare (type fixnum j)) (push (make-sort-coding-map-entry (car sorts) ; sort i ; family-id nil ; sort-code set later j ; sort-id bit ) trs-sm))) ;; assign for each sort its sort-code ;; which is a logior sum of its own sort-id bit and that of lower sorts. (dolist (sem trs-sm) (setf (sort-coding-map-sort-code sem) (reduce #'logior (cons (sort-coding-map-sort-id-bit sem) (mapcar #'(lambda (x) (sort-to-sort-id-bit x trs-sm)) (subsorts (sort-coding-map-sort sem))) )))) ;; (nreverse trs-sm)))) cafeobj-1.5.4/chaos/trs-comp/indexing.lisp0000644000000000000000000000556112605345045017162 0ustar rootroot;;;-*-Mode:LISP; Package: CHAOS; Base:10; Syntax:Common-lisp -*- ;;; ;;; Copyright (c) 2000-2015, Toshimi Sawada. All rights reserved. ;;; ;;; Redistribution and use in source and binary forms, with or without ;;; modification, are permitted provided that the following conditions ;;; are met: ;;; ;;; * Redistributions of source code must retain the above copyright ;;; notice, this list of conditions and the following disclaimer. ;;; ;;; * Redistributions in binary form must reproduce the above ;;; copyright notice, this list of conditions and the following ;;; disclaimer in the documentation and/or other materials ;;; provided with the distribution. ;;; ;;; THIS SOFTWARE IS PROVIDED BY THE AUTHOR 'AS IS' AND ANY EXPRESSED ;;; OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED ;;; WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ;;; ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY ;;; DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL ;;; DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE ;;; GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS ;;; INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, ;;; WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING ;;; NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS ;;; SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. ;;; (in-package :chaos) #|============================================================================= System:CHAOS Module:trs-comp File:indexing.lisp =============================================================================|# ;;; GENERAL DISCRIMINATION TREE ;;; NLIST ::= (count . elements) ;;; (defun make-empty-nlist () (cons 0 nil)) ;;; number of elements a nlist (dfun nlist-number (x) (car x)) ;;; elements in nlist (defun nlist-list (x) (cdr x)) ;;; addd a new element to an nlist (defun nlist-push (item nlist) (incf (car nlist)) (push item (cdr nlist)) nlist) ;;; THE DESCRIMINATION TREE ;;; (defstruct (dtree (:type vector)) (first nil) (next nil) (atoms nil) (var (make-empty-nlist))) ;;; ***************** ;;; OPERATOR ENCODING ;;; ***************** ;;; each operator in a module is encoded into natural numbers. ;;; op-encode-table ;;; operator -> natural number ;;; op-info-array ;;; natural number -> (operator . ;;; ;;; Fetch (or make) operator encode table ;;; (defun get-module-op-map-table (module) ;;; D-TREE for sort assignment ;;; ** Assumption ** ;;; operator names are canonicalized, i.e., it is a simbole and ;;; is modified by its number of arguments and module-name. ;;; (let ((operator-names nil)) ;;; Fetch (or make) the dtree (defun get-sort-assignment-dtree (operator) (let ((internal-name (operator-internal-name operator))) (cond ((get (operator-internal-name operator) ':sort-tree)) )))) cafeobj-1.5.4/chaos/trs-comp/trs.lisp0000644000000000000000000001471312605345045016164 0ustar rootroot;;; ;;; Copyright (c) 2000-2015, Toshimi Sawada. All rights reserved. ;;; ;;; Redistribution and use in source and binary forms, with or without ;;; modification, are permitted provided that the following conditions ;;; are met: ;;; ;;; * Redistributions of source code must retain the above copyright ;;; notice, this list of conditions and the following disclaimer. ;;; ;;; * Redistributions in binary form must reproduce the above ;;; copyright notice, this list of conditions and the following ;;; disclaimer in the documentation and/or other materials ;;; provided with the distribution. ;;; ;;; THIS SOFTWARE IS PROVIDED BY THE AUTHOR 'AS IS' AND ANY EXPRESSED ;;; OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED ;;; WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ;;; ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY ;;; DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL ;;; DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE ;;; GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS ;;; INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, ;;; WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING ;;; NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS ;;; SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. ;;; (in-package :chaos) (defstruct (chaos-trs (:print-function print-chaos-trs)) module sort-name-map op-info-map) (defun cafeobj->trs (mod &optional trs) (let ((trs (if trs (setf (chaos-trs-module trs) mod) (make-chaos-trs :module mod)))) (dolist (s (module-all-sorts mod)) (push (cons s (chaos-trs-make-sort-name s)) (chaos-trs-sort-name-map trs))) (dolist (opinfo (module-all-operators mod)) (dolist (meth (opinfo-methods opinfo)) (unless (method-is-error-method meth) (push (cons meth (chaos-trs-make-method-info meth trs)) (chaos-trs-op-info-map trs))))) trs)) (defun print-chaos-trs (trs &optional (stream *standard-output*) &rest ignore) (declare (ignore ignore)) (let ((*print-circle* nil) (*print-case* :downcase)) (prin1 (make-trs-print-form trs) stream))) (defun chaos-trs-get-sort-graph (trs) (let* ((mod (chaos-trs-module trs)) (so (module-sort-order trs)) (snmlist (chaos-trs-sort-name-map trs)) (sub-rel nil)) (dolist (s (module-all-sorts mod)) (let ((supers (direct-supersorts s so))) (if supers (if (and (null (cdr supers)) (err-sort-p (car supers))) (if (sort-is-hidden s) (push (list (cdr (assq s snmlist)) sup-huniversal-sort-name) sub-rel) (push (list (cdr (assq s snmlist)) sup-universal-sort-name) sub-rel)) ;; (dolist (sup supers) (push (list (cdr (assq s snmlist)) (cdr (assq sup snmlist))) sub-rel)))))) (nreverse sub-rel))) (defun make-trs-print-form (trs) (let ((mod (chaos-trs-module trs))) (with-in-module (mod) (let ((so (module-sort-order mod))) `(:trs ,(make-module-print-name2 mod) :sorts ,(mapcar #'cdr (chaos-trs-sort-name-map)) :subsorts ,(chaos-trs-get-sort-graph trs) :operators ,(mapcar #'cdr (chaos-trs-op-info-map trs)) :axioms ,( (defun chaos-trs-make-sort-name (sort) (reduce #'(lambda (x y) (concatenate 'string x y)) (list (string (sort-id sort)) "." (make-module-print-name2 (sort-module sort))))) (defun chaos-trs-make-method-info (meth trs) (let ((mod (chaos-trs-module trs)) (smap (chaos-trs-sort-name-map trs))) (macrolet ((get-sort-mapped (s) (or (cdr (assq ,s smap)) (with-output-panic-message () (format t "could not find sort ~a in trs." (sort-id ,s)))))) (let ((nam (reduce #'(lambda (x y) (concatenate 'string x y))) (method-symbol meth)) (arity (mapcar #'(lambda (x) (get-sort-maped x)) (method-arity meth))) (coarity (get-sort-mapped (method-coarity meth))) (attrs (chaos-trs-make-attr-info meth mod))) (list* nam arity coarity attrs))))) (defun chaos-trs-make-attr-info (meth mod) (with-in-module (mod) (let ((theory (method-theory meth)) (strat (method-rewrite-strategy meth)) (constr (method-constructor meth)) (prec (method-precedence meth)) (assoc (method-associativity meth)) (res nil)) (when (and (eql 0 (car (last strat))) (member 0 (butlast strat))) (setq strat (butlast strat))) (let ((th-info (theory-info theory)) (zero (theory-zero theory))) (when (not (eq th-info the-e-property)) (when (or (theory-info-is-AC th-info) (theory-info-is-A th-info) (theory-info-is-AI th-info) (theory-info-is-AZ th-info) (theory-info-is-AIZ th-info) (theory-info-is-ACI th-info) (theory-info-is-ACZ th-info) (theory-info-is-ACIZ th-info)) (push '(:assoc) res)) (when (or (theory-info-is-AC th-info) (theory-info-is-C th-info) (theory-info-is-CI th-info) (theory-info-is-CZ th-info) (theory-info-is-CIZ th-info) (theory-info-is-ACI th-info) (theory-info-is-ACZ th-info) (theory-info-is-ACIZ th-info)) (push '(:comm) res)) (when (or (theory-info-is-I th-info) (theory-info-is-IZ th-info) (theory-info-is-CI th-info) (theory-info-is-CIZ th-info) (theory-info-is-AI th-info) (theory-info-is-AIZ th-info) (theory-info-is-ACI th-info) (theory-info-is-ACIZ th-info)) (push '(:idem) res)) (when zero (let ((mth (sup-make-term-method-info (car zero) mod))) (if (null (cdr zero)) (push (list ':id mth) res) (push (list ':idr mth) res)))) )) (when strat (push (list ':strat strat) res)) (when prec (push (list ':prec prec) res)) (when constr (push '(:constr) res)) (when assoc (push (if (eq :left assoc) '(:l-assoc) '(:r-assoc)) res))))) (defun chaos-trs-make-term-form (term mod) (cond ((term-is-lisp-form? term) (list :lisp (lisp-form-original-form term))) ((term-is-builtin-constant? term) (list :builtin-value (term-builtin-value term) (sup-make-sort-info (term-sort term)))) ((term-is-variable? term) (list :var (string (variable-name term)) (sup-make-sort-info (variable-sort term)))) ((term-is-applform? term) (list* :op (sup-make-opname (term-head term)) (sup-make-sort-info (term-sort term)) (mapcar #'(lambda (x) (sup-make-term-form x mod)) (term-subterms term)))) (t (with-output-panic-message () (format t "unknown term : ") (term-print term))))) ;;; EOF cafeobj-1.5.4/comlib/0000755000000000000000000000000012605345045013061 5ustar rootrootcafeobj-1.5.4/comlib/let-over-lambda.lisp0000644000000000000000000003642712573744536016755 0ustar rootroot;;;; -*- Mode: LISP; Syntax: COMMON-LISP; Package: LET-OVER-LAMBDA; Base: 10 -*- file: let-over-lambda.lisp ;; (in-package #:let-over-lambda) (in-package :chaos) ;; Antiweb (C) Doug Hoyte ;; This is a "production" version of LOL with bug-fixes ;; and new features in the spirit of the book. ;; See http://letoverlambda.com ;; This is the source code for the book ;; _Let_Over_Lambda_ by Doug Hoyte. ;; This code is (C) 2002-2008, Doug Hoyte. ;; ;; You are free to use, modify, and re-distribute ;; this code however you want, except that any ;; modifications must be clearly indicated before ;; re-distribution. There is no warranty, ;; expressed nor implied. ;; ;; Attribution of this code to me, Doug Hoyte, is ;; appreciated but not necessary. If you find the ;; code useful, or would like documentation, ;; please consider buying the book! ;; Safety feature for SBCL>=v1.2.2 #+sbcl (if (string-lessp (lisp-implementation-version) "1.2.2") (pushnew :safe-sbcl *features*) (setq *features* (remove :safe-sbcl *features*))) (defun group (source n) (if (zerop n) (error "zero length")) (labels ((rec (source acc) (let ((rest (nthcdr n source))) (if (consp rest) (rec rest (cons (subseq source 0 n) acc)) (nreverse (cons source acc)))))) (if source (rec source nil) nil))) (eval-when (:compile-toplevel :execute :load-toplevel) (defun mkstr (&rest args) (with-output-to-string (s) (dolist (a args) (princ a s)))) (defun symb (&rest args) (values (intern (apply #'mkstr args)))) (defun flatten (x) (labels ((rec (x acc) (cond ((null x) acc) #+(and sbcl (not safe-sbcl)) ((typep x 'sb-impl::comma) (rec (sb-impl::comma-expr x) acc)) ((atom x) (cons x acc)) (t (rec (car x) (rec (cdr x) acc)))))) (rec x nil))) (defun g!-symbol-p (s) (and (symbolp s) (> (length (symbol-name s)) 2) (string= (symbol-name s) "G!" :start1 0 :end1 2))) (defun o!-symbol-p (s) (and (symbolp s) (> (length (symbol-name s)) 2) (string= (symbol-name s) "O!" :start1 0 :end1 2))) (defun o!-symbol-to-g!-symbol (s) (symb "G!" (subseq (symbol-name s) 2)))) (defmacro defmacro/g! (name args &rest body) (let ((syms (remove-duplicates (remove-if-not #'g!-symbol-p (flatten body))))) `(defmacro ,name ,args (let ,(mapcar (lambda (s) `(,s (gensym ,(subseq (symbol-name s) 2)))) syms) ,@body)))) (defmacro defmacro! (name args &rest body) (let* ((os (remove-if-not #'o!-symbol-p args)) (gs (mapcar #'o!-symbol-to-g!-symbol os))) `(defmacro/g! ,name ,args `(let ,(mapcar #'list (list ,@gs) (list ,@os)) ,(progn ,@body))))) ;; Nestable suggestion from Daniel Herring (defun |#"-reader| (stream sub-char numarg) (declare (ignore sub-char numarg)) (let (chars (state 'normal) (depth 1)) (loop do (let ((curr (read-char stream))) (cond ((eq state 'normal) (cond ((char= curr #\#) (push #\# chars) (setq state 'read-sharp)) ((char= curr #\") (setq state 'read-quote)) (t (push curr chars)))) ((eq state 'read-sharp) (cond ((char= curr #\") (push #\" chars) (incf depth) (setq state 'normal)) (t (push curr chars) (setq state 'normal)))) ((eq state 'read-quote) (cond ((char= curr #\#) (decf depth) (if (zerop depth) (return)) (push #\" chars) (push #\# chars) (setq state 'normal)) (t (push #\" chars) (if (char= curr #\") (setq state 'read-quote) (progn (push curr chars) (setq state 'normal))))))))) (coerce (nreverse chars) 'string))) (set-dispatch-macro-character #\# #\" #'|#"-reader|) ; This version is from Martin Dirichs (defun |#>-reader| (stream sub-char numarg) (declare (ignore sub-char numarg)) (let (chars) (do ((curr (read-char stream) (read-char stream))) ((char= #\newline curr)) (push curr chars)) (let ((pattern (nreverse chars)) output) (labels ((match (pos chars) (if (null chars) pos (if (char= (nth pos pattern) (car chars)) (match (1+ pos) (cdr chars)) (match 0 (cdr (append (subseq pattern 0 pos) chars))))))) (do (curr (pos 0)) ((= pos (length pattern))) (setf curr (read-char stream) pos (match pos (list curr))) (push curr output)) (coerce (nreverse (nthcdr (length pattern) output)) 'string))))) (set-dispatch-macro-character #\# #\> #'|#>-reader|) (defun segment-reader (stream ch n) (if (> n 0) (let ((chars)) (do ((curr (read-char stream) (read-char stream))) ((char= ch curr)) (push curr chars)) (cons (coerce (nreverse chars) 'string) (segment-reader stream ch (- n 1)))))) #+cl-ppcre (defmacro! match-mode-ppcre-lambda-form (o!args o!mods) ``(lambda (,',g!str) (cl-ppcre:scan ,(if (zerop (length ,g!mods)) (car ,g!args) (format nil "(?~a)~a" ,g!mods (car ,g!args))) ,',g!str))) #+cl-ppcre (defmacro! subst-mode-ppcre-lambda-form (o!args) ``(lambda (,',g!str) (cl-ppcre:regex-replace-all ,(car ,g!args) ,',g!str ,(cadr ,g!args)))) #+cl-ppcre (defun |#~-reader| (stream sub-char numarg) (declare (ignore sub-char numarg)) (let ((mode-char (read-char stream))) (cond ((char= mode-char #\m) (match-mode-ppcre-lambda-form (segment-reader stream (read-char stream) 1) (coerce (loop for c = (read-char stream) while (alpha-char-p c) collect c finally (unread-char c stream)) 'string))) ((char= mode-char #\s) (subst-mode-ppcre-lambda-form (segment-reader stream (read-char stream) 2))) (t (error "Unknown #~~ mode character"))))) #+cl-ppcre (set-dispatch-macro-character #\# #\~ #'|#~-reader|) (defmacro! dlambda (&rest ds) `(lambda (&rest ,g!args) (case (car ,g!args) ,@(mapcar (lambda (d) `(,(if (eq t (car d)) t (list (car d))) (apply (lambda ,@(cdr d)) ,(if (eq t (car d)) g!args `(cdr ,g!args))))) ds)))) ;; Graham's alambda (defmacro alambda (parms &body body) `(labels ((self ,parms ,@body)) #'self)) ;; Graham's aif (defmacro aif (test then &optional else) `(let ((it ,test)) (if it ,then ,else))) (eval-when (:compile-toplevel :execute :load-toplevel) (defun |#`-reader| (stream sub-char numarg) (declare (ignore sub-char)) (unless numarg (setq numarg 1)) `(lambda ,(loop for i from 1 to numarg collect (symb 'a i)) ,(funcall (get-macro-character #\`) stream nil))) (set-dispatch-macro-character #\# #\` #'|#`-reader|)) (defmacro alet% (letargs &rest body) `(let ((this) ,@letargs) (setq this ,@(last body)) ,@(butlast body) this)) (defmacro alet (letargs &rest body) `(let ((this) ,@letargs) (setq this ,@(last body)) ,@(butlast body) (lambda (&rest params) (apply this params)))) (defun let-binding-transform (bs) (if bs (cons (cond ((symbolp (car bs)) (list (car bs))) ((consp (car bs)) (car bs)) (t (error "Bad let bindings"))) (let-binding-transform (cdr bs))))) (defmacro pandoriclet (letargs &rest body) (let ((letargs (cons '(this) (let-binding-transform letargs)))) `(let (,@letargs) (setq this ,@(last body)) ,@(butlast body) (dlambda (:pandoric-get (sym) ,(pandoriclet-get letargs)) (:pandoric-set (sym val) ,(pandoriclet-set letargs)) (t (&rest args) (apply this args)))))) (defun pandoriclet-get (letargs) `(case sym ,@(mapcar #`((,(car a1)) ,(car a1)) letargs) (t (error "Unknown pandoric get: ~a" sym)))) (defun pandoriclet-set (letargs) `(case sym ,@(mapcar #`((,(car a1)) (setq ,(car a1) val)) letargs) (t (error "Unknown pandoric set: ~a" sym)))) (declaim (inline get-pandoric)) (defun get-pandoric (box sym) (funcall box :pandoric-get sym)) (defsetf get-pandoric (box sym) (val) `(progn (funcall ,box :pandoric-set ,sym ,val) ,val)) (defmacro with-pandoric (syms box &rest body) (let ((g!box (gensym "box"))) `(let ((,g!box ,box)) (declare (ignorable ,g!box)) (symbol-macrolet (,@(mapcar #`(,a1 (get-pandoric ,g!box ',a1)) syms)) ,@body)))) (defun pandoric-hotpatch (box new) (with-pandoric (this) box (setq this new))) (defmacro pandoric-recode (vars box new) `(with-pandoric (this ,@vars) ,box (setq this ,new))) (defmacro plambda (largs pargs &rest body) (let ((pargs (mapcar #'list pargs))) `(let (this self) (setq this (lambda ,largs ,@body) self (dlambda (:pandoric-get (sym) ,(pandoriclet-get pargs)) (:pandoric-set (sym val) ,(pandoriclet-set pargs)) (t (&rest args) (apply this args))))))) (defvar pandoric-eval-tunnel) (defmacro pandoric-eval (vars expr) `(let ((pandoric-eval-tunnel (plambda () ,vars t))) (eval `(with-pandoric ,',vars pandoric-eval-tunnel ,,expr)))) ;; Chapter 7 (eval-when (:compile-toplevel :execute :load-toplevel) (set-dispatch-macro-character #\# #\f (lambda (stream sub-char numarg) (declare (ignore stream sub-char)) (setq numarg (or numarg 3)) (unless (<= numarg 3) (error "Bad value for #f: ~a" numarg)) `(declare (optimize (speed ,numarg) (safety ,(- 3 numarg))))))) (defmacro fast-progn (&rest body) `(locally #f ,@body)) (defmacro safe-progn (&rest body) `(locally #0f ,@body)) (defun fformat (&rest all) (apply #'format all)) (define-compiler-macro fformat (&whole form stream fmt &rest args) (if (constantp fmt) (if stream `(funcall (formatter ,fmt) ,stream ,@args) (let ((g!stream (gensym "stream"))) `(with-output-to-string (,g!stream) (funcall (formatter ,fmt) ,g!stream ,@args)))) form)) (declaim (inline make-tlist tlist-left tlist-right tlist-empty-p)) (defun make-tlist () (cons nil nil)) (defun tlist-left (tl) (caar tl)) (defun tlist-right (tl) (cadr tl)) (defun tlist-empty-p (tl) (null (car tl))) (declaim (inline tlist-add-left tlist-add-right)) (defun tlist-add-left (tl it) (let ((x (cons it (car tl)))) (if (tlist-empty-p tl) (setf (cdr tl) x)) (setf (car tl) x))) (defun tlist-add-right (tl it) (let ((x (cons it nil))) (if (tlist-empty-p tl) (setf (car tl) x) (setf (cddr tl) x)) (setf (cdr tl) x))) (declaim (inline tlist-rem-left)) (defun tlist-rem-left (tl) (if (tlist-empty-p tl) (error "Remove from empty tlist") (let ((x (car tl))) (setf (car tl) (cdar tl)) (if (tlist-empty-p tl) (setf (cdr tl) nil)) ;; For gc (car x)))) (declaim (inline tlist-update)) (defun tlist-update (tl) (setf (cdr tl) (last (car tl)))) (defun build-batcher-sn (n) (let* (network (tee (ceiling (log n 2))) (p (ash 1 (- tee 1)))) (loop while (> p 0) do (let ((q (ash 1 (- tee 1))) (r 0) (d p)) (loop while (> d 0) do (loop for i from 0 to (- n d 1) do (if (= (logand i p) r) (push (list i (+ i d)) network))) (setf d (- q p) q (ash q -1) r p))) (setf p (ash p -1))) (nreverse network))) (defmacro! sortf (comparator &rest places) (if places `(tagbody ,@(mapcar #`(let ((,g!a #1=,(nth (car a1) places)) (,g!b #2=,(nth (cadr a1) places))) (if (,comparator ,g!b ,g!a) (setf #1# ,g!b #2# ,g!a))) (build-batcher-sn (length places)))))) ;;;;;; NEW CODE FOR ANTIWEB #+cl-ppcre (defun dollar-symbol-p (s) (and (symbolp s) (> (length (symbol-name s)) 1) (string= (symbol-name s) "$" :start1 0 :end1 1) (ignore-errors (parse-integer (subseq (symbol-name s) 1))))) (defun prune-if-match-bodies-from-sub-lexical-scope (tree) (if (consp tree) (if (or (eq (car tree) 'if-match) (eq (car tree) 'when-match)) (cddr tree) (cons (prune-if-match-bodies-from-sub-lexical-scope (car tree)) (prune-if-match-bodies-from-sub-lexical-scope (cdr tree)))) tree)) ;; WARNING: Not %100 correct. Removes forms like (... if-match ...) from the ;; sub-lexical scope even though this isn't an invocation of the macro. #+cl-ppcre (defmacro! if-match ((test str) conseq &optional altern) (let ((dollars (remove-duplicates (remove-if-not #'dollar-symbol-p (flatten (prune-if-match-bodies-from-sub-lexical-scope conseq)))))) (let ((top (or (car (sort (mapcar #'dollar-symbol-p dollars) #'>)) 0))) `(let ((,g!str ,str)) (multiple-value-bind (,g!s ,g!e ,g!ms ,g!me) (,test ,g!str) (declare (ignorable ,g!e ,g!me)) (if ,g!s (if (< (length ,g!ms) ,top) (error "ifmatch: too few matches") (let ,(mapcar #`(,(symb "$" a1) (subseq ,g!str (aref ,g!ms ,(1- a1)) (aref ,g!me ,(1- a1)))) (loop for i from 1 to top collect i)) ,conseq)) ,altern)))))) (defmacro when-match ((test str) conseq &rest more-conseq) `(if-match (,test ,str) (progn ,conseq ,@more-conseq))) ;; EOF cafeobj-1.5.4/comlib/dag.lisp0000644000000000000000000001222312605345045014505 0ustar rootroot;;;-*- Mode:Lisp; Syntax:Common-Lisp; Package:CHAOS -*- ;;; ;;; Copyright (c) 2000-2015, Toshimi Sawada. All rights reserved. ;;; ;;; Redistribution and use in source and binary forms, with or without ;;; modification, are permitted provided that the following conditions ;;; are met: ;;; ;;; * Redistributions of source code must retain the above copyright ;;; notice, this list of conditions and the following disclaimer. ;;; ;;; * Redistributions in binary form must reproduce the above ;;; copyright notice, this list of conditions and the following ;;; disclaimer in the documentation and/or other materials ;;; provided with the distribution. ;;; ;;; THIS SOFTWARE IS PROVIDED BY THE AUTHOR 'AS IS' AND ANY EXPRESSED ;;; OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED ;;; WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ;;; ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY ;;; DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL ;;; DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE ;;; GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS ;;; INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, ;;; WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING ;;; NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS ;;; SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. ;;; (in-package :CHAOS) #|============================================================================== System: Chaos Module: comlib File: dag.lisp ==============================================================================|# #-:chaos-debug (declaim (optimize (speed 3) (safety 0) #-GCL (debug 0))) #+:chaos-debug (declaim (optimize (speed 1) (safety 3) #-GCL (debug 3))) ;;; dag node = ( datum List[node] . flag ) ;;; flag is used for dag traverse, i.e. marked=already visited. (defstruct dag-node (datum nil :type t) (subnodes nil :type list) (flag nil :type (or null t))) ;;; basic constructor (defmacro create-dag-node (datum subnodes) `(make-dag-node :datum ,datum :subnodes ,subnodes)) ;;; adding sub node (defmacro add-subnodes (dag datums) (once-only (dag) `(setf (dag-node-subnodes ,dag) (nconc (dag-node-subnodes ,dag) (mapcar #'(lambda (d) (create-dag-node d nil)) ,datums))))) (defmacro push-sub-node (dag datum) `(push (create-dag-node ,datum nil) (dag-node-subnodes ,dag))) ;;; (defmacro dag-node-is-marked? (node) `(dag-node-flag ,node)) (defmacro mark-dag-node (node) `(setf (dag-node-flag ,node) t)) (defmacro unmark-dag-node (node) `(setf (dag-node-flag ,node) nil)) (defun unmark-all-dag-nodes (dag) (declare (type dag-node dag)) (unmark-dag-node dag) (dolist (sub (dag-node-subnodes dag)) (declare (type dag-node sub)) (unmark-all-dag-nodes sub))) ;;; dag-dfs : dag function ;;; traversing dag by depth first manner, apply function to each node. ;;; (defun dag-dfs (dag &optional (function #'identity)) (declare (type dag-node dag) (type (or symbol function) function) (values t)) (labels ((do-dag-dfs (d) (unless (dag-node-is-marked? d) (dolist (sub (dag-node-subnodes d)) (unless (dag-node-is-marked? sub) (do-dag-dfs sub))) (funcall function d) (mark-dag-node d)))) (unmark-all-dag-nodes dag) (do-dag-dfs dag))) ;;; dag-wfs : dag function ;;; traversing dag by width first manner, apply function to each node. ;;; (defun dag-wfs (dag &optional (function #'identity)) (declare (type dag-node dag) (type (or symbol function) function) (values t)) (labels ((do-dag-wfs (ld) (dolist (d ld) (unless (dag-node-is-marked? d) (funcall function d) (mark-dag-node d))) (dolist (d ld) (do-dag-wfs (dag-node-subnodes d))))) (unmark-all-dag-nodes dag) (do-dag-wfs (list dag)))) ;;; bi-directional graph ;;; (defstruct (bdag (:include dag-node)) (parent nil)) (defmacro create-bdag-node (datum subnodes) (once-only (subnodes datum) `(let ((bdag (make-bdag :datum ,datum :subnodes ,subnodes :parent nil))) (dolist (s ,subnodes) (setf (bdag-parent s) bdag)) bdag))) (defmacro add-bdag-subnodes (bdag datums) (once-only (bdag datums) `(setf (dag-node-subnodes ,bdag) (nconc (dag-node-subnodes ,bdag) (mapcar #'(lambda (d) (let ((sub (create-bdag-node d nil))) (setf (bdag-parent sub) ,bdag) sub)) ,datums))))) (defmacro push-bdag-node (dag datum) (once-only (dag) `(push (let ((s (create-bdag-node ,datum nil))) (setf (bdag-parent s) ,dag) s) (dag-node-subnodes ,dag)))) (defun get-bdag-parents (bdag) (declare (type bdag bdag)) (let ((res nil) (parent (bdag-parent bdag))) (while parent (push parent res) (setq parent (bdag-parent parent))) res)) ;;; EOF cafeobj-1.5.4/comlib/error.lisp0000644000000000000000000001166312605345045015112 0ustar rootroot;;;-*- Mode:LISP; Package:CHAOS; Base:10; Syntax:Common-lisp -*- ;;; ;;; Copyright (c) 2000-2015, Toshimi Sawada. All rights reserved. ;;; ;;; Redistribution and use in source and binary forms, with or without ;;; modification, are permitted provided that the following conditions ;;; are met: ;;; ;;; * Redistributions of source code must retain the above copyright ;;; notice, this list of conditions and the following disclaimer. ;;; ;;; * Redistributions in binary form must reproduce the above ;;; copyright notice, this list of conditions and the following ;;; disclaimer in the documentation and/or other materials ;;; provided with the distribution. ;;; ;;; THIS SOFTWARE IS PROVIDED BY THE AUTHOR 'AS IS' AND ANY EXPRESSED ;;; OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED ;;; WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ;;; ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY ;;; DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL ;;; DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE ;;; GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS ;;; INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, ;;; WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING ;;; NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS ;;; SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. ;;; (in-package :chaos) #|============================================================================== System: CHAOS Module: comlib File: error.lisp ==============================================================================|# #-:chaos-debug (declaim (optimize (speed 3) (safety 0) #-GCL (debug 0))) #+:chaos-debug (declaim (optimize (speed 1) (safety 3) #-GCL (debug 3))) ;;; ********************* ;;; STANDRD ERROR HANDLER ;;; ********************* ;;; - catches tag 'chaos-main-error ;;; ;;; << IMPORTANT ASSUMPTION >> ;;; - every chaos AST evaluators report errors by themselves ;;; and then call 'chaos-error with non-nil value. ;;; << SHOULD >> ;;; - users should do anything with-in a body of `with-chaos-error' or ;;; catch 'chaos-main-error by themselves. ;;; (declaim (special *suppress-err-handler-msg*)) (defvar *suppress-err-handler-msg* nil) ;;; SIGNAL STANDRD ERROR ;;; (defun chaos-error (err-value) (flush-all) (throw 'chaos-main-error err-value)) ;;; HANDLER ;;; (defun get-chaos-error-proc (val) (if (symbolp val) (get val ':chaos-error-handler) nil)) (defmacro with-chaos-error ((&optional error-proc) &body body) (if error-proc ` (let ((ret-val nil)) (let ((val (catch 'chaos-main-error (setq ret-val (progn ,@body)) nil))) (if val (funcall ,error-proc val) ret-val))) ` (let ((ret-val nil)) (let ((val (catch 'chaos-main-error (setq ret-val (progn ,@body)) nil))) (if val (let ((std-proc (get-chaos-error-proc val))) (if std-proc (funcall std-proc val) (chaos-to-top))) ret-val))))) (defun chaos-indicate-position () (unless *suppress-err-handler-msg* (when *chaos-input-source* ; nil means may be from terminal (format t "~%filename: ~a" (namestring *chaos-input-source*)) (when (file-position *standard-input*) (format t " in top-level form ending at character position: ~d" (file-position *standard-input*))) (terpri)))) (defun chaos-to-top (&rest ignore) (declare (ignore ignore)) (fresh-line) (chaos-indicate-position) (unless *suppress-err-handler-msg* (format t "~%** returning to top level~%")) (throw 'chaos-top-level-error t)) (defmacro with-chaos-top-error ((&optional error-proc) &body body) (if error-proc ` (let ((ret-val nil)) (let ((val (catch 'chaos-top-level-error (setq ret-val (progn ,@body)) nil))) (if val (funcall ,error-proc val) ret-val))) ` (let ((ret-val nil)) (let ((val (catch 'chaos-top-level-error (setq ret-val (progn ,@body)) nil))) (if val (let ((std-proc (get-chaos-error-proc val))) (if std-proc (funcall std-proc val) ;; we assume no more error handlers. nil)) ret-val))))) (defmacro ignoring-chaos-error (&body body) ` (catch 'chaos-top-level-error (catch 'chaos-main-error ,@body))) ;;; EOF cafeobj-1.5.4/comlib/fsys.lisp0000644000000000000000000005006212605345045014741 0ustar rootroot;;;-*- Mode:Lisp; Syntax:Common-Lisp; Package:CHAOS -*- ;;; ;;; Copyright (c) 2000-2015, Toshimi Sawada. All rights reserved. ;;; ;;; Redistribution and use in source and binary forms, with or without ;;; modification, are permitted provided that the following conditions ;;; are met: ;;; ;;; * Redistributions of source code must retain the above copyright ;;; notice, this list of conditions and the following disclaimer. ;;; ;;; * Redistributions in binary form must reproduce the above ;;; copyright notice, this list of conditions and the following ;;; disclaimer in the documentation and/or other materials ;;; provided with the distribution. ;;; ;;; THIS SOFTWARE IS PROVIDED BY THE AUTHOR 'AS IS' AND ANY EXPRESSED ;;; OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED ;;; WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ;;; ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY ;;; DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL ;;; DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE ;;; GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS ;;; INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, ;;; WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING ;;; NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS ;;; SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. ;;; (in-package :CHAOS) #|============================================================================== System: Chaos Module: comlib File: fsys.lisp ==============================================================================|# #-:chaos-debug (declaim (optimize (speed 3) (safety 0) #-GCL (debug 0))) #+:chaos-debug (declaim (optimize (speed 1) (safety 3) #-GCL (debug 3))) #+:SBCL (eval-when (:compile-toplevel :load-toplevel :execute) (require 'sb-posix)) ;;; ***************** ;;; FILE SYSTEM UTILS___________________________________________________________ ;;; ***************** ;;; LOAD-FILE : filename ;;; UNIX dependent. (defun load-file (fname) (declare (type simple-string fname) (values t)) (when (and (eql #\~ (char fname 0)) (eql #\/ (char fname 1))) (setq fname (concatenate 'string (namestring (user-homedir-pathname)) (subseq fname 2)))) (load fname)) #-GCL (declaim (ftype (function ((or simple-string pathname)) simple-string) expand-file-name)) (defun expand-file-name (fname) (declare (type (or simple-string pathname) fname) (values simple-string)) (if (pathnamep fname) (namestring fname) (progn (setq fname (namestring fname)) (if (equal "~" fname) (namestring (user-homedir-pathname)) (if (and (eql #\~ (char fname 0)) (eql #\/ (char fname 1))) (concatenate 'string (namestring (user-homedir-pathname)) (subseq fname 2)) fname))))) ;;; DOFILE ;;; Opens the specified file for input, reads successive lines ;;; from the file, setting the specified variable to ;;; each line. When end of file is reached, the value of ;;; is returned. (defmacro dofile ((var filename &optional return-form) &body body) (let ((eof (gensym "EOF")) (stream (gensym "STREAM"))) `(with-open-file (,stream ,filename :direction :input) (do ((,var (read-line ,stream nil ,eof) (read-line ,stream nil ,eof))) ((eq ,var ,eof) ,return-form) ,@body)))) ;;; ;;; ;;; (defun is-directory? (path) (declare (type (or pathname simple-string) path)) (let ((dpath (expand-file-name path))) #+(or GCL CMU :openmcl) (probe-file (concatenate 'string dpath "/")) #+:SBCL (let ((directory-delimiter "/") ; sbcl uses / on all platforms! (p (probe-file dpath))) (if p (and (string-equal (subseq (namestring p) (1- (length (namestring p)))) directory-delimiter) p) nil)) #+:Allegro (if (excl:file-directory-p dpath) (pathname (concatenate 'string dpath "/")) nil) #+(and :CCL (not :openmcl)) (if (directoryp dpath) dpath nil) #+:CLISP (let ((p (concatenate 'string dpath "/"))) (if (directory p) ;; (ext:probe-directory path) p nil)))) (defun is-simple-file-name? (path) (declare (type (or simple-string pathname) path) (values (or null t))) (if (pathnamep path) (null (pathname-directory path)) (if (stringp path) (let ((dir (pathname-directory (pathname path)))) (if (or (null dir) (equal '(:relative) dir)) t nil)) (error "is-simple-file-name? : given non string arg ~a" path)))) (defun is-relative-file-name? (path) (declare (type (or simple-string pathname) path) (values (or null t))) (let ((pn (if (pathnamep path) path (if (stringp path) (pathname path) (error "is-relative-file-name? : given non string arg ~a" path))))) (if (or (null (pathname-directory pn)) (member ':relative (pathname-directory pn) :test #'equal)) t nil))) (defun supply-suffixes (path suffixes) (declare (type (or simple-string pathname) path) (type list suffixes) (values list)) #+:SBCL (when (position #\. (if (pathnamep path) (pathname-name path) path) :from-end t) (return-from supply-suffixes (list path))) (mapcar #'pathname (mapcar #'(lambda (x) (concatenate 'string (namestring path) (namestring x))) suffixes))) (defun chaos-probe-file (file load-path suffixes) (declare (type (or simple-string pathname) file) (type (or simple-string list) load-path) (type list suffixes)) (when (and (pathnamep file) (not (is-directory? file))) (return-from chaos-probe-file (probe-file file))) ;; (setq file (expand-file-name file)) (when (atom suffixes) (setq suffixes (list suffixes))) (when (and load-path (atom load-path)) (setq load-path (list load-path))) ;; (cond ((is-relative-file-name? file) (let ((file-path (chaos-get-relative-path* (concatenate 'string "./" file))) (res nil)) ;; (setq res (probe-file file-path)) (when (and res (is-directory? res)) (setq res nil)) (unless res (dolist (fx (supply-suffixes file-path suffixes)) (when (and (probe-file fx) (not (is-directory? fx))) (setq res fx) (return))) ;; search through load paths (unless res (dolist (lpath load-path) (let ((libdir (is-directory? lpath))) (declare (type (or null string pathname) libdir)) (when libdir (unless (pathnamep libdir) (setq libdir (pathname libdir))) (let ((f (make-pathname :host (pathname-host libdir) :device (pathname-device libdir) :directory #+:CLISP libdir ;; #+:Allegro (namestring libdir) #-:CLISP (pathname-directory libdir) :name (namestring file)))) (if (and (probe-file f) (not (is-directory? f))) (progn (setq res f) (return)) (let ((x (supply-suffixes f suffixes))) (dolist (fx x) (when (and (probe-file fx) (not (is-directory? fx))) (setq res fx) (return))))))))))) res)) (t (let ((file-path (chaos-get-relative-path* file))) (if (and (probe-file file-path) (not (is-directory? file-path))) file-path (dolist (fx (supply-suffixes file-path suffixes)) (when (and (probe-file fx) (not (is-directory? fx))) (return-from chaos-probe-file fx)))))))) (defun bare-chaos-pwd () #+GCL (probe-file ".") #+EXCL (excl::current-directory) #+CMU (ext:default-directory) #+:SBCL (car (directory "./")) #+:CCL (mac-default-directory) #+:CLISP (car (lisp:directory "./"))) (defun chaos-pwd () (declare (values simple-string)) (namestring (bare-chaos-pwd))) (defun chaos-relative-pathname? (f-name) (let ((fdp (pathname-directory (pathname f-name)))) (or (null fdp) (and fdp ; not simple file name. (not (eq (car (pathname-directory (pathname f-name))) :root)))))) (defun chaos-get-relative-path (f-name) (setq f-name (expand-file-name f-name)) (chaos-get-relative-path* f-name)) ; #+:SBCL ; (defun chaos-get-directory (file-path) ; (let* ((ns (namestring file-path)) ; (dpos (position #\/ ns :from-end t)) ; (dir nil)) ; (unless dpos ; (with-output-chaos-error ('internal-error) ; (format t ":get-relative-path: could not find proper directory path, ~a" file-path))) ; (subseq ns 0 (1+ dpos)))) #+(or :Allegro :SBCL) (defun chaos-get-directory (file-path) (unless (pathnamep file-path) (setq file-path (pathname file-path))) (let ((dir-path (make-pathname :host (pathname-host file-path) :device (pathname-device file-path) :directory (pathname-directory file-path)))) ;;(namestring dir-path) dir-path)) (defun chaos-get-relative-path* (f-name) (if (null *chaos-input-source*) (pathname f-name) (if (chaos-relative-pathname? f-name) (let ((f-path nil)) (unwind-protect (let ((host (pathname-host (pathname f-name))) (device (pathname-device (pathname f-name))) (fd (pathname-directory (pathname f-name))) (f (file-namestring (pathname f-name)))) ;; #-GCL (declare (ignore fd)) ;; (chaos-pushd (directory-namestring *chaos-input-source*)) (chaos-pushd (chaos-get-directory *chaos-input-source*)) #+GCL (setq f-path (truename (make-pathname :directory fd :name f))) #+:CLISP (setq f-path (make-pathname :host host :device device :directory fd ;; (pathname fd) :name f)) #-(or GCL :CLISP) (progn (setq f-path (make-pathname :host host :device device :directory fd :name f)))) (chaos-popd)) f-path) ;; absolute path or simple filename. (pathname f-name)))) #+(or (and CCL (not :openmcl)) :microsoft) (defun chaos-ls (&optional (dir "**")) (pprint (mapcar #'(lambda (x) (file-namestring x)) (directory dir)))) #+(or GCL LUCID (and EXCL (not :microsoft)) CLISP :openmcl SBCL) (defun chaos-ls (&optional dir) (let ((comm '("ls")) (args (if (and dir (atom dir)) (list dir) dir))) (setq comm (reduce #'(lambda (x y) (concatenate 'string x " " y)) (append comm args))) #+GCL (system comm) #+EXCL (excl:shell comm) #+SBCL (apply #'sb-ext:run-program #+win32 "CMD" #-win32 "/bin/sh" #+win32 (list "/c" "dir") #-win32 (list "-c" comm) :input nil :output *terminal-io* #+win32 '(:search t) #-win32 nil) #+LUCID (lucid::%execute-system-command comm) #+CLISP (ext::shell comm))) #+(or CMU :openmcl) (defun chaos-ls (&optional args) (if (and args (atom args)) #+CMU (ext::run-program "ls" (list args) :output t) #+:openmcl (ccl::run-program "ls" (list args) :output t) #+CMU (if args (ext::run-program "ls" args :output t) (ext::run-program "ls" nil :output t) ) #+:penmcl (if args (ccl::run-program "ls" args :output t) (ccl::run-program "ls" nil :output t)))) (defvar *chaos-directory-stack* nil) (defun chaos-print-directory-stack (&optional (stream *standard-output*)) (format stream "~%~a" *chaos-directory-stack*)) (defun fsys-parse-number (tok) (declare (type (or simple-string pathname) tok)) (if (stringp tok) (let ((minusp nil)) (if (char= (char tok 0) #\-) (setq minusp t) (unless (char= (char tok 0) #\+) (return-from fsys-parse-number (values tok nil)))) (let ((num (read-from-string tok))) (if (numberp num) (values num minusp) (values tok nil)))) (values tok nil))) (defun chaos-pushd (arg &optional (always-return nil)) (let ((path arg)) (cond (arg (multiple-value-bind (num minusp) (fsys-parse-number arg) (cond ((numberp num) (let ((new-stack (rotate-list *chaos-directory-stack* num minusp))) (if new-stack (setq *chaos-directory-stack* new-stack) (with-output-chaos-warning () (format t "directory stack is not so deep.") (return-from chaos-pushd nil))) (setq path (car *chaos-directory-stack*)))) (t (push :dymmy *chaos-directory-stack*))) (if (chaos-cd path always-return) t (progn (pop *chaos-directory-stack*) nil)))) (t (if (<= (length *chaos-directory-stack*) 1) (with-output-chaos-warning () (format t "No other directory.") (return-from chaos-pushd nil)) (chaos-pushd "+1")))))) (defun chaos-popd (&optional num) (declare (ignore num)) (if (cdr *chaos-directory-stack*) (let ((xd nil)) (pop *chaos-directory-stack*) (setq xd (car *chaos-directory-stack*)) (chaos-cd xd)) ;; do nothig #|| (with-output-chaos-warning () (format t "directory stack is empty!")) ||# )) (defun chaos-cd (path &optional (always-return nil)) (let ((directory-path nil) (ng nil)) (unless path (setq path (user-homedir-pathname))) #+GCL (let ((si::*break-enable* nil)) (if (setq directory-path (is-directory? path)) (system:chdir directory-path) (setq ng t))) #+CMU (if (setq directory-path (is-directory? path)) (progn (lisp::%set-default-directory directory-path)) (setq ng t)) #+EXCL (if (setq directory-path (is-directory? path)) (excl::chdir directory-path) (setq ng t)) #+:openmcl (if (setq directory-path (is-directory? path)) (progn (ccl::%chdir (namestring directory-path))) (setq ng t)) #+SBCL (if (setq directory-path (is-directory? path)) (progn (setq *default-pathname-defaults* directory-path) (sb-posix:chdir directory-path)) (setq ng t)) #+(and :CCL (not :openmcl)) (if (setq directory-path (is-directory? path)) (set-mac-default-directory directory-path) (setq ng t)) #+:CLISP (if (setq directory-path (is-directory? path)) (setq *default-pathname-defaults* (ext:cd directory-path)) (setq ng t)) ;; (cond (ng (with-output-chaos-warning () (format t "directory \"~a\" not found." path)) (if always-return (return-from chaos-cd nil) (chaos-error 'no-such-directory))) (t (let ((cwd (chaos-pwd))) #|| #-CLISP (setq *default-pathname-defaults* cwd) #+CLISP ||# (setq *default-pathname-defaults* (pathname cwd)) (if *chaos-directory-stack* (setf (car *chaos-directory-stack*) *default-pathname-defaults*) (setf *chaos-directory-stack* (list *default-pathname-defaults*)))))) *default-pathname-defaults*)) (defparameter *chaos-binary-magic* ";CHAOS_BINS_____") (defun chaos-binary-file? (file) (with-open-file (*standard-input* file :direction :input) (let ((magic (read-line))) (equal magic *chaos-binary-magic*)))) (defparameter *chaos-bin-suffix* '(".bin")) (defun chaos-input-file (&key file ; input file name proc ; procedure load-path ; list of pathnames (suffix '(".cafe" ".mod")) args ; args to be passed to proc (errorp t) ; ) (let ((fname (chaos-probe-file file load-path suffix)) (bin-fname (chaos-probe-file file load-path *chaos-bin-suffix*))) (when (and fname (is-directory? fname)) (with-output-chaos-error ('invalid-file) (format t "~a is not a proper file." (namestring file))) (return-from chaos-input-file nil)) (unless (or fname bin-fname) (if errorp (with-output-chaos-error ('no-such-file) (format t "no such file: ~a" (namestring file))) (return-from chaos-input-file nil) )) (when (and bin-fname fname (>= (file-write-date bin-fname) (file-write-date fname))) (setq fname bin-fname)) (unless fname (setq fname bin-fname)) (when (equal *chaos-input-source* fname) (return-from chaos-input-file t)) (let ((*chaos-input-source* fname) (*chaos-input-level* (1+ *chaos-input-level*))) (if (chaos-binary-file? fname) (progn (load fname) fname) (with-open-file (*standard-input* fname :direction :input) (when (< *chaos-input-nesting-limit* *chaos-input-level*) (with-output-chaos-warning () (format t "input nesting is ~d~%" *chaos-input-level*) (print-next) (princ "probable input loop (can increase *chaos-input-nesting-limit*)") )) (apply proc args) fname ))))) ;;; (defun set-search-path (paths) (when (consp paths) (setq paths (car paths))) (let ((path nil)) (dolist (p (parse-with-delimiter paths #\:)) (push p path)) (setq *chaos-libpath* (nreverse path)))) (defun set-search-path-plus (paths) (when (consp paths) (setq paths (car paths))) (let ((path nil)) (dolist (p (parse-with-delimiter paths #\:)) (push p path)) (setq *chaos-libpath* (append (nreverse path) *chaos-libpath*)))) (defun set-search-path-minus (paths) (when (consp paths) (setq paths (car paths))) (let ((path nil)) (dolist (p (parse-with-delimiter paths #\:)) (push p path)) (dolist (p path) (if (not (member p *chaos-libpath* :test #'equal)) (with-output-chaos-warning () (format t "The path ~s does not in 'libpath'." p)) (setq *chaos-libpath* (remove p *chaos-libpath* :test #'equal)))) *chaos-libpath*)) (defun pr-search-path (&optional (stream *standard-output*)) (format stream "libpath = ~{~a~^:~}" *chaos-libpath*)) ;;; ;;; INITIALIZATION ;;; (defun chaos-initialize-fsys () ;; any other? (setq *chaos-directory-stack* nil) (push (setq *default-pathname-defaults* (bare-chaos-pwd)) *chaos-directory-stack*) ;; very old stuff #+(and :ccl (not :openmcl)) (progn (setq *default-pathname-defaults* (full-pathname (mac-default-directory))) (set-mac-default-directory *default-pathname-defaults*))) ;;; EOF cafeobj-1.5.4/comlib/globals.lisp0000644000000000000000000005546712605345045015416 0ustar rootroot;;;-*- Mode:LISP; Package:CHAOS; Base:10; Syntax:Common-lisp -*- ;;; ;;; Copyright (c) 2000-2015, Toshimi Sawada. All rights reserved. ;;; ;;; Redistribution and use in source and binary forms, with or without ;;; modification, are permitted provided that the following conditions ;;; are met: ;;; ;;; * Redistributions of source code must retain the above copyright ;;; notice, this list of conditions and the following disclaimer. ;;; ;;; * Redistributions in binary form must reproduce the above ;;; copyright notice, this list of conditions and the following ;;; disclaimer in the documentation and/or other materials ;;; provided with the distribution. ;;; ;;; THIS SOFTWARE IS PROVIDED BY THE AUTHOR 'AS IS' AND ANY EXPRESSED ;;; OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED ;;; WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ;;; ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY ;;; DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL ;;; DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE ;;; GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS ;;; INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, ;;; WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING ;;; NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS ;;; SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. ;;; (in-package :chaos) #|============================================================================== System: CHAOS Module: comlib File: globals.lisp ==============================================================================|# #-:chaos-debug (declaim (optimize (speed 3) (safety 0) #-GCL (debug 0))) #+:chaos-debug (declaim (optimize (speed 1) (safety 3) #-GCL (debug 3))) ;;; == DESCRIPTION ============================================================= ;;; This file gathers the declaration of global/special variables of CHAOS ;;; system. ;;; ;;;******************** ;;; RUNTIME ENVIRONMENT_________________________________________________________ ;;;******************** ;;; ;;; In Chaos, all of the works are done in a `context'. ;;; A context is a dag of modules with importation relation as arrows, ;;; the top node (module) is called `current module'. ;;; ;;; The current module and its some frequently accessed informations are ;;; bound to global variables providing run time environment. ;;; ;;; *current-module* : the current-module ;;; *current-sort-order* : transitive closure of sort relations of ;;; current-mdoule. ;;; *current-opinfo-table* : operator information table of the current-module. ;;; *current-ext-rule-table* : extented rules for A, and AC ;;; (declaim (special *current-module* ; the module currently the target of ; operations. *current-sort-order* ; closure of sort relations of current ; module. *current-opinfo-table* ; operator information table of the ; current module. *current-ext-rule-table* *top-level-definition-in-progress* *on-preparing-for-parsing* ; parsing preparation in progress )) (defvar *top-level-definition-in-progress* nil) ;;; *open-module* bounds the 'opening' module. ;;; (declaim (special *open-module* ; the module crrently opened. *last-before-open* ; the module which was *last* before the ; currently opened module. )) (defvar *current-module* nil) (defvar *current-sort-order* nil) (defvar *current-opinfo-table* nil) (defvar *current-ext-rule-table* nil) (defvar *open-module* nil) (defvar *last-before-open* nil) ;;; Feature for require & provide ;;; (defvar *chaos-features* nil) ;;; Some top level flags & variables.-------------------------------------------- (declaim (special *chaos-verbose* *chaos-quiet* *chaos-input-source*)) (defvar *chaos-verbose* nil) (defvar *chaos-quiet* nil) (defvar *chaos-input-source* nil) ; binds a file name when processing ; input from the file. (declaim (special *chaos-input-level*) (type (integer 0 11) *chaos-input-level* *chaos-input-nesting-limit*)) (defvar *chaos-input-level* 0) (defvar *chaos-input-nesting-limit* 10) (declaim (special *auto-context-change*)) (defvar *auto-context-change* nil) (defvar *system-prelude-dir* nil) (defvar *system-lib-dir* nil) (defvar *system-ex-dir* nil) ;;; *********************************** ;;; CONTROLL FLAGS OF REWRITING PROCESS_________________________________________ ;;; *********************************** (declaim (special *trace-level*)) (declaim (type (integer 0 256) *trace-level*)) (defvar *trace-level* 0) (declaim (special *self*)) (defvar *self* nil) (defvar $$cond nil) (defvar $$trace-rewrite nil) ; flag, non-nil -> trace. (defvar $$trace-rewrite-whole nil) ; flag, non-nil -> trace whole. (defvar $$trace-proof nil) ; flag, non-nil -> trace CITP proof. ;;; *proof-tree* binds current proof tree structure (defvar *proof-tree* nil) (defvar *next-default-proof-node* nil) (defvar *citp-verbose* nil) (defvar *citp-normalize-instance* t) (defvar *rewrite-stepping* nil) ; flag, non-nil -> under stepping. (declaim (type (or null fixnum) *rewrite-count-limit*)) (defvar *rewrite-count-limit* nil) ; flag, non-nil(integer) -> limitation ; for rewriting steps. (defvar *rewrite-stop-pattern* nil) ; flag, non-nil(term) -> stop rewriting ; iff matches to the pattern. (defvar *steps-to-be-done* nil) ; remaining steps before stop (defvar $$mod 'void) ;;; (defvar *old-context* nil) (declaim (special *old-context*)) (declaim (special *allow-$$term*)) (defvar *allow-$$term* t) (defvar $$term 'void) ; current target term, destructively ; modified (defvar $$subterm nil) ; subterm of $$term selected (defvar $$term-context nil) ; context module of $$term (defvar $$selection-stack nil) (defvar $$action-stack nil) ;;; (defvar $$norm 'void) (defvar $$show-red nil) (defvar *perform-on-demand-reduction* t) (declaim (special *rewrite-exec-mode*)) (defvar *rewrite-exec-mode* nil) (declaim (special *cexec-target*)) (defvar *cexec-target* nil) (declaim (special *rewrite-exec-condition*)) (defvar *rewrite-exec-condition* nil) (declaim (special *rewrite-semantic-reduce*) (type (or null (not null)) *rewrite-semantic-reduce)) (defvar *rewrite-semantic-reduce* nil) (declaim (special *beh-rewrite*) (type (or null (not null)) *beh-rewrite*)) (defvar *beh-rewrite* nil) (declaim (type fixnum *rule-count*) (special *rule-count*)) (defvar *rule-count* 0) (defvar *show-stats* t) (defvar *try-try* nil) (defvar *reduce-conditions* nil) (declaim (type fixnum $$trials)) (defvar $$trials 1) (declaim (type fixnum $$matches) (special $$matches)) (defvar $$matches 0) (defvar *on-reduction* t) (defvar *reduce-builtin-eager* nil) ;; (declaim (type fixnum *condition-trial-limit*)) (defparameter .condition-trial-limit-default. #+GCL 240 #-GCL 5500) (defvar *condition-trial-limit* .condition-trial-limit-default.) ;;; MEL support (defvar *mel-sort* nil) (defvar *mel-always* nil) ;;; (defvar *mel-reduce* nil) ;;; := (defvar *m-pattern-subst* nil) ;; memoization (defvar *memo-rewrite* t) ; use memo mechanism (defvar *clean-memo-in-normalize* nil) (defvar *always-memo* nil) (declaim (special *hash-hit*) (type (unsigned-byte 29) *hash-hit*)) (defvar *term-memo-hash-hit* 0) (defvar *allow-illegal-beh-axiom* t) ;;;********************* ;;; REGULARIZING CONTROL_______________________________________________________ ;;;********************* (declaim (special *regularize-signature*)) (defvar *regularize-signature* nil) (defvar *check-regularity* nil) ;;;******************** ;;; COMPATIBILITY CHECK________________________________________________________ ;;;******************** (declaim (special *check-compatibility*)) (defvar *check-compatibility* nil) ;;;*************** ;;; SENSIBLE CHECK_____________________________________________________________ ;;;*************** (declaim (special *check-sensibleness*)) (defvar *check-sensibleness* nil) ;;;********** ;;; COHERENCY__________________________________________________________________ ;;;********** (declaim (special *check-rwl-coherency*)) (defvar *check-rwl-coherency* nil) ;;;************************** ;;; BUILTIN OVERLOADING CHECK__________________________________________________ ;;;************************** (declaim (special *builtin-overloading-check*)) (defvar *builtin-overloading-check* t) ;;; Flags for printer control._________________________________________________ ;;;*************************** (declaim (special *print-indent*)) (declaim (type (integer 0 128) *chaos-print-level* *print-indent* *print-indent-increment*)) ;; (defvar *chaos-verbose* nil) (defvar *module-all-rules-every* nil) (defvar *fancy-print* t) (defvar *print-term-struct* nil) (defvar *print-xmode* :normal) (defvar *show-mode* :cafeobj) ; one of :chaos or :cafeobj (defvar *print-indent* 0) (defparameter *print-indent-increment* 1) (defvar *print-explicit* nil) ;if t then give more detail on sorts, etc. (defvar *print-abbrev-mod* nil) ; abbreviate module names (defvar *print-abbrev-num* 0) (defvar *print-abbrev-table* nil) (defvar *print-abbrev-quals* nil) (defvar *print-with-sort* nil) (defvar *print-operator-table* nil) (defvar *print-flag-module-values* nil) (defvar *print-indent-contin* nil) (defvar *print-line-limit* 2000) (defvar *print-mode* nil) (defvar *print-all-eqns* nil) (defvar *print-exec-rule* nil) (defvar *print-ignore-mods* nil) (defvar *chaos-print-level* 5) (defvar *chaos-print-length* 100) (defvar *chaos-print-errors* nil) (defvar *chaos-input-quiet* nil) (defvar *print-variables* nil) (declaim (special .file-col.) (type fixnum .file-col.)) (defvar .file-col. 0) ;;; (declaim (type (or null fixnum) *term-print-depth*)) (defvar *term-print-depth* nil) ;;; CafeOBJ variables (defvar *cafeobj-input-quiet* nil) (defvar $) (defvar -cafeobj-load-time- nil) (defvar *cafeobj-standard-prelude-path* nil) ;;; NOT USED ;;; GRAMMAR ;;; ;;; *GRM.CURRENT* is a grammar to which the following operations are to be applied. ;;; define.grm-rule ;;; grm.clear-rule ;;; set by 'in.grammar' operation. ;;; ;;;(defvar *grm.current* nil) ;;; *CHAOS.CURRENT-GRAMMAR* is a list of grammar with which the `grm.parse' works. ;;; set by 'use.grammar' operation. (see "term-parser.lisp") ;;; ;;; (defvar *chaos.current-grammar* nil) ;;; ERROR TAGS ---------------------------------------------------------------- ;;; (defvar *module-not-found-error* 'Module-Not-found) ;;; (defvar *sort-not-found-error* 'sort-not-found) ;;; (defvar *operator-not-found-error* 'operator-not-found) ;;; ;;;============================================================================= ;;; BUILTIN SORTS ;;;============================================================================= ;; NAMES of Builtin sort. (defconstant $name-sort '|*Sort*|) (defconstant $name-gen-sort '|_ GeneralSort _|) (defconstant $name-bi-sort '|*BuiltinSort*|) (defconstant $name-identifier '|*Identifier*|) (defconstant $name-cosmos '|*Cosmos*|) (defconstant $name-universal '|*Universal*|) (defconstant $name-huniversal '|*HUniversal*|) (defconstant $name-term '|*Term*|) (defconstant $name-bottom '|_ Bottom _|) (defconstant $name-hbottom '|_ HBottom _|) (defconstant $name-record '|_ Record _|) (defconstant $name-class '|_ Class _|) (defconstant $name-and-sort '|_ ^-Sort _|) (defconstant $name-or-sort '|_ \|-Sort _|) (defconstant $name-err-sort '|_ ?-Sort _|) (defconstant $name-operator '|*Operator*|) (defconstant $name-optheory '|*OpTheory*|) (defconstant $name-module '|*Module*|) (defconstant $name-signature '|*Signature*|) (defconstant $name-axiomset '|*AxiomSet*|) (defconstant $name-trs '|*Trs*|) (defconstant $name-axiom '|*Axiom*|) (defconstant $name-chaos-object '|*ChaosObject*|) (defconstant $name-chaos-expr '|*CafeExpr*|) (defconstant $name-term-type '|*TermType*|) (defconstant $name-chaos-list '|*CafeList*|) (defconstant $name-void '|*Void*|) (defconstant $name-import '|*Import*|) (defconstant $name-subst '|*Substitution*|) (defconstant $name-parameter '|*Parameter*|) ;;; builtin sorts (defvar *cosmos* 'void) ; the whole (defvar *chaos-object* 'void) (defvar *chaos-expr-sort* 'void) (defvar *term-sort* 'void) (defvar *universal-sort* 'void) ; visible universe (defvar *huniversal-sort* 'void) ; hidden universe (defvar *bottom-sort* 'void) ; visible bottom sort (defvar *hbottom-sort* 'void) ; hidden bottom sort (defvar *sort-sort* 'void) (defvar *general-sort* 'void) (defvar *builtin-sort* 'void) (defvar *identifier-sort* 'void) (defvar *id-sort* 'void) (defvar *qid-sort* 'void) (defvar *syntax-err-sort* 'void) (defvar *type-err-sort* 'void) (defvar *op-err-sort* 'void) (defvar *and-sort* 'void) (defvar *or-sort* 'void) (defvar *err-sort* 'void) (defvar *sort-error* 'none) (defvar *record-sort* 'void) (defvar *class-sort* 'void) (defvar *operator-sort* 'void) (defvar *optheory-sort* 'void) (defvar *module-sort* 'void) (defvar *import-sort* 'void) (defvar *signature-sort* 'void) (defvar *axiomset-sort* 'void) (defvar *trs-sort* 'void) (defvar *variable-sort* 'void) (defvar *appl-form-sort* 'void) (defvar *pvariable-sort* 'void) (defvar *lisp-term-sort* 'void) (defvar *slisp-term-sort* 'void) (defvar *glisp-term-sort* 'void) (defvar *bconst-term-sort* 'void) (defvar *modexpr-sort* 'void) (defvar *chaos-list-sort* 'void) (defvar *chaos-void-sort* 'void) (defvar *bool-sort* 'void) (defvar *sort-id-sort* 'void) (defvar *string-sort* 'void) (defvar *chaos-value-sort* 'void) (defvar *character-sort* 'void) (defvar *axiom-sort* 'void) (defvar *object-identifier-sort* 'void) (defvar *object-sort* 'void) (defvar *record-instance-sort* 'void) (defvar *class-id-sort* 'void) (defvar *record-id-sort* 'void) (defvar *attribute-id-sort* 'void) (defvar *attribute-sort* 'void) (defvar *attribute-list-sort* 'void) (defvar *attr-value-sort* 'void) (defvar *message-sort* 'void) (defvar *configuration-sort* 'void) (defvar *acz-configuration-sort* 'void) (defvar *subst-sort* 'void) (defvar *sort_builtin* 'void) (defvar *parameter-sort* 'void) (defvar *condition-sort* 'void) (defvar sup-universal-sort-name nil) (defvar sup-huniversal-sort-name nil) ;;;============================================================================= ;;; Builtin modules & operations. ;;; Operations in some builtin modules. ;;;============================================================================= (defvar *system-standard-prelude* nil) (defvar *system-soft-wired* nil) (defvar *kernel-hard-wired-builtin-modules* nil) ;;; *SYSTEM-MODULE* (defvar *system-module* nil) ;;; *CHAOS-MODULE* ;;; bounds built in module CHAOS. (defvar *chaos-meta* nil) (defvar *chaos-module* nil) (defvar *chaos-object-module* nil) (defvar *builtin-metalevel-sort* (make-hash-table)) ;;; (defvar *string-not-found* nil) ;;; *CHAOS-SORT-ORDER* holds the transitive closure of sort relations between ;;; builtin sorts. This is a value of slot 'sort-order' of builtin module ;;; CHAOS (buoud to global *chaos-module*). ;;; (defvar *chaos-sort-order* 'void) ;;; *PARSER-SORT-ORDER* (defvar *parser-sort-order* 'void) ;;; HARD-WIRED CHAOS MODULE (defvar *system-object-module* nil) (defvar *identifier-module* nil) (defvar *universal-module* nil) (defvar *parser-module* nil) (defvar *qid-module* nil) (defvar *id-module* nil) (defvar .int-module. nil) ;;; Some operators & methods of CHAOS module. ;;; these are used for representing builtin constant and ill-formed terms ;;; at parsing time. ;;; (defvar *builtin-method* nil) (defvar *builtin-op* nil) (defvar *partial-op* nil) (defvar *void-op* nil) (defvar *partial-method* nil) (defvar *void-method* nil) (defvar *type-err-op* nil) (defvar *type-err-method* nil) (defvar *op-err-op* nil) (defvar *op-err-method* nil) (defvar *op-term* nil) ;;; TRUTH, BOOL & IDENTICAL Module ;;;----------------------------------------------------------------------------- (defvar *TRUTH-VALUE-module* 'void) (defvar *TRUTH-module* 'void) (defvar *BOOL-module* 'void) (defvar *IDENTICAL-module* nil) (defvar *EQL-module* nil) (defvar *bootstrapping-bool* nil) ;;; basic operations in TRUTH & BOOL ;;;----------------------------------------------------------------------------- (defvar *bool-true* 'void) (defvar *bool-true-meth* 'void) (defvar *bool-false* 'void) (defvar *bool-false-meth* 'void) (defvar *bool-and* 'void) (defvar *bool-or* 'void) (defvar *bool-not* 'void) (defvar *sort-membership* 'void) (defvar *bool-if* 'void) (defvar *bool-imply* 'void) (defvar *bool-xor* 'void) (defvar *bool-equal* 'void) (defvar *bool-match* 'void) (defvar *beh-equal* 'void) (defvar *bool-nonequal* 'void) (defvar *beh-eq-pred* 'void) (defvar *bool-and-also* 'void) (defvar *bool-or-else* 'void) (defvar *bool-iff* 'void) (defvar *bool-cond-op* 'void) (defvar *eql-op* 'void) (defvar *m-and-op* nil) (defvar *m-or-op* nil) ;;; RWL ;;;----------------------------------------------------------------------------- (defvar *rwl-module* 'void) (defvar *rwl-nat-star-sort* 'void) (defvar *rwl-predicate* 'void) (defvar *rwl-predicate2* 'void) ;;; search command related (defvar .rwl-sch-context. nil) (defvar .rwl-context-stack. nil) (defvar .rwl-states-so-far. 0) (defvar *rwl-search-no-state-report* nil) ;;; basic operations in IDENTICAL. ;;;----------------------------------------------------------------------------- (defvar *identical* 'void) (defvar *nonidentical* 'void) ;;; constructors for record, object, attribute list. ;;;----------------------------------------------------------------------------- (defvar *attribute-constructor* nil) (defvar *attribute-list-constructor* nil) (defvar *attribute-list-aux-variable* nil) (defvar *object-reference-method* nil) (defvar *object-constructor-method* nil) (defvar *object-constructor-op* nil) (defvar *record-constructor-method* nil) (defvar *record-constructor-op* nil) (defvar *void-object* nil) (defvar *void-record* nil) ;;; *************** ;;; READER & PARSER_____________________________________________________________ ;;; *************** (declaim (special *parse-variables* *fill-rc-attribute* *lhs-attrid-vars* *parsing-axiom-lhs* *parse-lhs-attr-vars*)) ; binds variables during a parsing ; process. (declaim (special *reader-schema-env* ; current schema. *reader-input* ; current token sequence. )) (declaim (special *macroexpand*)) ; expand macro if t (defvar *fill-rc-attribute* nil) ; a flag, t if requires generalizing the ; pattern of record/object terms. (defvar *parsing-axiom-lhs* nil) (defvar *parse-lhs-attr-vars* nil) (defvar *lhs-attrid-vars* nil) ;;; (defparameter .lisp-start-symbol. #\#) (defvar *parse-variables* nil) (defconstant parser-min-precedence 0) (defconstant parser-max-precedence 127) (defvar *reader-schema-env* nil) (defvar *reader-current-schema* nil) (defvar *reader-current-context* nil) (defvar *reader-starting-position* nil) (defvar *builtin-ast-dict* (make-hash-table :test #'equal)) ;;; if t, parse speed can be greatly enhanced for many cases, but produces ;;; much less dignosis infos. this is a toplevel switch. ;;; ** NOW OBSOLETE !!!!!!!! (defvar *fast-parse* t) ;;; (defvar *parse-normalize* nil) ;;; if t, expand macros at parsing time. ;;; (defvar *macroexpand* t) ;;; ********* ;;; MISC VARS___________________________________________________________________ ;;; ********* ;;; *INCLUDE-BOOL* (defvar *include-bool* t) (defvar *include-bool-save*) ;;; *INCLUDE-RWTL" (defvar *include-rwl* t) ;;; *INCLUDE-FOPL* (defvar *include-fopl* t) ;;; (defvar *compile-lisp-rhs* t) (defvar *running-with-tk* nil) (defvar *sub-prompt* nil) (defvar *consider-object* nil) (defvar *auto-reconstruct* nil) ;;; *SAVE-DEFINITION* (defvar *save-definition* t) ;;; *MODMORPH-NEW-MODULE* (declaim (special *modmorph-new-module*)) (defvar *modmorph-new-module* nil) ;;; TIMEZOE (defvar *time-zone* -9) ;;; if true, top level command interpreter accept terms in current context ;;; and evaluate (reduce) it. (defvar *allow-general-term-input* t) ;;; LIBRARY PATH (defvar *chaos-libpath* nil) ;;; (declaim (special *beh-proof-in-progress*)) (defvar *beh-proof-in-progress* nil) ;;; USER DEFINED BOOL (defvar *user-bool* nil) ;;; TRAM (defvar *tram-path* "tram") (defvar *tram-options* "") (defvar *tram-builtin-modules*) (defvar *tram-bool-modules*) ;;; EXEC (declaim (type fixnum *cexec-limit*)) (defvar *cexec-limit* most-positive-fixnum) (declaim (type (or null (not null)) *cexec-trace* *cexec-normalize*)) (defvar *cexec-trace* nil) (defvar *cexec-normalize* t) (defvar *cexec-find-all-solutions* t) ;;; BUTILTIN (defvar *compile-builtin-axiom* nil) (defvar *bi-universal-operators* nil) ;;; OPEN/CLOSE WORLD -- not used. ;;; (declaim (special *closed-world*)) ;; (defvar *closed-world* nil) ;;; ALLOW-UNIVERSAL-SORT ;;; t iff user refers to universal sorts, ;;; i.e., Universal, HUniversal, and Cosmos ;;; (defvar *allow-universal-sort* nil) ;;; AUTOLOAD (defvar *autoload-alist* nil) ;;; PARSER SETTINGS (defvar *select-ambig-term* nil) ;;; if true accept system's congruency proof of operator =*= (defvar *accept-system-proof* nil) ;;; find command control (defvar *find-all-rules* nil) ;;; NO ID COMPLETION (defvar *no-id-completion* nil) ;;; DEBUG FLAGS (defvar *rewrite-debug* nil) (defvar *on-term-hash-debug* nil) (defvar *on-axiom-debug* nil) (defvar *beh-debug* nil) (defvar *gen-rule-debug* nil) (defvar *on-change-debug* nil) (defvar *on-operator-debug* nil) (defvar *on-sort-debug* nil) (defvar *on-trs-debug* nil) (defvar *on-import-debug* nil) (defvar *on-modexp-debug* nil) (defvar *on-view-debug* nil) (defvar *match-debug* nil) (defvar *module-dep-debug* nil) (defvar *term-debug* nil) (defvar *on-parse-debug* nil) (defvar *regularize-debug* nil) (defvar *on-tram-debug* nil) (defvar *mel-debug* nil) (defvar *check-import-mode* nil) (defvar *cexec-debug* nil) (defvar *debug-meta* nil) (defvar *debug-citp* nil) (defvar *debug-print* nil) ;;; ;;; ** TO DO for other platforms #+SBCL (proclaim '(SB-EXT:DISABLE-PACKAGE-LOCKS 'SB-INT:TOPLEVEL-CATCHER)) (defvar *top-level-tag* #+KCL si::*quit-tag* #+CMU 'common-lisp::top-level-catcher #+EXCL 'top-level::top-level-break-loop #+(or LUCID :CCL) '(*quit-tag*) #+CLISP 'system::debug #+SBCL 'SB-INT:TOPLEVEL-CATCHER) ;;; EOF cafeobj-1.5.4/comlib/lex.lisp0000644000000000000000000007155012605345045014552 0ustar rootroot;;;-*- Mode:LISP; Package:CHAOS; Base:10; Syntax:Common-lisp -*- ;;; ;;; Copyright (c) 2000-2015, Toshimi Sawada. All rights reserved. ;;; ;;; Redistribution and use in source and binary forms, with or without ;;; modification, are permitted provided that the following conditions ;;; are met: ;;; ;;; * Redistributions of source code must retain the above copyright ;;; notice, this list of conditions and the following disclaimer. ;;; ;;; * Redistributions in binary form must reproduce the above ;;; copyright notice, this list of conditions and the following ;;; disclaimer in the documentation and/or other materials ;;; provided with the distribution. ;;; ;;; THIS SOFTWARE IS PROVIDED BY THE AUTHOR 'AS IS' AND ANY EXPRESSED ;;; OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED ;;; WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ;;; ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY ;;; DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL ;;; DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE ;;; GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS ;;; INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, ;;; WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING ;;; NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS ;;; SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. ;;; (in-package :chaos) #|============================================================================== System:Chaos Module:comlib File: lex.lisp ==============================================================================|# #-:chaos-debug (declaim (optimize (speed 3) (safety 0) #-GCL (debug 0))) #+:chaos-debug (declaim (optimize (speed 1) (safety 3) #-GCL (debug 3))) ;;; ************ ;;; TOKEN READER________________________________________________________________ ;;; ************ ;;; ** NOTES ON GENERAL ASSUMPTIONS AND LIMITATIONS.**************************** ;;; ;;; ;;;============================================================================= ;;; *** CHAOS BUILTIN LEXICAL CATEGORIES *** ;;;============================================================================= (eval-when (:execute :compile-toplevel :load-toplevel) (defvar *builtin-cats* (make-hash-table :test #'eq :size 50)) (defmacro define-builtin-token (token-name id-value) ` (eval-when (:execute :compile-toplevel :load-toplevel) (defparameter ,token-name ,id-value) (setf (gethash ,id-value *builtin-cats*) t))) ) ;;; Chaos BUILTIN LEXICAL CATEGORIES. ;;;----------------------------------------------------------------------------- (defmacro declare-bi-token (sym) `(setf (get ,sym ':bi-token) t)) ;;; The followings are builtin lexical units of Chaos system. ;;; Lisp expression. (defparameter *lisp-escape-char* '|!|) (defparameter .lisp-simple-sexpr. '%SLisp) (defparameter .lisp-general-sexpr. '%GLisp) ;;; Chaos Value (defparameter *chaos-escape-char* '|%|) (defparameter .chaos-value-sexpr. '|%Chaos|) ;;; String&Character (defparameter .String-token. '|String|) ;; (defparameter .Char-token. '|Character|) (eval-when (:execute :load-toplevel) (declare-bi-token '%SLisp) (declare-bi-token '%GLisp) (declare-bi-token '|String|) (declare-bi-token '|%Chaos|) (declare-bi-token '|#\||) (declare-bi-token '|\|#|) ) ;;;============================================================================= ;;; LOW LEVEL READER ;;;============================================================================= ;;; Syntactic properties of characters:_________________________________________ ;;; At the lowest level, each input character has a syntactic property which is ;;; one of the followings: ;;; - 'space : means white space, i.e., normaly the chars chars except ;;; cr/newline have this property. ;;; - 'return : cr & newline. ;;; ** 'white and 'return are always treated as token separators. ;;; There are some chars which are treated as they stand, i.e., each of which ;;; construct a token by itself. it is a resposibility of higher procs to treate ;;; these chars in different ways. In such case, the value of the syntactic ;;; property is set to a symbol other than 'space, 'return, or 'nil. ;;; The property 'nil means that a sequnce of these char construct a token. ;;; The global *reader-read-table* holds the above infos, `!init-read-table' ;;; sets the property for each chars according to its arguments. ;;; (declaim (type (integer 0 256) .reader-char-code-limit.)) (defparameter .reader-char-code-limit. 255) #-GCL (declaim (type simple-vector *reader-read-table*)) #+GCL (declaim (type vector *reader-read-table*)) (defvar *reader-read-table*) (eval-when (:execute :load-toplevel) (setf *reader-read-table* (make-array (list .reader-char-code-limit.) :initial-element nil))) (defmacro !set-syntax (ch val) `(setf (aref *reader-read-table* (the fixnum (char-code ,ch))) ,val)) (defun lex-show-delimiters (stream) (dotimes (x .reader-char-code-limit.) (let ((syntax (aref *reader-read-table* x))) (when syntax (format stream "~%~S : ~S" (code-char x) syntax))))) ;;; !INIT-READ-TABLE : List[Char] List[Char] List[Char] -> Void ;;; initialize Chaos read table. ;;; space : list of `space' characters ;;; return : list of `return' characters ;;; single : list of self terminatig characters ;;; (defun !init-read-table (space return single) (declare (type list space return single) (values t)) #|| (do ((i 0 (1+ i))) ((= i .reader-char-code-limit.)) (declare (type (integer 0 256) i)) (setf (aref *reader-read-table* i) nil)) ||# (dolist (char space) (!set-syntax char 'space)) (dolist (char return) (!set-syntax char 'return)) (dolist (c-c single) (!set-syntax (car c-c) (cdr c-c)))) (defmacro reader-get-syntax (ch) `(if (< (char-code ,ch) .reader-char-code-limit.) (aref *reader-read-table* (the fixnum (char-code ,ch))) nil)) (defmacro reader-valid-char-code (n) (once-only (n) `(and (<= 0 ,n) (<= ,n .reader-char-code-limit.)))) ;;; !SET-SINGLE-READER list-of-chars ;;; make a list of characters be single character symbols (self terminating) ;;; in the reader. ;;; returns list of original status. the return valu can be used for an argument ;;; of `!set-reader' for recovering the modifications. ;;; (defun !set-single-reader (l) (declare (type list l) (values t)) (mapcar #'(lambda (x) (declare (type (or simple-string character) x)) (let ((chr (if (and (stringp x) (= (length x) 1)) (char (the string x) 0) (if (characterp x) x (with-output-chaos-error ('invalid-str) (format t "delimiter must be a single character, but ~a is given" x)))))) (prog1 (cons chr (reader-get-syntax chr)) ;; (print chr) (!set-syntax chr (intern (string x)))))) l)) ;;; !SET-READER list-of-chars ;;; modify a sequence of characters for syntax as given by associated values. ;;; useful for restoring the old properties of chars modified by !set-single-reader. ;;; (defun !set-reader (l) (declare (type list l) (values t)) (mapc #'(lambda (x) (declare (type list x)) (let ((s (car x))) (declare (type (or simple-string character) s)) (!set-syntax (if (stringp s) (char (the string s) 0) s) (cdr x)))) l)) ;;; !READ-IN ;;; read a token iff the last input is not processed yet, ;;; i.e. *reader-input* == *reader-void*. ;;; the token is set to *reader-input*. ;;; ;;; *reader-input* : token buffer. ;;; (defvar *reader-input* nil) ;;; *reder-void* is the marker that indicates the buffered token is ;;; consumed, thus we should read a token. ;;; (defparameter *reader-void* '(void)) (defvar *token-buf* nil) (defvar *last-token* *reader-void*) ;;; The eof value. (eval-when (:execute :compile-toplevel :load-toplevel) (defparameter *lex-eof* (cons nil nil)) ) ;;; (defmacro !read-in () ` (when (eq *reader-input* *reader-void*) (setq *reader-input* (read-sym)))) ;;; !READ-DISCARD ;;; discard the last input token. ;;; (defmacro !read-discard () `(progn ;; (clear-input) ;; (setq *token-buf* nil) (setq *reader-input* *reader-void*))) ;;; !READ-SYM ;;; read a token. ;;; (defun !read-sym () (cond ((eq *reader-input* *reader-void*) (read-sym)) (t (prog1 *reader-input* (!read-discard))))) ;;; (defun test-lex (file) (!lex-read-init) (with-open-file (str file :direction :input) (let ((tok nil) (*standard-input* str)) (while-not (eq tok *lex-eof*) (setf tok (!read-sym)) (print tok))))) ;;; SIMPLE READER_______________________________________________________________ ;;; ;;; READ-LINES (stream) ;;; (defparameter newline-string (string #\newline)) (defparameter line-continue-char #\;) (defparameter .read-line-eof. "") (declaim (special *live-newline*)) (defvar *live-newline* nil) (defmacro add-new-line (str) `(concatenate 'string ,str newline-string)) (defun read-lines (&optional (stream *standard-input*)) (declare (type stream stream) (values simple-string fixnum)) (let (res line (ll 0) l-char (l-total 0)) (declare (type fixnum l-total ll)) (loop (setq line (read-line stream nil .read-line-eof.)) (when (eq line .read-line-eof.) (return)) (when (<= (setq ll (length (the simple-string line))) 0) (return)) (incf l-total ll) (decf ll) (setq l-char (char line ll)) (if (char= line-continue-char (the character l-char)) (progn (setq res (concatenate 'string res (setq line (subseq (the simple-string line) 0 ll)) newline-string )) ;; (decf l-total) (when (at-top-level) (princ "> ") (force-output))) (progn (setq res (concatenate 'string res (if (char= #\. (the character l-char)) (progn ;; (decf l-total) (subseq line 0 ll)) line))) (return)))) (if (eq line .read-line-eof.) (values *lex-eof* 0) (let ((str (if res (if *live-newline* (add-new-line res) res) ""))) (values str (length str)))))) ;;; the global .reader-ch. holds the last char read. ;;; if the character has a property other than 'nil, the property value is set, ;;; otherwise the character itself is set. ;;; (defvar .reader-ch. 'space) ;;; the special .escape-char. holds a character which is used as escape ;;; character, i.e., the preceding char is treated as is. ;;; (declaim (special .escape-char.)) (defvar .default-escape-char. #\\) ;;; (defparameter control-d #\Eot) (defparameter control-d-string "") (defparameter input-escape #\esc) (defparameter input-escape-string "") (defmacro see-ctrl-d () `(eq .reader-ch. control-d)) (defmacro reader-is-at-eof () `(eq *lex-eof* *reader-input*)) (defmacro at-eof () `(or (see-ctrl-d) (eq *lex-eof* .reader-ch.))) (defmacro at-eof-or-control-d () `(or (at-eof) (equal *reader-input* control-d-string))) (defmacro see-input-escape () `(eq .reader-ch. input-escape)) (defun str-match? (x y) (declare (type t x) (type (or symbol simple-string) y) (values (or null t))) (or (eq x y) (and (stringp x) (string= (the simple-string x) (if (stringp y) (the simple-string y) (string-downcase (string (the symbol y)))))))) (defun lex-string-match(x y) (declare (type t x) (type (or atom list) y) (values (or null t))) (if (atom y) (str-match? x y) (member x y :test #'str-match?))) ;;; READER-GET-CHAR : STREAM ;;; reads a one character from stream, set .reader-ch. handling ESCAPE sequence. ;;; (declaim (special .reader-escape.)) (defvar .reader-escape. nil) ; flags indicating we are now in `escaped' ; status. ;; (defvar .read-buffer. nil) ;; (defvar .read-pos. 0) (defvar .newline-count. 0) (defvar *last-newline* nil) (defparameter eof-char control-d) (defun reader-get-char (stream) (declare (type stream stream) (values t)) (let ((inch (read-char stream nil *lex-eof*))) (cond ((eq inch *lex-eof*) (setf .reader-ch. *lex-eof*)) #|| (.reader-escape. (setf .reader-ch. inch)) ((char= .escape-char. inch) (let ((.reader-escape. t)) (setf .reader-ch. 'space) (reader-get-char stream))) ||# (t (unless *chaos-input-source* ;; interactive session (if (and (char= inch #\newline) *last-newline*) (incf .newline-count.) (if (char= inch #\newline) (setq *last-newline* t) (setf .newline-count. 0 *last-newline* nil))) (when (> .newline-count. 2) (!read-discard) (clear-input) (setq *last-newline* nil) (setq .newline-count. 0) (throw :aborting-read :aborting-read))) ;; (let ((val (reader-get-syntax inch))) (setf .reader-ch. (if val val inch))))))) ; (defun reader-get-char (stream) ; (declare (type stream stream) ; (values t)) ; (let ((inch (read-char stream nil *lex-eof*))) ; (cond ((eq inch *lex-eof*) ; (setf .reader-ch. *lex-eof*)) ; #|| ; (.reader-escape. ; (setf .reader-ch. inch)) ; ((char= .escape-char. inch) ; (let ((.reader-escape. t)) ; (setf .reader-ch. 'space) ; (reader-get-char stream))) ; ||# ; (t (let ((val (reader-get-syntax inch))) ; (setf .reader-ch. (if val val inch))))))) ;;; READ-LEXICON : STREAM -> TOKEN ;;; read a lexicon. ;;; ;;; implementation limit: a lexicon must be of length less than or equal to 256. ;;; (declaim (type simple-string .reader-buf.)) (defvar .reader-buf. (make-string 256)) (defparameter .chaos-simple-LISP-keyword. "#!") (defparameter .chaos-general-LISP-keyword. "#!!") (defparameter .chaos-value-keyword. "#%") (defparameter .ml-begin-char. #\#) (defparameter .ml-end-char. #\|) (defvar .lex-inner-multi-comment. nil) (defun read-lexicon (&optional (stream *standard-input*)) (declare (type stream stream)) (let ((p -1) res) (declare (type fixnum p) (type (or symbol list simple-string) res)) (setq res (loop (cond ((member .reader-ch. '(#\Rubout #\Backspace)) (if (<= 0 p) (decf p 1))) ((characterp .reader-ch.) (incf p) (setf (aref .reader-buf. p) .reader-ch.)) (t (let ((c (string .reader-ch.))) (setq .reader-ch. 'space) (return c)))) (reader-get-char stream) (when (at-eof) (if (<= 0 p) (progn (setq .reader-ch. 'space) (return (subseq .reader-buf. 0 (1+ p)))) (return *lex-eof*))) (when (symbolp .reader-ch.) (return (subseq .reader-buf. 0 (1+ p)))) )) ;; (lex-consider-token res))) (defun lex-consider-token (tok) (declare (type t tok)) (if (equal .chaos-simple-LISP-keyword. tok) (progn (reader-suppress-ch tok) (list .lisp-simple-sexpr. (read))) (if (equal .chaos-general-lisp-keyword. tok) (progn (reader-suppress-ch tok) (list .lisp-general-sexpr. (read))) (if (equal .chaos-value-keyword. tok) (progn (reader-suppress-ch tok) (list .chaos-value-sexpr. (read))) tok)))) (defun reader-suppress-ch (context &optional (stream *standard-input*)) (declare (ignore context) (type stream stream) (values t)) (unless (at-eof) (unless (memq .reader-ch. '(space return)) (unread-char (if (characterp .reader-ch.) .reader-ch. (char (the simple-string (string .reader-ch.)) 0)) stream) (setq .reader-ch. 'space)))) (defun reader-unread (ch stream) (declare (type (or symbol character) ch) (type stream stream) (values t)) (unless (memq ch '(space return)) (unread-char (if (characterp ch) ch (char (the simple-string (string (the symbol ch))) 0)) stream) ch)) ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;; (defun skip-multi-comment (stream) (block exit (loop (reader-get-char stream) (cond ((at-eof) (setf .reader-ch. 'space) (!read-discard) (return-from skip-multi-comment *lex-eof*)) (t (case .reader-ch. (#\" (lex-read-string stream)) (#\| (reader-get-char stream) (when (equal .reader-ch. #\#) (!read-discard) (setq .reader-ch. 'space) (return-from skip-multi-comment nil)) (when (at-eof) (setf .reader-ch. 'space) (!read-discard) (return-from skip-multi-comment *lex-eof*)) (reader-unread .reader-ch. stream)))))))) ;;; READ-SYM : STREAM -> TOKEN ;;; read characters considered to be constructs of a token, returns ;;; the token recognized. ;;; The followings are treated specially: ;;; (...) : read a parenthesized unit. ;;; "..." : read as string constant. ;;; 'c : read as character constant. ;;; (defun unread-token (&rest ignore) (declare (ignore ignore)) (unless (eq *last-token* *reader-void*) (push *last-token* *token-buf*) (setq *last-token* *reader-void*))) (defun read-sym (&optional (stream *standard-input*) (parse-list nil)) (declare (type stream stream) (type (or null t) parse-list)) (flet ((skip-whites () ;; skip white chars. (while (memq .reader-ch. (if *live-newline* '(space) '(space return))) (reader-get-char stream)))) (when *token-buf* (return-from read-sym (pop *token-buf*))) ;; skip white chars. (skip-whites) ;; get token ;; (setq *last-token* nil) (cond ((at-eof) (setf .reader-ch. 'space) (!read-discard) (return-from read-sym (progn (setq *last-token* *reader-void*) *lex-eof*))) ((see-input-escape) ;; user forces aborting reading process. (setq .reader-ch. 'space) (!read-discard) (clear-input) (throw :aborting-read :aborting-read)) (t (case .reader-ch. (|(| (if parse-list (setq *last-token* (lex-read-list stream)) (progn (setq .reader-ch. 'space) (setq *last-token* "("))) (return-from read-sym *last-token*)) (return (setq .reader-ch. 'space) (setq *last-token* (if *live-newline* '(return) *reader-void*)) (return-from read-sym *last-token*)) (#\" ; string (return-from read-sym (setq *last-token* (list (lex-read-string stream))))) (#\# ; #! or #!! (reader-get-char stream) (cond ((memq .reader-ch. '(space return)) (return-from read-sym (setq *last-token* '("#")))) ((eq .reader-ch. *lisp-escape-char*) (return-from read-sym (setq *last-token* (lex-read-lisp-escape stream)))) ((eq .reader-ch. *chaos-escape-char*) (return-from read-sym (setq *last-token* (lex-read-chaos-value stream)))) ((equal .reader-ch. #\|) ; begin multi comment (setq .lex-inner-multi-comment. t) (skip-multi-comment stream) (setq .lex-inner-multi-comment. nil) (skip-whites)) (t (reader-unread .reader-ch. stream) (setq .reader-ch. #\#) (let ((tok (read-lexicon stream))) (if (equal tok *lex-eof*) (return-from read-sym (progn (setq *last-token* *reader-void*) *lex-eof*)) (return-from read-sym (setq *last-token* tok)))))))) ;; (if (symbolp .reader-ch.) (let ((str (string .reader-ch.))) (setq .reader-ch. 'space) (return-from read-sym (setq *last-token* (lex-consider-token str)))) (let ((tok (read-lexicon stream))) (if (eq tok *lex-eof*) (return-from read-sym (progn (setq *last-token* *reader-void*) *lex-eof*)) (return-from read-sym (setq *last-token* tok))))))))) ;;; builtin string reader (defun lex-read-string (stream) (declare (type stream stream) (values t)) (reader-unread .reader-ch. stream) (let ((str (read stream nil *lex-eof*))) (if (eq str *lex-eof*) *lex-eof* (prog1 (list .String-token. str) (setf .reader-ch. 'space))))) ;; builtin lisp expression (defun lex-read-lisp-escape (stream) (declare (type stream stream) (values list)) (let ((nx nil)) (setq nx (reader-get-char stream)) (while (memq .reader-ch. '(space return)) (setq nx (reader-get-char stream))) (case nx ((*lisp-escape-char* *chaos-escape-char*) ;; #!! (let ((expr (read stream nil *lex-eof*))) (setq .reader-ch. 'space) (if (equal expr *lex-eof*) (progn (setq *last-token* *reader-void*) (setq .reader-ch. 'space) *lex-eof*) (list .lisp-general-sexpr. expr)))) (otherwise ;; #! (let ((expr nil)) (setq .reader-ch. 'space) (reader-unread nx stream) (setq expr (read stream nil *lex-eof*)) (if (equal expr *lex-eof*) (progn (setq *last-token* *reader-void*) *lex-eof*) (list .lisp-simple-sexpr. expr)))))) ) (defun lex-read-chaos-value (stream) (declare (type stream stream) (values list)) (let ((expr (read stream nil *lex-eof*))) (setq .reader-ch. 'space) (if (equal expr *lex-eof*) (progn (setq *last-token* *reader-void*) *lex-eof*) (list .chaos-value-sexpr. expr)))) ;;; builtin character reader : obsolate #|| (defun lex-read-character (stream) (let ((char (read-char stream nil *lex-eof*))) (if (eq char *lex-eof*) *lex-eof* (progn (when (eql char #\\) ; escape char (let ((echar (read-char stream nil *lex-eof*))) (if (eq echar *lex-eof*) (return-from lex-read-character *lex-eof*) (setf char (case echar (#\n #\Newline) (#\r #\Return) (#\t #\Tab) (#\s #\Space) (#\l #\LineFeed) (#\p #\Page) (otherwise echar)))))) (setf .reader-ch. 'space) (list .Char-token. char))))) ||# ;;; read up to matching close parenthesis ;;; (defun lex-read-list (&optional (stream *standard-input*)) (declare (type stream stream)) (reader-get-char stream) (lex-read-rest-of-list stream)) (defun lex-read-rest-of-list (&optional (stream *standard-input*)) (declare (type stream stream) (values list)) (while (memq .reader-ch. '(space return)) (reader-get-char stream)) (if (at-eof) *lex-eof* (if (eq '|)| .reader-ch.) (progn (reader-get-char stream) (list "(" ")")) (let ((res (list "(")) x) (loop (setq x (lex-read stream)) (when (eq *lex-eof* x) (return *lex-eof*)) (setq res (append res x)) ;; (wait-until-non-white stream) (while (memq .reader-ch. '(space return)) (reader-get-char stream)) (when (eq '|)| .reader-ch.) (reader-get-char stream) (return (nconc res (list ")")))) (when (at-eof) (return *lex-eof*))) )))) ;;; LEX-READ : STREAM -> List[Token] ;;; standard routine to get token from stream. ;;; (defun bi-token? (tok) (declare (type t tok) (values (or null t))) (and (consp tok) (let ((tm (car tok))) (and (symbolp tm) (get tm ':bi-token))))) (defun lex-read (&optional (stream *standard-input*)) (declare (type stream stream) (values t)) (let ((tok (read-sym stream t))) (if (eq *lex-eof* tok) *lex-eof* (cond ((atom tok) (if tok (list tok) nil)) (t (if (bi-token? tok) (list tok) tok)))))) ;;; returns t iff the characters in the string are all digit char. (defmacro all-digit? (string start end) (once-only (string) ` (the (or null t) (do ((s (the fixnum ,start) (1+ s))) ((>= s ,end) t) (declare (type fixnum s end)) (if (not (digit-char-p (schar ,string s))) (return nil)))))) ;;; BUFFERED-INPUT______________________________________________________________ ;;; one token is bufferd. ;;; Input Buffering for general reader ;;; the following routines create a single token buffer, which ;;; allows look-ahead. ;;; ;;; !LEX-READ-INIT ;;; initialize read table, .escape-char., and .reader-ch.. ;;; (defparameter .default-space-chars. '(#\Space #\Tab #\Page #\Linefeed)) (defparameter .default-return-chars. '(#\Return #\Newline)) (defparameter .default-single-chars. `((#\( . |(|) (#\) . |)|) (#\, . |,|) (#\[ . |[|) (#\] . |]|) (#\{ . |{|) (#\} . |}|) (#\; . |;|) ;; (#\_ . |_|) ;; (#\% . "%") ;; (#\! . |!|) (,control-d . ,control-d) )) (defun !force-single-reader (l) (declare (type list l) (values t)) (dolist (x l) (let* ((chr (if (and (stringp x) (= (length x) 1)) (char (the string x) 0) (if (characterp x) x (with-output-chaos-error ('invalid-str) (format t "delimiter must be a single character, but ~a is given" x))))) (sym (intern (string x)))) (format t "~&setting delimiters ~S : ~S" chr sym) (!set-syntax chr sym)))) (defun !unset-single-reader (l) (declare (type list l) (values t)) (dolist (x l) (let ((chr (if (and (stringp x) (= (length x) 1)) (char (the string x) 0) (if (characterp x) x (with-output-chaos-error ('invalid-str) (format t "Delimiter must be a single character, but ~a is given" x)))))) (if (assoc chr .default-single-chars.) (warn "Character '~A' is a hardwired self delimiting charcter, ignored." chr) (progn (format t "~&unsetting delimiters ~S" chr) (!set-syntax chr nil)))))) ;;; ;;; ;;; (defun !lex-read-init (&key (space .default-space-chars.) (return .default-return-chars.) (single .default-single-chars.) (escape .default-escape-char.)) (!init-read-table space return single) (setq .escape-char. escape) (setq .reader-ch. 'space) (setq *reader-input* *reader-void* *last-token* *reader-void* *token-buf* nil)) ;;; EOF cafeobj-1.5.4/comlib/list.lisp0000644000000000000000000001152112605345045014725 0ustar rootroot;;;-*- Mode:Lisp; Syntax:Common-Lisp; Package:CHAOS -*- ;;; ;;; Copyright (c) 2000-2015, Toshimi Sawada. All rights reserved. ;;; ;;; Redistribution and use in source and binary forms, with or without ;;; modification, are permitted provided that the following conditions ;;; are met: ;;; ;;; * Redistributions of source code must retain the above copyright ;;; notice, this list of conditions and the following disclaimer. ;;; ;;; * Redistributions in binary form must reproduce the above ;;; copyright notice, this list of conditions and the following ;;; disclaimer in the documentation and/or other materials ;;; provided with the distribution. ;;; ;;; THIS SOFTWARE IS PROVIDED BY THE AUTHOR 'AS IS' AND ANY EXPRESSED ;;; OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED ;;; WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ;;; ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY ;;; DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL ;;; DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE ;;; GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS ;;; INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, ;;; WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING ;;; NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS ;;; SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. ;;; (in-package :CHAOS) #|============================================================================== System: Chaos Module: comlib File: list.lisp ==============================================================================|# #-:chaos-debug (declaim (optimize (speed 3) (safety 0) #-GCL (debug 0))) #+:chaos-debug (declaim (optimize (speed 1) (safety 3) #-GCL (debug 3))) ;;; A collection of utilities on List structure ;;; ************** ;;; List Structure______________________________________________________________ ;;; ************** ;;; flatten-list ;;; flattens list L, i.e., returns a single list containing the ;;; same atoms as L but with any internal lists 'dissolved'. ;;; For example, ;;; (flatten-list '(a (b c) d)) ==> (a b c d) ;;; Recursively flattens components of L, according to the following rules: ;;; - an atom is already flattened. ;;; - a list whose CAR is also a list is flattened by appending the ;;; flattened CAR to the flattened CDR (this is what dissolves internal ;;; lists). ;;; - a list whose CAR is an atom is flattened by just flattening the CDR ;;; and CONSing the original CAR onto the result. ;;; These rules were chosen with some attention to minimizing CONSing." (defun flatten-list (L) ;; (declare (optimize (speed 3) (safety 0))) (cond ((null L) '()) ((atom L) L) ((consp L) (if (consp (car L)) (append (flatten-list (car L)) (flatten-list (cdr L))) (cons (car L) (flatten-list (cdr L))))) )) ;;; firstn ;;; Returns a new list the same as List with only the first N elements. (defun firstn (list &optional (n 1)) (declare ;; (optimize (speed 3) (safety 0)) (type list list) (type fixnum n)) (cond ((> n (length list)) list) ((< n 0) nil) (t (ldiff list (nthcdr n list))))) ;;; in-order-union ;;; Append and remove duplicates. Like union, but the objects are ;;; guarranteed to stay in order. (defun in-order-union (list1 list2 &optional (test #'eql)) (remove-duplicates (append list1 list2) :from-end t :test test)) ;;; true-list-p ;;; Returns t if the term is a non-dotted list. Note that nil is a true list. (defun true-list-p (term) ;; (declare (optimize (speed 3) (safety 0))) (and (listp term) (not (cdr (last term))))) ;;; rotate-list ;;; Returns a new list rotated at numth element. ;;; (defun rotate-list (list num minusp) (declare (type fixnum num) (type t minusp)) (let ((len (length list)) (new-stack (copy-list list))) (declare (type fixnum len) (type list new-stack)) (when (>= (abs num) len) (return-from rotate-list nil)) (cond ((or (< num 0) (and (= num 0) minusp)) (setq num (- len (1+ (abs num)))) (print num) (setq new-stack (setq new-stack (nconc (nthcdr num new-stack) (firstn new-stack num)))) ) (t (rotatef (nth 0 new-stack) (nth num new-stack)))) new-stack)) ;;; delete-nth ;;; Returns a new list deleted the nth element ;;; (defun delete-nth (nth lst) (declare (fixnum nth)) (let ((len (length lst)) (new-lst nil)) (when (>= nth len) (return-from delete-nth nil)) (setq new-lst (nconc (firstn lst nth) (nthcdr (1+ nth) lst))) new-lst)) ;;; EOF cafeobj-1.5.4/comlib/macros.lisp0000644000000000000000000001622112605345045015240 0ustar rootroot;;;-*- Mode:Lisp; Syntax:Common-Lisp; Package:CHAOS -*- ;;; ;;; Copyright (c) 2000-2015, Toshimi Sawada. All rights reserved. ;;; ;;; Redistribution and use in source and binary forms, with or without ;;; modification, are permitted provided that the following conditions ;;; are met: ;;; ;;; * Redistributions of source code must retain the above copyright ;;; notice, this list of conditions and the following disclaimer. ;;; ;;; * Redistributions in binary form must reproduce the above ;;; copyright notice, this list of conditions and the following ;;; disclaimer in the documentation and/or other materials ;;; provided with the distribution. ;;; ;;; THIS SOFTWARE IS PROVIDED BY THE AUTHOR 'AS IS' AND ANY EXPRESSED ;;; OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED ;;; WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ;;; ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY ;;; DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL ;;; DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE ;;; GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS ;;; INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, ;;; WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING ;;; NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS ;;; SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. ;;; (in-package :CHAOS) #|============================================================================== System: Chaos Module: comlib File: macros.lisp ==============================================================================|# #-:chaos-debug (declaim (optimize (speed 3) (safety 0) #-GCL (debug 0))) #+:chaos-debug (declaim (optimize (speed 1) (safety 3) #-GCL (debug 3))) ;;;== DESCTIPTION ============================================================== ;;; A collection of misc utility macros. ;;; ******* ;;; DECLAIM_____________________________________________________________________ ;;; ******* ;;;#-(or cltl2 GCL) ;;;(defmacro declaim (arg) `(proclaim ',arg)) ;;; **************** ;;; FAMOUS ONCE-ONLY____________________________________________________________ ;;; **************** (defmacro once-only (vars &body body) (let ((gensym-var (gensym)) (run-time-vars (gensym)) (run-time-vals (gensym)) (expand-time-val-forms ())) (dolist (var vars) (push `(if (or (symbolp ,var) (numberp ,var) (and (listp ,var) (member (car ,var) '(quote function)))) ,var (let ((,gensym-var (gensym))) (push ,gensym-var ,run-time-vars) (push ,var ,run-time-vals) ,gensym-var)) expand-time-val-forms)) `(let* (,run-time-vars ,run-time-vals (wrapped-body (let ,(mapcar #'list vars (reverse expand-time-val-forms)) ,@body))) `(let ,(mapcar #'list (reverse ,run-time-vars) (reverse ,run-time-vals)) ,wrapped-body)))) ;;; ********************************* ;;; Specialized MEMBER/ASSOC/POSITION___________________________________________ ;;; ********************************* #-:ccl (defmacro memq (item list) `(member ,item ,list :test #'eq)) #-:ccl (defmacro assq (item list) `(assoc ,item ,list :test #'eq)) (defmacro posq (item list) `(position ,item ,list :test #'eq)) (defmacro memeq (item list) `(member ,item ,list :test #'equal)) (defmacro asseq (item list) `(assoc ,item ,list :test #'equal)) (defmacro poseq (item list) `(position ,item ,list :test #'equal)) ;;; ********** ;;; CASE-EQUAL__________________________________________________________________ ;;; ********** ;;; same as normal `case' test by equal instead of eql. (defmacro case-equal (keyform &rest clauses &aux (form nil) (key (gensym))) (dolist (clause (reverse clauses) `(let ((,key ,keyform)) ,form)) #+GCL (declare (object clause)) (cond ((or (eq (car clause) 't) (eq (car clause) 'otherwise)) (setq form `(progn ,@(cdr clause)))) ((consp (car clause)) (setq form `(if (member ,key ',(car clause) :test #'equal) (progn ,@(cdr clause)) ,form))) ((car clause) (setq form `(if (equal ,key ',(car clause)) (progn ,@(cdr clause)) ,form))))) ) ;;; ************** ;;; DOTIMES-FIXNUM______________________________________________________________ ;;; ************** ;;; FROM OBJ3 implementation by Tim.Winkler of SRI. ;;; I don't know how this could be efficient in general, but for GCL(KCL..) this ;;; works well. ;;; (defmacro dotimes-fixnum (&rest body) (let ((var (car (car body))) (lim (cadr (car body))) (res (cddr (car body))) (acts (cdr body)) (limvar (gensym)) (lab (gensym))) ` (block () (let* ((,limvar ,lim) (,var 0)) (declare (type fixnum ,var ,limvar)) (tagbody ,lab (if (>= ,var ,limvar) (return (progn ,@res))) (tagbody ,@acts) (setf (the fixnum ,var) (the fixnum (1+ (the fixnum ,var)))) (go ,lab))))) ) ;;; **************** ;;; Syntactic Sugars____________________________________________________________ ;;; **************** (defmacro msetq (vars value) `(multiple-value-setq ,vars ,value)) (defmacro mlet (vars value &body body) `(multiple-value-bind ,vars ,value ,@body)) ;;; let-if ;;; Binds let arguments only if condition is non-nil, and evaluates body ;;; in any case. (defmacro let-if (condition bindings &body body) `(if ,condition (let ,bindings ,@body) (progn ,@(if (eq (caar body) 'declare) (cdr body) body)))) ;;; when-bind ;;; Binds the symbol to predicate and executes body only if predicate ;;; is non-nil." (defmacro when-bind ((symbol predicate) &body body) `(let ((,symbol ,predicate)) (when ,symbol ,@body))) ;;; while ;;; Keeps invoking the body while the test is true; test is tested before each ;;; loop. ;;;; #-(or :allegro-v6.0 :allegro-v6.1 :allegro-v6.2 :allegro-v7.0 :allegro-v8.0) #-(or :allegro) (defmacro while (test &body body) (let ((end-test (gensym)) (loop (gensym))) `(block nil (tagbody (go ,end-test) ,loop ,@body ,end-test (when ,test (go ,loop)) (return))))) ;;; while-not ;;; Keeps invoking the body while the test is not true; test is tested before ;;; each loop. (defmacro while-not (test &body body) (let ((end-test (gensym)) (loop (gensym))) `(block nil (tagbody (go ,end-test) ,loop ,@body ,end-test (unless ,test (go ,loop)) (return))))) ;;; def-synonym sym1 sym2 ;;; (defmacro def-synonym (sym1 sym2) `(setf (symbol-function ',sym1) (symbol-function ',sym2))) ;;; ;;; #-:excl #-(or :excl ccl) (defmacro fixnump (num) `(typep ,num 'fixnum)) ;;; EOF cafeobj-1.5.4/comlib/message.lisp0000644000000000000000000001775112605345045015411 0ustar rootroot;;;-*- Mode:LISP; Package:CHAOS; Base:10; Syntax:Common-lisp -*- ;;; ;;; Copyright (c) 2000-2015, Toshimi Sawada. All rights reserved. ;;; ;;; Redistribution and use in source and binary forms, with or without ;;; modification, are permitted provided that the following conditions ;;; are met: ;;; ;;; * Redistributions of source code must retain the above copyright ;;; notice, this list of conditions and the following disclaimer. ;;; ;;; * Redistributions in binary form must reproduce the above ;;; copyright notice, this list of conditions and the following ;;; disclaimer in the documentation and/or other materials ;;; provided with the distribution. ;;; ;;; THIS SOFTWARE IS PROVIDED BY THE AUTHOR 'AS IS' AND ANY EXPRESSED ;;; OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED ;;; WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ;;; ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY ;;; DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL ;;; DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE ;;; GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS ;;; INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, ;;; WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING ;;; NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS ;;; SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. ;;; (in-package :chaos) #|============================================================================== System: CHAOS Module: comlib File: message.lisp ==============================================================================|# #-:chaos-debug (declaim (optimize (speed 3) (safety 0) #-GCL (debug 0))) #+:chaos-debug (declaim (optimize (speed 1) (safety 3) #-GCL (debug 3))) (defun flush-all () (finish-output *standard-output*) (finish-output *error-output*) ) (defun fresh-all () (fresh-line *standard-output*) (fresh-line *error-output*)) ;;; ;;; Message DB ;;; (defvar *Message-DB* (make-hash-table)) ;;; (defun get-msg-type (id) (first (gethash id *Message-DB*))) (defun get-msg-level (id) (second (gethash id *Message-DB*))) (defun get-msg-fmt (id) (third (gethash id *Message-DB*))) (defun get-msg-description (id) (fourth (gethash id *Message-DB*))) (defun register-message (type msg) (setf (gethash (car msg) *Message-DB*) (cons type (cdr msg)))) #+:Allegro (defun read-message-db (path) (clrhash *Message-DB*) (flet ((regme (type msgs) (dolist (msg msgs) (register-message type msg)))) (with-open-file (strm path :if-does-not-exist :error :external-format :utf-8) (loop for type = (read strm nil :eof) while (not (eq type :eof)) do (case type ((:panic :panics) (regme :panic (read strm nil))) ((:error :errors) (regme :error (read strm nil))) ((:warning :warnings) (regme :warning (read strm nil))) ((:message :messages) (regme :message (read strm nil))) ((:smessage :smessages) (regme :smessage (read strm nil))) (otherwise (error "Internal error, invalid message type ~s" type))))))) #+:Allegro (defun setup-message-db () (let ((fname (chaos-probe-file "messagesDB" *chaos-libpath* '(".msg")))) (unless fname (error "Internal error, can't find messagesDB.")) (read-message-db fname))) ;;; ;;; OUTPUT-MSG ;;; ;;; message level ;;; 0 : always ;;; 1 : standard ;;; 2 : only under verbose mode ;;; (defvar *msg-lvl* 1) (defvar *old-msg-lvl* *msg-lvl*) (defun set-verbose-lvl (lvl) (if (<= lvl 3) (setf *msg-lvl* lvl) (error "Internal error, invalid verbose level ~d" lvl))) (defun set-verbose-on () (setf *old-msg-lvl* *msg-lvl*) (set-verbose-lvl 0) (setq *chaos-verbose* t)) (defun set-verbose-off () (when (zerop *msg-lvl*) (set-verbose-lvl *old-msg-lvl*)) (setq *chaos-verbose* nil)) (defun set-expert-on () (setf *old-msg-lvl* *msg-lvl*) (set-verbose-lvl 2)) (defun set-export-off () (when (= *msg-lvl* 2) (set-verbose-lvl *old-msg-lvl*))) (defun set-quiet-on () (setf *old-msg-lvl* *msg-lvl*) (set-verbose-lvl 3)) (defun set-quiet-off () (when (= *msg-lvl* 3) (set-verbose-lvl *old-msg-lvl*))) (defun output-msg (id prefix args) (when (>= (get-msg-level id) *msg-lvl*) (apply #'format t (concatenate 'string prefix "(:" (string id) ") " (get-msg-fmt id)) args))) (defmacro with-output-chaos-error-n ((msg-id args &optional (tag 'to-top tag-p)) &body body) ` (progn (let ((*standard-output* *error-output*) (*print-indent* 4)) (output-msg ',msg-id "~%[Error]" ,args) ,@body) ,(if (and tag-p (eq tag 'to-top)) `(chaos-to-top) `(chaos-error ,tag) ))) (defmacro with-output-chaos-warning-n ((msg-id args) &body body) ` (unless *chaos-quiet* (let ((*standard-output* *error-output*) (*print-indent* 4)) (output-msg ',msg-id "~%[Warning]" ,args) ,@body) (flush-all))) (defmacro with-output-panic-message-n ((msg-id args) &body body) ` (progn (let ((*standard-output* *error-output*)) (output-msg ',msg-id "~%[!! PANIC !!]" ,args) ,@body) (chaos-to-top))) (defmacro with-output-msg-n ((msg-id args &optional (stream '*error-output*)) &body body) ` (unless *chaos-quiet* (let ((*standard-output* ,stream) (*print-indent* 3)) (output-msg ',msg-id "~%-- " ,args) ,@body) (flush-all))) (defmacro with-output-simple-msg-n ((msg-id args &optional (stream '*error-output*)) &body body) ` (unless *chaos-quiet* (let ((*standard-output* ,stream) (*print-indent* 2)) (output-msg ',msg-id "~%" ,args) ,@body) (flush-all))) ;;; older versions (defmacro with-output-chaos-error ((&optional (tag 'to-top)) &body body) ` (progn ;; (flush-all) ;; (fresh-all) (let ((*standard-output* *error-output*) (*print-indent* 4)) (format t "~%[Error]: ") ,@body) ,(if (eq tag 'to-top) `(chaos-to-top) `(chaos-error ,tag) ))) (defmacro with-output-chaos-warning ((&optional (stream '*error-output*)) &body body) ` (unless *chaos-quiet* (let ((*standard-output* ,stream) (*print-indent* 4)) (format t "~%[Warning]: ") ,@body) (flush-all))) (defmacro with-output-panic-message ((&optional (stream '*error-output*)) &body body) ` (progn ;; (fresh-all) ;; (flush-all) (let ((*standard-output* ,stream)) (print-next) (princ "!! PANIC !!: ") ,@body) (chaos-to-top))) ;;; (defmacro with-output-msg ((&optional (stream '*standard-output*)) &body body) ` (unless *chaos-quiet* (let ((*standard-output* ,stream) (*print-indent* 3)) (format t "~%-- ") ,@body) (flush-all))) (defmacro with-output-simple-msg ((&optional (stream '*standard-output*)) &body body) ` (unless *chaos-quiet* ;; (fresh-all) ;; (flush-all) (let ((*standard-output* ,stream) (*print-indent* 2)) (format t "~%") ,@body) (flush-all))) ;;; (defun print-in-progress (str) (unless *chaos-quiet* (princ str *error-output*) (finish-output *error-output*))) ;;; I-miss-current-module me ;;; Checks if the *current-module* is bound, returns nil with an error mesage if ;;; *current-mdoule* is not bound to non-nil value. ;;; - me must a name (symbol) of a block. ;;; (defmacro I-miss-current-module (me) ` (unless *current-module* (fresh-all) (flush-all) (with-output-panic-message () (format t "in ~a : no current module is specified!" ',me) (force-output) (finish-output) (return-from ,me nil)))) ;;; EOF cafeobj-1.5.4/comlib/misc.lisp0000644000000000000000000007235412605345045014720 0ustar rootroot;;;-*- Mode:Lisp; Syntax:Common-Lisp; Package:CHAOS -*- ;;; ;;; Copyright (c) 2000-2015, Toshimi Sawada. All rights reserved. ;;; ;;; Redistribution and use in source and binary forms, with or without ;;; modification, are permitted provided that the following conditions ;;; are met: ;;; ;;; * Redistributions of source code must retain the above copyright ;;; notice, this list of conditions and the following disclaimer. ;;; ;;; * Redistributions in binary form must reproduce the above ;;; copyright notice, this list of conditions and the following ;;; disclaimer in the documentation and/or other materials ;;; provided with the distribution. ;;; ;;; THIS SOFTWARE IS PROVIDED BY THE AUTHOR 'AS IS' AND ANY EXPRESSED ;;; OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED ;;; WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ;;; ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY ;;; DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL ;;; DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE ;;; GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS ;;; INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, ;;; WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING ;;; NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS ;;; SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. ;;; (in-package :CHAOS) #|============================================================================== System: Chaos Module: comlib File: misc.lisp ==============================================================================|# #-:chaos-debug (declaim (optimize (speed 3) (safety 0) #-GCL (debug 0))) #+:chaos-debug (declaim (optimize (speed 1) (safety 3) #-GCL (debug 3))) ;;;== DESCTIPTION ;;;============================================================== A ;;;collection of misc utility functions and macros. ;;; ** NOTE ******************************************************************** ;;; Many of the codes in this file are cllected from articles posted to ;;; some news groups (comp.lang.lisp, comp.lang.mcl, etc) or some mailing list ;;; long ago. And some were from my personal libraries. ;;; I have no infos codes other than the codes themselves. ;;; Please let me know if you find codes which are copyrighted, or you know the ;;; author. Email: sawada@sra.co.jp. ;;; **************************************************************************** ;;; ******* ;;; KEYWORD_____________________________________________________________________ ;;; ******* (defvar *keyword-package* (find-package :keyword)) (defun make-keyword (name) (declare (type (or symbol simple-string) name) (values symbol)) (if (stringp name) (intern name *keyword-package*) ;; name must be a symbol (intern (symbol-name name) *keyword-package*))) ;;; Searches the arglist for keyword key, and returns the following mark, ;;; or the default if supplied. If no-value is non-nil, then if nothing follows ;;; the key it is returned. (defun extract-keyword (key arglist &optional (default nil) &key (no-value nil)) (declare (type list arglist) (type t default) (type keyword key) (values symbol) ) (let ((binding (member key arglist :test #'eql))) (cond ((and (null binding) no-value) no-value) ((cdr binding) (cadr binding)) (t default)))) ;;; ***************** ;;; OBJECT ALLOCATION____________________________________________________________ ;;; ***************** ;;; Allocating simple vector ; #+GCL (Clines " static object alloc_svec (size) object size; { object vect ; vect = alloc_object(t_vector); vect->v.v_self = 0 ; vect->v.v_elttype = aet_object; vect->v.v_dim = Mfix(size); vect->v.v_displaced = Cnil ; vect->v.v_hasfillp = 0 ; vect->v.v_fillp = vect->v.v_dim; vect->v.v_adjustable = 0; array_allocself(vect, 1, Cnil); return vect; } " ) #+GCL (defentry alloc-svec (object) (object alloc_svec)) #-GCL (defmacro alloc-svec (size) `(the simple-vector (make-array ,size :initial-element nil))) #+GCL (Clines " static object alloc_svec_fixnum (size) object size; { object vect ; int i; vect = alloc_object(t_vector); vect->v.v_self = 0 ; vect->v.v_elttype = aet_object; vect->v.v_dim = Mfix(size); vect->v.v_displaced = Cnil ; vect->v.v_hasfillp = 0 ; vect->v.v_fillp = vect->v.v_dim; vect->v.v_adjustable = 0; array_allocself(vect, 0, small_fixnum(0)); return vect; } " ) #+GCL (defentry alloc-svec-fixnum (object) (object alloc_svec_fixnum)) #-GCL (defmacro alloc-svec-fixnum (size) ` (the simple-vector (make-array ,size :initial-element 0))) ;;; GCL doesn't hadle simple-vector properly! #-(or GCL EXCL) (defmacro %svref (vector index) `(svref ,vector (the fixnum ,index))) #+EXCL (defmacro %svref (vector index) `(aref (the vector ,vector) (the fixnum ,index))) #+GCL (defmacro %svref (vector index) `(aref (the vector ,vector) (the fixnum ,index))) (declaim (inline svref aref)) ;;; AT-TOP-LEVEL : -> Bool ;;; determins whether we are at top level or not. ;;; *NOTE* : the top-level must maintain the following two ;;; variables properly: ;;; *chaos-input-source* : buind file (or stream?) during input ;;; from files. ;;; *chaos-input-level* : buind fixnum indicating nested file ;;; inputs levels. ;;; (defun at-top-level () (declare (values (or null t))) (and (null *chaos-input-source*) (<= *chaos-input-level* 0)) ) ;;; ******************** ;;; ENVIRONMENT-VARIABLE________________________________________________________ ;;; ******************** ;;; ** TO DO for other platforms. (defun get-environment-variable (x) #+(or :CCL CMU) (declare (ignore x)) #+(or KCL GCL) (si:getenv x) #+LUCID (environment-variable x) #+CMU nil #+:CCL nil #+:Allegro (sys:getenv x) #+:CLISP (ext:getenv x) #+:SBCL (sb-ext:posix-getenv x) ) ;;; ***** ;;; DEBUG_______________________________________________________________________ ;;; ***** (defvar *on-debug* nil) (defvar *debug-level* 0) (defmacro debug-msg ((msg &key (level 0)) &rest args) `(if (and *on-debug* (<= ,level *debug-level*)) (funcall #'format *debug-io* ,msg ,@args))) (defmacro debug-form (level &body body) `(if (and *on-debug* (<= ,level *debug-level*)) (progn ,@body))) (defun on-debug (&optional (level 1)) (setf *on-debug* t) (setf *debug-level* level)) (defun off-debug () (setf *on-debug* nil) (setf *debug-level* 0)) ;;; *************** ;;; OBJECT ORDERING_____________________________________________________________ ;;; *************** ;;; ordering some Common Lisp object ;;; symbol < cons < number < character < string < sequence ;;; integer < symbol < cons < othernumber (defun ob< (x y) (declare (type t x y)) (eq :lt (ob-compare x y))) (defun ob-compare (x y) (declare (type t x y)) (typecase x (integer (typecase y (integer (if (< (the integer x) (the integer y)) :lt (if (< (the integer y) (the integer x)) :gt :eq))) (otherwise :lt))) (symbol (typecase y (symbol (if (eq x y) :eq (if (string-lessp (string (the symbol x)) (string (the symbol y))) :lt :gt))) (integer :gt) (otherwise :lt))) (cons (typecase y (cons (let ((comp-car (ob-compare (car x ) (car y)))) (if (eq :eq comp-car) (ob-compare (cdr x) (cdr y)) comp-car))) ((or symbol integer) :gt) (otherwise :lt))) (number (typecase y (number (if (< (the number x) (the number y)) :lt (if (< (the number y) (the number x)) :gt :eq))) ((or symbol integer cons) :gt) (otherwise :lt))) (character (typecase y (character (if (char< (the character x) (the character y)) :lt (if (char< (the character y) (the character x)) :gt :eq))) ((or number cons symbol) :gt) (otherwise :lt))) (string (typecase y (string (if (string-lessp (the string x) (the string y)) :lt (if (string-lessp (the string y) (the string x)) :gt :eq))) ((or character number cons symbol) :gt) (otherwise :lt))) (sequence (typecase y (sequence (let ((lenx (length (the sequence x))) (leny (length (the sequence y)))) (declare (type fixnum lenx leny)) (dotimes (i (min lenx leny) (ob-compare lenx leny)) (declare (type fixnum i)) (let ((xi (elt x i)) (yi (elt y i))) (let ((cmp (ob-compare xi yi))) (unless (eq :eq cmp) (return cmp))))) :eq)) (otherwise :gt))) (otherwise :lt) ;; (structure :lt) ;; ;; how about structure ... ;; (otherwise (break "not yet type ~s" (type-of x))) )) ;;; ********* ;;; TOPO-SORT___________________________________________________________________ ;;; ********* ;;; will only apply to sequences of distinct items ;;; very simple method based on selection sort ;;; -- select minimal element of those remaining, swap with next and continue ;;; this is specialized to lists. ;;; (defun topo-sort (lst pred) (declare (type list lst) (type (or symbol function) pred)) (let ((res lst)) ; save original list as final value ;; run through the positions of lst successively filling them in (loop (when (null lst) (return)) ;; pos is location of val which is current minimal value (let ((pos lst) (val (car lst)) (rest (cdr lst))) ;; scan through remainder of list rest updating pos and val (loop ; -- select minimal (when (null rest) (return)) (let ((valr (car rest))) (when (funcall pred valr val) (setq pos rest val valr))) ; have found new minimal value (setq rest (cdr rest))) ; loop -- select minimal ;; swap values at front of lst and at pos (rplaca pos (car lst)) (rplaca lst val)) (setq lst (cdr lst))) res)) ;;; ******* ;;; ADDRESS______________________________________________________________________ ;;; ******* ;;; address of objects. ;;; The intention is to only use this for printing. ;;; ;;; *** TODO FOR ALLEGRO ___ #+GCL (Clines "static object addr_of(x) object x; {return(make_fixnum((int)x));}") ;;(defCfun "object addr_of(x) object x;" 0 ;;" Creturn(make_fixnum((int)x));" ;;) #+GCL (defentry addr-of (object) (object addr_of)) (defvar .32bit. #xffffffff) #-GCL (declaim (inline addr-of)) #+LUCID (defun addr-of (x) (logand .32bit. (sys:%pointer x))) #+CMU (defun addr-of (x) (logand .32.bit. (kernel:get-lisp-obj-address x))) #+Excl (defun addr-of (x) (logand .32bit. (excl::pointer-to-positive-fixnum x))) #+CCL (defun addr-of (x) (logand .32bit. (ccl::%address-of x))) #+CLISP (defun addr-of (x) (logand .32bit. (sys::address-of x))) #+SBCL (defun addr-of (x) (logand .32bit. (sb-kernel:get-lisp-obj-address x))) (defun print-addr (x) (format t "0x~8,'0x" (addr-of x))) ;;; ************ ;;; QUERY-INPUT_________________________________________________________________ ;;; ************ (defun query-input (&optional (default #\y) (timeout 20) format-string &rest args) (clear-input *query-io*) (when format-string (fresh-line *query-io*) (apply #'format *query-io* format-string args) ;; FINISH-OUTPUT needed for CMU and other places which don't handle ;; output streams nicely. This prevents it from continuing and ;; reading the query until the prompt has been printed. (finish-output *query-io*)) (let ((read-char (read-char-wait timeout *query-io*))) (cond ((null read-char) (return-from query-input default)) (t (unread-char read-char *query-io*) (read *query-io*))))) ;;; ************* ;;; Y-OR-N-P-WAIT________________________________________________________________ ;;; ************* ;;; y-or-n-p-wait is like y-or-n-p, but will timeout ;;; after a specified number of seconds (defun internal-real-time-in-seconds () (declare (values float)) (float (/ (get-internal-real-time) internal-time-units-per-second))) (defun read-char-wait (&optional (timeout 20) input-stream &aux char) (do ((start (internal-real-time-in-seconds))) ((or (setq char (read-char-no-hang input-stream nil)) ;(listen *query-io*) (< (+ start timeout) (internal-real-time-in-seconds))) char))) (defvar *use-timeouts* t "If T, timeouts in Y-OR-N-P-WAIT are enabled. Otherwise it behaves like Y-OR-N-P. This is provided for users whose lisps don't handle read-char-no-hang properly.") (defvar *clear-input-before-query* t "If T, y-or-n-p-wait will clear the input before printing the prompt and asking the user for input.") ;;; y-or-n-p-wait ;;; Y-OR-N-P-WAIT prints the message, if any, and reads characters from ;;; *QUERY-IO* until the user enters y, Y or space as an affirmative, or either ;;; n or N as a negative answer, or the timeout occurs. It asks again if ;;; you enter any other characters. (defun y-or-n-p-wait (&optional (default #\y) (timeout 20) format-string &rest args) (when *clear-input-before-query* (clear-input *query-io*)) (when format-string (fresh-line *query-io*) (apply #'format *query-io* format-string args) ;; FINISH-OUTPUT needed for CMU and other places which don't handle ;; output streams nicely. This prevents it from continuing and ;; reading the query until the prompt has been printed. (finish-output *query-io*)) (loop (let* ((read-char (if *use-timeouts* (read-char-wait timeout *query-io*) (read-char *query-io*))) (char (or read-char default))) ;; We need to ignore #\newline because otherwise the bugs in ;; clear-input will cause y-or-n-p-wait to print the "Type ..." ;; message every time... *sigh* ;; Anyway, we might want to use this to ignore whitespace once ;; clear-input is fixed. (unless (find char '(#\tab #\newline #\return)) (when (null read-char) (format *query-io* "~@[~A~]" default) (finish-output *query-io*)) (cond ((null char) (return t)) ((find char '(#\y #\Y #\space) :test #'char=) (return t)) ((find char '(#\n #\N) :test #'char=) (return nil)) (t (when *clear-input-before-query* (clear-input *query-io*)) (format *query-io* "~%Type \"y\" for yes or \"n\" for no. ") (when format-string (fresh-line *query-io*) (apply #'format *query-io* format-string args)) (finish-output *query-io*))))))) ;;; ******** ;;; MULTISET____________________________________________________________________ ;;; ******** ;;; A multiset is a collection of elements "{e1, ..., en}" of some type, where ;;; the elements need not be distinct. The operations "multiset.equal" is used ;;; to determine if two elements are the same. Two elements are said to be ;;; `distinct' in a multiset if they are not "multiset.equal" to one another. ;;; ;;; IMPLEMENTATION: ;;; an element is represented as a pair of the form `(object . cout)', ;;; where, `object' is the element and `count' is the number of times it ;;; occurs in the multiset (if it occurs at least once in the multiset). ;;; a multiset itself is represented as a list of this pairs. (defstruct (multiset (:conc-name "MULTISET-") (:constructor multiset-create (equal-fun elements)) (:copier nil)) (equal-fun #'eq :type function) ; predicate which determines the equality ; of the objects. (elements nil :type list)) ; list of pair (object . count). ;;; MULTISET-NEW ;;; creates the new empty multiset- ;;; (defmacro multiset-new (&optional (equal-fun #'eq)) `(multiset-create ,equal-fun nil)) ;;; MULTISET-IS-EMPTY m ;;; (defmacro multiset-is-empty (m) `(null (multiset-elements ,m))) ;;; MULTISET-INSERT ms e ;;; insert e in ms. (defmacro multiset-insert (ms e) (once-only (ms) `(let* ((elems (multiset-elements ,ms)) (pair (assoc ,e elems :test (multiset-equal-fun ,ms)))) (if pair (incf (the fixnum (cdr pair))) (setf (multiset-elements ,ms) (push (cons e 1) elems)))))) ;;; LIST-TO-MULTISET list ;;; returns a new multiset consisting of the elements in list. ;;; (defmacro list-to-multiset (list &optional (equal-fun #'eq)) ` (let ((ms (multiset-new ,equal-fun))) (declare (type multiset ms)) (dolist (e ,list) (multiset-insert ms e)) ms)) ;;; MULTISET-TO-SET ms ;;; returns a set contains element in ms. (defmacro multiset-to-set (ms) `(mapcar #'car (multiset-elements ,ms))) ;;; MULTISET-DELETE ms e ;;; removes one occurrence of e in ms. ;;; (defmacro multiset-delete (ms e) (once-only (ms) `(let* ((elems (multiset-elements ,ms)) (pair (assoc ,e elems :test (multiset-equal-fun ,ms)))) (when pair (when (zerop (decf (the fixnum (cdr pair)))) (setf (multiset-elements ,ms) (delete e elems :test (multiset-equal-fun ,ms) :key #'car))))))) ;;; MULTISET-MERGE m1 m2 ;;; inserts each elements of m2 into m1. leaves m2 unchanged. ;;; equality is determined with respect to m1. ;;; (defmacro multiset-merge (m1 m2) (once-only (m1) `(let ((m1-elems (multiset-elements ,m1)) (equal-fun (multiset-equal-fun ,m1))) (dolist (e2 (multiset-elements ,m2)) (let ((pair (assoc (car e2) m1-elems :test equal-fun))) (if pair (incf (the fixnum (cdr m1-elems)) (the fixnum (cdr pair))) (push e2 m1-elems))))))) ;;; MULTISET-INTERSECTION m1 m2 ;;; returns a new multiset with all elements that occur in both m1 and m2, ;;; with the number of occurences being the smaller of the two. ;;; leaves m1 and m2 unchanged. ;;; (defmacro multiset-intersectin (m1 m2) (once-only (m1) `(let ((m1-elems (multiset-elements ,m1)) (equal-fun (multiset-equal-fun ,m1)) (new-elems nil)) (dolist (e2 (multiset-elements ,m2)) (let ((pair (assoc (car e2) m1-elems :test equal-fun))) (when pair (push (cons (car pair) (min (cdr pair) (cdr e2))) new-elems)))) (multiset-create equal-fun new-elems)))) ;;; MULTISET-DIFF m1 m2 ;;; returns the new multiset formed by removing from m1 each elements that ;;; occurs in m2, the number of times it occurs. Thus, the relationship ;;; m1 + m2 == (m1 - m2) + (m1 ^ m2) + (m2 - m1) will hold. ;;; (defmacro multiset-diff (m1 m2) (once-only (m1) `(let ((m1-elems (multiset-elements ,m1)) (equal-fun (multiset-equal-fun ,m1)) (new-elems nil)) (dolist (e2 (multiset-elements ,m2)) (let ((pair (assoc (car e2) m1-elems :test equal-fun))) (if pair (let ((count (- (cdr pair) (cdr e2)))) (when (< 0 count) (push (cons (car pair) count) new-elems))) (push (cons (car par) (cdr pair)) new-elems)))) (multiset-create equal-fun new-elems)))) ;;; MULTISET-COUNT m e ;;; returns the nubmer of occurences of e in m. ;;; (defmacro multiset-count (m e) (once-only (m) `(let ((pair (assoc ,e (multiset-elements ,m) :test (multiset-equal-fun ,m)))) (if pair (cdr pair) 0)))) ;;; MULTISET-COPY m ;;; returns a new multiset with the same contents and the same equality function as m. ;;; (defmacro multiset-copy (m) `(multiset-create (multiset-equal-fun ,m) (copy-tree (multiset-elements ,m)))) ;;; *********** ;;; Boolean Ops_________________________________________________________________ ;;; *********** ;;; define boolean control extensions to and, or, not... the bit operators ;;; are there, but not the more general short-circuting ones. ;;; Some of these will only make sense on two operands, and many can't short ;;; circuit (exclusive ops, for instance). ;;; xor ;;; True only if exactly one predicate is true. Short circutes when it finds ;;; a second one is true. Returns the true predicate. #-:Allegro-v6.0 (defmacro xor (&rest predicates) (let ((result (gensym)) (temp (gensym)) (block-name (gensym))) `(block ,block-name (let ((,result ,(car predicates)) ,temp) ,@(let (code-result) (dolist (pred (cdr predicates)) (push `(cond ((and (setq ,temp ,pred) ,result) (return-from ,block-name nil)) (,temp (setq ,result ,temp))) code-result)) (nreverse code-result)) ,result)))) ;;; nand ;;; True only if all predicates are not true. Short circutes when it finds ;;; one is false. (defmacro nand (&rest predicates) (let ((block-name (gensym))) `(block ,block-name ,@(let (code-result) (dolist (pred predicates) (push `(if (not ,pred) (return-from ,block-name t)) code-result)) (nreverse code-result)) nil))) ;;; nor ;;; True only if all predicates are false. Short circutes when it finds a one ;;; is true. (defmacro nor (&rest predicates) (let ((block-name (gensym))) `(block ,block-name ,@(let (code-result) (dolist (pred predicates) (push `(if ,pred (return-from ,block-name nil)) code-result)) (nreverse code-result)) t))) ;;; **** ;;; TIME________________________________________________________________________ ;;; **** (defun get-time-string (&optional universal-time) (unless universal-time (setf universal-time (get-universal-time))) (multiple-value-bind (secs min hour date month year dow) (decode-universal-time universal-time 0) ; GMT time (declare (type fixnum dow month)) (format nil "~d ~a ~d ~a ~d:~2,'0d:~2,'0d GMT" year (%svref '#(0 "Jan" "Feb" "Mar" "Apr" "May" "Jun" "Jul" "Aug" "Sep" "Oct" "Nov" "Dec") month) date (%svref '#("Mon" "Tue" "Wed" "Thu" "Fri" "Sat" "Sun") dow) hour min secs) )) ;;; elapsed-time-in-seconds ;;; ;;; Returns the time in seconds that has elapsed between Base and Now. ;;; Just subtracts Base from Now to get elapsed time in internal time units, ;;; then divides by the number of internal units per second to get seconds. (defun elapsed-time-in-seconds (base now) (declare (type integer base now) (values single-float)) (coerce (/ (- now base) internal-time-units-per-second) 'single-float)) (defun time-in-seconds (sum) (declare (type integer sum) (values single-float)) (coerce (/ sum internal-time-units-per-second) 'single-float)) ;;; **** ;;; MISC________________________________________________________________________ ;;; **** (defmacro every2len (fn l1 l2) (let* ((lmbd (cadr fn)) (args (cadr lmbd)) (bdy (cddr lmbd))) ` (let ((lst1 ,l1) (lst2 ,l2) ,@args) (loop (when (null lst1) (return (null lst2))) (when (null lst2) (return (null lst1))) (setq ,(car args) (car lst1)) (setq ,(cadr args) (car lst2)) (unless (progn ,@bdy) (return nil)) (setq lst1 (cdr lst1)) (setq lst2 (cdr lst2)) ) ))) (defun list2array (list) (declare (type list list) #-GCL (values simple-vector) ) #-GCL (make-array (length list) :initial-contents list) #+GCL (let ((len (length list))) (let ((arr (si:make-vector t len nil nil nil 0 nil)) (i 0)) (declare (fixnum i)) (dolist (e list) (si:aset arr i e) (setq i (1+ i))) arr))) (defun make-list-1-n (n) (declare (type fixnum n) (values list)) (let ((result nil)) (dotimes-fixnum (x n) (push (+ x 1) result)) (reverse result))) (defun make-list-1-n-0 (n) (declare (type fixnum n) (values list)) (let ((result nil)) (dotimes-fixnum (x n) (push (+ x 1) result)) (push 0 result) (reverse result))) ;;; ;;; REMOVEABLE ASSOCIATION TABLE ;;; (defmacro find-in-assoc-table (table key &optional (test '#'equal)) `(cdr (assoc ,key ,table :test ,test))) (defmacro get-entry-in-assoc-table (table key &optional (test '#'equal)) `(assoc ,key ,table :test ,test)) (defmacro delete-entry-from-assoc-table (table key &optional (test '#'equal)) ` (let ((entry (assoc ,key ,table :test ,test))) (when entry (setq ,table (delete entry ,table :test #'eq))))) (defmacro delete-object-from-assoc-table (table object &optional (test '#'eq)) ` (let ((entry (rassoc ,object ,table :test ,test))) (when entry (setq ,table (delete entry ,table :test #'eq))))) (defmacro add-to-assoc-table (table key value &optional (test '#'equal)) (once-only (table key value) ` (let ((entry (get-entry-in-assoc-table ,table ,key ,test))) (if entry (setf (cdr entry) ,value) (prog1 ,value (push (cons ,key ,value) ,table)))))) (defmacro object-is-in-assoc-table? (table object &optional (test '#'eq)) `(rassoc ,object ,table :test ,test)) ;;; ******************* ;;; FIXNUM COMPUTATIONS ;;; ******************* ;; (declaim (inline test-and make-and make-or make-xor)) ;; (declaim (inline logand logior logxor)) ;; #-GCL (declaim (ftype (function (fixnum fixnum) (or null t)) test-and)) ;; #-GCL (declaim (ftype (function (fixnum fixnum) (or null t)) make-and)) ;; #-GCL (declaim (ftype (function (fixnum fixnum) (or null t)) make-or)) ;; #-GCL (declaim (ftype (function (fixnum fixnum) (or null t)) make-xor)) #+gcl (Clines "static object test_and (a, b) object a, b; {register int x = fix(a); register int y = fix(b); return(x & y) ? Ct : Cnil;}") #+gcl (defentry test-and (object object) (object test_and)) #-gcl (defmacro test-and (a b) `(not (zerop (logand (the fixnum ,a) (the fixnum ,b))))) #+gcl (Clines "static object make_and (a, b) object a, b; {register object res = alloc_object(t_fixnum); register int x = fix(a); register int y = fix(b); fix(res) = x & y; return res;}") #+gcl (defentry make-and (object object) (object make_and)) #-gcl (defmacro make-and (*a *b) `(logand (the fixnum ,*a) (the fixnum ,*b))) #+gcl (Clines "static object make_or (a,b) object a,b; {register object x = alloc_object(t_fixnum); register int ax = fix(a); register bx = fix(b); fix(x) = ax | bx; return x;}") #+gcl (defentry make-or (object object) (object make_or)) #-gcl (defmacro make-or (*a *b) `(logior (the fixnum ,*a) (the fixnum ,*b))) #+gcl (Clines "static object make_xor (a,b) object a,b; {register object x = alloc_object(t_fixnum); register int ax = fix(a); register bx = fix(b); fix(x) = ax ^ bx; return x;}") #+gcl (defentry make-xor (object object) (object make_xor)) #-gcl (defmacro make-xor (*a *b) `(logxor (the fixnum ,*a) (the fixnum ,*b))) #+gcl (Clines "static object expt_fixnum (a, b) object a,b; {object result = alloc_object(t_fixnum); unsigned int x = fix(a); unsigned int y = fix(b); unsigned int z = 1; while (y > 0) if (y%2 == 0) { x *= x; y /= 2; } else {z *= x; --y;} fix(result) = z; return result;}") #+gcl (defentry expt-fixnum (object object) (object expt_fixnum)) ;;; (declaim (inline expt-fixnum expt2)) #-gcl (defmacro expt-fixnum (x y) `(expt (the fixnum ,x) (the fixnum ,y))) #+gcl (Clines " static unsigned int bit_vector[32] = { 1<<0, 1<<1, 1<<2, 1<<3, 1<<4, 1<<5, 1<<6, 1<<7, 1<<8, 1<<9, 1<<10, 1<<11, 1<<12, 1<<13, 1<<14, 1<<15, 1<<16, 1<<17, 1<<18, 1<<19, 1<<20, 1<<21, 1<<22, 1<<23, 1<<24, 1<<25, 1<<26, 1<<27, 1<<28, 1<<29, 1<<30, 1<<31, };" ) #+gcl (Clines "static object expt2 (a) object a; {unsigned int res; register int x = fix(a); if (x < 32) { return (make_fixnum(bit_vector[x])); } else { FEerror(\"aho\");} }" ) #+gcl (defentry expt2 (object)(object expt2)) ;;; (declaim (inline expt2)) #-gcl (defmacro expt2 (x) `(expt 2 (the fixnum ,x))) ;;; EOF cafeobj-1.5.4/comlib/msg-test.lisp0000644000000000000000000001143412605345045015520 0ustar rootroot;;;-*- Mode:LISP; Package:CHAOS; Base:10; Syntax:Common-lisp -*- ;;; ;;; Copyright (c) 2000-2015, Toshimi Sawada. All rights reserved. ;;; ;;; Redistribution and use in source and binary forms, with or without ;;; modification, are permitted provided that the following conditions ;;; are met: ;;; ;;; * Redistributions of source code must retain the above copyright ;;; notice, this list of conditions and the following disclaimer. ;;; ;;; * Redistributions in binary form must reproduce the above ;;; copyright notice, this list of conditions and the following ;;; disclaimer in the documentation and/or other materials ;;; provided with the distribution. ;;; ;;; THIS SOFTWARE IS PROVIDED BY THE AUTHOR 'AS IS' AND ANY EXPRESSED ;;; OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED ;;; WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ;;; ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY ;;; DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL ;;; DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE ;;; GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS ;;; INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, ;;; WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING ;;; NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS ;;; SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. ;;; ;;; (in-package :chaos) #|============================================================================== System: CHAOS Module: comlib File: message.lisp ==============================================================================|# #-:chaos-debug (declaim (optimize (speed 3) (safety 0) #-GCL (debug 0))) #+:chaos-debug (declaim (optimize (speed 1) (safety 3) #-GCL (debug 3))) (defvar *Panic-messages* (make-hash-table)) (defvar *Error-messages* (make-hash-table)) (defvar *Warning-messages* (make-hash-table)) (defvar *Simple-messages* (make-hash-table)) (defvar *Messages* (make-hash-table)) (defun flush-all () (finish-output *standard-output*) (finish-output *error-output*) ) (defun fresh-all () (fresh-line *standard-output*) (fresh-line *error-output*)) (defun get-msg-fmt (type id) (case type (:panic (gethash id *Panic-messages*)) (:error (gethash id *Error-messages*)) (:warning (gethash id *Warning-messages*)) (:smessage (gethash id *Simple-messages*)) (:message (gethash id *Messages*)) (otherwise (error "Internal error: unknown message type ~a" type)) )) (defun output-msg (type id prefix &rest args) (apply #'format t (concatenate 'string prefix (get-msg-fmt type id)) args)) (defmacro with-output-chaos-error-n ((msg-id args &optional (tag 'to-top tag-p)) &body body) ` (progn (let ((*standard-output* *error-output*) (*print-indent* 4)) (output-msg :error ',msg-id "~%[Error]:" ,args) ,@body) ,(if (and tag-p (eq tag 'to-top)) `(chaos-to-top) `(chaos-error ,tag) ))) (defmacro with-output-chaos-warning-n ((msg-id args) &body body) ` (unless *chaos-quiet* (let ((*standard-output* *error-output*) (*print-indent* 4)) (output-msg :warning ',msg-id "~&[Warning]: " ,args) ,@body) (flush-all))) (defmacro with-output-panic-message-n ((msg-id args) &body body) ` (progn (let ((*standard-output* *error-output*)) (output-msg :panic ',msg-id "~&!! PANIC !!: " ,args) ,@body) (chaos-to-top))) ;;; (defmacro with-output-msg-n ((msg-id args &optional (stream '*error-output*)) &body body) ` (unless *chaos-quiet* (let ((*standard-output* ,stream) (*print-indent* 3)) (output-msg :message ',msg-id "~&-- " ,args) ,@body) (flush-all))) (defmacro with-output-simple-msg-n ((msg-id args &optional (stream '*error-output*)) &body body) ` (unless *chaos-quiet* (let ((*standard-output* ,stream) (*print-indent* 2)) (output-msg :smessage "~&" ',msg-id ,args) ,@body) (flush-all))) ;;; (defun print-in-progress (str) (unless *chaos-quiet* (princ str *error-output*) (finish-output *error-output*))) ;;; I-miss-current-module me ;;; Checks if the *current-module* is bound, returns nil with an error mesage if ;;; *current-mdoule* is not bound to non-nil value. ;;; - me must a name (symbol) of a block. ;;; (defmacro I-miss-current-module (me) ` (unless *current-module* (fresh-all) (flush-all) (with-output-panic-message (:p-no-module '(,me)) ;; (format t "in ~a : no current module is specified!" ',me) (force-output) (finish-output) (return-from ,me nil)))) ;;; EOF cafeobj-1.5.4/comlib/print-utils.lisp0000644000000000000000000002355212605345045016253 0ustar rootroot;;;-*- Mode:LISP; Package:CHAOS; Base:10; Syntax:Common-lisp -*- ;;; ;;; Copyright (c) 2000-2015, Toshimi Sawada. All rights reserved. ;;; ;;; Redistribution and use in source and binary forms, with or without ;;; modification, are permitted provided that the following conditions ;;; are met: ;;; ;;; * Redistributions of source code must retain the above copyright ;;; notice, this list of conditions and the following disclaimer. ;;; ;;; * Redistributions in binary form must reproduce the above ;;; copyright notice, this list of conditions and the following ;;; disclaimer in the documentation and/or other materials ;;; provided with the distribution. ;;; ;;; THIS SOFTWARE IS PROVIDED BY THE AUTHOR 'AS IS' AND ANY EXPRESSED ;;; OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED ;;; WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ;;; ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY ;;; DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL ;;; DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE ;;; GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS ;;; INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, ;;; WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING ;;; NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS ;;; SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. ;;; (in-package :chaos) #|============================================================================== System: CHAOS Module: comlib File: print-utils.lisp =============================================================================|# #-:chaos-debug (declaim (optimize (speed 3) (safety 0) #-GCL (debug 0))) #+:chaos-debug (declaim (optimize (speed 1) (safety 3) #-GCL (debug 3))) ;;;----------------------------------------------------------------------------- ;;; Utilities for printing ;;;----------------------------------------------------------------------------- ;;; PRINT CONTROL VARIABLES 00-------------------------------------------------- ;;; *print-line-limit* : the limit of length of a line ;;; *print-indent* : current indent level. ;;; *print-indent-increment* : number of spaces per one indentation. ;;; ;;; FILECOL -- output column position ;;; ;; (declaim (function filecol (stream) fixnum)) ;;(declaim (function filecol (t) fixnum)) #+GCL (Clines "static object filecol(x) object x; {return(make_fixnum(file_column(x)));}") ;;(defCfun "object filecol(x) object x;" 0 ;; " Creturn(make_fixnum(file_column(x)));" ;; ) #+GCL (defentry filecol (object) (object filecol)) #+LUCID (defun filecol (x) (declare (values fixnum)) (lucid::calculate-output-column x)) #+CMU (defun filecol (x) (declare (values fixnum)) (let ((val (lisp::charpos x))) (if val val 0))) #+EXCL (defun filecol (x) (declare (values fixnum)) (let ((val (excl::charpos x))) (if val val 0))) #+:openmcl (defun filecol (x) (declare (values fixnum)) (stream-line-column x)) #+:SBCL (defun filecol (x) (declare (values fixnum)) (let ((val (sb-kernel::charpos x))) (if val val 0))) #-(or GCL KCL LUCID CMU EXCL :openmcl SBCL) (defun filecol (x) (declare (ignore x)) 0) ; use this if you cannot define as ;; (declaim (function file-column (stream) fixnum)) #|| (defun file-column (strm) (if (typep strm 'stream) (filecol strm) 0)) ||# (defun file-column (strm) (declare (inline filecol) (values fixnum)) (filecol strm)) ;;; print-check ;;; checks the current column exceeds the line limit, if so ;;; newline and indent. ;;; #|| (defun print-check (&optional (indent 0) (fwd 0) (stream *standard-output*)) (declare (type fixnum indent fwd)) (if (<= *print-line-limit* (+ (file-column stream) fwd)) (progn (terpri stream) (when (>= (1+ indent) *print-line-limit*) (setq indent 0) (setq .file-col. (* *print-indent* *print-indent-increment*))) (if (= 0 indent) (dotimes (i (* *print-indent* *print-indent-increment*)) (princ #\space stream)) (dotimes (i indent) (princ #\space stream))) t) nil)) ||# (defun print-check (&optional (indent 0) (fwd 0) (stream *standard-output*)) (declare (type fixnum indent fwd)) (if (<= *print-line-limit* (+ (file-column stream) fwd)) (progn (print-next) (when (>= (1+ indent) *print-line-limit*) (setq .file-col. (* *print-indent* *print-indent-increment*))) #|| (dotimes (i indent) (princ #\space stream)) ||# t) nil)) ;;; print-indent ;;; indentation. ;;; (defun print-indent (indent-char &optional (n *print-indent*) (stream *standard-output*)) (declare (type fixnum n)) (dotimes (i (the fixnum (* n *print-indent-increment*))) (declare (type fixnum i)) (princ indent-char stream))) ;;; print-centering ;;; print the given string centering ;;; #|| (defun print-centering (string &optional (fill-char " ") (stream *standard-output*)) (declare (type simple-string string)) (let ((fill-col (truncate (+ (/ (- *print-line-limit* (length string)) 2.0) 0.5)))) (declare (type fixnum fill-col)) (dotimes (x fill-col) (declare (type fixnum x)) (princ fill-char stream)) (princ string stream) (unless (equal fill-char " ") (dotimes (x fill-col) (declare (type fixnum x)) (princ fill-char stream)) ))) ||# (defparameter .terminal-width. 70) (defun print-centering (string &optional (fill-char " ") (stream *standard-output*)) (declare (type simple-string string)) (let ((fill-col (truncate (+ (/ (- .terminal-width. (length string)) 2.0) 0.5)))) (declare (type fixnum fill-col)) (dotimes (x fill-col) (declare (type fixnum x)) (princ fill-char stream)) (princ string stream) (unless (equal fill-char " ") (dotimes (x fill-col) (declare (type fixnum x)) (princ fill-char stream)) ))) ;;; print-to-right ;;; print the given string ;;; (defun print-to-right (string &optional (fill-char " ") (stream *standard-output*)) (declare (type simple-string string) (type (or character simple-string) fill-char) (type stream stream)) (dotimes (x (- .terminal-width. 1 (filecol stream) *print-indent* (length string))) (declare (type fixnum x)) (princ fill-char stream)) (princ " " stream) (princ string stream)) ;;; print-to-left ;;; print the given string ;;; (defun print-to-left (string &optional (fill-char nil) (stream *standard-output*)) (declare (type simple-string string) (type (or null character simple-string) fill-char) (type stream stream)) (let ((*print-line-limit* .terminal-width.)) (princ string stream) (princ " " stream) (if fill-char (dotimes (x (- *print-line-limit* 1 *print-indent* (filecol stream) (length string))) (declare (type fixnum x)) (princ fill-char stream))))) ;;; print-next ;;; print new-line iff the current column is not at the beggining of line ;;; and then indent. given prefix is printed afer the indentation if any. ;;; (defun print-next (&optional (prefix nil) (n *print-indent*) (stream *standard-output*)) (declare (type fixnum n) (type stream stream)) #+SBCL (progn (terpri stream) (print-indent #\space n stream)) #-SBCL (when (fresh-line stream) (print-indent #\space n stream)) (when prefix (princ prefix stream))) (defun print-next-prefix (prefix-char &optional (prefix nil) (n *print-indent*) (stream *standard-output*)) (declare (type fixnum n) (type stream stream) (type character prefix-char)) (when (fresh-line stream) (print-indent prefix-char n stream)) (when prefix (princ prefix stream))) ;;; print-simple ;;; (defun print-simple (x &optional (stream *standard-output*)) (declare (type stream stream)) (cond ((atom x) (prin1 x stream)) (t (let ((flag nil) (tail x)) (princ "(" stream) (loop (when (not (consp tail)) (return)) (if flag (princ " " stream) (setq flag t)) (print-simple (car tail) stream) (setq tail (cdr tail))) (when tail (princ " . " stream) (prin1 tail stream)) (princ ")" stream) )))) ;;; print-simple-princ ;;; (defun print-simple-princ (x &optional (stream *standard-output*)) (declare (type stream stream)) (let ((.file-col. .file-col.)) (cond ((atom x) (princ x stream)) (t (let ((flag nil) (tail x)) (princ "(" stream) (setq .file-col. (1+ (file-column stream))) (loop (when (not (consp tail)) (return)) (if flag (princ " " stream) (setq flag t)) (print-simple-princ (car tail) stream) (setq tail (cdr tail))) (when tail (princ " . " stream) (prin1 tail stream)) (princ ")" stream))) ))) ;;; print-simple-princ-open ;;; (defun print-simple-princ-open (x &optional (stream *standard-output*)) (declare (type stream stream)) (let ((.file-col. .file-col.)) (print-check .file-col. 0 stream) (cond ((atom x) (princ x stream)) (t (let ((flag nil) (tail x)) (loop (when (not (consp tail)) (return)) (if flag (princ #\space stream) (setq flag t)) (print-simple-princ (car tail) stream) (setq tail (cdr tail)) ) (when tail (princ " ... " stream) (prin1 tail stream))))) )) ;;; EOF cafeobj-1.5.4/comlib/process.lisp0000644000000000000000000001702312605345045015433 0ustar rootroot;;;-*- Mode:Lisp; Syntax:Common-Lisp; Package:CHAOS -*- ;;; ;;; Copyright (c) 2000-2015, Toshimi Sawada. All rights reserved. ;;; ;;; Redistribution and use in source and binary forms, with or without ;;; modification, are permitted provided that the following conditions ;;; are met: ;;; ;;; * Redistributions of source code must retain the above copyright ;;; notice, this list of conditions and the following disclaimer. ;;; ;;; * Redistributions in binary form must reproduce the above ;;; copyright notice, this list of conditions and the following ;;; disclaimer in the documentation and/or other materials ;;; provided with the distribution. ;;; ;;; THIS SOFTWARE IS PROVIDED BY THE AUTHOR 'AS IS' AND ANY EXPRESSED ;;; OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED ;;; WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ;;; ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY ;;; DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL ;;; DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE ;;; GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS ;;; INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, ;;; WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING ;;; NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS ;;; SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. ;;; (in-package :CHAOS) #|============================================================================== System: Chaos Module: comlib File: process.lisp ==============================================================================|# #-:chaos-debug (declaim (optimize (speed 3) (safety 0) #-GCL (debug 0))) #+:chaos-debug (declaim (optimize (speed 1) (safety 3) #-GCL (debug 3))) ;;; *NOTE* GCL Specific ;;; ************************************ ;;; SPAWNING PROCESS WITH TOW-WAY STREAM ;;; ************************************ ;;; ;;; The following C codes are borrowed from GCL run_process.c ;;; with some minor bug fixes including enhancements by ishisone@sra.co.jp. ;;; (Clines " #undef PAGESIZE #include /* errno global, error codes for UNIX IO */ #include /* Data types definitions */ #include /* Socket definitions with out this forget it */ #include /* Internet address definition AF_INET etc... */ #include /* UNIX Signal codes */ #include /* IO control standard UNIx fair */ #include #include /* Function to set socket aync/interrupt */ #include /* Time for select time out */ #include /* Data Base interface for network files */ /* patch by ishisone@sra.co.jp */ #include /* Wait system call options */ /* patch end */ #include static char *lisp_to_string(string) object string; { int i, len; char *sself; char *cstr; len = string->st.st_fillp; cstr = (char *) malloc (len+1); sself = &(string->st.st_self[0]); for (i=0; ism.sm_mode = smm_input; stream_in->sm.sm_fp = fp1; stream_in->sm.sm_int0 = sockets_in[1]; stream_in->sm.sm_int1 = 0; /* patch by sawada@sra.co.jp -- repairing printing problem */ stream_in->sm.sm_object0 = sLstring_char; stream_in->sm.sm_object1 = Cnil; /* end patch */ stream_out = (object) alloc_object(t_stream); stream_out->sm.sm_mode = smm_output; stream_out->sm.sm_fp = fp2; setup_stream_buffer(stream_in); setup_stream_buffer(stream_out); stream_out->sm.sm_int0 = sockets_out[1]; stream_out->sm.sm_int1 = 0; /* patch by sawada@sra.co.jp -- ditto */ stream_out->sm.sm_object0 = sLstring_char; stream_out->sm.sm_object1 = Cnil; /* patch end */ stream = make_two_way_stream(stream_in, stream_out); return(stream); } /* the routines for spawning off a process with streams * * Assumes that istream and ostream are both associated * with \"C\" type streams. */ static spawn_child(istream, ostream, pname, argv) object istream; object ostream; char *pname; char **argv; { int fdin; int fdout; if (istream->sm.sm_fp == NULL || ostream->sm.sm_fp == NULL) FEerror(\"Cannot spawn process with given stream\", 0); fdin = istream->sm.sm_int0; fdout = ostream->sm.sm_int0; if (fork() == 0) { /* the child --- replace standard in and out with descriptors given */ /* patch by ishisone@sra.co.jp */ setsid(); /* in order to get rid of job control */ fclose(istream->sm.sm_fp); /* close parent-side file desc. */ fclose(ostream->sm.sm_fp); /* ditto */ /* end patch */ close(0); dup(fdin); close(1); dup(fdout); if (execvp(pname, argv) == -1) { fprintf(stderr, \"\\n***** Error in process spawning *******\"); fflush(stderr); exit(1); } } /* patch by ishisone@sra.co.jp */ else { /* the parent */ close(fdin); /* close child-side file descriptor */ close(fdout); /* ditto */ } /* end patch */ } /* #if defined(NeXT) # define WAITPID(pid, statusp, options) \ wait3((union wait*)statusp, options, (struct rusage*)0) #else # define WAITPID(pid, statusp, options) \ waitpid(pid, statusp, options) #endif */ /* patch by ishisone@sra.co.jp */ static reap_child() { /* int dummy; while (WAITPID(-1, &dummy, WNOHANG) > 0) ; */ } /* end patch */ static run_child(file, arglist) object file; object arglist; { char *filename = object_to_string(file); char *argv[100]; object stream; int i; /* patch by ishisone@sra.co.jp */ signal(SIGCHLD, reap_child); /* end patch */ argv[0] = \"\"; for(i = 1; arglist != Cnil; i++) { argv[i] = lisp_to_string(arglist->c.c_car); arglist = arglist->c.c_cdr; } argv[i] = (char *)0; stream = make_pipe(); spawn_child(stream->sm.sm_object1, stream->sm.sm_object0, filename, argv); return(stream); } " ) (defentry run-child (object object) (object run_child)) (defentry make-pipe () (object make_pipe)) ;;; ;;; (defstruct process (name "" :type string :read-only t) (in-stream) (out-stream)) ;;; (defun run-process (program &optional args) (let ((stream (run-child program args))) (make-process :name program :in-stream (si::fp-input-stream stream) :out-stream (si::fp-output-stream stream)))) (defmacro with-write-to-process ((process) &body body) ` (let ((*standard-output* (process-out-stream ,process))) ,@body (finish-output))) (defmacro with-read-from-process ((process) &body body) ` (let ((*standard-input* (process-in-stream ,process))) ,@body )) cafeobj-1.5.4/comlib/reader.lisp0000644000000000000000000012713712605345045015227 0ustar rootroot;;;-*- Mode:LISP; Package:CHAOS; Base:10; Syntax:Common-lisp -*- ;;; ;;; Copyright (c) 2000-2015, Toshimi Sawada. All rights reserved. ;;; ;;; Redistribution and use in source and binary forms, with or without ;;; modification, are permitted provided that the following conditions ;;; are met: ;;; ;;; * Redistributions of source code must retain the above copyright ;;; notice, this list of conditions and the following disclaimer. ;;; ;;; * Redistributions in binary form must reproduce the above ;;; copyright notice, this list of conditions and the following ;;; disclaimer in the documentation and/or other materials ;;; provided with the distribution. ;;; ;;; THIS SOFTWARE IS PROVIDED BY THE AUTHOR 'AS IS' AND ANY EXPRESSED ;;; OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED ;;; WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ;;; ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY ;;; DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL ;;; DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE ;;; GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS ;;; INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, ;;; WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING ;;; NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS ;;; SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. ;;; (in-package :chaos) #|============================================================================== System:Chaos Module:comlib File: reader.lisp ==============================================================================|# #-:chaos-debug (declaim (optimize (speed 3) (safety 0) #-GCL (debug 0))) #+:chaos-debug (declaim (optimize (speed 1) (safety 3) #-GCL (debug 3))) ;;; SCHEMA BASED Genral Reader. ;;; ;;; BASED ON OBJ3 READER ROUTINES. ;;; ;;;; Copyright 1988,1991 SRI International. ;;; ;;; SCHEMA ;;;============================================================================= ;;; Schemas match patterns ;;; choices must be determined by first symbol of context ;;; e.g. if an optional element doesn't occur what occurs first ;;; must be an explicit symbol in the schema ;;; ;;;--- BUILT-IN PATTERNS ------------------------------------------------------- ;;; To parse the OBJ3 syntax more easier, these definitions are just the same ;;; as of OBJ3 schema. ;;; ;;; (:optional PAT) - optional occurrence of pattern ;;; (:if-present PAT) - optional occurrence of pattern ;;; *NOTE* ;;; :optional - omit if next token matches following context ;;; :if-present - assume if first matches ;;; (:one-of PAT1 PAT2 ...) - one of patterns determined by first of patterns ;;; (:one-of-default PAT1 PAT2 ...) ... with a default to PAT1 ;;; (:seq-of PAT) - some number of repetitions of PAT ;;; (:many-of PAT1 PAT2 ...) - roughly (:seq-of (:one-of PAT1 ...)) ;;; :symbol - a symbol ;;; :symbols - (:seq-of :symbol) ;;; :int - an integer ;;; :term - sequence of tokens up to terminator which follows ;;; :sort - a sort name (possibly qualified) ;;; :sorts - (:seq-of :sort) ;;; :comment - string of characters to end of current line ;;; :commentlong - variation of above with provision for long comments ;;; (:+ a b c) - any of several symbols ;;; (:! SCHEMA-NAME) - match the named schema ;;; (:call LISP-EXPR) - escape to Lisp ;;; (:rdr ("char1" "char2"...) PAT) - make characters be single-char and ;;; then match pattern, returning status of characters to previous when done ;;; :modexp - read a term with balanced (/) [/] view/endv ;;; particular tricky case: view A to B[view C to D is ... endv] { ... } ;;; :chaos-item - read a (possibly parenthesized) item ;;; otherwise: symbol - matches symbol if it is not defined as the schema name. ;;; (:pred PREDICATE) - matches a token satisfying predicate ;;; :append PAT - analogous to ,@; incorporate structure from PAT ;;; into result "removing one set of parentheses" ;;; :upto - specify ending context for repeated form ;;; :args - for command arguments. read rest of line till \newline. ;;; ;;;--- DEFINING NEW SCHEMA & Its Reader .... (defvar *reader-special-schema-patterns* nil) ;;; READER schema-pattern-name schemas ;;; read input from *standard-input*, parse according to schemas ;;; (defun reader (name schms) (declare (type symbol name) (type list schms) (values t)) (let ((*reader-schema-env* schms)) (!lex-read-init) (read-named name *reader-void* nil) )) ;;; ;;; ERROR HANDLERS ;;; (defun abort-general-reader (msg) (with-output-chaos-error ('reader-error) (princ msg) (when *chaos-input-source* (print-next) (princ "file: ") (princ (namestring *chaos-input-source*))) (when (and *reader-current-schema* (general-read-is-simple-schema *reader-current-schema*)) (print-next) (princ "expecting: ") (let ((*print-indent-contin* t)) ;; (break) ;; (general-read-print-schema *reader-current-schema*) (general-read-display-schema *reader-current-schema* :short))) (when *reader-starting-position* (print-next) (princ "starting character position was: ") (princ *reader-starting-position*)))) (defun general-read-eof-error () (declare (values t)) (abort-general-reader "Unexpected EOF.")) (defun general-read-abort () (declare (values t)) (abort-general-reader "Cancel reading input...")) ;;; STRING-MATCH string1 string2 ;;; basic string matching function. ;;; (defun string-match (x y) (declare (values (or null t))) (cond ((stringp x) (string= (the simple-string x) (if (stringp y) (the simple-string y) (the simple-string (string-downcase (string y)))))) ((characterp x) (eql (the character x) (the character y))) (t (eq x y)))) ;;; GENERAL-READ-STRING-MATCHES : token pattern -> Bool ;;; used to match tokens against "patterns" which should be ;;; either a symbol, string, or of one of the forms ;;; (:+ a b c ...) or (:pred PRED) ;;; (defun general-read-string-matches (x y) (declare (values (or null t))) (and (atom x) (if (atom y) (string-match x y) (or (and (eq ':pred (car y)) (funcall (cadr y) x)) (if (eq ':+ (car y)) (member x (cdr y) :test #'string-match) (member x y :test #'string-match)))))) ;;; GENERAL-READ-NUMBERP token -> Bool ;;; is a token an integer? ;;; (defun general-read-numberp (str) (declare (type simple-string str) (values (or null t))) (let ((p 0) (len (length str))) (declare (type fixnum p len)) (when (member (char str p) '(#\+ #\-)) (incf p) (when (= 1 len) (return-from general-read-numberp nil))) (loop (when (= len p) (return t)) (when (not (digit-char-p (char str p))) (return nil)) (incf p) ))) ;;; GENERAL-READ ;;; the workhorse general read routine ;;; it dispatches to routines to handle the various cases ;;; op general-read : {*standard-input*} schema context -> ;;; {*standard-input*} parse-tree (defun general-read (schema context &optional (allow-other nil)) (declare (type list schema context) (type (or null t) allow-other) (values t)) ;; (let ((*reader-current-schema* schema) (*reader-current-context* context) (*reader-starting-position* (if (at-top-level) nil (file-position *standard-input*))) (result nil)) (setq result (catch :aborting-read (cond ((null schema) nil) (t (let ((elt (car schema)) (rest (cdr schema))) (let ((restcontext (if rest rest context))) (cond ((symbolp elt) (case elt (:unread (read-continue (unread-token) rest context)) (:optional (read-optional rest context)) (:if-present (read-if-present rest context)) (:one-of (read-one-of rest context)) (:one-of-default (read-one-of-default rest context)) (:many-of ;like one-of but with repetitions (read-many-of rest context)) (:seq-of (read-seq-of rest context)) (:symbol (read-continue (!read-sym) rest context)) (:symbols (read-continue (read-seq-of '(:symbol) restcontext) rest context)) (:int (let ((val (!read-sym))) (cond ((general-read-numberp val) (read-continue val rest context)) (t (with-output-chaos-error ('reader-error) (princ "was expecting an integer not ") (princ val) (print-next) (general-read-show-context) (clear-input) ))))) (:top-term (read-continue (read-term-at-top restcontext) rest context)) (:term (read-continue (read-term restcontext) rest context)) ;; (:term-to (read-continue (read-term-to restcontext) ;; rest context)) (:top-opname (read-continue (read-opname-at-top restcontext) rest context)) (:opname (read-continue (read-opname restcontext) rest context)) (:sort (read-continue (read-sort restcontext) rest context)) (:sorts (read-continue (read-sorts restcontext) rest context)) (:chars (read-continue (read-chars restcontext) rest context)) (:optattr (read-continue (read-opattr restcontext) rest context)) (:comment (read-continue (read-comment-line) rest context)) (:commentlong (read-continue (general-read-commentlong) rest context)) (:+ (read-any-one rest)) (:! ; use named description (read-named (car rest) context)) (:call (eval (car rest))) (:append (let* ((rr (cdr rest)) (rc (if rr rr context))) (read-continue-append (general-read (car rest) rc) rr context))) (:rdr (let ((cur (!set-single-reader (car rest)))) (prog1 (general-read (cdr rest) context) (!set-reader cur)))) (:modexp (read-continue (read-module-exp (car restcontext)) rest context)) (:super (read-continue (read-super-exp (car restcontext)) rest context)) (:chaos-item (!read-discard) (let ((val (lex-read))) (let ((a (if (null (cdr val)) (car val) val))) (read-continue a rest context)))) (:args (read-args rest context)) (otherwise (if allow-other ;; we read input as a seq-of term (general-read '(:seq-of :term) '(void)) (progn (!read-in) (cond ((string-match *reader-input* elt) (let ((inp *reader-input*)) (!read-discard) (read-continue inp rest context))) (t (with-output-chaos-error ('reader-error) (princ "was expecting the symbol ") (princ "`") (princ elt) (if (or (equal *reader-input* *lex-eof*) (equal *reader-input* control-d-string)) (format t "', premature end of input.") (format t "' not `~a'." *reader-input*)) (print-next) (general-read-show-context) (clear-input) )))))) )) ((member (car elt) '(:! :rdr)) (let ((val (general-read elt restcontext))) (cond ((eq *reader-void* val) (general-read rest context)) (t (append val (general-read rest context)))))) ((eq :upto (car elt)) (append (general-read (cddr elt) (list (cadr elt))) (general-read rest context))) (t (read-continue (general-read elt restcontext) rest context) )))))) )) (if (eq :aborting-read result) (general-read-abort) result) )) ;;; PATTERN HANDLERS ;;; ;;; READ-NAMED name context ;;; (defun read-named (name context &optional allow-other) (declare (type symbol name) (type list context) (type (or null t) allow-other)) (let ((val (assoc name *reader-schema-env* :test #'eq))) (cond (val (general-read (cadr val) context allow-other)) (t (error "Undefined name in general reader ~a" name))))) ;;; READ-OPTIONAL ;;; (defun read-optional (s c) (!read-in) (when (at-eof-or-control-d) (general-read-eof-error)) (cond ((general-read-string-matches *reader-input* (car c)) *reader-void*) (t (general-read s c))) ) ;;; READ-IF-PRESENT ;;; (defun read-if-present (s c) (declare (type list s c) (values t)) (!read-in) (when (at-eof-or-control-d) (general-read-eof-error)) (cond ((general-read-string-matches *reader-input* (car s)) (general-read s c)) (t *reader-void*))) ;;; READ-ONE-OF ;;; (defun read-one-of (s c) (declare (type list s c) (values t)) (let ((inp (!read-sym))) (when (and c (at-eof-or-control-d)) (general-read-eof-error)) (let ((val (assoc inp s :test #'general-read-string-matches))) (cond (val (cons inp (general-read (cdr val) c))) ((and (consp inp) (eq (caar inp) '|String|)) (read-one-of s c)) ((and (eq *lex-eof* inp) (assoc 'eof s)) (cons 'eof (general-read (cdr (assoc 'eof s)) c))) ((eq *lex-eof* inp) (general-read-eof-error)) (*allow-general-term-input* (unread-token) (read-term '(|.|))) (t (let ((top-level (assoc 'eof s))) (when (equal inp ".") (chaos-error 'reader-error)) (with-output-chaos-error ('reader-error) (princ "expecting one of followings:") (print-next) (let ((*print-indent-contin* t)) (general-read-print-schema (mapcar #'car s) :short)) (print-next) (princ "* NOT: ") (princ inp) (general-read-show-context) (when top-level (setq *chaos-print-errors* nil)) (clear-input) ))) )))) ;;; READ-ONE-OF-DEFAULT ;;; first alternative is a default ;;; (defun read-one-of-default (s c) (declare (type list s c) (values t)) (!read-in) (let ((val (assoc *reader-input* (cdr s) :test #'general-read-string-matches))) (cond (val (let ((inp *reader-input*)) (!read-discard) (cons inp (general-read (cdr val) c)))) ((and (reader-is-at-eof) (assoc 'eof s)) (cons 'eof (general-read (cdr (assoc 'eof s)) c))) ((reader-is-at-eof) ; !!! (general-read-eof-error)) (t (general-read (car s) c))))) ;;; READ-MANY-OF ;;; (defun read-many-of (s c) (declare (type list s c) (values t)) (let ((res nil) (close (car c))) (loop (!read-in) (when (at-eof-or-control-d) (general-read-eof-error)) (when (general-read-string-matches *reader-input* close) (return (if (null res) *reader-void* (nreverse res)))) (if (and (consp *reader-input*) (eq (caar *reader-input*) '|String|)) (setq *reader-input* *reader-void*) (setq res (cons (read-one-of s c) res)))))) ;;; READ-SEQ-OF ;;; (defun read-seq-of (s c) (declare (type list s c) (values t)) (cond ((equal '(:term) s) (read-seq-of-term c)) ((equal '(:opname) s) (read-seq-of-opname c)) ((equal '(:top-term) s) (read-seq-of-term-at-top c)) ((equal '(:top-opname) s) (read-seq-of-opname-at-top c)) (t (let ((res nil) (close (car c))) (loop (!read-in) (when (at-eof-or-control-d) (general-read-eof-error)) (when (general-read-string-matches *reader-input* close) (return (if (null res) *reader-void* res))) (setq res (append res (general-read s c))) ))))) ;;; READ-ANY-ONE ;;; (defun read-any-one (s) (declare (type list s) (values t)) (!read-in) (cond ((member *reader-input* s :test #'string-match) (!read-sym)) ((at-eof-or-control-d) (general-read-eof-error)) (t (with-output-chaos-error ('reader-error) (princ "expecting one of") (print-next) (let ((*print-indent-contin* t)) (general-read-print-schema s :short)) (print-next) (format t "NOT ") (princ *reader-input*) (general-read-show-context) (clear-input) )))) ;;; READ-CONTINUE : {*standard-input*} value schema context -> ;;; {*standard-input*} parse-tree ;;; continues the matching process ;;; the value is returned as the first component of the resulting tree ;;; (defun read-continue (v s c) (declare (type t v) (type list s c) (values t)) (cond ((eq *reader-void* v) (general-read s c)) ((equal v control-d-string) (general-read-eof-error)) (t (cons v (general-read s c))))) ;;; READ-CONTINUE-APPEND : {*standard-input*} value schema context -> ;;; {*standard-input*} parse-tree ;;; continues the matching process; appending the value given ;;; the value is returned as the first component of the resulting tree ;;; (defun read-continue-append (v s c) (declare (type t v) (type list s c) (values t)) (cond ((eq *reader-void* v) (general-read s c)) ((equal v control-d-string) (general-read-eof-error)) (t (append v (general-read s c))))) (defun general-read-show-context () (declare (values t)) (when (and *chaos-verbose* *reader-current-context* (not (eq *reader-void* *reader-current-context*))) (terpri) (princ "-- Expecting context is: ") (print-simple-princ-open *reader-current-context*) (unless *chaos-input-source* (terpri))) (when *chaos-input-source* ; nil means may be from terminal (terpri) (princ "-- file: ") (princ (namestring *chaos-input-source*)) (when (file-position *standard-input*) (princ " at character position: ") (prin1 (file-position *standard-input*))) (terpri) (when (and *reader-current-schema* (general-read-is-simple-schema *reader-current-schema*)) (princ " expecting: ") (general-read-print-schema-1 *reader-current-schema* :short) (terpri)) (when (and *reader-starting-position* (not (equal *reader-starting-position* (file-position *standard-input*)))) (princ " starting character position was: ") (prin1 *reader-starting-position*) (terpri)) (princ "-- Context:") (unless (eq *reader-void* *reader-input*) (princ *reader-input*)) (if (reader-is-at-eof) (princ " ... at end of file") (dotimes (i 20) (print-check) (princ #\space) (let ((val (read-sym))) (when (at-eof) (princ " [end of file]") (return)) (princ val) (when (equal "eof" val) (return))))) (terpri))) #|| (defun general-read-is-simple-schema (sch) (declare (type t sch) (values (or null t))) (or (atom sch) (and (consp sch) (every #'atom sch))) ) ||# (defun general-read-is-simple-schema (sch) (declare (ignore sch)) t) ;;; modify print to certain depth and length transliterating notations ;;; (defun general-read-display-schema (sch &optional (short nil)) (declare (type list sch) (values t)) (let ((limit (if short 10 most-positive-fixnum)) (count 0) (*print-level* (if short 2 nil))) (declare (type fixnum limit count)) (if (> (length sch) 1) (dolist (i (firstn sch 3)) (when (>= count limit) (princ " ...") (return)) (incf count) (print-check) (princ #\space) (prin1 i)) (dolist (i sch) (print-check) (princ #\space) (prin1 i))))) (defun general-read-print-schema-1 (s &optional (short nil)) (declare (type t s) (values t)) (if (atom s) (princ s) (let ((flag nil)) (declare (ignore flag)) (general-read-print-schema (car s) short)))) (defun general-read-print-schema (s &optional (short nil)) (declare (type t s) (values t)) (let ((limit (if short 10 most-positive-fixnum)) (count 0)) (declare (type fixnum limit count)) (if (atom s) (princ s) (let ((flag nil)) (dolist (i s) (when (>= count limit) (princ " ...") (return)) (incf count) (if (< *print-line-limit* (filecol *standard-output*)) (progn (print-next) (when *print-indent-contin* (princ " ") (setq flag t))) (if flag (princ " ") (setq flag t))) (if (atom i) (unless (eql control-d i) (prin1 i)) (if (eq ':+ (car i)) (dolist (e (cdr i)) (if (< *print-line-limit* (filecol *standard-output*)) (progn (print-next) (when *print-indent-contin* (princ " ") (setq flag t))) (if flag (princ " ") (setq flag t))) (prin1 e)) (prin1 i)))))))) (defun read-comment-line () (let ((ch (peek-char nil *standard-input* nil nil))) (unless ch (return-from read-comment-line " ")) (if (eq .reader-ch. 'return) (return-from read-comment-line (string #\linefeed)) (if (member ch '(#\linefeed #\page #\return #\newline)) (progn (read-char) (return-from read-comment-line (string #\linefeed))) (read-line))))) ;;; an ignored comment (value is "") ;;; has provision for long case: ** ( ) ;;; (defun general-read-commentlong () (declare (values simple-string)) (let (ch) (unless (eql '\( .reader-ch.) (loop (setq ch (read-char *standard-input* nil *lex-eof*)) (unless (or (eql #\Space ch) (eql #\Tab ch)) (return))) (setq .reader-ch. (if (eq ch *lex-eof*) *lex-eof* (let ((val (reader-get-syntax ch))) (if val val ch))))) (if (eq '\( .reader-ch.) (lex-read) (unless (or (eql #\Newline ch) (eql #\Return ch)) (read-line)) )) (setq .reader-ch. 'space) "" ) ;;;============================================================================= ;;; SPECIAL READERS ;;; readers specific to external representations of Chaos expressions. ;;;============================================================================= ;;; READ-TERM-FROM-STRING : string -> List(Token) ;;; ;;; (declaim (function read-term-from-string (string) list)) (declaim (inline read-term-from-string)) ; (eval-when (:execute :compile-toplevel :load-toplevel) ; (defparameter .term-delimiting-chars. ; '("[" "]" "{" "}" ";" "@" "%" "~" ))) (eval-when (:execute :compile-toplevel :load-toplevel) (defparameter .term-delimiting-chars. '("[" "]" "{" "}"))) (defun !set-term-delim-chars () (!set-single-reader .term-delimiting-chars.)) (defun read-term-from-string (string) (declare (type simple-string string)) (with-input-from-string (*standard-input* string) (let ((cur (!set-term-delim-chars))) (let ((res nil) (inp nil) (inv nil)) (loop (setq inp (lex-read)) (when #+:CCL-3 (equal *lex-eof* inp) #-:CCL-3 (eq *lex-eof* inp) (setq *reader-input* inv) (return)) (cond ((= 1 (length (the list inp))) (setq inv (car inp))) (t (setq inv *reader-void*))) (setq res (append res inp)) ) (!set-reader cur) (clear-input) (setq *reader-input* *reader-void*) res )))) (defun read-seq-of-term-from-string (string) (declare (type simple-string string) (values list)) (with-input-from-string (*standard-input* string) (let ((cur (!set-term-delim-chars))) (let ((res nil)) (block exit ;; read in one token. (if (eq *reader-input* *reader-void*) (setq *reader-input* (lex-read)) (when (equal "(" *reader-input*) (setq *reader-input* (lex-read-rest-of-list)))) (when (reader-is-at-eof) (return-from exit)) (when (atom *reader-input*) (setq *reader-input* (list *reader-input*))) (loop (setq res (append res *reader-input*)) (setq *reader-input* (lex-read)) (when (reader-is-at-eof) (return-from exit))) ) ;; restore read table. (!set-reader cur) (clear-input) (setq *reader-input* *reader-void*) res )))) ;;; READ-TERM-AT-TOP ;;; (defun read-term-at-top (&rest ignore) (declare (ignore ignore)) (let ((lines (read-lines))) (if (eq lines *lex-eof*) *lex-eof* (read-term-from-string lines)))) (defun read-seq-of-term-at-top (&rest ignore) (declare (ignore ignore)) (let ((lines (read-lines))) (if #+:MCL (equal lines *lex-eof*) #-:MCL (eq lines *lex-eof*) *lex-eof* (read-seq-of-term-from-string lines)))) ;;; READ-TERM ;;; (defun read-term (context) (declare (type list context) (values list)) (let ((cur (!set-term-delim-chars))) (let ((res nil) inp inv) (loop (setq inp (lex-read)) (when #-:ccl-3(eq *lex-eof* inp) #+:ccl-3(equal *lex-eof* inp) (return-from read-term *lex-eof*)) (cond ((= 1 (length (the list inp))) (setq inv (car (the list inp)))) (t (setq inv *reader-void*))) (when (lex-string-match inv (car context)) (setq *reader-input* inv) (return)) (setq res (append res inp)) ) (!set-reader cur) res ))) ;;; READ-SEQ-OF-TERM ;;; (defun read-seq-of-term (context) (declare (type list context) (values list)) (let ((cur (!set-term-delim-chars))) (let ((res nil)) ;; read in one token. (if (eq *reader-input* *reader-void*) (setq *reader-input* (lex-read)) (when (equal "(" *reader-input*) (setq *reader-input* (lex-read-rest-of-list)))) (when (at-eof-or-control-d) ; was reader-is-at-eof (return-from read-seq-of-term *lex-eof*)) (when (atom *reader-input*) (setq *reader-input* (list *reader-input*))) (loop (when (and (null (cdr *reader-input*)) (stringp (car *reader-input*)) (lex-string-match (car *reader-input*) (car context))) (setq *reader-input* (car *reader-input*)) (return)) (setq res (append res *reader-input*)) (setq *reader-input* (lex-read)) (when (at-eof-or-control-d) ; was reader-is-at-eof (return-from read-seq-of-term *lex-eof*)) ) ;; restore read table. (!set-reader cur) res ))) ;;; READ-ARGS ;;; (defun read-args (&rest context) (declare (ignore context)) (let ((*live-newline* t)) (let ((res nil) (inv nil) inp) (loop (setq inp (lex-read)) (when #-:ccl-3(eq *lex-eof* inp) #+:ccl-3(equal *lex-eof* inp) (return-from read-args *lex-eof*)) (cond ((= 1 (length (the list inp))) (setq inv (car (the list inp)))) (t (setq inv *reader-void*))) (when (and (consp inv) (eq (car inv) .String-token.)) (setq res (append res inp)) (setq *reader-input* *reader-void*) (return)) (when (lex-string-match inv 'return) (setq *reader-input* *reader-void*) (return)) (setq res (append res inp))) res))) ;;; READ-SEQ-OF-OPNAME ;;; ; (defparameter .op-name-delimiting-chars. ; '("[" "]" "{" "}" "_" ";" "@" "%" "~")) (defparameter .op-name-delimiting-chars. '("[" "]" "{" "}" "_")) (defun read-seq-of-opname (context) (declare (type list context) (values list)) (let ((cur (!set-single-reader .op-name-delimiting-chars.))) (let ((res nil)) (if (eq *reader-input* *reader-void*) (setq *reader-input* (lex-read)) (when (equal "(" *reader-input*) (setq *reader-input* (lex-read-rest-of-list)))) (when ; (reader-is-at-eof) (at-eof-or-control-d) (return-from read-seq-of-opname *lex-eof*)) (when (atom *reader-input*) (setq *reader-input* (list *reader-input*))) (loop (when (and (null (cdr *reader-input*)) (stringp (car *reader-input*)) (lex-string-match (car *reader-input*) (car context))) (setq *reader-input* (car *reader-input*)) (return)) (setq res (append res *reader-input*)) (setq *reader-input* (lex-read)) (when (at-eof-or-control-d) ; (reader-is-at-eof) (return-from read-seq-of-opname *lex-eof*)) ) (!set-reader cur) res ))) ;;; READ-OPNAME context ;;; (defun read-opname (context) (declare (type list context) (values list)) (let ((cur (!set-single-reader .op-name-delimiting-chars.))) (let ((res nil) inp inv) (loop (setq inp (lex-read)) (when (eq *lex-eof* inp) (return-from read-opname *lex-eof*)) (cond ((= 1 (length (the list inp))) (setq inv (car inp))) (t (setq inv *reader-void*))) (when (lex-string-match inv (car context)) (setq *reader-input* inv) (return)) (setq res (append res inp)) ) (!set-reader cur) res ))) (defun read-opname-at-top (&rest ignore) (declare (ignore ignore)) (let ((line (read-lines))) (if (eq line *lex-eof*) *lex-eof* (read-opname-from-string line)))) (defun read-seq-of-opname-at-top (&rest ignore) (declare (ignore ignore)) (let ((line (read-lines))) (if (eq line *lex-eof*) *lex-eof* (read-seq-of-opname-from-string line)))) (defun read-opname-from-string (string) (declare (type simple-string string)) (with-input-from-string (*standard-input* string) (let ((cur (!set-single-reader .op-name-delimiting-chars.))) (let ((res nil) (inp nil) (inv nil)) (loop (setq inp (lex-read)) (when (eq *lex-eof* inp) (setq *reader-input* inv) (return)) (cond ((= 1 (length (the list inp))) (setq inv (car inp))) (t (setq inv *reader-void*))) (setq res (append res inp)) ) (!set-reader cur) (clear-input) (setq *reader-input* *reader-void*) res )))) (defun read-seq-of-opname-from-string (string) (declare (type simple-string string) (values list)) (with-input-from-string (*standard-input* string) (let ((cur (!set-single-reader .op-name-delimiting-chars.))) (let ((res nil)) (block exit ;; read in one token. (if (eq *reader-input* *reader-void*) (setq *reader-input* (lex-read)) (when (equal "(" *reader-input*) (setq *reader-input* (lex-read-rest-of-list)))) (when (reader-is-at-eof) (return-from exit)) (when (atom *reader-input*) (setq *reader-input* (list *reader-input*))) (loop (setq res (append res *reader-input*)) (setq *reader-input* (lex-read)) (when (reader-is-at-eof) (return-from exit))) ) ;; restore read table. (!set-reader cur) (clear-input) (setq *reader-input* *reader-void*) res )))) ;;; READ-SORT ;;; (defun read-sort (c) (declare (ignore c)) (let ((old-syntax (reader-get-syntax #\!))) (unwind-protect (let ((inp nil)) (!set-syntax #\! nil) (setq inp (!read-sym)) (cond ((and (stringp inp) (eql #\. (char (the simple-string inp) (1- (length (the simple-string inp)))))) (loop (unless (eq 'space .reader-ch.) (return)) ;a bit ugly (setq .reader-ch. (reader-get-char *standard-input*))) (when (eq .reader-ch. *lex-eof*) (return-from read-sort *lex-eof*)) (if (equal '\( .reader-ch.) (let ((rest (lex-read))) (if (eq rest *lex-eof*) *lex-eof* (list* inp (lex-read)))) inp)) (t inp) )) (!set-syntax #\! old-syntax)))) ;;; READ-SORTS ;;; (defun read-sorts (context) (let ((res nil) (old-syntax (reader-get-syntax #\!))) (unwind-protect (progn (!set-syntax #\! nil) (loop (!read-in) (when (at-eof-or-control-d) (return-from read-sorts *lex-eof*)) (when (lex-string-match *reader-input* (car context)) (return (nreverse res))) (push (read-sort context) res))) (!set-syntax #\! old-syntax)))) ;;; READ-CHARS ;;; (defun read-chars (context) (let ((res nil)) (loop (!read-in) (when (at-eof-or-control-d) (return-from read-chars *lex-eof*)) (when (lex-string-match *reader-input* (car context)) (return-from read-chars (nreverse res))) (let ((c (!read-sym))) ;;(format t "~%- read-chars: sym=~s, res=~s" c res) (if (consp c) (push (car c) res) (push c res)))))) ;;; SPECIAL READERS NOT Spported by Chaos General Reader ;;; (defun read-opattr (c) (declare (type list c) (values list)) (!read-in) (when (at-eof-or-control-d) (return-from read-opattr *lex-eof*)) (if (lex-string-match *reader-input* #\[) ;; () ;; (progn (reader-suppress-ch c) nil))) ;;; (defun read-super-exp (c) (declare (type list c) (values list)) (let ((cur (!set-single-reader '(#\( #\))))) (prog1 (read-superexp c) (!set-reader cur)))) (defun read-superexp (c) (declare (type list c) (values list)) (let ((res nil)) (loop (!read-in) (when (at-eof-or-control-d) (general-read-eof-error)) (when (general-read-string-matches *reader-input* c) (return res)) (setq res (nconc res (read-superexpr-delimited)))) res)) (defun read-superexpr-delimited () (declare (values list)) (!read-in) (when (at-eof-or-control-d) (general-read-eof-error)) (let ((pr (assoc *reader-input* '(("(" ")")) :test #'general-read-string-matches))) (cond ((null pr) (prog1 (cons *reader-input* nil) (!read-discard))) (t (let ((sym *reader-input*)) (!read-discard) (let ((lst (read-superexp (cdr pr)))) (prog1 (cons sym (append lst (cons *reader-input* nil))) (!read-discard))))) ))) ;;; ;;; Module Expression Reader ;;; ;;; *modexp-parse-input* -- binds module expression input (list of tokens). ;;; (defvar *modexp-parse-input* 'undef) ;;; MODEXP-SKIP : {*modexp-parse-input*} -> {*modexp-parse-input*} ;;; skip input one. ;;; (defmacro modexp-skip () `(setq *modexp-parse-input* (cdr *modexp-parse-input*))) ;;;************ ;;; Some utils__________________________________________________________________ ;;;************ ;;; SCAN-PRENTHESIZED-UNIT : tokens -> LIST[tokens], signal 'unbalanced ;;; ;;; (scan-parenthesized-unit '( "(" "aho" "(" "baka" "tako" ")" "manuke" ")" "baba")) ;;; ==> ("aho" "(" "baka" "tako" ")" "manuke") ;;; ("baba") ;;; (scan-parenthesized-unit '( "(" "aho" "(" "baka" "tako" ")" "manuke" "baba")) ;;; ==> UNBALANCED ;;; ("(" "aho" "(" "baka" "tako" ")" "manuke" "baba") ;;; (defun scan-parenthesized-unit (tokens) (declare (type list tokens) (values (or symbol list) list)) (if (equal "(" (car tokens)) (let ((count 1) (lst (cdr tokens)) (res nil) tok) (declare (type fixnum count)) (loop (when (null lst) (return (values 'unbalanced tokens))) (setf tok (car lst) lst (cdr lst)) (when (and (= 1 count) (equal ")" tok)) (return (values (nreverse res) lst))) (setf res (cons tok res)) (if (equal "(" tok) (incf count) (if (equal ")" tok) (decf count))) )) (values (list (car tokens)) (cdr tokens)))) (defun group-paren-units (tokens) (declare (type list tokens) (values list)) (let ((res nil) (lst tokens) unit) (loop (multiple-value-setq (unit lst) (scan-parenthesized-unit lst)) (when (eq 'unbalanced unit) (return tokens)) (setq res (cons unit res)) (when (null lst) (return (nreverse res))) ))) (defun check-enclosing-parens (tokens) (declare (type t tokens) (values (or null t))) (and (consp tokens) (equal "(" (car tokens)) (multiple-value-bind (par rst) (scan-parenthesized-unit tokens) (declare (ignore par)) (null rst)))) ;;; READ-MODULE-EXP (defun read-module-exp (context) (let ((cur (!set-single-reader '(#\[ #\])))) (prog1 (read-modexp context) (!set-reader cur)))) ;;; read term with balanced: (/) [/] terminated by c context ;;; (defun read-modexp (c) (let ((cur (!set-single-reader '("_")))) (let ((res nil)) (loop (!read-in) (when (at-eof-or-control-d) (general-read-eof-error)) (when (general-read-string-matches *reader-input* c) (return res)) (setq res (nconc res (read-modexp-delimited)))) (!set-reader cur) res ))) ;;; also used for CafeOBJ view declaration. (defun read-modexp-delimited () (declare (values list)) (!read-in) ;; (when (at-eof-or-control-d) (general-read-eof-error)) (let ((pr (assoc *reader-input* '(("view" "}") ("[" "]") ("(" ")") ) :test #'general-read-string-matches))) ;; (format t "~&*reader-input* ~s" *reader-input*) (cond ((null pr) (prog1 (cons *reader-input* nil) (!read-discard))) (t (let ((sym *reader-input*)) (!read-discard) (let ((lst (read-modexp (cdr pr)))) (prog1 (cons sym (append lst (cons *reader-input* nil))) (!read-discard))))) ))) ;;; READ-MODEXP-FROM-STRING (defun read-modexp-from-string (string) (declare (type simple-string string) (values list)) (let ((*live-newline* nil)) (with-input-from-string (*standard-input* string) (let ((cur (!set-single-reader '(#\[ #\] #\_ #\{ #\}))) (res nil)) (loop (!read-in) (when (at-eof-or-control-d) (return)) (setq res (nconc res (read-modexp-delimited)))) (!set-reader cur) (clear-input) (setq *reader-input* *reader-void*) res)))) #|| (defun module-print-top-level-choices () (let ((flag nil)) (dolist (i '( "module" "mod" "view" "reduce" "red" "make" "test" "input" "in" "-->" "**>" "--" "**" "parse" "match" "ev" "lisp" "show" "sh" "set" "do" "select" "open" "close" "eof" "let" "choose" "quit" "q" "start" "apply" "cd" "ls" "pwd" )) (if (< *print-line-limit* (filecol *standard-output*)) (progn (terpri) (when *print-indent-contin* (princ " ") (setq flag t))) (if flag (princ " ") (setq flag t))) (princ i)))) ||# ;;; (defvar *interactive-session* nil) (defun set-interactive () (setf *interactive-session* t)) (defun off-interactive () (setf *interactive-session* nil)) (defun wait-until-non-white (stream) (declare (type stream) (values t)) (if (at-top-level) (loop (when (not (or (eq 'space .reader-ch.) (eq 'return .reader-ch.))) (setf *sub-prompt* t) (return)) (if (eq 'return .reader-ch.) (progn (when *sub-prompt* (princ "> ") (force-output)) (reader-get-char stream) (when (eq #\? .reader-ch.) (let ((*chaos-verbose* t)) (general-read-show-context) (clear-input) (force-output)) (setf .reader-ch. 'space))) (reader-get-char stream))) (loop (when (not (or (eq 'space .reader-ch.) (eq 'return .reader-ch.))) (return)) (reader-get-char stream)))) ;;; EOF cafeobj-1.5.4/comlib/string.lisp0000644000000000000000000003531412605345045015266 0ustar rootroot;;;-*- Mode:Lisp; Syntax:Common-Lisp; Package:CHAOS -*- ;;; ;;; Copyright (c) 2000-2015, Toshimi Sawada. All rights reserved. ;;; ;;; Redistribution and use in source and binary forms, with or without ;;; modification, are permitted provided that the following conditions ;;; are met: ;;; ;;; * Redistributions of source code must retain the above copyright ;;; notice, this list of conditions and the following disclaimer. ;;; ;;; * Redistributions in binary form must reproduce the above ;;; copyright notice, this list of conditions and the following ;;; disclaimer in the documentation and/or other materials ;;; provided with the distribution. ;;; ;;; THIS SOFTWARE IS PROVIDED BY THE AUTHOR 'AS IS' AND ANY EXPRESSED ;;; OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED ;;; WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ;;; ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY ;;; DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL ;;; DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE ;;; GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS ;;; INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, ;;; WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING ;;; NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS ;;; SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. ;;; (in-package :CHAOS) #|============================================================================== System: Chaos Module: comlib File: string.lisp ==============================================================================|# #-:chaos-debug (declaim (optimize (speed 3) (safety 0) #-GCL (debug 0))) #+:chaos-debug (declaim (optimize (speed 1) (safety 3) #-GCL (debug 3))) ;;; A collection of string utilities. ;;; ******* ;;; Strings_____________________________________________________________________ ;;; ******* ;;; string-search-car ;;; Returns the part of the string before the first of the delimiters in ;;; CHARACTER-BAG and the delimiter. ;;; CHARACTER-BAG can be general sequence. ;;; (defun string-search-car (character-bag string &aux (delimiter nil)) (declare (type simple-string string) (type list character-bag) (values simple-string (or null character))) ;; (let ((delimiter-position (position-if #'(lambda (character) (declare (type character character)) (when (find character character-bag) (setq delimiter character))) string))) (values (subseq string 0 delimiter-position) delimiter))) ;;; string-search-cdr ;;; Returns the part of the string after the first of the delimiters in ;;; CHARACTER-BAG, if any, and the delimiter. If none of the delimiters ;;; are found, returns NIL and NIL. (defun string-search-cdr (character-bag string &aux (delimiter nil)) (declare (type simple-string string) (type list character-bag) (values (or null simple-string) (or null character))) (let ((delimiter-position (position-if #'(lambda (character) (when (find character character-bag) (setq delimiter character))) string))) (declare (type (or null fixnum) delimiter-position)) (if delimiter-position (values (subseq string (1+ (the (integer 0 1024) delimiter-position))) delimiter) ;; Maybe this should be "" instead of NIL? (values nil delimiter)))) ;;; parse-with-delimiter : String -> List[String] ;;; Breaks LINE into a list of strings, using DELIM as a breaking point. (defun parse-with-delimiter (line &optional (delim #\newline)) (declare (type simple-string line) (values list)) ;; what about #\return instead of #\newline? (let ((pos (position delim line))) (declare (type (or null fixnum) pos)) (cond (pos (cons (subseq line 0 pos) (parse-with-delimiter (subseq line (1+ pos)) delim))) (t (list line))))) (defun parse-with-delimiter2 (line &optional (delim #\newline)) (declare (type simple-string line) (values list)) ;; what about #\return instead of #\newline? (let ((pos (position delim line))) (declare (type (or null fixnum) pos)) (cond (pos (cons (subseq line 0 pos) (cons (string delim) (parse-with-delimiter2 (subseq line (1+ pos)) delim)))) (t (list line))))) ;;; parse-with-delimiters ;;; Breaks LINE into a list of strings, using DELIMITERS as a breaking point. (defun parse-with-delimiters (line &optional (delimiters '(#\newline))) (declare (type simple-string line) (type list delimiters) (values list)) ;; what about #\return instead of #\newline? (let ((pos (position-if #'(lambda (character) (find character delimiters)) line))) (declare (type (or null fixnum) pos)) (cond (pos (cons (subseq line 0 pos) (parse-with-delimiters (subseq line (1+ pos)) delimiters))) (t (list line))))) ;;; parallel-substitute ;;; Makes substitutions for characters in STRING according to the ALIST. ;;; In effect, PARALLEL-SUBSTITUTE can perform several SUBSTITUTE ;;; operations simultaneously. (defun parallel-substitute (alist string) (declare (type simple-string string) (values simple-string)) ;; This function should be generalized to arbitrary sequences and ;; have an arglist (alist sequence &key from-end (test #'eql) test-not ;; (start 0) (count most-positive-fixnum) end key). (if alist (let* ((length (length string)) (result (make-string length))) (declare (simple-string result)) (dotimes-fixnum (i length) (let ((old-char (schar string i))) (setf (schar result i) (or (second (assoc old-char alist :test #'char=)) old-char)))) result) string)) ;;; parse-with-string-delimiter ;;; Returns up to three values: the string up to the delimiter DELIM ;;; in STRING (or NIL if the field is empty), the position of the beginning ;;; of the rest of the string after the delimiter, and a value which, if ;;; non-NIL (:delim-not-found), specifies that the delimiter was not found. (defun parse-with-string-delimiter (delim string &key (start 0) end) (declare (type simple-string string) (type fixnum start) (type (or null fixnum) end) (type (or simple-string character) delim) (values (or null simple-string) (or null fixnum) symbol)) ;; Conceivably, if DELIM is a string consisting of a single character, ;; we could do this more efficiently using POSITION instead of SEARCH. ;; However, any good implementation of SEARCH should optimize for that ;; case, so nothing to worry about. (setq end (or end (length string))) (let ((delim-pos (search delim string :start2 start :end2 end)) (dlength (length delim))) (declare (type fixnum dlength)) (cond ((null delim-pos) ;; No delimiter was found. Return the rest of the string, ;; the end of the string, and :delim-not-found. (values (subseq string start end) end :delim-not-found)) ((= delim-pos start) ;; The field was empty, so return nil and skip over the delimiter. (values nil (+ start dlength) nil)) ;; The following clause is subsumed by the last cond clause, ;; and hence should probably be eliminated. (t ;; The delimiter is in the middle of the string. Return the ;; field and skip over the delimiter. (values (subseq string start delim-pos) (+ delim-pos dlength) nil))))) ;;; parse-with-string-delimiter* ;;; Breaks STRING into a list of strings, each of which was separated ;;; from the previous by DELIM. If INCLUDE-LAST is nil (the default), ;;; will not include the last string if it wasn't followed by DELIM ;;; (i.e., \"foo,bar,\" vs \"foo,bar\"). Otherwise includes it even if ;;; not terminated by DELIM. Also returns the final position in the string. (defun parse-with-string-delimiter* (delim string &key (start 0) end include-last) (declare (type simple-string string) (type fixnum start)) (setq end (or end (length string))) (let (result) (loop (if (< start (the fixnum end)) (multiple-value-bind (component new-start delim-not-found) (parse-with-string-delimiter delim string :start start :end end) (when delim-not-found (when include-last (setq start new-start) (push component result)) (return)) (setq start new-start) (push component result)) (return))) (values (nreverse result) start))) ;;; split-string ;;; Splits the string into substrings at spaces. ;;; (defun split-string (string &key (item #\space) (test #'char=)) (declare (type simple-string string) (type character item) (type function test) (values list)) (let ((len (length string)) (index 0) (result nil)) (declare (type fixnum index len)) (dotimes (i len (progn (unless (= index len) (push (subseq string index) result)) (reverse result))) (declare (type fixnum i)) (when (funcall test (char string i) item) (unless (= index i);; two spaces in a row (push (subseq string index i) result)) (setf index (1+ i)))))) ;;; extract-strings ;;; Breaks STRING into a list of strings, using DELIMITERS as a ;;; breaking point. (defun extract-strings (string &optional (delimiters '(#\newline #\space #\return #\tab))) (declare (type simple-string string) (type list delimiters) (values list)) (let* ((begin (position-if-not #'(lambda (character) (find character delimiters)) string)) (end (when begin (position-if #'(lambda (character) (find character delimiters)) string :start begin)))) (cond ((and begin end) (cons (subseq string begin end) (extract-strings (subseq string (1+ end)) delimiters))) (begin (list (subseq string begin))) (t nil)))) ;;; format-justified-string ;;; (defun format-justified-string (prompt contents &optional (width 80) (stream *standard-output*)) (declare (type simple-string prompt contents) (type fixnum width) (type stream stream)) (let ((prompt-length (+ 2 (the fixnum (length prompt))))) (declare (type fixnum prompt-length)) (cond ((< (+ prompt-length (the fixnum (length contents))) width) (format stream "~%~A- ~A" prompt contents)) (t (format stream "~%~A-" prompt) (do* ((cursor prompt-length) (contents (split-string contents) (cdr contents)) (content (car contents) (car contents)) (content-length (1+ (the fixnum (length content))) (1+ (the fixnum (length content))))) ((null contents)) (declare (type fixnum content-length)) (cond ((< (+ cursor content-length) width) (incf cursor content-length) (format stream " ~A" content)) (t (setf cursor (+ prompt-length content-length)) (format stream "~%~A ~A" prompt content))))))) (finish-output stream)) ;;; number-to-string ;;; (defun number-to-string (number &optional (base 10)) (declare (type fixnum number) (type fixnum base)) (cond ((zerop number) "0") ((eql number 1) "1") (t (do* ((len (1+ (truncate (log number base)))) (res (make-string len)) (i (1- len) (1- i)) (q number) ; quotient (r 0)) ; residue ((zerop q) ; nothing left res) (declare (simple-string res) (fixnum len i r)) (multiple-value-setq (q r) (truncate q base)) (setf (schar res i) (schar "0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZ" r)))))) ;;; null-string ;;; Returns T if STRING is the null string \"\" between START and END. (defun null-string (string &optional (start 0) end) (declare (type simple-string string)) (unless end (setf end (length string))) (string-equal string "" :start1 start :end1 end)) ;;; read-delimited-string ;;; Read a stream until one of the delimiters (a list of characters) is found. ;;; Returns the characters so read until the delimiter as a string, plus the ;;; additional values: EOF-VALUE, which is as passed if eof was reached, and ;;; the delimiter that caused termination of the string. If EOF-ERROR-P is ;;; non-nil (the default), then an EOF causes an error to be signalled instead ;;; of returning EOF-VALUE. ;; (declaim (function read-delimited-string (list stream atom t) ;; (values string t character))) (defun read-delimited-string (delimiters &optional (stream *standard-input*) (eof-error-p t) eof-value) (declare (type list delimiters) (type stream stream)) (let (char-list) ;; (declare (dynamic-extent char-list)) (do ((peeked-char (peek-char nil stream eof-error-p :eof) (peek-char nil stream eof-error-p :eof))) ((or (member peeked-char delimiters) (eq peeked-char :eof)) (values (coerce (nreverse char-list) 'string) (if (eq peeked-char :eof) eof-value) peeked-char)) (push (read-char stream t) ;; it should be good, else peek-char would have gotten the error. ;; so go for it. char-list)))) ;;; numeric-char-p ;;; (defmacro numeric-char-p (char) `(let ((cc (char-code ,char))) (and (>= cc (char-code #\0)) (<= cc (char-code #\9))))) ;;; EOF cafeobj-1.5.4/comlib/tree-display.lisp0000644000000000000000000004575612605345045016375 0ustar rootroot;;;-*- Mode:LISP; Package:CHAOS; Base:10; Syntax:Common-lisp -*- ;;; ;;; Copyright (c) 2000-2015, Toshimi Sawada. All rights reserved. ;;; ;;; Redistribution and use in source and binary forms, with or without ;;; modification, are permitted provided that the following conditions ;;; are met: ;;; ;;; * Redistributions of source code must retain the above copyright ;;; notice, this list of conditions and the following disclaimer. ;;; ;;; * Redistributions in binary form must reproduce the above ;;; copyright notice, this list of conditions and the following ;;; disclaimer in the documentation and/or other materials ;;; provided with the distribution. ;;; ;;; THIS SOFTWARE IS PROVIDED BY THE AUTHOR 'AS IS' AND ANY EXPRESSED ;;; OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED ;;; WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ;;; ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY ;;; DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL ;;; DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE ;;; GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS ;;; INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, ;;; WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING ;;; NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS ;;; SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. ;;; (in-package :chaos) #|============================================================================== System: CHAOS Module: comlib File: tree-display.lisp ==============================================================================|# #-:chaos-debug (declaim (optimize (speed 3) (safety 0) #-GCL (debug 0))) #+:chaos-debug (declaim (optimize (speed 1) (safety 3) #-GCL (debug 3))) ;;;----------------------------------------------------------------------------- ;;; customisable parameters ;;;----------------------------------------------------------------------------- ;;; how many space characters between trees (defparameter tree-spacing 2) ;;; print tree with leaves at bottom? (defparameter leaves-at-bottom? nil) ;;; USERS MUST BIND THESE FUNCTIONS ;;; which define what a tree is (leaf & internal node) and ;;; how to get its components. ;;; (declaim (special leaf? leaf-name leaf-info int-node-name int-node-children)) (defvar leaf? nil) (defvar leaf-name nil) (defvar leaf-info nil) (defvar int-node-name nil) (defvar int-node-children nil) (defun make-augm-leaf (width root name info) (declare (type t width root name info)) (list 'leaf width root name info)) (defun make-augm-pad (width) (declare (type t width)) (list 'pad width)) (defun make-augm-int-node (width root name lpad rpad children) (declare (type t width root name lpad rpad children)) (list nil width root name lpad rpad children)) (defun augm-tree-int-node? (x) (declare (type list x) (values (or null t))) (null (car x))) (defun augm-tree-pad? (x) (declare (type list x)) (eq (car x) 'pad)) (defun augm-tree-width (x) (declare (type list x) (values fixnum)) (nth 1 x)) (defun augm-tree-root (x) (declare (type list x) (values t)) (nth 2 x)) (defun augm-tree-name (x) (declare (type list x)) (nth 3 x)) (defun augm-leaf-info (x) (declare (type list x)) (nth 4 x)) (defun augm-int-node-lpad (x) (declare (type list x)) (nth 4 x)) (defun augm-int-node-rpad (x) (declare (type list x)) (nth 5 x)) (defun augm-int-node-children (x) (declare (type list x)) (nth 6 x)) (defun pad (width l) (declare (type fixnum width) (type list l) (values list)) (if (> width 0) (cons (make-augm-pad width) l) l)) (defun field-width (x) (declare (type t x) (values fixnum)) " return number of chars in the written repr of x" (labels ((l-length (l w) (declare (type list l) (type fixnum w) (values fixnum)) (cond ((null l) w) (t (l-length (cdr l) (+ w (field-width (car l)) 1))) )) #|| not used now (s-length (i w) (if (>= i 0) (let ((c (elt x i))) (s-length (- i 1) (+ w (case c ((#\: #\") 2) (otherwise 1))))) w)) ||# ) ;; (typecase x (symbol (length (symbol-name (the symbol x)))) (character (case x ((#\space) 7) ((#\newline) 9) (otherwise 3))) (number (length (format nil "~S" x))) (list (+ (l-length (cdr x) (+ (field-width (car x)) 2)) 1)) (string (length (the simple-string x)) ;;(s-length (- (length x) 1) 2) ) (t 0)))) (defun augment-tree (tree) (declare (type list tree)) (if (funcall leaf? tree) (let* ((name (funcall leaf-name tree)) (info (funcall leaf-info tree)) (name-width (field-width name)) (info-width (field-width info)) (tree-width (max name-width info-width))) (declare (type fixnum name-width info-width tree-width)) (make-augm-leaf tree-width (truncate tree-width 2) name info)) (let* ((children (mapcar #'augment-tree (funcall int-node-children tree))) (name (funcall int-node-name tree)) (name-width (field-width name)) (name-left (truncate name-width 2)) (name-right (- name-width name-left))) (declare (type fixnum name-width name-left name-right) (type list children)) (if (null children) (make-augm-int-node name-width name-left name 0 0 '()) (let* ((first-child (car children)) (last-child (nth (- (length children) 1) children)) (width (+ (* (- (the fixnum (length (the list children))) 1) tree-spacing) (the fixnum (apply #'+ (mapcar #'augm-tree-width children))))) (left (truncate (+ (- width (the fixnum (augm-tree-width last-child))) (+ (the fixnum (augm-tree-root first-child)) (the fixnum (augm-tree-root last-child)))) 2.0)) (right (- width left)) (max-left (max name-left left)) (max-right (max name-right right))) (declare (type fixnum width left right max-left max-right)) ;; (make-augm-int-node (+ max-left max-right) max-left name (- max-left left) (- max-right right) children)))))) ;;; ;;; (declaim (type hash-table _dup-hash_) (type fixnum _ref-num-counter_) (type list _dup-infos_)) (defvar _dup-hash_ (make-hash-table :test #'equal)) (defvar _ref-num-counter_ -1) (defvar _dup-infos_ nil) (defun augment-tree-as-graph (tree) (clrhash _dup-hash_) (setq _dup-infos_ nil) (setq _ref-num-counter_ -1) (traverse-tree-checking-dups tree) (augment-tree-as-graph-aux tree)) (defstruct grph-info (visited 0 :type fixnum) name ref-name) (defstruct (grph-int-node-info (:include grph-info)) ) (defstruct (grph-leaf-info (:include grph-info)) info ) (defun traverse-tree-checking-dups (tree) (let ((info (gethash tree _dup-hash_))) (cond (info ; duplicates (incf (grph-info-visited info)) (when (= 1 (grph-info-visited info)) ;; this is the second time (setf (grph-info-ref-name info) (format nil "#~d" (incf _ref-num-counter_))) )) (t ; the first time (cond ((funcall leaf? tree) ;; leaf tree (let ((name (funcall leaf-name tree)) (info (funcall leaf-info tree))) (let ((leaf-info (make-grph-leaf-info :name name :info info))) (setf (gethash tree _dup-hash_) leaf-info)))) (t ;; internal node (let ((name (funcall int-node-name tree))) (let ((int-info (make-grph-int-node-info :name name))) (setf (gethash tree _dup-hash_) int-info)) (mapc #'traverse-tree-checking-dups (funcall int-node-children tree))))))))) (defun augment-tree-as-graph-aux (tree) (let* ((info (gethash tree _dup-hash_)) (ref-num (decf (grph-info-visited info))) (ref-name (grph-info-ref-name info)) (name (cond ((< ref-num 0) (if ref-name (format nil "~a=~a" ref-name (grph-info-name info)) (grph-info-name info))) (t ref-name)))) (declare (type fixnum ref-num)) (cond ((grph-leaf-info-p info) ; leaf (let* ((leaf-info (grph-leaf-info-info info)) (name-width (field-width name)) (info-width (field-width leaf-info)) (tree-width (max name-width info-width))) (declare (type fixnum name-width info-width tree-width)) (make-augm-leaf tree-width (truncate tree-width 2) name leaf-info))) (t ; int node (let* ((children (if (and (>= ref-num 0) ref-name) nil (mapcar #'augment-tree-as-graph-aux (funcall int-node-children tree)))) (name-width (field-width name)) (name-left (truncate name-width 2)) (name-right (- name-width name-left))) (declare (type list children) (type fixnum name-width name-left name-right)) (if (null children) ;; (make-augm-int-node name-width name-left name 0 0 '()) (make-augm-leaf name-width (truncate name-width 2) name nil) (let* ((first-child (car children)) (last-child (nth (- (the fixnum (length children)) 1) children)) (width (+ (* (- (the fixnum (length children)) 1) tree-spacing) (the fixnum (apply #'+ (mapcar #'augm-tree-width children))))) (left (truncate (+ (- width (the fixnum (augm-tree-width last-child))) (+ (the fixnum (augm-tree-root first-child)) (the fixnum (augm-tree-root last-child)))) 2.0)) (right (- width left)) (max-left (max name-left left)) (max-right (max name-right right))) (declare (type fixnum width left right max-left max-right)) (make-augm-int-node (+ max-left max-right) max-left name (- max-left left) (- max-right right) children)))))))) (defun any-int-nodes? (trees) (if (null trees) nil (or (augm-tree-int-node? (car trees)) (any-int-nodes? (cdr trees))))) (defun all-done? (trees) (if (null trees) t (and (augm-tree-pad? (car trees)) (all-done? (cdr trees))))) (defun print-seq (c n stream) (declare (type fixnum n) (type (or null t) c) (type stream stream)) (when n (dotimes (x n) (princ c stream)))) (defun print-loop1 (l delay-leaves? stream) (declare (type list l) (type (or null t) delay-leaves?) (type stream stream)) (when (consp l) (let* ((tree (car l)) (tree-width (augm-tree-width tree))) (declare (type fixnum tree-width)) (if (augm-tree-pad? tree) (progn (print-seq #\space tree-width stream) (print-loop1 (cdr l) delay-leaves? stream)) (let* ((root (augm-tree-root tree)) (name (augm-tree-name tree)) (name-width (field-width name)) (name-left (truncate name-width 2)) (name-right (- name-width name-left))) (declare (type fixnum root name-width name-left name-right)) (if (or (not delay-leaves?) (augm-tree-int-node? tree)) (progn (print-seq #\space (- root name-left) stream) (princ name stream) (print-seq #\space (- tree-width root name-right) stream) (print-loop1 (cdr l) delay-leaves? stream)) (progn (print-seq #\space root stream) (princ #\| stream) (print-seq #\space (- tree-width root 1) stream) (print-loop1 (cdr l) delay-leaves? stream)))))))) (defun print-loop2 (l new-trees delay-leaves? stream) (if (consp l) (let* ((tree (car l)) (tree-width (augm-tree-width tree))) (declare (type fixnum tree-width)) (if (augm-tree-pad? tree) (progn (print-seq #\space tree-width stream) (print-loop2 (cdr l) (append new-trees (list tree)) delay-leaves? stream)) (let* ((root (augm-tree-root tree)) (name (augm-tree-name tree)) (name-width (field-width name)) (name-left (truncate name-width 2)) (name-right (- name-width name-left))) (declare (type fixnum root name-width name-left name-right)) (if (augm-tree-int-node? tree) (let ((children (augm-int-node-children tree))) (declare (type list children)) (if (null children) (progn (print-seq #\space (- root name-left) stream) (princ name stream) (print-seq #\space (- tree-width root name-right) stream) (print-loop2 (cdr l) (append new-trees (pad tree-width '())) delay-leaves? stream)) (let* ((child1 (car children)) (root1 (augm-tree-root child1)) (width1 (augm-tree-width child1)) (lpad (augm-int-node-lpad tree)) (rpad (augm-int-node-rpad tree))) (declare (type fixnum root1 width1)) (labels ((print-loop3 (l1 l2 right) (if (consp l1) (let* ((child (car l1)) (root (augm-tree-root child)) (width (augm-tree-width child))) (print-seq #\space (+ root tree-spacing right) stream) (if (cdr l1) (princ #\| stream) (princ #\\ stream) ;;(princ "\\ " stream) ) (print-loop3 (cdr l1) (cons child (pad tree-spacing l2)) (- width (+ root 1)))) (progn (print-seq #\space (+ right rpad) stream) (print-loop2 (cdr l) (append new-trees (reverse (pad rpad l2))) delay-leaves? stream))))) (print-seq #\space (+ lpad root1) stream) (if (cdr children) (princ #\/ stream) (princ #\|)) (print-loop3 (cdr children) (cons child1 (pad lpad '())) (- width1 (+ root1 1)) ))))) (if delay-leaves? (progn (print-seq #\space root stream) (princ #\| stream) (print-seq #\space (- tree-width root 1) stream) (print-loop2 (cdr l) (append new-trees (list tree)) delay-leaves? stream)) (let* ((info (augm-leaf-info tree)) (info-width (field-width info)) (info-left (truncate info-width 2)) (info-right (- info-width info-left))) (print-seq #\space (- root info-left) stream) (print-seq #\space info-width stream);(princ info stream) (print-seq #\space (- tree-width root info-right) stream) (print-loop2 (cdr l) (append new-trees (pad tree-width '())) delay-leaves? stream))))))) (when new-trees (princ " " stream) (print-next nil *print-indent* stream) (print-trees new-trees stream)))) (defun print-trees (trees stream) (if (not (all-done? trees)) (let ((delay-leaves? (and leaves-at-bottom? (any-int-nodes? trees)))) (print-loop1 trees delay-leaves? stream) ;; (terpri stream) (print-next nil *print-indent* stream) (print-loop2 trees '() delay-leaves? stream)))) #|| (defun show-tree (inp &optional (show-sort nil) (stream *standard-output*)) (let ((tree (if (term? inp) inp (setf $$term (simple-parse inp *current-module* *universal-sort*))))) (tree-display tree show-sort stream))) ||# ;;; EOF cafeobj-1.5.4/elisp/0000755000000000000000000000000012605345045012730 5ustar rootrootcafeobj-1.5.4/elisp/cafeobj-mode-new.el0000644000000000000000000017441312144566661016375 0ustar rootroot;From: Razvan Diaconescu ;Date: Wed, 24 Sep 97 04:14:00 GMT ;Message-Id: <9709240414.AA09049@is27e0s07.jaist.ac.jp> ;To: dlucanu@infoiasi.ro, sawada@sra.co.jp ;Subject: cafeobj-mode again ;Content-Type: text ;Content-Length: 63479 ;Dear Toshimi and Dorel, ;If you are fed up it my messages on the cafeobj-mode topic please ;ignore this. ;I just fixed a couple of small bugs in the kb7 part of the ;cfeobj-mode. Now, if you move between fields with TAB you get ;automatic pluralisation for var/op/bop (when necessary, of course) and ;a warning message in the minibuffer if for an operation the number of ;underscores doesnt agree with the number of sorts in the arity. ;Remember also that my menu works only with FSF version of emacs. ;Best regards, ;Razvan ;-------------------------cut here----------- ;;; cafeobj-mode.el --- CafeOBJ code editing and Interaction with ;;; CafeOBJ interpreter. ;;; Copyleft: verbatim copies of this file may be freely redistributed. ;;; This file is distributed `as is', without warranties of any kind. ;;; ;;; Toshimi Sawada ;;; ;;; $Id: cafeobj-mode-new.el,v 1.1 2003-12-13 12:43:03 sawada Exp $ ;;; ++ KB7 style commands for CafeOBJ constructs by Razvan Diaconescu ;;; Keywords: cafeobj chaos languages processes tools ;;; ;;; BRIEF DESCRIPTION: ;;; CafeOBJ-mode supports formatting CafeOBJ source codes and sending of ;;; declarations/regions/files to a CafeOBJ interpreter. An interpreter ;;; (see variable `cafeobj-default-application') will be started if you try ;;; to send some code and none is running. You can use the process-buffer ;;; (named after the application you chose) as if it were an ;;; interactive shell. See the documentation for `comint.el' for ;;; details. ;;; *NOTE* : This mode supports Chaos with CafeOBJ syntax only. ;;; ====== DESCRIPTION ========================================================= ;;; ;;; USAGE: ;;; The following statements, placed in your .emacs file or ;;; site-init.el, will cause this file to be autoloaded, and ;;; cafeobj-mode invoked, when visiting .mod files (assuming this file is ;;; in your load-path): ;;; ;;; (autoload 'cafeobj-mode "cafeobj-mode" "CafeOBJ mode." t) ;;; (setq auto-mode-alist ;;; (cons '("\\.mod$" . cafeobj-mode) auto-mode-alist)) ;;; ;;; and, also the following is handy for running CafeOBJ interpreter: ;;; ;;; (autoload 'cafeobj "cafeobj-mode" "Run CafeOBJ interpreter." t) ;;; ;;; If you want font-lock support for CafeOBJ source code (a.k.a. syntax ;;; coloring, highlighting), add this to your .emacs file: ;;; (cond ((string-match "XEmacs\\Lucid" emacs-version) ;;; ;; XEmacs ;;; (add-hook 'cafeobj-mode-hook 'turn-on-font-lock)) ;;; (t ;; FSF19.XX, assumes the version better than 19.28.. ;;; (add-hook 'cafeobj-mode-hook (function ;;; (lambda () (font-lock-mode 1)))))) ;;; ;;; Notes on FONT-LOCK: ;;; You better be sure you're version of Emacs supports ;;; font-lock-mode! As of this writing, the latest Emacs and XEmacs ;;; 19's do. This file is known to be run on Emacs19.28(Mule 2.3), and ;;; XEmacs(20.02). ;;; ;;; KEY BINDINGS: ;;; To see all the keybindings for folding mode, look at `cafeobj-setup-keymap' ;;; or start `cafeobj-mode' and type `\C-h m'. ;;; The keybindings are defined with prefixed by 'cafeobj-prefix-key', ;;; the default for `cafeobj-prefix-key' is `\C-c', which is the conventional ;;; prefix for major-mode commands. ;;; You can customise the keybindings either by setting `choas-prefix-key' ;;; or by putting the following in your .emacs ;;; (setq cafeobj-mode-map (make-sparse-keymap)) ;;; and ;;; (define-key cafeobj-mode-map ) ;;; for all the functions you need. ;;; ;;; ABBRIVE-MODE: ;;; CafeOBJ mode provides a mode-specific abbrev table 'cafeobj-mode-abbrev-table', ;;; and there defined some abbriviations already. ;;; You can use abbrev by `M-x abbrev-mode' or putting the following in your ;;; .emacs ;;; (add-hook 'cafeobj-mode-hook (function (lambda () (abbrev-mode 1)))) ;;; ;;; The predefined abbribiations are minimum, these are derived from my own ;;; experience. I want these definitions to be useful for most of the users, ;;; but ofcourse, you may feel it does not match to your taste. In that case, ;;; add your own definitions for preventing my deinitions. ;;; To edit the entire table, `M-x edit-abbrevs' and `M-x write-abbrev-file' ;;; are handy. Here is an example of adding some extra abbreviations: ;;; I want the following abbreviations: ;;; "mod" -> "module" ;;; "mod*" -> "module*" ;;; "mod!" -> "module!" ;;; "obj" -> "module!" ;;; "th" -> "module*" ;;; For this, we can use `M-x edit-abbrevs' and adds the above definitions in ;;; cafeobj-abbrev-table like this: ;;; ;;; (cafeobj-mode-abbrev-table) ;;; ;;; "mod" 0 "module" ;;; "m*" 0 "module* " ;;; "m!" 0 "module! " ;;; "obj" 0 "module!" ;;; "th" 0 "module*" ;;; "comm" 0 "commutative" ;;; : ;;; : ;;; After editting, type `C-c C-c'(M-x edit-abbrevs-redefine) to install ;;; abbrev definitions as specified. ;;; Then use `M-x write-abbrev-file' specifying ~/.abbrev_deffs to ;;; the target file name, and adds a line in my .emacs ;;; (read-abbrev-file "~/.abbrev_defs"). ;;; See Emacs manual of Infos for detail. ;;; ;;; CUTOMIZABLE VARIABLES: ;;; You may want to customize the following variables, see the comment strings ;;; for the descriptions of these variables. ;;; ;;; cafeobj-always-show ;;; cafeobj-mode-map ;;; cafeobj-prefix-key ;;; cafeobj-mode-hook ;;; cafeobj-default-application ;;; cafeobj-default-command-switches ;;; cafeobj-decl-keyword-face ;;; cafeobj-keyword-face ;;; cafeobj-command-face ;;; cafeobj-comment-face ;;; cafeobj-indent-level ;;; cafeobj-brace-imaginary-offset ;;; cafeobj-brace-offset ;;; cafeobj-psort-indent ;;; cafeobj-continued-statement-offset ;;; cafeobj-continued-brace-offset ;;; ;;; see document strings for some brief description of each variable. ;;; (require 'comint) ;;; ----------------------- ;;; Customizable variables _____________________________________________________ ;;; ----------------------- (defvar cafeobj-always-show t "*Non-nil means display cafeobj-process-buffer after sending a command.") (defvar cafeobj-mode-map nil "Keymap used with cafeobj mode.") (defvar cafeobj-prefix-key "\C-c" "Prefix for all cafeobj-mode commands.") (defvar cafeobj-mode-hook nil "Hooks called when cafeobj mode fires up.") (defvar cafeobj-default-application "cafeobj" "Default Chaos (CafeOBJ) dialect to run in chaos subprocess.") (defvar cafeobj-default-command-switches nil "Command switches for `cafeobj-default-application'. Should be a list of strings which will be given to the cafeobj process when star up.") ;;; below, we define `faces' of various CafeOBJ syntactic categories. ;;; these are used in font-lock mode for displaying CafeOBJ sources. ;;; You may wish to change these values to suit your taste; set them ;;; in your .emacs or elsewhere which is evaluated BEFORE this file. (defvar cafeobj-decl-keyword-face 'bold "a face used for top level declaration keywords, such as module, view.") (defvar cafeobj-keyword-face font-lock-function-name-face "a face used for displaying keywords of module constructs, ex. op, eq ..") (defvar cafeobj-command-face font-lock-keyword-face "a face used for displaying top-level commands, show, describe, open, and so on.") (defvar cafeobj-comment-face font-lock-comment-face "a face for comment lines.") ;;; INDENTATION CONTROL (defvar cafeobj-indent-level 2 "*Indentation of CafeOBJ statements with respect to containing block.") (defvar cafeobj-brace-imaginary-offset 0 "*Imagined indentation of a CafeOBJ open brace that actually follows a statement.") (defvar cafeobj-brace-offset 0 "*Extra indentation for braces, compared with other text in same context.") (defvar cafeobj-psort-indent 5 "*Indentation level of principal-sort declaration of CafeOBJ.") (defvar cafeobj-continued-statement-offset 2 "*Extra indent for lines not starting new statements.") (defvar cafeobj-continued-brace-offset 0 "*Extra indent for substatements that start with open-braces. This is in addition to cafeobj-continued-statement-offset.") ;;; --------------------------------- ;;; globals for internal use only.... ;;; --------------------------------- (defvar cafeobj-process nil "The active chaos subprocess corresponding to current buffer.") (defvar cafeobj-process-buffer nil "Buffer used for communication with chaos subprocess for current buffer.") (defvar cafeobj-region-start (make-marker) "Start of special region for chaos communication.") (defvar cafeobj-region-end (make-marker) "End of special region for chaos communication.") ;;; ----------------- ;;; Portability stuff___________________________________________________________ ;;; ----------------- (defconst cafeobj-xemacs-p (string-match "XEmacs\\|Lucid" emacs-version)) (defmacro cafeobj-define-key (fsf-key definition &optional xemacs-key) `(define-key cafeobj-mode-map ,(if xemacs-key `(if cafeobj-xemacs-p ,xemacs-key ,fsf-key) fsf-key) ,definition)) (defvar del-back-ch (car (append (where-is-internal 'delete-backward-char) (where-is-internal 'backward-delete-char-untabify))) "Character generated by key bound to delete-backward-char.") (and (vectorp del-back-ch) (= (length del-back-ch) 1) (setq del-back-ch (aref del-back-ch 0))) ;;;--------------------------- ;;; CafeOBJ Keywords/Commands __________________________________________________ ;;; essential syntactic structures are defined here. ;;;--------------------------- (defconst cafeobj-comment-pat "\\(--\\|\\*\\*\\)[ \t\n]+") (defconst cafeobj-keywords '("op" "ops" "\\[" "\\]" "\\*\\[" "\\]\\*" "bop" "pred" "bops" "bpred" "imports" "protecting" "pr" "extending" "ex" "using" "us" "signature" "axioms" "var" "vars" "eq" "cq" "ceq" "bq" "beq" "bcq" "bceq" "trans" "trns" "ctrans" "ctrns" "btrans" "btrns" "bctrans" "bctrns" "class" "record" "attr" "view" "sort" "hsort" "psort" "principal-sort") "keywords appearing inside module declaration or view declaration." ) (defconst cafeobj-keyword-pat (mapconcat 'identity cafeobj-keywords "\\|")) (defun looking-at-cafeobj-keyword-pat () (looking-at cafeobj-keyword-pat)) (defconst cafeobj-commands '("let" "red" "reduce" "input" "in" "execute" "exec" "make" "apply" "start" "match" "parse" "select" "set" "show" "describe" "sh" "choose" "open" "close" "desc" "eof" "require" "provide") "CafeOBJ top-level commands") (defconst cafeobj-command-pat (mapconcat 'identity cafeobj-commands "\\|")) (defun looking-at-cafeobj-command-pat () (looking-at cafeobj-command-pat)) (defconst cafeobj-top-keywords '("op" "ops" "bop" "bops" "pred" "bpred" "var" "vars" "eq" "cq" "ceq" "bq" "beq" "bcq" "bceq" "trans" "trns" "ctrans" "ctrns" "btrans" "btrns" "bctrans" "bctrns" "class" "record" "attr" "\\[" "\\]") "CafeOBJ keyowrds may apper at top-level.") (defun looking-at-cafeobj-top-keywords () (looking-at cafeobj-top-keywords)) (defconst cafeobj-top-key-pat (mapconcat 'identity cafeobj-top-keywords "\\|")) (defconst cafeobj-top-decl-pat "^\\(module\\|mod\\|module\*\\|mod\*\\|module!\\|mod!\\|view\\)") (defun looking-at-cafeobj-top-decl () (looking-at "\\(module\\|mod\\|module\*\\|mod\*\\|module!\\|mod!\\|view\\)") ) (defconst cafeobj-block-start-pat "\\(signature\\|axioms\\|imports\\|record\\|class\\)") (defun looking-at-cafeobj-block-start-pat () (looking-at "\\(signature\\|axioms\\|imports\\|record\\|class\\)")) (defun looking-at-cafeobj-module-decl () (looking-at "module\\|mod\\|module\*\\|mod\*\\|module!\\|mod!")) (defun looking-at-cafeobj-view-decl () (looking-at "view")) ;;;---------- ;;; FONT-LOCK___________________________________________________________________ ;;;---------- (defun get-cafeobj-face (name) (cond (cafeobj-xemacs-p (symbol-value name)) (t (identity name)))) (defvar cafeobj-font-lock-keywords nil "Additional expressions to highlight in CafeOBJ mode.") (setq cafeobj-font-lock-keywords (list ;; comments (cons "^--.*" (get-cafeobj-face 'cafeobj-comment-face)) (cons "^\\*\\*.*" (get-cafeobj-face 'cafeobj-comment-face)) (cons "\\s-\\(--\\|\\*\\*\\|-->\\|\\*\\*>\\)[ \n\t].*" (get-cafeobj-face 'cafeobj-comment-face)) ;; keywords not at beginning of line (cons (concat "\\s-\\(" cafeobj-keyword-pat "\\)[ \n\t]") (get-cafeobj-face 'cafeobj-keyword-face)) ;; commands at beginning of line (cons (concat "^\\(" cafeobj-command-pat "\\)[ \n\t]") (get-cafeobj-face 'cafeobj-command-face)) ;; module (cons "^mod[a-z\!\*]*[ \t]" (get-cafeobj-face 'cafeobj-decl-keyword-face)) ;; view (cons "^view" (get-cafeobj-face 'cafeobj-decl-keyword-face)) ;; declaration appering at the top level. (cons (concat "^\\(" cafeobj-top-key-pat "\\)[ \n\t]") (get-cafeobj-face 'cafeobj-keyword-face)) ;; module name ;; '("\\bmod[a-z\!\*]*[ \t]+\\([a-zA-Z0-9_-\!\*\$\%\&\#\=]*\\)" ;; . font-lock-function-name-face) ;; view name ;;'("\\bview[ \t]+\\([a-zA-Z_]+[a-zA-Z0-9_-\!\*\$\%\&\#\=]*\\)" ;; . font-lock-type-face) )) ;;; XEmacs handles the following, but FSF19 not (cond (cafeobj-xemacs-p (put 'cafeobj-mode 'font-lock-defaults '(cafeobj-font-lock-keywords))) (t ;; FSF19, we must explicitry set the value of 'font-lock-keywords' ;; this will be done in 'cafeobj-mode'. )) ;;; -------------------- ;;; Default Key Bindings________________________________________________________ ;;; -------------------- (defun cafeobj-setup-keymap () "Set up keymap for cafeobj mode. If the variable `cafeobj-prefix-key' is nil, the bindings go directly to `cafeobj-mode-map', otherwise they are prefixed with `cafeobj-prefix-key'." (setq cafeobj-mode-map (make-sparse-keymap)) ;; (let ((map (if cafeobj-prefix-key (make-sparse-keymap) cafeobj-mode-map))) ;; indentation (define-key cafeobj-mode-map [?}] 'cafeobj-electric-brace) ;; communication (define-key map "i" 'cafeobj-send-line) (define-key map "e" 'cafeobj-send-decl) (define-key map "r" 'cafeobj-send-region) (define-key map "l" 'cafeobj-send-buffer) (define-key map "[" 'cafeobj-beginning-of-decl) (define-key map "]" 'cafeobj-end-of-decl) (define-key map "q" 'cafeobj-kill-process) (define-key map "s" 'cafeobj-show-process-buffer) (define-key map "h" 'cafeobj-hide-process-buffer) ;; (if cafeobj-prefix-key (define-key cafeobj-mode-map cafeobj-prefix-key map)) )) (cafeobj-setup-keymap) ;;; ------------- ;;; MENU SUPPORTS_______________________________________________________________ ;;; ------------- ;; For XEmacs (defvar cafeobj-mode-popup-menu nil) (defvar cafeobj-mode-menubar-menu nil) ;; For FSF19 (defvar cafeobj-mode-menu nil "Keymap for cafeobj-mode's menu.") (defvar cafeobj-edit-menu nil "Keymap for cafeobj edit menu.") (defvar cafeobj-trans-menu nil "keymap for transitions editing") (defvar cafeobj-eq-menu nil "keymap for equations editing") (defvar cafeobj-op-menu nil "keymap for operations editing") (defvar cafeobj-sort-menu nil "keymap for sort editing") (defvar cafeobj-import-menu nil "keymap for module imports editing") (defvar cafeobj-view-menu nil "keymap for view editing") (defvar cafeobj-module-menu nil "keymap for module definition editing") (cond (cafeobj-xemacs-p (setq cafeobj-mode-popup-menu (purecopy '("CafeOBJ Interaction Menu" ["Evaluate This Declaration" cafeobj-send-decl t] ["Evaluate Current Line" cafeobj-send-line t] ["Evaluate Entire Buffer" cafeobj-send-buffer t] ["Evaluate Region" cafeobj-send-region (region-exists-p)] "---" ["Comment Out Region" comment-region (region-exists-p)] ["Indent Region" indent-region (region-exists-p)] ["Indent Line" cafeobj-indent-line t] ["Beginning of Declaration" cafeobj-beginning-of-decl t] ))) (setq cafeobj-mode-menubar-menu (purecopy (cons "CafeOBJ" (cdr cafeobj-mode-popup-menu))))) (t ;; (setq cafeobj-mode-menu (make-sparse-keymap "CafeOBJ-Eval")) ;; Interaction menu ;; interaction with CafeOBJ interpreter. ;; (define-key cafeobj-mode-map [menu-bar cafeobj-mode] (cons "CafeOBJ" cafeobj-mode-menu)) (define-key cafeobj-mode-map [menu-bar cafeobj-mode send-current-line] '("Evaluate Current Line" . cafeobj-send-line)) (define-key cafeobj-mode-map [menu-bar cafeobj-mode send-region] '("Evaluate CafeOBJ-Region" . cafeobj-send-region)) (define-key cafeobj-mode-map [menu-bar cafeobj-mode send-proc] '("Evaluate This Declaration" . cafeobj-send-decl)) (define-key cafeobj-mode-map [menu-bar cafeobj-mode send-buffer] '("Send Buffer" . cafeobj-send-buffer)) ;; ;; edit menu ;; (setq cafeobj-edit-menu (make-sparse-keymap "CafeOBJ-Edit")) (define-key cafeobj-mode-map [menu-bar cafeobj-edit] (cons "CafeOBJ-Edit" cafeobj-edit-menu)) (define-key cafeobj-mode-map [menu-bar cafeobj-edit beginning-of-decl] '("Beginning Of Proc" . cafeobj-beginning-of-decl)) (define-key cafeobj-mode-map [menu-bar cafeobj-edit comment-region] '("Comment Out Region" . comment-region)) (define-key cafeobj-mode-map [menu-bar cafeobj-edit indent-region] '("Indent Region" . indent-region)) (define-key cafeobj-mode-map [menu-bar cafeobj-edit indent-line] '("Indent Line" . cafeobj-indent-command)) (define-key cafeobj-mode-map [menu-bar cafeobj-edit beginning-of-decl] '("Beginning of Declaration" . cafeobj-beginning-of-decl)) (define-key cafeobj-mode-map [menu-bar cafeobj-edit undo] '("Undo" . cafeobj-kb7-undo)) ;; ;; kb7-style syntax-oriented editing commands ;; (define-key cafeobj-mode-map [menu-bar cafeobj-edit separator-trans] '("--")) (define-key cafeobj-mode-map [menu-bar cafeobj-edit trans] '("Transition" . cafeobj-trans-menu)) (define-key cafeobj-mode-map [menu-bar cafeobj-edit eq] '("Equation" . cafeobj-eq-menu)) (define-key cafeobj-mode-map [menu-bar cafeobj-edit var] '("Variable" . var)) (define-key cafeobj-mode-map [menu-bar cafeobj-edit op] '("Operation" . cafeobj-op-menu)) (define-key cafeobj-mode-map [menu-bar cafeobj-edit sort] '("Sort" . cafeobj-sort-menu)) (define-key cafeobj-mode-map [menu-bar cafeobj-edit import] '("Import" . cafeobj-import-menu)) (define-key cafeobj-mode-map [menu-bar cafeobj-edit separator-view] '("--")) (define-key cafeobj-mode-map [menu-bar cafeobj-edit view] '("View" . cafeobj-view-menu)) (define-key cafeobj-mode-map [menu-bar cafeobj-edit module] '("Module" . cafeobj-module-menu)) )) ;;; transition menu (FSF) (setq cafeobj-trans-menu (make-sparse-keymap "Transition")) (defalias 'cafeobj-trans-menu (symbol-value 'cafeobj-trans-menu)) (define-key cafeobj-mode-map [menu-bar cafeobj-edit] (cons "Transition" cafeobj-trans-menu)) (define-key cafeobj-trans-menu [ctrans] '("conditional..." . ctrans)) (define-key cafeobj-trans-menu [trans] '("simple..." . trans)) ;;; equation menu (FSF) (setq cafeobj-eq-menu (make-sparse-keymap "Equation")) (defalias 'cafeobj-eq-menu (symbol-value 'cafeobj-eq-menu)) (define-key cafeobj-mode-map [menu-bar cafeobj-edit] (cons "Equation" cafeobj-eq-menu)) (define-key cafeobj-eq-menu [bcq] '("cond behavioural..." . bcq)) (define-key cafeobj-eq-menu [beq] '("behavioural..." . beq)) (define-key cafeobj-eq-menu [cq] '("conditional..." . cq)) (define-key cafeobj-eq-menu [eqq] '("simple..." . eqq)) ;;; operation menu (FSF) (setq cafeobj-op-menu (make-sparse-keymap "Operation")) (defalias 'cafeobj-op-menu (symbol-value 'cafeobj-op-menu)) (define-key cafeobj-mode-map [menu-bar cafeobj-edit] (cons "Operation" cafeobj-op-menu)) (define-key cafeobj-op-menu [bop] '("behavioural..." . bop)) (define-key cafeobj-op-menu [op] '("algebraic..." . op)) ;;; sort menu (FSF) (setq cafeobj-sort-menu (make-sparse-keymap "Sort")) (defalias 'cafeobj-sort-menu (symbol-value 'cafeobj-sort-menu)) (define-key cafeobj-mode-map [menu-bar cafeobj-edit] (cons "Sort" cafeobj-sort-menu)) (define-key cafeobj-sort-menu [hsort] '("hidden..." . hsort)) (define-key cafeobj-sort-menu [vsort] '("visible..." . vsort)) ;;; import menu (FSF) (setq cafeobj-import-menu (make-sparse-keymap "Import")) (defalias 'cafeobj-import-menu (symbol-value 'cafeobj-import-menu)) (define-key cafeobj-mode-map [menu-bar cafeobj-edit] (cons "Import" cafeobj-import-menu)) (define-key cafeobj-import-menu [using] '("using..." . using)) (define-key cafeobj-import-menu [ex] '("extending..." . ex)) (define-key cafeobj-import-menu [pr] '("protecting..." . pr)) ;;; view menu (FSF) (setq cafeobj-view-menu (make-sparse-keymap "View")) (defalias 'cafeobj-view-menu (symbol-value 'cafeobj-view-menu)) ;;; module menu (FSF) (setq cafeobj-module-menu (make-sparse-keymap "Module")) (defalias 'cafeobj-module-menu (symbol-value 'cafeobj-module-menu)) (define-key cafeobj-module-menu [modd] '("either..." . modd)) (define-key cafeobj-module-menu [mod*] '("loose semantics..." . mod*)) (define-key cafeobj-module-menu [mod!] '("initial semantics..." . mod!)) ;;; ------------ ;;; CafeOBJ Mode________________________________________________________________ ;;; ------------ (defvar cafeobj-mode-abbrev-table nil "Abbrev table in use in CafeOBJ mode.") ;;; some default abbreviations define here (if cafeobj-mode-abbrev-table nil (define-abbrev-table 'cafeobj-mode-abbrev-table '(("btrns" "btrans" nil 0) ("bcq" "bceq" nil 0) ("compat" "compatibility" nil 0) ("psort" "principal-sort" nil 0) ("req" "require" nil 0) ("sh" "show" nil 0) ("verb" "verbose" nil 0) ("reg" "regularize" nil 0) ("import" "imports" nil 0) ("cq" "ceq" nil 0) ("red" "reduce" nil 0) ("strat" "strategy" nil 0) ("us" "using" nil 0) ("btrn" "btrans" nil 0) ("btr" "btrans" nil 0) ("reconst" "reconstruct" nil 0) ("chk" "check" nil 0) ("trns" "trans" nil 0) ("swit" "swithces" nil 0) ("bq" "beq" nil 0) ("desc" "describe" nil 0) ("bctr" "bctrans" nil 0) ("incl" "include" nil 0) ("bctrn" "bctrans" nil 0) ("ex" "extending" nil 0) ("axs" "axioms" nil 0) ("pr" "protecting" nil 0) ("bctrns" "bctrans" nil 0) ("pat" "pattern" nil 0) ("recon" "reconstruct" nil 0) ("prov" "provide" nil 0) ("sel" "select" nil 0) ("sig" "signature" nil 0) ("sign" "signature" nil 1) ("cond" "conditions" nil 0) ("imp" "imports" nil 0) ("comp" "compatibility" nil 0) ("swi" "switch" nil 0) ("reconstr" "reconstruct" nil 0) )) ) (defvar cafeobj-mode-syntax-table nil "Syntax table in use in cafeobj-mode buffers.") (if cafeobj-mode-syntax-table () (setq cafeobj-mode-syntax-table (make-syntax-table)) (mapcar (function (lambda (x) (modify-syntax-entry (car x) (cdr x) cafeobj-mode-syntax-table))) '(( ?\( . "()" ) ( ?\) . ")(" ) ( ?\[ . "(]" ) ( ?\] . ")[" ) ( ?\{ . "(}" ) ( ?\} . "){" ) ;; underscore is word class ( ?\_ . "w" ) ( ?\" . "\"" ) ; double quote is string quote too ( ?\n . ">")) )) (defun cafeobj-mode () "Major mode for editing CafeOBJ programs. The following keys are bound: \\{cafeobj-mode-map} " (interactive) (let (s) (kill-all-local-variables) (setq major-mode 'cafeobj-mode) (setq mode-name "CafeOBJ") ;; keymap (or cafeobj-mode-map (cafeobj-setup-keymap)) (use-local-map cafeobj-mode-map) ;; abbrev (setq local-abbrev-table cafeobj-mode-abbrev-table) ;; settting menu. (if cafeobj-xemacs-p (setq mode-popup-menu cafeobj-mode-popup-menu) (progn (define-key cafeobj-mode-map [menu-bar cafeobj-mode] (cons "CafeOBJ-Eval" cafeobj-mode-menu)) (define-key cafeobj-mode-map [menu-bar cafeobj-edit] (cons "CafeOBJ-Edit" cafeobj-edit-menu)) )) ;; (set (make-local-variable 'cafeobj-process) nil) (set (make-local-variable 'cafeobj-process-buffer) nil) (make-local-variable 'cafeobj-default-command-switches) ;; (cond (cafeobj-xemacs-p (make-local-variable 'font-lock-defaults)) (t (set (make-local-variable 'font-lock-keywords) cafeobj-font-lock-keywords))) ;; (set (make-local-variable 'indent-line-function) 'cafeobj-indent-line) (set (make-local-variable 'comment-start) "-- ") ; obsolate? ... should be fixed. ;; todo -- (set (make-local-variable 'comment-start-skip) "\\(\\(^\\|;\\)[ \t]*\\)--") ;; syntax------- (set-syntax-table cafeobj-mode-syntax-table) ;; (modify-syntax-entry ?# "<") (modify-syntax-entry ?\n ">") ;; (make-local-variable 'require-final-newline) (setq require-final-newline t) ;; (setq comment-column 32) (make-local-variable 'comment-start-skip) (make-local-variable 'parse-sexp-ignore-comments) (setq parse-sexp-ignore-comments t) ;; look for a #!.../cafeobj -f line at bob (save-excursion (goto-char (point-min)) (if (looking-at "#![ \t]*\\([^ \t]*\\)[ \t]\\(.*[ \t]\\)-f") (progn (set (make-local-variable 'cafeobj-default-application) (buffer-substring (match-beginning 1) (match-end 1))) (if (match-beginning 2) (progn (goto-char (match-beginning 2)) (set (make-local-variable 'cafeobj-default-command-switches) nil) (while (< (point) (match-end 2)) (setq s (read (current-buffer))) (if (<= (point) (match-end 2)) (setq cafeobj-default-command-switches (append cafeobj-default-command-switches (list (prin1-to-string s))))))))) ;; if this fails, look for the #!/bin/csh ... exec hack (while (eq (following-char) ?#) (forward-line 1)) (or (bobp) (forward-char -1)) (if (eq (preceding-char) ?\\) (progn (forward-char 1) (if (looking-at "exec[ \t]+\\([^ \t]*\\)[ \t]\\(.*[ \t]\\)*-f") (progn (set (make-local-variable 'cafeobj-default-application) (buffer-substring (match-beginning 1) (match-end 1))) (if (match-beginning 2) (progn (goto-char (match-beginning 2)) (set (make-local-variable 'cafeobj-default-command-switches) nil) (while (< (point) (match-end 2)) (setq s (read (current-buffer))) (if (<= (point) (match-end 2)) (setq cafeobj-default-command-switches (append cafeobj-default-command-switches (list (prin1-to-string s))))))))) ))))) ;; (if (and (featurep 'menubar) current-menubar) (progn ;; make a local copy of the menubar, so our modes don't ;; change the global menubar (set-buffer-menubar current-menubar) (add-submenu nil cafeobj-mode-menubar-menu))) ;; (run-hooks 'cafeobj-mode-hook))) ;;; ---------------- ;;; CafeOBJ Editting____________________________________________________________ ;;; ---------------- (defconst cafeobj-auto-newline nil "*Non-nil means automatically newline before and after braces, and after colons and semicolons, inserted in CafeOBJ code.") (defconst cafeobj-tab-always-indent t "*Non-nil means TAB in C mode should always reindent the current line, regardless of where in the line point is when the TAB command is used.") (defun cafeobj-electric-brace (arg) "Insert character and correct line's indentation." (interactive "P") (let (insertpos) (if (and (not arg) (eolp) (or (save-excursion (skip-chars-backward " \t") (bolp)) (if cafeobj-auto-newline (progn (cafeobj-indent-line) (newline) t) nil))) (progn (insert last-command-char) (cafeobj-indent-line) (if cafeobj-auto-newline (progn (newline) ;; (newline) may have done auto-fill (setq insertpos (- (point) 2)) (cafeobj-indent-line))) (save-excursion (if insertpos (goto-char (1+ insertpos))) (delete-char -1)))) (if insertpos (save-excursion (goto-char insertpos) (self-insert-command (prefix-numeric-value arg))) (self-insert-command (prefix-numeric-value arg))))) (defun cafeobj-beginning-of-block (&optional arg) "Move backward to the beginning of a CafeOBJ block structure. With argument, do it that many times. Negative arg -N means move forward to Nth following beginning of declaration. Returns t unless search stops due to beginning or end of buffer." (interactive "P") (or arg (setq arg 1)) (let ((found nil) (ret t)) (if (and (< arg 0) (looking-at-cafeobj-block-start-pat)) (forward-char 1)) (while (< arg 0) (if (re-search-forward cafeobj-block-start-pat nil t) (setq arg (1+ arg) found t) (setq ret nil arg 0))) (if found (beginning-of-line)) (while (> arg 0) (if (re-search-backward cafeobj-block-start-pat nil t) (setq arg (1- arg)) (setq ret nil arg 0))) ret)) (defun cafeobj-beginning-of-decl (&optional arg) "Move backward to the beginning of a CafeOBJ top-level decl. With argument, do it that many times. Negative arg -N means move forward to Nth following beginning of declaration. Returns t unless search stops due to beginning or end of buffer." (interactive "P") (or arg (setq arg 1)) (let ((found nil) (ret t)) (if (and (< arg 0) (looking-at cafeobj-top-decl-pat)) (forward-char 1)) (while (< arg 0) (if (re-search-forward cafeobj-top-decl-pat nil t) (setq arg (1+ arg) found t) (setq ret nil arg 0))) (if found (beginning-of-line)) (while (> arg 0) (if (re-search-backward cafeobj-top-decl-pat nil t) (setq arg (1- arg)) (setq ret nil arg 0))) ret)) (defun cafeobj-end-of-decl (&optional arg) "Move forward to next end of chaos declaration (or similar). With argument, do it that many times. Negative argument -N means move back to Nth preceding end of proc. This function just searches for a `}' at the beginning of a line." (interactive "P") (or arg (setq arg 1)) (let ((found nil) (ret t)) (if (and (< arg 0) (not (bolp)) (save-excursion (beginning-of-line) (eq (following-char) ?}))) (forward-char -1)) (while (> arg 0) (if (re-search-forward "^}" nil t) (setq arg (1- arg) found t) (setq ret nil arg 0))) (while (< arg 0) (if (re-search-backward "^}" nil t) (setq arg (1+ arg) found t) (setq ret nil arg 0))) (if found (end-of-line)) ret)) (defun cafeobj-outline-level () (save-excursion (skip-chars-forward "\t ") (current-column))) (defun cafeobj-inside-parens-p () (condition-case () (save-excursion (save-restriction (narrow-to-region (point) (progn (cafeobj-beginning-of-decl) (point))) (goto-char (point-max)) (= (char-after (or (scan-lists (point) -1 1) (point-min))) ?\())) (error nil))) (defun cafeobj-indent-command (&optional whole-exp) "Indent current line as CafeOBJ code, or in some cases insert a tab character. If `cafeobj-tab-always-indent' is non-nil (the default), always indent current line. Otherwise, indent the current line only if point is at the left margin or in the line's indentation; otherwise insert a tab. A numeric argument, regardless of its value, means indent rigidly all the lines of the expression starting after point so that this line becomes properly indented. The relative indentation among the lines of the expression are preserved." (interactive "P") (if whole-exp ;; If arg, always indent this line as CafeOBJ ;; and shift remaining lines of expression the same amount. (let ((shift-amt (cafeobj-indent-line)) beg end) (save-excursion (if cafeobj-tab-always-indent (beginning-of-line)) ;; Find beginning of following line. (save-excursion (forward-line 1) (setq beg (point))) ;; Find first beginning-of-sexp for sexp extending past this line. (while (< (point) beg) (forward-sexp 1) (setq end (point)) (skip-chars-forward " \t\n"))) (if (> end beg) (indent-code-rigidly beg end shift-amt "#"))) (if (and (not cafeobj-tab-always-indent) (save-excursion (skip-chars-backward " \t") (not (bolp)))) (insert-tab) (cafeobj-indent-line)))) (defun cafeobj-indent-line () "Indent current line as CafeOBJ code. Return the amount the indentation changed by." (let ((indent (calculate-cafeobj-indent nil)) beg shift-amt (case-fold-search nil) (pos (- (point-max) (point)))) (beginning-of-line) (setq beg (point)) (cond ((eq indent nil) (setq indent (current-indentation))) ((eq indent t) (setq indent (current-indentation))) (t (skip-chars-forward " \t") (if (listp indent) (setq indent (car indent))) (cond ((= (following-char) ?}) (setq indent (- indent cafeobj-indent-level))) ((= (following-char) ?{) (setq indent (+ indent cafeobj-brace-offset)))))) (skip-chars-forward " \t") (setq shift-amt (- indent (current-column))) (if (zerop shift-amt) (if (> (- (point-max) pos) (point)) (goto-char (- (point-max) pos))) (delete-region beg (point)) (indent-to indent) ;; If initial point was within line's indentation, ;; position after the indentation. Else stay at same point in text. (if (> (- (point-max) pos) (point)) (goto-char (- (point-max) pos)))) shift-amt)) (defun calculate-cafeobj-indent (&optional parse-start) "Return appropriate indentation for current line as CafeOBJ code. In usual case returns an integer: the column to indent to. Returns nil if line starts inside a string, t if in a comment." (save-excursion (beginning-of-line) (let ((indent-point (point)) (case-fold-search nil) state containing-sexp) (if parse-start (goto-char parse-start) (cafeobj-beginning-of-decl)) (while (< (point) indent-point) (setq parse-start (point)) (setq state (parse-partial-sexp (point) indent-point 0)) (setq containing-sexp (car (cdr state)))) ;; (cond ((or (nth 3 state) (nth 4 state)) ;; return nil or t if should not change this line (nth 4 state)) ; t if inside a comment, else nil. ;; ((null containing-sexp) ; we are at top-level ;; -- TOP-LEVEL------------------------------------------------ ;; Line is at top level. May be module/view declaration or ;; top-level commands. (goto-char indent-point) ; start from original pos. (skip-chars-forward " \t") (cond ((= (following-char) ?{) 0) ((looking-at cafeobj-top-decl-pat) 0) ((looking-at cafeobj-comment-pat) (current-column)) (t (cafeobj-backward-to-noncomment (or parse-start (point-min))) ;; Look at previous line that's at column 0 ;; to determine whether we are in top-level decl. (let ((basic-indent (save-excursion (re-search-backward "^[^ \^L\t\n]" nil 'move) (if (and (looking-at cafeobj-top-decl-pat) (not (progn (condition-case nil (progn (search-forward "\{" parse-start) (forward-list)) (error nil)) (looking-at "\}")))) cafeobj-psort-indent 0)))) basic-indent)))) ;; NON TOPLEVEL ---------------------------------------------- ((and (/= (char-after containing-sexp) ?{) (< (car state) 2)) ;; indent to just after the surrounding open. (goto-char (+ 2 containing-sexp)) (current-column)) ;; WITHIN A BRACE -------------------------------------------- (t (goto-char indent-point) (if (and (not (is-cafeobj-beginning-of-statement)) (progn (cafeobj-backward-to-noncomment containing-sexp) (not (memq (preceding-char) '(0 ?\, ?\} ?\{ ?\. ?\] ?\))))) ;; don't treat a line with a close-brace ;; as a continuation. It is probably the ;; end of a block. (save-excursion (goto-char indent-point) (skip-chars-forward " \t") (not (= (following-char) ?}))) ) ;; This line is continuation of preceding line's statement; ;; indent cafeobj-continued-statement-offset more than the ;; previous line of the statement. (progn (cafeobj-backward-to-start-of-continued-exp containing-sexp) (+ cafeobj-continued-statement-offset (current-column) (if (save-excursion (goto-char indent-point) (skip-chars-forward " \t") (eq (following-char) ?{)) cafeobj-continued-brace-offset 0))) ;; This line starts a new statement. ;; if we are looking at a comment line, leave it as is. (if (progn (goto-char indent-point) (skip-chars-forward " \t") (looking-at cafeobj-comment-pat)) (current-column) (progn ;; Position following last unclosed open-brace. (goto-char containing-sexp) ;; Is line first statement after an open-brace? (or ;; If no, find that first statement and indent like it. (save-excursion (forward-char 1) (while (progn (skip-chars-forward " \t\n") (looking-at "--[ \t].*\\|\*\*[ \t].*")) (forward-line 1)) ;; The first following code counts ;; if it is before the line we want to indent. (skip-chars-forward " \t\n") (and (< (point) indent-point) (- (current-column) ;; If prev stmt starts with open-brace, that ;; open brace was offset by cafeobj-brace-offset. ;; Compensate to get the column where ;; an ordinary statement would start. (if (= (following-char) ?\{) cafeobj-brace-offset 0)) )) ;; If no previous statement, ;; indent it relative to line brace is on. ;; For open brace in column zero, don't let statement ;; start there too. If cafeobj-indent-level is zero, ;; use cafeobj-brace-offset + ;; cafeobj-continued-statement-offset instead. ;; For open-braces not the first thing in a line, ;; add in cafeobj-brace-imaginary-offset. (+ (if (and (bolp) (zerop cafeobj-indent-level)) (+ cafeobj-brace-offset cafeobj-continued-statement-offset) cafeobj-indent-level) ;; Move back over whitespace before the openbrace. ;; If openbrace is not first nonwhite thing on the line, ;; add the cafeobj-brace-imaginary-offset. (progn (skip-chars-backward " \t") (if (bolp) 0 cafeobj-brace-imaginary-offset)) ;; If the openbrace is preceded by a parenthesized exp, ;; move to the beginning of that; ;; possibly a different line (progn (if (memq (preceding-char) '(?\) \])) (forward-sexp -1)) ;; Get initial indentation of the line we are on. (current-indentation)))))))))))) (defun is-cafeobj-beginning-of-statement () (save-excursion (beginning-of-line) (skip-chars-forward " \t") (or (looking-at cafeobj-keyword-pat) (looking-at cafeobj-command-pat) (looking-at cafeobj-comment-pat)))) (defun cafeobj-backward-to-noncomment (lim) (let (stop) (while (not stop) (skip-chars-backward " \t\n\f" lim) (setq stop (or (<= (point) lim) (save-excursion (beginning-of-line) (skip-chars-forward " \t") (not (looking-at cafeobj-comment-pat))))) (or stop (beginning-of-line))))) (defun cafeobj-backward-to-start-of-continued-exp (lim) (if (memq (preceding-char) '(?\) ?\" ?\])) (forward-sexp -1)) (beginning-of-line) (if (<= (point) lim) (goto-char (1+ lim))) (skip-chars-forward " \t")) ;;; ----------------------- ;;; RUN CafeOBJ Interpreter_____________________________________________________ ;;; and Interact with it ;;; ----------------------- (defvar cafeobj-prompt-pattern "^[A-Za-z0-9!#$%']+> ") (defun cafeobj-process-mode () (interactive) (comint-mode) (setq major-mode 'CafeOBJ-process-mode) (setq mode-name "CafeOBJ process") (make-local-variable 'comint-prompt-regexp) ;;(cond (cafeobj-xemacs-p ;; (make-local-variable 'font-lock-defaults) ;; (put 'cafeobj-process-mode 'font-lock-defaults ;; '(cafeobj-font-lock-keywords))) ;; ;; (t (set (make-local-variable 'font-lock-keywords) ;; cafeobj-font-lock-keywords))) (setq comint-prompt-regexp cafeobj-prompt-pattern) (setq local-abbrev-table cafeobj-mode-abbrev-table) (comint-read-input-ring t) ) (defun cafeobj-start-process (name program &optional startfile &rest switches) "Start a chaos process named NAME, running PROGRAM." (or switches (setq switches cafeobj-default-command-switches)) (setq cafeobj-process-buffer (apply 'make-comint name program startfile switches)) (setq cafeobj-process (get-buffer-process cafeobj-process-buffer)) (save-excursion (set-buffer cafeobj-process-buffer) (cafeobj-process-mode) )) (defun cafeobj (&rest ignore) (interactive) (if (and cafeobj-process (eq (process-status cafeobj-process) 'run)) (switch-to-buffer cafeobj-process-buffer) (progn (cafeobj-start-process cafeobj-default-application cafeobj-default-application) (switch-to-buffer-other-window cafeobj-process-buffer)))) (defun cafeobj-kill-process () "Kill chaos subprocess and its buffer." (interactive) (if cafeobj-process-buffer (kill-buffer cafeobj-process-buffer))) (defun cafeobj-set-cafeobj-region-start (&optional arg) "Set start of region for use with `cafeobj-send-cafeobj-region'." (interactive) (set-marker cafeobj-region-start (or arg (point)))) (defun cafeobj-set-cafeobj-region-end (&optional arg) "Set end of region for use with `cafeobj-send-cafeobj-region'." (interactive) (set-marker cafeobj-region-end (or arg (point)))) (defun cafeobj-send-line () "Send current line to chaos subprocess, found in `cafeobj-process'. If `cafeobj-process' is nil or dead, start a new process first." (interactive) (let ((start (save-excursion (beginning-of-line) (point))) (end (save-excursion (end-of-line) (point)))) (or (and cafeobj-process (eq (process-status cafeobj-process) 'run)) (cafeobj-start-process cafeobj-default-application cafeobj-default-application)) (comint-simple-send cafeobj-process (buffer-substring start end)) (forward-line 1) (if cafeobj-always-show (display-buffer cafeobj-process-buffer)))) (defun cafeobj-send-region (start end) "Send region to chaos subprocess." (interactive "r") (or (and cafeobj-process (comint-check-proc cafeobj-process-buffer)) (cafeobj-start-process cafeobj-default-application cafeobj-default-application)) (comint-simple-send cafeobj-process (concat (buffer-substring start end) "\n")) (if cafeobj-always-show (display-buffer cafeobj-process-buffer))) (defun cafeobj-send-decl () "Send proc around point to chaos subprocess." (interactive) (let (beg end) (save-excursion (cafeobj-beginning-of-decl) (setq beg (point)) (cafeobj-end-of-decl) (setq end (point))) (or (and cafeobj-process (comint-check-proc cafeobj-process-buffer)) (cafeobj-start-process cafeobj-default-application cafeobj-default-application)) (comint-simple-send cafeobj-process (concat (buffer-substring beg end) "\n")) (if cafeobj-always-show (display-buffer cafeobj-process-buffer)))) (defun cafeobj-send-buffer () "Send whole buffer to chaos subprocess." (interactive) (or (and cafeobj-process (comint-check-proc cafeobj-process-buffer)) (cafeobj-start-process cafeobj-default-application cafeobj-default-application)) (if (buffer-modified-p) (comint-simple-send cafeobj-process (concat (buffer-substring (point-min) (point-max)) "\n")) (comint-simple-send cafeobj-process (concat "input " (buffer-file-name) "\n"))) (if cafeobj-always-show (display-buffer cafeobj-process-buffer))) (defun cafeobj-show-process-buffer () "Make sure `cafeobj-process-buffer' is being displayed." (interactive) (display-buffer cafeobj-process-buffer)) (defun cafeobj-hide-process-buffer () "Delete all windows that display `cafeobj-process-buffer'." (interactive) (delete-windows-on cafeobj-process-buffer)) ;;; KB7 style commands for syntax-oriented editing of CafeOBJ constructs ;;; (defvar cafeobj-kb7-indent-to " " "tells how much to indent to, and is user settable") (defvar cafeobj-kb7-mark-1st-field nil "marking the 1st field in the current template") (defvar cafeobj-kb7-template-markers nil "this is a history of pairs of markers, the 1st marking the beginning of the template, and the second the end") (defun modd () (interactive) (beginning-of-line) (cafeobj-kb7-template-create "mod") ) (defun mod! () (interactive) (beginning-of-line) (cafeobj-kb7-template-create "mod!") ) (defun mod* () (interactive) (beginning-of-line) (cafeobj-kb7-template-create "mod*") ) (defun pr () (interactive) (beginning-of-line) (cafeobj-kb7-template-create "protecting") ) (defun ex () (interactive) (beginning-of-line) (cafeobj-kb7-template-create "extending") ) (defun using () (interactive) (beginning-of-line) (cafeobj-kb7-template-create "using") ) (defun vsort () (interactive) (beginning-of-line) (cafeobj-kb7-template-create "vsort") ) (defun hsort () (interactive) (beginning-of-line) (cafeobj-kb7-template-create "hsort") ) (defun op () (interactive) (beginning-of-line) (cafeobj-kb7-template-create "op") ) (defun bop () (interactive) (beginning-of-line) (cafeobj-kb7-template-create "bop") ) (defun var () (interactive) (beginning-of-line) (cafeobj-kb7-template-create "var") ) (defun eqq () (interactive) (beginning-of-line) (cafeobj-kb7-template-create "eq") ) (defun cq () (interactive) (beginning-of-line) (cafeobj-kb7-template-create "cq") ) (defun beq () (interactive) (beginning-of-line) (cafeobj-kb7-template-create "beq") ) (defun trans () (interactive) (beginning-of-line) (cafeobj-kb7-template-create "trans") ) (defun ctrans () (interactive) (beginning-of-line) (cafeobj-kb7-template-create "ctrans") ) (defun bcq () (interactive) (beginning-of-line) (cafeobj-kb7-template-create "bcq") ) (defun btrans () (interactive) (beginning-of-line) (cafeobj-kb7-template-create "btrans") ) (defun view () (interactive) (beginning-of-line) (cafeobj-kb7-template-create "view") ) (defun make () (interactive) (beginning-of-line) (cafeobj-kb7-template-create "make") ) (defun cafeobj-kb7-template-create (command) "constructs the template corresponding to 'command' and moves the cursor at the beginning of the 1st field of the template. It also marks both the beginning of the template and the position immediately after the template" (let ( (keyword (cafeobj-kb7-keyword command)) (cafeobj-kb7-template-beg (make-marker)) (cafeobj-kb7-template-end (make-marker)) ) (set-marker cafeobj-kb7-template-beg (point-marker)) (cafeobj-kb7-intpr-schema (cafeobj-kb7-schema-create command) keyword) (set-marker cafeobj-kb7-template-end (- (point-marker) 1)) (cafeobj-kb7-history-join (cafeobj-kb7-marker-pair-new cafeobj-kb7-template-beg cafeobj-kb7-template-end) cafeobj-kb7-template-markers ) (goto-char (1+ cafeobj-kb7-mark-1st-field)) )) (defun cafeobj-kb7-keyword (command) "gets the keyword of the respective command. this is the string from the begining of the command to the 1st '-' " (concat (cafeobj-kb7-kill-after-minus (append command nil))) ) (defun cafeobj-kb7-1st-identif (beg end) "returns the 1st identifier of the construct delimitated by beg and end" (let* ( (i (cafeobj-kb7-cross-blanks beg end)) (begining-of-identifier i) ) (setq i (cafeobj-kb7-cross-identif i)) (buffer-substring begining-of-identifier i) )) (defun cafeobj-kb7-kill-after-minus (list-of-int) "delets the rest of the string from the 1st '-' on. the string is represented as a list of integers representing the code of the characters of the respective string. the result is given in the same form of a list of integers." (cond ( (null list-of-int) nil ) ( (= (car list-of-int) 45) nil ) (t (cons (car list-of-int) (cafeobj-kb7-kill-after-minus (cdr list-of-int))) ) ) ) (defun cafeobj-kb7-schema-create (command) "constructs the schema for the template corresponding to 'command'" (cond ( (equal command "module") '(keyword 2 "{" nl nl "}" nl) ) ( (equal command "mod!") '(keyword 2 "{" nl nl "}" nl) ) ( (equal command "mod*") '(keyword 2 "{" nl nl "}" nl) ) ( (equal command "protecting") '(ind keyword "(" ")" nl) ) ( (equal command "extending") '(ind keyword "(" ")" nl) ) ( (equal command "using") '(ind keyword "(" ")" nl) ) ( (equal command "vsort") '(ind "[" " ]" nl) ) ( (equal command "hsort") '(ind "*[" " ]*" nl) ) ( (equal command "op") '(ind keyword 2 ":" 2 "->" 2 nl) ) ( (equal command "bop") '(ind keyword 2 ":" 2 "->" 2 nl) ) ( (equal command "var") '(ind keyword 2 ":" 2 nl) ) ( (equal command "eq") '(ind keyword 2 "=" 2 "." nl) ) ( (equal command "cq") '(ind keyword 2 "=" 2 nl ind 3 "if" 2 "." nl) ) ( (equal command "beq") '(ind keyword 2 "=" 2 "." nl) ) ( (equal command "trans") '(ind keyword 2 "=>" 2 "." nl) ) ( (equal command "ctrans") '(ind keyword 2 "=>" 2 nl ind 3 "if" 2 "." nl) ) ( (equal command "bcq") '(ind keyword 2 "=>" 2 nl ind 3 "if" 2 "." nl) ) ( (equal command "btrans") '(ind keyword 2 "=>" 2 "." nl) ) ( (equal command "view") '(keyword 2 "from" 2 "to" 2 "is" nl nl "endv" nl) ) ( (equal command "make") '(keyword 2 "is" nl nl "endm" nl) ) (t nil) ) ) (defun cafeobj-kb7-intpr-schema (schema keyword) "interprets the template schema into code printing the respective template. After it has done so it marks the end of the template." (if schema (progn (cafeobj-kb7-intpr-item (car schema) keyword) (cafeobj-kb7-intpr-schema (cdr schema) keyword) ) ;else nil ) ) (defun cafeobj-kb7-intpr-item (item keyword) "interprets an item from a template schema as printing code. It also marks the beginning of the keyword of the template." (cond ( (stringp item) (insert item) (cond ( (equal item "[") (setq cafeobj-kb7-mark-1st-field (point)) ) ( (equal item "*[") (setq cafeobj-kb7-mark-1st-field (point)) ) (t nil) ) ) ( (numberp item) (cafeobj-kb7-indent-nr item) ) ( (equal item 'ind) (insert cafeobj-kb7-indent-to) ) ( (equal item 'nl) (newline) ) ( (equal item 'keyword) (insert keyword) (setq cafeobj-kb7-mark-1st-field (point)) ) (t nil) ) ) (defun cafeobj-kb7-indent-nr (n) "inserts n blank spaces" (let ( (m n) ) (while (/= m 0) (insert " ") (setq m (- m 1))) )) ; This section of the code also sets up a local keymode, within which the ; TAB key can be redefined. (defconst cafeobj-kb7-keywords-for-TAB '("op" "ops" "bop" "pred" "bops" "bpred" "imports" "protecting" "pr" "extending" "ex" "using" "us" "signature" "axioms" "var" "vars" "eq" "cq" "ceq" "bq" "beq" "bcq" "bceq" "trans" "trns" "ctrans" "ctrns" "btrans" "btrns" "bctrans" "bctrns" "class" "record" "attr" "view" "sort" "hsort" "psort" "principal-sort" "let" "red" "reduce" "input" "in" "execute" "exec" "make" "apply" "start" "match" "parse" "select" "set" "show" "describe" "sh" "choose" "open" "close" "desc" "eof" "require" "provide" "mod" "mod!" "mod*" "module" "module!" "module*" "if" ":" "->" "=" "=>" "<" "." "[" "]" "*[" "]*" "{" "}" "(" ")") "OBJ keywords to be found by cafeobj-kb7-scan-forward (TAB key)") ;;; If the file is being loaded for the 1st time, cafeobj-mode-map ;;; will be nil: set it to a new keymap and define the TAB key in ;;; it. Otherwise, use the existing one. ;;; (if cafeobj-mode-map () ;else (setq cafeobj-mode-map (make-sparse-keymap))) (define-key cafeobj-mode-map "\t" 'cafeobj-kb7-scan-forward) (defun cafeobj-kb7-strings-to-re (strings) "converts a list of strings into a regular expression which matches any one of these strings preceded by space or newline and followed by space, newline, or end-of-file." (let ((main-re (cafeobj-kb7-strings-to-re-1 strings)) ) (concat "\\(^\\| \\)\\(" main-re "\\)\\(\n\\|$\\| \\)" ) )) (defun cafeobj-kb7-strings-to-re-1 (strings) "converts a list of strings s1...sn into the string \\|...\\| ." (mapconcat 'regexp-quote strings "\\|") ) (defvar cafeobj-kb7-keywords-re nil "Regular expression that matches the keywords") ;;; If the file is being loaded for the 1st time, set cafeobj-kb7-keywords-re ;;; to the regular expression corresponding to cafeobj-kb7-keywords. ;;; (if cafeobj-kb7-keywords-re () ;else (setq cafeobj-kb7-keywords-re (cafeobj-kb7-strings-to-re cafeobj-kb7-keywords-for-TAB)) ) (defun cafeobj-kb7-scan-forward () "searches forward for the next OBJ keyword" (interactive) (setq cafeobj-kb7-plural-position nil) (if (cafeobj-kb7-var/op/bop) (if cafeobj-kb7-plural-position (if (< 1 (cafeobj-kb7-sorts-count cafeobj-kb7-plural-position (point))) (cafeobj-kb7-pluralise-1st-keyword) ;else nothing ) ;else (cafeobj-kb7-underscores-agree-arity) ) ;else nothing ) (re-search-forward cafeobj-kb7-keywords-re) ) (defvar cafeobj-kb7-beg-1st-field-current-template nil) (defvar cafeobj-kb7-plural-position nil "the position of the s to be inserted for pluralisation") (defun cafeobj-kb7-var/op/bop () (let* ( (position (cafeobj-kb7-position-of-current-construct)) (beg (+ (length cafeobj-kb7-indent-to) (cafeobj-kb7-beg-position-pair position))) (end (cafeobj-kb7-end-position-pair position)) (keyword (cafeobj-kb7-1st-identif beg end)) (i (cafeobj-kb7-cross-blanks (point) end)) ) (cond ( (null position) nil ) ( (string-equal keyword "var") (setq cafeobj-kb7-plural-position (+ beg (length keyword))) (cafeobj-kb7-next-separator-is-: i) ) ( (or (string-equal keyword "op") (string-equal keyword "bop")) (cond ( (cafeobj-kb7-next-separator-is-: i) (setq cafeobj-kb7-plural-position (+ beg (length keyword))) t ) ( (cafeobj-kb7-next-separator-is--> i) (setq cafeobj-kb7-beg-1st-field-current-template (+ (length keyword) beg 1)) t ) (t nil) ) ) (t nil) ))) (defun cafeobj-kb7-next-separator-is-: (position) (and (char-equal (char-after position) 58) (char-equal (char-after (1+ position)) 32) ) ) (defun cafeobj-kb7-next-separator-is--> (position) (and (char-equal (char-after position) 45) (char-equal (char-after (1+ position)) 62) ) ) (defun cafeobj-kb7-pluralise-1st-keyword () "appends s to 1st keyword of current construct" (let ( (current-point (point)) ) (goto-char cafeobj-kb7-plural-position) (insert "s") (goto-char (1+ current-point)) )) (defun cafeobj-kb7-underscores-agree-arity () (let* ( (underscores-count (cafeobj-kb7-underscores-count cafeobj-kb7-beg-1st-field-current-template)) (nr-of-underscores (car underscores-count)) (position-of-: (cdr underscores-count)) ) (if (/= nr-of-underscores (cafeobj-kb7-sorts-count (1+ position-of-:) (point))) (princ "number of underscores doesnt agree with arity") ) )) (defun cafeobj-kb7-cross-blanks (start end) "crosses a string of blanks starting with position start and up to position end. It returns the 1st non-blank position after the string, or end if it doesn't finish before end" (let ( (i start) ) (while (and (< i end) (char-equal (char-after i) 32)) (setq i (1+ i)) ) i )) (defun cafeobj-kb7-cross-identif (start) "crosses an identifier (i.e., string of non-blank characters). It returns the 1st blank position after the identifier." (let ( (i start) ) (while (not (char-equal (char-after i) 32)) (setq i (1+ i)) ) i )) ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;; (defun cafeobj-kb7-undo () "if the cursor is within one of the templates in cafeobj-kb7-template-markers then delete the corresponding text, and also delete the template from cafeobj-kb7-template-markers." (interactive) (let ( (current-region) ) (if (= (cafeobj-kb7-history-length cafeobj-kb7-template-markers) 0) (princ "no template history left") ;else (setq current-region (cafeobj-kb7-delete-if-satisfies 'cafeobj-kb7-marker-pair-surrounds-point cafeobj-kb7-template-markers) ) ;;; This sets current-region to the 1st marker-pair in ;;; cafeobj-kb7-history-markers which the cursor is inside, ;;; and deletes that ;;; marker-pair from cafeobj-kb7-template-markers. ;;; It will be nil if their is no such marker-pair. (if current-region (delete-region (cafeobj-kb7-marker-pair-beg current-region) (cafeobj-kb7-marker-pair-end current-region)) ;else (princ "template not found") ) ) ) ) (defun cafeobj-kb7-underscores-count (start) "counts the number of underscores from start position to ` : '" (let ( (p start) (n 0) ) (while (not (char-equal (char-after p) 58)) (if (char-equal (char-after p) 95) (setq n (1+ n)) ;else () ) (setq p (1+ p)) ) (cons n p) )) (defun cafeobj-kb7-sorts-count (start end) "counts the number of sorts appearing in the arity of an operation declaration or in a [sub]sort declaration. The arity lies between the marker positions start and end, and the sorts are taken to be separated by blanks" (let ( (i start) (f start) (sort-count 0) ) (while (< i end) (setq f i) (setq i (cafeobj-kb7-cross-identif i)) (if (< f i) (setq sort-count (1+ sort-count)) ) (setq i (cafeobj-kb7-cross-blanks i end)) ) sort-count )) ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;; (defun cafeobj-kb7-marker-pair-new (beg end) "returns a new marker pair ." (cons beg end) ) (defun cafeobj-kb7-marker-pair-beg (pair) "returns the beginning marker from a pair." (car pair) ) (defun cafeobj-kb7-marker-pair-end (pair) "returns the end marker from a pair." (cdr pair) ) (defun cafeobj-kb7-marker-pair-surrounds-point (pair) "true if the cursor lies within the text represented by pair." (if (null pair) nil ;else (and (<= (marker-position (car pair)) (point) ) (< (point) (marker-position (cdr pair)) ) ) ) ) ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;; (defvar cafeobj-kb7-history-bound 50 "bounds the histories. Use same bound for each at present" ) (defun cafeobj-kb7-history-new () "returns a new empty history" (cons 0 nil) ) (defun cafeobj-kb7-history-length (history) "returns the length of history" (car history) ) (defun cafeobj-kb7-history-join (item history) "makes item join the history. If the history is full the element at the front leaves the history. it returns nothing but changes the original history as a side-effect" (let ( (number-of-elements (car history)) (contents (cdr history)) ) (if (= number-of-elements cafeobj-kb7-history-bound) (progn (butlast contents) (setq contents (cons item contents)) ) ;else (setq contents (cons item contents)) (setq number-of-elements (1+ number-of-elements)) ) (setcdr history contents) (setcar history number-of-elements) ) ) (defun cafeobj-kb7-delete-if-satisfies (pred history) "deletes elements from history which satisfy pred" (let ( (contents (cdr history)) (result) ) (if (funcall pred (car contents)) (progn (setq result (car contents)) (setcdr history (cdr history)) (setcar history (- (car history) 1)) result ) ;else (while (and (not (funcall pred (cadr contents))) (cdr contents) ) (setq contents (cdr contents)) ) (if (null (cdr contents)) ; no element present nil ;else (setq result (cadr contents)) (setcdr contents (cddr contents)) (setcar history (- (car history) 1)) result ) ) ) ) (defun cafeobj-kb7-find-marker-pair (stack-of-marker-pairs) "finds the marker pair surrounding the point in a stack of marker pairs" (cond ( (null stack-of-marker-pairs) (princ "template not found") nil ) ( (cafeobj-kb7-marker-pair-surrounds-point (car stack-of-marker-pairs)) (car stack-of-marker-pairs) ) (t (cafeobj-kb7-find-marker-pair (cdr stack-of-marker-pairs)) ) )) (defun cafeobj-kb7-position-of-current-construct () (let* ( (current-template-markers (cafeobj-kb7-find-marker-pair (cdr cafeobj-kb7-template-markers))) ) (if current-template-markers (cons (marker-position (cafeobj-kb7-marker-pair-beg current-template-markers)) (marker-position (cafeobj-kb7-marker-pair-end current-template-markers)) ) ;else nothing ) )) (defun cafeobj-kb7-beg-position-pair (pair) (car pair) ) (defun cafeobj-kb7-end-position-pair (pair) (cdr pair) ) ; SOME USEFUL FUNCTIONS NOT AVAILABLE IN ELISP ; -------------------------------------------- (defun cddr (list) "usual lisp function" (cdr (cdr list)) ) (defun cdddr (list) "usual lisp function" (cdr (cddr list)) ) (defun cadr (list) "usual lisp function" (car (cdr list)) ) (defun caar (list) "usual lisp function" (car (car list)) ) (defun cadar (list) "usual lisp function" (car (cdr (car list))) ) (defun caadr (list) "usual lisp function" (car (car (cdr list))) ) (defun cadadr (list) "usual lisp function" (car (cdr (car (cdr list)))) ) (defun butlast (list) "removes last element in list as a side-effect, and returns nothing. This is apparently unavailable in Elisp" (let ( (a list) ) (if (and a (cdr a)) (progn (while (cddr a) (setq a (cdr a)) ) (setcdr a nil) ) ;else nil ) ) ) ;;; Initialisations ;;; --------------- ;;; ;;; Some variables have to be set to values returned from various ADT ;;; functions. Since this can't be done until the functions are defined, ;;; which is near the end of the file, we put the initialisations right ;;; at the end, here. ;;; (setq cafeobj-kb7-template-markers (cafeobj-kb7-history-new)) (provide 'cafeobj-mode) ;; Local Variables: ;; folded-file: t ;; End: ;;; cafeobj-mode.el ends here cafeobj-1.5.4/elisp/cafeobj-mode.el0000644000000000000000000027341412605345045015600 0ustar rootroot;;; cafeobj-mode.el --- CafeOBJ code editing and Interaction with ;;; CafeOBJ interpreter. ;;; ;;; Copyright (c) 2000-2014, Toshimi Sawada. All rights reserved. ;;; ;;; Redistribution and use in source and binary forms, with or without ;;; modification, are permitted provided that the following conditions ;;; are met: ;;; ;;; * Redistributions of source code must retain the above copyright ;;; notice, this list of conditions and the following disclaimer. ;;; ;;; * Redistributions in binary form must reproduce the above ;;; copyright notice, this list of conditions and the following ;;; disclaimer in the documentation and/or other materials ;;; provided with the distribution. ;;; ;;; THIS SOFTWARE IS PROVIDED BY THE AUTHOR 'AS IS' AND ANY EXPRESSED ;;; OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED ;;; WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ;;; ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY ;;; DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL ;;; DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE ;;; GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS ;;; INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, ;;; WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING ;;; NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS ;;; SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. ;;; ;;; Keywords: cafeobj chaos languages processes tools ;;; ;;; BRIEF DESCRIPTION: ;;; CafeOBJ-mode supports formatting CafeOBJ source codes and sending of ;;; declarations/regions/files to a CafeOBJ interpreter. An interpreter ;;; (see variable `cafeobj-default-application') will be started if you try ;;; to send some code and none is running. You can use the process-buffer ;;; (named after the application you chose) as if it were an ;;; interactive shell. See the documentation for `comint.el' for ;;; details. ;;; *NOTE* : This mode supports Chaos with CafeOBJ syntax only. ;;; ====== DESCRIPTION ========================================================= ;;; ;;; USAGE: ;;; The following statements, placed in your .emacs file or ;;; site-init.el, will cause this file to be autoloaded, and ;;; cafeobj-mode invoked, when visiting .mod files (assuming this file is ;;; in your load-path): ;;; ;;; (autoload 'cafeobj-mode "cafeobj-mode" "CafeOBJ mode." t) ;;; (setq auto-mode-alist ;;; (cons '("\\.mod$" . cafeobj-mode) auto-mode-alist)) ;;; ;;; and, also the following is handy for running CafeOBJ interpreter: ;;; ;;; (autoload 'cafeobj "cafeobj-mode" "Run CafeOBJ interpreter." t) ;;; ;;; If you want font-lock support for CafeOBJ source code (a.k.a. syntax ;;; coloring, highlighting), add this to your .emacs file: ;;; (cond ((string-match "XEmacs\\Lucid" emacs-version) ;;; ;; XEmacs ;;; (add-hook 'cafeobj-mode-hook 'turn-on-font-lock)) ;;; (t ;; FSF19.XX, assumes the version better than 19.28.. ;;; (add-hook 'cafeobj-mode-hook (function ;;; (lambda () (font-lock-mode 1)))))) ;;; ;;; Notes on FONT-LOCK: ;;; You better be sure you're version of Emacs supports ;;; font-lock-mode! As of this writing, the latest Emacs and XEmacs ;;; 19's do. This file is known to be run on Emacs19.28(Mule 2.3), and ;;; XEmacs(20.02). ;;; ;;; KEY BINDINGS: ;;; To see all the keybindings for folding mode, look at `cafeobj-setup-keymap' ;;; or start `cafeobj-mode' and type `\C-h m'. ;;; The keybindings are defined with prefixed by 'cafeobj-prefix-key', ;;; the default for `cafeobj-prefix-key' is `\C-c', which is the conventional ;;; prefix for major-mode commands. ;;; You can customise the keybindings either by setting `choas-prefix-key' ;;; or by putting the following in your .emacs ;;; (setq cafeobj-mode-map (make-sparse-keymap)) ;;; and ;;; (define-key cafeobj-mode-map ) ;;; for all the functions you need. ;;; ;;; ABBREV-MODE: ;;; CafeOBJ mode provides a mode-specific abbrev table 'cafeobj-mode-abbrev-table', ;;; and there defined some abbriviations already. ;;; You can use abbrev by `M-x abbrev-mode' or putting the following in your ;;; .emacs ;;; (add-hook 'cafeobj-mode-hook (function (lambda () (abbrev-mode 1)))) ;;; ;;; The predefined abbribiations are minimum, these are derived from my own ;;; experience. I want these definitions to be useful for most of the users, ;;; but ofcourse, you may feel it does not match to your taste. In that case, ;;; add your own definitions for preventing my deinitions. ;;; To edit the entire table, `M-x edit-abbrevs' and `M-x write-abbrev-file' ;;; are handy. Here is an example of adding some extra abbreviations: ;;; I want the following abbreviations: ;;; "mod" -> "module" ;;; "mod*" -> "module*" ;;; "mod!" -> "module!" ;;; "obj" -> "module!" ;;; "th" -> "module*" ;;; For this, we can use `M-x edit-abbrevs' and adds the above definitions in ;;; cafeobj-abbrev-table like this: ;;; ;;; (cafeobj-mode-abbrev-table) ;;; ;;; "mod" 0 "module" ;;; "m*" 0 "module* " ;;; "m!" 0 "module! " ;;; "obj" 0 "module!" ;;; "th" 0 "module*" ;;; "comm" 0 "commutative" ;;; : ;;; : ;;; After editting, type `C-c C-c'(M-x edit-abbrevs-redefine) to install ;;; abbrev definitions as specified. ;;; Then use `M-x write-abbrev-file' specifying ~/.abbrev_defs to ;;; the target file name, and adds a line in my .emacs ;;; (read-abbrev-file "~/.abbrev_defs"). ;;; See Emacs manual of Infos for detail. ;;; ;;; CUTOMIZABLE VARIABLES: ;;; You may want to customize the following variables, see the comment strings ;;; for the descriptions of these variables. ;;; ;;; cafeobj-always-show ;;; cafeobj-mode-map ;;; cafeobj-prefix-key ;;; cafeobj-mode-hook ;;; cafeobj-default-application ;;; cafeobj-default-command-switches ;;; cafeobj-decl-keyword-face ;;; cafeobj-keyword-face ;;; cafeobj-command-face ;;; cafeobj-comment-face ;;; cafeobj-indent-level ;;; cafeobj-brace-imaginary-offset ;;; cafeobj-brace-offset ;;; cafeobj-psort-indent ;;; cafeobj-continued-statement-offset ;;; cafeobj-continued-brace-offset ;;; ;;; see document strings for some brief description of each variable. ;;; (require 'comint) (require 'custom) (require 'font-lock) (require 'abbrev) (require 'imenu) (defgroup cafeobj nil "CafeOBJ code editting." :group 'unix :group 'languages) ;;; ----------------------- ;;; Customizable variables _____________________________________________________ ;;; ----------------------- (defcustom cafeobj-always-show t "*Non-nil means display cafeobj-process-buffer after sending a command." :type 'boolean :group 'cafeobj) (defcustom cafeobj-prefix-key "\C-c" "Prefix for all cafeobj-mode commands." :type 'string :group 'cafeobj) (defcustom cafeobj-mode-hook nil "*Hook called when CafeOBJ mode fires up." :type 'hook :group 'cafeobj) (defcustom cafeobj-default-application "/usr/local/bin/cafeobj" "Default Chaos dialect to run in chaos subprocess." :type 'string :group 'cafeobj) (defcustom cafeobj-application-name "cafeobj" "Default name of Chaos dialect ") (defcustom cafeobj-default-command-switches nil "Command switches for `cafeobj-default-application'. Should be a list of strings which will be given to the cafeobj process when star up." :group 'cafeobj) ;;; simple imenu support (defcustom cafeobj-imenu-generic-expression-alist '(("Modules" "^mod.* \\(\\w+\\b\\)" 1) ("Vars" "var.* \\(\\w+\\b\\):" 1) ) "Alist of regular expressions for the imode index. Each element form (submenu-name regexp index). Where submenu-name is the name of the submenu under which items matching regexp are placed. When submenu-name is nil the matching entries appear in the root imenu list. Regexp idex indicates which regexp text group defines the text entry. When the index is 0 the entire :text that matches regexp appers." :type '(repeat (list (choice :tag "Submenu Name" string (const nil)) regexp (integer :tag "Regexp index"))) :group 'cafeobj ) (add-hook 'cafeobj-mode-hook (lambda () (setq imenu-generic-expression cafeobj-imenu-generic-expression-alist))) ;;; FACES for CafeOBJ/CafeOBJ-Process (defgroup cafeobj-faces nil "CafeOBJ faces." :group 'cafeobj) (defface cafeobj-comment-face-1 '((((class color) (background dark)) (:foreground "DarkKhaki")) (((class color) (background light)) (:foreground "chocolate")) (((class grayscale) (background light)) (:foreground "DimGray" :bold t :italic t)) (((class grayscale) (background dark)) (:foreground "LightGray" :bold t :italic t)) (t (:bold t))) "Face used to highlight comments." :group 'cafeobj-faces) (defface cafeobj-comment-face-2 '((((class color) (background dark)) (:foreground "honeydew3")) (((class color) (background light)) (:foreground "blue4")) (((class grayscale) (background light)) (:foreground "DimGray" :bold t :italic t)) (((class grayscale) (background dark)) (:foreground "LightGray" :bold t :italic t)) (t (:bold t))) "Face used to highlight comments." :group 'cafeobj-faces) (defface cafeobj-string-face '((((class color) (background dark)) (:foreground "goldenrod")) (((class color) (background light)) (:foreground "green4")) (((class grayscale) (background light)) (:foreground "DimGray" :italic t)) (((class grayscale) (background dark)) (:foreground "LightGray" :italic t)) (t (:bold t))) "CafeOBJ face used to highlight strings." :group 'cafeobj-faces) (defface cafeobj-string-face-2 '((((class color) (background dark)) (:foreground "dark khaki")) (((class color) (background light)) (:foreground "green4")) (t (:bold t))) "CafeOBJ face used to highlight strings." :group 'cafeobj-faces) (defface cafeobj-keyword-face '((((class color) (background dark)) (:foreground "DarkSeaGreen3")) (((class color) (background light)) (:foreground "red4")) (((class grayscale) (background light)) (:foreground "LightGray" :bold t)) (((class grayscale) (background dark)) (:foreground "DimGray" :bold t)) (t (:bold t))) "CafeOBJ face used to highlight keywords." :group 'cafeobj-faces) (defface cafeobj-decl-keyword-face '((((class color) (background dark)) (:foreground "LightGoldenrod3" :background "DimGray")) (((class color) (background light)) (:foreground "LightGoldenrod3" :background "DimGray")) (((class grayscale) (background light)) (:foreground "LightGray":bold t)) (((class grayscale) (background dark)) (:foreground "DimGray" :bold t)) (t (:bold t))) "CafeOBJ face used to highlight keywords." :group 'cafeobj-faces) (defface cafeobj-command-name-face '((((class color) (background dark)) (:foreground "LightSkyBlue1")) (((class color) (background light)) (:foreground "brown4")) (t (:bold t :underline t))) "CafeOBJ face used to highlight command names." :group 'cafeobj-faces) (defface cafeobj-message-1-face '((((class color) (background dark)) (:foreground "LightGoldenrod1" :background "DimGray")) (((class color) (background light)) (:foreground "LightGoldenrod1" :background "DimGray")) (((class grayscale) (background light)) (:foreground "Gray90" :bold t :italic t)) (((class grayscale) (background dark)) (:foreground "DimGray" :bold t :italic t)) (t (:underline t))) "CafeOBJ face used to highlight message type 1." :group 'cafeobj-faces) (defface cafeobj-message-2-face '((((class color) (background dark)) (:foreground "LightGoldenrod3")) (((class color) (background light)) (:foreground "steelblue")) (((class grayscale) (background light)) (:foreground "Gray90" :bold t)) (((class grayscale) (background dark)) (:foreground "DimGray" :bold t)) (t (:bold t))) "CafeOBJ face used to highlight message type 2." :group 'cafeobj-faces) (defface cafeobj-message-3-face '((((class color) (background dark)) (:foreground "IndianRed1")) (((class color) (background light)) (:foreground "IndianRed3")) (((class grayscale) (background light)) (:foreground "Gray90" :bold t)) (((class grayscale) (background dark)) (:foreground "DimGray" :bold t)) (t (:bold t))) "CafeOBJ face used to hightliht message type 3." :group 'cafeobj-face) ;;; INDENTATION CONTROL (defcustom cafeobj-indent-level 2 "*Indentation of CafeOBJ statements with respect to containing block." :type 'integer :group 'cafeobj) (defcustom cafeobj-brace-imaginary-offset 0 "*Imagined indentation of a CafeOBJ open brace that actually follows a statement." :type 'integer :group 'cafeobj) (defcustom cafeobj-brace-offset 0 "*Extra indentation for braces, compared with other text in same context." :type 'integer :group 'cafeobj) (defcustom cafeobj-psort-indent 5 "*Indentation level of principal-sort declaration of CafeOBJ." :type 'integer :group 'cafeobj) (defcustom cafeobj-continued-statement-offset 2 "*Extra indent for lines not starting new statements." :type 'integer :group 'cafeobj) (defcustom cafeobj-continued-brace-offset 0 "*Extra indent for substatements that start with open-braces. This is in addition to cafeobj-continued-statement-offset." :type 'integer :group 'cafeobj) ;;; --------------------------------- ;;; globals for internal use only.... ;;; --------------------------------- (defvar cafeobj-mode-map nil "Keymap used with CafeOBJ editting mode.") (defvar cafeobj-process nil "The active CafeOBJ subprocess corresponding to current buffer.") (defvar cafeobj-process-buffer nil "Buffer used for communication with CafeOBJ subprocess for current buffer.") (defvar cafeobj-region-start (make-marker) "Start of special region for CafeOBJ communication.") (defvar cafeobj-region-end (make-marker) "End of special region for CafeOBJ communication.") ;;; ----------------- ;;; Portability stuff___________________________________________________________ ;;; ----------------- (defconst cafeobj-xemacs-p (string-match "XEmacs\\|Lucid" emacs-version)) (defmacro cafeobj-define-key (fsf-key definition &optional xemacs-key) `(define-key cafeobj-mode-map ,(if xemacs-key `(if cafeobj-xemacs-p ,xemacs-key ,fsf-key) fsf-key) ,definition)) (defvar del-back-ch (car (append (where-is-internal 'delete-backward-char) (where-is-internal 'backward-delete-char-untabify))) "Character generated by key bound to delete-backward-char.") (and (vectorp del-back-ch) (= (length del-back-ch) 1) (setq del-back-ch (aref del-back-ch 0))) ;;;--------------------------- ;;; CafeOBJ Keywords/Commands __________________________________________________ ;;; essential syntactic structures are defined here. ;;;--------------------------- (defconst cafeobj-comment-pat-1 "[ \t]*\\*\\*>?[ \t]+.*$") (defconst cafeobj-comment-pat-2 "[ \t]*-->?[ \t]+.*$") (defconst cafeobj-comment-pat-3 "[ \t]*\\*\\*?[ \t]+.*$") (defconst cafeobj-comment-pat-4 "[ \t]*--?[ \t]+.*$") (defun looking-at-cafeobj-comment-pat () (or (looking-at cafeobj-comment-pat-1) (looking-at cafeobj-comment-pat-2) (looking-at cafeobj-comment-pat-3) (looking-at cafeobj-comment-pat-4))) (defconst cafeobj-keywords-1 '("op" "ops" "sort" "hsort" ; "[" ; "]" ; "*[" ; "]*" "bop" "pred" "bops" "#define" "bpred" "var" "vars" "eq" "cq" "ceq" "bq" "beq" "bcq" "bceq" "trans" "trns" "rl" "crl" "ctrans" "ctrns" "btrans" "btrns" "bctrans" "bctrns" "class" "record" "attr" "view" "sort" "hsort" "psort" "principal-sort" "ax" "fax" "protecting" "pr" "extending" "ex" "using" "us" "including" "inc" "goal" ) "keywords appearing inside module declaration or view declaration." ) (defconst cafeobj-keyword-pat-1 (concat "^[ \t]*\\(" (regexp-opt cafeobj-keywords-1) "\\)\\>")) (defconst cafeobj-keywords-2 '("imports" "signature" "axioms" ) "keywords 2." ) (defconst cafeobj-keyword-pat-2 (if cafeobj-xemacs-p ;; (concat "^[ \t]*" (regexp-opt cafeobj-keywords-2 t t) "\\>") (concat "^[ \t]*" (regexp-opt cafeobj-keywords-2 ) "\\>") (concat "^[ \t]*\\(" (regexp-opt cafeobj-keywords-2) "\\)\\>"))) (defconst cafeobj-keyword-pat-3 "\\(^[ \t]*\\*?\\[ \\| \\]\\*?\\)") (defconst cafeobj-keyword-pat-4 (concat "[ \t]*" (regexp-opt '("sort" "hsort" "bop" "op" "if" "then" "else" "fi" ".")) "\\>")) (defun looking-at-cafeobj-keyword-pat () (or (looking-at cafeobj-keyword-pat-1) (looking-at cafeobj-keyword-pat-2) (looking-at cafeobj-keyword-pat-3) (looking-at cafeobj-keyword-pat-4))) (defconst cafeobj-commands-1 '("let" "red" "reduce" "bred" "breduce" "cbred" "input" "in" "execute" "exec" "make" "apply" "start" "match" "unify" "parse" "select" "set" "show" "describe" "sh" "tram" "check" "choose" "open" "close" "desc" "eof" "protect" "unprotect" "require" "provide" "resolve" "full" "reset" "option" "db" "sos" "passive" "save-option" "sigmatch" "list" "flag" "param" "lex" "name" "names" "look" "inspect" "inspect-term" ":goal" ":apply" ":auto" ":ind" ":init" ":cp" ":ctf" ":csp" ":show" ":describe" ":verbose" ":backward" ":equation" ":rule" ":select" ) "CafeOBJ top-level commands") (defconst cafeobj-command-pat-1 (concat "^[ \t]*\\(" (regexp-opt cafeobj-commands-1) "\\)\\>")) (defun looking-at-cafeobj-command-pat () (looking-at cafeobj-command-pat-1)) (defconst cafeobj-top-keywords (append cafeobj-keywords-1 cafeobj-commands-1) "CafeOBJ keyowrds may apper at top-level.") (defun looking-at-cafeobj-top-keywords () (looking-at cafeobj-top-keywords)) (defconst cafeobj-top-key-pat (concat "^\\<\\(" (regexp-opt cafeobj-top-keywords) "\\)\\>")) (defconst cafeobj-top-decl-pat (concat "^[ \t]*\\(" "module\\|module\\*\\|mod\\*\\|module\\|mod\\|module!\\|mod!\\|view\\|hwd:mod!\\|sys:mod!" "\\)\\>")) (defun looking-at-cafeobj-top-decl () (looking-at cafeobj-top-decl-pat)) (defconst cafeobj-block-start-pat (concat "[ \t]*" (regexp-opt '("signature" "axioms" "imports" "record" "class") t) "\\>")) (defun looking-at-cafeobj-block-start-pat () (looking-at cafeobj-block-start-pat)) (defun looking-at-cafeobj-module-decl () (looking-at (concat "^\\<\\(" (regexp-opt '("module" "mod" "module*" "mod*" "module!" "mod!")) "\\)\\>"))) (defun looking-at-cafeobj-view-decl () (looking-at "^\\")) ;;;---------- ;;; FONT-LOCK___________________________________________________________________ ;;;---------- (defun get-cafeobj-face (name) (identity name)) (defvar cafeobj-font-lock-keywords nil "Expressions to highlight in CafeOBJ mode.") (setq cafeobj-font-lock-keywords (list ;; comments (list cafeobj-comment-pat-1 0 'cafeobj-comment-face-1 nil) (list cafeobj-comment-pat-2 0 'cafeobj-comment-face-2 nil) ;; keywords (cons cafeobj-keyword-pat-1 'cafeobj-keyword-face) (list cafeobj-keyword-pat-2 1 'cafeobj-decl-keyword-face) (cons cafeobj-keyword-pat-3 'cafeobj-keyword-face) ;; commands (cons cafeobj-command-pat-1 'cafeobj-command-name-face) ;; module/view (list cafeobj-top-decl-pat 1 'cafeobj-decl-keyword-face) ;; declaration appering at the top level. (cons cafeobj-top-key-pat 'cafeobj-keyword-face) )) (put 'cafeobj-mode 'font-lock-defaults '(cafeobj-font-lock-keywords t)) ;;; ------------- ;;; MENU SUPPORTS_______________________________________________________________ ;;; ------------- ;; For XEmacs (defvar cafeobj-mode-popup-menu nil) (defvar cafeobj-mode-menubar-menu nil) ;; For FSF19 (defvar cafeobj-mode-menu nil "Keymap for cafeobj-mode's menu.") (cond (cafeobj-xemacs-p (setq cafeobj-mode-popup-menu (purecopy '("CafeOBJ Interaction Menu" ["Evaluate This Declaration" cafeobj-send-decl t] ["Evaluate Current Line" cafeobj-send-line t] ["Evaluate Entire Buffer" cafeobj-send-buffer t] ["Evaluate Region" cafeobj-send-region (region-exists-p)] "---" ["Comment Out Region" comment-region (region-exists-p)] ["Indent Region" indent-region (region-exists-p)] ["Indent Line" cafeobj-indent-line t] ["Beginning of Declaration" cafeobj-beginning-of-decl t] ))) (setq cafeobj-mode-menubar-menu (purecopy (cons "CafeOBJ" (cdr cafeobj-mode-popup-menu))))) (t ;; (setq cafeobj-mode-menu (make-sparse-keymap "CafeOBJ")) (define-key cafeobj-mode-menu [cafeobj-send-line] '("Evaluate Current Line" . cafeobj-send-line)) (define-key cafeobj-mode-menu [cafeobj-send-region] '("Evaluate Cafeobj-Region" . cafeobj-send-region)) (define-key cafeobj-mode-menu [cafeobj-send-proc] '("Evaluate This Declaration" . cafeobj-send-decl)) (define-key cafeobj-mode-menu [cafeobj-send-buffer] '("Send Buffer" . cafeobj-send-buffer)) (define-key cafeobj-mode-menu [cafeobj-beginning-of-decl] '("Beginning Of Proc" . cafeobj-beginning-of-decl)) (define-key cafeobj-mode-menu [comment-region] '("Comment Out Region" . comment-region)) (define-key cafeobj-mode-menu [indent-region] '("Indent Region" . indent-region)) (define-key cafeobj-mode-menu [cafeobj-indent-line] '("Indent Line" . cafeobj-indent-line)) (define-key cafeobj-mode-menu [cafeobj-beginning-of-decl] '("Beginning of Declaration" . cafeobj-beginning-of-decl)) )) ;;; ------------ ;;; CafeOBJ Mode________________________________________________________________ ;;; ------------ (defvar cafeobj-mode-abbrev-table nil "Abbrev table in use in CafeOBJ mode.") ;;; se use extended abbriv (autoload 'expand-abbrev-hook "expand") ;;; some default abbreviations define here (if cafeobj-mode-abbrev-table nil (define-abbrev-table 'cafeobj-mode-abbrev-table '(;; top level declaration ("mod" ["module {\n\n}\n" 5 () nil] expand-abbrev-hook 0) ("pmod" ["module () {\n\n}\n" 8 () nil] expand-abbrev-hook 0) ("vw" ["view {\n\n}\n" 5 () nil] expand-abbrev-hook 0) ("mk" ["make ()" 3 () nil] expand-abbrev-hook 0) ;; module constructs ("ps" "pricipal-sort" nil 0) ;; imports ("imp" ["imports {\n\n}\n" 3 () nil] expand-abbrev-hook 0) ("pr" ["protecting()" 1 () nil] expand-abbrev-hook 0) ("pa" ["protecting as ()" 3 () nil] expand-abbrev-hook 0) ("ex" ["extending()" 1 () nil] expand-abbrev-hook 0) ("ea" ["extending as ()" 2 () nil] expand-abbrev-hook 0) ("us" ["using()" 1 () nil] expand-abbrev-hook 0) ("ua" ["using as ()" 2 () nil] expand-abbrev-hook 0) ("inc" ["including()" 1 () nil] expand-abbrev-hook 0) ("ias" ["including as ()" 2 () nil] expand-abbrev-hook 0) ;; signature ("sig" ["signature {\n\n}\n" 3 () nil] expand-abbrev-hook 0) ;; sort declarations ("[" ["[]" 1 () nil] expand-abbrev-hook 0) ("*[" ["*[]*" 2 () nil] expand-abbrev-hook 0) ;; operator declaration ("ope" ["op : -> ." 10 () nil] expand-abbrev-hook 0) ("opt" ["op : -> {} ." 12 () nil] expand-abbrev-hook 0) ("ops" ["ops : -> ." 9 () nil] expand-abbrev-hook 0) ("pred" ["pred : ." 4 () nil] expand-abbrev-hook 0) ;; operator attributes ("str" ["strat: ()" 1 () nil] expand-abbrev-hook 0) ("ctr" "ctor" nil 0) ("ra" "r-assoc" nil 0) ("la" "l-assoc" nil 0) ("pre" "prec:" nil 0) ("ass" "assoc" nil 0) ("com" "comm" nil 0) ;; axiom ("axi" ["axioms {\n\n}\n" 3 () nil] expand-abbrev-hook 0) ("bt" ["btrans => ." 7 () nil] expand-abbrev-hook 0) ("bct"["bctrans => if ." 10 () nil] expand-abbrev-hook 0) ("ctr" ["ctrans => if ." 10 () nil] expand-abbrev-hook 0) ("tr" ["trans => ." 7 () nil] expand-abbrev-hook 0) ("eq" ["eq = ." 7 () nil] expand-abbrev-hook 0) ("cq" ["ceq = if ." 10 () nil] expand-abbrev-hook 0) ("bq" ["beq = ." 7 () nil] expand-abbrev-hook 0) ("bcq" ["bceq = if ." 10 () nil] expand-abbrev-hook 0) ("var" ["var : " 3 () nil] expand-abbrev-hook 0) ("vars" ["vars : " 3 () nil] expand-abbrev-hook 0) ;; commands ("ch" "check" nil 0) ("comp" "compatibility " nil 0) ("reg" "regularity " nil 0) ("red" ["reduce ." 2 () nil] expand-abbrev-hook 0) ("rin" ["reduce in : ." 5 () nil] expand-abbrev-hook 0) ("exe" ["execute ." 2 () nil] expand-abbrev-hook 0) ("ein" ["execute in : ." 5 () nil] expand-abbrev-hook 0) ("par" ["parse ." 2 () nil] expand-abbrev-hook 0) ("parse" ["parse ." 2 () nil] expand-abbrev-hook 0) ("pin" ["parse in : ." 5 () nil] expand-abbrev-hook 0) ("sh" "show" nil 0) ("des" "describe " nil 0) ("regu" "regualize " nil 0) ("verb" "verbose" nil 0) ("sw" "switch" nil 0) ("sws" "switches" nil 0) ("req" "require" nil 0) ("prov" "provide" nil 0) ("sel" ["select ." 2 () nil] expand-abbrev-hook 0) ;; CITP (":goal" [":goal {}" 1 () nil] expand-abbrev-hook 0) (":go" [":goal {}" 1 () nil] expand-abbrev-hook 0) (":apply" [":apply ()" 1 () nil] expand-abbrev-hook 0) (":app" [":apply ()" 1 () nil] expand-abbrev-hook 0) (":ind" [":ind on ()" 1 () nil] expand-abbrev-hook 0) (":ini" [":init () by { ;}" 9 () nil] expand-abbrev-hook 0) (":inil" [":init [] by { ;}" 9 () nil] expand-abbrev-hook 0) (":cp" [":cp () >< ()" 7 () nil] expand-abbrev-hook 0) (":cpl" [":cp [] >< []" 7 () nil] expand-abbrev-hook 0) (":eq" ":equation" nil 0) (":rl" ":rule" nil 0) (":bk" ":backward" nil 0) (":vb" ":verbose" nil 0) (":norm" ":normalize" nil 0) (":ctf" [":ctf{}" 1 () nil] expand-abbrev-hook 0) (":csp" [":csp{}" 1 () nil] expand-abbrev-hook 0) (":sh" ":show" nil 0) (":des" ":describe" nil 0) )) ) (defvar cafeobj-mode-syntax-table nil "Syntax table in use in cafeobj-mode buffers.") (if cafeobj-mode-syntax-table () (setq cafeobj-mode-syntax-table (make-syntax-table)) (mapc (function (lambda (x) (modify-syntax-entry (car x) (cdr x) cafeobj-mode-syntax-table))) '((?\( . "()" ) ( ?\) . ")(" ) ;; ( ?\[ . "(]" ) ( ?\] . ")[" ) (?\{ . "(}" ) ( ?\} . "){" ) (?\[ . "w") (?\] . "w") (?\* . "w") ;; underscore etc. is word class ( ?\_ . "w" ) ( ?\# . "w" ) ( ?\! . "w" ) ( ?\$ . "w" ) ( ?\% . "w" ) ( ?\: . "w") ( ?\" . "\"" ) ; double quote is string quote too ( ?\n . ">")) )) (defvar mode-popup-menu) ;only for XEmacs (defun cafeobj-mode () "Major mode for editing CafeOBJ programs. The following keys are bound: \\{cafeobj-mode-map} " (interactive) (let (s) (kill-all-local-variables) (setq major-mode 'cafeobj-mode) (setq mode-name "CafeOBJ") ;; keymap (or cafeobj-mode-map (cafeobj-setup-keymap)) (use-local-map cafeobj-mode-map) ;; abbrev (setq local-abbrev-table cafeobj-mode-abbrev-table) ;; settting menu. (if cafeobj-xemacs-p (setq mode-popup-menu cafeobj-mode-popup-menu) (progn (define-key cafeobj-mode-map [menu-bar cafeobj-mode] (cons "CafeOBJ" cafeobj-mode-menu)))) ;; (set (make-local-variable 'cafeobj-process) nil) (set (make-local-variable 'cafeobj-process-buffer) nil) (make-local-variable 'cafeobj-default-command-switches) ;; (cond (cafeobj-xemacs-p (make-local-variable 'font-lock-defaults)) (t (set (make-local-variable 'font-lock-keywords) cafeobj-font-lock-keywords))) ;; (make-local-variable 'font-lock-defaults) (setq font-lock-defaults '(cafeobj-font-lock-keywords t)) ;; (set (make-local-variable 'indent-line-function) 'cafeobj-indent-line) (set (make-local-variable 'comment-start) "-- ") ; obsolate? ... should be fixed. ;; todo -- (set (make-local-variable 'comment-start-skip) "\\(\\(^\\|;\\)[ \t]*\\)--") ;; syntax------- (set-syntax-table cafeobj-mode-syntax-table) ;; (modify-syntax-entry ?# "<") (modify-syntax-entry ?\n ">") ;; (make-local-variable 'require-final-newline) (setq require-final-newline t) ;; (setq comment-column 32) (make-local-variable 'comment-start-skip) (make-local-variable 'parse-sexp-ignore-comments) (setq parse-sexp-ignore-comments t) ;; look for a #!.../cafeobj -f line at bob (save-excursion (goto-char (point-min)) (if (looking-at "#![ \t]*\\([^ \t]*\\)[ \t]\\(.*[ \t]\\)-f") (progn (set (make-local-variable 'cafeobj-application-name) (buffer-substring (match-beginning 1) (match-end 1))) (if (match-beginning 2) (progn (goto-char (match-beginning 2)) (set (make-local-variable 'cafeobj-default-command-switches) nil) (while (< (point) (match-end 2)) (setq s (read (current-buffer))) (if (<= (point) (match-end 2)) (setq cafeobj-default-command-switches (append cafeobj-default-command-switches (list (prin1-to-string s))))))))) ;; if this fails, look for the #!/bin/csh ... exec hack (while (eq (following-char) ?#) (forward-line 1)) (or (bobp) (forward-char -1)) (if (eq (preceding-char) ?\\) (progn (forward-char 1) (if (looking-at "exec[ \t]+\\([^ \t]*\\)[ \t]\\(.*[ \t]\\)*-f") (progn (set (make-local-variable 'cafeobj-application-name) (buffer-substring (match-beginning 1) (match-end 1))) (if (match-beginning 2) (progn (goto-char (match-beginning 2)) (set (make-local-variable 'cafeobj-default-command-switches) nil) (while (< (point) (match-end 2)) (setq s (read (current-buffer))) (if (<= (point) (match-end 2)) (setq cafeobj-default-command-switches (append cafeobj-default-command-switches (list (prin1-to-string s))))))))) ))))) ;; ;; (if (and (featurep 'menubar) ;; current-menubar) ;; (progn ;; ;; make a local copy of the menubar, so our modes don't ;; ;; change the global menubar ;; (set-buffer-menubar current-menubar) ;; (add-submenu nil cafeobj-mode-menubar-menu))) ;; (run-hooks 'cafeobj-mode-hook))) ;;; -------------------- ;;; Default Key Bindings________________________________________________________ ;;; -------------------- (defun cafeobj-setup-keymap () "Set up keymap for cafeobj mode. If the variable `cafeobj-prefix-key' is nil, the bindings go directly to `cafeobj-mode-map', otherwise they are prefixed with `cafeobj-prefix-key'." (setq cafeobj-mode-map (make-sparse-keymap)) ;; (let ((map (if cafeobj-prefix-key (make-sparse-keymap) cafeobj-mode-map))) ;; indentation (define-key cafeobj-mode-map [?}] 'cafeobj-electric-brace) ;; communication (define-key map "l" 'cafeobj-send-line) (define-key map "e" 'cafeobj-send-decl) (define-key map "r" 'cafeobj-send-region) (define-key map "b" 'cafeobj-send-buffer) (define-key map "[" 'cafeobj-beginning-of-decl) (define-key map "]" 'cafeobj-end-of-decl) (define-key map "q" 'cafeobj-kill-process) (define-key map "s" 'cafeobj-show-process-buffer) (define-key map "h" 'cafeobj-hide-process-buffer) ;; (if cafeobj-prefix-key (define-key cafeobj-mode-map cafeobj-prefix-key map)) )) ;;; ---------------- ;;; CafeOBJ Editting____________________________________________________________ ;;; ---------------- (defconst cafeobj-auto-newline nil "*Non-nil means automatically newline before and after braces, and after colons and semicolons, inserted in CafeOBJ code.") (defconst cafeobj-tab-always-indent t "*Non-nil means TAB in C mode should always reindent the current line, regardless of where in the line point is when the TAB command is used.") (defun cafeobj-electric-brace (arg) "Insert character and correct line's indentation." (interactive "P") (let (insertpos) (if (and (not arg) (eolp) (or (save-excursion (skip-chars-backward " \t") (bolp)) (if cafeobj-auto-newline (progn (cafeobj-indent-line) (newline) t) nil))) (progn ;; (insert last-command-char) (insert last-command-event) (cafeobj-indent-line) (if cafeobj-auto-newline (progn (newline) ;; (newline) may have done auto-fill (setq insertpos (- (point) 2)) (cafeobj-indent-line))) (save-excursion (if insertpos (goto-char (1+ insertpos))) (delete-char -1)))) (if insertpos (save-excursion (goto-char insertpos) (self-insert-command (prefix-numeric-value arg))) (self-insert-command (prefix-numeric-value arg))))) (defun cafeobj-beginning-of-block (&optional arg) "Move backward to the beginning of a CafeOBJ block structure. With argument, do it that many times. Negative arg -N means move forward to Nth following beginning of declaration. Returns t unless search stops due to beginning or end of buffer." (interactive "P") (or arg (setq arg 1)) (let ((found nil) (ret t)) (if (and (< arg 0) (looking-at-cafeobj-block-start-pat)) (forward-char 1)) (while (< arg 0) (if (re-search-forward cafeobj-block-start-pat nil t) (setq arg (1+ arg) found t) (setq ret nil arg 0))) (if found (beginning-of-line)) (while (> arg 0) (if (re-search-backward cafeobj-block-start-pat nil t) (setq arg (1- arg)) (setq ret nil arg 0))) ret)) (defun cafeobj-beginning-of-decl (&optional arg) "Move backward to the beginning of a CafeOBJ top-level decl. With argument, do it that many times. Negative arg -N means move forward to Nth following beginning of declaration. Returns t unless search stops due to beginning or end of buffer." (interactive "P") (or arg (setq arg 1)) (let ((found nil) (ret t)) (if (and (< arg 0) (looking-at-cafeobj-top-decl)) (forward-char 1)) (while (< arg 0) (if (re-search-forward cafeobj-top-decl-pat nil t) (setq arg (1+ arg) found t) (setq ret nil arg 0))) (if found (beginning-of-line)) (while (> arg 0) (if (re-search-backward cafeobj-top-decl-pat nil t) (setq arg (1- arg)) (setq ret nil arg 0))) ret)) (defun cafeobj-end-of-decl (&optional arg) "Move forward to next end of chaos declaration (or similar). With argument, do it that many times. Negative argument -N means move back to Nth preceding end of proc. This function just searches for a `}' at the beginning of a line." (interactive "P") (or arg (setq arg 1)) (let ((found nil) (ret t)) (if (and (< arg 0) (not (bolp)) (save-excursion (beginning-of-line) (eq (following-char) ?}))) (forward-char -1)) (while (> arg 0) (if (re-search-forward "^}" nil t) (setq arg (1- arg) found t) (setq ret nil arg 0))) (while (< arg 0) (if (re-search-backward "^}" nil t) (setq arg (1+ arg) found t) (setq ret nil arg 0))) (if found (end-of-line)) ret)) (defun cafeobj-outline-level () (save-excursion (skip-chars-forward "\t ") (current-column))) (defun cafeobj-inside-parens-p () (condition-case () (save-excursion (save-restriction (narrow-to-region (point) (progn (cafeobj-beginning-of-decl) (point))) (goto-char (point-max)) (= (char-after (or (scan-lists (point) -1 1) (point-min))) ?\())) (error nil))) (defun cafeobj-indent-command (&optional whole-exp) "Indent current line as CafeOBJ code, or in some cases insert a tab character. If `cafeobj-tab-always-indent' is non-nil (the default), always indent current line. Otherwise, indent the current line only if point is at the left margin or in the line's indentation; otherwise insert a tab. A numeric argument, regardless of its value, means indent rigidly all the lines of the expression starting after point so that this line becomes properly indented. The relative indentation among the lines of the expression are preserved." (interactive "P") (if whole-exp ;; If arg, always indent this line as CafeOBJ ;; and shift remaining lines of expression the same amount. (let ((shift-amt (cafeobj-indent-line)) beg end) (save-excursion (if cafeobj-tab-always-indent (beginning-of-line)) ;; Find beginning of following line. (save-excursion (forward-line 1) (setq beg (point))) ;; Find first beginning-of-sexp for sexp extending past this line. (while (< (point) beg) (forward-sexp 1) (setq end (point)) (skip-chars-forward " \t\n"))) (if (> end beg) (indent-code-rigidly beg end shift-amt "#"))) (if (and (not cafeobj-tab-always-indent) (save-excursion (skip-chars-backward " \t") (not (bolp)))) (insert-tab) (cafeobj-indent-line)))) (defun cafeobj-indent-line () "Indent current line as CafeOBJ code. Return the amount the indentation changed by." (let ((indent (calculate-cafeobj-indent nil)) beg shift-amt (case-fold-search nil) (pos (- (point-max) (point)))) (beginning-of-line) (setq beg (point)) (cond ((eq indent nil) (setq indent (current-indentation))) ((eq indent t) (setq indent (current-indentation))) (t (skip-chars-forward " \t") (if (listp indent) (setq indent (car indent))) (cond ((= (following-char) ?}) (setq indent (- indent cafeobj-indent-level))) ((= (following-char) ?{) (setq indent (+ indent cafeobj-brace-offset)))))) (skip-chars-forward " \t") (setq shift-amt (- indent (current-column))) (if (zerop shift-amt) (if (> (- (point-max) pos) (point)) (goto-char (- (point-max) pos))) (delete-region beg (point)) (indent-to indent) ;; If initial point was within line's indentation, ;; position after the indentation. Else stay at same point in text. (if (> (- (point-max) pos) (point)) (goto-char (- (point-max) pos)))) shift-amt)) (defun calculate-cafeobj-indent (&optional parse-start) "Return appropriate indentation for current line as CafeOBJ code. In usual case returns an integer: the column to indent to. Returns nil if line starts inside a string, t if in a comment." (save-excursion (beginning-of-line) (let ((indent-point (point)) (case-fold-search nil) state containing-sexp) (if parse-start (goto-char parse-start) (cafeobj-beginning-of-decl)) (while (< (point) indent-point) (setq parse-start (point)) (setq state (parse-partial-sexp (point) indent-point 0)) (setq containing-sexp (car (cdr state)))) ;; (cond ((or (nth 3 state) (nth 4 state)) ;; return nil or t if should not change this line (nth 4 state)) ; t if inside a comment, else nil. ;; ((null containing-sexp) ; we are at top-level ;; -- TOP-LEVEL------------------------------------------------ ;; Line is at top level. May be module/view declaration or ;; top-level commands. (goto-char indent-point) ; start from original pos. (skip-chars-forward " \t") (cond ((= (following-char) ?{) 0) ((looking-at-cafeobj-top-decl) 0) ((looking-at-cafeobj-comment-pat) (current-column)) (t (cafeobj-backward-to-noncomment (or parse-start (point-min))) ;; Look at previous line that's at column 0 ;; to determine whether we are in top-level decl. (let ((basic-indent (save-excursion (re-search-backward "^[^ \^L\t\n]" nil 'move) (if (and (looking-at-cafeobj-top-decl) (not (progn (condition-case nil (progn (search-forward "\{" parse-start) (forward-list)) (error nil)) (looking-at "\}")))) cafeobj-psort-indent 0)))) basic-indent)))) ;; NON TOPLEVEL ---------------------------------------------- ((and (/= (char-after containing-sexp) ?{) (< (car state) 2)) ;; indent to just after the surrounding open. (goto-char (+ 2 containing-sexp)) (current-column)) ;; WITHIN A BRACE -------------------------------------------- (t (goto-char indent-point) (if (and (not (is-cafeobj-beginning-of-statement)) (progn (cafeobj-backward-to-noncomment containing-sexp) (not (memq (preceding-char) '(0 ?\, ?\} ?\{ ?\. ?\] ?\))))) ;; don't treat a line with a close-brace ;; as a continuation. It is probably the ;; end of a block. (save-excursion (goto-char indent-point) (skip-chars-forward " \t") (not (= (following-char) ?}))) ) ;; This line is continuation of preceding line's statement; ;; indent cafeobj-continued-statement-offset more than the ;; previous line of the statement. (progn (cafeobj-backward-to-start-of-continued-exp containing-sexp) (+ cafeobj-continued-statement-offset (current-column) (if (save-excursion (goto-char indent-point) (skip-chars-forward " \t") (eq (following-char) ?{)) cafeobj-continued-brace-offset 0))) ;; This line starts a new statement. ;; if we are looking at a comment line, leave it as is. (if (progn (goto-char indent-point) (skip-chars-forward " \t") (looking-at-cafeobj-comment-pat)) (current-column) (progn ;; Position following last unclosed open-brace. (goto-char containing-sexp) ;; Is line first statement after an open-brace? (or ;; If no, find that first statement and indent like it. (save-excursion (forward-char 1) (while (progn (skip-chars-forward " \t\n") (looking-at "--[ \t].*\\|\*\*[ \t].*")) (forward-line 1)) ;; The first following code counts ;; if it is before the line we want to indent. (skip-chars-forward " \t\n") (and (< (point) indent-point) (- (current-column) ;; If prev stmt starts with open-brace, that ;; open brace was offset by cafeobj-brace-offset. ;; Compensate to get the column where ;; an ordinary statement would start. (if (= (following-char) ?\{) cafeobj-brace-offset 0)) )) ;; If no previous statement, ;; indent it relative to line brace is on. ;; For open brace in column zero, don't let statement ;; start there too. If cafeobj-indent-level is zero, ;; use cafeobj-brace-offset + ;; cafeobj-continued-statement-offset instead. ;; For open-braces not the first thing in a line, ;; add in cafeobj-brace-imaginary-offset. (+ (if (and (bolp) (zerop cafeobj-indent-level)) (+ cafeobj-brace-offset cafeobj-continued-statement-offset) cafeobj-indent-level) ;; Move back over whitespace before the openbrace. ;; If openbrace is not first nonwhite thing on the line, ;; add the cafeobj-brace-imaginary-offset. (progn (skip-chars-backward " \t") (if (bolp) 0 cafeobj-brace-imaginary-offset)) ;; If the openbrace is preceded by a parenthesized exp, ;; move to the beginning of that; ;; possibly a different line (progn (if (memq (preceding-char) '(?\) \])) (forward-sexp -1)) ;; Get initial indentation of the line we are on. (current-indentation)))))))))))) (defun is-cafeobj-beginning-of-statement () (save-excursion (beginning-of-line) ;; (skip-chars-forward " \t") (or (looking-at-cafeobj-keyword-pat) (looking-at-cafeobj-command-pat)))) (defun cafeobj-backward-to-noncomment (lim) (let (stop) (while (not stop) (skip-chars-backward " \t\n\f" lim) (setq stop (or (<= (point) lim) (save-excursion (beginning-of-line) (skip-chars-forward " \t") (not (looking-at-cafeobj-comment-pat))))) (or stop (beginning-of-line))))) (defun cafeobj-backward-to-start-of-continued-exp (lim) (if (memq (preceding-char) '(?\) ?\" ?\])) (forward-sexp -1)) (beginning-of-line) (if (<= (point) lim) (goto-char (1+ lim))) (skip-chars-forward " \t")) ;;; ----------------------- ;;; RUN CafeOBJ Interpreter_____________________________________________________ ;;; and Interact with it ;;; ----------------------- (defvar cafeobj-prompt-pattern "^[A-Za-z0-9!#$%']+> ") (defgroup cafeobj-process nil "Running CafeOBJ from within Emacs buffers" :group 'processes :group 'unix) (defgroup cafeobj-directories nil "Directory support in CafeOBJ process mode" :group 'cafeobj-process) (defgroup cafeobj-process-faces nil "Faces in CafeOBJ buffers" :group 'cafeobj-process) (defcustom cafeobj-completion-fignore nil "*List of suffixes to be disregarded during file/command completion. This variable is used to initialize `comint-completion-fignore' in the CafeOBJ process buffer. The default is nil. This is a fine thing to set in your `.emacs' file." :type '(repeat (string :tag "Suffix")) :group 'cafeobj-process) (defvar cafeobj-delimiter-argument-list nil ;'(?\| ?& ?< ?> ?\( ?\) ?\; "List of characters to recognise as separate arguments. This variable is used to initialize `comint-delimiter-argument-list' in the CafeOBJ buffer. This is a fine thing to set in your `.emacs' file.") (defvar cafeobj-file-name-chars (if (memq system-type '(ms-dos windows-nt)) "~/A-Za-z0-9_^$!#%&{}@`'.()-" "~/A-Za-z0-9+@:_.$#%,={}-") "String of characters valid in a file name. This variable is used to initialize `comint-file-name-chars' in the CafeOBJ buffer. The value may depend on the operating system. This is a fine thing to set in your `.emacs' file.") (defvar cafeobj-file-name-quote-list (if (memq system-type '(ms-dos windows-nt)) nil (append cafeobj-delimiter-argument-list '(?\ ?\* ?\! ?\" ?\' ?\`))) "List of characters to quote when in a file name. This variable is used to initialize `comint-file-name-quote-list' in the shell buffer. The value may depend on the operating system or shell. This is a fine thing to set in your `.emacs' file.") (defvar cafeobj-dynamic-complete-functions '(comint-replace-by-expanded-history cafeobj-dynamic-complete-environment-variable cafeobj-dynamic-complete-command cafeobj-replace-by-expanded-directory cafeobj-dynamic-complete-filename comint-dynamic-complete-filename) "List of functions called to perform completion. This variable is used to initialise `comint-dynamic-complete-functions' in the CafeOBJ process buffer. This is a fine thing to set in your `.emacs' file.") (defcustom cafeobj-command-regexp "[^;&|\n]+" "*Regexp to match a single command within a pipeline. This is used for directory tracking and does not do a perfect job." :type 'regexp :group 'cafeobj-process) (defcustom cafeobj-pushd-regexp "pushd" "*Regexp to match subshell commands equivalent to pushd." :type 'regexp :group 'cafeobj-directories) (defcustom cafeobj-popd-regexp "popd" "*Regexp to match CafeOBJ commands equivalent to popd." :type 'regexp :group 'cafeobj-directories) (defcustom cafeobj-pushd-tohome nil "*If non-nil, make pushd with no arg behave as \"pushd ~\" (like cd)." :type 'boolean :group 'cafeobj-directories) (defcustom cafeobj-pushd-dextract nil "*If non-nil, make \"pushd +n\" pop the nth dir to the stack top." :type 'boolean :group 'cafeobj-directories) (defcustom cafeobj-pushd-dunique nil "*If non-nil, make pushd only add unique directories to the stack." :type 'boolean :group 'cafeobj-directories) (defcustom cafeobj-chdrive-regexp (if (memq system-type '(ms-dos windows-nt)) ; NetWare allows the five chars between upper and lower alphabetics. "[]a-zA-Z^_`\\[\\\\]:" nil) "*If non-nil, is regexp used to track drive changes." :type '(choice regexp (const nil)) :group 'cafeobj-directories) (defcustom cafeobj-cd-regexp "cd" "*Regexp to match CafeOBJ commands equivalent to cd." :type 'regexp :group 'cafeobj-directories) (defcustom cafeobj-input-autoexpand 'history "*If non-nil, expand input command history references on completion. This mirrors the optional behavior of tcsh (its autoexpand and histlit). If the value is `input', then the expansion is seen on input. If the value is `history', then the expansion is only when inserting into the buffer's input ring. See also `comint-magic-space' and `comint-dynamic-complete'. This variable supplies a default for `comint-input-autoexpand', for CafeOBJ process mode only." :type '(choice (const nil) (const input) (const history)) :type 'cafeobj) (defvar cafeobj-dirstack nil "List of directories saved by pushd in this buffer's CafeOBJ. Thus, this does not include the CafeOBJ's current directory.") (defvar cafeobj-dirstack-query nil) (defvar cafeobj-dirtrackp t "Non-nil in a CafeOBJ buffer means directory tracking is enabled.") (defvar cafeobj-last-dir nil "Keep track of last directory.") (defvar cafeobj-process-mode-map nil) (cond ((not cafeobj-process-mode-map) (setq cafeobj-process-mode-map (nconc (make-sparse-keymap) comint-mode-map)) (define-key cafeobj-process-mode-map "\C-c\C-f" 'cafeobj-forward-command) (define-key cafeobj-process-mode-map "\C-c\C-b" 'cafeobj-backward-command) (define-key cafeobj-process-mode-map "\t" 'comint-dynamic-complete) (define-key cafeobj-process-mode-map "\M-?" 'comint-dynamic-list-filename-completions) (define-key cafeobj-process-mode-map "\C-c\C-g" 'cafeobj-put-esc-esc) (define-key cafeobj-process-mode-map [menu-bar completion] (cons "Complete" (copy-keymap (lookup-key comint-mode-map [menu-bar completion])))) (define-key-after (lookup-key cafeobj-process-mode-map [menu-bar completion]) [complete-env-variable] '("Complete Env. Variable Name" . cafeobj-dynamic-complete-environment-variable) 'complete-file) (define-key-after (lookup-key cafeobj-process-mode-map [menu-bar completion]) [expand-directory] '("Expand Directory Reference" . cafeobj-replace-by-expanded-directory) 'complete-expand) (unless (featurep 'infodock) (define-key cafeobj-process-mode-map "\M-\C-m" 'cafeobj-resync-dirs)) )) (defcustom cafeobj-process-mode-hook nil "*Hook for customising CafeOBJ process mode." :type 'hook :group 'cafeobj-process) ;;; FONT-LOCKING (defface cafeobj-error-face '((((class color) (background dark)) (:foreground "Red3" :background "DimGray")) (((class color) (background light)) (:foreground "Red3" :background "DimGray")) (((class grayscale) (background light)) (:foreground "LightGray" :bold t :underline t)) (((class grayscale) (background dark)) (:foreground "Gray50" :bold t :underline t))) "CafeOBJ face used to highlight error messages." :group 'cafeobj-faces) (defface cafeobj-warning-face '((((class color) (background dark)) (:foreground "yellow3" :background "DimGray")) (((class color) (background light)) (:foreground "yellow3" :background "DimGray")) (t (:inverse-video t :bold t))) "Font Lock mode face used to highlight warnings." :group 'cafeobj-faces) (defface cafeobj-pignose-keyword-face '((((class color) (background dark)) (:foreground "steelblue1")) (((class color) (background light)) (:foreground "blue3")) (t (:underline t))) "CafeOBJ face used to highlight keywords of PigNose." :group 'cafeobj-faces) (defcustom cafeobj-prompt-face 'cafeobj-prompt-face "Face for shell prompts." :type 'face :group 'cafeobj-process-faces) (defcustom cafeobj-process-keyword-face 'cafeobj-process-keyword-face "Face for CafeOBJ keywords." :type 'face :group 'cafeobj-process-faces) (defcustom cafeobj-option-face 'cafeobj-option-face "Face for command line options." :type 'face :group 'cafeobj-process-faces) (defcustom cafeobj-output-face 'cafeobj-output-face "Face for generic CafeOBJ output." :type 'face :group 'cafeobj-process-faces) (make-face cafeobj-prompt-face) (make-face cafeobj-process-keyword-face) (make-face cafeobj-option-face) (defun cafeobj-process-font-lock-mode-hook () (or (face-differs-from-default-p cafeobj-prompt-face) (copy-face 'cafeobj-comment-face-2 cafeobj-prompt-face)) (or (face-differs-from-default-p cafeobj-process-keyword-face) (copy-face 'cafeobj-comment-face-2 cafeobj-process-keyword-face)) (or (face-differs-from-default-p cafeobj-option-face) (copy-face 'cafeobj-comment-face-2 cafeobj-option-face)) ;; (or (face-differs-from-default-p cafeobj-error-face) ;; (copy-face 'red cafeobj-error-face)) ;; we only need to do this once (remove-hook 'font-lock-mode-hook 'cafeobj-process-font-lock-mode-hook)) (add-hook 'font-lock-mode-hook 'cafeobj-process-font-lock-mode-hook) (defvar cafeobj-process-font-lock-keywords nil) (progn (setq cafeobj-process-font-lock-keywords (append (list '(eval . (cons cafeobj-prompt-pattern cafeobj-prompt-face)) '("\\[Error\\]:" . cafeobj-error-face) '("\\[Warning\\]:" . cafeobj-warning-face) '("^\\[Properties .*$" . cafeobj-process-keyword-face) '("^\\[selected .*$" . cafeobj-comment-face-2) '("^\\* kept .*$" . cafeobj-comment-face-1) '("^\\*\\* success$" . cafeobj-message-3-face) '("^\\*\\* fail$" . cafeobj-message-3-face) '("^\\*\\* found .*$" . cafeobj-message-3-face) '("^\\*\\* ok, .*$" . cafeobj-message-3-face) '("\\<\\(trying .*\\)\\>:" 0 cafeobj-message-2-face) '("^\\*\\* check .*:" . cafeobj-message-2-face) '("^\\*\\* Fail.*$" . cafeobj-message-3-face) '("^\\*\\* fail!$" . cafeobj-message-3-face) '("^\\*\\* Predicate .*$". cafeobj-message-3-face) '("^\\*\\* PigNose .*$" . cafeobj-message-2-face) '("^\\*\\* Search .*$" . cafeobj-process-keyword-face) ;; reduction '("^\\(-- reduce in .* :\\) " 1 cafeobj-message-1-face) '("^\\(-- behavioural reduce in .* :\\) " 1 cafeobj-message-1-face) '("^\\(-- cbred in .* :\\)" 1 cafeobj-message-1-face) '("^\\(#[0-9]+\\)(" 1 cafeobj-comment-face-1) ;; CITP '("^\\[.+\\].*$" . cafeobj-message-1-face) ;; '("\\]+\\)" 1 cafeobj-option-face) ;; '("^[^\n]+.*$" . cafeobj-output-face) ) cafeobj-font-lock-keywords))) (put 'cafeobj-process-mode 'font-lock-defaults '(cafeobj-process-font-lock-keywords t)) ;;; CafeOBJ Process Mode (defun cafeobj-process-mode () (interactive) (comint-mode) (setq major-mode 'CafeOBJ-process-mode) (setq mode-name "CafeOBJ process") (use-local-map cafeobj-process-mode-map) (make-local-variable 'comint-prompt-regexp) (setq comint-prompt-regexp cafeobj-prompt-pattern) (setq comint-completion-fignore cafeobj-completion-fignore) (make-local-variable 'comint-delimiter-argument-list) (setq comint-delimiter-argument-list cafeobj-delimiter-argument-list) (setq comint-file-name-chars cafeobj-file-name-chars) (setq comint-file-name-quote-list cafeobj-file-name-quote-list) (set (make-local-variable 'comint-dynamic-complete-functions) cafeobj-dynamic-complete-functions) (make-local-variable 'paragraph-start) (setq paragraph-start comint-prompt-regexp) (make-local-variable 'font-lock-defaults) (setq font-lock-defaults '(cafeobj-process-font-lock-keywords t)) (make-local-variable 'cafeobj-dirstack) (setq cafeobj-dirstack nil) (make-local-variable 'cafeobj-last-dir) (setq cafeobj-last-dir nil) (make-local-variable 'cafeobj-dirtrackp) (setq cafeobj-dirtrackp t) (add-hook 'comint-input-filter-functions 'cafeobj-directory-tracker nil t) (setq comint-input-autoexpand cafeobj-input-autoexpand) ;; This is not really correct, since the CafeOBJ buffer does not really ;; edit this directory. But it is useful in the buffer list and menus. (make-local-variable 'list-buffers-directory) (setq list-buffers-directory (expand-file-name default-directory)) (setq cafeobj-dirstack-query "pwd") (run-hooks 'cafeobj-process-mode-hook) (comint-read-input-ring t) (cafeobj-dirstack-message) ) (defun cafeobj-start-process (name program &optional startfile &rest switches) "Start a chaos process named NAME, running PROGRAM." (or switches (setq switches cafeobj-default-command-switches)) (when cafeobj-xemacs-p (setq switches (append switches '("-no-banner")))) (setq cafeobj-process-buffer (apply 'make-comint name program startfile switches)) (setq cafeobj-process (get-buffer-process cafeobj-process-buffer)) (save-excursion (set-buffer cafeobj-process-buffer) (cafeobj-process-mode))) (defcustom cafeobj-logo-file "/usr/local/share/doc/cafeobj/cafeobj-logo-small.png" "CafeOBJ's logo file displayed at start up time of the interpreter." :type 'string :group 'cafeobj) (defun cafeobj-startup-message (&optional x y) "Insert startup message in current buffer." (erase-buffer) (when (and (display-graphic-p) (file-exists-p cafeobj-logo-file)) (let* ((img (create-image cafeobj-logo-file)) (img-size (image-size img)) (char-per-pixel (/ (* 1.0 (window-width)) (window-pixel-width)))) (goto-char (point-min)) (insert " \n") (insert-image img) (while (not (eobp)) (insert (make-string (truncate (* (/ (max (- (window-pixel-width) (or x (car img-size))) 0) 2) char-per-pixel)) ?\ )) (forward-line 1)))) (goto-char (point-max)) (insert (make-string 2 ?\n)) (set-buffer-modified-p t)) (defun cafeobj (&rest ignore) (interactive) (if (and cafeobj-process (eq (process-status cafeobj-process) 'run)) (switch-to-buffer cafeobj-process-buffer) (progn (switch-to-buffer (get-buffer-create (concat "*" cafeobj-application-name "*"))) ;; show cafeobj logo (cafeobj-startup-message) ;; start the process (cafeobj-start-process cafeobj-application-name cafeobj-default-application)))) (defun cafeobj-kill-process () "Kill chaos subprocess and its buffer." (interactive) (if cafeobj-process-buffer (kill-buffer cafeobj-process-buffer))) (defun cafeobj-set-cafeobj-region-start (&optional arg) "Set start of region for use with `cafeobj-send-cafeobj-region'." (interactive) (set-marker cafeobj-region-start (or arg (point)))) (defun cafeobj-set-cafeobj-region-end (&optional arg) "Set end of region for use with `cafeobj-send-cafeobj-region'." (interactive) (set-marker cafeobj-region-end (or arg (point)))) (defun cafeobj-send-line () "Send current line to chaos subprocess, found in `cafeobj-process'. If `cafeobj-process' is nil or dead, start a new process first." (interactive) (let ((start (save-excursion (beginning-of-line) (point))) (end (save-excursion (end-of-line) (point)))) (or (and cafeobj-process (eq (process-status cafeobj-process) 'run)) (cafeobj-start-process cafeobj-application-name cafeobj-default-application)) (comint-simple-send cafeobj-process (buffer-substring start end)) (forward-line 1) (if cafeobj-always-show (display-buffer cafeobj-process-buffer)))) (defun cafeobj-send-region (start end) "Send region to chaos subprocess." (interactive "r") (when (and start end) (or (and cafeobj-process (comint-check-proc cafeobj-process-buffer)) (cafeobj-start-process cafeobj-application-name cafeobj-default-application)) (comint-simple-send cafeobj-process (concat (buffer-substring start end) "\n")) (if cafeobj-always-show (display-buffer cafeobj-process-buffer)))) (defun cafeobj-send-decl () "Send proc around point to chaos subprocess." (interactive) (let (beg end) (save-excursion (cafeobj-beginning-of-decl) (setq beg (point)) (cafeobj-end-of-decl) (setq end (point))) (or (and cafeobj-process (comint-check-proc cafeobj-process-buffer)) (cafeobj-start-process cafeobj-application-name cafeobj-default-application)) (comint-simple-send cafeobj-process (concat (buffer-substring beg end) "\n")) (if cafeobj-always-show (display-buffer cafeobj-process-buffer)))) (defun cafeobj-send-buffer () "Send whole buffer to chaos subprocess." (interactive) (or (and cafeobj-process (comint-check-proc cafeobj-process-buffer)) (cafeobj-start-process cafeobj-application-name cafeobj-default-application)) (if (buffer-modified-p) (comint-simple-send cafeobj-process (concat (buffer-substring (point-min) (point-max)) "\n")) (comint-simple-send cafeobj-process (concat "input " (buffer-file-name) "\n"))) (if cafeobj-always-show (display-buffer cafeobj-process-buffer))) (defun cafeobj-show-process-buffer () "Make sure `cafeobj-process-buffer' is being displayed." (interactive) (display-buffer cafeobj-process-buffer)) (defun cafeobj-hide-process-buffer () "Delete all windows that display `cafeobj-process-buffer'." (interactive) (delete-windows-on cafeobj-process-buffer)) ;;; Directory tracking ;;; ;;; This code provides the shell mode input sentinel ;;; CAFEOBJ-DIRECTORY-TRACKER ;;; that tracks cd, pushd, and popd commands issued to the shell, and ;;; changes the current directory of the shell buffer accordingly. ;;; ;;; This is basically a fragile hack, although it's more accurate than ;;; the version in Emacs 18's shell.el. It has the following failings: ;;; 1. It doesn't know about the cdpath shell variable. ;;; 2. It cannot infallibly deal with command sequences, though it does well ;;; with these and with ignoring commands forked in another shell with ()s. ;;; 3. More generally, any complex command is going to throw it. Otherwise, ;;; you'd have to build an entire shell interpreter in emacs lisp. Failing ;;; that, there's no way to catch shell commands where cd's are buried ;;; inside conditional expressions, aliases, and so forth. ;;; ;;; The whole approach is a crock. Shell aliases mess it up. File sourcing ;;; messes it up. You run other processes under the shell; these each have ;;; separate working directories, and some have commands for manipulating ;;; their w.d.'s (e.g., the lcd command in ftp). Some of these programs have ;;; commands that do *not* affect the current w.d. at all, but look like they ;;; do (e.g., the cd command in ftp). In shells that allow you job ;;; control, you can switch between jobs, all having different w.d.'s. So ;;; simply saying %3 can shift your w.d.. ;;; ;;; The solution is to relax, not stress out about it, and settle for ;;; a hack that works pretty well in typical circumstances. Remember ;;; that a half-assed solution is more in keeping with the spirit of Unix, ;;; anyway. Blech. ;;; ;;; One good hack not implemented here for users of programmable shells ;;; is to program up the shell w.d. manipulation commands to output ;;; a coded command sequence to the tty. Something like ;;; ESC | | ;;; where is the new current working directory. Then trash the ;;; directory tracking machinery currently used in this package, and ;;; replace it with a process filter that watches for and strips out ;;; these messages. (defun cafeobj-directory-tracker (str) "Tracks cd, pushd and popd commands issued to the shell. This function is called on each input passed to the shell. It watches for cd, pushd and popd commands and sets the buffer's default directory to track these commands. You may toggle this tracking on and off with \\[dirtrack-toggle]. If emacs gets confused, you can resync with the shell with \\[dirs]. See variables `cafeobj-cd-regexp', `cafeobj-chdrive-regexp', `cafeobj-pushd-regexp', and `cafeobj-popd-regexp', while `cafeobj-pushd-tohome', `cafeobj-pushd-dextract', and `cafeobj-pushd-dunique' control the behavior of the relevant command. Environment variables are expanded, see function `substitute-in-file-name'." (if cafeobj-dirtrackp ;; We fail gracefully if we think the command will fail in the shell. (condition-case chdir-failure (let ((start (progn (string-match "^[; \t]*" str) ; skip whitespace (match-end 0))) end cmd arg1) (while (string-match cafeobj-command-regexp str start) (setq end (match-end 0) cmd (comint-arguments (substring str start end) 0 0) arg1 (comint-arguments (substring str start end) 1 1)) (cond ((string-match (concat "\\`\\(" cafeobj-popd-regexp "\\)\\($\\|[ \t]\\)") cmd) (cafeobj-process-popd (comint-substitute-in-file-name arg1))) ((string-match (concat "\\`\\(" cafeobj-pushd-regexp "\\)\\($\\|[ \t]\\)") cmd) (cafeobj-process-pushd (comint-substitute-in-file-name arg1))) ((string-match (concat "\\`\\(" cafeobj-cd-regexp "\\)\\($\\|[ \t]\\)") cmd) (cafeobj-process-cd (comint-substitute-in-file-name arg1))) ((and cafeobj-chdrive-regexp (string-match (concat "\\`\\(" cafeobj-chdrive-regexp "\\)\\($\\|[ \t]\\)") cmd)) (cafeobj-process-cd (comint-substitute-in-file-name cmd)))) (setq start (progn (string-match "[; \t]*" str end) ; skip again (match-end 0))))) (error "Couldn't cd")))) ;; Like `cd', but prepends comint-file-name-prefix to absolute names. (defun cafeobj-cd-1 (dir dirstack) (if cafeobj-dirtrackp (setq list-buffers-directory (file-name-as-directory (expand-file-name dir)))) (condition-case nil (progn (if (file-name-absolute-p dir) ;;(cd-absolute (concat comint-file-name-prefix dir)) (cd-absolute dir) (cd dir)) (setq cafeobj-dirstack dirstack) (cafeobj-dirstack-message)) (file-error (message "Couldn't cd.")))) ;;; popd [+n] (defun cafeobj-process-popd (arg) (let ((num (or (cafeobj-extract-num arg) 0))) (cond ((and num (= num 0) cafeobj-dirstack) (cafeobj-cd-1 (car cafeobj-dirstack) (cdr cafeobj-dirstack))) ((and num (> num 0) (<= num (length cafeobj-dirstack))) (let* ((ds (cons nil cafeobj-dirstack)) (cell (nthcdr (1- num) ds))) (rplacd cell (cdr (cdr cell))) (setq cafeobj-dirstack (cdr ds)) (cafeobj-dirstack-message))) (t (error "Couldn't popd"))))) ;; Return DIR prefixed with comint-file-name-prefix as appropriate. (defun cafeobj-prefixed-directory-name (dir) (if (= (length comint-file-name-prefix) 0) dir (if (file-name-absolute-p dir) ;; The name is absolute, so prepend the prefix. (concat comint-file-name-prefix dir) ;; For relative name we assume default-directory already has the prefix. (expand-file-name dir)))) ;;; cd [dir] (defun cafeobj-process-cd (arg) (let ((new-dir (cond ((zerop (length arg)) (concat comint-file-name-prefix "~")) ((string-equal "-" arg) cafeobj-last-dir) (t (cafeobj-prefixed-directory-name arg))))) (setq cafeobj-last-dir default-directory) (cafeobj-cd-1 new-dir cafeobj-dirstack))) ;;; pushd [+n | dir] (defun cafeobj-process-pushd (arg) (let ((num (cafeobj-extract-num arg))) (cond ((zerop (length arg)) ;; no arg -- swap pwd and car of stack unless cafeobj-pushd-tohome (cond (cafeobj-pushd-tohome (cafeobj-process-pushd (concat comint-file-name-prefix "~"))) (cafeobj-dirstack (let ((old default-directory)) (cafeobj-cd-1 (car cafeobj-dirstack) (cons old (cdr cafeobj-dirstack))))) (t (message "Directory stack empty.")))) ((numberp num) ;; pushd +n (cond ((> num (length cafeobj-dirstack)) (message "Directory stack not that deep.")) ((= num 0) (error (message "Couldn't cd."))) (cafeobj-pushd-dextract (let ((dir (nth (1- num) cafeobj-dirstack))) (cafeobj-process-popd arg) (cafeobj-process-pushd default-directory) (cafeobj-cd-1 dir cafeobj-dirstack))) (t (let* ((ds (cons default-directory cafeobj-dirstack)) (dslen (length ds)) (front (nthcdr num ds)) (back (reverse (nthcdr (- dslen num) (reverse ds)))) (new-ds (append front back))) (cafeobj-cd-1 (car new-ds) (cdr new-ds)))))) (t ;; pushd (let ((old-wd default-directory)) (cafeobj-cd-1 (cafeobj-prefixed-directory-name arg) (if (or (null cafeobj-pushd-dunique) (not (member old-wd cafeobj-dirstack))) (cons old-wd cafeobj-dirstack) cafeobj-dirstack))))))) ;; If STR is of the form +n, for n>0, return n. Otherwise, nil. (defun cafeobj-extract-num (str) (and (string-match "^\\+[1-9][0-9]*$" str) (string-to-number str))) (defun cafeobj-dirtrack-toggle () "Turn directory tracking on and off in a shell buffer." (interactive) (if (setq cafeobj-dirtrackp (not cafeobj-dirtrackp)) (setq list-buffers-directory default-directory) (setq list-buffers-directory nil)) (message "Directory tracking %s" (if cafeobj-dirtrackp "ON" "OFF"))) ;;; For your typing convenience: (defalias 'dirtrack-toggle 'cafeobj-dirtrack-toggle) (defun cafeobj-cd (dir) "Do normal `cd' to DIR, and set `list-buffers-directory'." (if cafeobj-dirtrackp (setq list-buffers-directory (file-name-as-directory (expand-file-name dir)))) (cd dir)) (defun cafeobj-resync-dirs () "Resync the buffer's idea of the current directory stack. This command queries the shell with the command bound to `cafeobj-dirstack-query' (default \"dirs\"), reads the next line output and parses it to form the new directory stack. DON'T issue this command unless the buffer is at a shell prompt. Also, note that if some other subprocess decides to do output immediately after the query, its output will be taken as the new directory stack -- you lose. If this happens, just do the command again." (interactive) (let* ((proc (get-buffer-process (current-buffer))) (pmark (process-mark proc))) (goto-char pmark) (insert cafeobj-dirstack-query) (insert "\n") (sit-for 0) ; force redisplay (comint-send-string proc cafeobj-dirstack-query) (comint-send-string proc "\n") (set-marker pmark (point)) (let ((pt (point))) ; wait for 1 line ;; This extra newline prevents the user's pending input from spoofing us. (insert "\n") (backward-char 1) (while (not (looking-at ".