nq-2.5.4/PackageInfo.g0000664000371700037170000001416713441553627015714 0ustar gap-jenkinsgap-jenkins############################################################################# ## ## PackageInfo.g NQ Werner Nickel ## ## Based on Frank Lübeck's template for PackageInfo.g. ## SetPackageInfo( rec( PackageName := "nq", Subtitle := "Nilpotent Quotients of Finitely Presented Groups", Version := "2.5.4", Date := "15/02/2019", # dd/mm/yyyy format License := "GPL-2.0-or-later", Persons := [ rec( LastName := "Horn", FirstNames := "Max", IsAuthor := false, IsMaintainer := true, Email := "max.horn@math.uni-giessen.de", WWWHome := "https://www.quendi.de/math", PostalAddress := Concatenation( "AG Algebra\n", "Mathematisches Institut\n", "Justus-Liebig-Universität Gießen\n", "Arndtstraße 2\n", "35392 Gießen\n", "Germany" ), Place := "Gießen, Germany", Institution := "Justus-Liebig-Universität Gießen" ), rec( LastName := "Nickel", FirstNames := "Werner", IsAuthor := true, IsMaintainer := false, # MH: Werner rarely (if at all) replies to emails sent to this # old email address. To discourage users from sending bug reports # there, I have disabled it here. #Email := "nickel@mathematik.tu-darmstadt.de", WWWHome := "http://www.mathematik.tu-darmstadt.de/~nickel/", ) ], Status := "accepted", CommunicatedBy := "Joachim Neubüser (RWTH Aachen)", AcceptDate := "01/2003", PackageWWWHome := "https://gap-packages.github.io/nq/", README_URL := Concatenation(~.PackageWWWHome, "README"), PackageInfoURL := Concatenation(~.PackageWWWHome, "PackageInfo.g"), ArchiveURL := Concatenation("https://github.com/gap-packages/nq/", "releases/download/v", ~.Version, "/nq-", ~.Version), ArchiveFormats := ".tar.gz .tar.bz2", SourceRepository := rec( Type := "git", URL := "https://github.com/gap-packages/nq" ), IssueTrackerURL := Concatenation( ~.SourceRepository.URL, "/issues" ), AbstractHTML := Concatenation( "This package provides access to the ANU nilpotent quotient ", "program for computing nilpotent factor groups of finitely ", "presented groups." ), PackageDoc := rec( BookName := "nq", ArchiveURLSubset := [ "doc" ], HTMLStart := "doc/chap0.html", PDFFile := "doc/manual.pdf", SixFile := "doc/manual.six", LongTitle := "Nilpotent Quotient Algorithm", Autoload := false ), Dependencies := rec( GAP := ">= 4.9", NeededOtherPackages := [ ["polycyclic", "2.11"] ], SuggestedOtherPackages := [ ], ExternalConditions := [ "needs a UNIX system with C-compiler", "needs GNU multiple precision library" ] ), AvailabilityTest := function() local path; # test for existence of the compiled binary path := DirectoriesPackagePrograms( "nq" ); if Filename( path, "nq" ) = fail then Info( InfoWarning, 1, "Package ``nq'': The executable program is not available" ); return fail; fi; return true; end, BannerString := Concatenation( "Loading nq ", ~.Version, " (Nilpotent Quotient Algorithm)\n", " by Werner Nickel\n", " maintained by Max Horn (max.horn@math.uni-giessen.de)\n" ), Autoload := false, TestFile := "tst/testall.g", Keywords := [ "nilpotent quotient algorithm", "nilpotent presentations", "finitely presented groups", "finite presentations ", "commutators", "lower central series", "identical relations", "expression trees", "nilpotent Engel groups", "right and left Engel elements", "computational" ], AutoDoc := rec( TitlePage := rec( Copyright := "\ License\ ©right; 1992-2007 Werner Nickel

\ The &nq; package is free software; \ you can redistribute it and/or modify it under the terms of the \ http://www.fsf.org/licenses/gpl.html \ as published by the Free Software Foundation; either version 2 of the License, \ or (at your option) any later version.", Acknowledgements := "\ The author of ANU NQ is Werner Nickel.\ \

The development of this program was started while the\ author was supported by an Australian National University PhD\ scholarship and an Overseas Postgraduate Research Scholarship.\ \

Further development of this program was done with support from the\ DFG-Schwerpunkt-Projekt \"`Algorithmische Zahlentheorie und Algebra\"'.\ \

Since then, maintenance of ANU NQ has been taken over by Max Horn. All\ credit for creating ANU NQ still goes to Werner Nickel as sole author.\ However, bug reports and other inquiries should be sent to Max Horn.\ \

The following are the original acknowledgements by Werner Nickel.\ \

Over the years a number of people have made useful suggestions\ that found their way into the code: Mike Newman, Michael\ Vaughan-Lee, Joachim Neubüser, Charles Sims.\ \

Thanks to Volkmar Felsch and Joachim Neubüser for their careful\ examination of the package prior to its release for GAP 4.\ \

This documentation was prepared with the GAPDoc\ package by Frank Lübeck and Max Neunhöffer.", Subtitle := "\ A ⪆ 4 Package
\ computing nilpotent factor groups of finitely presented groups
\
\ Based on the ANU Nilpotent Quotient Program", # HACK: We don't want a TitleComment, for now the best we can do is show an empty one TitleComment := "", ), ), )); nq-2.5.4/CHANGES0000664000371700037170000001567713441553627014377 0ustar gap-jenkinsgap-jenkins=========================================================================== This file describes changes in the GAP package 'nq'. =========================================================================== 2.5.4 (2019-02-15) - Update build system for compatibility with GAP 4.9 and later - Various other janitorial updates 2.5.3 (2016-03-08) - Maintenance release 2.5.2 (2016-01-07) - Move website to http://gap-packages.github.io/nq/ 2.5.1 (2014-04-02) * Fix linker error on Unix systems other than Mac OS X * Remove GAP function NqBuildManual (use the makedoc.g script instead) 2.5 (2014-04-01) * Renamed configure option "--with-gap-root" to "--with-gaproot" in order to match the io and orb packages more closely. * Changed build system to use automake * Changed how the manual is built (now AutoDoc is used to automatically generate the title page from PackageInfo.g) * Add GPL license file to make clear that nq is licensed under the GPL (after discussion with Werner Nickel and getting his explicit approval) * Moved the homepage to GitHub * Updated Max Horn's contact details 2.4 (2012-01-12) * Fixed crash on some systems caused by a long standing memory management bug. * Fixed crash on certain systems caused by exponents being sometimes treated as 64bit words, and sometimes as 32bit words. * Fixed spurious warnings when running "configure" that could occur when using --with-gmp-prefix * Fixed a warning when using nq in GAP versions before 4.5. * Improved build system: - Improved GMP detection in configure script; it now checks if GAP built a GMP library, and if so, uses that. - Unified how the user can choose which GAP config to use in the configure script: Instead of a --with-gap-config argument to configure, now a CONFIGNAME environment variable is used. This matches how GAP's own configure script works, and also various other packages. - Added support for ABI override via ABI environment variable - Changed --with-gmp-prefix to --with-gmp, with exact same semantics as the --with-gmp option of GAP's configure. 2.3 (2011-09-15) * Removed maintainer flag from Werner, added Max as new maintainer * Synced cnf/config.* files with the ones used by GAP * Rewrote and improved configure script and the build system * Added '--with-gap-dir' option to configure * Fixed compilation on modern day systems (e.g. Mac OS X), by including stdlib.h and string.h instead of malloc.h * Stopped insisting on static linking the nq binary * Dropped compatibility with GAP versions prior to 4.4 * Made test cases ignore the version string nq outputs * Fixed crash on Mac OS X when compiling in 64 bit mode * Updated documentation * Enabled extra warnings for the C code, and fix many of resulting warnings * Converted History file to this CHANGES file. 2.2 (2007-02-07) * filter out the identity word as relator 2.1 (2003-10-20) * removed instances of `share package' * removed obsolete files doc/manual.in gap/nqrest.gi 2.0 (2003-02-12) * GAP4 print routines (gap.c) added. The -g option now prints a pc-presentation in GAP4 style at the end of a run. * Evaluation of an Engel identity redefines the Commute array. As a consequence, commutator calculations are carried out only with the precision required to evaluate an iterated commutator. This gives a speedup of a factor of 3-4 in Engel-4 and Engel-5 groups. * Implementation of parsing Engel-n commutators and evaluation of those commutators with redefined Commute[] arrays. * turned NQ into a GAP 4 package * modified the GAP 4 output routines * wrote new setup for nq using autoconf * replaced in glimt.c all BSD compatible integer functions by GMP functions. Now libmp.a is not needed anymore. * extended the input grammar to accept identical generators as part of the generator list seperated from the other generators by a semicolon * added machinery to evaluate identical relations * added a combinatorial collector * reconstruction of the integer matrix code * rewrite of the examples code 1.2 (1998-03-??) * added option that allows to check the Engel condition in reverse order * added -m option that outputs all non-zero vectors handed to addRow() to file. * built integer overflow check into function Number() in presentation.c . * replaced the function Commutator() in collect.c. Instead of using Solve to solve uv x = vu the equation is solved directly. * Added support for metabelian identities. * Added the option -p to toggle the printing of the epimorphism and the nilpotent quotient at the end of a run. I also added code to print the definitions of each generator of weight at least 2. * print statements for the definitions of new generators. * added option -E to reverse the order in which Engel generators are processes. * NQ now reads from stdin when the file name argument is missing 1.1e (1994-08-04) * fixed printing of preimages in PrintEpim() in relation.c. * the error function of Collect() now prints the generator which caused the error. Collect() was also slightly reformatted. 1.1d (1994-03-??) * changed the functions buildPairs() and buildWord() such that they also build words with negative exponents. This can be switched off using the option -s (s for semigroup words). * Added a check for the identity matrix to the function addRow(). A flag EarlyStop is set if the check is positive. This flag is now used in the files consistency.c, relations.c and engel.c to stop the computation as soon as all new generators are eliminated. * Fixed the last printing of the total runtime in main(). * changed the function evalEngel() in engel.c such that it stops checking instances of the Engel law as soon as all instances of a certain weight did not yield anything new. This is not proved to be mathematically sound. * the function buildPairs() in engel.c now checks if an instance [x, ny] of the n-th Engel law is trivial for weight reasons. * the function Collect() in collect.c aborts a run if it runs into an integer overflow. * the functions outputMatrix() and printGapMatrix() in glimt.c have been changed to print only rows and columns whose pivot entry is not 1. * the function MatrixToExpVec() in glimt.c now frees the large matrix row by row. * Update the README file. 1.1c (1993-08-12) * modified the file engel.c to allow checking of more identities. This entry has been made in Oct 93; it has to be checked what the modifications are and which options have been added. 1.1b (1993-02-26) * added the option -a to nq and the corresponding output routine outputMatrix() to glimt.c. 1.1 (1993-01-22) * introduction of this file and the file README * added option -t to nq * improvements to testNq * added target clean to the make file 1.0 (1992-12-??) * Version 1.0 of the ANU NQ nq-2.5.4/README0000664000371700037170000000642713441553627014255 0ustar gap-jenkinsgap-jenkins The ANU Nilpotent Quotient Program ================================== Nilpotent quotients ------------------- The lower central series G_i of a group G can be defined inductively as G_0 = G, G_i = [G_(i-1),G]. G is said to have nilpotency class c if c is the smallest non-zero integer such that G_c = 1. If N is a normal subgroup of G and G/N is nilpotent, then N contains G_i for some non-negative integer i. G has infinite nilpotent quotients if and only if G/G_1 is infinite. The i-th (i > 1) factor G_(i-1)/G_i of the lower central series is generated by the elements [g,h]G_i, where g runs through a set of representatives of G/G_1 and h runs through a set of representatives of G_(i-2)/G_(i-1). Any finitely generated nilpotent group is polycyclic and, therefore, has a subnormal series with cyclic factors. Such a subnormal series can be used to represent the group in terms of a polycyclic presentation. The ANU NQ computes successively the factor groups modulo the terms of the lower central series. Each factor group is represented by a special form of polycyclic presentation, a nilpotent presentation, that makes use of the nilpotent structure of the factor group. Chapters 9 and 11 of the book by C.C. Sims, "Computing with finitely presented groups", discusses polycyclic presentations and a nilpotent quotient algorithm. A description of this implementation is contained in Werner Nickel (1996) "Computing Nilpotent Quotients of Finitely Presented Groups" in Dimacs Series in Discrete Mathematics and Theoretical Computer Science, Volume 25, pp 175-191. About this version ------------------ This directory contains the Australian National University Nilpotent Quotient Program (ANU NQ), an implementation of a nilpotent quotient algorithm in C. This implementation has been developed in a Unix environment and Unix is currently the only operating system supported. It runs on a number of different Unix versions. An earlier version of the ANU NQ is also available as part of quotpic (Derek F. Holt, Sarah Rees: A graphics system for displaying finite quotients of finitely presented groups. DIMACS Workshop on Groups and Computation, AMS-ACM 1991). How to install the ANU NQ ------------------------- Please refer to the manual for installation instructions. How to use the ANU NQ --------------------- Please refer to the manual for instructions on how to use ANU NQ via the GAP interface or directly via the command line interface. Acknowledgements ---------------- The author of ANU NQ is Werner Nickel. The development of this program was started while the author was supported by an Australian National University PhD scholarship and an Overseas Postgraduate Research Scholarship. Further development of this program was done while the author was supported by the DFG-Schwerpunkt-Projekt "`Algorithmische Zahlentheorie und Algebra"'. Since then, maintenance of ANU NQ has been taken over by Max Horn. All credit for creating ANU NQ still goes to Werner Nickel as sole author. However, bug reports and other inquiries should be sent to Max Horn. Contact addresses ----------------- Bug reports and other requests should be sent to the issue tracker https://github.com/gap-packages/nq/issues nq-2.5.4/TODO0000664000371700037170000001103313441553627014052 0ustar gap-jenkinsgap-jenkins* document --with-gaproot in README / manual * make a new release * start using gh-pages * Release process: - add script which automates updating the version in all places: PackageInfo.g, configure.ac, ... this is currently quite easy to forget. Also, the release date should be updated in files as necessary, including PackageInfo.g, CHANGES, ... - automate packaging release tarball automatic via a script - do *not* prebuild docs anymore, instead, ensure that docs are automatically built when the user builds nq. * Buildsystem: - consider using a single Makefile, or alternatively automake (automake now has a single-Makefile mode!) - add dependency tracking - add description in the manual of how to use CONFIGNAME, ABI, --with-gap, --with-gmp, etc * Test suite: - Add a "proper" test suite in tst - Take a look at gap/nq.tst, possibly move this into tst/ - Maybe example should become part of tst/ respective part of the test suite * Add EpimorphismNilpotentQuotientOp method(s) * Explain in the README how to build the documentation. * Do not install any writeable global objects, at least not with a prefix; consider switching to GAP 4.5 namespaces * README should explain the full build procedure, esp. regarding 32 vs. 64 bit, and support for GAP configs: ./configure CONFIGNAME=default32 ABI=32 * Consider honoring CFLAGS etc. passed as parameter to configure * Do not call Info(InfoWarning,1,"..."); in AvailabilityTest. Instead use LogPackageLoadingMessage; however, that's only available in GAP 4.5+, so either don't log a warning at all, or somehow do this logging in a way that doesn't harm GAP 4.4 compatibility. * Document NilpotentQuotient methods for expression trees. ======================================================================= THE FOLLOWING TODOS ARE TAKEN FROM THE OLD README FILE. SOME OF THESE MAY NO LONGER BE RELEVANT. READ WITH CAUTION. ======================================================================= On the agenda for future versions of the program are the following items : Use combinatorial collection Improve the speed of checking the Engel conditions Avoid consistency tests used for tail computations Speed up elimination of generators and extending the pc pres Use column permutations in the Kannan-Bachem algorithm Add more comments to the code Use the mpz-interface of the GNU multiple precision package Find a more satisfying solution for generating sets for each central factor. Multiple precision integers as exponents of generators Better control over the output Output computed nilpotent quotient if the program times out ======================================================================= THE FOLLOWING TODOS ARE TAKEN FROM WERNER'S OLD TODO FILE. SOME OF THESE MAY NO LONGER BE RELEVANT. READ WITH CAUTION. ======================================================================= This is a list of tasks which need to be done before nq is released as a GAP 4 package. 17 Aug 2002: None if the following items are critical. Therefore, I postpone all of this until after the package is released. -- The configure script should check if the package is installed as a GAP package -- NilpotentQuotient() should return a quotient system. -- Update the test files and testNq. -- Add access to the Engel options. -- If configure cannot find certain components, then one should run configure again and not make with the correct options. This way, configure can remember the correct values and it will suffice make. -- Update installation procedure -- It should be possible to define the nilpotency class as part of the input file. -- Create an info class InfoANU_NQ and put Info() statements into the code. -- Should I keep the last nq-record for what purpose? -- The exit codes of the standalone should be interpreted. For this I need to go through the code and make sure that each exit events has its own exit code. nq todos: -- The evaluation of commutators should decrease the class by one before computing the two entries of the commutators. (I have done this. There is some cleaning up necessary as the class is sometimes negative) -- More statistics for the integer routines, for example, the density of the input. -- Make sure that the values returned when the nq exits are correct. Then the calling GAP script knows why nq has terminated prematurely. 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It is safest to attach them to the start of each source file to most effectively convey the exclusion of warranty; and each file should have at least the "copyright" line and a pointer to where the full notice is found. Copyright (C) This program is free software; you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation; either version 2 of the License, 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. See the GNU General Public License for more details. You should have received a copy of the GNU General Public License along with this program; if not, write to the Free Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA Also add information on how to contact you by electronic and paper mail. If the program is interactive, make it output a short notice like this when it starts in an interactive mode: Gnomovision version 69, Copyright (C) year name of author Gnomovision comes with ABSOLUTELY NO WARRANTY; for details type `show w'. This is free software, and you are welcome to redistribute it under certain conditions; type `show c' for details. The hypothetical commands `show w' and `show c' should show the appropriate parts of the General Public License. Of course, the commands you use may be called something other than `show w' and `show c'; they could even be mouse-clicks or menu items--whatever suits your program. You should also get your employer (if you work as a programmer) or your school, if any, to sign a "copyright disclaimer" for the program, if necessary. Here is a sample; alter the names: Yoyodyne, Inc., hereby disclaims all copyright interest in the program `Gnomovision' (which makes passes at compilers) written by James Hacker. , 1 April 1989 Ty Coon, President of Vice This General Public License does not permit incorporating your program into proprietary programs. If your program is a subroutine library, you may consider it more useful to permit linking proprietary applications with the library. If this is what you want to do, use the GNU Library General Public License instead of this License. nq-2.5.4/VERSION0000664000371700037170000000000513441553627014427 0ustar gap-jenkinsgap-jenkins2.5.4nq-2.5.4/makedoc.g0000664000371700037170000000041113441553627015133 0ustar gap-jenkinsgap-jenkins# # Generate the manual using AutoDoc # if fail = LoadPackage("AutoDoc", ">= 2016.01.21") then Error("AutoDoc 2016.01.21 or newer is required"); fi; AutoDoc( rec( scaffold := rec( MainPage := false ) ) ); PrintTo("VERSION", GAPInfo.PackageInfoCurrent.Version); nq-2.5.4/init.g0000664000371700037170000000035013441553627014475 0ustar gap-jenkinsgap-jenkins############################################################################# ## #W init.g GAP 4 package 'nq' Werner Nickel ## ReadPackage("nq", "gap/nq.gd"); ReadPackage("nq", "gap/exptree.gd"); nq-2.5.4/read.g0000664000371700037170000000041413441553627014446 0ustar gap-jenkinsgap-jenkins############################################################################# ## #W read.g GAP 4 package 'nq' Werner Nickel ## ReadPackage("nq", "gap/nqpcp.gi"); ReadPackage("nq", "gap/nq.gi"); ReadPackage("nq", "gap/exptree.gi" ); nq-2.5.4/gap/nq.gd0000664000371700037170000000240313441553627015064 0ustar gap-jenkinsgap-jenkins############################################################################## ## #A nq.gd Oktober 2002 Werner Nickel ## ## This file contains the declaration part of the interface to my NQ program. ## DeclareGlobalFunction( "NqReadOutput" ); DeclareGlobalFunction( "NqStringFpGroup" ); DeclareGlobalFunction( "NqStringExpTrees" ); DeclareGlobalFunction( "NqInitFromTheLeftCollector" ); DeclareGlobalFunction( "NqPcpGroupByCollector" ); DeclareGlobalFunction( "NqPcpGroupByNqOutput" ); DeclareGlobalFunction( "NqPcpElementByWord" ); DeclareGlobalFunction( "NqElementaryDivisors" ); DeclareGlobalFunction( "NqEpimorphismByNqOutput" ); DeclareGlobalFunction( "NilpotentEngelQuotient" ); DeclareGlobalFunction( "LowerCentralFactors" ); DeclareGlobalVariable( "NqGlobalVariables" ); DeclareGlobalVariable( "NqDefaultOptions" ); DeclareGlobalVariable( "NqOneTimeOptions" ); DeclareGlobalVariable( "NqRuntime" ); DeclareGlobalVariable( "NqGapOutput" ); DeclareOperation( "NilpotentQuotient", [ IsObject, IsPosInt ] ); DeclareOperation( "NilpotentQuotientIdentical", [ IsObject, IsObject, IsPosInt ] ); DeclareOperation( "NqEpimorphismNilpotentQuotient", [ IsObject, IsPosInt ] ); DeclareInfoClass( "InfoNQ" ); nq-2.5.4/gap/exptree.gi0000664000371700037170000002207113441553627016132 0ustar gap-jenkinsgap-jenkins############################################################################## ## #A exptree.gi Oktober 2002 Werner Nickel ## ## This file contains an implementation of simple arithmetic expression that ## that avoid expanding an expression into a string of symbols. ## ExpTreeNodeTypes := rec( \* := 1, \/ := 2, \^ := 3, \= := 4, Comm := 5, Conj := 6, Variable := 7, Integer := 8 ); NewNode := function( node ) return Objectify( TYPE_EXPR_TREE, node ); end; NewLeaf := function( name ) return NewNode( rec( type := ExpTreeNodeTypes.Variable, left := ~, right := ~, name := name ) ); end; ############################################################################# ## #F ExpressionTrees . . . . . . . . . . . create leaves for expression trees ## ## The function can be called in two different ways: ## ## The first argument is a positive integer: This is the number of ## expression symbols to be created. It can be followed by a strings as an ## optional second argument specifying the prefix for the names of the ## sysmbols. ## ## All arguments are strings: These are interpreted as the name of the ## expression symbols to be created. ## ExpressionTrees := function( arg ) local prefix, m, symbols; prefix := "x"; if Length(arg) = 1 and IsInt( arg[1] ) then m := arg[1]; symbols := List( [1..m], i->Concatenation( prefix, String(i) ) ); elif Length(arg) = 2 and IsInt( arg[1] ) and IsString(arg[2]) then m := arg[1]; prefix := arg[2]; symbols := List( [1..m], i->Concatenation( prefix, String(i) ) ); elif ForAll( arg, IsString ) then symbols := arg; else Error( "Usage: ExpressionTrees( [, ] | )" ); fi; return List( symbols, NewLeaf ); end; NewIntegerLeaf := function( n ) return NewNode( rec( type := ExpTreeNodeTypes.Integer, left := ~, right := ~, value := n ) ); end; InstallMethod( \*, [IsExprTree, IsExprTree], function( l, r ) return NewNode( rec( type := ExpTreeNodeTypes.\*, left := l, right := r ) ); end ); InstallMethod( \/, [IsExprTree, IsExprTree], function( l, r ) return NewNode( rec( type := ExpTreeNodeTypes.\/, left := l, right := r ) ); end ); InstallMethod( \^, [IsExprTree, IsExprTree], function( l, r ) return NewNode( rec( type := ExpTreeNodeTypes.\^, left := l, right := r ) ); end ); InstallMethod( \^, [IsExprTree, IsInt], function( l, r ) return NewNode( rec( type := ExpTreeNodeTypes.\^, left := l, right := NewIntegerLeaf( r ) ) ); end ); InstallMethod( \=, [IsExprTree, IsExprTree], function( l, r ) return NewNode( rec( type := ExpTreeNodeTypes.\=, left := l, right := r ) ); end ); InstallMethod( Comm, [IsExprTree, IsExprTree], function( l, r ) return NewNode( rec( type := ExpTreeNodeTypes.Comm, left := l, right := r ) ); end ); InstallMethod( \<, [IsExprTree, IsExprTree], function( l, r ) if l!.type = ExpTreeNodeTypes.Variable and r!.type = ExpTreeNodeTypes.Variable then return l!.name < r!.name; fi; return fail; end ); ExpTreePrintFunctions := []; ExpTreePrintingLeftNormed := false; ExpTreePrintFunctions[ ExpTreeNodeTypes.\* ] := function( stream, t ) PrintTo( stream, String( t!.left ) ); PrintTo( stream, "*" ); PrintTo( stream, String( t!.right ) ); end; ExpTreePrintFunctions[ ExpTreeNodeTypes.\/ ] := function( stream, t ) PrintTo( stream, String( t!.left ) ); PrintTo( stream, "/" ); if t!.right!.type = ExpTreeNodeTypes.\* then PrintTo( stream, "(", String( t!.right ), ")" ); else PrintTo( stream, String( t!.right ) ); fi; end; ExpTreePrintFunctions[ ExpTreeNodeTypes.\^ ] := function( stream, t ) if t!.left!.type in [ExpTreeNodeTypes.\*, ExpTreeNodeTypes.\/, ExpTreeNodeTypes.\^] then PrintTo( stream, "(", String( t!.left ), ")" ); else PrintTo( stream, String( t!.left ) ); fi; PrintTo( stream, "^" ); if t!.right!.type in [ExpTreeNodeTypes.\*, ExpTreeNodeTypes.\/, ExpTreeNodeTypes.\^] then PrintTo( stream, "(", String( t!.right ), ")" ); else PrintTo( stream, String( t!.right ) ); fi; end; ExpTreePrintFunctions[ ExpTreeNodeTypes.Comm ] := function( stream, t ) local saveFlag; if not ExpTreePrintingLeftNormed then if NqGapOutput then PrintTo( stream, "Comm( " ); else PrintTo( stream, "[ " ); fi; fi; saveFlag := ExpTreePrintingLeftNormed; # ExpTreePrintingLeftNormed := true; PrintTo( stream, String( t!.left ) ); ExpTreePrintingLeftNormed := saveFlag; PrintTo( stream, ", " ); PrintTo( stream, String( t!.right ) ); if not ExpTreePrintingLeftNormed then if NqGapOutput then PrintTo( stream, " )" ); else PrintTo( stream, " ]" ); fi; fi; end; ExpTreePrintFunctions[ ExpTreeNodeTypes.Conj ] := function( stream, t ) if t!.left!.type in [ExpTreeNodeTypes.\*, ExpTreeNodeTypes.\/, ExpTreeNodeTypes.\^ ] then PrintTo( stream, "(", String( t!.left ), ")" ); else PrintTo( stream, String( t!.left ) ); fi; PrintTo( stream, "^" ); if t!.right!.type in [ExpTreeNodeTypes.\*, ExpTreeNodeTypes.\/, ExpTreeNodeTypes.\^ ] then PrintTo( stream, "(", String( t!.right ), ")" ); else PrintTo( stream, String( t!.right ) ); fi; end; ExpTreePrintFunctions[ ExpTreeNodeTypes.\= ] := function( stream, t ) PrintTo( stream, String( t!.left ) ); PrintTo( stream, "=" ); PrintTo( stream, String( t!.right ) ); end; ExpTreePrintFunctions[ ExpTreeNodeTypes.Integer ] := function( stream, t ) PrintTo( stream, String( t!.value ) ); end; ExpTreePrintFunctions[ ExpTreeNodeTypes.Variable ] := function( stream, t ) PrintTo( stream, String( t!.name ) ); end; InstallMethod( PrintObj, [IsExprTree], function( t ) local save; save := NqGapOutput; NqGapOutput := true; Print( String( t ) ); NqGapOutput := save; end ); InstallMethod( Display, [IsExprTree], Print ); InstallMethod( ViewObj, [IsExprTree], Print ); InstallMethod( String, [IsExprTree], function( t ) local string, stream; string := []; stream := OutputTextString( string, false ); ExpTreePrintFunctions[ t!.type ]( stream, t ); return string; end ); ExpTreeEvalFunctions := []; EvalExpTree := function( t ) return ExpTreeEvalFunctions[ t!.type ]( t!.left, t!.right ); end; ExpTreeEvalFunctions[ ExpTreeNodeTypes.\* ] := function( t1, t2 ) return EvalExpTree( t1 ) * EvalExpTree( t2 ); end; ExpTreeEvalFunctions[ ExpTreeNodeTypes.\/ ] := function( t1, t2 ) return EvalExpTree( t1 ) / EvalExpTree( t2 ); end; ExpTreeEvalFunctions[ ExpTreeNodeTypes.\^ ] := function( t1, t2 ) return EvalExpTree( t1 ) ^ EvalExpTree( t2 ); end; ExpTreeEvalFunctions[ ExpTreeNodeTypes.Comm ] := function( t1, t2 ) return Comm( EvalExpTree( t1 ), EvalExpTree( t2 ) ); end; ExpTreeEvalFunctions[ ExpTreeNodeTypes.Conj ] := function( t1, t2 ) return EvalExpTree( t1 ) ^ EvalExpTree( t2 ); end; ExpTreeEvalFunctions[ ExpTreeNodeTypes.\= ] := function( t1, t2 ) return EvalExpTree( t1 ) / EvalExpTree( t2 ); end; ExpTreeEvalFunctions[ ExpTreeNodeTypes.Variable ] := function( t1, t2 ) return t1!.value; end; ExpTreeEvalFunctions[ ExpTreeNodeTypes.Integer ] := function( t1, t2 ) return t1!.value; end; EvaluateExpTree := function( t, leaves, values ) local i, result; for i in [1..Length(leaves)] do leaves[i]!.value := values[i]; od; result := EvalExpTree( t ); for i in [1..Length(leaves)] do Unbind( leaves[i]!.value ); od; return result; end; VariablesOfExpTree := function( t ) if t!.type = ExpTreeNodeTypes.Variable then return [ t ]; elif t!.type = ExpTreeNodeTypes.Integer then return []; else return Union( VariablesOfExpTree( t!.left ), VariablesOfExpTree( t!.right ) ); fi; end; DepthOfExpTree := function( t ) if t!.type = ExpTreeNodeTypes.Variable then return 0; elif t!.type = ExpTreeNodeTypes.Integer then return 0; else return 1 + Maximum( DepthOfExpTree( t!.left ), DepthOfExpTree( t!.right ) ); fi; end; FpGroupExpTree := function( p ) local F, gens, rels; F := FreeGroup( Length( p.generators ) ); gens := GeneratorsOfGroup( F ); rels := List( p.relations, r->EvaluateExpTree( r, p.generators, gens ) ); return F / rels; end; nq-2.5.4/gap/nqpcp.gi0000664000371700037170000000446113441553627015602 0ustar gap-jenkinsgap-jenkins############################################################################## ## #A nqpcp.gi Mai 1999 Werner Nickel ## ## This file contains functions for the interface to the package ## ``polycyclic''. ## ############################################################################# ## #F NqInitFromTheLeftCollector . . . . . . . . . initialise an ftl collector ## InstallGlobalFunction( NqInitFromTheLeftCollector, function( nqrec ) local ftl, g, rel; ftl := FromTheLeftCollector( nqrec.NrGenerators ); for g in [1..nqrec.NrGenerators] do SetRelativeOrder( ftl, g, nqrec.RelativeOrders[ g ] ); od; for rel in nqrec.Powers do SetPower( ftl, rel[1], rel{[2..Length(rel)]} ); od; for rel in nqrec.Conjugates do SetConjugate( ftl, rel[1], rel[2], rel{[3..Length(rel)]} ); od; SetFilterObj( ftl, IsConfluent ); UpdatePolycyclicCollector( ftl ); return ftl; end ); ############################################################################# ## #F NqPcpGroupByCollector . . . . . . . . . pcp group from collector, set lcs ## InstallGlobalFunction( NqPcpGroupByCollector, function( coll, nqrec ) local G, gens, ranks, lcs, a, z, r; G := PcpGroupByCollector( coll ); gens := GeneratorsOfGroup( G ); ranks := nqrec.Ranks; lcs := [ G ]; a := 1; z := nqrec.NrGenerators; for r in ranks do a := a + r; Add( lcs, SubgroupNC( G, gens{[a..z]} ) ); od; G!.LowerCentralFactors := List( nqrec.LowerCentralFactors, NqElementaryDivisors ); SetLowerCentralSeriesOfGroup( G, lcs ); SetIsNilpotentGroup( G, true ); return G; end ); ############################################################################# ## #F NqPcpGroupByNqOutput . . . . . . . . . pcp group from nq output, set lcs ## InstallGlobalFunction( NqPcpGroupByNqOutput, nqrec -> NqPcpGroupByCollector( NqInitFromTheLeftCollector(nqrec), nqrec ) ); ############################################################################# ## #F NqPcpElementByWord . . . . . . pcp element from generator exponent list ## InstallGlobalFunction( "NqPcpElementByWord", function( coll, w ) return PcpElementByGenExpList( coll, w ); end ); nq-2.5.4/gap/nq.gi0000664000371700037170000006051213441553627015076 0ustar gap-jenkinsgap-jenkins############################################################################## ## #A nq.gi Oktober 2002 Werner Nickel ## ## This file contains the interface to my NQ program. ## ############################################################################# ## #V NqRuntime . . . . . . . . . . reports the run time used by the nq program ## ## Initialize the runtime variable. ## MakeReadWriteGlobal( "NqRuntime" ); NqRuntime := 0; MakeReadOnlyGlobal( "NqRuntime" ); ############################################################################# ## #V NqGapOutput ## MakeReadWriteGlobal( "NqGapOutput" ); NqGapOutput := false; ############################################################################# ## #V NqDefaultOptions. . . . . . . . . . . default options for the nq program ## ## The default options are: ## -g Produce GAP output including a GAP readable presentation of ## the nilpotent quotient ## -p do not print the pc-presentation of the nilpotent quotient ## -C use the combinatorial collector ## -s check only instances with semigroup words - this is only ## relevant if one of the Engel options is used ## InstallValue( NqDefaultOptions, [ "-g", "-p", "-C", "-s" ] ); ############################################################################# ## #V NqOneTimeOptions . . . . . . . . . . one time options for the nq program ## ## This variable can be used to pass a list of options to the next call of ## the nq program. ## MakeReadWriteGlobal( "NqOneTimeOptions" ); NqOneTimeOptions := []; ############################################################################# ## #V NqParameterStrings . . . . . . . . strings for options to the standalone ## ## This list contains strings for the options that are used by ## NilpotentQuotient(). ## NqParameterStrings := [ "group", ## These three options provide "exptrees", ## a way for specifying a "input_file", ## finitely presented group. "input_string", "output_file", ## This option is used to keep ## the output of the standalone. ## Option to specify the "class", ## nilpotency class of the ## quotient. ## Option to specify identical "idgens", ## generators. "engel", ## Specifies an Engel law "options", ## A list of options to pass to the ## standalone. ]; ## ## There are several different ways to specify the finitely presented group ## for the nilpotent quotient algorithm: ## ## As ## a finitely presented group ## a finitely presented group given by expression trees ## an input file for the standalone ## a string in the input format of the standalone ## NqPrepareInput := function( params ) local str; if IsBound( params.group ) then str := NqStringFpGroup( params.group, params.idgens ); params.input_string := str; params.input_stream := InputTextString( str ); fi; if IsBound( params.exptrees ) then str := NqStringExpTrees( params.exptrees, params.idgens ); params.input_string := str; params.input_stream := InputTextString( str ); fi; if IsBound( params.input_string ) then str := params.input_string; params.input_string := str; params.input_stream := InputTextString( str ); fi; if IsBound( params.input_file ) then params.input_stream := InputTextFile( params.input_file ); fi; end; ## ## There are several different ways to specify the output for the nilpotent ## quotient algorithm: ## ## As ## an output stream ## an output file (which is kept for later use) ## NqPrepareOutput := function( params ) if IsBound( params.output_file ) then params.output_stream := OutputTextFile( params.output_file, false ); else params.output_string := ""; params.output_stream := OutputTextString( params.output_string, false ); fi; end; NqCompleteParameters := function( params ) local opt_rec, options, opt; if OptionsStack <> [] then opt_rec := OptionsStack[ Length(OptionsStack) ]; options := RecNames( opt_rec ); for opt in options do if not opt in NqParameterStrings then Error( "unknown option ", opt ); return fail; fi; if IsBound( params.(opt) ) then Error( "Option ", opt, " already given as argument" ); return fail; fi; if IsBound( params.(opt) ) then InfoWarning( "overwriting parameter with option '", opt, "'" ); fi; if opt = "group" and IsRecord( opt_rec.(opt) ) then params.exptrees := opt_rec.(opt); else params.(opt) := opt_rec.(opt); fi; od; fi; if not IsBound( params.idgens ) then params.idgens := []; fi; NqPrepareInput( params ); NqPrepareOutput( params ); if not IsBound( params.options ) then params.options := []; fi; if InfoLevel( InfoNQ ) > 0 then Add( params.options, "-v" ); fi; params.options := Concatenation( NqDefaultOptions, params.options, NqOneTimeOptions ); NqOneTimeOptions := []; if IsBound( params.class ) then Add( params.options, String(params.class) ); fi; if IsBound( params.engel ) then Add( params.options, "-e" ); Add( params.options, String(params.engel) ); fi; end; ############################################################################# ## #F NqCallANU_NQ . . . . . . . . . . . the function that calls the nq program ## NqCallANU_NQ := function( params ) local nq, ret; NqCompleteParameters( params ); nq := Filename( DirectoriesPackagePrograms("nq") , "nq" ); Info( InfoNQ, 3, "Calling ANU NQ with: ", params, "\n" ); ret := Process( DirectoryCurrent(), ## executing directory nq, ## executable params.input_stream, ## input stream params.output_stream, ## output stream params.options ); ## command line arguments Info( InfoNQ, 3, "ANU NQ returns ", ret, "\n" ); CloseStream( params.input_stream ); CloseStream( params.output_stream ); if IsBound( params.output_file ) then return NqReadOutput( InputTextFile( params.output_file ) ); else return NqReadOutput( InputTextString( params.output_string ) ); fi; end; ############################################################################# ## #F NqGlobalVariables . . global variables to communicate with the nq program ## InstallValue( NqGlobalVariables, [ "NqLowerCentralFactors", ## factors of the LCS "NqNrGenerators", "NqClass", "NqRanks", "NqRelativeOrders", "NqImages", ## the epimorphism "NqPowers", "NqConjugates", "NqRuntime", ] ); ############################################################################# ## #F NqReadOutput . . . . . . . . . . . . . . . . read output from nq program ## InstallGlobalFunction( NqReadOutput, function( stream ) local tmp, var, var2, result; tmp := "local result,"; Append(tmp, JoinStringsWithSeparator(NqGlobalVariables)); Append(tmp, ";\n"); Append(tmp, ReadAll(stream)); Append(tmp, "\n"); Append(tmp, "result:=rec();\n"); for var in NqGlobalVariables do var2 := var{[3..Length(var)]}; Append(tmp, Concatenation("if IsBound(", var, ") then\n")); Append(tmp, Concatenation(" result.", var2, " := ", var, ";\n")); Append(tmp, "else\n"); Append(tmp, Concatenation(" result.", var2, " := fail;\n")); Append(tmp, "fi;\n"); od; Append(tmp, "return result;\n"); result := ReadAsFunction( InputTextString( tmp ) ); result := result(); MakeReadWriteGlobal( "NqRuntime" ); NqRuntime := result.Runtime; MakeReadOnlyGlobal( "NqRuntime" ); if result.NrGenerators = fail then Error( "nq program terminated abnormally.\n\n", "To return the abelian invariants of the first ", Length( result.LowerCentralFactors ), " factors of the\n", "lower central series type `return;'", " and `quit;' otherwise.\n\n" ); return List( result.LowerCentralFactors, NqElementaryDivisors ); fi; return result; end ); ############################################################################# ## #F NqStringFpGroup( ) . . . . . . . finitely presented group to string ## InstallGlobalFunction( NqStringFpGroup, function( arg ) local G, idgens, F, fgens, str, newgens, pos, i, r; G := arg[1]; idgens := []; if Length( arg ) = 2 then idgens := arg[2]; fi; F := FreeGroupOfFpGroup( G ); fgens := GeneratorsOfGroup( F ); if not IsSubset( fgens, idgens ) then Error( "identical generators are not a subset of free generators" ); fi; if Length( fgens ) = 0 then # Produce a dummy presentation, since NQ cannot handle presentations # without generators. str := "< x | x >\n"; return str; fi; newgens := GeneratorsOfGroup( FreeGroup( Length( fgens ), "x" ) ); str := ""; Append( str, "< " ); pos := List( idgens, g->Position( fgens, g ) ); for i in Difference( [1..Length(fgens)], pos ) do Append( str, String( newgens[i] ) ); Append( str, ", " ); od; Unbind( str[ Length(str) ] ); Unbind( str[ Length(str) ] ); ## Insert seperator between free and identical generators. Append( str, "; " ); for i in pos do Append( str, String( newgens[i] ) ); Append( str, ", " ); od; Unbind( str[ Length(str) ] ); Unbind( str[ Length(str) ] ); Append( str, " |\n" ); for r in RelatorsOfFpGroup( G ) do if Length( r ) > 0 then Append( str, " " ); Append( str, String( MappedWord( r, fgens, newgens ) ) ); Append( str, ",\n" ); fi; od; if str[ Length(str)-1 ] = ',' then Unbind( str[ Length(str) ] ); Unbind( str[ Length(str) ] ); fi; Append( str, "\n>\n" ); return str; end ); ############################################################################# ## #F NqStringExpTrees( ) . . . . . . . . . . . expression trees to string ## InstallGlobalFunction( NqStringExpTrees, function( arg ) local G, idgens, fgens, str, g, r; G := arg[1]; idgens := []; if Length( arg ) = 2 then idgens := arg[2]; fi; fgens := G.generators; if not IsSubset( fgens, idgens ) then Error( "identical generators are not a subset of free generators" ); fi; fgens := Difference( fgens, idgens ); if Length( fgens ) = 0 then # Produce a dummy presentation, since NQ cannot handle presentations # without generators. str := "< x | x >\n"; return str; fi; # Set flag to signal the print functions (which are called by String) # that we want commutators in square bracket. I don't like that hack. str := ""; Append( str, "< " ); for g in fgens do Append( str, String( g ) ); Append( str, ", " ); od; Unbind( str[ Length(str) ] ); Unbind( str[ Length(str) ] ); Append( str, "; " ); for g in idgens do Append( str, String( g ) ); Append( str, ", " ); od; Unbind( str[ Length(str) ] ); Unbind( str[ Length(str) ] ); Append( str, " |\n" ); for r in G.relations do Append( str, " " ); Append( str, String( r ) ); Append( str, ",\n" ); od; if str[ Length(str)-1 ] = ',' then Unbind( str[ Length(str) ] ); Unbind( str[ Length(str) ] ); fi; Append( str, "\n>\n" ); # reset flag return str; end ); ############################################################################# ## #F NqElementaryDivisors( ) . . . . . . . . . . . . . elementary divisors ## ## The function 'ElementaryDivisorsMat' only returns the non-zero elementary ## divisors of a matrix. Here zeroes are added in order to make it easier to ## recognize the isomorphism type of the abelian group presented by the ## integer matrix. At the same time strip 1's from the list of elementary ## divisors. ## InstallGlobalFunction( NqElementaryDivisors, function( M ) local ed, i; if M <> [ [] ] then ed := ElementaryDivisorsMat( M ); else ed := []; fi; ed := Concatenation( ed, List( [Length(ed)+1..Length(M[1])], x->0 ) ); i := 1; while i <= Length(ed) and ed[i] = 1 do i := i+1; od; ed := ed{[i..Length(ed)]}; return ed; end ); ############################################################################# ## #F NilpotentQuotient( , ) . . . . . . . nilpotent quotient of ## ## The interface to the NQ standalone. ## ## The operation has methods for the following arguments: ## ## fp-group ## outfile fp-group ## fp-group ident-gens ## outfile fp-group ident-gens ## fp-group class ## outfile fp-group class ## fp-group ident-gens class ## outfile fp-group ident-gens class ## infile ## outfile infile ## infile class ## outfile infile class ## ## If this function is called with an fp-group only, we check for options on ## the options stack. The following options are used: ## output_file ## input_string ## nilpotency_class, class ## identical_generators, idgens ## ## This should produce a quotient system and not a pcp group. ## InstallOtherMethod( NilpotentQuotient, "no argument", true, [], 0, function() return NqPcpGroupByNqOutput( NqCallANU_NQ( rec() ) ); end ); InstallOtherMethod( NilpotentQuotient, "of a finitely presented group", true, [ IsFpGroup ], 0, function( G ) return NqPcpGroupByNqOutput( NqCallANU_NQ( rec( group := G ) ) ); end ); InstallOtherMethod( NilpotentQuotient, "of a finitely presented group, keep output file", true, [ IsString, IsFpGroup ], 0, function( outfile, G ) return NqPcpGroupByNqOutput( NqCallANU_NQ( rec( group := G, output_file := outfile ) ) ); end ); InstallOtherMethod( NilpotentQuotient, "of a finitely presented group on file", true, [ IsString ], 0, function( infile ) return NqPcpGroupByNqOutput( NqCallANU_NQ( rec( input_file := infile ) ) ); end ); InstallOtherMethod( NilpotentQuotient, "of a finitely presented group on file, keep output file", true, [ IsString, IsString ], 0, function( outfile, infile ) return NqPcpGroupByNqOutput( NqCallANU_NQ( rec( input_file := infile, output_file := outfile ) ) ); end ); InstallOtherMethod( NilpotentQuotient, "of a finitely presented group", true, [ IsRecord ], 0, function( G ) return NqPcpGroupByNqOutput( NqCallANU_NQ( rec( exptrees := G ) ) ); end ); InstallOtherMethod( NilpotentQuotient, "of a finitely presented group with identical relations", true, [ IsFpGroup, IsList ], 0, function( G, idgens ) return NqPcpGroupByNqOutput( NqCallANU_NQ( rec( group := G, idgens := idgens ) ) ); end ); InstallOtherMethod( NilpotentQuotient, "of a finitely presented group with identical relations", true, [ IsRecord, IsList ], 0, function( G, idgens ) return NqPcpGroupByNqOutput( NqCallANU_NQ( rec( exptrees := G, idgens := idgens ) ) ); end ); InstallMethod( NilpotentQuotient, "of a finitely presented group", true, [ IsFpGroup, IsPosInt ], 0, function( G, cl ) return NqPcpGroupByNqOutput( NqCallANU_NQ( rec( group := G, class := cl ) ) ); end ); InstallOtherMethod( NilpotentQuotient, "of a finitely presented group, keep output file", true, [ IsString, IsFpGroup, IsPosInt ], 0, function( outfile, G, cl ) return NqPcpGroupByNqOutput( NqCallANU_NQ( rec( group := G, class := cl, output_file := outfile ) ) ); end ); InstallMethod( NilpotentQuotient, "of a finitely presented group on file", true, [ IsString, IsPosInt ], 0, function( infile, cl ) return NqPcpGroupByNqOutput( NqCallANU_NQ( rec( input_file := infile, class := cl ) ) ); end ); InstallOtherMethod( NilpotentQuotient, "of a finitely presented group on file, keep output file", true, [ IsString, IsString, IsPosInt ], 0, function( outfile, infile, cl ) return NqPcpGroupByNqOutput( NqCallANU_NQ( rec( input_file := infile, output_file := outfile, class := cl ) ) ); end ); InstallMethod( NilpotentQuotient, "of a finitely presented group", true, [ IsRecord, IsPosInt ], 0, function( G, cl ) return NqPcpGroupByNqOutput( NqCallANU_NQ( rec( exptrees := G, class := cl ) ) ); end ); InstallOtherMethod( NilpotentQuotient, "of a finitely presented group with identical relations", true, [ IsFpGroup, IsList, IsPosInt ], 0, function( G, idgens, cl ) return NqPcpGroupByNqOutput( NqCallANU_NQ( rec( group := G, idgens := idgens, class := cl ) ) ); end ); InstallOtherMethod( NilpotentQuotient, "of a finitely presented group with identical relations", true, [ IsRecord, IsList, IsPosInt ], 0, function( G, idgens, cl ) return NqPcpGroupByNqOutput( NqCallANU_NQ( rec( exptrees := G, idgens := idgens, class := cl ) ) ); end ); ############################################################################# ## #F NqEpimorphismNilpotentQuotient ## ## InstallGlobalFunction( NqEpimorphismByNqOutput, function( G, nqrec ) local coll, A, gens, freegens, images, idgens, U, phi; coll := NqInitFromTheLeftCollector( nqrec ); A := NqPcpGroupByCollector( coll, nqrec ); ## ## Now we set up the epimorphism. ## We need to be careful about identical generators. ## gens := GeneratorsOfGroup( G ); idgens := ValueOption( "idgens" ); images := List( nqrec.Images, w->NqPcpElementByWord( coll, w ) ); if idgens <> fail then freegens := List( gens, UnderlyingElement ); gens := gens{Difference( [1..Length(gens)], List( idgens, g->Position( freegens, g ) ) )}; U := Subgroup( G, gens ); phi := GroupHomomorphismByImagesNC( U, A, gens, images ); else phi := GroupHomomorphismByImagesNC( G, A, gens, images ); fi; SetFilterObj( phi, IsFromFpGroupStdGensGeneralMappingByImages ); SetIsSurjective( phi, true ); return phi; end ); InstallOtherMethod( NqEpimorphismNilpotentQuotient, "no argument", true, [ ], 0, function( ) local input_rec, nqrec, G; input_rec := rec(); nqrec := NqCallANU_NQ( input_rec ); G := input_rec.group; return NqEpimorphismByNqOutput( G, nqrec ); end ); InstallOtherMethod( NqEpimorphismNilpotentQuotient, "fp-group", true, [ IsFpGroup ], 0, function( G ) local nqrec; nqrec := NqCallANU_NQ( rec( group := G ) ); return NqEpimorphismByNqOutput( G, nqrec ); end ); InstallOtherMethod( NqEpimorphismNilpotentQuotient, "output-file, fp-group", true, [ IsString, IsFpGroup ], 0, function( outfile, G ) local nqrec; nqrec := NqCallANU_NQ( rec( group := G, output_file := outfile ) ); return NqEpimorphismByNqOutput( G, nqrec ); end ); InstallOtherMethod( NqEpimorphismNilpotentQuotient, "fp-group, class", true, [ IsFpGroup, IsPosInt ], 0, function( G, cl ) local nqrec; nqrec := NqCallANU_NQ( rec( group := G, class := cl ) ); return NqEpimorphismByNqOutput( G, nqrec ); end ); InstallOtherMethod( NqEpimorphismNilpotentQuotient, "output-file, fp group, class", true, [ IsString, IsFpGroup, IsPosInt ], 0, function( outfile, G, cl ) local nqrec; nqrec := NqCallANU_NQ( rec( group := G, class := cl, output_file := outfile ) ); return NqEpimorphismByNqOutput( G, nqrec ); end ); InstallOtherMethod( NqEpimorphismNilpotentQuotient, "fp-group, id-gens", true, [ IsFpGroup, IsList ], 0, function( G, idgens ) local nqrec; nqrec := NqCallANU_NQ( rec( group := G, idgens := idgens ) ); return NqEpimorphismByNqOutput( G, nqrec : idgens := idgens ); end ); InstallOtherMethod( NqEpimorphismNilpotentQuotient, "output-file, fp-group, idgens", true, [ IsString, IsFpGroup, IsList ], 0, function( outfile, G, idgens ) local nqrec; nqrec := NqCallANU_NQ( rec( group := G, output_file := outfile, idgens := idgens ) ); return NqEpimorphismByNqOutput( G, nqrec : idgens := idgens ); end ); InstallOtherMethod( NqEpimorphismNilpotentQuotient, "fp-group, idgens, class", true, [ IsFpGroup, IsList, IsPosInt ], 0, function( G, idgens, cl ) local nqrec; nqrec := NqCallANU_NQ( rec( group := G, class := cl, idgens := idgens ) ); return NqEpimorphismByNqOutput( G, nqrec : idgens := idgens ); end ); InstallOtherMethod( NqEpimorphismNilpotentQuotient, "output-file, fp group, idgens, class", true, [ IsString, IsFpGroup, IsList, IsPosInt ], 0, function( outfile, G, idgens, cl ) local nqrec; nqrec := NqCallANU_NQ( rec( group := G, class := cl, output_file := outfile, idgens := idgens ) ); return NqEpimorphismByNqOutput( G, nqrec : idgens := idgens ); end ); ############################################################################# ## #F LowerCentralFactors ## ## InstallGlobalFunction( LowerCentralFactors, function( arg ) local A; A := CallFuncList( NilpotentQuotient, arg ); return A!.LowerCentralFactors; end ); ############################################################################# ## #F NilpotentEngelQuotient( , , ) . . . . . Engel nq of ## InstallGlobalFunction( NilpotentEngelQuotient, function( arg ) local n, i; ## The first integer is the Engel parameter. n := First( arg, IsInt ); i := Position( arg, n ); arg := Concatenation( arg{[1..i-1]}, arg{[i+1..Length(arg)]} ); NqOneTimeOptions := [ "-e", String(n) ]; return CallFuncList( NilpotentQuotient, arg ); end ); nq-2.5.4/gap/exptree.gd0000664000371700037170000000037113441553627016124 0ustar gap-jenkinsgap-jenkins DeclareCategory( "IsExprTree", IsMultiplicativeElementWithInverse and IsComponentObjectRep ); BindGlobal("ExpTreeFamily", NewFamily( "ExprTreeFamily" )); BindGlobal("TYPE_EXPR_TREE", NewType( ExpTreeFamily, IsExprTree and IsMutable )); nq-2.5.4/doc/functions.xml0000664000371700037170000005165413441553627016676 0ustar gap-jenkinsgap-jenkins The Functions of the Package Nilpotent Quotient Package

Nilpotent Quotients of Finitely Presented Groups The parameter fp-group is either a finitely presented group or a record specifying a presentation by expression trees (see section ). The parameter input-file is a string specifying the name of a file containing a finite presentation in the input format (cf. section ) of the ANU NQ. Such a file can be prepared by a text editor or with the help of the function .

Let G be the group defined by fp-group or the group defined in input-file. The function computes a nilpotent presentation for G/\gamma_{c+1}(G) if the optional parameter c is specified. If c is not given, then the function attempts to compute the largest nilpotent quotient of G and it will terminate only if G has a largest nilpotent quotient. See section for a possibility to follow the progress of the computation.

The optional argument id-gens is a list of generators of the free group underlying the finitely presented group fp-group. The generators in this list are treated as identical generators. Consequently, all relations of the fp-group involving these generators are treated as identical relations for these generators.

In addition to the arguments explained above, the function accepts the following options as shown in the first example below: options group options This option can be used instead of the parameter fp-group. input\_string options This option can be used to specify a finitely presented group by a string in the input format of the standalone program. input\_file options This option specifies a file with input for the standalone program. output\_file options This option specifies a file for the output of the standalone. idgens options This options specifies a list of identical generators. class options This option specifies the nilpotency class up to which the nilpotent quotient will be computed.

The following example computes the class-5 quotient of the free group on two generators. F := FreeGroup( 2 ); gap> ## Equivalent to: NilpotentQuotient( : group := F, class := 5 ); gap> ## NilpotentQuotient( F : class := 5 ); gap> H := NilpotentQuotient( F, 5 ); Pcp-group with orders [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] gap> lcs := LowerCentralSeries( H );; gap> for i in [1..5] do Print( lcs[i] / lcs[i+1], "\n" ); od; Pcp-group with orders [ 0, 0 ] Pcp-group with orders [ 0 ] Pcp-group with orders [ 0, 0 ] Pcp-group with orders [ 0, 0, 0 ] Pcp-group with orders [ 0, 0, 0, 0, 0, 0 ] ]]> Note that the lower central series in the example is part of the data returned by the standalone program. Therefore, the execution of the function LowerCentralSeries takes no time.

The next example computes the class-4 quotient of the infinite dihedral group. The group is soluble but not nilpotent. The first factor of its lower central series is a Klein four group and all the other factors are cyclic or order 2. F := FreeGroup( 2 ); gap> G := F / [F.1^2, F.2^2]; gap> H := NilpotentQuotient( G, 4 ); Pcp-group with orders [ 2, 2, 2, 2, 2 ] gap> lcs := LowerCentralSeries( H );; gap> for i in [1..Length(lcs)-1] do > Print( AbelianInvariants(lcs[i] / lcs[i+1]), "\n" ); > od; [ 2, 2 ] [ 2 ] [ 2 ] [ 2 ] gap> ]]> In the following example identical generators are used in order to express the fact that the group is nilpotent of class 3. A group is nilpotent of class 3 if it satisfies the identical relation [x_1,x_2,x_3,x_4]=1 (cf. Section ). The result is the free nilpotent group of class 3 on two generators. F := FreeGroup( "a", "b", "w", "x", "y", "z" ); gap> G := F / [ LeftNormedComm( [F.3,F.4,F.5,F.6] ) ]; gap> ## The following is equivalent to: gap> ## NilpotentQuotient( G : idgens := [F.3,F.4,F.5,F.6] ); gap> H := NilpotentQuotient( G, [F.3,F.4,F.5,F.6] ); Pcp-group with orders [ 0, 0, 0, 0, 0 ] gap> NilpotencyClassOfGroup(H); 3 gap> LowerCentralSeries(H); [ Pcp-group with orders [ 0, 0, 0, 0, 0 ], Pcp-group with orders [ 0, 0, 0 ], Pcp-group with orders [ 0, 0 ], Pcp-group with orders [ ] ] ]]> The following example uses expression trees in order to specify the third Engel law for the free group on 3 generators. et := ExpressionTrees( 5 ); [ x1, x2, x3, x4, x5 ] gap> comm := LeftNormedComm( [et[1], et[2], et[2], et[2]] ); Comm( x1, x2, x2, x2 ) gap> G := rec( generators := et, relations := [comm] ); rec( generators := [ x1, x2, x3, x4, x5 ], relations := [ Comm( x1, x2, x2, x2 ) ] ) gap> H := NilpotentQuotient( G : idgens := [et[1],et[2]] ); Pcp-group with orders [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 4, 2, 2, 0, 6, 6, 0, 0, 2, 10, 10, 10 ] gap> TorsionSubgroup( H ); Pcp-group with orders [ 2, 2, 2, 2, 2, 2, 2, 10, 10, 10 ] gap> lcs := LowerCentralSeries( H );; gap> NilpotencyClassOfGroup( H ); 5 gap> for i in [1..5] do Print( lcs[i] / lcs[i+1], "\n" ); od; Pcp-group with orders [ 0, 0, 0 ] Pcp-group with orders [ 0, 0, 0 ] Pcp-group with orders [ 0, 0, 0, 0, 0, 0, 0, 0 ] Pcp-group with orders [ 2, 4, 2, 2, 0, 6, 6, 0, 0, 2 ] Pcp-group with orders [ 10, 10, 10 ] gap> for i in [1..5] do Print( AbelianInvariants(lcs[i]/lcs[i+1]), "\n" ); od; [ 0, 0, 0 ] [ 0, 0, 0 ] [ 0, 0, 0, 0, 0, 0, 0, 0 ] [ 2, 2, 2, 2, 2, 2, 2, 0, 0, 0 ] [ 10, 10, 10 ] ]]> The example above also shows that the relative orders of an abelian polycyclic group need not be the abelian invariants (elementary divisors) of the group. Each zero corresponds to a generator of infinite order. The number of zeroes is always correct. This function is a special version of which enforces the n-th Engel identity on the nilpotent quotients of the group specified by fp-group or by input-file. It accepts the same options as NilpotentQuotient.

The Engel condition can also be enforced by using identical generators and the Engel law and . See the examples there.

The following example computes the relatively free fifth Engel group on two generators, determines its (normal) torsion subgroup and computes the corresponding quotient group. The quotient modulo the torsion subgroup is torsion-free. Therefore, there is a nilpotent presentation without power relations. The example computes a nilpotent presentation for the torsion free factor group through the upper central series. The factors of the upper central series in a torsion free group are torsion free. In this way one obtains a set of generators of infinite order and the resulting nilpotent presentation has no power relations. gap> G := NilpotentEngelQuotient( FreeGroup(2), 5 ); Pcp-group with orders [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 10, 0, 0, 30, 0, 3, 3, 10, 2, 0, 6, 0, 0, 30, 2, 0, 9, 3, 5, 2, 6, 2, 10, 5, 5, 2, 0, 3, 3, 3, 3, 3, 5, 5, 3, 3 ] gap> NilpotencyClassOfGroup(G); 9 gap> T := TorsionSubgroup( G ); Pcp-group with orders [ 3, 3, 2, 2, 3, 3, 2, 9, 3, 5, 2, 3, 2, 10, 5, 2, 3, 3, 3, 3, 3, 5, 5, 3, 3 ] gap> IsAbelian( T ); true gap> AbelianInvariants( T ); [ 3, 3, 3, 3, 3, 3, 3, 3, 30, 30, 30, 180, 180 ] gap> H := G / T; Pcp-group with orders [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 10, 0, 0, 30, 0, 5, 0, 2, 0, 0, 10, 0, 2, 5, 0 ] gap> H := PcpGroupBySeries( UpperCentralSeries(H), "snf" ); Pcp-group with orders [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] gap> ucs := UpperCentralSeries( H );; gap> for i in [1..NilpotencyClassOfGroup(H)] do > Print( ucs[i]/ucs[i+1], "\n" ); > od; Pcp-group with orders [ 0, 0 ] Pcp-group with orders [ 0 ] Pcp-group with orders [ 0, 0 ] Pcp-group with orders [ 0, 0, 0 ] Pcp-group with orders [ 0, 0, 0, 0, 0, 0 ] Pcp-group with orders [ 0, 0, 0, 0 ] Pcp-group with orders [ 0, 0 ] Pcp-group with orders [ 0, 0, 0 ] This function computes an epimorphism from the group G given by the finite presentation fp-group onto G/\gamma_{c+1}(G). If c is not given, then the largest nilpotent quotient of G is computed and an epimorphism from G onto the largest nilpotent quotient of G. If G does not have a largest nilpotent quotient, the function will not terminate if c is not given.

The optional argument id-gens is a list of generators of the free group underlying the finitely presented group fp-group. The generators in this list are treated as identical generators. Consequently, all relations of the fp-group involving these generators are treated as identical relations for these generators.

If identical generators are specified, then the epimorphism returned maps the group generated by the `non-identical' generators onto the nilpotent factor group. See the last example below.

The function understands the same options as the function . F := FreeGroup(3); gap> phi := NqEpimorphismNilpotentQuotient( F, 5 ); [ f1, f2, f3 ] -> [ g1, g2, g3 ] gap> Image( phi, LeftNormedComm( [F.3, F.2, F.1] ) ); g12 gap> F := FreeGroup( "a", "b" ); gap> G := F / [ F.1^2, F.2^2 ]; gap> phi := NqEpimorphismNilpotentQuotient( G, 4 ); [ a, b ] -> [ g1, g2 ] gap> Image( phi, Comm(G.1,G.2) ); g3*g4 gap> F := FreeGroup( "a", "b", "u", "v", "x" ); gap> a := F.1;; b := F.2;; u := F.3;; v := F.4;; x := F.5;; gap> G := F / [ x^5, LeftNormedComm( [u,v,v,v] ) ]; gap> phi := NqEpimorphismNilpotentQuotient( G : idgens:=[u,v,x], class:=5 ); [ a, b ] -> [ g1, g2 ] gap> U := Source(phi); Group([ a, b ]) gap> ImageElm( phi, LeftNormedComm( [U.1*U.2, U.2^-1,U.2^-1,U.2^-1,] ) ); id ]]> Note that the last epimorphism is a map from the group generated by a and b onto the nilpotent quotient. The identical generators are used only to formulate the identical relator. They are not generators of the group G. Also note that the left-normed commutator above is mapped to the identity as G satisfies the specified identical law. This function accepts the same arguments and options as and returns a list containing the abelian invariants of the central factors in the lower central series of the specified group. gap> LowerCentralFactors( FreeGroup(2), 6 ); [ [ 0, 0 ], [ 0 ], [ 0, 0 ], [ 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

Expression Trees The argument m must be a positive integer. The function returns a list with m expression tree symbols named x1, x2,... The optional parameter prefix must be a string and is used instead of x if present.

Alternatively, the function can be executed with a list of strings str1, str2, .... It returns a list of symbols with these strings as names.

The following operations are defined for expression trees: multiplication, inversion, exponentiation, forming commutators, forming conjugates. gap> t := ExpressionTrees( 3 ); [ x1, x2, x3 ] gap> tree := Comm( t[1], t[2] )^3/LeftNormedComm( [t[1],t[2],t[3],t[1]] ); Comm( x1, x2 )^3/Comm( x1, x2, x3, x1 ) gap> t := ExpressionTrees( "a", "b", "x" ); [ a, b, x ] gap> tree := Comm( t[1], t[2] )^3/LeftNormedComm( [t[1],t[2],t[3],t[1]] ); Comm( a, b )^3/Comm( a, b, x, a ) The argument tree is an expression tree followed by the list of those symbols symbols from which the expression tree is built up. The argument values is a list containing a constant for each symbol. The function substitutes each value for the corresponding symbol and computes the resulting value for tree. F := FreeGroup( 3 ); gap> t := ExpressionTrees( "a", "b", "x" ); [ a, b, x ] gap> tree := Comm( t[1], t[2] )^3/LeftNormedComm( [t[1],t[2],t[3],t[1]] ); Comm( a, b )^3/Comm( a, b, x, a ) gap> EvaluateExpTree( tree, t, GeneratorsOfGroup(F) ); f1^-1*f2^-1*f1*f2*f1^-1*f2^-1*f1*f2*f1^-1*f2^-1*f1*f2*f1^-1*f3^-1*f2^-1*f1^ -1*f2*f1*f3*f1^-1*f2^-1*f1*f2*f1*f2^-1*f1^-1*f2*f1*f3^-1*f1^-1*f2^-1*f1*f2*f3 ]]>

Auxiliary Functions The only argument stream is an output stream of the ANU NQ. The function reads the stream and returns a record that has a component for each global variable used in the output of the ANU NQ, see . The function takes a finitely presented group fp-group and returns a string in the input format of the ANU NQ. If the list idgens is present, then it must contain generators of the free group underlying the finitely presented group . The generators in idgens are treated as identical generators. F := FreeGroup(2); gap> G := F / [F.1^2, F.2^2, (F.1*F.2)^4]; gap> NqStringFpGroup( G ); "< x1, x2 |\n x1^2,\n x2^2,\n x1*x2*x1*x2*x1*x2*x1*x2\n>\n" gap> Print( last ); < x1, x2 | x1^2, x2^2, x1*x2*x1*x2*x1*x2*x1*x2 > gap> PrintTo( "dihedral", last ); gap> ## The following is equivalent to: gap> ## NilpotentQuotient( : input_file := "dihedral" ); gap> NilpotentQuotient( "dihedral" ); Pcp-group with orders [ 2, 2, 2 ] gap> Exec( "rm dihedral" ); gap> F := FreeGroup(3); gap> H := F / [ LeftNormedComm( [F.2,F.1,F.1] ), > LeftNormedComm( [F.2,F.1,F.2] ), F.3^7 ]; gap> str := NqStringFpGroup( H, [F.3] ); "< x1, x2; x3 |\n x1^-1*x2^-1*x1*x2*x1^-1*x2^-1*x1^-1*x2*x1^2,\n x1^-1*x\ 2^-1*x1*x2^-1*x1^-1*x2*x1*x2,\n x3^7\n>\n" gap> NilpotentQuotient( : input_string := str ); Pcp-group with orders [ 7, 7, 7 ] ]]> The function takes a finitely presented group fp-group given in terms of expression trees and returns a string in the input format of the ANU NQ. If the list idgens is present, then it must contain a sublist of the generators of the presentation. The generators in idgens are treated as identical generators. x := ExpressionTrees( 2 ); [ x1, x2 ] gap> rels := [x[1]^2, x[2]^2, (x[1]*x[2])^5]; [ x1^2, x2^2, (x1*x2)^5 ] gap> NqStringExpTrees( rec( generators := x, relations := rels ) ); "< x1, x2 |\n x1^2,\n x2^2,\n (x1*x2)^5\n>\n" gap> Print( last ); < x1, x2 | x1^2, x2^2, (x1*x2)^5 > gap> x := ExpressionTrees( 3 ); [ x1, x2, x3 ] gap> rels := [LeftNormedComm( [x[2],x[1],x[1]] ), > LeftNormedComm( [x[2],x[1],x[2]] ), x[3]^7 ]; [ Comm( x2, x1, x1 ), Comm( x2, x1, x2 ), x3^7 ] gap> NqStringExpTrees( rec( generators := x, relations := rels ) ); "< x1, x2, x3 |\n [ x2, x1, x1 ],\n [ x2, x1, x2 ],\n x3^7\n>\n" gap> Print( last ); < x1, x2, x3 | [ x2, x1, x1 ], [ x2, x1, x2 ], x3^7 > ]]> The function only returns the non-zero elementary divisors of an integer matrix. This function computes the elementary divisors of int-mat and adds the appropriate number of zeroes in order to make it easier to recognize the isomorphism type of the abelian group presented by the integer matrix. At the same time ones are stripped from the list of elementary divisors.
Global Variables This variable contains the number of milliseconds of runtime of the last call of ANU NQ. gap> NilpotentEngelQuotient( FreeGroup(2), 5 ); Pcp-group with orders [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 10, 0, 0, 30, 0, 3, 3, 10, 2, 0, 6, 0, 0, 30, 2, 0, 9, 3, 5, 2, 6, 2, 10, 5, 5, 2, 0, 3, 3, 3, 3, 3, 5, 5, 3, 3 ] gap> NqRuntime; 18200 This variable contains a list of strings which are the standard command line options passed to the ANU NQ in each call. Modifying this variable can be used to pass additional options to the ANU NQ. gap> NqDefaultOptions; [ "-g", "-p", "-C", "-s" ] The option -g causes the ANU NQ to produce output in &GAP;-format. The option -p prevents the ANU NQ from listing the pc-presentation of the nilpotent quotient at the end of the calculation. The option -C invokes the combinatorial collector. The option -s is effective only in conjunction with options for computing with Engel identities and instructs the ANU NQ to use only semigroup words in the generators as instances of an Engel law. This variable contains a list of strings with the names of the global variables that are used in the output stream of the ANU NQ. While the output stream is read, these global variables are assigned new values. To avoid overwriting these variables in case they contain values, their contents is saved before reading the output stream and restored afterwards.
Diagnostic Output While the standalone program is running it can be asked to display progress information. This is done by setting the info class InfoNQ to 1 via the function . gap> NilpotentQuotient(FreeGroup(2),5); Pcp-group with orders [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] gap> SetInfoLevel( InfoNQ, 1 ); gap> NilpotentQuotient(FreeGroup(2),5); #I Class 1: 2 generators with relative orders 0 0 #I Class 2: 1 generators with relative orders: 0 #I Class 3: 2 generators with relative orders: 0 0 #I Class 4: 3 generators with relative orders: 0 0 0 #I Class 5: 6 generators with relative orders: 0 0 0 0 0 0 Pcp-group with orders [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] gap> SetInfoLevel( InfoNQ, 0 );
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References

[EN02] Eick, B. and Nickel, W., Polycyclic, Algorithms for working with polycyclic groups (2002)
(GAP package), http://www.icm.tu-bs.de/ag_algebra/software/polycyclic/.

[GMP] GNU MP, http://gmplib.org/.

[Hig59] Higman, G., Some remarks on varieties of groups, Quart. J. Math. Oxford, 2 (10) (1959), 165–178.

[LGS90] Leedham-Green, C. R. and Soicher, L. H., Collection from the left and other strategies, J. Symbolic Comput., 9 (5–6) (1990), 665–675.

[Nic96] Nickel, W., Computing Nilpotent Quotients of Finitely Presented Groups, in Geometric and Computational Perspectives on Infinite Groups, Dimacs Series in Discrete Mathematics and Theoretical Computer Science, 25 (1996), 175–191.

[NN94] Newman, M. F. and Nickel, W., Engel elements in groups, J. Pure Appl. Algebra, 96 (1994), 39–45.

[Sim94] Sims, C. C., Computation with Finitely Presented Groups, Cambridge University Press (1994).

[VL90] Vaughan-Lee, M. R., Collection from the Left, J. Symbolic Comput., Academic Press, 9 (1990), 725–733.

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nq

A GAP 4 Package
computing nilpotent factor groups of finitely presented groups

Based on the ANU Nilpotent Quotient Program

2.5.4

15 February 2019

Max Horn
Email: max.horn@math.uni-giessen.de
Homepage: https://www.quendi.de/math
Address:
AG Algebra
Mathematisches Institut
Justus-Liebig-Universität Gießen
Arndtstraße 2
35392 Gießen
Germany

Werner Nickel
Homepage: http://www.mathematik.tu-darmstadt.de/~nickel/

Copyright

© 1992-2007 Werner Nickel

The nq package is free software; you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation; either version 2 of the License, or (at your option) any later version.

Acknowledgements

The author of ANU NQ is Werner Nickel.

The development of this program was started while the author was supported by an Australian National University PhD scholarship and an Overseas Postgraduate Research Scholarship.

Further development of this program was done with support from the DFG-Schwerpunkt-Projekt "`Algorithmische Zahlentheorie und Algebra"'.

Since then, maintenance of ANU NQ has been taken over by Max Horn. All credit for creating ANU NQ still goes to Werner Nickel as sole author. However, bug reports and other inquiries should be sent to Max Horn.

The following are the original acknowledgements by Werner Nickel.

Over the years a number of people have made useful suggestions that found their way into the code: Mike Newman, Michael Vaughan-Lee, Joachim Neubüser, Charles Sims.

Thanks to Volkmar Felsch and Joachim Neubüser for their careful examination of the package prior to its release for GAP 4.

This documentation was prepared with the GAPDoc package by Frank Lübeck and Max Neunhöffer.

Contents

1 Introduction
2 General remarks
3 The Functions of the Package
4 Examples
5 Installation of the Package
A The nq command line interface
References
Index

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2 General remarks
 2.1 Commutators and the Lower Central Series
 2.2 Nilpotent groups
 2.3 Nilpotent presentations
 2.4 A sketch of the algorithm
 2.5 Identical Relations
 2.6 Expression Trees
 2.7 A word about the implementation
 2.8 The input format of the standalone

2 General remarks

In this chapter we define notation used throughout this manual and recollect basic facts about nilpotent groups. We also provide some background information about the functionality implemented in this package.

2.1 Commutators and the Lower Central Series

The commutator of two elements h_1 and h_2 of a group G is the element h_1^-1h_2^-1h_1h_2 and is denoted by [h_1,h_2]. It satisfies the equation h_1h_2 = h_2h_1[h_1,h_2] and can be interpreted as the correction term that has to be introduced into a word if two elements of a group are interchanged. Iterated commutators are written in left-normed fashion: [h_1,h_2,...,h_n-1,h_n]=[[h_1,h_2,...,h_n-1],h_n].

The lower central series of G is defined inductively as γ_1(G) = G, γ_i(G) = [γ_i-1(G),G] for i ge 2. Each term in the lower central series is a normal (even fully invariant) subgroup of G. The factors of the lower central series are abelian groups. On each factor the induced action of G via conjugation is the trivial action.

The factor γ_k(G)/γ_k+1(G) is generated by the elements [g,h]γ_k+1(G), where g runs through a set of (representatives of) generators for G/γ_2(G) and h runs through a set of (representatives of) generators for γ_k-1(G)/γ_k(G). Therefore, each factor of the lower central series is finitely generated if G is finitely generated.

If one factor of the lower central series is finite, then all subsequent factors are finite. Then the exponent of the k+1-th factor is a divisor of the exponent of the k-th factor of the lower central series. In particular, the exponents of all factors of the lower central series are bounded by the exponent of the first finite factor of the lower central series.

2.2 Nilpotent groups

A group G is called nilpotent if there is a positive integer c such that all (c+1)-fold commutators are trivial in G. The smallest integer with this property is called the nilpotency class of G. In terms of the lower central series a group G not= 1 has nilpotency class c if and only if γ_c(G) not= 1 and γ_c+1(G) = 1.

Examples of nilpotent groups are finite p-groups, the group of unitriangular matrices over a ring with one and the factor groups of a free group modulo the terms of its lower central series.

Finiteness of a nilpotent group can be decided by the group's commutator factor group. A nilpotent group is finite if and only if its commutator factor group is finite. A group whose commutator factor group is finite can only have finite nilpotent quotient groups.

By refining the lower central series of a finitely generated nilpotent group one can obtain a (sub)normal series G_1>G_2>...>G_k+1=1 with cyclic (central) factors. Therefore, every finitely generated nilpotent group is polycyclic. Such a polycyclic series gives rise to a polycyclic generating sequence by choosing a generator a_i for each cyclic factor G_i/G_i+1. Let I be the set of indices such that G_i/G_i+1 is finite. A simple induction argument shows that every element of the group can be written uniquely as a normal word a_1^e_1... a_n^e_n with integers e_i and 0≤ e_i<m_i for i∈ I.

2.3 Nilpotent presentations

From a polycyclic generating sequence one can obtain a polycyclic presentation for the group. The following set of power and commutator relations is a defining set of relations. The power relations express a_i^m_i in terms of the generators a_i+1,...,a_n whenever G_i/G_i+1 is finite with order m_i. The commutator relations are obtained by expressing [a_j,a_i] for j>i as a word in the generators a_i+1,...,a_n. If the polycyclic series is obtained from refining the lower central series, then [a_j,a_i] is even a word in a_j+1,...,a_n. In this case we obtain a nilpotent presentation.

To be more precise, a nilpotent presentation is given on a finite number of generators a_1,...,a_n. Let I be the set of indices such that G_i/G_i+1 is finite. Let m_i be the order of G_i/G_i+1 for i∈ I. Then a nilpotent presentation has the form

\langle a,\ldots,a_n | a_i^{m_i} = w_{ii}(a_{i+1},\ldots,a_n) \mbox{ for } i\in I;\; [a_j,a_i] = w_{ij}(a_{j+1},\ldots,a_n) \mbox{ for } 1\leq i < j\leq n\rangle

Here, w_ij(a_k,...,a_n) denotes a group word in the generators a_k,...,a_n.

In a group given by a polycyclic presentation each element in the group can be written as a normal word a_1^e_1... a_n^e_n with e_i ∈ Z and 0 ≤ e_i < m_i for i ∈ I. A procedure called collection can be used to convert an arbitrary word in the generators into an equivalent normal word. In general, the resulting normal word need not be unique. The result of collecting a word may depend on the steps chosen during the collection procedure. A polycyclic presentation with the property that two different normal words are never equivalent is called consistent. A polycyclic presentation derived from a polycyclic series as above is consistent. The following example shows an inconsistent polycyclic presentation

\langle a,b\mid a^2, b^a = b^2 \rangle

as b = baa = ab^2a = a^2b^4 = b^4 which implies b^3=1. Here we have the equivalent normal words b^3 and the empty word. It can be proved that consistency can be checked by collecting a finite number of words in the given generating set in two essentially different ways and checking if the resulting normal forms are the same in both cases. See Chapter 9 of the book [Sim94] for an introduction to polycyclic groups and polycyclic presentations.

For computations in a polycyclic group one chooses a consistent polycyclic presentation as it offers a simple solution to the word problem: Equality between two words is decided by collecting both words to their respective normal forms and comparing the normal forms. Nilpotent groups and nilpotent presentations are special cases of polycyclic groups and polycyclic presentations. Nilpotent presentations allow specially efficient collection methods. The package Polycyclic provides algorithms to compute with polycyclic groups given by a polycyclic presentation.

However, inconsistent nilpotent presentations arise naturally in the nilpotent quotient algorithm. There is an algorithm based on the test words for consistency mentioned above to modify the arising inconsistent presentations suitably to obtain a consistent one for the same group.

2.4 A sketch of the algorithm

The input for the ANU NQ in its simplest form is a finite presentation ⟨ X|R⟩ for a group G. The first step of the algorithm determines a nilpotent presentation for the commutator quotient of G. This is a presentation of the class-1 quotient of G. Call its generators a_1,...,a_d. It also determines a homomorphism of G onto the commutator quotient and describes it by specifying the image of each generator in X as a word in the a_i.

For the general step assume that the algorithm has computed a nilpotent presentation for the class-c quotient of G and that a_1,...,a_d are the generators introduced in the first step of the algorithm. Furthermore, there is a map from X into the class-c quotient describing the epimorphism from G onto G/γ_c+1(G).

Let b_1,...b_k be the generators from the last step of the algorithm, the computation of γ_c(G)/γ_c+1(G). This means that b_1,...b_k generate γ_c(G)/γ_c+1(G). Then the commutators [b_j,a_i] generate γ_c+1(G)/γ_c+2(G). The algorithm introduces new, central generators c_ij into the presentation, adds the relations [b_j,a_i] = c_ij and modifies the existing relations by appending suitable words in the c_ij, called tails, to the right hand sides of the power and commutator relations. The resulting presentation is a nilpotent presentation for the nilpotent cover of G/γ_c+1(G). The nilpotent cover is the largest central extension of G/γ_c+1(G) generated by d elements. It is is uniquely determined up to isomorphism.

The resulting presentation of the nilpotent cover is in general inconsistent. Consistency is achieved by running the consistency test. This results in relations among the generators c_ij which can be used to eliminate some of those generators or introduce power relations. After this has been done we have a consistent nilpotent presentation for the nilpotent cover of G/γ_c+1(G).

Furthermore, the nilpotent cover need not satisfy the relations of G. In other words, the epimorphism from G onto G/γ_c+1(G) cannot be lifted to an epimorphism onto the nilpotent cover. Applying the epimorphism to each relator of G and collecting the resulting words of the nilpotent cover yields a set of words in the c_ij. This gives further relations between the c_ij which leads to further eliminations or modifications of the power relations for the c_ij.

After this, the inductive step of the ANU NQ is complete and a consistent nilpotent presentation for G/γ_c+2(G) is obtained together with an epimorphism from G onto the class-(c+1) quotient.

Chapter 11 of the book [Sim94] discusses a nilpotent quotient algorithm. A description of the implementation in the ANU NQ is contained in [Nic96]

2.5 Identical Relations

Let w be a word in free generators x_1,...,x_n. A group G satisfies the relation w=1 identically if each map from x_1,...,x_n into G maps w to the identity element of G. We also say that G satisfies the identical relation w=1 or satisfies the law w=1. In slight abuse of notation, we call the elements x_1,...,x_n identical generators.

Common examples of identical relations are: A group of nilpotency class at most c satisfies the law [x_1,...,x_c+1]=1. A group that satisfies the law [x,y,...,y]=1 where y occurs n-times, is called an n-Engel group. A group that satisfies the law x^d=1 is a group of exponent d.

To describe finitely presented groups that satisfy one or more laws, we extend a common notation for finitely presented groups by specifying the identical generators as part of the generator list, separated from the group generators by a semicolon: For example

\langle a,b,c; x,y | x^5, [x,y,y,y]\rangle

is a group on 3 generators a,b,c of exponent 5 satisfying the 3rd Engel law. The presentation above is equivalent to a presentation on 3 generators with an infinite set of relators, where the set of relators consists of all fifth powers of words in the generators and all commutators [x,y,y,y] where x and y run through all words in the generators a,b,c. The standalone programme accepts the notation introduced above as a description of its input. In GAP 4 finitely presented groups are specified in a different way, see NilpotentQuotient (3.1-1) for a description.

This notation can also be used in words that mix group and identical generators as in the following example:

\langle a,b,c; x | [x,c], [a,x,x,x] \rangle

The first relator specifies a law which says that c commutes with all elements of the group. The second turns a into a third right Engel element.

An element a is called a right n-th Engel element or a right n-Engel element if it satisfies the commutator law [a,x,...,x]=1 where the identical generator x occurs n-times. Likewise, an element b is called an left n-th Engel element or left n-Engel element if it satisfies the commutator law [x,b,b,...b]=1.

Let G be a nilpotent group. Then G satisfies a given law if the law is satisfied by a certain finite set of instances given by Higman's Lemma, see [Hig59]. The ANU NQ uses Higman's Lemma to obtain a finite presentation for groups that satisfy one or several identical relations.

2.6 Expression Trees

Expressions involving commutators play an important role in the context of nilpotent groups. Expanding an iterated commutator produces a complicated and long expression. For example,

[x,y,z] = y^{-1}x^{-1}yxz^{-1}x^{-1}y^{-1}xyz.

Evaluating a commutator [a,b] is done efficiently by computing the equation (ba)^-1ab. Therefore, for each commutator we need to perform two multiplications and one inversion. Evaluating [x,y,z] needs four multiplications and two inversions. Evaluation of an iterated commutator with n components takes 2n-1 multiplications and n-1 inversions. The expression on the right hand side above needs 9 multiplications and 5 inversions which is clearly much more expensive than evaluating the commutator directly.

Assuming that no cancellations occur, expanding an iterated commutator with n components produces a word with 2^n+1-2^n-1-2 factors half of which are inverses. A similar effect occurs whenever a compact expression is expanded into a word in generators and inverses, for example (ab)^49.

Therefore, it is important not to expand expressions into a word in generators and inverses. For this purpose we provide a mechanism which we call here expression trees. An expression tree preserves the structure of a given expression. It is a (binary) tree in which each node is assigned an operation and whose leaves are generators of a free group or integers. For example, the expression [(xy)^2, z] is stored as a tree whose top node is a commutator node. The right subtree is just a generator node (corresponding to z). The left subtree is a power node whose subtrees are a product node on the left and an integer node on the right. An expression tree can involve products, powers, conjugates and commutators. However, the list of available operations can be extended.

Evaluation of an expression tree is done recursively and requires as many operations as there are nodes in the tree. An expression tree can be evaluated in a specific group by the function EvaluateExpTree (3.2-2).

A presentation specified by expression trees is a record with the components .generators and .relations. See section 3.2 for a description of the functions that produce and manipulate expression trees.

gap> LoadPackage( "nq" );
true
gap> gens := ExpressionTrees( 2 );
[ x1, x2 ]
gap> r1 := LeftNormedComm( [gens[1],gens[2],gens[2]] );
Comm( x1, x2, x2 )
gap> r2 := LeftNormedComm( [gens[1],gens[2],gens[2],gens[1]] );
Comm( x1, x2, x2, x1 )
gap> pres := rec( generators := gens, relations := [r1,r2] );
rec( generators := [ x1, x2 ], 
relations := [ Comm( x1, x2, x2 ), Comm( x1, x2, x2, x1 ) ] )

2.7 A word about the implementation

The ANU NQ is written in C, but not in ANSI C. I hope to make one of the next versions ANSI compliable. However, it uses a fairly restricted subset of the language so that it should be easy to compile it in new environments. The code is 64-bit clean. If you have difficulties with porting it to a new environment, let me know and I'll be happy to assist if time permits.

The program has two collectors: a simple collector from the left as described in [LGS90] and a combinatorial from the left collector as described in [VL90]. The combinatorial collector is always faster than the simple collector, therefore, it is the collector used by this package by default. This can be changed by modifying the global variable NqDefaultOptions (3.4-2).

In a polycyclic group with generators that do not have power relations, exponents may become arbitrarily large. Experience shows that this happens rarely in the computations done by the ANU NQ. Exponents are represented by 32-bit integers. The collectors perform an overflow check and abort the computation if an overflow occurred. In a GNU environment the program can be compiled using the `long long' 64-bit integer type. For this uncomment the relevant line in src/Makefile and recompile the program.

As part of the step that enforces consistency and the relations of the group, the ANU NQ performs computations with integer matrices and converts them to Hermite Normal Form. The algorithm used here is a variation of the Kanan-Bachem algorithm based on the GNU multiple precision package GNU MP [GMP]. Experience shows that the integer matrices are usually fairly sparse and Kanan-Bachem seems to be sufficient in this context. However, the implementation might benefit from a more efficient strategy for computing Hermite Normal Forms. This is a topic for further investigations.

As the program does not compute the Smith Normal Form for each factor of the lower central series but the Hermite Normal Form, it does not necessarily obtain a minimal generating set for each factor of the lower central series. The following is a simple example of this behaviour. We take the presentation

\langle x, y | x^2 = y \rangle

The group is clearly isomorphic to the additive group of the integers. Applying the ANU NQ to this presentation gives the following nilpotent presentation:

\langle A,B | A^2 = B, [B,A] \rangle

A nilpotent presentation on a minimal generating set would be the presentation of the free group on one generator:

\langle A | \; \rangle

2.8 The input format of the standalone

The input format for finite presentations resembles the way many people write down a presentation on paper. Here are some examples of presentations that the ANU NQ accepts:



    < a, b | >                       # free group of rank 2

    < a, b, c; x, y | 
                [a,b,c],             # a left normed commutator
                [b,c,c,c]^6,         # another one raised to a power
                a^2 = c^-3*a^2*c^3,  # a relation
                a^(b*c) = a,         # a conjugate relation
                (a*[b,(a*c)])^6,     # something that looks complicated
                [x,y,y,y,y],         # an identical relation
                [c,x,x,x,x,x]        # c is a fifth right Engel element
    >


A presentation starts with '<' followed by a list of generators separated by commas. Generator names are strings that contain only upper and lower case letters, digits, dots and underscores and that do not start with a digit. The list of generator names is separated from the list of relators/relations by the symbol ''. The list of generators can be followed by a list of identical generators separated by a semicolon. Relators and relations are separated by commas and can be mixed arbitrarily. Parentheses can be used in order to group subexpressions together. Square brackets can be used in order to form left normed commutators. The symbols '*' and '^' can be used to form products and powers, respectively. The presentation finishes with the symbol '>'. A comment starts with the symbol '#' and finishes at the end of the line. The file src/presentation.c contains a complete grammar for the presentations accepted by the ANU NQ.

Typically, the input for the standalone is put into a file by using a standard text editor. The file can be passed as an argument to the function NilpotentQuotient (3.1-1). It is also possible to put a presentation in the standalone's input format into a string and use the string as argument for NilpotentQuotient (3.1-1).

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nq-2.5.4/doc/install.xml0000664000371700037170000000722713441553627016331 0ustar gap-jenkinsgap-jenkins Installation of the Package Installation of the ANU NQ is done in two steps.
Configuring for compilation First the configure script is run: ./configure If you installed the package in another pkg directory than the standard pkg directory in your &GAP; 4 installation, then you have to do two things. Firstly during compilation you have to use the option --with-gaproot=PATH of the configure script where PATH is a path to the main &GAP; root directory (if not given the default ../.. is assumed). That is, run ./configure --with-gaproot=PATH Secondly you have to specify the path to the directory containing your pkg directory to &GAP;'s list of directories. This can be done by starting &GAP; with the -l command line option followed by the name of the directory and a semicolon. Then your directory is prepended to the list of directories searched. Otherwise the package is not found by &GAP;. Of course, you can add this option to your &GAP; startup script.

Another issue that can occur when running configure is that it may fail to locate the the GNU multiple precision library (GMP ) which ANU NQ requires to work. This library is also used by &GAP; and hence normally should be available on your system anyway. But if this is not the case for some reason, it has to be installed first. A copy of GMP can be obtained from http://gmplib.org/.

In order for the configure script to find your copy of GMP, you may have tell it where to find it via --with-gmp=PATH, where PATH is the path where GMP was installed:

./configure --with-gmp=PATH Yf necessary, you may combine --with-gmp and --with-gaproot.
Compiling the nq binary If configure reports no problems, the next step is to start the compilation: make

A compiled version of the program named nq is then placed into the directory bin/&tlt;complicated name&tgt;. The &tlt;complicated name&tgt; component encodes the operating system and the compiler used. This allows you to compile NQ on several architectures sharing the same files system.

If there are any warnings or even fatal error messages during the compilation process, please submit a bug report about that following the instructions in Section

Testing After the compilation is finished you can check if the ANU NQ is running properly on your system. Simply type make test This runs some computations and compares their output with the output files in the directory examples. If any errors are reported, please follow the instructions below.
Feedback If you encounter problems with any of the above steps, please do not hesitate to contact us about this. You can either use the https://github.com/gap-system/nq/issues or contact the GAP support group via support@gap-system.org. Please make sure to include information about the specific issue you encountered (e.g. steps to reproduce it, the specific error message), your operating system, the compiler you used and also the versions of &GAP; and this package that were involved.
nq-2.5.4/doc/chap3.html0000664000371700037170000011447413441553627016030 0ustar gap-jenkinsgap-jenkins GAP (nq) - Chapter 3: The Functions of the Package
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3 The Functions of the Package
 3.1 Nilpotent Quotients of Finitely Presented Groups
 3.2 Expression Trees
 3.3 Auxiliary Functions
 3.4 Global Variables
 3.5 Diagnostic Output

3 The Functions of the Package

3.1 Nilpotent Quotients of Finitely Presented Groups

3.1-1 NilpotentQuotient
‣ NilpotentQuotient( [output-file, ]fp-group[, id-gens][, c] )( function )
‣ NilpotentQuotient( [output-file, ]input-file[, c] )( function )

The parameter fp-group is either a finitely presented group or a record specifying a presentation by expression trees (see section 2.6). The parameter input-file is a string specifying the name of a file containing a finite presentation in the input format (cf. section 2.8) of the ANU NQ. Such a file can be prepared by a text editor or with the help of the function NqStringFpGroup (3.3-2).

Let G be the group defined by fp-group or the group defined in input-file. The function computes a nilpotent presentation for G/γ_c+1(G) if the optional parameter c is specified. If c is not given, then the function attempts to compute the largest nilpotent quotient of G and it will terminate only if G has a largest nilpotent quotient. See section 3.5 for a possibility to follow the progress of the computation.

The optional argument id-gens is a list of generators of the free group underlying the finitely presented group fp-group. The generators in this list are treated as identical generators. Consequently, all relations of the fp-group involving these generators are treated as identical relations for these generators.

In addition to the arguments explained above, the function accepts the following options as shown in the first example below:

The following example computes the class-5 quotient of the free group on two generators.


gap> F := FreeGroup( 2 );
<free group on the generators [ f1, f2 ]>
gap> ## Equivalent to:  NilpotentQuotient( : group := F, class := 5 );
gap> ##                 NilpotentQuotient( F : class := 5 );          
gap> H := NilpotentQuotient( F, 5 );
Pcp-group with orders [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
gap> lcs := LowerCentralSeries( H );;
gap> for i in [1..5] do Print( lcs[i] / lcs[i+1], "\n" ); od;
Pcp-group with orders [ 0, 0 ]
Pcp-group with orders [ 0 ]
Pcp-group with orders [ 0, 0 ]
Pcp-group with orders [ 0, 0, 0 ]
Pcp-group with orders [ 0, 0, 0, 0, 0, 0 ]

Note that the lower central series in the example is part of the data returned by the standalone program. Therefore, the execution of the function LowerCentralSeries takes no time.