+\n")) (accept-process-output proc) (goto-char pt) ;; kludge to cope with shells that have "stty echo" turned on. ;; of course this will lose if there is only one dir on the stack ;; and it is named "dirs"... -jwz (if (looking-at "^dirs\r?\n") (delete-region (point) (match-end 0))) )) (goto-char pmark) (delete-char 1) ; remove the extra newline ;; That's the dirlist. grab it & parse it. (let* ((dl (buffer-substring (match-beginning 0) (1- (match-end 0)))) (dl-len (length dl)) (ds '()) ; new dir stack (i 0)) (while (< i dl-len) ;; regexp = optional whitespace, (non-whitespace), optional whitespace (string-match "\\s *\\(\\S +\\)\\s *" dl i) ; pick off next dir (setq ds (cons (concat comint-file-name-prefix (substring dl (match-beginning 1) (match-end 1))) ds)) (setq i (match-end 0))) (let ((ds (reverse ds))) (cafeobj-cd-1 (car ds) (cdr ds)))))) ;;; For your typing convenience: (defalias 'dirs 'cafeobj-resync-dirs) ;; XEmacs addition (defvar cafeobj-dirstack-message-hook nil "Hook to run after a cd, pushd or popd event") ;;; Show the current dirstack on the message line. ;;; Pretty up dirs a bit by changing "/usr/jqr/foo" to "~/foo". ;;; (This isn't necessary if the dirlisting is generated with a simple "dirs".) ;;; All the commands that mung the buffer's dirstack finish by calling ;;; this guy. (defun user-home-directory () (getenv "HOME")) (defun cafeobj-dirstack-message () (let* ((msg "") (ds (cons default-directory cafeobj-dirstack)) (home (if cafeobj-xemacs-p (format "^%s\\(/\\|$\\)" (regexp-quote (user-home-directory))) abbreviated-home-dir)) (prefix (and comint-file-name-prefix ;; XEmacs addition: don't turn "/foo" into "foo" !! (not (= 0 (length comint-file-name-prefix))) (format "^%s\\(/\\|$\\)" (regexp-quote comint-file-name-prefix))))) (while ds (let ((dir (car ds))) (if (string-match home dir) (setq dir (concat "~/" (substring dir (match-end 0))))) ;; Strip off comint-file-name-prefix if present. (and prefix (string-match prefix dir) (setq dir (substring dir (match-end 0))) (setcar ds dir) ) (setq msg (concat msg dir " ")) (setq ds (cdr ds)))) (run-hooks 'cafeobj-dirstack-message-hook) (message "%s" msg))) ;; This was mostly copied from cafeobj-resync-dirs. (defun cafeobj-snarf-envar (var) "Return as a string the shell's value of environment variable VAR." (let* ((cmd (format "printenv '%s'\n" var)) (proc (get-buffer-process (current-buffer))) (pmark (process-mark proc))) (goto-char pmark) (insert cmd) (sit-for 0) ; force redisplay (comint-send-string proc cmd) (set-marker pmark (point)) (let ((pt (point))) ; wait for 1 line ;; This extra newline prevents the user's pending input from spoofing us. (insert "\n") (backward-char 1) (while (not (looking-at ".+\n")) (accept-process-output proc) (goto-char pt))) (goto-char pmark) (delete-char 1) ; remove the extra newline (buffer-substring (match-beginning 0) (1- (match-end 0))))) (defun cafeobj-copy-environment-variable (variable) "Copy the environment variable VARIABLE from the subshell to Emacs. This command reads the value of the specified environment variable in the shell, and sets the same environment variable in Emacs \(what `getenv' in Emacs would return) to that value. That value will affect any new subprocesses that you subsequently start from Emacs." (interactive (list (read-envvar-name "\ Copy Shell environment variable to Emacs: "))) (setenv variable (cafeobj-snarf-envar variable))) (defun cafeobj-forward-command (&optional arg) "Move forward across ARG shell command(s). Does not cross lines. See `cafeobj-command-regexp'." (interactive "p") (let ((limit (save-excursion (end-of-line nil) (point)))) (if (re-search-forward (concat cafeobj-command-regexp "\\([;&|][\t ]*\\)+") limit 'move arg) (skip-syntax-backward " ")))) (defun cafeobj-backward-command (&optional arg) "Move backward across ARG shell command(s). Does not cross lines. See `cafeobj-command-regexp'." (interactive "p") (let ((limit (save-excursion (comint-bol nil) (point)))) (if (> limit (point)) (save-excursion (beginning-of-line) (setq limit (point)))) (skip-syntax-backward " " limit) (if (re-search-backward (format "[;&|]+[\t ]*\\(%s\\)" cafeobj-command-regexp) limit 'move arg) (progn (goto-char (match-beginning 1)) (skip-chars-forward ";&|"))))) (defvar esc-esc "") (defun cafeobj-put-esc-esc () "send EscEsc to CafeOBJ process. This makes the interpeter to cancel current input." (interactive) (let* ((proc (get-buffer-process (current-buffer))) (pmark (process-mark proc))) (goto-char pmark) (comint-send-string proc esc-esc) (comint-send-string proc "\n") (set-marker pmark (point)))) (defun cafeobj-dynamic-complete-command () "Dynamically complete the command at point. This function is similar to `comint-dynamic-complete-filename', except that it searches `exec-path' (minus the trailing emacs library path) for completion candidates. Note that this may not be the same as the shell's idea of the path. Returns t if successful." (interactive) (let ((filename (comint-match-partial-filename))) (if (and filename (save-match-data (not (string-match "[~/]" filename))) (eq (match-beginning 0) (save-excursion (cafeobj-backward-command 1) (point)))) (prog2 (message "Completing command name...") (cafeobj-dynamic-complete-as-command))))) (defun cafeobj-dynamic-complete-as-command () "Dynamically complete at point as a command. See `cafeobj-dynamic-complete-filename'. Returns t if successful." (let* ((filename (or (comint-match-partial-filename) "")) (pathnondir (file-name-nondirectory filename)) (paths (cdr (reverse exec-path))) (cwd (file-name-as-directory (expand-file-name default-directory))) (ignored-extensions (and comint-completion-fignore (mapconcat (function (lambda (x) (concat (regexp-quote x) "$"))) comint-completion-fignore "\\|"))) (path "") (comps-in-path ()) (file "") (filepath "") (completions ())) ;; Go thru each path in the search path, finding completions. (while paths (setq path (file-name-as-directory (comint-directory (or (car paths) "."))) comps-in-path (and (file-accessible-directory-p path) (file-name-all-completions pathnondir path))) ;; Go thru each completion found, to see whether it should be used. (while comps-in-path (setq file (car comps-in-path) filepath (concat path file)) (if (and (not (member file completions)) (not (and ignored-extensions (string-match ignored-extensions file))) (or (string-equal path cwd) (not (file-directory-p filepath))) ) (setq completions (cons file completions))) (setq comps-in-path (cdr comps-in-path))) (setq paths (cdr paths))) ;; OK, we've got a list of completions. (let ((success (let ((comint-completion-addsuffix nil)) (comint-dynamic-simple-complete pathnondir completions)))) (if (and (memq success '(sole shortest)) comint-completion-addsuffix (not (file-directory-p (comint-match-partial-filename)))) (insert " ")) success))) (defun cafeobj-dynamic-complete-filename () "Dynamically complete the filename at point. This completes only if point is at a suitable position for a filename argument." (interactive) (let ((opoint (point)) (beg (comint-line-beginning-position))) (when (save-excursion (goto-char (if (re-search-backward "[;|&]" beg t) (match-end 0) beg)) (re-search-forward "[^ \t][ \t]" opoint t)) (comint-dynamic-complete-as-filename)))) (defun cafeobj-match-partial-variable () "Return the shell variable at point, or nil if none is found." (save-excursion (let ((limit (point))) (if (re-search-backward "[^A-Za-z0-9_{}]" nil 'move) (or (looking-at "\\$") (forward-char 1))) ;; Anchor the search forwards. (if (or (eolp) (looking-at "[^A-Za-z0-9_{}$]")) nil (re-search-forward "\\$?{?[A-Za-z0-9_]*}?" limit) (buffer-substring (match-beginning 0) (match-end 0)))))) (defun cafeobj-dynamic-complete-environment-variable () "Dynamically complete the environment variable at point. Completes if after a variable, i.e., if it starts with a \"$\". See `cafeobj-dynamic-complete-as-environment-variable'. This function is similar to `comint-dynamic-complete-filename', except that it searches `process-environment' for completion candidates. Note that this may not be the same as the interpreter's idea of variable names. The main problem with this type of completion is that `process-environment' is the environment which Emacs started with. Emacs does not track changes to the environment made by the interpreter. Perhaps it would be more accurate if this function was called `cafeobj-dynamic-complete-process-environment-variable'. Returns non-nil if successful." (interactive) (let ((variable (cafeobj-match-partial-variable))) (if (and variable (string-match "^\\$" variable)) (prog2 (message "Completing variable name...") (cafeobj-dynamic-complete-as-environment-variable))))) (defun cafeobj-dynamic-complete-as-environment-variable () "Dynamically complete at point as an environment variable. Used by `cafeobj-dynamic-complete-environment-variable'. Uses `comint-dynamic-simple-complete'." (let* ((var (or (cafeobj-match-partial-variable) "")) (variable (substring var (or (string-match "[^$({]\\|$" var) 0))) (variables (mapcar (function (lambda (x) (substring x 0 (string-match "=" x)))) process-environment)) (addsuffix comint-completion-addsuffix) (comint-completion-addsuffix nil) (success (comint-dynamic-simple-complete variable variables))) (if (memq success '(sole shortest)) (let* ((var (cafeobj-match-partial-variable)) (variable (substring var (string-match "[^$({]" var))) (protection (cond ((string-match "{" var) "}") ((string-match "(" var) ")") (t ""))) (suffix (cond ((null addsuffix) "") ((file-directory-p (comint-directory (getenv variable))) "/") (t " ")))) (insert protection suffix))) success)) (defun cafeobj-replace-by-expanded-directory () "Expand directory stack reference before point. Directory stack references are of the form \"=digit\" or \"=-\". See `default-directory' and `cafeobj-dirstack'. Returns t if successful." (interactive) (if (comint-match-partial-filename) (save-excursion (goto-char (match-beginning 0)) (let ((stack (cons default-directory cafeobj-dirstack)) (index (cond ((looking-at "=-/?") (length cafeobj-dirstack)) ((looking-at "=\\([0-9]+\\)") (string-to-number (buffer-substring (match-beginning 1) (match-end 1))))))) (cond ((null index) nil) ((>= index (length stack)) (error "Directory stack not that deep.")) (t (replace-match (file-name-as-directory (nth index stack)) t t) (message "Directory item: %d" index) t)))))) ;;; (defvar menu-bar-mode (featurep 'menubar)) (defgroup cafeobj-xmas nil "XEmacs support for CafeOBJ" :group 'cafeobj) (defcustom cafeobj-glyph-directory "/usr/local/cafeobj-1.4/icons" "Directory where CafeOBJ logos and icons are located." :type '(choice (const :tag "autodetect" nil) directory) :group 'cafeobj) (defvar cafeobj-xmas-logo-color-alist '((flame "#cc3300" "#ff2200") (pine "#c0cc93" "#f8ffb8") (moss "#a1cc93" "#d2ffb8") (irish "#04cc90" "#05ff97") (sky "#049acc" "#05deff") (tin "#6886cc" "#82b6ff") (velvet "#7c68cc" "#8c82ff") (grape "#b264cc" "#cf7df") (labia "#cc64c2" "#fd7dff") (berry "#cc6485" "#ff7db5") (neutral "#b4b4b4" "#878787") (september "#bf9900" "#ffcc00")) "Color alist used for the Gnus logo.") (defcustom cafeobj-xmas-logo-color-style 'moss "*Color styles used for the CafeOBJ logo." :type '(choice (const flame) (const pine) (const moss) (const irish) (const sky) (const tin) (const velvet) (const grape) (const labia) (const berry) (const neutral) (const september)) :group 'cafeobj-xmas) (defvar cafeobj-xmas-logo-colors (cdr (assq cafeobj-xmas-logo-color-style cafeobj-xmas-logo-color-alist)) "Colors used for the CafeOBJ logo.") (defvar cafeobj-xpm-size '(142 . 165)) ;; (defun cafeobj-startup-message (&optional x y) ;; "insert startup message in current buffer." ;; ;; Insert the message. ;; (setq cafeobj-glyph-directory ;; "/usr/local/cafeobj-1.4/icons") ;; (erase-buffer) ;; (cond ;; ((and (console-on-window-system-p) ;; (or (featurep 'xpm) ;; (featurep 'xbm))) ;; (let* ((logo-xpm (expand-file-name "cafe-logo.xpm" cafeobj-glyph-directory)) ;; (logo-xbm (expand-file-name "cafe-logo.xbm" cafeobj-glyph-directory)) ;; (glyph (make-glyph ;; (cond ((featurep 'xpm) ;; `[xpm ;; :file ,logo-xpm ;; :color-symbols ;; (("thing" . ,(car cafeobj-xmas-logo-colors)) ;; ("shadow" . ,(cadr cafeobj-xmas-logo-colors)) ;; ("background" . ,(face-background 'default)))]) ;; ((featurep 'xbm) ;; `[xbm :file ,logo-xbm]) ;; (t [nothing])))) ;; (char-per-pixel ;; (/ (* 1.0 (window-width)) (window-pixel-width))) ;; ) ;; (insert " ") ;; (set-extent-begin-glyph (make-extent (point) (point)) glyph) ;; (goto-char (point-min)) ;; (while (not (eobp)) ;; (insert (make-string (truncate ;; (* (/ (max (- (window-pixel-width) ;; (or x ;; (car cafeobj-xpm-size))) ;; 0) ;; 2) ;; char-per-pixel)) ;; ?\ )) ;; (forward-line 1)) ;; ))) ;; ;; ;; (goto-char (point-max)) ;; (insert (make-string 2 ?\n)) ;; ;; ;; (set-buffer-modified-p t)) ;;; ;;; (defvar cafeobj-comment-face-1 'cafeobj-comment-face-1) (defvar cafeobj-comment-face-2 'cafeobj-comment-face-2) (defvar cafeobj-string-face 'cafeobj-string-face) (defvar cafeobj-string-face-2 'cafeobj-string-face-2) (defvar cafeobj-keyword-face 'cafeobj-keyword-face) (defvar cafeobj-decl-keyword-face 'cafeobj-decl-keyword-face) (defvar cafeobj-command-name-face 'cafeobj-command-name-face) (defvar cafeobj-message-1-face 'cafeobj-message-1-face) (defvar cafeobj-message-2-face 'cafeobj-message-2-face) (defvar cafeobj-message-3-face 'cafeobj-message-3-face) (defvar cafeobj-error-face 'cafeobj-error-face) (defvar cafeobj-warning-face 'cafeobj-warning-face) (defvar cafeobj-pignose-keyword-face 'cafeobj-pignose-keyword-face) (defvar cafeobj-prompt-face 'cafeobj-prompt-face) (defvar cafeobj-process-keyword-face 'cafeobj-process-keyword-face) (defvar cafeobj-option-face 'cafeobj-option-face) (defvar cafeobj-output-face 'cafeobj-output-face) (provide 'cafeobj-mode) ;; Local Variables: ;; folded-file: t ;; End: ;;; cafeobj-mode.el ends here cafeobj-1.5.4/lib/0000755000000000000000000000000012403660326012360 5ustar rootrootcafeobj-1.5.4/lib/icons/0000755000000000000000000000000012605345045013475 5ustar rootrootcafeobj-1.5.4/lib/icons/cafeobj-cube.png0000644000000000000000000014141612573744543016531 0ustar rootroot‰PNG  IHDRÐ ˆô2¸bKGDùC» pHYsaa¨?§itIMEÞ 4Êÿ¨ IDATxÚìÝÛy7€Ñ?e¢T€BuNűÌ>X\S$‡Ó¨êKpÎÓ¾ì®< õ‹ôíüá›Nuw‡€š\¾àX÷ƒþwÝéÀeÊ»Ÿüÿç~.ØPÊýâÿ÷|p±€KÝ‹ýyÜ÷À…Nu/ügsç—i8ŽɟÓÝ\¢à÷†f÷p€]Ý›ÿùÍÀÅRî“ýó˜€ 3 ¹OþÏg..Êð¥ûbÿ¼æà‚ ¸/þÏoN€‹1,îî#øƒy.Ä°áükæ¸Àä„óíÌp €I‰ç1f¸üÀ$„ó渰À ñ|n渨ÀÂùZÌ'pA€w„óµ™Sàb Àò„sÞ2¯À…€åç|ÅÜQ¦'œ3ÂüP¦#œ“aŽ€‹'í çìÅ,—NÚÏ9‚™.›´!œs4s \4(O<çLæ¸`PŽpΕÌ9p±àrÂ9•˜wàB Àé„s*3÷ÀE€Ã çtbþ€ $»ÎéÌGÒ„sfb€ #Äsfe&€Ë"›‰ç¬Àl—DÎYù.ˆ| ž³2sCÎá óB$œÃcæ&.‚,@8‡íÌO\˜pqæ(.~L@8‡ý˜§¸ðÐpÇ1WpÑ áÎa¶à’@QÂ9\ÃŒÀå€"„s¸ž9 €‹Ρó:N&žCmæ..rL8‡^Ì_\à8€x}™Ã¸¸°áæaàÂ@€pó2—pQ`áÖa>à‚À'„sX“ €Ë¿ çÀífVàR°0áxϼÀ… `)Â9ðŒ¹ €‹ÀôÄs`„ù € Àt„s ÃÀÅ ` â9°ó.€–„sà(æ:.Z-çÀYÌw\°JΫ˜ó¸X” œ˜õ¸T\F8*2óp™8pTgîà"p(áèÆüÀ `wâ9Й9€‹@špÌÄ<À… D<fe.ࢰ‰p¬Â|À àSÂ9°*s"ÀÅÈGp»Ý„s€WæE€ À¢„s€ÌŒ—!€…çÏ™.AÎƘ.@“ÎrÌ‘€ ˆçû1O\xÎŽc®¸è4!žœÃ| pÁ(J8¸†9àbP„pPƒyàBpá &s'ÀEà$Â9@æO€ ÀA„s€žÌ¡€çs0\X‚„s€ù˜I.+ƒÄs€¹™M.)Oçë0Ÿ\PÏÖdN¸˜ü&œp»™W.$À„s>cn¸ˆËÎØÂü p¦%œaŽ¸xÓÎ؃yà´%œps-ÀEhC8àhf[€KPžxÀ™Ì¸—  á€«˜s.@â9˜w.Àe„sðãç¯áÿÎ?ÿ僃qæ^€‹pá6ˆógubþ¸@‡Îá‰#¢ù#b:lf¸8»Îá gFóGÄtØÄ< pa„søB…pþž›˜‹. 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All rights reserved. ** ** Redistribution and use in source and binary forms, with or without ** modification, are permitted provided that the following conditions ** are met: ** ** * Redistributions of source code must retain the above copyright ** notice, this list of conditions and the following disclaimer. ** ** * Redistributions in binary form must reproduce the above ** copyright notice, this list of conditions and the following ** disclaimer in the documentation and/or other materials ** provided with the distribution. ** ** THIS SOFTWARE IS PROVIDED BY THE AUTHOR 'AS IS' AND ANY EXPRESSED ** OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED ** WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ** ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY ** DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL ** DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE ** GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS ** INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, ** WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING ** NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS ** SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. ** sys:mod! 2TUPLE (C1 :: TRIV, C2 :: TRIV) { signature { [ 2Tuple ] op << _ ; _ >> : Elt.C1 Elt.C2 -> 2Tuple { constr prec: 0 } op 1* _ : 2Tuple -> Elt.C1 { demod prec: 15 } op 2* _ : 2Tuple -> Elt.C2 { demod prec: 15 } } axioms { var e1 : Elt.C1 var e2 : Elt.C2 eq [:BDEMOD]: (1* (<< e1 ; e2 >>)) = e1 . eq [:BDEMOD]: (2* (<< e1 ; e2 >>)) = e2 . } } protect 2TUPLE provide 2tuple provide 2TUPLE -- eof cafeobj-1.5.4/lib/lib/3tuple.cafe0000644000000000000000000000362312605345045015170 0ustar rootroot** ** Copyright (c) 2000-2015, Toshimi Sawada. All rights reserved. ** ** Redistribution and use in source and binary forms, with or without ** modification, are permitted provided that the following conditions ** are met: ** ** * Redistributions of source code must retain the above copyright ** notice, this list of conditions and the following disclaimer. ** ** * Redistributions in binary form must reproduce the above ** copyright notice, this list of conditions and the following ** disclaimer in the documentation and/or other materials ** provided with the distribution. ** ** THIS SOFTWARE IS PROVIDED BY THE AUTHOR 'AS IS' AND ANY EXPRESSED ** OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED ** WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ** ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY ** DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL ** DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE ** GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS ** INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, ** WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING ** NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS ** SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. ** sys:mod! 3TUPLE (C1 :: TRIV, C2 :: TRIV, C3 :: TRIV) { signature { [ 3Tuple ] op << _ ; _ ; _ >> : Elt.C1 Elt.C2 Elt.C3 -> 3Tuple { constr prec: 0 } op 1* _ : 3Tuple -> Elt.C1 { demod prec: 15 } op 2* _ : 3Tuple -> Elt.C2 { demod prec: 15 } op 3* _ : 3Tuple -> Elt.C3 { demod prec: 15 } } axioms { var e1 : Elt.C1 var e2 : Elt.C2 var e3 : Elt.C3 eq [:BDEMOD]: (1* (<< e1 ; e2 ; e3 >>)) = e1 . eq [:BDEMOD]: (2* (<< e1 ; e2 ; e3 >>)) = e2 . eq [:BDEMOD]: (3* (<< e1 ; e2 ; e3 >>)) = e3 . } } protect 3TUPLE provide 3tuple provide 3TUPLE -- eof cafeobj-1.5.4/lib/lib/4tuple.cafe0000644000000000000000000000406712605345045015174 0ustar rootroot** ** Copyright (c) 2000-2015, Toshimi Sawada. All rights reserved. ** ** Redistribution and use in source and binary forms, with or without ** modification, are permitted provided that the following conditions ** are met: ** ** * Redistributions of source code must retain the above copyright ** notice, this list of conditions and the following disclaimer. ** ** * Redistributions in binary form must reproduce the above ** copyright notice, this list of conditions and the following ** disclaimer in the documentation and/or other materials ** provided with the distribution. ** ** THIS SOFTWARE IS PROVIDED BY THE AUTHOR 'AS IS' AND ANY EXPRESSED ** OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED ** WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ** ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY ** DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL ** DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE ** GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS ** INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, ** WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING ** NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS ** SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. ** sys:mod! 4TUPLE (C1 :: TRIV, C2 :: TRIV, C3 :: TRIV, C4 :: TRIV) { signature { [ 4Tuple ] op << _ ; _ ; _ ; _ >> : Elt.C1 Elt.C2 Elt.C3 Elt.C4 -> 4Tuple { constr prec: 0 } op 1* _ : 4Tuple -> Elt.C1 { demod prec: 15 } op 2* _ : 4Tuple -> Elt.C2 { demod prec: 15 } op 3* _ : 4Tuple -> Elt.C3 { demod prec: 15 } op 4* _ : 4Tuple -> Elt.C4 { demod prec: 15 } } axioms { var e1 : Elt.C1 var e2 : Elt.C2 var e3 : Elt.C3 var e4 : Elt.C4 eq [:BDEMOD]: (1* (<< e1 ; e2 ; e3 ; e4 >>)) = e1 . eq [:BDEMOD]: (2* (<< e1 ; e2 ; e3 ; e4 >>)) = e2 . eq [:BDEMOD]: (3* (<< e1 ; e2 ; e3 ; e4 >>)) = e3 . eq [:BDEMOD]: (4* (<< e1 ; e2 ; e3 ; e4 >>)) = e4 . } } protect 4TUPLE provide 4tuple provide 4TUPLE -- eof cafeobj-1.5.4/lib/lib/base_bool.cafe0000644000000000000000000000424312605345045015700 0ustar rootroot** ** MODULE BASE-BOOL ** ** ** Copyright (c) 2000-2015, Toshimi Sawada. All rights reserved. ** ** Redistribution and use in source and binary forms, with or without ** modification, are permitted provided that the following conditions ** are met: ** ** * Redistributions of source code must retain the above copyright ** notice, this list of conditions and the following disclaimer. ** ** * Redistributions in binary form must reproduce the above ** copyright notice, this list of conditions and the following ** disclaimer in the documentation and/or other materials ** provided with the distribution. ** ** THIS SOFTWARE IS PROVIDED BY THE AUTHOR 'AS IS' AND ANY EXPRESSED ** OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED ** WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ** ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY ** DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL ** DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE ** GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS ** INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, ** WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING ** NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS ** SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. ** ** evq (setq *include-bool-save* *include-bool*) require truth set include BOOL off sys:mod! BASE-BOOL principal-sort Bool { imports { protecting (TRUTH) protecting (EQL) } signature { op _and_ : Bool Bool -> Bool { assoc comm prec: 55 r-assoc } op _and-also_ : Bool Bool -> Bool { strat: (1 0 2 0) prec: 55 r-assoc } op _or_ : Bool Bool -> Bool { assoc comm prec: 59 r-assoc } op _or-else_ : Bool Bool -> Bool { strat: (1 0 2 0) prec: 59 r-assoc } op _xor_ : Bool Bool -> Bool { assoc comm prec: 57 r-assoc } op not_ : Bool -> Bool { strat: (0 1) prec: 53 } op _implies_ : Bool Bool -> Bool { strat: (0 1 2) prec: 61 r-assoc } op _iff_ : Bool Bool -> Bool { strat: (0 1 2) prec: 63 r-assoc } } } evq (setq *include-bool* *include-bool-save*) protect BASE-BOOL provide base_bool -- eof cafeobj-1.5.4/lib/lib/bool.cafe0000644000000000000000000001267112605345045014712 0ustar rootroot** -*- Mode:CafeOBJ -*- ** system: Chaos ** module: library ** file: bool.mod ** ** Copyright (c) 2000-2015, Toshimi Sawada. All rights reserved. ** ** Redistribution and use in source and binary forms, with or without ** modification, are permitted provided that the following conditions ** are met: ** ** * Redistributions of source code must retain the above copyright ** notice, this list of conditions and the following disclaimer. ** ** * Redistributions in binary form must reproduce the above ** copyright notice, this list of conditions and the following ** disclaimer in the documentation and/or other materials ** provided with the distribution. ** ** THIS SOFTWARE IS PROVIDED BY THE AUTHOR 'AS IS' AND ANY EXPRESSED ** OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED ** WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ** ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY ** DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL ** DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE ** GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS ** INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, ** WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING ** NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS ** SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. ** ** ------------------------------------------------------------- lispq (setq *include-bool-save* *include-bool*) set include BOOL off require base_bool lispq (setq *include-bool-save* *include-bool*) set include BOOL off -- -- NOTE: You may need to modify `setup-BOOL' if you change -- the definition of module BOOL -- lispq (defun setup-bool () (unless *bootstrapping-bool* (setf *bootstrapping-bool* t) (unless (modexp-is-error (eval-modexp "BOOL")) (with-output-chaos-error ('more-than-one-bool) (format t "You cann not define BOOL module more than once in a session."))) (if (and *user-bool* (not (equal "" *user-bool*))) (cafeobj-input *user-bool*) (cafeobj-input "sys_bool")) ;; (setq *BOOL-module* (eval-modexp "BOOL")) (with-in-module (*bool-module*) (let* ((and-op-info (find-operator '("_" "and" "_") 2 *bool-module*)) (and-meth (lowest-method* (car (opinfo-methods and-op-info))))) (setq *bool-and* and-meth)) (let* ((or-op-info (find-operator '("_" "or" "_") 2 *bool-module*)) (or-meth (lowest-method* (car (opinfo-methods or-op-info))))) (setq *bool-or* or-meth)) (let* ((not-op-info (find-operator '("not" "_") 1 *bool-module*)) (not-meth (lowest-method* (car (opinfo-methods not-op-info))))) (setq *bool-not* not-meth)) (let* ((xor-op-info (find-operator '("_" "xor" "_") 2 *bool-module*)) (xor-meth (lowest-method* (car (opinfo-methods xor-op-info))))) (setq *bool-xor* xor-meth)) (let* ((imp-op-info (find-operator '("_" "implies" "_") 2 *bool-module*)) (imp-meth (lowest-method* (car (opinfo-methods imp-op-info))))) (setq *bool-imply* imp-meth)) (let* ((and-also (find-operator '("_" "and-also" "_") 2 *bool-module*)) (and-also-meth (lowest-method* (car (opinfo-methods and-also))))) (setq *bool-and-also* and-also-meth)) (let* ((or-else (find-operator '("_" "or-else" "_") 2 *bool-module*)) (or-else-meth (lowest-method* (car (opinfo-methods or-else))))) (setq *bool-or-else* or-else-meth)) (let* ((iff (find-operator '("_" "iff" "_") 2 *bool-module*)) (iff-meth (lowest-method* (car (opinfo-methods iff))))) (setq *bool-iff* iff-meth)) (setq *m-and-op* *bool-and-also*) (setq *m-or-op* *bool-or-else*)))) -- ** -- ** MODULE BOOL -- ** -- ** we don't want to include BOOL of course -- set include BOOL off -- sys:mod! BOOL -- principal-sort Bool -- { -- imports { -- protecting (TRUTH) -- protecting (EQL) -- } -- signature { -- op _and_ : Bool Bool -> Bool { assoc comm prec: 55 r-assoc } -- op _and-also_ : Bool Bool -> Bool { strat: (1 0 2) prec: 55 r-assoc } -- op _or_ : Bool Bool -> Bool { assoc comm prec: 59 r-assoc } -- op _or-else_ : Bool Bool -> Bool { strat: (1 0 2) prec: 59 r-assoc } -- op _xor_ : Bool Bool -> Bool { assoc comm prec: 57 r-assoc } -- op not_ : Bool -> Bool { strat: (0 1) prec: 53 } -- op _implies_ : Bool Bool -> Bool { strat: (0 1 2) prec: 61 r-assoc } -- op _iff_ : Bool Bool -> Bool { strat: (0 1 2) prec: 63 r-assoc } -- } -- axioms { -- var A : Bool -- var B : Bool -- var C : Bool -- eq false and A = false . -- eq true and A = A . -- eq A and A = A . -- eq A xor A = false . -- eq false xor A = A . -- eq A and (B xor C) = A and B xor A and C . -- eq A or A = A . -- eq false or A = A . -- eq true or A = true . -- eq A or B = A and B xor A xor B . -- eq not A = A xor true . -- eq A implies B = A and B xor A xor true . -- eq A iff B = A xor B xor true . -- eq A and-also false = false . -- eq false and-also A = false . -- eq A and-also true = A . -- eq true and-also A = A . -- eq A and-also A = A . -- eq false or-else A = A . -- eq A or-else false = A . -- eq true or-else A = true . -- eq A or-else true = true . -- } -- } ** setting up lispq (setup-bool) lispq (unless *bootstrapping-bool* (setup-tram-bool-modules) (init-builtin-universal) ) ** ** evq (setq *include-bool* *include-bool-save*) ** set include BOOL on ** provide bool ** eof cafeobj-1.5.4/lib/lib/character.cafe0000644000000000000000000000702412605345045015707 0ustar rootroot** ** Copyright (c) 2000-2015, Toshimi Sawada. All rights reserved. ** ** Redistribution and use in source and binary forms, with or without ** modification, are permitted provided that the following conditions ** are met: ** ** * Redistributions of source code must retain the above copyright ** notice, this list of conditions and the following disclaimer. ** ** * Redistributions in binary form must reproduce the above ** copyright notice, this list of conditions and the following ** disclaimer in the documentation and/or other materials ** provided with the distribution. ** ** THIS SOFTWARE IS PROVIDED BY THE AUTHOR 'AS IS' AND ANY EXPRESSED ** OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED ** WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ** ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY ** DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL ** DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE ** GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS ** INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, ** WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING ** NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS ** SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. ** sys:mod! CHARACTER principal-sort Character { imports { protecting (BOOL) protecting (NAT) protecting (CHAR-VALUE) } signature { op char-code : Character -> Nat { demod prec: 0 } op code-char : Nat -> Character { demod prec: 0 } op upcase : Character -> Character { demod prec: 0 } op downcase : Character -> Character { demod prec: 0 } pred graphic-char-p : Character { demod prec: 0 } pred alpha-char-p : Character { demod prec: 0 } pred upper-case-p : Character { demod prec: 0 } pred lower-case-p : Character { demod prec: 0 } pred both-case-p : Character { demod prec: 0 } pred digit-char-p : Character { demod prec: 0 } pred alphanumericp : Character { demod prec: 0 } pred char< : Character Character { demod prec: 0 } pred char> : Character Character { demod prec: 0 } pred char<= : Character Character { demod prec: 0 } pred char>= : Character Character { demod prec: 0 } pred char= : Character Character { demod prec: 0 } } axioms { var C : Character var C2 : Character var N : Nat eq [:BDEMOD]: char-code(C) = #! (char-code c) . ceq code-char(N) = #! (code-char n) if (N <= 255) . eq [:BDEMOD]: upcase(C) = #! (char-upcase c) . eq [:BDEMOD]: downcase(C) = #! (char-downcase c) . eq [:BDEMOD]: graphic-char-p(C) = #! (graphic-char-p c) . eq [:BDEMOD]: alpha-char-p(C) = #! (alpha-char-p c) . eq [:BDEMOD]: upper-case-p(C) = #! (upper-case-p c) . eq [:BDEMOD]: lower-case-p(C) = #! (lower-case-p c) . eq [:BDEMOD]: both-case-p(C) = #! (both-case-p c) . eq [:BDEMOD]: digit-char-p(C) = #! (digit-char-p c) . eq [:BDEMOD]: alphanumericp(C) = #! (alphanumericp c) . eq [:BDEMOD]: char=(C,C2) = #! (char= c c2) . eq [:BDEMOD]: char<(C,C2) = #! (char< c c2) . eq [:BDEMOD]: char>(C,C2) = #! (char> c c2) . eq [:BDEMOD]: char<=(C,C2) = #! (char<= c c2) . eq [:BDEMOD]: char>=(C,C2) = #! (char>= c c2) . } } lispq (defun chaos-character-tram-interface () (setq *z-char* (get-z-module-or-panic "CHARACTER")) (push *z-char* *tram-builtin-modules*)) lispq (eval-when (:execute :load-toplevel) (chaos-character-tram-interface)) protect CHARACTER provide character -- eof cafeobj-1.5.4/lib/lib/eql.cafe0000644000000000000000000000500212605345045014526 0ustar rootroot** -*- Mode:CafeOBJ -*- ** system: Chaos ** module: library ** file: eql.mod ** ** Copyright (c) 2000-2015, Toshimi Sawada. All rights reserved. ** ** Redistribution and use in source and binary forms, with or without ** modification, are permitted provided that the following conditions ** are met: ** ** * Redistributions of source code must retain the above copyright ** notice, this list of conditions and the following disclaimer. ** ** * Redistributions in binary form must reproduce the above ** copyright notice, this list of conditions and the following ** disclaimer in the documentation and/or other materials ** provided with the distribution. ** ** THIS SOFTWARE IS PROVIDED BY THE AUTHOR 'AS IS' AND ANY EXPRESSED ** OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED ** WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ** ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY ** DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL ** DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE ** GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS ** INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, ** WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING ** NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS ** SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. ** ** ------------------------------------------------------------- require truth -- system internal flag : on -> allow using universal sorts. -- Cosmos -- / \ -- Universal HUniveral set sys universal-sort on -- we don't want to include BOOL lispq (progn (setq *include-bool-save* *include-bool*) (setq *include-bool* nil)) sys:mod! EQL { protecting (TRUTH) pred _=_ : *Cosmos* *Cosmos* { comm strat:(1 2 0) prec: 51 } eq (CUX:*Cosmos* = CUX) = true . ceq [:nonexec]: CUX:*Cosmos* = CUY:*Cosmos* if (CUX = CUY) . ** ceq (CUX:*Cosmos* = CUY:*Cosmos*) = #!! (coerce-to-bool (!term-eq CUX CUY)) ** if (term-type(CUX) == :literal) . eq (true = false) = false . } lispq (defun setup-eql () (setq *eql-module* (eval-modexp "EQL")) (prepare-for-parsing *eql-module*) (with-in-module (*eql-module*) (let* ((eq-op (find-operator '("_" "=" "_") 2 *eql-module*)) (eq-meth (lowest-method* (car (opinfo-methods eq-op))))) (setq *eql-op* eq-meth)))) lispq (setup-eql) set sys universal-sort off lispq (setq *include-bool* *include-bool-save*) ** protect EQL provide eql ** eof ** EOF cafeobj-1.5.4/lib/lib/float.cafe0000644000000000000000000000666212605345045015067 0ustar rootroot** ** Copyright (c) 2000-2015, Toshimi Sawada. All rights reserved. ** ** Redistribution and use in source and binary forms, with or without ** modification, are permitted provided that the following conditions ** are met: ** ** * Redistributions of source code must retain the above copyright ** notice, this list of conditions and the following disclaimer. ** ** * Redistributions in binary form must reproduce the above ** copyright notice, this list of conditions and the following ** disclaimer in the documentation and/or other materials ** provided with the distribution. ** ** THIS SOFTWARE IS PROVIDED BY THE AUTHOR 'AS IS' AND ANY EXPRESSED ** OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED ** WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ** ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY ** DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL ** DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE ** GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS ** INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, ** WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING ** NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS ** SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. ** sys:mod! FLOAT principal-sort Float { imports { protecting (FLOAT-VALUE) protecting (BOOL) } signature { op _ + _ : Float Float -> Float { assoc comm demod prec: 33 r-assoc } op _ - _ : Float Float -> Float { demod prec: 33 r-assoc } op _ * _ : Float Float -> Float { assoc comm demod prec: 31 r-assoc } op _ / _ : Float Float -> Float { demod prec: 31 l-assoc } op _ rem _ : Float Float -> Float { demod prec: 31 l-assoc } op exp : Float -> Float { demod prec: 0 } op log : Float -> Float { demod prec: 0 } op sqrt : Float -> Float { demod prec: 0 } op abs : Float -> Float { demod prec: 0 } op sin : Float -> Float { demod prec: 0 } op cos : Float -> Float { demod prec: 0 } op atan : Float -> Float { demod prec: 0 } op pi : -> Float { demod prec: 0 } pred _ < _ : Float Float { demod prec: 51 } pred _ <= _ : Float Float { demod prec: 51 } pred _ > _ : Float Float { demod prec: 51 } pred _ >= _ : Float Float { demod prec: 51 } pred _ = [ _ ] _ : Float Float Float { demod prec: 51 } } axioms { var X : Float var Y : Float var Z : Float eq [:BDEMOD]: (X + Y) = #! (+ x y) . eq [:BDEMOD]: (X - Y) = #! (- x y) . eq [:BDEMOD]: (X * Y) = #! (* x y) . eq [:BDEMOD]: (X / Y) = #! (/ x y) . eq [:BDEMOD]: (X rem Y) = #! (rem x y) . eq [:BDEMOD]: exp(X) = #! (exp x) . eq [:BDEMOD]: log(X) = #! (log x) . eq [:BDEMOD]: sqrt(X) = #! (sqrt x) . eq [:BDEMOD]: abs(X) = #! (abs x) . eq [:BDEMOD]: sin(X) = #! (sin x) . eq [:BDEMOD]: cos(X) = #! (cos x) . eq [:BDEMOD]: atan(X) = #! (atan x) . eq [:BDEMOD]: pi = #! pi . eq [:BDEMOD]: (X < Y) = #! (< x y) . eq [:BDEMOD]: (X <= Y) = #! (<= x y) . eq [:BDEMOD]: (X > Y) = #! (> x y) . eq [:BDEMOD]: (X >= Y) = #! (>= x y) . eq [:BDEMOD]: (X = [ Z ] Y) = #! (< (abs (- x y)) z) . } } lispq (defun chaos-float-tram-interface () (setq *z-float* (get-z-module-or-panic "FLOAT")) (push *z-float* *tram-builtin-modules*)) lispq (eval-when (:execute :load-toplevel) (chaos-float-tram-interface)) protect FLOAT provide float ** EOF cafeobj-1.5.4/lib/lib/fopl.cafe0000644000000000000000000003331712605345045014717 0ustar rootroot** -*- Mode:CafeOBJ -*- ** system: Chaos ** module: PigNose ** file: fopl.mod ** ** Copyright (c) 2000-2015, Toshimi Sawada. All rights reserved. ** ** Redistribution and use in source and binary forms, with or without ** modification, are permitted provided that the following conditions ** are met: ** ** * Redistributions of source code must retain the above copyright ** notice, this list of conditions and the following disclaimer. ** ** * Redistributions in binary form must reproduce the above ** copyright notice, this list of conditions and the following ** disclaimer in the documentation and/or other materials ** provided with the distribution. ** ** THIS SOFTWARE IS PROVIDED BY THE AUTHOR 'AS IS' AND ANY EXPRESSED ** OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED ** WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ** ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY ** DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL ** DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE ** GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS ** INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, ** WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING ** NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS ** SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. ** ** ------------------------------------------------------------- ** Syntax of First Order Predicate Logic with Equality (FOPLE), ** coded in CafeOBJ. This is used by CafeOBJ's resolution based ** inference engine "PigNose". ** ** --------------------- ** "1. ABSTRACT SYNTAX" ** --------------------- -- Abstract syntax is defined by the modules depicted below: " T&F -(TVAL)-> ABS-FOPL(TVAL) | | (TVAL) (BASE-SYNTAX) | | v v ABS-FOPL+EQ-1(TVAL, BASE-SYNTAX(TVAL)) " ** << BASIC THEORY MODULES >> -- T&F : defines truth value. -- ABS-FOPL : parameterized by T&V, and defines FOPL sentence. -- ABS-FOPL+EQ-1 : parameterized by T&V and ABS-FOPL with sharing -- T&V(truth vlaue), defines FOPL having an equality. -- ** we don't want BOOL to be imported implicitly set include BOOL off ** prefer very quiet mode set quiet on ** TRUTH VALUE sys:module* T&F { [ TruthValue ] ops #t #f : -> TruthValue } protect T&F ** Abstract Syntax sys:module* ABS-FOPL (TVAL :: T&F) { ** Sentence is for general sentence of FOPL. ** NOTE: "We do not treat open formula." -- if we enconter an open formula, we take its unversal closure -- for free variables. -- we don't distinguish atoms or formulas, etc. at this level. [ TruthValue < Sentence ] ** connectives -- and op and : Sentence Sentence -> Sentence -- or op or : Sentence Sentence -> Sentence -- imply op imply : Sentence Sentence -> Sentence -- iff op iff : Sentence Sentence -> Sentence -- not op not : Sentence -> Sentence ** quantifiers -- Var is for bound logical variables of quatified formulas. [ Var ] op forall : Var Sentence -> Sentence op exists : Var Sentence -> Sentence } protect ABS-FOPL -- ;;; binding Lisp variable *allow-universal-sort* to t -- ;;; allows users to access invisible system's universal -- ;;; sorts. lispq (setq *allow-universal-sort* t) ** ABS-FOPL+EQ-1, -- theory module defining abstract syntax of FOPL with an equality. -- "NOTE: We treate only equalities of CafeOBJ. Completely ignore `transition' relation of `Rwriting Logic. " sys:module* ABS-FOPL+EQ-1 (TVAL :: T&F) { protecting (ABS-FOPL(TVAL)) ** equality op eq : *Cosmos* *Cosmos* -> Sentence } protect ABS-FOPL+EQ-1 ** this is similar to the above, but have two different types of ** equalities. not used for now. -- module* ABS-FOPL+EQ-2 (TVAL :: T&F) -- { -- protecting (ABS-FOPL(TVAL)) -- ** equalities -- -- * eq : to be interpreted initially. -- -- * beq : to be interpreted loosely (behaviouraly). -- -- we prepare two kinds of equality here, because underlying logic -- -- of CafeOBJ module has corresponding equalities defined by -- -- `(c)eq' and '(c)beq'delaration form respectively. -- op eq : Cosmos Cosmos -> Sentence -- op beq : Cosmos Cosmos -> Sentence -- } ** ---------------------------------------------------- ** "2. MEDIATING MODULES for PRODUCING CONCRETE SYNTAX" ** ---------------------------------------------------- sys:module! MFOPL(TVAL :: T&F, SYNTAX :: ABS-FOPL(TVAL)){} sys:module! MFOPL+EQ-1(TVAL :: T&F, SYNTAX :: ABS-FOPL+EQ-1(TVAL)){} protect MFOPL protect MFOPL+EQ-1 ** -------------------- ** "3. CONCRETE-SYNTAX" ** -------------------- "** NOTE ** The rest of the codes in this file are very implementation specific." -- Here are our general priciple of coding FOPL in our system: " 1. use built-in sort Bool for truth value of FOPL." -- (see the view `bool-as-truth-vlaue' below for the definition). -- then, ordinal Bool-valued operations are considerd as predicates. -- more precicely, they are treated as characteristic functions of -- corresponding predicates(if we derive p(t) = true, p(t) is a -- theorem.) -- NOTE: Some important execptions are described in "2" below. -- -- We are now faced with two levels of logical reasoning: the -- clause level (in FOPL) and the term level (world of CafeOBJ). -- we will simulate inference rules of FOPL on the term level. -- but to work reasonably on both level simultaneously -- (to keep the system sound w.r.t FOPL), the followings are -- necessary: -- (1) for every Bool valued operation p, -- any valid ground term `p(w)' must be either true or false, -- i.e.,`p(w) = true' or `p(w) = false' is a theorem. -- in other words, Bool must have exactly two elements denoting -- truth values (true and false.) -- (2) and of cource `true == false' must not be drivable. -- " 2. operators having Bool in its arity." -- 1. raises a problem in treating operators having Bool in its -- arity. any terms with such operators as root cannot be a valid -- sentence in FOPL. there are two cases: -- (a) op P : ... Bool ... -> Bool -- (b) op Q : ... Bool ... -> S -- S is not Bool -- -- Basically, if one want to use PigNose system, one cannot -- define such operators, otherwise the result is unknown. -- System (may) warn if it found such operations. -- -- But, built-in module BOOL does define such operators, -- and how about equality operators? -- -- One of the reason we adopt sort Bool as truth value is -- the usage of BOOL module by CafeOBJ users. BOOL provides -- basic vehicle of logical calclus and people use it as such, -- e.g, if we can show (t == t') = true, we conclude t = t'. -- And Bool-valued terms are used as the condition part of axioms, -- this is rather ungly, but its too late for now. -- -- "Here is the way we took:" -- Lift up (partially) operations of BOOL to FOPL level. -- * "and" ---> & -- * "or" ---> | -- * "not" ---> ~ -- * "implies" ---> -> -- * "xor" ---> (p | q) & (~p | ~q) -- -- "We ignore all other operators". -- This means that users cannot use other operations. -- -- * We don't use above operations directly at FOPL level, -- instead system translate them to operators of FOPL -- in automatic manner. -- * Axioms of above operators are "not" used in inference. -- -- "if_then_else_fi" -- Users "cannot" use if_then_else_fi. We don't provide any -- support for this operator. Also the following operators -- has no support: -- * "and-also" -- * "or-else" -- -- For the equality operations see "3" below. -- " 3. treatment of built-in equality operators:" -- We have two built-in equality operators == and =b= in CafeOBJ. -- in other words, we already internalize equalities of CafeOBJ -- in itself, i.e., if we derive `(t == t') = true' we can conclude -- t = t'(same as for =b=). -- We throw away these internalization at FOPL level and maps -- == (=b=) to equality of FOPL =. We do not distinguish == and =b= -- at FOPL level. -- Like "and" etc. we translate == and =b= to = of FOPL, do not directly -- use them in FOPL. -- System provides automatic translation of a formula (a term at CafeOBJ -- level) having `==', or `=b=' (and `and', `or' etc. also) to pure proper -- formula of FOPL. -- " 4. other built-in CafeOBJ predicates:" -- All of the other built-in predicates will not supported: -- They are -- "==>" -- "=(*)=>" -- ":is" -- " 5. Axioms of CafeOBJ moudule" -- (A) Transitions are NOT supported. System does not provide any support. -- They are completely ignored. -- -- (B) LHS = RHS if COND -- translated to -- "[Vars] COND -> LHS = RHS" -- ("~(COND) | LHS = RHS" in clause form.) -- ** ** built-in Bool as truth value of FOPL ** view bool-as-truth-value from T&F to TRUTH-VALUE { sort TruthValue -> Bool, op #t -> true, op #f -> false } ** instance of concrete syntax of FOPL -- assumes that view bool-as-truth-value will be used together -- with this for instantiating FOPL. sys:module! FOPL-BASIC { protecting (TRUTH-VALUE) ** operators with coarity Bool are treated as predicates. -- we do not distingish `atom' and `formula' here, -- instead we simply declare `FoplSentence' for sentences of first -- order predicate logic. -- NOTE: FoplSentences are used as interface language only, -- they will be transfered to sets of clause for real -- computations. [ Bool < FoplSentence, VarDeclList ] ** VarDeclList is for declaring bound logical variables of -- quantifiers. we use CafeOBJ variables for logical variables -- of FOPL to be defined. this causes no problem, because -- all variables in ordinal terms are treated as universally -- quantified logical variables in corresponding clauses. ** wanted to be more neat and clean,.. op _,_ : *Cosmos* *Cosmos* -> VarDeclList { r-assoc } ** quantifiers : note precedence is defined as very low. -- forall op \A[_]_ : *Cosmos* FoplSentence -> FoplSentence {prec: 125 strategy:(0)} -- exists op \E[_]_ : *Cosmos* FoplSentence -> FoplSentence {prec: 125 strategy:(0)} ** connectives -- and op _&_ : FoplSentence FoplSentence -> FoplSentence {prec: 101 r-assoc strategy:(0)} -- or op _|_ : FoplSentence FoplSentence -> FoplSentence {prec: 107 r-assoc strategy: (0)} -- implies op _->_ : FoplSentence FoplSentence -> FoplSentence {prec: 120 r-assoc strategy: (0)} -- iff op _<->_ : FoplSentence FoplSentence -> FoplSentence {prec: 120 r-assoc strategy:(0)} -- not : note very high precedence op ~_ : FoplSentence -> FoplSentence {prec: 0 strategy:(0)} } protect FOPL-BASIC ** instance of concrete syntax of FOPL with an equality ** sys:module! FOPL-BASIC+EQ-1 { protecting (FOPL-BASIC) op _=_ : *Cosmos* *Cosmos* -> FoplSentence {prec: 51 strategy: (0)} } protect FOPL-BASIC+EQ-1 ** instance of concrete syntax of FOPL with two equality -- module! FOPL-BASIC+EQ-2 -- { -- protecting (FOPL-BASIC+EQ-1) -- op _*=*_ : Cosmos Cosmos -> FoplSentence -- {prec: 113 strategy: (0)} -- } ** The concrete syntax we use. ** FOPL-SENTENCE ** make FOPLE-SENTENCE (MFOPL+EQ-1(bool-as-truth-value, FOPL-BASIC+EQ-1 { sort Sentence -> FoplSentence, sort Var -> *Cosmos*, op and -> _&_, op or -> _|_, op imply -> (_->_), op iff -> _<->_, op forall -> \A[_]_, op exists -> \E[_]_, op not -> ~_, op eq -> _=_})) protect FOPLE-SENTENCE ** ** We need some Lisp accessible values for PigNose engine. ** ** `install-fopl-sentece' treat this. lispq (install-fopl-sentence "FOPLE-SENTENCE" :eq '("_" "=" "_")) ** >>NOT USED<< -- internal representation of formula: -- -- module! FOPL-CLAUSE-FORM -- { -- protecting(FOPL-SENTENCE) -- [ FoplClause, -- FoplSentence < FoplSentenceSeq ] -- op _;_ : FoplSentenceSeq FoplSentenceSeq -> FoplSentenceSeq {r-assoc} -- -- ![_] performs formula to clause form translation. just for debug. -- op ![_] : FoplSentenceSeq -> FoplClause -- op [_] : FoplSentenceSeq -> FoplClause -- } -- lispq (install-fopl-clause-form) ** Users must import this to use "PigNose". ** ** FOPL-CLAUSE sys:module! FOPL-CLAUSE { protecting (FOPLE-SENTENCE) -- built-in equality demodulators. pred EQ : *Cosmos* *Cosmos* {demod} pred NE : *Cosmos* *Cosmos* {demod} -- for answer literal. pred $Ans : *Cosmos* eq[:BDEMOD]: EQ(X:*Cosmos*, Y:*Cosmos*) = #!! (coerce-to-bool (term-equational-equal x y)) . eq[:BDEMOD]: NE(X:*Cosmos*, Y:*Cosmos*) = #!! (coerce-to-bool (not (term-equational-equal x y))) . } ** for internalize $Ans lispq (install-fopl-clause) ** We don't need to touch universal sort any more. lispq (setq *allow-universal-sort* nil) ** built in for invariance check. lispq (setq *pn-proof-module* (eval-ast (%module-decl* "( invariance check )" :object :hard nil))) lispq (setq *pn-refinement-check-module* (eval-ast (%module-decl* "( refinment check )" :object :hard nil))) lispq (progn (setf (module-hidden *pn-proof-module*) t) (setf (module-hidden *pn-refinement-check-module*) t)) lispq (setq .pn-ignore-ops. (list *bool-and* *bool-or* *bool-not* *sort-membership* *bool-if* *bool-imply* *bool-iff* *bool-xor* *bool-equal* *beh-equal* *bool-nonequal* *beh-eq-pred* *bool-and-also* *bool-or-else*)) ** set include BOOL on set quiet off **> providing fopl protect FOPL-CLAUSE provide fopl provide FOPL-CLAUSE ** eof cafeobj-1.5.4/lib/lib/identical.cafe0000644000000000000000000000566212605345045015715 0ustar rootroot** -*- Mode:CafeOBJ -*- ** system: Chaos ** module: library ** file: identical.mod ** ** Copyright (c) 2000-2015, Toshimi Sawada. All rights reserved. ** ** Redistribution and use in source and binary forms, with or without ** modification, are permitted provided that the following conditions ** are met: ** ** * Redistributions of source code must retain the above copyright ** notice, this list of conditions and the following disclaimer. ** ** * Redistributions in binary form must reproduce the above ** copyright notice, this list of conditions and the following ** disclaimer in the documentation and/or other materials ** provided with the distribution. ** ** THIS SOFTWARE IS PROVIDED BY THE AUTHOR 'AS IS' AND ANY EXPRESSED ** OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED ** WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ** ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY ** DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL ** DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE ** GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS ** INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, ** WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING ** NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS ** SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. ** ** ------------------------------------------------------------- -- -- NOTE: You may need to modify `setup-identical' if you change -- the definition of module IDENTICAL -- lispq (defun setup-identical () (let ((id-opinfo nil) (nid-opinfo nil)) (setf *IDENTICAL-module* (eval-modexp "IDENTICAL")) (with-in-module (*identical-module*) (setf id-opinfo (find-operator '("_" "===" "_") 2 *identical-module*)) (setf *identical* (lowest-method* (car (opinfo-methods id-opinfo)))) (setf nid-opinfo (find-operator '("_" "=/==" "_") 2 *identical-module*)) (setf *nonidentical* (lowest-method* (car (opinfo-methods nid-opinfo)))) ))) ** allow using universal sorts set sys universal-sort on ** we want to be very explicit here lispq (progn (setq *include-bool-save* *include-bool*) (setq *include-bool* nil)) ** ** IDENTICAL ** sys:mod! IDENTICAL principal-sort Bool { imports { protecting (BOOL) } signature { pred _===_ : *Universal* *Universal* { strat: (0) prec: 51 } pred _=/==_ : *Universal* *Universal* { strat: (0) prec: 51 } } axioms { var XU : *Universal* var YU : *Universal* eq XU === YU = #!! (coerce-to-bool (term-is-similar? xu yu)) . eq XU =/== YU = #!! (coerce-to-bool (not (term-is-similar? xu yu))) . } } ** setting up lispq (setup-identical) lispq (setup-tram-bool-modules) lispq (init-builtin-universal) ** set sys universal-sort off lispq (setq *include-bool* *include-bool-save*) ** protect IDENTICAL provide identical ** eof cafeobj-1.5.4/lib/lib/int.cafe0000644000000000000000000000564712605345045014556 0ustar rootroot** ** Copyright (c) 2000-2015, Toshimi Sawada. All rights reserved. ** ** Redistribution and use in source and binary forms, with or without ** modification, are permitted provided that the following conditions ** are met: ** ** * Redistributions of source code must retain the above copyright ** notice, this list of conditions and the following disclaimer. ** ** * Redistributions in binary form must reproduce the above ** copyright notice, this list of conditions and the following ** disclaimer in the documentation and/or other materials ** provided with the distribution. ** ** THIS SOFTWARE IS PROVIDED BY THE AUTHOR 'AS IS' AND ANY EXPRESSED ** OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED ** WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ** ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY ** DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL ** DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE ** GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS ** INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, ** WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING ** NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS ** SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. ** sys:mod! INT principal-sort Int { imports { protecting (NAT) protecting (INT-VALUE) } signature { pred _ divides _ : NzInt Int { demod prec: 51 } op _ rem _ : Int NzInt -> Int { demod prec: 31 } op _ quo _ : Int NzInt -> Int { demod prec: 31 } op _ + _ : Int Int -> Int { assoc comm idr: 0 demod prec: 33 } op _ * _ : Int Int -> Int { assoc comm idr: 1 demod prec: 31 } pred _ < _ : Int Int { demod prec: 51 } pred _ <= _ : Int Int { demod prec: 51 } pred _ > _ : Int Int { demod prec: 51 } pred _ >= _ : Int Int { demod prec: 51 } op s _ : Int -> Int { strat: (0 1) demod prec: 15 } op _ - _ : Int Int -> Int { strat: (0 1 2) demod prec: 33 r-assoc } op - _ : Int -> Int { demod prec: 15 } op - _ : NzInt -> NzInt { demod prec: 15 } } axioms { var I : Int var J : Int var NJ : NzInt eq [:BDEMOD]: (- I) = #! (- i) . eq [:BDEMOD]: (I + J) = #! (+ i j) . eq [:BDEMOD]: (I - J) = (I + (- J)) . eq [:BDEMOD]: (I * J) = #! (* i j) . eq [:BDEMOD]: (I quo NJ) = #! (truncate i nj) . eq [:BDEMOD]: (I rem NJ) = #! (rem i nj) . eq [:BDEMOD]: (NJ divides I) = #! (= 0 (rem i nj)) . eq [:BDEMOD]: (I < J) = #! (< i j) . eq [:BDEMOD]: (I <= J) = #! (<= i j) . eq [:BDEMOD]: (I > J) = #! (> i j) . eq [:BDEMOD]: (I >= J) = #! (>= i j) . eq [:BDEMOD]: (s I) = (1 + I) . } } lispq (defun chaos-int-tram-interface () (setq *z-int* (get-z-module-or-panic "INT")) (push *z-int* *tram-builtin-modules*)) lispq (eval-when (:execute :load-toplevel) (chaos-int-tram-interface)) provide int protect INT -- eof cafeobj-1.5.4/lib/lib/metalevel.cafe0000644000000000000000000003703412605345045015735 0ustar rootroot** ** CafeOBJ MetaLevel Core ** ** Copyright (c) 2000-2015, Toshimi Sawada. All rights reserved. ** ** Redistribution and use in source and binary forms, with or without ** modification, are permitted provided that the following conditions ** are met: ** ** * Redistributions of source code must retain the above copyright ** notice, this list of conditions and the following disclaimer. ** ** * Redistributions in binary form must reproduce the above ** copyright notice, this list of conditions and the following ** disclaimer in the documentation and/or other materials ** provided with the distribution. ** ** THIS SOFTWARE IS PROVIDED BY THE AUTHOR 'AS IS' AND ANY EXPRESSED ** OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED ** WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ** ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY ** DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL ** DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE ** GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS ** INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, ** WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING ** NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS ** SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. ** ** sys:mod! :SET(X :: TRIV) { protecting (BOOL) protecting (NAT) [ Elt.X < NeSet < Set ] op empty : -> Set {ctor} op _;_ : Set Set -> Set {ctor assoc comm id: empty prec: 43} op _;_ : NeSet Set -> NeSet {ctor assoc comm id: empty prec: 43} var E : Elt.X var N : NeSet vars A S S' : Set var C : Nat op !espattern : Elt.X Set -> Bool eq !espattern(E, (N ; S)) = true . eq N ; N = N . op insert : Elt.X Set -> Set eq insert(E, S) = E ; S . op delete : Elt.X Set -> Set eq delete(E, (E ; S)) = delete(E, S) . ceq delete(E, S) = S if !espattern(E, S) =/= true . op _in_ : Elt.X Set -> Bool eq E in (E ; S) = true . ceq E in S = false if !espattern(E,S) =/= true . op |_| : Set -> Nat op |_| : NeSet -> NzNat eq | S | = $card(S, 0) . op $card : Set Nat -> Nat eq $card(empty, C) = C . eq $card((N ; N ; S), C) = $card((N ; S), C) . ceq $card((E ; S), C) = $card(S, C + 1) if !espattern(E, S) =/= true . op union : Set Set -> Set op union : NeSet Set -> NeSet op union : Set NeSet -> NeSet eq union(S, S') = S ; S' . op intersection : Set Set -> Set eq intersection(S, empty) = empty . eq intersection(S, N) = $intersect(S, N, empty) . op $intersect : Set Set Set -> Set eq $intersect(empty, S', A) = A . eq $intersect((E ; S), S', A) = $intersect(S, S', if E in S' then E ; A else A fi) . op _\_ : Set Set -> Set eq S \ empty = S . eq S \ N = $diff(S, N, empty) . op $diff : Set Set Set -> Set eq $diff(empty, S', A) = A . eq $diff((E; S), S', A) = $diff(S, S', if E in S' then A else E ; A fi) . op _subset_ : Set Set -> Bool . eq empty subset S' = true . eq (E ; S) subset S' = E in S' and-also S subset S' . op _psubset_ : Set Set -> Bool . eq S psubset S' = S =/= S' and-also S subset S' . } sys:mod! :LIST(X :: TRIV) { protecting (NAT) [ Elt.X < NeList < List ] op nil : -> List {ctor} op __ : List List -> List {ctor assoc id: nil prec: 25} op __ : NeList List -> NeList {ctor assoc id: nil prec: 25} op __ : List NeList -> NeList {ctor assoc id: nil prec: 25} vars E E' : Elt.X vars A L : List var C : Nat op append : List List -> List op append : NeList List -> NeList op append : List NeList -> NeList eq append(A, L) = A L . op head : NeList -> Elt.X eq head(E L) = E . op tail : NeList -> List eq tail(E L) = L . op last : NeList -> Elt.X eq last(L E) = E . op front : NeList -> List eq front(L E) = L . op occurs : Elt.X List -> Bool eq occurs(E, nil) = false . eq occurs(E, E' L) = if E == E' then true else occurs(E, L) fi . op reverse : List -> List op reverse : NeList -> NeList eq reverse(L) = $reverse(L, nil) . op $reverse : List List -> List eq $reverse(nil, A) = A . eq $reverse(E L, A) = $reverse(L, E A). op size : List -> Nat . op size : NeList -> NzNat eq size(L) = $size(L, 0) . op $size : List Nat -> Nat eq $size(nil, C) = C . eq $size(E L, C) = $size(L, C + 1) . } sys:mod! NAT-LIST {protecting (:LIST(NAT) * {sort NeList -> NeNatList, sort List -> NatList})} sys:mod! QID-LIST {protecting (:LIST(QID) * {sort NeList -> NeQidList, sort List -> QidList})} sys:mod! QID-SET {protecting (:SET(QID) * {sort NeSet -> NeQidSet, sort Set -> QidSet})} ** ** META-TERM ** mod! META-TERM { protecting (QID) ** Sort ** bsort Sort (is-sort-token create-sort-object print-meta-sort-object is-sort-object nil) [ SortId < Qid ] ** terms bsort Constant (is-constant-token create-constant-object print-constant-object is-constant-object nil) bsort Variable (is-variable-token create-variable-object print-variable-object is-variable-object nil) [ Constant Variable < TermQid < Qid Term, Constant < GroundTerm < Term NeGroundTermList < NeTermList, NeGroundTermList < NeTermList GroundTermList < TermList ] op empty : -> GroundTermList {ctor} op _,_ : NeGroundTermList GroundTermList -> NeGroundTermList {ctor assoc id: empty prec 121} op _,_ : GroundTermList NeGroundTermList -> NeGroundTermList {ctor assoc id: empty prec 121} op _,_ : GroundTermList GroundTermList -> GroundTermList {ctor assoc id: empty prec 121} op _,_ : NeTermList TermList -> NeTermList {ctor assoc id: empty prec 121} op _,_ : TermList NeTermList -> NeTermList {ctor assoc id: empty prec 121} op _,_ : TermList TermList -> TermList {ctor assoc id: empty prec 121} op _[_] : Qid NeGroundTermList -> GroundTerm {ctor} op _[_] : Qid NeTermList -> Term {ctor} ** contexts (terms with a single hole) [ Context < NeCTermList < GTermList, TermList < GTermList ] op [] : -> Context {ctor} op _,_ : TermList NeCTermList -> NeCTermList {ctor assoc id: empty prec 121} op _,_ : NeCTermList TermList -> NeCTermList {ctor assoc id: empty prec 121} op _,_ : GTermList GTermList -> GTermList {ctor assoc id: empty prec 121} op _[_] : Qid NeCTermList -> Context {ctor} ** extraction of names and types op getName : Constant -> Qid op getType : Constant -> SortId var C : Constant eq getName(C) = qid(substring(string(C), 0, rfind('.', string(C), 0))) . eq getType(C) = qid(substring(string(C), rfind('.', string(C), 0) + 1)) . op getName : Variable -> Qid op getType : Variable -> SortId var V : Variable eq getName(V) = qid(substring(string(V), 0, rfind(':', string(V), 0))) . eq getType(V) = qid(substring(string(V), rfind(':', string(V), 0) + 1)) . ** substitutions [ Assignment < Substitution ] op _<-_ : Variable Term -> Assignment {ctor prec 63} op none : -> Substitution {ctor} op _;_ : Substitution Substitution -> Substitution {ctor assoc comm id: none prec 65} eq A:Assignment ; A:Assignment = A:Assignment . } mod! META-MODULE { protecting (META-TERM) protecting (NAT-LIST) protecting (QID-LIST) protecting (QID-SET * {op empty -> none}) ** subsort declarations [ SubsortDecl < SubsortDeclSet ] op [_<_] : SortId SortId -> SubsortDecl {ctor} op none : -> SubsortDeclSet {ctor} op __ : SubsortDeclSet SubsortDeclSet -> SubsortDeclSet {ctor assoc comm id: none} eq S:SubsortDecl S:SubsortDecl = S:SubsortDecl . ** sort set [ EmptySortSet < SortSet < QidSet] [ SortId < NeSortSet < SortSet ] [ NeSortSet < NeQidSet ] op none : -> EmptySortSet {ctor} op _;_ : SortSet SortSet -> SortSet {ctor assoc comm id: none prec: 43} op _;_ : NeSortSet SortSet -> NeSortSet {ctor assoc comm id: none prec: 43} op _;_ : EmptySortSet EmptySortSet -> EmptySortSet {ctor assoc comm id: none prec: 43} ** sort lists [ NeSortList SortList ] [ SortId < NeSortList < SortList < QidList ] op nil : -> SortList {ctor} op __ : SortList SortList -> SortList {ctor assoc comm id: nil} op __ : NeSortList SortList -> NeSortList {ctor assoc comm id: nil} op __ : SortList NeSortList -> NeSortList {ctor assoc comm id: nil} eq T:SortList ; T:SortList = T:SortList . ** sets of sort lists [ SortList SortSet < SortListSet ] op none : -> SortListSet op _;_ : SortListSet SortListSet -> SortListSet {ctor assoc comm id: none prec: 43} ** attribute sets [ Attr < AttrSet ] op none : -> AttrSet {ctor} op __ : AttrSet AttrSet -> AttrSet {ctor assoc comm id: none} eq A:Attr A:Attr = A:Attr . ** renamings [ Renaming < RenamingSet ] op (sort_->_) : Qid Qid -> Renaming {ctor} op (op_->_) : Qid Qid -> Renaming {ctor} op (op_:_->_to_) : Qid SortList SortId Qid -> Renaming {ctor} op label_->_ : Qid Qid -> Renaming {ctor} op _,_ : RenamingSet RenamingSet -> RenamingSet {ctor assoc comm prec: 43} ** parameter lists [ Sort < NeParameterList < ParameterList ] [ EmptyCommaList < GroundTermList ParameterList ] op empty : -> EmptyCommaList {ctor} op _,_ : ParameterList ParameterList -> ParameterList {ctor assoc comm prec: 43} op _,_ : NeParameterList ParameterList -> NeParameterList {ctor assoc comm prec: 43} op _,_ : ParameterList NeParameterList -> NeParameterList {ctor assoc comm prec: 43} op _,_ : EmptyCommaList EmptyCommaList -> EmptyCommaList {ctor assoc comm prec: 43} ** module expressions [ Qid < ModuleExpression ] op _+_ : ModuleExpression ModuleExpression -> ModuleExpression {ctor assoc comm} op _*{_} : ModuleExpression RenamingSet -> ModuleExpression {ctor prec: 39} op _[_] : ModuleExpression ParameterList -> ModuleExpression {ctor prec: 37} ** parameter declarations [ ParameterDecl < NeParameterDeclList < ParameterDeclList ] op _::_ : Sort ModuleExpression -> ParameterDecl . op nil : -> ParameterDeclList [ctor] . op _,_ : ParameterDeclList ParameterDeclList -> ParameterDeclList {ctor assoc id: nil prec: 121} op _,_ : NeParameterDeclList ParameterDeclList -> NeParameterDeclList {ctor assoc id: nil prec: 121} op _,_ : ParameterDeclList NeParameterDeclList -> NeParameterDeclList {ctor assoc id: nil prec: 121} ** importations [ Import < ImportList ] op protecting : ModuleExpression -> Import {ctor} op extending : ModuleExpression -> Import {ctor} op including : ModuleExpression -> Import {ctor} op nil : -> ImportList {ctor} op __ : ImportList ImportList -> ImportList {ctor assoc id: nil} ** operator attributes op assoc : -> Attr {ctor} op comm : -> Attr {ctor} op idem : -> Attr [ctor] op (id:) : Term -> Attr {ctor} op (idr:) : Term -> Attr {ctor} op l-assoc : -> Attr {ctor} op r-assoc : -> Attr {ctor} op (strat:) : NeNatList -> Attr {ctor} op memo : -> Attr {ctor} op (prec:) : Nat -> Attr {ctor} op ctor : -> Attr {ctor} ** statement attributes op label : Qid -> Attr {ctor} op :nonexec : -> Attr {ctor} ** operator declarations [ OpDecl < OpDeclSet ] op (op_:_->_{_}) : Qid SortList Sort AttrSet -> OpDecl {ctor} op none : -> OpDeclSet {ctor} op __ : OpDeclSet OpDeclSet -> OpDeclSet {ctor assoc comm id: none} eq O:OpDecl O:OpDecl = O:OpDecl . ** conditions [ EqCondition < Condition ] op nil : -> EqCondition {ctor} op _=_ : Term Term -> EqCondition {ctor prec: 71} op (_:_) : Term Sort -> EqCondition {ctor prec: 71} op (_:=_): Term Term -> EqCondition {ctor prec: 71} op _=>_ : Term Term -> Condition {ctor prec: 71} op _/\_ : EqCondition EqCondition -> EqCondition {ctor assoc id: nil prec: 73} op _/\_ : Condition Condition -> Condition {ctor assoc id: nil prec: 73} ** equations [ Equation < EquationSet ] op (eq[_]:_=_.) : AttrSet Term Term -> Equation {ctor} op (ceq[_]:_=_if_.) : AttrSet Term Term EqCondition -> Equation {ctor} op none : -> EquationSet {ctor} op __ : EquationSet EquationSet -> EquationSet{ctor assoc comm id: none} eq E:Equation E:Equation = E:Equation . ** rules [ Rule < RuleSet ] op (tr[_]:_=>_.) : AttrSet Term Term -> Rule {ctor} op (ctr[_]:_=>_if_.) : AttrSet Term Term Condition -> Rule {ctor} op none : -> RuleSet {ctor} op __ : RuleSet RuleSet -> RuleSet {ctor assoc comm id: none} eq R:Rule R:Rule = R:Rule . ** modules [ FModule Theory LModule < Module ] [ Qid < Header ] op _[_] : Qid ParameterDeclList -> Header {ctor} op module!_{_[_]____} : Header ImportList SortSet SubsortDeclSet OpDeclSet EquationSet RuleSet -> FModule {ctor} op module_{_[_]____} : Header ImportList SortSet SubsortDeclSet OpDeclSet EquationSet RuleSet -> LModule {ctor} op module*_{_[_]____} : Header ImportList SortSet SubsortDeclSet OpDeclSet EquationSet RuleSet -> Theory {ctor} ** op [_] : Qid -> Module . ** eq [Q:Qid] = (module* Q:Qid { including(Q:Qid) ** [ none ] none none none none none }) . ** projection functions var Q : Qid . var PDL : ParameterDeclList . var H : Header . var M : Module . var IL : ImportList . var SS : SortSet . var SSDS : SubsortDeclSet . var OPDS : OpDeclSet . var EQS : EquationSet . var RLS : RuleSet . } eof ** TODO op getName : Module -> Qid . eq getName(mod! Q {IL sorts SS . SSDS OPDS MAS EQS }) = Q . eq getName(mod! Q {IL sorts SS . SSDS OPDS MAS EQS RLS }) = Q . eq getName(fmod Q{PDL} is IL sorts SS . SSDS OPDS MAS EQS endfm) = Q . eq getName(mod Q{PDL} is IL sorts SS . SSDS OPDS MAS EQS RLS endm) = Q . eq getName(fth Q is IL sorts SS . SSDS OPDS MAS EQS endfth) = Q . eq getName(th Q is IL sorts SS . SSDS OPDS MAS EQS RLS endth) = Q . op getImports : Module -> ImportList . eq getImports(fmod H is IL sorts SS . SSDS OPDS MAS EQS endfm) = IL . eq getImports(mod H is IL sorts SS . SSDS OPDS MAS EQS RLS endm) = IL . eq getImports(fth Q is IL sorts SS . SSDS OPDS MAS EQS endfth) = IL . eq getImports(th Q is IL sorts SS . SSDS OPDS MAS EQS RLS endth) = IL . op getSorts : Module -> SortSet . eq getSorts(fmod H is IL sorts SS . SSDS OPDS MAS EQS endfm) = SS . eq getSorts(mod H is IL sorts SS . SSDS OPDS MAS EQS RLS endm) = SS . eq getSorts(fth Q is IL sorts SS . SSDS OPDS MAS EQS endfth) = SS . eq getSorts(th Q is IL sorts SS . SSDS OPDS MAS EQS RLS endth) = SS . op getSubsorts : Module -> SubsortDeclSet . eq getSubsorts(fmod H is IL sorts SS . SSDS OPDS MAS EQS endfm) = SSDS . eq getSubsorts(mod H is IL sorts SS . SSDS OPDS MAS EQS RLS endm) = SSDS . eq getSubsorts(fth Q is IL sorts SS . SSDS OPDS MAS EQS endfth) = SSDS . eq getSubsorts(th Q is IL sorts SS . SSDS OPDS MAS EQS RLS endth) = SSDS . op getOps : Module -> OpDeclSet . eq getOps(fmod H is IL sorts SS . SSDS OPDS MAS EQS endfm) = OPDS . eq getOps(mod H is IL sorts SS . SSDS OPDS MAS EQS RLS endm) = OPDS . eq getOps(fth Q is IL sorts SS . SSDS OPDS MAS EQS endfth) = OPDS . eq getOps(th Q is IL sorts SS . SSDS OPDS MAS EQS RLS endth) = OPDS . ;; op getMbs : Module -> MembAxSet . eq getMbs(fmod H is IL sorts SS . SSDS OPDS MAS EQS endfm) = MAS . eq getMbs(mod H is IL sorts SS . SSDS OPDS MAS EQS RLS endm) = MAS . eq getMbs(fth Q is IL sorts SS . SSDS OPDS MAS EQS endfth) = MAS . eq getMbs(th Q is IL sorts SS . SSDS OPDS MAS EQS RLS endth) = MAS . op getEqs : Module -> EquationSet . eq getEqs(fmod H is IL sorts SS . SSDS OPDS MAS EQS endfm) = EQS . eq getEqs(mod H is IL sorts SS . SSDS OPDS MAS EQS RLS endm) = EQS . eq getEqs(fth Q is IL sorts SS . SSDS OPDS MAS EQS endfth) = EQS . eq getEqs(th Q is IL sorts SS . SSDS OPDS MAS EQS RLS endth) = EQS . op getRls : Module -> RuleSet . eq getRls(fmod H is IL sorts SS . SSDS OPDS MAS EQS endfm) = none . eq getRls(mod H is IL sorts SS . SSDS OPDS MAS EQS RLS endm) = RLS . eq getRls(fth Q is IL sorts SS . SSDS OPDS MAS EQS endfth) = none . eq getRls(th Q is IL sorts SS . SSDS OPDS MAS EQS RLS endth) = RLS . } cafeobj-1.5.4/lib/lib/nat.cafe0000644000000000000000000000573012605345045014537 0ustar rootroot** ** Copyright (c) 2000-2015, Toshimi Sawada. All rights reserved. ** ** Redistribution and use in source and binary forms, with or without ** modification, are permitted provided that the following conditions ** are met: ** ** * Redistributions of source code must retain the above copyright ** notice, this list of conditions and the following disclaimer. ** ** * Redistributions in binary form must reproduce the above ** copyright notice, this list of conditions and the following ** disclaimer in the documentation and/or other materials ** provided with the distribution. ** ** THIS SOFTWARE IS PROVIDED BY THE AUTHOR 'AS IS' AND ANY EXPRESSED ** OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED ** WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ** ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY ** DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL ** DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE ** GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS ** INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, ** WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING ** NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS ** SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. ** sys:mod! NAT principal-sort Nat { imports { protecting (NZNAT) protecting (NAT-VALUE) } signature { op s _ : Nat -> NzNat { demod prec: 15 } pred _ >= _ : Nat Nat { demod prec: 51 } pred _ > _ : Nat Nat { demod prec: 51 } pred _ <= _ : Nat Nat { demod prec: 51 } pred _ < _ : Nat Nat { demod prec: 51 } op _ * _ : Nat Nat -> Nat { assoc comm idr: 1 demod prec: 31 } op _ + _ : Nat Nat -> Nat { assoc comm idr: 0 demod prec: 33 } op sd : Nat Nat -> Nat { comm demod prec: 0 } op _ quo _ : Nat NzNat -> Nat { demod prec: 31 } op _ rem _ : Nat NzNat -> Nat { demod prec: 31 l-assoc } pred _ divides _ : NzNat Nat { demod prec: 51 } op p _ : NzNat -> Nat { demod prec: 15 } } axioms { var M : Nat var N : Nat var NN : NzNat eq [:BDEMOD]: sd(M,N) = #! (abs (- m n)) . eq [:BDEMOD]: (M + N) = #! (+ m n) . eq [:BDEMOD]: (N * 0) = 0 . eq [:BDEMOD]: (M quo NN) = #! (truncate m nn) . eq [:BDEMOD]: (M rem NN) = #! (rem m nn) . eq [:BDEMOD]: (NN divides M) = #! (= 0 (rem m nn)) . eq [:BDEMOD]: (N < 0) = false . eq [:BDEMOD]: (0 < NN) = true . eq [:BDEMOD]: (NN <= 0) = false . eq [:BDEMOD]: (0 <= N) = true . eq [:BDEMOD]: (0 > N) = false . eq [:BDEMOD]: (NN > 0) = true . eq [:BDEMOD]: (0 >= NN) = false . eq [:BDEMOD]: (N >= 0) = true . eq [:BDEMOD]: (s 0) = 1 . eq [:BDEMOD]: (p NN) = #! (- nn 1) . } } lispq (defun chaos-nat-tram-interface () (setq *z-nat* (get-z-module-or-panic "NAT")) (push *z-nat* *tram-builtin-modules*)) lispq (eval-when (:execute :load-toplevel) (chaos-nat-tram-interface)) protect NAT provide nat -- eof cafeobj-1.5.4/lib/lib/ntruth.cafe0000644000000000000000000001123012605345045015271 0ustar rootroot** -*- Mode:Lisp -*- ** new truth module ** system: Chaos ** module: library ** file: ntruth.cafe ** ** Copyright (c) 2000-2015, Toshimi Sawada. All rights reserved. ** ** Redistribution and use in source and binary forms, with or without ** modification, are permitted provided that the following conditions ** are met: ** ** * Redistributions of source code must retain the above copyright ** notice, this list of conditions and the following disclaimer. ** ** * Redistributions in binary form must reproduce the above ** copyright notice, this list of conditions and the following ** disclaimer in the documentation and/or other materials ** provided with the distribution. ** ** THIS SOFTWARE IS PROVIDED BY THE AUTHOR 'AS IS' AND ANY EXPRESSED ** OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED ** WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ** ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY ** DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL ** DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE ** GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS ** INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, ** WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING ** NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS ** SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. ** ** ------------------------------------------------------------- -- -- NOTE: You may need to modify `setup-truth' if you change -- the definition of module TRUTH -- lispq (defun setup-truth () (setq *TRUTH-module* (eval-modexp "TRUTH")) (prepare-for-parsing *truth-module*) (with-in-module (*truth-module*) (let* ((sort-mem-op-info (find-operator '("_" ":is" "_") 2 *truth-module*)) (sort-mem-meth (lowest-method* (car (opinfo-methods sort-mem-op-info))))) (setq *sort-membership* sort-mem-meth)) (let* ((if-op-info (find-operator '("if" "_" "then" "_" "else" "_" "fi") 3 *truth-module*)) (if-meth (lowest-method* (car (opinfo-methods if-op-info))))) ;; if_theh_else_fi must be treated in special manner ;; we need to see it globaly in system (setq *BOOL-if* if-meth) ;; (let* ((equal-op-info (find-operator '("_" "==" "_") 2 *truth-module*)) (equal-meth (lowest-method* (car (opinfo-methods equal-op-info)))) (beq-op-info (find-operator '("_" "=*=" "_") 2 *truth-module*)) (beq-meth (lowest-method* (car (opinfo-methods beq-op-info)))) (n-equal-op-info (find-operator '("_" "=/=" "_") 2 *truth-module*)) (n-equal-meth (lowest-method* (car (opinfo-methods n-equal-op-info)))) (beh-eq-info (find-operator '("_" "=b=" "_") 2 *truth-module*)) (beh-eq-meth (lowest-method* (car (opinfo-methods beh-eq-info))))) ;; also these operators are needed to be accessed globaly ;; for TRAM(BRUTE) interface and PigNose (setq *bool-equal* equal-meth) (setq *beh-equal* beq-meth) (setq *bool-nonequal* n-equal-meth) (setq *beh-eq-pred* beh-eq-meth) )))) ** allow using universal sorts set sys universal-sort on ** we don't want to include BOOL of course lispq (progn (setq *include-bool-save* *include-bool*) (setq *include-bool* nil)) ** TRUTH sys:mod! TRUTH principal-sort Bool { -- TRUTH-VALUE is a hardwired builtin which declares sort Bool and -- two constants true and false. protecting (TRUTH-VALUE) signature { pred _:is_ : Cosmos SortId { prec: 125 } op if_then_else_fi : Bool *Cosmos* *Cosmos* -> *Cosmos* { strat: (1 0) prec: 0 } pred _==_ : *Cosmos* *Cosmos* { prec: 51 } pred _=*=_ : *HUniversal* *HUniversal* { prec: 51 } pred _=b=_ : *Cosmos* *Cosmos* { prec: 51 } pred _=/=_ : *Cosmos* *Cosmos* { prec: 51 } } axioms { var XU : *Universal* var YU : *Universal* var CXU : *Cosmos* var CYU : *Cosmos* eq CXU :is Id:SortId = #!! (coerce-to-bool (test-term-sort-membership cxu id)) . eq if true then CXU else CYU fi = CXU . eq if false then CXU else CYU fi = CYU . eq CXU == CYU = #!! (coerce-to-bool (term-equational-equal cxu cyu)) . eq CXU =b= CYU = #!! (coerce-to-bool (term-equational-equal cxu cyu)) . eq CXU =/= CYU = #!! (coerce-to-bool (not (term-equational-equal cxu cyu))) . } } ** setup truth module lispq (setup-truth) lispq (setup-tram-bool-modules) lispq (init-builtin-universal) ** set sys universal-sort off lispq (setq *include-bool* *include-bool-save*) ** provide truth provide TRUTH ** eof cafeobj-1.5.4/lib/lib/nznat.cafe0000644000000000000000000000532112605345045015103 0ustar rootroot** ** NZNAT ** ** ** Copyright (c) 2000-2015, Toshimi Sawada. All rights reserved. ** ** Redistribution and use in source and binary forms, with or without ** modification, are permitted provided that the following conditions ** are met: ** ** * Redistributions of source code must retain the above copyright ** notice, this list of conditions and the following disclaimer. ** ** * Redistributions in binary form must reproduce the above ** copyright notice, this list of conditions and the following ** disclaimer in the documentation and/or other materials ** provided with the distribution. ** ** THIS SOFTWARE IS PROVIDED BY THE AUTHOR 'AS IS' AND ANY EXPRESSED ** OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED ** WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ** ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY ** DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL ** DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE ** GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS ** INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, ** WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING ** NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS ** SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. ** sys:mod! NZNAT principal-sort NzNat { imports { protecting (NZNAT-VALUE) protecting (BOOL) } signature { op _ + _ : NzNat NzNat -> NzNat { assoc comm demod prec: 33 r-assoc } op d : NzNat NzNat -> NzNat { comm demod prec: 0 } op _ * _ : NzNat NzNat -> NzNat { assoc comm idr: 1 demod prec: 31 r-assoc } op _ quot _ : NzNat NzNat -> NzNat { demod prec: 31 l-assoc } pred _ < _ : NzNat NzNat { demod prec: 51 } pred _ <= _ : NzNat NzNat { demod prec: 51 } pred _ > _ : NzNat NzNat { demod prec: 51 } pred _ >= _ : NzNat NzNat { demod prec: 51 } op s _ : NzNat -> NzNat { demod prec: 15 } } axioms { var NN : NzNat var NM : NzNat eq [:BDEMOD]: (NN + NM) = #! (+ nn nm) . eq [:BDEMOD]: d(NN,NM) = #! (if (= nn nm) 1 (abs (- nn nm))) . eq [:BDEMOD]: (NN * NM) = #! (* nn nm) . eq [:BDEMOD]: (NN quot NM) = #! (if (> nn nm) (truncate nn nm) 1) . eq [:BDEMOD]: (NN < NM) = #! (< nn nm) . eq [:BDEMOD]: (NN <= NM) = #! (<= nn nm) . eq [:BDEMOD]: (NN > NM) = #! (> nn nm) . eq [:BDEMOD]: (NN >= NM) = #! (>= nn nm) . eq [:BDEMOD]: (s NN) = #! (1+ nn) . } } lispq (defun chaos-nznat-tram-interface () (setq *z-nznat* (get-z-module-or-panic "NZNAT")) (pushnew *z-nznat* *tram-builtin-modules*)) lispq (eval-when (:execute :load-toplevel) (chaos-nznat-tram-interface)) protect NZNAT provide nznat -- eof cafeobj-1.5.4/lib/lib/qid.cafe0000644000000000000000000000314312605345045014526 0ustar rootroot** ** Copyright (c) 2000-2015, Toshimi Sawada. All rights reserved. ** ** Redistribution and use in source and binary forms, with or without ** modification, are permitted provided that the following conditions ** are met: ** ** * Redistributions of source code must retain the above copyright ** notice, this list of conditions and the following disclaimer. ** ** * Redistributions in binary form must reproduce the above ** copyright notice, this list of conditions and the following ** disclaimer in the documentation and/or other materials ** provided with the distribution. ** ** THIS SOFTWARE IS PROVIDED BY THE AUTHOR 'AS IS' AND ANY EXPRESSED ** OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED ** WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ** ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY ** DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL ** DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE ** GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS ** INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, ** WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING ** NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS ** SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. ** sys:mod! QID principal-sort Qid { protecting (STRING) bsort Qid (is-qid-token create-qid print-qid is-qid nil) op string : Qid -> String op qid : String -> Qid eq string(Q:Qid) = #! (qid->string Q) . eq qid(S:String) = #! (string->qid S) . } protect QID provide qid ** EOF cafeobj-1.5.4/lib/lib/rat.cafe0000644000000000000000000000543312605345045014543 0ustar rootroot** ** Copyright (c) 2000-2015, Toshimi Sawada. All rights reserved. ** ** Redistribution and use in source and binary forms, with or without ** modification, are permitted provided that the following conditions ** are met: ** ** * Redistributions of source code must retain the above copyright ** notice, this list of conditions and the following disclaimer. ** ** * Redistributions in binary form must reproduce the above ** copyright notice, this list of conditions and the following ** disclaimer in the documentation and/or other materials ** provided with the distribution. ** ** THIS SOFTWARE IS PROVIDED BY THE AUTHOR 'AS IS' AND ANY EXPRESSED ** OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED ** WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ** ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY ** DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL ** DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE ** GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS ** INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, ** WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING ** NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS ** SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. ** sys:mod! RAT principal-sort Rat { imports { protecting (INT) protecting (RAT-VALUE) } signature { op - _ : Rat -> Rat { demod prec: 15 } op - _ : NzRat -> NzRat { demod prec: 15 } op _ - _ : Rat Rat -> Rat { strat: (0 1 2) demod prec: 33 r-assoc } pred _ >= _ : Rat Rat { demod prec: 41 } pred _ > _ : Rat Rat { demod prec: 41 } pred _ <= _ : Rat Rat { demod prec: 41 } pred _ < _ : Rat Rat { demod prec: 41 } op _ * _ : Rat Rat -> Rat { assoc comm idr: 1 demod prec: 41 } op _ + _ : Rat Rat -> Rat { assoc comm idr: 0 demod prec: 41 } op _ rem _ : Rat NzRat -> Rat { demod prec: 41 } op _ / _ : Rat NzRat -> Rat { demod prec: 31 l-assoc } op _ / _ : NzRat NzRat -> NzRat { demod prec: 31 l-assoc } } axioms { var R : Rat var S : Rat var NS : NzRat eq [:BDEMOD]: (R + S) = #! (+ r s) . eq [:BDEMOD]: (- R) = #! (- r) . eq [:BDEMOD]: (R - S) = (R + (- S)) . eq [:BDEMOD]: (R * S) = #! (* r s) . eq [:BDEMOD]: (R / NS) = #! (/ r ns) . eq [:BDEMOD]: (R rem NS) = #! (rem r ns) . eq [:BDEMOD]: (R < S) = #! (< r s) . eq [:BDEMOD]: (R <= S) = #! (<= r s) . eq [:BDEMOD]: (R > S) = #! (> r s) . eq [:BDEMOD]: (R >= S) = #! (>= r s) . } } lispq (defun chaos-rat-tram-interface () (setq *z-rat* (get-z-module-or-panic "RAT")) (push *z-rat* *tram-builtin-modules*)) lispq (eval-when (:execute :load-toplevel) (chaos-rat-tram-interface)) protect RAT provide rat -- eof cafeobj-1.5.4/lib/lib/rwl.cafe0000644000000000000000000003576512605345045014574 0ustar rootroot** -*- Mode:CafeOBJ -*- ** system: Chaos ** module: library ** file: rwl.mod ** ** Copyright (c) 2000-2015, Toshimi Sawada. All rights reserved. ** ** Redistribution and use in source and binary forms, with or without ** modification, are permitted provided that the following conditions ** are met: ** ** * Redistributions of source code must retain the above copyright ** notice, this list of conditions and the following disclaimer. ** ** * Redistributions in binary form must reproduce the above ** copyright notice, this list of conditions and the following ** disclaimer in the documentation and/or other materials ** provided with the distribution. ** ** THIS SOFTWARE IS PROVIDED BY THE AUTHOR 'AS IS' AND ANY EXPRESSED ** OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED ** WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ** ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY ** DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL ** DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE ** GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS ** INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, ** WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING ** NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS ** SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. ** ** ------------------------------------------------------------- ** ** RWL ** ** allow using universal sorts set sys universal-sort on ** we want to be very explicit here set include BOOL off sys:mod! RWL principal-sort Bool { imports { protecting (BOOL) protecting (NAT-VALUE) } signature { -- [ Nat*, Nat < Nat* ] [ NzNat*, NzNat < NzNat* ] op * : -> NzNat* { constr } -- op + : -> Nat* { constr } -- op ! : -> Nat* { constr } pred _==>_ : *Cosmos* *Cosmos* { strat: (0) prec: 51 } ** NOTE: these two predicates are obsolate. -- _=(N:NzNat*)=>_ is equivalent to _=(1,N)=>*_ -- pred _=(_)=>_ : *Cosmos* NzNat* *Cosmos* { strat: (0) prec: 51 } -- pred _=(_)=>_ suchThat _ : *Cosmos* NzNat* *Cosmos* Bool { strat: (0) prec: 51 } ** new search operators pred _=(_,_)=>*_ : *Cosmos* NzNat* NzNat* *Cosmos* { strat: (0) prec: 51 } pred _=(_,_)=>+_ : *Cosmos* NzNat* NzNat* *Cosmos* { strat: (0) prec: 51 } pred _=(_,_)=>!_ : *Cosmos* NzNat* NzNat* *Cosmos* { strat: (0) prec: 51 } pred _=(_,_)=>*_ suchThat _: *Cosmos* NzNat* NzNat* *Cosmos* Bool { strat: (0) prec: 51 } pred _=(_,_)=>+_suchThat_: *Cosmos* NzNat* NzNat* *Cosmos* Bool { strat: (0) prec: 51 } pred _=(_,_)=>!_suchThat_: *Cosmos* NzNat* NzNat* *Cosmos* Bool { strat: (0) prec: 51 } ** experimental ------------- pred _=(_,_)=>*_suchThat_{_} : *Cosmos* NzNat* NzNat* *Cosmos* Bool *Cosmos* { strat: (0) prec: 51 } pred _=(_,_)=>+_suchThat_{_} : *Cosmos* NzNat* NzNat* *Cosmos* Bool *Cosmos* { strat: (0) prec: 51 } pred _=(_,_)=>!_suchThat_{_} : *Cosmos* NzNat* NzNat* *Cosmos* Bool *Cosmos* ** ------------------------- -- suchThat 'state equality predicate' pred _=(_,_)=>*_withStateEq_ : *Cosmos* NzNat* NzNat* *Cosmos* *Cosmos* { strat: (0) prec: 51 } pred _=(_,_)=>+_withStateEq_ : *Cosmos* NzNat* NzNat* *Cosmos* *Cosmos* { strat: (0) prec: 51 } pred _=(_,_)=>!_withStateEq_ : *Cosmos* NzNat* NzNat* *Cosmos* *Cosmos* { strat: (0) prec: 51 } pred _=(_,_)=>*_suchThat_withStateEq_ : *Cosmos* NzNat* NzNat* *Cosmos* Bool *Cosmos* { strat: (0) prec: 51 } pred _=(_,_)=>+_suchThat_withStateEq_ : *Cosmos* NzNat* NzNat* *Cosmos* Bool *Cosmos* { strat: (0) prec: 51 } pred _=(_,_)=>!_suchThat_withStateEq_ : *Cosmos* NzNat* NzNat* *Cosmos* Bool *Cosmos* { strat: (0) prec: 51 } ** the followings are handy version of =(,)=>* etc. -- pred _==>*_ : *Cosmos* *Cosmos* { strat: (0) prec: 51 } pred _==>+_ : *Cosmos* *Cosmos* { strat: (0) prec: 51 } pred _==>!_ : *Cosmos* *Cosmos* { strat: (0) prec: 51 } pred _==>1_ : *Cosmos* *Cosmos* { strat: (0) prec: 51 } pred _==>*_withStateEq_ : *Cosmos* *Cosmos* *Cosmos* { strat: (0) prec: 51 } pred _==>+_withStateEq_ : *Cosmos* *Cosmos* *Cosmos* { strat: (0) prec: 51 } pred _==>!_withStateEq_ : *Cosmos* *Cosmos* *Cosmos* { strat: (0) prec: 51 } pred _==>1_withStateEq_ : *Cosmos* *Cosmos* *Cosmos* { strat: (0) prec: 51 } pred _==>1_suchThat_ : *Cosmos* *Cosmos* Bool { strat: (0) prec: 51 } pred _==>*_suchThat_ : *Cosmos* *Cosmos* Bool { strat: (0) prec: 51 } pred _==>+_suchThat_ : *Cosmos* *Cosmos* Bool { strat: (0) prec: 51 } pred _==>!_suchThat_ : *Cosmos* *Cosmos* Bool { strat: (0) prec: 51 } pred _==>1_suchThat_ withStateEq_ : *Cosmos* *Cosmos* Bool *Cosmos* { strat: (0) prec: 51 } pred _==>*_suchThat_withStateEq_ : *Cosmos* *Cosmos* Bool *Cosmos* { strat: (0) prec: 51 } pred _==>+_suchThat_withStateEq_ : *Cosmos* *Cosmos* Bool *Cosmos* { strat: (0) prec: 51 } pred _==>!_suchThat_withStateEq_ : *Cosmos* *Cosmos* Bool *Cosmos* { strat: (0) prec: 51 } pred _=(_)=>*_ : *Cosmos* NzNat* *Cosmos* { strat: (0) prec: 51 } pred _=(_)=>+_ : *Cosmos* NzNat* *Cosmos* { strat: (0) prec: 51 } pred _=(_)=>!_ : *Cosmos* NzNat* *Cosmos* { strat: (0) prec: 51 } pred _=(_)=>*_ withStateEq(_) : *Cosmos* NzNat* *Cosmos* *Cosmos* { strat: (0) prec: 51 } pred _=(_)=>+_withStateEq(_) : *Cosmos* NzNat* *Cosmos* *Cosmos* { strat: (0) prec: 51 } pred _=(_)=>!_withStateEq(_) : *Cosmos* NzNat* *Cosmos* *Cosmos* { strat: (0) prec: 51 } pred _=(_)=>*_suchThat_ : *Cosmos* NzNat* *Cosmos* Bool { strat: (0) prec: 51 } pred _=(_)=>+_suchThat_ : *Cosmos* NzNat* *Cosmos* Bool { strat: (0) prec: 51 } pred _=(_)=>!_suchThat_ : *Cosmos* NzNat* *Cosmos* Bool { strat: (0) prec: 51 } pred _=(_)=>*_suchThat_withStateEq_ : *Cosmos* NzNat* *Cosmos* Bool *Cosmos* { strat: (0) prec: 51 } pred _=(_)=>+_suchThat_withStateEq_ : *Cosmos* NzNat* *Cosmos* Bool *Cosmos* { strat: (0) prec: 51 } pred _=(_)=>!_suchThat_withStateEq_ : *Cosmos* NzNat* *Cosmos* Bool *Cosmos* { strat: (0) prec: 51 } pred _=(,_)=>*_ : *Cosmos* NzNat* *Cosmos* { strat: (0) prec: 51 } pred _=(,_)=>+_ : *Cosmos* NzNat* *Cosmos* { strat: (0) prec: 51 } pred _=(,_)=>!_ : *Cosmos* NzNat* *Cosmos* { strat: (0) prec: 51 } pred _=(,_)=>*_withStateEq_ : *Cosmos* NzNat* *Cosmos* *Cosmos* { strat: (0) prec: 51 } pred _=(,_)=>+_withStateEq_ : *Cosmos* NzNat* *Cosmos* *Cosmos* { strat: (0) prec: 51 } pred _=(,_)=>!_withStateEq_ : *Cosmos* NzNat* *Cosmos* *Cosmos* { strat: (0) prec: 51 } pred _=(,_)=>*_suchThat_ : *Cosmos* NzNat* *Cosmos* Bool { strat: (0) prec: 51 } pred _=(,_)=>+_suchThat_: *Cosmos* NzNat* *Cosmos* Bool { strat: (0) prec: 51 } pred _=(,_)=>!_suchThat_: *Cosmos* NzNat* *Cosmos* Bool { strat: (0) prec: 51 } pred _=(,_)=>*_suchThat_withStateEq_ : *Cosmos* NzNat* *Cosmos* Bool *Cosmos* { strat: (0) prec: 51 } pred _=(,_)=>+_suchThat_withStateEq_ : *Cosmos* NzNat* *Cosmos* Bool *Cosmos* { strat: (0) prec: 51 } pred _=(,_)=>!_suchThat_withStateEq_ : *Cosmos* NzNat* *Cosmos* Bool *Cosmos* { strat: (0) prec: 51 } ** new experimental search predicate pred _=(_,_)=>+_if_suchThat_{_} : *Cosmos* NzNat* NzNat* *Cosmos* Bool Bool *Cosmos* { strat: (0) prec: 51 } ** _=>_ : pred _=>_ : *Cosmos* *Cosmos* { strat: (0) prec: 51 } } axioms { var CXU : *Cosmos* var CYU : *Cosmos* var COND : Bool var MAX-R : NzNat* var MAX-D : NzNat* var PRED : *Cosmos* var BIND : *Cosmos* ** histrical builtin ==> is equivalent with =(1,*)=>* eq (CXU ==> CYU) = CXU =(1,*)=>* CYU . -- ==> eq (CXU ==>1 CYU) = (CXU =(1,*)=>+ CYU) . eq (CXU ==>* CYU) = (CXU =(*,*)=>* CYU) . eq (CXU ==>! CYU) = (CXU =(*,*)=>! CYU) . eq (CXU ==>+ CYU) = (CXU =(*,*)=>+ CYU) . eq (CXU ==>1 CYU suchThat COND) = (CXU =(1,*)=>+ CYU suchThat COND) . eq (CXU ==>* CYU suchThat COND) = (CXU =(*,*)=>* CYU suchThat COND) . eq (CXU ==>! CYU suchThat COND) = (CXU =(*,*)=>! CYU suchThat COND) . eq (CXU ==>+ CYU suchThat COND) = (CXU =(*,*)=>+ CYU suchThat COND) . eq (CXU ==>1 CYU withStateEq(PRED)) = (CXU =(1,*)=>+ CYU withStateEq(PRED)) . eq (CXU ==>* CYU withStateEq(PRED)) = (CXU =(*,*)=>* CYU withStateEq(PRED)) . eq (CXU ==>! CYU withStateEq(PRED)) = (CXU =(*,*)=>! CYU withStateEq(PRED)) . eq (CXU ==>+ CYU withStateEq(PRED)) = (CXU =(*,*)=>+ CYU withStateEq(PRED)) . eq (CXU ==>1 CYU suchThat COND withStateEq(PRED)) = (CXU =(1,*)=>+ CYU suchThat COND withStateEq(PRED)) . eq (CXU ==>* CYU suchThat COND withStateEq(PRED)) = (CXU =(*,*)=>* CYU suchThat COND withStateEq(PRED)) . eq (CXU ==>! CYU suchThat COND withStateEq(PRED)) = (CXU =(*,*)=>! CYU suchThat COND withStateEq(PRED)) . eq (CXU ==>+ CYU suchThat COND withStateEq(PRED)) = (CXU =(*,*)=>+ CYU suchThat COND withStateEq(PRED)) . -- =(NzNat*)=> eq (CXU =(MAX-R)=>* CYU) = (CXU =(MAX-R,*)=>* CYU) . eq (CXU =(MAX-R)=>! CYU) = (CXU =(MAX-R,*)=>! CYU) . eq (CXU =(MAX-R)=>+ CYU) = (CXU =(MAX-R,*)=>+ CYU) . eq (CXU =(MAX-R)=>* CYU suchThat COND) = (CXU =(MAX-R,*)=>* CYU suchThat COND) . eq (CXU =(MAX-R)=>! CYU suchThat COND) = (CXU =(MAX-R,*)=>! CYU suchThat COND) . eq (CXU =(MAX-R)=>+ CYU suchThat COND) = (CXU =(MAX-R,*)=>+ CYU suchThat COND) . eq (CXU =(MAX-R)=>* CYU withStateEq(PRED)) = (CXU =(MAX-R,*)=>* CYU withStateEq(PRED)) . eq (CXU =(MAX-R)=>! CYU withStateEq(PRED)) = (CXU =(MAX-R,*)=>! CYU withStateEq(PRED)) . eq (CXU =(MAX-R)=>+ CYU withStateEq(PRED)) = (CXU =(MAX-R,*)=>+ CYU withStateEq(PRED)) . eq (CXU =(MAX-R)=>* CYU suchThat COND withStateEq(PRED)) = (CXU =(MAX-R,*)=>* CYU suchThat COND withStateEq(PRED)) . eq (CXU =(MAX-R)=>! CYU suchThat COND withStateEq(PRED)) = (CXU =(MAX-R,*)=>! CYU suchThat COND withStateEq(PRED)) . eq (CXU =(MAX-R)=>+ CYU suchThat COND withStateEq(PRED)) = (CXU =(MAX-R,*)=>+ CYU suchThat COND withStateEq(PRED)) . -- =(,NzNat*)=> eq (CXU =(,MAX-D)=>* CYU) = (CXU =(*,MAX-D)=>* CYU) . eq (CXU =(,MAX-D)=>! CYU) = (CXU =(*,MAX-D)=>! CYU) . eq (CXU =(,MAX-D)=>+ CYU) = (CXU =(*,MAX-D)=>+ CYU) . eq (CXU =(,MAX-D)=>* CYU suchThat COND) = (CXU =(*,MAX-D)=>* CYU suchThat COND) . eq (CXU =(,MAX-D)=>! CYU suchThat COND) = (CXU =(*,MAX-D)=>! CYU suchThat COND) . eq (CXU =(,MAX-D)=>+ CYU suchThat COND) = (CXU =(*,MAX-D)=>+ CYU suchThat COND) . eq (CXU =(,MAX-D)=>* CYU withStateEq(PRED)) = (CXU =(*,MAX-D)=>* CYU withStateEq(PRED)) . eq (CXU =(,MAX-D)=>! CYU withStateEq(PRED)) = (CXU =(*,MAX-D)=>! CYU withStateEq(PRED)) . eq (CXU =(,MAX-D)=>+ CYU withStateEq(PRED)) = (CXU =(*,MAX-D)=>+ CYU withStateEq(PRED)) . eq (CXU =(,MAX-D)=>* CYU suchThat COND withStateEq(PRED)) = (CXU =(*,MAX-D)=>* CYU suchThat COND withStateEq(PRED)) . eq (CXU =(,MAX-D)=>! CYU suchThat COND withStateEq(PRED)) = (CXU =(*,MAX-D)=>! CYU suchThat COND withStateEq(PRED)) . eq (CXU =(,MAX-D)=>+ CYU suchThat COND withStateEq(PRED)) = (CXU =(*,MAX-D)=>+ CYU suchThat COND withStateEq(PRED)) . -- =(NzNat*, NzNat*)=> eq (CXU =(MAX-R, MAX-D)=>* CYU) = #!! (rwl-sch-set-result (rwl-search :term cxu :pattern cyu :max-result MAX-R :max-depth MAX-D :zero? t)) . eq (CXU =(MAX-R, MAX-D)=>! CYU) = #!! (rwl-sch-set-result (rwl-search :term cxu :pattern cyu :max-result MAX-R :max-depth MAX-D :final? t)) . eq (CXU =(MAX-R, MAX-D)=>+ CYU) = #!! (rwl-sch-set-result (rwl-search :term cxu :pattern cyu :max-result MAX-R :max-depth MAX-D)) . eq (CXU =(MAX-R, MAX-D)=>* CYU suchThat COND) = #!! (rwl-sch-set-result (rwl-search :term cxu :pattern cyu :max-result MAX-R :max-depth MAX-D :zero? t :cond cond)) . eq (CXU =(MAX-R, MAX-D)=>* CYU suchThat COND {BIND}) = #!! (rwl-sch-set-result (rwl-search :term cxu :pattern cyu :max-result MAX-R :max-depth MAX-D :zero? t :cond cond :bind bind)) . eq (CXU =(MAX-R, MAX-D)=>! CYU suchThat COND) = #!! (rwl-sch-set-result (rwl-search :term cxu :pattern cyu :max-result MAX-R :max-depth MAX-D :final? t :cond cond)) . eq (CXU =(MAX-R, MAX-D)=>! CYU suchThat COND {BIND}) = #!! (rwl-sch-set-result (rwl-search :term cxu :pattern cyu :max-result MAX-R :max-depth MAX-D :final? t :cond cond :bind bind)) . eq (CXU =(MAX-R, MAX-D)=>+ CYU suchThat COND) = #!! (rwl-sch-set-result (rwl-search :term cxu :pattern cyu :max-result MAX-R :max-depth MAX-D :cond cond)) . eq (CXU =(MAX-R, MAX-D)=>+ CYU suchThat COND {BIND}) = #!! (rwl-sch-set-result (rwl-search :term cxu :pattern cyu :max-result MAX-R :max-depth MAX-D :cond cond :bind bind)) . -- =(NzNat*, NzNat*)=> withStateEq(BoolTerm/2) eq (CXU =(MAX-R, MAX-D)=>* CYU withStateEq(PRED)) = #!! (rwl-sch-set-result (rwl-search :term cxu :pattern cyu :max-result MAX-R :max-depth MAX-D :zero? t :pred PRED)) . eq (CXU =(MAX-R, MAX-D)=>! CYU withStateEq(PRED)) = #!! (rwl-sch-set-result (rwl-search :term cxu :pattern cyu :max-result MAX-R :max-depth MAX-D :final? t :pred PRED)) . eq (CXU =(MAX-R, MAX-D)=>+ CYU withStateEq(PRED)) = #!! (rwl-sch-set-result (rwl-search :term cxu :pattern cyu :max-result MAX-R :max-depth MAX-D :pred PRED)) . eq (CXU =(MAX-R, MAX-D)=>* CYU suchThat COND withStateEq(PRED)) = #!! (rwl-sch-set-result (rwl-search :term cxu :pattern cyu :max-result MAX-R :max-depth MAX-D :zero? t :cond cond :pred PRED)) . eq (CXU =(MAX-R, MAX-D)=>! CYU suchThat COND withStateEq(PRED)) = #!! (rwl-sch-set-result (rwl-search :term cxu :pattern cyu :max-result MAX-R :max-depth MAX-D :final? t :cond cond :pred PRED)) . eq (CXU =(MAX-R, MAX-D)=>+ CYU suchThat COND withStateEq(PRED)) = #!! (rwl-sch-set-result (rwl-search :term cxu :pattern cyu :max-result MAX-R :max-depth MAX-D :cond cond :pred PRED)) . ** if eq (S:*Cosmos* =(MR:NzNat* ,MD:NzNat)=>+ SS:*Cosmos* if CC:Bool suchThat P:Bool { B:*Cosmos* }) = #!! (rwl-sch-set-result (rwl-search :term S :pattern SS :max-result MR :max-depth MD :zero? nil :final? nil :cond P :if CC :bind B)) . ** => -- eq (CXU => CYU) = #!! (rwl-sch-set-result (rwl-check-one-step-reachability CXU CYU)) . eq (CXU => CYU) = CXU =(1,*)=>* CYU . } } ** setup lispq (defun setup-rwl () (setq *rwl-module* (eval-modexp "RWL")) (final-setup *rwl-module*) (with-in-module (*rwl-module*) (let* ((rwl-op-info (find-operator '("_" "=>" "_") 2 *rwl-module*)) (rwl-pred (and rwl-op-info (lowest-method* (car (opinfo-methods rwl-op-info)))))) (unless rwl-pred (with-output-panic-message () (print "could not find _=>_") (break))) (setq *rwl-predicate* rwl-pred)))) lispq (setup-rwl) -- lispq -- (setup-tram-bool-modules) lispq (init-builtin-universal) ** set sys universal-sort off set include BOOL on ** protect RWL provide rwl ** eof cafeobj-1.5.4/lib/lib/string.cafe0000644000000000000000000000665112605345045015266 0ustar rootroot** ** Copyright (c) 2000-2015, Toshimi Sawada. All rights reserved. ** ** Redistribution and use in source and binary forms, with or without ** modification, are permitted provided that the following conditions ** are met: ** ** * Redistributions of source code must retain the above copyright ** notice, this list of conditions and the following disclaimer. ** ** * Redistributions in binary form must reproduce the above ** copyright notice, this list of conditions and the following ** disclaimer in the documentation and/or other materials ** provided with the distribution. ** ** THIS SOFTWARE IS PROVIDED BY THE AUTHOR 'AS IS' AND ANY EXPRESSED ** OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED ** WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ** ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY ** DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL ** DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE ** GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS ** INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, ** WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING ** NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS ** SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. ** sys:mod! STRING principal-sort String { protecting (NAT) protecting (CHARACTER) protecting (STRING-VALUE) [ Nat < FindResult ] op notFound : -> FindResult {ctor} op _++_ : String String -> String op length : String -> Nat op substr : String Nat Nat -> String op find : Character String Nat -> FindResult op rfind : Character String Nat -> FindResult op string= : String String -> Bool op string< : String String -> Bool op string<= : String String -> Bool op string> : String String -> Bool op string>= : String String -> Bool op schar : String Nat -> Character op string : Character -> String op upcase : String -> String op downcase : String -> String op capitalize : String -> String op substring : String Nat Nat -> String op substring : String Nat -> String op rsubstring : String Nat -> String ** var S : String var S1 : String var S2 : String var C : Character var N : Nat var FROM : Nat var TO : Nat eq [:BDEMOD]: (S ++ S2) = #! (concatenate (quote string) s s2) . eq [:BDEMOD]: string(C) = #! (string c) . eq [:BDEMOD]: schar(S,N) = #! (schar s n) . eq [:BDEMOD]: upcase(S) = #! (string-upcase s) . eq [:BDEMOD]: downcase(S) = #! (string-downcase s) . eq [:BDEMOD]: capitalize(S) = #! (string-capitalize s) . eq [:BDEMOD]: substring(S,FROM,TO) = #! (subseq s from to) . eq [:BDEMOD]: substring(S,N) = #! (subseq s n) . eq [:BDEMOD]: rsubstring(S,N) = #! (subseq s 0 n) . eq [:BDEMOD]: length(S) = #! (length s) . eq [:BDEMOD]: string=(S1,S2) = #! (string= s1 s2) . eq [:BDEMOD]: string<(S1,S2) = #! (string< s1 s2) . eq [:BDEMOD]: string>(S1,S2) = #! (string> s1 s2) . eq [:BDEMOD]: string<=(S1,S2) = #! (string<= s1 s2) . eq [:BDEMOD]: string>=(S1,S2) = #! (string>= s1 s2) . eq find(C, S, N) = #!! (s-find C S N) . eq rfind(C, S, N) = #!! (s-rfind C S N) . } lispq (defun chaos-string-tram-interface () (setq *z-string* (get-z-module-or-panic "STRING")) (push *z-string* *tram-builtin-modules*) ) lispq (eval-when (:execute :load-toplevel) (chaos-string-tram-interface)) protect STRING provide string ** EOF cafeobj-1.5.4/lib/lib/sys_bool.cafe0000644000000000000000000000454712605345045015613 0ustar rootroot** ** MODULE BOOL ** ** Copyright (c) 2000-2015, Toshimi Sawada. All rights reserved. ** ** Redistribution and use in source and binary forms, with or without ** modification, are permitted provided that the following conditions ** are met: ** ** * Redistributions of source code must retain the above copyright ** notice, this list of conditions and the following disclaimer. ** ** * Redistributions in binary form must reproduce the above ** copyright notice, this list of conditions and the following ** disclaimer in the documentation and/or other materials ** provided with the distribution. ** ** THIS SOFTWARE IS PROVIDED BY THE AUTHOR 'AS IS' AND ANY EXPRESSED ** OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED ** WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ** ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY ** DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL ** DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE ** GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS ** INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, ** WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING ** NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS ** SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. ** ** ** we don't want to include BOOL of course evq (setq *include-bool-save* *include-bool*) evq (setq *include-bool* nil) -- set include BOOL off sys:mod! BOOL principal-sort Bool { imports { protecting (BASE-BOOL) } axioms { var A : Bool var B : Bool var C : Bool eq false and A = false . eq true and A = A . eq A and A = A . eq A xor A = false . eq false xor A = A . eq A and (B xor C) = A and B xor A and C . eq A or A = A . eq false or A = A . eq true or A = true . eq A or B = A and B xor A xor B . eq not A = A xor true . eq A implies B = A and B xor A xor true . eq A iff B = A xor B xor true . eq A and-also false = false . eq false and-also A = false . eq A and-also true = A . eq true and-also A = A . eq A and-also A = A . eq false or-else A = A . eq A or-else false = A . eq true or-else A = true . eq A or-else true = true . } } evq (setq *include-bool* *include-bool-save*) protect BOOL provide sys_bool -- eof cafeobj-1.5.4/lib/lib/truth.cafe0000644000000000000000000001224712605345045015124 0ustar rootroot** -*- Mode:CafeOBJ -*- ** system: Chaos ** module: library ** file: truth.mod ** ** Copyright (c) 2000-2015, Toshimi Sawada. All rights reserved. ** ** Redistribution and use in source and binary forms, with or without ** modification, are permitted provided that the following conditions ** are met: ** ** * Redistributions of source code must retain the above copyright ** notice, this list of conditions and the following disclaimer. ** ** * Redistributions in binary form must reproduce the above ** copyright notice, this list of conditions and the following ** disclaimer in the documentation and/or other materials ** provided with the distribution. ** ** THIS SOFTWARE IS PROVIDED BY THE AUTHOR 'AS IS' AND ANY EXPRESSED ** OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED ** WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ** ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY ** DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL ** DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE ** GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS ** INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, ** WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING ** NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS ** SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. ** ** ------------------------------------------------------------- -- -- NOTE: You may need to modify `setup-truth' if you change -- the definition of module TRUTH -- lispq (defun setup-truth () (setq *TRUTH-module* (eval-modexp "TRUTH")) (prepare-for-parsing *truth-module*) (with-in-module (*truth-module*) (let* ((sort-mem-op-info (find-operator '("_" ":is" "_") 2 *truth-module*)) (sort-mem-meth (lowest-method* (car (opinfo-methods sort-mem-op-info))))) (setq *sort-membership* sort-mem-meth)) (let* ((if-op-info (find-operator '("if" "_" "then" "_" "else" "_" "fi") 3 *truth-module*)) (if-meth (lowest-method* (car (opinfo-methods if-op-info))))) ;; if_theh_else_fi must be treated in special manner ;; we need to see it globaly in system (setq *BOOL-if* if-meth) ;; (let* ((equal-op-info (find-operator '("_" "==" "_") 2 *truth-module*)) (equal-meth (lowest-method* (car (opinfo-methods equal-op-info)))) (match-op-info (find-operator '("_" ":=" "_") 2 *truth-module*)) (match-meth (lowest-method* (car (opinfo-methods match-op-info)))) (beq-op-info (find-operator '("_" "=*=" "_") 2 *truth-module*)) (beq-meth (lowest-method* (car (opinfo-methods beq-op-info)))) (n-equal-op-info (find-operator '("_" "=/=" "_") 2 *truth-module*)) (n-equal-meth (lowest-method* (car (opinfo-methods n-equal-op-info)))) (beh-eq-info (find-operator '("_" "=b=" "_") 2 *truth-module*)) (beh-eq-meth (lowest-method* (car (opinfo-methods beh-eq-info)))) (cond-op (find-operator '("_" "/\\" "_") 2 *truth-module*)) (cond-meth (lowest-method* (car (opinfo-methods cond-op))))) ;; also these operators are needed to be accessed globaly ;; for TRAM(BRUTE) interface and PigNose (setq *bool-equal* equal-meth) (setq *bool-match* match-meth) (setq *beh-equal* beq-meth) (setq *bool-nonequal* n-equal-meth) (setq *beh-eq-pred* beh-eq-meth) (setq *bool-cond-op* cond-meth))))) ** allow using universal sorts set sys universal-sort on ** we don't want to include BOOL of course lispq (progn (setq *include-bool-save* *include-bool*) (setq *include-bool* nil)) ** TRUTH sys:mod! TRUTH principal-sort Bool { -- TRUTH-VALUE is a hardwired builtin which declares sort Bool and -- two constants true and false. protecting (TRUTH-VALUE) signature { pred _:is_ : *Cosmos* SortId { prec: 125 } op if_then_else_fi : Bool *Cosmos* *Cosmos* -> *Cosmos* { strat: (1 0) prec: 0 } pred _==_ : *Cosmos* *Cosmos* { prec: 51 } pred _=*=_ : *HUniversal* *HUniversal* { prec: 51 } pred _=b=_ : *Cosmos* *Cosmos* { prec: 51 } pred _=/=_ : *Cosmos* *Cosmos* { prec: 51 } pred _:=_ : *Cosmos* *Cosmos* { prec: 51 } op _/\_ : *Condition* *Condition* -> *Condition* { strat: (1 0 2 0) prec: 67 r-assoc } } axioms { var XU : *Universal* var YU : *Universal* var CXU : *Cosmos* var CYU : *Cosmos* eq CXU :is Id:SortId = #!! (coerce-to-bool (test-term-sort-membership cxu id)) . eq if true then CXU else CYU fi = CXU . eq if false then CXU else CYU fi = CYU . eq CXU == CYU = #!! (coerce-to-bool (term-equational-equal cxu cyu)) . eq CXU =b= CYU = #!! (coerce-to-bool (term-equational-equal cxu cyu)) . eq CXU =/= CYU = #!! (coerce-to-bool (not (term-equational-equal cxu cyu))) . eq CXU := CYU = #!! (coerce-to-bool (match-m-pattern CXU CYU)) . eq X:Bool /\ true = X . eq true /\ X:Bool = X . eq X:Bool /\ false = false . eq false /\ X:Bool = false . } } ** setup truth module lispq (setup-truth) lispq (setup-tram-bool-modules) lispq (init-builtin-universal) ** set sys universal-sort off lispq (setq *include-bool* *include-bool-save*) ** protect TRUTH provide truth ** eof cafeobj-1.5.4/lib/prelude/0000755000000000000000000000000012605345045014022 5ustar rootrootcafeobj-1.5.4/lib/prelude/std.bin0000644000000000000000000000441712605345045015314 0ustar rootroot;CHAOS_BINS_____ #|| -*- Mode: LISP -*- -- Chaos internal file -- chaos version: 1.4.13 file: lib/prelude/std.bin Wed March 5 18:28:14: JST 2014 * NOTE : DO NOT MODIFY THIS FILE ULESS YOU REALLY KNOW WHAT YOU ARE DOING!. ||# ;;; ;;; Copyright (c) 2000-2015, Toshimi Sawada. All rights reserved. ;;; ;;; Redistribution and use in source and binary forms, with or without ;;; modification, are permitted provided that the following conditions ;;; are met: ;;; ;;; * Redistributions of source code must retain the above copyright ;;; notice, this list of conditions and the following disclaimer. ;;; ;;; * Redistributions in binary form must reproduce the above ;;; copyright notice, this list of conditions and the following ;;; disclaimer in the documentation and/or other materials ;;; provided with the distribution. ;;; ;;; THIS SOFTWARE IS PROVIDED BY THE AUTHOR 'AS IS' AND ANY EXPRESSED ;;; OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED ;;; WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ;;; ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY ;;; DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL ;;; DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE ;;; GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS ;;; INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, ;;; WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING ;;; NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS ;;; SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. ;;; (in-package :CHAOS) (eval-when (:execute :load-toplevel) ;;; system standard prelude. (setq *include-bool* t) (setf *current-module* nil) (setf *print-circle* nil) (setf *print-pretty* nil) (install-prelude) ;;; atuoloader (setq *autoload-alist* '(("TRUTH" . "truth") ("BOOL" . "bool") ("RWL" . "rwl") ("NZNAT" . "nznat") ("NAT" . "nat") ("INT" . "int") ("RAT" . "rat") ("FLOAT" . "float") ("CHARACTER" . "character") ("FOPL-CLAUSE" . "fopl") ;; ("PROPC" . "propc") ("STRING" . "string") ("2TUPLE" . "2tuple") ("3TUPLE" . "3tuple") ("4TUPLE" . "4tuple") ("EQL" . "eql") ("QID" . "qid") ("META-LEVEL" . "metalevel") )) ) ;;; EOF cafeobj-1.5.4/thstuff/0000755000000000000000000000000012610670557013304 5ustar rootrootcafeobj-1.5.4/thstuff/basics.lisp0000644000000000000000000006165012605345045015444 0ustar rootroot;;;-*- Mode:LISP; Package:CHAOS; Base:10; Syntax:Common-lisp -*- ;;; ;;; Copyright (c) 2000-2015, Toshimi Sawada. All rights reserved. ;;; ;;; Redistribution and use in source and binary forms, with or without ;;; modification, are permitted provided that the following conditions ;;; are met: ;;; ;;; * Redistributions of source code must retain the above copyright ;;; notice, this list of conditions and the following disclaimer. ;;; ;;; * Redistributions in binary form must reproduce the above ;;; copyright notice, this list of conditions and the following ;;; disclaimer in the documentation and/or other materials ;;; provided with the distribution. ;;; ;;; THIS SOFTWARE IS PROVIDED BY THE AUTHOR 'AS IS' AND ANY EXPRESSED ;;; OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED ;;; WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ;;; ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY ;;; DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL ;;; DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE ;;; GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS ;;; INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, ;;; WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING ;;; NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS ;;; SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. ;;; (in-package :chaos) #|============================================================================== System: CHAOS Module: thstuff File: basics.lisp ==============================================================================|# #-:chaos-debug (declaim (optimize (speed 3) (safety 0) #-GCL (debug 0))) #+:chaos-debug (declaim (optimize (speed 1) (safety 3) #-GCL (debug 3))) ;;; === Common Basic Functions for APPLY family ;;; ------------------------------------------------------------------------ ;;; ***** ;;; UTILS ;;; ***** (defun check-apply-context (mod) (unless (check-$$term-context mod) (with-output-chaos-warning () (format t "the target term : ") (print-chaos-object $$term) (print-next) (format t "isn't proper in the context : ") (print-chaos-object mod) (print-next) (format t "please re-`start' with supplying new one!") (throw 'apply-context-error nil)))) (defun command-display () (if $$action-stack (format t "~%-- condition(~s) " (length $$action-stack)) (format t "~&result ")) (disp-term $$term)) (defun command-final () (when $$action-stack ;; $$action-stack == list of ;; ($$term term rule condition rhs-instance sort) ;; 0 1 2 3 4 (if (term-is-similar? $$term *bool-true*) (progn (command-display) (format t "~%-- condition is satisfied, applying rule") (format t "~&-- shifiting focus back to previous context") (let ((cur (car $$action-stack))) (setq $$term (car cur)) (term-replace (nth 1 cur) (nth 4 cur)) (setq $$action-stack (cdr $$action-stack))) t) (if (term-is-similar? $$term *bool-false*) (progn (command-display) (format t "~%-- condition is not satisfied, rule not applied") (format t "~&-- shifting focus back to previous context") (setq $$term (caar $$action-stack)) (setq $$action-stack (cdr $$action-stack)) t) nil)))) (defun disp-term (x) (with-in-module ((get-context-module)) (term-print x) (princ " : ") (print-sort-name (term-sort x) *current-module*))) (defun disp-term* (x) (term-print x) (princ " : ") (print-sort-name (term-sort x) *current-module*)) ;;; ;;; apply-help ;;; (defun apply-help () (format t "~%Apply a selected rule, possibly with an instantiation,") (format t " to selected subterm(s).") (format t "~&Syntax:") (format t "~& apply { reduction | red | print | bred | exec | [ ] }") (format t "~& { at | within } ") (format t "~& ::= [ + | - ] [.]") (format t "~& ::= | ") (format t "~& ::= with = { , = }*") (format t "~& ::= top | term | subterm | { of }* .") (format t "~& ::= (+) | `[' [ .. ] `]' |") (format t "~& `{' {, }* `}'") ) ;;; ******************* ;;; COMPUTING SELECTION ;;; ******************* (defun str-to-int (x) (if (equal "" x) 0 (read-from-string x))) (defun !make-right-associative (method subs) (if (null (cdr subs)) (car subs) (make-right-assoc-normal-form method subs))) ;;; ;;; ________________ (defun compute-occur-selection (sort term occs) (let ((cursrt sort) (cur term)) (dolist (i occs) (if (and (<= 0 i) (<= i (length (term-subterms cur)))) (unless (zerop i) (setq cursrt (nth (1- i) (method-arity (term-head cur)))) (setq cur (nth (1- i) (term-subterms cur)))) (with-output-chaos-warning () (format t "no such occurrenct, occurrence ~a is not correct for term :" occs) (print-next) (term-print term) (print-next) (format t "ignoring it.") (return-from compute-occur-selection (values sort term))))) (values cursrt cur) )) ;;; ;;; _________________ ;;; compute-subseq-selection : sort term m n ;;; ;;; ::= [ m .. n ] | [ m ] ;;; - case [ m ] --> [ m .. m ] ;;; (defun compute-subseq-selection (sort term m1 n1) (let ((m (1- m1)) ; *note* sequence specifier is 1 origin. (n (1- n1))) (if (term-is-variable? term) (with-output-chaos-warning () (format t "found variable in selection of subsequence selection : ") (term-print term) (values sort term)) (let ((method (term-head term))) ;; [ ... ] is meaningful only for associative operators. (if (method-is-associative method) (let ((lst (list-assoc-subterms term method))) (if (and (<= m n) (<= 1 m1) (<= n1 (length lst))) (if (or (< 1 m1) (< n1 (length lst))) (let ((res (!make-right-associative method (subseq lst m (1+ n))))) (term-replace term (!make-right-associative method (append (subseq lst 0 m) (list res) (subseq lst (1+ n))))) (values (car (method-arity method)) res)) (values sort term)) (with-output-chaos-warning () (format t "selection [~a .. ~a] is out of range for term :~% " m1 n1) (term-print term) (print-next) (format t "selected the whole subterms instead.") (values sort term) ))) (with-output-chaos-warning () (format t "found non-associative operator in selection of subsequence slection : ~% ") (print-chaos-object method) (values sort term))))))) ;;; ;;; _________________ (defun compute-subset-selection (sort term occs) (if (term-is-variable? term) (with-output-chaos-warning () (format t "found variable in subset selection ~a: " occs) (term-print term) (print-next) (format t "ignoring the selection and select whole subterms instead.") (values sort term)) (let ((method (term-head term))) (if (and (method-is-associative method) (method-is-commutative method)) (let ((lst (list-AC-subterms term method))) (let ((len (length lst)) (sel nil) (rest nil) (err nil)) (dolist (i occs) (let ((n (1- i))) (if (and (<= 0 n) (< n len)) (let ((tl (nthcdr n lst))) (when (car tl) (push (car tl) sel)) (rplaca tl nil)) (push i err)))) (dolist (x lst) (when x (push x rest))) (when err (with-output-chaos-warning () (princ "found out of range in selection of subterms") (print-next) (format t "ignoring these selections : ~a" err))) (if (null rest) (values sort term) (let ((res (!make-right-associative method (nreverse sel)))) (term-replace term (!make-right-associative method (cons res (reverse rest)))) (values (car (method-arity method)) res) )))) (with-output-chaos-warning () (princ "subset selection is meaningful only for associative and commuteative operators,") (print-next) (format t "but : ") (print-chaos-object method) (princ " is not.") (print-next) (princ "ignoreing the selection and select whole subterms instead.") (values sort term))) ))) ;;; compute-set-ocs ;;; ("{" "1" "," "2" "," "4" "}") --> (1 2 4) ;;; (defun compute-set-ocs (x) (let ((res nil) (val nil)) (setq x (cdr x)) (do ((elt x (cddr elt))) ((endp elt) (nreverse res)) (setq val (str-to-int (car elt))) (pushnew val res)))) ;;; top-level interface ;;; ******************* (defvar *selection-target* nil) (declaim (special *selection-target*)) (defun compute-selection (tm sel) (let ((*selection-target* tm)) (!compute-selection *cosmos* tm (if (consp sel) (if (equal (car (last sel)) ".") (butlast sel) sel) sel)))) ;;; !compute-selection ;;; the main computing selections ;;; (defun !compute-selection (sort tm sel) ;; no selection (unless sel (return-from !compute-selection (if (not (term-eq $$term *selection-target*)) (values sort *selection-target*) (values sort $$term)))) ;; whole term (when (memq sel '(:term :top)) (return-from !compute-selection (values sort $$term))) ;; subterm (when (eq sel :subterm) (if $$subterm (return-from !compute-selection (values sort $$subterm)) (progn (with-output-chaos-warning () (format t "no subterm is specified yet, please `choose' some.") (print-next) (format t "selected the whole term.")) (values sort $$term)))) ;; (!compute-selection-aux sort tm (cons (car sel) (cadr sel)))) (defun !compute-selection-aux (sort tm sel) (unless sel (return-from !compute-selection-aux (if (not (term-eq *selection-target* $$term)) (values sort *selection-target*) (values sort $$term)))) ;; of (when (equal "of" (car sel)) (return-from !compute-selection-aux (!compute-selection-aux sort tm (cdr sel)))) ;; (case-equal (caar sel) ("(" ;; occur selection (when (equal ")" (cadr (car sel))) (return-from !compute-selection-aux (!compute-selection-aux sort tm (cdr sel)))) (multiple-value-bind (s1 t1) (!compute-selection-aux sort tm (cdr sel)) (return-from !compute-selection-aux (compute-occur-selection s1 t1 (mapcar #'str-to-int (cadr (car sel))))))) ("[" ;; subseq selection { [ m .. n ] | [ m ] } (let ((i1 (str-to-int (cadr (car sel))))) (multiple-value-bind (s1 t1) (!compute-selection-aux sort tm (cdr sel)) (compute-subseq-selection s1 t1 i1 (if (equal "]" (nth 2 (car sel))) ;; case [ m ] i1 ;; case [ m .. n ] (str-to-int (cadr (nth 2 (car sel))))))))) ("{" ;; subset selection (multiple-value-bind (s1 t1) (!compute-selection-aux sort tm (cdr sel)) (compute-subset-selection s1 t1 (compute-set-ocs (car sel))))) (t (break "SNARK: !compute-selection")))) ;;; ************** ;;; Utils on TERMS ;;; ************** (defun @copy-list-term-using-list-var (term-list list-new-var) (declare (type list term-list list-new-var) (values list list)) (let ((v-image nil) (list-copied-term nil)) (values (mapcar #'(lambda (term) (cond ((term-is-variable? term) (if (setq v-image (cdr (assoc term list-new-var :test #'variable-equal))) v-image (let ((new-var (variable-copy term))) (declare (type term new-var)) (setf list-new-var (acons term new-var list-new-var)) new-var ))) ((term-is-builtin-constant? term) term) ((term-is-lisp-form? term) term) (t (multiple-value-setq (list-copied-term list-new-var) (@copy-list-term-using-list-var (term-subterms term) list-new-var)) (make-applform (term-sort term) (term-head term) list-copied-term)))) term-list) list-new-var))) ;;; @COPY-TERM-USING-VARIABLE : term List[variable] -> term ;;; (defun @copy-term-using-variable (term list-new-var) (declare (type term term) (type list list-new-var) (values term)) (multiple-value-bind (res list-new-var-res) (@copy-list-term-using-list-var (list term) list-new-var) (declare (ignore list-new-var-res) (type list res)) (car res))) #|| (defun @copy-term (term) (simple-copy-term term)) ||# (defun @copy-term (term) (let ((vars (term-variables term))) ;; (print vars) (if vars (@copy-term-using-variable term nil) (simple-copy-term term)))) (defun @matcher (pat term type) (if (term-is-variable? pat) (if (sort<= (term-sort term) (variable-sort pat) (module-sort-order *current-module*)) (values nil (list (cons pat term)) nil nil) (values nil nil t nil)) (if (term-is-lisp-form? pat) (values nil nil t nil) (if (eq type :match) (first-match pat term) (first-unify pat term))))) (defun @test-rule-direct (rul term type) (multiple-value-bind (gs sub no eeq) (@matcher (axiom-lhs rul) term type) (declare (ignore gs sub eeq)) (null no))) (defvar *-inside-apply-with-extensions-* nil) (defun @test-rule (rule term &optional (type :match)) (multiple-value-bind (gs sub no-match eeq) (@matcher (axiom-lhs rule) term type) (declare (ignore gs sub eeq)) (if (and no-match (and *-inside-apply-with-extensions-* (not (or (term-is-variable? term) (term-is-builtin-constant? term))) (method-is-of-same-operator (term-head (axiom-lhs rule)) (term-head term)))) (@test-rule-extensions rule term type) (null no-match)))) (defun @make-ac-pattern (top term) (let ((newvar (make-variable-term *cosmos* 'ac-pat))) (make-right-assoc-normal-form top (cons newvar (list-assoc-subterms term (term-head term)))))) (defun @make-a-patterns (top term) (let ((new-var1 (make-variable-term *cosmos* 'a-pat1)) (new-var2 (make-variable-term *cosmos* 'a-pat2))) (list (make-right-assoc-normal-form top (cons new-var1 (list-assoc-subterms term (term-head term)))) (make-right-assoc-normal-form top (append (list-assoc-subterms term (term-head term)) (list new-var1))) (make-right-assoc-normal-form top (list new-var2 term new-var1))))) (defun @pat-match (pat term &optional (type :match)) (multiple-value-bind (gs sub no-match eeq) (@matcher pat term type) (declare (ignore gs eeq)) (unless no-match (return-from @pat-match (values t sub))) (if (and (term-is-application-form? term) (term-is-application-form? pat) (method-is-of-same-operator (term-head pat) (term-head term))) (let ((top (term-head pat))) (if (method-is-associative top) (dolist (npat (if (method-is-commutative top) (list (@make-ac-pattern top pat)) (@make-a-patterns top pat)) (values nil nil)) (when (and npat (progn (multiple-value-setq (gs sub no-match eeq) (@matcher npat term type)) (null no-match))) (return (values t sub)))) (values nil nil)))))) ;;; ;;; FOR := ;;; (declaim (special *m-pattern-subst*)) (defun match-m-pattern (pat term) (multiple-value-bind (res subst) (@pat-match pat term) (when res (dolist (sub subst) (push sub *m-pattern-subst*)) (return-from match-m-pattern t)) nil)) (defun @test-rule-extensions (rule term type) (let ((top (term-head (axiom-lhs rule)))) (if (method-is-associative top) (dolist (r (if (method-is-commutative top) (compute-AC-extension rule top) (compute-A-extensions rule top)) nil) (when (and r (@test-rule-direct r term type)) (return t))) nil))) ;;; ********************* ;;; VARIABLE SUBSTITUTION ;;; ********************* ;;; COMPUTE-VARIABLE-SUBSTITUTION ;;; (defun compute-variable-substitution (rule substtoks) ;; rule just for vars (let ((vars (union (term-variables (axiom-lhs rule)) (union (term-variables (axiom-rhs rule)) (term-variables (axiom-condition rule))))) (sub nil) varnm trmtoks avar aterm) (with-in-module ((get-context-module)) (loop (when (null substtoks) (return)) ;; = (setq varnm (cadr substtoks)) (setq trmtoks (nth 3 substtoks)) (setq avar (find-if #'(lambda (x) (equal (string (variable-name x)) varnm)) vars)) (setq aterm (simple-parse *current-module* trmtoks *cosmos*)) (if (and avar (not (term-is-an-error aterm))) (progn (if (not (is-in-same-connected-component (term-sort aterm) (variable-sort avar) *current-sort-order*)) (with-output-chaos-warning () (princ "sort of term is incompatible with variable sort") (print-next) (format t "variable ~a:" (string (variable-name avar))) (print-sort-name (variable-sort avar)) (print-next) (princ "term ") (print-chaos-object aterm) (princ ":") (print-sort-name (term-sort aterm))) (push (cons avar aterm) sub))) (with-output-chaos-error ('invalid-subst) (unless avar (format t "No such variable in rule: ~s" varnm) (print-next) (princ "specified substitution contains an error") ))) (setq substtoks (cddddr substtoks)))) sub)) ;;; ********************** ;;; FINDING MATCHING RULES ;;; ********************** (defstruct found-pattern rule-num direction rule subst extra occur) (defun get-subterm-pos (term pos) (let ((cur term)) (when pos (dolist (p pos) (let ((rp (1- p))) (when (>= rp 0) (setq cur (term-arg-n cur rp))) (unless cur (with-output-panic-message () (format t "could not find subterm at pos ~d" pos) (format t "~% target was ") (term-print term) (break "wow!") (chaos-error 'panic)))))) cur)) (defun find-matching-rules-all (what target module &optional (type :match) (start-pos nil)) (with-in-module (module) (when start-pos (setq target (get-subterm-pos target start-pos))) (find-matching-rules-all* what target module type start-pos))) (defun find-matching-rules-all* (what target module type pos) (let ((result (find-matching-rules what target module type))) (dolist (r result) (setf (found-pattern-occur r) pos)) (dotimes (x (length (term-subterms target))) (let ((r (find-matching-rules-all* what (term-arg-n target x) module type (append pos (list (1+ x)))))) (when r (setq result (nconc result r))))) ;; result)) (defun find-matching-rules (what target module &optional (type :match)) (with-in-module (module) (let* ((*module-all-rules-every* t) (rules (get-module-axioms *current-module* t)) (res nil)) (do* ((rls rules (cdr rls)) (rule (car rls) (car rls)) (num 1 (1+ num))) ((endp rls)) (when (or (eq what :rule) (eq what :+rule)) (multiple-value-bind (match subst) (@pat-match (axiom-lhs rule) target type) (when match (push (make-found-pattern :rule-num num :direction :+rule :rule rule :subst subst :extra (compute-extra-variables rule :+rule)) res)))) (when (and (or (eq what :rule) (eq what :-rule)) (not (eq (axiom-type rule) :rule)) (not (rule-is-builtin rule))) (multiple-value-bind (match subst) (@pat-match (axiom-rhs rule) target type) (when match (push (make-found-pattern :rule-num num :direction :-rule :rule rule :subst subst :extra (compute-extra-variables rule :-rule)) res))))) (nreverse res)))) (defun compute-extra-variables (rule direction) (let ((lhs (axiom-lhs rule)) (rhs (axiom-rhs rule)) (condition (axiom-condition rule))) (when (eq direction ':-rule) (setq lhs rhs) (setq rhs lhs)) (let* ((lvars (term-variables lhs)) (rvars (union (term-variables rhs) (term-variables condition)))) (nset-difference rvars lvars)))) ;;; EOF cafeobj-1.5.4/thstuff/bterm-inspector.lisp0000644000000000000000000003767112605345045017323 0ustar rootroot;;;-*-Mode:LISP; Package: CHAOS; Base:10; Syntax:Common-lisp -*- ;;; ;;; Copyright (c) 2000-2015, Toshimi Sawada. All rights reserved. ;;; ;;; Redistribution and use in source and binary forms, with or without ;;; modification, are permitted provided that the following conditions ;;; are met: ;;; ;;; * Redistributions of source code must retain the above copyright ;;; notice, this list of conditions and the following disclaimer. ;;; ;;; * Redistributions in binary form must reproduce the above ;;; copyright notice, this list of conditions and the following ;;; disclaimer in the documentation and/or other materials ;;; provided with the distribution. ;;; ;;; THIS SOFTWARE IS PROVIDED BY THE AUTHOR 'AS IS' AND ANY EXPRESSED ;;; OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED ;;; WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ;;; ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY ;;; DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL ;;; DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE ;;; GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS ;;; INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, ;;; WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING ;;; NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS ;;; SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. ;;; (in-package :chaos) #|============================================================================= System:CHAOS Module:thstuff File:bool-term.lisp =============================================================================|# #-:chaos-debug (declaim (optimize (speed 3) (safety 0) #-GCL (debug 0))) #+:chaos-debug (declaim (optimize (speed 1) (safety 3) #-GCL (debug 3))) (defvar *debug-bterm* nil) ;;;============================================================================= ;;; Utilities to support investigating big boolean term of xor-and normal form. ;;;============================================================================= (defvar .bterm-assoc-table. nil) (defvar .bvar-num. 0) (declaim (type fixnum .bvar-num.)) (defun clear-bterm-memo-table () (setq .bterm-assoc-table. nil)) (defun reset-bvar () (setq .bvar-num. 0) (clear-bterm-memo-table)) (defun make-bterm-variable () (let ((varname (intern (format nil "P-~d" (incf .bvar-num.))))) (make-variable-term *bool-sort* varname))) (defun get-bterm-variable (term) (let ((ent (assoc term .bterm-assoc-table. :test #'term-equational-equal))) (if ent (cdr ent) (let ((var (make-bterm-variable))) (push (cons term var) .bterm-assoc-table.) var)))) ;;; ======================================================================= ;;; Abstracted representation of a _xor_-_and_ normal form of boolean term. ;;; ABS-BTERM: ;;; abstracted boolean term. ;;; each non _and_ or _xor_ boolean sub-term is abstracted by a ;;; variable. (defstruct (abst-bterm) (module nil) ; context module (term nil) ; the original term (subst nil) ; list of substitution ; or instance of abst-bterm(for _and_ abstraction) ) (defstruct (abst-and (:include abst-bterm))) (defun print-abst-bterm (bt &optional (stream *standard-output*) &rest ignore) (declare (ignore ignore)) (with-in-module ((abst-bterm-module bt)) (if (abst-and-p bt) (princ ":and[" stream) (princ ":xor[" stream)) (let ((*print-indent* (+ 2 *print-indent*)) (num 0)) (declare (type fixnum *print-indent* num)) (dolist (sub (abst-bterm-subst bt)) (print-next nil *print-indent* stream) (format stream "(~d) " (incf num)) (if (abst-bterm-p sub) (print-abst-bterm sub stream) (progn (let ((var (car sub)) (term (cdr sub))) (term-print var) (princ " |-> ") (term-print term)))))) (princ " ]" stream))) ;;;=========================================================================== ;;; make abst-bterm from a term of sort 'Bool' ;;; xtract-xor-subterms : term ;;; returns ac subterms of the given term iff the top op is _xor_ ;;; (defun xtract-xor-subterms (term) (if (method= (term-head term) *bool-xor*) (list-ac-subterms term *bool-xor*) nil)) ;;; xtract-and-subterms : term ;;; returns ac subterms of the given term iff the top op is _and_ ;;; (defun xtract-and-subterms (term) (if (method= (term-head term) *bool-and*) (list-ac-subterms term *bool-and*) nil)) ;;; abstract-boolen-term : bool-term -> abst-bterm ;;; (defun make-and-abstraction (term subterms module) (let ((subst nil)) (dolist (sub subterms) (push (cons (get-bterm-variable sub) sub) subst)) (make-abst-and :term term :subst (nreverse subst) :module module))) ;;; assign-tf ;;; make all posssible variable substitutions with the domain {'true' ,'false'}. ;;; (defun make-tf-combination (rows columns) (let ((assignment nil) (subst (make-array (list rows columns)))) (flet ((change-parity () (if (is-true? assignment) (setq assignment *bool-false*) (setq assignment *bool-true*)))) (dotimes (c columns) (setq assignment nil) (let ((cycle (expt 2 c))) (dotimes (r rows) (if (not assignment) (setq assignment *bool-true*) (if (= 0 (mod r cycle)) (change-parity))) (setf (aref subst r c) assignment)))) subst))) (defun assign-tf (list-vars) (let* ((columns (length list-vars)) (rows (expt 2 columns)) (assignments (make-tf-combination rows columns)) (l-subst nil)) (dotimes (r rows) (let ((subst nil)) (dotimes (c columns) (push (cons (nth c list-vars) (aref assignments r c)) subst)) (push (nreverse subst) l-subst))) (when *debug-bterm* (with-in-module ((get-context-module)) (let ((num 0)) (dolist (sub (reverse l-subst)) (format t "~%(~d): " (incf num)) (print-substitution sub))))) (nreverse l-subst))) ;;; make-abst-boolean-term : term -> Values (abst-bterm List(substitution)) ;;; (defvar *abst-bterm* nil) (defvar *abst-bterm-representation* nil) (defun make-abst-boolean-term (term module) (unless (sort= (term-sort term) *bool-sort*) (with-output-chaos-warning () (format t "Given term is not of sort Bool. Ignored.") (return-from make-abst-boolean-term nil))) (!setup-reduction module) (with-in-module (module) (reset-reduced-flag term) (when *citp-verbose* (format t "~%-- computing normal form.")) (let* ((*always-memo* t) (target (reducer-no-stat term module :red))) (format t "~%--> ") (term-print term) ;; abstract (when *citp-verbose* (format t "~%-- starting abstraction")) (let ((bterm (abstract-boolean-term target module))) (setq *abst-bterm* bterm) (setq *abst-bterm-representation* (make-bterm-representation bterm)) (let ((*print-indent* (+ 2 *print-indent*))) (format t "~%** Abstracted boolean term:") (with-in-module (module) (print-next) (term-print *abst-bterm-representation*) (when *citp-verbose* (print-term-horizontal *abst-bterm-representation* module)) (print-bterm-substitution bterm *abst-bterm-representation*))))))) ;;; find-bvar-subst : variable abst-bterm -> assigned term ;;; returns the assigned term of the variable. ;;; (defun find-bvar-subst (var bterm) (declare (type abst-bterm bterm)) (dolist (sub (abst-bterm-subst bterm)) (if (abst-bterm-p sub) (let ((subst (find-bvar-subst var sub))) (when subst (return-from find-bvar-subst subst))) (when (variable= var (car sub)) (return-from find-bvar-subst (cdr sub)))))) (defun print-bterm-substitution (bterm &optional (term-representation *abst-bterm-representation*)) (declare (type abst-bterm bterm)) (with-in-module ((abst-bterm-module bterm)) (print-next) (princ "where") (let ((*print-indent* (+ 2 *print-indent*))) (dolist (var (nreverse (term-variables term-representation))) (let ((mapping (find-bvar-subst var bterm))) (unless mapping (with-output-chaos-error ('internal-err) (format t "Could not find the mapping of variable ~a." (variable-name var)))) (print-next) (term-print var) (princ " |-> ") (term-print mapping))))) (terpri)) (defun abstract-boolean-term (term module) (let ((bterm (make-abst-bterm :term term :module module)) (xor-subs (xtract-xor-subterms term)) (subst nil)) ;; reset variable number & term hash (reset-bvar) (if xor-subs ;; top operator is _xor_ ;; we further decompose by _and_ (dolist (xs xor-subs) (let ((as (xtract-and-subterms xs))) (if as (push (make-and-abstraction xs as module) subst) (push (cons (get-bterm-variable xs) xs) subst)))) ;; top operator is not xor (let ((as (xtract-and-subterms term))) (if as (push (make-and-abstraction term as module) subst) ;; we anly accept xor-and formal form (with-output-chaos-error ('invalid-term) (format t "Given term is not xor-and normal form."))))) (setf (abst-bterm-subst bterm) (nreverse subst)) bterm)) ;;; make-bterm-representation : bterm -> boolen term ;;; from bterm make a concrete representation of abstracted boolean term ;;; (defun make-and-representation (abst-and) (declare (type abst-and abst-and)) (let ((repre (make-right-assoc-normal-form *bool-and* (mapcar #'car (abst-and-subst abst-and))))) (update-lowest-parse repre) repre)) (defun make-xor-representation (bterm) (declare (type abst-bterm bterm)) (let ((repre (make-right-assoc-normal-form *bool-xor* (mapcar #'(lambda (x) (if (abst-and-p x) (make-and-representation x) (car x))) (abst-bterm-subst bterm))))) (update-lowest-parse repre) repre)) (defun make-bterm-representation (bterm) (let ((subst (abst-bterm-subst bterm))) ;; no _xor nor _and_ ops in original term (unless subst (return-from make-bterm-representation (abst-bterm-term bterm))) ;; sole _and_ term. (when (and (null (cdr subst)) (abst-and-p (car subst))) (return-from make-bterm-representation (make-and-representation (car subst)))) ;; _xor_ normal form (make-xor-representation bterm))) ;;; =========================================================================================== ;;; PRINTERS ;;; abst-bterm printers ;;; simple-print-bterm : bterm -> void (defun simple-print-bterm (bterm) (declare (type abst-bterm bterm)) (let ((aterm (make-bterm-representation bterm))) (term-print-with-sort aterm))) ;;; print-bterm-tree : bterm -> void (defun print-bterm-tree (bterm &optional (mode :vertical)) (declare (type abst-bterm bterm)) (with-in-module ((abst-bterm-module bterm)) (let ((aterm (make-bterm-representation bterm))) (if (eq mode :vertical) (print-term-graph aterm *chaos-verbose*) (print-term-horizontal (make-bterm-representation bterm) *current-module*))))) ;;; print-abs-bterm : bterm &key mode ;;; mode :simple print term representation ;;; :tree print term representation as vertical tree structure ;;; :horizontal print term representation horizontal tree structure ;;; also shows a substitution used for abstruction. ;;; (defun print-abs-bterm (bterm &key (mode :simple)) (case mode (:simple (simple-print-bterm bterm)) (:tree (print-bterm-tree bterm)) (:horizontal (print-bterm-tree bterm :horizontal)) (otherwise (with-output-chaos-error ('invalid-mode) (format t "Invalid print mode ~a." mode))))) ;;; =========================================================================================== ;;; RESOLVER ;;; computes possible solutions (assignments) which makes abstracted boolean term to be 'true.' ;;; ;;; resolve-abst-bterm : bterm ;;; retuns a list of substitution which makes bterm to be true. ;;; (defun resolve-abst-bterm (bterm &optional (module (get-context-module))) (declare (type abst-bterm bterm)) (with-in-module (module) (let* ((abst-term (make-bterm-representation bterm)) (variables (term-variables abst-term)) (answers nil)) (dolist (subst (assign-tf variables)) (let ((target (substitution-image-cp subst abst-term))) (reset-reduced-flag target) (let ((*always-memo* t)) (setq target (reducer-no-stat target module :red))) (when (is-true? $$term) (push subst answers)))) (nreverse answers)))) ;;; try-resolve-bterm ;;; finds all variable assignments which makes *abst-bterm* 'true'. ;;; (defun try-resolve-bterm () (unless *abst-bterm* (with-output-chaos-error ('no-bterm) (format t "No abstracted boolean term is specified. ~%Please do :binspect or binspect first."))) (let ((bterm *abst-bterm*) (module (abst-bterm-module *abst-bterm*))) ;; find answers (let ((ans (resolve-abst-bterm bterm module))) (cond (ans (with-in-module (module) (format t "~%** The following assignment(s) can make the term 'true'.") (let ((num 0)) (declare (type fixnum num)) (let ((*print-indent* (+ 2 *print-indent*))) (dolist (sub ans) (print-next) (format t "(~d): " (incf num)) (print-substitution sub)))))) (t (format t "~%** No solution was found."))) (values bterm ans)))) ;;; binspect-in-goal : goal-name term-form ;;; abstract boolean term in the context of the goal given by goal-name. ;;; (defun binspect-in-goal (goal-name preterm) (let* ((goal-node (get-target-goal-node goal-name)) (context-module (goal-context (ptree-node-goal goal-node))) (target (do-parse-term* preterm context-module))) (make-abst-boolean-term target context-module))) ;;; binspect-in-module ;;; abstract boolean term in the context of a module ;;; (defun binspect-in-module (mod-name preterm) (multiple-value-bind (target context-module) (do-parse-term* preterm mod-name) (make-abst-boolean-term target context-module))) ;;;========================================================================= ;;; TOP LEVEL FUNCTION ;;; ;;; binspect-in ;;; make abstracted boolean term. ;;; :binspect [in :] . ;;; binspect [in :] . ;;; (defun binspect-in (mode goal-or-module-name preterm) (cond ((eq mode :citp) (binspect-in-goal goal-or-module-name preterm)) (t (binspect-in-module goal-or-module-name preterm)))) ;;; bresolve ;;; finds variable assignments which make abst bterm 'true'. ;;; (defun bresolve () (try-resolve-bterm)) ;;; bshow ;;; print out abst bterm. ;;; bshow [tree] (defun bshow (tree?) (unless *abst-bterm* (return-from bshow nil)) (with-in-module ((abst-bterm-module *abst-bterm*)) (if (equal tree? "tree") (print-term-horizontal *abst-bterm-representation* *current-module*) (if (equal tree? ".") (term-print *abst-bterm-representation*) (with-output-chaos-error ('invalid-parameter) (format t "Unknown option ~s" tree?)))) (print-bterm-substitution *abst-bterm* *abst-bterm-representation*))) ;;; EOF cafeobj-1.5.4/thstuff/case.lisp0000644000000000000000000000764212605345045015114 0ustar rootroot;;;-*- Mode:LISP; Package:CHAOS; Base:10; Syntax:Common-lisp -*- ;;; ;;; Copyright (c) 2000-2015, Toshimi Sawada. All rights reserved. ;;; ;;; Redistribution and use in source and binary forms, with or without ;;; modification, are permitted provided that the following conditions ;;; are met: ;;; ;;; * Redistributions of source code must retain the above copyright ;;; notice, this list of conditions and the following disclaimer. ;;; ;;; * Redistributions in binary form must reproduce the above ;;; copyright notice, this list of conditions and the following ;;; disclaimer in the documentation and/or other materials ;;; provided with the distribution. ;;; ;;; THIS SOFTWARE IS PROVIDED BY THE AUTHOR 'AS IS' AND ANY EXPRESSED ;;; OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED ;;; WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ;;; ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY ;;; DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL ;;; DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE ;;; GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS ;;; INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, ;;; WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING ;;; NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS ;;; SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. ;;; (in-package :chaos) #|============================================================================== System: CHAOS Module: thstuff File: base.lisp ==============================================================================|# (defparameter .case-module-true. (%module-decl* "true-dummy" :object :user nil)) (defparameter .case-module-false. (%module-decl* "false-dummy" :object :user nil)) (defparameter .case-true-axiom. (%axiom-decl* :equation '(":case_true") :LHS '("true") nil nil)) (defparameter .case-false-axiom. (%axiom-decl* :equation '(":case_false") :LHS '("false") nil nil)) (defun perform-case-reduction (ast) (let ((bool-term (%scase-bool-term ast)) (module (%scase-module ast)) (name (%scase-name ast)) (body (parse-module-elements (%scase-body ast))) (goal-term (%scase-goal-term ast))) ;; prepare modules (setf (%module-decl-name .case-module-true.) (concatenate 'string name "-#T")) (setf (%module-decl-name .case-module-false.) (concatenate 'string name "-#F")) ;; (push (%import* :including (parse-modexp module)) body) (push (%import* :including module) body) (setf (%axiom-decl-lhs .case-true-axiom.) bool-term) (setf (%module-decl-elements .case-module-true.) (append body (list .case-true-axiom.))) (setf (%axiom-decl-lhs .case-false-axiom.) bool-term) (setf (%module-decl-elements .case-module-false.) (append body (list .case-false-axiom.))) ;; (let ((org-mod (eval-modexp module)) (true-mod (eval-ast .case-module-true.)) (false-mod (eval-ast .case-module-false.))) (when (modexp-is-error org-mod) (with-output-chaos-error ('no-such-module) (format t "No such module or invalid module expression ~s" module))) ;; CASE TRUE (with-in-module (true-mod) (compile-module *current-module*) ;; (with-output-simple-msg () (format t "===================~%") (format t ">>* CASE: true *<<~%") (format t "===================")) (perform-reduction* goal-term true-mod :red)) ;; CASE FALSE (with-in-module (false-mod) (compile-module *current-module*) ;; (with-output-simple-msg () (format t "===================~%") (format t ">>* CASE: false *<<~%") (format t "===================")) (perform-reduction* goal-term false-mod :red))))) ;;; EOF cafeobj-1.5.4/thstuff/cexec.lisp0000644000000000000000000015753212605345045015274 0ustar rootroot;;;-*-Mode:LISP; Package: CHAOS; Base:10; Syntax:Common-lisp -*- ;;; ;;; Copyright (c) 2000-2015, Toshimi Sawada. All rights reserved. ;;; ;;; Redistribution and use in source and binary forms, with or without ;;; modification, are permitted provided that the following conditions ;;; are met: ;;; ;;; * Redistributions of source code must retain the above copyright ;;; notice, this list of conditions and the following disclaimer. ;;; ;;; * Redistributions in binary form must reproduce the above ;;; copyright notice, this list of conditions and the following ;;; disclaimer in the documentation and/or other materials ;;; provided with the distribution. ;;; ;;; THIS SOFTWARE IS PROVIDED BY THE AUTHOR 'AS IS' AND ANY EXPRESSED ;;; OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED ;;; WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ;;; ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY ;;; DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL ;;; DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE ;;; GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS ;;; INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, ;;; WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING ;;; NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS ;;; SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. ;;; (in-package :chaos) #|============================================================================= System:CHAOS Module:thstuff File:cexec.lisp =============================================================================|# #-(or :chaos-debug SBCL) (declaim (optimize (speed 3) (safety 0) #-GCL (debug 0))) #+:chaos-debug (declaim (optimize (speed 1) (safety 3) #-GCL (debug 3))) ;;; (declaim (special $$cexec-term)) ; the target term ;;; ***** ;;; RULEs ;;; ***** ;;; RULE-PAT ;;; - a rule applicable to the current target ;;; - POS: position matching ;;; - RULE: the rule ;;; - SUBST: the substitution ;;; (defstruct (rule-pat (:print-function print-rule-pattern)) (pos nil :type list) ; matched position (rule nil) ; matched rule (subst nil) ; variable substitution (cond-ok t) ; t iff condition part of the rule is satisfied (condition nil) ; resulting condition part ('if') when cond-ok = nil (num 0 :type fixnum) ; sequential #, used for debugging ) (defvar .rules-so-far. 0) (defun print-rule-pattern (rpat &optional (stream *standard-output*) &rest ignore) (format stream "~%-- rule pattern: ~d" (rule-pat-num rpat)) (format stream "~% posisition: ~a" (rule-pat-pos rpat)) (format stream "~& rule :")(print-chaos-object (rule-pat-rule rpat)) (format stream "~& subst :")(print-substitution (rule-pat-subst rpat)) (format stream "~& cond-ok :~a" (rule-pat-cond-ok rpat)) (format stream "~& condition :")(term-print (rule-pat-condition rpat))) (defun make-rule-pat-with-check (pos rule subst sch-context) (when (rule-non-exec rule) ;; the rule is marked as non-executable (return-from make-rule-pat-with-check nil)) (let ((condition (rule-condition rule))) ;; pre check whether the condition part is satisfied or not (when (and (is-true? condition) (null (rule-id-condition rule))) ;; rule is not conditional (return-from make-rule-pat-with-check (make-rule-pat :pos pos :rule rule :subst subst :num (incf .rules-so-far.)))) ;; check the condition (let (($$term nil) ($$cond (set-term-color (substitution-image-cp subst condition)))) (when *cexec-debug* (format t "~%rule: cond ") (term-print-with-sort $$cond) (format t "~% subst") (print-substitution subst) (let ((vars (term-variables $$cond))) (dolist (v vars) (format t "~% var ") (term-print-with-sort v)))) (catch 'rule-failure (if (and (or (null (rule-id-condition rule)) (rule-eval-id-condition subst (rule-id-condition rule) :slow)) (is-true? (progn (normalize-term $$cond) $$cond))) ;; the condition is satisfied (return-from make-rule-pat-with-check (make-rule-pat :pos pos :rule rule :subst subst :cond-ok t :condition $$cond :num (incf .rules-so-far.))) (if (rwl-sch-context-if sch-context) ;; rule condition fail & there exists 'if' (return-from make-rule-pat-with-check (make-rule-pat :pos pos :rule rule :subst subst :cond-ok nil :condition $$cond :num (incf .rules-so-far.))) (return-from make-rule-pat-with-check nil)))) nil))) (defun rule-pat-equal (pat1 pat2) (and (equal (rule-pat-pos pat1) (rule-pat-pos pat2)) (eq (rule-pat-rule pat1) (rule-pat-rule pat2)) (substitution-equal (rule-pat-subst pat1) (rule-pat-subst pat2)))) ;;; ***** ;;; STATE ;;; ***** ;;; RWL-STATE ;;; represents a state ;;; (defstruct (rwl-state (:print-function pr-rwl-state)) (state 0 :type fixnum) ; fixnum value identifying this state (term nil) ; a term (trans-rules nil) ; applicable rules to this state (rule-pat nil) ; the rule-pat which derived this state (subst nil) ; list of substitution !! (is-final nil) ; t iff the state is a final state (loop nil) ; t iff the same state occurs more than once (condition nil) ; ) (defun state-is-valid-transition (state) (let ((cond (rwl-state-condition state))) (and (not (rwl-state-loop state)) (or (null cond) (is-true? cond))))) (defun pr-rwl-state (state &optional (stream *standard-output*) &rest ignore) (declare (ignore ignore)) (let ((*standard-output* stream)) (format t "#"))) (defun print-rwl-state (state &optional (stream *standard-output*) &rest ignore) (declare (ignore ignore) (type rwl-state state) (type stream stream)) (let ((*standard-output* stream)) (format t "~%[state ~D] " (rwl-state-state state)) (let ((*print-indent* (+ 4 *print-indent*))) (term-print-with-sort (rwl-state-term state)) (when *cexec-trace* (format t "~& matched with the substitution ")) (let ((*print-indent* (+ 4 *print-indent*))) (dolist (subst (rwl-state-subst state)) (print-next) (print-substitution subst))) (flush-all)))) (defun print-state-transition (state sub-states &optional (stream *standard-output*)) (declare (type rwl-state state) (type list sub-states) (type stream stream)) (let ((*standard-output* stream) (arc-num 0)) (declare (type fixnum arc-num)) (format t "~%[state ~D] " (rwl-state-state state)) (term-print-with-sort (rwl-state-term state)) (dolist (sub sub-states) (format t "~& arc ~D --> [state ~D] " arc-num (rwl-state-state sub)) (let ((*print-indent* (+ 4 *print-indent*))) (print-next) (print-axiom-brief (rule-pat-rule (rwl-state-rule-pat sub)))) (incf arc-num)))) ;;; *********** ;;; SEARCH TREE ;;; *********** ;;; Search tree ;;; - bi-directional dag (see comlib/dag.lisp) ;;; - datum contains an instance of rwl-state. ;;; (defstruct (rwl-sch-node (:include bdag) (:conc-name "SCH-NODE-") (:print-function pr-rwl-sch-node)) (done nil) ; t iff this node is checked already (is-solution nil)) ; t iff this node found as a solution (defmacro create-sch-node (rwl-state) `(make-rwl-sch-node :datum ,rwl-state :subnodes nil :parent nil :is-solution nil)) (defun pr-rwl-sch-node (node &optional (stream *standard-output*) &rest ignore) (declare (ignore ignore)) (let ((*standard-output* stream)) (format t "SCH-NODE:~A" (dag-node-datum node)))) ;;; ****************** ;;; RWL-SCH-NODE utils ;;; ****************** ;;; print the rule & state ;;; (defun show-rwl-sch-state (dag &optional (path? t) (bind-pattern nil)) (declare (type rwl-sch-node dag)) (let* ((st (dag-node-datum dag)) (term (rwl-state-term st)) (rl (rule-pat-rule (rwl-state-rule-pat st))) (state (rwl-state-state st))) (when (and rl path?) (print-next) (princ " ") (let ((*print-indent* (+ 8 *print-indent*))) (print-axiom-brief rl))) (format t "~%[state ~D] " state) (term-print-with-sort term) (dolist (sub (rwl-state-subst st)) (format t "~& ") (print-substitution sub) (when bind-pattern (let ((bimage (substitution-image-simplifying sub bind-pattern))) (normalize-term bimage) (format t "~% => ") (term-print-with-sort bimage)))))) ;;; print the label of a rule which derived a state ;;; that denode contains. ;;; (defun show-rwl-sch-label (dnode) (declare (type rwl-sch-node dnode)) (let* ((dt (dag-node-datum dnode)) (rl (rule-pat-rule (rwl-state-rule-pat dt))) (label (car (rule-labels rl)))) (if label (format t "~&[~a]" label) (format t "~&NONE")))) ;;; ************** ;;; SEARCH CONTEXT ;;; ************** ;;; RWL-SCH-CONTEXT ;;; (defstruct (rwl-sch-context (:print-function print-sch-context)) (module nil) ; context module (term nil) ; initial term (pattern nil) ; pattern to be matched (condition nil) ; =(*)=> with COND (zero-trans-allowed nil) ; ... =>* (final-check nil) ; ... =>! (max-sol most-positive-fixnum :type fixnum) ; =(max-sol, )=> (sol-found 0 :type fixnum) ; found solutions so far (max-depth most-positive-fixnum :type fixnum) ; =(, max-depth)=> (cur-depth 0 :type fixnum) ; current depth (root nil) ; root node of the search tree ; (an instance of rwl-sch-node) ;; (states-so-far 0 :type integer) ; # of states so far (trans-so-far 0 :type integer) ; # of transitions so far (last-siblings nil) ; nodes to be checked ; initially, this contains the root. (state-predicate nil) ; STATE equality predicate (answers nil) ; list of STATEs satisfying specified ; conditions. (bind nil) ; .... (if nil) ; (pr-out? nil) ; ) (defun print-sch-context (ctxt &optional (stream *standard-output*) &rest ignore) (declare (ignore ignore)) (let ((*standard-output* stream) (mod (rwl-sch-context-module ctxt))) (with-in-module (mod) (format t "~%<< sch context >>") (format t "~% module: ") (print-chaos-object (rwl-sch-context-module ctxt)) (format t "~% term: ") (term-print-with-sort (rwl-sch-context-term ctxt)) (format t "~% pattern: ") (term-print-with-sort (rwl-sch-context-pattern ctxt)) (format t "~% condition: ") (if (rwl-sch-context-condition ctxt) (term-print-with-sort (rwl-sch-context-condition ctxt)) (princ "None.")) (format t "~% zero?: ~A" (rwl-sch-context-zero-trans-allowed ctxt)) (format t "~% final?: ~A" (rwl-sch-context-final-check ctxt)) (format t "~% max sol. : ~D" (rwl-sch-context-max-sol ctxt)) (format t "~% solutions: ~D" (rwl-sch-context-sol-found ctxt)) (format t "~% max depth: ~D" (rwl-sch-context-max-depth ctxt)) (format t "~% current depth: ~D" (rwl-sch-context-cur-depth ctxt)) (format t "~% root node: ~A" (rwl-sch-context-root ctxt)) ;; (format t "~% states: ~D" (rwl-sch-context-states-so-far ctxt)) (format t "~% transitions: ~D" (rwl-sch-context-trans-so-far ctxt)) (format t "~% last siblings: ") (dolist (s (rwl-sch-context-last-siblings ctxt)) (format t "~% ~A" s)) (format t "~% answers: ") (dolist (x (reverse (rwl-sch-context-answers ctxt))) (term-print-with-sort (rwl-state-term x))) (when (rwl-sch-context-bind ctxt) (format t "~% bind pattern: ") (term-print-with-sort (rwl-sch-context-bind ctxt))) (when (rwl-sch-context-if ctxt) (format t "~% if: ") (term-print-with-sort (rwl-sch-context-if ctxt)))))) ;;; .RWL-SCH-CONTEXT. ;;; moved to comlib/globals.lisp ;;; (defvar .rwl-sch-context. nil) ;;; ********************* ;;; SEARCH CONTEXT UTILS ;;; ********************* ;;; show-rwl-sch-graph ;;; (defun show-rwl-sch-graph (&optional num) (let ((c-num (if num (read-from-string num) 0)) (sch-context nil)) (unless (integerp c-num) (with-output-chaos-error ('invalid-context-number) (format t "invalid search graph number ~s" num))) (setq sch-context (nth c-num (reverse .rwl-context-stack.))) (unless sch-context (with-output-chaos-error ('no-such-context) (format t "no such search graph ~d" num))) (let ((mod (rwl-sch-context-module sch-context)) (root (rwl-sch-context-root sch-context))) (unless mod (with-output-chaos-error ('no-context) (format t "no context module..."))) (unless root (with-output-chaos-error ('no-root) (format t "no search result exists..."))) (when (and *current-module* (not (eq *current-module* mod))) (with-output-chaos-warning () (format t "the context(module) of search graph is different from the current module."))) ;; (with-in-module (mod) (let ((state-hash (make-hash-table))) (dag-wfs root #'(lambda (d) (let* ((state-node (dag-node-datum d)) (state (rwl-state-state state-node))) (unless (gethash state state-hash) (setf (gethash state state-hash) t) (print-state-transition state-node (mapcar #'(lambda (sd) (dag-node-datum sd)) (dag-node-subnodes d)))))))))))) (defun find-rwl-sch-state (num &optional (sch-context .rwl-sch-context.)) (declare (type fixnum num)) (unless sch-context (with-output-chaos-error ('no-root-node) (format t "no search result exists"))) (let ((dag nil)) (setq dag (catch 'dag-found (dag-wfs (rwl-sch-context-root sch-context) #'(lambda (d) (let ((st (dag-node-datum d))) (when (= (rwl-state-state st) num) (throw 'dag-found d))))) nil)) dag)) (defun find-rwl-sch-state-globally (num) (declare (type fixnum num)) (dolist (context .rwl-context-stack.) (let ((st (find-rwl-sch-state num context))) (when st (return-from find-rwl-sch-state-globally (values context st)))))) (defun show-rwl-sch-path (num-tok &optional (label? nil) (sch-context .rwl-sch-context.) (state-only? nil)) (unless num-tok (return-from show-rwl-sch-path (format t "~%nothing to be reported..."))) (unless sch-context (with-output-chaos-error ('no-context) (format t "~%there is no search context."))) (let ((num (read-from-string num-tok))) (unless (and (integerp num) (>= num 0)) (with-output-chaos-error () (format t "state must be a positive integer value."))) (multiple-value-bind (sch-context dag) (find-rwl-sch-state-globally num) (unless dag (with-output-chaos-error ('no-state) (format t "no such state ~D" num))) (let ((mod (rwl-sch-context-module sch-context))) (when (and *current-module* (not (eq *current-module* mod))) (with-output-chaos-warning () (format t "the context(module) of search result is different from the current module."))) (with-in-module (mod) (cond (state-only? (show-rwl-sch-state dag nil (rwl-sch-context-bind sch-context))) (t (let ((parents (get-bdag-parents dag))) (cond (label? (dolist (p (cdr parents)) ;root has no transition (show-rwl-sch-label p)) (show-rwl-sch-label dag)) (t (dolist (p parents) (show-rwl-sch-state p t (rwl-sch-context-bind sch-context))) (show-rwl-sch-state dag t (rwl-sch-context-bind sch-context)))))))))))) ;;; ************* ;;; PATTERN MATCH ;;; ************* ;;; finds all transition rules possibly applicable to the given target term ;;; (defun find-matching-rules-for-exec (target sch-context &optional start-pos) (let ((module (rwl-sch-context-module sch-context))) (when start-pos (setq target (get-target-subterm target start-pos))) (with-in-module (module) (let* ((*module-all-rules-every* t) (rules (get-module-axioms *current-module* t)) (rls nil) (res nil)) (dolist (rule rules) (when (rule-is-rule rule) (push rule rls))) ;; gather rules (setq res (find-matching-rules-for-exec* target rls start-pos sch-context)) (setq res (delete-duplicates res :test #'rule-pat-equal)) (when *cexec-debug* (format t "~%** ~D rules were found for term: " (length res)) (term-print target) (terpri) (dolist (r res) (print-rule-pattern r))) res )))) (defun find-matching-rules-for-exec* (target rules pos sch-context) (when *cexec-debug* (format t "~%find matching rules. ") (term-print target) (terpri)) (if (term-is-application-form? target) (let ((res nil) (rule-pat nil)) (do* ((rls rules (cdr rls)) (rule (car rls) (car rls))) ((endp rls)) (let* ((patterns nil) (lhs (rule-lhs rule)) (head (if (term-is-variable? lhs) nil (term-head lhs)))) (push rule patterns) ;; ------- apply-rule always applies extensions (when head (when (method-is-associative head) (if (method-is-commutative head) (let ((ac-ext (give-AC-extension rule))) (when ac-ext (unless (car ac-ext) (print ac-ext) (break "Here it is!")) (push (car ac-ext) patterns))) ;; (let ((a-exts (give-A-extensions rule))) (dolist (r a-exts) (when r (push r patterns))))))) ;; ------------ (dolist (pat patterns) (block next (unless pat (break "HANA my")) ;; find all possible subst (multiple-value-bind (gs sub no-match eeq) (@matcher (axiom-lhs pat) target :match) (declare (ignore eeq)) (when no-match (return-from next)) (setq rule-pat (make-rule-pat-with-check pos pat sub sch-context)) (when rule-pat (push rule-pat res)) (loop (multiple-value-setq (gs sub no-match) (next-match gs)) (when no-match (return-from next)) (setq rule-pat (make-rule-pat-with-check pos pat sub sch-context)) (when rule-pat (push rule-pat res)))))) )) ; done for all rules ;; recursively find rules for subterms (dotimes (x (length (term-subterms target))) (let ((r (find-matching-rules-for-exec* (term-arg-n target x) rules (append pos (list x)) sch-context))) (when r (setq res (nconc res r))))) ;; res) nil)) ;;; **************** ;;; SOLUTION CHECKER ;;; **************** (defun if-binding-should-be-printed (sch-context) (and (rwl-sch-context-if sch-context) ;; (not *rwl-search-no-state-report*) (<= (rwl-sch-context-cur-depth sch-context) (rwl-sch-context-max-depth sch-context)))) ;;; rwl-sch-check-conditions (node rwl-sch-context) ;;; check if the given state matches to the target pattern. ;;; return t iff matches, otherwise nil. ;;; (defun rwl-sch-check-conditions (node sch-context) (declare (type rwl-sch-node node) (type rwl-sch-context sch-context)) (flet ((condition-check-ok (subst) (let ((cond (rwl-sch-context-condition sch-context)) ($$term nil) ($$cond nil) (*rewrite-exec-mode* (if *rewrite-exec-condition* *rewrite-exec-mode* nil))) (if (null cond) (setq $$cond *bool-true*) (setq $$cond (set-term-color (substitution-image-cp subst cond)))) (when *cexec-debug* (format t "~% subst :") (print-substitution subst) (format t "~& suchThat :") (term-print $$cond)) (or (is-true? $$cond) (is-true? (progn (if *cexec-debug* (let (($$trace-rewrite t)) (print-term-tree $$cond t) (normalize-term $$cond)) (normalize-term $$cond)) (when *cexec-debug* (format t " -C-> ") (term-print $$cond) (format t "~% = ~s" (is-true? $$cond))) $$cond)))))) ;; if checked already, we return immediately as non. (when (and (sch-node-done node) (null (rwl-sch-context-if sch-context))) (return-from rwl-sch-check-conditions nil)) ;; (let* ((state (dag-node-datum node)) (if-var (rwl-sch-context-if sch-context)) (rule-pat (rwl-state-rule-pat state))) (declare (type rwl-state state)) (when *chaos-verbose* (format t " ~D" (rwl-state-state state))) (setf (sch-node-done node) t) ; mark checked already (when *cexec-debug* (when (rwl-sch-context-condition sch-context) (format t "~%** check condition ") (term-print-with-sort (rwl-sch-context-condition sch-context)) (if rule-pat (print-rule-pattern rule-pat) (format t "~% no rule-pat.")))) ;; 0 transition? (when (and (not (rwl-sch-context-zero-trans-allowed sch-context)) (= 0 (rwl-sch-context-trans-so-far sch-context))) (when *cexec-debug* (format t "~%.check condition return with 0 transition.")) (return-from rwl-sch-check-conditions nil)) ;; check with target pattern. (multiple-value-bind (gs sub no-match eeq) (@matcher (rwl-sch-context-pattern sch-context) (rwl-state-term state) :match) (declare (ignore eeq)) (when no-match (when *cexec-debug* (format t "~%.check condition return with no-match.")) (return-from rwl-sch-check-conditions nil)) ;; expand subst with (when rule-pat (setq sub (append sub (rule-pat-subst rule-pat)))) ;; additionaly expand subst 'if' part bindings (when if-var (setq sub (substitution-add sub if-var (or (rwl-state-condition state) *bool-true*)))) (when (condition-check-ok sub) (when (if-binding-should-be-printed sch-context) ; if-var (pr-used-rule state) (print-subst-if-binding-result state sub sch-context)) (when (state-is-valid-transition state) (push sub (rwl-state-subst state)))) ;; try other patterns untill there's no hope (loop (multiple-value-setq (gs sub no-match) (next-match gs)) (when no-match (return)) ;; expand subst with (setq sub (append sub (rule-pat-subst rule-pat))) (when if-var (setq sub (substitution-add sub if-var (or (rwl-state-condition state) *bool-true*)))) (when (condition-check-ok sub) (when (if-binding-should-be-printed sch-context) ; if-var (when (pr-used-rule state) (print-subst-if-binding-result state sub sch-context))) (when (state-is-valid-transition state) (push sub (rwl-state-subst state)))))) (not (null (rwl-state-subst state)))))) (defun pr-used-rule (state) (let ((rule-pat (rwl-state-rule-pat state)) (rule nil)) (unless rule-pat (return-from pr-used-rule nil)) (setq rule (rule-pat-rule rule-pat)) (unless *print-exec-rule* (when (member (axiom-kind rule) .ext-rule-kinds.) (return-from pr-used-rule nil))) (unless *rwl-search-no-state-report* (format t "~%=> ") (print-axiom-brief rule)) t)) (defun print-subst-if-binding-result (state sub sch-context) (declare (ignore state)) (setf (rwl-sch-context-pr-out? sch-context) t) (unless *rwl-search-no-state-report* (format t "~% ") (print-substitution sub) (when (rwl-sch-context-bind sch-context) (let ((bimg (substitution-image-simplifying sub (rwl-sch-context-bind sch-context)))) (normalize-term bimg) (format t "~% --> ") (term-print-with-sort bimg))))) ;;; ****************** ;;; SOME UTILs on TERM ;;; ****************** ;;; returns a subterm at position 'pos' ;;; (defun get-target-subterm (term pos) (let ((cur term)) (when pos (dolist (p pos) (setq cur (term-arg-n cur p)) (unless cur (with-output-panic-message () (format t "could not find subterm at pos ~d" pos) (format t "~% target was ") (term-print term) (break "wow!") (chaos-error 'panic))))) cur)) ;;; ********* ;;; TERM HASH ;;; ********* (defvar .cexec-term-hash. nil) (defun initialize-cexec-term-hash () (unless .cexec-term-hash. (setq .cexec-term-hash. (alloc-svec term-hash-size))) (clear-term-memo-table .cexec-term-hash.)) #-GCL (declaim (inline get-sch-hashed-term)) (#-GCL defun #+GCL si:define-inline-function get-sch-hashed-term (term term-hash) (let ((val (hash-term term))) ;; (declare (type term-hash-key val)) (let* ((ent (svref term-hash (mod val term-hash-size))) (val (cdr (assoc term ent :test #'term-equational-equal)))) (when val (incf (the (unsigned-byte 29) *term-memo-hash-hit*))) val))) #-GCL (declaim (inline set-sch-hashed-term)) (#-GCL defun #+GCL si:define-inline-function set-sch-hashed-term (term term-hash value) (let ((val (hash-term term))) ;; (declare (type term-hash-key val)) (let ((ind (mod val term-hash-size))) (let ((ent (svref term-hash ind))) (let ((pr (assoc term ent :test #'term-equational-equal))) (if pr (rplacd pr value) (setf (svref term-hash ind) (cons (cons term value) ent)))))))) (defmacro cexec-get-hashed-term (term) `(get-sch-hashed-term ,term .cexec-term-hash.)) (defmacro cexec-set-hashed-term (term state-num) `(set-sch-hashed-term ,term .cexec-term-hash. ,state-num)) (defun cexec-sch-check-predicate (term t1 pred-pat) (let ((pred (car pred-pat)) (vars (cdr pred-pat)) (subst nil) (res nil)) ;; make substittion (if (sort<= (term-sort term) (term-sort (car vars)) *current-sort-order*) (push (cons (car vars) term) subst) (with-output-chaos-error ('invalid-state) (format t "withStateEq: sort of term does not match with variable:") (format t "~% variable: ") (term-print-with-sort (car vars)) (format t "~% term: ") (term-print-with-sort term))) (if (sort<= (term-sort term) (term-sort (cadr vars)) *current-sort-order*) (push (cons (cadr vars) t1) subst) (with-output-chaos-error ('invalid-state) (format t "withStateEq: sort of term does not match with variable:") (format t "~% variable: ") (term-print-with-sort (cadr vars)) (format t "~% term: ") (term-print-with-sort t1))) ;; apply subst with coping pred ;; then reduce (setq res (is-true? (let (($$cond (set-term-color (substitution-image-cp subst pred))) (*rewrite-exec-mode* (if *rewrite-exec-condition* *rewrite-exec-mode* nil))) (normalize-term $$cond) $$cond))) (when (and res *cexec-trace*) (format t "~%** state predicate returned `true'.")) res)) (defun cexec-loop-check (term sch-context) (or (cexec-get-hashed-term term) (let ((pred-pat (rwl-sch-context-state-predicate sch-context))) (if pred-pat (dotimes (x term-hash-size nil) (let ((ent (svref .cexec-term-hash. x))) (dolist (e ent) (let ((t1 (car e))) (when (cexec-sch-check-predicate term t1 pred-pat) (return-from cexec-loop-check (cdr e))))))) nil)))) ;;; ;;; MAKE-RWL-STATE-WITH-HASH ;;; (defun make-rwl-state-with-hash (target rule-pat sch-context) (let* ((ostate-num (cexec-loop-check target sch-context)) ;; (rule (rule-pat-rule rule-pat)) (condition (rule-pat-condition rule-pat)) (new-state nil)) (cond (ostate-num ;; this means the same state has alredy been generated ;; from a node other than this node. ;; we create brand new state with the same state number (setq new-state (make-rwl-state :state ostate-num :term target :rule-pat rule-pat :subst nil :condition condition)) (when (or *cexec-trace* *chaos-verbose*) (format t "~%* loop")) (setf (rwl-state-loop new-state) t)) (t (let ((state-num (incf .rwl-states-so-far.))) (setq new-state (make-rwl-state :state state-num :term target :rule-pat rule-pat :subst nil :condition condition)) ;; register the term (when *cexec-debug* (format t "~%** hashing state ~D" state-num)) (cexec-set-hashed-term target state-num)))) ;; new-state)) ;;; ******************* ;;; ONE STEP TRANSITION ;;; ******************* ;;; RWL-STATE-SET-TRANSITION-RULES ;;; (defun rwl-state-set-transition-rules (state sch-context) (let ((rule-pats (find-matching-rules-for-exec (rwl-state-term state) sch-context))) (setf (rwl-state-trans-rules state) rule-pats) (unless rule-pats (setf (rwl-state-is-final state) t)))) ;;; ;;; APPLY-RULE-CEXEC: rule target -> Bool ;;; (defun apply-rule-cexec (rule term subst) (catch 'rule-failure (progn (term-replace-dd-simple term (set-term-color (substitution-image-simplifying subst (rule-rhs rule) (rule-need-copy rule) :slow))) (return-from apply-rule-cexec t))) nil) ;;; CEXEC-TERM-1 (state-as-dag) ;;; ;;; - compute all possible transitions from the given state(an instance of ;;; rwl-sch-node). ;;; - returns the list of substates which derived from the given state. ;;; - NOTE: term of the given state is NOT modified. ;;; (defun cexec-term-1 (dag sch-context) ; node-num ... (declare (type rwl-sch-node dag) (type rwl-sch-context sch-context) ; (type fixnum node-num) ) ;; (let* ((state (dag-node-datum dag)) (term (rwl-state-term state))) (flet ((no-more-transition () (when (or *cexec-trace* *chaos-verbose*) (when (and (term-is-applform? term) (method-has-trans-rule (term-head term))) (with-output-simple-msg () (format t "-- no more transitions from state ~D." (rwl-state-state state))))) (setf (rwl-state-is-final state) t) nil) (exec-trace-form () (format t "=(~a,~a)=>~a" (if (= (rwl-sch-context-max-sol sch-context) most-positive-fixnum) "*" (rwl-sch-context-max-sol sch-context)) (rwl-sch-context-cur-depth sch-context) (if (rwl-sch-context-final-check sch-context) "!" (if (rwl-sch-context-zero-trans-allowed sch-context) "*" "+")))) (state-is-valid? (state) (let ((cond (rwl-state-condition state))) (or (null cond) (is-true? cond))))) ;; (unless (state-is-valid? state) (return-from cexec-term-1 nil)) ;; (let ((xterm term) (ptrans? (dag-node-subnodes dag))) (when *cexec-debug* (format t "~%[cexec-term-1] target = ") (let ((*fancy-print* nil)) (term-print-with-sort xterm)) (flush-all)) ;; already computed .. (when ptrans? (return-from cexec-term-1 ptrans?)) ;; ;; apply all rules found ;; (let ((rule-pats (rwl-state-trans-rules state)) (*rewrite-exec-mode* t) (sub-states nil) (real-pats nil)) (setq real-pats (remove-if #'(lambda (x) (not (rule-pat-cond-ok x))) rule-pats)) (when *cexec-debug* (format t "~%++ ~D rule patterns for state" (length rule-pats)) (pr-rwl-state state)) (when *chaos-verbose* (format t "~%-- from [state ~D] " (rwl-state-state state)) (format t "~D possible transitions....." (length real-pats))) ;; (unless rule-pats ;; no rules (no-more-transition) (return-from cexec-term-1 nil)) ;; (when *cexec-trace* (flush-all) (format t "~%~%**> Step ~D from [state ~D] " (rwl-sch-context-cur-depth sch-context) (rwl-state-state state)) (term-print-with-sort (rwl-state-term state)) (flush-all)) ;; apply all possible rules (do* ((rls rule-pats (cdr rls)) (rule-pat (car rls) (car rls))) ;; ((endp rls)) ((null rule-pat)) (let* ((target-whole (simple-copy-term xterm)) (target (get-target-subterm target-whole (rule-pat-pos rule-pat)))) #|| (when (eq target-whole target) (setq target (simple-copy-term target-whole))) ||# ;; the following should be done iff the target is NOT ;; in hash table + register target in hash. (when (apply-rule-cexec (rule-pat-rule rule-pat) target (rule-pat-subst rule-pat)) #|| (when (rule-pat-cond-ok rule-pat) (incf (rwl-sch-context-trans-so-far sch-context))) ||# (incf (rwl-sch-context-trans-so-far sch-context)) ;; (when *cexec-normalize* (when *cexec-debug* (format t "~%.. start doing normalization because cexec normalize is on.~% -- ") (term-print target-whole)) (let ((*rewrite-exec-mode* nil) (xterm (if (and *cexec-trace* *chaos-verbose*) (simple-copy-term target-whole) nil))) (mark-term-as-not-lowest-parsed target-whole) (reset-reduced-flag target-whole) (rewrite* target-whole) (when *cexec-debug* (format t "~&==> ") (term-print target-whole)) (when xterm (print-next) (unless (term-equational-equal xterm target-whole) (flush-all) (let ((*fancy-print* nil) (*print-indent* (+ 4 *print-indent*))) (princ "> pre normalization : ") (term-print xterm) (print-next) (princ "== ") (term-print target-whole)) (flush-all))))) ;; (let ((sub-state (make-rwl-state-with-hash target-whole rule-pat sch-context))) (when (and sub-state ;; (rule-pat-cond-ok rule-pat) t ) (when *cexec-debug* (format t "~%** used rule pat = ~d" (rule-pat-num rule-pat))) (when *cexec-trace* (print-next) (flush-all) (let ((*fancy-print* nil) (*print-indent* (+ 4 *print-indent*))) (format t "@[~{~d~^ ~}]" (mapcar #'1+ (rule-pat-pos rule-pat))) (exec-trace-form) (format t " [state ~D] " (rwl-state-state sub-state)) (term-print-with-sort target-whole) (print-next) (print-axiom-brief (rule-pat-rule rule-pat)) (print-next) (print-substitution (rule-pat-subst rule-pat))) ; *** (flush-all)) (push sub-state sub-states)))))) ; done apply all rules (if sub-states (progn (when *chaos-verbose* (format t " => ~D (new) states." (length sub-states) )) sub-states) (progn ;; for some unknown reason, no real transitions happened... (no-more-transition) nil))))))) ;;; RWL-STEP-FORWARD-1 ;;; given a rwl-sch-context, execute one step transition for ;;; each `last-siblings' & check if derived terms match to `pattern'. ;;; (defun rwl-step-forward-1 (sch-context) (declare (type rwl-sch-context sch-context)) ;; check # of transitions (when (>= (rwl-sch-context-trans-so-far sch-context) *cexec-limit*) (return-from rwl-step-forward-1 (values :max-transitions nil))) ;; (let ((to-do (rwl-sch-context-last-siblings sch-context)) (found? nil)) (when *chaos-verbose* (format t "~%-- ~D state(s) to be examined --" (length to-do))) ;; ;; 1. check for each state if it satisfies the target conditions ;; (when *chaos-verbose* (format t "~&.....condition check for each state.....~%")) (loop (unless to-do (return nil)) ; done for every state (block :continue (let ((node (pop to-do))) (declare (type rwl-sch-node node)) ;; (when (sch-node-done node) ;; already checked (return-from :continue nil)) ;; (let ((state (dag-node-datum node))) ;; first prepare applicable rules for the next transition, ;; this also marks the state `is-final' iff there are no rules. (rwl-state-set-transition-rules state sch-context) ;; check state (when (and (rwl-sch-context-final-check sch-context) (not (rwl-state-is-final state))) (return-from :continue nil)) ; skip this node ;; (when (rwl-sch-check-conditions node sch-context) ;; register answer state (push (dag-node-datum node) (rwl-sch-context-answers sch-context)) ;; (unless *rwl-search-no-state-report* (format t "~%** Found [state ~D] " (rwl-state-state state)) (term-print-with-sort (rwl-state-term state)) (dolist (sub (rwl-state-subst state)) (print-subst-if-binding-result state sub sch-context) ) (format t "~&")) (setf (sch-node-is-solution node) t) ; mark the node as solution (incf (rwl-sch-context-sol-found sch-context)) (setq found? :found) ; we found at least one solution ;; check the # of solutions (when (>= (rwl-sch-context-sol-found sch-context) (rwl-sch-context-max-sol sch-context)) ;; reaches to the # solutions required. ;; mesg (unless *rwl-search-no-state-report* (format t "~%-- found required number of solutions ~D." (rwl-sch-context-max-sol sch-context))) (return-from rwl-step-forward-1 (values :max-solutions nil)))))) ) ; continue ) ; end loop ;; ;; 2. perform the next transitions for each node ;; (when *chaos-verbose* (format t "~%** precompute the next all states......")) ;; increment depth (incf (rwl-sch-context-cur-depth sch-context)) ;; (let ((next-subs nil)) (dolist (n (rwl-sch-context-last-siblings sch-context)) ;; (unless n (break "wow! wow! ")) (let ((subs (cexec-term-1 n sch-context)) (nexts nil)) (dolist (state subs) (let ((dag (create-sch-node state))) (setf (bdag-parent dag) n) (push dag (dag-node-subnodes n)) (if (rwl-state-loop state) ;; mark `done' if the state is already ;; visited before.. (progn (setf (sch-node-done dag) t) (when (rwl-sch-context-if sch-context) (when *cexec-debug* (format t "~%** calling check condition for reporting only.")) (rwl-sch-check-conditions dag sch-context))) ; for reporting only (push dag nexts)))) (setq next-subs (nconc next-subs nexts)))) ;; ;; 3. lastly, set the next states as `last-siblings' ;; (setf (rwl-sch-context-last-siblings sch-context) next-subs) ;; (values found? (if next-subs nil :no-more))))) ;;; ********* ;;; TOP LEVEL functions ;;; ********* (defun make-anything-is-ok-term () (make-variable-term *cosmos* (gensym "Univ"))) (defun rwl-search* (t1 t2 max-result max-depth zero? final? &optional cond pred-pat module bind if) (with-in-module (module) (unless t2 (setq t2 (make-anything-is-ok-term))) ;; t1 and t2 must be in the same connected component (let ((t1-sort (term-sort t1)) (t2-sort (term-sort t2))) (unless (is-in-same-connected-component t1-sort t2-sort *current-sort-order*) (with-output-chaos-error ('invalid-sort) (format t "Sorts of the source term and the target pattern must be in the same connected component.") (format t "~% Source term : ") (term-print-with-sort t1) (format t "~& Target pattern: ") (term-print-with-sort t2)))) (let ((svars (term-variables t1)) ; variables in source (pvars (term-variables t2)) ; variables in pattern (cvars (if cond ; variables in suchThat (term-variables cond) nil)) (predvars (if pred-pat ; variables in stateEq (term-variables pred-pat) nil)) (ifvars (if if (term-variables if) nil)) (allvars nil) (.rules-so-far. 0)) (setq allvars (union svars (union pvars ifvars))) ;; check suchThat (when cvars (unless (subsetp cvars allvars) (with-output-chaos-error ('invalid-such-that) (format t "`suchThat' introduces new variable(s).")))) ;; check variables (dolist (v svars) (when (memq v pvars) (with-output-chaos-error ('subject-var-occus) (format t "Variable ") (term-print-with-sort v) ;; (format t " in subject term occurs in target pattern or coditions..") (format t " in subject term occurs in target pattern.") (format t "~& subject: ") (term-print-with-sort t1) (format t "~& pattern: ") (term-print-with-sort t2)))) (dolist (v predvars) (when (or (memq v svars) (memq v pvars) (memq v cvars)) (with-output-chaos-error ('invalid-stateEq) (format t "Variable ") (term-print-with-sort v) (format t " in 'stateEq' occurs in subject term or target pattern or 'suchThat'..")))) ;; (let ((sch-context (make-rwl-sch-context :module module :term t1 :pattern t2 :condition cond :zero-trans-allowed zero? :final-check final? :max-sol max-result :max-depth max-depth :state-predicate nil :bind bind :if if)) (root nil) (res nil) (no-more nil) (found? nil)) (flet ((make-state-pred-pat () (cond (pred-pat (let ((vars (term-variables pred-pat))) (unless (sort= (term-sort pred-pat) *Bool-sort*) (with-output-chaos-error ('invalid-sort) (format t "state equality must be of a term of sort Bool."))) (unless (= 2 (length vars)) (with-output-chaos-error ('number-of-variables) (format t "state equality pattern must have exactly 2 different variables in it, but ~D given." (length vars)))) (unless (sort= (variable-sort (car vars)) (variable-sort (cadr vars))) (with-output-chaos-error ('different-variable-sort) (format t "variables in state equality pattern must be of the same sort."))) (unless (sort<= (term-sort t2) (term-sort (car vars)) *current-sort-order*) (with-output-chaos-error ('invalid-variable-sort) (format t "invalid sort of variable in state equality pattern."))) (cons pred-pat vars))) (t nil)))) ;; ;; initialize search context ;; (setf (rwl-sch-context-cur-depth sch-context) 0 (rwl-sch-context-sol-found sch-context) 0 (rwl-sch-context-trans-so-far sch-context) 0 root (create-sch-node (make-rwl-state :state 0 :term t1))) (setf (rwl-sch-context-root sch-context) root (rwl-sch-context-last-siblings sch-context) (list root) (rwl-sch-context-answers sch-context) nil) ;; state equality predicate (setf (rwl-sch-context-state-predicate sch-context) (make-state-pred-pat)) ;; bind context to global for later use... (setf .rwl-sch-context. sch-context) (push sch-context .rwl-context-stack.) ;; term hash (initialize-cexec-term-hash) (cexec-set-hashed-term t1 0) ;; ;; do the search ;; (when *cexec-debug* (print sch-context)) (loop (when *chaos-verbose* (format t "~%** << level ~D >>" (rwl-sch-context-cur-depth sch-context))) (multiple-value-setq (res no-more) (rwl-step-forward-1 sch-context)) (case res (:max-transitions (return nil)) ; exit loop (:max-solutions (setq found? t) (return nil)) ; exit loop (:found (setq found? t)) ; continue.. (otherwise nil)) (when no-more (unless *rwl-search-no-state-report* (format t "~%** No more possible transitions.")) (return nil)) ; exit if no more ... ;; one step deeper (when (> (rwl-sch-context-cur-depth sch-context) (rwl-sch-context-max-depth sch-context)) (unless *rwl-search-no-state-report* (format t "~%-- reached to the specified search depth ~D." (rwl-sch-context-max-depth sch-context))) (return-from rwl-search* (if (rwl-sch-context-if sch-context) (if (rwl-sch-context-pr-out? sch-context) :found nil) (if found? :found :max-depth))))) ; end loop ;; any solution? (cond ((rwl-sch-context-if sch-context) (if (rwl-sch-context-pr-out? sch-context) :found nil)) (t (if found? ;; yes :found ;; no res)))))))) ;;; report-rwl-result ;;; (defun report-rwl-result (res) (case res (:max-depth ;; (format t "~&-- reached to the max depth.") ) (:no-more ;; (format t "~&-- no more solutions.") ) (otherwise nil)) res) ;;; RWL-CONTINUE ;;; (defun rwl-continue (num-tok) (multiple-value-bind (num sym) (nat*-to-max-option num-tok) (declare (ignore sym)) (report-rwl-result (rwl-continue* num)))) (defun rwl-continue+ (num) (report-rwl-result (rwl-continue* num))) (defun rwl-continue* (num) (declare (type fixnum num)) (unless (and .rwl-sch-context. (or (null *current-module*) (eq *current-module* (rwl-sch-context-module .rwl-sch-context.)))) (with-output-chaos-error ('invalid-context) (format t "invalid context..."))) ;; (with-in-module ((rwl-sch-context-module .rwl-sch-context.)) (setf (rwl-sch-context-max-sol .rwl-sch-context.) num) (setf (rwl-sch-context-sol-found .rwl-sch-context.) 0) (setf (rwl-sch-context-max-depth .rwl-sch-context.) most-positive-fixnum) ;; ;; do continue search ;; (let ((sch-context .rwl-sch-context.) (res nil) (found? nil)) (loop (setq res (rwl-step-forward-1 sch-context)) (case res ((:max-transitions :max-solutions :no-more) (return nil)) ; exit loop (:found (setq found? t)) (otherwise nil)) ;; one step deeper (incf (rwl-sch-context-cur-depth sch-context))) ; end loop (if found? :found res)))) ;;; RWL-SEARCH ;;; (defun rwl-search (&key term pattern (max-result most-positive-fixnum) (max-depth most-positive-fixnum) (zero? nil) (final? nil) (cond nil) (pred nil) (bind nil) ;; the followings are experimental (if nil)) (let ((module (get-context-module)) max-r max-d) (if (integerp max-result) (setq max-r max-result) (if (term-is-builtin-constant? max-result) (setq max-r (term-builtin-value max-result)) (setq max-r most-positive-fixnum))) (if (integerp max-depth) (setq max-d max-depth) (if (term-is-builtin-constant? max-depth) (setq max-d (term-builtin-value max-depth)) (setq max-d most-positive-fixnum))) (when (and if (not (term-is-variable? if))) (with-output-chaos-warning () (format t "The `if' part is not a varible of sort BOOL, `if' binding is ignored : ") (print-next) (term-print if) (setq if nil))) ;; *** ;; (clear-term-memo-table *term-memo-table*) ;; *** (when *cexec-normalize* (let ((*rewrite-exec-mode* nil) (*clean-memo-in-normalize* nil)) (rewrite* term))) ;; (when *cexec-debug* (format t "~%* CEXEC: ") (term-print-with-sort term)) ;; (let ((*clean-memo-in-normalize* nil)) (report-rwl-result (rwl-search* term pattern max-r max-d zero? final? cond pred module bind if))))) ;;; rwl-check-one-step-reachability : term term -> { t | nil } ;;; working hourse of => ;;; (defun rwl-check-one-step-reachability (X Y) (declare (type term X Y)) (let ((*clean-memo-in-normalize* nil) (*chaos-quiet* t)) (report-rwl-result (rwl-search* X Y 1 1 t nil nil nil *current-module* nil nil)))) ;;; rwl-sch-set-result ;;; (defun rwl-sch-set-result (raw-res) (let ((res nil)) (if (eq raw-res :found) (setq res t) (setq res nil)) (setq $$cexec-term (coerce-to-bool res)))) ;;; rwl-cont ;;; (defun rwl-cont (ast) (rwl-continue+ (%continue-num ast))) ;;; for downward compatibility ;;; (defun nat*-to-max-option (term &optional (infinite most-positive-fixnum)) (if (term-is-builtin-constant? term) (values (term-builtin-value term) "") (values infinite (car (method-symbol (term-head term)))))) (defun term-pattern-included-in-cexec (t1 t2 max-depth &optional cond) (multiple-value-bind (max sym) (nat*-to-max-option max-depth) (let ((final? nil) (zero? nil)) (case-equal sym ("!" (setq final? t)) ("*" (setq zero? t)) (otherwise nil)) (clear-term-memo-table *term-memo-table*) (rwl-search* t1 t2 1 max zero? final? cond nil *current-module*)))) ;;; EOF cafeobj-1.5.4/thstuff/eval-apply.lisp0000644000000000000000000004506712605345045016256 0ustar rootroot;;;-*- Mode:LISP; Package:CHAOS; Base:10; Syntax:Common-lisp -*- ;;; ;;; Copyright (c) 2000-2015, Toshimi Sawada. All rights reserved. ;;; ;;; Redistribution and use in source and binary forms, with or without ;;; modification, are permitted provided that the following conditions ;;; are met: ;;; ;;; * Redistributions of source code must retain the above copyright ;;; notice, this list of conditions and the following disclaimer. ;;; ;;; * Redistributions in binary form must reproduce the above ;;; copyright notice, this list of conditions and the following ;;; disclaimer in the documentation and/or other materials ;;; provided with the distribution. ;;; ;;; THIS SOFTWARE IS PROVIDED BY THE AUTHOR 'AS IS' AND ANY EXPRESSED ;;; OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED ;;; WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ;;; ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY ;;; DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL ;;; DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE ;;; GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS ;;; INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, ;;; WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING ;;; NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS ;;; SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. ;;; (in-package :chaos) #|============================================================================== System: CHAOS Module: thstuff File: eval-apply.lisp ==============================================================================|# #-:chaos-debug (declaim (optimize (speed 3) (safety 0) #-GCL (debug 0))) #+:chaos-debug (declaim (optimize (speed 1) (safety 3) #-GCL (debug 3))) ;;; ***** ;;; START ;;; ***** (defun eval-start-command (ast) (do-eval-start-th (%start-target ast) (get-context-module))) (defun do-eval-start-th (pre-term &optional context) (catch 'apply-context-error (let ((mod (if context (eval-modexp context) (get-context-module)))) (if (or (null mod) (modexp-is-error mod)) (if (null mod) (with-output-chaos-error ('invalid-module) (princ "no module expression provided and no current module.")) (with-output-chaos-error ('invalid-module) (format t "incorrect module expression: ~a" context))) (if pre-term (with-in-module (mod) (prepare-for-parsing *current-module*) (cond ((or (equal pre-term '("$$term")) (equal pre-term '("$$subterm"))) (let ((target nil)) (catch 'term-context-error (setq target (get-bound-value (car pre-term)))) (unless target (return-from do-eval-start-th nil)) (setq $$action-stack nil) (reset-reduced-flag target) (reset-target-term target *current-module* mod))) (t (let ((*parse-variables* nil)) (let ((res (simple-parse *current-module* pre-term *cosmos*))) (when (term-is-an-error res) (return-from do-eval-start-th nil)) (setq $$action-stack nil) (reset-target-term res *current-module* mod)))))) ;; try use $$term (progn (when (or (null $$term) (eq 'void $$term)) (with-output-chaos-warning () (format t "no target term is given!") (return-from do-eval-start-th nil))) (check-apply-context mod) (setq $$action-stack nil) (reset-reduced-flag $$term) (reset-target-term $$term (get-context-module) mod)))) (when (command-final) (command-display)) t))) ;;; ****** ;;; CHOOSE ;;; ****** (defun eval-choose-command (ast) (unless $$subterm (setq $$subterm $$term)) (unless $$subterm (with-output-chaos-warning () (format t "no target term is specified yet.") (print-next) (princ "please set the target term by `start' command.") (return-from eval-choose-command nil))) (let ((selectors (%choose-selectors ast))) (when (eq selectors ':top) (setq $$subterm $$term) (setq $$selection-stack nil) (return-from eval-choose-command nil)) (with-in-module ((get-context-module)) (multiple-value-bind (subterm-sort subterm) (compute-selection $$subterm selectors) (declare (ignore subterm-sort)) (push selectors $$selection-stack) (setq $$subterm subterm))))) ;;; ************* ;;; INSPECT-TERM ;;; ************* (defun eval-inspect-term-command (&optional ast) (declare (ignore ast)) (unless $$subterm (setq $$subterm $$term)) (unless $$subterm (with-output-chaos-warning () (format t "no target term is specified yet.") (print-next) (princ "please set the target term by `choose' command.") (return-from eval-inspect-term-command nil))) (inspect-term $$subterm)) ;;; ***** ;;; APPLY ;;; ***** (defvar *-applied-* nil) (defvar *-inside-apply-all-* nil) ;;; top-level evaluator (defun eval-apply-command (ast) (let ((action (%apply-action ast)) (rule-spec (%apply-rule-spec ast)) (substitution (%apply-substitution ast)) (where-spec (%apply-where-spec ast)) (selectors (%apply-selectors ast))) (catch 'apply-context-error (when (eq action :help) (apply-help) (return-from eval-apply-command nil)) ;; check some evaluation env (when (or (null $$term) (eq 'void $$term)) (with-output-chaos-error ('invalid-term) (princ "term to be applied is not defined."))) ;; real work begins here ------------------------------ (with-in-module ((get-context-module)) (multiple-value-bind (subterm-sort subterm) (compute-selection $$term selectors) (setq *-applied-* t) (case action (:reduce ; full reduction on selections. (!setup-reduction *current-module*) (let ((*rewrite-semantic-reduce* (module-has-behavioural-axioms *current-module*)) (*rewrite-exec-mode* nil)) (term-replace subterm (@copy-term subterm)) (reset-reduced-flag subterm) (rewrite subterm *current-module*))) (:breduce (!setup-reduction *current-module*) (let ((*rewrite-semantic-reduce* nil) (*rewrite-exec-mode* nil)) (term-replace subterm (@copy-term subterm)) (reset-reduced-flag subterm) (rewrite subterm *current-module*))) (:exec (!setup-reduction *current-module*) (let ((*rewrite-semantic-reduce* (module-has-behavioural-axioms *current-module*)) (*rewrite-exec-mode* t)) (term-replace subterm (@copy-term subterm)) (reset-reduced-flag subterm) (rewrite subterm *current-module*))) ;; (:print ; print selections. (format t "~%term ") (disp-term subterm) (format t "~&tree form") (print-term-tree subterm)) (:apply ; apply specified rule. (setq *-applied-* nil) (let* ((actrule (compute-action-rule rule-spec substitution selectors)) (*-inside-apply-with-extensions-* (and (let ((arlhs (rule-lhs actrule))) (and (term-is-application-form? arlhs) (method-is-associative (term-head arlhs))))))) (if (eq :within where-spec) (let ((*-inside-apply-all-* t)) (catch 'apply-all-quit (@apply-all actrule subterm-sort subterm))) (@apply-rule actrule subterm-sort subterm))) (when *-applied-* (update-lowest-parse $$term) (when (nth 2 rule-spec) ; reverse order (setq $$term (@copy-term $$term))) (reset-target-term $$term *current-module* *current-module*))) ; end :apply (t (with-output-panic-message () (format t "unknown apply action : ~a" action) (chaos-error 'unknown-action)))) ;; (unless *-applied-* (with-output-chaos-warning () (princ "rule not applied"))) ;; (command-final) (command-display)))))) (defvar *copy-conditions*) (declaim (special *copy-conditons*)) (defvar *apply-debug* nil) (defun @apply-one-rule (rule sort term) (when *apply-debug* (princ "* @apply-one-rule : rule = ") (print-chaos-object rule) (format t "~%- sort = ") (print-sort-name sort) (format t "~&- term = ") (term-print term)) (let ((*self* term)) (let ((cond (rule-condition rule))) (if (or *reduce-conditions* (is-true? cond)) (let ((lhs (rule-lhs rule))) (if (term-is-variable? lhs) (multiple-value-bind (gs sub no eeq) (@matcher lhs (@copy-term term) :match) ; why? (declare (ignore gs)) (when eeq (setq sub nil)) (unless (or no (and (not (is-true? cond)) (not (is-true? (!normalize-term (@copy-term (substitution-image! sub cond))))))) (setq *-applied-* t) (term-replace-dd-simple term (@copy-term (substitution-image! sub (rule-rhs rule)))))) (let ((*copy-conditions* t)) (let ((res (apply-one-rule-no-simplify rule term))) (when res (term-replace-dd-simple term (@copy-term term)) (setq *-applied-* t)) ))) term) ;; "recurse" on condition (let ((lhs (rule-lhs rule)) (rhs (rule-rhs rule))) (multiple-value-bind (gs sub no eeq) (@matcher lhs (@copy-term term) :match) (declare (ignore gs)) (when eeq (setq sub nil)) (unless no (setq *-applied-* t) (format t "~%shifting focus to condition") (force-output) (let ((cond-inst (@copy-term (substitution-image! sub cond))) (rhs-inst (@copy-term (substitution-image! sub rhs)))) (setq $$action-stack (cons (list $$term term rule cond-inst rhs-inst sort) $$action-stack)) (setq $$term cond-inst) (when *-inside-apply-all-* (format t "~%-- applying rule only at first position found: ") (term-print term) (force-output) (throw 'apply-all-quit nil)))))))))) ;;; APPLY-ONE-RULE-NO-SIMPLIFY (rule term) ;;; (defun apply-one-rule-no-simplify (rule term) (when *apply-debug* (with-output-simple-msg () (princ "[apply]: rule = ") (print-chaos-object rule) (print-next) (princ " term = ") (print-chaos-object term))) (block the-end (let ((condition nil) next-match-method ;; (*do-unify* t) (*self* term)) (multiple-value-bind (global-state subst nomatch Eequal) (funcall (rule-first-match-method rule) (rule-lhs rule) term) (when nomatch (return-from the-end nil)) (when *apply-debug* (format t "~%[apply-one-rule] : ") (format t "~% subst = ") (print-substitution subst) (format t "~% Eequal = ~a" eequal)) ;; technical assignation related to substitution$image (when Eequal (setq subst nil)) ;; the condition must be checked (block try-rule (catch 'rule-failure (when (is-true? (setq condition (rule-condition rule))) ;; there is no condition (term-replace-dd-simple term (if (rule-is-builtin rule) (multiple-value-bind (newterm success) (funcall (lisp-form-function (rule-rhs rule)) subst) (if success newterm (return-from try-rule nil))) ;; note that the computation of the substitution ;; made a copy of the rhs. (substitution-image! subst (rule-rhs rule)))) (return-from the-end t)))) ;; if the condition is not trivial, we enter in a loop ;; where one try to find a match such that the condition ;; is satisfied (setf next-match-method (rule-next-match-method rule)) (loop (when nomatch (return)) ; exit from loop (block try-rule (catch 'rule-failure (when (is-true? (let (($$cond (substitution-image ;; want to avoid recopying the whole (if *copy-conditions* (mapcar #'(lambda (x) (cons (car x) (@copy-term (cdr x)))) subst) subst) condition))) (!normalize-term $$cond))) ;; the condition is satisfied (term-replace-dd-simple term (if (rule-is-builtin rule) (multiple-value-bind (newterm success) (funcall (lisp-form-function (rule-rhs rule)) subst) (if success newterm (return-from try-rule nil))) (substitution-image! subst (rule-rhs rule)))) (return-from the-end t))) ) ; block try-rule ;; else, try another ... (multiple-value-setq (global-state subst nomatch) (funcall next-match-method global-state)) ) ; end loop ;; In this case there is no match at all and the rule does not apply (return-from the-end nil))))) (defun @apply-rule (rule sort term) (if (and *-inside-apply-with-extensions-* (term-is-application-form? term) (method-is-of-same-operator (term-head (rule-lhs rule)) (term-head term))) (@apply-rule-with-extensions rule sort term) (@apply-one-rule rule sort term))) (defun @apply-rule-with-extensions (rule sort term) (let ((top (term-head (rule-lhs rule)))) (if (method-is-associative top) (let ((is-applied nil) (is-AC (method-is-commutative top))) (when (@test-rule rule term) (@apply-one-rule rule sort term) (setq is-applied *-applied-*)) (unless is-applied (dolist (r (if is-AC (compute-AC-extension rule top) (compute-A-extensions rule top))) (when (and r (@test-rule r term)) (@apply-one-rule r sort term) (setq is-applied *-applied-*) (return))))) ;; only hit this case if top of rule lhs wasn't associative (@apply-one-rule rule sort term))) nil) ;;; ;;; @apply-all ;;; (defun @apply-all (rule sort term) (if (term-is-variable? term) (when (@test-rule rule term) (@apply-rule rule sort term)) (if (@test-rule rule term) (@apply-rule rule sort term) (if (term-is-application-form? term) (mapc #'(lambda (s x) (@apply-all rule s x)) (method-arity (term-head term)) (term-subterms term))))) nil) ;;; ;;; apply-print-rule ;;; (defun apply-print-rule (x) (unless x (format t "~%That dosen't make sense as a rule specification.") (return-from apply-print-rule t)) (let* ((act (get-apply-action x)) (rule-spec (if (eq act :apply) (parse-rule-spec x)))) ;; (if (eq :reduce act) (format t "~%special rule for reduction of a selected subterm.") (if (eq :print act) (format t "~%special rule to print-the selected subterm.") (progn (when (or (eq :error rule-spec) (null rule-spec)) (format t "~%That doesn't make sense as a rule specification.") (return-from apply-print-rule t)) (let ((num (cadr rule-spec)) (mod (car rule-spec)) (rev (caddr rule-spec))) (format t "~&rule ~a" num) (when rev (format t " (reversed)")) (if (equal "" mod) (format t " of the last module") (format t " of module ~a" mod)) (multiple-value-bind (rule module) (compute-action-rule rule-spec nil) (with-in-module (module) (format t "~& ") (print-chaos-object rule) (when (and rev (or (rule-is-builtin rule) (eq (axiom-type rule) :rule))) (format t "~%This rule cannot be applied reversed.")) (when (and (get-context-module t) (not (rule-is-builtin rule))) (format t "~%(This rule rewrites up.)")))))))) t)) ;;; EOF cafeobj-1.5.4/thstuff/eval-match.lisp0000644000000000000000000002463712605345045016225 0ustar rootroot;;;-*- Mode:LISP; Package:CHAOS; Base:10; Syntax:Common-lisp -*- ;;; ;;; Copyright (c) 2000-2015, Toshimi Sawada. All rights reserved. ;;; ;;; Redistribution and use in source and binary forms, with or without ;;; modification, are permitted provided that the following conditions ;;; are met: ;;; ;;; * Redistributions of source code must retain the above copyright ;;; notice, this list of conditions and the following disclaimer. ;;; ;;; * Redistributions in binary form must reproduce the above ;;; copyright notice, this list of conditions and the following ;;; disclaimer in the documentation and/or other materials ;;; provided with the distribution. ;;; ;;; THIS SOFTWARE IS PROVIDED BY THE AUTHOR 'AS IS' AND ANY EXPRESSED ;;; OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED ;;; WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ;;; ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY ;;; DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL ;;; DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE ;;; GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS ;;; INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, ;;; WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING ;;; NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS ;;; SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. ;;; (in-package :chaos) #|============================================================================== System: CHAOS Module: thstuff File: eval-match.lisp ==============================================================================|# #-:chaos-debug (declaim (optimize (speed 3) (safety 0) #-GCL (debug 0))) #+:chaos-debug (declaim (optimize (speed 1) (safety 3) #-GCL (debug 3))) ;;; DESCRIPTION ---------------------------------------------------------------- ;;; evaluators of match, find commands. ;;; *NOTE* `find ' is just the alias of `match it to ' . ;;; ;;; ****** ;;; MATCH ;;; ****** (defun eval-match-command (ast) (let ((type (%match-type ast)) (target (case (%match-target ast) (:top $$term) (:subterm $$subterm) (:it (if $$subterm $$subterm $$term)) (t (let* ((*parse-variables* nil) (parsed (with-in-module ((get-context-module)) (simple-parse *current-module* (%match-target ast) *cosmos*)))) (if (sort<= (term-sort parsed) *syntax-err-sort* *chaos-sort-order*) nil parsed)))))) ;; (when (or (null target) (eq target 'void)) (if (symbolp (%match-target ast)) (with-output-chaos-warning () (princ "no target term is specified, please `start' or `choose'."))) (return-from eval-match-command nil)) ;; (if (symbolp (%match-pattern ast)) (find-rewrite-rules target (%match-pattern ast) type) (perform-match target (%match-pattern ast) type)))) (defun find-rewrite-rules (target what &optional (type :match)) (if *find-all-rules* (find-rewrite-rules-all target what type) (find-rewrite-rules-top target what type))) (defun find-rewrite-rules-top (target what &optional (type :match)) (let* ((real-target (supply-psuedo-variables target)) (patterns (find-matching-rules what real-target (get-context-module) type))) (unless patterns (with-in-module ((get-context-module)) (format t "~%no rules found for term : ") (term-print target)) (return-from find-rewrite-rules-top nil)) ;; report the result (format t "~%== matching rules to term : ") (with-in-module ((get-context-module)) (let ((*fancy-print* nil)) (term-print target)) (dolist (pat patterns) (let ((num (found-pattern-rule-num pat)) (direction (found-pattern-direction pat)) (rule (found-pattern-rule pat)) (subst (found-pattern-subst pat)) (extra (found-pattern-extra pat))) (print-next) (if (eq direction :-rule) (princ "-") (princ "+")) (print-mod-name *current-module*) (if (rule-labels rule) (format t ".{ ~D " num) (format t ".~D" num)) (dolist (label (rule-labels rule)) (print-check) (princ "| ") (princ (string label))) (when (rule-labels rule) (princ " }")) (princ " is ") (print-axiom-brief rule *standard-output* nil t) (format t "~% substitution : ") (let ((*print-indent* (+ *print-indent* 4))) (print-substitution subst)) (when extra (format t "~% extra variables : ") (format t "~{~a~^ ~}" (mapcar #'(lambda (x) (string (variable-name x))) extra)))))))) (defun find-rewrite-rules-all (target what &optional (type :match)) (let* ((real-target (supply-psuedo-variables target)) (patterns (find-matching-rules-all what real-target (get-context-module) type))) (unless patterns (with-in-module ((get-context-module)) (format t "~%no rules found for term : ") (term-print target)) (return-from find-rewrite-rules-all nil)) ;; report the result (format t "~%== matching rules to term : ") (with-in-module ((get-context-module)) (let ((*fancy-print* nil)) (term-print target)) (dolist (pat patterns) (let ((num (found-pattern-rule-num pat)) (direction (found-pattern-direction pat)) (rule (found-pattern-rule pat)) (subst (found-pattern-subst pat)) (extra (found-pattern-extra pat)) (pos (found-pattern-occur pat))) (print-next) (princ "* at posotion:") (format t "(~{~d~^ ~}), " pos) (let ((*print-indent* (+ 2 *print-indent*))) ;; (if (eq direction :-rule) (princ "-") (princ "+")) (print-mod-name *current-module*) (if (rule-labels rule) (format t ".{ ~D " num) (format t ".~D" num)) (dolist (label (rule-labels rule)) (print-check) (princ "| ") (princ (string label))) (when (rule-labels rule) (princ " }")) ;; (princ " is") (print-next) (print-axiom-brief rule *standard-output* nil t) (format t "~& substitution : ") (let ((*print-indent* (+ *print-indent* 4))) (print-substitution subst)) (when extra (format t "~& extra variables : ") (format t "~{~a~^ ~}" (mapcar #'(lambda (x) (string (variable-name x))) extra))))))))) ;;; moved to 'meta.lisp' ;;; (defvar *use-choose-match* nil) (defun perform-match (target pre-pattern &optional (type :match)) (let ((real-target (if (eq type :match) (supply-psuedo-variables target) target))) (let ((first-match-meth (if (eq type :match) (if *use-choose-match* nil '@matcher) 'first-unify)) (next-match-meth (if (eq type :match) (if *use-choose-match* nil 'next-match) 'next-unify))) (with-in-module ((get-context-module)) (let* ((*parse-variables* (mapcar #'(lambda (x) (cons (variable-name x) x)) (term-variables target))) (pattern (simple-parse *current-module* pre-pattern *cosmos*))) (when (sort<= (term-sort pattern) *syntax-err-sort* *chaos-sort-order*) (return-from perform-match nil)) ;; (when (and *use-choose-match* (eq type :match)) (let ((meth (choose-match-method real-target *bool-true* nil))) (setf first-match-meth (car meth)) (setf next-match-meth (cdr meth)))) ;; ---- first match (multiple-value-bind (global-state subst no-match e-equal) (funcall first-match-meth pattern real-target) (when no-match (if (eq type :match) (format t "~%-- no match") (format t "~%-- no unify")) (return-from perform-match nil)) (if (eq type :match) (format t "~%-- match success.") (format t "~%-- unify success.")) (when e-equal (format t "~%-- given terms are equational equal.") (return-from perform-match nil)) (format t "~% substitution : ") (let ((*print-indent* (+ *print-indent* 4))) (print-substitution subst)) ;; ---- next matches (block end (multiple-value-setq (global-state subst no-match) (funcall next-match-meth global-state)) (while (not no-match) (cond ((y-or-n-p-wait #\y 20 ">> More? [y/n] : ") (if (eq type :match) (format t "~%-- match success : ") (format t "~%-- unify success : ")) (let ((*print-indent* (+ 4 *print-indent*))) (format t "~% * substitution : ") (print-substitution subst)) (print-next)) (t (return-from end))) (multiple-value-setq (global-state subst no-match) (funcall next-match-meth global-state))) (if (eq type :match) (format t "~%-- No more match") (format t "~%-- No more unify"))))))))) ;;; EOF cafeobj-1.5.4/thstuff/parse-apply.lisp0000644000000000000000000006155012605345045016434 0ustar rootroot;;;-*- Mode:LISP; Package:CHAOS; Base:10; Syntax:Common-lisp -*- ;;; ;;; Copyright (c) 2000-2015, Toshimi Sawada. All rights reserved. ;;; ;;; Redistribution and use in source and binary forms, with or without ;;; modification, are permitted provided that the following conditions ;;; are met: ;;; ;;; * Redistributions of source code must retain the above copyright ;;; notice, this list of conditions and the following disclaimer. ;;; ;;; * Redistributions in binary form must reproduce the above ;;; copyright notice, this list of conditions and the following ;;; disclaimer in the documentation and/or other materials ;;; provided with the distribution. ;;; ;;; THIS SOFTWARE IS PROVIDED BY THE AUTHOR 'AS IS' AND ANY EXPRESSED ;;; OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED ;;; WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ;;; ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY ;;; DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL ;;; DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE ;;; GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS ;;; INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, ;;; WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING ;;; NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS ;;; SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. ;;; (in-package :chaos) #|============================================================================== System: CHAOS Module: thstuff File: parse-apply.lisp ==============================================================================|# #-:chaos-debug (declaim (optimize (speed 3) (safety 0) #-GCL (debug 0))) #+:chaos-debug (declaim (optimize (speed 1) (safety 3) #-GCL (debug 3))) ;;; === APPLY COMMAND FAMILY PARSERS ;;; ---------------------------------------------------------------------- ;;; ***** ;;; START ;;; ***** ;;; - Syntax ----------------------------------------------------------------- ;;; ::= start . ;;; -------------------------------------------------------------------------- ;;; Chaos form (defterm start (%script) :visible (target) ; target term :eval eval-start-command ) ;;; parser (defun parse-start-command (e) (%start* (cadr e))) ;;; ************ ;;; APPLY FAMILY ;;; ************ ;;; apply command of Chaos is the subset(but not a restriction) of OBJ(ver2.0) + ;;; some extensions. ;;;----------------------------------------------------------------------------- ;;; (1) don't have . no problem, we have operator with error sorts as ;;; their rank. ;;; (2) allow rule labels with digit chars at its head. ;;; only labels consisting of all digit chars are considered as rule ;;; numbers. ;;; (3) explicit forward direction specifier `+' allowing module with `-' ;;; at head of their names and vise versa. ;;; aboves are not so important. ;;; (4) break down features of `apply' into more elementary ones. ;;; `apply' of OBJ seems trying "do everything at once", or "to be a ;;; powerful tool applicable to almost everything" like swiss army ;;; knife. must agree(shouldn't we?), but this makes its syntax rather ;;; heavy and prevents us from doing some simple tasks in a handy manner. ;;; Chaos supports full apply command of OBJ (without of course) ;;; in itself, and also provides some new command "do a simple thing at one ;;; time", whose produced informations can be used in the later use of ;;; apply command. ;;; also have some extensions to OBJ's apply. ;;; hopefully, these would be useful for those who uses Chaos system ;;; interactively. ;;; ;;; === NEW COMMANDS & EXTENSIONS to APPLY of OBJ ========================= ;;; *NOTE* ---------------------------------------------------------------- ;;; like `apply', some new commands assume a term which is the result of ;;; `start' or `parse' (even of `reduce') commands. we refer this term as ;;; "$$term" in the sequel. a specific subterm of $$term may be also ;;; refered and/or set by some commands; this subterm will be denoted by ;;; "$$subterm". initially, that is, just after `start', `parse', or ;;; `reduce', $$subterm is identical to $$term(the whole). ;;; ----------------------------------------------------------------------- ;;; (4-1) subterm selection : ;;; [a] choose command ;;; - SYNTAX -------------------------------------------------------- ;;; ::= choose ;;; ----------------------------------------------------------------- ;;; this selects a subterm specified by . ;;; is just the same to `apply' command. here is its ;;; summary (selector "subterm" is added, see `* NOTE (1)' below): ;;; ::= { top | term | subterm } | ;;; { of }* ;;; ::= | ;;; | ;;; ::= "(" + ")" ;;; ::= "[" .. "]" | "[" "]" ;;; ::= "{" [, ]* "}" ;;; - BEHAVIOUR ----------------------------------------------------- ;;; the meaning of is the same as OBJ. ;;; the target term of `choose' is $$subterm(see *NOTE* above), and ;;; it will be reset to the selected subterm. thus, succeeding ;;; applications of choose command selects a "subterm of subterm of ;;; ... subterm of $$subterm". ;;; one can archive the same effect at onece by a form ;;; like " of of ...", but the former way ;;; is useful for selecting a subterm of a complex(large) term ;;; incrementaly being with some checks that a subterm is correctly ;;; selected at some steps of choices. ;;; if sole "top" or "term" is given as , original whole ;;; term ($$term) is selected as subterm and is set to $$subterm. ;;; this is a handy way to cancell of preceding selections. but ;;; of cource, if one `applied' some rules to selected subterm, $$term ;;; would be changed, and then the $$term can be quite different from ;;; its original. ;;; ----------------------------------------------------------------- ;;; * NOTE: (1) for combined use of `choose' and `apply', the ;;; of apply command is extended. it now accepts ;;; "subterm" as a which refers to a subterm ;;; selected by the last `choose' command. ;;; (2) once some rewrite rule is successfully applied ;;; to somewhere in $$term, $$subterm is reset to $$term. ;;; ;;; [b] show command extension. ;;; - SYNTAX ------------------------------------------------------- ;;; ::= show subterm [ tree ] ;;; ---------------------------------------------------------------- ;;; we extended `show' command so that it can print out the subterm ;;; chosen by the last `choose' command ($$term will be printed if ;;; there has been any selected proper subterm). ;;; this can be used for cirtifying the subterm selected by choose ;;; command. if optional "tree" is given, also prints out $$subterm ;;; in a tree form. ;;; *NOTE* ordinal "show term" will pirnt out $$term. for tree form ;;; print of $$term, "show tree" (specific to Chaos) can be ;;; used. also prepared "show term tree" though. ;;; (4-2) listing out applicable rewrite rules. ;;; [a] find command ;;; - SYNTAX ------------------------------------------------------- ;;; ::= find { rule | +rule | -rule } ;;; ---------------------------------------------------------------- ;;; - BEHAVIOUR ---------------------------------------------------- ;;; print-outs all axioms which can be successfully applied ;;; to $$subterm. the direction as a rewrite rule is specified by ;;; the argument "rule", "+rule" or "-rule". ;;; given "rule", `find' searches through the set of all axioms ;;; of the current context(current module) including imported axioms ;;; of submodules and system generated ones for associative and/or ;;; commutative operators, and selects ones whose left OR right hand ;;; side matches to $$subterm. "+rule" try matches only to left-hand ;;; side of the axioms (forward direction), and "-rule" is used for ;;; specifying backward direction. ;;; ---------------------------------------------------------------- ;;; printing form is arranged to be giving useful informations for ;;; later `apply' commands. each printed axioms has the form ;;; ------------------------------------------------------ ;;; () {}+ : LHS {-->|<--} RHS [SUBST-INFO] ;;; ------------------------------------------------------ ;;; where is a natural number assigned by find command and ;;; can be directly used as rule specifier of our extended apply ;;; command (see (4-3) below for the extension.) ;;; is just the same to rule specifier of OBJ's apply ;;; command, which is in a form of . or .. ;;; find always prints former form and if an axioms has a label, ;;; it will also be printed. of course these also can be used for ;;; rule specifier of apply command. following a separate mark `:' ;;; axiom itself is printed. between left and right hand side side, ;;; --> or <-- sign is printed showing the direction as a rewrite ;;; rule. an axiom can have match on its both side to $$subterm ;;; (this can happen as giving "rule"), the same axiom is printed 2 ;;; times with different , (backward direction has ;;; preceding "-") and direction sign between LHS and RHS. optional ;;; SUBST-INFO is printed when the RHS(LHS) has extra variable than ;;; LHS(RHS) in the case of forward(backward) direction. ;;; SUBST-INFO has the form ;;; ------------------------------------------------------------- ;;; with = : {, = ;;; : }* ;;; ------------------------------------------------------------- ;;; where, is the variable name occur in the axiom, ;;; is an identifier generated by `find' command, and ;;; is a name of a sort of the variable. this provides ;;; a template for for apply command. one can substitute ;;; `:' with appopreate term and can give it to ;;; an argument to `apply'. ;;; (4-3) extensions to `apply' command: ;;; [a] rule specifier of apply command ;;; - Syntax ----------------------------------------------------- ;;; apply [] { at | within } . ;;; -------------------------------------------------------------- ;;; apply now accepts simple natural number as a rule specifier ;;; which refers the number assigned by preceding `find'command to ;;; a rewrite rule (see (4-2) above). ;;; [b] new option -- "subterm" ;;; as noted in (4-1)[a] above, apply accepts "subterm" as a subterm ;;; selector. ;;; [c] can omit ;;; can omit even if there exists some extra variables. ;;; in this case, system generates pusude variables (constant terms) ;;; on the fly, and uses them instead of extra variables. ;;; in a similar manner, one can `start' with a term with some ;;; variables in it. also, in this case, system generates constant ;;; terms and supply them istead. this is almost the same with ;;; `open'ing a module and declare some constants and uses them. ;;; ;;; (4-4) some support commands: ;;; [a] showing apply context ;;; separating out the functions of apply command requires us to keep ;;; some context(selected subterms, applicable rules) in mind. ;;; the following extension to `show' can be used for this purpose. ;;; - Syntax -------------------------------------------------------- ;;; ::= show apply context ;;; ----------------------------------------------------------------- ;;; print-outs informations useful for using apply command in a form ;;; like this: ;;; ------------------------------------------------------- ;;; current module : name of current module. ;;; term : whole target term ($$term). ;;; subterm : subterm selected by `choose' command, ;;; also prints . ;;; rules : set of rules found by `find' command. ;;; ------------------------------------------------------- ;;; ;;; *LIMITATION* : we don't have `abbriviated' module names for complex ;;; module expressions. thus we are restricted to perform ;;; `apply' only in modules with simple name. ;;; seems to need something like `abbrev' of OBJ. ;;; * some extensions planned * ;;; (1) `step' option: ;;; must do apply process in interactive manner. ;;; (2) `stop' option: ;;; stop reduction process when we meet the `pattern' specified. ;;; might need some interactive process, `continue',`done'or .. ? ;;; *NOTE on Semantics of * ;;; the semantics of rule specifier(rule identifier or rule number) of ;;; in OBJ is only loosely defined. at least for me, careful reading ;;; of throughout OBJ manual doesn't give me an enough infos to implement this ;;; feature. ;;; the aim of specifier is of course to select one specific rule to be applied, ;;; but there exists some ambiguities here. ;;; the follwing is the problem summarized and its treatment of current ;;; Chaos implementation. ;;; (1) searching context: ;;; *(1-1) semantics of is loose. ;;; how about rules imported from sub-modules? limits to the ;;; OWN rules of or including ones of submodules? ;;; my understanding is that says "search in all rewrite rules ;;; in including imported ones" limiting the search space ;;; to a subset of current module. this seems reasonable, so Chaos follows ;;; this line. (*note* the real implementation of OBJ is more complex one ;;; reflecting the value of a global flag set by users with `set' command, ;;; but this can make the behaviour of apply command magical one. we want ;;; to make things more simple). ;;; *(1-2) what is the rule number? ;;; what does "2.MOD" mean? this says `the second' rule of module `MOD', ;;; but which is the `second'? ;;; *(1-3) system generated rules. ;;; should we consider rules generated by the system, eg. some rules for ;;; associative/commutative operators? from the user side, full control ;;; of reduction needs these rules to be choosed. but generated rules has ;;; no rule identifier, thus user must select them by `number'. ;;; (2) multiple rules with the same identifier: ;;; there is no syntactical limitation on rule identifiers, they can be ;;; overloaded, and there is no automatic selection machanisms for choosing ;;; one among them. Chaos asks user to select one ;;; ;;; APPLY FAMILY --------------------------------------------------------------- ;;; forms and parsers ;;; ---------------------------------------------------------------------------- ;;; ****** ;;; CHOOSE ;;; ****** (defterm choose (%script) :visible (selectors) ; one of :top, :subterm or list of ; selectors. :eval eval-choose-command) ;;; ************ ;;; INSPECT-TERM ;;; ************ (defterm inspect-term (%script) :visible () :eval eval-inspect-term-command) ;;; get-selectors : selector-token-seq -> { symbol | list(token)} ;;; ;;; ::= subterm | term | top | { of }* ;;; ::= | | } ;;; ::= "(" + ")" ;;; ::= "[" .. "]" | "[" "]" ;;; ::= "{" [, ]* "}" ;;; (defun get-selectors (selector-toks) (case-equal (car selector-toks) (("top" "term") :top) ("subterm" :subterm) (("(" "{" "[") ;; *NOTE* discard the first token ;; because of stupid behaviour of our token reader. (cdr selector-toks)) (t (with-output-chaos-error ('invalid-selector) (format t "unknown type of selectors ~a" selector-toks) )))) (defun parse-choose-command (tok) (%choose* (get-selectors (cadr tok)))) ;;; ***** ;;; MATCH ;;; ***** ;;; - Syntax ------------------------------------------------------------------- ;;; ::= match to . ;;; ::= { it | term | top | subterm | } ;;; ::= { rule | +rule | -rule | } ;;;----------------------------------------------------------------------------- (defterm match (%script) :visible (type ; or :match, :unify, :xmatch target ; or :it pre-term pattern ; or :rule, +rule, -rule, pre-term ) :eval eval-match-command) (defun parse-match-command (toks) (let (type target pattern) ;; (setq type (if (equal "match" (car toks)) :match (if (equal "xmatch" (car toks)) :xmatch :unify))) (setq toks (cdr toks)) ; arguments ;; get target (loop (when (or (null toks) (or (equal "to" (car toks)) (equal "with" (car toks)))) (return)) (push (car toks) target) (setq toks (cdr toks))) (setq target (car (nreverse target))) ;; get pattern (setq pattern (cadr toks)) ;; make ast (%match* type (case-equal target ((("top") ("term")) :top) ((("subterm")) :subterm) ((("it")) :it) (t target)) (case-equal pattern ((("rule") ("rules")) :rule) ((("+rule") ("+rules")) :+rule) ((("-rule") ("-rules")) :-rule) (t pattern))))) ;;; **** ;;; FIND ;;; **** ;;;- Syntax -------------------------------------------------------------------- ;;; ::= find ;;; ::= { rule | +rule | -rule } ;;;----------------------------------------------------------------------------- ;;; *NOTE* just the alias of "match it to . " ;;; (defun parse-find-command (toks) (%match* :match :it (case-equal (cadr toks) (("rule" "rules") :rule) (("+rule" "+rules") :+rule) (("-rule" "+rules") :-rule) (t (with-output-chaos-error ('invalid-rule-spec) (princ "only `rule', `+rule', or `-rule' is meaningful for find,") (print-next) (format t "but ~a is given." (cadr toks))))))) ;;; ***** ;;; APPLY ;;; ***** ;;; - Syntax -------------------------------------------------------------------- ;;; ::= apply . ;;; ::= {red | reduction | print | ? | ;;; []} ;;; ::= | [ + | - ] [].{ | } ;;; ::= with = {, = }* ;;; ::= { at | within } ;;; ::= subterm | term | top | { of }* ;;; ::= | | } ;;; ::= "(" + ")" ;;; ::= "[" { .. | } "]" ;;; ::= "{" [, ]* "}" ;;; ;;; *note* the syntax of of OBJ is defined as ;;; ::= { of }* ;;; ::= { term | top } | | | ;;; ;;; this seemes to be strange for me. ;;; how about "top of top of top" or "top of { 1, 3 } of top of [ 1 .. 2 ]"? ;;; these are meaningful, but unneccessarily complex. ;;;----------------------------------------------------------------------------- (defterm apply (%script) :visible (action ; action to be performed, one-of ; :apply, :reduce, :print, :help. rule-spec ; rule specifier to be applied. substitution ; list of variable bindings. where-spec ; one of :at, :within. selectors) ; list of selectors. :eval eval-apply-command) ;;; get-apply-action : -> action keyword ;;; ;;; ::= { red | reduction | print | help | []} ;;; * "help" & are specially treated elsewhere. ;;; (defun get-apply-action (tok) ;; tok ::= { red | reduction | reduce | print | } (case-equal tok (("red" "reduction" "reduce") :reduce) (("bred" "breduce" "behavioural-reduction") :breduce) (("execute" "exec") :exec) ("print" :print) (t :apply))) ;;; NOTE: rules labels cannot contain . ;;; parse-rule-spec : -> (Module Rule Direction) ;;; ;;; ::= | [ - | + ][].{ | } ;;; ::= [ - | + ][.]{ | } ;;; #|| (defun parse-rule-spec (tok) (declare (type string tok)) (if (every #'digit-char-p tok) (let ((val (parse-integer tok))) (unless (> val 0) (with-output-chaos-error ('invalid-rule-number) (princ "rule index must be greater than 0.") )) val) (let* ((fwd (eql #\+ (char tok 0))) (rev (eql #\- (char tok 0))) (i (if (or rev fwd) 1 0)) (dot-pos (position-if #'(lambda (x) (char= #\. x)) tok))) (if dot-pos (list (subseq tok i dot-pos) (subseq tok (1+ dot-pos)) rev) (list "" (subseq tok i) rev))))) ||# (defun parse-rule-spec (tok) (declare (type string tok)) (let* ((fwd (eql #\+ (char tok 0))) (rev (eql #\- (char tok 0))) (i (if (or rev fwd) 1 0)) (dot-pos (position-if #'(lambda (x) (char= #\. x)) tok))) (if dot-pos (list (subseq tok i dot-pos) (subseq tok (1+ dot-pos)) rev) (list "" (subseq tok i) rev)))) ;;; get-apply-where : -> where keyword ;;; ::= { at | within } ;;; (defun get-apply-where (where) (if (equal where "at") :at (if (equal where "within") :within (with-output-chaos-error ('invalid-apply-place) (format t " must be either \"at\" or \"within\", but ~a is specified" where))))) ;;; parse-apply-command ;;; parse whole form (defun parse-apply-command (e) (when (equal '(("?")) (cdr e)) (return-from parse-apply-command (%apply* :help nil nil nil nil))) (let* ((ee (cadr e)) ; eliminate "apply" and the last "." (act (nth 0 ee))) (let* ((action (get-apply-action act)) (rule-spec (if (eq action :apply) (parse-rule-spec act)))) (let* ((no-subst (stringp (nth 1 ee))) ; "at" "within" -- no substitution. (substtoks (if no-subst nil (nth 1 ee))) ; we don't syntactic check here. (where-spec (get-apply-where (nth (if no-subst 1 2) ee))) (selectors (get-selectors (car (subseq ee (if no-subst 2 3)))))) (%apply* action rule-spec substtoks where-spec selectors))))) ;;; EOF cafeobj-1.5.4/thstuff/apply-tactic.lisp0000644000000000000000000034477412610670557016612 0ustar rootroot;;;-*-Mode:LISP; Package: CHAOS; Base:10; Syntax:Common-lisp -*- ;;; ;;; Copyright (c) 2000-2014, Toshimi Sawada. All rights reserved. ;;; ;;; Redistribution and use in source and binary forms, with or without ;;; modification, are permitted provided that the following conditions ;;; are met: ;;; ;;; * Redistributions of source code must retain the above copyright ;;; notice, this list of conditions and the following disclaimer. ;;; ;;; * Redistributions in binary form must reproduce the above ;;; copyright notice, this list of conditions and the following ;;; disclaimer in the documentation and/or other materials ;;; provided with the distribution. ;;; ;;; THIS SOFTWARE IS PROVIDED BY THE AUTHOR 'AS IS' AND ANY EXPRESSED ;;; OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED ;;; WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ;;; ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY ;;; DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL ;;; DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE ;;; GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS ;;; INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, ;;; WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING ;;; NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS ;;; SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. ;;; (in-package :chaos) #|============================================================================= System:CHAOS Module:thstuff File:apply-tactic.lisp =============================================================================|# #-:chaos-debug (declaim (optimize (speed 3) (safety 0) #-GCL (debug 0))) #+:chaos-debug (declaim (optimize (speed 1) (safety 3) #-GCL (debug 3))) ;;; **************************************************************************** ;;; UTILITIES ;;; **************************************************************************** ;;; distribute-sentences : ptree-node List(axiom) -> List(goal) ;;; if there are multiple sentences, distribute them into newly genereted goals for each ;;; (defun distribute-sentences (parent axioms tactic) (declare (type ptree-node parent)) (let ((new-goals nil) (goal nil)) (cond ((cdr axioms) (dolist (ax axioms) (setq goal (prepare-next-goal parent tactic)) (setf (goal-targets goal) (list ax)) (push goal new-goals))) (t (push (ptree-node-goal parent) new-goals))) (nreverse new-goals))) ;;; rule-copy-cononicalized : rule module -> rule ;;; copy rule with all variables are renewed and noralized. ;;; (defun rule-copy-canonicalized (rule module &optional label) (with-in-module (module) (let* ((new-rule (rule-copy rule)) (canon (canonicalize-variables (list (rule-lhs new-rule) (rule-rhs new-rule) (rule-condition new-rule)) module))) (setf (rule-lhs new-rule) (first canon) (rule-rhs new-rule) (second canon) (rule-condition new-rule) (third canon)) (when label (setf (rule-labels new-rule) (append (rule-labels rule) (list label)))) new-rule))) ;;; apply-substitution-to-axiom : subst axiom [label] [add] -> axiom' ;;; (defun apply-substitution-to-axiom (subst axiom &optional label add) (setf (rule-lhs axiom) (substitution-image-simplifying subst (rule-lhs axiom)) (rule-rhs axiom) (substitution-image-simplifying subst (rule-rhs axiom)) (rule-condition axiom) (if (is-true? (rule-condition axiom)) *bool-true* (substitution-image-simplifying subst (rule-condition axiom)))) (when label (if add (setf (rule-labels axiom) (append (if (atom label) (list label) label) (rule-labels axiom))) (setf (rule-labels axiom) label))) axiom) ;;; copy-constant-term ;;; (defun copy-constant-term (constant) (make-applform-simple (term-sort constant) (term-head constant) nil)) ;;; select-comb-elems : List(List) -> List ;;; (defun select-combs-aux (max-idx list-of-list) (declare (type fixnum max-idx) (type list list-of-list)) (let* ((result nil) (target (car list-of-list)) (rest (cdr list-of-list)) (len (length target))) (declare (type fixnum len) (type list result target rest)) (if target (let ((idx 0)) (declare (type fixnum idx)) (while (< idx max-idx) (let ((elt (nth (mod idx len) target)) (rr (select-combs-aux max-idx rest))) (if rr (dolist (r rr) (pushnew (cons elt r) result :test #'equal)) (pushnew (list elt) result :test #'equal)) (incf idx))) (nreverse result)) nil))) (defun select-combs-aux-indexed (max-idx list-of-list index) (declare (type fixnum max-idx index) (type list list-of-list)) (let* ((result nil) (target (car list-of-list)) (rest (cdr list-of-list)) (len (length target))) (declare (type fixnum len) (type list result target rest)) (if target (let ((idx 0)) (declare (type fixnum idx)) (while (< idx max-idx) (let ((elt (nth (mod idx len) target)) (rr (select-combs-aux-indexed max-idx rest (1+ index)))) (if rr (dolist (r rr) (pushnew (cons (cons index elt) r) result :test #'equal)) (pushnew (list (cons index elt)) result :test #'equal)) (incf idx))) (nreverse result)) nil))) (defun select-comb-elems (list-of-list &optional (indexed nil)) (declare (type list list-of-list)) (unless list-of-list (return-from select-comb-elems nil)) (let ((max-idx (apply #'max (mapcar #'(lambda (x) (length x)) list-of-list)))) (declare (type fixnum max-idx)) (if indexed (select-combs-aux-indexed max-idx list-of-list 0) (select-combs-aux max-idx list-of-list)))) ;;; axiom-variables : axiom -> List(variable) ;;; returns a list of variables contained in the given axiom ;;; (defun axiom-variables (ax) (let ((lhs (axiom-lhs ax)) (rhs (axiom-rhs ax)) (cond (axiom-condition ax)) (result nil)) (declare (type list result)) (setq result (append (term-variables lhs) (append (term-variables rhs) (term-variables cond)))) (delete-duplicates result :test #'variable-equal))) ;;; normalize-term-in : module term -> term Bool ;;; reduces the ground terms in given term by rewriting. ;;; if rewritten, returned term is distructively changed. ;;; (defun normalize-term-in (module term &optional (reduction-mode :red)) (let ((applied? nil) (targets nil) (rule-count-save (number-rewritings))) (if (term-variables term) (setq targets (get-gterms term)) (setq targets (list term))) (if targets (progn (dolist (gt targets) (block next (when (term-is-reduced? gt) (return-from next nil)) (reducer-no-stat gt module reduction-mode) (unless (= rule-count-save (number-rewritings)) (setq applied? t)))) (values term applied?)) (values term nil)))) ;;; normalize-sentence : axiom module -> axiom' Bool ;;; normalize an axiom by reduction, returns the result. ;;; NOTE: given axiom is preserved (not changed). ;;; (defun normalize-sentence (ax module) (if-spoiler-on ;; normalize sentence only if :spoiler is on :then (let ((target (rule-copy-canonicalized ax module))) (with-in-module (module) (let ((lhs (rule-lhs target)) (rhs (rule-rhs target)) (condition (rule-condition target)) (reduction-mode (if (eq (rule-type ax) :equation) :red :exec)) (applied nil) (app? nil)) (flet ((set-applied (val) (or app? (setq app? val)))) (with-citp-debug () (with-in-module (module) (format t "~%[NF] target:") (print-next) (print-axiom-brief target))) ;; normalize lhs (multiple-value-setq (lhs applied) (normalize-term-in module (reset-reduced-flag lhs) :red)) (set-applied applied) (when (eq reduction-mode :exec) (multiple-value-setq (lhs applied) (normalize-term-in module (reset-reduced-flag lhs) :exec)) (set-applied applied)) ;; normalize rhs (multiple-value-setq (rhs applied) (normalize-term-in module (reset-reduced-flag rhs))) (set-applied applied) ;; normalize condition (unless (is-true? condition) (multiple-value-setq (condition applied) (normalize-term-in module (reset-reduced-flag condition) :red)) (set-applied applied)) (setf (rule-lhs target) lhs) (setf (rule-rhs target) rhs) (setf (rule-condition target) condition) ;; (with-citp-debug () (if (not app?) (format t "~% ...not applied: ") (progn (print-next) (princ "==> ") (print-axiom-brief target)))) ;; (return-from normalize-sentence (values target app?)))))) ;; do nothing if :spoiler is off :else (values ax nil))) ;;; is-contradiction : term term -> Bool ;;; returns true if true ~ false, or false ~ true ;;; #| (defun is-contradiction (t1 t2) (or (and (is-true? t1) (is-false? t2)) (and (is-false? t1) (is-true? t2)))) |# (defun is-contradiction (t1 t2) (declare (ignore t1 t2)) nil) ;;; sentence-is-satisfied : axiom module -> { :satisfied | :ct | nil } ;;; (defun sentence-is-satisfied (sentence module) (let ((old-condition (rule-condition sentence))) (multiple-value-bind (norm-sen app?) (normalize-sentence sentence module) (declare (ignore app?)) (let ((lhs (rule-lhs norm-sen)) (rhs (rule-rhs norm-sen)) (condition (rule-condition norm-sen)) (result nil)) (with-citp-debug () (format t "~%[satisfied?]: ") (print-axiom-brief norm-sen)) (cond ((and (not (is-true? old-condition)) (is-true? condition)) (if (is-contradiction lhs rhs) (setq result :ct) (setq result :st))) ((is-true? condition) ; originally the axiom was non-conditional (if (is-contradiction lhs rhs) (setq result :ct) (let ((x-lhs (normalize-term-in module (reset-reduced-flag lhs))) (x-rhs (normalize-term-in module (reset-reduced-flag rhs)))) (when (term-equational-equal x-lhs x-rhs) (setq result :st))))) (t (setq result nil))) (with-citp-debug () (format t "~% --> ~a: " result) (print-next) (print-axiom-brief norm-sen)) (values result norm-sen))))) ;;; check-contradiction : goal -> Bool ;;; check if ;;; * 'true => false' or ;;; * 'false => true' or ;;; * (t = t) = false (defun check-true<=>false (module &optional (report-header nil)) (with-in-module (module) (let ((t-rules (method-rules-with-different-top *bool-true-meth*)) (f-rules (method-rules-with-different-top *bool-false-meth*)) (ct-rule nil)) (dolist (rule (append t-rules f-rules)) (with-citp-debug () (format t "~%check true<=> false") (print-next) (print-axiom-brief rule)) (when (or (is-true? (rule-condition rule)) (is-true? (normalize-term-in module (reset-reduced-flag (term-copy-and-returns-list-variables (rule-condition rule)))))) (unless (term-equational-equal (rule-lhs rule) (rule-rhs rule)) (setq ct-rule rule) (with-citp-debug () (format t "~% CT found!")) (return nil)))) (when (and ct-rule report-header) (format t "~%[~a] contradiction: " report-header) (let ((*print-indent* (+ 2 *print-indent*))) (print-next) (print-axiom-brief ct-rule))) ct-rule))) (defun check-contradictory-assumptions (goal &optional (report-header nil)) (let ((ams (goal-assumptions goal)) (contra? nil)) (with-in-module ((goal-context goal)) (dolist (ax ams) (when (and (is-false? (rule-rhs ax)) (term-is-similar? (rule-lhs ax) (rule-rhs ax))) (when report-header (format t "~%[~a] contradictory assumption: " report-header) (print-next) (print-axiom-brief ax)) (setf contra? t))) contra?))) (defun check-contradiction (goal &optional (report-header nil)) (let ((module (goal-context goal))) (or (check-true<=>false module report-header) (check-contradictory-assumptions goal report-header) (with-in-module (module) (let ((true-term (make-applform-simple *bool-sort* *bool-true-meth* nil)) (false-term (make-applform-simple *bool-sort* *bool-false-meth* nil))) (let ((true=false (make-applform-simple *bool-sort* *eql-op* (list true-term false-term)))) (multiple-value-bind (t-result t-applied?) (normalize-term-in module true=false) (when (and t-applied? (is-true? t-result)) (when report-header (format t "~%[~a] contradiction: " report-header) (print-next) (format t " `true = false' can be derived!")) (return-from check-contradiction t)))))) nil))) ;;; check-le : goal -> goal' ;;; (defun check-le (goal) (let ((mod (goal-context goal))) (with-in-module (mod) (let ((axs (module-equations mod)) (ls-pats nil) (le-pats nil)) (dolist (ax axs) (block next (unless (is-true? (rule-condition ax)) (return-from next)) (when (axiom-variables ax) (return-from next)) (let ((lhs (rule-lhs ax))) (multiple-value-bind (match? subst) (@pat-match .ls-pat. lhs) (declare (ignore subst)) (cond (match? (push (cons (term-arg-1 lhs) (term-arg-2 lhs)) ls-pats)) (t (multiple-value-setq (match? subst) (@pat-match .le-pat. lhs)) (when match? (push (cons (term-arg-1 lhs) (term-arg-2 lhs)) le-pats)))))))) (let ((ls-r nil) (le-r nil)) (dolist (ls ls-pats) (let ((ls-pair (find (cdr ls) ls-pats :key #'car :test #'term-equational-equal)) (le-pair (find (cdr ls) le-pats :key #'car :test #'term-equational-equal))) ;; G1 < G2 < G3 (when ls-pair (push (cons (car ls) (cdr ls-pair)) ls-r)) ; < check G3 < G1 ;; G1 < G2 <= G3 (when le-pair (push (cons (car ls) (cdr le-pair)) le-r)))) ; <= check G3 <= G1 (dolist (le le-pats) (let ((ls-pair (find (cdr le) ls-pats :key #'car :test #'term-equational-equal)) (le-pair (find (cdr le) le-pats :key #'car :test #'term-equational-equal))) ;; G1 <= G2 < G3 (when ls-pair (push (cons (car le) (cdr ls-pair)) le-r)) ; check G3 <= G1 (when le-pair (push (cons (car le) (cdr le-pair)) ls-r)))) ; check G3 < G1 ;; (with-citp-debug () (format t "~%[le] check in goal ~s: " (goal-name goal)) (dolist (ls ls-r) (print-next) (term-print (cdr ls)) (princ " < ") (term-print (car ls))) (dolist (le le-r) (print-next) (term-print (cdr le)) (princ " <= ") (term-print (car le)))) (flet ((do-check (pat op) (dolist (ls pat) (let ((rg (make-applform-simple *bool-sort* op (list (cdr ls) (car ls))))) (with-citp-debug () (format t "~% target term : ") (term-print-with-sort rg)) (when (is-true? (normalize-term-in *current-module* rg)) ;; discharge the goal (let ((target (rule-copy-canonicalized (car (goal-targets goal)) *current-module*))) (setf (rule-labels target) (cons 'le (rule-labels target))) (setf (goal-targets goal) nil) (setf (goal-proved goal) (list target)) (format t "~%[le] discharged the goal ~s" (goal-name goal))) (return nil)))))) (do-check ls-r (term-head .ls-pat.)) (do-check le-r (term-head .le-pat.)))))))) ;;; make-new-assumption : module lhs rhs -> new-lhs new-rhs axiom-type ;;; (defun boolean-constant? (term) (or (is-true? term)(is-false? term))) (defun simplify-boolean-axiom (lhs rhs) (let ((r-lhs lhs) (r-rhs rhs) (type :equation)) (with-citp-debug () (format t "~%== simplify: ") (format t "~% lhs = ")(term-print-with-sort lhs) (format t "~% rhs = ")(term-print-with-sort rhs)) (cond ((method= *eql-op* (term-method lhs)) (with-citp-debug () (format t "~%** case _=_")) ;; (T1 = T2) = true/false ==> T1 = T2 (let* ((arg1 (term-arg-1 lhs)) (arg2 (term-arg-2 lhs)) (arg1-is-bconstant (boolean-constant? arg1)) (arg2-is-bconstant (boolean-constant? arg2))) (cond ((is-true? rhs) (with-citp-debug () (format t "~%-- (T1 = T2) = true")) ;; (T1 = T2) = true (cond ((method= (term-head arg1) (term-head arg2)) ;; (T1 = T1) = true : dangerous tautology (with-citp-debug () (format t "~%-- (T = T) = true, tautology.")) (let ((*chaos-quiet* nil)) (with-output-chaos-warning () (format t "Found the new assumption is tautology:") (print-next) (format t "LHS: ") (term-print-with-sort arg1) (print-next) (format t "RHS: ") (term-print-with-sort arg2) (format t "~%... ignored."))) (setf r-lhs nil r-rhs nil)) ((and arg1-is-bconstant arg2-is-bconstant) (with-citp-debug () (format t "~%-- (true = false) = true, (false = true) = true.")) ;; (true = false), (false = true) = true . ;; contradiction (setf r-lhs arg1 r-rhs arg2) (let ((*print-indent* (+ 2 *print-indent*))) (let ((*chaos-quiet* nil)) (with-output-chaos-warning () (format t "Caution!, you are introducing contradiction:") (print-next) (format t "LHS: ") (term-print-with-sort r-lhs) (print-next) (format t "RHS: ") (term-print-with-sort r-rhs))))) (t ;; (T1 = T2) = true --> T1 = T2 (with-citp-debug () (format t "~% trying to simplify..")) (setf r-lhs (if arg1-is-bconstant arg2 arg1)) (setf r-rhs (if arg1-is-bconstant arg1 arg2))))) ((is-false? rhs) ;; (T1 = T2) = false (with-citp-debug () (format t "~%-- (T1 = T2) = false")) (cond ((method= (term-head arg1) (term-head arg2)) ;; (T = T) = false ;; contradiction (with-citp-debug () (format t "~% (T = T) = false, contradiction!")) (let ((*print-indent* (+ 2 *print-indent*)) (*chaos-quiet* nil)) (with-output-chaos-warning () (format t "Caution! you are introducing contradiction:") (print-next) (format t "LHS: ") (term-print-with-sort lhs) (print-next) (format t "RHS: ") (term-print-with-sort rhs)))) ((and arg1-is-bconstant arg2-is-bconstant) ;; (true = false) = false, (false = true) = false (with-citp-debug () (format t "~%(true = false) = false, (false = true) = false")) (let ((*print-indent* (+ 2 *print-indent*)) (*chaos-quiet* nil)) (with-output-chaos-warning () (format t "Redundant assumption: ") (print-next) (format t "LHS: ") (term-print-with-sort lhs) (print-next) (format t "RHS: ") (term-print-with-sort rhs)) (format t "~%... ignored.")) (setf r-lhs nil r-rhs nil)) (t ;; (with-citp-debug () (format t "-- trying to simplify..")) (if (is-true? arg1) (setf r-lhs arg2 r-rhs *bool-false*) (if (is-true? arg2) (setf r-lhs arg1 r-rhs *bool-false*) (if (is-false? arg1) (setf r-lhs arg2 r-rhs *bool-true*) (if (is-false? arg2) (setf r-lhs arg1 r-rhs *bool-true*) (setf r-lhs lhs r-rhs rhs))))))))))) ((method= *bool-match* (term-method lhs)) ;; (T1 := T2) = true ==> T2 = T1 (setf r-lhs (term-arg-2 lhs) r-rhs (term-arg-1 lhs))) ((method= *rwl-predicate* (term-method lhs)) ;; (T1 => T2) = true ==> T1 => T2 (setf r-lhs (term-arg-1 lhs) r-rhs (term-arg-2 lhs)) (setq type :rule))) (with-citp-debug () (when r-lhs (format t "~%=> ") (format t "~%LHS: ")(term-print-with-sort r-lhs) (format t "~%RHS: ")(term-print-with-sort r-rhs) (format t "~%type: ~a" type))) (if r-lhs (values r-lhs r-rhs type) (values nil nil nil)))) (defun make-new-assumption (module lhs &optional (label-prefix nil)) (with-in-module (module) (let ((r-lhs lhs) (r-rhs *bool-true*) (type :equation)) (when (method= *eql-op* (term-method lhs)) ;; (T1 = T2) = true ==> T1 = T2 (setf r-lhs (term-arg-1 lhs) r-rhs (term-arg-2 lhs))) (when (method= *bool-match* (term-method lhs)) ;; (T1 := T2) = true ==> T2 = T1 (setf r-lhs (term-arg-2 lhs) r-rhs (term-arg-1 lhs))) (when (method= *rwl-predicate* (term-method lhs)) ;; (T1 => T2) = true ==> T1 => T2 (setf r-lhs (term-arg-1 lhs) r-rhs (term-arg-2 lhs)) (setq type :rule)) (compile-module module) (let ((axiom (make-rule :lhs (normalize-term-in module (reset-reduced-flag r-lhs)) :rhs (normalize-term-in module (reset-reduced-flag r-rhs)) :condition *bool-true* :type type :behavioural nil :labels (if label-prefix (list label-prefix) nil)))) ;; check tautology (when (term-equational-equal r-lhs r-rhs) (return-from make-new-assumption nil)) (with-citp-debug () (format t "~%** new assumption: ") (print-axiom-brief axiom)) axiom)))) ;;; condition->axioms : module term -> List(axiom) ;;; (defun condition->axioms (module condition &optional (rule-label nil)) (with-in-module (module) (let ((axs nil) (cps nil)) (if (method= *bool-cond-op* (term-head condition)) (let ((subs (list-assoc-subterms condition *bool-cond-op*))) (dolist (sub subs) (push (term-copy-and-returns-list-variables sub) cps))) (setq cps (list (term-copy-and-returns-list-variables condition)))) (dolist (c cps) (let ((new-ax (make-new-assumption module c rule-label))) (when new-ax (compute-rule-method new-ax) (pushnew new-ax axs :test #'rule-is-similar?)))) (with-citp-debug () (format t "~%[~a] generated axioms:" rule-label) (dolist (ax axs) (print-next) (print-axiom-brief ax))) axs))) (defun axiom-is-an-instance-of (ax cx module) (with-in-module (module) (with-citp-debug () (print-next) (format t "* ax: ") (print-axiom-brief ax) (print-next) (format t "* cx: ") (print-axiom-brief cx)) (multiple-value-bind (gs subst no-match E-equal) (funcall (rule-first-match-method cx) (rule-lhs cx) (rule-lhs ax)) (when no-match (return-from axiom-is-an-instance-of nil)) (when e-equal (setq subst nil)) (let ((pat-instance (substitution-image-simplifying subst (rule-rhs cx))) (t-instance (rule-rhs ax)) (next-match-method nil)) (with-citp-debug () (format t "~%* matched: ") (print-substitution subst) (print-next) (format t "pat: ") (term-print-with-sort pat-instance) (print-next) (format t "rhs: ") (term-print-with-sort t-instance)) (when (term-equational-equal t-instance pat-instance) (return-from axiom-is-an-instance-of t)) ;; try other match (setq next-match-method (rule-next-match-method cx)) (loop (multiple-value-setq (gs subst no-match) (funcall next-match-method gs)) (when no-match (return-from axiom-is-an-instance-of nil)) (setq pat-instance (substitution-image-simplifying subst (rule-rhs cx))) (when (term-equational-equal t-instance pat-instance) (return-from axiom-is-an-instance-of t)))) nil))) (defun check-ct-with-axioms (goal axioms &optional report-header) (declare (type goal goal) (type list axioms)) (with-in-module ((goal-context goal)) (let ((tf-rules (append (method-rules-with-different-top *bool-true-meth*) (method-rules-with-different-top *bool-false-meth*)))) ;; first do light weight check (dolist (rule tf-rules) (when (is-true? (rule-condition rule)) ;; already CT (when report-header (format t "~%[~a] found contradiction: " report-header) (print-axiom-brief rule)) (return-from check-ct-with-axioms :ct))) (dolist (rule tf-rules) (let ((cond-axioms (condition->axioms *current-module* (rule-condition rule)))) (let ((remaining cond-axioms)) (do* ((cax (car remaining) (car remaining)) (axs axioms (cdr axs)) (ax (car axs) (car axs))) ((or (null cax) (null axs))) (when (axiom-is-an-instance-of ax cax *current-module*) (setq remaining (remove cax remaining)))) (unless remaining (when report-header (format t "~%[~a] found contradiction: " report-header) (print-axiom-brief rule)) (return-from check-ct-with-axioms :ct))))) nil))) ;;; check-sentence&mark-label : sentence module -> ( ) ;;; (defun check-sentence&mark-label (sentence goal &optional (report-header nil)) (flet ((make-st-label () (let ((lbl (or report-header 'st))) (cons lbl (rule-labels sentence)))) (make-ct-label () (let ((lbl (if report-header (intern (format nil "CT-~A" report-header)) 'ct))) (cons lbl (rule-labels sentence)))) (make-ic-label () (let ((lbl (if report-header (intern (format nil "IC-~A" report-header)) 'ic))) (cons lbl (rule-labels sentence))))) ;; (let ((module (goal-context goal))) (with-in-module (module) (let ((target sentence) (res nil) (*print-indent* (+ 2 *print-indent*)) (*print-line-limit* 80) (*print-xmode* :fancy)) (if (check-contradiction goal report-header) (setq res :ct) (multiple-value-setq (res target) (sentence-is-satisfied sentence module))) (when res ;; discharged by certain reson (setq sentence (rule-copy-canonicalized sentence *current-module*))) (with-in-module (module) ;; check how did we did dischage (case res (:st (when report-header (format t "~%[~a] discharged: " report-header) (print-next) (print-axiom-brief sentence)) (setf (rule-labels sentence) (make-st-label)) (values :st target sentence)) (:ct (when report-header (format t "~%[~a] discharged: " report-header) (print-next) (print-axiom-brief sentence)) (setf (rule-labels sentence) (make-ct-label)) (values :ct target sentence)) (:ic (when report-header (format t "~%[~a] discharged: " report-header) (print-next) (print-axiom-brief sentence)) (setf (rule-labels sentence) (make-ic-label)) (values :ic target sentence)) ;; could not discharge (otherwise (values nil target sentence))))))))) ;;; set-operator-rewrite-rule : module axiom -> void ;;; (defun set-operator-rewrite-rule (module axiom) (when (term-is-applform? (rule-lhs axiom)) (add-rule-to-method axiom (term-head (rule-lhs axiom)) (module-opinfo-table module)))) ;;; add-assumptions-to-goal : goal assumptions -> void ;;; (defun add-assumptions-to-goal (goal assumptions) (let ((module (goal-context goal))) (with-in-module (module) (dolist (ax assumptions) (adjoin-axiom-to-module module ax) (set-operator-rewrite-rule module ax)) (compile-module module t)))) ;;; check-goal-is-satisfied : goal -> ( ) ;;; (defun check-goal-is-satisfied (goal &optional (report-header nil)) (when (cdr (goal-targets goal)) (with-output-chaos-error ('invalid-proof-seq) (format t "Internal error. more than one target!"))) (if-spoiler-on :then (let ((target (car (goal-targets goal)))) (multiple-value-bind (discharged normalized-target original-target) (do-check-sentence target goal report-header) (when discharged (setf (goal-targets goal) nil (goal-proved goal) (list original-target))) (values discharged normalized-target original-target))) :else (values nil nil (car (goal-targets goal))))) (defun do-check-sentence (target goal &optional report-header) (let ((mod (goal-context goal))) (multiple-value-bind (result norm-target marked-target) (check-sentence&mark-label target goal report-header) (cond (result ;; goal has been dischared already by some reason ) ((and (is-true? (rule-condition target)) (eq (rule-type target) :equation)) (setf target (rule-copy-canonicalized target mod)) (setf (rule-lhs target) (make-applform-simple *bool-sort* *eql-op* ; _=_ (list (rule-lhs target) (rule-rhs target))) (rule-rhs target) *bool-true*) (multiple-value-bind (res-2 norm-target-2 marked-target-2) (check-sentence&mark-label target goal report-header) (declare (ignore norm-target-2 marked-target-2)) (when res-2 (setf result res-2)))) (t ;; nothing to do )) (values result norm-target marked-target)))) ;;; try-prove-with-axioms : module List(axiom) axiom : -> { :satisfied | :ct | nil } ;;; (defparameter .trial-context-module. (%module-decl* "trial-dummy" :object :user nil)) (defun try-prove-with-axioms (goal axioms target &optional (report-header nil)) (let ((module (goal-context goal))) (with-citp-env () (let ((tmodule (eval-ast .trial-context-module.))) (import-module tmodule :including module) (with-in-module (tmodule) (dolist (ax axioms) (adjoin-axiom-to-module tmodule ax) (set-operator-rewrite-rule tmodule ax)) (compile-module tmodule t) ;; first we check contradiction (if (check-contradiction goal report-header) :ct ;; the module is consistent, try (sentence-is-satisfied target tmodule))))))) ;;; already-proved? : ;;; (defun already-proved? (node-or-goal &optional (warn t)) (declare (type (or ptree-node goal) node-or-goal)) (let ((goal (if (ptree-node-p node-or-goal) (ptree-node-goal node-or-goal) node-or-goal))) (unless (goal-is-discharged goal) (return-from already-proved? nil)) (when warn (with-output-chaos-warning () (format t "** The goal ~s has already been proved!." (goal-name goal)))) t)) ;;; **************************************************************************** ;;; Tactic executors ;;; **************************************************************************** ;;; =========== ;;; TACTIC: NIL ;;; do nothing, but distribute multiple targets into each new goal. ;;; =========== (defun apply-nil (node) (declare (ignore node)) (with-output-chaos-warning () (format t "~%Tactic [NIL] does nothing.")) (values nil nil)) (defun apply-nil-internal (node sentences &optional (all-together nil) (tactic .tactic-nil.)) (declare (type ptree-node node) (type list sentences)) (let ((goals nil)) (cond (all-together (let ((ngoal (prepare-next-goal node tactic))) (setf (goal-targets ngoal) sentences) (push ngoal goals))) (t (dolist (sentence sentences) (let ((ngoal (prepare-next-goal node tactic))) (setf (goal-targets ngoal) (list sentence)) (push ngoal goals))))) (values goals (nreverse goals)))) ;;; ======================= ;;; TACTIC: IMPLICATION[IP] ;;; ======================= (defun generate-ip-derived-axioms (module axiom) (condition->axioms module (axiom-condition axiom) 'ip)) (defun apply-ip (ptree-node &rest ignore) (declare (type ptree-node ptree-node) (ignore ignore)) (with-in-context (ptree-node) (let ((original-goal (ptree-node-goal ptree-node))) (flet ((push-next-goal (goal) (unless (eq goal original-goal) (push goal .next-goals.)))) (let ((target-goals (distribute-sentences ptree-node .cur-targets. .tactic-ip.))) (dolist (.cur-goal. target-goals) (let ((target (normalize-sentence (car (goal-targets .cur-goal.)) (goal-context .cur-goal.)))) (cond ((and (not (is-true? (rule-condition target))) (null (term-variables (rule-condition target)))) ;; t = t' if C ;; C is a ground term and is not true. ;; try if (SP + { C } |- t = t') or not.. ;; if this is satisfied, discharge it. (let ((ngoal (if (eq .cur-goal. original-goal) (prepare-next-goal ptree-node .tactic-ip.) .cur-goal.))) (with-in-module ((goal-context ngoal)) (let ((new-axs (generate-ip-derived-axioms *current-module* target)) (next-target (rule-copy-canonicalized target *current-module*))) ;; make the target (setf (rule-condition next-target) *bool-true*) (setf (goal-targets ngoal) (list next-target)) ;; add [ip] axioms (dolist (ax new-axs) (adjoin-axiom-to-module *current-module* ax) (set-operator-rewrite-rule *current-module* ax)) (setf (goal-assumptions ngoal) (append (goal-assumptions ngoal) (reverse new-axs))) ;; compile (compile-module *current-module* t) (push-next-goal ngoal))))) (t ;; nothing to do (push-next-goal .cur-goal.))))) ;; done for all goals (setq .next-goals. (nreverse .next-goals.)) (dolist (ngoal .next-goals.) (multiple-value-bind (discharged norm-sentence org-sentence) (check-goal-is-satisfied ngoal 'ip) (declare (ignore norm-sentence org-sentence)) (when discharged (format t "~%[ip] discharged the goal ~s" (goal-name ngoal))))) ;; (values .next-goals. (nreverse .next-goals.))))))) ;;; ================================= ;;; TACTIC: Theorem of Constants [TC] ;;; ================================= (defun make-tc-variable-substitutions (goal vars) (declare (type goal goal) (type list vars)) (let ((subst nil)) (dolist (var vars) (push (cons var (variable->constant goal var)) subst)) (with-citp-debug () (format t "~%[tc] variable substitution:") (print-next) (print-substitution subst)) subst)) (defun apply-tc (ptree-node &rest ignore) (declare (type ptree-node ptree-node) (ignore ignore)) (with-in-context (ptree-node) (let ((original-goal .cur-goal.)) (flet ((push-next-goal (goal) (unless (eq goal original-goal) (push goal .next-goals.)))) (let ((target-goals (distribute-sentences ptree-node .cur-targets. .tactic-tc.))) (dolist (cgoal target-goals) ;; variables --> constants (let ((sentence (car (goal-targets cgoal)))) (cond ((axiom-variables sentence) (when (eq cgoal original-goal) (setq cgoal (prepare-next-goal ptree-node .tactic-tc.))) (push-next-goal cgoal) (with-in-module ((goal-context cgoal)) (let* ((next-target (rule-copy-canonicalized sentence *current-module*)) (vars (axiom-variables next-target)) (subst (make-tc-variable-substitutions cgoal vars))) (apply-substitution-to-axiom subst next-target '(tc) t) (compute-rule-method next-target) (compile-module *current-module* t) (setf (goal-targets cgoal) (list (normalize-sentence next-target *current-module*)))))) (t ;; the sentence does not contain any variables. (push-next-goal cgoal))))) (setq .next-goals. (nreverse .next-goals.)) ;; check goal is satisfied or not (dolist (cgoal .next-goals.) (multiple-value-bind (res sentence osentence) (check-goal-is-satisfied cgoal 'tc) (declare (ignore osentence sentence)) (when res (format t "~%[tc] discharged the goal ~s" (goal-name cgoal))))) (values .next-goals. .next-goals.)))))) ;;; =================================== ;;; TACTIC: Simultaneous Induction [SI] ;;; =================================== ;;; set-indvars : ptree-node List(variable) -> List(variable) ;;; handler of ':ind on' command ;;; (defun set-indvars (ptree-node variables) (declare (type ptree-node ptree-node)) (let* ((cur-goal (ptree-node-goal ptree-node)) (cur-targets (goal-targets cur-goal)) (ind-vars nil)) (dolist (cur-target cur-targets) (let ((target-variables (axiom-variables cur-target))) (dolist (v variables) (let ((tv (find-if #'(lambda (x) (and (eq (variable-name v) (variable-name x)) (eq (variable-sort v) (variable-sort x)))) target-variables))) (if tv (pushnew v ind-vars :test #'equal :key #'(lambda (x) (variable-name x))) (with-output-chaos-error ('no-such-variable) (format t "Setting induction variable, no such variable ~a:~a in target axiom." (variable-name v) (variable-sort v)))))))) (setf (goal-indvars cur-goal) (nreverse ind-vars)) (format t "~%**> Induction will be conducted on ") (dolist (var (goal-indvars cur-goal)) (term-print-with-sort var) (princ " ")) ind-vars)) ;;; set-induction-variables ;;; top level function. (defun set-induction-variables (variables) (declare (type list variables)) (let ((node (car (get-unproved-nodes *proof-tree*)))) (unless node (with-output-chaos-error ('no-unproved) (format t "There is no unproved goals."))) (set-indvars node variables))) ;;; gather-constructor-ops : module -> List(constructor) ;;; list up all the constructor ops in a given module ;;; (defun gather-constructor-ops (module) (let ((res nil)) (with-in-module (module) (dolist (opinfo (module-all-operators *current-module*)) (dolist (meth (opinfo-methods opinfo)) (when (method-is-constructor? meth) (push meth res)))) res))) ;;; get-induction-variable-constructors : variable -> List(constructor) ;;; returns a list of constructors of a given induction variable ;;; (defun get-induction-variable-constructors (v constructors) (let ((ops nil)) (dolist (op constructors) (when (sort<= (method-coarity op) (variable-sort v) (module-sort-order *current-module*)) (push op ops))) (unless ops (with-output-chaos-error ('internal-error) (format t "Finding constructor of sort ~a, none was found." (string (sort-name (variable-sort v)))))) ;; we sort the list of ops by number of arguments ;; this is important for generating step cases properly. (sort ops #'(lambda (x y) (< (length (method-arity x)) (length (method-arity y))))))) ;;; get-indvar-constructors ;;; returns a list of (indvar . const1 const2 ...constn) for an induction variable indvar. ;;; (((idvar-1 . const-1) ... (idvar-1 ... const-n)) ;;; ((idvar-2 . const-2) ... (idvar-2 ... const-2-m)) ;;; : ;;; ((idva-i . const-i) ... (idvar-i ... const-i-k))) ;;; (defun get-indvar-constructors (indvars constructors) (let ((ivar-map nil)) (dolist (iv indvars) (push (mapcar #'(lambda (cts) (cons iv cts)) (get-induction-variable-constructors iv constructors)) ivar-map)) (nreverse ivar-map))) ;;; make-indvar-comb-substitutions : List(variable) List(constructor) -> List(substitution) ;;; returns all possible substitution patterns of induction variables. ;;; ex. for induction variables A, B, C, there are constructors ;;; op a-1 : -> A . op a-2 : -> A ;;; op b-1 : B -> B ;;; op c-1 : -> C . op c-2 : -> C . op c-3 : C -> C ;;; this will proces the following substitutions: ;;; (((A . A-1) (B . B-1) (C . C-1)) ;;; ((A . A-2) (B . B-1) (C . C-2)) ;;; ((A . A-1) (B . B-1) (C . C-3)) ;;; ((A . A-2) (B . B-1) (C . C-1)) ;;; ((A . A-1) (B . B-1) (C . C-2)) ;;; ((A . A-2) (B . B-1) (C . C-3))) ;;; (defun make-indvar-comb-substitutions (indvars constructors) (let ((list-of-alist (get-indvar-constructors indvars constructors))) (declare (type list list-of-alist)) (select-comb-elems list-of-alist))) ;;; get-induction-base-substitutions : List(substitution) -> List(substitution) ;;; (defun get-induction-base-substitutions (all-subst) (let ((res nil)) (dolist (subst all-subst) (when (every #'(lambda (sub) (null (method-arity (cdr sub)))) subst) (push subst res))) (with-citp-debug () (format t "~%[si] base case subst") (dolist (sub res) (print-next) (print-substitution sub))) (nreverse res))) ;;; get-induction-step-substitutions : List(substitution) -> List(substitution) ;;; (defun get-induction-step-substitutions (all-subst) (let ((res nil)) (dolist (subst all-subst) (unless (every #'(lambda (sub) (null (method-arity (cdr sub)))) subst) (push subst res))) (with-citp-debug () (format t "~%[si] get-induction-step-subsutitutions") (dolist (sub res) (print-next) (print-substitution sub))) (nreverse res))) ;;; get-real-target-variable : variable List(variable) -> { variable | null } ;;; finds an variable from a list of variables. ;;; (defun get-real-target-variable (indvar axiom-variables) (find-if #'(lambda (m) (and (sort= (variable-sort m) (variable-sort indvar)) (equal (variable-name m) (variable-name indvar)))) axiom-variables)) ;;; make-real-induction-subst ;;; (defun make-real-induction-subst (subst axiom-vars) (let ((rsubst nil)) (dolist (sub subst) (let ((iv (car sub)) (op (cdr sub)) (rv nil)) (when (setq rv (get-real-target-variable iv axiom-vars)) (setq rsubst (acons rv (make-applform-simple (method-coarity op) op nil) rsubst))))) rsubst)) ;;; set-base-cases ;;; generates base case axioms for a given target ;;; (defun set-base-cases (goal target base-substitutions) (let ((all-targets nil) (app? nil)) (with-in-module ((goal-context goal)) (dolist (subst base-substitutions) (let* ((new-target (rule-copy-canonicalized target *current-module*)) (real-subst (make-real-induction-subst subst (axiom-variables new-target)))) (when real-subst (setq app? t) (apply-substitution-to-axiom real-subst new-target) (push new-target all-targets))))) (setf (goal-targets goal) (nconc (goal-targets goal) all-targets)) app?)) ;;; make-step-constructor-term ;;; (defun make-step-constructor-term (goal op one-arg variable) (with-in-module ((goal-context goal)) (let ((arity (method-arity op)) (arg-list nil) (arg-var-assoc nil) (n 0)) (setq arg-var-assoc (mapcar #'(lambda (x) (cons x 0)) arity)) (dolist (s arity) (cond ((sort<= (term-sort one-arg) s *current-sort-order*) (when (< 1 (incf n)) (with-output-chaos-error ('sorry) (format t "Sorry, but system does not handle a constructor having multiple arguments of the same sort."))) (push one-arg arg-list)) (t (let* ((var-assoc (assoc s arg-var-assoc)) (ind-var (if (zerop (cdr var-assoc)) (progn (incf (cdr var-assoc)) variable) (make-variable-term s (intern (format nil "~A~D" (string (variable-name variable)) (incf (cdr var-assoc))))))) (constant (variable->constructor goal ind-var :sort s))) (push constant arg-list))))) (let ((res (make-applform-simple (method-coarity op) op (nreverse arg-list)))) res)))) ;;; make-induction-step-subst : goal axiom (var . op) -> substitution ;;; (defun make-induction-step-subst (goal target v-op-list) ;; we ignore all mapped operators are constant constructors. (when (every #'(lambda (v-op) (let ((op (cdr v-op))) (and (null (method-arity op)) (method-is-constructor? op)))) v-op-list) (return-from make-induction-step-subst nil)) ;; (let ((hypo-v-op nil) (step-v-op nil) ;; (new-ops nil) (axiom-vars (axiom-variables target))) ;; we generate the following case for each induction variable v: ;; 1) (v . ) ;; 2) (v . ) ;; 3) (v . ) ;; (dolist (sub v-op-list) (let* ((iv (car sub)) ; induction variable (op (cdr sub)) ; operator (rv nil)) ; real induction variable in target (when (setq rv (get-real-target-variable iv axiom-vars)) (cond ((null (method-arity op)) (let* ((ct (variable->constructor goal rv :op op)) (c-subst (cons iv ct))) ;; operator is constant constructor (push (list (cons iv (list op ct))) hypo-v-op) (push c-subst step-v-op))) (t ;; operator is non-constant constructor (let ((const-term (variable->constructor goal rv))) (push (list (cons rv (list op const-term))) hypo-v-op) (push (cons rv (make-step-constructor-term goal op const-term rv)) step-v-op))))))) (values (select-comb-elems (nreverse hypo-v-op)) (nreverse step-v-op)))) (defun make-real-induction-step-subst (subst variables) (let ((rsubst nil)) (dolist (sub subst) (let ((iv (car sub)) (term (cdr sub)) (rv nil)) (when (setq rv (get-real-target-variable iv variables)) (setq rsubst (acons rv term rsubst))))) (nreverse rsubst))) (defun resolve-induction-subst (goal hypo-v-op step-subst) (declare (ignore goal)) (flet ((make-proper-alist (sub) (mapcar #'(lambda (s) (cons (car s) (cadr s))) sub))) (unless hypo-v-op (with-output-chaos-warning () (format t "No subst given.") (return-from resolve-induction-subst nil))) (let ((rsubsts (mapcar #'(lambda (sub) (cons (car sub) (list (third sub)))) hypo-v-op)) (all-subst nil)) (with-citp-debug () (format t "~%[si] resolve induction step: given") (print-next) (format t "hypo-v-op: ~s" hypo-v-op) (print-next) (princ "step-subst" ) (print-substitution step-subst)) ;; return if there are no possible combinations ;; (unless (cdr hypo-v-op) ;; (return-from resolve-induction-subst (list (make-proper-alist rsubsts)))) ;; (with-citp-debug () (format t "~%resolve subst: given") (dolist (v-op hypo-v-op) (let ((*print-indent* (+ 2 *print-indent*))) (print-next) (format t "(~a . ~a <- " (variable-name (first v-op)) (car (method-name (second v-op)))) (term-print-with-sort (third v-op)) (princ ")")))) ;; make all possible hypothesis substitutions (let ((vop-hash (make-hash-table :test #'eq)) (vcombs nil)) (dolist (v-op hypo-v-op) (let ((v (first v-op)) (as nil)) (unless (setq as (assoc v rsubsts)) (with-output-chaos-error ('internal-err) (format t "!! cannot find variable subst ~s" (variable-name v)))) (setf (gethash v vop-hash) (list as)) (let ((st (assoc v step-subst :test #'equal)) (hentry (gethash v vop-hash)) (new-element nil)) (unless st (with-output-chaos-error ('no-step-term) (format t "No step term found for variable ~a" (variable-name v)))) (setq new-element (cons v (list (cdr st)))) (unless (member new-element hentry :test #'equal) (setf (gethash v vop-hash) (append hentry (list new-element))))))) (maphash #'(lambda (x vl) (declare (ignore x)) (push vl vcombs)) vop-hash) (setq all-subst (select-comb-elems vcombs)) (with-citp-debug () (format t "~%resolve subt: all possibilities") (let ((*print-indent* (+ 2 *print-indent*)) (num 0)) (declare (type fixnum num)) (dolist (vcom all-subst) (print-next) (format t "=== (#~d) " (incf num)) (dolist (rs vcom) (format t "~a |-> " (variable-name (car rs))) (term-print-with-sort (cadr rs)) (princ " "))))) ;; (mapcar #'make-proper-alist all-subst))))) ;;; add-hypothesis ;;; Note: assumes computing module context is established. ;;; (defun subst-is-equal (sub1 sub2) (dolist (entry sub1) (let ((entry2 (assoc (car entry) sub2 :test #'equal))) (unless entry2 (return-from subst-is-equal nil)) (unless (equal (cdr entry) (cdr entry2)) (return-from subst-is-equal nil)))) t) (defun add-hypothesis (step-goal target hypo-subst step-subst) (with-citp-debug () (format t "~%[si] add-hypothesis:") (print-next) (princ "-- hypo-subst ") (dolist (hp hypo-subst) (print-next) (print-substitution hp)) (print-next) (princ "-- step-subst ") (print-substitution step-subst)) (dolist (osub hypo-subst) (dolist (sub (resolve-induction-subst step-goal osub step-subst)) (unless (subst-is-equal sub step-subst) (let* ((hypo (rule-copy-canonicalized target *current-module*)) (subst (make-real-induction-step-subst sub (axiom-variables hypo)))) (with-citp-debug (format t "~%[applying hypo subst] ") (print-substitution subst) (print-next) (princ "to ") (print-axiom-brief hypo)) (apply-substitution-to-axiom subst hypo '(si) t) (compute-rule-method hypo) (set-operator-rewrite-rule *current-module* hypo) (adjoin-axiom-to-module *current-module* hypo) (with-citp-debug () (format t "~%--> ") (print-axiom-brief hypo)) (setf (goal-assumptions step-goal) (append (goal-assumptions step-goal) (list hypo)))))))) ;;; add-step-cases ;;; Note: assumes computing module context is established. ;;; (defun add-step-cases (step-goal target step-subst) (let* ((new-target (rule-copy-canonicalized target *current-module*)) (subst (make-real-induction-step-subst step-subst (axiom-variables new-target)))) (when (car subst) (with-citp-debug (format t "~%[applying step subst] ") (print-substitution subst)) (apply-substitution-to-axiom subst new-target) (setf (goal-targets step-goal) (nconc (goal-targets step-goal) (list new-target)))))) ;;; induction-cases ;;; Note: assumes there properly set induction variables in the current goal. ;;; (defun induction-cases (parent-node) (declare (type ptree-node parent-node)) (let* ((cur-goal (ptree-node-goal parent-node)) (cur-targets nil) (indvars (goal-indvars cur-goal)) (all-subst (make-indvar-comb-substitutions indvars (gather-constructor-ops (goal-context cur-goal)))) (base-goal (prepare-next-goal parent-node .tactic-si.)) (step-goals nil) (need-goal nil) (base-generated nil) (remainings nil)) ;; (with-citp-debug () (format t "~%[si] all possible substitutions") (let ((num 0)) (declare (type fixnum num)) (dolist (subs all-subst) (format t "~%subst #~d" (incf num)) (let ((*print-indent* (+ 2 *print-indent*))) (print-next) (print-substitution subs))))) ;; implicit NF application (dolist (ct (goal-targets cur-goal)) (multiple-value-bind (ntarget app?) (normalize-sentence ct (goal-context cur-goal)) (when app? (setq need-goal t)) (push ntarget cur-targets))) (setq cur-targets (nreverse cur-targets)) ;; generate base cases ;; (dolist (target cur-targets) (if (not (set-base-cases base-goal target (get-induction-base-substitutions all-subst))) (when need-goal (push target remainings)) (setq base-generated t))) (unless base-generated (setq base-goal nil)) ;; generate step cases ;; we generate all possible combinations of given induction variables. ;; for each combination, we will construct a new goal. ;; (dolist (subst (get-induction-step-substitutions all-subst)) (let ((step-goal (prepare-next-goal parent-node .tactic-si.))) (with-in-module ((goal-context step-goal)) ;; following functions and their callies can assume the computing context is established. (dolist (target cur-targets) (multiple-value-bind (hypo-subst-list step-subst) (make-induction-step-subst step-goal target subst) (add-hypothesis step-goal target hypo-subst-list step-subst) (add-step-cases step-goal target step-subst))) (cond ((goal-targets step-goal) (push step-goal step-goals)) (t ))))) ; do nothig ;; (when remainings (multiple-value-bind (ap? nil-goals) (apply-nil-internal parent-node (reverse remainings) :all-togather .tactic-si.) (declare (ignore ap?)) (dolist (ng nil-goals) (push ng step-goals)))) ;; (if base-goal (values t (cons base-goal (nreverse step-goals))) (if step-goals ;; case remainings (values t step-goals) (values nil nil))))) ;;; apply-si : ptree-node tactic -> (applied? . List(goal)) ;;; (defun apply-si (ptree-node &rest ignore) (declare (type ptree-node ptree-node) (ignore ignore)) (let ((cur-goal (ptree-node-goal ptree-node))) (unless (and (goal-indvars cur-goal) (goal-targets cur-goal)) (return-from apply-si nil)) (multiple-value-bind (applied new-goals) (induction-cases ptree-node) (if applied (values applied new-goals) (values nil nil))))) ;;; ======================= ;;; TACTIC: REDUCTION [RD] ;;; ======================= ;;; do-apply-rd ;;; (defun do-apply-rd (cur-goal next-goal tactic) (let* ((target-goal (or next-goal cur-goal)) (cur-targets (goal-targets target-goal)) (reduced-targets nil) (discharged nil) (result nil) (tactic-name (tactic-name tactic))) (unless cur-targets (with-citp-debug () (format t "~%[rd] no target sentences.")) (return-from do-apply-rd (values nil nil))) (compile-module (goal-context target-goal) t) (dolist (target cur-targets) (multiple-value-bind (c-result cur-target original-sentence) (do-check-sentence target (or next-goal cur-goal) tactic-name) (cond (c-result ; satisfied or contradition (setq result t) (push original-sentence discharged)) ;; reduced but not discharged (t (push cur-target reduced-targets))))) ;; set new (reduced sentences) as targets (setf (goal-targets target-goal) (nreverse reduced-targets)) ;; set discharged sentences (setf (goal-proved cur-goal) (nreverse discharged)) (unless reduced-targets ;; this means all sentences are discharged (setf (goal-targets cur-goal) nil) (format t "~%[~a] discharged goal ~s." tactic-name (goal-name cur-goal)) (return-from do-apply-rd (values result nil))) ;; there remains (values t (list (or next-goal cur-goal))))) ;;; apply-rd ;;; explicit application of tactic RD. (defun apply-rd (ptree-node &optional (tactic .tactic-rd.)) (declare (type ptree-node ptree-node) (type tactic tactic)) ;; we set :spoiler on (with-spoiler-on () ; force application of implicit tactcs(NF, CF, e.t.c.) (let ((cur-goal (ptree-node-goal ptree-node))) (when (goal-is-discharged cur-goal) (with-output-chaos-warning () (format t "** The goal ~s has already been proved!" (goal-name cur-goal))) (return-from apply-rd (values nil nil))) (unless (goal-targets cur-goal) (return-from apply-rd nil)) (let ((undo? (the-goal-needs-undo cur-goal)) (original-target (ptree-node-goal (ptree-node-parent ptree-node)))) ;; undo? = true means the current goal is generatd by ;; :defined :ctf- or :csp-, AND ;; this RD application follows it, i.e., :apply(... ctf-n rd ...) ;; in this case we don't prepare next-goal and .. (let ((next-goal (if undo? nil (prepare-next-goal ptree-node .tactic-rd.)))) (unless undo? (setf (goal-targets next-goal) (goal-targets cur-goal))) (with-citp-debug () (format t "~%[rd] target: ~a" (if next-goal (goal-name next-goal) (goal-name cur-goal)))) (multiple-value-bind (applied next-goals) (do-apply-rd cur-goal next-goal tactic) (declare (ignore applied)) (when undo? (dolist (ngoal next-goals) (when (goal-targets ngoal) ;; reset target (when-citp-verbose () (format t "~%[rd] ~a rollback to original goal ~a" (goal-name ngoal)(goal-name original-target))) (setf (goal-targets ngoal) (goal-targets original-target))))) (if undo? ;; the original goal rolled back, no new goal is needed. (values next-goals nil) (values next-goals next-goals)))))))) ;;; ========================== ;;; TACTIC: Case Analysis [CA] ;;; ========================== ;;; get-gterms : term -> List(ground-term) ;;; returns a list of ground terms in given term. ;;; (defun get-gterms (term) (declare (type term term)) (let ((gterms nil)) (declare (type list gterms)) (when (term-is-applform? term) (unless (term-variables term) (push term gterms)) (dolist (arg (term-subterms term)) (setq gterms (nconc gterms (get-gterms arg))))) gterms)) ;;; get-gterms-from-axiom : axiom -> List(ground-term) ;;; returns the list of ground terms contained in the given axiom. ;;; (defun get-gterms-from-axiom (axiom &optional (condition-only nil)) (declare (type axiom axiom)) (let ((gterms nil)) (declare (type list gterms)) (cond (condition-only (unless (is-true? (axiom-condition axiom)) (setq gterms (remove-duplicates (get-gterms (axiom-condition axiom)) :test #'equal)))) (t (setq gterms (delete-duplicates (append (get-gterms (axiom-lhs axiom)) (append (get-gterms (axiom-rhs axiom)) (get-gterms-from-axiom axiom t))) :test #'equal)))) gterms)) ;;; gsubterm-has-matching-rule : term List(axiom) -> Bool ;;; returns t iff there is an axiom x in List(axiom) st. ;;; sigma(s) = lhs(x), where s is one of the true subterm of given ground term. ;;; (defun gsubterm-has-matching-rule (gterm c-rules) (declare (type term gterm) (type list c-rules)) (dolist (term (delete gterm (get-gterms gterm))) (with-citp-debug () (format t "~% check : ") (term-print-with-sort term)) (dolist (crule c-rules) (multiple-value-bind (gs sub no-match eeq) (@matcher (axiom-lhs crule) term :match) (declare (ignore eeq sub gs)) (unless no-match (return-from gsubterm-has-matching-rule t))))) nil) ;;; ca-instantiate-condition : goal term -> term' ;;; returns a term t' by replacing every variable in the given term t ;;; by a constant. ;;; (defun ca-instantiate-condition (goal condition) (declare (type goal goal) (type term condition)) (let ((vars (term-variables condition)) (subst nil)) (declare (type list vars subst)) (cond (vars (dolist (v vars) (push (cons v (variable->constant goal v)) subst)) (substitution-image-simplifying subst condition)) (t condition)))) ;;; find-gterm-matching-conditionals : goal term List(conditional axioms) ;;; -> List() ;;; returns all possible cases for a given ground term. ;;; (defvar .duplicated. nil) (defvar .subst-so-far. nil) (defun find-gterm-matching-conditionals (goal gterm conditional-rules idx) (declare (type goal goal) (type term gterm) (type list conditional-rules) (type fixnum idx)) (let ((res nil) (rejected nil)) (dolist (rule conditional-rules) (block next (unless (is-true? (rule-condition rule)) (multiple-value-bind (gs sub no-match eeq) (@matcher (axiom-lhs rule) gterm :match) (declare (ignore eeq)) (when no-match (return-from next nil)) (let ((cond-instance (ca-instantiate-condition goal (substitution-image-simplifying sub (rule-condition rule))))) (cond ((not (member cond-instance .subst-so-far. :test #'term-equational-equal)) (push cond-instance .subst-so-far.) (push cond-instance res)) (t (push cond-instance rejected))) (loop (let ((n-subst nil) (n-cond-inst nil)) (multiple-value-setq (gs n-subst no-match) (next-match gs)) (when no-match (return-from next)) (with-citp-debug () (format t "~%[ca] adding extra.")) (setq n-cond-inst (ca-instantiate-condition goal (substitution-image-simplifying n-subst (rule-condition rule)))) (cond ((not (member n-cond-inst .subst-so-far. :test #'term-equational-equal)) (unless (term-equational-equal n-cond-inst cond-instance) (push n-cond-inst .subst-so-far.) (push n-cond-inst res))) (t ;; (push cond-instance res) ; *** (push cond-instance rejected)))))))))) ;; (with-citp-debug () (when res (format t "~%found cases for ") (term-print-with-sort gterm) (dolist (i res) (print-next) (term-print-with-sort i))) (when rejected (format t "~%rejected cases") (dolist (i rejected) (print-next) (term-print-with-sort i)))) (when rejected (setf (aref .duplicated. idx) (remove-duplicates rejected :test #'term-equational-equal))) ;; (remove-duplicates res :test #'term-equational-equal))) ;;; generate-case-axioms : goal List(< rule . subst >) -> List(axiom) ;;; (defvar .new-axs-so-far. nil) (defun generate-case-axioms (next-goal conditions) (with-in-module ((goal-context next-goal)) (let ((case-axioms nil)) (dolist (condition conditions) (let ((list-lhs nil)) (if (method= *bool-cond-op* (term-method condition)) (dolist (arg (list-assoc-subterms condition *bool-cond-op*)) (push arg list-lhs)) (setq list-lhs (list condition))) (dolist (condition list-lhs) (let ((axs (make-new-assumption *current-module* condition 'ca))) (when axs (unless (member axs .new-axs-so-far. :test #'rule-is-similar?) (push axs .new-axs-so-far.) (compute-rule-method axs) (with-citp-debug () (format t "~%[ca] adding an axiom to module ~s" (get-module-simple-name (goal-context next-goal))) (print-next) (print-axiom-brief axs)) (set-operator-rewrite-rule *current-module* axs) (adjoin-axiom-to-module *current-module* axs) (push axs case-axioms))))))) (compile-module *current-module* t) (setf (goal-assumptions next-goal) (append (goal-assumptions next-goal) (nreverse case-axioms)))))) ;;; normalize-cases : List(List(term)) -> List(List(term))' ;;; (defun find-sub-case-in (case l-case) (declare (type list case l-case)) (let ((size (length case))) (declare (type fixnum size)) (dolist (xc l-case) (when (and (<= size (length xc)) (every #'(lambda (x) (find x xc :test #'term-equational-equal)) case)) (return-from find-sub-case-in xc))) nil)) (defun case-is-valid (idxs term) (dolist (idx idxs) (when (member term (aref .duplicated. idx) :test #'term-equational-equal) (with-citp-debug () (format t "~% ... rejected.")) (return-from case-is-valid nil))) term) (defun remove-exclusive-cases (case) (let ((idxs (mapcar #'(lambda (x) (car x)) case)) (result nil)) (declare (type list idxs result)) (with-citp-debug () (format t "~%-- check these combination") (dolist (c case) (print-next) (format t "~idx ~d: " (car c)) (term-print-with-sort (cdr c)))) (dolist (c case) (let ((term (cdr c))) (when (case-is-valid idxs term) (push term result)))) result)) (defun normalize-cases (l-case ptree-node all-cases) (declare (type list l-case) (type ptree-node ptree-node)) (let ((mod (goal-context (ptree-node-goal ptree-node))) (dist-cases nil)) (with-in-module (mod) (flet ((distribute-cond (term) (if (method= *bool-cond-op* (term-head term)) (list-assoc-subterms term *bool-cond-op*) (list term)))) (with-citp-debug () (when .duplicated. (format t "~%== .duplicated. === ") (dotimes (x (1- (length .duplicated.))) (format t "~%(~d)" x) (dolist (trm (aref .duplicated. x)) (print-next) (term-print-with-sort trm))))) (dolist (case l-case) (block next ;; case ::= (t0 t1 ... tn) ;; first we remove exclusive cases (setq case (remove-exclusive-cases case)) (unless case (return-from next nil)) (dolist (c case) (setq all-cases (delete c all-cases :test #'term-equational-equal))) ;; then divide /\ into each cases (let ((dcase nil)) (dolist (c case) (setq dcase (nconc dcase (distribute-cond c)))) (push (delete-duplicates dcase :test #'term-equational-equal) dist-cases))) (setq dist-cases (nreverse dist-cases))) ;; (let ((result nil)) ;; for each case (dolist (case dist-cases) (unless (find-sub-case-in case result) (setq result (nconc result (list case))))) (when all-cases ;; remaining sole cases (dolist (c all-cases) (push (list c) result))) ;; result))))) ;;; generate-cases : ptree-node term List(conditional-axiom) ;;; (defun generate-cases (ptree-node target conditional-rules divide?) (declare (type ptree-node ptree-node) (list conditional-rules)) (multiple-value-bind (norm-target app?) (normalize-sentence target (goal-context (ptree-node-goal ptree-node))) (when app? (setq target norm-target)) (with-citp-debug () (format t "~%** Case Analysis: target -----------") (print-next) (print-axiom-brief target)) ;; then generate possible cases (let ((gterms (get-gterms-from-axiom target)) (next-goals nil) (remainings nil) (all-cases nil) (gt-idx 0) (.subst-so-far. nil) (.duplicated. nil)) (declare (type fixnum gt-idx) (type list gterms next-goals remainings .subst-so-far.)) (setf .duplicated. (make-array (length gterms) :initial-element nil)) ;; (let ((g-conditions nil)) (dolist (gterm gterms) (unless (gsubterm-has-matching-rule gterm conditional-rules) (let ((conds (find-gterm-matching-conditionals (ptree-node-goal ptree-node) gterm conditional-rules gt-idx))) (when conds (incf gt-idx) (push conds g-conditions))))) (setq g-conditions (nreverse g-conditions)) (with-citp-debug () (format t "~%All the conditions") (print-next) (dolist (gc g-conditions) (princ "====") (print-next) (dolist (cond gc) (term-print-with-sort cond)))) ;; (dolist (gc g-conditions) (dolist (c gc) (pushnew c all-cases :test #'term-equational-equal))) ;; make all combinations and generate cases (let ((rv-combs (select-comb-elems g-conditions t)) (next-goal nil)) ;; distribute /\ and delete duplicated conditions (with-citp-debug () (format t "~%[ca] gterm conditions --BEFORE normalization: ") (if rv-combs (let ((rv-com nil)) (dotimes (x (length rv-combs)) (setq rv-com (nth x rv-combs)) (print-next) (format t "--(~d)--" (1+ x)) (dolist (rr rv-com) (print-next) (format t "~d:" (car rr)) (term-print-with-sort (cdr rr))))) (format t "NONE."))) ;; eliminate exclusive combinations and dupulicated cases. (setq rv-combs (normalize-cases rv-combs ptree-node all-cases)) (with-citp-debug () (format t "~%[ca] gterm conditions --AFTER normalization: ") (if rv-combs (let ((rv-com nil)) (dotimes (x (length rv-combs)) (setq rv-com (nth x rv-combs)) (print-next) (format t "--(~d)--" (1+ x)) (dolist (rr rv-com) (print-next) (term-print-with-sort rr)))) (format t "NONE."))) (cond (rv-combs (dolist (rv-com rv-combs) (let ((.new-axs-so-far. nil)) (setq next-goal (prepare-next-goal ptree-node .tactic-ca.)) (setf (goal-targets next-goal) (list target)) (generate-case-axioms next-goal rv-com) (push next-goal next-goals))) ;; normalize the target after adding cases (normalize-sentence target *current-module*)) (t ;; no case is generated for the target (push target remainings))))) ;; (when remainings (when (or next-goals app? divide?) (multiple-value-bind (app? nop-goals) (apply-nil-internal ptree-node (reverse remainings) nil .tactic-ca.) (declare (ignore app?)) (if-spoiler-on :then (dolist(ng nop-goals) (let ((target (car (goal-targets ng)))) ;; no case is generated: apply normalization & check the result (multiple-value-bind (discharged normalized-target original-target) (do-check-sentence target ng) (when discharged (format t "~%[ca] discharged: ") (print-axiom-brief normalized-target) (setf (goal-targets ng) nil (goal-proved ng) (list original-target)))) (push ng next-goals))) :else (setq next-goals nop-goals))))) ;; check LE (setq next-goals (nreverse next-goals)) (dolist (goal next-goals) (check-le goal)) ;; (values next-goals next-goals)))) (defun rule-is-for-case (rule) (and (not (is-true? (rule-condition rule))) (let ((labels (rule-labels rule))) (dolist (lb labels nil) (let ((lstr (string lb))) (when (and (>= (length lstr) 3) (string-equal (subseq lstr 0 3) "CA-")) (return-from rule-is-for-case t))))))) (defun get-ca-rules (module) (remove-if-not #'rule-is-for-case (module-all-rules module))) ;;; apply-ca ;;; toplevel of :ca (defun apply-ca (ptree-node &rest ignore) (declare (type ptree-node ptree-node) (ignore ignore)) (with-in-context (ptree-node) (with-in-module ((goal-context .cur-goal.)) (let ((crules (get-ca-rules *current-module*)) (divide? (cdr .cur-targets.))) (dolist (target .cur-targets.) (multiple-value-bind (applied goals) (generate-cases ptree-node target crules divide?) (declare (ignore applied)) (when goals (setq .next-goals. (nconc .next-goals. goals))))) (values .next-goals. .next-goals.))))) ;;; for debug (defun rule-is-case-generated (rule) (and (is-true? (rule-condition rule)) (let ((labels (rule-labels rule))) (dolist (lb labels nil) (let ((lstr (string lb))) (when (and (= 2 (length lstr)) (string-equal lstr "CA")) (return-from rule-is-case-generated t))))))) (defun print-case-axioms (node) (let ((mod (goal-context (ptree-node-goal node))) (cas nil)) (with-in-module (mod) (let ((all-rules (module-all-rules mod))) (dolist (rule all-rules) (when (rule-is-case-generated rule) (push rule cas)))) (when cas (format t "~%** generated axioms in goal ~s" (goal-name (ptree-node-goal node))) (let ((*print-indent* (+ 2 *print-indent*))) (dolist (rl cas) (print-next) (print-axiom-brief rl))))))) (defun all-cases () (unless *proof-tree* (with-output-chaos-error ('no-context) (format t "No proof tree!"))) (dag-wfs (ptree-root *proof-tree*) #'print-case-axioms)) ;;; ====================================== ;;; TACTIC: Case Analysis on Sequence [CS] ;;; TODO ;;; ====================================== (defun apply-cs (ptree-node &rest ignore) (declare (ignore ignore)) ptree-node) ;;; ========================================== ;;; INSTANCIATE (non-executable) axiom (:init) ;;; ========================================== ;;; get-target-axiom : module target-form -> {nil | axiom} ;;; target-form : (
) ;;; (defun get-target-axiom (module target-form &optional (add-to-module nil)) (let ((kind (first target-form)) (ax nil)) (cond ((eq :label kind) (setq ax (get-rule-labelled module (second target-form)))) (t (with-in-module (module) (setq ax (parse-axiom-declaration (parse-module-element-1 (cdr target-form)))) (when add-to-module (set-operator-rewrite-rule module ax) (adjoin-axiom-to-module module ax) (set-needs-rule))))) ax)) ;;; resolve-subst-form ;;; (defun resolve-subst-form (context subst-forms) (with-in-module (context) (let ((subst nil) (*parse-variables* nil)) (dolist (subst-form subst-forms) (let ((var-form (first subst-form)) (term-form (rest subst-form)) (var nil) (term nil)) (with-citp-debug () (format t "~%resolving subst form:") (print-next) (format t " var=~s, term=~s" var-form term-form)) (setq var (simple-parse context var-form)) (when (or (term-ill-defined var) (not (term-is-variable? var))) (with-output-chaos-error ('invalid-var-form) (format t "Invalid variable in substitution: ~s" var-form))) (setq term (simple-parse context term-form)) (when (term-ill-defined term) (with-output-chaos-error ('invalid-term) (format t "No parse..: ~s" term-form))) (unless (sort<= (term-sort term) (variable-sort var) *current-sort-order*) (with-output-chaos-error ('sort-mismatch) (format t "Sort mismatch for the substitution") (print-next) (format t " variable: ") (term-print-with-sort var) (print-next) (format t " term: ") (term-print-with-sort term))) (push (cons var term) subst))) subst))) ;;; (defun make-real-instanciation-subst (subst axiom-vars) (let ((rsubst nil) rv) (dolist (vt-pair subst) (if (setq rv (get-real-target-variable (car vt-pair) axiom-vars)) (setq rsubst (acons rv (cdr vt-pair) rsubst)) (with-output-chaos-error ('no-var) (format t "Instanciating an axiom, no such variable ") (term-print-with-sort (car vt-pair))))) rsubst)) ;;; make-axiom-instance : module substitution axiom -> axiom' ;;; terms in resulting axiom must be ground terms. ;;; (defun make-axiom-instance (module subst axiom) (let ((new-axiom (rule-copy-canonicalized axiom module)) (rsubst nil)) (setq rsubst (make-real-instanciation-subst subst (axiom-variables new-axiom))) (apply-substitution-to-axiom rsubst new-axiom '(init)) new-axiom)) ;;; instanciate-axiom ;;; (defun instanciate-axiom (target-form subst-form) (with-next-context (*proof-tree*) (let ((target-axiom (get-target-axiom *current-module* target-form t)) (subst (resolve-subst-form *current-module* subst-form)) (instance nil)) ;; (setq instance (make-axiom-instance *current-module* subst target-axiom)) ;; we normalize the LHS of the instance (with-spoiler-on (multiple-value-bind (n-lhs applied?) (normalize-term-in *current-module* (axiom-lhs instance)) (when applied? (setf (axiom-lhs instance) n-lhs)))) ;; input the instance to current context (let ((goal (ptree-node-goal .context.))) (setf (goal-assumptions goal) (append (goal-assumptions goal) (list instance))) (format t "~%**> initialized the axiom in goal ~s" (goal-name (ptree-node-goal .context.))) (let ((*print-indent* (+ 2 *print-indent*)) (*print-line-limit* 80) (*print-xmode* :fancy)) (print-next) (print-axiom-brief instance)) (when-citp-verbose () (pr-goal (ptree-node-goal .context.))) (set-operator-rewrite-rule *current-module* instance) (adjoin-axiom-to-module *current-module* instance) (compile-module *current-module* t))))) ;;; ================================ ;;; Target sentence T -> A implies T [:imp] ;;; ================================ (defun make-impl-assumption (ax) (axiom-lhs ax)) (defun make-impl-form (lhs instance) (make-applform-simple *bool-sort* *bool-imply* (list (make-impl-assumption instance) lhs))) (defun introduce-implication-to-goal (target-form subst-form) (let ((target-axiom (get-target-axiom *current-module* target-form t)) (subst (resolve-subst-form *current-module* subst-form)) (instance nil)) (setq instance (make-axiom-instance *current-module* subst target-axiom)) (with-next-context (*proof-tree*) ;; normalize it (with-spoiler-on (multiple-value-bind (n-instance applied?) (normalize-sentence instance *current-module*) (when applied? (setq instance n-instance)))) (unless (and (is-true? (axiom-rhs instance)) (is-true? (axiom-condition instance))) (with-output-chaos-error ('invalid-axiom) (format t "~%[:imp] invalid instance") (print-next) (print-axiom-brief instance))) ;; modify the target sentence. ;; instance: eq p = true . ;; goal: eq l = r . ;; -> new goal eq p implies l = r . (dolist (target (goal-targets (ptree-node-goal .context.))) (let ((new-lhs (make-impl-form (axiom-lhs target) instance)) (*print-indent* (+ *print-indent* 2))) (format t "~%:imply converting target sentence to 'implication' form.") (print-next) (print-axiom-brief target) (print-next) (setf (axiom-lhs target) new-lhs) (setf (axiom-labels target) (cons :imp (axiom-labels target))) (princ "=> ") (print-axiom-brief target)))))) ;;; ============== ;;; CRITICAL PAIRS [:cp] ;;; ============== (defun citp-rename-term-variables (suffix list-vars) (let ((done nil)) (dolist (var list-vars) (unless (member var done) (push var done) (setf (variable-name var) (intern (format nil "~a~a" (variable-name var) suffix))))))) (let ((*renamed-variable-number* 0)) (declare (type fixnum *renamed-variable-number*)) (defun citp-rename-axiom-variables (axiom) (citp-rename-term-variables (incf *renamed-variable-number*) (axiom-variables axiom)) axiom) ) (defstruct (cpp (:print-function pr-cpp)) (t1 nil :type term) ; sigma(lhs[pos]) (t2 nil :type term) ; sigma(lhs) (pos nil :type list) ; occurence of t1 in root term (subst nil :type list) ; mgu (cpairs nil :type list)) ; generated critical pairs in a form of axiom (defun pr-cpp (cpp &optional (stream *standard-output*) &rest ignore) (declare (ignore ignore)) (format stream "~%Critical Pair ---------") (let ((*print-indent* (+ *print-indent*)) (*standard-output* stream)) (print-next) (princ "term 1: ") (term-print-with-sort (cpp-t1 cpp)) (print-next) (princ "term 2: ") (term-print-with-sort (cpp-t2 cpp)) (print-next) (format t "position: ~a" (cpp-pos cpp)) (print-next) (princ "substitution: ") (print-substitution (cpp-subst cpp)) (when (cpp-cpairs cpp) (setq *print-indent* (+ 2 *print-indent*)) (format t "~%- ~d critical pairs" (length (cpp-cpairs cpp))) (dolist (cpair (cpp-cpairs cpp)) (print-next) (print-axiom-brief cpair))))) (defun compute-overwraps (t1 t2 occur) (let ((cpps nil)) (cond ((term-is-applform? t1) (multiple-value-bind (subst no-match e-eq) (unify t1 t2) (declare (ignore e-eq)) (unless no-match (push (make-cpp :t1 (substitution-image-simplifying subst t1) :t2 (substitution-image-simplifying subst t2) :subst subst :pos occur) cpps)) (let ((pos 0)) (declare (type fixnum pos)) (dolist (sub (term-subterms t1)) (setq cpps (append cpps (compute-overwraps sub t2 (append occur (cons pos occur))))) (incf pos))))) (t nil)) cpps)) (defun term-at-pos (pos term) (if pos (term-at-pos (cdr pos) (term-arg-n term (car pos))) term)) (defun replace-term-at (pos term repl-term) (let ((target (term-at-pos pos term))) (term-replace target repl-term) term)) ;;; compute-all-overwrapps : axiom axiom -> List(cpp) ;;; (defun compute-axiom-overwrapps (ax-1 ax-2) (let ((lhs-1 (rule-lhs ax-1)) (lhs-2 (rule-lhs ax-2)) (cpps nil)) (setq cpps (compute-overwraps lhs-1 lhs-2 '())) cpps)) (defun generate-critical-pairs (cpps ax-1 ax-2) (dolist (cpp cpps) (let ((subst (cpp-subst cpp)) (cpairs nil)) (let ((cond-1 (substitution-image-simplifying subst (rule-condition ax-1))) (cond-2 (substitution-image-simplifying subst (rule-condition ax-2))) (rhs (substitution-image-simplifying subst (rule-rhs ax-1))) (lhs (replace-term-at (cpp-pos cpp) (substitution-image-simplifying subst (axiom-lhs ax-1)) (substitution-image-simplifying subst (axiom-rhs ax-2))))) (with-citp-debug () (format t "~%cond-1: ")(term-print-with-sort cond-1) (format t "~%cond-2: ")(term-print-with-sort cond-2) (format t "~%lhs: ") (term-print-with-sort lhs) (format t "~%rhs: ") (term-print-with-sort rhs)) (let ((*perform-on-demand-reduction* t)) (compile-module *current-module* t) ;; LHS (rewrite lhs *current-module*) ;; RHS (rewrite rhs *current-module*) (unless (term-equational-equal lhs rhs) (let ((ordered-pair (sort (list lhs rhs) #'lrpo))) (pushnew (make-rule :lhs (first ordered-pair) :rhs (second ordered-pair) :condition *bool-true* :type :equation ; might be changed later by command :equqtion or :rule :labels '(cp)) cpairs :test #'rule-is-similar?))) ;; Condition (let ((new-cond (make-applform-simple *condition-sort* *bool-cond-op* (list cond-1 cond-2)))) (with-citp-debug () (format t "~%[cp] generated condition: ") (term-print-with-sort new-cond)) (rewrite new-cond *current-module*) (with-citp-debug () (format t "~% after normalized :") (print-next) (term-print-with-sort new-cond)) (unless (is-true? new-cond) (cond ((eq *bool-cond-op* (term-head new-cond)) (let ((subs (list-assoc-subterms new-cond *bool-cond-op*))) (setq subs (sort subs #'lrpo)) (do* ((sl subs (cdr sl)) (lhs (car sl) (car sl)) (rhs (cadr sl))) ((null rhs)) (pushnew (make-rule :lhs lhs :rhs rhs :condition *bool-true* :type :equation :labels '(cpc)) cpairs :test #'rule-is-similar?)))) (t (pushnew (make-rule :lhs new-cond :rhs *bool-true* :condition *bool-true* :type :equation :labels '(cpc)) cpairs :test #'rule-is-similar?))))))) (setf (cpp-cpairs cpp) cpairs)))) (defun compute-critical-pairs (module axiom1 axiom2) (with-in-module (module) (let ((ax-1 (citp-rename-axiom-variables (rule-copy-canonicalized axiom1 module))) (ax-2 (citp-rename-axiom-variables (rule-copy-canonicalized axiom2 module))) (cpp-1 nil) (cpp-2 nil)) (setq cpp-1 (compute-axiom-overwrapps ax-1 ax-2)) (setq cpp-2 (compute-axiom-overwrapps ax-2 ax-1)) (generate-critical-pairs cpp-1 ax-1 ax-2) (generate-critical-pairs cpp-2 ax-2 ax-1) (with-citp-debug () (format t "~%------- cpp-1") (print cpp-1) (format t "~%------- cpp-2") (print cpp-2)) (let ((all-cpairs nil)) (dolist (cp1 (nconc cpp-1 cpp-2)) (setq all-cpairs (nconc all-cpairs (cpp-cpairs cp1)))) (remove-duplicates all-cpairs :test #'rule-is-similar?))))) ;;; apply-cp : axiom-form axiom-form -> void ;;; (defun apply-cp (target-1 target-2) (let ((context (get-next-proof-context *proof-tree*))) (unless context (with-output-chaos-error ('no-context) (format t "Applying [cp], no context module is established."))) (let ((goal (ptree-node-goal context))) (with-in-module ((goal-context goal)) (let ((t1axiom (get-target-axiom *current-module* target-1)) (t2axiom (get-target-axiom *current-module* target-2)) (cpps nil)) (setq cpps (setf (goal-critical-pairs goal) (compute-critical-pairs *current-module* t1axiom t2axiom))) (when cpps (format t "~%[cp] :") (let ((*print-indent* (+ 2 *print-indent*))) (dotimes (x (length cpps)) (print-next) (format t "(~d) " (1+ x)) (let ((ax (nth x cpps))) (term-print-with-sort (axiom-lhs ax)) (print-next) (princ " => ") (term-print-with-sort (axiom-rhs ax))))))))))) ;;; add-critical-pairs ;;; (defun add-critical-pairs (type direction) (let ((context (get-next-proof-context *proof-tree*))) (unless context (with-output-chaos-error ('no-context) (format t "Applying [cp], no context module is established."))) (let ((goal (ptree-node-goal context)) (applied nil)) (with-in-module ((goal-context goal)) (dolist (cps (goal-critical-pairs goal)) (setf (rule-type cps) type) (when (eq direction :backward) (let ((rhs (rule-lhs cps)) (lhs (rule-rhs cps))) (setf (rule-lhs cps) lhs (rule-rhs cps) rhs))) (compute-rule-method cps) (set-operator-rewrite-rule *current-module* cps) (adjoin-axiom-to-module *current-module* cps) (setq applied (nconc applied (list cps)))) (when applied (setf (goal-assumptions goal) (nconc (goal-assumptions goal) (nreverse applied))) (format t "~%[cp] added cp ~a~p to goal ~s: " type (length applied) (goal-name goal)) (let ((*print-indent* (+ 2 *print-indent*))) (dolist (ax applied) (print-next) (print-axiom-brief ax))) (when *citp-verbose* (pr-goal goal))))))) ;;; =================================================== ;;; {:red | :exec | :bred} [in : ] . ;;; =================================================== ;;; reduce-in-goal : List( mode goal-name token-seq) ;;; (defun reduce-in-goal (mode goal-name token-seq) (with-citp-debug () (format t "~%~s in ~s : ~s" (string mode) goal-name token-seq)) (let ((next-goal-node (get-target-goal-node goal-name))) ;; do rewriting (perform-reduction* token-seq (goal-context (ptree-node-goal next-goal-node)) mode))) ;;; =========== ;;; TACTIC: :NF ;;; explicit application of NF (compute normal form of targets). ;;; ;;; =========== (defun apply-nf (ptree-node &rest ignore) (declare (type ptree-node ptree-node) (ignore ignore)) (let ((.cur-goal. (ptree-node-goal ptree-node))) (when (goal-is-discharged .cur-goal.) (with-output-chaos-warning () (format t "** The goal ~s has already been proved!." (goal-name .cur-goal.))) (return-from apply-nf nil)) (with-citp-env () (with-spoiler-on () (with-in-module ((goal-context .cur-goal.)) (let ((n-targets nil) (applied nil)) ;; normalize goal sentences (dolist (sen (goal-targets .cur-goal.)) (multiple-value-bind (ngoal app?) (normalize-sentence sen *current-module*) (if app? (progn (setq applied t) (push ngoal n-targets)) (push sen n-targets)))) (when applied (let ((next-goal (prepare-next-goal ptree-node 'nf))) (setf (goal-targets next-goal) (nreverse n-targets)) (return-from apply-nf (values t (list next-goal))))) (values nil nil))))))) ;;; =========== ;;; TACTIC: :CT ;;; do contradiction check, can dischage the goal ;;; =========== (defun apply-ct (ptree-node &rest ignore) (declare (type ptree-node ptree-node) (ignore ignore)) (let ((.cur-goal. (ptree-node-goal ptree-node))) (when (goal-is-discharged .cur-goal.) (with-output-chaos-warning () (format t "** The goal ~s has already been proved!." (goal-name .cur-goal.))) (return-from apply-ct nil)) ;; (with-in-module ((goal-context .cur-goal.)) (with-citp-env () (with-spoiler-on () (when (check-contradiction .cur-goal. 'ct) (with-in-module ((goal-context .cur-goal.)) (format t "%[ct] dischaged:") (dolist (target (goal-targets .cur-goal.)) (print-next) (print-axiom-brief target)) (setf (goal-proved .cur-goal.) (goal-targets .cur-goal.)) (setf (goal-targets .cur-goal.) nil))))) t))) ;;; ============== ;;; :ctf or :ctf- ;;; ============== (defun make-ctf-constructor-pattern (const-op) (when (method-arity const-op) (with-output-chaos-warning () (format t "Only constant constructors are supported. Sorry!") (return-from make-ctf-constructor-pattern nil))) (make-applform-simple (method-coarity const-op) const-op nil)) (defun do-apply-ctf-with-constructors (cur-node term tactic) (let ((cur-goal (ptree-node-goal cur-node)) (sort (term-sort term)) (goals nil)) (let ((constructors (find-sort-constructors-in *current-module* sort))) (unless constructors (with-output-chaos-error ('no-constructors) (format t "Sort ~a has no constructors." (sort-name sort)))) (dolist (const (sort constructors #'(lambda (x y) (let ((prec (op-lex-precedence x y))) (if (eq prec :greater) t nil))))) (let ((n-goal nil) (const-pat (make-ctf-constructor-pattern const))) (when const-pat (setq n-goal (prepare-next-goal cur-node tactic)) (with-in-module ((goal-context n-goal)) (multiple-value-bind (lhs rhs type) (if (sort= (term-sort term) *bool-sort*) (simplify-boolean-axiom term const-pat) (values term const-pat :equation)) (when lhs (let ((ax (make-rule :lhs lhs :rhs rhs :condition *bool-true* :type type :labels (list (tactic-name tactic)) :behavioural nil))) (adjoin-axiom-to-module *current-module* ax) (set-operator-rewrite-rule *current-module* ax) (compile-module *current-module*) (push n-goal goals) (setf (goal-targets n-goal) (goal-targets cur-goal)) (setf (goal-assumptions n-goal) (append (goal-assumptions cur-goal) (list ax)))))))))) (with-citp-debug () (format t "~%ctf to constructors generated:") (dolist (g (reverse goals)) (print-next) (pr-goal g))) (if goals (values t (nreverse goals)) (values nil nil))))) (defun do-apply-ctf-to-equation (cur-node equation tactic) (let ((cur-goal (ptree-node-goal cur-node))) (flet ((add-assumption (goal lhs rhs) (let (n-axiom) (multiple-value-bind (n-lhs n-rhs type) (simplify-boolean-axiom lhs rhs) (cond (n-lhs (setq n-axiom (make-rule :lhs n-lhs :rhs n-rhs :condition *bool-true* :type type :behavioural nil :labels (list(tactic-name tactic)))) (with-in-module ((goal-context goal)) (adjoin-axiom-to-module *current-module* n-axiom) (set-operator-rewrite-rule *current-module* n-axiom) (compile-module *current-module*)) (setf (goal-targets goal) (goal-targets cur-goal)) (setf (goal-assumptions goal) (append (goal-assumptions cur-goal) (list n-axiom)))) (t (with-output-chaos-warning () (format t "[ctf] invalid assumption") (print-next) (print-axiom-brief equation) (print-next) (format t "...ignored.") nil))))))) (let ((t-goal (prepare-next-goal cur-node tactic)) (f-goal (prepare-next-goal cur-node tactic))) (with-in-module ((goal-context cur-goal)) (let ((lhs (make-applform-simple *bool-sort* *eql-op* (list (rule-lhs equation) (rule-rhs equation))))) ;; true case (unless (add-assumption t-goal lhs *bool-true*) (setq t-goal nil)) ;; false case (unless (add-assumption f-goal lhs *bool-false*) (setq f-goal nil)))) (with-citp-debug () (format t "~%citp from equation: generated") (print-next) (when t-goal (pr-goal t-goal)) (when f-goal (pr-goal f-goal))) (if (and t-goal f-goal) (values t (list t-goal f-goal)) (if t-goal (values t (list t-goal)) (if f-goal (values t (list f-goal)) (values nil nil)))))))) (defun parse-axiom-or-term (form term?) (if term? (let ((*parse-variables* nil)) (let ((res (simple-parse *current-module* form *cosmos*))) res)) (parse-axiom-declaration (parse-module-element-1 form)))) (defun do-apply-ctf (cur-node term-or-equation &optional (tactic .tactic-ctf.)) (with-citp-env () (let ((cur-goal (ptree-node-goal cur-node))) (when (already-proved? cur-goal) (return-from do-apply-ctf nil)) (if (termp term-or-equation) (do-apply-ctf-with-constructors cur-node term-or-equation tactic) (do-apply-ctf-to-equation cur-node term-or-equation tactic))))) ;;; :ctf(-) toplevel function ;;; (defun apply-ctf (s-form term? dash? &optional (verbose *citp-verbose*)) (let ((ptree-node (get-next-proof-context *proof-tree*))) (with-in-module ((goal-context (ptree-node-goal ptree-node))) (with-citp-env () (let ((form (parse-axiom-or-term s-form term?))) (multiple-value-bind (applied next-goals) (do-apply-ctf ptree-node form) (declare (ignore applied)) (unless next-goals (return-from apply-ctf nil)) (format t "~%** Generated ~d goal~p" (length next-goals) (length next-goals)) (when *citp-spoiler* ;; apply implicit rd (dolist (ngoal next-goals) (do-apply-rd ngoal nil .tactic-ctf.) (when (and dash? (goal-targets ngoal)) ;; reset target (setf (goal-targets ngoal) (goal-targets (ptree-node-goal ptree-node)))))) ;; add generated nodes as children (add-ptree-children ptree-node next-goals) (when verbose (dolist (gn (ptree-node-subnodes ptree-node)) (pr-goal (ptree-node-goal gn)))) (ptree-node-subnodes ptree-node))))))) ;;;===================== ;;; :defined :ctf, :ctf- ;;;===================== (defun apply-ctf-tactic (ptree-node tactic) (declare (type ptree-node ptree-node) (type tactic-ctf tactic)) (let ((goal (ptree-node-goal ptree-node))) (with-in-module ((goal-context goal)) (multiple-value-bind (applied next-goals) (do-apply-ctf ptree-node (tactic-ctf-form tactic) tactic) (declare (ignore applied)) (unless next-goals (return-from apply-ctf-tactic nil)) (when *citp-spoiler* ;; apply implicit rd (dolist (ngoal next-goals) (do-apply-rd ngoal nil tactic) (when (and (tactic-ctf-minus tactic) (goal-targets ngoal)) ;; reset target (setf (goal-targets ngoal) (goal-targets goal))))) (values t next-goals))))) ;;;============== ;;; :csp or :csp- ;;;============== (defun do-apply-csp (cur-node axs &optional (tactic .tactic-csp.)) (unless (already-proved? cur-node) (let ((cur-goal (ptree-node-goal cur-node)) (ngoals nil)) ;; add given assumptions with generating child nodes (dolist (ax (mapcar #'(lambda (x) (rule-copy-canonicalized x (goal-context cur-goal) (tactic-name tactic))) axs)) (let ((n-goal (prepare-next-goal cur-node tactic))) (with-in-module ((goal-context n-goal)) (adjoin-axiom-to-module *current-module* ax) (set-operator-rewrite-rule *current-module* ax) (compile-module *current-module*)) (setf (goal-targets n-goal) (goal-targets cur-goal)) (setf (goal-assumptions n-goal) (append (goal-assumptions cur-goal) (list ax))) (push n-goal ngoals))) (with-citp-debug () (format t "~%~a generated:" (tactic-name tactic)) (dolist (g (reverse ngoals)) (print-next) (pr-goal g))) (values t (nreverse ngoals))))) (defun apply-csp (ax-forms dash? &optional (verbose *citp-verbose*)) (let ((ptree-node (get-next-proof-context *proof-tree*))) (with-in-module ((goal-context (ptree-node-goal ptree-node))) (with-citp-env () (let ((axs nil)) (dolist (ax ax-forms) (push (parse-axiom-declaration (parse-module-element-1 ax)) axs)) (multiple-value-bind (applied next-goals) (do-apply-csp ptree-node (nreverse axs)) (declare (ignore applied)) (unless next-goals (return-from apply-csp nil)) (format t "~%** Generated ~d goal~p" (length next-goals) (length next-goals)) (when-spoiler-on () ;; apply implicit rd (dolist (ngoal next-goals) (do-apply-rd ngoal nil .tactic-csp.) (when (and dash? (goal-targets ngoal)) ;; reset target (setf (goal-targets ngoal) (goal-targets (ptree-node-goal ptree-node)))))) ;; add generated node as children (add-ptree-children ptree-node next-goals) (when verbose (dolist (gn (ptree-node-subnodes ptree-node)) (pr-goal (ptree-node-goal gn)))) (ptree-node-subnodes ptree-node))))))) ;;;===================== ;;; :defined :csp, :csp- ;;;===================== (defun apply-csp-tactic (ptree-node tactic) (declare (type ptree-node ptree-node) (type tactic-csp tactic)) (let ((goal (ptree-node-goal ptree-node))) (with-in-module ((goal-context goal)) (with-citp-env () (multiple-value-bind (applied next-goals) (do-apply-csp ptree-node (tactic-csp-forms tactic) tactic) (declare (ignore applied)) (unless next-goals (return-from apply-csp-tactic nil)) (when-spoiler-on () ;; apply implicit rd (dolist (ngoal next-goals) (do-apply-rd ngoal nil tactic) (when (and (tactic-csp-minus tactic) (goal-targets ngoal)) ;; reset target (setf (goal-targets ngoal) (goal-targets goal))))) (values t next-goals)))))) ;;; ----------------------------------------------------------- ;;; report-citp-stat ;;; (defun report-citp-stat () (when *show-stats* (format t "~%~a" (generate-statistics-form-rewriting-only)))) ;;; ****** ;;; :apply ;;; ****** ;;; APPLY-TACTIC ;;; apply-tactic : ptree-node tactic -> List(ptree-node) ;;; returns the list of generated goal nodes. ;;; (defun apply-tactic (ptree-node tactic &optional (verbose nil)) (declare (type ptree-node ptree-node) (type tactic tactic)) (with-citp-env () (when (goal-is-discharged (ptree-node-goal ptree-node)) (with-output-chaos-warning () (format t "** The goal ~s has already been proved!." (goal-name (ptree-node-goal ptree-node))) (return-from apply-tactic nil))) (format t "~%[~a]=> :goal{~a}" (tactic-name tactic) (goal-name (ptree-node-goal ptree-node))) (initialize-ptree-node ptree-node) (compile-module (goal-context (ptree-node-goal ptree-node)) t) (with-citp-debug () (let ((exe (tactic-executor tactic))) (format t "~%Funcalling ~a" exe))) (multiple-value-bind (applied next-goals) (funcall (tactic-executor tactic) ptree-node tactic) (declare (type (or null t) applied) (type list next-goals)) (unless applied (return-from apply-tactic nil)) (unless next-goals ;; reset the current ptree-node status, ;; i.e., cancel side effects (initialize-ptree-node ptree-node) (return-from apply-tactic nil)) (format t "~%** Generated ~d goal~p" (length next-goals) (length next-goals)) (add-ptree-children ptree-node next-goals) (when verbose (dolist (gn (ptree-node-subnodes ptree-node)) (pr-goal (ptree-node-goal gn)))) (ptree-node-subnodes ptree-node)))) ;;; apply-tactics-to-node ;;; (defun apply-tactics-to-node (target-node tactics &optional (verbose *citp-verbose*)) (declare (type ptree-node target-node)) (unless tactics (return-from apply-tactics-to-node nil)) (let ((subs (apply-tactic target-node (car tactics) verbose))) (if subs (dolist (target subs) (apply-tactics-to-node target (cdr tactics) verbose)) (apply-tactics-to-node target-node (cdr tactics) verbose)))) ;;; apply-tactic-seq ;;; user defined sequence of tactic ;;; (defun apply-tactic-seq (ptree-node tactic &optional (verbose *citp-verbose*)) (declare (type ptree-node ptree-node) (type tactic-seq tactic)) (apply-tactics-to-node ptree-node (tactic-seq-tactics tactic) verbose)) ;;; apply-tactics ;;; (defun flatten-tactic-seq (tactics) (let ((res nil)) (dolist (tactic tactics) (if (tactic-seq-p tactic) (setq res (nconc res (flatten-tactic-seq (tactic-seq-tactics tactic)))) (setq res (nconc res (list tactic))))) res)) (defun apply-tactics (ptree tactics &optional (verbose *citp-verbose*)) (declare (type ptree ptree) (type list tactics)) (let ((target (get-next-proof-context ptree))) (unless target (format t "~%**> All goals have been proved!") (return-from apply-tactics nil)) (reset-rewrite-counters) (begin-rewrite) (apply-tactics-to-node target (flatten-tactic-seq tactics) verbose) (end-rewrite) (report-citp-stat) (check-success ptree))) ;;; apply-auto ;;; (defun apply-auto (ptree &optional (tactics .default-tactics.) (verbose *citp-verbose*)) (with-citp-env () (with-spoiler-on () (reset-rewrite-counters) (begin-rewrite) (if (next-proof-target-is-specified?) (apply-tactics-to-node (get-next-proof-context ptree) tactics verbose) (let ((target-nodes (get-unproved-nodes ptree))) (unless target-nodes (format t "~%**> All goals have been proved!") (return-from apply-auto nil)) (dolist (tactic tactics) (dolist (target-node (get-unproved-nodes ptree)) (apply-tactic target-node tactic verbose))))) (end-rewrite) (report-citp-stat) (check-success ptree)))) ;;; apply-tactics-to-goal ;;; (defun apply-tactics-to-goal (ptree name tactics &optional (verbose *citp-verbose*)) (let ((target-node (find-goal-node ptree name))) (unless target-node (with-output-chaos-error ('no-named-goal) (format t "There is no goal with name ~s." name))) (reset-rewrite-counters) (begin-rewrite) (apply-tactics-to-node target-node tactics verbose) (end-rewrite) (report-citp-stat) (check-success ptree))) ;;; EOF cafeobj-1.5.4/thstuff/citp.lisp0000644000000000000000000004700012610670557015135 0ustar rootroot;;;-*-Mode:LISP; Package: CHAOS; Base:10; Syntax:Common-lisp -*- ;;; ;;; Copyright (c) 2000-2015, Toshimi Sawada. All rights reserved. ;;; ;;; Redistribution and use in source and binary forms, with or without ;;; modification, are permitted provided that the following conditions ;;; are met: ;;; ;;; * Redistributions of source code must retain the above copyright ;;; notice, this list of conditions and the following disclaimer. ;;; ;;; * Redistributions in binary form must reproduce the above ;;; copyright notice, this list of conditions and the following ;;; disclaimer in the documentation and/or other materials ;;; provided with the distribution. ;;; ;;; THIS SOFTWARE IS PROVIDED BY THE AUTHOR 'AS IS' AND ANY EXPRESSED ;;; OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED ;;; WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ;;; ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY ;;; DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL ;;; DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE ;;; GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS ;;; INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, ;;; WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING ;;; NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS ;;; SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. ;;; (in-package :chaos) #|============================================================================= System:CHAOS Module:thstuff File:citp.lisp =============================================================================|# #-:chaos-debug (declaim (optimize (speed 3) (safety 0) #-GCL (debug 0))) #+:chaos-debug (declaim (optimize (speed 1) (safety 3) #-GCL (debug 3))) (defun check-context-module () (unless *current-module* (with-output-chaos-error ('no-context) (format t "No context module is specified, please 'select' or 'open' a module.")))) (defun check-ptree () (unless *proof-tree* (with-output-chaos-error ('no-proof-tree) (format t "No proof is ongoing.")))) (defun check-context-module-and-ptree () (check-context-module) (check-ptree)) ;;; ============================ ;;; CITP related command parsers ;;; ============================ ;;; ;;; :goal { . . .... . } ;;; (defun citp-parse-goal (args) (let ((ax-decls nil)) (dolist (elem (third args)) (push (parse-module-element-1 elem) ax-decls)) (nreverse ax-decls))) ;;; ;;; :apply [to ] ( ...) ;;; ;;; (":apply" ("(" ("tc" "rd" "si") ")")) ;;; (":apply" ("to" ("1-1-1")) ("(" ("RD") ")")) ;;; (defun citp-parse-apply (args) (let ((tactic-forms nil) (tactics nil) (target nil)) (cond ((string-equal (car (second args)) "to") (setq target (car (second (second args)))) (setq tactic-forms (second (third args)))) (t (setq tactic-forms (second (second args))))) (dolist (tac tactic-forms) (let ((tactic (get-tactic tac))) (setq tactics (nconc tactics tactic)))) (cons target tactics))) ;;; citp-parse-ind-on ;;; :ind on (var ... var) ;;; (":ind" "on" "(" ("M:S-1" ... "N:S-N") ")") ;;; (defun citp-parse-ind-on (args) (check-context-module) (with-in-module (*current-module*) (let ((vars nil)) (dolist (var-decl (fourth args)) (let ((var (simple-parse-from-string var-decl))) (when (term-ill-defined var) (with-output-chaos-error ('no-parse) (format t "Illegal variable form: ~s" var-decl))) (unless (term-is-variable? var) (with-output-chaos-error ('no-var) (format t "Invalid argument to ':ind' command: ~s" var-decl))) (push var vars))) (nreverse vars)))) ;;; ;;; :auto ;;; (defun citp-parse-auto (args) (declare (ignore args)) (cons :auto (get-default-tactics))) ;;; ;;; :roll back ;;; (defun citp-parse-roll-back (args) (declare (ignore args)) :roll-back) ;;; ;;; :init {[

 

Abstract

CL-PPCRE is a portable regular expression library for Common Lisp which has the following features: CL-PPCRE has been used successfully in various applications like BioBike, clutu, LoGS, CafeSpot, Eboy, or The Regex Coach.

Download shortcut: http://weitz.de/files/cl-ppcre.tar.gz.


 

Contents

  1. Download and installation
  2. Support and mailing lists
  3. The CL-PPCRE dictionary
    1. Scanning
      1. create-scanner (for Perl regex strings)
      2. create-scanner (for parse trees)
      3. scan
      4. scan-to-strings
      5. register-groups-bind
      6. do-scans
      7. do-matches
      8. do-matches-as-strings
      9. do-register-groups
      10. all-matches
      11. all-matches-as-strings
    2. Splitting and replacing
      1. split
      2. regex-replace
      3. regex-replace-all
    3. Modifying scanner behaviour
      1. *property-resolver*
      2. parse-tree-synonym
      3. define-parse-tree-synonym
      4. *regex-char-code-limit*
      5. *use-bmh-matchers*
      6. *optimize-char-classes*
      7. *allow-quoting*
      8. *allow-named-registers*
    4. Miscellaneous
      1. parse-string
      2. create-optimized-test-function
      3. quote-meta-chars
      4. regex-apropos
      5. regex-apropos-list
    5. Conditions
      1. ppcre-error
      2. ppcre-invocation-error
      3. ppcre-syntax-error
      4. ppcre-syntax-error-string
      5. ppcre-syntax-error-pos
  4. Unicode properties
    1. unicode-property-resolver
  5. Filters
  6. Compatibility with Perl
    1. Empty strings instead of undef in $1, $2, etc.
    2. Strange scoping of embedded modifiers
    3. Inconsistent capturing of $1, $2, etc.
    4. Captured groups not available outside of look-aheads and look-behinds
    5. Alternations don't always work from left to right
    6. Different names for Unicode properties
    7. "\r" doesn't work with MCL
    8. What about "\w"?
  7. Bugs and problems
    1. "\Q" doesn't work, or does it?
    2. Backslashes may confuse you...
  8. AllegroCL compatibility mode
  9. Hints, comments, performance considerations
  10. Acknowledgements

 

Download and installation

CL-PPCRE together with this documentation can be downloaded from http://weitz.de/files/cl-ppcre.tar.gz. The current version is 2.0.4.

CL-PPCRE comes with a system definition for ASDF and you compile and load it in the usual way. There are no dependencies (except that the test suite which is not needed for normal operation depends on FLEXI-STREAMS).

The preferred way to install CL-PPCRE is through Quicklisp: 

(ql:quickload :cl-ppcre)

You can run a test suite which tests most aspects of the library with 

(asdf:oos 'asdf:test-op :cl-ppcre)

The current development version of CL-PPCRE can be found at http://bknr.net/trac/browser/trunk/thirdparty. This is the one to send patches against. Use at your own risk.

Luís Oliveira maintains an unofficial darcs repository of CL-PPCRE at http://common-lisp.net/~loliveira/ediware/.
 

Support and mailing lists

For questions, bug reports, feature requests, improvements, or patches please use the cl-ppcre-devel mailing list. If you want to be notified about future releases, subscribe to the cl-ppcre-announce mailing list. These mailing lists were made available thanks to the services of common-lisp.net. Terrence Brannon has created a Google group for the list which is at http://groups.google.com/group/cl-ppcre.

If you want to send patches, please read this first.
 

The CL-PPCRE dictionary

Scanning


[Method]
create-scanner (string string)&key case-insensitive-mode multi-line-mode single-line-mode extended-mode destructive => scanner, register-names


Accepts a string which is a regular expression in Perl syntax and returns a closure which will scan strings for this regular expression. The second value is only returned if *ALLOW-NAMED-REGISTERS* is true. It represents a list of strings mapping registers to their respective names - the first element stands for first register, the second element for second register, etc. You have to store this value if you want to map a register number to its name later as scanner doesn't capture any information about register names. If a register isn't named, it has NIL as its name.

The mode keyword arguments are equivalent to the "imsx" modifiers in Perl. The destructive keyword will be ignored.

The function accepts most of the regex syntax of Perl 5.8 as described in man perlre including extended features like non-greedy repetitions, positive and negative look-ahead and look-behind assertions, "standalone" subexpressions, and conditional subpatterns. The following Perl features are (currently) not supported:

  • (?{ code }) and (??{ code }) because they obviously don't make sense in Lisp.
  • \N{name} (named characters), \x{263a} (wide hex characters), \l, \u, \L, and \U because they're actually not part of Perl's regex syntax - but see CL-INTERPOL.
  • \X (extended Unicode), and \C (single character). But you can of course use all characters supported by your CL implementation.
  • Posix character classes like [[:alpha]]. Use Unicode properties instead.
  • \G for Perl's pos() because we don't have it.
Note, however, that \t, \n, \r, \f, \a, \e, \033 (octal character codes), \x1B (hexadecimal character codes), \c[ (control characters), \w, \W, \s, \S, \d, \D, \b, \B, \A, \Z, and \z are supported.

Since version 0.6.0, CL-PPCRE also supports Perl's \Q and \E - see *ALLOW-QUOTING* below. Make sure you also read the relevant section in "Bugs and problems."

Since version 1.3.0, CL-PPCRE offers support for AllegroCL's (?<name>"<regex>") named registers and \k<name> back-references syntax, have a look at *ALLOW-NAMED-REGISTERS* for details.

Since version 2.0.0, CL-PPCRE supports named properties (\p and \P), but only the long form with braces is supported, i.e. \p{Letter} and \p{L} will work while \pL won't.

The keyword arguments are just for your convenience. You can always use embedded modifiers like "(?i-s)" instead.


[Method]
create-scanner (function function)&key case-insensitive-mode multi-line-mode single-line-mode extended-mode destructive => scanner


In this case function should be a scanner returned by another invocation of CREATE-SCANNER. It will be returned as is. You can't use any of the keyword arguments because the scanner has already been created and is immutable.


[Method]
create-scanner (parse-tree t)&key case-insensitive-mode multi-line-mode single-line-mode extended-mode destructive => scanner, register-names


This is similar to CREATE-SCANNER for regex strings above but accepts a parse tree as its first argument. A parse tree is an S-expression conforming to the following syntax:
  • Every string and character is a parse tree and is treated literally as a part of the regular expression, i.e. parentheses, brackets, asterisks and such aren't special.
  • The symbol :VOID is equivalent to the empty string.
  • The symbol :EVERYTHING is equivalent to Perl's dot, i.e it matches everything (except maybe a newline character depending on the mode).
  • The symbols :WORD-BOUNDARY and :NON-WORD-BOUNDARY are equivalent to Perl's "\b" and "\B".
  • The symbols :DIGIT-CLASS, :NON-DIGIT-CLASS, :WORD-CHAR-CLASS, :NON-WORD-CHAR-CLASS, :WHITESPACE-CHAR-CLASS, and :NON-WHITESPACE-CHAR-CLASS are equivalent to Perl's special character classes "\d", "\D", "\w", "\W", "\s", and "\S" respectively.
  • The symbols :START-ANCHOR, :END-ANCHOR, :MODELESS-START-ANCHOR, :MODELESS-END-ANCHOR, and :MODELESS-END-ANCHOR-NO-NEWLINE are equivalent to Perl's "^", "$", "\A", "\Z", and "\z" respectively.
  • The symbols :CASE-INSENSITIVE-P, :CASE-SENSITIVE-P, :MULTI-LINE-MODE-P, :NOT-MULTI-LINE-MODE-P, :SINGLE-LINE-MODE-P, and :NOT-SINGLE-LINE-MODE-P are equivalent to Perl's embedded modifiers "(?i)", "(?-i)", "(?m)", "(?-m)", "(?s)", and "(?-s)". As usual, changes applied to modes are kept local to the innermost enclosing grouping or clustering construct.
  • All other symbols will signal an error of type PPCRE-SYNTAX-ERROR unless they are defined to be parse tree synonyms.
  • (:FLAGS {<modifier>}*) where <modifier> is one of the modifier symbols from above is used to group modifier symbols. The modifiers are applied from left to right. (This construct is obviously redundant. It is only there because it's used by the parser.)
  • (:SEQUENCE {<parse-tree>}*) means a sequence of parse trees, i.e. the parse trees must match one after another. Example: (:SEQUENCE #\f #\o #\o) is equivalent to the parse tree "foo".
  • (:GROUP {<parse-tree>}*) is like :SEQUENCE but changes applied to modifier flags (see above) are kept local to the parse trees enclosed by this construct. Think of it as the S-expression variant of Perl's "(?:<pattern>)" construct.
  • (:ALTERNATION {<parse-tree>}*) means an alternation of parse trees, i.e. one of the parse trees must match. Example: (:ALTERNATION #\b #\a #\z) is equivalent to the Perl regex string "b|a|z".
  • (:BRANCH <test> <parse-tree>) is for conditional regular expressions. <test> is either a number which stands for a register or a parse tree which is a look-ahead or look-behind assertion. See the entry for (?(<condition>)<yes-pattern>|<no-pattern>) in man perlre for the semantics of this construct. If <parse-tree> is an alternation is must enclose exactly one or two parse trees where the second one (if present) will be treated as the "no-pattern" - in all other cases <parse-tree> will be treated as the "yes-pattern".
  • (:POSITIVE-LOOKAHEAD|:NEGATIVE-LOOKAHEAD|:POSITIVE-LOOKBEHIND|:NEGATIVE-LOOKBEHIND <parse-tree>) should be pretty obvious...
  • (:GREEDY-REPETITION|:NON-GREEDY-REPETITION <min> <max> <parse-tree>) where <min> is a non-negative integer and <max> is either a non-negative integer not smaller than <min> or NIL will result in a regular expression which tries to match <parse-tree> at least <min> times and at most <max> times (or as often as possible if <max> is NIL). So, e.g., (:NON-GREEDY-REPETITION 0 1 "ab") is equivalent to the Perl regex string "(?:ab)??".
  • (:STANDALONE <parse-tree>) is an "independent" subexpression, i.e. (:STANDALONE "bar") is equivalent to the Perl regex string "(?>bar)".
  • (:REGISTER <parse-tree>) is a capturing register group. As usual, registers are counted from left to right beginning with 1.
  • (:NAMED-REGISTER <name> <parse-tree>) is a named capturing register group. Acts as :REGISTER, but assigns <name> to a register too. This <name> can be later referred to via :BACK-REFERENCE. Names are case-sensitive and don't need to be unique. See *ALLOW-NAMED-REGISTERS* for details.
  • (:BACK-REFERENCE <ref>) is a back-reference to a register group. <ref> is a positive integer or a string denoting a register name. If there are several registers with the same name, the regex engine tries to successfully match at least of them, starting with the most recently seen register continuing to the least recently seen one, until a match is found. See *ALLOW-NAMED-REGISTERS* for more information.
  • (:PROPERTY|:INVERTED-PROPERTY <property>) is a named property (or its inverse) with <property> being a function designator or a string which must be resolved by *PROPERTY-RESOLVER*.
  • (:FILTER <function> &optional <length>) where <function> is a function designator and <length> is a non-negative integer or NIL is a user-defined filter.
  • (:REGEX <string>) where <string> is an embedded regular expression in Perl syntax.
  • (:CHAR-CLASS|:INVERTED-CHAR-CLASS {<item>}*) where <item> is either a character, a character range, a named property (see above), or a symbol for a special character class (see above) will be translated into a (one character wide) character class. A character range looks like (:RANGE <char1> <char2>) where <char1> and <char2> are characters such that (CHAR<= <char1> <char2>) is true. Example: (:INVERTED-CHAR-CLASS #\a (:RANGE #\D #\G) :DIGIT-CLASS) is equivalent to the Perl regex string "[^aD-G\d]".
Because CREATE-SCANNER is defined as a generic function which dispatches on its first argument there's a certain ambiguity: Although strings are valid parse trees they will be interpreted as Perl regex strings when given to CREATE-SCANNER. To circumvent this you can always use the equivalent parse tree (:GROUP <string>) instead.

Note that CREATE-SCANNER doesn't always check for the well-formedness of its first argument, i.e. you are expected to provide correct parse trees.

The usage of the keyword argument extended-mode obviously doesn't make sense if CREATE-SCANNER is applied to parse trees and will signal an error.

If destructive is not NIL (the default is NIL), the function is allowed to destructively modify parse-tree while creating the scanner.

If you want to find out how parse trees are related to Perl regex strings, you should play around with PARSE-STRING: 

* (parse-string "(ab)*")
(:GREEDY-REPETITION 0 NIL (:REGISTER "ab"))

* (parse-string "(a(b))")
(:REGISTER (:SEQUENCE #\a (:REGISTER #\b)))

* (parse-string "(?:abc){3,5}")
(:GREEDY-REPETITION 3 5 (:GROUP "abc"))
;; (:GREEDY-REPETITION 3 5 "abc") would also be OK

* (parse-string "a(?i)b(?-i)c")
(:SEQUENCE #\a
 (:SEQUENCE (:FLAGS :CASE-INSENSITIVE-P)
  (:SEQUENCE #\b (:SEQUENCE (:FLAGS :CASE-SENSITIVE-P) #\c))))
;; same as (:SEQUENCE #\a :CASE-INSENSITIVE-P #\b :CASE-SENSITIVE-P #\c)

* (parse-string "(?=a)b")
(:SEQUENCE (:POSITIVE-LOOKAHEAD #\a) #\b)


For the rest of the dictionary, regex can always be a string (which is interpreted as a Perl regular expression), a parse tree, or a scanner created by CREATE-SCANNER. The start and end keyword parameters are always used as in SCAN.


[Generic Function]
scan regex target-string &key start end => match-start, match-end, reg-starts, reg-ends


Searches the string target-string from start (which defaults to 0) to end (which default to the length of target-string) and tries to match regex. On success returns four values - the start of the match, the end of the match, and two arrays denoting the beginnings and ends of register matches. On failure returns NIL. target-string will be coerced to a simple string if it isn't one already. (There's another keyword parameter real-start-pos. This one should never be set from user code - it is only used internally.)

SCAN acts as if the part of target-string between start and end were a standalone string, i.e. look-aheads and look-behinds can't look beyond these boundaries. 

* (scan "(a)*b" "xaaabd")
1
5
#(3)
#(4)

* (scan "(a)*b" "xaaabd" :start 1)
1
5
#(3)
#(4)

* (scan "(a)*b" "xaaabd" :start 2)
2
5
#(3)
#(4)

* (scan "(a)*b" "xaaabd" :end 4)
NIL

* (scan '(:greedy-repetition 0 nil #\b) "bbbc")
0
3
#()
#()

* (scan '(:greedy-repetition 4 6 #\b) "bbbc")
NIL

* (let ((s (create-scanner "(([a-c])+)x")))
    (scan s "abcxy"))
0
4
#(0 2)
#(3 3)


[Function]
scan-to-strings regex target-string &key start end sharedp => match, regs


Like SCAN but returns substrings of target-string instead of positions, i.e. this function returns two values on success: the whole match as a string plus an array of substrings (or NILs) corresponding to the matched registers. If sharedp is true, the substrings may share structure with target-string. 
* (scan-to-strings "[^b]*b" "aaabd")
"aaab"
#()

* (scan-to-strings "([^b])*b" "aaabd")
"aaab"
#("a")

* (scan-to-strings "(([^b])*)b" "aaabd")
"aaab"
#("aaa" "a")


[Macro]
register-groups-bind var-list (regex target-string &key start end sharedp) declaration* statement* => result*


Evaluates statement* with the variables in var-list bound to the corresponding register groups after target-string has been matched against regex, i.e. each variable is either bound to a string or to NIL. As a shortcut, the elements of var-list can also be lists of the form (FN VAR) where VAR is the variable symbol and FN is a function designator (which is evaluated) denoting a function which is to be applied to the string before the result is bound to VAR. To make this even more convenient the form (FN VAR1 ...VARn) can be used as an abbreviation for (FN VAR1) ... (FN VARn).

If there is no match, the statement* forms are not executed. For each element of var-list which is NIL there's no binding to the corresponding register group. The number of variables in var-list must not be greater than the number of register groups. If sharedp is true, the substrings may share structure with target-string. 

* (register-groups-bind (first second third fourth)
      ("((a)|(b)|(c))+" "abababc" :sharedp t)
    (list first second third fourth))
("c" "a" "b" "c")

* (register-groups-bind (nil second third fourth)
      ;; note that we don't bind the first and fifth register group
      ("((a)|(b)|(c))()+" "abababc" :start 6)
    (list second third fourth))
(NIL NIL "c")

* (register-groups-bind (first)
      ("(a|b)+" "accc" :start 1)
    (format t "This will not be printed: ~A" first))
NIL

* (register-groups-bind (fname lname (#'parse-integer date month year))
      ("(\\w+)\\s+(\\w+)\\s+(\\d{1,2})\\.(\\d{1,2})\\.(\\d{4})" "Frank Zappa 21.12.1940")
    (list fname lname (encode-universal-time 0 0 0 date month year 0)))
("Frank" "Zappa" 1292889600)


[Macro]
do-scans (match-start match-end reg-starts reg-ends regex target-string &optional result-form &key start end) declaration* statement* => result*


A macro which iterates over target-string and tries to match regex as often as possible evaluating statement* with match-start, match-end, reg-starts, and reg-ends bound to the four return values of each match (see SCAN) in turn. After the last match, returns result-form if provided or NIL otherwise. An implicit block named NIL surrounds DO-SCANS; RETURN may be used to terminate the loop immediately. If regex matches an empty string, the scan is continued one position behind this match.

This is the most general macro to iterate over all matches in a target string. See the source code of DO-MATCHES, ALL-MATCHES, SPLIT, or REGEX-REPLACE-ALL for examples of its usage.


[Macro]
do-matches (match-start match-end regex target-string &optional result-form &key start end) declaration* statement* => result*


Like DO-SCANS but doesn't bind variables to the register arrays. 
* (defun foo (regex target-string &key (start 0) (end (length target-string)))
    (let ((sum 0))
      (do-matches (s e regex target-string nil :start start :end end)
        (incf sum (- e s)))
      (format t "~,2F% of the string was inside of a match~%"
                ;; note: doesn't check for division by zero
                (float (* 100 (/ sum (- end start)))))))

FOO

* (foo "a" "abcabcabc")
33.33% of the string was inside of a match
NIL
* (foo "aa|b" "aacabcbbc")
55.56% of the string was inside of a match
NIL


[Macro]
do-matches-as-strings (match-var regex target-string &optional result-form &key start end sharedp) declaration* statement* => result*


Like DO-MATCHES but binds match-var to the substring of target-string corresponding to each match in turn. If sharedp is true, the substrings may share structure with target-string. 
* (defun crossfoot (target-string &key (start 0) (end (length target-string)))
    (let ((sum 0))
      (do-matches-as-strings (m :digit-class
                                         target-string nil
                                         :start start :end end)
        (incf sum (parse-integer m)))
      (if (< sum 10)
        sum
        (crossfoot (format nil "~A" sum)))))

CROSSFOOT

* (crossfoot "bar")
0

* (crossfoot "a3x")
3

* (crossfoot "12345")
6
Of course, in real life you would do this with DO-MATCHES and use the start and end keyword parameters of PARSE-INTEGER.


[Macro]
do-register-groups var-list (regex target-string &optional result-form &key start end sharedp) declaration* statement* => result*


Iterates over target-string and tries to match regex as often as possible evaluating statement* with the variables in var-list bound to the corresponding register groups for each match in turn, i.e. each variable is either bound to a string or to NIL. You can use the same shortcuts and abbreviations as in REGISTER-GROUPS-BIND. The number of variables in var-list must not be greater than the number of register groups. For each element of var-list which is NIL there's no binding to the corresponding register group. After the last match, returns result-form if provided or NIL otherwise. An implicit block named NIL surrounds DO-REGISTER-GROUPS; RETURN may be used to terminate the loop immediately. If regex matches an empty string, the scan is continued one position behind this match. If sharedp is true, the substrings may share structure with target-string. 
* (do-register-groups (first second third fourth)
      ("((a)|(b)|(c))" "abababc" nil :start 2 :sharedp t)
    (print (list first second third fourth)))
("a" "a" NIL NIL) 
("b" NIL "b" NIL) 
("a" "a" NIL NIL) 
("b" NIL "b" NIL) 
("c" NIL NIL "c")
NIL

* (let (result)
    (do-register-groups ((#'parse-integer n) (#'intern sign) whitespace)
        ("(\\d+)|(\\+|-|\\*|/)|(\\s+)" "12*15 - 42/3")
      (unless whitespace
        (push (or n sign) result)))
    (nreverse result))
(12 * 15 - 42 / 3)


[Function]
all-matches regex target-string &key start end => list


Returns a list containing the start and end positions of all matches of regex against target-string, i.e. if there are N matches the list contains (* 2 N) elements. If regex matches an empty string the scan is continued one position behind this match. 
* (all-matches "a" "foo bar baz")
(5 6 9 10)

* (all-matches "\\w*" "foo bar baz")
(0 3 3 3 4 7 7 7 8 11 11 11)


[Function]
all-matches-as-strings regex target-string &key start end sharedp => list


Like ALL-MATCHES but returns a list of substrings instead. If sharedp is true, the substrings may share structure with target-string. 
* (all-matches-as-strings "a" "foo bar baz")
("a" "a")

* (all-matches-as-strings "\\w*" "foo bar baz")
("foo" "" "bar" "" "baz" "")

Splitting and replacing


[Function]
split regex target-string &key start end limit with-registers-p omit-unmatched-p sharedp => list


Matches regex against target-string as often as possible and returns a list of the substrings between the matches. If with-registers-p is true, substrings corresponding to matched registers are inserted into the list as well. If omit-unmatched-p is true, unmatched registers will simply be left out, otherwise they will show up as NIL. limit limits the number of elements returned - registers aren't counted. If limit is NIL (or 0 which is equivalent), trailing empty strings are removed from the result list. If regex matches an empty string, the scan is continued one position behind this match. If sharedp is true, the substrings may share structure with target-string.

This function also tries hard to be Perl-compatible - thus the somewhat peculiar behaviour. 

* (split "\\s+" "foo   bar baz
frob")
("foo" "bar" "baz" "frob")

* (split "\\s*" "foo bar   baz")
("f" "o" "o" "b" "a" "r" "b" "a" "z")

* (split "(\\s+)" "foo bar   baz")
("foo" "bar" "baz")

* (split "(\\s+)" "foo bar   baz" :with-registers-p t)
("foo" " " "bar" "   " "baz")

* (split "(\\s)(\\s*)" "foo bar   baz" :with-registers-p t)
("foo" " " "" "bar" " " "  " "baz")

* (split "(,)|(;)" "foo,bar;baz" :with-registers-p t)
("foo" "," NIL "bar" NIL ";" "baz")

* (split "(,)|(;)" "foo,bar;baz" :with-registers-p t :omit-unmatched-p t)
("foo" "," "bar" ";" "baz")

* (split ":" "a:b:c:d:e:f:g::")
("a" "b" "c" "d" "e" "f" "g")

* (split ":" "a:b:c:d:e:f:g::" :limit 1)
("a:b:c:d:e:f:g::")

* (split ":" "a:b:c:d:e:f:g::" :limit 2)
("a" "b:c:d:e:f:g::")

* (split ":" "a:b:c:d:e:f:g::" :limit 3)
("a" "b" "c:d:e:f:g::")

* (split ":" "a:b:c:d:e:f:g::" :limit 1000)
("a" "b" "c" "d" "e" "f" "g" "" "")


[Function]
regex-replace regex target-string replacement &key start end preserve-case simple-calls element-type => string, matchp


Try to match target-string between start and end against regex and replace the first match with replacement. Two values are returned; the modified string, and T if regex matched or NIL otherwise.

replacement can be a string which may contain the special substrings "\&" for the whole match, "\`" for the part of target-string before the match, "\'" for the part of target-string after the match, "\N" or "\{N}" for the Nth register where N is a positive integer.

replacement can also be a function designator in which case the match will be replaced with the result of calling the function designated by replacement with the arguments target-string, start, end, match-start, match-end, reg-starts, and reg-ends. (reg-starts and reg-ends are arrays holding the start and end positions of matched registers (or NIL) - the meaning of the other arguments should be obvious.)

If simple-calls is true, a function designated by replacement will instead be called with the arguments match, register-1, ..., register-n where match is the whole match as a string and register-1 to register-n are the matched registers, also as strings (or NIL). Note that these strings share structure with target-string so you must not modify them.

Finally, replacement can be a list where each element is a string (which will be inserted verbatim), one of the symbols :match, :before-match, or :after-match (corresponding to "\&", "\`", and "\'" above), an integer N (representing register (1+ N)), or a function designator.

If preserve-case is true (default is NIL), the replacement will try to preserve the case (all upper case, all lower case, or capitalized) of the match. The result will always be a fresh string, even if regex doesn't match.

element-type specifies the array element type of the string which is returned, the default is LW:SIMPLE-CHAR for LispWorks and CHARACTER for other Lisps. 

* (regex-replace "fo+" "foo bar" "frob")
"frob bar"
T

* (regex-replace "fo+" "FOO bar" "frob")
"FOO bar"
NIL

* (regex-replace "(?i)fo+" "FOO bar" "frob")
"frob bar"
T

* (regex-replace "(?i)fo+" "FOO bar" "frob" :preserve-case t)
"FROB bar"
T

* (regex-replace "(?i)fo+" "Foo bar" "frob" :preserve-case t)
"Frob bar"
T

* (regex-replace "bar" "foo bar baz" "[frob (was '\\&' between '\\`' and '\\'')]")
"foo [frob (was 'bar' between 'foo ' and ' baz')] baz"
T

* (regex-replace "bar" "foo bar baz"
                          '("[frob (was '" :match "' between '" :before-match "' and '" :after-match "')]"))
"foo [frob (was 'bar' between 'foo ' and ' baz')] baz"
T

* (regex-replace "(be)(nev)(o)(lent)"
                          "benevolent: adj. generous, kind"
                          #'(lambda (match &rest registers)
                              (format nil "~A [~{~A~^.~}]" match registers))
                          :simple-calls t)
"benevolent [be.nev.o.lent]: adj. generous, kind"
T


[Function]
regex-replace-all regex target-string replacement &key start end preserve-case simple-calls element-type => string, matchp


Like REGEX-REPLACE but replaces all matches. 
* (regex-replace-all "(?i)fo+" "foo Fooo FOOOO bar" "frob" :preserve-case t)
"frob Frob FROB bar"
T

* (regex-replace-all "(?i)f(o+)" "foo Fooo FOOOO bar" "fr\\1b" :preserve-case t)
"froob Frooob FROOOOB bar"
T

* (let ((qp-regex (create-scanner "[\\x80-\\xff]")))
    (defun encode-quoted-printable (string)
      "Converts 8-bit string to quoted-printable representation."
      ;; won't work for Corman Lisp because non-ASCII characters aren't 8-bit there
      (flet ((convert (target-string start end match-start match-end reg-starts reg-ends)
             (declare (ignore start end match-end reg-starts reg-ends))
             (format nil "=~2,'0x" (char-code (char target-string match-start)))))
        (regex-replace-all qp-regex string #'convert))))
Converted ENCODE-QUOTED-PRINTABLE.
ENCODE-QUOTED-PRINTABLE

* (encode-quoted-printable "Fête Sørensen naïve Hühner Straße")
"F=EAte S=F8rensen na=EFve H=FChner Stra=DFe"
T

* (let ((url-regex (create-scanner "[^a-zA-Z0-9_\\-.]")))
    (defun url-encode (string)
      "URL-encodes a string."
      ;; won't work for Corman Lisp because non-ASCII characters aren't 8-bit there
      (flet ((convert (target-string start end match-start match-end reg-starts reg-ends)
             (declare (ignore start end match-end reg-starts reg-ends))
             (format nil "%~2,'0x" (char-code (char target-string match-start)))))
        (regex-replace-all url-regex string #'convert))))
Converted URL-ENCODE.
URL-ENCODE

* (url-encode "Fête Sørensen naïve Hühner Straße")
"F%EAte%20S%F8rensen%20na%EFve%20H%FChner%20Stra%DFe"
T

* (defun how-many (target-string start end match-start match-end reg-starts reg-ends)
    (declare (ignore start end match-start match-end))
    (format nil "~A" (- (svref reg-ends 0)
                        (svref reg-starts 0))))
HOW-MANY

* (regex-replace-all "{(.+?)}"
                              "foo{...}bar{.....}{..}baz{....}frob"
                              (list "[" 'how-many " dots]"))
"foo[3 dots]bar[5 dots][2 dots]baz[4 dots]frob"
T

* (let ((qp-regex (create-scanner "[\\x80-\\xff]")))
    (defun encode-quoted-printable (string)
      "Converts 8-bit string to quoted-printable representation.
Version using SIMPLE-CALLS keyword argument."
      ;; ;; won't work for Corman Lisp because non-ASCII characters aren't 8-bit there
      (flet ((convert (match)
               (format nil "=~2,'0x" (char-code (char match 0)))))
        (regex-replace-all qp-regex string #'convert
                                    :simple-calls t))))

Converted ENCODE-QUOTED-PRINTABLE.
ENCODE-QUOTED-PRINTABLE

* (encode-quoted-printable "Fête Sørensen naïve Hühner Straße")
"F=EAte S=F8rensen na=EFve H=FChner Stra=DFe"
T

* (defun how-many (match first-register)
    (declare (ignore match))
    (format nil "~A" (length first-register)))
HOW-MANY

* (regex-replace-all "{(.+?)}"
                              "foo{...}bar{.....}{..}baz{....}frob"
                              (list "[" 'how-many " dots]")
                              :simple-calls t)

"foo[3 dots]bar[5 dots][2 dots]baz[4 dots]frob"
T

Modifying scanner behaviour


[Special variable]
*property-resolver*


This is the designator for a function responsible for resolving named properties like \p{Number}. If CL-PPCRE encounters a \p or a \P it expects to see an opening curly brace immediately afterwards and will then read everything following that brace until it sees a closing curly brace. The resolver function will be called with this string and must return a corresponding unary test function which accepts a character as its argument and returns a true value if and only if the character has the named property. If the resolver returns NIL instead, it signals that a property of that name is unknown. 
* (labels ((char-code-odd-p (char)
             (oddp (char-code char)))
           (char-code-even-p (char)
             (evenp (char-code char)))
           (resolver (name)
             (cond ((string= name "odd") #'char-code-odd-p)
                   ((string= name "even") #'char-code-even-p)
                   ((string= name "true") (constantly t))
                   (t (error "Can't resolve ~S." name)))))
    (let ((*property-resolver* #'resolver))
      ;; quiz question - why do we need CREATE-SCANNER here?
      (list (regex-replace-all (create-scanner "\\p{odd}") "abcd" "+")
            (regex-replace-all (create-scanner "\\p{even}") "abcd" "+")
            (regex-replace-all (create-scanner "\\p{true}") "abcd" "+"))))
("+b+d" "a+c+" "++++")
If the value of *PROPERTY-RESOLVER* is NIL (which is the default), \p and \P in regex strings will simply be treated like p or P as in CL-PPCRE 1.4.1 and earlier. Note that this does not affect the validity of (:PROPERTY <name>) parts in S-expression syntax.


[Accessor]
parse-tree-synonym symbol => parse-tree
(setf (parse-tree-synonym symbol) new-parse-tree)


Any symbol (unless it's a keyword with a special meaning in parse trees) can be made a "synonym", i.e. an abbreviation, for another parse tree by this accessor. PARSE-TREE-SYNONYM returns NIL if symbol isn't a synonym yet. 
* (parse-string "a*b+")
(:SEQUENCE (:GREEDY-REPETITION 0 NIL #\a) (:GREEDY-REPETITION 1 NIL #\b))

* (defun my-repetition (char min)
    `(:greedy-repetition ,min nil ,char))
MY-REPETITION

* (setf (parse-tree-synonym 'a*) (my-repetition #\a 0))
(:GREEDY-REPETITION 0 NIL #\a)

* (setf (parse-tree-synonym 'b+) (my-repetition #\b 1))
(:GREEDY-REPETITION 1 NIL #\b)

* (let ((scanner (create-scanner '(:sequence a* b+))))
    (dolist (string '("ab" "b" "aab" "a" "x"))
      (print (scan scanner string)))
    (values))
0
0
0
NIL
NIL

* (parse-tree-synonym 'a*)
(:GREEDY-REPETITION 0 NIL #\a)

* (parse-tree-synonym 'a+)
NIL


[Macro]
define-parse-tree-synonym name parse-tree => parse-tree


This is a convenience macro for parse tree synonyms defined as 
(defmacro define-parse-tree-synonym (name parse-tree)
  `(eval-when (:compile-toplevel :load-toplevel :execute)
     (setf (parse-tree-synonym ',name) ',parse-tree)))
so you can write code like this: 
(define-parse-tree-synonym a-z
  (:char-class (:range #\a #\z) (:range #\A #\Z)))

(define-parse-tree-synonym a-z*
  (:greedy-repetition 0 nil a-z))

(defun ascii-char-tester (string)
  (scan '(:sequence :start-anchor a-z* :end-anchor)
        string))


[Special variable]
*regex-char-code-limit*


This variable controls whether scanners take into account all characters of your CL implementation or only those the CHAR-CODE of which is not larger than its value. The default is CHAR-CODE-LIMIT, and you might see significant speed and space improvements during scanner creation if, say, your target strings only contain ISO-8859-1 characters and you're using a Lisp implementation where CHAR-CODE-LIMIT has a value much higher than 256. The test suite will automatically set *REGEX-CHAR-CODE-LIMIT* to 256 while you're running the default test.

Note: Due to the nature of LOAD-TIME-VALUE and the compiler macro for SCAN and other functions, some scanners might be created in a null lexical environment at load time or at compile time so be careful to which value *REGEX-CHAR-CODE-LIMIT* is bound at that time. The default value should always yield correct results unless you play dirty tricks with implementation-dependent behaviour, though.


[Special variable]
*use-bmh-matchers*


Usually, the scanners created by CREATE-SCANNER (or implicitly by other functions and macros) will use the standard function SEARCH to check for constant strings at the start or end of the regular expression. If *USE-BMH-MATCHERS* is true (the default is NIL), fast Boyer-Moore-Horspool matchers will be used instead. This will usually be faster but can make the scanners considerably bigger. Per BMH matcher - there can be up to two per scanner - a fixnum array of size *REGEX-CHAR-CODE-LIMIT* is allocated and closed over.

Note: Due to the nature of LOAD-TIME-VALUE and the compiler macro for SCAN and other functions, some scanners might be created in a null lexical environment at load time or at compile time so be careful to which value *USE-BMH-MATCHERS* is bound at that time.


[Special variable]
*optimize-char-classes*


Whether character classes should be compiled into look-ups into O(1) data structures. This is usually fast but will be costly in terms of scanner creation time and might be costly in terms of size if *REGEX-CHAR-CODE-LIMIT* is high. This value will be used as the kind keyword argument to CREATE-OPTIMIZED-TEST-FUNCTION - see there for the possible non-NIL values. The default value (NIL) should usually be fine unless you're sure that you absolutely have to optimize some character classes for speed.

Note: Due to the nature of LOAD-TIME-VALUE and the compiler macro for SCAN and other functions, some scanners might be created in a null lexical environment at load time or at compile time so be careful to which value *OPTIMIZE-CHAR-CLASSES* is bound at that time.


[Special variable]
*allow-quoting*


If this value is true (the default is NIL), CL-PPCRE will support \Q and \E in regex strings to quote (disable) metacharacters. Note that this entails a slight performance penalty when creating scanners because (a copy of) the regex string is modified (probably more than once) before it is fed to the parser. Also, the parser's syntax error messages will complain about the converted string and not about the original regex string. 
* (scan "^a+$" "a+")
NIL

* (let ((*allow-quoting* t))
    ;;we use CREATE-SCANNER because of Lisps like SBCL that don't have an interpreter
    (scan (create-scanner "^\\Qa+\\E$") "a+"))
0
2
#()
#()

* (let ((*allow-quoting* t))
    (scan (create-scanner "\\Qa()\\E(?#comment\\Q)a**b") "()ab"))

Quantifier '*' not allowed at position 19 in string "a\\(\\)(?#commentQ)a**b"
Note how in the last example the regex string in the error message is different from the first argument to the SCAN function. Also note that the second example might be easier to understand (and Lisp-ier) if you write it like this: 
* (scan '(:sequence :start-anchor
                    "a+" ;; no quoting necessary
                    :end-anchor)
        "a+")
0
2
#()
#()
Make sure you also read the relevant section in "Bugs and problems."

Note: Due to the nature of LOAD-TIME-VALUE and the compiler macro for SCAN and other functions, some scanners might be created in a null lexical environment at load time or at compile time so be careful to which value *ALLOW-QUOTING* is bound at that time.


[Special variable]
*allow-named-registers*


If this value is true (the default is NIL), CL-PPCRE will support (?<name>"<regex>") and \k<name> in regex strings to provide named registers and back-references as in AllegroCL. name is has to start with a letter and can contain only alphanumeric characters or minus sign. Names of registers are matched case-sensitively. The parse tree syntax is not affected by the *ALLOW-NAMED-REGISTERS* switch, :NAMED-REGISTER and :BACK-REFERENCE forms are always resolved as expected. There are also no restrictions on register names in this syntax except that they have to be strings. 
;; Perl compatible mode (*ALLOW-NAMED-REGISTERS* is NIL)
* (create-scanner "(?<reg>.*)")
Character 'r' may not follow '(?<' at position 3 in string "(?<reg>)"

;; just unescapes "\\k"
* (parse-string "\\k<reg>")
"k<reg>"

* (setq *allow-named-registers* t)
T

* (create-scanner "((?<small>[a-z]*)(?<big>[A-Z]*))")
#<CLOSURE (LAMBDA (STRING CL-PPCRE::START CL-PPCRE::END)) {AD75BFD}>
(NIL "small" "big")

;; the scanner doesn't capture any information about named groups -
;; you have to store the second value returned from CREATE-SCANNER yourself
* (scan * "aaaBBB")
0
6
#(0 0 3)
#(6 3 6)

;; parse tree syntax
* (parse-string "((?<small>[a-z]*)(?<big>[A-Z]*))")
(:REGISTER
 (:SEQUENCE
  (:NAMED-REGISTER "small"
   (:GREEDY-REPETITION 0 NIL (:CHAR-CLASS (:RANGE #\a #\z))))
  (:NAMED-REGISTER "big"
   (:GREEDY-REPETITION 0 NIL (:CHAR-CLASS (:RANGE #\A #\Z))))))

* (create-scanner *)
#<CLOSURE (LAMBDA (STRING CL-PPCRE::START CL-PPCRE::END)) {B158E3D}>
(NIL "small" "big")

;; multiple-choice back-reference
* (scan "^(?<reg>[ab])(?<reg>[12])\\k<reg>\\k<reg>$" "a1aa")
0
4
#(0 1)
#(1 2)

* (scan "^(?<reg>[ab])(?<reg>[12])\\k<reg>\\k<reg>$" "a22a")
0
4
#(0 1)
#(1 2)

;; demonstrating most-recently-seen-register-first property of back-reference;
;; "greedy" regex (analogous to "aa?")
* (scan "^(?<reg>)(?<reg>a)(\\k<reg>)" "a")
0
1
#(0 0 1)
#(0 1 1)

* (scan "^(?<reg>)(?<reg>a)(\\k<reg>)" "aa")
0
2
#(0 0 1)
#(0 1 2)

;; switched groups
;; "lazy" regex (analogous to "aa??")
* (scan "^(?<reg>a)(?<reg>)(\\k<reg>)" "a")
0
1
#(0 1 1)
#(1 1 1)

;; scanner ignores the second "a"
* (scan "^(?<reg>a)(?<reg>)(\\k<reg>)" "aa")
0
1
#(0 1 1)
#(1 1 1)

;; "aa" will be matched only when forced by adding "$" at the end
* (scan "^(?<reg>a)(?<reg>)(\\k<reg>)$" "aa")
0
2
#(0 1 1)
#(1 1 2)
Note: Due to the nature of LOAD-TIME-VALUE and the compiler macro for SCAN and other functions, some scanners might be created in a null lexical environment at load time or at compile time so be careful to which value *ALLOW-NAMED-REGISTERS* is bound at that time.

Miscellaneous


[Function]
parse-string string => parse-tree


Converts the regex string string into a parse tree. Note that the result is usually one possible way of creating an equivalent parse tree and not necessarily the "canonical" one. Specifically, the parse tree might contain redundant parts which are supposed to be excised when a scanner is created.


[Function]
create-optimized-test-function test-function &key start end kind => function


Given a unary test function test-function which is applicable to characters returns a function which yields the same boolean results for all characters with character codes from start to (excluding) end. If kind is NIL, test-function will simply be returned. Otherwise, kind should be one of:
:HASH-TABLE
The function builds a hash table representing all characters which satisfy the test and returns a closure which checks if a character is in that hash table.
:CHARSET
Instead of a hash table the function uses a "charset" which is a data structure using non-linear hashing and optimized to represent (sparse) sets of characters in a fast and space-efficient way (contributed by Nikodemus Siivola).
:CHARMAP
Instead of a hash table the function uses a bit vector to represent the set of characters.
You can also use :HASH-TABLE* or :CHARSET* which are like :HASH-TABLE and :CHARSET but use the complement of the set if the set contains more than half of all characters between start and end. This saves space but needs an additional pass across all characters to create the data structure. There is no corresponding :CHARMAP* kind as the bit vectors are already created to cover the smallest possible interval which contains either the set or its complement.

See also *OPTIMIZE-CHAR-CLASSES*.


[Function]
quote-meta-chars string => string'


This is a simple utility function used when *ALLOW-QUOTING* is true. It returns a string STRING' where all non-word characters (everything except ASCII characters, digits and underline) of STRING are quoted by prepending a backslash similar to Perl's quotemeta function. It always returns a fresh string. 
* (quote-meta-chars "[a-z]*")
"\\[a\\-z\\]\\*"


[Function]
regex-apropos regex &optional packages &key case-insensitive => list


Like APROPOS but searches for interned symbols which match the regular expression regex. The output is implementation-dependent. If case-insensitive is true (which is the default) and regex isn't already a scanner, a case-insensitive scanner is used.

Here are examples for CMUCL: 

* *package*
#<The COMMON-LISP-USER package, 16/21 internal, 0/9 external>

* (defun foo (n &optional (k 0)) (+ 3 n k))
FOO

* (defparameter foo "bar")
FOO

* (defparameter |foobar| 42)
|foobar|

* (defparameter fooboo 43)
FOOBOO

* (defclass frobar () ())
#<STANDARD-CLASS FROBAR {4874E625}>

* (regex-apropos "foo(?:bar)?")
FOO [variable] value: "bar"
    [compiled function] (N &OPTIONAL (K 0))
FOOBOO [variable] value: 43
|foobar| [variable] value: 42

* (regex-apropos "(?:foo|fro)bar")
PCL::|COMMON-LISP-USER::FROBAR class predicate| [compiled closure]
FROBAR [class] #<STANDARD-CLASS FROBAR {4874E625}>
|foobar| [variable] value: 42

* (regex-apropos "(?:foo|fro)bar" 'cl-user)
FROBAR [class] #<STANDARD-CLASS FROBAR {4874E625}>
|foobar| [variable] value: 42

* (regex-apropos "(?:foo|fro)bar" '(pcl ext))
PCL::|COMMON-LISP-USER::FROBAR class predicate| [compiled closure]

* (regex-apropos "foo")
FOO [variable] value: "bar"
    [compiled function] (N &OPTIONAL (K 0))
FOOBOO [variable] value: 43
|foobar| [variable] value: 42

* (regex-apropos "foo" nil :case-insensitive nil)
|foobar| [variable] value: 42


[Function]
regex-apropos-list regex &optional packages &key upcase => list


Like APROPOS-LIST but searches for interned symbols which match the regular expression regex. If case-insensitive is true (which is the default) and regex isn't already a scanner, a case-insensitive scanner is used.

Example (continued from above): 

* (regex-apropos-list "foo(?:bar)?")
(|foobar| FOOBOO FOO)

Conditions


[Condition type]
ppcre-error


Every error signaled by CL-PPCRE is of type PPCRE-ERROR. This is a direct subtype of SIMPLE-ERROR without any additional slots or options.


[Condition type]
ppcre-invocation-error


Errors of type PPCRE-INVOCATION-ERROR are signaled if one of the exported functions of CL-PPCRE is called with wrong or inconsistent arguments. This is a direct subtype of PPCRE-ERROR without any additional slots or options.


[Condition type]
ppcre-syntax-error


An error of type PPCRE-SYNTAX-ERROR is signaled if CL-PPCRE's parser encounters an error when trying to parse a regex string or to convert a parse tree into its internal representation. This is a direct subtype of PPCRE-ERROR with two additional slots. These denote the regex string which HTML-PPCRE was parsing and the position within the string where the error occurred. If the error happens while CL-PPCRE is converting a parse tree, both of these slots contain NIL. (See the next two entries on how to access these slots.)

As many syntax errors can't be detected before the parser is at the end of the stream, the row and column usually denote the last position where the parser was happy and not the position where it gave up. 

* (handler-case
    (scan "foo**x" "fooox")
    (ppcre-syntax-error (condition)
      (format t "Houston, we've got a problem with the string ~S:~%~
                 Looks like something went wrong at position ~A.~%~
                 The last message we received was \"~?\"."
              (ppcre-syntax-error-string condition)
              (ppcre-syntax-error-pos condition)
              (simple-condition-format-control condition)
              (simple-condition-format-arguments condition))
      (values)))
Houston, we've got a problem with the string "foo**x":
Looks like something went wrong at position 4.
The last message we received was "Quantifier '*' not allowed.".


[Function]
ppcre-syntax-error-string condition => string


If condition is a condition of type PPCRE-SYNTAX-ERROR, this function will return the string the parser was parsing when the error was encountered (or NIL if the error happened while trying to convert a parse tree). This might be particularly useful when *ALLOW-QUOTING* is true because in this case the offending string might not be the one you gave to the CREATE-SCANNER function.


[Function]
ppcre-syntax-error-pos condition => number


If condition is a condition of type PPCRE-SYNTAX-ERROR, this function will return the position within the string where the error occurred (or NIL if the error happened while trying to convert a parse tree).

 

Unicode properties

You can add support for Unicode properties to CL-PPCRE by loading the CL-PPCRE-UNICODE system (which depends on CL-UNICODE): 
(asdf:oos 'asdf:load-op :cl-ppcre-unicode)
This will automatically install UNICODE-PROPERTY-RESOLVER as your property resolver.

See the CL-UNICODE documentation for information about the supported Unicode properties and how they are named.


[Function]
unicode-property-resolver property-name => function-or-nil


A property resolver which understands Unicode properties using CL-UNICODE's PROPERTY-TEST function. This resolver is automatically installed in *PROPERTY-RESOLVER* when the CL-PPCRE-UNICODE system is loaded. 
* (scan-to-strings "\\p{Script:Latin}+" "0+AB_*")
"AB"
#()
Note that this symbol is exported from the CL-PPCRE-UNICODE package and not from the CL-PPCRE package.

 

Filters

Because several users have asked for it, CL-PPCRE now offers "filters" (see above for syntax) which are basically arbitrary, user-defined functions that can act as regex building blocks. Filters can only be used within parse trees, not within Perl regex strings.

A filter is defined by its filter function which must be a function of one argument. During the parsing process this function might be called once or several times or it might not be called at all. If it's called, its argument is an integer pos which is the current position within the target string. The filter can either return NIL (which means that the subexpression represented by this filter didn't match) or an integer not smaller than pos for success. A zero-length assertion should return pos itself while a filter which wants to consume N characters should return (+ POS N).

If you supply the optional value length and it is not NIL, then this is a promise to the regex engine that your filter will always consume exactly length characters. The regex engine might use this information for optimization purposes but it is otherwise irrelevant to the outcome of the matching process.

The filter function can access the following special variables from its code body:

CL-PPCRE::*STRING*
The target (a string) of the current matching process.
CL-PPCRE::*START-POS* and CL-PPCRE::*END-POS*
The start and end (integers) indices of the current matching process. These correspond to the START and END keyword parameters of SCAN.
CL-PPCRE::*REAL-START-POS*
The initial starting position. This is only relevant for repeated scans (as in DO-SCANS) where CL-PPCRE::*START-POS* will be moved forward while CL-PPCRE::*REAL-START-POS* won't. For normal scans the value of this variable is NIL.
CL-PPCRE::*REG-STARTS* and CL-PPCRE::*REG-ENDS*
Two simple vectors which denote the start and end indices of registers within the regular expression. The first register is indexed by 0. If a register hasn't matched yet, then its corresponding entry in CL-PPCRE::*REG-STARTS* is NIL.
These variables should be considered read-only. Do not change these values unless you really know what you're doing!

Note that the names of the variables are not exported from the CL-PPCRE package because there's no explicit guarantee that they will be available in future releases. (Although after so many years it is very unlikely that they'll go away...) 

* (defun my-info-filter (pos)
    "Show some info about the matching process."
    (format t "Called at position ~A~%" pos)
    (loop with dim = (array-dimension cl-ppcre::*reg-starts* 0)
          for i below dim
          for reg-start = (aref cl-ppcre::*reg-starts* i)
          for reg-end = (aref cl-ppcre::*reg-ends* i)
          do (format t "Register ~A is currently " (1+ i))
          when reg-start
               (write-string cl-ppcre::*string* nil
            do (write-char #\')
               (write-string cl-ppcre::*string* nil
                     :start reg-start :end reg-end)
               (write-char #\')
          else
            do (write-string "unbound")
          do (terpri))
    (terpri)
    pos)
MY-INFO-FILTER

* (scan '(:sequence
           (:register
             (:greedy-repetition 0 nil
                                 (:char-class (:range #\a #\z))))
           (:filter my-info-filter 0) "X")
        "bYcdeX")
Called at position 1
Register 1 is currently 'b'

Called at position 0
Register 1 is currently ''

Called at position 1
Register 1 is currently ''

Called at position 5
Register 1 is currently 'cde'

2
6
#(2)
#(5)

* (scan '(:sequence
           (:register
             (:greedy-repetition 0 nil
                                 (:char-class (:range #\a #\z))))
           (:filter my-info-filter 0) "X")
        "bYcdeZ")
NIL

* (defun my-weird-filter (pos)
    "Only match at this point if either pos is odd and the character
  we're looking at is lowercase or if pos is even and the next two
  characters we're looking at are uppercase. Consume these characters if
  there's a match."
    (format t "Trying at position ~A~%" pos)
    (cond ((and (oddp pos)
                (< pos cl-ppcre::*end-pos*)
                (lower-case-p (char cl-ppcre::*string* pos)))
           (1+ pos))
          ((and (evenp pos)
                (< (1+ pos) cl-ppcre::*end-pos*)
                (upper-case-p (char cl-ppcre::*string* pos))
                (upper-case-p (char cl-ppcre::*string* (1+ pos))))
           (+ pos 2))
          (t nil)))
MY-WEIRD-FILTER

* (defparameter *weird-regex*
                `(:sequence "+" (:filter ,#'my-weird-filter) "+"))
*WEIRD-REGEX*

* (scan *weird-regex* "+A++a+AA+")
Trying at position 1
Trying at position 3
Trying at position 4
Trying at position 6
5
9
#()
#()

* (fmakunbound 'my-weird-filter)
MY-WEIRD-FILTER

* (scan *weird-regex* "+A++a+AA+")
Trying at position 1
Trying at position 3
Trying at position 4
Trying at position 6
5
9
#()
#()
Note that in the second call to SCAN our filter wasn't invoked at all - it was optimized away by the regex engine because it knew that it couldn't match. Also note that *WEIRD-REGEX* still worked after we removed the global function definition of MY-WEIRD-FILTER because the regular expression had captured the original definition.

For more ideas about what you can do with filters see this thread on the mailing list.
 

Compatibility with Perl

Depending on your Perl version you might encounter a couple of small incompatibilities with Perl most of which aren't due to CL-PPCRE:

Empty strings instead of undef in $1, $2, etc.

(Cf. case #629 of perltestdata.) This is a bug in Perl 5.6.1 and earlier which has been fixed in 5.8.0.

Strange scoping of embedded modifiers

(Cf. case #430 of perltestdata.) This is a bug in Perl 5.6.1 and earlier which has been fixed in 5.8.0.

Inconsistent capturing of $1, $2, etc.

(Cf. case #662 of perltestdata.) This is a bug in Perl which hasn't been fixed yet.

Captured groups not available outside of look-aheads and look-behinds

(Cf. case #1439 of perltestdata.) Well, OK, this ain't a Perl bug. I just can't quite understand why captured groups should only be seen within the scope of a look-ahead or look-behind. For the moment, CL-PPCRE and Perl agree to disagree... :)

Alternations don't always work from left to right

(Cf. case #790 of perltestdata.) I also think this a Perl bug but I currently have lost the drive to report it.

Different names for Unicode properties

The names of Unicode properties are derived from CL-UNICODE and might differ slightly from the names in Perl. Most of them should be identical, though. Also, CL-UNICODE is based on Unicode 5.1 while your installed Perl version might be not.

"\r" doesn't work with MCL

(Cf. case #9 of perltestdata.) For some strange reason that I don't understand MCL translates #\Return to (CODE-CHAR 10) while MacPerl translates "\r" to (CODE-CHAR 13). Hmmm...

What about "\w"?

CL-PPCRE uses ALPHANUMERICP to decide whether a character matches Perl's "\w", so depending on your CL implementation you might encounter differences between Perl and CL-PPCRE when matching non-ASCII characters.
 

Bugs and problems

"\Q" doesn't work, or does it?

In Perl the following code works as expected, i.e. it prints 1. 
#!/usr/bin/perl -l

$a = '\E*';
print 1
  if '\E*\E*' =~ /(?:\Q$a\E){2}/;
If you try to do something similar in CL-PPCRE, you get an error: 
* (let ((*allow-quoting* t)
        (a "\\E*"))
    (scan (concatenate 'string "(?:\\Q" a "\\E){2}") "\\E*\\E*"))
Quantifier '*' not allowed at position 3 in string "(?:*\\E){2}"
The error message might give you a hint as to why this happens: Because *ALLOW-QUOTING* was true the concatenated string was pre-processed before it was fed to CL-PPCRE's parser - the result of this pre-processing is "(?:*\\E){2}" because the "\\E" in the string A was taken to be the end of the quoted section started by "\\Q". This cannot happen in Perl due to its complicated interpolation rules - see man perlop for the scary details. It can happen in CL-PPCRE, though. Bummer!

What gives? "\\Q...\\E" in CL-PPCRE should only be used in literal strings. If you want to quote arbitrary strings, try CL-INTERPOL or use QUOTE-META-CHARS: 

* (let ((a "\\E*"))
    (scan (concatenate 'string "(?:" (quote-meta-chars a) "){2}") "\\E*\\E*"))
0
6
#()
#()
Or, even better and Lisp-ier, use the S-expression syntax instead - no need for quoting in this case: 
* (let ((a "\\E*"))
    (scan `(:greedy-repetition 2 2 ,a) "\\E*\\E*"))
0
6
#()
#()

Backslashes may confuse you...

* (let ((a "y\\y"))
    (scan a a))
NIL
You didn't expect this to yield NIL, did you? Shouldn't something like (SCAN A A) always return a true value? No, because the first and the second argument to SCAN are handled differently: The first argument is fed to CL-PPCRE's parser and is treated like a Perl regular expression. In particular, the parser "sees" \y and converts it to y because \y has no special meaning in regular expressions. So, the regular expression is the constant string "yy". But the second argument isn't converted - it is left as is, i.e. it's equivalent to Perl's 'y\y'. In other words, this example would be equivalent to the Perl code 
'y\y' =~ /y\y/;
or to 
$a = 'y\y';
$a =~ /$a/;
which should explain why it doesn't match.

Still confused? You might want to try CL-INTERPOL.
 

AllegroCL compatibility mode

Since autumn 2004 AllegroCL offers a new regular expression API with a syntax very similar to CL-PPCRE. Although CL-PPCRE is quite fast already, AllegroCL's engine will most likely be even faster (but only on AllegroCL, of course). However, you might want to stick to CL-PPCRE because you have a "legacy" application or because you want your code to be portable to other Lisp implementations. Therefore, beginning from version 1.2.0, CL-PPCRE offers a "compatibility mode" where you can continue using the CL-PPCRE API as described above but deploy the AllegroCL regex engine under the hood. (The details are: Calls to CREATE-SCANNER and SCAN are dispatched to their AllegroCL counterparts EXCL:COMPILE-RE and EXCL:MATCH-RE while everything else is left as is.)

The advantage of this mode is that you'll get a much smaller image and most likely faster code. (But note that CL-PPCRE needs to do a small amount of work to massage AllegroCL's output into the format expected by CL-PPCRE.) The downside is that your code won't be fully compatible with CL-PPCRE anymore. Here are some of the differences (most of which probably don't matter very often):

For more details about the AllegroCL engine and possible deviations from CL-PPCRE see the documentation at the Franz Inc. website.

To use the AllegroCL compatibility mode you have to 

(push :use-acl-regexp2-engine *features*)
before you compile CL-PPCRE.
 

Hints, comments, performance considerations

Here are, in no particular order, a couple of things about CL-PPCRE and regular expressions in general that you might or might not want to read.
  • A lot of hackers (especially users of Perl and other scripting languages) think that regular expressions are the greatest thing since sliced bread and use it for almost everything. That is just plain wrong. Other hackers (especially Lispers) tend to think that regular expressions are the work of the devil and try to avoid them at all cost. That's also wrong. Regular expressions are a handy and useful addition to your toolkit which you should use when appropriate - you should just try to figure out first if they're appropriate for the task at hand.
  • If you're concerned about the string syntax of regular expressions which can look like line noise and is really hard to read for long expressions, consider using CL-PPCRE's S-expression syntax instead. It is less error-prone and you don't have to worry about escaping characters. It is also easier to manipulate programmatically.
  • For alternations, order is important. The general rule is that the regex engine tries from left to right and tries to match as much as possible. 
    CL-USER 1 > (scan-to-strings "<=|<" "<=")
"<="
#()

CL-USER 2 > (scan-to-strings "<|<=" "<=")
"<"
#()
  • CL-PPCRE uses compiler macros to pre-compile scanners at load time if possible. This happens if the compiler can determine that the regular expression (no matter if it's a string or an S-expression) is constant at compile time and is intended to save the time for creating scanners at execution time (probably creating the same scanner over and over in a loop). Make sure you don't prevent the compiler from helping you. For example, a definition like this one is usually not a good idea: 
    (defun regex-match (regex target)
  ;; don't do that!
  (scan regex target))
  • If you want to search for a substring in a large string or if you search for the same string very often, SCAN will usually be faster than Common Lisp's SEARCH if you use BMH matchers. However, this only makes sense if scanner creation time is not the limiting factor, i.e. if the search target is very large or if you're using the same scanner very often.
  • Complementary to the last hint, don't use regular expressions for one-time searches for constant strings. That's a terrible waste of resources.
  • *USE-BMH-MATCHERS* together with a large value for *REGEX-CHAR-CODE-LIMIT* can lead to huge scanners.
  • A character class is by default translated into a sequence of tests exactly as you might expect. For example, "[af-l\\d]" means to test if the character is equal to #\a, then to test if it's between #\f and #\l, then if it's a digit. There's by default no attempt to remove redundancy (as in "[a-ge-kf]") or to otherwise optimize these tests for speed. However, you can play with *OPTIMIZE-CHAR-CLASSES* if you've identified character classes as a bottleneck and want to make sure that you have O(1) test functions.
  • If you know that the expression you're looking for is anchored, use anchors in your regex. This can help the engine a lot to make your scanners more efficient.
  • In addition to anchors, constant strings at the start or end of a regular expression can help the engine to quickly scan a string. Note that for example "(a-d|aebf)" and "ab(cd|ef)" are equivalent, but only the second form has a constant start the regex engine can recognize.
  • Try to avoid alternations if possible or at least factor them out as in the example above.
  • If neither anchors nor constant strings are in sight, maybe "standalone" (sometimes also called "possessive") regular expressions can be helpful. Try the following: 
    (let ((target (make-string 10000 :initial-element #\a))
      (scanner-1 (create-scanner "a*\\d"))
      (scanner-2 (create-scanner "(?>a*)\\d")))
  (time (scan scanner-1 target))
  (time (scan scanner-2 target)))
  • Consider using "single-line mode" if it makes sense for your task. By default (following Perl's practice), a dot means to search for any character except line breaks. In single-line mode a dot searches for any character which in some cases means that large parts of the target can actually be skipped. This can be vastly more efficient for large targets.
  • Don't use capturing register groups where a non-capturing group would do, i.e. only use registers if you need to refer to them later. If you use a register, each scan process needs to allocate space for it and update its contents (possibly many times) until it's finished. (In Perl parlance - use "(?:foo)" instead of "(foo)" whenever possible.)
  • In addition to what has been said in the last hint, note that Perl semantics force the regex engine to report the last match for each register. This implies for example that "([a-c])+" and "[a-c]*([a-c])" have exactly the same semantics but completely different performance characteristics. (Actually, in some cases CL-PPCRE automatically converts expressions from the first type into the second type. That's not always possible, though, and you shouldn't rely on it.)
  • By default, repetitions are "greedy" in Perl (and thus in CL-PPCRE). This has an impact on performance and also on the actual outcome of a scan. Look at your repetitions and ponder if a greedy repetition is really what you want.

 

Acknowledgements

Although I didn't use their code, I was heavily inspired by looking at the Scheme/CL regex implementations of Dorai Sitaram and Michael Parker. Also, the nice folks from CMUCL's mailing list as well as the output of Perl's use re "debug" pragma have been very helpful in optimizing the scanners created by CL-PPCRE.

The list of people who participated in this project in one way or the other has grown too long to maintain it here. See the ChangeLog for all the people who helped with patches, bug reports, or in other ways. Thanks to all of them!

Thanks to the guys at "Café Olé" in Hamburg where I wrote most of the 0.1.0 release and thanks to my wife for lending me her PowerBook to test early versions of CL-PPCRE with MCL and OpenMCL.

$Header: /usr/local/cvsrep/cl-ppcre/doc/index.html,v 1.200 2009/10/28 07:36:31 edi Exp $