The next example computes the class-4 quotient of the infinite dihedral group. The group is soluble but not nilpotent. The first factor of its lower central series is a Klein four group and all the other factors are cyclic or order 2.


gap> F := FreeGroup( 2 );
<free group on the generators [ f1, f2 ]>
gap> G := F / [F.1^2, F.2^2];
<fp group on the generators [ f1, f2 ]>
gap> H := NilpotentQuotient( G, 4 ); 
Pcp-group with orders [ 2, 2, 2, 2, 2 ]
gap> lcs := LowerCentralSeries( H );;
gap> for i in [1..Length(lcs)-1] do
>       Print( AbelianInvariants(lcs[i] / lcs[i+1]), "\n" );
> od;
[ 2, 2 ]
[ 2 ]
[ 2 ]
[ 2 ]
gap> 

In the following example identical generators are used in order to express the fact that the group is nilpotent of class 3. A group is nilpotent of class 3 if it satisfies the identical relation [x_1,x_2,x_3,x_4]=1 (cf. Section 2.5). The result is the free nilpotent group of class 3 on two generators.


gap> F := FreeGroup( "a", "b", "w", "x", "y", "z" );
<free group on the generators [ a, b, w, x, y, z ]>
gap> G := F / [ LeftNormedComm( [F.3,F.4,F.5,F.6] ) ];
<fp group of size infinity on the generators [ a, b, w, x, y, z ]>
gap> ## The following is equivalent to: 
gap> ##   NilpotentQuotient( G : idgens := [F.3,F.4,F.5,F.6] );
gap> H := NilpotentQuotient( G, [F.3,F.4,F.5,F.6] );
Pcp-group with orders [ 0, 0, 0, 0, 0 ]
gap> NilpotencyClassOfGroup(H);
3
gap> LowerCentralSeries(H);
[ Pcp-group with orders [ 0, 0, 0, 0, 0 ], Pcp-group with orders [ 0, 0, 0 ], 
  Pcp-group with orders [ 0, 0 ], Pcp-group with orders [  ] ]

The following example uses expression trees in order to specify the third Engel law for the free group on 3 generators.


gap> et := ExpressionTrees( 5 );                            
[ x1, x2, x3, x4, x5 ]
gap> comm := LeftNormedComm( [et[1], et[2], et[2], et[2]] );
Comm( x1, x2, x2, x2 )
gap> G := rec( generators := et, relations := [comm] );
rec( generators := [ x1, x2, x3, x4, x5 ], 
  relations := [ Comm( x1, x2, x2, x2 ) ] )
gap> H := NilpotentQuotient( G : idgens := [et[1],et[2]] );
Pcp-group with orders [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 4, 2, 2, 
  0, 6, 6, 0, 0, 2, 10, 10, 10 ]
gap> TorsionSubgroup( H );
Pcp-group with orders [ 2, 2, 2, 2, 2, 2, 2, 10, 10, 10 ]
gap> lcs := LowerCentralSeries( H );;
gap> NilpotencyClassOfGroup( H );
5
gap> for i in [1..5] do Print( lcs[i] / lcs[i+1], "\n" ); od;
Pcp-group with orders [ 0, 0, 0 ]
Pcp-group with orders [ 0, 0, 0 ]
Pcp-group with orders [ 0, 0, 0, 0, 0, 0, 0, 0 ]
Pcp-group with orders [ 2, 4, 2, 2, 0, 6, 6, 0, 0, 2 ]
Pcp-group with orders [ 10, 10, 10 ]
gap> for i in [1..5] do Print( AbelianInvariants(lcs[i]/lcs[i+1]), "\n" ); od;
[ 0, 0, 0 ]
[ 0, 0, 0 ]
[ 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 2, 2, 2, 2, 2, 2, 2, 0, 0, 0 ]
[ 10, 10, 10 ]

The example above also shows that the relative orders of an abelian polycyclic group need not be the abelian invariants (elementary divisors) of the group. Each zero corresponds to a generator of infinite order. The number of zeroes is always correct.

3.1-2 NilpotentEngelQuotient
‣ NilpotentEngelQuotient( [output-file, ]fp-group, n[, id-gens][, c] )( function )
‣ NilpotentEngelQuotient( [output-file, ]input-file, n[, c] )( function )

This function is a special version of NilpotentQuotient (3.1-1) which enforces the n-th Engel identity on the nilpotent quotients of the group specified by fp-group or by input-file. It accepts the same options as NilpotentQuotient.

The Engel condition can also be enforced by using identical generators and the Engel law and NilpotentQuotient (3.1-1). See the examples there.

The following example computes the relatively free fifth Engel group on two generators, determines its (normal) torsion subgroup and computes the corresponding quotient group. The quotient modulo the torsion subgroup is torsion-free. Therefore, there is a nilpotent presentation without power relations. The example computes a nilpotent presentation for the torsion free factor group through the upper central series. The factors of the upper central series in a torsion free group are torsion free. In this way one obtains a set of generators of infinite order and the resulting nilpotent presentation has no power relations.

gap> G := NilpotentEngelQuotient( FreeGroup(2), 5 );
Pcp-group with orders [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 10, 
  0, 0, 30, 0, 3, 3, 10, 2, 0, 6, 0, 0, 30, 2, 0, 9, 3, 5, 2, 6, 2, 10, 5, 5, 
  2, 0, 3, 3, 3, 3, 3, 5, 5, 3, 3 ]
gap> NilpotencyClassOfGroup(G);
9
gap> T := TorsionSubgroup( G );
Pcp-group with orders [ 3, 3, 2, 2, 3, 3, 2, 9, 3, 5, 2, 3, 2, 10, 5, 2, 3, 
  3, 3, 3, 3, 5, 5, 3, 3 ]
gap> IsAbelian( T );
true
gap> AbelianInvariants( T );
[ 3, 3, 3, 3, 3, 3, 3, 3, 30, 30, 30, 180, 180 ]
gap> H := G / T;
Pcp-group with orders [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 10, 
  0, 0, 30, 0, 5, 0, 2, 0, 0, 10, 0, 2, 5, 0 ]
gap> H := PcpGroupBySeries( UpperCentralSeries(H), "snf" );
Pcp-group with orders [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
  0, 0, 0, 0, 0 ]
gap> ucs := UpperCentralSeries( H );;
gap> for i in [1..NilpotencyClassOfGroup(H)] do
> 	Print( ucs[i]/ucs[i+1], "\n" );
> od;
Pcp-group with orders [ 0, 0 ]
Pcp-group with orders [ 0 ]
Pcp-group with orders [ 0, 0 ]
Pcp-group with orders [ 0, 0, 0 ]
Pcp-group with orders [ 0, 0, 0, 0, 0, 0 ]
Pcp-group with orders [ 0, 0, 0, 0 ]
Pcp-group with orders [ 0, 0 ]
Pcp-group with orders [ 0, 0, 0 ]

3.1-3 NqEpimorphismNilpotentQuotient
‣ NqEpimorphismNilpotentQuotient( [output-file, ]fp-group[, id-gens][, c] )( function )

This function computes an epimorphism from the group G given by the finite presentation fp-group onto G/γ_c+1(G). If c is not given, then the largest nilpotent quotient of G is computed and an epimorphism from G onto the largest nilpotent quotient of G. If G does not have a largest nilpotent quotient, the function will not terminate if c is not given.

The optional argument id-gens is a list of generators of the free group underlying the finitely presented group fp-group. The generators in this list are treated as identical generators. Consequently, all relations of the fp-group involving these generators are treated as identical relations for these generators.

If identical generators are specified, then the epimorphism returned maps the group generated by the `non-identical' generators onto the nilpotent factor group. See the last example below.

The function understands the same options as the function NilpotentQuotient (3.1-1).


gap> F := FreeGroup(3);                              
<free group on the generators [ f1, f2, f3 ]>
gap> phi := NqEpimorphismNilpotentQuotient( F, 5 );
[ f1, f2, f3 ] -> [ g1, g2, g3 ]
gap> Image( phi, LeftNormedComm( [F.3, F.2, F.1] ) );
g12
gap> F := FreeGroup( "a", "b" ); 
<free group on the generators [ a, b ]>
gap> G := F / [ F.1^2, F.2^2 ];     
<fp group on the generators [ a, b ]>
gap> phi := NqEpimorphismNilpotentQuotient( G, 4 );   
[ a, b ] -> [ g1, g2 ]
gap> Image( phi, Comm(G.1,G.2) ); 
g3*g4
gap> F := FreeGroup( "a", "b", "u", "v", "x" );
<free group on the generators [ a, b, u, v, x ]>
gap> a := F.1;; b := F.2;; u := F.3;; v := F.4;; x := F.5;;
gap> G := F / [ x^5, LeftNormedComm( [u,v,v,v] ) ];
<fp group of size infinity on the generators [ a, b, u, v, x ]>
gap> phi := NqEpimorphismNilpotentQuotient( G : idgens:=[u,v,x], class:=5 );
[ a, b ] -> [ g1, g2 ]
gap> U := Source(phi);                            
Group([ a, b ])
gap> ImageElm( phi, LeftNormedComm( [U.1*U.2, U.2^-1,U.2^-1,U.2^-1,] ) );
id

Note that the last epimorphism is a map from the group generated by a and b onto the nilpotent quotient. The identical generators are used only to formulate the identical relator. They are not generators of the group G. Also note that the left-normed commutator above is mapped to the identity as G satisfies the specified identical law.

3.1-4 LowerCentralFactors
‣ LowerCentralFactors( ... )( function )

This function accepts the same arguments and options as NilpotentQuotient (3.1-1) and returns a list containing the abelian invariants of the central factors in the lower central series of the specified group.

gap> LowerCentralFactors( FreeGroup(2), 6 );
[ [ 0, 0 ], [ 0 ], [ 0, 0 ], [ 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0 ], 
  [ 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

3.2 Expression Trees

3.2-1 ExpressionTrees
‣ ExpressionTrees( m[, prefix] )( function )
‣ ExpressionTrees( str1, str2, str3, ... )( function )

The argument m must be a positive integer. The function returns a list with m expression tree symbols named x1, x2,... The optional parameter prefix must be a string and is used instead of x if present.

Alternatively, the function can be executed with a list of strings str1, str2, .... It returns a list of symbols with these strings as names.

The following operations are defined for expression trees: multiplication, inversion, exponentiation, forming commutators, forming conjugates.

gap> t := ExpressionTrees( 3 );                      
[ x1, x2, x3 ]
gap> tree := Comm( t[1], t[2] )^3/LeftNormedComm( [t[1],t[2],t[3],t[1]] );
Comm( x1, x2 )^3/Comm( x1, x2, x3, x1 )
gap> t := ExpressionTrees( "a", "b", "x" );
[ a, b, x ]
gap> tree := Comm( t[1], t[2] )^3/LeftNormedComm( [t[1],t[2],t[3],t[1]] );
Comm( a, b )^3/Comm( a, b, x, a )

3.2-2 EvaluateExpTree
‣ EvaluateExpTree( tree, symbols, values )( function )

The argument tree is an expression tree followed by the list of those symbols symbols from which the expression tree is built up. The argument values is a list containing a constant for each symbol. The function substitutes each value for the corresponding symbol and computes the resulting value for tree.


gap> F := FreeGroup( 3 );                               
<free group on the generators [ f1, f2, f3 ]>
gap> t := ExpressionTrees( "a", "b", "x" );
[ a, b, x ]
gap> tree := Comm( t[1], t[2] )^3/LeftNormedComm( [t[1],t[2],t[3],t[1]] );
Comm( a, b )^3/Comm( a, b, x, a )
gap> EvaluateExpTree( tree, t, GeneratorsOfGroup(F) );
f1^-1*f2^-1*f1*f2*f1^-1*f2^-1*f1*f2*f1^-1*f2^-1*f1*f2*f1^-1*f3^-1*f2^-1*f1^
-1*f2*f1*f3*f1^-1*f2^-1*f1*f2*f1*f2^-1*f1^-1*f2*f1*f3^-1*f1^-1*f2^-1*f1*f2*f3

3.3 Auxiliary Functions

3.3-1 NqReadOutput
‣ NqReadOutput( stream )( function )

The only argument stream is an output stream of the ANU NQ. The function reads the stream and returns a record that has a component for each global variable used in the output of the ANU NQ, see NqGlobalVariables (3.4-3).

3.3-2 NqStringFpGroup
‣ NqStringFpGroup( fp-group[, idgens] )( function )

The function takes a finitely presented group fp-group and returns a string in the input format of the ANU NQ. If the list idgens is present, then it must contain generators of the free group underlying the finitely presented group FreeGroupOfFpGroup (Reference: FreeGroupOfFpGroup). The generators in idgens are treated as identical generators.


gap> F := FreeGroup(2);
<free group on the generators [ f1, f2 ]>
gap> G := F / [F.1^2, F.2^2, (F.1*F.2)^4];
<fp group on the generators [ f1, f2 ]>
gap> NqStringFpGroup( G );
"< x1, x2 |\n    x1^2,\n    x2^2,\n    x1*x2*x1*x2*x1*x2*x1*x2\n>\n"
gap> Print( last );
< x1, x2 |
    x1^2,
    x2^2,
    x1*x2*x1*x2*x1*x2*x1*x2
>
gap> PrintTo( "dihedral", last );
gap> ## The following is equivalent to: 
gap> ##     NilpotentQuotient( : input_file := "dihedral" );
gap> NilpotentQuotient( "dihedral" );
Pcp-group with orders [ 2, 2, 2 ]
gap> Exec( "rm dihedral" );
gap> F := FreeGroup(3);
<free group on the generators [ f1, f2, f3 ]>
gap> H := F / [ LeftNormedComm( [F.2,F.1,F.1] ),                               
>               LeftNormedComm( [F.2,F.1,F.2] ), F.3^7 ];
<fp group on the generators [ f1, f2, f3 ]>
gap> str := NqStringFpGroup( H, [F.3] );                                  
"< x1, x2; x3 |\n    x1^-1*x2^-1*x1*x2*x1^-1*x2^-1*x1^-1*x2*x1^2,\n    x1^-1*x\
2^-1*x1*x2^-1*x1^-1*x2*x1*x2,\n    x3^7\n>\n"
gap> NilpotentQuotient( : input_string := str );
Pcp-group with orders [ 7, 7, 7 ]

3.3-3 NqStringExpTrees
‣ NqStringExpTrees( fp-group[, idgens] )( function )

The function takes a finitely presented group fp-group given in terms of expression trees and returns a string in the input format of the ANU NQ. If the list idgens is present, then it must contain a sublist of the generators of the presentation. The generators in idgens are treated as identical generators.


gap> x := ExpressionTrees( 2 );
[ x1, x2 ]
gap> rels := [x[1]^2, x[2]^2, (x[1]*x[2])^5]; 
[ x1^2, x2^2, (x1*x2)^5 ]
gap> NqStringExpTrees( rec( generators := x, relations := rels ) );
"< x1, x2 |\n    x1^2,\n    x2^2,\n    (x1*x2)^5\n>\n"
gap> Print( last );         
< x1, x2 |
    x1^2,
    x2^2,
    (x1*x2)^5
>
gap> x := ExpressionTrees( 3 );
[ x1, x2, x3 ]
gap> rels := [LeftNormedComm( [x[2],x[1],x[1]] ),                              
>             LeftNormedComm( [x[2],x[1],x[2]] ), x[3]^7 ];
[ Comm( x2, x1, x1 ), Comm( x2, x1, x2 ), x3^7 ]
gap> NqStringExpTrees( rec( generators := x, relations := rels ) );
"< x1, x2, x3 |\n    [ x2, x1, x1 ],\n    [ x2, x1, x2 ],\n    x3^7\n>\n"
gap> Print( last );
< x1, x2, x3 |
    [ x2, x1, x1 ],
    [ x2, x1, x2 ],
    x3^7
>

3.3-4 NqElementaryDivisors
‣ NqElementaryDivisors( int-mat )( function )

The function ElementaryDivisorsMat (Reference: ElementaryDivisorsMat) only returns the non-zero elementary divisors of an integer matrix. This function computes the elementary divisors of int-mat and adds the appropriate number of zeroes in order to make it easier to recognize the isomorphism type of the abelian group presented by the integer matrix. At the same time ones are stripped from the list of elementary divisors.

3.4 Global Variables

3.4-1 NqRuntime
‣ NqRuntime( global variable )

This variable contains the number of milliseconds of runtime of the last call of ANU NQ.

gap> NilpotentEngelQuotient( FreeGroup(2), 5 );
Pcp-group with orders [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 10, 
  0, 0, 30, 0, 3, 3, 10, 2, 0, 6, 0, 0, 30, 2, 0, 9, 3, 5, 2, 6, 2, 10, 5, 5, 
  2, 0, 3, 3, 3, 3, 3, 5, 5, 3, 3 ]
gap> NqRuntime;
18200

3.4-2 NqDefaultOptions
‣ NqDefaultOptions( global variable )

This variable contains a list of strings which are the standard command line options passed to the ANU NQ in each call. Modifying this variable can be used to pass additional options to the ANU NQ.

gap> NqDefaultOptions;
[ "-g", "-p", "-C", "-s" ]

The option -g causes the ANU NQ to produce output in GAP-format. The option -p prevents the ANU NQ from listing the pc-presentation of the nilpotent quotient at the end of the calculation. The option -C invokes the combinatorial collector. The option -s is effective only in conjunction with options for computing with Engel identities and instructs the ANU NQ to use only semigroup words in the generators as instances of an Engel law.

3.4-3 NqGlobalVariables
‣ NqGlobalVariables( global variable )

This variable contains a list of strings with the names of the global variables that are used in the output stream of the ANU NQ. While the output stream is read, these global variables are assigned new values. To avoid overwriting these variables in case they contain values, their contents is saved before reading the output stream and restored afterwards.

3.5 Diagnostic Output

While the standalone program is running it can be asked to display progress information. This is done by setting the info class InfoNQ to 1 via the function SetInfoLevel (Reference: InfoLevel).

gap> NilpotentQuotient(FreeGroup(2),5);
Pcp-group with orders [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
gap> SetInfoLevel( InfoNQ, 1 );
gap> NilpotentQuotient(FreeGroup(2),5);
#I  Class 1: 2 generators with relative orders  0 0
#I  Class 2: 1 generators with relative orders: 0
#I  Class 3: 2 generators with relative orders: 0 0
#I  Class 4: 3 generators with relative orders: 0 0 0
#I  Class 5: 6 generators with relative orders: 0 0 0 0 0 0
Pcp-group with orders [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
gap> SetInfoLevel( InfoNQ, 0 );
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1 Introduction

1 Introduction

This package provides an interface between GAP 4 and the Australian National University Nilpotent Quotient Program (ANU NQ). The ANU NQ was implemented as part of the author's work towards his PhD at the Australian National University, hence the name of the program. The program takes as input a finite presentation of a group and successively computes factor groups modulo the terms of the lower central series of the group. These factor groups are computed in terms of polycyclic presentations.

The ANU NQ is implemented in the programming language C. The implementation has been developed in a Unix environment and Unix is currently the only operating system supported. It runs on a number of different Unix versions, e.g. Solaris and Linux.

For integer matrix computations it relies on the GNU MP [GMP] package and requires this package to be installed on your system.

This package relies on the functionality for polycyclic groups provided by the GAP package polycyclic [EN02] and requires the package polycyclic to be installed as a GAP package on your computer system.

Comments, bug reports and suggestions are very welcome, please submit them via our issue tracker.

This manual contains references to parts of the GAP Reference Manual which are typeset in a slightly idiosyncratic way. The following example shows how such references are printed: 'For further information on creating a free group see FreeGroup (Reference: FreeGroup).' The text in bold face refers to the GAP Reference Manual.

Each item in the list of references at the end of this manual is followed by a list of numbers that specify the pages of the manual where the reference occurs.

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nq-2.5.4/doc/title.xml0000664000371700037170000000535113441553627016000 0ustar gap-jenkinsgap-jenkins nq A &GAP; 4 Package
computing nilpotent factor groups of finitely presented groups

Based on the ANU Nilpotent Quotient Program
2.5.4 Max Horn
AG Algebra
Mathematisches Institut
Justus-Liebig-Universität Gießen
Arndtstraße 2
35392 Gießen
Germany
max.horn@math.uni-giessen.de https://www.quendi.de/math
Werner Nickel
http://www.mathematik.tu-darmstadt.de/~nickel/
15 February 2019 License ©right; 1992-2007 Werner Nickel

The &nq; package is free software; you can redistribute it and/or modify it under the terms of the http://www.fsf.org/licenses/gpl.html as published by the Free Software Foundation; either version 2 of the License, or (at your option) any later version. The author of ANU NQ is Werner Nickel.

The development of this program was started while the author was supported by an Australian National University PhD scholarship and an Overseas Postgraduate Research Scholarship.

Further development of this program was done with support from the DFG-Schwerpunkt-Projekt "`Algorithmische Zahlentheorie und Algebra"'.

Since then, maintenance of ANU NQ has been taken over by Max Horn. All credit for creating ANU NQ still goes to Werner Nickel as sole author. However, bug reports and other inquiries should be sent to Max Horn.

The following are the original acknowledgements by Werner Nickel.

Over the years a number of people have made useful suggestions that found their way into the code: Mike Newman, Michael Vaughan-Lee, Joachim Neubüser, Charles Sims.

Thanks to Volkmar Felsch and Joachim Neubüser for their careful examination of the package prior to its release for GAP 4.

This documentation was prepared with the GAPDoc package by Frank Lübeck and Max Neunhöffer. nq-2.5.4/doc/chapA_mj.html0000664000371700037170000003665313441553627016536 0ustar gap-jenkinsgap-jenkins GAP (nq) - Appendix A: The nq command line interface

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A The nq command line interface

A.1 How to use the ANU NQ

If you start the ANU NQ by typing

     nq -X

you will get the following message:

    unknown option: -X
    usage: nq [-a] [-M] [-d] [-g] [-v] [-s] [-f] [-c] [-m]
              [-t <n>] [-l <n>] [-r <n>] [-n <n>] [-e <n>]
              [-y] [-o] [-p] [-E] [<presentation>] [<class>]

All parameters in square brackets are optional. The parameter <presentation> has to be the name of a file that contains a finite group presentation for which a nilpotent quotient is to be calculated. This file name must not start with a digit. If it is not present, nq will read the presentation from standard input. The parameter <class> restricts the computation of the nilpotent quotient to at most that (nilpotency) class, i.e. the program calculates the quotient group of the \((c+1)\)-th term of the lower central series. If <class> is omitted, the program computes successively the factor groups of the lower central series of the given group. If there is a largest nilpotent quotient, i.e., if the lower central series becomes constant, the program will eventually terminate with the largest nilpotent quotient. If there is no largest nilpotent quotient, the program will run forever (or more precisely will run out of resources). On termination the program prints a nilpotent presentation for the nilpotent quotient it has computed. The options -l, -r and -e can be used to enforce Engel conditions on the nilpotent quotient to be calculated. All these options have to be followed by a positive integer <n>. Their meaning is the following:

-n <k>

This option forces the first k generators to be left or right Engel element if also the option -l or -r (or both) is present. Otherwise it is ignored.

-l <n>

This forces the first k generators \(g_1,...,g_k\) of the nilpotent quotient Q to be left n-Engel elements, i.e., they satisfy \([x,...,x,g_i] = 1\) (x occurring n-times) for all x in Q and \(1 <= i <= k\). If the option -n is not used, then k = 1.

-r <n>

This forces the first k generators \(g_1,...,g_k\) of the nilpotent quotient Q to be right n-Engel elements,i.e., they satisfy \([g_i,x,..,x] = 1\) (x occurring n-times) for all x in Q and \(1 <= i <= k\). If the option -n is not used, then k = 1.

-e <n>

This enforces the n-th Engel law on Q, i.e., \([x,y,..,y] = 1\) (y occurring n-times) for all x,y in Q.

-t <n>

This option specifies how much CPU time the program is allowed to use. It will terminate after <n> seconds of CPU time. If <n> is followed (without space) by one of the letters m, h or d, <n> specifies the time in minutes, hours or days, respectively.

The other options have the following meaning. Care has to be taken when the options -s or -c are used since the resulting nilpotent quotient need NOT satisfy the required Engel condition. The reason for this is that a smaller set of test words is used if one of these two options are present. Although this smaller set of test words seems to be sufficient to enforce the required Engel condition, this fact has not been proven.

-a

For each factor of the lower central series a file is created in the current directory that contains an integer matrix describing the factor as abelian group. The first number in that file is the number of columns of the matrix. Then the matrix follows in row major order. The matrix for the i-th factor is put into the file <presentation>.abinv.<i>.

-p

toggles printing of the pc presentation for the nilpotent quotient at the end of a calculation.

-s

This option causes the program to check only semigroup words in the generating set of the nilpotent quotient when an Engel condition is enforced. If none of the options -l, -r or -e are present, it is ignored.

-f

This option causes to check semiwords in the generating set of the nilpotent quotient first and then all other words that need to be checked. It is ignored if the option -s is used or none of the options -l, -r or -e are present.

-c

This option stops checking the Engel law at each class if all the checks of a certain weight did not yield any non-trivial instances of the law.

-d

Switch on debug mode and perform checks during the computation. Not yet implemented.

-o

In checking Engel identities, instances are process in the order of increased weight. This flag reverses the order.

-y

Enforce the identities \(x^8\) and \([ [x1,x2,x3], [x4,x5,x6] ]\) on the nilpotent quotient.

-v

Switch on verbose mode.

-g

Produce GAP output. Presently the GAP output consists only of a sequence of integer matrices whose rows are relations of the factors of the lower central series as abelian groups. This will change as soon as GAP can handle infinite polycyclic groups.

-E

the *last* n generators are Engel generators. This works in conjunction with option -n.

-m

output the relation matrix for each factor of the lower central series. The matrices are written to files with the names 'matrix.<cl>' where <cl> is replaced by the number of the factor in the lower central series. Each file contains first the number of columns of the matrix and then the rows of the matrix. The matrix is written as each relation is produced and is not in upper triangular form.

-M

output the relation matrix before and after relations have been enforced. This results in two groups of files with names '<pres>.nilp.<cl>' and '<pres>.mult.<cl>' where <pres> is the name of the input files and <cl> is the class. The matrices are in upper triangular form.

A.2 The input format for presentations

The input format for finite presentations resembles the way many people write down a presentation on paper. Here are some examples of presentations that the ANU NQ accepts:



    < a, b | >                       # free group of rank 2

    < a, b, c | [a,b,c],             # a left normed commutator
                [b,c,c,c]^6,         # another one raised to a power
                a^2 = c^-3*a^2*c^3,  # a relation
                a^(b*c) = a,         # a conjugate relation
                (a*[b,(a*c)])^6      # something that looks complicated
    >


A presentation starts with '<' followed be a list of generators separated by commas. Generator names are strings that contain only upper and lower case letters, digits, dots and underscores and that do not start with a digit. The list of generator names is separated from the list of relators/relations by the symbol '|'. Relators and relations are separated by commas and can be mixed arbitrarily. Parentheses can be used in order to group subexpressions together. Square brackets can be used in order to form left normed commutators. The symbols '*' and '^' can be used to form products and powers, respectively. The presentation finishes with the symbol '>'. A comment starts with the symbol '#' and finishes at the end of the line. The file src/presentation.c contains a complete grammar for the presentations accepted by the ANU NQ.

A.3 An example

Let G be the free group on two generators x and y. The input file (called free2.fp here) contains the following:



        < x, y | >


Computing the class 3 quotient with the ANU NQ by typing



        nq free2.fp 3


produces the following output:



#
#    The ANU Nilpotent Quotient Program (Version 2.3)
#    Calculating a nilpotent quotient
#    Input: free2.fp
#    Nilpotency class: 3
#    Program: nq
#    Size of exponents: 8 bytes
#
#    Calculating the abelian quotient ...
#    The abelian quotient has 2 generators
#        with the following exponents: 0 0
#
#    Calculating the class 2 quotient ...
##  Sizes:  2  3
#    Layer 2 of the lower central series has 1 generators
#          with the following exponents: 0
#
#    Calculating the class 3 quotient ...
##  Sizes:  2  3  5
#    Layer 3 of the lower central series has 2 generators
#          with the following exponents: 0 0
#


#    The epimorphism :
#    x |---> A
#    y |---> B


#    The nilpotent quotient :
    <A,B,C,D,E
      |
        B^A           =: B*C,
        B^(A^-1)      =  B*C^-1*D,
        C^A           =: C*D,
        C^(A^-1)      =  C*D^-1,
        C^B           =: C*E,
        C^(B^-1)      =  C*E^-1 >

#    Class : 3
#    Nr of generators of each class : 2 1 2


#    The definitions:
#    C := [ B, A ]
#    D := [ B, A, A ]
#    E := [ B, A, B ]
#    total runtime : 1 msec
#    total size    : 0 byte
##  Total time spent on integer matrices: 0


Most of the comments are fairly self-explanatory. One note of caution is necessary: The number of generators for each factor of the lower central series is not the minimal number possible but is the number of generators that the ANU NQ chose to use. This will be improved in one of the future version of the program. The epimorphism from the original group onto the nilpotent quotient is printed in a somewhat confusing way. The generators on the left hand side of the arrows correspond to the generators in the original presentation but are printed with different names. This will be fixed in one of the next version.

A.4 Some remarks about the algorithm

The implementation of the algorithm is fairly straight forward. The program uses a weighted nilpotent presentation with definitions to represent a nilpotent group. Calculations in the nilpotent group are done using a collector from the left without combinatorial collection. Generators for the \(c\)-th lower central factor are defined as commutators of the form \([y,x]\), where \(x\) is a generator of weight 1 and \(y\) is a generator of weight \(c-1\). Then the program calculates the necessary changes (tails) for all relations which are not definitions, runs through the consistency check and evaluates the original relations on the polycyclic presentation. This gives a list of words, which have to be made trivial in order to obtain a consistent polycyclic presentation representing a nilpotent quotient of the given finitely presented group. This list is converted into a integer matrix, which is transformed into upper triangular form using the Kannan-Bachem algorithm. The GNU multiple precision package is used for this.

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Index

nq .-3
class 2.2
commutator 2.1
commutator relation 2.3
consistent 2.3
EvaluateExpTree 3.2-2
expression trees 2.6
ExpressionTrees 3.2-1 3.2-1
identical generator 2.5
identical relation 2.5
law 2.5
left Engel element 2.5
left-normed commutator 2.1
License .-1
lower central series 2.1
LowerCentralFactors 3.1-4
nilpotency class 2.2
nilpotent 2.2
nilpotent presentation 2.3
Nilpotent Quotient Package 3.
NilpotentEngelQuotient 3.1-2 3.1-2
NilpotentQuotient 3.1-1 3.1-1
NqDefaultOptions 3.4-2
NqElementaryDivisors 3.3-4
NqEpimorphismNilpotentQuotient 3.1-3
NqGlobalVariables 3.4-3
NqReadOutput 3.3-1
NqRuntime 3.4-1
NqStringExpTrees 3.3-3
NqStringFpGroup 3.3-2
options 3.1-1
    class 3.1-1
    group 3.1-1
    idgens 3.1-1
    input\_file 3.1-1
    input\_string 3.1-1
    ouput\_file 3.1-1
polycyclic 2.2
polycyclic generating sequence 2.2
polycyclic presentation 2.3
power relation 2.3
right Engel element 2.5

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3 The Functions of the Package

3.1 Nilpotent Quotients of Finitely Presented Groups

3.1-1 NilpotentQuotient
‣ NilpotentQuotient( [output-file, ]fp-group[, id-gens][, c] )( function )
‣ NilpotentQuotient( [output-file, ]input-file[, c] )( function )

The parameter fp-group is either a finitely presented group or a record specifying a presentation by expression trees (see section 2.6). The parameter input-file is a string specifying the name of a file containing a finite presentation in the input format (cf. section 2.8) of the ANU NQ. Such a file can be prepared by a text editor or with the help of the function NqStringFpGroup (3.3-2).

Let \(G\) be the group defined by fp-group or the group defined in input-file. The function computes a nilpotent presentation for \(G/\gamma_{c+1}(G)\) if the optional parameter c is specified. If c is not given, then the function attempts to compute the largest nilpotent quotient of \(G\) and it will terminate only if \(G\) has a largest nilpotent quotient. See section 3.5 for a possibility to follow the progress of the computation.

The optional argument id-gens is a list of generators of the free group underlying the finitely presented group fp-group. The generators in this list are treated as identical generators. Consequently, all relations of the fp-group involving these generators are treated as identical relations for these generators.

In addition to the arguments explained above, the function accepts the following options as shown in the first example below:

The following example computes the class-5 quotient of the free group on two generators.


gap> F := FreeGroup( 2 );
<free group on the generators [ f1, f2 ]>
gap> ## Equivalent to:  NilpotentQuotient( : group := F, class := 5 );
gap> ##                 NilpotentQuotient( F : class := 5 );          
gap> H := NilpotentQuotient( F, 5 );
Pcp-group with orders [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
gap> lcs := LowerCentralSeries( H );;
gap> for i in [1..5] do Print( lcs[i] / lcs[i+1], "\n" ); od;
Pcp-group with orders [ 0, 0 ]
Pcp-group with orders [ 0 ]
Pcp-group with orders [ 0, 0 ]
Pcp-group with orders [ 0, 0, 0 ]
Pcp-group with orders [ 0, 0, 0, 0, 0, 0 ]

Note that the lower central series in the example is part of the data returned by the standalone program. Therefore, the execution of the function LowerCentralSeries takes no time.

The next example computes the class-4 quotient of the infinite dihedral group. The group is soluble but not nilpotent. The first factor of its lower central series is a Klein four group and all the other factors are cyclic or order \(2\).


gap> F := FreeGroup( 2 );
<free group on the generators [ f1, f2 ]>
gap> G := F / [F.1^2, F.2^2];
<fp group on the generators [ f1, f2 ]>
gap> H := NilpotentQuotient( G, 4 ); 
Pcp-group with orders [ 2, 2, 2, 2, 2 ]
gap> lcs := LowerCentralSeries( H );;
gap> for i in [1..Length(lcs)-1] do
>       Print( AbelianInvariants(lcs[i] / lcs[i+1]), "\n" );
> od;
[ 2, 2 ]
[ 2 ]
[ 2 ]
[ 2 ]
gap> 

In the following example identical generators are used in order to express the fact that the group is nilpotent of class \(3\). A group is nilpotent of class \(3\) if it satisfies the identical relation \([x_1,x_2,x_3,x_4]=1\) (cf. Section 2.5). The result is the free nilpotent group of class \(3\) on two generators.


gap> F := FreeGroup( "a", "b", "w", "x", "y", "z" );
<free group on the generators [ a, b, w, x, y, z ]>
gap> G := F / [ LeftNormedComm( [F.3,F.4,F.5,F.6] ) ];
<fp group of size infinity on the generators [ a, b, w, x, y, z ]>
gap> ## The following is equivalent to: 
gap> ##   NilpotentQuotient( G : idgens := [F.3,F.4,F.5,F.6] );
gap> H := NilpotentQuotient( G, [F.3,F.4,F.5,F.6] );
Pcp-group with orders [ 0, 0, 0, 0, 0 ]
gap> NilpotencyClassOfGroup(H);
3
gap> LowerCentralSeries(H);
[ Pcp-group with orders [ 0, 0, 0, 0, 0 ], Pcp-group with orders [ 0, 0, 0 ], 
  Pcp-group with orders [ 0, 0 ], Pcp-group with orders [  ] ]

The following example uses expression trees in order to specify the third Engel law for the free group on \(3\) generators.


gap> et := ExpressionTrees( 5 );                            
[ x1, x2, x3, x4, x5 ]
gap> comm := LeftNormedComm( [et[1], et[2], et[2], et[2]] );
Comm( x1, x2, x2, x2 )
gap> G := rec( generators := et, relations := [comm] );
rec( generators := [ x1, x2, x3, x4, x5 ], 
  relations := [ Comm( x1, x2, x2, x2 ) ] )
gap> H := NilpotentQuotient( G : idgens := [et[1],et[2]] );
Pcp-group with orders [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 4, 2, 2, 
  0, 6, 6, 0, 0, 2, 10, 10, 10 ]
gap> TorsionSubgroup( H );
Pcp-group with orders [ 2, 2, 2, 2, 2, 2, 2, 10, 10, 10 ]
gap> lcs := LowerCentralSeries( H );;
gap> NilpotencyClassOfGroup( H );
5
gap> for i in [1..5] do Print( lcs[i] / lcs[i+1], "\n" ); od;
Pcp-group with orders [ 0, 0, 0 ]
Pcp-group with orders [ 0, 0, 0 ]
Pcp-group with orders [ 0, 0, 0, 0, 0, 0, 0, 0 ]
Pcp-group with orders [ 2, 4, 2, 2, 0, 6, 6, 0, 0, 2 ]
Pcp-group with orders [ 10, 10, 10 ]
gap> for i in [1..5] do Print( AbelianInvariants(lcs[i]/lcs[i+1]), "\n" ); od;
[ 0, 0, 0 ]
[ 0, 0, 0 ]
[ 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 2, 2, 2, 2, 2, 2, 2, 0, 0, 0 ]
[ 10, 10, 10 ]

The example above also shows that the relative orders of an abelian polycyclic group need not be the abelian invariants (elementary divisors) of the group. Each zero corresponds to a generator of infinite order. The number of zeroes is always correct.

3.1-2 NilpotentEngelQuotient
‣ NilpotentEngelQuotient( [output-file, ]fp-group, n[, id-gens][, c] )( function )
‣ NilpotentEngelQuotient( [output-file, ]input-file, n[, c] )( function )

This function is a special version of NilpotentQuotient (3.1-1) which enforces the \(n\)-th Engel identity on the nilpotent quotients of the group specified by fp-group or by input-file. It accepts the same options as NilpotentQuotient.

The Engel condition can also be enforced by using identical generators and the Engel law and NilpotentQuotient (3.1-1). See the examples there.

The following example computes the relatively free fifth Engel group on two generators, determines its (normal) torsion subgroup and computes the corresponding quotient group. The quotient modulo the torsion subgroup is torsion-free. Therefore, there is a nilpotent presentation without power relations. The example computes a nilpotent presentation for the torsion free factor group through the upper central series. The factors of the upper central series in a torsion free group are torsion free. In this way one obtains a set of generators of infinite order and the resulting nilpotent presentation has no power relations.

gap> G := NilpotentEngelQuotient( FreeGroup(2), 5 );
Pcp-group with orders [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 10, 
  0, 0, 30, 0, 3, 3, 10, 2, 0, 6, 0, 0, 30, 2, 0, 9, 3, 5, 2, 6, 2, 10, 5, 5, 
  2, 0, 3, 3, 3, 3, 3, 5, 5, 3, 3 ]
gap> NilpotencyClassOfGroup(G);
9
gap> T := TorsionSubgroup( G );
Pcp-group with orders [ 3, 3, 2, 2, 3, 3, 2, 9, 3, 5, 2, 3, 2, 10, 5, 2, 3, 
  3, 3, 3, 3, 5, 5, 3, 3 ]
gap> IsAbelian( T );
true
gap> AbelianInvariants( T );
[ 3, 3, 3, 3, 3, 3, 3, 3, 30, 30, 30, 180, 180 ]
gap> H := G / T;
Pcp-group with orders [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 10, 
  0, 0, 30, 0, 5, 0, 2, 0, 0, 10, 0, 2, 5, 0 ]
gap> H := PcpGroupBySeries( UpperCentralSeries(H), "snf" );
Pcp-group with orders [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
  0, 0, 0, 0, 0 ]
gap> ucs := UpperCentralSeries( H );;
gap> for i in [1..NilpotencyClassOfGroup(H)] do
> 	Print( ucs[i]/ucs[i+1], "\n" );
> od;
Pcp-group with orders [ 0, 0 ]
Pcp-group with orders [ 0 ]
Pcp-group with orders [ 0, 0 ]
Pcp-group with orders [ 0, 0, 0 ]
Pcp-group with orders [ 0, 0, 0, 0, 0, 0 ]
Pcp-group with orders [ 0, 0, 0, 0 ]
Pcp-group with orders [ 0, 0 ]
Pcp-group with orders [ 0, 0, 0 ]

3.1-3 NqEpimorphismNilpotentQuotient
‣ NqEpimorphismNilpotentQuotient( [output-file, ]fp-group[, id-gens][, c] )( function )

This function computes an epimorphism from the group \(G\) given by the finite presentation fp-group onto \(G/\gamma_{c+1}(G).\) If c is not given, then the largest nilpotent quotient of \(G\) is computed and an epimorphism from \(G\) onto the largest nilpotent quotient of \(G\). If \(G\) does not have a largest nilpotent quotient, the function will not terminate if \(c\) is not given.

The optional argument id-gens is a list of generators of the free group underlying the finitely presented group fp-group. The generators in this list are treated as identical generators. Consequently, all relations of the fp-group involving these generators are treated as identical relations for these generators.

If identical generators are specified, then the epimorphism returned maps the group generated by the `non-identical' generators onto the nilpotent factor group. See the last example below.

The function understands the same options as the function NilpotentQuotient (3.1-1).


gap> F := FreeGroup(3);                              
<free group on the generators [ f1, f2, f3 ]>
gap> phi := NqEpimorphismNilpotentQuotient( F, 5 );
[ f1, f2, f3 ] -> [ g1, g2, g3 ]
gap> Image( phi, LeftNormedComm( [F.3, F.2, F.1] ) );
g12
gap> F := FreeGroup( "a", "b" ); 
<free group on the generators [ a, b ]>
gap> G := F / [ F.1^2, F.2^2 ];     
<fp group on the generators [ a, b ]>
gap> phi := NqEpimorphismNilpotentQuotient( G, 4 );   
[ a, b ] -> [ g1, g2 ]
gap> Image( phi, Comm(G.1,G.2) ); 
g3*g4
gap> F := FreeGroup( "a", "b", "u", "v", "x" );
<free group on the generators [ a, b, u, v, x ]>
gap> a := F.1;; b := F.2;; u := F.3;; v := F.4;; x := F.5;;
gap> G := F / [ x^5, LeftNormedComm( [u,v,v,v] ) ];
<fp group of size infinity on the generators [ a, b, u, v, x ]>
gap> phi := NqEpimorphismNilpotentQuotient( G : idgens:=[u,v,x], class:=5 );
[ a, b ] -> [ g1, g2 ]
gap> U := Source(phi);                            
Group([ a, b ])
gap> ImageElm( phi, LeftNormedComm( [U.1*U.2, U.2^-1,U.2^-1,U.2^-1,] ) );
id

Note that the last epimorphism is a map from the group generated by \(a\) and \(b\) onto the nilpotent quotient. The identical generators are used only to formulate the identical relator. They are not generators of the group \(G\). Also note that the left-normed commutator above is mapped to the identity as \(G\) satisfies the specified identical law.

3.1-4 LowerCentralFactors
‣ LowerCentralFactors( ... )( function )

This function accepts the same arguments and options as NilpotentQuotient (3.1-1) and returns a list containing the abelian invariants of the central factors in the lower central series of the specified group.

gap> LowerCentralFactors( FreeGroup(2), 6 );
[ [ 0, 0 ], [ 0 ], [ 0, 0 ], [ 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0 ], 
  [ 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

3.2 Expression Trees

3.2-1 ExpressionTrees
‣ ExpressionTrees( m[, prefix] )( function )
‣ ExpressionTrees( str1, str2, str3, ... )( function )

The argument m must be a positive integer. The function returns a list with m expression tree symbols named x1, x2,... The optional parameter prefix must be a string and is used instead of x if present.

Alternatively, the function can be executed with a list of strings str1, str2, .... It returns a list of symbols with these strings as names.

The following operations are defined for expression trees: multiplication, inversion, exponentiation, forming commutators, forming conjugates.

gap> t := ExpressionTrees( 3 );                      
[ x1, x2, x3 ]
gap> tree := Comm( t[1], t[2] )^3/LeftNormedComm( [t[1],t[2],t[3],t[1]] );
Comm( x1, x2 )^3/Comm( x1, x2, x3, x1 )
gap> t := ExpressionTrees( "a", "b", "x" );
[ a, b, x ]
gap> tree := Comm( t[1], t[2] )^3/LeftNormedComm( [t[1],t[2],t[3],t[1]] );
Comm( a, b )^3/Comm( a, b, x, a )

3.2-2 EvaluateExpTree
‣ EvaluateExpTree( tree, symbols, values )( function )

The argument tree is an expression tree followed by the list of those symbols symbols from which the expression tree is built up. The argument values is a list containing a constant for each symbol. The function substitutes each value for the corresponding symbol and computes the resulting value for tree.


gap> F := FreeGroup( 3 );                               
<free group on the generators [ f1, f2, f3 ]>
gap> t := ExpressionTrees( "a", "b", "x" );
[ a, b, x ]
gap> tree := Comm( t[1], t[2] )^3/LeftNormedComm( [t[1],t[2],t[3],t[1]] );
Comm( a, b )^3/Comm( a, b, x, a )
gap> EvaluateExpTree( tree, t, GeneratorsOfGroup(F) );
f1^-1*f2^-1*f1*f2*f1^-1*f2^-1*f1*f2*f1^-1*f2^-1*f1*f2*f1^-1*f3^-1*f2^-1*f1^
-1*f2*f1*f3*f1^-1*f2^-1*f1*f2*f1*f2^-1*f1^-1*f2*f1*f3^-1*f1^-1*f2^-1*f1*f2*f3

3.3 Auxiliary Functions

3.3-1 NqReadOutput
‣ NqReadOutput( stream )( function )

The only argument stream is an output stream of the ANU NQ. The function reads the stream and returns a record that has a component for each global variable used in the output of the ANU NQ, see NqGlobalVariables (3.4-3).

3.3-2 NqStringFpGroup
‣ NqStringFpGroup( fp-group[, idgens] )( function )

The function takes a finitely presented group fp-group and returns a string in the input format of the ANU NQ. If the list idgens is present, then it must contain generators of the free group underlying the finitely presented group FreeGroupOfFpGroup (Reference: FreeGroupOfFpGroup). The generators in idgens are treated as identical generators.


gap> F := FreeGroup(2);
<free group on the generators [ f1, f2 ]>
gap> G := F / [F.1^2, F.2^2, (F.1*F.2)^4];
<fp group on the generators [ f1, f2 ]>
gap> NqStringFpGroup( G );
"< x1, x2 |\n    x1^2,\n    x2^2,\n    x1*x2*x1*x2*x1*x2*x1*x2\n>\n"
gap> Print( last );
< x1, x2 |
    x1^2,
    x2^2,
    x1*x2*x1*x2*x1*x2*x1*x2
>
gap> PrintTo( "dihedral", last );
gap> ## The following is equivalent to: 
gap> ##     NilpotentQuotient( : input_file := "dihedral" );
gap> NilpotentQuotient( "dihedral" );
Pcp-group with orders [ 2, 2, 2 ]
gap> Exec( "rm dihedral" );
gap> F := FreeGroup(3);
<free group on the generators [ f1, f2, f3 ]>
gap> H := F / [ LeftNormedComm( [F.2,F.1,F.1] ),                               
>               LeftNormedComm( [F.2,F.1,F.2] ), F.3^7 ];
<fp group on the generators [ f1, f2, f3 ]>
gap> str := NqStringFpGroup( H, [F.3] );                                  
"< x1, x2; x3 |\n    x1^-1*x2^-1*x1*x2*x1^-1*x2^-1*x1^-1*x2*x1^2,\n    x1^-1*x\
2^-1*x1*x2^-1*x1^-1*x2*x1*x2,\n    x3^7\n>\n"
gap> NilpotentQuotient( : input_string := str );
Pcp-group with orders [ 7, 7, 7 ]

3.3-3 NqStringExpTrees
‣ NqStringExpTrees( fp-group[, idgens] )( function )

The function takes a finitely presented group fp-group given in terms of expression trees and returns a string in the input format of the ANU NQ. If the list idgens is present, then it must contain a sublist of the generators of the presentation. The generators in idgens are treated as identical generators.


gap> x := ExpressionTrees( 2 );
[ x1, x2 ]
gap> rels := [x[1]^2, x[2]^2, (x[1]*x[2])^5]; 
[ x1^2, x2^2, (x1*x2)^5 ]
gap> NqStringExpTrees( rec( generators := x, relations := rels ) );
"< x1, x2 |\n    x1^2,\n    x2^2,\n    (x1*x2)^5\n>\n"
gap> Print( last );         
< x1, x2 |
    x1^2,
    x2^2,
    (x1*x2)^5
>
gap> x := ExpressionTrees( 3 );
[ x1, x2, x3 ]
gap> rels := [LeftNormedComm( [x[2],x[1],x[1]] ),                              
>             LeftNormedComm( [x[2],x[1],x[2]] ), x[3]^7 ];
[ Comm( x2, x1, x1 ), Comm( x2, x1, x2 ), x3^7 ]
gap> NqStringExpTrees( rec( generators := x, relations := rels ) );
"< x1, x2, x3 |\n    [ x2, x1, x1 ],\n    [ x2, x1, x2 ],\n    x3^7\n>\n"
gap> Print( last );
< x1, x2, x3 |
    [ x2, x1, x1 ],
    [ x2, x1, x2 ],
    x3^7
>

3.3-4 NqElementaryDivisors
‣ NqElementaryDivisors( int-mat )( function )

The function ElementaryDivisorsMat (Reference: ElementaryDivisorsMat) only returns the non-zero elementary divisors of an integer matrix. This function computes the elementary divisors of int-mat and adds the appropriate number of zeroes in order to make it easier to recognize the isomorphism type of the abelian group presented by the integer matrix. At the same time ones are stripped from the list of elementary divisors.

3.4 Global Variables

3.4-1 NqRuntime
‣ NqRuntime( global variable )

This variable contains the number of milliseconds of runtime of the last call of ANU NQ.

gap> NilpotentEngelQuotient( FreeGroup(2), 5 );
Pcp-group with orders [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 10, 
  0, 0, 30, 0, 3, 3, 10, 2, 0, 6, 0, 0, 30, 2, 0, 9, 3, 5, 2, 6, 2, 10, 5, 5, 
  2, 0, 3, 3, 3, 3, 3, 5, 5, 3, 3 ]
gap> NqRuntime;
18200

3.4-2 NqDefaultOptions
‣ NqDefaultOptions( global variable )

This variable contains a list of strings which are the standard command line options passed to the ANU NQ in each call. Modifying this variable can be used to pass additional options to the ANU NQ.

gap> NqDefaultOptions;
[ "-g", "-p", "-C", "-s" ]

The option -g causes the ANU NQ to produce output in GAP-format. The option -p prevents the ANU NQ from listing the pc-presentation of the nilpotent quotient at the end of the calculation. The option -C invokes the combinatorial collector. The option -s is effective only in conjunction with options for computing with Engel identities and instructs the ANU NQ to use only semigroup words in the generators as instances of an Engel law.

3.4-3 NqGlobalVariables
‣ NqGlobalVariables( global variable )

This variable contains a list of strings with the names of the global variables that are used in the output stream of the ANU NQ. While the output stream is read, these global variables are assigned new values. To avoid overwriting these variables in case they contain values, their contents is saved before reading the output stream and restored afterwards.

3.5 Diagnostic Output

While the standalone program is running it can be asked to display progress information. This is done by setting the info class InfoNQ to \(1\) via the function SetInfoLevel (Reference: InfoLevel).

gap> NilpotentQuotient(FreeGroup(2),5);
Pcp-group with orders [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
gap> SetInfoLevel( InfoNQ, 1 );
gap> NilpotentQuotient(FreeGroup(2),5);
#I  Class 1: 2 generators with relative orders  0 0
#I  Class 2: 1 generators with relative orders: 0
#I  Class 3: 2 generators with relative orders: 0 0
#I  Class 4: 3 generators with relative orders: 0 0 0
#I  Class 5: 6 generators with relative orders: 0 0 0 0 0 0
Pcp-group with orders [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
gap> SetInfoLevel( InfoNQ, 0 );
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nq-2.5.4/doc/chapInd.txt0000664000371700037170000000236613441553627016247 0ustar gap-jenkinsgap-jenkins Index class 2.2 commutator 2.1 commutator relation 2.3 consistent 2.3 EvaluateExpTree 3.2-2 expression trees 2.6 ExpressionTrees 3.2-1 3.2-1 identical generator 2.5 identical relation 2.5 law 2.5 left Engel element 2.5 left-normed commutator 2.1 License .-1 lower central series 2.1 LowerCentralFactors 3.1-4 nilpotency class 2.2 nilpotent 2.2 nilpotent presentation 2.3 Nilpotent Quotient Package 3. NilpotentEngelQuotient 3.1-2 3.1-2 NilpotentQuotient 3.1-1 3.1-1 nq .-3 NqDefaultOptions 3.4-2 NqElementaryDivisors 3.3-4 NqEpimorphismNilpotentQuotient 3.1-3 NqGlobalVariables 3.4-3 NqReadOutput 3.3-1 NqRuntime 3.4-1 NqStringExpTrees 3.3-3 NqStringFpGroup 3.3-2 options 3.1-1 class 3.1-1 group 3.1-1 idgens 3.1-1 input\_file 3.1-1 input\_string 3.1-1 ouput\_file 3.1-1 polycyclic 2.2 polycyclic generating sequence 2.2 polycyclic presentation 2.3 power relation 2.3 right Engel element 2.5 ------------------------------------------------------- nq-2.5.4/doc/chap4.html0000664000371700037170000002146113441553627016022 0ustar gap-jenkinsgap-jenkins GAP (nq) - Chapter 4: Examples
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4 Examples

4.1 Right Engel elements

An old problem in the context of Engel elements is the question: Is a right n-Engel element left n-Engel? It is known that the answer is no. For details about the history of the problem, see [NN94]. In this paper the authors show that for n>4 there are nilpotent groups with right n-Engel elements no power of which is a left n-Engel element. The insight was based on computations with the ANU NQ which we reproduce here. We also show the cases 5>n.

gap> LoadPackage( "nq" );
true
gap> ##  SetInfoLevel( InfoNQ, 1 );
gap> ##
gap> ##  setup calculation
gap> ##
gap> et := ExpressionTrees( "a", "b", "x" );
[ a, b, x ]
gap> a := et[1];; b := et[2];; x := et[3];;
gap> 
gap> ##
gap> ##  define the group for n = 2,3,4,5
gap> ##
gap> 
gap> rengel := LeftNormedComm( [a,x,x] );
Comm( a, x, x )
gap> G := rec( generators := et, relations := [rengel] );
rec( generators := [ a, b, x ], relations := [ Comm( a, x, x ) ] )
gap> ## The following is equivalent to:
gap> ##   NilpotentQuotient( : input_string := NqStringExpTrees( G, [x] ) )
gap> H := NilpotentQuotient( G, [x] );
Pcp-group with orders [ 0, 0, 0 ]
gap> LeftNormedComm( [ H.2,H.1,H.1 ] );
id
gap> LeftNormedComm( [ H.1,H.2,H.2 ] );
id

This shows that each right 2-Engel element in a finitely generated nilpotent group is a left 2-Engel element. Note that the group above is the largest nilpotent group generated by two elements, one of which is right 2-Engel. Every nilpotent group generated by an arbitrary element and a right 2-Engel element is a homomorphic image of the group H.

gap> rengel := LeftNormedComm( [a,x,x,x] );
Comm( a, x, x, x )
gap> G := rec( generators := et, relations := [rengel] );
rec( generators := [ a, b, x ], relations := [ Comm( a, x, x, x ) ] )
gap> H := NilpotentQuotient( G, [x] );
Pcp-group with orders [ 0, 0, 0, 0, 0, 4, 2, 2 ]
gap> LeftNormedComm( [ H.1,H.2,H.2,H.2 ] );
id
gap> h := LeftNormedComm( [ H.2,H.1,H.1,H.1 ] );
g6^2*g7*g8
gap> Order( h );
4

The element h has order 4. In a nilpotent group without 2-torsion a right 3-Engel element is left 3-Engel.

gap> rengel := LeftNormedComm( [a,x,x,x,x] );
Comm( a, x, x, x, x )
gap> G := rec( generators := et, relations := [rengel] );
rec( generators := [ a, b, x ], relations := [ Comm( a, x, x, x, x ) ] )
gap> H := NilpotentQuotient( G, [x] );
Pcp-group with orders [ 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 12, 0, 5, 10, 2, 0, 30, 
  5, 2, 5, 5, 5, 5 ]
gap> LeftNormedComm( [ H.1,H.2,H.2,H.2,H.2 ] );
id
gap> h := LeftNormedComm( [ H.2,H.1,H.1,H.1,H.1 ] );
g9*g10^2*g11^10*g12^5*g13^2*g14^8*g15*g16^6*g17^10*g18*g20^4*g21^4*g22^2*g23^2
gap> Order( h );
60

The previous calculation shows that in a nilpotent group without 2,3,5-torsion a right 4-Engel element is left 4-Engel.

gap> rengel := LeftNormedComm( [a,x,x,x,x,x] );
Comm( a, x, x, x, x, x )
gap> G := rec( generators := et, relations := [rengel] );
rec( generators := [ a, b, x ], relations := [ Comm( a, x, x, x, x, x ) ] )
gap> H := NilpotentQuotient( G, [x], 9 );
Pcp-group with orders [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 30, 
  0, 0, 30, 0, 3, 6, 0, 0, 10, 30, 0, 0, 0, 0, 30, 30, 0, 0, 3, 6, 5, 2, 0, 
  2, 408, 2, 0, 0, 0, 10, 10, 30, 10, 0, 0, 0, 3, 3, 3, 2, 204, 6, 6, 0, 10, 
  10, 10, 2, 2, 2, 0, 300, 0, 0, 18 ]
gap> LeftNormedComm( [ H.1,H.2,H.2,H.2,H.2,H.2 ] );
id
gap> h := LeftNormedComm( [ H.2,H.1,H.1,H.1,H.1,H.1 ] );;
gap> Order( h );
infinity

Finally, we see that in a torsion-free group a right 5-Engel element need not be a left 5-Engel element.

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nq-2.5.4/doc/nocolorprompt.css0000664000371700037170000000031313441553627017555 0ustar gap-jenkinsgap-jenkins /* colors for ColorPrompt like examples */ span.GAPprompt { color: #000000; font-weight: normal; } span.GAPbrkprompt { color: #000000; font-weight: normal; } span.GAPinput { color: #000000; } nq-2.5.4/doc/lefttoc.css0000664000371700037170000000047413441553627016310 0ustar gap-jenkinsgap-jenkins/* leftmenu.css Frank Lübeck */ /* Change default CSS to show section menu on left side */ body { padding-left: 28%; } body.chap0 { padding-left: 2%; } div.ChapSects div.ContSect:hover div.ContSSBlock { left: 15%; } div.ChapSects { left: 1%; width: 25%; } nq-2.5.4/doc/intro.xml0000664000371700037170000000367413441553627016020 0ustar gap-jenkinsgap-jenkins Introduction This package provides an interface between &GAP; 4 and the Australian National University Nilpotent Quotient Program (ANU NQ). The ANU NQ was implemented as part of the author's work towards his PhD at the Australian National University, hence the name of the program. The program takes as input a finite presentation of a group and successively computes factor groups modulo the terms of the lower central series of the group. These factor groups are computed in terms of polycyclic presentations.

The ANU NQ is implemented in the programming language C. The implementation has been developed in a Unix environment and Unix is currently the only operating system supported. It runs on a number of different Unix versions, e.g. Solaris and Linux.

For integer matrix computations it relies on the GNU MP package and requires this package to be installed on your system.

This package relies on the functionality for polycyclic groups provided by the &GAP; package polycyclic and requires the package polycyclic to be installed as a &GAP; package on your computer system.

Comments, bug reports and suggestions are very welcome, please submit them via our https://github.com/gap-system/nq/issues.

This manual contains references to parts of the &GAP; Reference Manual which are typeset in a slightly idiosyncratic way. The following example shows how such references are printed: 'For further information on creating a free group see .' The text in bold face refers to the &GAP; Reference Manual.

Each item in the list of references at the end of this manual is followed by a list of numbers that specify the pages of the manual where the reference occurs. nq-2.5.4/doc/cli.xml0000664000371700037170000002576213441553627015436 0ustar gap-jenkinsgap-jenkins The nq command line interface

How to use the ANU NQ If you start the ANU NQ by typing nq -X you will get the following message: unknown option: -X usage: nq [-a] [-M] [-d] [-g] [-v] [-s] [-f] [-c] [-m] [-t <n>] [-l <n>] [-r <n>] [-n <n>] [-e <n>] [-y] [-o] [-p] [-E] [<presentation>] [<class>] All parameters in square brackets are optional. The parameter <presentation> has to be the name of a file that contains a finite group presentation for which a nilpotent quotient is to be calculated. This file name must not start with a digit. If it is not present, nq will read the presentation from standard input. The parameter <class> restricts the computation of the nilpotent quotient to at most that (nilpotency) class, i.e. the program calculates the quotient group of the (c+1)-th term of the lower central series. If <class> is omitted, the program computes successively the factor groups of the lower central series of the given group. If there is a largest nilpotent quotient, i.e., if the lower central series becomes constant, the program will eventually terminate with the largest nilpotent quotient. If there is no largest nilpotent quotient, the program will run forever (or more precisely will run out of resources). On termination the program prints a nilpotent presentation for the nilpotent quotient it has computed. The options -l, -r and -e can be used to enforce Engel conditions on the nilpotent quotient to be calculated. All these options have to be followed by a positive integer <n>. Their meaning is the following: -n <k> This option forces the first k generators to be left or right Engel element if also the option -l or -r (or both) is present. Otherwise it is ignored. -l <n> This forces the first k generators g_1,...,g_k of the nilpotent quotient Q to be left n-Engel elements, i.e., they satisfy [x,...,x,g_i] = 1 (x occurring n-times) for all x in Q and 1 <= i <= k. If the option -n is not used, then k = 1. -r <n> This forces the first k generators g_1,...,g_k of the nilpotent quotient Q to be right n-Engel elements,i.e., they satisfy [g_i,x,..,x] = 1 (x occurring n-times) for all x in Q and 1 <= i <= k. If the option -n is not used, then k = 1. -e <n> This enforces the n-th Engel law on Q, i.e., [x,y,..,y] = 1 (y occurring n-times) for all x,y in Q. -t <n> This option specifies how much CPU time the program is allowed to use. It will terminate after <n> seconds of CPU time. If <n> is followed (without space) by one of the letters m, h or d, <n> specifies the time in minutes, hours or days, respectively. The other options have the following meaning. Care has to be taken when the options -s or -c are used since the resulting nilpotent quotient need NOT satisfy the required Engel condition. The reason for this is that a smaller set of test words is used if one of these two options are present. Although this smaller set of test words seems to be sufficient to enforce the required Engel condition, this fact has not been proven. -a For each factor of the lower central series a file is created in the current directory that contains an integer matrix describing the factor as abelian group. The first number in that file is the number of columns of the matrix. Then the matrix follows in row major order. The matrix for the i-th factor is put into the file <presentation>.abinv.<i>. -p toggles printing of the pc presentation for the nilpotent quotient at the end of a calculation. -s This option causes the program to check only semigroup words in the generating set of the nilpotent quotient when an Engel condition is enforced. If none of the options -l, -r or -e are present, it is ignored. -f This option causes to check semiwords in the generating set of the nilpotent quotient first and then all other words that need to be checked. It is ignored if the option -s is used or none of the options -l, -r or -e are present. -c This option stops checking the Engel law at each class if all the checks of a certain weight did not yield any non-trivial instances of the law. -d Switch on debug mode and perform checks during the computation. Not yet implemented. -o In checking Engel identities, instances are process in the order of increased weight. This flag reverses the order. -y Enforce the identities x^8 and [ [x1,x2,x3], [x4,x5,x6] ] on the nilpotent quotient. -v Switch on verbose mode. -g Produce GAP output. Presently the GAP output consists only of a sequence of integer matrices whose rows are relations of the factors of the lower central series as abelian groups. This will change as soon as GAP can handle infinite polycyclic groups. -E the *last* n generators are Engel generators. This works in conjunction with option -n. -m output the relation matrix for each factor of the lower central series. The matrices are written to files with the names 'matrix.<cl>' where <cl> is replaced by the number of the factor in the lower central series. Each file contains first the number of columns of the matrix and then the rows of the matrix. The matrix is written as each relation is produced and is not in upper triangular form. -M output the relation matrix before and after relations have been enforced. This results in two groups of files with names '<pres>.nilp.<cl>' and '<pres>.mult.<cl>' where <pres> is the name of the input files and <cl> is the class. The matrices are in upper triangular form.
The input format for presentations The input format for finite presentations resembles the way many people write down a presentation on paper. Here are some examples of presentations that the ANU NQ accepts: # free group of rank 2 < a, b, c | [a,b,c], # a left normed commutator [b,c,c,c]^6, # another one raised to a power a^2 = c^-3*a^2*c^3, # a relation a^(b*c) = a, # a conjugate relation (a*[b,(a*c)])^6 # something that looks complicated > ]]> A presentation starts with '<' followed be a list of generators separated by commas. Generator names are strings that contain only upper and lower case letters, digits, dots and underscores and that do not start with a digit. The list of generator names is separated from the list of relators/relations by the symbol '|'. Relators and relations are separated by commas and can be mixed arbitrarily. Parentheses can be used in order to group subexpressions together. Square brackets can be used in order to form left normed commutators. The symbols '*' and '^' can be used to form products and powers, respectively. The presentation finishes with the symbol '>'. A comment starts with the symbol '#' and finishes at the end of the line. The file src/presentation.c contains a complete grammar for the presentations accepted by the ANU NQ.
An example Let G be the free group on two generators x and y. The input file (called free2.fp here) contains the following: ]]> Computing the class 3 quotient with the ANU NQ by typing produces the following output: A # y |---> B # The nilpotent quotient : # Class : 3 # Nr of generators of each class : 2 1 2 # The definitions: # C := [ B, A ] # D := [ B, A, A ] # E := [ B, A, B ] # total runtime : 1 msec # total size : 0 byte ## Total time spent on integer matrices: 0 ]]> Most of the comments are fairly self-explanatory. One note of caution is necessary: The number of generators for each factor of the lower central series is not the minimal number possible but is the number of generators that the ANU NQ chose to use. This will be improved in one of the future version of the program. The epimorphism from the original group onto the nilpotent quotient is printed in a somewhat confusing way. The generators on the left hand side of the arrows correspond to the generators in the original presentation but are printed with different names. This will be fixed in one of the next version.
Some remarks about the algorithm The implementation of the algorithm is fairly straight forward. The program uses a weighted nilpotent presentation with definitions to represent a nilpotent group. Calculations in the nilpotent group are done using a collector from the left without combinatorial collection. Generators for the c-th lower central factor are defined as commutators of the form [y,x], where x is a generator of weight 1 and y is a generator of weight c-1. Then the program calculates the necessary changes (tails) for all relations which are not definitions, runs through the consistency check and evaluates the original relations on the polycyclic presentation. This gives a list of words, which have to be made trivial in order to obtain a consistent polycyclic presentation representing a nilpotent quotient of the given finitely presented group. This list is converted into a integer matrix, which is transformed into upper triangular form using the Kannan-Bachem algorithm. The GNU multiple precision package is used for this.
nq-2.5.4/doc/chap2_mj.html0000664000371700037170000007551413441553627016516 0ustar gap-jenkinsgap-jenkins GAP (nq) - Chapter 2: General remarks
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2 General remarks

In this chapter we define notation used throughout this manual and recollect basic facts about nilpotent groups. We also provide some background information about the functionality implemented in this package.

2.1 Commutators and the Lower Central Series

The commutator of two elements \(h_1\) and \(h_2\) of a group \(G\) is the element \(h_1^{-1}h_2^{-1}h_1h_2\) and is denoted by \([h_1,h_2]\). It satisfies the equation \(h_1h_2 = h_2h_1[h_1,h_2]\) and can be interpreted as the correction term that has to be introduced into a word if two elements of a group are interchanged. Iterated commutators are written in left-normed fashion: \([h_1,h_2,\ldots,h_{n-1},h_n]=[[h_1,h_2,\ldots,h_{n-1}],h_n]\).

The lower central series of \(G\) is defined inductively as \(\gamma_1(G) = G, \gamma_i(G) = [\gamma_{i-1}(G),G]\) for \(i \ge 2\). Each term in the lower central series is a normal (even fully invariant) subgroup of \(G\). The factors of the lower central series are abelian groups. On each factor the induced action of \(G\) via conjugation is the trivial action.

The factor \(\gamma_k(G)/\gamma_{k+1}(G)\) is generated by the elements \([g,h]\gamma_{k+1}(G),\) where \(g\) runs through a set of (representatives of) generators for \(G/\gamma_2(G)\) and \(h\) runs through a set of (representatives of) generators for \(\gamma_{k-1}(G)/\gamma_k(G).\) Therefore, each factor of the lower central series is finitely generated if \(G\) is finitely generated.

If one factor of the lower central series is finite, then all subsequent factors are finite. Then the exponent of the \(k+1\)-th factor is a divisor of the exponent of the \(k\)-th factor of the lower central series. In particular, the exponents of all factors of the lower central series are bounded by the exponent of the first finite factor of the lower central series.

2.2 Nilpotent groups

A group \(G\) is called nilpotent if there is a positive integer \(c\) such that all \((c+1)\)-fold commutators are trivial in \(G.\) The smallest integer with this property is called the nilpotency class of \(G\). In terms of the lower central series a group \(G \not= 1\) has nilpotency class \(c\) if and only if \(\gamma_{c}(G) \not= 1\) and \(\gamma_{c+1}(G) = 1\).

Examples of nilpotent groups are finite \(p\)-groups, the group of unitriangular matrices over a ring with one and the factor groups of a free group modulo the terms of its lower central series.

Finiteness of a nilpotent group can be decided by the group's commutator factor group. A nilpotent group is finite if and only if its commutator factor group is finite. A group whose commutator factor group is finite can only have finite nilpotent quotient groups.

By refining the lower central series of a finitely generated nilpotent group one can obtain a (sub)normal series \(G_1>G_2>...>G_{k+1}=1\) with cyclic (central) factors. Therefore, every finitely generated nilpotent group is polycyclic. Such a polycyclic series gives rise to a polycyclic generating sequence by choosing a generator \(a_i\) for each cyclic factor \(G_i/G_{i+1}\). Let \(I\) be the set of indices such that \(G_i/G_{i+1}\) is finite. A simple induction argument shows that every element of the group can be written uniquely as a normal word \(a_1^{e_1}\ldots a_n^{e_n}\) with integers \(e_i\) and \(0\leq e_i<m_i\) for \(i\in I\).

2.3 Nilpotent presentations

From a polycyclic generating sequence one can obtain a polycyclic presentation for the group. The following set of power and commutator relations is a defining set of relations. The power relations express \(a_i^{m_i}\) in terms of the generators \(a_{i+1},\ldots,a_n\) whenever \(G_i/G_{i+1}\) is finite with order \(m_i\). The commutator relations are obtained by expressing \([a_j,a_i]\) for \(j>i\) as a word in the generators \(a_{i+1},\ldots,a_n\). If the polycyclic series is obtained from refining the lower central series, then \([a_j,a_i]\) is even a word in \(a_{j+1},\ldots,a_n\). In this case we obtain a nilpotent presentation.

To be more precise, a nilpotent presentation is given on a finite number of generators \(a_1,\ldots,a_n\). Let \(I\) be the set of indices such that \(G_i/G_{i+1}\) is finite. Let \(m_i\) be the order of \(G_i/G_{i+1}\) for \(i\in I\). Then a nilpotent presentation has the form

\[ \langle a,\ldots,a_n | a_i^{m_i} = w_{ii}(a_{i+1},\ldots,a_n) \mbox{ for } i\in I;\; [a_j,a_i] = w_{ij}(a_{j+1},\ldots,a_n) \mbox{ for } 1\leq i < j\leq n\rangle \]

Here, \(w_{ij}(a_k,\ldots,a_n)\) denotes a group word in the generators \(a_k,\ldots,a_n\).

In a group given by a polycyclic presentation each element in the group can be written as a normal word \(a_1^{e_1}\ldots a_n^{e_n}\) with \(e_i \in \mathbb{Z}\) and \(0 \leq e_i < m_i\) for \(i \in I\). A procedure called collection can be used to convert an arbitrary word in the generators into an equivalent normal word. In general, the resulting normal word need not be unique. The result of collecting a word may depend on the steps chosen during the collection procedure. A polycyclic presentation with the property that two different normal words are never equivalent is called consistent. A polycyclic presentation derived from a polycyclic series as above is consistent. The following example shows an inconsistent polycyclic presentation

\[\langle a,b\mid a^2, b^a = b^2 \rangle \]

as \(b = baa = ab^2a = a^2b^4 = b^4\) which implies \(b^3=1\). Here we have the equivalent normal words \(b^3\) and the empty word. It can be proved that consistency can be checked by collecting a finite number of words in the given generating set in two essentially different ways and checking if the resulting normal forms are the same in both cases. See Chapter 9 of the book [Sim94] for an introduction to polycyclic groups and polycyclic presentations.

For computations in a polycyclic group one chooses a consistent polycyclic presentation as it offers a simple solution to the word problem: Equality between two words is decided by collecting both words to their respective normal forms and comparing the normal forms. Nilpotent groups and nilpotent presentations are special cases of polycyclic groups and polycyclic presentations. Nilpotent presentations allow specially efficient collection methods. The package Polycyclic provides algorithms to compute with polycyclic groups given by a polycyclic presentation.

However, inconsistent nilpotent presentations arise naturally in the nilpotent quotient algorithm. There is an algorithm based on the test words for consistency mentioned above to modify the arising inconsistent presentations suitably to obtain a consistent one for the same group.

2.4 A sketch of the algorithm

The input for the ANU NQ in its simplest form is a finite presentation \(\langle X|R\rangle\) for a group \(G\). The first step of the algorithm determines a nilpotent presentation for the commutator quotient of \(G\). This is a presentation of the class-\(1\) quotient of \(G\). Call its generators \(a_1,...,a_d\). It also determines a homomorphism of \(G\) onto the commutator quotient and describes it by specifying the image of each generator in \(X\) as a word in the \(a_i\).

For the general step assume that the algorithm has computed a nilpotent presentation for the class-\(c\) quotient of \(G\) and that \(a_1,...,a_d\) are the generators introduced in the first step of the algorithm. Furthermore, there is a map from X into the class-\(c\) quotient describing the epimorphism from \(G\) onto \(G/\gamma_{c+1}(G)\).

Let \(b_1,...b_k\) be the generators from the last step of the algorithm, the computation of \(\gamma_c(G)/\gamma_{c+1}(G)\). This means that \(b_1,...b_k\) generate \(\gamma_c(G)/\gamma_{c+1}(G)\). Then the commutators \([b_j,a_i]\) generate \(\gamma_{c+1}(G)/\gamma_{c+2}(G)\). The algorithm introduces new, central generators \(c_{ij}\) into the presentation, adds the relations \([b_j,a_i] = c_{ij}\) and modifies the existing relations by appending suitable words in the \(c_{ij}\), called tails, to the right hand sides of the power and commutator relations. The resulting presentation is a nilpotent presentation for the nilpotent cover of \(G/\gamma_{c+1}(G)\). The nilpotent cover is the largest central extension of \(G/\gamma_{c+1}(G)\) generated by \(d\) elements. It is is uniquely determined up to isomorphism.

The resulting presentation of the nilpotent cover is in general inconsistent. Consistency is achieved by running the consistency test. This results in relations among the generators \(c_{ij}\) which can be used to eliminate some of those generators or introduce power relations. After this has been done we have a consistent nilpotent presentation for the nilpotent cover of \(G/\gamma_{c+1}(G)\).

Furthermore, the nilpotent cover need not satisfy the relations of \(G\). In other words, the epimorphism from \(G\) onto \(G/\gamma_{c+1}(G)\) cannot be lifted to an epimorphism onto the nilpotent cover. Applying the epimorphism to each relator of \(G\) and collecting the resulting words of the nilpotent cover yields a set of words in the \(c_{ij}\). This gives further relations between the \(c_{ij}\) which leads to further eliminations or modifications of the power relations for the \(c_{ij}\).

After this, the inductive step of the ANU NQ is complete and a consistent nilpotent presentation for \(G/\gamma_{c+2}(G)\) is obtained together with an epimorphism from \(G\) onto the class-\((c+1)\) quotient.

Chapter 11 of the book [Sim94] discusses a nilpotent quotient algorithm. A description of the implementation in the ANU NQ is contained in [Nic96]

2.5 Identical Relations

Let \(w\) be a word in free generators \(x_1,\ldots,x_n\). A group \(G\) satisfies the relation \(w=1\) identically if each map from \(x_1,\ldots,x_n\) into \(G\) maps \(w\) to the identity element of \(G\). We also say that \(G\) satisfies the identical relation \(w=1\) or satisfies the law \(w=1\). In slight abuse of notation, we call the elements \(x_1,\ldots,x_n\) identical generators.

Common examples of identical relations are: A group of nilpotency class at most \(c\) satisfies the law \([x_1,\ldots,x_{c+1}]=1\). A group that satisfies the law \([x,y,\ldots,y]=1\) where \(y\) occurs \(n\)-times, is called an \(n\)-Engel group. A group that satisfies the law \(x^d=1\) is a group of exponent \(d\).

To describe finitely presented groups that satisfy one or more laws, we extend a common notation for finitely presented groups by specifying the identical generators as part of the generator list, separated from the group generators by a semicolon: For example

\[ \langle a,b,c; x,y | x^5, [x,y,y,y]\rangle \]

is a group on 3 generators \(a,b,c\) of exponent \(5\) satisfying the 3rd Engel law. The presentation above is equivalent to a presentation on 3 generators with an infinite set of relators, where the set of relators consists of all fifth powers of words in the generators and all commutators \([x,y,y,y]\) where \(x\) and \(y\) run through all words in the generators \(a,b,c\). The standalone programme accepts the notation introduced above as a description of its input. In GAP 4 finitely presented groups are specified in a different way, see NilpotentQuotient (3.1-1) for a description.

This notation can also be used in words that mix group and identical generators as in the following example:

\[ \langle a,b,c; x | [x,c], [a,x,x,x] \rangle \]

The first relator specifies a law which says that \(c\) commutes with all elements of the group. The second turns \(a\) into a third right Engel element.

An element \(a\) is called a right \(n\)-th Engel element or a right \(n\)-Engel element if it satisfies the commutator law \([a,x,...,x]=1\) where the identical generator \(x\) occurs \(n\)-times. Likewise, an element \(b\) is called an left \(n\)-th Engel element or left \(n\)-Engel element if it satisfies the commutator law \([x,b,b,...b]=1\).

Let \(G\) be a nilpotent group. Then \(G\) satisfies a given law if the law is satisfied by a certain finite set of instances given by Higman's Lemma, see [Hig59]. The ANU NQ uses Higman's Lemma to obtain a finite presentation for groups that satisfy one or several identical relations.

2.6 Expression Trees

Expressions involving commutators play an important role in the context of nilpotent groups. Expanding an iterated commutator produces a complicated and long expression. For example,

\[ [x,y,z] = y^{-1}x^{-1}yxz^{-1}x^{-1}y^{-1}xyz. \]

Evaluating a commutator \([a,b]\) is done efficiently by computing the equation \((ba)^{-1}ab\). Therefore, for each commutator we need to perform two multiplications and one inversion. Evaluating \([x,y,z]\) needs four multiplications and two inversions. Evaluation of an iterated commutator with \(n\) components takes \(2n-1\) multiplications and \(n-1\) inversions. The expression on the right hand side above needs \(9\) multiplications and \(5\) inversions which is clearly much more expensive than evaluating the commutator directly.

Assuming that no cancellations occur, expanding an iterated commutator with n components produces a word with \(2^{n+1}-2^{n-1}-2\) factors half of which are inverses. A similar effect occurs whenever a compact expression is expanded into a word in generators and inverses, for example \((ab)^{49}\).

Therefore, it is important not to expand expressions into a word in generators and inverses. For this purpose we provide a mechanism which we call here expression trees. An expression tree preserves the structure of a given expression. It is a (binary) tree in which each node is assigned an operation and whose leaves are generators of a free group or integers. For example, the expression \([(xy)^2, z]\) is stored as a tree whose top node is a commutator node. The right subtree is just a generator node (corresponding to \(z\)). The left subtree is a power node whose subtrees are a product node on the left and an integer node on the right. An expression tree can involve products, powers, conjugates and commutators. However, the list of available operations can be extended.

Evaluation of an expression tree is done recursively and requires as many operations as there are nodes in the tree. An expression tree can be evaluated in a specific group by the function EvaluateExpTree (3.2-2).

A presentation specified by expression trees is a record with the components .generators and .relations. See section 3.2 for a description of the functions that produce and manipulate expression trees.

gap> LoadPackage( "nq" );
true
gap> gens := ExpressionTrees( 2 );
[ x1, x2 ]
gap> r1 := LeftNormedComm( [gens[1],gens[2],gens[2]] );
Comm( x1, x2, x2 )
gap> r2 := LeftNormedComm( [gens[1],gens[2],gens[2],gens[1]] );
Comm( x1, x2, x2, x1 )
gap> pres := rec( generators := gens, relations := [r1,r2] );
rec( generators := [ x1, x2 ], 
relations := [ Comm( x1, x2, x2 ), Comm( x1, x2, x2, x1 ) ] )

2.7 A word about the implementation

The ANU NQ is written in C, but not in ANSI C. I hope to make one of the next versions ANSI compliable. However, it uses a fairly restricted subset of the language so that it should be easy to compile it in new environments. The code is 64-bit clean. If you have difficulties with porting it to a new environment, let me know and I'll be happy to assist if time permits.

The program has two collectors: a simple collector from the left as described in [LGS90] and a combinatorial from the left collector as described in [VL90]. The combinatorial collector is always faster than the simple collector, therefore, it is the collector used by this package by default. This can be changed by modifying the global variable NqDefaultOptions (3.4-2).

In a polycyclic group with generators that do not have power relations, exponents may become arbitrarily large. Experience shows that this happens rarely in the computations done by the ANU NQ. Exponents are represented by 32-bit integers. The collectors perform an overflow check and abort the computation if an overflow occurred. In a GNU environment the program can be compiled using the `long long' 64-bit integer type. For this uncomment the relevant line in src/Makefile and recompile the program.

As part of the step that enforces consistency and the relations of the group, the ANU NQ performs computations with integer matrices and converts them to Hermite Normal Form. The algorithm used here is a variation of the Kanan-Bachem algorithm based on the GNU multiple precision package GNU MP [GMP]. Experience shows that the integer matrices are usually fairly sparse and Kanan-Bachem seems to be sufficient in this context. However, the implementation might benefit from a more efficient strategy for computing Hermite Normal Forms. This is a topic for further investigations.

As the program does not compute the Smith Normal Form for each factor of the lower central series but the Hermite Normal Form, it does not necessarily obtain a minimal generating set for each factor of the lower central series. The following is a simple example of this behaviour. We take the presentation

\[ \langle x, y | x^2 = y \rangle \]

The group is clearly isomorphic to the additive group of the integers. Applying the ANU NQ to this presentation gives the following nilpotent presentation:

\[ \langle A,B | A^2 = B, [B,A] \rangle \]

A nilpotent presentation on a minimal generating set would be the presentation of the free group on one generator:

\[ \langle A | \; \rangle \]

2.8 The input format of the standalone

The input format for finite presentations resembles the way many people write down a presentation on paper. Here are some examples of presentations that the ANU NQ accepts:



    < a, b | >                       # free group of rank 2

    < a, b, c; x, y | 
                [a,b,c],             # a left normed commutator
                [b,c,c,c]^6,         # another one raised to a power
                a^2 = c^-3*a^2*c^3,  # a relation
                a^(b*c) = a,         # a conjugate relation
                (a*[b,(a*c)])^6,     # something that looks complicated
                [x,y,y,y,y],         # an identical relation
                [c,x,x,x,x,x]        # c is a fifth right Engel element
    >


A presentation starts with '<' followed by a list of generators separated by commas. Generator names are strings that contain only upper and lower case letters, digits, dots and underscores and that do not start with a digit. The list of generator names is separated from the list of relators/relations by the symbol '\(\mid\)'. The list of generators can be followed by a list of identical generators separated by a semicolon. Relators and relations are separated by commas and can be mixed arbitrarily. Parentheses can be used in order to group subexpressions together. Square brackets can be used in order to form left normed commutators. The symbols '*' and '^' can be used to form products and powers, respectively. The presentation finishes with the symbol '>'. A comment starts with the symbol '#' and finishes at the end of the line. The file src/presentation.c contains a complete grammar for the presentations accepted by the ANU NQ.

Typically, the input for the standalone is put into a file by using a standard text editor. The file can be passed as an argument to the function NilpotentQuotient (3.1-1). It is also possible to put a presentation in the standalone's input format into a string and use the string as argument for NilpotentQuotient (3.1-1).

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nq-2.5.4/doc/chap5.html0000664000371700037170000001673113441553627016027 0ustar gap-jenkinsgap-jenkins GAP (nq) - Chapter 5: Installation of the Package
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5 Installation of the Package

Installation of the ANU NQ is done in two steps.

5.1 Configuring for compilation

First the configure script is run:

 ./configure  

If you installed the package in another "pkg" directory than the standard "pkg" directory in your GAP 4 installation, then you have to do two things. Firstly during compilation you have to use the option --with-gaproot=PATH of the configure script where "PATH" is a path to the main GAP root directory (if not given the default "../.." is assumed). That is, run

 ./configure --with-gaproot=PATH 

Secondly you have to specify the path to the directory containing your "pkg" directory to GAP's list of directories. This can be done by starting GAP with the "-l" command line option followed by the name of the directory and a semicolon. Then your directory is prepended to the list of directories searched. Otherwise the package is not found by GAP. Of course, you can add this option to your GAP startup script.

Another issue that can occur when running configure is that it may fail to locate the the GNU multiple precision library (GMP [GMP]) which ANU NQ requires to work. This library is also used by GAP and hence normally should be available on your system anyway. But if this is not the case for some reason, it has to be installed first. A copy of GMP can be obtained from http://gmplib.org/.

In order for the configure script to find your copy of GMP, you may have tell it where to find it via --with-gmp=PATH, where "PATH" is the path where GMP was installed:

 ./configure --with-gmp=PATH 

Yf necessary, you may combine --with-gmp and --with-gaproot.

5.2 Compiling the nq binary

If configure reports no problems, the next step is to start the compilation:

 make 

A compiled version of the program named nq is then placed into the directory bin/<complicated name>. The <complicated name> component encodes the operating system and the compiler used. This allows you to compile NQ on several architectures sharing the same files system.

If there are any warnings or even fatal error messages during the compilation process, please submit a bug report about that following the instructions in Section 5.4

5.3 Testing

After the compilation is finished you can check if the ANU NQ is running properly on your system. Simply type

 make test 

This runs some computations and compares their output with the output files in the directory examples. If any errors are reported, please follow the instructions below.

5.4 Feedback

If you encounter problems with any of the above steps, please do not hesitate to contact us about this. You can either use the nq issue tracker or contact the GAP support group via support@gap-system.org. Please make sure to include information about the specific issue you encountered (e.g. steps to reproduce it, the specific error message), your operating system, the compiler you used and also the versions of GAP and this package that were involved.

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nq-2.5.4/doc/examples.xml0000664000371700037170000000734613441553627016503 0ustar gap-jenkinsgap-jenkins Examples
Right Engel elements An old problem in the context of Engel elements is the question: Is a right n-Engel element left n-Engel? It is known that the answer is no. For details about the history of the problem, see . In this paper the authors show that for n>4 there are nilpotent groups with right n-Engel elements no power of which is a left n-Engel element. The insight was based on computations with the ANU NQ which we reproduce here. We also show the cases 5>n. gap> LoadPackage( "nq" ); true gap> ## SetInfoLevel( InfoNQ, 1 ); gap> ## gap> ## setup calculation gap> ## gap> et := ExpressionTrees( "a", "b", "x" ); [ a, b, x ] gap> a := et[1];; b := et[2];; x := et[3];; gap> gap> ## gap> ## define the group for n = 2,3,4,5 gap> ## gap> gap> rengel := LeftNormedComm( [a,x,x] ); Comm( a, x, x ) gap> G := rec( generators := et, relations := [rengel] ); rec( generators := [ a, b, x ], relations := [ Comm( a, x, x ) ] ) gap> ## The following is equivalent to: gap> ## NilpotentQuotient( : input_string := NqStringExpTrees( G, [x] ) ) gap> H := NilpotentQuotient( G, [x] ); Pcp-group with orders [ 0, 0, 0 ] gap> LeftNormedComm( [ H.2,H.1,H.1 ] ); id gap> LeftNormedComm( [ H.1,H.2,H.2 ] ); id This shows that each right 2-Engel element in a finitely generated nilpotent group is a left 2-Engel element. Note that the group above is the largest nilpotent group generated by two elements, one of which is right 2-Engel. Every nilpotent group generated by an arbitrary element and a right 2-Engel element is a homomorphic image of the group H. gap> rengel := LeftNormedComm( [a,x,x,x] ); Comm( a, x, x, x ) gap> G := rec( generators := et, relations := [rengel] ); rec( generators := [ a, b, x ], relations := [ Comm( a, x, x, x ) ] ) gap> H := NilpotentQuotient( G, [x] ); Pcp-group with orders [ 0, 0, 0, 0, 0, 4, 2, 2 ] gap> LeftNormedComm( [ H.1,H.2,H.2,H.2 ] ); id gap> h := LeftNormedComm( [ H.2,H.1,H.1,H.1 ] ); g6^2*g7*g8 gap> Order( h ); 4 The element h has order 4. In a nilpotent group without 2-torsion a right 3-Engel element is left 3-Engel. gap> rengel := LeftNormedComm( [a,x,x,x,x] ); Comm( a, x, x, x, x ) gap> G := rec( generators := et, relations := [rengel] ); rec( generators := [ a, b, x ], relations := [ Comm( a, x, x, x, x ) ] ) gap> H := NilpotentQuotient( G, [x] ); Pcp-group with orders [ 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 12, 0, 5, 10, 2, 0, 30, 5, 2, 5, 5, 5, 5 ] gap> LeftNormedComm( [ H.1,H.2,H.2,H.2,H.2 ] ); id gap> h := LeftNormedComm( [ H.2,H.1,H.1,H.1,H.1 ] ); g9*g10^2*g11^10*g12^5*g13^2*g14^8*g15*g16^6*g17^10*g18*g20^4*g21^4*g22^2*g23^2 gap> Order( h ); 60 The previous calculation shows that in a nilpotent group without 2,3,5-torsion a right 4-Engel element is left 4-Engel. gap> rengel := LeftNormedComm( [a,x,x,x,x,x] ); Comm( a, x, x, x, x, x ) gap> G := rec( generators := et, relations := [rengel] ); rec( generators := [ a, b, x ], relations := [ Comm( a, x, x, x, x, x ) ] ) gap> H := NilpotentQuotient( G, [x], 9 ); Pcp-group with orders [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 30, 0, 0, 30, 0, 3, 6, 0, 0, 10, 30, 0, 0, 0, 0, 30, 30, 0, 0, 3, 6, 5, 2, 0, 2, 408, 2, 0, 0, 0, 10, 10, 30, 10, 0, 0, 0, 3, 3, 3, 2, 204, 6, 6, 0, 10, 10, 10, 2, 2, 2, 0, 300, 0, 0, 18 ] gap> LeftNormedComm( [ H.1,H.2,H.2,H.2,H.2,H.2 ] ); id gap> h := LeftNormedComm( [ H.2,H.1,H.1,H.1,H.1,H.1 ] );; gap> Order( h ); infinity Finally, we see that in a torsion-free group a right 5-Engel element need not be a left 5-Engel element.
nq-2.5.4/doc/chapBib.txt0000664000371700037170000000277513441553627016235 0ustar gap-jenkinsgap-jenkins References [EN02] Eick, B. and Nickel, W., Polycyclic, Algorithms for working with polycyclic groups (2002), ((GAP package)), http://www.icm.tu-bs.de/ag_algebra/software/polycyclic/. [GMP] GNU MP, http://gmplib.org/. [Hig59] Higman, G., Some remarks on varieties of groups, Quart. J. Math. Oxford, 2, 10 (1959), 165–178. [LGS90] Leedham-Green, C. R. and Soicher, L. H., Collection from the left and other strategies, J. Symbolic Comput., 9, 5–6 (1990), 665–675. [Nic96] Nickel, W., Computing Nilpotent Quotients of Finitely Presented Groups, in Geometric and Computational Perspectives on Infinite Groups, Dimacs Series in Discrete Mathematics and Theoretical Computer Science, 25 (1996), 175–191. [NN94] Newman, M. F. and Nickel, W., Engel elements in groups, J. Pure Appl. Algebra, 96 (1994), 39–45. [Sim94] Sims, C. C., Computation with Finitely Presented Groups, Cambridge University Press (1994). [VL90] Vaughan-Lee, M. R., Collection from the Left, J. Symbolic Comput., Academic Press, 9 (1990), 725–733.  nq-2.5.4/doc/chapA.html0000664000371700037170000003620513441553627016041 0ustar gap-jenkinsgap-jenkins GAP (nq) - Appendix A: The nq command line interface
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A The nq command line interface

A.1 How to use the ANU NQ

If you start the ANU NQ by typing

     nq -X

you will get the following message:

    unknown option: -X
    usage: nq [-a] [-M] [-d] [-g] [-v] [-s] [-f] [-c] [-m]
              [-t <n>] [-l <n>] [-r <n>] [-n <n>] [-e <n>]
              [-y] [-o] [-p] [-E] [<presentation>] [<class>]

All parameters in square brackets are optional. The parameter <presentation> has to be the name of a file that contains a finite group presentation for which a nilpotent quotient is to be calculated. This file name must not start with a digit. If it is not present, nq will read the presentation from standard input. The parameter <class> restricts the computation of the nilpotent quotient to at most that (nilpotency) class, i.e. the program calculates the quotient group of the (c+1)-th term of the lower central series. If <class> is omitted, the program computes successively the factor groups of the lower central series of the given group. If there is a largest nilpotent quotient, i.e., if the lower central series becomes constant, the program will eventually terminate with the largest nilpotent quotient. If there is no largest nilpotent quotient, the program will run forever (or more precisely will run out of resources). On termination the program prints a nilpotent presentation for the nilpotent quotient it has computed. The options -l, -r and -e can be used to enforce Engel conditions on the nilpotent quotient to be calculated. All these options have to be followed by a positive integer <n>. Their meaning is the following:

-n <k>

This option forces the first k generators to be left or right Engel element if also the option -l or -r (or both) is present. Otherwise it is ignored.