BACK TO MY HOMEPAGE cafeobj-1.5.4/cl-ppcre/errors.lisp0000644000000000000000000000711612403660236015531 0ustar rootroot;;; -*- Mode: LISP; Syntax: COMMON-LISP; Package: CL-PPCRE; Base: 10 -*- ;;; $Header: /usr/local/cvsrep/cl-ppcre/errors.lisp,v 1.22 2009/09/17 19:17:31 edi Exp $ ;;; Copyright (c) 2002-2009, Dr. Edmund Weitz. All rights reserved. ;;; Redistribution and use in source and binary forms, with or without ;;; modification, are permitted provided that the following conditions ;;; are met: ;;; * Redistributions of source code must retain the above copyright ;;; notice, this list of conditions and the following disclaimer. ;;; * Redistributions in binary form must reproduce the above ;;; copyright notice, this list of conditions and the following ;;; disclaimer in the documentation and/or other materials ;;; provided with the distribution. ;;; THIS SOFTWARE IS PROVIDED BY THE AUTHOR 'AS IS' AND ANY EXPRESSED ;;; OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED ;;; WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ;;; ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY ;;; DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL ;;; DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE ;;; GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS ;;; INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, ;;; WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING ;;; NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS ;;; SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. (in-package :cl-ppcre) (defvar *syntax-error-string* nil "The string which caused the syntax error.") (define-condition ppcre-error (simple-error) () (:documentation "All errors signaled by CL-PPCRE are of this type.")) (define-condition ppcre-syntax-error (ppcre-error) ((string :initarg :string :reader ppcre-syntax-error-string) (pos :initarg :pos :reader ppcre-syntax-error-pos)) (:default-initargs :pos nil :string *syntax-error-string*) (:report (lambda (condition stream) (format stream "~?~@[ at position ~A~]~@[ in string ~S~]" (simple-condition-format-control condition) (simple-condition-format-arguments condition) (ppcre-syntax-error-pos condition) (ppcre-syntax-error-string condition)))) (:documentation "Signaled if CL-PPCRE's parser encounters an error when trying to parse a regex string or to convert a parse tree into its internal representation.")) (setf (documentation 'ppcre-syntax-error-string 'function) "Returns the string the parser was parsing when the error was encountered \(or NIL if the error happened while trying to convert a parse tree).") (setf (documentation 'ppcre-syntax-error-pos 'function) "Returns the position within the string where the error occurred \(or NIL if the error happened while trying to convert a parse tree") (define-condition ppcre-invocation-error (ppcre-error) () (:documentation "Signaled when CL-PPCRE functions are invoked with wrong arguments.")) (defmacro signal-syntax-error* (pos format-control &rest format-arguments) `(error 'ppcre-syntax-error :pos ,pos :format-control ,format-control :format-arguments (list ,@format-arguments))) (defmacro signal-syntax-error (format-control &rest format-arguments) `(signal-syntax-error* nil ,format-control ,@format-arguments)) (defmacro signal-invocation-error (format-control &rest format-arguments) `(error 'ppcre-invocation-error :format-control ,format-control :format-arguments (list ,@format-arguments))) cafeobj-1.5.4/cl-ppcre/lexer.lisp0000644000000000000000000010126612403660236015335 0ustar rootroot;;; -*- Mode: LISP; Syntax: COMMON-LISP; Package: CL-PPCRE; Base: 10 -*- ;;; $Header: /usr/local/cvsrep/cl-ppcre/lexer.lisp,v 1.35 2009/09/17 19:17:31 edi Exp $ ;;; The lexer's responsibility is to convert the regex string into a ;;; sequence of tokens which are in turn consumed by the parser. ;;; ;;; The lexer is aware of Perl's 'extended mode' and it also 'knows' ;;; (with a little help from the parser) how many register groups it ;;; has opened so far. (The latter is necessary for interpreting ;;; strings like "\\10" correctly.) ;;; Copyright (c) 2002-2009, Dr. Edmund Weitz. All rights reserved. ;;; Redistribution and use in source and binary forms, with or without ;;; modification, are permitted provided that the following conditions ;;; are met: ;;; * Redistributions of source code must retain the above copyright ;;; notice, this list of conditions and the following disclaimer. ;;; * Redistributions in binary form must reproduce the above ;;; copyright notice, this list of conditions and the following ;;; disclaimer in the documentation and/or other materials ;;; provided with the distribution. ;;; THIS SOFTWARE IS PROVIDED BY THE AUTHOR 'AS IS' AND ANY EXPRESSED ;;; OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED ;;; WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ;;; ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY ;;; DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL ;;; DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE ;;; GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS ;;; INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, ;;; WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING ;;; NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS ;;; SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. (in-package :cl-ppcre) (declaim (inline map-char-to-special-class)) (defun map-char-to-special-char-class (chr) (declare #.*standard-optimize-settings*) "Maps escaped characters like \"\\d\" to the tokens which represent their associated character classes." (case chr ((#\d) :digit-class) ((#\D) :non-digit-class) ((#\w) :word-char-class) ((#\W) :non-word-char-class) ((#\s) :whitespace-char-class) ((#\S) :non-whitespace-char-class))) (defstruct (lexer (:constructor make-lexer-internal)) "LEXER structures are used to hold the regex string which is currently lexed and to keep track of the lexer's state." (str "" :type string :read-only t) (len 0 :type fixnum :read-only t) (reg 0 :type fixnum) (pos 0 :type fixnum) (last-pos nil :type list)) (defun make-lexer (string) (declare (inline make-lexer-internal) #-:genera (string string)) (make-lexer-internal :str (maybe-coerce-to-simple-string string) :len (length string))) (declaim (inline end-of-string-p)) (defun end-of-string-p (lexer) (declare #.*standard-optimize-settings*) "Tests whether we're at the end of the regex string." (<= (lexer-len lexer) (lexer-pos lexer))) (declaim (inline looking-at-p)) (defun looking-at-p (lexer chr) (declare #.*standard-optimize-settings*) "Tests whether the next character the lexer would see is CHR. Does not respect extended mode." (and (not (end-of-string-p lexer)) (char= (schar (lexer-str lexer) (lexer-pos lexer)) chr))) (declaim (inline next-char-non-extended)) (defun next-char-non-extended (lexer) (declare #.*standard-optimize-settings*) "Returns the next character which is to be examined and updates the POS slot. Does not respect extended mode." (cond ((end-of-string-p lexer) nil) (t (prog1 (schar (lexer-str lexer) (lexer-pos lexer)) (incf (lexer-pos lexer)))))) (defun next-char (lexer) (declare #.*standard-optimize-settings*) "Returns the next character which is to be examined and updates the POS slot. Respects extended mode, i.e. whitespace, comments, and also nested comments are skipped if applicable." (let ((next-char (next-char-non-extended lexer)) last-loop-pos) (loop ;; remember where we started (setq last-loop-pos (lexer-pos lexer)) ;; first we look for nested comments like (?#foo) (when (and next-char (char= next-char #\() (looking-at-p lexer #\?)) (incf (lexer-pos lexer)) (cond ((looking-at-p lexer #\#) ;; must be a nested comment - so we have to search for ;; the closing parenthesis (let ((error-pos (- (lexer-pos lexer) 2))) (unless ;; loop 'til ')' or end of regex string and ;; return NIL if ')' wasn't encountered (loop for skip-char = next-char then (next-char-non-extended lexer) while (and skip-char (char/= skip-char #\))) finally (return skip-char)) (signal-syntax-error* error-pos "Comment group not closed."))) (setq next-char (next-char-non-extended lexer))) (t ;; undo effect of previous INCF if we didn't see a # (decf (lexer-pos lexer))))) (when *extended-mode-p* ;; now - if we're in extended mode - we skip whitespace and ;; comments; repeat the following loop while we look at ;; whitespace or #\# (loop while (and next-char (or (char= next-char #\#) (whitespacep next-char))) do (setq next-char (if (char= next-char #\#) ;; if we saw a comment marker skip until ;; we're behind #\Newline... (loop for skip-char = next-char then (next-char-non-extended lexer) while (and skip-char (char/= skip-char #\Newline)) finally (return (next-char-non-extended lexer))) ;; ...otherwise (whitespace) skip until we ;; see the next non-whitespace character (loop for skip-char = next-char then (next-char-non-extended lexer) while (and skip-char (whitespacep skip-char)) finally (return skip-char)))))) ;; if the position has moved we have to repeat our tests ;; because of cases like /^a (?#xxx) (?#yyy) {3}c/x which ;; would be equivalent to /^a{3}c/ in Perl (unless (> (lexer-pos lexer) last-loop-pos) (return next-char))))) (declaim (inline fail)) (defun fail (lexer) (declare #.*standard-optimize-settings*) "Moves (LEXER-POS LEXER) back to the last position stored in \(LEXER-LAST-POS LEXER) and pops the LAST-POS stack." (unless (lexer-last-pos lexer) (signal-syntax-error "LAST-POS stack of LEXER ~A is empty." lexer)) (setf (lexer-pos lexer) (pop (lexer-last-pos lexer))) nil) (defun get-number (lexer &key (radix 10) max-length no-whitespace-p) (declare #.*standard-optimize-settings*) "Read and consume the number the lexer is currently looking at and return it. Returns NIL if no number could be identified. RADIX is used as in PARSE-INTEGER. If MAX-LENGTH is not NIL we'll read at most the next MAX-LENGTH characters. If NO-WHITESPACE-P is not NIL we don't tolerate whitespace in front of the number." (when (or (end-of-string-p lexer) (and no-whitespace-p (whitespacep (schar (lexer-str lexer) (lexer-pos lexer))))) (return-from get-number nil)) (multiple-value-bind (integer new-pos) (parse-integer (lexer-str lexer) :start (lexer-pos lexer) :end (if max-length (let ((end-pos (+ (lexer-pos lexer) (the fixnum max-length))) (lexer-len (lexer-len lexer))) (if (< end-pos lexer-len) end-pos lexer-len)) (lexer-len lexer)) :radix radix :junk-allowed t) (cond ((and integer (>= (the fixnum integer) 0)) (setf (lexer-pos lexer) new-pos) integer) (t nil)))) (declaim (inline try-number)) (defun try-number (lexer &key (radix 10) max-length no-whitespace-p) (declare #.*standard-optimize-settings*) "Like GET-NUMBER but won't consume anything if no number is seen." ;; remember current position (push (lexer-pos lexer) (lexer-last-pos lexer)) (let ((number (get-number lexer :radix radix :max-length max-length :no-whitespace-p no-whitespace-p))) (or number (fail lexer)))) (declaim (inline make-char-from-code)) (defun make-char-from-code (number error-pos) (declare #.*standard-optimize-settings*) "Create character from char-code NUMBER. NUMBER can be NIL which is interpreted as 0. ERROR-POS is the position where the corresponding number started within the regex string." ;; only look at rightmost eight bits in compliance with Perl (let ((code (logand #o377 (the fixnum (or number 0))))) (or (and (< code char-code-limit) (code-char code)) (signal-syntax-error* error-pos "No character for hex-code ~X." number)))) (defun unescape-char (lexer) (declare #.*standard-optimize-settings*) "Convert the characters\(s) following a backslash into a token which is returned. This function is to be called when the backslash has already been consumed. Special character classes like \\W are handled elsewhere." (when (end-of-string-p lexer) (signal-syntax-error "String ends with backslash.")) (let ((chr (next-char-non-extended lexer))) (case chr ((#\E) ;; if \Q quoting is on this is ignored, otherwise it's just an ;; #\E (if *allow-quoting* :void #\E)) ((#\c) ;; \cx means control-x in Perl (let ((next-char (next-char-non-extended lexer))) (unless next-char (signal-syntax-error* (lexer-pos lexer) "Character missing after '\\c' at position ~A.")) (code-char (logxor #x40 (char-code (char-upcase next-char)))))) ((#\x) ;; \x should be followed by a hexadecimal char code, ;; two digits or less (let* ((error-pos (lexer-pos lexer)) (number (get-number lexer :radix 16 :max-length 2 :no-whitespace-p t))) ;; note that it is OK if \x is followed by zero digits (make-char-from-code number error-pos))) ((#\0 #\1 #\2 #\3 #\4 #\5 #\6 #\7 #\8 #\9) ;; \x should be followed by an octal char code, ;; three digits or less (let* ((error-pos (decf (lexer-pos lexer))) (number (get-number lexer :radix 8 :max-length 3))) (make-char-from-code number error-pos))) ;; the following five character names are 'semi-standard' ;; according to the CLHS but I'm not aware of any implementation ;; that doesn't implement them ((#\t) #\Tab) ((#\n) #\Newline) ((#\r) #\Return) ((#\f) #\Page) ((#\b) #\Backspace) ((#\a) (code-char 7)) ; ASCII bell ((#\e) (code-char 27)) ; ASCII escape (otherwise ;; all other characters aren't affected by a backslash chr)))) (defun read-char-property (lexer first-char) (declare #.*standard-optimize-settings*) (unless (eql (next-char-non-extended lexer) #\{) (signal-syntax-error* (lexer-pos lexer) "Expected left brace after \\~A." first-char)) (let ((name (with-output-to-string (out nil :element-type #+:lispworks 'lw:simple-char #-:lispworks 'character) (loop (let ((char (or (next-char-non-extended lexer) (signal-syntax-error "Unexpected EOF after \\~A{." first-char)))) (when (char= char #\}) (return)) (write-char char out)))))) (list (if (char= first-char #\p) :property :inverted-property) name))) (defun collect-char-class (lexer) "Reads and consumes characters from regex string until a right bracket is seen. Assembles them into a list \(which is returned) of characters, character ranges, like \(:RANGE #\\A #\\E) for a-e, and tokens representing special character classes." (declare #.*standard-optimize-settings*) (let ((start-pos (lexer-pos lexer)) ; remember start for error message hyphen-seen last-char list) (flet ((handle-char (c) "Do the right thing with character C depending on whether we're inside a range or not." (cond ((and hyphen-seen last-char) (setf (car list) (list :range last-char c) last-char nil)) (t (push c list) (setq last-char c))) (setq hyphen-seen nil))) (loop for first = t then nil for c = (next-char-non-extended lexer) ;; leave loop if at end of string while c do (cond ((char= c #\\) ;; we've seen a backslash (let ((next-char (next-char-non-extended lexer))) (case next-char ((#\d #\D #\w #\W #\s #\S) ;; a special character class (push (map-char-to-special-char-class next-char) list) ;; if the last character was a hyphen ;; just collect it literally (when hyphen-seen (push #\- list)) ;; if the next character is a hyphen do the same (when (looking-at-p lexer #\-) (push #\- list) (incf (lexer-pos lexer))) (setq hyphen-seen nil)) ((#\P #\p) ;; maybe a character property (cond ((null *property-resolver*) (handle-char next-char)) (t (push (read-char-property lexer next-char) list) ;; if the last character was a hyphen ;; just collect it literally (when hyphen-seen (push #\- list)) ;; if the next character is a hyphen do the same (when (looking-at-p lexer #\-) (push #\- list) (incf (lexer-pos lexer))) (setq hyphen-seen nil)))) ((#\E) ;; if \Q quoting is on we ignore \E, ;; otherwise it's just a plain #\E (unless *allow-quoting* (handle-char #\E))) (otherwise ;; otherwise unescape the following character(s) (decf (lexer-pos lexer)) (handle-char (unescape-char lexer)))))) (first ;; the first character must not be a right bracket ;; and isn't treated specially if it's a hyphen (handle-char c)) ((char= c #\]) ;; end of character class ;; make sure we collect a pending hyphen (when hyphen-seen (setq hyphen-seen nil) (handle-char #\-)) ;; reverse the list to preserve the order intended ;; by the author of the regex string (return-from collect-char-class (nreverse list))) ((and (char= c #\-) last-char (not hyphen-seen)) ;; if the last character was 'just a character' ;; we expect to be in the middle of a range (setq hyphen-seen t)) ((char= c #\-) ;; otherwise this is just an ordinary hyphen (handle-char #\-)) (t ;; default case - just collect the character (handle-char c)))) ;; we can only exit the loop normally if we've reached the end ;; of the regex string without seeing a right bracket (signal-syntax-error* start-pos "Missing right bracket to close character class.")))) (defun maybe-parse-flags (lexer) (declare #.*standard-optimize-settings*) "Reads a sequence of modifiers \(including #\\- to reverse their meaning) and returns a corresponding list of \"flag\" tokens. The \"x\" modifier is treated specially in that it dynamically modifies the behaviour of the lexer itself via the special variable *EXTENDED-MODE-P*." (prog1 (loop with set = t for chr = (next-char-non-extended lexer) unless chr do (signal-syntax-error "Unexpected end of string.") while (find chr "-imsx" :test #'char=) ;; the first #\- will invert the meaning of all modifiers ;; following it if (char= chr #\-) do (setq set nil) else if (char= chr #\x) do (setq *extended-mode-p* set) else collect (if set (case chr ((#\i) :case-insensitive-p) ((#\m) :multi-line-mode-p) ((#\s) :single-line-mode-p)) (case chr ((#\i) :case-sensitive-p) ((#\m) :not-multi-line-mode-p) ((#\s) :not-single-line-mode-p)))) (decf (lexer-pos lexer)))) (defun get-quantifier (lexer) (declare #.*standard-optimize-settings*) "Returns a list of two values (min max) if what the lexer is looking at can be interpreted as a quantifier. Otherwise returns NIL and resets the lexer to its old position." ;; remember starting position for FAIL and UNGET-TOKEN functions (push (lexer-pos lexer) (lexer-last-pos lexer)) (let ((next-char (next-char lexer))) (case next-char ((#\*) ;; * (Kleene star): match 0 or more times '(0 nil)) ((#\+) ;; +: match 1 or more times '(1 nil)) ((#\?) ;; ?: match 0 or 1 times '(0 1)) ((#\{) ;; one of ;; {n}: match exactly n times ;; {n,}: match at least n times ;; {n,m}: match at least n but not more than m times ;; note that anything not matching one of these patterns will ;; be interpreted literally - even whitespace isn't allowed (let ((num1 (get-number lexer :no-whitespace-p t))) (if num1 (let ((next-char (next-char-non-extended lexer))) (case next-char ((#\,) (let* ((num2 (get-number lexer :no-whitespace-p t)) (next-char (next-char-non-extended lexer))) (case next-char ((#\}) ;; this is the case {n,} (NUM2 is NIL) or {n,m} (list num1 num2)) (otherwise (fail lexer))))) ((#\}) ;; this is the case {n} (list num1 num1)) (otherwise (fail lexer)))) ;; no number following left curly brace, so we treat it ;; like a normal character (fail lexer)))) ;; cannot be a quantifier (otherwise (fail lexer))))) (defun parse-register-name-aux (lexer) "Reads and returns the name in a named register group. It is assumed that the starting #\< character has already been read. The closing #\> will also be consumed." ;; we have to look for an ending > character now (let ((end-name (position #\> (lexer-str lexer) :start (lexer-pos lexer) :test #'char=))) (unless end-name ;; there has to be > somewhere, syntax error otherwise (signal-syntax-error* (1- (lexer-pos lexer)) "Opening #\< in named group has no closing #\>.")) (let ((name (subseq (lexer-str lexer) (lexer-pos lexer) end-name))) (unless (every #'(lambda (char) (or (alphanumericp char) (char= #\- char))) name) ;; register name can contain only alphanumeric characters or #\- (signal-syntax-error* (lexer-pos lexer) "Invalid character in named register group.")) ;; advance lexer beyond "" part (setf (lexer-pos lexer) (1+ end-name)) name))) (defun get-token (lexer) (declare #.*standard-optimize-settings*) "Returns and consumes the next token from the regex string \(or NIL)." ;; remember starting position for UNGET-TOKEN function (push (lexer-pos lexer) (lexer-last-pos lexer)) (let ((next-char (next-char lexer))) (cond (next-char (case next-char ;; the easy cases first - the following six characters ;; always have a special meaning and get translated ;; into tokens immediately ((#\)) :close-paren) ((#\|) :vertical-bar) ((#\?) :question-mark) ((#\.) :everything) ((#\^) :start-anchor) ((#\$) :end-anchor) ((#\+ #\*) ;; quantifiers will always be consumend by ;; GET-QUANTIFIER, they must not appear here (signal-syntax-error* (1- (lexer-pos lexer)) "Quantifier '~A' not allowed." next-char)) ((#\{) ;; left brace isn't a special character in it's own ;; right but we must check if what follows might ;; look like a quantifier (let ((this-pos (lexer-pos lexer)) (this-last-pos (lexer-last-pos lexer))) (unget-token lexer) (when (get-quantifier lexer) (signal-syntax-error* (car this-last-pos) "Quantifier '~A' not allowed." (subseq (lexer-str lexer) (car this-last-pos) (lexer-pos lexer)))) (setf (lexer-pos lexer) this-pos (lexer-last-pos lexer) this-last-pos) next-char)) ((#\[) ;; left bracket always starts a character class (cons (cond ((looking-at-p lexer #\^) (incf (lexer-pos lexer)) :inverted-char-class) (t :char-class)) (collect-char-class lexer))) ((#\\) ;; backslash might mean different things so we have ;; to peek one char ahead: (let ((next-char (next-char-non-extended lexer))) (case next-char ((#\A) :modeless-start-anchor) ((#\Z) :modeless-end-anchor) ((#\z) :modeless-end-anchor-no-newline) ((#\b) :word-boundary) ((#\B) :non-word-boundary) ((#\k) (cond ((and *allow-named-registers* (looking-at-p lexer #\<)) ;; back-referencing a named register (incf (lexer-pos lexer)) (list :back-reference (parse-register-name-aux lexer))) (t ;; false alarm, just unescape \k #\k))) ((#\d #\D #\w #\W #\s #\S) ;; these will be treated like character classes (map-char-to-special-char-class next-char)) ((#\1 #\2 #\3 #\4 #\5 #\6 #\7 #\8 #\9) ;; uh, a digit... (let* ((old-pos (decf (lexer-pos lexer))) ;; ...so let's get the whole number first (backref-number (get-number lexer))) (declare (fixnum backref-number)) (cond ((and (> backref-number (lexer-reg lexer)) (<= 10 backref-number)) ;; \10 and higher are treated as octal ;; character codes if we haven't ;; opened that much register groups ;; yet (setf (lexer-pos lexer) old-pos) ;; re-read the number from the old ;; position and convert it to its ;; corresponding character (make-char-from-code (get-number lexer :radix 8 :max-length 3) old-pos)) (t ;; otherwise this must refer to a ;; backreference (list :back-reference backref-number))))) ((#\0) ;; this always means an octal character code ;; (at most three digits) (let ((old-pos (decf (lexer-pos lexer)))) (make-char-from-code (get-number lexer :radix 8 :max-length 3) old-pos))) ((#\P #\p) ;; might be a named property (cond (*property-resolver* (read-char-property lexer next-char)) (t next-char))) (otherwise ;; in all other cases just unescape the ;; character (decf (lexer-pos lexer)) (unescape-char lexer))))) ((#\() ;; an open parenthesis might mean different things ;; depending on what follows... (cond ((looking-at-p lexer #\?) ;; this is the case '(?' (and probably more behind) (incf (lexer-pos lexer)) ;; we have to check for modifiers first ;; because a colon might follow (let* ((flags (maybe-parse-flags lexer)) (next-char (next-char-non-extended lexer))) ;; modifiers are only allowed if a colon ;; or a closing parenthesis are following (when (and flags (not (find next-char ":)" :test #'char=))) (signal-syntax-error* (car (lexer-last-pos lexer)) "Sequence '~A' not recognized." (subseq (lexer-str lexer) (car (lexer-last-pos lexer)) (lexer-pos lexer)))) (case next-char ((nil) ;; syntax error (signal-syntax-error "End of string following '(?'.")) ((#\)) ;; an empty group except for the flags ;; (if there are any) (or (and flags (cons :flags flags)) :void)) ((#\() ;; branch :open-paren-paren) ((#\>) ;; standalone :open-paren-greater) ((#\=) ;; positive look-ahead :open-paren-equal) ((#\!) ;; negative look-ahead :open-paren-exclamation) ((#\:) ;; non-capturing group - return flags as ;; second value (values :open-paren-colon flags)) ((#\<) ;; might be a look-behind assertion or a named group, so ;; check next character (let ((next-char (next-char-non-extended lexer))) (if (alpha-char-p next-char) (progn ;; we have encountered a named group ;; are we supporting register naming? (unless *allow-named-registers* (signal-syntax-error* (1- (lexer-pos lexer)) "Character '~A' may not follow '(?<'." next-char)) ;; put the letter back (decf (lexer-pos lexer)) ;; named group :open-paren-less-letter) (case next-char ((#\=) ;; positive look-behind :open-paren-less-equal) ((#\!) ;; negative look-behind :open-paren-less-exclamation) ((#\)) ;; Perl allows "(?<)" and treats ;; it like a null string :void) ((nil) ;; syntax error (signal-syntax-error "End of string following '(?<'.")) (t ;; also syntax error (signal-syntax-error* (1- (lexer-pos lexer)) "Character '~A' may not follow '(?<'." next-char )))))) (otherwise (signal-syntax-error* (1- (lexer-pos lexer)) "Character '~A' may not follow '(?'." next-char))))) (t ;; if next-char was not #\? (this is within ;; the first COND), we've just seen an opening ;; parenthesis and leave it like that :open-paren))) (otherwise ;; all other characters are their own tokens next-char))) ;; we didn't get a character (this if the "else" branch from ;; the first IF), so we don't return a token but NIL (t (pop (lexer-last-pos lexer)) nil)))) (declaim (inline unget-token)) (defun unget-token (lexer) (declare #.*standard-optimize-settings*) "Moves the lexer back to the last position stored in the LAST-POS stack." (if (lexer-last-pos lexer) (setf (lexer-pos lexer) (pop (lexer-last-pos lexer))) (error "No token to unget \(this should not happen)"))) (declaim (inline start-of-subexpr-p)) (defun start-of-subexpr-p (lexer) (declare #.*standard-optimize-settings*) "Tests whether the next token can start a valid sub-expression, i.e. a stand-alone regex." (let* ((pos (lexer-pos lexer)) (next-char (next-char lexer))) (not (or (null next-char) (prog1 (member (the character next-char) '(#\) #\|) :test #'char=) (setf (lexer-pos lexer) pos)))))) cafeobj-1.5.4/cl-ppcre/optimize.lisp0000644000000000000000000006126112403660236016056 0ustar rootroot;;; -*- Mode: LISP; Syntax: COMMON-LISP; Package: CL-PPCRE; Base: 10 -*- ;;; $Header: /usr/local/cvsrep/cl-ppcre/optimize.lisp,v 1.36 2009/09/17 19:17:31 edi Exp $ ;;; This file contains optimizations which can be applied to converted ;;; parse trees. ;;; Copyright (c) 2002-2009, Dr. Edmund Weitz. All rights reserved. ;;; Redistribution and use in source and binary forms, with or without ;;; modification, are permitted provided that the following conditions ;;; are met: ;;; * Redistributions of source code must retain the above copyright ;;; notice, this list of conditions and the following disclaimer. ;;; * Redistributions in binary form must reproduce the above ;;; copyright notice, this list of conditions and the following ;;; disclaimer in the documentation and/or other materials ;;; provided with the distribution. ;;; THIS SOFTWARE IS PROVIDED BY THE AUTHOR 'AS IS' AND ANY EXPRESSED ;;; OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED ;;; WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ;;; ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY ;;; DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL ;;; DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE ;;; GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS ;;; INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, ;;; WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING ;;; NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS ;;; SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. (in-package :cl-ppcre) (defgeneric flatten (regex) (declare #.*standard-optimize-settings*) (:documentation "Merges adjacent sequences and alternations, i.e. it transforms # # #>> to # # #>. This is a destructive operation on REGEX.")) (defmethod flatten ((seq seq)) (declare #.*standard-optimize-settings*) ;; this looks more complicated than it is because we modify SEQ in ;; place to avoid unnecessary consing (let ((elements-rest (elements seq))) (loop (unless elements-rest (return)) (let ((flattened-element (flatten (car elements-rest))) (next-elements-rest (cdr elements-rest))) (cond ((typep flattened-element 'seq) ;; FLATTENED-ELEMENT is a SEQ object, so we "splice" ;; it into out list of elements (let ((flattened-element-elements (elements flattened-element))) (setf (car elements-rest) (car flattened-element-elements) (cdr elements-rest) (nconc (cdr flattened-element-elements) (cdr elements-rest))))) (t ;; otherwise we just replace the current element with ;; its flattened counterpart (setf (car elements-rest) flattened-element))) (setq elements-rest next-elements-rest)))) (let ((elements (elements seq))) (cond ((cadr elements) seq) ((cdr elements) (first elements)) (t (make-instance 'void))))) (defmethod flatten ((alternation alternation)) (declare #.*standard-optimize-settings*) ;; same algorithm as above (let ((choices-rest (choices alternation))) (loop (unless choices-rest (return)) (let ((flattened-choice (flatten (car choices-rest))) (next-choices-rest (cdr choices-rest))) (cond ((typep flattened-choice 'alternation) (let ((flattened-choice-choices (choices flattened-choice))) (setf (car choices-rest) (car flattened-choice-choices) (cdr choices-rest) (nconc (cdr flattened-choice-choices) (cdr choices-rest))))) (t (setf (car choices-rest) flattened-choice))) (setq choices-rest next-choices-rest)))) (let ((choices (choices alternation))) (cond ((cadr choices) alternation) ((cdr choices) (first choices)) (t (signal-syntax-error "Encountered alternation without choices."))))) (defmethod flatten ((branch branch)) (declare #.*standard-optimize-settings*) (with-slots (test then-regex else-regex) branch (setq test (if (numberp test) test (flatten test)) then-regex (flatten then-regex) else-regex (flatten else-regex)) branch)) (defmethod flatten ((regex regex)) (declare #.*standard-optimize-settings*) (typecase regex ((or repetition register lookahead lookbehind standalone) ;; if REGEX contains exactly one inner REGEX object flatten it (setf (regex regex) (flatten (regex regex))) regex) (t ;; otherwise (ANCHOR, BACK-REFERENCE, CHAR-CLASS, EVERYTHING, ;; LOOKAHEAD, LOOKBEHIND, STR, VOID, FILTER, and WORD-BOUNDARY) ;; do nothing regex))) (defgeneric gather-strings (regex) (declare #.*standard-optimize-settings*) (:documentation "Collects adjacent strings or characters into one string provided they have the same case mode. This is a destructive operation on REGEX.")) (defmethod gather-strings ((seq seq)) (declare #.*standard-optimize-settings*) ;; note that GATHER-STRINGS is to be applied after FLATTEN, i.e. it ;; expects SEQ to be flattened already; in particular, SEQ cannot be ;; empty and cannot contain embedded SEQ objects (let* ((start-point (cons nil (elements seq))) (curr-point start-point) old-case-mode collector collector-start (collector-length 0) skip) (declare (fixnum collector-length)) (loop (let ((elements-rest (cdr curr-point))) (unless elements-rest (return)) (let* ((element (car elements-rest)) (case-mode (case-mode element old-case-mode))) (cond ((and case-mode (eq case-mode old-case-mode)) ;; if ELEMENT is a STR and we have collected a STR of ;; the same case mode in the last iteration we ;; concatenate ELEMENT onto COLLECTOR and remember the ;; value of its SKIP slot (let ((old-collector-length collector-length)) (unless (and (adjustable-array-p collector) (array-has-fill-pointer-p collector)) (setq collector (make-array collector-length :initial-contents collector :element-type 'character :fill-pointer t :adjustable t) collector-start nil)) (adjust-array collector (incf collector-length (len element)) :fill-pointer t) (setf (subseq collector old-collector-length) (str element) ;; it suffices to remember the last SKIP slot ;; because due to the way MAYBE-ACCUMULATE ;; works adjacent STR objects have the same ;; SKIP value skip (skip element))) (setf (cdr curr-point) (cdr elements-rest))) (t (let ((collected-string (cond (collector-start collector-start) (collector ;; if we have collected something already ;; we convert it into a STR (make-instance 'str :skip skip :str collector :case-insensitive-p (eq old-case-mode :case-insensitive))) (t nil)))) (cond (case-mode ;; if ELEMENT is a string with a different case ;; mode than the last one we have either just ;; converted COLLECTOR into a STR or COLLECTOR ;; is still empty; in both cases we can now ;; begin to fill it anew (setq collector (str element) collector-start element ;; and we remember the SKIP value as above skip (skip element) collector-length (len element)) (cond (collected-string (setf (car elements-rest) collected-string curr-point (cdr curr-point))) (t (setf (cdr curr-point) (cdr elements-rest))))) (t ;; otherwise this is not a STR so we apply ;; GATHER-STRINGS to it and collect it directly ;; into RESULT (cond (collected-string (setf (car elements-rest) collected-string curr-point (cdr curr-point) (cdr curr-point) (cons (gather-strings element) (cdr curr-point)) curr-point (cdr curr-point))) (t (setf (car elements-rest) (gather-strings element) curr-point (cdr curr-point)))) ;; we also have to empty COLLECTOR here in case ;; it was still filled from the last iteration (setq collector nil collector-start nil)))))) (setq old-case-mode case-mode)))) (when collector (setf (cdr curr-point) (cons (make-instance 'str :skip skip :str collector :case-insensitive-p (eq old-case-mode :case-insensitive)) nil))) (setf (elements seq) (cdr start-point)) seq)) (defmethod gather-strings ((alternation alternation)) (declare #.*standard-optimize-settings*) ;; loop ON the choices of ALTERNATION so we can modify them directly (loop for choices-rest on (choices alternation) while choices-rest do (setf (car choices-rest) (gather-strings (car choices-rest)))) alternation) (defmethod gather-strings ((branch branch)) (declare #.*standard-optimize-settings*) (with-slots (test then-regex else-regex) branch (setq test (if (numberp test) test (gather-strings test)) then-regex (gather-strings then-regex) else-regex (gather-strings else-regex)) branch)) (defmethod gather-strings ((regex regex)) (declare #.*standard-optimize-settings*) (typecase regex ((or repetition register lookahead lookbehind standalone) ;; if REGEX contains exactly one inner REGEX object apply ;; GATHER-STRINGS to it (setf (regex regex) (gather-strings (regex regex))) regex) (t ;; otherwise (ANCHOR, BACK-REFERENCE, CHAR-CLASS, EVERYTHING, ;; LOOKAHEAD, LOOKBEHIND, STR, VOID, FILTER, and WORD-BOUNDARY) ;; do nothing regex))) ;; Note that START-ANCHORED-P will be called after FLATTEN and GATHER-STRINGS. (defgeneric start-anchored-p (regex &optional in-seq-p) (declare #.*standard-optimize-settings*) (:documentation "Returns T if REGEX starts with a \"real\" start anchor, i.e. one that's not in multi-line mode, NIL otherwise. If IN-SEQ-P is true the function will return :ZERO-LENGTH if REGEX is a zero-length assertion.")) (defmethod start-anchored-p ((seq seq) &optional in-seq-p) (declare (ignore in-seq-p)) ;; note that START-ANCHORED-P is to be applied after FLATTEN and ;; GATHER-STRINGS, i.e. SEQ cannot be empty and cannot contain ;; embedded SEQ objects (loop for element in (elements seq) for anchored-p = (start-anchored-p element t) ;; skip zero-length elements because they won't affect the ;; "anchoredness" of the sequence while (eq anchored-p :zero-length) finally (return (and anchored-p (not (eq anchored-p :zero-length)))))) (defmethod start-anchored-p ((alternation alternation) &optional in-seq-p) (declare #.*standard-optimize-settings*) (declare (ignore in-seq-p)) ;; clearly an alternation can only be start-anchored if all of its ;; choices are start-anchored (loop for choice in (choices alternation) always (start-anchored-p choice))) (defmethod start-anchored-p ((branch branch) &optional in-seq-p) (declare #.*standard-optimize-settings*) (declare (ignore in-seq-p)) (and (start-anchored-p (then-regex branch)) (start-anchored-p (else-regex branch)))) (defmethod start-anchored-p ((repetition repetition) &optional in-seq-p) (declare #.*standard-optimize-settings*) (declare (ignore in-seq-p)) ;; well, this wouldn't make much sense, but anyway... (and (plusp (minimum repetition)) (start-anchored-p (regex repetition)))) (defmethod start-anchored-p ((register register) &optional in-seq-p) (declare #.*standard-optimize-settings*) (declare (ignore in-seq-p)) (start-anchored-p (regex register))) (defmethod start-anchored-p ((standalone standalone) &optional in-seq-p) (declare #.*standard-optimize-settings*) (declare (ignore in-seq-p)) (start-anchored-p (regex standalone))) (defmethod start-anchored-p ((anchor anchor) &optional in-seq-p) (declare #.*standard-optimize-settings*) (declare (ignore in-seq-p)) (and (startp anchor) (not (multi-line-p anchor)))) (defmethod start-anchored-p ((regex regex) &optional in-seq-p) (declare #.*standard-optimize-settings*) (typecase regex ((or lookahead lookbehind word-boundary void) ;; zero-length assertions (if in-seq-p :zero-length nil)) (filter (if (and in-seq-p (len regex) (zerop (len regex))) :zero-length nil)) (t ;; BACK-REFERENCE, CHAR-CLASS, EVERYTHING, and STR nil))) ;; Note that END-STRING-AUX will be called after FLATTEN and GATHER-STRINGS. (defgeneric end-string-aux (regex &optional old-case-insensitive-p) (declare #.*standard-optimize-settings*) (:documentation "Returns the constant string (if it exists) REGEX ends with wrapped into a STR object, otherwise NIL. OLD-CASE-INSENSITIVE-P is the CASE-INSENSITIVE-P slot of the last STR collected or :VOID if no STR has been collected yet. (This is a helper function called by END-STRING.)")) (defmethod end-string-aux ((str str) &optional (old-case-insensitive-p :void)) (declare #.*standard-optimize-settings*) (declare (special last-str)) (cond ((and (not (skip str)) ; avoid constituents of STARTS-WITH ;; only use STR if nothing has been collected yet or if ;; the collected string has the same value for ;; CASE-INSENSITIVE-P (or (eq old-case-insensitive-p :void) (eq (case-insensitive-p str) old-case-insensitive-p))) (setf last-str str ;; set the SKIP property of this STR (skip str) t) str) (t nil))) (defmethod end-string-aux ((seq seq) &optional (old-case-insensitive-p :void)) (declare #.*standard-optimize-settings*) (declare (special continuep)) (let (case-insensitive-p concatenated-string concatenated-start (concatenated-length 0)) (declare (fixnum concatenated-length)) (loop for element in (reverse (elements seq)) ;; remember the case-(in)sensitivity of the last relevant ;; STR object for loop-old-case-insensitive-p = old-case-insensitive-p then (if skip loop-old-case-insensitive-p (case-insensitive-p element-end)) ;; the end-string of the current element for element-end = (end-string-aux element loop-old-case-insensitive-p) ;; whether we encountered a zero-length element for skip = (if element-end (zerop (len element-end)) nil) ;; set CONTINUEP to NIL if we have to stop collecting to ;; alert END-STRING-AUX methods on enclosing SEQ objects unless element-end do (setq continuep nil) ;; end loop if we neither got a STR nor a zero-length ;; element while element-end ;; only collect if not zero-length unless skip do (cond (concatenated-string (when concatenated-start (setf concatenated-string (make-array concatenated-length :initial-contents (reverse (str concatenated-start)) :element-type 'character :fill-pointer t :adjustable t) concatenated-start nil)) (let ((len (len element-end)) (str (str element-end))) (declare (fixnum len)) (incf concatenated-length len) (loop for i of-type fixnum downfrom (1- len) to 0 do (vector-push-extend (char str i) concatenated-string)))) (t (setf concatenated-string t concatenated-start element-end concatenated-length (len element-end) case-insensitive-p (case-insensitive-p element-end)))) ;; stop collecting if END-STRING-AUX on inner SEQ has said so while continuep) (cond ((zerop concatenated-length) ;; don't bother to return zero-length strings nil) (concatenated-start concatenated-start) (t (make-instance 'str :str (nreverse concatenated-string) :case-insensitive-p case-insensitive-p))))) (defmethod end-string-aux ((register register) &optional (old-case-insensitive-p :void)) (declare #.*standard-optimize-settings*) (end-string-aux (regex register) old-case-insensitive-p)) (defmethod end-string-aux ((standalone standalone) &optional (old-case-insensitive-p :void)) (declare #.*standard-optimize-settings*) (end-string-aux (regex standalone) old-case-insensitive-p)) (defmethod end-string-aux ((regex regex) &optional (old-case-insensitive-p :void)) (declare #.*standard-optimize-settings*) (declare (special last-str end-anchored-p continuep)) (typecase regex ((or anchor lookahead lookbehind word-boundary void) ;; a zero-length REGEX object - for the sake of END-STRING-AUX ;; this is a zero-length string (when (and (typep regex 'anchor) (not (startp regex)) (or (no-newline-p regex) (not (multi-line-p regex))) (eq old-case-insensitive-p :void)) ;; if this is a "real" end-anchor and we haven't collected ;; anything so far we can set END-ANCHORED-P (where 1 or 0 ;; indicate whether we accept a #\Newline at the end or not) (setq end-anchored-p (if (no-newline-p regex) 0 1))) (make-instance 'str :str "" :case-insensitive-p :void)) (t ;; (ALTERNATION, BACK-REFERENCE, BRANCH, CHAR-CLASS, EVERYTHING, ;; REPETITION, FILTER) nil))) (defun end-string (regex) (declare (special end-string-offset)) (declare #.*standard-optimize-settings*) "Returns the constant string (if it exists) REGEX ends with wrapped into a STR object, otherwise NIL." ;; LAST-STR points to the last STR object (seen from the end) that's ;; part of END-STRING; CONTINUEP is set to T if we stop collecting ;; in the middle of a SEQ (let ((continuep t) last-str) (declare (special continuep last-str)) (prog1 (end-string-aux regex) (when last-str ;; if we've found something set the START-OF-END-STRING-P of ;; the leftmost STR collected accordingly and remember the ;; OFFSET of this STR (in a special variable provided by the ;; caller of this function) (setf (start-of-end-string-p last-str) t end-string-offset (offset last-str)))))) (defgeneric compute-min-rest (regex current-min-rest) (declare #.*standard-optimize-settings*) (:documentation "Returns the minimal length of REGEX plus CURRENT-MIN-REST. This is similar to REGEX-MIN-LENGTH except that it recurses down into REGEX and sets the MIN-REST slots of REPETITION objects.")) (defmethod compute-min-rest ((seq seq) current-min-rest) (declare #.*standard-optimize-settings*) (loop for element in (reverse (elements seq)) for last-min-rest = current-min-rest then this-min-rest for this-min-rest = (compute-min-rest element last-min-rest) finally (return this-min-rest))) (defmethod compute-min-rest ((alternation alternation) current-min-rest) (declare #.*standard-optimize-settings*) (loop for choice in (choices alternation) minimize (compute-min-rest choice current-min-rest))) (defmethod compute-min-rest ((branch branch) current-min-rest) (declare #.*standard-optimize-settings*) (min (compute-min-rest (then-regex branch) current-min-rest) (compute-min-rest (else-regex branch) current-min-rest))) (defmethod compute-min-rest ((str str) current-min-rest) (declare #.*standard-optimize-settings*) (+ current-min-rest (len str))) (defmethod compute-min-rest ((filter filter) current-min-rest) (declare #.*standard-optimize-settings*) (+ current-min-rest (or (len filter) 0))) (defmethod compute-min-rest ((repetition repetition) current-min-rest) (declare #.*standard-optimize-settings*) (setf (min-rest repetition) current-min-rest) (compute-min-rest (regex repetition) current-min-rest) (+ current-min-rest (* (minimum repetition) (min-len repetition)))) (defmethod compute-min-rest ((register register) current-min-rest) (declare #.*standard-optimize-settings*) (compute-min-rest (regex register) current-min-rest)) (defmethod compute-min-rest ((standalone standalone) current-min-rest) (declare #.*standard-optimize-settings*) (declare (ignore current-min-rest)) (compute-min-rest (regex standalone) 0)) (defmethod compute-min-rest ((lookahead lookahead) current-min-rest) (declare #.*standard-optimize-settings*) (compute-min-rest (regex lookahead) 0) current-min-rest) (defmethod compute-min-rest ((lookbehind lookbehind) current-min-rest) (declare #.*standard-optimize-settings*) (compute-min-rest (regex lookbehind) (+ current-min-rest (len lookbehind))) current-min-rest) (defmethod compute-min-rest ((regex regex) current-min-rest) (declare #.*standard-optimize-settings*) (typecase regex ((or char-class everything) (1+ current-min-rest)) (t ;; zero min-len and no embedded regexes (ANCHOR, ;; BACK-REFERENCE, VOID, and WORD-BOUNDARY) current-min-rest))) cafeobj-1.5.4/cl-ppcre/packages.lisp0000644000000000000000000000520512403660236015770 0ustar rootroot;;; -*- Mode: LISP; Syntax: COMMON-LISP; Package: CL-USER; Base: 10 -*- ;;; $Header: /usr/local/cvsrep/cl-ppcre/packages.lisp,v 1.39 2009/09/17 19:17:31 edi Exp $ ;;; Copyright (c) 2002-2009, Dr. Edmund Weitz. All rights reserved. ;;; Redistribution and use in source and binary forms, with or without ;;; modification, are permitted provided that the following conditions ;;; are met: ;;; * Redistributions of source code must retain the above copyright ;;; notice, this list of conditions and the following disclaimer. ;;; * Redistributions in binary form must reproduce the above ;;; copyright notice, this list of conditions and the following ;;; disclaimer in the documentation and/or other materials ;;; provided with the distribution. ;;; THIS SOFTWARE IS PROVIDED BY THE AUTHOR 'AS IS' AND ANY EXPRESSED ;;; OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED ;;; WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ;;; ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY ;;; DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL ;;; DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE ;;; GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS ;;; INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, ;;; WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING ;;; NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS ;;; SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. (in-package :cl-user) (defpackage :cl-ppcre (:nicknames :ppcre) #+:genera (:shadowing-import-from :common-lisp :lambda :simple-string :string) (:use #-:genera :cl #+:genera :future-common-lisp) (:shadow :digit-char-p :defconstant) (:export :parse-string :create-scanner :create-optimized-test-function :parse-tree-synonym :define-parse-tree-synonym :scan :scan-to-strings :do-scans :do-matches :do-matches-as-strings :all-matches :all-matches-as-strings :split :regex-replace :regex-replace-all :regex-apropos :regex-apropos-list :quote-meta-chars :*regex-char-code-limit* :*use-bmh-matchers* :*allow-quoting* :*allow-named-registers* :*optimize-char-classes* :*property-resolver* :ppcre-error :ppcre-invocation-error :ppcre-syntax-error :ppcre-syntax-error-string :ppcre-syntax-error-pos :register-groups-bind :do-register-groups)) cafeobj-1.5.4/cl-ppcre/parser.lisp0000644000000000000000000003372212403660236015513 0ustar rootroot;;; -*- Mode: LISP; Syntax: COMMON-LISP; Package: CL-PPCRE; Base: 10 -*- ;;; $Header: /usr/local/cvsrep/cl-ppcre/parser.lisp,v 1.31 2009/09/17 19:17:31 edi Exp $ ;;; The parser will - with the help of the lexer - parse a regex ;;; string and convert it into a "parse tree" (see docs for details ;;; about the syntax of these trees). Note that the lexer might ;;; return illegal parse trees. It is assumed that the conversion ;;; process later on will track them down. ;;; Copyright (c) 2002-2009, Dr. Edmund Weitz. All rights reserved. ;;; Redistribution and use in source and binary forms, with or without ;;; modification, are permitted provided that the following conditions ;;; are met: ;;; * Redistributions of source code must retain the above copyright ;;; notice, this list of conditions and the following disclaimer. ;;; * Redistributions in binary form must reproduce the above ;;; copyright notice, this list of conditions and the following ;;; disclaimer in the documentation and/or other materials ;;; provided with the distribution. ;;; THIS SOFTWARE IS PROVIDED BY THE AUTHOR 'AS IS' AND ANY EXPRESSED ;;; OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED ;;; WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ;;; ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY ;;; DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL ;;; DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE ;;; GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS ;;; INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, ;;; WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING ;;; NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS ;;; SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. (in-package :cl-ppcre) (defun group (lexer) "Parses and consumes a . The productions are: -> \"\(\"\")\" \"\(?:\"\")\" \"\(?>\"\")\" \"\(?:\"\")\" \"\(?=\"\")\" \"\(?!\"\")\" \"\(?<=\"\")\" \"\(?\")\" \"\(?\(\"\")\"\")\" \"\(?\(\"\")\"\")\" \"\(?\"\")\" \(when *ALLOW-NAMED-REGISTERS* is T) where is parsed by the lexer function MAYBE-PARSE-FLAGS. Will return or \( ) where is one of six keywords - see source for details." (declare #.*standard-optimize-settings*) (multiple-value-bind (open-token flags) (get-token lexer) (cond ((eq open-token :open-paren-paren) ;; special case for conditional regular expressions; note ;; that at this point we accept a couple of illegal ;; combinations which'll be sorted out later by the ;; converter (let* ((open-paren-pos (car (lexer-last-pos lexer))) ;; check if what follows "(?(" is a number (number (try-number lexer :no-whitespace-p t)) ;; make changes to extended-mode-p local (*extended-mode-p* *extended-mode-p*)) (declare (fixnum open-paren-pos)) (cond (number ;; condition is a number (i.e. refers to a ;; back-reference) (let* ((inner-close-token (get-token lexer)) (reg-expr (reg-expr lexer)) (close-token (get-token lexer))) (unless (eq inner-close-token :close-paren) (signal-syntax-error* (+ open-paren-pos 2) "Opening paren has no matching closing paren.")) (unless (eq close-token :close-paren) (signal-syntax-error* open-paren-pos "Opening paren has no matching closing paren.")) (list :branch number reg-expr))) (t ;; condition must be a full regex (actually a ;; look-behind or look-ahead); and here comes a ;; terrible kludge: instead of being cleanly ;; separated from the lexer, the parser pushes ;; back the lexer by one position, thereby ;; landing in the middle of the 'token' "(?(" - ;; yuck!! (decf (lexer-pos lexer)) (let* ((inner-reg-expr (group lexer)) (reg-expr (reg-expr lexer)) (close-token (get-token lexer))) (unless (eq close-token :close-paren) (signal-syntax-error* open-paren-pos "Opening paren has no matching closing paren.")) (list :branch inner-reg-expr reg-expr)))))) ((member open-token '(:open-paren :open-paren-colon :open-paren-greater :open-paren-equal :open-paren-exclamation :open-paren-less-equal :open-paren-less-exclamation :open-paren-less-letter) :test #'eq) ;; make changes to extended-mode-p local (let ((*extended-mode-p* *extended-mode-p*)) ;; we saw one of the six token representing opening ;; parentheses (let* ((open-paren-pos (car (lexer-last-pos lexer))) (register-name (when (eq open-token :open-paren-less-letter) (parse-register-name-aux lexer))) (reg-expr (reg-expr lexer)) (close-token (get-token lexer))) (when (or (eq open-token :open-paren) (eq open-token :open-paren-less-letter)) ;; if this is the "("")" or "(?"""")" production we have to ;; increment the register counter of the lexer (incf (lexer-reg lexer))) (unless (eq close-token :close-paren) ;; the token following must be the closing ;; parenthesis or this is a syntax error (signal-syntax-error* open-paren-pos "Opening paren has no matching closing paren.")) (if flags ;; if the lexer has returned a list of flags this must ;; have been the "(?:"")" production (cons :group (nconc flags (list reg-expr))) (if (eq open-token :open-paren-less-letter) (list :named-register register-name reg-expr) (list (case open-token ((:open-paren) :register) ((:open-paren-colon) :group) ((:open-paren-greater) :standalone) ((:open-paren-equal) :positive-lookahead) ((:open-paren-exclamation) :negative-lookahead) ((:open-paren-less-equal) :positive-lookbehind) ((:open-paren-less-exclamation) :negative-lookbehind)) reg-expr)))))) (t ;; this is the production; is ;; any token which passes START-OF-SUBEXPR-P (otherwise ;; parsing had already stopped in the SEQ method) open-token)))) (defun greedy-quant (lexer) "Parses and consumes a . The productions are: -> | where is parsed by the lexer function GET-QUANTIFIER. Will return or (:GREEDY-REPETITION )." (declare #.*standard-optimize-settings*) (let* ((group (group lexer)) (token (get-quantifier lexer))) (if token ;; if GET-QUANTIFIER returned a non-NIL value it's the ;; two-element list ( ) (list :greedy-repetition (first token) (second token) group) group))) (defun quant (lexer) "Parses and consumes a . The productions are: -> | \"?\". Will return the returned by GREEDY-QUANT and optionally change :GREEDY-REPETITION to :NON-GREEDY-REPETITION." (declare #.*standard-optimize-settings*) (let* ((greedy-quant (greedy-quant lexer)) (pos (lexer-pos lexer)) (next-char (next-char lexer))) (when next-char (if (char= next-char #\?) (setf (car greedy-quant) :non-greedy-repetition) (setf (lexer-pos lexer) pos))) greedy-quant)) (defun seq (lexer) "Parses and consumes a . The productions are: -> | . Will return or (:SEQUENCE )." (declare #.*standard-optimize-settings*) (flet ((make-array-from-two-chars (char1 char2) (let ((string (make-array 2 :element-type 'character :fill-pointer t :adjustable t))) (setf (aref string 0) char1) (setf (aref string 1) char2) string))) ;; Note that we're calling START-OF-SUBEXPR-P before we actually try ;; to parse a or in order to catch empty regular ;; expressions (if (start-of-subexpr-p lexer) (loop with seq-is-sequence-p = nil with last-cdr for quant = (quant lexer) for quant-is-char-p = (characterp quant) for seq = quant then (cond ((and quant-is-char-p (characterp seq)) (make-array-from-two-chars seq quant)) ((and quant-is-char-p (stringp seq)) (vector-push-extend quant seq) seq) ((not seq-is-sequence-p) (setf last-cdr (list quant) seq-is-sequence-p t) (list* :sequence seq last-cdr)) ((and quant-is-char-p (characterp (car last-cdr))) (setf (car last-cdr) (make-array-from-two-chars (car last-cdr) quant)) seq) ((and quant-is-char-p (stringp (car last-cdr))) (vector-push-extend quant (car last-cdr)) seq) (t ;; if is also a :SEQUENCE parse tree we merge ;; both lists into one (let ((cons (list quant))) (psetf last-cdr cons (cdr last-cdr) cons)) seq)) while (start-of-subexpr-p lexer) finally (return seq)) :void))) (defun reg-expr (lexer) "Parses and consumes a , a complete regular expression. The productions are: -> | \"|\". Will return or (:ALTERNATION )." (declare #.*standard-optimize-settings*) (let ((pos (lexer-pos lexer))) (case (next-char lexer) ((nil) ;; if we didn't get any token we return :VOID which stands for ;; "empty regular expression" :void) ((#\|) ;; now check whether the expression started with a vertical ;; bar, i.e. - the left alternation - is empty (list :alternation :void (reg-expr lexer))) (otherwise ;; otherwise un-read the character we just saw and parse a ;; plus the character following it (setf (lexer-pos lexer) pos) (let* ((seq (seq lexer)) (pos (lexer-pos lexer))) (case (next-char lexer) ((nil) ;; no further character, just a seq) ((#\|) ;; if the character was a vertical bar, this is an ;; alternation and we have the second production (let ((reg-expr (reg-expr lexer))) (cond ((and (consp reg-expr) (eq (first reg-expr) :alternation)) ;; again we try to merge as above in SEQ (setf (cdr reg-expr) (cons seq (cdr reg-expr))) reg-expr) (t (list :alternation seq reg-expr))))) (otherwise ;; a character which is not a vertical bar - this is ;; either a syntax error or we're inside of a group and ;; the next character is a closing parenthesis; so we ;; just un-read the character and let another function ;; take care of it (setf (lexer-pos lexer) pos) seq))))))) (defun parse-string (string) "Translate the regex string STRING into a parse tree." (declare #.*standard-optimize-settings*) (let* ((lexer (make-lexer string)) (parse-tree (reg-expr lexer))) ;; check whether we've consumed the whole regex string (if (end-of-string-p lexer) parse-tree (signal-syntax-error* (lexer-pos lexer) "Expected end of string.")))) cafeobj-1.5.4/cl-ppcre/regex-class-util.lisp0000644000000000000000000004771012403660236017411 0ustar rootroot;;; -*- Mode: LISP; Syntax: COMMON-LISP; Package: CL-PPCRE; Base: 10 -*- ;;; $Header: /usr/local/cvsrep/cl-ppcre/regex-class-util.lisp,v 1.9 2009/09/17 19:17:31 edi Exp $ ;;; This file contains some utility methods for REGEX objects. ;;; Copyright (c) 2002-2009, Dr. Edmund Weitz. All rights reserved. ;;; Redistribution and use in source and binary forms, with or without ;;; modification, are permitted provided that the following conditions ;;; are met: ;;; * Redistributions of source code must retain the above copyright ;;; notice, this list of conditions and the following disclaimer. ;;; * Redistributions in binary form must reproduce the above ;;; copyright notice, this list of conditions and the following ;;; disclaimer in the documentation and/or other materials ;;; provided with the distribution. ;;; THIS SOFTWARE IS PROVIDED BY THE AUTHOR 'AS IS' AND ANY EXPRESSED ;;; OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED ;;; WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ;;; ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY ;;; DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL ;;; DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE ;;; GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS ;;; INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, ;;; WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING ;;; NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS ;;; SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. (in-package :cl-ppcre) ;;; The following four methods allow a VOID object to behave like a ;;; zero-length STR object (only readers needed) (defmethod len ((void void)) (declare #.*standard-optimize-settings*) 0) (defmethod str ((void void)) (declare #.*standard-optimize-settings*) "") (defmethod skip ((void void)) (declare #.*standard-optimize-settings*) nil) (defmethod start-of-end-string-p ((void void)) (declare #.*standard-optimize-settings*) nil) (defgeneric case-mode (regex old-case-mode) (declare #.*standard-optimize-settings*) (:documentation "Utility function used by the optimizer (see GATHER-STRINGS). Returns a keyword denoting the case-(in)sensitivity of a STR or its second argument if the STR has length 0. Returns NIL for REGEX objects which are not of type STR.")) (defmethod case-mode ((str str) old-case-mode) (declare #.*standard-optimize-settings*) (cond ((zerop (len str)) old-case-mode) ((case-insensitive-p str) :case-insensitive) (t :case-sensitive))) (defmethod case-mode ((regex regex) old-case-mode) (declare #.*standard-optimize-settings*) (declare (ignore old-case-mode)) nil) (defgeneric copy-regex (regex) (declare #.*standard-optimize-settings*) (:documentation "Implements a deep copy of a REGEX object.")) (defmethod copy-regex ((anchor anchor)) (declare #.*standard-optimize-settings*) (make-instance 'anchor :startp (startp anchor) :multi-line-p (multi-line-p anchor) :no-newline-p (no-newline-p anchor))) (defmethod copy-regex ((everything everything)) (declare #.*standard-optimize-settings*) (make-instance 'everything :single-line-p (single-line-p everything))) (defmethod copy-regex ((word-boundary word-boundary)) (declare #.*standard-optimize-settings*) (make-instance 'word-boundary :negatedp (negatedp word-boundary))) (defmethod copy-regex ((void void)) (declare #.*standard-optimize-settings*) (make-instance 'void)) (defmethod copy-regex ((lookahead lookahead)) (declare #.*standard-optimize-settings*) (make-instance 'lookahead :regex (copy-regex (regex lookahead)) :positivep (positivep lookahead))) (defmethod copy-regex ((seq seq)) (declare #.*standard-optimize-settings*) (make-instance 'seq :elements (mapcar #'copy-regex (elements seq)))) (defmethod copy-regex ((alternation alternation)) (declare #.*standard-optimize-settings*) (make-instance 'alternation :choices (mapcar #'copy-regex (choices alternation)))) (defmethod copy-regex ((branch branch)) (declare #.*standard-optimize-settings*) (with-slots (test) branch (make-instance 'branch :test (if (typep test 'regex) (copy-regex test) test) :then-regex (copy-regex (then-regex branch)) :else-regex (copy-regex (else-regex branch))))) (defmethod copy-regex ((lookbehind lookbehind)) (declare #.*standard-optimize-settings*) (make-instance 'lookbehind :regex (copy-regex (regex lookbehind)) :positivep (positivep lookbehind) :len (len lookbehind))) (defmethod copy-regex ((repetition repetition)) (declare #.*standard-optimize-settings*) (make-instance 'repetition :regex (copy-regex (regex repetition)) :greedyp (greedyp repetition) :minimum (minimum repetition) :maximum (maximum repetition) :min-len (min-len repetition) :len (len repetition) :contains-register-p (contains-register-p repetition))) (defmethod copy-regex ((register register)) (declare #.*standard-optimize-settings*) (make-instance 'register :regex (copy-regex (regex register)) :num (num register) :name (name register))) (defmethod copy-regex ((standalone standalone)) (declare #.*standard-optimize-settings*) (make-instance 'standalone :regex (copy-regex (regex standalone)))) (defmethod copy-regex ((back-reference back-reference)) (declare #.*standard-optimize-settings*) (make-instance 'back-reference :num (num back-reference) :case-insensitive-p (case-insensitive-p back-reference))) (defmethod copy-regex ((char-class char-class)) (declare #.*standard-optimize-settings*) (make-instance 'char-class :test-function (test-function char-class))) (defmethod copy-regex ((str str)) (declare #.*standard-optimize-settings*) (make-instance 'str :str (str str) :case-insensitive-p (case-insensitive-p str))) (defmethod copy-regex ((filter filter)) (declare #.*standard-optimize-settings*) (make-instance 'filter :fn (fn filter) :len (len filter))) ;;; Note that COPY-REGEX and REMOVE-REGISTERS could have easily been ;;; wrapped into one function. Maybe in the next release... ;;; Further note that this function is used by CONVERT to factor out ;;; complicated repetitions, i.e. cases like ;;; (a)* -> (?:a*(a))? ;;; This won't work for, say, ;;; ((a)|(b))* -> (?:(?:a|b)*((a)|(b)))? ;;; and therefore we stop REGISTER removal once we see an ALTERNATION. (defgeneric remove-registers (regex) (declare #.*standard-optimize-settings*) (:documentation "Returns a deep copy of a REGEX (see COPY-REGEX) and optionally removes embedded REGISTER objects if possible and if the special variable REMOVE-REGISTERS-P is true.")) (defmethod remove-registers ((register register)) (declare #.*standard-optimize-settings*) (declare (special remove-registers-p reg-seen)) (cond (remove-registers-p (remove-registers (regex register))) (t ;; mark REG-SEEN as true so enclosing REPETITION objects ;; (see method below) know if they contain a register or not (setq reg-seen t) (copy-regex register)))) (defmethod remove-registers ((repetition repetition)) (declare #.*standard-optimize-settings*) (let* (reg-seen (inner-regex (remove-registers (regex repetition)))) ;; REMOVE-REGISTERS will set REG-SEEN (see method above) if ;; (REGEX REPETITION) contains a REGISTER (declare (special reg-seen)) (make-instance 'repetition :regex inner-regex :greedyp (greedyp repetition) :minimum (minimum repetition) :maximum (maximum repetition) :min-len (min-len repetition) :len (len repetition) :contains-register-p reg-seen))) (defmethod remove-registers ((standalone standalone)) (declare #.*standard-optimize-settings*) (make-instance 'standalone :regex (remove-registers (regex standalone)))) (defmethod remove-registers ((lookahead lookahead)) (declare #.*standard-optimize-settings*) (make-instance 'lookahead :regex (remove-registers (regex lookahead)) :positivep (positivep lookahead))) (defmethod remove-registers ((lookbehind lookbehind)) (declare #.*standard-optimize-settings*) (make-instance 'lookbehind :regex (remove-registers (regex lookbehind)) :positivep (positivep lookbehind) :len (len lookbehind))) (defmethod remove-registers ((branch branch)) (declare #.*standard-optimize-settings*) (with-slots (test) branch (make-instance 'branch :test (if (typep test 'regex) (remove-registers test) test) :then-regex (remove-registers (then-regex branch)) :else-regex (remove-registers (else-regex branch))))) (defmethod remove-registers ((alternation alternation)) (declare #.*standard-optimize-settings*) (declare (special remove-registers-p)) ;; an ALTERNATION, so we can't remove REGISTER objects further down (setq remove-registers-p nil) (copy-regex alternation)) (defmethod remove-registers ((regex regex)) (declare #.*standard-optimize-settings*) (copy-regex regex)) (defmethod remove-registers ((seq seq)) (declare #.*standard-optimize-settings*) (make-instance 'seq :elements (mapcar #'remove-registers (elements seq)))) (defgeneric everythingp (regex) (declare #.*standard-optimize-settings*) (:documentation "Returns an EVERYTHING object if REGEX is equivalent to this object, otherwise NIL. So, \"(.){1}\" would return true \(i.e. the object corresponding to \".\", for example.")) (defmethod everythingp ((seq seq)) (declare #.*standard-optimize-settings*) ;; we might have degenerate cases like (:SEQUENCE :VOID ...) ;; due to the parsing process (let ((cleaned-elements (remove-if #'(lambda (element) (typep element 'void)) (elements seq)))) (and (= 1 (length cleaned-elements)) (everythingp (first cleaned-elements))))) (defmethod everythingp ((alternation alternation)) (declare #.*standard-optimize-settings*) (with-slots (choices) alternation (and (= 1 (length choices)) ;; this is unlikely to happen for human-generated regexes, ;; but machine-generated ones might look like this (everythingp (first choices))))) (defmethod everythingp ((repetition repetition)) (declare #.*standard-optimize-settings*) (with-slots (maximum minimum regex) repetition (and maximum (= 1 minimum maximum) ;; treat "{1,1}" like "" (everythingp regex)))) (defmethod everythingp ((register register)) (declare #.*standard-optimize-settings*) (everythingp (regex register))) (defmethod everythingp ((standalone standalone)) (declare #.*standard-optimize-settings*) (everythingp (regex standalone))) (defmethod everythingp ((everything everything)) (declare #.*standard-optimize-settings*) everything) (defmethod everythingp ((regex regex)) (declare #.*standard-optimize-settings*) ;; the general case for ANCHOR, BACK-REFERENCE, BRANCH, CHAR-CLASS, ;; LOOKAHEAD, LOOKBEHIND, STR, VOID, FILTER, and WORD-BOUNDARY nil) (defgeneric regex-length (regex) (declare #.*standard-optimize-settings*) (:documentation "Return the length of REGEX if it is fixed, NIL otherwise.")) (defmethod regex-length ((seq seq)) (declare #.*standard-optimize-settings*) ;; simply add all inner lengths unless one of them is NIL (loop for sub-regex in (elements seq) for len = (regex-length sub-regex) if (not len) do (return nil) sum len)) (defmethod regex-length ((alternation alternation)) (declare #.*standard-optimize-settings*) ;; only return a true value if all inner lengths are non-NIL and ;; mutually equal (loop for sub-regex in (choices alternation) for old-len = nil then len for len = (regex-length sub-regex) if (or (not len) (and old-len (/= len old-len))) do (return nil) finally (return len))) (defmethod regex-length ((branch branch)) (declare #.*standard-optimize-settings*) ;; only return a true value if both alternations have a length and ;; if they're equal (let ((then-length (regex-length (then-regex branch)))) (and then-length (eql then-length (regex-length (else-regex branch))) then-length))) (defmethod regex-length ((repetition repetition)) (declare #.*standard-optimize-settings*) ;; we can only compute the length of a REPETITION object if the ;; number of repetitions is fixed; note that we don't call ;; REGEX-LENGTH for the inner regex, we assume that the LEN slot is ;; always set correctly (with-slots (len minimum maximum) repetition (if (and len (eql minimum maximum)) (* minimum len) nil))) (defmethod regex-length ((register register)) (declare #.*standard-optimize-settings*) (regex-length (regex register))) (defmethod regex-length ((standalone standalone)) (declare #.*standard-optimize-settings*) (regex-length (regex standalone))) (defmethod regex-length ((back-reference back-reference)) (declare #.*standard-optimize-settings*) ;; with enough effort we could possibly do better here, but ;; currently we just give up and return NIL nil) (defmethod regex-length ((char-class char-class)) (declare #.*standard-optimize-settings*) 1) (defmethod regex-length ((everything everything)) (declare #.*standard-optimize-settings*) 1) (defmethod regex-length ((str str)) (declare #.*standard-optimize-settings*) (len str)) (defmethod regex-length ((filter filter)) (declare #.*standard-optimize-settings*) (len filter)) (defmethod regex-length ((regex regex)) (declare #.*standard-optimize-settings*) ;; the general case for ANCHOR, LOOKAHEAD, LOOKBEHIND, VOID, and ;; WORD-BOUNDARY (which all have zero-length) 0) (defgeneric regex-min-length (regex) (declare #.*standard-optimize-settings*) (:documentation "Returns the minimal length of REGEX.")) (defmethod regex-min-length ((seq seq)) (declare #.*standard-optimize-settings*) ;; simply add all inner minimal lengths (loop for sub-regex in (elements seq) for len = (regex-min-length sub-regex) sum len)) (defmethod regex-min-length ((alternation alternation)) (declare #.*standard-optimize-settings*) ;; minimal length of an alternation is the minimal length of the ;; "shortest" element (loop for sub-regex in (choices alternation) for len = (regex-min-length sub-regex) minimize len)) (defmethod regex-min-length ((branch branch)) (declare #.*standard-optimize-settings*) ;; minimal length of both alternations (min (regex-min-length (then-regex branch)) (regex-min-length (else-regex branch)))) (defmethod regex-min-length ((repetition repetition)) (declare #.*standard-optimize-settings*) ;; obviously the product of the inner minimal length and the minimal ;; number of repetitions (* (minimum repetition) (min-len repetition))) (defmethod regex-min-length ((register register)) (declare #.*standard-optimize-settings*) (regex-min-length (regex register))) (defmethod regex-min-length ((standalone standalone)) (declare #.*standard-optimize-settings*) (regex-min-length (regex standalone))) (defmethod regex-min-length ((char-class char-class)) (declare #.*standard-optimize-settings*) 1) (defmethod regex-min-length ((everything everything)) (declare #.*standard-optimize-settings*) 1) (defmethod regex-min-length ((str str)) (declare #.*standard-optimize-settings*) (len str)) (defmethod regex-min-length ((filter filter)) (declare #.*standard-optimize-settings*) (or (len filter) 0)) (defmethod regex-min-length ((regex regex)) (declare #.*standard-optimize-settings*) ;; the general case for ANCHOR, BACK-REFERENCE, LOOKAHEAD, ;; LOOKBEHIND, VOID, and WORD-BOUNDARY 0) (defgeneric compute-offsets (regex start-pos) (declare #.*standard-optimize-settings*) (:documentation "Returns the offset the following regex would have relative to START-POS or NIL if we can't compute it. Sets the OFFSET slot of REGEX to START-POS if REGEX is a STR. May also affect OFFSET slots of STR objects further down the tree.")) ;; note that we're actually only interested in the offset of ;; "top-level" STR objects (see ADVANCE-FN in the SCAN function) so we ;; can stop at variable-length alternations and don't need to descend ;; into repetitions (defmethod compute-offsets ((seq seq) start-pos) (declare #.*standard-optimize-settings*) (loop for element in (elements seq) ;; advance offset argument for next call while looping through ;; the elements for pos = start-pos then curr-offset for curr-offset = (compute-offsets element pos) while curr-offset finally (return curr-offset))) (defmethod compute-offsets ((alternation alternation) start-pos) (declare #.*standard-optimize-settings*) (loop for choice in (choices alternation) for old-offset = nil then curr-offset for curr-offset = (compute-offsets choice start-pos) ;; we stop immediately if two alternations don't result in the ;; same offset if (or (not curr-offset) (and old-offset (/= curr-offset old-offset))) do (return nil) finally (return curr-offset))) (defmethod compute-offsets ((branch branch) start-pos) (declare #.*standard-optimize-settings*) ;; only return offset if both alternations have equal value (let ((then-offset (compute-offsets (then-regex branch) start-pos))) (and then-offset (eql then-offset (compute-offsets (else-regex branch) start-pos)) then-offset))) (defmethod compute-offsets ((repetition repetition) start-pos) (declare #.*standard-optimize-settings*) ;; no need to descend into the inner regex (with-slots (len minimum maximum) repetition (if (and len (eq minimum maximum)) ;; fixed number of repetitions, so we know how to proceed (+ start-pos (* minimum len)) ;; otherwise return NIL nil))) (defmethod compute-offsets ((register register) start-pos) (declare #.*standard-optimize-settings*) (compute-offsets (regex register) start-pos)) (defmethod compute-offsets ((standalone standalone) start-pos) (declare #.*standard-optimize-settings*) (compute-offsets (regex standalone) start-pos)) (defmethod compute-offsets ((char-class char-class) start-pos) (declare #.*standard-optimize-settings*) (1+ start-pos)) (defmethod compute-offsets ((everything everything) start-pos) (declare #.*standard-optimize-settings*) (1+ start-pos)) (defmethod compute-offsets ((str str) start-pos) (declare #.*standard-optimize-settings*) (setf (offset str) start-pos) (+ start-pos (len str))) (defmethod compute-offsets ((back-reference back-reference) start-pos) (declare #.*standard-optimize-settings*) ;; with enough effort we could possibly do better here, but ;; currently we just give up and return NIL (declare (ignore start-pos)) nil) (defmethod compute-offsets ((filter filter) start-pos) (declare #.*standard-optimize-settings*) (let ((len (len filter))) (if len (+ start-pos len) nil))) (defmethod compute-offsets ((regex regex) start-pos) (declare #.*standard-optimize-settings*) ;; the general case for ANCHOR, LOOKAHEAD, LOOKBEHIND, VOID, and ;; WORD-BOUNDARY (which all have zero-length) start-pos) cafeobj-1.5.4/cl-ppcre/regex-class.lisp0000644000000000000000000002445312403660236016435 0ustar rootroot;;; -*- Mode: LISP; Syntax: COMMON-LISP; Package: CL-PPCRE; Base: 10 -*- ;;; $Header: /usr/local/cvsrep/cl-ppcre/regex-class.lisp,v 1.44 2009/10/28 07:36:15 edi Exp $ ;;; This file defines the REGEX class. REGEX objects are used to ;;; represent the (transformed) parse trees internally ;;; Copyright (c) 2002-2009, Dr. Edmund Weitz. All rights reserved. ;;; Redistribution and use in source and binary forms, with or without ;;; modification, are permitted provided that the following conditions ;;; are met: ;;; * Redistributions of source code must retain the above copyright ;;; notice, this list of conditions and the following disclaimer. ;;; * Redistributions in binary form must reproduce the above ;;; copyright notice, this list of conditions and the following ;;; disclaimer in the documentation and/or other materials ;;; provided with the distribution. ;;; THIS SOFTWARE IS PROVIDED BY THE AUTHOR 'AS IS' AND ANY EXPRESSED ;;; OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED ;;; WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ;;; ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY ;;; DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL ;;; DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE ;;; GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS ;;; INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, ;;; WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING ;;; NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS ;;; SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. (in-package :cl-ppcre) (defclass regex () () (:documentation "The REGEX base class. All other classes inherit from this one.")) (defclass seq (regex) ((elements :initarg :elements :accessor elements :type cons :documentation "A list of REGEX objects.")) (:documentation "SEQ objects represents sequences of regexes. \(Like \"ab\" is the sequence of \"a\" and \"b\".)")) (defclass alternation (regex) ((choices :initarg :choices :accessor choices :type cons :documentation "A list of REGEX objects")) (:documentation "ALTERNATION objects represent alternations of regexes. \(Like \"a|b\" ist the alternation of \"a\" or \"b\".)")) (defclass lookahead (regex) ((regex :initarg :regex :accessor regex :documentation "The REGEX object we're checking.") (positivep :initarg :positivep :reader positivep :documentation "Whether this assertion is positive.")) (:documentation "LOOKAHEAD objects represent look-ahead assertions.")) (defclass lookbehind (regex) ((regex :initarg :regex :accessor regex :documentation "The REGEX object we're checking.") (positivep :initarg :positivep :reader positivep :documentation "Whether this assertion is positive.") (len :initarg :len :accessor len :type fixnum :documentation "The \(fixed) length of the enclosed regex.")) (:documentation "LOOKBEHIND objects represent look-behind assertions.")) (defclass repetition (regex) ((regex :initarg :regex :accessor regex :documentation "The REGEX that's repeated.") (greedyp :initarg :greedyp :reader greedyp :documentation "Whether the repetition is greedy.") (minimum :initarg :minimum :accessor minimum :type fixnum :documentation "The minimal number of repetitions.") (maximum :initarg :maximum :accessor maximum :documentation "The maximal number of repetitions. Can be NIL for unbounded.") (min-len :initarg :min-len :reader min-len :documentation "The minimal length of the enclosed regex.") (len :initarg :len :reader len :documentation "The length of the enclosed regex. NIL if unknown.") (min-rest :initform 0 :accessor min-rest :type fixnum :documentation "The minimal number of characters which must appear after this repetition.") (contains-register-p :initarg :contains-register-p :reader contains-register-p :documentation "Whether the regex contains a register.")) (:documentation "REPETITION objects represent repetitions of regexes.")) (defmethod print-object ((repetition repetition) stream) (print-unreadable-object (repetition stream :type t :identity t) (princ (regex repetition) stream))) (defclass register (regex) ((regex :initarg :regex :accessor regex :documentation "The inner regex.") (num :initarg :num :reader num :type fixnum :documentation "The number of this register, starting from 0. This is the index into *REGS-START* and *REGS-END*.") (name :initarg :name :reader name :documentation "Name of this register or NIL.")) (:documentation "REGISTER objects represent register groups.")) (defmethod print-object ((register register) stream) (print-unreadable-object (register stream :type t :identity t) (princ (regex register) stream))) (defclass standalone (regex) ((regex :initarg :regex :accessor regex :documentation "The inner regex.")) (:documentation "A standalone regular expression.")) (defclass back-reference (regex) ((num :initarg :num :accessor num :type fixnum :documentation "The number of the register this reference refers to.") (name :initarg :name :accessor name :documentation "The name of the register this reference refers to or NIL.") (case-insensitive-p :initarg :case-insensitive-p :reader case-insensitive-p :documentation "Whether we check case-insensitively.")) (:documentation "BACK-REFERENCE objects represent backreferences.")) (defclass char-class (regex) ((test-function :initarg :test-function :reader test-function :type (or function symbol nil) :documentation "A unary function \(accepting a character) which stands in for the character class and does the work of checking whether a character belongs to the class.")) (:documentation "CHAR-CLASS objects represent character classes.")) (defclass str (regex) ((str :initarg :str :accessor str :type string :documentation "The actual string.") (len :initform 0 :accessor len :type fixnum :documentation "The length of the string.") (case-insensitive-p :initarg :case-insensitive-p :reader case-insensitive-p :documentation "If we match case-insensitively.") (offset :initform nil :accessor offset :documentation "Offset from the left of the whole parse tree. The first regex has offset 0. NIL if unknown, i.e. behind a variable-length regex.") (skip :initform nil :initarg :skip :accessor skip :documentation "If we can avoid testing for this string because the SCAN function has done this already.") (start-of-end-string-p :initform nil :accessor start-of-end-string-p :documentation "If this is the unique STR which starts END-STRING (a slot of MATCHER).")) (:documentation "STR objects represent string.")) (defmethod print-object ((str str) stream) (print-unreadable-object (str stream :type t :identity t) (princ (str str) stream))) (defclass anchor (regex) ((startp :initarg :startp :reader startp :documentation "Whether this is a \"start anchor\".") (multi-line-p :initarg :multi-line-p :initform nil :reader multi-line-p :documentation "Whether we're in multi-line mode, i.e. whether each #\\Newline is surrounded by anchors.") (no-newline-p :initarg :no-newline-p :initform nil :reader no-newline-p :documentation "Whether we ignore #\\Newline at the end.")) (:documentation "ANCHOR objects represent anchors like \"^\" or \"$\".")) (defclass everything (regex) ((single-line-p :initarg :single-line-p :reader single-line-p :documentation "Whether we're in single-line mode, i.e. whether we also match #\\Newline.")) (:documentation "EVERYTHING objects represent regexes matching \"everything\", i.e. dots.")) (defclass word-boundary (regex) ((negatedp :initarg :negatedp :reader negatedp :documentation "Whether we mean the opposite, i.e. no word-boundary.")) (:documentation "WORD-BOUNDARY objects represent word-boundary assertions.")) (defclass branch (regex) ((test :initarg :test :accessor test :documentation "The test of this branch, one of LOOKAHEAD, LOOKBEHIND, or a number.") (then-regex :initarg :then-regex :accessor then-regex :documentation "The regex that's to be matched if the test succeeds.") (else-regex :initarg :else-regex :initform (make-instance 'void) :accessor else-regex :documentation "The regex that's to be matched if the test fails.")) (:documentation "BRANCH objects represent Perl's conditional regular expressions.")) (defclass filter (regex) ((fn :initarg :fn :accessor fn :type (or function symbol) :documentation "The user-defined function.") (len :initarg :len :reader len :documentation "The fixed length of this filter or NIL.")) (:documentation "FILTER objects represent arbitrary functions defined by the user.")) (defclass void (regex) () (:documentation "VOID objects represent empty regular expressions.")) (defmethod initialize-instance :after ((str str) &rest init-args) (declare #.*standard-optimize-settings*) (declare (ignore init-args)) "Automatically computes the length of a STR after initialization." (let ((str-slot (slot-value str 'str))) (unless (typep str-slot #-:lispworks 'simple-string #+:lispworks 'lw:simple-text-string) (setf (slot-value str 'str) (coerce str-slot #-:lispworks 'simple-string #+:lispworks 'lw:simple-text-string)))) (setf (len str) (length (str str)))) cafeobj-1.5.4/cl-ppcre/repetition-closures.lisp0000644000000000000000000012055012403660236020232 0ustar rootroot;;; -*- Mode: LISP; Syntax: COMMON-LISP; Package: CL-PPCRE; Base: 10 -*- ;;; $Header: /usr/local/cvsrep/cl-ppcre/repetition-closures.lisp,v 1.34 2009/09/17 19:17:31 edi Exp $ ;;; This is actually a part of closures.lisp which we put into a ;;; separate file because it is rather complex. We only deal with ;;; REPETITIONs here. Note that this part of the code contains some ;;; rather crazy micro-optimizations which were introduced to be as ;;; competitive with Perl as possible in tight loops. ;;; Copyright (c) 2002-2009, Dr. Edmund Weitz. All rights reserved. ;;; Redistribution and use in source and binary forms, with or without ;;; modification, are permitted provided that the following conditions ;;; are met: ;;; * Redistributions of source code must retain the above copyright ;;; notice, this list of conditions and the following disclaimer. ;;; * Redistributions in binary form must reproduce the above ;;; copyright notice, this list of conditions and the following ;;; disclaimer in the documentation and/or other materials ;;; provided with the distribution. ;;; THIS SOFTWARE IS PROVIDED BY THE AUTHOR 'AS IS' AND ANY EXPRESSED ;;; OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED ;;; WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ;;; ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY ;;; DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL ;;; DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE ;;; GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS ;;; INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, ;;; WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING ;;; NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS ;;; SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. (in-package :cl-ppcre) (defmacro incf-after (place &optional (delta 1) &environment env) "Utility macro inspired by C's \"place++\", i.e. first return the value of PLACE and afterwards increment it by DELTA." (with-unique-names (%temp) (multiple-value-bind (vars vals store-vars writer-form reader-form) (get-setf-expansion place env) `(let* (,@(mapcar #'list vars vals) (,%temp ,reader-form) (,(car store-vars) (+ ,%temp ,delta))) ,writer-form ,%temp)))) ;; code for greedy repetitions with minimum zero (defmacro greedy-constant-length-closure (check-curr-pos) "This is the template for simple greedy repetitions (where simple means that the minimum number of repetitions is zero, that the inner regex to be checked is of fixed length LEN, and that it doesn't contain registers, i.e. there's no need for backtracking). CHECK-CURR-POS is a form which checks whether the inner regex of the repetition matches at CURR-POS." `(if maximum (lambda (start-pos) (declare (fixnum start-pos maximum)) ;; because we know LEN we know in advance where to stop at the ;; latest; we also take into consideration MIN-REST, i.e. the ;; minimal length of the part behind the repetition (let ((target-end-pos (min (1+ (- *end-pos* len min-rest)) ;; don't go further than MAXIMUM ;; repetitions, of course (+ start-pos (the fixnum (* len maximum))))) (curr-pos start-pos)) (declare (fixnum target-end-pos curr-pos)) (block greedy-constant-length-matcher ;; we use an ugly TAGBODY construct because this might be a ;; tight loop and this version is a bit faster than our LOOP ;; version (at least in CMUCL) (tagbody forward-loop ;; first go forward as far as possible, i.e. while ;; the inner regex matches (when (>= curr-pos target-end-pos) (go backward-loop)) (when ,check-curr-pos (incf curr-pos len) (go forward-loop)) backward-loop ;; now go back LEN steps each until we're able to match ;; the rest of the regex (when (< curr-pos start-pos) (return-from greedy-constant-length-matcher nil)) (let ((result (funcall next-fn curr-pos))) (when result (return-from greedy-constant-length-matcher result))) (decf curr-pos len) (go backward-loop))))) ;; basically the same code; it's just a bit easier because we're ;; not bounded by MAXIMUM (lambda (start-pos) (declare (fixnum start-pos)) (let ((target-end-pos (1+ (- *end-pos* len min-rest))) (curr-pos start-pos)) (declare (fixnum target-end-pos curr-pos)) (block greedy-constant-length-matcher (tagbody forward-loop (when (>= curr-pos target-end-pos) (go backward-loop)) (when ,check-curr-pos (incf curr-pos len) (go forward-loop)) backward-loop (when (< curr-pos start-pos) (return-from greedy-constant-length-matcher nil)) (let ((result (funcall next-fn curr-pos))) (when result (return-from greedy-constant-length-matcher result))) (decf curr-pos len) (go backward-loop))))))) (defun create-greedy-everything-matcher (maximum min-rest next-fn) "Creates a closure which just matches as far ahead as possible, i.e. a closure for a dot in single-line mode." (declare #.*standard-optimize-settings*) (declare (fixnum min-rest) (function next-fn)) (if maximum (lambda (start-pos) (declare (fixnum start-pos maximum)) ;; because we know LEN we know in advance where to stop at the ;; latest; we also take into consideration MIN-REST, i.e. the ;; minimal length of the part behind the repetition (let ((target-end-pos (min (+ start-pos maximum) (- *end-pos* min-rest)))) (declare (fixnum target-end-pos)) ;; start from the highest possible position and go backward ;; until we're able to match the rest of the regex (loop for curr-pos of-type fixnum from target-end-pos downto start-pos thereis (funcall next-fn curr-pos)))) ;; basically the same code; it's just a bit easier because we're ;; not bounded by MAXIMUM (lambda (start-pos) (declare (fixnum start-pos)) (let ((target-end-pos (- *end-pos* min-rest))) (declare (fixnum target-end-pos)) (loop for curr-pos of-type fixnum from target-end-pos downto start-pos thereis (funcall next-fn curr-pos)))))) (defgeneric create-greedy-constant-length-matcher (repetition next-fn) (declare #.*standard-optimize-settings*) (:documentation "Creates a closure which tries to match REPETITION. It is assumed that REPETITION is greedy and the minimal number of repetitions is zero. It is furthermore assumed that the inner regex of REPETITION is of fixed length and doesn't contain registers.")) (defmethod create-greedy-constant-length-matcher ((repetition repetition) next-fn) (declare #.*standard-optimize-settings*) (let ((len (len repetition)) (maximum (maximum repetition)) (regex (regex repetition)) (min-rest (min-rest repetition))) (declare (fixnum len min-rest) (function next-fn)) (cond ((zerop len) ;; inner regex has zero-length, so we can discard it ;; completely next-fn) (t ;; now first try to optimize for a couple of common cases (typecase regex (str (let ((str (str regex))) (if (= 1 len) ;; a single character (let ((chr (schar str 0))) (if (case-insensitive-p regex) (greedy-constant-length-closure (char-equal chr (schar *string* curr-pos))) (greedy-constant-length-closure (char= chr (schar *string* curr-pos))))) ;; a string (if (case-insensitive-p regex) (greedy-constant-length-closure (*string*-equal str curr-pos (+ curr-pos len) 0 len)) (greedy-constant-length-closure (*string*= str curr-pos (+ curr-pos len) 0 len)))))) (char-class ;; a character class (insert-char-class-tester (regex (schar *string* curr-pos)) (greedy-constant-length-closure (char-class-test)))) (everything ;; an EVERYTHING object, i.e. a dot (if (single-line-p regex) (create-greedy-everything-matcher maximum min-rest next-fn) (greedy-constant-length-closure (char/= #\Newline (schar *string* curr-pos))))) (t ;; the general case - we build an inner matcher which ;; just checks for immediate success, i.e. NEXT-FN is ;; #'IDENTITY (let ((inner-matcher (create-matcher-aux regex #'identity))) (declare (function inner-matcher)) (greedy-constant-length-closure (funcall inner-matcher curr-pos))))))))) (defgeneric create-greedy-no-zero-matcher (repetition next-fn) (declare #.*standard-optimize-settings*) (:documentation "Creates a closure which tries to match REPETITION. It is assumed that REPETITION is greedy and the minimal number of repetitions is zero. It is furthermore assumed that the inner regex of REPETITION can never match a zero-length string \(or instead the maximal number of repetitions is 1).")) (defmethod create-greedy-no-zero-matcher ((repetition repetition) next-fn) (declare #.*standard-optimize-settings*) (let ((maximum (maximum repetition)) ;; REPEAT-MATCHER is part of the closure's environment but it ;; can only be defined after GREEDY-AUX is defined repeat-matcher) (declare (function next-fn)) (cond ((eql maximum 1) ;; this is essentially like the next case but with a known ;; MAXIMUM of 1 we can get away without a counter; note that ;; we always arrive here if CONVERT optimizes * to ;; (?:*)? (setq repeat-matcher (create-matcher-aux (regex repetition) next-fn)) (lambda (start-pos) (declare (function repeat-matcher)) (or (funcall repeat-matcher start-pos) (funcall next-fn start-pos)))) (maximum ;; we make a reservation for our slot in *REPEAT-COUNTERS* ;; because we need to keep track whether we've reached MAXIMUM ;; repetitions (let ((rep-num (incf-after *rep-num*))) (flet ((greedy-aux (start-pos) (declare (fixnum start-pos maximum rep-num) (function repeat-matcher)) ;; the actual matcher which first tries to match the ;; inner regex of REPETITION (if we haven't done so ;; too often) and on failure calls NEXT-FN (or (and (< (aref *repeat-counters* rep-num) maximum) (incf (aref *repeat-counters* rep-num)) ;; note that REPEAT-MATCHER will call ;; GREEDY-AUX again recursively (prog1 (funcall repeat-matcher start-pos) (decf (aref *repeat-counters* rep-num)))) (funcall next-fn start-pos)))) ;; create a closure to match the inner regex and to ;; implement backtracking via GREEDY-AUX (setq repeat-matcher (create-matcher-aux (regex repetition) #'greedy-aux)) ;; the closure we return is just a thin wrapper around ;; GREEDY-AUX to initialize the repetition counter (lambda (start-pos) (declare (fixnum start-pos)) (setf (aref *repeat-counters* rep-num) 0) (greedy-aux start-pos))))) (t ;; easier code because we're not bounded by MAXIMUM, but ;; basically the same (flet ((greedy-aux (start-pos) (declare (fixnum start-pos) (function repeat-matcher)) (or (funcall repeat-matcher start-pos) (funcall next-fn start-pos)))) (setq repeat-matcher (create-matcher-aux (regex repetition) #'greedy-aux)) #'greedy-aux))))) (defgeneric create-greedy-matcher (repetition next-fn) (declare #.*standard-optimize-settings*) (:documentation "Creates a closure which tries to match REPETITION. It is assumed that REPETITION is greedy and the minimal number of repetitions is zero.")) (defmethod create-greedy-matcher ((repetition repetition) next-fn) (declare #.*standard-optimize-settings*) (let ((maximum (maximum repetition)) ;; we make a reservation for our slot in *LAST-POS-STORES* because ;; we have to watch out for endless loops as the inner regex might ;; match zero-length strings (zero-length-num (incf-after *zero-length-num*)) ;; REPEAT-MATCHER is part of the closure's environment but it ;; can only be defined after GREEDY-AUX is defined repeat-matcher) (declare (fixnum zero-length-num) (function next-fn)) (cond (maximum ;; we make a reservation for our slot in *REPEAT-COUNTERS* ;; because we need to keep track whether we've reached MAXIMUM ;; repetitions (let ((rep-num (incf-after *rep-num*))) (flet ((greedy-aux (start-pos) ;; the actual matcher which first tries to match the ;; inner regex of REPETITION (if we haven't done so ;; too often) and on failure calls NEXT-FN (declare (fixnum start-pos maximum rep-num) (function repeat-matcher)) (let ((old-last-pos (svref *last-pos-stores* zero-length-num))) (when (and old-last-pos (= (the fixnum old-last-pos) start-pos)) ;; stop immediately if we've been here before, ;; i.e. if the last attempt matched a zero-length ;; string (return-from greedy-aux (funcall next-fn start-pos))) ;; otherwise remember this position for the next ;; repetition (setf (svref *last-pos-stores* zero-length-num) start-pos) (or (and (< (aref *repeat-counters* rep-num) maximum) (incf (aref *repeat-counters* rep-num)) ;; note that REPEAT-MATCHER will call ;; GREEDY-AUX again recursively (prog1 (funcall repeat-matcher start-pos) (decf (aref *repeat-counters* rep-num)) (setf (svref *last-pos-stores* zero-length-num) old-last-pos))) (funcall next-fn start-pos))))) ;; create a closure to match the inner regex and to ;; implement backtracking via GREEDY-AUX (setq repeat-matcher (create-matcher-aux (regex repetition) #'greedy-aux)) ;; the closure we return is just a thin wrapper around ;; GREEDY-AUX to initialize the repetition counter and our ;; slot in *LAST-POS-STORES* (lambda (start-pos) (declare (fixnum start-pos)) (setf (aref *repeat-counters* rep-num) 0 (svref *last-pos-stores* zero-length-num) nil) (greedy-aux start-pos))))) (t ;; easier code because we're not bounded by MAXIMUM, but ;; basically the same (flet ((greedy-aux (start-pos) (declare (fixnum start-pos) (function repeat-matcher)) (let ((old-last-pos (svref *last-pos-stores* zero-length-num))) (when (and old-last-pos (= (the fixnum old-last-pos) start-pos)) (return-from greedy-aux (funcall next-fn start-pos))) (setf (svref *last-pos-stores* zero-length-num) start-pos) (or (prog1 (funcall repeat-matcher start-pos) (setf (svref *last-pos-stores* zero-length-num) old-last-pos)) (funcall next-fn start-pos))))) (setq repeat-matcher (create-matcher-aux (regex repetition) #'greedy-aux)) (lambda (start-pos) (declare (fixnum start-pos)) (setf (svref *last-pos-stores* zero-length-num) nil) (greedy-aux start-pos))))))) ;; code for non-greedy repetitions with minimum zero (defmacro non-greedy-constant-length-closure (check-curr-pos) "This is the template for simple non-greedy repetitions \(where simple means that the minimum number of repetitions is zero, that the inner regex to be checked is of fixed length LEN, and that it doesn't contain registers, i.e. there's no need for backtracking). CHECK-CURR-POS is a form which checks whether the inner regex of the repetition matches at CURR-POS." `(if maximum (lambda (start-pos) (declare (fixnum start-pos maximum)) ;; because we know LEN we know in advance where to stop at the ;; latest; we also take into consideration MIN-REST, i.e. the ;; minimal length of the part behind the repetition (let ((target-end-pos (min (1+ (- *end-pos* len min-rest)) (+ start-pos (the fixnum (* len maximum)))))) ;; move forward by LEN and always try NEXT-FN first, then ;; CHECK-CUR-POS (loop for curr-pos of-type fixnum from start-pos below target-end-pos by len thereis (funcall next-fn curr-pos) while ,check-curr-pos finally (return (funcall next-fn curr-pos))))) ;; basically the same code; it's just a bit easier because we're ;; not bounded by MAXIMUM (lambda (start-pos) (declare (fixnum start-pos)) (let ((target-end-pos (1+ (- *end-pos* len min-rest)))) (loop for curr-pos of-type fixnum from start-pos below target-end-pos by len thereis (funcall next-fn curr-pos) while ,check-curr-pos finally (return (funcall next-fn curr-pos))))))) (defgeneric create-non-greedy-constant-length-matcher (repetition next-fn) (declare #.*standard-optimize-settings*) (:documentation "Creates a closure which tries to match REPETITION. It is assumed that REPETITION is non-greedy and the minimal number of repetitions is zero. It is furthermore assumed that the inner regex of REPETITION is of fixed length and doesn't contain registers.")) (defmethod create-non-greedy-constant-length-matcher ((repetition repetition) next-fn) (declare #.*standard-optimize-settings*) (let ((len (len repetition)) (maximum (maximum repetition)) (regex (regex repetition)) (min-rest (min-rest repetition))) (declare (fixnum len min-rest) (function next-fn)) (cond ((zerop len) ;; inner regex has zero-length, so we can discard it ;; completely next-fn) (t ;; now first try to optimize for a couple of common cases (typecase regex (str (let ((str (str regex))) (if (= 1 len) ;; a single character (let ((chr (schar str 0))) (if (case-insensitive-p regex) (non-greedy-constant-length-closure (char-equal chr (schar *string* curr-pos))) (non-greedy-constant-length-closure (char= chr (schar *string* curr-pos))))) ;; a string (if (case-insensitive-p regex) (non-greedy-constant-length-closure (*string*-equal str curr-pos (+ curr-pos len) 0 len)) (non-greedy-constant-length-closure (*string*= str curr-pos (+ curr-pos len) 0 len)))))) (char-class ;; a character class (insert-char-class-tester (regex (schar *string* curr-pos)) (non-greedy-constant-length-closure (char-class-test)))) (everything (if (single-line-p regex) ;; a dot which really can match everything; we rely ;; on the compiler to optimize this away (non-greedy-constant-length-closure t) ;; a dot which has to watch out for #\Newline (non-greedy-constant-length-closure (char/= #\Newline (schar *string* curr-pos))))) (t ;; the general case - we build an inner matcher which ;; just checks for immediate success, i.e. NEXT-FN is ;; #'IDENTITY (let ((inner-matcher (create-matcher-aux regex #'identity))) (declare (function inner-matcher)) (non-greedy-constant-length-closure (funcall inner-matcher curr-pos))))))))) (defgeneric create-non-greedy-no-zero-matcher (repetition next-fn) (declare #.*standard-optimize-settings*) (:documentation "Creates a closure which tries to match REPETITION. It is assumed that REPETITION is non-greedy and the minimal number of repetitions is zero. It is furthermore assumed that the inner regex of REPETITION can never match a zero-length string \(or instead the maximal number of repetitions is 1).")) (defmethod create-non-greedy-no-zero-matcher ((repetition repetition) next-fn) (declare #.*standard-optimize-settings*) (let ((maximum (maximum repetition)) ;; REPEAT-MATCHER is part of the closure's environment but it ;; can only be defined after NON-GREEDY-AUX is defined repeat-matcher) (declare (function next-fn)) (cond ((eql maximum 1) ;; this is essentially like the next case but with a known ;; MAXIMUM of 1 we can get away without a counter (setq repeat-matcher (create-matcher-aux (regex repetition) next-fn)) (lambda (start-pos) (declare (function repeat-matcher)) (or (funcall next-fn start-pos) (funcall repeat-matcher start-pos)))) (maximum ;; we make a reservation for our slot in *REPEAT-COUNTERS* ;; because we need to keep track whether we've reached MAXIMUM ;; repetitions (let ((rep-num (incf-after *rep-num*))) (flet ((non-greedy-aux (start-pos) ;; the actual matcher which first calls NEXT-FN and ;; on failure tries to match the inner regex of ;; REPETITION (if we haven't done so too often) (declare (fixnum start-pos maximum rep-num) (function repeat-matcher)) (or (funcall next-fn start-pos) (and (< (aref *repeat-counters* rep-num) maximum) (incf (aref *repeat-counters* rep-num)) ;; note that REPEAT-MATCHER will call ;; NON-GREEDY-AUX again recursively (prog1 (funcall repeat-matcher start-pos) (decf (aref *repeat-counters* rep-num))))))) ;; create a closure to match the inner regex and to ;; implement backtracking via NON-GREEDY-AUX (setq repeat-matcher (create-matcher-aux (regex repetition) #'non-greedy-aux)) ;; the closure we return is just a thin wrapper around ;; NON-GREEDY-AUX to initialize the repetition counter (lambda (start-pos) (declare (fixnum start-pos)) (setf (aref *repeat-counters* rep-num) 0) (non-greedy-aux start-pos))))) (t ;; easier code because we're not bounded by MAXIMUM, but ;; basically the same (flet ((non-greedy-aux (start-pos) (declare (fixnum start-pos) (function repeat-matcher)) (or (funcall next-fn start-pos) (funcall repeat-matcher start-pos)))) (setq repeat-matcher (create-matcher-aux (regex repetition) #'non-greedy-aux)) #'non-greedy-aux))))) (defgeneric create-non-greedy-matcher (repetition next-fn) (declare #.*standard-optimize-settings*) (:documentation "Creates a closure which tries to match REPETITION. It is assumed that REPETITION is non-greedy and the minimal number of repetitions is zero.")) (defmethod create-non-greedy-matcher ((repetition repetition) next-fn) (declare #.*standard-optimize-settings*) ;; we make a reservation for our slot in *LAST-POS-STORES* because ;; we have to watch out for endless loops as the inner regex might ;; match zero-length strings (let ((zero-length-num (incf-after *zero-length-num*)) (maximum (maximum repetition)) ;; REPEAT-MATCHER is part of the closure's environment but it ;; can only be defined after NON-GREEDY-AUX is defined repeat-matcher) (declare (fixnum zero-length-num) (function next-fn)) (cond (maximum ;; we make a reservation for our slot in *REPEAT-COUNTERS* ;; because we need to keep track whether we've reached MAXIMUM ;; repetitions (let ((rep-num (incf-after *rep-num*))) (flet ((non-greedy-aux (start-pos) ;; the actual matcher which first calls NEXT-FN and ;; on failure tries to match the inner regex of ;; REPETITION (if we haven't done so too often) (declare (fixnum start-pos maximum rep-num) (function repeat-matcher)) (let ((old-last-pos (svref *last-pos-stores* zero-length-num))) (when (and old-last-pos (= (the fixnum old-last-pos) start-pos)) ;; stop immediately if we've been here before, ;; i.e. if the last attempt matched a zero-length ;; string (return-from non-greedy-aux (funcall next-fn start-pos))) ;; otherwise remember this position for the next ;; repetition (setf (svref *last-pos-stores* zero-length-num) start-pos) (or (funcall next-fn start-pos) (and (< (aref *repeat-counters* rep-num) maximum) (incf (aref *repeat-counters* rep-num)) ;; note that REPEAT-MATCHER will call ;; NON-GREEDY-AUX again recursively (prog1 (funcall repeat-matcher start-pos) (decf (aref *repeat-counters* rep-num)) (setf (svref *last-pos-stores* zero-length-num) old-last-pos))))))) ;; create a closure to match the inner regex and to ;; implement backtracking via NON-GREEDY-AUX (setq repeat-matcher (create-matcher-aux (regex repetition) #'non-greedy-aux)) ;; the closure we return is just a thin wrapper around ;; NON-GREEDY-AUX to initialize the repetition counter and our ;; slot in *LAST-POS-STORES* (lambda (start-pos) (declare (fixnum start-pos)) (setf (aref *repeat-counters* rep-num) 0 (svref *last-pos-stores* zero-length-num) nil) (non-greedy-aux start-pos))))) (t ;; easier code because we're not bounded by MAXIMUM, but ;; basically the same (flet ((non-greedy-aux (start-pos) (declare (fixnum start-pos) (function repeat-matcher)) (let ((old-last-pos (svref *last-pos-stores* zero-length-num))) (when (and old-last-pos (= (the fixnum old-last-pos) start-pos)) (return-from non-greedy-aux (funcall next-fn start-pos))) (setf (svref *last-pos-stores* zero-length-num) start-pos) (or (funcall next-fn start-pos) (prog1 (funcall repeat-matcher start-pos) (setf (svref *last-pos-stores* zero-length-num) old-last-pos)))))) (setq repeat-matcher (create-matcher-aux (regex repetition) #'non-greedy-aux)) (lambda (start-pos) (declare (fixnum start-pos)) (setf (svref *last-pos-stores* zero-length-num) nil) (non-greedy-aux start-pos))))))) ;; code for constant repetitions, i.e. those with a fixed number of repetitions (defmacro constant-repetition-constant-length-closure (check-curr-pos) "This is the template for simple constant repetitions (where simple means that the inner regex to be checked is of fixed length LEN, and that it doesn't contain registers, i.e. there's no need for backtracking) and where constant means that MINIMUM is equal to MAXIMUM. CHECK-CURR-POS is a form which checks whether the inner regex of the repetition matches at CURR-POS." `(lambda (start-pos) (declare (fixnum start-pos)) (let ((target-end-pos (+ start-pos (the fixnum (* len repetitions))))) (declare (fixnum target-end-pos)) ;; first check if we won't go beyond the end of the string (and (>= *end-pos* target-end-pos) ;; then loop through all repetitions step by step (loop for curr-pos of-type fixnum from start-pos below target-end-pos by len always ,check-curr-pos) ;; finally call NEXT-FN if we made it that far (funcall next-fn target-end-pos))))) (defgeneric create-constant-repetition-constant-length-matcher (repetition next-fn) (declare #.*standard-optimize-settings*) (:documentation "Creates a closure which tries to match REPETITION. It is assumed that REPETITION has a constant number of repetitions. It is furthermore assumed that the inner regex of REPETITION is of fixed length and doesn't contain registers.")) (defmethod create-constant-repetition-constant-length-matcher ((repetition repetition) next-fn) (declare #.*standard-optimize-settings*) (let ((len (len repetition)) (repetitions (minimum repetition)) (regex (regex repetition))) (declare (fixnum len repetitions) (function next-fn)) (if (zerop len) ;; if the length is zero it suffices to try once (create-matcher-aux regex next-fn) ;; otherwise try to optimize for a couple of common cases (typecase regex (str (let ((str (str regex))) (if (= 1 len) ;; a single character (let ((chr (schar str 0))) (if (case-insensitive-p regex) (constant-repetition-constant-length-closure (and (char-equal chr (schar *string* curr-pos)) (1+ curr-pos))) (constant-repetition-constant-length-closure (and (char= chr (schar *string* curr-pos)) (1+ curr-pos))))) ;; a string (if (case-insensitive-p regex) (constant-repetition-constant-length-closure (let ((next-pos (+ curr-pos len))) (declare (fixnum next-pos)) (and (*string*-equal str curr-pos next-pos 0 len) next-pos))) (constant-repetition-constant-length-closure (let ((next-pos (+ curr-pos len))) (declare (fixnum next-pos)) (and (*string*= str curr-pos next-pos 0 len) next-pos))))))) (char-class ;; a character class (insert-char-class-tester (regex (schar *string* curr-pos)) (constant-repetition-constant-length-closure (and (char-class-test) (1+ curr-pos))))) (everything (if (single-line-p regex) ;; a dot which really matches everything - we just have to ;; advance the index into *STRING* accordingly and check ;; if we didn't go past the end (lambda (start-pos) (declare (fixnum start-pos)) (let ((next-pos (+ start-pos repetitions))) (declare (fixnum next-pos)) (and (<= next-pos *end-pos*) (funcall next-fn next-pos)))) ;; a dot which is not in single-line-mode - make sure we ;; don't match #\Newline (constant-repetition-constant-length-closure (and (char/= #\Newline (schar *string* curr-pos)) (1+ curr-pos))))) (t ;; the general case - we build an inner matcher which just ;; checks for immediate success, i.e. NEXT-FN is #'IDENTITY (let ((inner-matcher (create-matcher-aux regex #'identity))) (declare (function inner-matcher)) (constant-repetition-constant-length-closure (funcall inner-matcher curr-pos)))))))) (defgeneric create-constant-repetition-matcher (repetition next-fn) (declare #.*standard-optimize-settings*) (:documentation "Creates a closure which tries to match REPETITION. It is assumed that REPETITION has a constant number of repetitions.")) (defmethod create-constant-repetition-matcher ((repetition repetition) next-fn) (declare #.*standard-optimize-settings*) (let ((repetitions (minimum repetition)) ;; we make a reservation for our slot in *REPEAT-COUNTERS* ;; because we need to keep track of the number of repetitions (rep-num (incf-after *rep-num*)) ;; REPEAT-MATCHER is part of the closure's environment but it ;; can only be defined after NON-GREEDY-AUX is defined repeat-matcher) (declare (fixnum repetitions rep-num) (function next-fn)) (if (zerop (min-len repetition)) ;; we make a reservation for our slot in *LAST-POS-STORES* ;; because we have to watch out for needless loops as the inner ;; regex might match zero-length strings (let ((zero-length-num (incf-after *zero-length-num*))) (declare (fixnum zero-length-num)) (flet ((constant-aux (start-pos) ;; the actual matcher which first calls NEXT-FN and ;; on failure tries to match the inner regex of ;; REPETITION (if we haven't done so too often) (declare (fixnum start-pos) (function repeat-matcher)) (let ((old-last-pos (svref *last-pos-stores* zero-length-num))) (when (and old-last-pos (= (the fixnum old-last-pos) start-pos)) ;; if we've been here before we matched a ;; zero-length string the last time, so we can ;; just carry on because we will definitely be ;; able to do this again often enough (return-from constant-aux (funcall next-fn start-pos))) ;; otherwise remember this position for the next ;; repetition (setf (svref *last-pos-stores* zero-length-num) start-pos) (cond ((< (aref *repeat-counters* rep-num) repetitions) ;; not enough repetitions yet, try it again (incf (aref *repeat-counters* rep-num)) ;; note that REPEAT-MATCHER will call ;; CONSTANT-AUX again recursively (prog1 (funcall repeat-matcher start-pos) (decf (aref *repeat-counters* rep-num)) (setf (svref *last-pos-stores* zero-length-num) old-last-pos))) (t ;; we're done - call NEXT-FN (funcall next-fn start-pos)))))) ;; create a closure to match the inner regex and to ;; implement backtracking via CONSTANT-AUX (setq repeat-matcher (create-matcher-aux (regex repetition) #'constant-aux)) ;; the closure we return is just a thin wrapper around ;; CONSTANT-AUX to initialize the repetition counter (lambda (start-pos) (declare (fixnum start-pos)) (setf (aref *repeat-counters* rep-num) 0 (aref *last-pos-stores* zero-length-num) nil) (constant-aux start-pos)))) ;; easier code because we don't have to care about zero-length ;; matches but basically the same (flet ((constant-aux (start-pos) (declare (fixnum start-pos) (function repeat-matcher)) (cond ((< (aref *repeat-counters* rep-num) repetitions) (incf (aref *repeat-counters* rep-num)) (prog1 (funcall repeat-matcher start-pos) (decf (aref *repeat-counters* rep-num)))) (t (funcall next-fn start-pos))))) (setq repeat-matcher (create-matcher-aux (regex repetition) #'constant-aux)) (lambda (start-pos) (declare (fixnum start-pos)) (setf (aref *repeat-counters* rep-num) 0) (constant-aux start-pos)))))) ;; the actual CREATE-MATCHER-AUX method for REPETITION objects which ;; utilizes all the functions and macros defined above (defmethod create-matcher-aux ((repetition repetition) next-fn) (declare #.*standard-optimize-settings*) (with-slots (minimum maximum len min-len greedyp contains-register-p) repetition (cond ((and maximum (zerop maximum)) ;; this should have been optimized away by CONVERT but just ;; in case... (error "Got REPETITION with MAXIMUM 0 \(should not happen)")) ((and maximum (= minimum maximum 1)) ;; this should have been optimized away by CONVERT but just ;; in case... (error "Got REPETITION with MAXIMUM 1 and MINIMUM 1 \(should not happen)")) ((and (eql minimum maximum) len (not contains-register-p)) (create-constant-repetition-constant-length-matcher repetition next-fn)) ((eql minimum maximum) (create-constant-repetition-matcher repetition next-fn)) ((and greedyp len (not contains-register-p)) (create-greedy-constant-length-matcher repetition next-fn)) ((and greedyp (or (plusp min-len) (eql maximum 1))) (create-greedy-no-zero-matcher repetition next-fn)) (greedyp (create-greedy-matcher repetition next-fn)) ((and len (plusp len) (not contains-register-p)) (create-non-greedy-constant-length-matcher repetition next-fn)) ((or (plusp min-len) (eql maximum 1)) (create-non-greedy-no-zero-matcher repetition next-fn)) (t (create-non-greedy-matcher repetition next-fn))))) cafeobj-1.5.4/cl-ppcre/scanner.lisp0000644000000000000000000006303112403660236015644 0ustar rootroot;;; -*- Mode: LISP; Syntax: COMMON-LISP; Package: CL-PPCRE; Base: 10 -*- ;;; $Header: /usr/local/cvsrep/cl-ppcre/scanner.lisp,v 1.36 2009/09/17 19:17:31 edi Exp $ ;;; Here the scanner for the actual regex as well as utility scanners ;;; for the constant start and end strings are created. ;;; Copyright (c) 2002-2009, Dr. Edmund Weitz. All rights reserved. ;;; Redistribution and use in source and binary forms, with or without ;;; modification, are permitted provided that the following conditions ;;; are met: ;;; * Redistributions of source code must retain the above copyright ;;; notice, this list of conditions and the following disclaimer. ;;; * Redistributions in binary form must reproduce the above ;;; copyright notice, this list of conditions and the following ;;; disclaimer in the documentation and/or other materials ;;; provided with the distribution. ;;; THIS SOFTWARE IS PROVIDED BY THE AUTHOR 'AS IS' AND ANY EXPRESSED ;;; OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED ;;; WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ;;; ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY ;;; DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL ;;; DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE ;;; GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS ;;; INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, ;;; WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING ;;; NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS ;;; SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. (in-package :cl-ppcre) (defmacro bmh-matcher-aux (&key case-insensitive-p) "Auxiliary macro used by CREATE-BMH-MATCHER." (let ((char-compare (if case-insensitive-p 'char-equal 'char=))) `(lambda (start-pos) (declare (fixnum start-pos)) (if (or (minusp start-pos) (> (the fixnum (+ start-pos m)) *end-pos*)) nil (loop named bmh-matcher for k of-type fixnum = (+ start-pos m -1) then (+ k (max 1 (aref skip (char-code (schar *string* k))))) while (< k *end-pos*) do (loop for j of-type fixnum downfrom (1- m) for i of-type fixnum downfrom k while (and (>= j 0) (,char-compare (schar *string* i) (schar pattern j))) finally (if (minusp j) (return-from bmh-matcher (1+ i))))))))) (defun create-bmh-matcher (pattern case-insensitive-p) "Returns a Boyer-Moore-Horspool matcher which searches the (special) simple-string *STRING* for the first occurence of the substring PATTERN. The search starts at the position START-POS within *STRING* and stops before *END-POS* is reached. Depending on the second argument the search is case-insensitive or not. If the special variable *USE-BMH-MATCHERS* is NIL, use the standard SEARCH function instead. \(BMH matchers are faster but need much more space.)" (declare #.*standard-optimize-settings*) ;; see for ;; details (unless *use-bmh-matchers* (let ((test (if case-insensitive-p #'char-equal #'char=))) (return-from create-bmh-matcher (lambda (start-pos) (declare (fixnum start-pos)) (and (not (minusp start-pos)) (search pattern *string* :start2 start-pos :end2 *end-pos* :test test)))))) (let* ((m (length pattern)) (skip (make-array *regex-char-code-limit* :element-type 'fixnum :initial-element m))) (declare (fixnum m)) (loop for k of-type fixnum below m if case-insensitive-p do (setf (aref skip (char-code (char-upcase (schar pattern k)))) (- m k 1) (aref skip (char-code (char-downcase (schar pattern k)))) (- m k 1)) else do (setf (aref skip (char-code (schar pattern k))) (- m k 1))) (if case-insensitive-p (bmh-matcher-aux :case-insensitive-p t) (bmh-matcher-aux)))) (defmacro char-searcher-aux (&key case-insensitive-p) "Auxiliary macro used by CREATE-CHAR-SEARCHER." (let ((char-compare (if case-insensitive-p 'char-equal 'char=))) `(lambda (start-pos) (declare (fixnum start-pos)) (and (not (minusp start-pos)) (loop for i of-type fixnum from start-pos below *end-pos* thereis (and (,char-compare (schar *string* i) chr) i)))))) (defun create-char-searcher (chr case-insensitive-p) "Returns a function which searches the (special) simple-string *STRING* for the first occurence of the character CHR. The search starts at the position START-POS within *STRING* and stops before *END-POS* is reached. Depending on the second argument the search is case-insensitive or not." (declare #.*standard-optimize-settings*) (if case-insensitive-p (char-searcher-aux :case-insensitive-p t) (char-searcher-aux))) (declaim (inline newline-skipper)) (defun newline-skipper (start-pos) "Finds the next occurence of a character in *STRING* which is behind a #\Newline." (declare #.*standard-optimize-settings*) (declare (fixnum start-pos)) ;; we can start with (1- START-POS) without testing for (PLUSP ;; START-POS) because we know we'll never call NEWLINE-SKIPPER on ;; the first iteration (loop for i of-type fixnum from (1- start-pos) below *end-pos* thereis (and (char= (schar *string* i) #\Newline) (1+ i)))) (defmacro insert-advance-fn (advance-fn) "Creates the actual closure returned by CREATE-SCANNER-AUX by replacing '(ADVANCE-FN-DEFINITION) with a suitable definition for ADVANCE-FN. This is a utility macro used by CREATE-SCANNER-AUX." (subst advance-fn '(advance-fn-definition) '(lambda (string start end) (block scan ;; initialize a couple of special variables used by the ;; matchers (see file specials.lisp) (let* ((*string* string) (*start-pos* start) (*end-pos* end) ;; we will search forward for END-STRING if this value ;; isn't at least as big as POS (see ADVANCE-FN), so it ;; is safe to start to the left of *START-POS*; note ;; that this value will _never_ be decremented - this ;; is crucial to the scanning process (*end-string-pos* (1- *start-pos*)) ;; the next five will shadow the variables defined by ;; DEFPARAMETER; at this point, we don't know if we'll ;; actually use them, though (*repeat-counters* *repeat-counters*) (*last-pos-stores* *last-pos-stores*) (*reg-starts* *reg-starts*) (*regs-maybe-start* *regs-maybe-start*) (*reg-ends* *reg-ends*) ;; we might be able to optimize the scanning process by ;; (virtually) shifting *START-POS* to the right (scan-start-pos *start-pos*) (starts-with-str (if start-string-test (str starts-with) nil)) ;; we don't need to try further than MAX-END-POS (max-end-pos (- *end-pos* min-len))) (declare (fixnum scan-start-pos) (function match-fn)) ;; definition of ADVANCE-FN will be inserted here by macrology (labels ((advance-fn-definition)) (declare (inline advance-fn)) (when (plusp rep-num) ;; we have at least one REPETITION which needs to count ;; the number of repetitions (setq *repeat-counters* (make-array rep-num :initial-element 0 :element-type 'fixnum))) (when (plusp zero-length-num) ;; we have at least one REPETITION which needs to watch ;; out for zero-length repetitions (setq *last-pos-stores* (make-array zero-length-num :initial-element nil))) (when (plusp reg-num) ;; we have registers in our regular expression (setq *reg-starts* (make-array reg-num :initial-element nil) *regs-maybe-start* (make-array reg-num :initial-element nil) *reg-ends* (make-array reg-num :initial-element nil))) (when end-anchored-p ;; the regular expression has a constant end string which ;; is anchored at the very end of the target string ;; (perhaps modulo a #\Newline) (let ((end-test-pos (- *end-pos* (the fixnum end-string-len)))) (declare (fixnum end-test-pos) (function end-string-test)) (unless (setq *end-string-pos* (funcall end-string-test end-test-pos)) (when (and (= 1 (the fixnum end-anchored-p)) (> *end-pos* scan-start-pos) (char= #\Newline (schar *string* (1- *end-pos*)))) ;; if we didn't find an end string candidate from ;; END-TEST-POS and if a #\Newline at the end is ;; allowed we try it again from one position to the ;; left (setq *end-string-pos* (funcall end-string-test (1- end-test-pos)))))) (unless (and *end-string-pos* (<= *start-pos* *end-string-pos*)) ;; no end string candidate found, so give up (return-from scan nil)) (when end-string-offset ;; if the offset of the constant end string from the ;; left of the regular expression is known we can start ;; scanning further to the right; this is similar to ;; what we might do in ADVANCE-FN (setq scan-start-pos (max scan-start-pos (- (the fixnum *end-string-pos*) (the fixnum end-string-offset)))))) (cond (start-anchored-p ;; we're anchored at the start of the target string, ;; so no need to try again after first failure (when (or (/= *start-pos* scan-start-pos) (< max-end-pos *start-pos*)) ;; if END-STRING-OFFSET has proven that we don't ;; need to bother to scan from *START-POS* or if the ;; minimal length of the regular expression is ;; longer than the target string we give up (return-from scan nil)) (when starts-with-str (locally (declare (fixnum starts-with-len)) (cond ((and (case-insensitive-p starts-with) (not (*string*-equal starts-with-str *start-pos* (+ *start-pos* starts-with-len) 0 starts-with-len))) ;; the regular expression has a ;; case-insensitive constant start string ;; and we didn't find it (return-from scan nil)) ((and (not (case-insensitive-p starts-with)) (not (*string*= starts-with-str *start-pos* (+ *start-pos* starts-with-len) 0 starts-with-len))) ;; the regular expression has a ;; case-sensitive constant start string ;; and we didn't find it (return-from scan nil)) (t nil)))) (when (and end-string-test (not end-anchored-p)) ;; the regular expression has a constant end string ;; which isn't anchored so we didn't check for it ;; already (block end-string-loop ;; we temporarily use *END-STRING-POS* as our ;; starting position to look for end string ;; candidates (setq *end-string-pos* *start-pos*) (loop (unless (setq *end-string-pos* (funcall (the function end-string-test) *end-string-pos*)) ;; no end string candidate found, so give up (return-from scan nil)) (unless end-string-offset ;; end string doesn't have an offset so we ;; can start scanning now (return-from end-string-loop)) (let ((maybe-start-pos (- (the fixnum *end-string-pos*) (the fixnum end-string-offset)))) (cond ((= maybe-start-pos *start-pos*) ;; offset of end string into regular ;; expression matches start anchor - ;; fine... (return-from end-string-loop)) ((and (< maybe-start-pos *start-pos*) (< (+ *end-string-pos* end-string-len) *end-pos*)) ;; no match but maybe we find another ;; one to the right - try again (incf *end-string-pos*)) (t ;; otherwise give up (return-from scan nil))))))) ;; if we got here we scan exactly once (let ((next-pos (funcall match-fn *start-pos*))) (when next-pos (values (if next-pos *start-pos* nil) next-pos *reg-starts* *reg-ends*)))) (t (loop for pos = (if starts-with-everything ;; don't jump to the next ;; #\Newline on the first ;; iteration scan-start-pos (advance-fn scan-start-pos)) then (advance-fn pos) ;; give up if the regular expression can't fit ;; into the rest of the target string while (and pos (<= (the fixnum pos) max-end-pos)) do (let ((next-pos (funcall match-fn pos))) (when next-pos (return-from scan (values pos next-pos *reg-starts* *reg-ends*))) ;; not yet found, increment POS #-cormanlisp (incf (the fixnum pos)) #+cormanlisp (incf pos))))))))) :test #'equalp)) (defun create-scanner-aux (match-fn min-len start-anchored-p starts-with start-string-test end-anchored-p end-string-test end-string-len end-string-offset rep-num zero-length-num reg-num) "Auxiliary function to create and return a scanner \(which is actually a closure). Used by CREATE-SCANNER." (declare #.*standard-optimize-settings*) (declare (fixnum min-len zero-length-num rep-num reg-num)) (let ((starts-with-len (if (typep starts-with 'str) (len starts-with))) (starts-with-everything (typep starts-with 'everything))) (cond ;; this COND statement dispatches on the different versions we ;; have for ADVANCE-FN and creates different closures for each; ;; note that you see only the bodies of ADVANCE-FN below - the ;; actual scanner is defined in INSERT-ADVANCE-FN above; (we ;; could have done this with closures instead of macrology but ;; would have consed a lot more) ((and start-string-test end-string-test end-string-offset) ;; we know that the regular expression has constant start and ;; end strings and we know the end string's offset (from the ;; left) (insert-advance-fn (advance-fn (pos) (declare (fixnum end-string-offset starts-with-len) (function start-string-test end-string-test)) (loop (unless (setq pos (funcall start-string-test pos)) ;; give up completely if we can't find a start string ;; candidate (return-from scan nil)) (locally ;; from here we know that POS is a FIXNUM (declare (fixnum pos)) (when (= pos (- (the fixnum *end-string-pos*) end-string-offset)) ;; if we already found an end string candidate the ;; position of which matches the start string ;; candidate we're done (return-from advance-fn pos)) (let ((try-pos (+ pos starts-with-len))) ;; otherwise try (again) to find an end string ;; candidate which starts behind the start string ;; candidate (loop (unless (setq *end-string-pos* (funcall end-string-test try-pos)) ;; no end string candidate found, so give up (return-from scan nil)) ;; NEW-POS is where we should start scanning ;; according to the end string candidate (let ((new-pos (- (the fixnum *end-string-pos*) end-string-offset))) (declare (fixnum new-pos *end-string-pos*)) (cond ((= new-pos pos) ;; if POS and NEW-POS are equal then the ;; two candidates agree so we're fine (return-from advance-fn pos)) ((> new-pos pos) ;; if NEW-POS is further to the right we ;; advance POS and try again, i.e. we go ;; back to the start of the outer LOOP (setq pos new-pos) ;; this means "return from inner LOOP" (return)) (t ;; otherwise NEW-POS is smaller than POS, ;; so we have to redo the inner LOOP to ;; find another end string candidate ;; further to the right (setq try-pos (1+ *end-string-pos*)))))))))))) ((and starts-with-everything end-string-test end-string-offset) ;; we know that the regular expression starts with ".*" (which ;; is not in single-line-mode, see CREATE-SCANNER-AUX) and ends ;; with a constant end string and we know the end string's ;; offset (from the left) (insert-advance-fn (advance-fn (pos) (declare (fixnum end-string-offset) (function end-string-test)) (loop (unless (setq pos (newline-skipper pos)) ;; if we can't find a #\Newline we give up immediately (return-from scan nil)) (locally ;; from here we know that POS is a FIXNUM (declare (fixnum pos)) (when (= pos (- (the fixnum *end-string-pos*) end-string-offset)) ;; if we already found an end string candidate the ;; position of which matches the place behind the ;; #\Newline we're done (return-from advance-fn pos)) (let ((try-pos pos)) ;; otherwise try (again) to find an end string ;; candidate which starts behind the #\Newline (loop (unless (setq *end-string-pos* (funcall end-string-test try-pos)) ;; no end string candidate found, so we give up (return-from scan nil)) ;; NEW-POS is where we should start scanning ;; according to the end string candidate (let ((new-pos (- (the fixnum *end-string-pos*) end-string-offset))) (declare (fixnum new-pos *end-string-pos*)) (cond ((= new-pos pos) ;; if POS and NEW-POS are equal then the ;; the end string candidate agrees with ;; the #\Newline so we're fine (return-from advance-fn pos)) ((> new-pos pos) ;; if NEW-POS is further to the right we ;; advance POS and try again, i.e. we go ;; back to the start of the outer LOOP (setq pos new-pos) ;; this means "return from inner LOOP" (return)) (t ;; otherwise NEW-POS is smaller than POS, ;; so we have to redo the inner LOOP to ;; find another end string candidate ;; further to the right (setq try-pos (1+ *end-string-pos*)))))))))))) ((and start-string-test end-string-test) ;; we know that the regular expression has constant start and ;; end strings; similar to the first case but we only need to ;; check for the end string, it doesn't provide enough ;; information to advance POS (insert-advance-fn (advance-fn (pos) (declare (function start-string-test end-string-test)) (unless (setq pos (funcall start-string-test pos)) (return-from scan nil)) (if (<= (the fixnum pos) (the fixnum *end-string-pos*)) (return-from advance-fn pos)) (unless (setq *end-string-pos* (funcall end-string-test pos)) (return-from scan nil)) pos))) ((and starts-with-everything end-string-test) ;; we know that the regular expression starts with ".*" (which ;; is not in single-line-mode, see CREATE-SCANNER-AUX) and ends ;; with a constant end string; similar to the second case but we ;; only need to check for the end string, it doesn't provide ;; enough information to advance POS (insert-advance-fn (advance-fn (pos) (declare (function end-string-test)) (unless (setq pos (newline-skipper pos)) (return-from scan nil)) (if (<= (the fixnum pos) (the fixnum *end-string-pos*)) (return-from advance-fn pos)) (unless (setq *end-string-pos* (funcall end-string-test pos)) (return-from scan nil)) pos))) (start-string-test ;; just check for constant start string candidate (insert-advance-fn (advance-fn (pos) (declare (function start-string-test)) (unless (setq pos (funcall start-string-test pos)) (return-from scan nil)) pos))) (starts-with-everything ;; just advance POS with NEWLINE-SKIPPER (insert-advance-fn (advance-fn (pos) (unless (setq pos (newline-skipper pos)) (return-from scan nil)) pos))) (end-string-test ;; just check for the next end string candidate if POS has ;; advanced beyond the last one (insert-advance-fn (advance-fn (pos) (declare (function end-string-test)) (if (<= (the fixnum pos) (the fixnum *end-string-pos*)) (return-from advance-fn pos)) (unless (setq *end-string-pos* (funcall end-string-test pos)) (return-from scan nil)) pos))) (t ;; not enough optimization information about the regular ;; expression to optimize so we just return POS (insert-advance-fn (advance-fn (pos) pos)))))) cafeobj-1.5.4/cl-ppcre/specials.lisp0000644000000000000000000001453312403660236016021 0ustar rootroot;;; -*- Mode: LISP; Syntax: COMMON-LISP; Package: CL-PPCRE; Base: 10 -*- ;;; $Header: /usr/local/cvsrep/cl-ppcre/specials.lisp,v 1.43 2009/10/28 07:36:15 edi Exp $ ;;; globally declared special variables ;;; Copyright (c) 2002-2009, Dr. Edmund Weitz. All rights reserved. ;;; Redistribution and use in source and binary forms, with or without ;;; modification, are permitted provided that the following conditions ;;; are met: ;;; * Redistributions of source code must retain the above copyright ;;; notice, this list of conditions and the following disclaimer. ;;; * Redistributions in binary form must reproduce the above ;;; copyright notice, this list of conditions and the following ;;; disclaimer in the documentation and/or other materials ;;; provided with the distribution. ;;; THIS SOFTWARE IS PROVIDED BY THE AUTHOR 'AS IS' AND ANY EXPRESSED ;;; OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED ;;; WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ;;; ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY ;;; DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL ;;; DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE ;;; GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS ;;; INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, ;;; WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING ;;; NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS ;;; SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. (in-package :cl-ppcre) ;;; special variables used to effect declarations (defvar *standard-optimize-settings* '(optimize speed (safety 0) (space 0) (debug 1) (compilation-speed 0) #+:lispworks (hcl:fixnum-safety 0)) "The standard optimize settings used by most declaration expressions.") (defvar *special-optimize-settings* '(optimize speed space) "Special optimize settings used only by a few declaration expressions.") ;;; special variables used by the lexer/parser combo (defvar *extended-mode-p* nil "Whether the parser will start in extended mode.") (declaim (boolean *extended-mode-p*)) ;;; special variables used by the SCAN function and the matchers (defvar *regex-char-code-limit* char-code-limit "The upper exclusive bound on the char-codes of characters which can occur in character classes. Change this value BEFORE creating scanners if you don't need the \(full) Unicode support of implementations like AllegroCL, CLISP, LispWorks, or SBCL.") (declaim (fixnum *regex-char-code-limit*)) (defvar *string* "" "The string which is currently scanned by SCAN. Will always be coerced to a SIMPLE-STRING.") #+:lispworks (declaim (lw:simple-text-string *string*)) #-:lispworks (declaim (simple-string *string*)) (defvar *start-pos* 0 "Where to start scanning within *STRING*.") (declaim (fixnum *start-pos*)) (defvar *real-start-pos* nil "The real start of *STRING*. This is for repeated scans and is only used internally.") (declaim (type (or null fixnum) *real-start-pos*)) (defvar *end-pos* 0 "Where to stop scanning within *STRING*.") (declaim (fixnum *end-pos*)) (defvar *reg-starts* (make-array 0) "An array which holds the start positions of the current register candidates.") (declaim (simple-vector *reg-starts*)) (defvar *regs-maybe-start* (make-array 0) "An array which holds the next start positions of the current register candidates.") (declaim (simple-vector *regs-maybe-start*)) (defvar *reg-ends* (make-array 0) "An array which holds the end positions of the current register candidates.") (declaim (simple-vector *reg-ends*)) (defvar *end-string-pos* nil "Start of the next possible end-string candidate.") (defvar *rep-num* 0 "Counts the number of \"complicated\" repetitions while the matchers are built.") (declaim (fixnum *rep-num*)) (defvar *zero-length-num* 0 "Counts the number of repetitions the inner regexes of which may have zero-length while the matchers are built.") (declaim (fixnum *zero-length-num*)) (defvar *repeat-counters* (make-array 0 :initial-element 0 :element-type 'fixnum) "An array to keep track of how often repetitive patterns have been tested already.") (declaim (type (array fixnum (*)) *repeat-counters*)) (defvar *last-pos-stores* (make-array 0) "An array to keep track of the last positions where we saw repetitive patterns. Only used for patterns which might have zero length.") (declaim (simple-vector *last-pos-stores*)) (defvar *use-bmh-matchers* nil "Whether the scanners created by CREATE-SCANNER should use the \(fast but large) Boyer-Moore-Horspool matchers.") (defvar *optimize-char-classes* nil "Whether character classes should be compiled into look-ups into O\(1) data structures. This is usually fast but will be costly in terms of scanner creation time and might be costly in terms of size if *REGEX-CHAR-CODE-LIMIT* is high. This value will be used as the :KIND keyword argument to CREATE-OPTIMIZED-TEST-FUNCTION - see there for the possible non-NIL values.") (defvar *property-resolver* nil "Should be NIL or a designator for a function which accepts strings and returns unary character test functions or NIL. This 'resolver' is intended to handle `character properties' like \\p{IsAlpha}. If *PROPERTY-RESOLVER* is NIL, then the parser will simply treat \\p and \\P as #\\p and #\\P as in older versions of CL-PPCRE.") (defvar *allow-quoting* nil "Whether the parser should support Perl's \\Q and \\E.") (defvar *allow-named-registers* nil "Whether the parser should support AllegroCL's named registers \(?\"\") and back-reference \\k syntax.") (pushnew :cl-ppcre *features*) ;; stuff for Nikodemus Siivola's HYPERDOC ;; see ;; and ;; also used by LW-ADD-ONS (defvar *hyperdoc-base-uri* "http://weitz.de/cl-ppcre/") (let ((exported-symbols-alist (loop for symbol being the external-symbols of :cl-ppcre collect (cons symbol (concatenate 'string "#" (string-downcase symbol)))))) (defun hyperdoc-lookup (symbol type) (declare (ignore type)) (cdr (assoc symbol exported-symbols-alist :test #'eq)))) cafeobj-1.5.4/cl-ppcre/test/0000755000000000000000000000000012403660236014276 5ustar rootrootcafeobj-1.5.4/cl-ppcre/test/packages.lisp0000644000000000000000000000346612403660236016756 0ustar rootroot;;; -*- Mode: LISP; Syntax: COMMON-LISP; Package: CL-USER; Base: 10 -*- ;;; $Header: /usr/local/cvsrep/cl-ppcre/test/packages.lisp,v 1.4 2009/09/17 19:17:36 edi Exp $ ;;; Copyright (c) 2002-2009, Dr. Edmund Weitz. All rights reserved. ;;; Redistribution and use in source and binary forms, with or without ;;; modification, are permitted provided that the following conditions ;;; are met: ;;; * Redistributions of source code must retain the above copyright ;;; notice, this list of conditions and the following disclaimer. ;;; * Redistributions in binary form must reproduce the above ;;; copyright notice, this list of conditions and the following ;;; disclaimer in the documentation and/or other materials ;;; provided with the distribution. ;;; THIS SOFTWARE IS PROVIDED BY THE AUTHOR 'AS IS' AND ANY EXPRESSED ;;; OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED ;;; WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ;;; ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY ;;; DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL ;;; DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE ;;; GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS ;;; INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, ;;; WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING ;;; NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS ;;; SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. (in-package :cl-user) (defpackage :cl-ppcre-test #+genera (:shadowing-import-from :common-lisp :lambda) (:use #-:genera :cl #+:genera :future-common-lisp :cl-ppcre) (:import-from :cl-ppcre :*standard-optimize-settings* :string-list-to-simple-string) (:export :run-all-tests :unicode-test)) cafeobj-1.5.4/cl-ppcre/test/perl-tests.lisp0000644000000000000000000002022312403660236017270 0ustar rootroot;;; -*- Mode: LISP; Syntax: COMMON-LISP; Package: CL-PPCRE-TEST; Base: 10 -*- ;;; $Header: /usr/local/cvsrep/cl-ppcre/test/perl-tests.lisp,v 1.8 2009/09/17 19:17:36 edi Exp $ ;;; The tests in this file test CL-PPCRE against testdata generated by ;;; the Perl program `perltest.pl' from the input file `testinput' in ;;; order to check compatibility with Perl and correctness of the ;;; regex engine. ;;; Copyright (c) 2002-2009, Dr. Edmund Weitz. All rights reserved. ;;; Redistribution and use in source and binary forms, with or without ;;; modification, are permitted provided that the following conditions ;;; are met: ;;; * Redistributions of source code must retain the above copyright ;;; notice, this list of conditions and the following disclaimer. ;;; * Redistributions in binary form must reproduce the above ;;; copyright notice, this list of conditions and the following ;;; disclaimer in the documentation and/or other materials ;;; provided with the distribution. ;;; THIS SOFTWARE IS PROVIDED BY THE AUTHOR 'AS IS' AND ANY EXPRESSED ;;; OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED ;;; WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ;;; ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY ;;; DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL ;;; DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE ;;; GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS ;;; INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, ;;; WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING ;;; NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS ;;; SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. (in-package :cl-ppcre-test) (defvar *tests-to-skip* '(662 790 1439) "Some tests we skip because the testdata is generated by a Perl program and CL-PPCRE differs from Perl for these tests - on purpose.") (defun create-string-from-input (input) "Converts INPUT to a string which can be used in TEST below. The input file `testdata' encodes strings containing non-printable characters as lists where those characters are represented by their character code." (etypecase input ((or null string) input) (list (string-list-to-simple-string (loop for element in input if (stringp element) collect element else collect (string (code-char element))))))) (defun perl-test (&key (file-name (make-pathname :name "perltestdata" :type nil :version nil :defaults *this-file*) file-name-provided-p) (external-format '(:latin-1 :eol-style :lf)) verbose) "Loops through all test cases in FILE-NAME and prints a report if VERBOSE is true. EXTERNAL-FORMAT is the FLEXI-STREAMS external format which is used to read the file. Returns a true value if all tests succeeded. For the syntax of the tests in FILE-NAME refer to the source code of this function and to the Perl script perltest.pl which generates such test files." (declare #.*standard-optimize-settings*) (with-open-file (binary-stream file-name :element-type 'flex:octet) (let ((stream (flex:make-flexi-stream binary-stream :external-format external-format)) ;; the standard Perl tests don't need full Unicode support (*regex-char-code-limit* (if file-name-provided-p *regex-char-code-limit* 256)) ;; we need this for the standard test suite or otherwise we ;; might get stack overflows (*optimize-char-classes* (if file-name-provided-p *optimize-char-classes* :charmap)) ;; we only check for correctness and don't care about speed ;; that match (but rather about space constraints of the ;; trial versions) (*use-bmh-matchers* (if file-name-provided-p *use-bmh-matchers* nil)) ;; some tests in the Perl suite explicitly check for this (*allow-quoting* (if file-name-provided-p *allow-quoting* t))) (do-tests ((format nil "Running tests in file ~S" (file-namestring file-name)) (not verbose)) (let ((input-line (or (read stream nil) (done))) errors) (destructuring-bind (counter info-string% regex% case-insensitive-mode multi-line-mode single-line-mode extended-mode target% perl-error expected-result% expected-registers) input-line (destructuring-bind (info-string regex target expected-result) (mapcar 'create-string-from-input (list info-string% regex% target% expected-result%)) (setq expected-registers (mapcar 'create-string-from-input expected-registers)) (unless (find counter *tests-to-skip* :test #'=) (when verbose (format t "~&~4D: ~S" counter info-string)) (let ((scanner (handler-bind ((error (lambda (condition) (declare (ignore condition)) (when perl-error ;; we expected an ;; error, so we can ;; signal success (return-from test-block))))) (create-scanner regex :case-insensitive-mode case-insensitive-mode :multi-line-mode multi-line-mode :single-line-mode single-line-mode :extended-mode extended-mode)))) (block test-block (multiple-value-bind (start end reg-starts reg-ends) (scan scanner target) (cond (perl-error (push (format nil "expected an error but got a result.") errors)) (t (when (not (eq start expected-result)) (if start (let ((result (subseq target start end))) (unless (string= result expected-result) (push (format nil "expected ~S but got ~S." expected-result result) errors)) (setq reg-starts (coerce reg-starts 'list) reg-ends (coerce reg-ends 'list)) (loop for i from 0 for expected-register in expected-registers for reg-start = (nth i reg-starts) for reg-end = (nth i reg-ends) for register = (if (and reg-start reg-end) (subseq target reg-start reg-end) nil) unless (string= expected-register register) do (push (format nil "\\~A: expected ~S but got ~S." (1+ i) expected-register register) errors))) (push (format nil "expected ~S but got ~S." expected-result start) errors)))))) errors)))))))))) cafeobj-1.5.4/cl-ppcre/test/perltest.pl0000644000000000000000000000642112403660236016500 0ustar rootroot#!/usr/bin/perl # $Header: /usr/local/cvsrep/cl-ppcre/test/perltest.pl,v 1.1 2008/07/06 21:24:39 edi Exp $ # This is a heavily modified version of the file 'perltest' which # comes with the PCRE library package, which is open source software, # written by Philip Hazel, and copyright by the University of # Cambridge, England. # The PCRE library package is available from # sub string_for_lisp { my(@a, $t, $in_string, $switch); my $string = shift; $string =~ s/\\/\\\\/g; $string =~ s/"/\\"/g; return "\"$string\"" if $string =~ /^[\n\x20-\x7f]*$/; $in_string = 1; foreach $c (split(//, $string)) { if (ord $c >= 32 and ord $c < 127) { if ($in_string) { $t .= $c; } else { $in_string = 1; $t = $c; } } else { if ($in_string) { push @a, "\"$t\""; $in_string = 0; $switch = 1; } push @a, ord $c; } } if ($switch) { if ($in_string) { push @a, "\"$t\""; } '(' . (join ' ', @a) . ')'; } else { "\"$t\""; } } NEXT_RE: while (1) { last if !($_ = <>); next if $_ eq ""; $pattern = $_; while ($pattern !~ /^\s*(.).*\1/s) { last if !($_ = <>); $pattern .= $_; } chomp($pattern); $pattern =~ s/\s+$//; $pattern =~ s/\+(?=[a-z]*$)//; $multi_line_mode = ($pattern =~ /m[a-z]*$/) ? 't' : 'nil'; $single_line_mode = ($pattern =~ /s[a-z]*$/) ? 't' : 'nil'; $extended_mode = ($pattern =~ /x[a-z]*$/) ? 't' : 'nil'; $case_insensitive_mode = ($pattern =~ /i[a-z]*$/) ? 't' : 'nil'; $pattern =~ s/^(.*)g([a-z]*)$/\1\2/; $pattern_for_lisp = $pattern; $pattern_for_lisp =~ s/[a-z]*$//; $pattern_for_lisp =~ s/^\s*(.)(.*)\1/$2/s; $pattern_for_lisp =~ s/\\/\\\\/g; $pattern_for_lisp =~ s/"/\\"/g; $pattern = "/(?#)/$2" if ($pattern =~ /^(.)\1(.*)$/); while (1) { last NEXT_RE if !($_ = <>); chomp; s/\s+$//; s/^\s+//; last if ($_ eq ""); $info_string = string_for_lisp "\"$_\" =~ $pattern"; $x = eval "\"$_\""; @subs = (); eval <<"END"; if (\$x =~ ${pattern}) { push \@subs,\$&; push \@subs,\$1; push \@subs,\$2; push \@subs,\$3; push \@subs,\$4; push \@subs,\$5; push \@subs,\$6; push \@subs,\$7; push \@subs,\$8; push \@subs,\$9; push \@subs,\$10; push \@subs,\$11; push \@subs,\$12; push \@subs,\$13; push \@subs,\$14; push \@subs,\$15; push \@subs,\$16; } \$test = sub { my \$times = shift; my \$start = time; for (my \$i = 0; \$i < \$times; \$i++) { \$x =~ ${pattern}; } return time - \$start; }; END $counter++; print STDERR "$counter\n"; if ($@) { $error = 't'; } else { $error = 'nil'; } print "($counter $info_string \"$pattern_for_lisp\" $case_insensitive_mode $multi_line_mode $single_line_mode $extended_mode " . string_for_lisp($x) . " $error "; if (!@subs) { print 'nil nil'; } else { print string_for_lisp($subs[0]) . ' ('; undef $not_first; for ($i = 1; $i <= 16; $i++) { print ' ' unless $i == 1; if (defined $subs[$i]) { print string_for_lisp $subs[$i]; } else { print 'nil'; } } print ')'; } print ")\n"; } } cafeobj-1.5.4/cl-ppcre/test/perltestdata0000644000000000000000000321722112403660236016725 0ustar rootroot(1 "\"the quick brown fox\" =~ /the quick brown fox/" "the quick brown fox" nil nil nil nil "the quick brown fox" nil "the quick brown fox" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (2 "\"The quick brown FOX\" =~ /the quick brown fox/" "the quick brown fox" nil nil nil nil "The quick brown FOX" nil nil nil) (3 "\"What do you know about the quick brown fox?\" =~ /the quick brown fox/" "the quick brown fox" nil nil nil nil "What do you know about the quick brown fox?" nil "the quick brown fox" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (4 "\"What do you know about THE QUICK BROWN FOX?\" =~ /the quick brown fox/" "the quick brown fox" nil nil nil nil "What do you know about THE QUICK BROWN FOX?" nil nil nil) (5 "\"the quick brown fox\" =~ /The quick brown fox/i" "The quick brown fox" t nil nil nil "the quick brown fox" nil "the quick brown fox" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (6 "\"The quick brown FOX\" =~ /The quick brown fox/i" "The quick brown fox" t nil nil nil "The quick brown FOX" nil "The quick brown FOX" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (7 "\"What do you know about the quick brown fox?\" =~ /The quick brown fox/i" "The quick brown fox" t nil nil nil "What do you know about the quick brown fox?" nil "the quick brown fox" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (8 "\"What do you know about THE QUICK BROWN FOX?\" =~ /The quick brown fox/i" "The quick brown fox" t nil nil nil "What do you know about THE QUICK BROWN FOX?" nil "THE QUICK BROWN FOX" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (9 "\"abcd\\t\\n\\r\\f\\a\\e9;\\$\\\\?caxyz\" =~ /abcd\\t\\n\\r\\f\\a\\e\\071\\x3b\\$\\\\\\?caxyz/" "abcd\\t\\n\\r\\f\\a\\e\\071\\x3b\\$\\\\\\?caxyz" nil nil nil nil ("abcd" 9 10 13 12 7 27 "9;$\\?caxyz") nil ("abcd" 9 10 13 12 7 27 "9;$\\?caxyz") (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (10 "\"abxyzpqrrrabbxyyyypqAzz\" =~ /a*abc?xyz+pqr{3}ab{2,}xy{4,5}pq{0,6}AB{0,}zz/" "a*abc?xyz+pqr{3}ab{2,}xy{4,5}pq{0,6}AB{0,}zz" nil nil nil nil "abxyzpqrrrabbxyyyypqAzz" nil "abxyzpqrrrabbxyyyypqAzz" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (11 "\"abxyzpqrrrabbxyyyypqAzz\" =~ /a*abc?xyz+pqr{3}ab{2,}xy{4,5}pq{0,6}AB{0,}zz/" "a*abc?xyz+pqr{3}ab{2,}xy{4,5}pq{0,6}AB{0,}zz" nil nil nil nil "abxyzpqrrrabbxyyyypqAzz" nil "abxyzpqrrrabbxyyyypqAzz" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (12 "\"aabxyzpqrrrabbxyyyypqAzz\" =~ /a*abc?xyz+pqr{3}ab{2,}xy{4,5}pq{0,6}AB{0,}zz/" "a*abc?xyz+pqr{3}ab{2,}xy{4,5}pq{0,6}AB{0,}zz" nil nil nil nil "aabxyzpqrrrabbxyyyypqAzz" nil "aabxyzpqrrrabbxyyyypqAzz" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (13 "\"aaabxyzpqrrrabbxyyyypqAzz\" =~ /a*abc?xyz+pqr{3}ab{2,}xy{4,5}pq{0,6}AB{0,}zz/" "a*abc?xyz+pqr{3}ab{2,}xy{4,5}pq{0,6}AB{0,}zz" nil nil nil nil "aaabxyzpqrrrabbxyyyypqAzz" nil "aaabxyzpqrrrabbxyyyypqAzz" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (14 "\"aaaabxyzpqrrrabbxyyyypqAzz\" =~ /a*abc?xyz+pqr{3}ab{2,}xy{4,5}pq{0,6}AB{0,}zz/" "a*abc?xyz+pqr{3}ab{2,}xy{4,5}pq{0,6}AB{0,}zz" nil nil nil nil "aaaabxyzpqrrrabbxyyyypqAzz" nil "aaaabxyzpqrrrabbxyyyypqAzz" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (15 "\"abcxyzpqrrrabbxyyyypqAzz\" =~ /a*abc?xyz+pqr{3}ab{2,}xy{4,5}pq{0,6}AB{0,}zz/" "a*abc?xyz+pqr{3}ab{2,}xy{4,5}pq{0,6}AB{0,}zz" nil nil nil nil "abcxyzpqrrrabbxyyyypqAzz" nil "abcxyzpqrrrabbxyyyypqAzz" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (16 "\"aabcxyzpqrrrabbxyyyypqAzz\" =~ /a*abc?xyz+pqr{3}ab{2,}xy{4,5}pq{0,6}AB{0,}zz/" "a*abc?xyz+pqr{3}ab{2,}xy{4,5}pq{0,6}AB{0,}zz" nil nil nil nil "aabcxyzpqrrrabbxyyyypqAzz" nil "aabcxyzpqrrrabbxyyyypqAzz" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (17 "\"aaabcxyzpqrrrabbxyyyypAzz\" =~ /a*abc?xyz+pqr{3}ab{2,}xy{4,5}pq{0,6}AB{0,}zz/" "a*abc?xyz+pqr{3}ab{2,}xy{4,5}pq{0,6}AB{0,}zz" nil nil nil nil "aaabcxyzpqrrrabbxyyyypAzz" nil "aaabcxyzpqrrrabbxyyyypAzz" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (18 "\"aaabcxyzpqrrrabbxyyyypqAzz\" =~ /a*abc?xyz+pqr{3}ab{2,}xy{4,5}pq{0,6}AB{0,}zz/" "a*abc?xyz+pqr{3}ab{2,}xy{4,5}pq{0,6}AB{0,}zz" nil nil nil nil "aaabcxyzpqrrrabbxyyyypqAzz" nil "aaabcxyzpqrrrabbxyyyypqAzz" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (19 "\"aaabcxyzpqrrrabbxyyyypqqAzz\" =~ /a*abc?xyz+pqr{3}ab{2,}xy{4,5}pq{0,6}AB{0,}zz/" "a*abc?xyz+pqr{3}ab{2,}xy{4,5}pq{0,6}AB{0,}zz" nil nil nil nil "aaabcxyzpqrrrabbxyyyypqqAzz" nil "aaabcxyzpqrrrabbxyyyypqqAzz" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (20 "\"aaabcxyzpqrrrabbxyyyypqqqAzz\" =~ /a*abc?xyz+pqr{3}ab{2,}xy{4,5}pq{0,6}AB{0,}zz/" "a*abc?xyz+pqr{3}ab{2,}xy{4,5}pq{0,6}AB{0,}zz" nil nil nil nil "aaabcxyzpqrrrabbxyyyypqqqAzz" nil "aaabcxyzpqrrrabbxyyyypqqqAzz" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (21 "\"aaabcxyzpqrrrabbxyyyypqqqqAzz\" =~ /a*abc?xyz+pqr{3}ab{2,}xy{4,5}pq{0,6}AB{0,}zz/" "a*abc?xyz+pqr{3}ab{2,}xy{4,5}pq{0,6}AB{0,}zz" nil nil nil nil "aaabcxyzpqrrrabbxyyyypqqqqAzz" nil "aaabcxyzpqrrrabbxyyyypqqqqAzz" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (22 "\"aaabcxyzpqrrrabbxyyyypqqqqqAzz\" =~ /a*abc?xyz+pqr{3}ab{2,}xy{4,5}pq{0,6}AB{0,}zz/" "a*abc?xyz+pqr{3}ab{2,}xy{4,5}pq{0,6}AB{0,}zz" nil nil nil nil "aaabcxyzpqrrrabbxyyyypqqqqqAzz" nil "aaabcxyzpqrrrabbxyyyypqqqqqAzz" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (23 "\"aaabcxyzpqrrrabbxyyyypqqqqqqAzz\" =~ /a*abc?xyz+pqr{3}ab{2,}xy{4,5}pq{0,6}AB{0,}zz/" "a*abc?xyz+pqr{3}ab{2,}xy{4,5}pq{0,6}AB{0,}zz" nil nil nil nil "aaabcxyzpqrrrabbxyyyypqqqqqqAzz" nil "aaabcxyzpqrrrabbxyyyypqqqqqqAzz" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (24 "\"aaaabcxyzpqrrrabbxyyyypqAzz\" =~ /a*abc?xyz+pqr{3}ab{2,}xy{4,5}pq{0,6}AB{0,}zz/" "a*abc?xyz+pqr{3}ab{2,}xy{4,5}pq{0,6}AB{0,}zz" nil nil nil nil "aaaabcxyzpqrrrabbxyyyypqAzz" nil "aaaabcxyzpqrrrabbxyyyypqAzz" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (25 "\"abxyzzpqrrrabbxyyyypqAzz\" =~ /a*abc?xyz+pqr{3}ab{2,}xy{4,5}pq{0,6}AB{0,}zz/" "a*abc?xyz+pqr{3}ab{2,}xy{4,5}pq{0,6}AB{0,}zz" nil nil nil nil "abxyzzpqrrrabbxyyyypqAzz" nil "abxyzzpqrrrabbxyyyypqAzz" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (26 "\"aabxyzzzpqrrrabbxyyyypqAzz\" =~ /a*abc?xyz+pqr{3}ab{2,}xy{4,5}pq{0,6}AB{0,}zz/" "a*abc?xyz+pqr{3}ab{2,}xy{4,5}pq{0,6}AB{0,}zz" nil nil nil nil "aabxyzzzpqrrrabbxyyyypqAzz" nil "aabxyzzzpqrrrabbxyyyypqAzz" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (27 "\"aaabxyzzzzpqrrrabbxyyyypqAzz\" =~ /a*abc?xyz+pqr{3}ab{2,}xy{4,5}pq{0,6}AB{0,}zz/" "a*abc?xyz+pqr{3}ab{2,}xy{4,5}pq{0,6}AB{0,}zz" nil nil nil nil "aaabxyzzzzpqrrrabbxyyyypqAzz" nil "aaabxyzzzzpqrrrabbxyyyypqAzz" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (28 "\"aaaabxyzzzzpqrrrabbxyyyypqAzz\" =~ /a*abc?xyz+pqr{3}ab{2,}xy{4,5}pq{0,6}AB{0,}zz/" "a*abc?xyz+pqr{3}ab{2,}xy{4,5}pq{0,6}AB{0,}zz" nil nil nil nil "aaaabxyzzzzpqrrrabbxyyyypqAzz" nil "aaaabxyzzzzpqrrrabbxyyyypqAzz" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (29 "\"abcxyzzpqrrrabbxyyyypqAzz\" =~ /a*abc?xyz+pqr{3}ab{2,}xy{4,5}pq{0,6}AB{0,}zz/" "a*abc?xyz+pqr{3}ab{2,}xy{4,5}pq{0,6}AB{0,}zz" nil nil nil nil "abcxyzzpqrrrabbxyyyypqAzz" nil "abcxyzzpqrrrabbxyyyypqAzz" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (30 "\"aabcxyzzzpqrrrabbxyyyypqAzz\" =~ /a*abc?xyz+pqr{3}ab{2,}xy{4,5}pq{0,6}AB{0,}zz/" "a*abc?xyz+pqr{3}ab{2,}xy{4,5}pq{0,6}AB{0,}zz" nil nil nil nil "aabcxyzzzpqrrrabbxyyyypqAzz" nil "aabcxyzzzpqrrrabbxyyyypqAzz" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (31 "\"aaabcxyzzzzpqrrrabbxyyyypqAzz\" =~ /a*abc?xyz+pqr{3}ab{2,}xy{4,5}pq{0,6}AB{0,}zz/" "a*abc?xyz+pqr{3}ab{2,}xy{4,5}pq{0,6}AB{0,}zz" nil nil nil nil "aaabcxyzzzzpqrrrabbxyyyypqAzz" nil "aaabcxyzzzzpqrrrabbxyyyypqAzz" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (32 "\"aaaabcxyzzzzpqrrrabbxyyyypqAzz\" =~ /a*abc?xyz+pqr{3}ab{2,}xy{4,5}pq{0,6}AB{0,}zz/" "a*abc?xyz+pqr{3}ab{2,}xy{4,5}pq{0,6}AB{0,}zz" nil nil nil nil "aaaabcxyzzzzpqrrrabbxyyyypqAzz" nil "aaaabcxyzzzzpqrrrabbxyyyypqAzz" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (33 "\"aaaabcxyzzzzpqrrrabbbxyyyypqAzz\" =~ /a*abc?xyz+pqr{3}ab{2,}xy{4,5}pq{0,6}AB{0,}zz/" "a*abc?xyz+pqr{3}ab{2,}xy{4,5}pq{0,6}AB{0,}zz" nil nil nil nil "aaaabcxyzzzzpqrrrabbbxyyyypqAzz" nil "aaaabcxyzzzzpqrrrabbbxyyyypqAzz" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (34 "\"aaaabcxyzzzzpqrrrabbbxyyyyypqAzz\" =~ /a*abc?xyz+pqr{3}ab{2,}xy{4,5}pq{0,6}AB{0,}zz/" "a*abc?xyz+pqr{3}ab{2,}xy{4,5}pq{0,6}AB{0,}zz" nil nil nil nil "aaaabcxyzzzzpqrrrabbbxyyyyypqAzz" nil "aaaabcxyzzzzpqrrrabbbxyyyyypqAzz" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (35 "\"aaabcxyzpqrrrabbxyyyypABzz\" =~ /a*abc?xyz+pqr{3}ab{2,}xy{4,5}pq{0,6}AB{0,}zz/" "a*abc?xyz+pqr{3}ab{2,}xy{4,5}pq{0,6}AB{0,}zz" nil nil nil nil "aaabcxyzpqrrrabbxyyyypABzz" nil "aaabcxyzpqrrrabbxyyyypABzz" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (36 "\"aaabcxyzpqrrrabbxyyyypABBzz\" =~ /a*abc?xyz+pqr{3}ab{2,}xy{4,5}pq{0,6}AB{0,}zz/" "a*abc?xyz+pqr{3}ab{2,}xy{4,5}pq{0,6}AB{0,}zz" nil nil nil nil "aaabcxyzpqrrrabbxyyyypABBzz" nil "aaabcxyzpqrrrabbxyyyypABBzz" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (37 "\">>>aaabxyzpqrrrabbxyyyypqAzz\" =~ /a*abc?xyz+pqr{3}ab{2,}xy{4,5}pq{0,6}AB{0,}zz/" "a*abc?xyz+pqr{3}ab{2,}xy{4,5}pq{0,6}AB{0,}zz" nil nil nil nil ">>>aaabxyzpqrrrabbxyyyypqAzz" nil "aaabxyzpqrrrabbxyyyypqAzz" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (38 "\">aaaabxyzpqrrrabbxyyyypqAzz\" =~ /a*abc?xyz+pqr{3}ab{2,}xy{4,5}pq{0,6}AB{0,}zz/" "a*abc?xyz+pqr{3}ab{2,}xy{4,5}pq{0,6}AB{0,}zz" nil nil nil nil ">aaaabxyzpqrrrabbxyyyypqAzz" nil "aaaabxyzpqrrrabbxyyyypqAzz" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (39 "\">>>>abcxyzpqrrrabbxyyyypqAzz\" =~ /a*abc?xyz+pqr{3}ab{2,}xy{4,5}pq{0,6}AB{0,}zz/" "a*abc?xyz+pqr{3}ab{2,}xy{4,5}pq{0,6}AB{0,}zz" nil nil nil nil ">>>>abcxyzpqrrrabbxyyyypqAzz" nil "abcxyzpqrrrabbxyyyypqAzz" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (40 "\"abxyzpqrrabbxyyyypqAzz\" =~ /a*abc?xyz+pqr{3}ab{2,}xy{4,5}pq{0,6}AB{0,}zz/" "a*abc?xyz+pqr{3}ab{2,}xy{4,5}pq{0,6}AB{0,}zz" nil nil nil nil "abxyzpqrrabbxyyyypqAzz" nil nil nil) (41 "\"abxyzpqrrrrabbxyyyypqAzz\" =~ /a*abc?xyz+pqr{3}ab{2,}xy{4,5}pq{0,6}AB{0,}zz/" "a*abc?xyz+pqr{3}ab{2,}xy{4,5}pq{0,6}AB{0,}zz" nil nil nil nil "abxyzpqrrrrabbxyyyypqAzz" nil nil nil) (42 "\"abxyzpqrrrabxyyyypqAzz\" =~ /a*abc?xyz+pqr{3}ab{2,}xy{4,5}pq{0,6}AB{0,}zz/" "a*abc?xyz+pqr{3}ab{2,}xy{4,5}pq{0,6}AB{0,}zz" nil nil nil nil "abxyzpqrrrabxyyyypqAzz" nil nil nil) (43 "\"aaaabcxyzzzzpqrrrabbbxyyyyyypqAzz\" =~ /a*abc?xyz+pqr{3}ab{2,}xy{4,5}pq{0,6}AB{0,}zz/" "a*abc?xyz+pqr{3}ab{2,}xy{4,5}pq{0,6}AB{0,}zz" nil nil nil nil "aaaabcxyzzzzpqrrrabbbxyyyyyypqAzz" nil nil nil) (44 "\"aaaabcxyzzzzpqrrrabbbxyyypqAzz\" =~ /a*abc?xyz+pqr{3}ab{2,}xy{4,5}pq{0,6}AB{0,}zz/" "a*abc?xyz+pqr{3}ab{2,}xy{4,5}pq{0,6}AB{0,}zz" nil nil nil nil "aaaabcxyzzzzpqrrrabbbxyyypqAzz" nil nil nil) (45 "\"aaabcxyzpqrrrabbxyyyypqqqqqqqAzz\" =~ /a*abc?xyz+pqr{3}ab{2,}xy{4,5}pq{0,6}AB{0,}zz/" "a*abc?xyz+pqr{3}ab{2,}xy{4,5}pq{0,6}AB{0,}zz" nil nil nil nil "aaabcxyzpqrrrabbxyyyypqqqqqqqAzz" nil nil nil) (46 "\"abczz\" =~ /^(abc){1,2}zz/" "^(abc){1,2}zz" nil nil nil nil "abczz" nil "abczz" ("abc" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (47 "\"abcabczz\" =~ /^(abc){1,2}zz/" "^(abc){1,2}zz" nil nil nil nil "abcabczz" nil "abcabczz" ("abc" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (48 "\"zz\" =~ /^(abc){1,2}zz/" "^(abc){1,2}zz" nil nil nil nil "zz" nil nil nil) (49 "\"abcabcabczz\" =~ /^(abc){1,2}zz/" "^(abc){1,2}zz" nil nil nil nil "abcabcabczz" nil nil nil) (50 "\">>abczz\" =~ /^(abc){1,2}zz/" "^(abc){1,2}zz" nil nil nil nil ">>abczz" nil nil nil) (51 "\"bc\" =~ /^(b+?|a){1,2}?c/" "^(b+?|a){1,2}?c" nil nil nil nil "bc" nil "bc" ("b" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (52 "\"bbc\" =~ /^(b+?|a){1,2}?c/" "^(b+?|a){1,2}?c" nil nil nil nil "bbc" nil "bbc" ("b" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (53 "\"bbbc\" =~ /^(b+?|a){1,2}?c/" "^(b+?|a){1,2}?c" nil nil nil nil "bbbc" nil "bbbc" ("bb" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (54 "\"bac\" =~ /^(b+?|a){1,2}?c/" "^(b+?|a){1,2}?c" nil nil nil nil "bac" nil "bac" ("a" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (55 "\"bbac\" =~ /^(b+?|a){1,2}?c/" "^(b+?|a){1,2}?c" nil nil nil nil "bbac" nil "bbac" ("a" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (56 "\"aac\" =~ /^(b+?|a){1,2}?c/" "^(b+?|a){1,2}?c" nil nil nil nil "aac" nil "aac" ("a" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (57 "\"abbbbbbbbbbbc\" =~ /^(b+?|a){1,2}?c/" "^(b+?|a){1,2}?c" nil nil nil nil "abbbbbbbbbbbc" nil "abbbbbbbbbbbc" ("bbbbbbbbbbb" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (58 "\"bbbbbbbbbbbac\" =~ /^(b+?|a){1,2}?c/" "^(b+?|a){1,2}?c" nil nil nil nil "bbbbbbbbbbbac" nil "bbbbbbbbbbbac" ("a" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (59 "\"aaac\" =~ /^(b+?|a){1,2}?c/" "^(b+?|a){1,2}?c" nil nil nil nil "aaac" nil nil nil) (60 "\"abbbbbbbbbbbac\" =~ /^(b+?|a){1,2}?c/" "^(b+?|a){1,2}?c" nil nil nil nil "abbbbbbbbbbbac" nil nil nil) (61 "\"bc\" =~ /^(b+|a){1,2}c/" "^(b+|a){1,2}c" nil nil nil nil "bc" nil "bc" ("b" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (62 "\"bbc\" =~ /^(b+|a){1,2}c/" "^(b+|a){1,2}c" nil nil nil nil "bbc" nil "bbc" ("bb" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (63 "\"bbbc\" =~ /^(b+|a){1,2}c/" "^(b+|a){1,2}c" nil nil nil nil "bbbc" nil "bbbc" ("bbb" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (64 "\"bac\" =~ /^(b+|a){1,2}c/" "^(b+|a){1,2}c" nil nil nil nil "bac" nil "bac" ("a" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (65 "\"bbac\" =~ /^(b+|a){1,2}c/" "^(b+|a){1,2}c" nil nil nil nil "bbac" nil "bbac" ("a" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (66 "\"aac\" =~ /^(b+|a){1,2}c/" "^(b+|a){1,2}c" nil nil nil nil "aac" nil "aac" ("a" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (67 "\"abbbbbbbbbbbc\" =~ /^(b+|a){1,2}c/" "^(b+|a){1,2}c" nil nil nil nil "abbbbbbbbbbbc" nil "abbbbbbbbbbbc" ("bbbbbbbbbbb" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (68 "\"bbbbbbbbbbbac\" =~ /^(b+|a){1,2}c/" "^(b+|a){1,2}c" nil nil nil nil "bbbbbbbbbbbac" nil "bbbbbbbbbbbac" ("a" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (69 "\"aaac\" =~ /^(b+|a){1,2}c/" "^(b+|a){1,2}c" nil nil nil nil "aaac" nil nil nil) (70 "\"abbbbbbbbbbbac\" =~ /^(b+|a){1,2}c/" "^(b+|a){1,2}c" nil nil nil nil "abbbbbbbbbbbac" nil nil nil) (71 "\"bbc\" =~ /^(b+|a){1,2}?bc/" "^(b+|a){1,2}?bc" nil nil nil nil "bbc" nil "bbc" ("b" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (72 "\"babc\" =~ /^(b*|ba){1,2}?bc/" "^(b*|ba){1,2}?bc" nil nil nil nil "babc" nil "babc" ("ba" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (73 "\"bbabc\" =~ /^(b*|ba){1,2}?bc/" "^(b*|ba){1,2}?bc" nil nil nil nil "bbabc" nil "bbabc" ("ba" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (74 "\"bababc\" =~ /^(b*|ba){1,2}?bc/" "^(b*|ba){1,2}?bc" nil nil nil nil "bababc" nil "bababc" ("ba" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (75 "\"bababbc\" =~ /^(b*|ba){1,2}?bc/" "^(b*|ba){1,2}?bc" nil nil nil nil "bababbc" nil nil nil) (76 "\"babababc\" =~ /^(b*|ba){1,2}?bc/" "^(b*|ba){1,2}?bc" nil nil nil nil "babababc" nil nil nil) (77 "\"babc\" =~ /^(ba|b*){1,2}?bc/" "^(ba|b*){1,2}?bc" nil nil nil nil "babc" nil "babc" ("ba" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (78 "\"bbabc\" =~ /^(ba|b*){1,2}?bc/" "^(ba|b*){1,2}?bc" nil nil nil nil "bbabc" nil "bbabc" ("ba" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (79 "\"bababc\" =~ /^(ba|b*){1,2}?bc/" "^(ba|b*){1,2}?bc" nil nil nil nil "bababc" nil "bababc" ("ba" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (80 "\"bababbc\" =~ /^(ba|b*){1,2}?bc/" "^(ba|b*){1,2}?bc" nil nil nil nil "bababbc" nil nil nil) (81 "\"babababc\" =~ /^(ba|b*){1,2}?bc/" "^(ba|b*){1,2}?bc" nil nil nil nil "babababc" nil nil nil) (82 "\"\\x01\\x01\\e;z\" =~ /^\\ca\\cA\\c[\\c{\\c:/" "^\\ca\\cA\\c[\\c{\\c:" nil nil nil nil ("" 1 1 27 ";z") nil ("" 1 1 27 ";z") (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (83 "\"athing\" =~ /^[ab\\]cde]/" "^[ab\\]cde]" nil nil nil nil "athing" nil "a" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (84 "\"bthing\" =~ /^[ab\\]cde]/" "^[ab\\]cde]" nil nil nil nil "bthing" nil "b" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (85 "\"]thing\" =~ /^[ab\\]cde]/" "^[ab\\]cde]" nil nil nil nil "]thing" nil "]" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (86 "\"cthing\" =~ /^[ab\\]cde]/" "^[ab\\]cde]" nil nil nil nil "cthing" nil "c" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (87 "\"dthing\" =~ /^[ab\\]cde]/" "^[ab\\]cde]" nil nil nil nil "dthing" nil "d" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (88 "\"ething\" =~ /^[ab\\]cde]/" "^[ab\\]cde]" nil nil nil nil "ething" nil "e" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (89 "\"fthing\" =~ /^[ab\\]cde]/" "^[ab\\]cde]" nil nil nil nil "fthing" nil nil nil) (90 "\"[thing\" =~ /^[ab\\]cde]/" "^[ab\\]cde]" nil nil nil nil "[thing" nil nil nil) (91 "\"\\\\thing\" =~ /^[ab\\]cde]/" "^[ab\\]cde]" nil nil nil nil "\\thing" nil nil nil) (92 "\"]thing\" =~ /^[]cde]/" "^[]cde]" nil nil nil nil "]thing" nil "]" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (93 "\"cthing\" =~ /^[]cde]/" "^[]cde]" nil nil nil nil "cthing" nil "c" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (94 "\"dthing\" =~ /^[]cde]/" "^[]cde]" nil nil nil nil "dthing" nil "d" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (95 "\"ething\" =~ /^[]cde]/" "^[]cde]" nil nil nil nil "ething" nil "e" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (96 "\"athing\" =~ /^[]cde]/" "^[]cde]" nil nil nil nil "athing" nil nil nil) (97 "\"fthing\" =~ /^[]cde]/" "^[]cde]" nil nil nil nil "fthing" nil nil nil) (98 "\"fthing\" =~ /^[^ab\\]cde]/" "^[^ab\\]cde]" nil nil nil nil "fthing" nil "f" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (99 "\"[thing\" =~ /^[^ab\\]cde]/" "^[^ab\\]cde]" nil nil nil nil "[thing" nil "[" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (100 "\"\\\\thing\" =~ /^[^ab\\]cde]/" "^[^ab\\]cde]" nil nil nil nil "\\thing" nil "\\" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (101 "\"athing\" =~ /^[^ab\\]cde]/" "^[^ab\\]cde]" nil nil nil nil "athing" nil nil nil) (102 "\"bthing\" =~ /^[^ab\\]cde]/" "^[^ab\\]cde]" nil nil nil nil "bthing" nil nil nil) (103 "\"]thing\" =~ /^[^ab\\]cde]/" "^[^ab\\]cde]" nil nil nil nil "]thing" nil nil nil) (104 "\"cthing\" =~ /^[^ab\\]cde]/" "^[^ab\\]cde]" nil nil nil nil "cthing" nil nil nil) (105 "\"dthing\" =~ /^[^ab\\]cde]/" "^[^ab\\]cde]" nil nil nil nil "dthing" nil nil nil) (106 "\"ething\" =~ /^[^ab\\]cde]/" "^[^ab\\]cde]" nil nil nil nil "ething" nil nil nil) (107 "\"athing\" =~ /^[^]cde]/" "^[^]cde]" nil nil nil nil "athing" nil "a" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (108 "\"fthing\" =~ /^[^]cde]/" "^[^]cde]" nil nil nil nil "fthing" nil "f" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (109 "\"]thing\" =~ /^[^]cde]/" "^[^]cde]" nil nil nil nil "]thing" nil nil nil) (110 "\"cthing\" =~ /^[^]cde]/" "^[^]cde]" nil nil nil nil "cthing" nil nil nil) (111 "\"dthing\" =~ /^[^]cde]/" "^[^]cde]" nil nil nil nil "dthing" nil nil nil) (112 "\"ething\" =~ /^[^]cde]/" "^[^]cde]" nil nil nil nil "ething" nil nil nil) (113 ("\"" 129 "\" =~ /^\\" 129 "/") "^\\" nil nil nil nil ("" 129) nil ("" 129) (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (114 ("\"" 255 "\" =~ /^" 255 "/") "^ÿ" nil nil nil nil ("" 255) nil ("" 255) (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (115 "\"0\" =~ /^[0-9]+$/" "^[0-9]+$" nil nil nil nil "0" nil "0" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (116 "\"1\" =~ /^[0-9]+$/" "^[0-9]+$" nil nil nil nil "1" nil "1" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (117 "\"2\" =~ /^[0-9]+$/" "^[0-9]+$" nil nil nil nil "2" nil "2" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (118 "\"3\" =~ /^[0-9]+$/" "^[0-9]+$" nil nil nil nil "3" nil "3" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (119 "\"4\" =~ /^[0-9]+$/" "^[0-9]+$" nil nil nil nil "4" nil "4" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (120 "\"5\" =~ /^[0-9]+$/" "^[0-9]+$" nil nil nil nil "5" nil "5" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (121 "\"6\" =~ /^[0-9]+$/" "^[0-9]+$" nil nil nil nil "6" nil "6" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (122 "\"7\" =~ /^[0-9]+$/" "^[0-9]+$" nil nil nil nil "7" nil "7" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (123 "\"8\" =~ /^[0-9]+$/" "^[0-9]+$" nil nil nil nil "8" nil "8" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (124 "\"9\" =~ /^[0-9]+$/" "^[0-9]+$" nil nil nil nil "9" nil "9" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (125 "\"10\" =~ /^[0-9]+$/" "^[0-9]+$" nil nil nil nil "10" nil "10" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (126 "\"100\" =~ /^[0-9]+$/" "^[0-9]+$" nil nil nil nil "100" nil "100" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (127 "\"abc\" =~ /^[0-9]+$/" "^[0-9]+$" nil nil nil nil "abc" nil nil nil) (128 "\"enter\" =~ /^.*nter/" "^.*nter" nil nil nil nil "enter" nil "enter" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (129 "\"inter\" =~ /^.*nter/" "^.*nter" nil nil nil nil "inter" nil "inter" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (130 "\"uponter\" =~ /^.*nter/" "^.*nter" nil nil nil nil "uponter" nil "uponter" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (131 "\"xxx0\" =~ /^xxx[0-9]+$/" "^xxx[0-9]+$" nil nil nil nil "xxx0" nil "xxx0" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (132 "\"xxx1234\" =~ /^xxx[0-9]+$/" "^xxx[0-9]+$" nil nil nil nil "xxx1234" nil "xxx1234" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (133 "\"xxx\" =~ /^xxx[0-9]+$/" "^xxx[0-9]+$" nil nil nil nil "xxx" nil nil nil) (134 "\"x123\" =~ /^.+[0-9][0-9][0-9]$/" "^.+[0-9][0-9][0-9]$" nil nil nil nil "x123" nil "x123" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (135 "\"xx123\" =~ /^.+[0-9][0-9][0-9]$/" "^.+[0-9][0-9][0-9]$" nil nil nil nil "xx123" nil "xx123" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (136 "\"123456\" =~ /^.+[0-9][0-9][0-9]$/" "^.+[0-9][0-9][0-9]$" nil nil nil nil "123456" nil "123456" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (137 "\"123\" =~ /^.+[0-9][0-9][0-9]$/" "^.+[0-9][0-9][0-9]$" nil nil nil nil "123" nil nil nil) (138 "\"x1234\" =~ /^.+[0-9][0-9][0-9]$/" "^.+[0-9][0-9][0-9]$" nil nil nil nil "x1234" nil "x1234" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (139 "\"x123\" =~ /^.+?[0-9][0-9][0-9]$/" "^.+?[0-9][0-9][0-9]$" nil nil nil nil "x123" nil "x123" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (140 "\"xx123\" =~ /^.+?[0-9][0-9][0-9]$/" "^.+?[0-9][0-9][0-9]$" nil nil nil nil "xx123" nil "xx123" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (141 "\"123456\" =~ /^.+?[0-9][0-9][0-9]$/" "^.+?[0-9][0-9][0-9]$" nil nil nil nil "123456" nil "123456" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (142 "\"123\" =~ /^.+?[0-9][0-9][0-9]$/" "^.+?[0-9][0-9][0-9]$" nil nil nil nil "123" nil nil nil) (143 "\"x1234\" =~ /^.+?[0-9][0-9][0-9]$/" "^.+?[0-9][0-9][0-9]$" nil nil nil nil "x1234" nil "x1234" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (144 "\"abc!pqr=apquxz.ixr.zzz.ac.uk\" =~ /^([^!]+)!(.+)=apquxz\\.ixr\\.zzz\\.ac\\.uk$/" "^([^!]+)!(.+)=apquxz\\.ixr\\.zzz\\.ac\\.uk$" nil nil nil nil "abc!pqr=apquxz.ixr.zzz.ac.uk" nil "abc!pqr=apquxz.ixr.zzz.ac.uk" ("abc" "pqr" nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (145 "\"!pqr=apquxz.ixr.zzz.ac.uk\" =~ /^([^!]+)!(.+)=apquxz\\.ixr\\.zzz\\.ac\\.uk$/" "^([^!]+)!(.+)=apquxz\\.ixr\\.zzz\\.ac\\.uk$" nil nil nil nil "!pqr=apquxz.ixr.zzz.ac.uk" nil nil nil) (146 "\"abc!=apquxz.ixr.zzz.ac.uk\" =~ /^([^!]+)!(.+)=apquxz\\.ixr\\.zzz\\.ac\\.uk$/" "^([^!]+)!(.+)=apquxz\\.ixr\\.zzz\\.ac\\.uk$" nil nil nil nil "abc!=apquxz.ixr.zzz.ac.uk" nil nil nil) (147 "\"abc!pqr=apquxz:ixr.zzz.ac.uk\" =~ /^([^!]+)!(.+)=apquxz\\.ixr\\.zzz\\.ac\\.uk$/" "^([^!]+)!(.+)=apquxz\\.ixr\\.zzz\\.ac\\.uk$" nil nil nil nil "abc!pqr=apquxz:ixr.zzz.ac.uk" nil nil nil) (148 "\"abc!pqr=apquxz.ixr.zzz.ac.ukk\" =~ /^([^!]+)!(.+)=apquxz\\.ixr\\.zzz\\.ac\\.uk$/" "^([^!]+)!(.+)=apquxz\\.ixr\\.zzz\\.ac\\.uk$" nil nil nil nil "abc!pqr=apquxz.ixr.zzz.ac.ukk" nil nil nil) (149 "\"Well, we need a colon: somewhere\" =~ /:/" ":" nil nil nil nil "Well, we need a colon: somewhere" nil ":" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (150 "\"Fail if we don't\" =~ /:/" ":" nil nil nil nil "Fail if we don't" nil nil nil) (151 "\"0abc\" =~ /([\\da-f:]+)$/i" "([\\da-f:]+)$" t nil nil nil "0abc" nil "0abc" ("0abc" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (152 "\"abc\" =~ /([\\da-f:]+)$/i" "([\\da-f:]+)$" t nil nil nil "abc" nil "abc" ("abc" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (153 "\"fed\" =~ /([\\da-f:]+)$/i" "([\\da-f:]+)$" t nil nil nil "fed" nil "fed" ("fed" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (154 "\"E\" =~ /([\\da-f:]+)$/i" "([\\da-f:]+)$" t nil nil nil "E" nil "E" ("E" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (155 "\"::\" =~ /([\\da-f:]+)$/i" "([\\da-f:]+)$" t nil nil nil "::" nil "::" ("::" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (156 "\"5f03:12C0::932e\" =~ /([\\da-f:]+)$/i" "([\\da-f:]+)$" t nil nil nil "5f03:12C0::932e" nil "5f03:12C0::932e" ("5f03:12C0::932e" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (157 "\"fed def\" =~ /([\\da-f:]+)$/i" "([\\da-f:]+)$" t nil nil nil "fed def" nil "def" ("def" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (158 "\"Any old stuff\" =~ /([\\da-f:]+)$/i" "([\\da-f:]+)$" t nil nil nil "Any old stuff" nil "ff" ("ff" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (159 "\"0zzz\" =~ /([\\da-f:]+)$/i" "([\\da-f:]+)$" t nil nil nil "0zzz" nil nil nil) (160 "\"gzzz\" =~ /([\\da-f:]+)$/i" "([\\da-f:]+)$" t nil nil nil "gzzz" nil nil nil) (161 "\"fed\\x20\" =~ /([\\da-f:]+)$/i" "([\\da-f:]+)$" t nil nil nil "fed " nil nil nil) (162 "\"Any old rubbish\" =~ /([\\da-f:]+)$/i" "([\\da-f:]+)$" t nil nil nil "Any old rubbish" nil nil nil) (163 "\".1.2.3\" =~ /^.*\\.(\\d{1,3})\\.(\\d{1,3})\\.(\\d{1,3})$/" "^.*\\.(\\d{1,3})\\.(\\d{1,3})\\.(\\d{1,3})$" nil nil nil nil ".1.2.3" nil ".1.2.3" ("1" "2" "3" nil nil nil nil nil nil nil nil nil nil nil nil nil)) (164 "\"A.12.123.0\" =~ /^.*\\.(\\d{1,3})\\.(\\d{1,3})\\.(\\d{1,3})$/" "^.*\\.(\\d{1,3})\\.(\\d{1,3})\\.(\\d{1,3})$" nil nil nil nil "A.12.123.0" nil "A.12.123.0" ("12" "123" "0" nil nil nil nil nil nil nil nil nil nil nil nil nil)) (165 "\".1.2.3333\" =~ /^.*\\.(\\d{1,3})\\.(\\d{1,3})\\.(\\d{1,3})$/" "^.*\\.(\\d{1,3})\\.(\\d{1,3})\\.(\\d{1,3})$" nil nil nil nil ".1.2.3333" nil nil nil) (166 "\"1.2.3\" =~ /^.*\\.(\\d{1,3})\\.(\\d{1,3})\\.(\\d{1,3})$/" "^.*\\.(\\d{1,3})\\.(\\d{1,3})\\.(\\d{1,3})$" nil nil nil nil "1.2.3" nil nil nil) (167 "\"1234.2.3\" =~ /^.*\\.(\\d{1,3})\\.(\\d{1,3})\\.(\\d{1,3})$/" "^.*\\.(\\d{1,3})\\.(\\d{1,3})\\.(\\d{1,3})$" nil nil nil nil "1234.2.3" nil nil nil) (168 "\"1 IN SOA non-sp1 non-sp2(\" =~ /^(\\d+)\\s+IN\\s+SOA\\s+(\\S+)\\s+(\\S+)\\s*\\(\\s*$/" "^(\\d+)\\s+IN\\s+SOA\\s+(\\S+)\\s+(\\S+)\\s*\\(\\s*$" nil nil nil nil "1 IN SOA non-sp1 non-sp2(" nil "1 IN SOA non-sp1 non-sp2(" ("1" "non-sp1" "non-sp2" nil nil nil nil nil nil nil nil nil nil nil nil nil)) (169 "\"1 IN SOA non-sp1 non-sp2 (\" =~ /^(\\d+)\\s+IN\\s+SOA\\s+(\\S+)\\s+(\\S+)\\s*\\(\\s*$/" "^(\\d+)\\s+IN\\s+SOA\\s+(\\S+)\\s+(\\S+)\\s*\\(\\s*$" nil nil nil nil "1 IN SOA non-sp1 non-sp2 (" nil "1 IN SOA non-sp1 non-sp2 (" ("1" "non-sp1" "non-sp2" nil nil nil nil nil nil nil nil nil nil nil nil nil)) (170 "\"1IN SOA non-sp1 non-sp2(\" =~ /^(\\d+)\\s+IN\\s+SOA\\s+(\\S+)\\s+(\\S+)\\s*\\(\\s*$/" "^(\\d+)\\s+IN\\s+SOA\\s+(\\S+)\\s+(\\S+)\\s*\\(\\s*$" nil nil nil nil "1IN SOA non-sp1 non-sp2(" nil nil nil) (171 "\"a.\" =~ /^[a-zA-Z\\d][a-zA-Z\\d\\-]*(\\.[a-zA-Z\\d][a-zA-z\\d\\-]*)*\\.$/" "^[a-zA-Z\\d][a-zA-Z\\d\\-]*(\\.[a-zA-Z\\d][a-zA-z\\d\\-]*)*\\.$" nil nil nil nil "a." nil "a." (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (172 "\"Z.\" =~ /^[a-zA-Z\\d][a-zA-Z\\d\\-]*(\\.[a-zA-Z\\d][a-zA-z\\d\\-]*)*\\.$/" "^[a-zA-Z\\d][a-zA-Z\\d\\-]*(\\.[a-zA-Z\\d][a-zA-z\\d\\-]*)*\\.$" nil nil nil nil "Z." nil "Z." (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (173 "\"2.\" =~ /^[a-zA-Z\\d][a-zA-Z\\d\\-]*(\\.[a-zA-Z\\d][a-zA-z\\d\\-]*)*\\.$/" "^[a-zA-Z\\d][a-zA-Z\\d\\-]*(\\.[a-zA-Z\\d][a-zA-z\\d\\-]*)*\\.$" nil nil nil nil "2." nil "2." (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (174 "\"ab-c.pq-r.\" =~ /^[a-zA-Z\\d][a-zA-Z\\d\\-]*(\\.[a-zA-Z\\d][a-zA-z\\d\\-]*)*\\.$/" "^[a-zA-Z\\d][a-zA-Z\\d\\-]*(\\.[a-zA-Z\\d][a-zA-z\\d\\-]*)*\\.$" nil nil nil nil "ab-c.pq-r." nil "ab-c.pq-r." (".pq-r" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (175 "\"sxk.zzz.ac.uk.\" =~ /^[a-zA-Z\\d][a-zA-Z\\d\\-]*(\\.[a-zA-Z\\d][a-zA-z\\d\\-]*)*\\.$/" "^[a-zA-Z\\d][a-zA-Z\\d\\-]*(\\.[a-zA-Z\\d][a-zA-z\\d\\-]*)*\\.$" nil nil nil nil "sxk.zzz.ac.uk." nil "sxk.zzz.ac.uk." (".uk" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (176 "\"x-.y-.\" =~ /^[a-zA-Z\\d][a-zA-Z\\d\\-]*(\\.[a-zA-Z\\d][a-zA-z\\d\\-]*)*\\.$/" "^[a-zA-Z\\d][a-zA-Z\\d\\-]*(\\.[a-zA-Z\\d][a-zA-z\\d\\-]*)*\\.$" nil nil nil nil "x-.y-." nil "x-.y-." (".y-" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (177 "\"-abc.peq.\" =~ /^[a-zA-Z\\d][a-zA-Z\\d\\-]*(\\.[a-zA-Z\\d][a-zA-z\\d\\-]*)*\\.$/" "^[a-zA-Z\\d][a-zA-Z\\d\\-]*(\\.[a-zA-Z\\d][a-zA-z\\d\\-]*)*\\.$" nil nil nil nil "-abc.peq." nil nil nil) (178 "\"*.a\" =~ /^\\*\\.[a-z]([a-z\\-\\d]*[a-z\\d]+)?(\\.[a-z]([a-z\\-\\d]*[a-z\\d]+)?)*$/" "^\\*\\.[a-z]([a-z\\-\\d]*[a-z\\d]+)?(\\.[a-z]([a-z\\-\\d]*[a-z\\d]+)?)*$" nil nil nil nil "*.a" nil "*.a" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (179 "\"*.b0-a\" =~ /^\\*\\.[a-z]([a-z\\-\\d]*[a-z\\d]+)?(\\.[a-z]([a-z\\-\\d]*[a-z\\d]+)?)*$/" "^\\*\\.[a-z]([a-z\\-\\d]*[a-z\\d]+)?(\\.[a-z]([a-z\\-\\d]*[a-z\\d]+)?)*$" nil nil nil nil "*.b0-a" nil "*.b0-a" ("0-a" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (180 "\"*.c3-b.c\" =~ /^\\*\\.[a-z]([a-z\\-\\d]*[a-z\\d]+)?(\\.[a-z]([a-z\\-\\d]*[a-z\\d]+)?)*$/" "^\\*\\.[a-z]([a-z\\-\\d]*[a-z\\d]+)?(\\.[a-z]([a-z\\-\\d]*[a-z\\d]+)?)*$" nil nil nil nil "*.c3-b.c" nil "*.c3-b.c" ("3-b" ".c" nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (181 "\"*.c-a.b-c\" =~ /^\\*\\.[a-z]([a-z\\-\\d]*[a-z\\d]+)?(\\.[a-z]([a-z\\-\\d]*[a-z\\d]+)?)*$/" "^\\*\\.[a-z]([a-z\\-\\d]*[a-z\\d]+)?(\\.[a-z]([a-z\\-\\d]*[a-z\\d]+)?)*$" nil nil nil nil "*.c-a.b-c" nil "*.c-a.b-c" ("-a" ".b-c" "-c" nil nil nil nil nil nil nil nil nil nil nil nil nil)) (182 "\"*.0\" =~ /^\\*\\.[a-z]([a-z\\-\\d]*[a-z\\d]+)?(\\.[a-z]([a-z\\-\\d]*[a-z\\d]+)?)*$/" "^\\*\\.[a-z]([a-z\\-\\d]*[a-z\\d]+)?(\\.[a-z]([a-z\\-\\d]*[a-z\\d]+)?)*$" nil nil nil nil "*.0" nil nil nil) (183 "\"*.a-\" =~ /^\\*\\.[a-z]([a-z\\-\\d]*[a-z\\d]+)?(\\.[a-z]([a-z\\-\\d]*[a-z\\d]+)?)*$/" "^\\*\\.[a-z]([a-z\\-\\d]*[a-z\\d]+)?(\\.[a-z]([a-z\\-\\d]*[a-z\\d]+)?)*$" nil nil nil nil "*.a-" nil nil nil) (184 "\"*.a-b.c-\" =~ /^\\*\\.[a-z]([a-z\\-\\d]*[a-z\\d]+)?(\\.[a-z]([a-z\\-\\d]*[a-z\\d]+)?)*$/" "^\\*\\.[a-z]([a-z\\-\\d]*[a-z\\d]+)?(\\.[a-z]([a-z\\-\\d]*[a-z\\d]+)?)*$" nil nil nil nil "*.a-b.c-" nil nil nil) (185 "\"*.c-a.0-c\" =~ /^\\*\\.[a-z]([a-z\\-\\d]*[a-z\\d]+)?(\\.[a-z]([a-z\\-\\d]*[a-z\\d]+)?)*$/" "^\\*\\.[a-z]([a-z\\-\\d]*[a-z\\d]+)?(\\.[a-z]([a-z\\-\\d]*[a-z\\d]+)?)*$" nil nil nil nil "*.c-a.0-c" nil nil nil) (186 "\"abde\" =~ /^(?=ab(de))(abd)(e)/" "^(?=ab(de))(abd)(e)" nil nil nil nil "abde" nil "abde" ("de" "abd" "e" nil nil nil nil nil nil nil nil nil nil nil nil nil)) (187 "\"abdf\" =~ /^(?!(ab)de|x)(abd)(f)/" "^(?!(ab)de|x)(abd)(f)" nil nil nil nil "abdf" nil "abdf" (nil "abd" "f" nil nil nil nil nil nil nil nil nil nil nil nil nil)) (188 "\"abcd\" =~ /^(?=(ab(cd)))(ab)/" "^(?=(ab(cd)))(ab)" nil nil nil nil "abcd" nil "ab" ("abcd" "cd" "ab" nil nil nil nil nil nil nil nil nil nil nil nil nil)) (189 "\"a.b.c.d\" =~ /^[\\da-f](\\.[\\da-f])*$/i" "^[\\da-f](\\.[\\da-f])*$" t nil nil nil "a.b.c.d" nil "a.b.c.d" (".d" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (190 "\"A.B.C.D\" =~ /^[\\da-f](\\.[\\da-f])*$/i" "^[\\da-f](\\.[\\da-f])*$" t nil nil nil "A.B.C.D" nil "A.B.C.D" (".D" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (191 "\"a.b.c.1.2.3.C\" =~ /^[\\da-f](\\.[\\da-f])*$/i" "^[\\da-f](\\.[\\da-f])*$" t nil nil nil "a.b.c.1.2.3.C" nil "a.b.c.1.2.3.C" (".C" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (192 "\"\\\"1234\\\"\" =~ /^\\\".*\\\"\\s*(;.*)?$/" "^\\\".*\\\"\\s*(;.*)?$" nil nil nil nil "\"1234\"" nil "\"1234\"" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (193 "\"\\\"abcd\\\" ;\" =~ /^\\\".*\\\"\\s*(;.*)?$/" "^\\\".*\\\"\\s*(;.*)?$" nil nil nil nil "\"abcd\" ;" nil "\"abcd\" ;" (";" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (194 "\"\\\"\\\" ; rhubarb\" =~ /^\\\".*\\\"\\s*(;.*)?$/" "^\\\".*\\\"\\s*(;.*)?$" nil nil nil nil "\"\" ; rhubarb" nil "\"\" ; rhubarb" ("; rhubarb" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (195 "\"\\\"1234\\\" : things\" =~ /^\\\".*\\\"\\s*(;.*)?$/" "^\\\".*\\\"\\s*(;.*)?$" nil nil nil nil "\"1234\" : things" nil nil nil) (196 "\"\\\" =~ /^$/" "^$" nil nil nil nil "" nil "" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (197 "\"ab c\" =~ / ^ a (?# begins with a) b\\sc (?# then b c) $ (?# then end)/x" " ^ a (?# begins with a) b\\sc (?# then b c) $ (?# then end)" nil nil nil t "ab c" nil "ab c" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (198 "\"abc\" =~ / ^ a (?# begins with a) b\\sc (?# then b c) $ (?# then end)/x" " ^ a (?# begins with a) b\\sc (?# then b c) $ (?# then end)" nil nil nil t "abc" nil nil nil) (199 "\"ab cde\" =~ / ^ a (?# begins with a) b\\sc (?# then b c) $ (?# then end)/x" " ^ a (?# begins with a) b\\sc (?# then b c) $ (?# then end)" nil nil nil t "ab cde" nil nil nil) (200 "\"ab c\" =~ /(?x) ^ a (?# begins with a) b\\sc (?# then b c) $ (?# then end)/" "(?x) ^ a (?# begins with a) b\\sc (?# then b c) $ (?# then end)" nil nil nil nil "ab c" nil "ab c" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (201 "\"abc\" =~ /(?x) ^ a (?# begins with a) b\\sc (?# then b c) $ (?# then end)/" "(?x) ^ a (?# begins with a) b\\sc (?# then b c) $ (?# then end)" nil nil nil nil "abc" nil nil nil) (202 "\"ab cde\" =~ /(?x) ^ a (?# begins with a) b\\sc (?# then b c) $ (?# then end)/" "(?x) ^ a (?# begins with a) b\\sc (?# then b c) $ (?# then end)" nil nil nil nil "ab cde" nil nil nil) (203 "\"a bcd\" =~ /^ a\\ b[c ]d $/x" "^ a\\ b[c ]d $" nil nil nil t "a bcd" nil "a bcd" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (204 "\"a b d\" =~ /^ a\\ b[c ]d $/x" "^ a\\ b[c ]d $" nil nil nil t "a b d" nil "a b d" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (205 "\"abcd\" =~ /^ a\\ b[c ]d $/x" "^ a\\ b[c ]d $" nil nil nil t "abcd" nil nil nil) (206 "\"ab d\" =~ /^ a\\ b[c ]d $/x" "^ a\\ b[c ]d $" nil nil nil t "ab d" nil nil nil) (207 "\"abcdefhijklm\" =~ /^(a(b(c)))(d(e(f)))(h(i(j)))(k(l(m)))$/" "^(a(b(c)))(d(e(f)))(h(i(j)))(k(l(m)))$" nil nil nil nil "abcdefhijklm" nil "abcdefhijklm" ("abc" "bc" "c" "def" "ef" "f" "hij" "ij" "j" "klm" "lm" "m" nil nil nil nil)) (208 "\"abcdefhijklm\" =~ /^(?:a(b(c)))(?:d(e(f)))(?:h(i(j)))(?:k(l(m)))$/" "^(?:a(b(c)))(?:d(e(f)))(?:h(i(j)))(?:k(l(m)))$" nil nil nil nil "abcdefhijklm" nil "abcdefhijklm" ("bc" "c" "ef" "f" "ij" "j" "lm" "m" nil nil nil nil nil nil nil nil)) (209 "\"a+ Z0+\\x08\\n\\x1d\\x12\" =~ /^[\\w][\\W][\\s][\\S][\\d][\\D][\\b][\\n][\\c]][\\022]/" "^[\\w][\\W][\\s][\\S][\\d][\\D][\\b][\\n][\\c]][\\022]" nil nil nil nil ("a+ Z0+" 8 10 29 18) nil ("a+ Z0+" 8 10 29 18) (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (210 "\".^\\$(*+)|{?,?}\" =~ /^[.^$|()*+?{,}]+/" "^[.^$|()*+?{,}]+" nil nil nil nil ".^$(*+)|{?,?}" nil ".^$(*+)|{?,?}" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (211 "\"z\" =~ /^a*\\w/" "^a*\\w" nil nil nil nil "z" nil "z" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (212 "\"az\" =~ /^a*\\w/" "^a*\\w" nil nil nil nil "az" nil "az" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (213 "\"aaaz\" =~ /^a*\\w/" "^a*\\w" nil nil nil nil "aaaz" nil "aaaz" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (214 "\"a\" =~ /^a*\\w/" "^a*\\w" nil nil nil nil "a" nil "a" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (215 "\"aa\" =~ /^a*\\w/" "^a*\\w" nil nil nil nil "aa" nil "aa" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (216 "\"aaaa\" =~ /^a*\\w/" "^a*\\w" nil nil nil nil "aaaa" nil "aaaa" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (217 "\"a+\" =~ /^a*\\w/" "^a*\\w" nil nil nil nil "a+" nil "a" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (218 "\"aa+\" =~ /^a*\\w/" "^a*\\w" nil nil nil nil "aa+" nil "aa" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (219 "\"z\" =~ /^a*?\\w/" "^a*?\\w" nil nil nil nil "z" nil "z" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (220 "\"az\" =~ /^a*?\\w/" "^a*?\\w" nil nil nil nil "az" nil "a" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (221 "\"aaaz\" =~ /^a*?\\w/" "^a*?\\w" nil nil nil nil "aaaz" nil "a" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (222 "\"a\" =~ /^a*?\\w/" "^a*?\\w" nil nil nil nil "a" nil "a" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (223 "\"aa\" =~ /^a*?\\w/" "^a*?\\w" nil nil nil nil "aa" nil "a" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (224 "\"aaaa\" =~ /^a*?\\w/" "^a*?\\w" nil nil nil nil "aaaa" nil "a" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (225 "\"a+\" =~ /^a*?\\w/" "^a*?\\w" nil nil nil nil "a+" nil "a" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (226 "\"aa+\" =~ /^a*?\\w/" "^a*?\\w" nil nil nil nil "aa+" nil "a" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (227 "\"az\" =~ /^a+\\w/" "^a+\\w" nil nil nil nil "az" nil "az" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (228 "\"aaaz\" =~ /^a+\\w/" "^a+\\w" nil nil nil nil "aaaz" nil "aaaz" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (229 "\"aa\" =~ /^a+\\w/" "^a+\\w" nil nil nil nil "aa" nil "aa" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (230 "\"aaaa\" =~ /^a+\\w/" "^a+\\w" nil nil nil nil "aaaa" nil "aaaa" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (231 "\"aa+\" =~ /^a+\\w/" "^a+\\w" nil nil nil nil "aa+" nil "aa" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (232 "\"az\" =~ /^a+?\\w/" "^a+?\\w" nil nil nil nil "az" nil "az" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (233 "\"aaaz\" =~ /^a+?\\w/" "^a+?\\w" nil nil nil nil "aaaz" nil "aa" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (234 "\"aa\" =~ /^a+?\\w/" "^a+?\\w" nil nil nil nil "aa" nil "aa" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (235 "\"aaaa\" =~ /^a+?\\w/" "^a+?\\w" nil nil nil nil "aaaa" nil "aa" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (236 "\"aa+\" =~ /^a+?\\w/" "^a+?\\w" nil nil nil nil "aa+" nil "aa" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (237 "\"1234567890\" =~ /^\\d{8}\\w{2,}/" "^\\d{8}\\w{2,}" nil nil nil nil "1234567890" nil "1234567890" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (238 "\"12345678ab\" =~ /^\\d{8}\\w{2,}/" "^\\d{8}\\w{2,}" nil nil nil nil "12345678ab" nil "12345678ab" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (239 "\"12345678__\" =~ /^\\d{8}\\w{2,}/" "^\\d{8}\\w{2,}" nil nil nil nil "12345678__" nil "12345678__" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (240 "\"1234567\" =~ /^\\d{8}\\w{2,}/" "^\\d{8}\\w{2,}" nil nil nil nil "1234567" nil nil nil) (241 "\"uoie\" =~ /^[aeiou\\d]{4,5}$/" "^[aeiou\\d]{4,5}$" nil nil nil nil "uoie" nil "uoie" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (242 "\"1234\" =~ /^[aeiou\\d]{4,5}$/" "^[aeiou\\d]{4,5}$" nil nil nil nil "1234" nil "1234" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (243 "\"12345\" =~ /^[aeiou\\d]{4,5}$/" "^[aeiou\\d]{4,5}$" nil nil nil nil "12345" nil "12345" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (244 "\"aaaaa\" =~ /^[aeiou\\d]{4,5}$/" "^[aeiou\\d]{4,5}$" nil nil nil nil "aaaaa" nil "aaaaa" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (245 "\"123456\" =~ /^[aeiou\\d]{4,5}$/" "^[aeiou\\d]{4,5}$" nil nil nil nil "123456" nil nil nil) (246 "\"uoie\" =~ /^[aeiou\\d]{4,5}?/" "^[aeiou\\d]{4,5}?" nil nil nil nil "uoie" nil "uoie" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (247 "\"1234\" =~ /^[aeiou\\d]{4,5}?/" "^[aeiou\\d]{4,5}?" nil nil nil nil "1234" nil "1234" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (248 "\"12345\" =~ /^[aeiou\\d]{4,5}?/" "^[aeiou\\d]{4,5}?" nil nil nil nil "12345" nil "1234" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (249 "\"aaaaa\" =~ /^[aeiou\\d]{4,5}?/" "^[aeiou\\d]{4,5}?" nil nil nil nil "aaaaa" nil "aaaa" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (250 "\"123456\" =~ /^[aeiou\\d]{4,5}?/" "^[aeiou\\d]{4,5}?" nil nil nil nil "123456" nil "1234" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (251 "\"abc=abcabc\" =~ /\\A(abc|def)=(\\1){2,3}\\Z/" "\\A(abc|def)=(\\1){2,3}\\Z" nil nil nil nil "abc=abcabc" nil "abc=abcabc" ("abc" "abc" nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (252 "\"def=defdefdef\" =~ /\\A(abc|def)=(\\1){2,3}\\Z/" "\\A(abc|def)=(\\1){2,3}\\Z" nil nil nil nil "def=defdefdef" nil "def=defdefdef" ("def" "def" nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (253 "\"abc=defdef\" =~ /\\A(abc|def)=(\\1){2,3}\\Z/" "\\A(abc|def)=(\\1){2,3}\\Z" nil nil nil nil "abc=defdef" nil nil nil) (254 "\"abcdefghijkcda2\" =~ /^(a)(b)(c)(d)(e)(f)(g)(h)(i)(j)(k)\\11*(\\3\\4)\\1(?#)2$/" "^(a)(b)(c)(d)(e)(f)(g)(h)(i)(j)(k)\\11*(\\3\\4)\\1(?#)2$" nil nil nil nil "abcdefghijkcda2" nil "abcdefghijkcda2" ("a" "b" "c" "d" "e" "f" "g" "h" "i" "j" "k" "cd" nil nil nil nil)) (255 "\"abcdefghijkkkkcda2\" =~ /^(a)(b)(c)(d)(e)(f)(g)(h)(i)(j)(k)\\11*(\\3\\4)\\1(?#)2$/" "^(a)(b)(c)(d)(e)(f)(g)(h)(i)(j)(k)\\11*(\\3\\4)\\1(?#)2$" nil nil nil nil "abcdefghijkkkkcda2" nil "abcdefghijkkkkcda2" ("a" "b" "c" "d" "e" "f" "g" "h" "i" "j" "k" "cd" nil nil nil nil)) (256 "\"cataract cataract23\" =~ /(cat(a(ract|tonic)|erpillar)) \\1()2(3)/" "(cat(a(ract|tonic)|erpillar)) \\1()2(3)" nil nil nil nil "cataract cataract23" nil "cataract cataract23" ("cataract" "aract" "ract" "" "3" nil nil nil nil nil nil nil nil nil nil nil)) (257 "\"catatonic catatonic23\" =~ /(cat(a(ract|tonic)|erpillar)) \\1()2(3)/" "(cat(a(ract|tonic)|erpillar)) \\1()2(3)" nil nil nil nil "catatonic catatonic23" nil "catatonic catatonic23" ("catatonic" "atonic" "tonic" "" "3" nil nil nil nil nil nil nil nil nil nil nil)) (258 "\"caterpillar caterpillar23\" =~ /(cat(a(ract|tonic)|erpillar)) \\1()2(3)/" "(cat(a(ract|tonic)|erpillar)) \\1()2(3)" nil nil nil nil "caterpillar caterpillar23" nil "caterpillar caterpillar23" ("caterpillar" "erpillar" nil "" "3" nil nil nil nil nil nil nil nil nil nil nil)) (259 "\"From abcd Mon Sep 01 12:33:02 1997\" =~ /^From +([^ ]+) +[a-zA-Z][a-zA-Z][a-zA-Z] +[a-zA-Z][a-zA-Z][a-zA-Z] +[0-9]?[0-9] +[0-9][0-9]:[0-9][0-9]/" "^From +([^ ]+) +[a-zA-Z][a-zA-Z][a-zA-Z] +[a-zA-Z][a-zA-Z][a-zA-Z] +[0-9]?[0-9] +[0-9][0-9]:[0-9][0-9]" nil nil nil nil "From abcd Mon Sep 01 12:33:02 1997" nil "From abcd Mon Sep 01 12:33" ("abcd" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (260 "\"From abcd Mon Sep 01 12:33:02 1997\" =~ /^From\\s+\\S+\\s+([a-zA-Z]{3}\\s+){2}\\d{1,2}\\s+\\d\\d:\\d\\d/" "^From\\s+\\S+\\s+([a-zA-Z]{3}\\s+){2}\\d{1,2}\\s+\\d\\d:\\d\\d" nil nil nil nil "From abcd Mon Sep 01 12:33:02 1997" nil "From abcd Mon Sep 01 12:33" ("Sep " nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (261 "\"From abcd Mon Sep 1 12:33:02 1997\" =~ /^From\\s+\\S+\\s+([a-zA-Z]{3}\\s+){2}\\d{1,2}\\s+\\d\\d:\\d\\d/" "^From\\s+\\S+\\s+([a-zA-Z]{3}\\s+){2}\\d{1,2}\\s+\\d\\d:\\d\\d" nil nil nil nil "From abcd Mon Sep 1 12:33:02 1997" nil "From abcd Mon Sep 1 12:33" ("Sep " nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (262 "\"From abcd Sep 01 12:33:02 1997\" =~ /^From\\s+\\S+\\s+([a-zA-Z]{3}\\s+){2}\\d{1,2}\\s+\\d\\d:\\d\\d/" "^From\\s+\\S+\\s+([a-zA-Z]{3}\\s+){2}\\d{1,2}\\s+\\d\\d:\\d\\d" nil nil nil nil "From abcd Sep 01 12:33:02 1997" nil nil nil) (263 "\"12\\n34\" =~ /^12.34/s" "^12.34" nil nil t nil "12 34" nil "12 34" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (264 "\"12\\r34\" =~ /^12.34/s" "^12.34" nil nil t nil ("12" 13 "34") nil ("12" 13 "34") (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (265 "\"the quick brown\\t fox\" =~ /\\w+(?=\\t)/" "\\w+(?=\\t)" nil nil nil nil ("the quick brown" 9 " fox") nil "brown" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (266 "\"foobar is foolish see?\" =~ /foo(?!bar)(.*)/" "foo(?!bar)(.*)" nil nil nil nil "foobar is foolish see?" nil "foolish see?" ("lish see?" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (267 "\"foobar crowbar etc\" =~ /(?:(?!foo)...|^.{0,2})bar(.*)/" "(?:(?!foo)...|^.{0,2})bar(.*)" nil nil nil nil "foobar crowbar etc" nil "rowbar etc" (" etc" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (268 "\"barrel\" =~ /(?:(?!foo)...|^.{0,2})bar(.*)/" "(?:(?!foo)...|^.{0,2})bar(.*)" nil nil nil nil "barrel" nil "barrel" ("rel" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (269 "\"2barrel\" =~ /(?:(?!foo)...|^.{0,2})bar(.*)/" "(?:(?!foo)...|^.{0,2})bar(.*)" nil nil nil nil "2barrel" nil "2barrel" ("rel" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (270 "\"A barrel\" =~ /(?:(?!foo)...|^.{0,2})bar(.*)/" "(?:(?!foo)...|^.{0,2})bar(.*)" nil nil nil nil "A barrel" nil "A barrel" ("rel" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (271 "\"abc456\" =~ /^(\\D*)(?=\\d)(?!123)/" "^(\\D*)(?=\\d)(?!123)" nil nil nil nil "abc456" nil "abc" ("abc" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (272 "\"abc123\" =~ /^(\\D*)(?=\\d)(?!123)/" "^(\\D*)(?=\\d)(?!123)" nil nil nil nil "abc123" nil nil nil) (273 "\"1234\" =~ /^1234(?# test newlines inside)/" "^1234(?# test newlines inside)" nil nil nil nil "1234" nil "1234" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (274 "\"1234\" =~ /^1234 #comment in extended re /x" "^1234 #comment in extended re " nil nil nil t "1234" nil "1234" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (275 "\"abcd\" =~ /#rhubarb abcd/x" "#rhubarb abcd" nil nil nil t "abcd" nil "abcd" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (276 "\"abcd\" =~ /^abcd#rhubarb/x" "^abcd#rhubarb" nil nil nil t "abcd" nil "abcd" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (277 "\"aaab\" =~ /^(a)\\1{2,3}(.)/" "^(a)\\1{2,3}(.)" nil nil nil nil "aaab" nil "aaab" ("a" "b" nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (278 "\"aaaab\" =~ /^(a)\\1{2,3}(.)/" "^(a)\\1{2,3}(.)" nil nil nil nil "aaaab" nil "aaaab" ("a" "b" nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (279 "\"aaaaab\" =~ /^(a)\\1{2,3}(.)/" "^(a)\\1{2,3}(.)" nil nil nil nil "aaaaab" nil "aaaaa" ("a" "a" nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (280 "\"aaaaaab\" =~ /^(a)\\1{2,3}(.)/" "^(a)\\1{2,3}(.)" nil nil nil nil "aaaaaab" nil "aaaaa" ("a" "a" nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (281 "\"the abc\" =~ /(?!^)abc/" "(?!^)abc" nil nil nil nil "the abc" nil "abc" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (282 "\"abc\" =~ /(?!^)abc/" "(?!^)abc" nil nil nil nil "abc" nil nil nil) (283 "\"abc\" =~ /(?=^)abc/" "(?=^)abc" nil nil nil nil "abc" nil "abc" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (284 "\"the abc\" =~ /(?=^)abc/" "(?=^)abc" nil nil nil nil "the abc" nil nil nil) (285 "\"aabbbbb\" =~ /^[ab]{1,3}(ab*|b)/" "^[ab]{1,3}(ab*|b)" nil nil nil nil "aabbbbb" nil "aabb" ("b" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (286 "\"aabbbbb\" =~ /^[ab]{1,3}?(ab*|b)/" "^[ab]{1,3}?(ab*|b)" nil nil nil nil "aabbbbb" nil "aabbbbb" ("abbbbb" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (287 "\"aabbbbb\" =~ /^[ab]{1,3}?(ab*?|b)/" "^[ab]{1,3}?(ab*?|b)" nil nil nil nil "aabbbbb" nil "aa" ("a" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (288 "\"aabbbbb\" =~ /^[ab]{1,3}(ab*?|b)/" "^[ab]{1,3}(ab*?|b)" nil nil nil nil "aabbbbb" nil "aabb" ("b" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (289 "\"Alan Other \" =~ / (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* # optional leading comment (?: (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \" (?: # opening quote... [^\\\\\\x80-\\xff\\n\\015\"] # Anything except backslash and quote | # or \\\\ [^\\x80-\\xff] # Escaped something (something != CR) )* \" # closing quote ) # initial word (?: (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* \\. (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \" (?: # opening quote... [^\\\\\\x80-\\xff\\n\\015\"] # Anything except backslash and quote | # or \\\\ [^\\x80-\\xff] # Escaped something (something != CR) )* \" # closing quote ) )* # further okay, if led by a period (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* @ (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) # initial subdomain (?: # (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* \\. # if led by a period... (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) # ...further okay )* # address | # or (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \" (?: # opening quote... [^\\\\\\x80-\\xff\\n\\015\"] # Anything except backslash and quote | # or \\\\ [^\\x80-\\xff] # Escaped something (something != CR) )* \" # closing quote ) # one word, optionally followed by.... (?: [^()<>@,;:\".\\\\\\[\\]\\x80-\\xff\\000-\\010\\012-\\037] | # atom and space parts, or... \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) | # comments, or... \" (?: # opening quote... [^\\\\\\x80-\\xff\\n\\015\"] # Anything except backslash and quote | # or \\\\ [^\\x80-\\xff] # Escaped something (something != CR) )* \" # closing quote # quoted strings )* < (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* # leading < (?: @ (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) # initial subdomain (?: # (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* \\. # if led by a period... (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) # ...further okay )* (?: (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* , (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* @ (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) # initial subdomain (?: # (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* \\. # if led by a period... (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) # ...further okay )* )* # further okay, if led by comma : # closing colon (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* )? # optional route (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \" (?: # opening quote... [^\\\\\\x80-\\xff\\n\\015\"] # Anything except backslash and quote | # or \\\\ [^\\x80-\\xff] # Escaped something (something != CR) )* \" # closing quote ) # initial word (?: (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* \\. (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \" (?: # opening quote... [^\\\\\\x80-\\xff\\n\\015\"] # Anything except backslash and quote | # or \\\\ [^\\x80-\\xff] # Escaped something (something != CR) )* \" # closing quote ) )* # further okay, if led by a period (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* @ (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) # initial subdomain (?: # (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* \\. # if led by a period... (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) # ...further okay )* # address spec (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* > # trailing > # name and address ) (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* # optional trailing comment /x" " (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* # optional leading comment (?: (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \" (?: # opening quote... [^\\\\\\x80-\\xff\\n\\015\"] # Anything except backslash and quote | # or \\\\ [^\\x80-\\xff] # Escaped something (something != CR) )* \" # closing quote ) # initial word (?: (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* \\. (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \" (?: # opening quote... [^\\\\\\x80-\\xff\\n\\015\"] # Anything except backslash and quote | # or \\\\ [^\\x80-\\xff] # Escaped something (something != CR) )* \" # closing quote ) )* # further okay, if led by a period (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* @ (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) # initial subdomain (?: # (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* \\. # if led by a period... (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) # ...further okay )* # address | # or (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \" (?: # opening quote... [^\\\\\\x80-\\xff\\n\\015\"] # Anything except backslash and quote | # or \\\\ [^\\x80-\\xff] # Escaped something (something != CR) )* \" # closing quote ) # one word, optionally followed by.... (?: [^()<>@,;:\".\\\\\\[\\]\\x80-\\xff\\000-\\010\\012-\\037] | # atom and space parts, or... \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) | # comments, or... \" (?: # opening quote... [^\\\\\\x80-\\xff\\n\\015\"] # Anything except backslash and quote | # or \\\\ [^\\x80-\\xff] # Escaped something (something != CR) )* \" # closing quote # quoted strings )* < (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* # leading < (?: @ (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) # initial subdomain (?: # (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* \\. # if led by a period... (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) # ...further okay )* (?: (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* , (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* @ (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) # initial subdomain (?: # (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* \\. # if led by a period... (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) # ...further okay )* )* # further okay, if led by comma : # closing colon (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* )? # optional route (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \" (?: # opening quote... [^\\\\\\x80-\\xff\\n\\015\"] # Anything except backslash and quote | # or \\\\ [^\\x80-\\xff] # Escaped something (something != CR) )* \" # closing quote ) # initial word (?: (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* \\. (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \" (?: # opening quote... [^\\\\\\x80-\\xff\\n\\015\"] # Anything except backslash and quote | # or \\\\ [^\\x80-\\xff] # Escaped something (something != CR) )* \" # closing quote ) )* # further okay, if led by a period (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* @ (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) # initial subdomain (?: # (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* \\. # if led by a period... (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) # ...further okay )* # address spec (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* > # trailing > # name and address ) (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* # optional trailing comment " nil nil nil t "Alan Other " nil "Alan Other " (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (290 "\"\" =~ / (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* # optional leading comment (?: (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \" (?: # opening quote... [^\\\\\\x80-\\xff\\n\\015\"] # Anything except backslash and quote | # or \\\\ [^\\x80-\\xff] # Escaped something (something != CR) )* \" # closing quote ) # initial word (?: (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* \\. (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \" (?: # opening quote... [^\\\\\\x80-\\xff\\n\\015\"] # Anything except backslash and quote | # or \\\\ [^\\x80-\\xff] # Escaped something (something != CR) )* \" # closing quote ) )* # further okay, if led by a period (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* @ (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) # initial subdomain (?: # (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* \\. # if led by a period... (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) # ...further okay )* # address | # or (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \" (?: # opening quote... [^\\\\\\x80-\\xff\\n\\015\"] # Anything except backslash and quote | # or \\\\ [^\\x80-\\xff] # Escaped something (something != CR) )* \" # closing quote ) # one word, optionally followed by.... (?: [^()<>@,;:\".\\\\\\[\\]\\x80-\\xff\\000-\\010\\012-\\037] | # atom and space parts, or... \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) | # comments, or... \" (?: # opening quote... [^\\\\\\x80-\\xff\\n\\015\"] # Anything except backslash and quote | # or \\\\ [^\\x80-\\xff] # Escaped something (something != CR) )* \" # closing quote # quoted strings )* < (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* # leading < (?: @ (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) # initial subdomain (?: # (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* \\. # if led by a period... (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) # ...further okay )* (?: (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* , (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* @ (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) # initial subdomain (?: # (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* \\. # if led by a period... (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) # ...further okay )* )* # further okay, if led by comma : # closing colon (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* )? # optional route (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \" (?: # opening quote... [^\\\\\\x80-\\xff\\n\\015\"] # Anything except backslash and quote | # or \\\\ [^\\x80-\\xff] # Escaped something (something != CR) )* \" # closing quote ) # initial word (?: (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* \\. (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \" (?: # opening quote... [^\\\\\\x80-\\xff\\n\\015\"] # Anything except backslash and quote | # or \\\\ [^\\x80-\\xff] # Escaped something (something != CR) )* \" # closing quote ) )* # further okay, if led by a period (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* @ (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) # initial subdomain (?: # (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* \\. # if led by a period... (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) # ...further okay )* # address spec (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* > # trailing > # name and address ) (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* # optional trailing comment /x" " (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* # optional leading comment (?: (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \" (?: # opening quote... [^\\\\\\x80-\\xff\\n\\015\"] # Anything except backslash and quote | # or \\\\ [^\\x80-\\xff] # Escaped something (something != CR) )* \" # closing quote ) # initial word (?: (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* \\. (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \" (?: # opening quote... [^\\\\\\x80-\\xff\\n\\015\"] # Anything except backslash and quote | # or \\\\ [^\\x80-\\xff] # Escaped something (something != CR) )* \" # closing quote ) )* # further okay, if led by a period (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* @ (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) # initial subdomain (?: # (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* \\. # if led by a period... (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) # ...further okay )* # address | # or (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \" (?: # opening quote... [^\\\\\\x80-\\xff\\n\\015\"] # Anything except backslash and quote | # or \\\\ [^\\x80-\\xff] # Escaped something (something != CR) )* \" # closing quote ) # one word, optionally followed by.... (?: [^()<>@,;:\".\\\\\\[\\]\\x80-\\xff\\000-\\010\\012-\\037] | # atom and space parts, or... \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) | # comments, or... \" (?: # opening quote... [^\\\\\\x80-\\xff\\n\\015\"] # Anything except backslash and quote | # or \\\\ [^\\x80-\\xff] # Escaped something (something != CR) )* \" # closing quote # quoted strings )* < (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* # leading < (?: @ (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) # initial subdomain (?: # (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* \\. # if led by a period... (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) # ...further okay )* (?: (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* , (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* @ (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) # initial subdomain (?: # (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* \\. # if led by a period... (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) # ...further okay )* )* # further okay, if led by comma : # closing colon (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* )? # optional route (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \" (?: # opening quote... [^\\\\\\x80-\\xff\\n\\015\"] # Anything except backslash and quote | # or \\\\ [^\\x80-\\xff] # Escaped something (something != CR) )* \" # closing quote ) # initial word (?: (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* \\. (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \" (?: # opening quote... [^\\\\\\x80-\\xff\\n\\015\"] # Anything except backslash and quote | # or \\\\ [^\\x80-\\xff] # Escaped something (something != CR) )* \" # closing quote ) )* # further okay, if led by a period (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* @ (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) # initial subdomain (?: # (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* \\. # if led by a period... (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) # ...further okay )* # address spec (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* > # trailing > # name and address ) (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* # optional trailing comment " nil nil nil t "" nil "user@dom.ain" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (291 "\"user\\@dom.ain\" =~ / (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* # optional leading comment (?: (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \" (?: # opening quote... [^\\\\\\x80-\\xff\\n\\015\"] # Anything except backslash and quote | # or \\\\ [^\\x80-\\xff] # Escaped something (something != CR) )* \" # closing quote ) # initial word (?: (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* \\. (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \" (?: # opening quote... [^\\\\\\x80-\\xff\\n\\015\"] # Anything except backslash and quote | # or \\\\ [^\\x80-\\xff] # Escaped something (something != CR) )* \" # closing quote ) )* # further okay, if led by a period (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* @ (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) # initial subdomain (?: # (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* \\. # if led by a period... (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) # ...further okay )* # address | # or (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \" (?: # opening quote... [^\\\\\\x80-\\xff\\n\\015\"] # Anything except backslash and quote | # or \\\\ [^\\x80-\\xff] # Escaped something (something != CR) )* \" # closing quote ) # one word, optionally followed by.... (?: [^()<>@,;:\".\\\\\\[\\]\\x80-\\xff\\000-\\010\\012-\\037] | # atom and space parts, or... \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) | # comments, or... \" (?: # opening quote... [^\\\\\\x80-\\xff\\n\\015\"] # Anything except backslash and quote | # or \\\\ [^\\x80-\\xff] # Escaped something (something != CR) )* \" # closing quote # quoted strings )* < (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* # leading < (?: @ (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) # initial subdomain (?: # (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* \\. # if led by a period... (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) # ...further okay )* (?: (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* , (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* @ (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) # initial subdomain (?: # (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* \\. # if led by a period... (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) # ...further okay )* )* # further okay, if led by comma : # closing colon (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* )? # optional route (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \" (?: # opening quote... [^\\\\\\x80-\\xff\\n\\015\"] # Anything except backslash and quote | # or \\\\ [^\\x80-\\xff] # Escaped something (something != CR) )* \" # closing quote ) # initial word (?: (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* \\. (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \" (?: # opening quote... [^\\\\\\x80-\\xff\\n\\015\"] # Anything except backslash and quote | # or \\\\ [^\\x80-\\xff] # Escaped something (something != CR) )* \" # closing quote ) )* # further okay, if led by a period (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* @ (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) # initial subdomain (?: # (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* \\. # if led by a period... (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) # ...further okay )* # address spec (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* > # trailing > # name and address ) (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* # optional trailing comment /x" " (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* # optional leading comment (?: (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \" (?: # opening quote... [^\\\\\\x80-\\xff\\n\\015\"] # Anything except backslash and quote | # or \\\\ [^\\x80-\\xff] # Escaped something (something != CR) )* \" # closing quote ) # initial word (?: (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* \\. (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \" (?: # opening quote... [^\\\\\\x80-\\xff\\n\\015\"] # Anything except backslash and quote | # or \\\\ [^\\x80-\\xff] # Escaped something (something != CR) )* \" # closing quote ) )* # further okay, if led by a period (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* @ (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) # initial subdomain (?: # (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* \\. # if led by a period... (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) # ...further okay )* # address | # or (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \" (?: # opening quote... [^\\\\\\x80-\\xff\\n\\015\"] # Anything except backslash and quote | # or \\\\ [^\\x80-\\xff] # Escaped something (something != CR) )* \" # closing quote ) # one word, optionally followed by.... (?: [^()<>@,;:\".\\\\\\[\\]\\x80-\\xff\\000-\\010\\012-\\037] | # atom and space parts, or... \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) | # comments, or... \" (?: # opening quote... [^\\\\\\x80-\\xff\\n\\015\"] # Anything except backslash and quote | # or \\\\ [^\\x80-\\xff] # Escaped something (something != CR) )* \" # closing quote # quoted strings )* < (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* # leading < (?: @ (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) # initial subdomain (?: # (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* \\. # if led by a period... (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) # ...further okay )* (?: (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* , (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* @ (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) # initial subdomain (?: # (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* \\. # if led by a period... (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) # ...further okay )* )* # further okay, if led by comma : # closing colon (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* )? # optional route (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \" (?: # opening quote... [^\\\\\\x80-\\xff\\n\\015\"] # Anything except backslash and quote | # or \\\\ [^\\x80-\\xff] # Escaped something (something != CR) )* \" # closing quote ) # initial word (?: (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* \\. (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \" (?: # opening quote... [^\\\\\\x80-\\xff\\n\\015\"] # Anything except backslash and quote | # or \\\\ [^\\x80-\\xff] # Escaped something (something != CR) )* \" # closing quote ) )* # further okay, if led by a period (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* @ (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) # initial subdomain (?: # (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* \\. # if led by a period... (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) # ...further okay )* # address spec (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* > # trailing > # name and address ) (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* # optional trailing comment " nil nil nil t "user@dom.ain" nil "user@dom.ain" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (292 "\"\\\"A. Other\\\" (a comment)\" =~ / (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* # optional leading comment (?: (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \" (?: # opening quote... [^\\\\\\x80-\\xff\\n\\015\"] # Anything except backslash and quote | # or \\\\ [^\\x80-\\xff] # Escaped something (something != CR) )* \" # closing quote ) # initial word (?: (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* \\. (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \" (?: # opening quote... [^\\\\\\x80-\\xff\\n\\015\"] # Anything except backslash and quote | # or \\\\ [^\\x80-\\xff] # Escaped something (something != CR) )* \" # closing quote ) )* # further okay, if led by a period (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* @ (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) # initial subdomain (?: # (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* \\. # if led by a period... (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) # ...further okay )* # address | # or (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \" (?: # opening quote... [^\\\\\\x80-\\xff\\n\\015\"] # Anything except backslash and quote | # or \\\\ [^\\x80-\\xff] # Escaped something (something != CR) )* \" # closing quote ) # one word, optionally followed by.... (?: [^()<>@,;:\".\\\\\\[\\]\\x80-\\xff\\000-\\010\\012-\\037] | # atom and space parts, or... \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) | # comments, or... \" (?: # opening quote... [^\\\\\\x80-\\xff\\n\\015\"] # Anything except backslash and quote | # or \\\\ [^\\x80-\\xff] # Escaped something (something != CR) )* \" # closing quote # quoted strings )* < (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* # leading < (?: @ (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) # initial subdomain (?: # (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* \\. # if led by a period... (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) # ...further okay )* (?: (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* , (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* @ (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) # initial subdomain (?: # (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* \\. # if led by a period... (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) # ...further okay )* )* # further okay, if led by comma : # closing colon (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* )? # optional route (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \" (?: # opening quote... [^\\\\\\x80-\\xff\\n\\015\"] # Anything except backslash and quote | # or \\\\ [^\\x80-\\xff] # Escaped something (something != CR) )* \" # closing quote ) # initial word (?: (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* \\. (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \" (?: # opening quote... [^\\\\\\x80-\\xff\\n\\015\"] # Anything except backslash and quote | # or \\\\ [^\\x80-\\xff] # Escaped something (something != CR) )* \" # closing quote ) )* # further okay, if led by a period (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* @ (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) # initial subdomain (?: # (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* \\. # if led by a period... (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) # ...further okay )* # address spec (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* > # trailing > # name and address ) (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* # optional trailing comment /x" " (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* # optional leading comment (?: (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \" (?: # opening quote... [^\\\\\\x80-\\xff\\n\\015\"] # Anything except backslash and quote | # or \\\\ [^\\x80-\\xff] # Escaped something (something != CR) )* \" # closing quote ) # initial word (?: (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* \\. (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \" (?: # opening quote... [^\\\\\\x80-\\xff\\n\\015\"] # Anything except backslash and quote | # or \\\\ [^\\x80-\\xff] # Escaped something (something != CR) )* \" # closing quote ) )* # further okay, if led by a period (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* @ (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) # initial subdomain (?: # (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* \\. # if led by a period... (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) # ...further okay )* # address | # or (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \" (?: # opening quote... [^\\\\\\x80-\\xff\\n\\015\"] # Anything except backslash and quote | # or \\\\ [^\\x80-\\xff] # Escaped something (something != CR) )* \" # closing quote ) # one word, optionally followed by.... (?: [^()<>@,;:\".\\\\\\[\\]\\x80-\\xff\\000-\\010\\012-\\037] | # atom and space parts, or... \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) | # comments, or... \" (?: # opening quote... [^\\\\\\x80-\\xff\\n\\015\"] # Anything except backslash and quote | # or \\\\ [^\\x80-\\xff] # Escaped something (something != CR) )* \" # closing quote # quoted strings )* < (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* # leading < (?: @ (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) # initial subdomain (?: # (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* \\. # if led by a period... (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) # ...further okay )* (?: (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* , (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* @ (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) # initial subdomain (?: # (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* \\. # if led by a period... (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) # ...further okay )* )* # further okay, if led by comma : # closing colon (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* )? # optional route (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \" (?: # opening quote... [^\\\\\\x80-\\xff\\n\\015\"] # Anything except backslash and quote | # or \\\\ [^\\x80-\\xff] # Escaped something (something != CR) )* \" # closing quote ) # initial word (?: (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* \\. (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \" (?: # opening quote... [^\\\\\\x80-\\xff\\n\\015\"] # Anything except backslash and quote | # or \\\\ [^\\x80-\\xff] # Escaped something (something != CR) )* \" # closing quote ) )* # further okay, if led by a period (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* @ (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) # initial subdomain (?: # (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* \\. # if led by a period... (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) # ...further okay )* # address spec (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* > # trailing > # name and address ) (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* # optional trailing comment " nil nil nil t "\"A. Other\" (a comment)" nil "\"A. Other\" (a comment)" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (293 "\"A. Other (a comment)\" =~ / (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* # optional leading comment (?: (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \" (?: # opening quote... [^\\\\\\x80-\\xff\\n\\015\"] # Anything except backslash and quote | # or \\\\ [^\\x80-\\xff] # Escaped something (something != CR) )* \" # closing quote ) # initial word (?: (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* \\. (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \" (?: # opening quote... [^\\\\\\x80-\\xff\\n\\015\"] # Anything except backslash and quote | # or \\\\ [^\\x80-\\xff] # Escaped something (something != CR) )* \" # closing quote ) )* # further okay, if led by a period (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* @ (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) # initial subdomain (?: # (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* \\. # if led by a period... (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) # ...further okay )* # address | # or (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \" (?: # opening quote... [^\\\\\\x80-\\xff\\n\\015\"] # Anything except backslash and quote | # or \\\\ [^\\x80-\\xff] # Escaped something (something != CR) )* \" # closing quote ) # one word, optionally followed by.... (?: [^()<>@,;:\".\\\\\\[\\]\\x80-\\xff\\000-\\010\\012-\\037] | # atom and space parts, or... \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) | # comments, or... \" (?: # opening quote... [^\\\\\\x80-\\xff\\n\\015\"] # Anything except backslash and quote | # or \\\\ [^\\x80-\\xff] # Escaped something (something != CR) )* \" # closing quote # quoted strings )* < (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* # leading < (?: @ (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) # initial subdomain (?: # (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* \\. # if led by a period... (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) # ...further okay )* (?: (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* , (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* @ (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) # initial subdomain (?: # (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* \\. # if led by a period... (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) # ...further okay )* )* # further okay, if led by comma : # closing colon (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* )? # optional route (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \" (?: # opening quote... [^\\\\\\x80-\\xff\\n\\015\"] # Anything except backslash and quote | # or \\\\ [^\\x80-\\xff] # Escaped something (something != CR) )* \" # closing quote ) # initial word (?: (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* \\. (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \" (?: # opening quote... [^\\\\\\x80-\\xff\\n\\015\"] # Anything except backslash and quote | # or \\\\ [^\\x80-\\xff] # Escaped something (something != CR) )* \" # closing quote ) )* # further okay, if led by a period (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* @ (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) # initial subdomain (?: # (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* \\. # if led by a period... (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) # ...further okay )* # address spec (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* > # trailing > # name and address ) (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* # optional trailing comment /x" " (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* # optional leading comment (?: (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \" (?: # opening quote... [^\\\\\\x80-\\xff\\n\\015\"] # Anything except backslash and quote | # or \\\\ [^\\x80-\\xff] # Escaped something (something != CR) )* \" # closing quote ) # initial word (?: (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* \\. (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \" (?: # opening quote... [^\\\\\\x80-\\xff\\n\\015\"] # Anything except backslash and quote | # or \\\\ [^\\x80-\\xff] # Escaped something (something != CR) )* \" # closing quote ) )* # further okay, if led by a period (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* @ (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) # initial subdomain (?: # (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* \\. # if led by a period... (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) # ...further okay )* # address | # or (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \" (?: # opening quote... [^\\\\\\x80-\\xff\\n\\015\"] # Anything except backslash and quote | # or \\\\ [^\\x80-\\xff] # Escaped something (something != CR) )* \" # closing quote ) # one word, optionally followed by.... (?: [^()<>@,;:\".\\\\\\[\\]\\x80-\\xff\\000-\\010\\012-\\037] | # atom and space parts, or... \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) | # comments, or... \" (?: # opening quote... [^\\\\\\x80-\\xff\\n\\015\"] # Anything except backslash and quote | # or \\\\ [^\\x80-\\xff] # Escaped something (something != CR) )* \" # closing quote # quoted strings )* < (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* # leading < (?: @ (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) # initial subdomain (?: # (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* \\. # if led by a period... (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) # ...further okay )* (?: (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* , (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* @ (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) # initial subdomain (?: # (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* \\. # if led by a period... (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) # ...further okay )* )* # further okay, if led by comma : # closing colon (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* )? # optional route (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \" (?: # opening quote... [^\\\\\\x80-\\xff\\n\\015\"] # Anything except backslash and quote | # or \\\\ [^\\x80-\\xff] # Escaped something (something != CR) )* \" # closing quote ) # initial word (?: (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* \\. (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \" (?: # opening quote... [^\\\\\\x80-\\xff\\n\\015\"] # Anything except backslash and quote | # or \\\\ [^\\x80-\\xff] # Escaped something (something != CR) )* \" # closing quote ) )* # further okay, if led by a period (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* @ (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) # initial subdomain (?: # (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* \\. # if led by a period... (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) # ...further okay )* # address spec (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* > # trailing > # name and address ) (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* # optional trailing comment " nil nil nil t "A. Other (a comment)" nil " Other (a comment)" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (294 "\"\\\"/s=user/ou=host/o=place/prmd=uu.yy/admd= /c=gb/\\\"\\@x400-re.lay\" =~ / (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* # optional leading comment (?: (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \" (?: # opening quote... [^\\\\\\x80-\\xff\\n\\015\"] # Anything except backslash and quote | # or \\\\ [^\\x80-\\xff] # Escaped something (something != CR) )* \" # closing quote ) # initial word (?: (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* \\. (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \" (?: # opening quote... [^\\\\\\x80-\\xff\\n\\015\"] # Anything except backslash and quote | # or \\\\ [^\\x80-\\xff] # Escaped something (something != CR) )* \" # closing quote ) )* # further okay, if led by a period (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* @ (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) # initial subdomain (?: # (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* \\. # if led by a period... (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) # ...further okay )* # address | # or (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \" (?: # opening quote... [^\\\\\\x80-\\xff\\n\\015\"] # Anything except backslash and quote | # or \\\\ [^\\x80-\\xff] # Escaped something (something != CR) )* \" # closing quote ) # one word, optionally followed by.... (?: [^()<>@,;:\".\\\\\\[\\]\\x80-\\xff\\000-\\010\\012-\\037] | # atom and space parts, or... \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) | # comments, or... \" (?: # opening quote... [^\\\\\\x80-\\xff\\n\\015\"] # Anything except backslash and quote | # or \\\\ [^\\x80-\\xff] # Escaped something (something != CR) )* \" # closing quote # quoted strings )* < (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* # leading < (?: @ (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) # initial subdomain (?: # (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* \\. # if led by a period... (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) # ...further okay )* (?: (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* , (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* @ (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) # initial subdomain (?: # (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* \\. # if led by a period... (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) # ...further okay )* )* # further okay, if led by comma : # closing colon (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* )? # optional route (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \" (?: # opening quote... [^\\\\\\x80-\\xff\\n\\015\"] # Anything except backslash and quote | # or \\\\ [^\\x80-\\xff] # Escaped something (something != CR) )* \" # closing quote ) # initial word (?: (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* \\. (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \" (?: # opening quote... [^\\\\\\x80-\\xff\\n\\015\"] # Anything except backslash and quote | # or \\\\ [^\\x80-\\xff] # Escaped something (something != CR) )* \" # closing quote ) )* # further okay, if led by a period (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* @ (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) # initial subdomain (?: # (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* \\. # if led by a period... (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) # ...further okay )* # address spec (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* > # trailing > # name and address ) (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* # optional trailing comment /x" " (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* # optional leading comment (?: (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \" (?: # opening quote... [^\\\\\\x80-\\xff\\n\\015\"] # Anything except backslash and quote | # or \\\\ [^\\x80-\\xff] # Escaped something (something != CR) )* \" # closing quote ) # initial word (?: (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* \\. (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \" (?: # opening quote... [^\\\\\\x80-\\xff\\n\\015\"] # Anything except backslash and quote | # or \\\\ [^\\x80-\\xff] # Escaped something (something != CR) )* \" # closing quote ) )* # further okay, if led by a period (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* @ (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) # initial subdomain (?: # (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* \\. # if led by a period... (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) # ...further okay )* # address | # or (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \" (?: # opening quote... [^\\\\\\x80-\\xff\\n\\015\"] # Anything except backslash and quote | # or \\\\ [^\\x80-\\xff] # Escaped something (something != CR) )* \" # closing quote ) # one word, optionally followed by.... (?: [^()<>@,;:\".\\\\\\[\\]\\x80-\\xff\\000-\\010\\012-\\037] | # atom and space parts, or... \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) | # comments, or... \" (?: # opening quote... [^\\\\\\x80-\\xff\\n\\015\"] # Anything except backslash and quote | # or \\\\ [^\\x80-\\xff] # Escaped something (something != CR) )* \" # closing quote # quoted strings )* < (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* # leading < (?: @ (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) # initial subdomain (?: # (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* \\. # if led by a period... (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) # ...further okay )* (?: (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* , (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* @ (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) # initial subdomain (?: # (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* \\. # if led by a period... (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) # ...further okay )* )* # further okay, if led by comma : # closing colon (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* )? # optional route (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \" (?: # opening quote... [^\\\\\\x80-\\xff\\n\\015\"] # Anything except backslash and quote | # or \\\\ [^\\x80-\\xff] # Escaped something (something != CR) )* \" # closing quote ) # initial word (?: (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* \\. (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \" (?: # opening quote... [^\\\\\\x80-\\xff\\n\\015\"] # Anything except backslash and quote | # or \\\\ [^\\x80-\\xff] # Escaped something (something != CR) )* \" # closing quote ) )* # further okay, if led by a period (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* @ (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) # initial subdomain (?: # (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* \\. # if led by a period... (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) # ...further okay )* # address spec (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* > # trailing > # name and address ) (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* # optional trailing comment " nil nil nil t "\"/s=user/ou=host/o=place/prmd=uu.yy/admd= /c=gb/\"@x400-re.lay" nil "\"/s=user/ou=host/o=place/prmd=uu.yy/admd= /c=gb/\"@x400-re.lay" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (295 "\"A missing angle @,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \" (?: # opening quote... [^\\\\\\x80-\\xff\\n\\015\"] # Anything except backslash and quote | # or \\\\ [^\\x80-\\xff] # Escaped something (something != CR) )* \" # closing quote ) # initial word (?: (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* \\. (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \" (?: # opening quote... [^\\\\\\x80-\\xff\\n\\015\"] # Anything except backslash and quote | # or \\\\ [^\\x80-\\xff] # Escaped something (something != CR) )* \" # closing quote ) )* # further okay, if led by a period (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* @ (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) # initial subdomain (?: # (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* \\. # if led by a period... (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) # ...further okay )* # address | # or (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \" (?: # opening quote... [^\\\\\\x80-\\xff\\n\\015\"] # Anything except backslash and quote | # or \\\\ [^\\x80-\\xff] # Escaped something (something != CR) )* \" # closing quote ) # one word, optionally followed by.... (?: [^()<>@,;:\".\\\\\\[\\]\\x80-\\xff\\000-\\010\\012-\\037] | # atom and space parts, or... \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) | # comments, or... \" (?: # opening quote... [^\\\\\\x80-\\xff\\n\\015\"] # Anything except backslash and quote | # or \\\\ [^\\x80-\\xff] # Escaped something (something != CR) )* \" # closing quote # quoted strings )* < (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* # leading < (?: @ (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) # initial subdomain (?: # (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* \\. # if led by a period... (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) # ...further okay )* (?: (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* , (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* @ (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) # initial subdomain (?: # (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* \\. # if led by a period... (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) # ...further okay )* )* # further okay, if led by comma : # closing colon (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* )? # optional route (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \" (?: # opening quote... [^\\\\\\x80-\\xff\\n\\015\"] # Anything except backslash and quote | # or \\\\ [^\\x80-\\xff] # Escaped something (something != CR) )* \" # closing quote ) # initial word (?: (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* \\. (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \" (?: # opening quote... [^\\\\\\x80-\\xff\\n\\015\"] # Anything except backslash and quote | # or \\\\ [^\\x80-\\xff] # Escaped something (something != CR) )* \" # closing quote ) )* # further okay, if led by a period (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* @ (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) # initial subdomain (?: # (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* \\. # if led by a period... (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) # ...further okay )* # address spec (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* > # trailing > # name and address ) (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* # optional trailing comment /x" " (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* # optional leading comment (?: (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \" (?: # opening quote... [^\\\\\\x80-\\xff\\n\\015\"] # Anything except backslash and quote | # or \\\\ [^\\x80-\\xff] # Escaped something (something != CR) )* \" # closing quote ) # initial word (?: (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* \\. (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \" (?: # opening quote... [^\\\\\\x80-\\xff\\n\\015\"] # Anything except backslash and quote | # or \\\\ [^\\x80-\\xff] # Escaped something (something != CR) )* \" # closing quote ) )* # further okay, if led by a period (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* @ (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) # initial subdomain (?: # (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* \\. # if led by a period... (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) # ...further okay )* # address | # or (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \" (?: # opening quote... [^\\\\\\x80-\\xff\\n\\015\"] # Anything except backslash and quote | # or \\\\ [^\\x80-\\xff] # Escaped something (something != CR) )* \" # closing quote ) # one word, optionally followed by.... (?: [^()<>@,;:\".\\\\\\[\\]\\x80-\\xff\\000-\\010\\012-\\037] | # atom and space parts, or... \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) | # comments, or... \" (?: # opening quote... [^\\\\\\x80-\\xff\\n\\015\"] # Anything except backslash and quote | # or \\\\ [^\\x80-\\xff] # Escaped something (something != CR) )* \" # closing quote # quoted strings )* < (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* # leading < (?: @ (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) # initial subdomain (?: # (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* \\. # if led by a period... (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) # ...further okay )* (?: (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* , (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* @ (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) # initial subdomain (?: # (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* \\. # if led by a period... (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) # ...further okay )* )* # further okay, if led by comma : # closing colon (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* )? # optional route (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \" (?: # opening quote... [^\\\\\\x80-\\xff\\n\\015\"] # Anything except backslash and quote | # or \\\\ [^\\x80-\\xff] # Escaped something (something != CR) )* \" # closing quote ) # initial word (?: (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* \\. (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \" (?: # opening quote... [^\\\\\\x80-\\xff\\n\\015\"] # Anything except backslash and quote | # or \\\\ [^\\x80-\\xff] # Escaped something (something != CR) )* \" # closing quote ) )* # further okay, if led by a period (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* @ (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) # initial subdomain (?: # (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* \\. # if led by a period... (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) # ...further okay )* # address spec (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* > # trailing > # name and address ) (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* # optional trailing comment " nil nil nil t "A missing angle @,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \" (?: # opening quote... [^\\\\\\x80-\\xff\\n\\015\"] # Anything except backslash and quote | # or \\\\ [^\\x80-\\xff] # Escaped something (something != CR) )* \" # closing quote ) # initial word (?: (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* \\. (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \" (?: # opening quote... [^\\\\\\x80-\\xff\\n\\015\"] # Anything except backslash and quote | # or \\\\ [^\\x80-\\xff] # Escaped something (something != CR) )* \" # closing quote ) )* # further okay, if led by a period (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* @ (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) # initial subdomain (?: # (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* \\. # if led by a period... (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) # ...further okay )* # address | # or (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \" (?: # opening quote... [^\\\\\\x80-\\xff\\n\\015\"] # Anything except backslash and quote | # or \\\\ [^\\x80-\\xff] # Escaped something (something != CR) )* \" # closing quote ) # one word, optionally followed by.... (?: [^()<>@,;:\".\\\\\\[\\]\\x80-\\xff\\000-\\010\\012-\\037] | # atom and space parts, or... \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) | # comments, or... \" (?: # opening quote... [^\\\\\\x80-\\xff\\n\\015\"] # Anything except backslash and quote | # or \\\\ [^\\x80-\\xff] # Escaped something (something != CR) )* \" # closing quote # quoted strings )* < (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* # leading < (?: @ (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) # initial subdomain (?: # (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* \\. # if led by a period... (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) # ...further okay )* (?: (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* , (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* @ (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) # initial subdomain (?: # (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* \\. # if led by a period... (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) # ...further okay )* )* # further okay, if led by comma : # closing colon (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* )? # optional route (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \" (?: # opening quote... [^\\\\\\x80-\\xff\\n\\015\"] # Anything except backslash and quote | # or \\\\ [^\\x80-\\xff] # Escaped something (something != CR) )* \" # closing quote ) # initial word (?: (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* \\. (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \" (?: # opening quote... [^\\\\\\x80-\\xff\\n\\015\"] # Anything except backslash and quote | # or \\\\ [^\\x80-\\xff] # Escaped something (something != CR) )* \" # closing quote ) )* # further okay, if led by a period (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* @ (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) # initial subdomain (?: # (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* \\. # if led by a period... (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) # ...further okay )* # address spec (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* > # trailing > # name and address ) (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* # optional trailing comment /x" " (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* # optional leading comment (?: (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \" (?: # opening quote... [^\\\\\\x80-\\xff\\n\\015\"] # Anything except backslash and quote | # or \\\\ [^\\x80-\\xff] # Escaped something (something != CR) )* \" # closing quote ) # initial word (?: (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* \\. (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \" (?: # opening quote... [^\\\\\\x80-\\xff\\n\\015\"] # Anything except backslash and quote | # or \\\\ [^\\x80-\\xff] # Escaped something (something != CR) )* \" # closing quote ) )* # further okay, if led by a period (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* @ (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) # initial subdomain (?: # (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* \\. # if led by a period... (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) # ...further okay )* # address | # or (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \" (?: # opening quote... [^\\\\\\x80-\\xff\\n\\015\"] # Anything except backslash and quote | # or \\\\ [^\\x80-\\xff] # Escaped something (something != CR) )* \" # closing quote ) # one word, optionally followed by.... (?: [^()<>@,;:\".\\\\\\[\\]\\x80-\\xff\\000-\\010\\012-\\037] | # atom and space parts, or... \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) | # comments, or... \" (?: # opening quote... [^\\\\\\x80-\\xff\\n\\015\"] # Anything except backslash and quote | # or \\\\ [^\\x80-\\xff] # Escaped something (something != CR) )* \" # closing quote # quoted strings )* < (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* # leading < (?: @ (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) # initial subdomain (?: # (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* \\. # if led by a period... (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) # ...further okay )* (?: (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* , (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* @ (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) # initial subdomain (?: # (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* \\. # if led by a period... (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) # ...further okay )* )* # further okay, if led by comma : # closing colon (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* )? # optional route (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \" (?: # opening quote... [^\\\\\\x80-\\xff\\n\\015\"] # Anything except backslash and quote | # or \\\\ [^\\x80-\\xff] # Escaped something (something != CR) )* \" # closing quote ) # initial word (?: (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* \\. (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \" (?: # opening quote... [^\\\\\\x80-\\xff\\n\\015\"] # Anything except backslash and quote | # or \\\\ [^\\x80-\\xff] # Escaped something (something != CR) )* \" # closing quote ) )* # further okay, if led by a period (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* @ (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) # initial subdomain (?: # (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* \\. # if led by a period... (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) # ...further okay )* # address spec (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* > # trailing > # name and address ) (?: [\\040\\t] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] | \\( (?: [^\\\\\\x80-\\xff\\n\\015()] | \\\\ [^\\x80-\\xff] )* \\) )* \\) )* # optional trailing comment " nil nil nil t "The quick brown fox" nil nil nil) (297 "\"Alan Other \" =~ /[\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional leading comment (?: (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom # Atom | # or \" # \" [^\\\\\\x80-\\xff\\n\\015\"] * # normal (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015\"] * )* # ( special normal* )* \" # \" # Quoted string ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: \\. [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom # Atom | # or \" # \" [^\\\\\\x80-\\xff\\n\\015\"] * # normal (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015\"] * )* # ( special normal* )* \" # \" # Quoted string ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # additional words )* @ [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments (?: \\. [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments )* # address | # or (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom # Atom | # or \" # \" [^\\\\\\x80-\\xff\\n\\015\"] * # normal (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015\"] * )* # ( special normal* )* \" # \" # Quoted string ) # leading word [^()<>@,;:\".\\\\\\[\\]\\x80-\\xff\\000-\\010\\012-\\037] * # \"normal\" atoms and or spaces (?: (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) | \" # \" [^\\\\\\x80-\\xff\\n\\015\"] * # normal (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015\"] * )* # ( special normal* )* \" # \" ) # \"special\" comment or quoted string [^()<>@,;:\".\\\\\\[\\]\\x80-\\xff\\000-\\010\\012-\\037] * # more \"normal\" )* < [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # < (?: @ [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments (?: \\. [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments )* (?: , [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. @ [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments (?: \\. [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments )* )* # additional domains : [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments )? # optional route (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom # Atom | # or \" # \" [^\\\\\\x80-\\xff\\n\\015\"] * # normal (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015\"] * )* # ( special normal* )* \" # \" # Quoted string ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: \\. [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom # Atom | # or \" # \" [^\\\\\\x80-\\xff\\n\\015\"] * # normal (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015\"] * )* # ( special normal* )* \" # \" # Quoted string ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # additional words )* @ [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments (?: \\. [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments )* # address spec > # > # name and address ) /x" "[\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional leading comment (?: (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom # Atom | # or \" # \" [^\\\\\\x80-\\xff\\n\\015\"] * # normal (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015\"] * )* # ( special normal* )* \" # \" # Quoted string ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: \\. [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom # Atom | # or \" # \" [^\\\\\\x80-\\xff\\n\\015\"] * # normal (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015\"] * )* # ( special normal* )* \" # \" # Quoted string ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # additional words )* @ [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments (?: \\. [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments )* # address | # or (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom # Atom | # or \" # \" [^\\\\\\x80-\\xff\\n\\015\"] * # normal (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015\"] * )* # ( special normal* )* \" # \" # Quoted string ) # leading word [^()<>@,;:\".\\\\\\[\\]\\x80-\\xff\\000-\\010\\012-\\037] * # \"normal\" atoms and or spaces (?: (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) | \" # \" [^\\\\\\x80-\\xff\\n\\015\"] * # normal (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015\"] * )* # ( special normal* )* \" # \" ) # \"special\" comment or quoted string [^()<>@,;:\".\\\\\\[\\]\\x80-\\xff\\000-\\010\\012-\\037] * # more \"normal\" )* < [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # < (?: @ [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments (?: \\. [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments )* (?: , [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. @ [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments (?: \\. [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments )* )* # additional domains : [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments )? # optional route (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom # Atom | # or \" # \" [^\\\\\\x80-\\xff\\n\\015\"] * # normal (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015\"] * )* # ( special normal* )* \" # \" # Quoted string ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: \\. [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom # Atom | # or \" # \" [^\\\\\\x80-\\xff\\n\\015\"] * # normal (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015\"] * )* # ( special normal* )* \" # \" # Quoted string ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # additional words )* @ [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments (?: \\. [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments )* # address spec > # > # name and address ) " nil nil nil t "Alan Other " nil "Alan Other " (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (298 "\"\" =~ /[\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional leading comment (?: (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom # Atom | # or \" # \" [^\\\\\\x80-\\xff\\n\\015\"] * # normal (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015\"] * )* # ( special normal* )* \" # \" # Quoted string ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: \\. [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom # Atom | # or \" # \" [^\\\\\\x80-\\xff\\n\\015\"] * # normal (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015\"] * )* # ( special normal* )* \" # \" # Quoted string ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # additional words )* @ [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments (?: \\. [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments )* # address | # or (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom # Atom | # or \" # \" [^\\\\\\x80-\\xff\\n\\015\"] * # normal (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015\"] * )* # ( special normal* )* \" # \" # Quoted string ) # leading word [^()<>@,;:\".\\\\\\[\\]\\x80-\\xff\\000-\\010\\012-\\037] * # \"normal\" atoms and or spaces (?: (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) | \" # \" [^\\\\\\x80-\\xff\\n\\015\"] * # normal (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015\"] * )* # ( special normal* )* \" # \" ) # \"special\" comment or quoted string [^()<>@,;:\".\\\\\\[\\]\\x80-\\xff\\000-\\010\\012-\\037] * # more \"normal\" )* < [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # < (?: @ [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments (?: \\. [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments )* (?: , [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. @ [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments (?: \\. [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments )* )* # additional domains : [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments )? # optional route (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom # Atom | # or \" # \" [^\\\\\\x80-\\xff\\n\\015\"] * # normal (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015\"] * )* # ( special normal* )* \" # \" # Quoted string ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: \\. [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom # Atom | # or \" # \" [^\\\\\\x80-\\xff\\n\\015\"] * # normal (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015\"] * )* # ( special normal* )* \" # \" # Quoted string ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # additional words )* @ [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments (?: \\. [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments )* # address spec > # > # name and address ) /x" "[\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional leading comment (?: (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom # Atom | # or \" # \" [^\\\\\\x80-\\xff\\n\\015\"] * # normal (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015\"] * )* # ( special normal* )* \" # \" # Quoted string ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: \\. [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom # Atom | # or \" # \" [^\\\\\\x80-\\xff\\n\\015\"] * # normal (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015\"] * )* # ( special normal* )* \" # \" # Quoted string ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # additional words )* @ [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments (?: \\. [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments )* # address | # or (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom # Atom | # or \" # \" [^\\\\\\x80-\\xff\\n\\015\"] * # normal (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015\"] * )* # ( special normal* )* \" # \" # Quoted string ) # leading word [^()<>@,;:\".\\\\\\[\\]\\x80-\\xff\\000-\\010\\012-\\037] * # \"normal\" atoms and or spaces (?: (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) | \" # \" [^\\\\\\x80-\\xff\\n\\015\"] * # normal (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015\"] * )* # ( special normal* )* \" # \" ) # \"special\" comment or quoted string [^()<>@,;:\".\\\\\\[\\]\\x80-\\xff\\000-\\010\\012-\\037] * # more \"normal\" )* < [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # < (?: @ [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments (?: \\. [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments )* (?: , [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. @ [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments (?: \\. [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments )* )* # additional domains : [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments )? # optional route (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom # Atom | # or \" # \" [^\\\\\\x80-\\xff\\n\\015\"] * # normal (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015\"] * )* # ( special normal* )* \" # \" # Quoted string ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: \\. [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom # Atom | # or \" # \" [^\\\\\\x80-\\xff\\n\\015\"] * # normal (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015\"] * )* # ( special normal* )* \" # \" # Quoted string ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # additional words )* @ [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments (?: \\. [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments )* # address spec > # > # name and address ) " nil nil nil t "" nil "user@dom.ain" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (299 "\"user\\@dom.ain\" =~ /[\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional leading comment (?: (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom # Atom | # or \" # \" [^\\\\\\x80-\\xff\\n\\015\"] * # normal (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015\"] * )* # ( special normal* )* \" # \" # Quoted string ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: \\. [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom # Atom | # or \" # \" [^\\\\\\x80-\\xff\\n\\015\"] * # normal (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015\"] * )* # ( special normal* )* \" # \" # Quoted string ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # additional words )* @ [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments (?: \\. [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments )* # address | # or (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom # Atom | # or \" # \" [^\\\\\\x80-\\xff\\n\\015\"] * # normal (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015\"] * )* # ( special normal* )* \" # \" # Quoted string ) # leading word [^()<>@,;:\".\\\\\\[\\]\\x80-\\xff\\000-\\010\\012-\\037] * # \"normal\" atoms and or spaces (?: (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) | \" # \" [^\\\\\\x80-\\xff\\n\\015\"] * # normal (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015\"] * )* # ( special normal* )* \" # \" ) # \"special\" comment or quoted string [^()<>@,;:\".\\\\\\[\\]\\x80-\\xff\\000-\\010\\012-\\037] * # more \"normal\" )* < [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # < (?: @ [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments (?: \\. [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments )* (?: , [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. @ [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments (?: \\. [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments )* )* # additional domains : [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments )? # optional route (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom # Atom | # or \" # \" [^\\\\\\x80-\\xff\\n\\015\"] * # normal (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015\"] * )* # ( special normal* )* \" # \" # Quoted string ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: \\. [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom # Atom | # or \" # \" [^\\\\\\x80-\\xff\\n\\015\"] * # normal (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015\"] * )* # ( special normal* )* \" # \" # Quoted string ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # additional words )* @ [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments (?: \\. [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments )* # address spec > # > # name and address ) /x" "[\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional leading comment (?: (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom # Atom | # or \" # \" [^\\\\\\x80-\\xff\\n\\015\"] * # normal (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015\"] * )* # ( special normal* )* \" # \" # Quoted string ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: \\. [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom # Atom | # or \" # \" [^\\\\\\x80-\\xff\\n\\015\"] * # normal (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015\"] * )* # ( special normal* )* \" # \" # Quoted string ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # additional words )* @ [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments (?: \\. [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments )* # address | # or (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom # Atom | # or \" # \" [^\\\\\\x80-\\xff\\n\\015\"] * # normal (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015\"] * )* # ( special normal* )* \" # \" # Quoted string ) # leading word [^()<>@,;:\".\\\\\\[\\]\\x80-\\xff\\000-\\010\\012-\\037] * # \"normal\" atoms and or spaces (?: (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) | \" # \" [^\\\\\\x80-\\xff\\n\\015\"] * # normal (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015\"] * )* # ( special normal* )* \" # \" ) # \"special\" comment or quoted string [^()<>@,;:\".\\\\\\[\\]\\x80-\\xff\\000-\\010\\012-\\037] * # more \"normal\" )* < [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # < (?: @ [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments (?: \\. [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments )* (?: , [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. @ [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments (?: \\. [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments )* )* # additional domains : [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments )? # optional route (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom # Atom | # or \" # \" [^\\\\\\x80-\\xff\\n\\015\"] * # normal (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015\"] * )* # ( special normal* )* \" # \" # Quoted string ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: \\. [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom # Atom | # or \" # \" [^\\\\\\x80-\\xff\\n\\015\"] * # normal (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015\"] * )* # ( special normal* )* \" # \" # Quoted string ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # additional words )* @ [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments (?: \\. [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments )* # address spec > # > # name and address ) " nil nil nil t "user@dom.ain" nil "user@dom.ain" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (300 "\"\\\"A. Other\\\" (a comment)\" =~ /[\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional leading comment (?: (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom # Atom | # or \" # \" [^\\\\\\x80-\\xff\\n\\015\"] * # normal (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015\"] * )* # ( special normal* )* \" # \" # Quoted string ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: \\. [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom # Atom | # or \" # \" [^\\\\\\x80-\\xff\\n\\015\"] * # normal (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015\"] * )* # ( special normal* )* \" # \" # Quoted string ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # additional words )* @ [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments (?: \\. [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments )* # address | # or (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom # Atom | # or \" # \" [^\\\\\\x80-\\xff\\n\\015\"] * # normal (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015\"] * )* # ( special normal* )* \" # \" # Quoted string ) # leading word [^()<>@,;:\".\\\\\\[\\]\\x80-\\xff\\000-\\010\\012-\\037] * # \"normal\" atoms and or spaces (?: (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) | \" # \" [^\\\\\\x80-\\xff\\n\\015\"] * # normal (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015\"] * )* # ( special normal* )* \" # \" ) # \"special\" comment or quoted string [^()<>@,;:\".\\\\\\[\\]\\x80-\\xff\\000-\\010\\012-\\037] * # more \"normal\" )* < [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # < (?: @ [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments (?: \\. [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments )* (?: , [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. @ [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments (?: \\. [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments )* )* # additional domains : [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments )? # optional route (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom # Atom | # or \" # \" [^\\\\\\x80-\\xff\\n\\015\"] * # normal (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015\"] * )* # ( special normal* )* \" # \" # Quoted string ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: \\. [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom # Atom | # or \" # \" [^\\\\\\x80-\\xff\\n\\015\"] * # normal (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015\"] * )* # ( special normal* )* \" # \" # Quoted string ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # additional words )* @ [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments (?: \\. [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments )* # address spec > # > # name and address ) /x" "[\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional leading comment (?: (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom # Atom | # or \" # \" [^\\\\\\x80-\\xff\\n\\015\"] * # normal (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015\"] * )* # ( special normal* )* \" # \" # Quoted string ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: \\. [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom # Atom | # or \" # \" [^\\\\\\x80-\\xff\\n\\015\"] * # normal (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015\"] * )* # ( special normal* )* \" # \" # Quoted string ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # additional words )* @ [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments (?: \\. [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments )* # address | # or (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom # Atom | # or \" # \" [^\\\\\\x80-\\xff\\n\\015\"] * # normal (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015\"] * )* # ( special normal* )* \" # \" # Quoted string ) # leading word [^()<>@,;:\".\\\\\\[\\]\\x80-\\xff\\000-\\010\\012-\\037] * # \"normal\" atoms and or spaces (?: (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) | \" # \" [^\\\\\\x80-\\xff\\n\\015\"] * # normal (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015\"] * )* # ( special normal* )* \" # \" ) # \"special\" comment or quoted string [^()<>@,;:\".\\\\\\[\\]\\x80-\\xff\\000-\\010\\012-\\037] * # more \"normal\" )* < [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # < (?: @ [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments (?: \\. [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments )* (?: , [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. @ [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments (?: \\. [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments )* )* # additional domains : [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments )? # optional route (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom # Atom | # or \" # \" [^\\\\\\x80-\\xff\\n\\015\"] * # normal (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015\"] * )* # ( special normal* )* \" # \" # Quoted string ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: \\. [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom # Atom | # or \" # \" [^\\\\\\x80-\\xff\\n\\015\"] * # normal (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015\"] * )* # ( special normal* )* \" # \" # Quoted string ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # additional words )* @ [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments (?: \\. [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments )* # address spec > # > # name and address ) " nil nil nil t "\"A. Other\" (a comment)" nil "\"A. Other\" " (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (301 "\"A. Other (a comment)\" =~ /[\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional leading comment (?: (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom # Atom | # or \" # \" [^\\\\\\x80-\\xff\\n\\015\"] * # normal (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015\"] * )* # ( special normal* )* \" # \" # Quoted string ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: \\. [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom # Atom | # or \" # \" [^\\\\\\x80-\\xff\\n\\015\"] * # normal (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015\"] * )* # ( special normal* )* \" # \" # Quoted string ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # additional words )* @ [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments (?: \\. [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments )* # address | # or (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom # Atom | # or \" # \" [^\\\\\\x80-\\xff\\n\\015\"] * # normal (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015\"] * )* # ( special normal* )* \" # \" # Quoted string ) # leading word [^()<>@,;:\".