-l <n>

This forces the first k generators g_1,...,g_k of the nilpotent quotient Q to be left n-Engel elements, i.e., they satisfy [x,...,x,g_i] = 1 (x occurring n-times) for all x in Q and 1 <= i <= k. If the option -n is not used, then k = 1.

-r <n>

This forces the first k generators g_1,...,g_k of the nilpotent quotient Q to be right n-Engel elements,i.e., they satisfy [g_i,x,..,x] = 1 (x occurring n-times) for all x in Q and 1 <= i <= k. If the option -n is not used, then k = 1.

-e <n>

This enforces the n-th Engel law on Q, i.e., [x,y,..,y] = 1 (y occurring n-times) for all x,y in Q.

-t <n>

This option specifies how much CPU time the program is allowed to use. It will terminate after <n> seconds of CPU time. If <n> is followed (without space) by one of the letters m, h or d, <n> specifies the time in minutes, hours or days, respectively.

The other options have the following meaning. Care has to be taken when the options -s or -c are used since the resulting nilpotent quotient need NOT satisfy the required Engel condition. The reason for this is that a smaller set of test words is used if one of these two options are present. Although this smaller set of test words seems to be sufficient to enforce the required Engel condition, this fact has not been proven.

-a

For each factor of the lower central series a file is created in the current directory that contains an integer matrix describing the factor as abelian group. The first number in that file is the number of columns of the matrix. Then the matrix follows in row major order. The matrix for the i-th factor is put into the file <presentation>.abinv.<i>.

-p

toggles printing of the pc presentation for the nilpotent quotient at the end of a calculation.

-s

This option causes the program to check only semigroup words in the generating set of the nilpotent quotient when an Engel condition is enforced. If none of the options -l, -r or -e are present, it is ignored.

-f

This option causes to check semiwords in the generating set of the nilpotent quotient first and then all other words that need to be checked. It is ignored if the option -s is used or none of the options -l, -r or -e are present.

-c

This option stops checking the Engel law at each class if all the checks of a certain weight did not yield any non-trivial instances of the law.

-d

Switch on debug mode and perform checks during the computation. Not yet implemented.

-o

In checking Engel identities, instances are process in the order of increased weight. This flag reverses the order.

-y

Enforce the identities x^8 and [ [x1,x2,x3], [x4,x5,x6] ] on the nilpotent quotient.

-v

Switch on verbose mode.

-g

Produce GAP output. Presently the GAP output consists only of a sequence of integer matrices whose rows are relations of the factors of the lower central series as abelian groups. This will change as soon as GAP can handle infinite polycyclic groups.

-E

the *last* n generators are Engel generators. This works in conjunction with option -n.

-m

output the relation matrix for each factor of the lower central series. The matrices are written to files with the names 'matrix.<cl>' where <cl> is replaced by the number of the factor in the lower central series. Each file contains first the number of columns of the matrix and then the rows of the matrix. The matrix is written as each relation is produced and is not in upper triangular form.

-M

output the relation matrix before and after relations have been enforced. This results in two groups of files with names '<pres>.nilp.<cl>' and '<pres>.mult.<cl>' where <pres> is the name of the input files and <cl> is the class. The matrices are in upper triangular form.

A.2 The input format for presentations

The input format for finite presentations resembles the way many people write down a presentation on paper. Here are some examples of presentations that the ANU NQ accepts:



    < a, b | >                       # free group of rank 2

    < a, b, c | [a,b,c],             # a left normed commutator
                [b,c,c,c]^6,         # another one raised to a power
                a^2 = c^-3*a^2*c^3,  # a relation
                a^(b*c) = a,         # a conjugate relation
                (a*[b,(a*c)])^6      # something that looks complicated
    >


A presentation starts with '<' followed be a list of generators separated by commas. Generator names are strings that contain only upper and lower case letters, digits, dots and underscores and that do not start with a digit. The list of generator names is separated from the list of relators/relations by the symbol '|'. Relators and relations are separated by commas and can be mixed arbitrarily. Parentheses can be used in order to group subexpressions together. Square brackets can be used in order to form left normed commutators. The symbols '*' and '^' can be used to form products and powers, respectively. The presentation finishes with the symbol '>'. A comment starts with the symbol '#' and finishes at the end of the line. The file src/presentation.c contains a complete grammar for the presentations accepted by the ANU NQ.

A.3 An example

Let G be the free group on two generators x and y. The input file (called free2.fp here) contains the following:



        < x, y | >


Computing the class 3 quotient with the ANU NQ by typing



        nq free2.fp 3


produces the following output:



#
#    The ANU Nilpotent Quotient Program (Version 2.3)
#    Calculating a nilpotent quotient
#    Input: free2.fp
#    Nilpotency class: 3
#    Program: nq
#    Size of exponents: 8 bytes
#
#    Calculating the abelian quotient ...
#    The abelian quotient has 2 generators
#        with the following exponents: 0 0
#
#    Calculating the class 2 quotient ...
##  Sizes:  2  3
#    Layer 2 of the lower central series has 1 generators
#          with the following exponents: 0
#
#    Calculating the class 3 quotient ...
##  Sizes:  2  3  5
#    Layer 3 of the lower central series has 2 generators
#          with the following exponents: 0 0
#


#    The epimorphism :
#    x |---> A
#    y |---> B


#    The nilpotent quotient :
    <A,B,C,D,E
      |
        B^A           =: B*C,
        B^(A^-1)      =  B*C^-1*D,
        C^A           =: C*D,
        C^(A^-1)      =  C*D^-1,
        C^B           =: C*E,
        C^(B^-1)      =  C*E^-1 >

#    Class : 3
#    Nr of generators of each class : 2 1 2


#    The definitions:
#    C := [ B, A ]
#    D := [ B, A, A ]
#    E := [ B, A, B ]
#    total runtime : 1 msec
#    total size    : 0 byte
##  Total time spent on integer matrices: 0


Most of the comments are fairly self-explanatory. One note of caution is necessary: The number of generators for each factor of the lower central series is not the minimal number possible but is the number of generators that the ANU NQ chose to use. This will be improved in one of the future version of the program. The epimorphism from the original group onto the nilpotent quotient is printed in a somewhat confusing way. The generators on the left hand side of the arrows correspond to the generators in the original presentation but are printed with different names. This will be fixed in one of the next version.

A.4 Some remarks about the algorithm

The implementation of the algorithm is fairly straight forward. The program uses a weighted nilpotent presentation with definitions to represent a nilpotent group. Calculations in the nilpotent group are done using a collector from the left without combinatorial collection. Generators for the c-th lower central factor are defined as commutators of the form [y,x], where x is a generator of weight 1 and y is a generator of weight c-1. Then the program calculates the necessary changes (tails) for all relations which are not definitions, runs through the consistency check and evaluates the original relations on the polycyclic presentation. This gives a list of words, which have to be made trivial in order to obtain a consistent polycyclic presentation representing a nilpotent quotient of the given finitely presented group. This list is converted into a integer matrix, which is transformed into upper triangular form using the Kannan-Bachem algorithm. The GNU multiple precision package is used for this.

Goto Chapter: Top 1 2 3 4 5 A Bib Ind

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nq-2.5.4/doc/nqbib.xml0000664000371700037170000000625313441553627015754 0ustar gap-jenkinsgap-jenkins
G.Higman Some remarks on varieties of groups Quart. J. Math. Oxford 1959 2 10 165–178
C. R.Leedham-Green L. H.Soicher Collection from the left and other strategies J. Symbolic Comput. 1990 9 5–6 665–675
M. F.Newman WernerNickel Engel elements in groups J. Pure Appl. Algebra 1994 96 39–45
WernerNickel Computing Nilpotent Quotients of Finitely Presented Groups Geometric and Computational Perspectives on Infinite Groups 1996 25 Dimacs Series in Discrete Mathematics and Theoretical Computer Science 175–191 C. C.Sims Computation with Finitely Presented Groups Cambridge University Press 1994
M. R.Vaughan-Lee Collection from the Left J. Symbolic Comput. 1990 9 725–733 Academic Press
BettinaEick WernerNickel <Wrap Name="Package">Polycyclic</Wrap>, Algorithms for working with polycyclic groups http://www.icm.tu-bs.de/ag_algebra/software/polycyclic/ 2002 GAP package GNU MP
http://gmplib.org/
GMP
<C>GAP</C> -- <C>G</C>roups, <C>A</C>lgorithms, and <C>P</C>rogramming, Version 4.4.12 The GAP Group
Aachen, St Andrews
2008 http://www.gap-system.org GAP groups; *; gap; manual
nq-2.5.4/doc/nqbib.xml.bib0000664000371700037170000000646613441553627016515 0ustar gap-jenkinsgap-jenkins @article{ Higman59, author = {Higman, G.}, title = {Some remarks on varieties of groups}, journal = {Quart. J. Math. Oxford}, volume = {2}, number = {10}, year = {1959}, pages = {165{\textendash}178}, printedkey = {Hig59} } @article{ LS90, author = {Leedham-Green, C. R. and Soicher, L. H.}, title = {Collection from the left and other strategies}, journal = {J. Symbolic Comput.}, volume = {9}, number = {5{\textendash}6}, year = {1990}, pages = {665{\textendash}675}, printedkey = {LS90} } @article{ NewmanNickel94, author = {Newman, M. F. and Nickel, W.}, title = {Engel elements in groups}, journal = {J. Pure Appl. Algebra}, volume = {96}, year = {1994}, pages = {39{\textendash}45}, printedkey = {NN94} } @inproceedings{ Nickel96, author = {Nickel, W.}, booktitle = {Geometric and Computational Perspectives on Infinite Groups}, title = {Computing Nilpotent Quotients of Finitely Presented Groups}, series = {Dimacs Series in Discrete Mathematics and Theoretical Computer Science}, volume = {25}, year = {1996}, pages = {175{\textendash}191}, printedkey = {Nic96} } @book{ Sims94, author = {Sims, C. C.}, title = {Computation with Finitely Presented Groups}, publisher = {Cambridge University Press}, year = {1994}, printedkey = {Sim94} } @article{ VL90a, author = {Vaughan-Lee, M. R.}, title = {Collection from the Left}, journal = {J. Symbolic Comput.}, publisher = {Academic Press}, volume = {9}, year = {1990}, pages = {725{\textendash}733}, printedkey = {Vau90} } @misc{ polycyclic, author = {Eick, B. and Nickel, W.}, title = {Polycyclic, Algorithms for working with polycyclic groups}, year = {2002}, note = {GAP package}, howpublished = {\href {http://www.icm.tu-bs.de/ag_algebra/software/polycyclic/} {\texttt{http://www.icm.tu-bs.de/}\discretionary {}{}{}\texttt{ag{\textunderscore}algebra/}\discretionary {}{}{}\texttt{software/}\discretionary {}{}{}\texttt{polycyclic/}}}, printedkey = {EN02} } @manual{ GNUMP, title = {GNU MP}, address = {\href {http://gmplib.org/} {\texttt{http://gmplib.org/}}}, key = {GMP} } @manual{ GAP4, title = {{GAP} -- {G}roups, {A}lgorithms, and {P}rogramming, Version 4.4.12}, organization = {The GAP Group}, address = {Aachen, St{\nobreakspace}Andrews}, year = {2008}, note = {\href {http://www.gap-system.org} {\texttt{http://www.gap-system.org}}}, key = {GAP}, keywords = {groups; *; gap; manual} } nq-2.5.4/doc/times.css0000664000371700037170000000026113441553627015763 0ustar gap-jenkinsgap-jenkins/* times.css Frank Lübeck */ /* Change default CSS to use Times font. */ body { font-family: Times,Times New Roman,serif; } nq-2.5.4/doc/toggless.css0000664000371700037170000000167213441553627016500 0ustar gap-jenkinsgap-jenkins/* toggless.css Frank Lübeck */ /* Using javascript we change all div.ContSect to div.ContSectOpen or div.ContSectClosed. This way the config for div.ContSect in manual.css is no longer relevant. Here we add the CSS for the new elements. */ /* This layout is based on an idea by Burkhard Höfling. */ div.ContSectClosed { text-align: left; margin-left: 1em; } div.ContSectOpen { text-align: left; margin-left: 1em; } div.ContSectOpen div.ContSSBlock { display: block; text-align: left; margin-left: 1em; } div.ContSectOpen div.ContSSBlock a { display: block; width: 100%; margin-left: 1em; } span.tocline a:hover { display: inline; background: #eeeeee; } span.ContSS a:hover { display: inline; background: #eeeeee; } span.toctoggle { font-size: 80%; display: inline-block; width: 1.2em; } span.toctoggle:hover { background-color: #aaaaaa; } nq-2.5.4/doc/chap2.txt0000664000371700037170000005661013441553627015677 0ustar gap-jenkinsgap-jenkins 2 General remarks In this chapter we define notation used throughout this manual and recollect basic facts about nilpotent groups. We also provide some background information about the functionality implemented in this package. 2.1 Commutators and the Lower Central Series The commutator of two elements h_1 and h_2 of a group G is the element h_1^-1h_2^-1h_1h_2 and is denoted by [h_1,h_2]. It satisfies the equation h_1h_2 = h_2h_1[h_1,h_2] and can be interpreted as the correction term that has to be introduced into a word if two elements of a group are interchanged. Iterated commutators are written in left-normed fashion: [h_1,h_2,...,h_n-1,h_n]=[[h_1,h_2,...,h_n-1],h_n]. The lower central series of G is defined inductively as γ_1(G) = G, γ_i(G) = [γ_i-1(G),G] for i ge 2. Each term in the lower central series is a normal (even fully invariant) subgroup of G. The factors of the lower central series are abelian groups. On each factor the induced action of G via conjugation is the trivial action. The factor γ_k(G)/γ_k+1(G) is generated by the elements [g,h]γ_k+1(G), where g runs through a set of (representatives of) generators for G/γ_2(G) and h runs through a set of (representatives of) generators for γ_k-1(G)/γ_k(G). Therefore, each factor of the lower central series is finitely generated if G is finitely generated. If one factor of the lower central series is finite, then all subsequent factors are finite. Then the exponent of the k+1-th factor is a divisor of the exponent of the k-th factor of the lower central series. In particular, the exponents of all factors of the lower central series are bounded by the exponent of the first finite factor of the lower central series. 2.2 Nilpotent groups A group G is called nilpotent if there is a positive integer c such that all (c+1)-fold commutators are trivial in G. The smallest integer with this property is called the nilpotency class of G. In terms of the lower central series a group G not= 1 has nilpotency class c if and only if γ_c(G) not= 1 and γ_c+1(G) = 1. Examples of nilpotent groups are finite p-groups, the group of unitriangular matrices over a ring with one and the factor groups of a free group modulo the terms of its lower central series. Finiteness of a nilpotent group can be decided by the group's commutator factor group. A nilpotent group is finite if and only if its commutator factor group is finite. A group whose commutator factor group is finite can only have finite nilpotent quotient groups. By refining the lower central series of a finitely generated nilpotent group one can obtain a (sub)normal series G_1>G_2>...>G_k+1=1 with cyclic (central) factors. Therefore, every finitely generated nilpotent group is polycyclic. Such a polycyclic series gives rise to a polycyclic generating sequence by choosing a generator a_i for each cyclic factor G_i/G_i+1. Let I be the set of indices such that G_i/G_i+1 is finite. A simple induction argument shows that every element of the group can be written uniquely as a normal word a_1^e_1... a_n^e_n with integers e_i and 0≤ e_ii as a word in the generators a_i+1,...,a_n. If the polycyclic series is obtained from refining the lower central series, then [a_j,a_i] is even a word in a_j+1,...,a_n. In this case we obtain a nilpotent presentation. To be more precise, a nilpotent presentation is given on a finite number of generators a_1,...,a_n. Let I be the set of indices such that G_i/G_i+1 is finite. Let m_i be the order of G_i/G_i+1 for i∈ I. Then a nilpotent presentation has the form \langle a,\ldots,a_n | a_i^{m_i} = w_{ii}(a_{i+1},\ldots,a_n) \mbox{ for } i\in I;\; [a_j,a_i] = w_{ij}(a_{j+1},\ldots,a_n) \mbox{ for } 1\leq i < j\leq n\rangle  Here, w_ij(a_k,...,a_n) denotes a group word in the generators a_k,...,a_n. In a group given by a polycyclic presentation each element in the group can be written as a normal word a_1^e_1... a_n^e_n with e_i ∈ Z and 0 ≤ e_i < m_i for i ∈ I. A procedure called collection can be used to convert an arbitrary word in the generators into an equivalent normal word. In general, the resulting normal word need not be unique. The result of collecting a word may depend on the steps chosen during the collection procedure. A polycyclic presentation with the property that two different normal words are never equivalent is called consistent. A polycyclic presentation derived from a polycyclic series as above is consistent. The following example shows an inconsistent polycyclic presentation \langle a,b\mid a^2, b^a = b^2 \rangle  as b = baa = ab^2a = a^2b^4 = b^4 which implies b^3=1. Here we have the equivalent normal words b^3 and the empty word. It can be proved that consistency can be checked by collecting a finite number of words in the given generating set in two essentially different ways and checking if the resulting normal forms are the same in both cases. See Chapter 9 of the book [Sim94] for an introduction to polycyclic groups and polycyclic presentations. For computations in a polycyclic group one chooses a consistent polycyclic presentation as it offers a simple solution to the word problem: Equality between two words is decided by collecting both words to their respective normal forms and comparing the normal forms. Nilpotent groups and nilpotent presentations are special cases of polycyclic groups and polycyclic presentations. Nilpotent presentations allow specially efficient collection methods. The package Polycyclic provides algorithms to compute with polycyclic groups given by a polycyclic presentation. However, inconsistent nilpotent presentations arise naturally in the nilpotent quotient algorithm. There is an algorithm based on the test words for consistency mentioned above to modify the arising inconsistent presentations suitably to obtain a consistent one for the same group. 2.4 A sketch of the algorithm The input for the ANU NQ in its simplest form is a finite presentation ⟨ X|R⟩ for a group G. The first step of the algorithm determines a nilpotent presentation for the commutator quotient of G. This is a presentation of the class-1 quotient of G. Call its generators a_1,...,a_d. It also determines a homomorphism of G onto the commutator quotient and describes it by specifying the image of each generator in X as a word in the a_i. For the general step assume that the algorithm has computed a nilpotent presentation for the class-c quotient of G and that a_1,...,a_d are the generators introduced in the first step of the algorithm. Furthermore, there is a map from X into the class-c quotient describing the epimorphism from G onto G/γ_c+1(G). Let b_1,...b_k be the generators from the last step of the algorithm, the computation of γ_c(G)/γ_c+1(G). This means that b_1,...b_k generate γ_c(G)/γ_c+1(G). Then the commutators [b_j,a_i] generate γ_c+1(G)/γ_c+2(G). The algorithm introduces new, central generators c_ij into the presentation, adds the relations [b_j,a_i] = c_ij and modifies the existing relations by appending suitable words in the c_ij, called tails, to the right hand sides of the power and commutator relations. The resulting presentation is a nilpotent presentation for the nilpotent cover of G/γ_c+1(G). The nilpotent cover is the largest central extension of G/γ_c+1(G) generated by d elements. It is is uniquely determined up to isomorphism. The resulting presentation of the nilpotent cover is in general inconsistent. Consistency is achieved by running the consistency test. This results in relations among the generators c_ij which can be used to eliminate some of those generators or introduce power relations. After this has been done we have a consistent nilpotent presentation for the nilpotent cover of G/γ_c+1(G). Furthermore, the nilpotent cover need not satisfy the relations of G. In other words, the epimorphism from G onto G/γ_c+1(G) cannot be lifted to an epimorphism onto the nilpotent cover. Applying the epimorphism to each relator of G and collecting the resulting words of the nilpotent cover yields a set of words in the c_ij. This gives further relations between the c_ij which leads to further eliminations or modifications of the power relations for the c_ij. After this, the inductive step of the ANU NQ is complete and a consistent nilpotent presentation for G/γ_c+2(G) is obtained together with an epimorphism from G onto the class-(c+1) quotient. Chapter 11 of the book [Sim94] discusses a nilpotent quotient algorithm. A description of the implementation in the ANU NQ is contained in [Nic96] 2.5 Identical Relations Let w be a word in free generators x_1,...,x_n. A group G satisfies the relation w=1 identically if each map from x_1,...,x_n into G maps w to the identity element of G. We also say that G satisfies the identical relation w=1 or satisfies the law w=1. In slight abuse of notation, we call the elements x_1,...,x_n identical generators. Common examples of identical relations are: A group of nilpotency class at most c satisfies the law [x_1,...,x_c+1]=1. A group that satisfies the law [x,y,...,y]=1 where y occurs n-times, is called an n-Engel group. A group that satisfies the law x^d=1 is a group of exponent d. To describe finitely presented groups that satisfy one or more laws, we extend a common notation for finitely presented groups by specifying the identical generators as part of the generator list, separated from the group generators by a semicolon: For example \langle a,b,c; x,y | x^5, [x,y,y,y]\rangle  is a group on 3 generators a,b,c of exponent 5 satisfying the 3rd Engel law. The presentation above is equivalent to a presentation on 3 generators with an infinite set of relators, where the set of relators consists of all fifth powers of words in the generators and all commutators [x,y,y,y] where x and y run through all words in the generators a,b,c. The standalone programme accepts the notation introduced above as a description of its input. In GAP 4 finitely presented groups are specified in a different way, see NilpotentQuotient (3.1-1) for a description. This notation can also be used in words that mix group and identical generators as in the following example: \langle a,b,c; x | [x,c], [a,x,x,x] \rangle  The first relator specifies a law which says that c commutes with all elements of the group. The second turns a into a third right Engel element. An element a is called a right n-th Engel element or a right n-Engel element if it satisfies the commutator law [a,x,...,x]=1 where the identical generator x occurs n-times. Likewise, an element b is called an left n-th Engel element or left n-Engel element if it satisfies the commutator law [x,b,b,...b]=1. Let G be a nilpotent group. Then G satisfies a given law if the law is satisfied by a certain finite set of instances given by Higman's Lemma, see [Hig59]. The ANU NQ uses Higman's Lemma to obtain a finite presentation for groups that satisfy one or several identical relations. 2.6 Expression Trees Expressions involving commutators play an important role in the context of nilpotent groups. Expanding an iterated commutator produces a complicated and long expression. For example, [x,y,z] = y^{-1}x^{-1}yxz^{-1}x^{-1}y^{-1}xyz.  Evaluating a commutator [a,b] is done efficiently by computing the equation (ba)^-1ab. Therefore, for each commutator we need to perform two multiplications and one inversion. Evaluating [x,y,z] needs four multiplications and two inversions. Evaluation of an iterated commutator with n components takes 2n-1 multiplications and n-1 inversions. The expression on the right hand side above needs 9 multiplications and 5 inversions which is clearly much more expensive than evaluating the commutator directly. Assuming that no cancellations occur, expanding an iterated commutator with n components produces a word with 2^n+1-2^n-1-2 factors half of which are inverses. A similar effect occurs whenever a compact expression is expanded into a word in generators and inverses, for example (ab)^49. Therefore, it is important not to expand expressions into a word in generators and inverses. For this purpose we provide a mechanism which we call here expression trees. An expression tree preserves the structure of a given expression. It is a (binary) tree in which each node is assigned an operation and whose leaves are generators of a free group or integers. For example, the expression [(xy)^2, z] is stored as a tree whose top node is a commutator node. The right subtree is just a generator node (corresponding to z). The left subtree is a power node whose subtrees are a product node on the left and an integer node on the right. An expression tree can involve products, powers, conjugates and commutators. However, the list of available operations can be extended. Evaluation of an expression tree is done recursively and requires as many operations as there are nodes in the tree. An expression tree can be evaluated in a specific group by the function EvaluateExpTree (3.2-2). A presentation specified by expression trees is a record with the components .generators and .relations. See section 3.2 for a description of the functions that produce and manipulate expression trees.  Example  gap> LoadPackage( "nq" ); true gap> gens := ExpressionTrees( 2 ); [ x1, x2 ] gap> r1 := LeftNormedComm( [gens[1],gens[2],gens[2]] ); Comm( x1, x2, x2 ) gap> r2 := LeftNormedComm( [gens[1],gens[2],gens[2],gens[1]] ); Comm( x1, x2, x2, x1 ) gap> pres := rec( generators := gens, relations := [r1,r2] ); rec( generators := [ x1, x2 ],  relations := [ Comm( x1, x2, x2 ), Comm( x1, x2, x2, x1 ) ] )  2.7 A word about the implementation The ANU NQ is written in C, but not in ANSI C. I hope to make one of the next versions ANSI compliable. However, it uses a fairly restricted subset of the language so that it should be easy to compile it in new environments. The code is 64-bit clean. If you have difficulties with porting it to a new environment, let me know and I'll be happy to assist if time permits. The program has two collectors: a simple collector from the left as described in [LGS90] and a combinatorial from the left collector as described in [VL90]. The combinatorial collector is always faster than the simple collector, therefore, it is the collector used by this package by default. This can be changed by modifying the global variable NqDefaultOptions (3.4-2). In a polycyclic group with generators that do not have power relations, exponents may become arbitrarily large. Experience shows that this happens rarely in the computations done by the ANU NQ. Exponents are represented by 32-bit integers. The collectors perform an overflow check and abort the computation if an overflow occurred. In a GNU environment the program can be compiled using the `long long' 64-bit integer type. For this uncomment the relevant line in src/Makefile and recompile the program. As part of the step that enforces consistency and the relations of the group, the ANU NQ performs computations with integer matrices and converts them to Hermite Normal Form. The algorithm used here is a variation of the Kanan-Bachem algorithm based on the GNU multiple precision package GNU MP [GMP]. Experience shows that the integer matrices are usually fairly sparse and Kanan-Bachem seems to be sufficient in this context. However, the implementation might benefit from a more efficient strategy for computing Hermite Normal Forms. This is a topic for further investigations. As the program does not compute the Smith Normal Form for each factor of the lower central series but the Hermite Normal Form, it does not necessarily obtain a minimal generating set for each factor of the lower central series. The following is a simple example of this behaviour. We take the presentation \langle x, y | x^2 = y \rangle  The group is clearly isomorphic to the additive group of the integers. Applying the ANU NQ to this presentation gives the following nilpotent presentation: \langle A,B | A^2 = B, [B,A] \rangle  A nilpotent presentation on a minimal generating set would be the presentation of the free group on one generator: \langle A | \; \rangle  2.8 The input format of the standalone The input format for finite presentations resembles the way many people write down a presentation on paper. Here are some examples of presentations that the ANU NQ accepts: < a, b | > # free group of rank 2 < a, b, c; x, y | [a,b,c], # a left normed commutator [b,c,c,c]^6, # another one raised to a power a^2 = c^-3*a^2*c^3, # a relation a^(b*c) = a, # a conjugate relation (a*[b,(a*c)])^6, # something that looks complicated [x,y,y,y,y], # an identical relation [c,x,x,x,x,x] # c is a fifth right Engel element > A presentation starts with '<' followed by a list of generators separated by commas. Generator names are strings that contain only upper and lower case letters, digits, dots and underscores and that do not start with a digit. The list of generator names is separated from the list of relators/relations by the symbol '∣'. The list of generators can be followed by a list of identical generators separated by a semicolon. Relators and relations are separated by commas and can be mixed arbitrarily. Parentheses can be used in order to group subexpressions together. Square brackets can be used in order to form left normed commutators. The symbols '*' and '^' can be used to form products and powers, respectively. The presentation finishes with the symbol '>'. A comment starts with the symbol '#' and finishes at the end of the line. The file src/presentation.c contains a complete grammar for the presentations accepted by the ANU NQ. Typically, the input for the standalone is put into a file by using a standard text editor. The file can be passed as an argument to the function NilpotentQuotient (3.1-1). It is also possible to put a presentation in the standalone's input format into a string and use the string as argument for NilpotentQuotient (3.1-1). nq-2.5.4/doc/chap3.txt0000664000371700037170000007304113441553627015675 0ustar gap-jenkinsgap-jenkins 3 The Functions of the Package 3.1 Nilpotent Quotients of Finitely Presented Groups 3.1-1 NilpotentQuotient NilpotentQuotient( [output-file, ]fp-group[, id-gens][, c] )  function NilpotentQuotient( [output-file, ]input-file[, c] )  function The parameter fp-group is either a finitely presented group or a record specifying a presentation by expression trees (see section 2.6). The parameter input-file is a string specifying the name of a file containing a finite presentation in the input format (cf. section 2.8) of the ANU NQ. Such a file can be prepared by a text editor or with the help of the function NqStringFpGroup (3.3-2). Let G be the group defined by fp-group or the group defined in input-file. The function computes a nilpotent presentation for G/γ_c+1(G) if the optional parameter c is specified. If c is not given, then the function attempts to compute the largest nilpotent quotient of G and it will terminate only if G has a largest nilpotent quotient. See section 3.5 for a possibility to follow the progress of the computation. The optional argument id-gens is a list of generators of the free group underlying the finitely presented group fp-group. The generators in this list are treated as identical generators. Consequently, all relations of the fp-group involving these generators are treated as identical relations for these generators. In addition to the arguments explained above, the function accepts the following options as shown in the first example below:  group This option can be used instead of the parameter fp-group.  input\_string This option can be used to specify a finitely presented group by a string in the input format of the standalone program.  input\_file This option specifies a file with input for the standalone program.  output\_file This option specifies a file for the output of the standalone.  idgens This options specifies a list of identical generators.  class This option specifies the nilpotency class up to which the nilpotent quotient will be computed. The following example computes the class-5 quotient of the free group on two generators.  Example   gap> F := FreeGroup( 2 );  gap> ## Equivalent to: NilpotentQuotient( : group := F, class := 5 ); gap> ## NilpotentQuotient( F : class := 5 );  gap> H := NilpotentQuotient( F, 5 ); Pcp-group with orders [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] gap> lcs := LowerCentralSeries( H );; gap> for i in [1..5] do Print( lcs[i] / lcs[i+1], "\n" ); od; Pcp-group with orders [ 0, 0 ] Pcp-group with orders [ 0 ] Pcp-group with orders [ 0, 0 ] Pcp-group with orders [ 0, 0, 0 ] Pcp-group with orders [ 0, 0, 0, 0, 0, 0 ]   Note that the lower central series in the example is part of the data returned by the standalone program. Therefore, the execution of the function LowerCentralSeries takes no time. The next example computes the class-4 quotient of the infinite dihedral group. The group is soluble but not nilpotent. The first factor of its lower central series is a Klein four group and all the other factors are cyclic or order 2.  Example   gap> F := FreeGroup( 2 );  gap> G := F / [F.1^2, F.2^2];  gap> H := NilpotentQuotient( G, 4 );  Pcp-group with orders [ 2, 2, 2, 2, 2 ] gap> lcs := LowerCentralSeries( H );; gap> for i in [1..Length(lcs)-1] do >  Print( AbelianInvariants(lcs[i] / lcs[i+1]), "\n" ); > od; [ 2, 2 ] [ 2 ] [ 2 ] [ 2 ] gap>    In the following example identical generators are used in order to express the fact that the group is nilpotent of class 3. A group is nilpotent of class 3 if it satisfies the identical relation [x_1,x_2,x_3,x_4]=1 (cf. Section 2.5). The result is the free nilpotent group of class 3 on two generators.  Example   gap> F := FreeGroup( "a", "b", "w", "x", "y", "z" );  gap> G := F / [ LeftNormedComm( [F.3,F.4,F.5,F.6] ) ];  gap> ## The following is equivalent to:  gap> ## NilpotentQuotient( G : idgens := [F.3,F.4,F.5,F.6] ); gap> H := NilpotentQuotient( G, [F.3,F.4,F.5,F.6] ); Pcp-group with orders [ 0, 0, 0, 0, 0 ] gap> NilpotencyClassOfGroup(H); 3 gap> LowerCentralSeries(H); [ Pcp-group with orders [ 0, 0, 0, 0, 0 ], Pcp-group with orders [ 0, 0, 0 ],   Pcp-group with orders [ 0, 0 ], Pcp-group with orders [ ] ]   The following example uses expression trees in order to specify the third Engel law for the free group on 3 generators.  Example   gap> et := ExpressionTrees( 5 );  [ x1, x2, x3, x4, x5 ] gap> comm := LeftNormedComm( [et[1], et[2], et[2], et[2]] ); Comm( x1, x2, x2, x2 ) gap> G := rec( generators := et, relations := [comm] ); rec( generators := [ x1, x2, x3, x4, x5 ],   relations := [ Comm( x1, x2, x2, x2 ) ] ) gap> H := NilpotentQuotient( G : idgens := [et[1],et[2]] ); Pcp-group with orders [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 4, 2, 2,   0, 6, 6, 0, 0, 2, 10, 10, 10 ] gap> TorsionSubgroup( H ); Pcp-group with orders [ 2, 2, 2, 2, 2, 2, 2, 10, 10, 10 ] gap> lcs := LowerCentralSeries( H );; gap> NilpotencyClassOfGroup( H ); 5 gap> for i in [1..5] do Print( lcs[i] / lcs[i+1], "\n" ); od; Pcp-group with orders [ 0, 0, 0 ] Pcp-group with orders [ 0, 0, 0 ] Pcp-group with orders [ 0, 0, 0, 0, 0, 0, 0, 0 ] Pcp-group with orders [ 2, 4, 2, 2, 0, 6, 6, 0, 0, 2 ] Pcp-group with orders [ 10, 10, 10 ] gap> for i in [1..5] do Print( AbelianInvariants(lcs[i]/lcs[i+1]), "\n" ); od; [ 0, 0, 0 ] [ 0, 0, 0 ] [ 0, 0, 0, 0, 0, 0, 0, 0 ] [ 2, 2, 2, 2, 2, 2, 2, 0, 0, 0 ] [ 10, 10, 10 ]   The example above also shows that the relative orders of an abelian polycyclic group need not be the abelian invariants (elementary divisors) of the group. Each zero corresponds to a generator of infinite order. The number of zeroes is always correct. 3.1-2 NilpotentEngelQuotient NilpotentEngelQuotient( [output-file, ]fp-group, n[, id-gens][, c] )  function NilpotentEngelQuotient( [output-file, ]input-file, n[, c] )  function This function is a special version of NilpotentQuotient (3.1-1) which enforces the n-th Engel identity on the nilpotent quotients of the group specified by fp-group or by input-file. It accepts the same options as NilpotentQuotient. The Engel condition can also be enforced by using identical generators and the Engel law and NilpotentQuotient (3.1-1). See the examples there. The following example computes the relatively free fifth Engel group on two generators, determines its (normal) torsion subgroup and computes the corresponding quotient group. The quotient modulo the torsion subgroup is torsion-free. Therefore, there is a nilpotent presentation without power relations. The example computes a nilpotent presentation for the torsion free factor group through the upper central series. The factors of the upper central series in a torsion free group are torsion free. In this way one obtains a set of generators of infinite order and the resulting nilpotent presentation has no power relations.  Example  gap> G := NilpotentEngelQuotient( FreeGroup(2), 5 ); Pcp-group with orders [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 10,   0, 0, 30, 0, 3, 3, 10, 2, 0, 6, 0, 0, 30, 2, 0, 9, 3, 5, 2, 6, 2, 10, 5, 5,   2, 0, 3, 3, 3, 3, 3, 5, 5, 3, 3 ] gap> NilpotencyClassOfGroup(G); 9 gap> T := TorsionSubgroup( G ); Pcp-group with orders [ 3, 3, 2, 2, 3, 3, 2, 9, 3, 5, 2, 3, 2, 10, 5, 2, 3,   3, 3, 3, 3, 5, 5, 3, 3 ] gap> IsAbelian( T ); true gap> AbelianInvariants( T ); [ 3, 3, 3, 3, 3, 3, 3, 3, 30, 30, 30, 180, 180 ] gap> H := G / T; Pcp-group with orders [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 10,   0, 0, 30, 0, 5, 0, 2, 0, 0, 10, 0, 2, 5, 0 ] gap> H := PcpGroupBySeries( UpperCentralSeries(H), "snf" ); Pcp-group with orders [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,   0, 0, 0, 0, 0 ] gap> ucs := UpperCentralSeries( H );; gap> for i in [1..NilpotencyClassOfGroup(H)] do >  Print( ucs[i]/ucs[i+1], "\n" ); > od; Pcp-group with orders [ 0, 0 ] Pcp-group with orders [ 0 ] Pcp-group with orders [ 0, 0 ] Pcp-group with orders [ 0, 0, 0 ] Pcp-group with orders [ 0, 0, 0, 0, 0, 0 ] Pcp-group with orders [ 0, 0, 0, 0 ] Pcp-group with orders [ 0, 0 ] Pcp-group with orders [ 0, 0, 0 ]  3.1-3 NqEpimorphismNilpotentQuotient NqEpimorphismNilpotentQuotient( [output-file, ]fp-group[, id-gens][, c] )  function This function computes an epimorphism from the group G given by the finite presentation fp-group onto G/γ_c+1(G). If c is not given, then the largest nilpotent quotient of G is computed and an epimorphism from G onto the largest nilpotent quotient of G. If G does not have a largest nilpotent quotient, the function will not terminate if c is not given. The optional argument id-gens is a list of generators of the free group underlying the finitely presented group fp-group. The generators in this list are treated as identical generators. Consequently, all relations of the fp-group involving these generators are treated as identical relations for these generators. If identical generators are specified, then the epimorphism returned maps the group generated by the `non-identical' generators onto the nilpotent factor group. See the last example below. The function understands the same options as the function NilpotentQuotient (3.1-1).  Example   gap> F := FreeGroup(3);   gap> phi := NqEpimorphismNilpotentQuotient( F, 5 ); [ f1, f2, f3 ] -> [ g1, g2, g3 ] gap> Image( phi, LeftNormedComm( [F.3, F.2, F.1] ) ); g12 gap> F := FreeGroup( "a", "b" );   gap> G := F / [ F.1^2, F.2^2 ];   gap> phi := NqEpimorphismNilpotentQuotient( G, 4 );  [ a, b ] -> [ g1, g2 ] gap> Image( phi, Comm(G.1,G.2) );  g3*g4 gap> F := FreeGroup( "a", "b", "u", "v", "x" );  gap> a := F.1;; b := F.2;; u := F.3;; v := F.4;; x := F.5;; gap> G := F / [ x^5, LeftNormedComm( [u,v,v,v] ) ];  gap> phi := NqEpimorphismNilpotentQuotient( G : idgens:=[u,v,x], class:=5 ); [ a, b ] -> [ g1, g2 ] gap> U := Source(phi);  Group([ a, b ]) gap> ImageElm( phi, LeftNormedComm( [U.1*U.2, U.2^-1,U.2^-1,U.2^-1,] ) ); id   Note that the last epimorphism is a map from the group generated by a and b onto the nilpotent quotient. The identical generators are used only to formulate the identical relator. They are not generators of the group G. Also note that the left-normed commutator above is mapped to the identity as G satisfies the specified identical law. 3.1-4 LowerCentralFactors LowerCentralFactors( ... )  function This function accepts the same arguments and options as NilpotentQuotient (3.1-1) and returns a list containing the abelian invariants of the central factors in the lower central series of the specified group.  Example  gap> LowerCentralFactors( FreeGroup(2), 6 ); [ [ 0, 0 ], [ 0 ], [ 0, 0 ], [ 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0 ],   [ 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]  3.2 Expression Trees 3.2-1 ExpressionTrees ExpressionTrees( m[, prefix] )  function ExpressionTrees( str1, str2, str3, ... )  function The argument m must be a positive integer. The function returns a list with m expression tree symbols named x1, x2,... The optional parameter prefix must be a string and is used instead of x if present. Alternatively, the function can be executed with a list of strings str1, str2, .... It returns a list of symbols with these strings as names. The following operations are defined for expression trees: multiplication, inversion, exponentiation, forming commutators, forming conjugates.  Example  gap> t := ExpressionTrees( 3 );  [ x1, x2, x3 ] gap> tree := Comm( t[1], t[2] )^3/LeftNormedComm( [t[1],t[2],t[3],t[1]] ); Comm( x1, x2 )^3/Comm( x1, x2, x3, x1 ) gap> t := ExpressionTrees( "a", "b", "x" ); [ a, b, x ] gap> tree := Comm( t[1], t[2] )^3/LeftNormedComm( [t[1],t[2],t[3],t[1]] ); Comm( a, b )^3/Comm( a, b, x, a )  3.2-2 EvaluateExpTree EvaluateExpTree( tree, symbols, values )  function The argument tree is an expression tree followed by the list of those symbols symbols from which the expression tree is built up. The argument values is a list containing a constant for each symbol. The function substitutes each value for the corresponding symbol and computes the resulting value for tree.  Example   gap> F := FreeGroup( 3 );   gap> t := ExpressionTrees( "a", "b", "x" ); [ a, b, x ] gap> tree := Comm( t[1], t[2] )^3/LeftNormedComm( [t[1],t[2],t[3],t[1]] ); Comm( a, b )^3/Comm( a, b, x, a ) gap> EvaluateExpTree( tree, t, GeneratorsOfGroup(F) ); f1^-1*f2^-1*f1*f2*f1^-1*f2^-1*f1*f2*f1^-1*f2^-1*f1*f2*f1^-1*f3^-1*f2^-1*f1^ -1*f2*f1*f3*f1^-1*f2^-1*f1*f2*f1*f2^-1*f1^-1*f2*f1*f3^-1*f1^-1*f2^-1*f1*f2*f3   3.3 Auxiliary Functions 3.3-1 NqReadOutput NqReadOutput( stream )  function The only argument stream is an output stream of the ANU NQ. The function reads the stream and returns a record that has a component for each global variable used in the output of the ANU NQ, see NqGlobalVariables (3.4-3). 3.3-2 NqStringFpGroup NqStringFpGroup( fp-group[, idgens] )  function The function takes a finitely presented group fp-group and returns a string in the input format of the ANU NQ. If the list idgens is present, then it must contain generators of the free group underlying the finitely presented group FreeGroupOfFpGroup (Reference: FreeGroupOfFpGroup). The generators in idgens are treated as identical generators.  Example   gap> F := FreeGroup(2);  gap> G := F / [F.1^2, F.2^2, (F.1*F.2)^4];  gap> NqStringFpGroup( G ); "< x1, x2 |\n x1^2,\n x2^2,\n x1*x2*x1*x2*x1*x2*x1*x2\n>\n" gap> Print( last ); < x1, x2 |  x1^2,  x2^2,  x1*x2*x1*x2*x1*x2*x1*x2 > gap> PrintTo( "dihedral", last ); gap> ## The following is equivalent to:  gap> ## NilpotentQuotient( : input_file := "dihedral" ); gap> NilpotentQuotient( "dihedral" ); Pcp-group with orders [ 2, 2, 2 ] gap> Exec( "rm dihedral" ); gap> F := FreeGroup(3);  gap> H := F / [ LeftNormedComm( [F.2,F.1,F.1] ),  >  LeftNormedComm( [F.2,F.1,F.2] ), F.3^7 ];  gap> str := NqStringFpGroup( H, [F.3] );  "< x1, x2; x3 |\n x1^-1*x2^-1*x1*x2*x1^-1*x2^-1*x1^-1*x2*x1^2,\n x1^-1*x\ 2^-1*x1*x2^-1*x1^-1*x2*x1*x2,\n x3^7\n>\n" gap> NilpotentQuotient( : input_string := str ); Pcp-group with orders [ 7, 7, 7 ]   3.3-3 NqStringExpTrees NqStringExpTrees( fp-group[, idgens] )  function The function takes a finitely presented group fp-group given in terms of expression trees and returns a string in the input format of the ANU NQ. If the list idgens is present, then it must contain a sublist of the generators of the presentation. The generators in idgens are treated as identical generators.  Example   gap> x := ExpressionTrees( 2 ); [ x1, x2 ] gap> rels := [x[1]^2, x[2]^2, (x[1]*x[2])^5];  [ x1^2, x2^2, (x1*x2)^5 ] gap> NqStringExpTrees( rec( generators := x, relations := rels ) ); "< x1, x2 |\n x1^2,\n x2^2,\n (x1*x2)^5\n>\n" gap> Print( last );  < x1, x2 |  x1^2,  x2^2,  (x1*x2)^5 > gap> x := ExpressionTrees( 3 ); [ x1, x2, x3 ] gap> rels := [LeftNormedComm( [x[2],x[1],x[1]] ),  >  LeftNormedComm( [x[2],x[1],x[2]] ), x[3]^7 ]; [ Comm( x2, x1, x1 ), Comm( x2, x1, x2 ), x3^7 ] gap> NqStringExpTrees( rec( generators := x, relations := rels ) ); "< x1, x2, x3 |\n [ x2, x1, x1 ],\n [ x2, x1, x2 ],\n x3^7\n>\n" gap> Print( last ); < x1, x2, x3 |  [ x2, x1, x1 ],  [ x2, x1, x2 ],  x3^7 >   3.3-4 NqElementaryDivisors NqElementaryDivisors( int-mat )  function The function ElementaryDivisorsMat (Reference: ElementaryDivisorsMat) only returns the non-zero elementary divisors of an integer matrix. This function computes the elementary divisors of int-mat and adds the appropriate number of zeroes in order to make it easier to recognize the isomorphism type of the abelian group presented by the integer matrix. At the same time ones are stripped from the list of elementary divisors. 3.4 Global Variables 3.4-1 NqRuntime NqRuntime global variable This variable contains the number of milliseconds of runtime of the last call of ANU NQ.  Example  gap> NilpotentEngelQuotient( FreeGroup(2), 5 ); Pcp-group with orders [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 10,   0, 0, 30, 0, 3, 3, 10, 2, 0, 6, 0, 0, 30, 2, 0, 9, 3, 5, 2, 6, 2, 10, 5, 5,   2, 0, 3, 3, 3, 3, 3, 5, 5, 3, 3 ] gap> NqRuntime; 18200  3.4-2 NqDefaultOptions NqDefaultOptions global variable This variable contains a list of strings which are the standard command line options passed to the ANU NQ in each call. Modifying this variable can be used to pass additional options to the ANU NQ.  Example  gap> NqDefaultOptions; [ "-g", "-p", "-C", "-s" ]  The option -g causes the ANU NQ to produce output in GAP-format. The option -p prevents the ANU NQ from listing the pc-presentation of the nilpotent quotient at the end of the calculation. The option -C invokes the combinatorial collector. The option -s is effective only in conjunction with options for computing with Engel identities and instructs the ANU NQ to use only semigroup words in the generators as instances of an Engel law. 3.4-3 NqGlobalVariables NqGlobalVariables global variable This variable contains a list of strings with the names of the global variables that are used in the output stream of the ANU NQ. While the output stream is read, these global variables are assigned new values. To avoid overwriting these variables in case they contain values, their contents is saved before reading the output stream and restored afterwards. 3.5 Diagnostic Output While the standalone program is running it can be asked to display progress information. This is done by setting the info class InfoNQ to 1 via the function SetInfoLevel (Reference: InfoLevel).  Example  gap> NilpotentQuotient(FreeGroup(2),5); Pcp-group with orders [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] gap> SetInfoLevel( InfoNQ, 1 ); gap> NilpotentQuotient(FreeGroup(2),5); #I Class 1: 2 generators with relative orders 0 0 #I Class 2: 1 generators with relative orders: 0 #I Class 3: 2 generators with relative orders: 0 0 #I Class 4: 3 generators with relative orders: 0 0 0 #I Class 5: 6 generators with relative orders: 0 0 0 0 0 0 Pcp-group with orders [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] gap> SetInfoLevel( InfoNQ, 0 );  nq-2.5.4/doc/chapBib.html0000664000371700037170000001245313441553627016354 0ustar gap-jenkinsgap-jenkins GAP (nq) - References
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References

[EN02] Eick, B. and Nickel, W., Polycyclic, Algorithms for working with polycyclic groups (2002)
(GAP package), http://www.icm.tu-bs.de/ag_algebra/software/polycyclic/.

[GMP] GNU MP, http://gmplib.org/.

[Hig59] Higman, G., Some remarks on varieties of groups, Quart. J. Math. Oxford, 2 (10) (1959), 165–178.

[LGS90] Leedham-Green, C. R. and Soicher, L. H., Collection from the left and other strategies, J. Symbolic Comput., 9 (5–6) (1990), 665–675.

[Nic96] Nickel, W., Computing Nilpotent Quotients of Finitely Presented Groups, in Geometric and Computational Perspectives on Infinite Groups, Dimacs Series in Discrete Mathematics and Theoretical Computer Science, 25 (1996), 175–191.

[NN94] Newman, M. F. and Nickel, W., Engel elements in groups, J. Pure Appl. Algebra, 96 (1994), 39–45.

[Sim94] Sims, C. C., Computation with Finitely Presented Groups, Cambridge University Press (1994).

[VL90] Vaughan-Lee, M. R., Collection from the Left, J. Symbolic Comput., Academic Press, 9 (1990), 725–733.

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nq-2.5.4/doc/chap0.html0000664000371700037170000002701013441553627016012 0ustar gap-jenkinsgap-jenkins GAP (nq) - Contents
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nq

A GAP 4 Package
computing nilpotent factor groups of finitely presented groups

Based on the ANU Nilpotent Quotient Program

2.5.4

15 February 2019

Max Horn
Email: max.horn@math.uni-giessen.de
Homepage: https://www.quendi.de/math
Address:
AG Algebra
Mathematisches Institut
Justus-Liebig-Universität Gießen
Arndtstraße 2
35392 Gießen
Germany

Werner Nickel
Homepage: http://www.mathematik.tu-darmstadt.de/~nickel/

Copyright

© 1992-2007 Werner Nickel

The nq package is free software; you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation; either version 2 of the License, or (at your option) any later version.

Acknowledgements

The author of ANU NQ is Werner Nickel.

The development of this program was started while the author was supported by an Australian National University PhD scholarship and an Overseas Postgraduate Research Scholarship.

Further development of this program was done with support from the DFG-Schwerpunkt-Projekt "`Algorithmische Zahlentheorie und Algebra"'.

Since then, maintenance of ANU NQ has been taken over by Max Horn. All credit for creating ANU NQ still goes to Werner Nickel as sole author. However, bug reports and other inquiries should be sent to Max Horn.

The following are the original acknowledgements by Werner Nickel.

Over the years a number of people have made useful suggestions that found their way into the code: Mike Newman, Michael Vaughan-Lee, Joachim Neubüser, Charles Sims.

Thanks to Volkmar Felsch and Joachim Neubüser for their careful examination of the package prior to its release for GAP 4.

This documentation was prepared with the GAPDoc package by Frank Lübeck and Max Neunhöffer.

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nq-2.5.4/doc/chap1.txt0000664000371700037170000000405513441553627015672 0ustar gap-jenkinsgap-jenkins 1 Introduction This package provides an interface between GAP 4 and the Australian National University Nilpotent Quotient Program (ANU NQ). The ANU NQ was implemented as part of the author's work towards his PhD at the Australian National University, hence the name of the program. The program takes as input a finite presentation of a group and successively computes factor groups modulo the terms of the lower central series of the group. These factor groups are computed in terms of polycyclic presentations. The ANU NQ is implemented in the programming language C. The implementation has been developed in a Unix environment and Unix is currently the only operating system supported. It runs on a number of different Unix versions, e.g. Solaris and Linux. For integer matrix computations it relies on the GNU MP [GMP] package and requires this package to be installed on your system. This package relies on the functionality for polycyclic groups provided by the GAP package polycyclic [EN02] and requires the package polycyclic to be installed as a GAP package on your computer system. Comments, bug reports and suggestions are very welcome, please submit them via our issue tracker (https://github.com/gap-system/nq/issues). This manual contains references to parts of the GAP Reference Manual which are typeset in a slightly idiosyncratic way. The following example shows how such references are printed: 'For further information on creating a free group see FreeGroup (Reference: FreeGroup).' The text in bold face refers to the GAP Reference Manual. Each item in the list of references at the end of this manual is followed by a list of numbers that specify the pages of the manual where the reference occurs. nq-2.5.4/doc/chap0.txt0000664000371700037170000001106113441553627015664 0ustar gap-jenkinsgap-jenkins  nq   A GAP 4 Package computing nilpotent factor groups of finitely presented groups  Based on the ANU Nilpotent Quotient Program  2.5.4 15 February 2019 Max Horn Werner Nickel Max Horn Email: mailto:max.horn@math.uni-giessen.de Homepage: https://www.quendi.de/math Address: AG Algebra Mathematisches Institut Justus-Liebig-Universität Gießen Arndtstraße 2 35392 Gießen Germany Werner Nickel Homepage: http://www.mathematik.tu-darmstadt.de/~nickel/ ------------------------------------------------------- Copyright © 1992-2007 Werner Nickel The nq package is free software; you can redistribute it and/or modify it under the terms of the GNU General Public License (http://www.fsf.org/licenses/gpl.html) as published by the Free Software Foundation; either version 2 of the License, or (at your option) any later version. ------------------------------------------------------- Acknowledgements The author of ANU NQ is Werner Nickel. The development of this program was started while the author was supported by an Australian National University PhD scholarship and an Overseas Postgraduate Research Scholarship. Further development of this program was done with support from the DFG-Schwerpunkt-Projekt "`Algorithmische Zahlentheorie und Algebra"'. Since then, maintenance of ANU NQ has been taken over by Max Horn. All credit for creating ANU NQ still goes to Werner Nickel as sole author. However, bug reports and other inquiries should be sent to Max Horn. The following are the original acknowledgements by Werner Nickel. Over the years a number of people have made useful suggestions that found their way into the code: Mike Newman, Michael Vaughan-Lee, Joachim Neubüser, Charles Sims. Thanks to Volkmar Felsch and Joachim Neubüser for their careful examination of the package prior to its release for GAP 4. This documentation was prepared with the GAPDoc package by Frank Lübeck and Max Neunhöffer. ------------------------------------------------------- Contents (nq) 1 Introduction 2 General remarks 2.1 Commutators and the Lower Central Series 2.2 Nilpotent groups 2.3 Nilpotent presentations 2.4 A sketch of the algorithm 2.5 Identical Relations 2.6 Expression Trees 2.7 A word about the implementation 2.8 The input format of the standalone 3 The Functions of the Package 3.1 Nilpotent Quotients of Finitely Presented Groups 3.1-1 NilpotentQuotient 3.1-2 NilpotentEngelQuotient 3.1-3 NqEpimorphismNilpotentQuotient 3.1-4 LowerCentralFactors 3.2 Expression Trees 3.2-1 ExpressionTrees 3.2-2 EvaluateExpTree 3.3 Auxiliary Functions 3.3-1 NqReadOutput 3.3-2 NqStringFpGroup 3.3-3 NqStringExpTrees 3.3-4 NqElementaryDivisors 3.4 Global Variables 3.4-1 NqRuntime 3.4-2 NqDefaultOptions 3.4-3 NqGlobalVariables 3.5 Diagnostic Output 4 Examples 4.1 Right Engel elements 5 Installation of the Package 5.1 Configuring for compilation 5.2 Compiling the nq binary 5.3 Testing 5.4 Feedback A The nq command line interface A.1 How to use the ANU NQ A.2 The input format for presentations A.3 An example A.4 Some remarks about the algorithm  nq-2.5.4/doc/chap4_mj.html0000664000371700037170000002210113441553627016500 0ustar gap-jenkinsgap-jenkins GAP (nq) - Chapter 4: Examples
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4 Examples

4.1 Right Engel elements

An old problem in the context of Engel elements is the question: Is a right \(n\)-Engel element left \(n\)-Engel? It is known that the answer is no. For details about the history of the problem, see [NN94]. In this paper the authors show that for \(n>4\) there are nilpotent groups with right \(n\)-Engel elements no power of which is a left \(n\)-Engel element. The insight was based on computations with the ANU NQ which we reproduce here. We also show the cases \(5>n\).

gap> LoadPackage( "nq" );
true
gap> ##  SetInfoLevel( InfoNQ, 1 );
gap> ##
gap> ##  setup calculation
gap> ##
gap> et := ExpressionTrees( "a", "b", "x" );
[ a, b, x ]
gap> a := et[1];; b := et[2];; x := et[3];;
gap> 
gap> ##
gap> ##  define the group for n = 2,3,4,5
gap> ##
gap> 
gap> rengel := LeftNormedComm( [a,x,x] );
Comm( a, x, x )
gap> G := rec( generators := et, relations := [rengel] );
rec( generators := [ a, b, x ], relations := [ Comm( a, x, x ) ] )
gap> ## The following is equivalent to:
gap> ##   NilpotentQuotient( : input_string := NqStringExpTrees( G, [x] ) )
gap> H := NilpotentQuotient( G, [x] );
Pcp-group with orders [ 0, 0, 0 ]
gap> LeftNormedComm( [ H.2,H.1,H.1 ] );
id
gap> LeftNormedComm( [ H.1,H.2,H.2 ] );
id

This shows that each right 2-Engel element in a finitely generated nilpotent group is a left 2-Engel element. Note that the group above is the largest nilpotent group generated by two elements, one of which is right 2-Engel. Every nilpotent group generated by an arbitrary element and a right 2-Engel element is a homomorphic image of the group \(H\).

gap> rengel := LeftNormedComm( [a,x,x,x] );
Comm( a, x, x, x )
gap> G := rec( generators := et, relations := [rengel] );
rec( generators := [ a, b, x ], relations := [ Comm( a, x, x, x ) ] )
gap> H := NilpotentQuotient( G, [x] );
Pcp-group with orders [ 0, 0, 0, 0, 0, 4, 2, 2 ]
gap> LeftNormedComm( [ H.1,H.2,H.2,H.2 ] );
id
gap> h := LeftNormedComm( [ H.2,H.1,H.1,H.1 ] );
g6^2*g7*g8
gap> Order( h );
4

The element \(h\) has order \(4\). In a nilpotent group without \(2\)-torsion a right 3-Engel element is left 3-Engel.

gap> rengel := LeftNormedComm( [a,x,x,x,x] );
Comm( a, x, x, x, x )
gap> G := rec( generators := et, relations := [rengel] );
rec( generators := [ a, b, x ], relations := [ Comm( a, x, x, x, x ) ] )
gap> H := NilpotentQuotient( G, [x] );
Pcp-group with orders [ 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 12, 0, 5, 10, 2, 0, 30, 
  5, 2, 5, 5, 5, 5 ]
gap> LeftNormedComm( [ H.1,H.2,H.2,H.2,H.2 ] );
id
gap> h := LeftNormedComm( [ H.2,H.1,H.1,H.1,H.1 ] );
g9*g10^2*g11^10*g12^5*g13^2*g14^8*g15*g16^6*g17^10*g18*g20^4*g21^4*g22^2*g23^2
gap> Order( h );
60

The previous calculation shows that in a nilpotent group without \(2,3,5\)-torsion a right 4-Engel element is left 4-Engel.

gap> rengel := LeftNormedComm( [a,x,x,x,x,x] );
Comm( a, x, x, x, x, x )
gap> G := rec( generators := et, relations := [rengel] );
rec( generators := [ a, b, x ], relations := [ Comm( a, x, x, x, x, x ) ] )
gap> H := NilpotentQuotient( G, [x], 9 );
Pcp-group with orders [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 30, 
  0, 0, 30, 0, 3, 6, 0, 0, 10, 30, 0, 0, 0, 0, 30, 30, 0, 0, 3, 6, 5, 2, 0, 
  2, 408, 2, 0, 0, 0, 10, 10, 30, 10, 0, 0, 0, 3, 3, 3, 2, 204, 6, 6, 0, 10, 
  10, 10, 2, 2, 2, 0, 300, 0, 0, 18 ]
gap> LeftNormedComm( [ H.1,H.2,H.2,H.2,H.2,H.2 ] );
id
gap> h := LeftNormedComm( [ H.2,H.1,H.1,H.1,H.1,H.1 ] );;
gap> Order( h );
infinity

Finally, we see that in a torsion-free group a right 5-Engel element need not be a left 5-Engel element.

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nq-2.5.4/doc/general.xml0000664000371700037170000005272713441553627016305 0ustar gap-jenkinsgap-jenkins General remarks In this chapter we define notation used throughout this manual and recollect basic facts about nilpotent groups. We also provide some background information about the functionality implemented in this package.
Commutators and the Lower Central Series commutator The commutator of two elements h_1 and h_2 of a group G is the element h_1^{-1}h_2^{-1}h_1h_2 and is denoted by [h_1,h_2]. It satisfies the equation h_1h_2 = h_2h_1[h_1,h_2] and can be interpreted as the correction term that has to be introduced into a word if two elements of a group are interchanged. Iterated commutators are written in left-normed fashion: left-normed commutator [h_1,h_2,\ldots,h_{n-1},h_n]=[[h_1,h_2,\ldots,h_{n-1}],h_n].

lower central series The lower central series of G is defined inductively as \gamma_1(G) = G, \gamma_i(G) = [\gamma_{i-1}(G),G] for i \ge 2. Each term in the lower central series is a normal (even fully invariant) subgroup of G. The factors of the lower central series are abelian groups. On each factor the induced action of G via conjugation is the trivial action.

The factor \gamma_k(G)/\gamma_{k+1}(G) is generated by the elements [g,h]\gamma_{k+1}(G), where g runs through a set of (representatives of) generators for G/\gamma_2(G) and h runs through a set of (representatives of) generators for \gamma_{k-1}(G)/\gamma_k(G). Therefore, each factor of the lower central series is finitely generated if G is finitely generated.

If one factor of the lower central series is finite, then all subsequent factors are finite. Then the exponent of the k+1-th factor is a divisor of the exponent of the k-th factor of the lower central series. In particular, the exponents of all factors of the lower central series are bounded by the exponent of the first finite factor of the lower central series.

Nilpotent groups nilpotent A group G is called nilpotent if there is a positive integer c such that all (c+1)-fold commutators are trivial in G. The smallest integer with this property is called the nilpotency classclass nilpotency class of G. In terms of the lower central series a group G \not= 1 has nilpotency class c if and only if \gamma_{c}(G) \not= 1 and \gamma_{c+1}(G) = 1.

Examples of nilpotent groups are finite p-groups, the group of unitriangular matrices over a ring with one and the factor groups of a free group modulo the terms of its lower central series.

Finiteness of a nilpotent group can be decided by the group's commutator factor group. A nilpotent group is finite if and only if its commutator factor group is finite. A group whose commutator factor group is finite can only have finite nilpotent quotient groups.

By refining the lower central series of a finitely generated nilpotent group one can obtain a (sub)normal series G_1>G_2>...>G_{k+1}=1 with cyclic (central) factors. Therefore, every finitely generated nilpotent group is polycyclicpolycyclic. Such a polycyclic series gives rise to a polycyclic generating sequence polycyclic generating sequence by choosing a generator a_i for each cyclic factor G_i/G_{i+1}. Let I be the set of indices such that G_i/G_{i+1} is finite. A simple induction argument shows that every element of the group can be written uniquely as a normal word a_1^{e_1}\ldots a_n^{e_n} with integers e_i and 0\leq e_i<m_i for i\in I.

Nilpotent presentations

From a polycyclic generating sequence one can obtain a polycyclic presentation polycyclic presentation for the group. The following set of power and commutator relations is a defining set of relations. The power relation power relations express a_i^{m_i} in terms of the generators a_{i+1},\ldots,a_n whenever G_i/G_{i+1} is finite with order m_i. The commutator relation commutator relations are obtained by expressing [a_j,a_i] for j>i as a word in the generators a_{i+1},\ldots,a_n. If the polycyclic series is obtained from refining the lower central series, then [a_j,a_i] is even a word in a_{j+1},\ldots,a_n. In this case we obtain a nilpotent presentation.

To be more precise, a nilpotent presentation nilpotent presentation is given on a finite number of generators a_1,\ldots,a_n. Let I be the set of indices such that G_i/G_{i+1} is finite. Let m_i be the order of G_i/G_{i+1} for i\in I. Then a nilpotent presentation has the form \langle a,\ldots,a_n | a_i^{m_i} = w_{ii}(a_{i+1},\ldots,a_n) \mbox{ for } i\in I;\; [a_j,a_i] = w_{ij}(a_{j+1},\ldots,a_n) \mbox{ for } 1\leq i < j\leq n\rangle Here, w_{ij}(a_k,\ldots,a_n) denotes a group word in the generators a_k,\ldots,a_n.

In a group given by a polycyclic presentation each element in the group can be written as a normal word a_1^{e_1}\ldots a_n^{e_n} with e_i \in \mathbb{Z} and 0 \leq e_i < m_i for i \in I. A procedure called collection can be used to convert an arbitrary word in the generators into an equivalent normal word. In general, the resulting normal word need not be unique. The result of collecting a word may depend on the steps chosen during the collection procedure. A polycyclic presentation with the property that two different normal words are never equivalent is called consistentconsistent. A polycyclic presentation derived from a polycyclic series as above is consistent. The following example shows an inconsistent polycyclic presentation \langle a,b\mid a^2, b^a = b^2 \rangle as b = baa = ab^2a = a^2b^4 = b^4 which implies b^3=1. Here we have the equivalent normal words b^3 and the empty word. It can be proved that consistency can be checked by collecting a finite number of words in the given generating set in two essentially different ways and checking if the resulting normal forms are the same in both cases. See Chapter 9 of the book for an introduction to polycyclic groups and polycyclic presentations.

For computations in a polycyclic group one chooses a consistent polycyclic presentation as it offers a simple solution to the word problem: Equality between two words is decided by collecting both words to their respective normal forms and comparing the normal forms. Nilpotent groups and nilpotent presentations are special cases of polycyclic groups and polycyclic presentations. Nilpotent presentations allow specially efficient collection methods. The package Polycyclic provides algorithms to compute with polycyclic groups given by a polycyclic presentation.

However, inconsistent nilpotent presentations arise naturally in the nilpotent quotient algorithm. There is an algorithm based on the test words for consistency mentioned above to modify the arising inconsistent presentations suitably to obtain a consistent one for the same group.

A sketch of the algorithm The input for the ANU NQ in its simplest form is a finite presentation \langle X|R\rangle for a group G. The first step of the algorithm determines a nilpotent presentation for the commutator quotient of G. This is a presentation of the class-1 quotient of G. Call its generators a_1,...,a_d. It also determines a homomorphism of G onto the commutator quotient and describes it by specifying the image of each generator in X as a word in the a_i.

For the general step assume that the algorithm has computed a nilpotent presentation for the class-c quotient of G and that a_1,...,a_d are the generators introduced in the first step of the algorithm. Furthermore, there is a map from X into the class-c quotient describing the epimorphism from G onto G/\gamma_{c+1}(G).

Let b_1,...b_k be the generators from the last step of the algorithm, the computation of \gamma_c(G)/\gamma_{c+1}(G). This means that b_1,...b_k generate \gamma_c(G)/\gamma_{c+1}(G). Then the commutators [b_j,a_i] generate \gamma_{c+1}(G)/\gamma_{c+2}(G). The algorithm introduces new, central generators c_{ij} into the presentation, adds the relations [b_j,a_i] = c_{ij} and modifies the existing relations by appending suitable words in the c_{ij}, called tails, to the right hand sides of the power and commutator relations. The resulting presentation is a nilpotent presentation for the nilpotent cover of G/\gamma_{c+1}(G). The nilpotent cover is the largest central extension of G/\gamma_{c+1}(G) generated by d elements. It is is uniquely determined up to isomorphism.

The resulting presentation of the nilpotent cover is in general inconsistent. Consistency is achieved by running the consistency test. This results in relations among the generators c_{ij} which can be used to eliminate some of those generators or introduce power relations. After this has been done we have a consistent nilpotent presentation for the nilpotent cover of G/\gamma_{c+1}(G).

Furthermore, the nilpotent cover need not satisfy the relations of G. In other words, the epimorphism from G onto G/\gamma_{c+1}(G) cannot be lifted to an epimorphism onto the nilpotent cover. Applying the epimorphism to each relator of G and collecting the resulting words of the nilpotent cover yields a set of words in the c_{ij}. This gives further relations between the c_{ij} which leads to further eliminations or modifications of the power relations for the c_{ij}.

After this, the inductive step of the ANU NQ is complete and a consistent nilpotent presentation for G/\gamma_{c+2}(G) is obtained together with an epimorphism from G onto the class-(c+1) quotient.

Chapter 11 of the book discusses a nilpotent quotient algorithm. A description of the implementation in the ANU NQ is contained in

Identical Relations
Expression Trees Expressions involving commutators play an important role in the context of nilpotent groups. Expanding an iterated commutator produces a complicated and long expression. For example, [x,y,z] = y^{-1}x^{-1}yxz^{-1}x^{-1}y^{-1}xyz. Evaluating a commutator [a,b] is done efficiently by computing the equation (ba)^{-1}ab. Therefore, for each commutator we need to perform two multiplications and one inversion. Evaluating [x,y,z] needs four multiplications and two inversions. Evaluation of an iterated commutator with n components takes 2n-1 multiplications and n-1 inversions. The expression on the right hand side above needs 9 multiplications and 5 inversions which is clearly much more expensive than evaluating the commutator directly.

Assuming that no cancellations occur, expanding an iterated commutator with n components produces a word with 2^{n+1}-2^{n-1}-2 factors half of which are inverses. A similar effect occurs whenever a compact expression is expanded into a word in generators and inverses, for example (ab)^{49}.

Therefore, it is important not to expand expressions into a word in generators and inverses. For this purpose we provide a mechanism which we call here expression trees expression trees. An expression tree preserves the structure of a given expression. It is a (binary) tree in which each node is assigned an operation and whose leaves are generators of a free group or integers. For example, the expression [(xy)^2, z] is stored as a tree whose top node is a commutator node. The right subtree is just a generator node (corresponding to z). The left subtree is a power node whose subtrees are a product node on the left and an integer node on the right. An expression tree can involve products, powers, conjugates and commutators. However, the list of available operations can be extended.

Evaluation of an expression tree is done recursively and requires as many operations as there are nodes in the tree. An expression tree can be evaluated in a specific group by the function .

A presentation specified by expression trees is a record with the components .generators and .relations. See section for a description of the functions that produce and manipulate expression trees. gap> LoadPackage( "nq" ); true gap> gens := ExpressionTrees( 2 ); [ x1, x2 ] gap> r1 := LeftNormedComm( [gens[1],gens[2],gens[2]] ); Comm( x1, x2, x2 ) gap> r2 := LeftNormedComm( [gens[1],gens[2],gens[2],gens[1]] ); Comm( x1, x2, x2, x1 ) gap> pres := rec( generators := gens, relations := [r1,r2] ); rec( generators := [ x1, x2 ], relations := [ Comm( x1, x2, x2 ), Comm( x1, x2, x2, x1 ) ] )

A word about the implementation The ANU NQ is written in C, but not in ANSI C. I hope to make one of the next versions ANSI compliable. However, it uses a fairly restricted subset of the language so that it should be easy to compile it in new environments. The code is 64-bit clean. If you have difficulties with porting it to a new environment, let me know and I'll be happy to assist if time permits.

The program has two collectors: a simple collector from the left as described in and a combinatorial from the left collector as described in . The combinatorial collector is always faster than the simple collector, therefore, it is the collector used by this package by default. This can be changed by modifying the global variable .

In a polycyclic group with generators that do not have power relations, exponents may become arbitrarily large. Experience shows that this happens rarely in the computations done by the ANU NQ. Exponents are represented by 32-bit integers. The collectors perform an overflow check and abort the computation if an overflow occurred. In a GNU environment the program can be compiled using the `long long' 64-bit integer type. For this uncomment the relevant line in src/Makefile and recompile the program.

As part of the step that enforces consistency and the relations of the group, the ANU NQ performs computations with integer matrices and converts them to Hermite Normal Form. The algorithm used here is a variation of the Kanan-Bachem algorithm based on the GNU multiple precision package GNU MP . Experience shows that the integer matrices are usually fairly sparse and Kanan-Bachem seems to be sufficient in this context. However, the implementation might benefit from a more efficient strategy for computing Hermite Normal Forms. This is a topic for further investigations.

As the program does not compute the Smith Normal Form for each factor of the lower central series but the Hermite Normal Form, it does not necessarily obtain a minimal generating set for each factor of the lower central series. The following is a simple example of this behaviour. We take the presentation \langle x, y | x^2 = y \rangle The group is clearly isomorphic to the additive group of the integers. Applying the ANU NQ to this presentation gives the following nilpotent presentation: \langle A,B | A^2 = B, [B,A] \rangle A nilpotent presentation on a minimal generating set would be the presentation of the free group on one generator: \langle A | \; \rangle

The input format of the standalone
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} /* colors for ColorPrompt like examples */ span.GAPprompt { color: #000097; font-weight: normal; } span.GAPbrkprompt { color: #970000; font-weight: normal; } span.GAPinput { color: #970000; } /* Bib entries */ p.BibEntry { } span.BibKey { color: #005522; } span.BibKeyLink { } b.BibAuthor { } i.BibTitle { } i.BibBookTitle { } span.BibEditor { } span.BibJournal { } span.BibType { } span.BibPublisher { } span.BibSchool { } span.BibEdition { } span.BibVolume { } span.BibSeries { } span.BibNumber { } span.BibPages { } span.BibOrganization { } span.BibAddress { } span.BibYear { } span.BibPublisher { } span.BibNote { } span.BibHowpublished { } nq-2.5.4/doc/chap4.txt0000664000371700037170000001374313441553627015701 0ustar gap-jenkinsgap-jenkins 4 Examples 4.1 Right Engel elements An old problem in the context of Engel elements is the question: Is a right n-Engel element left n-Engel? It is known that the answer is no. For details about the history of the problem, see [NN94]. In this paper the authors show that for n>4 there are nilpotent groups with right n-Engel elements no power of which is a left n-Engel element. The insight was based on computations with the ANU NQ which we reproduce here. We also show the cases 5>n.  Example  gap> LoadPackage( "nq" ); true gap> ## SetInfoLevel( InfoNQ, 1 ); gap> ## gap> ## setup calculation gap> ## gap> et := ExpressionTrees( "a", "b", "x" ); [ a, b, x ] gap> a := et[1];; b := et[2];; x := et[3];; gap>  gap> ## gap> ## define the group for n = 2,3,4,5 gap> ## gap>  gap> rengel := LeftNormedComm( [a,x,x] ); Comm( a, x, x ) gap> G := rec( generators := et, relations := [rengel] ); rec( generators := [ a, b, x ], relations := [ Comm( a, x, x ) ] ) gap> ## The following is equivalent to: gap> ## NilpotentQuotient( : input_string := NqStringExpTrees( G, [x] ) ) gap> H := NilpotentQuotient( G, [x] ); Pcp-group with orders [ 0, 0, 0 ] gap> LeftNormedComm( [ H.2,H.1,H.1 ] ); id gap> LeftNormedComm( [ H.1,H.2,H.2 ] ); id  This shows that each right 2-Engel element in a finitely generated nilpotent group is a left 2-Engel element. Note that the group above is the largest nilpotent group generated by two elements, one of which is right 2-Engel. Every nilpotent group generated by an arbitrary element and a right 2-Engel element is a homomorphic image of the group H.  Example  gap> rengel := LeftNormedComm( [a,x,x,x] ); Comm( a, x, x, x ) gap> G := rec( generators := et, relations := [rengel] ); rec( generators := [ a, b, x ], relations := [ Comm( a, x, x, x ) ] ) gap> H := NilpotentQuotient( G, [x] ); Pcp-group with orders [ 0, 0, 0, 0, 0, 4, 2, 2 ] gap> LeftNormedComm( [ H.1,H.2,H.2,H.2 ] ); id gap> h := LeftNormedComm( [ H.2,H.1,H.1,H.1 ] ); g6^2*g7*g8 gap> Order( h ); 4  The element h has order 4. In a nilpotent group without 2-torsion a right 3-Engel element is left 3-Engel.  Example  gap> rengel := LeftNormedComm( [a,x,x,x,x] ); Comm( a, x, x, x, x ) gap> G := rec( generators := et, relations := [rengel] ); rec( generators := [ a, b, x ], relations := [ Comm( a, x, x, x, x ) ] ) gap> H := NilpotentQuotient( G, [x] ); Pcp-group with orders [ 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 12, 0, 5, 10, 2, 0, 30,   5, 2, 5, 5, 5, 5 ] gap> LeftNormedComm( [ H.1,H.2,H.2,H.2,H.2 ] ); id gap> h := LeftNormedComm( [ H.2,H.1,H.1,H.1,H.1 ] ); g9*g10^2*g11^10*g12^5*g13^2*g14^8*g15*g16^6*g17^10*g18*g20^4*g21^4*g22^2*g23^2 gap> Order( h ); 60  The previous calculation shows that in a nilpotent group without 2,3,5-torsion a right 4-Engel element is left 4-Engel.  Example  gap> rengel := LeftNormedComm( [a,x,x,x,x,x] ); Comm( a, x, x, x, x, x ) gap> G := rec( generators := et, relations := [rengel] ); rec( generators := [ a, b, x ], relations := [ Comm( a, x, x, x, x, x ) ] ) gap> H := NilpotentQuotient( G, [x], 9 ); Pcp-group with orders [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 30,   0, 0, 30, 0, 3, 6, 0, 0, 10, 30, 0, 0, 0, 0, 30, 30, 0, 0, 3, 6, 5, 2, 0,   2, 408, 2, 0, 0, 0, 10, 10, 30, 10, 0, 0, 0, 3, 3, 3, 2, 204, 6, 6, 0, 10,   10, 10, 2, 2, 2, 0, 300, 0, 0, 18 ] gap> LeftNormedComm( [ H.1,H.2,H.2,H.2,H.2,H.2 ] ); id gap> h := LeftNormedComm( [ H.2,H.1,H.1,H.1,H.1,H.1 ] );; gap> Order( h ); infinity  Finally, we see that in a torsion-free group a right 5-Engel element need not be a left 5-Engel element. nq-2.5.4/doc/chap5.txt0000664000371700037170000001036713441553627015701 0ustar gap-jenkinsgap-jenkins 5 Installation of the Package Installation of the ANU NQ is done in two steps. 5.1 Configuring for compilation First the configure script is run:  Installation   ./configure   If you installed the package in another pkg directory than the standard pkg directory in your GAP 4 installation, then you have to do two things. Firstly during compilation you have to use the option --with-gaproot=PATH of the configure script where PATH is a path to the main GAP root directory (if not given the default ../.. is assumed). That is, run  Installation   ./configure --with-gaproot=PATH   Secondly you have to specify the path to the directory containing your pkg directory to GAP's list of directories. This can be done by starting GAP with the -l command line option followed by the name of the directory and a semicolon. Then your directory is prepended to the list of directories searched. Otherwise the package is not found by GAP. Of course, you can add this option to your GAP startup script. Another issue that can occur when running configure is that it may fail to locate the the GNU multiple precision library (GMP [GMP]) which ANU NQ requires to work. This library is also used by GAP and hence normally should be available on your system anyway. But if this is not the case for some reason, it has to be installed first. A copy of GMP can be obtained from http://gmplib.org/. In order for the configure script to find your copy of GMP, you may have tell it where to find it via --with-gmp=PATH, where PATH is the path where GMP was installed:  Installation   ./configure --with-gmp=PATH   Yf necessary, you may combine --with-gmp and --with-gaproot. 5.2 Compiling the nq binary If configure reports no problems, the next step is to start the compilation:  Installation   make   A compiled version of the program named nq is then placed into the directory bin/. The component encodes the operating system and the compiler used. This allows you to compile NQ on several architectures sharing the same files system. If there are any warnings or even fatal error messages during the compilation process, please submit a bug report about that following the instructions in Section 5.4 5.3 Testing After the compilation is finished you can check if the ANU NQ is running properly on your system. Simply type  Installation   make test   This runs some computations and compares their output with the output files in the directory examples. If any errors are reported, please follow the instructions below. 5.4 Feedback If you encounter problems with any of the above steps, please do not hesitate to contact us about this. You can either use the nq issue tracker (https://github.com/gap-system/nq/issues) or contact the GAP support group via mailto:support@gap-system.org. Please make sure to include information about the specific issue you encountered (e.g. steps to reproduce it, the specific error message), your operating system, the compiler you used and also the versions of GAP and this package that were involved. nq-2.5.4/doc/ragged.css0000664000371700037170000000023113441553627016070 0ustar gap-jenkinsgap-jenkins/* times.css Frank Lübeck */ /* Change default CSS to use Times font. */ body { text-align: left; } nq-2.5.4/doc/chap1.html0000664000371700037170000001054013441553627016013 0ustar gap-jenkinsgap-jenkins GAP (nq) - Chapter 1: Introduction
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1 Introduction

This package provides an interface between GAP 4 and the Australian National University Nilpotent Quotient Program (ANU NQ). The ANU NQ was implemented as part of the author's work towards his PhD at the Australian National University, hence the name of the program. The program takes as input a finite presentation of a group and successively computes factor groups modulo the terms of the lower central series of the group. These factor groups are computed in terms of polycyclic presentations.

The ANU NQ is implemented in the programming language C. The implementation has been developed in a Unix environment and Unix is currently the only operating system supported. It runs on a number of different Unix versions, e.g. Solaris and Linux.

For integer matrix computations it relies on the GNU MP [GMP] package and requires this package to be installed on your system.

This package relies on the functionality for polycyclic groups provided by the GAP package polycyclic [EN02] and requires the package polycyclic to be installed as a GAP package on your computer system.

Comments, bug reports and suggestions are very welcome, please submit them via our issue tracker.

This manual contains references to parts of the GAP Reference Manual which are typeset in a slightly idiosyncratic way. The following example shows how such references are printed: 'For further information on creating a free group see FreeGroup (Reference: FreeGroup).' The text in bold face refers to the GAP Reference Manual.

Each item in the list of references at the end of this manual is followed by a list of numbers that specify the pages of the manual where the reference occurs.

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5 Installation of the Package

Installation of the ANU NQ is done in two steps.

5.1 Configuring for compilation

First the configure script is run:

 ./configure  

If you installed the package in another "pkg" directory than the standard "pkg" directory in your GAP 4 installation, then you have to do two things. Firstly during compilation you have to use the option --with-gaproot=PATH of the configure script where "PATH" is a path to the main GAP root directory (if not given the default "../.." is assumed). That is, run

 ./configure --with-gaproot=PATH 

Secondly you have to specify the path to the directory containing your "pkg" directory to GAP's list of directories. This can be done by starting GAP with the "-l" command line option followed by the name of the directory and a semicolon. Then your directory is prepended to the list of directories searched. Otherwise the package is not found by GAP. Of course, you can add this option to your GAP startup script.

Another issue that can occur when running configure is that it may fail to locate the the GNU multiple precision library (GMP [GMP]) which ANU NQ requires to work. This library is also used by GAP and hence normally should be available on your system anyway. But if this is not the case for some reason, it has to be installed first. A copy of GMP can be obtained from http://gmplib.org/.

In order for the configure script to find your copy of GMP, you may have tell it where to find it via --with-gmp=PATH, where "PATH" is the path where GMP was installed:

 ./configure --with-gmp=PATH 

Yf necessary, you may combine --with-gmp and --with-gaproot.

5.2 Compiling the nq binary

If configure reports no problems, the next step is to start the compilation:

 make 

A compiled version of the program named nq is then placed into the directory bin/<complicated name>. The <complicated name> component encodes the operating system and the compiler used. This allows you to compile NQ on several architectures sharing the same files system.

If there are any warnings or even fatal error messages during the compilation process, please submit a bug report about that following the instructions in Section 5.4

5.3 Testing

After the compilation is finished you can check if the ANU NQ is running properly on your system. Simply type

 make test 

This runs some computations and compares their output with the output files in the directory examples. If any errors are reported, please follow the instructions below.

5.4 Feedback

If you encounter problems with any of the above steps, please do not hesitate to contact us about this. You can either use the nq issue tracker or contact the GAP support group via support@gap-system.org. Please make sure to include information about the specific issue you encountered (e.g. steps to reproduce it, the specific error message), your operating system, the compiler you used and also the versions of GAP and this package that were involved.

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nq-2.5.4/doc/chapA.txt0000664000371700037170000003022313441553627015706 0ustar gap-jenkinsgap-jenkins A The nq command line interface A.1 How to use the ANU NQ If you start the ANU NQ by typing  interactive   nq -X  you will get the following message:  interactive   unknown option: -X  usage: nq [-a] [-M] [-d] [-g] [-v] [-s] [-f] [-c] [-m]  [-t ] [-l ] [-r ] [-n ] [-e ]  [-y] [-o] [-p] [-E] [] []  All parameters in square brackets are optional. The parameter has to be the name of a file that contains a finite group presentation for which a nilpotent quotient is to be calculated. This file name must not start with a digit. If it is not present, nq will read the presentation from standard input. The parameter restricts the computation of the nilpotent quotient to at most that (nilpotency) class, i.e. the program calculates the quotient group of the (c+1)-th term of the lower central series. If is omitted, the program computes successively the factor groups of the lower central series of the given group. If there is a largest nilpotent quotient, i.e., if the lower central series becomes constant, the program will eventually terminate with the largest nilpotent quotient. If there is no largest nilpotent quotient, the program will run forever (or more precisely will run out of resources). On termination the program prints a nilpotent presentation for the nilpotent quotient it has computed. The options -l, -r and -e can be used to enforce Engel conditions on the nilpotent quotient to be calculated. All these options have to be followed by a positive integer . Their meaning is the following: -n  This option forces the first k generators to be left or right Engel element if also the option -l or -r (or both) is present. Otherwise it is ignored. -l  This forces the first k generators g_1,...,g_k of the nilpotent quotient Q to be left n-Engel elements, i.e., they satisfy [x,...,x,g_i] = 1 (x occurring n-times) for all x in Q and 1 <= i <= k. If the option -n is not used, then k = 1. -r  This forces the first k generators g_1,...,g_k of the nilpotent quotient Q to be right n-Engel elements,i.e., they satisfy [g_i,x,..,x] = 1 (x occurring n-times) for all x in Q and 1 <= i <= k. If the option -n is not used, then k = 1. -e  This enforces the n-th Engel law on Q, i.e., [x,y,..,y] = 1 (y occurring n-times) for all x,y in Q. -t  This option specifies how much CPU time the program is allowed to use. It will terminate after seconds of CPU time. If is followed (without space) by one of the letters m, h or d, specifies the time in minutes, hours or days, respectively. The other options have the following meaning. Care has to be taken when the options -s or -c are used since the resulting nilpotent quotient need NOT satisfy the required Engel condition. The reason for this is that a smaller set of test words is used if one of these two options are present. Although this smaller set of test words seems to be sufficient to enforce the required Engel condition, this fact has not been proven. -a For each factor of the lower central series a file is created in the current directory that contains an integer matrix describing the factor as abelian group. The first number in that file is the number of columns of the matrix. Then the matrix follows in row major order. The matrix for the i-th factor is put into the file .abinv.. -p toggles printing of the pc presentation for the nilpotent quotient at the end of a calculation. -s This option causes the program to check only semigroup words in the generating set of the nilpotent quotient when an Engel condition is enforced. If none of the options -l, -r or -e are present, it is ignored. -f This option causes to check semiwords in the generating set of the nilpotent quotient first and then all other words that need to be checked. It is ignored if the option -s is used or none of the options -l, -r or -e are present. -c This option stops checking the Engel law at each class if all the checks of a certain weight did not yield any non-trivial instances of the law. -d Switch on debug mode and perform checks during the computation. Not yet implemented. -o In checking Engel identities, instances are process in the order of increased weight. This flag reverses the order. -y Enforce the identities x^8 and [ [x1,x2,x3], [x4,x5,x6] ] on the nilpotent quotient. -v Switch on verbose mode. -g Produce GAP output. Presently the GAP output consists only of a sequence of integer matrices whose rows are relations of the factors of the lower central series as abelian groups. This will change as soon as GAP can handle infinite polycyclic groups. -E the *last* n generators are Engel generators. This works in conjunction with option -n. -m output the relation matrix for each factor of the lower central series. The matrices are written to files with the names 'matrix.' where is replaced by the number of the factor in the lower central series. Each file contains first the number of columns of the matrix and then the rows of the matrix. The matrix is written as each relation is produced and is not in upper triangular form. -M output the relation matrix before and after relations have been enforced. This results in two groups of files with names '.nilp.' and '.mult.' where is the name of the input files and is the class. The matrices are in upper triangular form. A.2 The input format for presentations The input format for finite presentations resembles the way many people write down a presentation on paper. Here are some examples of presentations that the ANU NQ accepts: < a, b | > # free group of rank 2 < a, b, c | [a,b,c], # a left normed commutator [b,c,c,c]^6, # another one raised to a power a^2 = c^-3*a^2*c^3, # a relation a^(b*c) = a, # a conjugate relation (a*[b,(a*c)])^6 # something that looks complicated > A presentation starts with '<' followed be a list of generators separated by commas. Generator names are strings that contain only upper and lower case letters, digits, dots and underscores and that do not start with a digit. The list of generator names is separated from the list of relators/relations by the symbol '|'. Relators and relations are separated by commas and can be mixed arbitrarily. Parentheses can be used in order to group subexpressions together. Square brackets can be used in order to form left normed commutators. The symbols '*' and '^' can be used to form products and powers, respectively. The presentation finishes with the symbol '>'. A comment starts with the symbol '#' and finishes at the end of the line. The file src/presentation.c contains a complete grammar for the presentations accepted by the ANU NQ. A.3 An example Let G be the free group on two generators x and y. The input file (called free2.fp here) contains the following: < x, y | > Computing the class 3 quotient with the ANU NQ by typing nq free2.fp 3 produces the following output: # # The ANU Nilpotent Quotient Program (Version 2.3) # Calculating a nilpotent quotient # Input: free2.fp # Nilpotency class: 3 # Program: nq # Size of exponents: 8 bytes # # Calculating the abelian quotient ... # The abelian quotient has 2 generators # with the following exponents: 0 0 # # Calculating the class 2 quotient ... ## Sizes: 2 3 # Layer 2 of the lower central series has 1 generators # with the following exponents: 0 # # Calculating the class 3 quotient ... ## Sizes: 2 3 5 # Layer 3 of the lower central series has 2 generators # with the following exponents: 0 0 # # The epimorphism : # x |---> A # y |---> B # The nilpotent quotient : # Class : 3 # Nr of generators of each class : 2 1 2 # The definitions: # C := [ B, A ] # D := [ B, A, A ] # E := [ B, A, B ] # total runtime : 1 msec # total size : 0 byte ## Total time spent on integer matrices: 0 Most of the comments are fairly self-explanatory. One note of caution is necessary: The number of generators for each factor of the lower central series is not the minimal number possible but is the number of generators that the ANU NQ chose to use. This will be improved in one of the future version of the program. The epimorphism from the original group onto the nilpotent quotient is printed in a somewhat confusing way. The generators on the left hand side of the arrows correspond to the generators in the original presentation but are printed with different names. This will be fixed in one of the next version. A.4 Some remarks about the algorithm The implementation of the algorithm is fairly straight forward. The program uses a weighted nilpotent presentation with definitions to represent a nilpotent group. Calculations in the nilpotent group are done using a collector from the left without combinatorial collection. Generators for the c-th lower central factor are defined as commutators of the form [y,x], where x is a generator of weight 1 and y is a generator of weight c-1. Then the program calculates the necessary changes (tails) for all relations which are not definitions, runs through the consistency check and evaluates the original relations on the polycyclic presentation. This gives a list of words, which have to be made trivial in order to obtain a consistent polycyclic presentation representing a nilpotent quotient of the given finitely presented group. This list is converted into a integer matrix, which is transformed into upper triangular form using the Kannan-Bachem algorithm. The GNU multiple precision package is used for this. nq-2.5.4/doc/chapInd_mj.html0000664000371700037170000001370413441553627017060 0ustar gap-jenkinsgap-jenkins GAP (nq) - Index
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Index

nq .-3
class 2.2
commutator 2.1
commutator relation 2.3
consistent 2.3
EvaluateExpTree 3.2-2
expression trees 2.6
ExpressionTrees 3.2-1 3.2-1
identical generator 2.5
identical relation 2.5
law 2.5
left Engel element 2.5
left-normed commutator 2.1
License .-1
lower central series 2.1
LowerCentralFactors 3.1-4
nilpotency class 2.2
nilpotent 2.2
nilpotent presentation 2.3
Nilpotent Quotient Package 3.
NilpotentEngelQuotient 3.1-2 3.1-2
NilpotentQuotient 3.1-1 3.1-1
NqDefaultOptions 3.4-2
NqElementaryDivisors 3.3-4
NqEpimorphismNilpotentQuotient 3.1-3
NqGlobalVariables 3.4-3
NqReadOutput 3.3-1
NqRuntime 3.4-1
NqStringExpTrees 3.3-3
NqStringFpGroup 3.3-2
options 3.1-1
    class 3.1-1
    group 3.1-1
    idgens 3.1-1
    input\_file 3.1-1
    input\_string 3.1-1
    ouput\_file 3.1-1
polycyclic 2.2
polycyclic generating sequence 2.2
polycyclic presentation 2.3
power relation 2.3
right Engel element 2.5