\\\\\\[\\]\\x80-\\xff\\000-\\010\\012-\\037] * # \"normal\" atoms and or spaces (?: (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) | \" # \" [^\\\\\\x80-\\xff\\n\\015\"] * # normal (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015\"] * )* # ( special normal* )* \" # \" ) # \"special\" comment or quoted string [^()<>@,;:\".\\\\\\[\\]\\x80-\\xff\\000-\\010\\012-\\037] * # more \"normal\" )* < [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # < (?: @ [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments (?: \\. [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments )* (?: , [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. @ [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments (?: \\. [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments )* )* # additional domains : [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments )? # optional route (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom # Atom | # or \" # \" [^\\\\\\x80-\\xff\\n\\015\"] * # normal (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015\"] * )* # ( special normal* )* \" # \" # Quoted string ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: \\. [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom # Atom | # or \" # \" [^\\\\\\x80-\\xff\\n\\015\"] * # normal (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015\"] * )* # ( special normal* )* \" # \" # Quoted string ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # additional words )* @ [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments (?: \\. [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments )* # address spec > # > # name and address ) /x" "[\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional leading comment (?: (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom # Atom | # or \" # \" [^\\\\\\x80-\\xff\\n\\015\"] * # normal (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015\"] * )* # ( special normal* )* \" # \" # Quoted string ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: \\. [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom # Atom | # or \" # \" [^\\\\\\x80-\\xff\\n\\015\"] * # normal (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015\"] * )* # ( special normal* )* \" # \" # Quoted string ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # additional words )* @ [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments (?: \\. [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments )* # address | # or (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom # Atom | # or \" # \" [^\\\\\\x80-\\xff\\n\\015\"] * # normal (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015\"] * )* # ( special normal* )* \" # \" # Quoted string ) # leading word [^()<>@,;:\".\\\\\\[\\]\\x80-\\xff\\000-\\010\\012-\\037] * # \"normal\" atoms and or spaces (?: (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) | \" # \" [^\\\\\\x80-\\xff\\n\\015\"] * # normal (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015\"] * )* # ( special normal* )* \" # \" ) # \"special\" comment or quoted string [^()<>@,;:\".\\\\\\[\\]\\x80-\\xff\\000-\\010\\012-\\037] * # more \"normal\" )* < [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # < (?: @ [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments (?: \\. [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments )* (?: , [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. @ [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments (?: \\. [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments )* )* # additional domains : [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments )? # optional route (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom # Atom | # or \" # \" [^\\\\\\x80-\\xff\\n\\015\"] * # normal (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015\"] * )* # ( special normal* )* \" # \" # Quoted string ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: \\. [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom # Atom | # or \" # \" [^\\\\\\x80-\\xff\\n\\015\"] * # normal (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015\"] * )* # ( special normal* )* \" # \" # Quoted string ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # additional words )* @ [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments (?: \\. [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments )* # address spec > # > # name and address ) " nil nil nil t "A. Other (a comment)" nil " Other " (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (302 "\"\\\"/s=user/ou=host/o=place/prmd=uu.yy/admd= /c=gb/\\\"\\@x400-re.lay\" =~ /[\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional leading comment (?: (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom # Atom | # or \" # \" [^\\\\\\x80-\\xff\\n\\015\"] * # normal (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015\"] * )* # ( special normal* )* \" # \" # Quoted string ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: \\. [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom # Atom | # or \" # \" [^\\\\\\x80-\\xff\\n\\015\"] * # normal (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015\"] * )* # ( special normal* )* \" # \" # Quoted string ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # additional words )* @ [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments (?: \\. [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments )* # address | # or (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom # Atom | # or \" # \" [^\\\\\\x80-\\xff\\n\\015\"] * # normal (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015\"] * )* # ( special normal* )* \" # \" # Quoted string ) # leading word [^()<>@,;:\".\\\\\\[\\]\\x80-\\xff\\000-\\010\\012-\\037] * # \"normal\" atoms and or spaces (?: (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) | \" # \" [^\\\\\\x80-\\xff\\n\\015\"] * # normal (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015\"] * )* # ( special normal* )* \" # \" ) # \"special\" comment or quoted string [^()<>@,;:\".\\\\\\[\\]\\x80-\\xff\\000-\\010\\012-\\037] * # more \"normal\" )* < [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # < (?: @ [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments (?: \\. [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments )* (?: , [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. @ [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments (?: \\. [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments )* )* # additional domains : [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments )? # optional route (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom # Atom | # or \" # \" [^\\\\\\x80-\\xff\\n\\015\"] * # normal (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015\"] * )* # ( special normal* )* \" # \" # Quoted string ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: \\. [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom # Atom | # or \" # \" [^\\\\\\x80-\\xff\\n\\015\"] * # normal (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015\"] * )* # ( special normal* )* \" # \" # Quoted string ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # additional words )* @ [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments (?: \\. [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments )* # address spec > # > # name and address ) /x" "[\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional leading comment (?: (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom # Atom | # or \" # \" [^\\\\\\x80-\\xff\\n\\015\"] * # normal (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015\"] * )* # ( special normal* )* \" # \" # Quoted string ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: \\. [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom # Atom | # or \" # \" [^\\\\\\x80-\\xff\\n\\015\"] * # normal (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015\"] * )* # ( special normal* )* \" # \" # Quoted string ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # additional words )* @ [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments (?: \\. [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments )* # address | # or (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom # Atom | # or \" # \" [^\\\\\\x80-\\xff\\n\\015\"] * # normal (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015\"] * )* # ( special normal* )* \" # \" # Quoted string ) # leading word [^()<>@,;:\".\\\\\\[\\]\\x80-\\xff\\000-\\010\\012-\\037] * # \"normal\" atoms and or spaces (?: (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) | \" # \" [^\\\\\\x80-\\xff\\n\\015\"] * # normal (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015\"] * )* # ( special normal* )* \" # \" ) # \"special\" comment or quoted string [^()<>@,;:\".\\\\\\[\\]\\x80-\\xff\\000-\\010\\012-\\037] * # more \"normal\" )* < [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # < (?: @ [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments (?: \\. [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments )* (?: , [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. @ [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments (?: \\. [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments )* )* # additional domains : [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments )? # optional route (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom # Atom | # or \" # \" [^\\\\\\x80-\\xff\\n\\015\"] * # normal (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015\"] * )* # ( special normal* )* \" # \" # Quoted string ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: \\. [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom # Atom | # or \" # \" [^\\\\\\x80-\\xff\\n\\015\"] * # normal (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015\"] * )* # ( special normal* )* \" # \" # Quoted string ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # additional words )* @ [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments (?: \\. [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments )* # address spec > # > # name and address ) " nil nil nil t "\"/s=user/ou=host/o=place/prmd=uu.yy/admd= /c=gb/\"@x400-re.lay" nil "\"/s=user/ou=host/o=place/prmd=uu.yy/admd= /c=gb/\"@x400-re.lay" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (303 "\"A missing angle @,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom # Atom | # or \" # \" [^\\\\\\x80-\\xff\\n\\015\"] * # normal (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015\"] * )* # ( special normal* )* \" # \" # Quoted string ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: \\. [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom # Atom | # or \" # \" [^\\\\\\x80-\\xff\\n\\015\"] * # normal (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015\"] * )* # ( special normal* )* \" # \" # Quoted string ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # additional words )* @ [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments (?: \\. [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments )* # address | # or (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom # Atom | # or \" # \" [^\\\\\\x80-\\xff\\n\\015\"] * # normal (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015\"] * )* # ( special normal* )* \" # \" # Quoted string ) # leading word [^()<>@,;:\".\\\\\\[\\]\\x80-\\xff\\000-\\010\\012-\\037] * # \"normal\" atoms and or spaces (?: (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) | \" # \" [^\\\\\\x80-\\xff\\n\\015\"] * # normal (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015\"] * )* # ( special normal* )* \" # \" ) # \"special\" comment or quoted string [^()<>@,;:\".\\\\\\[\\]\\x80-\\xff\\000-\\010\\012-\\037] * # more \"normal\" )* < [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # < (?: @ [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments (?: \\. [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments )* (?: , [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. @ [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments (?: \\. [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments )* )* # additional domains : [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments )? # optional route (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom # Atom | # or \" # \" [^\\\\\\x80-\\xff\\n\\015\"] * # normal (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015\"] * )* # ( special normal* )* \" # \" # Quoted string ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: \\. [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom # Atom | # or \" # \" [^\\\\\\x80-\\xff\\n\\015\"] * # normal (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015\"] * )* # ( special normal* )* \" # \" # Quoted string ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # additional words )* @ [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments (?: \\. [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments )* # address spec > # > # name and address ) /x" "[\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional leading comment (?: (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom # Atom | # or \" # \" [^\\\\\\x80-\\xff\\n\\015\"] * # normal (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015\"] * )* # ( special normal* )* \" # \" # Quoted string ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: \\. [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom # Atom | # or \" # \" [^\\\\\\x80-\\xff\\n\\015\"] * # normal (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015\"] * )* # ( special normal* )* \" # \" # Quoted string ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # additional words )* @ [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments (?: \\. [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments )* # address | # or (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom # Atom | # or \" # \" [^\\\\\\x80-\\xff\\n\\015\"] * # normal (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015\"] * )* # ( special normal* )* \" # \" # Quoted string ) # leading word [^()<>@,;:\".\\\\\\[\\]\\x80-\\xff\\000-\\010\\012-\\037] * # \"normal\" atoms and or spaces (?: (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) | \" # \" [^\\\\\\x80-\\xff\\n\\015\"] * # normal (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015\"] * )* # ( special normal* )* \" # \" ) # \"special\" comment or quoted string [^()<>@,;:\".\\\\\\[\\]\\x80-\\xff\\000-\\010\\012-\\037] * # more \"normal\" )* < [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # < (?: @ [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments (?: \\. [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments )* (?: , [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. @ [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments (?: \\. [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments )* )* # additional domains : [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments )? # optional route (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom # Atom | # or \" # \" [^\\\\\\x80-\\xff\\n\\015\"] * # normal (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015\"] * )* # ( special normal* )* \" # \" # Quoted string ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: \\. [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom # Atom | # or \" # \" [^\\\\\\x80-\\xff\\n\\015\"] * # normal (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015\"] * )* # ( special normal* )* \" # \" # Quoted string ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # additional words )* @ [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments (?: \\. [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments )* # address spec > # > # name and address ) " nil nil nil t "A missing angle @,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom # Atom | # or \" # \" [^\\\\\\x80-\\xff\\n\\015\"] * # normal (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015\"] * )* # ( special normal* )* \" # \" # Quoted string ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: \\. [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom # Atom | # or \" # \" [^\\\\\\x80-\\xff\\n\\015\"] * # normal (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015\"] * )* # ( special normal* )* \" # \" # Quoted string ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # additional words )* @ [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments (?: \\. [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments )* # address | # or (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom # Atom | # or \" # \" [^\\\\\\x80-\\xff\\n\\015\"] * # normal (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015\"] * )* # ( special normal* )* \" # \" # Quoted string ) # leading word [^()<>@,;:\".\\\\\\[\\]\\x80-\\xff\\000-\\010\\012-\\037] * # \"normal\" atoms and or spaces (?: (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) | \" # \" [^\\\\\\x80-\\xff\\n\\015\"] * # normal (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015\"] * )* # ( special normal* )* \" # \" ) # \"special\" comment or quoted string [^()<>@,;:\".\\\\\\[\\]\\x80-\\xff\\000-\\010\\012-\\037] * # more \"normal\" )* < [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # < (?: @ [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments (?: \\. [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments )* (?: , [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. @ [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments (?: \\. [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments )* )* # additional domains : [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments )? # optional route (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom # Atom | # or \" # \" [^\\\\\\x80-\\xff\\n\\015\"] * # normal (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015\"] * )* # ( special normal* )* \" # \" # Quoted string ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: \\. [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom # Atom | # or \" # \" [^\\\\\\x80-\\xff\\n\\015\"] * # normal (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015\"] * )* # ( special normal* )* \" # \" # Quoted string ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # additional words )* @ [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments (?: \\. [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments )* # address spec > # > # name and address ) /x" "[\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional leading comment (?: (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom # Atom | # or \" # \" [^\\\\\\x80-\\xff\\n\\015\"] * # normal (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015\"] * )* # ( special normal* )* \" # \" # Quoted string ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: \\. [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom # Atom | # or \" # \" [^\\\\\\x80-\\xff\\n\\015\"] * # normal (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015\"] * )* # ( special normal* )* \" # \" # Quoted string ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # additional words )* @ [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments (?: \\. [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments )* # address | # or (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom # Atom | # or \" # \" [^\\\\\\x80-\\xff\\n\\015\"] * # normal (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015\"] * )* # ( special normal* )* \" # \" # Quoted string ) # leading word [^()<>@,;:\".\\\\\\[\\]\\x80-\\xff\\000-\\010\\012-\\037] * # \"normal\" atoms and or spaces (?: (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) | \" # \" [^\\\\\\x80-\\xff\\n\\015\"] * # normal (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015\"] * )* # ( special normal* )* \" # \" ) # \"special\" comment or quoted string [^()<>@,;:\".\\\\\\[\\]\\x80-\\xff\\000-\\010\\012-\\037] * # more \"normal\" )* < [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # < (?: @ [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments (?: \\. [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments )* (?: , [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. @ [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments (?: \\. [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments )* )* # additional domains : [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments )? # optional route (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom # Atom | # or \" # \" [^\\\\\\x80-\\xff\\n\\015\"] * # normal (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015\"] * )* # ( special normal* )* \" # \" # Quoted string ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: \\. [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom # Atom | # or \" # \" [^\\\\\\x80-\\xff\\n\\015\"] * # normal (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015\"] * )* # ( special normal* )* \" # \" # Quoted string ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # additional words )* @ [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments (?: \\. [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. (?: [^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]+ # some number of atom characters... (?![^(\\040)<>@,;:\".\\\\\\[\\]\\000-\\037\\x80-\\xff]) # ..not followed by something that could be part of an atom | \\[ # [ (?: [^\\\\\\x80-\\xff\\n\\015\\[\\]] | \\\\ [^\\x80-\\xff] )* # stuff \\] # ] ) [\\040\\t]* # Nab whitespace. (?: \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: # ( (?: \\\\ [^\\x80-\\xff] | \\( # ( [^\\\\\\x80-\\xff\\n\\015()] * # normal* (?: \\\\ [^\\x80-\\xff] [^\\\\\\x80-\\xff\\n\\015()] * )* # (special normal*)* \\) # ) ) # special [^\\\\\\x80-\\xff\\n\\015()] * # normal* )* # )* \\) # ) [\\040\\t]* )* # If comment found, allow more spaces. # optional trailing comments )* # address spec > # > # name and address ) " nil nil nil t "The quick brown fox" nil nil nil) (305 "\"abc\\0def\\00pqr\\000xyz\\0000AB\" =~ /abc\\0def\\00pqr\\000xyz\\0000AB/" "abc\\0def\\00pqr\\000xyz\\0000AB" nil nil nil nil ("abc" 0 "def" 0 "pqr" 0 "xyz" 0 "0AB") nil ("abc" 0 "def" 0 "pqr" 0 "xyz" 0 "0AB") (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (306 "\"abc456 abc\\0def\\00pqr\\000xyz\\0000ABCDE\" =~ /abc\\0def\\00pqr\\000xyz\\0000AB/" "abc\\0def\\00pqr\\000xyz\\0000AB" nil nil nil nil ("abc456 abc" 0 "def" 0 "pqr" 0 "xyz" 0 "0ABCDE") nil ("abc" 0 "def" 0 "pqr" 0 "xyz" 0 "0AB") (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (307 "\"abc\\x0def\\x00pqr\\x000xyz\\x0000AB\" =~ /abc\\x0def\\x00pqr\\x000xyz\\x0000AB/" "abc\\x0def\\x00pqr\\x000xyz\\x0000AB" nil nil nil nil ("abc" 13 "ef" 0 "pqr" 0 "0xyz" 0 "00AB") nil ("abc" 13 "ef" 0 "pqr" 0 "0xyz" 0 "00AB") (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (308 "\"abc456 abc\\x0def\\x00pqr\\x000xyz\\x0000ABCDE\" =~ /abc\\x0def\\x00pqr\\x000xyz\\x0000AB/" "abc\\x0def\\x00pqr\\x000xyz\\x0000AB" nil nil nil nil ("abc456 abc" 13 "ef" 0 "pqr" 0 "0xyz" 0 "00ABCDE") nil ("abc" 13 "ef" 0 "pqr" 0 "0xyz" 0 "00AB") (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (309 "\"\\0A\" =~ /^[\\000-\\037]/" "^[\\000-\\037]" nil nil nil nil ("" 0 "A") nil ("" 0) (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (310 "\"\\01B\" =~ /^[\\000-\\037]/" "^[\\000-\\037]" nil nil nil nil ("" 1 "B") nil ("" 1) (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (311 "\"\\037C\" =~ /^[\\000-\\037]/" "^[\\000-\\037]" nil nil nil nil ("" 31 "C") nil ("" 31) (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (312 "\"\\0\\0\\0\\0\" =~ /\\0*/" "\\0*" nil nil nil nil ("" 0 0 0 0) nil ("" 0 0 0 0) (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (313 "\"The A\\x0\\x0Z\" =~ /A\\x0{2,3}Z/" "A\\x0{2,3}Z" nil nil nil nil ("The A" 0 0 "Z") nil ("A" 0 0 "Z") (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (314 "\"An A\\0\\x0\\0Z\" =~ /A\\x0{2,3}Z/" "A\\x0{2,3}Z" nil nil nil nil ("An A" 0 0 0 "Z") nil ("A" 0 0 0 "Z") (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (315 "\"A\\0Z\" =~ /A\\x0{2,3}Z/" "A\\x0{2,3}Z" nil nil nil nil ("A" 0 "Z") nil nil nil) (316 "\"A\\0\\x0\\0\\x0Z\" =~ /A\\x0{2,3}Z/" "A\\x0{2,3}Z" nil nil nil nil ("A" 0 0 0 0 "Z") nil nil nil) (317 "\"cowcowbell\" =~ /^(cow|)\\1(bell)/" "^(cow|)\\1(bell)" nil nil nil nil "cowcowbell" nil "cowcowbell" ("cow" "bell" nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (318 "\"bell\" =~ /^(cow|)\\1(bell)/" "^(cow|)\\1(bell)" nil nil nil nil "bell" nil "bell" ("" "bell" nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (319 "\"cowbell\" =~ /^(cow|)\\1(bell)/" "^(cow|)\\1(bell)" nil nil nil nil "cowbell" nil nil nil) (320 "\"\\040abc\" =~ /^\\s/" "^\\s" nil nil nil nil " abc" nil " " (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (321 "\"\\x0cabc\" =~ /^\\s/" "^\\s" nil nil nil nil ("" 12 "abc") nil ("" 12) (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (322 "\"\\nabc\" =~ /^\\s/" "^\\s" nil nil nil nil " abc" nil " " (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (323 "\"\\rabc\" =~ /^\\s/" "^\\s" nil nil nil nil ("" 13 "abc") nil ("" 13) (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (324 "\"\\tabc\" =~ /^\\s/" "^\\s" nil nil nil nil ("" 9 "abc") nil ("" 9) (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (325 "\"abc\" =~ /^\\s/" "^\\s" nil nil nil nil "abc" nil nil nil) (326 ("\"abc\" =~ /^a" 9 "b" 10 " " 13 " " 12 " c/x") "^a b c" nil nil nil t "abc" nil "abc" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (327 "\"ab\" =~ /^(a|)\\1*b/" "^(a|)\\1*b" nil nil nil nil "ab" nil "ab" ("a" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (328 "\"aaaab\" =~ /^(a|)\\1*b/" "^(a|)\\1*b" nil nil nil nil "aaaab" nil "aaaab" ("a" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (329 "\"b\" =~ /^(a|)\\1*b/" "^(a|)\\1*b" nil nil nil nil "b" nil "b" ("" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (330 "\"acb\" =~ /^(a|)\\1*b/" "^(a|)\\1*b" nil nil nil nil "acb" nil nil nil) (331 "\"aab\" =~ /^(a|)\\1+b/" "^(a|)\\1+b" nil nil nil nil "aab" nil "aab" ("a" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (332 "\"aaaab\" =~ /^(a|)\\1+b/" "^(a|)\\1+b" nil nil nil nil "aaaab" nil "aaaab" ("a" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (333 "\"b\" =~ /^(a|)\\1+b/" "^(a|)\\1+b" nil nil nil nil "b" nil "b" ("" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (334 "\"ab\" =~ /^(a|)\\1+b/" "^(a|)\\1+b" nil nil nil nil "ab" nil nil nil) (335 "\"ab\" =~ /^(a|)\\1?b/" "^(a|)\\1?b" nil nil nil nil "ab" nil "ab" ("a" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (336 "\"aab\" =~ /^(a|)\\1?b/" "^(a|)\\1?b" nil nil nil nil "aab" nil "aab" ("a" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (337 "\"b\" =~ /^(a|)\\1?b/" "^(a|)\\1?b" nil nil nil nil "b" nil "b" ("" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (338 "\"acb\" =~ /^(a|)\\1?b/" "^(a|)\\1?b" nil nil nil nil "acb" nil nil nil) (339 "\"aaab\" =~ /^(a|)\\1{2}b/" "^(a|)\\1{2}b" nil nil nil nil "aaab" nil "aaab" ("a" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (340 "\"b\" =~ /^(a|)\\1{2}b/" "^(a|)\\1{2}b" nil nil nil nil "b" nil "b" ("" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (341 "\"ab\" =~ /^(a|)\\1{2}b/" "^(a|)\\1{2}b" nil nil nil nil "ab" nil nil nil) (342 "\"aab\" =~ /^(a|)\\1{2}b/" "^(a|)\\1{2}b" nil nil nil nil "aab" nil nil nil) (343 "\"aaaab\" =~ /^(a|)\\1{2}b/" "^(a|)\\1{2}b" nil nil nil nil "aaaab" nil nil nil) (344 "\"aaab\" =~ /^(a|)\\1{2,3}b/" "^(a|)\\1{2,3}b" nil nil nil nil "aaab" nil "aaab" ("a" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (345 "\"aaaab\" =~ /^(a|)\\1{2,3}b/" "^(a|)\\1{2,3}b" nil nil nil nil "aaaab" nil "aaaab" ("a" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (346 "\"b\" =~ /^(a|)\\1{2,3}b/" "^(a|)\\1{2,3}b" nil nil nil nil "b" nil "b" ("" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (347 "\"ab\" =~ /^(a|)\\1{2,3}b/" "^(a|)\\1{2,3}b" nil nil nil nil "ab" nil nil nil) (348 "\"aab\" =~ /^(a|)\\1{2,3}b/" "^(a|)\\1{2,3}b" nil nil nil nil "aab" nil nil nil) (349 "\"aaaaab\" =~ /^(a|)\\1{2,3}b/" "^(a|)\\1{2,3}b" nil nil nil nil "aaaaab" nil nil nil) (350 "\"abbbbc\" =~ /ab{1,3}bc/" "ab{1,3}bc" nil nil nil nil "abbbbc" nil "abbbbc" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (351 "\"abbbc\" =~ /ab{1,3}bc/" "ab{1,3}bc" nil nil nil nil "abbbc" nil "abbbc" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (352 "\"abbc\" =~ /ab{1,3}bc/" "ab{1,3}bc" nil nil nil nil "abbc" nil "abbc" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (353 "\"abc\" =~ /ab{1,3}bc/" "ab{1,3}bc" nil nil nil nil "abc" nil nil nil) (354 "\"abbbbbc\" =~ /ab{1,3}bc/" "ab{1,3}bc" nil nil nil nil "abbbbbc" nil nil nil) (355 "\"track1.title:TBlah blah blah\" =~ /([^.]*)\\.([^:]*):[T ]+(.*)/" "([^.]*)\\.([^:]*):[T ]+(.*)" nil nil nil nil "track1.title:TBlah blah blah" nil "track1.title:TBlah blah blah" ("track1" "title" "Blah blah blah" nil nil nil nil nil nil nil nil nil nil nil nil nil)) (356 "\"track1.title:TBlah blah blah\" =~ /([^.]*)\\.([^:]*):[T ]+(.*)/i" "([^.]*)\\.([^:]*):[T ]+(.*)" t nil nil nil "track1.title:TBlah blah blah" nil "track1.title:TBlah blah blah" ("track1" "title" "Blah blah blah" nil nil nil nil nil nil nil nil nil nil nil nil nil)) (357 "\"track1.title:TBlah blah blah\" =~ /([^.]*)\\.([^:]*):[t ]+(.*)/i" "([^.]*)\\.([^:]*):[t ]+(.*)" t nil nil nil "track1.title:TBlah blah blah" nil "track1.title:TBlah blah blah" ("track1" "title" "Blah blah blah" nil nil nil nil nil nil nil nil nil nil nil nil nil)) (358 "\"WXY_^abc\" =~ /^[W-c]+$/" "^[W-c]+$" nil nil nil nil "WXY_^abc" nil "WXY_^abc" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (359 "\"wxy\" =~ /^[W-c]+$/" "^[W-c]+$" nil nil nil nil "wxy" nil nil nil) (360 "\"WXY_^abc\" =~ /^[W-c]+$/i" "^[W-c]+$" t nil nil nil "WXY_^abc" nil "WXY_^abc" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (361 "\"wxy_^ABC\" =~ /^[W-c]+$/i" "^[W-c]+$" t nil nil nil "wxy_^ABC" nil "wxy_^ABC" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (362 "\"WXY_^abc\" =~ /^[\\x3f-\\x5F]+$/i" "^[\\x3f-\\x5F]+$" t nil nil nil "WXY_^abc" nil "WXY_^abc" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (363 "\"wxy_^ABC\" =~ /^[\\x3f-\\x5F]+$/i" "^[\\x3f-\\x5F]+$" t nil nil nil "wxy_^ABC" nil "wxy_^ABC" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (364 "\"abc\" =~ /^abc$/m" "^abc$" nil t nil nil "abc" nil "abc" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (365 "\"qqq\\nabc\" =~ /^abc$/m" "^abc$" nil t nil nil "qqq abc" nil "abc" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (366 "\"abc\\nzzz\" =~ /^abc$/m" "^abc$" nil t nil nil "abc zzz" nil "abc" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (367 "\"qqq\\nabc\\nzzz\" =~ /^abc$/m" "^abc$" nil t nil nil "qqq abc zzz" nil "abc" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (368 "\"abc\" =~ /^abc$/" "^abc$" nil nil nil nil "abc" nil "abc" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (369 "\"qqq\\nabc\" =~ /^abc$/" "^abc$" nil nil nil nil "qqq abc" nil nil nil) (370 "\"abc\\nzzz\" =~ /^abc$/" "^abc$" nil nil nil nil "abc zzz" nil nil nil) (371 "\"qqq\\nabc\\nzzz\" =~ /^abc$/" "^abc$" nil nil nil nil "qqq abc zzz" nil nil nil) (372 "\"abc\" =~ /\\Aabc\\Z/m" "\\Aabc\\Z" nil t nil nil "abc" nil "abc" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (373 "\"abc\\n\" =~ /\\Aabc\\Z/m" "\\Aabc\\Z" nil t nil nil "abc " nil "abc" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (374 "\"qqq\\nabc\" =~ /\\Aabc\\Z/m" "\\Aabc\\Z" nil t nil nil "qqq abc" nil nil nil) (375 "\"abc\\nzzz\" =~ /\\Aabc\\Z/m" "\\Aabc\\Z" nil t nil nil "abc zzz" nil nil nil) (376 "\"qqq\\nabc\\nzzz\" =~ /\\Aabc\\Z/m" "\\Aabc\\Z" nil t nil nil "qqq abc zzz" nil nil nil) (377 "\"abc\\ndef\" =~ /\\A(.)*\\Z/s" "\\A(.)*\\Z" nil nil t nil "abc def" nil "abc def" ("f" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (378 "\"abc\\ndef\" =~ /\\A(.)*\\Z/m" "\\A(.)*\\Z" nil t nil nil "abc def" nil nil nil) (379 "\"b::c\" =~ /(?:b)|(?::+)/" "(?:b)|(?::+)" nil nil nil nil "b::c" nil "b" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (380 "\"c::b\" =~ /(?:b)|(?::+)/" "(?:b)|(?::+)" nil nil nil nil "c::b" nil "::" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (381 "\"az-\" =~ /[-az]+/" "[-az]+" nil nil nil nil "az-" nil "az-" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (382 "\"b\" =~ /[-az]+/" "[-az]+" nil nil nil nil "b" nil nil nil) (383 "\"za-\" =~ /[az-]+/" "[az-]+" nil nil nil nil "za-" nil "za-" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (384 "\"b\" =~ /[az-]+/" "[az-]+" nil nil nil nil "b" nil nil nil) (385 "\"a-z\" =~ /[a\\-z]+/" "[a\\-z]+" nil nil nil nil "a-z" nil "a-z" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (386 "\"b\" =~ /[a\\-z]+/" "[a\\-z]+" nil nil nil nil "b" nil nil nil) (387 "\"abcdxyz\" =~ /[a-z]+/" "[a-z]+" nil nil nil nil "abcdxyz" nil "abcdxyz" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (388 "\"12-34\" =~ /[\\d-]+/" "[\\d-]+" nil nil nil nil "12-34" nil "12-34" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (389 "\"aaa\" =~ /[\\d-]+/" "[\\d-]+" nil nil nil nil "aaa" nil nil nil) (390 "\"12-34z\" =~ /[\\d-z]+/" "[\\d-z]+" nil nil nil nil "12-34z" nil "12-34z" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (391 "\"aaa\" =~ /[\\d-z]+/" "[\\d-z]+" nil nil nil nil "aaa" nil nil nil) (392 "\"\\\\\" =~ /\\x5c/" "\\x5c" nil nil nil nil "\\" nil "\\" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (393 "\"the Zoo\" =~ /\\x20Z/" "\\x20Z" nil nil nil nil "the Zoo" nil " Z" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (394 "\"Zulu\" =~ /\\x20Z/" "\\x20Z" nil nil nil nil "Zulu" nil nil nil) (395 "\"abcabc\" =~ /(abc)\\1/i" "(abc)\\1" t nil nil nil "abcabc" nil "abcabc" ("abc" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (396 "\"ABCabc\" =~ /(abc)\\1/i" "(abc)\\1" t nil nil nil "ABCabc" nil "ABCabc" ("ABC" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (397 "\"abcABC\" =~ /(abc)\\1/i" "(abc)\\1" t nil nil nil "abcABC" nil "abcABC" ("abc" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (398 "\"ab{3cd\" =~ /ab{3cd/" "ab{3cd" nil nil nil nil "ab{3cd" nil "ab{3cd" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (399 "\"ab{3,cd\" =~ /ab{3,cd/" "ab{3,cd" nil nil nil nil "ab{3,cd" nil "ab{3,cd" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (400 "\"ab{3,4a}cd\" =~ /ab{3,4a}cd/" "ab{3,4a}cd" nil nil nil nil "ab{3,4a}cd" nil "ab{3,4a}cd" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (401 "\"{4,5a}bc\" =~ /{4,5a}bc/" "{4,5a}bc" nil nil nil nil "{4,5a}bc" nil "{4,5a}bc" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (402 "\"a\\rb\" =~ /^a.b/" "^a.b" nil nil nil nil ("a" 13 "b") nil ("a" 13 "b") (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (403 "\"a\\nb\" =~ /^a.b/" "^a.b" nil nil nil nil "a b" nil nil nil) (404 "\"abc\" =~ /abc$/" "abc$" nil nil nil nil "abc" nil "abc" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (405 "\"abc\\n\" =~ /abc$/" "abc$" nil nil nil nil "abc " nil "abc" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (406 "\"abc\\ndef\" =~ /abc$/" "abc$" nil nil nil nil "abc def" nil nil nil) (407 "\"abc\\x53\" =~ /(abc)\\123/" "(abc)\\123" nil nil nil nil "abcS" nil "abcS" ("abc" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (408 "\"abc\\x93\" =~ /(abc)\\223/" "(abc)\\223" nil nil nil nil ("abc" 147) nil ("abc" 147) ("abc" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (409 "\"abc\\xd3\" =~ /(abc)\\323/" "(abc)\\323" nil nil nil nil ("abc" 211) nil ("abc" 211) ("abc" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (410 "\"abc\\x40\" =~ /(abc)\\500/" "(abc)\\500" nil nil nil nil "abc@" nil "abc@" ("abc" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (411 "\"abc\\100\" =~ /(abc)\\500/" "(abc)\\500" nil nil nil nil "abc@" nil "abc@" ("abc" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (412 "\"abc\\x400\" =~ /(abc)\\5000/" "(abc)\\5000" nil nil nil nil "abc@0" nil "abc@0" ("abc" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (413 "\"abc\\x40\\x30\" =~ /(abc)\\5000/" "(abc)\\5000" nil nil nil nil "abc@0" nil "abc@0" ("abc" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (414 "\"abc\\1000\" =~ /(abc)\\5000/" "(abc)\\5000" nil nil nil nil "abc@0" nil "abc@0" ("abc" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (415 "\"abc\\100\\x30\" =~ /(abc)\\5000/" "(abc)\\5000" nil nil nil nil "abc@0" nil "abc@0" ("abc" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (416 "\"abc\\100\\060\" =~ /(abc)\\5000/" "(abc)\\5000" nil nil nil nil "abc@0" nil "abc@0" ("abc" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (417 "\"abc\\100\\60\" =~ /(abc)\\5000/" "(abc)\\5000" nil nil nil nil "abc@0" nil "abc@0" ("abc" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (418 "\"abc\\081\" =~ /abc\\81/" "abc\\81" nil nil nil nil ("abc" 0 "81") nil ("abc" 0 "81") (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (419 "\"abc\\0\\x38\\x31\" =~ /abc\\81/" "abc\\81" nil nil nil nil ("abc" 0 "81") nil ("abc" 0 "81") (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (420 "\"abc\\091\" =~ /abc\\91/" "abc\\91" nil nil nil nil ("abc" 0 "91") nil ("abc" 0 "91") (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (421 "\"abc\\0\\x39\\x31\" =~ /abc\\91/" "abc\\91" nil nil nil nil ("abc" 0 "91") nil ("abc" 0 "91") (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (422 "\"abcdefghijkllS\" =~ /(a)(b)(c)(d)(e)(f)(g)(h)(i)(j)(k)(l)\\12\\123/" "(a)(b)(c)(d)(e)(f)(g)(h)(i)(j)(k)(l)\\12\\123" nil nil nil nil "abcdefghijkllS" nil "abcdefghijkllS" ("a" "b" "c" "d" "e" "f" "g" "h" "i" "j" "k" "l" nil nil nil nil)) (423 "\"abcdefghijk\\12S\" =~ /(a)(b)(c)(d)(e)(f)(g)(h)(i)(j)(k)\\12\\123/" "(a)(b)(c)(d)(e)(f)(g)(h)(i)(j)(k)\\12\\123" nil nil nil nil "abcdefghijk S" nil "abcdefghijk S" ("a" "b" "c" "d" "e" "f" "g" "h" "i" "j" "k" nil nil nil nil nil)) (424 "\"abgdef\" =~ /ab\\gdef/" "ab\\gdef" nil nil nil nil "abgdef" nil "abgdef" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (425 "\"bc\" =~ /a{0}bc/" "a{0}bc" nil nil nil nil "bc" nil "bc" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (426 "\"xyz\" =~ /(a|(bc)){0,0}?xyz/" "(a|(bc)){0,0}?xyz" nil nil nil nil "xyz" nil "xyz" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (427 "\"abc\\010de\" =~ /abc[\\10]de/" "abc[\\10]de" nil nil nil nil ("abc" 8 "de") nil ("abc" 8 "de") (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (428 "\"abc\\1de\" =~ /abc[\\1]de/" "abc[\\1]de" nil nil nil nil ("abc" 1 "de") nil ("abc" 1 "de") (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (429 "\"abc\\1de\" =~ /(abc)[\\1]de/" "(abc)[\\1]de" nil nil nil nil ("abc" 1 "de") nil ("abc" 1 "de") ("abc" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (430 "\"a\\nb\" =~ /a.b(?s)/" "a.b(?s)" nil nil nil nil "a b" nil nil nil) (431 "\"baNOTccccd\" =~ /^([^a])([^\\b])([^c]*)([^d]{3,4})/" "^([^a])([^\\b])([^c]*)([^d]{3,4})" nil nil nil nil "baNOTccccd" nil "baNOTcccc" ("b" "a" "NOT" "cccc" nil nil nil nil nil nil nil nil nil nil nil nil)) (432 "\"baNOTcccd\" =~ /^([^a])([^\\b])([^c]*)([^d]{3,4})/" "^([^a])([^\\b])([^c]*)([^d]{3,4})" nil nil nil nil "baNOTcccd" nil "baNOTccc" ("b" "a" "NOT" "ccc" nil nil nil nil nil nil nil nil nil nil nil nil)) (433 "\"baNOTccd\" =~ /^([^a])([^\\b])([^c]*)([^d]{3,4})/" "^([^a])([^\\b])([^c]*)([^d]{3,4})" nil nil nil nil "baNOTccd" nil "baNOTcc" ("b" "a" "NO" "Tcc" nil nil nil nil nil nil nil nil nil nil nil nil)) (434 "\"bacccd\" =~ /^([^a])([^\\b])([^c]*)([^d]{3,4})/" "^([^a])([^\\b])([^c]*)([^d]{3,4})" nil nil nil nil "bacccd" nil "baccc" ("b" "a" "" "ccc" nil nil nil nil nil nil nil nil nil nil nil nil)) (435 "\"anything\" =~ /^([^a])([^\\b])([^c]*)([^d]{3,4})/" "^([^a])([^\\b])([^c]*)([^d]{3,4})" nil nil nil nil "anything" nil nil nil) (436 "\"b\\bc\" =~ /^([^a])([^\\b])([^c]*)([^d]{3,4})/" "^([^a])([^\\b])([^c]*)([^d]{3,4})" nil nil nil nil ("b" 8 "c") nil nil nil) (437 "\"baccd\" =~ /^([^a])([^\\b])([^c]*)([^d]{3,4})/" "^([^a])([^\\b])([^c]*)([^d]{3,4})" nil nil nil nil "baccd" nil nil nil) (438 "\"Abc\" =~ /[^a]/" "[^a]" nil nil nil nil "Abc" nil "A" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (439 "\"Abc\" =~ /[^a]/i" "[^a]" t nil nil nil "Abc" nil "b" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (440 "\"AAAaAbc\" =~ /[^a]+/" "[^a]+" nil nil nil nil "AAAaAbc" nil "AAA" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (441 "\"AAAaAbc\" =~ /[^a]+/i" "[^a]+" t nil nil nil "AAAaAbc" nil "bc" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (442 "\"bbb\\nccc\" =~ /[^a]+/" "[^a]+" nil nil nil nil "bbb ccc" nil "bbb ccc" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (443 "\"abc\" =~ /[^k]$/" "[^k]$" nil nil nil nil "abc" nil "c" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (444 "\"abk\" =~ /[^k]$/" "[^k]$" nil nil nil nil "abk" nil nil nil) (445 "\"abc\" =~ /[^k]{2,3}$/" "[^k]{2,3}$" nil nil nil nil "abc" nil "abc" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (446 "\"kbc\" =~ /[^k]{2,3}$/" "[^k]{2,3}$" nil nil nil nil "kbc" nil "bc" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (447 "\"kabc\" =~ /[^k]{2,3}$/" "[^k]{2,3}$" nil nil nil nil "kabc" nil "abc" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (448 "\"abk\" =~ /[^k]{2,3}$/" "[^k]{2,3}$" nil nil nil nil "abk" nil nil nil) (449 "\"akb\" =~ /[^k]{2,3}$/" "[^k]{2,3}$" nil nil nil nil "akb" nil nil nil) (450 "\"akk\" =~ /[^k]{2,3}$/" "[^k]{2,3}$" nil nil nil nil "akk" nil nil nil) (451 "\"12345678\\@a.b.c.d\" =~ /^\\d{8,}\\@.+[^k]$/" "^\\d{8,}\\@.+[^k]$" nil nil nil nil "12345678@a.b.c.d" nil "12345678@a.b.c.d" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (452 "\"123456789\\@x.y.z\" =~ /^\\d{8,}\\@.+[^k]$/" "^\\d{8,}\\@.+[^k]$" nil nil nil nil "123456789@x.y.z" nil "123456789@x.y.z" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (453 "\"12345678\\@x.y.uk\" =~ /^\\d{8,}\\@.+[^k]$/" "^\\d{8,}\\@.+[^k]$" nil nil nil nil "12345678@x.y.uk" nil nil nil) (454 "\"1234567\\@a.b.c.d\" =~ /^\\d{8,}\\@.+[^k]$/" "^\\d{8,}\\@.+[^k]$" nil nil nil nil "1234567@a.b.c.d" nil nil nil) (455 "\"aaaaaaaaa\" =~ /(a)\\1{8,}/" "(a)\\1{8,}" nil nil nil nil "aaaaaaaaa" nil "aaaaaaaaa" ("a" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (456 "\"aaaaaaaaaa\" =~ /(a)\\1{8,}/" "(a)\\1{8,}" nil nil nil nil "aaaaaaaaaa" nil "aaaaaaaaaa" ("a" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (457 "\"aaaaaaa\" =~ /(a)\\1{8,}/" "(a)\\1{8,}" nil nil nil nil "aaaaaaa" nil nil nil) (458 "\"aaaabcd\" =~ /[^a]/" "[^a]" nil nil nil nil "aaaabcd" nil "b" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (459 "\"aaAabcd\" =~ /[^a]/" "[^a]" nil nil nil nil "aaAabcd" nil "A" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (460 "\"aaaabcd\" =~ /[^a]/i" "[^a]" t nil nil nil "aaaabcd" nil "b" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (461 "\"aaAabcd\" =~ /[^a]/i" "[^a]" t nil nil nil "aaAabcd" nil "b" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (462 "\"aaaabcd\" =~ /[^az]/" "[^az]" nil nil nil nil "aaaabcd" nil "b" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (463 "\"aaAabcd\" =~ /[^az]/" "[^az]" nil nil nil nil "aaAabcd" nil "A" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (464 "\"aaaabcd\" =~ /[^az]/i" "[^az]" t nil nil nil "aaaabcd" nil "b" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (465 "\"aaAabcd\" =~ /[^az]/i" "[^az]" t nil nil nil "aaAabcd" nil "b" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (466 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=~ 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nil nil nil nil ("" 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 " !\"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\\]^_`abcdefghijklmnopqrstuvwxyz{|}~" 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255) nil ("" 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 " !\"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\\]^_`abcdefghijklmnopqrstuvwxyz{|}~" 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255) (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (467 "\"xxxxxxxxxxxPSTAIREISLLxxxxxxxxx\" =~ /P[^*]TAIRE[^*]{1,6}?LL/" "P[^*]TAIRE[^*]{1,6}?LL" nil nil nil nil "xxxxxxxxxxxPSTAIREISLLxxxxxxxxx" nil "PSTAIREISLL" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (468 "\"xxxxxxxxxxxPSTAIREISLLxxxxxxxxx\" =~ /P[^*]TAIRE[^*]{1,}?LL/" "P[^*]TAIRE[^*]{1,}?LL" nil nil nil nil "xxxxxxxxxxxPSTAIREISLLxxxxxxxxx" nil "PSTAIREISLL" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (469 "\"1.230003938\" =~ /(\\.\\d\\d[1-9]?)\\d+/" "(\\.\\d\\d[1-9]?)\\d+" nil nil nil nil "1.230003938" nil ".230003938" (".23" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (470 "\"1.875000282\" =~ /(\\.\\d\\d[1-9]?)\\d+/" "(\\.\\d\\d[1-9]?)\\d+" nil nil nil nil "1.875000282" nil ".875000282" (".875" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (471 "\"1.235\" =~ /(\\.\\d\\d[1-9]?)\\d+/" "(\\.\\d\\d[1-9]?)\\d+" nil nil nil nil "1.235" nil ".235" (".23" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (472 "\"1.230003938\" =~ /(\\.\\d\\d((?=0)|\\d(?=\\d)))/" "(\\.\\d\\d((?=0)|\\d(?=\\d)))" nil nil nil nil "1.230003938" nil ".23" (".23" "" nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (473 "\"1.875000282\" =~ /(\\.\\d\\d((?=0)|\\d(?=\\d)))/" "(\\.\\d\\d((?=0)|\\d(?=\\d)))" nil nil nil nil "1.875000282" nil ".875" (".875" "5" nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (474 "\"1.235\" =~ /(\\.\\d\\d((?=0)|\\d(?=\\d)))/" "(\\.\\d\\d((?=0)|\\d(?=\\d)))" nil nil nil nil "1.235" nil nil nil) (475 "\"ab\" =~ /a(?)b/" "a(?)b" nil nil nil nil "ab" nil "ab" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (476 "\"Food is on the foo table\" =~ /\\b(foo)\\s+(\\w+)/i" "\\b(foo)\\s+(\\w+)" t nil nil nil "Food is on the foo table" nil "foo table" ("foo" "table" nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (477 "\"The food is under the bar in the barn.\" =~ /foo(.*)bar/" "foo(.*)bar" nil nil nil nil "The food is under the bar in the barn." nil "food is under the bar in the bar" ("d is under the bar in the " nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (478 "\"The food is under the bar in the barn.\" =~ /foo(.*?)bar/" "foo(.*?)bar" nil nil nil nil "The food is under the bar in the barn." nil "food is under the bar" ("d is under the " nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (479 "\"I have 2 numbers: 53147\" =~ /(.*)(\\d*)/" "(.*)(\\d*)" nil nil nil nil "I have 2 numbers: 53147" nil "I have 2 numbers: 53147" ("I have 2 numbers: 53147" "" nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (480 "\"I have 2 numbers: 53147\" =~ /(.*)(\\d+)/" "(.*)(\\d+)" nil nil nil nil "I have 2 numbers: 53147" nil "I have 2 numbers: 53147" ("I have 2 numbers: 5314" "7" nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (481 "\"I have 2 numbers: 53147\" =~ /(.*?)(\\d*)/" "(.*?)(\\d*)" nil nil nil nil "I have 2 numbers: 53147" nil "" ("" "" nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (482 "\"I have 2 numbers: 53147\" =~ /(.*?)(\\d+)/" "(.*?)(\\d+)" nil nil nil nil "I have 2 numbers: 53147" nil "I have 2" ("I have " "2" nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (483 "\"I have 2 numbers: 53147\" =~ /(.*)(\\d+)$/" "(.*)(\\d+)$" nil nil nil nil "I have 2 numbers: 53147" nil "I have 2 numbers: 53147" ("I have 2 numbers: 5314" "7" nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (484 "\"I have 2 numbers: 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shark" nil nil nil) (510 "\"word cat dog elephant mussel cow horse canary baboon snake shark the quick brown fox and the lazy dog and several other words getting close to thirty by now I hope\" =~ /word (?:[a-zA-Z0-9]+ ){0,300}otherword/" "word (?:[a-zA-Z0-9]+ ){0,300}otherword" nil nil nil nil "word cat dog elephant mussel cow horse canary baboon snake shark the quick brown fox and the lazy dog and several other words getting close to thirty by now I hope" nil nil nil) (511 "\"bcd\" =~ /^(a){0,0}/" "^(a){0,0}" nil nil nil nil "bcd" nil "" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (512 "\"abc\" =~ /^(a){0,0}/" "^(a){0,0}" nil nil nil nil "abc" nil "" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (513 "\"aab\" =~ /^(a){0,0}/" "^(a){0,0}" nil nil nil nil "aab" nil "" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (514 "\"bcd\" =~ /^(a){0,1}/" "^(a){0,1}" nil nil nil nil "bcd" nil "" (nil nil nil nil nil nil nil nil nil nil 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nil nil)) (570 "\"BarFoo\" =~ /(?s)(.*X|^B)/" "(?s)(.*X|^B)" nil nil nil nil "BarFoo" nil "B" ("B" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (571 "\"abcde\\nBar\" =~ /(?s)(.*X|^B)/" "(?s)(.*X|^B)" nil nil nil nil "abcde Bar" nil nil nil) (572 "\"abcde\\n1234Xyz\" =~ /(?s:.*X|^B)/" "(?s:.*X|^B)" nil nil nil nil "abcde 1234Xyz" nil "abcde 1234X" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (573 "\"BarFoo\" =~ /(?s:.*X|^B)/" "(?s:.*X|^B)" nil nil nil nil "BarFoo" nil "B" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (574 "\"abcde\\nBar\" =~ /(?s:.*X|^B)/" "(?s:.*X|^B)" nil nil nil nil "abcde Bar" nil nil nil) (575 "\"abc\\nB\" =~ /^.*B/" "^.*B" nil nil nil nil "abc B" nil nil nil) (576 "\"abc\\nB\" =~ /(?s)^.*B/" "(?s)^.*B" nil nil nil nil "abc B" nil "abc B" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (577 "\"abc\\nB\" =~ /(?m)^.*B/" "(?m)^.*B" nil nil nil nil "abc B" nil "B" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (578 "\"abc\\nB\" =~ /(?ms)^.*B/" "(?ms)^.*B" nil nil nil nil "abc B" nil "abc B" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (579 "\"abc\\nB\" =~ /(?ms)^B/" "(?ms)^B" nil nil nil nil "abc B" nil "B" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (580 "\"B\\n\" =~ /(?s)B$/" "(?s)B$" nil nil nil nil "B " nil "B" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (581 "\"123456654321\" =~ /^[0-9][0-9][0-9][0-9][0-9][0-9][0-9][0-9][0-9][0-9][0-9][0-9]/" "^[0-9][0-9][0-9][0-9][0-9][0-9][0-9][0-9][0-9][0-9][0-9][0-9]" nil nil nil nil "123456654321" nil "123456654321" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (582 "\"123456654321\" =~ /^\\d\\d\\d\\d\\d\\d\\d\\d\\d\\d\\d\\d/" "^\\d\\d\\d\\d\\d\\d\\d\\d\\d\\d\\d\\d" nil nil nil nil "123456654321" nil "123456654321" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (583 "\"123456654321\" =~ /^[\\d][\\d][\\d][\\d][\\d][\\d][\\d][\\d][\\d][\\d][\\d][\\d]/" "^[\\d][\\d][\\d][\\d][\\d][\\d][\\d][\\d][\\d][\\d][\\d][\\d]" nil nil nil nil "123456654321" nil "123456654321" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (584 "\"abcabcabcabc\" =~ /^[abc]{12}/" "^[abc]{12}" nil nil nil nil "abcabcabcabc" nil "abcabcabcabc" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (585 "\"abcabcabcabc\" =~ /^[a-c]{12}/" "^[a-c]{12}" nil nil nil nil "abcabcabcabc" nil "abcabcabcabc" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (586 "\"abcabcabcabc\" =~ /^(a|b|c){12}/" "^(a|b|c){12}" nil nil nil nil "abcabcabcabc" nil "abcabcabcabc" ("c" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (587 "\"n\" =~ /^[abcdefghijklmnopqrstuvwxy0123456789]/" "^[abcdefghijklmnopqrstuvwxy0123456789]" nil nil nil nil "n" nil "n" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (588 "\"z\" =~ /^[abcdefghijklmnopqrstuvwxy0123456789]/" "^[abcdefghijklmnopqrstuvwxy0123456789]" nil nil nil nil "z" nil nil nil) (589 "\"abcd\" =~ /abcde{0,0}/" "abcde{0,0}" nil nil nil nil "abcd" nil "abcd" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (590 "\"abce\" =~ /abcde{0,0}/" "abcde{0,0}" nil nil nil nil "abce" nil nil nil) (591 "\"abe\" =~ /ab[cd]{0,0}e/" "ab[cd]{0,0}e" nil nil nil nil "abe" nil "abe" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (592 "\"abcde\" =~ /ab[cd]{0,0}e/" "ab[cd]{0,0}e" nil nil nil nil "abcde" nil nil nil) (593 "\"abd\" =~ /ab(c){0,0}d/" "ab(c){0,0}d" nil nil nil nil "abd" nil "abd" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (594 "\"abcd\" =~ /ab(c){0,0}d/" "ab(c){0,0}d" nil nil nil nil "abcd" nil nil nil) (595 "\"a\" =~ /a(b*)/" "a(b*)" nil nil nil nil "a" nil "a" ("" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (596 "\"ab\" =~ /a(b*)/" "a(b*)" nil nil nil nil "ab" nil "ab" ("b" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (597 "\"abbbb\" =~ /a(b*)/" "a(b*)" nil nil nil nil "abbbb" nil "abbbb" ("bbbb" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (598 "\"bbbbb\" =~ /a(b*)/" "a(b*)" nil nil nil nil "bbbbb" nil nil nil) (599 "\"abe\" =~ /ab\\d{0}e/" "ab\\d{0}e" nil nil nil nil "abe" nil "abe" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (600 "\"ab1e\" =~ /ab\\d{0}e/" "ab\\d{0}e" nil nil nil nil "ab1e" nil nil nil) (601 "\"the \\\"quick\\\" brown fox\" =~ /\"([^\\\\\"]+|\\\\.)*\"/" "\"([^\\\\\"]+|\\\\.)*\"" nil nil nil nil "the \"quick\" brown fox" nil "\"quick\"" ("quick" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (602 "\"\\\"the \\\\\\\"quick\\\\\\\" brown fox\\\"\" =~ /\"([^\\\\\"]+|\\\\.)*\"/" "\"([^\\\\\"]+|\\\\.)*\"" nil nil nil nil "\"the \\\"quick\\\" brown fox\"" nil "\"the \\\"quick\\\" brown fox\"" (" brown fox" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (603 "\"abc\" =~ /.*?/" ".*?" nil nil nil nil "abc" nil "" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (604 "\"abc\" =~ /\\b/" "\\b" nil nil nil nil "abc" nil "" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (605 "\"abc\" =~ /\\b/" "\\b" nil nil nil nil "abc" nil "" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (606 "\"abc\" =~ /(?#)/" "" nil nil nil nil "abc" nil "" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (607 "\"43.Word Processor
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([\\w\\W\\s\\d][^<>]{0,})|[\\s]{0,}))<\\/a><\\/TD>]{0,})>([\\w\\W\\s\\d][^<>]{0,})<\\/TD>]{0,})>([\\w\\W\\s\\d][^<>]{0,})<\\/TD><\\/TR>/is" "]{0,})>]{0,})>([\\d]{0,}\\.)(.*)((
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(N-1286)Lega lstaff.comCA - Statewide" nil "43.Word Processor
(N-1286)Lega lstaff.comCA - Statewide" (" BGCOLOR='#DBE9E9'" " align=left valign=top" "43." "Word Processor
(N-1286)" "" "" nil " align=left valign=top" "Lega lstaff.com" " align=left valign=top" "CA - Statewide" nil nil nil nil nil)) (608 "\"acb\" =~ /a[^a]b/" "a[^a]b" nil nil nil nil "acb" nil "acb" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (609 "\"a\\nb\" =~ /a[^a]b/" "a[^a]b" nil nil nil nil "a b" nil "a b" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (610 "\"acb\" =~ /a.b/" "a.b" nil nil nil nil "acb" nil "acb" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (611 "\"a\\nb\" =~ /a.b/" "a.b" nil nil nil nil "a b" nil nil nil) (612 "\"acb\" =~ /a[^a]b/s" "a[^a]b" nil nil t nil "acb" nil "acb" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (613 "\"a\\nb\" =~ /a[^a]b/s" "a[^a]b" nil nil t nil "a b" nil "a b" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (614 "\"acb\" =~ /a.b/s" "a.b" nil nil t nil "acb" nil "acb" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (615 "\"a\\nb\" =~ /a.b/s" "a.b" nil nil t nil "a b" nil "a b" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (616 "\"bac\" =~ /^(b+?|a){1,2}?c/" "^(b+?|a){1,2}?c" nil nil nil nil "bac" nil "bac" ("a" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (617 "\"bbac\" =~ /^(b+?|a){1,2}?c/" "^(b+?|a){1,2}?c" nil nil nil nil "bbac" nil "bbac" ("a" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (618 "\"bbbac\" =~ /^(b+?|a){1,2}?c/" "^(b+?|a){1,2}?c" nil nil nil nil "bbbac" nil "bbbac" ("a" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (619 "\"bbbbac\" =~ /^(b+?|a){1,2}?c/" "^(b+?|a){1,2}?c" nil nil nil nil "bbbbac" nil "bbbbac" ("a" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (620 "\"bbbbbac\" =~ /^(b+?|a){1,2}?c/" "^(b+?|a){1,2}?c" nil nil nil nil "bbbbbac" nil "bbbbbac" ("a" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (621 "\"bac\" =~ /^(b+|a){1,2}?c/" "^(b+|a){1,2}?c" nil nil nil nil "bac" nil "bac" ("a" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (622 "\"bbac\" =~ /^(b+|a){1,2}?c/" "^(b+|a){1,2}?c" nil nil nil nil "bbac" nil "bbac" ("a" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (623 "\"bbbac\" =~ /^(b+|a){1,2}?c/" "^(b+|a){1,2}?c" nil nil nil nil "bbbac" nil "bbbac" ("a" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (624 "\"bbbbac\" =~ /^(b+|a){1,2}?c/" "^(b+|a){1,2}?c" nil nil nil nil "bbbbac" nil "bbbbac" ("a" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (625 "\"bbbbbac\" =~ /^(b+|a){1,2}?c/" "^(b+|a){1,2}?c" nil nil nil nil "bbbbbac" nil "bbbbbac" ("a" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (626 "\"x\\nb\\n\" =~ /(?!\\A)x/m" "(?!\\A)x" nil t nil nil "x b " nil nil nil) (627 "\"a\\bx\\n\" =~ /(?!\\A)x/m" "(?!\\A)x" nil t nil nil ("a" 8 "x" 10) nil "x" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (628 "\"\\0{ab}\" =~ /\\x0{ab}/" "\\x0{ab}" nil nil nil nil ("" 0 "{ab}") nil ("" 0 "{ab}") (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (629 "\"CD\" =~ /(A|B)*?CD/" "(A|B)*?CD" nil nil nil nil "CD" nil "CD" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (630 "\"CD\" =~ /(A|B)*CD/" "(A|B)*CD" nil nil nil nil "CD" nil "CD" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (631 "\"ABABAB\" =~ /(AB)*?\\1/" "(AB)*?\\1" nil nil nil nil "ABABAB" nil "ABAB" ("AB" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (632 "\"ABABAB\" =~ /(AB)*\\1/" "(AB)*\\1" nil nil nil nil "ABABAB" nil "ABABAB" ("AB" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (633 "\"doesn't matter\" =~ /(/" "(" nil nil nil nil "doesn't matter" t nil nil) (634 "\"doesn't matter\" =~ /(x)\\2/" "(x)\\2" nil nil nil nil "doesn't matter" t nil nil) (635 "\"aaaaaaaaaac\" =~ /((a{0,5}){0,5}){0,5}[c]/" "((a{0,5}){0,5}){0,5}[c]" nil nil nil nil "aaaaaaaaaac" nil "aaaaaaaaaac" ("" "" nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (636 "\"aaaaaaaaaa\" =~ /((a{0,5}){0,5}){0,5}[c]/" "((a{0,5}){0,5}){0,5}[c]" nil nil nil nil "aaaaaaaaaa" nil nil nil) (637 "\"aaaaaaaaaac\" =~ /((a{0,5}){0,5})*[c]/" "((a{0,5}){0,5})*[c]" nil nil nil nil "aaaaaaaaaac" nil "aaaaaaaaaac" ("" "" nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (638 "\"aaaaaaaaaa\" =~ /((a{0,5}){0,5})*[c]/" "((a{0,5}){0,5})*[c]" nil nil nil nil "aaaaaaaaaa" nil nil nil) (639 "\"a\" =~ /(\\b)*a/" "(\\b)*a" nil nil nil nil "a" nil "a" ("" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (640 "\"ab\" =~ /(a)*b/" "(a)*b" nil nil nil nil "ab" nil "ab" ("a" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (641 "\"ab\" =~ /(a|)*b/" "(a|)*b" nil nil nil nil "ab" nil "ab" ("" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (642 "\"b\" =~ /(a|)*b/" "(a|)*b" nil nil nil nil "b" nil "b" ("" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (643 "\"x\" =~ /(a|)*b/" "(a|)*b" nil nil nil nil "x" nil nil nil) (644 "\"abab\" =~ /^(?:(a)|(b))*\\1\\2$/" "^(?:(a)|(b))*\\1\\2$" nil nil nil nil "abab" nil "abab" ("a" "b" nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (645 "\"abcxabcydef\" =~ /abc[^x]def/" "abc[^x]def" nil nil nil nil "abcxabcydef" nil "abcydef" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (646 "\"aax\" =~ /^(a|\\1x)*$/" "^(a|\\1x)*$" nil nil nil nil "aax" nil "aax" ("ax" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (647 "\"aaxa\" =~ /^(a|\\1x)*$/" "^(a|\\1x)*$" nil nil nil nil "aaxa" nil "aaxa" ("a" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (648 "\"@{['']}\" =~ /(?#)/" "" nil nil nil nil "" nil "" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (649 "\"ab\" =~ /^(?:(a)|(b))*$/" "^(?:(a)|(b))*$" nil nil nil nil "ab" nil "ab" ("a" "b" nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (650 "\"a\" =~ /[\\0]/" "[\\0]" nil nil nil nil "a" nil nil nil) (651 "\"\\0\" =~ /[\\0]/" "[\\0]" nil nil nil nil ("" 0) nil ("" 0) (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (652 "\"a\" =~ /[\\1]/" "[\\1]" nil nil nil nil "a" nil nil nil) (653 "\"\\1\" =~ /[\\1]/" "[\\1]" nil nil nil nil ("" 1) nil ("" 1) (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (654 "\"doesn't matter\" =~ /\\10()()()()()()()()()/" "\\10()()()()()()()()()" nil nil nil nil "doesn't matter" nil nil nil) (655 "\"a\" =~ /\\10()()()()()()()()()()/" "\\10()()()()()()()()()()" nil nil nil nil "a" nil nil nil) (656 "\"ab\" =~ /a(?<)b/" "a(?<)b" nil nil nil nil "ab" nil "ab" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (657 "\"doesn't matter\" =~ /[]/" "[]" nil nil nil nil "doesn't matter" t nil nil) (658 "\"doesn't matter\" =~ /[\\]/" "[\\]" nil nil nil nil "doesn't matter" t nil nil) (659 "\"a\" =~ /()/" "()" nil nil nil nil "a" nil "" ("" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (660 "\"x\" =~ /[\\x]/" "[\\x]" nil nil nil nil "x" nil nil nil) (661 "\"\\0\" =~ /[\\x]/" "[\\x]" nil nil nil nil ("" 0) nil ("" 0) (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (662 "\"a\" =~ /((a)*)*/" "((a)*)*" nil nil nil nil "a" nil "a" ("" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (663 "\"a\" =~ /()a\\1/" "()a\\1" nil nil nil nil "a" nil "a" ("" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (664 "\"a\" =~ /a\\1()/" "a\\1()" nil nil nil nil "a" nil nil nil) (665 "\"aaa\" =~ /a(?i)a(?-i)a/" "a(?i)a(?-i)a" nil nil nil nil "aaa" nil "aaa" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (666 "\"aAa\" =~ /a(?i)a(?-i)a/" "a(?i)a(?-i)a" nil nil nil nil "aAa" nil "aAa" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (667 "\"aAA\" =~ /a(?i)a(?-i)a/" "a(?i)a(?-i)a" nil nil nil nil "aAA" nil nil nil) (668 "\"aaaaa\" =~ /a(?i)a(?-i)a(?i)a(?-i)a/" "a(?i)a(?-i)a(?i)a(?-i)a" nil nil nil nil "aaaaa" nil "aaaaa" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (669 "\"aAaAa\" =~ /a(?i)a(?-i)a(?i)a(?-i)a/" "a(?i)a(?-i)a(?i)a(?-i)a" nil nil nil nil "aAaAa" nil "aAaAa" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (670 "\"AaAaA\" =~ /a(?i)a(?-i)a(?i)a(?-i)a/" "a(?i)a(?-i)a(?i)a(?-i)a" nil nil nil nil "AaAaA" nil nil nil) (671 "\"aAAAa\" =~ /a(?i)a(?-i)a(?i)a(?-i)a/" "a(?i)a(?-i)a(?i)a(?-i)a" nil nil nil nil "aAAAa" nil nil nil) (672 "\"AaaaA\" =~ /a(?i)a(?-i)a(?i)a(?-i)a/" "a(?i)a(?-i)a(?i)a(?-i)a" nil nil nil nil "AaaaA" nil nil nil) (673 "\"AAAAA\" =~ /a(?i)a(?-i)a(?i)a(?-i)a/" "a(?i)a(?-i)a(?i)a(?-i)a" nil nil nil nil "AAAAA" nil nil nil) (674 "\"aaAAA\" =~ /a(?i)a(?-i)a(?i)a(?-i)a/" "a(?i)a(?-i)a(?i)a(?-i)a" nil nil nil nil "aaAAA" nil nil nil) (675 "\"AAaaa\" =~ /a(?i)a(?-i)a(?i)a(?-i)a/" "a(?i)a(?-i)a(?i)a(?-i)a" nil nil nil nil "AAaaa" nil nil nil) (676 "\"a\" =~ /\\x/" "\\x" nil nil nil nil "a" nil nil nil) (677 "\"X\" =~ /\\x/" "\\x" nil nil nil nil "X" nil nil nil) (678 "\"\\0\" =~ /\\x/" "\\x" nil nil nil nil ("" 0) nil ("" 0) (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (679 "\"a\" =~ /[a-c-e]/" "[a-c-e]" nil nil nil nil "a" nil "a" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (680 "\"b\" =~ /[a-c-e]/" "[a-c-e]" nil nil nil nil "b" nil "b" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (681 "\"d\" =~ /[a-c-e]/" "[a-c-e]" nil nil nil nil "d" nil nil nil) (682 "\"-\" =~ /[a-c-e]/" "[a-c-e]" nil nil nil nil "-" nil "-" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (683 "\"b\" =~ /[b-\\d]/" "[b-\\d]" nil nil nil nil "b" nil "b" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (684 "\"c\" =~ /[b-\\d]/" "[b-\\d]" nil nil nil nil "c" nil nil nil) (685 "\"d\" =~ /[b-\\d]/" "[b-\\d]" nil nil nil nil "d" nil nil nil) (686 "\"-\" =~ /[b-\\d]/" "[b-\\d]" nil nil nil nil "-" nil "-" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (687 "\"1\" =~ /[b-\\d]/" "[b-\\d]" nil nil nil nil "1" nil "1" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (688 "\"d\" =~ /[\\d-f]/" "[\\d-f]" nil nil nil nil "d" nil nil nil) (689 "\"e\" =~ /[\\d-f]/" "[\\d-f]" nil nil nil nil "e" nil nil nil) (690 "\"f\" =~ /[\\d-f]/" "[\\d-f]" nil nil nil nil "f" nil "f" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (691 "\"-\" =~ /[\\d-f]/" "[\\d-f]" nil nil nil nil "-" nil "-" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (692 "\"1\" =~ /[\\d-f]/" "[\\d-f]" nil nil nil nil "1" nil "1" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (693 "\"doesn't matter\" =~ /[/" "[" nil nil nil nil "doesn't matter" t nil nil) (694 "\"]\" =~ /]/" "]" nil nil nil nil "]" nil "]" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (695 "\"a\" =~ /]/" "]" nil nil nil nil "a" nil nil nil) (696 "\"doesn't matter\" =~ /[]/" "[]" nil nil nil nil "doesn't matter" t nil nil) (697 "\"-\" =~ /[-a-c]/" "[-a-c]" nil nil nil nil "-" nil "-" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (698 "\"a\" =~ /[-a-c]/" "[-a-c]" nil nil nil nil "a" nil "a" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (699 "\"b\" =~ /[-a-c]/" "[-a-c]" nil nil nil nil "b" nil "b" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (700 "\"d\" =~ /[-a-c]/" "[-a-c]" nil nil nil nil "d" nil nil nil) (701 "\"-\" =~ /[a-c-]/" "[a-c-]" nil nil nil nil "-" nil "-" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (702 "\"a\" =~ /[a-c-]/" "[a-c-]" nil nil nil nil "a" nil "a" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (703 "\"b\" =~ /[a-c-]/" "[a-c-]" nil nil nil nil "b" nil "b" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (704 "\"d\" =~ /[a-c-]/" "[a-c-]" nil nil nil nil "d" nil nil nil) (705 "\"a\" =~ /[-]/" "[-]" nil nil nil nil "a" nil nil nil) (706 "\"-\" =~ /[-]/" "[-]" nil nil nil nil "-" nil "-" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (707 "\"a\" =~ /[--]/" "[--]" nil nil nil nil "a" nil nil nil) (708 "\"-\" =~ /[--]/" "[--]" nil nil nil nil "-" nil "-" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (709 "\"a\" =~ /[---]/" "[---]" nil nil nil nil "a" nil nil nil) (710 "\"-\" =~ /[---]/" "[---]" nil nil nil nil "-" nil "-" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (711 "\"-\" =~ /[--b]/" "[--b]" nil nil nil nil "-" nil "-" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (712 "\"a\" =~ /[--b]/" "[--b]" nil nil nil nil "a" nil "a" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (713 "\"c\" =~ /[--b]/" "[--b]" nil nil nil nil "c" nil nil nil) (714 "\"doesn't matter\" =~ /[b--]/" "[b--]" nil nil nil nil "doesn't matter" t nil nil) (715 "\"a{\" =~ /a{/" "a{" nil nil nil nil "a{" nil "a{" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (716 "\"a{}\" =~ /a{}/" "a{}" nil nil nil nil "a{}" nil "a{}" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (717 "\"a{3\" =~ /a{3/" "a{3" nil nil nil nil "a{3" nil "a{3" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (718 "\"a{3,\" =~ /a{3,/" "a{3," nil nil nil nil "a{3," nil "a{3," (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (719 "\"a{3,3}\" =~ /a{3, 3}/" "a{3, 3}" nil nil nil nil "a{3,3}" nil nil nil) (720 "\"a{3, 3}\" =~ /a{3, 3}/" "a{3, 3}" nil nil nil nil "a{3, 3}" nil "a{3, 3}" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (721 "\"aaa\" =~ /a{3, 3}/" "a{3, 3}" nil nil nil nil "aaa" nil nil nil) (722 "\"a{3,3}\" =~ /a{3, 3}/x" "a{3, 3}" nil nil nil t "a{3,3}" nil "a{3,3}" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (723 "\"a{3, 3}\" =~ /a{3, 3}/x" "a{3, 3}" nil nil nil t "a{3, 3}" nil nil nil) (724 "\"aaa\" =~ /a{3, 3}/x" "a{3, 3}" nil nil nil t "aaa" nil nil nil) (725 "\"a{3,}\" =~ /a{3, }/" "a{3, }" nil nil nil nil "a{3,}" nil nil nil) (726 "\"a{3, }\" =~ /a{3, }/" "a{3, }" nil nil nil nil "a{3, }" nil "a{3, }" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (727 "\"aaa\" =~ /a{3, }/" "a{3, }" nil nil nil nil "aaa" nil nil nil) (728 "\"a{3,}\" =~ /a{3, }/x" "a{3, }" nil nil nil t "a{3,}" nil "a{3,}" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (729 "\"a{3, }\" =~ /a{3, }/x" "a{3, }" nil nil nil t "a{3, }" nil nil nil) (730 "\"aaa\" =~ /a{3, }/x" "a{3, }" nil nil nil t "aaa" nil nil nil) (731 "\"\\0 x\" =~ /\\x x/" "\\x x" nil nil nil nil ("" 0 " x") nil ("" 0 " x") (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (732 "\"\\0x\" =~ /\\x x/" "\\x x" nil nil nil nil ("" 0 "x") nil nil nil) (733 "\"\\0 x\" =~ /\\x x/x" "\\x x" nil nil nil t ("" 0 " x") nil nil nil) (734 "\"\\0x\" =~ /\\x x/x" "\\x x" nil nil nil t ("" 0 "x") nil ("" 0 "x") (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (735 "\"\\0003\" =~ /\\x 3/" "\\x 3" nil nil nil nil ("" 0 "3") nil nil nil) (736 "\"\\000 3\" =~ /\\x 3/" "\\x 3" nil nil nil nil ("" 0 " 3") nil ("" 0 " 3") (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (737 "\"x3\" =~ /\\x 3/" "\\x 3" nil nil nil nil "x3" nil nil nil) (738 "\"x 3\" =~ /\\x 3/" "\\x 3" nil nil nil nil "x 3" nil nil nil) (739 "\"\\0003\" =~ /\\x 3/x" "\\x 3" nil nil nil t ("" 0 "3") nil ("" 0 "3") (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (740 "\"\\000 3\" =~ /\\x 3/x" "\\x 3" nil nil nil t ("" 0 " 3") nil nil nil) (741 "\"x3\" =~ /\\x 3/x" "\\x 3" nil nil nil t "x3" nil nil nil) (742 "\"x 3\" =~ /\\x 3/x" "\\x 3" nil nil nil t "x 3" nil nil nil) (743 "\"a\" =~ /^a{ 1}$/" "^a{ 1}$" nil nil nil nil "a" nil nil nil) (744 "\"a{ 1}\" =~ /^a{ 1}$/" "^a{ 1}$" nil nil nil nil "a{ 1}" nil "a{ 1}" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (745 "\"a{1}\" =~ /^a{ 1}$/" "^a{ 1}$" nil nil nil nil "a{1}" nil nil nil) (746 "\"a\" =~ /^a{ 1}$/x" "^a{ 1}$" nil nil nil t "a" nil nil nil) (747 "\"a{ 1}\" =~ /^a{ 1}$/x" "^a{ 1}$" nil nil nil t "a{ 1}" nil nil nil) (748 "\"a{1}\" =~ /^a{ 1}$/x" "^a{ 1}$" nil nil nil t "a{1}" nil "a{1}" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (749 "\"{}\" =~ /{}/" "{}" nil nil nil nil "{}" nil "{}" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (750 "\"a\" =~ /{}/" "{}" nil nil nil nil "a" nil nil nil) (751 "\"doesn't matter\" =~ /{1}/" "{1}" nil nil nil nil "doesn't matter" t nil nil) (752 "\"doesn't matter\" =~ /*/" "*" nil nil nil nil "doesn't matter" t nil nil) (753 "\"x\" =~ /|/" "|" nil nil nil nil "x" nil "" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (754 "\"\\0000\" =~ /\\0000/" "\\0000" nil nil nil nil ("" 0 "0") nil ("" 0 "0") (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (755 "\"ab\" =~ /a(?<)b/" "a(?<)b" nil nil nil nil "ab" nil "ab" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (756 "\"ab\" =~ /a(?i)b/" "a(?i)b" nil nil nil nil "ab" nil "ab" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (757 "\"aB\" =~ /a(?i)b/" "a(?i)b" nil nil nil nil "aB" nil "aB" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (758 "\"Ab\" =~ /a(?i)b/" "a(?i)b" nil nil nil nil "Ab" nil nil nil) (759 "\"doesn't matter\" =~ /a(?i=a)/" "a(?i=a)" nil nil nil nil "doesn't matter" t nil nil) (760 "\"aa\" =~ /a(?<=a){3000}a/" "a(?<=a){3000}a" nil nil nil nil "aa" nil "aa" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (761 "\"xa\" =~ /a(?<=a){3000}a/" "a(?<=a){3000}a" nil nil nil nil "xa" nil nil nil) (762 "\"ax\" =~ /a(?<=a){3000}a/" "a(?<=a){3000}a" nil nil nil nil "ax" nil nil nil) (763 "\"aa\" =~ /a(?!=a){3000}a/" "a(?!=a){3000}a" nil nil nil nil "aa" nil "aa" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (764 "\"ax\" =~ /a(?!=a){3000}a/" "a(?!=a){3000}a" nil nil nil nil "ax" nil nil nil) (765 "\"xa\" =~ /a(?!=a){3000}a/" "a(?!=a){3000}a" nil nil nil nil "xa" nil nil nil) (766 "\"aa\" =~ /a(){3000}a/" "a(){3000}a" nil nil nil nil "aa" nil "aa" ("" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (767 "\"ax\" =~ /a(){3000}a/" "a(){3000}a" nil nil nil nil "ax" nil nil nil) (768 "\"xa\" =~ /a(){3000}a/" "a(){3000}a" nil nil nil nil "xa" nil nil nil) (769 "\"aa\" =~ /a(?:){3000}a/" "a(?:){3000}a" nil nil nil nil "aa" nil "aa" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (770 "\"ax\" =~ /a(?:){3000}a/" "a(?:){3000}a" nil nil nil nil "ax" nil nil nil) (771 "\"aa\" =~ /a(?<=a)*a/" "a(?<=a)*a" nil nil nil nil "aa" nil "aa" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (772 "\"ax\" =~ /a(?<=a)*a/" "a(?<=a)*a" nil nil nil nil "ax" nil nil nil) (773 "\"xa\" =~ /a(?<=a)*a/" "a(?<=a)*a" nil nil nil nil "xa" nil nil nil) (774 "\"aa\" =~ /a(?!=a)*a/" "a(?!=a)*a" nil nil nil nil "aa" nil "aa" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (775 "\"ax\" =~ /a(?!=a)*a/" "a(?!=a)*a" nil nil nil nil "ax" nil nil nil) (776 "\"xa\" =~ /a(?!=a)*a/" "a(?!=a)*a" nil nil nil nil "xa" nil nil nil) (777 "\"aa\" =~ /a()*a/" "a()*a" nil nil nil nil "aa" nil "aa" ("" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (778 "\"ax\" =~ /a()*a/" "a()*a" nil nil nil nil "ax" nil nil nil) (779 "\"xa\" =~ /a()*a/" "a()*a" nil nil nil nil "xa" nil nil nil) (780 "\"aa\" =~ /a(?:)*a/" "a(?:)*a" nil nil nil nil "aa" nil "aa" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (781 "\"ax\" =~ /a(?:)*a/" "a(?:)*a" nil nil nil nil "ax" nil nil nil) (782 "\"xa\" =~ /a(?:)*a/" "a(?:)*a" nil nil nil nil "xa" nil nil nil) (783 "\"aa\" =~ /x(?<=a)*a/" "x(?<=a)*a" nil nil nil nil "aa" nil nil nil) (784 "\"xa\" =~ /x(?<=a)*a/" "x(?<=a)*a" nil nil nil nil "xa" nil "xa" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (785 "\"ax\" =~ /x(?<=a)*a/" "x(?<=a)*a" nil nil nil nil "ax" nil nil nil) (786 "\"aa\" =~ /a(?<=(a))*\\1/" "a(?<=(a))*\\1" nil nil nil nil "aa" nil "aa" ("a" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (787 "\"aa\" =~ /a(?<=(a))*?\\1/" "a(?<=(a))*?\\1" nil nil nil nil "aa" nil "aa" ("a" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (788 "\"aa\" =~ /(?=(a)\\1)*aa/" "(?=(a)\\1)*aa" nil nil nil nil "aa" nil "aa" ("a" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (789 "\"aaaaabbbbb\" =~ /^((a|b){2,5}){2}$/" "^((a|b){2,5}){2}$" nil nil nil nil "aaaaabbbbb" nil "aaaaabbbbb" ("bbbbb" "b" nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (790 "\"babc\" =~ /^(b*|ba){1,2}bc/" "^(b*|ba){1,2}bc" nil nil nil nil "babc" nil "babc" ("" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (791 "\"bbabc\" =~ /^(b*|ba){1,2}bc/" "^(b*|ba){1,2}bc" nil nil nil nil "bbabc" nil "bbabc" ("ba" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (792 "\"bababc\" =~ /^(b*|ba){1,2}bc/" "^(b*|ba){1,2}bc" nil nil nil nil "bababc" nil "bababc" ("ba" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (793 "\"bababbc\" =~ /^(b*|ba){1,2}bc/" "^(b*|ba){1,2}bc" nil nil nil nil "bababbc" nil nil nil) (794 "\"babababc\" =~ /^(b*|ba){1,2}bc/" "^(b*|ba){1,2}bc" nil nil nil nil "babababc" nil nil nil) (795 "\"aaaaac\" =~ /^a{4,5}(?:c|a)c$/" "^a{4,5}(?:c|a)c$" nil nil nil nil "aaaaac" nil "aaaaac" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (796 "\"aaaaaac\" =~ /^a{4,5}(?:c|a)c$/" "^a{4,5}(?:c|a)c$" nil nil nil nil "aaaaaac" nil "aaaaaac" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (797 "\"aaaaac\" =~ /^(a|){4,5}(?:c|a)c$/" "^(a|){4,5}(?:c|a)c$" nil nil nil nil "aaaaac" nil "aaaaac" ("" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (798 "\"aaaaaac\" =~ /^(a|){4,5}(?:c|a)c$/" "^(a|){4,5}(?:c|a)c$" nil nil nil nil "aaaaaac" nil "aaaaaac" ("a" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (799 "\"eeexabc\" =~ /(?m:^).abc$/" "(?m:^).abc$" nil nil nil nil "eeexabc" nil nil nil) (800 "\"eee\\nxabc\" =~ /(?m:^).abc$/" "(?m:^).abc$" nil nil nil nil "eee xabc" nil "xabc" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (801 "\"abc\" =~ /(?m:^)abc/" "(?m:^)abc" nil nil nil nil "abc" nil "abc" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (802 "\"\\nabc\" =~ /(?m:^)abc/" "(?m:^)abc" nil nil nil nil " abc" nil "abc" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (803 "\"abc\" =~ /^abc/" "^abc" nil nil nil nil "abc" nil "abc" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (804 "\"\\nabc\" =~ /^abc/" "^abc" nil nil nil nil " abc" nil nil nil) (805 "\"abc\" =~ /\\Aabc/" "\\Aabc" nil nil nil nil "abc" nil "abc" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (806 "\"\\nabc\" =~ /\\Aabc/" "\\Aabc" nil nil nil nil " abc" nil nil nil) (807 "\"foo\" =~ /(?.*/)foo\"" "(?>.*/)foo" nil nil nil nil "/this/is/a/very/long/line/in/deed/with/very/many/slashes/in/it/you/see/" nil nil nil) (826 "\"/this/is/a/very/long/line/in/deed/with/very/many/slashes/in/and/foo\" =~ \"(?>.*/)foo\"" "(?>.*/)foo" nil nil nil nil "/this/is/a/very/long/line/in/deed/with/very/many/slashes/in/and/foo" nil "/this/is/a/very/long/line/in/deed/with/very/many/slashes/in/and/foo" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (827 "\"1.230003938\" =~ /(?>(\\.\\d\\d[1-9]?))\\d+/" "(?>(\\.\\d\\d[1-9]?))\\d+" nil nil nil nil "1.230003938" nil ".230003938" (".23" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (828 "\"1.875000282\" =~ /(?>(\\.\\d\\d[1-9]?))\\d+/" "(?>(\\.\\d\\d[1-9]?))\\d+" nil nil nil nil "1.875000282" nil ".875000282" (".875" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (829 "\"1.235\" =~ /(?>(\\.\\d\\d[1-9]?))\\d+/" "(?>(\\.\\d\\d[1-9]?))\\d+" nil nil nil nil "1.235" nil nil nil) (830 "\"now is the time for all good men to come to the aid of the party\" =~ /^((?>\\w+)|(?>\\s+))*$/" "^((?>\\w+)|(?>\\s+))*$" nil nil nil nil "now is the time for all good men to come to the aid of the party" nil "now is the time for all good men to come to the aid of the party" ("party" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (831 "\"this is not a line with only words and spaces!\" =~ /^((?>\\w+)|(?>\\s+))*$/" "^((?>\\w+)|(?>\\s+))*$" nil nil nil nil "this is not a line with only words and spaces!" nil nil nil) (832 "\"12345a\" =~ /(\\d+)(\\w)/" "(\\d+)(\\w)" nil nil nil nil "12345a" nil "12345a" ("12345" "a" nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (833 "\"12345+\" =~ /(\\d+)(\\w)/" "(\\d+)(\\w)" nil nil nil nil "12345+" nil "12345" ("1234" "5" nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (834 "\"12345a\" =~ /((?>\\d+))(\\w)/" "((?>\\d+))(\\w)" nil nil nil nil "12345a" nil "12345a" ("12345" "a" nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (835 "\"12345+\" =~ /((?>\\d+))(\\w)/" "((?>\\d+))(\\w)" nil nil nil nil "12345+" nil nil nil) (836 "\"aaab\" =~ /(?>a+)b/" "(?>a+)b" nil nil nil nil "aaab" nil "aaab" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (837 "\"aaab\" =~ /((?>a+)b)/" "((?>a+)b)" nil nil nil nil "aaab" nil "aaab" ("aaab" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (838 "\"aaab\" =~ /(?>(a+))b/" "(?>(a+))b" nil nil nil nil "aaab" nil "aaab" ("aaa" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (839 "\"aaabbbccc\" =~ /(?>b)+/" "(?>b)+" nil nil nil nil "aaabbbccc" nil "bbb" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (840 "\"aaabbbbccccd\" =~ /(?>a+|b+|c+)*c/" "(?>a+|b+|c+)*c" nil nil nil nil "aaabbbbccccd" nil "aaabbbbc" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (841 "\"((abc(ade)ufh()()x\" =~ /((?>[^()]+)|\\([^()]*\\))+/" "((?>[^()]+)|\\([^()]*\\))+" nil nil nil nil "((abc(ade)ufh()()x" nil "abc(ade)ufh()()x" ("x" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (842 "\"(abc)\" =~ /\\(((?>[^()]+)|\\([^()]+\\))+\\)/" "\\(((?>[^()]+)|\\([^()]+\\))+\\)" nil nil nil nil "(abc)" nil "(abc)" ("abc" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (843 "\"(abc(def)xyz)\" =~ /\\(((?>[^()]+)|\\([^()]+\\))+\\)/" "\\(((?>[^()]+)|\\([^()]+\\))+\\)" nil nil nil nil "(abc(def)xyz)" nil "(abc(def)xyz)" ("xyz" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (844 "\"((()aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa\" =~ /\\(((?>[^()]+)|\\([^()]+\\))+\\)/" "\\(((?>[^()]+)|\\([^()]+\\))+\\)" nil nil nil nil "((()aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa" nil nil nil) (845 "\"ab\" =~ /a(?-i)b/i" "a(?-i)b" t nil nil nil "ab" nil "ab" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (846 "\"Ab\" =~ /a(?-i)b/i" "a(?-i)b" t nil nil nil "Ab" nil "Ab" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (847 "\"aB\" =~ /a(?-i)b/i" "a(?-i)b" t nil nil nil "aB" nil nil nil) (848 "\"AB\" =~ /a(?-i)b/i" "a(?-i)b" t nil nil nil "AB" nil nil nil) (849 "\"a bcd e\" =~ /(a (?x)b c)d e/" "(a (?x)b c)d e" nil nil nil nil "a bcd e" nil "a bcd e" ("a bc" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (850 "\"a b cd e\" =~ /(a (?x)b c)d e/" "(a (?x)b c)d e" nil nil nil nil "a b cd e" nil nil nil) (851 "\"abcd e\" =~ /(a (?x)b c)d e/" "(a (?x)b c)d e" nil nil nil nil "abcd e" nil nil nil) (852 "\"a bcde\" =~ /(a (?x)b c)d e/" "(a (?x)b c)d e" nil nil nil nil "a bcde" nil nil nil) (853 "\"a bcde f\" =~ /(a b(?x)c d (?-x)e f)/" "(a b(?x)c d (?-x)e f)" nil nil nil nil "a bcde f" nil "a bcde f" ("a bcde f" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (854 "\"abcdef\" =~ /(a b(?x)c d (?-x)e f)/" "(a b(?x)c d (?-x)e f)" nil nil nil nil "abcdef" nil nil nil) (855 "\"abc\" =~ /(a(?i)b)c/" "(a(?i)b)c" nil nil nil nil "abc" nil "abc" ("ab" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (856 "\"aBc\" =~ /(a(?i)b)c/" "(a(?i)b)c" nil nil nil nil "aBc" nil "aBc" ("aB" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (857 "\"abC\" =~ /(a(?i)b)c/" "(a(?i)b)c" nil nil nil nil "abC" nil nil nil) (858 "\"aBC\" =~ /(a(?i)b)c/" "(a(?i)b)c" nil nil nil nil "aBC" nil nil nil) (859 "\"Abc\" =~ /(a(?i)b)c/" "(a(?i)b)c" nil nil nil nil "Abc" nil nil nil) (860 "\"ABc\" =~ /(a(?i)b)c/" "(a(?i)b)c" nil nil nil nil "ABc" nil nil nil) (861 "\"ABC\" =~ /(a(?i)b)c/" "(a(?i)b)c" nil nil nil nil "ABC" nil nil nil) (862 "\"AbC\" =~ /(a(?i)b)c/" "(a(?i)b)c" nil nil nil nil "AbC" nil nil nil) (863 "\"abc\" =~ /a(?i:b)c/" "a(?i:b)c" nil nil nil nil "abc" nil "abc" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (864 "\"aBc\" =~ /a(?i:b)c/" "a(?i:b)c" nil nil nil nil "aBc" nil "aBc" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (865 "\"ABC\" =~ /a(?i:b)c/" "a(?i:b)c" nil nil nil nil "ABC" nil nil nil) (866 "\"abC\" =~ /a(?i:b)c/" "a(?i:b)c" nil nil nil nil "abC" nil nil nil) (867 "\"aBC\" =~ /a(?i:b)c/" "a(?i:b)c" nil nil nil nil "aBC" nil nil nil) (868 "\"aBc\" =~ /a(?i:b)*c/" "a(?i:b)*c" nil nil nil nil "aBc" nil "aBc" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (869 "\"aBBc\" =~ /a(?i:b)*c/" "a(?i:b)*c" nil nil nil nil "aBBc" nil "aBBc" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (870 "\"aBC\" =~ /a(?i:b)*c/" "a(?i:b)*c" nil nil nil nil "aBC" nil nil nil) (871 "\"aBBC\" =~ /a(?i:b)*c/" "a(?i:b)*c" nil nil nil nil "aBBC" nil nil nil) (872 "\"abcd\" =~ /a(?=b(?i)c)\\w\\wd/" "a(?=b(?i)c)\\w\\wd" nil nil nil nil "abcd" nil "abcd" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (873 "\"abCd\" =~ /a(?=b(?i)c)\\w\\wd/" "a(?=b(?i)c)\\w\\wd" nil nil nil nil "abCd" nil "abCd" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (874 "\"aBCd\" =~ /a(?=b(?i)c)\\w\\wd/" "a(?=b(?i)c)\\w\\wd" nil nil nil nil "aBCd" nil nil nil) (875 "\"abcD\" =~ /a(?=b(?i)c)\\w\\wd/" "a(?=b(?i)c)\\w\\wd" nil nil nil nil "abcD" nil nil nil) (876 "\"more than million\" =~ /(?s-i:more.*than).*million/i" "(?s-i:more.*than).*million" t nil nil nil "more than million" nil "more than million" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (877 "\"more than MILLION\" =~ /(?s-i:more.*than).*million/i" "(?s-i:more.*than).*million" t nil nil nil "more than MILLION" nil "more than MILLION" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (878 "\"more \\n than Million\" =~ /(?s-i:more.*than).*million/i" "(?s-i:more.*than).*million" t nil nil nil "more than Million" nil "more than Million" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (879 "\"MORE THAN MILLION\" =~ /(?s-i:more.*than).*million/i" "(?s-i:more.*than).*million" t nil nil nil "MORE THAN MILLION" nil nil nil) (880 "\"more \\n than \\n million\" =~ /(?s-i:more.*than).*million/i" "(?s-i:more.*than).*million" t nil nil nil "more than million" nil nil nil) (881 "\"more than million\" =~ /(?:(?s-i)more.*than).*million/i" "(?:(?s-i)more.*than).*million" t nil nil nil "more than million" nil "more than million" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (882 "\"more than MILLION\" =~ /(?:(?s-i)more.*than).*million/i" "(?:(?s-i)more.*than).*million" t nil nil nil "more than MILLION" nil "more than MILLION" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (883 "\"more \\n than Million\" =~ /(?:(?s-i)more.*than).*million/i" "(?:(?s-i)more.*than).*million" t nil nil nil "more than Million" nil "more than Million" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (884 "\"MORE THAN MILLION\" =~ /(?:(?s-i)more.*than).*million/i" "(?:(?s-i)more.*than).*million" t nil nil nil "MORE THAN MILLION" nil nil nil) (885 "\"more \\n than \\n million\" =~ /(?:(?s-i)more.*than).*million/i" "(?:(?s-i)more.*than).*million" t nil nil nil "more than million" nil nil nil) (886 "\"abc\" =~ /(?>a(?i)b+)+c/" "(?>a(?i)b+)+c" nil nil nil nil "abc" nil "abc" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (887 "\"aBbc\" =~ /(?>a(?i)b+)+c/" "(?>a(?i)b+)+c" nil nil nil nil "aBbc" nil "aBbc" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (888 "\"aBBc\" =~ /(?>a(?i)b+)+c/" "(?>a(?i)b+)+c" nil nil nil nil "aBBc" nil "aBBc" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (889 "\"Abc\" =~ /(?>a(?i)b+)+c/" "(?>a(?i)b+)+c" nil nil nil nil "Abc" nil nil nil) (890 "\"abAb\" =~ /(?>a(?i)b+)+c/" "(?>a(?i)b+)+c" nil nil nil nil "abAb" nil nil nil) (891 "\"abbC\" =~ /(?>a(?i)b+)+c/" "(?>a(?i)b+)+c" nil nil nil nil "abbC" nil nil nil) (892 "\"abc\" =~ /(?=a(?i)b)\\w\\wc/" "(?=a(?i)b)\\w\\wc" nil nil nil nil "abc" nil "abc" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (893 "\"aBc\" =~ /(?=a(?i)b)\\w\\wc/" "(?=a(?i)b)\\w\\wc" nil nil nil nil "aBc" nil "aBc" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (894 "\"Ab\" =~ /(?=a(?i)b)\\w\\wc/" "(?=a(?i)b)\\w\\wc" nil nil nil nil "Ab" nil nil nil) (895 "\"abC\" =~ /(?=a(?i)b)\\w\\wc/" "(?=a(?i)b)\\w\\wc" nil nil nil nil "abC" nil nil nil) (896 "\"aBC\" =~ /(?=a(?i)b)\\w\\wc/" "(?=a(?i)b)\\w\\wc" nil nil nil nil "aBC" nil nil nil) (897 "\"abxxc\" =~ /(?<=a(?i)b)(\\w\\w)c/" "(?<=a(?i)b)(\\w\\w)c" nil nil nil nil "abxxc" nil "xxc" ("xx" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (898 "\"aBxxc\" =~ /(?<=a(?i)b)(\\w\\w)c/" "(?<=a(?i)b)(\\w\\w)c" nil nil nil nil "aBxxc" nil "xxc" ("xx" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (899 "\"Abxxc\" =~ /(?<=a(?i)b)(\\w\\w)c/" "(?<=a(?i)b)(\\w\\w)c" nil nil nil nil "Abxxc" nil nil nil) (900 "\"ABxxc\" =~ /(?<=a(?i)b)(\\w\\w)c/" "(?<=a(?i)b)(\\w\\w)c" nil nil nil nil "ABxxc" nil nil nil) (901 "\"abxxC\" =~ /(?<=a(?i)b)(\\w\\w)c/" "(?<=a(?i)b)(\\w\\w)c" nil nil nil nil "abxxC" nil nil nil) (902 "\"aA\" =~ /(?:(a)|b)(?(1)A|B)/" "(?:(a)|b)(?(1)A|B)" nil nil nil nil "aA" nil "aA" ("a" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (903 "\"bB\" =~ /(?:(a)|b)(?(1)A|B)/" "(?:(a)|b)(?(1)A|B)" nil nil nil nil "bB" nil "bB" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (904 "\"aB\" =~ /(?:(a)|b)(?(1)A|B)/" "(?:(a)|b)(?(1)A|B)" nil nil nil nil "aB" nil nil nil) (905 "\"bA\" =~ /(?:(a)|b)(?(1)A|B)/" "(?:(a)|b)(?(1)A|B)" nil nil nil nil "bA" nil nil nil) (906 "\"aa\" =~ /^(a)?(?(1)a|b)+$/" "^(a)?(?(1)a|b)+$" nil nil nil nil "aa" nil "aa" ("a" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (907 "\"b\" =~ /^(a)?(?(1)a|b)+$/" "^(a)?(?(1)a|b)+$" nil nil nil nil "b" nil "b" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (908 "\"bb\" =~ /^(a)?(?(1)a|b)+$/" "^(a)?(?(1)a|b)+$" nil nil nil nil "bb" nil "bb" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (909 "\"ab\" =~ /^(a)?(?(1)a|b)+$/" "^(a)?(?(1)a|b)+$" nil nil nil nil "ab" nil nil nil) (910 "\"abc:\" =~ /^(?(?=abc)\\w{3}:|\\d\\d)$/" "^(?(?=abc)\\w{3}:|\\d\\d)$" nil nil nil nil "abc:" nil "abc:" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (911 "\"12\" =~ /^(?(?=abc)\\w{3}:|\\d\\d)$/" "^(?(?=abc)\\w{3}:|\\d\\d)$" nil nil nil nil "12" nil "12" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (912 "\"123\" =~ /^(?(?=abc)\\w{3}:|\\d\\d)$/" "^(?(?=abc)\\w{3}:|\\d\\d)$" nil nil nil nil "123" nil nil nil) (913 "\"xyz\" =~ /^(?(?=abc)\\w{3}:|\\d\\d)$/" "^(?(?=abc)\\w{3}:|\\d\\d)$" nil nil nil nil "xyz" nil nil nil) (914 "\"abc:\" =~ /^(?(?!abc)\\d\\d|\\w{3}:)$/" "^(?(?!abc)\\d\\d|\\w{3}:)$" nil nil nil nil "abc:" nil "abc:" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (915 "\"12\" =~ /^(?(?!abc)\\d\\d|\\w{3}:)$/" "^(?(?!abc)\\d\\d|\\w{3}:)$" nil nil nil nil "12" nil "12" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (916 "\"123\" =~ /^(?(?!abc)\\d\\d|\\w{3}:)$/" "^(?(?!abc)\\d\\d|\\w{3}:)$" nil nil nil nil "123" nil nil nil) (917 "\"xyz\" =~ /^(?(?!abc)\\d\\d|\\w{3}:)$/" "^(?(?!abc)\\d\\d|\\w{3}:)$" nil nil nil nil "xyz" nil nil nil) (918 "\"foobar\" =~ /(?(?<=foo)bar|cat)/" "(?(?<=foo)bar|cat)" nil nil nil nil "foobar" nil "bar" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (919 "\"cat\" =~ /(?(?<=foo)bar|cat)/" "(?(?<=foo)bar|cat)" nil nil nil nil "cat" nil "cat" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (920 "\"fcat\" =~ /(?(?<=foo)bar|cat)/" "(?(?<=foo)bar|cat)" nil nil nil nil "fcat" nil "cat" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (921 "\"focat\" =~ /(?(?<=foo)bar|cat)/" "(?(?<=foo)bar|cat)" nil nil nil nil "focat" nil "cat" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (922 "\"foocat\" =~ /(?(?<=foo)bar|cat)/" "(?(?<=foo)bar|cat)" nil nil nil nil "foocat" nil nil nil) (923 "\"foobar\" =~ /(?(?a*)*/" "(?>a*)*" nil nil nil nil "a" nil "a" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (955 "\"aa\" =~ /(?>a*)*/" "(?>a*)*" nil nil nil nil "aa" nil "aa" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (956 "\"aaaa\" =~ /(?>a*)*/" "(?>a*)*" nil nil nil nil "aaaa" nil "aaaa" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (957 "\"abc\" =~ /(abc|)+/" "(abc|)+" nil nil nil nil "abc" nil "abc" ("" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (958 "\"abcabc\" =~ /(abc|)+/" "(abc|)+" nil nil nil nil "abcabc" nil "abcabc" ("" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (959 "\"abcabcabc\" =~ /(abc|)+/" "(abc|)+" nil nil nil nil "abcabcabc" nil "abcabcabc" ("" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (960 "\"xyz\" =~ /(abc|)+/" "(abc|)+" nil nil nil nil "xyz" nil "" ("" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (961 "\"a\" =~ /([a]*)*/" "([a]*)*" nil nil nil nil "a" nil "a" ("" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (962 "\"aaaaa\" =~ /([a]*)*/" "([a]*)*" nil nil nil nil "aaaaa" nil "aaaaa" ("" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (963 "\"a\" =~ /([ab]*)*/" "([ab]*)*" nil nil nil nil "a" nil "a" ("" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (964 "\"b\" =~ /([ab]*)*/" "([ab]*)*" nil nil nil nil "b" nil "b" ("" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (965 "\"ababab\" =~ /([ab]*)*/" "([ab]*)*" nil nil nil nil "ababab" nil "ababab" ("" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (966 "\"aaaabcde\" =~ /([ab]*)*/" "([ab]*)*" nil nil nil nil "aaaabcde" nil "aaaab" ("" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (967 "\"bbbb\" =~ /([ab]*)*/" "([ab]*)*" nil nil nil nil "bbbb" nil "bbbb" ("" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (968 "\"b\" =~ /([^a]*)*/" "([^a]*)*" nil nil nil nil "b" nil "b" ("" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (969 "\"bbbb\" =~ /([^a]*)*/" "([^a]*)*" nil nil nil nil "bbbb" nil "bbbb" ("" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (970 "\"aaa\" =~ /([^a]*)*/" "([^a]*)*" nil nil nil nil "aaa" nil "" ("" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (971 "\"cccc\" =~ /([^ab]*)*/" "([^ab]*)*" nil nil nil nil "cccc" nil "cccc" ("" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (972 "\"abab\" =~ /([^ab]*)*/" "([^ab]*)*" nil nil nil nil "abab" nil "" ("" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (973 "\"a\" =~ /([a]*?)*/" "([a]*?)*" nil nil nil nil "a" nil "" ("" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (974 "\"aaaa\" =~ /([a]*?)*/" "([a]*?)*" nil nil nil nil "aaaa" nil "" ("" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (975 "\"a\" =~ /([ab]*?)*/" "([ab]*?)*" nil nil nil nil "a" nil "" ("" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (976 "\"b\" =~ /([ab]*?)*/" "([ab]*?)*" nil nil nil nil "b" nil "" ("" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (977 "\"abab\" =~ /([ab]*?)*/" "([ab]*?)*" nil nil nil nil "abab" nil "" ("" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (978 "\"baba\" =~ /([ab]*?)*/" "([ab]*?)*" nil nil nil nil "baba" nil "" ("" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (979 "\"b\" =~ /([^a]*?)*/" "([^a]*?)*" nil nil nil nil "b" nil "" ("" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (980 "\"bbbb\" =~ /([^a]*?)*/" "([^a]*?)*" nil nil nil nil "bbbb" nil "" ("" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (981 "\"aaa\" =~ /([^a]*?)*/" "([^a]*?)*" nil nil nil nil "aaa" nil "" ("" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (982 "\"c\" =~ /([^ab]*?)*/" "([^ab]*?)*" nil nil nil nil "c" nil "" ("" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (983 "\"cccc\" =~ /([^ab]*?)*/" "([^ab]*?)*" nil nil nil nil "cccc" nil "" ("" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (984 "\"baba\" =~ /([^ab]*?)*/" "([^ab]*?)*" nil nil nil nil "baba" nil "" ("" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (985 "\"a\" =~ /(?>a*)*/" "(?>a*)*" nil nil nil nil "a" nil "a" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (986 "\"aaabcde\" =~ /(?>a*)*/" "(?>a*)*" nil nil nil nil "aaabcde" nil "aaa" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (987 "\"aaaaa\" =~ /((?>a*))*/" "((?>a*))*" nil nil nil nil "aaaaa" nil "aaaaa" ("" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (988 "\"aabbaa\" =~ /((?>a*))*/" "((?>a*))*" nil nil nil nil "aabbaa" nil "aa" ("" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (989 "\"aaaaa\" =~ /((?>a*?))*/" "((?>a*?))*" nil nil nil nil "aaaaa" nil "" ("" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (990 "\"aabbaa\" =~ /((?>a*?))*/" "((?>a*?))*" nil nil nil nil "aabbaa" nil "" ("" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (991 "\"12-sep-98\" =~ /(?(?=[^a-z]+[a-z]) \\d{2}-[a-z]{3}-\\d{2} | \\d{2}-\\d{2}-\\d{2} ) /x" "(?(?=[^a-z]+[a-z]) \\d{2}-[a-z]{3}-\\d{2} | \\d{2}-\\d{2}-\\d{2} ) " nil nil nil t "12-sep-98" nil "12-sep-98" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (992 "\"12-09-98\" =~ /(?(?=[^a-z]+[a-z]) \\d{2}-[a-z]{3}-\\d{2} | \\d{2}-\\d{2}-\\d{2} ) /x" "(?(?=[^a-z]+[a-z]) \\d{2}-[a-z]{3}-\\d{2} | \\d{2}-\\d{2}-\\d{2} ) " nil nil nil t "12-09-98" nil "12-09-98" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (993 "\"sep-12-98\" =~ /(?(?=[^a-z]+[a-z]) \\d{2}-[a-z]{3}-\\d{2} | \\d{2}-\\d{2}-\\d{2} ) /x" "(?(?=[^a-z]+[a-z]) \\d{2}-[a-z]{3}-\\d{2} | \\d{2}-\\d{2}-\\d{2} ) " nil nil nil t "sep-12-98" nil nil nil) (994 "\"foobarfoo\" =~ /(?<=(foo))bar\\1/" "(?<=(foo))bar\\1" nil nil nil nil "foobarfoo" nil "barfoo" ("foo" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (995 "\"foobarfootling\" =~ /(?<=(foo))bar\\1/" "(?<=(foo))bar\\1" nil nil nil nil "foobarfootling" nil "barfoo" ("foo" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (996 "\"foobar\" =~ /(?<=(foo))bar\\1/" "(?<=(foo))bar\\1" nil nil nil nil "foobar" nil nil nil) (997 "\"barfoo\" =~ /(?<=(foo))bar\\1/" "(?<=(foo))bar\\1" nil nil nil nil "barfoo" nil nil nil) (998 "\"saturday\" =~ /(?i:saturday|sunday)/" "(?i:saturday|sunday)" nil nil nil nil "saturday" nil "saturday" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (999 "\"sunday\" =~ /(?i:saturday|sunday)/" "(?i:saturday|sunday)" nil nil nil nil "sunday" nil "sunday" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (1000 "\"Saturday\" =~ /(?i:saturday|sunday)/" "(?i:saturday|sunday)" nil nil nil nil "Saturday" nil "Saturday" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (1001 "\"Sunday\" =~ /(?i:saturday|sunday)/" "(?i:saturday|sunday)" nil nil nil nil "Sunday" nil "Sunday" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (1002 "\"SATURDAY\" =~ /(?i:saturday|sunday)/" "(?i:saturday|sunday)" nil nil nil nil "SATURDAY" nil "SATURDAY" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (1003 "\"SUNDAY\" =~ /(?i:saturday|sunday)/" "(?i:saturday|sunday)" nil nil nil nil "SUNDAY" nil "SUNDAY" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (1004 "\"SunDay\" =~ /(?i:saturday|sunday)/" "(?i:saturday|sunday)" nil nil nil nil "SunDay" nil "SunDay" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (1005 "\"abcx\" =~ /(a(?i)bc|BB)x/" "(a(?i)bc|BB)x" nil nil nil nil "abcx" nil "abcx" ("abc" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (1006 "\"aBCx\" =~ /(a(?i)bc|BB)x/" "(a(?i)bc|BB)x" nil nil nil nil "aBCx" nil "aBCx" ("aBC" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (1007 "\"bbx\" =~ /(a(?i)bc|BB)x/" "(a(?i)bc|BB)x" nil nil nil nil "bbx" nil "bbx" ("bb" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (1008 "\"BBx\" =~ /(a(?i)bc|BB)x/" "(a(?i)bc|BB)x" nil nil nil nil "BBx" nil "BBx" ("BB" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (1009 "\"abcX\" =~ /(a(?i)bc|BB)x/" "(a(?i)bc|BB)x" nil nil nil nil "abcX" nil nil nil) (1010 "\"aBCX\" =~ /(a(?i)bc|BB)x/" "(a(?i)bc|BB)x" nil nil nil nil "aBCX" nil nil nil) (1011 "\"bbX\" =~ /(a(?i)bc|BB)x/" "(a(?i)bc|BB)x" nil nil nil nil "bbX" nil nil nil) (1012 "\"BBX\" =~ /(a(?i)bc|BB)x/" "(a(?i)bc|BB)x" nil nil nil nil "BBX" nil nil nil) (1013 "\"ac\" =~ /^([ab](?i)[cd]|[ef])/" "^([ab](?i)[cd]|[ef])" nil nil nil nil "ac" nil "ac" ("ac" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (1014 "\"aC\" =~ /^([ab](?i)[cd]|[ef])/" "^([ab](?i)[cd]|[ef])" nil nil nil nil "aC" nil "aC" ("aC" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (1015 "\"bD\" =~ /^([ab](?i)[cd]|[ef])/" "^([ab](?i)[cd]|[ef])" nil nil nil nil "bD" nil "bD" ("bD" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (1016 "\"elephant\" =~ /^([ab](?i)[cd]|[ef])/" "^([ab](?i)[cd]|[ef])" nil nil nil nil "elephant" nil "e" ("e" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (1017 "\"Europe\" =~ /^([ab](?i)[cd]|[ef])/" "^([ab](?i)[cd]|[ef])" nil nil nil nil "Europe" nil "E" ("E" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (1018 "\"frog\" =~ /^([ab](?i)[cd]|[ef])/" "^([ab](?i)[cd]|[ef])" nil nil nil nil "frog" nil "f" ("f" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (1019 "\"France\" =~ /^([ab](?i)[cd]|[ef])/" "^([ab](?i)[cd]|[ef])" nil nil nil nil "France" nil "F" ("F" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (1020 "\"Africa\" =~ /^([ab](?i)[cd]|[ef])/" "^([ab](?i)[cd]|[ef])" nil nil nil nil "Africa" nil nil nil) (1021 "\"ab\" =~ /^(ab|a(?i)[b-c](?m-i)d|x(?i)y|z)/" "^(ab|a(?i)[b-c](?m-i)d|x(?i)y|z)" nil nil nil nil "ab" nil "ab" ("ab" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (1022 "\"aBd\" =~ /^(ab|a(?i)[b-c](?m-i)d|x(?i)y|z)/" "^(ab|a(?i)[b-c](?m-i)d|x(?i)y|z)" nil nil nil nil "aBd" nil "aBd" ("aBd" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (1023 "\"xy\" =~ /^(ab|a(?i)[b-c](?m-i)d|x(?i)y|z)/" "^(ab|a(?i)[b-c](?m-i)d|x(?i)y|z)" nil nil nil nil "xy" nil "xy" ("xy" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (1024 "\"xY\" =~ /^(ab|a(?i)[b-c](?m-i)d|x(?i)y|z)/" "^(ab|a(?i)[b-c](?m-i)d|x(?i)y|z)" nil nil nil nil "xY" nil "xY" ("xY" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (1025 "\"zebra\" =~ /^(ab|a(?i)[b-c](?m-i)d|x(?i)y|z)/" "^(ab|a(?i)[b-c](?m-i)d|x(?i)y|z)" nil nil nil nil "zebra" nil "z" ("z" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (1026 "\"Zambesi\" =~ /^(ab|a(?i)[b-c](?m-i)d|x(?i)y|z)/" "^(ab|a(?i)[b-c](?m-i)d|x(?i)y|z)" nil nil nil nil "Zambesi" nil "Z" ("Z" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (1027 "\"aCD\" =~ /^(ab|a(?i)[b-c](?m-i)d|x(?i)y|z)/" "^(ab|a(?i)[b-c](?m-i)d|x(?i)y|z)" nil nil nil nil "aCD" nil nil nil) (1028 "\"XY\" =~ /^(ab|a(?i)[b-c](?m-i)d|x(?i)y|z)/" "^(ab|a(?i)[b-c](?m-i)d|x(?i)y|z)" nil nil nil nil "XY" nil nil nil) (1029 "\"foo\\nbar\" =~ /(?<=foo\\n)^bar/m" "(?<=foo\\n)^bar" nil t nil nil "foo bar" nil "bar" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (1030 "\"bar\" =~ /(?<=foo\\n)^bar/m" "(?<=foo\\n)^bar" nil t nil nil "bar" nil nil nil) (1031 "\"baz\\nbar\" =~ /(?<=foo\\n)^bar/m" "(?<=foo\\n)^bar" nil t nil nil "baz bar" nil nil nil) (1032 "\"barbaz\" =~ /(?<=(?]&/" "^[<>]&" nil nil nil nil "<&OUT" nil "<&" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (1369 "\"aaaaaaaaaa\" =~ /^(a\\1?){4}$/" "^(a\\1?){4}$" nil nil nil nil "aaaaaaaaaa" nil "aaaaaaaaaa" ("aaaa" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (1370 "\"AB\" =~ /^(a\\1?){4}$/" "^(a\\1?){4}$" nil nil nil nil "AB" nil nil nil) (1371 "\"aaaaaaaaa\" =~ /^(a\\1?){4}$/" "^(a\\1?){4}$" nil nil nil nil "aaaaaaaaa" nil nil nil) (1372 "\"aaaaaaaaaaa\" =~ /^(a\\1?){4}$/" "^(a\\1?){4}$" nil nil nil nil "aaaaaaaaaaa" nil nil nil) (1373 "\"aaaaaaaaaa\" =~ /^(a(?(1)\\1)){4}$/" "^(a(?(1)\\1)){4}$" nil nil nil nil "aaaaaaaaaa" nil "aaaaaaaaaa" ("aaaa" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (1374 "\"aaaaaaaaa\" =~ /^(a(?(1)\\1)){4}$/" "^(a(?(1)\\1)){4}$" nil nil nil nil "aaaaaaaaa" nil nil nil) (1375 "\"aaaaaaaaaaa\" =~ /^(a(?(1)\\1)){4}$/" "^(a(?(1)\\1)){4}$" nil nil nil nil "aaaaaaaaaaa" nil nil nil) (1376 "\"foobar\" =~ /(?:(f)(o)(o)|(b)(a)(r))*/" "(?:(f)(o)(o)|(b)(a)(r))*" nil nil nil nil "foobar" nil "foobar" ("f" "o" "o" "b" "a" "r" nil nil nil nil nil nil nil nil nil nil)) (1377 "\"ab\" =~ /(?<=a)b/" "(?<=a)b" nil nil nil nil "ab" nil "b" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (1378 "\"cb\" =~ /(?<=a)b/" "(?<=a)b" nil nil nil nil "cb" nil nil nil) (1379 "\"b\" =~ /(?<=a)b/" "(?<=a)b" nil nil nil nil "b" nil nil nil) (1380 "\"ab\" =~ /(?a+)b/" "(?>a+)b" nil nil nil nil "aaab" nil "aaab" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (1491 "\"a:[b]:\" =~ /([[:]+)/" "([[:]+)" nil nil nil nil "a:[b]:" nil ":[" (":[" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (1492 "\"a=[b]=\" =~ /([[=]+)/" "([[=]+)" nil nil nil nil "a=[b]=" nil "=[" ("=[" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (1493 "\"a.[b].\" =~ /([[.]+)/" "([[.]+)" nil nil nil nil "a.[b]." nil ".[" (".[" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (1494 "\"aaab\" =~ /((?>a+)b)/" "((?>a+)b)" nil nil nil nil "aaab" nil "aaab" ("aaab" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (1495 "\"aaab\" =~ /(?>(a+))b/" "(?>(a+))b" nil nil nil nil "aaab" nil "aaab" ("aaa" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (1496 "\"((abc(ade)ufh()()x\" =~ /((?>[^()]+)|\\([^()]*\\))+/" "((?>[^()]+)|\\([^()]*\\))+" nil nil nil nil "((abc(ade)ufh()()x" nil "abc(ade)ufh()()x" ("x" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (1497 "\"aaab\" =~ /a\\Z/" "a\\Z" nil nil nil nil "aaab" nil nil nil) (1498 "\"a\\nb\\n\" =~ /a\\Z/" "a\\Z" nil nil nil nil "a b " nil nil nil) (1499 "\"a\\nb\\n\" =~ /b\\Z/" "b\\Z" nil nil nil nil "a b " nil "b" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (1500 "\"a\\nb\" =~ /b\\Z/" "b\\Z" nil nil nil nil "a b" nil "b" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (1501 "\"a\\nb\" =~ /b\\z/" "b\\z" nil nil nil nil "a b" nil "b" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (1502 "\"a\" =~ /^(?>(?(1)\\.|())[^\\W_](?>[a-z0-9-]*[^\\W_])?)+$/" "^(?>(?(1)\\.|())[^\\W_](?>[a-z0-9-]*[^\\W_])?)+$" nil nil nil nil "a" nil "a" ("" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (1503 "\"abc\" =~ /^(?>(?(1)\\.|())[^\\W_](?>[a-z0-9-]*[^\\W_])?)+$/" "^(?>(?(1)\\.|())[^\\W_](?>[a-z0-9-]*[^\\W_])?)+$" nil nil nil nil "abc" nil "abc" ("" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (1504 "\"a-b\" =~ /^(?>(?(1)\\.|())[^\\W_](?>[a-z0-9-]*[^\\W_])?)+$/" "^(?>(?(1)\\.|())[^\\W_](?>[a-z0-9-]*[^\\W_])?)+$" nil nil nil nil "a-b" nil "a-b" ("" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (1505 "\"0-9\" =~ /^(?>(?(1)\\.|())[^\\W_](?>[a-z0-9-]*[^\\W_])?)+$/" "^(?>(?(1)\\.|())[^\\W_](?>[a-z0-9-]*[^\\W_])?)+$" nil nil nil nil "0-9" nil "0-9" ("" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (1506 "\"a.b\" =~ /^(?>(?(1)\\.|())[^\\W_](?>[a-z0-9-]*[^\\W_])?)+$/" "^(?>(?(1)\\.|())[^\\W_](?>[a-z0-9-]*[^\\W_])?)+$" nil nil nil nil "a.b" nil "a.b" ("" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (1507 "\"5.6.7\" =~ /^(?>(?(1)\\.|())[^\\W_](?>[a-z0-9-]*[^\\W_])?)+$/" "^(?>(?(1)\\.|())[^\\W_](?>[a-z0-9-]*[^\\W_])?)+$" nil nil nil nil "5.6.7" nil "5.6.7" ("" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (1508 "\"the.quick.brown.fox\" =~ /^(?>(?(1)\\.|())[^\\W_](?>[a-z0-9-]*[^\\W_])?)+$/" "^(?>(?(1)\\.|())[^\\W_](?>[a-z0-9-]*[^\\W_])?)+$" nil nil nil nil "the.quick.brown.fox" nil "the.quick.brown.fox" ("" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (1509 "\"a100.b200.300c\" =~ /^(?>(?(1)\\.|())[^\\W_](?>[a-z0-9-]*[^\\W_])?)+$/" "^(?>(?(1)\\.|())[^\\W_](?>[a-z0-9-]*[^\\W_])?)+$" nil nil nil nil "a100.b200.300c" nil "a100.b200.300c" ("" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (1510 "\"12-ab.1245\" =~ /^(?>(?(1)\\.|())[^\\W_](?>[a-z0-9-]*[^\\W_])?)+$/" "^(?>(?(1)\\.|())[^\\W_](?>[a-z0-9-]*[^\\W_])?)+$" nil nil nil nil "12-ab.1245" nil "12-ab.1245" ("" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (1511 "\"\\\" =~ /^(?>(?(1)\\.|())[^\\W_](?>[a-z0-9-]*[^\\W_])?)+$/" "^(?>(?(1)\\.|())[^\\W_](?>[a-z0-9-]*[^\\W_])?)+$" nil nil nil nil "" nil nil nil) (1512 "\".a\" =~ /^(?>(?(1)\\.|())[^\\W_](?>[a-z0-9-]*[^\\W_])?)+$/" "^(?>(?(1)\\.|())[^\\W_](?>[a-z0-9-]*[^\\W_])?)+$" nil nil nil nil ".a" nil nil nil) (1513 "\"-a\" =~ /^(?>(?(1)\\.|())[^\\W_](?>[a-z0-9-]*[^\\W_])?)+$/" "^(?>(?(1)\\.|())[^\\W_](?>[a-z0-9-]*[^\\W_])?)+$" nil nil nil nil "-a" nil nil nil) (1514 "\"a-\" =~ /^(?>(?(1)\\.|())[^\\W_](?>[a-z0-9-]*[^\\W_])?)+$/" "^(?>(?(1)\\.|())[^\\W_](?>[a-z0-9-]*[^\\W_])?)+$" nil nil nil nil "a-" nil nil nil) (1515 "\"a.\" =~ /^(?>(?(1)\\.|())[^\\W_](?>[a-z0-9-]*[^\\W_])?)+$/" "^(?>(?(1)\\.|())[^\\W_](?>[a-z0-9-]*[^\\W_])?)+$" nil nil nil nil "a." nil nil nil) (1516 "\"a_b\" =~ /^(?>(?(1)\\.|())[^\\W_](?>[a-z0-9-]*[^\\W_])?)+$/" "^(?>(?(1)\\.|())[^\\W_](?>[a-z0-9-]*[^\\W_])?)+$" nil nil nil nil "a_b" nil nil nil) (1517 "\"a.-\" =~ /^(?>(?(1)\\.|())[^\\W_](?>[a-z0-9-]*[^\\W_])?)+$/" "^(?>(?(1)\\.|())[^\\W_](?>[a-z0-9-]*[^\\W_])?)+$" nil nil nil nil "a.-" nil nil nil) (1518 "\"a..\" =~ /^(?>(?(1)\\.|())[^\\W_](?>[a-z0-9-]*[^\\W_])?)+$/" "^(?>(?(1)\\.|())[^\\W_](?>[a-z0-9-]*[^\\W_])?)+$" nil nil nil nil "a.." nil nil nil) (1519 "\"ab..bc\" =~ /^(?>(?(1)\\.|())[^\\W_](?>[a-z0-9-]*[^\\W_])?)+$/" "^(?>(?(1)\\.|())[^\\W_](?>[a-z0-9-]*[^\\W_])?)+$" nil nil nil nil "ab..bc" nil nil nil) (1520 "\"the.quick.brown.fox-\" =~ /^(?>(?(1)\\.|())[^\\W_](?>[a-z0-9-]*[^\\W_])?)+$/" "^(?>(?(1)\\.|())[^\\W_](?>[a-z0-9-]*[^\\W_])?)+$" nil nil nil nil "the.quick.brown.fox-" nil nil nil) (1521 "\"the.quick.brown.fox.\" =~ /^(?>(?(1)\\.|())[^\\W_](?>[a-z0-9-]*[^\\W_])?)+$/" "^(?>(?(1)\\.|())[^\\W_](?>[a-z0-9-]*[^\\W_])?)+$" nil nil nil nil "the.quick.brown.fox." nil nil nil) (1522 "\"the.quick.brown.fox_\" =~ /^(?>(?(1)\\.|())[^\\W_](?>[a-z0-9-]*[^\\W_])?)+$/" "^(?>(?(1)\\.|())[^\\W_](?>[a-z0-9-]*[^\\W_])?)+$" nil nil nil nil "the.quick.brown.fox_" nil nil nil) (1523 "\"the.quick.brown.fox+\" =~ /^(?>(?(1)\\.|())[^\\W_](?>[a-z0-9-]*[^\\W_])?)+$/" "^(?>(?(1)\\.|())[^\\W_](?>[a-z0-9-]*[^\\W_])?)+$" nil nil nil nil "the.quick.brown.fox+" nil nil nil) (1524 "\"alphabetabcd\" =~ /(?>.*)(?<=(abcd|wxyz))/" "(?>.*)(?<=(abcd|wxyz))" nil nil nil nil "alphabetabcd" nil "alphabetabcd" ("abcd" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (1525 "\"endingwxyz\" =~ /(?>.*)(?<=(abcd|wxyz))/" "(?>.*)(?<=(abcd|wxyz))" nil nil nil nil "endingwxyz" nil "endingwxyz" ("wxyz" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (1526 "\"a rather long string that doesn't end with one of them\" =~ /(?>.*)(?<=(abcd|wxyz))/" "(?>.*)(?<=(abcd|wxyz))" nil nil nil nil "a rather long string that doesn't end with one of them" nil nil nil) (1527 "\"word cat dog elephant mussel cow horse canary baboon snake shark otherword\" =~ /word (?>(?:(?!otherword)[a-zA-Z0-9]+ ){0,30})otherword/" "word (?>(?:(?!otherword)[a-zA-Z0-9]+ ){0,30})otherword" nil nil nil nil "word cat dog elephant mussel cow horse canary baboon snake shark otherword" nil "word cat dog elephant mussel cow horse canary baboon snake shark otherword" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (1528 "\"word cat dog elephant mussel cow horse canary baboon snake shark\" =~ /word (?>(?:(?!otherword)[a-zA-Z0-9]+ ){0,30})otherword/" "word (?>(?:(?!otherword)[a-zA-Z0-9]+ ){0,30})otherword" nil nil nil nil "word cat dog elephant mussel cow horse canary baboon snake shark" nil nil nil) (1529 "\"word cat dog elephant mussel cow horse canary baboon snake shark the quick brown fox and the lazy dog and several other words getting close to thirty by now I hope\" =~ /word (?>[a-zA-Z0-9]+ ){0,30}otherword/" "word (?>[a-zA-Z0-9]+ ){0,30}otherword" nil nil nil nil "word cat dog elephant mussel cow horse canary baboon snake shark the quick brown fox and the lazy dog and several other words getting close to thirty by now I hope" nil nil nil) (1530 "\"999foo\" =~ /(?<=\\d{3}(?!999))foo/" "(?<=\\d{3}(?!999))foo" nil nil nil nil "999foo" nil "foo" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (1531 "\"123999foo\" =~ /(?<=\\d{3}(?!999))foo/" "(?<=\\d{3}(?!999))foo" nil nil nil nil "123999foo" nil "foo" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (1532 "\"123abcfoo\" =~ /(?<=\\d{3}(?!999))foo/" "(?<=\\d{3}(?!999))foo" nil nil nil nil "123abcfoo" nil nil nil) (1533 "\"999foo\" =~ /(?<=(?!...999)\\d{3})foo/" "(?<=(?!...999)\\d{3})foo" nil nil nil nil "999foo" nil "foo" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (1534 "\"123999foo\" =~ /(?<=(?!...999)\\d{3})foo/" "(?<=(?!...999)\\d{3})foo" nil nil nil nil "123999foo" nil "foo" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (1535 "\"123abcfoo\" =~ /(?<=(?!...999)\\d{3})foo/" "(?<=(?!...999)\\d{3})foo" nil nil nil nil "123abcfoo" nil nil nil) (1536 "\"123abcfoo\" =~ /(?<=\\d{3}(?!999)...)foo/" "(?<=\\d{3}(?!999)...)foo" nil nil nil nil "123abcfoo" nil "foo" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (1537 "\"123456foo\" =~ /(?<=\\d{3}(?!999)...)foo/" "(?<=\\d{3}(?!999)...)foo" nil nil nil nil "123456foo" nil "foo" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (1538 "\"123999foo\" =~ /(?<=\\d{3}(?!999)...)foo/" "(?<=\\d{3}(?!999)...)foo" nil nil nil nil "123999foo" nil nil nil) (1539 "\"123abcfoo\" =~ /(?<=\\d{3}...)(?\\s*)=(?>\\s*) # find \\s*)=(?>\\s*) # find \\s*)=(?>\\s*) # find \\s*)=(?>\\s*) # find \\s*)=(?>\\s*) # find \\s*)=(?>\\s*) # find Z)+|A)*/" "((?>Z)+|A)*" nil nil nil nil "ZABCDEFG" nil "ZA" ("A" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (1555 "\"ZABCDEFG\" =~ /((?>)+|A)*/" "((?>)+|A)*" nil nil nil nil "ZABCDEFG" nil "" ("" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (1556 "\"abbab\" =~ /a*/" "a*" nil nil nil nil "abbab" nil "a" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (1557 "\"abcde\" =~ /^[a-\\d]/" "^[a-\\d]" nil nil nil nil "abcde" nil "a" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (1558 "\"-things\" =~ /^[a-\\d]/" "^[a-\\d]" nil nil nil nil "-things" nil "-" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (1559 "\"0digit\" =~ /^[a-\\d]/" "^[a-\\d]" nil nil nil nil "0digit" nil "0" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (1560 "\"bcdef\" =~ /^[a-\\d]/" "^[a-\\d]" nil nil nil nil "bcdef" nil nil nil) (1561 "\"abcde\" =~ /^[\\d-a]/" "^[\\d-a]" nil nil nil nil "abcde" nil "a" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (1562 "\"-things\" =~ /^[\\d-a]/" "^[\\d-a]" nil nil nil nil "-things" nil "-" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (1563 "\"0digit\" =~ /^[\\d-a]/" "^[\\d-a]" nil nil nil nil "0digit" nil "0" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (1564 "\"bcdef\" =~ /^[\\d-a]/" "^[\\d-a]" nil nil nil nil "bcdef" nil nil nil) (1565 "\"abcdef\" =~ /(?<=abc).*(?=def)/" "(?<=abc).*(?=def)" nil nil nil nil "abcdef" nil "" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (1566 "\"abcxdef\" =~ /(?<=abc).*(?=def)/" "(?<=abc).*(?=def)" nil nil nil nil "abcxdef" nil "x" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (1567 "\"abcxdefxdef\" =~ /(?<=abc).*(?=def)/" "(?<=abc).*(?=def)" nil nil nil nil "abcxdefxdef" nil "xdefx" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (1568 "\"abcdef\" =~ /(?<=abc).*?(?=def)/" "(?<=abc).*?(?=def)" nil nil nil nil "abcdef" nil "" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (1569 "\"abcxdef\" =~ /(?<=abc).*?(?=def)/" "(?<=abc).*?(?=def)" nil nil nil nil "abcxdef" nil "x" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (1570 "\"abcxdefxdef\" =~ /(?<=abc).*?(?=def)/" "(?<=abc).*?(?=def)" nil nil nil nil "abcxdefxdef" nil "x" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (1571 "\"abcdef\" =~ /(?<=abc).+(?=def)/" "(?<=abc).+(?=def)" nil nil nil nil "abcdef" nil nil nil) (1572 "\"abcxdef\" =~ /(?<=abc).+(?=def)/" "(?<=abc).+(?=def)" nil nil nil nil "abcxdef" nil "x" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (1573 "\"abcxdefxdef\" =~ /(?<=abc).+(?=def)/" "(?<=abc).+(?=def)" nil nil nil nil "abcxdefxdef" nil "xdefx" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (1574 "\"abcdef\" =~ /(?<=abc).+?(?=def)/" "(?<=abc).+?(?=def)" nil nil nil nil "abcdef" nil nil nil) (1575 "\"abcxdef\" =~ /(?<=abc).+?(?=def)/" "(?<=abc).+?(?=def)" nil nil nil nil "abcxdef" nil "x" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (1576 "\"abcxdefxdef\" =~ /(?<=abc).+?(?=def)/" "(?<=abc).+?(?=def)" nil nil nil nil "abcxdefxdef" nil "x" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (1577 "\"-abcdef\" =~ /(?<=\\b)(.*)/" "(?<=\\b)(.*)" nil nil nil nil "-abcdef" nil "abcdef" ("abcdef" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (1578 "\"abcdef\" =~ /(?<=\\b)(.*)/" "(?<=\\b)(.*)" nil nil nil nil "abcdef" nil "abcdef" ("abcdef" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (1579 "\"-abcdef\" =~ /(?<=\\B)(.*)/" "(?<=\\B)(.*)" nil nil nil nil "-abcdef" nil "-abcdef" ("-abcdef" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (1580 "\"abcdef\" =~ /(?<=\\B)(.*)/" "(?<=\\B)(.*)" nil nil nil nil "abcdef" nil "bcdef" ("bcdef" nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (1581 "\"'a'\" =~ /^'[ab]'/" "^'[ab]'" nil nil nil nil "'a'" nil "'a'" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (1582 "\"'b'\" =~ /^'[ab]'/" "^'[ab]'" nil nil nil nil "'b'" nil "'b'" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (1583 "\"x'a'\" =~ /^'[ab]'/" "^'[ab]'" nil nil nil nil "x'a'" nil nil nil) (1584 "\"'a'x\" =~ /^'[ab]'/" "^'[ab]'" nil nil nil nil "'a'x" nil "'a'" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (1585 "\"'ab'\" =~ /^'[ab]'/" "^'[ab]'" nil nil nil nil "'ab'" nil nil nil) (1586 "\"'a'\" =~ /^'[ab]'$/" "^'[ab]'$" nil nil nil nil "'a'" nil "'a'" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (1587 "\"'b'\" =~ /^'[ab]'$/" "^'[ab]'$" nil nil nil nil "'b'" nil "'b'" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (1588 "\"x'a'\" =~ /^'[ab]'$/" "^'[ab]'$" nil nil nil nil "x'a'" nil nil nil) (1589 "\"'a'x\" =~ /^'[ab]'$/" "^'[ab]'$" nil nil nil nil "'a'x" nil nil nil) (1590 "\"'ab'\" =~ /^'[ab]'$/" "^'[ab]'$" nil nil nil nil "'ab'" nil nil nil) (1591 "\"'a'\" =~ /'[ab]'$/" "'[ab]'$" nil nil nil nil "'a'" nil "'a'" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (1592 "\"'b'\" =~ /'[ab]'$/" "'[ab]'$" nil nil nil nil "'b'" nil "'b'" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (1593 "\"x'a'\" =~ /'[ab]'$/" "'[ab]'$" nil nil nil nil "x'a'" nil "'a'" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (1594 "\"'a'x\" =~ /'[ab]'$/" "'[ab]'$" nil nil nil nil "'a'x" nil nil nil) (1595 "\"'ab'\" =~ /'[ab]'$/" "'[ab]'$" nil nil nil nil "'ab'" nil nil nil) (1596 "\"'a'\" =~ /'[ab]'/" "'[ab]'" nil nil nil nil "'a'" nil "'a'" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (1597 "\"'b'\" =~ /'[ab]'/" "'[ab]'" nil nil nil nil "'b'" nil "'b'" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (1598 "\"x'a'\" =~ /'[ab]'/" "'[ab]'" nil nil nil nil "x'a'" nil "'a'" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (1599 "\"'a'x\" =~ /'[ab]'/" "'[ab]'" nil nil nil nil "'a'x" nil "'a'" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (1600 "\"'ab'\" =~ /'[ab]'/" "'[ab]'" nil nil nil nil "'ab'" nil nil nil) (1601 "\"abc\" =~ /abc\\E/" "abc\\E" nil nil nil nil "abc" nil "abc" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (1602 "\"abcE\" =~ /abc\\E/" "abc\\E" nil nil nil nil "abcE" nil "abc" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (1603 "\"abcx\" =~ /abc[\\Ex]/" "abc[\\Ex]" nil nil nil nil "abcx" nil "abcx" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (1604 "\"abcE\" =~ /abc[\\Ex]/" "abc[\\Ex]" nil nil nil nil "abcE" nil nil nil) (1605 "\"a*\" =~ /^\\Qa*\\E$/" "^\\Qa*\\E$" nil nil nil nil "a*" nil "a*" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (1606 "\"a\" =~ /^\\Qa*\\E$/" "^\\Qa*\\E$" nil nil nil nil "a" nil nil nil) (1607 "\"a*x\" =~ /\\Qa*x\\E/" "\\Qa*x\\E" nil nil nil nil "a*x" nil "a*x" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (1608 "\"a*\" =~ /\\Qa*x\\E/" "\\Qa*x\\E" nil nil nil nil "a*" nil nil nil) (1609 "\"a*x\" =~ /\\Qa*x/" "\\Qa*x" nil nil nil nil "a*x" nil "a*x" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (1610 "\"a*\" =~ /\\Qa*x/" "\\Qa*x" nil nil nil nil "a*" nil nil nil) (1611 "\"a*x\" =~ /\\Q\\Qa*x\\E\\E/" "\\Q\\Qa*x\\E\\E" nil nil nil nil "a*x" nil nil nil) (1612 "\"a\\\\*x\" =~ /\\Q\\Qa*x\\E\\E/" "\\Q\\Qa*x\\E\\E" nil nil nil nil "a\\*x" nil "a\\*x" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (1613 "\"a*x\" =~ /\\Q\\Qa*x\\E/" "\\Q\\Qa*x\\E" nil nil nil nil "a*x" nil nil nil) (1614 "\"a\\\\*x\" =~ /\\Q\\Qa*x\\E/" "\\Q\\Qa*x\\E" nil nil nil nil "a\\*x" nil "a\\*x" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (1615 "\"a[x]\" =~ /a\\Q[x\\E]/" "a\\Q[x\\E]" nil nil nil nil "a[x]" nil "a[x]" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (1616 "\"ax\" =~ /a\\Q[x\\E]/" "a\\Q[x\\E]" nil nil nil nil "ax" nil nil nil) (1617 "\"a\" =~ /a#comment\\Q... {2}/x" "a#comment\\Q... {2}" nil nil nil t "a" nil nil nil) (1618 "\"aa\" =~ /a#comment\\Q... {2}/x" "a#comment\\Q... {2}" nil nil nil t "aa" nil "aa" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (1619 "\"a\" =~ /a(?#comment\\Q... ){2}/x" "a(?#comment\\Q... ){2}" nil nil nil t "a" nil nil nil) (1620 "\"aa\" =~ /a(?#comment\\Q... ){2}/x" "a(?#comment\\Q... ){2}" nil nil nil t "aa" nil "aa" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (1621 "\"a.\" =~ /(?x)a#\\Q ./" "(?x)a#\\Q ." nil nil nil nil "a." nil "a." (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (1622 "\"aa\" =~ /(?x)a#\\Q ./" "(?x)a#\\Q ." nil nil nil nil "aa" nil nil nil) (1623 "\"abcdxklqj\" =~ /ab(?=.*q)cd/" "ab(?=.*q)cd" nil nil nil nil "abcdxklqj" nil "abcd" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) (1624 "\"ab\" =~ /a(?!.*$)b/" "a(?!.*$)b" nil nil nil nil "ab" nil nil nil) (1625 "\"Axi\" =~ /.{2}[a-z]/" ".{2}[a-z]" nil nil nil nil "Axi" nil "Axi" (nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil)) cafeobj-1.5.4/cl-ppcre/test/perltestinput0000644000000000000000000021342712403660236017154 0ustar rootroot/the quick brown fox/ the quick brown fox The quick brown FOX What do you know about the quick brown fox? What do you know about THE QUICK BROWN FOX? /The quick brown fox/i the quick brown fox The quick brown FOX What do you know about the quick brown fox? What do you know about THE QUICK BROWN FOX? /abcd\t\n\r\f\a\e\071\x3b\$\\\?caxyz/ abcd\t\n\r\f\a\e9;\$\\?caxyz /a*abc?xyz+pqr{3}ab{2,}xy{4,5}pq{0,6}AB{0,}zz/ abxyzpqrrrabbxyyyypqAzz abxyzpqrrrabbxyyyypqAzz aabxyzpqrrrabbxyyyypqAzz aaabxyzpqrrrabbxyyyypqAzz aaaabxyzpqrrrabbxyyyypqAzz abcxyzpqrrrabbxyyyypqAzz aabcxyzpqrrrabbxyyyypqAzz aaabcxyzpqrrrabbxyyyypAzz aaabcxyzpqrrrabbxyyyypqAzz aaabcxyzpqrrrabbxyyyypqqAzz aaabcxyzpqrrrabbxyyyypqqqAzz aaabcxyzpqrrrabbxyyyypqqqqAzz aaabcxyzpqrrrabbxyyyypqqqqqAzz aaabcxyzpqrrrabbxyyyypqqqqqqAzz aaaabcxyzpqrrrabbxyyyypqAzz abxyzzpqrrrabbxyyyypqAzz aabxyzzzpqrrrabbxyyyypqAzz aaabxyzzzzpqrrrabbxyyyypqAzz aaaabxyzzzzpqrrrabbxyyyypqAzz abcxyzzpqrrrabbxyyyypqAzz aabcxyzzzpqrrrabbxyyyypqAzz aaabcxyzzzzpqrrrabbxyyyypqAzz aaaabcxyzzzzpqrrrabbxyyyypqAzz aaaabcxyzzzzpqrrrabbbxyyyypqAzz aaaabcxyzzzzpqrrrabbbxyyyyypqAzz aaabcxyzpqrrrabbxyyyypABzz aaabcxyzpqrrrabbxyyyypABBzz >>>aaabxyzpqrrrabbxyyyypqAzz >aaaabxyzpqrrrabbxyyyypqAzz >>>>abcxyzpqrrrabbxyyyypqAzz abxyzpqrrabbxyyyypqAzz abxyzpqrrrrabbxyyyypqAzz abxyzpqrrrabxyyyypqAzz aaaabcxyzzzzpqrrrabbbxyyyyyypqAzz aaaabcxyzzzzpqrrrabbbxyyypqAzz aaabcxyzpqrrrabbxyyyypqqqqqqqAzz /^(abc){1,2}zz/ abczz abcabczz zz abcabcabczz >>abczz /^(b+?|a){1,2}?c/ bc bbc bbbc bac bbac aac abbbbbbbbbbbc bbbbbbbbbbbac aaac abbbbbbbbbbbac /^(b+|a){1,2}c/ bc bbc bbbc bac bbac aac abbbbbbbbbbbc bbbbbbbbbbbac aaac abbbbbbbbbbbac /^(b+|a){1,2}?bc/ bbc /^(b*|ba){1,2}?bc/ babc bbabc bababc bababbc babababc /^(ba|b*){1,2}?bc/ babc bbabc bababc bababbc babababc /^\ca\cA\c[\c{\c:/ \x01\x01\e;z /^[ab\]cde]/ athing bthing ]thing cthing dthing ething fthing [thing \\thing /^[]cde]/ ]thing cthing dthing ething athing fthing /^[^ab\]cde]/ fthing [thing \\thing athing bthing ]thing cthing dthing ething /^[^]cde]/ athing fthing ]thing cthing dthing ething /^\/ /^ÿ/ ÿ /^[0-9]+$/ 0 1 2 3 4 5 6 7 8 9 10 100 abc /^.*nter/ enter inter uponter /^xxx[0-9]+$/ xxx0 xxx1234 xxx /^.+[0-9][0-9][0-9]$/ x123 xx123 123456 123 x1234 /^.+?[0-9][0-9][0-9]$/ x123 xx123 123456 123 x1234 /^([^!]+)!(.+)=apquxz\.ixr\.zzz\.ac\.uk$/ abc!pqr=apquxz.ixr.zzz.ac.uk !pqr=apquxz.ixr.zzz.ac.uk abc!=apquxz.ixr.zzz.ac.uk abc!pqr=apquxz:ixr.zzz.ac.uk abc!pqr=apquxz.ixr.zzz.ac.ukk /:/ Well, we need a colon: somewhere Fail if we don't /([\da-f:]+)$/i 0abc abc fed E :: 5f03:12C0::932e fed def Any old stuff 0zzz gzzz fed\x20 Any old rubbish /^.*\.(\d{1,3})\.(\d{1,3})\.(\d{1,3})$/ .1.2.3 A.12.123.0 .1.2.3333 1.2.3 1234.2.3 /^(\d+)\s+IN\s+SOA\s+(\S+)\s+(\S+)\s*\(\s*$/ 1 IN SOA non-sp1 non-sp2( 1 IN SOA non-sp1 non-sp2 ( 1IN SOA non-sp1 non-sp2( /^[a-zA-Z\d][a-zA-Z\d\-]*(\.[a-zA-Z\d][a-zA-z\d\-]*)*\.$/ a. Z. 2. ab-c.pq-r. sxk.zzz.ac.uk. x-.y-. -abc.peq. /^\*\.[a-z]([a-z\-\d]*[a-z\d]+)?(\.[a-z]([a-z\-\d]*[a-z\d]+)?)*$/ *.a *.b0-a *.c3-b.c *.c-a.b-c *.0 *.a- *.a-b.c- *.c-a.0-c /^(?=ab(de))(abd)(e)/ abde /^(?!(ab)de|x)(abd)(f)/ abdf /^(?=(ab(cd)))(ab)/ abcd /^[\da-f](\.[\da-f])*$/i a.b.c.d A.B.C.D a.b.c.1.2.3.C /^\".*\"\s*(;.*)?$/ \"1234\" \"abcd\" ; \"\" ; rhubarb \"1234\" : things /^$/ \ / ^ a (?# begins with a) b\sc (?# then b c) $ (?# then end)/x ab c abc ab cde /(?x) ^ a (?# begins with a) b\sc (?# then b c) $ (?# then end)/ ab c abc ab cde /^ a\ b[c ]d $/x a bcd a b d abcd ab d /^(a(b(c)))(d(e(f)))(h(i(j)))(k(l(m)))$/ abcdefhijklm /^(?:a(b(c)))(?:d(e(f)))(?:h(i(j)))(?:k(l(m)))$/ abcdefhijklm /^[\w][\W][\s][\S][\d][\D][\b][\n][\c]][\022]/ a+ Z0+\x08\n\x1d\x12 /^[.^$|()*+?{,}]+/ .^\$(*+)|{?,?} /^a*\w/ z az aaaz a aa aaaa a+ aa+ /^a*?\w/ z az aaaz a aa aaaa a+ aa+ /^a+\w/ az aaaz aa aaaa aa+ /^a+?\w/ az aaaz aa aaaa aa+ /^\d{8}\w{2,}/ 1234567890 12345678ab 12345678__ 1234567 /^[aeiou\d]{4,5}$/ uoie 1234 12345 aaaaa 123456 /^[aeiou\d]{4,5}?/ uoie 1234 12345 aaaaa 123456 /\A(abc|def)=(\1){2,3}\Z/ abc=abcabc def=defdefdef abc=defdef /^(a)(b)(c)(d)(e)(f)(g)(h)(i)(j)(k)\11*(\3\4)\1(?#)2$/ abcdefghijkcda2 abcdefghijkkkkcda2 /(cat(a(ract|tonic)|erpillar)) \1()2(3)/ cataract cataract23 catatonic catatonic23 caterpillar caterpillar23 /^From +([^ ]+) +[a-zA-Z][a-zA-Z][a-zA-Z] +[a-zA-Z][a-zA-Z][a-zA-Z] +[0-9]?[0-9] +[0-9][0-9]:[0-9][0-9]/ From abcd Mon Sep 01 12:33:02 1997 /^From\s+\S+\s+([a-zA-Z]{3}\s+){2}\d{1,2}\s+\d\d:\d\d/ From abcd Mon Sep 01 12:33:02 1997 From abcd Mon Sep 1 12:33:02 1997 From abcd Sep 01 12:33:02 1997 /^12.34/s 12\n34 12\r34 /\w+(?=\t)/ the quick brown\t fox /foo(?!bar)(.*)/ foobar is foolish see? /(?:(?!foo)...|^.{0,2})bar(.*)/ foobar crowbar etc barrel 2barrel A barrel /^(\D*)(?=\d)(?!123)/ abc456 abc123 /^1234(?# test newlines inside)/ 1234 /^1234 #comment in extended re /x 1234 /#rhubarb abcd/x abcd /^abcd#rhubarb/x abcd /^(a)\1{2,3}(.)/ aaab aaaab aaaaab aaaaaab /(?!^)abc/ the abc abc /(?=^)abc/ abc the abc /^[ab]{1,3}(ab*|b)/ aabbbbb /^[ab]{1,3}?(ab*|b)/ aabbbbb /^[ab]{1,3}?(ab*?|b)/ aabbbbb /^[ab]{1,3}(ab*?|b)/ aabbbbb / (?: [\040\t] | \( (?: [^\\\x80-\xff\n\015()] | \\ [^\x80-\xff] | \( (?: [^\\\x80-\xff\n\015()] | \\ [^\x80-\xff] )* \) )* \) )* # optional leading comment (?: (?: [^(\040)<>@,;:".\\\[\]\000-\037\x80-\xff]+ # some number of atom characters... (?![^(\040)<>@,;:".\\\[\]\000-\037\x80-\xff]) # ..not followed by something that could be part of an atom | " (?: # opening quote... [^\\\x80-\xff\n\015"] # Anything except backslash and quote | # or \\ [^\x80-\xff] # Escaped something (something != CR) )* " # closing quote ) # initial word (?: (?: [\040\t] | \( (?: [^\\\x80-\xff\n\015()] | \\ [^\x80-\xff] | \( (?: [^\\\x80-\xff\n\015()] | \\ [^\x80-\xff] )* \) )* \) )* \. (?: [\040\t] | \( (?: [^\\\x80-\xff\n\015()] | \\ [^\x80-\xff] | \( (?: [^\\\x80-\xff\n\015()] | \\ [^\x80-\xff] )* \) )* \) )* (?: [^(\040)<>@,;:".\\\[\]\000-\037\x80-\xff]+ # some number of atom characters... (?![^(\040)<>@,;:".\\\[\]\000-\037\x80-\xff]) # ..not followed by something that could be part of an atom | " (?: # opening quote... [^\\\x80-\xff\n\015"] # Anything except backslash and quote | # or \\ [^\x80-\xff] # Escaped something (something != CR) )* " # closing quote ) )* # further okay, if led by a period (?: [\040\t] | \( (?: [^\\\x80-\xff\n\015()] | \\ [^\x80-\xff] | \( (?: [^\\\x80-\xff\n\015()] | \\ [^\x80-\xff] )* \) )* \) )* @ (?: [\040\t] | \( (?: [^\\\x80-\xff\n\015()] | \\ [^\x80-\xff] | \( (?: [^\\\x80-\xff\n\015()] | \\ [^\x80-\xff] )* \) )* \) )* (?: [^(\040)<>@,;:".\\\[\]\000-\037\x80-\xff]+ # some number of atom characters... (?![^(\040)<>@,;:".\\\[\]\000-\037\x80-\xff]) # ..not followed by something that could be part of an atom | \[ # [ (?: [^\\\x80-\xff\n\015\[\]] | \\ [^\x80-\xff] )* # stuff \] # ] ) # initial subdomain (?: # (?: [\040\t] | \( (?: [^\\\x80-\xff\n\015()] | \\ [^\x80-\xff] | \( (?: [^\\\x80-\xff\n\015()] | \\ [^\x80-\xff] )* \) )* \) )* \. # if led by a period... (?: [\040\t] | \( (?: [^\\\x80-\xff\n\015()] | \\ [^\x80-\xff] | \( (?: [^\\\x80-\xff\n\015()] | \\ [^\x80-\xff] )* \) )* \) )* (?: [^(\040)<>@,;:".\\\[\]\000-\037\x80-\xff]+ # some number of atom characters... (?![^(\040)<>@,;:".\\\[\]\000-\037\x80-\xff]) # ..not followed by something that could be part of an atom | \[ # [ (?: [^\\\x80-\xff\n\015\[\]] | \\ [^\x80-\xff] )* # stuff \] # ] ) # ...further okay )* # address | # or (?: [^(\040)<>@,;:".\\\[\]\000-\037\x80-\xff]+ # some number of atom characters... (?![^(\040)<>@,;:".\\\[\]\000-\037\x80-\xff]) # ..not followed by something that could be part of an atom | " (?: # opening quote... [^\\\x80-\xff\n\015"] # Anything except backslash and quote | # or \\ [^\x80-\xff] # Escaped something (something != CR) )* " # closing quote ) # one word, optionally followed by.... (?: [^()<>@,;:".\\\[\]\x80-\xff\000-\010\012-\037] | # atom and space parts, or... \( (?: [^\\\x80-\xff\n\015()] | \\ [^\x80-\xff] | \( (?: [^\\\x80-\xff\n\015()] | \\ [^\x80-\xff] )* \) )* \) | # comments, or... " (?: # opening quote... [^\\\x80-\xff\n\015"] # Anything except backslash and quote | # or \\ [^\x80-\xff] # Escaped something (something != CR) )* " # closing quote # quoted strings )* < (?: [\040\t] | \( (?: [^\\\x80-\xff\n\015()] | \\ [^\x80-\xff] | \( (?: [^\\\x80-\xff\n\015()] | \\ [^\x80-\xff] )* \) )* \) )* # leading < (?: @ (?: [\040\t] | \( (?: [^\\\x80-\xff\n\015()] | \\ [^\x80-\xff] | \( (?: [^\\\x80-\xff\n\015()] | \\ [^\x80-\xff] )* \) )* \) )* (?: [^(\040)<>@,;:".\\\[\]\000-\037\x80-\xff]+ # some number of atom characters... (?![^(\040)<>@,;:".\\\[\]\000-\037\x80-\xff]) # ..not followed by something that could be part of an atom | \[ # [ (?: [^\\\x80-\xff\n\015\[\]] | \\ [^\x80-\xff] )* # stuff \] # ] ) # initial subdomain (?: # (?: [\040\t] | \( (?: [^\\\x80-\xff\n\015()] | \\ [^\x80-\xff] | \( (?: [^\\\x80-\xff\n\015()] | \\ [^\x80-\xff] )* \) )* \) )* \. # if led by a period... (?: [\040\t] | \( (?: [^\\\x80-\xff\n\015()] | \\ [^\x80-\xff] | \( (?: [^\\\x80-\xff\n\015()] | \\ [^\x80-\xff] )* \) )* \) )* (?: [^(\040)<>@,;:".\\\[\]\000-\037\x80-\xff]+ # some number of atom characters... (?![^(\040)<>@,;:".\\\[\]\000-\037\x80-\xff]) # ..not followed by something that could be part of an atom | \[ # [ (?: [^\\\x80-\xff\n\015\[\]] | \\ [^\x80-\xff] )* # stuff \] # ] ) # ...further okay )* (?: (?: [\040\t] | \( (?: [^\\\x80-\xff\n\015()] | \\ [^\x80-\xff] | \( (?: [^\\\x80-\xff\n\015()] | \\ [^\x80-\xff] )* \) )* \) )* , (?: [\040\t] | \( (?: [^\\\x80-\xff\n\015()] | \\ [^\x80-\xff] | \( (?: [^\\\x80-\xff\n\015()] | \\ [^\x80-\xff] )* \) )* \) )* @ (?: [\040\t] | \( (?: [^\\\x80-\xff\n\015()] | \\ [^\x80-\xff] | \( (?: [^\\\x80-\xff\n\015()] | \\ [^\x80-\xff] )* \) )* \) )* (?: [^(\040)<>@,;:".\\\[\]\000-\037\x80-\xff]+ # some number of atom characters... (?![^(\040)<>@,;:".\\\[\]\000-\037\x80-\xff]) # ..not followed by something that could be part of an atom | \[ # [ (?: [^\\\x80-\xff\n\015\[\]] | \\ [^\x80-\xff] )* # stuff \] # ] ) # initial subdomain (?: # (?: [\040\t] | \( (?: [^\\\x80-\xff\n\015()] | \\ [^\x80-\xff] | \( (?: [^\\\x80-\xff\n\015()] | \\ [^\x80-\xff] )* \) )* \) )* \. # if led by a period... (?: [\040\t] | \( (?: [^\\\x80-\xff\n\015()] | \\ [^\x80-\xff] | \( (?: [^\\\x80-\xff\n\015()] | \\ [^\x80-\xff] )* \) )* \) )* (?: [^(\040)<>@,;:".\\\[\]\000-\037\x80-\xff]+ # some number of atom characters... (?![^(\040)<>@,;:".\\\[\]\000-\037\x80-\xff]) # ..not followed by something that could be part of an atom | \[ # [ (?: [^\\\x80-\xff\n\015\[\]] | \\ [^\x80-\xff] )* # stuff \] # ] ) # ...further okay )* )* # further okay, if led by comma : # closing colon (?: [\040\t] | \( (?: [^\\\x80-\xff\n\015()] | \\ [^\x80-\xff] | \( (?: [^\\\x80-\xff\n\015()] | \\ [^\x80-\xff] )* \) )* \) )* )? # optional route (?: [^(\040)<>@,;:".\\\[\]\000-\037\x80-\xff]+ # some number of atom characters... (?![^(\040)<>@,;:".\\\[\]\000-\037\x80-\xff]) # ..not followed by something that could be part of an atom | " (?: # opening quote... [^\\\x80-\xff\n\015"] # Anything except backslash and quote | # or \\ [^\x80-\xff] # Escaped something (something != CR) )* " # closing quote ) # initial word (?: (?: [\040\t] | \( (?: [^\\\x80-\xff\n\015()] | \\ [^\x80-\xff] | \( (?: [^\\\x80-\xff\n\015()] | \\ [^\x80-\xff] )* \) )* \) )* \. (?: [\040\t] | \( (?: [^\\\x80-\xff\n\015()] | \\ [^\x80-\xff] | \( (?: [^\\\x80-\xff\n\015()] | \\ [^\x80-\xff] )* \) )* \) )* (?: [^(\040)<>@,;:".\\\[\]\000-\037\x80-\xff]+ # some number of atom characters... (?![^(\040)<>@,;:".\\\[\]\000-\037\x80-\xff]) # ..not followed by something that could be part of an atom | " (?: # opening quote... [^\\\x80-\xff\n\015"] # Anything except backslash and quote | # or \\ [^\x80-\xff] # Escaped something (something != CR) )* " # closing quote ) )* # further okay, if led by a period (?: [\040\t] | \( (?: [^\\\x80-\xff\n\015()] | \\ [^\x80-\xff] | \( (?: [^\\\x80-\xff\n\015()] | \\ [^\x80-\xff] )* \) )* \) )* @ (?: [\040\t] | \( (?: [^\\\x80-\xff\n\015()] | \\ [^\x80-\xff] | \( (?: [^\\\x80-\xff\n\015()] | \\ [^\x80-\xff] )* \) )* \) )* (?: [^(\040)<>@,;:".\\\[\]\000-\037\x80-\xff]+ # some number of atom characters... (?![^(\040)<>@,;:".\\\[\]\000-\037\x80-\xff]) # ..not followed by something that could be part of an atom | \[ # [ (?: [^\\\x80-\xff\n\015\[\]] | \\ [^\x80-\xff] )* # stuff \] # ] ) # initial subdomain (?: # (?: [\040\t] | \( (?: [^\\\x80-\xff\n\015()] | \\ [^\x80-\xff] | \( (?: [^\\\x80-\xff\n\015()] | \\ [^\x80-\xff] )* \) )* \) )* \. # if led by a period... (?: [\040\t] | \( (?: [^\\\x80-\xff\n\015()] | \\ [^\x80-\xff] | \( (?: [^\\\x80-\xff\n\015()] | \\ [^\x80-\xff] )* \) )* \) )* (?: [^(\040)<>@,;:".\\\[\]\000-\037\x80-\xff]+ # some number of atom characters... (?![^(\040)<>@,;:".\\\[\]\000-\037\x80-\xff]) # ..not followed by something that could be part of an atom | \[ # [ (?: [^\\\x80-\xff\n\015\[\]] | \\ [^\x80-\xff] )* # stuff \] # ] ) # ...further okay )* # address spec (?: [\040\t] | \( (?: [^\\\x80-\xff\n\015()] | \\ [^\x80-\xff] | \( (?: [^\\\x80-\xff\n\015()] | \\ [^\x80-\xff] )* \) )* \) )* > # trailing > # name and address ) (?: [\040\t] | \( (?: [^\\\x80-\xff\n\015()] | \\ [^\x80-\xff] | \( (?: [^\\\x80-\xff\n\015()] | \\ [^\x80-\xff] )* \) )* \) )* # optional trailing comment /x Alan Other user\@dom.ain \"A. Other\" (a comment) A. Other (a comment) \"/s=user/ou=host/o=place/prmd=uu.yy/admd= /c=gb/\"\@x400-re.lay A missing angle @,;:".\\\[\]\000-\037\x80-\xff]+ # some number of atom characters... (?![^(\040)<>@,;:".\\\[\]\000-\037\x80-\xff]) # ..not followed by something that could be part of an atom # Atom | # or " # " [^\\\x80-\xff\n\015"] * # normal (?: \\ [^\x80-\xff] [^\\\x80-\xff\n\015"] * )* # ( special normal* )* " # " # Quoted string ) [\040\t]* # Nab whitespace. (?: \( # ( [^\\\x80-\xff\n\015()] * # normal* (?: # ( (?: \\ [^\x80-\xff] | \( # ( [^\\\x80-\xff\n\015()] * # normal* (?: \\ [^\x80-\xff] [^\\\x80-\xff\n\015()] * )* # (special normal*)* \) # ) ) # special [^\\\x80-\xff\n\015()] * # normal* )* # )* \) # ) [\040\t]* )* # If comment found, allow more spaces. (?: \. [\040\t]* # Nab whitespace. (?: \( # ( [^\\\x80-\xff\n\015()] * # normal* (?: # ( (?: \\ [^\x80-\xff] | \( # ( [^\\\x80-\xff\n\015()] * # normal* (?: \\ [^\x80-\xff] [^\\\x80-\xff\n\015()] * )* # (special normal*)* \) # ) ) # special [^\\\x80-\xff\n\015()] * # normal* )* # )* \) # ) [\040\t]* )* # If comment found, allow more spaces. (?: [^(\040)<>@,;:".\\\[\]\000-\037\x80-\xff]+ # some number of atom characters... (?![^(\040)<>@,;:".\\\[\]\000-\037\x80-\xff]) # ..not followed by something that could be part of an atom # Atom | # or " # " [^\\\x80-\xff\n\015"] * # normal (?: \\ [^\x80-\xff] [^\\\x80-\xff\n\015"] * )* # ( special normal* )* " # " # Quoted string ) [\040\t]* # Nab whitespace. (?: \( # ( [^\\\x80-\xff\n\015()] * # normal* (?: # ( (?: \\ [^\x80-\xff] | \( # ( [^\\\x80-\xff\n\015()] * # normal* (?: \\ [^\x80-\xff] [^\\\x80-\xff\n\015()] * )* # (special normal*)* \) # ) ) # special [^\\\x80-\xff\n\015()] * # normal* )* # )* \) # ) [\040\t]* )* # If comment found, allow more spaces. # additional words )* @ [\040\t]* # Nab whitespace. (?: \( # ( [^\\\x80-\xff\n\015()] * # normal* (?: # ( (?: \\ [^\x80-\xff] | \( # ( [^\\\x80-\xff\n\015()] * # normal* (?: \\ [^\x80-\xff] [^\\\x80-\xff\n\015()] * )* # (special normal*)* \) # ) ) # special [^\\\x80-\xff\n\015()] * # normal* )* # )* \) # ) [\040\t]* )* # If comment found, allow more spaces. (?: [^(\040)<>@,;:".\\\[\]\000-\037\x80-\xff]+ # some number of atom characters... (?![^(\040)<>@,;:".\\\[\]\000-\037\x80-\xff]) # ..not followed by something that could be part of an atom | \[ # [ (?: [^\\\x80-\xff\n\015\[\]] | \\ [^\x80-\xff] )* # stuff \] # ] ) [\040\t]* # Nab whitespace. (?: \( # ( [^\\\x80-\xff\n\015()] * # normal* (?: # ( (?: \\ [^\x80-\xff] | \( # ( [^\\\x80-\xff\n\015()] * # normal* (?: \\ [^\x80-\xff] [^\\\x80-\xff\n\015()] * )* # (special normal*)* \) # ) ) # special [^\\\x80-\xff\n\015()] * # normal* )* # )* \) # ) [\040\t]* )* # If comment found, allow more spaces. # optional trailing comments (?: \. [\040\t]* # Nab whitespace. (?: \( # ( [^\\\x80-\xff\n\015()] * # normal* (?: # ( (?: \\ [^\x80-\xff] | \( # ( [^\\\x80-\xff\n\015()] * # normal* (?: \\ [^\x80-\xff] [^\\\x80-\xff\n\015()] * )* # (special normal*)* \) # ) ) # special [^\\\x80-\xff\n\015()] * # normal* )* # )* \) # ) [\040\t]* )* # If comment found, allow more spaces. (?: [^(\040)<>@,;:".\\\[\]\000-\037\x80-\xff]+ # some number of atom characters... (?![^(\040)<>@,;:".\\\[\]\000-\037\x80-\xff]) # ..not followed by something that could be part of an atom | \[ # [ (?: [^\\\x80-\xff\n\015\[\]] | \\ [^\x80-\xff] )* # stuff \] # ] ) [\040\t]* # Nab whitespace. (?: \( # ( [^\\\x80-\xff\n\015()] * # normal* (?: # ( (?: \\ [^\x80-\xff] | \( # ( [^\\\x80-\xff\n\015()] * # normal* (?: \\ [^\x80-\xff] [^\\\x80-\xff\n\015()] * )* # (special normal*)* \) # ) ) # special [^\\\x80-\xff\n\015()] * # normal* )* # )* \) # ) [\040\t]* )* # If comment found, allow more spaces. # optional trailing comments )* # address | # or (?: [^(\040)<>@,;:".\\\[\]\000-\037\x80-\xff]+ # some number of atom characters... (?![^(\040)<>@,;:".\\\[\]\000-\037\x80-\xff]) # ..not followed by something that could be part of an atom # Atom | # or " # " [^\\\x80-\xff\n\015"] * # normal (?: \\ [^\x80-\xff] [^\\\x80-\xff\n\015"] * )* # ( special normal* )* " # " # Quoted string ) # leading word [^()<>@,;:".\\\[\]\x80-\xff\000-\010\012-\037] * # "normal" atoms and or spaces (?: (?: \( # ( [^\\\x80-\xff\n\015()] * # normal* (?: # ( (?: \\ [^\x80-\xff] | \( # ( [^\\\x80-\xff\n\015()] * # normal* (?: \\ [^\x80-\xff] [^\\\x80-\xff\n\015()] * )* # (special normal*)* \) # ) ) # special [^\\\x80-\xff\n\015()] * # normal* )* # )* \) # ) | " # " [^\\\x80-\xff\n\015"] * # normal (?: \\ [^\x80-\xff] [^\\\x80-\xff\n\015"] * )* # ( special normal* )* " # " ) # "special" comment or quoted string [^()<>@,;:".\\\[\]\x80-\xff\000-\010\012-\037] * # more "normal" )* < [\040\t]* # Nab whitespace. (?: \( # ( [^\\\x80-\xff\n\015()] * # normal* (?: # ( (?: \\ [^\x80-\xff] | \( # ( [^\\\x80-\xff\n\015()] * # normal* (?: \\ [^\x80-\xff] [^\\\x80-\xff\n\015()] * )* # (special normal*)* \) # ) ) # special [^\\\x80-\xff\n\015()] * # normal* )* # )* \) # ) [\040\t]* )* # If comment found, allow more spaces. # < (?: @ [\040\t]* # Nab whitespace. (?: \( # ( [^\\\x80-\xff\n\015()] * # normal* (?: # ( (?: \\ [^\x80-\xff] | \( # ( [^\\\x80-\xff\n\015()] * # normal* (?: \\ [^\x80-\xff] [^\\\x80-\xff\n\015()] * )* # (special normal*)* \) # ) ) # special [^\\\x80-\xff\n\015()] * # normal* )* # )* \) # ) [\040\t]* )* # If comment found, allow more spaces. (?: [^(\040)<>@,;:".\\\[\]\000-\037\x80-\xff]+ # some number of atom characters... (?![^(\040)<>@,;:".\\\[\]\000-\037\x80-\xff]) # ..not followed by something that could be part of an atom | \[ # [ (?: [^\\\x80-\xff\n\015\[\]] | \\ [^\x80-\xff] )* # stuff \] # ] ) [\040\t]* # Nab whitespace. (?: \( # ( [^\\\x80-\xff\n\015()] * # normal* (?: # ( (?: \\ [^\x80-\xff] | \( # ( [^\\\x80-\xff\n\015()] * # normal* (?: \\ [^\x80-\xff] [^\\\x80-\xff\n\015()] * )* # (special normal*)* \) # ) ) # special [^\\\x80-\xff\n\015()] * # normal* )* # )* \) # ) [\040\t]* )* # If comment found, allow more spaces. # optional trailing comments (?: \. [\040\t]* # Nab whitespace. (?: \( # ( [^\\\x80-\xff\n\015()] * # normal* (?: # ( (?: \\ [^\x80-\xff] | \( # ( [^\\\x80-\xff\n\015()] * # normal* (?: \\ [^\x80-\xff] [^\\\x80-\xff\n\015()] * )* # (special normal*)* \) # ) ) # special [^\\\x80-\xff\n\015()] * # normal* )* # )* \) # ) [\040\t]* )* # If comment found, allow more spaces. (?: [^(\040)<>@,;:".\\\[\]\000-\037\x80-\xff]+ # some number of atom characters... (?![^(\040)<>@,;:".\\\[\]\000-\037\x80-\xff]) # ..not followed by something that could be part of an atom | \[ # [ (?: [^\\\x80-\xff\n\015\[\]] | \\ [^\x80-\xff] )* # stuff \] # ] ) [\040\t]* # Nab whitespace. (?: \( # ( [^\\\x80-\xff\n\015()] * # normal* (?: # ( (?: \\ [^\x80-\xff] | \( # ( [^\\\x80-\xff\n\015()] * # normal* (?: \\ [^\x80-\xff] [^\\\x80-\xff\n\015()] * )* # (special normal*)* \) # ) ) # special [^\\\x80-\xff\n\015()] * # normal* )* # )* \) # ) [\040\t]* )* # If comment found, allow more spaces. # optional trailing comments )* (?: , [\040\t]* # Nab whitespace. (?: \( # ( [^\\\x80-\xff\n\015()] * # normal* (?: # ( (?: \\ [^\x80-\xff] | \( # ( [^\\\x80-\xff\n\015()] * # normal* (?: \\ [^\x80-\xff] [^\\\x80-\xff\n\015()] * )* # (special normal*)* \) # ) ) # special [^\\\x80-\xff\n\015()] * # normal* )* # )* \) # ) [\040\t]* )* # If comment found, allow more spaces. @ [\040\t]* # Nab whitespace. (?: \( # ( [^\\\x80-\xff\n\015()] * # normal* (?: # ( (?: \\ [^\x80-\xff] | \( # ( [^\\\x80-\xff\n\015()] * # normal* (?: \\ [^\x80-\xff] [^\\\x80-\xff\n\015()] * )* # (special normal*)* \) # ) ) # special [^\\\x80-\xff\n\015()] * # normal* )* # )* \) # ) [\040\t]* )* # If comment found, allow more spaces. (?: [^(\040)<>@,;:".\\\[\]\000-\037\x80-\xff]+ # some number of atom characters... (?![^(\040)<>@,;:".\\\[\]\000-\037\x80-\xff]) # ..not followed by something that could be part of an atom | \[ # [ (?: [^\\\x80-\xff\n\015\[\]] | \\ [^\x80-\xff] )* # stuff \] # ] ) [\040\t]* # Nab whitespace. (?: \( # ( [^\\\x80-\xff\n\015()] * # normal* (?: # ( (?: \\ [^\x80-\xff] | \( # ( [^\\\x80-\xff\n\015()] * # normal* (?: \\ [^\x80-\xff] [^\\\x80-\xff\n\015()] * )* # (special normal*)* \) # ) ) # special [^\\\x80-\xff\n\015()] * # normal* )* # )* \) # ) [\040\t]* )* # If comment found, allow more spaces. # optional trailing comments (?: \. [\040\t]* # Nab whitespace. (?: \( # ( [^\\\x80-\xff\n\015()] * # normal* (?: # ( (?: \\ [^\x80-\xff] | \( # ( [^\\\x80-\xff\n\015()] * # normal* (?: \\ [^\x80-\xff] [^\\\x80-\xff\n\015()] * )* # (special normal*)* \) # ) ) # special [^\\\x80-\xff\n\015()] * # normal* )* # )* \) # ) [\040\t]* )* # If comment found, allow more spaces. (?: [^(\040)<>@,;:".\\\[\]\000-\037\x80-\xff]+ # some number of atom characters... (?![^(\040)<>@,;:".\\\[\]\000-\037\x80-\xff]) # ..not followed by something that could be part of an atom | \[ # [ (?: [^\\\x80-\xff\n\015\[\]] | \\ [^\x80-\xff] )* # stuff \] # ] ) [\040\t]* # Nab whitespace. (?: \( # ( [^\\\x80-\xff\n\015()] * # normal* (?: # ( (?: \\ [^\x80-\xff] | \( # ( [^\\\x80-\xff\n\015()] * # normal* (?: \\ [^\x80-\xff] [^\\\x80-\xff\n\015()] * )* # (special normal*)* \) # ) ) # special [^\\\x80-\xff\n\015()] * # normal* )* # )* \) # ) [\040\t]* )* # If comment found, allow more spaces. # optional trailing comments )* )* # additional domains : [\040\t]* # Nab whitespace. (?: \( # ( [^\\\x80-\xff\n\015()] * # normal* (?: # ( (?: \\ [^\x80-\xff] | \( # ( [^\\\x80-\xff\n\015()] * # normal* (?: \\ [^\x80-\xff] [^\\\x80-\xff\n\015()] * )* # (special normal*)* \) # ) ) # special [^\\\x80-\xff\n\015()] * # normal* )* # )* \) # ) [\040\t]* )* # If comment found, allow more spaces. # optional trailing comments )? # optional route (?: [^(\040)<>@,;:".\\\[\]\000-\037\x80-\xff]+ # some number of atom characters... (?![^(\040)<>@,;:".\\\[\]\000-\037\x80-\xff]) # ..not followed by something that could be part of an atom # Atom | # or " # " [^\\\x80-\xff\n\015"] * # normal (?: \\ [^\x80-\xff] [^\\\x80-\xff\n\015"] * )* # ( special normal* )* " # " # Quoted string ) [\040\t]* # Nab whitespace. (?: \( # ( [^\\\x80-\xff\n\015()] * # normal* (?: # ( (?: \\ [^\x80-\xff] | \( # ( [^\\\x80-\xff\n\015()] * # normal* (?: \\ [^\x80-\xff] [^\\\x80-\xff\n\015()] * )* # (special normal*)* \) # ) ) # special [^\\\x80-\xff\n\015()] * # normal* )* # )* \) # ) [\040\t]* )* # If comment found, allow more spaces. (?: \. [\040\t]* # Nab whitespace. (?: \( # ( [^\\\x80-\xff\n\015()] * # normal* (?: # ( (?: \\ [^\x80-\xff] | \( # ( [^\\\x80-\xff\n\015()] * # normal* (?: \\ [^\x80-\xff] [^\\\x80-\xff\n\015()] * )* # (special normal*)* \) # ) ) # special [^\\\x80-\xff\n\015()] * # normal* )* # )* \) # ) [\040\t]* )* # If comment found, allow more spaces. (?: [^(\040)<>@,;:".\\\[\]\000-\037\x80-\xff]+ # some number of atom characters... (?![^(\040)<>@,;:".\\\[\]\000-\037\x80-\xff]) # ..not followed by something that could be part of an atom # Atom | # or " # " [^\\\x80-\xff\n\015"] * # normal (?: \\ [^\x80-\xff] [^\\\x80-\xff\n\015"] * )* # ( special normal* )* " # " # Quoted string ) [\040\t]* # Nab whitespace. (?: \( # ( [^\\\x80-\xff\n\015()] * # normal* (?: # ( (?: \\ [^\x80-\xff] | \( # ( [^\\\x80-\xff\n\015()] * # normal* (?: \\ [^\x80-\xff] [^\\\x80-\xff\n\015()] * )* # (special normal*)* \) # ) ) # special [^\\\x80-\xff\n\015()] * # normal* )* # )* \) # ) [\040\t]* )* # If comment found, allow more spaces. # additional words )* @ [\040\t]* # Nab whitespace. (?: \( # ( [^\\\x80-\xff\n\015()] * # normal* (?: # ( (?: \\ [^\x80-\xff] | \( # ( [^\\\x80-\xff\n\015()] * # normal* (?: \\ [^\x80-\xff] [^\\\x80-\xff\n\015()] * )* # (special normal*)* \) # ) ) # special [^\\\x80-\xff\n\015()] * # normal* )* # )* \) # ) [\040\t]* )* # If comment found, allow more spaces. (?: [^(\040)<>@,;:".\\\[\]\000-\037\x80-\xff]+ # some number of atom characters... (?![^(\040)<>@,;:".\\\[\]\000-\037\x80-\xff]) # ..not followed by something that could be part of an atom | \[ # [ (?: [^\\\x80-\xff\n\015\[\]] | \\ [^\x80-\xff] )* # stuff \] # ] ) [\040\t]* # Nab whitespace. (?: \( # ( [^\\\x80-\xff\n\015()] * # normal* (?: # ( (?: \\ [^\x80-\xff] | \( # ( [^\\\x80-\xff\n\015()] * # normal* (?: \\ [^\x80-\xff] [^\\\x80-\xff\n\015()] * )* # (special normal*)* \) # ) ) # special [^\\\x80-\xff\n\015()] * # normal* )* # )* \) # ) [\040\t]* )* # If comment found, allow more spaces. # optional trailing comments (?: \. [\040\t]* # Nab whitespace. (?: \( # ( [^\\\x80-\xff\n\015()] * # normal* (?: # ( (?: \\ [^\x80-\xff] | \( # ( [^\\\x80-\xff\n\015()] * # normal* (?: \\ [^\x80-\xff] [^\\\x80-\xff\n\015()] * )* # (special normal*)* \) # ) ) # special [^\\\x80-\xff\n\015()] * # normal* )* # )* \) # ) [\040\t]* )* # If comment found, allow more spaces. (?: [^(\040)<>@,;:".\\\[\]\000-\037\x80-\xff]+ # some number of atom characters... (?![^(\040)<>@,;:".\\\[\]\000-\037\x80-\xff]) # ..not followed by something that could be part of an atom | \[ # [ (?: [^\\\x80-\xff\n\015\[\]] | \\ [^\x80-\xff] )* # stuff \] # ] ) [\040\t]* # Nab whitespace. (?: \( # ( [^\\\x80-\xff\n\015()] * # normal* (?: # ( (?: \\ [^\x80-\xff] | \( # ( [^\\\x80-\xff\n\015()] * # normal* (?: \\ [^\x80-\xff] [^\\\x80-\xff\n\015()] * )* # (special normal*)* \) # ) ) # special [^\\\x80-\xff\n\015()] * # normal* )* # )* \) # ) [\040\t]* )* # If comment found, allow more spaces. # optional trailing comments )* # address spec > # > # name and address ) /x Alan Other user\@dom.ain \"A. Other\" (a comment) A. Other (a comment) \"/s=user/ou=host/o=place/prmd=uu.yy/admd= /c=gb/\"\@x400-re.lay A missing angle ]{0,})>]{0,})>([\d]{0,}\.)(.*)((
([\w\W\s\d][^<>]{0,})|[\s]{0,}))<\/a><\/TD>]{0,})>([\w\W\s\d][^<>]{0,})<\/TD>]{0,})>([\w\W\s\d][^<>]{0,})<\/TD><\/TR>/is 43.Word Processor
(N-1286)Lega lstaff.comCA - Statewide /a[^a]b/ acb a\nb /a.b/ acb a\nb /a[^a]b/s acb a\nb /a.b/s acb a\nb /^(b+?|a){1,2}?c/ bac bbac bbbac bbbbac bbbbbac /^(b+|a){1,2}?c/ bac bbac bbbac bbbbac bbbbbac /(?!\A)x/m x\nb\n a\bx\n /\x0{ab}/ \0{ab} /(A|B)*?CD/ CD /(A|B)*CD/ CD /(AB)*?\1/ ABABAB /(AB)*\1/ ABABAB /(/ doesn't matter /(x)\2/ doesn't matter /((a{0,5}){0,5}){0,5}[c]/ aaaaaaaaaac aaaaaaaaaa /((a{0,5}){0,5})*[c]/ aaaaaaaaaac aaaaaaaaaa /(\b)*a/ a /(a)*b/ ab /(a|)*b/ ab b x /^(?:(a)|(b))*\1\2$/ abab /abc[^x]def/ abcxabcydef /^(a|\1x)*$/ aax aaxa // @{['']} /^(?:(a)|(b))*$/ ab /[\0]/ a \0 /[\1]/ a \1 /\10()()()()()()()()()/ doesn't matter /\10()()()()()()()()()()/ a /a(?<)b/ ab /[]/ doesn't matter /[\]/ doesn't matter /()/ a /[\x]/ x \0 /((a)*)*/ a /()a\1/ a /a\1()/ a /a(?i)a(?-i)a/ aaa aAa aAA /a(?i)a(?-i)a(?i)a(?-i)a/ aaaaa aAaAa AaAaA aAAAa AaaaA AAAAA aaAAA AAaaa /\x/ a X \0 /[a-c-e]/ a b d - /[b-\d]/ b c d - 1 /[\d-f]/ d e f - 1 /[/ doesn't matter /]/ ] a /[]/ doesn't matter /[-a-c]/ - a b d /[a-c-]/ - a b d /[-]/ a - /[--]/ a - /[---]/ a - /[--b]/ - a c /[b--]/ doesn't matter /a{/ a{ /a{}/ a{} /a{3/ a{3 /a{3,/ a{3, /a{3, 3}/ a{3,3} a{3, 3} aaa /a{3, 3}/x a{3,3} a{3, 3} aaa /a{3, }/ a{3,} a{3, } aaa /a{3, }/x a{3,} a{3, } aaa /\x x/ \0 x \0x /\x x/x \0 x \0x /\x 3/ \0003 \000 3 x3 x 3 /\x 3/x \0003 \000 3 x3 x 3 /^a{ 1}$/ a a{ 1} a{1} /^a{ 1}$/x a a{ 1} a{1} /{}/ {} a /{1}/ doesn't matter /*/ doesn't matter /|/ x /\0000/ \0000 /a(?<)b/ ab /a(?i)b/ ab aB Ab /a(?i=a)/ doesn't matter /a(?<=a){3000}a/ aa xa ax /a(?!=a){3000}a/ aa ax xa /a(){3000}a/ aa ax xa /a(?:){3000}a/ aa ax /a(?<=a)*a/ aa ax xa /a(?!=a)*a/ aa ax xa /a()*a/ aa ax xa /a(?:)*a/ aa ax xa /x(?<=a)*a/ aa xa ax /a(?<=(a))*\1/ aa /a(?<=(a))*?\1/ aa /(?=(a)\1)*aa/ aa /^((a|b){2,5}){2}$/ aaaaabbbbb /^(b*|ba){1,2}bc/ babc bbabc bababc bababbc babababc /^a{4,5}(?:c|a)c$/ aaaaac aaaaaac /^(a|){4,5}(?:c|a)c$/ aaaaac aaaaaac /(?m:^).abc$/ eeexabc eee\nxabc /(?m:^)abc/ abc \nabc /^abc/ abc \nabc /\Aabc/ abc \nabc /(?.*/)foo" /this/is/a/very/long/line/in/deed/with/very/many/slashes/in/it/you/see/ "(?>.*/)foo" /this/is/a/very/long/line/in/deed/with/very/many/slashes/in/and/foo /(?>(\.\d\d[1-9]?))\d+/ 1.230003938 1.875000282 1.235 /^((?>\w+)|(?>\s+))*$/ now is the time for all good men to come to the aid of the party this is not a line with only words and spaces! /(\d+)(\w)/ 12345a 12345+ /((?>\d+))(\w)/ 12345a 12345+ /(?>a+)b/ aaab /((?>a+)b)/ aaab /(?>(a+))b/ aaab /(?>b)+/ aaabbbccc /(?>a+|b+|c+)*c/ aaabbbbccccd /((?>[^()]+)|\([^()]*\))+/ ((abc(ade)ufh()()x /\(((?>[^()]+)|\([^()]+\))+\)/ (abc) (abc(def)xyz) ((()aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa /a(?-i)b/i ab Ab aB AB /(a (?x)b c)d e/ a bcd e a b cd e abcd e a bcde /(a b(?x)c d (?-x)e f)/ a bcde f abcdef /(a(?i)b)c/ abc aBc abC aBC Abc ABc ABC AbC /a(?i:b)c/ abc aBc ABC abC aBC /a(?i:b)*c/ aBc aBBc aBC aBBC /a(?=b(?i)c)\w\wd/ abcd abCd aBCd abcD /(?s-i:more.*than).*million/i more than million more than MILLION more \n than Million MORE THAN MILLION more \n than \n million /(?:(?s-i)more.*than).*million/i more than million more than MILLION more \n than Million MORE THAN MILLION more \n than \n million /(?>a(?i)b+)+c/ abc aBbc aBBc Abc abAb abbC /(?=a(?i)b)\w\wc/ abc aBc Ab abC aBC /(?<=a(?i)b)(\w\w)c/ abxxc aBxxc Abxxc ABxxc abxxC /(?:(a)|b)(?(1)A|B)/ aA bB aB bA /^(a)?(?(1)a|b)+$/ aa b bb ab /^(?(?=abc)\w{3}:|\d\d)$/ abc: 12 123 xyz /^(?(?!abc)\d\d|\w{3}:)$/ abc: 12 123 xyz /(?(?<=foo)bar|cat)/ foobar cat fcat focat foocat /(?(?a*)*/ a aa aaaa /(abc|)+/ abc abcabc abcabcabc xyz /([a]*)*/ a aaaaa /([ab]*)*/ a b ababab aaaabcde bbbb /([^a]*)*/ b bbbb aaa /([^ab]*)*/ cccc abab /([a]*?)*/ a aaaa /([ab]*?)*/ a b abab baba /([^a]*?)*/ b bbbb aaa /([^ab]*?)*/ c cccc baba /(?>a*)*/ a aaabcde /((?>a*))*/ aaaaa aabbaa /((?>a*?))*/ aaaaa aabbaa /(?(?=[^a-z]+[a-z]) \d{2}-[a-z]{3}-\d{2} | \d{2}-\d{2}-\d{2} ) /x 12-sep-98 12-09-98 sep-12-98 /(?<=(foo))bar\1/ foobarfoo foobarfootling foobar barfoo /(?i:saturday|sunday)/ saturday sunday Saturday Sunday SATURDAY SUNDAY SunDay /(a(?i)bc|BB)x/ abcx aBCx bbx BBx abcX aBCX bbX BBX /^([ab](?i)[cd]|[ef])/ ac aC bD elephant Europe frog France Africa /^(ab|a(?i)[b-c](?m-i)d|x(?i)y|z)/ ab aBd xy xY zebra Zambesi aCD XY /(?<=foo\n)^bar/m foo\nbar bar baz\nbar /(?<=(?]&/ <&OUT /^(a\1?){4}$/ aaaaaaaaaa AB aaaaaaaaa aaaaaaaaaaa /^(a(?(1)\1)){4}$/ aaaaaaaaaa aaaaaaaaa aaaaaaaaaaa /(?:(f)(o)(o)|(b)(a)(r))*/ foobar /(?<=a)b/ ab cb b /(?a+)ab/ /(?>a+)b/ aaab /([[:]+)/ a:[b]: /([[=]+)/ a=[b]= /([[.]+)/ a.[b]. /((?>a+)b)/ aaab /(?>(a+))b/ aaab /((?>[^()]+)|\([^()]*\))+/ ((abc(ade)ufh()()x /a\Z/ aaab a\nb\n /b\Z/ a\nb\n /b\z/ /b\Z/ a\nb /b\z/ a\nb /^(?>(?(1)\.|())[^\W_](?>[a-z0-9-]*[^\W_])?)+$/ a abc a-b 0-9 a.b 5.6.7 the.quick.brown.fox a100.b200.300c 12-ab.1245 \ .a -a a- a. a_b a.- a.. ab..bc the.quick.brown.fox- the.quick.brown.fox. the.quick.brown.fox_ the.quick.brown.fox+ /(?>.*)(?<=(abcd|wxyz))/ alphabetabcd endingwxyz a rather long string that doesn't end with one of them /word (?>(?:(?!otherword)[a-zA-Z0-9]+ ){0,30})otherword/ word cat dog elephant mussel cow horse canary baboon snake shark otherword word cat dog elephant mussel cow horse canary baboon snake shark /word (?>[a-zA-Z0-9]+ ){0,30}otherword/ word cat dog elephant mussel cow horse canary baboon snake shark the quick brown fox and the lazy dog and several other words getting close to thirty by now I hope /(?<=\d{3}(?!999))foo/ 999foo 123999foo 123abcfoo /(?<=(?!...999)\d{3})foo/ 999foo 123999foo 123abcfoo /(?<=\d{3}(?!999)...)foo/ 123abcfoo 123456foo 123999foo /(?<=\d{3}...)(?\s*)=(?>\s*) # find Z)+|A)*/ ZABCDEFG /((?>)+|A)*/ ZABCDEFG /a*/g abbab /^[a-\d]/ abcde -things 0digit bcdef /^[\d-a]/ abcde -things 0digit bcdef /(?<=abc).*(?=def)/ abcdef abcxdef abcxdefxdef /(?<=abc).*?(?=def)/ abcdef abcxdef abcxdefxdef /(?<=abc).+(?=def)/ abcdef abcxdef abcxdefxdef /(?<=abc).+?(?=def)/ abcdef abcxdef abcxdefxdef /(?<=\b)(.*)/ -abcdef abcdef /(?<=\B)(.*)/ -abcdef abcdef /^'[ab]'/ 'a' 'b' x'a' 'a'x 'ab' /^'[ab]'$/ 'a' 'b' x'a' 'a'x 'ab' /'[ab]'$/ 'a' 'b' x'a' 'a'x 'ab' /'[ab]'/ 'a' 'b' x'a' 'a'x 'ab' /abc\E/ abc abcE /abc[\Ex]/ abcx abcE /^\Qa*\E$/ a* a /\Qa*x\E/ a*x a* /\Qa*x/ a*x a* /\Q\Qa*x\E\E/ a*x a\\*x /\Q\Qa*x\E/ a*x a\\*x /a\Q[x\E]/ a[x] ax /a#comment\Q... {2}/x a aa /a(?#comment\Q... ){2}/x a aa /(?x)a#\Q ./ a. aa /ab(?=.*q)cd/ abcdxklqj /a(?!.*$)b/ ab /.{2}[a-z]/ Axicafeobj-1.5.4/cl-ppcre/test/simple0000644000000000000000000003622112403660236015516 0ustar rootroot;;; -*- Mode: LISP; Syntax: COMMON-LISP; Package: CL-PPCRE-TEST; Base: 10 -*- ;;; $Header: /usr/local/cvsrep/cl-ppcre/test/simple,v 1.9 2008/07/23 00:48:00 edi Exp $ ;;; some simple tests for CL-PPCRE - entered manually and to be read ;;; in the CL-PPCRE-TEST package; all forms are expected to return a ;;; true value on success when EVALuated (equalp (multiple-value-list (scan "(a)*b" "xaaabd")) (list 1 5 #(3) #(4))) (equalp (multiple-value-list (scan "(a)*b" "xaaabd" :start 1)) (list 1 5 #(3) #(4))) (equalp (multiple-value-list (scan "(a)*b" "xaaabd" :start 2)) (list 2 5 #(3) #(4))) (null (scan "(a)*b" "xaaabd" :end 4)) (equalp (multiple-value-list (scan '(:greedy-repetition 0 nil #\b) "bbbc")) (list 0 3 #() #())) (null (scan '(:greedy-repetition 4 6 #\b) "bbbc")) (let ((s (create-scanner "(([a-c])+)x"))) (equalp (multiple-value-list (scan s "abcxy")) (list 0 4 #(0 2) #(3 3)))) (equalp (multiple-value-list (scan-to-strings "[^b]*b" "aaabd")) (list "aaab" #())) (equalp (multiple-value-list (scan-to-strings "([^b])*b" "aaabd")) (list "aaab" #("a"))) (equalp (multiple-value-list (scan-to-strings "(([^b])*)b" "aaabd")) (list "aaab" #("aaa" "a"))) (equalp (register-groups-bind (first second third fourth) ("((a)|(b)|(c))+" "abababc" :sharedp t) (list first second third fourth)) (list "c" "a" "b" "c")) (equalp (register-groups-bind (nil second third fourth) ("((a)|(b)|(c))()+" "abababc" :start 6) (list second third fourth)) (list nil nil "c")) (null (register-groups-bind (first) ("(a|b)+" "accc" :start 1) first)) (equalp (register-groups-bind (fname lname (#'parse-integer date month year)) ("(\\w+)\\s+(\\w+)\\s+(\\d{1,2})\\.(\\d{1,2})\\.(\\d{4})" "Frank Zappa 21.12.1940") (list fname lname (encode-universal-time 0 0 0 date month year 0))) (list "Frank" "Zappa" 1292889600)) (flet ((foo (regex target-string &key (start 0) (end (length target-string))) (let ((sum 0)) (do-matches (s e regex target-string nil :start start :end end) (incf sum (- e s))) (/ sum (- end start))))) (and (= 1/3 (foo "a" "abcabcabc")) (= 5/9 (foo "aa|b" "aacabcbbc")))) (labels ((crossfoot (target-string &key (start 0) (end (length target-string))) (let ((sum 0)) (do-matches-as-strings (m :digit-class target-string nil :start start :end end) (incf sum (parse-integer m))) (if (< sum 10) sum (crossfoot (format nil "~A" sum)))))) (and (zerop (crossfoot "bar")) (= 3 (crossfoot "a3x")) (= 6 (crossfoot "12345")))) (let (result) (do-register-groups (first second third fourth) ("((a)|(b)|(c))" "abababc" nil :start 2 :sharedp t) (push (list first second third fourth) result)) (equal (nreverse result) '(("a" "a" nil nil) ("b" nil "b" nil) ("a" "a" nil nil) ("b" nil "b" nil) ("c" nil nil "c")))) (let (result) (do-register-groups ((#'parse-integer n) (#'intern sign) whitespace) ("(\\d+)|(\\+|-|\\*|/)|(\\s+)" "12*15 - 42/3") (unless whitespace (push (or n sign) result))) (equal (nreverse result) '(12 * 15 - 42 / 3))) (equal (all-matches "a" "foo bar baz") (list 5 6 9 10)) (equal (all-matches "\\w*" "foo bar baz") (list 0 3 3 3 4 7 7 7 8 11 11 11)) (equal (all-matches-as-strings "a" "foo bar baz") (list "a" "a")) (equal (all-matches-as-strings "\\w*" "foo bar baz") (list "foo" "" "bar" "" "baz" "")) (equal (split "\\s+" "foo bar baz frob") '("foo" "bar" "baz" "frob")) (equal (split "\\s*" "foo bar baz") '("f" "o" "o" "b" "a" "r" "b" "a" "z")) (equal (split "(\\s+)" "foo bar baz") '("foo" "bar" "baz")) (equal (split "(\\s+)" "foo bar baz" :with-registers-p t) '("foo" " " "bar" " " "baz")) (equal (split "(\\s)(\\s*)" "foo bar baz" :with-registers-p t) '("foo" " " "" "bar" " " " " "baz")) (equal (split "(,)|(;)" "foo,bar;baz" :with-registers-p t) '("foo" "," nil "bar" nil ";" "baz")) (equal (split "(,)|(;)" "foo,bar;baz" :with-registers-p t :omit-unmatched-p t) '("foo" "," "bar" ";" "baz")) (equal (split ":" "a:b:c:d:e:f:g::") '("a" "b" "c" "d" "e" "f" "g")) (equal (split ":" "a:b:c:d:e:f:g::" :limit 1) '("a:b:c:d:e:f:g::")) (equal (split ":" "a:b:c:d:e:f:g::" :limit 2) '("a" "b:c:d:e:f:g::")) (equal (split ":" "a:b:c:d:e:f:g::" :limit 3) '("a" "b" "c:d:e:f:g::")) (equal (split ":" "a:b:c:d:e:f:g::" :limit 1000) '("a" "b" "c" "d" "e" "f" "g" "" "")) (equal (multiple-value-list (regex-replace "fo+" "foo bar" "frob")) (list "frob bar" t)) (equal (multiple-value-list (regex-replace "fo+" "FOO bar" "frob")) (list "FOO bar" nil)) (equal (multiple-value-list (regex-replace "(?i)fo+" "FOO bar" "frob")) (list "frob bar" t)) (equal (multiple-value-list (regex-replace "(?i)fo+" "FOO bar" "frob" :preserve-case t)) (list "FROB bar" t)) (equal (multiple-value-list (regex-replace "(?i)fo+" "Foo bar" "frob" :preserve-case t)) (list "Frob bar" t)) (equal (multiple-value-list (regex-replace "bar" "foo bar baz" "[frob (was '\\&' between '\\`' and '\\'')]")) (list "foo [frob (was 'bar' between 'foo ' and ' baz')] baz" t)) (equal (multiple-value-list (regex-replace "bar" "foo bar baz" '("[frob (was '" :match "' between '" :before-match "' and '" :after-match "')]"))) (list "foo [frob (was 'bar' between 'foo ' and ' baz')] baz" t)) (equal (multiple-value-list (regex-replace "(be)(nev)(o)(lent)" "benevolent: adj. generous, kind" (lambda (match &rest registers) (format nil "~A [~{~A~^.~}]" match registers)) :simple-calls t)) (list "benevolent [be.nev.o.lent]: adj. generous, kind" t)) (equal (multiple-value-list (regex-replace-all "(?i)fo+" "foo Fooo FOOOO bar" "frob" :preserve-case t)) (list "frob Frob FROB bar" t)) (string= (regex-replace-all "(?i)f(o+)" "foo Fooo FOOOO bar" "fr\\1b" :preserve-case t) "froob Frooob FROOOOB bar") (let ((qp-regex (create-scanner "[\\x80-\\xff]"))) (flet ((encode-quoted-printable (string) "Converts 8-bit string to quoted-printable representation." ;; won't work for Corman Lisp because non-ASCII characters aren't 8-bit there (flet ((convert (target-string start end match-start match-end reg-starts reg-ends) (declare (ignore start end match-end reg-starts reg-ends)) (format nil "=~2,'0x" (char-code (char target-string match-start))))) (regex-replace-all qp-regex string #'convert)))) (string= (encode-quoted-printable "Fête Sørensen naïve Hühner Straße") "F=EAte S=F8rensen na=EFve H=FChner Stra=DFe"))) (let ((url-regex (create-scanner "[^a-zA-Z0-9_\\-.]"))) (flet ((url-encode (string) "URL-encodes a string." ;; won't work for Corman Lisp because non-ASCII characters aren't 8-bit there (flet ((convert (target-string start end match-start match-end reg-starts reg-ends) (declare (ignore start end match-end reg-starts reg-ends)) (format nil "%~2,'0x" (char-code (char target-string match-start))))) (regex-replace-all url-regex string #'convert)))) (string= (url-encode "Fête Sørensen naïve Hühner Straße") "F%EAte%20S%F8rensen%20na%EFve%20H%FChner%20Stra%DFe"))) (flet ((how-many (target-string start end match-start match-end reg-starts reg-ends) (declare (ignore target-string start end match-start match-end)) (format nil "~A" (- (svref reg-ends 0) (svref reg-starts 0))))) (string= (regex-replace-all "{(.+?)}" "foo{...}bar{.....}{..}baz{....}frob" (list "[" #'how-many " dots]")) "foo[3 dots]bar[5 dots][2 dots]baz[4 dots]frob")) (let ((qp-regex (create-scanner "[\\x80-\\xff]"))) (flet ((encode-quoted-printable (string) "Converts 8-bit string to quoted-printable representation. Version using SIMPLE-CALLS keyword argument." ;; ;; won't work for Corman Lisp because non-ASCII characters aren't 8-bit there (flet ((convert (match) (format nil "=~2,'0x" (char-code (char match 0))))) (regex-replace-all qp-regex string #'convert :simple-calls t)))) (string= (encode-quoted-printable "Fête Sørensen naïve Hühner Straße") "F=EAte S=F8rensen na=EFve H=FChner Stra=DFe"))) (flet ((how-many (match first-register) (declare (ignore match)) (format nil "~A" (length first-register)))) (string= (regex-replace-all "{(.+?)}" "foo{...}bar{.....}{..}baz{....}frob" (list "[" #'how-many " dots]") :simple-calls t) "foo[3 dots]bar[5 dots][2 dots]baz[4 dots]frob")) (flet ((my-repetition (char min) `(:greedy-repetition ,min nil ,char))) (setf (parse-tree-synonym 'a*) (my-repetition #\a 0) (parse-tree-synonym 'b+) (my-repetition #\b 1)) (unwind-protect (let ((scanner (create-scanner '(:sequence a* b+)))) (equal (mapcar (lambda (target) (scan scanner target)) '("ab" "b" "aab" "a" "x")) (list 0 0 0 nil nil))) (setf (parse-tree-synonym 'a*) nil (parse-tree-synonym 'b+) nil))) (null (scan "^a+$" "a+")) (let ((*allow-quoting* t)) ;;we use CREATE-SCANNER because of Lisps like SBCL that don't have an interpreter (equalp (multiple-value-list (scan (create-scanner "^\\Qa+\\E$") "a+")) (list 0 2 #() #()))) (string= (parse-string "\\k") "k") (let ((*allow-named-registers* t)) (equal (nth-value 1 (create-scanner "((?[a-z]*)(?[A-Z]*))")) (list nil "small" "big"))) (let ((*allow-named-registers* t)) (equal (nth-value 1 (create-scanner '(:register (:sequence (:named-register "small" (:greedy-repetition 0 nil (:char-class (:range #\a #\z)))) (:named-register "big" (:greedy-repetition 0 nil (:char-class (:range #\a #\z)))))))) (list nil "small" "big"))) (let ((*allow-named-registers* t)) (equalp (multiple-value-list (scan (create-scanner "((?[a-z]*)(?[A-Z]*))") "aaaBBB")) (list 0 6 #(0 0 3) #(6 3 6)))) (let ((*allow-named-registers* t)) ;; multiple-choice back-reference (equalp (multiple-value-list (scan (create-scanner "^(?[ab])(?[12])\\k\\k$") "a1aa")) (list 0 4 #(0 1) #(1 2)))) (let ((*allow-named-registers* t)) (equalp (multiple-value-list (scan (create-scanner "^(?[ab])(?[12])\\k\\k$") "a22a")) (list 0 4 #(0 1) #(1 2)))) (let ((*allow-named-registers* t)) ;; demonstrating most-recently-seen-register-first property of back-reference; ;; "greedy" regex (analogous to "aa?") (equalp (multiple-value-list (scan (create-scanner "^(?)(?a)(\\k)") "a")) (list 0 1 #(0 0 1) #(0 1 1)))) (let ((*allow-named-registers* t)) (equalp (multiple-value-list (scan (create-scanner "^(?)(?a)(\\k)") "aa")) (list 0 2 #(0 0 1) #(0 1 2)))) (let ((*allow-named-registers* t)) ;; switched groups ;; "lazy" regex (analogous to "aa??") (equalp (multiple-value-list (scan (create-scanner "^(?a)(?)(\\k)") "a")) (list 0 1 #(0 1 1) #(1 1 1)))) (let ((*allow-named-registers* t)) ;; scanner ignores the second "a" (equalp (multiple-value-list (scan (create-scanner "^(?a)(?)(\\k)") "aa")) (list 0 1 #(0 1 1) #(1 1 1)))) (let ((*allow-named-registers* t)) ;; "aa" will be matched only when forced by adding "$" at the end (equalp (multiple-value-list (scan (create-scanner "^(?a)(?)(\\k)$") "aa")) (list 0 2 #(0 1 1) #(1 1 2)))) (string= (quote-meta-chars "[a-z]*") "\\[a\\-z\\]\\*") (string= (handler-case (create-scanner "foo**x") (ppcre-syntax-error (condition) (format nil "Houston, we've got a problem with the string ~S: Looks like something went wrong at position ~A. The last message we received was \"~?\"." (ppcre-syntax-error-string condition) (ppcre-syntax-error-pos condition) (simple-condition-format-control condition) (simple-condition-format-arguments condition)))) "Houston, we've got a problem with the string \"foo**x\": Looks like something went wrong at position 4. The last message we received was \"Quantifier '*' not allowed.\".") (flet ((my-weird-filter (pos) "Only match at this point if either pos is odd and the character we're looking at is lowercase or if pos is even and the next two characters we're looking at are uppercase. Consume these characters if there's a match." (cond ((and (oddp pos) (< pos cl-ppcre::*end-pos*) (lower-case-p (char cl-ppcre::*string* pos))) (1+ pos)) ((and (evenp pos) (< (1+ pos) cl-ppcre::*end-pos*) (upper-case-p (char cl-ppcre::*string* pos)) (upper-case-p (char cl-ppcre::*string* (1+ pos)))) (+ pos 2)) (t nil)))) (let ((weird-regex `(:sequence "+" (:filter ,#'my-weird-filter) "+"))) (equalp (multiple-value-list (scan weird-regex "+A++a+AA+")) (list 5 9 #() #())))) (let ((a "\\E*")) (equalp (multiple-value-list (scan (concatenate 'string "(?:" (quote-meta-chars a) "){2}") "\\E*\\E*")) (list 0 6 #() #()))) (let ((a "\\E*")) (equalp (multiple-value-list (scan `(:greedy-repetition 2 2 ,a) "\\E*\\E*")) (list 0 6 #() #()))) (loop for *optimize-char-classes* in '(:hash-table :hash-table* :charset :charset* :charmap) for s = (create-scanner "(([a-c])+)x") always (equalp (multiple-value-list (scan s "abcxy")) (list 0 4 #(0 2) #(3 3)))) (labels ((char-code-odd-p (char) (oddp (char-code char))) (char-code-even-p (char) (evenp (char-code char))) (resolver (name) (cond ((string= name "odd") #'char-code-odd-p) ((string= name "even") #'char-code-even-p) ((string= name "true") (constantly t)) (t (error "Can't resolve ~S." name))))) (equalp (let ((*property-resolver* #'resolver)) (list (regex-replace-all (create-scanner "\\p{odd}") "abcd" "+") (regex-replace-all (create-scanner "\\p{even}") "abcd" "+") (regex-replace-all (create-scanner "\\p{true}") "abcd" "+"))) '("+b+d" "a+c+" "++++"))) cafeobj-1.5.4/cl-ppcre/test/tests.lisp0000644000000000000000000001676712403660236016352 0ustar rootroot;;; -*- Mode: LISP; Syntax: COMMON-LISP; Package: CL-PPCRE-TEST; Base: 10 -*- ;;; $Header: /usr/local/cvsrep/cl-ppcre/test/tests.lisp,v 1.13 2009/09/17 19:17:36 edi Exp $ ;;; The tests in this file test CL-PPCRE against testdata generated by ;;; the Perl program `perltest.pl' from the input file `testinput' in ;;; order to check compatibility with Perl and correctness of the ;;; regex engine. ;;; Copyright (c) 2002-2009, Dr. Edmund Weitz. All rights reserved. ;;; Redistribution and use in source and binary forms, with or without ;;; modification, are permitted provided that the following conditions ;;; are met: ;;; * Redistributions of source code must retain the above copyright ;;; notice, this list of conditions and the following disclaimer. ;;; * Redistributions in binary form must reproduce the above ;;; copyright notice, this list of conditions and the following ;;; disclaimer in the documentation and/or other materials ;;; provided with the distribution. ;;; THIS SOFTWARE IS PROVIDED BY THE AUTHOR 'AS IS' AND ANY EXPRESSED ;;; OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED ;;; WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ;;; ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY ;;; DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL ;;; DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE ;;; GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS ;;; INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, ;;; WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING ;;; NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS ;;; SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. (in-package :cl-ppcre-test) (defvar *this-file* (load-time-value (or #.*compile-file-pathname* *load-pathname*)) "The location of this source file.") (defmacro do-tests ((name &optional show-progress-p) &body body) "Helper macro which repeatedly executes BODY until the code in body calls the function DONE. It is assumed that each invocation of BODY will be the execution of one test which returns NIL in case of success and list of string describing errors otherwise. The macro prints a simple progress indicator \(one dots for ten tests) to *STANDARD-OUTPUT* unless SHOW-PROGRESS-P is NIL and returns a true value iff all tests succeeded. Errors in BODY are caught and reported \(and counted as failures)." `(let ((successp t) (testcount 1)) (block test-block (flet ((done () (return-from test-block successp))) (format t "~&Test: ~A~%" ,name) (loop (when (and ,show-progress-p (zerop (mod testcount 10))) (format t ".") (when (zerop (mod testcount 100)) (terpri)) (force-output)) (let ((errors (handler-case (progn ,@body) (error (msg) (list (format nil "~&got an unexpected error: ~A" msg)))))) (setq successp (and successp (null errors))) (when errors (format t "~&~4@A:~{~& ~A~}~%" testcount errors)) (incf testcount))))) successp)) (defun simple-tests (&key (file-name (make-pathname :name "simple" :type nil :version nil :defaults *this-file*)) (external-format '(:latin-1 :eol-style :lf)) verbose) "Loops through all the forms in the file FILE-NAME and executes each of them using EVAL. It is assumed that each FORM specifies a test which returns a true value iff it succeeds. Prints each test form to *STANDARD-OUTPUT* if VERBOSE is true and shows a simple progress indicator otherwise. EXTERNAL-FORMAT is the FLEXI-STREAMS external format which is used to read the file. Returns a true value iff all tests succeeded." (with-open-file (binary-stream file-name :element-type 'flex:octet) (let ((stream (flex:make-flexi-stream binary-stream :external-format external-format)) (*package* (find-package :cl-ppcre-test))) (do-tests ((format nil "Simple tests from file ~S" (file-namestring file-name)) (not verbose)) (let ((form (or (read stream nil) (done)))) (when verbose (format t "~&~S" form)) (cond ((eval form) nil) (t (list (format nil "~S returned NIL" form))))))))) (defun random-test-function (probability) "Returns a random character test function which contains each character with probability PROBABILITY." (let ((hash-table (make-hash-table))) (dotimes (code char-code-limit) (let ((char (code-char code))) (when (and char (< (random 1.0d0) probability)) (setf (gethash (code-char code) hash-table) t)))) (lambda (char) (gethash char hash-table)))) (defun test-optimized-test-functions% (probability) "Creates a random test function with probability PROBABILITY and six \(one for each possible \"kind\") corresponding optimized test functions, then checks for each character in turn that all functions agree on it." (let* ((test-function (random-test-function probability)) (optimized-functions (loop for kind in '(nil :hash-table :hash-table* :charset :charset* :charmap) collect (create-optimized-test-function test-function :kind kind)))) (loop for code below char-code-limit for char = (code-char code) for expected-result = (and char (funcall test-function char)) always (or (null char) (loop for optimized-function in optimized-functions always (eq (not (funcall optimized-function char)) (not expected-result))))))) (defun test-optimized-test-functions (&key verbose) "Runs TEST-OPTIMIZED-TEST-FUNCTIONS% with different probabilities." (let ((probabilities '(0 .001 .01 .1 1))) (do-tests ("Optimized test functions - this might take some time..." (not verbose)) (let ((probability (or (pop probabilities) (done)))) (when verbose (format t "~&Probability is ~A" probability)) (not (test-optimized-test-functions% probability)))))) (defun run-all-tests (&key more-tests verbose) "Runs all tests for CL-PPCRE and returns a true value iff all tests succeeded. VERBOSE is interpreted by the individual test suites. MORE-TESTS can be a list of function designators designating additional tests to run. This facility is used by the tests for CL-PPCRE-UNICODE." (let ((successp t)) (macrolet ((run-test-suite (&body body) `(unless (progn ,@body) (setq successp nil)))) ;; run the automatically generated Perl tests (run-test-suite (perl-test :verbose verbose)) (run-test-suite (test-optimized-test-functions :verbose verbose)) (run-test-suite (simple-tests :verbose verbose)) (when more-tests (unless (listp more-tests) (setq more-tests (list more-tests)) (dolist (test more-tests) (run-test-suite (funcall test :verbose verbose)))))) (format t "~2&~:[Some tests failed~;All tests passed~]." successp) successp)) cafeobj-1.5.4/cl-ppcre/test/unicode-tests.lisp0000644000000000000000000001101312403660236017751 0ustar rootroot;;; -*- Mode: LISP; Syntax: COMMON-LISP; Package: CL-PPCRE-TEST; Base: 10 -*- ;;; $Header: /usr/local/cvsrep/cl-ppcre/test/unicode-tests.lisp,v 1.8 2008/07/23 00:17:53 edi Exp $ ;;; Copyright (c) 2008, Dr. Edmund Weitz. All rights reserved. ;;; Redistribution and use in source and binary forms, with or without ;;; modification, are permitted provided that the following conditions ;;; are met: ;;; * Redistributions of source code must retain the above copyright ;;; notice, this list of conditions and the following disclaimer. ;;; * Redistributions in binary form must reproduce the above ;;; copyright notice, this list of conditions and the following ;;; disclaimer in the documentation and/or other materials ;;; provided with the distribution. ;;; THIS SOFTWARE IS PROVIDED BY THE AUTHOR 'AS IS' AND ANY EXPRESSED ;;; OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED ;;; WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ;;; ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY ;;; DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL ;;; DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE ;;; GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS ;;; INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, ;;; WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING ;;; NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS ;;; SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. (in-package :cl-ppcre-test) (defun unicode-test (&key (file-name (make-pathname :name "unicodetestdata" :type nil :version nil :defaults *this-file*) file-name-provided-p) verbose) "Loops through all test cases in FILE-NAME and prints a report if VERBOSE is true. Returns a true value if all tests succeeded. For the syntax of the tests in FILE-NAME refer to CL-UNICODE." (with-open-file (stream file-name) (let ((*regex-char-code-limit* (if file-name-provided-p *regex-char-code-limit* char-code-limit)) (*optimize-char-classes* (if file-name-provided-p *optimize-char-classes* nil)) ;; we only check for correctness and don't care about speed ;; that match (but rather about space constraints of the ;; trial versions) (*use-bmh-matchers* (if file-name-provided-p *use-bmh-matchers* nil))) (do-tests ((format nil "Running Unicode tests in file ~S" (file-namestring file-name)) (not verbose)) (let ((input-line (or (read stream nil) (done))) errors) (destructuring-bind (char-code property-name expected-result) input-line (let ((char (and (< char-code char-code-limit) (code-char char-code)))) (when char (when verbose (format t "~&~A: #x~X" property-name char-code)) (let* ((string (string char)) (result-1 (scan (format nil "\\p{~A}" property-name) string)) (result-2 (scan (format nil "[\\p{~A}]" property-name) string)) (inverted-result-1 (scan (format nil "\\P{~A}" property-name) string)) (inverted-result-2 (scan (format nil "[\\P{~A}]" property-name) string))) (unless (eq expected-result (not (not result-1))) (push (format nil "\(code-char #x~X) should ~:[not ~;~]have matched \"\\p{~A}\"" char-code expected-result property-name) errors)) (unless (eq expected-result (not (not result-2))) (push (format nil "\(code-char #x~X) should ~:[not ~;~]have matched \"[\\p{~A}]\"" char-code expected-result property-name) errors)) (unless (eq expected-result (not inverted-result-1)) (push (format nil "\(code-char #x~X) should ~:[~;not ~]have matched \"\\P{~A}\"" char-code expected-result property-name) errors)) (unless (eq expected-result (not inverted-result-2)) (push (format nil "\(code-char #x~X) should ~:[~;not ~]have matched \"[\\P{~A}]\"" char-code expected-result property-name) errors))) errors)))))))) cafeobj-1.5.4/cl-ppcre/test/unicodetestdata0000644000000000000000000000562512403660236017411 0ustar rootroot;;; -*- Mode: LISP; Syntax: COMMON-LISP; Package: CL-USER; Base: 10 -*- ;;; $Header: /usr/local/cvsrep/cl-ppcre/test/unicodetestdata,v 1.10 2008/07/22 14:00:35 edi Exp $ ;;; some arbitrary test data for Unicode properties - stolen from CL-UNICODE (#x0001 "ASCII" t) (#x0100 "ASCII" nil) (#x000A "Alphabetic" nil) (#x0061 "Alphabetic" t) (#x0061 "Ll" t) (#x0041 "Alphabetic" t) (#x0041 "alphabetic" t) (#x0041 "IsAlphabetic" t) (#x02E4 "Alphabetic" t) (#x0970 "Alphabetic" nil) (#x030D "BidiClass:NonspacingMark" t) (#x030D "NonspacingMark" t) (#x030D "nonspacing mark" t) (#xE0146 "BidiClass:NonspacingMark" t) (#x000D "BidiClass:WhiteSpace" nil) (#x0020 "BidiClass:WhiteSpace" t) (#x2006 "BidiClass:WhiteSpace" t) (#x12470 "Cuneiform" t) (#x12470 "IsCuneiform" t) (#x12470 "CuneiformNumbersAndPunctuation" t) (#x12470 "Block:CuneiformNumbersAndPunctuation" t) (#x12470 "InCuneiformNumbersAndPunctuation" t) (#x12470 "Script:Cuneiform" t) (#x0041 "Block:Hebrew" nil) (#x0593 "Block:Hebrew" t) (#x0593 "InHebrew" t) (#x040D "Block:Cyrillic" t) (#x040D "InCyrillic" t) (#x0042 "Block:Cyrillic" nil) (#x2011 "Dash" t) (#x2011 "IsDash" t) (#xFF0D "Dash" t) (#x003D "Dash" nil) (#x00F0 "Lowercase" t) (#x00F0 "IsLowercase" t) (#x00F0 "lowercase" t) (#x00F0 "Ll" t) (#x0067 "Lowercase" t) (#x010A "Lowercase" nil) (#x1D6C1 "Lowercase" nil) (#x0023 "CurrencySymbol" nil) (#x0024 "CurrencySymbol" t) (#x0024 "IsCurrencySymbol" t) (#x0024 "currency symbol" t) (#x20AC "CurrencySymbol" t) (#xFFE6 "CurrencySymbol" t) (#x002B "Sm" t) (#x002B "Math" t) (#x002B "IsMath" t) (#x002B "math" t) (#x211C "Math" t) (#x1D7D2 "Math" t) (#x002A "Math" nil) (#x25C9 "Math" nil) (#x0000 "NonCharacterCodePoint" nil) (#xFDD0 "NonCharacterCodePoint" t) (#xFDD0 "Non-Character-Code-Point" t) (#xFDD0 "non-character-code-point" t) (#xFFFFF "NonCharacterCodePoint" t) (#x0043 "Arabic" nil) (#x0606 "Arabic" t) (#x0606 "arabic" t) (#x0606 "IsArabic" t) (#x0606 "Script:Arabic" t) (#x0044 "IsVariationSelector" nil) (#x0044 "VariationSelector" nil) (#x180B "VariationSelector" t) (#x180B "Variation_Selector" t) (#x180B "Variation-Selector" t) (#x180B "variationselector" t) (#x180B "variation selector" t) (#x180B "IsVariationSelector" t) (#x00B5 "XIDContinue" t) (#x00B5 "IsXIDContinue" t) (#x00B5 "IsXID_Continue" t) (#x00B5 "Is_XID_Continue" t) (#x00B5 "XID_Continue" t) (#x33FF "Unified_Ideograph" nil) (#x33FF "Ideographic" nil) (#x3400 "Unified_Ideograph" t) (#x3400 "Ideographic" t) (#x3400 "Han" t) (#x3400 "OtherLetter" t) (#x3400 "Alphabetic" t) (#x3400 "Common" nil) (#x3400 "Assigned" t) (#x3400 "Any" t) (#x0378 "Cn" t) (#x0378 "Unassigned" t) (#x0377 "Cn" nil) (#x0377 "Unassigned" nil) (#x2800 "Braille" t) (#x2800 "Script:Braille" t) (#x2800 "OtherSymbol" t) (#x0027 "QuotationMark" t) (#x201C "QuotationMark" t) (#x201C "OtherNeutral" t) (#x201C "PatternSyntax" t) (#x0028 "Bidi_Mirrored" t) (#x0028 "BidiMirrored" t) (#x0028 "IsBidiMirrored" t) (#x0027 "Bidi_Mirrored" nil) cafeobj-1.5.4/cl-ppcre/util.lisp0000644000000000000000000002027412403660236015172 0ustar rootroot;;; -*- Mode: LISP; Syntax: COMMON-LISP; Package: CL-PPCRE; Base: 10 -*- ;;; $Header: /usr/local/cvsrep/cl-ppcre/util.lisp,v 1.48 2009/10/28 07:36:15 edi Exp $ ;;; Utility functions and constants dealing with the character sets we ;;; use to encode character classes ;;; Copyright (c) 2002-2009, Dr. Edmund Weitz. All rights reserved. ;;; Redistribution and use in source and binary forms, with or without ;;; modification, are permitted provided that the following conditions ;;; are met: ;;; * Redistributions of source code must retain the above copyright ;;; notice, this list of conditions and the following disclaimer. ;;; * Redistributions in binary form must reproduce the above ;;; copyright notice, this list of conditions and the following ;;; disclaimer in the documentation and/or other materials ;;; provided with the distribution. ;;; THIS SOFTWARE IS PROVIDED BY THE AUTHOR 'AS IS' AND ANY EXPRESSED ;;; OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED ;;; WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ;;; ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY ;;; DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL ;;; DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE ;;; GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS ;;; INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, ;;; WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING ;;; NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS ;;; SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. (in-package :cl-ppcre) (defmacro defconstant (name value &optional doc) "Make sure VALUE is evaluated only once \(to appease SBCL)." `(cl:defconstant ,name (if (boundp ',name) (symbol-value ',name) ,value) ,@(when doc (list doc)))) #+:lispworks (eval-when (:compile-toplevel :load-toplevel :execute) (import 'lw:with-unique-names)) #-:lispworks (defmacro with-unique-names ((&rest bindings) &body body) "Syntax: WITH-UNIQUE-NAMES ( { var | (var x) }* ) declaration* form* Executes a series of forms with each VAR bound to a fresh, uninterned symbol. The uninterned symbol is as if returned by a call to GENSYM with the string denoted by X - or, if X is not supplied, the string denoted by VAR - as argument. The variable bindings created are lexical unless special declarations are specified. The scopes of the name bindings and declarations do not include the Xs. The forms are evaluated in order, and the values of all but the last are discarded \(that is, the body is an implicit PROGN)." ;; reference implementation posted to comp.lang.lisp as ;; by Vebjorn Ljosa - see also ;; `(let ,(mapcar #'(lambda (binding) (check-type binding (or cons symbol)) (if (consp binding) (destructuring-bind (var x) binding (check-type var symbol) `(,var (gensym ,(etypecase x (symbol (symbol-name x)) (character (string x)) (string x))))) `(,binding (gensym ,(symbol-name binding))))) bindings) ,@body)) #+:lispworks (eval-when (:compile-toplevel :load-toplevel :execute) (setf (macro-function 'with-rebinding) (macro-function 'lw:rebinding))) #-:lispworks (defmacro with-rebinding (bindings &body body) "WITH-REBINDING ( { var | (var prefix) }* ) form* Evaluates a series of forms in the lexical environment that is formed by adding the binding of each VAR to a fresh, uninterned symbol, and the binding of that fresh, uninterned symbol to VAR's original value, i.e., its value in the current lexical environment. The uninterned symbol is created as if by a call to GENSYM with the string denoted by PREFIX - or, if PREFIX is not supplied, the string denoted by VAR - as argument. The forms are evaluated in order, and the values of all but the last are discarded \(that is, the body is an implicit PROGN)." ;; reference implementation posted to comp.lang.lisp as ;; by Vebjorn Ljosa - see also ;; (loop for binding in bindings for var = (if (consp binding) (car binding) binding) for name = (gensym) collect `(,name ,var) into renames collect ``(,,var ,,name) into temps finally (return `(let ,renames (with-unique-names ,bindings `(let (,,@temps) ,,@body)))))) (declaim (inline digit-char-p)) (defun digit-char-p (chr) (declare #.*standard-optimize-settings*) "Tests whether a character is a decimal digit, i.e. the same as Perl's [\\d]. Note that this function shadows the standard Common Lisp function CL:DIGIT-CHAR-P." (char<= #\0 chr #\9)) (declaim (inline word-char-p)) (defun word-char-p (chr) (declare #.*standard-optimize-settings*) "Tests whether a character is a \"word\" character. In the ASCII charset this is equivalent to a-z, A-Z, 0-9, or _, i.e. the same as Perl's [\\w]." (or (alphanumericp chr) (char= chr #\_))) (defconstant +whitespace-char-string+ (coerce '(#\Space #\Tab #\Linefeed #\Return #\Page) 'string) "A string of all characters which are considered to be whitespace. Same as Perl's [\\s].") (defun whitespacep (chr) (declare #.*special-optimize-settings*) "Tests whether a character is whitespace, i.e. whether it would match [\\s] in Perl." (find chr +whitespace-char-string+ :test #'char=)) (defmacro maybe-coerce-to-simple-string (string) "Coerces STRING to a simple STRING unless it already is one." (with-unique-names (=string=) `(let ((,=string= ,string)) (cond (#+:lispworks (lw:simple-text-string-p ,=string=) #-:lispworks (simple-string-p ,=string=) ,=string=) (t (coerce ,=string= #+:lispworks 'lw:simple-text-string #-:lispworks 'simple-string)))))) (declaim (inline nsubseq)) (defun nsubseq (sequence start &optional (end (length sequence))) "Returns a subsequence by pointing to location in original sequence." (make-array (- end start) :element-type (array-element-type sequence) :displaced-to sequence :displaced-index-offset start)) (defun normalize-var-list (var-list) "Utility function for REGISTER-GROUPS-BIND and DO-REGISTER-GROUPS. Creates the long form \(a list of \(FUNCTION VAR) entries) out of the short form of VAR-LIST." (loop for element in var-list if (consp element) nconc (loop for var in (rest element) collect (list (first element) var)) else collect (list '(function identity) element))) (defun string-list-to-simple-string (string-list) "Concatenates a list of strings to one simple-string." (declare #.*standard-optimize-settings*) ;; this function provided by JP Massar; note that we can't use APPLY ;; with CONCATENATE here because of CALL-ARGUMENTS-LIMIT (let ((total-size 0)) (declare (fixnum total-size)) (dolist (string string-list) #-:genera (declare (string string)) (incf total-size (length string))) (let ((result-string (make-sequence #-:lispworks 'simple-string #+:lispworks 'lw:simple-text-string total-size)) (curr-pos 0)) (declare (fixnum curr-pos)) (dolist (string string-list) #-:genera (declare (string string)) (replace result-string string :start1 curr-pos) (incf curr-pos (length string))) result-string))) (defun complement* (test-function) "Like COMPLEMENT but optimized for unary functions." (declare #.*standard-optimize-settings*) (typecase test-function (function (lambda (char) (declare (character char)) (not (funcall (the function test-function) char)))) (otherwise (lambda (char) (declare (character char)) (not (funcall test-function char))))))cafeobj-1.5.4/cl-ppcre/api.lisp0000644000000000000000000017204112605345045014770 0ustar rootroot;;; -*- Mode: LISP; Syntax: COMMON-LISP; Package: CL-PPCRE; Base: 10 -*- ;;; $Header: /usr/local/cvsrep/cl-ppcre/api.lisp,v 1.85 2009/09/17 19:17:30 edi Exp $ ;;; The external API for creating and using scanners. ;;; Copyright (c) 2002-2009, Dr. Edmund Weitz. All rights reserved. ;;; Redistribution and use in source and binary forms, with or without ;;; modification, are permitted provided that the following conditions ;;; are met: ;;; * Redistributions of source code must retain the above copyright ;;; notice, this list of conditions and the following disclaimer. ;;; * Redistributions in binary form must reproduce the above ;;; copyright notice, this list of conditions and the following ;;; disclaimer in the documentation and/or other materials ;;; provided with the distribution. ;;; THIS SOFTWARE IS PROVIDED BY THE AUTHOR 'AS IS' AND ANY EXPRESSED ;;; OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED ;;; WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ;;; ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY ;;; DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL ;;; DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE ;;; GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS ;;; INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, ;;; WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING ;;; NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS ;;; SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. (in-package :cl-ppcre) (defgeneric create-scanner (regex &key case-insensitive-mode multi-line-mode single-line-mode extended-mode destructive) (:documentation "Accepts a regular expression - either as a parse-tree or as a string - and returns a scan closure which will scan strings for this regular expression and a list mapping registers to their names \(NIL stands for unnamed ones). The \"mode\" keyboard arguments are equivalent to the imsx modifiers in Perl. If DESTRUCTIVE is not NIL, the function is allowed to destructively modify its first argument \(but only if it's a parse tree).")) #-:use-acl-regexp2-engine (defmethod create-scanner ((regex-string string) &key case-insensitive-mode multi-line-mode single-line-mode extended-mode destructive) (declare #.*standard-optimize-settings*) (declare (ignore destructive)) ;; parse the string into a parse-tree and then call CREATE-SCANNER ;; again (let* ((*extended-mode-p* extended-mode) (quoted-regex-string (if *allow-quoting* (quote-sections (clean-comments regex-string extended-mode)) regex-string)) (*syntax-error-string* (copy-seq quoted-regex-string))) ;; wrap the result with :GROUP to avoid infinite loops for ;; constant strings (create-scanner (cons :group (list (parse-string quoted-regex-string))) :case-insensitive-mode case-insensitive-mode :multi-line-mode multi-line-mode :single-line-mode single-line-mode :destructive t))) #-:use-acl-regexp2-engine (defmethod create-scanner ((scanner function) &key case-insensitive-mode multi-line-mode single-line-mode extended-mode destructive) (declare #.*standard-optimize-settings*) (declare (ignore destructive)) (when (or case-insensitive-mode multi-line-mode single-line-mode extended-mode) (signal-invocation-error "You can't use the keyword arguments to modify an existing scanner.")) scanner) #-:use-acl-regexp2-engine (defmethod create-scanner ((parse-tree t) &key case-insensitive-mode multi-line-mode single-line-mode extended-mode destructive) (declare #.*standard-optimize-settings*) (when extended-mode (signal-invocation-error "Extended mode doesn't make sense in parse trees.")) ;; convert parse-tree into internal representation REGEX and at the ;; same time compute the number of registers and the constant string ;; (or anchor) the regex starts with (if any) (unless destructive (setq parse-tree (copy-tree parse-tree))) (let (flags) (if single-line-mode (push :single-line-mode-p flags)) (if multi-line-mode (push :multi-line-mode-p flags)) (if case-insensitive-mode (push :case-insensitive-p flags)) (when flags (setq parse-tree (list :group (cons :flags flags) parse-tree)))) (let ((*syntax-error-string* nil)) (multiple-value-bind (regex reg-num starts-with reg-names) (convert parse-tree) ;; simplify REGEX by flattening nested SEQ and ALTERNATION ;; constructs and gathering STR objects (let ((regex (gather-strings (flatten regex)))) ;; set the MIN-REST slots of the REPETITION objects (compute-min-rest regex 0) ;; set the OFFSET slots of the STR objects (compute-offsets regex 0) (let* (end-string-offset end-anchored-p ;; compute the constant string the regex ends with (if ;; any) and at the same time set the special variables ;; END-STRING-OFFSET and END-ANCHORED-P (end-string (end-string regex)) ;; if we found a non-zero-length end-string we create an ;; efficient search function for it (end-string-test (and end-string (plusp (len end-string)) (if (= 1 (len end-string)) (create-char-searcher (schar (str end-string) 0) (case-insensitive-p end-string)) (create-bmh-matcher (str end-string) (case-insensitive-p end-string))))) ;; initialize the counters for CREATE-MATCHER-AUX (*rep-num* 0) (*zero-length-num* 0) ;; create the actual matcher function (which does all the ;; work of matching the regular expression) corresponding ;; to REGEX and at the same time set the special ;; variables *REP-NUM* and *ZERO-LENGTH-NUM* (match-fn (create-matcher-aux regex #'identity)) ;; if the regex starts with a string we create an ;; efficient search function for it (start-string-test (and (typep starts-with 'str) (plusp (len starts-with)) (if (= 1 (len starts-with)) (create-char-searcher (schar (str starts-with) 0) (case-insensitive-p starts-with)) (create-bmh-matcher (str starts-with) (case-insensitive-p starts-with)))))) (declare (special end-string-offset end-anchored-p end-string)) ;; now create the scanner and return it (values (create-scanner-aux match-fn (regex-min-length regex) (or (start-anchored-p regex) ;; a dot in single-line-mode also ;; implicitly anchors the regex at ;; the start, i.e. if we can't match ;; from the first position we won't ;; match at all (and (typep starts-with 'everything) (single-line-p starts-with))) starts-with start-string-test ;; only mark regex as end-anchored if we ;; found a non-zero-length string before ;; the anchor (and end-string-test end-anchored-p) end-string-test (if end-string-test (len end-string) nil) end-string-offset *rep-num* *zero-length-num* reg-num) reg-names)))))) #+:use-acl-regexp2-engine (declaim (inline create-scanner)) #+:use-acl-regexp2-engine (defmethod create-scanner ((scanner regexp::regular-expression) &key case-insensitive-mode multi-line-mode single-line-mode extended-mode destructive) (declare #.*standard-optimize-settings*) (declare (ignore destructive)) (when (or case-insensitive-mode multi-line-mode single-line-mode extended-mode) (signal-invocation-error "You can't use the keyword arguments to modify an existing scanner.")) scanner) #+:use-acl-regexp2-engine (defmethod create-scanner ((parse-tree t) &key case-insensitive-mode multi-line-mode single-line-mode extended-mode destructive) (declare #.*standard-optimize-settings*) (declare (ignore destructive)) (excl:compile-re parse-tree :case-fold case-insensitive-mode :ignore-whitespace extended-mode :multiple-lines multi-line-mode :single-line single-line-mode :return :index)) (defgeneric scan (regex target-string &key start end real-start-pos) (:documentation "Searches TARGET-STRING from START to END and tries to match REGEX. On success returns four values - the start of the match, the end of the match, and two arrays denoting the beginnings and ends of register matches. On failure returns NIL. REGEX can be a string which will be parsed according to Perl syntax, a parse tree, or a pre-compiled scanner created by CREATE-SCANNER. TARGET-STRING will be coerced to a simple string if it isn't one already. The REAL-START-POS parameter should be ignored - it exists only for internal purposes.")) #-:use-acl-regexp2-engine (defmethod scan ((regex-string string) target-string &key (start 0) (end (length target-string)) ((:real-start-pos *real-start-pos*) nil)) (declare #.*standard-optimize-settings*) ;; note that the scanners are optimized for simple strings so we ;; have to coerce TARGET-STRING into one if it isn't already (funcall (create-scanner regex-string) (maybe-coerce-to-simple-string target-string) start end)) #-:use-acl-regexp2-engine (defmethod scan ((scanner function) target-string &key (start 0) (end (length target-string)) ((:real-start-pos *real-start-pos*) nil)) (declare #.*standard-optimize-settings*) (funcall scanner (maybe-coerce-to-simple-string target-string) start end)) #-:use-acl-regexp2-engine (defmethod scan ((parse-tree t) target-string &key (start 0) (end (length target-string)) ((:real-start-pos *real-start-pos*) nil)) (declare #.*standard-optimize-settings*) (funcall (create-scanner parse-tree) (maybe-coerce-to-simple-string target-string) start end)) #+:use-acl-regexp2-engine (declaim (inline scan)) #+:use-acl-regexp2-engine (defmethod scan ((parse-tree t) target-string &key (start 0) (end (length target-string)) ((:real-start-pos *real-start-pos*) nil)) (declare #.*standard-optimize-settings*) (when (< end start) (return-from scan nil)) (let ((results (multiple-value-list (excl:match-re parse-tree target-string :start start :end end :return :index)))) (declare (dynamic-extent results)) (cond ((null (first results)) nil) (t (let* ((no-of-regs (- (length results) 2)) (reg-starts (make-array no-of-regs :element-type '(or null fixnum))) (reg-ends (make-array no-of-regs :element-type '(or null fixnum))) (match (second results))) (loop for (start . end) in (cddr results) for i from 0 do (setf (aref reg-starts i) start (aref reg-ends i) end)) (values (car match) (cdr match) reg-starts reg-ends)))))) #-:cormanlisp (define-compiler-macro scan (&whole form &environment env regex target-string &rest rest) "Make sure that constant forms are compiled into scanners at compile time." (cond ((constantp regex env) `(scan (load-time-value (create-scanner ,regex)) ,target-string ,@rest)) (t form))) (defun scan-to-strings (regex target-string &key (start 0) (end (length target-string)) sharedp) "Like SCAN but returns substrings of TARGET-STRING instead of positions, i.e. this function returns two values on success: the whole match as a string plus an array of substrings (or NILs) corresponding to the matched registers. If SHAREDP is true, the substrings may share structure with TARGET-STRING." (declare #.*standard-optimize-settings*) (multiple-value-bind (match-start match-end reg-starts reg-ends) (scan regex target-string :start start :end end) (unless match-start (return-from scan-to-strings nil)) (let ((substr-fn (if sharedp #'nsubseq #'subseq))) (values (funcall substr-fn target-string match-start match-end) (map 'vector (lambda (reg-start reg-end) (if reg-start (funcall substr-fn target-string reg-start reg-end) nil)) reg-starts reg-ends))))) #-:cormanlisp (define-compiler-macro scan-to-strings (&whole form &environment env regex target-string &rest rest) "Make sure that constant forms are compiled into scanners at compile time." (cond ((constantp regex env) `(scan-to-strings (load-time-value (create-scanner ,regex)) ,target-string ,@rest)) (t form))) (defmacro register-groups-bind (var-list (regex target-string &key start end sharedp) &body body) "Executes BODY with the variables in VAR-LIST bound to the corresponding register groups after TARGET-STRING has been matched against REGEX, i.e. each variable is either bound to a string or to NIL. If there is no match, BODY is _not_ executed. For each element of VAR-LIST which is NIL there's no binding to the corresponding register group. The number of variables in VAR-LIST must not be greater than the number of register groups. If SHAREDP is true, the substrings may share structure with TARGET-STRING." (with-rebinding (target-string) (with-unique-names (match-start match-end reg-starts reg-ends start-index substr-fn) `(multiple-value-bind (,match-start ,match-end ,reg-starts ,reg-ends) (scan ,regex ,target-string :start (or ,start 0) :end (or ,end (length ,target-string))) (declare (ignore ,match-end)) (when ,match-start (let* ,(cons `(,substr-fn (if ,sharedp #'nsubseq #'subseq)) (loop for (function var) in (normalize-var-list var-list) for counter from 0 when var collect `(,var (let ((,start-index (aref ,reg-starts ,counter))) (if ,start-index (funcall ,function (funcall ,substr-fn ,target-string ,start-index (aref ,reg-ends ,counter))) nil))))) ,@body)))))) (defmacro do-scans ((match-start match-end reg-starts reg-ends regex target-string &optional result-form &key start end) &body body &environment env) "Iterates over TARGET-STRING and tries to match REGEX as often as possible evaluating BODY with MATCH-START, MATCH-END, REG-STARTS, and REG-ENDS bound to the four return values of each match in turn. After the last match, returns RESULT-FORM if provided or NIL otherwise. An implicit block named NIL surrounds DO-SCANS; RETURN may be used to terminate the loop immediately. If REGEX matches an empty string the scan is continued one position behind this match. BODY may start with declarations." (with-rebinding (target-string) (with-unique-names (%start %end %regex scanner) (declare (ignorable %regex scanner)) ;; the NIL BLOCK to enable exits via (RETURN ...) `(block nil (let* ((,%start (or ,start 0)) (,%end (or ,end (length ,target-string))) ,@(unless (constantp regex env) ;; leave constant regular expressions as they are - ;; SCAN's compiler macro will take care of them; ;; otherwise create a scanner unless the regex is ;; already a function (otherwise SCAN will do this ;; on each iteration) `((,%regex ,regex) (,scanner (typecase ,%regex (function ,%regex) (t (create-scanner ,%regex))))))) ;; coerce TARGET-STRING to a simple string unless it is one ;; already (otherwise SCAN will do this on each iteration) (setq ,target-string (maybe-coerce-to-simple-string ,target-string)) (loop ;; invoke SCAN and bind the returned values to the ;; provided variables (multiple-value-bind (,match-start ,match-end ,reg-starts ,reg-ends) (scan ,(cond ((constantp regex env) regex) (t scanner)) ,target-string :start ,%start :end ,%end :real-start-pos (or ,start 0)) ;; declare the variables to be IGNORABLE to prevent the ;; compiler from issuing warnings (declare (ignorable ,match-start ,match-end ,reg-starts ,reg-ends)) (unless ,match-start ;; stop iteration on first failure (return ,result-form)) ;; execute BODY (wrapped in LOCALLY so it can start with ;; declarations) (locally ,@body) ;; advance by one position if we had a zero-length match (setq ,%start (if (= ,match-start ,match-end) (1+ ,match-end) ,match-end))))))))) (defmacro do-matches ((match-start match-end regex target-string &optional result-form &key start end) &body body) "Iterates over TARGET-STRING and tries to match REGEX as often as possible evaluating BODY with MATCH-START and MATCH-END bound to the start/end positions of each match in turn. After the last match, returns RESULT-FORM if provided or NIL otherwise. An implicit block named NIL surrounds DO-MATCHES; RETURN may be used to terminate the loop immediately. If REGEX matches an empty string the scan is continued one position behind this match. BODY may start with declarations." ;; this is a simplified form of DO-SCANS - we just provide two dummy ;; vars and ignore them (with-unique-names (reg-starts reg-ends) `(do-scans (,match-start ,match-end ,reg-starts ,reg-ends ,regex ,target-string ,result-form :start ,start :end ,end) ,@body))) (defmacro do-matches-as-strings ((match-var regex target-string &optional result-form &key start end sharedp) &body body) "Iterates over TARGET-STRING and tries to match REGEX as often as possible evaluating BODY with MATCH-VAR bound to the substring of TARGET-STRING corresponding to each match in turn. After the last match, returns RESULT-FORM if provided or NIL otherwise. An implicit block named NIL surrounds DO-MATCHES-AS-STRINGS; RETURN may be used to terminate the loop immediately. If REGEX matches an empty string the scan is continued one position behind this match. If SHAREDP is true, the substrings may share structure with TARGET-STRING. BODY may start with declarations." (with-rebinding (target-string) (with-unique-names (match-start match-end substr-fn) `(let ((,substr-fn (if ,sharedp #'nsubseq #'subseq))) ;; simple use DO-MATCHES to extract the substrings (do-matches (,match-start ,match-end ,regex ,target-string ,result-form :start ,start :end ,end) (let ((,match-var (funcall ,substr-fn ,target-string ,match-start ,match-end))) ,@body)))))) (defmacro do-register-groups (var-list (regex target-string &optional result-form &key start end sharedp) &body body) "Iterates over TARGET-STRING and tries to match REGEX as often as possible evaluating BODY with the variables in VAR-LIST bound to the corresponding register groups for each match in turn, i.e. each variable is either bound to a string or to NIL. For each element of VAR-LIST which is NIL there's no binding to the corresponding register group. The number of variables in VAR-LIST must not be greater than the number of register groups. After the last match, returns RESULT-FORM if provided or NIL otherwise. An implicit block named NIL surrounds DO-REGISTER-GROUPS; RETURN may be used to terminate the loop immediately. If REGEX matches an empty string the scan is continued one position behind this match. If SHAREDP is true, the substrings may share structure with TARGET-STRING. BODY may start with declarations." (with-rebinding (target-string) (with-unique-names (substr-fn match-start match-end reg-starts reg-ends start-index) `(let ((,substr-fn (if ,sharedp #'nsubseq #'subseq))) (do-scans (,match-start ,match-end ,reg-starts ,reg-ends ,regex ,target-string ,result-form :start ,start :end ,end) (let ,(loop for (function var) in (normalize-var-list var-list) for counter from 0 when var collect `(,var (let ((,start-index (aref ,reg-starts ,counter))) (if ,start-index (funcall ,function (funcall ,substr-fn ,target-string ,start-index (aref ,reg-ends ,counter))) nil)))) ,@body)))))) (defun all-matches (regex target-string &key (start 0) (end (length target-string))) "Returns a list containing the start and end positions of all matches of REGEX against TARGET-STRING, i.e. if there are N matches the list contains (* 2 N) elements. If REGEX matches an empty string the scan is continued one position behind this match." (declare #.*standard-optimize-settings*) (let (result-list) (do-matches (match-start match-end regex target-string (nreverse result-list) :start start :end end) (push match-start result-list) (push match-end result-list)))) #-:cormanlisp (define-compiler-macro all-matches (&whole form &environment env regex &rest rest) "Make sure that constant forms are compiled into scanners at compile time." (cond ((constantp regex env) `(all-matches (load-time-value (create-scanner ,regex)) ,@rest)) (t form))) (defun all-matches-as-strings (regex target-string &key (start 0) (end (length target-string)) sharedp) "Returns a list containing all substrings of TARGET-STRING which match REGEX. If REGEX matches an empty string the scan is continued one position behind this match. If SHAREDP is true, the substrings may share structure with TARGET-STRING." (declare #.*standard-optimize-settings*) (let (result-list) (do-matches-as-strings (match regex target-string (nreverse result-list) :start start :end end :sharedp sharedp) (push match result-list)))) #-:cormanlisp (define-compiler-macro all-matches-as-strings (&whole form &environment env regex &rest rest) "Make sure that constant forms are compiled into scanners at compile time." (cond ((constantp regex env) `(all-matches-as-strings (load-time-value (create-scanner ,regex)) ,@rest)) (t form))) (defun split (regex target-string &key (start 0) (end (length target-string)) limit with-registers-p omit-unmatched-p sharedp) "Matches REGEX against TARGET-STRING as often as possible and returns a list of the substrings between the matches. If WITH-REGISTERS-P is true, substrings corresponding to matched registers are inserted into the list as well. If OMIT-UNMATCHED-P is true, unmatched registers will simply be left out, otherwise they will show up as NIL. LIMIT limits the number of elements returned - registers aren't counted. If LIMIT is NIL \(or 0 which is equivalent), trailing empty strings are removed from the result list. If REGEX matches an empty string the scan is continued one position behind this match. If SHAREDP is true, the substrings may share structure with TARGET-STRING." (declare #.*standard-optimize-settings*) ;; initialize list of positions POS-LIST to extract substrings with ;; START so that the start of the next match will mark the end of ;; the first substring (let ((pos-list (list start)) (counter 0)) ;; how would Larry Wall do it? (when (eql limit 0) (setq limit nil)) (do-scans (match-start match-end reg-starts reg-ends regex target-string nil :start start :end end) (unless (and (= match-start match-end) (= match-start (car pos-list))) ;; push start of match on list unless this would be an empty ;; string adjacent to the last element pushed onto the list (when (and limit (>= (incf counter) limit)) (return)) (push match-start pos-list) (when with-registers-p ;; optionally insert matched registers (loop for reg-start across reg-starts for reg-end across reg-ends if reg-start ;; but only if they've matched do (push reg-start pos-list) (push reg-end pos-list) else unless omit-unmatched-p ;; or if we're allowed to insert NIL instead do (push nil pos-list) (push nil pos-list))) ;; now end of match (push match-end pos-list))) ;; end of whole string (push end pos-list) ;; now collect substrings (nreverse (loop with substr-fn = (if sharedp #'nsubseq #'subseq) with string-seen = nil for (this-end this-start) on pos-list by #'cddr ;; skip empty strings from end of list if (or limit (setq string-seen (or string-seen (and this-start (> this-end this-start))))) collect (if this-start (funcall substr-fn target-string this-start this-end) nil))))) #-:cormanlisp (define-compiler-macro split (&whole form &environment env regex target-string &rest rest) "Make sure that constant forms are compiled into scanners at compile time." (cond ((constantp regex env) `(split (load-time-value (create-scanner ,regex)) ,target-string ,@rest)) (t form))) (defun string-case-modifier (str from to start end) (declare #.*standard-optimize-settings*) (declare (fixnum from to start end)) "Checks whether all words in STR between FROM and TO are upcased, downcased or capitalized and returns a function which applies a corresponding case modification to strings. Returns #'IDENTITY otherwise, especially if words in the target area extend beyond FROM or TO. STR is supposed to be bounded by START and END. It is assumed that \(<= START FROM TO END)." (case (if (or (<= to from) (and (< start from) (alphanumericp (char str (1- from))) (alphanumericp (char str from))) (and (< to end) (alphanumericp (char str to)) (alphanumericp (char str (1- to))))) ;; if it's a zero-length string or if words extend beyond FROM ;; or TO we return NIL, i.e. #'IDENTITY nil ;; otherwise we loop through STR from FROM to TO (loop with last-char-both-case with current-result for index of-type fixnum from from below to for chr = (char str index) do (cond ((not #-:cormanlisp (both-case-p chr) #+:cormanlisp (or (upper-case-p chr) (lower-case-p chr))) ;; this character doesn't have a case so we ;; consider it as a word boundary (note that ;; this differs from how \b works in Perl) (setq last-char-both-case nil)) ((upper-case-p chr) ;; an uppercase character (setq current-result (if last-char-both-case ;; not the first character in a (case current-result ((:undecided) :upcase) ((:downcase :capitalize) (return nil)) ((:upcase) current-result)) (case current-result ((nil) :undecided) ((:downcase) (return nil)) ((:capitalize :upcase) current-result))) last-char-both-case t)) (t ;; a lowercase character (setq current-result (case current-result ((nil) :downcase) ((:undecided) :capitalize) ((:downcase) current-result) ((:capitalize) (if last-char-both-case current-result (return nil))) ((:upcase) (return nil))) last-char-both-case t))) finally (return current-result))) ((nil) #'identity) ((:undecided :upcase) #'string-upcase) ((:downcase) #'string-downcase) ((:capitalize) #'string-capitalize))) ;; first create a scanner to identify the special parts of the ;; replacement string (eat your own dog food...) (defgeneric build-replacement-template (replacement-string) (declare #.*standard-optimize-settings*) (:documentation "Converts a replacement string for REGEX-REPLACE or REGEX-REPLACE-ALL into a replacement template which is an S-expression.")) #-:cormanlisp (let* ((*use-bmh-matchers* nil) (reg-scanner (create-scanner "\\\\(?:\\\\|\\{\\d+\\}|\\d+|&|`|')"))) (defmethod build-replacement-template ((replacement-string string)) (declare #.*standard-optimize-settings*) (let ((from 0) ;; COLLECTOR will hold the (reversed) template (collector '())) ;; scan through all special parts of the replacement string (do-matches (match-start match-end reg-scanner replacement-string) (when (< from match-start) ;; strings between matches are copied verbatim (push (subseq replacement-string from match-start) collector)) ;; PARSE-START is true if the pattern matched a number which ;; refers to a register (let* ((parse-start (position-if #'digit-char-p replacement-string :start match-start :end match-end)) (token (if parse-start (1- (parse-integer replacement-string :start parse-start :junk-allowed t)) ;; if we didn't match a number we convert the ;; character to a symbol (case (char replacement-string (1+ match-start)) ((#\&) :match) ((#\`) :before-match) ((#\') :after-match) ((#\\) :backslash))))) (when (and (numberp token) (< token 0)) ;; make sure we don't accept something like "\\0" (signal-invocation-error "Illegal substring ~S in replacement string." (subseq replacement-string match-start match-end))) (push token collector)) ;; remember where the match ended (setq from match-end)) (when (< from (length replacement-string)) ;; push the rest of the replacement string onto the list (push (subseq replacement-string from) collector)) (nreverse collector)))) #-:cormanlisp (defmethod build-replacement-template ((replacement-function function)) (declare #.*standard-optimize-settings*) (list replacement-function)) #-:cormanlisp (defmethod build-replacement-template ((replacement-function-symbol symbol)) (declare #.*standard-optimize-settings*) (list replacement-function-symbol)) #-:cormanlisp (defmethod build-replacement-template ((replacement-list list)) (declare #.*standard-optimize-settings*) replacement-list) ;;; Corman Lisp's methods can't be closures... :( #+:cormanlisp (let* ((*use-bmh-matchers* nil) (reg-scanner (create-scanner "\\\\(?:\\\\|\\{\\d+\\}|\\d+|&|`|')"))) (defun build-replacement-template (replacement) (declare #.*standard-optimize-settings*) (typecase replacement (string (let ((from 0) ;; COLLECTOR will hold the (reversed) template (collector '())) ;; scan through all special parts of the replacement string (do-matches (match-start match-end reg-scanner replacement) (when (< from match-start) ;; strings between matches are copied verbatim (push (subseq replacement from match-start) collector)) ;; PARSE-START is true if the pattern matched a number which ;; refers to a register (let* ((parse-start (position-if #'digit-char-p replacement :start match-start :end match-end)) (token (if parse-start (1- (parse-integer replacement :start parse-start :junk-allowed t)) ;; if we didn't match a number we convert the ;; character to a symbol (case (char replacement (1+ match-start)) ((#\&) :match) ((#\`) :before-match) ((#\') :after-match) ((#\\) :backslash))))) (when (and (numberp token) (< token 0)) ;; make sure we don't accept something like "\\0" (signal-invocation-error "Illegal substring ~S in replacement string." (subseq replacement match-start match-end))) (push token collector)) ;; remember where the match ended (setq from match-end)) (when (< from (length replacement)) ;; push the rest of the replacement string onto the list (push (nsubseq replacement from) collector)) (nreverse collector))) (list replacement) (t (list replacement))))) (defun build-replacement (replacement-template target-string start end match-start match-end reg-starts reg-ends simple-calls element-type) (declare #.*standard-optimize-settings*) "Accepts a replacement template and the current values from the matching process in REGEX-REPLACE or REGEX-REPLACE-ALL and returns the corresponding string." ;; the upper exclusive bound of the register numbers in the regular ;; expression (let ((reg-bound (if reg-starts (array-dimension reg-starts 0) 0))) (with-output-to-string (s nil :element-type element-type) (loop for token in replacement-template do (typecase token (string ;; transfer string parts verbatim (write-string token s)) (integer ;; replace numbers with the corresponding registers (when (>= token reg-bound) ;; but only if the register was referenced in the ;; regular expression (signal-invocation-error "Reference to non-existent register ~A in replacement string." (1+ token))) (when (svref reg-starts token) ;; and only if it matched, i.e. no match results ;; in an empty string (write-string target-string s :start (svref reg-starts token) :end (svref reg-ends token)))) (function (write-string (cond (simple-calls (apply token (nsubseq target-string match-start match-end) (map 'list (lambda (reg-start reg-end) (and reg-start (nsubseq target-string reg-start reg-end))) reg-starts reg-ends))) (t (funcall token target-string start end match-start match-end reg-starts reg-ends))) s)) (symbol (case token ((:backslash) ;; just a backslash (write-char #\\ s)) ((:match) ;; the whole match (write-string target-string s :start match-start :end match-end)) ((:before-match) ;; the part of the target string before the match (write-string target-string s :start start :end match-start)) ((:after-match) ;; the part of the target string after the match (write-string target-string s :start match-end :end end)) (otherwise (write-string (cond (simple-calls (apply token (nsubseq target-string match-start match-end) (map 'list (lambda (reg-start reg-end) (and reg-start (nsubseq target-string reg-start reg-end))) reg-starts reg-ends))) (t (funcall token target-string start end match-start match-end reg-starts reg-ends))) s))))))))) (defun replace-aux (target-string replacement pos-list reg-list start end preserve-case simple-calls element-type) "Auxiliary function used by REGEX-REPLACE and REGEX-REPLACE-ALL. POS-LIST contains a list with the start and end positions of all matches while REG-LIST contains a list of arrays representing the corresponding register start and end positions." (declare #.*standard-optimize-settings*) ;; build the template once before we start the loop (let ((replacement-template (build-replacement-template replacement))) (with-output-to-string (s nil :element-type element-type) ;; loop through all matches and take the start and end of the ;; whole string into account (loop for (from to) on (append (list start) pos-list (list end)) ;; alternate between replacement and no replacement for replace = nil then (and (not replace) to) for reg-starts = (if replace (pop reg-list) nil) for reg-ends = (if replace (pop reg-list) nil) for curr-replacement = (if replace ;; build the replacement string (build-replacement replacement-template target-string start end from to reg-starts reg-ends simple-calls element-type) nil) while to if replace do (write-string (if preserve-case ;; modify the case of the replacement ;; string if necessary (funcall (string-case-modifier target-string from to start end) curr-replacement) curr-replacement) s) else ;; no replacement do (write-string target-string s :start from :end to))))) (defun regex-replace (regex target-string replacement &key (start 0) (end (length target-string)) preserve-case simple-calls (element-type #+:lispworks 'lw:simple-char #-:lispworks 'character)) "Try to match TARGET-STRING between START and END against REGEX and replace the first match with REPLACEMENT. Two values are returned; the modified string, and T if REGEX matched or NIL otherwise. REPLACEMENT can be a string which may contain the special substrings \"\\&\" for the whole match, \"\\`\" for the part of TARGET-STRING before the match, \"\\'\" for the part of TARGET-STRING after the match, \"\\N\" or \"\\{N}\" for the Nth register where N is a positive integer. REPLACEMENT can also be a function designator in which case the match will be replaced with the result of calling the function designated by REPLACEMENT with the arguments TARGET-STRING, START, END, MATCH-START, MATCH-END, REG-STARTS, and REG-ENDS. (REG-STARTS and REG-ENDS are arrays holding the start and end positions of matched registers or NIL - the meaning of the other arguments should be obvious.) Finally, REPLACEMENT can be a list where each element is a string, one of the symbols :MATCH, :BEFORE-MATCH, or :AFTER-MATCH - corresponding to \"\\&\", \"\\`\", and \"\\'\" above -, an integer N - representing register (1+ N) -, or a function designator. If PRESERVE-CASE is true, the replacement will try to preserve the case (all upper case, all lower case, or capitalized) of the match. The result will always be a fresh string, even if REGEX doesn't match. ELEMENT-TYPE is the element type of the resulting string." (declare #.*standard-optimize-settings*) (multiple-value-bind (match-start match-end reg-starts reg-ends) (scan regex target-string :start start :end end) (if match-start (values (replace-aux target-string replacement (list match-start match-end) (list reg-starts reg-ends) start end preserve-case simple-calls element-type) t) (values (subseq target-string start end) nil)))) #-:cormanlisp (define-compiler-macro regex-replace (&whole form &environment env regex target-string replacement &rest rest) "Make sure that constant forms are compiled into scanners at compile time." (cond ((constantp regex env) `(regex-replace (load-time-value (create-scanner ,regex)) ,target-string ,replacement ,@rest)) (t form))) (defun regex-replace-all (regex target-string replacement &key (start 0) (end (length target-string)) preserve-case simple-calls (element-type #+:lispworks 'lw:simple-char #-:lispworks 'character)) "Try to match TARGET-STRING between START and END against REGEX and replace all matches with REPLACEMENT. Two values are returned; the modified string, and T if REGEX matched or NIL otherwise. REPLACEMENT can be a string which may contain the special substrings \"\\&\" for the whole match, \"\\`\" for the part of TARGET-STRING before the match, \"\\'\" for the part of TARGET-STRING after the match, \"\\N\" or \"\\{N}\" for the Nth register where N is a positive integer. REPLACEMENT can also be a function designator in which case the match will be replaced with the result of calling the function designated by REPLACEMENT with the arguments TARGET-STRING, START, END, MATCH-START, MATCH-END, REG-STARTS, and REG-ENDS. (REG-STARTS and REG-ENDS are arrays holding the start and end positions of matched registers or NIL - the meaning of the other arguments should be obvious.) Finally, REPLACEMENT can be a list where each element is a string, one of the symbols :MATCH, :BEFORE-MATCH, or :AFTER-MATCH - corresponding to \"\\&\", \"\\`\", and \"\\'\" above -, an integer N - representing register (1+ N) -, or a function designator. If PRESERVE-CASE is true, the replacement will try to preserve the case (all upper case, all lower case, or capitalized) of the match. The result will always be a fresh string, even if REGEX doesn't match. ELEMENT-TYPE is the element type of the resulting string." (declare #.*standard-optimize-settings*) (let ((pos-list '()) (reg-list '())) (do-scans (match-start match-end reg-starts reg-ends regex target-string nil :start start :end end) (push match-start pos-list) (push match-end pos-list) (push reg-starts reg-list) (push reg-ends reg-list)) (if pos-list (values (replace-aux target-string replacement (nreverse pos-list) (nreverse reg-list) start end preserve-case simple-calls element-type) t) (values (subseq target-string start end) nil)))) #-:cormanlisp (define-compiler-macro regex-replace-all (&whole form &environment env regex target-string replacement &rest rest) "Make sure that constant forms are compiled into scanners at compile time." (cond ((constantp regex env) `(regex-replace-all (load-time-value (create-scanner ,regex)) ,target-string ,replacement ,@rest)) (t form))) #-:cormanlisp (defmacro regex-apropos-aux ((regex packages case-insensitive &optional return-form) &body body) "Auxiliary macro used by REGEX-APROPOS and REGEX-APROPOS-LIST. Loops through PACKAGES and executes BODY with SYMBOL bound to each symbol which matches REGEX. Optionally evaluates and returns RETURN-FORM at the end. If CASE-INSENSITIVE is true and REGEX isn't already a scanner, a case-insensitive scanner is used." (with-rebinding (regex) (with-unique-names (scanner %packages next morep hash) `(let* ((,scanner (create-scanner ,regex :case-insensitive-mode (and ,case-insensitive (not (functionp ,regex))))) (,%packages (or ,packages (list-all-packages))) (,hash (make-hash-table :test #'eq))) (with-package-iterator (,next ,%packages :external :internal :inherited) (loop (multiple-value-bind (,morep symbol) (,next) (unless ,morep (return ,return-form)) (unless (gethash symbol ,hash) (when (scan ,scanner (symbol-name symbol)) (setf (gethash symbol ,hash) t) ,@body))))))))) ;;; The following two functions were provided by Karsten Poeck #+:cormanlisp (defmacro do-with-all-symbols ((variable package-or-packagelist) &body body) "Executes BODY with VARIABLE bound to each symbol in PACKAGE-OR-PACKAGELIST \(a designator for a list of packages) in turn." (with-unique-names (pack-var) `(if (listp ,package-or-packagelist) (dolist (,pack-var ,package-or-packagelist) (do-symbols (,variable ,pack-var) ,@body)) (do-symbols (,variable ,package-or-packagelist) ,@body)))) #+:cormanlisp (defmacro regex-apropos-aux ((regex packages case-insensitive &optional return-form) &body body) "Auxiliary macro used by REGEX-APROPOS and REGEX-APROPOS-LIST. Loops through PACKAGES and executes BODY with SYMBOL bound to each symbol which matches REGEX. Optionally evaluates and returns RETURN-FORM at the end. If CASE-INSENSITIVE is true and REGEX isn't already a scanner, a case-insensitive scanner is used." (with-rebinding (regex) (with-unique-names (scanner %packages hash) `(let* ((,scanner (create-scanner ,regex :case-insensitive-mode (and ,case-insensitive (not (functionp ,regex))))) (,%packages (or ,packages (list-all-packages))) (,hash (make-hash-table :test #'eq))) (do-with-all-symbols (symbol ,%packages) (unless (gethash symbol ,hash) (when (scan ,scanner (symbol-name symbol)) (setf (gethash symbol ,hash) t) ,@body))) ,return-form)))) (defun regex-apropos-list (regex &optional packages &key (case-insensitive t)) (declare #.*standard-optimize-settings*) "Similar to the standard function APROPOS-LIST but returns a list of all symbols which match the regular expression REGEX. If CASE-INSENSITIVE is true and REGEX isn't already a scanner, a case-insensitive scanner is used." (let ((collector '())) (regex-apropos-aux (regex packages case-insensitive collector) (push symbol collector)))) (defun print-symbol-info (symbol) "Auxiliary function used by REGEX-APROPOS. Tries to print some meaningful information about a symbol." (declare #.*standard-optimize-settings*) (handler-case (let ((output-list '())) (cond ((special-operator-p symbol) (push "[special operator]" output-list)) ((macro-function symbol) (push "[macro]" output-list)) ((fboundp symbol) (let* ((function (symbol-function symbol)) (compiledp (compiled-function-p function))) (multiple-value-bind (lambda-expr closurep) (function-lambda-expression function) (push (format nil "[~:[~;compiled ~]~:[function~;closure~]]~:[~; ~A~]" compiledp closurep lambda-expr (cadr lambda-expr)) output-list))))) (let ((class (find-class symbol nil))) (when class (push (format nil "[class] ~S" class) output-list))) (cond ((keywordp symbol) (push "[keyword]" output-list)) ((constantp symbol) (push (format nil "[constant]~:[~; value: ~S~]" (boundp symbol) (symbol-value symbol)) output-list)) ((boundp symbol) (push #+(or :lispworks :clisp) "[variable]" #-(or :lispworks :clisp) (format nil "[variable] value: ~S" (symbol-value symbol)) output-list))) #-(or :cormanlisp :clisp) (format t "~%~S ~<~;~^~A~@{~:@_~A~}~;~:>" symbol output-list) #+(or :cormanlisp :clisp) (loop for line in output-list do (format t "~%~S ~A" symbol line))) (condition () ;; this seems to be necessary due to some errors I encountered ;; with LispWorks (format t "~&~S [an error occurred while trying to print more info]" symbol)))) (defun regex-apropos (regex &optional packages &key (case-insensitive t)) "Similar to the standard function APROPOS but returns a list of all symbols which match the regular expression REGEX. If CASE-INSENSITIVE is true and REGEX isn't already a scanner, a case-insensitive scanner is used." (declare #.*standard-optimize-settings*) (regex-apropos-aux (regex packages case-insensitive) (print-symbol-info symbol)) (values)) (let* ((*use-bmh-matchers* nil) (non-word-char-scanner (create-scanner "[^a-zA-Z_0-9]"))) (defun quote-meta-chars (string &key (start 0) (end (length string))) "Quote, i.e. prefix with #\\\\, all non-word characters in STRING." (regex-replace-all non-word-char-scanner string "\\\\\\&" :start start :end end))) (let* ((*use-bmh-matchers* nil) (*allow-quoting* nil) (quote-char-scanner (create-scanner "\\\\Q")) (section-scanner (create-scanner "\\\\Q((?:[^\\\\]|\\\\(?!Q))*?)(?:\\\\E|$)"))) (defun quote-sections (string) "Replace sections inside of STRING which are enclosed by \\Q and \\E with the quoted equivalent of these sections \(see QUOTE-META-CHARS). Repeat this as long as there are such sections. These sections may nest." (flet ((quote-substring (target-string start end match-start match-end reg-starts reg-ends) (declare (ignore start end match-start match-end)) (quote-meta-chars target-string :start (svref reg-starts 0) :end (svref reg-ends 0)))) (loop for result = string then (regex-replace-all section-scanner result #'quote-substring) while (scan quote-char-scanner result) finally (return result))))) (let* ((*use-bmh-matchers* nil) (comment-scanner (create-scanner "(?s)\\(\\?#.*?\\)")) (extended-comment-scanner (create-scanner "(?m:#.*?$)|(?s:\\(\\?#.*?\\))")) (quote-token-scanner (create-scanner "\\\\[QE]")) (quote-token-replace-scanner (create-scanner "\\\\([QE])"))) (defun clean-comments (string &optional extended-mode) "Clean \(?#...) comments within STRING for quoting, i.e. convert \\Q to Q and \\E to E. If EXTENDED-MODE is true, also clean end-of-line comments, i.e. those starting with #\\# and ending with #\\Newline." (flet ((remove-tokens (target-string start end match-start match-end reg-starts reg-ends) (declare (ignore start end reg-starts reg-ends)) (loop for result = (nsubseq target-string match-start match-end) then (regex-replace-all quote-token-replace-scanner result "\\1") ;; we must probably repeat this because the comment ;; can contain substrings like \\Q while (scan quote-token-scanner result) finally (return result)))) (regex-replace-all (if extended-mode extended-comment-scanner comment-scanner) string #'remove-tokens)))) (defun parse-tree-synonym (symbol) "Returns the parse tree the SYMBOL symbol is a synonym for. Returns NIL is SYMBOL wasn't yet defined to be a synonym." (get symbol 'parse-tree-synonym)) (defun (setf parse-tree-synonym) (new-parse-tree symbol) "Defines SYMBOL to be a synonm for the parse tree NEW-PARSE-TREE." (setf (get symbol 'parse-tree-synonym) new-parse-tree)) (defmacro define-parse-tree-synonym (name parse-tree) "Defines the symbol NAME to be a synonym for the parse tree PARSE-TREE. Both arguments are quoted." `(eval-when (:compile-toplevel :load-toplevel :execute) (setf (parse-tree-synonym ',name) ',parse-tree))) cafeobj-1.5.4/INSTALL0000644000000000000000000001535012415124723012646 0ustar rootroot --------------------------------------------- CafeOBJ Interpreter Installation Instructions --------------------------------------------- ============ Prerequisite ============ CafeOBJ interpreter is built on Common Lisp, thus you need some Common Lisp system to install CafeOBJ. CafeOBJ can be built on the following platforms: (1) SBCL version 1.1.7 (or later) http://www.sbcl.org/ (2) Allegro CL version 8.0 (or later) http://franz.com/ (3) CLISP version 2.4.9 (or later) http://www.clisp.org/ At least one of these needs to be installed in the users' PATH. Considerations concering redestribution --------------------------------------- Building the CafeOBJ interpreter with SBCL allows for redistribution without the need for SBCL being installed, as the dump itself can be executed. This is also possible with Allegro CL, but needs a specific license obtainable from Franz. With CLISP the interpreter has to be installed at the target system. ======== BUILDING ======== Building is done in the usual way with running the following commands in the source directory: ./configure make (sudo) make install See below for possible configuration. ====================== 1) configure arguments ====================== a) Selection of a lisp platform ------------------------------- Selection of the Common Lisp platform to build the CafeOBJ interpreter is done with the configure option --with-lisp as in ./configure --with-lisp="platform"[,"platform"] You can specify a list of interpreters to be used to build CafeOBJ. The wrapper provides the command line option --engine to select one of the underlying interpreters. "platform" should be one of the followings, and should provide the following command line program name configure argument program name sbcl sbcl -- SBCL acl alisp -- Allegro CL clisp clisp -- CLISP You must have one of these command in your PATH environment. -with-lisp="platform" can be omitted, in this case it selects the first interpreter found by testing in the following order: acl, sbcl, clisp Finally, one can use -with-lisp=all which builds for all found Common Lisp platforms. In case your interpreter is named different than the above, you can override it with --with-sbcl= --with-acl= --with-clisp= Using the cafeobj command line argument --engine one can select the engine at run time. By default the one first listed in the configure call will be used. b) Installation location ------------------------ Be default CafeOBJ is installed in GNU standard compliant directories, that is $prefix/bin/ -- cafeobj - a shell script that invokes the necessary programs to start the CafeOBJ interpreter. $prefix/lib/cafeobj-N.M/ -- dump files for the various lisp platforms $prefix/share/cafeobj-N.M/lib/ -- standard libraries, if you made cafeobj with PigNose, fopl.mod will be put here. $prefix/share/cafeobj-N.M/prelude/ -- cafeobj standard prelude files. $prefix/share/doc/cafeobj/ -- documentation and example files $prefix is by default /usr/local, but can be selected with --prefix= during the configure run. There is also --enable-traditional-layout which selects traditional layout of the files, which is $prefix/bin/ -- cafeobj - a shell script that invokes the necessary programs to start the CafeOBJ interpreter. $prefix/cafeobj-N.M/bin/ -- necessary programs to start the CafeOBJ interpreter. and the dump files for the various lisp platforms $prefix/cafeobj-N.M/lib/ -- standard libraries, if you made cafeobj with PigNose, fopl.mod will be put here. $prefix/cafeobj-N.M/prelude/ -- cafeobj standard prelude files. $prefix/cafeobj-N.M/doc/ -- documentation and example files =========================== 2) Building the interpreter =========================== Try building the CafeOBJ by invoking make This will make the needed CafeOBJ binaries within the sub directories. If something fails for your system, and you want to submit a bug report, you may wish to include your "config.status" file, your host type, operating system and information about the used Common Lisp interpreter including version number, make output, and anything else you think will be helpful. ======================= 3) Installing the files ======================= Invoke make install or, if you don't have permissions, maybe sudo make install This will install CafeOBJ interpreter (cafeobj). Staged installes are supported in two ways: make install DESTDIR= prefix all installations with $DESTDIR. make install prefix= will override the prefix set during initial configuration. Be warned that in this case the cafeobj script might not find the dumps. =========== 4) Clean up =========== (optional) By invoking make clean generated files are removed, but configuration remains as is. If you want to go back to a clean state of pre-configuration, use make distclean =========================== RANDOM NOTEX FOR DEVELOPERS =========================== build system ------------ configure checks for each lisp interpretor on existence, and exports `_interp', `_dump', and the list of requested in `lisp'. configure generates the following files: Makefile <- Makefile.in make-cafeobj.lisp <- make-cafeobj.lisp.in xbin/cafeobj.in <- xbin/cafeobj.in.in doc/Makefile.in <- doc/Makefile After that, xbin/cafeobj is created from the Makefile by a sed command. other lisp interpreters ----------------------- Although by default only acl, sbcl, clisp is checked and build for, the following lisp implementations can also be used, but are currently not supported. Builds will fail. configure argument program name cmu lisp -- CMU-CL gcl gcl -- GNU Common Lisp ccl ccl -- openmcl ccl64 ccl64 -- openmcl 64 bit adding a lisp interpreter ------------------------- Adding a new interpreter requires (at least) changes to the following files (more or less symmetric to all the others): - configure.ac - Makefile.in - xbin/cafeobj.in.in - make-cafeobj.lisp.in building for windows -------------------- If Wine is installed, and within wine sbcl is installed, one can create a dump for Windows with ./configure --enable-windows make -- EOF cafeobj-1.5.4/aclocal.m40000644000000000000000000006674312415124723013471 0ustar rootroot# generated automatically by aclocal 1.14.1 -*- Autoconf -*- # Copyright (C) 1996-2013 Free Software Foundation, Inc. # This file is free software; the Free Software Foundation # gives unlimited permission to copy and/or distribute it, # with or without modifications, as long as this notice is preserved. # This program is distributed in the hope that it will be useful, # but WITHOUT ANY WARRANTY, to the extent permitted by law; without # even the implied warranty of MERCHANTABILITY or FITNESS FOR A # PARTICULAR PURPOSE. m4_ifndef([AC_CONFIG_MACRO_DIRS], [m4_defun([_AM_CONFIG_MACRO_DIRS], [])m4_defun([AC_CONFIG_MACRO_DIRS], [_AM_CONFIG_MACRO_DIRS($@)])]) m4_ifndef([AC_AUTOCONF_VERSION], [m4_copy([m4_PACKAGE_VERSION], [AC_AUTOCONF_VERSION])])dnl m4_if(m4_defn([AC_AUTOCONF_VERSION]), [2.69],, [m4_warning([this file was generated for autoconf 2.69. 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We do so because we # need to set the values for the 'am__tar' and 'am__untar' variables. _am_tools=${am_cv_prog_tar_$1-$_am_tools} for _am_tool in $_am_tools; do case $_am_tool in gnutar) for _am_tar in tar gnutar gtar; do AM_RUN_LOG([$_am_tar --version]) && break done am__tar="$_am_tar --format=m4_if([$1], [pax], [posix], [$1]) -chf - "'"$$tardir"' am__tar_="$_am_tar --format=m4_if([$1], [pax], [posix], [$1]) -chf - "'"$tardir"' am__untar="$_am_tar -xf -" ;; plaintar) # Must skip GNU tar: if it does not support --format= it doesn't create # ustar tarball either. (tar --version) >/dev/null 2>&1 && continue am__tar='tar chf - "$$tardir"' am__tar_='tar chf - "$tardir"' am__untar='tar xf -' ;; pax) am__tar='pax -L -x $1 -w "$$tardir"' am__tar_='pax -L -x $1 -w "$tardir"' am__untar='pax -r' ;; cpio) am__tar='find "$$tardir" -print | cpio -o -H $1 -L' am__tar_='find "$tardir" -print | cpio -o -H $1 -L' am__untar='cpio -i -H $1 -d' ;; none) am__tar=false am__tar_=false am__untar=false ;; esac # If the value was cached, stop now. We just wanted to have am__tar # and am__untar set. test -n "${am_cv_prog_tar_$1}" && break # tar/untar a dummy directory, and stop if the command works. rm -rf conftest.dir mkdir conftest.dir echo GrepMe > conftest.dir/file AM_RUN_LOG([tardir=conftest.dir && eval $am__tar_ >conftest.tar]) rm -rf conftest.dir if test -s conftest.tar; then AM_RUN_LOG([$am__untar /dev/null 2>&1 && break fi done rm -rf conftest.dir AC_CACHE_VAL([am_cv_prog_tar_$1], [am_cv_prog_tar_$1=$_am_tool]) AC_MSG_RESULT([$am_cv_prog_tar_$1])]) AC_SUBST([am__tar]) AC_SUBST([am__untar]) ]) # _AM_PROG_TAR cafeobj-1.5.4/build-acl-dist.cl0000644000000000000000000000020412415124723014722 0ustar rootroot(load "sysdef.cl") (excl:compile-system :chaosx :recompile t) (excl:concatenate-system :chaosx "pignose.fasl") (load "deliver.cl") cafeobj-1.5.4/doc/0000755000000000000000000000000012573560461012366 5ustar rootrootcafeobj-1.5.4/doc/PigNose/0000755000000000000000000000000012611607421013721 5ustar rootrootcafeobj-1.5.4/doc/PigNose/Makefile.in0000644000000000000000000000022312415124723015764 0ustar rootroot pnguide.pdf: pnguide.tex xelatex pnguide xelatex pnguide xelatex pnguide clean: rm -f *.aux pnguide.log pnguide.toc pnguide.out distclean: cafeobj-1.5.4/doc/PigNose/appendix.tex0000644000000000000000000010735312415124723016265 0ustar rootroot%\part{付録} %\parttoc \appendix %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \chapter{導出原ç†} \label{sec:resolution-principle} 本章ã§ã¯å°Žå‡ºåŽŸç†ã«ã¤ã„ã¦æ¦‚説ã™ã‚‹ï¼Ž 定ç†è¨¼æ˜Žã«ãŠã„ã¦ä»®å®š $A$ ã‹ã‚‰ $B$ ãŒçµè«–ã§ãã‚‹ã“㨠ã™ãªã‚ã¡ $A\vdash B$ を示ã™ãŸã‚ã«ã¯ï¼Œ$A$ を仮定ã—㦠ã‚ã‚Œã“れ推論è¦å‰‡ã‚’é©ç”¨ã™ã‚‹ã“ã¨ã«ã‚ˆã£ã¦ $B$ ã‚’å°Žã． 導出原ç†ã«ã‚ˆã‚‹è¨¼æ˜Žã®å ´åˆã¯ï¼Œæ¬¡ã®åŒå€¤é–¢ä¿‚ \[ \begin{array}{l c l c l} A \vdash B & \iff & \{A, \neg B\} \vdash \makebox{â–¡ (矛盾)} & \iff & \{A, \neg B\} \makebox{ãŒå……足ä¸èƒ½} \end{array} \] を用ã„㦠$\{A, \neg B\}$ ãŒå……足ä¸èƒ½ã§ã‚ã‚‹ã“ã¨ã‚’示ã™ã“ã¨ã«ã‚ˆã£ã¦ 間接的㫠$A\vdash B$ を証明ã™ã‚‹\footnote{ã“ã“㧠$\iff$ 㯠if and only if ã®æ„味．}． 以下ã“ã®ã“ã¨ã‚’順を追ã£ã¦è¦‹ã¦ã‚†ãã“ã¨ã«ã™ã‚‹ï¼Ž \section{節形å¼ã¨ç¯€é›†åˆ} é–‰ã˜ãŸå¼(é–‰å¼---変数をå«ã¾ãªã„å ´åˆã‚‚å«ã‚ã¦å…¨ã¦ã®å¤‰æ•°ãŒæŸç¸›ã•ã‚Œã¦ã„ã‚‹è«– ç†å¼)$A$ãŒå¦¥å½“ã§ã‚ã‚‹ã“ã¨ã¨ $\neg A$ ãŒå……足ä¸èƒ½ã§ã‚ã‚‹ã“ã¨ã¯åŒã˜äº‹ã§ã‚る． ã¤ã¾ã‚Š $\neg A$ ãŒå……足ä¸èƒ½ã§ã‚ã‚‹ã“ã¨ã‚’示ã™ã“ã¨ãŒå‡ºæ¥ã‚Œã° $A$ ãŒå¦¥å½“㧠ã‚ã‚‹ã¨çµè«–付ã‘る事ãŒã§ãる． ãã“ã§å¼ã®å……足ä¸èƒ½æ€§ã‚’確ã‹ã‚ã‚‹ã“ã¨ã‚’考察ã™ã‚‹ï¼Ž ã“ã®æ™‚スコーレム標準形(Skolem normal form)ã¨å‘¼ã°ã‚Œã‚‹ï¼Œå† é ­æ¨™æº–形㫠全称é™é‡å­ã—ã‹å«ã¾ã‚Œãªã„è«–ç†å¼ã®å½¢å¼ã§ã‚る．任æ„ã®ä¸€éšŽè¿°èªžè«–ç†å¼ã¯ 充足å¯èƒ½æ€§ã‚’ä¿å­˜ã™ã‚‹ã‚¹ã‚³ãƒ¼ãƒ¬ãƒ æ¨™æº–å½¢ã«å¤‰æ›ã§ãる．ã“ã®å¤‰æ›ã‚’ スコーレム化(Skolemization)ã¨å‘¼ã¶ï¼Žã‚¹ã‚³ãƒ¼ãƒ¬ãƒ åŒ–ã«ã‚ˆã£ã¦å¾—られるå¼ã¯ å…ƒã®å¼ãŒå……足ã•ã‚Œã‚‹ã¨ããã®ã¨ãã«é™ã£ã¦å……足ã•ã‚Œã‚‹ï¼Ž \section{導出} 導出(resolution)ã¯2ã¤ã®ç¯€ã‚’å‰æã¨ã—ã¦æ–°ã—ã„節(導出節)ã‚’ å°Žã推論è¦å‰‡ã§ã‚る．簡å˜ã®ãŸã‚ã¾ãšå‘½é¡Œè«–ç†ã®ä¸–ç•Œã«ç¯„囲を é™å®šã™ã‚‹ï¼ŽãŸã¨ãˆã° $A_1, A_2, A_3$ を命題ã¨ã—㦠$\neg A_1\lor A_2, \neg A_2\lor A_3$ ã‹ã‚‰ $\neg A_1\lor A_3$ ã‚’å°Žãã®ãŒå‘½é¡Œè«–ç†ã§ã®å°Žå‡ºã®ä¾‹ã§ã‚る． %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \chapter{åé§ã‚¨ãƒ³ã‚¸ãƒ³ã®å‹•ä½œã®è©³ç´°} \label{sec:process-in-detail} 本章ã§ã¯åé§ã‚¨ãƒ³ã‚¸ãƒ³ã®æŽ¨è«–éŽç¨‹ã«ã¤ã„ã¦ã‚ˆã‚Šè©³ç´°ãªèª¬æ˜Žã‚’è¡Œã†. \section{推論ループã®æ§‹é€ } åé§ã‚¨ãƒ³ã‚¸ãƒ³ã¯, 推論終了ã‚ã‚‹ã„ã¯ä¸­æ–­ã®æ¡ä»¶ãŒæ¤œçŸ¥ã•ã‚Œã‚‹ã¾ã§, 指定ã•ã‚ŒãŸæŽ¨è«–ルールã«ã—ãŸãŒã£ã¦å°Žå‡ºç¯€ã‚’生æˆã—ã¤ã¥ã‘ã‚‹. ã“ã®å‡¦ç†ã®æ§‹é€ ã¯ä»¥ä¸‹ã®é€šã‚Šã§ã‚ã‚‹. \begin{enumerate} \item ç¾åœ¨ã®ä¸»ãƒ«ãƒ¼ãƒ—状態を「処ç†ç¶™ç¶šã€ã«è¨­å®šã™ã‚‹ï¼Ž \item 推論ループã®ãŸã‚ã®åˆæœŸåŒ–処ç†ã‚’実行ã™ã‚‹. (第 ~\ref{sec:system-init} 節). \item åˆæœŸåŒ–処ç†ã®çµæžœ, システム状態ãŒã€Œå‡¦ç†ç¶™ç¶šã€ãªã‚‰ã° sos ã‹ã‚‰1ã¤ç¯€ã‚’é¸æŠžã—ã“れを given-clause ã¨ã™ã‚‹. \item given-clause ãŒå­˜åœ¨ã—, ã‹ã¤ã‚·ã‚¹ãƒ†ãƒ å†…部状態ãŒã€Œå‡¦ç†ç¶™ç¶šã€ ã§ã‚ã‚‹é™ã‚Š, 以下ã®å‡¦ç†ã‚’ç¹°ã‚Šè¿”ã™. \begin{enumerate} \item 統計情報 cl-given ã« 1 を加ãˆã‚‹. \item フラグ print-given ㌠on ã®å ´åˆ, given-clause ã‚’å°å­—ã™ã‚‹ \item given-clause ã‚’ usable ã®æœ€å¾Œã«è¿½åŠ ã™ã‚‹. \item given-clause ã‹ã‚‰ãƒ•ãƒ©ã‚°ã§æŒ‡å®šã•ã‚Œã¦ã„る推論ルールを用ã„ã¦, 節を 導出ã™ã‚‹. (第~\ref{sec:infer} 節, 第~\ref{sec:post-process}) . \item ç¾åœ¨ã®ã‚·ã‚¹ãƒ†ãƒ çŠ¶æ…‹ãŒçµ‚了æ¡ä»¶ã«åˆè‡´ã™ã‚‹ç‰©ã‹ã©ã†ã‹ã‚’調ã¹ã‚‹. (第~\ref{sec:ending-process}) \item システムã®ç¾åœ¨çŠ¶æ…‹ãŒã€Œå‡¦ç†ç¶™ç¶šã€ä»¥å¤–ãªã‚‰ã° 終了状態ã«é–¢ã™ã‚‹ãƒ¡ãƒƒã‚»ãƒ¼ã‚¸ã‚’ 出力ã—, ループを抜ã‘出ã™. \end{enumerate} \end{enumerate} 以é™ã§åˆæœŸåŒ–ã‹ã‚‰å§‹ã¾ã‚Šï¼Œç¯€ã®å°Žå‡ºï¼Œå°Žå‡ºå¾Œã®å‡¦ç†ï¼Œçµ‚了判定ã®å„ プロセスã«ã¤ã„ã¦è©³ç´°ã«èª¬æ˜Žã™ã‚‹ï¼Ž \section{システムã®åˆæœŸåŒ–} \label{sec:system-init} \texttt{resolve} コマンドãŒç™ºã›ã‚‰ã‚Œã‚‹ã¨åé§ã‚¨ãƒ³ã‚¸ãƒ³ãŒèµ·å‹•ã•ã‚Œã‚‹ï¼Ž ãã®éš›åé§ã‚¨ãƒ³ã‚¸ãƒ³ã¯ä¸»ãƒ«ãƒ¼ãƒ—ã«å…¥ã‚‹å‰ã« 実行文脈ã®è¨­å®šã«ç¶šã„ã¦æŽ¨è«–処ç†ã®ãŸã‚ã®åˆæœŸåŒ–処ç†ã‚’è¡Œã†. ã¾ãšæœ€åˆã«åé§ã‚¨ãƒ³ã‚¸ãƒ³ã®å®Ÿè¡Œæ–‡è„ˆã¨ã™ã‚‹CafeOBJモジュールã«é–¢ã—ã¦ã® 推論ã®æº–備を行ã†ï¼Ž \begin{enumerate} \item オペレータã®å„ªå…ˆé †ä½ã‚’設定ã™ã‚‹. \item モジュールã®å…¬ç†ã‚’節形å¼ã¸å¤‰æ›ã™ã‚‹. \end{enumerate} 次ã„ã§åé§ã‚¨ãƒ³ã‚¸ãƒ³ã®ä¸»ãƒ«ãƒ¼ãƒ—ã«å…¥ã‚‹å‰ã«, 以下ã®ã‚ˆã†ãªåˆæœŸåŒ–処ç†ãŒ 実行ã•ã‚Œã‚‹. \begin{enumerate} \item フラグ universal-symmetry ㌠on ã®å ´åˆã«, 対称則(X = X)を入力節ã«è¿½åŠ ã™ã‚‹. \item 統計情報を全㦠0 ã«åˆæœŸåŒ–ã™ã‚‹. \item フラグ auto ã‚ã‚‹ã„㯠auto2 ㌠on ã®å ´åˆã«ãã‚Œã«å¿œã˜ãŸãƒ•ãƒ©ã‚°ã‚„ パラメータã®è‡ªå‹•ã‚»ãƒƒãƒ†ã‚£ãƒ³ã‚°ã‚’è¡Œã†. \item 実行文脈ã®CafeOBJモジュールã«å«ã¾ã‚Œã‚‹ built-in demodulator ã‚’ç™» 録ã™ã‚‹. \item フラグ process-input ㌠on ã®å ´åˆ, sos ãŠã‚ˆã³ usable ã«å«ã¾ã‚Œã‚‹å„節ã«å¯¾ã—ã¦å°Žå‡ºç¯€ã®äº‹å‰/事後処ç†(第 ~\ref{sec:pre-process} 節ãŠã‚ˆã³ç¬¬ ~\ref{sec:post-process} 節をå‚ç…§) ã‚’é©ç”¨ã™ã‚‹. \end{enumerate} \section{導出節生æˆã‚¨ãƒ³ã‚¸ãƒ³ç¾¤ã®èµ·å‹•} \label{sec:infer} システムã®åˆæœŸåŒ–処ç†ã«ç¶šã„㦠フラグã§æŒ‡å®šã•ã‚Œã¦ã„る推論è¦å‰‡ã«å¯¾å¿œã—㟠導出節生æˆã‚¨ãƒ³ã‚¸ãƒ³ç¾¤ãŒé †æ¬¡èµ·å‹•ã•ã‚Œ, æ–°ãŸãªå°Žå‡ºç¯€ãŒç”Ÿæˆã•ã‚Œï¼Œ sos ã«è¿½åŠ ã•ã‚Œã‚‹ï¼Ž \begin{enumerate} \item max-weight パラメータã®èª¿æ•´(\ref{sec:pn-control-memory}節) \begin{enumerate} \item ã‚‚ã—フラグ control-memory ㌠on ã§ã‚ã‚Œã°, ç¾åœ¨ã® sos 節集åˆã« 登録ã•ã‚Œã¦ã„る節ã®æ•°ã‚’調ã¹, å¿…è¦ãªã‚‰ã° max-weight パラメータを調整ã™ã‚‹. \end{enumerate} \item binary resolution ã®å®Ÿè¡Œ \begin{enumerate} \item ã‚‚ã—フラグ binary-res ㌠on ã§ã‚ã£ãŸãªã‚‰ã°, binary resolution を実行ã™ã‚‹ (第~\ref{sec:binary-res}節をå‚ç…§). \item binary resolution ã®çµæžœå¾—られãŸæ–°ãŸãªå°Žå‡ºç¯€ã®å„々ã«ã¤ã„㦠導出節ã®å¾Œå‡¦ç†ã‚’実行ã™ã‚‹(第 ~\ref{sec:post-process} 節をå‚ç…§ --- 以下åŒæ§˜). \end{enumerate} \item hyper resolution ã®å®Ÿè¡Œ \begin{enumerate} \item ã‚‚ã—フラグ hyper-res ㌠on ã§ã‚ã£ãŸãªã‚‰ã°, hyper resolution を実行ã™ã‚‹(第~\ref{sec:hyper-res}節をå‚ç…§). \item hyper resolution ã®çµæžœå¾—られãŸæ–°ãŸãªå°Žå‡ºç¯€ã®å„々ã«ã¤ã„㦠導出節ã®å¾Œå‡¦ç†ã‚’実行ã™ã‚‹. \end{enumerate} \item negative hyper resolution ã®å®Ÿè¡Œ \begin{enumerate} \item ã‚‚ã—, フラグ neg-hyper-res ㌠on ã§ã‚ã£ãŸãªã‚‰ã°, nagtive hyper resolution を実行ã™ã‚‹ (第~\ref{sec:neg-hyper-res} 節 ã‚’å‚ç…§). \item negative hyper resolution ã®çµæžœå¾—られãŸæ–°ãŸãªå°Žå‡ºç¯€ã®å„々ã«ã¤ã„㦠導出節ã®å¾Œå‡¦ç†ã‚’実行ã™ã‚‹. \end{enumerate} \item paramodulation into ã®å®Ÿè¡Œ \begin{enumerate} \item ã‚‚ã—, フラグ para-into ㌠on ã§ã‚ã£ãŸãªã‚‰ã°, paramodulation (into) を実行ã™ã‚‹ (第~\ref{sec:paramod}節をå‚ç…§). \item paramodulation (into) ã§å¾—られãŸæ–°ãŸãªå°Žå‡ºç¯€ã®å„々ã«ã¤ã„㦠導出節ã®å¾Œå‡¦ç†ã‚’実行ã™ã‚‹. \end{enumerate} \item paramodulation from ã®å®Ÿè¡Œ \begin{enumerate} \item ã‚‚ã—, フラグ para-from ㌠on ã§ã‚ã£ãŸãªã‚‰ã°, paramodulation (from) を実行ã™ã‚‹ (第 ~\ref{sec:paramod} 節をå‚ç…§). \item paramodulation(from) ã§å¾—られãŸæ–°ãŸãªå°Žå‡ºç¯€ã®å„々ã«ã¤ã„㦠導出節ã®å¾Œå‡¦ç†ã‚’実行ã™ã‚‹. \end{enumerate} \end{enumerate} \subsection{max-weight パラメータã®èª¿æ•´} \label{sec:pn-control-memory} 推論実行中㮠sos ã®çˆ†ç™ºã‚’é¿ã‘ã‚‹ãŸã‚ã«ç”¨æ„ã•ã‚Œã¦ã„るパラメータ㌠max-weight ã§ã‚ã‚‹. ã“ã®ãƒ‘ラメータ値を越ãˆã‚‹ã‚µã‚¤ã‚ºã‚’æŒã¤å°Žå‡ºç¯€ã¯ sos ã«ç™»éŒ²ã•ã‚Œãšã«æ¨ã¦ã‚‰ã‚Œã‚‹. ã•ã‚‰ã«ãã®ã‚µã‚¤ã‚ºãŒä¸€å®šã®ç›®å®‰ã‚’越ãˆãŸå ´åˆã«, max-weight パラメータã®å€¤ã‚’自動調整ã™ã‚‹ã“ã¨ã‚‚è¡Œã†. ã“ã‚Œã¯ãƒ•ãƒ©ã‚° control-memory ㌠on ã«ãªã£ã¦ã„ã‚‹å ´åˆã«å®Ÿè¡Œã•ã‚Œã‚‹. \subsection{節ã«å¯¾ã™ã‚‹å‰å‡¦ç†} \label{sec:pre-process} å„入力節(フラグ process-input ㌠on ã®å ´åˆ)ã‚„ 導出ã•ã‚ŒãŸç¯€ã«é–¢ã—ã¦, 例ãˆã° max-weight パラメータã§åˆ¶é™ã•ã‚Œã‚‹ç¯€ã®é‡ã•ç­‰, ã•ã¾ã–ã¾ãªåˆ¶ç´„æ¡ä»¶ã‚„è«–ç†çš„ã«å†—é•·ãªç¯€ã§ã‚ã‚‹ã‹ã©ã†ã‹ã®æ¤œæŸ»(subsumption ã‚„ tautology)を実行ã—, 残ã™ã¹ã節ã‹æ¨ã¦ã‚‹ç‰©ã‹ã‚’判別ã™ã‚‹. ã¾ãŸ dymanic demodulator ã®ç”Ÿæˆã‚„空節ãŒç”Ÿæˆã•ã‚ŒãŸã‹å¦ã‹ã®æ¤œæŸ»ç­‰ã‚’実行ã™ã‚‹. 具体的ãªå‡¦ç†ã®å†…容ã¯ä»¥ä¸‹ã®é€šã‚Šã§ã‚る： \begin{enumerate} \item 節を調ã¹çµæžœã¨ã—ã¦æ®‹ã™ã¹ãã‹å¦ã‹ã‚’調ã¹ã‚‹ (第~\ref{sec:proc-gen} 節をå‚ç…§). çµæžœãŒæ¨ã¦ã‚‹ã¹ã節ã¨ãªã£ãŸå ´åˆã¯ ãã®ç¯€ã‚’削除ã™ã‚‹. \item 節ã®é‡ã¿ã‚’計算ã™ã‚‹. \item 統計情報 cl-kept ã®å€¤ã« 1 を加ãˆã‚‹ \item フラグ print-kept ㌠on ã§ã‚ã‚‹ã‹, 入力節ã«å¯¾ã™ã‚‹å‡¦ç†ã§ã‚ã£ãŸå ´åˆ clause ã‚’å°å­—ã™ã‚‹. \item フラグ dynamic-demod ㌠on ã§ã‚ã‚Š, dynamic demodulator ã«é–¢ã™ã‚‹æ¤œæŸ» (第~\ref{sec:dynamic-demodulator} 節)ã®çµæžœãŒ demodulator ã¨ã—㦠ãµã•ã‚ã—ã„節ã¨åˆ¤å®šã•ã‚ŒãŸå ´åˆ, ãã‚Œã‹ã‚‰æ–°ãŸãª demodulator を作æˆã™ã‚‹. ã“ã®æ™‚フラグ print-new-demod ㌠on ã§ã‚ã‚‹ã‹ã‚ã‚‹ã„ã¯å…¥åŠ›ç¯€ã«å¯¾ã™ã‚‹ 処ç†ã§ã‚ã£ãŸå ´åˆ, 作æˆã—㟠demodulator ã‚’å°å­—ã™ã‚‹. \item 空節ã®æ¤œæŸ»ã‚’è¡Œã†. 空節ã§ã‚ã£ãŸå ´åˆï¼Œ \begin{enumerate} \item ã‚‚ã—パラメータ max-proofs ㌠-1 (得られる証明ã®æ•°ã«åˆ¶é™ã‚’設㑠ãªã„)ã§ã¯ãªã, 導出ã•ã‚ŒãŸç©ºç¯€ã®æ•°(統計情報 empty-clauses) ã®å€¤ãŒ, パラメータ max-proofs ã«é”ã—ã¦ã„ãŸã‚‰, システム状態を「最大証明数ã«é”ã—ãŸã€ ã¨ã—ã¦åé§ã‚¨ãƒ³ã‚¸ãƒ³ã‚’中断ã™ã‚‹(大域的脱出). \end{enumerate} \end{enumerate} \subsection{節ã«å¯¾ã™ã‚‹å‡¦ç†ã®æ¤œæŸ»å†…容} \label{sec:proc-gen} \begin{enumerate} \item 節ã®å¤‰æ•°åを付ã‘替ãˆï¼Œã“れを clause ã¨ã™ã‚‹ \item フラグ very-verbose ㌠on ã§ã‚れ㰠clause ã‚’å°å­—ã™ã‚‹ \item clause ã« demodulation ã‚’æ–½ã™. ã‚‚ã—フラグ very-verbose ㌠on ã§ã‚ã‚Š, 書ãæ›ãˆãŒä¸€åº¦ã§ã‚‚実行ã•ã‚Œã¦ã„ã‚Œã°æ›¸ãæ›ãˆçµæžœã® clause ã‚’ å°å­—ã™ã‚‹. \item ç­‰å¼ã®å·¦å³è¾ºã®æ–¹å‘ã¤ã‘ フラグ order-eq ㌠on ã®å ´åˆã«å®Ÿè¡Œã™ã‚‹. ã“ã®ã¨ã \begin{itemize} \item フラグ lrpo ㌠on ã§ã‚ã‚Œã°, lrpo(lexicographic recursive path ordering) ã«ã‚ˆã‚‹é †åºã¤ã‘を用ã„ã‚‹(第~\ref{sec:orient-lrpo} 節をå‚ç…§). \item ãã†ã§ãªã‘ã‚Œã°, 辞書å¼é †ã«ã‚ˆã‚‹ç­‰å¼ã®é †åºã¤ã‘を行ㆠ(第~\ref{sec:orient} 節をå‚ç…§) \end{itemize} \item unit deletion 処ç†ã‚’æ–½ã™. フラグ unit-deletion ㌠on ã§ã‚り，ã‹ã¤ clause ã«å«ã¾ã‚Œã‚‹ãƒªãƒ†ãƒ©ãƒ«ã®æ•°ãŒ 2 以上㮠場åˆã«å®Ÿè¡Œã™ã‚‹(第 ~\ref{sec:unit-deletion} 節をå‚ç…§). \item factor simplification ã®å®Ÿè¡Œ フラグ factor ㌠on ã®å ´åˆã«å®Ÿè¡Œã™ã‚‹ (第 ~\ref{sec:factor-simplify} 節をå‚ç…§)． ã“ã®æ™‚ simplification ã‚’è¡Œã£ãŸå›žæ•°åˆ† 統計情報 factor-simplifications を増やã™. \item tautology ã®æ¤œæŸ» 節㌠tautology ã‹å¦ã‹ã‚’調ã¹ã‚‹(第 ~\ref{sec:cl-tautology?} 節 ã‚’å‚ç…§). ã‚‚ã—ãã†ãªã‚‰ã°çµ±è¨ˆæƒ…å ± cl-tautology ã‚’ 1 増やã™ï¼Ž ã“ã®ã‚ˆã†ãªç¯€ã¯æŽ¨è«–ã«å¯„与ã—ãªã„ãŸã‚ã“ã®ç¯€ã‚’「残ã™ã¹ãã§ãªã„ã€ã¨åˆ¤å®šã™ã‚‹ï¼Ž \item weight ã®ãƒ†ã‚¹ãƒˆ(導出節ã«å¯¾ã—ã¦ã®ã¿è¡Œã„, 入力節ã«å¯¾ã—ã¦ã¯ 実施ã•ã‚Œãªã„)： 節ã®é‡ã•ãŒãƒ‘ラメータ max-weight ã‚’ 越ãˆã„ãŸå ´åˆ, ã“ã®ç¯€ã‚’「残ã™ã¹ãã§ãªã„ã€ã¨åˆ¤å®šã™ã‚‹. ã“ã®æ™‚フラグ very-verbose ㌠on ã§ã‚ã£ãŸãªã‚‰ã°, ãã®æ—¨å°å­—ã™ã‚‹. \item forward subsumption テスト フラグ for-sub ㌠on ã®å ´åˆã«å®Ÿè¡Œã™ã‚‹(第 ~\ref{sec:forward-subsume} 節をå‚ç…§). çµæžœã¨ã—ã¦æ¤œæŸ»ã—ã¦ã„る節ãŒä»–ã®ç¯€ã« subsume ã•ã‚Œã‚‹ã‚ˆã†ãªç¯€ã§ã‚ã£ãŸå ´åˆã¯, ã“ã®ç¯€ã¯å†—é•·ã®ãŸã‚「残ã™ã¹ãã§ãªã„ã€ã¨åˆ¤å®šã—, 統計情報㮠cl-for-sub ã« 1 を加ãˆã‚‹. ã¾ãŸ, clause ã‚’ subsume ã™ã‚‹ç¯€ãŒ sos 節集åˆã«å«ã¾ã‚Œã¦ã„ã‚‹ã‚‚ã®ã§ã‚ã£ãŸå ´åˆã¯, 統計情報 cl-for-sub-sos ã« 1 を加ãˆã‚‹. ã•ã‚‰ã«ãƒ•ãƒ©ã‚° very-verbose ㌠on ã§ã‚ã‚‹ã‹, 入力節ã«å¯¾ã™ã‚‹ 処ç†ã§ã‚ã£ãŸå ´åˆã¯, 節㌠subsume ã•ã‚ŒãŸæ—¨ã‚’å°å­—ã™ã‚‹. \end{enumerate} \subsection{Unit Deletion} \label{sec:unit-deletion} ã“ã‚Œã¯å°Žå‡ºã«ä½¿ç”¨ã™ã‚‹ç¯€ã‚’簡素化ã™ã‚‹ã“ã¨ãŒç›®çš„ã§ã‚り， 節ã«å«ã¾ã‚Œã‚‹ãƒªãƒ†ãƒ©ãƒ«ã®æ•°ãŒ 2 以上ã®å ´åˆã«è¡Œã‚れる． ã“ã®å‡¦ç†ã®å¯¾è±¡ã¨ã™ã‚‹å„リテラル $l_i$ ã«ã¤ã„ã¦, sos ã‚ã‚‹ã„㯠usable ã« å«ã¾ã‚Œã‚‹å˜ä¸€ç¯€ã®ãƒªãƒ†ãƒ©ãƒ«ã®ã†ã¡, インスタンス㌠$l_i$ ã®å¦å®šã«ç­‰ã—ã㪠るもã®ãŒå­˜åœ¨ã™ã‚‹å ´åˆã«, リテラル $l_i$ を削除ã™ã‚‹å‡¦ç†ã§ã‚ã‚‹. \subsection{Tautology 検査} \label{sec:cl-tautology?} \begin{verbatim} P | ... | ~P | ... \end{verbatim} ã¨ã„ã†å½¢ã‚’ã—ãŸç¯€ã¯ tautology ã§ã‚ã‚‹ã®ã§, 以é™ã®æŽ¨è«–ã®å½¹ã«ã¯ç«‹ãŸãªã„. ã“ã®ã‚ˆã†ãªç¯€ã§ã‚ã‚‹ã‹ã©ã†ã‹ã‚’判定ã™ã‚‹ã®ãŒ Tautology 検査ã§ã‚る． \subsection{Subsumption テスト} \label{sec:subsume?} 節 $C$ ㌠節 $D$ ã‚’ subsume ã™ã‚‹ã¨ã¯, $D$ ã«å«ã¾ã‚Œã‚‹å…¨ã¦ã®ãƒªãƒ†ãƒ©ãƒ«ãŒ $C$ ã®ã©ã‚Œã‹ã®ãƒªãƒ†ãƒ©ãƒ«ã‚’ インスタンス化ã™ã‚‹äº‹ã«ã‚ˆã£ã¦å¾—られるよã†ãªå ´åˆã§ã‚る． ã¤ã¾ã‚Š $C$ ã®æ–¹ãŒ $D$ より一般的ãªç¯€ã§ã‚ã‚‹ã¨ã„ã†äº‹ãŒã§ãる． ã“ã®ã‚ˆã†ãªå ´åˆç¯€ $D$ ã¯å†—é•·ã§ã‚ã‚Š, $C$ ãŒã‚ã‚Œã°æ–°ãŸãªå°Žå‡ºç¯€ã®ç”Ÿæˆã«å¯„ 与ã—ãªã„. ã“ã®æ¤œæŸ»ã‚’è¡Œã†ã®ãŒ Subsumption テストã§ã‚る． \subsection{Forward Subsumption テスト} \label{sec:forward-subsume} 導出ã•ã‚ŒãŸç¯€ãŒ sos ã‚ã‚‹ã„㯠usable ã«å«ã¾ã‚Œã‚‹ç¯€ã«ã‚ˆã£ã¦ subsume ã•ã‚Œã‚‹ å ´åˆ, ã“ã®ç¯€ã¯ä»¥é™ã®æŽ¨è«–ã«ã¯å½¹ã«ç«‹ãŸãªã„(冗長ã§ã‚ã‚‹). ã“ã®æ¤œæŸ»ã‚’ forward subsumption テストã¨å‘¼ã¶. \section{節ã«å¯¾ã™ã‚‹å¾Œå‡¦ç†} \label{sec:post-process} 節ã«å¯¾ã™ã‚‹å¾Œå‡¦ç†ã¨ã¯, å‰å‡¦ç†(第~\ref{sec:pre-process}節)を通ã£ãŸ 節ã«é–¢ã—ã¦è¡Œã‚れる処ç†ã§ã‚ã‚‹. ã“ã®å‡¦ç†ã«ã‚る節ãŒæ¸¡ã•ã‚Œã‚‹æ™‚点ã§ã¯, ã™ã§ã«ãã®ç¯€ã¯é©åˆ‡ãªç¯€é›†åˆ (sos ã‚ã‚‹ã„㯠usable)ã«è¿½åŠ ã•ã‚Œã„ã‚‹. å‰å‡¦ç†ã§ã¯ç¯€ã®æœ‰åŠ¹æ€§ã‚’判定ã™ã‚‹æ¤œæŸ»ãŒæ—¢å­˜ã®åˆ‡ã«ç…§ã‚‰ã—åˆã‚ã›ã¦ç¨®ã€…è¡Œã‚ã‚Œ ã¦ã„ãŸã®ã«å¯¾ã—ã¦, 後処ç†ã§ã¯é€†ã«æ–°ãŸãªå°Žå‡ºç¯€ã«ã‚ˆã£ã¦å†—é•·ã«ãªã‚‹ã‚ˆã†ãªæ—¢å­˜ã®ç¯€ãŒ ã‚ã‚‹ã‹ã©ã†ã‹ã‚’調ã¹ã‚‹ï¼Ž ãã®ã‚ˆã†ãªç¯€ãŒå­˜åœ¨ã—ãŸå ´åˆã¯ï¼ŒçŠ¶æ³ã«å¿œã˜ã¦å‰Šé™¤(back subsumption)ã—ãŸã‚Š, æ–°ãŸã«ç”Ÿæˆã•ã‚ŒãŸ demodulator ã«ã‚ˆã£ã¦æ—¢å­˜ã®ç¯€ã‚’簡約化(back demodulation) ã—ãŸã‚Šã™ã‚‹. ã¾ãŸ factoring ã«ã‚ˆã£ã¦ã•ã‚‰ã«æ–°ãŸãªç¯€ãŒç”Ÿæˆã•ã‚Œã‚‹ã“ã¨ã‚‚ã‚ã‚‹. 具体的ã«ã¯ä»¥ä¸‹ã®ã‚ˆã†ãªå‡¦ç†ãŒå®Ÿè¡Œã•ã‚Œã‚‹ï¼š \begin{enumerate} \item ç­‰å¼ã®å…¥ã‚Œæ›ãˆ フラグ eq-units-both-ways ㌠on ã‹ã¤, 処ç†å¯¾è±¡ã®ç¯€ãŒå˜ä¸€ç¯€ã§ã‚ã‚Š ãã®ãƒªãƒ†ãƒ©ãƒ«ãŒ equality リテラル(ç­‰å¼ã®ãƒªãƒ†ãƒ©ãƒ«)ã®å ´åˆã« 以下ã®å‡¦ç†ã‚’è¡Œã†ï¼š \begin{itemize} \item フラグ order-eq ㌠off ã§ã‚ã‚‹ã‹, ã‚ã‚‹ã„ã¯ãƒªãƒ†ãƒ©ãƒ«ã® ç­‰å¼ã‚’å‘ãã¤ã‘ã‚‹ã“ã¨ãŒå‡ºæ¥ãªã‹ã£ãŸã‚‚ã®ã§ã‚ã£ãŸãªã‚‰ã°, 以下ã®å‡¦ç†ã‚’ è¡Œã†. ãã†ã§ãªã‘ã‚Œã°ãªã«ã‚‚ã—ãªã„. \begin{enumerate} \item ç­‰å¼ã®å·¦å³è¾ºã‚’入れæ›ãˆãŸãƒªãƒ†ãƒ©ãƒ«ã‚’作æˆã—, \item ã“れを唯一ã®ãƒªãƒ†ãƒ©ãƒ«ã¨ã™ã‚‹æ–°ãŸãªå˜ä¸€ç¯€ã‚’作æˆã™ã‚‹ \item 作æˆã—ãŸç¯€ã®å°Žå‡ºå±¥æ­´ã« copy-rule 㨠flip-eq-rule を追加ã™ã‚‹ \item 作æˆã—ãŸç¯€ã‚’, 導出節å‰å‡¦ç† -- 第 ~\ref{sec:pre-process}節 -- ã«ã‹ã‘ã‚‹. \end{enumerate} \end{itemize} \item back demodulation ã®å®Ÿè¡Œ フラグ back-demod ㌠on ã‹ã¤, clause ã«å¯¾å¿œã™ã‚‹ demodulator ãŒå‰å‡¦ç†ã§ç”Ÿæˆã•ã‚Œã¦ã„ãŸå ´åˆã«å®Ÿè¡Œã™ã‚‹. back demodulation 㯠\ref{sec:back-demodulate} 節をå‚ç…§. \item back subsumption ã®ãƒ†ã‚¹ãƒˆ フラグ back-sub ㌠on ã®å ´åˆã«è¡Œã†(第 ~\ref{sec:back-subsume} 節をå‚ç…§). clause ã« subsume ã•ã‚ŒãŸç¯€ã®æ•°ã®åˆ†ã ã‘統計情報 cl-back-sub を増やã™. ã“ã®ã¨ã print-back-sub フラグ㌠on ã§ã‚ã‚‹ã‹, 入力節ã«å¯¾ã™ã‚‹å‡¦ç†ã§ ã‚ã‚‹å ´åˆã«ã¯, back subsume ã—ãŸæ—¨ãƒ¡ãƒƒã‚»ãƒ¼ã‚¸ã‚’å°å­—ã™ã‚‹. \item factoring フラグ factor ㌠on ã®å ´åˆã«è¡Œã†. \item back unit deletion フラグ back-unit-deletion ㌠on ã‹ã¤ clause ãŒå˜ä¸€ç¯€ã®å ´åˆã«è¡Œã†. 第 ~\ref{sec:back-unit-deletion} 節をå‚ç…§. \end{enumerate} \subsection{Back Subsumption テスト} \label{sec:back-subsume} 導出ã•ã‚ŒãŸæ–°ãŸãªç¯€ãŒ, sos ã‚ã‚‹ã„㯠usable ã«å«ã¾ã‚Œã¦ã„る節を subsume ã™ã‚‹ã‚ˆã†ãªå ´åˆ, subsume ã•ã‚Œã‚‹ç¯€ã¯å†—é•·ã§ã‚ã‚‹ã‹ã‚‰å‰Šé™¤ã™ã‚‹ã“ã¨ãŒå‡ºæ¥ã‚‹. ã“ã®æ¤œæŸ»ã‚’ back subsumption テストã¨å‘¼ã¶. \subsection{Back Unit Deletion} \label{sec:back-unit-deletion} 導出節ãŒå˜ä¸€ç¯€ã®å ´åˆ, ãã®ãƒªãƒ†ãƒ©ãƒ«ã¨ç¬¦å·ãŒé€†ã§ç…§åˆå¯èƒ½ãªãƒªãƒ†ãƒ©ãƒ« を削除ã™ã‚‹ã“ã¨ã«ã‚ˆã£ã¦ç¯€ã‚’ç°¡å˜åŒ–ã™ã‚‹ã“ã¨ãŒå‡ºæ¥ã‚‹. ã“れを sos ãŠã‚ˆã³ usable ã«å«ã¾ã‚Œã‚‹å…¨ã¦ã®ç¯€ã«å¯¾ã—ã¦å®Ÿè¡Œã™ã‚‹ã®ãŒ back unit deletion ã§ã‚ã‚‹. \section{推論終了ã®åˆ¤å®š} \label{sec:ending-process} 推論途中ã§ã¯ãƒ‘ラメータã®å€¤ã‚„空節ã®å°Žå‡ºã‚’監視ã—ã¦æŽ¨è«–ã®ä¸­æ–­/終了ã®åˆ¤å®šã‚’ è¡Œã†. ã¾ãšãƒ‘ラメータã«ã‚ˆã‚‹ 終了æ¡ä»¶ã®åˆ¤å®šã¯ä»¥ä¸‹ã®ã‚ˆã†ã«å®Ÿè¡Œã•ã‚Œ, ãã‚Œã«ä¼´ã£ã¦ã‚·ã‚¹ãƒ†ãƒ å†…部状態ãŒè¨­ 定ã•ã‚Œã‚‹. \begin{enumerate} \item パラメータ max-given ㌠-1 ã§ã¯ãªã, 統計情報㮠cl-given ㌠max-given 以上ã®å ´åˆ, 状態を「max-given ã§çµ‚了ã€ã¨ã™ã‚‹. \item パラメータ max-gen ㌠-1 ã§ã¯ãªã, 統計情報㮠cl-generated ㌠max-gen 以上ã®å ´åˆ, 状態を「max-gen ã§çµ‚了ã€ã¨ã™ã‚‹ï¼Ž \item パラメータ max-kept ㌠-1 ã§ã¯ãªã, 統計情報㮠cl-kept ㌠max-kept 以上ã®å ´åˆ, 状態を「max-kept ã§çµ‚了ã€ã¨ã™ã‚‹. \item 上記以外ãªã‚‰ã€Œå‡¦ç†ç¶™ç¶šã€ã¨ã™ã‚‹. \end{enumerate} 空節ã®åˆ¤å®šã¯æ¬¡ã®ã‚ˆã†ã«ã—ã¦è¡Œã†ï¼Ž \begin{enumerate} \item 節ã«å«ã¾ã‚Œã‚‹ãƒªãƒ†ãƒ©ãƒ«ã®æ•°ãŒ 0 ã®å ´åˆ. ã“ã‚Œã¯ç©ºç¯€ã§ã‚ã‚Š, 以下ã®å‡¦ç†ã‚’実行ã™ã‚‹. \begin{enumerate} \item フラグ print-message ㌠on ã§ã‚ã‚Œã°ç©ºç¯€ãŒå°Žå‡ºã•ã‚ŒãŸæ—¨å°å­—ã™ã‚‹. \item 統計情報 cl-kept ã‚’ 1 増やã™ï¼Ž \item 節ãŒå«ã¾ã‚Œã¦ã„る節集åˆã‹ã‚‰ã“ã®ç¯€ã‚’削除ã™ã‚‹ï¼Ž \item 統計情報 empty-clauses ã‚’ 1 増やã™ï¼Ž \item フラグ print-proofs ㌠on ã§ã‚ã‚Œã°è¨¼æ˜Žæœ¨ã‚’å°å­—ã™ã‚‹ï¼Ž \end{enumerate} \item リテラルã®æ•°ãŒä¸€ã¤ã®å ´åˆ(å˜ä¸€ç¯€) unit conflict ãŒã‚ã‚‹ã‹ã©ã†ã‹ã‚’調ã¹ã‚‹(第 ~\ref{sec:unit-conflict} 節をå‚ç…§). ãã®çµæžœ unit conflict ã¨ãªã£ãŸå ´åˆ, 以下ã®å‡¦ç†ã‚’è¡Œã†. \begin{enumerate} \item print-message フラグ㌠on ã®å ´åˆ unit confict ã¨ãªã£ãŸæ—¨å°å­—ã™ã‚‹. \item フラグ print-proofs ㌠on ã®å ´åˆè¨¼æ˜Žæœ¨ã‚’å°å­—ã™ã‚‹. \item 節ã®å«ã¾ã‚Œã¦ã„る節集åˆã‹ã‚‰ã“ã®ç¯€ã‚’削除ã™ã‚‹. \end{enumerate} \end{enumerate} \subsection{Unit Conflict 検査} \label{sec:unit-conflict} 与ãˆã‚‰ã‚ŒãŸå˜ä¸€ç¯€ã‚’åé§ã™ã‚‹ã‚ˆã†ãª, sos ã‚ã‚‹ã„㯠usable ã« å«ã¾ã‚Œã‚‹å˜ä¸€ç¯€ã®å…¨ã¦ã‚’探ã—, ã‚‚ã—ã‚ã‚Œã°ãã‚Œãžã‚Œã«ã¤ã„ã¦åé§ã‚’ 実行ã—ã¦ç©ºç¯€ã‚’作り出ã™å‡¦ç†ã§ã‚ã‚‹. \subsection{Factoring 処ç†} \label{sec:factoring-proc} 節 $C$ ã«å«ã¾ã‚Œã‚‹ 2ã¤ä»¥ä¸Šã®(åŒã˜ç¬¦å·ã®)リテラルã«ï¼Œmgu(most general unifier) $\sigma$ ãŒã‚ã‚‹ã¨ã—ãŸã¨ã，$\sigma C$ ($C$ ã®å„リテラルã®ã‚¢ãƒˆãƒ ã«, $\sigma$ ã‚’é©ç”¨ã—ãŸçµæžœ) ã‚’ $C$ ã® factor ã¨å‘¼ã¶ï¼Ž 例ãˆã°ï¼Œ $C = \underline{P(x)}\lor \underline{P(f(y))} \lor 〜Q(x)$ ã¨ã—ãŸã¨ã， (下線を引ã„ãŸ)最åˆã¨2番目ã®ãƒªãƒ†ãƒ©ãƒ«ã¯ï¼Œmgu $\sigma = \{f(y)/x \}$ ã‚’æŒã¤ï¼Ž ã—ãŸãŒã£ã¦ï¼Œ$\sigma C = P(f(y))\lor 〜Q(f(y))$ 㯠$C$ ã® factor ã§ã‚る． \subsubsection{Factor Simplification 処ç†} \label{sec:factor-simplify} factor simplification ã¯, ã‚る節㮠factor ãŒå…ƒã®ç¯€ã‚’ subsume ã™ã‚‹ ã‚‚ã®ã‹ã©ã†ã‹ã‚’調ã¹, ãã†ã§ã‚ã‚Œã°å…ƒã®ç¯€ã®ãƒªãƒ†ãƒ©ãƒ«ã‚’ factor 㮠リテラルã§ç½®ãæ›ãˆã‚‹. ã“ã®ã‚ˆã†ã«ã—㦠clause ã‚’ç°¡å˜åŒ–ã—ã¦, 冗長㪠リテラルを削除ã—ã¦è¡Œã処ç†ã§ã‚ã‚‹. %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \chapter{推論ルール概説} \label{sec:desc-resolution} 本章ã§ã¯å„種ã®ç¯€å°Žå‡ºæ–¹å¼ã«ã¤ã„ã¦ç°¡å˜ã«èª¬æ˜Žã™ã‚‹. \section{Binary Resolution} \label{sec:binary-res} binary resolution ã¯ãƒªãƒ†ãƒ©ãƒ«ã¨ãƒªãƒ†ãƒ©ãƒ« 1 対 1 ã®é€šå¸¸ã® resolution ルールã§ã‚ã‚‹. resolution ã®ã‚¹ã‚­ãƒ¼ãƒ ã¯å›³ \ref{fig:binary-res} ã«ç¤ºã™é€šã‚Šã§ã‚る： \begin{figure}[htbp] \begin{center} $$ \infer{ \begin{array}{ll} \mbox{\textbf{binary resolvent:}} & \sigma K_1, \cdots, \sigma K_k, \sigma M_1,\cdots,\sigma M_m \end{array} } {\begin{array}{ll} \mbox{\textbf{clause-1:}}& 〜L', M_1,\cdots,M_m \\ \mbox{\textbf{clause-2:}}& L,K_1,\cdots,K_k \end{array}\;\;\;\;\sigma 㯠L 㨠L' ã® mgu } $$ \caption{{binary resolution ã®ã‚¹ã‚­ãƒ¼ãƒ }} \label{fig:binary-res} \end{center} \end{figure} 図ã«ç¤ºã—ãŸã‚¹ã‚­ãƒ¼ãƒ ã§, 二ã¤ã®è¦ªç¯€ã¯åŒä¸€ã®å¤‰æ•°é …を共通ã—ã¦æŒã£ã¦ã„ã¦ã¯ãªã‚‰ãªã„. ã“ã®æ¡ä»¶ã¯, 生æˆç¯€ã®å¤‰æ•°ã¯å¸¸ã«ãƒ¦ãƒ‹ãƒ¼ã‚¯ã«ãªã‚‹ã‚ˆã†ã«å¤‰æ•°ã®ã¤ã‘替ãˆãŒè¡Œã‚れ㦠ã„ã‚‹ãŸã‚, 自動的ã«æº€è¶³ã•ã‚Œã¦ã„ã‚‹. %%% \section{Hyper Resolution} \label{sec:hyper-res} \label{sec:neg-hyper-res} ã‚る節ã‹ã‚‰å°Žã‹ã‚Œã‚‹å°Žå‡ºç¯€ã‚’考ãˆãŸå ´åˆ, ãれを得るã®ã« ç•°ãªã£ãŸå°Žå‡ºã‚¹ãƒ†ãƒƒãƒ—ãŒã‚ã‚Šå¾—ã‚‹. 従ã£ã¦, åŒã˜å°Žå‡ºç¯€ãŒè¤‡æ•°å›žç”Ÿæˆã•ã‚Œã‚‹å ´åˆãŒã‚ã‚Šå¾—ã‚‹. ã“ã‚Œã¯æœ›ã¾ã—ããªã„ã®ã§, ã“ã®è¤‡æ•°ã®ã‚¹ãƒ†ãƒƒãƒ—ã‚’ã¾ã¨ã‚㦠一度㮠resolution ã«ã‚ˆã£ã¦å°Žå‡ºã—よã†ã¨ã™ã‚‹ã®ãŒ hyper resolution ã§ã‚ã‚‹. åé§ã‚¨ãƒ³ã‚¸ãƒ³ã§ã¯ï¼Œpositive hyper resolution 㨠negative hyper resolution ã®2種㮠hyper resolution 機能をæä¾›ã—ã¦ã„ã‚‹ãŒï¼Œã“れらã¯ã„ãšã‚Œã‚‚ 一種㮠semantic resolution ã§ã‚り，PI-resolution ã¨å‘¼ã°ã‚Œã‚‹ã‚ˆã‚Šä¸€èˆ¬çš„㪠resolution rule ã®ç‰¹æ®Šå½¢ã§ã‚る． ã“ã“ã§ã¯ã¾ãšæœ€åˆã«ï¼Œã“ã® semantic resolution ã®è€ƒãˆã‹ãŸã«ã¤ã„ã¦èª¬æ˜Žã—(\cite{chang-lee})， ã¤ã„ã§ï¼Œhyper resolution ã®ã‚¹ã‚­ãƒ¼ãƒ ã«ã¤ã„ã¦èª¬æ˜Žã™ã‚‹ï¼Ž \subsection{Semantic Resolution ã®è€ƒãˆæ–¹}\cite{chang-lee} 節ã®é›†åˆ $S$ を， $S = \{〜P \lor 〜Q \lor R, P\lor R, Q\lor R, 〜R\}$ ã¨ã™ã‚‹ï¼Žã“ã®ç¯€é›†åˆã®å……足ä¸èƒ½æ€§ã‚’示ã™ã®ã«ï¼Œé€šå¸¸ã® binary-resolution ã‚’ 使ã†ã¨ï¼Œä»¥ä¸‹ã«ç¤ºã™ã‚ˆã†ãªæ¼”ç¹¹éŽç¨‹ã¨ãªã‚‹ï¼š \begin{center} {\small \begin{tabular}{lll} (1) & $〜P \lor 〜Q \lor R$ & $S$ ã®è¦ç´  \\ (2) & $P\lor R$ & $S$ ã®è¦ç´  \\ (3) & $Q\lor R$ & $S$ ã®è¦ç´  \\ (4) & $〜R$ & $S$ ã®è¦ç´  \\ (5) & $〜Q\lor R$ & (1) 㨠(2)ã‹ã‚‰\\ (6) & $〜P\lor R$ & (1) 㨠(3)ã‹ã‚‰ \\ (7) & $〜P\lor 〜Q$ & (1) 㨠(4) ã‹ã‚‰\\ (8) & $P$ & (2) 㨠(4) ã‹ã‚‰ \\ (9) & $Q$ & (3) 㨠(4) ã‹ã‚‰ \\ (10) & $〜Q\lor R$ & (1) 㨠(8)ã‹ã‚‰ \\ (11) & $〜P\lor R$ & (1) 㨠(9)ã‹ã‚‰ \\ (12) & $R$ & (2) 㨠(6) ã‹ã‚‰ \\ (13) & $〜Q$ & (4) 㨠(5) ã‹ã‚‰ \\ (14) & $〜P$ & (4) 㨠(6) ã‹ã‚‰ \\ (15) & â–¡ & (4) 㨠(12) ã‹ã‚‰ \\ \end{tabular} } \end{center} 導出節ã®ã†ã¡ï¼Œå®Ÿéš›ã«è¨¼æ˜Žã«ä½¿ã‚ã‚Œã¦ã„ã‚‹ã®ã¯ (6) 㨠(12) ã ã‘ã§ã‚る． ãã®ä»–ã®å°Žå‡ºç¯€ã¯å…¨ã¦å†—é•·ã§ã‚る．ã“ã®æ§˜ãªå†—é•·ãªç¯€ã®å°Žå‡ºã‚’é¿ã‘ã‚‹ã®ãŒ 目的ã¨ãªã‚‹ï¼Ž 節をé©å½“ãª2ã¤ã®ã‚°ãƒ«ãƒ¼ãƒ— $S_1$ 㨠$S_2$ ã«åˆ†ã‘ã‚‹ã“ã¨ãŒå‡ºæ¥ãŸã¨ã™ã‚‹. ã¾ãŸ, ãŠãªã˜ã‚°ãƒ«ãƒ¼ãƒ—ã«å«ã¾ã‚Œã‚‹ç¯€åŒå£«ã®é–“ã§ã¯ resolution ã‚’è¡Œã‚ãªã„ã¨ã™ã‚‹. ã“ã®ã‚ˆã†ã«ã™ã‚‹äº‹ã§, 導出ã•ã‚Œã‚‹ç¯€ã®æ•°ãŒæ¸›ã‚‹ã“ã¨ã¯ã‚ãらã‹ã§ã‚ã‚‹. semantic resolution ã§ã¯, 節ã®ã‚°ãƒ«ãƒ¼ãƒ—分ã‘ã«\textbf{解釈}(interpretation) を用ã„ã‚‹. 上ã®ä¾‹ã§, (2) 㨠(3) ã¯, 解釈 $I = \{〜P, 〜Q, 〜R\}$ ã§ã¯ false ã§ã‚ã‚‹. 一方 (1) 㨠(4) ã¯æº€è¶³ã•ã‚Œã‚‹. ã“ã®ã‚ˆã†ã«ã™ã‚‹ã“ã¨ã§, $S$ を解釈㧠true ã«ãªã‚‹ã‚‚ã®ã¨ãã†ã§ãªã„ã‚‚ã®ã¨ã«åˆ†é¡žã™ã‚‹ã“ã¨ãŒå‡ºæ¥ã‚‹. åé§ã‚¨ãƒ³ã‚¸ãƒ³ã¯, 節ã®å……足ä¸å¯èƒ½ãªç¯€é›†åˆã‚’扱ã†ã‚‚ã®ã§ã‚ã‚‹ã‹ã‚‰, ã©ã®ã‚ˆã†ãªè§£é‡ˆã‚’採用ã—ãŸã¨ã—ã¦ã‚‚, ãã‚ŒãŒå…¨ã¦ã®ç¯€ã‚’満足ã—ãŸã‚Šå¦å®šã™ã‚‹ よã†ãªã“ã¨ã¯ç„¡ã„. ã—ãŸãŒã£ã¦, ã©ã®ã‚ˆã†ãªè§£é‡ˆã«ã‚ˆã£ã¦ã‚‚節集åˆã‚’ 2ã¤ã®é›†åˆã«åˆ†é¡žã™ã‚‹ã“ã¨ãŒå¯èƒ½ã§ã‚ã‚‹. 以下ã§ã¯, å…ˆã®ä¾‹ã®ç¯€é›†åˆ $S$ ãŒä¸Šã§è¿°ã¹ãŸè§£é‡ˆ $I$ ã«ã‚ˆã£ã¦, 二ã¤ã®ã‚°ãƒ«ãƒ¼ãƒ— $S_1 = \{(2), (3)\}$, $S_2 = \{(1), (4)\}$ ã«åˆ†é¡žã•ã‚Œã¦ã„ã‚‹ã‚‚ã®ã¨ã™ã‚‹. ã“ã®ã‚ˆã†ã«åˆ†é¡žã—ã¦ã‚‚, (2) 㨠(3) 㯠(4) 㨠resolve ã™ã‚‹ã“ã¨ãŒå‡ºæ¥ã‚‹. 以下ã§è¿°ã¹ã‚‹ã‚ˆã†ã«, ã“ã® resolution ã«ã¤ã„ã¦ã‚‚é¿ã‘ã‚‹ã“ã¨ãŒå¯èƒ½ã§ã‚ã‚‹. 上ã®ã‚ˆã†ãª resolution を回é¿ã™ã‚‹ãŸã‚, 述語記å·ã®é–“ã®é †åºä»˜ã‘を使ã†ã“ã¨ãŒ 出æ¥ã‚‹. ãŸã¨ãˆã°, $S$ ã«å«ã¾ã‚Œã‚‹è¿°èªžè¨˜å·ã« \[ P > Q > R \] ã¨ã„ã†é †åºã‚’付ã‘ã‚‹ã‚‚ã®ã¨ä»®å®šã™ã‚‹. ã“ã®é †åºä»˜ã‘ã®ã‚‚ã¨ã§, 2ã¤ã®ç¯€(片方㯠$S_1$ ã®ç¯€, ã‚‚ã†ç‰‡æ–¹ã¯ $S_2$ ã®ç¯€) ã‚’ resolve ã™ã‚‹å ´åˆ, resolve ã•ã‚Œã‚‹ãƒªãƒ†ãƒ©ãƒ«ã§ $S_1$ ã«å±žã™ã‚‹ç¯€ã®ã‚‚ã®ã¯ 最大ã®è¿°èªžè¨˜å·ã‚’ã‚‚ã£ã¦ã„ãªã‘ã‚Œã°ãªã‚‰ãªã„, ã¨ã„ã†åˆ¶ç´„æ¡ä»¶ã‚’付ã‘ã‚‹. ã“ã®åˆ¶ç´„ã®ã‚‚ã¨ã§ã¯, $R$ 㯠(2) ãŠã‚ˆã³ (3) ã§æœ€å¤§ã®è¿°èªžè¨˜å·ã§ã¯ãªã„ãŸã‚, (2) ã‚’ (4) 㨠resolve ã™ã‚‹ã“ã¨ã¯å‡ºæ¥ãªã„ã—，ã¾ãŸ, (3) 㨠(4) ã«é–¢ã—ã¦ã‚‚åŒæ§˜ã§ã‚ã‚‹. 次㫠semantic resolution ã§é‡è¦ã¨ãªã‚‹æ¦‚念ã§ã‚ã‚‹ clash ã«ã¤ã„ã¦èª¬æ˜Žã™ã‚‹. ã¾ãš, å…ˆã®ä¾‹ã®ç¯€ã«ã¤ã„ã¦è¦‹ã¦ã¿ã‚‹. \begin{enumerate} \item[(1)] $〜P\lor 〜Q \lor R$ \item[(2)] $P\lor R$ \item[(3)] $Q\lor R$ \item[(4)] $〜R$ \end{enumerate} 解釈 $I$ ã‚’ $I = \{〜P,〜Q,〜R\}$ ã¨ã—, 述語記å·ã®é †åºã‚’ $P > Q > R$ ã¨ã™ã‚‹. 上ã§è­°è«–ã—ãŸ2ã¤ã®åˆ¶ç´„ã‚’é©ç”¨ã™ã‚‹ã¨, 次ã®2ã¤ã® 節ã®ã¿ãŒå°Žå‡ºå‡ºæ¥ã‚‹ï¼š \begin{enumerate} \item[(5)] $〜Q\lor R$ \hskip4cm (1)ã¨(2)ã‹ã‚‰ \item[(6)] $〜P\lor R$ \hskip4cm (1)ã¨(3)ã‹ã‚‰ \end{enumerate} ã“れらã®ä¸¡æ–¹ã¨ã‚‚ $I$ ã«ã‚ˆã£ã¦æº€è¶³ã•ã‚Œã‚‹. ã—ãŸãŒã£ã¦ã“れらを $S_2$ ã¸å…¥ã‚Œ, ãれらを $S_1$ ã«å«ã¾ã‚Œã‚‹ç¯€ã¨ resolve ã™ã‚‹. (5) 㯠(3) 㨠(6) 㯠(2) 㨠resolve 出æ¥ã‚‹. 両方ã¨ã‚‚åŒã˜çµæžœ $R$ ã«ãªã‚‹. \begin{enumerate} \item[(7)] $R$ \hskip5cm (3)ã¨(5)ã‹ã‚‰ \item[(8)] $R$ \hskip5cm (2)ã¨(6)ã‹ã‚‰ \end{enumerate} 節 $R$ 㯠$I$ ã§ã¯ false ãªã®ã§, ãれを $S_1$ ã¸å…¥ã‚Œ, ã“れ㨠$S_2$ ã«å«ã¾ã‚Œã‚‹ 節ã¨ã®é–“㧠resolve ã‚’è¡Œã†. $〜R$ ㌠$S_2$ ã«ã‚ã‚‹ã®ã§, 空節 â–¡ ã‚’å¾—ã‚‹. 上ã®äºŒã¤ã® $R$ ã®å°Žå‡ºéŽç¨‹ã‚’見るã¨, ã¨ã‚‚ã«ç¯€ (1), (2) 㨠(3) ãŒä½¿ã‚ã‚Œã¦ã„ã‚‹. ç•°ãªã‚‹ã®ã¯ãれらãŒä½¿ã‚れる順åºã§ã‚ã‚‹. ã©ã¡ã‚‰ã‹ä¸€ã¤ã ã‘ãŒå¿…è¦ã§ã‚ã‚Š, 片方㯠冗長ã§ã‚ã‚Š, 極ã‚ã¦ç„¡é§„ã§ã‚ã‚‹. ã“ã®å†—長性を無ãã™ãŸã‚ã«, clash ã¨ã„ã†æ¦‚念を å°Žå…¥ã™ã‚‹. clash ã®è€ƒãˆæ–¹ã¯, (1), (2), (3) ã®3ã¤ã®ç¯€ã‹ã‚‰, 中間的ãªç¯€ (5) ã‚„ (6) を経由ã›ãšã«, 直接的㫠$R$ を導出ã™ã‚‹ã¨ã„ã†ã‚‚ã®ã§ã‚ã‚‹. ã“ã®ä¾‹ã§ã¯, é›†åˆ $\{(1), (2), (3)\}$ ã‚’ clash ã¨å‘¼ã¶. clash ã®è©³ç´°ã« ã¤ã„ã¦ã¯, 次ã®ãƒ‘ラグラフã§èª¬æ˜Žã™ã‚‹. \subsection{PI-resolution ã®å®šç¾©} $I$ を解釈ã¨ã—，$P$ を述語記å·ã®é †åºä»˜ã‘ã¨ã™ã‚‹ï¼Ž 節ã®æœ‰é™é›†åˆ $\{E_1,\ldots, E_q, N\}$, $q \ge 1$ 㯠次ã®æ¡ä»¶ã‚’満足ã™ã‚‹æ™‚，\textsl{semantic clash} ã¨å‘¼ã°ã‚Œã‚‹ï¼š \begin{enumerate} \item $E_1,\ldots, E_n$ 㯠$I$ 㧠false \item $R_1 = N$ ã¨ã™ã‚‹. å„ $i = 1, \ldots q$ ã«ã¤ã„ã¦, $R_i$ 㨠$E_i$ ã® resolvent $R_{i+1}$ ãŒå­˜åœ¨ã™ã‚‹. \item resolve ã•ã‚Œã‚‹ $E_i$ ã®ãƒªãƒ†ãƒ©ãƒ«ã¯, $E_i, i = 1,\ldots q$ ã® ã†ã¡ã§æœ€ã‚‚大ããªè¿°èªžè¨˜å·ã‚’æŒã£ã¦ã„ã‚‹. \item $R_{q+1}$ 㯠$I$ ã«ãŠã„㦠false \end{enumerate} $R_{q+1}$ ã‚’ (PI-clash $\{E_1,\ldots,E_q,N\}$ ã®) PI-resolvent ã¨å‘¼ã¶. ã¾ãŸ, $E_1,\ldots,E_n$ ã‚’ \textbf{electrons}, $N$ ã‚’ \textbf{nucleus} ã¨å‘¼ã¶. 例ãˆã°, $$ E_1 = A_1 \lor A_3, \hskip1cm E_2 = A_2 \lor A_3, \hskip1cm N = 〜A_1 \lor 〜A_2 \lor A_3 $$ ã¨ã™ã‚‹. 解釈 $I$ ã‚’ $I = \{〜A_1, 〜A_2, 〜A_3\}$ ã¨ã—, é †åº $P$ ã‚’ $A_1 > A_2 > A_3$ ã¨ã™ã‚‹. ã“ã®å ´åˆ, $\{E_1,E_2,N\}$ 㯠PI-clash ã§ã‚ã‚‹. ã“ã® clash ã® PI-resolvent ã¯, $A_3$ ã§ã‚ã‚‹($A_3$ 㯠$I$ 㧠false ã§ã‚ã‚‹ã“ã¨ã«æ³¨æ„). \subsection{Negative Hyper Resolution} negative hyper resolution ã¯ï¼Œä¸Šã§è¿°ã¹ãŸ PI-resolution 㧠解釈 $I$ ã«å¦å®šè¨˜å·ãŒå«ã¾ã‚Œã¦ã„ãªã„å ´åˆã§ã‚る． negative hyper resolution ã®ã‚¹ã‚­ãƒ¼ãƒ ã‚’図\ref{fig:hyper-res}ã«ç¤ºã™. \begin{figure}[htbp] \begin{center} %\epsfxsize=\textwidth %\centering\epsfbox{hyper-res.pdf} \includegraphics[width=\textwidth]{hyper-res.pdf} \caption{{hyper resolution ã®ã‚¹ã‚­ãƒ¼ãƒ }} \label{fig:hyper-res} \end{center} \end{figure} 図㧠nucleus ã¨ã‚ã‚‹ã®ã¯, å°‘ãªãã¨ã‚‚一ã¤ã®æ­£ã®ãƒªãƒ†ãƒ©ãƒ«ã‚’ã‚‚ã¤ç¯€ã§ã‚ã‚‹. åé§å¯èƒ½ãªç¯€é›†åˆã«ã¯ã“ã®ã‚ˆã†ãªç¯€ãŒå¿…ãšå­˜åœ¨ã™ã‚‹. nucleus ã®å€‹ã€…ã®æ­£ã®ãƒªãƒ†ãƒ©ãƒ«ã«ã¤ã, è² ã®ãƒªãƒ†ãƒ©ãƒ«ã®ã¿ã‚’æŒã¤ç¯€ electron ãŒå¿…è¦ã§ã‚ã‚‹. ã‚„ã¯ã‚Š, åé§å¯èƒ½ãªç¯€é›†åˆã«ã¯ã“ã®ã‚ˆã†ãªç¯€ãŒå¿…ãšå­˜åœ¨ã™ã‚‹. nucleus ã¯å…¨ã¦ã® electron ã¨ã€ŒåŒæ™‚ã«ã€resolve ã•ã‚Œãªã‘ã‚Œã°ãªã‚‰ãªã„. çµæžœã¨ã—ã¦è² ã®ãƒªãƒ†ãƒ©ãƒ«ã®ã¿ã‹ã‚‰ãªã‚‹ç¯€ãŒ, 導出節ã¨ã—ã¦å¾—られる(図㮠hyper-resolvent). ã“ã®å°Žå‡ºç¯€ã¯, 以é™ã® hyper-resolution ステップ㧠electron ã¨ã—ã¦ä½¿ç”¨ã™ã‚‹ã“ã¨ãŒå‡ºæ¥ã‚‹. 我々ã®åé§ã‚¨ãƒ³ã‚¸ãƒ³ã§ã¯, フラグ neg-hyper-res ㌠on ã®æ™‚㫠使用ã•ã‚Œã‚‹ negative-hyper-resolution ã«ç›¸å½“ã™ã‚‹. \subsection{Positive Hyper Resolution} フラグ hyper-res ㌠on ã®æ™‚ã«ä½¿ç”¨ã•ã‚Œã‚‹ã®ã¯, ã“れ㨠dual ãªé–¢ä¿‚ã«ã‚ã‚‹, \textsl{positive} hyper resolution ã§ã‚ã‚‹. ã“ã‚Œã¯, 上ã§è¿°ã¹ãŸã‚¹ã‚­ãƒ¼ãƒ ã§, リテラル㮠正/è²  を逆ã«ã™ã‚‹äº‹ã§å¾—られ， PI-resolution ã§ï¼Œè§£é‡ˆ $I$ ã«å«ã¾ã‚Œã‚‹å„リテラルãŒå¦å®šè¨˜å·ã‚’å«ã‚€å ´åˆã« 相当ã™ã‚‹ï¼Ž å¦å®šã®å½¢ã§ä¸Žãˆã‚‰ã‚Œã‚‹çµè«–ã¯, 通常負ã®ãƒªãƒ†ãƒ©ãƒ«ã®ã¿ã‚’å«ã‚€ã“ã¨ãŒå¤šã„ãŸã‚, negative hyper-resolution ã® electron ã¨ã—ã¦ç”¨ã„る事ãŒå‡ºæ¥ã‚‹ã®ã§, çµè«–ã‹ã‚‰ä»®å®šã¸å‘ã‹ã£ã¦ã®, 後å‘ã推論ã«é©ã—ã¦ã„ã‚‹ã¨è¨€ãˆã‚‹. 一方 positive hyper-resolution ã¯, 仮定ã‹ã‚‰çµè«–ã¸å‘ã‘ã¦ã®, å‰å‘ã㮠推論ãŒå¯èƒ½ã§ã‚ã‚‹. %%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{Paramodulation} \label{sec:paramod} paramodulation ã¯ç­‰å·ã‚’扱ã†ãŸã‚ã®æŽ¨è«–ルールã§ã‚ã‚‹. 図~\ref{fig:paramod-rule} ã« paramodulation ã®ã‚¹ã‚­ãƒ¼ãƒ ã‚’示ã™. 図ã§, $l = r$ 㯠\textbf{paramodulator} (æ­£ã®ç­‰å¼ãƒªãƒ†ãƒ©ãƒ«), $f(t)$ 㯠$t$ を副項ã«æŒã¤ã‚ˆã†ãªãƒªãƒ†ãƒ©ãƒ« ã§ã‚ã‚‹. $f(\sigma{r})$ ã¯, ãã® $t$ ã‚’ $\sigma(r)$ ã§ç½®ãæ›ãˆãŸé …ã‚’ 表ã™ã‚‚ã®ã¨ã™ã‚‹. \begin{figure}[htbp] \begin{center} $$ \infer{ \begin{array}{ll} \mbox{\textbf{paramodulant:}} & f(\sigma r), \sigma L_1,\cdots,\sigma L_n,\sigma M_1,\cdots,\sigma M_m \end{array} } {\begin{array}{l} l = r, L_1,\cdots,L_n \\ f(t), M_1,\cdots,M_m \end{array}\hskip2cm\sigma 㯠l 㨠t ã® mgu } $$ \caption{{paramodulation ã®ã‚¹ã‚­ãƒ¼ãƒ }} \label{fig:paramod-rule} \end{center} \end{figure} 図ã§, $sigma$ ã¯, リテラル $f(t)$ ã®å‰¯é … $t$ 㨠paramdulator 㮠左辺 $l$ ã¨ã® mgu(most general unifier) ã§ã‚ã‚‹ ($\sigma l = t$). paramodulant 㯠$t$ ã‚’ paramodulator ã®å³è¾ºã« $sigma$ ã‚’é©ç”¨ã—㟠もã®($f(\sigma r)$) ã§ç½®ãæ›ãˆã‚‹ã“ã¨ã«ã‚ˆã£ã¦å¾—られる. %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{Demodulation} \label{sec:demod} demodulation ã¯ï¼Œå°Žå‡ºã•ã‚ŒãŸç¯€ã«é©ç”¨ã•ã‚Œï¼Œãã‚Œã«å«ã¾ã‚Œã‚‹ãƒªãƒ†ãƒ©ãƒ«ã®ã‚¢ãƒˆãƒ ã‚’ 簡約化ã™ã‚‹ï¼Ž ã™ãªã‚ã¡ï¼Œ$l\rightarrow r$ ã®å½¢ã‚’ã—㟠demodulator ãŒã‚り，ã‚るリテラル $l$ ãŒé … $t$ を副項ã¨ã—ã¦å«ã‚€ $P[t]$ ã®å½¢ã‚’ã—ã¦ã„ã‚‹ã‚‚ã®ã¨ã™ã‚‹ï¼Ž ã“ã®ã¨ã，$\sigma l = t$ ã¨ãªã‚‹ã‚ˆã†ãªï¼Œå¤‰æ•°ç½®æ›ãŒã‚ã£ãŸã¨ãã«ï¼Œ $l$ を，$P[\sigma r]$ ã«æ›¸ãæ›ãˆã‚‹ï¼Ž demodulator ã¨ã—ã¦ï¼Œ$L = R$ ã¨ã„ã†ç­‰å¼ã®ãƒªãƒ†ãƒ©ãƒ«ã®ã¿ã‹ã‚‰ãªã‚‹ç¯€ãŒç”¨ã„られる． ã“れを，項ã®æ›¸ãæ›ãˆè¦å‰‡ã¨ã—ã¦ç”¨ã„ã‚‹ãŸã‚ã«ã¯ï¼Œ ç­‰å¼ã®æ–¹å‘付ã‘ãŒå¿…è¦ã§ã‚る． ã¤ã¾ã‚Šï¼Œä½•ã‚‰ã‹ã®é †åºé–¢ä¿‚ã«ã‚ˆã£ã¦ï¼Œç­‰å¼ã®å·¦å³è¾ºã‚’æ–¹å‘付ã‘ã‚‹å¿…è¦ãŒ ã‚る．åé§ã‚¨ãƒ³ã‚¸ãƒ³ã§ã¯ï¼Œã“ã®é †åºã®åˆ¤å®šã«ï¼Œå˜ç´”ãªè¾žæ›¸å¼é †ã¨ lrpo ã® 2種 を用æ„ã™ã‚‹ï¼Ž \subsection{実行時ã®demodulator判定} \label{sec:dynamic-demodulator} フラグ dynamic-demod ㌠on ã®å ´åˆ, åé§ã‚¨ãƒ³ã‚¸ãƒ³ã¯, å…¨ã¦ã® equality ($\alpha = \beta$)ã‚’ demodulator ã¨ã—ã¦ä½¿ãˆã‚‹ã‹ ã©ã†ã‹ã‚’判定ã™ã‚‹. フラグ dynamic-demod ã‚ã‚‹ã„ã¯, dynamic-demod-all ㌠on ã«ãªã£ã¦ã„ã‚‹ 状æ³ã§ã¯, å¿…ãšãƒ•ãƒ©ã‚° order-eq ㌠on ã«ãªã£ã¦ã„ã‚‹ã¯ãšã§ã‚ã‚‹. ã“ã®æ™‚フラグ lrpo ㌠on ã®å ´åˆã«ã¯, ç­‰å¼ã®å‘ãã¤ã‘ã®åˆ¤å®šã¨ã—㦠LRPO ã‚’, ãã†ã§ãªã„å ´åˆã¯å˜ç´”ãªé‡ã¿ã¨è¾žæ›¸å¼é †ã«ã‚ˆã‚‹æ¯”較ãŒè¡Œã‚れる. ã“ã®çµæžœç­‰å¼ã®å‘ãã¤ã‘ãŒè¡Œã‚れるãŒ, ã㮠節㌠demodulator ã¨ã—ã¦ä½¿ãˆã‚‹ã‹ã©ã†ã‹ã¯, 次ã®ã‚ˆã†ãªå‡¦ç†ã§ 判定ã•ã‚Œã‚‹. ãªãŠæ¤œæŸ»ã®å¯¾è±¡ã¨ã™ã‚‹ç¯€ã¯, 正㮠equality ã‹ã¤å˜ä¸€ç¯€ã§ã‚ã‚‹. \begin{enumerate} \item 節ã®ãƒªãƒ†ãƒ©ãƒ« $l (\alpha = beta)$ ã«é–¢ã—ã¦ä»¥ä¸‹ã®åˆ¤å®šã‚’実行ã™ã‚‹ï¼š \begin{description} \item[フラグ lrpo ㌠off ã®å ´åˆ] \begin{enumerate} \item $\beta$ ㌠$\alpha$ ã®å‰¯é …ã§ã‚れ㰠:normal ã¨ã™ã‚‹ \item 辞書å¼é †ã®æ„味㧠$\alpha > \beta$ ã‹ã¤ $vars(\alpha) \supseteq vars(\beta)$ ãªã‚‰ã°, \begin{enumerate} \item フラグ dynamic-demod-all ㌠on ã§ã‚れ㰠OK ã¨ã™ã‚‹ \item dynamic-demod-all ㌠off 㧠$wt(\beta)\leq 1$ ãªã‚‰ã° OK ã¨ã™ã‚‹ \item ãれ以外ã®å ´åˆã¯ NG ã¨ã™ã‚‹ \end{enumerate} \item フラグ dynamic-demod-lex-dep 㨠dynamic-demod-all 㮠両方㌠on ã®ã¨ã, $\alpha$ 㨠$\beta$ ãŒå¤‰æ•°ã‚’除外ã™ã‚Œã°, 構文的ã«åŒä¸€ã®é …ã§ã‚ã‚‹å ´åˆã« ORDER-DEP ã¨ã™ã‚‹. \item ãれ以外ã®å ´åˆã¯ NG ã¨ã™ã‚‹ \end{enumerate} \item[フラグ lrpo ㌠on ã®å ´åˆ] \begin{enumerate} \item $l$ ã®ç­‰å¼ã®å‘ãã¤ã‘ãŒæ­£ã—ãè¡Œã‚ã‚Œã¦ã„ã‚‹å ´åˆ, OK ã¨ã™ã‚‹. \item フラグ dynamic-demod-lex-op ㌠on ã®å ´åˆ, $vars(\alpha)\supseteq vars(\beta)$ ORDER-DEP ã¨ã™ã‚‹. \item ãれ以外ã®å ´åˆã¯ NG ã¨ã™ã‚‹ \end{enumerate} \end{description} \end{enumerate} 上ã®å‡¦ç†ã§, $vars(t)$ ã¯, é … $t$ ã«å‡ºç¾ã™ã‚‹å¤‰æ•°ã®é›†åˆã‚’æ„味ã™ã‚‹. \subsection{Back Demdulation ã®å®Ÿè¡Œ} \label{sec:back-demodulate} back demodulation ã¨ã¯ï¼Œå°Žå‡ºã•ã‚ŒãŸç¯€ãŒæ­£ã®å˜ä¸€ã® equality 節 (一ã¤ã® $\alpha = \beta$ ã®å½¢ã®ãƒªãƒ†ãƒ©ãƒ«ã®ã¿ã‹ã‚‰ãªã‚‹ç¯€) 㧠ã‚ã£ãŸå ´åˆã«ï¼Œãれを demodulator ã¨ã—ã¦ç”¨ã„ã¦ï¼Œusable ãŠã‚ˆã³ sos ã«å«ã¾ã‚Œã‚‹å…¨ã¦ã®ç¯€ã«é–¢ã—㦠demodulation を実行ã™ã‚‹ã‚‚ã®ã§ã‚る． 導出節㌠demodulator ã¨ã—ã¦é©åˆ‡ãªã‚‚ã®ã‹ã©ã†ã‹ã®åˆ¤å®šã¯ï¼Œ 導出節ã«å¯¾ã™ã‚‹å‰å‡¦ç†(第\ref{sec:pre-process}節 ã‚’å‚ç…§)ã§è¡Œã‚ã‚Œã¦ã„る． %%% Local Variables: %%% mode: latex %%% TeX-master: t %%% End: cafeobj-1.5.4/doc/PigNose/hyper-res.pdf0000644000000000000000000004435212415124723016343 0ustar rootroot%PDF-1.3 %Äåòåë§ó ÐÄÆ 4 0 obj << /Length 5 0 R /Filter /FlateDecode >> stream x›['7ÅßûS4, $½íKß $ ñíH<ž¢,Í"…<ðõùwÛ.w÷gEò°;½Çe»\uêbÏý·ýýÈÿqŽ½ÛÖþ??ôíÿÝ¿ýóO®ÿÇOúÓëÏ8xú‡m›úùG?¬Ñ÷/}œ–!l®‹~˜Ö¥~Ѐ%êg;ü¥ßÿá¹w~sØÒìÎ Û4;þî–™9b÷ü¡û'7¸ÞõÏïû§Ÿ}Þ?ÿ«ÿãs†É ú· Û8Ïypß îž~nûÁyÖdG»q˜–‘ýïs·Ãû§7uxÇ¢G7-íðeðë¼>þ‹:¼g¦Õùf´ƒŸçGŸ7þK;Ú 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åé§ã‚¨ãƒ³ã‚¸ãƒ³ã¯ç‹¬ç«‹ã—ãŸå®šç†è¨¼æ˜Žã‚·ã‚¹ãƒ†ãƒ ã¨ã—ã¦åˆ©ç”¨ã™ã‚‹äº‹ãŒå¯èƒ½ã§ã‚ã‚‹. ã“れを用ã„る事ã«ã‚ˆã£ã¦, 利用者ã¯CafeOBJã§è¨˜è¿°ã•ã‚ŒãŸä»•æ§˜ã«å¯¾ã— ã¦ã•ã¾ã–ã¾ãªæ¤œæŸ»ã‚’簡便ã«å®Ÿè¡Œã™ã‚‹ã“ã¨ãŒå‡ºæ¥ã‚‹. åé§ã‚¨ãƒ³ã‚¸ãƒ³è‡ªä½“ã¯, æ—¢ã«è‰¯ã知られãŸè‡ªå‹•å®šç†è¨¼æ˜Žå™¨ \textsc{Otter}~\cite{otter}ã‚’å‚考ã«ã—ã¦ãã®æ©Ÿèƒ½ãŒè¨­è¨ˆã•ã‚ŒãŸ. エンジンã®ä¸­æ ¸éƒ¨åˆ†ã®æ©Ÿèƒ½ã¯åŸºæœ¬çš„ã«\textsc{Otter} ã®ã‚µãƒ–セット㨠ãªã£ã¦ãŠã‚Šï¼Œå¾“æ¥ã®CafeOBJã®æž çµ„ã¿ã§è¨˜è¿°ã•ã‚ŒãŸä»•æ§˜ã«å¯¾ã—ã¦ä½•ã®å¤‰æ›´ã‚‚加 ãˆã‚‹ã“ã¨ãªã—ã«å®šç†è¨¼æ˜ŽãŒè¡Œãˆã‚‹ã‚ˆã†ã«å®Ÿç¾ã•ã‚Œã¦ã„ã‚‹. % 以上述ã¹ãŸäº‹æŸ„ã‚’å映ã—, PigNose ã¯æ¬¡ã®3ã¤ã®ã‚µãƒ–システムã‹ã‚‰æ§‹æˆã•ã‚Œã¦ã„ % る： % \begin{enumerate} % \item åé§ã‚¨ãƒ³ã‚¸ãƒ³ % \item 詳細化検証システム % \item モデル検査システム % \end{enumerate} % 詳細化検証/モデル検査å„システムを使用ã™ã‚‹éš›, åé§ã‚¨ãƒ³ã‚¸ãƒ³ã«é–¢ã—ã¦ã®ç†è§£ % ãŒå¿…è¦ã§ã‚ã‚‹. 以下ã§ã¯æœ€åˆã«åé§ã‚¨ãƒ³ã‚¸ãƒ³ã«ã¤ã„ã¦èª¬æ˜Žã—， ã¤ã„ã§è©³ç´°åŒ–検証ãŠã‚ˆã³ãƒ¢ãƒ‡ãƒ«æ¤œæŸ»ã¨ã„ã£ãŸç›®çš„ã«ç‰¹åŒ–ã•ã‚ŒãŸ å„システムã®ä½¿ç”¨æ–¹æ³•ã‚’説明ã™ã‚‹. %%% Local Variables: %%% mode: latex %%% TeX-master: t %%% End: cafeobj-1.5.4/doc/PigNose/part2.tex0000644000000000000000000004667012415124723015511 0ustar rootroot\chapter{インストール/起動方法} \section{システムè¦ä»¶} \label{sec:system-req} \subsection{プラットフォーム} \label{sec:platform} 2010å¹´ç¾åœ¨ã¯æ¬¡ç« ã§è¿°ã¹ã‚‹ã‚ˆã†ã«ãƒã‚¤ãƒŠãƒªé…布ãŒä¸»ä½“ã¨ãªã£ã¦ãŠã‚Šï¼Œ 特別ãªäº‹æƒ…ãŒç„¡ã„é™ã‚Šåˆ©ç”¨è€…ãŒCommon Lisp処ç†ç³»ã‚’入手ã—ã¦ã‚¤ãƒ³ã‚¹ãƒˆãƒ¼ãƒ«ã™ ã‚‹å¿…è¦ã¯ãªããªã£ã¦ã„る． 以下ã®ãƒ—ラットフォームã®ã‚‚ã®ãŒæä¾›ã•ã‚Œã¦ã„ã‚‹: \begin{enumerate} \item i386 Linux \item i386 MacOSX \item win32 \end{enumerate} 上記以外ã®ãƒ—ラットフォームã§ã®åˆ©ç”¨ãŒå¿…è¦ãªå ´åˆã¯ã‚½ãƒ¼ã‚¹ã‚³ãƒ¼ãƒ‰ã‚’ 入手ã—ã¦ã‚¤ãƒ³ã‚¹ãƒˆãƒ¼ãƒ«ã™ã‚‹å¿…è¦ãŒã‚る． PigNoseã¯åŸºæœ¬çš„ã«Common Lisp処ç†ç³»ãŒç¨¼åƒã™ã‚‹ç’°å¢ƒã§ã‚ã‚Œã°å‹•ä½œã™ã‚‹. ã“ã‚Œã¯, SRA版CafeOBJインタプリタãŒCommon Lisp言語ã§è¨˜è¿°ã•ã‚Œã¦ã„ã‚‹ã“ ã¨ã«ã‚ˆã‚‹ãŒ, CafeOBJインタプリタã¯ãƒ—ラットフォームOSã¨ã®ã‚¤ãƒ³ã‚¿ãƒ•ã‚§ãƒ¼ã‚¹ 部分ã«å‡¦ç†ç³»ä¾å­˜ã®ã‚³ãƒ¼ãƒ‰ãŒå«ã¾ã‚Œã¦ã„ã‚‹ãŸã‚, ã©ã®ã‚ˆã†ãªCommon Lisp処 ç†ç³»ã§ã‚‚動作ã™ã‚‹ã¨ã¯è¨€ãˆãªã„ã®ãŒç¾çŠ¶ã§ã‚ã‚‹. éŽåŽ»2005å¹´ã®æ™‚点ã§ã¯, 以下ã®å‡¦ç†ç³»ã§ã®å‹•ä½œãŒç¢ºèªã•ã‚Œã¦ã„ãŸ(表~\ref{tab:platform}ã«æŽ² ã’ãŸç¨¼åƒãƒ—ラットフォームã¯å®Œå…¨ãªãƒªã‚¹ãƒˆã§ã¯ãªã„. 詳細ã«ã¤ã„ã¦ã¯å„々ã®å‡¦ç† ç³»ã®ãƒ‰ã‚­ãƒ¥ãƒ¡ãƒ³ãƒˆã‚’å‚ç…§ã•ã‚ŒãŸã„). ãŸã ã—ç¾åœ¨ã¯Allegro Common Lisp(ver.8.0 以é™)上ã§ã®é–‹ç™ºã«ç‰¹åŒ–ã•ã‚Œã¦ ãŠã‚Šï¼Œãれ以外ã®å‡¦ç†ç³»ã§å•é¡Œãªãインストールã§ãã‚‹ã‹å¦ã‹ã¯æ¤œè¨¼ã§ã㦠ã„ãªã„． \begin{table}[htbp] \begin{center} \begin{tabular}{|l|l|}\hline Common Lisp 処ç†ç³» & 稼åƒãƒ—ラットフォーム\\\hline\hline GCL(version 2.3以上) & i386 Linux, BSD \\ & Sun Sparc, Sun OS 5(gcc) \\\hline Allegro Common Lisp (ver5.0以上) & Linux \\ & Windows95/98/2k? \\\hline CMU CommonLisp & Sparc Slaris \\ & i386 Linux \\\hline CLISP & i386 Linux \\\hline \end{tabular} \caption{{CafeOBJ インタプリタã®ç¨¼åƒç’°å¢ƒ}} \label{tab:platform} \end{center} \end{table} 上記ãŠã‚ˆã³ãれ例外㮠Common Lisp 処ç†ç³»ã«ã¤ã„ã¦ã®æƒ…å ±ã¯, \textbf{The Association of Lisp Users} ã®ãƒ›ãƒ¼ãƒ ãƒšãƒ¼ã‚¸\url{http://www.lisp.org} ã‹ã‚‰ã®ãƒªãƒ³ã‚¯ã‚’ãŸã©ã‚‹äº‹ã§, 容易ã«å…¥æ‰‹ã§ãã‚‹. % 2010å¹´ç¾åœ¨ã®ã§ã¯ãƒã‚¤ãƒŠãƒªé…布ãŒä¸»ä½“ã¨ãªã£ã¦ãŠã‚Šï¼Œ % 入手方法ã«ã¤ã„ã¦ã¯ç¬¬~\ref{sec:distribution}ç« ã§è¿°ã¹ã‚‹ï¼Ž % \subsection{システムリソース} % インストールãŠã‚ˆã³å®Ÿè¡Œã«ã‚ãŸã£ã¦ã¯, ベースã¨ã™ã‚‹ Common Lisp 処ç†ç³»ã«ä¾ % å­˜ã—ã¦ä½¿ç”¨ã™ã‚‹ãƒ‡ã‚£ã‚¹ã‚¯é ˜åŸŸã‚„実メモリã®å¿…è¦é‡ãŒç•°ãªã‚‹. % 一般的ã«å®Ÿãƒ¡ãƒ¢ãƒªã¯1G Byte以上ã§ã‚ã‚‹ã“ã¨ãŒæœ›ã¾ã—ã„. é…布物件ã¯ã‚½ãƒ¼ã‚¹ã‚³ãƒ¼ % ドベースã§ã‚ã‚‹ãŒ, ã“れ㯠UNIX TAR å½¢å¼ã®ã‚¢ãƒ¼ã‚«ã‚¤ãƒ–ファイルを gzip ã§å›ºã‚ % ãŸå½¢å¼ã§ã‚ã‚Š, ã“ã®ã‚µã‚¤ã‚ºã¯700K ãƒã‚¤ãƒˆç¨‹åº¦ã§ã‚ã‚‹. ã“れを展開ã™ã‚‹ã¨, ç´„ % 3.8Mbyte ã®ãƒ‡ã‚£ã‚¹ã‚¯é ˜åŸŸã‚’使用ã™ã‚‹. インストールã«éš›ã—ã¦ã¯, ã©ã® Common % Lisp 処ç†ç³»ã‚’使用ã™ã‚‹ã‹ã«ã‚ˆã£ã¦ä½¿ã‚れるディスク容é‡ãŒå¤§ããç•°ãªã‚‹ãŒ, ç´„ % 20Mbyte 程度ã®ç©ºã領域ãŒç¢ºä¿ã•ã‚Œã¦ã„ã‚‹ã“ã¨ãŒæœ›ã¾ã—ã„. \section{インストール方法} \subsection{é…布形å¼} \label{sec:distribution} CafeOBJインタプリタã¯éŽåŽ»ã«ã‚·ã‚¹ãƒ†ãƒ ã¯ã‚½ãƒ¼ã‚¹ã¨ãƒã‚¤ãƒŠãƒªä¸¡å½¢å¼ã§é…布ã•ã‚Œ ã¦ã„ãŸãŒï¼Œç¾åœ¨ã¯ãƒã‚¤ãƒŠãƒªå½¢å¼ã«ã‚ˆã‚‹é…布ãŒä¸­å¿ƒã§ã‚ã‚‹\footnote{% ソースコードもé…布ã•ã‚Œã¦ã„ã‚‹ãŒï¼Œãƒãƒ¼ã‚¸ãƒ§ãƒ³ãŒå¤ã„ã‚‚ã®ã®ã¿ã§ã‚る． 今後ã¯ãƒã‚¤ãƒŠãƒªã«åŒæœŸã—ã¦é…布ã™ã‚‹äºˆå®šã§ã‚る．} å…ˆã«è¿°ã¹ãŸã¨ãŠã‚Šï¼Œãƒã‚¤ãƒŠãƒªå½¢å¼ã¯i386Linux，i386 MacOSX, 㨠Windows(win32)ã®3ã¤ã®ãƒ—ラットフォームã®ã¿ã§ã‚ã‚‹. ç¾åœ¨é…布ã•ã‚Œã¦ã„ã‚‹CafeOBJインタプリタ(ver.1.4.6以é™)ã¯PigNoseæ‹¡å¼µã‚’å« ã‚“ã§ã„ã‚‹ãŸã‚ãれを入手ã™ã‚Œã°è‰¯ã„． インタプリタã¯CafeOBJã®å…¬å¼ãƒ›ãƒ¼ãƒ ãƒšãƒ¼ã‚¸ \begin{quote} \url{http://www.ldl.jaist.ac.jp/cafeobj/} \end{quote} ã‹ã‚‰ãƒ€ã‚¦ãƒ³ãƒ­ãƒ¼ãƒ‰å‡ºæ¥ã‚‹ï¼Ž ソース形å¼ã¯ Unix ã®ãƒ†ãƒ¼ãƒ—アーカイブ形å¼(TAR)ファイルを gzip ã«ã‚ˆã£ã¦å›º ã‚ãŸã‚‚ã®ã§ã‚ã‚‹. ã“ã‚Œã«ã¯ CafeOBJ インタプリタ自体ã®ã‚½ãƒ¼ã‚¹ã‚‚å«ã¾ã‚Œã¦ã„ る．上記ã®ã‚µã‚¤ãƒˆã‹ã‚‰åŒæ§˜ã«ãƒ€ã‚¦ãƒ³ãƒ­ãƒ¼ãƒ‰å¯èƒ½ã§ã‚ã‚‹. % \begin{simplev} % ftp://ftp.sra.co.jp/pub/lang/CafeOBJ/cafeobj/* % \end{simplev} % ソースé…付ã®ãƒ•ã‚¡ã‚¤ãƒ«ã¯ % \begin{simplev} % cafeobj-XXX.tar.gz % \end{simplev} % ã¨ã„ã†åå‰ã§ã‚ã‚Š, ã“ã“ã§, \verb+XXXX+ ã¯ãƒãƒ¼ã‚¸ãƒ§ãƒ³ç•ªå·ã§ã‚ã‚‹. % 20001å¹´6月ç¾åœ¨ã®æœ€æ–°ãƒãƒ¼ã‚¸ãƒ§ãƒ³ç•ªå·ã¯ \verb+1.4.5+ ã§ã‚ã‚Š, ã—ãŸãŒã£ã¦ % 上記ã®ãƒ•ã‚¡ã‚¤ãƒ«å㯠% \begin{verbatim} % cafeobj-1.4.5.tar.gz % \end{verbatim} % ã§ã‚ã‚‹. % ãƒã‚¤ãƒŠãƒªå½¢å¼ã®å ´åˆã¯ % \begin{simplev} % cafeobj-XXX-i386linux.tar.gz --- i386 Linux 用 % cafeobj-XXX-win.zip --- windows 用 % \end{simplev} % ã¨ãªã‚‹. Windows ã®å ´åˆã¯ zip ã§å›ºã‚ãŸã‚‚ã®ã¨ãªã‚‹. \subsection{ソースã‹ã‚‰ã®ã‚¤ãƒ³ã‚¹ãƒˆãƒ¼ãƒ«æ–¹æ³•} 以é™ã§ã¯ã‚½ãƒ¼ã‚¹é…布ã®ãƒ•ã‚¡ã‚¤ãƒ«ã‚’å˜ã«\textbf{ディストリビューショ ン}ã¨å‘¼ã¶. ã“れを展開ã™ã‚‹ã¨ã‚¤ãƒ³ã‚¹ãƒˆãƒ¼ãƒ«ã«å¿…è¦ãªã‚½ãƒ¼ã‚¹ãƒ•ã‚¡ã‚¤ãƒ«ã‚„ライ ブラリ等を格ç´ã—ãŸãƒ‡ã‚£ãƒ¬ã‚¯ãƒˆãƒªãŒç”Ÿæˆã•ã‚Œã‚‹ï¼Ž 例ãˆã° Unix 上ã§ã¯æ¬¡ã®ã‚ˆã†ã«ã—ã¦å±•é–‹ã™ã‚‹ï¼š \begin{vvtm} \begin{examplev} % gunzip -c cafeobj-1.4.6.tar.gz | tar xvf - \end{examplev} \end{vvtm} ã“ã®ä¾‹ã®å ´åˆã¯\verb|cafeobj-1.4.6|ã¨ã„ã†åå‰ã®ãƒ‡ã‚£ãƒ¬ã‚¯ãƒˆãƒªãŒ 生æˆã•ã‚Œã‚‹ã¯ãšã§ã‚る． 以下展開ã—ã¦ä½œæˆã•ã‚ŒãŸãƒ‡ã‚£ãƒ¬ã‚¯ãƒˆãƒªã®ä¸‹ã§ã‚¤ãƒ³ã‚¹ãƒˆãƒ¼ãƒ«ä½œæ¥­ã‚’ 実行ã™ã‚‹äº‹ã¨ãªã‚‹. \subsubsection{Unix/Linux 上ã§ã®ã‚¤ãƒ³ã‚¹ãƒˆãƒ¼ãƒ«æ–¹æ³•} \paragraph{(A) Allegro Common Lispã®å ´åˆ} 使用ã™ã‚‹Common Lisp処ç†ç³»ãŒ Allegro Common Lisp(ACL --- ver.8 以é™)ã®å ´åˆã«ã¯ã‚½ãƒ¼ã‚¹ã‚³ãƒ¼ãƒ‰ã‹ã‚‰ã®ã‚¤ ンストールãŒéžå¸¸ã«æ¥½ã§ã‚る．次ã®ã‚ˆã†ã«è¡Œã†ï¼Ž \begin{enumerate} \item ソースを展開ã—ãŸãƒ‡ã‚£ãƒ¬ã‚¯ãƒˆãƒªã¸ç§»å‹•ã™ã‚‹ï¼Ž \begin{vvtm} \begin{examplev} % cd cafeobj-1.4.6 \end{examplev} \end{vvtm} \item Allegro Common Lisp ã‚’èµ·å‹•ã™ã‚‹ï¼Ž \begin{vvtm} \begin{examplev} % alisp \end{examplev} \end{vvtm} \item ACLã¸ä»¥ä¸‹ã‚’入力ã™ã‚‹(\texttt{CL-USER(1):}ã¯ACLã®ãƒ—ロンプトã§ã‚ã‚‹)． \begin{vvtm} \begin{examplev} CL-USER(1): :ld make-deliv.cl \end{examplev} \end{vvtm} ã“ã‚Œã«ã‚ˆã£ã¦ã‚½ãƒ¼ã‚¹ã‚³ãƒ¼ãƒ‰ã‹ã‚‰ã®ã‚·ã‚¹ãƒ†ãƒ ã®æ§‹ç¯‰ãŒé–‹å§‹ã•ã‚Œã‚‹ï¼Ž ã“ã‚ŒãŒçµ‚了ã—ãŸã‚‰\texttt{dist}ã¨ã„ã†ãƒ‡ã‚£ãƒ¬ã‚¯ãƒˆãƒªã®ä¸‹ã«CafeOBJ インタプリタãŒæ§‹ç¯‰ã•ã‚Œã¦ã„ã‚‹ã¯ãšã§ã‚る． \item \texttt{dist} ã¸ç§»å‹•ã™ã‚‹ï¼Ž \begin{vvtm} \begin{examplev} % cd dist \end{examplev} \end{vvtm} ãã“ã«ã¯cafeobj-1.4ã¨ã„ã†åå‰ã®ãƒ‡ã‚£ãƒ¬ã‚¯ãƒˆãƒªãŒã‚る． ã“ã“以下ã«ã‚¤ãƒ³ã‚¿ãƒ—リタ本体åŠã³å®Ÿè¡Œæ™‚ã«å¿…è¦ã¨ãªã‚‹ãƒ©ã‚¤ãƒ–ラリãªã©ãŒ æ ¼ç´ã•ã‚Œã¦ã„る． \item å¿…è¦ã«å¿œã˜ã¦ \texttt{cafeobj-1.4} ã‚’é©å½“ãªãƒ‡ã‚£ãƒ¬ã‚¯ãƒˆãƒªã«ç§»å‹•ã‚‚ã— ãã¯ã‚³ãƒ”ーã™ã‚‹ï¼Ž \begin{vvtm} \begin{examplev} % tar cf - ./cafeobj-1.4 | tar xvf - -C /usr/local \end{examplev} \end{vvtm} 上ã®ä¾‹ã§ã¯ã‚¤ãƒ³ã‚¿ãƒ—リタを\texttt{/usr/local}ã®ä¸‹ã«tarコマンドを 使用ã—ã¦ã‚³ãƒ”ーã—ãŸ(ã„ã‚ã„ã‚ãªäº‹æƒ…ã«ã‚ˆã‚Šã‚³ãƒ”ーを行ã†å ´åˆã¯ \texttt{cp} コマンドã¯é¿ã‘ãŸã»ã†ãŒè‰¯ã„)． コピーや移動先ã«æ›¸ã込む権é™ãŒãªã„å ´åˆã¯ï¼Œ\texttt{sudo} コマンドを 用ã„ã‚‹ã‹ï¼Œãれを使ã†æ¨©é™ã‚‚ç„¡ã„å ´åˆã¯ï¼Œæ¨©é™ã‚’æŒã£ã¦ã„るユーザã«ä¾é ¼ã™ã‚‹ï¼Ž インストール先ã¯ä»»æ„ã§è‰¯ã„ã®ã§ç‰¹ã«ç§»å‹•ã™ã‚‹å¿…è¦ã¯ç„¡ã„． \item インタプリタã®å®Ÿè¡Œã‚³ãƒžãƒ³ãƒ‰ã¯\texttt{cafeobj-1.4/bin/cafeobj}ã§ã‚る． ã“れを\texttt{PATH}ãŒé€šã£ã¦ã„るディレクトリã«ã‚³ãƒ”ーもã—ãã¯ç§»å‹•ï¼Œ ã‚ã‚‹ã„ã¯ã“ã®ãƒ•ã‚¡ã‚¤ãƒ«ã«ã‚·ãƒ³ãƒœãƒªãƒƒã‚¯ãƒªãƒ³ã‚¯ã‚’貼る． \begin{vvtm} \begin{examplev} % cd /usr/local/bin % ln -s /usr/local/cafeobj-1.4/bin/cafeobj . \end{examplev} \end{vvtm} 上ã®ä¾‹ã§ã¯\texttt{/usr/local/bin}ã«ï¼Œå®Ÿè¡Œã‚³ãƒžãƒ³ã¸ã®ã‚·ãƒ³ãƒœãƒªãƒƒã‚¯ リンクを張ã£ãŸï¼Ž \item \texttt{cafeobj-1.4}ã‚’\texttt{/usr/local/}ã¸ã‚¤ãƒ³ã‚¹ãƒˆãƒ¼ãƒ«ã—ãŸå ´åˆã¯ã“ ã‚Œã§çµ‚了ã§ã‚る． ãれ以外ã®å ´æ‰€ã¸ã‚¤ãƒ³ã‚¹ãƒˆãƒ¼ãƒ«ã—ãŸå ´åˆã¯ã‚¤ãƒ³ã‚¿ãƒ—リタ本体ã®å ´æ‰€ã‚’ 設定ã™ã‚‹å¿…è¦ãŒã‚る．ã“ã‚Œã«ã¯æ¬¡ã®2ã¤ã®æ–¹æ³•ãŒã‚ã‚‹: \begin{enumerate} \item \texttt{cafeobj}コマンドを修正ã™ã‚‹æ–¹æ³•ï¼Ž \texttt{cafeobj}コマンドã¯shellスクリプトã§ã‚る．ã“ã®ä¸­èº«ã¯ 次ã®ã‚ˆã†ã«ãªã£ã¦ã„る． \begin{vvtm} \begin{simplev} exec ${CAFEROOT:-"/usr/local/cafeobj-1.4"}/lisp/CafeOBJ -- $* \end{simplev} \end{vvtm} ã“ã® \texttt{"/usr/local/cafeobj-1.4"}ã®éƒ¨åˆ†ã‚’インストール先㮠ディレクトリåã«ä¿®æ­£ã™ã‚Œã°ã‚ˆã„．