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nq-2.5.4/tst/nq.tst0000664000371700037170000001177113441553627015357 0ustar gap-jenkinsgap-jenkinsgap> START_TEST("nq.tst"); gap> gap> ################################################ gap> # gap> ################################################ gap> G := FreeGroup( 2 );; gap> H := NilpotentQuotient( G, 10 );; gap> ForAll( RelativeOrders(Collector(H)), IsZero ); true gap> List( LowerCentralSeries( H ), HirschLength ); [ 226, 224, 223, 221, 218, 212, 203, 185, 155, 99, 0 ] gap> gap> ################################################ gap> # gap> ################################################ gap> G := FreeGroup( 3 );; gap> H := NilpotentQuotient( G, 7 );; gap> ForAll( RelativeOrders(Collector(H)), IsZero ); true gap> List( LowerCentralSeries( H ), HirschLength ); [ 508, 505, 502, 494, 476, 428, 312, 0 ] gap> gap> # Helper function gap> AbelianInvariantsAlongLowerCentralSeries := function (H) > local lcs, i; > lcs := LowerCentralSeries( H );; > for i in [1..Length(lcs)-1] do > Print( AbelianInvariants( lcs[i] / lcs[i+1] ), "\n" ); > od; > end;; gap> gap> gap> ################################################ gap> # examples/G1 gap> ################################################ gap> gap> G := FreeGroup( 2 );; gap> G := G / [ LeftNormedComm([ G.2, G.1, G.1 ]), > LeftNormedComm([ G.1, G.2, G.2, G.2, G.2, G.2 ]), > LeftNormedComm([ G.2, G.1, G.2, G.2, G.2, G.1, G.2, G.2, G.1, G.1 ]) ];; gap> H := NilpotentQuotient( G, 11 ); Pcp-group with orders [ 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 5, 2, 2, 2, 3, 0, 5, 5, 2, 2, 2, 2, 3, 0, 5, 5, 2, 2, 2, 2, 2, 2, 3, 0, 0, 5, 5, 5 ] gap> AbelianInvariantsAlongLowerCentralSeries( H ); [ 0, 0 ] [ 0 ] [ 0 ] [ 0 ] [ 0, 0 ] [ 0 ] [ 0, 0 ] [ 0, 2, 5 ] [ 0, 2, 2, 3, 5, 5 ] [ 0, 2, 2, 2, 3, 5, 5 ] [ 0, 0, 2, 2, 2, 2, 3, 5, 5, 5 ] gap> gap> gap> gap> ################################################ gap> # examples/G2 gap> ################################################ gap> gap> G := FreeGroup( 2 );; gap> G := G / [ LeftNormedComm([ G.2, G.1, G.1 ]), > LeftNormedComm([ G.1, G.2, G.2, G.2, G.2 ]) ];; gap> H := NilpotentQuotient( G ); Pcp-group with orders [ 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2 ] gap> AbelianInvariantsAlongLowerCentralSeries( H ); [ 0, 0 ] [ 0 ] [ 0 ] [ 0 ] [ 0 ] [ 2 ] [ 2, 2 ] [ 2, 2 ] [ 2, 2 ] [ 2 ] gap> gap> ################################################ gap> # examples/G3 gap> ################################################ gap> G := FreeGroup( 3 );; gap> G := G / [ LeftNormedComm([ G.2, G.1, G.1 ]), > LeftNormedComm([ G.1, G.2, G.2 ]), > LeftNormedComm([ G.3, G.1 ]), > LeftNormedComm([ G.3, G.2, G.2 ]), > LeftNormedComm([ G.2, G.3, G.3 ]) ];; gap> H := NilpotentQuotient( G, 15 ); Pcp-group with orders [ 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ] gap> AbelianInvariantsAlongLowerCentralSeries( H ); [ 0, 0, 0 ] [ 0, 0 ] [ 0 ] [ 2 ] [ 2, 2 ] [ 2 ] [ 2 ] [ 2 ] [ 2 ] [ 2 ] [ 2 ] [ 2 ] [ 2 ] [ 2 ] [ 2 ] gap> gap> ################################################ gap> # example/G4 gap> ################################################ gap> G := FreeGroup( 4 );; gap> G := G / [ LeftNormedComm([ G.2, G.1, G.1 ]), > LeftNormedComm([ G.1, G.2, G.2 ]), > LeftNormedComm([ G.3, G.1 ]), > LeftNormedComm([ G.4, G.1 ]), > LeftNormedComm([ G.3, G.2, G.2 ]), > LeftNormedComm([ G.2, G.3, G.3, G.3 ]), > LeftNormedComm([ G.4, G.2 ]), > LeftNormedComm([ G.4, G.3, G.3 ]), > LeftNormedComm([ G.3, G.4, G.4 ]), > LeftNormedComm([ G.3, G.2, G.1, G.2 ]), > ];; gap> H := NilpotentQuotient( G, 8 ); Pcp-group with orders [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 0, 2, 2, 3, 3, 0, 6, 2, 2, 2, 3, 3, 6, 2, 3, 6, 2, 2, 2, 2, 3, 3, 3, 2, 2, 3, 3, 6, 2 ] gap> AbelianInvariantsAlongLowerCentralSeries( H ); [ 0, 0, 0, 0 ] [ 0, 0, 0 ] [ 0, 0, 0 ] [ 0, 0, 0 ] [ 0, 0, 2, 3 ] [ 0, 2, 2, 2, 3, 3, 3 ] [ 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3 ] [ 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3 ] gap> gap> ################################################ gap> # examples/G5 gap> ################################################ gap> G := FreeGroup( 3 );; gap> G := G / [ LeftNormedComm([ G.2, G.1, G.1, G.1 ]), > LeftNormedComm([ G.1, G.2, G.2 ]), > LeftNormedComm([ G.3, G.1 ]), > LeftNormedComm([ G.3, G.2, G.2, G.2 ]), > LeftNormedComm([ G.2, G.3, G.3 ]), > LeftNormedComm([ G.3, G.2, G.1, G.2, G.3 ]), > ];; gap> H := NilpotentQuotient( G, 10 ); Pcp-group with orders [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 3, 3, 2, 2, 0, 0, 3, 3, 3, 2, 2, 2, 2, 0, 0, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 5, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ] gap> AbelianInvariantsAlongLowerCentralSeries( H ); [ 0, 0, 0 ] [ 0, 0 ] [ 0, 0, 0 ] [ 0, 0 ] [ 0, 0, 3 ] [ 0, 0, 3, 3 ] [ 0, 0, 2, 2, 3, 3, 3, 3 ] [ 0, 2, 2, 2, 2, 3, 3, 3, 3, 9 ] [ 0, 2, 2, 3, 3, 3, 3, 3, 3, 3, 5, 9 ] [ 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 9, 9 ] gap> gap> STOP_TEST( "nq.tst", 10000000); nq-2.5.4/tst/testall.g0000664000371700037170000000016313441553627016016 0ustar gap-jenkinsgap-jenkinsLoadPackage("nq"); TestDirectory(DirectoriesPackageLibrary("nq", "tst"), rec(exitGAP := true)); FORCE_QUIT_GAP(1); nq-2.5.4/src/time.h0000664000371700037170000000063013441553627015261 0ustar gap-jenkinsgap-jenkins/***************************************************************************** ** ** time.h NQ Werner Nickel ** nickel@mathematik.tu-darmstadt.de */ #ifndef TIME_H #define TIME_H extern int CombiCollectionTime; extern int SimpleCollectionTime; extern int IntMatTime; extern void PrintCollectionTimes(void); #endif nq-2.5.4/src/pc.h0000664000371700037170000000650013441553627014727 0ustar gap-jenkinsgap-jenkins/***************************************************************************** ** ** pc.h NQ Werner Nickel ** nickel@mathematik.tu-darmstadt.de */ #ifndef PC_H #define PC_H #include #include "genexp.h" /* ** This variable switches the Debug mode on. */ extern int Debug; /* ** A polycyclic presentation has several components which are defined ** in pc.c. ** ** NrPcGens: This variable contains the number of generators in the ** pc-presentation minus the number of central generators, ** that were defined in the last step. ** Commute: This seems to be the most difficult data structure because ** its entries are difficult to compute. `Commute[i]' is the ** first generator for which the collector from the left has ** to do something when the i-th generator is moved to its ** correct place. In other words, the collector starts at ** `Commute[i]' in the exponent vector when the i-th generator ** is moved to its place. The length of `Commute' is `NrPcGens'+1. ** CommuteList: This array holds a list of different versions of ** Commute[]. They are used for fast evaluation of iterated ** commutators, as for example Engel conditions. CommuteList[c] ** is Commute[] as if the current group had class c. ** Exponent: This array containes the exponents for the power relation ** of each generator. If the generator i does not have a power ** relation, `Exponents[i]' is zero. The length of `Exponents' ** is `NrPcGens'+1. ** Power: This array contains the right hand sides of the power ** relation. If a generator does not have a power relation, the ** corresponding entry in `Powers' is a null pointer. ** Conjugate: This 2-dimensional array contains the right hand sides ** of the conjugate relations for each pair (j,i) of generators ** with j > i. */ extern int NrPcGens; extern int NrCenGens; extern int IsFinite; extern int IsWeighted; extern int Class; extern gen *Commute; extern gen *Commute2; extern gen **CommuteList; extern gen **Commute2List; extern int *NrPcGensList; extern expo *Exponent; extern word *Power; extern word **Conjugate; extern char **PcGenName; extern int *Weight; #define Wt(x) Weight[(x)] /* ** Some generators have definitions in terms of earlier generators. ** If a generator is defined by a commutator of two earlier generators ** g and h, then the two components of its definition contain these two ** generators. ** If a generator is defined by a power of a generator h, ** then the first component of its definition contains this generator ** and the second component is zero. ** If a generator is defined as an image of a generator of the original ** finite presentation, the first component is the negative of the ** number of that generator and the second component is zero. */ struct def { gen h; gen g; }; typedef struct def def; extern def *Definition; extern void InitPcPres(void); extern void ExtPcPres(void); extern void PrintPcPres(void); extern void PrintDefs(void); #endif nq-2.5.4/src/collect.c0000664000371700037170000002245113441553627015750 0ustar gap-jenkinsgap-jenkins/***************************************************************************** ** ** collect.c NQ Werner Nickel ** nickel@mathematik.tu-darmstadt.de */ #include "config.h" #include "mem.h" #include "pc.h" #include "pcarith.h" #include "macro.h" #include "collect.h" #include "time.h" #include "system.h" int UseSimpleCollector = 0; int UseCombiCollector = 0; static int Error(const char *str, gen g) { printf("Error in Collect() while treating generator %d:\n", (int)g); printf(" %s\n", str); SimpleCollectionTime += RunTime(); /* exit( 7 );*/ return 7; } /* ** Collection from the left needs 4 stacks during the collection. ** ** The word stack containes conjugates of generators, that were created ** by moving a generator through the exponent vector to its correct ** place or it containes powers of generators. ** The word exponent stack containes the exponent of the corresponding ** word in the word stack. ** The generator stack containes the current position in the corresponding ** word in the word stack. ** The generator exponent stack containes the exponent of the generator ** determined by the corrsponding entry in the generator stack. ** ** The maximum number of elements on each stack is determined by the macro ** STACKHEIGHT. */ #define STACKHEIGHT (1 << 16) word WordStack[STACKHEIGHT]; expo WordExpStack[STACKHEIGHT]; word GenStack[STACKHEIGHT]; expo GenExpStack[STACKHEIGHT]; int SimpleCollect(expvec lhs, word rhs, expo e) { word *ws = WordStack; expo *wes = WordExpStack; word *gs = GenStack; expo *ges = GenExpStack; word **C = Conjugate; word *P = Power; gen g, h; gen ag; int sp = 0; SimpleCollectionTime -= RunTime(); ws[ sp ] = rhs; gs[ sp ] = rhs; wes[ sp ] = e; ges[ sp ] = rhs->e; while (sp >= 0) if ((g = gs[ sp ]->g) != EOW) { ag = abs(g); if (g < 0 && Exponent[-g] != (expo)0) return Error("Inverse of a generator with power relation", ag); e = (ag == Commute[ag]) ? gs[ sp ]->e : (expo)1; if ((ges[ sp ] -= e) == (expo)0) { /* The power of the generator g will have been moved completely to its correct position after this collection step. Therefore advance the generator pointer. */ gs[ sp ]++; ges[ sp ] = gs[ sp ]->e; } /* Now move the generator g to its correct position in the exponent vector lhs. */ for (h = Commute[ag]; h > ag; h--) if (lhs[h] != (expo)0) { if (++sp == STACKHEIGHT) return Error("Out of stack space", ag); if (lhs[ h ] > (expo)0) { gs[ sp ] = ws[ sp ] = C[ h ][ g ]; wes[ sp ] = lhs[h]; lhs[ h ] = (expo)0; ges[ sp ] = gs[ sp ]->e; } else { gs[ sp ] = ws[ sp ] = C[ -h ][ g ]; wes[ sp ] = -lhs[h]; lhs[ h ] = (expo)0; ges[ sp ] = gs[ sp ]->e; } } lhs[ ag ] += e * sgn(g); if (((lhs[ag] << 1) >> 1) != lhs[ag]) return Error("Possible integer overflow", ag); if (Exponent[ag] != (expo)0) while (lhs[ag] >= Exponent[ag]) { if ((rhs = P[ ag ]) != (word)0) { if (++sp == STACKHEIGHT) return Error("Out of stack space", ag); gs[ sp ] = ws[ sp ] = rhs; wes[ sp ] = (expo)1; ges[ sp ] = gs[ sp ]->e; } lhs[ ag ] -= Exponent[ ag ]; if (((lhs[ag] << 1) >> 1) != lhs[ag]) return Error("Possible integer overflow", ag); } } else { /* the top word on the stack has been examined completely, now check if its exponent is zero. */ if (--wes[ sp ] == (expo)0) { /* All powers of this word have been treated, so we have to move down in the stack. */ sp--; } else { gs[ sp ] = ws[ sp ]; ges[ sp ] = gs[ sp ]->e; } } SimpleCollectionTime += RunTime(); return 0; } int Collect(expvec lhs, word rhs, expo e) { int ret, storeClass; int i; expvec lhs2; storeClass = Class; if (Class < 0) Class = 0; Commute = CommuteList[ Class + 1 ]; Commute2 = Commute2List[ Class + 1 ]; if (UseSimpleCollector && UseCombiCollector) { lhs2 = (expvec)Allocate((NrPcGens + NrCenGens + 1) * sizeof(expo)); memcpy(lhs2, lhs, (NrPcGens + NrCenGens + 1) * sizeof(expo)); ret = SimpleCollect(lhs, rhs, e); CombiCollect(lhs2, rhs, e); if (memcmp(lhs, lhs2, (NrPcGens + NrCenGens + 1) * sizeof(expo)) != 0) { for (i = 1; i <= NrPcGens + NrCenGens; i++) if (lhs[i] != lhs2[i]) printf("lhs[%d] = "EXP_FORMAT" lhs2[%d] = "EXP_FORMAT"\n", i, lhs[i], i, lhs2[i]); printf("Collector mismatch\n"); } Free(lhs2); } else if (UseCombiCollector) ret = CombiCollect(lhs, rhs, e); else ret = SimpleCollect(lhs, rhs, e); Class = storeClass; return ret; } /* ** Solve the equation u x = v for x. */ word Solve(word u, word v) { word x; gpower y[2]; gen g; long lv, lx; expo ev; expvec uvec; y[1].g = EOW; y[1].e = (expo)0; uvec = (expvec)calloc((NrPcGens + NrCenGens + 1), sizeof(expo)); if (uvec == (expvec)0) { perror("Solve(), uvec"); exit(2); } x = (word)malloc((NrPcGens + NrCenGens + 1) * sizeof(gpower)); if (x == (word)0) { perror("Solve(), x"); exit(2); } if (Collect(uvec, u, (expo)1)) { Free(x); Free(uvec); return (word)0; } for (lv = lx = 0, g = 1; g <= NrPcGens + NrCenGens; g++) { if (v[lv].g == g) ev = v[ lv++ ].e; else if (v[lv].g == -g) ev = -v[ lv++ ].e; else ev = (expo)0; if (ev != uvec[g]) { if (ev > uvec[g]) { /* ev - uvec[g] > 0 */ y[0].g = x[lx].g = g; y[0].e = x[lx++].e = ev - uvec[g]; } else if (Exponent[g] != (expo)0) { /* ev - uvec[g] < 0 */ y[0].g = x[lx].g = g; y[0].e = x[lx++].e = ev - uvec[g] + Exponent[g]; } else { y[0].g = x[lx].g = -g; y[0].e = x[lx++].e = uvec[g] - ev; } if (Collect(uvec, y, (expo)1)) { Free(x); Free(uvec); return (word)0; } } } Free(uvec); x[lx].g = EOW; x[lx++].e = (expo)0; x = (word)realloc(x, lx * sizeof(gpower)); if (x == (word)0) { perror("Solve(), x (resize)"); exit(2); } return x; } word Invert(word u) { gpower id; id.g = EOW; id.e = (expo)0; return Solve(u, &id); } word Multiply(word u, word v) { expvec ev; word w; ev = (expvec)Allocate((NrPcGens + NrCenGens + 1) * sizeof(expo)); if (Collect(ev, u, (expo)1) || Collect(ev, v, (expo)1)) { Free(ev); return (word)0; } w = WordExpVec(ev); Free(ev); return w; } word Exponentiate(word u, int n) { word v; expvec ev; int copied_u = 0; if (n < 0) { if ((u = Invert(u)) == (word)0) return (word)0; copied_u = 1; n = -n; } ev = (expvec)Allocate((NrPcGens + NrCenGens + 1) * sizeof(expo)); while (n > 0) { if (n % 2) if (Collect(ev, u, (expo)1)) { if (copied_u) Free(u); Free(ev); return (word)0; } n /= 2; if (n > 0) { if ((v = Multiply(u, u)) == (word)0) { if (copied_u) Free(u); Free(ev); return (word)0; } if (copied_u) Free(u); u = v; copied_u = 1; } } if (copied_u) Free(u); u = WordExpVec(ev); Free(ev); return u; } /* ** Solve the equation vu x = uv for x. The solution is the commutator ** [u,v]. ** ** In step i we have to solve the equation v'u' x = u''v''. ** That equation holds for the i-th generator if ** ** v'[i] + u'[i] + x[i] = u''[i] + v''[i] ** ** Hence x[i] = u''[i] + v''[i] - (v'[i] + u'[i]). ** To prepare the (i+1)-th step we need to collect i^x[i] first across ** u' and then across v' on the left hand side of the equation. On the ** right hand side of the equation we need to collect i^v''[i] across ** u''. This has the effect of moving the occurrances of generator i ** to the left on both sides of the equation such that it can be ** cancelled on both sides of the equation. */ word Commutator(word u, word v) { expvec u1, u2, v1, v2, x; gpower y[2]; word w = (word)0; int i; y[0].g = y[1].g = EOW; y[0].e = y[1].e = (expo)0; u1 = ExpVecWord(u); u2 = ExpVecWord(u); v1 = ExpVecWord(v); v2 = ExpVecWord(v); x = ExpVecWord(y); for (i = 1; i <= NrPcGens + NrCenGens; i++) { x[i] = u2[i] + v2[i] - (v1[i] + u1[i]); if (Exponent[i] != (expo)0) { while (x[i] < (expo)0) x[i] += Exponent[i]; if (x[i] >= Exponent[i]) x[i] -= Exponent[i]; } if (x[i] != (expo)0) { if (x[i] > (expo)0) { y[0].g = i; y[0].e = x[i]; } else { y[0].g = -i; y[0].e = -x[i]; } if (Collect(u1, y, (expo)1)) goto exit; } if (u1[i] != (expo)0) { if (u1[i] > (expo)0) { y[0].g = i; y[0].e = u1[i]; } else { y[0].g = -i; y[0].e = -u1[i]; } if (Collect(v1, y, (expo)1)) goto exit; } if (v2[i] != (expo)0) { if (v2[i] > (expo)0) { y[0].g = i; y[0].e = v2[i]; } else { y[0].g = -i; y[0].e = -v2[i]; } if (Collect(u2, y, (expo)1)) goto exit; } } w = WordExpVec(x); exit: Free(u1); Free(u2); Free(v1); Free(v2); Free(x); return w; } #if 0 word Commutator2(word v, word w) { expvec ev; word vw, wv, vwvw; ev = ExpVecWord(v); if (Collect(ev, w, (expo)1)) { Free(ev); return (word)0; } vw = WordExpVec(ev); Free(ev); ev = ExpVecWord(w); if (Collect(ev, v, (expo)1)) { Free(ev); Free(vw); return (word)0; } wv = WordExpVec(ev); Free(ev); vwvw = Solve(wv, vw); Free(vw); Free(wv); return vwvw; } #endif nq-2.5.4/src/config.hin0000664000371700037170000000474513441553627016132 0ustar gap-jenkinsgap-jenkins/* src/config.hin. Generated from configure.ac by autoheader. */ /* Define to 1 if you have the header file. */ #undef HAVE_DLFCN_H /* Define to 1 if you have the `getrusage' function. */ #undef HAVE_GETRUSAGE /* Define to 1 if you have the header file. */ #undef HAVE_INTTYPES_H /* Define to 1 if the system has the type 'long long int'. */ #undef HAVE_LONG_LONG_INT /* Define to 1 if your system has a GNU libc compatible `malloc' function, and to 0 otherwise. */ #undef HAVE_MALLOC /* Define to 1 if you have the header file. */ #undef HAVE_MEMORY_H /* Define to 1 if your system has a GNU libc compatible `realloc' function, and to 0 otherwise. */ #undef HAVE_REALLOC /* Define to 1 if you have the `sbrk' function. */ #undef HAVE_SBRK /* Define to 1 if you have the header file. */ #undef HAVE_STDINT_H /* Define to 1 if you have the header file. */ #undef HAVE_STDLIB_H /* Define to 1 if you have the header file. */ #undef HAVE_STRINGS_H /* Define to 1 if you have the header file. */ #undef HAVE_STRING_H /* Define to 1 if you have the header file. */ #undef HAVE_SYS_STAT_H /* Define to 1 if you have the header file. */ #undef HAVE_SYS_TIME_H /* Define to 1 if you have the header file. */ #undef HAVE_SYS_TYPES_H /* Define to 1 if you have the header file. */ #undef HAVE_UNISTD_H /* Define to 1 if the system has the type 'unsigned long long int'. */ #undef HAVE_UNSIGNED_LONG_LONG_INT /* Define to the sub-directory where libtool stores uninstalled libraries. */ #undef LT_OBJDIR /* Name of package */ #undef PACKAGE /* Define to the address where bug reports for this package should be sent. */ #undef PACKAGE_BUGREPORT /* Define to the full name of this package. */ #undef PACKAGE_NAME /* Define to the full name and version of this package. */ #undef PACKAGE_STRING /* Define to the one symbol short name of this package. */ #undef PACKAGE_TARNAME /* Define to the home page for this package. */ #undef PACKAGE_URL /* Define to the version of this package. */ #undef PACKAGE_VERSION /* The size of `void *', as computed by sizeof. */ #undef SIZEOF_VOID_P /* Define to 1 if you have the ANSI C header files. */ #undef STDC_HEADERS /* Version number of package */ #undef VERSION /* Define to rpl_malloc if the replacement function should be used. */ #undef malloc /* Define to rpl_realloc if the replacement function should be used. */ #undef realloc nq-2.5.4/src/combicol.c0000664000371700037170000001653513441553627016120 0ustar gap-jenkinsgap-jenkins/***************************************************************************** ** ** combicol.c NQ Werner Nickel ** nickel@mathematik.tu-darmstadt.de */ #include "config.h" #include "mem.h" #include "pc.h" #include "pcarith.h" #include "macro.h" #include "collect.h" #include "time.h" #include "system.h" static int Error(const char *str, gen g) { printf("Error in CombiCollect() while treating generator %d:\n", (int)g); printf(" %s\n", str); CombiCollectionTime += RunTime(); /* exit( 7 );*/ return 7; } /* ** Combinatorial Collection from the left uses the same stacks as the plain ** from the left collector. */ extern word WordStack[]; extern expo WordExpStack[]; extern word GenStack[]; extern expo GenExpStack[]; extern word *Generators; int Sp; #define STACKHEIGHT (1 << 16) #define CheckOverflow( n ) \ if( (((n) << 1) >> 1) != n ) Error( "Possible integer overflow", n ) static void AddWord(expvec lhs, word w, expo we); static void ReduceExponent(expvec ev, gen g) { if (ev[ g ] >= Exponent[ g ]) { if (Power[g] != (word)0) AddWord(ev, Power[g], ev[ g ] / Exponent[ g ]); ev[ g ] %= Exponent[ g ]; } } static void StackReduceExponent(expvec ev, gen g) { gen h; if (ev[ g ] >= Exponent[ g ]) { if (Power[ g ] != (word)0) { /* Need to put part of the exponent vector on the stack. */ for (h = Commute[ g ]; h > g; h--) if (ev[ h ] != (expo)0) { if (++Sp == STACKHEIGHT) { Error("Out of stack space", g); return; } if (ev[ h ] > (expo)0) { WordStack[ Sp ] = Generators[ h ]; WordExpStack[ Sp ] = 1; GenExpStack[ Sp ] = ev[ h ]; } else { WordStack[ Sp ] = Generators[ -h ]; WordExpStack[ Sp ] = 1; GenExpStack[ Sp ] = -ev[ h ]; } ev[ h ] = (expo)0; GenStack[ Sp ] = WordStack[ Sp ]; #if 0 GenStack[ Sp ]->e; /* FIXME: statement with no effect */ #endif } AddWord(ev, Power[ g ], ev[ g ] / Exponent[ g ]); } ev[ g ] %= Exponent[ g ]; } } static void AddWord(expvec lhs, word w, expo we) { gen g; for (; w->g != EOW && w->g <= NrPcGensList[Class + 1]; w++) { if (w->g > (gen)0) { g = w->g; lhs[ g ] += we * w->e; } else { g = -w->g; lhs[ g ] -= we * w->e; } CheckOverflow(lhs[ g ]); if (Exponent[ g ] != (expo)0) ReduceExponent(lhs, g); } } int CombiCollect(expvec lhs, word rhs, expo e) { word *ws = WordStack; expo *wes = WordExpStack; word *gs = GenStack; expo *ges = GenExpStack; word **C = Conjugate; word *P = Power; word w; gen ag, g, h, hh; CombiCollectionTime -= RunTime(); Sp = 0; ws[ Sp ] = rhs; gs[ Sp ] = rhs; wes[ Sp ] = e; ges[ Sp ] = rhs->e; while (Sp >= 0) if ((g = gs[ Sp ]->g) != EOW && g <= NrPcGensList[Class + 1]) { ag = abs(g); if (g < 0 && Exponent[-g] != (expo)0) return Error("Inverse of a generator with power relation", ag); if (Commute[ag] == ag) { /* Take the exponent of the first generator from the stack not from the word. Both are identical if the word is a conjugate. They differ if a generator-exponent pair was pushed onto the stack. In that case w->e is 1 and ges[ Sp ] is the exponent. */ w = gs[ Sp ]; if (w->g > (gen)0) { g = w->g; lhs[ g ] += ges[ Sp ]; } else { g = -w->g; lhs[ g ] -= ges[ Sp ]; } CheckOverflow(lhs[ g ]); if (Exponent[ g ] != (expo)0) ReduceExponent(lhs, g); for (w++; w->g != EOW && w->g <= NrPcGensList[Class + 1]; w++) { if (w->g > (gen)0) { g = w->g; lhs[ g ] += w->e; } else { g = -w->g; lhs[ g ] -= w->e; } CheckOverflow(lhs[ g ]); if (Exponent[ g ] != (expo)0) ReduceExponent(lhs, g); } gs[ Sp ] = w; continue; } else if (3 * Wt(ag) > Class + 1) { /* Move the generator g to its correct position in the exponent vector without stacking conjugates. Because of the class condition we can add the necessary *commutators* into the exponent vector. */ for (h = Commute[ ag ]; h > ag; h--) if (lhs[ h ] != (expo)0) { if (lhs[ h ] > (expo)0) AddWord(lhs, C[ h ][ g ] + 1, lhs[ h ] * ges[ Sp ]); else AddWord(lhs, C[ -h ][ g ] + 1, -lhs[ h ] * ges[ Sp ]); } lhs[ ag ] += sgn(g) * ges[ Sp ]; CheckOverflow(lhs[ ag ]); gs[ Sp ]++; ges[ Sp ] = gs[ Sp ]->e; if (Exponent[ ag ] != (expo)0) StackReduceExponent(lhs, ag); continue; } else { lhs[ ag ] += sgn(g); if (--ges[ Sp ] == (expo)0) { /* The power of the generator g will have been moved completely to its correct position after this collection step. Therefore advance the generator pointer. */ gs[ Sp ]++; ges[ Sp ] = gs[ Sp ]->e; } /* Add in commutators until Wt([h,g,h]) <= Class+1 */ for (h = Commute[ ag ]; h > Commute2[ ag ]; h--) if (lhs[ h ] != (expo)0) { if (lhs[ h ] > (expo)0) AddWord(lhs, C[ h ][ g ] + 1, lhs[ h ]); else AddWord(lhs, C[ -h ][ g ] + 1, -lhs[ h ]); } /* If we still have to move across generators, then we have to put generators onto the stack. Find the point from where collection has to happen. */ while (h > ag) { if (lhs[ h ] != (expo)0 && C[h][ag] != (word)0 && (C[h][ag] + 1)->g != EOW) break; h--; } /* Now put generator exponent pairs on the stack. */ if (h > ag || (Exponent[ ag ] > (expo)0 && lhs[ ag ] >= Exponent[ ag ] && Power[ ag ] != (word)0)) { for (hh = Commute[ag]; hh > h; hh--) if (lhs[ hh ] != (expo)0) { if (++Sp == STACKHEIGHT) return Error("Out of stack space", ag); if (lhs[ hh ] > (expo)0) { gs[ Sp ] = ws[ Sp ] = Generators[ hh ]; wes[ Sp ] = 1; ges[ Sp ] = lhs[ hh ]; } else { gs[ Sp ] = ws[ Sp ] = Generators[ -hh ]; wes[ Sp ] = 1; ges[ Sp ] = -lhs[ hh ]; } lhs[hh] = (expo)0; } } /* Now move the generator g to its correct position in the exponent vector lhs. */ for (; h > ag; h--) if (lhs[h] != (expo)0) { if (++Sp == STACKHEIGHT) return Error("Out of stack space", ag); if (lhs[ h ] > (expo)0) { gs[ Sp ] = ws[ Sp ] = C[ h ][ g ]; wes[ Sp ] = lhs[h]; lhs[ h ] = (expo)0; ges[ Sp ] = gs[ Sp ]->e; } else { gs[ Sp ] = ws[ Sp ] = C[ -h ][ g ]; wes[ Sp ] = -lhs[h]; lhs[ h ] = (expo)0; ges[ Sp ] = gs[ Sp ]->e; } } } CheckOverflow(lhs[ag]); if (Exponent[ag] != (expo)0) while (lhs[ag] >= Exponent[ag]) { if ((rhs = P[ ag ]) != (word)0) { if (++Sp == STACKHEIGHT) return Error("Out of stack space", ag); gs[ Sp ] = ws[ Sp ] = rhs; wes[ Sp ] = (expo)1; ges[ Sp ] = gs[ Sp ]->e; } lhs[ ag ] -= Exponent[ ag ]; } } else { /* the top word on the stack has been examined completely, now check if its exponent is zero. */ if (--wes[ Sp ] == (expo)0) { /* All powers of this word have been treated, so we have to move down the stack. */ Sp--; } else { gs[ Sp ] = ws[ Sp ]; ges[ Sp ] = gs[ Sp ]->e; } } CombiCollectionTime += RunTime(); return 0; } nq-2.5.4/src/presentation.c0000664000371700037170000006306413441553627017043 0ustar gap-jenkinsgap-jenkins/**************************************************************************** ** ** presentation.c Presentation Werner Nickel ** nickel@mathematik.tu-darmstadt.de */ #include "config.h" #include "presentation.h" #include "pcarith.h" static node *Word(void); /* ** ------------------------ GENERAL PURPOSE ------------------------- ** The first part of this file just contain some auxiliary functions. */ /* ** FreeNode() recursively frees a given node. */ void FreeNode(node *n) { if (n->type != TGEN && n->type != TNUM) { FreeNode(n->cont.op.l); FreeNode(n->cont.op.r); } Free(n); } /* ** GetNode() allocates space for a node of given type. */ static node *GetNode(EvalType type) { node *n; n = (node *)Allocate(sizeof(node)); n->type = type; return n; } /* ** GenNumber() maintains the array GenNames[] of generator names which ** have been read so far. GenNumber() is called from the parser in order ** to create a new generator or to look up an existing one. The generator ** name is communicated to GenNumber() through the variable gname. ** ** If GenNumber() is called with the flag CREATE it checks if the generator ** name in gname has not occurred before and, if not, creates a new entry ** and returns the new generator number. If the name had occurred before ** the illegal generator number 0 is returned. ** ** If GenNumber() is called with the flag NOCREATE it searches for the ** generator name and returns the corresponding number if a matching entry ** in GenNames[] is found. If no matching entry is found, the illegal ** generator number 0 is returned. */ static char **GenNames; static unsigned NrGens = 0; #define NOCREATE 0 #define CREATE 1 static gen GenNumber(char *gname, int status) { unsigned i; if (status == CREATE && NrGens == 0) /* Initialize GenNames[]. */ GenNames = (char **)Allocate(128 * sizeof(char*)); for (i = 1; i <= NrGens; i++) /* Find the generator name. */ if (strcmp(gname, GenNames[i]) == 0) { if (status == CREATE) return (gen)0; return (gen)i; } /* It's a new generator. */ if (status == NOCREATE) return (gen)0; NrGens++; if (NrGens % 128 == 0) GenNames = (char **)ReAllocate((void *)GenNames, (NrGens + 128) * sizeof(char *)); i = strlen(gname); GenNames[ NrGens ] = (char *)Allocate((i + 1) * sizeof(char)); strcpy(GenNames[NrGens], gname); return NrGens; } /* ** GenName() is the inverse function for GenNumber(). It returns the ** name of a generator given by its number. */ const char *GenName(gen g) { if (g > (gen)NrGens) return 0; return GenNames[g]; } /* ** ------------------------- SCANNER --------------------------- ** The second part of this file contains the scanner. The parser ** starts after the function Generator(). */ /* ** The following macros define tokens. */ typedef enum { LPAREN, RPAREN, LBRACK, RBRACK, LBRACE, RBRACE, MULT, POWER, EQUAL, DEQUALL, DEQUALR, PLUS, MINUS, LANGLE, RANGLE, PIPE, COMMA, SEMICOLON, NUMBER, GEN } TokenType; static int Ch; /* Contains the next char on the input. */ static TokenType Token; /* Contains the current token. */ static int Line; /* Current line number. */ static int TLine; /* Line number where token starts. */ static int Char; /* Current character number. */ static int TChar; /* Character number where token starts. */ static const char *InFileName; /* Current input file name. */ static const char *OutFileName; /* Current output file name. */ static FILE *InFp; /* Current input file pointer. */ static FILE *OutFp; /* Current output file pointer. */ static int N; /* Contains the integer just read. */ static char Gen[128]; /* Contains the generator name. */ /* static const char *TokenName[] = { "", "LParen", "RParen", "LBrack", "RBrack", "LBrace", "RBrace", "Mult", "Power", "Equal", "DEqualL", "DEqualR", "Plus", "Minus", "LAngle", "RAngle", "Pipe", "Comma", "Number", "Gen" }; */ /* ** SyntaxError() just prints a syntax error and the line and place ** where is occurred and then exits. ** No recovery from syntax errors :-) */ static void SyntaxError(const char *str) { if (str == 0) fprintf(stderr, "%s, line %d, char %d.\n", InFileName, TLine, TChar); else fprintf(stderr, "%s, line %d, char %d: %s.\n", InFileName, TLine, TChar, str); exit(1); } /* ** ReadCh() reads the next character from the current input file. ** At the same time it checks for lines terminated with '\'. Such ** a line is continued in the next line, therefore ReadCh() discards ** '\' and the following '\n'. */ static void ReadCh(void) { Ch = getc(InFp); Char++; if (Ch == '\\') { Ch = getc(InFp); if (Ch == '\n') { Line++; Char = 0; ReadCh(); } else { ungetc(Ch, InFp); Ch = '\\'; } } } /* ** SkipBlanks() skips the characters ' ', '\t' and '\n' as well as ** comments. A comment starts with '#' and finishes at the end of ** the line. */ static void SkipBlanks(void) { /* If Ch is empty, the next character is fetched. */ if (Ch == '\0') ReadCh(); /* First blank characters and comments are skipped. */ while (Ch == ' ' || Ch == '\t' || Ch == '\n' || Ch == '#') { if (Ch == '#') { /* Skip to the end of line. */ while (Ch != '\n') ReadCh(); } if (Ch == '\n') { Line++; Char = 0; } ReadCh(); } } /* ** Number reads a number from the input. */ static void Number(void) { unsigned int m, n = 0, overflow = 0; while (isdigit(Ch)) { m = n; n = 10 * n + (Ch - '0'); if ((n - (Ch - '0')) / 10 != m) { overflow = 1; break; } ReadCh(); } if (overflow) { fprintf(stderr, "Integer overflow reading %u%c", m, Ch); ReadCh(); while (isdigit(Ch)) { fprintf(stderr, "%c", Ch); ReadCh(); } fprintf(stderr, " in\n"); SyntaxError((char *)0); } else if (n >= (1U << (8 * sizeof(unsigned int) - 1))) { fprintf(stderr, "Integer overflow reading %u in\n", n); SyntaxError((char *)0); } N = n; } /* ** Generator() reads characters from the input stream until a non- ** alphanumeric character is encountered. Only the first 127 characters ** are significant as generator name and are copied into the global ** array Gen[]. All other characters are discarded. */ static void Generator(void) { int i; for (i = 0; i < 127 && (isalnum(Ch) || Ch == '_' || Ch == '.'); i++) { Gen[i] = Ch; ReadCh(); } Gen[i] = '\0'; /* Discard the rest. */ while (isalnum(Ch) || Ch == '_' || Ch == '.') ReadCh(); } /* ** NextToken reads the next token from the input stream. It first ** skips all the blank characters and comments. */ static void NextToken(void) { SkipBlanks(); TChar = Char; TLine = Line; switch (Ch) { case '(': { Token = LPAREN; ReadCh(); break; } case ')': { Token = RPAREN; ReadCh(); break; } case '[': { Token = LBRACK; ReadCh(); break; } case ']': { Token = RBRACK; ReadCh(); break; } case '{': { Token = LBRACE; ReadCh(); break; } case '}': { Token = RBRACE; ReadCh(); break; } case '*': { Token = MULT; ReadCh(); break; } case '^': { Token = POWER; ReadCh(); break; } case ':': { ReadCh(); if (Ch != '=') SyntaxError("illegal character"); Token = DEQUALL; ReadCh(); break; } case '=': { ReadCh(); if (Ch != ':') Token = EQUAL; else { Token = DEQUALR; ReadCh(); } break; } case '+': { Token = PLUS; ReadCh(); break; } case '-': { Token = MINUS; ReadCh(); break; } case '<': { Token = LANGLE; ReadCh(); break; } case '>': { Token = RANGLE; ReadCh(); break; } case '|': { Token = PIPE; ReadCh(); break; } case ',': { Token = COMMA; ReadCh(); break; } case ';': { Token = SEMICOLON; ReadCh(); break; } case '0': case '1' : case '2' : case '3' : case '4' : case '5': case '6' : case '7' : case '8' : case '9' : { Token = NUMBER; Number(); break; } default : if (isalnum(Ch) || Ch == '_' || Ch == '.') { Token = GEN; Generator(); break; } else SyntaxError("illegal character"); } /* printf( "# NextToken(): %s\n", TokenName[Token] );*/ } /* ** ------------------------- PARSER ---------------------------- ** Here the third part of this file starts containing the parser. ** ** This is the grammar that defines the syntax of a finite presentation. ** Quoted items (except 'empty') are recognized by the scanner and returned ** as so called tokens. The unquoted symbol | indicates alternatives. ** ** presentation: '<' genlist '|' rellist '>' | ** '<' genlist ; genlist '|' rellist '>' ** ** genlist: 'empty' | genseq ** genseq: 'generator' | 'generator' ',' genseq ** ** rellist: 'empty' | relseq ** relseq: relation | relation ',' relseq ** ** relation: word | word '=' word | word '=:' word | word ':=' word ** ** word: power | power '*' word ** ** power: atom '^' atom | atom '^' snumber | atom ** ** atom: 'generator' | '(' word ')' | commutator ** ** commutator: '[' word ',' wordseq ']' ** wordseq word | word ',' wordseq ** ** snumber: 'sign' 'number' | 'number' */ /* ** InitParser() does exactly what the name suggests. */ static void InitParser(FILE *fp, const char *filename) { InFp = fp; InFileName = filename; Ch = '\0'; Char = 0; Line = 1; NextToken(); } /* ** Snumber() reads a signed number. The defining rule is: ** ** snumber: '+' 'number' | '-' 'number' | 'number' */ static node *Snumber(void) { node *n = 0; if (Token == NUMBER) { n = GetNode(TNUM); n->cont.n = N; NextToken(); } else if (Token == PLUS) { NextToken(); if (Token != NUMBER) SyntaxError("Number expected"); n = GetNode(TNUM); n->cont.n = N; NextToken(); } else if (Token == MINUS) { NextToken(); if (Token != NUMBER) SyntaxError("Number expected"); n = GetNode(TNUM); n->cont.n = -N; NextToken(); } else SyntaxError("Number expected"); return n; } /* ** The defining rules for commutators are: ** ** commutator: '[' word ',' wordseq ']' ** | '[' word ',' 'number' word ] ** wordseq word | word ',' wordseq ** ** A word starts either with 'generator', with '(' or with '['. */ static node *Commutator(void) { node *n, *o; if (Token != LBRACK) SyntaxError("Left square bracket expected"); NextToken(); if (Token != GEN && Token != LPAREN && Token != LBRACK) SyntaxError("Word expected"); o = Word(); if (Token != COMMA) SyntaxError("Comma expected"); while (Token == COMMA) { NextToken(); if (Token != GEN && Token != NUMBER && Token != LPAREN && Token != LBRACK) SyntaxError("Word expected"); if (Token == NUMBER) { /* An Engel relation is on the input stream. */ n = GetNode(TENGEL); n->cont.op.l = o; if (N <= 0) SyntaxError("Engel-n must be positive"); n->cont.op.e = GetNode(TNUM); n->cont.op.e->cont.n = N; NextToken(); n->cont.op.r = Word(); break; } else { n = GetNode(TCOMM); n->cont.op.l = o; n->cont.op.r = Word(); o = n; } } if (Token != RBRACK) SyntaxError("Right square bracket missing"); NextToken(); return n; } /* ** Atom() reads an atom. Note that Atom() creates a generator by ** calling GenNumber(). ** ** The defining rule for atoms is: ** ** atom: 'generator' | '(' word ')' | commutator */ static node *Atom(void) { node *n = 0; if (Token == GEN) { n = GetNode(TGEN); n->cont.g = GenNumber(Gen, NOCREATE); if (n->cont.g == (gen)0) SyntaxError("Unkown generator"); NextToken(); } else if (Token == LPAREN) { NextToken(); n = Word(); if (Token != RPAREN) SyntaxError("Closing parenthesis expected"); NextToken(); } else if (Token == LBRACK) { n = Commutator(); } else { SyntaxError("Generator, left parenthesis or commutator expected"); } return n; } /* ** Power() reads a power. The defining rule is: ** ** power: atom | atom '^' atom | atom '^' snumber | ** */ static node *Power_(void) { node *n, *o; o = Atom(); if (Token == POWER) { NextToken(); if (Token == PLUS || Token == MINUS || Token == NUMBER) { n = o; o = GetNode(TPOW); o->cont.op.l = n; o->cont.op.r = Snumber(); } else { n = o; o = GetNode(TCONJ); o->cont.op.l = n; o->cont.op.r = Atom(); } } return o; } /* ** Word() reads a word. The defining rule is: ** ** word: power | power '*' word ** ** A word starts either with 'generator', with '(' or with '['. */ static node *Word(void) { node *n, *o; o = Power_(); if (Token == MULT) { NextToken(); n = o; o = GetNode(TMULT); o->cont.op.l = n; o->cont.op.r = Word(); } return o; } /* ** Relation() reads a relation. The defining rule is: ** ** relation: word | word '=' word | word '=:' word | word ':=' word ** ** A relation starts either with 'generator', with '(' or with '['. */ static node *Relation(void) { node *n, *o; if (Token != GEN && Token != LPAREN && Token != LBRACK) SyntaxError("relation expected"); o = Word(); if (Token == EQUAL) { NextToken(); n = o; o = GetNode(TREL); o->cont.op.l = n; o->cont.op.r = Word(); } else if (Token == DEQUALL) { NextToken(); n = o; o = GetNode(TDRELL); o->cont.op.l = n; o->cont.op.r = Word(); } else if (Token == DEQUALR) { NextToken(); n = o; o = GetNode(TDRELR); o->cont.op.l = n; o->cont.op.r = Word(); } return o; } /* ** RelList() reads a list of relations. The defining rules are: ** ** rellist: 'empty' | relseq ** relseq: relation | relation ',' relseq ** ** A relation starts either with 'generator', with '(' or with '['. */ static node **RelList(void) { node **rellist; unsigned n = 0; rellist = (node **)Allocate(sizeof(node *)); rellist[0] = (node *)0; if (Token != GEN && Token != LPAREN && Token != LBRACK) return rellist; rellist = (node**)ReAllocate((void *)rellist, 2 * sizeof(node *)); rellist[n++] = Relation(); while (Token == COMMA) { NextToken(); rellist = (node**)ReAllocate((void *)rellist, (n + 2) * sizeof(node *)); rellist[n++] = Relation(); } rellist[n] = (node *)0; return rellist; } /* ** GenList() reads a list of generators. The list of generators may ** consist of abstract generators and identical generators. Identical ** generators are used to specify identical relations. ** ** The defining rules are: ** ** genlist: 'empty' | genseq | genseq ; genseq ** genseq: 'generator' | 'generator' ',' genseq */ static int GenList(void) { int nrgens = 0; if (Token != GEN) return nrgens; nrgens++; if (GenNumber(Gen, CREATE) == (gen)0) SyntaxError("Duplicate generator"); NextToken(); while (Token == COMMA) { NextToken(); if (Token != GEN) SyntaxError("Generator expected"); nrgens++; if (GenNumber(Gen, CREATE) == (gen)0) SyntaxError("Duplicate generator"); NextToken(); } return nrgens; } /* ** The following data structure holds a presentation. */ struct pres { unsigned nragens; /* number of abstract generators */ unsigned nrigens; /* number of identical generators */ unsigned nrrels; /* number of relations */ node **rels; /* pointer to relations */ }; static struct pres Pres; /* ** NumberOfAbstractGens() returns the number of abstract generators. */ int NumberOfAbstractGens(void) { return Pres.nragens; } /* ** NumberOfIdenticalGens() returns the number of identical generators. */ int NumberOfIdenticalGens(void) { return Pres.nrigens; } /* ** NumberOfGens() returns the number of abstract and identical generators. */ int NumberOfGens(void) { return Pres.nragens + Pres.nrigens; } /* ** NumberOfRels() returns the number of relations. */ int NumberOfRels(void) { return Pres.nrrels; } /* ** NextRelation() returns the next relation, if it exists, ** and returns the null pointer otherwise. ** FirstRelation initializes the variable NextRel and calls ** NextRelation(). ** NthRelation() returns the n-th relation, if n is in the ** range [0..NumberOfRels()-1] and the null pointer otherwise. ** CurrentRelation() returns the relation just being processed. */ static int NextRel; node *NextRelation(void) { if (NextRel >= NumberOfRels()) return (node *)0; return Pres.rels[NextRel++]; } node *FirstRelation(void) { NextRel = 0; return NextRelation(); } node *NthRelation(int n) { if (n < 0 || n >= NumberOfRels()) return (node *)0; return Pres.rels[n]; } node *CurrentRelation(void) { return Pres.rels[NextRel - 1]; } /* ** Presentation reads a finite presentation. The syntax of a presentation ** is: ** presentation: '<' genlist '|' rellist '>' | ** '<' genlist ; genlist '|' rellist '>' */ void Presentation(FILE *fp, const char *filename) { InitParser(fp, filename); if (Token != LANGLE) SyntaxError("presentation expected"); NextToken(); if (Token != GEN && Token != PIPE) SyntaxError("generator or vertical bar expected"); Pres.nragens = GenList(); if (Token == SEMICOLON) { NextToken(); Pres.nrigens = GenList(); } else Pres.nrigens = 0; if (Token != PIPE) SyntaxError("vertical bar expected"); NextToken(); Pres.rels = RelList(); Pres.nrrels = 0; while (Pres.rels[Pres.nrrels]) Pres.nrrels++; if (Token != RANGLE) SyntaxError("presentation has to be closed by '>'"); } node *ReadWord(void) { node *n; if (Token != SEMICOLON) n = Word(); else { NextToken(); return ReadWord(); } if (Token != SEMICOLON) SyntaxError("word has to be finished by ';'"); return n; } /* ** ----------------------- EVALUATOR ------------------------ ** The fourth part of this file contains the evaluator. */ static EvalFunc EvalFunctions[TLAST]; void SetEvalFunc(EvalType type, EvalFunc function) { if (type <= TNUM || type >= TLAST) { printf("Evaluation error: illegal type in SetEvalFunc()\n"); exit(1); } EvalFunctions[type] = function; } void *EvalNode(node *n) { void *e, *l, *r; if (n->type == TNUM) return (void *) & (n->cont.n); switch (n->type) { case TGEN: /* TGEN is a unary node. */ return WordGen(n->cont.g); case TCOMM: /* Adjust the class. */ Class--; l = EvalNode(n->cont.op.l); if (l != (void *)0) r = EvalNode(n->cont.op.r); Class++; if (l == (void *)0) return l; if (r == (void *)0) { Free(l); return r; } return WordComm((word)l, (word)r); case TENGEL: /* TENGEL is a ternary node. */ if ((e = EvalNode(n->cont.op.e)) == (void *)0) return e; Class -= *(int *)e; l = EvalNode(n->cont.op.l); if (l != (void *)0) r = EvalNode(n->cont.op.r); Class += *(int *)e; if (l == (void *)0) { Free(e); return l; } if (r == (void *)0) { Free(e); Free(l); return r; } return WordEngel((word)l, (word)r, (int *)e); default: if (EvalFunctions[n->type] == 0) { fprintf(stderr, "No evaluation function for type %d.