例ãˆã°ã‚¤ãƒ³ã‚¹ãƒˆãƒ¼ãƒ«å…ˆãƒ‡ã‚£ãƒ¬ã‚¯ãƒˆãƒªãŒ \texttt{"/opt"}ã§ã‚ã‚Œã°ï¼Œä¸Šè¨˜ã‚’ \begin{vvtm} \begin{simplev} exec ${CAFEROOT:-"/opt/cafeobj-1.4"}/lisp/CafeOBJ -- $* \end{simplev} \end{vvtm} ã®ã‚ˆã†ã«ä¿®æ­£ã™ã‚Œã°ã‚ˆã„． \item 上ã®\texttt{cafeobj}コマンドã®ä¸­èº«ã‚’見ã¦ã‚ã‹ã‚‹é€šã‚Šï¼Œ 環境変数\texttt{CAFEROOT}ãŒè¨­å®šã•ã‚Œã¦ã„ã‚Œã°ãれをインストール先 ディレクトリåã¨ã—ã¦æŽ¡ç”¨ã™ã‚‹ï¼Žä¾‹ãˆã°ä½¿ç”¨ã—ã¦ã„ã‚‹shell㌠bashã®å ´åˆã¯ \begin{vvtm} \begin{simplev} export CAFEROOT=/opt/cafeobj-1.4 \end{simplev} \end{vvtm} ã®ã‚ˆã†ãªè¨˜è¿°ã‚’\texttt{.bashrc}ãªã©ã«è¨˜è¼‰ã—ã¦ãŠã‘ã°ã‚ˆã„． \end{enumerate} \end{enumerate} \paragraph{(B) ãã®ä»–ã®Common Lisp処ç†ç³»ã®å ´åˆ} Allegro Common Lisp以外ã®å‡¦ç†ç³»ã§ã‚½ãƒ¼ã‚¹ã‚³ãƒ¼ãƒ‰ã‹ã‚‰ã‚¤ãƒ³ã‚¹ãƒˆãƒ¼ãƒ« ã™ã‚‹å ´åˆã¯ä»¥ä¸‹ã®æ‰‹ç¶šãã«å¾“ã†\footnote{% ç¾åœ¨ã“ã“ã§è¨˜è¼‰ã—ãŸé€šã‚Šã«ã§ãã‚‹ã‹ã©ã†ã‹ã¯æ¤œè¨¼ã•ã‚Œã¦ã„ãªã„． ã‚‚ã—ã“ã®ã¨ãŠã‚Šå®Ÿè¡Œã—ã¦ã†ã¾ãã„ã‹ãªã„å ´åˆã¯ã”一報ã„ãŸã ã‘る㨠幸ã„ã§ã‚る．ã¤ã„ã§ã«è§£æ±ºæ–¹æ³•ã‚‚知らã›ã¦ã„ãŸã ã‘ã‚Œã°ãªãŠã‚ã‚ŠãŒãŸã„． }． Unix (Linux) 上ã§ã®ã‚¤ãƒ³ã‚¹ãƒˆãƒ¼ãƒ«ã¯ä»¥ä¸‹ã®ã‚ˆã†ã«è¡Œã†. \begin{enumerate} \item ディストリビューションを展開ã—ãŸãƒ‡ã‚£ãƒ¬ã‚¯ãƒˆãƒªã¸ç§»å‹•ã™ã‚‹. \begin{vvtm} \begin{examplev} % cd cafeobj-1.4.6 \end{examplev} \end{vvtm} \item 使用ã™ã‚‹ Common Lisp 処ç†ç³»ã‚„, インストール先ã®ãƒ‡ã‚£ãƒ¬ã‚¯ãƒˆãƒªã® 設定を行ã†. ã“ã‚Œã«ã¯ãƒ‡ã‚£ã‚¹ãƒˆãƒªãƒ“ューションã«å«ã¾ã‚Œã¦ã„ã‚‹ \texttt{configure} コマンドを次ã®ã‚ˆã†ã«ã—ã¦èµ·å‹•ã™ã‚‹ã“ã¨ã«ã‚ˆã£ã¦è¡Œã†: \begin{vvtm} \begin{simplev} % ./configure [--with-lisp=] \ [--prefix=<インストール先>] \end{simplev} \end{vvtm} ã“ã“ã§, $<$Lisp処ç†ç³»æŒ‡å®š$>$ ã¯ãƒ™ãƒ¼ã‚¹ã¨ã—ã¦ä½¿ç”¨ã™ã‚‹ Common Lisp 処ç†ç³» ã®æŒ‡å®šã§ã‚ã‚Š, 以下ã®ã‚‚ã®ã®ä¸­ã‹ã‚‰æŒ‡å®šã™ã‚‹ï¼š \begin{enumerate} \item[(1)]\texttt{gcl} --- GCL \item[(2)]\texttt{acl} --- Allegro Common Lisp (ver 5.01 以下) \item[(3)]\texttt{acl6} --- Allegro Common Lisp (ver 6.x) \item[(4)]\texttt{acl7} --- Allegro Common Lisp (ver 7.x) \item[(5)]\texttt{acl8} --- Allegro Common Lisp (ver 8.x) \item[(4)]\texttt{cmu-sparc} -- CMU Common Lisp, Sparc Sun OS \item[(5)]\texttt{cmu-pc} --- CMU Common Lisp, i386 マシン \item[(6)]\texttt{clisp} --- CLISP \end{enumerate} 特ã«æŒ‡å®šã‚’è¡Œã‚ãªã‘れ㰠gcl ãŒãƒ‡ãƒ•ã‚©ãƒ«ãƒˆã§é¸æŠžã•ã‚Œã‚‹. $<$インストール先$>$ ã¯, システムをインストールã™ã‚‹ãƒ‡ã‚£ãƒ¬ã‚¯ãƒˆãƒªã® パスåを指定ã™ã‚‹ã‚‚ã®ã§ã‚ã‚‹. 特ã«æŒ‡å®šãŒç„¡ã‘ã‚Œã°, デフォルト㧠\texttt{/usr/local} ãŒã‚¤ãƒ³ã‚¹ãƒˆãƒ¼ãƒ«å…ˆã¨ãªã‚‹. 例ãˆã°, 下ã«ç¤ºã™ä¾‹ã§ã¯ Lisp 処ç†ç³»ã¨ã—㦠Allegro CL(ver8.x) ã‚’ 指定ã—, インストール先ã¯æ—¢å®šå€¤(\texttt{/usr/local})ã¨ã—ã¦æ§‹æˆã—ã¦ã„ã‚‹. \begin{vvtm} \begin{examplev} % ./configure --with-lisp=acl8 \end{examplev} \end{vvtm} \item make コマンドã«ã‚ˆã£ã¦, システムã®æ§‹ç¯‰/インストールを行ã†. \begin{vvtm} \begin{examplev} % make bigpink % make install-bigpink \end{examplev} \end{vvtm} 最åˆã® make コマンドã®ç™ºåŠ¹ã«ã‚ˆã£ã¦, システムã®ã‚³ãƒ³ãƒ‘イル㌠行ã‚ã‚Œ, 次㮠make コマンドã®ç™ºåŠ¹ã«ã‚ˆã£ã¦, システムãŒæŒ‡å®šã® ディレクトリã«ã‚¤ãƒ³ã‚¹ãƒˆãƒ¼ãƒ«ã•ã‚Œã‚‹. \end{enumerate} \subsubsection{Windows 上ã§ã®ã‚¤ãƒ³ã‚¹ãƒˆãƒ¼ãƒ«æ–¹æ³•} 使用ã™ã‚‹Common Lisp処ç†ç³»ãŒAllegro Common Lisp(ver.8.x)ã®å ´åˆã¯ 上ã§è¨˜è¼‰ã—ãŸUnix上ã§ã®ã‚¤ãƒ³ã‚¹ãƒˆãƒ¼ãƒ«æ–¹æ³•ã¨åŒæ§˜ã§ã‚る． ãれ以外ã®Common Lisp処ç†ç³»ã«ã¤ã„ã¦ã¯ã‚½ãƒ¼ã‚¹ã‹ã‚‰ã‚¤ãƒ³ã‚¹ãƒˆãƒ¼ãƒ«ã‚’ è¡Œã†ä¸Šã§ä¸€èˆ¬çš„ãªæž çµ„ã¿ãŒç”¨æ„ã•ã‚Œã¦ã„ãªã„ã®ãŒç¾çŠ¶ã§ã‚る． % ç¾åœ¨ã®æ‰€, Windows95/98 上㮠CafeOBJ インタプリタã¯, % Allegro Common Lisp (ver 5.0 以上) -- ACL -- を仮定ã—ãŸã‚¤ãƒ³ã‚¹ãƒˆãƒ¼ãƒ«æ‰‹é †ãŒ % 用æ„ã•ã‚Œã¦ã„ã‚‹. 自動的ãªã‚¤ãƒ³ã‚¹ãƒˆãƒ¼ãƒ«ã¯è¡Œã‚ã‚Œãªã„ã®ã§å…¨ã¦æ‰‹å‹•ã§è¡Œã†å¿…è¦ãŒ % ã‚ã‚‹. % 手順ã¯ä»¥ä¸‹ã®é€šã‚Šã§ã‚る： % \begin{enumerate} % \item ファイル ``win/win-site-specific.lisp'' ã‚’å¿…è¦ã«å¿œã˜ã¦ç·¨é›†ã™ã‚‹ï¼š\\ % \verb:*cafeobj-install-dir*: ã¨ã„ã†å¤§åŸŸå¤‰æ•°ãŒå®šç¾©ã•ã‚Œã¦ã„ã‚‹ã®ã§ % ã“れを CafeOBJ インタプリタ本体をãŠãディレクトリã«è¨­å®šã™ã‚‹. % デフォルトã¯, \verb|c:\\cafeobj| ã§ã‚ã‚‹. % \item 上㮠\verb:*cafeobj-install-dir*: ã«è¨­å®šã•ã‚ŒãŸãƒ‡ã‚£ãƒ¬ã‚¯ãƒˆãƒªã®ä¸‹ã« % 以下ã®ãƒ‡ã‚£ãƒ¬ã‚¯ãƒˆãƒªã‚’作æˆã—, 指定ã®ãƒ•ã‚¡ã‚¤ãƒ«ã‚’ディストリビューションã‹ã‚‰ % コピーã™ã‚‹. % \begin{description} % \item[bin] : CafeOBJ インタプリタã®æœ¬ä½“ã‚’ç½®ã場所ã§ã‚ã‚‹. % \item[exs] : サンプルモジュールファイルを置ã場所ã§ã‚ã‚‹. % ã“ã“ã«, ディストリビューション㮠ディレクトリ exs ã®ä¸‹ã«ã‚ã‚‹ % å…¨ã¦ã®ãƒ•ã‚¡ã‚¤ãƒ«ã‚’コピーã™ã‚‹. % \item[lib] : ディストリビューションã®ãƒ‡ã‚£ãƒ¬ã‚¯ãƒˆãƒª lib/lib ã®ä¸‹ã«ã‚ã‚‹ % fopl.mod ã‚’ã“ã®ä¸‹ã«ã‚³ãƒ”ーã™ã‚‹. % \item[prelude] : ディストリビューションã®ãƒ‡ã‚£ãƒ¬ã‚¯ãƒˆãƒª lib/prelude ã®ä¸‹ % ã«ã‚ã‚‹å…¨ã¦ã®ãƒ•ã‚¡ã‚¤ãƒ«, site-init.mod, std.bin, std.mod ã‚’ã“ã®ä¸‹ã«ã‚³ãƒ”ー % ã™ã‚‹. % \end{description} % \item ACL ã‚’èµ·å‹•ã™ã‚‹. % \item ACL インタプリタã®ãƒˆãƒƒãƒ—レベルコマンド \texttt{:cd} を用ã„㦠% ディストリビューションを展開ã—ãŸãƒ‡ã‚£ãƒ¬ã‚¯ãƒˆãƒªã«ç§»å‹•ã™ã‚‹ï¼š % \item ファイル ``make-cafeobj.lisp'' をロードã™ã‚‹. % \item ã“ã‚Œã«ã‚ˆã£ã¦ãƒ‡ã‚£ãƒ¬ã‚¯ãƒˆãƒª xbin ã®ä¸‹ã« cafeobj.dxl ã¨ã„ã†ãƒ•ã‚¡ã‚¤ãƒ«ãŒ % 作æˆã•ã‚Œã‚‹. ã“れを上ã§ä½œæˆã—ãŸãƒ‡ã‚£ãƒ¬ã‚¯ãƒˆãƒª bin ã®ä¸‹ã«ç§»å‹•ã™ã‚‹. % \end{enumerate} \subsection{ãƒã‚¤ãƒŠãƒªé…付ã®ã‚¤ãƒ³ã‚¹ãƒˆãƒ¼ãƒ«æ–¹æ³•} ãƒã‚¤ãƒŠãƒªé…付ã®å ´åˆ, インストールã•ã‚Œã‚‹ã‚¤ãƒ³ã‚¿ãƒ—リタã¯ã‚¹ã‚¿ãƒ³ãƒ‰ã‚¢ãƒ­ãƒ¼ãƒ³, ã¤ã¾ã‚Šå®Ÿè¡Œæ™‚ã« Common Lisp 処ç†ç³»ã‚’å¿…è¦ã¨ã—ãªã„. \emph{TODO} \subsubsection{i386 Linux} \subsubsection{Windows} \subsection{何ãŒã‚¤ãƒ³ã‚¹ãƒˆãƒ¼ãƒ«ã•ã‚Œã‚‹ã‹} インストール先㌠\emph{CAFEROOT} ã§ã‚ã£ãŸã¨ã™ã‚‹ã¨, 次㮠よã†ã«ãªã‚‹ï¼š \begin{itemize} \item \emph{CAFEROOT}/bin/cafeobj : 検証推論システムã®çµ„ã¿è¾¼ã¾ã‚ŒãŸ CafeOBJインタプリタã®èµ·å‹•ã‚³ãƒžãƒ³ãƒ‰ï¼Ž \item \emph{CAFEROOT}/cafeobj-1.4 : インタプリタã®ãƒ©ã‚¤ãƒ–ラリ等を格ç´ã™ã‚‹ãƒ‡ã‚£ レクトリ. ã“ã®ãƒ‡ã‚£ãƒ¬ã‚¯ãƒˆãƒªã®ä¸‹ã¯ä»¥ä¸‹ã®ã‚ˆã†ã«ãªã‚‹ \begin{itemize} \item exs : CafeOBJ ã®ä¾‹é¡Œãƒ¢ã‚¸ãƒ¥ãƒ¼ãƒ«ãƒ•ã‚¡ã‚¤ãƒ«ãŒæ ¼ç´ã•ã‚Œã‚‹ \item lib : 検証推論システムã®ãŸã‚ã«å¿…è¦ãªãƒ¢ã‚¸ãƒ¥ãƒ¼ãƒ«ãƒ•ã‚¡ã‚¤ãƒ« ``fopl.mod'' ãŒæ ¼ç´ã•ã‚Œã‚‹. \item bin : インタプリタã®æœ¬ä½“ãŒæ ¼ç´ã•ã‚Œã‚‹. \item prelude : CafeOBJ インタプリタã®åˆæœŸåŒ–ファイルã®æ ¼ç´å ´æ‰€. 以下ã®ãƒ•ã‚¡ã‚¤ãƒ«ãŒç½®ã‹ã‚Œã‚‹. \begin{itemize} \item std.bin : CafeOBJ インタプリタãŒå‹•ä½œã™ã‚‹ä¸Šã§å¿…è¦ã¨ãªã‚‹åˆæœŸè¨­ 定ファイル. \item site-init.mod : 利用者用ã®åˆæœŸåŒ–ファイル. \end{itemize} ã“れらã¯ã‚¤ãƒ³ã‚¿ãƒ—リタãŒèµ·å‹•ã™ã‚‹æ¯Žã«æœ€åˆã«èª­ã¾ã‚Œã‚‹. \end{itemize} \end{itemize} \section{起動方法} PigNose ãŒçµ„ã¿è¾¼ã¾ã‚ŒãŸ CafeOBJ インタプリタã®èµ·å‹•æ–¹æ³•ã¯, 通常㮠CafeOBJ インタプリタã¨å…¨ãåŒã˜ã§ã‚ã‚‹. 以下ã§ã¯ Unix/Linux ã®å ´åˆ, ãŠã‚ˆã³ Windowsã®ãã‚Œãžã‚Œã®å ´åˆã«ã¤ã„ã¦ç°¡å˜ã«èª¬æ˜Žã™ã‚‹. インタプリタã¨ã®å¯¾è©±æ–¹æ³•ã®è©³ç´°, ãŠã‚ˆã³ CafeOBJ 自体ã«ã¤ã„ã¦ã¯ CafeOBJ イ ンタプリタã®ãƒžãƒ‹ãƒ¥ã‚¢ãƒ« \cite{cafeobj}ã‚’å‚ç…§ã•ã‚ŒãŸã„. ã¾ãŸ CafeOBJ 言語㫠ã¤ã„ã¦ã¯ \cite{CafeRep}ã‚’å‚ç…§ã•ã‚ŒãŸã„. \paragraph{Unix/Linux 上ã®å ´åˆ} コマンド ``cafeobj'' ã«ã‚ˆã£ã¦ã‚¤ãƒ³ã‚¿ãƒ—リタãŒèµ·å‹•ã•ã‚Œã‚‹. Emacs ã‚ã‚‹ã„ã¯, XEmacs を使ã£ã¦ã„ã‚‹å ´åˆã¯, ディストリビューションã«ä»˜å±ž ã—ã¦ã„ã‚‹cafeobj-mode パッケージを用ã„ã¦ã‚¤ãƒ³ã‚¿ãƒ—リタã¨å¯¾è©±ã§ãã‚‹. 詳細㯠, ディストリビューション㮠elisp/cafeobj-mode.el ã‚’å‚ç…§ã•ã‚ŒãŸã„. \paragraph{Windows 上ã®å ´åˆ} ソースé…付ã‹ã‚‰ã‚¤ãƒ³ã‚¹ãƒˆãƒ¼ãƒ«ã—ãŸå ´åˆã¯, インストール手続ãã«ã‚ˆã£ã¦ 作æˆã•ã‚ŒãŸ cafeobj.dxl をダブルクリックã™ã‚‹ã“ã¨ã§, インタプリタãŒèµ·å‹•ã• れる. ãƒã‚¤ãƒŠãƒªé…付ã®å ´åˆã¯, 独立ã—ãŸã‚¢ãƒ—リケーションã¨ã—㦠CafeOBJ.exe ㌠インストールã•ã‚Œã‚‹ã®ã§, ã“れを起動ã™ã‚Œã°ã‚ˆã„. \subsection{fopl.mod ã®ãƒ­ãƒ¼ãƒ‰} \label{sec:fopl-loading} 検証推論システムãŒå‹•ä½œã™ã‚‹ãŸã‚ã«ã¯, ``fopl.mod'' ã¨ã„ã†ãƒ•ã‚¡ã‚¤ãƒ«ã‚’インタ プリタã«ãƒ­ãƒ¼ãƒ‰ã™ã‚‹å¿…è¦ãŒã‚ã‚‹. ã“ã®ãƒ•ã‚¡ã‚¤ãƒ«ã«ã¯PigNoseã®æ©Ÿèƒ½ã‚’使用ã™ã‚‹ ãŸã‚ã«å¿…è¦ã¨ãªã‚‹æ–°è¦ã®çµ„ã¿è¾¼ã¿ãƒ¢ã‚¸ãƒ¥ãƒ¼ãƒ«FOPL-CLAUSEã®å®šç¾©ã‚„, ãã®ä»–㮠環境設定ã®ãŸã‚ã®CafeOBJスクリプトãŒè¨˜è¿°ã•ã‚ŒãŸãƒ•ã‚¡ã‚¤ãƒ«ã§ã‚ã‚‹. CafeOBJã«ã¯è‡ªå‹•ãƒ­ãƒ¼ãƒ‰æ©Ÿæ§‹ãŒã‚ã‚Š, 組ã¿è¾¼ã¿ãƒ¢ã‚¸ãƒ¥ãƒ¼ãƒ«FOPL-CLAUSEãŒåˆã‚ ã¦å‚ç…§ã•ã‚ŒãŸæ™‚ã«è‡ªå‹•çš„ã«\texttt{fopl.mod}ãŒãƒ­ãƒ¼ãƒ‰ã•ã‚Œã‚‹ã‚ˆã†ã«äºˆã‚設定 ã•ã‚Œã¦ã„ã‚‹. ã“ã®ãŸã‚通常ã¯æ‰‹ã§\texttt{fopl.mod}をロードã™ã‚‹å¿…è¦ã¯ãªã„. ã‚らã‹ã˜ã‚ロードã—ã¦ãŠããŸã„å ´åˆã¯, インタプリタを起動ã—ãŸå¾Œã«, \begin{vvtm} \begin{examplev} CafeOBJ> require fopl \end{examplev} \end{vvtm} ã®ã‚ˆã†ã«ã—ã¦, require コマンドã«ã‚ˆã£ã¦ãƒ­ãƒ¼ãƒ‰ã§ãã‚‹. ã„ã¡ã„ã¡ã“れを入力ã™ã‚‹æ‰‹é–“ã‚’çœããŸã‚, システムåˆæœŸåŒ–ファイル (site-init.mod)ã«ä¸Šã®ã‚³ãƒžãƒ³ãƒ‰ã‚’ã„ã‚Œã¦ç½®ãã¨ä¾¿åˆ©ã§ã‚ã‚‹. Unix(Linux)上ã§åˆ©ç”¨ã™ã‚‹å ´åˆã¯, ホームディレクトリã®ç›´ä¸‹ã« \texttt{.cafeobj} 㨠ã„ã†åå‰ã®ãƒ•ã‚¡ã‚¤ãƒ«ãŒã‚ã‚‹ã¨ï¼ŒCafeOBJインタプリタã¯èµ·å‹•æ™‚ã«ã“れをåˆæœŸ 化ファイルã¨ã—ã¦æ›¸ã‹ã‚Œã¦ã„る内容を実行ã™ã‚‹. 上記㮠site-init.mod ã‚’ 用ã„ãšã«ã“ã®ãƒ•ã‚¡ã‚¤ãƒ«ã« ``require fopl'' ã‚’ã„ã‚Œã¦ç½®ã„ã¦ã‚‚良ã„. %%% Local Variables: %%% mode: latex %%% TeX-master: t %%% End: cafeobj-1.5.4/doc/PigNose/part3.tex0000644000000000000000000031036012415124723015500 0ustar rootroot\chapter{åé§ã‚¨ãƒ³ã‚¸ãƒ³} \label{sec:intro-refutation-engine} 本章ã§ã¯PigNoseシステムã®æ ¸ã§ã‚ã‚‹åé§ã‚¨ãƒ³ã‚¸ãƒ³ã«ã¤ã„ã¦èª¬æ˜Žã™ã‚‹ï¼Ž 本章ã®å†…容ã¯èª­è€…ãŒå°Žå‡ºåŽŸç†(resolution principle)ã«åŸºã¥ã„ãŸå®šç†è‡ªå‹•è¨¼æ˜Ž ã«ã¤ã„ã¦ã®åŸºæœ¬çš„ãªçŸ¥è­˜ã‚’有ã™ã‚‹äº‹ã‚’仮定ã—ã¦ã„る． 付録~\ref{sec:resolution-principle}~ã«ç°¡å˜ãªè§£èª¬ã‚’載ã›ãŸãŒï¼Œ ä¸æ¡ˆå†…ãªèª­è€…ã¯æ–‡çŒ®(\cite{chang-lee}ç­‰)ã‚’å‚ç…§ã—ã¦æ¬²ã—ã„． ã¾ãŸä»˜éŒ²~\ref{sec:desc-resolution} ã« ã“ã“ã§ä½¿ã„方を説明ã™ã‚‹åé§ã‚¨ãƒ³ã‚¸ãƒ³ãŒä½¿ç”¨ã—ã¦ã„ã‚‹å„種ã®æŽ¨è«–ルールã«ã¤ã„ ã¦æ¦‚説ãŒã‚ã‚‹ã®ã§å¿…è¦ã«å¿œã˜ã¦ãれもå‚ç…§ã•ã‚ŒãŸã„． % åé§ã‚¨ãƒ³ã‚¸ãƒ³ãŒè¡Œã†resolutionã¯\textbf{sos 戦 % ç•¥ --- set of support strategy} ã¨å‘¼ã°ã‚Œã‚‹æ–¹å¼ã®ã‚‚ã®ã§ã‚る．ã“ã‚Œã«ã¤ % ã„ã¦ã¯ç¬¬~\ref{sec:}ç« ã®æ¦‚説をå‚ç…§ã•ã‚ŒãŸã„． \section{åé§ã‚¨ãƒ³ã‚¸ãƒ³ã®æ©Ÿèƒ½} \label{sec:func-abst} 最åˆã«è¿°ã¹ãŸé€šã‚Šåé§ã‚¨ãƒ³ã‚¸ãƒ³ã¯ç­‰å·ã‚’å«ã‚€ä¸€éšŽè¿°èªžè«–ç†ç³»ã®ä¸Šã§ã®å®šç†è¨¼æ˜Ž 機能をæä¾›ã™ã‚‹ã‚‚ã®ã§ã‚ã‚‹ãŒ, ã“れをもã†å°‘ã—具体的ã«è¿°ã¹ã‚‹ã¨æ¬¡ã®ã‚ˆã†ã«ãªã‚‹ï¼š \begin{itemize} \item CafeOBJ モジュールã§å®£è¨€ã•ã‚ŒãŸå…¬ç†ã‚’，等å·ã‚’å«ã‚€ä¸€éšŽè¿°èªžè«–ç†(ä»¥é™ ã“れを \texttt{FOPL}ã¨ç•¥ç§°ã™ã‚‹)ã®è«–ç†å¼ã¨ã¿ãªã—, \item ãã®ãƒ¢ã‚¸ãƒ¥ãƒ¼ãƒ«ã®æ–‡è„ˆã«ãŠã„ã¦ï¼Œä¸Žãˆã‚‰ã‚ŒãŸè¿°èªžãŒãƒ¢ã‚¸ãƒ¥ãƒ¼ãƒ«ã®å…¬ç†ã‹ らã®è«–ç†çš„帰çµã¨ãªã‚‹ã‹ã©ã†ã‹ã‚’åé§æ³•ã«ã‚ˆã£ã¦è¨¼æ˜Žã™ã‚‹. \end{itemize} å‰è¿°ã®ã‚ˆã†ã«åé§ã«ã¯å°Žå‡ºåŽŸç† (resolutio principal)~\cite{chang-lee}ã‚’ 用ã„ã‚‹ãŒ, ç­‰å·ã‚’扱ã†ãŸã‚ã® paramodulation 機構(\ref{sec:paramod}ç« )㌠推論ルールã¨ã—ã¦å«ã¾ã‚Œã¦ã„ã‚‹. 導出ã«ç”¨ã„られる推論ルールã«ã¯åŸºæœ¬çš„㪠binary resolution (\ref{sec:binary-res}ç« ) ã«åŠ ãˆã¦, (negativ/positive) hyper resolution (\ref{sec:hyper-res}ç« ), ã¾ãŸ unit resulting resolution ãŒç”¨æ„ã•ã‚Œã¦ã„ ã‚‹. ã¾ãŸ, è«–ç†å¼ã«å«ã¾ã‚Œã‚‹é–¢æ•°é©ç”¨ãƒ•ã‚©ãƒ¼ãƒ ã®ç°¡å˜åŒ–機構ã¨ã—㦠demodulation(\ref{sec:demod}ç« )ãŒçµ„ã¿è¾¼ã¾ã‚Œã¦ã„ã‚‹. % demodulation ã¯é–¢æ•°ãƒ•ã‚©ãƒ¼ãƒ ã ã‘ã§ãªãè«–ç†å¼ã®æ›¸ãæ›ãˆã«ã‚‚用ã„ã‚‹ã“ã¨ãŒ % å¯èƒ½ã¨ãªã£ã¦ã„ã‚‹. ã¾ãŸæŽ¨è«–戦略ã¨ã—ã¦ã¯ Set of Support 戦略(SOS 戦略) を用ã„ã¦ã„ã‚‹\footnote{SOS戦略åŠã³åé§ã‚¨ãƒ³ã‚¸ãƒ³ã®å‹•ä½œã«ã¤ã„ã¦ã¯ 第~\ref{sec:infer-process} ã«æ¦‚è¦ã‚’示ã—ãŸï¼Ž}． åé§ã‚¨ãƒ³ã‚¸ãƒ³ã‚’組ã¿è¾¼ã‚“ã ã‚¤ãƒ³ã‚¿ãƒ—リタã¯, 通常㮠CafeOBJ インタプリタã¨ã— ã¦ãªã‚“ら変ã‚る事無ã使用ã§ãã‚‹. エンジンã®æ©Ÿèƒ½ã¯æ–°è¦ã®è¨€èªžè¦ç´ ï¼Œã‚³ãƒžãƒ³ãƒ‰ 群ã¨ã—ã¦æä¾›ã•ã‚Œã‚‹ï¼Ž \section{CafeOBJモジュールã®è§£é‡ˆ} \subsection{FOPLæ–‡} PigNoseã«ãŠã‘ã‚‹FOPLæ–‡ã¯é€šå¸¸ã®é …ã¨åŒæ§˜ã« CafeOBJ é …ã§ã‚ã‚‹. ã“ã‚Œã¯çµ„ã¿è¾¼ã¿ãƒ¢ã‚¸ãƒ¥ãƒ¼ãƒ«FOPL-CLAUSE(第~\ref{sec:builtin-fopl-clause}ç«  ã‚’å‚ç…§)ã§å®šç¾©ã•ã‚Œã¦ã„ã‚‹(FOPLæ–‡ã®æ§‹æ–‡ã®è©³ç´°ã¯ç¬¬~\ref{sec:fopl-syntax}ç«  ã§èª¬æ˜Žã™ã‚‹)ãŒ, ã“ã‚Œã¯å¾“æ¥ã®CafeOBJ言語ã«ã‚ˆã‚‹è¨˜è¿°ã¨å‡ºæ¥ã‚‹ã ã‘境界ãªã— ã«FOPL文を使ãˆã‚‹ã‚ˆã†ã«ã™ã‚‹ãŸã‚ã®æ–¹ç­–ã§ã‚ã‚‹. ã“れを具体的ã«å®Ÿç¾ã™ã‚‹ãŸã‚， \begin{framed} CafeOBJ組ã¿è¾¼ã¿ã®ã‚½ãƒ¼ãƒˆ Bool ã‚’, FOPLã®çœŸå½å€¤ã‚’表ç¾ã™ã‚‹ãŸã‚ã®ã‚½ãƒ¼ãƒˆã¨ã— ã¦ä½¿ç”¨ã™ã‚‹ï¼Ž \end{framed} ã¨ã„ã†æ–¹é‡ãŒã¨ã‚‰ã‚Œã¦ã„ã‚‹. ソートBoolã¯è«–ç†æ¼”算を定義ã—ã¦ã„る組ã¿è¾¼ã¿ モジュールBOOL\footnote{実際ã«ã¯BOOLã‹ã‚‰ã‚¤ãƒ³ãƒãƒ¼ãƒˆã•ã‚Œã‚‹TRUTH-VALUE㧠定義ã•ã‚Œã¦ã„る．}ã§å®šç¾©ã•ã‚Œã¦ã„るモジュールã§ã‚り，CafeOBJã§ã¯ 特ã«æŒ‡å®šã®ç„¡ã„é™ã‚ŠBOOLモジュールã¯åˆ©ç”¨è€…ãŒå®šç¾©ã—ãŸå…¨ã¦ã®ãƒ¢ã‚¸ãƒ¥ãƒ¼ãƒ«ã« 暗黙的ã«ã‚¤ãƒ³ãƒãƒ¼ãƒˆã•ã‚Œã¦ã„る． ã“ã®ã“ã¨ã‹ã‚‰è¨€ãˆã‚‹ã®ã¯ \begin{center} \fbox{\textbf{ソートBoolã®CafeOBJé …ã¯FOPLã®æ–‡(述語)ã¨è§£é‡ˆã•ã‚Œã‚‹}}. \end{center} ã¨ã„ã†äº‹ã§ã‚る． ãã®ä»–ã®CafeOBJé …(組ã¿è¾¼ã¿ã‚½ãƒ¼ãƒˆBool以外ã®é …)ã¯è¿°èªžã®å¼•æ•°ã¨ã—ã¦å‡ºç¾ã™ ã‚‹ã®ã§ãªã„é™ã‚Š, FOPLã§ã®æ­£å½“ãªå¼ã¨ã¯è¦‹ãªã•ã‚Œãªã„. ã¾ãŸCafeOBJ モジュールã§è¨˜è¿°ã•ã‚ŒãŸå…¬ç†ã¯, ã“ã®äº‹ã‚’基本ã¨ã—ã¦ä»¥ä¸‹ã§è¿°ã¹ るよã†ã«è§£é‡ˆã•ã‚Œã‚‹. \subsection{ç­‰å¼ã®è§£é‡ˆ} CafeOBJ ã®(æ¡ä»¶ä»˜ã)ç­‰å¼ã¯, 次ã®ã‚ˆã†ãªå½¢ã‚’ã—ã¦ã„ã‚‹\footnote{% CafeOBJ ã«ã¯ \texttt{eq} ã¾ãŸã¯ \texttt{ceq} ã§å®£è¨€ã•ã‚Œã‚‹ å¯è¦–ç­‰å¼ã¨ï¼Œ\texttt{beq} ã¾ãŸã¯ \texttt{cbeq} ã§å®£è¨€ã•ã‚Œã‚‹ 振舞等å¼ã®2種ãŒã‚ã‚‹ãŒï¼Œã“ã“ã§ã¯ãれらを区別ã›ãšã«æ‰±ã†ï¼Ž} \begin{vvtm} \begin{simplev} ＜左辺＞ = ＜å³è¾ºï¼ž if ＜æ¡ä»¶ï¼ž . \end{simplev} \end{vvtm} ã“れをFOPLã®implication(å«æ„ \verb|->|) \begin{vvtm} \begin{simplev} ＜æ¡ä»¶ï¼ž -> ＜左辺＞ = ＜å³è¾ºï¼ž \end{simplev} \end{vvtm} ã¨è§£é‡ˆã™ã‚‹. %CafeOBJã®æ¡ä»¶éƒ¨ã¯ã‚½ãƒ¼ãƒˆBoolã®é …ã§ã‚ã‚‹ã®ã§, 上ã®ã‚ˆã†ãªè§£é‡ˆã¯ %自然ã«ã§ã‚ã‚‹. ã¾ãŸã“ã‚Œã¯ä¸‹ã¨ç­‰ä¾¡ã§ã‚ã‚‹. ã“ã“ã§, \verb|~|ã¯FOPLæ–‡ã®å¦å®šã‚’表ã™è«–ç†æ¼”ç®—ã§ã‚る． ã¾ãŸ \verb+|+ ã¯è«–ç†å’Œã‚’表ã™FOL文表ç¾ã§ã‚ã‚‹ (表~\ref{tab:builtin-pred} ã‚’å‚ç…§)． \begin{vvtm} \begin{simplev} ~＜æ¡ä»¶ï¼ž | ＜左辺＞ = ＜å³è¾ºï¼ž \end{simplev} \end{vvtm} ã“ã“ã§, CafeOBJç­‰å¼ã®\texttt{=}ã‚’FOPLã®ç­‰å·\texttt{=}ã¨è§£é‡ˆã—ã¦ã„ã‚‹ 事ã«æ³¨æ„. resolution ã‚’è¡Œã†éš›ã«ã¯, 最後ã«å¾—られãŸå½¢ã®å¼ã‚’節形å¼\footnote{% 述語論ç†ã«ãŠã‘る節形å¼ã¨ã¯ 0 個以上ã®ãƒªãƒ†ãƒ©ãƒ«ã®é›†åˆã§ã‚り， リテラルã®è«–ç†å’Œã®å…¨ç§°é–‰åŒ…ã®äº‹ã§ã‚る．ã¾ãŸï¼Œãƒªãƒ†ãƒ©ãƒ«ã¨ã¯ ç´ å¼(原å­è«–ç†å¼)ã¾ãŸã¯ãã®å¦å®šã‚’言ã†ï¼Žä¾‹ãˆã°ï¼Œç¯€å½¢å¼ $\{P(x), \neg Q(x,y)\}$ ã¯, $\forall x \forall y (P(x)\lor\neg Q(x,y)$ ã‚’æ„味ã™ã‚‹ï¼Ž } ã«å¤‰æ›ã—ã¦ç”¨ã„ã‚‹. ã“ã‚Œã¯ã‚·ã‚¹ãƒ†ãƒ ãŒè‡ªå‹•çš„ã«è¡Œã†ã®ã§, 利用者ã¯ã“ã‚Œã«é–¢ã—ã¦ç‰¹ã«æ°— を使ã†å¿…è¦ã¯ãªã„. ç­‰å¼ã®ï¼œæ¡ä»¶éƒ¨ï¼žãŒçœç•¥ã•ã‚Œã¦ã„ã‚‹å ´åˆã¯, å˜ç´”ã« \begin{vvtm} \begin{simplev} ＜左辺＞ = ＜å³è¾ºï¼ž \end{simplev} \end{vvtm} ã¨ã„ã†FOPLã®ç­‰å¼ã¨ãªã‚‹. \subsection{組ã¿è¾¼ã¿è¿°èªžã®è§£é‡ˆ(変æ›)} \label{sec:bool-mod} å…ˆã«CafeOBJã®ã‚½ãƒ¼ãƒˆBoolã®é …ã¯, 自動的㫠FOPL æ–‡ã¨ã¿ãªã•ã‚Œã‚‹ã¨è¿°ã¹ãŸ. CafeOBJã«ã¯Boolを値ã®ã‚½ãƒ¼ãƒˆã¨ã™ã‚‹ã‚ªãƒšãƒ¬ãƒ¼ã‚¿ãŒã„ãã¤ã‹çµ„ã¿è¾¼ã¾ã‚Œã¦ã„ã‚‹. ã“れらã¯çµ„ã¿è¾¼ã¿ãƒ¢ã‚¸ãƒ¥ãƒ¼ãƒ«BOOLã¨ãã®ã‚µãƒ–モジュールã§å®£è¨€ã•ã‚Œã¦ ã„ã‚‹ã‚‚ã®ã§ã‚ã‚‹ãŒ, 表\ref{tab:builtin-pred}ã«ç¤ºã—ãŸã‚ˆã†ã«ãれら㨠æ„味的ã«å¯¾å¿œã™ã‚‹FOPLè«–ç†çµåˆå­ã¸ã¨ã‚·ã‚¹ãƒ†ãƒ ãŒå¤‰æ›ã™ã‚‹. \begin{table}[htbp] \begin{center} \begin{tabular}{c|c}\hline \multicolumn{1}{G|}{CafeOBJ組ã¿è¾¼ã¿è¿°èªž} & \multicolumn{1}{G}{FOPLè«–ç†çµåˆå­}\\\hline \texttt{\_and\_} & \texttt{\_\&\_} (è«–ç†ç©) \\\hline \texttt{\_or\_} & \verb^_|_^ (è«–ç†å’Œ) \\\hline \texttt{not\_} & \verb|~|{\texttt\_} (å¦å®š) \\\hline \texttt{\_implies\_} & \texttt{\_->\_}(å«æ„) \\\hline \texttt{\_iff\_} & \texttt{\_<->\_} (åŒç­‰) \\\hline \texttt{\_and-also\_} & \texttt{\_\&\_} (è«–ç†ç©) \\\hline \texttt{\_or-else\_} & \verb^_|_^ (è«–ç†å’Œ) \\\hline \texttt{\_==\_} & \texttt{\_=\_} (ç­‰å·) \\\hline \texttt{\_=b=\_} & \texttt{\_=\_} (ç­‰å·) \\\hline \end{tabular} \caption{{組ã¿è¾¼ã¿è¿°èªžã®è§£é‡ˆ}} \label{tab:builtin-pred} \end{center} \end{table} ã¾ãŸçµ„ã¿è¾¼ã¿ã® \texttt{\_xor\_}(exclusive or) ã«é–¢ã—ã¦ã¯, \begin{vvtm} \begin{simplev} p xor q --> (~p | ~q)&(p | q) \end{simplev} \end{vvtm} ã®ã‚ˆã†ãªç­‰ä¾¡å¤‰æ›ã‚’è¡Œã†. ãªãŠå…·ä½“çš„ãªFOPLã®æ–‡æ³•ã«ã¤ã„ã¦ã¯ç¬¬\ref{sec:fopl-syntax}ç« ã§èª¬æ˜Ž ã™ã‚‹ï¼Ž \subsection{制約事項} CafeOBJã§ã¯å…¬ç†ã¨ã—ã¦æ¡ä»¶ä»˜ãç­‰å¼ã°ã‹ã‚Šã§ã¯ãªãé·ç§»è¦å‰‡ã‚‚記述 å¯èƒ½ã§ã‚ã‚‹ãŒï¼Œã“れをé©åˆ‡ã«æ‰±ã†ã“ã¨ã¯ä¸å¯èƒ½ã§ã‚ã‚‹\footnote{% é·ç§»è¦å‰‡ $t \Rightarrow t'$ ã‚’æ–¹å‘ã¤ã‘られãŸé–¢ä¿‚ã¨ã—， é·ç§»é–¢ä¿‚ã®æ€§è³ªã‚’å…¬ç†ã«ã‚ˆã£ã¦è¡¨ç¾ã™ã‚‹ã“ã¨ã«ã‚ˆã‚Š ã‚る程度ã®è¡¨ç¾ã¯å¯èƒ½ã§ã‚ã‚‹ãŒï¼Œã‚·ã‚¹ãƒ†ãƒ ã«ã¨ã£ã¦ é·ç§»è¦å‰‡ã®æŒã¤æŽ¨ç§»å‰‡ã‚’é©åˆ‡ã«æ‰±ã†ã“ã¨ã¯å›°é›£ã§ã‚る． } ã“ã®ãŸã‚ PigNose ã§ã¯é·ç§»è¦å‰‡ã«ã‚ˆã‚‹å…¬ç†ã¯ç„¡è¦–ã•ã‚Œã‚‹. ã“ã‚Œã¨ä½µã›ã¦, PigNose を利用ã™ã‚‹ã«å½“ãŸã£ã¦ã¯ä»¥ä¸‹ã«æŽ²ã’るよã†ãªåˆ¶ç´„事項㌠ã‚る： \begin{snugshade} \begin{enumerate} \item é·ç§»è¦å‰‡(\texttt{trans, ctrans} ã«ã‚ˆã£ã¦å®£è¨€ã•ã‚ŒãŸå…¬ç†)ã¯ä½¿ç”¨ã§ããªã„. \item 利用者定義ã®ã‚ªãƒšãƒ¬ãƒ¼ã‚¿ãŒçµ„ã¿è¾¼ã¿ã‚½ãƒ¼ãƒˆBoolを引数ã«æŒã£ã¦ã„ã¦ã¯ãª らãªã„． \item 振舞等å¼ã®\texttt{=}ã¨å¯è¦–ç­‰å¼ã®\texttt{=}ã¨ã‚’区別ã—ãªã„. \item \texttt{if\_then\_else\_fi} ã¯ä½¿ç”¨ã§ããªã„. \item メンãƒã‚·ãƒƒãƒ—述語 (\texttt{\_:<ソートå>}) ã¯ä½¿ç”¨ã§ããªã„. \item 組ã¿è¾¼ã¿ã®ç­‰å¼(Lisp関数ã§å®šç¾©ã•ã‚Œã¦ã„ã‚‹ã‚‚ã®)ã¯resolution㫠用ã„ã‚‹ã“ã¨ã¯ã§ããªã„．システムã¯ã“れらを無視ã™ã‚‹. 但ã—demodulator(第~\ref{sec:demod}ç« )ã¨ã—ã¦ã¯ä½¿ç”¨ã§ãã‚‹ã®ã§, システ ムã¯è‡ªå‹•çš„ã«ã“れらをdemodulatorã¨ã—ã¦ä½¿ç”¨ã™ã‚‹. \end{enumerate} \end{snugshade} \subsection{ãã®ä»–ã® CafeOBJ 組ã¿è¾¼ã¿ãƒ¢ã‚¸ãƒ¥ãƒ¼ãƒ«ã®æ‰±ã„} BOOLモジュールã®æ‰±ã„ã«ã¤ã„ã¦ã¯ç¬¬~\ref{sec:bool-mod} 節ã§è¿°ã¹ãŸãŒ, ã“ã“ã§ã¯, NATã‚„STRINGç­‰ã®ãã®ä»–ã®çµ„ã¿è¾¼ã¿ãƒ¢ã‚¸ãƒ¥ãƒ¼ãƒ«ã®ä¸€èˆ¬çš„ãªæ‰±ã„ã«ã¤ ã„ã¦è¿°ã¹ã‚‹. ç¾åœ¨ CafeOBJ インタプリタã«ã¯ä»¥ä¸‹ã®çµ„ã¿è¾¼ã¿ãƒ¢ã‚¸ãƒ¥ãƒ¼ãƒ«ãŒæä¾› ã•ã‚Œã¦ã„る： \begin{center} \begin{simplev} NZNAT NAT INT RAT FLOAT STRING CHARACTER 2TUPLE 3TUPLE 4TUPLE PROPC \end{simplev} \end{center} ã“れらã®ãƒ¢ã‚¸ãƒ¥ãƒ¼ãƒ«ã®ã†ã¡, PROPCを例外ã¨ã—ã¦ä»–ã®å…¨ã¦ã®çµ„ã¿è¾¼ã¿ãƒ¢ã‚¸ãƒ¥ãƒ¼ãƒ« ã«å«ã¾ã‚Œã‚‹å…¬ç†ã¯æ¬¡ã®ã‚ˆã†ãªå–り扱ã„ã‚’å—ã‘る： \begin{itemize} \item å…¨ã¦ã®å…¬ç†ã¯(組ã¿è¾¼ã¿ã®)demodulatorã¨ã—ã¦ã®ã¿ä½¿ã‚れる. \item 従ã£ã¦æŽ¨è«–ルールを用ã„ãŸæ–°ãŸãªç¯€ã®å°Žå‡ºã«ã¯ç”¨ã„られãªã„. \item æ¡ä»¶ä»˜ãã®ç­‰å¼ã¯ç„¡è¦–ã•ã‚Œã‚‹. \end{itemize} モジュール\texttt{PROC}をサブモジュールã«æŒã¤ãƒ¢ã‚¸ãƒ¥ãƒ¼ãƒ«ã«ãŠã„㦠PigNoseã¯ã†ã¾ã機能ã—ãªã„． \section{組ã¿è¾¼ã¿ãƒ¢ã‚¸ãƒ¥ãƒ¼ãƒ« -- FOPL-CLAUSE} \label{sec:builtin-fopl-clause} ã‚るモジュールã§åé§ã‚¨ãƒ³ã‚¸ãƒ³ã®æ©Ÿèƒ½ã‚’利用ã™ã‚‹ã«ã¯, ãã®ãƒ¢ã‚¸ãƒ¥ãƒ¼ãƒ« 文脈ã§\texttt{FOPL-CLAUSE}ã¨ã„ã†åå‰ã®çµ„è¾¼ã¿ãƒ¢ã‚¸ãƒ¥ãƒ¼ãƒ«ãŒã‚µãƒ–モジュール ã®ä¸€ã¤ã«ãªã£ã¦ã„る事)ãŒå¿…è¦ã§ã‚ã‚‹. ã“ã®ãƒ¢ã‚¸ãƒ¥ãƒ¼ãƒ«ã¯ã‚·ã‚¹ãƒ†ãƒ ã®ãƒ©ã‚¤ãƒ–ラリファイル\texttt{fopl.mod}ã§å®šç¾©ã• ã‚Œ, FOPLã®è«–ç†å¼ã®æ§‹æ–‡ãŒå®šç¾©ã•ã‚Œã¦ã„ã‚‹. ã¾ãŸã‚·ã‚¹ãƒ†ãƒ ã¯, FOPL-CLAUSE ãŒè¼¸å…¥ã•ã‚Œã¦ã„るモジュールã§ã¯PigNoseã®åé§ã‚¨ãƒ³ã‚¸ãƒ³ã§å°Žå…¥ã•ã‚ŒãŸæ©Ÿèƒ½ãŒ 使用ã§ãるよã†ã«å®Ÿè¡Œç’°å¢ƒã‚’設定ã™ã‚‹\footnote{% 第 \ref{sec:fopl-loading} 節ã§è¿°ã¹ãŸé€šã‚Š,fopl.mod ã¯, システム ã®åˆæœŸåŒ–ファイル site-init.mod ã«, \textbf{require fopl} ã¨ã„ã†ã‚³ãƒžãƒ³ ドをã„ã‚Œã¦ãŠã事ã«ã‚ˆã£ã¦, システム(CafeOBJ インタプリタ)ã‚’ç«‹ã¡ä¸Šã’る毎 ã«è‡ªå‹•çš„ã«ã‚·ã‚¹ãƒ†ãƒ ã«ãƒ­ãƒ¼ãƒ‰ã•ã‚Œã‚‹ã‚ˆã†ã«ã™ã‚‹äº‹ãŒã§ãã‚‹.} ． \subsection{FOPL-CLAUSE ã®è‡ªå‹•è¼¸å…¥} モジュール FOPL-CLAUSE を簡便ã«å‚ç…§ã™ã‚‹ãŸã‚ã«, æ–°è¦ã®CafeOBJスイッム\texttt{iclude FOPL-CLAUSE} ãŒç”¨æ„ã•ã‚Œã¦ã„ã‚‹. \begin{vvtm} \begin{examplev} set include FOPL-CLAUSE on -- 自動輸入を有効ã«ã™ã‚‹ (åˆæœŸå€¤) set include FOPL-CLAUSE off -- 自動輸入を無効ã«ã™ã‚‹ \end{examplev} \end{vvtm} ã“ã®ãƒ•ãƒ©ã‚°ã‚’\texttt{on}ã«è¨­å®šã™ã‚‹äº‹ã«ã‚ˆã£ã¦ï¼Œ モジュール内ã§\texttt{ax}ã‚ã‚‹ã„ã¯\texttt{goal}ã«ã‚ˆã‚‹å…¬ç†å®£è¨€ (第\ref{sec:new-construct}ç« ã‚’å‚ç…§)ãŒå‡ºç¾ã—ãŸå ´åˆï¼Œè‡ªå‹•çš„ã« FOPL-CLAUSE ãŒãã®ãƒ¢ã‚¸ãƒ¥ãƒ¼ãƒ«ã«è¼¸å…¥ã•ã‚Œã‚‹ã‚ˆã†ã‚·ã‚¹ãƒ†ãƒ ãŒæŒ¯èˆžã†ï¼Ž スイッãƒã®åˆæœŸå€¤ã¯\texttt{on}ã§ã‚り，特ã«ç†ç”±ãŒç„¡ã„é™ã‚Šã“れを \texttt{off}ã«ã™ã‚‹å¿…è¦ã¯ç„¡ã„． \section{FOPL ã®æ§‹æ–‡} \label{sec:fopl-syntax} ã“ã“ã§ã¯ãƒ¢ã‚¸ãƒ¥ãƒ¼ãƒ«\texttt{FOPL-CLAUSE}ã§å®šç¾©ã•ã‚Œã‚‹FOPLã®æ§‹æ–‡ã‚’示ã™ï¼Ž FOPL ã®æ–‡ã¯CafeOBJé …ã§è¡¨ç¾ã•ã‚Œã‚‹ã“ã¨ã¯æ—¢ã«è¿°ã¹ãŸï¼Ž ãã®ã‚½ãƒ¼ãƒˆã¯\texttt{FoplSentence}ã¨å付ã‘られ， 下ã§ç¤ºã—ãŸCafeOBJソート宣言文ã«ç¤ºã•ã‚Œã¦ã„るよã†ã«, 組ã¿è¾¼ã¿ã‚½ãƒ¼ãƒˆ Bool ã®ä¸Šä½ã‚½ãƒ¼ãƒˆã¨ã—ã¦å®£è¨€ã•ã‚Œã¦ã„ã‚‹. \begin{description} \item \textbf{FOPLæ–‡ã®ã‚½ãƒ¼ãƒˆå®£è¨€} \begin{vvtm} \begin{simplev} [Bool < FoplSentence] \end{simplev} \end{vvtm} \end{description} ã“ã®å®šç¾©ã«ã‚ˆã£ã¦Boolã®CafeOBJé …ã¯FOPLã®æ–‡ã¨ãªã‚Šï¼Œ ã¾ãŸBool値ã®ã‚ªãƒšãƒ¬ãƒ¼ã‚¿ã¯FOPLã®è¿°èªžã¨ã¿ãªã•ã‚Œã‚‹ï¼Ž \subsection{è«–ç†çµåˆå­ã®æ§‹æ–‡} è«–ç†çµåˆå­ã®æ§‹æ–‡ã‚’CafeOBJã®ã‚ªãƒšãƒ¬ãƒ¼ã‚¿å®£è¨€ã§ç¤ºã™ã¨ä»¥ä¸‹ã®ã‚ˆã†ã«ãªã‚‹ (å…ˆã«æŽ²ã’ãŸè¡¨~\ref{tab:builtin-pred}ã‚‚å‚ç…§)． \begin{description} \item \textbf{è«–ç†å’Œ} \begin{vvtm} \begin{simplev} op _|_ : FoplSentence FoplSentence -> FoplSentence {prec: 107} \end{simplev} \end{vvtm} \item \textbf{è«–ç†ç©} \begin{vvtm} \begin{simplev} op _&_ : FoplSentence FoplSentence -> FoplSentence {prec: 101} \end{simplev} \end{vvtm} \item \textbf{å¦å®š} \begin{vvtm} \begin{simplev} op ~_ : FoplSentence -> FoplSentence {prec: 0} \end{simplev} \end{vvtm} \item \textbf{å«æ„} \begin{vvtm} \begin{simplev} op _->_ : FoplSentence FoplSentence -> FoplSentence {prec: 120} \end{simplev} \end{vvtm} \item \textbf{åŒå€¤} \begin{vvtm} \begin{simplev} op _<->_ : FoplSentence FoplSentence -> FoplSentence {prec: 120} \end{simplev} \end{vvtm} \item \textbf{ç­‰å·} \begin{vvtm} \begin{simplev} op _=_ : FoplSentence FoplSentence -> FoplSentence {prec: 51} \end{simplev} \end{vvtm} \end{description} 次ã«ï¼Œé™é‡å­ã«é–¢ã—ã¦ã¯ä¸‹ã®ã‚ˆã†ã«å®šç¾©ã•ã‚Œã¦ã„る． \begin{description} \item \textbf{全称é™é‡å­(forall)} \begin{vvtm} \begin{simplev} op \A[_] _ : VarDeclList FoplSentence -> FoplSentence {prec: 125} \end{simplev} \end{vvtm} \item \textbf{存在é™é‡å­(exists)} \begin{vvtm} \begin{simplev} op \E[_] _ : VarDeclList FoplSentence -> FoplSentence {prec: 125} \end{simplev} \end{vvtm} \end{description} ã“ã“ã§, \texttt{VarDeclList}ã¯å¤‰æ•°åã‚ã‚‹ã„ã¯on-the-flyã®å¤‰æ•°å®£è¨€ (\texttt{VAR:SORT}ã®å½¢ã®å¤‰æ•°å®£è¨€ -- \texttt{VAR}ã¯å¤‰æ•°å, \texttt{SORT}ã¯ã‚½ãƒ¼ãƒˆåã§ã‚ã‚‹) をコンマ記å·(,)ã§åŒºåˆ‡ã£ã¦ä¸¦ã¹ãŸã‚‚ã®ã§ã‚ã‚‹. \subsection{述語・命題ã®å®£è¨€} å…ˆã«è¿°ã¹ãŸé€šã‚Š, ソート\texttt{FoplSentence}ã®é …ãŒFOPL æ–‡ã§ã‚ã‚Š, å‰ç¯€ã§ç¤ºã—ãŸè«–ç†çµåˆå­ã‚„é™é‡å­ã‚’用ã„ã¦è¨˜è¿°ã•ã‚Œã‚‹ï¼Ž ã¾ãŸBool値ã®ã‚ªãƒšãƒ¬ãƒ¼ã‚¿ã¯ä¸€èˆ¬ã«è¿°èªžã¨ã—ã¦è§£é‡ˆã•ã‚Œã‚‹ã®ã§, 述語や命題ã¯é€šå¸¸ã®CafeOBJ ã®ã‚ªãƒšãƒ¬ãƒ¼ã‚¿å®£è¨€ã«ã‚ˆã£ã¦è¡Œã†ã“ã¨ãŒ ã§ãã‚‹. 命題ã®å ´åˆã¯, 引数をæŒãŸãªã„ Bool ã®å®šæ•°é …ã¨ã—ã¦å®£è¨€ã™ã‚Œã°è‰¯ã„. ã“ã®ãŸã‚ã«ã¯, 下ã®ã‚ˆã†ã«CafeOBJã®\texttt{pred}構文を用ã„ã‚‹ã®ãŒ 便利ã§ã‚る： \begin{vvtm} \begin{examplev} pred P1 : S1 S2 -- 2引数ã®è¿°èªž pred P0 : -- 命題 \end{examplev} \end{vvtm} %%%%% \subsection{FOPLæ–‡ã®è¨˜è¿°ä¾‹} 下㫠FOPL æ–‡ã«ã‚ˆã‚‹è«–ç†å¼ã®è¨˜è¿°ä¾‹ã‚’示ã™. ã“れ㯠組ã¿è¾¼ã¿ã® NAT を文脈モジュールã¨ã—ã¦ä½¿ç”¨ã—ãŸã‚‚ã®ã§ã‚ã‚‹. 通常記å·è«–ç†ã§ä½¿ç”¨ã•ã‚Œã‚‹æ§‹æ–‡ã¨ã»ã¼åŒæ§˜ã®è¨˜æ³•ã§è«–ç†å¼ãŒè¨˜è¿° ã§ãるよã†ã«ãªã£ã¦ã„ã‚‹ã“ã¨ãŒäº†è§£ã•ã‚Œã‚‹ã§ã‚ã‚ã†\footnote{% ã“ã“ã§ä¾‹ç¤ºã—ãŸã‚ˆã†ã«ï¼Œã‚るモジュールã§åé§ã‚¨ãƒ³ã‚¸ãƒ³ã‚’用ã„ã¦ä½•ã‹ä½œæ¥­ã‚’ ãŠã“ãªã„ãŸã„å ´åˆã¯ï¼Œ\texttt{open} コマンドã«ã‚ˆã£ã¦ãã®ãƒ¢ã‚¸ãƒ¥ãƒ¼ãƒ«ã‚’ 文脈ã«ã™ã‚‹ã¨ã¨ã‚‚ã«ã‚ªãƒšãƒ¬ãƒ¼ã‚·ãƒ§ãƒ³ã‚„å…¬ç†ã®è¿½åŠ ãŒå¯èƒ½ãªçŠ¶æ…‹ã«ã—， 陽ã«\texttt{protecting(FOPL-CLASE)}ã¨ã™ã‚‹ã“ã¨ã«ã‚ˆã£ã¦ PigNose㮠機能を利用ã™ã‚‹ã“ã¨ã‚‚ã§ãる． }． \begin{vvtm} \begin{examplev} -- NAT を文脈ã¨ã—ã¦ç”¨ã„ã‚‹ open NAT -- FOPL æ–‡ã®è¨˜è¿°ã‚’å¯èƒ½ã¨ã™ã‚‹ãŸã‚ã« FOPL-CLAUSE を輸入ã™ã‚‹ protecting(FOPL-CLAUSE) -- 命題, 述語ã®å®£è¨€ pred p : . pred q : . pred r : . pred P : Nat . pred Q : Nat . pred R : Nat Nat . pred S : Nat Nat . -- Nat 㮠定数 op a : -> Nat . -- t1 〜 t5 㯠CafeOBJ ã® let 変数. -- let t1 = (p -> q) -> (q -> r) . let t2 = \A[X2:Nat]\E[Y1:Nat]\A[X1:Nat]\E[Y2:Nat]R(X1,Y1) & S(X2,Y2) . let t3 = (\A[X:Nat]P(X) -> (\E[Y:Nat]R(X,Y))) & (\A[X:Nat]~ P(X) -> ~ (\E[Y:Nat]R(X,Y))) . let t4 = (\A[X:Nat]P(X) -> (\E[Y:Nat]R(X,Y))) | (\A[X:Nat]~ P(X) -> ~ (\E[Y:Nat]R(X,Y))) . let t5 = \A[X:Nat]P(X) -> (\E[Y:Nat](R(X,Y) -> P(a)) & (\A[Z:Nat]R(Y,Z) -> P(X))) . -- show term t1 ç­‰ã¨ã™ã‚‹ã“ã¨ã«ã‚ˆã£ã¦, システムãŒãƒ‘ーズã—㟠-- 項を表示ã™ã‚‹ã“ã¨ãŒã§ãã‚‹. show term t4 . \end{examplev} \end{vvtm} \section{FOPL æ–‡ã«ã‚ˆã‚‹å…¬ç†ã®å®£è¨€} \label{sec:new-construct} FOPLæ–‡ã«ã‚ˆã‚‹å…¬ç†ã®å®£è¨€ã‚’å¯èƒ½ã¨ã™ã‚‹ãŸã‚， 次ã«ç¤ºã™æ–°è¦æ§‹æ–‡ãŒå°Žå…¥ã•ã‚ŒãŸ. ã“れらã¯åé§ã‚¨ãƒ³ã‚¸ãƒ³ã®å®Ÿè¡Œã®éš›ã«ãã®ä»–ã® CafeOBJ ã®é€šå¸¸ ã®å…¬ç†ã¨ä½µã›ã¦æŽ¨è«–ã«ç”¨ã„られる. ãŸã ã—, CafeOBJ ã®ç°¡ç´„コマンド (\texttt{reduce}, \texttt{breduce}, \texttt{exec}) ã§ç”¨ã„ã‚‹ã“ã¨ã¯å‡ºæ¥ãª ã„. åé§ã‚¨ãƒ³ã‚¸ãƒ³ã«ã‚ˆã‚‹å®šç†è¨¼æ˜Žã«ã®ã¿æœ‰åŠ¹ã§ã‚ã‚‹. \begin{enumerate} \item \begin{vvtm} \begin{simplev} ax <ラベル> <é …> . \end{simplev} \end{vvtm} \begin{itemize} \item \texttt{ax}㯠FOPL æ–‡ã«ã‚ˆã‚‹å…¬ç†ã‚’宣言ã™ã‚‹ã‚‚ã®ã§ã‚る． \item \texttt{<é …>}ã¯ã‚½ãƒ¼ãƒˆ FoplSentence ã®é …ã§ãªã‘ã‚Œã°ãªã‚‰ãªã„． \item \texttt{ax}ã§å®£è¨€ã•ã‚ŒãŸå…¬ç†ã¯å¾“æ¥ã® CafeOBJ ã® \texttt{red}コマンドや \texttt{exec}コマンドã§ä½¿ç”¨ã•ã‚Œã‚‹æ›¸ãæ›ãˆè¦å‰‡ã¨ ã—ã¦ä½¿ã†äº‹ã¯\textbf{ã§ããªã„}． \item \texttt{<ラベル>}ã¯å…¬ç†ã®ãƒ©ãƒ™ãƒ«ã§ã‚ã‚Š, 通常㮠CafeOBJ ã®å…¬ç†ã®ãƒ©ãƒ™ãƒ« ã¨åŒã˜æ§‹æ–‡ã¨ã—åŒæ§˜ã«çœç•¥å¯èƒ½ã¨ã™ã‚‹. \item $<$é …$>$ ã®ä¸­ã«è‡ªç”±å¤‰æ•°ãŒå‡ºç¾ã™ã‚‹å ´åˆã¯ï¼Œãれらã¯æš—黙的㫠全é‡é™å®šå­$\forall$ã§æŸç¸›ã•ã‚Œã¦ã„ã‚‹ã‚‚ã®ã¨è§£é‡ˆã™ã‚‹ï¼Ž \end{itemize} \item \begin{vvtm} \begin{simplev} goal <ラベル> <é …> . \end{simplev} \end{vvtm} \texttt{goal}ã¯\texttt{ax} ã¨åŒæ§˜ã§ã‚ã‚‹ãŒï¼Œ\texttt{<é …>} ã®å¦å®šã‚’自動的 ã«å–ã‚‹ã‚‚ã®ã§ã‚ã‚Š, ``\texttt{ax} \verb|~| \texttt{<é …>}''ã®ç°¡æ˜“表記法ã§ã‚る． \end{enumerate} \texttt{ax}ã¨\texttt{goal}ã¯å¾“æ¥ã®CafeOBJã®å…¬ç†å®£è¨€æ–‡(ç­‰å¼ã‚„é·ç§»è¦å‰‡) ãŒå‡ºç¾ã§ãる場所ãªã‚‰ã°ã©ã“ã«ã§ã‚‚出ç¾ã—ã¦è‰¯ã„. ã¾ãŸ, CafeOBJ ã®ãƒ¢ã‚¸ãƒ¥ãƒ¼ãƒ«è¡¨ç¤ºã‚³ãƒžãƒ³ãƒ‰(\texttt{show <モジュールå¼>})ã«ã‚ˆã£ã¦ モジュール内容ãŒè¡¨ç¤ºã•ã‚Œã‚‹éš›ã«ã¯, \texttt{ax}ã‚„\texttt{goal}ã«ã‚ˆã‚‹ FOPL 文も表示ã•ã‚Œã‚‹ã‚ˆã†ã«ãªã‚‹. \paragraph{FOPLæ–‡ã«ã‚ˆã‚‹å…¬ç†ã®è¨˜è¿°ä¾‹} 下㯠FOPL æ–‡ã«ã‚ˆã‚‹å…¬ç†å®£è¨€ã®ä¾‹ã§ã‚ã‚‹. ã“ã“ã§ã¯æ•´æ•°(Int)上ã®å¤§å°é–¢ä¿‚(\texttt{<=})ã«ã¤ã„ã¦ã® å…¬ç†ã®å¹¾ã¤ã‹ãŒ FOPL æ–‡ã«ã‚ˆã£ã¦è¨˜è¿°ã•ã‚Œã¦ã„ã‚‹. \begin{vvtm} \begin{simplev} mod! INT* { [ Int ] op 0 : -> Int op _+_ : Int Int -> Int op _-_ : Int Int -> Int pred _<=_ : Int Int vars M N : Int ax M <= M . ax 0 <= M & 0 <= N -> 0 <= M + N . ax M <= N -> 0 <= N - M . } \end{simplev} \end{vvtm} 上ã®ä¾‹ã§ã¯ ax ã«ã‚ˆã‚‹å…¬ç†å®£è¨€å…¨ã¦ã«è‡ªç”±å¤‰æ•° M ã‚ã‚‹ã„㯠N ãŒå‡ºç¾ã—ã¦ã„ã‚‹. ã“れらã¯å…ˆã«è¿°ã¹ãŸé€šã‚Š, 全称é™é‡å­ã«ã‚ˆã£ã¦æš—黙的ã«æŸç¸›ã•ã‚Œã‚‹. 従ã£ã¦ä¾‹ãˆã° \begin{simplev} ax 0 <= M & 0 <= N -> 0 <= M + N . \end{simplev} ã¯, \begin{simplev} ax \A[M,N] 0 <= M & 0 <= N -> 0 <= M + N . \end{simplev} ã¨åŒç­‰ã§ã‚ã‚‹. \section{åé§ã‚¨ãƒ³ã‚¸ãƒ³ã®æ–°è¦ã‚³ãƒžãƒ³ãƒ‰ç¾¤} \label{sec:new-commands} ã“ã“ã§ã¯æ–°è¦ã«å°Žå…¥ã•ã‚ŒãŸã‚³ãƒžãƒ³ãƒ‰ã®å…¨ã¦ã‚’ã¾ã¨ã‚ã¦æ示ã™ã‚‹ï¼Ž 個々ã®ã‚³ãƒžãƒ³ãƒ‰ã®è©³ç´°ã«ã¤ã„ã¦ã¯å¾Œã®ç« ã§é †æ¬¡è§£èª¬ã™ã‚‹ï¼Ž \begin{description} \item[flag コマンド] åé§ã‚¨ãƒ³ã‚¸ãƒ³ã®è¨¼æ˜Žæˆ¦ç•¥ã®è¨­å®šã‚„, エンジンã®å‹•ä½œã‚’制御ã™ã‚‹ãŸã‚ã®ã•ã¾ã–ã¾ãª フラグを設定ã™ã‚‹ãŸã‚ã®ã‚³ãƒžãƒ³ãƒ‰ã§ã‚ã‚‹. 構文ã¯æ¬¡ã®ã¨ãŠã‚Šï¼Ž \begin{vvtm} \begin{simplev} :: = flag(<フラグå>, { on | off }) \end{simplev} \end{vvtm} 第一引数ã®\texttt{<フラグå>} ã¯è¨­å®šã—ãŸã„フラグã®åå‰ã§ã‚り，第二引数㧠フラグ㮠on/off を設定ã™ã‚‹ï¼Žãƒ•ãƒ©ã‚°ã®ç¨®é¡žã‚„ãã®æ„味ã«ã¤ã„ã¦ã¯å¾Œè¿°ã™ã‚‹ (第~\ref{sec:pn-flag}ç« ). \item[param コマンド] flag コマンドã¨åŒæ§˜ã«ï¼Œã‚¨ãƒ³ã‚¸ãƒ³ã®å‹•ä½œã‚’制御ã™ã‚‹ãŸã‚ã®ãƒ‘ラメータã®è¨­å®šã‚’ è¡Œã†ãŸã‚ã®ã‚³ãƒžãƒ³ãƒ‰ã§ã‚る． \begin{vvtm} \begin{simplev} ::= param(<パラメータå>, <値>) \end{simplev} \end{vvtm} \texttt{<パラメータå>}ã¯å€¤ã‚’設定ã—ãŸã„パラメータã®åå‰ï¼Œ\texttt{<値>} ã¯è¨­ 定ã—ãŸã„値ã§ã‚り，整数値を指定ã™ã‚‹ï¼Žè¨­å®šå¯èƒ½ãªå€¤ã®ç¯„囲ã¯å€‹ã€…ã®ãƒ‘ラメータ 毎ã«å®šã‚られã¦ã„る．パラメータã®ç¨®é¡žã‚„æ„味ã«ã¤ã„ã¦ã¯å¾Œè¿°ã™ã‚‹ (第~\ref{sec:option-parameters} ç« )． \item[save-option コマンド] ç¾åœ¨è¨­å®šã•ã‚Œã¦ã„るフラグã¨ãƒ‘ラメータã®å€¤ã‚’åå‰ã‚’付ã‘ã¦ä¿å­˜ã™ã‚‹ãŸã‚ã®ã‚³ãƒž ンドã§ã‚る． \begin{vvtm} \begin{simplev} ::= save-option <オプションå> \end{simplev} \end{vvtm} 指定ã®\texttt{<オプションå>}ã§ãƒ•ãƒ©ã‚°ã¨ãƒ‘ラメータã®ç¾åœ¨å€¤ã‚’ä¿å­˜ã™ã‚‹ï¼Ž \texttt{<オプションå>} ã¯ä»»æ„ã®è‹±æ•°æ–‡å­—列． 詳細ã¯~\ref{sec:init-options}ç« ã§èª¬æ˜Žã™ã‚‹ï¼Ž \item[option コマンド] フラグやパラメータã®å€¤ã‚’å…¨ã¦åˆæœŸå€¤ã«æˆ»ã—ãŸã‚Šï¼Œsave-option コマ ンドã§ä»¥å‰ã«ä¿å­˜ã•ã‚Œã¦ã„るフラグ/パラメータ値をç¾åœ¨å€¤ã¨ã—ã¦è¨­å®šã™ã‚‹ãŸ ã‚ã®ã‚³ãƒžãƒ³ãƒ‰ï¼Ž \begin{vvtm} \begin{simplev} option { reset | = <オプションå> } \end{simplev} \end{vvtm} \texttt{<オプションå>}ã¯, 以å‰ã« save-option コマンドを用ã„ã¦ä¿å­˜ã—㦠ãŠã„ãŸã‚ªãƒ—ションã®åå‰ã‚’指定ã™ã‚‹. \texttt{reset}を指定ã™ã‚‹ã¨ï¼Œå…¨ã¦ã®å€¤ãŒåˆæœŸå€¤ã«å†è¨­å®šã•ã‚Œã‚‹ï¼Ž 詳細ã¯~\ref{sec:init-options}ç« ã§èª¬æ˜Žã™ã‚‹ï¼Ž \item[db reset] åé§ã‚¨ãƒ³ã‚¸ãƒ³ã¯, 文脈モジュールã§æŽ¨è«–を実行ã™ã‚‹ã«ã‚ãŸã£ã¦ï¼Œã•ã¾ã–ã¾ãªæƒ… 報を維æŒã—管ç†ã™ã‚‹ï¼Ž`\texttt{db reset}' ã¯ã“ã®ãƒ‡ãƒ¼ã‚¿ãƒ™ãƒ¼ã‚¹ã®åˆæœŸè¨­å®šã‚’è¡Œ ã†ãŸã‚ã®ã‚³ãƒžãƒ³ãƒ‰ã§ã‚ã‚‹(CafeOBJ モジュールã®å…¬ç†ã‚’節形å¼ã«å¤‰æ›ã™ã‚‹ ã®ã¯, ã“ã®ã‚³ãƒžãƒ³ãƒ‰ãŒç™ºã›ã‚‰ã‚ŒãŸã‚¿ã‚¤ãƒŸãƒ³ã‚°ã§è¡Œã‚れる.) 通常ã¯æŽ¨è«–実行コマンド `\texttt{resolve}' ã®ç›´å‰ ã§ã“れを行ã†å¿…è¦ãŒã‚る．自動モード(フラグ auto ã‚ã‚‹ã„㯠auto3 ã‚’ on) ã§æŽ¨è«–ã‚’è¡Œã†å ´åˆã¯ä¸è¦ã§ã‚る． \item[list コマンド] フラグやパラメータ，ã¾ãŸæŽ¨è«–ã«ç”¨ã„る節集åˆ(sos ã‚„ usable -- 後述) ã®å†… 容を表示ã™ã‚‹ãŸã‚ã®ã‚³ãƒžãƒ³ãƒ‰ã§ã‚る． \begin{vvtm} \begin{simplev} ::= list { axiom | sos | usable | flag | param | option | demod } \end{simplev} \end{vvtm} ãã‚Œãžã‚Œã®å¼•æ•°ã®å€¤ã«å¯¾ã—ã¦è¡¨ç¤ºã•ã‚Œã‚‹å†…容ã¯æ¬¡ã®é€šã‚Šï¼š {\small \begin{center} \begin{tabular}{|lcl|}\hline axiom &:& 文脈モジュールã§å®£è¨€ã•ã‚Œã¦ã„ã‚‹å…¬ç†ã‚’節形å¼ã§å°å­—\\ sos &:& ç¯€é›†åˆ SOS ã«å«ã¾ã‚Œã‚‹ç¯€\\ usable &:& ç¯€é›†åˆ Usable ã«å«ã¾ã‚Œã¦ã„る節\\ flag &:& フラグã®ä¸€è¦§ã¨ç¾åœ¨ã®è¨­å®šå€¤\\ param &:& パラメータã®ä¸€è¦§ã¨ç¾åœ¨ã®è¨­å®šå€¤\\ option &:& save-option コマンドã§ã‚»ãƒ¼ãƒ–ã•ã‚ŒãŸã‚ªãƒ—ションåã®ä¸€è¦§\\ demod &:& demodulator 一覧 \\\hline \end{tabular} \end{center} } \begin{description} \item{\textbf{注æ„}}: flag, param, option ã®3ã¤ã®å ´åˆã‚’除ã, list コマンドãŒæœ‰åŠ¹ã¨ãªã‚‹ã®ã¯, å…ˆã«è¿°ã¹ãŸã‚·ã‚¹ãƒ†ãƒ åˆæœŸåŒ– コマンド db reset ãŒå®Ÿè¡Œã•ã‚ŒãŸå¾Œã§ã‚ã‚‹. ã¾ãŸ, demod ã«é–¢ã—ã¦ã¯, db reset を実行時ã«ã‚·ã‚¹ãƒ†ãƒ ãŒç”Ÿæˆã—㟠demodulator ã®ã¿ãŒè¡¨ç¤ºã•ã‚Œã‚‹. システムã¯ã“ã®æ™‚点ã§ã¯çµ„è¾¼ã¿ã®ç­‰å¼(å³è¾ºå´ãŒLisp関数ã§è¨˜è¿°ã•ã‚Œã¦ã„ã‚‹ ç­‰å¼)ã®ã¿ã‚’, demodulator ã¨ã—ã¦ç™»éŒ²ã™ã‚‹. ãれ以外ã®å…¬ç†ã«ã¤ã„ã¦ã¯ システム実行中㫠demodulator ã¨ã•ã‚Œã‚‹ã®ã§, ã“ã®æ™‚点ã§çŸ¥ã‚‹äº‹ã¯å‡ºæ¥ãªã„. \end{description} \item[sos コマンド] ç¯€é›†åˆ SOS を設定ã™ã‚‹ãŸã‚ã®ã‚³ãƒžãƒ³ãƒ‰ï¼Žã‚らã‹ã˜ã‚ db reset ãŒå®Ÿè¡Œã•ã‚Œã¦ ã„ã‚‹å¿…è¦ãŒã‚る．構文ã¯ä¸‹ã®é€šã‚Šï¼š \begin{vvtm} \begin{simplev} ::= sos { = | + | - } <節集åˆ> \end{simplev} \end{vvtm} 第一引数ã®æ„味ã¯ä»¥ä¸‹ã®é€šã‚Šï¼š \begin{center} \begin{tabular}{|lcl|}\hline \texttt{=} &:& sos ã‚’ \texttt{<節集åˆ>}ã§æŒ‡å®šã•ã‚ŒãŸç¯€ã®é›†åˆã«è¨­å®šã™ã‚‹\\ \verb|+| &:& ç¾åœ¨ã® sos ã®å†…容㫠\texttt{<節集åˆ>}ã§æŒ‡å®šã•ã‚ŒãŸç¯€ã‚’加ãˆã‚‹\\ \verb|-| &:& ç¾åœ¨ã® sos ã‹ã‚‰ \texttt{<節集åˆ>} ã§æŒ‡å®šã•ã‚ŒãŸç¯€ã‚’削除ã™ã‚‹\\\hline \end{tabular} \end{center} ã¾ãŸ, \texttt{<節集åˆ>}ã®æ§‹æ–‡ã¯ä¸‹ã®é€šã‚Šã§ã‚る： \begin{vvtm} \begin{simplev} <節集åˆ> ::= '{' <節指定> { , <節指定> }* '}' \end{simplev} \end{vvtm} \texttt{<節指定>}ã¯ï¼Œå…¬ç†ãƒ©ãƒ™ãƒ«, 節識別å­ï¼Œã‚ã‚‹ã„ã¯\texttt{let}変数åã® ã„ãšã‚Œã‹ã§ã‚ã‚‹. å…¬ç†ãƒ©ãƒ™ãƒ«ã¯, CafeOBJ ã®å…¬ç†å®£è¨€ã§æŒ‡å®šã•ã‚ŒãŸ, å…¬ç†ã® ラベル. 節識別å­ã¯ã‚·ã‚¹ãƒ†ãƒ ãŒç¯€ã‚’生æˆã™ã‚‹éš›ã«ä¸Žãˆã‚‰ã‚Œã‚‹ã‚‚ã®ã§ã‚り，list axioms コマンド等ã«ã‚ˆã£ã¦çŸ¥ã‚‹äº‹ãŒã§ãる．let 変数åãŒæŒ‡å®šã•ã‚ŒãŸå ´åˆã¯ï¼Œ 指定ã®å¤‰æ•°ã«æŸç¸›ã•ã‚Œã¦ã„る項を節形å¼ã«å¤‰æ›ã—ãŸã‚‚ã®ãŒç”¨ã„られる． 節指定ã®è§£é‡ˆã¯, 次ã®è¦å‰‡ã«å¾“ã†ã‚‚ã®ã¨ã™ã‚‹: \begin{enumerate} \item 節指定ãŒæ•°å­—ã®å ´åˆ, ã“ã‚Œã¯ç¯€è­˜åˆ¥å­ã§ã‚ã‚‹ã¨è§£é‡ˆã™ã‚‹. \item æ•°å­—ã§ã¯ç„¡ã„å ´åˆ, ã¾ãšå…¬ç†ã®ãƒ©ãƒ™ãƒ«ã§ã‚ã‚‹ã¨è§£é‡ˆã™ã‚‹. \item 2 ã§è©²å½“ã™ã‚‹å…¬ç†ãŒä¸€ã¤ã‚‚ç„¡ã„å ´åˆã¯, let 変数åã§ã‚ã‚‹ã¨è§£é‡ˆã™ã‚‹. \end{enumerate} 上ã®ã„ãšã‚Œã®è§£é‡ˆã«ã‚ˆã£ã¦ã‚‚, 節ãŒè¦‹ä»˜ã‹ã‚‰ãªã„å ´åˆã¯ã‚¨ãƒ©ãƒ¼ã¨ã™ã‚‹. 節指定ã¨ã—ã¦å…¬ç†ã®ãƒ©ãƒ™ãƒ«ãŒæŒ‡å®šã•ã‚ŒãŸå ´åˆï¼ŒåŒã˜ãƒ©ãƒ™ãƒ«ã‚’æŒã£ãŸå…¬ç†ãŒ 複数存在ã™ã‚‹å ´åˆã¯ï¼Œãれらã®å…¬ç†å…¨ã¦ãŒæŒ‡å®šã•ã‚ŒãŸã‚‚ã®ã¨è§£é‡ˆã™ã‚‹ï¼Ž SOS 集åˆã¯åˆæœŸã«ã¯ç©ºã§ã‚り，ã¾ãŸ \texttt{db reset} ã‚’è¡Œã£ãŸæ™‚点ã§ç©º ã«è¨­å®šã•ã‚Œã‚‹ï¼Ž \texttt{sos}コマンドã®å®Ÿè¡Œã«ä¼´ã£ã¦ï¼Œusable 集åˆã®å†…容ãŒå‰¯ä½œç”¨ã¨ã—㦠決ã‚られる． ã¤ã¾ã‚Šï¼Œ\texttt{list axioms}ã§è¡¨ç¤ºã•ã‚Œã‚‹ç¯€ã‹ã‚‰ SOS 集åˆã®å†…容をå–ã‚Š 去ã£ãŸã‚‚ã®ãŒusable 集åˆã¨ã—ã¦è¨­å®šã•ã‚Œã‚‹ï¼Ž \item[resolve コマンド] åé§ã‚¨ãƒ³ã‚¸ãƒ³ã‚’èµ·å‹•ã™ã‚‹ãŸã‚ã®ã‚³ãƒžãƒ³ãƒ‰ï¼Ž 本コマンドを発ã™ã‚‹äº‹ã«ã‚ˆã£ã¦, åé§ã‚¨ãƒ³ã‚¸ãƒ³ã«ã‚ˆã‚‹å®šç†è¨¼æ˜Žãƒ—ロセス㌠開始ã•ã‚Œã‚‹. \begin{vvtm} \begin{simplev} ::= resolve {. | <ファイルå>} \end{simplev} \end{vvtm} 引数ãŒ\texttt{<ファイルå>}ã§æŒ‡å®šã•ã‚Œã‚‹ãƒ•ã‚¡ã‚¤ãƒ«ã¸ã®ãƒ‘スåã®å ´åˆã¯ï¼ŒæŒ‡ 定ã®ãƒ•ã‚¡ã‚¤ãƒ«ã¸å®Ÿè¡Œãƒ­ã‚°ãŒå‡ºåŠ›ï¼Žã“れ㌠`\texttt{.}' (ピリオド記å·)ã®å ´åˆã¯æ¨™æº–出力㸠ログãŒå‡ºåŠ›ã•ã‚Œã‚‹ï¼Ž \item[clause コマンド] 指定ã•ã‚ŒãŸé …ã‚’ Skolem 標準形ã®ç¯€å½¢å¼ã«å¤‰æ›ã—, çµæžœã‚’å°å­—ã™ã‚‹. 試験㮠ãŸã‚ã®ã‚³ãƒžãƒ³ãƒ‰ã§ã‚ã‚‹. \begin{vvtm} \begin{simplev} ::= clause <é …> . \end{simplev} \end{vvtm} \texttt{<é …>}ã¯ã‚½ãƒ¼ãƒˆ\texttt{FoplSentence}ã®é …ã§ãªã‘ã‚Œã°ãªã‚‰ãªã„．指定 ã®é …を節形å¼ã«å¤‰æ›ã—ã¦å°å­—ã™ã‚‹ï¼Ž \item[\texttt{show}/\texttt{describe} コマンド] 従æ¥ã®CafeOBJコマンド\texttt{show}ã¨\texttt{describe}ã‚’æ‹¡å¼µã—ãŸã‚‚ã®ã§ã‚ã‚‹. \begin{vvtm} \begin{simplev} ::= show <節ID> ::= describe <節ID> \end{simplev} \end{vvtm} ã©ã¡ã‚‰ã®å ´åˆã‚‚ \texttt{<節ID>}ã§æŒ‡å®šã•ã‚Œã‚‹ç¯€ã‚’å°å­—ã™ã‚‹ï¼Ž\texttt{<節ID>}ã¯ç¯€ã®è­˜åˆ¥å­ã§ã‚り， `\texttt{list axioms}' や，`\texttt{list sos}' ç­‰ã®ã‚³ãƒžãƒ³ãƒ‰ã§è¡¨ç¤ºã• れる内容ã‹ã‚‰çŸ¥ã‚‹ã“ã¨ãŒã§ãる． \texttt{describe}ã®å ´åˆã¯, 指定ã®ç¯€ãŒCafeOBJモジュールã®å…¬ç†ã‚’節形å¼ã« 変æ›ã—ã¦å¾—られãŸç¯€ã§ã‚ã£ãŸå ´åˆ, 対応ã™ã‚‹å…¬ç†ãŒã©ã‚Œã§ã‚ã‚‹ã‹ã®æƒ…報も ä½µã›ã¦å°å­—ã™ã‚‹. \item[\texttt{lex}コマンド] lrpo ã«ã‚ˆã‚‹é …ã®å¤§å°æ¯”較を行ã†éš›ã«ç”¨ã„られる演算å­ã®é †åºé–¢ä¿‚を定義ã™ã‚‹ ãŸã‚ã®ã‚³ãƒžãƒ³ãƒ‰ã§ã‚ã‚‹. ã“ã®ã‚³ãƒžãƒ³ãƒ‰ã«ã¤ã„ã¦ã¯, 第 \ref{sec:lex-command} 節ã§èª¬æ˜Žã™ã‚‹. \end{description} %%%%% \section{PigNose ã®ä¸€èˆ¬çš„ãªã‚¹ã‚¯ãƒªãƒ—ト構造} \label{sec:pignose-general-scheme} システムã®è©³ç´°ãªä½¿ç”¨æ³•ã¯å¼•ã続ãå„ç« ã§èª¬æ˜Žã•ã‚Œã‚‹ãŒ, ã“ã“ã§ã¯ç°¡å˜ãªä¾‹ã‚’示ã—ã¦å…¸åž‹çš„ãªä½¿ç”¨æ–¹æ³•ã«ã¤ã„ã¦è¿°ã¹ã‚‹. 下ã¯é€šå¸¸æƒ³å®šã•ã‚Œã‚‹å…¸åž‹çš„ãªä½¿ã„æ–¹ã®å¤§æž ã‚’示ã—ãŸã‚‚ã®ã§ã‚る： \begin{enumerate} \item[(1)] 検証対象ã¨ã™ã‚‹ãƒ¢ã‚¸ãƒ¥ãƒ¼ãƒ«ã‚’オープン\\ ã“ã‚Œã¯å®Ÿè¡Œæ–‡è„ˆã¨ãªã‚‹ãƒ¢ã‚¸ãƒ¥ãƒ¼ãƒ«ã‚’設定ã™ã‚‹ã®ãŒä¸»ç›®çš„ã§ã‚ã‚‹ãŒ, 証明を実行ã™ã‚‹éš›ã«ã¯, 通常付加的ãªã‚ªãƒšãƒ¬ãƒ¼ã‚¿ã‚„ å…¬ç†ç­‰ã®è¿½åŠ å®£è¨€ãŒè¡Œã‚れるã¨æƒ³å®šã•ã‚Œã‚‹. 例ãˆã°, 証明対象(ゴール)ã¨ã™ã‚‹ FOPL æ–‡ã¯, 追加公ç†ã¨ã—ã¦å‹•çš„ã«å®£è¨€ã•ã‚Œã‚‹ã“ã¨ãŒå¤šã„ã¨æ€ã‚れる. ã“ã®ãŸã‚ã«ã¯, オープン文を用ã„ã‚‹ã®ãŒä¾¿åˆ©ã§ã‚ã‚‹. \item[(2)] (å¿…è¦ã«å¿œã˜ã¦) \texttt{FOPL-CLAUSE} をインãƒãƒ¼ãƒˆ\\ 証明実行ã®æ–‡è„ˆã¨ãªã‚‹ãƒ¢ã‚¸ãƒ¥ãƒ¼ãƒ«ã®ã‚µãƒ–モジュールã«\texttt{FOPL-CLAUSE} ãŒæ—¢ã«è¼¸å…¥ã•ã‚Œã¦ã„ã‚‹ã®ã§ã‚ã‚Œã°, ã“ã‚Œã¯ä¸è¦ã§ã‚ã‚‹. \item[(3)] (å¿…è¦ã«å¿œã˜ã¦)オペレータや公ç†ç­‰ã®è¿½åŠ å®£è¨€\\ (1) ã§è¿°ã¹ãŸé€šã‚Š. \item[(4)] åé§ã‚¨ãƒ³ã‚¸ãƒ³ã®èµ·å‹• \begin{enumerate} \item[(4-1)] エンジンã®å®Ÿè¡Œç’°å¢ƒã®è¨­å®š\\ フラグ/パラメータã®è¨­å®šã‚’è¡Œã£ãŸã‚Š, マニュアルモードã®å ´åˆã¯, システムã®åˆæœŸåŒ–(db reset), SOS 節集åˆã®è¨­å®šç­‰ã‚’è¡Œã†. \item[(4-2)] 証明実行 \\ resolve コマンドを発行ã—, エンジンを起動ã™ã‚‹. \end{enumerate} \end{enumerate} 下ã«æ¥µã‚ã¦ç°¡å˜ãªä¾‹ã‚’示ã™. ã“ã“ã§ã¯è‡ªå‹•ãƒ¢ãƒ¼ãƒ‰ã‚’用ã„ãŸå ´åˆã¨, 手動ã§æŽ¨è«–ルールを 設定ã™ã‚‹å ´åˆã®2ã¤ã®ä¾‹ãŒç¤ºã•ã‚Œã¦ã„ã‚‹. ã„ãšã‚Œã‚‚å˜ç´”ãªä¾‹ã§ã‚ã‚‹ãŒ, 上ã§è¿°ã¹ãŸé€šå¸¸ã®å…¸åž‹çš„ã¨æ€ã‚れるスクリプトã®æ§‹é€ ã‚’å映ã—ãŸã‚‚ã®ã§ã‚ã‚‹. \begin{vvtm} \begin{examplev} -- FOPL-CLAUSE ãŒå¿…è¦ã«å¿œã˜ã¦è‡ªå‹•çš„ã«è¼¸å…¥ã•ã‚Œã‚‹ã‚ˆã†ã«è¨­å®šã™ã‚‹ set include FOPL-CLAUSE on -- module! TEST1 { [ Human < Life ] pred mortal : Life op Socrates : -> Human -- 生ã‚ã‚‹ã‚‚ã®ã¯æ­»ã™ ax \A[X:Life] mortal(X) . } **> 典型的ãªã‚¹ã‚¯ãƒªãƒ—ト構造 **> (1) 対象ã¨ã™ã‚‹ãƒ¢ã‚¸ãƒ¥ãƒ¼ãƒ«ã‚’オープンã™ã‚‹ open TEST1 **> (2) FOPL-CLAUSE ã¯æ—¢ã«è¼¸å…¥ã•ã‚Œã¦ã„ã‚‹ã®ã§æ”¹ã‚ã¦è¼¸å…¥ã™ã‚‹å¿…è¦ã¯ãªã„. **> (3) å¿…è¦ã«å¿œã˜ã¦å…¬ç†ãªã©ã®è¿½åŠ å®£è¨€ --> ã“ã“ã§ã¯è¨¼æ˜Žã—ãŸã„ã“ã¨ã‚’追加公ç†ã§å®£è¨€. --> ã“れ㯠ax ~ motal(Socrates) ã¨ç­‰ä¾¡. goal mortal(Socrates) . **> (4) åé§ã‚¨ãƒ³ã‚¸ãƒ³ã®èµ·å‹• **> (4-1) PigNose 実行環境ã®è¨­å®š --> オプション(フラグ/パラメータ)をリセット. --> 対話型ã®ã‚·ã‚¹ãƒ†ãƒ ãªã®ã§, option reset を習慣付ã‘ã‚‹ã“ã¨ãŒå¤§äº‹ option reset --> 自動モードã§å®Ÿè¡Œã™ã‚‹ **> auto mode flag(auto, on) -- **> ã“ã®ãƒ•ãƒ©ã‚°ã‚’セットã™ã‚‹ã¨æ²¢å±±ã®æƒ…å ±ãŒå‡ºåŠ›ã•ã‚Œã‚‹, try it! -- **> flag(very-verbose,on) --> 証明ã¯1ã¤ã§è‰¯ã„ param(max-proofs, 1) **> (4-2) 証明実行 --> エンジンを起動ã™ã‚‹ resolve . **> 文脈モジュールをクローズ : 後始末 close \end{examplev} \end{vvtm} 下ã¯ãƒžãƒ‹ãƒ¥ã‚¢ãƒ«ãƒ¢ãƒ¼ãƒ‰ã®å ´åˆã§ã‚ã‚‹. 例題ã¯ä¸Šã®ã‚ªãƒ¼ãƒˆãƒ¢ãƒ¼ãƒ‰ã®å ´åˆã¨åŒã˜ TEST1 を想定ã—ã¦ã„ã‚‹. \begin{vvtm} \begin{examplev} **> 次ã¯ãƒžãƒ‹ãƒ¥ã‚¢ãƒ«ãƒ¢ãƒ¼ãƒ‰ã«ã‚ˆã‚‹ä¾‹ ***************************** **> manual mode **> フラグ/パラメータをåˆæœŸçŠ¶æ…‹ã«æˆ»ã™ option reset **> 文脈モジュールをオープンã™ã‚‹ open TEST1 **> 証明ã—ãŸã„文を宣言：今度ã¯å…¬ç†ã«ãƒ©ãƒ™ãƒ«ã‚’指定ã—ã¦ã„ã‚‹ -- goal[GOAL]: mortal(Socrates) . **> マニュアルモードãªã®ã§, システムã®åˆæœŸåŒ–を陽ã«å®Ÿè¡Œã™ã‚‹ **> å¿…è¦ãŒã‚ã‚‹ db reset **> SOS 節集åˆã®è¨­å®š sos = {GOAL} **> 推論ルールã¨ã—㦠negative hyper resolution ã‚’ **> 用ã„ã‚‹ flag(neg-hyper-res, on) **> エンジンã®èµ·å‹• resolve . **> 文脈モジュールã®ã‚¯ãƒ­ãƒ¼ã‚º close \end{examplev} \end{vvtm} %%%%% \section{節ã®å°å­—å½¢å¼} \label{sec:print-clause} システム実行中, ã‚ã‚‹ã„ã¯ã‚³ãƒžãƒ³ãƒ‰ã«ã‚ˆã£ã¦ ã•ã¾ã–ã¾ãªæƒ…å ±ã®è¡¨ç¤ºã‚„証明木ã®å°å­—ãªã©ã§ç¯€ãŒå°å­—ã•ã‚Œã‚‹. システムã®å‹•ä½œã‚’見ãŸã‚Š, çµæžœã‚’調ã¹ã‚‹ãŸã‚ã«ã¯ç¯€ã®å°å­—å½¢å¼ã«ä»˜ã„㦠知ã£ã¦ãŠãå¿…è¦ãŒã‚ã‚‹. \subsection{節表示ã®ä¸€èˆ¬å½¢å¼} 一般ã«ç¯€ã¯æ¬¡ã®ã‚ˆã†ãªå½¢å¼ã§è¡¨ç¤ºã•ã‚Œã‚‹. \begin{vvtm} \begin{simplev} <節番å·>:[<導出履歴>] FOPLæ–‡ \end{simplev} \end{vvtm} ã“ã“ã§, \texttt{<節番å·>} ã¯ã‚·ã‚¹ãƒ†ãƒ ãŒç¯€ã«è‡ªå‹•çš„ã«å‰²ã‚Šä»˜ã‘る自然数ã§ã‚ã‚‹. 対象ã¨ã™ã‚‹ãƒ¢ã‚¸ãƒ¥ãƒ¼ãƒ«ã«å«ã¾ã‚Œã‚‹æœ€åˆã®å…¬ç†ã‹ã‚‰å¾—られãŸæœ€åˆã®ç¯€ã«å¯¾ã—㦠番å·1ãŒå‰²ã‚Šä»˜ã‘られ, 以é™é †æ¬¡1ãšã¤ç¯€ç•ªå·ãŒå¢—ã‚„ã•ã‚Œã¦è¡Œã. 導出節ã¯, モジュールã®å…¬ç†ã‹ã‚‰ $n$ 個ã®ç¯€ãŒå¾—られãŸã¨ã™ã‚‹ã¨, ç¯€ç•ªå· $n+1$ ã‹ã‚‰å‰²ã‚ŠæŒ¯ã‚‰ã‚Œã‚‹. ã—ãŸãŒã£ã¦ç¯€ç•ªå·ã®å¤§ããªå°Žå‡ºç¯€ç¨‹, æ–°ã—ã生æˆã•ã‚ŒãŸç¯€ã¨è¨€ã†äº‹ã«ãªã‚‹. 節番å·ã®æ¬¡ã«ã¯ã‹ãŽã‹ã£ã“ã§ããられãŸ\texttt{<導出履歴}ãŒè¡¨ç¤ºã•ã‚Œã‚‹. ã“ã‚Œã¯ãã®ç¯€ãŒã©ã®ã‚ˆã†ãªæŽ¨è«–ルール, ã‚ã‚‹ã„ã¯å†…部処ç†ã«ã‚ˆã‚Šç”Ÿæˆ ã•ã‚ŒãŸã‹ã‚’示ã™ã‚‚ã®ã§ã‚ã‚‹. 導出履歴ã®å…·ä½“çš„ãªå†…容ã«ã¤ã„ã¦ã¯ 第\ref{sec:proof-tree}ç« ã‚’å‚ç…§ã•ã‚ŒãŸã„. 一般ã«ãƒ¢ã‚¸ãƒ¥ãƒ¼ãƒ«ã®å…¬ç†ã‹ã‚‰å¾—られãŸç¯€ã¯, 導出履歴ãŒç©ºã§ã‚ã‚‹ã‹ã‚‰ \texttt{[]} ã¨è¡¨ç¤ºã•ã‚Œã‚‹. 但ã—, back demodulation ç­‰ã«ã‚ˆã£ã¦ 書ãæ›ãˆã‚‰ã‚Œã‚‹å ´åˆã‚‚ã‚ã‚Š, ã“ã®å ´åˆãれらã«å¯¾å¿œã—ãŸå°Žå‡ºå±¥æ­´ãŒ 表示ã•ã‚Œã‚‹ã®ã§, å¿…ãšã—ã‚‚ãã†ã¨ã¯è¨€ãˆãªã„. 最後ã«ç¯€ã® FOPL æ–‡ãŒè¡¨ç¤ºã•ã‚Œã‚‹. リテラル㌠2 個以上ã‚ã‚‹å ´åˆã¯, ãれらãŒè«–ç†å’Œ(\verb:|:)ã§ç¹‹ã„ã§è¡¨ç¤ºã•ã‚Œã‚‹. \subsection{Skolem 関数ã®è¡¨ç¤ºå½¢å¼} FOPL æ–‡ã‹ã‚‰ç¯€å½¢å¼ã¸å¤‰æ›ã•ã‚Œã‚‹å ´åˆ, 存在é™é‡å­ãŒã‚ã£ãŸå ´åˆã« Skolem 関数ãŒè‡ªå‹•ç”Ÿæˆã•ã‚Œã‚‹. ã“ã®è¡¨ç¤ºã®ä¸€èˆ¬å½¢å¼ã¯æ¬¡ã®é€šã‚Šã§ã‚る： \begin{vvtm} \begin{simplev} 定数ã®å ´åˆ ： #c-.<ソート> 引数をæŒã¤å ´åˆï¼š #f-.<ソート> \end{simplev} \end{vvtm} ã“ã“ã§\texttt{} ã¯è‡ªç„¶æ•°ã§ã‚りシステムãŒé©å½“ã«å‰²ã‚Šä»˜ã‘ã‚‹. ã¾ãŸ\texttt{<ソート>}ã¯é–¢æ•°ã®å€¤ã‚½ãƒ¼ãƒˆã®åå‰ã§ã‚ã‚‹. \subsection{変数} システムãŒç¯€ã‚’処ç†ã™ã‚‹éš›ã«ã¯, 変数åã®ä»˜ã‘替ãˆå‡¦ç†ãŒ æ–½ã•ã‚Œã‚‹. ã—ãŸãŒã£ã¦, 利用者ãŒå…¬ç†ã¨ã—ã¦è¨˜è¿°ã—ãŸæ–‡ã« ã‚ã£ãŸå¤‰æ•°ã¨ã¯ç•°ãªã‚‹å¤‰æ•°åãŒä¸Žãˆã‚‰ã‚Œã‚‹. システムãŒç”Ÿæˆã—ãŸå¤‰æ•°ã¯, 次ã®ã‚ˆã†ãªåå‰ã«ãªã‚‹ï¼š \begin{vvtm} \begin{simplev} _V \end{simplev} \end{vvtm} ã“ã“ã§\texttt{}ã¯ã‚·ã‚¹ãƒ†ãƒ ãŒè‡ªå‹•ã§å‰²ã‚ŠæŒ¯ã‚‹è‡ªç„¶æ•°ã§ã‚ã‚‹. \subsection{節ã®å°å­—例} 実際ã®ç¯€ã®è¡¨ç¤ºä¾‹ã‚’å¹¾ã¤ã‹ç¤ºã™. 下ã®ä¾‹ã§, 1 ãŒç¯€ç•ªå·ã§ã‚ã‚‹. 導出ã•ã‚ŒãŸç¯€ã§ã¯ãªã, 入力節ã®ãŸã‚ 導出履歴ã®æ¬„ã¯ç©º(\texttt{[]})ã¨ãªã£ã¦ã„ã‚‹. 続ã„ã¦ç¯€ã‚’構æˆã™ã‚‹ リテラルãŒè¡¨ç¤ºã•ã‚Œã¦ã„ã‚‹. ã“ã®å ´åˆã¯å˜ä¸€ç¯€ã§, リテラルã¯ä¸€ã¤ã§ã‚ã‚‹. \texttt{\#c-1.Account} ã¯ã‚·ã‚¹ãƒ†ãƒ ãŒç”Ÿæˆã—㟠Skolem 定数ã§ã‚ã‚‹. \begin{vvtm} \begin{simplev} 1:[] 0 <= balance(#c-1.Account) \end{simplev} \end{vvtm} 次ã®ä¾‹(節126)ã‚‚å˜ä¸€ç¯€ã®è¡¨ç¤ºä¾‹ã§ã‚ã‚‹ãŒ, 導出項ã§ã‚ã‚Š 導出履歴欄ãŒè¡¨ç¤ºã•ã‚Œã¦ã„ã‚‹. ã“ã®ä¾‹ã®å ´åˆã¯ \texttt{para-from}ã«ã‚ˆã‚‹ paramodulation from 推論ルール ã«ç¶šã„ã¦, \texttt{unit-del}ã«ã‚ˆã‚‹ unit deletion ãŒæ–½ã•ã‚ŒãŸã“ã¨ãŒè§£ã‚‹. para-from ã«é–¢ã—ã¦ã¯, 節 7 ㌠paramodulator ã§ã‚ã‚Š, ã“ã‚ŒãŒç¯€ 2 ã«é©ç”¨ã•ã‚ŒãŸã“ã¨ãŒè§£ã‚‹. 次ã„㧠節 1 ã«ã‚ˆã‚‹ unit deletion ㌠実行ã•ã‚Œ, çµæžœã¨ã—ã¦ã“ã®ç¯€ãŒå‡ºæ¥ãŸ. ãªãŠ, 導出履歴欄ã«ã¤ã„ã¦ã¯, 第~\ref{sec:proof-tree}ç« ã§èª¬æ˜Žã™ã‚‹. \begin{vvtm} \begin{simplev} 126:[para-from:7,2,unit-del:1] #c-1.Int <= balance(#c-1.Account) \end{simplev} \end{vvtm} 下ã¯2ã¤ã®ãƒªãƒ†ãƒ©ãƒ«ã‹ã‚‰æ§‹æˆã•ã‚Œã‚‹ç¯€ã®è¡¨ç¤ºä¾‹ã§ã‚ã‚‹. å„リテラルãŒè«–ç†å’Œ(\verb:|:)ã§çµåˆã•ã‚Œã¦è¡¨ç¤ºã•ã‚Œã¦ã„ã‚‹. \texttt{\_vxx} ã¯ã‚·ã‚¹ãƒ†ãƒ ãŒç”Ÿæˆã—ãŸå¤‰æ•°ã§ã‚ã‚‹. \begin{vvtm} \begin{simplev} 10:[] ~(_v45:Int <= _v44:Int) | 0 <= (_v44:Int - _v45:Int) \end{simplev} \end{vvtm} %%%%%%%%%%%%% \section{推論プロセスã®æ¦‚è¦} \label{sec:infer-process} \subsection{証明戦略 -- SOS} \label{sec:sos-strategy} åé§ã‚¨ãƒ³ã‚¸ãƒ³ã®æŽ¨è«–機構ã®åŸºæœ¬ã¯ {\em given-clause} アルゴリズムã§ã‚ã‚Š (\cite{otter})ã“ã‚Œã¯, \textbf{SOS}(Set Of Support) 戦略方å¼ã®ç°¡å˜ãªå®Ÿè£…ã®ä¸€ç¨®ã¨è¦‹ã‚‹äº‹ãŒ ã§ãã‚‹(\cite{chang-lee}). ã“ã®æˆ¦ç•¥ã®è€ƒãˆæ–¹ã‚’以下ã«æ¦‚説ã™ã‚‹. $A_1,\ldots A_n$ ã‚’å‰æ，$B$ ã‚’çµè«–ã¨ã™ã‚‹ã¨, PigNose 㯠\[ A_1,A_2,\ldots,A_n \rightarrow B\] を証明ã™ã‚‹ãŸã‚ã«åé§æ³•ã‚’用ã„， \[A_1\land A_2\cdots\land A_n\land 〜B\] ãŒå……足ä¸å¯èƒ½ã§ã‚る事を示ãã†ã¨ã™ã‚‹. ãã®éš›, å…¨ã¦ã® FOPL 文を節形å¼ã«ã—, resolution 原ç†ã«åŸºã¥ã„ã¦ç¯€ã‚’導出㗠ã¦è¡Œã. ãã®éŽç¨‹ã§ç©ºç¯€ãŒå¾—られれã°åé§ã•ã‚ŒãŸã¨åˆ¤å®šã•ã‚Œã‚‹ãŒ, ã“ã®ã¨ã，通 常å‰æã¯ç„¡çŸ›ç›¾ã¨ã¿ãªã™ã®ã§ $A_1,A_2\ldots, A_n$ ã¯å……足å¯èƒ½ã¨ä»®å®šã™ã‚‹ã¨, $A_1,A_2,\ldots, A_n$ ã®é–“ã§ï¼Œç¯€ã®å°Žå‡ºã‚’è¡Œã†ã®ã¯ç„¡é§„ã§ã‚ã‚‹. ã“ã®ã‚¢ã‚¤ãƒ‡ アをよりç©æ¥µçš„ã«åˆ©ç”¨ã™ã‚‹ã®ãŒ SOS 戦略ã§ã‚ã‚‹. 節ã®é›†åˆ $S$ ã®éƒ¨åˆ†é›†åˆ $T$ 㯠$S - T$ ãŒå……足å¯èƒ½ã§ã‚る時ã«ï¼Œ$S$ ã® \textit{set of support} ã¨å‘¼ã°ã‚Œã‚‹ï¼Ž PigNose ã®å ´åˆ, ç¯€é›†åˆ $S$ ã¯é€šå¸¸æ–‡è„ˆãƒ¢ã‚¸ãƒ¥ãƒ¼ãƒ«ã§å®£è¨€ã•ã‚ŒãŸå…¬ç†ã®é›†åˆã« 対応ã™ã‚‹. \textit{set-of-support 導出} ã¨ã¯ï¼Œã©ã¡ã‚‰ã‹ã®ç¯€ãŒ $T$ ã«å±žã™ã‚‹ よã†ãª2ã¤ã®ç¯€ã‹ã‚‰ã®å°Žå‡ºã‚’言ã†ï¼Žã¾ãŸï¼Œå…¨ã¦ã®å°Žå‡ºãŒ set of support 導出㧠ã‚るよã†ãªæ¼”繹㯠\textit{set-of-support 演繹} ã¨å‘¼ã°ã‚Œã‚‹ï¼Ž SOS 戦略ã«é–¢ã—ã¦ã¯æ¬¡ã®å®šç†ãŒæˆã‚Šç«‹ã¤\cite{chang-lee}: \begin{quotation} $S$ を有é™ã®å……足ä¸èƒ½ã§ã‚るよã†ãªç¯€ã®é›†åˆã¨ã—，$T$ ã‚’ $S$ ã®éƒ¨åˆ†é›†åˆ ã¨ã™ã‚‹ï¼Žã‚‚ã— $S - T$ ãŒå……足å¯èƒ½ã¨ã™ã‚‹ã¨ï¼Œ$T$ ã‚’ set of support ã¨ã—㦠$S$ ã‹ã‚‰ç©ºç¯€ã‚’導出ã™ã‚‹ã‚ˆã†ãª set of support 演繹ãŒå­˜åœ¨ã™ã‚‹ï¼Ž \end{quotation} PigNose ã§ã¯ç¯€ã®é›†åˆã‚’下ã®ã‚ˆã†ãª \textbf{usable} 㨠\textbf{sos} ã¨å‘¼ã° れる2ã¤ã«åˆ†ã‘，導出節ã®ç”Ÿæˆã‚’ sos ã‹ã‚‰å–り出ã—ãŸç¯€ã¨ usable ã«å«ã¾ã‚Œã‚‹ç¯€ ã¨ã®é–“ã§ã®ã¿è¡Œã†ã‚ˆã†ã«ã™ã‚‹ï¼Žsos ãŒä¸Šã®èª¬æ˜Žã®ç¯€é›†åˆ $T$ (set of support) ã«å¯¾å¿œã™ã‚‹ã“ã¨ã«ãªã‚‹. \begin{center} \begin{tabular}{|lcl|}\hline usable &:& 推論(resolution)ã‚’è¡Œã†éš›ã«ä½¿ç”¨ã•ã‚Œã‚‹ç¯€ã®é›†åˆï¼Ž\\ sos &:& 推論ã«ã¯ä½¿ç”¨ã•ã‚Œãªã„節ã®é›†åˆï¼Ž\\\hline \end{tabular} \end{center} システムã¯, ã“ã®ã‚ˆã†ã«ã—ã¦åˆ†å‰²ã•ã‚ŒãŸ sos 節集åˆã‹ã‚‰ç¯€ã‚’一ã¤å–り出ã—㦠usable ã«å…¥ã‚Œ, ã“ã®ç¯€ã¨å…ƒã€… usable ã«å«ã¾ã‚Œã¦ã„ãŸç¯€ã¨ã®é–“ã§å°Žå‡ºã‚’è¡Œã†. 導出ã•ã‚ŒãŸç¯€ã¯, sos ã¸å…¥ã‚Œã‚‰ã‚Œä»¥é™ã®æŽ¨è«–ã«ç”¨ã„られる. ã“ã®æ–¹å¼ã§ã¯, 利用者ãŒç¯€ã®é›†åˆã‚’ sos 㨠usable ã®ã©ã¡ã‚‰ã‹ã«æŒ¯ã‚Šåˆ†ã‘ã‚‹å¿… è¦ãŒã‚ã‚‹ãŒ, 通常ã¯, 証明対象ã¨ã™ã‚‹ã‚‚ã®ã‚’ sos ã«å…¥ã‚Œã‚Œã°è‰¯ã„. 後述ã™ã‚‹è‡ªå‹•ãƒ¢ãƒ¼ãƒ‰ã§ã¯ï¼Œå…¥åŠ›ç¯€ã®ã†ã¡ï¼Œæ­£ã®ç¯€(æ­£ã®ãƒªãƒ†ãƒ©ãƒ«ã®ã¿ã‹ã‚‰ãªã‚‹ç¯€ )ã‚’ sos ã¸å…¥ã‚Œï¼Œãれ以外ã®ç¯€(å°‘ãªãã¨ã‚‚一ã¤ã®è² ã®ãƒªãƒ†ãƒ©ãƒ«ã‚’å«ã‚€ç¯€) 㯠usable ã¸å…¥ã‚Œã‚‹ã‚ˆã†ã«è¨­å®šã•ã‚Œã¦ã„る．ã“ã®å ´åˆ, 上ã®å®šç¾©ã§è¨€ãˆã° \paragraph{SOS æ–¹å¼ã«ã‚ˆã‚‹å°Žå‡ºã®ä¾‹} 以下ã®ç¯€ã®é›†åˆã‚’考ãˆã‚‹ï¼Ž $$ \begin{array}{ll} (1) & P(g(x_1,y_1),x_i,y_1) \\ (2) & 〜P(x_2,h(x_2,y_2),y_2) \\ (3) & 〜P(x_3,y_2,u_3)\lor P(y_3,z_3,v_3)\lor 〜P(x_3,v_3,w_3) \lor P(u_3,z_3,w_3) \\ (4) & 〜P(k(x_4),x_4,k(x_4)). \end{array} $$ sos $= \{(4)\}$ ã¨ã™ã‚‹ï¼Žå¾“ã£ã¦ usable $= \{(1),(2),(3)\}$ ã§ã‚る． ã“ã®ã¨ã以下ã«ç¤ºã™æ¼”繹㯠sos ã‚’ set of support ã¨ã™ã‚‹ set-of-support 演繹ã§ã‚る： $$ \begin{array}{lll} (5) 〜P(x_3,y_3,k(z_3))\lor P(y_3,z_3,v_3)\lor 〜P(x_3,v_3,k(z_3)) & \makebox{(4) 㨠(3)} \\ (6) 〜P(x_3,y_3,k(h(y_e,v_3))\lor 〜P(x_3,v_3,k(h(y_3,v_3))) & \makebox{(5) 㨠(2)} \\ (7) \makebox{â–¡} & \makebox{(6) 㨠(1)} \end{array} $$ \subsection{推論プロセスã®ä¸»ãƒ«ãƒ¼ãƒ—} \label{sec:main-loop} å‰ç¯€ã§åé§ã‚¨ãƒ³ã‚¸ãƒ³ã¯ sos 戦略ã§æŽ¨è«–ã‚’è¡Œã†ã“ã¨ã‚’è¿°ã¹ãŸãŒï¼Œ ã“ã®æ–¹å¼ã«ã‚ˆã‚‹æŽ¨è«–プロセスã®ä¸»ãƒ«ãƒ¼ãƒ—ã®æ¦‚è¦ã¯æ¬¡ã®ã‚ˆã†ã«ãªã‚‹ï¼š %\begin{simplev}%[fontfamily=helvetica] \begin{verbatim} while (sos ãŒç©ºã§ãªã，ã‹ã¤ç©ºç¯€ãŒå°Žå‡ºã•ã‚Œã¦ã„ãªã„) (1) sos ã‹ã‚‰`節を一ã¤é¸'ã³ï¼Œã“れを given-clause ã¨å‘¼ã¶. (2) given-clause ã‚’ sos ã‹ã‚‰ usable 㫠移ã™. (3) `ç¾åœ¨æœ‰åŠ¹ãªæŽ¨è«–ルール群'を用ã„ã¦å°Žå‡ºç¯€ã‚’生æˆã™ã‚‹. æ–°ãŸã«ç”Ÿæˆã•ã‚Œã‚‹ç¯€ã¯ï¼Œgiven-clause を一方ã®è¦ªã¨ã—ã¦æŒã¡ï¼Œ ä»–ã®è¦ªã¯ usable ã«å«ã¾ã‚Œã‚‹ç¯€ã§ã‚る． (4) æ–°ãŸã«ç”Ÿæˆã•ã‚ŒãŸç¯€ã«å¯¾ã—ã¦ï¼Œ`有用性ã®æ¤œæŸ»'ã‚’è¡Œã†ï¼Ž ã“れをパスã—ãŸç¯€ã¯ sos ã¸åŠ ãˆï¼Œãã†ã§ãªã„節ã¯æ¨ã¦ã‚‹ï¼Ž end \end{verbatim} %\end{simplev} ã“ã®æŽ¨è«–プロセスã®ä¸»ãƒ«ãƒ¼ãƒ—ã®è©³ç´°ã¯å¾Œã§èª¬æ˜Žã™ã‚‹ãŒ, 次ã®ã‚ˆã†ãªå†—長性ãŒé¿ã‘ られã¦ã„ã‚‹ã“ã¨ã«æ³¨æ„ã•ã‚ŒãŸã„： 例ãˆã°, 節 $C$ ㌠節 $A$ 㨠$B$ ã‹ã‚‰å°Žå‡ºã™ã‚‹ã“ã¨ãŒå‡ºæ¥, ã¾ãŸ $A$ 㨠$B$ ã®ä¸¡æ–¹ãŒ sos ã«å«ã¾ã‚Œã¦ã„ã‚‹ã‚‚ã®ä»®å®šã™ã‚‹. ã‚‚ã— $A$ ㌠given clause 㨠ã—ã¦é¸æŠžã•ã‚Œã‚‹ã¨, 上ã®å‡¦ç†æ¦‚è¦ã§è¿°ã¹ãŸé€šã‚Š, ã“れ㯠usable ã¸ç§»ã•ã‚Œã¦, 推 è«–ãŒå®Ÿè¡Œã•ã‚Œã‚‹. ã—ã‹ã—, $A$ 㨠$B$ ã¨ã§ $C$ を導出ã™ã‚‹ã“ã¨ã¯\textbf{ãªã„ }. ãªãœãªã‚‰, $B$ ã¯æœªã  sos ã«ã‚ã‚‹ã‹ã‚‰ã§ã‚ã‚‹. $C$ ã®å°Žå‡ºã«ã¯, $B$ ㌠given clause ã¨ã—ã¦é¸ã°ã‚Œã‚‹ã¾ã§å¾…ãŸã­ã°ãªã‚‰ãªã„. ã•ã‚‚ãªã‘ã‚Œã°, $C$ ãŒ2度 導出ã•ã‚Œã‚‹ã“ã¨ã«ãªã£ã¦ã—ã¾ã†ã‹ã‚‰ã§ã‚ã‚‹. \begin{description} \item[sos ã‹ã‚‰ `節を一ã¤é¸' ã¶æ–¹æ³•] 利用者ãŒãƒ•ãƒ©ã‚°ã«ã‚ˆã£ã¦è¨­å®šã™ã‚‹ï¼Ž åé§ã‚¨ãƒ³ã‚¸ãƒ³ã«ã¯æŽ¨è«–プロセスã®å‹•ä½œã‚’制御ã™ã‚‹ãŸã‚ã«ï¼Œã•ã¾ã–ã¾ãªãƒ•ãƒ©ã‚°ãŒ 用æ„ã•ã‚Œã¦ãŠã‚Šï¼Œ given-clause ã®é¸æŠžæ–¹æ³•ã‚‚ãã®ä¸€ã¤ã§ã‚り，下ã®2ã¤ãƒ•ãƒ© ã‚°ã¯ã“ã‚Œã«é–¢ä¿‚ã™ã‚‹ã‚‚ã®ã§ã‚る： \begin{center} \begin{tabular}{|lcl|}\hline sos-queue &:& sos を先入れ先出ã—構造(queue)ã¨è¦‹ã¦ç¯€ã®é¸æŠžã‚’è¡Œã†\\ sos-stack &:& sos を先入れ後出ã—構造(stack)ã¨è¦‹ã¦ç¯€ã®é¸æŠžã‚’è¡Œã†\\\hline \end{tabular} \end{center} sos-queue ã®å ´åˆã¯å¹…優先ã®æŽ¢ç´¢, sos-stack ã®å ´åˆã¯æ·±ã•å„ªå…ˆã®æŽ¢ç´¢ã«ç›¸å½“ ã™ã‚‹. ã“れらã®ã„ãšã‚Œã®ãƒ•ãƒ©ã‚°ã‚‚ off ã®å ´åˆã¯ï¼Œ`最も軽ã„節' ã‚’é¸æŠžã™ã‚‹ï¼Ž 節ã®é‡ã¿ã¨ã¯ å…¨ã¦ã®ãƒªãƒ†ãƒ©ãƒ«ã«å«ã¾ã‚Œã‚‹æ¼”ç®—å­ã‚„変数ã®æ•°ã‚’åˆè¨ˆã—ãŸã‚‚ã®ã§ ã‚る．åˆæœŸã«ã¯ã“ れらã®ãƒ•ãƒ©ã‚°ã¯ã©ã¡ã‚‰ã‚‚ off ã«è¨­å®šã•ã‚Œã¦ãŠã‚Šï¼Œã—ãŸãŒã£ ã¦ç¯€ã®é‡ã¿ã«ã‚ˆã£ã¦ given-clause ãŒé¸æŠžã•ã‚Œã‚‹ï¼Ž é‡ã¿ã§ã® given-clause ã®é¸æŠžã«é–¢ã—ã¦ã¯, 実際ã«ã¯ã‚‚ã†å°‘ã—ç´°ã‹ãªåˆ¶å¾¡ãŒãª ã•ã‚Œã‚‹. ã™ãªã‚ã¡, pick-given-ratio ã¨ã„ã†ãƒ‘ラメータãŒå­˜åœ¨ã—, ã“ã‚Œã«æ­£ ã®æ•´æ•°å€¤ $n$ ãŒè¨­å®šã•ã‚Œã¦ã„ãŸå ´åˆã¯, sos ã‹ã‚‰ã®å–り出㗠$n$ 回目毎(最 åˆã‚’å«ã‚€)ã«, é‡ã•ã‚’無視ã—ã¦, sos ã®å…ˆé ­ã‹ã‚‰ç¯€ã‚’å–り出ã™. ã“れを行ã‚㪠ã„ã¨, ã„ã¤ã¾ã§ãŸã£ã¦ã‚‚, åˆæœŸã® sos ã«æ ¼ç´ã•ã‚Œã¦ã„ãŸç¯€ã‹ã‚‰ã®å°Žå‡ºç¯€ãŒç”Ÿ æˆã•ã‚Œãªã„, ã¨ã„ã†äº‹æ…‹ã«é™¥ã‚‹å¯èƒ½æ€§ãŒã‚ã‚‹ã‹ã‚‰ã§ã‚ã‚‹. given clause ã®é¸æŠžã«é–¢ä¿‚ã™ã‚‹ãã®ä»–ã®ãƒ•ãƒ©ã‚°ã«ã¤ã„ã¦ã¯, 第~\ref{sec:loop-flags} 節をå‚ç…§ã•ã‚ŒãŸã„. \item [`ç¾åœ¨æœ‰åŠ¹ãªæŽ¨è«–ルール群'] å‰ç¯€ã§è¿°ã¹ãŸé€šã‚Šï¼Œåé§ã‚¨ãƒ³ã‚¸ãƒ³ã«ã¯ 複数ã®æŽ¨è«–ルールãŒç”¨æ„ã•ã‚Œã¦ãŠã‚Šï¼Œåˆ©ç”¨è€…ãŒãƒ•ãƒ©ã‚°ã«ã‚ˆã£ã¦ä½¿ç”¨ã—ãŸã„推論 ルールを設定ã™ã‚‹ï¼Žã“ã‚Œã«ã¯ä»¥ä¸‹ã®ç¨®é¡žãŒã‚ã‚‹: \begin{center} \begin{tabular}{|lcl|}\hline フラグå &:& 推論ルール \\\hline auto &:& 自動モード\\ auto3 &:& 自動モード \\ binary-res &:& binary resolution \\ hyper-res &:& hyper resolution \\ neg-hyper-res &:& negative hyper resolution \\ para-into &:& paramodulation into \\ para-from &:& paramodulation from \\\hline \end{tabular} \end{center} ã“れらã®ãƒ•ãƒ©ã‚°ã®åˆæœŸå€¤ã¯å…¨ã¦ off ã§ã‚り，ã—ãŸãŒã£ã¦æŽ¨è«–ルールã¯é¸æŠžã•ã‚Œ ã¦ã„ãªã„．複数ã®ãƒ«ãƒ¼ãƒ«ã‚’åŒæ™‚ã«ä½¿ç”¨ã™ã‚‹äº‹ãŒå¯èƒ½ã§ã‚る．自動モードã§ã¯ï¼Œ 入力節ã®é›†åˆã«å¯¾ã—ã¦ï¼Œç°¡å˜ãªæ§‹æ–‡çš„検査を行ã„，é©å½“ãªæŽ¨è«–ルールã®ã‚»ãƒƒãƒˆã‚’ é¸æŠžã™ã‚‹(第\ref{sec:auto-mode}節をå‚ç…§). 上ã«ç¤ºã—ãŸãƒ•ãƒ©ã‚°ã¨åˆã‚ã›ã¦, 推論ルールã®é¸æŠžã«é–¢ä¿‚ã™ã‚‹ãƒ•ãƒ©ã‚°ã¯, 第~\ref{sec:inf-flags} ã§èª¬æ˜Žã•ã‚Œã¦ã„ã‚‹. \item[導出節ã®å‡¦ç†] 導出節ã«å¯¾ã—ã¦ã¯, 以下ã§ç¤ºã™å‡¦ç†ãŒæ–½ã•ã‚Œã‚‹. 上ã®æ¦‚è¦ã§ç¤ºã—㟠`有用性ã®ãƒ†ã‚¹ãƒˆ' ã¯ã“ã‚Œã«å«ã¾ã‚Œã‚‹ã‚‚ã®ã§ã‚ã‚‹. 下ã§, ステップã®ç•ªå·ã« * å°ã®ã¤ã„ã¦ã„ã‚‹ã‚‚ã®ã¯ã‚ªãƒ—ションã§ã‚ã‚Š, フラグã®å€¤ã«ä¾å­˜ã—ã¦å®Ÿè¡Œã™ã‚‹ã‹å¦ã‹ãŒæ±ºå®šã•ã‚Œã‚‹. \begin{enumerate} \item[1] 変数をユニークãªã‚‚ã®ã«ã¤ã‘替ãˆã‚‹ \item[*2] 導出節をå°å­—ã™ã‚‹ \item[3] demodulation を施㙠\item[*4] ç­‰å¼ã®å‘ã付ã‘を行ㆠ\item[*5] unit deletion を施㙠\item[6] åŒä¸€ã®ãƒªãƒ†ãƒ©ãƒ«ã‚’マージã™ã‚‹ \item[*7] factor-simplification を施㙠\item[8] tautology ã ã£ãŸå ´åˆã¯æ¨ã¦ã¦, 処ç†ã‚’終る \item[*9] 節ãŒé‡ã™ãŽã‚‹å ´åˆã¯æ¨ã¦ã¦, 処ç†ã‚’終る \item[*10] リテラルをソートã™ã‚‹ \item[11] usable ã‚ã‚‹ã„㯠sos ã«å«ã¾ã‚Œã‚‹ç¯€ã«ã‚ˆã£ã¦ subsume ã•ã‚Œã‚‹ å ´åˆã¯æ¨ã¦ã¦, 処ç†ã‚’終る(forward subsumption). \item[12] 索引テーブルã«ç™»éŒ²ã— sos ã«è¿½åŠ ã™ã‚‹ \item[*13] 追加ã•ã‚ŒãŸç¯€ã‚’å°å­—ã™ã‚‹ \item[14] リテラルを一個もå«ã¾ãªã„節ã§ã‚ã‚Œã°, åé§ãŒç™ºè¦‹ã•ã‚ŒãŸ. \item[15] 一個ã®ãƒªãƒ†ãƒ©ãƒ«ã‚’å«ã‚€ç¯€(å˜ä¸€ç¯€)ã§ã‚ã‚‹å ´åˆã¯, usable 㨠sos ã«å«ã¾ã‚Œã‚‹ç¯€ã¨ã®é–“ã§, ãã‚Œã¨åé§ã™ã‚‹ã‚ˆã†ãªç¯€ã‚’探㙠(unit conflict). \item[*16] åé§ãŒç™ºè¦‹ã•ã‚ŒãŸãªã‚‰ã°, 証明木をå°å­—ã™ã‚‹. \item[*17] demodulator ã¨ã—ã¦ä½¿ãˆã‚‹ã‹ã©ã†ã‹ã‚’調ã¹ã‚‹. \end{enumerate} 以上ã®å‡¦ç†ã¯, 推論ルールã«ã‚ˆã£ã¦å°Žå‡ºã•ã‚ŒãŸå…¨ã¦ã®å°Žå‡ºç¯€ã«å¯¾ã—㦠施ã•ã‚Œ, ãã‚ŒãŒçµ‚ã£ãŸã‚ã¨ã§, ã‚らãŸã‚ã¦æ¨ã¦ã‚‰ã‚Œãšã«æ®‹ã£ãŸ å…¨ã¦ã®å°Žå‡ºç¯€ã«å¯¾ã—ã¦ä»¥ä¸‹ã®å‡¦ç†ãŒæ–½ã•ã‚Œã‚‹ï¼š \begin{enumerate} \item[*18] 上ã®ã‚¹ãƒ†ãƒƒãƒ—17ã§, æ–°ãŸãª demodulator ãŒç”Ÿæˆã•ã‚Œã¦ã„ãŸãªã‚‰ã°, ãれらを使用ã—㦠back demodulation を行ㆠ\item[*19] usable ã‚ã‚‹ã„㯠sos ã«å«ã¾ã‚Œã‚‹é …ã§, 導出節ã«ã‚ˆã£ã¦ subsume ã•ã‚Œã‚‹ã‚ˆã†ãªç¯€ã¯å‰Šé™¤ã™ã‚‹(back subsumption). \item[*20] 導出節㮠factoring ã‚’è¡Œã„, 個々㮠factor を処ç†ã™ã‚‹. \end{enumerate} \end{description} %%%%%%%%%%%%% \section{フラグã¨ãƒ‘ラメータã®è¨­å®š} \label{sec:flags-and-parameters} フラグã¨ãƒ‘ラメータã¯æŽ¨è«–エンジンã®å®Ÿè¡Œã‚’制御ã™ã‚‹ã‚¹ã‚¤ãƒƒãƒã‚„ ã•ã¾ã–ã¾ãªåˆ¶ç´„æ¡ä»¶ã‚’指定ã™ã‚‹ãŸã‚ã®ã‚‚ã®ã§ã‚り，利用者㌠コマンドã§å€¤ã‚’設定ã™ã‚‹ (第\ref{sec:new-commands}ç« ã‚’å‚ç…§). 下ã¯ãƒ•ãƒ©ã‚°ã¨ãƒ‘ラメータã®å€¤ã®è¨­å®šä¾‹ã§ã‚ã‚‹. 個々ã®ãƒ•ãƒ©ã‚°ã‚„パラメータã®æ„味 ã¯ç¬¬\ref{sec:pn-flag}ç« ã¨ç¬¬\ref{sec:option-parameters}ç« ã§èª¬æ˜Žã™ã‚‹. \begin{vvtm} \begin{examplev} flag(binary-res, on) -- binary resolution を有効ã«ã™ã‚‹ flag(back-sub, off) -- back subsumption を無効ã«ã™ã‚‹ param(max-given, 100) -- given clause ã®æ•°ã‚’ 100 ã«é™å®šã™ã‚‹ \end{examplev} \end{vvtm} \subsection{フラグ/パラメータ値ã®ä¿å­˜/åˆæœŸåŒ–} \label{sec:init-options} システムãŒåˆæœŸã«èµ·å‹•ã—ãŸéš›ã«ã¯, å„フラグやパラメータã¯ç‰¹å®šã®æ—¢å®šå€¤ã«åˆæœŸ 化ã•ã‚Œã‚‹. 利用者ã¯å„人ã®ç›®çš„ã«å¿œã˜ã¦ã“れらã®å€¤ã‚’é©å½“ã«è¨­å®šã—ã¦ã‚·ã‚¹ãƒ†ãƒ ã‚’ 使用ã™ã‚‹ã‚ã‘ã§ã‚ã‚‹ãŒ, 特定ã®çµ„åˆã›ã‚’ä¿å­˜ã—ã¦ãŠãã“ã¨ãŒå‡ºæ¥ã‚‹ã¨ä¾¿åˆ©ã§ã‚ã‚‹. ã“ã®ãŸã‚ã®ã‚³ãƒžãƒ³ãƒ‰ãŒ\texttt{save-option}ã§ã‚ã‚‹(第~\ref{sec:new-commands} ç« ã‚’å‚ç…§). \texttt{save-option}ã§åå‰ã‚’付ã‘ã¦ä¿å­˜ã—ãŸã‚ªãƒ—ション(å…¨ã¦ã®ãƒ• ラグ/パラメータã¨ãれらã®å€¤ã®çµ„ã¿)ã¯\texttt{option}コマンドã«ã‚ˆã£ã¦å†åˆ© 用ã™ã‚‹ã“ã¨ãŒå‡ºæ¥ã‚‹. ã¾ãŸ, オプションを全ã¦åˆæœŸå€¤ã«ãƒªã‚»ãƒƒãƒˆã™ã‚‹ã®ã«ã‚‚, \texttt{option}コマンドを使用ã™ã‚‹. \begin{vvtm} \begin{examplev} option reset -- å…¨ã¦ã‚’åˆæœŸå€¤ã«æˆ»ã™ flag(hyper-res,on) -- フラグやパラメータã®å€¤ã‚’ flag(back-sub, off) -- 設定 : param(max-seconds, 3600) : save-option option-set-1 -- ç¾åœ¨ã®è¨­å®šå€¤ã‚’ option-set-1 -- ã¨ã„ã†åå‰ã‚’付ã‘ã¦ä¿å­˜ : option = option-set-1 -- å…ˆã«ä½œã£ã¦ãŠã„ãŸã‚ªãƒ—ションを利用 \end{examplev} \end{vvtm} システムを対話的ã«åˆ©ç”¨ã™ã‚‹å ´åˆ, フラグやパラメータã®å€¤ã«é–¢ã—ã¦æ··ä¹±ã‚’生㚠るæã‚ŒãŒã‚ã‚‹. 上ã§ç¤ºã—ãŸä¾‹ã®ã‚ˆã†ã«, 一旦全ã¦ã‚’åˆæœŸå€¤ã«ãƒªã‚»ãƒƒãƒˆã—, 次ã„㧠å„オプションã®è¨­å®šã‚’è¡Œã†ã¨ã„ã†ä½¿ã„方をã™ã‚‹ã¨è‰¯ã„. ç¾åœ¨ã®ãƒ•ãƒ©ã‚°ã®è¨­å®šå€¤ã‚’知るã«ã¯ \texttt{list}コマンドを用ã„ã‚‹. \begin{vvtm} \begin{examplev} list flag \end{examplev} \end{vvtm} ã¾ãŸ, パラメータã®è¨­å®šå€¤ã‚’知るã«ã‚‚, åŒã˜\texttt{list}コマンドを 用ã„ã‚‹. \begin{vvtm} \begin{examplev} list param \end{examplev} \end{vvtm} \section{フラグ} \label{sec:pn-flag} \subsection{given clause é¸æŠžã«é–¢ã™ã‚‹ãƒ•ãƒ©ã‚°} \label{sec:loop-flags} 推論ã®ä¸»ãƒ«ãƒ¼ãƒ—ã®å„サイクル毎㫠sos 節集åˆã‹ã‚‰å–り出ã•ã‚Œã‚‹ç¯€ã¯ \textbf{given clause} ã¨å‘¼ã°ã‚Œã‚‹. given clause ã¨ã—ã¦æœ€ã‚‚軽ã„節をé¸æŠžã™ã‚‹, ã¨ã„ã†ã®ãŒæ—¢å®šã®æ–¹æ³•ã§ã‚ã‚‹ã“㨠ã¯å…ˆã«è¿°ã¹ãŸ. 節ã®é‡ã•ã¨ã¯, ãã‚Œã«å«ã¾ã‚Œã‚‹ãƒªãƒ†ãƒ©ãƒ«ã®é‡ã•ã®åˆè¨ˆã§ã‚ã‚‹. リテラルã®é‡ã•ã¨ã¯, リテラルã«å«ã¾ã‚Œã‚‹é …ã®é‡ã•ã®åˆè¨ˆå€¤ã§ã‚ã‚Š, é …ã®é‡ã•ã¯, ãã‚Œã«å«ã¾ã‚Œã‚‹æ¼”ç®—å­ã¨å¤‰æ•°é …ã®æ•°ã‚’åˆè¨ˆã—ãŸã‚‚ã®ã§ã‚ã‚‹. given cluase ã®é¸æŠžæ–¹æ³•ã¯, 以下ã®ãƒ•ãƒ©ã‚°ã«ã‚ˆã£ã¦åˆ¶å¾¡ã•ã‚Œã‚‹ï¼š \begin{description} \item[sos-queue] on ã®æ™‚, sos を節㮠queue 構造ã¨ã¿ãªã—ã¦, given clause ã‚’ é¸æŠžã™ã‚‹. åˆæœŸå€¤ã¯ off. \item[sos-stack] on ã®æ™‚, sos を節㮠stack 構造ã¨ã¿ãªã—ã¦, given clause ã‚’ é¸æŠžã™ã‚‹. åˆæœŸå€¤ã¯ off. \item[input-sos-first] åˆæœŸå€¤ã¯ off. ã‚‚ã— on ãªã‚‰ã°, åˆæœŸã® sos 節集åˆã« å«ã¾ã‚Œã¦ã„ã‚‹å„節ã«å¯¾ã—ã¦, 内部的ã«ã‚ã‚‹éžå¸¸ã«å°ã•ãªé‡ã¿ãŒè¨­å®šã•ã‚Œã‚‹. 従ã£ã¦é‡ã¿ã§ç¯€ã‚’é¸æŠžã™ã‚‹éš›, åˆæœŸçŠ¶æ…‹ã§ sos ã«å«ã¾ã‚Œã¦ã„ãŸç¯€ãŒå„ªå…ˆçš„ã« é¸æŠžã•ã‚Œã‚‹ã“ã¨ã«ãªã‚‹. \item[randamize-sos] åˆæœŸå€¤ã¯ off. ã‚‚ã— on ãªã‚‰ã°, 節ã®é‡ã¿ãŒ åŒã˜ç¯€ãŒè¤‡æ•°ã‚ã£ãŸå ´åˆ, 疑似乱数を発生ã•ã›ã¦ç„¡ä½œç‚ºã«é¸æŠžã™ã‚‹. %\item[pick-given-ratio] -1 以外ã®å€¤ã®æ™‚, ã“ã®ãƒ‘ラメータã®å€¤ãŠãã«, % sos ã®å…ˆé ­ã‹ã‚‰ given clause ã‚’é¸æŠžã™ã‚‹. % åˆæœŸå€¤ã§ã¯ 4 ã«è¨­å®šã•ã‚Œã¦ã„ã‚‹. \end{description} ã“ã®ä»–, given clause ã®é¸æŠžã«ã¯, パラメータ pick-given-ratio ãŒé–¢ä¿‚ã™ã‚‹ (第\ref{sec:misc-params}節をå‚ç…§). \subsection{ãã®ä»–ã®ä¸»ãƒ«ãƒ¼ãƒ—動作ã«é–¢ã™ã‚‹ãƒ•ãƒ©ã‚°} \begin{description} \item[print-given] åˆæœŸå€¤ off.\ on ãªã‚‰ã° given clause ãŒé¸æŠžã•ã‚Œã‚‹æ¯Žã«, ãã®ç¯€ã‚’å°å­—ã™ã‚‹. \item[print-lists-at-end] åˆæœŸå€¤ off.\ on ãªã‚‰ã°, sos, usable å„節集åˆã¨ demodulator ã®ä¸€è¦§å°å­—ã‚’, 推論ループã®çµ‚了後ã«è¡Œã†. \end{description} \subsection{推論ルールã«é–¢ã™ã‚‹ãƒ•ãƒ©ã‚°} \label{sec:inf-flags} 節ã®å°Žå‡ºã«ä½¿ç”¨ã™ã‚‹æŽ¨è«–ルールを設定ã™ã‚‹ãƒ•ãƒ©ã‚°ã§ã‚ã‚Š, 以下ã®ã‚‚ã®ãŒã‚る： \begin{description} \item[auto] åˆæœŸå€¤ã¯ off.\ on ãªã‚‰ã°ã‚·ã‚¹ãƒ†ãƒ ã«å°Žå‡ºãƒ«ãƒ¼ãƒ«ã®é¸æŠžã‚„ ãã®ä»–ã®åˆ¶å¾¡ãƒ•ãƒ©ã‚°, パラメータãªã©ã®è¨­å®šã‚’ä»»ã›ã‚‹. 詳ã—ãã¯ç¬¬\ref{sec:auto-mode}ç« ã‚’å‚ç…§ã•ã‚ŒãŸã„. \item[auto3] åˆæœŸå€¤ã¯ off.\ auto フラグã¨åŒæ§˜ã§ã‚ã‚‹ãŒ, フラグ㮠設定ãŒä¸€éƒ¨ç•°ãªã‚‹. 詳細ã¯ç¬¬ \ref{sec:auto-mode}ç« ã‚’å‚ç…§ã•ã‚ŒãŸã„. \item[binary-res] åˆæœŸå€¤ã¯ off.\ on ãªã‚‰ã°, æ–°ãŸãªç¯€ã®å°Žå‡ºã®ãŸã‚ (ãã®ä»–ã«è¨­å®šã•ã‚Œã¦ã„る推論ルールã¨åˆã‚ã›ã¦) binary resolution を用ã„ã‚‹. ã“ã®ãƒ•ãƒ©ã‚°ã‚’ on ã«ã™ã‚‹ã“ã¨ã«ã‚ˆã£ã¦, factor ãŠã‚ˆã³, unit-deletion フラグãŒãã‚Œãžã‚Œè‡ªå‹•çš„ã« on ã¨ãªã‚‹. \item[hyper-res] åˆæœŸå€¤ã¯ off.\ on ãªã‚‰ã°(ä»–ã®è¨­å®šã•ã‚Œã¦ã„ã‚‹ 推論ルールã¨åˆã‚ã›ã¦), 導出節ã®ç”Ÿæˆã«æ­£ã® hyper resolution を用ã„ã‚‹. \item[neg-hyper-res] åˆæœŸå€¤ã¯ off.\ on ãªã‚‰ã°(ä»–ã®è¨­å®šã•ã‚Œã¦ã„る推論ルールã¨åˆã‚ã›ã¦), 導出節ã®ç”Ÿæˆã« negative hyper resolution を用ã„ã‚‹. \item[para-into] åˆæœŸå€¤ã¯ off.\ on ãªã‚‰ã°, given clause ã«å¯¾ã™ã‚‹ paramodulation ãŒå®Ÿè¡Œã•ã‚Œã‚‹. paramodulation を用ã„ã‚‹å ´åˆ, åŒå€¤æ€§ã«é–¢ã™ã‚‹å射則($X = X$)ãŒ, 一般的ã«ã¯å¿…è¦ã§ã‚ã‚‹. ã“れを自動的ã«è¨­å®šã™ã‚‹ã®ãŒ, 下㮠universal-symmetry ã§ã‚ã‚‹. \item[universal-symmetry] åˆæœŸå€¤ã¯ off.\ on ã®å ´åˆ, 入力節ã¨ã—ã¦, åŒå€¤æ€§ã«é–¢ã™ã‚‹å射則ã«å¯¾å¿œã™ã‚‹ç¯€($ X = X $ ã«ç›¸å½“ ã™ã‚‹ã‚‚ã®)を自動的ã«è¿½åŠ ã™ã‚‹. \item[para-from] åˆæœŸå€¤ã¯ off.\ on ã®å ´åˆ, given clause ã‚’ paramodulator ã¨ã—ãŸ(usable, ãŠã‚ˆã³ sos ã«å«ã¾ã‚Œã‚‹ 節ã«å¯¾ã—ã¦ã®) paramodulation ãŒå®Ÿè¡Œã•ã‚Œã‚‹. paramodulation を用ã„ã‚‹å ´åˆ, åŒå€¤æ€§ã«é–¢ã™ã‚‹å射則($X = X$)ãŒ, 一般的ã«ã¯å¿…è¦ã§ã‚ã‚‹(上㮠\texttt{universal-symmetry}ã®èª¬æ˜Žã‚’ å‚ç…§). \item[demod-inf] åˆæœŸå€¤ã¯ off.\ on ã®å ´åˆ, ã‚ãŸã‹ã‚‚推論ルール ã§ã‚ã‚‹ã‹ã®ã‚ˆã†ã«, given-clause ã«å¯¾ã—㦠demodulation ãŒå®Ÿè¡Œã•ã‚Œã‚‹. ã“ã®ãƒ•ãƒ©ã‚°ãŒ on ã®å ´åˆã¯, given-clause ãŒã‚³ãƒ”ーã•ã‚Œ, 通常㮠導出節ã«å¯¾ã—ã¦ã¨åŒã˜å‡¦ç†ãŒæ–½ã•ã‚Œã‚‹. \item[prop-res] åˆæœŸå€¤ã¯ off.\ on ã®å ´åˆ, 以下ã®æ¡ä»¶ãŒæº€è¶³ã•ã‚Œã‚‹ å ´åˆã«, 命題論ç†çš„ãªç¯€(変数をå«ã¾ãªã„節)ã«å¯¾ã—ã¦, binary resolution を実行ã™ã‚‹ï¼š \begin{itemize} \item フラグ \texttt{binary-res} ㌠off \item フラグ \texttt{hyper-res} ã‚ã‚‹ã„㯠\texttt{neg-hyper-res} ㌠on \end{itemize} ã“ã®å ´åˆ, resolution ã®å¯¾è±¡ã¨ãªã‚‹ç¯€ã‚‚変数をå«ã¾ãªã„ã‚‚ã®ã« é™å®šã•ã‚Œã‚‹. \item[dist-const] åˆæœŸå€¤ã¯ off.\ on ã®å ´åˆ, å…¨ã¦ã®å®šæ•°ã¯äº’ã„ã«ç•°ãªã‚‹ã‚‚ã® ($\neq$)ã¨ã—ã¦æ‰±ã†. ã™ãªã‚ã¡, $c_1=c_2$ ã®ã‚ˆã†ãªå½¢ã®ãƒªãƒ†ãƒ©ãƒ«ãŒã‚ã‚Š, $c_1$ 㨠$c_2$ ãŒç•°ãªã‚‹å®šæ•°é …ã§ã‚ã£ãŸå ´åˆ, \texttt{false} ã¨ã•ã‚Œ, åŒä¸€ã® å ´åˆã¯ \texttt{true} ã¨ã—ã¦æ‰±ã†. Skolem 定数ã«é–¢ã—ã¦ã¯ã“ã®ãƒ•ãƒ©ã‚°ã¯ç„¡è¦– ã•ã‚Œã‚‹. \end{description} \subsection{Paramodulation ã«é–¢ã™ã‚‹ãƒ•ãƒ©ã‚°} \label{sec:para-flags} Paramodulation ã®å‹•ä½œã‚’制御ã™ã‚‹ãŸã‚ã®ãƒ•ãƒ©ã‚°ç¾¤ã§ã‚ã‚Š, 以下ã®ã‚‚ã®ãŒã‚る： \begin{description} \item[para-from-left] åˆæœŸå€¤ã¯ on.\ on ã®å ´åˆ, paramodulator ã¨ã—ã¦ä½¿ç”¨ã•ã‚Œã‚‹ç­‰å¼ $l = r$ ã‚’, $l\rightarrow r$ ã¨æ–¹å‘ã¤ã‘㟠paramodulation ãŒè¡Œã‚れる. para-from ãŠã‚ˆã³ para-into 両方ã®æŽ¨è«–ルールã®å‹•ä½œã«æœ‰åŠ¹ã§ã‚ã‚‹. \item[para-from-right] åˆæœŸå€¤ã¯ on.\ on ã®å ´åˆ, ç­‰å¼ $l = r$ ã‚’ $r\rightarrow l$ ã¨æ–¹å‘ã¤ã‘㟠paramodulation ㌠行ã‚れる. para-from ãŠã‚ˆã³ para-into 両方ã®æŽ¨è«–ルールã«æœ‰åŠ¹ã§ã‚ã‚‹. \item[para-into-left] åˆæœŸå€¤ã¯ on.\ on ã®å ´åˆ, paramodulation ãŒæ–½ã•ã‚Œã‚‹å¯¾è±¡ã¨ãªã‚‹æ­£ã¾ãŸã¯è² ã®ç­‰å¼ã®å·¦è¾ºå´ã« 対ã™ã‚‹ paramodulation ãŒå¯èƒ½ã¨ãªã‚‹. para-from ãŠã‚ˆã³ para-into 両方ã®æŽ¨è«–ルールã«å¯¾ã—ã¦æœ‰åŠ¹ã§ã‚ã‚‹. \item[para-into-right] åˆæœŸå€¤ã¯ on.\ on ã®å ´åˆ paramodulation ãŒæ–½ã•ã‚Œã‚‹å¯¾è±¡ã¨ãªã‚‹æ­£ã¾ãŸã¯è² ã®ç­‰å¼ã®å³è¾ºå´ã« 対ã™ã‚‹ paramodulation ãŒå¯èƒ½ã¨ãªã‚‹. para-from ãŠã‚ˆã³ para-into 両方ã®æŽ¨è«–ルールã«å¯¾ã—ã¦æœ‰åŠ¹ã§ã‚ã‚‹. \item[para-from-vars] åˆæœŸå€¤ã¯ off.\ on ã®å ´åˆã¯, 変数ã‹ã‚‰ã® paramodulation を有効ã«ã™ã‚‹. \emph{ã“ã®ãƒ•ãƒ©ã‚°ã‚’ on ã«ã™ã‚‹ã¨ éžå¸¸ã«å¤šãã® paramodulation ãŒå®Ÿè¡Œã•ã‚Œã‚‹å¯èƒ½æ€§ãŒã‚ã‚‹.} para-into ãŠã‚ˆã³ para-from 両方ã®æŽ¨è«–ルールã«å¯¾ã—ã¦æœ‰åŠ¹ãªãƒ•ãƒ©ã‚°ã§ã‚ã‚‹. \item[para-from-units-only] åˆæœŸå€¤ã¯ off.\ on ã®å ´åˆ paramodulator ã¨ãªã‚Šå¾—る節ã¯, (ç­‰å¼ã®ã¿ã‹ã‚‰ãªã‚‹)å˜ä¸€ç¯€ã«é™ã‚‰ã‚Œã‚‹. para-from ãŠã‚ˆã³ para-into 両方ã®æŽ¨è«–ルールã«å¯¾ã—ã¦æœ‰åŠ¹ã§ã‚ã‚‹. \item[para-into-units-only] åˆæœŸå€¤ã¯ off.\ on ã®å ´åˆ paramodulation ã®å¯¾è±¡ã¨ãªã‚‹ç¯€ã¯, (ç­‰å¼ã®ã¿ã‹ã‚‰ãªã‚‹)å˜ä¸€ç¯€ã«é™ã‚‰ã‚Œã‚‹. para-from ãŠã‚ˆã³ para-into 両方ã®æŽ¨è«–ルールã«å¯¾ã—ã¦æœ‰åŠ¹ã§ã‚ã‚‹. \item[para-ones-rules] åˆæœŸå€¤ã¯ off.\ ç¾åœ¨ã“ã®ãƒ•ãƒ©ã‚°ã¯ä½¿ç”¨ã•ã‚Œã¦ã„ãªã„. \item[para-skip-skolem] åˆæœŸå€¤ã¯ off.\ ç¾åœ¨ã“ã®ãƒ•ãƒ©ã‚°ã¯ä½¿ç”¨ã•ã‚Œã¦ã„ãªã„. \end{description} \subsection{導出節ã®å‡¦ç†ã«é–¢ã™ã‚‹ãƒ•ãƒ©ã‚°} \label{sec:gen-flags} 導出節ã«å¯¾ã—ã¦æ–½ã•ã‚Œã‚‹å‡¦ç†ã‚’制御ã™ã‚‹ãŸã‚ã®ãƒ•ãƒ©ã‚°ã§ã‚ã‚Š, 以下ã®ã‚‚ã®ãŒã‚る： \begin{description} \item[unit-deletion] åˆæœŸå€¤ off.\ on ã®å ´åˆ, 導出ã•ã‚ŒãŸç¯€ã«å¯¾ã™ã‚‹ unit deletion 処ç†ãŒæ–½ã•ã‚Œã‚‹. unit deletion ã¨ã¯, 節ã«å«ã¾ã‚Œã‚‹ãƒªãƒ†ãƒ©ãƒ«ãŒ, sos ã¾ãŸã¯ usable ã«å«ã¾ã‚Œã‚‹å˜ä¸€ç¯€ã®å¦å®šã«ãªã£ã¦ã„ã‚‹ å ´åˆ, ãれらã®ãƒªãƒ†ãƒ©ãƒ«ã‚’除去ã™ã‚‹å‡¦ç†ã§ã‚ã‚‹. 例ãˆã° \texttt{p(a,X) | q(a,X)} ã¨ã„ã†ç¯€ã®2番目ã®ãƒªãƒ†ãƒ©ãƒ«ã¯, å˜ä¸€ç¯€ \texttt{~ q(u,V)} ã«ã‚ˆã£ã¦é™¤åŽ»ã•ã‚Œã‚‹(ã“ã“ã§, X 㨠V ã¯å¤‰æ•°ã§ã‚ã‚Š, ä»–ã¯å®šæ•°ã¨ã™ã‚‹--以下åŒæ§˜). ã—ã‹ã—, å˜ä¸€ç¯€ \texttt{~ q(u,b)} ã«ã‚ˆã£ã¦ã¯é™¤åŽ»ã•ã‚Œãªã„. ãªãœãªã‚‰ unification ã«ã‚ˆã£ã¦å¤‰æ•° X ㌠instantiate ã•ã‚Œã‚‹ã‹ã‚‰ã§ã‚ã‚‹. ã“ã®æ¡ä»¶ã«åˆè‡´ã™ã‚‹ãƒªãƒ†ãƒ©ãƒ«ã¯å…¨ã¦é™¤åŽ»ã•ã‚Œ, çµæžœã¨ã—ã¦ç©ºç¯€ãŒå¾—られる å ´åˆã‚‚ã‚ã‚‹. (unit deletion ã¯, 導出節ãŒå¿…ãšå˜ä¸€ç¯€ã¨ãªã‚‹ã‚ˆã†ãªå ´åˆã«ã¯ 冗長ãªå‡¦ç†ã§ã‚ã‚‹.) \item[delete-identical-nested-skolem] åˆæœŸå€¤ off.\ on ã®å ´åˆ, Skolem 関数ãŒãƒã‚¹ãƒˆã—ã¦ã„るよã†ãªé …ã‚’æŒã£ãŸç¯€ã‚’除去ã™ã‚‹. 例ãˆã°, \texttt{f} ㌠Skolem 関数ã§ã‚るよã†ãªå ´åˆ, \texttt{f(f(x))} ã‚„ \texttt{f(g(f(x)))} ã¨ã„ã†ã‚ˆã†ãªå½¢ã®é …ã‚’å«ã‚€ç¯€ã‚’除去ã™ã‚‹. \item[sort-literals] åˆæœŸå€¤ off.\ on ã®å ´åˆ, æ–°ãŸãªå°Žå‡ºç¯€ã«å«ã¾ã‚Œã‚‹ãƒªãƒ†ãƒ©ãƒ«ã‚’, è² (å¦å®š)ã®ãƒªãƒ†ãƒ©ãƒ«, 次ã«æ­£ã®ãƒªãƒ†ãƒ©ãƒ«ã¨ã„ã£ãŸé †ã«ä¸¦ã³æ›¿ãˆã‚‹. ã“ã®å‡¦ç†ã®ä¸»ç›®çš„ã¯, 節を見やã™ãã™ã‚‹ã“ã¨ã§ã‚ã‚‹ãŒ, å˜ä¸€ç¯€ã§ãªã„節㮠subsumption 判定処ç†ãŒé«˜é€ŸåŒ–ã•ã‚Œã‚‹å ´åˆã‚‚ã‚ã‚‹. \item[for-sub] åˆæœŸå€¤ on.\ on ã®å ´åˆ, æ–°ãŸã«å°Žå‡ºã•ã‚ŒãŸ 節ã«å¯¾ã™ã‚‹å‡¦ç†ã®éš›ã«, å‰å‘ã subsumption 検査(usable ã‚ã‚‹ã„㯠sos ã«å« ã¾ã‚Œã‚‹ç¯€ã«ã‚ˆã£ã¦ subsume ã•ã‚Œã‚‹ã‹ã©ã†ã‹ã®æ¤œæŸ»)ãŒè¡Œã‚ã‚Œ, ãã®å ´åˆã¯ä»¥é™ ã®æŽ¨è«–ã«ç„¡é§„ãªç¯€ãªã®ã§, ã“れを除去ã™ã‚‹. \item[bak-sub] åˆæœŸå€¤ on.\ on ã®å ´åˆ, æ–°ãŸã«ä¿æŒã•ã‚ŒãŸç¯€ã‚’用ã„ã¦, 後å‘ã subsumption 処ç†(ãã®ç¯€ã«ã‚ˆã£ã¦ subsume ã•ã‚Œã‚‹ã‚ˆã†ãª usable ã‚ã‚‹ã„㯠sos 内ã®ç¯€ã‚’除去ã™ã‚‹äº‹)ãŒè¡Œã‚れる. \item[factor] åˆæœŸå€¤ off.\ on ã®å ´åˆ, factoring 処ç†ãŒ 以下ã®2ã¤ã®æ–¹å¼ã§é©ç”¨ã•ã‚Œã‚‹ \begin{enumerate} \item æ–°ãŸãªå°Žå‡ºç¯€ã«å¯¾ã™ã‚‹ç°¡å˜åŒ–処ç†ï¼š\\ ã‚‚ã—, 導出節 $C$ ㌠$C$ ã‚’ subsume ã™ã‚‹ã‚ˆã†ãª factor ã‚’æŒã£ã¦ã„る㪠らã°, 最もå°ã•ãª factor ã§ç¯€ã‚’ç½®ãæ›ãˆã‚‹. \item æ–°ãŸãªä¿æŒç¯€ã«å¯¾ã™ã‚‹æŽ¨è«–ルール:\\ factoring 処ç†ã§ã‚ã‚‹. ä»–ã®æŽ¨è«–ルールã¨ã¯ç•°ãªã‚Š, given clause ã«ã¯é© 用ã•ã‚Œãªã„. \end{enumerate} \end{description} \subsection{Demodulation ã¨ç­‰å¼ã®å‘ãã¤ã‘ã«é–¢ã™ã‚‹ãƒ•ãƒ©ã‚°} \label{sec:eq-flags} Demodulation ã®å‹•ä½œã¨, ç­‰å¼ã®å·¦å³è¾ºã®å‘ã付ã‘ã®å‡¦ç†ã‚’制御ã™ã‚‹ãŸã‚㮠フラグ群ã§ã‚ã‚‹. \begin{description} \item[demod-history] åˆæœŸå€¤ on.\ on ã®å ´åˆ, 節㌠demodulate ã•ã‚ŒãŸå ´åˆ, demodulator 節㮠id 番å·ã‚’節ã®å°Žå‡ºå±¥æ­´ã®ä¸­ ã«ä¿æŒã™ã‚‹. \item[order-eq] åˆæœŸå€¤ off.\ on ã®å ´åˆ, ç­‰å¼ã®å³è¾ºãŒå·¦è¾ºã‚ˆã‚Šé‡ã‹ã£ãŸå ´åˆ ã«å·¦å³è¾ºã‚’入れæ›ãˆã‚‹(「é‡ã•ã€ã®æ„味ã«é–¢ã—ã¦ã¯, 第~\ref{sec:orient} 㨠~\ref{sec:orient-lrpo} 節をå‚ç…§). \item[eq-units-both-ways] åˆæœŸå€¤ off.\ on ã®å ´åˆ, ç­‰å¼ã®ã¿ã‹ã‚‰ãªã‚‹å˜ä¸€ç¯€ ã«é–¢ã—ã¦, å·¦å³ã©ã¡ã‚‰ã‹ã‚‰ã®å‘ã付ã‘ã‚‚å¯èƒ½ã¨ãªã‚‹. 実際ã®å‹•ä½œã¯, フラグ \texttt{order-eq} ã®å€¤ã«ä¾å­˜ã™ã‚‹ï¼š \begin{itemize} \item ã‚‚ã— \texttt{order-eq} ㌠off ãªã‚‰ã°, ç­‰å¼ $\alpha=\beta$ ã«é–¢ã—㦠$\beta=\alpha$ ãŒç„¡æ¡ä»¶ã«è‡ªå‹•ç”Ÿæˆã•ã‚Œã‚‹. \item \texttt{order-eq} ㌠on ãªã‚‰ã°, ç­‰å¼ã®å·¦å³è¾ºã®å‘ã付ã‘㌠出æ¥ãªã‹ã£ãŸå ´åˆã«ã®ã¿, $\beta=\alpha$ ãŒç”Ÿæˆã•ã‚Œã‚‹. \end{itemize} \item[dynamic-demod] åˆæœŸå€¤ off.\ on ã®å ´åˆ, æ¡ä»¶ã«å¶ã£ãŸ, æ–°ãŸãªä¿æŒç¯€(処ç†ãŒæ–½ã•ã‚Œã¦ä»¥é™ã®å°Žå‡ºã®ãŸã‚ã«ä¿æŒã•ã‚ŒãŸ 節)ãŒ, æ–°ãŸãª demodulator ã¨ã—ã¦ç™»éŒ²ã•ã‚Œã‚‹. ã“ã®ã‚ˆã†ã«, 推論éŽç¨‹ã§ demodulator ã¨ã—ã¦è¿½åŠ ã•ã‚Œã‚‹ç¯€ã‚’ dynamic demodulator ã¨å‘¼ã¶. PigNose ã«ã¯, demodulator を利用者ãŒæŒ‡å®šã™ã‚‹æ©Ÿèƒ½ã¯ ãªã, 一部例外を除ã„ã¦å…¨ã¦ã® demodulator 㯠dynamic demodulator ã§ã‚ã‚‹. 従ã£ã¦, demodulation 機構を使用ã—ãŸã„å ´åˆã¯, ã“㮠フラグを on ã«è¨­å®šã—ã¦ãŠãå¿…è¦ãŒã‚ã‚‹. æ¡ä»¶ã«ã¤ã„ã¦ã¯, 第~\ref{sec:dynamic} 㨠~\ref{sec:dynamic-lrpo} ç¯€ã‚’å‚ ç…§. ã“ã®ãƒ•ãƒ©ã‚°ã‚’ on ã«è¨­å®šã™ã‚‹ã¨, 自動的㫠\texttt{order-eq} ã‚‚ on ã«è¨­ 定ã•ã‚Œã‚‹. \item[dynamic-demod-all] åˆæœŸå€¤ off.\ on ã®å ´åˆ, システムã¯å…¨ã¦ã®æ–°ãŸãªå°Žå‡ºç¯€ã‚’ demodulator ã¨ã™ã¹ã試ã¿ã‚‹(第 ~\ref{sec:dynamic}節をå‚ç…§). ã“ã®ãƒ•ãƒ©ã‚°ã‚’ on ã«è¨­å®šã™ã‚‹ã¨, 自動的㫠\texttt{dynamic-demod} 㨠\texttt{order-eq} ㌠on ã«è¨­å®šã•ã‚Œã‚‹. \item[dynamic-demod-lex-dep] åˆæœŸå€¤ off.\ on ã®å ´åˆ å‹•çš„ demodulator (dynamic-demod フラグ㌠on ã®éš›ã«, å‹•çš„ã« demodulator ã¨ã—ã¦ç™»éŒ²ã•ã‚Œã‚‹ç¯€ -- 上㮠dynamic-demod フラグã®èª¬æ˜Žã‚’ å‚ç…§ -- 㯠lex-ä¾å­˜, ã‚ã‚‹ã„㯠lrpo-ä¾å­˜ ã§ã‚ã£ã¦ã‚‚良ã„ã¨ã•ã‚Œã‚‹. 詳ã—ãã¯ç¬¬~\ref{sec:dynamic} 㨠\ref{sec:dynamic-lrpo} 節をå‚ç…§. \item[back-demod] åˆæœŸå€¤ off.\ on ã®å ´åˆ, æ–°ãŸãª demodulator ãŒè¿½åŠ ã•ã‚Œã‚‹æ¯Žã«,ãれを用ã„㦠usable, sos, åŠã³ç¾åœ¨ã® demodulator ã«å¯¾ã—ã¦, demodulation ãŒè¡Œã‚れる. ã“ã®ãƒ•ãƒ©ã‚°ãŒ on ã«ã•ã‚Œã‚‹ã¨, 自動的㫠\texttt{order-eq} 㨠\texttt{dynamic-demod} フラグ㌠on ã«è¨­å®šã•ã‚Œã‚‹. \item[kb] åˆæœŸå€¤ off.\ on ã®å ´åˆ, システムã®æŽ¨è«–éŽç¨‹ã¯ Knuth-Bendix 㮠完備化手続ãã®ã‚ˆã†ãªæŒ¯èˆžã„ã‚’ã™ã‚‹. ã“ã®ãƒ•ãƒ©ã‚°ã¯å®Ÿéš›ã«ã¯ãƒ¡ã‚¿ãƒ•ãƒ©ã‚°ã§ã‚ã‚Š, 下ã«ç¤ºã™ã‚ˆã†ã«ã—ã¦ä»–ã®ãƒ•ãƒ©ã‚°ã‚’設定ã™ã‚‹ã‚‚ã®ã§ã‚る： \begin{simplev} flag(para-from,on) flag(para-into,on) flag(para-from-left,on) flag(para-from-right,off) flag(para-into-left,on) flag(para-into-right, off) flag(para-from-vars, on) flag(eq-units-both-ways, on) flag(dynamic-demod-all, on) flag(back-demod, on) flag(process-input, on) flag(lrpo, on) \end{simplev} \item[kb2] kb ã¨åŒæ§˜ã§ã‚ã‚‹ãŒ, 自動設定ã•ã‚Œã‚‹ãƒ•ãƒ©ã‚°ã®ã†ã¡, para-from-vars ㌠off ã«ã•ã‚Œã‚‹ç‚¹ãŒç•°ãªã‚‹. \item[lrpo] åˆæœŸå€¤ off.\ on ã®å ´åˆ, 辞書å¼å†å¸°ãƒ‘ス順åº(lexicographic recursive path ordering -- lrpo) ã«ã‚ˆã£ã¦é …ã®å¤§å°æ¯”較を行ã†. off ã®å ´åˆã¯, é‡ã¿ã¨å˜ç´”ãªè¾žæ›¸å¼é †ã«ã‚ˆã‚‹æ¯”較ãŒä½¿ç”¨ã•ã‚Œã‚‹ (第\ref{sec:lrpo}節をå‚ç…§). \item[lex-order-vars] åˆæœŸå€¤ off.\ ã“ã®ãƒ•ãƒ©ã‚°ã¯ lex-ä¾å­˜ã® demodulation ã¨, 節ã«å«ã¾ã‚Œã‚‹é …ã®å¤§å°æ¯”較を行ã†å†…部手続ãã®å‹•ä½œã‚’制御ã™ã‚‹. ã“ã®ãƒ•ãƒ©ã‚°ãŒ on ã®å ´åˆ, 辞書å¼é †ã«ã‚ˆã‚‹é …ã®é †åºä»˜ã‘ã¯å…¨é †åºã¨ãªã‚‹. ã¤ã¾ã‚Š, 変数ã¯é …ã®é †åºé–¢ä¿‚ã«ãŠã„ã¦æœ€ã‚‚å°ã•ã, 変数åŒå£«ã®é †åºã¯ åå‰ã®è¾žæ›¸å¼é †ã§ã‚ã‚‹. ã“ã®ãƒ•ãƒ©ã‚°ãŒ off ã®å ´åˆã¯, åŒã˜å¤‰æ•°ã‹ã©ã†ã‹ ã¨ã„ã†åˆ¤å®šã®ã¿ãŒè¡Œã‚れる. ç•°ãªã‚‹å¤‰æ•°åŒå£«ã‚„変数ã§ã¯ãªã„é …ã¨ã®æ¯”較㯠行ã‚ã‚Œãªã„. 例ãˆã°, $X$ 㨠$Y$ を変数ã¨ã™ã‚‹. $f(X)$ 㨠$f(Y)$ ã‚’ 比較ã™ã‚‹ã¨, lex-order-vars ㌠on ã®å ´åˆã¯æ¯”較ãŒè¡Œã‚ã‚Œ, $f(X)$ ã® æ–¹ãŒå°ã•ã„ã¨åˆ¤å®šã•ã‚Œã‚‹. ã—ã‹ã—ã“ã®ãƒ•ãƒ©ã‚°ãŒ off ã®å ´åˆã®æ¯”較çµæžœã¯ 「ä¸æ˜Žã€(é †åºã¤ã‘ãŒã§ããªã„)ã¨ãªã‚‹. フラグ \texttt{lrpo} ㌠on ã«ãªã£ã¦ã„ã‚‹å ´åˆ, lex-order-vars ã®å€¤ã¯ demodulation ã®å‹•ä½œã«ã¯å½±éŸ¿ã‚’与ãˆãªã„(\ref{sec:lex-order}ç« ). \end{description} \subsection{入力節ã®å‡¦ç†ã«é–¢ã™ã‚‹ãƒ•ãƒ©ã‚°} \label{sec:input} \begin{description} \item[simplify-fol] åˆæœŸå€¤ on.\ on ã®å ´åˆ, FOPL 文を節形å¼ã« 変æ›ã™ã‚‹éš›ã«, tautology ã®æ¤œå‡ºãªã©ã‚’å«ã‚€å¼ã®ç°¡å˜åŒ–処ç†ãŒæ–½ã•ã‚Œã‚‹. ç°¡å˜åŒ–処ç†ã¯ CNF 変æ›ã®éš›ã« Skolem 化を行ã£ãŸå¾Œã§å®Ÿæ–½ã•ã‚Œã‚‹. ã“ã®éš›ã«çµæžœãŒç©ºç¯€ã¨ãªã‚‹å ´åˆã‚‚有り得るãŒ, フラグ process-input ㌠off ã®å ´åˆã¯, システムã¯ãれをèªè­˜ã—ãªã„ -- åé§ã•ã‚ŒãŸ(証明ãŒè¦‹ä»˜ã‹ã£ ãŸ)ã¨ã—ãªã„. \item[process-input] åˆæœŸå€¤ off.\ on ã®å ´åˆ, åˆæœŸã® usable ãŠã‚ˆã³ sos 節集åˆã«å«ã¾ã‚Œã¦ã„る節ã«å¯¾ã—ã¦, ã‚ãŸã‹ã‚‚ãれらãŒæŽ¨è«–ルール ã‚’é©ç”¨ã—ã¦å¾—られãŸå°Žå‡ºç¯€ã§ã‚ã‚‹ã‹ã®ã‚ˆã†ãªå‡¦ç†ãŒæ–½ã•ã‚Œã‚‹ (導出節ã«å¯¾ã™ã‚‹å‡¦ç†æ¦‚è¦ã®èª¬æ˜ŽãŒç¬¬\ref{sec:main-loop}節ã«ã‚ã‚‹ã®ã§ ã“れをå‚ç…§ã•ã‚ŒãŸã„). 実際ã®å°Žå‡ºç¯€ã«å¯¾ã™ã‚‹å‡¦ç†ã¨, ã“れらã®å…¥åŠ›ç¯€ ã«å¯¾ã™ã‚‹å‡¦ç†ã§ã¯, 以下ã®é•ã„ãŒã‚る： \begin{itemize} \item[(1)] 入力節ã«å¯¾ã—ã¦ã¯, \texttt{max-literals} ãŠã‚ˆã³ \texttt{max-weight} パラメータã«ã‚ˆã‚‹åˆ¶ç´„テストã¯è¡Œã‚ã‚Œãªã„. ã¾ãŸ, \texttt{delete-identical-nested-skolem} フラグã«ã‚ˆã‚‹ãƒ†ã‚¹ãƒˆã‚‚ è¡Œã‚ã‚Œãªã„. \item[(2)] usable ã«å«ã¾ã‚Œã¦ã„ãŸç¯€ã¯, 処ç†ã®å¾Œä¿æŒã•ã‚Œã‚‹ã¨åˆ¤å®šã•ã‚ŒãŸ å ´åˆ, ãã®ã¾ã¾ usable ã«ç½®ã‹ã‚Œã‚‹(通常ã®å°Žå‡ºç¯€ã¯ sos ã«è¿½åŠ ã•ã‚Œã‚‹). \item[(3)] å°å­—ã«é–¢ã™ã‚‹ãƒ•ãƒ©ã‚°(第\ref{sec:output-flags}ã‚’å‚ç…§) ㌠off ã®å ´åˆã§ã‚‚, ã„ãã¤ã‹ã®æƒ…å ±ãŒå°å­—ã•ã‚Œã‚‹. \end{itemize} \end{description} \subsection{å°å­—ã«é–¢ã™ã‚‹ãƒ•ãƒ©ã‚°} \label{sec:output-flags} \begin{description} \item[very-verbose] åˆæœŸå€¤ off.\ on ã®å ´åˆ, 詳細ãªå‡¦ç†æƒ…報㌠å°å­—ã•ã‚Œã‚‹. \item[print-kept] åˆæœŸå€¤ on.\ on ã®å ´åˆ, æ–°ãŸãªå°Žå‡ºç¯€ãŒä¿æŒã•ã‚Œã‚‹ã¨ 判定ã•ã‚ŒãŸå ´åˆ, ãれをå°å­—ã™ã‚‹. \item[print-proofs] åˆæœŸå€¤ on.\ on ã®å ´åˆ, 空節ãŒå¾—られãŸæ™‚ã« ãã®å°Žå‡ºå±¥æ­´(証明木)ã‚’å°å­—ã™ã‚‹. \item[print-new-demod] åˆæœŸå€¤ on.\ on ã®å ´åˆ, 推論éŽç¨‹ã§å‹•çš„ã«è¿½åŠ ã•ã‚ŒãŸ demodulator ã‚’ãã®éƒ½åº¦å°å­—ã™ã‚‹. 入力節ã«å¯¾ã™ã‚‹å‡¦ç†ã®å ´åˆã¯, ã“ã®ãƒ•ãƒ©ã‚°ã®å€¤ã«ã‹ã‹ã‚らãš, å°å­—ã•ã‚Œã‚‹. \item[print-bak-demod] åˆæœŸå€¤ on.\ on ã®å ´åˆ, back demodulation ãŒå®Ÿè¡Œã•ã‚ŒãŸç¯€ã‚’ãã®éƒ½åº¦å°å­—ã™ã‚‹. 入力節㌠back demodulation ã•ã‚ŒãŸå ´åˆã¯, ã“ã®ãƒ•ãƒ©ã‚°ã®å€¤ã«ä¿‚ã‚ら㚠å°å­—ã•ã‚Œã‚‹. \item[print-back-sub] åˆæœŸå€¤ on.\ on ã®å ´åˆ, back subsume ã•ã‚ŒãŸç¯€ã‚’ãã®éƒ½åº¦å°å­—ã™ã‚‹. 入力節㌠back subsume ã•ã‚ŒãŸå ´åˆã¯, ã“ã®ãƒ•ãƒ©ã‚°ã®å€¤ã«ã‹ã‹ã‚ら㚠å°å­—ã•ã‚Œã‚‹. \item[quiet] åˆæœŸå€¤ off.\ on ã®å ´åˆ, å…¨ã¦ã®æƒ…å ±å°å­—ãŒæŠ‘制ã•ã‚Œã‚‹. \end{description} \subsection{ãã®ä»–ã®ãƒ•ãƒ©ã‚°} \label{sec:misc-flags} \begin{description} \item[control-memory] åˆæœŸå€¤ off.\ on ã®å ´åˆ, 自動的㫠sos サイズを å…ƒã«ã—㟠max-weight パラメータã®å†è¨­å®šæ©Ÿèƒ½ãŒæœ‰åŠ¹ã¨ãªã‚‹. \item[order-hyper] åˆæœŸå€¤ on.\ on ã®å ´åˆ, 推論ルール㮠\texttt{hyper-res} 㨠\texttt{neg-hyper-res} ã«ã‚ˆã‚‹å°Žå‡ºã®éš›ã«, é †åºä»˜ã‘戦略ã«ã‚ˆã‚‹ 制約ãŒæ–½ã•ã‚Œã‚‹. ã¤ã¾ã‚Š, サテライト節ã®ãƒªãƒ†ãƒ©ãƒ«ã¯, ãã‚ŒãŒæœ€å¤§ã®ã‚‚ã®ã§ã‚ã‚‹ (åŒã˜ç¯€ã«ãれより大ãã„リテラルãŒç„¡ã„)ã¨ãã«ã®ã¿, resolve ã®å¯¾è±¡ã¨ã•ã‚Œã‚‹. 大ãã•ã®æ¯”較ã¯, 述語記å·ã‚’辞書å¼é †ã§æ¯”ã¹ã‚‹äº‹ã«ã‚ˆã£ã¦è¡Œã‚れる. (ã“ã®ãƒ•ãƒ©ã‚°ã¯, 正㮠hyper resolution -- hyper-res フラグã«ã‚ˆã‚‹æŽ¨è«– ルールを用ã„ã‚‹éš›, å…¨ã¦ã®ç¯€ãŒ Horn 節ã§ã‚ã£ãŸå ´åˆã«ã¯ç„¡æ„味ã§ã‚ã‚‹.) \item[propositional] åˆæœŸå€¤ off.\ ã“ã®ãƒ•ãƒ©ã‚°ãŒ on ã®å ´åˆ, システムã¯å…¨ã¦ã®ç¯€ãŒå‘½é¡Œè«–ç†çš„ã§ã‚ã‚‹ã¨ä»®å®šã—ã¦, ãã‚Œã«æœ€é©åŒ–ã•ã‚ŒãŸå‡¦ç†ã‚’ã™ã‚‹. ã“ã®ãƒ•ãƒ©ã‚°ã‚’ on ã«ã™ã‚‹å ´åˆ, 実際ã«å…¨ã¦ã®ç¯€ãŒå‘½é¡Œè«–ç†çš„ã§ãªã‘ã‚Œã°, çµæžœãŒæ­£å½“ã§ã‚ã‚‹ã“ã¨ã¯ä¿è¨¼ã•ã‚Œãªã„. å ´åˆã«ã‚ˆã£ã¦ã¯ã‚·ã‚¹ãƒ†ãƒ ãŒ clash ã™ã‚‹ ã“ã¨ã‚‚ã‚ã‚‹ã®ã§, 注æ„ã•ã‚ŒãŸã„. \end{description} \section{パラメータ} \label{sec:option-parameters} パラメータã¯æ­£ã¾ãŸã¯è² ã®æ•´æ•°å€¤ã§ã‚ã‚Š, 推論プロセスã®å‹•ä½œã‚’制御ã™ã‚‹ã‚‚ã®ã§ã‚ã‚‹. 本章ã§ã¯æŽ¨è«–プロセスãŒå‚ç…§ã™ã‚‹ãƒ‘ラメータã«ã¤ã„ã¦èª¬æ˜Žã™ã‚‹. パラメータã®æœ‰åŠ¹ç¯„囲㯠[M ... N] ã¨ã„ã†è¡¨è¨˜ã§è¦å®šã™ã‚‹. ã“れ㯠M 以上 N 以下を æ„味ã™ã‚‹. 最å°å€¤ã®è¦å®šã§ most-negative-fixnum ã¨ãªã£ã¦ã„ã‚‹ã®ã¯, Common Lisp ã®ä»•æ§˜ã§è¦å®šã•ã‚Œã„ã¦ã„る最å°ã®å›ºå®šæ•´æ•°å€¤, ã¾ãŸ most-positive-fixnum ã¨ãªã£ ã¦ã„ã‚‹ã®ã¯åŒã˜ã最大ã®å›ºå®šæ•´æ•°å€¤ã‚’æ„味ã™ã‚‹\footnote{Common Lisp 処ç†ç³»ã« よã£ã¦ã“れらã®å®Ÿéš›ã®å€¤ã¯ã¾ã¡ã¾ã¡ã§ã‚ã‚‹. } \subsection{探索制約設定パラメータ} \begin{description} \item[max-seconds] [-1 ... most-positive-fixnum]\\ åˆæœŸå€¤ã¯ -1. ã‚‚ã— $n\neq -1$ ãªã‚‰ã°, cpu 消費時間㌠約 n 秒ã«é”ã—ãŸæ™‚点ã§è¨¼æ˜ŽæŽ¢ç´¢ã‚’中止ã™ã‚‹. 設定ã—ãŸæ™‚間㯠ã‚ãã¾ã§ã‚‚目安ã§ã‚ã‚‹. システムã¯, ã‚ã‚‹ given clause ã«é–¢ã™ã‚‹ 処ç†ã‚’å…¨ã¦çµ‚ãˆãŸå¾Œã«, ã“ã®ãƒ‘ラメータã«ã‚ˆã‚‹åˆ¶ç´„を検査ã™ã‚‹. \item[max-gen] [-1 ... most-positive-fixnum]\\ åˆæœŸå€¤ã¯ -1. ã‚‚ã— $n\neq -1$ ãªã‚‰ã°, ãŠã‚ˆã $n$ 個㮠導出節を生æˆã—ãŸæ™‚点ã§, 証明探索を中止ã™ã‚‹. システムã¯, ã‚ã‚‹ given clause ã«é–¢ã™ã‚‹å‡¦ç†ã‚’å…¨ã¦çµ‚ãˆãŸæ™‚点㧠ã“ã®ãƒ‘ラメータã«ã‚ˆã‚‹åˆ¶ç´„を検査ã™ã‚‹ã®ã§, 設定ã—ãŸæ•°ã¯ã‚ãã¾ã§ã‚‚ 目安ã§ã‚ã‚‹. \item[max-kept] [-1 ... most-positive-fixnum]\\ åˆæœŸå€¤ã¯ -1. ã‚‚ã— $n\neq -1$ ãªã‚‰ã°, ãŠã‚ˆã $n$ 個ã®ç¯€ãŒ ä¿æŒã•ã‚ŒãŸå¾Œã§, 証明探索を中止ã™ã‚‹. システムã¯, ã‚ã‚‹ given clause ã«é–¢ã™ã‚‹å‡¦ç†ã‚’å…¨ã¦çµ‚ãˆãŸæ™‚点㧠ã“ã®ãƒ‘ラメータã«ã‚ˆã‚‹åˆ¶ç´„を検査ã™ã‚‹ã®ã§, 設定ã—ãŸæ•°ã¯ã‚ãã¾ã§ã‚‚ 目安ã§ã‚ã‚‹. \item[max-given] [-1 .. most-positive-fixnum] \\ åˆæœŸå€¤ã¯ -1. ã‚‚ã— $n\neq -1$ ãªã‚‰ã°, å–り出ã—㟠given-clause ã®æ•°ãŒ $n$ 個ã«é”ã—ãŸæ™‚点ã§, 証明探索を中止ã™ã‚‹. \end{description} \subsection{導出節ã«å¯¾ã™ã‚‹åˆ¶ç´„設定パラメータ} \begin{description} \item[max-weight] [-1 ... most-positive-fixnum] \\ åˆæœŸå€¤ã¯ most-positive-fixnum. 生æˆã•ã‚ŒãŸå°Žå‡ºç¯€ã®é‡ã¿ãŒã“ã®ãƒ‘ラメータã§æŒ‡å®šã•ã‚ŒãŸå€¤ã‚’越ãˆãŸå ´åˆã¯, ãã®ç¯€ã‚’æ¨ã¦ã‚‹. -1 ã¯ç„¡åˆ¶é™ã‚’æ„味ã™ã‚‹. \end{description} \subsection{ãã®ä»–ã®ãƒ‘ラメータ} \label{sec:misc-params} \begin{description} \item[pick-given-ratio] [-1 ... most-positive-fixnum] \\ åˆæœŸå€¤ã¯ -1. sos ã‹ã‚‰ç¯€ã‚’é‡ã¿ã§é¸ã¶å ´åˆ, ã“ã“ã§æŒ‡å®šã•ã‚ŒãŸæ•°ã®ç¯€ãŠãã«, é‡ã¿ã«ã¯ã‚ˆã‚‰ãšã«, sos をリストã¨ã¿ãªã—ãŸå…ˆé ­ã«ã‚る節を given-clause ã¨ã—ã¦é¸ã¶. -1 ã¯æŒ‡å®šç„¡ã—ã‚’æ„味ã™ã‚‹. \item[demod-limit] [-1 ... most-positive-fixnum] \\ åˆæœŸå€¤ã¯ 1000. 一ã¤ã®ãƒªãƒ†ãƒ©ãƒ«ã«å¯¾ã—ã¦ä¸€åº¦ã«å®Ÿè¡Œã™ã‚‹ demodulation ã§ã® 書ãæ›ãˆå›žæ•°ã®æœ€å¤§å€¤ã‚’指定ã™ã‚‹. 書ãæ›ãˆå›žæ•°ãŒã“ã“ã§æŒ‡å®šã•ã‚ŒãŸæ•°ã‚’越㈠ãŸæ™‚点ã§, ãã®ãƒªãƒ†ãƒ©ãƒ«ã® demodulation ã¯ä¸­æ–­ã•ã‚Œã‚‹. 値㌠-1 ã®å ´åˆã¯åˆ¶ é™ãŒç„¡ã„事をæ„味ã™ã‚‹. \item[max-proofs] [-1 ... most-positive-fixnum] \\ åˆæœŸå€¤ã¯ 1. 一度ã®æŽ¨è«–プロセスã§å¾—られãŸç©ºç¯€ã®æ•°ãŒ, ã“ã®ãƒ‘ラメータã§æŒ‡å®šã•ã‚ŒãŸæ•°ã« é”ã—ãŸå ´åˆã«æŽ¨è«–プロセスを中断ã™ã‚‹. -1 ã¯ç„¡åˆ¶é™ã‚’æ„味ã™ã‚‹. \item[stats-level] [0 ... 4] \\ åˆæœŸå€¤ã¯ 2. 推論プロセスã®æœ€å¾Œã«å°å­—ã•ã‚Œã‚‹çµ±è¨ˆæƒ…å ±ã®è©³ç´°åº¦ã‚’指定ã™ã‚‹. \item[max-sos] [-1 ... most-positive-fixnum] \\ åˆæœŸå€¤ã¯ -1. sos ã«æ ¼ç´ã•ã‚Œã¦ã„る節ã®æ•°ãŒã“ã®ãƒ‘ラメータã§æŒ‡å®šã•ã‚Œã¦ã„ る数を越ãˆãŸå ´åˆã«, max-weight パラメータã®è‡ªå‹•å†è¨­å®šã‚’実行ã™ã‚‹. -1 ã¯ç„¡åˆ¶é™ã‚’æ„味ã™ã‚‹. \end{description} \section{自動モード} \label{sec:auto-mode} 本節ã§ã¯è‡ªå‹•ãƒ¢ãƒ¼ãƒ‰ã«ãŠã‘るフラグやパラメータã®ã‚»ãƒƒãƒ†ã‚£ãƒ³ã‚°, sos 㨠usable ã¸ã®ç¯€ã®æŒ¯ã‚Šåˆ†ã‘ã«é–¢ã—ã¦èª¬æ˜Žã™ã‚‹. フラグ auto ã‚ã‚‹ã„㯠auto3 ㌠on ã®å ´åˆ, åé§ã‚¨ãƒ³ã‚¸ãƒ³ã¯, 入力節(文脈ã¨ãªã£ ã¦ã„ã‚‹ CafeOBJ モジュールã«å«ã¾ã‚Œã‚‹å…¬ç†ã‹ã‚‰å¾—られãŸç¯€é›†åˆ)をスキャンã—, ã„ãã¤ã‹ã®ç°¡å˜ãªæ§‹æ–‡çš„ãªæ€§è³ªã‚’調ã¹ã¦æŽ¨è«–ルールã¨æŽ¢ç´¢æˆ¦ç•¥ã‚’自動決定ã™ã‚‹. é¸æŠžã•ã‚Œã‚‹æŽ¢ç´¢æˆ¦ç•¥ã¯(フラグ control-memory を除ã‘ã°)通常 refutation complete (åé§å¯èƒ½ãªç¯€é›†åˆã§ã‚ã‚Œã°, å¿…ãšåé§å‡ºæ¥ã‚‹)ã§ã‚ã‚‹. ã—ã‹ã—, 効率ã®è‰¯ã„戦略ãŒè‡ªå‹•è¨­å®šã•ã‚Œã‚‹ã¨ã¯æœŸå¾…ã™ã¹ãã§ã¯ãªã„. 自動モードã§ã¯, 多ãã®ç°¡å˜ãªå®šç†ã®è¨¼æ˜ŽãŒå¯èƒ½ã§ã‚ã‚‹. ã¾ãŸ, 証明ã«å¤±æ•—ã™ã‚‹ よã†ãªå ´åˆã§ã‚‚, 手動ã«ã‚ˆã‚‹å®šç†è¨¼æ˜Žã®è‰¯ã„出発点をæä¾›ã™ã‚‹. \textbf{フラグ auto/auto3 ã¯, ä»–ã®ã©ã®ãƒ•ãƒ©ã‚°ã®ã‚»ãƒƒãƒ†ã‚£ãƒ³ã‚°ã‚ˆã‚Šã‚‚å…ˆã«å®Ÿè¡Œ ã•ã‚Œãªã‘ã‚Œã°ãªã‚‰ãªã„}. ã™ãªã‚ã¡, コマンド flag(auto,on) ã¯ä»–ã®ãƒ•ãƒ©ã‚°ã® セットコマンドよりも先ã«ã‚¤ãƒ³ã‚¿ãƒ—リタã«å…¥åŠ›ã•ã‚Œã‚‹ã¹ãã§ã‚ã‚‹. フラグ auto(auto3) ㌠on ã«ã‚»ãƒƒãƒˆã•ã‚ŒãŸæ™‚点ã§, ä»–ã®ä¾å­˜ã™ã‚‹ãƒ•ãƒ©ã‚°ã‚„パラ メータãŒæ¬¡ã®ã‚ˆã†ã«è‡ªå‹•è¨­å®šã•ã‚Œã‚‹: \begin{itemize} \item process-input → on \item print-kept → off \item print-new-demod → off \item print-back-demod → off \item print-back-sub → off \item control-memory → on \item max-sos → 500 \item pick-given-ratio → 4 \item stats-level → 2 \end{itemize} 次ã„ã§, resolve コマンドã«ã‚ˆã£ã¦åé§ã‚¨ãƒ³ã‚¸ãƒ³ãŒèµ·å‹•ã•ã‚Œã‚‹éš›ã«, システム㯠入力節を走査ã—, 得られãŸæ§‹æ–‡çš„ãªæ€§è³ªã®å†…容ã‹ã‚‰ã©ã®æŽ¨è«–ルールを使用ã™ã‚‹ã‹ を判定ã™ã‚‹. ãã®çµæžœé©å½“ãªãƒ•ãƒ©ã‚°ã‚„パラメータã®è¨­å®šãŒè¡Œã‚れる. 入力節ã®èµ°æŸ»æ™‚ã«èª¿ã¹ã‚‰ã‚Œã‚‹æ§‹æ–‡çš„ãªæ€§è³ªã¯ä»¥ä¸‹ã®ã‚‚ã®ã§ã‚る： \begin{enumerate} \item[(1)] propositional ã‹\\ ã¤ã¾ã‚Š, å…¨ã¦ã®ç¯€ãŒå¤‰æ•°ã‚’æŒãŸãªã„å ´åˆ. \item[(2)] Horn 節ã‹\\ ã¤ã¾ã‚Š, å…¨ã¦ã®ç¯€ãŒé«˜ã€…一ã¤ã®æ­£ã®ãƒªãƒ†ãƒ©ãƒ«ã‚’æŒã¤å ´åˆ. \item[(3)] equality ãŒã‚ã‚‹ã‹\\ ã¤ã¾ã‚Š, å°‘ãªãã¨ã‚‚一ã¤ã® $A = B$ ã‚ã‚‹ã„㯠$〜(A = B)$ ã®å½¢ã® リテラルをæŒã¤ç¯€ãŒã‚ã‚‹å ´åˆ. \item[(4)] equality axiom ãŒã‚ã‚‹ã‹\\ ã¤ã¾ã‚Š, å°‘ãªãã¨ã‚‚一㤠$A = B \rightarrow B = A$ ã«ç›¸å½“ã™ã‚‹ 節ãŒã‚ã‚‹å ´åˆ. \item[(5)] 節ã«å«ã¾ã‚Œã‚‹ãƒªãƒ†ãƒ©ãƒ«å€‹æ•°ã®æœ€å¤§å€¤ \end{enumerate} ã¤ãŽã«, ã“れらã®æ€§è³ªã‚’組ã¿åˆã‚ã›ãŸç°¡å˜ãª 6 ã¤ã®ã‚±ãƒ¼ã‚¹ã«åˆ†é¡žã™ã‚‹ \begin{enumerate} \item[(1)] propositional \item[(2)] å…¨ã¦ã®ç¯€ãŒå˜ä¸€ç¯€ã§ equality \item[(3--6)] \{equality, Horn\} ã®4ã¤ã®çµ„ã¿åˆã‚ã› \end{enumerate} ã“れらã®ã‚±ãƒ¼ã‚¹ã«å¯¾å¿œã—ã¦ã©ã®ã‚ˆã†ãªè¨­å®šãŒãªã•ã‚Œã‚‹ã‹ã¯, システムã®å‡ºåŠ›ã‚’見 る事ã§çŸ¥ã‚‹äº‹ãŒå‡ºæ¥ã‚‹. 一般ã«ç­‰å¼ãŒå«ã¾ã‚Œã‚‹å ´åˆã¯, paramodulation, demodulation ãŒç„¡æ¡ä»¶ã§æœ‰åŠ¹ã¨ã•ã‚Œã‚‹. ã“ã®å ´åˆ, ç´°ã‹ãªè¨­å®šã¯, フラグ kb ã‚ã‚‹ã„㯠kb2 を内部的㫠on ã«ã™ã‚‹ã“ã¨ã§è¡Œã†(kb ãŠã‚ˆã³ kb2 ã«ã¤ã„ã¦ã¯, 第 \ref{sec:eq-flags}節をå‚ç…§). auto 㨠auto3 ã®é•ã„ã¯ã“ã“ã®ã¿ã«ã‚ã‚Š, auto ã®å ´åˆã¯ kb, auto3 ã®å ´åˆã¯ kb2 ㌠on ã«ã•ã‚Œã‚‹. ã‚ã¨ã®å‹•ä½œã¯å…¨ãåŒã˜ã§ã‚ã‚‹. 次ã«å…¥åŠ›ç¯€ã® sos ãŠã‚ˆã³ usable ã¸ã®æŒ¯ã‚Šåˆ†ã‘ã§ã‚ã‚‹ãŒ, æ­£ã®ç¯€(ã™ã¹ã¦ã® リテラルãŒæ­£ã®ç¯€)ã‚’ sos ã¸, ãれ以外ã®ç¯€ã¯ usable ã¸å…¥ã‚Œã‚‰ã‚Œã‚‹. \section{統計情報} \label{sec:statistics} 本節ã§ã¯æŽ¨è«–プロセス実行中ã«åŽé›†ã•ã‚Œã‚‹ã•ã¾ã–ã¾ãªçµ±è¨ˆæƒ…å ±ã«ã¤ã„ã¦èª¬æ˜Žã™ã‚‹. 以下ã«ç¤ºã™ã®ã¯ã‚·ã‚¹ãƒ†ãƒ ãŒå®Ÿè¡Œä¸­ã«åŽé›†ã•ã‚Œã‚‹æƒ…å ±ã®ä¸€è¦§ã§ã‚ã‚‹. \begin{tabular}[htcb]{l|p{0.74\textwidth}}\hline cl-generated & 推論中ã«ç”Ÿæˆã•ã‚ŒãŸç¯€ã®åˆè¨ˆæ•°. \\ cl-kept & 導出節ã®ã†ã¡, sos ã«å…¥ã‚Œã‚‰ã‚ŒãŸç¯€ã®åˆè¨ˆæ•°. フラグ process-input ㌠on ã®å ´åˆã¯, usable ã‚„ sos ã®åˆæœŸé›†åˆã« 対ã—ã¦è¡Œã‚れるå‰å‡¦ç†ã«ã‚ˆã£ã¦, usable ã‚ã‚‹ã„㯠sos ã«æ®‹ã•ã‚ŒãŸç¯€ã® æ•°ã‚‚å«ã¾ã‚Œã‚‹. \\ cl-for-sub & forward subsume ã•ã‚Œã¦æ¨ã¦ã‚‰ã‚ŒãŸãŸç¯€ã®åˆè¨ˆæ•°. \\ cl-back-sub & back subsume ã•ã‚ŒãŸæ¨ã¦ã‚‰ã‚ŒãŸç¯€ã®åˆè¨ˆæ•°. \\ cl-tautology & tautology ã¨åˆ¤æ–­ã•ã‚Œã¦æ¨ã¦ã‚‰ã‚ŒãŸç¯€ã®åˆè¨ˆæ•°.\\ cl-given & given clause ã¨ã—㦠sos 集åˆã‹ã‚‰å–り出ã•ã‚ŒãŸç¯€ã®åˆè¨ˆæ•°.\\ cl-wt-delete & max-weight を越ãˆãŸãŸã‚ã«æ¨ã¦ã‚‰ã‚ŒãŸç¯€ã®åˆè¨ˆæ•°. \\ rewrites & demodulation ã«ã‚ˆã‚‹æ›¸ãæ›ãˆå›žæ•°ã®ç·åˆè¨ˆ. \\ unit-deletes & unit deletion ã«ã‚ˆã£ã¦å‰Šé™¤ã•ã‚ŒãŸãƒªãƒ†ãƒ©ãƒ«ã®åˆè¨ˆæ•°. \\ empty-clauses & 推論中ã«å°Žå‡ºã•ã‚ŒãŸç©ºç¯€ã®åˆè¨ˆæ•°.\\ for-sub-sos & sos ã«å«ã¾ã‚Œã‚‹ç¯€ã«ã‚ˆã£ã¦ subsume ã•ã‚Œ, æ¨ã¦ã‚‰ã‚ŒãŸ 節ã®åˆè¨ˆæ•°.\\ new-demods & 推論中ã«ç”Ÿæˆã•ã‚ŒãŸ demodulator ã®åˆè¨ˆæ•°. \\ cl-back-demod & 推論中ã«è¡Œã‚れ㟠back demodulation ã®åˆè¨ˆæ•°. \\ sos-size & sos ã«å«ã¾ã‚Œã¦ã„る節ã®æ•°. \\ usable-size & usable ã«å«ã¾ã‚Œã¦ã„る節ã®æ•°. \\ demodulators-size & demodulator ã®æ•°. \\ binary-res-gen & binary resolution ã«ã‚ˆã£ã¦å°Žå‡ºã•ã‚ŒãŸç¯€ã®åˆè¨ˆæ•°. \\ hyper-res-gen & hyper resolution ã«ã‚ˆã£ã¦å°Žå‡ºã•ã‚ŒãŸç¯€ã®åˆè¨ˆæ•°. \\ neg-hyper-res-gen & negative hyper resolution ã«ã‚ˆã£ã¦å°Žå‡ºã•ã‚ŒãŸ 節ã®åˆè¨ˆæ•°.\\ para-into-gen & paramodulation into ã«ã‚ˆã£ã¦å°Žå‡ºã•ã‚ŒãŸç¯€ã® åˆè¨ˆæ•°. \\ para-from-gen & paramodulation from ã«ã‚ˆã£ã¦å°Žå‡ºã•ã‚ŒãŸç¯€ã® åˆè¨ˆæ•°. \\ demod-inf-gen & demodulation ã‚’è¡Œã£ãŸå›žæ•°. \\ factor-simplifications & factor simplification ã‚’è¡Œã£ãŸå›žæ•°. \\ factor-gen & factoring ã§ç”Ÿæˆã•ã‚ŒãŸç¯€ã®åˆè¨ˆæ•°. \\ \hline \end{tabular} フラグ print-stats ã®å€¤ãŒ on ã§ã‚ã£ãŸå ´åˆã«, 推論プロセスã®çµ‚ã‚Šã«, ãã‚Œ ã¾ã§åŽé›†ã•ã‚ŒãŸçµ±è¨ˆæƒ…å ±ãŒå°å­—ã•ã‚Œã‚‹. å°å­—ã™ã‚‹çµ±è¨ˆæƒ…å ±ã®å†…容ã¯, パラメータ stats-level ã®å€¤ã«å¿œã˜ã¦å†…容を変㈠る. 一般㫠stats-level ã®å€¤ãŒå¤§ãã„程, より詳細ãªæƒ…報をå°å­—ã•ã‚Œã‚‹ï¼š \begin{itemize} \item stats-level ã®å€¤ãŒ 0 〜 2 ã®å ´åˆã¯ä»¥ä¸‹ã®æƒ…報をå°å­—ã™ã‚‹ \begin{itemize} \item[] cl-given \item[] cl-generated \item[] cl-kept \item[] cl-for-sub \item[] cl-back-sub \end{itemize} \item stats-level ㌠3 以上ã®å ´åˆã¯å…¨ã¦ã®çµ±è¨ˆæƒ…報をå°å­—ã™ã‚‹. \end{itemize} \section{証明木ã¨ãã®å°å­—} \label{sec:proof-tree} 空節ãŒå¾—られãŸå ´åˆã«, 空節を導出ã™ã‚‹éŽç¨‹ã«é–¢ã£ãŸç¯€ã‚’é †ã«ãŸã©ã‚‹ã“ã¨ã«ã‚ˆã£ã¦, 空節ã®å°Žå‡ºéŽç¨‹ã‚’知るã“ã¨ãŒå¯èƒ½ã§ã‚ã‚‹. 第~\ref{sec:print-clause}ç« ã§è¿°ã¹ã‚‰ã‚Œã¦ã„る通り, 節をå°å­—ã™ã‚‹éš›ã«ã¯, ã ã®å°Žå‡ºå±¥æ­´ã‚‚åˆã‚ã›ã¦è¡¨ç¤ºã•ã‚Œã‚‹. 従ã£ã¦, ã“れらã®ç¯€ã‚’識別å­ç•ªå·ã®é †ã«ä¸¦ã¹ ãŸãƒªã‚¹ãƒˆã¯, 証明木(åé§æœ¨)ã¨è¦‹ã‚‹äº‹ãŒå‡ºæ¥ã‚‹. システムã¯, フラグ \texttt{print-proof} ㌠on ã®å ´åˆã«, 空節ã«å‡ºé£Ÿã‚ã™æ¯Žã«, ã“ã®ã‚ˆã†ãªåé§æœ¨ã‚’å°å­—ã™ã‚‹. 下ã¯å®Ÿéš›ã®è¨¼æ˜Žæœ¨å°å­—ã®ä¾‹ã§ã‚る： 最後ã®ç¯€ 163 ãŒå¾—られãŸç©ºç¯€ã§ã‚ã‚‹. ã“ã®ç¯€ã‚’導出ã™ã‚‹ã®ã«ä½¿ã‚ã‚ŒãŸç¯€ãŒ, 節番å·ã®è‹¥ã„é †ã«è¡¨ç¤ºã•ã‚Œã¦ã„る事ãŒè§£ã‚‹. ã“れらã®ç¯€ã®å°Žå‡ºå±¥æ­´ã‚’見る事ã«ã‚ˆã‚Š, ã©ã®ã‚ˆã†ãªéŽç¨‹ã‚’経㦠空節ãŒå¾—られãŸã‹ã‚’調ã¹ã‚‹äº‹ãŒå‡ºæ¥ã‚‹. \begin{vvtm} \begin{examplev} ** PROOF ________________________________ 1:[] 0 <= balance(#c-1.Account) 2:[back-demod:161] ~(0 <= (balance(#c-1.Account) + #c-1.Int)) 5:[] ~(0 <= _v34:Int) | balance(deposit(_v34:Int,_v33:Account)) = balance(_v33) + _v34 6:[] 0 <= _v62:Int | balance(deposit(_v62:Int,_v63:Account)) = balance(_v63) 10:[] ~(0 <= _v41:Int) | ~(0 <= _v42:Int) | 0 <= (_v41:Int + _v42:Int) 136:[para-from:6,2,unit-del:1] 0 <= #c-1.Int 150:[hyper:136,10,1] 0 <= (balance(#c-1.Account) + #c-1.Int) 161:[hyper:136,5] balance(deposit(#c-1.Int,_v175:Account)) = balance(_v175) + #c-1.Int 162:[back-demod:161,2] ~(0 <= (balance(#c-1.Account) + #c-1.Int)) 163:[binary:162,150] ** ______________________________________ \end{examplev} \end{vvtm} \subsection{導出履歴欄ã®è¦‹æ–¹} \label{sec:history} 節ã®è¡¨ç¤ºã®å°Žå‡ºå±¥æ­´æ¬„ã¯ä¸€èˆ¬çš„ã«æ¬¡ã®å½¢ã‚’ã—ã¦ã„る： \begin{vvtm} \begin{simplev} <導出履歴欄> ::= <導出履歴>{,<導出履歴>}* <導出履歴> ::= <導出ルール>：[<節番å·>{,<節番å·>}*] \end{simplev} \end{vvtm} ã¤ã¾ã‚Š $<$導出履歴$>$ をコンマ記å·ã§ä¸¦ã¹ãŸã‚‚ã®ã§ã‚ã‚‹. 一ã¤ã® $<$導出履歴$>$ ã¯, 具体的ã«ã©ã®ã‚ˆã†ãªå‡¦ç†ã«ã‚ˆã£ã¦ 生æˆã•ã‚ŒãŸã‹ã‚’示㙠$<$導出ルール$>$ ã¨, オプション㧠$<$節番å·$>$ をコンマ記å·ã§ç¹‹ã’ãŸãƒªã‚¹ãƒˆã‹ã‚‰ãªã‚‹. 例ãˆã°, \begin{vvtm} \begin{examplev} para-from:6,2,unit-del:1 \end{examplev} \end{vvtm} ã§ã¯, \texttt{para-from} 㨠\texttt{unit-del} ãŒå°Žå‡ºãƒ«ãƒ¼ãƒ« ã«ç›¸å½“ã—, \texttt{para-from} ã¯, 節6 㨠2 ãŒ, ã¾ãŸ \texttt{unit-del} ã§ã¯, ç¯€ç•ªå· 1 をオプション㮠$<$節番å·$>$ ã¨ã—ã¦æŒã¤. 以下å„導出履歴ã®èª­ã¿æ–¹ã«ã¤ã„ã¦èª¬æ˜Žã‚’ã™ã‚‹. \begin{description} \item{}\texttt{[bin-res:clause-1,clause-2]}\\ binary resolution(\texttt{bin-res}) ã«ã‚ˆã£ã¦ç”Ÿæˆã•ã‚ŒãŸ. clause-1 㯠given clause ã®ç¯€ç•ªå·. clause-2 ã¯, ã“れ㨠resolve ã—ãŸç¯€ã®ç¯€ç•ªå·. \item{}\texttt{[prop-res:clause-1,clause-2]}\\ propositional resolution(\texttt{prop-res}) ã«ã‚ˆã£ã¦ç”Ÿæˆã•ã‚ŒãŸ. clause-1 㯠given clause ã®ç¯€ç•ªå·. clause-2 ã¯, ã“れ㨠resolve ã—㟠節ã®ç¯€ç•ªå·. \item{}\texttt{[hyper-res:clause-1,claus-2,..,clause-n]}\\ hyper resolution(\texttt{hyper-res})ã«ã‚ˆã£ã¦ç”Ÿæˆã•ã‚ŒãŸ. clause-1 㯠given clause ã®ç¯€ç•ªå·. clasuse-2 .. clause-n ã¯ã“れ㨠resolve ã—ãŸç¯€ ã®ç¯€ç•ªå·. \item{}\texttt{[neg-hyper-res:clause-1,clause-2,...,clause-n]}\\ negative hyper resolution(\texttt{neg-hyper-res}) ã«ã‚ˆã£ã¦ç”Ÿæˆã•ã‚ŒãŸ. clause-1 㯠given clause ã®ç¯€ç•ªå·. clause-2 ... clause-n ã¯ã“れ㨠resolve ã—ãŸç¯€ã®ç¯€ç•ªå·. \item{}\texttt{[para-into:clause-1,clause-2]}\\ paramodulation into(\texttt{para-into}) ã«ã‚ˆã£ã¦ç”Ÿæˆã•ã‚ŒãŸ. clause-1 ãŒã‚ªãƒªã‚¸ãƒŠãƒ«ãªç¯€, clause-2 ㌠paramodulator ã§ã‚ã‚‹. \item{}\texttt{[para-from:clause-1,clause-2]}\\ \texttt{para-from} ã«ã‚ˆã£ã¦ç”Ÿæˆã•ã‚ŒãŸ. clause-1 ãŒã‚ªãƒªã‚¸ãƒŠãƒ«ã®ç¯€, clause-2 ㌠paramodulator ã§ã‚ã‚‹. \item{}\texttt{[fsimp:]} \\ factor simplification(\texttt{factor-simp})ã«ã‚ˆã£ã¦ 生æˆã•ã‚ŒãŸ. \item{}\texttt{[back-demod:clause-1,claus-2,...,clause-n]}\\ clause-1...clause-n ã«ã‚ˆã£ã¦ back demodulate(\texttt{back-demod})ã•ã‚Œã¦ç”Ÿæˆã•ã‚ŒãŸ. ã“ã®å ´åˆ, も㨠もã¨ã®ã‚ªãƒªã‚¸ãƒŠãƒ«ãªç¯€ã®å†…容ã°ç ´å£Šçš„ã«å¤‰æ›´ã•ã‚Œã¦ã„ã‚‹. \item{}\texttt{[demod:clause-1,clause2,...,clause-n]}\\ clause-1..clause-n ã«ã‚ˆã£ã¦ demodulation ãŒæ–½ã•ã‚Œã¦ç”Ÿæˆã•ã‚ŒãŸ. \texttt{back-demod}ã®å ´åˆã¨åŒæ§˜, オリジナルãªç¯€ã®å†…容ã¯ç ´å£Šçš„ã«å¤‰æ›´ã•ã‚Œã¦ã„ã‚‹. \item{}\texttt{[copy:clause-1]} \\ 内部処ç†ã§clause-1ã®ç¯€ã‚’コピーã—ã¦ç”Ÿæˆã•ã‚ŒãŸ. \item{}\texttt{[flip:]} \\ ç­‰å¼ã®å·¦å³è¾ºã®å…¥ã‚Œæ›ãˆã«ã‚ˆã£ã¦ç”Ÿæˆã•ã‚ŒãŸ. \item{}\texttt{[unit-del:clause-1]}\\ clause-1 ã¨ã® unit deletion(\texttt{unit-del})㫠よã£ã¦ç”Ÿæˆã•ã‚ŒãŸ. \item{}\texttt{[back-unit-del:clause-1]}\\ clause-1ã¨ã®back unit deletion(\texttt{back-unit-del}) ã«ã‚ˆã£ã¦ç”Ÿæˆã•ã‚ŒãŸ. \end{description} %%%%%%%%%%% \section{é …ã®é †åºä»˜ã‘㨠Demodulation} \label{sec:term-ordering} フラグ \texttt{order-eq} ㌠on ã®å ´åˆã«ã¯ç­‰å¼ã®å·¦å³è¾ºã®é …ã®å¤§å°æ¯”較ãŒè¡Œã‚ ã‚Œ, 大ãã„方を左辺ã«æŒã£ã¦æ¥ã‚‹ã‚ˆã†ä¸¦ã¹å¤‰ãˆã‚‹ã¨ã„ã†å‡¦ç†ãŒè¡Œã‚れる(ã“れを 「等å¼ã®æ–¹å‘ã¤ã‘ã€ã¨å‘¼ã¶). ã“ã®ä»–ã«ã‚‚ã•ã¾ã–ã¾ãªæ–‡è„ˆã§, é …ã®å¤§ãã•ã®æ¯”較 ãŒè¡Œã‚れる. 大å°æ¯”較ã«éš›ã—ã¦ã¯, 「å˜ç´”辞書å¼é †ã€ 㨠「辞書å¼å†å¸°ãƒ‘ス順åº(lrpo)〠(lexicographic recursive path ordering) ã®2種ã®é †åºä»˜ã‘ã®ã†ã¡ã©ã¡ã‚‰ã‹ãŒ 用ã„られる(「å˜ç´”辞書å¼é †ã€ã¯ãªã‚“らç†è«–çš„ãªèƒŒæ™¯ã‚’æŒãŸãªã„ã“ã¨ã‹ã‚‰ Ad Hoc ãªé †åºä»˜ã‘ã¨ã‚‚呼ã°ã‚Œã‚‹. ) フラグ \texttt{lrpo} ãŒã“れらã©ã¡ã‚‰ã®é †åºã¤ã‘を使用ã™ã‚‹ã‹ã‚’決ã‚, ã“れ㌠on ã®å ´åˆã¯ lrpo を用ã„, ãã†ã§ãªã‘れ㰠ad hoc ãªé †åºã¤ã‘を用ã„ã‚‹. \subsection{å˜ç´”辞書å¼é † -- Ad Hoc} \label{sec:ad-hoc-lex} \subsubsection{é …ã®é †åº (Ad Hoc)} \label{sec:lex-order} å˜ç´”ãªè¾žæ›¸å¼é †ã«ã‚ˆã‚‹é …ã®æ¯”較ã®å ´åˆ, システムã§ã¯, 「辞書å¼é †ã€ã¨ã€Œé‡ã¿ -辞書å¼é †ã€ã®2種類ã®é †åºä»˜ã‘方法ãŒä½¿ã‚ã‚Œã¦ã„ã‚‹. 利用者ãŒã“れらをé¸æŠžã™ã‚‹ ã“ã¨ãŒå‡ºæ¥ã‚‹ã‚ã‘ã§ã¯ãªã, é †åºã¤ã‘ã‚’è¡Œã†æ–‡è„ˆã«å¿œã˜ã¦, システムãŒã“れらを 使ã„分ã‘ã¦ã„ã‚‹. \begin{description} \item[辞書å¼é †] ã“ã‚Œã°åŸºæœ¬çš„ãªè¾žæ›¸å¼é †ã«ã‚ˆã‚‹è¨˜å·ã®é †åºã¤ã‘ã§ã‚ã‚‹. 2ã¤ã®é …を比較ã™ã‚‹ éš›ã«, ãれらを左ã‹ã‚‰å³ã¸ã¨èª­ã‚“ã§è¡Œã, ç•°ãªã‚‹æ¼”ç®—å­è¨˜å·ã‚ã‚‹ã„ã¯å¤‰æ•°ã« 出食ã‚ã—ãŸæ™‚点ã§ã‚¹ãƒˆãƒƒãƒ—ã™ã‚‹. ã“れらã®äº’ã„ã«ç•°ãªã‚‹è¨˜å·ã®å¤§å°æ¯”較ã®çµæžœ ãŒ, é …ã®å¤§å°é–¢ä¿‚を決定ã™ã‚‹. 変数記å·ã¨ã®æ¯”較ã¯ãƒ•ãƒ©ã‚° \texttt{lex-order-vars} ã®å€¤ã«ä¾å­˜ã™ã‚‹. \begin{description} \item[\texttt{lex-order-vars} ㌠on.] ã“ã®å ´åˆå¤‰æ•°ã‚‚比較ã®å¯¾è±¡ã¨ãªã‚‹. 変数ã¯è¨˜å·é †åºã§ä¸€ç•ªå°ã•ã„ã¨æ±ºã‚られã¦ãŠã‚Š, 変数åŒå£«ã¯ãã®åå‰ã®è¾žæ›¸ å¼é †ã§å¤§å°ã‚’決ã‚ã‚‹. åå‰ã®ä¸Šã®è¾žæ›¸å¼é †åºã«ã‚ˆã‚‹æ¯”較ã¯ãƒˆãƒ¼ã‚¿ãƒ«(ä»»æ„ã®2ã¤ã®åå‰ã¯æ¯”較å¯èƒ½ )ãªã®ã§, 辞書å¼é †ã«ã‚ˆã‚‹é …ã®é †åºã¤ã‘もトータルã§ã‚ã‚‹. 変数æŸç¸›ã«ã‚ˆã£ã¦, 相対的ãªé …ã®å¤§å°é–¢ä¿‚ãŒå¤‰åŒ–ã™ã‚‹å ´åˆãŒã‚ã‚‹ã“ã¨ã« 注æ„ã•ã‚ŒãŸã„. \item[\texttt{lex-order-vars} ㌠off (åˆæœŸå€¤).] 変数ã¯åŒä¸€ã®å¤‰æ•°ã§ã‚ã‚‹ã‹ã©ã†ã‹ã ã‘ãŒåˆ¤å®šã•ã‚Œã‚‹. 従ã£ã¦é …ã®é †åºã¯éƒ¨åˆ†çš„ã§ã‚ã‚‹(大å°ã®åˆ¤å®šãŒä¸å¯èƒ½ãªå ´åˆãŒã‚ã‚‹). 変数を比較ã®å¯¾è±¡ã¨ã¯ã—ãªã„ã®ã§, ã‚‚ã—, $t_1 \prec t_2$, ã§ã‚ã‚Š, $\sigma$ を変数置æ›ã¨ã—ãŸå ´åˆ, $t_1\sigma \prec t_2\sigma$ ã§ã‚ã‚‹. ã¤ã¾ã‚Š, 変数㮠instantiation ã‚’è¡Œã£ã¦ã‚‚é …ã®ç›¸å¯¾çš„ãªå¤§å°é–¢ä¿‚ã«å¤‰ã‚ã‚Šã¯ãªã„. \end{description} \item[é‡ã¿-辞書å¼é †] 二ã¤ã®é …を比較ã™ã‚‹éš›ã«, ã¾ãšæœ€åˆã«é …ã®é‡ã¿(é …ã«å«ã¾ã‚Œã‚‹ã‚ªãƒšãƒ¬ãƒ¼ã‚¿ã¨ 変数ã®æ•°ã®åˆè¨ˆ)ã§æ¯”較ã™ã‚‹. 一方ã®é …ã®æ–¹ãŒé‡ã‘ã‚Œã°, é †åºã«ãŠã„ã¦ã‚‚ 大ãã„ã¨åˆ¤å®šã•ã‚Œã‚‹. 両方ã®é …ã®é‡ã¿ãŒåŒã˜å ´åˆã¯, \texttt{lex-order-vars} ㌠off ã®å ´åˆã®, 辞書å¼é †ã§ã®æ¯”較ã¨åŒã˜æ–¹æ³•ã‚’å–ã‚‹. \end{description} \subsubsection{ç­‰å¼ã®æ–¹å‘付㑠(Ad Hoc)} \label{sec:orient} フラグ\texttt{order-eq} ㌠on ã§, \texttt{lrpo} ㌠off ã®å ´åˆ, 導出節ã«å«ã¾ れる等å¼ãƒªãƒ†ãƒ©ãƒ« $\alpha=\beta$ ã«å¯¾ã—㦠$\alpha$ 㨠$\beta$ を比較ã—ã¦, 以下ã®ã‚ˆã†ãªå‡¦ç†ãŒæ–½ã•ã‚Œã‚‹. ã“ã®å‡¦ç†ã®ã“ã¨ã‚’, \textbf{ç­‰å¼ã®æ–¹å‘ã¤ã‘}㨠呼ã¶. \begin{enumerate} \item ã©ã¡ã‚‰ã‹ã®é …ãŒä»–ã®é …ã®(真ã®)副項ã§ã‚ã‚Œã°, 副項ãŒç­‰å¼ã®å³è¾ºã« æ¥ã‚‹ã‚ˆã†ã«ä¸¦ã¹ã‚‰ã‚Œã‚‹. \item ã‚‚ã—一方ã®é …ãŒã€Œé‡ã¿-辞書å¼é †ã€ã§ä»–方より大ãã„å ´åˆã¯ 大ãã„æ–¹ãŒå·¦è¾ºã«æ¥ã‚‹ã‚ˆã†ã«ä¸¦ã¹ã‚‰ã‚Œã‚‹. \end{enumerate} ã¤ã¾ã‚Š, 大ãã„æ–¹ãŒå¸¸ã«å·¦è¾ºå´ã«æ¥ã‚‹ã‚ˆã†ã«ã‚¢ãƒ¬ãƒ³ã‚¸ã•ã‚Œã‚‹. ã“れ㯠lrpo ã‚’ 用ã„ãŸæ–¹å‘ã¤ã‘ã§ã‚‚åŒã˜ã§ã‚ã‚‹. \subsubsection{Dynamic Demodulator ã®åˆ¤å®š (Ad Hoc)} \label{sec:dynamic} フラグ\texttt{dynamic-demod}ã‚ã‚‹ã„ã¯, \texttt{dynamic-demod-all}㌠on ã® å ´åˆ, フラグ\texttt{order-eq}も自動的㫠on ã«ãªã£ã¦ã„ã‚‹ã¯ãšã§ã‚ã‚‹. ã“ã®å ´åˆ, システムã¯æŽ¨è«–ã®éŽç¨‹ã§å°Žå‡ºã•ã‚ŒãŸæ­£ã®ç­‰å¼ãƒªãƒ†ãƒ©ãƒ«ã®ã¿ã‚’å«ã‚€å˜ä¸€ 節を, ä»¥é™ demodulator(書ãæ›ãˆè¦å‰‡) ã¨ã—ã¦ç”¨ã„ã‚‹ã¹ã試ã¿ã‚‹. ã‚‚ã—, \texttt{process-input}㌠on ã§ã‚ã£ãŸå ´åˆã«ã¯, usable åŠã³ sos ã«å« ã¾ã‚Œã¦ã„ã‚‹åˆæœŸç¯€é›†åˆã®å€‹ã€…ã®ç¯€ã«ãŸã„ã—ã¦ã‚‚åŒã˜å‡¦ç†ãŒæ–½ã•ã‚Œã‚‹. 具体的ã«ã¯, ç­‰å¼ã‚’ $\alpha=\beta$ ã¨ã™ã‚‹ã¨, 以下ã®ã‚ˆã†ãªå‡¦ç†ãŒ æ–½ã•ã‚Œã‚‹(ã“ã®å‡¦ç†ã§ã¯ç­‰å¼ãŒæ—¢ã«æ–¹å‘ã¤ã‘ã•ã‚Œã¦ã„ã‚‹ã‚‚ã®ã¨ä»®å®šã—ã¦ã„ã‚‹.) 下ã®èª¬æ˜Žã§, $\succ$ ã¯é †åºé–¢ä¿‚ã®å¤§å°ã‚’表ç¾ã™ã‚‹ã®ã«ç”¨ã„られã¦ã„ã‚‹. ã™ãªã‚ã¡, $t \succ t'$ 㯠$t$ ㌠$t'$ より大ãã„事をæ„味ã™ã‚‹. ã¾ãŸ, $vars(t)$ ã¯, é … $t$ ã«å«ã¾ã‚Œã¦ã„る変数ã®é›†åˆ, $wt(t)$ ã¯é … $t$ ã®é‡ã•ã§ã‚ã‚‹. \begin{enumerate} \item ã‚‚ã— $\beta$ ㌠$\alpha$ ã®(真)部分項ã§ã‚ã‚Œã°, ã“ã®ç­‰å¼ã‚’ demodulator ã¨ã—ã¦ç”¨ã„ã‚‹. \item も㗠「é‡ã¿-辞書å¼é †ã€ ã®æ„味㧠$\alpha\succ\beta$ ã§ã‚ã‚Š, $vars(\alpha) \supseteq vars(\beta)$, ã®å ´åˆ \begin{itemize} \item[(a)] ã‚‚ã— \texttt{dynamic-demod-all} ㌠on ã§ã‚ã‚Œã°, ç­‰å¼ã‚’ demodulator ã¨ã™ã‚‹; \item[(b)] ã‚‚ã— \texttt{dynamic-demod-all} ㌠off ã§ã‚ã‚Š, $wt(\beta) \leq 1$, ãªã‚‰ã°, ç­‰å¼ã‚’ demodulator ã¨ã™ã‚‹. \end{itemize} \item ã‚‚ã—, フラグ \texttt{dynamic-demod-lex-dep} 㨠\texttt{dynamic-demod-all} ã®ä¸¡æ–¹ãŒ on ã®å ´åˆã¯, \begin{enumerate} \item $\alpha$ 㨠$\beta$ ãŒå¤‰æ•°ã‚’無視ã™ã‚Œã°åŒä¸€, ã‹ã¤ \item $vars(\alpha) \supseteq vars(\beta)$, \end{enumerate} ã§ã‚ã‚Œã°, ç­‰å¼ã‚’ lex-ä¾å­˜ã® demodulator ã¨ã™ã‚‹(次節--\ref{sec:lex-dep} ã‚’å‚ç…§). \end{enumerate} \subsubsection{Lex-ä¾å­˜ã® Demodulation (Ad Hoc)} \label{sec:lex-dep} å«ã¾ã‚Œã¦ã„る変数を全ã¦åŒã˜ $X$ ã§ç½®ãæ›ãˆãŸ2ã¤ã®é …ãŒ, åŒä¸€ã¨ãªã‚‹å ´åˆ, 2ã¤ã®é …ã¯, 「変数を無視ã—ã¦åŒã˜ã€ã¨è¨€ã‚れる. 入力節や動的 demodulator ã¯, ç­‰å¼ $\alpha=\beta$ ã«ãŠã„ã¦, $\alpha$ 㨠$\beta$ ãŒã€Œå¤‰æ•°ã‚’無視ã—ã¦åŒã˜ã€å ´åˆã«, lex-ä¾å­˜ã® demodulator ã¨å‘¼ã°ã‚Œ ã‚‹. (lex-ä¾å­˜ã®å‹•çš„ demodulator ã®åˆ¤å®šã«ã¤ã„ã¦ã¯, 第\ref{sec:dynamic}節 ã‚’å‚ç…§ã•ã‚ŒãŸã„). lex-ä¾å­˜ã® demodulator ã¯, 書ãæ›ãˆã‚‰ã‚ŒãŸçµæžœã®é …ãŒå…ƒã®é …より 「辞書å¼é †ã€ ã§å°ã•ããªã‚‹å ´åˆã«ã®ã¿é©ç”¨ã•ã‚Œã‚‹. \subsection{LRPO} \label{sec:lrpo} \subsubsection{é …ã®é †åºä»˜ã‘ (\textsc{lrpo})} 辞書å¼å†å¸°ãƒ‘ス順åº({\em lexicographic recursive path ordering}) ã¯é …ã®æ¯” 較を行ã†æ–¹æ³•ã‚‚ã†ä¸€ã¤ã®æ–¹æ³•ã§ã‚ã‚Š, フラグ lrpo ㌠on ã®æ™‚ã«ç”¨ã„られる. é‡è¦ãªç†è«–的性質ã¨ã—㦠\textsc{lrpo} ã¯, {\em termination} é †åºã§ã‚ã‚‹ã¨ã„ㆠã“ã¨ãŒã‚ã‚‹. ã¤ã¾ã‚Š, $R$ ã‚’ demodulator ã®é›†åˆã¨ã—, å«ã¾ã‚Œã‚‹å„ demodulator ã®å·¦è¾ºã¯ \textsc{lrpo} ã®æ„味ã§å³è¾ºã‚ˆã‚Šå¤§ãã„ãªã‚‰ã°, demodulation (demodulator ã‚’å·¦ 辺ã‹ã‚‰å³è¾ºã®å‘ãã«é©ç”¨ã™ã‚‹) プロセスã¯çµ‚了ã™ã‚‹ã“ã¨ãŒä¿è¨¼ã•ã‚Œã‚‹. \textsc{lrpo} ã«ã‚ˆã‚‹æ¯”較ã¯, (1) ç­‰å¼ãƒªãƒ†ãƒ©ãƒ«ã®æ–¹å‘ã¤ã‘(左辺ãŒå³è¾ºã‚ˆã‚Šå¤§ãã ãªã‚‹ã‚ˆã†ã«ç½®ãæ›ãˆã‚‹äº‹), (2) ç­‰å¼ãŒ demodulator ã¨ã—ã¦ä½¿ã‚れ得るã‹, ã‚ã‚‹ ã„㯠\textsc{lrpo}-ä¾å­˜ã® demodulator ã¨ãªã‚‹ã‹ã‚’判定ã—ãŸã‚Š, (3) \textsc{lrpo}-ä¾å­˜ã® demodulator ã‚’é©ç”¨ã§ãã‚‹ã‹å¦ã‹ã‚’判定ã™ã‚‹ã®ã«ç”¨ã„ら れる. 上記以外ã®æ–‡è„ˆã§ä½¿ç”¨ã•ã‚Œã‚‹ã“ã¨ã¯ç„¡ã„. \subsubsection{オペレータ記å·ã®é †åºä»˜ã‘ -- lex コマンド} \label{sec:lex-command} \textsc{lrpo} を使用ã™ã‚‹å ´åˆ, オペレータ記å·ã«é–¢ã™ã‚‹é †åºã¤ã‘ãŒæ±ºã‚られã¦ã„ ãªã‘ã‚Œã°ãªã‚‰ãªã„. ã“れ㯠lex コマンドを用ã„ã¦æŒ‡å®šã™ã‚‹ã“ã¨ãŒå‡ºæ¥ã‚‹. コマンドã®æ§‹æ–‡ã¯æ¬¡ã®é€šã‚Šã§ã‚る： \begin{vvtm} \begin{simplev} ::= lex(,....,) \end{simplev} \end{vvtm} \texttt{} ã‚„ \texttt{} ã¯ã‚ªãƒšãƒ¬ãƒ¼ã‚¿è¨˜å·ã§ã‚ã‚‹. å·¦å´ã«ã‚る程 å°ã•ã„ã¨è¦å®šã™ã‚‹. 特殊ãªã‚ªãƒšãƒ¬ãƒ¼ã‚¿è¨˜å·ã¨ã—㦠\texttt{*} 㨠\texttt{SKOLEM} ã®2ã¤ãŒã‚·ã‚¹ãƒ†ãƒ ã§äºˆç´„ã•ã‚Œã¦ã„る： \begin{description} \item[*] lex コマンドã®å¼•æ•°ã«è¨˜è¿°ã•ã‚Œãªã‹ã£ãŸæ®‹ã‚Šã®ã‚ªãƒšãƒ¬ãƒ¼ã‚¿ã™ã¹ã¦ã‚’æ„ å‘³ã™ã‚‹. ã“れらã¯åå‰ã®å˜ç´”辞書å¼é †ã§å±•é–‹ã•ã‚Œä¸¦ã¹ã‚‰ã‚Œã‚‹. \item[SKOLEM] システムãŒç”Ÿæˆã—㟠Skolem 関数. Skolem 関数åŒå£«ã¯ åå‰ã®è¾žæ›¸å¼é †ã§æ¯”較ã•ã‚Œã‚‹. \end{description} 例ãˆã°ä¸‹ã®ã‚ˆã†ãªãƒ¢ã‚¸ãƒ¥ãƒ¼ãƒ«ãŒã‚ã£ãŸã¨ã™ã‚‹ï¼š \begin{vvtm} \begin{examplev} module! LEX { [Elt] ops a b c : -> Elt op _+_ : Elt Elt -> Elt op _*_ : Elt Elt -> Elt op s : Elt -> Elt op _-_ : Elt Elt -> Elt op _/_ : Elt Elt -> Elt } \end{examplev} \end{vvtm} ã“ã“㧠\begin{vvtm} \begin{examplev} lex(a, b, c, s, _+_, *, _*_) \end{examplev} \end{vvtm} ã¨ã—ãŸå ´åˆã®ã‚ªãƒšãƒ¬ãƒ¼ã‚¿é †åºã¯æ¬¡ã®ã‚ˆã†ã«ãªã‚‹ï¼š \[ \mathtt{\_*\_\succ\_/\_\succ\_-\_\succ\_+\_\succ s\succ c \succ b \succ a} \] 上ã®ä¾‹ã§ã¯ SKOLEM ã®æŒ‡å®šãŒç„¡ã„. * ã‚ã‚‹ã„㯠SKOLEM 指定ãŒå¼•æ•°ãƒªã‚¹ãƒˆã«ç„¡ ã„å ´åˆã¯, 以下ã®ã‚ˆã†ã«ã‚·ã‚¹ãƒ†ãƒ ãŒè£œé–“ã™ã‚‹ï¼š \begin{enumerate} \item * 指定ãŒãªã‘ã‚Œã°, リストã®æœ€å¾Œã« * を追加ã™ã‚‹. \item SKOLEM 指定ãŒãªã‘ã‚Œã°, リストã®æœ€å¾Œã« SKOLEM を追加ã™ã‚‹. \end{enumerate} ã¤ã¾ã‚Š, ã“れら両方ãŒçœç•¥ã•ã‚ŒãŸæ™‚ã®è¨­å®šã¯æ¬¡ã®ã‚ˆã†ã«ãªã‚‹ï¼š \begin{vvtm} \begin{simplev} lex(, ..., , *, SKOLEM) \end{simplev} \end{vvtm} ã¾ãŸ, lex コマンドã®æŒ‡å®šãŒç„¡ã„å ´åˆã®ã‚ªãƒšãƒ¬ãƒ¼ã‚¿è¨˜å·ã®é †åºã¤ã‘㯠\begin{vvtm} \begin{simplev} lex(*, SKOLEM) \end{simplev} \end{vvtm} ã¨ã—ãŸå ´åˆã¨åŒã˜ã§ã‚ã‚‹. ã™ãªã‚ã¡, å…¨ã¦ã®ã‚ªãƒšãƒ¬ãƒ¼ã‚¿è¨˜å·ã¯å˜ç´”辞書å¼é †ã§æ¯” 較ã•ã‚Œ, ã¾ãŸã‚·ã‚¹ãƒ†ãƒ ãŒç”Ÿæˆã™ã‚‹ Skolem 関数ã¯æœ€ã‚‚大ãã„ã¨åˆ¤å®šã™ã‚‹. å…ˆã«è¿°ã¹ãŸã¨ãŠã‚Š, Skolem 関数åŒå£«ã®æ¯”較ã¯è¾žæ›¸å¼é †ã«ã‚ˆã‚‹. lex コマンドã§, * ãŠã‚ˆã³ SKOLEM ã¨ã„ã†ã‚ªãƒšãƒ¬ãƒ¼ã‚¿è¨˜å·ãŒäºˆç´„語ã¨ã•ã‚Œã‚‹äº‹ã« より, 利用者ãŒã“れらã®åå‰ã‚’æŒã£ãŸã‚ªãƒšãƒ¬ãƒ¼ã‚¿ã‚’定義出æ¥ãªããªã‚‹ã®ã§ã¯, ã¨æ‡¸å¿µã•ã‚Œã‚‹ã‹ã‚‚ã—ã‚Œãªã„ãŒ, 次ã®ã‚ˆã†ã«ã—ã¦ã“れを回é¿å‡ºæ¥ã‚‹. ã„ãšã‚Œã®å ´åˆã‚‚, 利用者ã®å®šç¾©ã—ãŸã‚ªãƒšãƒ¬ãƒ¼ã‚¿ã‚’引数ã®æ•°ã§ä¿®é£¾ã—ãŸåå‰ã‚’用ㄠれã°ã‚ˆã„. 例ãˆã°åˆ©ç”¨è€…㌠* ã¨ã„ã†2引数ã®ã‚ªãƒšãƒ¬ãƒ¼ã‚¿ã‚’定義ã—ã¦ã„ã‚‹å ´åˆã¯, \texttt{*/2} ã¨ã™ã‚‹ã“ã¨ã§ã“れをå‚ç…§ã™ã‚‹ã“ã¨ãŒå‡ºæ¥ã‚‹. ã‚‚ã—ã“ã‚ŒãŒå®šæ•°ã§ã‚ã‚Œ ã° \texttt{*/0} ã¨ã™ã‚Œã°è‰¯ã„. SKOLEM ã®å ´åˆã‚‚åŒæ§˜ã§ã‚ã‚‹. \paragraph{lex コマンドã«é–¢ã™ã‚‹æ³¨æ„} lex コマンド㯠`db reset' を実行ã™ã‚‹\textbf{å‰ã«}発ã›ã‚‰ã‚Œã¦ã„ãªã‘れ㰠ãªã‚‰ãªã„. 自動モードã®å ´åˆã¯è‡ªç„¶ã«ã“ã‚ŒãŒå®Ÿç¾ã•ã‚Œã‚‹ã®ã§å•é¡Œãªã„ãŒ, マニュ アルモードã®éš›ã«ã¯æ³¨æ„ãŒå¿…è¦ã§ã‚ã‚‹. % ç¾åœ¨ã‚·ã‚¹ãƒ†ãƒ ã¯å˜ç´”ãªè¾žæ›¸å¼é †ã«ã‚ˆã‚‹ã‚ªãƒšãƒ¬ãƒ¼ã‚¿åã®é †åºã‚’基本ã¨ã—, % 次ã®ã‚ˆã†ãª, heuristic ãªé †åºä»˜ã‘を暗黙的ã«è¡Œã£ã¦ã„る： % \begin{itemize} % \item モジュールã®ç­‰å¼ã‚’å…ƒã«ã—ãŸã‚ªãƒšãƒ¬ãƒ¼ã‚¿è¨˜å·ã®ç›¸å¯¾é †åºã¤ã‘\\ % ç­‰å¼ã‚’用ã„ã¦å…¬ç†ã‚’記述ã™ã‚‹éš›ã¯, 左辺→å³è¾ºã¸ã®æ–¹å‘付ã‘ã‚’ % 暗黙的ã«æ„è­˜ã—ã¦è¨˜è¿°ã—ã¦ã„ã‚‹ã“ã¨ãŒå¤šã„ã¨æ€ã‚れる. % ã“ã®ä»®å®šã‚’å…ƒã«, システムã¯å„ç­‰å¼ã‚’走査ã—, 左辺å´ã«å‡ºç¾ã™ã‚‹ % オペレータ記å·ã®æ–¹ãŒ, å³è¾ºå´ã‚ˆã‚Šå¤§ãã„ã¨ã™ã‚‹ç›¸å¯¾çš„ãªé †åºä»˜ã‘ % ã‚’è¡Œã†. ã‚‚ã—ã“ã®ã¨ã巡回ãŒèµ·ãるよã†ãªå ´åˆã¯, ã“ã®é †åºé–¢ä¿‚㯠% 使用ã—ãªã„. % \item 定数ã¯ãã†ã§ãªã„オペレータよりå°ã•ã„ã‚‚ã®ã¨ã™ã‚‹. % \item Skolem 関数記å·ã¯ãã†ã§ãªã„オペレータより大ãã„ã‚‚ã®ã¨ã™ã‚‹. % \end{itemize} % 以上を順åºä»˜ã‘ã‚’è¡Œã†éš›ã®åˆ¶ç´„æ¡ä»¶ã¨ã—ã¦ç”¨ã„, ã“れらã®åˆ¶ç´„ã« % ã‹ã‹ã‚‰ãªã„よã†ãªã‚±ãƒ¼ã‚¹ã§ã¯, 純粋ã«è¾žæ›¸å¼é †åºã«ã‚ˆã‚‹åå‰ã®å¤§ãã• % 比較を行ã†. \subsubsection{ç­‰å¼ã®æ–¹å‘ã¤ã‘ (\textsc{lrpo})} \label{sec:orient-lrpo} ã‚‚ã—, フラグ \texttt{order-eq} ㌠on ã§ã‚ã‚Š, ã‚ã‚‹ç­‰å¼ãƒªãƒ†ãƒ©ãƒ«ã® ã©ã¡ã‚‰ã‹ã®å¼•æ•°ãŒä»–方より \textsc{lrpo} é †ã§å¤§ãã„ãªã‚‰ã°, 大ãã„æ–¹ã®å¼•æ•°ãŒå·¦è¾ºã«ãŠã‹ã‚Œã‚‹ã‚ˆã†ã«ä¸¦ã³æ›¿ãˆã‚‰ã‚Œã‚‹. \subsubsection{Dynamic Demodulator ã®åˆ¤å®š (\textsc{lrpo})} \label{sec:dynamic-lrpo} フラグ \texttt{dynamic-demod} ㌠on ã®å ´åˆ, システム㯠全ã¦ã®ç­‰å¼ã«é–¢ã—ã¦, ãれら㌠demodulator ã¨ã—ã¦ä½¿ãˆãªã„ã‹ã©ã†ã‹ã‚’ 調ã¹ã‚‹(フラグ \texttt{dynamic-demod-all} ã¯, \texttt{lrpo} ㌠on ã®å ´åˆã¯ç„¡è¦–ã•ã‚Œã‚‹.) ç­‰å¼ $\alpha=\beta$ ã«ãŠã„ã¦, \textsc{lrpo} 順㧠$\alpha\succ\beta$ ã§ã‚ã‚Œã°, ç­‰å¼ã¯ demodulator ã¨ãªã‚‹ (ã“ã®åˆ¤å®šãŒè¡Œã‚れる時点ã§ã¯, ã™ã§ã«ç­‰å¼ã®æ–¹å‘ã¤ã‘ãŒæ¸ˆã‚“ã§ã„ã‚‹). ã‚‚ã—, \texttt{dynamic-demod-lex-dep} ㌠on ã§ã‚ã‚Š, ç­‰å¼ã®ã©ã¡ã‚‰ã®è¾ºã‚‚ä»–ã®è¾ºã«å¯¾ã—㦠\textsc{lrpo} ã®æ„味ã§å°ã•ããªã, ã‹ã¤ $\beta$ ã«å«ã¾ã‚Œã¦ã„る変数ã¯å…¨ã¦ $\alpha$ ã«ã‚‚出ç¾ã™ã‚‹ ã‚‚ã®ã§ã‚ã‚Œã°, ç­‰å¼ã¯ \textsc{lrpo}-ä¾å­˜ã® demodulator ã¨ã•ã‚Œã‚‹. \subsubsection{\textsc{lrpo}-ä¾å­˜ã® Demodulation (\textsc{lrpo})} \label{sec:lex-dep-lrpo} \textsc{lrpo}-ä¾å­˜ã® demodulator ã¯, 書ãæ›ãˆã‚‰ã‚ŒãŸçµæžœã®é …㌠元ã®é …より \textsc{lrpo} ã®æ„味ã§å°ã•ããªã‚‹å ´åˆã«ã®ã¿ é©ç”¨ã•ã‚Œã‚‹. %%% Local Variables: %%% mode: latex %%% TeX-master: t %%% TeX-master: t %%% TeX-master: t %%% End: cafeobj-1.5.4/doc/PigNose/part4.tex0000644000000000000000000003774212415124723015513 0ustar rootroot%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \newpage \chapter{詳細化検証} \label{sec:spec-check-system} \section{仕様詳細化検証システムã®æ©Ÿèƒ½} \label{sec:spec-check-function} ã‚るモジュール$M$ãŒåˆ¥ã®ãƒ¢ã‚¸ãƒ¥ãƒ¼ãƒ«$M'$を満足ã™ã‚‹ã‹ã©ã†ã‹ï¼Œ ã™ãªã‚ã¡ãƒ¢ã‚¸ãƒ¥ãƒ¼ãƒ« $M'$ ã§å®šç¾©ã•ã‚ŒãŸå…¬ç†ã®ã™ã¹ã¦ã‚’ $M$ ãŒæº€è¶³ã™ã‚‹ã‹ã©ã†ã‹ã‚’検証ã™ã‚‹æ©Ÿèƒ½ã§ã‚る． ã“ã®æ¤œè¨¼ã®äº‹ã‚’ $M'$ ã‹ã‚‰ $M$ ã¸ã®è©³ç´°åŒ–検証ã¨å‘¼ã¶ï¼Ž 検証ã¯ä»¥ä¸‹ã®ï¼’段階ã§è¡Œã‚れる： \begin{enumerate} \item $M'$ ã‹ã‚‰ $M$ ã¸ã®ã‚·ã‚°ãƒ‹ãƒãƒ£ãƒžãƒƒãƒãƒ³ã‚° ã“ã‚Œã¯ä»•æ§˜ $M$ ãŒä»•æ§˜ $M'$ ã§å®šã‚られã¦ã„る機能を果ãŸã™ãŸã‚㮠構文è¦ç´ ã‚’å‚™ãˆã¦ã„ã‚‹ã‹ã©ã†ã‹ã‚’検査ã™ã‚‹ã‚‚ã®ã§ã‚ã‚‹. å¯èƒ½ãªå ´åˆã«ã¯ $M'$ ã®ã‚·ã‚°ãƒ‹ãƒãƒ£ã‹ã‚‰ $M$ ã®ã‚·ã‚°ãƒ‹ãƒãƒ£ã¸ã®å†™åƒ (シグニãƒãƒ£å°„ --- signature morphism)ãŒç”Ÿæˆã•ã‚Œã‚‹ï¼Ž シグニãƒãƒ£å°„ãŒä¸€ã¤ã‚‚存在ã—ãªã„å ´åˆã¯ï¼Œä»•æ§˜ $M$ ãŒä»•æ§˜ $M'$ ã®æ©Ÿèƒ½ã‚’ æžœãŸã™ã“ã¨ã¯ä¸å¯èƒ½ã§ã‚ã‚‹ã®ã§ï¼Œè©³ç´°åŒ–検証ã¯ã“ã®æ™‚点ã§å¤±æ•—を報告ã—終了ã™ã‚‹ï¼Ž ãªãŠï¼Œä¸€èˆ¬çš„ã«ã‚·ã‚°ãƒ‹ãƒãƒ£å°„ã¯è¤‡æ•°å­˜åœ¨ã™ã‚‹ã“ã¨ãŒã‚ã‚‹ \footnote{ 振舞仕様ã«ãŠã‘るシグニãƒãƒ£ã¯ï¼Œã‚ªãƒ–ジェクトã«ãŠã‘るメソッドåŠã³å±žæ€§ã«å¯¾ å¿œã™ã‚‹ã¨è€ƒãˆã¦ã‚ˆã„．シグニãƒãƒ£ãƒžãƒƒãƒãƒ³ã‚°ã‚’è¡Œã†ã«ã¯ï¼Œã©ã®ãƒ¡ã‚½ãƒƒãƒ‰ï¼å±žæ€§ ãŒã©ã®ãƒ¡ã‚½ãƒƒãƒ‰ï¼å±žæ€§ã«å†™åƒå¯èƒ½ã‹ã‚’，ソート情報をもã¨ã«é€ä¸€èª¿ã¹ã¦ã„ã‘㰠よã„．ã“ã‚Œã¯ä¸€èˆ¬ã«ç°¡å˜ãªå•é¡Œã§ã¯ãªã„ãŒï¼Œã‚½ãƒ¼ãƒˆåã®åŒã˜å¯è¦–ソートã¯åŒ ã˜ãƒ‡ãƒ¼ã‚¿åž‹ã‚’æ„味ã™ã‚‹ã‚‚ã®ã¨ä»®å®šã™ã‚‹ã“ã¨ã§ï¼Œå˜ç´”ãªæ–‡å­—列マッãƒãƒ³ã‚°ã®å•é¡Œ ã«é‚„å…ƒã•ã‚Œï¼Œé«˜é€Ÿãªå®Ÿè£…ãŒå¯èƒ½ã¨ãªã‚‹ï¼Ž} ． \item $M'$ ã‹ã‚‰ $M$ ã¸ã®è©³ç´°åŒ–検証 ã“ã‚Œã¯1ã§å¾—られãŸã‚·ã‚°ãƒ‹ãƒãƒ£å°„ã«ã‚ˆã‚‹æ§‹æ–‡å¤‰æ›ã«ã‚ˆã£ã¦ï¼Œä»•æ§˜ $M$ ãŒè¦æ±‚ 仕様 $M'$ ã®æ©Ÿèƒ½ã‚’実際ã«æžœãŸã™ã‹ã©ã†ã‹ã‚’検証ã™ã‚‹ã‚‚ã®ã§ã‚る．$M'$ ã®ç­‰å¼ãれ㞠れをシグニãƒãƒ£å°„ã§å¤‰æ›ã—，ãれ㌠$M$ ã«ãŠã„ã¦ã‚‚æˆã‚Šç«‹ã¤ã‹ã©ã†ã‹ã‚’証明ã—㦠ã„ã. 検査ã™ã‚‹ $M'$ ã®ç­‰å¼ãŒï¼Œé€šå¸¸ã®ç­‰å¼(å¯è¦–ç­‰å¼)ã§ã‚ã‚‹ã‹ï¼Œã‚ã‚‹ã„ã¯æŒ¯ 舞等å¼ã§ã‚ã‚‹ã‹ã«ã‚ˆã£ã¦ä»¥ä¸‹ã®ã‚ˆã†ã«å‡¦ç†ãŒç•°ãªã‚‹ï¼Ž \begin{description} \item[å¯è¦–ç­‰å¼ã®å ´åˆ] 変æ›ã•ã‚ŒãŸç­‰å¼ï¼å…¬ç†ã®å¦å®šã‚’ $M$ ã®ä»•æ§˜ã«åŠ ãˆï¼Œãã‚Œã‹ã‚‰åé§ãŒå¾—られるã‹ã© ã†ã‹ã‚’åé§ã‚¨ãƒ³ã‚¸ãƒ³ã‚’用ã„ã¦æ¤œè¨¼ã™ã‚‹ï¼Ž åé§ãŒå¾—られれã°ã“ã®ç­‰å¼ã«é–¢ã™ã‚‹è©³ç´°åŒ–検証ã¯æˆåŠŸã™ã‚‹ï¼Ž \item[振舞等å¼ã®å ´åˆ] 変æ›ã•ã‚ŒãŸç­‰å¼ã«ã¤ã„ã¦åŒå¯¾å¸°ç´æ³•(coinduction)を実行ã™ã‚‹ï¼ŽåŒå¯¾å¸°ç´æ³• ãŒæˆåŠŸã™ã‚Œã°ï¼Œã“ã®ç­‰å¼ã«é–¢ã™ã‚‹è©³ç´°åŒ–検証ã¯æˆåŠŸã™ã‚‹(åŒå¯¾å¸°ç´æ³•ã«ã¤ã„㦠ã¯~\ref{sec:model-check}ç« ã‚’å‚ç…§)． \end{description} \begin{quotation} ãªãŠç¾åœ¨ã®ã¨ã“ã‚，æ¡ä»¶ä»˜ã振舞等å¼ã®æ¡ä»¶éƒ¨ã¯å…¨ã¦é€šå¸¸ã®ç­‰å¼ (隠蔽ソートã®ç­‰å¼ã§ã‚ã£ã¦ã‚‚)ã§ã‚ã‚‹ã¨ã—ã¦å‡¦ç†ã•ã‚Œã¦ã„る． æ¡ä»¶ä»˜ã振舞等å¼ã«ã¤ã„ã¦ã¯ãã®è¨˜è¿°ã‚„検証ã®æ–¹æ³•ã«é–¢ã™ã‚‹ç†è«–的研究 ãŒå¿…è¦ã§ã‚り， 仕様検証システムã«ãŠã‘る実装ã«ã¤ã„ã¦ã‚‚，今後ã®èª²é¡Œã¨ã—ã¦æ®‹ã•ã‚Œã¦ã„る． \end{quotation} $M'$ ã®å…¨ã¦ã®ç­‰å¼ã«ã¤ã„ã¦æ¤œè¨¼ãŒæˆåŠŸã™ã‚Œã°ï¼Œ$M'$ ã‹ã‚‰ $M$ ã¸ã®è©³ç´°åŒ–検証ã¯æˆåŠŸã§ã‚る． ãŸã ã—一般ã«ä¸€éšŽè¿°èªžè«–ç†ã«ãŠã‘る定ç†è¨¼æ˜Žã¯æ±ºå®šä¸èƒ½ã§ã‚ã‚‹ã®ã§ï¼Œ 詳細化検証ãŒå®šã‚られãŸè¨ˆç®—資æº(計算時間，メモリ使用é‡ãªã©)ã®ä¸Šé™ã‚’超㈠ãŸå ´åˆã«ã¯ï¼Œçµæžœã‚’ä¸æ˜Žã¨ã—ã¦å ±å‘Šã—終了ã™ã‚‹ï¼ŽãŸã ã—ã“ã®å ´åˆã§ã‚‚，ã©ã®ç­‰ å¼ã®æ¤œè¨¼ãŒæˆåŠŸã—ãªã‹ã£ãŸã‹ãªã©ã®æƒ…å ±ãŒãƒ¦ãƒ¼ã‚¶ãƒ¼ã«æ示ã•ã‚Œã‚‹ï¼Ž \end{enumerate} \section{詳細化検証システムã®æ–°è¦ã‚³ãƒžãƒ³ãƒ‰} \label{sec:spec-check-new-commands} 詳細化検証ã®ãŸã‚ã®æ–°è¦ã®ã‚³ãƒžãƒ³ãƒ‰ã¯æ¬¡ã®2ã¤ã§ã‚る： \begin{description} \item[シグニãƒãƒ£ãƒžãƒƒãƒãƒ³ã‚°ã®æŒ‡ç¤º] 2ã¤ã®ãƒ¢ã‚¸ãƒ¥ãƒ¼ãƒ«ã‚’指定ã—ã¦, ãれらã®é–“ã§ã®ã‚·ã‚°ãƒ‹ãƒãƒ£ãƒžãƒƒãƒãƒ³ã‚°ã‚’è¡Œã†ã“ã¨ã‚’ 指示ã™ã‚‹. 構文ã¯æ¬¡ã®é€šã‚Šï¼š \begin{vvtm} \begin{simplev} sigmatch (<モジュールå¼-1>) to (<モジュールå¼-2>) \end{simplev} \end{vvtm} \texttt{<モジュールå¼-1>} ã§æŒ‡å®šã•ã‚Œã‚‹ãƒ¢ã‚¸ãƒ¥ãƒ¼ãƒ«ã‹ã‚‰, \texttt{<:モジュールå¼-2>} ã§æŒ‡å®šã•ã‚Œã‚‹ãƒ¢ã‚¸ãƒ¥ãƒ¼ãƒ«ã¸ã®, å¯èƒ½ãªã‚·ã‚°ãƒ‹ãƒãƒ£å°„ã‚’å…¨ã¦æ±‚ã‚, çµæžœã‚’利用者ã«æ示ã™ã‚‹. % モジュールå¼ã®æ§‹æ–‡ã¯, CafeOBJ 言語ã®ä»•æ§˜ã«å¾“ã†. CafeOBJ ã§ã¯ã‚·ã‚°ãƒ‹ãƒãƒ£å°„ã®ã“ã¨ã‚’ \textbf{view} ã¨å‘¼ã¶ãŒ, view ã«ã¯åå‰ãŒã¤ã‘られãã®åå‰ã§å‚ç…§ã™ã‚‹ã“ã¨ãŒå‡ºæ¥ã‚‹ã‚ˆã†ã«ãªã£ã¦ã„ã‚‹. \texttt{sigmatch}ã§ã¯, 構æˆå‡ºæ¥ãŸview(シグニãƒãƒ£å°„)ã®å„々ã«å¯¾ã—ã¦é© 当ãªåå‰ã‚’ã¤ã‘, 利用者ã«ã¯ã“ã®åå‰ã®ãƒªã‚¹ãƒˆã‚’æ示ã™ã‚‹. view を構æˆã™ã‚‹ã“ã¨ãŒå‡ºæ¥ãªã‹ã£ãŸå ´åˆã«ã¯, 空ã®ãƒªã‚¹ãƒˆã‚’表示ã™ã‚‹. \item[詳細化検証ã®æŒ‡ç¤º] sigmatch コマンドã®çµæžœã§å¾—られ㟠view ã®åå‰ã‚’指定ã—ã¦, 詳細化ã®æ¤œè¨¼ã‚’ è¡Œã†äº‹ã‚’指示ã™ã‚‹. 構文ã¯æ¬¡ã®é€šã‚Šã§ã‚ã‚‹. \begin{vvtm} \begin{simplev} check refinement \end{simplev} \end{vvtm} 検証ã®çµæžœãŒæˆåŠŸã§ã‚ã‚Œã°, ``ok'' ã¨è¡¨ç¤ºã—, çµæžœãŒå¤±æ•—ã‚ã‚‹ã„ã¯ä¸æ˜Žã®å ´åˆã«ã¯ ``ng'' ã¨è¡¨ç¤ºã™ã‚‹ã¨ã¨ã‚‚ã«, ã©ã®ç­‰å¼ã®æ¤œè¨¼ãŒæˆåŠŸã—ãªã‹ã£ãŸã‹ã‚’表示ã™ã‚‹. \end{description} \section{シグニãƒãƒ£ãƒžãƒƒãƒãƒ³ã‚°} \label{spec:signature-matching-proc} \subsection{シグニãƒãƒ£ãƒžãƒƒãƒãƒ³ã‚°ã®è€ƒãˆæ–¹} シグニãƒãƒ£ãƒžãƒƒãƒãƒ³ã‚°ã¯ä»•æ§˜é–“ã§ã®æ§‹æ–‡çš„ãªå¯¾å¿œæ€§ã‚’検査ã™ã‚‹ã‚‚ã®ã§ã‚り， 仕様間ã§ã®ã‚·ã‚°ãƒ‹ãƒãƒ£å°„を求ã‚ã‚‹ã“ã¨ã«ã‚ˆã£ã¦ã“れを行ã†ï¼Ž CafeOBJ モジュールã«ã‚ˆã£ã¦è¨˜è¿°ã•ã‚Œã‚‹ä»•æ§˜ã¯, $(S,\Sigma,E)$ ã®å½¢ã‚’ ã—ã¦ã„ã‚‹. ã“ã“㧠$(S, \Sigma)$ ãŒã‚·ã‚°ãƒ‹ãƒãƒ£ã§ã‚ã‚Š, $S$ ã¯ã‚½ãƒ¼ãƒˆã®é›†åˆ, $\Sigma$ ã¯å¼•æ•°ãŠã‚ˆã³çµæžœãŒ $S$ ã®ã‚½ãƒ¼ãƒˆã«å«ã¾ã‚Œã‚‹ã‚ˆã†ãª オペレータã®é›†åˆã§ã‚ã‚‹. ã¾ãŸ, $E$ ã¯ãƒ¢ã‚¸ãƒ¥ãƒ¼ãƒ«ã§å®£è¨€ã•ã‚ŒãŸå…¬ç†ã® 集åˆã§ã‚ã‚Š, $\Sigma$ ã«å«ã¾ã‚Œã‚‹æ¼”ç®—ãŒæº€è¶³ã—ãªã‘ã‚Œã°ãªã‚‰ãªã„性質を記述 ã—ãŸã‚‚ã®ã§ã‚ã‚‹. シグニãƒãƒ£ãƒžãƒƒãƒãƒ³ã‚°ã¯, 二ã¤ã®ãƒ¢ã‚¸ãƒ¥ãƒ¼ãƒ« $M$ 㨠$N$ ã‚’ 与ãˆã‚‰ã‚Œã¦, $M$ ã‹ã‚‰ $N$ ã«å¯¾ã™ã‚‹å¯èƒ½ãªã‚·ã‚°ãƒ‹ãƒãƒ£å°„ã‚’å…¨ã¦è¨ˆç®—ã™ã‚‹. $M$ ã®ã‚·ã‚°ãƒ‹ãƒãƒ£ã‚’ $(S,\Sigma)$，$N$ ã®ã‚·ã‚°ãƒ‹ãƒãƒ£ã‚’ $(S',\Sigma')$ ã¨ã™ã‚‹. シグニãƒãƒ£å°„ã¨ã¯, $(S,\Sigma)$ ã‹ã‚‰ $(S',\Sigma')$ ã¸ã®å†™åƒ $V: (S,\Sigma) \rightarrow (S',\Sigma')$ ã§ã‚ã‚Š, $V$ ã¯äºŒã¤ã®å˜å°„ã®é–¢æ•° $$ \begin{array}{lll} V: S &\rightarrow& S'\\ V: \Sigma &\rightarrow&\Sigma'\\ \end{array} $$ ã‹ã‚‰æ§‹æˆã•ã‚Œã‚‹. ã“ã“ã§, $\Sigma$ ã«å«ã¾ã‚Œã‚‹å„オペレータ $f: s_1\ldots s_n \rightarrow s$ ã«é–¢ã—ã¦, $V(f): V(s_1)\ldots V(s_n)\rightarrow V(s)$ ㌠$\Sigma'$ 㮠オペレータã§ãªã‘ã‚Œã°ãªã‚‰ãªã„. 一般ã«ã“れを満足ã™ã‚‹ã‚ˆã†ãª 写åƒã¯è¤‡æ•°ã‚ã‚Šå¾—ã‚‹ã®ã§, 構æˆå¯èƒ½ãªã‚·ã‚°ãƒ‹ãƒãƒ£å°„も一般ã«è¤‡æ•°ã§ã‚ã‚‹. å¯èƒ½ãªã‚·ã‚°ãƒ‹ãƒãƒ£å°„ã‚’å…¨ã¦æ±‚ã‚ã‚‹ã®ã¯, 一般ã«ç°¡å˜ãªå•é¡Œã§ã¯ãªã„ãŒï¼Œ 我々ã®ã‚·ã‚¹ãƒ†ãƒ ã§ã¯ã‚½ãƒ¼ãƒˆåã®åŒã˜å¯è¦–ソートã¯åŒã˜ãƒ‡ãƒ¼ã‚¿åž‹ã‚’æ„味ã™ã‚‹ã‚‚ã® ã¨ä»®å®šã—ã¦å•é¡Œã‚’ç°¡å˜åŒ–ã—，高速ãªè¨ˆç®—ã‚’å¯èƒ½ã¨ã—ã¦ã„ã‚‹. CafeOBJ ã§ã¯ã‚½ãƒ¼ãƒˆã®é›†åˆ $S$ ã¯2種ã®ã‚½ãƒ¼ãƒˆ $D$ 㨠$H$ ã«åŒºåˆ†ã•ã‚Œã‚‹ ($S = D \cup H$). $D$ ã«å«ã¾ã‚Œã‚‹ã‚½ãƒ¼ãƒˆã¯å¯è¦–ソート, $V$ ã«ãµãã¾ã‚Œã‚‹ã‚‚ã®ã¯éš è”½ã‚½ãƒ¼ãƒˆã¨å‘¼ã°ã‚Œã‚‹. å¯è¦–ソートã¯é€šå¸¸ã®é™çš„ãªãƒ‡ãƒ¼ã‚¿åž‹ã‚’表ç¾ã™ã‚‹ã‚‚ã®ã§ã‚ã‚Š, 隠蔽ソートã¯å†…部状態をæŒã¤ã‚ˆã†ãªå‹•çš„ãªã‚ªãƒ–ジェクトを表ç¾ã™ã‚‹ãŸã‚ã®ã‚½ãƒ¼ãƒˆã§ã‚ã‚‹. åŒã˜åå‰ã®å¯è¦–ソートã¯åŒä¸€ã®ãƒ‡ãƒ¼ã‚¿åž‹ã‚’æ„味ã™ã‚‹ã‚‚ã®ã¨ã¿ãªã™ï¼Œã¨ã„ã†ã“ã¨ã¯ 対象ã¨ã™ã‚‹éƒ¨å“やシステムã®ä»•æ§˜ã«ãŠã„ã¦ï¼Œãƒ‡ãƒ¼ã‚¿åž‹ãŒå›ºå®šã•ã‚Œã¦ã„ã‚‹ (例ãˆã°ãƒ©ã‚¤ãƒ–ラリã®ã‚ˆã†ãªã‚‚ã®ã‚’想定ã™ã‚‹)ã¨ã„ã†æ„味ã§ã‚る． \subsection{シグニãƒãƒ£ãƒžãƒƒãƒãƒ³ã‚°ã®ä¾‹} \label{sec:sigmatch-example} 下ã®ã‚ˆã†ãªäºŒã¤ã®ãƒ¢ã‚¸ãƒ¥ãƒ¼ãƒ«, STACK 㨠QUEUE ãŒã‚·ã‚¹ãƒ†ãƒ ã«ãƒ­ãƒ¼ãƒ‰ ã•ã‚Œã¦ã„ã‚‹ã‚‚ã®ã¨ã™ã‚‹. \begin{vvtm} \begin{simplev} mod* STACK(X :: TRIV) { *[ Stack ]* op empty : -> Stack bop top : Stack -> Elt bop push : Elt Stack -> Stack bop pop : Stack -> Stack vars D : Elt var S : Stack eq pop(empty) = empty . eq top(push(D,S)) = D . beq pop(push(D,S)) = S . } mod* QUEUE(X :: TRIV) { *[ Queue ]* op empty : -> Queue bop front : Queue -> Elt bop enq : Elt Queue -> Queue bop deq : Queue -> Queue vars D E : Elt var Q : Queue beq deq(enq(D,Q)) = enq(D,deq(Q)) . eq front(enq(E,Q)) = front(Q) . } \end{simplev} \end{vvtm} QUEUE ã¯ã‚­ãƒ¥ãƒ¼æ§‹é€ (FIFO)ã‚’, STACK ã¯ã‚¹ã‚¿ãƒƒã‚¯æ§‹é€ (LIFO)ã‚’ ãã‚Œãžã‚Œè¡¨ç¾ã—ãŸãƒ¢ã‚¸ãƒ¥ãƒ¼ãƒ«ã§ã‚ã‚‹. ã“ã®çŠ¶æ…‹ã§, \texttt{sigmatch} を実行ã™ã‚‹ã¨æ¬¡ã®ã‚ˆã†ãªçµæžœã¨ãªã‚‹ï¼š \begin{vvtm} \begin{examplev} CafeOBJ> sigmatch (QUEUE) to (STACK) (V#1) CafeOBJ> \end{examplev} \end{vvtm} ã“ã®ä¾‹ã®å ´åˆ, çµæžœã¨ã—ã¦1ã¤ã® view \texttt{V\#1} ãŒå¾—られãŸ. ã“ã‚ŒãŒå®Ÿéš›ã«ã¯ã©ã®ã‚ˆã†ãªå†…容ãªã®ã‹ã‚’見るã«ã¯, CafeOBJ ã® \texttt{show view} コマンドを用ã„る： \begin{vvtm} \begin{examplev} CafeOBJ> sh view V#1 view V#1 from QUEUE(X) to STACK(X) {sort Elt -> Elt hsort Queue -> Stack hsort ?Queue -> ?Stack op (Queue : -> SortId) -> (Stack : -> SortId) op (Elt : -> SortId) -> (Elt : -> SortId) op (_=*=_ : Queue Queue -> Bool) -> (_=*=_ : _ HUniversal _ _ HUniversal _ -> Bool) op (empty : -> Queue) -> (empty : -> Stack) bop (front : Queue -> Elt) -> (top : Stack -> Elt) bop (enq : Elt Queue -> Queue) -> (push : Elt Stack -> Stack) bop (deq : Queue -> Queue) -> (pop : Stack -> Stack) } \end{examplev} \end{vvtm} 上ã®çµæžœã‹ã‚‰ Queue ã«é–¢ã™ã‚‹ã‚ªãƒšãƒ¬ãƒ¼ã‚¿ã¯, Stack ã«é–¢ã™ã‚‹ã‚ªãƒšãƒ¬ãƒ¼ã‚¿ ã«å¯¾ã—ã¦, 次ã®ã‚ˆã†ã«ãƒžãƒƒãƒ”ングã•ã‚Œã¦ã„ã‚‹ã“ã¨ãŒåˆ†ã‹ã‚‹. \begin{table}[htbp] \begin{center} \begin{tabular}{lcl}\hline QUEUE & $\rightarrow$ & STACK \\\hline empty & $\rightarrow$ & empty \\ front & $\rightarrow$ & top \\ enq & $\rightarrow$ & push \\ deq & $\rightarrow$ & pop \\\hline \end{tabular} \caption{{QUEUEã‹ã‚‰STACKã¸ã®ãƒžãƒƒãƒ”ング}} \label{tab:queue-to-stack} \end{center} \end{table} \noindent ã“ã®ä¾‹ã®å ´åˆ, ã“れ以外ã®ãƒžãƒƒãƒ”ングã¯ä¸å¯èƒ½ã§ã‚ã‚‹. \section{詳細化検証ã®ä¾‹} \label{sec:refinement-check-example} 本章ã§ã¯è©³ç´°åŒ–検証ã®ä½¿ç”¨ä¾‹ã‚’示ã™. \subsection{QUEUE 㨠STACK} 第\ref{sec:sigmatch-example} ç« ã®ä¾‹ã§ \texttt{sigmatch}コマンドã«ã‚ˆã£ã¦ç”Ÿæˆã•ã‚ŒãŸ view \texttt{V\#1} ã« é–¢ã—ã¦è©³ç´°åŒ–検証を行ã†ã¨, 次ã®ã‚ˆã†ã«ãªã‚‹ï¼š \begin{vvtm} \begin{examplev} CafeOBJ> check refinement V#1 no eq front(enq(E,Q)) = front(Q) beq deq(enq(D,Q)) = enq(D,deq(Q)) CafeOBJ> \end{examplev} \end{vvtm} çµæžœã¯å¤±æ•—ã§ã‚ã‚Š, QUEUE ã«é–¢ã™ã‚‹ã©ã®å…¬ç†ãŒSTACK ã«ãŠã„㦠満足ã•ã‚Œãªã„ã‹ãŒå°å­—ã•ã‚Œã¦ã„ã‚‹. ã“ã®çµæžœã¯ç›´è¦³çš„ã«ã‚‚明らã‹ã§ã‚ã‚‹. 例ãˆã°æ¬¡ã®QUEUEã®å…¬ç† \begin{vvtm} \begin{simplev} eq front(enq(E,Q)) = front(Q) . \end{simplev} \end{vvtm} ã¯, キューã«ã‚ã‚‹è¦ç´ ã‚’追加ã—ã¦ã‚‚キューã®å…ˆé ­ã«ã‚ã‚‹è¦ç´ ã«ã¯ 変化ã®ç„¡ã„事を表ç¾ã—ãŸå…¬ç†ã§ã‚ã‚‹. ã“れを view \texttt{V\#1} ã«ã‚ˆã£ã¦STACKモジュール㫠写åƒã™ã‚‹ã¨æ¬¡ã®ã‚ˆã†ã«ãªã‚‹ï¼Ž \begin{vvtm} \begin{simplev} eq top(push(D,S)) = top(S) . \end{simplev} \end{vvtm} ã“ã‚Œã¯ã‚¹ã‚¿ãƒƒã‚¯ã«è¦ç´ ã‚’追加ã—ã¦ã‚‚先頭è¦ç´ ã«ã¯å¤‰åŒ–ãŒç„¡ã„, ã¨ã„ã†ã“ã¨ã‚’ 言ã£ã¦ã„ã‚‹ã‚ã‘ã§ã‚ã‚Š, ã—ãŸãŒã£ã¦ã‚¹ã‚¿ãƒƒã‚¯ã®å®šç¾©ã¨çŸ›ç›¾ã™ã‚‹. 具体的ã«ã¯ STACK ã®å…¬ç† \begin{vvtm} \begin{simplev} eq top(push(D,S)) = D . \end{simplev} \end{vvtm} ã¨ç›¸å®¹ã‚Œãªã„. \subsection{モノイドã¨è‡ªç„¶æ•°ä¸Šã®æ¼”ç®—ã®ä¾‹} 次ã«éžå¸¸ã«å˜ç´”ã§ã‚ã‚‹ãŒ, 幾分興味深ã„例を示ã™. ã¾ãšä»¥ä¸‹ã®ãƒ¢ã‚¸ãƒ¥ãƒ¼ãƒ«ã‚’仮定ã™ã‚‹ï¼š \begin{vvtm} \begin{simplev} mod! TIMES-NAT { [ NzNat Zero < Nat ] op 0 : -> Zero op s_ : Nat -> NzNat op _+_ : Nat Nat -> Nat op _*_ : Nat Nat -> Nat vars M N : Nat eq N + s(M) = s(N + M) . eq N + 0 = N . eq 0 + N = N . eq 0 * N = 0 . eq N * 0 = 0 . eq N * s(M) = (N * M) + N . } mod* MON { [ Elt ] op null : -> Elt op _;_ : Elt Elt -> Elt {assoc idr: null} } \end{simplev} \end{vvtm} TIME-NAT ã¯, 自然数ã¨ãã®ä¸Šã®è¶³ã—ç®—(\verb:_+_:) ã¨ã‹ã‘ç®—(\verb:_*_:) ãŒå®šç¾©ã•ã‚ŒãŸãƒ¢ã‚¸ãƒ¥ãƒ¼ãƒ«ã§ã‚ã‚‹. モジュール MON ã¯ä¸€èˆ¬çš„ãªãƒ¢ãƒŽã‚¤ãƒ‰(å˜ä½å…ƒã¨2項演算をもã¤ä»£æ•°ç³»)ã‚’ 定義ã—ãŸã‚‚ã®ã§ã‚ã‚‹. ã“れらã®ãƒ¢ã‚¸ãƒ¥ãƒ¼ãƒ«ã‚’使ã£ãŸæœ€åˆã®ä¾‹ã¨ã—ã¦, 次ã®ã‚ˆã†ãª view を定義ã—ã¦ã¿ã‚‹ï¼š \begin{vvtm} \begin{simplev} view plus from MON to TIMES-NAT { sort Elt -> Nat, op _;_ -> _+_, op null -> 0 } \end{simplev} \end{vvtm} ã™ãã«å¯Ÿã›ã‚‰ã‚Œã‚‹ã‚ˆã†ã«, ã“ã‚Œã¯ãƒ¢ãƒŽã‚¤ãƒ‰ã®å˜ä½å…ƒã‚’自然数㮠0, 2項演算\texttt{\_;\_}を足ã—ç®—ã¨ã—ã¦è§£é‡ˆã—ãŸã‚‚ã®ã§ã‚ã‚‹. ã“ã®è§£é‡ˆãŒæ­£ã—ã„ã‹ã©ã†ã‹ã‚’, 仕様詳細化検証ã«ã‚ˆã‚Šèª¿ã¹ã‚‹ã¨æ¬¡ã®ã‚ˆã†ãª çµæžœã¨ãªã‚‹. \begin{vvtm} \begin{examplev} TIMES-NAT> check refinement plus yes \end{examplev} \end{vvtm} çµæžœã¯ã™ãã«è¿”ã‚Š, 期待ã—ãŸé€šã‚Šã§ã‚ã‚‹. 次ã«, モノイドã®å˜ä½å…ƒ \texttt{null} ã‚’ 1(\texttt{s(0)}) ã«, 2項演算 \texttt{\_;\_} ã‚’ã‹ã‘ç®—(\texttt{\_*\_})ã«ãƒžãƒƒãƒ—ã—㟠view \texttt{times} ã‚’ 以下ã®ã‚ˆã†ã«å®šç¾©ã™ã‚‹ï¼š \begin{vvtm} \begin{simplev} view times from MON to TIMES-NAT { sort Elt -> Nat, op _;_ -> _*_, op null -> s(0) } \end{simplev} \end{vvtm} ã“ã® view ã«é–¢ã—ã¦è©³ç´°åŒ–検査を行ã„çµæžœãŒ OK ã§ã‚ã‚Œã°, 自然数上ã®ã‹ã‘算㯠1 ã‚’å˜ä½å…ƒã¨ã—ãŸãƒ¢ãƒŽã‚¤ãƒ‰ã§ã‚る㨠解釈ã™ã‚‹ã“ã¨ãŒå‡ºæ¥ã‚‹. 上ã®ãƒžãƒƒãƒ”ングã¯ç›´è¦³çš„ã«æ­£ã—ã„ã¨æ€ã‚れるã®ã ãŒ, ã—ã‹ã—システム㯠ã—ã°ã‚‰ã考ãˆãŸå¾Œæ¬¡ã®ã‚ˆã†ãªçµæžœã‚’報告ã™ã‚‹ï¼Ž \begin{vvtm} \begin{examplev} CafeOBJ> check refinement times no eq [ident12] : null ; X-ID:Elt = X-ID:Elt \end{examplev} \end{vvtm} ã“れ㯠TIMES-NAT ã«ãŠã„㦠ã‹ã‘ç®—ã® ã®å®šç¾©ãŒä¸å®Œå…¨ãªãŸã‚ã§ã‚ã‚‹. ã¤ã¾ã‚Š\texttt{\_*\_} ㌠å˜ä½å…ƒã®å®šç¾© $ae=ea=a$ ($e$ ã‚’å˜ä½å…ƒã¨ã™ã‚‹)ã‚’ 満足ã™ã‚‹ã‚ˆã†ã«å®šç¾©ã•ã‚Œã¦ã„ãªã„ãŸã‚ã§ã‚ã‚‹. ã“れを修正ã™ã‚‹ãŸã‚ã«, å…¬ç† \begin{vvtm} \begin{simplev} eq s(0) * N = N . eq N * s(0) = N . \end{simplev} \end{vvtm} ã‚’ TIMES-NAT ã«è¿½åŠ ã™ã‚‹ã¨ã†ã¾ãゆã. 実際ã«ã¯ 2 ã¤ã‚ã®å…¬ç† \begin{vvtm} \begin{simplev} eq N * s(1) = N . \end{simplev} \end{vvtm} ã¯, æ—¢ã«å®£è¨€ã•ã‚Œã¦ã„ã‚‹å…¬ç† \begin{vvtm} \begin{simplev} eq N * s(M) = (N * M) + N . \end{simplev} \end{vvtm} ã‹ã‚‰æ¼”ç¹¹ã•ã‚Œã‚‹ã®ã§å†—é•·ã§ã‚ã‚‹. 実際, モジュール MON ã«ãŠã„ã¦, オペレータ \texttt{\_;\_} ã® \texttt{idr:} 属性ã‹ã‚‰ã‚·ã‚¹ãƒ†ãƒ ãŒè‡ªå‹•ç”Ÿæˆã™ã‚‹å…¬ç† \begin{vvtm} \begin{simplev} eq X-ID:Elt ; null = X-ID:Elt \end{simplev} \end{vvtm} ã¯, 先㮠\texttt{check} コマンドã®å®Ÿè¡Œçµæžœã§å¤±æ•—ã¨ãªã£ãŸå…¬ç†ã®ä¸€è¦§ã«ã¯ 表示ã•ã‚Œã¦ã„ãªã„. TIMES-NAT を上ã®ã‚ˆã†ã«ã—ã¦ä¿®æ­£ã—ãŸå¾Œæ”¹ã‚㦠view \texttt{times} ã‚’ å†å®šç¾©ã—, check コマンドを実行ã™ã‚‹ã¨, 今度ã¯ç›´ã¡ã«ç­”ãˆãŒè¿”ã‚Š æˆåŠŸã¨ã„ã†çµæžœã«ãªã‚‹ã¯ãšã§ã‚ã‚‹(一般ã«è©³ç´°åŒ–検証ã§æˆåŠŸã™ã‚‹å ´åˆã¯ 応答ãŒæ—©ã„)． %%% Local Variables: %%% mode: latex %%% TeX-master: t %%% End: cafeobj-1.5.4/doc/PigNose/part5.tex0000644000000000000000000004436312415124723015511 0ustar rootroot%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \newpage \chapter{モデル検査システム} \label{sec:model-check} %\parttoc % \section{モデル検査システムã®æ©Ÿèƒ½} \label{sec:model-check-func} モデル検査システムã®ç›®çš„ã¯ï¼Œä»•æ§˜åŒ–部å“ã®çµ„ã¿åˆã‚ã›ã§æ§‹æˆã•ã‚ŒãŸã‚·ã‚¹ãƒ†ãƒ  ãŒï¼Œãƒ‡ãƒƒãƒ‰ãƒ­ãƒƒã‚¯ä¸åœ¨ã‚„データ整åˆæ€§ã¨ã„ã£ãŸå®‰å…¨æ€§ã‚’満ãŸã™ã“ã¨ã‚’ 網羅的ã«æ¤œæŸ»ã™ã‚‹ã“ã¨ã§ã‚る． 詳細化仕様検査システムã§è§¦ã‚ŒãŸåŒå¯¾å¸°ç´(co-indution)も一種ã®å®‰å…¨æ€§ã¨ã¿ ãªã™ã“ã¨ãŒå¯èƒ½ã§ã‚ã‚‹ã®ã§ï¼Œãƒ¢ãƒ‡ãƒ«æ¤œæŸ»ã‚·ã‚¹ãƒ†ãƒ ã¯æŒ¯èˆžç­‰å¼ã®è©³ç´°åŒ–検証ã«ã‚‚ 用ã„られる． モデル検査ã®åŸºæœ¬æ©Ÿèƒ½ã¯, \begin{itemize} \item システムã®åˆæœŸçŠ¶æ…‹(始状態)ã¨æ¤œæŸ»ã™ã¹ã性質㌠与ãˆã‚‰ã‚Œ, \item 始状態ã‹ã‚‰é·ç§»å¯èƒ½ãªå…¨ã¦ã®çŠ¶æ…‹ã«ã¤ã„ã¦, 与ãˆã‚‰ã‚ŒãŸæ€§è³ªãŒæº€è¶³ã•ã‚Œã‚‹ã‹ã©ã†ã‹ã‚’検査ã™ã‚‹ \end{itemize} ã“ã¨ã§ã‚ã‚‹. ã“ã®å ´åˆã®çµæžœã¨ã—ã¦ã¯æ¬¡ã®3通りãŒè€ƒãˆã‚‰ã‚Œã‚‹ï¼š \begin{description} \item[正常ã«çµ‚了] ã“ã®å ´åˆï¼Œã‚·ã‚¹ãƒ†ãƒ ã¯ä¸Žãˆã‚ŒãŸæ€§è³ªã‚’満ãŸã™ã“ã¨ãŒä¿è¨¼ã•ã‚Œã‚‹ï¼Ž \item[å例を発見ã—ã¦çµ‚了] ã“ã®å ´åˆï¼Œã‚·ã‚¹ãƒ†ãƒ ã®å®Ÿè¡Œç³»åˆ—ã®ä¸­ã«ä¸Žãˆã‚‰ã‚ŒãŸæ€§è³ªãŒæˆç«‹ã—ãªã„よã†ãªå例 ãŒå­˜åœ¨ã™ã‚‹ã“ã¨ãŒè¨¼æ˜Žã•ã‚Œã‚‹ï¼Žãƒ¢ãƒ‡ãƒ«æ¤œæŸ»ã‚·ã‚¹ãƒ†ãƒ ã¯ï¼Œãã®å§‹çŠ¶æ…‹ã‹ã‚‰ã®å®Ÿè¡Œ 系列ã¨åé§è¨¼æ˜Žã‹ã‚‰, å例ã¨ã—ã¦è¿”ã™ï¼Ž \item[çµæžœä¸å®šã®ã¾ã¾çµ‚了] å‰è¿°ã®è©³ç´°åŒ–検証ã¨åŒã˜ã，モデル検査ã¯ä¸€èˆ¬ã«æ±ºå®šä¸èƒ½ã§ã‚ã‚‹ã®ã§ï¼Œäº‹å‰ã« 定ã‚られãŸè¨ˆç®—資æºã®ä½¿ç”¨é‡ã‚’超éŽã—ãŸå ´åˆã«ã¯ï¼Œãƒ¢ãƒ‡ãƒ«æ¤œæŸ»ã‚·ã‚¹ãƒ†ãƒ ã¯çµæžœ ä¸å®šã®ã¾ã¾çµ‚了ã™ã‚‹ï¼Žã“ã®å ´åˆã§ã‚‚，探索ãŒçµ‚了ã—ãŸå®Ÿè¡Œç³»åˆ—ã«ã¤ã„ã¦ã®æƒ…å ± ã¯æ示ã™ã‚‹ï¼Ž \end{description} \subsection{モデル検査ã®å®Ÿè¡Œæ–¹å¼} 振舞仕様ã«ãŠã‘るモデル検査ã«ã¤ã„ã¦ã¯ï¼Œã‚·ã‚¹ãƒ†ãƒ ã®æ€§è³ªã®è¨˜è¿°åŠã³æ¤œæŸ»ã‚¢ ルゴリズムã«é–¢ã—ã¦Î¼è¨ˆç®—ã‚’å‚考ã¨ã—ã¦ã„る．μ計算系ã«ãŠã‘ã‚‹ä¸å‹•ç‚¹æ¼”ç®—å­ ã‚’ç”¨ã„ã‚‹ã“ã¨ã§å®‰å…¨æ€§ã‚„活性以外ã®æ€§è³ªã‚‚柔軟ã«è¨˜è¿°ã§ãる上ã«ï¼Œãƒ¢ãƒ‡ãƒ«æ¤œæŸ» アルゴリズムもä¸å‹•ç‚¹ã®ç¹°ã‚Šè¿”ã—計算ã¨ã—ã¦å®šå¼åŒ–ã•ã‚ŒãŸã‚， åé§ã‚¨ãƒ³ã‚¸ãƒ³ã‚’用ã„ãŸè¿°èªžè¨ˆç®—ã«ã‚ˆã‚‹å®Ÿè£…ãŒå¯èƒ½ã¨ãªã£ã¦ã„る． 詳細を安全性ã®ãƒ¢ãƒ‡ãƒ«æ¤œæŸ»ã‚’例ã«ã¨ã£ã¦èª¬æ˜Žã™ã‚‹ï¼Žè¨¼æ˜Žã—ãŸã„安全性を示㙠述語をP(X:h) (X ã¯éš è”½ã‚½ãƒ¼ãƒˆ h ã®å¤‰æ•°)ã¨ã™ã‚‹ã¨ï¼Œå®‰å…¨æ€§ P ã®ãƒ¢ãƒ‡ãƒ«æ¤œæŸ» (後å‘ãã®)手続ãã¯æ¬¡ã®ã‚ˆã†ãªè¿°èªžã«é–¢ã™ã‚‹æ¼¸åŒ–å¼ $p_n$ ã§ä¸Žãˆã‚‰ã‚Œã‚‹ï¼Ž ã“ã“ã§ï¼Œéš è”½ã‚½ãƒ¼ãƒˆä¸Šã®è¿°èªžãŒå¯¾å¿œã™ã‚‹ã‚·ã‚¹ãƒ†ãƒ ã®çŠ¶æ…‹é›†åˆã®è¨˜å·è¡¨ç¾ã‚’与㈠ã¦ã„る点ã«æ³¨æ„ã•ã‚ŒãŸã„． \begin{itemize} \item $\mathtt{p_0(X)=\neg P(X)}$ \item $\mathtt{p_{n+1}(X)=p_n(X)\vee pre(p_n(X))}$ \item $\mathtt{\neg p_n(init)}$ ã‹ã©ã†ã‹ã‚’å„ステップã”ã¨ã«èª¿ã¹ã‚‹ \end{itemize} ãŸã ã— init ã¯ã‚·ã‚¹ãƒ†ãƒ ã®å§‹çŠ¶æ…‹ã‚’表ã™(隠蔽ソート h ã®)定数記å·ã§ã‚り， 状態 P(X) ã®å‰çŠ¶æ…‹ pre(P(X)) ã¯ï¼Œå…¨ã¦ã®ãƒ¡ã‚½ãƒƒãƒ‰ m ã«ã¤ã„㦠$\mathtt{(\forall Y) P(m(Y,X))}$ ã®é¸è¨€(disjunction) ã‚’ã¨ã£ãŸè¿°èªž(è«–ç† å¼)ã¨ã—ã¦å®šç¾©ã•ã‚Œã‚‹ï¼Žã“ã“㧠Y 㯠m ã®ã‚¢ãƒªãƒ†ã‚£ã«é©åˆ‡ãªã‚½ãƒ¼ãƒˆã‚’æŒã¤é™é‡ 変数ã®é›†åˆã§ã‚る．直観的ã«ã¯ï¼Œ$p_n(X)$ ã¯ï¼Œãã“ã‹ã‚‰ n ステップã§å®‰å…¨æ€§ P(X) ã‚’ç ´ã‚‹ã“ã¨ãŒã§ãるよã†ãªçŠ¶æ…‹ã®é›†åˆã‚’表ã—ã¦ã„る． 上述ã®æ¼¸åŒ–å¼ã¯åŽæŸã™ã‚‹ã“ã¨ãŒä¿è¨¼ã•ã‚Œã¦ã„ã‚‹ã„ã‚‹ã‚‚ã®ã®ï¼Œæœ‰é™ã‚¹ãƒ†ãƒƒãƒ—ã§åŽ æŸã™ã‚‹(ã‚ã‚‹ n ã«ã¤ã„㦠$p_{n+1} = p_{n}$)ã¨ã¯é™ã‚‰ãªã„．ã—ãŸãŒã£ã¦ï¼Œã‚¢ãƒ« ゴリズム化ã™ã‚‹å ´åˆã«ã¯ï¼Œï¼‘)有é™ã§åŽæŸï¼Œï¼’) $p_n(init)$ ã¨ãªã£ã¦å例発見， ３)ã©ã¡ã‚‰ã‚‚ä¸æ˜Žï¼Œã®ï¼“通りã®çµæžœãŒå¾—られ，ã“ã‚Œã¯ä¸Šè¿°ã®ãƒ¢ãƒ‡ãƒ«æ¤œæŸ»ã‚·ã‚¹ãƒ† ムã®å®Ÿè¡Œçµæžœã«å¯¾å¿œã™ã‚‹ï¼Ž å‰å‘ãã®ãƒ¢ãƒ‡ãƒ«æ¤œæŸ»æ‰‹ç¶šãã«ã¤ã„ã¦ã‚‚，状態 P(X) ã®æ¬¡çŠ¶æ…‹ post(P(X))を定 義ã™ã‚Œã°åŒæ§˜ã®æ¼¸åŒ–å¼ã¨ã—ã¦å®šå¼åŒ–ã§ãる．ã“ã®ã‚ˆã†ã«ï¼Œå§‹çŠ¶æ…‹(init)，状態 集åˆ(P(X))，次状態(post(P(X)))，å‰çŠ¶æ…‹(pre(P(X)))ãŒå®šç¾©ã•ã‚Œã¦ã„ã‚Œã°ï¼Œ μ計算ã«ãŠã‘るモデル検査手続ãã‚’ åé§ã‚¨ãƒ³ã‚¸ãƒ³ を用ã„ãŸè¿°èªžè¨ˆç®—ã¨ã—ã¦è¡Œã†ã“ ã¨ãŒã§ãる．ã„ã‚ã°ï¼Œã“ã®ç‚¹ãŒæœ¬ãƒ¢ãƒ‡ãƒ«æ¤œæŸ»ã‚·ã‚¹ãƒ†ãƒ ã®æ ¸å¿ƒã§ã‚る． \subsection{åŒå¯¾æ©Ÿèƒ½æ³•ã®å®Ÿè¡Œæ–¹å¼} \label{sec:how-to-co-induction} 仕様検証システムã«ãŠã‘る振舞等å¼ã®è©³ç´°åŒ–検証ã«å¿…è¦ãªåŒå¯¾å¸°ç´æ³•ã‚’è¡Œã†ã« ã¯ï¼ŒçŠ¶æ…‹ã®å¯¾(å³ã¡é–¢ä¿‚)を状態ã¨ã¿ãªã—ã¦å®‰å…¨æ€§ãƒ¢ãƒ‡ãƒ«æ¤œæŸ»ã‚’実行ã™ã‚Œã°è‰¯ã„． 例ãˆã°ï¼ŒæŒ¯èˆžç­‰å¼$s\sim t$を証明ã™ã‚‹ã«ã¯çŠ¶æ…‹ã®å¯¾ (s,t) を始状態ã¨ã—㦠属性åŒå€¤é–¢ä¿‚$\mathtt{{=}{*}{=}}$(å…¨ã¦ã®å±žæ€§ã®å€¤ãŒåŒã˜)ãŒå®‰å…¨æ€§ã‚’æŒã¤ã“ ã¨ã‚’示ã›ã°è‰¯ã„．ã“ã‚Œã¯ä»¥ä¸‹ã®é–¢ä¿‚ã«é–¢ã™ã‚‹æ¼¸åŒ–å¼ã¨ã—ã¦å®šå¼åŒ–ã§ã，å‰è¿°ã® 安全性モデル検査ã¨åŒæ§˜ã«åé§ã‚¨ãƒ³ã‚¸ãƒ³ を用ã„ã¦å‡¦ç†ã™ã‚‹ã“ã¨ãŒã§ãる． \begin{itemize} \item $\mathtt{r_0(X,Y)=\neg(X{=}{*}{=}Y)}$ \item $\mathtt{r_{n+1}(X,Y)=r_n(X,Y)\vee pre(r_n(X,Y))}$ \item $\mathtt{\neg r_n(s,t)}$　ã‹ã©ã†ã‹å„ステップã”ã¨ã«èª¿ã¹ã‚‹ \end{itemize} \section{モデル検査ã§ã®æ–°è¦ã‚³ãƒžãƒ³ãƒ‰} \label{sec:model-check-new-command} モデル検査ã§ã¯ CafeOBJ ã«å¾“æ¥ã‹ã‚‰ã‚ã‚‹ \texttt{check} コマンドを拡張ã—㟠次ã«ç¤ºã™ã‚³ãƒžãƒ³ãƒ‰ã‚’用ã„ã‚‹: \begin{vvtm} \begin{simplev} check { safety | invariance } <述語å> [ of <文脈項> ] from <åˆæœŸçŠ¶æ…‹> \end{simplev} \end{vvtm} ã“ã“ã§ï¼Œ\texttt{<述語å>} ã¯ï¼Œã‚る隠蔽ソート $H$ ã«é–¢ã™ã‚‹è¿°èªž $P(X:H)$ ã®åå‰ã§ã‚る． $<$åˆæœŸçŠ¶æ…‹$>$ ã¯ï¼Œ$H$ ã®åˆæœŸçŠ¶æ…‹ã‚’表ç¾ã™ã‚‹å®šæ•°ã‚ªãƒšãƒ¬ãƒ¼ã‚¿ã®åå‰ã§ã‚る． オプション㮠\texttt{of <文脈項>} ãŒã‚ã£ãŸå ´åˆ, 検査ã¯\texttt{<文脈項>} 㧠表ç¾ã•ã‚Œã‚‹ã‚·ã‚¹ãƒ†ãƒ çŠ¶æ…‹ã«å¯¾ã—ã¦å®Ÿæ–½ã•ã‚Œã‚‹. ãã†ã§ç„¡ã‘ã‚Œã°, システムãŒç”Ÿæˆ ã™ã‚‹ã‚½ãƒ¼ãƒˆ $H$ ã®å¤‰æ•°ã‚’文脈ã¨ã—ã¦æ¤œæŸ»ã‚’実施ã™ã‚‹. ã“ã®ã‚³ãƒžãƒ³ãƒ‰ã®å‹•ä½œã¯ä»¥ä¸‹ã®é€šã‚Šã§ã‚ã‚‹. % ã¾ãš\texttt{<åˆæœŸçŠ¶æ…‹>} ã¨ã—ã¦, é … $I$ ãŒæŒ‡å®šã•ã‚Œã¦ã„ã‚‹ã‚‚ã®ã¨ã™ã‚‹. 検査ã¯å¤§ãã2段階ã«åˆ†ã‘ã¦è¡Œã‚れる. 第一段階ã¯åˆæœŸæ–‡è„ˆã«é–¢ã—㦠$P$ ãŒæˆã‚Šç«‹ã¤ã‹ã©ã†ã‹ã®æ¤œæŸ»ã§ã‚ã‚Š, 第二段階ã¯å„メソッドをé©ç”¨ã—ãŸæ–‡è„ˆã§ $P$ ãŒæˆç«‹ã™ã‚‹ã‹ã©ã†ã‹ã‚’ 検査ã™ã‚‹ãƒ«ãƒ¼ãƒ—ã§ã‚ã‚‹. \paragraph{åˆæœŸæ–‡è„ˆã«é–¢ã™ã‚‹æ¤œæŸ»} ã¾ãšåˆæœŸæ–‡è„ˆã«é–¢ã™ã‚‹æ¤œæŸ»ã¯ä»¥ä¸‹ã®ã‚ˆã†ã«è¡Œã‚れる. \begin{enumerate} \item åˆæœŸæ¤œæŸ»å¯¾è±¡é … $t_1$ を次ã®ã‚ˆã†ã«ã—ã¦è¨­å®šã™ã‚‹ï¼š \begin{itemize} \item check コマンド㧠\texttt{<文脈項>} $c$ ãŒæŒ‡å®šã•ã‚Œã¦ã„ã‚‹ãªã‚‰ã° $t_1 = c$ ã¨ã™ã‚‹ \item ã•ã‚‚ãªã‘ã‚Œã°, ã“れを\texttt{<åˆæœŸçŠ¶æ…‹>}ã¨ã—ã¦æŒ‡å®šã•ã‚Œã¦ ã„ã‚‹é … $I$ ã¨ã™ã‚‹($t_1 = I$) \end{itemize} \item $P(t_1)$ ãŒæˆç«‹ã™ã‚‹ã‹ã©ã†ã‹ã‚’調ã¹ã‚‹. ã“ã‚Œã¯, åé§ã‚¨ãƒ³ã‚¸ãƒ³ã‚’用ã„ã¦, \verb:~:$P(t_1)$ ãŒåé§å‡ºæ¥ã‚‹ã‹ å¦ã‹ã‚’ã—らã¹ã‚‹ã“ã¨ã«ã‚ˆã£ã¦è¡Œã‚れる. \begin{itemize} \item $P(t_1)$ ãŒæˆç«‹ã™ã‚‹å ´åˆ OK ã¨ã—ã¦ç¬¬ä¸€æ®µéšŽã‚’終了ã™ã‚‹. \item \verb:~:$P(t_1)$ ã®åé§ã«å¤±æ•—ã—ãŸå ´åˆ: \begin{itemize} \item $t_1$ ãŒæŒ‡å®šã®æ–‡è„ˆé …ã«ã‚ˆã‚‹ã‚‚ã®ã§ã‚ã£ãŸå ´åˆ, \begin{enumerate} \item $P(I)$ ãŒæˆç«‹ã™ã‚‹ã‹ã©ã†ã‹ã‚’調ã¹ã‚‹. \begin{itemize} \item æˆç«‹ã™ã‚‹ãªã‚‰ã° OK ã¨ã—ã¦ç¬¬ä¸€æ®µéšŽã‚’終了ã™ã‚‹. \item ä¸æˆç«‹ãªã‚‰ã°, å例を具体的ã«ç¤ºã™ãŸã‚, :verb:~$P(I)$ ãŒæˆç«‹ã™ã‚‹ã‹ã©ã†ã‹ã‚’調ã¹ã‚‹ï¼š \begin{itemize} \item æˆç«‹ã™ã‚Œã°, ã“ã®è¨¼æ˜Žæœ¨ãŒå例ã¨ãªã‚‹. ã“ã®æ™‚点ã§ãƒ¢ãƒ‡ãƒ«æ¤œæŸ»ã‚’終了ã™ã‚‹. \item ä¸æˆç«‹ãªã‚‰ã°, NG ã¨ã—ã¦ç¬¬äºŒæ®µéšŽã¸è¡Œã. \end{itemize} \end{itemize} \end{enumerate} \item $t_1$ ãŒæŒ‡å®šã®æ–‡è„ˆé …ã«ã‚ˆã‚‹ã‚‚ã®ã§ç„¡ã‹ã£ãŸå ´åˆ, 失敗ã¨ã—ã¦ç¬¬äºŒæ®µéšŽã¸è¡Œã. \end{itemize} \end{itemize} \end{enumerate} \paragraph{メソッドé©ç”¨æ–‡è„ˆã§ã®æ¤œæŸ»} 上ã§è¿°ã¹ãŸç¬¬ä¸€æ®µéšŽã§å¤±æ•—ã¨ãªã£ãŸå ´åˆ, 検査対象ã¨ãªã£ãŸ $P(t_1)$ 㯠åé§ã‚¨ãƒ³ã‚¸ãƒ³ã‚’用ã„ã¦è¨¼æ˜Žã‚’è¡Œã†éš›ã®æ–°ãŸãªå…¬ç†ã¨ã—ã¦è¿½åŠ ã•ã‚Œã‚‹. ã“ã‚Œã¯ä»¥é™ã§èª¬æ˜Žã™ã‚‹ãƒ¡ã‚½ãƒƒãƒ‰ã‚’é©ç”¨ã—ãŸæ–‡è„ˆã«ãŠã„ã¦è¨¼æ˜Žã« 失敗ã—ãŸæ–‡è„ˆã«ã¤ã„ã¦ã‚‚åŒæ§˜ã§ã‚ã‚Š, ç¹°ã‚Šè¿”ã—ã®æ¯Žã«ãã®å›žã§ 失敗ã—ãŸã‚‚ã®ãŒé †æ¬¡è¿½åŠ ã•ã‚Œã¦è¡Œã. ã“ã®æ–°å…¬ç†ã®é›†åˆã‚’ $Ax$ ã¨ã™ã‚‹. \noindent ã—ãŸãŒã£ã¦, 第一段階ã§å¤±æ•—ã®å ´åˆã¯ $Ax={P(t_1)}$ ã§ã‚ã‚‹. æˆåŠŸã®å ´åˆã¯ $Ax={}$(空集åˆ) ã¨ãªã‚‹. \noindent 第二段階ã§ã®æ¤œæŸ»ã¯ä»¥ä¸‹ã®ã‚ˆã†ã«ã—ã¦è¡Œã‚れる. \begin{enumerate} \item æ¤œæŸ»å¯¾è±¡æ–‡è„ˆé›†åˆ $C$ ã‚’åˆæœŸåŒ–ã™ã‚‹. \begin{itemize} \item \texttt{<文脈項>} $c$ ãŒæŒ‡å®šã•ã‚ŒãŸå ´åˆã¯ $C={c}$ ã¨ã™ã‚‹. \item ãã†ã§ãªã‘ã‚Œã°, $C={I}$ ã¨ã™ã‚‹. \end{itemize} \item ä»®å®šç¯€é›†åˆ $H$ ã‚’ç©ºé›†åˆ ${}$ ã«åˆæœŸåŒ–ã™ã‚‹. \item 文脈構æˆå­é›†åˆ $M$ を空集åˆã«åˆæœŸåŒ–ã™ã‚‹. \item 以下を, æ–‡è„ˆé›†åˆ $C$ ãŒç©ºã«ãªã‚‹ã‹ã‚·ã‚¹ãƒ†ãƒ ãƒªã‚½ãƒ¼ã‚¹ã®åˆ¶ç´„æ¡ä»¶ ã«ã‚ˆã£ã¦åé§ã‚¨ãƒ³ã‚¸ãƒ³ãŒçµ‚了ã™ã‚‹ã¾ã§ç¹°ã‚Šè¿”ã™. \begin{enumerate} \item $C$ ã«å«ã¾ã‚Œã‚‹å„é … $c_i$ã«ã¤ã„ã¦ï¼š \begin{enumerate} \item $C=C - {c_i}$ ã¨ã™ã‚‹. \item $M$ ã«å«ã¾ã‚Œã‚‹å„文脈構æˆå­ $gen_j$ ã«ã¤ã„ã¦, $c_i$ 㨠$gen_j$ ã‹ã‚‰, 検査対象項 $t_ij$ を作る. \end{enumerate} \end{enumerate} \item 指定ã•ã‚ŒãŸè¿°èªž $P$ ã«é–¢ã—ã¦ï¼Œ$P(c)$ ㌠æˆã‚Šç«‹ã¤ã‹ã©ã†ã‹ã‚’調ã¹ã‚‹ï¼Ž \item ã“ã‚ŒãŒæˆã‚Šç«‹ãŸãªã‘ã‚Œã°, åˆæœŸçŠ¶æ…‹ã«å¯¾ã—㦠$P(<åˆæœŸçŠ¶æ…‹>)$ ãŒæˆã‚Šç«‹ã¤ã‹ã©ã†ã‹èª¿ã¹ã‚‹. \begin{enumerate} \item åˆæœŸçŠ¶æ…‹ã«å¯¾ã—ã¦æˆã‚Šç«‹ã¤å ´åˆã¯ OK ã¨ã™ã‚‹ \item æˆã‚Šç«‹ãŸãªã„å ´åˆã¯, $\neg P(åˆæœŸçŠ¶æ…‹)$ をゴールã¨ã—㦠åé§ã‚’試ã¿ã‚‹äº‹ã«ã‚ˆã‚Š, å例を探ã™. å例ãŒè¦‹ä»˜ã‹ã‚Œã°ã“れをå°å­—ã™ã‚‹. ã„ãšã‚Œã®å ´åˆã‚‚, 安全性ã®æ¤œæŸ»ã«ä¸æˆåŠŸã¨ã—ã¦çµ‚了ã™ã‚‹. \end{enumerate} \item $H$ ã«é–¢ã™ã‚‹å…¨ã¦ã®ãƒ¡ã‚½ãƒƒãƒ‰ $m_i$ ã«å¯¾ã—ã¦ï¼Œ $\forall(Y) . P(m(X, Y))$ ãŒæˆã‚Šç«‹ã¤ã‹ã©ã†ã‹ã‚’調ã¹ã‚‹ï¼Ž \end{enumerate} \newpage \section{モデル検査ã®ä½¿ç”¨ä¾‹} \label{sec:model-check-example} 下ã¯éŠ€è¡Œå£åº§ã«ã¤ã„ã¦ã®å˜ç´”ãªä»•æ§˜ã§ã‚ã‚‹. \begin{vvtm} \begin{simplev} mod! INT' { protecting(FOPL-CLAUSE) [ Int ] op 0 : -> Int op _+_ : Int Int -> Int op _-_ : Int Int -> Int pred _<=_ : Int Int vars M N : Int ax M <= M . ax 0 <= M & 0 <= N -> 0 <= M + N . ax M <= N -> 0 <= N - M . } mod* ACCOUNT { protecting(INT') *[ Account ]* op new-account : -> Account bop balance : Account -> Int bop deposit : Int Account -> Account bop withdraw : Int Account -> Account var A : Account vars M N : Int eq balance(new-account) = 0 . ax 0 <= N -> balance(deposit(N,A)) = balance(A) + N . ax ~(0 <= N) -> balance(deposit(N,A)) = balance(A) . ax N <= balance(A) -> balance(withdraw(N,A)) = balance(A) - N . ax ~(N <= balance(A)) -> balance(withdraw(N,A)) = balance(A) . } \end{simplev} \end{vvtm} モジュール INT' ã¯æ•´æ•°ã®ä»•æ§˜ã§ã‚ã‚‹ãŒ, 銀行å£åº§ã®ä»•æ§˜ã‚’表ç¾ã™ã‚‹ãŸã‚ã«å¿…è¦æœ€ä½Žé™ã®æ¼”ç®—ã¨å…¬ç†ã®ã¿ãŒä»•æ§˜åŒ–ã•ã‚Œã¦ã„ã‚‹. å£åº§ã¯ãƒ¢ã‚¸ãƒ¥ãƒ¼ãƒ« ACCOUNT ã§å®šç¾©ã•ã‚Œã¦ã„る隠れソート $Account$ 㫠よã£ã¦ãƒ¢ãƒ‡ãƒ«åŒ–ã•ã‚Œã¦ã„ã‚‹. 観察å­(attribute) \texttt{balance} ã¯ç¾åœ¨ã®é é‡‘高を見るもã®ã§ã‚ã‚Š, メソッド \texttt{dposit} 㨠\texttt{withdraw} ã¯, ãã‚Œãžã‚Œé é‡‘ã®é ã‘入れ㨠引出ã—ã«ç›¸å½“ã™ã‚‹. å£åº§ã®åˆæœŸçŠ¶æ…‹ã¯, 定数 \texttt{new-account} ã§è¡¨ç¾ ã•ã‚Œã¦ãŠã‚Š, åˆæœŸã®é é‡‘残高㯠0 ã§ã‚ã‚‹. ã“ã‚Œã¯å…¬ç† \begin{vvtm} \begin{simplev} eq balance(new-account) = 0 . \end{simplev} \end{vvtm} ã«ã‚ˆã£ã¦è¡¨ç¾ã•ã‚Œã¦ã„ã‚‹. ãã®ä»–ã®å…¬ç†ã¯, \texttt{deposit} 㨠\texttt{withdraw} ã®å‹•ä½œã®æ„味 ãŠã‚ˆã³åˆ¶ç´„æ¡ä»¶ã‚’表ç¾ã—ãŸã‚‚ã®ã§ã‚ã‚‹. 例ãˆã° \begin{vvtm} \begin{simplev} ax N <= balance(A) -> balance(withdraw(N,A)) = balance(A) - N . \end{simplev} \end{vvtm} ã¯, ç¾åœ¨ã®é é‡‘高㌠$N$ 以上ã§ã‚ã£ãŸæ™‚ã«, \texttt{withdraw} ãŒå®Ÿè¡Œå‡ºæ¥, çµæžœã¨ã—ã¦é é‡‘高㌠$N$ ã ã‘減るã“ã¨ã‚’ 表ç¾ã—ã¦ã„ã‚‹. 一般ã«éš ã‚Œã‚½ãƒ¼ãƒˆã‚’用ã„ã¦ã“ã®ã‚ˆã†ãªã‚·ã‚¹ãƒ†ãƒ çŠ¶æ…‹é·ç§»ã‚’ 表ç¾ã™ã‚‹å ´åˆã¯, å…¨ã¦ã®æ¡ä»¶ã«å¯¾ã—ã¦é™½ã«çŠ¶æ…‹å¤‰åŒ–を表ç¾ã—ã¦ã‚„ã‚‹å¿…è¦ãŒ ã‚ã‚‹. 例ãˆã° \texttt{withdraw} ã®å ´åˆ, é é‡‘残高㌠$N$ より少ãªã„å ´åˆ ã« \texttt{withdraw(N,A)} ãŒå®Ÿè¡Œã•ã‚Œãªã„ã®ã¯ä¸Šã®å…¬ç†ã§æ˜Žã‚‰ã‹ã§ ã‚ã‚‹ãŒ, ã“ã®å ´åˆã§ã‚‚システム状態ãŒã€Œå¤‰åŒ–ã—ãªã„ã€ã¨ã„ã†ã“ã¨ã‚’ 表ç¾ã™ã‚‹å¿…è¦ãŒã‚ã‚‹. ã“ã‚ŒãŒ, ã‚‚ã†ä¸€ã¤ã® \texttt{withdraw} ã«é–¢ã™ã‚‹å…¬ç† \begin{vvtm} \begin{simplev} ax ~(N <= balance(A)) -> balance(withdraw(N,A)) = balance(A) . \end{simplev} \end{vvtm} ã§ã‚ã‚‹. 下㯠ACCOUNT モジュールã§ãƒ¢ãƒ‡ãƒ«æ¤œæŸ»ã‚’è¡Œã†ãŸã‚ã«ç”¨æ„ã—㟠モジュール PROOF ã§ã‚ã‚‹. \begin{vvtm} \begin{simplev} mod* PROOF { protecting(ACCOUNT) pred P : Account . #define P(A:Account) ::= 0 <= balance(A) . op a : -> Account . } \end{simplev} \end{vvtm} 述語 $P$ ã¯, å£åº§ã®æ®‹é«˜ãŒæ±ºã—㦠0 よりå°ã•ããªã‚‹äº‹ã¯ãªã„, ã¨ã„ã†ã“ã¨ã‚’表ç¾ã™ã‚‹ã‚‚ã®ã§ã‚ã‚‹. ã“ã‚ŒãŒå®Ÿéš›ã«æˆç«‹ã™ã‚‹äº‹ã‚’, モデル検査システムを用ã„ã¦èª¿ã¹ã‚‹ï¼š 下ã¯ãã®ãŸã‚ã®ã‚¹ã‚¯ãƒªãƒ—トã§ã‚る： \begin{vvtm} \begin{simplev} option reset flag(auto,on) flag(quiet,on) param(max-proofs,1) flag(universal-symmetry,on) flag(print-proofs,on) flag(print-stats,off) open PROOF check safety P from new-account . \end{simplev} \end{vvtm} 最後ã®è¡Œã§, モデル検査システムãŒèµ·å‹•ã•ã‚Œã¦ã„ã‚‹. ã“れを実行ã™ã‚‹ã¨çµæžœã¯æ¬¡ã®ã‚ˆã†ã«ãªã‚‹ã¯ãšã§ã‚ã‚‹ (ã“ã®ä¾‹ã§ã¯ä¸Šè¨˜ã®ãƒ¢ã‚¸ãƒ¥ãƒ¼ãƒ«å®£è¨€ãªã‚‰ã³ã«å®Ÿè¡Œã‚¹ã‚¯ãƒªãƒ—トを \texttt{bak.cafe} ã¨ã„ã†åå‰ã®ãƒ•ã‚¡ã‚¤ãƒ«ã«ã„ã‚Œã¦ã‚ã‚‹.) \begin{vvtm} \begin{examplev} CafeOBJ> in bank processing input : ./bank.mod -- defining module! INT'......._...* done. -- defining module* ACCOUNT ** system failed to prove =*= is a congruence of ACCOUNT done. -- defining module* PROOF -- setting flag "auto" to "on" dependent: flag(auto1, on) dependent: flag(process-input, on) dependent: flag(print-kept, off) dependent: flag(print-new-demod, off) dependent: flag(print-back-demod, off) dependent: flag(print-back-sub, off) dependent: flag(control-memory, on) dependent: param(max-sos, 500). dependent: param(pick-given-ratio, 4). dependent: param(max-seconds, 3600). -- setting flag "quiet" to "on" dependent: flag(print-message, off) -- opening module PROOF.. done. \end{examplev} \end{vvtm} \begin{vvtm} \begin{examplev} ========== case #0-1: new-account ----------_ goal: P(new-account)* ** PROOF ________________________________ 1:[back-demod:2] ~(0 <= 0) 2:[] balance(new-account) = 0 7:[] _v61:Int <= _v61 24:[back-demod:2,1] ~(0 <= 0) 25:[binary:24,7] ** ______________________________________ ** success ========== case #1-1: deposit(_V339:Int,_hole329:Account) ---------- hypo: \A [ _V337:Int ] (\A [ _hole329:Account ] P(withdraw(_V337, _hole329)))_ goal: \A [ _V339:Int ] (\A [ _hole329:Account ] P(_hole329) -> P(deposit(_V339, _hole329)))*_* ** PROOF ________________________________ 1:[] 0 <= balance(#c-1.Account) 2:[back-demod:161] ~(0 <= (balance(#c-1.Account) + #c-1.Int)) 5:[] ~(0 <= _v34:Int) | balance(deposit(_v34:Int,_v33:Account)) = balance(_v33) + _v34 6:[] 0 <= _v62:Int | balance(deposit(_v62:Int,_v63:Account)) = balance(_v63) 10:[] ~(0 <= _v41:Int) | ~(0 <= _v42:Int) | 0 <= (_v41:Int + _v42:Int) 136:[para-from:6,2,unit-del:1] 0 <= #c-1.Int 150:[hyper:136,10,1] 0 <= (balance(#c-1.Account) + #c-1.Int) 161:[hyper:136,5] balance(deposit(#c-1.Int,_v175:Account)) = balance(_v175) + #c-1.Int 162:[back-demod:161,2] ~(0 <= (balance(#c-1.Account) + #c-1.Int)) 163:[binary:162,150] ** ______________________________________ ** succes \end{examplev} \end{vvtm} \begin{vvtm} \begin{examplev} ========== case #1-2: withdraw(_V337:Int,_hole329:Account) ----------_ goal: \A [ _V337:Int ] (\A [ _hole329:Account ] P(_hole329) -> P(withdraw(_V337, _hole329)))*_* ** PROOF ________________________________ 1:[] 0 <= balance(#c-1.Account) 2:[back-demod:134] ~(0 <= (balance(#c-1.Account) - #c-1.Int)) 6:[] ~(_v34:Int <= balance(_v33:Account)) | balance(withdraw(_v34:Int, _v33:Account)) = balance(_v33) - _v34 7:[] _v58:Int <= balance(_v59:Account) | balance(withdraw(_v58:Int, _v59:Account)) = balance(_v59) 10:[] ~(_v45:Int <= _v44:Int) | 0 <= (_v44:Int - _v45:Int) 126:[para-from:7,2,unit-del:1] #c-1.Int <= balance(#c-1.Account) 133:[hyper:126,10] 0 <= (balance(#c-1.Account) - #c-1.Int) 134:[hyper:126,6] balance(withdraw(#c-1.Int,#c-1.Account)) = balance(#c-1.Account) - #c-1.Int 135:[back-demod:134,2] ~(0 <= (balance(#c-1.Account) - #c-1.Int)) 136:[binary:135,133] ** ______________________________________ ** success ** Predicate P is safe!! 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\def\listtablename{表目次} \def\refname{å‚考文献} \def\bibname{å‚考文献} \def\indexname{索引} \def\appendixname{付録} %%%%%%%%%% Verbatim \DefineVerbatimEnvironment% {simplev}{Verbatim} {fontsize=\small} \DefineVerbatimEnvironment% {examplev}{Verbatim} {frame=leftline,fontsize=\small} %%%%%%%%%% \definecolor{shadecolor}{gray}{0.9} \newenvironment{vvtm}% {\parskip=0pt\lineskip=0pt\begin{center}\begin{minipage}{0.8\textwidth}\begin{snugshade}}% {\end{snugshade}\end{minipage}\end{center}} %\includeonly{appendix} %%%%%%%%%% \begin{document} \headstyles{default} \tightlists \midsloppy \raggedbottom \chapterstyle{ell} %%%%%%%% \frontmatter \pagestyle{empty} % 表紙 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \title{\textbf{PigNose 使用手引}\\ver 1.0 \\ --\textit{Draft}--} \author{澤田 寿実\\ info@cafeobj.org} \date{} \maketitle \begin{center} \includegraphics[scale=0.5]{pignose.pdf} \end{center} \thispagestyle{empty} \newpage % æ§‹æˆ %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section*{ã¯ã˜ã‚ã«} 本書ã¯, CafeOBJ 言語ã§æ›¸ã‹ã‚ŒãŸä»•æ§˜ã®ãŸã‚ã®è‡ªå‹•å®šç†è¨¼æ˜Žã‚·ã‚¹ãƒ†ãƒ  PigNose ã®åˆ©ç”¨æ‰‹å¼•ã§ã‚ã‚‹. システム㯠SRA版 CafeOBJ インタプリタ\footnote{今ã®æ‰€, CafeOBJ 言語ã®ã‚¤ ンタプリタã¯ã“ã‚Œã—ã‹å­˜åœ¨ã—ãªã„. システムã®å…¥æ‰‹å…ˆã«ã¤ã„ã¦ã¯ç¬¬ ~\ref{sec:distribution}節をå‚ç…§ã•ã‚ŒãŸã„.} ã‚’æ‹¡å¼µã—ãŸã‚‚ã®ã«ãªã£ã¦ã„ã‚‹. 従ã£ã¦, ã“れを用ã„ã‚‹ã«ã¯ CafeOBJ インタプリタã®ä½¿ç”¨æ³• ã«ã¤ã„ã¦ã‚‚知ã£ã¦ãŠãå¿…è¦ãŒã‚ã‚‹. 本書ã§ã¯, PigNose 特有ã®ã‚³ãƒžãƒ³ãƒ‰ã«ã¤ã„㦠ã®ã¿èª¬æ˜Žã™ã‚‹ã®ã§, å¿…è¦ã«å¿œã˜ã¦ CafeOBJ インタプリタã®ãƒžãƒ‹ãƒ¥ã‚¢ãƒ«\footnote{CafeOBJ インタプリタã®ãƒžãƒ‹ãƒ¥ã‚¢ãƒ«ã¯ \url{http://cafeobj.org/download/} ã‹ã‚‰ãƒ€ã‚¦ãƒ³ãƒ­ãƒ¼ãƒ‰ 出æ¥ã‚‹}. ã‚’å‚ç…§ã•ã‚ŒãŸã„. ã¾ãŸ, ã“ã“ã§ã¯ CafeOBJ 言語ã«ã¤ã„ã¦ã®èª¬æ˜Žã‚‚è¡Œã‚ãªã„. 本書ã§ã¯, CafeOBJ 言語ã«ã¤ã„ã¦ã¯æ—¢çŸ¥ã®ã‚‚ã®ã¨ä»®å®šã—ã¦ã„ã‚‹. CafeOBJ 言語ã«ã¤ã„ã¦ã®è§£èª¬ã¯, æ–‡ 献\cite{CafeRep}ã‚’å‚ç…§ã—ã¦é ‚ããŸã„. % PigNose 㯠resolution 原ç†ã‚’用ã„ãŸåé§æ³•ã«ã‚ˆã£ã¦å®šç†è¨¼æ˜Žã‚’è¡Œã†ã‚·ã‚¹ãƒ†ãƒ ã§ % ã‚ã‚‹ãŒ, ã“ã‚Œã«ã¤ã„ã¦ã®è§£èª¬ã‚‚è¡Œã‚ãªã„. % å¿…è¦ã«å¿œã˜ã¦, å‚考文献 \cite{chang-lee} 等をå‚ç…§ã—ã¦é ‚ããŸã„. % \section*{本書ã®æ§‹æˆ} 本文ã¯4部構æˆã§PigNoseシステムã®ä½¿ç”¨æ³•ãŒèª¬æ˜Žã•ã‚Œã¦ã„ã‚‹. 第I部ã§ã‚·ã‚¹ãƒ†ãƒ ã®ã‚¤ãƒ³ã‚¹ãƒˆãƒ¼ãƒ«æ³•ã‚’è¿°ã¹, 第II部ã§åé§ã‚¨ãƒ³ã‚¸ãƒ³, 第III部ã§è©³ç´°åŒ–検証, 第IV部ã§å®‰å…¨æ€§ãƒ¢ãƒ‡ãƒ«æ¤œæŸ»ã«ã¤ã„ã¦èª¬æ˜Žã™ã‚‹. \section*{ãƒã‚°ãƒ¬ãƒãƒ¼ãƒˆ/æ案} システムã®ä¸å…·åˆã«é–¢ã™ã‚‹å ±å‘Šã‚„, 改善æ案等ã«é–¢ã™ã‚‹ 連絡ã¯, é›»å­ãƒ¡ã‚¤ãƒ«ã§ \texttt{info@cafeobj.org} ã¾ã§é ‚ããŸã„. \newpage % 目次 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % \doparttoc \tableofcontents \newpage %\listoffigures %\newpage \pagenumbering{arabic} \mainmatter % 本文 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \include{part1} \include{part2} \include{part3} \include{part4} \include{part5} \include{appendix} \newpage % BIB %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \begin{center} \begin{thebibliography}{99}\itemsep=0pt \bibitem{chang-lee} Chang, C. and Lee. R.C., \textsl{Symbolic Logic and Mechanical Theorem Proving}, Academic Press, 1973 \bibitem{ha} Joseph Goguen and Grant Malcolm, ``A Hidden Agenda'', in \emph{Theoretical Computer Science}, Vol.245 No.1, 2000, pp.55--101 \bibitem{otter} William McCune, ``\textsc{Otter3.0} Reference Manual and Guide'', Technical Report ANL-94/6, Argonne National Laboratory, 1994, available at \texttt{http://www-unix.mcs.anl.gov/AR/otter/} \bibitem{cafeobj} A.T.Nakagawa, T. Sawada, and K. Futatsugi, ``\textsl{CafeOBJ Manual}'', avaiable at \texttt{ftp://ftp.sra.co.jp/lang/CafeOBJ/Manual/} \bibitem{CafeRep} R\u{a}zvan Diaconescu and Kokichi Futatsugi, \textsf{CafeOBJ} \emph{Report}. World Scientific, 1998 \end{thebibliography} \end{center} \end{document} cafeobj-1.5.4/doc/PigNose/proof.sty0000644000000000000000000002224312415124723015613 0ustar rootroot% proof.sty (Proof Figure Macros) % % version 3.0 (for both LaTeX 2.09 and LaTeX 2e) % Mar 6, 1997 % Copyright (C) 1990 -- 1997, Makoto Tatsuta (tatsuta@kusm.kyoto-u.ac.jp) % % This program is free software; you can redistribute it or modify % it under the terms of the GNU General Public License as published by % the Free Software Foundation; either versions 1, or (at your option) % any later version. % % This program is distributed in the hope that it will be useful % but WITHOUT ANY WARRANTY; without even the implied warranty of % MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. 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D7Ž¢³ˆ/¼X¦y½ºš_è_*`ßüÛöK³¥ O˜mOØÇ\¯s-RáRy€¦ endstream endobj 167 0 obj <]/Size 168/W[1 3 2]/Filter/FlateDecode/Length 403>> stream xÚ-ÓÉN”a…á*DhhÆfP‘QAD”™šn‘FEePéfU@™vÜ‚ X³v' 7@ÂŽxÞú¿©Í“““ÊWÉ—”ˆÈÅE„ˆ[Fp_à2nãWük¸ƒ¢úûD„¬—0/cF£ c0݇!œÀ)\Ç]ŒÇMÜS‘DÛž€/1“0=˜‚©˜†éx30³p¯â5¼®âÚ²Ù8 ’¶æ¾Â9\À•—ÍäâÌS)Z²>ßbâM¼¥RöÇ&‹ð –b5>ĬÅb¬ÃGøŸá=¼·± Ëñ6c=6àlÄÇØ„X‰UX‚w±ýح؆íØØ…}èÅç؃½èÃ÷À öã ¾Ã×8„£*u!ûÉ1•v·å*AËUº=–?©x-«ôø-‡q§qçqQÅ·ÿÿ:ÄßâøëØä8g/|Æ%•àO§_=¶~¿¨¬å:÷åþeý7\UËpúñsë7ð»j¨ÊéάßR=,áBÃŽ§™"ÿþLDo endstream endobj startxref 119321 %%EOF cafeobj-1.5.4/doc/RefCard/syntax.tex0000644000000000000000000004610212475177216015752 0ustar rootroot% -*- Mode:LaTeX -*- % CafeOBJ 1.4.0 syntax reference card. % comment out the following 2 lines if you use old latex209 % \documentclass[a4paper]{article} \documentclass[a4paper]{article} \usepackage[scale=0.76]{geometry} % \usepackage[dvipdfm]{hyperref} \usepackage{hyperref} %%%% box \usepackage{fancybox} \newenvironment{fminipage}% {\begin{Sbox}\begin{minipage}}% {\end{minipage}\end{Sbox}\fbox{\TheSbox}} \newcommand{\vsep}{\vskip\fboxsep} \newcommand{\nvsep}{\vskip\fboxsep\noindent} %%%%% xlatex specific \usepackage{fontspec,xltxtra,xunicode} \defaultfontfeatures{Mapping=tex-text} \setromanfont[Mapping=tex-text]{Times New Roman} \setsansfont[Scale=MatchLowercase,Mapping=tex-text]{Gill Sans} \setmonofont[Scale=MatchLowercase]{Andale Mono} %** begin header \makeatletter \def\cafeobj{\textsf{CafeOBJ}} % kbd - argument is characters typed literally. \def\kbd#1{{\texttt{#1}\null}} % beginexample...endexample - surrounds literal text, such a code example. % typeset in a typewriter font with line breaks preserved. \def\example{\leavevmode\begingroup \obeylines\obeyspaces\parskip0pt\texttt} {\obeyspaces\global\let =\ } \def\endexample{\endgroup} % terminal - used for terminal symbols, argument is characters appear in sf. \def\sym#1{\textsf{#1}\null} % nonterm - used for non terminal symbols, argument is characters typed with % italic face. \def\nonterm#1{\textit{#1}\null} % syntax ... endsyntax \def\xstrut{\relax\ifmmode\copy\strutbox\else\unhcopy\strutbox\fi} \def\syntax{\syntaxoutnonbox\halign\bgroup \xstrut$\@lign##$\hfil &\hfil$\@lign{}##{}$\hfil &$\@lign##$\hfil &\qquad\@lign-- ##\hfil\cr} \def\endsyntax{\crcr\egroup$$ \global\@ignoretrue } \def\syntaxoutnonbox{\xleavevmode$$ \parskip=0pt\lineskip=0pt \def\\{\crcr}% Must have \def and not \let for nested alignments. \everycr={\noalign{\penalty10000}} \tabskip=0pt} \def\xleavevmode{\ifvmode\if@inlabel\indent\else\if@noskipsec\indent\else \if@nobreak\global\@nobreakfalse\everypar={}\fi {\parskip=0pt\noindent}\fi\fi\fi} \def\@but{\noalign{\nointerlineskip}} \def\alt{{\;|\;}} \def\seqof#1{\mbox{\textbf{\{}}\;{#1}\;\mbox{\textbf{\}}}} \def\optn#1{\textbf{[}\;{#1}\;\textbf{]}} \def\synindent{\;\;\;} \makeatother %** end of header \title{\cafeobj\ Syntax Quick Reference \\ {\small for Interpreter version 1.4.8 or later}} \date{\today} %\author{} \author{Toshimi Sawada\thanks{\texttt{sawada@cafeobj.org}} \\ Kosakusha Inc. } \begin{document} \maketitle \tableofcontents % \setlength{\parindent}{0pt} \setlength{\parskip}{1.4ex} \section{Syntax} \label{sec:cafeobj-syntax} We use an extended BNF grammar to define the syntax. The general form of a production is \begin{syntax} \synindent\synindent nonterminal &::=& alternative \alt alternative \alt \cdots \alt alternative \end{syntax} The following extensions are used: \begin{center} \begin{fminipage}{0.7\textwidth} \begin{tabular}{ll} a $\cdots$ & a list of one or more \textit{a}s. \\ a, $\cdots$ & a list of one or more \textit{a}s separated by commas: \\ & ``a'' or ``a, a'' or ``a, a, a'', etc. \\ $\seqof{\textrm{a}}$ & \textbf{\{} and \textbf{\}} are meta-syntactical brackets \\ & treating \textit{a} as one syntactic category. \\ $\optn{\textrm{a}}$ & an optional \textit{a}: `` '' or ``a''. \end{tabular} \end{fminipage} \end{center} Nonterminal symbols appear in \textit{italic face}. Terminal symbols appear in the face like this: ``\sym{terminal}'', and may be surrounded by `` and '' for emphasis or to avoid confusion with meta characters used in the extended BNF. We will refer terminal symbols other than self-terminating characters (see section ~\ref{sec:selfterminating}) as \textit{keyword}s in this document. %\subsection{CafeOBJ program} \subsection{CafeOBJ Spec} \label{sec:cafeobjprogram} \begin{syntax} \synindent\synindent spec &::=& \seqof{module \alt view \alt eval} \cdots \end{syntax} A \cafeobj\ spec is a sequence of \nonterm{module} (module declaration -- section ~\ref{sec:module-decl}), \nonterm{view} (view declaration -- section ~\ref{sec:view-decl}) or \nonterm{eval} (\textit{reduce} or \textit{execute} term -- section ~\ref{sec:eval}). \subsection{Module Declaration} \label{sec:module-decl} \begin{syntax} module &::=& module\_type\; module\_name \; \optn{parameters} \; \optn{principal\_sort} \\ && \sym{``\{''}\; module\_elt\cdots \; \sym{``\}''} \\ \synindent module\_type &::=& \sym{module} \alt \sym{module!} \alt \sym{module*}\\ \synindent module\_name &::=& ident & \footnote{The nonterminal \textit{ident} is for identifiers and will be defined in the section ~\ref{sec:identifier}.} \\ parameters &::=& \sym{``(''}\; parameter, \cdots \sym{``)''}\\ \synindent parameter &::=& \optn{\sym{protecting}\alt\sym{extending}\alt\sym{including}}\; paramter\_name \; \sym{::}\; module\_expr &\footnote{\textit{module\_expr} is defined in the section ~\ref{sec:modexpr}.}\footnote{If optional $\optn{\sym{protecting}\alt\sym{extending}\alt\sym{including}}$ is omitted, it is defaulted to \sym{protecting}.} \\ \synindent parameter\_name &::=& ident \\ principal\_sort &::=& \sym{principal-sort}\; sort\_name \\ % module\_elt &::=& import \alt sort \alt record \alt operator \alt module\_elt &::=& import \alt sort \alt operator \alt variable \alt axiom \alt macro \alt comment &\footnote{\nonterm{comment} is descussed in section ~\ref{sec:comments}.}\\ import &::=& \seqof{\sym{protecting}\alt\sym{extending}\alt\sym{including}\alt\sym{using}} \sym{``(''}\;module\_expr\;\sym{``)''}\\ sort & ::= & visible\_sort \alt hidden\_sort \\ \synindent visible\_sort & ::=& \sym{``[''}\; sort\_decl, \cdots \; \sym{``]''} \\ \synindent hidden\_sort & ::=& \sym{``*[''}\; sort\_decl, \cdots \; \sym{``]*''} \\ \synindent sort\_decl &::=& sort\_name\; \cdots\; \optn{supersorts\; \cdots} \\ \synindent supersorts &::=& <\; sort\_name\; \cdots \\ \synindent sort\_name &::=& sort\_symbol\optn{qualifier} &\footnote{There must not be any separators (see section ~\ref{sec:lex}) between \nonterm{ident} and \nonterm{qualifier}.} \\ \synindent sort\_symbol &::=& ident \\ \synindent qualifier &::=& \sym{``.''}module\_name\\ % record &::=& \sym{record}\; sort\_name\; \optn{super\;\cdots}\; % \sym{``\{''}\; \seqof{slot \alt comment}\cdots \; \sym{``\}''} \\ % \synindent super &::=& % \sym{``[''}\;sort\_name\;\optn{\sym{``(''}\; slot\_rename,\cdots % \sym{``)''}}\;\sym{``]''} \\ % \synindent slot &::=& slot\_name : sort\_name \alt % slot\_name\;\sym{=}\;\sym{``(''}term\sym{``)''}\;:\; sort\_name \\ % \synindent slot\_name &::=& ident \\ % \synindent slot\_rename &::=& slot\_name\; \verb|->|\; slot\_name\\ operator &::=& \seqof{\sym{op}\alt\sym{bop}} \; operator\_symbol\; : \; \optn{arity}\; \verb|->|\; coarity \; \optn{op\_attrs} &\footnote{\nonterm{operator\_symbol} is defined in section ~\ref{sec:opsymbol}.}\\ \synindent arity &::=& sort\_name \cdots \\ \synindent coarity &::=& sort\_name \\ \synindent op\_attrs &::=& \sym{``\{''}\;op\_attr\cdots\;\sym{``\}''} \\ \synindent op\_attr &::=& \sym{constr} \alt \sym{associative} \alt \sym{commutative} \alt\sym{idempotent} \alt \seqof{\sym{id:} \alt \sym{idr:}} \sym{``(''} \; term\; \sym{``)''} %&\footnote{The general syntax of \nonterm{term} is defined in section % ~\ref{sec:term}.} \\ &\alt & \sym{strat: ``(''}\; natural \cdots\; \sym{``)''} \alt\sym{prec:}\; natural \alt \sym{l-assoc} \alt \sym{r-assoc} \alt \sym{coherent} \alt \sym{demod} &\footnote{\nonterm{natural} is a natural number written in ordinal arabic notation.} \\ variable &::=& \sym{var}\; var\_name\; :\; sort\_name \alt \sym{vars} \; var\_name\cdots\; :\; sort\_name \\ \synindent var\_name &::=& ident \\ axiom &::=& equation \alt cequation\alt transition \alt ctransition \alt fol\\ \synindent equation &::=& \seqof{\sym{eq} \alt \sym{beq}}\; \optn{label}\; term \; \sym{=} \; term\; \sym{``.''}\\ \synindent cequation &::=& \seqof{\sym{ceq} \alt \sym{bceq}}\; \optn{label}\; term \; \sym{=} \; term\; \sym{if}\; term\;\sym{``.''} \\ \synindent transition &::=& \seqof{\sym{trans} \alt \sym{btrans}}\; \optn{label}\; term \; \verb|=>| \; term \;\sym{``.''}\\ \synindent ctransition &::=& \seqof{\sym{ctrans} \alt \sym{bctrans}}\; \optn{label}\; term \; \verb|=>| \; term\; \sym{if}\; term\;\sym{``.''}\\ \synindent fol & ::= & \sym{ax} \optn{label}\; term \; \sym{``.''}\\ \synindent label &::=& \sym{``[''}\; ident\cdots\; \sym{``]:''}\\ macro &::=& \sym{\#define}\; term\; \sym{::=}\; term\; \sym{``.''} \end{syntax} \subsection{Module Expression} \label{sec:modexpr} \begin{syntax} module\_expr &::=& module\_name \alt sum \alt rename \alt instantiation \alt \sym{``(''} module\_expr \sym{``)''} \\ sum &::=& module\_expr\; \seqof{+\;\; module\_expr} \cdots \\ rename &::=& module\_expr\;\sym{*}\;\sym{``\{''} rename\_map,\cdots \sym{``\}''} \\ % instantiation &::=& module\_expr\;\sym{``(''} % \seqof{ident \optn{qualifier}\;\verb|<=|\;aview},\cdots % \sym{``)''} instantiation &::=& module\_expr\;\sym{``(''}\textbf{\{}\;ident [ qualifier ]\; \verb|<=|\; aview\textbf{\}},\;\cdots\;\sym{``)''} \\ rename\_map &::=& sort\_map \alt op\_map \\ sort\_map &::=& \seqof{\sym{sort} \alt \sym{hsort}}\; sort\_name \; \verb|->|\; ident \\ op\_map &::=& \seqof{\sym{op} \alt \sym{bop}}\; op\_name\;\verb|->|\;operaotr\_symbol \\ op\_name &::=& operator\_symbol\alt \sym{``(''}operator\_symbol\sym{``)''}qualifier\\ aview &::=& view\_name\alt module\_expr\\ & \alt & \sym{view to}\; module\_expr\;\sym{``\{''} view\_elt,\cdots \sym{``\}''} \\ view\_name &::=& ident \\ view\_elt &::=& sort\_map \alt op\_view \alt variable \\ op\_view &::=& op\_map \alt term\; \verb|->|\; term \end{syntax} When a module expression is not fully parenthesized, the proper nesting of subexpressions may be ambiguous. The following precedence rule is used to resolve such ambiguity: \[ \nonterm{sum} < \nonterm{rename} < \nonterm{instantiation} \] \subsection{View Declaration} \label{sec:view-decl} \begin{syntax} view &::=& \sym{view}\; view\_name\; \sym{from}\; module\_expr\; \sym{to} \; module\_expr \\ && \sym{``\{''}\; view\_elt, \cdots \; \sym{``\}''} \\ \end{syntax} %\subsection{Term} %\label{sec:term} \subsection{Evaluation} \label{sec:eval} \begin{syntax} eval & ::= & \seqof{\sym{reduce}\alt\sym{behavioural-reduce} \alt\sym{execute}}\; context\; term\; \sym{``.''} \\ context & ::=& \sym{in}\; module\_expr\;\sym{:} \end{syntax} The interpreter has a notion of \textit{current module} which is specified by a \nonterm{module\_expr} and establishes a context. If it is set, \nonterm{context} can be omitted. \subsection{Sugars and Abbriviations} \label{sec:sugar} \paragraph{Module type} There are following abbreviations for \nonterm{module\_type}. \begin{center} \begin{tabular}{ll}\hline Keyword & Abbriviation \\\hline \sym{module} & \sym{mod}\\ \sym{module!} & \sym{mod!} \\ \sym{module*} & \sym{mod*}\\\hline \end{tabular} \end{center} \paragraph{Module Declaration} \begin{syntax} make &::=& \sym{make}\;module\_name\;\sym{``(''}\; module\_expr\;\sym{``)''} \end{syntax} \nonterm{make} is a short hand for declaring module of name \nonterm{module\_name} which imports \nonterm{module\_expr} with protecting mode. \begin{example} make FOO (BAR * \{sort Bar -> Foo\}) \end{example} is equivalent to \begin{example} module FOO \{ protecting (BAR * \{sort Bar -> Foo\}) \} \end{example} \paragraph{Principal Sort} \sym{principal-sort} can be abbriviated to \sym{psort}. \paragraph{Import Mode} For import modes, the following abbriviations can be used: \begin{center} \begin{tabular}{ll}\hline Keyword & Abbriviation \\\hline \sym{protecting} & \sym{pr} \\ \sym{extending} & \sym{ex} \\ \sym{including} & \sym{inc} \\ \sym{using} & \sym{us} \\\hline \end{tabular} \end{center} \paragraph{Simultaneous Operator Declaration} Several operators with the same arity, coarity and operator attributes can be declared at once by \sym{ops}. The form \begin{syntax} \sym{ops}\; operator\_symbol_1 \cdots operator\_symbol_n\; :\; arity\; \verb|->|\; coarity\; op\_attrs \end{syntax} is just equivalent to the following multiple operator declarations: \begin{syntax} \sym{op}\; & operator\_symbol_1\;:\;arity\;\verb|->|\;coarity\;op\_attrs \\ &\vdots\\ \sym{op}\; & operator\_symbol_n\;:\;arity\;\verb|->|\;coarity\;op\_attrs \end{syntax} \sym{bops} is the counterpart of \sym{ops} for behavioural operators. \begin{syntax} \sym{bops}\; operator\_symbol\;\cdots\; : \; arity\;\verb|->|\; coarity \; op\_attrs \end{syntax} In simultaneous declarations, parentheses are sometimes necessary to separate operator symbols. This is always required if an operator symbol contains dots, blank characters or underscores. \paragraph{Predicate} Predicate declaration (\nonterm{predicate}) is a syntactic sugar for declaring \sym{Bool} valued operators, and has the syntax: \begin{syntax} predicate &::=& \sym{pred}\;operator\_symbol\;:\;arity\;\optn{op\_attrs} &\footnote{You cannot use \nonterm{sort\_name} of the same character sequence as that of any keywords, i.e., \sym{module}, \sym{op}, \sym{vars}, etc. in \nonterm{arity}.} \end{syntax} The form \begin{syntax} \sym{pred}\;operator\_symbol\;:\;arity\;op\_attrs \end{syntax} is equivalent to: \begin{syntax} \sym{op}\;operator\_symbol\;:\;arity\;\verb|->|\; \sym{Bool} \;op\_attrs \end{syntax} \paragraph{Operator Attributes} The following abbriviations are available: \begin{center} \begin{tabular}{ll}\hline Keyword & Abbriviation \\\hline \sym{associative} & \sym{assoc} \\ \sym{commutative} & \sym{comm} \\ \sym{idempotent} & \sym{idem} \\\hline \end{tabular} \end{center} \paragraph{Axioms} For the keywords introducing axioms, the following abbriviations can be used: \begin{center} \begin{tabular}{ll|ll}\hline Keyword & Abbriviation & Keyword & Abbriviation \\\hline \sym{ceq} & \sym{cq} & \sym{bceq} & \sym{bcq} \\ \sym{trans} & \sym{trns} & \sym{ctrans} & \sym{ctrns} \\ \sym{btrans} & \sym{btrns} & \sym{bctrans} & \sym{bctrns} \\\hline \end{tabular} \end{center} \paragraph{Blocks of Declarations} References to (importations of) other modules, signature definitions and axioms can be clusterd in blocked declarations: \begin{syntax} imports &::=& \sym{imports}\;\sym{``\{''}\\ &&\synindent\seqof{import \alt comment}\cdots\\ &&\sym{``\}''}\\ signature &::=& \sym{signature}\;\sym{``\{''}\\ &&\synindent\seqof{sort \alt record \alt operator \alt comment}\cdots\\ &&\sym{``\}''}\\ axioms &::=& \sym{axioms}\;\sym{``\{''}\\ &&\synindent\seqof{variable \alt axiom\alt comment}\cdots\\ &&\sym{``\}''} \end{syntax} \paragraph{Views} To reduce the complexity of views appearing in module instantiation, some sugars are provided. First, it is possible to identify parameters by positions, not by names. For example, if a parameterized module is declared like \begin{example} \sym{module!} FOO (A1 :: TH1, A2 :: TH2) \sym{\{} ... \sym{\}} \end{example} the form \begin{example} FOO(V1, V2) \end{example} is equivalent to \begin{example} FOO(A1 <= V1, A2 <= V2) \end{example} Secondly, \sym{view to} construct in arguments of module instantiations can always be omitted. That is, \begin{example} FOO(A1 <= \sym{view to} \nonterm{module\_expr}\{...\}) \end{example} can be written as \begin{example} FOO(A1 <= \nonterm{module\_expr}\{...\}) \end{example} \paragraph{Evaluation} \begin{center} \begin{tabular}{ll}\hline Keyword & Abbriviation \\\hline \sym{reduce} & \sym{red} \\ \sym{bereduce} & \sym{bred} \\ \sym{execute} & \sym{exec} \\\hline \end{tabular} \end{center} \section{Lexical Considerations} \label{sec:lex} A \cafeobj\ spec is written as a sequence of tokens and separators. A \textit{token} is a sequence of ``printing'' ASCII characters (octal 40 through 176).\footnote{The current interpreter accepts Unicode characters also, but this is beyond the definition of CafeOBJ language.} A \textit{separator} is a ``blank'' character (space, vertical tab, horizontal tab, carriage return, newline, form feed). In general, any mumber of separators may appear between tokens. \subsection{Reserved Word} \label{sec:keywords} There are \textit{no\/} reserved word in \cafeobj. One can use keywords such as \sym{module}, \sym{op}, \sym{var}, or \sym{signature}, etc. for identifiers or operator symbols. \subsection{Self-terminating Characters} \label{sec:selfterminating} The following eight characters are always treated as \textit{self-terminating}, i.e., the character itself construct a token. \begin{center} \begin{tabular}{llllllll} \sym{(} & \sym{)} & \sym{,} & \sym{[} & \sym{]} & \sym{\{} & \sym{\}} & \sym{;} \end{tabular} \end{center} \subsection{Identifier} \label{sec:identifier} Nonterminal \nonterm{ident} is for \emph{identifier} which is a sequnce of any printing ASCII characters except the followings: \begin{center} \begin{tabular}{l} self-terminating characters (see section ~\ref{sec:selfterminating})\\ \sym{.} (dot)\\ \sym{"} (double quote)\\ \end{tabular} \end{center} Upper- and lowercase are distinguished in identifiers. \nonterm{ident}s are used for module names (\nonterm{module\_name}), view names (\nonterm{view\_name}), parameter names (\nonterm{parameter\_name}), sort symbols (\nonterm{sort\_symbol}), variables(\nonterm{var\_name}), slot names (\nonterm{slot\_name}) and labels (\nonterm{label}). \subsection{Operator Symbol} \label{sec:opsymbol} The nonterminal \nonterm{operator\_symbol} is used for naming operators (\nonterm{operator}) and is a sequence of any ASCII characters (self-terminating characters or non-printing characters can be an element of operator names.)\footnote{The current implementation does not allow EOT character (control-D) to be an element of operator symbol. } Underscores are specially treated when they apper as a part of operator names; they reserve the places where arguments of the operator are inserted. Thus the single underscore cannot be a name of an operator. \subsection{Comments and Separators} \label{sec:comments} A \nonterm{comment} is a sequence of characters that begins with one of the following four character sequences \begin{center} \begin{tabular}{ll} \verb|--| & \verb|-->|\\ \verb|**| & \verb|**>| \\ \end{tabular} \end{center} which ends with a newline character, and contains only printing ASCII characters and horizontal tabs in between. A \nonterm{separator} is a blank character (space, vertical tab, horizontal tab, carriage return, newline, from feed). One or more separators must appear between any two adjuacent non-self-terminating tokens.\footnote{The same rule is applied to \nonterm{term}. Further, if an \nonterm{operator\_symbol} contains blanks or self-terminating characters, it is sometimes neccessary to enclose a term with such operator as top by parentheses for disambiguation.} Comments also act as separators, but their apperance is limited to some specific places (see section ~\ref{sec:cafeobj-syntax}). \end{document} % Local variables: % compile-command: "latex qref" % TeX-master: t % End: cafeobj-1.5.4/doc/etc/0000755000000000000000000000000012415124723013131 5ustar rootrootcafeobj-1.5.4/doc/etc/cafe-citp.txt0000644000000000000000000001000212415124723015516 0ustar rootroot;;; ;;; CafeOBJ CITP like prover ============================================= ;;; Here is a brief memo about new commands introduced for CITP like prover for CafeOBJ. Descriptions are given merged with with the output of '(help me.)' of Maude CITP. Please note that syntax of commands are not fixed, they might be changed reflecting feed backs. ** Maude CITP: (goal ModuleName |- Equations/Rules/Memberships) In CafeOBJ we firstly set a context module by 'select .' or 'open .', then do :goal { . ... .} ** Maude CITP: (set ind on Vars .) -- specify the variables for induction :ind on ( ... ) ex. :set ind on (Var1:Sort-1 Var2:Sort2) ** Maude CITP: (init LEMMA by V <- c .) -- initialize a lemma by substitution. 'LEMMA' means label of an axiom or axiom form. 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a file name \newcommand*{\ixfile}[1]{% % index a file name \index{#1 file?\file{#1} (file)}% \index{file!#1?\file{#1}}} \newcommand*{\pixfile}[1]{\file{#1}\ixfile{#1}} % print & index a file name % print and index a length \newcommand*{\lnc}[1]{\cmdprint{#1}% \index{\expandafter\@gobble\string#1len?\string\cmdprint{\string#1} (length)}% \index{length!\expandafter\@gobble\string#1len?\string\cmdprint{\string#1}}} \newcommand*{\posarg}[1]{\textsf{#1}} % print positioning argument % index a positioning argument \newcommand*{\ixposarg}[1]{% \index{#1 (position argument)?\posarg{#1} (position argument)}} % print and index a positioning argument \newcommand*{\pixposarg}[1]{\posarg{#1}\ixposarg{#1}} % print and index a counter representation \newcommand*{\pcrep}[1]{\texttt{#1}} \newcommand*{\ixcrep}[1]{\index{#1 tt?\pcrep{#1}}% \index{counter representation!#1 tt?\pcrep{#1}}} \newcommand*{\Icrep}[1]{\texttt{#1}\index{#1 tt?\texttt{#1}}}% % counter representation \renewcommand*{\Icrep}[1]{\pcrep{#1}\ixcrep{#1}}% % print & index counter rep \newcommand*{\pixcrep}[1]{\pcrep{#1}\ixcrep{#1}} % print & index counter rep %%%%%% for FontSite fonts \newcommand*{\FSfont}[1]{% \fontfamily{#1}\selectfont} %%%%% for `standard' LaTeX fonts \newcommand*{\LXfont}[1]{% \fontfamily{#1}\selectfont} \newcommand*{\boxminipage}{% \@ifnextchar [%] \@ibxminipage {\@iiibxminipage c\relax[s]}} \def\@ibxminipage[#1]{% \@ifnextchar [%] {\@iibxminipage{#1}}% {\@iiibxminipage{#1}\relax[s]}} \def\@iibxminipage#1[#2]{% \@ifnextchar [%] {\@iiibxminipage{#1}{#2}}% {\@iiibxminipage{#1}{#2}[#1]}} \let\@bxminto\@empty \def\@iiibxminipage#1#2[#3]#4{% \ifx\relax#2\else \setlength\@tempdimb{#2}% \def\@bxminto{to\@tempdimb}% \fi \leavevmode \@pboxswfalse \if #1b\vbox \else \if #1t\vtop \else \ifmmode \vcenter \else \@pboxswtrue $\vcenter \fi \fi \fi % \@bxminto \bgroup% outermost vbox \hsize #4 \hrule\@height\fboxrule \hbox\bgroup% inner hbox \vrule\@width\fboxrule \hskip\fboxsep \vbox \@bxminto \bgroup% innermost vbox \vskip\fboxsep \advance\hsize -2\fboxrule \advance\hsize -2\fboxsep \textwidth\hsize \columnwidth\hsize \@parboxrestore \def\@mpfn{mpfootnote}\def\thempfn{\thempfootnote}\c@mpfootnote\z@ \let\@footnotetext\@mpfootnotetext \let\@listdepth\@mplistdepth \@mplistdepth\z@ \@minipagerestore\@minipagetrue \everypar{\global\@minipagefalse\everypar{}}} \def\endboxminipage{% \par\vskip-\lastskip \ifvoid\@mpfootins\else \vskip\skip\@mpfootins\footnoterule\unvbox\@mpfootins\fi \vskip\fboxsep \egroup% end innermost vbox \hskip\fboxsep \vrule\@width\fboxrule \egroup% end hbox \hrule\@height\fboxrule \egroup% end outermost vbox \if@pboxsw $\fi} \newlength{\tpheight}\setlength{\tpheight}{0.9\textheight} \newlength{\txtheight}\setlength{\txtheight}{0.9\tpheight} \newlength{\tpwidth}\setlength{\tpwidth}{0.9\textwidth} \newlength{\txtwidth}\setlength{\txtwidth}{0.9\tpwidth} \newlength{\tdrop} % (already defined) \newenvironment{showtitle}{% \begin{boxminipage}[c][\tpheight]{\tpwidth} \centering\begin{vplace}\begin{minipage}[c][\txtheight]{\txtwidth}}% {\end{minipage}\end{vplace}\end{boxminipage}} %%%%%%%%% section head designs \newcommand*{\defaultsecheads}{ \setsecheadstyle{\normalfont\Large\bfseries\raggedright} \setsecindent{0pt} \setbeforesecskip{-3.5ex plus -1ex minus -.2ex} \setaftersecskip{2.3ex plus .2ex} \setsubsecheadstyle{\normalfont\large\bfseries\raggedright} \setsubsecindent{0pt} \setbeforesubsecskip{-3.25ex plus -1ex minus -.2ex} \setaftersubsecskip{1.5ex plus .2ex} \setsubsubsecheadstyle{\normalfont\bfseries\raggedright} \setsubsubsecindent{0pt} \setbeforesubsubsecskip{-3.25ex plus -1ex minus -.2ex} \setaftersubsubsecskip{1.5ex plus .2ex} \setparaheadstyle{\normalfont\bfseries} \setparaindent{0pt} \setbeforeparaskip{3.25ex plus 1ex minus .2ex} \setafterparaskip{-1em} \setsubparaheadstyle{\normalfont\bfseries} \setsubparaindent{0pt} \setbeforesubparaskip{3.25ex plus 1ex minus .2ex} \setaftersubparaskip{-1em} } %%%%%%%%%%%%%% Manual layout and design elements \newcommand*{\memmansecheads}{ \setsecheadstyle{\normalfont\scshape\raggedright} \setsecindent{0pt} \setbeforesecskip{-1.333\onelineskip plus -0.5\onelineskip minus -0.5\onelineskip} \setaftersecskip{.667\onelineskip plus 0.1\onelineskip} %%% surround = 2 lines (1.333/.667) %%% surround = 1 line (.667/.333) \setsubsecheadstyle{\normalfont\sffamily\raggedright} \setsubsecindent{0pt} \setbeforesubsecskip{-.667\onelineskip plus -0.5\onelineskip minus -0.5\onelineskip} \setaftersubsecskip{0.333\onelineskip plus 0.1\onelineskip} %%% surround = 1 line (.667/.333) \setsubsubsecheadstyle{\normalfont\itshape\raggedright} \setsubsubsecindent{0pt} \setbeforesubsubsecskip{-0.667\onelineskip plus -0.25\onelineskip minus -0.25\onelineskip} \setaftersubsubsecskip{0.333\onelineskip plus 0.1\onelineskip} %%% no surround \setparaheadstyle{\normalfont\sffamily} \setparaindent{0pt} \setbeforeparaskip{1.0\onelineskip plus 0.5\onelineskip minus 0.25\onelineskip} \setafterparaskip{-1em} \setsubparaheadstyle{\normalfont\sffamily} \setsubparaindent{0pt} \setbeforesubparaskip{1.0\onelineskip plus 0.5\onelineskip minus 0.25\onelineskip} \setaftersubparaskip{-1em} } %%%%%% hypermarks in index % from email from Lars Madsen \providecommand{\doidxbookmark}[1]{{\def\@tempa{Symbols}\def\@tempb{#1}% \centering\bfseries \ifx\@tempa\@tempb @ \else #1\fi\vskip\onelineskip\par}} % extended to add booksmarks for each letter group. \renewcommand{\doidxbookmark}[1]{{\def\@tempa{Symbols}\def\@tempb{#1}% \centering\bfseries \ifx\@tempa\@tempb % % Analphabetics Keywords/Commands \phantomsection% \pdfbookmark[0]{Keywords/Commands}{Analphabetics-idx}% % \label{AnalphabeticsAnalphabeticsAnalphabetics-idx}% \else #1% \phantomsection% \pdfbookmark[0]{#1}{#1-idx}% % \label{#1#1#1-idx}% \fi% \vskip\onelineskip\par}} \providecommand{\hyperpage}[1]{#1} %%% need more space for ToC page numbers \setpnumwidth{2.55em} \setrmarg{3.55em} %%% need more space for ToC section numbers \cftsetindents{section}{1.5em}{3.0em} \cftsetindents{subsection}{4.5em}{3.9em} \cftsetindents{subsubsection}{8.4em}{4.8em} \cftsetindents{paragraph}{10.7em}{5.7em} \cftsetindents{subparagraph}{12.7em}{6.7em} %%% and for LoF and LoT numbers \cftsetindents{figure}{0em}{3.0em} \cftsetindents{table}{0em}{3.0em} %%% set up the page layout \settrimmedsize{11in}{210mm}{*} \setlength{\trimtop}{0pt} \setlength{\trimedge}{\stockwidth} \addtolength{\trimedge}{-\paperwidth} \settypeblocksize{7.75in}{33pc}{*} \setulmargins{4cm}{*}{*} \setlrmargins{1.25in}{*}{*} \setmarginnotes{17pt}{51pt}{\onelineskip} \setheadfoot{\onelineskip}{2\onelineskip} \setheaderspaces{*}{2\onelineskip}{*} \checkandfixthelayout %%% empty pagestyle for Part pages \aliaspagestyle{part}{empty} \bibliographystyle{alpha} %%% subfigures and tables \newsubfloat{figure} \newsubfloat{table} \setcounter{lofdepth}{2} %%% Set oldstylenums (which here are taken from CMR, not Palatino) \DeclareRobustCommand{\Moldstyle}[1]{{\Large\oldstylenums{#1}}} %%%%% Pavlic `fix' for index \let\original@wrindexm@m\@wrindexm@m \def\@wrindexm@m{\catcode`\ =10 \original@wrindexm@m} % for letter group bookmarks for glossary items \newcommand\doglobookmark[1]{% \def\@tempa{Symbols}\def\@tempb{#1}% \ifx\@tempa\@tempb % \phantomsection\pdfbookmark[0]{Kyewords/Commands}{Analphabetics-glo}% \else% \phantomsection\pdfbookmark[0]{#1}{#1-glo}% \fi% } \makeatletter %%%%% CafeOBJ code \newcommand{\@zeroseps}{\setlength{\topsep}{\z@}% \setlength{\partopsep}{\z@}% \setlength{\parskip}{\z@}} \newlength{\gparindent} \setlength{\gparindent}{\parindent} \setlength{\gparindent}{0.5\parindent} % Now, the environment itself \newenvironment{ccode}{\@zeroseps \renewcommand{\verbatim@startline}{% \verbatim@line{\hskip\gparindent}} \small\setlength{\baselineskip}{\onelineskip}\verbatim}% {\endverbatim \vspace{-\baselineskip}% \noindent } %%%% CafeOBJ \def\cafeobj{\textsf{CafeOBJ}} %%%%% kbd - argument is characters typed literally. \def\kbd#1{{\texttt{#1}\null}} %%%%% beginexample...endexample - surrounds literal text, such a code example. % typeset in a typewriter font with line breaks preserved. \def\example{\leavevmode\begingroup \obeylines\obeyspaces\parskip0pt\small\texttt} {\obeyspaces\global\let =\ } \def\endexample{\endgroup} % \newenvironment{example}% % {\begin{framed}\begin{ccode}} % {\end{ccode}\end{framed}\noindent} %%%% terminal - used for terminal symbols, argument is characters appear in sf. \def\sym#1{\textsf{#1}\null} %%%% nonterm - used for non terminal symbols, argument is characters typed with % italic face. \def\nonterm#1{\textit{#1}\null} %%%% syntax ... endsyntax \def\xstrut{\relax\ifmmode\copy\strutbox\else\unhcopy\strutbox\fi} \def\syntax{\syntaxoutnonbox\halign\bgroup \xstrut$\@lign##$\hfil &\hfil$\@lign{}##{}$\hfil &$\@lign##$\hfil &\qquad\@lign-- ##\hfil\cr} \def\endsyntax{\crcr\egroup$$ \global\@ignoretrue } \def\syntaxoutnonbox{\xleavevmode$$ \parskip=0pt\lineskip=0pt \def\\{\crcr}% Must have \def and not \let for nested alignments. \everycr={\noalign{\penalty10000}} \tabskip=0pt} \def\xleavevmode{\ifvmode\if@inlabel\indent\else\if@noskipsec\indent\else \if@nobreak\global\@nobreakfalse\everypar={}\fi {\parskip=0pt\noindent}\fi\fi\fi} \def\@but{\noalign{\nointerlineskip}} \def\alt{{\;|\;}} \def\seqof#1{\mbox{\textbf{\{}}\;{#1}\;\mbox{\textbf{\}}}} \def\optn#1{\textbf{[}\;{#1}\;\textbf{]}} \def\synindent{\;\;\;} %%%% line across the page \newcommand*{\Hline}{\mbox{}\hrulefill\mbox{}} %%%% Warning \newenvironment{warning}% {\begin{center}\small\textit{!!}~~~~~\begin{minipage}[c]{0.8\textwidth}\small}% {\end{minipage}\end{center}} %%%%% \definecolor{shadecolor}{gray}{0.9} \newenvironment{vvtm}% {\parskip=0pt\lineskip=0pt\begin{center}\begin{minipage}{0.94\textwidth}\begin{snugshade}\small}% {\end{snugshade}\end{minipage}\end{center}} \makeatother \typeout{End manual.sty} \endinput cafeobj-1.5.4/doc/manual/myreport.sty0000644000000000000000000003615612415124723016270 0ustar rootroot%% manual.sty For CafeOBJ manual \ProvidesPackage{manualsty}[2010/07/08 for manual] \usepackage[hscale=0.8,vscale=0.9]{geometry} \usepackage{url} \usepackage{xcolor} \usepackage{fancybox} %\usepackage[dvipdfm,colorlinks=true,linkcolor=blue]{hyperref} \usepackage[colorlinks=true,linkcolor=blue]{hyperref} %%%% syntax definition of body pages \newcounter{bsyntax} \newenvironment{bsyntax}% {\begin{Sbox}\begin{minipage}{0.98\textwidth}% {\textit{Syntax~\addtocounter{bsyntax}{1}\thebsyntax}\textit{:}}% \begingroup\parskip=0cm\parindent=0.5cm\lineskip=0pt% \obeylines\obeyspaces\textit}% {\endgroup\vskip\parskip\end{minipage}\end{Sbox}\fbox{\TheSbox}} %%% mini \newenvironment{fminipage}% {\begin{Sbox}\begin{minipage}}% {\end{minipage}\end{Sbox}\fbox{\TheSbox}} %%%%% \usepackage{graphicx} %%%%%%%%%%%%%%%%%% plainmarkruled pagestyle \makepagestyle{plainmarkruled} \makeheadrule{plainmarkruled}{\textwidth}{\normalrulethickness} \makeevenhead{plainmarkruled}{\scshape\leftmark}{}{} \makeoddhead{plainmarkruled}{}{}{\scshape\rightmark} \makeevenfoot{plainmarkruled}{\thepage}{}{} \makeoddfoot{plainmarkruled}{}{}{\thepage} \makepsmarks{plainmarkruled}{\@ruledmarks} %%%%%%%%%%%%%%%%%% index pagestyle \makepagestyle{index} \makeheadrule{index}{\textwidth}{\normalrulethickness} \makeevenhead{index}{\rightmark}{}{\leftmark} \makeoddhead{index}{\rightmark}{}{\leftmark} \makeevenfoot{index}{\thepage}{}{} \makeoddfoot{index}{}{}{\thepage} \makeindex %%%%%%%%%%%%%%%%%%%%%%% glossary \makeglossary \changeglossactual{?} \changeglossnum{\@currentlabel} \changeglossnum{\thepage} \changeglossnumformat{|hyperpage} \renewcommand*{\glossaryname}{Command summary} \renewcommand{\glossitem}[4]{% \sbox\@tempboxa{#1 \space #2 #3 \makebox[2em]{#4}}% \par\hangindent 2em \ifdim\wd\@tempboxa<0.8\linewidth #1 \space #2 #3 \dotfill \makebox[2em][r]{#4}\relax \else #1 \dotfill \makebox[2em][r]{#4}\\ #2 #3 \fi} \renewcommand*{\glossarymark}{\markboth{\glossaryname}{\glossaryname}} % % index marking \newcommand{\idxmark}[1]{#1\markboth{#1}{#1}} % %%%% index sup/sub and sub \indexsupsubmain{main}{sub} \newcommand*{\indexsupsubmain}[2]{\index{#1!#2}\index{#2}} % %%%% index pair of sup/sub items \newcommand*{\indextwo}[2]{\index{#1!#2}\index{#2!#1}} % %%% index pair of sup/sub/sub \newcommand*{\indexthree}[3]{\index{#1!#2!#3}\index{#2!#1!#3}} % %%% \typesubidx{sub} -> \index{type!sub} Index a type subitem \newcommand*{\typesubidx}[1]{\index{type!#1}} % %%% \seeonceidx{main}{sub} %% index main (see sub), and index sub \newcommand*{\seeonceidx}[2]{% \@ifundefined{s1#2s1}% {\global\@namedef{s1#2s1}{?!?}\index{#1!#2|see{#2}}\index{#2}}% {\index{#2}}} %%% \facesubseeidx{sub} %% index typeface (see sub), and index sub \newcommand*{\facesubseeidx}[1]{\seeonceidx{typeface}{#1}} \newcommand*{\Pfontfam}[1]{\texttt{#1}} % print name of a fontfamily \newcommand*{\pfontfam}[1]{\Pfontfam{#1}% \index{#1 fontfam?\Pfontfam{#1} (fontfamily)}% \index{fontfamily!#1?\Pfontfam{#1}}} % print/index fontfamily \newcommand*{\Ppstyle}[1]{\textsl{#1}} \newcommand*{\pstyle}[1]{\Ppstyle{#1}% \index{#1 pages?\Ppstyle{#1} (pagestyle)}% \index{pagestyle!#1?\Ppstyle{#1}}} % pagestyle \newcommand*{\Pcstyle}[1]{\textsl{#1}} \newcommand*{\cstyle}[1]{\Pcstyle{#1}% \index{#1 chaps?\Pcstyle{#1} (chapterstyle)}% \index{chapterstyle!#1?\Pcstyle{#1}}} % chapterstyle \newcommand*{\Phstyle}[1]{\textsl{#1}} \newcommand*{\hstyle}[1]{\Phstyle{#1}% \index{#1 heads?\Phstyle{#1} (headstyles)}% \index{headstyles!#1?\Phstyle{#1}}} % headstyles \newcommand*{\Pclass}[1]{\textsf{#1}} \newcommand*{\Lclass}[1]{\Pclass{#1}% \index{#1 class?\Pclass{#1} (class)}% \index{class!#1?\Pclass{#1}}} % class name \newcommand*{\Iclasssub}[2]{\index{#1 class?\Pclass{#1} (class)!#2}} \newcommand*{\Mname}{\Pclass{memoir}} % Print memoir \newcommand*{\Ppack}[1]{\textsf{#1}} \newcommand*{\Lpack}[1]{\Ppack{#1}% \index{#1 pack?\Ppack{#1} (package)}% \index{package!#1?\Ppack{#1}}} % package name \newcommand*{\Popt}[1]{\textsf{#1}} \newcommand*{\Lopt}[1]{\Popt{#1}% \index{#1 opt?\Popt{#1} (option)}% \index{option!#1?\Popt{#1}}} % option name \newcommand*{\Pe}[1]{\texttt{#1}} % print env name \newcommand*{\Ie}[1]{\texttt{#1}\index{#1 env?\texttt{#1} (environment)}% \index{environment!#1?\texttt{#1}}} \newcommand*{\Pcn}[1]{\texttt{#1}} % print counter name \newcommand*{\Icn}[1]{\texttt{#1}\index{#1 cou?\Pcn{#1} (counter)}% \index{counter!#1?\Pcn{#1}}} \newcommand*{\Itt}[1]{\texttt{#1}\index{#1tt?\texttt{#1}}} \newcommand*{\file}[1]{\texttt{#1}} % print a file name \newcommand*{\ixfile}[1]{% % index a file name \index{#1 file?\file{#1} (file)}% \index{file!#1?\file{#1}}} \newcommand*{\pixfile}[1]{\file{#1}\ixfile{#1}} % print & index a file name % print and index a length \newcommand*{\lnc}[1]{\cmdprint{#1}% \index{\expandafter\@gobble\string#1len?\string\cmdprint{\string#1} (length)}% \index{length!\expandafter\@gobble\string#1len?\string\cmdprint{\string#1}}} \newcommand*{\posarg}[1]{\textsf{#1}} % print positioning argument % index a positioning argument \newcommand*{\ixposarg}[1]{% \index{#1 (position argument)?\posarg{#1} (position argument)}} % print and index a positioning argument \newcommand*{\pixposarg}[1]{\posarg{#1}\ixposarg{#1}} % print and index a counter representation \newcommand*{\pcrep}[1]{\texttt{#1}} \newcommand*{\ixcrep}[1]{\index{#1 tt?\pcrep{#1}}% \index{counter representation!#1 tt?\pcrep{#1}}} \newcommand*{\Icrep}[1]{\texttt{#1}\index{#1 tt?\texttt{#1}}}% % counter representation \renewcommand*{\Icrep}[1]{\pcrep{#1}\ixcrep{#1}}% % print & index counter rep \newcommand*{\pixcrep}[1]{\pcrep{#1}\ixcrep{#1}} % print & index counter rep %%%%%% for FontSite fonts \newcommand*{\FSfont}[1]{% \fontfamily{#1}\selectfont} %%%%% for `standard' LaTeX fonts \newcommand*{\LXfont}[1]{% \fontfamily{#1}\selectfont} \newcommand*{\boxminipage}{% \@ifnextchar [%] \@ibxminipage {\@iiibxminipage c\relax[s]}} \def\@ibxminipage[#1]{% \@ifnextchar [%] {\@iibxminipage{#1}}% {\@iiibxminipage{#1}\relax[s]}} \def\@iibxminipage#1[#2]{% \@ifnextchar [%] {\@iiibxminipage{#1}{#2}}% {\@iiibxminipage{#1}{#2}[#1]}} \let\@bxminto\@empty \def\@iiibxminipage#1#2[#3]#4{% \ifx\relax#2\else \setlength\@tempdimb{#2}% \def\@bxminto{to\@tempdimb}% \fi \leavevmode \@pboxswfalse \if #1b\vbox \else \if #1t\vtop \else \ifmmode \vcenter \else \@pboxswtrue $\vcenter \fi \fi \fi % \@bxminto \bgroup% outermost vbox \hsize #4 \hrule\@height\fboxrule \hbox\bgroup% inner hbox \vrule\@width\fboxrule \hskip\fboxsep \vbox \@bxminto \bgroup% innermost vbox \vskip\fboxsep \advance\hsize -2\fboxrule \advance\hsize -2\fboxsep \textwidth\hsize \columnwidth\hsize \@parboxrestore \def\@mpfn{mpfootnote}\def\thempfn{\thempfootnote}\c@mpfootnote\z@ \let\@footnotetext\@mpfootnotetext \let\@listdepth\@mplistdepth \@mplistdepth\z@ \@minipagerestore\@minipagetrue \everypar{\global\@minipagefalse\everypar{}}} \def\endboxminipage{% \par\vskip-\lastskip \ifvoid\@mpfootins\else \vskip\skip\@mpfootins\footnoterule\unvbox\@mpfootins\fi \vskip\fboxsep \egroup% end innermost vbox \hskip\fboxsep \vrule\@width\fboxrule \egroup% end hbox \hrule\@height\fboxrule \egroup% end outermost vbox \if@pboxsw $\fi} \newlength{\tpheight}\setlength{\tpheight}{0.9\textheight} \newlength{\txtheight}\setlength{\txtheight}{0.9\tpheight} \newlength{\tpwidth}\setlength{\tpwidth}{0.9\textwidth} \newlength{\txtwidth}\setlength{\txtwidth}{0.9\tpwidth} \newlength{\tdrop} % (already defined) \newenvironment{showtitle}{% \begin{boxminipage}[c][\tpheight]{\tpwidth} \centering\begin{vplace}\begin{minipage}[c][\txtheight]{\txtwidth}}% {\end{minipage}\end{vplace}\end{boxminipage}} %%%%%%%%% section head designs \newcommand*{\defaultsecheads}{ \setsecheadstyle{\normalfont\Large\bfseries\raggedright} \setsecindent{0pt} \setbeforesecskip{-3.5ex plus -1ex minus -.2ex} \setaftersecskip{2.3ex plus .2ex} \setsubsecheadstyle{\normalfont\large\bfseries\raggedright} \setsubsecindent{0pt} \setbeforesubsecskip{-3.25ex plus -1ex minus -.2ex} \setaftersubsecskip{1.5ex plus .2ex} \setsubsubsecheadstyle{\normalfont\bfseries\raggedright} \setsubsubsecindent{0pt} \setbeforesubsubsecskip{-3.25ex plus -1ex minus -.2ex} \setaftersubsubsecskip{1.5ex plus .2ex} \setparaheadstyle{\normalfont\bfseries} \setparaindent{0pt} \setbeforeparaskip{3.25ex plus 1ex minus .2ex} \setafterparaskip{-1em} \setsubparaheadstyle{\normalfont\bfseries} \setsubparaindent{0pt} \setbeforesubparaskip{3.25ex plus 1ex minus .2ex} \setaftersubparaskip{-1em} } %%%%%%%%%%%%%% Manual layout and design elements \newcommand*{\memmansecheads}{ \setsecheadstyle{\normalfont\scshape\raggedright} \setsecindent{0pt} \setbeforesecskip{-1.333\onelineskip plus -0.5\onelineskip minus -0.5\onelineskip} \setaftersecskip{.667\onelineskip plus 0.1\onelineskip} %%% surround = 2 lines (1.333/.667) %%% surround = 1 line (.667/.333) \setsubsecheadstyle{\normalfont\sffamily\raggedright} \setsubsecindent{0pt} \setbeforesubsecskip{-.667\onelineskip plus -0.5\onelineskip minus -0.5\onelineskip} \setaftersubsecskip{0.333\onelineskip plus 0.1\onelineskip} %%% surround = 1 line (.667/.333) \setsubsubsecheadstyle{\normalfont\itshape\raggedright} \setsubsubsecindent{0pt} \setbeforesubsubsecskip{-0.667\onelineskip plus -0.25\onelineskip minus -0.25\onelineskip} \setaftersubsubsecskip{0.333\onelineskip plus 0.1\onelineskip} %%% no surround \setparaheadstyle{\normalfont\sffamily} \setparaindent{0pt} \setbeforeparaskip{1.0\onelineskip plus 0.5\onelineskip minus 0.25\onelineskip} \setafterparaskip{-1em} \setsubparaheadstyle{\normalfont\sffamily} \setsubparaindent{0pt} \setbeforesubparaskip{1.0\onelineskip plus 0.5\onelineskip minus 0.25\onelineskip} \setaftersubparaskip{-1em} } %%%%%% hypermarks in index % from email from Lars Madsen \providecommand{\doidxbookmark}[1]{{\def\@tempa{Symbols}\def\@tempb{#1}% \centering\bfseries \ifx\@tempa\@tempb @ \else #1\fi\vskip\onelineskip\par}} % extended to add booksmarks for each letter group. \renewcommand{\doidxbookmark}[1]{{\def\@tempa{Symbols}\def\@tempb{#1}% \centering\bfseries \ifx\@tempa\@tempb % % Analphabetics Keywords/Commands \phantomsection% \pdfbookmark[0]{Keywords/Commands}{Analphabetics-idx}% % \label{AnalphabeticsAnalphabeticsAnalphabetics-idx}% \else #1% \phantomsection% \pdfbookmark[0]{#1}{#1-idx}% % \label{#1#1#1-idx}% \fi% \vskip\onelineskip\par}} \providecommand{\hyperpage}[1]{#1} %%% need more space for ToC page numbers \setpnumwidth{2.55em} \setrmarg{3.55em} %%% need more space for ToC section numbers \cftsetindents{section}{1.5em}{3.0em} \cftsetindents{subsection}{4.5em}{3.9em} \cftsetindents{subsubsection}{8.4em}{4.8em} \cftsetindents{paragraph}{10.7em}{5.7em} \cftsetindents{subparagraph}{12.7em}{6.7em} %%% and for LoF and LoT numbers \cftsetindents{figure}{0em}{3.0em} \cftsetindents{table}{0em}{3.0em} %%% set up the page layout \settrimmedsize{11in}{210mm}{*} \setlength{\trimtop}{0pt} \setlength{\trimedge}{\stockwidth} \addtolength{\trimedge}{-\paperwidth} \settypeblocksize{7.75in}{33pc}{*} \setulmargins{4cm}{*}{*} \setlrmargins{1.25in}{*}{*} \setmarginnotes{17pt}{51pt}{\onelineskip} \setheadfoot{\onelineskip}{2\onelineskip} \setheaderspaces{*}{2\onelineskip}{*} \checkandfixthelayout %%% empty pagestyle for Part pages \aliaspagestyle{part}{empty} \bibliographystyle{alpha} %%% subfigures and tables \newsubfloat{figure} \newsubfloat{table} \setcounter{lofdepth}{2} %%% Set oldstylenums (which here are taken from CMR, not Palatino) \DeclareRobustCommand{\Moldstyle}[1]{{\Large\oldstylenums{#1}}} %%%%% Pavlic `fix' for index \let\original@wrindexm@m\@wrindexm@m \def\@wrindexm@m{\catcode`\ =10 \original@wrindexm@m} % for letter group bookmarks for glossary items \newcommand\doglobookmark[1]{% \def\@tempa{Symbols}\def\@tempb{#1}% \ifx\@tempa\@tempb % \phantomsection\pdfbookmark[0]{Kyewords/Commands}{Analphabetics-glo}% \else% \phantomsection\pdfbookmark[0]{#1}{#1-glo}% \fi% } \makeatletter %%%%% CafeOBJ code \newcommand{\@zeroseps}{\setlength{\topsep}{\z@}% \setlength{\partopsep}{\z@}% \setlength{\parskip}{\z@}} \newlength{\gparindent} \setlength{\gparindent}{\parindent} \setlength{\gparindent}{0.5\parindent} % Now, the environment itself \newenvironment{ccode}{\@zeroseps \renewcommand{\verbatim@startline}{% \verbatim@line{\hskip\gparindent}} \small\setlength{\baselineskip}{\onelineskip}\verbatim}% {\endverbatim \vspace{-\baselineskip}% \noindent } %%%% CafeOBJ \def\cafeobj{\textsf{CafeOBJ}} %%%%% kbd - argument is characters typed literally. \def\kbd#1{{\texttt{#1}\null}} %%%%% beginexample...endexample - surrounds literal text, such a code example. % typeset in a typewriter font with line breaks preserved. \def\example{\leavevmode\begingroup \obeylines\obeyspaces\parskip0pt\small\texttt} {\obeyspaces\global\let =\ } \def\endexample{\endgroup} % \newenvironment{example}% % {\begin{framed}\begin{ccode}} % {\end{ccode}\end{framed}\noindent} %%%% terminal - used for terminal symbols, argument is characters appear in sf. \def\sym#1{\textsf{#1}\null} %%%% nonterm - used for non terminal symbols, argument is characters typed with % italic face. \def\nonterm#1{\textit{#1}\null} %%%% syntax ... endsyntax \def\xstrut{\relax\ifmmode\copy\strutbox\else\unhcopy\strutbox\fi} \def\syntax{\syntaxoutnonbox\halign\bgroup \xstrut$\@lign##$\hfil &\hfil$\@lign{}##{}$\hfil &$\@lign##$\hfil &\qquad\@lign-- ##\hfil\cr} \def\endsyntax{\crcr\egroup$$ \global\@ignoretrue } \def\syntaxoutnonbox{\xleavevmode$$ \parskip=0pt\lineskip=0pt \def\\{\crcr}% Must have \def and not \let for nested alignments. \everycr={\noalign{\penalty10000}} \tabskip=0pt} \def\xleavevmode{\ifvmode\if@inlabel\indent\else\if@noskipsec\indent\else \if@nobreak\global\@nobreakfalse\everypar={}\fi {\parskip=0pt\noindent}\fi\fi\fi} \def\@but{\noalign{\nointerlineskip}} \def\alt{{\;|\;}} \def\seqof#1{\mbox{\textbf{\{}}\;{#1}\;\mbox{\textbf{\}}}} \def\optn#1{\textbf{[}\;{#1}\;\textbf{]}} \def\synindent{\;\;\;} %%%% line across the page \newcommand*{\Hline}{\mbox{}\hrulefill\mbox{}} %%%% Warning \newenvironment{warning}% {\begin{center}\small\textit{!!}~~~~~\begin{minipage}[c]{0.8\textwidth}\small}% {\end{minipage}\end{center}} %%%%% \definecolor{shadecolor}{gray}{0.9} \newenvironment{vvtm}% {\parskip=0pt\lineskip=0pt\begin{center}\begin{minipage}{0.94\textwidth}\begin{snugshade}\small}% {\end{snugshade}\end{minipage}\end{center}} \makeatother \typeout{End manual.sty} \endinput cafeobj-1.5.4/doc/manual/octal.cafe0000644000000000000000000000035612415124723015561 0ustar rootrootmodule OCTAL { [ OctalDigit ] ops 0 1 2 3 4 5 6 7 : -> OctalDigit } module HEX { [ HexDigit ] ops 0 1 2 3 4 5 6 7 8 9 : -> HexDigit ops A B C D E F : -> HexDigit } module HEX+OCTAL { protecting (OCTAL) protecting (HEX) } cafeobj-1.5.4/doc/manual/simple-int.cafe0000644000000000000000000000027412415124723016537 0ustar rootrootmodule SIMPLE-INT { protecting (SIMPLE-NAT) [ Nat NegInt < Int ] op -_ : NzNat -> NegInt op _+_ : Int Int -> Int op _-_ : Int Int -> Int op s : Int -> Int vars M M' : Int } cafeobj-1.5.4/doc/manual/simple-nat.cafe0000644000000000000000000000033412415124723016524 0ustar rootrootmodule SIMPLE-NAT { signature { [ Zero NzNat < Nat ] op 0 : -> Zero op s : Nat -> NzNat op _+_ : Nat Nat -> Nat } axioms { vars N N' : Nat eq 0 + N = N . eq s(N) + N' = s(N + N'). } } cafeobj-1.5.4/doc/manual/manual.tex0000644000000000000000000133706112605345045015650 0ustar rootroot\documentclass[a4paper]{memoir} \usepackage{manual} \setlength{\parindent}{0.0cm} \setlength{\parskip}{1.4ex} \headstyles{default} %%% ToC down to susubsections \settocdepth{subsubsection} %%% Numbering down to sections \setsecnumdepth{subsection} %%% index \makeindex[lines] %%%% end preamble ----------------------------------------------------- \begin{document} \tightlists \midsloppy \chapterstyle{ell} % ----- Title Page \frontmatter \pagestyle{empty} %% \title{\cafeobj~User's Manual \\ --- ver.1.4.12 ---} \author{Ataru T. Nakagawa \and Toshimi Sawada \and Kokichi Futatsugi} %\date{\today} \date{2013/3/1} \bibliographystyle{plain} \maketitle \vfill \begin{center} \includegraphics[scale=0.2]{cafe-logo.pdf} \end{center} \vfill %% \Hline %% \begin{center} %% \footnotesize{Revised on 2012/3 by Kosakusha} %% \end{center} \thispagestyle{empty} %% \Hline %% %%%% %% \subsubsection*{NOTE} %% This manual is out of date and is subject to change. %% \subsubsection*{Changes from Version 1.3} %% The main changes from version 1.3 are as follows. %% \begin{itemize} %% \item In addition to Gnu Common Lisp, CMU Common Lisp and Allegro Common Lisp %% can be used as a platform. %% \item Faster rewrite engines are now available, and can be invoked from %% \cafeobj. %% \item The predicate \verb|==>| (for transition relations) gets a more %% powerful support. A couple of new switches are added for this reason. %% \item Behavioural axioms can be used in equational reduction, and %% an operator attribute \kbd{coherent} is added for this purpose. %% \item A behavioural reduction command is introduced. %% \item Sort predicates are introduced. %% \end{itemize} %% \Hline \clearpage \newpage \pagestyle{headings} \tableofcontents %\listoffigures \clearpage %%%%%%%%%%%%%%%%%%%%%% \pagestyle{ruled} \chapter{Introduction} \cafeobj~is a specification language based on three-way extensions to many-sorted equational logic: the underlying logic is order-sorted, not just many-sorted; it admits unidiretional transitions, as well as equations; it also accommodates hidden sorts, on top of ordinary, visible sorts. A subset of \cafeobj~is executable, where the operational semantics is given by a conditional order-sorted term rewriting system. These theoretical bases are indispensable to employ \cafeobj~properly. Fortunately, there is an ample literature on these subjects, and we are able to refer the reader to, e.g., \cite{e-m85}, \cite{m-g82} (for basics of algebraic specifications), \cite{osa}, \cite{osa-survey} (for order-sorted logic), \cite{hsa} (for hidden sorts), \cite{eatcs-coalg} (for coinduction), \cite{rew-logic} (for rewriting logic), \cite{institution} (for institutions), and \cite{trs-eatcs}, \cite{trs-handbook} (for term rewriting systems), as primers. The logical aspects of \cafeobj~are explained in detail in \cite{razvan96-1} and \cite{cafeobj-rep}. This manual is for the initiated, and we sometimes abandon the theoretical rigour for the sake of intuitiveness. For a very brief introduction, we just highlight a couple of features of \cafeobj. \cafeobj~is an offspring of the family of algebraic specification techniques. A specification is a text, usually of formal syntax. It denotes an algebraic system constructed out of sorts (or data types) and sorted (or typed) operators. The system is characterised by the axioms in the specification. An axiom was traditionally a plain equation (``essentially algebraic''), but is now construed much more broadly. For example, \cafeobj~accommodates conditional equations, directed transitions, and (limited) use of disequality. The underlying logic of \cafeobj~is as follows\footnote{ Some of the authors feel that some of these technical terms are queer. But to avoid confusion, we basically keep to the established terminology. }. \begin{itemize} \item[]\textbf{ Order-sorted logic}\cite{osa}. A sort may be a subset of another sort. For example, natural numbers may be embedded into rationals. This embedding makes valid the assertion that 3 equals 6/2. It also realises ``operator inheritance'', in the sense that an operator declared on rationals are automatically declared on natural numbers. Moreover, the subsort relation offers you a simple way to define partial operations and exception handling. \item[] \textbf{ Rewriting logic}\cite{rew-logic}. In addition to equality, which is subject to the law of symmetry, you may use transition relations, which are directed in one way only. State transitions are naturally formalised by those relations. In particular, transition relations are useful to represent concurrency and/or indeterminacy. \item[]\textbf{ Hidden sorts}\cite{hsa}. You have two kinds of equivalence. One is a minimal equivalence, that identifies terms (elements) iff they are the same under the given equational theory. Another equivalence, employed for so-called hidden sorts, is behavioural: two terms are equivalent iff they behave identically under the given set of observations. \end{itemize} We would also like to emphasise a very useful feature of \cafeobj. \begin{itemize} \item[]\textbf{ Parameters}. There are many sorts that are inherently generic. Stacks, lists, sets and so on have operations that act independently of the properties of base (``data'') elements. A more tricky case is priority queues, which require base elements to have an order relation. You may define these sorts by parameterised modules, where base elements are parameterised out. A parameter may be subject to constraints. For example, the parameter of a priority queue module may be declared an ordered set, not an arbitrary set. \end{itemize} \section{Legends} Restrictions, particulars, and prejudices of the current implementation shall be highlighted by preceding \emph{!!}, as \begin{warning} Woe betide those who do not heed this warning! \end{warning} while syntactical definitions are shown as \begin{bsyntax} title \mbox{\texttt{I am a language construct.}} \end{bsyntax} \setcounter{bsyntax}{0} The definitions inside the box are by way of notations as follows. \begin{itemize} \item[(1)] $\{$, $\}$ are meta-syntactical brackets. \item[(2)] $|$ separates alternatives. \item[(3)] $*$ means zero or more repetitions of the preceding construct. \item[(4)] $+$ means one or more repetitions. \item[(5)] $*_{,}$ means zero or more repetitions separated by commas. \item[(6)] $+_{,}$ means one or more repetitions separated by commas. \item[(7)] $[$, $]$ enclose optional constructs. \item[(8)] The above symbols, to appear as they are, are enclosed by quotes, as ``\verb|{|''. \item[(9)] Symbols in the typewriter font appear as they are: \kbd{x} is literally \kbd{x}. In case this convention is ambiguous, e.g. when a parenthesis appears in isolation, symbols are quoted as in (8). \end{itemize} For example, \begin{tabular}{l} \kbd{A} $+_,$ \end{tabular} represents sequences of one or more \verb|A|'s, separated by commas. %%%%%%% \mainmatter \pagestyle{ruled} \chapter{Dialogue with the System} \section*{Availability} You may obtain a complete distribution package from the following site. \begin{vvtm} \begin{ccode} http://www.ldl.jaist.ac.jp/cafeobj/system.html \end{ccode} \end{vvtm} % where \verb|???| is a version numbering. Or you can get a system linked % from the site % \begin{vvtm} % \begin{verbatim} % http://www.ldl.jaist.ac.jp/cafeobj/ % \end{verbatim} % \end{vvtm} % Mirror sites in Europe and USA are under consideration. % The current version works under Unix operating systems (usual % vernaculars, including various versions of Sun OS, FreeBSD, and Linux, are % all okay) or Mac (MacOSX 10.5 or later), and is implemented on % various Common Lisp processors (including % Gnu, CMU, Allegro, and MacLisp). But you cannot run, for example, MacLisp % on Solaris, for an obvious reason. On the question of which Lisp systems % to use on which operating systems, and which Lisp systems to be obtained % from where, consult the installation guide (README) in the distribution % package. The current version works under i386 Linux, i386 MacOSX (version 10.5 or later), and win32. Binary package of these platforms can be obtained from the above site. You can also download source code of the system from the same place. % In principle the system should also work on Windows with Allegro, but there % is no guarantee of its behaviours. The implementors have no intention % of testing the system under Windows environments. \section{Hello, Goodbye}\label{sec:p2-startup} \subsection{Starting Up} After installation, type ``\verb|cafeobj|'' to your shell to invoke the system. Then the \cafeobj~interpreter starts up, producing a welcoming message. % \begin{vvtm} % \begin{verbatim} % % cafeobj % -- loading standard prelude % ; Loading /mnt1/lang/cafeobj-1.4/prelude/std.bin. % % -- cafeobj system Version 1.4.100203p116 -- % built: 1984 Dec 24 Mon 3:44:17 GMT % prelude file: std.bin % *** % 1999 Dec 31 Fri 23:59:45 GMT % Type ? for help % % % CafeOBJ> % \end{verbatim} % \end{vvtm} \begin{vvtm} \begin{ccode} % cafeobj -- loading standard prelude ; Loading /usr/local/cafeobj-1.4/prelude/std.bin -- CafeOBJ system Version 1.4.8(PigNose0.99,p18) -- built: 2010 Jul 5 Mon 0:50:01 GMT prelude file: std.bin *** 2010 Jul 5 Mon 6:59:56 GMT Type ? for help *** -- Containing PigNose Extensions -- --- built on International Allegro CL Enterprise Edition 8.2 [Mac OS X (Intel)] (Jul 5, 2010 9:49) CafeOBJ> \end{ccode} \end{vvtm} For a moment, ignore the message. ``\verb|cafeobj>|'' is a prompt for your requests. You may type modules, views, parsing instructions, reduction commands, and so on, each of which shall be gradually introduced in the rest of the manual. As a first experiment, try feeding a trivial module definition (you need not worry about the meaning for now). \begin{vvtm} \begin{ccode} module TEST { [ Elt ] } -- defining module TEST processing input : /usr/local/cafeobj-1.4/lib/bool.mod processing input : /usr/local/cafeobj-1.4/lib/truth.mod -- defining module! TRUTH -- reading in file : truth -- done reading in file: truth ............_......* done. -- defining module! BOOL............._......................* done.._* done. CafeOBJ> \end{ccode} \end{vvtm} Your input is up to the first newline character. The rest is from the system. It shows that the system has accepted the definition, put this module somewhere in its memory, to be available hereafter. %%% t.swd 2010/June \footnote{As you see in the example above, system may load some other modules required for defining your module. In this case, \kbd{TRUTH} and \kbd{BOOL} are loaded in automatic. These are modules which provides built-in Boolean types and operations. More on this at page~\pageref{sec:p2-import-decl}.} %%% You may continue to feed other modules, or check if indeed the module is correctly stored. As a further trial, type \begin{vvtm} \begin{ccode} CafeOBJ> select TEST TEST> \end{ccode} \end{vvtm} The command \texttt{select}\index{\texttt{select}} takes as argument a module name. ``\verb|TEST>|'' is a new prompt. As you see, \verb|TEST| is the name of the module just \texttt{select}ed. The system maintains a module, called the \emph{current module}\index{current module}, that is the focus of manipulation at the time. The initial prompt ``\verb|CafeOBJ>|'' indicates the current module is not yet supplied. Or a module \verb|cafeobj| is now current (it is possible, if confusing, to define such a module). Various commands, such as parsing and reduction, are executed under the current module. For more details on current modules, see Section \ref{sec:p2-current-module}. %\begin{warning} % \cafeobj~has a command structure quite similar to that of % OBJ3\cite{OBJ}. In fact, former versions of \cafeobj~accepted % a subset of OBJ3's commands. This version, however, contains % some major extensions, and adopts different conventions. In OBJ3, % the current module changes whenever you have defined a new module, % fed a reduction command, etc. In contrast, in this version of \cafeobj~, % the current module does not change (by default). To get a convention % similar to OBJ3, you may toggle a switch (cf. Section % \ref{sec:p2-current-module}). %\end{warning} %\begin{warning} % This version has discarded another convention of OBJ3. In OBJ3, many % commands and language constructs require ``blank-period'' stoppers. % Former versions of \cafeobj~clinged to the convention, partly % for compatibility, partly for easier lexical analyses. % This version does not require them, most of the time. %\end{warning} \subsection{Quitting the System} To quit \cafeobj, type \verb|quit| (or \verb|q| for short) or the end of input character (usually control-D) at a prompt. Then the interpreter terminates and the control is given back to the original shell. \begin{vvtm} \begin{ccode} CafeOBJ> quit [Leaving CafeOBJ] % \end{ccode} \end{vvtm} %\begin{warning} %Former versions of \cafeobj~allowed you to quit to the underlying lisp %environment. Upon \verb|quit|, this version goes straight back to the %shell. %\end{warning} \subsection{Emergency --- Resumption and Bug Reports} In detecting errors, \cafeobj~growls. \begin{vvtm} \begin{ccode} CafeOBJ> module ERROR } [Error]: was expecting the symbol `{' not `}' . CafeOBJ> \end{ccode} \end{vvtm} The above message starting with ``\verb|[Error]|'' indicates that the system detected a syntax error in processing your input. Due to irrecoverable input errors, or just to mulfunctions, \cafeobj ~may stop abnormally, and throw the control away to an error environment. \begin{vvtm} \begin{ccode} CafeOBJ> ^C Correctable error: Console interrupt. Signalled by CAFEOBJ-TOP-LEVEL. If continued: Type :r to resume execution, or :q to quit to top level. Broken at SYSTEM:TERMINAL-INTERRUPT. Type :H for Help. CHAOS>> \end{ccode} \end{vvtm} The above session was obtained by typing the interrupt code (usually Control-C) at the initial prompt, forcing \cafeobj~to stop willy-nilly. The prompt ``\verb|CHAOS>>|'' indicates you plunged into an error environment. The above message may look familiar to you, if you are a user of GCL. The message was from GCL, and the error environment is a GCL error loop\footnote{ Error loops of CMU, Allegro, and MacLisp work more or less similarly, and the same recover command \kbd{:q} works. }. Following the instructions from GCL, you may resume the \cafeobj~session with \verb|:q|, as \begin{vvtm} \begin{ccode} CHAOS>>:q CafeOBJ> \end{ccode} \end{vvtm} The message There may be irrecoverable cases, when \verb|:q| (or similar commands of other Common Lisp systems) fails to work. Then try ``\verb|(cafeobj t)|''. This is a more robust means to return to \cafeobj. If, for goodness, you are unable to return to \cafeobj~even then, exit GCL (control-D normally works) and start from scratch. If the system still works fine, but if you happen to have destroyed some vital module definitions, try \begin{vvtm} \begin{ccode} CafeOBJ> reset \end{ccode} \end{vvtm} which restores the definitions of built-in modules (Chapter \ref{sec:p2-builtin-module}) and preludes (Section \ref{sec:p2-init-opt}). This command does not affect other modules. For complete cleanup, use \begin{vvtm} \begin{ccode} CafeOBJ> full-reset \end{ccode} \end{vvtm} which reinitialises the internal state of the system. But before calling this command, remember that you will lose all the module definitions you have supplied so far. You are warned. \paragraph{Bug Reports} The system is under continual improvement. If you detect any bugs, malfunctions, or just inconveniences, do let us know. The support team is reachable via \begin{vvtm} \begin{ccode} cafe-bugs@ldl.jaist.ac.jp \end{ccode} \end{vvtm} %%%%%%%% \section{Files and Libraries} \subsection{Reading Files}\label{sec:p2-reading-files} Not every module is as trivial as \verb|TEST|, and you will % sooooon soon need library systems for store/recovering module definitions, test cases, and so on. \cafeobj~requires every imported module (cf. Section \ref{sec:p2-import-decl}) to be defined beforehand, so you need a recursive file reference mechanism. As a minimum, you need the following command. \begin{bsyntax} \texttt{input} command\index{\texttt{input}}\index{\texttt{in}}\Hline \texttt{input}~\textit{pathname} \end{bsyntax} \verb|input| (or \verb|in| for short) requests the system to read the file specified by the pathname. The file itself may contain \verb|input| command, and so on, ad nauseum. \cafeobj~reads the file up to eof, or until it encounters a line that only contains (the literal) \verb|eof|. \begin{bsyntax} \texttt{eof}~command \index{\texttt{eof}}\Hline \texttt{eof} \end{bsyntax} This little command is especially useful when the % program codes are under development. You can supply the system with only those definitions that are up to scratch. Pathnames follow the conventions of the Unix file system. Both relative and absolute paths are possible, and ``\verb|~|''\index{\texttt{\~} (home directory)} denotes your home directory. If there is no file with the pathname, the system expands the name with suffixes ``kbd{.cafe}''\footnote{The older systems prior to version 1.4.8 used a diffrenct suffix ``\kbd{.mod}''. This is also supported for compatibility.} \index{\texttt{.cafe} (suffix)} \index{\texttt{.mod} (suffix)} or ``\kbd{.bin}'' \index{\texttt{.bin} (suffix)} and re-search the directory. By convention, a file suffixed with ``\kbd{.cafe}'' is assumed to contain definitions and commands written in \cafeobj, while ``\kbd{.bin}'' indicates a file containing internal codes. Normally, you should prepare ``\kbd{.cafe}'' files yourself, and leave the system to create ``\kbd{.bin}'' files (see Section \ref{sec:p2-save-restore}). Some directory traversal commands of Unix are also available. \begin{bsyntax} \texttt{cd}~ command \index{\texttt{cd}}\Hline \texttt{cd}~\textit{pathname} \end{bsyntax} \begin{bsyntax} \texttt{pwd}~\textit{command}\index{\texttt{pwd}}\Hline \texttt{pwd} \end{bsyntax} \begin{bsyntax} \texttt{ls} command \index{\texttt{ls}}\Hline \texttt{ls} \textit{pathname} \end{bsyntax} where pathnames must be those of directories. \begin{warning} The above commands act like their namesakes in Unix shells, but are not exactly the same. The arguments to \verb|cd|, \verb|ls| are not optional, but necessary. Also, the system does not recognise \verb|~bimbo| as the home directory of \verb|bimbo|. \end{warning} \subsection{Saving and Restoring}\label{sec:p2-save-restore} Module definitions may be saved in an internal format, for efficient later retrieval. The commands \begin{bsyntax} \texttt{save} command \index{\texttt{save}}\Hline \texttt{save} \textit{pathname} \end{bsyntax} \begin{bsyntax} \texttt{restore} command \index{\texttt{restore}}\Hline \texttt{restore} \textit{pathname} \end{bsyntax} save/restore module definitions into/from the designated file. Pathnames must be those of files. To adhere to the system's convention, file names should be suffixed with ``\verb|.bin|''. In place of \verb|restore| command, you may also use \verb|input| command (Section \ref{sec:p2-reading-files}). \begin{warning} \kbd{save} saves the contents of prelude files (see Section \ref{sec:p2-init-opt}) as well as module definitions given during the session. \kbd{restore} reestablishes those definitions as they are saved, and the effects may be different from reading the file with \kbd{input} command. It is safer to use \kbd{restore} command to read \kbd{save}d files. \end{warning} You can also save the entire image of the system, including the state of module definitions, into a dump file, by the following command. \begin{bsyntax} \texttt{save-system} command \index{\texttt{save-system}}\Hline \texttt{save-system} \textit{pathname} \end{bsyntax} \begin{warning} \kbd{save-system} dumps the image of Common Lisp, so do not abuse this command. And due to the restictions of Common Lisp systems, this command may not work. \end{warning} \subsection{Initialisations and Options}\label{sec:p2-init-opt} Recall (Section \ref{sec:p2-startup}) that the initial system message contained \begin{vvtm} \begin{ccode} -- loading standard prelude ; Loading /mnt1/lang/cafeobj-1.4/prelude/std.bin. \end{ccode} \end{vvtm} In starting up, \cafeobj~autoloads\index{autoloading} a set of modules, called standard preludes.\index{prelude}\index{standard preludes} They define frequently used data types and house-keeping data (cf. Chapter \ref{sec:p2-builtin-module}). You may initialise the system to your taste, with options and initialisation files.\index{initialisation file}\index{\texttt{.cafeobj}} If a file named ``\kbd{.cafeobj}'' is under your home directory, the system reads the file as if you type \begin{vvtm} \begin{ccode} CafeOBJ> in ~/.cafeobj \end{ccode} \end{vvtm} after the startup. This initialisation is useful to change default values of modes and switches (cf. \verb|set| command, Section \ref{sec:p2-set-command}). Various options\index{option (for startup)} control the initial state of the system. \begin{itemize} \item[\kbd{-q}] This option prohibits reading \verb|.cafeobj|. \item[\kbd{-p}] \emph{pathname}.~~ Instead of the standard prelude file, which is set up during installation, \index{standard prelude file} the system reads the given pathname (which must be a file). The suffix convention is applicable here. \item[\kbd{+p}] {\em pathname}. ~~The sytstem reads the given pathname {\em in addition to} the standard prelude file. \item[\kbd{-l}] {\em pathname-list}. ~~In processing \kbd{input} command, the system searches the pathname list to locate the specified file. (For default search paths, see Section \ref{sec:p2-lib-system}.) All the pathnames must be directories, and the list must be separated by ``\kbd{:}''. \item[\kbd{+l}] {\em pathname-list}. ~~Pathnames are {\em added} to the search directory list. \end{itemize} For example, \begin{vvtm} \begin{ccode} % cafeobj +p /usr/cern/particle/muon.bin -l /usr/cern/lib/std:/usr/cern/lib/muon:/usr/home/eva/cafe \end{ccode} \end{vvtm} makes the system (1) read the standard prelude file, (2) read \kbd{muon.bin} in addition, (3) set the search directories as given, and (4) read the initialisation file \kbd{.cafeobj}, if it exists. %\begin{warning} % Pathnames in \verb|-l|, \verb|+l| options must be absolute. %\end{warning} You may also make the system read files by giving them as arguments. For example, \begin{vvtm} \begin{ccode} % cafeobj lemma1 lemma2 \end{ccode} \end{vvtm} has the same effects as typing \begin{vvtm} \begin{ccode} CafeOBJ> input lemma1 ... messages from the system ... CafeOBJ> input lemma2 ... messages from the system ... \end{ccode} \end{vvtm} at the beginning of the session. Note that, even though ``\kbd{-p}'' options, file name arguments and ``\kbd{.cafeobj}'' all cause the system to process definitions and commands, their effects are slightly different. Modules defined in prelude files, whether standard or user-supplied, are treated as preludes. This difference reveals itself when, e.g., \kbd{reset} command (Section \ref{sec:p2-startup}) is invoked. Finally, if you are disinclined to remember all of the above, just memorise the help option. \begin{vvtm} \begin{ccode} % cafeobj -help \end{ccode} \end{vvtm} lists the available options. \subsection{Batch \cafeobj} \label{sec:p2-batch} If you do not want to pay much attention to the system, you may run the system non-interactively. An option \kbd{-batch} causes the system to run on the batch mode, and the system terminates immediately. This is useful in processing a large file. For example, \begin{vvtm} \begin{ccode} % cafeobj -batch goliath > cafe.out \end{ccode} \end{vvtm} forces the system to read and process \kbd{goliath} (or \kbd{goliath.bin} or \kbd{goliath.cafe} or \kbd{goliath.mod}) while you have an afternoon tea. \subsection{Module Libraries} \label{sec:p2-lib-system} As suggested in the previous section, \cafeobj~maintains a list of search directories. Some of them are {\em standard}. You may change the list by ``\kbd{-l}'' or ``\kbd{+l}'' options, as explained in Section \ref{sec:p2-init-opt}. You may also change it during the session with \verb|set| command (Section \ref{sec:p2-set-command}). For example, \begin{vvtm} \begin{ccode} CafeOBJ> set libpath + /usr/home/maria/cafe:/usr/home/tania/cafe \end{ccode} \end{vvtm} adds the two directories to the search list, while \begin{vvtm} \begin{ccode} CafeOBJ> set libpath /usr/home/maria/cafe:/usr/home/tania/cafe \end{ccode} \end{vvtm} replaces the search list by the twosome. Each pathname should be separated by ``\kbd{:}'', like in ``\kbd{-l}'' and ``\kbd{+l}'' options. By default, if an apparent single file name is given as argument to \kbd{input} command, the system searches the current directory, then standard library directories. The standard library directories \index{standard library} are fixed at the time of installation. By default of defaults, they are \begin{vvtm} \begin{ccode} /usr/local/cafeobj-1.4/lib /usr/local/cafeobj-1.4/exs \end{ccode} \end{vvtm} which are searched {\em in this order}. If the search paths are modified, the sytem searches (a) the current directory, (b) the paths given by the user (from left to right), and (c) the above default paths (in case of \kbd{+} or \kbd{+l} options). \begin{warning} The current directory has a privileged status. It is always searched first, and cannot be suppressed by ``\kbd{-l}'' options or \kbd{set} command. \end{warning} To inspect the current search paths, type \begin{vvtm} \begin{ccode} CafeOBJ> show switch libpath \end{ccode} \end{vvtm} (see Section \ref{sec:p2-show-command} for \kbd{show} command in general). \subsection{Requiring and Providing} If you are familiar with emacs\index{emacs}, you may fancy the following pair of commands for configuration management. \begin{bsyntax} \texttt{require} command \index{\texttt{require}}\Hline \texttt{require} \textit{feature} $[$\textit{pathname}$]$ \end{bsyntax} \begin{bsyntax} \texttt{provide} command \index{\texttt{provide}}\Hline \texttt{provide} \textit{feature} \end{bsyntax} \kbd{require} requires a feature, which usually denotes a set of module definitions. Given this command, the system searches for a file named the feature, and read the file if found. If a pathname is given, the system searches for a file named the pathname instead. \kbd{provide} discharges a feature requirement: once \kbd{provide}d, all the subsequent \kbd{require}ments of a feature are assumed to have been fulfilled already. For example, you may be at the point of reading a file that refers to a module of lists. Suppose your convention is to store a set of container modules --- lists, bags, sets, and so on --- in a single file. Suppose further that, for various reasons, you have a couple of alternative definitions of those modules, stored in files \kbd{container-1.cafe}, \kbd{container-2.cafe}, etc. Then it is convenient to insert the command \begin{vvtm} \begin{ccode} provide container \end{ccode} \end{vvtm} in each file, so that, once one of them read in, the system knows that a module of lists is already supplied. To see which features have been provided, type \begin{vvtm} \begin{ccode} CafeOBJ> show features \end{ccode} \end{vvtm} (see Section \ref{sec:p2-show-command} for \kbd{show} command). \index{\texttt{show}} To continue the above example, provided there is a file \kbd{container-1.mod} that defines lists, bags, et al. and contains the \kbd{provide} command line as above, you may get the following session. \begin{vvtm} \begin{ccode} CafeOBJ> provide numbers CafeOBJ> require container container-1 processing input : ./container-1.cafe -- defining module LIST_* done. -- defining module BAG_* done. -- defining module SET_* done. CafeOBJ> require container container-1 CafeOBJ> show features container numbers \end{ccode} \end{vvtm} The first invocation of \kbd{require} made the system read the file, while the second invocation caused nothing. Also, since \kbd{numbers} was explicitly \kbd{provide}d, the system presumes the feature as given. \section{Some Helpful Commands}\label{sec:p2-other-toplevels} \subsection{Help Command and Top-level Commands}\label{sec:p2-help-command} Help commands of \cafeobj~in general employ ``?'', instead of ``help'', ``aide-moi'', ``socorro'', and so on. You may remember that the welcoming message contained the line \begin{vvtm} \begin{ccode} Type ? for help \end{ccode} \end{vvtm} saying that the topmost help command is \begin{bsyntax} command listing command \texttt{?}(help command)\index{\texttt{?} (help command)}\Hline \texttt{?} \end{bsyntax} which lists the top-level commands. They may be classified as follows. \begin{itemize} \item[-] Starting module declarations. \kbd{module} (Section \ref{sec:p2-module-decl-syntax}), \kbd{view} (Section \ref{sec:p2-view}), and some others introduce building blocks of \cafeobj~codes. They are to be explained in detail, in the rest of the manual. \item[-] Checking properties of modules. \kbd{check} (Section \ref{sec:p2-check-command}). \item[-] Managing systems. \verb|quit| (Section \ref{sec:p2-startup}), \verb|select| (Section \ref{sec:p2-current-module}), \verb|set| (Section \ref{sec:p2-set-command}), \verb|protect| (Section \ref{sec:p2-module-decl-syntax}), and others. \item[-] Managing files. \verb|input| (Section \ref{sec:p2-reading-files}), \verb|save| (Section \ref{sec:p2-save-restore}), and others. They should be already familiar to you. \item[-] Peeping systems. \verb|show| and \verb|describe| (Section \ref{sec:p2-show-command}) are at your command. \item[-] Evaluating terms. \verb|reduce|, \verb|execute|, and some others. Part of \verb|set| command also concerns evaluation. They are all explained in Chapter \ref{sec:p2-term-evaluation}. \item[-] Helping theorem proving. \verb|apply|, \verb|open|, et al. They shall be explained in Chapter \ref{sec:p2-theorem-proving}. \end{itemize} Many commands have abbreviations. We list them below (For a complete list of abbreviations, see Appendix \ref{sec:syntax-abbrev}). \begin{center} \begin{tabular}{ll||ll} \verb|module| & \verb|mod| & \verb|module!| & \verb|mod!| \\ \verb|module*| & \verb|mod*| & \verb|quit| & \verb|q| \\ \verb|show| & \verb|sh| & \verb|describe| & \verb|desc| \\ \verb|input| & \verb|in| & \verb|reduce| & \verb|red| \\ \verb|execute| & \verb|exec| & \verb|b-reduce| & \verb\bred| \\ \end{tabular} \end{center} \begin{warning} Other abbreviations may be accepted by the system. But unless explicitly stated in the manual, correct behaviours are not guaranteed. \end{warning} Some of the commands takes many different kinds of arguments. It is unlikely for you to remember all. In such cases, the system interprets the argument ``\verb|?|'' as your desperate call. For example, \begin{vvtm} \begin{ccode} CafeOBJ> set ? \end{ccode} \end{vvtm} prints a list of arguments acceptable to \verb|set| command, to be introduced immediately. \subsection{Switch-Toggling Command}\label{sec:p2-set-command} The system maintains various kind of switches. By definition a {\em switch}\index{switch} is two-valued (\verb|on|\index{\texttt{on}} and \verb|off|\index{\texttt{off}}). The following command changes the value of a switch. \begin{bsyntax} \texttt{set} command for switches \index{\texttt{set}}\Hline \texttt{set} \textit{switch\_name} $\{$ \texttt{on} $|$ \texttt{off} $\}$ \end{bsyntax} As explained in Section \ref{sec:p2-help-command}, you get a list of available switches by just typing \begin{vvtm} \begin{ccode} CafeOBJ> set ? \end{ccode} \end{vvtm} and the current value of switches are listed by \begin{vvtm} \begin{ccode} CafeOBJ> show switches \end{ccode} \end{vvtm} (for \verb|show|\index{\texttt{show}} command, see Section \ref{sec:p2-show-command}). A switch that affects the general behaviour of the system is \verb|verbose|. After this switch is turned \verb|on|, the system suddenly becomes talkative in responding to many commands, such as \verb|show| and \verb|describe|. Another such switch is \verb|quiet|. If this switch is \verb|on|, the system does not bother you with messages other than blatant error messages. Other switches are relevant to the specific commands of the system, and will be explained as the need arises. \begin{warning} Available switches are subject to frequent changes. \end{warning} Some arguments to \verb|set| command are not switches, and may range over many values. An example is \verb|libpath|, which was appeared in Section \ref{sec:p2-lib-system}. The general syntax might be \begin{bsyntax} \texttt{set} command for others \index{\texttt{set}} \Hline \texttt{set} \textit{a\_name} $[$\textit{option}$]$ \textit{value} \end{bsyntax} but options and values are dependent on the name, and names have no common characteristic other than that they refer to something. We shall explain them individually, as the occasions arise. \subsection{Inspection Commands}\label{sec:p2-show-command} \verb|show| command prints information on modules, system status, et al. The acceptable arguments are many, so you are wise to remember that \begin{vvtm} \begin{ccode} CafeOBJ> show ? \end{ccode} \end{vvtm} lists them all (cf. Section \ref{sec:p2-help-command}). The general syntax is complicated. It is better understood when divided into two. For the first half, you have \begin{bsyntax} \texttt{show} command for module inspection\Hline \index{\texttt{show}} \texttt{show} $[$\textit{module\_expression}$]$ \texttt{show} $[$\texttt{all}$]$ $\{$ \texttt{sorts} $|$ \texttt{ops} $|$ \texttt{sign} $|$ \texttt{axioms} $\}$ $[$\textit{module\_expression}$]$ \texttt{show} $\{$ \texttt{vars} $|$ \texttt{params} $|$ \texttt{subs} $\}$ $[$\textit{module\_expression}$]$ \texttt{show} $\{$ \texttt{sort} \textit{sort\_name} $\}$ $|$ $\{$ \texttt{op} \textit{operator\_name} $\}$ $[$ \textit{module\_expression}$]$ \texttt{show} $\{$ \texttt{sub} \textit{number} $\}$ $|$ $\{$ \texttt{param} \textit{parameter\_name} $\}$ $|$ $\{$ $[$ \texttt{all}$]$ \texttt{rules} $\}$ ~~~~~~~~$[$\textit{module\_expression}$]$ \texttt{show view} \textit{view\_name} \end{bsyntax} Do not bother to memorise all of these for now --- or ever. We illustrate them after module building constructs are explained (cf. Chapter \ref{sec:p2-inspect-module}). For the second half, you have \begin{bsyntax} \texttt{show} command for other inspection \Hline \texttt{show tree} $|$ $\{$ \texttt{term} $[$\textit{let\_variable}$]$ $[$\texttt{tree}$]$ $\}$ $|$ $\{$ \texttt{subterm} $[$\texttt{tree}$]$ $\}$ \texttt{show $[$ let $|$ selection $|$ pending $|$ context $|$ modules $|$ views $|$} ~~~~~~~~\texttt{time $|$ limit $|$ stop $|$ features $|$ memo} \texttt{show $[$all$]$ $\{$ rule \textit{rule\_specification} $\}$ $|$ $\{$ switches $[$\textit{switch\_name}$]$ $\}$} \end{bsyntax} Again, do not bother now. Most of these arguments are unrelated, and we explain the system's response separately for each of them, in relevant chapters. There is a command that enables you to look deeper into module definitions. \begin{bsyntax} \texttt{describe} command \index{\texttt{describe}} \Hline \texttt{describe $[$\textit{module\_expression}$]$} \texttt{describe $[$all$]$ $\{$ sorts $|$ ops $|$ sign $|$ axioms $\}$ $[$\textit{module\_expression}$]$} \texttt{describe $\{$ vars $|$ params $|$ subs $\}$ $[$\textit{} module\_expression $]$} \texttt{describe $\{$ sort \textit{sort\_name} $\}$ $|$ $\{$ op \textit{operator\_name} $\}$ $[$\textit{module\_expression}$]$} \end{bsyntax} \begin{warning} In using the system, you may notice that it treats \verb|show| and \verb|describe| in combination. In fact \begin{vvtm} \begin{ccode} CafeOBJ> show ? \end{ccode} \end{vvtm} lets you know the syntax of \verb|describe| as well as \verb|show|. Try also \begin{vvtm} \begin{ccode} CafeOBJ> describe ? \end{ccode} \end{vvtm} \end{warning} \chapter{Module Declaration}\label{sec:p2-module-declaration} The basic building blocks of \cafeobj~are modules. This chapter explains the outermost structure of a module. \section{Overall Structure}\label{sec:p2-module-decl-syntax} A module without parameters\index{module} has the following syntax. \index{\texttt{module}} \begin{bsyntax} module without parameters \Hline \texttt{module} \textit{module\_name} ``\texttt{\{}'' ~~\textit{module\_element} $*$ ``\texttt{\}}'' \end{bsyntax} A module name\index{module name} is an arbitrary character string. A module element\index{module element} is either %% (1) import declaration, (2) sort declaration (with ordering), %% (3) operator declaration, (4) record declaration, %% (5) variable declaration, (6) equation declaration, or %% (7) transition declaration. (1) import declaration, (2) sort declaration (with ordering), (3) operator declaration, (4) variable declaration, (5) equation declaration, or (6) transition declaration. In the subsequent chapters, we shall introduce each of them in turn. A general rule about module elements is that a referent must precede in the textual order. For example, you cannot refer to a variable unless you declared it somewhere above. Another general rule is that a module element belongs to the module where it appears, and, unless imported (Section \ref{sec:p2-import-decl}), it cannot be referred to in other modules. Different modules with the same name may be declared, but only the latest declaration is maintained. You cannot recover previous declarations. The system gives a warning when a previous declaration is discarded. Some modules are vital for the system to behave correctly. Those modules cannot be overwritten. There are other special modules, not so vital but worth a diligent protection. An example is a module that defines natural number arithmetic, called \verb|NAT| (cf. Chapter \ref{sec:p2-builtin-module}). You may remove the guard from those modules, by the command \begin{bsyntax} \texttt{unprotect} command \index{\texttt{unprotect}} \Hline \texttt{unprotect} \textit{module\_name} \end{bsyntax} For the reverse effect, you may use \begin{bsyntax} \texttt{protect} command \index{\texttt{protect}} \Hline \texttt{protect} \textit{module\_name} \end{bsyntax} which make it impossible to overwrite the given module. You may use this command to protect your own cherished modules. The following session illustrates the behaviour of the system. In this session, we only use the syntax introduced so far. \begin{vvtm} \begin{ccode} CafeOBJ> module TEST { } -- defining module TEST_* done. CafeOBJ> module TEST { } -- defining module TEST [Warning]: redefining module TEST _* done. CafeOBJ> protect TEST CafeOBJ> module TEST { } -- defining module TEST [Error]: module TEST is protected! CafeOBJ> unprotect TEST CafeOBJ> module TEST { } -- defining module TEST [Warning]: redefining module TEST _* done. CafeOBJ> \end{ccode} \end{vvtm} According to the syntax of module declarations, empty modules are allowed, as was the \verb|TEST| here. You are warned even if the unprotected \verb|TEST| is overwritten. Once under protection, \verb|TEST| cannot be redefined. Stripped of protection, it is subject to redefinition again. \section{Blocks in a Module}\label{sec:p2-blocks-in-mod} Module elements can be classified in three categories: (1) references to other modules, (2) signature definitions\index{signature}, and (3) axioms. It is possible to gather elements in each category into blocks. \index{block (of declarations)} References to other modules may be clustered by the following syntax. \begin{bsyntax} \texttt{imports} block \index{\texttt{imports}} \Hline \texttt{imports} ``\texttt{\{} \textit{module\_element} $*$ ``\texttt{\}}'' \end{bsyntax} where module elements are restricted to import declarations (Section \ref{sec:p2-import-decl}). Similarly, signature definitions and axioms may be clustered by \begin{bsyntax} \texttt{signature} block \index{\texttt{signature}} \Hline \texttt{signature} ``\texttt{\{} \textit{module\_element} $*$ ``\texttt{\}}'' \end{bsyntax} \begin{bsyntax} \texttt{axioms} block \index{\texttt{axioms}} \Hline \texttt{axioms} ``\texttt{\{} \textit{module\_element} $*$ ``\texttt{\}}'' \end{bsyntax} %% where module elements in a \verb|signature| block %% are restricted to declarations of sorts, %% operators, and records (Chapter \ref{sec:p2-signature}), %% while those in an \verb|axioms| block are restricted %% to declarations of variables, equations, and transitions %% (Chapter \ref{sec:p2-axioms}). where module elements in a \verb|signature| block are restricted to declarations of sorts and operators (Chapter \ref{sec:p2-signature}), while those in an \verb|axioms| block are restricted to declarations of variables, equations, and transitions (Chapter \ref{sec:p2-axioms}). \verb|imports|, \verb|signature|, and \verb|axioms| blocks may appear more than once in a single module. \verb|signature| may be abbreviated to \verb|sig|, and \verb|axioms| to \verb|axs|.\index{\texttt{sig}}\index{\texttt{axs}} These block constructs are for the sake of legibility, and have no semantic connotation. For example, \label{exs:simple-nat} \begin{vvtm} \begin{ccode} module SIMPLE-NAT { signature { [ Zero NzNat < Nat ] op 0 : -> Zero op s : Nat -> NzNat op _+_ : Nat Nat -> Nat } axioms { vars N N' : Nat eq 0 + N = N . eq s(N) + N' = s(N + N') . } } \end{ccode} \end{vvtm} is exactly the same module declaration as \begin{vvtm} \begin{ccode} module SIMPLE-NAT { [ Zero NzNat < Nat ] op 0 : -> Zero op s : Nat -> NzNat op _+_ : Nat Nat -> Nat vars N N' : Nat eq 0 + N = N . eq N + s(N') = s(N + N') . } \end{ccode} \end{vvtm} or minutely blocked \begin{vvtm} \begin{ccode} module SIMPLE-NAT { signature { [ Zero NzNat < Nat ] } signature { op 0 : -> Zero op s : Nat -> NzNat } signature { op _+_ : Nat Nat -> Nat } axioms { vars N N' : Nat } axioms { eq 0 + N = N . eq N + s(N') = s(N + N') . } } \end{ccode} \end{vvtm} \begin{warning} In inspecting modules by \verb|show| command (Section \ref{sec:p2-show-command}), you may notice that the system uses these block constructs, even if you did not supply them (cf. Chapter \ref{sec:p2-inspect-module}). \end{warning} \section{Tight Modules, Loose Modules}\label{sec:p2-obj-th} In \cafeobj, a module plays two different r{\^ o}les, depending on where it appears or what it contains. In one guise, a module denotes a unique (up to iso) model ({\em tight denotation}).\index{tight denotation} In the other, it denotes a class of models ({\em loose denotation}). \index{loose denotation} The latter is the case when a module is used as parameter (see Section \ref{sec:p2-parameter}); when it defines behavioural properties (Section \ref{sec:p2-hsort-beget-axs}), and so on. We do not go into the detail in this manual, but the distinction is very important. You should consult \cite{cafeobj-rep} or other technical materials at least once. Sometimes it is necessary or convenient to restrict the r{\^ o}le of a module. Alternative module declarations below allow you to do that. \begin{bsyntax} module for tight denotation \Hline \texttt{module!} \textit{module\_name} ``\texttt{\{} ~~~~\textit{module\_element} $*$ ``\texttt{\}}'' \end{bsyntax} \begin{bsyntax} module for loose denotation \Hline \texttt{module*} \textit{module\_name} ``\texttt{\{} ~~~~\textit{module\_element} $*$ ``\texttt{\}}'' \end{bsyntax} The syntax inside is the same as declarations that start with \verb|module|. When a module is declared with ``\verb|module!|'', it always denotes a unique model. When declared with ``\verb|module*|'', it always denotes a class of models. %\begin{warning} % There may be several syntactical criteria to decide which module % should or should not be a tight denotation or a loose denotation. % The current implementation is laissez-faire and % does not impose syntactic restrictions on ``\verb|module!|'' or % ``\verb|module*|''. %\end{warning} \section{Comment}\label{sec:p2-comment-syntax} A comment\index{comment} of \cafeobj~is one of the followings. \begin{itemize} \item[a.] From ``\texttt{**}'' to the end of line (eol).\index{\texttt{**}} \item[b.] From ``\texttt{**>}'' to the eol.\index{\texttt{**>}} \item[c.] From ``\texttt{--}'' to the eol.\index{\texttt{--}} \item[d.] From ``\texttt{-->}'' to the eol.\index{\texttt{-->}} \end{itemize} Comments may be inserted either between module declarations or between module elements. A comment that starts with ``\texttt{**>}'' or ``\texttt{-->}'' is displayed when it is input to the system. This facility is useful when a file is being read, or when you want to state the expected results of evaluations. For example, if you are excessively uneasy about what is going on, you may prepare a file that contains \begin{vvtm} \begin{ccode} **> immediately above TEST module TEST { --> just entered into TEST **> now sort declaration [ Elt ] -- this comment should be supressed **> sort declaration ended --> operator declaration starts op a : -> Elt -- this comment should be supressed --> operator declaration ended **> finishing TEST declarartion } --> finished! \end{ccode} \end{vvtm} and feed the file --- call it \kbd{test} here --- to the system. The result is as follows. \begin{vvtm} \begin{ccode} CafeOBJ> in test processing input : ./test.cafe **> immediately above TEST -- defining module TEST -- just entered into TEST. ** now sort declaration.. ** sort declaration ended. -- operator declaration starts.. -- operator declaration ended. ** finishing TEST declarartion._* done --> finished! CafeOBJ> \end{ccode} \end{vvtm} As shown above, ``\kbd{>}'' is stripped when the comment appeared within a module declaration. As an aside, you may have noticed a couple of ``\kbd{.}'''s in the system messages. These dots indicate that the system is running hard. More dots mean more labour. ``\kbd{\_}'' and ``\kbd{*}'' just before ``\kbd{done}'' were also from the system. \section{Import Declaration} \label{sec:p2-import-decl} An import declaration\index{import declaration} is [sic] to import declarations from another module. \begin{bsyntax} import declaration \Hline $\{$ \texttt{protecting $|$ extending $|$ using $|$ including} $\}$ ``('' \textit{module\_expression} ``)'' \end{bsyntax} \verb|protecting| etc. are called {\em importation mode\/}s, \index{importation mode} and indicate how to import the designated module. You may abbreviate the modes to \kbd{pr}, \kbd{ex}, \kbd{inc}, and \kbd{us} respectively. A module expression is a designation of a module, and is explained later (Section \ref{sec:p2-module-expression}). For the current purpose, it is enough to know that an individual module name is by itself a module expression. To illustrate the meaning of import declarations, here is a contrived example. \begin{vvtm} \begin{ccode} module BARE-NAT { [ Nat ] op 0 : -> Nat op s : Nat -> Nat } module BARE-NAT-AGAIN { protecting (BARE-NAT) } \end{ccode} \end{vvtm} The declaration of \kbd{BARE-NAT-AGAIN} is equivalent to \begin{vvtm} \begin{ccode} module BARE-NAT-AGAIN { [ Nat ] op 0 : -> Nat op s : Nat -> Nat } \end{ccode} \end{vvtm} i.e. it is a copy, a sad shadow, of \kbd{BARE-NAT}. Only the name is changed. To explain the precise meaning of importation modes, we have to delve into a model-theoretic theatre, which is situated outside of this manual. So let us offer only a cursory glance here. The modes state to what extent the intended models of the imported modules are preserved within those of the importing modules. Intuitively, when \kbd{M'} is imported, \begin{itemize} \item[-] \texttt{protecting}\index{\texttt{protecting}} is the strongest commandment. This mode requires all the intended models of \kbd{M'} be preserved as they are. \item[-] \texttt{extending}\index{\texttt{extending}} allows the models of \kbd{M'} to be inflated, but does not allow them to be collapsed. \item[-] \texttt{including}\index{\texttt{including}} does not introduce any restrictions. \item[-] \texttt{using}\index{\texttt{using}} simlilar to \kbd{including}, allows total destruction. \end{itemize} \begin{warning} To prove model-theoretic properties is very hard, and the system does not check whether indeed these restrictions are observed. It is on the user to choose correct modes. \end{warning} As a special case, a couple of built-in modules are implicitly imported with \kbd{protecting} mode. In particular, \kbd{BOOL}\index{\texttt{BOOL}} is of practical importance. It defines Boolean operators. It is imported to admit conditional axioms. You may prohibit implicit importation by \kbd{set} command, as\index{\texttt{set}} \index{\texttt{include} (\texttt{BOOL})} \begin{vvtm} \begin{ccode} CafeOBJ> set include BOOL off \end{ccode} \end{vvtm} but be careful: Boolean operators are indispensable to write conditional axioms (Section \ref{sec:p2-eq-decl-cond}), and an attempt to use them will cause errors if \kbd{BOOL} is not imported. Import declarations define a module hierarchy. We shall probe it later (Chapter \ref{sec:p2-module-hierarchies}). \chapter{Signature}\label{sec:p2-signature} A signature\index{signature} decides what is and is not a well-formed term (see Section \ref{sec:p2-wff-terms} for detail). A very basic definition would tell you that it consists of sort (name)s and operator (symbol)s paired with ranks. A signature for \cafeobj~is more elaborate. As briefly stated in the introductory chapter, \begin{itemize} \item The set of sorts may be partially ordered under inclusion, and \item There are two distinct kinds of sorts, with different concepts of equivalences. \end{itemize} These complications are reflected in the syntactic elements in several ways. \section{Sort Declaration}\label{sec:p2-sort-declaration} A sort\index{sort} is a set of classified elements, such as a set of designers, of supermodels, and of politicians. \cafeobj~has two kinds of sorts, hereafter called {\em visible sort\/}s and {\em hidden sort\/}s.\index{visible sort}\index{hidden sort} We leave it to you to decide whether the sort of politicians is visible or hidden. \subsection{Sort Declaration}\label{sec:p2-sort-decl-syntax} The simplest sort declaration is as follows. \begin{bsyntax} visible sort declaration \index{\texttt{[},\texttt{]} (visible sort declarations)} ``\texttt{[}'' \textit{list\_of\_sort\_names} ``\texttt{]}'' \end{bsyntax} A sort name is an arbitrary character sequence, and a list of sort names is a list of such names separated by blanks. For example, \begin{vvtm} \begin{ccode} [ Nat ] \end{ccode} \end{vvtm} declares a single visible sort \texttt{Nat}, while \begin{vvtm} \begin{ccode} [ Nat Int Rat ] \end{ccode} \end{vvtm} declares visible sorts \texttt{Nat}, \texttt{Int}, and \texttt{Rat}. By replacing ``\verb|[|'' and ``\verb|]|'' with ``\verb|*[|'' and ``\verb|]*|'' respectively, you get a hidden sort declaration. \begin{bsyntax} hidden sort declaration \Hline \index{\texttt{*[},\texttt{]*} (hidden sort declarations)} ``\texttt{*[}'' \textit{list\_of\_sort\_names} ``\texttt{]*}'' \end{bsyntax} In declaring operators (Section \ref{sec:p2-op-decl}) and axioms (Chapter \ref{sec:p2-axioms}), you have to distinguish visible sorts and hidden sorts. They give rise to different kinds of models, and are totally disjoint. Syntactically, you must not use the same name for both a visible and a hidden sort. \begin{warning} The current implementation simply ignores dual declarations. For example, in the presence of a visible sort \kbd{S}, the declaration \begin{ccode} [ S ] \end{ccode} is silently ignored. But declaring diffrent type produces a warning message, for example \begin{snugshade} \begin{ccode} CafeOBJ> module M { *[ S ]* [ S ] } -- defining module M [Warning]: declaring a visible sort "S", there already be a sort with the same name but of differenct type (visible/hidden). ...ignored.._* done. \end{ccode} \end{snugshade} \end{warning} \subsection{Subsort Declaration} You may define a partial order over sets of sorts, which is interpreted as set inclusion.\index{partial order (over sorts)} Such an order is denoted with ``\verb|<|''. If \verb|A < B|, we say \verb|A| is a {\em subsort}\index{subsort} of \verb|B|, and \verb|B| a {\em supersort}\index{supersort} of \verb|A|. To declare this relation, you use \begin{bsyntax} subsort declaration \index{\texttt{<}} \Hline ``\texttt{[}'' \textit{list\_of\_sort\_names} ``\texttt{<}'' \textit{list\_of\_sort\_names} $\{$ ``\texttt{<}'' \textit{list\_of\_sort\_names} $\}$ $*$ ``\texttt{]}'' ``\texttt{*[}'' \textit{list\_of\_sort\_names} ``\texttt{<}'' \textit{list\_of\_sort\_names} $\{$ ``\texttt{<}'' \textit{list\_of\_sort\_names} $\}$ $*$ ``\texttt{]*}'' \end{bsyntax} ``\verb|[|'', ``\verb|]|'' enclose visible sorts and ``\verb|*[|'', ``\verb|]*|'' hidden ones, as before. A list of sort names is as in a sort declaration, but it can be qualified (qualification is explained in Section \ref{sec:p2-naming-and-qualification}). The above syntax means that each sort in the first list is a subsort of each sort in the second, each sort in the second is a subsort of each sort in the third, and so on. Note that ``\verb|<|'', although looking a strict relation, is non-strict, and means ``less than or equal to'', or ``subset of or equal to''. For example, the usual inclusion of natural numbers \verb|Nat| into integers \verb|Int|, and \verb|Int| into rationals \verb|Rat|, may be written down as \begin{vvtm} \begin{ccode} [ Nat < Int < Rat ] \end{ccode} \end{vvtm} or \begin{vvtm} \begin{ccode} [ Int < Rat ] [ Nat < Int ] \end{ccode} \end{vvtm} or \begin{vvtm} \begin{ccode} [ Nat Int < Rat ] [ Nat < Int ] \end{ccode} \end{vvtm} For a briefer description, you may put more than one declarations within a single bracket pair, using commas for separation. For example, the last declarations above may be abbreviated to \begin{vvtm} \begin{ccode} [ Nat Int < Rat, Nat < Int ] \end{ccode} \end{vvtm} It is also possible to combine sort and subsort declarations into a single bracket pair, as \begin{vvtm} \begin{ccode} [ Nat Int Rat, Nat < Int < Rat ] \end{ccode} \end{vvtm} which is equivalent to \begin{vvtm} \begin{ccode} [ Nat Int Rat ] [ Nat < Int < Rat ] \end{ccode} \end{vvtm} \begin{warning} In subsort declarations, if new sort names appear, they are assumed to be declared implicitly. If \texttt{Nat}, \texttt{Int} and \texttt{Rat} have not been declared, therefore, \begin{vvtm} \begin{ccode} [ Nat < Int < Rat ] \end{ccode} \end{vvtm} and \begin{vvtm} \begin{ccode} [ Nat Int Rat, Nat < Int < Rat ] \end{ccode} \end{vvtm} are interpreted identically. Beware, especially, of mistyping upper/lower cases. For example, if you imported a sort \verb|Nat| and declared \begin{vvtm} \begin{ccode} [ NAT < Int ] \end{ccode} \end{vvtm} \verb|NAT| is regarded as a newly declared sort, not an imported one. \end{warning} It is abnormal for subsort relation to be circular, and if they were circular, you should not expect the system to behave correctly. Subsort relation is set inclusion, so circular relation means that all the sorts involved are the same. But \cafeobj~does not recomment such indirect ``renaming'', and may refuse to support this interpretation. % \begin{warning} % In general, checks on circularity are hard to implement efficiently, so % the system only checks obvious cases. If circularity is detected, you % are severely warned. % \end{warning} Note that it is impossible to make a visible sort a subsort of a hidden sort, or vice versa. You cannot put a hidden sort in plain brackets, nor a visible sort in asterisked brackets. This impossibility reflects the fact that visible sorts are disjoint from hidden sorts. \section{Operator Declaration}\label{sec:p2-operator} In traditional algebraic specification languages, an operator\index{operator} is a function, i.e. an unambiguous, static mapping. \cafeobj~extends the concept in two directions. An operator may {\em transform} an element into another. Such an operator is defined by transition relations (Section \ref{sec:p2-trans-decl}). Moreover, an operator may change an {\em internal state} of an element. Such an operator is defined from an observational viewpoint. \subsection{Operator Declaration}\label{sec:p2-op-decl} Like the other strongly-typed languages, \cafeobj~requires you to make explicit the domains and codomains of operators, and only allows terms constructed accordingly. Since \cafeobj~is order-sorted, however, well-formedness involves subtle considerations (see Section \ref{sec:p2-wff-terms}). In addition to domains and codomains, operator declarations determine term constructs. \cafeobj~allows you to employ various notations in writing terms, such as infix (e.g. $2 + 4$), prefix ($- 4$), and postfix ($2!$). Hence in declaring operators, you have a way to adopt your favourite notational practice. If you do not show any preference, you get a standard notation for function application. For example, given a (ternary) operator \verb|f|, a term thereof is constructed out of parenthesised, comma separated arguments, such as \verb|f(a,b,c)|. A declaration for such an operator is called {\em standard}. \begin{bsyntax} standard operator declaration \index{\texttt{op}} \Hline \index{standard operator declaration} \texttt{op} \textit{standard\_operator\_symbol} ``\texttt{:}'' \textit{list\_of\_sort\_names} ``\texttt{->}'' \textit{sort\_name} \end{bsyntax} A standard operator symbol is an arbitrary character string that does not contain an underbar ``\verb|_|''. A list of sort names is a blank-separated list and designates the arity\index{arity} of the operator. The sort name after ``\verb|->|'' designates its coarity\index{coarity}. Sort names in arities and coarities may be qualified (cf. Section \ref{sec:p2-naming-and-qualification}). The pair of the arity and the coarity is called the rank\index{rank} of the operator. An operator with the empty arity is a constant\index{constant}. \begin{warning} It is possible for a standard operator symbol to contain blanks. For example, in \begin{vvtm} \begin{ccode} op a constant of sort S : -> S \end{ccode} \end{vvtm} the whole ``\verb|a constant of sort S|'' is a symbol. More precisely, the system treats the symbol as a blank-separated list of non-blank character strings, and arbitrary numbers of blanks may be inserted. But parsing terms that contain such symbols tends to be erroneous, and you often have to enclose the symbol with parentheses. For this reason, it is advisable not to use blanks, unless your aesthetics so forces. \end{warning} If not standard, a declaration is called {\em mixfix}. \begin{bsyntax} mixfix operator declaration \Hline \index{mixfix operator declaration} \texttt{op} \textit{mixfix\_operator\_symbol} ``\texttt{:}'' \textit{list\_of\_sort\_names} ``\texttt{->}'' \textit{sort\_name} \end{bsyntax} A mixfix operator symbol may contain underbars. Arities and coarities are the same as in standard operator declarations. In fact, the only difference from standard declarations is the presence of underbars. Underbars reserve the places where arguments are inserted. The leftmost underbar is for the first argument, the next leftmost the second, and so on. The number of underbars must match the number of sort names in the arity. \begin{warning} The single underbar cannot be an operator symbol; it would introduce invisible operator applications. Such a declaration is ignored, and you are ridiculed by the system. \end{warning} For example, addition is usually written in the infix notation. Declare \begin{vvtm} \begin{ccode} op _+_ : Nat Nat -> Nat \end{ccode} \end{vvtm} and terms such as ``\texttt{N + M}'', ``\texttt{s(0) + N}'' are admissible. Another representative example is a conditional expression. \begin{vvtm} \begin{ccode} op if_then_else_fi : Bool Nat Nat -> Nat \end{ccode} \end{vvtm} According to the definition, this declaration allows you to write \begin{vvtm} \begin{ccode} if N < M then N else M fi \end{ccode} \end{vvtm} and \begin{vvtm} \begin{ccode} if true then 0 else s(0) fi \end{ccode} \end{vvtm} Since \cafeobj~allows operator overloading, it is possible to use the same operator symbol for different operators. For example, the symbol \verb|_+_| may be overloaded as follows. \begin{vvtm} \begin{ccode} op _+_ : Nat Nat -> Nat op _+_ : Set Set -> Set \end{ccode} \end{vvtm} An operator symbol, whether standard or mixfix, does not only define term constructs, but acts as an operator name. What an operator name refers to is a nontrivial question, due to overloading possibilities (see Section \ref{sec:p2-operator-reference} for detail). You can declare several operators simultaneously, if they have exactly the same rank: use \verb|ops| instead of \verb|op|, as\index{\texttt{ops}} \begin{vvtm} \begin{ccode} ops (_+_) (_*_) : Nat Nat -> Nat \end{ccode} \end{vvtm} which means the same as \begin{vvtm} \begin{ccode} op _+_ : Nat Nat -> Nat op _*_ : Nat Nat -> Nat \end{ccode} \end{vvtm} Note that, in simultaneous declarations, parentheses are sometimes necessary to separate operator symbols. \begin{warning} A general advice: if you are in doubt, enclose with parentheses. Parentheses help you avoid many parsing ambiguities. \end{warning} \subsection{Behavioural Operator Declaration}\label{sec:p2-beh-op-decl} For hidden sorts, you need a special kind of operators, called {\em behavioural operator\/}s.\index{behavioural operator} \begin{bsyntax} behavioural operator declaration \index{\texttt{bop}} \Hline \texttt{bop} \textit{standard\_operator\_symbol} ``\texttt{:}'' \textit{list\_of\_sort\_names} ``\texttt{->}'' \textit{sort\_name} \texttt{bop} \textit{mixfix\_operator\_symbol} ``\texttt{:}'' \textit{list\_of\_sort\_names} ``\texttt{->}'' \textit{sort\_name} \end{bsyntax} Standard operator symbols, mixfix operator symbols, lists of sort names and sort names are as in \verb|op| in the previous section. It is required that \begin{itemize} \item The arity of a behavioural operator contain exactly one hidden sort. \end{itemize} Intuitively, you may regard a hidden sort as consisting of objects, which have internal states. Then a behavioural operator is an {\em attribute}\index{attribute} or a {\em method}\index{method}, if you really, really want to adopt the parlance of a certain community. As an illustration, consider bank account objects, whose balances change upon deposits and withdrawals. \begin{vvtm} \begin{ccode} *[ Account ]* bop deposit : Account Nat -> Account bop withdraw : Account Nat -> Account bop balance : Account -> Nat \end{ccode} \end{vvtm} Here \verb|deposit|, \verb|withdraw| are operations that modify internal states --- balances --- of accounts (so they are methods), while \verb|balance| reads the current balances of accounts (so an attribute). The above intuition tells you why a behavioural operator should have exactly one hidden sort in its arity. It does not make sense to retrieve attributes from two objects. And it is nonsense to talk about attributes of nothing. Technically, behavioural operators, and only them, make behavioural contexts (see Section \ref{sec:p2-hsort-beget-axs}). There is a counterpart to \verb|ops|, with which you may declare several behavioural operators at once. Two of the above declarations may be replaced by\index{\texttt{bops}} \begin{vvtm} \begin{ccode} bops deposit withdraw : Account Nat -> Account \end{ccode} \end{vvtm} Note that an operator symbol may be overloaded among behavioural operators, and/or among the mixture of usual and behavioural operators. Note further that a non-behavioural operator declaration with \verb|op| is {\em not} required to contain or not to contain hidden sorts. You may declare non-behavioural operators on hidden sorts, as \begin{vvtm} \begin{ccode} op deposit : Account Nat -> Account \end{ccode} \end{vvtm} The effects are, however, very different. Do take care. \subsection{Predicate Declaration}\label{sec:p2-pred-decl} A {\em predicate}\index{predicate}, in \cafeobj, is nothing more than an operator which has a special sort \verb|Bool| as its coarity. This sort is contained in the module \verb|BOOL|, which is imported everywhere (Section \ref{sec:p2-import-decl}). \verb|Bool| is important in several respects, and is accorded a privilege by the following shorthand constructs. \begin{bsyntax} predicate declaration \index{\texttt{pred}} \Hline \texttt{pred} \textit{standard\_operator\_symbol} ``\texttt{:}'' \textit{list\_of\_sort\_names} \texttt{pred} \textit{mixfix\_operator\_symbol} ``\texttt{:}'' \textit{list\_of\_sort\_names} \end{bsyntax} Operator symbols etc. are as in operator declarations. Predicate declarations are equivalent to operator declarations with coarity \verb|Bool|. For example, \begin{vvtm} \begin{ccode} pred _<_ : Nat Nat \end{ccode} \end{vvtm} has the same meaning as \begin{vvtm} \begin{ccode} op _<_ : Nat Nat -> Bool \end{ccode} \end{vvtm} \begin{warning} The system does not distinguish predicates as such. You should think of them as mere shorthands. Nothing more. \end{warning} To complete the picture, \verb|bpred| is a shorthand of \verb|bop| with coarity \verb|Bool|. \begin{bsyntax} behavioural predicate declaration \index{\texttt{bpred}} \Hline \texttt{bpred} \textit{standard\_operator\_symbol} ``\texttt{:}'' \textit{list\_of\_sort\_names} \texttt{bpred} \textit{mixfix\_operator\_symbol} ``\texttt{:}'' \textit{list\_of\_sort\_names} \end{bsyntax} \section{Terms}\label{sec:p2-terms} \subsection{Well-formed Terms}\label{sec:p2-wff-terms} As well as adopting arbitrary notational practices, you may use the same notation to denote different operators, such as $1 + 2$ for addition and $\{ a \} + \{ a, b \}$ for direct sum. These flexibilities greatly enhance the legibility of \cafeobj~codes, and we believe it worthwhile to support them. One disadvantage of this liberty is the extra amount of processing time in parsing terms. Another, and more important, problem is that a term may be parsed in more than one ways. We make recourse to the following definition. \begin{quote} A term is {\em well-formed}\index{well-formed term} iff it has exactly one least parse tree. \end{quote} Several parse trees are okay, so long as all of them are of related sorts, and one of them has a {\em least sort}.\index{least sort} The least sort is the smallest set to which the element belongs. Dual membership is a seed of troubles, just as dual marriage is. A signature is {\em regular}\index{regular signature} iff all the terms have least sorts, and a module is regular iff its signature is. With the above observations in mind, you understand this is an important property. \cafeobj~has a mechanism to regularise signatures. To invoke this mechanism, you may use \begin{bsyntax} \texttt{regularize} command \index{\texttt{regularize}} \Hline \texttt{regularize} \textit{module\_name} \end{bsyntax} or set a switch for automatic invocation to \verb|on| by\index{\texttt{set}} \index{\texttt{signature}} \begin{vvtm} \begin{ccode} CafeOBJ> set regularize signature on \end{ccode} \end{vvtm} \index{\texttt{signature}} The default is \verb|off|. To regularise a signature, additional sorts and operator declarations may be declared. These addidions ensure the existence of ``lowest'' operators. For a trivial example, in \begin{vvtm} \begin{ccode} module INTB { [ NonPos Nat < Int ] op 0 : -> NonPos op 0 : -> Nat } \end{ccode} \end{vvtm} \label{exs:intb} the constant \verb|0| belongs both to \verb|NonPos| and to \verb|Nat|. In general it is possible to overload constants, there is a way to distinguish them (see Section \ref{sec:p2-parsing-qualifier}), and there is no harm in that. But in this example, since \verb|NonPos| and \verb|Nat| are both subsorts of \verb|Int|, the constant must in fact denote the same element. As a consequence, the term \verb|0| does not have a least parse (even qualified, as in Section \ref{sec:p2-parsing-qualifier}). A remedy is to add a common subsort of \verb|NonPos| and \verb|Nat|, and declare \verb|0| of that sort. Using \verb|regularize| command, you do get a module modified along this line: \begin{vvtm} \begin{ccode} module INTB { [ NonPos^Nat < NonPos Nat < Int ] op 0 : -> NonPos op 0 : -> Nat op 0 : -> NonPos^Nat } \end{ccode} \end{vvtm} Two old declarations of \verb|0| are redundant by now, but system does not remove these \verb|0|s in automatic. % \begin{warning} % The current version does not remove redundant \verb|0|'s. % \end{warning} More generally, the system searches for operators that may create terms with no least parse, and declare such operators on least sorts after, if necessary, adding new common subsorts. What the system checks is a sufficient, but {\em not} necessary, condition. There are cases the system is overprotective. As an example, consider \begin{vvtm} \begin{ccode} module INTB' { [ NonPos Nat < Int ] op _+_ : NonPos NonPos -> NonPos op _+_ : Nat Nat -> Nat op _+_ : Int Int -> Int op 1 : -> Nat op -1 : -> NonPos } \end{ccode} \end{vvtm} \label{exs:intb'} \verb|INTB'| is regular: a term is of the form of a binary tree where all the nodes contain \verb|+| and all the leaves contain \verb|1| or \verb|-1|, and is of sort \verb|NonPos| iff every leaf is \verb|-1|, of sort \verb|Nat| iff every leaf is \verb|1|, and of sort \verb|Int| iff otherwise. If you invoke \verb|regularize| command, however, you get a modified module: \begin{vvtm} \begin{ccode} module INTB' { [ NonPos^Nat < NonPos Nat < Int ] op _+_ : NonPos^Nat NonPos^Nat -> NonPos^Nat op _+_ : NonPos NonPos -> NonPos op _+_ : Nat Nat -> Nat op _+_ : Int Int -> Int op 1 : -> Nat op -1 : -> NonPos } \end{ccode} \end{vvtm} The reason is as follows. If \verb|Nat|, \verb|NonPos| are both inhabited, there is a danger that their intersection is not empty. If it is indeed non-empty, an application of ``\verb|_+_|'' on any terms in it creates a term both of sort \verb|Nat| and of \verb|NonPos|. So it is safe to add a new common subsort, and declare ``\verb|_+_|'' on it. To check the non-emptiness is too hard to solve mechanically. For example, if you insert an equation (Section \ref{sec:p2-equation-decl}) \begin{vvtm} \begin{ccode} eq 1 = -1 . \end{ccode} \end{vvtm} into \verb|INTB'|, there does exist an element, namely \verb|1| (or \verb|-1|), which belongs to both \verb|NonPos| and \verb|Nat|. Thus a general solution requires a complete equational calculus, which is beyond the power of \cafeobj. It is for this reason that the system always bets on the safer side, even if the results are dull: the system (and you) will not lose a penny, since the modified module has exactly the same model(s) as before (when you take reducts). If one of \verb|NonPos| or \verb|Nat| were empty, the system would have done nothing. For example, if you delete the declaration \begin{vvtm} \begin{ccode} op 1 : -> Nat \end{ccode} \end{vvtm} from \verb|INTB'|, \verb|Nat| is not inhabited any more: the system adds nothing this time. For those who only want to be warned of the danger, it is also possible just to check if the signature is regular (cf. Section \ref{sec:p2-check-command}). \subsection{Parsing Terms}\label{sec:p2-parsing-qualifier} As suggested above, a symbol sequence may be parsed in more than one ways. A salient example is a constant symbol. With the two declarations below, \verb|empty| is a term both of \verb|Stack| and \verb|Set|. \begin{vvtm} \begin{ccode} op empty : -> Stack op empty : -> Set \end{ccode} \end{vvtm} In such cases, you have to supply additional information by qualification. Other ambiguities may be eliminated by parentheses. Let us see a couple of examples. To see whether a term is unambiguous, the following command is handy. \begin{bsyntax} parsing command \index{\texttt{parse}} \Hline \index{\texttt{.} (term stopper)} \texttt{parse} $[$\texttt{in} \textit{module\_expression} ``\texttt{:}''$]$ \textit{term} ``\texttt{.}'' \end{bsyntax} If \verb|in| option is omitted, the current module\index{current module} (cf. Section \ref{sec:p2-current-module}) is assumed. Module expressions are explained in Section \ref{sec:p2-module-expression}. It is enough here to know that a module name is a module expression. \begin{warning} Do not forget the last period, preceded by a blank. This is the only way for the system to detect the end of a term: usual parsing techniques would not do, due to flexible term constructs. The same convention is used in other commands and declarations. \end{warning} To see how this command works, here is an example where an ambigouous term is parsed. \label{exs:simple-int} \begin{vvtm} \begin{ccode} module SIMPLE-INT { protecting (SIMPLE-NAT) [ Nat NegInt < Int ] op -_ : NzNat -> NegInt op _+_ : Int Int -> Int op _-_ : Int Int -> Int op s : Int -> Int vars M M' : Int } \end{ccode} \end{vvtm} The above module gives a signature for integer operations (\verb|SIMPLE-NAT| was in Section \ref{exs:simple-nat}). \verb|vars| declares variables (Section \ref{sec:p2-variable-decl}). After declaring the above module, you may get a session like %\newpage \begin{vvtm} \begin{ccode} CafeOBJ> parse in SIMPLE-INT : M - M' - s(0) . [Warning]: Ambiguous term: please try `check regularity' command. if the signature is regular, there possibly be some name conflicts between operators and variables. [1] _-_ : Int Int -> Int ------------------------((M:Int - M':Int) - s(0)) [2] _-_ : Int Int -> Int ------------------------(M:Int - (M':Int - s(0))) [Error] no successful parse ("ambiguous term"):SyntaxErr \end{ccode} \end{vvtm} If you \kbd{set} a switch \kbd{verbose} to \kbd{on}, you see a more visible tree structure of possible parses like \begin{vvtm} \begin{ccode} CafeOBJ> set verbose on CafeOBJ> parse in SIMPLE-INT : M - M' - s(0) . [Warning]: Ambiguous term:* Please select a term from the followings: [1] _-_ : Int Int -> Int -------------------------------------------- _-_:Int / \ _-_:Int s:NzNat / \ | M:Int M':Int 0:Zero [2] _-_ : Int Int -> Int -------------------------------------------- _-_:Int / \ M:Int _-_:Int / \ M':Int s:NzNat | 0:Zero [Error] no successful parse ("ambiguous term"):SyntaxErr CafeOBJ> \end{ccode} \end{vvtm} If the term is ambiguous, as in this example, the system gives a warning, as showed in the above. And if you \kbd{set} switch \kbd{select term} to \kbd{on}, you have an option to select a parse from possible choces. \begin{vvtm} \begin{ccode} CafeOBJ> set verbose off CafeOBJ> set select term on CafeOBJ> parse in SIMPLE-INT : M - M' - s(0) . [Warning]: Ambiguous term: please try `check regularity' command. if the signature is regular, there possibly be some name conflicts between operators and variables. * Please select a term from the followings: [1] _-_ : Int Int -> Int ------------------------((M:Int - M':Int) - s(0)) [2] _-_ : Int Int -> Int ------------------------(M:Int - (M':Int - s(0))) * Please input your choice (a number from 1 to 2, default is 1)? 2 Taking the second as correct. (M - (M' - s(0))):Int CafeOBJ> \end{ccode} \end{vvtm} The number after the message ``\verb|*| \verb|Please ...|'' is your input. \begin{warning} The system is impatient. If you hesitate long, it automatically selects the default (in the above case, \verb|1|). \end{warning} The result of the parsing was \begin{vvtm} \begin{ccode} (M - (M' - s(0))) : Int \end{ccode} \end{vvtm} where the term is parenthesised to reveal connectivity. \verb|Int| on the right of ``\verb|:|'' is its least sort. \subsection{Qualifying Terms}\label{sec:p2-qualifying-terms} Ambiguity that arises from operator connectivity, e.g. \begin{vvtm} \begin{ccode} M - M' - s(0) \end{ccode} \end{vvtm} above, can be eliminated by parentheses. On the other hand, ambiguity caused by overloading cannot be so easily eliminated. It requires additional sort information. Hence term qualification\index{term qualification}, as \index{qualified term} \begin{bsyntax} sort-qualified term \Hline ``\texttt{(}'' \textit{term} ``\texttt{)}'' ``\texttt{:}'' \textit{sort\_name} \end{bsyntax} \begin{warning} This version, unlike former versions, allows blanks around ``\texttt{:}''. The following terms are all valid and parsed as the same. \begin{vvtm} \begin{ccode} (empty):Stack (empty): Stack (empty) :Stack (empty) : Stack \end{ccode} \end{vvtm} \end{warning} \begin{warning} Be sure to put parentheses around the qualified. \cafeobj~allows inline variable declarations, such as \begin{vvtm} \begin{ccode} M:Nat - s(0) \end{ccode} \end{vvtm} where \verb|M| is regarded (at this place only) as a variable of sort \verb|Nat|. Without parentheses, e.g. \begin{vvtm} \begin{ccode} empty:Stack \end{ccode} \end{vvtm} is regarded as a new variable! \end{warning} For example, consider the following module declarations. \begin{vvtm} \begin{ccode} module OCTAL { [ OctalDigit ] ops 0 1 2 3 4 5 6 7 : -> OctalDigit } module HEX { [ HexDigit ] ops 0 1 2 3 4 5 6 7 8 9 : -> HexDigit ops A B C D E F : -> HexDigit } module HEX+OCTAL { protecting (OCTAL) protecting (HEX) } \end{ccode} \end{vvtm} Since \verb|HEX+OCTAL| contains declarations either in \verb|OCTAL| or in \verb|HEX|, the digits \verb|0| through \verb|7| are ambiguous there: they are constants both of \verb|OctalDigit| and \verb|HexDigit|. Indeed, try parsing \verb|0| and you get a warning. \begin{vvtm} \begin{ccode} CafeOBJ> parse in HEX+OCTAL : 0 . [Warning]: Ambiguous term: please try `check regularity' command. if the signature is regular, there possibly be some name conflicts between operators and variables. [1] 0 : -> HexDigit --------------------------------0 [2] 0 : -> OctalDigit ----------------------------0 [Error] no successful parse ("ambiguous term"):SyntaxErr CafeOBJ> \end{ccode} \end{vvtm} To eliminate this ambiguity, you may qualify by sorts. Try again with \begin{vvtm} \begin{ccode} CafeOBJ> parse in HEX+OCTAL : (0):OctalDigit . \end{ccode} \end{vvtm} and the system will oblige with \begin{vvtm} \begin{ccode} 0 : OctalDigit \end{ccode} \end{vvtm} %% \section{Record Declaration}\label{sec:p2-record-declaration} %% A {\em record} declaration\index{record declaration} defines a record-type %% data structure. A record type consists of fields, and an element of the %% type is completely determined by the value of each field. %% In \cafeobj, a field is called {\em slot}\index{slot}. %% \subsection{Plain Record Declaration}\label{sec:p2-plain-record-decl} %% A record declaration without inheritance (see the next section) is as %% follows. %% \begin{bsyntax} plain record declaration \index{\texttt{record}} \Hline %% \texttt{record} \textit{record\_name} ``\texttt{\{}'' \textit{list\_of\_slot\_declarations} ``\texttt{\}}'' %% \end{bsyntax} %% where a list of slot declarations is a blank-separated list. %% A slot declaration has the following construct. %% \begin{bsyntax} slot declaration \Hline %% \textit{slot\_name} ``\texttt{:}'' \textit{sort\_name} %% \end{bsyntax} %% where a slot name is a character string and a sort name is %% the name of an already declared sort. For example, if \verb|Nat| %% is a sort of natural numbers with usual digit notations, %% \begin{vvtm} %% \begin{ccode} %% record Date { %% year : Nat %% month : Nat %% day : Nat %% } %% \end{ccode} %% \end{vvtm} %% is a sloppy definition of records that consist of years, months, and days. %% (Sloppy because it admits e.g. 554/32/1984 as a date.) %% In ordinary programming languages, once a record is declared, %% notation/functions to access fields are automatically determined. %% The dotted notation \verb|d.day|, where \verb|d| is a record variable %% and \verb|day| is a field name, is typical. %% \cafeobj~also provides access functions. In fact, a record is nothing more %% than a special sort. The effects of a record declaration are as follows. %% \begin{itemize} %% \item A sort with the record name is declared. A record is a sort, %% so the name can appear wherever a sort name can. %% \item A mixfix operator is declared, so that a term of the form %% \begin{vvtm} %% \begin{ccode} %% record-name { slot-name1 = value1, slot-name2 = value2, ... } %% \end{ccode} %% \end{vvtm} %% is an element of \verb|record-name|. %% Using the above example, %% \begin{vvtm} %% \begin{ccode} %% Date { year = 1984, month = 1, day = 1 } %% \end{ccode} %% \end{vvtm} %% is a term of sort \verb|Date|. Moreover, the slot-value pairs %% in the braces may be written in whatever order, and you may even %% omit some of them. Thus %% \begin{vvtm} %% \begin{ccode} %% Date { month = 1, day = 1, year = 1984 } %% Date { year = 1984 } %% \end{ccode} %% \end{vvtm} %% are well-formed terms of sort \verb|Date|. Note that \verb|Date| in %% these terms is part of an operator symbol, not the sort name %% which happens to be the same character string. %% \item For each slot, two access functions are declared and defined. %% In case of \verb|Date|, it is as if the declarations %% \begin{vvtm} %% \begin{ccode} %% op year : Date -> Nat %% op set-year : Date Nat -> Date %% -- similarly for month and day %% \end{ccode} %% \end{vvtm} %% are given. Accordingly, to get the value of \verb|year| slot %% from a term \verb|d| of sort \verb|Date|, you can write \verb|year(d)|; %% and to set the slot to \verb|y|, write \verb|set-year(d,y)|. %% \end{itemize} %% Strictly speaking, since the definitions of access functions are by %% axioms (axioms are to be explained in Chapter \ref{sec:p2-axioms}), a %% record declaration involve axioms as well as signatures. %% You may investigate all the above effects by \verb|show| command %% (cf. Section \ref{sec:p2-record-inspection}). %% \subsection{Inheriting Records}\label{sec:p2-record-inheritance} %% You can extend a record to create a new record. %% The same access functions can be used as before. %% The process of extending a record is called %% {\em record inheritance}\index{record inheritance}, %% {\` a} la peculiar parlance of some community, and %% is denoted by the following construct. %% \begin{bsyntax} record declaration with inheritance \index{\texttt{record}} \Hline %% \texttt{record} \textit{record\_name} ``\texttt{[}'' \textit{list\_of\_upper\_records} ``\texttt{]}'' ``\texttt{\{}'' \textit{list\_of\_slot\_declarations} ``\texttt{\}}'' %% \end{bsyntax} %% A list of slot declarations is as in a plain record declaration. %% A list of upper records is comma-separated. An upper record is of %% the form %% \begin{bsyntax} upper record \Hline %% \textit{record\_name} $[$``\texttt{*}'' ``\texttt{(}'' \textit{slot\_mapping} ``\texttt{)}''$]$ %% \end{bsyntax} %% where a slot mapping is %% \begin{bsyntax} slot mapping \Hline %% \textit{slot\_name} ``\texttt{->}'' \textit{slot\_name} $\{$ ``\texttt{,}'' \textit{slot\_name} ``\texttt{->}'' \textit{slot\_name} $\}$ $*$ %% \end{bsyntax} %% where slot names before ``\verb|->|'' must be the ones belonging to the %% given record, while names after ``\verb|->|'' are arbitrary (so long as %% not conflicting). %% Under a record declaration with inheritance, %% the newly declared record inherits all the slots from %% the upper records. Slot mappings, which specify renaming, %% are to be used to avoid name conflicts. %% \cafeobj~does not allow slots of the same name to be inherited %% twice. If there is no conflict, slot mappings may be omitted. %% An %boring %% example of inheritance, using \verb|Date| of the previous %% section, is %% \begin{vvtm} %% \begin{ccode} %% record Time [ Date ] { %% hour : Nat %% minute : Nat %% } %% \end{ccode} %% \end{vvtm} %% This code declares \verb|Time| to have slots \verb|year|, \verb|month|, %% and \verb|day|, as well as \verb|hour| and \verb|minute|. %% Access functions \verb|year|, \verb|set-year|, and so on are %% applicable to terms of \verb|Time| exactly as they are %% to those of \verb|Date|. %% The effects of the declaration are equivalent to %% \begin{vvtm} %% \begin{ccode} %% record Time { %% year : Nat %% month : Nat %% day : Nat %% hour : Nat %% minute : Nat %% } %% \end{ccode} %% \end{vvtm} %% Here is another example, which needs slot renaming. %% \begin{vvtm} %% \begin{ccode} %% record Week { %% day : Nat %% } %% record Time' %% [ Date * ( day -> day-of-the-month ), Week * ( day -> day-of-the-week ) ] %% { %% hour : Nat %% minute : Nat %% } %% \end{ccode} %% \end{vvtm} %% Since \verb|day| was the slot name of both \verb|Date| and \verb|Week|, %% each slot was accorded a more accurate, distinct name. \chapter{Axioms}\label{sec:p2-axioms} \cafeobj~inherits the essences of algebraic specification techniques, where axioms are given as equations. Several extensions, however, lead to the following complications. (1) Equations may be conditional. (2) Not only equations, but transitions are available. (3) Visible sorts and hidden sorts demand different kinds of equivalences, so that, as well as ordinary equations, behavioural equations are available. All of these extensions are orthogonal, as witnessed by $8 = 2^3$ syntatical constructs. \section{Variable Declaration}\label{sec:p2-variable-decl} Axioms require representations of classes of elements, as well as specific elements. You have to be able to say, e.g., that the successor of {\em any} natural number is greater than that number. A {\em variable}\index{variable} represents this ``any''. In \cafeobj, every variable belongs to a sort, and represents an arbitrary term of that sort. Variables are declared as follows. \begin{bsyntax} variable declaration \index{\texttt{var}}\index{\texttt{vars}} \Hline \texttt{var} \textit{ariable\_name} ``\texttt{:}'' \textit{sort\_name} \texttt{vars} \textit{list\_of\_variable\_names} ``\texttt{:}'' \textit{sort\_name} \end{bsyntax} A variable name is a character string, and a list of variable names is blank-separated. Here is an example. \begin{vvtm} \begin{ccode} var N : Nat vars A B C : Nat \end{ccode} \end{vvtm} \begin{warning} In former versions, \verb|var| and \verb|vars| are interchangeable. This version becomes linguistically more strict. \verb|var| is for exactly one variable, while \verb|vars| is for one or more variables. \end{warning} \begin{warning} In former versions, commas could be used as separators, so that the above declaration may be replaced with \begin{vvtm} \begin{ccode} vars A, B, C : Nat \end{ccode} \end{vvtm} But this construct no longer works: the system would regard \verb|,| as another variable. \end{warning} A simple way to know the typing discipline of a language is to see variable declarations. \cafeobj~adopts a {\em strong typing} \index{strong typing} discipline, in that each variable has a syntactically determined type (sort). Another point of view comes from the definition of well-formedness. A term is well-formed iff it has a unique least parse (Section \ref{sec:p2-wff-terms}). A variable is a term. Hence it must have a unique least sort, the sort given in the declaration. The scope of a variable is within the module where it is declared, or more precisely, in the rest of the module after the declaration. For example, \begin{vvtm} \begin{ccode} module M { [ S ] op f : S -> S -- axioms using X -- a. var X : S -- axioms using X -- b. } \end{ccode} \end{vvtm} would be an error, if you put axioms in \verb|a.| involving \verb|X|. The correct place for such axioms is \verb|b.| It is illegal to declare a variable of the same name for different sorts. (And it is meaningless to re-declare the variable for the same sort.) Sometimes it is % b.c.b.g.\footnote{ % Bon chic, bon genre. % } convenient to use common variable names, such as \verb|X|, for different sorts. And sometimes it is economical to use an ephemeral variable, valid only to the place where it appears. For these reasons, another construct for variable declaration is available. \begin{bsyntax} variable declaration on the fly \Hline \textit{variable\_name}``\texttt{:}''\textit{sort\_name} \end{bsyntax} \begin{warning} Do not insert blanks on either side of the colon. \begin{vvtm} \begin{ccode} N: Nat \end{ccode} \end{vvtm} or \begin{vvtm} \begin{ccode} N :Nat \end{ccode} \end{vvtm} is unacceptable. Only \verb|N:Nat| will do. \end{warning} The following session illustrates the utility of declarations of this form. Recall from Section \ref{exs:simple-int} a module called \verb|SIMPLE-INT|. \begin{vvtm} \begin{ccode} CafeOBJ> parse in SIMPLE-INT : X:Int - s(0) . (X - s(0)) : Int CafeOBJ> \end{ccode} \end{vvtm} The variable \verb|X| was declared on the fly. If you only want to check syntactic ambiguity, it is a bother to declare variables separately, just for that purpose. The system treats an ephemeral variable declaration as a term --- nothing more, nothing less ---, so you can declare on the fly wherever you can write a term. For the exact scope of on-the-fly declarations, see the next section. \section{Equation Declaration} \subsection{Unconditional Equation Declaration}\label{sec:p2-equation-decl} A plain equation is an axiom. Anticipating conditional cases, we call it {\em unconditional}.\index{unconditional equation} \begin{bsyntax} unconditional equation declaration \index{\texttt{eq}} \Hline \index{\texttt{=} (in equations)} \texttt{eq} $[$\textit{label}$]$ \textit{term} ``\texttt{=}'' \textit{term} ``\texttt{.}'' \end{bsyntax} The last period, preceded by a blank, is a must. It is the way to notify the system of the end of a term. ``\verb|=|'' separates the lefthand side from the righthand. \begin{warning} ``\verb|=|'' in equations is used by the system to detect the end (and start) of a term. You should supply blanks on both ends, as in \begin{vvtm} \begin{ccode} eq X + 0 = X . \end{ccode} \end{vvtm} Without blanks, the system thinks the lefthand side is continuing. For example, \begin{vvtm} \begin{ccode} eq X + 0= X . \end{ccode} \end{vvtm} causes the system to treat the entire text after \verb|eq| (and the subsequent text, until it encounters a lonely ``\verb|=|'') as the term on the lefthand side. \end{warning} Since an equation is a statement that the two sides are equal, they must belong to a common universe of discourse. For example, to say that Marie Antoinette equals 3.1416 is nonsense\footnote{ Or are they both pie? }. In many-sorted logic, this consideration is formalised as ``two terms must be of the same sort''. \cafeobj, which is based on order-sorted logic, is more accommodating: \begin{quote} The sorts of the terms must belong to the same connected component (in the graph defined by the sort ordering). \end{quote} Accordingly, $1$ may be equal to $1.0$, to $2/2$, to $\sqrt 1$, and to $0i + 1$ (under the usual number hierarchy). We also require that \begin{quote} The terms be of visible sorts. \end{quote} For terms of hidden sorts, behavioural equations (Section \ref{sec:p2-beh-eq-decl}) should be used. Labels do not affect the semantics, and may be omitted. If not omitted, it must be of the form \begin{bsyntax} label in axioms \Hline ``\/\texttt{[}'' \textit{label\_name} ``\texttt{]}'' ``\texttt{:}'' \end{bsyntax} where a label name is a character string without blanks. Since most non-trivial equations involve variables, and since unambiguous parsing is a non-trivial question, in examples below we put variable declarations near equation declarations. To state that \verb|0| is a right identity of addition, you may write \begin{vvtm} \begin{ccode} var N : Nat eq [ r-id ] : N + 0 = N . \end{ccode} \end{vvtm} or, using an on-the-fly declaration, \begin{vvtm} \begin{ccode} eq [ r-id ] : N:Nat + 0 = N . \end{ccode} \end{vvtm} Look at the second occurrence of \verb|N| in this equation. In general, the scope of an on-the-fly declaration is the whole enclosing term (or more precisely, in the rest of the term). For example, the second \verb|N| of \begin{vvtm} \begin{ccode} N:Nat + s(N) \end{ccode} \end{vvtm} is the same \verb|N| as declared on the fly, since they are both in the same term. As a special rule, a variable declared within an axiom is valid throughout that axiom. The above equation illustrates this special rule. On-the-fly declarations may overwrite the previous declarations. For example, in \begin{vvtm} \begin{ccode} module S { [ S T ] op f : S -> S var X : T eq f(f(X:S)) = f(X) . } \end{ccode} \end{vvtm} the variable \verb|X| was declared as of sort \verb|T|, but re-declared on the fly as of sort \verb|S|. Remember that overwriting variable declarations {\em terra firma} are illegal (Section \ref{sec:p2-variable-decl}). On-the-fly declarations are not subject to this prohibition. Moreover, on-the-fly declarations may themselves be overwritten. The following example uses \verb|X| first as of sort \verb|S|, then as of \verb|T|. \begin{vvtm} \begin{ccode} module S { [ S T ] op f : S T -> T eq f(X:S,X:T) = X . } \end{ccode} \end{vvtm} \begin{warning} In spite of the above remark, it is advisable not to overwrite on-the-fly's by on-the-fly's. It would easily lead to confusion. Accordingly, the system gives a warning when it encounters such cases. \end{warning} \subsection{Conditional Equation Declaration}\label{sec:p2-eq-decl-cond} An equation may be {\em conditional}.\index{coditional equation} A conditional equation is of the form \begin{bsyntax} conditional equation declaration \index{\texttt{ceq}} \Hline \index{\texttt{if}} \texttt{ceq} $[$\textit{label}$]$ \textit{term} ``\texttt{=}'' \textit{term} \texttt{if} \textit{boolean\_term} ``\texttt{.}'' \end{bsyntax} Labels and terms are as in \verb|eq|. As stated often enough, the last blank-period lets the system know the end of a term, and is a must. Note that a declaration starts with \verb|ceq|, not \verb|eq|. \verb|ceq| may be abbreviated to \verb|cq|. \index{\texttt{cq}} \begin{warning} Like the last period, ``\verb|=|'' and \verb|if| demarcate terms. You should put blanks around them. \end{warning} \begin{warning} In former versions, conditions were preceded by \verb|:if|, not \verb|if|. \end{warning} A boolean term\index{boolean term} is a term of sort \verb|Bool|, which is declared in a built-in module called \verb|BOOL| (to be more precise, in a built-in module imported by \verb|BOOL|)\index{\texttt{BOOL}}. A conditional equation states that the two terms are equal if the boolean term is true (i.e. it equals the constant \verb|true|). We may say, therefore, that a boolean term {\em is} a condition. \index{condition (of an equation)} As mentioned earlier (Section \ref{sec:p2-import-decl}), every module implicitly imports the module \verb|BOOL|, unless you have locked it out. A major reason is that \verb|BOOL| provides you with boolean terms. \verb|BOOL| contains all the usual boolean operators, so that, as conditions, the following terms may be used (if \verb|B|, \verb|B'| are boolean terms). \begin{vvtm} \begin{ccode} true false not B B and B' B or B' \end{ccode} \end{vvtm} A complete listing may be obtained by \verb|show| command (see Section \ref{sec:p2-inspect-module}). \subsection{Behavioural Equation Declaration}\label{sec:p2-beh-eq-decl} To state behavioural equality explicitly, the following constructs are available. \begin{bsyntax} behavioural equation declaration \Hline \index{behavioural equation}\index{\texttt{beq}}\index{\texttt{bceq}} \texttt{beq} $[$\textit{label} $]$ \textit{term} ``\texttt{=}'' \textit{term} ``\texttt{.}'' \texttt{bceq} $[$\textit{label}$]$ \textit{term} ``\texttt{=}'' \textit{term} \texttt{if} \textit{boolean\_term} ``\texttt{.}'' \end{bsyntax} \verb|bceq| may be abbreviated to \verb|bcq|.\index{\texttt{bcq}} Labels etc. are as in \verb|eq| or \verb|ceq|. Also as in \verb|eq| or \verb|ceq|, both terms must belong to the same connected component. %In addition, we require that %\begin{quote} % Any operator in the terms, if it has a hidden sort in its arity, % be behavioural %\end{quote} %i.e. it should have been declared with \verb|bop|, not with \verb|op| %(Sections \ref{sec:p2-op-decl}, \ref{sec:p2-beh-op-decl}). %For example, if \verb|S| is a hidden sort and \verb|T| a visible one, %\begin{vvtm} %\begin{ccode} % bop f : S -> T % bop g : S T -> S %\end{ccode} %\end{vvtm} %are allowed since they are declared behavioural; %\begin{vvtm} %\begin{ccode} % op c : -> T % op d : -> S % op h : T -> T % op k : T -> S %\end{ccode} %\end{vvtm} %are also allowed, since they do not act on \verb|S|; but %\begin{vvtm} %\begin{ccode} % op u : S -> T % op v : S T -> T %\end{ccode} %\end{vvtm} %are prohibited, since they act on \verb|S| but are not declared bahavioural. \begin{warning} According to the above definition, you can write behavioural equations over visible sort. There is no harm in that: such equations are treated just like equations with \verb|eq| or \verb|ceq|. But do avoid using \verb|beq| if \verb|eq| is what you mean. Legality does not imply good manners. \end{warning} Note that in many cases, behavioural equality is defined, indirectly, with ordinary equations (declared with \verb|eq| or \verb|ceq|), not with behavioural ones (cf. Section \ref{exs:counter}). Behavioural equations are reserved for cases where explicit statements are desirable: typically, when you state theorems, or want to define behavioural operators in terms of others. \section{Transition Declaration}\label{sec:p2-trans-decl} Equality is an equivalence relation, obeying three basic properties of binary relations: reflexivity, symmetry, and transitivity. Dropping one of these properties engenders interesting relations. Partial equivalence is one of them. By dropping symmetry, we get a {\em transition}\index{transition} relation. The following constructs define such a transition relation. As with equations, there are conditional and unconditional transitions, and ordinary and behavioural ones. Crossing these, you get \begin{bsyntax} transition declaration \Hline \index{\texttt{trans}}\index{\texttt{ctrans}}\index{\texttt{btrans}} \index{\texttt{bctrans}}\index{\texttt{=>} (in transitions)} \texttt{trans} $[$\textit{label}$]$ \textit{term} ``\texttt{=>}'' \textit{term} ``\texttt{.}'' \texttt{ctrans} $[$\textit{label}$]$ \textit{term} ``\texttt{=>}'' \textit{term} \texttt{if} \textit{boolean\_term} ``\texttt{.}'' \texttt{btrans} $[$\textit{label}$]$ \textit{term} ``\texttt{=>}'' \textit{term} ``\texttt{.}'' \texttt{bctrans} $[$\textit{label}$]$ \textit{term} ``\texttt{=>}'' \textit{term} \texttt{if} \textit{boolean\_term} ``\texttt{.}'' \end{bsyntax} Syntactically, transitions are the same as equations, if you replace the equality sign by the arrow ``\verb|=>|''. Similar restrictions apply here also. For example, the sorts of two terms must be in the same connected component. %, and terms in behavioural transitions should not %contain non-behavioural operators on hidden sorts. \verb|trans| may be abbreviated to \verb|trns|, \verb|ctrans| to \verb|ctrns|, \verb|btrans| to \verb|btrns|, and \verb|bctrans| to \verb|bctrns|. \index{\texttt{trns}}\index{\texttt{ctrns}}\index{\texttt{btrns}}\index{\texttt{bctrns}} The following little example illustrates the difference between equations and transitions.\label{exs:choice} \begin{vvtm} \begin{ccode} module CHOICE { [ State ] ops a b : -> State op _|_ : State State -> State vars X Y : State trans X | Y => X . trans X | Y => Y . } \end{ccode} \end{vvtm} ``\verb+_|_+'' denotes an indeterminate state, turning out to be either argument (which itself may be indeterminate). The above rules say that an indeterminate state may become more and more determinate, but not conversely. It is obvious that, if these rules were equations, all the states would be the same, so that \verb|State| would be an uninteresting singleton. A traditional way to describe the above choice operator is to define an explicit transition function. The technique works at times, but in this nondeterministic example, it would lead to something like \begin{vvtm} \begin{ccode} module CHOICE { [ State ] ops a b : -> State op _|_ : State State -> State op choose : State -> State vars X Y : State eq choose(X | Y) = X . eq choose(X | Y) = Y . eq choose(a) = a . eq choose(b) = b . } \end{ccode} \end{vvtm} which, alas, is a specification of singletons. \section{Internalising Axioms}\label{sec:p2-internal-axioms} Axioms define certain kinds of relations when we construct models. For example, axioms introduced by \verb|eq| or \verb|ceq| define minimal congruence relations between reachable (term-generated) elements of visible sorts. These relations reside outside of \cafeobj ~descriptions: the mark ``\verb|=|'' is just a notation. For various purposes, it is convenient if these relations can be manipulated within the syntactical framework of \cafeobj. In general, it is impossible to give general decision procedures for these relations, but under certain conditions, or in some restricted sense, it is possible to implement procedures that realise or surrogate these relations. \cafeobj~provides four predicates for this purpose. \begin{itemize} \item \verb|==| for equality. \item \verb|==>| for transition relations. \item \verb|=*=|, \verb|=b=| for behavioural equivalence. \end{itemize} The latter three are mainly used in theorem proving (cf. Section \ref{sec:p2-theorem-proving-exs}). In addition, the system supports a sort predicate ``\verb|:is|''. \subsection{Equality Predicate}\label{sec:p2-equality-pred} The predicate for (ordinary) equality, written ``\verb|==|'',\index{\texttt{==}} is a binary operator defined on each visible sort. An explicit declaration of the operator would be of the form \begin{vvtm} \begin{ccode} op _==_ : S S -> Bool \end{ccode} \end{vvtm} or \begin{vvtm} \begin{ccode} pred _==_ : S S \end{ccode} \end{vvtm} for each sort \verb|S|. ``\verb|_==_|'' is defined in terms of evaluation (Chapter \ref{sec:p2-term-evaluation}). For ground terms \verb|t|, \verb|t'| of sort \verb|S|, ``\verb|t == t'|'' equals \verb|true| iff \verb|t|, \verb|t'| evaluate to a common term. It takes care of equational theories, such as associativity (Section \ref{sec:p2-equational-theory}). Due to this definition, ``\verb|_==_|'' works correctly only if the term rewriting system\index{term rewriting system} is terminating and confluent (Section \ref{sec:p2-executable-module}). The converse of ``\verb|_==_|'' is ``\verb|_=/=_|'',\index{\texttt{=/=}} which returns \verb|true| iff ``\verb|_==_|'' returns \verb|false| on the same arguments. The exact mechanism for defining these operators is tricky, but all are declared and defined in a built-in module \verb|BOOL|. This module contains usual boolean operators, such as conjunction, and, as mentioned earlier, is implicitly imported by other modules (Section \ref{sec:p2-import-decl}). Note the difference between equations, such as \begin{vvtm} \begin{ccode} eq N + 0 = N . \end{ccode} \end{vvtm} and applications of the {\em operator} ``\verb|_==_|'', such as \begin{vvtm} \begin{ccode} N + 0 == N \end{ccode} \end{vvtm} The sign ``\verb|=|'' in the former {\em denote\/}s an equivalence relation, and this relation per se steer wide of syntactic manipulation. ``\verb|_==_|'' is an operator that generates terms, which are subject to manipulation within the language processors. Still, they are related as follows: if the underlying term rewriting system is confluent and terminating, \begin{quotation} \verb|X = X'| holds iff \verb|X == X' = true| does. \end{quotation} %There is another massively polymorphic equality predicate, which, %unlike ``\verb|_==_|'', does not evaluate arguments. %Its name is ``\verb|_===_|''. This operator is declared and defined in %a built-in module called \verb|IDENTICAL|. The converse is %``\verb|_=/==_|''. % %\begin{warning} % At the time of writing, the authors do not know why these two % operators are necessary or useful. These came from OBJ3. %\end{warning} \subsection{Transition Predicate}\label{sec:p2-transition-pred} The predicate for transition relation, written ``\verb|==>|'', \index{\texttt{==>}} is a binary operator defined on each visible sort. As with ``\verb|==|'' in the previous section, an explicit declaration would be of the form \begin{vvtm} \begin{ccode} pred _==>_ : S S \end{ccode} \end{vvtm} for each sort \verb|S|. This predicate is in fact declared on the ``universal'' sort, in a module called \verb|RWL|. \verb|RWL| is imported implicitly, when a module contains transition declarations (Section \ref{sec:p2-trans-decl}). As with \verb|BOOL| (Section \ref{sec:p2-import-decl}), it is possible to switch off this implicit importation, by the command \index{\texttt{set}}\index{\texttt{include}}\index{\texttt{RWL}} \begin{vvtm} \begin{ccode} CafeOBJ> set include RWL off \end{ccode} \end{vvtm} A transition relation is reflexive, transitive, and is closed under operator application. When \verb|RWL| is imported, the system supplies a set of axioms. Firstly, for each visible sort \verb|S|, an axiom \begin{vvtm} \begin{ccode} eq X:S ==> X = true . \end{ccode} \end{vvtm} is declared. (In fact, a single equation declared in \verb|RWL| works for any \verb|S|.) This axiom states reflexivity. Secondly, for each unconditional tranision \begin{vvtm} \begin{ccode} trans t => t' . \end{ccode} \end{vvtm} the system declares \begin{vvtm} \begin{ccode} eq t ==> t' = true . \end{ccode} \end{vvtm} and for each conditional transition \begin{vvtm} \begin{ccode} ctrans t => t' if c . \end{ccode} \end{vvtm} the system declares \begin{vvtm} \begin{ccode} ceq t ==> t' = true if c . \end{ccode} \end{vvtm} These declarations correspond to one-step transitions. Thirdly, for each operator declaration \begin{vvtm} \begin{ccode} op f : S1 ... Sn -> S \end{ccode} \end{vvtm} the system declares \begin{vvtm} \begin{ccode} ceq f(X1:S1, ..., Xn:Sn) ==> f(X1':S1, ..., Xn':Sn) = true if X1 ==> X1' and ... and Xn ==> Xn' . \end{ccode} \end{vvtm} which states that ``\verb|_==>_|'' is closed under \verb|f|'s application. As to transitivity, a straightforward declaration would not do: an axiom of the form \begin{vvtm} \begin{ccode} ceq X:S ==> X':S = true if X ==> X'':S and X'' ==> X' . \end{ccode} \end{vvtm} introduces an extra variable in the condition, which makes it inappropriate for the purpose of evaluation (cf. Section \ref{sec:p2-executable-module}). Considering that the main usage of the predicate ``\verb|==>|'' is to prove theorems with evaluation mechanism, this fact renders such an axiom useless. In its place the system add the following axiom. \begin{vvtm} \begin{ccode} ceq X:S ==> X':S = true if X =(*)=> X' . \end{ccode} \end{vvtm} Attached to the operator ``\verb|_=(*)=>_|'' is a systematic search procedure for determining whether the first argument transits to the second in an arbitraty number of steps. More on this and related operators in Section \ref{sec:p2-proving-trans-2}. \subsection{Behavioural Equivalence Predicate}\label{sec:p2-beh-equiv-pred} The predicate for behavioural equivalence, written ``\verb|=*=|'', \index{\texttt{=*=}} is a binary operator defined on each hidden sort. As with ``\verb|==|'' and ``\verb|==>|'' in previous sections, an explicit declaration would be of the form \begin{vvtm} \begin{ccode} pred _=*=_ : S S \end{ccode} \end{vvtm} for a given sort \verb|S|. Remember that behavioural operators are declared with \verb|bop|, and each such operator has exactly one hidden sort in its arity (Section \ref{sec:p2-beh-op-decl}). On the assumption that ``\verb|a =*= a'|'' implies ``\verb|f1(a) == f1(a')|'' for any ``attribute'' \verb|f| and for any \verb|a|, if ``\verb|=*=|'' turns out to be congruent wrt all the ``method''s, the system declares an axiom \begin{vvtm} \begin{ccode} eq A =*= A' = f1(A) == f1(A') and ... and fn(A) == fn(A') . \end{ccode} \end{vvtm} where \verb|f1|, \ldots, \verb|fn| are the attributes. Recalling an example of bank accounts \begin{vvtm} \begin{ccode} *[ Account ]* bop deposit : Account Nat -> Account bop withdraw : Account Nat -> Account bop balance : Account -> Nat \end{ccode} \end{vvtm} the above assumption is \begin{vvtm} \begin{ccode} ceq balance(A:Account) = balance(A':Account) if A =*= A' . \end{ccode} \end{vvtm} and ``\verb|=*=|'' is congruent if two equations \begin{vvtm} \begin{ccode} eq deposit(a,n) =*= deposit(a',n) = true . eq withdraw(a,n) =*= withdraw(a',n) = true . \end{ccode} \end{vvtm} hold, on the hypothesis that \begin{vvtm} \begin{ccode} eq a =*= a' = true . \end{ccode} \end{vvtm} for arbitrary \verb|a|, \verb|a'|, and \verb|n|. If the switch ``\kbd{accept} \verb|=*=| \kbd{proof}'' is \kbd{on} (the default is \kbd{off}), the system tries to prove these two equations by evaluation (Chapter \ref{sec:p2-term-evaluation}). If ``\verb|_=*=_|'' does turn out to be a congruence, the system adds the axiom \begin{vvtm} \begin{ccode} ceq A:Account =*= A':Account if balance(A) == balance(A') . \end{ccode} \end{vvtm} Intuitively, this axiom states that two terms of \verb|Account| are indistinguishable if they are indistuiguishable by a single application of \verb|balance|. Note that, if ``\verb|=*=|'' is not turned out to be congruent, no axiom defines ``\verb|=*=|''. In such a case, ``\verb|=*=|'' is not even reflexive. %\begin{warning} %The existence of completely undefined ``\verb|=*=|'' is annoying. %In future, this predicate may be defined as above, whether or not %it is congruent. %\end{warning} Another predicate for behavioural equivalence is ``\verb|=b=|,'' \index{\texttt{=b=}} which is to behavioural equations as ``\verb|==|'' is to plain ones, and is defined to \verb|true| iff both hand sides evaluate to a common term. The difference between ``\verb|==|'' and ``\verb|=b=|'' is in the applicability of behavioural axioms (See \ref{sec:p2-evaluation-command} for detail). \subsection{Sort Predicate}\label{sec:p2-sort-pred} The system supplies a predicate that checks whether a given term is of a given sort. It is of the form \begin{vvtm} \begin{ccode} t :is S \end{ccode} \end{vvtm} and evaluates to \verb|true| if \verb|t| belongs to \verb|S|. You can supply explicit axioms for the predicate. An example is \begin{vvtm} \begin{ccode} vars N N' : Nat ceq N + N' :is NzNat = true if N :is NzNat . ceq N + N' :is NzNat = true if N' :is NzNat . \end{ccode} \end{vvtm} \begin{warning} This feature is introduced as a surrogate of membership relation. We stress that it is a surrogate, not a real thing. % The existence (and implementation) of this predicate is highly % tentative, and maybe dropped entirely at any time. You should not use this feature unless absolutely necessary. There are switches such as ``\verb|mel sort|'' related to this predicate. They are also highly tentative, and you should not use them unless absolutely necessary. \end{warning} \chapter{Inspecting Modules}\label{sec:p2-inspect-module} It is time we show some examples that combine all of the declarations explained so far. This chapter also illustrates the module inspection command \verb|show| (Section \ref{sec:p2-show-command}). \section{Using Inspection Commands}\label{sec:p2-insp-basic} \subsection{Printing Whole Modules}\label{sec:p2-print-whole-module} We first recall \verb|SIMPLE-NAT|, which defines natural number addition (Section \ref{exs:simple-nat}). \begin{vvtm} \begin{ccode} module SIMPLE-NAT { [ Zero NzNat < Nat ] op 0 : -> Zero op s : Nat -> NzNat op _+_ : Nat Nat -> Nat vars N N' : Nat eq 0 + N = N . eq s(N) + N' = s(N + N') . } \end{ccode} \end{vvtm} Everything in this module has been already explained, so you should know that this is indeed a standard recursive definition of addition. A subtle point is in the use of subsort relation. Here the set of natural numbers is the union of \verb|Zero|, which contains \verb|0| (and nothing else), and \verb|NzNat|, which contains \verb|s(0)|, \verb|s(s(0))|, and so forth. Suppose this definition is in the file \verb|simple-nat.cafe|. Then you may get the following session. \begin{vvtm} \begin{ccode} CafeOBJ> input simple-nat -- processing input : ./simple-nat.cafe -- defining module SIMPLE-NAT....._..* done. CafeOBJ> show SIMPLE-NAT module SIMPLE-NAT { imports { protecting (BOOL) } signature { [ Nat, Zero NzNat < Nat, NzNat, NzNat < Nat, Zero, Zero < Nat ] op 0 : -> Zero op s : Nat -> NzNat op _ + _ : Nat Nat -> Nat { strat: (1 0 2) } } axioms { var N : Nat var N' : Nat eq 0 + N = N . eq s(N) + N' = s(N + N') . } } CafeOBJ> \end{ccode} \end{vvtm} When invoked with a module name, \verb|show| command prints the entire contents of the module. You may notice that \begin{itemize} \item Block constructs \verb|imports|, \verb|signature|, and \verb|axioms| (Section \ref{sec:p2-blocks-in-mod}) are used, even though you did not use them. \item The module \verb|BOOL| is imported automatically. As explained earlier, \verb|BOOL| defines Boolean operators and is imported unless prohibited by a switch (Section \ref{sec:p2-import-decl}). \item There is a bracketed text after the declaration of ``\verb|_+_|''. This is an operator attribute, to be explained later (Section \ref{sec:p2-op-properties}). \end{itemize} \begin{warning} Display of sort declarations is often knotted. This is due to implementation restriction; an ``optimal'' display is very hard to define anyway. \end{warning} \subsection{Print Part of Modules}\label{sec:p2-print-part-of-module} To print partial contents, such as sort declarations only, of a module, you may supply further arguments to \verb|show| command. Continuing the above session, you get \begin{vvtm} \begin{ccode} CafeOBJ> show sorts SIMPLE-NAT * visible sorts : Zero, Zero < Nat NzNat, NzNat < Nat Nat, Zero NzNat < Nat CafeOBJ> show ops SIMPLE-NAT ..................................(0).................................. * rank: -> Zero ..................................(s).................................. * rank: Nat -> NzNat ................................(_ + _)................................ * rank: Nat Nat -> Nat { strat: (1 0 2) } - axioms: eq 0 + N = N eq s(N) + N' = s(N + N') CafeOBJ> \end{ccode} \end{vvtm} The arguments \verb|sorts|, \verb|ops|, etc. specify the parts of the module to be shown. To summarise the mostly obvious, \begin{center} \begin{tabular}{ll} \verb|sorts| & sort and subsort declarations \\ \verb|ops| & operator declarations \\ \verb|vars| & variable declarations \\ \verb|axioms| & axiom declarations \\ \verb|params| & parameter declarations (to be introduced later) \\ \verb|subs| & import declarations (for `sub'modules) \\ \verb|sign| & \verb|sorts| and \verb|ops| combined (i.e. the signature) \\ \end{tabular} \end{center} It is possible to list declarations in imported modules also. For an example for example's sake, \begin{vvtm} \begin{ccode} CafeOBJ> module SHADOW-NAT { protecting (SIMPLE-NAT) } -- defining module SHADOW-NAT._* done. CafeOBJ> show sorts SHADOW-NAT CafeOBJ> show all sorts SHADOW-NAT * visible sorts : Zero, Zero < Nat NzNat, NzNat < Nat Nat, Zero NzNat < Nat CafeOBJ> \end{ccode} \end{vvtm} \verb|SHADOW-NAT| simply imported declarations of \verb|SIMPLE-NAT| and added nothing. The plain \verb|sorts| argument prints nothing, while \verb|all sorts| prints sort declarations in the imported \verb|SIMPLE-NAT|. \begin{warning} \verb|all| does not print anything in the implicitly imported modules. Even if you import \verb|BOOL| explicitly, the system still refuses to print the declarations in them. \end{warning} In case of axioms, instead of crying \verb|all| to \verb|show| command, you may change a switch called ``\verb|all axioms|'', as \begin{vvtm} \begin{ccode} CafeOBJ> set all axioms on \end{ccode} \end{vvtm} If you are inspecting a particular module, it is convient to set it as current (Section \ref{sec:p2-current-module}), so that the module name may be omitted.\index{current module} \begin{vvtm} \begin{ccode} CafeOBJ> select SIMPLE-NAT SIMPLE-NAT> show sorts * visible sorts : Zero, Zero < Nat NzNat, NzNat < Nat Nat, Zero NzNat < Nat SIMPLE-NAT> show ops ..................................(0).................................. * rank: -> Zero ..................................(s).................................. * rank: Nat -> NzNat ................................(_ + _)................................ * rank: Nat Nat -> Nat - attributes: { strat: (1 0 2) } - axioms: eq 0 + N = N eq s(N) + N' = s(N + N') SIMPLE-NAT> \end{ccode} \end{vvtm} Note that the prompt has changed, to indicate what module is current. It is possible to focus on a single sort, operator or imported module. For example, \begin{vvtm} \begin{ccode} SIMPLE-NAT> show sort Nat Sort Nat declared in the module SIMPLE-NAT - subsort relation : ?Nat | Nat / \ Zero NzNat SIMPLE-NAT> show op _+_ ................................(_ + _)................................ * rank: Nat Nat -> Nat - attributes { strat: (1 0 2) } - axioms: eq 0 + N = N eq s(N) + N' = s(N + N') SIMPLE-NAT> \end{ccode} \end{vvtm} Here the subsort relation is shown graphically. \verb|?Nat| is an error sort, and you should ignore it for now (cf. Section \ref{sec:p2-flexible-typing}). A switch controls whether the sort of each variable is displayed. \index{\texttt{set}}{\texttt{show}}\index{\texttt{var}}\index{\texttt{sorts}} Continuing the session, you get \begin{vvtm} \begin{ccode} SIMPLE-NAT> set show var sorts on SIMPLE-NAT> show op _+_ ................................(_ + _)................................ * rank: Nat Nat -> Nat - attributes { strat: (1 0 2) } - axioms: eq 0 + N:Nat = N:Nat eq s(N:Nat) + N':Nat = s(N:Nat + N':Nat) SIMPLE-NAT> \end{ccode} \end{vvtm} \begin{warning} This switch does not have a total control. In cases when sorts are not apparent --- when an axiom is from an imported module, or when variables are redeclared on the fly, and so on --- the system displays them willynilly. \end{warning} \subsection{Deep Inspection}\label{sec:p2-deep-inspection} If you want more detailed explanations of the module contents, use \verb|describe|, in place of \verb|show|. This command is useful when you are evaluating terms (Chapter \ref{sec:p2-term-evaluation}). Since we have not yet explained term evaluation mechanisms, you should not expect to understand the following output. It is enough to know the flavour of difference between \verb|show| and \verb|describe|. \begin{vvtm} \begin{ccode} SIMPLE-NAT> describe op _+_ ====================================================================== name : (_ + _) module : SIMPLE-NAT number of arguments : 2 default attributes : rewrite strategy : not specified syntax : precedence : not specified computed prec. : 41 form : (arg:41) "+" (arg:41) theory : ---------------------------------------------------------------------- rank : ?Nat ?Nat -> ?Nat module : SIMPLE-NAT theory : rewrite strategy : (1 2 0) precedence : 41 lower oprations : Nat Nat -> Nat axioms : ---------------------------------------------------------------------- rank : Nat Nat -> Nat module : SIMPLE-NAT theory : rewrite strategy : (1 0 2 0) precedence : 41 axioms : - equation lhs : 0 + N:Nat rhs : N:Nat top operator : Nat Nat -> Nat - equation lhs : s(N:Nat) + N':Nat rhs : s(N:Nat + N':Nat) top operator : Nat Nat -> Nat SIMPLE-NAT> \end{ccode} \end{vvtm} %% \newpage %% \subsection{Inspecting Records}\label{sec:p2-record-inspection} %% As explained in Section \ref{sec:p2-plain-record-decl}, a record %% declaration has the same effects as several related declarations %% of sorts and operators. You may be anxious to know how the system %% handles record declarations. If you are, put the record \verb|Date| %% into a module declaration, and inspect it.\label{exs:date} %% \begin{vvtm} %% \begin{ccode} %% CafeOBJ> module DATE { %% protecting (SIMPLE-NAT) %% record Date { %% year : Nat %% month : Nat %% day : Nat %% } } %% -- defining module DATE.._* done. %% CafeOBJ> select DATE %% DATE> show sorts %% * visible sorts : %% Date, Date < RecordInstance %% RecordDate, RecordDate < RecordId %% Slotyear, Slotyear < AttrId %% Slotmonth, Slotmonth < AttrId %% Slotday, Slotday < AttrId %% DATE> %% \end{ccode} %% \end{vvtm} %% \verb|SIMPLE-NAT| (Section \ref{exs:simple-nat}) should be familiar. %% The record \verb|Date| was indeed declared as a sort, as we stated. %% But it seems that a lot more sorts are involved. They are used to define %% the operators. To see what operators were declared, you may inspect %% further. But hold your breath: %% \begin{vvtm} %% \begin{ccode} %% DATE> show ops %% ................................(_ { })................................ %% * rank: RecordDate -> Date %% - attributes: { constr } %% ...............................(_ { _ })............................... %% * rank: RecordDate Attributes -> Date %% - attributes: { constr } %% ................................(Date)................................ %% * rank: -> RecordDate %% - attributes: { constr } %% ..............................(makeDate).............................. %% * rank: Attributes -> Date %% - axioms: %% eq makeDate(ATTRS-6:Attributes) = #!! (make-record-instance 'date %% attrs-6) %% ..............................(makeDate).............................. %% * rank: -> Date %% - axioms: %% eq makeDate = #!! (make-record-instance 'date) %% ................................(year)................................ %% * rank: -> Slotyear %% - attributes: { constr } %% ................................(year)................................ %% * rank: Date -> Nat %% - axioms: %% eq year(RID-5:RecordDate { (VAR-SLOTYEAR-2:Slotyear = VAL-11:Nat, %% ATTRS-6:Attributes) }) = VAL-11:Nat %% ..............................(set-year).............................. %% * rank: Date Nat -> Date %% - axioms: %% eq set-year(RID-5:RecordDate { (VAR-SLOTYEAR-2:Slotyear = VAL-11:Nat, %% ATTRS-6:Attributes) },NEW-VAL-12) = RID-5:RecordDate %% { (VAR-SLOTYEAR-2:Slotyear = NEW-VAL-12 , ATTRS-6:Attributes) } %% \end{ccode} %% \end{vvtm} %% The print continues for \verb|month|, \verb|set-month| and so on. %% We do not explain the above in detail, and only say that these %% declarations are necessary for the flexible syntax you may use, and %% for realising record inheritances. Remember that a record may be written as %% \begin{vvtm} %% \begin{ccode} %% Date { year = 1984, month = 1, day = 1 } %% \end{ccode} %% \end{vvtm} %% or %% \begin{vvtm} %% \begin{ccode} %% Date { month = 1, day = 1, year = 1984 } %% \end{ccode} %% \end{vvtm} %% interchangeably; you may also omit uninteresting slots, as %% \begin{vvtm} %% \begin{ccode} %% Date { year = 1984 } %% \end{ccode} %% \end{vvtm} %% where \verb|month| and \verb|date| disappear; %% and \verb|set|, \verb|set-year| etc. will be declared for every record %% that inherits \verb|Date|. %% Finally, look at axioms. %% \begin{vvtm} %% \begin{ccode} %% DATE> show axioms %% - Equations %% eq day(RID-5:RecordDate { (VAR-SLOTDAY-4:Slotday = VAL-7:Nat , %% ATTRS-6:Attributes) }) = VAL-7:Nat %% eq set-day(RID-5:RecordDate { (VAR-SLOTDAY-4:Slotday = VAL-7:Nat , %% ATTRS-6:Attributes) }, NEW-VAL-8) %% = RID-5:RecordDate { (VAR-SLOTDAY-4:Slotday = NEW-VAL-8 , %% ATTRS-6:Attributes) } %% \end{ccode} %% \end{vvtm} %% Again we omitted the rest of the (long) output. The above two equations %% define \verb|day| and \verb|set-day|. Their simplified forms are %% \begin{vvtm} %% \begin{ccode} %% eq day (Date { day = D, month = M, year = Y }) = D . %% eq set-day (Date { day = D, month = M, year = Y }, D') = %% Date { day = D', month = M, year = Y } . %% \end{ccode} %% \end{vvtm} %% which look exactly like the access functions to \verb|day|. \section{Some Typical Modules}\label{sec:p2-typical-modules} \subsection{Unique Models}\label{sec:p2-unique-model} When you write a specification of natural numbers (Section \ref{sec:p2-print-whole-module}), your probable intention is to specify ``the'' natural numbers. For example, you do not want a singleton $\{ 0 \}$ to constitute a model of your specification (the elements are too few), nor a colossal sum $\mathcal{N} + \mathcal{N} + \ldots + \mathcal{N}$ (too many). You want exactly the set $\{ 0, 1, 2, \ldots \}$ to be the model of your specification. In the terminology of \cafeobj, such a module should be interpreted to have tight denotation: it has exactly one model --- the usual term model. A module introduced with ``\verb|module!|'' is always so interpreted. So perhaps it is more to your taste if we have written \begin{vvtm} \begin{ccode} module! SIMPLE-NAT { ... } \end{ccode} \end{vvtm} As another example of tight denotation, consider indeterminate choice (cf. Section \ref{exs:choice}) of natural numbers\footnote{ The current implementation imports a builtin sort of the same name, so you need a lot of qualifications for this example to work correctly. }. \label{exs:choice-nat} \begin{vvtm} \begin{ccode} module! CHOICE-NAT { extending (SIMPLE-NAT) op _|_ : Nat Nat -> Nat vars N N' : Nat trans N | N' => N . trans N | N' => N' . } \end{ccode} \end{vvtm} In the model you have in mind, \begin{itemize} \item[] \verb+0 | s(0)+ may transit to \verb|0| \item[] \verb+0 | s(0)+ may transit to \verb|s(0)| \end{itemize} but \begin{itemize} \item[] \verb+0 | s(0)+ should not transit to \verb|s(s(0))| \end{itemize} \verb|module!| ensures that the last transition is not in the model. To cope with transition relations, the model must have a 2-categorical structure\footnote{ In fact, since \cafeobj~does not distinguish transitions between the same two elements, a more restricted structure --- essentially, partial orders and monotonic functions --- serves as well. }; otherwise, everything is a straightforward extension to usual algebraic semantics. \subsection{Inspecting Transition Axioms}\label{sec:p2-trans-beget-axs} When you declare a transition, a couple of axioms are automatically generated (Section \ref{sec:p2-transition-pred}). Let us use \verb|CHOICE-NAT| for illustration. \begin{vvtm} \begin{ccode} CafeOBJ> module! CHOICE-NAT { extending (SIMPLE-NAT) op _|_ : Nat Nat -> Nat vars N N' : Nat trans N | N' => N . trans N | N' => N' . } -- defining module! CHOICE-NAT..._._.* done. CafeOBJ> select CHOICE-NAT CHOICE-NAT> show axioms - Equations ceq cv1:Nat | cv2:Nat ==> cv3:Nat | cv4:Nat = true if cv1:Nat ==> cv3:Nat and cv2:Nat ==> cv4:Nat ceq s(cv1:Nat) ==> s(cv2:Nat) = true if cv1:Nat ==> cv2:Nat ceq cv1:Nat + cv2:Nat ==> cv3:Nat + cv4:Nat = true if cv1:Nat ==> cv3:Nat and cv2:Nat ==> cv4:Nat eq N | N' ==> N' = true eq N | N' ==> N = true - Rules trans N | N' => N trans N | N' => N' CHOICE-NAT> show subs extending(SIMPLE-NAT) protecting(RWL) CHOICE-NAT> \end{ccode} \end{vvtm} As shown above, congruence axioms are added, and a module called \verb|RWL| is imported automatically. \verb|RWL| is the module that declares ``\verb|_==>_|''. \begin{warning} By the way, where is the reflexivity axiom? Well, it is hidden in the module \verb|RWL|. The current implementation provides a ``universal'' reflexivity axiom, and each module does not acquire a new axiom. But you should think as if it did. \end{warning} \subsection{Non-isomorphic Models}\label{sec:p2-non-iso-model} There are cases when your favourite models are not unique. Examples abound in defining algebraic structures. Monoids may be defined as \label{exs:monoid} \begin{vvtm} \begin{ccode} module* MONOID { [ M ] op e : -> M op _*_ : M M -> M vars X Y Z : M eq (X * Y) * Z = X * (Y * Z) . eq e * X = X . eq X * e = X . } \end{ccode} \end{vvtm} When you write down the above module, what is intended is not (only) a trivial monoid, the singleton $\{ e \}$. But that is exactly the tight denotation of this module, which you would get if it were declared with ``\verb|module!|''. In this case, a module should accommodate any model so long as it has an associative binary operator with an --- i.e., the --- identity element. A module introduced with ``\verb|module*|'' is always interpreted as such. Another example uses behavioural operators.\label{exs:counter} \begin{vvtm} \begin{ccode} module* COUNTER { protecting (SIMPLE-NAT) *[ Counter ]* bop read : Counter -> Nat bop add : Nat Counter -> Counter eq read(add(N:Nat, C:Counter)) = N + read(C) . } \end{ccode} \end{vvtm} Your intention is to define a counter that is incremented by the operator \verb|add|. Tight denotation would lead to the model where, e.g., for a fixed counter \verb|c|, \begin{vvtm} \begin{ccode} add(s(0), add(s(s(0)), c)) add(s(s(0)), add(s(0), c)) \end{ccode} \end{vvtm} are different elements. Intuitively, this model says that adding 1, then 2, is different from adding 2, then 1. When your sole concern is the return values of \verb|read|, this model works fine (adding 2, then 1 increments the counter by 3; so does adding 1, then 2). But there is no reason to preclude a model where the above two terms denote the same element (the order of addition is immaterial). Hence this module was introduced with ``\verb|module*|'', as above. \subsection{Inspecting Hidden Sorts}\label{sec:p2-hsort-beget-axs} Two terms of a hidden sort is equal, or {\em behaviourally equivalent}, \index{behaviourally equivalent}, iff they behave the same under any {\em behavioural context} (cf. \cite{hsa}),\index{behavioural context} \index{context (behavioural)} or {\em observation}\index{observation}. An observation is a term of a visible sort, which contains exactly one (occurrence of one) variable of the hidden sort. (So an observation is a special derived operator --- see Section \ref{sec:p2-pre-view}.) In the example of \verb|COUNTER|, the observations for \verb|Counter| is of the form \begin{vvtm} \begin{ccode} read(X), read(add(m,X)), read(add(m,add(m',X))), ... \end{ccode} \end{vvtm} where \verb|X| is a variable of sort \verb|Counter|, and \verb|m|, \verb|m'| are arbitrary terms of sort \verb|Nat|. For this special case, therefore, the above definition means that two terms \verb|t|, \verb|t'| of sort \verb|Counter| are behaviourally equal iff the equations \begin{vvtm} \begin{ccode} eq read(t) = read(t') . eq read(add(m,t)) = read(add(m,t')) . eq read(add(m,add(m',t))) = read(add(m,add(m',t'))) . ... \end{ccode} \end{vvtm} hold. Unlike equality over visible sorts, equality over hidden sorts are unlikely to be determined by straightforward reduction; two terms may well turn out to be behaviourally equivalent, even if they have different irreducible forms. It is still possible, however, to use reduction to {\em help} prove behavioural equivalence. As explained in Section \ref{sec:p2-beh-equiv-pred}, the system associates a binary predicate ``\verb|_=*=_|'' to each hidden sort, and declare an axiom. You may inspect the detail, as the following example shows. \begin{vvtm} \begin{ccode} CafeOBJ> module* COUNTER { protecting (SIMPLE-NAT) *[ Counter ]* bop read : Counter -> Nat bop add : Nat Counter -> Counter eq read(add(N:Nat, C:Counter)) = N + read(C) . } -- defining module* COUNTER...._.* * system already proved =*= is a congruence of COUNTER done. CafeOBJ> select COUNTER COUNTER> show axioms - Equations eq read(add(N:Nat,C:Counter)) = N:Nat + read(C:Counter) ceq hs1:Counter =*= hs2:Counter = true if read(hs1:Counter) == read(hs2:Counter) COUNTER> \end{ccode} \end{vvtm} In processing \verb|COUNTER| the system added an equation after checking congruence. \chapter{Evaluating Terms}\label{sec:p2-term-evaluation} \cafeobj~has an operational semantics based on term rewriting system (TRS)s. This chapter introduces the very basics of TRSs and explains when a \cafeobj~code constitutes a TRS. \section{Term Rewriting System}\label{sec:p2-trs} \subsection{What is a TRS}\label{sec:p2-trs-basic} This section is an intuitive introduction to the computation model of TRS's\index{TRS}\index{term rewriting system}. First, a preliminary. \begin{itemize} \item[] {\em Substitution}\index{substitution}. A substitution is a set $S$ of pairs $(v,t)$ of a variable $v$ and a (ground) term $t$, such that no two pairs contain the same variable. If $(v,t)$ is in $S$, $t$ is said to be the {\em value} of $v$ under $A$. \item[] {\em Instantiation}\index{instantiation of a term}. Given a substitution $S$ and a term $t$, replacing each (occurrence of each) variable in $t$ with its value under $S$ is called the instantiation of $t$ by $S$. \item[] {\em Matching}\index{matching}. Given a {\em ground} term \index{ground term} $t$ and a term $p$, if there is a substitution $S$ such that the instantiation of $p$ by $S$ equals $t$, $t$ is said to be matchable to $p$. To compute such a substitution is called matching. \end{itemize} Given a set $R$ of rewrite rules, computation with $R$ as TRS proceeds as follows: given a {\em ground} term $t$, \begin{itemize} \item[1.] (pattern matching) Find a rewrite rule in $R$ such that a subterm $s$ of $t$ is matchable to its lefthand side. \item[2.] (rewrite) If such a rewrite rule is found, replace $s$ in $t$ with the instance of its righthand by the matching substitution, and go back to 1. with the resulting new term. \item[3.] If no such rewrite rule is found, terminate. \end{itemize} This procedure is called {\em evaluation}\index{evaluation}, or {\em reduction}\index{reduction}, of $t$. If the procedure terminates, the resultant term is said to be {\em irreducible}\index{irreducible (term)}, or {\em normal}\index{normal (term)}. Note well that this procedure is for ground terms only. If a rewrite rule is conditional, in addition to matchability, you also have to check the condition. To check the condition, its instance by the matching substitution is evaluated. The rule is applicable only when the condition evaluates to (a term denoting) true. A TRS with conditional rewrite rules is called conditional TRS. Another refinement of the above procedure is to match terms not only syntactically, but modulo an equational theory $E$. Such a mathching procedure is called $E$-matching\index{E-matching}. A typical equational theory is associativity. Modulo associativity on an operator ``\verb|_*_|'', for example, ``\verb|a * (b * c)|'' matches ``\verb|(X * b) * Y|'', where \verb|X|, \verb|Y| are variables, since the former term is equal to ``\verb|(a * b) * c|''. \cafeobj~does support this kind of matching (cf. Section \ref{sec:p2-equational-theory}). There may be cases where more than one rules match with more than one subterms --- so the above procedure is, in fact, hardly a procedure at all. Which one to choose, and when, is a significant issue. \cafeobj~allows you to control the selection, operator by operator. See Section \ref{sec:p2-rew-strategy}. \subsection{How a Module Defines a TRS}\label{sec:p2-executable-module} The axioms of \cafeobj~are equations and transitions, which define equivalence and transition relations. In operational semantics, these axioms are regarded, uniformly, as directed rewrite rules, as follows. If we denote a rewrite rule by \verb|t -> t'|, for relevant terms \verb|t|, \verb|t'|, and \verb|b|, \begin{itemize} \item[] \verb|eq t = t' .| is a rewrite rule \verb|t -> t'|. \item[] \verb|ceq t = t' if b .| is a rewrite rule \verb|t -> t'| with the condition \verb|b|. \item[] \verb|trans t => t' .| is a rewrite rule \verb|t -> t'|. \item[] \verb|ctrans t => t' if b .| is a rewrite rule \verb|t -> t'| with the condition \verb|b|. \end{itemize} Behavioural axioms are translated similarly. Then the TRS defined by a module is the set of axioms regarded as rewrite rules as above. Note that the axioms of the imported modules are included in this definition. For example, \verb|SIMPLE-NAT| (Section \ref{exs:simple-nat}) defines a TRS that contains two rewrite rules \begin{vvtm} \begin{ccode} 0 + N -> N s(N) + N' -> s(N + N') \end{ccode} \end{vvtm} where \verb|N|, \verb|N'| are variables of sort \verb|Nat|. Since \verb|BOOL| is implicitly imported, its axioms (as rewrite rules) are also in this TRS. \verb|show| command may be used to list all the rules (see examples in Section \ref{sec:p2-eval-exs-1}). Two kinds of axioms are excluded from TRS's, solely by syntactic criteria. For an axiom to be a rewrite rule, \begin{itemize} \item[(1)] Every variable that occurs in the righthand side or in the condition must occur in the lefthand side also. Otherwise the terms under computation may become non-ground. \item[(2)] The lefthand side must not be a single variable. Otherwise every term (of a relevant sort) is matchable, so the computation never stops. \end{itemize} For order-sorted TRS, there might be other constraints, such as sort-decreasing property. But \cafeobj~does not impose such a constraint. There are two important properties of TRSs. If computation always terminates, the TRS is said to be {\em terminating}. \index{terminating} If, whenever a term is rewritten to two different terms, they can be further rewritten to a same term, the TRS is said to be {\em confluent}\index{confluent}. If terminating and confluent, it is {\em canonical}.\index{canonical (TRS)} In general, the declarative meaning of an axiom set differs from the operational one (i.e. TRS). But there {\em is} a coincidence if we restrict ourselves to tight denotation and equations. If the set, regarded as TRS, is canonical, i.e. terminating and confluent, \begin{quote} Two (ground) terms are equal iff they are reducible to a common term. \end{quote} For this reason, it is important to distinguish a subset of a TRS derived only from equations (cf. \verb|reduce| command in Section \ref{sec:p2-evaluation-command}). It also follows that for loose denotation, reduction per se does not suggest anything of much import. (For theorem proving, it {\em is} useful --- see Section \ref{sec:p2-theorem-proving-exs}). \section{Do the Evaluation} \subsection{Evaluation Commands}\label{sec:p2-evaluation-command} There are three commands for evaluating terms. \begin{bsyntax} \texttt{reduce} command \index{\texttt{reduce}} \Hline \texttt{reduce} $[$\texttt{in} \textit{module\_expression} ``\texttt{:}''$]$ \textit{term} ``\texttt{.}'' \end{bsyntax} \begin{bsyntax} \texttt{breduce} command \index{\texttt{breduce}} \Hline \texttt{breduce} $[$\texttt{in} \textit{module\_expression} ``\texttt{:}'' $]$ \textit{term} ``\texttt{.}'' \end{bsyntax} \begin{bsyntax} \texttt{execute} command \index{\texttt{execute}} \Hline \texttt{execute} $[$\texttt{in} \textit{module\_expression} ``\texttt{:}''$]$ \textit{term} ``\texttt{.}'' \end{bsyntax} As is ever the case, the period after a blank is a must. \verb|reduce| can be abbreviated to \verb|red|, \verb|breduce| to \verb|bred|, and \verb|execute| to \verb|exec|. Module expressions are introduced in Section \ref{sec:p2-module-expression}, and we only consider module names here. These commands evaluate the term with a TRS defined by the given module; or by the current module (Section \ref{sec:p2-current-module}),\index{current module} if the module expression is omitted. These three commands differ on (1) which axioms constitute the TRS and (2) applicability of some rewrite rules. \begin{itemize} \item[(1)] \begin{itemize} \item For \verb|reduce| or \verb|breduce|, only --- possibly conditional, possibly behavioural --- equations are taken to constitute the TRS. Transitions are excluded. This ensures that under certain conditions (Section \ref{sec:p2-executable-module}) \verb|reduce| gives a decision procedure for equational theory. \item For \verb|execute|, all the axioms constitute the TRS. \end{itemize} \item[(2)] \begin{itemize} \item For \verb|reduce| or \verb|execute|, a rewrite rule that come from a behavioural axiom is applicable only when the redex in enclosed in an observation. This ensures the soundness of evaluation. \item For \verb|breduce|, there is no such restriction. \end{itemize} \end{itemize} The point (1) comes from the fact that \verb|reduce| (\verb|breduce|) is to get a term equal (behaviourally equivalent) to the input, while \verb|execute| is to get a term that the input may eventually transit to. The point (2) comes from the fact that \verb|breduce| is to get a term behaviourally equivalent to the input, while \verb|reduce| is to get a term equal to the input. These points are illustated in Sections \ref{sec:p2-eval-exs-2} and \ref{sec:p2-eval-exs-3}. %On the point (2), consider the following declarations. %\begin{vvtm} %\begin{ccode} % *[ S ]* % [ T ] % ops a b : -> S % bop f : S -> T % beq [ a-sim-b ] a = b . %\end{ccode} %\end{vvtm} %The axiom \verb|a-sim-b| asserts that \verb|a| is behaviourally %equivalent to \verb|b|, but does not say that they are equal. %Therefore such an axiom should not be used to conclude %that \verb|a| equals \verb|b|. On the other hand, since %\verb|a| and \verb|b| are behaviourally equivalent, every %observation of the two terms is equal. A forteriori %\verb|f(a)| equals \verb|f(b)|. In reasoning the equality, %the axiom \verb|a-sim-b| is safely used. This is the gist of %the restriction stated in (2). During evaluation, it is sometimes desirable to see the rewrite sequences, not just the results. For example, to enhance efficiency, you may want to know where redundant computations of subterms occur. For this purpose, \cafeobj~provides trace switches, which can be set by\index{\texttt{set}} \index{\texttt{trace}}\index{\texttt{trace whole}}\index{\texttt{whole}} \index{trace (of evaluation)} \begin{vvtm} \begin{ccode} CafeOBJ> set trace whole on \end{ccode} \end{vvtm} by which the resultant term of each rewrite step is printed, or \begin{vvtm} \begin{ccode} CafeOBJ> set trace on \end{ccode} \end{vvtm} by which the rule, substitution, and replacement are printed. The effects of these switches shall be illustrated by examples below. \subsection{Replacing Equals by Equals}\label{sec:p2-eval-exs-1} Recall \verb|SIMPLE-NAT| (Section \ref{exs:simple-nat}) again, make it current, and do some evaluations. \begin{vvtm} \begin{ccode} SIMPLE-NAT> reduce 0 . -- reduce in SIMPLE-NAT : 0 0 : Zero (0.000 sec for parse, 0 rewrites(0.000 sec), 0 matches) SIMPLE-NAT> reduce 0 + s(0) . -- reduce in SIMPLE-NAT : 0 + s(0) s(0) : NzNat (0.000 sec for parse, 1 rewrites(0.000 sec), 1 matches) SIMPLE-NAT> reduce s(0) + 0 . -- reduce in SIMPLE-NAT : s(0) + 0 s(0) : NzNat (0.010 sec for parse, 2 rewrites(0.000 sec), 3 matches) SIMPLE-NAT> \end{ccode} \end{vvtm} The output from the system has three parts, showing the system's understanding of what to do (the line starting with ``\verb|--|''), the result of evaluation (the second line), and what looks like statistics (in parentheses). The result is of the form \begin{vvtm} \begin{ccode} term : sort \end{ccode} \end{vvtm} where \verb|sort| is the least sort (Section \ref{sec:p2-wff-terms}) of \verb|term|. You may print the rules of \verb|SIMPLE-NAT| as follows.\index{\texttt{show}} \index{\texttt{rules}} \begin{vvtm} \begin{ccode} SIMPLE-NAT> show rules -- rewrite rules in module : SIMPLE-NAT 1 : eq 0 + N = N 2 : eq s(N) + N' = s(N + N') SIMPLE-NAT> \end{ccode} \end{vvtm} Note that all the axioms of the implicitly imported \verb|BOOL| are also in the TRS, but were not printed above. It is possible to print all the rules, including those declared in the imported modules, by an extra argument to \verb|show|. \begin{vvtm} \begin{ccode} SIMPLE-NAT> show all rules -- rewrite rules in module : SIMPLE-NAT 1 : eq 0 + N = N 2 : eq s(N) + N' = s(N + N') 3 : eq not true = false 4 : eq not false = true 5 : eq false and A:Bool = false 6 : eq true or A:Bool = true 7 : eq true and-also A:Bool = A:Bool 8 : eq A:Bool and-also true = A:Bool 9 : eq false and-also A:Bool = false 10 : eq A:Bool and-also false = false 11 : eq true or-else A:Bool = true 12 : eq A:Bool or-else true = true 13 : eq false or-else A:Bool = A:Bool 14 : eq A:Bool or-else false = A:Bool 15 : eq A:Bool implies B:Bool = not A:Bool or B:Bool 16 : eq true xor true = false 17 : eq CXU : Id:SortId = #!! (coerce-to-bool (test-term-sort-membership cxu id)) 18 : eq if true then CXU else CYU fi = CXU 19 : eq if false then CXU else CYU fi = CYU 20 : eq CXU == CYU = #!! (coerce-to-bool (term-equational-equal cxu cyu)) 21 : eq HXU =b= HYU = #!! (coerce-to-bool (term-equational-equal hxu hyu)) 22 : eq CXU =/= CYU = #!! (coerce-to-bool (not (term-equational-equal cxu cyu))) SIMPLE-NAT> \end{ccode} \end{vvtm} \begin{warning} The righthand sides of the rules \verb|17| and so on contain a strange symbol \verb|#!!|, and the terms that follow suspiciously resemble Lisp's S-expressions. These are examples of system-dependent definitions of operators. If you are not confident enough about implementation issues, do not touch these definitions. \end{warning} Since the axioms of \verb|SIMPLE-NAT| are all equations, the results of \verb|reduce| and \verb|execute| should be the same. Indeed, you have \begin{vvtm} \begin{ccode} SIMPLE-NAT> execute 0 + s(0) . -- execute in SIMPLE-NAT : 0 + s(0) s(0) : NzNat (0.010 sec for parse, 1 rewrites(0.000 sec), 1 matches) SIMPLE-NAT> execute s(0) + 0 . -- execute in SIMPLE-NAT : s(0) + 0 s(0) : NzNat (0.000 sec for parse, 2 rewrites(0.000 sec), 3 matches) SIMPLE-NAT> \end{ccode} \end{vvtm} The statistics may be suppressed by a switch.\index{\texttt{set}} \index{\texttt{stats}} \begin{vvtm} \begin{ccode} SIMPLE-NAT> set stats off SIMPLE-NAT> reduce s(0) + 0 . -- reduce in SIMPLE-NAT : s(0) + 0 s(0) : NzNat SIMPLE-NAT> \end{ccode} \end{vvtm} \begin{warning} \verb|stats| is not an abbreviation. \end{warning} \subsection{Equations and Transitions}\label{sec:p2-eval-exs-2} To see the difference between \verb|execute| and \verb|reduce|, we switch to \verb|CHOICE-NAT| (Section \ref{exs:choice-nat}). \begin{vvtm} \begin{ccode} SIMPLE-NAT> select CHOICE-NAT CHOICE-NAT> set stats on CHOICE-NAT> reduce s(0) | (s(s(0)) + s(s(s(0)))) . -- reduce in CHOICE-NAT : s(0) | (s(s(0)) + s(s(s(0)))) s(0) | s(s(s(s(s(0))))) : Nat (0.010 sec for parse, 3 rewrites(0.000 sec), 5 matches) CHOICE-NAT> execute s(0) | (s(s(0)) + s(s(s(0)))) . -- execute in CHOICE-NAT : s(0) | (s(s(0)) + s(s(s(0)))) s(0) : NzNat (0.000 sec for parse, 1 rewrites(0.000 sec), 1 matches) CHOICE-NAT> show all rules -- rewrite rules in module : CHOICE-NAT 1 : ceq cv1:Nat | cv2:Nat ==> cv3:Nat | cv4:Nat = true if cv1:Nat ==> cv3:Nat and cv2:Nat ==> cv4:Nat 2 : ceq s(cv1:Nat) ==> s(cv2:Nat) = true if cv1:Nat ==> cv2:Nat 3 : ceq cv1:Nat + cv2:Nat ==> cv3:Nat + cv4:Nat = true if cv1:Nat ==> cv3:Nat and cv2:Nat ==> cv4:Nat 4 : eq N | N' ==> N' = true 5 : eq N | N' ==> N = true 6 : trans N | N' => N 7 : trans N | N' => N' 8 : eq 0 + N = N 9 : eq s(N) + N' = s(N + N') 10 : ... \end{ccode} \end{vvtm} We omitted the rest of the listing, which contains axioms in \verb|BOOL|. \verb|reduce| command ignores transition declarations \verb|6| and \verb|7|, so the reduction stopped after rewriting the second argument of \verb+_|_+. \verb|execute| applied the rule \verb|6| immediately, and just one rewrite (see the statistics) led to the result. \begin{warning} Technically, the TRS faithful to the underlying model should be a TRS, derived entirely from transitions, over equivalence classes of terms, determined by equations. The current system does not distinguish transitions and equations during evaluation, and acts faithfully only when certain conditions are satisfied. For detail, see \cite{rew-logic}. \end{warning} \subsection{Using Behavioural Equations}\label{sec:p2-eval-exs-3} As a matter of course, behavioural equations can be used to prove behavioural equivalence. With judicious use, they can also be used to prove equality. Consider the following example. \label{exs:nat-stream} \begin{vvtm} \begin{ccode} module* NAT-STREAM { protecting (SIMPLE-NAT) *[ Stream ]* bop __ : Nat Stream -> Stream bop hd : Stream -> Nat bop tl : Stream -> Stream op zeros : -> Stream var N : Nat var S : Stream eq hd(N S) = N . beq tl(N S) = S . eq hd(zeros) = 0 . beq tl(zeros) = zeros . } \end{ccode} \end{vvtm} A behavioural equation asserts that \verb|tl(n s)| is behaviourally equivalent to \verb|s| for any \verb|n| and \verb|s|, but does not assert that they are equal. Therefore, on the one hand, it is incorrect to reason that \verb|tl(s(0) zeros)| equals \verb|zeros| from this axiom. On the other hand, it is correct to reason that \verb|hd(tl(s(0) zeros))| is equal to \verb|hd(zeros)| and hence to \verb|0|, since \verb|hd|, being an observation on \verb|Stream|, gives the same answer if applied to behaviourally equivalent terms. In processing \verb|reduce|, the system tries to apply behavioural equations (as rewrite rules) only when the redex is under an observation, as shown below. \begin{vvtm} \begin{ccode} CafeOBJ> select NAT-STREAM NAT-STREAM> reduce hd(tl(s(0) zeros)) . -- reduce in NAT-STREAM : hd(tl(s(0) zeros)) 0 : Zero (0.010 sec for parse, 2 rewrites(0.000 sec), 3 matches) NAT-STREAM> reduce tl(s(0) zeros) . -- reduce in NAT-STREAM: tl(s(0) zeros) tl(s(0) zeros) : Stream (0.000 sec for parse, 0 rewrites(0.000 sec), 0 matches) NAT-STREAM> \end{ccode} \end{vvtm} Compare the above result to the case when \verb|breduce| is invoked instead. Since this command is to get an behaviourally equivalent term, the system applies behavioural equations indiscriminately, as \begin{vvtm} \begin{ccode} NAT-STREAM> breduce tl(s(0) zeros) . -- behavioural reduce in NAT-STREAM : tl(s(0) zeros) zeros : Stream (0.000 sec for parse, 1 rewrites(0.000 sec), 1 matches) NAT-STREAM> \end{ccode} \end{vvtm} \subsection{Evaluation Traces}\label{sec:p2-eval-trace} We continue the session of the previous section. The statistics contained the number of rewrites and match attempts. Reduction of ``\verb|0 + s(0)|'' and ``\verb|s(0) + 0|'' in Section \ref{sec:p2-eval-exs-1} amounts to computing $0 + 1$ and $1 + 0$ respectively, and the statistics showed that the efforts of computation were greater with $1 + 0$. You probably know why. To confirm your reasoning, try trace switches.\index{\texttt{trace whole}}\index{trace (of evaluation)} \begin{vvtm} \begin{ccode} CHOICE-NAT> select SIMPLE-NAT SIMPLE-NAT> set trace whole on SIMPLE-NAT> reduce 0 + s(0) . -- reduce in SIMPLE-NAT : 0 + s(0) [1]: 0 + s(0) ---> s(0) s(0) : NzNat (0.000 sec for parse, 1 rewrites(0.000 sec), 1 matches) SIMPLE-NAT> reduce s(0) + 0 . -- reduce in SIMPLE-NAT : s(0) + 0 [1]: s(0) + 0 ---> s(0 + 0) [2]: s(0 + 0) ---> s(0) s(0) : NzNat (0.000 sec for parse, 2 rewrites(0.010 sec), 3 matches) SIMPLE-NAT> \end{ccode} \end{vvtm} The system printed the reduction traces. They show that the first reduction immediately cancelled a right identity zero, while the second reduction, which could not rely on the knowledge that zero is also a left identity, took two rewrites to get the result. Sometimes more elaborate traces are desirable.\index{\texttt{trace}} \begin{vvtm} \begin{ccode} SIMPLE-NAT> set trace whole off SIMPLE-NAT> set trace on SIMPLE-NAT> reduce s(0) + 0 . -- reduce in SIMPLE-NAT : s(0) + 0 1>[1] rule: eq s(N:Nat) + N':Nat = s(N:Nat + N':Nat) { N':Nat |-> 0, N:Nat |-> 0 } 1<[1] s(0) + 0 --> s(0 + 0) 1>[2] rule: eq 0 + N:Nat = N:Nat { N:Nat |-> 0 } 1<[2] 0 + 0 --> 0 s(0) : NzNat (0.000 sec for parse, 2 rewrites(0.000 sec), 3 matches) SIMPLE-NAT> \end{ccode} \end{vvtm} This time, each rewrite step was explained in more detail. The three lines starting with ``\verb|1>|'' correspond to a single step. They show the rewrite rule (i.e. equation or transition) applied, the substitution used, and the replacement. ``\verb|trace whole|'' switch traces the entire term, while replacements shown by \verb|trace| switch focus on the changed subterms. This difference was illustrated by the last step of this example, where ``\verb|trace whole|'' printed \begin{vvtm} \begin{ccode} [2] s(0 + 0) --> s(0) \end{ccode} \end{vvtm} while \verb|trace| printed \begin{vvtm} \begin{ccode} [2] 0 + 0 --> 0 \end{ccode} \end{vvtm} \subsection{Examples of Conditionals}\label{sec:p2-ex-cond} To illustrate the r{\^ o}le of conditions, we first define an operator that computes greatest common divisors by filling more meat in the bony \verb|SIMPLE-NAT|.\label{exs:simple-nat+}\label{exs:gcd} \begin{vvtm} \begin{ccode} module SIMPLE-NAT+ { protecting (SIMPLE-NAT) op _-_ : Nat Nat -> Nat op _<_ : Nat Nat -> Bool -- --------------------- vars N M : Nat eq 0 - M = 0 . eq N - 0 = N . eq s(N) - s(M) = N - M . eq 0 < s(N) = true . eq N < 0 = false . eq s(N) < s(M) = N < M . } module GCD { protecting (SIMPLE-NAT+) op gcd : Nat Nat -> Nat -- -------------------- vars N M : Nat ceq gcd(N, M) = gcd(M, N) if N < M . eq gcd(N, 0) = N . ceq gcd(s(N), s(M)) = gcd(s(N) - s(M), s(M)) if not (N < M) . } \end{ccode} \end{vvtm} The definitions of the pseudo-subtraction and the less than relation are more or less standard. \verb|gcd| is defined by conditional equations. Note that \verb|BOOL| is imported implicitly, so that all the operators in it, like ``\verb|not_|'' here, are available. To see how these definitions work, continue the session in the previous section. Feed the modules to the system, and try as follows. \begin{vvtm} \begin{ccode} SIMPLE-NAT> set trace off SIMPLE-NAT> select GCD GCD> reduce gcd(s(s(s(s(s(s(0)))))), s(s(s(s(0))))) . -- reduce in GCD : gcd(s(s(s(s(s(s(0)))))),s(s(s(s(0))))) s(s(0)) : NzNat (0.000 sec for parse, 44 rewrites(0.010 sec), 113 matches) GCD> \end{ccode} \end{vvtm} The reduction amounts to computing the greatest common divisor of $6$ and $4$. The statistics show that the system worked much harder than ever. You may get traces as before. Since the output is largish, we show traces of simpler computations (but this is still large). \begin{vvtm} \begin{ccode} GCD> set trace whole on GCD> reduce gcd(s(s(s(s(0)))), s(s(0))) . -- reduce in GCD : gcd(s(s(s(s(0)))),s(s(0))) [1(cond)]: s(s(s(s(0)))) < s(s(0)) --> s(s(s(0))) < s(0) [2(cond)]: s(s(s(0))) < s(0) --> s(s(0)) < 0 [3(cond)]: s(s(0)) < 0 --> false [4(cond)]: not s(s(s(0))) < s(0) --> not s(s(0)) < 0 [5(cond)]: not s(s(0)) < 0 --> not false [6(cond)]: not false --> true [7]: gcd(s(s(s(s(0)))),s(s(0))) ---> gcd(s(s(s(s(0)))) - s(s(0)),s(s(0))) [8]: gcd(s(s(s(s(0)))) - s(s(0)),s(s(0))) ---> gcd(s(s(s(0))) - s(0),s(s(0))) [9]: gcd(s(s(s(0))) - s(0),s(s(0))) ---> gcd(s(s(0)) - 0,s(s(0))) [10]: gcd(s(s(0)) - 0,s(s(0))) ---> gcd(s(s(0)),s(s(0))) [11(cond)]: s(s(0)) < s(s(0)) --> s(0) < s(0) [12(cond)]: s(0) < s(0) --> 0 < 0 [13(cond)]: 0 < 0 --> false [14(cond)]: not s(0) < s(0) --> not 0 < 0 [15(cond)]: not 0 < 0 --> not false [16(cond)]: not false --> true [17]: gcd(s(s(0)),s(s(0))) ---> gcd(s(s(0)) - s(s(0)),s(s(0))) [18]: gcd(s(s(0)) - s(s(0)),s(s(0))) ---> gcd(s(0) - s(0),s(s(0))) [19]: gcd(s(0) - s(0),s(s(0))) ---> gcd(0 - 0,s(s(0))) [20]: gcd(0 - 0,s(s(0))) ---> gcd(0,s(s(0))) [21(cond)]: 0 < s(s(0)) --> true [22]: gcd(0,s(s(0))) ---> gcd(s(s(0)),0) [23(cond)]: s(s(0)) < 0 --> false [24]: gcd(s(s(0)),0) ---> s(s(0)) s(s(0)) : NzNat (0.000 sec for parse, 24 rewrites(0.070 sec), 60 matches) GCD> \end{ccode} \end{vvtm} The apparent difference from the previous traces is the presence of ``\verb|[(#)cond]|'' steps. As explained in Section \ref{sec:p2-trs-basic}, the system reduces conditions when it checks applicability of conditional rewrite rules. The above trace was the \index{conditional rewrite rule} result of following all of those recursive evaluations. For brevity we now resort to a very simple computation, and show only the initial part of the initial trace. \begin{vvtm} \begin{ccode} GCD> set trace whole off GCD> set trace on GCD> reduce gcd(s(s(0)),s(s(0))) . -- reduce in GCD : gcd(s(s(0)),s(s(0))) 1>[1] apply trial #1 -- rule: ceq gcd(N:Nat,M:Nat) = gcd(M:Nat,N:Nat) if N:Nat < M:Nat { M:Nat |-> s(s(0)), N:Nat |-> s(s(0)) } 2>[1] rule: eq s(N:Nat) < s(M:Nat) = N:Nat < M:Nat { M:Nat |-> s(0), N:Nat |-> s(0) } 2<[1] s(s(0)) < s(s(0)) --> s(0) < s(0) 2>[2] rule: eq s(N:Nat) < s(M:Nat) = N:Nat < M:Nat { M:Nat |-> 0, N:Nat |-> 0 } 2<[2] s(0) < s(0) --> 0 < 0 2>[3] rule: eq N:Nat < 0 = false { N:Nat |-> 0 } 2<[3] 0 < 0 --> false 1>[4] -- rewrite rule exhausted (#1) 1>[4] apply trial #2 -- rule: ceq gcd(s(N:Nat),s(M:Nat)) = gcd(s(N:Nat) - s(M:Nat),s(M:Nat) ) if not N:Nat < M:Nat { M:Nat |-> s(0), N:Nat |-> s(0) } 2>[4] rule: eq s(N:Nat) < s(M:Nat) = N:Nat < M:Nat { M:Nat |-> 0, N:Nat |-> 0 } 2<[4] s(0) < s(0) --> 0 < 0 2>[5] rule: eq N:Nat < 0 = false { N:Nat |-> 0 } 2<[5] 0 < 0 --> false 2>[6] rule: eq not false = true {} 2<[6] not false --> true 1>[7] match success #2 1<[7] gcd(s(s(0)),s(s(0))) --> gcd(s(s(0)) - s(s(0)),s(s(0))) \end{ccode} \end{vvtm} Note the appearances of ``\verb|2>|''. The number indicates the depth of recursion: evaluating conditions may lead to recursively evaluating conditions, and so on and on. Most of the output should be self-explanatory. The above trace shows two conditional rules were checked, first unsuccessfuly and second successfuly. \section{Stepper}\label{sec:p2-stepper} By taking traces, you may inspect in detail how reductions proceed, and modify axioms if they are not going as expected. The set of commands introduced in this section is for controlling reductions in more detail, and help you ``debug'' modules. \subsection{Step Mode}\label{sec:p2-step-mode} You may enter into/leave the step\index{step mode} mode by a switch. \index{\texttt{set}}\index{\texttt{step}} \begin{vvtm} \begin{ccode} CafeOBJ> set step on \end{ccode} \end{vvtm} In this mode, evaluation commands apply rewrite rules step by step. We first define multiplication.\label{exs:mult} \begin{vvtm} \begin{ccode} module MULT { protecting (SIMPLE-NAT) op _*_ : Nat Nat -> Nat vars N M : Nat eq 0 * N = 0 . eq s(N) * M = M + (N * M) . } \end{ccode} \end{vvtm} After feeding \verb|SIMPLE-NAT| and \verb|MULT|, you may get the following session. \begin{vvtm} \begin{ccode} CafeOBJ> select MULT MULT> set step on MULT> reduce s(s(0)) * s(s(s(0))) . -- reduce in MULT : s(s(0)) * s(s(s(0))) >> stepper term: s(s(0)) * s(s(s(0))) STEP[1]? \end{ccode} \end{vvtm} The new prompt indicates you are in the step mode. You may list the commands available in this mode by the help command ``\verb|:?|''.\index{\texttt{:?}} \begin{vvtm} \begin{ccode} STEP[1]? :? -- Stepper command help : ? print out this help n(ext) go one step g(o) go step c(ontinue) continue rewriting without stepping q(uit) leave stepper continuing rewrite a(bort) abort rewriting r(ule) print out current rewrite rule s(subst) print out substitution l(imit) print out rewrite limit count p(attern) print out stop pattern stop [] . set(unset) stop pattern rwt [] .set(unset) max number of rewrite -- the followings are subset of cafeobj interpreter commands show -or- describe print various info., for further help, type `show ?' set set toplevel switches, for further help: type `set ?' cd change current directory ls list files in directory pwd print current directory lisp -or- lispq evaluate lisp expression ! fork shell . Under Unix only STEP[1]? \end{ccode} \end{vvtm} Some of them, such as \verb|show|, \verb|set|, and \verb|cd|, should be familiar. They are not particular to the step mode. Particular to the mode are the commands prefixed by ``\verb|:|'', in addition to \verb|rwt| and \verb|stop|. The prefix ``\verb|:|'' may be omitted, and there are longer forms for some step mode commands. Here is a summary of synonyms. \index{\texttt{:h}}\index{\texttt{?}}\index{\texttt{h}} \index{\texttt{:help}}\index{\texttt{help}} \index{\texttt{:n}}\index{\texttt{n}}\index{\texttt{:next}}\index{\texttt{next}} \index{\texttt{:g}}\index{\texttt{g}}\index{\texttt{:go}}\index{\texttt{go}} \index{\texttt{:c}}\index{\texttt{c}}\index{\texttt{:continue}}\index{\texttt{continue}} \index{\texttt{:q}}\index{\texttt{q}} \index{\texttt{:a}}\index{\texttt{a}}\index{\texttt{:abort}}\index{\texttt{abort}} \index{\texttt{:r}}\index{\texttt{r}}\index{\texttt{:rule}}\index{\texttt{rule}} \index{\texttt{:s}}\index{\texttt{s}}\index{\texttt{:subst}}\index{\texttt{subst}} \index{\texttt{:l}}\index{\texttt{l}}\index{\texttt{:limit}}\index{\texttt{limit}} \index{\texttt{:p}}\index{\texttt{p}}\index{\texttt{:pattern}}\index{\texttt{pattern}} \index{\texttt{:rew}}\index{\texttt{rew}}\index{\texttt{:rewrite}}\index{\texttt{rewrite}} \index{\texttt{:stop}}\index{\texttt{stop}} \begin{center} \begin{tabular}{llll} \verb|:?|, \verb|:h| & \verb|?|, \verb|h| & \verb|:help| & \verb|help| \\ \verb|:n| & \verb|n| & \verb|:next| & \verb|next| \\ \verb|:g| & \verb|g| & \verb|:go| & \verb|go| \\ \verb|:c| & \verb|c| & \verb|:continue| & \verb|continue| \\ \verb|:q| & \verb|q| & & \\ \verb|:a| & \verb|a| & \verb|:abort| & \verb|abort| \\ \verb|:r| & \verb|r| & \verb|:rule| & \verb|rule| \\ \verb|:s| & \verb|s| & \verb|:subst| & \verb|subst| \\ \verb|:l| & \verb|l| & \verb|:limit| & \verb|limit| \\ \verb|:p| & \verb|p| & \verb|:pattern| & \verb|pattern| \\ \verb|:rwt| & \verb|rwt| & \verb|:rewrite| & \verb|rewrite| \\ & & \verb|:stop| & \verb|stop| \\ \end{tabular} \end{center} \begin{warning} The command names are tentative, and are subject to change. \end{warning} \subsection{Evaluation Under the Step Mode}\label{sec:p2-eval-step-mode} Continuing the session in the previous section, we illustrate the effects of each command.\index{\texttt{:n}} \begin{vvtm} \begin{ccode} STEP[1]? :n >> stepper term: s(s(s(0))) + (s(0) * s(s(s(0)))) STEP[2]? :n >> stepper term: s(s(0)) + (s(0) * s(s(s(0)))) STEP[3]? :n >> stepper term: s(0) + (s(0) * s(s(s(0)))) STEP[4]? \end{ccode} \end{vvtm} ``\verb|:n|'' prints a kind of traces, but beware that the printed term is a subterm under replacement. You may print the current form of the entire term as\index{\texttt{show}}\index{\texttt{term}} \begin{vvtm} \begin{ccode} STEP[4]? show term s(s((s(0) + (s(0) * s(s(s(0))))))) : NzNat STEP[4]? \end{ccode} \end{vvtm} Or you may get a better (if longer) trace if that is what you want, by setting ``\verb|trace whole|'' to \verb|on|. Starting from the first step, the output is \begin{vvtm} \begin{ccode} MULT> set trace whole on MULT> reduce s(s(0)) * s(s(s(0))) . -- reduce in MULT : s(s(0)) * s(s(s(0))) >> stepper term: s(s(0)) * s(s(s(0))) STEP[1]? :n [1]: s(s(0)) * s(s(s(0))) ---> s(s(s(0))) + (s(0) * s(s(s(0)))) >> stepper term: s(s(s(0))) + (s(0) * s(s(s(0)))) STEP[2]? :n [2]: s(s(s(0))) + (s(0) * s(s(s(0)))) ---> s(s(s(0)) + (s(0) * s(s(s(0))))) >> stepper term: s(s(0)) + (s(0) * s(s(s(0)))) STEP[3]? :n [3]: s(s(s(0)) + (s(0) * s(s(s(0))))) ---> s(s(s(0) + (s(0) * s(s(s(0)))))) >> stepper term: s(0) + (s(0) * s(s(s(0)))) STEP[4]? \end{ccode} \end{vvtm} which shows the stepper is focusing more and more inside. To skip several steps, use \verb|:g|.\index{\texttt{:g}} \begin{vvtm} \begin{ccode} STEP[4]? set trace whole off STEP[4]? :g 5 >> stepper term: s(0) + (0 * s(s(s(0)))) STEP[9]? :g 5 s(s(s(s(s(s(0)))))) : NzNat (0.010 sec for parse, 11 rewrites(0.040 sec), 19 matches) MULT> \end{ccode} \end{vvtm} \verb|show| command may take arguments \verb|term| {\em and} \verb|tree|. Then a tree form of the term is printed (See Section \ref{sec:p2-choose-command} for an example). The rest of the commands act as follows. \begin{vvtm} \begin{ccode} MULT> reduce s(s(0)) * s(s(s(0))) . -- reduce in MULT : s(s(0)) * s(s(s(0))) >> stepper term: s(s(0)) * s(s(s(0))) STEP[1]? :a s(s(0)) * s(s(s(0))) : Nat (0.000 sec for parse, 1 rewrites(0.000 sec), 2 matches) MULT> \end{ccode} \end{vvtm} ``\verb|:a|'' stops the evaluation immediately.\index{\texttt{:a}} \begin{vvtm} \begin{ccode} MULT> reduce s(s(0)) * s(s(s(0))) . -- reduce in MULT : s(s(0)) * s(s(s(0))) >> stepper term: s(s(0)) * s(s(s(0))) STEP[1]? :n >> stepper term: s(s(s(0))) + (s(0) * s(s(s(0)))) STEP[2]? :r (s(N:Nat) + N':Nat) = s((N:Nat + N':Nat)) STEP[2]? :s { N':Nat |-> s(0) * s(s(s(0))), N |-> s(s(0)) } STEP[2]? :c s(s(s(s(s(s(0)))))) : NzNat (0.000 sec for parse, 11 rewrites(0.010 sec), 19 matches) MULT> \end{ccode} \end{vvtm} ``\verb|:r|'' and ``\verb|:s|'' show the rule and the substitution to be used in the {\em next} step (study the above example carefully). ``\verb|:c|'' continues the evaluation non-stop. \index{\texttt{:r}}\index{\texttt{:s}}\index{\texttt{:c}} \begin{vvtm} \begin{ccode} MULT> reduce s(s(0)) * s(s(s(0))) . -- reduce in MULT : s(s(0)) * s(s(s(0))) >> stepper term: s(s(0)) * s(s(s(0))) STEP[1]? :q s(s(s(s(s(s(0)))))) : NzNat (0.000 sec for parse, 11 rewrites(0.010 sec), 19 matches) MULT> reduce s(s(0)) * s(0) . -- reduce in MULT : s(s(0)) * s(0) s(s(0)) : NzNat (0.000 sec for parse, 7 rewrites(0.000 sec), 11 matches) MULT> \end{ccode} \end{vvtm} ``\verb|:q|'' forces the system to leave the step mode, as the above example shows.\index{\texttt{:q}} For ``\verb|:l|'' and ``\verb|:p|'', see the next section. \subsection{Controlled Reduction, by Patterns} \label{sec:p2-control-reduction-pat} It is possible to stop reductions when a certain pattern is found. \begin{bsyntax} \texttt{stop} command \index{\texttt{stop}} \Hline \texttt{stop} \textit{term} ``\texttt{.}'' \texttt{stop} ``\texttt{.}'' \end{bsyntax} where a term is a term in the current module context (Section \ref{sec:p2-current-module}), and may contain variables. Do not forget the last blank-period stopper. This command causes reductions to stop when the reductants get to containing subterms that match the given term. If no term is given, this restriction is lifted. Alternatively, you may use \verb|set|\index{\texttt{set}} command, as\index{\texttt{stop}}\index{\texttt{pattern}} \begin{vvtm} \begin{ccode} CafeOBJ> set stop pattern t . \end{ccode} \end{vvtm} where \verb|t| is a term. \begin{warning} This command is fast becoming obsolete, and it is advisable to use the above \verb|set| command instead. \end{warning} We continue the session with \verb|MULT| (Note that the \verb|step| switch is still \verb|on|).\index{\texttt{:p}} \begin{vvtm} \begin{ccode} MULT> set stop pattern 0 * N:Nat . MULT> reduce s(s(0)) * s(s(s(0))) . -- reduce in MULT : s(s(0)) * s(s(s(0))) >> stepper term: s(s(0)) * s(s(s(0))) STEP[1]? :p [stop pattern]: (0 * N:Nat) STEP[1]? :c >> subterm : 0 * s(s(s(0))) of term : s(s(s(s(s(s(0))) + (0 * s(s(s(0))))))) matches to stop pattern: 0 * N << will stop rewriting >> stop because matches stop pattern. >> stepper term: s(s(s(0))) + (0 * s(s(s(0)))) STEP[7]? set stop pattern . STEP[7]? :c s(s(s(s(s(s(0)))))) : NzNat (0.010 sec for parse, 11 rewrites(0.030 sec), 19 matches) MULT> \end{ccode} \end{vvtm} ``\verb|:p|'' prints the term given by \verb|set| command, and ``\verb|:c|'' resumes reduction. The system stopped when a matching term appeared, as requested. After the restriction was lifted, the reduction continued uninterrupted. You may print the current pattern as\index{\texttt{show}}\index{\texttt{stop}} \begin{vvtm} \begin{ccode} STEP[1]? show stop [stop pattern]: (0 * N:Nat) STEP[1]? \end{ccode} \end{vvtm} instead of \verb|:p|. This command can be invoked without entering the stepper. In fact, pattern restrictions may be used outside the stepper. For example,\index{\texttt{show}}\index{\texttt{stop}} \begin{vvtm} \begin{ccode} MULT> set step off MULT> set stop pattern 0 * N:Nat . MULT> show stop [stop pattern]: (0 * N:Nat) MULT> reduce s(s(0)) * s(s(s(0))) . -- reduce in MULT : s(s(0)) * s(s(s(0))) >> subterm : 0 * s(s(s(0))) of term : s(s(s(s(s(s(0))) + (0 * s(s(s(0))))))) matches to stop pattern: 0 * N << will stop rewriting s(s(s(s(s(s(0))) + (0 * s(s(s(0))))))) : NzNat (0.000 sec for parse, 6 rewrites(0.010 sec), 12 matches) MULT> \end{ccode} \end{vvtm} The pattern restriction forced the reduction to terminate. As shown above, \verb|show| command with \verb|stop| argument prints the specified pattern. You should use this command, instead of ``\verb|:p|'' (the latter is recognised only within the stepper). \begin{warning} It is not possible to specify more than one patterns, or more complicated patterns using e.g. regular expressions. If demands are strong, the future versions may enhance the pattern description facility. \end{warning} \subsection{Controlled Reduction, by Number of Steps} \label{sec:p2-control-reduction-limit} It is possible to control reductions by limiting rewrite steps. Enter the stepper again.\index{\texttt{rwt}}\index{\texttt{limit}} \begin{vvtm} \begin{ccode} MULT> set step on MULT> set stop pattern . MULT> reduce s(s(0)) * s(s(s(0))) . -- reduce in MULT : s(s(0)) * s(s(s(0))) >> stepper term: s(s(0)) * s(s(s(0))) STEP[1]? rwt 10 STEP[1]? :c >> aborting rewrite due to rewrite count limit (= 10) << s(s(s(s(s(s(0 * s(s(s(0))))))))) : NzNat (0.000 sec for parse, 10 rewrites(0.020 sec), 18 matches) MULT> \end{ccode} \end{vvtm} \verb|rwt| command in the stepper forced the reduction to abort, after 10 rewrite steps. Note that, unlike ``\verb|:g|'' command, the system aborted the reduction, not just suspended it. It is possible to limit rewrite steps outside the stepper. \index{\texttt{set}}\index{\texttt{rwt}}\index{\texttt{limit}} \begin{vvtm} \begin{ccode} MULT> set step off MULT> set rwt limit 5 MULT> reduce s(s(0)) * s(s(s(0))) . -- reduce in MULT : s(s(0)) * s(s(s(0))) >> aborting rewrite due to rewrite count limit (= 5) << s(s(s(s(0) * s(s(s(0)))))) : NzNat (0.000 sec for parse, 5 rewrites(0.000 sec), 9 matches) MULT> \end{ccode} \end{vvtm} You should use \verb|set| command, instead of \verb|rwt| command (the latter is recognised only in the stepper). To lift the restriction, set the limit to \verb|.|\index{\texttt{show}}\index{\texttt{limit}} \begin{vvtm} \begin{ccode} MULT> set rwt limit . MULT> show limit [rewrite limit]: not specified. MULT> reduce s(s(0)) * s(s(s(0))) . -- reduce in MULT : s(s(0)) * s(s(s(0))) s(s(s(s(s(s(0)))))) : NzNat (0.000 sec for parse, 11 rewrites(0.000 sec), 19 matches) MULT> \end{ccode} \end{vvtm} As shown above, \verb|show| command with \verb|limit| argument prints the specified limit. If both the pattern and limit restrictions are in force, the system aborts reductions at the earliest opportunity. \section{Faster Evaluation}\label{sec:p2-tram-brute} Such commands as \verb|reduce| treat terms and rewrite rules as Lisp objects, and the rewrite procedure manipulates these objects directly. If the rule set is huge, and/or the term is or will grow large, the system may become uncomfortably slow. A way to overcome the discomfort is to invest in a faster machine with a larger memory, of course, but there is another, cheaper way. For faster evaluation, you may encode rewrite rules into an abstract machine, and reduce terms by executing that machine, with the following command. \begin{bsyntax} \texttt{tram} command for evaluation\index{\texttt{tram}}\index{\texttt{reduce}} \Hline \index{\texttt{execute}} \texttt{tram} $\{$ \texttt{reduce} $|$ \texttt{execute} $\}$ $[$\texttt{in} \textit{module\_expression} ``\texttt{:}''$]$ \textit{term} ``\texttt{.}'' \end{bsyntax} \verb|reduce|, \verb|execute| may be abbreviated to \verb|red|, \verb|exec| respectively. The command acts like \verb|reduce| or \verb|execute| and reduces the given term. If the module expression is omitted, the reduction occurs in the current module. \begin{warning} The compiled code does not distinguish behavioural axioms as such, and \verb|reduce| option acts like \verb|breduce| command. \end{warning} Upon accepting the command, the system \begin{itemize} \item[1.] Compiles the rewrite rules of the module into an abstract machine, if they have not been compiled already; Then it \item[2.] Runs the abstract machine on the given term. \end{itemize} The output you get is more or less the same as when \verb|reduce| or \verb|execute| commands are used. For example, with \verb|MULT| (Section \ref{exs:mult}), you have \begin{vvtm} \begin{ccode} MULT> tram reduce s(s(s(0))) * (s(s(s(s(s(0))))) * s(s(s(s(s(0)))))) . -- reduce in MULT : s(s(s(0))) * (s(s(s(s(s(0))))) * s(s(s(s(s(0) ))))) s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s( s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s( s(s(s(s(s(s(s(s(s(s(s(0)))))))))))))))))))))))))))))))))))))) ))))))))))))))))))))))))))))))))))))) : NzNat (rtime 3 utime 3 stime 0 rewrite 118 gc 0) MULT> \end{ccode} \end{vvtm} For comparison, the corresponding ordinary evaluation works as follows. \begin{vvtm} \begin{ccode} MULT> reduce s(s(s(0))) * (s(s(s(s(s(0))))) * s(s(s(s(s(0)))))) . -- reduce in MULT : s(s(s(0))) * (s(s(s(s(s(0))))) * s(s(s(s(s(0) ))))) s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s( s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s( s(s(s(s(s(s(s(s(s(s(0)))))))))))))))))))))))))))))))))))))))))) ))))))))))))))))))))))))))))))))) : NzNat (0.010 sec for parse, 118 rewrites(0.020 sec), 226 matches) MULT> \end{ccode} \end{vvtm} Compilation is done only once, when \verb|tram| command is first used on the given module. You may just compile a module as a preparation, by \begin{bsyntax} \texttt{tram} command for compilation \index{\texttt{tram}} \Hline \index{\texttt{compile}} \texttt{tram} \texttt{compile} $[$\texttt{-exec}$]$ $[$\textit{module\_expression}$]$ ``\texttt{.}'' \end{bsyntax} If the module expression is omitted, the current module is assumed. If \verb|-exec| is given, transitions as well as equations are compiled (i.e., for \verb|exec|). For this command, \verb|-e|, \verb|-all|, and \verb|-a| are all synonymous to \verb|-exec|. \begin{warning} \verb|reduce| and \verb|execute| use different sets of rules. Therefore, if you have compiled a module already for \verb|reduce| and try \verb|tram| with \verb|execute| option, the system recompile the module. \end{warning} \begin{warning} Do not forget the last period preceded by a blank. \end{warning} Compilation into and execution of abstract machines are taken care of by an indepent program, called \verb|tram| or \verb|brute|. So you have to tell the system where it is. The command\index{\texttt{switch}} \begin{vvtm} \begin{ccode} CafeOBJ> set tram path /home/irene/bin/tram \end{ccode} \end{vvtm} directs the system to the given path for this program. The default is \begin{vvtm} \begin{ccode} /usr/local/bin/tram \end{ccode} \end{vvtm} \verb|tram| and \verb|brute| have quite different architectures and they both have limitations. For detail, see README in the distribution package. There is another switch related to \verb|tram|, although you may never use it. The command \begin{vvtm} \begin{ccode} CafeOBJ> set tram options someoptionsoftram \end{ccode} \end{vvtm} makes the system supply \verb|someoptionsoftram| as options whenever \verb|tram| is invoked. In normal usage, you need not know which options \verb|tram| or \verb|brute| takes. \section{Context Variable}\label{sec:p2-let-command} To help ease reading and writing terms, a {\em context variable} \index{context variable} facility is supported. \begin{bsyntax} \texttt{let} command \index{\texttt{let}} \Hline \texttt{let} \textit{identifier} ``\texttt{=}'' term ``\texttt{.}'' \end{bsyntax} The last period preceded by a blank is a must. An identifier is a character string and a term is a term in the current context (Section {sec:p2-current-module}). This command binds the given term to the identifier in the current context. The example below illustrates the usage, and shows how to print the binding state. \begin{vvtm} \begin{ccode} MULT> let a1 = s(0) + (s(s(0)) + s(s(s(0)))) . -- setting let variable "a1" to : (s(0) + (s(s(0)) + s(s(s(0))))) : Nat MULT> let a2 = s(s(s(0))) * (a1 * s(s(s(s(s(0)))))) . -- setting let variable "a2" to : (s(s(s(0))) * ((s(0) + (s(s(0)) + s(s(s(0))))) * s(s(s(s(s(0))))))) : Nat MULT> reduce a1 . -- reduce in MULT : s(0) + (s(s(0)) + s(s(s(0)))) s(s(s(s(s(s(0)))))) : NzNat (0.000 sec for parse, 5 rewrites(0.010 sec), 8 matches) MULT> reduce a2 . -- reduce in MULT : s(s(s(0))) * ((s(0) + (s(s(0)) + s(s(s(0))))) * s(s(s(s(s(0)))))) s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s( s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s( s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))) ))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ))))))))))))))) : NzNat (0.000 sec for parse, 145 rewrites(0.010 sec), 277 matches) MULT> show term a1 (s(0) + (s(s(0)) + s(s(s(0))))) : Nat MULT> \end{ccode} \end{vvtm} A context variable, once bound, may be used as a subterm in commands \verb|reduce|, \verb|parse|, \verb|let| itself, etc. Note that \verb|let| binds syntactically. \verb|reduce| commands above did not change the values of \verb|a1| or \verb|a2|. \verb|show| command was used to print the binding of \verb|a1|. To list all the bindings, use \verb|show| command again: \index{\texttt{show}}\index{\texttt{let}}\index{\texttt{binding}} \begin{vvtm} \begin{ccode} MULT> show let [bindings] a2 = s(s(s(0))) * ((s(0) + (s(s(0)) + s(s(s(0))))) * s(s(s(s(s(0)))))) a1 = s(0) + (s(s(0)) + s(s(s(0)))) MULT> \end{ccode} \end{vvtm} \verb|let| in the above command may be replaced by \verb|binding|. Context variables are local to each context. Continuing the above session, \begin{vvtm} \begin{ccode} MULT> select SIMPLE-NAT SIMPLE-NAT> let a1 = 0 . -- setting let variable "a1" to : 0 : Zero SIMPLE-NAT> show let [bindings] a1 = 0 SIMPLE-NAT> select MULT MULT> show let [bindings] a2 = s(s(s(0))) * ((s(0) + (s(s(0)) + s(s(s(0))))) * s(s(s(s(s(0)))))) a1 = s(0) + (s(s(0)) + s(s(s(0)))) MULT> \end{ccode} \end{vvtm} As shown above, context variables in \verb|MULT| and \verb|SIMPLE-NAT| are kept separately, and the same name may be used for different bindings. \begin{warning} As explained, context variables belong to individual modules. If you attempt to bind a context variable without setting a current module, the system complains --- it has no way to know whither the term came. \end{warning} By the way, you encountered not so small a term when \verb|a2| was reduced. It is very simple for the system to print such terms accurately, they may sometimes cause you nausea or headache. If you expect the terms to be large, and need to see only their broad outline, you can use a switch. \index{\texttt{print}}\index{\texttt{depth}} \begin{vvtm} \begin{ccode} CafeOBJ> set print depth 10 \end{ccode} \end{vvtm} tells the system to print terms up to the depth 10 (as trees). The default is ``unlimited'', and the depth of ``\verb|.|'' is interpreted as such. Continuing the above session, then, you get \begin{vvtm} \begin{ccode} MULT> set print depth 10 MULT> reduce a2 . -- reduce in MULT : s(s(s(0))) * ((s(0) + (s(s(0)) + s(s(s(0))))) * s(s(s(s(s(0)))))) s(s(s(s(s(s(s(s(s(s( ... )))))))))) : NzNat (0.000 sec for parse, 145 rewrites(0.010 sec), 277 matches) MULT> set print depth . MULT> reduce a2 . -- reduce in MULT : s(s(s(0))) * ((s(0) + (s(s(0)) + s(s(s(0))))) * s(s(s(s(s(0)))))) s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s( s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s( s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))) ))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ))))))))))))))) : NzNat (0.000 sec for parse, 145 rewrites(0.010 sec), 277 matches) MULT> \end{ccode} \end{vvtm} \section{Flexible Typing and Error Handling}\label{sec:p2-flexible-typing} \cafeobj~has a strong typing discipline. Although useful for static analyses, strong typing is sometimes too restrictive. There are cases where type mismatch could never happen, even though expressions are syntactically illegal. Or, rephrasing in the lexicon of TRS's, apparently ill-formed terms may reduce to well-formed terms. \cafeobj~appraises such phenomena, to offer a ``reasonably'' strong typing discipline. Consider a case when you try to apply an operator \begin{vvtm} \begin{ccode} op f : S -> S' \end{ccode} \end{vvtm} to a term of sort \verb|T|. \verb|S| and \verb|T| differ, so such an attempt should be rejected. Unless, that is, the relation \begin{vvtm} \begin{ccode} S < T \end{ccode} \end{vvtm} holds. Note well that, if \begin{vvtm} \begin{ccode} T < S \end{ccode} \end{vvtm} holds, \verb|f| can definitely apply to terms of \verb|T|. That is an essence of order-sorted logic. What we are saying here is that, if \verb|S| is a subsort of \verb|T| and a term \verb|t| is of sort \verb|T|, \verb|f(t)| may become (by evaluation) a well-formed term, since \verb|t| may reduce to a term \verb|t'| of sort \verb|S|. One way to accommodate the above case is to use so-called retract operators (c.f. \cite{OBJ}). \cafeobj~has adopted another approach. Let us see how it works. \subsection{Factorial of Rationals ($!?$)} A usual definition of the factorial is as follows. \label{exs:fact} \begin{vvtm} \begin{ccode} module FACT { protecting (RAT) op _! : Nat -> NzNat eq 0 ! = 1 . ceq N:Nat ! = N * (N - 1 !) if N > 0 . } \end{ccode} \end{vvtm} where the factorial is declared as a postfix operator \verb|_!|, as is the convention. \verb|RAT| is a built-in module of rationals. You may point out that rationals are irrelevant to the factorial. They are, and this module is certainly artificial: it is only declared to show that we can compute the factorial of rationals. Well, sometimes. The sort ordering in \verb|RAT| defines the graph \begin{center} % \begin{diagram} % &&\mbox\texttt{Rat} \\ % &\ldTo&\dTo \\ % \mbox\texttt{NzRat} && \mbox\texttt{Int} \\ % \dTo&\ldTo&\dTo \\ % \mbox\texttt{NzInt} &&\mbox\texttt{Nat} \\ % \dTo&\ldTo&\dTo\\ % \mbox\texttt{NzNat} &&\mbox\texttt{Zero} % \end{diagram} \end{center} All these sorts are of familiar kind: \verb|Rat|, \verb|Int|, \verb|Nat| are the sorts of rationals, integers, and natural numbers respectively, and \verb|Nz| means non-zero. \verb|Zero| is a one-point set, containing 0. Unlike our \verb|SIMPLE-NAT|, naturals may be written 1, 43, 107, etc. in this built-in module. \verb|RAT| defines the division \begin{vvtm} \begin{ccode} op _/_ : Rat NzRat -> Rat \end{ccode} \end{vvtm} Now \begin{vvtm} \begin{ccode} (I:Int / J:Int)! \end{ccode} \end{vvtm} is ill-formed, since \verb|I / J| is a rational, while \verb|_!| takes only natural number arguments. But \cafeobj~parses it as well-formed, as follows. \begin{vvtm} \begin{ccode} CafeOBJ> parse in FACT : (I:Int / J:Int)! . ((I / J) !) : ?Rat \end{ccode} \end{vvtm} Recall that the result of parsing is a pair of a parenthesised term and its least sort. Here the least sort is shown to be a questionable \verb|?Rat|. The naming convention is implementation-dependent and should not bother you, but you should be bothered to know to that the name denotes an {\em error sort}\index{error sort} over \verb|Rat|, i.e. a sort consisting of ``error'' elements as well as rationals. For any integers \verb|I| and \verb|J|, then, \verb|(I / J)!| is well-formed, although its sort has a dubious name. It follows that \begin{vvtm} \begin{ccode} (4 / 2)! \end{ccode} \end{vvtm} is well-formed. Try parsing, then evaluating the term, and you get \begin{vvtm} \begin{ccode} CafeOBJ> select FACT FACT> parse (4 / 2)! . ((4 / 2) !) : ?Rat FACT> reduce (4 / 2)! . -- reduce in FACT : 4 / 2 ! 2 : NzNat (0.000 sec for parse, 14 rewrites(0.020 sec), 24 matches) FACT> \end{ccode} \end{vvtm} The original term is parsed as a term of sort \verb|?Rat|, as before, and the result of evaluation is a term \verb|2| of sort \verb|NzNat|. Indeed, this result is the 2's factorial, i.e. $4/2$'s factorial. And \verb|NzNat| is not dubious. On the other hand, if you supply a meaningless term, the result remains dubious. \begin{vvtm} \begin{ccode} FACT> reduce (4 / 3)! . -- reduce in FACT : 4 / 3 ! 4/3 ! : ?Rat (0.010 sec for parse, 1 rewrites(0.000 sec), 1 matches) FACT> \end{ccode} \end{vvtm} To summarise, in \cafeobj, \begin{itemize} \item[(1)] If a term is ill-formed but potentially well-formed, it is regarded as a well-formed term of questionable sort. \item[(2)] On evaluation, the potential is investigated. If the result is a term which is unquestionably well-formed, it acquires a full citizenship. Otherwise it remains an outcast. \end{itemize} \subsection{Stacks} Stacks are ubiquitous topics in our community, especially in discussing exception/error handling. The main reason is that their definition is compact, yet reveals (or conceals) how \verb|top(empty)|, a raving exception, is treated. The module below declares a sort of non-empty stacks, and \verb|top| and \verb|pop| are declared on that sort, not on the sort of all the stacks. In effect, \verb|top| and \verb|pop| are partial operators.\index{stack}\index{partial operator}\label{exs:stack-of-nat} \begin{vvtm} \begin{ccode} module STACK-OF-NAT { [ NeStack < Stack ] protecting (SIMPLE-NAT) op empty : -> Stack op push : Nat Stack -> NeStack op top_ : NeStack -> Nat op pop_ : NeStack -> Stack eq top push(X:Nat, S:Stack) = X . eq pop push(X:Nat, S:Stack) = S . } \end{ccode} \end{vvtm} ``\verb|top push(s(s(0)), empty)|'' is well-formed. It parses and reduces as \begin{vvtm} \begin{ccode} CafeOBJ> select STACK-OF-NAT STACK-OF-NAT> parse top push(s(s(0)), empty) . (top push(s(s(0)),empty)) : Nat STACK-OF-NAT> reduce top push(s(s(0)), empty) . -- reduce in STACK-OF-NAT : top push(s(s(0)),empty) s(s(0)) : NzNat (0.000 sec for parse, 1 rewrites(0.000 sec), 1 matches) STACK-OF-NAT> \end{ccode} \end{vvtm} Without introducing error sorts, the term ``\verb|top pop push(s(0), push(s(s(0)), empty))| is ill-formed: \verb|top| requires non-empty stacks as arguments, but the coarity of \verb|pop| is \verb|Stack|, which contains the empty stack. \cafeobj~regards this term, like \verb|(4 / 2)!|, as well-formed, but of an error sort \verb|?Nat|. On evaluation, it reduces to a well-formed term of a valid sort. \begin{vvtm} \begin{ccode} STACK-OF-NAT> parse top pop push(s(0), push(s(s(0)), empty)) . (top (pop push(s(0),push(s(s(0)),empty)))) : ?Nat STACK-OF-NAT> reduce top pop push(s(0), push(s(s(0)), empty)) . -- reduce in STACK-OF-NAT : top (pop push(s(0),push(s(s(0)),empty))) s(s(0)) : NzNat (0.000 sec for parse, 2 rewrites(0.000 sec), 2 matches) STACK-OF-NAT> \end{ccode} \end{vvtm} A meaningless term, as before, remains meaningless. \begin{vvtm} \begin{ccode} STACK-OF-NAT> parse top pop push(s(0), empty) . (top (pop push(s(0),empty))) : ?Nat STACK-OF-NAT> reduce top pop push(s(0), empty) . -- reduce in STACK-OF-NAT : top (pop push(s(0),empty)) top empty : ?Nat (0.010 sec for parse, 1 rewrites(0.000 sec), 1 matches) STACK-OF-NAT> \end{ccode} \end{vvtm} \subsection{Handling Errors as Errors} The above definition of natural number stacks does not say much about what to do with errors. It simply demarcates the error boundary. If you want to be more specific about handling errors, a standard way is to declare specific error elements (constants), and equalise errors to them. In case of the stacks, the code would look something like \begin{vvtm} \begin{ccode} ... op * : -> ?Nat op * : -> ?Stack ... eq top empty = * . eq pop empty = * . ... \end{ccode} \end{vvtm} where \verb|*| is meant to be a bottom element. A more elaborate way is to declare such constants as \begin{vvtm} \begin{ccode} op zero-divisor : -> ?Nat op top-of-empty-stack : -> ?Nat \end{ccode} \end{vvtm} They are intended to be error messages. An error sort is automatically declared for each connected component of the sort graph, and has an internal name that starts with ``\verb|?|''. In the examples of factorials and stacks, the names derived from single sorts, as \verb|?Rat| and \verb|?Nat|. In general, an error sort may have a complicated name like \begin{vvtm} \begin{ccode} ?SortA+SortB+SortC \end{ccode} \end{vvtm} The ``summands'' of this name are maximal sorts in a relevant connected component. In making explicit references, you may use a more compact notation: just put a question mark before a sort name in connected components. For example, if you declared \begin{vvtm} \begin{ccode} [ A < B, A < C ] \end{ccode} \end{vvtm} the error sort name is internally \verb|?B+C|, but may be referred to as either \verb|?A|, \verb|?B|, or \verb|?C|. \begin{warning} Unlike the former versions, the current version admits error sorts, such as \verb|?Nat|, in operator declarations. Since names of error sorts --- in fact, their existence at all --- are implementation dependent, you should avoid mentioning error sorts unless absolutely necessary. \end{warning} \chapter{Operator Attributes}\label{sec:p2-op-properties} Some properties of operators, such as associativity, can be stated as axioms, but if they are so common, it is convenient to be able to use shorthand notations. Moreover, some properties, such as commutativity, are better {\em not} to be given by axioms, since, if regarded as rewrite rules, such axioms violate desirable properties of the TRS. \cafeobj~has a construct for endowing operators with common properties. Such properties are called {\em operator attribute\/}s\index{operator attribute} \index{attribute (of operators)}. Some of them affect denotational semantics; others affect only parsing; yet others concern solely with evaluation. Operator attributes are specified with an optional construct of operator declarations that were explained in Section \ref{sec:p2-operator}. \begin{bsyntax} operator declaration with attributes \index{\texttt{op}} \Hline \texttt{op} \textit{operator\_symbol} ``\texttt{:}'' \textit{list\_of\_sort\_names} ``\texttt{->}'' \textit{sort\_name} ``\texttt{\{}'' \textit{attribute\_list} ``\texttt{\}}'' \end{bsyntax} where operator symbols et al. are as before (Section \ref{sec:p2-operator}). We delayed the introduction of this construct, since it is better explained after evaluation commands. An attribute list is a list of operator attributes separated by blanks. An attribute is either (1) an {\em equational theory attribute}, \index{equational theory attribute} which defines an equivalence relation among terms, (2) a {\em parsing attribute}\index{parsing attribute}, which specifies connectivity, (3) an {\em evaluation attribute}, which controls the evaluation procedure, or (4) neither of these. Operator declarations introduced by \verb|ops|, \verb|bop|, \verb|bops|, \verb|pred| may also have this optional construct. \section{Equational Theory Attribute}\label{sec:p2-equational-theory} \cafeobj~admits four equational theory attributes, as follows. For an infix operator $+$, \begin{itemize} \item[(1)] Associativity, or $(x + y) + z$ = $x + (y + z)$ for any $x$, $y$, and $z$. \\ Specified with \verb|associative| or \verb|assoc|. \index{associativity}\index{\texttt{associative}}\index{\texttt{assoc}} \item[(2)] Commutativity, or $x + y = y + x$ for any $x$ and $y$. \\ Specified with \verb|commutative| or \verb|comm|. \index{commutativity}\index{\texttt{commutative}}\index{\texttt{comm}} \item[(3)] Idempotency, or $x + x = x$ for any $x$. \\ Specified with \verb|idempotent| or \verb|idem|. \index{idempotency}\index{\texttt{idempotent}}\index{\texttt{idem}} \item[(4)] Existence of the identity (here written $0$), or $0 + x = x$ and $x + 0 = x$ for any $x$. \\ Specified with ``\verb|id: 0|''. \index{identity}\index{\texttt{id:}} \end{itemize} \subsection{Associativity} We proceed to a couple of examples for futher illustration. The conjunction ``\verb|_and_|'' is associative. In \cafeobj, it is written as \index{\texttt{assoc}} \begin{vvtm} \begin{ccode} op _and_ : Bool Bool -> Bool { assoc } \end{ccode} \end{vvtm} which means \begin{itemize} \item[-] No ambiguity arises with or without parentheses. For example, \begin{vvtm} \begin{ccode} true and false and true \end{ccode} \end{vvtm} has two parses \begin{vvtm} \begin{ccode} (true and false) and true true and (false and true) \end{ccode} \end{vvtm} but by associativity, they are equal. \item[-] During evaluation, terms are matched modulo \index{modulo (equatioanl theory)} associativity. For example, in evaluating \newline ``\verb|(true and false) and true|'' in the presence of \begin{vvtm} \begin{ccode} eq true and X:Bool = X . \end{ccode} \end{vvtm} the given term does not match the lefthand side as it is, since the first argument is not \verb|true|. But by associativity, the term equals ``\verb|true and (false and true)|'', and this equivalent term does match the lefthand side. Matching modulo associativity is a procedure to find a matching substitution under arbitrary arrangement of parentheses. \end{itemize} The built-in equality operator ``\verb|_==_|'' (Section \ref{sec:p2-equality-pred}) takes care of associativity. For example, \begin{vvtm} \begin{ccode} true and (false and true) == (true and false) and true \end{ccode} \end{vvtm} evaluates to \verb|true|. \verb|assoc| makes sense only when the operator is binary, with arity of the form ``\verb|A A|'' and coarity \verb|C| such that \verb|C < A|. \begin{warning} Formerly, \cafeobj~admitted the cases when the arity consists of different sorts. You are warned if the above stricter condition is violated. \end{warning} \begin{warning} The system assumes an operator with \verb|assoc| attribute to be right associative (Section \ref{sec:p2-syntactic-properties}), unless declared otherwise. \end{warning} \subsection{Commutativity} The conjunction is also commutative. In \cafeobj, it is written as \index{\texttt{comm}} \begin{vvtm} \begin{ccode} op _and_ : Bool Bool -> Bool { assoc comm } \end{ccode} \end{vvtm} Commutativity may be specified with the equation \begin{vvtm} \begin{ccode} eq X:Bool and Y:Bool = Y and X . \end{ccode} \end{vvtm} which is fine as an equation. As a rewrite rule, however, it is diabolically problematic, since it generates infinite rewrite sequences. For this reason, commutativity should be stated by operator attribute. Like \verb|assoc|, \verb|comm| affects evaluation. For example, the term ``\verb|false and true|'' does not match the lefthand side of \begin{vvtm} \begin{ccode} eq X:Bool and false = false . \end{ccode} \end{vvtm} but an equivalent term \verb|true and false| does. ``\verb|_==_|'' takes care of commutativity as well as associativity, so \begin{vvtm} \begin{ccode} true and (false and true) == (true and true) and false \end{ccode} \end{vvtm} evaluates to \verb|true|. \verb|comm| makes sense only when the operator is binary and its arity sorts are the same. \begin{warning} Formerly, \cafeobj~admitted the cases when the arity sorts have a common supersort. \end{warning} \subsection{Identity} ``\verb|_and_|'' has \verb|true| as (left and right) identity, which is written in \cafeobj~as\index{\texttt{id:}} \begin{vvtm} \begin{ccode} op _and_ : Bool Bool -> Bool { assoc comm id: true } \end{ccode} \end{vvtm} The attribute ``\verb|id: true|'' is equivalent to the following equations. \begin{vvtm} \begin{ccode} eq true and X:Bool = X . eq X:Bool and true = X . \end{ccode} \end{vvtm} (In fact, since \verb|comm| is also given, one of the above is enough.) Identity attributes affect evaluation. Under the above operator declaration, \verb|false and true| is, {\em without} evaluation, identified with \verb|false|. ``\verb|id:|'' makes sense only when the operator is binary, the arity sorts and the coarity sort are the same, and the identity term belongs to that sort. \begin{warning} Formerly, \cafeobj admitted the cases when the coarity sort is different. % The current implementation does not check the above condition. \end{warning} \begin{warning} The current implementation of \cafeobj~applies a completion procedure to realise matching modulo identity. The procedure often generates a great many of equations, leading to severe performace degeneration, or even to non-termination. To prohibit unwanted completion, use ``\verb|idr:|''\index{\texttt{idr:}}, instead of ``\verb|id:|''. This attribute has the the same meaning as ``\verb|id:|''. \end{warning} \subsection{Idempotency} That ``\verb|_and_|'' is idempotent is stated as follows.\index{\texttt{idem}} \begin{vvtm} \begin{ccode} op _and_ : Bool Bool -> Bool { assoc comm id: true idem } \end{ccode} \end{vvtm} \verb|idem| is equivalent to the equation \begin{vvtm} \begin{ccode} eq X:Bool and X = X . \end{ccode} \end{vvtm} Idempotency affects evaluation. For example, ``\verb|true and true|'' and \verb|true| matches modulo idempotency. \verb|idem| makes sense only when the operator is binary and the arity sorts and the coarity sort are the same. \begin{warning} Formerly there was no explicit condition. \end{warning} \begin{warning} In the current implementation, an equation like the above is actually added. The system sometimes misbehaves; the only certainty about idempotency is that matching modulo the {\em combination} of associativity, commutativity, and idempotency works correctly. \end{warning} \subsection{Inheriting Equational Theory Attributes} Equational theory attributes are inherited by operators, if they have the same name and are declared on lower sorts. For example, when you declare \begin{vvtm} \begin{ccode} [ Nat < Int ] op _+_ : Nat Nat -> Nat op _+_ : Int Int -> Int { assoc } \end{ccode} \end{vvtm} the operator ``\verb|_+_|'' on \verb|Nat| is assumed associative. Since a subsort is a subset, such attribute inheritance is quite natural: if associativity holds for all the integers, it a forteriori holds for all the natural numbers. As a special case, an identity is inherited only when the identity term belongs to the lower sort. \section{Parsing Attribute}\label{sec:p2-syntactic-properties} Parsing attributes help disambiguate parsing. They are either \begin{itemize} \item[(1)] Precedence\index{precedence}, specified by ``\verb|prec:| integer'', or \index{\texttt{prec:}} \item[(2)] Left or right associativity, specified by \verb|l-assoc| or \verb|r-assoc|, respectively. \index{\texttt{r-assoc}}\index{\texttt{l-assoc}} \index{left associativity}\index{right associativity} \end{itemize} \subsection{Precedence} A precedence is an integer, and lesser precedences indicate stronger connectivity. For example,\index{\texttt{prec:}} \begin{vvtm} \begin{ccode} op _+_ : Int Int -> Int { prec: 33 } op _*_ : Int Int -> Int { prec: 31 } \end{ccode} \end{vvtm} states that ``\verb|_*_|'' connects stronger than ``\verb|_+_|'', and ``\verb|1 + 2 * 3|'' parses as ``\verb|1 + (2 * 3)|''. The default precedences depend on term constructs. \begin{itemize} \item Standard operators have precedence 0. Hence the term of the form \verb|f(a)| connects strongest. \item When an operator is mixfix, \begin{itemize} \item If the operator symbol does not start or end with ``\verb|_|'', that is, no argument appears outside the term construct, the precedence is zero. An example is a singleton operator ``\verb|{_}|''; \item if it is a prefix unary operator, the precedence is 15. The unary ``\verb|-_|'' offers an example; \item Otherwise, the precedence is 41. \end{itemize} \end{itemize} Let us show examples. \begin{vvtm} \begin{ccode} CafeOBJ> module PREC-TEST { [ S ] op _+_ : S S -> S { prec: 33 } op _*_ : S S -> S { prec: 31 } op -_ : S -> S } -- defining module PREC-TEST...._* done. CafeOBJ> select PREC-TEST PREC-TEST> parse X:S + Y:S * Z:S . (X + (Y * Z)) : S PREC-TEST> parse - X:S + Y:S . ((- X) + Y) : S PREC-TEST> \end{ccode} \end{vvtm} According to the default rules, ``\verb|-_|'' has precedence 15, so connects stronger than ``\verb|_+_|''. Hence the result of the second parse. \begin{warning} The current implementation accepts precedences between 0 and 127 (inclusive). Out-of-bound precedences cause warnings, and are ignored. \end{warning} \subsection{Left/Right Associativity} \verb|l-assoc| states that the operator, which must be binary, associates to the left, and \verb|r-assoc| to the right. A typical usage is as follows. Under the declaration \begin{vvtm} \begin{ccode} op _+_ : S S -> S \end{ccode} \end{vvtm} ``\verb|X:S + X + X|'' has two parses \begin{vvtm} \begin{ccode} (X + X) + X X + (X + X) \end{ccode} \end{vvtm} If you declare\index{\texttt{l-assoc}} \begin{vvtm} \begin{ccode} op _+_ : S S -> S { l-assoc } \end{ccode} \end{vvtm} the parse is uniquely determined as ``\verb|(X + X) + X|'', while \index{\texttt{r-assoc}} \begin{vvtm} \begin{ccode} op _+_ : S S -> S { r-assoc } \end{ccode} \end{vvtm} dictates the parse to be ``\verb|X + (X + X)|''. \begin{warning} When equational-theoretic associativity \verb|assoc|\index{\texttt{assoc}} is declared, the system has to decide how to decide connectivity. In that case, ``\verb|X + (X + X)|'' is equal to ``\verb|(X + X) + X|'' anyway, but it is necessary to decide on one or the other, to store and manipulate terms. In the current implementation, the system assumes right associativity. \end{warning} Left/right associativity is allowed only on operators whose arities are both supersorts of the coarity. \begin{warning} Note that the conditions for \verb|assoc| and for \verb|l-assoc|, \verb|r-assoc| differ. \verb|l-assoc| or \verb|r-assoc| is a parsing instruction. There is no inherent reason to prohibit these attributes, as long as you feel like it. In fact, the above condition only states that, if it does not hold, the attribute is almost meaningless. \end{warning} \section{Constructor Attribute}\label{sec:p2-constructor-attribute} The attribute \texttt{constr}\index{\texttt{constr}}\index{constructor (attribute)} states that the operator is a constructor of the coarity sort. For example, \begin{vvtm} \begin{ccode} op nil : -> List { constr } op __ : List List -> List { constr } \end{ccode} \end{vvtm} states that \verb|nil| and \verb|__| are constructors of \verb|List|. The idea of constructors is very important for many purposes, especially for theorem proving. The current system, however, does not take advantage of this concept in any way. To the system, \verb|constr| is a comment. \section{Evaluation Strategy}\label{sec:p2-rew-strategy} \cafeobj~allows the user to specify evaluation strategies of terms. In general, evaluation is nondeterministic. In selecting which rule to apply to which subterm, there is a certain license. And the selection affects performance. It may even decide whether the evaluation terminates. \subsection{E-Strategy Attribute} Many recent functional programming languages are using lazy evaluation strategies. There are several arguments for this trend, but unfettered laziness is not recommended, like in everyday life. One way to avoid its harmful effects is to incorporate in compilers a mechanism to intermingle eager evaluation strategies, so long as it does not change the results of computation. To see if it affects the results, strictness analyses are employed. In \cafeobj, you need not be thoroughly lazy or eager. It allows you to assign different strategies to different operators. This means that you can have the best of both worlds, or eat and have a cake at once. Moreover, the system computes default strategies case by case, based on a rapid strictness analysis. In accordance to a certain folklore, we sometimes say {\em E-strategy}\index{E-strategy} for evaluation strategy\index{evaluation strategy}. E-strategies are operator attributes, and are written in this form: \begin{bsyntax} evaluation strategy \index{\texttt{strat:}} \Hline \texttt{strat:} ``\texttt{(}'' \textit{integer\_list} ``\texttt{)}'' \end{bsyntax} An integer list is a list of integers separated by blanks. Each integer in the list represents an argument. 1 is the first argument, 2 is the second, and so on, and 0 is the whole term. E-strategies determine the order of evaluation. As an informative example, a built-in conditional is declared as follows. \begin{vvtm} \begin{ccode} op if_then_else_fi : Bool Int Int -> Int { strat: (1 0) } \end{ccode} \end{vvtm} This E-stragety ordains that the first argument (conditional part) be evaluated first, then the whole argument. Notice that the second and third arguments (\verb|then| and \verb|else| parts) do not appear in the list. These arguments are not evaluated, unless the whole term is evaluated and they are no longer arguments. Depending on the result of evaluating the first argument, one of these arguments is entirely irrelevant to the final result, so this strategy is clearly reasonable. Another example is an eager strategy. \begin{vvtm} \begin{ccode} op _+_ : Int Int -> Int { strat: (1 2 0) } \end{ccode} \end{vvtm} The E-strategy requires the two arguments be evaluated before the whole term. \subsection{Default Strategy} If no explicit E-strategy is given, the default strategy is computed as follows. For each argument, \begin{quote} Evaluate the argument before the whole term, if there is a rewrite rule that defines the operator such that, in the place of the argument, a non-variable term appears. \end{quote} For example, given a binary operator \verb|f| and suitable variables \verb|X| and \verb|Y|, in the place of the first argument is a variable in \begin{vvtm} \begin{ccode} eq f(X,Y) = h(X) . \end{ccode} \end{vvtm} while it does not in \begin{vvtm} \begin{ccode} eq f(g(X),Y) = h(Y) . \end{ccode} \end{vvtm} If all the rewrite rules are of the former type, the first argument need not be evaluated immediately. Since any term (of a relevant sort) matches a variable, matching possibilities are unaffected. Furthermore, if the only rewrite rule defining \verb|f| is \begin{vvtm} \begin{ccode} eq f(X,Y) = h(Y) . \end{ccode} \end{vvtm} you are well advised to evaluate it later (or never): the righthand side does not contain \verb|X|, so evaluating it is futile. On the other hand, if there are rules that contain non-variable terms in the argument place, the result of evaluating the argument affects matchability, so it is safe to evaluate it first. \begin{warning} To be on the safe side, the default strategy always ends with \verb|0|. Former versions added last zeros even for user-supplied stategies. We concluded that this practice reminded us of overprotective nannies, and abandoned it. \end{warning} If an operator definition is recursive, \cafeobj~may ignore an explicit E-strategy, and apply recursive rules successively. This is a kind of optimisation. To avoid this behaviour, give an E-strategy that does not have \verb|0| at the head of the list. \subsection{Lazy Evaluation} \cafeobj~provides two ways to specify lazy evaluation. \begin{itemize} \item[a.] Omit the arguments to be evaluated later, or \item[b.] Put the corresponding negative integers. \end{itemize} Delayed \verb|cons| is thus declared as either \begin{vvtm} \begin{ccode} op cons : Sexp Sexp -> Sexp { strat: (0) } -- (a) \end{ccode} \end{vvtm} or \begin{vvtm} \begin{ccode} op cons : Sexp Sexp -> Sexpt { strat: (-1 -2) } -- (b) \end{ccode} \end{vvtm} With the former declaration, both arguments are not evaluated unless they get outside of \verb|cons|. For example, suppose \verb|car| is defined as \begin{vvtm} \begin{ccode} op car : Sexp -> Sexp { strat: (1 0) } vars X Y : Sexp eq car(cons(X,Y)) = X . -- * \end{ccode} \end{vvtm} and you try to reduce the term \begin{vvtm} \begin{ccode} car(cons(1 + 0, nil)) \end{ccode} \end{vvtm} where \verb|nil| is the usual constant. According to the given E-strategies, \begin{itemize} \item[1.] The argument of \verb|car| is to be evaluated first. \item[2.] But the argument is dominated by \verb|cons|, whose arguments are not to be evaluated, since \verb|1|, \verb|2| are not in the E-strategy. So ``\verb|cons(1 + 0, nil)|'' is returned as it is. \item[3.] The evaluation for \verb|car| continues, and the next argument in the E-strategy --- in fact \verb|0|, the whole term --- is to be evaluated. \item[4.] Using the equation marked \verb|*|, the whole term is rewritten to ``\verb|1 + 0|''. \item[5.] Evaluation continues with this term. \end{itemize} With the declaration \verb|(b)|, both arguments are not evaluated until so forced. Evaluation is forced, when the argument is involved in matching. For example, to see the applicability of the equation (rewrite rule) \begin{vvtm} \begin{ccode} eq cadr(cons(X,cons(Y,Z))) = Y . \end{ccode} \end{vvtm} it is necessary to know whether the second argument of the outer \verb|cons| is dominated by \verb|cons|. Suppose a term has been rewritten so far to \begin{vvtm} \begin{ccode} cadr(cons(1,cdr(cons(2,cons(3,nil))))) \end{ccode} \end{vvtm} This term does not match the lhs as it is, because the second argument of the outmost \verb|cons| is dominated by \verb|cdr|, not by \verb|cons|. It does match, however, if the second argument is reduced (with the usual rule for \verb|cdr|) to \verb|cons(3,nil)|. \verb|-2| in the strategy states that the second argument is to be evaluated just at such moments. Negative integers cannot be used if the operator is declared associative or commutative. In such cases, reduction ``on demand'', as explained above, is nigh impossible to implement. %\begin{warning} % The lazy mechanism with negative integers no longer works. %\end{warning} \subsection{Interpreting E-Strategies} To understand the exact meaning of E-strategies, it is instructive to know the overall algorithm of evaluation. It is shown below. Remember that an E-strategy is a list of integers. Given a term $t$, \begin{itemize} \item[]1. Let $l$ be the E-strategy of the dominant operator of $t$. \item[]2. If $l$ is empty, exit with $t$ as result. Otherwise, let $n$ be the first element of $l$. \begin{itemize} \item[]2-1. If $n = 0$, search a rewrite rule applicable to the whole $t$. If one such is found, replace $t$ with the substitution instance $t'$, and go back to 1. \item[]2-2. If $n > 0$, call this procedure recursively with the $n$-th argument of $t$ as input. Replace the argument with the result, and proceed to 3. \item[]2-3. If $n < 0$, mark the $-n$-th argument of $t$ as ``on demand'', and proceed to 3. \end{itemize} \item[]3. Remove the first element from $l$ and go back to 2. \end{itemize} Note that, after the step 2-1., the control is back to 1., and the rest of the current strategy is discarded. Note also that, when a negative integer appears, the corresponding argument is just marked and nothing else is done. The mark reveals its effects only during matching. \section{Memo}\label{sec:p2-memo-attribute} To evaluate similar terms repetitively is tedious to humans, but acceptable to the system. To evaluate {\em the same} terms repetitively, however, is sometimes too much, even to the system. It silently complains, by taking long time in responding. For the sake of efficiency, it helps if you state in advance that such and such evaluations are likely to occur quite often, and that remembering the previous results is a good idea. Hence an attribute, called {\em memo}. This operator attribute tells the system to remember the results of evaluation where the operator appeared. More specifically, if you declare\index{\texttt{memo}} \begin{vvtm} \begin{ccode} op f**k : S S S -> S { memo } \end{ccode} \end{vvtm} and evaluate a term containing \verb|f**k(t1,t2,t3)|, the system take note of (1) \verb|f**k(t1,t2,t3)| itself, (2) \verb|f**k(r1,r2,r3)|, where \verb|ri|'s are the results of evaluating \verb|ti|'s, and (3) the result of evaluating (1). If the need arises to evaluate (1) again, the system gets the result (3) immediately. This mechanism not only speeds up the computation, it also saves memory space, when you evaluate terms that contain common subterms. The memo attribute can only specified on functions, i.e. operators not defined by rules (See \label{sec:p2-rule-declaration} for rules). The system does or does not remember the evaluation results after each evaluation. It is controlled by a switch, and \index{\texttt{clean memo}} \begin{vvtm} \begin{ccode} CafeOBJ> set clean memo on \end{ccode} \end{vvtm} tell the system to be forgetful. The default is \verb|off|. It is also possible to initialise memo storages by the following command. \begin{vvtm} \begin{ccode} CafeOBJ> clean memo \end{ccode} \end{vvtm} The memo attributes may be ignored if you turn a switch off,\index{\texttt{memo}} as \begin{vvtm} \begin{ccode} CafeOBJ> set memo off \end{ccode} \end{vvtm} %To see the virtue of remembering, let us define a factorial function on %our own \verb|Nat|, and modify \verb|SIMPLE-NAT| and \verb|MULT| to %have operators with memos, as %\begin{vvtm} %\begin{ccode} % op _+_ : Nat Nat -> Nat { memo } % op _*_ : Nat NAt -> Nat { memo } %\end{ccode} %\end{vvtm} %Then %\begin{vvtm} %\begin{ccode} % CafeOBJ> module FACT { % protecting (MUTL) % op _! : Nat -> Nat { memo } % eq 0 ! = s(0) . % eq s(N:Nat) ! = (N !) * s(N). % } % % -- defining module FACT.._..* done. % CafeOBJ> set clean memo on % % CafeOBJ> set memo off % % CafeOBJ> reduce in FACT : s(s(s(s(s(s(0)))))) ! . % -- reduce in FACT : s(s(s(s(s(s(0)))))) ! % ...The result is the large term, and is omitted... % (0.000 sec for parse, 1194 rewrites(0.060 sec), 2227 matches) % CafeOBJ> set memo on % % CafeOBJ> reduce in FACT : s(s(s(s(s(s(0)))))) ! . % % -- reduce in FACT : s(s(s(s(s(s(0)))))) ! % % ...The result is the same large term, and is omitted... % (0.000 sec for parse, 1194 rewrites(0.060 sec), 2227 matches) % CafeOBJ> %\end{ccode} %\end{vvtm} \section{Coherence} \label{sec:p2-coherence} As explained in Section \ref{sec:p2-evaluation-command} and \ref{sec:p2-eval-exs-3}, in evaluating a term, application of behavioural axioms is prohibited unless the redex is enclosed in an observation, and this restriction is to ensure the soundness of evaluation. This implies that the system can ignore the restriction so long as the application does not lead to an incorrect reasoning. An attribute called \verb|coherent| may be used to tell the system to loosen the guard. It asserts that the operator acts indistinguishably on behaviourally equivalent terms, so that it is in effect a behavioural operator. For example, the declarations \begin{vvtm} \begin{ccode} [ T ] *[ S ]* ops a b : -> S bop g : S -> T op f : S -> T { coherent } beq [ a-sim-b ] a = b . \end{ccode} \end{vvtm} allow the system to apply \verb|a-sim-b| to \verb|f(a)|, where \verb|a| is not guarded by an observation, as well as to \verb|g(a)|, where \verb|a| is. \section{Operator Attributes and Evaluations}\label{sec:p2-op-attr-eval} Let us see how various attributes affect evaluation. In the case of an associative operator with identity,\label{exs:az-op} \begin{vvtm} \begin{ccode} module AZ-OP { [ S ] ops : a b c phi : -> S op __ : S S -> S { associative id: phi } } \end{ccode} \end{vvtm} you may compute as follows. \begin{vvtm} \begin{ccode} phi a phi b phi c -> a phi b phi c -> a b phi c -> a b c \end{ccode} \end{vvtm} where \verb|phi|'s are eliminated wherever they appear. Indeed the system computes exactly like you. \begin{vvtm} \begin{ccode} CafeOBJ> select AZ-OP AZ-OP> set trace on AZ-OP> reduce phi a phi b phi c . -- reduce in AZ-OP : phi a phi b phi c 1>[1] rule: eq [ident12] : phi X-ID:S = X-ID:S { X-ID:S |-> a phi b phi c } 1<[1] phi a phi b phi c --> a phi b phi c 1>[2] rule: eq A2 phi X-ID:S A1 = A2 X-ID:S A1 { A1 |-> phi c, X-ID:S |-> b, A2 |-> a } 1<[2] a phi b phi c --> a b phi c 1>[3] rule: eq A1 phi X-ID:S = A1 X-ID:S { X-ID:S |-> c, A1 |-> a b } 1<[3] a b phi c --> a b c a b c : S (0.000 sec for parse, 3 rewrites(0.260 sec), 13 matches) AZ-OP> \end{ccode} \end{vvtm} The equations in this trace were generated by the system, to cope with identity. The exact mechanism need not be your concern, but beware that these extra equations may cause havoc (Section \ref{sec:p2-op-attr-limit}). If you inspect the statistics, it is apparent that the numbers of matching attempts greatly exceeded those of rewrites. This is a general fact about evaluation modulo equational theory. See what happens if the operator is also commutative, as in \label{exs:acz-op} \begin{vvtm} \begin{ccode} AZ-OP> module ACZ-OP { [ S ] ops : a b c phi : -> S op __ : S S -> S { associative commutative id: phi } } -- defining module ACZ-OP....._._* done. AZ-OP> select ACZ-OP ACZ-OP> reduce phi a phi b phi c . -- reduce in ACZ-OP : phi a phi b phi c 1>[1] rule: eq [ident14] : phi X-ID:S = X-ID:S { X-ID:S |-> a b phi phi c } 1<[1] phi a phi b phi c --> a b phi phi c 1>[2] rule: eq [ident14] : phi X-ID:S = X-ID:S { X-ID:S |-> a b phi c } 1<[2] a b phi phi c --> a b phi c 1>[3] rule: eq [ident14] : phi X-ID:S = X-ID:S { X-ID:S |-> a b c } 1<[3] a b phi c --> a b c a b c : S (0.010 sec for parse, 3 rewrites(0.010 sec), 5 matches) ACZ-OP> \end{ccode} \end{vvtm} Again \verb|phi|'s were eliminated, but different rewrite rules were used, and, relying on commutativity, the system changed the order of listing at the first step. Adding idempotency, we get\label{exs:aciz-op} \begin{vvtm} \begin{ccode} ACI-OP> module ACIZ-OP { [ S ] ops a b c phi : -> S op __ : S S -> S { assoc comm idem id: phi } } -- defining module ACIZ....._._* done. ACI-OP> reduce in ACIZ-OP : phi a phi b phi c . -- reduce in ACIZ-OP : phi a phi b phi c 1>[1] rule: eq AC U-idem:S U-idem:S = AC U-idem:S { AC |-> phi a b c, U-idem:S |-> phi } 1<[1] phi a phi b phi c --> phi a b c 1>[2] rule: eq [ident16] : phi X-ID:S = X-ID:S { X-ID:S |-> a b c } 1<[2] phi a b c --> a b c a b c : S (0.000 sec for parse, 2 rewrites(0.000 sec), 9 matches) ACI-OP> \end{ccode} \end{vvtm} \verb|phi|'s were stripped, but the reason for the first step (when two \verb|phi|'s were eliminated at once) was not that \verb|phi| was the identity, but that ``\verb|__|'' was idempotent. \section{Further Example: Propositional Calculus} \label{sec:p2-propositional-calc} The next example is a decision procedure of propositional logic. In this example, rewriting modulo associativity and commutativity is decisive. \cafeobj~has a built-in module \verb|PROPC|, which is declared as follows. \label{exs:propc} \begin{vvtm} \begin{ccode} CafeOBJ> show PROPC sys:module! PROPC principal-sort Prop { imports { protecting (TRUTH) } signature { [ Prop, Identifier Bool < Prop ] op _ and _ : Prop Prop -> Prop { assoc comm constr prec: 55 r-assoc } op _ xor _ : Prop Prop -> Prop { assoc comm constr prec: 57 r-assoc } op _ or _ : Prop Prop -> Prop { assoc comm prec: 59 r-assoc } op not _ : Prop -> Prop { strat: (0 1) prec: 53 } op _ -> _ : Prop Prop -> Prop { strat: (0 1 2) prec: 61 } op _ <-> _ : Prop Prop -> Prop { assoc prec: 63 r-assoc } } axioms { var p : Prop var q : Prop var r : Prop eq p and false = false . eq p and true = p . eq p and p = p . eq p xor false = p . eq p xor p = false . eq p and (q xor r) = p and q xor p and r . eq p or q = p and q xor p xor q . eq not p = p xor true . eq p -> q = p and q xor p xor true . eq p <-> q = p xor q xor true . } } CafeOBJ> \end{ccode} \end{vvtm} ``\verb|sys:module!|'' is an introductory keyword for built-in modules. \begin{itemize} \item An atomic proposition is an element of the built-in sort \verb|Identifier|, declared in \newline \verb|CHAOS:IDENTIFIER|, or of the sort \verb|Bool|, declared in \verb|TRUTH|. \verb|Identifier| contains character strings. \verb|Bool| contains \verb|true| and \verb|false|. \item Propositional connectives are \texttt{and}, \texttt{or}, \texttt{->}, \texttt{not}, \texttt{<->}, and \texttt{xor} (exclusive or). \item An irreducible term is constructed out of \texttt{and}, \texttt{xor}, \texttt{true}, \texttt{false}, and identifiers. It is in disjunctive normal form (by regarding \texttt{xor} as disjunction). In particular, tautologies are reducible to \texttt{true}. \item The precedences of connectives are ordered as \texttt{not}, \texttt{and}, \texttt{xor}, \texttt{or}, \texttt{->}, \texttt{<->}. \end{itemize} Evaluations in this module proceed as follows. Firstly, \begin{vvtm} \begin{ccode} a -> b <-> not b -> not a \end{ccode} \end{vvtm} states $a \to b \leftrightarrow \neg b \to \neg a$, a tautology (equivalence of contrapositives). \begin{vvtm} \begin{ccode} CafeOBJ> select PROPC PROPC> set trace on PROPC> reduce a -> b <-> not b -> not a . -- reduce in PROPC : a -> b <-> not b -> not a 1>[1] rule: eq p:Prop -> q:Prop = p:Prop and q:Prop xor p:Prop xor true { p:Prop |-> a, q:Prop |-> b } 1<[1] a -> b --> a and b xor a xor true 1>[2] rule: eq p:Prop -> q:Prop = p:Prop and q:Prop xor p:Prop xor true { p:Prop |-> not b, q:Prop |-> not a } 1<[2] not b -> not a --> not b and not a xor not b xor true 1>[3] rule: eq not p:Prop = p:Prop xor true { p:Prop |-> b } 1<[3] not b --> b xor true 1>[4] rule: eq not p:Prop = p:Prop xor true { p:Prop |-> a } 1<[4] not a --> a xor true 1>[5] rule: eq p:Prop and (q:Prop xor r:Prop) = p:Prop and q:Prop xor p:Prop and r:Prop { p:Prop |-> b xor true, q:Prop |-> true, r:Prop |-> a } 1<[5] (b xor true) and (a xor true) --> (b xor true) and true xor (b xor true) and a 1>[6] rule: eq p:Prop and true = p:Prop { p:Prop |-> b xor true } 1<[6] (b xor true) and true --> b xor true 1>[7] rule: eq p:Prop and (q:Prop xor r:Prop) = p:Prop and q:Prop xor p:Prop and r:Prop { p:Prop |-> a, q:Prop |-> true, r:Prop |-> b } 1<[7] (b xor true) and a --> a and true xor a and b 1>[8] rule: eq p:Prop and true = p:Prop { p:Prop |-> a } 1<[8] a and true --> a 1>[9] rule: eq AC xor p:Prop xor p:Prop = AC xor false { AC |-> true xor a xor a and b, p:Prop |-> true xor b } 1<[9] b xor true xor a xor a and b xor b xor true xor true --> true xor a xor a and b xor false 1>[10] rule: eq p:Prop xor false = p:Prop { p:Prop |-> a and b xor true xor a } 1<[10] true xor a xor a and b xor false --> a and b xor true xor a \end{ccode} \end{vvtm} \begin{vvtm} \begin{ccode} 1>[11] rule: eq p:Prop <-> q:Prop = p:Prop xor q:Prop xor true { p:Prop |-> a and b xor a xor true, q:Prop |-> a and b xor true xor a } 1<[11] a and b xor a xor true <-> a and b xor true xor a --> a and b xor a xor true xor a and b xor true xor a xor true 1>[12] rule: eq AC xor p:Prop xor p:Prop = AC xor false { AC |-> true, p:Prop |-> true xor a and b xor a } 1<[12] a and b xor a xor true xor a and b xor true xor a xor true --> true xor false 1>[13] rule: eq p:Prop xor false = p:Prop { p:Prop |-> true } 1<[13] true xor false --> true true : Bool (0.000 sec for parse, 13 rewrites(0.140 sec), 75 matches) PROPC> \end{ccode} \end{vvtm} Observe that associativity and commutativity are frequently used. To trace everything makes the exposition rather long, so we omit traces in the sequel. \begin{vvtm} \begin{ccode} PROPC> set trace off PROPC> reduce not(a or b) <-> not a and not b . -- reduce in PROPC : not (a or b) <-> not a and not b true : Bool (0.000 sec for parse, 11 rewrites(0.020 sec), 70 matches) PROPC> reduce c or c and d <-> c . -- reduce in PROPC : c or c and d <-> c true : Bool (0.000 sec for parse, 7 rewrites(0.190 sec), 34 matches) PROPC> reduce a <-> not c . -- reduce in PROPC : a <-> not c a xor c : Prop (0.000 sec for parse, 4 rewrites(0.010 sec), 15 matches) PROPC> reduce a and b xor c xor b and a . -- reduce in PROPC : a and b xor c xor b and a c : Identifier (0.010 sec for parse, 2 rewrites(0.000 sec), 21 matches) PROPC> reduce a <-> a <-> a <-> a . -- reduce in PROPC : a <-> a <-> a <-> a true : Bool (0.010 sec for parse, 9 rewrites(0.000 sec), 18 matches) PROPC> reduce a -> b and c <-> (a -> b) and (a -> c) . -- reduce in PROPC : a -> b and c <-> (a -> b) and (a -> c) true : Bool (0.010 sec for parse, 25 rewrites(0.050 sec), 184 matches) PROPC> \end{ccode} \end{vvtm} It is pleasing to see that the usual logical truths are proved to be true, by just evaluating the corresponding terms. Here the logical basis of the language is in stark relief. If you think of rewrite rules as deduction rules, a computation is a proof. The set of rewrite rules is sound iff all the statements reducible to \verb|true| are valid. It is complete iff all the valid statements are reducible to \verb|true|. \section{Limitation of the Implementation}\label{sec:p2-op-attr-limit} As a cautious conclusion to operator attributes, we must point to the major limitations of the current implementation. As mentioned earlier, the treatment of idempotency is inadequate. The other two problems concern the enormity of extra rewrite rules. You should have noticed that, to realise rewriting modulo identity or associativity, the system adds equations surreptitiously. Consider first the case of identities. Suppose in \verb|AZ-OP| in Section \ref{exs:az-op}, there were another operator declaration \begin{vvtm} \begin{ccode} op first : S -> S \end{ccode} \end{vvtm} and an equation \begin{vvtm} \begin{ccode} eq first(X:S X':S) = X . \end{ccode} \end{vvtm} A special case of the equation is \begin{vvtm} \begin{ccode} eq first(X) = X . \end{ccode} \end{vvtm} where \verb|X'| is bound to \verb|phi| and the identity is cancelled. The completion procedure for implementing identities does add this equation, as well as \begin{vvtm} \begin{ccode} eq first(X') = phi . \end{ccode} \end{vvtm} which is a specialisation to the case when \verb|X| is \verb|phi|. Thus we get a specification where \begin{vvtm} \begin{ccode} phi = first(a) = a = first(a b) = phi = ... \end{ccode} \end{vvtm} holds. This result is somewhat unexpected. As a TRS, the two equations annihilate the Church-Rosser property. A different problem arises if you modify the declaration of \verb|xor| in \verb|PROPC| (Section \ref{exs:propc}) as \begin{vvtm} \begin{ccode} op _xor_ : Prop Prop -> Prop { assoc comm id: false } \end{ccode} \end{vvtm} i.e., adding the identity attribute. Then in the presence of the equation \begin{vvtm} \begin{ccode} eq p and (q xor r) = p and q xor p and r . \end{ccode} \end{vvtm} the completion procedure adds \begin{vvtm} \begin{ccode} eq p and r = (p and false) xor (p and r) . \end{ccode} \end{vvtm} which is a special case, where \verb|q| is replaced by \verb|false|. This equation is hazardous, since you now get an infinite rewrite sequence \begin{vvtm} \begin{ccode} a and b --> (a and false) xor (a and b) --> (a and false) xor (a and false) xor (a and b) --> : \end{ccode} \end{vvtm} Even if such a hazard is avoided, performance may be compromised, by hundreds of extra unwanted equations. If you encounter misbehaviours, then, ``\verb|id:|'' is a possible suspect. If it is the culprit, change to ``\verb|idr:|'',\index{\texttt{idr:}} which does not force completion. As to associativity, a fateful combination with sort ordering may generate dozens of unnecessary equations. For example, in the built-in module \verb|INT|, \verb|Nat| is a subsort of \verb|Int|, and the addition ``\verb|_+_|'' is declared on both sorts. As a consequence, an equation \begin{vvtm} \begin{ccode} eq 0 + I = I . \end{ccode} \end{vvtm} induces an extra equation \begin{vvtm} \begin{ccode} eq 0 + I + ac_E = ac_E + I . \end{ccode} \end{vvtm} This equation has a lefthand side that is costly to match, yet adds nothing to the power of evaluation. To check the necessity of such extra equations is not easy. As of now, the system bets on the safer side, and adds equations nonchalantly. \chapter{Module Structure}\label{sec:p2-module-hierarchies} \section{Names and Contexts} \subsection{Context and Current Module}\label{sec:p2-current-module} Import declarations define a hierarchy of modules. As a directed graph, it is acyclic: a module cannot import itself, either directly or indirectly. The directed acyclic graph is called {\em context}\index{context (module)}, and for a paricular module \verb|M| in the graph, the complete subgraph reachable from \verb|M| is called the context of \verb|M|. You may regard the context of \verb|M| as collections of sorts, operators, variables, and axioms, which can be referred to within \verb|M|. The concept of current module\index{current module} is to establish a context in the above sense. Such commands as \verb|reduce| and \verb|parse| presuppose a context. The current module is set by the following command. \begin{bsyntax} \texttt{select} command \index{\texttt{select}} \Hline \texttt{select} \textit{module\_name} \end{bsyntax} You are always reminded of the current module by the prompt --- you already have seen many session examples. You may make the context follow your every step, so that if you define a module or inspect its contents, the current module switches to that module, by the command\index{\texttt{set}}\index{\texttt{auto}} \index{\texttt{context}} \begin{vvtm} \begin{ccode} CafeOBJ> set auto context on \end{ccode} \end{vvtm} The default is \verb|off|. The effects of this switch are illustrated in the following session. \begin{vvtm} \begin{ccode} CafeOBJ> set auto context on CafeOBJ> module M { [ S ] op e : -> S } -- defining module M.._* done. M> module N { [ S ] } -- defining module N._* done. N> show M module M { imports { protecting (BOOL) } signature { [ S ] op e : -> S } } M> show N module N { imports { protecting (BOOL) } signature { [ S ] } } N> \end{ccode} \end{vvtm} Notice that the prompt changed to \verb|M| (\verb|N|), each time \verb|M| (\verb|N|) was defined or inspected. The current module --- hence context --- can be shown as follows.\index{\texttt{context}} \begin{vvtm} \begin{ccode} N> show context -- current context : [module] N [special bindings] $$term = none. $$subterm = no subterm selection is made by `choose'. [bindings] empty. [selections] empty. [pending actions] none. [stop pattern] not specified. N> \end{ccode} \end{vvtm} The output contains the states that are local to the current context. For example, under \verb|bindings| are listed context variables (Section \ref{sec:p2-let-command}). The others concern theorem proving tools, to be explained (Chapter \ref{sec:p2-theorem-proving}). \verb|show| command is also used to print contexts. To print the context of \verb|M|, type \begin{vvtm} \begin{ccode} CafeOBJ> show module tree M \end{ccode} \end{vvtm} A submodule of a module is identified by a name, so during a session it is possible for the definition of a submodule to change --- when you redefine that submodule, or when you unintentionally use the same name for a different module. In such a case, the system does not take any housekeeping exercise until necessary --- until, for example, an evaluation command is entered. You may make the system to be more diligent, by flicking a switch. \index{\texttt{auto}}\index{\texttt{reconstruct}} \begin{vvtm} \begin{ccode} CafeOBJ> set auto reconstruct on \end{ccode} \end{vvtm} When the switch is on, every time a module is redefined, every context surrounding it is forced to reflect the change at once. If you are so inclined, you may change the prompt once and for all. \index{\texttt{prompt}} \begin{vvtm} \begin{ccode} CafeOBJ> prompt Haskell> Haskell> \end{ccode} \end{vvtm} In the reset of the session, the prompt would not change until you invoke the command again\footnote{For an obvious reason, the above change does not force the system to accept Haskell.}. \subsection{Module Sharing}\label{sec:p2-module-sharing} It is possible that some modules are imported several times. For example, the declarations \begin{vvtm} \begin{ccode} module M0 { ... } module M00 { protecting (M0) ... } module M01 { protecting (M0) ... } module M001 { protecting (M00) protecting (M01) ... } \end{ccode} \end{vvtm} makes \verb|M001| import \verb|M0| twice. The basic convention is that, in such cases, \verb|M0| is regarded as imported only once, and its single copy is shared throughout. This convention works fine when a module is imported with \verb|protecting| mode, since a module then has essentially the same models everywhere. The problem arises when \verb|extending| or \verb|using| modes appear somewhere. In general, importation modes are determined as follows. Let us write \verb|M -m-> M'| if \verb|M| directly imports \verb|M'| with importation mode \verb|m|. When \verb|M| (directly or indirectly) imports \verb|M'|, there are several chains \begin{vvtm} \begin{ccode} M -m1-> M1 -m2-> ... -mn-> Mn = M' \end{ccode} \end{vvtm} to \verb|M'|. Each such chain determines the mode with which \verb|M| imports \verb|M'|, as the weakest among all the \verb|mi|'s. For example, in the chain \begin{vvtm} \begin{ccode} M -pr-> M1 -ex-> M2 -pr-> M' \end{ccode} \end{vvtm} \verb|M'| is imported via \verb|ex| mode. The mode with which \verb|M'| is imported is the weakest among all the chains along which \verb|M'| is imported. \subsection{Qualifying Names}\label{sec:p2-naming-and-qualification} In Section \ref{sec:p2-parsing-qualifier}, we have shown how to qualify terms by sort names. You can also qualify sort names and operator names, this time by module names. \cafeobj~allows you to use the same name for different sorts. A typical case is to declare sorts in different but related modules: variants of stack definitions, for example, are likely to have a common sort name \verb|Stack|. So long as they do not appear in the same context, those sorts do not cause confusion. The problem arises when you import two modules that contain sorts of the same name. It is unlikely to import both modules directly, but it is definitely possible to import them indirectly. To avoid confusion you can qualify names as follows. \begin{bsyntax} reference to sort/operator/parameters \Hline \textit{name}$[$``\texttt{.}''\textit{module\_name}$]$ \end{bsyntax} where the name is a sort name, an operator name, or a parameter name (Section \ref{sec:p2-parameter}). According to the above syntactical rule, the references that appeared so far, such as \verb|Nat|, could be qualified, such as ``\verb|Nat.SIMPLE-NAT|''. A module name may be a parameter name (Section \ref{sec:p2-parameter}). To avoid ambiguity, if an operator name contains blanks or periods, it must be parenthesised, as ``\verb|(_._).M|''. The referent of a qualified name is the one that is in the context of the qualifier. ``\verb|Nat.SIMPLE-NAT|'' refers to the sort \verb|Nat| in the context of \verb|SIMPLE-NAT|. Note that this does {\em not} imply that \verb|Nat| is declared in \verb|SIMPLE-NAT|: it only says that {\em somewhere} in the context of \verb|SIMPLE-NAT|, \verb|Nat| is declared. If, in the context of \verb|SIMPLE-NAT|, more than one \verb|Nat| are declared, the qualifier fails to identify which. In that case, you have to be more specific. \begin{warning} The above qualification of operator names are for {\em referring} to operators in \verb|show| commands, mappings, etc. You cannot use qualification in writing a term. \end{warning} \subsection{Referring to Operators}\label{sec:p2-operator-reference} Operator names appear in renaming and view declarations (both are to be explained). In these constructs, a single name may refer to more than one operators, due to overloading. Special care needs to be taken, therefore, to see which operator names refer to which operators. Note first that you have to distinguish operators with different number of arguments, as \begin{vvtm} \begin{ccode} op f : Nat -> Nat \end{ccode} \end{vvtm} and \begin{vvtm} \begin{ccode} op f : Nat Nat -> Nat \end{ccode} \end{vvtm} This problem does not arise if operators are mixfix, since their symbols contain placeholders ``\verb|_|''s. All in all, you have this definition. \begin{bsyntax} operator name \Hline $\{$ \textit{mixfix\_operator\_symbol} $|$ \textit{standard\_operator\_symbol} $\}[$``\texttt{/}''\textit{number\_of\_arguments}$]$ \end{bsyntax} You should not insert blanks between the operator symbol and ``\verb|/|'', or between ``\verb|/|'' and the number of arguments. Using this form, the above two declarations may be distinguished as ``\verb|f/1|'' and ``\verb|f/2|''. With this preparation, let us define in detail the relationship between operator names and their referents. In \cafeobj, an operator name refers to a group of operators, rather than a single operator. Given a module \verb|M|, consider, for example, an operator declaration \begin{vvtm} \begin{ccode} op f : Nat Nat -> Nat \end{ccode} \end{vvtm} in \verb|M|, and let $G$ be the group this operator belongs to. \begin{enumerate} \item[1.] Another operator with the same name (i.e. ``\verb|f/2|''), and whose arity is in the same connected component as \verb|Nat Nat|, belongs to $G$. \item[2.] Yet another operator, with the same name but with arity outside the connected component, belongs to $G$ only if it is declared in \verb|M|. \item[3.] No other operator belongs to $G$. \end{enumerate} Here the connected component of ``\verb|Nat Nat|'' is taken from the product graph. The operator name ``\verb|f/2|'' in the context of \verb|M| refers to the group $G$, which may contain several distinct operators, due to the above rules. Accordingly, the qualified name ``\verb|(f/2).M|'' refers to $G$. Intuitively, qualification by \verb|M| states that the name is declared in \verb|M|. Hence 2. precludes operators declared in other modules. But what about 1.? Consider, for example, the code \begin{vvtm} \begin{ccode} module NAT { [ Nat ] ... op _+_ : Nat Nat -> Nat ... } module INT { protecting (NAT) [ Nat < Int ] ... op _+_ : Int Int -> Int ... } \end{ccode} \end{vvtm} and the reference ``\verb|(_+_).INT|''. It certainly refers to ``\verb|_+_|'' on \verb|Int|, but it should also refer to ``\verb|_+_|'' on \verb|Nat|, since \cafeobj~regards an overloaded operator on subsorts as the restriction. On \verb|Nat|, two ``\verb|_+_|''s must behave identically. Hence the rule 1. %To probe the consequences of the above definition, let us introduce contrived %module declarations. Firstly, %\begin{vvtm} %\begin{ccode} % module M { % signature { % [ A < B, C D ] % op op1 : A A -> A % op op1 : B B -> B % op _+_ : C C -> C % op _+_ : D D -> D % op op1 : C C C -> C % op op2 : A A -> A % } % } %\end{ccode} %\end{vvtm} %Within \verb|M|, we only need to consider the rules 2. and 3., and get %the following operator groups. %\begin{itemize} %\item[] Group \verb|op1/2|: \verb|{ op1 : A A -> A, op1 : B B -> B }| %\item[] Group \verb|op1/3|: \verb|{ op1 : C C C -> C }| %\item[] Group \verb|_+_|: \verb|{ _+_ : C C -> C, _+_ : D D -> D }| %\item[] Group \verb|op2/2|: \verb|{ op2 : A A -> A }| %\end{itemize} %Secondly, %\begin{vvtm} %\begin{ccode} % module M' { % protecting(M) % signature { % [ D < E, F ] % op _+_ : E E -> E % op _+_ : F F -> F % op op1 : F F -> F % op op2 : E E -> E % } % } %\end{ccode} %\end{vvtm} %Operators are massively overloaded. To simplify the exposition, use %qualification by \verb|M| and expand the declarations: %\begin{vvtm} %\begin{ccode} % signature { % [ A.M < B.M, C.M, D.M < E, F ] % op op1.M : A.M A.M -> A.M % op op1.M : B.M B.M -> B.M % op _+_.M : C.M C.M -> C.M % op _+_.M : D.M D.M -> D.M % op op1.M : C.M C.M C.M -> C.M % op op2.M : A.M A.M -> A.M % op _+_ : E E -> E % op _+_ : F F -> F % op op1 : F F -> F % op op2 : E E -> E % } %\end{ccode} %\end{vvtm} %Using the rules 1., 2. and 3., we get the following group. %\begin{itemize} %\item[] Group \verb|op1/2|: % \verb|{ op1.M : A.M A.M -> A.M, op1.M : B.M B.M -> B.M }| %\item[] Group \verb|op1/2|: \verb|{ op1 : F F -> F }| %\item[] Group \verb|_+_|: % \verb|{ _+_ : E E -> E, _+_ : F F -> F, _+_.M : D.M D.M -> D.M }| %\item[] Group \verb|_+_|: \verb|{ _+_.M : C.M C.M -> C.M }| %\item[] Group \verb|op1/3|: \verb|{ op1.M : C.M C.M C.M -> C.M }| %\item[] Group \verb|op2/2|: \verb|{ op2 : E E -> E }| %\item[] Group \verb|op2/2|: \verb|{ op2.M : A.M A.M -> A.M }| %\end{itemize} %Note well how the groups are rearranged, and observe the appearance of %groups with the same names. We may avoid the name conflict over %``\verb|op1/2|'' or ``\verb|op2/2|'' by qualifying with \verb|M|, but %``\verb|_+_|'' would not succumb to this trick. ``\verb|(_+_).M|'' refers to %the group before rearrangement, not to one of the new groups. %\cafeobj~does not offer a general solution to this problem. % %\begin{warning} % This section will be entirely deleted from the future version. %\end{warning} \section{Parameters and Views} One of the salient features of \cafeobj~is a parameter mechanism. By putting aside certain sorts and operators as parameters, you can declare a generic module. A parameter unit is itself a module so that, on top of syntactical requirements, semantic constraints may be imposed on actual parameters. To instantiate a parameterised module is to replace the parameters with modules that satisfy the syntactic {\em and} semantic constraints. \subsection{Parameterised Module}\label{sec:p2-parameter} To declare a parameterised module, attach a parameter interface to the module declaration construct. \begin{bsyntax} parameterised module \index{\texttt{module}} \Hline \texttt{module} \textit{module\_name} ``\texttt{(}'' \textit{list\_of\_parameters} ``\texttt{)}'' ``\texttt{\{}'' ~~~~\textit{module\_element} $*$ ``\texttt{\}}'' \end{bsyntax} A list of parameters is comma-separated. A {\em parameter}\index{parameter} has the following construct. \begin{bsyntax} parameter \Hline $[$ \textit{importation\_mode} $]$ \textit{parameter\_name} ``\texttt{::}'' \textit{module\_name} \end{bsyntax} A parameter name is an arbitrary character string, and is used to refer to the parameter module in the module body. The module name after ``\verb|::|'' describes requirements that must be satisfied by the actual parameters. The same module may act as distinct parameters, and parameter names distinguish them. For importation modes, which are optional, see Section \ref{sec:p2-params-as-subs}. \begin{warning} In ancient times, parameters were enclosed with square brackets ``\verb|[|'', ``\verb|]|''. \end{warning} \begin{warning} Do not forget to put blanks before and after ``\verb|::|''. \end{warning} For example, the following modules define indexed lists, where both indices and data may come from arbitrary sets. \label{exs:ilist} \begin{vvtm} \begin{ccode} module* ONE { [ Elt ] } module! ILIST ( IDX :: ONE, DAT :: ONE ) { [ Ilist ] [ Elt.DAT < ErrD ] op undef : -> ErrD op empty : -> Ilist op put : Elt.IDX Elt.DAT Ilist -> Ilist op _[_] : Ilist Elt.IDX -> ErrD -- ----------------------------- vars I I' : Elt.IDX var D : Elt.DAT var L : Ilist eq put(I,D,L) [ I' ] = if I == I' then D else L [ I' ] fi . eq empty [ I ] = undef . } \end{ccode} \end{vvtm} Observe how the same module \verb|ONE| is used as different parameters. Inside \verb|ILIST|, sorts and operators of a parameter may be referred to with qualified names, like ``\verb|Elt.DAT|'' (cf. Section \ref{sec:p2-naming-and-qualification}). As an aside, the current version of \cafeobj~has a built-in module called \verb|TRIV|, which is the same as \verb|ONE| above.\label{exs:triv} Using this built-in, you may as well have written \begin{vvtm} \begin{ccode} module! ILIST ( IDX :: TRIV, DAT :: TRIV ) \{ ... \end{ccode} \end{vvtm} Further, error sorts, such as \verb|ErrD|, are implicitly declared (Section \ref{sec:p2-flexible-typing}), so you need not declare \verb|ErrD| as above. \subsection{Pre-view (Not Preview)}\label{sec:p2-pre-view} This section contains a preliminary to the following sections, and is rather technical. To bind actual parameter modules to formals, we need ways to relate two modules. Since modules denote structures, we rely on the idea of structure-preserving mappings. Such mappings are usually called homomorphisms.\index{homomorphism} Intuitively, in \begin{vvtm} \begin{ccode} module M { [ S ] } module M' { [ S' ] } module N { [ T U ] } \end{ccode} \end{vvtm} the modules \verb|M| and \verb|M'| are essentially the same, since the difference lies only in the naming; and \verb|M| (or \verb|M'|) may be embedded in \verb|N|, since \verb|N| defines an enlarged (two-sorted) structure. The following definitions are nothing more than the statements of the obvious, like this tiny example. They are complicated only because \cafeobj~is founded on a rich logical base. \paragraph{Derived Operators}\index{derived operator} A derived operator is just a term regarded as an operator. For example, under the module \verb|MULT| (Section \ref{exs:mult}) and for variables \verb|X| and \verb|Y| of sort \verb|Nat|, \verb|s(0)|, \verb|s(s(X))|, ``\verb|s(0) + X|'', ``\verb|s(X) * s(Y)|'', and ``\verb|X * X|'' are all terms, hence derived operators. The important point here is that each such term can be assigned a rank, inductively. We have \begin{center} \begin{tabular}{ll} \multicolumn{1}{l}{term} & \multicolumn{1}{l}{rank} \\ \hline \verb|s(0)| & \verb|-> NzNat| \\ \verb|s(s(X))| & \verb|Nat -> NzNat| \\ \verb|s(0) + X| & \verb|Nat -> NzNat| \\ \verb|s(X) * s(Y)| & \verb|Nat Nat -> Nat| \\ \verb|X * X| & \verb|Nat -> Nat| \\ \end{tabular} \end{center} It is easy\footnote{ Actually, not so easy. You have to calculate a least sort. } to calculate the rank of a derived operator: the sorts of the variables constitute the arity, and the coarity of the dominant operator is the coarity. Further, given a signature, the derived signature\index{derived signature} is the one containing every derived operator. Thus, if we denote derived operators by terms, the derived signature of \verb|MULT| looks like \begin{vvtm} \begin{ccode} [ Zero NzNat < Nat ] op 0 : -> Zero op s : Nat -> NzNat op _+_ : Nat Nat -> Nat op _*_ : Nat Nat -> Nat ... op s(0) : -> NzNat ... op s(s(X)) : Nat -> NzNat ... op s(0) + X : Nat -> Nat ... \end{ccode} \end{vvtm} which, of course, we cannot write out fully, since this signature is infinite. \paragraph{Signature Morphisms} A signature morphism\index{signature morphism} is a structure-preserving mapping from a signature to another. For example, \begin{vvtm} \begin{ccode} signature { [ S < S' ] *[ H ]* bop f : H -> S } \end{ccode} \end{vvtm} may be mapped to \begin{vvtm} \begin{ccode} signature { [ T < T', U ] *[ K < K' ]* bop g : K -> T } \end{ccode} \end{vvtm} via the mapping %\begin{center} \begin{tabular}{lll} \verb|S| & $\to$ & \verb|T| \\ \verb|S'| & $\to$ & \verb|T'| \\ \verb|H| & $\to$ & \verb|K| \\ \verb|f| & $\to$ & \verb|g| \\ \end{tabular} %\end{center} which preserves sort ordering and visibility, as well as ranks of operators. To be definite, given signatures $\Sigma$ and $\Sigma^{\prime}$, a signature morphism is a pair of mappings $h_s$ (of sorts) and $h_o$ (of operators) such that \begin{itemize} \item $h_s$ preserves and reflects visibility, i.e. $S$ is visible (hidden) iff $h_s(S)$ is; \item $h_s$ preserves sort ordering, i.e. you must have $h_s(S) \leq h_s(S')$ if $S \leq S'$; \item $h_s$ reflects sort ordering on hidden sorts, i.e. you must have $S \leq S'$ if $h_s(S) \leq h_s(S')$; \item $h_o$ preserves ranks, i.e. an operator $f$ with rank $S_1 \ldots S_n \to S$ must be mapped to an operator with rank $h_s(S_1) \ldots h_s(S_n) \to h_s(S)$; \item $h_o$ maps behaviourals to behaviourals (\verb|bop| to \verb|bop|), and \verb|op| to \verb|op|; and \item $h_o$ is surjective on behaviourals, i.e. for any behavioural operator $g$ in the target signature, there must be a (behavioural) operator $f$ such that $h_o(f) = g$. \end{itemize} \paragraph{Specification Morphism}\index{specification morphism} Signature morphisms take care of signatures. Modules contain axioms as well, and specification morphisms are defined to ``preserve'' axioms. As an example, consider \verb|MONOID| (Section \ref{exs:monoid}) and \verb|SIMPLE-NAT| (Section \ref{exs:simple-nat}). If \verb|SIMPLE-NAT| indeed specifies natural number addition, it is associative and has identity \verb|0|, hence constitutes a monoidal structure. This fact can be confirmed by \begin{itemize} \item[1.] Specifying a mapping of sorts and operators that is a signature morphism, and \item[2.] Showing that, under that mapping, the (translated) axioms of \verb|MONOID| hold in \verb|SIMPLE-NAT|. \end{itemize} A specification morphism is a signature morphism that satisfies such conditions as 2. above. A precise definition would require the precise notion of satisfaction, which is beyond this exposition (note that you have to consider transition relations and behavioural equivalence, in addition to equality). In its place and for intuitive illustration, we shall elaborate on the above monoid example, after introducing concrete language constructs. \subsection{View}\label{sec:p2-view} A {\em view}\index{view} specifies ways to bind actual parameters to formal parameters. Given a parameter, i.e. a module $T$, and a module $M$, a view $V$ from $T$ to $M$ is a specification morphism from $T$ to $M'$, the derived specification of $M$, with one modification: the operator mapping must be surjective only for non-derived behavioural operators (i.e., those originally in $M$). To spell out the definitions of the previous section, therefore, a view is a pair of structure-preserving mappings of sorts and operators, under which axioms of $T$ hold in $M'$ --- hence in $M$, since $M'$ does not contain extra axioms. To instantiate a parameterised module, it is not enough to supply an actual parameter, since there are in general several ways to replace sorts with sorts and operators with operators. You need a view. \label{sec:p2-view-decl} A view declaration consists of a parameter module, an actual parameter module, and a set of maps that constitute a specification morphism. \begin{bsyntax} view \Hline \index{\texttt{view}}\index{\texttt{from}}\index{\texttt{to}} \texttt{view} \textit{view\_name} \texttt{from} \textit{module\_name} \texttt{to} \textit{module\_name} ``\texttt{\{}'' ~~~\textit{view\_element} $*_,$ ``\texttt{\}}'' \end{bsyntax} \begin{tabular}{r c l} \textit{view\_element} &::=& \textit{map} \\ &$|$& \textit{variable\_declaration} \end{tabular} A view name is a character string. The module names after \verb|from| and \verb|to| are those of the parameter module and the actual parameter respectively. Maps are as follows. \begin{tabular}{r c l}\index{\texttt{sort}}\index{\texttt{op}}\index{\texttt{hsort}} \index{\texttt{bop}} \textit{map} &::=& \verb|sort| \textit{sort\_name} ``\verb|->| \textit{sort\_name} \\ &$|$& \verb|hsort| sort\_name ``\verb|->| sort\_name \\ &$|$& \verb|op| \textit{operator\_reference} ``\verb|->|'' \textit{operator\_reference} \\ &$|$& \verb|bop| \textit{operator\_reference} ``\verb|->|'' \textit{operator\_reference} \end{tabular} A sort name may be qualified by a module name or a parameter name (Section \ref{sec:p2-naming-and-qualification}), and has to be visible for \verb|sort|, and hidden for \verb|hsort|. An operator reference is an operator name, or a term that denotes a derived operator. An operator reference may also be qualified. And needless to say, \verb|op| is for non-behavioural operators, and \verb|bop| is for behaviourals. For a source operator, only operator names, or terms that denotes original operators, is allowed. Using the example of \verb|MULT| with variables \verb|X| and \verb|Y|, \begin{vvtm} \begin{ccode} _*_ X * Y \end{ccode} \end{vvtm} are allowed, while \begin{vvtm} \begin{ccode} s(0) s(X) * Y X * X \end{ccode} \end{vvtm} are not. A variable declaration is as in Section \ref{sec:p2-variable-decl}, like \begin{vvtm} \begin{ccode} vars X Y : Nat \end{ccode} \end{vvtm} where sort names are those in the {\em source} module. \begin{warning} You may sometimes omit commas between view elements, but it is safer always to put them. \end{warning} For a view declaration to define a specification morphism, the maps must satisfy the conditions for signature morphisms, and the actual parameter must satisfy the translated axioms of the formal (See \ref{sec:p2-pre-view}). And we remark that \begin{itemize} \item If operators are overloaded, a single map determines a correspondence between all the overloaded operators at once; \item A view may be endomorphic, and not necessarily be the identity mapping at that; and \item A view need not be onto, nor one-to-one. \end{itemize} \begin{warning} The system only checks syntactic conditions. To check theory inclusion, you need a powerful theorem prover, which is lacking in the current system. \end{warning} \begin{warning} Equational theory attributes (Section \ref{sec:p2-equational-theory}) act like axioms when views are considered: associativity, for example, is an axiom that must hold in the actual parameter. % However, % for equational theory attributes, the system imposes a stronger requirement: % the same attributes must be specified for actual operators. In the spirit of checking only syntactic conditions, the system ignores these attributes. \end{warning} \begin{warning} The system does not check every syntactic conditions. \end{warning} \subsection{Views Galore}\label{sec:p2-views-exs} We illustrate the definitions and remarks by several examples. A first example maps \verb|MONOID| to \verb|SIMPLE-NAT| (Sections \ref{exs:monoid} and \ref{exs:simple-nat}). \begin{vvtm} \begin{ccode} view NAT-AS-MONOID from MONOID to SIMPLE-NAT { sort M -> Nat, op e -> 0, op _*_ -> _+_ } \end{ccode} \end{vvtm} This mapping is certainly a signature morphism, since, by replacing \verb|M| with \verb|Nat|, the ranks of \verb|e| and ``\verb|_*_|'' match \verb|0| and ``\verb|_+_|'' respectively. And we can show that, for variables \verb|X|, \verb|Y|, and \verb|Z| of sort \verb|Nat|, the equations \begin{vvtm} \begin{ccode} eq (X + Y) + Z = X + (Y + Z) . eq 0 + X = X . eq X + 0 = X . \end{ccode} \end{vvtm} hold under the theory of \verb|SIMPLE-NAT| (but this requires a non-trivial proof; we shall come to this later). Now consider another monoid, natural numbers under multiplication: \begin{vvtm} \begin{ccode} view NAT-AS-MONOID' from MONOID to MULT { sort M -> Nat, op e -> s(0), op _*_ -> _*_ } \end{ccode} \end{vvtm} \verb|MULT| was in Section \ref{exs:mult}. Here \verb|M| is mapped to the same sort \verb|Nat| as before, but the operators are mapped differently. Note first that ``\verb|_*_|'' refers to two distinct operators: over \verb|M| and \verb|Nat|. Further note that the constant \verb|e| is mapped to \verb|s(0)|, which is {\em not} a constant declared in \verb|MULT|. It is a derived operator, and this view shows why a view is defined to be a mapping to the derived specification. To show that \verb|NAT-AS-MONOID'| defines a specification morphism, we need to prove \begin{vvtm} \begin{ccode} eq (X * Y) * Z = X * (Y * Z) . eq s(0) * X = X . eq X * s(0) = X . \end{ccode} \end{vvtm} Note, finally, that we may as well replace \verb|SIMPLE-NAT| by \verb|MULT| as the target of \verb|NAT-AS-MONOID|, since \verb|MULT| imports every declaration of \verb|SIMPLE-NAT|. This fact confirms the observation that there can be more than one views between two modules. We now turn to somewhat artificial examples. For the sake of brevity, let us define a module without axioms: \begin{vvtm} \begin{ccode} module NAT-INT { [ Nat < Int ] op _+_ : Nat Nat -> Nat op _+_ : Int Int -> Int } \end{ccode} \end{vvtm} Then we have a view \begin{vvtm} \begin{ccode} view ID from NAT-INT to NAT-INT { sort Nat -> Nat, sort Int -> Int, op _+_ -> _+_ } \end{ccode} \end{vvtm} which is just the pair of identity mappings. Note that the operator map denotes two maps, for ``\verb|_+_|'' on \verb|Nat| and that on \verb|Int|. This is an example of overloaded operators being bundled into one (Section \ref{sec:p2-operator-reference}). We have other endomorphisms. \begin{vvtm} \begin{ccode} view U from NAT-INT to NAT-INT { sort Nat -> Nat, sort Int -> Nat, op _+_ -> _+_ } view L from NAT-INT to NAT-INT { sort Nat -> Int, sort Int -> Int, op _+_ -> _+_ } \end{ccode} \end{vvtm} \verb|U| collapses \verb|Nat| and \verb|Int| into \verb|Nat|. Recall that the conditions on signature morphisms only require preservation of weak sort ordering. \verb|Nat < Nat| holds\footnote{ Remember that \texttt{<} denotes less than \emph{or equal to}. }, so \texttt{U} does define a signature morphism. The case of \texttt{L} is similar, collapsing the two sorts into \texttt{Int}. Even with relatively simple structures like this, you have a couple of different views between modules. \subsection{Not Quite a View}\label{sec:p2-non-view-exs} We show why the conditions on views (see Section \ref{sec:p2-pre-view}, on specification morphisms) are reasonable. It is easy to see why you have to preserve ranks and sort ordering. For example, given a module \begin{vvtm} \begin{ccode} module FUNCTION { [ S T ] op f : S -> T } \end{ccode} \end{vvtm} and a self-mapping \begin{vvtm} \begin{ccode} sort S -> T sort T -> S op f -> f \end{ccode} \end{vvtm} it is hard to know where to locate the image of \verb|f|. The conditions on hidden sorts and behavioural operators ensure the preservation of visibility --- mapping hiddens to hiddens, behaviourals to behaviourals --- and observations. The following counterexample illustrates the reason why views must reflect hidden sort ordering and be surjective on behavioural operators. Recall the module \verb|COUNTER| (Section \ref{exs:counter}), and consider a module of bank accounts:\label{exs:account} \begin{vvtm} \begin{ccode} module SUBTRACT { protecting (SIMPLE-NAT) op _-_ : Nat Nat -> Nat vars N N' : Nat eq 0 - N = 0 . eq N - 0 = N . eq s(N) - s(N') = N - N' . } module* ACCOUNT { protecting (SUBTRACT) *[ Account ]* bops deposit withdraw : Account Nat -> Account bops balance point : Account -> Nat var N : Nat var A : Account eq balance(deposit(A, N)) = balance(A) + N . eq balance(withdraw(A, N)) = balance(A) - N . eq point(deposit(A, N)) = point(A) + s(0) . } \end{ccode} \end{vvtm} ``\verb|_-_|'' on \verb|Nat| is the usual pseudo-subtraction (you have already seen this definition in Section \ref{exs:simple-nat+}, as a preparation to declare \verb|GCD|). An account has a balance and a ``bonus point''. The bonus point increases each time you make a deposit. If you identify a counter reading with the amount of your fortune, it seems plausible to define a view, by the following mapping. \begin{vvtm} \begin{ccode} sort Zero -> Zero sort NzNat -> NzNat sort Nat -> Nat op 0 -> 0 op s -> s op _+_ -> _+_ var N : Nat var C : Counter hsort Counter -> Account bop add(N, C) -> deposit(C, N) bop read -> balance \end{ccode} \end{vvtm} Note first the appearance of \verb|Zero|, \verb|NzNat|, et al. A view defines a mapping of all the sorts and operators, including those declared in imported modules\footnote{ Even implicitly imported modules. We ignore them here, for your health. }. As a result, views easily become large. And quite often, they contain a large uninformative set of maps --- the identitiy maps, like here. There is a way to cut them out. See Section \ref{sec:p2-succinct-view}. Note also the usage of variables. In mapping \begin{vvtm} \begin{ccode} bop add : Nat Counter -> Counter \end{ccode} \end{vvtm} to \begin{vvtm} \begin{ccode} bop deposit : Account Nat -> Account \end{ccode} \end{vvtm} you need to change the order of arguments. Variables and derived opeartors are used to state this permutation. In the term \verb|deposit(C,N)|, the variable \verb|C| is interpreted as that of \verb|Account|, according to the sort map from \verb|Counter| to \verb|Account|. Let us return to conditions on views. This mapping does not constitute a view, since \verb|withdraw| and \verb|point| are not in the image of the mapping. This oversight is harmful. It can be shown that in \verb|COUNTER| the behavioural equation \begin{vvtm} \begin{ccode} beq add(m + n, c) = add(n, add(m, c)) . \end{ccode} \end{vvtm} holds for any \verb|m|, \verb|n| of sort \verb|Nat| and for any \verb|c| of sort \verb|Counter|, while its counterpart \begin{vvtm} \begin{ccode} beq deposit(a, m + n) = deposit(deposit(a, m), n) . \end{ccode} \end{vvtm} in \verb|ACCOUNT| does not. The reason is that the observation \verb|point(A:Account)| distinguishes the two terms: thus behavioural equivalence is not preserved under this mapping --- even though the (single) axiom of \verb|COUNTER| is preserved. You should have ensured that no additional observation is imposed on (the image of) \verb|Counter|. The conditions on views are sufficient for this purpose. And note well that, if you pay respect to the conditions, behavioural equivalence is preserved whenever the {\em explicitly given}, {\em finite} axioms are preserved. \subsection{Succinct Views}\label{sec:p2-succinct-view} Fully to spell out the necessary maps may lead to unwieldy views. In the previous section, you already get a hunch that imported sorts and operators induce explosion. In fact, it is possible to omit some obvious maps: the system guesses the missing pieces by the following rules. Unless explicitly written otherwise, \begin{itemize} \item[1.] If the source and target modules have common submodules, all the sorts and modules declared therein are assumed to be mapped to themselves; \item[2.] If the source and target modules have sorts and/or operators with identical names, they are mapped to their respective namesakes; and \item[3.] If the source module has a single sort and the target has a {\em principal} sort\index{principal sort}, the single sort is mapped to the principal. \end{itemize} The rules 1. and 2. are obviously helpful: they allow you to omit the obvious. A principal sort is declared within the header part of a module declaration, as follows. \begin{bsyntax} module with principal sort \index{\texttt{principal-sort}} \Hline \texttt{module} \textit{module\_name} $[$``\texttt{(}'' \textit{list\_of\_parameters} ``\texttt{)}''$]$ \texttt{principal-sort} \textit{sort\_name} ``\texttt{\{}'' ~~~~\textit{module\_element} $*$ ``\texttt{\}}'' \end{bsyntax} \verb|principal-sort| may be abbreviated to \verb|p-sort|. \index{\texttt{p-sort}} A sort name refers to a sort that is declared within the module, or in an imported module. Let us show some examples. If you have \begin{vvtm} \begin{ccode} module* ONE { [ Elt ] } \end{ccode} \end{vvtm} and \begin{vvtm} \begin{ccode} module! SIMPLE-NAT' principal-sort Nat { ... the same as SIMPLE-NAT } \end{ccode} \end{vvtm} it is possible to declare a view \begin{vvtm} \begin{ccode} view V from ONE to SIMPLE-NAT' { } \end{ccode} \end{vvtm} which apparently is an empty mapping. This is equivalent to \begin{vvtm} \begin{ccode} view V from ONE to SIMPLE-NAT' { sort Elt -> Nat } \end{ccode} \end{vvtm} Since great many views are from single-sort modules, principal sorts are very useful for making views compact. If so declared, a sort is principal in and only in that module, and principality is {\em not} obtainable via importation\footnote{ You may buy out Monaco, but it is another matter. }. \begin{warning} The current version does not support all the mechanisms explained here. Identifying sorts or operators by name is sometimes tedious --- you may have to probe the depth of the module hierarchy. Or controvertial. Consider, e.g., ``\verb|_+_|'' for natural number addition and for direct summation of sets. \end{warning} It is also possible to shorten views by importation. \index{importation (of views)} \begin{warning} At the time of writing, it is not possible. We have not even worked out a relevant syntax. \end{warning} \section{Binding Parameters} \subsection{Instantiation of Parameterised Modules} \label{sec:p2-module-instantiation} An instance of a parameterised module is created by binding actual parameters to formals. The process of binding is called {\em instantiation}\index{instantiation}. The result of instantiation is a new module, obtained by replacing occurrences of parameter sorts and operators by actuals. If, as a result of instantiation, a module is imported twice, it is assumed to be imported once, and shared throughout (Section \ref{sec:p2-module-sharing}). Syntactically, instantiation binds a view to a parameter. \begin{bsyntax} instantiating parameterised module \Hline \textit{module\_name} ``\texttt{(}'' \textit{binding} $+_,$ ``\texttt{)}'' \end{bsyntax} There are two distinct kinds of binding constructs. \paragraph{Instantiation by Declared Views} You may bind an already declared view to a parameter. \begin{tabular}{r c l}\index{\texttt{<=}} \textit{binding} &::=& \textit{parameter\_name} ``\verb|<=|'' \textit{view\_name} \end{tabular} If a module \verb|M| has a parameter ``\verb|X :: T|'' and a view \verb|V| from \verb|T| to \verb|M'| is declared, \verb|V| may be bound to \verb|X|, with the effect that \begin{itemize} \item[1.] The sort and operator names of \verb|T| that appear in the body of \verb|M| are replaced by those in \verb|M'|, in accordance with \verb|V|, and \item[2.] The common submodules of \verb|M| and \verb|M'| are shared. \end{itemize} \paragraph{Instantiation by Ephemeral Views} It is possible to declare and bind a view simultaneously. \begin{tabular}{r c l}\index{\texttt{view}}\index{\texttt{to}} \textit{binding} &::=& \textit{parameter\_name} ``\verb|<=|'' \textit{view} \\ \textit{view} &::=& \verb|view| \verb|to| \textit{module\_name} ``\verb|{|'' \textit{view\_element} $*$ ``\verb|}|'' \end{tabular} where ``\verb|{|'', ``\verb|}|'' encloses the same constructs as in view declarations. The view is valid only within the instantiation. For example,\label{exs:nat-ilist} \begin{vvtm} \begin{ccode} module NAT-ILIST { protecting (ILIST(IDX <= view to SIMPLE-NAT { sort Elt -> Nat }, DAT <= view to SIMPLE-NAT { sort Elt -> Nat })) } \end{ccode} \end{vvtm} binds a \verb|SIMPLE-NAT| to the parameter \verb|IDX| and \verb|DAT|, via an identical view from \verb|ONE| (see Section \ref{exs:simple-nat} for \verb|SIMPLE-NAT|, Section \ref{exs:ilist} for \verb|ILIST| and \verb|ONE|). The code is equivalent to \begin{vvtm} \begin{ccode} view V from ONE to SIMPLE-NAT { sort Elt -> Nat } module NAT-ILIST { protecting (ILIST(IDX <= V, DAT <= V)) } \end{ccode} \end{vvtm} An ephemeral view may be as succinct as a everlasting counterpart, with resort to principality and titular coincidence. To make the code more concise, it is possible to identify parameters by positions, not by names. \verb|NAT-ILIST| may then be defined by \begin{vvtm} \begin{ccode} module NAT-ILIST { protecting (ILIST(V,V)) } \end{ccode} \end{vvtm} or, more ephemerally, \begin{vvtm} \begin{ccode} module NAT-ILIST { protecting (ILIST(SIMPLE-NAT { sort Elt -> Nat }, SIMPLE-NAT { sort Elt -> Nat })) } \end{ccode} \end{vvtm} Note that in the latter code ``\verb|view to|'' constructs are omitted. \subsection{Parameters as Imports}\label{sec:p2-params-as-subs} A parameter may be regarded as a submodule. If so regarded, it poses a question of importation modes (Section \ref{sec:p2-import-decl}) and module contexts (Section \ref{sec:p2-current-module}). Indeed, it is possible to specify an importation mode for a parameter, as in \begin{vvtm} \begin{ccode} module M (extending X :: T) \{ ... \end{ccode} \end{vvtm} Available modes are the same as with plain importations: \verb|protecting|, \verb|extending|, and \verb|using|. The default mode is \verb|protecting|. You can check by feeding \verb|ILIST| (Section \ref{exs:ilist}) and print parameters as follows. \begin{vvtm} \begin{ccode} CafeOBJ> select ILIST ILIST(IDX,DAT)> show params argument IDX : protecting ONE argument DAT : protecting ONE ILIST(IDX,DAT)> \end{ccode} \end{vvtm} Note in passing that the new prompt shows parameters as well as the module name \verb|ILIST|. %\begin{warning} % The current version is very verbose and print formal parameter modules % as well, as in % \begin{vvtm} %\begin{ccode} % ILIST(IDX::ONE ,DAT::ONE)> % \end{ccode} %\end{vvtm} %\end{warning} \begin{warning} As stated in Section \ref{sec:p2-import-decl}, the system does not care if you have chosen an incorrect importation mode. Since various modules are to be bound to parameters, you should be especially cafeful. \end{warning} As to contexts, a parameter is included in the context graph of the module. The difference from plainly imported modules is that the edge has a name. For example, if \verb|M| imports \verb|M'|, the edge is anonymous \begin{quotation} \verb|M| $\longrightarrow$ \verb|M'| \end{quotation} while if \verb|M| has a parameter ``\verb|X :: M'|'', the edge is \begin{quotation} \texttt{M} $\buildrel \mbox{\texttt{X}} \over \longrightarrow$ \texttt{M'} \end{quotation} Moreover, since a module may have the same parameter with different names, a context graph is in general a hypergraph. Some aspects of instantiation is better explained in terms of such graphs. Instantiation is then a process of subgraph replacement, and the usual considerations --- indentifying which edges with which, determining targets of edges, avoiding dangling edges, and so on --- are relevant to the process of instantiation. \subsection{Parameter Passing} Since a parameterised module is a module, it may be imported. You may enrich \verb|ILIST| (Section \ref{exs:ilist}), adding an operator that counts entries. \begin{vvtm} \begin{ccode} module ILIST-EXT { protecting (ILIST) protecting (SIMPLE-NAT) op #_ : Ilist -> Nat var I : Elt.IDX var D : Elt.DAT var L : Ilist eq # put(I,D,L) = s(0) + (# L) . eq # empty = 0 . } \end{ccode} \end{vvtm} The definition of ``\verb|#_|'' is obvious, but this module is interesting in that it imports a parameterised module without instantiation. Let us see how the system treats such a module. After feeding \verb|ILIST-EXT|, you get \begin{vvtm} \begin{ccode} CafeOBJ> select ILIST-EXT ILIST-EXT(IDX, DAT)> show params argument IDX.ILIST : protecting ONE argument DAT.ILIST : protecting ONE ILIST-EXT(IDX, DAT)> show param IDX module* IDX.ILIST :: ONE { imports { protecting (BOOL) } signature { [ Elt ] } } ILIST-EXT(IDX, DAT)> \end{ccode} \end{vvtm} Look first at the new prompt. In the previous section, after the parameterised \verb|ILIST| was \verb|select|ed, the prompt changed to \begin{vvtm} \begin{ccode} ILIST(IDX, DAT)> \end{ccode} \end{vvtm} to indicate that the current module had two parameters. The \verb|select|ion here of \verb|ILIST-EXT| also led to the prompt suggesting parameters. As the \verb|show| commands showed, this module indeed has parameters \verb|IDX| and \verb|DAT|, which are both the module \verb|ONE|. %The new prompt indicates that these parameters were derived from %\verb|ILIST|. %\begin{warning} % The current version is very verbose, and in the above case the prompt is % \begin{vvtm} %\begin{ccode} % ILIST-EXT(IDX.ILIST::ONE, DAT.ILIST::ONE)> % \end{ccode} %\end{vvtm} %\end{warning} Since \verb|ILIST-EXT| is thus parameterised, you can instantiate it, just as you instantiate \verb|ILIST|. For example, \begin{vvtm} \begin{ccode} module NAT-ILIST-EXT { protecting (ILIST-EXT(IDX <= view to SIMPLE-NAT { sort Elt -> Nat }, DAT <= view to SIMPLE-NAT { sort Elt -> Nat })) } \end{ccode} \end{vvtm} defines a module of enriched indexed lists whose indices and data are both natural numbers. In importing parameterised modules, you can bind parameters to parameters --- ``passing parameters'', as in the following construction. \begin{vvtm} \begin{ccode} module ILIST' (X :: ONE) { protecting (ILIST(X, X)) } \end{ccode} \end{vvtm} Remember that this shorthand notation means that the default view --- i.e., identity mapping ---, from \verb|X| (i.e. \verb|ONE|) to \verb|IDX| and \verb|DAT| (both \verb|ONE|) is bound to the parameters \verb|IDX| and \verb|DAT|. The result of the instantiation is the sort of indexed lists whose indices and data belong to the same (parametric) sort. Let us show a session that reveals what is going on. \begin{vvtm} \begin{ccode} CafeOBJ> module ILIST' (X :: ONE) { protecting (ILIST(X, X)) } -- defining module ILIST'_.*.,,,,,,_,,*._* done. CafeOBJ> select ILIST' ILIST'(X)> show params argument X : protecting ONE ILIST'(X)> show subs protecting(ILIST(IDX <= X, DAT <= X)) ILIST'(X)> \end{ccode} \end{vvtm} The module \verb|ILIST'| has a parameter \verb|X| and imports an instance of \verb|ILIST| to whose parameters \verb|X| are bound. We continue the session and create an instance of \verb|ILIST'|. \begin{vvtm} \begin{ccode} ILIST'(X)> module ILIST'-NAT { pr (ILIST'(X <= view to SIMPLE-NAT { sort Elt -> Nat })) } -- defining module ILIST'-NAT,,,,,,,*,,,,,,,*._* done. ILIST'(X)> \end{ccode} \end{vvtm} \verb|ILIST'-NAT| is a module of indexed lists whose indices and data are both natural numbers --- which is the same module as \verb|ILIST-NAT| in the previous section. Finally, you may use this parameter passing mechanism to get an alternative definition of enriched indexed lists, as follows. \begin{vvtm} \begin{ccode} module ILIST-EXT (IDX :: ONE, DAT :: ONE) { protecting (ILIST(IDX, DAT)) protecting (SIMPLE-NAT) op #_ : Ilist -> Nat var I : Elt.IDX var D : Elt.DAT var L : Ilist eq # put(I,D,L) = s(0) + (# L) . eq # empty = 0 . } \end{ccode} \end{vvtm} \subsection{Parameters with Parameters} There are also cases when parameter modules themselves are parameterised. Consider the following example. \begin{vvtm} \begin{ccode} module* ONE { [ Elt ] } module* STACK (X :: ONE) { [ Stack ] op push : Elt Stack -> Stack } module TRAY (Y :: STACK) { [ Tray ] op tray : Stack Stack -> Tray ops in-tray out-tray : Tray -> Stack op in : Elt Tray -> Tray var E : Elt vars S S' : Stack eq in(E, tray(S,S')) = tray(push(E,S),S') . trans tray(push(E,S),S') => tray(S, push(E, S')) . eq in-tray(tray(S,S')) = S . eq out-tray(tray(S,S')) = S' . } \end{ccode} \end{vvtm} The module \verb|TRAY| is intended to describe the desk of an important executive. The parameter \verb|STACK| of this module itself has a parameter \verb|ONE| (the same as the one in Section \ref{exs:ilist}). There are two ways to instantiate \verb|TRAY|: \begin{itemize} \item[a.] Instantiate \verb|Y|, or \item[b.] Instantiate \verb|X| of \verb|Y|. \end{itemize} In case of a., \verb|Y| should be bound by a module which has the same module \verb|ONE| as parameter. For example, if you have defined \begin{vvtm} \begin{ccode} module LIST (X :: ONE) { [ NeList < List ] op nil : -> List op __ : Elt List -> NeList op __ : Elt NeList -> NeList op head_ : NeList -> Elt op tail_ : NeList -> List var E : Elt var L : List eq head (E L) = E . eq tail (E L) = L . } \end{ccode} \end{vvtm} you may bound \verb|LIST|\footnote{ It has been a ritual to embed elements as one-length lists with a subsort declaration. This practice is not recommended since you may unable to get pushouts as desired. See the Haxhausen's paper in AMAST'96 for detail. } to the parameter \verb|Y|, as \begin{vvtm} \begin{ccode} view LIST-AS-STACK from STACK to LIST { sort Stack -> NeList, op push -> __ } module LIST-TRAY { protecting (TRAY(Y <= LIST-AS-STACK)) } \end{ccode} \end{vvtm} The result is a module with parameter \verb|X| (originated from \verb|LIST|). This module defines trays of lists of \verb|Elt|. Note that \verb|LIST-AS-STACK| omits the map from \verb|Elt| of \verb|X| to itself. This is an example of implicit submodule mapping (cf. Section \ref{sec:p2-succinct-view}). You may further instantiate \verb|LIST-TRAY|, by binding something to \verb|X| --- which is \verb|ONE|, the module of an arbitrary set. In case of b., you bind something to \verb|X| (of \verb|STACK|), which is the module \verb|ONE|. For example, \begin{vvtm} \begin{ccode} module NAT-TRAY { protecting (TRAY(X.Y <= view to SIMPLE-NAT { sort Elt -> Nat })) } \end{ccode} \end{vvtm} creates a module whose trays consist of stacks of natural numbers --- trays of mathematicians, perhaps. Note that \verb|X.Y| is a qualification of a parameter name by another parameter name (cf. Section \ref{sec:p2-naming-and-qualification}). %You may further instantiate \verb|NAT-TRAY|, by binding something %to \verb|Y| --- which is a module of natural number stacks. \verb|NAT-TRAY| is not parametric; as a result of the instantiation, \verb|STACK| becomes in effect a plain submodule of \verb|NAT-TRAY|. %\begin{warning} % The current implementation does not work as explained. After creating % \verb|NAT-TRAY|, no parameter is left. %\end{warning} \subsection{Qualifying Parameter Names} Parameter names may conflict, when a parameterised module imports another parameterised module. To disambiguate parameter names, you may qualify them by module names (Section \ref{sec:p2-naming-and-qualification}). For example, in \begin{vvtm} \begin{ccode} module A ( X :: B ) { ... } module C ( X :: D ) { protecting (A) ... } \end{ccode} \end{vvtm} \verb|X| is both the parameter name of \verb|A| and that of \verb|C|, and is ambiguous in \verb|C|. You may refer to \verb|X| of \verb|A| by ``\verb|X.A|''. The plain \verb|X|, in \verb|C|, refers to \verb|X| of \verb|C|. This means that a sort or operator name may be qualified by a parameter name which itself is qualified by a module name. Since a term may be qualified by a sort name also (see Section \ref{sec:p2-parsing-qualifier}), a chain of qualifications such as \begin{vvtm} \begin{ccode} (f(a)):S.P.M \end{ccode} \end{vvtm} is possible. If there is any ambiguity, qualifier ``\verb|.|'' is considered right associative. \section{Module Expression}\label{sec:p2-module-expression} Syntactically, an instantiation of parameterised modules is an expression involving module names. There are other kinds of such expressions. Expressions over module names are called {\em module expression\/}s. \index{module expression} A module expression represents a module, and may appear in import declarations or in several commands. Here we summarise the syntax of module expressions. \subsection{Module Name} The simplest module expressions are module names. \begin{bsyntax} module constant \Hline \textit{module\_name} \end{bsyntax} A module represented by a module name is the module itself. \subsection{Renaming} {\em Renaming}\index{renaming} is to change sort or operator names, creating a new module. \begin{bsyntax} renaming \index{\texttt{*} (for remaning)} \Hline \textit{module\_expression} ``\texttt{*}'' ``\texttt{\{}'' \textit{map} $*_,$ ``\texttt{\}}'' \end{bsyntax} where a map is \index{\texttt{sort}}\index{\texttt{op}}\index{\texttt{param}} \index{\texttt{hsort}}\index{\texttt{bop}} \begin{tabular}{r c l} \textit{map} &::=& \verb|sort| \textit{sort\_name} ``\verb|->|'' \textit{sort\_name} \\ &$|$& \verb|hsort| \textit{sort\_name} ``\verb|->|'' \textit{sort\_name} \\ &$|$& \verb|op| \textit{operator\_name} ``\verb|->|'' \textit{operator\_name} \\ &$|$& \verb|bop| \textit{operator\_name} ``\verb|->|'' \textit{operator\_name} \\ \end{tabular} Maps are as expected: \verb|sort| maps visible sorts, \verb|hsort| invisibles, \verb|op| ordinary operators, \verb|bop| behaviourals, and \verb|param| parameters. Sort and operator names should be familiar now. Source names may be qualified; target names may not (they are supposed to be brand-new names). \begin{warning} Commas may be omitted. \end{warning} Note that renaming creates a new, different module, even if it has isomorphic models. A consequence is that a renamed module is not shared (cf. Section \ref{sec:p2-module-sharing}). \begin{warning} Renaming is meant to describe a bijective signature morphism (Section \ref{sec:p2-pre-view}). The current implementation allows more flexible renaming, however, and you may collapse two distinct sort/operators into one. If you do give such a renaming, care should be taken. \end{warning} Renaming is quite often used in combination with instantiations. Since instantiation is a (module-level) operation that generates specific data types from generic ones, it is natural for you to confer names that describe specialised sorts and operators more effectively. For example, in specialising generic indexed lists to those of natural numbers (Section \ref{exs:nat-ilist}), you may write \begin{vvtm} \begin{ccode} module NAT-ILIST { protecting (ILIST(IDX <= view to SIMPLE-NAT { sort Elt -> Nat }, DAT <= view to SIMPLE-NAT { sort Elt -> Nat }) * { sort IList -> IList-of-Nat }) } \end{ccode} \end{vvtm} In the parameterised \verb|ILIST|, a simple \verb|IList| is okay to denote lists of something. After instantiation, a list is a list of natural numbers, so why not call it as it is. \subsection{Module Sum} Combining several modules together is another common module-level operation. The combined whole is called {\em module sum}\index{module sum}. \begin{bsyntax} module sum \index{\texttt{+} (module sum)} \Hline \textit{module\_expression} ``\texttt{+}'' \textit{module\_expression} $\{$ ``\texttt{+}'' \textit{module\_expression} $\}$ $*$ \end{bsyntax} A module represented by a module sum consists of all the module elements in the summands. If submodules are imported more than once, it is assumed to be imported once, and is shared throughout (Section \ref{sec:p2-module-sharing}). This construction is sometimes called {\em amalgamated sum} or {\em shared sum}.\index{amalgamated sum}\index{shared sum} From this definition, it follows that \begin{vvtm} \begin{ccode} module A { protecting (B + C) ... } \end{ccode} \end{vvtm} is equivalent to \begin{vvtm} \begin{ccode} module A { protecting (B) protecting (C) ... } \end{ccode} \end{vvtm} \subsection{Making Modules}\label{sec:p2-make-command} Module expressions are often used in isolation. To create a module, it is often the case that you simply import a module represented by an expression, as \begin{vvtm} \begin{ccode} module LOVE { protecting (...) } \end{ccode} \end{vvtm} where ``\verb|...|'' is a module expression. The purpose of this declaration is to give a name to a module defined by the expression. C'est tout. In such a case, an abbreviation is handy. \begin{bsyntax} \texttt{make} command \index{\texttt{make}} \Hline \texttt{make} \textit{module\_name} ``\texttt{(}'' \textit{module\_expression} ``\texttt{)}'' \end{bsyntax} \verb|make| evaluates the module expression and confer the resulting module with the given name. In fact, this is a shorthand of the protecting importation as above. You may want to try this: \begin{vvtm} \begin{ccode} CafeOBJ> make LOVE (SIMPLE-NAT) -- defining module LOVE._* done. CafeOBJ> show LOVE module LOVE { imports { protecting (SIMPLE-NAT) } } CafeOBJ> \end{ccode} \end{vvtm} %\subsection{Rules with Hidden Sorts} % %% but should this be mentioned in the manual? % %In \verb|NAT-COUNTER|, \verb|Counter| acquires a %non-trivial reachability relation. For example, %\begin{vvtm} %\begin{ccode} % add(s(0), init) %\end{ccode} %\end{vvtm} %may be reached from %\begin{vvtm} %\begin{ccode} % add(s(0) | s(s(0)), init) %\end{ccode} %\end{vvtm} %The reasoning is as follows. %\begin{itemize} %\item[] \verb?add(s(0) | s(s(0)), init)? reads as \verb?s(0) | s(s(0)) + 0?, % from two equations in \verb|COUNTER|. %\item[] \verb?s(0) | s(s(0)) + 0? equals \verb?s(0) | s(s(0))? % since \verb|0| is the identity. %\item[] Similarly, \verb?add(s(0), init)? reads as \verb|s(0)|. %\item[] More generally, every context reads % \verb?n + s(0) | s(s(0))? and \verb|n + s(0)| respectively, % for the same \verb|n|. %\item[] For any \verb|n|, \verb|n + s(0)| is % reachable from \verb?n + s(0) | s(s(0))?, by a rule in \verb|HUMANE-NAT| % and because reachability is congruent. %\item[] Therefore, in every context, the read of % \verb?add(s(0), init)? is reachable from % \verb?add(s(0) | s(s(0)), init)?. %\item[] Therefore, behaviourally, the result holds. %\end{itemize} % %By the technique explained in \ref{sec:p2-open-close} as adapted to %coinduction scheme, it is possible to realise the above reasoning %as a proof score in \cafeobj. % %Beware, however, that %na{\" \i}ve combination of a set of equations and that of %rules may result in an undesirable proof. For example, %an indiscriminate use of rules and equations results in the %following rewrite sequence. %\begin{vvtm} %\begin{ccode} % read(add(s(0) | s(s(0)), init)) --> % read(add(s(0), init)) --> % s(0) + read(init) --> % s(0) %\end{ccode} %\end{vvtm} %where the first rewrite uses a rule in \verb|HUMANE-NAT|. This %reduction cannot be used to reason about \verb|Counter|'s behaviour, %since the context was changed before observation. %In general, in reasoning about behavioural equivalence or %reachability, you should use \verb|reduce|, which exludes rules, %instead of \verb|exec|, which does not. \chapter{Theorem-Proving Tools}\label{sec:p2-theorem-proving} The TRS engine (Chapter \ref{sec:p2-term-evaluation}) may be used as a lightweight theorem prover. In addition, the current version of the system supports a couple of commands that act as theorem-proving tools. \section{Open/Closing Modules}\label{sec:p2-open-close} There are commands to modify module declarations. To start modifying a module, use the command \begin{bsyntax} \texttt{open} command \index{\texttt{open}} \Hline \texttt{open} \textit{module\_name} \end{bsyntax} This command enables you to declare new sorts, operators, equations, and so on. Just type declarations after this command. You cannot, however, change or delete the existing declarations. To finish the modification, use the command \begin{bsyntax} \texttt{close} command \index{\texttt{close}} \Hline \texttt{close} \end{bsyntax} \subsection{Why Opening Modules?}\label{sec:p2-usage-of-open} The effects of declarations supplied in between \verb|open| and \verb|close| commands are temporary. \begin{itemize} \item An \verb|open| command creates a new module. This module contains a copy of declarations in the given module. \item Until the module is \verb|close|d, all the declared sorts, equations, etc. are added to the new module. \item \verb|close| expunges the new module. \end{itemize} So \verb|close| makes all your efforts banish. What is the sense of it all? Well, this open/closing mechanism is an ecological tool to (1) make hypotheses, (2) prove, by evaluation, your favourite theorems upon the hypotheses, (3) finish the proof, and delete the hypotheses, (1') start again with new hypotheses, \ldots For example, consider the familiar module \verb|SIMPLE-NAT|, reprinted here. \begin{vvtm} \begin{ccode} module SIMPLE-NAT { [ Zero NzNat < Nat ] op 0 : -> Zero op s : Nat -> NzNat op _+_ : Nat Nat -> Nat vars N N' : Nat eq 0 + N = N . eq s(N) + N' = s(N + N') . } \end{ccode} \end{vvtm} Suppose you want to show that \verb|0| is a right identity of ``\verb|_+_|'' also. Using the standard structural induction\index{structural induction}, you can prove it easily, by showing (1) ``\verb|0 + 0|'' equals \verb|0|, and (2) for any \verb|M|, if ``\verb|M + 0|'' equals \verb|M|, \newline ``\verb|s(M) + 0|'' equals \verb|s(M)|. A score of this proof may be written, using \verb|open| command, as \begin{vvtm} \begin{ccode} open SIMPLE-NAT op a : -> Nat . eq a + 0 = a . reduce 0 + 0 . reduce s(a) + 0 . close \end{ccode} \end{vvtm} When a module is \verb|open|ed, the system changes the prompt beginning with \verb|%|, as \begin{vvtm} \begin{ccode} CafeOBJ> open SIMPLE-NAT -- opening module SIMPLE-NAT.. done. %SIMPLE-NAT> \end{ccode} \end{vvtm} After \verb|open|ing, module elements and various commands can be input. The above score adds a new constant \verb|a| (to represent ``any'' natural number) and an equation (for induction hypothesis), and invlokes reduction commands (base case and induction step). The system evaluates ``\verb|0 + 0|'' and ``\verb|s(a) + 0|'' as usual, and returns the results \verb|0| and \verb|s(a)|. \begin{vvtm} \begin{ccode} %SIMPLE-NAT> op a : -> Nat . %SIMPLE-NAT> eq a + 0 = a . %SIMPLE-NAT> reduce 0 + 0 . * -- reduce in % : 0 + 0 0 : Zero (0.000 sec for parse, 1 rewrites(0.000 sec), 2 matches) %SIMPLE-NAT> reduce s(a) + 0 . -- reduce in % : s(a) + 0 s(a) : NzNat (0.000 sec for parse, 2 rewrites(0.000 sec), 4 matches) %SIMPLE-NAT> close CafeOBJ> \end{ccode} \end{vvtm} You may have noticed quizzical ``\verb|*|'' in the above session. They are not print smudges. When a module is opened, the system processes the subsequent declarations and commands as if they were entered during a normal module declaration, and tries to tell you that it is working furiously (cf. an aside in Section \ref{sec:p2-comment-syntax}). \begin{warning} As you may have noticed in the above example, the current implementation requires a blank-period terminator for each declaration (note ``\verb| .|'' after the operator declaration above). \end{warning} The opened module and the current module need not be the same. For example, if the current module is \verb|NERD|, you can have a session like \begin{vvtm} \begin{ccode} NERD> open SIMPLE-NAT -- opening module SIMPLE-NAT_.* done. %SIMPLE-NAT> select BOOL ... BOOL> close NERD> \end{ccode} \end{vvtm} By opening \verb|SIMPLE-NAT|, the temporary new module is set to be current, as indicated by the prompt. \verb|select| command switches the current module to \verb|BOOL|. \verb|close| restores the previous current module (remember that the effects of declarations and commands during opening are temporary). A convenient way to set the current module while it is opened is selecting the module ``\verb|%|''. \begin{vvtm} \begin{ccode} %SIMPLE-NAT> select % %SIMPLE-NAT> \end{ccode} \end{vvtm} \begin{warning} As you have guessed, the module name ``\verb|%|'' refers to the temporary module. You should not use ``\verb|%|'' as a module name. \end{warning} \subsection{Constant On the Fly}\label{sec:p2-temporary-constant} Let us think awhile of the example of the previous section. In the proof score, a constant \verb|a| was declared by \begin{vvtm} \begin{ccode} op a : -> Nat . \end{ccode} \end{vvtm} to represent {\em any} element of sort \verb|Nat|. Such declarations appear quite often when you are using the evaluation mechanism to prove theorems. To prove that \verb|0| is a right identity, \verb|a| appeared to calculate the induction step \begin{vvtm} \begin{ccode} reduce s(a) + 0 . \end{ccode} \end{vvtm} To make proofs more concise, you may use on-the-fly declarations of constants, similar to variable declarations on the fly (Section \ref{sec:p2-variable-decl}). \begin{bsyntax} constant declaration on the fly \Hline \textit{constant\_name}``\texttt{:}''\textit{sort\_name} \end{bsyntax} where a constant name is a character string that starts with the backquote ``\verb|`|''. The effects of declarations are temporary, like the case of variables. Using this construct, it is possible to invoke reduction commands, without \verb|open|ing modules, as \begin{vvtm} \begin{ccode} CafeOBJ> select SIMPLE-NAT SIMPLE-NAT> reduce 0 + 0 . -- reduce in SIMPLE-NAT : 0 + 0 0 : Zero (0.000 sec for parse, 1 rewrites(0.000 sec), 1 matches) SIMPLE-NAT> reduce s(`a:Nat) + 0 . -- reduce in SIMPLE-NAT : s(`a:Nat) + 0 s(`a:Nat + 0) : NzNat (0.000 sec for parse, 1 rewrites(0.000 sec), 6 matches) SIMPLE-NAT> \end{ccode} \end{vvtm} This time, the hypothesis is implicit: instead of stating and using it explicitly, you take note of it in analysing the result of the second evaluation. \begin{warning} In fact, you get quite similar effects by using variables on the fly, instead of constants. Although evaluation is a procedure for ground terms, the system allows variables within terms to be reduced. Here is an example corresponding to the second reduction above. \begin{vvtm} \begin{ccode} SIMPLE-NAT> reduce s(X:Nat) + 0 . -- reduce in SIMPLE-NAT : s(X:Nat) + 0 s(X:Nat + 0) : NzNat (0.000 sec for parse, 1 rewrites(0.000 sec), 6 matches) SIMPLE-NAT> \end{ccode} \end{vvtm} But note that the system does not treat non-ground terms as such. It treats variables as if they were constants, and would not attempt unification. \end{warning} \section{Applying Rewrite Rules}\label{sec:p2-applying-rules} In Section \ref{sec:p2-open-close}, it was shown that reductions can be used to prove some theorems. For more demanding theorems, they are inadequate. Consider the additive group theory written in \cafeobj. \label{exs:group} \begin{vvtm} \begin{ccode} module* GROUP { [ G ] op 0 : -> G op _+_ : G G -> G { assoc } op -_ : G -> G var X : G eq 0 + X = X . eq (- X) + X = 0 . } \end{ccode} \end{vvtm} Suppose you want to show that ``\verb|- X|'' is also a right inverse (so {\em the} inverse). Using \verb|open|, you may write a score as \begin{vvtm} \begin{ccode} open GROUP op a : -> G . reduce a + (- a) . \end{ccode} \end{vvtm} or, using a constant on the fly, just \begin{vvtm} \begin{ccode} reduce in GROUP : `a:G + (- `a) . \end{ccode} \end{vvtm} But the result of reduction is simply \begin{vvtm} \begin{ccode} CafeOBJ> reduce in GROUP : `a:G + (- `a) . -- reduce in GROUP : `a:G + - `a:G `a:G + - `a:G : G (0.000 sec for parse, 0 rewrites(0.000 sec), 8 matches) CafeOBJ> \end{ccode} \end{vvtm} which is no wonder, since no equation has a matching lefthand side. In fact, a standard proof goes as follows. \begin{vvtm} \begin{ccode} a + (- a) = 0 + a + (- a) = (- (- a)) + (- a) + a + (- a) = (- (- a)) + 0 + (- a) = (- (- a)) + (- a) = 0 \end{ccode} \end{vvtm} where we omitted parentheses since ``\verb|_+_|'' was declared associative. This proof requires two ``reverse'' applications of rewrite rules. \subsection{Start, Then Apply}\label{sec:p2-apply-command} To accommodate such proofs as above, \cafeobj~supports the following set of commands. \begin{bsyntax} \texttt{start} command \index{\texttt{start}} \Hline \texttt{start} \textit{term} ``\texttt{.}'' \end{bsyntax} where a term is a term of the opened module (Section \ref{sec:p2-open-close}), or in the current context (Section \ref{sec:p2-current-module}). This command sets the focus on the given term, which may be printed and referred to in the subsequent commands. \verb|show| command (Section \ref{sec:p2-show-command}) with \verb|term| as argument prints the term just selected.\index{\texttt{show}}\index{\texttt{term}} \begin{bsyntax} \texttt{apply} command \index{\texttt{apply}} \Hline \texttt{apply} \textit{action} $[$\textit{substitution}$]$ \textit{range selection} \end{bsyntax} where the action, substitution, range and selection are as follows. \index{\texttt{reduce}}\index{\texttt{exec}}\index{\texttt{print}} \begin{tabular}{r c l} \textit{action} &::=& \verb|reduce| \\ &$|$& \verb|exec| \\ &$|$& \verb|print| \\ &$|$& \textit{rewrite\_rule} \\ \end{tabular} where a rewrite rule is \begin{bsyntax} rule specification in \texttt{}apply\textit{} command \Hline $[$``\texttt{+}''$|$``\texttt{-}''$]$$[$\textit{module\_name}$]$``\texttt{.}''$\{$ \textit{number}$|$\textit{label} $\}$ \end{bsyntax} If the action is \texttt{reduce} or \texttt{exec}, the (sub)term specified by the range and selection is reduced. If it is \texttt{print}, the (sub)term is printed. If it is a rewrite rule, the chosen rule is applied, once, to the subterm. In the last case, the numbered or labelled rule of the module (if omitted, of the opened module) is used from left to right (if the sign is ``\verb|+|'' or none), or right to left (if ``\verb|-|''). We will first show a couple of examples in Section \ref{sec:p2-usage-of-apply} and say more on this construct later (Section \ref{sec:p2-apply-rule-id}). Substitutions are of the form \begin{bsyntax} substitution specification in \texttt{}apply\textit{} command \Hline ~~~~\texttt{}with\textit{} $\{$ variable ``\/\texttt{}=\textit{}'' term $\}$ $+_,$ \end{bsyntax} This option is necessary only when the action is a rewrite rule, and binds variables that appear in the rule (see the next section for why this option exists). Ranges and selections are as follows. \begin{tabular}{r c l}\index{\texttt{within}}\index{\texttt{at}} \textit{range} &::=& \verb|within| $|$ \verb|at| \end{tabular} \verb|within| means at or inside the (sub)term specified by the selection, while \verb|at| means exactly at the (sub)term. \begin{tabular}{r c l}\index{\texttt{of}} \textit{selection} &::=& \textit{selector} $\{$ \texttt{of} \textit{selector} $\}$ $*$\\ \index{\texttt{top}}\index{\texttt{term}}\index{\texttt{subterm}} \textit{selector} &::=& \verb|top| \\ &$|$& \verb|term| \\ &$|$& \verb|subterm| \\ &$|$& ``\verb|(|'' \textit{number\_list} ``\verb|)|'' \\ &$|$& ``\verb|[|'' \textit{sublist} ``\verb|]|'' \\ &$|$& ``\verb|{|'' \textit{subset} ``\verb|}|'' \\ \end{tabular} \verb|top| and \verb|term| mean the entire term. \verb|subterm| means the pre-chosen subterm (see the next section). For the other alternatives, \begin{itemize} \item The list of numbers, separated by blanks, within ``\verb|(|'', ``\verb|)|'' indicates a subterm by tree search. For example, ``\verb|(2 1)|'' means the first argument of the second argument; if ``\verb|a + (b * c)|'' is the term of concern, it means \verb|b|. \item The \verb|[|, \verb|]| selector makes sense only with associative operators, and indicates a subterm in a flattened structure. For example, if ``\verb|_*_|'' was declared associative and given a term \newline ``\verb|a * b * c * d * e|'', ``\verb|[2 .. 4]|'' means ``\verb|b * c * d|'', while ``\verb|[2 .. 2]|'' means \verb|b|. The latter case can be abbreviated to \verb|[2]|. \item The \verb|{|, \verb|}| selector makes sense only with associative and commutative operators, and indicates a subterm in a multiset structure. For example, if ``\verb|_*_|'' was declared associative and commutative, and given a term ``\verb|b * c * d * e * f|'', both ``\verb|{2, 4}|'' and ``\verb|{4, 2}|'' means a subterm \newline ``\verb|c * e|'', while \verb|{4}| means \verb|e|. \end{itemize} Note that the above selections are indeed subterms. If ``\verb|_*_|'' is associative, the connectivity is immaterial, in whatever way the term was originally given. If it is commutative in addition, even the order is immaterial. \begin{warning} \verb|top| is obsolete, and is here only for historical curiosity. \end{warning} \subsection{Applying Apply Command}\label{sec:p2-usage-of-apply} \verb|apply| command has a very complicated syntax. It is better to explain its behaviours by examples. We use the group theory presented at the start of this section. To show ``\verb|- X|'' is a right inverse, you may use the following sequence of commands. \begin{vvtm} \begin{ccode} open GROUP op a : -> G . start a + (- a) . apply -.1 at (1) . apply -.2 with X = - a at [1] . apply reduce at term . \end{ccode} \end{vvtm} (The numbers of rewrite rules are printed by \verb|show| command. See Section \ref{sec:p2-apply-rule-id}.) After two applications of reversed rules, reduction yields the desired result, as follows. \begin{vvtm} \begin{ccode} NAT> open GROUP -- opening module GROUP... done. %GROUP> op a : -> G %GROUP> start a + (- a) . %GROUP> apply -.1 at (1) . *result 0 + a + - a : G %GROUP> apply -.2 with X = - a at [1] . result - (- a) + - a + a + - a : G %GROUP> apply reduce at term . result 0 : G %GROUP> \end{ccode} \end{vvtm} Look in more detail what happened at the second \verb|apply| command. This command applied \begin{vvtm} \begin{ccode} eq (- X) + X = 0 . \end{ccode} \end{vvtm} to the subterm \verb|0|. Without saying anything, a variable \verb|X| would be introduced. This situation often occurs when a rule is reversely applied. The substitution ``\verb|X = - a|'' avoids that. You can continue, and prove another theorem that \verb|0| is a right identity (so {\em the} identity). Since we already showed ``\verb|a + (- a)|'' equals \verb|0|, it is sound to add the equation. That leads to the command sequence \begin{vvtm} \begin{ccode} eq a + (- a) = 0 . start a + 0 . apply -.2 with X = a at (2) . apply reduce at term . \end{ccode} \end{vvtm} which mirrors the reasoning \begin{vvtm} \begin{ccode} a + 0 = a + (- a) + a = 0 + a = a \end{ccode} \end{vvtm} \subsection{Choosing Subterms}\label{sec:p2-choose-command} If a term has a complicated structure, it is error-prone to select a subterm at once. To make safer selections, a command is supported. \begin{bsyntax} \texttt{choose} command \index{\texttt{choose}}\Hline \texttt{choose} \textit{selection} \end{bsyntax} where a selection is as in \verb|apply| (Section \ref{sec:p2-apply-command}). This command sets the focus to the chosen subterm, and its successive application narrows the focus gradually. \verb|show| command with \verb|subterm| argument may be used to print the current subterm in focus.\index{\texttt{show}}\index{\texttt{subterm}} For example, if you define a module of rings as\label{exs:ring} \begin{vvtm} \begin{ccode} module* RING { [ R ] op 0 : -> R op _+_ : R R -> R { assoc comm prec: 35 } op -_ : R -> R op _*_ : R R -> R { assoc prec: 31 } vars X Y Z : R eq 0 + X = X . eq (- X) + X = 0 . eq X * (Y + Z) = X * Y + X * Z . eq (Y + Z) * X = Y * X + Z * X . } \end{ccode} \end{vvtm} and after \verb|open|ing \verb|RING|, you get \begin{vvtm} \begin{ccode} %RING> op f_ : R -> R . %RING> start ((f f 0) * ((f f f 0) + (- (f f f f 0)))) * ((- (f f f f 0)) + ((f f f 0) * ((f f f f 0) * ((f f 0) + ((f f f f f 0) * (f 0)))))) . %RING> choose (2) . %RING> show subterm ((- (f (f (f (f 0))))) + ((f (f (f 0))) * ((f (f (f (f 0)))) * ((f (f 0)) + ((f (f (f (f (f 0))))) * (f 0)))))) : R %RING> choose (2) . %RING> show subterm ((f (f (f 0))) * ((f (f (f (f 0)))) * ((f (f 0)) + ((f (f (f (f (f 0))))) * (f 0))))) : R %RING> choose [1 .. 2] . %RING> show subterm ((f (f (f 0))) * (f (f (f (f 0))))) : R %RING> show term (((f (f 0)) * ((f (f (f 0))) + (- (f (f (f (f 0))))))) * ((- (f (f (f (f 0))))) + (((f (f (f 0))) * (f (f (f (f 0))))) * ((f (f 0)) + ((f (f (f (f (f 0))))) * (f 0)))))) : R %RING> \end{ccode} \end{vvtm} The last command was used to print the entire term that had been \verb|start|ed. This command was also useful in the stepper (cf. Section \ref{sec:p2-eval-step-mode}). You may also print the subterm in a tree form, as \begin{vvtm} \begin{ccode} %RING> show subterm tree ((f (f (f 0))) * (f (f (f (f 0))))) : R _*_ / \ f_ f_ | | f_ f_ | | f_ f_ | | 0 f_ | 0 %RING> \end{ccode} \end{vvtm} The current term, subterm etc. can also be printed by \verb|show| command, as\index{\texttt{show}}\index{\texttt{context}} (cf. Sections \ref{sec:p2-current-module}, \ref{sec:p2-apply-to-cond}) \begin{vvtm} \begin{ccode} %RING> show context -- current context : [module] % [special bindings] $$term = (((f (f 0)) * ((f (f (f 0))) + (- (f (f (f (f 0))))))) * ((- (f (f (f (f 0))))) + (((f (f (f 0))) * (f (f (f (f 0))))) * ((f (f 0)) + ((f (f (f (f (f 0))))) * (f 0)))))) : R $$subterm = ((f (f (f 0))) * (f (f (f (f 0))))) : R [bindings] empty. [selections] 1| [ 1 .. 2 ] . 2| ( 2 ) . 3| ( 2 ) . [pending actions] none. [stop pattern] not specified. %RING> \end{ccode} \end{vvtm} \subsection{Identifying Rewrite Rules}\label{sec:p2-apply-rule-id} We have not shown how to obtain the number that designates a specific rewrite rule. Returning to \verb|GROUP|, you may print rewrite rules --- or axioms so regarded --- as follows.\index{\texttt{show}}\index{\texttt{rules}} \begin{vvtm} \begin{ccode} CafeOBJ> open GROUP -- opening module GROUP_.* done. %GROUP> show rules -- rewrite rules in module : %GROUP 1 : eq 0 + X = X 2 : eq - X + X = 0 %GROUP> \end{ccode} \end{vvtm} Rules of any module may be printed, by supplying an extra argument. \begin{vvtm} \begin{ccode} %GROUP> show rules RING -- rewrite rules in module : RING 1 : eq 0 + X = X 2 : eq - X + X = 0 3 : eq X * (Y + Z) = X * Y + X * Z 4 : eq (Y + Z) * X = Y * X + Z * X %GROUP> \end{ccode} \end{vvtm} It is also possible to print all the rules, including those declared in imported modules, by specifying \verb|all|, as in\index{\texttt{all}} \begin{vvtm} \begin{ccode} %GROUP> show all rules \end{ccode} \end{vvtm} The numbering of the above is used to specify rewrite rules. For example, you encountered in Section \ref{sec:p2-usage-of-apply} a command \begin{vvtm} \begin{ccode} %GROUP> apply -.1 at (1) . \end{ccode} \end{vvtm} The specified rule, according to the output above, was \begin{vvtm} \begin{ccode} 1 : eq 0 + X = X \end{ccode} \end{vvtm} and the minus sign was added to apply this rule in reverse. You may decorate a rule number with a module name, like \begin{vvtm} \begin{ccode} %GROUP> apply -GROUP.1 at (1) . \end{ccode} \end{vvtm} which will apply the same rule as before. Axiom labels may also be used to designate rules. For example, if the above equation were labelled as \begin{vvtm} \begin{ccode} eq [l-id] : 0 + X = X . \end{ccode} \end{vvtm} the \verb|apply| command might as well be \begin{vvtm} \begin{ccode} %GROUP> apply -.l-id at (1) . \end{ccode} \end{vvtm} \begin{warning} Do not put blanks anywhere in between the sign, module name, period, number or label. Memorise ``a rule spec hates vacuum''. \end{warning} Finally, \verb|show| command with \verb|rule| (not \verb|rules|) may be used to print a single rule. This command is useful when the number of rewrite rules is large. An example:\index{\texttt{show}}\index{\texttt{rule}} \begin{vvtm} \begin{ccode} %GROUP> show rule .2 rule 2 of the last module - X + X = 0 (This rule rewrites up.) \end{ccode} \end{vvtm} Do not forget the period before \verb|2|. Arguments to this command are rule specifications, and ``\verb|.2|'' is of rule specification form, according to the definition in Section \ref{sec:p2-apply-command}. ``\verb|show rule|'' and ``\verb|show rules|'' may be invoked when no module is opened. In such a case, the rule(s) of the current module are printed. \subsection{Appyling Conditionals}\label{sec:p2-apply-to-cond} When the action is a rewrite rule, \verb|apply| command tries to apply just one rule and immediately returns the control to you. What if the rule is conditional? Recall \verb|GCD| (Section \ref{exs:gcd}): \begin{vvtm} \begin{ccode} CafeOBJ> open GCD -- opening module GCD.. done. %GCD> start gcd(s(0),s(s(0))) . %GCD> show rules -- rewrite rules in module : %GCD 1 : ceq gcd(N,M) = gcd(M,N) if N < M 2 : eq gcd(N,0) = N 3 : ceq gcd(s(N),s(M)) = gcd(s(N) - s(M),s(M)) if not N < M %GCD> apply +.1 at term . shifting focus to condition -- condition(1) s(0) < s(s(0)) : Bool %GCD> show context -- current context : [module] % [special bindings] $$term = (s(0) < s(s(0))) : Bool $$subterm = $$term [bindings] empty. [selections] empty. [pending actions] 1| in gcd(s(0),s(s(0))) at top | rule ceq gcd(N,M) = gcd(M,N) if N < M | condition s(0) < s(s(0)) replacement gcd(s(s(0)),s(0)) [stop pattern] not specified. %GCD> \end{ccode} \end{vvtm} It looked certain that the rule \verb|1| would apply, so you tried it. The system then told that, since that rule was conditional, it had to resolve the condition first. \verb|show| command with \index{\texttt{context}} argument were partly explained in Sections \ref{sec:p2-current-module} and \ref{sec:p2-choose-command}. What was remained was the misterious heading ``[pending actions]''. This part is used exactly in a situation like now, and contains terms to be further reduced after a condition --- the current focus --- has been evaluated. The instance of the condition requires rules in \verb|SIMPLE-NAT+| (Section \ref{exs:simple-nat+}), so you have to continue as follows. \begin{vvtm} \begin{ccode} %GCD> show rules SIMPLE-NAT+ -- rewrite rules in module : SIMPLE-NAT+ 1 : eq 0 - M = 0 2 : eq N - 0 = N 3 : eq s(N) - s(M) = N - M 4 : eq 0 < s(N) = true 5 : eq N < 0 = false 6 : eq s(N) < s(M) = N < M %GCD> apply +SIMPLE-NAT+.6 at term . -- condition(1) 0 < s(0) : Bool %GCD> apply +SIMPLE-NAT+.4 at term . -- condition(1) true : Bool -- condition is satisfied, applying rule -- shifiting focus back to previous context result gcd(s(s(0)),s(0)) : Nat %GCD> \end{ccode} \end{vvtm} At last the condition was satisfied, and the system rewrote the original term. You may continue, this time applying the rule \verb|3|. \begin{vvtm} \begin{ccode} %GCD> apply +.3 at term . shifting focus to condition -- condition(1) not s(0) < 0 : Bool %GCD> \end{ccode} \end{vvtm} But reduction of ``\verb|_<_|'' is obvious so you apply \verb|reduce| at once. \begin{vvtm} \begin{ccode} %GCD> apply reduce at term . -- condition(1) true : Bool -- condition is satisfied, applying rule -- shifiting focus back to previous context result gcd(s(s(0)) - s(0),s(0)) : Nat %GCD> \end{ccode} \end{vvtm} The original term was further rewritten, and you can continue as before. As shown by this frustrating example, what \verb|apply| basically offers is a painful step-by-step reasoing. There are ways to skip certain parts at one go. One way is to invoke the action \verb|reduce|, as above. In the case of conditional rewrite rules, there is another, systematic way to do it. Let us redo the above session using this mechanism.\index{\texttt{reduce}}\index{\texttt{conditions}} \begin{vvtm} \begin{ccode} %GCD> start gcd(s(0), s(s(0))) . %GCD> set reduce conditions on %GCD> apply +.1 at term . result gcd(s(s(0)),s(0)) : Nat %GCD> apply +.3 at term . result gcd(s(s(0)) - s(0),s(0)) : Nat %GCD> apply +.1 at term . [Warning]: rule not applied result gcd(s(s(0)) - s(0),s(0)) : Nat %GCD> \end{ccode} \end{vvtm} The switch ``\verb|reduce conditions|'', when \verb|on|, makes the system to evaluate conditions automatically. \section{Matching Terms}\label{sec:p2-matching-terms} Matching is a basic procedure in evaluation (Section \ref{sec:p2-trs-basic}). It may be useful by itself as a theorem-proving helper, since \begin{itemize} \item When you use \verb|reduce| command, it is a good practice to write down the expected result beforehand. If the actual result differs, you immediately notice something is going wrong. A standard way to realise this practice is to use a printable comment ``\verb|-->|'' or ``\verb|**>|'' (Section \ref{sec:p2-comment-syntax}), as \begin{vvtm} \begin{ccode} reduce s(s(0)) + s(0) . **> should be: s(s(s(0))) \end{ccode} \end{vvtm} The system then prints \begin{vvtm} \begin{ccode} -- reduce in SIMPLE-NAT : s(s(0)) + s(0) s(s(s(0))) : NzNat (0.000 sec for parse, 3 rewrites(0.000 sec), 5 matches) **> should be: s(s(s(0))) \end{ccode} \end{vvtm} so that you can compare the actual and expected results easily. A more sophisticated mechanism is to invoke a matching procedure. And \item In using \verb|reduction| and \verb|apply| commands for theorem proving, it is necessary to know what rewrite rules are applicable to what terms. You can inspect the rules by \verb|show| command, but if the set of rules is large, it is tedious. A tool to list applicable rules is helpful. ``Applicable'' here means ``having matchable lefthand side''. \end{itemize} \subsection{Match Command}\label{sec:p2-match-command} \begin{bsyntax} \texttt{match} command \index{\texttt{match}}\Hline \texttt{match} \textit{term\_specifier} \texttt{to} \textit{pattern} ``\texttt{.}'' \end{bsyntax} The last period (preceded by a blank) is necessary. Term specifiers and patterns are as follows. \begin{tabular}{r c l}\index{\texttt{top}}\index{\texttt{term}}\index{\texttt{it}} \index{\texttt{subterm}} \textit{term\_specifier} &::=& \verb|top| \\ &$|$& \verb|term| \\ &$|$& \verb|it| \\ &$|$& \verb|subterm| \\ &$|$& \textit{term} \\ \end{tabular} where a term is a usual term. \verb|top| or the literal \verb|term| means the term set by \verb|start| command; \verb|subterm| means the term selected by \verb|choose| commands; \verb|it| is the same as \verb|subterm| if \verb|choose| was used, and is the same as \verb|top| otherwise. \begin{warning} Unlike former versions, the current version do not require enclosing parentheses for a term. If you are cautious, put them anyway. They are harmless. \end{warning} \begin{tabular}{r c l}\index{\texttt{all}}\index{\texttt{rules}}\index{\texttt{+rules}} \index{\texttt{-rules}} \textit{pattern} &::=& $[$ \verb|all| $]$ $\{$ \verb|rules| $|$ \verb|+rules| $|$ \verb|-rules| $\}$ \\ &$|$& \textit{term} \end{tabular} where a term is a usual term. \verb|rules|, ``\verb|+rules|'' or ``\verb|-rules|'' lists rewrite rules applicable to the specified term. ``\verb|+rules|'' means the rules with matching lefthand sides, ``\verb|-rules|'' means those with matching righthand sides, and \verb|rules| means both. If optional \verb|all| is given, all the rules in the current context, including those declared in built-in modules, are inspected. If a pattern is a term, matching is attempted, and if successful, the matching subsitution is printed. Is a pattern is \verb|rules|, ``\verb|+rules|'' or ``\verb|-rules|'', the list of applicable rules, together with corresponding matching substutitions, are printed. \subsection{Matching Terms to Terms}\label{sec:p2-match-to-term} We use \verb|GROUP| (Section \ref{exs:group}) for examples. \begin{vvtm} \begin{ccode} CafeOBJ> select GROUP GROUP> match 0 + 0 to X:G + 0 . -- match success. substitution : { X |-> 0 } -- No more match GROUP> match 0 + 0 to X:G + Y:G . -- match success. substitution : { X |-> 0, Y:G |-> 0 } -- No more match GROUP> match 0 to 0 + 0 . -- no match GROUP> \end{ccode} \end{vvtm} As shown above, the system prints the substitution when matching succeeds. The system recognises equational theory attributes, such as associativity (Section \ref{sec:p2-equational-theory}), and tries all the possibilities, as \begin{vvtm} \begin{ccode} GROUP> match 0 + 0 + 0 to X:G + Y:G . -- match success. substitution : { X |-> 0, Y:G |-> 0 + 0 } >> More? [y/n] : y -- match success : * substitution : { X |-> 0 + 0, Y:G |-> 0 } -- No more match GROUP> \end{ccode} \end{vvtm} Remember that ``\verb|_+_|'' was declared associative. Modulo associativity, there are two ways of matching the above two terms. \begin{warning} It is possible for a term to contain variables, both as a term specifier and as a pattern. For example, it is legal to try \begin{vvtm} \begin{ccode} match X:G + 0 to 0 + X':G . \end{ccode} \end{vvtm} But this does not acts as expected: \begin{vvtm} \begin{ccode} GROUP> match X:G + 0 to 0 + X':G . -- no match GROUP> \end{ccode} \end{vvtm} \verb|match| is a matching procedure, not a unification. If a term (to the left of ``\verb|to|'') contains a variable, it is treated as a pseudo-constant. In the above example, \verb|X| acts as a constant, and cannot be substituted by \verb|0|. \end{warning} \subsection{Matching Terms to Pattern}\label{sec:p2-match-to-pattern} We next deal with the cases when the pattern designates a set of rules. For illustration, we add several equations before invoking matching. \begin{vvtm} \begin{ccode} GROUP> open GROUP -- opening module GROUP_.* done. %GROUP> ops a b : -> G . %GROUP> eq X:G + Y:G = Y + X . %GROUP> eq a + X:G = a + X + a . %GROUP> start 0 + a + a . %GROUP> match term to +rules . == matching rules to term : (0 + (a + a)) +%.1 is eq 0 + X = X substitution : { X |-> a + a } +%.3 is eq X + Y:G = Y:G + X substitution : { Y:G |-> a + a, X |-> 0 } +%.4 is eq a + X = a + X + a substitution : { X |-> a } %GROUP> \end{ccode} \end{vvtm} The system lists applicable rules to the term ``\verb|0 + a + a|''. In this output, a rule is numbered, adorned with the module name ``\verb|%|'' (the opened module: cf. Section \ref{sec:p2-usage-of-open}), and a sign. Remember that this form appears in arguments to \verb|apply| command (Section \ref{sec:p2-apply-rule-id}). You may have noticed two differences from the cases of matching terms to terms. \begin{itemize} \item Not all possibilities are considered. In the above output, only one matching possibility is shown for the rule \verb|3|, even though there are two possibilities (see the previous section). \item All the subterms of the given term is under consideration. The rule \verb|4| does not match the whole term, but does match a subterm. \end{itemize} The case where ``\verb|-rules|'' is specified is similar. \begin{vvtm} \begin{ccode} %GROUP> match term to -rules . == matching rules to term : (0 + (a + a)) -%.1 is eq 0 + X = X substitution : { X |-> 0 + a + a } -%.3 is eq X + Y:G = Y:G + X substitution : { Y:G |-> 0, X |-> a + a } -%.20 is eq if true then CXU else CYU fi = CXU substitution : { CXU |-> 0 + a + a } -%.21 is eq if false then CXU else CYU fi = CYU substitution : { CYU |-> 0 + a + a } %GROUP> \end{ccode} \end{vvtm} \begin{warning} The last two printed rules are of \verb|BOOL| (actually, a submodule thereof). This rule is always applicable in reverse, since the righthand side is a single variable. \end{warning} \chapter{Proving Module Properties}\label{sec:p2-semantic-prop} \section{Check Command}\label{sec:p2-check-command} Some of the module properties are checkable syntactically, within reasonable computation cost. \begin{bsyntax} \texttt{check} command \index{\texttt{check}}\Hline \index{\texttt{regularity}}\index{\texttt{compatibility}}\index{\texttt{laziness}} \texttt{check} $\{$ \texttt{regularity} $|$ \texttt{compatibility} $\}$ $[$\textit{module\_expression}$]$ \texttt{check} $\{$ \texttt{laziness} $\}$ $[$\textit{operator\_name}$]$ \end{bsyntax} A module expression may be omitted if the current module (Section \ref{sec:p2-current-module}) is set. \verb|regularity| may be abbreviated to \verb|reg| or \verb|regular|, \verb|compatibility| to \verb|compat|, and \verb|laziness| to \verb|lazy|. \paragraph{Regularity} If the first argument is \verb|regularity|, the system checks if the module is regular\index{regular}. Using \verb|INTB'| in Section \ref{exs:intb'}, you can obtain the following message. \begin{vvtm} \begin{ccode} CafeOBJ> check regularity INTB' >> start regularity check ... >> The following sorts may be required for regularity: [ Nat^NonPos < NonPos Nat ] >> The following operators may be required for regularity: _+_ : Nat^NonPos Nat^NonPos -> Nat^NonPos CafeOBJ> \end{ccode} \end{vvtm} while with \verb|SIMPLE-NAT|, the system reports nothing, as \begin{vvtm} \begin{ccode} CafeOBJ> check regularity SIMPLE-NAT >> start regularity check ... -- signature of module SIMPLE-NAT is regular. CafeOBJ> \end{ccode} \end{vvtm} Unlike \verb|regularize| command (Section \ref{sec:p2-wff-terms}), this command does not modify the signature. \paragraph{Compatibility} If the first argument is \verb|compatibility|, the system checks if the TRS defined by the module is compatible\index{compatible}, i.e., every application of every rewrite rule to every well-formed term results in a well-formed term. Note that, in order-sorted rewriting, an application of a rewrite rule may introduce an ill-formed term. For (a contrived) example, \begin{vvtm} \begin{ccode} module NONCOMPAT { [ S < S' ] op a : -> S op b : -> S' op f : S -> S eq a = b . } \end{ccode} \end{vvtm} is not compatible, since \verb|f(a)|, which is well-formed, rewrites to \verb|f(b)|, which is ill-formed. As this example shows, non-compatibility is caused by a rewrite rule that ``raise''s the sort of a term. This is not a necessary condition of compatibility, however. In the absence of the operator \verb|f|, the above module {\em is} compatible. The system checks a necessary and sufficient condition of compatibility, as \begin{vvtm} \begin{ccode} CafeOBJ> check compatibility NONCOMPAT >> started compatibility check: >> module (corresponding TRS) is NOT compatible: - rewrite rule a = b violates the compatibility, and following operator(s) can possibly be affected: f : S -> S CafeOBJ> module COMPAT { [ S < S' ] op a : -> S op b : -> S' eq a = b . } -- defining module COMPAT..._.* done. CafeOBJ> check compatibility COMPAT >> started compatibility check: >> module is compatible. CafeOBJ> \end{ccode} \end{vvtm} \begin{warning} As shown in Section \ref{sec:p2-flexible-typing}, the current implementation regards a term like \verb|f(b)| above as {\em well-formed}, although of a questionable sort. The above definition should be rephrased, in this setting, in terms of error sorts. \end{warning} \paragraph{Laziness} If the first argument is \verb|laziness|, the system checks if the given operator can be evaluated lazily. The operator must be in the current module (which must be set beforehand). If an operator name is omitted, all the operators directly declared in the current module is checked. Laziness\index{laziness} is related to evaluation strategies. The system checks a sufficient condition under which an operator may be evaluated lazily, as explained Section \ref{sec:p2-rew-strategy}. Here is an example. \begin{vvtm} \begin{ccode} CafeOBJ> module LAZY { [ S ] op f : S -> S op g : S -> S eq f(f(X:S)) = g(X) . eq g(X:S) = X . } -- defining module LAZY..._..* done. CafeOBJ> select LAZY LAZY> check laziness ------------------------------------------------------------ * laziness of operator: (f) * ------------------------------------------------------------ f : S -> S * strict on the arguments : 1 - rewrite strategy: 1 0 - axioms: eq f(f(X:S)) = g(X:S) ------------------------------------------------------------ * laziness of operator: (g) * ------------------------------------------------------------ g : S -> S * may delay the evaluation on the arguments : 1 - rewrite strategy: 0 1 0 - axioms: eq g(X:S) = X:S LAZY> \end{ccode} \end{vvtm} \begin{warning} The system only checks an apparent sufficient condition, and do not use a detailed strictness analysis as used in functional language compilers. The word ``laziness'' was chosen humbly and carefully. \end{warning} \section{Theorem Proving Techniques}\label{sec:p2-theorem-proving-exs} We have already shown a couple of proofs based on the TRS engine of \cafeobj(Sections \ref{sec:p2-usage-of-open}, \ref{sec:p2-usage-of-apply}). There a proof score was a sequence of commands, including \verb|open|, \verb|reduce| and \verb|apply|. The system reads the commands, rewrites terms as commanded, and prints the result. Behind such rewrite sequences is equational reasoning: schematically, the reasoning is of the form \begin{center} $t_0$ $=$ $t_1$ $=$ $\ldots$ $=$ $t_n$ \end{center} and the theorem to prove is the equation $t_0$ $=$ $t_n$. Another way to prove theorems by evaluation is to state the theorems as terms of sort \verb|Bool|, and to evaluate them. If the terms are reduced to \verb|true|, the theorems are proved. For example, to show \begin{vvtm} \begin{ccode} eq a + (- a) = 0 . \end{ccode} \end{vvtm} we may try to reduce the term \begin{vvtm} \begin{ccode} a + (- a) == 0 \end{ccode} \end{vvtm} to \verb|true|. This approach does not confer you with much extra power. As explained in Section \ref{sec:p2-equality-pred}, in evaluating ``\verb|_==_|'', \cafeobj~simply reduces both arguments, and check if they are equal. Apart from the equality checking part, which involves equational theory (Section \ref{sec:p2-equational-theory}), what can be done with ``\verb|_==_|'' can be done without. In terms of presentation, however, this approach produces something like \begin{vvtm} \begin{ccode} ... %GROUP> start a + (- a) == 0 . ... %GROUP> apply reduce at term . result true : Bool \end{ccode} \end{vvtm} which is more appealing to intuition than \begin{vvtm} \begin{ccode} ... %GROUP> start a + (- a) . ... %GROUP> apply reduce at term . result 0 : G \end{ccode} \end{vvtm} where you must mentally compare the actual result with the expected. Especially, when both sides of the equation need evaluation, this approach provides you with a much more compact proof. \subsection{Structural Induction}\label{sec:p2-proof-by-induction} In Section \ref{sec:p2-usage-of-open}, we have presented a proof score to show that \verb|0| is a right identity of ``\verb|_+_|'' under the definition of \verb|SIMPLE-NAT|. The score relies on structural induction\index{structural induction}. Strictly speaking, proofs by structural induction only demonstrate that certain properties (called {\em inductive properties}\index{inductive property}) hold for the term-generated models of a module, including its initial model. Recall that ``\verb|module!|'' denotes such a model, while \verb|module| has both tight and loose denotations. Since \verb|SIMPLE-NAT| was declared with \verb|module|, what was proven in Section \ref{sec:p2-usage-of-open} is a property that does not necessarily hold when \verb|SIMPLE-NAT| denotes loose models. With this proviso, structural induction is certainly a useful technique, and you are often powerless without it. Let us show a couple of examples. For the sake of variety, we use the predicate ``\verb|_==_|'' here. The following sequence proves associativity of ``\verb|_+_|''. \begin{vvtm} \begin{ccode} ** proving associativity of _+_ open SIMPLE-NAT ops a b c : -> Nat . reduce 0 + (a + b) == (0 + a) + b . eq (a + b) + c = a + (b + c) . ** hypothesis reduce s(a) + (b + c) = (s(a) + b) + c . close \end{ccode} \end{vvtm} The session goes as follows. \begin{vvtm} \begin{ccode} CafeOBJ> open SIMPLE-NAT -- opening module SIMPLE-NAT_.* done. %SIMPLE-NAT> ops a b c : -> Nat . %SIMPLE-NAT> reduce 0 + (a + b) == (0 + a) + b . _* -- reduce in % : 0 + (a + b) == (0 + a) + b true : Bool (0.000 sec for parse, 3 rewrites(0.000 sec), 11 matches) %SIMPLE-NAT> eq (a + b) + c = a + (b + c) . %SIMPLE-NAT> reduce s(a) + (b + c) == (s(a) + b) + c . * -- reduce in % : s(a) + (b + c) == (s(a) + b) + c true : Bool (0.010 sec for parse, 5 rewrites(0.000 sec), 26 matches) %SIMPLE-NAT> close CafeOBJ> \end{ccode} \end{vvtm} Recall that when we gave a view for \verb|MONOID| (Section \ref{sec:p2-views-exs}), the associativity axiom remained to be proven. This obligation was discharged just now. Similarly, commutativity is proven by \begin{vvtm} \begin{ccode} ** proving commutativity of _+_ open SIMPLE-NAT ops a b : -> Nat . reduce 0 + 0 == 0 + 0 . eq b + 0 = 0 + b . ** (inner) hypothesis reduce s(b) + 0 == 0 + s(b) . eq a + X:Nat = X + a . ** (outer) hypothesis -- * reduce 0 + s(a) == s(a) + 0 . eq b + s(a) = s(a) + b . ** (inner) hypothesis reduce s(b) + s(a) == s(a) + s(b) . close \end{ccode} \end{vvtm} The proof relies on double induction. And in this proof, the ``direction'' of equations is crucial: in giving the equation marked ``\verb|*|'', if you exchanged the sides, the subsequent evaluations would produce \verb|false|. To get \verb|true|, you need reverse applications (by using \verb|apply|). \subsection{Nondeterministic Transitions}\label{sec:p2-proving-trans} Since the current implementation of evaluation mechanism is deterministic, it is impossible to prove transition relations by \verb|execute| command alone. In such a case, the transition predicate ``\verb|_==>_|'' is often useful. As explained in Section \ref{sec:p2-transition-pred}, ``\verb|_==>_|'' is supported by ``\verb|_=(*)=>_|'', which systematically checks transitions step by step. Recall \verb|CHOICE-NAT| (Section \ref{exs:choice-nat}), and let us prove a simple fact that \begin{quotation} If $t$ transits to $u$, $t|t'$ also transits to $u$, for any $t'$. \end{quotation} \begin{vvtm} \begin{ccode} CafeOBJ> open CHOICE-NAT -- opening module CHOICE-NAT.. done. %CHOICE-NAT> ops a b c : -> Nat . %CHOICE-NAT> trans a => c . _ %CHOICE-NAT> reduce a | b ==> c . -- reduce in % : a | b ==> c true : Bool (0.000 sec for parse, 6 rewrites(0.000 sec), 13 matches) %CHOICE-NAT> close CafeOBJ> \end{ccode} \end{vvtm} For another simple example, suppose you want to prove another simple fact that \begin{quotation} If $t$ transits to $u$, $t + t'$ transits to $u + t'$, for any $t'$. \end{quotation} \begin{vvtm} \begin{ccode} CafeOBJ> open CHOICE-NAT -- opening module CHOICE-NAT.. done. %CHOICE-NAT> ops a b c : -> Nat . %CHOICE-NAT> trans a => c . _ %CHOICE-NAT> reduce a + b ==> c + b . * -- reduce in % : a + b ==> c + b true : Bool (0.000 sec for parse, 4 rewrites(0.000 sec), 15 matches) %CHOICE-NAT> close CafeOBJ> \end{ccode} \end{vvtm} Note that, when using ``\verb|_==>_|'', evaluation should be by \verb|reduce| command, {\em not} by \verb|execute| cpmmand. Although ``\verb|_==>_|'' represents transition relations, the reasoning is within pure equational logic. There are a couple of switches that control the reduction procedure for ``\verb|_==>_|''. One is to get a trace. For illustration, you may rerun the first above session.\index{\texttt{exec}}\index{\texttt{trace}} \begin{vvtm} \begin{ccode} ... declaring a, b, c, and assert a => c as before %CHOICE-NAT> set exec trace on %CHOICE-NAT> reduce a | b ==> c . -- reduce in % : a | b ==> c ** transition step 1-1 ******* (): (a | b) =(1)=> a (): (a | b) =(1)=> b (1): (a | b) =(1)=> (c | b) ** transition step 2-1 ******* (): a =(2)=> c ** term : c matched to the pattern : c with the substitution : {} true : Bool (0.000 sec for parse, 6 rewrites(0.000 sec), 13 matches) %CHOICE-NAT> \end{ccode} \end{vvtm} There are three transitions from ``\verb+a | b+'', that is \begin{vvtm} \begin{ccode} trans N | N' => N . trans N | N' => N' . trans a => c . \end{ccode} \end{vvtm} respectively yielding \verb|a|, \verb|b|, and ``\verb+c | b+''. The first branch further transits to \verb|c|, which matches the given destination. %!!!!!!!!!!!!!!!!! % What is exec condition? %A second switch controls conditional transitions. For example, %\begin{vvtm} %\begin{ccode} % %CHOICE-NAT> %\end{ccode} %\end{vvtm} \subsection{Systematic Search for Transition Relations} \label{sec:p2-proving-trans-2} ``\verb|_=(*)=>_|'' can often be used directly. Continuing the example of \verb|CHOICE-NAT|, \begin{vvtm} \begin{ccode} CafeOBJ> select CHOICE-NAT CHOICE-NAT> reduce (0 | s(0)) | (s(s(0)) | (s(s(s(0))) | s(s(s(s(0)))))) =(*)=> s(s(s(0))). -- reduce in CHOICE-NAT : (0 | s(0)) | (s(s(0)) | (s(s(s(0))) | s( s(s(s(0)))))) = ( * ) => s(s(s(0))) true : Bool (0.010 sec for parse, 51 rewrites(0.020 sec), 51 matches) CHOICE-NAT> \end{ccode} \end{vvtm} This was a very easy case, since all the arguments to ``\verb+_|_+'' are are irreducible and only pure transition steps are involved. A more demanding case is \begin{vvtm} \begin{ccode} CHOICE-NAT> reduce (0 | s(0)) + ((s(s(0)) | (s(s(s(0))) + 0)) + s(s(s(s(0))))) =(*)=> s(s(0)) + (s(s(s(0))) + s(0)). -- reduce in CHOICE-NAT : (0 | s(0)) + ((s(s(0)) | (s(s(s(0))) + 0)) + s(s(s(s(0))))) = ( * ) => s(s(0)) + (s(s(s(0))) + s(0)) true : Bool (0.000 sec for parse, 35 rewrites(0.000 sec), 78 matches) CHOICE-NAT> \end{ccode} \end{vvtm} where the the system need to compute ``\verb|_+_|'' along the way. If the search space can be large, ``\verb|=(*)=>|'' is a dangerous weapon. In such cases, you may limit the search up to a realistic step, with the set of predicates ``\verb|=(n)=>|'' where \verb|n| is a natural number (in the usual decimal notation) and indicates how many transit steps to take. For example, \begin{vvtm} \begin{ccode} CHOICE-NAT> reduce (0 | s(0)) | (s(s(0)) | ((s(s(s(0))) + 0) | s(s(s(s(0)))))) =(1)=> s(s(s(0))). -- reduce in CHOICE-NAT : (0 | s(0)) | (s(s(0)) | ((s(s(s(0))) + 0) | s(s(s(s(0)))))) = ( 1 ) => s(s(s(0))) [Warning]: =(N)=> terminates, reaching preset maximum count of transitions. false : Bool (0.010 sec for parse, 13 rewrites(0.000 sec), 16 matches) CHOICE-NAT> \end{ccode} \end{vvtm} which is a correct result, since the first argument cannot transit to the second in one step. Another way to limit the search is by a switch.\index{\texttt{exec}} \index{\texttt{limit}} \begin{vvtm} \begin{ccode} CafeOBJ> set exec limit 40 \end{ccode} \end{vvtm} limits the maximal transition step to 40. The default limit is quite large. As the above sessions show, ``\verb|_=(*)=>_|'' and ``\verb|_==>_|'' take into account equations as well as transitions. In most cases and with appropriate evaluation strategies, ``\verb|_==>_|'' does give correct answers on transition relations. However, it is in general impossible always to obtain correct answers on transition relations between {\em equivalence classes} of terms. For example, consider a module \begin{vvtm} \begin{ccode} module M { [ S ] ops a b c d : -> S eq a = b . trans a => c . eq c = d . } \end{ccode} \end{vvtm} and a theorem \begin{vvtm} \begin{ccode} trans a => d . \end{ccode} \end{vvtm} The system does not evaluate the corresponding term to \verb|true|, as \begin{vvtm} \begin{ccode} M> reduce a ==> d . -- reduce in M : a ==> d > pre normalization : a == b -- no more possible transition for : a b ==> d : Bool (0.000 sec for parse, 4 rewrites(0.000 sec), 12 matches) M> \end{ccode} \end{vvtm} This is because the system reduces \verb|a| to an irreducible form (\verb|b|) before trying a systematic search. If it had tried a search before normalising, it would have proved the theorem. There is a switch that tells the system to forget about normalisation. \begin{vvtm} \begin{ccode} M> set exec normalize on M>> reduce a ==> d . -- reduce in M : a ==> d ** transition step 1-1 ******* (): a =(1)=> c < post nomalization : c == d ** term : d matched to the pattern : d with the substitution : {} true : Bool (0.000 sec for parse, 4 rewrites(0.010 sec), 6 matches) M> \end{ccode} \end{vvtm} The result was satisfactory. This switch is hopeless if interleaving applications of equations and transitions are necessary. In \begin{vvtm} \begin{ccode} module M' { [ S ] ops a b c d e : -> S eq [e1] a = b . eq [e2] b = c . trans [t] b => d . eq [e3] d = e . } \end{ccode} \end{vvtm} to prove \begin{vvtm} \begin{ccode} trans a => e . \end{ccode} \end{vvtm} you have to use \verb|e1|, and only that. \subsection{Behavioural Equivalence}\label{sec:p2-proving-beh-eq} Recall \verb|COUNTER| (Section \ref{exs:counter}) and let us prove a behavioural equation \begin{vvtm} \begin{ccode} beq add(N:Nat, add(N':Nat, C:Counter)) = add(N', add(N, C)) . \end{ccode} \end{vvtm} As explained, this equation holds iff two terms act identically on every observation. This theorem may be proved by induction on the length of observations (called {\em context induction}\index{context indution}). Since \verb|add|, \verb|read| are the only ``method'' and ``attribute'' respectively, every observation is an application of \verb|read| after a finite number of applications of \verb|add|. A necessary command sequence is as follows. Since the proof uses associativity and commutativity of ``\verb|_+_|'' on \verb|Nat|, which were proven in Section \ref{sec:p2-proof-by-induction}, they are stated as equations. \begin{vvtm} \begin{ccode} open COUNTER ops m n p : -> Nat . op c : -> Counter . op addn : Counter -> Counter . eq m + n = n + m . eq N:Nat + (M:Nat + P:Nat) = (N + M) + P . reduce read(add(m, add(n, c))) == read(add(n, add(m, c))) . eq read(addn(add(m, add(n, c)))) = read(addn(add(n, add(m, c)))) . reduce read(add(p, addn(add(m, add(n, c))))) == read(add(p, addn(add(n, add(m, c))))) . close \end{ccode} \end{vvtm} Alternatively, you may use ``\verb|_=*=_|'' (Section \ref{sec:p2-beh-equiv-pred}) and get a proof by {\em coinduction}\index{coinduction}. \begin{vvtm} \begin{ccode} CafeOBJ> open COUNTER -- opening module COUNTER_.*done. %COUNTER> ops m n : -> Nat . %COUNTER> op c : -> Counter . %COUNTER> eq m + n = n + m . _ %COUNTER> eq N:Nat + (M:Nat + P:Nat) = (N + M) + P . %COUNTER> reduce add(m, add(n, c)) =*= add(n, add(m, c)) . * -- reduce in % : add(m,add(n,c)) =*= add(n,add(m,c)) true : Bool (0.000 sec for parse, 9 rewrites(0.000 sec), 37 matches) %COUNTER> close CafeOBJ> \end{ccode} \end{vvtm} The reduction went as desired, since the system automatically added an equation \begin{vvtm} \begin{ccode} eq hs1:Counter =*= hs2:Counter = read(hs1:Counter) == read(hs2:Counter) . \end{ccode} \end{vvtm} once ``\verb|_=*=_|'' was shown to be a congruence (Section \ref{sec:p2-hsort-beget-axs}). As an aside, you may wonder why two axioms are given in these forms: commutativity is stated with constants, while associativity is with variables. The reason is that a straightforward statement of commutativity \begin{vvtm} \begin{ccode} eq M:Nat + N:Nat = N + M . \end{ccode} \end{vvtm} engenders infinite rewrite sequences. The trick here is to give an axiom that restricts the matching power of the system so that, only in the special instances when you need for this special proof, the axiom is usable as a rewrite rule. \subsection{Behavioural Transition}\label{sec:p2-proving-beh-trans} To illustrate proofs on behavioural transitions, we define counters of wobbly numbers.\label{exs:w-counter} \begin{vvtm} \begin{ccode} module W-COUNTER { protecting (CHOICE-NAT) *[ Counter ]* bop read : Counter -> Nat bop add : Nat Counter -> Counter eq read(add(N:Nat, C:Counter)) = N + read(C) . } \end{ccode} \end{vvtm} The structure is the same as \verb|COUNTER|, and the difference is in the imported \verb|CHOICE-NAT|. We would like to prove a behavioural transition relation \begin{vvtm} \begin{ccode} btrans add(M:Nat | N:Nat, C:Counter) => add(N, C) . \end{ccode} \end{vvtm} An element of hidden sort behaviourally transits to another iff every observation of the former transits to the same observation of the latter. This definition leads to a proof by context induction, as in the previous section. The session goes as follows. \begin{vvtm} \begin{ccode} CafeOBJ> open W-COUNTER -- opening module W-COUNTER_.*done. %W-COUNTER> ops m n p : -> Nat . %W-COUNTER> op c : -> Counter . %W-COUNTER> op addn : Counter -> Counter . %W-COUNTER> reduce read(add(m | n, c)) ==> read(add(m, c)) . _* -- reduce in % : read(add(m | n,c)) ==> read(add(m,c)) true : Bool (0.010 sec for parse, 6 rewrites(0.010 sec), 32 matches) %W-COUNTER> trans read(addn(add(m | n, c))) => read(addn(add(m, c))) . %W-COUNTER> reduce read(add(p, addn(add(m | n, c)))) ==> read(add(p, addn(add(m, c)))) . * -- reduce in % : read(add(p,addn(add(m | n,c)))) ==> read(add(p,addn( add(m,c)))) true : Bool (0.000 sec for parse, 4 rewrites(0.000 sec), 11 matches) %W-COUNTER> close CafeOBJ> \end{ccode} \end{vvtm} The command sequence is quite similar to the one in the previous section. Or, relying on ``\verb|=*=|'', you may be rest assured by just one reduction \begin{vvtm} \begin{ccode} %W-COUNTER> reduce read(add(m | n, c)) ==> read(add(m, c)) . \end{ccode} \end{vvtm} which, by itself, is a proof by coinduction. A difference from the case of behavioural equivalence is that the system does not suppy an axiom like \begin{vvtm} \begin{ccode} eq hs1:Counter =*= hs2:Counter = read(hs1:Counter) == read(hs2:Counter) . \end{ccode} \end{vvtm} so you have to be satisfied by handfeed reduction commands for each ``attribute''. %\subsection{Congruences for Coinduction}\label{sec:p2-congruence-def} % %Since the predicate ``\verb|=*=|'' is not omnipotent, you may want to %define your own congruences on hidden sorts. Consider a parametric module %\verb|STREAM|. %\begin{vvtm} %\begin{ccode} % module* STREAM (X :: ONE) { % *[ Stream ]* % bop head : Stream -> Elt % bop tail : Stream -> Stream % op merge : Stream Stream -> Stream % vars S S' : Stream % eq head(merge(S,S')) = head(S) . % beq tail(merge(S,S')) = merge(S',tail(S)) . % } %\end{ccode} %\end{vvtm} \chapter{Built-in Modules}\label{sec:p2-builtin-module} You may define any data types in \cafeobj, so in principle the need for built-in data types does not arise. So is the principle, but considerations about convenience and tolerable performance dictate otherwise. Some frequently used data types are defined in {\em built-in module}s. \index{built-in module} In addition, the system relies on a couple of {\em kernel module}s,\index{kernel module} which are located near its jugular. A few commands, such \verb|reset| (Section \ref{sec:p2-startup}) are closely related to these modules. Listed below are the kernels and built-ins. (As explained in Section \ref{sec:p2-init-opt}, you may supply your own built-ins, or even override the standard built-ins.) \begin{itemize} \item[] \textbf{ Systems}. Some modules are vital to the behaviour of the system. Unless you are ready to help us tune the system, they need not concern you. \item[] \textbf{ Booleans}. The module \verb|BOOL| and the sort \verb|Bool| have appeared frequently. Actually, \verb|Bool| is declared in a submodule imported by \verb|BOOL|. And \verb|RWL| is a module that declares transition predicate ``\verb|_==>_|''. \item[] \textbf{ Numbers}. The system supports usual arithmetics within a usual number system. The modules involved are \verb|NAT|, \verb|INT|, \verb|RAT| and \verb|FLOAT|. \item[] \textbf{ Strings}. \verb|QID| (quoted identifier), \verb|CHARACTER|, \verb|STRING| define operations on characters and strings. \item[] \textbf{ Pairs}. A simple pair, triple, and quadruple are defined in \verb|2TUPLE|, \verb|3TUPLE|, and \verb|4TUPLE|. \item[] \textbf{ Miscellaneous}. For historical reasons, \verb|PROPC| (Section \ref{exs:propc}), \verb|TRIV| (Section \ref{exs:triv}) are built-in modules. \end{itemize} There are also a set of library modules and examples in the distribution package. \begin{warning} Elements in built-in sorts are defined as corresponding Lisp objects, and the system may compute them by stealth. For example, an expression \verb|2.1e1| is an element of \verb|Float|, and is {\em identified} with \verb|21.0|; \verb|2/1| is an element of \verb|Rat|, and is identified with \verb|2|. \end{warning} \begin{warning} The built-ins and their definitions may change. \end{warning} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \appendix \chapter{Summary of \cafeobj~~syntax} Here is a brief summary of lexical conventions and syntactic definitions used in \cafeobj~codes and commands. \section{Lexical Analysis} \label{sec:lex} On the lexical surface a \cafeobj~code is a sequence of tokens and separators. A {\em token} is a sequence of printable ASCII characters (octal 40 through 176)\footnote{The current system accepts Unicode characters also, but this is beyond the definition of the language.}, and is classified as either a self-terminating character, an identifier, or an operator symbol. Each class is explained below. A {\em separator} is a blank character --- space, vertical tab, horizontal tab, carriage return, newline, or from feed. On the one hand, any mumber of separators may appear between tokens. On the other hand, one or more separators must appear between any two adjacent non-self-terminating tokens\footnote{The same rule applies to terms. Further, if an operator symbol contains blanks or self-terminating characters, it is sometimes neccessary to enclose a term with such operator as top by parentheses for disambiguation.}. \subsection{Reserved Words} \label{sec:keywords} There is {\em no} reserved word. One can use such keywords such as \sym{module}, \sym{op}, \sym{var}, or \sym{signature}, etc. for identifiers or operator symbols. \subsection{Self-Terminating Characters} \label{sec:lex-selfterminating} A self-terminating character is a printable ASCII character which by itself constitutes a token. There are seven such characters. \begin{center} \begin{minipage}{0.5\textwidth} \begin{snugshade} \begin{tabular}{lllllll} \verb|(| & \verb|)| & \verb|,| & \verb|[| & \verb|]| & \verb|{| & \verb|}| \end{tabular} \end{snugshade} \end{minipage} \end{center} %% \subsection{Identifiers} \label{sec:lex-identifier} An \textit{ident} (identifier) is a sequence of any printable ASCII characters other than \begin{center} \begin{minipage}{0.5\textwidth} \begin{snugshade} \begin{tabular}{l} self-terminating characters \\ \verb|.| (period) \\ \verb|"| (double quote) \\ \end{tabular} \end{snugshade} \end{minipage} \end{center} The \cafeobj~reader is case-sensitive, and \verb|Nat| and \verb|nat| are different identifiers. \textit{ident}s appear as module names, view names, parameter names, sort names, variables names, slot names, and labels. \subsection{Operator Symbols} \label{sec:opsymbol} An \nonterm{operator\_symbol} is a sequence of any ASCII characters, including non-printables, except EOT (control-D). An underbar has a special meaning in an operator symbol. It reserves the place where an argument is inserted. A single underbar \verb|_| cannot be an operator symbol. \subsection{Comments} \label{sec:lex-comments} A \nonterm{comment} is a sequence of characters which begins with one of the following four character sequences \begin{center} \begin{minipage}{0.5\textwidth} \begin{snugshade} \begin{tabular}{ll} "\verb|--|" & "\verb|-->|" \\ "\verb|**|" & "\verb|**>|" \end{tabular} \end{snugshade} \end{minipage} \end{center} and that ends with a newline character. In between, a comment may contain only printable ASCII characters and horizontal tabs. Comments may act as separators, but their appearance is restricted (See the next section). \newpage \section{\cafeobj~ Syntax} \label{sec:cafeobj-syntax} We use an extended BNF grammar to define the syntax. The general form of a production is \begin{vvtm} \begin{syntax} \synindent\synindent nonterminal &::=& alternative \alt alternative \alt \cdots \alt alternative \end{syntax} \end{vvtm} The following extensions are used: \begin{center} \begin{fminipage}{0.7\textwidth} \begin{tabular}{ll} $\alpha$ $\cdots$ & a list of one or more $\alpha$s. \\ $\alpha$, $\cdots$ & a list of one or more $\alpha$s separated by commas: \\ & ``$\alpha$'' or ``$\alpha$, $\alpha$'' or ``$\alpha$, $\alpha$, $\alpha$'', etc. \\ $\seqof{\alpha}$ & \textbf{\{} and \textbf{\}} are meta-syntactical brackets \\ & treating $\alpha$ as one syntactic category. \\ $\optn{\alpha}$ & an optional $\alpha$: `` '' or ``$\alpha$''. \end{tabular} \end{fminipage} \end{center} Nonterminal symbols appear in \textit{italic face}. Terminal symbols appear in the face like this: ``\sym{terminal}'', and may be surrounded by `` and '' for emphasis or to avoid confusion with meta characters used in the extended BNF. We will refer terminal symbols other than self-terminating characters (see section ~\ref{sec:lex-selfterminating}) as \textit{keyword}s in this document. \subsection{\cafeobj~Codes} A \cafeobj~code is a sequence of modules, views, and evaluation commands. \begin{vvtm} \begin{syntax} \synindent\synindent spec &::=& \seqof{module \alt view \alt eval} \cdots \end{syntax} \end{vvtm} %%% \newpage \subsection{Modules} \label{sec:syntax-module} where a \nonterm{module} is \begin{vvtm} \begin{syntax} module &::=& module\_type\; module\_name \; \optn{parameters} \; \optn{principal\_sort} \\ && \sym{``\{''}\; module\_elt\cdots \; \sym{``\}''} \\ \synindent module\_type &::=& \sym{module} \alt \sym{module!} \alt \sym{module*}\\ \synindent module\_name &::=& ident % &\footnote{The nonterminal \textit{ident} is for identifiers and % will be defined in the section ~\ref{sec:identifier}.} \\ parameters &::=& \sym{``(''}\; parameter, \cdots \sym{``)''}\\ \synindent parameter &::=& \optn{\sym{protecting}\alt\sym{extending}\alt\sym{including}}\; paramter\_name \; \sym{::}\; module\_expr %& \footnote{\textit{module\_expr} is defined in % the section ~\ref{sec:modexpr}.}\footnote{If optional % $\optn{\sym{protecting}\alt\sym{extending}\alt\sym{including}}$ is omitted, it is % defaulted to \sym{protecting}.} \\ \synindent parameter\_name &::=& ident \\ principal\_sort &::=& \sym{principal-sort}\; sort\_name \\ % module\_elt &::=& import \alt sort \alt record \alt operator \alt module\_elt &::=& import \alt sort \alt operator \alt % module\_elt &::=& import \alt sort \alt operator \alt variable \alt axiom \alt comment % &\footnote{\nonterm{comment} is % descussed in section ~\ref{sec:comments}.} \\ import &::=& \seqof{\sym{protecting}\alt\sym{extending}\alt\sym{including}\alt\sym{using}} \sym{``(''}\;module\_expr\;\sym{``)''}\\ sort & ::= & visible\_sort \alt hidden\_sort \\ \synindent visible\_sort & ::=& \sym{``[''}\; sort\_decl, \cdots \; \sym{``]''} \\ \synindent hidden\_sort & ::=& \sym{``*[''}\; sort\_decl, \cdots \; \sym{``]*''} \\ \synindent sort\_decl &::=& sort\_name\; \cdots\; \optn{supersorts\; \cdots} \\ \synindent supersorts &::=& <\; sort\_name\; \cdots \\ \synindent sort\_name &::=& sort\_symbol\optn{qualifier} % & \footnote{There must not be any separators (see section % ~\ref{sec:lex}) between \nonterm{ident} and \nonterm{qualifier}.} \\ \synindent sort\_symbol &::=& ident \\ \synindent qualifier &::=& \sym{``.''}module\_expr\optn{qualifier}\\ %% record &::=& \sym{record}\; sort\_name\; \optn{super\;\cdots}\; %% \sym{``\{''}\; \seqof{slot \alt comment}\cdots \; \sym{``\}''} \\ %% \synindent super &::=& %% \sym{``[''}\;sort\_name\;\optn{\sym{``(''}\; slot\_rename,\cdots %% \sym{``)''}}\;\sym{``]''} \\ %% \synindent slot &::=& slot\_name : sort\_name \alt %% slot\_name\;\sym{=}\;\sym{``(''}term\sym{``)''}\;:\; sort\_name \\ %% \synindent slot\_name &::=& ident \\ %% \synindent slot\_rename &::=& slot\_name\; \verb|->|\; slot\_name\\ operator &::=& \seqof{\sym{op}\alt\sym{bop}} \; operator\_symbol\; : \; \optn{arity}\; \verb|->|\; coarity \; \optn{op\_attrs} % &\footnote{\nonterm{operator\_symbol} is defined in section % ~\ref{sec:opsymbol}.} \\ \synindent arity &::=& sort\_name \cdots \\ \synindent coarity &::=& sort\_name \\ \synindent op\_attrs &::=& \sym{``\{''}\;op\_attr\cdots\;\sym{``\}''} \\ \synindent op\_attr &::=& \sym{constr} \alt \sym{associative} \alt \sym{commutative} \alt\sym{idempotent} \alt \seqof{\sym{id:} \alt \sym{idr:}} \sym{``(''} \; term\; \sym{``)''} %&\footnote{The general syntax of \nonterm{term} is defined in section % ~\ref{sec:term}.} \\ &\alt & \sym{strat: ``(''}\; natural \cdots\; \sym''{)''} \alt\sym{prec:}\; natural \alt \sym{l-assoc} \alt \sym{r-assoc} \alt \sym{coherent} % &\footnote{\nonterm{natural} is a natural number written in ordinal % arabic notation.} \\ variable &::=& \sym{var}\; var\_name\; :\; sort\_name \alt \sym{vars} \; var\_name\cdots\; :\; sort\_name \\ \synindent var\_name &::=& ident \\ axiom &::=& equation \alt cequation\alt transition \alt ctransition \\ \synindent equation &::=& \seqof{\sym{eq} \alt \sym{beq}}\; \optn{label}\; term \; \sym{=} \; term\; \sym{``.''}\\ \synindent cequation &::=& \seqof{\sym{ceq} \alt \sym{bceq}}\; \optn{label}\; term \; \sym{=} \; term\; \sym{if}\; term\;\sym{``.''} \\ \synindent transition &::=& \seqof{\sym{trans} \alt \sym{btrans}}\; \optn{label}\; term \; \verb|=>| \; term \;\sym{``.''}\\ \synindent ctransition &::=& \seqof{\sym{ctrans} \alt \sym{bctrans}}\; \optn{label}\; term \; \verb|=>| \; term\; \sym{if}\; term\;\sym{``.''}\\ \synindent label &::=& \sym{``[''}\; ident\; \sym{``]:''} \end{syntax} \end{vvtm} %% \newpage \subsection{Module Expression} \label{sec:modexpr} A \nonterm{module\_expr} is \begin{vvtm} \begin{syntax} module\_expr &::=& module\_name \alt sum \alt rename \alt instantiation \alt \sym{``(''} module\_expr \sym{``)''} \\ sum &::=& module\_expr\; \seqof{+\;\; module\_expr} \cdots \\ rename &::=& module\_expr\;\sym{*}\;\sym{``\{''} rename\_map,\cdots \sym{``\}''} \\ % instantiation &::=& module\_expr\;\sym{``(''} % \seqof{ident \optn{qualifier}\;\verb|<=|\;aview},\cdots % \sym{``)''} instantiation &::=& module\_expr\;\sym{``(''}\textbf{\{}\;ident [ qualifier ]\; \verb|<=|\; aview\textbf{\}},\;\cdots\;\sym{``)''} \\ rename\_map &::=& sort\_map \alt op\_map \\ sort\_map &::=& \seqof{\sym{sort} \alt \sym{hsort}}\; sort\_name \; \verb|->|\; ident \\ op\_map &::=& \seqof{\sym{op} \alt \sym{bop}}\; op\_name\;\verb|->|\;operaotr\_symbol \\ op\_name &::=& operator\_symbol\alt \sym{``(''}operator\_symbol\sym{``)''}qualifier\\ aview &::=& view\_name\alt module\_expr\\ & \alt & \sym{view to}\; module\_expr\;\sym{``\{''} view\_elt,\cdots \sym{``\}''} \\ view\_name &::=& ident \\ view\_elt &::=& sort\_map \alt op\_view \alt variable \\ op\_view &::=& op\_map \alt term\; \verb|->|\; term \end{syntax} \end{vvtm} When a module expression is not fully parenthesized, the proper nesting of subexpressions may be ambiguous. The following precedence rule is used to resolve such ambiguity: \[ \nonterm{sum} < \nonterm{rename} < \nonterm{instantiation} \] \subsection{Views} \label{sec:syntax-view} and a \nonterm{view} is \begin{vvtm} \begin{syntax} view &::=& \sym{view}\; view\_name\; \sym{from}\; module\_expr\; \sym{to} \; module\_expr \\ && \sym{``\{''}\; view\_elt, \cdots \; \sym{``\}''} \\ \end{syntax} \end{vvtm} \subsection{Evaluation Commands} \label{sec:syntax-eval} and an \nonterm{eval} is \begin{vvtm} \begin{syntax} eval & ::= & \seqof{\sym{reduce}\alt\sym{behavioural-reduce} \alt\sym{execute}}\; context\; term\; \sym{``.''} \\ context & ::=& \sym{in}\; module\_expr\;\sym{:} \end{syntax} \end{vvtm} The interpreter has a notion of \textit{current module} which is specified by a \nonterm{module\_expr} and establishes a context. If it is set, \nonterm{context} can be omitted. \subsection{Terms} \label{sec:syntax-term} A \nonterm{term} is a sequence of any ASCII characters except EOT. \subsection{Sugars and Abbreviations} \label{sec:syntax-abbrev} \paragraph{Module type} There are following abbreviations for \nonterm{module\_type}. \begin{center} \begin{minipage}{0.3\textwidth} % \begin{vvtm} \begin{tabular}{ll}\hline Keyword & Abbriviation \\\hline \sym{module} & \sym{mod}\\ \sym{module!} & \sym{mod!} \\ \sym{module*} & \sym{mod*}\\\hline \end{tabular} % \end{vvtm} \end{minipage} \end{center} %%% \paragraph{Module Declaration} \nonterm{make} is a short hand for declaring module of name \nonterm{module\_name} which imports \nonterm{module\_expr} with protecting mode. \begin{vvtm} \begin{syntax} make &::=& \sym{make}\;module\_name\;\sym{``(''}\; module\_expr\;\sym{``)''} \end{syntax} \end{vvtm} \begin{ccode} make FOO (BAR * {sort Bar -> Foo}) \end{ccode} is equivalent to \begin{ccode} module FOO { protecting (BAR * {sort Bar -> Foo}) } \end{ccode} \paragraph{Principal Sort} \sym{principal-sort} can be abbriviated to \sym{psort}. \paragraph{Import Mode} For import modes, the following abbriviations can be used: \begin{center} \begin{minipage}{0.31\textwidth} % \begin{vvtm} \begin{tabular}{ll}\hline Keyword & Abbriviation \\\hline \sym{protecting} & \sym{pr} \\ \sym{extending} & \sym{ex} \\ \sym{including} & \sym{inc} \\ \sym{using} & \sym{us} \\\hline \end{tabular} % \end{vvtm} \end{minipage} \end{center} \paragraph{Simultaneous Operator Declaration} Several operators with the same arity, coarity and operator attributes can be declared at once by \sym{ops}. The form \begin{vvtm} \begin{syntax} \sym{ops}\; operator\_symbol_1 \cdots operator\_symbol_n\; :\; arity\; \verb|->|\; coarity\; op\_attrs \end{syntax} \end{vvtm} is just equivalent to the following multiple operator declarations: \begin{vvtm} \begin{syntax} \sym{op}\; & operator\_symbol_1\;:\;arity\;\verb|->|\;coarity\;op\_attrs \\ &\vdots\\ \sym{op}\; & operator\_symbol_n\;:\;arity\;\verb|->|\;coarity\;op\_attrs \end{syntax} \end{vvtm} \sym{bops} is the counterpart of \sym{ops} for behavioural operators. \begin{vvtm} \begin{syntax} \sym{bops}\; operator\_symbol\;\cdots\; : \; arity\;\verb|->|\; coarity \; op\_attrs \end{syntax} \end{vvtm} and the effect is the same as many \nonterm{operator\/}s as there are \nonterm{operator\_symbols\/}s. In simultaneous declarations, parentheses are sometimes necessary to separate operator symbols. This is always required if an operator symbol contains dots, blank characters or underscores. \paragraph{Predicate} A \nonterm{predicate} is a syntactic sugar for operator declarations with arity \verb|Bool|, and is defined as \begin{vvtm} \begin{syntax} predicate &::=& \sym{pred}\;operator\_symbol\;:\;arity\;\optn{op\_attrs} % &\footnote{You cannot use \nonterm{sort\_name} of the same % character sequence as that of any keywords, i.e., \sym{module}, % \sym{op}, \sym{vars}, etc. in \nonterm{arity}.} \end{syntax} \end{vvtm} The form \begin{vvtm} \begin{syntax} \sym{pred}\;operator\_symbol\;:\;arity\;op\_attrs \end{syntax} \end{vvtm} is equivalent to: \begin{vvtm} \begin{syntax} \sym{op}\;operator\_symbol\;:\;arity\;\verb|->|\; \sym{Bool} \;op\_attrs \end{syntax} \end{vvtm} \paragraph{Operator Attributes} The following abbriviations are available: \begin{center} \begin{tabular}{ll}\hline Keyword & Abbriviation \\\hline \sym{associative} & \sym{assoc} \\ \sym{commutative} & \sym{comm} \\ \sym{idempotent} & \sym{idem} \\\hline \end{tabular} \end{center} \paragraph{Axioms} For the keywords introducing axioms, the following abbriviations can be used: \begin{center} \begin{tabular}{ll|ll}\hline Keyword & Abbriviation & Keyword & Abbriviation \\\hline \sym{ceq} & \sym{cq} & \sym{bceq} & \sym{bcq} \\ \sym{trans} & \sym{trns} & \sym{ctrans} & \sym{ctrns} \\ \sym{btrans} & \sym{btrns} & \sym{bctrans} & \sym{bctrns} \\\hline \end{tabular} \end{center} \paragraph{Blocks of Declarations} Importationss, signature definitions and axioms can be clusterd in blocks \nonterm{imports}, \nonterm{signature}, and \nonterm{axioms} respectively. \begin{vvtm} \begin{syntax} imports &::=& \sym{imports}\;\sym{``\{''}\\ &&\synindent\seqof{import \alt comment}\cdots\\ &&\sym{``\}''}\\ signature &::=& \sym{signature}\;\sym{``\{''}\\ % &&\synindent\seqof{sort \alt record \alt operator \alt &&\synindent\seqof{sort \alt operator \alt comment}\cdots\\ &&\sym{``\}''}\\ axioms &::=& \sym{axioms}\;\sym{``\{''}\\ &&\synindent\seqof{variable \alt axiom\alt comment}\cdots\\ &&\sym{``\}''} \end{syntax} \end{vvtm} \paragraph{Views} It is possible to identify parameters by positions, not by names. For example, if a parametric module is declared as \begin{ccode} module! FOO (A1 :: TH1, A2 :: TH2) { ... } \end{ccode} the form \begin{ccode} FOO(V1, V2) \end{ccode} is equivalent to \begin{ccode} FOO(A1 <= V1, A2 <= V2) \end{ccode} Moreover, \sym{view to} construct in arguments of module instantiations can always be omitted. So, \begin{example} \kbd{FOO(A1} \verb|<=| \sym{view to} \nonterm{module\_expr}\{...\}\kbd{)} \end{example} can be written as \begin{example} \kbd{FOO(A1} \verb|<=| \nonterm{module\_expr}\{...\}\kbd{)} \end{example} \paragraph{Evaluation} For \nonterm{eval}, the following abbriviations are available: \begin{center} \begin{tabular}{ll}\hline Keyword & Abbriviation \\\hline \sym{reduce} & \sym{red} \\ \sym{bereduce} & \sym{bred} \\ \sym{execute} & \sym{exec} \\\hline \end{tabular} \end{center} %%%%%%%%%%%%%%%%%%%%%%%% \clearpage \chapter{Command Summary}\label{sec:ref-cafeobj-cmds} Following is the top level commands that do not constitute \cafeobj~codes. \textit{} \begin{tabular}{r c l} command &::=& show $|$ describe $|$ set $|$ input $|$ check $|$ regularise $|$ save $|$ restore $|$ save\_system \\ &$|$& protect $|$ unprotect $|$ clean\_memo $|$ reset $|$ full\_reset $|$ parse $|$ lisp\_call $|$ select $|$ open \\ &$|$& close $|$ start $|$ apply $|$ match $|$ choose $|$ find $|$ provide $|$ require $|$ autoload \\ &$|$& eof $|$ prompt $|$ quit $|$ cd $|$ ls $|$ pwd $|$ help $|$ shell\_call $|$ dribble $|$ period $|$ compile \\ \\ show &::=& \verb|show| $\{$ help $|$ module\_contents $|$ switches $\}$ \\ describe &::=& \verb|describe| $\{$ help $\}$ $|$ module\_contents $\}$ \\ set &::=& \verb|set| $\{$ set\_help $|$ set\_switch $|$ set\_other $\}$ \\ input &::=& \verb|input| file\_name \\ protect &::=& \verb|protect| module\_name \\ unprotect &::=& \verb|unprotect| module\_name \\ full\_reset &::=& \verb|full-reset| $|$ $\{$ \verb|full| \verb|reset| $\}$ \\ open &::=& \verb|open| module\_expression \\ close &::=& \verb|close| \\ start &::=& \verb|start| term ``\verb|.|'' \\ parse &::=& \verb|parse| $[$ context $]$ term ``\verb|.|'' \\ cd &::=& \verb|cd| file\_name \\ quit &::=& \verb|quit| \\ period &::=& ``\verb|.|'' \\ shell\_call &::=& ``\verb|!|'' shell\_command \\ provide &::=& \verb|provide| feature \\ require &::=& \verb|require| feature $[$ file\_name $]$ \\ ls &::=& \verb|ls| file\_name \\ compile &::=& \verb|tram| \verb|compile| $[$ compile\_option $]$ module\_expression \\ compile\_option &::=& \verb|-exec| \\ eof &::=& \verb|eof| \\ save &::=& \verb|save| file\_name \\ restore &::=& \verb|restore| file\_name \\ clean\_memo &::=& \verb|clean| \verb|memo| \\ dribble &::=& \verb|dribble| file\_name \\ select &::=& \verb|select| module\_expresion \\ lisp\_call &::=& $\{$ \verb|lisp| $|$ \verb|lispq| $\}$ S\_expression \\ help &::=& ``\verb|?|'' \\ autoload &::=& \verb|autoload| proc\_name \\ find &::=& \verb|find| $\{$ \verb|rule| $|$ \verb|+rule| $|$ \verb|-rule| $\}$ \\ match &::=& \verb|match| term\_specifier \verb|to| match\_pattern ``\verb|.|'' \\ term\_specifier &::=& \verb|top| $|$ \verb|term| $|$ \verb|it| $|$ subterm $|$ ``\verb|(|'' term ``\verb|)|'' \\ match\_pattern &::=& $\{$ $[$ \verb|all| $]$ $\{$ \verb|rules| $|$ \verb|+rules| $|$ \verb|-rules| $\}$ $\}$ \\ &$|$& term \\ apply &::=& \verb|apply| action $[$ substitution $]$ range selection \\ select &::=& \\ check &::=& \\ regularise &::=& \verb|regularize| module\_name \\ \end{tabular} \textrm{} %\appendix %\chapter{A Brief Guide to Basic Notions and Terminology} %\section{Algebra}\label{sec:app-algebra} % %An algebra is a system of sets and operators thereon, usually written as a %list $(S_1, \ldots, S_n, f_1, \ldots, f_m)$. Typical examples are %a monoid $(M,e,*)$ and a vector space $(V,\cdot)$ over a field $F$. % %When there is only one underlying set, %the rank of an operator is just a natural number that indicates the number %of arguments. %For example, in the above monoid, $e$ has rank zero and $*$ has rank $2$. %If more than one sets are involved, the rank has to be described more %carefully. In general the rank of an operator is written as %$f_1 : S_1 \times \ldots \times S_l \to S$ where $S_i$ is the $i$-th %projection of the domain, and $S$ is the codomain. % %The operators of an algebra are often characterised by %a equational theory. In the case of the above monoid, $e$ and $*$ are %characterised by three ``law''s %\begin{quotation} %$\forall x,y,z[x * (y * z) = (x * y) * z]$ \\ %$\forall x[x * e = x]$ \\ %$\forall x[e * x = x]$ %\end{quotation} %where the variables are understood to range over $M$. In case of %the above vector space, $\cdot : F \times V \to V$ is characterised %by %\begin{quotation} %$\forall x \in F,v,w \in V[x \cdot (v + w) = x \cdot v + x \cdot w]$ \\ %$\forall x,y \in F,v \in V[(x + y) \cdot v = x \cdot v + y \cdot v]$ \\ %$\forall x,y \in F,v \in V[(xy)\cdot v = x \cdot (y \cdot v)]$ \\ %$\forall v \in V[1 \cdot v = 1]$ \\ %\end{quotation} %where $+$ etc. are operators of the underyling field $F$ or group $V$. % %Some operator is not total. For example, the inverse $\_^{-1}$ of %a field is undefined on the additive neutral $0$. Hence %the characterisation of an operator requires a statement on which elements %of the domain it is defined on. % %A graph is an algebra $(V,E,s,t)$, where %$s$, $t$ have the same rank $E \to V$ with no characteristic equations. %You may enrich the algebra with the set of paths $P$ and the composition %$\circ : P P -> P$ and the extensions to $s$, $t$ to $P$, characterised %by %\begin{quotation} %$\forall e \in E[e \in P]$ \\ %For all $p,q \in P$, $p \circ q$ is defined iff $sp = tq$ \\ %$\forall p,q \in P[s(p \circ q) = sq]$ (if defined) \\ %$\forall p,q \in P[t(p \circ q) = tp]$ (if defined) %\end{quotation} % %\section{Category}\label{sec:app-category} % %A category is an algebra $(Obj,Arr,dom,cod,id,\circ)$ where %$(Obj,Arr,dom,cod)$ is a graph. % %A functor from a category $(Obj,Arr,dom,cod,id,\circ)$ to another %$(Obj',Arr',dom',cod',id',\circ')$ is a pair of functions. % %A natural transformation from a functor to another is %a function. % %\section{Institution}\label{sec:app-institution} % %An institution is a triple $(S,M,\models)$. % %\section{Coinduction}\label{sec:app-coinduction} % %A coinduction is a proof technique that uses bisimulation. \begin{thebibliography}{?-} \bibitem{trs-handbook} Dershowitz,~N. and Jouannaud,~J.-P., ``Rewrite Systems'', \textit{Handbook of Theoretical Computer Science, Vol.B: Formal Models and Semantics}, The MIT Press/Elsevier Science Publishers, 1990, pp.245--320 \bibitem{razvan96-1} Diaconescu,~R. and Futatsugi,~K., \textit{Logical Semantics of CafeOBJ}, Technical Report IS-RR-96-0024S, Japan Advanced Institute for Science and Teleology, 1996 \bibitem{cafeobj-rep} Diaconescu,~R. and Futatsugi,~K., \textit{CafeOBJ Report}, World Scientific, 1998 \bibitem{e-m85} Ehrig,~H. and Mahr,~B., \textit{Fundamentals of Algebraic Specifications 1: Equations and Initial Semantics}, Springer-Verlag, 1985 \bibitem{institution} Goguen,~J. and Burstall,~R., ``Institutions: Abstract Model Theory for Specification and Programming'', \textit{Journal of the Association for Computing Machinery}, Vol.39, 1992, pp.95--146 \bibitem{osa-survey} Goguen,~J. and Diaconescu,~R., ``An Oxford Survey of Order Sorted Algebra'', Mathematical Structures in Computer Science, Vol.4, 1994, pp.363--392 \bibitem{hsa} Goguen,~J. and Malcom,~G., \textit{A Hidden Agenda}, technical report, UCSD, 1998 \bibitem{osa} Goguen,~J.A. and Meseguer,~J., \textit{Order-Sorted Algebra 1: Equational Deduction for Multiple Inheritance, Polymorphism, Overloading and Partial Operations}, Technical Report SRI-CSL-89-10, SRI International, 1989 \bibitem{OBJ} Goguen,~J., Winkler,~T., Meseguer,~J., Futatsugi,~K., and Jouannaud,~J.-P., \textit{Introducing OBJ}, Technichal Report SRI-CSL-92-03, SRI International, 1992 \bibitem{eatcs-coalg} Jacobs,~B. and Rutten,~J., ``A Tutorial on (Co)Algebras and (Co)Induction'', \textit{EATCS Bulletin}, No.62, EATCS, 1997, pp.222--259 \bibitem{trs-eatcs} Klop,~J.W., ``Term Rewriting Systems: A Tutorial'', \textit{EATCS Bulletin}, No.32, EATCS, 1987, pp.143--182 \bibitem{rew-logic} Meseguer,~J., ``Conditional Rewriting Logic: Deduction, Models and Concurrency'', \textit{Proc. 2nd International CTRS Workshop}, Lecture Notes in Computer Science 516, 1991, pp.64--91 \bibitem{m-g82} Meseguer,J. and Goguen,J.A., ``Initiality, induction and computability'', \textit{Algebraic Methods in Semantics}, Cambridge University Press, 1984, pp.459--541 \end{thebibliography} \clearpage \twocolindex \pagestyle{index} %\renewcommand{\chaptermark}[1]{} \renewcommand{\preindexhook}{% The first page number is usually, but not always, the primary reference to the indexed topic.\vskip\onelineskip} \indexintoc %%%\raggedright does nasty things to index entries \printindex \onecolindex \renewcommand*{\preindexhook}{} \renewcommand*{\indexname}{Index of first lines} %%%\indexintoc \printindex[lines] \cleardoublepage \end{document} cafeobj-1.5.4/doc/refman/0000755000000000000000000000000012611607651013632 5ustar rootrootcafeobj-1.5.4/doc/refman/additional-material.md0000644000000000000000000000527612415124723020066 0ustar rootrootIntroduction ============ (present a module (idea: stripped down version of the bank-account.mod) which contains most important and often used constructs describe the fundamental concepts of CafeOBJ (algebraic spec, order sort, model spec, ...) also contains a quick intro to interaction [Ch 1] but much shorter) CafeOBJ as TRS specification system, background, algebraic specification based on equational theory. Overview of the system ====================== alternative title: Main concepts (?) discuss the following topics in bit more details (parts of the current manual, stripped down) - sorts [Ch 3] - operators [Ch 4, Ch 7] - module [Ch 2, Ch 8] do not contain the syntactic definition in all the details, but explain these important items in more detail Sorts ----- use [Ch 3] ### Normal sorts ### ~~~ [ NzNat Zero < Nat ] ~~~ ### Hidden sorts ### Not to be included in the introduction ~~~ *[ Foo ]* ~~~ Term structure -------------- use [Ch 4 and 7] ### Variable declarations ### == vars M N : Nat == == N:Nat == ### Records ### ~~~~ Record { ... } ~~~~ ### Operators ### ~~~ op 0 : -> Zero op s_ : Nat -> NzNat op _+_ : Nat Nat -> Nat ~~~ Rewriting - Equations --------------------- ### Equations ### ~~~ eq N:Nat + 0 = N . eq N:Nat + s(M:Nat) = s(N + M) . ~~~ ### Transitions ### ~~~ trans ... ~~~ Glueing it together - modules ----------------------------- use [Ch 2 and 8] ~~~ module { ...sort definitions... ...operators... ...axioms and transitions... } ~~~ ### Views/Parametrization ### The full module --------------- ~~~ {#mycode .cafeobj .numberLines startFrom="10"} mod! SIMPLE-NAT { [ NzNat Zero < Nat ] op 0 : -> Zero op s_ : Nat -> NzNat op _+_ : Nat Nat -> Nat {comm} eq N:Nat + s(M:Nat) = s(N + M) . eq N:Nat + 0 = N . } ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ Gory Details ============ starting with the BNF definition of [Ch 12], go through alphabetic list of syntax elements (care has to be taken for infix ops etc) with explanations, taken from and adapted from the current manual. Combining similar items. Full syntactic definition and semantics (extraction/unification for the current manual): list as in the attached pdf (extraction of current manual), but merging following items (at least) (numbers also refer to the Syntax elements in the current manual) - done 12,13 - done 14,15 - done 17,23,24,61,64-69 parts of module expressin todo - done 26-28 - 29-31 - 32,33 - 39,40 - 42,43 - 44,46,47 - 49,50 From the currently not treated chapters we would - [Ch 5,6] -> part of the "part 3" (inspecting, evaluating, ...) - [Ch 9,10]-> merged into either "part 2" or appendix on proving - [Ch 11] -> part of the "part 3" cafeobj-1.5.4/doc/refman/epub.gpp0000644000000000000000000000024412415124723015271 0ustar rootroot\define{\_u{x}}{\x} \define{\_color{x}{y}}{\y} \define{\_abbr{x}{y}}{\y} \define{\_cafeobj}{CafeOBJ} cafeobj-1.5.4/doc/refman/html.gpp0000644000000000000000000000024412415124723015302 0ustar rootroot\define{\_u{x}}{\x} \define{\_color{x}{y}}{\y} \define{\_abbr{x}{y}}{\y} \define{\_cafeobj}{CafeOBJ} cafeobj-1.5.4/doc/refman/introduction.md0000644000000000000000000001017712415124723016677 0ustar rootrootIntroduction ============ This manual introduces the language CafeOBJ. Is is a reference manual with the aim to document the current status of the language, and not targeting at an exhaustive presentation of the mathematical and logical background. Still, the next section will give a short summary of the underlying formal approach and carry references for those in search for details. The manual is structured into three parts. The first one being this introduction, the second one being the presentation of basic concepts of CafeOBJ by providing a simple protocol which will get specified and verified. Although the second part tries to give a view onto the core features and their usage, it should not be considered a course in CafeOBJ, and cannot replace a proper introduction to the language. The CafeOBJ distribution also includes a _user manual_. This user manual is slightly outdated with respect to the current status of the language, but is targeting those without and prior knowledge of CafeOBJ. Finally, the last part consists of explanations of all current language elements in alphabetic order. This includes several higher level concepts, as well as heavy cross-referencing. While we hope that this manual and the introductory part helps beginners to start programming in CafeOBJ, the main target are those who already have acquired a certain level of fluency, but are in need for a reference of the language. Background of CafeOBJ ---------------------- CafeOBJ is an algebraic specification and verification language. Although it can be employed for all kind of programming (since it is Turing complete), the main target are algebraic specification of software systems. This includes programs, protocols, and all kind of interaction specifications. In addition to being a specification language, it is also a _verification_ language, that is, a specification given in CafeOBJ can be verified within the same language environment. _Specification_ here means that we are trying to describe the inner workings of a software system in a mathematical way, while _verification_ means that we give a mathematical proof of certain properties. A specification is a text, usually of formal syntax. It denotes an algebraic system constructed out of sorts (or data types) and sorted (or typed) operators. The system is characterize by the axioms in the specification. An axiom was traditionally a plain equation (``essentially algebraic''), but is now construed much more broadly. For example, CafeOBJ accommodates conditional equations, directed transitions, and (limited) use of disequality. CafeOBJ is based on three extensions to the basic many-sorted equational logic: Order-sorted logic : In addition to having different sorts (similar to types in other programming languages), these sorts can be ordered, or in other words, one sort can be a subset of another sort: Take for example the number stack: CafeOBJ allows for the provision of natural numbers, which are part of the rational numbers, which are part of the real numbers. This concept allows for operator inheritance and overloading. Behavioral logic : Algebraic modeling is often based on constructors, i.e., all terms under discussion are built up from given operations, and equality can be decided via an equational theory. While being very successful, it is often necessary to model infinite objects (like data streams), which cannot be achieved in this way. CafeOBJ includes _behavioral logic_ and the respective _hidden sorts_ as methodology to model infinite objects which identity is defined via behavior instead of the equational theory. Rewriting logic : Aim of a algebraic specification and verification is to give a formal proof of correctness. CafeOBJ contains order-sorted term rewriting as operational semantics, which allows for _execution of proof scores_, CafeOBJ code which forms a proof of the required properties. There is a wide range of literature on all of these subjects for the interested reader in search for theoretical background. We refer the reader to \cite{DBLP:conf/birthday/2014futatsugi} as a starting point. cafeobj-1.5.4/doc/refman/latex.gpp0000644000000000000000000000022712415124723015454 0ustar rootroot\define{\_u{x}}{\underline{\x}} \define{\_color{x}{y}}{\textcolor{\x}{\y}} \define{\_abbr{x}{y}}{\y\footnote{\x}} \define{\_cafeobj}{\textsf{CafeOBJ}} cafeobj-1.5.4/doc/refman/macros.gpp0000644000000000000000000000035312415124723015623 0ustar rootroot\ifdef{HTML} \include{html.gpp} \endif \ifdef{EPUB} \include{html.gpp} \endif \ifdef{LATEX} \include{latex.gpp} \endif \ifdef{PDF} \include{latex.gpp} \endif \ifdef{EPUB} \include{epub.gpp} \endif \ifdef{ODT} \include{odt.gpp} \endif cafeobj-1.5.4/doc/refman/makefile.gpp-used0000644000000000000000000000356312415124723017060 0ustar rootroot SHELL=/bin/bash ENGINE=xelatex # -V documentclass=book \ PDOPTS=-f markdown -V biblio-files=manual.bib --biblatex \ --template=template.tex \ --table-of-contents \ -V papersize=a4paper \ -V mainfont='Lucida Bright OT' \ -V sansfont='Lucida Sans OT' \ -V monofont='Lucida Sans Typewriter OT' \ -V documentclass=memoir \ --latex-engine=$(ENGINE) MDFILES=reference-manual.md introduction.md overview.md \ reference.md cloudsync.md # # we cannot use -T for gpp, as the @ would function as escape marker which # destroys references in pandoc. # For now we do *not* specify an escape marker, last argument to -U GPPOPTS=-U "\\" "" "{" "}{" "}" "{" "}" "\#" "" manuals: reference-manual.odt reference-manual.epub reference-manual.html reference-manual.pdf reference-manual.odt: $(MDFILES) odt.gpp makefile gpp $(GPPOPTS) -DODT=1 reference-manual.md | pandoc ${PDOPTS} -t odt -s -o reference-manual.odt reference-manual.epub: $(MDFILES) epub.gpp makefile gpp $(GPPOPTS) -DEPUB=1 reference-manual.md | pandoc ${PDOPTS} -t epub -s -o reference-manual.epub reference-manual.tex: $(MDFILES) latex.gpp makefile manual.bib template.tex gpp $(GPPOPTS) -DLATEX=1 reference-manual.md | pandoc ${PDOPTS} -t latex -s -o reference-manual.tex reference-manual.html: $(MDFILES) html.gpp makefile gpp $(GPPOPTS) -DHTML=1 reference-manual.md | pandoc ${PDOPTS} -t html -s -o reference-manual.html reference-manual.bbl: reference-manual.tex manual.bib $(ENGINE) reference-manual.tex biber reference-manual reference-manual.pdf: reference-manual.tex reference-manual.bbl $(ENGINE) reference-manual.tex $(ENGINE) reference-manual.tex all: reference-manual.pdf reference-manual.html clean: rm -f reference-manual.{aux,bbl,bcf,blg,log,out,run.xml,toc} rm -f reference-manual-blx.bib realclean: clean rm -f reference-manual.pdf reference-manual.html rm -f reference-manual.tex cafeobj-1.5.4/doc/refman/manual.bib0000644000000000000000000000662212415124723015567 0ustar rootroot@proceedings{DBLP:conf/birthday/2014futatsugi, editor = {Sh. Iida and J. Meseguer and K. Ogata}, title = {Specification, Algebra, and Software - Essays Dedicated to Kokichi Futatsugi}, booktitle = {Specification, Algebra, and Software}, publisher = {Springer}, series = {LNCS}, volume = {8373}, year = {2014}, isbn = {978-3-642-54623-5}, ee = {http://dx.doi.org/10.1007/978-3-642-54624-2}, bibsource = {DBLP, http://dblp.uni-trier.de} } @TechReport{osa, author = {Goguen, J.A. and Meseguer, J.}, title = {Order-Sorted Algebra 1: Equational Deduction for Multiple Inheritance, Polymorphism, Overloading and Partial Operations}, institution = {SRI Internationa}, year = 1989, number = {Technical Report SRI-CSL-89-10}} @Article{osa-survey, author = {Goguen, J. and Diaconescu, R.}, title = {An Oxford Survey of Order Sorted Algebra}, journal = {Mathematical Structures in Computer Science}, year = 1994, pages = {363-392}, volume = 4} @Book{e-m85, author = {Ehrig, H. and Mahr, B.}, title = {Fundamentals of Algebraic Specifications 1: Equations and Initial Semantics}, publisher = {Springer-Verlag}, year = 1985} @TechReport{hsa, author = {Goguen, J. and Malcom, G.}, title = {A Hidden Agenda}, institution = {UCSD}, year = 1998} @InCollection{m-g82, author = {Meseguer,J. and Goguen,J.A.}, booktitle = {Algebraic Methods in Semantics}, title = {Initiality, induction and computability}, publisher = {Cambridge University Press}, year = 1984, pages = {459--541}} @Article{eatcs-coalg, author = {Jacobs, B. and Rutten, J.}, title = {A Tutorial on (Co)Algebras and (Co)Induction}, journal = {EATCS Bulletin}, year = 1997, number = 62, pages = {222-259}} @InProceedings{rew-logic, author = {Meseguer, J.}, title = {Conditional Rewriting Logic: Deduction, Models and Concurrency}, booktitle = {Proc. 2nd International CTRS Workshop}, year = 1991, number = 516, series = {Lecture Notes in Computer Science}, pages = {64-91}} @Article{institution, author = {Goguen, J. and Burstall, R.}, title = {Institutions: Abstract Model Theory for Specification and Programming}, journal = {Journal of the Association for Computing Machinery}, year = 1992, volume = 39, pages = {95--146}} @Article{trs-eatcs, author = {Klop, J.W.}, title = {Term Rewriting Systems: A Tutorial}, journal = {EATCS Bulletin}, year = 1987, number = 32, pages = {143--182}} @InCollection{trs-handbook, author = {Dershowitz, N. and Jouannaud, J.-P.}, booktitle = {Handbook of Theoretical Computer Science, Vol.B: Formal Models and Semantics}, title = {Rewrite Systems}, publisher = {The MIT Press/Elsevier Science Publishers}, year = 1990, pages = {245--320}} @TechReport{razvan96-1, author = {Diaconescu, R. and Futatsugi, K.}, title = {Logical Semantics of CafeOBJ}, institution = {Japan Advanced Institute for Science and Technology}, year = 1996, number = {IS-RR-96-0024S}} @Book{cafeobj-rep, author = {Diaconescu, R. and Futatsugi, K.}, title = {CafeOBJ Report}, publisher = {World Scientific}, year = 1998} @Misc{preining:cafeobj, author = {Norbert Preining}, title = {CafeOBJ}, howpublished = {\url{http://www.preining.info/blog/cafeobj/}}} cafeobj-1.5.4/doc/refman/odt.gpp0000644000000000000000000000014512415124723015124 0ustar rootroot\define{\_u{x}}{\x} \define{\_color{x}{y}}{\y} \define{\_abbr{x}{y}}{\y} \define{\_cafeobj}{CafeOBJ} cafeobj-1.5.4/doc/refman/overview.md0000644000000000000000000000770612415124723016030 0ustar rootrootOverview of the system ====================== Let us start with a simple definition of a module, which are the basic building blocks of any CafeOBJ program: ````` mod NATPAIR { pr(NAT) [Pair] var P : Pair op <_,_> : Nat Nat -> Pair {constr} op fst : Pair -> Nat op snd : Pair -> Nat eq fst( < A:Nat , B:Nat > ) = A . eq snd( < A:Nat , B:Nat > ) = B . } ````` This example already presents most of the core concepts of CafeOBJ: * modules as the basic building blocks * import of other modules `pr(NAT)` * sorts `[Pair]` * operator signature and equations Let us start with sorts, as they are the fundamental types. Sorts ----- Most programming languages allow for different sorts, or types of objects. In this respect CafeOBJ is not different and allows to have arbitrary sorts. In addition, these sorts can be ordered, more specific one sort can be declared a sub-sort of another. In the above example ````` [ Pair ] ````` a new sort called `Pair` is introduced. This is a completely new sort and is in no sub-sort relation to any other sort. This is a very common case, and reflects the different types of objects in other programming languages. In case one wants to introduce ordering in the sorts, the order can be expressed together with the definition of the sort, as in: ````` [ Nat < Set ] ````` which would introduce a new sort `Set` and declares it as supersort of the (builtin) sort `Nat`. For more details concerning sorts, see [`sort declaration`](#sort). Imports {#intro-imports} ------- CafeOBJ allows for importing and reusing of already defined modules: ````` pr(NAT) ````` for example pulls in the natural numbers (in a very minimal implementation). There are several modes of pulling in other modules, differing in the way the (semantic) models of the included module are treated. After a statement of import, the sorts, variables, and operators of the imported modules can be used. For more details see [`protecting`](#protecting), [`extending`](#extending), [`using`](#using), [`including`](#including) Variables and Operators ----------------------- While sorts define data types, variables hold objects of a specific type, and operators define functionality. For each variable its sort has to be declared, and for each operator the signature, i.e., the sorts of the input data and the sort of the output, has to be given. ````` var P : Pair op fst : Pair -> Nat ````` This example declares a variable `P` of type pair, and an operator `fst` which maps the sort `Pair` to the sort `Nat`, or in other words, a function that maps pairs of natural numbers to natural numbers. We have seen already a different way to specify operators, namely ````` op <_,_> : Nat Nat -> Pair {constr} ````` which introduces an infix operator. CafeOBJ is very flexible and allows to freely specify the syntax. In an operator declaration as the above, the underscores `_` represent arguments to the operator. That also means that the number of underscores must match the number of sorts given before the `->`. After the above declaration CafeOBJ will be able to parse terms like `< 3 , 4 >` and correctly type them as pair. For further details, see [`var`](#var), [`op`](#op). Equations (or Axioms) --------------------- Using sorts, variables, and operators we have specified the terms that we want to speak about. In the following equations, or sometimes called axioms, will equate different terms. Equating here is meant in the algebraic sense, but also in the term-rewriting sense, as equations form the basis of rewrite rules which provide CafeOBJ with the executable semantics: ````` eq fst( < A:Nat , B:Nat > ) = A . eq snd( < A:Nat , B:Nat > ) = B . ````` As soon as an operator like `fst` has been declared, we can give equations. In this case we define `fst` of a pair to return the first element. For further details see [`eq`](#eq). ******************* In the following chapter we will include the specification of a protocol with the full code, explaining some concepts on the way. cafeobj-1.5.4/doc/refman/reference-backup.md0000644000000000000000000012507212415124723017360 0ustar rootrootGory Details {#gorydetails} ============ This chapter presents all syntactic elements of CafeOBJ as well as several meta-concepts in alphabetic order. Concepts are cross-linked for easy accessibility. ## `?` ## {#help} lists all top-level commands. The `?` can be used after many of the top-level commands to obtain help. ## `! ` ## {#commandexec} TODO Currently not working!! On Unix only, forks a shell and executes the given ``. ## `**`, `**>` ## {#starstar} Starts a comment which extends to the end of the line. With the additional `>` the comment is displayed while evaluated by the interpreter. Related: [`--`](#dashdash) [comments](#comments) ## `--`, `-->` ## {#dashdash} Starts a comment which extends to the end of the line. With the additional `>` the comment is displayed while evaluated by the interpreter. Related: [`**`](#starstar) [comments](#comments) ## `=` ## {#axeq} The syntax element `=` introduces an axiom of the equational theory, and is different from `==` which specifies an equality based on rewriting. Related: [`==`](#equality) [`eq`](#eq) ## `==` ## {#equality} The predicate `==` is a binary operator defined for each visible sort and is defined in terms of evaluation. That is, for ground terms `t` and `t'` of the same sort, `t == t'` evaluates to `true` iff terms reduce to a common term. This is different from the equational `=` which specifies the equality of the theory. ## `==>` ## {#transrel} This binary predicate is defined on each visible sort, and defines the transition relation, which is reflexive, transitive, and closed under operator application. It expresses the fact that two states (terms) are connected via transitions. Related: [`trans`](#trans) [`=(*)=>`](#transsearch) ## `=*=` ## {#bequality} The predicate for behavioural equivalence, written `=*=`, is a binary operator defined on each hidden sort. TODO: old manual very unclear ... both about `=*=` and `accept =*= proof` ??? (page 46 of old manual) ## `=(n)=>` `=(n,m)=>` ## {#transsearch} See [search predicate](#searchpredicate) ## `=/=` ## {#ineq} Negation of the predicate [`==`](#equality). ## `accept =*= proof` switch ## {#switch-accept} TODO missing documentation difficult - see TODO for [`=*=`](#bequality) ## `all axioms` switch ## {#switch-all-axioms) Controls whether axioms from included modules are shown during a `show` invocation. Related: [`show`](#show) ## `always memo` switch ## {#switch-always-memo) Turns on memorization of computation also for operators without the [`memo`](#opattr) operator attribute. Related: [`memo` switch](#switch-memo) [operator attributes](#opattr) ## `apply [ ] ` ## {#apply} Applies one of the following actions `reduce`, `exec`, `print`, or a rewrite rule to the term in focus. `reduce`, `exec`, `print` ~ the operation acts on the (sub)term specified by `` and ``. rewrite rule ~ in this case a rewrite rule spec has to be given in the following form: `[+|-][].` where `` is the name of a module, and `` either a number n - in which case the n. equation in the current module is used, or the label of an equation. If the `` is not given, the equations of the current module are considered. If the leading `+` or no leading character is given, the equation is applied left-to-right, which with a leading `-` the equation is applied right-to-left. The `` is of the form `with { = } +,` and is used when applying a rewrite rule. In this case the variables in the rule are bound to the given term. `` is either `within` or `at`. In the former case the action is applied at or inside the (sub)term specified by the following selection. In the later case it means exactely at the (sub)term. Finally, the `` is an expression ` { of } *` where each `` is one of `top`, `term` ~ Selects the whole term `subterm` ~ Selects the pre-chosen subterm (see [`choose`](#choose)) `( )` ~ A list of numbers separated by blanks as in `(2 1)` indicates a subterm by tree search. `(2 1)` means the first argument of the second argument. `[ .. ]` ~ This selector can only be used with associative operators. It indicates a subterm in a flattened structure and selects the subterm between and including the two numbers given. `[n .. n]` can be abbreviated to `[n]`. Example: If the term is `a * b * c * d * e`, then the expression `[2 .. 4]` selects the subterm `b * c * d`. `{ }` ~ This selector can only be used with associative and commutative operators. It indicates a subterm in a multiset structure obtained from selecting the subterms at position given by the numbers. Example: If the operator `_*_` is declared as associative and commutative, and the current term is `b * c * d * c * e`, then then the expression `{2, 4, 5}` selects the subterm `c * c * e`. Related: [`choose`](#choose) [`start`](#start) ## `auto context` switch ## {#switch-auto-context} Possible values: `on` or `off`, default is `off`. If this switch is `on`, the context will automatically switch to the most recent module, i.e., defining a module or inspecting a module's content will switch the current module. ## `autoload` ## {#autoload} TODO No documentation in original manual, no idea! ## `axioms { }` ## {#axioms} Block enclosing declarations of variables, equations, and transitions. Other statements are not allowed within the `axioms` block. Optional structuring of the statements in a module. Related: [`signature`](#signature) [`imports`](#imports) [`var`](#var) [`eq`](#eq) [`trans`](#trans) ## `bceq [ ] = if .` ## {#bceq} Alias: `bcq` Defines a behaviour conditional equation. For details see [`ceq`](#ceq). Related: [`eq`](#eq) [`ceq`](#ceq) [`beq`](#beq) ## `beq [ ] = .` ## {#beq} Defines a behaviour equation. For details see [`eq`](#eq). Related: [`eq`](#eq) [`ceq`](#ceq) [`bceq`](#bceq) ## `bctrans [ ] => if .` ## {#bctrans} Defines a behaviour conditional transition. For details see [`ctrans`](#ctrans). Related [`trans`](#trans) [`ctrans`](#ctrans) [`btrans`](#btrans) ## `bop : -> ` ## {#bop} Defines a behavioural operator by its domain, codomain, and the term construct. `` is a space separated list of sort names containing *exactely* one hidden sort. `` is a single sort name. For `` see the explanations of [`op`](#op). Related: [`op`](#op) ## `bpred : ` ## {#bpred} Short hand for `op : -> Bool` defining a behavioural predicate. Related: [`op`](#op) [`bop`](#op) [`pred`](#bpred) ## `breduce [ in : ] .` ## {#breduce} Alias: `bred` Reduce the given term in the given module, if `` is given, otherwise in the current module. For `breduce` equations, possibly conditional, possibly behavioural, are taken into account for reduction. Related: [`execute`](#execute) [`reduce`](#reduce) ## `btrans [ ] => .` ## {#btrans} Defines a behaviour transition. For details see [`trans`](#trans). Related [`trans`](#trans) [`ctrans`](#ctrans) [`bctrans`](#bctrans) ## `cbred` ## {#cbred} TODO no documentation ## `cd ` ## {#cd} Change the current working directory, like the Unix counterpart. The argument is necessary. No kind of expansion or substitution is done. Related: [`pwd`](#pwd) [`ls`](#ls) ## `ceq [ ] = if .` ## {#ceq} Defines a conditional equation. Spaces around the `if` are obligatory. `` needs to be a Boolean term. For other requirements see [`eq`](#eq). Related: [`eq`](#eq) [`beq`](#beq) [`bceq`](#bceq) ## `check ` switch ## {#switch-check} These switches turn on automatic checking of certain properties: `check coherency` ~ TODO `check compatibility` ~ see the [`check`](#check) command `check import` ~ TODO `check regularity` ~ see the [`check`](#check) command `check sensible` ~ TODO ## `check ` ## {#check} This command allows for checking of certain properties of modules and operators. `check regularity ` ~ Checks whether the module given by the module expression `` is regular. `check compatibility ` ~ Checks whether term rewriting system of the module given by the module expression `` is compatible, i.e., every application of every rewrite rule to every well-formed term results in a well-formed term. (This is not necessarily the case in order-sorted rewriting!) `check laziness ` ~ Checks whether the given operator can be evaluated lazily. If not `` is given, all operators of the current module are checked. Related: [`regularize`](#regularize) ## `choose ` ## {#choose} Chooses a subterm by the given ``. See [`apply`](#apply) for details on ``. Related: [`apply`](#apply) [`start`](#start) [`strat` in operator attributes](#opattr) ## `clean memo` ## {#cleanmemo} Resets (clears) the memo storages of the system. Memorized computations are forgotten. Related: [`clean memo` switch](#switch-clean-memo) ## `clean memo` switch ## {#switch-clean-memo} Possible values: `on`, `off`, default `off`. tells the system to be forgetful. TODO what is the difference between `set memo off` and `set clean memo off` ## `close` ## {#close} This command closes a modification of a module started by `open`. Related: [`open`](#open) ## comments ## {#comments} The interpreter accepts the following strings as start of a comment that extends to the end of the line: `--`, `-->`, `**`, `**>`. The difference in the variants with `>` is that the comment is displayed when run through the interpreter. Related: [`**`](#starstar) [`--`](#dashdash) ## `cond limit` switch ## {#switch-cond-limit} TODO missing documentation ## `ctrans [ ] => .` ## {#ctrans} Defines a conditional transition. For details see [`trans`](#trans) and [`ceq`](#ceq). Related [`trans`](#trans) [`btrans`](#ctrans) [`bctrans`](#bctrans) ## `describe ` ## {#describe} like the `show` command with more details. See `describe ?` for the possible set of invocations. Related: [`show`](#show) ## `eof` ## {#eof} Terminates reading of the current file. Allows for keeping untested code or documentations below the `eof` mark. Has to be on a line by itself without leading spaces. ## `eq [ ] = .` ## {#eq} Declares an axiom, or equation. Spaces around the `=` are necessary to separate the left from the right hand side. The terms given must belong to the same connected component in the graph defined by the sort ordering. In simple words, the objects determined by the terms must be interpretable as of the same sort. 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Introduction

This manual introduces the language CafeOBJ. Is is a reference manual with the aim to document the current status of the language, and not targeting at an exhaustive presentation of the mathematical and logical background. Still, the next section will give a short summary of the underlying formal approach and carry references for those in search for details.

The manual is structured into three parts. The first one being this introduction, the second one being the presentation of basic concepts of CafeOBJ by providing a simple protocol which will get specified and verified. Although the second part tries to give a view onto the core features and their usage, it should not be considered a course in CafeOBJ, and cannot replace a proper introduction to the language. The CafeOBJ distribution also includes a user manual. This user manual is slightly outdated with respect to the current status of the language, but is targeting those without and prior knowledge of CafeOBJ.

Finally, the last part consists of explanations of all current language elements in alphabetic order. This includes several higher level concepts, as well as heavy cross-referencing.

While we hope that this manual and the introductory part helps beginners to start programming in CafeOBJ, the main target are those who already have acquired a certain level of fluency, but are in need for a reference of the language.

Background of CafeOBJ

CafeOBJ is an algebraic specification and verification language. Although it can be employed for all kind of programming (since it is Turing complete), the main target are algebraic specification of software systems. This includes programs, protocols, and all kind of interaction specifications. In addition to being a specification language, it is also a verification language, that is, a specification given in CafeOBJ can be verified within the same language environment.

Specification here means that we are trying to describe the inner workings of a software system in a mathematical way, while verification means that we give a mathematical proof of certain properties. A specification is a text, usually of formal syntax. It denotes an algebraic system constructed out of sorts (or data types) and sorted (or typed) operators. The system is characterize by the axioms in the specification. An axiom was traditionally a plain equation (``essentially algebraic''), but is now construed much more broadly. For example, CafeOBJ accommodates conditional equations, directed transitions, and (limited) use of disequality.

CafeOBJ is based on three extensions to the basic many-sorted equational logic:

Order-sorted logic
In addition to having different sorts (similar to types in other programming languages), these sorts can be ordered, or in other words, one sort can be a subset of another sort: Take for example the number stack: CafeOBJ allows for the provision of natural numbers, which are part of the rational numbers, which are part of the real numbers. This concept allows for operator inheritance and overloading. Behavioral logic
Algebraic modeling is often based on constructors, i.e., all terms under discussion are built up from given operations, and equality can be decided via an equational theory. While being very successful, it is often necessary to model infinite objects (like data streams), which cannot be achieved in this way. CafeOBJ includes behavioral logic and the respective hidden sorts as methodology to model infinite objects which identity is defined via behavior instead of the equational theory. Rewriting logic
Aim of a algebraic specification and verification is to give a formal proof of correctness. CafeOBJ contains order-sorted term rewriting as operational semantics, which allows for execution of proof scores, CafeOBJ code which forms a proof of the required properties.

There is a wide range of literature on all of these subjects for the interested reader in search for theoretical background. We refer the reader to as a starting point.

Overview of the system

Let us start with a simple definition of a module, which are the basic building blocks of any CafeOBJ program:

mod NATPAIR {
  pr(NAT)
  [Pair]
  var P : Pair
  op <_,_> : Nat Nat -> Pair {constr}
  op fst : Pair -> Nat
  op snd : Pair -> Nat
  eq fst( < A:Nat , B:Nat > ) = A .
  eq snd( < A:Nat , B:Nat > ) = B .
}

This example already presents most of the core concepts of CafeOBJ:

  • modules as the basic building blocks
  • import of other modules pr(NAT)
  • sorts [Pair]
  • operator signature and equations

Let us start with sorts, as they are the fundamental types.

Sorts

Most programming languages allow for different sorts, or types of objects. In this respect CafeOBJ is not different and allows to have arbitrary sorts. In addition, these sorts can be ordered, more specific one sort can be declared a sub-sort of another. In the above example

[ Pair ]

a new sort called Pair is introduced. This is a completely new sort and is in no sub-sort relation to any other sort. This is a very common case, and reflects the different types of objects in other programming languages.

In case one wants to introduce ordering in the sorts, the order can be expressed together with the definition of the sort, as in:

[ Nat < Set ]

which would introduce a new sort Set and declares it as supersort of the (builtin) sort Nat.

For more details concerning sorts, see sort declaration.

Imports

CafeOBJ allows for importing and reusing of already defined modules:

pr(NAT)

for example pulls in the natural numbers (in a very minimal implementation). There are several modes of pulling in other modules, differing in the way the (semantic) models of the included module are treated.

After a statement of import, the sorts, variables, and operators of the imported modules can be used.

For more details see protecting, extending, using, including

Variables and Operators

While sorts define data types, variables hold objects of a specific type, and operators define functionality. For each variable its sort has to be declared, and for each operator the signature, i.e., the sorts of the input data and the sort of the output, has to be given.

var P : Pair
op fst : Pair -> Nat

This example declares a variable P of type pair, and an operator fst which maps the sort Pair to the sort Nat, or in other words, a function that maps pairs of natural numbers to natural numbers.

We have seen already a different way to specify operators, namely

op <_,_> : Nat Nat -> Pair {constr}

which introduces an infix operator. CafeOBJ is very flexible and allows to freely specify the syntax. In an operator declaration as the above, the underscores _ represent arguments to the operator. That also means that the number of underscores must match the number of sorts given before the ->. After the above declaration CafeOBJ will be able to parse terms like < 3 , 4 > and correctly type them as pair.

For further details, see var, op.

Equations (or Axioms)

Using sorts, variables, and operators we have specified the terms that we want to speak about. In the following equations, or sometimes called axioms, will equate different terms. Equating here is meant in the algebraic sense, but also in the term-rewriting sense, as equations form the basis of rewrite rules which provide CafeOBJ with the executable semantics:

eq fst( < A:Nat , B:Nat > ) = A .
eq snd( < A:Nat , B:Nat > ) = B .

As soon as an operator like fst has been declared, we can give equations. In this case we define fst of a pair to return the first element.

For further details see eq.

In the following chapter we will include the specification of a protocol with the full code, explaining some concepts on the way.

CloudSync

In the following we will model a very simple protocol for cloud synchronization of a set of PCs. The full code of the actual specification, as well as parts of the verification proof score will be included and discussed.

Besides giving an example of a specification and verification, we also try to explain several of the most important concepts in CafeOBJ using rather simple examples.

Protocol

One cloud computer and arbitrary many PCs have one value each that they want to keep in sync. This value is a natural number, and higher values mean more recent (like SVN revision numbers).

The Cloud can be in two states, idle and busy, while the PCs can be on of the following three states: idle, gotvalue, updated. The Cloud as well as all PCs are initially in the idle state. When a PC connects to the cloud, three things happen:

  1. the cloud changes into busy state
  2. the PC reads the value of the cloud and saves it in a temporary location
  3. the PC changes into gotvalue state

In the gotvalue state the PC compares his own value against the value it got from the cloud, and updates accordingly (changes either the cloud or the own value to the larger one). After this the PC changes into the updated state.

From the update state both the Cloud and the PC return into the idle state.

TODO include a graphic that shows this TODO

Specification

We will now go through the full specification with explanations of some of the points surfacing. We are starting with two modules that specify the possible states the cloud and the PCs can be in:

mod! CLLABEL {
  [ClLabelLt < ClLabel]
  ops idlecl busy : -> ClLabelLt {constr} .
  eq (L1:ClLabelLt = L2:ClLabelLt) = (L1 == L2) .
}
mod! PCLABEL {
  [PcLabelLt < PcLabel]
  ops idlepc gotvalue updated : -> PcLabelLt {constr} .
  eq (L1:PcLabelLt = L2:PcLabelLt) = (L1 == L2) .
}

Both modules define two new sorts each, the actual label, and literals for the labels. One can see that we declare the signatures of the literal labels with the ops keyword, which introduces several operators of the same signature at the same time.

The last equation in each models provides a definition of equality by using the behavioral equality ==. The predicate == is the equivalence predicate defined via reduction. Thus, the two axioms given above state that two literals for labels are the same if they are syntactically the same, since they cannot be rewritten anymore.

Furthermore, note that we choose different names for the idle state of the PCs and the cloud, to have easy separation.

The next module introduces a parametrized pair module. Parametrizing modules is a very powerful construction, and common in object oriented programming languages. In principle we leave open what are the actual components of the pairs, and only specify the operational behavior on a single pair.

In this and the next example of the multi-set, there are no additional requirements on the sorts that can be used to instantiate a pair (or multi-set). In a more general setting the argument after the double colon :: refers to a sort, and an instantiation must be adequate for this sort (details require deeper understanding of homomorphism).

mod! PAIR(X :: TRIV,Y :: TRIV) {
  [Pair]
  op <_,_> : Elt.X Elt.Y -> Pair {constr}
  op fst : Pair -> Elt.X
  op snd : Pair -> Elt.Y
  eq fst(< A:Elt.X,B:Elt.Y >) = A .
  eq snd(< A:Elt.X,B:Elt.Y >) = B .
}

The next module is also parametrized, axiomatizing the concept of multi-set where a certain element can appear multiple times in the multi-set. We want to use this module to present another feature, namely the option to specify additional properties of some operators. In this case we are specifying that the constructor for sets is associative assoc, commutative comm, and has as identity the empty set.

While it is easily possible to add associativity and commutativity as axioms directly, this is not advisable, especially for commutativity. Assume adding the simple equation eq A * B = B * A .. This defines a rewrite rule from left to right. But since A and B are variables the can be instantiated with arbitrary subterms, and one would end up with an infinite rewriting.

mod MULTISET(X :: TRIV) {
  [ Elt.X < MultiSet ]
  op empty : -> MultiSet {constr} .
  -- associative and commutative set constructor with identity empty
  op (_ _) : MultiSet MultiSet -> MultiSet { constr assoc comm id: empty }
}

With all this set up we can defined the cloud state as a pair of a natural number, and a state. Here we see how a parametrized module is instantiated. The details of the renaming for the second element are a bit involved, but thinking about renaming of sorts and operators to match the ones given is the best idea.

Having this in mind we see that when we put the CLLABEL into the second part of the pair, we tell the system that it should use the ClLabel sort for the instantiation of the Elt sort, and not the ClLabelLt sort.

Furthermore, after the instantiation we rename the final outcome again. In this case we rename the Pair to ClState, and the operators to their cousins with extension in the name.

mod! CLSTATE { 
  pr(PAIR(NAT, CLLABEL{sort Elt -> ClLabel})*
     {sort Pair -> ClState, op fst -> fst.clstate, op snd -> snd.clstate }) 
}

The PC state is now very similar, only that we have to have a triple (3TUPLE is a builtin predicate of CafeOBJ), since we need one additional place for the temporary value. In the same way as above we rename the Elt to PcLabel and the outcome back to PcState.

mod! PCSTATE { 
  pr(3TUPLE(NAT, NAT, PCLABEL{sort Elt -> PcLabel})*{sort 3Tuple -> PcState})
}

As we will have an arbitrary set of PCs, we define the multi-set of all PC states, by instatiating the multi-set from above with the just defined PcState sort, and rename the result to PcStates.

mod! PCSTATES { 
  pr(MULTISET(PCSTATE{sort Elt -> PcState})*{sort MultiSet -> PcStates}) 
}

Finally, the state of the whole system is declared as a pair of the cloud state and the pc states.

mod! STATE { 
  pr(PAIR(CLSTATE{sort Elt -> ClState},
          PCSTATES{sort Elt -> PcStates})*{sort Pair -> State}) 
}

The final part is to specify transitions. We have described the protocol by a state machine, and the following transitions will model the transitions in this machine.

The first transition is the initialization of the synchronization by reading the cloud value, saving it into the local register, and both partners go into busy state.

Note that, since we have declared multi-set as commutative and associative, we can assume that the first element of the multi-set is actually the one we are acting on.

Transitions are different from axioms in the sense that the do not state that two terms are the same, but only that one terms can change into another.

mod! GETVALUE { pr(STATE)
  trans[getvalue]: 
    < < ClVal:Nat , idlecl > , 
      ( << PcVal:Nat ; OldClVal:Nat ; idlepc >> S:PcStates ) >
    =>
    < < ClVal , busy > , ( << PcVal ; ClVal ; gotvalue >> S ) > .
}

The next transition is the critical part, the update of the side with the lower value. Here we are using the built-in if ... then ... else ... fi operator.

mod! UPDATE { pr(STATE)
  trans[update]:
    < < ClVal:Nat , busy > , 
      ( << PcVal:Nat ; GotClVal:Nat ; gotvalue >> S:PcStates ) >
    =>
      if PcVal <= GotClVal then
    < < ClVal , busy > , ( << GotClVal ; GotClVal ; updated >> S ) >
      else
    < < PcVal , busy > , ( << PcVal ; PcVal ; updated >> S ) >
      fi .
}

The last transition is sending the both sides of the synchronization into the idle states.

mod! GOTOIDLE { pr(STATE)
  trans[gotoidle]: 
    < < ClVal:Nat , busy > , 
      ( << PcVal:Nat ; OldClVal:Nat ; updated >> S:PcStates ) >
    =>
    < < ClVal , idlecl > , ( << PcVal ; OldClVal ; idlepc >> S ) > .
}

This completes the complete specification of the protocol, and we are defining a module CLOUD that collects all that.

mod! CLOUD { pr(GETVALUE + UPDATE + GOTOIDLE) }

Verification

Aim of the verification is to show correctness in the sense that no two PCs are at the same time in the busy state. The idea of the proof is to show using induction on the length of transition sequences from initial states to reachable states, that for all reachable states this property is fulfilled.

More specific, we give a characterization of initial states, and show that for initial states the property holds (base case of the induction). Then we show that for all possible transitions, if the target property holds at the beginning of the transition, it also holds at the end of the transition.

Combining this with a (meta-level) induction proof on the length of transition sequences, we show that the target property holds for all reachable states.

Like with loop invariants in other verification schemes, it turns out that a single target property, the exclusion property mentioned above, does not suffice to hold over transitions, i.e., act as transition invariant. Thus, we have to extended it with additional properties.

The first part of this mini-tutorial on the specification of CloudSync contained the full code, but in the following we will, due to space reasons, only include partial code. The latest version of the CloudSync code can be obtained from .

But let us start with the definition of predicates for the initial states. The first step is to define some elementary functions on states, counting how many PCs are in a certain state:

mod! STATEfuncs {
  pr(NAT + STATE) 
  -- no pc in gotvalue state
  pred zero-gotvalue : State .
  pred zero-updated : State .
  ...
}

We are collecting a set of predicates, indicated by their predicate name, and define apply as an operator that checks each single predicate against a state, and forms the conjunct of the results.

mod! APPLYPREDS {
  pr(STATE)
  [PredName < PredNameSeq]
  op (_ _) : PredNameSeq PredNameSeq -> PredNameSeq {assoc} .
  op apply : PredNameSeq State -> Bool .
  eq apply(P:PredName PS:PredNameSeq, S:State) = apply(P,S) and apply(PS,S) .
}

Characterization of the initial state is easy, as it only requires that all PCs as well as the cloud is in idle state.

mod! INITPREDS {
  ...
  op cl-is-idle-name : -> PredName .
  op pcs-are-idle-name : -> PredName .
  ...
}

In the following we define the predicate specifying initial states:

mod! INITIALSTATE {
  pr(INITPREDS)
  op init-name : -> PredNameSeq .
  eq init-name = cl-is-idle-name pcs-are-idle-name .
  pred init : State .
  eq init(S:State) = apply(init-name, S) .
}

Let us now turn to the most difficult part, that is finding an invariant. This is not a one-shot technique, but mostly iterative. One starts with a set of predicates, and realizes that the proofs don't work out properly, due to some missing properties. Thus, we add new predicates and iterate until the induction proof finally succeeds.

In the following case we ended up with five different predicates that combined worked as invariant:

cloud-idle-pcs-idle
If the cloud is in the idle state, then all the pcs are also in the idle state.
pc-clval
If the cloud is in busy state, then the value of the cloud and the value in the temporary storage area of any PCs in the gotvalue or updated states agree.
one-active
At most one PC is out of the idle state.
gotvalue-cloud-value
If a PC is in the gotvalue state, then the value saved in the temporary storage area and the one of the cloud agree.
goal
If a PC is in the updated state, then the value of the PC and the value of the cloud agree.

See the mentioned web-page for the full code of these modules.

In addition to the necessity to introduce additional predicates to obtain an invariant, it also often turns out that some properties, or lemmas, have to be stated or proven so that the verification can work out. In our case some properties on if_then_else_fi constructs, as well as consequences of rewriting are included in a module NECESSARYFACTS.

The final - and one of the most important parts - is the proof of the two properties:

  • base case: if a state satisfies the initial state predicate, it also satisfies the invariant: red init(S) implies invariant(S) .
  • induction step: if a state satisfies the invariant, and we apply a transition, then the next state also satisfies the invariant: `red inv-condition(S, SS) .

In both cases we cannot work with a general variable S, as in this case no rewriting can take place, and we will not obtain true. What has to be done is to provide a covering set of state expressions, i.e., a set of terms such that every possible instance of a state is also an instance of one of these terms. In our case this is quite easy to provide and consists of six different state terms, combining the three possibilities for a PC with two options of states for the cloud:

  ops s1 s2 s3 s4 t1 t2 t3 t4 : -> State .
  eq s1 =  < < N , idlecl > , ( << M ; K ; idlepc   >> PCS ) >  .
  eq s2 =  < < N , idlecl > , ( << M ; K ; gotvalue >> PCS ) >  .
  eq s3 =  < < N , idlecl > , ( << M ; K ; updated  >> PCS ) >  .
  eq t1 =  < < N , busy   > , ( << M ; K ; idlepc   >> PCS ) >  .
  eq t2 =  < < N , busy   > , ( << M ; K ; gotvalue >> PCS ) >  .
  eq t3 =  < < N , busy   > , ( << M ; K ; updated  >> PCS ) >  .

It is easy to see that any arbitrary state term can be obtained as instance of one of these six state terms.

What we then show is that the above properties do hold for each of these terms, and thus for each of the reachable states. In details, we show that:

  red init(s1) implies invariant(s1) .
  red init(s2) implies invariant(s2) .
  red init(s3) implies invariant(s3) .
  red init(t1) implies invariant(t1) .
  red init(t2) implies invariant(t2) .
  red init(t3) implies invariant(t3) .

all of these expressions reduce to true. And furthermore, all of the following expressions, too:

  red inv-condition(s1, SS) .
  red inv-condition(s2, SS) .
  red inv-condition(s3, SS) .
  red inv-condition(t1, SS) .
  red inv-condition(t2, SS) .
  red inv-condition(t3, SS) .

Unfortunately, in the case of t2 this didn't turn out to be directly possible, and a further case distinction was necessary to complete the proof.

This concludes the presentation of the CloudSync protocol. We described the cloud protocol using a state system and transitions. This is just one way of implementation. There are other approaches to specification using purely term-based expressions that do not use transitions, but equational theory only. One of the strength of CafeOBJ is that it does not require any specific approach to modeling, but allows for freedom in choosing methodology.

Gory Details

This chapter presents all syntactic elements of CafeOBJ as well as several meta-concepts in alphabetic order. Concepts are cross-linked for easy accessibility.

Ctrl-D

Terminates the input and exit from the interpreter.

! <command>

On Unix only, forks a shell and executes the given <command>.

#define <symbol> := <term> .

TODO

**, **>

Starts a comment which extends to the end of the line. With the additional > the comment is displayed while evaluated by the interpreter.

Related: comments, --

--, -->

Starts a comment which extends to the end of the line. With the additional > the comment is displayed while evaluated by the interpreter.

Related: comments, **

.

Input separator

=

The syntax element = introduces an axiom of the equational theory, and is different from == which specifies an equality based on rewriting.

Related: eq, ==

=(n)=>, =(n,m)=>, =()=>

See search predicates

=*=

The predicate for behavioral equivalence, written =*=, is a binary operator defined on each hidden sort.

=/=

Negation of the predicate ==.

Related: ==

==

The predicate == is a binary operator defined for each visible sort and is defined in terms of evaluation. That is, for ground terms t and t' of the same sort, t == t' evaluates to true iff terms reduce to a common term. This is different from the equational = which specifies the equality of the theory.

==>

This binary predicate is defined on each visible sort, and defines the transition relation, which is reflexive, transitive, and closed under operator application. It expresses the fact that two states (terms) are connected via transitions.

Related: search predicates, trans

? [<term>]

Without any argument, shows the brief guide of online help system. With argument gives the reference manual description of term. In addition to this, many commands allow for passing ? as argument to obtain further help.

In case examples are provided for the <term>, they can be displayed using ?ex <term>. In this case the normal help output will also contain an informational message that examples are available.

When called as ?? both documentation and examples are shown.

?apropos <term> [<term> ...]

Searches all available online docs for the terms passed. Terms are separated by white space. Each term is tested independently and all terms have to match. Testing is done either by simple sub-string search, or, if the term looks like a regular expression (Perl style), by regex matching. In case a regex-like term cannot be parsed as regular expression, it is used in normal sub-string search mode.

Note: Fancy quoting with single and double quotes might lead to unexpected problems.

Example

CafeOBJ> ?ap prec oper

will search for all entries that contain both prec and oper as sub-strings. Matching is done as simple sub-string match.

CafeOBJ> ?ap foo att[er]

will search for entries that contain the string foo as well as either the string atte or attr.

?com [ <term> ]

List commands or declarations categorized by the key . is one of 'decl', 'module', 'parse', 'rewrite', 'inspect', 'switch', 'proof', 'system', 'inspect', 'library', 'help', 'io' or 'misc'. If is omitted, the list of available will be printed.

[

Starts a sort declaration. See sort declaration for details.

accept =*= proof switch

accept system's automatic proof of congruency of =*=

all axioms switch

Controls whether axioms from included modules are shown during a show invocation.

Related: show

always memo switch

Turns on memorization of computation also for operators without the memo operator attribute.

Related: operator attributes, memo

:apply (<tactic> ...) [to <goal-name>]

Apply the list of tactics given within parenthesis to either the current goal, or the goal given as <goal-name>.

Related: citp

apply <action> [ <subst> ] <range> <selection>

Applies one of the following actions reduce, exec, print, or a rewrite rule to the term in focus.

reduce, exec, print
the operation acts on the (sub)term specified by <range> and <selection>.
rewrite rule

in this case a rewrite rule spec has to be given in the following form:

[+|-][<mod_name>].<rule-id>

where <mod_name> is the name of a module, and <rule-id> either a number n - in which case the n. equation in the current module is used, or the label of an equation. If the <mod_name> is not given, the equations of the current module are considered. If the leading + or no leading character is given, the equation is applied left-to-right, which with a leading - the equation is applied right-to-left.

The <subst> is of the form

with { <var_name> = <term> } +,

and is used when applying a rewrite rule. In this case the variables in the rule are bound to the given term.

<range> is either within or at. In the former case the action is applied at or inside the (sub)term specified by the following selection. In the later case it means exactly at the (sub)term.

Finally, the <selection> is an expression

<selector> { of <selector> } *

where each <selector> is one of

top, term
Selects the whole term
subterm
Selects the pre-chosen subterm (see choose)
( <number_list> )
A list of numbers separated by blanks as in (2 1) indicates a subterm by tree search. (2 1) means the first argument of the second argument.
[ <number1> .. <number2> ]

This selector can only be used with associative operators. It indicates a subterm in a flattened structure and selects the subterm between and including the two numbers given. [n .. n] can be abbreviated to [n].

Example: If the term is a * b * c * d * e, then the expression [2 .. 4] selects the subterm b * c * d.

{ <number_set> }
This selector can only be used with associative and commutative operators. It indicates a subterm in a multiset structure obtained from selecting the subterms at position given by the numbers.

Example: If the operator _*_ is declared as associative and commutative, and the current term is b * c * d * c * e, then then the expression {2, 4, 5} selects the subterm c * c * e.

Related: start, choose

:auto

Applies the following set of tactics: (SI CA TC IP RD).

Related: citp

auto context switch

Possible values: on or off, default is off.

If this switch is on, the context will automatically switch to the most recent module, i.e., defining a module or inspecting a module's content will switch the current module.

autoload <module-name> <file-name>

When evaluating a and found that it is not yet declared, the system read in then retries the evaluation.

Related: no autoload

ax [ <label-exp> ] <term> = <term> .

(pignose)

axioms { <decls> }

Block enclosing declarations of variables, equations, and transitions. Other statements are not allowed within the axioms block. Optional structuring of the statements in a module.

Related: trans, eq, var, imports, signature

:backward equation|rule

Like :equation and :rule, but exchange the left and right side.

Related: :rule, :equation, :cp, citp

bax [ <label-exp> ] <term> = <term> .

(pignose)

bceq [ <label-exp> ] <term> = <term> if <boolterm> .

Defines a behavioral conditional equation. For details see ceq.

Related: beq, ceq, eq

bcrule [ <label-exp> ] <term> => <term> if <term> .

Synonym of bctrans

Related: bctrans

bctrans [ <label-exp> ] <term> => <term> if <bool> .

Defines a behavioral conditional transition. For details see ctrans.

Related: btrans, ctrans, trans

beq [ <label-exp> ] <term> = <term> .

Defines a behavioral equation. For details see eq.

Related: bceq, ceq, eq

bgoal <term> .

(pignose)

binspect [in <module-name> :] <boolean-term> .

Start an inspection of a Boolean term, that is, and abstracted form of the Boolean term is constructed. The abstracted term is shown (like calling bshow.

Example

CafeOBJ> module BTE { [S]
  preds p1 p2 p3 p4 p5 p6 p7 : S
  ops a b c :  -> S .
}
CafeOBJ> binspect in BTE : (p1(X:S) or p2(X)) and p3(Y:S) or (p4(Y) and p1(Y)) .
...
--> ((p4(Y:S) and p1(Y)) xor ((p3(Y) and p1(X:S)) xor ((p2(X) and (p3(Y) and p1(X))) xor ((p3(Y) and p2(X)) xor ((p3(Y) and (p2(X) and (p4(Y) and p1(Y)))) xor ((p3(Y) and (p2(X) and (p1(X) and (p1(Y) and p4(Y))))) xor (p1(X) and (p3(Y) and (p1(Y) and p4(Y))))))))))
...

:binspect [in <goal-name> :] <boolean-term> .

Used during CITP proofs instead of binspect

bop <op-spec> : <sorts> -> <sort>

Defines a behavioral operator by its domain, co-domain, and the term construct. <sorts> is a space separated list of sort names containing exactly one hidden sort. <sort> is a single sort name.

For <op-spec> see the explanations of op.

Related: op

bpred <op-spec> : <sorts>

Short hand for op <op-spec> : <sorts> -> Bool defining a behavioral predicate.

Related: pred, bop, op

breduce [ in <mod-exp> : ] <term> .

Reduce the given term in the given module, if <mod-exp> is given, otherwise in the current module.

For breduce equations, possibly conditional, possibly behavioral, are taken into account for reduction.

Related: reduce, execute

{bresolve | :bresolve}

Computes all possible variable assignments that render an abstracted term true. The variant with leading colon is for usage during a CITP proof.

Example

CafeOBJ> bresolve

** The following assignment(s) can make the term 'true'.
  (1): { P-5:Bool |-> true, P-4:Bool |-> true, P-3:Bool |-> true, P-2:Bool |-> true, P-1:Bool |-> true }
  (2): { P-5:Bool |-> false, P-4:Bool |-> true, P-3:Bool |-> true, P-2:Bool |-> true, P-1:Bool |-> true }
...

brule [ <label-exp> ] <term> => <term> .

Synonym of btrans.

Related: btrans

{bshow | :bshow} [tree]

Shows the abstracted Boolean term computed by binspect. If the argument tree is given, prints out a the abstracted term in tree form. The variant with leading colon is for usage during a CITP proof.

Example

CafeOBJ> bshow
((P-1:Bool and (P-2:Bool and (P-3:Bool and P-4:Bool))) xor ((P-1 and (P-2 and (P-4 and (P-5:Bool and P-3)))) xor ((P-2 and (P-1 and (P-5 and P-3))) xor ((P-5 and P-3) xor ((P-4 and (P-3 and P-5)) xor ((P-4 and P-3) xor (P-2 and P-1)))))))
where
  P-1:Bool |-> p4(Y:S)
  P-2:Bool |-> p1(Y:S)
  P-3:Bool |-> p3(Y:S)
  P-4:Bool |-> p1(X:S)
  P-5:Bool |-> p2(X:S)

bsort

TODO

btrans [ <label-exp> ] <term> => <term> .

Defines a behavioral transition. For details see trans.

Related: bctrans, ctrans, trans

cbred [ in <mod-exp> :] <term> .

circular coinductive reduction: see Goguen, Lin, Rosu: Circular Coinductive Rewriting (Proceedings of Automated Software Engineering 2000) for details.

cd <dirname>

Change the current working directory, like the Unix counterpart. The argument is necessary. No kind of expansion or substitution is done.

Related: ls, pwd

ceq [ <label-exp> ] <term> = <term> if <boolterm> .

Defines a conditional equation. Spaces around the if are obligatory. <boolterm> needs to be a Boolean term. For other requirements see eq.

Related: bceq, beq, eq

check <options>

This command allows for checking of certain properties of modules and operators.

check regularity <mod_exp>
Checks whether the module given by the module expression <mod_exp> is regular.
check compatibility <mod_exp>
Checks whether term rewriting system of the module given by the module expression <mod_exp> is compatible, i.e., every application of every rewrite rule to every well-formed term results in a well-formed term. (This is not necessarily the case in order-sorted rewriting!)
check laziness <op_name>
Checks whether the given operator can be evaluated lazily. If not <op_name> is given, all operators of the current module are checked.

Related: regularize

check <something> switch

These switches turn on automatic checking of certain properties:

check coherency
check whether transitions and equations are coherent
check compatibility
see the check command
check import
check conflicting importing mode of submodules
check regularity
see the check command
check sensible
check whether a signature is sensible

choose <selection>

Chooses a subterm by the given <selection>. See apply for details on <selection>.

Related: strat in operator attributes, start, apply

CITP

Constructor Based Induction Theorem Prover

The sub-system provides a certain level of automatization for theorem proving.

Please see the accompanying manual for CITP for details.

Related: :imp, :def, :ctf-, :ctf, :csp-, :csp, :red, :select, :backward, :rule, :equation, :cp, :init, :roll, :auto, :ind, :apply, :goal

clause <term> .

(pignose)

clean memo

Resets (clears) the memo storage of the system. Memorized computations are forgotten.

Related: clean memo switch

clean memo switch

Possible values: on, off, default off.

tells the system to be forgetful.

close

This command closes a modification of a module started by open.

Related: open

commands

Print outs the list of main toplevel commands.

comments

The interpreter accepts the following strings as start of a comment that extends to the end of the line: --, -->, **, **>.

The difference in the variants with > is that the comment is displayed when run through the interpreter.

Related: --, **

cond limit switch

TODO

cont

In step mode, continues the reduction until a stop pattern has been found.

:cp { "[" <label> "]" | "(" <sentence> . ")" } >< { "[" <label> "]" | "(" <sentence> .")" }

Computes the critical pair of the two given equations. Here either a label or a full equation can be used to specify the equations.

Related: citp

Example

:cp (ceq top(sq(S@Sys)) = I@Pid if pc(S@Sys,I@Pid) = cs .)
><
(ceq top(sq(S@Sys)) = J@Pid if pc(S@Sys,J@Pid) = cs .)

crule [ <label-exp> ] <term> => <term> if <term> .

Synonym of ctrans

Related: rule, ctrans

:csp { eq [ <label-exp>] <term> = <term> . ...}

Applies case splitting after a set of equations. Each of these equations creates one new sub-goal with the equation added.

The system does not check whether given set of equations exhausts all possible values.

Not discharged sub-goals will remain in the reduced form.

Related: :csp-, citp

:csp- { eq [ <label-exp>] <term> = <term> . ...}

Like :csp, but if sub-goals are not discharged, the CITP prover returns to the original state before the reduce action.

Related: :csp, citp

:ctf { eq [ <label-exp> ] <term> = <term> .}

Applies case splitting after a set of boolean expressions. Not discharged sub-goals will remain in the reduced form.

Related: :ctf-, citp

:ctf- { eq [ <label-exp> ] <term> = <term> .}

Like :ctf, but if sub-goals are not discharged, the CITP prover returns to the original state before the reduce action.

Related: :ctf, citp

ctrans [ <label-exp> ] <term> => <term> if <term> .

Defines a conditional transition. For details see trans and ceq.

Related: bctrans, btrans, trans

db reset

(pignose)

:def <symbol> = { <ctf> | <csp>}

Assigns a name to a specific case splitting (ctf or csp), so that it can be used as tactics in :apply.

Related: citp

Example

:def name-1 = ctf [ <Term> . ]
:def name-2 = ctf-{ eq LHS = RHS . }
:def name-3 = csp { eq lhs1 = rhs1 . eq lhs2 = rhs2 . }
:def name-4 = csp-{ eq lhs3 = rhs3 . eq lhs4 = rhs4 . }
:apply(SI TC name-1 name-2 name-3 name-4)

demod

(pignose)

:describe proof

Describes the current proof in more detail.

Related: :show, citp

Example

PNAT> :describe proof
==> root*
    -- context module: #Goal-root
    -- targeted sentences:
      eq [lemma-1]: M:PNat + 0 = M .
      eq [lemma-2]: M:PNat + s N:PNat = s (M + N) .
[si]    1*
    -- context module: #Goal-1
    -- targeted sentences:
      eq [lemma-1]: 0 + 0 = 0 .
      eq [lemma-2]: 0 + s N:PNat = s (0 + N) .
...

describe <something>

Similar to the show command but with more details. Call describe ? for the possible set of invocations.

Related: show

dirs

Displays the current push stack.

Related: popd, pwd, pushd, cd, ls

dribble

TODO

eof

Terminates reading of the current file. Allows for keeping untested code or documentations below the eof mark. Has to be on a line by itself without leading spaces.

eq [ <label-exp> ] <term> = <term> .

Declares an axiom, or equation.

Spaces around the = are necessary to separate the left from the right hand side. The terms given must belong to the same connected component in the graph defined by the sort ordering.

In simple words, the objects determined by the terms must be interpretable as of the same sort.

The optional part <label-exp> serves two purposes, one is to give an axiom an identifier, and one is to modify its behavior. The <label-exp> is of the form:

[ <modifier> <label> ] :

Warning: The square brackets here are not specifying optional components, but syntactical elements. Thus, a labeled axiom can look like:

eq[foobar] : foo = bar .

The <modifier> part is used to change the rewriting behavior of the axiom. There are at the moment two possible modifiers, namely :m-and (:m-and-also) and :m-or (:m-or-else). Both make sense only for operators where the arguments come from an associative sort. In this case both modifiers create all possible permutations of the arguments and rewrite the original term to the conjunction in case of :m-and or to the disjunction in case of :m-or of all the generated terms.

Assume that NatSet is a sort with associative constructor modeling a set of natural number, and let

  pred p1: Nat .
  ops q1 q2 : NatSet -> Bool .
  eq [:m-and]: q1(N1:Nat NS:NatSet) = p1(N1) .
  eq [:m-or]:  q2(N1:Nat NS:NatSet) = p1(N1) .

In this case an expression like q1(1 2 3) would reduce to p1(1) and p1(2) and p1(3) (modulo AC), and q2(1 2 3) into the same term with or instead.

Related: bceq, beq, ceq

:equation

Adds the critical pair computed by the last :cp command as equation to the current goal.

Related: :rule, :cp, citp

exec limit switch

Possible values: integers, default limit 4611686018427387903.

Controls the number of maximal transition steps.

Related: reduce

exec trace switch

Possible values: on off, defaultoff`.

controls whether further output is provided during reductions.

Related: reduce

exec! [ in <mod-exp> : ] <term> .

TODO

execute [ in <mod-exp> : ] <term> .

Reduce the given term in the given module, if <mod-exp> is given, otherwise in the current module.

For execute equations and transitions, possibly conditional, are taken into account for reduction.

Related: reduce, breduce

extending ( <modexp> )

Imports the object specified by modexp into the current module, allowing models to be inflated, but not collapsing. See module expression for format of modexp.

Related: using, protecting, including

find

TODO

find all rules switch

If this switch is on, the apply command will search for applicable rules not only in the set of user-defined equations, but also in those added by the system.

flag(<name>, { on | off })

(pignose)

full reset

Reinitializes the internal state of the system. All supplied modules definitions are lost.

Related: prelude, reset

gendoc <pathname>

generates reference manual from system's on line help documents, and save it to pathname.

:goal { <sentence> . ... }

Define the initial goal for CITP

Related: citp

Example

CafeOBJ> select PNAT .
PNAT> :goal { 
   eq [lemma-1]: M:PNat + 0 = M . 
   eq [lemma-2]: M:PNat + s N:PNat = s( M + N ) . 
}

goal <term> .

(pignose)

:imp "[" <label> "]" by "{" <variable> <- <term>; ..."}"

TODO (future extension)

Related: citp

imports { <import-decl> }

Block enclosing import of other modules (protecting etc). Other statements are not allowed within the imports block. Optional structuring of the statements in a module.

Related: using, protecting, including, extending, axioms, signature

include BOOL switch

Possible values: on off, default on.

By default a couple of built-in modules are implicitly imported with protecting mode. In particular, BOOL is of practical importance. It defines Boolean operators. It is imported to admit conditional axioms.

This switch allows to disable automatic inclusion of BOOL.

include RWL switch

Possible values: on off, default off.

This switch allows to disable automatic inclusion of RWL.

including ( <modexp> )

Imports the object specified by modexp into the current module.

See module expression for format of modexp.

Related: module expression, using, protecting, extending

:ind on <variable> ... .

Defines the variable for the induction tactic of CITP.

Related: citp

Example

:ind on (M:PNat)

:init { "[" <label> "]" | "(" <sentence> "")} by "{" <variable> <- <term>; ... "}"

Instantiates an equation specified by <label> by replacing the <variable>s in the equation with the respective <term>s. The resulting equation is added to the set of axioms.

Related: citp

input <pathname>

Requests the system to read the file specified by the pathname. The file itself may contain input commands. CafeOBJ reads the file up to the end, or until it encounters a line that only contains (the literal) eof.

inspect <term>

Inspect the internal structure of <term>.

instantiation of parameterized modules

Parameterized modules allow for instantiation. The process of instantiation binds actual parameters to formal parameters. The result of an instantiation is a new module, obtained by replacing occurrences of parameter sorts and operators by their actual counterparts. If, as a result of instantiation, a module is imported twice, it is assumed to be imported once and shared throughout.

Instantiation is done by

<module_name> ( <bindings> )

where <module_name> is the name of a parameterized module, and <bindings> is a comma-separated list of binding constructs.

using declared views

you may bind an already declared view to a parameter:

<parameter> <= <view_name>

If a module M has a parameter X :: T and a view V from T to M' is declared, V may be bound to X, with the effect that

  1. The sort and operator names of T that appear in the body of M are replaced by those in M', in accordance with V,

  2. The common submodules of M and M' are shared.

using ephemeral views

In this case the view is declared and used at the same time.

<parameter> <= view to <mod_name> { <view_elements> }

See view for details concerning <view_elements>. The from parameter in the view declaration is taken from <parameter>.

To make notation more succinct, parameters can be identified also by position instead of names as in

<mod_name> ( <view_name>, <view_name> )

which would bind the <view_name>s to the respective parameters of the parameterized module <mod_name>.

This can be combined with the ephemeral definition of a view like in the following example (assume ILIST has two parameters):

module NAT-ILIST {
  protecting ( ILIST(SIMPLE-NAT { sort Elt -> Nat },
                     DATATYPE   { sort Elt -> Data }) )
}

:is

Boolean expression: A :is B where A is a term and B is a sort. Returns true if A is of sort B.

let <identifier> = <term> .

Using let one can define aliases, or context variables. Bindings are local to the current module. Variable defined with let can be used in various commands like reduce and parse.

Although let defined variable behave very similar to syntactic shorthands, they are not. The right hand side <term> needs to be a fully parsable expression.

lex (<op>, ..., <op>)

(pignose)

libpath switch

Possible values: list of strings.

The switch libpath contains a list of directories where CafeOBJ searches for include files. Addition and removal of directories can be done with

set libpath + <path1>:<path2>:...
set libpath - <path1>:<path2>:...

or the full libpath reset by set libpath <path1>:<path2>:...

The current directory has a privileged status: It is always searched first and cannot be suppressed.

lisp

Evaluates the following lisp expression.

Example

CafeOBJ> lisp (+ 4 5)
(+ 4 5) -> 9

lispq

Evaluates the following lisp expression, but does not display the result (q for quiet).

list { axiom | sos | usable | flag | param | option | demod }

(pignose)

look up <something>

displays the location (module) and further information where <something> has been defined.

Example

open INT .
%INT> look up Nat .

Nat
  - sort declared in NAT-VALUE
  - operator:
    op Nat : -> SortId { constr prec: 0 }
    -- declared in module NAT-VALUE

%INT>

ls <pathname>

lists the given pathname. Argument is obligatory.

Related: pwd, cd

make <mod_name> ( <mod_exp> )

This commands defines a new module <mod_name> by evaluating the module expression <mod_exp>.

Related: module expression

match <term_spec> to <pattern> .

Matches the term denoted by <term_spec> to the pattern. <term_spec> is either top or term for the term set by the start command; subterm for the term selected by the choose command; it has the same meaning as subterm if choose was used, otherwise the same meaning as top, or a normal term expression.

The given <pattern> is either rules, -rules, +rules, one of these three prefixed by all, or a term. If one of the rules are given, all the rules where the left side (for +rules), the right side (for -rules), or any side (for rules) matches. If the all (with separating space) is given all rules in the current context, including those declared in built-in modules, are inspected.

If a term is given, then the two terms are matched, and if successful, the matching substitution is printed.

memo switch

controls the memorization of computations. The system memorizes evaluations of operators declared with the memo operator attribute. Turning this switch off disables all memorization.

[sys:]module[!|*] <modname> [ ( <params> ) ] [ <principal_sort_spec> ] { mod_elements ... }

Defines a module, the basic building block of CafeOBJ. Possible elements are declarations of

  • import - see protecting, extending, including, using
  • sorts - see sort declaration
  • variable - see var
  • equation - see op, eq, ceq, bop, beq, bceq
  • transition - see trans, ctrans, btrans, bctrans

modname is an arbitrary string.

module* introduces a loose semantic based module.

module! introduces a strict semantic based module.

module introduces a module without specified semantic type.

If params are given, it is a parameterized module. See parameterized module for more details.

If principal_sort_spec is given, it has to be of the form principal-sort <sortname> (or p-sort <sortname>). The principal sort of the module is specified, which allows more concise views from single-sort modules as the sort mapping needs not be given.

module expression

In various syntax elements not only module names itself, but whole module expressions can appear. A typical example is

open <mod_exp> .

which opens a module expression. The following constructs are supported:

module name
using the name of a module
renaming

<mod_exp> * { <mappings> }

This expressions describes a new module where sort and/or operators are renamed. <mappings> are like in the case of view a comma separated list of mappings of either sorts (sort and hsort) or operators (op and bop). Source names may be qualified, while target names are not, they are required to be new names. Renaming is often used in combination with instantiation.

summation

<mod_exp> + <mod_exp>

This expression describes a module consisting of all the module elements of the summands. If a submodule is imported more than once, it is assumed to be shared.

names <mod-exp> .

List up all the named objects in module .

no autoload <module-name>

Stop autoload of module with the name . Please refer to autoload command.

Related: autoload

:normalize { on | off}

Normalize the LHS of an instance of the axiom generated by :init command.

Related: citp

on-the-fly declarations

Variables and constants can be declared on-the-fly (or inline). If an equation contains a qualified variable (see qualified term), i.e., <name>:<sort-name>, then from this point on within the current equation only <name> is declared as a variable of sort <sort-name>.

It is allowed to redeclare a previously defined variable name via an on-the-fly declaration, but as mentioned above, not via an explicit redeclaration.

Using a predeclared variable name within an equation first as is, that is as the predeclared variable, and later on in the same equation with an on-the-fly declaration is forbidden. That is, under the assumption that A has been declared beforehand, the following equation is not valid:

eq foo(A, A:S) = A .

On-the-fly declaration of constants are done the same way, where the <name> is a constant name as in `a:Nat. Using this construct is similar to defining an operator

op <name> : -> <sort>

or in the above example, op a : -> Nat ., besides that the on-the-fly declaration of constants, like to one of variables, is only valid in the current context (i.e., term or axiom). These constant definitions are quite common in proof scores.

Related: var

op <op-spec> : <sorts> -> <sort> { <attribute-list> }

Defines an operator by its domain, co-domain, and the term construct. <sorts> is a space separated list of sort names, <sort> is a single sort name. <op-spec> can be of the following forms:

prefix-spec

the <op-spec> does not contain a literal _: This defines a normal prefix operator with domain <sorts> and co-domain <sort>

Example: op f : S T -> U mixfix-spec

the <op-spec> contains exactly as many literal _ as there are sort names in <sorts>: This defines an arbitrary mixfix (including postfix) operator where the arguments are inserted into the positions designated by the underbars.

Example: op _+_ : S S -> S

For the description of <attribute-list> see the entry for operator attributes.

open <mod_exp> .

This command opens the module specified by the module expression <mod_exp> and allows for declaration of new sorts, operators, etc.

Related: select, module expression, close

operator attributes

In the specification of an operator using the op (and related) keyword, attributes of the operator can be specified. An <attribute-list> is a space-separate list of single attribute definitions. Currently the following attributes are supported

associative
specifies an associative operator, alias assoc
commutative
specifies a commutative operator, alias comm
itempotence
specifies an idempotent operator, alias idem
id: <const>
specifies that an identity of the operator exists and that it is <const>
prec: <int>
specifies the parsing precedence of the operator, an integer . Smaller precedence values designate stronger binding. See operator precedence for details of the predefined operator precedence values.
l-assoc and r-assoc
specifies that the operator is left-associative or right-associative
constr
specifies that the operator is a constructor of the coarity sort. (not evaluated at the moment)
strat: ( <int-list> )

specifies the evaluation strategy. Each integer in the list refers to an argument of the operator, where 0 refers to the whole term, 1 for the first argument, etc. Evaluation proceeds in order of the <int-list>. Example:

op if_then_else_fi : Bool Int Int -> Int { strat: (1 0) }

In this case the first argument (the Boolean term) is tried to be evaluated, and depending on that either the second or third. But if the first (Boolean) argument cannot be evaluated, no evaluation in the subterms will appear.

Using negative values allows for lazy evaluation of the corresponding arguments.

memo
tells the system to remember the results of evaluations where the operator appeared. See memo switch for details.

Remarks:

  • Several operators of the same arity/coarity can be defined by using ops instead of op:

    ops f g : S -> S

    For the case of mixfix operators the underbars have to be given and the expression surrounded by parenthesis:

    ops (_+_) (_*_) : S S -> S

  • Spaces can be part of the operator name, thus an operator definition of op foo op : S -> S is valid, but not advisable, as parsing needs hints.

  • A single underbar cannot be an operator name.

Related: bop

operator precedence

CafeOBJ allows for complete freedom of syntax, in particular infix operators and overloading. To correctly parse terms that are ambiguous, all operators have precedence values. These values can be adjusted manually during definition of the operator (see operator attributes). In absence of manual specification of the operator precedence, the values are determined by the following rules:

  • standard prefix operators, i.e., those of the form op f : S1 .. Sk -> S, receive operator precedence value 0.
  • unary operators, i.e., those of the form op u_ : S1 -> S, receive precedence 15.
  • mix-fix operators with first and last token being arguments, i.e., those of the form op _ arg-or-op _ : S1 .. Sk -> S, receive precedence 41.
  • all other operators (constants, operators of the form a _ b, etc.) receive precedence 0.

Related: operator attributes

option { reset | = <name> }

(pignose)

param(<name>, <value>)

(pignose)

parameterized module

A module with a parameter list (see module) is a parameterized module. Parameters are given as a comma (,) separated list. Each parameter is of the form [ <import_mode> ] <param_name> :: <module_name> (spaces around :: are obligatory).

The parameter's module gives minimal requirements on the module instantiation.

Within the module declaration sorts and operators of the parameter are qualified with .<parameter_name> as seen in the example below.

Related: qualified sort

Example

mod* C {
  [A]
  op add : A A -> A .
}
mod! TWICE(X :: C) {
  op twice : A.X -> A.X .
  eq twice(E:A.X) = add.X(E,E) .
}

parse [ in <mod-exp> : ] <term> .

Tries to parse the given term within the module specified by the module expression <mod-exp>, or the current module if not given, and returns the parsed and qualified term.

In case of ambiguous terms, i.e., different possible parse trees, the command will prompt for one of the trees.

Related: qualified term

parse normalize switch

TODO

popd

Changes the current working directory to the last on on the push stack.

Related: dirs, pwd, pushd, cd, ls

pred <op-spec> : <sorts>

Short hand for op <op-spec> : <sorts> -> Bool defining a predicate.

Related: bpred, op

prelude <file>

Loads the given <file> as prelude. That is, a call to reset will reset the definitions made in this file.

Related: full reset, reset

print depth switch

Possible values: natural numbers, default unlimited.

Controls to which depth terms are printed.

print mode switch

Possible values: normal fancy tree s-expr

Selects one of the print modes.

print trs switch

Possible values: on off, default off

If set to on, print the rules used during reduction of =(_,_)=>+_if_suchThat_{_}.

Related: search predicates

protect <module-name>

Protect a module from being overwritten. Some modules vital for the system are initially protected. Can be reversed with unprotect.

Related: unprotect

protecting ( <modexp> )

Imports the object specified by modexp into the current module, preserving all intended models as they are. See module expression for format of modexp.

Related: including, using, extending

provide <feature>

Discharges a feature requirement: once provided, all the subsequent requirements of a feature are assumed to have been fulfilled already.

Related: require

pushd <directory>

Changes the working directory to <directory>, and puts the current directory onto the push stack. Going back can be done with pop.

Related: dirs, pwd, popd, cd, ls

pvar <var-name> : <sort-name>

(pignose)

Related: vars, var

pwd

Prints the current working directory.

Related: dirs, popd, pushd, ls, cd

qualified sort/operator/parameter

CafeOBJ allows for using the same name for different sorts, operators, and parameters. One example is declaring the same sort in different modules. In case it is necessary to qualify the sort, operator, or parameter, the intended module name can be affixed after a literal .: <name>.<modname>

Example: In case the same sort Nat is declared in both the module SIMPLE-NAT and PANAT, one can use Nat.SIMPLE-NAT to reference the sort from the former module.

Furthermore, a similar case can arise when operators of the same name have been declared with different number of arguments. During operator renaming (see view) the need for qualification of the number of parameters might arise. In this case the number can be specified after an affixed /: <opname>/<argnr>

Related: qualified term, parameterized module

qualified term

In case that a term can be parsed into different sort, it is possible to qualify the term to one of the possible sorts by affixing it with : <sort-name> (spaces before and after the : are optional).

Related: parse

Example

(1):NzNat (2):Nat

quiet switch

Possible values: on off, default off

If set to on, the system only issues error messages.

Related: verbose

quit

Leaves the CafeOBJ interpreter.

{ :red | :exec | :bred } [in <goal-name> :] <term> .

reduce the term in specified goal .

Related: citp

reduce [ in <mod-exp> : ] <term> .

Reduce the given term in the given module, if <mod-exp> is given, otherwise in the current module.

For reduce only equations and conditional equations are taken into account for reduction.

Related: breduce, execute

reduce conditions switch

Possible values: on off, default off.

When using apply to step through a reduction, this switch allows to turn on automatic reduction of conditions in conditional equations.

Related: apply

regularize <mod-name>

Regularizes the signature of the given module, ensuring that every term has exactly one minimal parse tree. In this process additional sorts are generated to ensure unique least sort of all terms.

Modules can be automatically regularized by the interpreter if the regularize signature switch is turn to on.

regularize signature switch

See `regularize

require <feature> [ <pathname> ]

Requires a feature, which usually denotes a set of module definitions. Given this command, the system searches for a file named the feature, and read the file if found. If the <feature> contains ::, they are treated as path separators.

If a pathname is given, the system searches for a file named the pathname instead.

Related: provide

Example

CafeOBJ> require foo::bar

would search for foo/bar.cafe in the pathes from libpath

reset

Restores the definitions of built-in modules and preludes, but does not affect other modules.

Related: prelude, full reset

resolve {. | <file-path> }

(pignose)

restore <pathname>

Restores module definitions from the designated file pathname which has been saved with the save command. input can also be used but the effects might be different.

TODO -- should we keep the different effects? What is the real difference?

Related: save-system, save, input

rewrite limit switch

Possible values: positive integers, default not specified.

Allows limiting the number of rewrite steps during a step-wise execution.

Related: step switch

:roll back

Reverts the strategy that led to the current target goal. The current target goal is removed from the proof tree.

Related: citp

:rule

Adds the critical pair computed by the last :cp command as rule to the current goal.

Related: :equation, :cp, citp

rule [ <label-exp> ] <term> => <term> .

Synonym of trans.

Related: trans

save <pathname>

Saves module definitions into the designated file pathname. File names should be suffixed with .bin.

save also saves the contents of prelude files as well as module definitions given in the current session.

Related: save-system, restore, input

save-option <name>

(pignose)

save-system <pathname>

Dumps the image of the whole system into a file. This is functionality provided by the underlying Common Lisp system and might carry some restrictions.

Related: restore, save, input

scase (<term>) in (<mod-exp>) as <name> { <decl> ..} : <term> .

TODO

search predicates

CafeOBJ provides a whole set of search predicates, that searches the reachable states starting from a given state, optionally checking additional conditions. All of them based on the following three basic ones:

  • S =(n,m)=>* SS [if Pred] search states reachable by 0 or more transitions;
  • S =(n,m)=>+ SS [if Pred] search states reachable by 1 or more transitions;
  • S =(n,m)=>! SS [if Pred] search states reachable by 0 or more transitions, and require that the reached state is a final state, i.e., no further transitions can be applied.

To allow for conditional transitions, a transition is only considered in the search if Pred holds.

The parameters n and m in these search predicates:

  • n, a natural number or *, gives the maximal number of solutions to be searched. If * is given all solutions are searched exhaustively.
  • m, a natural number but not *, gives the maximal depth up to which search is performed.

The predicates return true if there is a (chain of) transitions that fits the parameters (n,m, and *, +, !) and connects S with SS.

There are two orthogonal extension to this search predicate, one adds a suchThat clause, one adds a withStateEq clause.

S =(n,m)=>* SS [if Pred1] suchThat Pred2
(and similar for ! and +) In this case not only the existence, of a transition sequence is tested, but also whether the predicate Pred2, which normally takes S and SS as arguments, holds.
S =(n,m)=>* SS [if Pred1] withStateEq Pred2
(and similar for ! and +) Pred2 is used to determine whether a search continues at SS or not, by comparing SS with all states that have been traversed in the current search. If the predicate Pred2 returns true on the combination of SS as first argument, and any of the previously visited states as second argument, then the search is not continued after SS. (This is a kind of loop detection.)

These two cases can also be combined into

S =(n,m)=>* SS [if Pred1] suchThat Pred2 withStateEq Pred3

:select <goal-name>

Select a goal for further application of tactics.

Related: citp

select <mod_exp> .

Selects a module given by the module expression <mod_exp> as the current module. All further operations are carried out within the given module. In contrast to open this does not allow for modification of the module, e.g., addition of new sorts etc.

Related: module expression, open

:set(<name>, { on | off | show })

Set or show various flags of CITP CafeOBJ.

Related: citp

set <name> [option] <value>

Depending on the type of the switch, options and value specification varies. Possible value types for switches are Boolean (on, off), string ("value"), integers (5434443), lists (lisp syntax).

For a list of all available switches, use set ?. To see the current values, use show switches. To single out two general purpose switches, verbose and quiet tell the system to behave in the respective way.

Related: switches, show

:show goal|unproved|proof

Shows the current goal, the up-to-now unproven (sub-)goals, and the current proof.

Related: :describe, citp

Example

PNAT> :show proof 
root*
[si]  1*
[ca]  1-1*
[ca]  1-2*
[tc]  1-2-1*
[si]  2*
[ca]  2-1*
[ca]  2-2*
[tc]  2-2-1*
PNAT>

show <something>

The show command provides various ways to inspect all kind of objects of the CafeOBJ language. For a full list call show ?.

Some of the more important (but far from complete list) ways to call the show command are:

  • show [ <modexp> ] - describes the current modules of the one specified as argument
  • show module tree [ <modexp> ] - displays submodules of in tree format
  • show switches - lists all possible switches
  • show term [ tree ] - displays a term, possible in tree format

See the entry for switches for a full list.

Related: describe, switches

show mode switch

Possible values for set show mode <mode> are cafeobj and meta.

sigmatch (<mod-exp>) to (<mod-exp>)

(pignose)

signature { <sig-decl> }

Block enclosing declarations of sorts and operators. Other statements are not allowed within the signature block. Optional structuring of the statements in a module.

Related: op, sort, imports, axioms

sort declaration

CafeOBJ supports two kind of sorts, visible and hidden sorts. Visible sorts are introduced between [ and ], while hidden sorts are introduced between *[ and ]*.

  [ Nat ]
  *[ Obs ]*

Several sorts can be declared at the same time, as in [ Nat Int ].

Since CafeOBJ is based on order sorting, sorts can form a partial order. Definition of the partial order can be interleaved by giving

  [ <sorts> < <sorts> ]

Where sorts is a list of sort names. This declaration defines an inclusion relation between each pair or left and right sorts.

Example

  [ A B , C D < A < E, B < D ]

defines five sorts A,...,E, with the following relations: C < A, D < A, A < E, B < D.

sos { = | + | - } { <clause> , ... }

(pignose)

:spoiler { on | off}

If the spoiler flag is on, after a strategy other than RD and SI has been applied, the generated sub-goals are automatically checked for provability using the RD strategy. Defaults to off.

Related: citp

start <term> .

Sets the focus onto the given term <term> of the currently opened module or context. Commands like apply, choose, or match will then operate on this term.

Related: match, choose, apply

statistics switch

Possible values: on off, default on.

After each reduction details about the reduction are shown. Information shown are the time for parsing the expression, the number of rewrites and run time during rewriting, and the number of total matches performed during the reduce.

step switch

Possible values: on off, default off.

With this switch turned on, rewriting proceeds in steps and prompts the user interactively. At each prompt the following commands can be given to the stepper (with our without leading colon :):

help
(h, ?) print out help page next
(n) go one step continue
(c) continue rewriting without stepping quit
(q) leave stepper continuing rewrite abort
(a) abort rewriting rule
(r) print out current rewrite rule subst
(s) print out substitution limit
(l) print out rewrite limit count pattern
(p) print out stop pattern stop [<term>] .
set (or unset) stop pattern rwt [<number>] .
set (or unset) max number of rewrite

Other standard CafeOBJ commands that can be used are show, describe, dirs, set, cd, ls, pwd, pushd, popd, lisp, lispq, and (on Unix only) !.

stop

Equivalent to stop pattern switch

stop pattern switch

In step mode, this command causes reductions to stop when the reductants get to containing subterms that match the given term. If no term is given, this restriction is lifted.

Related: step switch

Example

CafeOBJ> open NAT .
%NAT> set step on .
%NAT> set stop pattern s 2 .
%NAT> red s s s s s s s s s 0 .
>> target: (s 0)
STEP[1]? c
>> term matches to stop pattern: (s 2)
<< will stop rewriting
>> stop because matches stop pattern.
>> target: (s 2)
STEP[3]? c
(9):NzNat

switches

Switches control various aspects of the computations and behavior of CafeOBJ. The current list of switches and their values can be shown with

show switches

The single switches are described separately in this manual.

Related: show, set

trace [whole] switch

During evaluation, it is sometimes desirable to see the rewrite sequences, not just the results. Setting the switch trace whole will result in the resultant term of each rewrite step being printed. Setting the switch trace will result in the display of which rule, substitution, and replacement are used.

trans [ <label-exp> ] <term> => <term> .

Defines a transition, which is like an equation but without symmetry.

See eq for specification of requirements on <label-exp> and the terms.

Transitions and equations server similar, but different purpose. In particular, reductions (both with or without behavior axioms used) do not take transitions into account. Only exec also uses transitions. On the other hand, the built-in search predicate searches all possible transitions from a given term.

unprotect <module-name>

Remove overwrite protection from a module that has been protected with the protect call. Some modules vital for the system are initially protected.

Related: protect

using ( <modexp> )

Imports the object specified by modexp into the current module without any restrictions on the models. See module expression for format of modexp.

Related: protecting, including, extending

var <var-name> : <sort-name>

Declares a variable <var-name> to be of sort <sort-name>. The scope of the variable is the current module. Redeclarations of variable names are not allowed. Several variable of the same sort can be declared at the same time using the vars construct:

vars <var-name> ... : <sort-name>

Related: on-the-fly, qualified term, op

:verbose { on | off }

Turns on verbose reporting of the CITP subsystem.

Related: citp

verbose switch

Possible values: on off, default off.

If turn on, the system is much more verbose in many commands.

Related: quiet switch

version

Prints out the version of CafeOBJ.

view <name> from <modname> to <modname> { <viewelems> }

A view specifies ways to bind actual parameters to formal parameters (see parameterized module). The view has to specify the mapping of the sorts as well as the operators.

The <viewelems> is a comma-separated list of expressions specifying these mappings:

sort <sortname> -> <sortname>
hsort <sortname> -> <sortname>
op <opname> -> <opname>
bop <opname> -> <opname>

and also can contain variable declarations.

Infix operators are represented as terms containing the operator with either literal underscores _, or variables: _*_ or X * Y. The <opname> can be qualified.

In specifying views some rules can be omitted:

  1. If the source and target modules have common submodules, all the sorts and modules declared therein are assumed to be mapped to themselves;

  2. If the source and target modules have sorts and/or operators with identical names, they are mapped to their respective counterparts;

  3. If the source module has a single sort and the target has a principal sort, the single sort is mapped to the principal sort.

Example

Assume a module MONOID with sort M and ops e and * are given, and another SIMPLE-NAT with sort Nat and operators 0 and + (with the same arity). Then the following expression constitutes a view:

view NAT-AS-MONOID from MONOID to SIMPLE-NAT {
  sort M -> Nat,
  op   e -> 0,
  op _*_ -> _+_
}
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Comput. Sci.}, issue_date = {December, 2012}, volume = {464}, month = dec, year = {2012}, issn = {0304-3975}, pages = {90--112}, numpages = {23}, url = {http://dx.doi.org/10.1016/j.tcs.2012.07.041}, doi = {10.1016/j.tcs.2012.07.041}, acmid = {2397950}, publisher = {Elsevier Science Publishers Ltd.}, address = {Essex, UK}, keywords = {Algebraic specifications, CafeOBJ, Proof scores, Term rewriting, Theorem proving}, } cafeobj-1.5.4/doc/citp-manual/citp.bbl0000644000000000000000000000040512605345045016212 0ustar rootroot\begin{thebibliography}{1} \bibitem{Futatsugi:2012:PPS:2397725.2397950} Kokichi Futatsugi, Daniel Gin, and Kazuhiro Ogata. \newblock Principles of proof scores in cafeobj. \newblock {\em Theor. Comput. 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\def\@but{\noalign{\nointerlineskip}} \def\alt{{\;|\;}} \def\seqof#1{\mbox{\textbf{\{}}\;{#1}\;\mbox{\textbf{\}}}} \def\optn#1{\textbf{[}\;{#1}\;\textbf{]}} \def\synindent{\;\;\;} %%%% \def\SP{\mathit{SP}} \def\PR{\mathtt{PR}} \def\Sig{\mathbb{S}\mathit{ig}} \def\tr{\mathtt{true}} \def\fs{\mathtt{false}} \makeatother %%% %%%% numbering %%% ToC down to susubsections \settocdepth{subsubsection} %%% Numbering down to sections \setsecnumdepth{subsection} %%% åå‰å®šç¾©ã‚’é©å½“ã« \def\figurename{{図}} \def\tablename{表} \def\contentsname{目次} \def\listfigurename{図目次} \def\listtablename{表目次} \def\refname{å‚考文献} \def\bibname{å‚考文献} \def\indexname{索引} \def\appendixname{付録} %%%%%%%%%% Verbatim \DefineVerbatimEnvironment% {simplev}{Verbatim} {fontsize=\small} \DefineVerbatimEnvironment% {examplev}{Verbatim} {frame=leftline,fontsize=\small} %%%%%%%%%% \definecolor{shadecolor}{gray}{0.9} \newenvironment{vvtm}% {\parskip=0pt\lineskip=0pt\begin{center}\begin{minipage}{0.8\textwidth}\begin{snugshade}}% {\end{snugshade}\end{minipage}\end{center}} %%% \usepackage{float} \begin{document} \headstyles{default} \tightlists %\midsloppy \sloppy \raggedbottom \chapterstyle{ell} %%%%%%%% \frontmatter \pagestyle{empty} % 表紙 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \title{CITP for CafeOBJ \\ ver. 1.0} \vfill \author{澤田 寿実\\ (æ ª) 考作舎\\ tswd@kosakusha.com} \date{2015/10/1} \maketitle \vfill \begin{center} \includegraphics[scale=0.2]{kosakusha2_gray.pdf} \end{center} \vfill \thispagestyle{empty} \newpage %%%%%% \mainmatter \pagestyle{plain} \pagenumbering{arabic} % æ§‹æˆ %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \tableofcontents \EnableBpAbbreviations \newpage \chapter{用語}\label{sec:terms} 本書ã¯è¨¼æ˜Žè«–ã«ã¤ã„ã¦åŸºç¤Žçš„ãªçŸ¥è­˜ã‚’æŒã¤ CafeOBJ ユーザーを対象ã¨ã—ãŸï¼Œ CITP for CafeOBJ ã¨å‘¼ã°ã‚Œã‚‹è¨¼æ˜Žè­œæ”¯æ´ã‚·ã‚¹ãƒ†ãƒ ã®åˆ©ç”¨ã‚¬ã‚¤ãƒ‰ã§ã‚る． 本書ã§è¨˜è¿°ã™ã‚‹ CITP for CafeOBJ ã®æ©Ÿèƒ½ã¯ version 1.5.4 以é™ã® CafeOBJ システムã§åˆ©ç”¨å¯èƒ½ã§ã‚ã‚‹\footnote{最新版㮠CafeOBJ システム㯠http://cafeobj.org/download/ ã‹ã‚‰ãƒ€ã‚¦ãƒ³ãƒ­ãƒ¼ãƒ‰å¯èƒ½ã§ã‚ã‚‹)}． 表\ref{table:terms}ã«ä»¥ä¸‹ã§ä½¿ç”¨ã™ã‚‹ã„ãã¤ã‹ã®ç”¨èªžã®å®šç¾©ã‚’示ã™ï¼Ž \begin{table} \caption{用語ã®å®šç¾©} \label{table:terms} \begin{center} \begin{tabular}[htb]{|l|p{0.6\textwidth}|}\hline 用語 & 定義 \\\hline\hline æ–‡(sentence) & 自由変数をå«ã¾ãªã„(æ¡ä»¶ä»˜ã)ç­‰å¼($t = t' if C$) ã‚ã‚‹ã„ã¯ã€(æ¡ä»¶ä»˜ã)é·ç§»è¦å‰‡ ($t \Rightarrow t'$)． CafeOBJ ã®ç­‰å¼å®£è¨€ã‚„é·ç§»è¦å‰‡å®£è¨€ã®ãƒ•ã‚©ãƒ¼ãƒ ã§è¡¨è¨˜ã™ã‚‹ï¼Ž \\\hline 文脈(context) & 証明を実施ã™ã‚‹ãƒ¢ã‚¸ãƒ¥ãƒ¼ãƒ«ï¼ŽCafeOBJ ã§æä¾›ã•ã‚Œã¦ã„るコマンドã«ã¯ï¼Œ ã‚る特定ã®ãƒ¢ã‚¸ãƒ¥ãƒ¼ãƒ«ã‚’対象ã¨ã—ãŸã‚³ãƒžãƒ³ãƒ‰ãŒå¤šæ•°å­˜åœ¨ã™ã‚‹ï¼Ž CITP for CafeOBJ ã§æä¾›ã•ã‚Œã‚‹ã‚³ãƒžãƒ³ãƒ‰ã‚‚多ããŒãã†ã§ã‚り， ãれらã®ã‚³ãƒžãƒ³ãƒ‰ã‚’使ã†éš›ã«ï¼Œä¸€ã€…対象ã¨ã™ã‚‹ãƒ¢ã‚¸ãƒ¥ãƒ¼ãƒ«ã‚’指定ã™ã‚‹ã®ã¯ç…©ã‚ã—ã„ãŸã‚ã«% å°Žå…¥ã•ã‚ŒãŸã®ãŒ\textbf{文脈}ã¨ã„ã†æ¦‚念ã§ã‚る． 文脈㯠``select'' ã‚„ ``open'' コマンドã«ã‚ˆã£ã¦è¨­å®šã•ã‚Œï¼Œ モジュールをパラメータã¨ã—ã¦æŒã¤ã‚³ãƒžãƒ³ãƒ‰ã®é©ç”¨å…ˆã‚’暗黙的ã«æŒ‡å®šã—ãŸ--ã¤ã¾ã‚Šãƒ‘ラメータをçœç•¥ã—ãŸéš›ã«é©ç”¨å…ˆã¨ã—ã¦% 採用ã•ã‚Œã‚‹ãƒ¢ã‚¸ãƒ¥ãƒ¼ãƒ«--ã¨ãªã‚‹ï¼Ž \\\hline ゴール(goal) & å››ã¤çµ„ $$． 文脈($M$)ã¨ãã“ã§è¨¼æ˜Žã—ãŸã„æ–‡ã®é›†åˆ($G$)， 証明ã«éš›ã—ã¦ä½¿ç”¨ã—ãŸæˆ¦ç•¥(tactic)ã«ã‚ˆã‚Šå°Žå…¥ã•ã‚ŒãŸå®šæ•°(constants)ã®é›†åˆ($C$)㨠仮定(hypothesis)$H$(æ–‡ã®é›†åˆ)．å˜ã«è¨¼æ˜Žå¯¾è±¡ã¨ã™ã‚‹æ–‡(ã®é›†åˆ)をゴールã¨å‘¼ã¶ã“ã¨ãŒã‚る．\\\hline 戦略(tactic) & 証明ã§ç”¨ã„る演繹è¦å‰‡ãŠã‚ˆã³ãれらを組ã¿åˆã‚ã›ãŸã‚‚ã®ã‚’戦略(tactic)ã¨å‘¼ã¶ï¼Ž\\\hline 基底項(ground term) & 変数をå«ã¾ãªã„é …. \\\hline \end{tabular} \end{center} \end{table} \chapter{CITP for CafeOBJ ã®ã‚³ãƒžãƒ³ãƒ‰}\label{chap:new-commands} 本章ã§ã¯ CITP for CafeOBJ ã§æä¾›ã•ã‚Œã‚‹ã‚³ãƒžãƒ³ãƒ‰ã®æŒ™å‹•ã«ã¤ã„ã¦è¿°ã¹ã‚‹ï¼Ž 厳密ãªå‹•ä½œã®ç†è§£ã®ãŸã‚ã«ã¯å‚考文献をå‚ç…§ã•ã‚ŒãŸã„． \section{証明ã®é–‹å§‹(ゴールã®è¨­å®š)} \label{sec:start-proof} ã‚る特定ã®ãƒ¢ã‚¸ãƒ¥ãƒ¼ãƒ« $M$ を文脈ã¨ã—ã¦ï¼Œãã®ä¸­ã§è¨¼æ˜Žã—ãŸã„æ–‡ã®é›†åˆ $G$ ãŒã™ã¹ã¦æˆç«‹ã™ã‚‹ã“ã¨ã‚’% 演繹è¦å‰‡(戦略)を順次é©ç”¨ã™ã‚‹ã“ã¨ã«ã‚ˆã£ã¦è¨¼æ˜Žã™ã‚‹ã“ã¨ãŒæœ¬ã‚·ã‚¹ãƒ†ãƒ ã®ç›®æ¨™ã§ã‚る． \begin{itemize} \item 証明を開始ã™ã‚‹ã«ã¯ï¼Œè¨¼æ˜Žã‚’è¡Œã†æ–‡è„ˆã‚’設定ã—，次ã„ã§è¨¼æ˜Žã—ãŸã„æ–‡ã®é›†åˆã‚’宣言ã™ã‚‹ï¼Ž\\ 文脈ã®è¨­å®šã¯ï¼Œæ—¢å­˜ã® CafeOBJ コマンド \verb|select .| ã‚ã‚‹ã„㯠\verb|open .| ã«ã‚ˆã£ã¦è¡Œã†ï¼Ž \item 証明を実施ã™ã‚‹æ–‡è„ˆã®è¨­å®šå¾Œï¼Œä¸‹ã«ç¤ºã™ \verb|:goal| コマンドã«ã‚ˆã£ã¦è¨¼æ˜Žã—ãŸã„æ–‡ã®é›†åˆã‚’指定ã™ã‚‹ï¼Ž\\ \begin{vvtm} \begin{simplev} goal コマンド ::= :goal { . ... . } \end{simplev} \end{vvtm} \end{itemize} \verb|sentence| ã¯ï¼ŒCafeOBJ ã®(æ¡ä»¶ä»˜ã)ç­‰å¼ã‚ã‚‹ã„ã¯(æ¡ä»¶ä»˜ã)é·ç§»è¦å‰‡ã®ã„ãšã‚Œã‹ã§è¡¨è¨˜ã™ã‚‹ï¼Ž \subsubsection{文脈ã¨ã‚´ãƒ¼ãƒ«ã®è¨­å®šä¾‹} %\begin{vvtm} \begin{examplev} select CLOUD . :goal { ceq [inv1 :nonexec]: true = false if statusp(S:Sys,I:Client) = updated /\ statusc(S:Sys)= idlec . ceq [inv2 :nonexec]: true = false if statusp(S:Sys,I:Client) = gotval /\ statusc(S:Sys)= idlec . ceq [inv3 :nonexec]: true = false if statusp(S:Sys,J:Client) = updated /\ statusp(S:Sys,I:Client) = gotval . ceq [inv4 :nonexec]: true = false if (I:Client ~ J:Client) = false /\ statusp(S:Sys,J:Client) = gotval /\ statusp(S:Sys,I:Client) = gotval . ceq [inv5 :nonexec]: true = false if (I:Client ~ J:Client) = false /\ statusp(S:Sys,J:Client)= updated /\ statusp(S:Sys,I:Client)= updated .} \end{examplev} %\end{vvtm} \section{証明木ã®æ§‹é€ }\label{sec:proof-struct} ã“ã“ã§ã¯ä»–ã®ã‚³ãƒžãƒ³ãƒ‰ã‚’説明ã™ã‚‹å‰ã«ï¼ŒCITP for CafeOBJ ã®æ§‹æˆã™ã‚‹ 証明木(proof tree)ã®æ§‹é€ ã«ã¤ã„ã¦èª¬æ˜Žã™ã‚‹ï¼Ž 証明木ã¯å…¨ä½“ã¨ã—ã¦ã‚´ãƒ¼ãƒ«ã‚’ノードã¨ã™ã‚‹æœ‰å‘ã®æœ¨æ§‹é€ (directed tree structure)ã‚’æŒã¡ï¼Œ å„æž(branch)ã¯ã‚´ãƒ¼ãƒ«ã«å¯¾ã—ã¦é©ç”¨ã—ãŸæˆ¦ç•¥ã‚’ラベル(label)ãŒä»˜åŠ ã•ã‚Œã¦ã„る． ã‚るゴール$G$ã«å¯¾ã—ã¦ã‚る戦略$T$ã‚’é©ç”¨ã™ã‚‹ã¨ï¼Œ 一般的ã«è¤‡æ•°ã®ã‚´ãƒ¼ãƒ«$G_1, G_2, \ldots, G_n$ ãŒç”Ÿæˆã•ã‚Œã‚‹ãŒï¼Œ ã“れら $G_i$ ã‚’ã‚‚ã¨ã®ã‚´ãƒ¼ãƒ«ã®å­ã‚´ãƒ¼ãƒ«ã¨å‘¼ã¶ï¼Ž $G$ ã‹ã‚‰å„ $G_i (i = 1 \cdots n)$ ã¸ã®æžã¯ï¼Œå…¨ã¦é©ç”¨ã—ãŸæˆ¦ç•¥$T$ã«ã‚ˆã‚‹ãƒ©ãƒ™ãƒ« $T$ã‚’æŒã¤ï¼Ž 以下ã“ã®ä¸€èˆ¬çš„ãªè¨¼æ˜Žæœ¨ã®æ§‹é€ ã‚’より具体的ã«è¿°ã¹ã‚‹ï¼Ž 以下ã§ã¯ï¼Œã‚´ãƒ¼ãƒ«ã¨è¨¼æ˜Žæœ¨ã®ãƒŽãƒ¼ãƒ‰ã‚’区別ã›ãšã«ç”¨ã„る． \begin{itemize} \item :goal コマンドã«ã‚ˆã£ã¦è¨­å®šã•ã‚ŒãŸã‚´ãƒ¼ãƒ«ã‚’åˆæœŸã‚´ãƒ¼ãƒ«ã¨ã™ã‚‹ï¼Ž \item ã‚るノード(ゴール)ã«å¯¾ã—ã¦æˆ¦ç•¥ $T$ ã®é©ç”¨ã«ã‚ˆã£ã¦æ–°ãŸãªã‚´ãƒ¼ãƒ«ãŒç”Ÿæˆã•ã‚ŒãŸå ´åˆï¼Œ ãれらをãã®ãƒŽãƒ¼ãƒ‰ã®å­ãƒŽãƒ¼ãƒ‰ã¨ã™ã‚‹ï¼Žã“れらå­ãƒŽãƒ¼ãƒ‰ã¸ã®æžã¯ãƒ©ãƒ™ãƒ« $T$ ã‚’æŒã¤ï¼Ž \item å„ゴールã«ã¯æ¬¡ã®ã‚ˆã†ã«åå‰ãŒä»˜åŠ ã•ã‚Œã‚‹: \begin{itemize} \item åˆæœŸã‚´ãƒ¼ãƒ«ã«ã¯ root ã¨ã„ã†åå‰ãŒä»˜ã‘られる． \item root 直下ã®ã‚´ãƒ¼ãƒ«ã«ã¯è‡ªç„¶æ•° $1, 2, \ldots ,n$ ã¨åå‰ãŒä»˜ã‘られる． \item 以下，ã‚るゴールã®å称㌠N ã§ã‚ã£ãŸã¨ã™ã‚‹ã¨ï¼Œãã®ã‚´ãƒ¼ãƒ«ã«ã¯ N-1, N-2, $\ldots$ N-m ã®ã‚ˆã†ã«åå‰ãŒä»˜ã‘られる． \end{itemize} \end{itemize} \begin{figure}[hbt] \centering %\includegraphics[scale=1.0]{proof-tree.pdf} \input proof-tree.tikz \caption{証明木} \label{fig:proof-tree} \end{figure} ã“ã®ã‚ˆã†ãªæ§‹é€ ã‚’æŒã¤è¨¼æ˜Žæœ¨ã«ãŠã„ã¦ï¼Œ\textbf{ゴールãŒè¨¼æ˜Žã•ã‚Œã‚‹}ã¨ã¯ä»¥ä¸‹ã®äº‹ã‚’言ã†: \begin{itemize} \item ã‚るゴールã®å­ã‚´ãƒ¼ãƒ«ãŒå…¨ã¦è¨¼æ˜Žã•ã‚ŒãŸã¨ã，ãã®ã‚´ãƒ¼ãƒ«ã‚‚証明ã•ã‚Œã‚‹ \item ã“ã“ã§\textbf{証明ã•ã‚Œã‚‹}ã¨ã¯ä»¥ä¸‹ã®äº‹ã‚’言ㆠ\begin{enumerate} \item æ–‡ãŒå……足(satisfied)ã•ã‚ŒãŸå ´åˆï¼Œã‚ã‚‹ã„㯠\item 矛盾(contradiction)ãŒç™ºè¦‹ã•ã‚Œã‚‹: ã™ãªã‚ã¡ \begin{itemize} \item ãã®æ–‡è„ˆã«ãŠã„㦠true = false ãŒæ¼”ç¹¹å¯èƒ½(deducible)ã¨ãªã‚‹ \item é·ç§»çš„ãªé–¢ä¿‚ã§çŸ›ç›¾ãŒç”Ÿãšã‚‹ï¼Žä¾‹ãˆã° $X < Y < Z$ ã®æ™‚ã« $Z \le Y$ ãŒæ¼”ç¹¹ã§ãる． \end{itemize} \end{enumerate} ã“れらã®ã„ãšã‚Œã‹ãŒæˆç«‹ã—ãŸæ™‚，ãã®ã‚´ãƒ¼ãƒ«ã«å«ã¾ã‚Œã‚‹å½“該文ã¯ã‚´ãƒ¼ãƒ«ã‹ã‚‰ å–り去られる (dischage ã•ã‚Œã‚‹ã¨è¨€ã†)． ゴールã‹ã‚‰è¨¼æ˜Žå¯¾è±¡ã®æ–‡ãŒã™ã¹ã¦ãªããªã£ãŸæ™‚，ãã®ã‚´ãƒ¼ãƒ«ã¯è¨¼æ˜Žã•ã‚ŒãŸã¨è¨€ã†ï¼Ž \end{itemize} \section{戦略ã®é©ç”¨}\label{sec:apply} \begin{itemize} \item åˆæœŸã‚´ãƒ¼ãƒ«ãŒè¨­å®šã•ã‚ŒãŸå¾Œã§ã¯ï¼Œ:apply コマンドã«ã‚ˆã£ã¦ï¼ŒæŒ‡å®šã®æˆ¦ç•¥ã‚’ゴールã«é©ç”¨ã§ãるよã†ã«ãªã‚‹ï¼Ž ゴールãŒè¨­å®šã•ã‚Œã¦ã„ãªã„å ´åˆï¼Œ:apply コマンドã®é©ç”¨ã¯ã‚¨ãƒ©ãƒ¼ã¨ã—ã¦æ‰±ã‚れる． \item 構文 \begin{vvtm} \begin{simplev} apply コマンド ::= :apply [ to : ] ( ... ) ::= ゴールã«ä»˜ä¸Žã•ã‚ŒãŸåå‰ ::= SI | CA | TC | IP | RD | \end{simplev} \end{vvtm} \item \verb|| ã®æŒ‡å®šã§ï¼Œå¤§æ–‡å­—ã¨å°æ–‡å­—ã®åŒºåˆ¥ã¯ã—ãªã„． \item \verb|to | ãŒçœç•¥ã•ã‚ŒãŸå ´åˆã¯ï¼Œç¾åœ¨ã®ãƒ‡ãƒ•ã‚©ãƒ«ãƒˆã‚´ãƒ¼ãƒ«(後述)ã«å¯¾ã—ã¦é©ç”¨ã•ã‚Œã‚‹ï¼Ž \item \verb|| ã¯\ref{sec:def-command}ç« ã§èª¬æ˜Žã™ã‚‹ \verb|:def| コマンドã«ã‚ˆã£ã¦å®šç¾©ã•ã‚ŒãŸæˆ¦ç•¥ã®åå‰ã§ã‚る． \end{itemize} \subsection{戦略}\label{sec:predefined-tactics} CITP for CafeOBJ ã§æä¾›ã•ã‚Œã‚‹æˆ¦ç•¥ã‚’表~\ref{tab:tactics} ã«ç¤ºã™ï¼Ž å„戦略ã®å…·ä½“çš„ãªæŒ™å‹•ã«ã¤ã„ã¦ã¯ï¼Œ\ref{sec:tactic-behaviour}ç« ã§èª¬æ˜Žã™ã‚‹ï¼Ž \begin{table} \label{tab:tactics} \caption{戦略一覧} \begin{center} \begin{tabular}[htbp]{|l|l|}\hline 戦略å & 演繹è¦å‰‡ \\\hline\hline SI & Simultaneous Induction (åŒæ™‚帰ç´æ³•) \\\hline CA & Case Analysis (å ´åˆåˆ†ã‘)\\\hline TC & Theorem of Constants \\\hline IP & Implication (å«æ„)\\\hline RD & Reduction (簡約化) \\\hline \end{tabular} \end{center} \end{table} \subsection{戦略ã®é©ç”¨é †åº}\label{sec:order-of-tatic-application} \begin{figure}[htbp] \begin{center} \includegraphics[scale=0.4]{apply-order.pdf} \end{center} \caption{戦略ã®é©ç”¨é †åº} \label{fig:apply-tactic} \end{figure} 図~\ref{fig:apply-tactic} ã«ï¼Œã‚るゴール $n$ ã«å¯¾ã—ã¦ä¸€é€£ã®æˆ¦ç•¥ $T_1 T_2 \ldots T_n$ ã‚’ é©ç”¨ã—ãŸéš›ã«ï¼Œã“れらã®æˆ¦ç•¥ãŒã©ã®ã‚ˆã†ã«é©ç”¨ã•ã‚Œã‚‹ã‹ã‚’示ã™ï¼Ž 一般ã«ã‚る戦略 $T_i$ をゴール $N$ ã«é©ç”¨ã—ãŸå ´åˆï¼Œæˆ¦ç•¥ã«ã‚ˆã£ã¦è¤‡æ•°ã®ã‚´ãƒ¼ãƒ«ãŒç”Ÿæˆã•ã‚Œã‚‹ï¼Ž :apply コマンドã«ä¸€é€£ã®æˆ¦ç•¥ $T_1 T_2 \ldots T_n$ ãŒæŒ‡å®šã•ã‚Œï¼Œã‚´ãƒ¼ãƒ« $N$ ã«é©ç”¨ã•ã‚ŒãŸã¨ã™ã‚‹ï¼Ž ã“ã®ã¨ã最åˆã®æˆ¦ç•¥ $T_1$ ã«ã‚ˆã£ã¦è¤‡æ•°ã®å°ã‚´ãƒ¼ãƒ« $N_1 \ldots N_m$ ãŒç”Ÿæˆã•ã‚ŒãŸã¨ã—ãŸæ™‚， 次ã®æˆ¦ç•¥ $T_2$ ã¯ã“れらã®å°ã‚´ãƒ¼ãƒ«å…¨ã¦ã«å¯¾ã—ã¦é©ç”¨ã•ã‚Œã‚‹ï¼Žä»¥ä¸‹åŒæ§˜ã§ã‚る． \subsection{自動戦略} \label{sec:tactic-auto} 経験則ã‹ã‚‰ä¸€èˆ¬çš„ã«æœ‰åŠ¹(ã†ã¾ã証明ãŒã§ãã‚‹ã“ã¨ãŒå¤šã„)ã¨è€ƒãˆã‚‹äº‹ã®ã§ãる一連ã®æˆ¦ç•¥ã‚’予ã‚用æ„ã—， ã“れを簡便ã«ä½¿ç”¨ã§ãã‚‹ã¨ä¾¿åˆ©ã§ã‚る． ã“ã®ãŸã‚ã«ã‚³ãƒžãƒ³ãƒ‰ :auto ãŒç”¨æ„ã•ã‚Œã¦ã„る． \begin{itemize} \item 構文: \begin{vvtm} \begin{simplev} auto コマンド ::= :auto \end{simplev} \end{vvtm} \item \verb|:auto| 㯠\verb|:apply (SI CA TC IP RD) | ã¨ç­‰ä¾¡ã§ã‚る． \end{itemize} \section{ターゲット・ゴール}\label{sec:default-goal} :apply コマンドã¯æˆ¦ç•¥ã‚’é©ç”¨ã™ã‚‹ã‚´ãƒ¼ãƒ«ã®å¼•æ•°ã‚’çœç•¥ã™ã‚‹ã“ã¨ãŒã§ãã‚‹(\ref{sec:apply})． ã“ã®æ™‚，指定ã—ãŸæˆ¦ç•¥ã®é©ç”¨å¯¾è±¡ã¨ãªã‚‹ã‚´ãƒ¼ãƒ«ã‚’\textbf{ターゲット・ゴール}ã¨å‘¼ã¶ï¼Ž システムã¯ã“れを次ã®è¦å‰‡ã«ã‚ˆã£ã¦æ±ºå®šã™ã‚‹ï¼Ž \begin{itemize} \item åˆæœŸã®ã‚´ãƒ¼ãƒ«ãŒ \verb|:goal| コマンドã«ã‚ˆã£ã¦è¨­å®šã•ã‚ŒãŸç›´å¾Œã¯ \verb|root| ãŒã‚¿ãƒ¼ã‚²ãƒƒãƒˆãƒ»ã‚´ãƒ¼ãƒ«ã§ã‚る． \item ã‚る戦略をゴールã«é©ç”¨ã—ãŸå¾Œã¯ï¼Œè¨¼æ˜Žæœ¨ã®æ§‹é€ ä¸Šæœ€ã‚‚左㮠末端ノードãŒã‚¿ãƒ¼ã‚²ãƒƒãƒˆãƒ»ã‚´ãƒ¼ãƒ«ã¨ãªã‚‹ï¼Ž \end{itemize} ターゲット・ゴール㯠:apply コマンドã®æš—黙的ãªå¯¾è±¡ã¨ãªã‚‹ã‚´ãƒ¼ãƒ«ã ã‘ã§ãªã， ゴールを引数ã«æŒã¤ã‚³ãƒžãƒ³ãƒ‰ã§ï¼Œãã‚ŒãŒçœç•¥ã•ã‚ŒãŸéš›ã«% é©ç”¨å¯¾è±¡ã¨ã™ã‚‹ã‚´ãƒ¼ãƒ«ã¨ã—ã¦æ‰±ã‚れる． \subsection{ターゲット・ゴールã®æŒ‡å®š} ターゲット・ゴールã¯ï¼Œ\verb|:select| コマンドã«ã‚ˆã£ã¦è¨­å®šã™ã‚‹ã“ã¨ãŒå¯èƒ½ã§ã‚る． \begin{itemize} \item 構文: \begin{vvtm} \begin{simplev} :select コマンド ::= :select \end{simplev} \end{vvtm} \end{itemize} \verb|:select| コマンドã§æŒ‡å®šã•ã‚ŒãŸã‚´ãƒ¼ãƒ«ãŒå­ã‚´ãƒ¼ãƒ«ã‚’æŒã£ã¦ã„ãŸå ´åˆï¼Œ ãれらã®å­ã‚´ãƒ¼ãƒ«ã¯è¨¼æ˜Žæœ¨ã‹ã‚‰å‰Šé™¤ã•ã‚Œã‚‹ï¼Ž \begin{figure}[hbt] \centering \input selected.tikz \caption{:select} \label{fig:selected-proof-tree} \end{figure} 図\ref{fig:selected-proof-tree} ã¯ã‚´ãƒ¼ãƒ«1-1ãŒã‚¿ãƒ¼ã‚²ãƒƒãƒˆãƒ»ã‚´ãƒ¼ãƒ«ã¨ãªã£ã¦ã„る状態㧠\verb|:select| コマンドã§ã‚´ãƒ¼ãƒ«2を指定ã—ãŸçµæžœã‚´ãƒ¼ãƒ«2ãŒã‚¿ãƒ¼ã‚²ãƒƒãƒˆãƒ»ã‚´ãƒ¼ãƒ«ã¨ãªã‚Š ãã‚Œã¾ã§ã‚´ãƒ¼ãƒ«2ã®å­ã‚´ãƒ¼ãƒ«ã ã£ãŸæ—¢å­˜ã®ã‚´ãƒ¼ãƒ«2-1ã¨2-2ãŒå‰Šé™¤ã•ã‚ŒãŸæ§˜å­ã‚’示ã—ãŸã‚‚ã®ã§ã‚る． \section{å„戦略ã®æŒ™å‹•}\label{sec:tactic-behaviour} 本章ã§ã¯å…ˆã«è¿°ã¹ãŸå„戦略ã®æŒ™å‹•ã«ã¤ã„ã¦è¿°ã¹ã‚‹ï¼Ž \subsection{SI: Simultaneous Induction}\label{sec:SI} \begin{prooftree} \AXC{$\{\SP\vdash^{sp} (\forall Y)\theta(\varepsilon)\;|\; \theta : X \rightarrow T_{\Sigma^{c}}, Y : \mathtt{finite}\}$} \LeftLabel{[conAbst]} \UIC{$\SP\vdash^{sp} (\forall X)\varepsilon$} \end{prooftree} ã“ã“㧠$\Sigma = \Sig(\SP)$，$\Sigma^{c}\subset\Sigma$ ã¯æ§‹æˆå­ã‹ã‚‰ãªã‚‹éƒ¨åˆ†ã‚·ã‚°ãƒ‹ãƒãƒ£ã§ã‚る． ã¾ãŸ $\theta : X\rightarrow T_{\Sigma^{c}}(Y)$ 㯠$\Sig(\SP)$-ç½®æ›ã§ã‚る． 上ã®è¦å‰‡ã¯ã‚‚ã— $\varepsilon$ ㌠$X$ ã«å«ã¾ã‚Œã‚‹å¤‰æ•°ã®å…¨ã¦ã®å¯èƒ½ãª% instantiationã«ã¤ã„ã¦æˆã‚Šç«‹ã¤ãªã‚‰ $(\forall X)\varepsilon$ ãŒæˆã‚Šç«‹ã¤ã“ã¨ã‚’æ„味ã™ã‚‹ï¼Ž [conAbst] ã¯å®Ÿç”¨çš„ãªè¦³ç‚¹ã‹ã‚‰ã¯ä½¿ç”¨ã™ã‚‹ã®ãŒé›£ã—ã„． 何故ãªã‚‰ãƒ«ãƒ¼ãƒ«ã®ã‚¤ãƒ³ã‚¹ã‚¿ãƒ³ã‚¹ãŒç„¡é™ã«ã‚ã‚Šå¾—ã‚‹ã‹ã‚‰ã§ã‚る． ãã®ä»£ã‚ã‚Šã«ä¸‹ã®å¸°ç´çš„演繹ã«ã‚ˆã£ã¦ã“れを模倣ã™ã‚‹äº‹ãŒå‡ºæ¥ã‚‹ï¼Ž \begin{prooftree} \AXC{$\SP' =_{def} \PR(\SP,\{\{x\}_{s}\}) \cup \{(\forall\{\})\varepsilon\}$} \noLine \UIC{$\SP' \vdash (\forall Z^{f})\varepsilon[x\leftarrow f(z_1,\ldots,z_{i-1},x,z_{i+1},\ldots z_n)]\;\; f\in F^{c}_{*s}\}$} \LeftLabel{[Ind]} \UIC{$\SP\vdash^{sp}(\forall\{\{x\}_{s}\})\varepsilon$} \end{prooftree} \begin{itemize} \item [Ind]ã¯æ§‹æˆå­ãƒ™ãƒ¼ã‚¹ã®å¸°ç´çš„演繹を定å¼åŒ–ã—ãŸã‚‚ã®ã§ã‚る． \end{itemize} \begin{itemize} \item 戦略 SI ã¯ä¸Šã® Ind を複数ã®å¸°ç´å¤‰æ•°ã«å¯¾ã—ã¦åŒæ™‚ã«é©ç”¨å¯èƒ½ãªã‚ˆã†æ‹¡å¼µã—ãŸã‚‚ã®ã§ã‚る． 指定ã—ãŸå¸°ç´å¤‰æ•°(induction variables)ã«å¯¾ã—ã¦ä»¥ä¸‹ã‚’è¡Œã†ï¼Ž \begin{itemize} \item ベースケース \item 帰ç´æ³•ã®ä»®å®š+ステップケース \end{itemize} ãã‚Œãžã‚Œã«å¯¾å¿œã—ãŸæ–°ãŸãªã‚´ãƒ¼ãƒ«ã‚’生æˆã™ã‚‹ \item induction variables 㯠\verb|:ind on| コマンドã«ã‚ˆã£ã¦æŒ‡å®šã™ã‚‹ï¼Ž \begin{vvtm} \begin{simplev} :ind コマンド ::= :ind on ( <変数> ... ) \end{simplev} \end{vvtm} \verb|<変数>| 㯠on-the-fly ã®å¤‰æ•°å®£è¨€å½¢å¼ã§æŒ‡å®šã™ã‚‹ï¼Ž \item \verb|:ind| コマンドã§æŒ‡å®šã—ãŸå¤‰æ•°ã«å¯¾å¿œã™ã‚‹ã‚½ãƒ¼ãƒˆãŒï¼Œæ§‹æˆå­ã‚’ æŒãŸãªã„ソートã§ã‚ã£ãŸå ´åˆã¯ã‚¨ãƒ©ãƒ¼ã¨ã™ã‚‹ï¼Ž \item 帰ç´æ³•ã®ä»®å®šã‚„，証明対象ã¨ã™ã‚‹ã‚¹ãƒ†ãƒƒãƒ—ケースã®æ–‡ã§ã¯ï¼Œ 帰ç´æ³•ã«ã‚ˆã‚‹å®šæ•°ãŒå¿…è¦ã¨ãªã‚‹ãŒï¼Œãれらã¯æ¬¡ã®ã‚ˆã†ã«ã—ã¦ç”Ÿæˆã™ã‚‹ï¼Ž \begin{itemize} \item \verb|帰ç´å¤‰æ•°å#ソートå| ã¨ã„ã†åå‰ã®ã‚ªãƒšãƒ¬ãƒ¼ã‚¿ã‚’å°Žå…¥ \item ã“ã®ã‚ªãƒšãƒ¬ãƒ¼ã‚¿ã‚’用ã„ã¦(定数)項を生æˆã™ã‚‹ \end{itemize} 例ãˆã°ï¼Œå¸°ç´å¤‰æ•°ã¨ã—㦠\verb|I:Foo| ãŒæŒ‡å®šã•ã‚ŒãŸå ´åˆï¼Œ å°Žå…¥ã•ã‚Œã‚‹å®šæ•°å㯠\verb|I#<ソートå>| ã¨ãªã‚‹ï¼Ž <ソートå> ã¯æ–‡è„ˆã«å¿œã˜ã¦é©åˆ‡ãªã‚½ãƒ¼ãƒˆãŒé¸æŠžã•ã‚Œã‚‹ï¼Ž \end{itemize} \subsection{TC: Theorem of Constants}\label{sec:TC} \begin{prooftree} \AXC{$\PR(\SP,Y)\vdash^{sp} (\forall\{\})\varepsilon$} \LeftLabel{[TC]} \UIC{$\SP\vdash^{sp}(\forall Y)\varepsilon$} \end{prooftree} ã“ã®æ¼”ç¹¹è¦å‰‡ã¯å…¨ç§°çš„ã«æŸç¸›ã•ã‚ŒãŸå¤‰æ•°ã«é–¢ã™ã‚‹æŽ¨è«–ã‚’è¡Œã†éš›ã«ï¼Œ 定数を代ã‚ã£ã¦ä½¿ç”¨ã—ã¦ã‚‚良ã„ã¨ã™ã‚‹ã‚‚ã®ã§ã‚り， 従æ¥ã‚ˆã‚ŠCafeOBJã®æ›¸ãæ›ãˆã‚¨ãƒ³ã‚¸ãƒ³ã‚’利用ã—ãŸè¨¼æ˜Žã§é€šå¸¸åˆ©ç”¨ã•ã‚Œã¦ã„る技法ã§ã‚る． CITP CafeOBJ ã§ã¯ã“ã®æ¼”ç¹¹è¦å‰‡ã«å¯¾å¿œã™ã‚‹ã‚‚ã®ã‚’戦略ã¨ã—ã¦æä¾›ã™ã‚‹ï¼Ž [TC]ã«ã‚ˆã£ã¦æ–°ãŸã«å°Žå…¥ã™ã‚‹å®šæ•°åã¯ï¼Œæ—¢å­˜ã®å®šæ•°åã¨è¡çªãŒç„¡ã„よã†ã«è€ƒæ…®ã—， è¦å‰‡çš„ã«å‘½åã•ã‚Œã‚‹ï¼Ž \begin{itemize} \item é©ç”¨å…ˆã®ã‚´ãƒ¼ãƒ«ã«è¤‡æ•°ã®è¨¼æ˜Žå¯¾è±¡ã®æ–‡ãŒå«ã¾ã‚Œã¦ã„ã‚‹å ´åˆã¯ï¼Œ ãれ毎ã«åˆ¥ã€…ã®å°ã‚´ãƒ¼ãƒ«ã‚’作æˆã—，分é…ã™ã‚‹ï¼Ž \item 以下å„ゴールã«å¯¾ã—ã¦ä»¥ä¸‹ã‚’実施ã™ã‚‹ï¼Ž \begin{itemize} \item 証明対象ã®æ–‡ã«å«ã¾ã‚Œã‚‹å¤‰æ•°ã‚’対応ã™ã‚‹ã‚½ãƒ¼ãƒˆã®å®šæ•°ã§ç½®ãæ›ãˆã‚‹ \end{itemize} \item 定数ã¯æ¬¡ã®ã‚ˆã†ã«æ–°ãŸãªã‚ªãƒšãƒ¬ãƒ¼ã‚¿ã‚’å°Žå…¥ã™ã‚‹ã“ã¨ã«ã‚ˆã£ã¦ä½œæˆã™ã‚‹ \begin{itemize} \item \verb|変数å@ソートå| ã¨ã„ã†åå‰ã®ã‚ªãƒšãƒ¬ãƒ¼ã‚¿ã‚’å°Žå…¥ \item ã“ã®ã‚ªãƒšãƒ¬ãƒ¼ã‚¿ã‚’用ã„ã¦(定数)項を生æˆã™ã‚‹ \end{itemize} 例ãˆã°ï¼Œå¤‰æ•° X ãŒã‚½ãƒ¼ãƒˆ Foo ã®å¤‰æ•°ã§ã‚ã£ãŸå ´åˆï¼Œå°Žå…¥ã•ã‚Œã‚‹ã‚ªãƒšãƒ¬ãƒ¼ã‚¿ã¯ \begin{verbatim} op X@Foo : -> Foo . \end{verbatim} ã®ã‚ˆã†ã«å®£è¨€ã•ã‚ŒãŸã®ã¨ç­‰ä¾¡ã§ã‚る． %%% spoiler \item 上記を実施ã—ãŸå¾Œï¼Œç”Ÿæˆã—ãŸã‚´ãƒ¼ãƒ«ã«å¯¾ã—ã¦æš—黙的戦略 CT ãŠã‚ˆã³ ST ã‚’é©ç”¨ã™ã‚‹ï¼Ž \end{itemize} \subsection{IP: Implication}\label{sec:IP} \begin{prooftree} \AXC{$(\Sigma,E\cup\{(\forall\{\})t_1=t'_1,\ldots,(\forall\{\})t_n=t'_n)\vdash^{sp}(\forall\{\}t=t')$} \LeftLabel{[IP]} \UIC{$(\Sigma,E)\vdash^{sp}(\forall\{\}) t = t'\; \mathtt{if}\; \{t_1=t'_1,\ldots,t_n=t'_n\}$} \end{prooftree} æ¡ä»¶ä»˜ãç­‰å¼ã§æ¡ä»¶éƒ¨ãŒåŸºåº•é …ã®å ´åˆï¼Œãれらを新ãŸãªå…¬ç†ã¨ã—ã¦å°Žå…¥ã—， æ¡ä»¶éƒ¨ã‚’å–り去ã£ãŸã‚´ãƒ¼ãƒ«ã‚’æ–°ãŸãªã‚´ãƒ¼ãƒ«ã¨ã—ã¦ã‚‚良ã„事を [IP] ã¯ç¤ºã—ã¦ã„る． [IP] ã«ã¤ã„ã¦ã‚‚ CITP for CafeOBJ ã®æä¾›ã™ã‚‹æ¼”ç¹¹è¦å‰‡ã¨ã—ã¦æä¾›ã™ã‚‹ï¼Ž æ¡ä»¶éƒ¨ãŒè¤‡æ•°ã® atom ã®é€£çµ ($\wedge$ ã§çµã°ã‚ŒãŸè¤‡æ•°ã®æ¡ä»¶)ã®å ´åˆã¯ï¼Œ ãれらを別々ã®è¤‡æ•°ã®å…¬ç†ã¨ã—ã¦å°Žå…¥ã™ã‚‹ï¼Ž \begin{itemize} \item é©ç”¨å…ˆã®ã‚´ãƒ¼ãƒ«ã«è¤‡æ•°ã®è¨¼æ˜Žå¯¾è±¡ã®æ–‡ãŒå«ã¾ã‚Œã¦ã„ã‚‹å ´åˆã¯ï¼Œ ãれ毎ã«åˆ¥ã€…ã®å°ã‚´ãƒ¼ãƒ«ã‚’作æˆã—，分é…ã™ã‚‹ï¼Ž \item 以下，å„ゴールã«å¯¾ã—ã¦ä»¥ä¸‹ã‚’実施ã™ã‚‹ï¼Ž \item 証明対象ã®æ–‡ãŒ \verb|ceq T = T' if C| ã¾ãŸã¯ \verb|ctrans T => T' if C| ã®å½¢ï¼Œã‹ã¤ \item C ãŒåŸºåº•é …ã®å ´åˆã«ä»¥ä¸‹ã‚’行ㆠ\begin{itemize} \item \verb|C| ã‚’å…¬ç†ã¨ã—ã¦è¿½åŠ  \item å…ƒã®è¨¼æ˜Žå¯¾è±¡ã‹ã‚‰æ¡ä»¶éƒ¨ã‚’削除ã—ãŸã‚‚ã®ã‚’æ–°ãŸãªè¨¼æ˜Žå¯¾è±¡ã®æ–‡ã¨ã™ã‚‹ \item \verb|C| ãŒè¤‡æ•°ã®æ¡ä»¶ãŒ \verb|c1 /\ c2 ... /\ cn| ã®ã‚ˆã†ã«ï¼Œ\verb|/\| 㧠çµåˆã•ã‚ŒãŸå½¢ã®å ´åˆã¯åˆ†é›¢ã—，個々㮠\verb|c1| $\ldots$ \verb|cn| ã‚’ å…¬ç†ã¨ã—ã¦å°Žå…¥ã™ã‚‹ï¼Ž \end{itemize} %%% spoiler \item 以上を実施ã—ãŸå¾Œï¼Œç”Ÿæˆã•ã‚ŒãŸã‚´ãƒ¼ãƒ«ã«å¯¾ã—ã¦æš—é»™ã®æˆ¦ç•¥ CT ãŠã‚ˆã³ ST ã‚’é©ç”¨ã™ã‚‹ï¼Ž \end{itemize} \subsection{CA: Case Analysis}\label{sec:CA} \begin{prooftree} \AXC{$\{\PR(\SP,Y) \cup \{ u = t\}\vdash^{sp} e\;|\; t\in T_{\Sigma^{c}}(Y)_{S_{c}}, Y:\mathtt{finite}\}$} \LeftLabel{[split]} \UIC{$\SP\vdash^{sp} e$} \end{prooftree} \begin{prooftree} \AXC{$\SP\cup\{u = \mathtt{true}\}\vdash^{sp} e$} \AXC{$\SP\cup\{u = \mathtt{false}\}\vdash^{sp} e$} \LeftLabel{[splitBool]} \BIC{$\SP\vdash^{sp} e$} \end{prooftree} ã“れらã¯ç¶²ç¾…çš„ãªå ´åˆåˆ†ã‘ã®å¿…è¦æ€§ã«ã¤ã„ã¦å®šå¼åŒ–ã—ãŸã‚‚ã®ã§ã‚る． ã“ã‚Œã«ã¤ã„ã¦ã¯è¨¼æ˜Žã®æ–‡è„ˆã¨ãªã£ã¦ã„る仕様や% 証明ã®å¯¾è±¡ã¨ã—ã¦ã„ã‚‹é …ã«ã‚ˆã‚Šç•°ãªã‚Šï¼Œ% 一般的ãªç”Ÿæˆã‚¹ã‚­ãƒ¼ãƒ ã‚’与ãˆã‚‹äº‹ã¯å›°é›£ã§ã‚る． ãã®ãŸã‚，場åˆåˆ†ã‘を実施ã™ã‚‹ä¸Šã§ã®å„ケースを利用者ãŒå…¬ç†ã«ã‚ˆã£ã¦æ˜Žç¤ºçš„ã«æŒ‡ç¤ºã—， システムãŒãれをベースã«å¿…è¦ãªå ´åˆåˆ†ã‘を実施ã™ã‚‹ã‚‚ã®ã¨ã™ã‚‹ï¼Ž ã“ã®ä»•æ§˜ã¯ Maude ã® CITP システムã«ç¿’ã£ãŸã‚‚ã®ã§ã‚る． CA ã¯æ¬¡ã®ã‚ˆã†ã«å‹•ä½œã™ã‚‹: \begin{enumerate} \item 証明対象ã®æ–‡ã‹ã‚‰åŸºåº•é … $G_1, \ldots, G_n$ ã‚’å–り出ã™ï¼Ž \item 文脈ã¨ãªã£ã¦ã„るモジュールã‹ã‚‰ï¼Œãƒ©ãƒ™ãƒ«ã¨ã—ã¦å…ˆé ­ãŒ ``CA'' ã§å§‹ã¾ã‚‹ å…¬ç†ã®é›†åˆ $Ac$ を求ã‚る． \item å„ $G_i (1\le i \le n)$ ã«ã¤ã„ã¦ï¼Œãã®çœŸéƒ¨åˆ†é …㌠$Ac$ ã«å«ã¾ã‚Œã‚‹å…¬ç†ã® ã©ã®å·¦è¾ºã¨ã‚‚ç…§åˆã—ãªã„基底項ã®é›†åˆ $Gs$ を得る． \item å„ $g_j \in Gs$ ã«ã¤ã„ã¦ï¼Œå„ $(\mathtt{l\; =\; r\; if\; C}) \in Ac$ ã¨ã®é–“㧠以下を計算ã™ã‚‹ï¼Ž \begin{enumerate} \item 基底項 $g_j$ ã«é–¢ã™ã‚‹ã‚±ãƒ¼ã‚¹ã®é›†åˆ $C_j$ を空集åˆã«ã‚»ãƒƒãƒˆã™ã‚‹ï¼Ž \item $\sigma(g_j) = \mathtt{l}$ ã¨ãªã‚‹ç½®æ› $\sigma$ ãŒå­˜åœ¨ã—ãŸã‚‰ï¼Œ $\sigma(C)_j$ ã‚’ $Cs_j$ ã«è¿½åŠ ã™ã‚‹ï¼Ž \end{enumerate} å„ $Cs_j$ ã¯åŸºåº•é … $g_j$ ã«é–¢ã™ã‚‹ã‚±ãƒ¼ã‚¹ã®é›†åˆã¨ãªã£ã¦ã„ã‚‹ã®ã§ï¼Œ ã“れらã®å…¨ã¦ã®çµ„ã¿åˆã‚ã› $CS_1 \times S_2 \times \cdots\S_m$ を計算ã—， å…¨ã¦ã®å¯èƒ½ãªã‚±ãƒ¼ã‚¹ã®çµ„ã¿åˆã‚ã›ã‚’求ã‚る． \item 上ã§å¾—られãŸå„組ã¿åˆã‚ã›ã”ã¨ã«ï¼Œæ–°ãŸãªå­ã‚´ãƒ¼ãƒ«ã‚’生æˆã—， ãã®ã‚´ãƒ¼ãƒ«ã¸ã‚±ãƒ¼ã‚¹ã‚’å…¬ç†ã¨ã—ã¦è¿½åŠ ã™ã‚‹ï¼Ž \end{enumerate} 冗長ãªã‚±ãƒ¼ã‚¹ã®ç”ŸæˆãŒã‚ã‚Šå¾—ã‚‹ãŸã‚ã®ï¼Œãれらを検査ã—ã¦å–り除ã事㯠実装ã«éš›ã—ã¦æœ€é©åŒ–ã®æ„味ã§å®Ÿæ–½ã™ã‚‹ã‚‚ã®ã¨ã™ã‚‹ï¼Ž \begin{itemize} \item 上ã§è¿°ã¹ãŸ CA 処ç†ã‚’実施ã™ã‚‹ã™ã‚‹å‰ã«ï¼Œé©ç”¨å¯¾è±¡ã®ã‚´ãƒ¼ãƒ«ã«è¤‡æ•°ã® 証明対象ã®æ–‡ãŒå«ã¾ã‚Œã¦ã„ãŸã‚‰ï¼Œãれらを個々ã®å°ã‚´ãƒ¼ãƒ«ã«åˆ†é…ã—， ãã®å¾Œï¼Œä¸Šã® CA 処ç†ã‚’実施ã™ã‚‹ï¼Ž %%%% spoiler % \item CA ã§ç”Ÿæˆã•ã‚ŒãŸå„ゴールã«è¿½åŠ ã•ã‚ŒãŸå…¬ç†ã«ã¤ã„ã¦ã¯ï¼Œ % 暗黙的戦略 LE ã«ã‚ˆã‚‹æ•´æ•°ã®é †åºé–¢ä¿‚ã«é–¢ã™ã‚‹çŸ›ç›¾ã®æœ‰ç„¡ã‚’検査ã—， % 矛盾ãŒç™ºè¦‹ã•ã‚ŒãŸã‚‰ç›´ã¡ã«ãã®ã‚´ãƒ¼ãƒ«ã‚’ discharge ã™ã‚‹ï¼Ž \end{itemize} \subsection{RD: Reduction}\label{sec:RD} 戦略 RD ã¯ï¼Œä»¥ä¸‹ã‚’実施ã™ã‚‹ï¼š \begin{enumerate} \item ゴール内㧠true = false ãŒæ¼”ç¹¹å¯èƒ½ã‹ã©ã†ã‹ã‚’調ã¹ã‚‹ï¼Ž \begin{prooftree} \AXC{$\SP \vdash \tr \Rightarrow \fs$} \LeftLabel{[CT]} \UIC{$\SP \vdash \rho$} \end{prooftree} ã“ã‚ŒãŒå¯èƒ½ãªå ´åˆï¼ŒçŸ›ç›¾ãªã®ã§ã‚´ãƒ¼ãƒ«ã«å«ã¾ã‚Œã‚‹ã™ã¹ã¦ã®è¨¼æ˜Žå¯¾è±¡ã¨ã—ã¦ã„る文を discharge ã™ã‚‹ï¼Ž \item ゴールã«å«ã¾ã‚Œã‚‹è¨¼æ˜Žå¯¾è±¡ã®æ–‡ã™ã¹ã¦ã«ã¤ã„ã¦ä»¥ä¸‹ã‚’è¡Œã†ï¼Ž ã“ã“ã§ï¼Œè¨¼æ˜Žå¯¾è±¡ã®æ–‡ã‚’ \texttt{ l = r if C} ã¨ã™ã‚‹. \begin{enumerate} \item l，r ã‚ã‚‹ã„㯠C ã®ã©ã‚Œã‹ãŒåŸºåº•é …ã§ãªã‘ã‚Œã°ãªã«ã‚‚ã—ãªã„． ã“れらã®ã™ã¹ã¦ãŒåŸºåº•é …ã®å ´åˆã«ã®ã¿ä»¥ä¸‹ã‚’実施ã™ã‚‹ï¼Ž \item æ¡ä»¶éƒ¨ \texttt{C} ã®æ—¢ç´„å½¢(normal form)を求ã‚る． çµæžœãŒ \texttt{true} ãªã‚‰ã°æ¬¡ã¸é€²ã‚€(æ¡ä»¶éƒ¨ãŒå­˜åœ¨ã—ãªã„å ´åˆã¯ \texttt{true} ã¨ã¿ãªã•ã‚Œã‚‹ï¼‰ï¼Ž çµæžœãŒ \texttt{true} ã§ãªã‘ã‚Œã°æ–‡ã¯ã¾ã æˆç«‹ã—ãªã„ã¨ã¿ãªã™ï¼Ž \item æ–‡ã®å·¦è¾º \texttt{l} ã®è¦ç´„形を求ã‚る． \item æ–‡ã®å³è¾º \texttt{r} ã®è¦ç´„形を求ã‚る． \item å·¦å³ä¸¡è¾ºã®æ—¢ç´„å½¢ãŒã€Œç­‰ã—ã„ã€ã‹ã©ã†ã‹ã‚’調ã¹ã‚‹ï¼Ž ã“ã“ã§ï¼Œç­‰ã—ã„ã¨ã¯ä»¥ä¸‹ã®ã“ã¨ã‚’言ã†ï¼š \begin{itemize} \item é …ã®å½¢ãŒåŒã˜ï¼Ž \item é …ã®ãƒˆãƒƒãƒ—オペレータãŒã‚»ã‚ªãƒªãƒ¼å±žæ€§(associative, commutative ãªã©)ã‚’æŒã£ã¦ã„ãŸå ´åˆï¼Œ ãã®æ„味ã§ç­‰ã—ã„． \end{itemize} \item ç­‰ã—ã‘ã‚Œã°æˆç«‹ã™ã‚‹ã¨ã—，ãã®æ–‡ã‚’ discharge ã™ã‚‹ï¼Žç­‰ã—ãç„¡ã‘ã‚Œã°æˆç«‹ã—ãªã„，ã¨ã™ã‚‹ï¼Ž \end{enumerate} \item ゴールã«å«ã¾ã‚Œã‚‹ã™ã¹ã¦ã®æ–‡ãŒ discharge ã•ã‚ŒãŸå ´åˆï¼Œãã®ã‚´ãƒ¼ãƒ«ã¯è¨¼æ˜Žã•ã‚ŒãŸã‚‚ã®ã¨ã™ã‚‹ï¼Ž \end{enumerate} ä»–ã®æˆ¦ç•¥ã¯è¨¼æ˜Žã§ãã‚‹ã‹ã©ã†ã‹ã‚’直接調ã¹ãªã„ãŒï¼Œæˆ¦ç•¥ RD ã¯ã‚´ãƒ¼ãƒ«ãŒè¨¼æ˜Žã§ãã‚‹ã‹ã©ã†ã‹ã‚’上ã®ã‚ˆã†ã«ã—ã¦èª¿ã¹ã‚‹ï¼Ž \section{:spoiler : 暗黙的 RD é©ç”¨ã®åˆ¶å¾¡} \label{sec:spoiler-flag} \ref{sec:tactic-behaviour} ã§ã‚·ã‚¹ãƒ†ãƒ ã«çµ„ã¿è¾¼ã¿ã®å„戦略ã®å‹•ä½œã‚’è¿°ã¹ãŸï¼Ž RD 以外ã®æˆ¦ç•¥ã¯ãã®æˆ¦ç•¥ã«å¿œã˜ãŸæ–°ãŸãªä»®å®šã‚’å°Žå…¥ã—ãŸã‚Šã™ã‚‹ãªã©ã™ã‚‹ãŒï¼Œ ãã®çµæžœã‚´ãƒ¼ãƒ«ã«å«ã¾ã‚Œã‚‹æ–‡ãŒæˆç«‹ã™ã‚‹ã‹ã©ã†ã‹ã¯èª¿ã¹ãªã„． システム㯠\verb|:spoiler| ã¨ã„ã†å称ã®ãƒ•ãƒ©ã‚°ã‚’æŒã£ã¦ãŠã‚Šï¼Œ ã“れを on ã«è¨­å®šã™ã‚‹ã“ã¨ã«ã‚ˆã‚Šï¼Œæˆ¦ç•¥é©ç”¨å¾Œã®çŠ¶æ…‹ã§ã‚´ãƒ¼ãƒ«ãŒè¨¼æ˜Žå¯èƒ½ã‹ã‚’% 調ã¹ã‚‹ã‚ˆã†æŒ‡ç¤ºã™ã‚‹ã“ã¨ãŒã§ãる． ãŸã ã—戦略 SI ã¯ã“ã®å¯¾è±¡å¤–ã§ã‚り， ã“ã®ãƒ•ãƒ©ã‚°ãŒ on ã®å ´åˆã§ã‚‚\ref{sec:SI}ã§è¿°ã¹ãŸä»¥ä¸Šã®å‡¦ç†ã¯è¡Œã‚ãªã„． ã“ã®ãƒ•ãƒ©ã‚°ã®è¨­å®šã¯ \verb|:spoiler| コマンドã«ã‚ˆã£ã¦è¡Œã†ï¼Ž \begin{vvtm} \begin{simplev} :spoiler コマンド ::= :spoiler { on | off } \end{simplev} \end{vvtm} フラグã®åˆæœŸå€¤ã¯ off ã§ã‚る． ã“ã®ãƒ•ãƒ©ã‚°ãŒ on ã®å ´åˆã®å„戦略(SIãŠã‚ˆã³RDを除ã)ã®æŒ™å‹•ã¯ï¼Œ% \ref{sec:tactic-behaviour} ã§èª¬æ˜Žã—ãŸå‡¦ç†ã‚’実施後ã«æˆ¦ç•¥ RD を実施ã™ã‚‹ã®ã¨ç­‰ä¾¡ã§ã‚る． \subsubsection{:auto ã®å‹•ä½œ}\label{sec:auto-and-spoiler} \texttt{:auto} コマンドã«ã‚ˆã‚‹æˆ¦ç•¥é©ç”¨ã®å ´åˆã¯ï¼Œ :spoiler フラグ㌠on ã®çŠ¶æ…‹ã§å®Ÿè¡Œã•ã‚Œã‚‹ï¼Ž :auto コマンドã®å®Ÿè¡ŒãŒçµ‚了後ã¯ãƒ•ãƒ©ã‚°ã¯å…ƒã®çŠ¶æ…‹ã¨ãªã‚‹ï¼Ž \section{補助的戦略}\label{sec:suppliment} ã“ã“ã§ã¯æ¼”ç¹¹è¦å‰‡ã¨ã—ã¦ä½ç½®ä»˜ã‘られるもã®ã§ã¯ãªã„ãŒï¼Œ 証明éŽç¨‹ã§æœ‰ç”¨ã¨è€ƒãˆã‚‰ã‚Œã‚‹è£œåŠ©çš„ãªæˆ¦ç•¥ã«ã¤ã„ã¦èª¬æ˜Žã™ã‚‹ï¼Ž \subsection{NF:証明対象文ã®æ—¢ç´„å½¢}\label{sec:normal-form} \begin{itemize} \item ã‚る戦略をé©ç”¨ã—ãŸå¾Œã«ã‚´ãƒ¼ãƒ«ã«å«ã¾ã‚Œã‚‹è¨¼æ˜Žå¯¾è±¡ã®æ–‡ã« å«ã¾ã‚Œã‚‹åŸºåº•é …(ground term)ã‚’å…¨ã¦æ—¢ç´„å½¢(normal form)ã«ã™ã‚‹ï¼Ž \end{itemize} NF 㯠\verb|:apply| コマンドã®å¼•æ•°ã¨ã—ã¦ä¸Žãˆã‚‹ã“ã¨ãŒã§ãる． % \subsubsection{LE: é †åºé–¢ä¿‚ã§äº’ã„ã«çŸ›ç›¾ã™ã‚‹å…¬ç†ã®å­˜åœ¨æœ‰ç„¡ã‚’調ã¹ã‚‹}\label{sec:LE} % \begin{itemize} % \item ç¾åœ¨ã¯çµ„込㮠INT モジュールã§å®šç¾©ã•ã‚Œã¦ã„る，整数ã®å¤§å°é–¢ä¿‚ % \verb|<| 㨠\verb|<=| ã«ã¤ã„ã¦ã®ã¿æ¤œæŸ»ãŒå®Ÿæ–½ã•ã‚Œã‚‹ï¼Ž % \item LE ã¯ï¼ŒCA ã®ã‚±ãƒ¼ã‚¹ã‚ã‘ã«ã‚ˆã£ã¦ç”Ÿæˆã•ã‚ŒãŸå…¬ç†(仮定)を検査対象ã¨ã™ã‚‹ï¼Ž % \end{itemize} % \begin{prooftree} % \AXC{} % \LeftLabel{[LE]} % \UIC{$\SP \vdash \rho$} % \end{prooftree} \section{ãã®ä»–ã®ã‚³ãƒžãƒ³ãƒ‰}\label{sec:other-commands} \subsection{:init コマンド} \begin{itemize} \item \verb|:init| コマンドã¯è¨¼æ˜Žã®é€”中㧠lemma ã®å°Žå…¥ã¨åˆæœŸåŒ–ã‚’è¡Œã†ãŸã‚ã®ã‚³ãƒžãƒ³ãƒ‰ã§ã‚る． \item 構文 \begin{vvtm} \begin{simplev} :init コマンド ::= :init "["