\n", n->type); exit(5); } if ((l = EvalNode(n->cont.op.l)) == (void *)0) return l; if ((r = EvalNode(n->cont.op.r)) == (void *)0) { Free(l); return r; } return (*EvalFunctions[n->type])((word)l, r); } } static void TraverseNode(node *n, gen *igens) { if (n->type == TNUM) return; if (n->type == TGEN) { if (WordGen(n->cont.g) == (void *)0) igens[ n->cont.g - NumberOfAbstractGens() ] = 1; return; } TraverseNode(n->cont.op.l, igens); TraverseNode(n->cont.op.r, igens); } int NrIdenticalGensNode = 0; gen *IdenticalGenNumberNode = 0; int NumberOfIdenticalGensNode(node *n) { gen g, nr; if (IdenticalGenNumberNode != (gen *)0) Free(IdenticalGenNumberNode); IdenticalGenNumberNode = (gen *)Allocate((NumberOfIdenticalGens() + 1) * sizeof(gen)); TraverseNode(n, IdenticalGenNumberNode); for (nr = 0, g = 1; g <= NumberOfIdenticalGens(); g++) if (IdenticalGenNumberNode[ g ] == 1) IdenticalGenNumberNode[ g ] = ++nr; NrIdenticalGensNode = nr; return nr; } void **EvalRelations(void) { void **results; unsigned r; results = (void **)Allocate((Pres.nrrels + 1) * sizeof(void *)); for (r = 0; r < Pres.nrrels; r++) results[r] = EvalNode(Pres.rels[r]); results[r] = (void *)0; return results; } /* ** ----------------------- PRINTING ------------------------ ** And the last part contains the print functions. */ /* ** PrintNum() prints an integer. */ static void PrintNum(int n) { fprintf(OutFp, "%d", n); } /* ** PrintGen() prints a generator. */ void PrintGen(gen g) { fprintf(OutFp, "%s", GenName(g)); } /* ** PrintComm() prints a commutator using the following rule for ** left normed commutators : ** [[a,b],c] = [a,b,c] */ static void PrintComm(node *l, node *r, int bracket) { if (bracket) fprintf(OutFp, "["); /* If the left operand is a commutator, don't print its brackets. */ if (l->type == TCOMM) PrintComm(l->cont.op.l, l->cont.op.r, 0); else PrintNode(l); fprintf(OutFp, ","); PrintNode(r); if (bracket) fprintf(OutFp, "]"); } /* ** PrintEngel() prints a commutator using the following rule for ** Engel relations: ** [u, n v] */ static void PrintEngel(node *l, node *r, node *e) { fprintf(OutFp, "["); PrintNode(l); fprintf(OutFp, ", "); PrintNode(e); fprintf(OutFp, " "); PrintNode(r); fprintf(OutFp, "]"); } /* ** PrintMult() prints a product. It is not necessary to check if ** parentheses have to be printed since '*' has the lowest precedence ** of all operators except '='. But '=' can only occur at the top of ** an expression tree. */ static void PrintMult(node *l, node *r) { PrintNode(l); fprintf(OutFp, "*"); PrintNode(r); } /* ** PrintPow() prints an expression raised to an integer. If the expression ** is a product, it has to be enclosed in parentheses because of the lower ** precedence of '*'. If the expression is again a power or a conjugation, ** it has to be enclosed in parenthesis because '^' is not an associative ** operator. */ static void PrintPow(node *l, node *r) { if (l->type == TPOW || l->type == TCONJ || l->type == TMULT) { putc('(', OutFp); PrintNode(l); putc(')', OutFp); } else PrintNode(l); putc('^', OutFp); if (r->type != TNUM) { fprintf(OutFp, "Fatal error in tree.\n"); exit(5); } fprintf(OutFp, "%d", r->cont.n); } /* ** PrintConj() prints an expression conjugated by another expression. ** If one of the expressions is a product, a power or another conjugation, ** it has to be enclosed in parentheses for the same reasons PrintPow() ** has to enclose the basis in parentheses. */ static void PrintConj(node *l, node *r) { if (l->type == TPOW || l->type == TCONJ || l->type == TMULT) { putc('(', OutFp); PrintNode(l); putc(')', OutFp); } else PrintNode(l); putc('^', OutFp); if (r->type == TPOW || r->type == TCONJ || r->type == TMULT) { putc('(', OutFp); PrintNode(r); putc(')', OutFp); } else PrintNode(r); } /* ** PrintRel() prints a relation. No parenthesis are necessary since ** '=' has the lowest precedence of all binary operators. */ static void PrintRel(node *l, node *r) { PrintNode(l); fprintf(OutFp, " = "); PrintNode(r); } /* ** PrintDRelL() prints a defining relation. No parenthesis are necessary ** since '=:' has the lowest precedence of all binary operators. */ static void PrintDRelL(node *l, node *r) { PrintNode(l); fprintf(OutFp, " := "); PrintNode(r); } /* ** PrintDRelR() prints a defining relation. No parenthesis are necessary ** since '=:' has the lowest precedence of all binary operators. */ static void PrintDRelR(node *l, node *r) { PrintNode(l); fprintf(OutFp, " =: "); PrintNode(r); } /* ** PrintNode() just looks at the type of a node and then calls the ** appropriate print function. */ void PrintNode(node *n) { switch (n->type) { case TNUM: { PrintNum(n->cont.n); break; } case TGEN: { PrintGen(n->cont.g); break; } case TMULT: { PrintMult(n->cont.op.l, n->cont.op.r); break; } case TPOW: { PrintPow(n->cont.op.l, n->cont.op.r); break; } case TCONJ: { PrintConj(n->cont.op.l, n->cont.op.r); break; } case TCOMM: { PrintComm(n->cont.op.l, n->cont.op.r, 1); break; } case TREL: { PrintRel(n->cont.op.l, n->cont.op.r); break; } case TDRELL: { PrintDRelL(n->cont.op.l, n->cont.op.r); break; } case TDRELR: { PrintDRelR(n->cont.op.l, n->cont.op.r); break; } case TENGEL: { PrintEngel(n->cont.op.l, n->cont.op.r, n->cont.op.e); break; } default: { fprintf(OutFp, "\nunknown node type\n"); exit(5); } } } /* ** PrintPresentation() prints the presentation stored in the global ** variable Pres. */ void PrintPresentation(FILE *fp) { gen g; int r; InitPrint(fp); if (Pres.nragens == 0) return; /* Open the presentation. */ fprintf(OutFp, "< "); /* Print the generators first. */ PrintGen(1); for (g = 2; g <= (gen)Pres.nragens; g++) { fprintf(OutFp, ", "); PrintGen(g); } if (Pres.nrigens > 0) { fprintf(OutFp, "; "); PrintGen(Pres.nragens + 1); for (g = Pres.nragens + 2; g <= (gen)(Pres.nragens + Pres.nrigens); g++) { fprintf(OutFp, ", "); PrintGen(g); } } /* Now the delimiter. */ fprintf(OutFp, " |\n"); /* Now the relations. */ if (Pres.rels[0] != (node *)0) { fprintf(OutFp, " "); PrintNode(Pres.rels[0]); } for (r = 1; Pres.rels[r] != (node *)0; r++) { fprintf(OutFp, ",\n "); PrintNode(Pres.rels[r]); } /* And close the presentation. */ fprintf(OutFp, " >\n"); } void InitPrint(FILE *fp) { OutFp = fp; OutFileName = ""; } nq-2.5.4/src/glimt.c0000664000371700037170000003230213441553627015433 0ustar gap-jenkinsgap-jenkins/***************************************************************************** ** ** glimt.c NQ Werner Nickel ** nickel@mathematik.tu-darmstadt.de */ #include "nq.h" #include "time.h" #include "glimt.h" #undef min /* ** This module uses the arbitrary precision GNU integer package gmp. */ #include /* ** Define the data type for large integers and vectors of large integers. */ typedef MP_INT *large; typedef large *lvec; /* ** The name of the structure components in MINT have changed. I ** knew from the start that I shouldn't have done that. */ #if __GNU_MP__+0 >= 2 # define NOTZERO(l) ((l)->_mp_size != 0) # define ISZERO(l) ((l)->_mp_size == 0) # define ISNEG(l) ((l)->_mp_size < 0) # define NEGATE(l) ((l)->_mp_size = -(l)->_mp_size) # define SIGN(l) (expo)(sgn((l)->_mp_size)) # define SIZE(l) ((l)->_mp_size) # define LIMB(l,i) (expo)((l)->_mp_d[i]) #else # define NOTZERO(l) ((l)->size != 0) # define ISZERO(l) ((l)->size == 0) # define ISNEG(l) ((l)->size < 0) # define NEGATE(l) ((l)->size = -(l)->size) # define SIGN(l) (expo)(sgn((l)->size)) # define SIZE(l) ((l)->size) # define LIMB(l,i) (expo)((l)->d[i]) #endif /* ** The variable 'Matrix' contains the pointer to the integer matrix. ** The variable 'Heads' contains the pointer to an array whose i-th ** component contains the position of the first non-zero entry in ** i-th row of Matrix[]. The variable changedMatrix indicates whether ** the integer matrix changed during the reduction of an integer ** vector. */ lvec *Matrix = (lvec*)0; long *Heads; large MaximalEntry; static long changedMatrix = 0; /* ** The number of rows and columns in the integer matrix are stored in ** the following two variables. */ long NrRows = 0; long NrCols = 0; /* ** Take the time spend in this package. */ static long Time = 0; /* ** Set a flag if the integer matrix is the identity. ** This can be used as an early stopping criterion. */ int EarlyStop; /* ** Set this flag if each non-zero vector handed to addRow() is to ** be printed to a file. */ int RawMatOutput; FILE *RawMatFile = NULL; static large ltom(expo n) { char x[64]; MP_INT *l = (MP_INT*)Allocate(sizeof(MP_INT)); int sign = 1; if (n < (expo)0) { sign = -1; n = -n; } /* ** There does not seem to be a function that converts from long long ** to a large integer. So we have to do it a bit more complicated. */ #ifdef HAVE_LONG_LONG_INT sprintf(x, "%llx", n); #else sprintf(x, "%lx", n); #endif mpz_init(l); mpz_set_str(l, x, 16); if (0) { printf(EXP_FORMAT" ", n); mpz_out_str(stdout, 10, l); printf("\n"); } if (sign == -1) NEGATE(l); return l; } void freeExpVecs(expvec *M) { long i; for (i = 0; i < NrRows; i++) free(M[i]); free(M); NrRows = NrCols = 0; } static void freeVector(lvec v) { long i; for (i = 1; i <= NrCols; i++) { mpz_clear(v[i]); Free(v[i]); } Free(v); } static void freeMatrix(void) { long i; if (Matrix == (lvec *)0) return; mpz_clear(MaximalEntry); Free(MaximalEntry); for (i = 0; i < NrRows; i++) freeVector(Matrix[i]); Free(Matrix); Matrix = (lvec*)0; } /* static void printVector(lvec v) { long i; for (i = 1; i <= NrCols; i++) { printf(" "); mpz_out_str(stdout, 10, v[i]); } printf("\n"); } */ static long survivingCols(expvec *M, long *surviving) { long nrSurv = 0, h = 1, i; for (i = 0; i < NrRows; i++) { for (; h < Heads[i]; h++) surviving[nrSurv++] = h; if (M[i][h] != (expo)1) surviving[nrSurv++] = h; h++; } for (; h <= NrCols; h++) surviving[nrSurv++] = h; return nrSurv; } static void outputMatrix(expvec *M, const char *suffix) { long i, j, nrSurv, *surviving; char outputName[128]; FILE *fp; if (strlen(InputFile) > 100) sprintf(outputName, "NqOut.%s.%d", suffix, Class + 1); else sprintf(outputName, "%s.%s.%d", InputFile, suffix, Class + 1); if ((fp = fopen(outputName, "w")) == NULL) { perror(outputName); fprintf(stderr, "relation matrix for class %d not written\n", Class + 1); } if (M == (expvec*)0) { fprintf(fp, "0\n"); fclose(fp); return; } surviving = (long *)Allocate(NrCols * sizeof(long)); nrSurv = survivingCols(M, surviving); fprintf(fp, "%ld # Number of colums\n", nrSurv); for (i = 0; i < NrRows; i++) { if (M[i][Heads[i]] != (expo)1) { for (j = 0; j < nrSurv; j++) fprintf(fp, " "EXP_FORMAT, M[i][surviving[j]]); fprintf(fp, "\n"); } } Free(surviving); fclose(fp); } void OutputMatrix(const char *suffix) { long i, j; char outputName[128]; FILE *fp; if (strlen(InputFile) > 100) sprintf(outputName, "NqOut.%s.%d", suffix, Class + 1); else sprintf(outputName, "%s.%s.%d", InputFile, suffix, Class + 1); if ((fp = fopen(outputName, "w")) == NULL) { perror(outputName); fprintf(stderr, "relation matrix for class %d not written\n", Class + 1); } if (Matrix == (lvec*)0) { fprintf(fp, "0\n"); fclose(fp); return; } fprintf(fp, "%ld\n", NrCols); for (i = 0; i < NrRows; i++) { for (j = 1; j <= NrCols; j++) { fputc(' ', fp); mpz_out_str(fp, 10, Matrix[i][j]); } fprintf(fp, "\n"); } fclose(fp); } static void printGapMatrix(expvec *M) { long i, j, first, nrSurv, *surviving; if (M == (expvec*)0) { printf("[\n["); for (j = 1; j <= NrCenGens; j++) { printf(" 0"); if (j < NrCenGens) putchar(','); } printf(" ]\n],\n"); return; } surviving = (long *)Allocate(NrCols * sizeof(long)); nrSurv = survivingCols(M, surviving); if (nrSurv == 0) { Free(surviving); return; } printf("[\n"); for (i = 0, first = 1; i < NrRows; i++) { if (M[i][Heads[i]] != (expo)1) { if (!first) printf(",\n"); else first = 0; printf("["); for (j = 0; j < nrSurv; j++) { printf(" "EXP_FORMAT, M[i][surviving[j]]); if (j < nrSurv) putchar(','); } printf("]"); } } if (first) { printf("["); for (j = 0; j < nrSurv - 1; j++) printf(" 0,"); printf(" 0]\n"); } printf("],"); putchar('\n'); Free(surviving); } /* ** Print the contents of Matrix[]. */ static void printMatrix(void) { long i, j; printf(" heads vectors\n"); for (i = 0; i < NrRows; i++) { printf(" %ld ", Heads[i]); for (j = 1; j <= NrCols; j++) { putchar(' '); mpz_out_str(stdout, 10, Matrix[i][j]); } putchar('\n'); } } /* ** MatrixToExpVec() converts the contents of Matrix[] to a list of ** exponent vectors which can be used easily by the elimination ** routines. It also checks that the integers are not bigger than 2^15. ** If this is the case it prints a warning and aborts. */ expvec *MatrixToExpVecs(void) { long i, j, k; large m; expo c; expvec *M; if (NrRows == 0) { freeMatrix(); TimeOutOff(); if (Gap) printGapMatrix((expvec*)0); if (AbelianInv) outputMatrix((expvec*)0, "abinv"); if (RawMatOutput && RawMatFile != NULL) fclose(RawMatFile); TimeOutOn(); return (expvec*)0; } M = (expvec*)malloc(NrRows * sizeof(expvec)); if (M == (expvec*)0) { perror("MatrixToExpVecs(), M"); exit(2); } /* Convert. */ for (i = 0; i < NrRows; i++) { M[i] = (expvec)calloc(NrCols + 1, sizeof(expo)); if (M[i] == (expvec)0) { perror("MatrixToExpVecs(), M[]"); exit(2); } for (j = Heads[i]; j <= NrCols; j++) { m = Matrix[i][j]; if (mpz_sizeinbase(m, 2) > 8 * sizeof(signed int) - 2) { printf("Warning, Exponent too large.\n"); printMatrix(); exit(4); } M[i][j] = mpz_get_si(m); } } for (i = 0; i < NrRows; i++) freeVector(Matrix[i]); /* Make all entries except the head entries negative. */ for (i = 0; i < NrRows; i++) for (j = i - 1; j >= 0; j--) if (abs(M[j][ Heads[i] ]) >= M[i][ Heads[i] ] || M[j][ Heads[i] ] > (expo)0) { c = M[j][ Heads[i] ] / M[i][ Heads[i] ]; if (M[j][ Heads[i] ] > (expo)0 && M[j][ Heads[i] ] % M[i][ Heads[i] ] != (expo)0) c++; for (k = Heads[i]; k <= NrCols; k++) M[j][k] -= c * M[i][k]; } free(Matrix); Matrix = (lvec *)0; printf("# Time spent on the integer matrix: %ld msec.\n", Time); printf("# Maximal entry: "); mpz_out_str(stdout, 10, MaximalEntry); printf("\n"); TimeOutOff(); if (Gap) printGapMatrix(M); if (AbelianInv) outputMatrix(M, "abinv"); TimeOutOn(); if (RawMatOutput) fclose(RawMatFile); return M; } /* ** The following routines perform operations with vectors : ** ** vNeg() negates each entry of the vector v starting at v[a]. ** vSub() subtracts a multiple of the vector w from the vector v. ** The scalar w is multiplied with is v[a]/w[a], so that ** the entry v[a] after the subtraction is smaller than ** w[a]. ** vSubOnce() subtracts the vector w from the vector v. */ static void vNeg(lvec v, long a) { while (a <= NrCols) { NEGATE(v[a]); a++; } } /* static void vSubOnce(lvec v, lvec w, long a) { while (a <= NrCols) { mpz_sub(v[a], w[a], v[a]); a++; } } */ static void vSub(lvec v, lvec w, long a) { mpz_t q, t; if (NOTZERO(v[a])) { mpz_init(q); mpz_tdiv_q(q, v[a], w[a]); if (NOTZERO(q)) { mpz_init(t); while (a <= NrCols) { mpz_mul(t, q, w[a]); mpz_sub(v[a], v[a], t); mpz_abs(t, v[a]); if (mpz_cmp(t, MaximalEntry) > 0) mpz_set(MaximalEntry, v[a]); a++; } mpz_clear(t); } mpz_clear(q); } } static void lastReduce(void) { long i, j; /* Reduce all the head columns. */ for (i = 0; i < NrRows; i++) for (j = i - 1; j >= 0; j--) vSub(Matrix[j], Matrix[i], Heads[i]); } /* ** vReduce() reduces the vector v against the vectors in Matrix[]. */ static lvec vReduce(lvec v, long h) { long i; lvec w; for (i = 0; i < NrRows && Heads[i] <= h; i++) { if (Heads[i] == h) { while (NOTZERO(v[h]) && NOTZERO(Matrix[i][h])) { vSub(v, Matrix[i], h); if (NOTZERO(v[h])) { changedMatrix = 1; vSub(Matrix[i], v, h); } } if (NOTZERO(v[h])) { /* v replaces th i-th row. */ if (ISNEG(v[h])) vNeg(v, h); w = Matrix[i]; Matrix[i] = v; v = w; } while (h <= NrCols && ISZERO(v[h])) h++; if (h > NrCols) { freeVector(v); v = (lvec)0; } } } return v; } int addRow(expvec ev) { long h, i, t; lvec v; IntMatTime -= RunTime(); /* Initialize Matrix[] and Heads[] on the first call. */ if (Matrix == (lvec *)0) { EarlyStop = 0; Time = 0; if ((Matrix = (lvec*)malloc(200 * sizeof(lvec))) == (lvec *)0) { perror("addRow, Matrix "); exit(2); } if ((Heads = (long*)malloc(200 * sizeof(long))) == (long*)0) { perror("addRow, Heads "); exit(2); } NrCols = NrCenGens; MaximalEntry = ltom((expo)0); if (RawMatOutput) { char *file; int c; c = Class + 1; file = (char *)calloc(12, sizeof(char)); strcpy(file, "matrix.XXX"); file[9] = c % 10 + '0'; c /= 10; file[8] = c % 10 + '0'; c /= 10; file[7] = c % 10 + '0'; if ((RawMatFile = fopen(file, "w")) == NULL) { perror(file); exit(1); } fprintf(RawMatFile, "%ld\n", NrCols); fflush(RawMatFile); free(file); } } changedMatrix = 0; /* Check if the first NrPcGens entries in the exponent vector ** are zero. */ for (i = 1; i <= NrPcGens; i++) if (ev[i] != 0) { printf("Warning, exponent vector is not a tail"); printf(" at position %ld.\n", i); printEv(ev); printf("\n"); break; } /* Find the head, i.e. the first non-zero entry, of ev. */ for (h = 0, i = 1; i <= NrCols; i++) if (ev[NrPcGens + i] != 0) { h = i; break; } /* If ev is the null vector, free it and return. */ if (h == 0) { Free(ev); IntMatTime += RunTime(); return 0; } t = RunTime(); /* Copy the last NrCenGens entries of ev and free it. */ v = (lvec)malloc((NrCols + 1) * sizeof(large)); if (v == (lvec)0) { perror("addRow(), v"); exit(2); } for (i = 1; i <= NrCols; i++) v[i] = ltom(ev[NrPcGens + i]); if (RawMatOutput) { for (i = 1; i <= NrCols; i++) { fprintf(RawMatFile, " "EXP_FORMAT, ev[NrPcGens + i]); } fprintf(RawMatFile, "\n"); fflush(RawMatFile); } Free(ev); if ((v = vReduce(v, h)) != (lvec)0) { changedMatrix = 1; if (NrRows % 200 == 0) { Matrix = (lvec*)realloc(Matrix, (NrRows + 200) * sizeof(lvec)); if (Matrix == (lvec*)0) { perror("addRow(), Matrix"); exit(2); } Heads = (long*)realloc(Heads, (NrRows + 200) * sizeof(long)); if (Heads == (long*)0) { perror("addRow(), Heads"); exit(2); } } /* Insert ev such that Heads[] is in increasing order. */ while (h <= NrCols && ISZERO(v[h])) h++; if (ISNEG(v[h])) vNeg(v, h); for (i = NrRows; i > 0; i--) if (Heads[i - 1] > h) { Matrix[i] = Matrix[i - 1]; Heads[i] = Heads[i - 1]; } else break; /* Insert. */ Matrix[ i ] = v; Heads[ i ] = h; NrRows++; } if (changedMatrix) lastReduce(); /* Check if Matrix[] is the identity matrix. */ if (NrRows == NrCenGens) { for (i = 0; i < NrRows; i++) /* Check if each leading entry is 1 */ if (mpz_sizeinbase(Matrix[i][Heads[i]], 2) != 1) break; if (i == NrRows) EarlyStop = 1; } Time += RunTime() - t; if (EarlyStop) printf("# Integer matrix is the identity.\n"); IntMatTime += RunTime(); return changedMatrix; } /* void printLarge(large l) { mpz_out_str(stdout, 10, l); printf("\n"); } */ nq-2.5.4/src/instances.h0000664000371700037170000000047413441553627016320 0ustar gap-jenkinsgap-jenkins/***************************************************************************** ** ** instances.h NQ Werner Nickel ** nickel@mathematik.tu-darmstadt.de */ extern word *Instances; extern void EvalIdenticalRelation(node *r); nq-2.5.4/src/mem.c0000664000371700037170000000162113441553627015075 0ustar gap-jenkinsgap-jenkins/**************************************************************************** ** ** mem.c NQ Werner Nickel ** nickel@mathematik.tu-darmstadt.de */ #include #include "mem.h" static void AllocError(const char *str) { fflush(stdout); fprintf(stderr, "%s failed: ", str); perror(""); exit(4); } void *Allocate(unsigned nchars) { void *ptr; ptr = (void *)calloc(nchars, sizeof(char)); if (ptr == 0) AllocError("Allocate"); if ((unsigned long)ptr & 0x3) printf("Warning, pointer not aligned.\n"); return ptr; } void *ReAllocate(void *optr, unsigned nchars) { optr = (void *)realloc((char *)optr, nchars); if (optr == (void *)0) AllocError("ReAllocate"); if ((unsigned long)optr & 0x3) printf("Warning, pointer not aligned.\n"); return optr; } void Free(void *ptr) { free(ptr); } nq-2.5.4/src/eliminate.c0000664000371700037170000001641513441553627016275 0ustar gap-jenkinsgap-jenkins/***************************************************************************** ** ** eliminate.c NQ Werner Nickel ** nickel@mathematik.tu-darmstadt.de */ #include #include "nq.h" #include "glimt.h" #include "relations.h" /* for ElimAllEpim */ long appendExpVector(gen k, expvec ev, word w, gen *renumber) { long l = 0; /* Copy the negative of the exponent vector ev[] into w. */ for (; k <= NrCenGens; k++) { if (ev[k] > (expo)0) { if (Exponent[renumber[k]] != (expo)0) printf("Warning: Positive entry in matrix."); else { w[l].g = -renumber[k]; w[l].e = ev[k]; } } else if (ev[k] < (expo)0) { w[l].g = renumber[k]; w[l].e = -ev[k]; } else continue; if (Exponent[abs(w[l].g)] != (expo)0) { if (w[l].g < 0) printf("Negative exponent for torsion generator.\n"); if (w[l].e >= Exponent[w[l].g]) printf("Unreduced exponent for torsion generators.\n"); } l++; } w[l].g = EOW; w[l].e = (expo)0; l++; return l; } static word elimRHS(word v, long *eRow, gen *renumber, expvec ev, expvec *M) { word w; gen cg; long j, k, l; expo s; w = (word)malloc((NrPcGens + NrCenGens + 1) * sizeof(gpower)); if (w == (word)0) { perror("elimRHS(), w"); exit(2); } /* copy the first NrPcGens generators into w. */ l = 0; while (v->g != EOW && abs(v->g) <= NrPcGens) { w[l] = *v++; l++; } /* copy the eliminating rows into ev[]. */ while (v->g != EOW) { cg = abs(v->g) - NrPcGens; if (cg <= 0) printf("Warning : non-central generator in elimRHS()\n"); if (eRow[ cg ] == -1 || M[eRow[cg]][cg] != (expo)1) /* generator cg survives. */ ev[ cg ] += sgn(v->g) * v->e; else for (k = cg + 1; k <= NrCenGens; k++) ev[k] -= sgn(v->g) * v->e * M[eRow[cg]][k]; v++; } /* Reduce all entries modulo the exponents. */ for (k = 1; k <= NrCenGens; k++) if (renumber[k] > 0 && Exponent[renumber[k]] > (expo)0) if ((s = ev[k] / Exponent[renumber[k]]) != (expo)0 || ev[k] < (expo)0) { if (ev[k] - s * M[eRow[k]][k] < (expo)0) s--; for (j = k; j <= NrCenGens; j++) ev[j] -= s * M[eRow[k]][j]; } /* Now copy the exponent vector back into the word. */ for (k = 1; k <= NrCenGens; k++) { if (ev[k] > (expo)0) { w[l].g = renumber[k]; w[l].e = ev[k]; } else if (ev[k] < (expo)0) { w[l].g = -renumber[k]; w[l].e = -ev[k]; } else continue; if (Exponent[abs(w[l].g)] != (expo)0) { if (w[l].g < 0) printf("Negative exponent for torsion generator.\n"); if (w[l].e >= Exponent[w[l].g]) printf("Unreduced exponent for torsion generators.\n"); } l++; } w[l].g = EOW; w[l].e = (expo)0; l++; for (k = 1; k <= NrCenGens; k++) ev[k] = (expo)0; return (word)realloc(w, l * sizeof(gpower)); } void ElimGenerators(void) { long i, j, k, l, n = 0, *eRow, t = 0; expvec ev, *M = 0; gen *renumber; word v, w; if (Verbose) t = RunTime(); M = MatrixToExpVecs(); /* first assign a new number to each central generator which is not to be eliminated. */ renumber = (gen*) calloc(NrCenGens + 1, sizeof(gen)); if (renumber == (gen*)0) { perror("elimGenerators(), renumber"); exit(2); } for (k = 1, i = 0; k <= NrCenGens; k++) if (i >= NrRows || k != Heads[i]) renumber[ k ] = NrPcGens + k - n; else if (M[i][k] != 1) { /* k will become a torsion element */ renumber[ k ] = NrPcGens + k - n; Exponent[ renumber[k] ] = M[i][k]; i++; } else { /* k will be eliminated. */ n++; i++; } /* extend the memory for Power[], note that n is the number of generators to be eliminated. */ Power = (word*)realloc(Power, (NrPcGens + NrCenGens + 1 - n) * sizeof(word)); if (Power == (word*)0) { perror("elimGenerators(), Power"); exit(2); } /* extend the memory for Definition[]. */ Definition = (def*)realloc(Definition, (NrPcGens + NrCenGens + 1 - n) * sizeof(def)); if (Definition == (def*)0) { perror("elimGenerators(), Definition"); exit(2); } /* first we eliminate ALL central generators that occur in the ** epimorphism. */ i = ElimAllEpim(n, M, renumber); /* secondly we eliminate ALL generators from right hand sides of ** power relations. */ for (j = 1; j <= NrPcGens; j++) if (Exponent[j] != (expo)0) { l = WordLength(Power[ j ]); w = (word)malloc((l + NrCenGens + 1 - n) * sizeof(gpower)); WordCopy(Power[ j ], w); l--; l += appendExpVector(w[l].g + 1 - NrPcGens, M[i], w + l, renumber); if (Power[j] != (word)0) free(Power[j]); if (l == 1) { Power[j] = (word)0; free(w); } else Power[j] = (word)realloc(w, l * sizeof(gpower)); i++; } /* Thirdly we eliminate the generators from the right hand ** side of conjugates, but before that we fix the definitions ** of surviving generators. */ /* set up an array that specifies the row which eliminates a ** generator. */ eRow = (long*)malloc((NrCenGens + 1) * sizeof(long)); if (eRow == (long*)0) { perror("elimGenerators(), eRow"); exit(2); } for (k = 0; k <= NrCenGens; k++) eRow[ k ] = -1; for (k = 0; k < NrRows; k++) eRow[ Heads[k] ] = k; ev = (expvec)calloc((NrCenGens + 1), sizeof(expo)); if (ev == (expvec)0) { perror("elimGenerators(), ev"); exit(2); } for (j = 1; j <= NrPcGens; j++) for (i = 1; i < j; i++) { if (Wt(j) + Wt(i) > Class + 1) continue; k = Conjugate[j][i][1].g - NrPcGens; if (k > 0 && i <= Dimension[1] && j > NrPcGens - Dimension[Class] && (eRow[ k ] == -1 || M[eRow[k]][k] != (expo)1)) { /* Fix the definitions of surviving generators and ** their power relations. */ Conjugate[j][i][1].g = renumber[k]; Definition[ renumber[k] ].h = j; Definition[ renumber[k] ].g = i; if (eRow[ k ] != -1) { w = (word)malloc((NrCenGens + 1 - n) * sizeof(gpower)); if (w == (word)0) { perror("elimGenerators(), w"); exit(2); } l = appendExpVector(k + 1, M[eRow[k]], w, renumber); w = (word)realloc(w, l * sizeof(gpower)); Power[ renumber[k] ] = w; } } else { v = elimRHS(Conjugate[j][i], eRow, renumber, ev, M); if (Conjugate[j][i] != Generators[j]) free(Conjugate[j][i]); Conjugate[j][i] = v; } if (Exponent[i] == (expo)0) { v = elimRHS(Conjugate[j][-i], eRow, renumber, ev, M); if (Conjugate[j][-i] != Generators[j]) free(Conjugate[j][-i]); Conjugate[j][-i] = v; } if (Exponent[j] == (expo)0) { v = elimRHS(Conjugate[-j][i], eRow, renumber, ev, M); if (Conjugate[-j][i] != Generators[-j]) free(Conjugate[-j][i]); Conjugate[-j][i] = v; } if (Exponent[j] + Exponent[i] == (expo)0) { v = elimRHS(Conjugate[-j][-i], eRow, renumber, ev, M); if (Conjugate[-j][-i] != Generators[-j]) free(Conjugate[-j][-i]); Conjugate[-j][-i] = v; } } /* Now adjust the sizes of the arrays */ assert(Commute == CommuteList[ Class + 1 ]); Commute = (gen*)realloc(Commute, (NrPcGens + NrCenGens + 1 - n) * sizeof(gen)); CommuteList[ Class + 1 ] = Commute; Exponent = (expo*)realloc(Exponent, (NrPcGens + NrCenGens + 1 - n) * sizeof(expo)); free(renumber); free(ev); free(eRow); if (M != (expvec*)0) freeExpVecs(M); NrCenGens -= n; if (Verbose) printf("# Eliminated generators (%ld msec).\n", RunTime() - t); } nq-2.5.4/src/pcarith.h0000664000371700037170000000142513441553627015760 0ustar gap-jenkinsgap-jenkins/**************************************************************************** ** ** pcarith.h PC Werner Nickel ** nickel@mathematik.tu-darmstadt.de */ #ifndef PCARITH_H #define PCARITH_H #include "genexp.h" typedef word (*WordGenerator)(gen); extern void WordCopyExpVec(expvec ev, word w); extern word WordExpVec(expvec ev); extern expvec ExpVecWord(word w); extern int WordCmp(word u, word w); extern void WordCopy(word u, word w); extern int WordLength(word w); extern void WordInit(WordGenerator generator); extern void WordPrint(word gs); extern word WordGen(gen g); extern word WordEngel(word u, word w, int *e); extern word WordComm(word u, word w); #endif nq-2.5.4/src/system.c0000664000371700037170000000752013441553627015647 0ustar gap-jenkinsgap-jenkins/**************************************************************************** ** ** system.c NQ Werner Nickel ** nickel@mathematik.tu-darmstadt.de */ #include #include #include #include #include "config.h" #include "nq.h" static const char *SignalName[] = { "", "Hangup (1)", "Interrupt (2)", "Quit (3)", "Illegal instruction (4)", "(5)", "Abort (6)", "(7)", "Arithmetic exception (8)", "(9)", "Bus error (10)", "Segmentation violation (11)", "(12)", "(13)", "Alarm clock (14)", "User termination (15)", "", "", "", "", "", "", "", "", "", "", "Virtual alarm (26)" }; static void handler(int sig) { fprintf(stderr, "\n\n# Process terminating with signal"); fprintf(stderr, " %s.\n\n", SignalName[sig]); if (Gap) printf("];\n"); fflush(stdout); signal(sig, SIG_DFL); kill(getpid(), sig); } static int TimeOutReached = 0; static int DoTimeOut = 1; /* ** Set the alarm. */ void SetTimeOut(int nsec) { struct itimerval si; if (nsec > 0) { printf("#\n# Time out after %d seconds.\n", nsec); /* Set time after which timer expires. */ si.it_value.tv_sec = nsec; /* sec */ si.it_value.tv_usec = 0; /* msec */ /* The timer is not going to be reset. */ si.it_interval.tv_sec = 0; si.it_interval.tv_usec = 0; if (setitimer(ITIMER_VIRTUAL, &si, (struct itimerval*)0) == -1) { perror(""); } TimeOutReached = 0; DoTimeOut = 1; return; } else printf("SetTimeOut(): argument negative, timout not set.\n"); } /* ** Switch on the time out mechanism. Check if the program has timed ** out in the mean time and if so terminate. */ void TimeOutOn(void) { if (TimeOutReached) { printf("#\n# Process has timed out.\n#\n"); if (Gap) printf("];\n"); exit(0); } else DoTimeOut = 1; } /* ** Switch off the time out mechanism. */ void TimeOutOff(void) { DoTimeOut = 0; } static void alarmClock(int sig) { TimeOutReached = 1; if (DoTimeOut) TimeOutOn(); } void CatchSignals(void) { /* ** Catch the following signal in order to exit gracefully ** if the process is killed. */ signal(SIGHUP, handler); signal(SIGINT, handler); signal(SIGQUIT, handler); signal(SIGABRT, handler); signal(SIGTERM, handler); /* ** Catch the following signals to exit gracefully if the ** process crashes. */ signal(SIGILL, handler); signal(SIGFPE, handler); signal(SIGBUS, handler); signal(SIGSEGV, handler); /* ** Catch the virtual alarm signal so that the process can time out. */ signal(SIGVTALRM, alarmClock); } /* ** return the cpu time in milli seconds */ #ifdef HAVE_GETRUSAGE #include #include long RunTime(void) { struct rusage buf; if (getrusage(RUSAGE_SELF, &buf)) { perror("couldn't obtain timing"); exit(1); } return buf.ru_utime.tv_sec * 1000 + buf.ru_utime.tv_usec / 1000; } #else #include #include long RunTime(void) { struct tms buf; times(&buf); return (buf.tms_utime * 50 / 3); } #endif nq-2.5.4/src/relations.h0000664000371700037170000000076513441553627016334 0ustar gap-jenkinsgap-jenkins/**************************************************************************** ** ** relations.h */ #ifndef RELATIONS_H #define RELATIONS_H #include "genexp.h" #include "presentation.h" /* for struct node */ extern int EvalSingleRelation(node *r); extern void EvalAllRelations(void); extern void InitEpim(void); extern int ExtendEpim(void); extern int ElimAllEpim(int n, expvec *M, gen *renumber); extern void ElimEpim(void); extern void PrintEpim(void); extern word Epimorphism(gen g); #endif nq-2.5.4/src/engel.h0000664000371700037170000000075513441553627015425 0ustar gap-jenkinsgap-jenkins/**************************************************************************** ** ** engel.h NQ Werner Nickel ** nickel@mathematik.tu-darmstadt.de */ extern int SemigroupOnly; extern int SemigroupFirst; extern int CheckFewInstances; extern int ReverseOrder; extern word EngelCommutator(word v, word w, int engel); extern void EvalEngel(void); extern void InitEngel(int l, int r, int v, int e, int n); nq-2.5.4/src/macro.h0000664000371700037170000000066513441553627015434 0ustar gap-jenkinsgap-jenkins/***************************************************************************** ** ** macro.h NQ Werner Nickel ** nickel@mathematik.tu-darmstadt.de */ /* ** Some macros. */ #define abs(x) ((x) > 0 ? (x) : -(x)) #define sgn(x) ((x) > 0 ? 1 : -1 ) #define min(x,y) ((x) > (y) ? (y) : (x)) #define max(x,y) ((x) < (y) ? (y) : (x)) nq-2.5.4/src/word.c0000664000371700037170000000131313441553627015270 0ustar gap-jenkinsgap-jenkins/***************************************************************************** ** ** word.c NQ Werner Nickel ** nickel@mathematik.tu-darmstadt.de */ #include "nq.h" void printGen(gen g, char c) { putchar(c + (g - 1) % 26); if ((g - 1) / 26 != 0) printf("%d", (g - 1) / 26); } void printWord(word w, char c) { if (w == (word)0 || w->g == EOW) { printf("Id"); return; } while (w->g != EOW) { if (w->g > 0) { printGen(w->g, c); if (w->e != (expo)1) printf("^"EXP_FORMAT, w->e); } else { printGen(-w->g, c); printf("^"EXP_FORMAT, -w->e); } w++; if (w->g != EOW) putchar('*'); } } nq-2.5.4/src/nq.c0000664000371700037170000002151313441553627014737 0ustar gap-jenkinsgap-jenkins/***************************************************************************** ** ** nq.c NQ Werner Nickel ** nickel@mathematik.tu-darmstadt.de */ #include #include #include "nq.h" #include "engel.h" #include "glimt.h" #include "presentation.h" #include "relations.h" #include "time.h" int Debug = 0; int Gap = 0; int AbelianInv = 0; int NilpMult; int Verbose = 0; extern int RawMatOutput; const char *InputFile; static char *ProgramName; static int Cl; static void usage(const char *error) { int i; if (error != 0) fprintf(stderr, "%s\n", error); fprintf(stderr, "usage: %s", ProgramName); fprintf(stderr, " [-a] [-M] [-d] [-g] [-v] [-s] [-f] [-c] [-m]\n"); for (i = strlen(ProgramName) + 7; i > 0; i--) fputc(' ', stderr); fprintf(stderr, " [-t ] [-l ] [-r ] [-n ] [-e ]\n"); for (i = strlen(ProgramName) + 7; i > 0; i--) fputc(' ', stderr); fprintf(stderr, " [-y] [-o] [-p] [-E] [] []\n"); exit(1); } static int leftEngel = 0, rightEngel = 0, revEngel = 0, engel = 0, nrEngelGens = 1; static int trmetab = 0; static const char *Ordinal(int n) { switch (n) { case 1: return "st"; case 2: return "nd"; case 3: return "rd"; default: return "th"; } } static void printHeader(void) { printf("#\n"); printf("# The ANU Nilpotent Quotient Program (Version %s)\n", PACKAGE_VERSION); printf("# Calculating a nilpotent quotient\n"); printf("# Input: %s", InputFile); if (leftEngel) { if (nrEngelGens > 1) printf(" & the first %d generators are", nrEngelGens); else printf(" &"); printf(" %d%s left Engel", leftEngel, Ordinal(leftEngel)); } if (rightEngel) { if (nrEngelGens > 1) printf(" & the first %d generators are", nrEngelGens); else printf(" &"); printf(" %d%s right Engel", rightEngel, Ordinal(rightEngel)); } if (engel) { printf(" %d%s Engel", engel, Ordinal(engel)); } printf("\n"); if (Cl != 666) printf("# Nilpotency class: %d\n", Cl); printf("# Program: %s\n", ProgramName); printf("# Size of exponents: %d bytes\n#\n", (int)sizeof(expo)); } int main(int argc, char *argv[]) { FILE *fp; long t, time; long begin, printEpim = 1; #ifdef HAVE_SBRK void *start; #endif gen g; CatchSignals(); #ifdef HAVE_SBRK start = sbrk(0); /* TODO: Add HAVE_SBRK macro */ #endif begin = RunTime(); ProgramName = argv[0]; argc--; argv++; setbuf(stdout, NULL); while (argc > 0 && argv[0][0] == '-') { if (argv[0][2] != '\0') { fprintf(stderr, "unknown option: %s\n", argv[0]); usage((char *)0); } switch (argv[0][1]) { case 'h': usage((char *)0); break; case 'r': if (--argc < 1) usage("-r requires an argument"); argv++; if ((rightEngel = atoi(argv[0])) <= 0) { fprintf(stderr, "%s\n", argv[0]); usage(" must be positive."); } break; case 'l': if (--argc < 1) usage("-l requires an argument."); argv++; if ((leftEngel = atoi(argv[0])) <= 0) { fprintf(stderr, "%s\n", argv[0]); usage(" must be positive."); } break; case 'n': if (--argc < 1) usage("-n requires an argument."); argv++; if ((nrEngelGens = atoi(argv[0])) <= 0) { fprintf(stderr, "%s\n", argv[0]); usage(" must be positive."); } break; case 'e': if (--argc < 1) usage("-e requires an argument"); argv++; if ((engel = atoi(argv[0])) <= 0) { fprintf(stderr, "%s\n", argv[0]); usage(" must be positive."); } break; case 't': if (--argc < 1) usage("-t requires an argument"); argv++; if ((t = atoi(argv[0])) <= 0) { fprintf(stderr, "%s\n", argv[0]); usage(" must be positive."); } switch (argv[0][strlen(argv[0]) - 1]) { case 'd' : t *= 24; case 'h' : t *= 60; case 'm' : t *= 60; } SetTimeOut(t); break; case 'p': printEpim = !printEpim; break; case 'g': Gap = !Gap; break; case 'a': AbelianInv = !AbelianInv; break; case 'M': NilpMult = !NilpMult; break; case 'v': Verbose = !Verbose; break; case 'd': Debug = !Debug; break; case 's': SemigroupOnly = !SemigroupOnly; break; case 'c': CheckFewInstances = !CheckFewInstances; break; case 'f': SemigroupFirst = !SemigroupFirst; break; case 'o': ReverseOrder = !ReverseOrder; break; case 'm': RawMatOutput = !RawMatOutput; break; case 'y': trmetab = 1; break; case 'E': revEngel = !revEngel; break; case 'C': UseCombiCollector = !UseCombiCollector; break; case 'S': UseSimpleCollector = !UseSimpleCollector; break; default : fprintf(stderr, "unknown option: %s\n", argv[0]); usage((char *)0); break; } argc--; argv++; } /* ** The default is to read from stdin and have no (almost no) ** class bound. */ InputFile = ""; Cl = 666; /* Parse the remaining arguments. */ switch (argc) { case 0: break; case 1: if (!isdigit(argv[0][0])) /* The only argument left is a file name. */ InputFile = argv[0]; else /* The only argument left is the class. */ Cl = atoi(argv[0]); /* TODO: Use strtol instead of atoi */ break; case 2: /* Two arguments left. */ InputFile = argv[0]; Cl = atoi(argv[1]); /* TODO: Use strtol instead of atoi */ break; default: usage((char *)0); break; } if (Cl <= 0) usage(" must be positive."); /* Open the input stream. */ if (strcmp(InputFile, "") == 0) { fp = stdin; } else { if ((fp = fopen(InputFile, "r")) == NULL) { perror(InputFile); exit(1); } } /* Read in the finite presentation. */ Presentation(fp, InputFile); /* Set the number of generators. */ WordInit(Epimorphism); InitEngel(leftEngel, rightEngel, revEngel, engel, nrEngelGens); InitTrMetAb(trmetab); InitPrint(stdout); printHeader(); time = RunTime(); if (Gap) printf("NqLowerCentralFactors := [\n"); if (Gap & Verbose) fprintf(stderr, "#I Class 1:"); printf("# Calculating the abelian quotient ...\n"); InitEpim(); EvalAllRelations(); EvalEngel(); EvalTrMetAb(); ElimEpim(); if (NrCenGens == 0) { printf("# trivial abelian quotient\n"); goto end; } /* if( Cl == 1 ) goto end; */ InitPcPres(); if (Gap & Verbose) { fprintf(stderr, " %d generators with relative orders ", Dimension[Class]); for (g = NrPcGens - Dimension[Class] + 1; g <= NrPcGens; g++) fprintf(stderr, " %d", (int)(Exponent[g])); fprintf(stderr, "\n"); } printf("# The abelian quotient"); printf(" has %d generators\n", Dimension[Class]); printf("# with the following exponents:"); for (g = NrPcGens - Dimension[Class] + 1; g <= NrPcGens; g++) printf(" %d", (int)(Exponent[g])); printf("\n"); if (Verbose) { printf("# runtime : %ld msec\n", RunTime() - time); printf("# total runtime : %ld msec\n", RunTime() - begin); #ifdef HAVE_SBRK printf("# total size : %ld byte\n", (long)((char *)sbrk(0) - (char *)start)); #endif } printf("#\n"); while (Class < Cl) { time = RunTime(); if (Gap & Verbose) { fprintf(stderr, "#I Class %d:", Class + 1); } printf("# Calculating the class %d quotient ...\n", Class + 1); AddGenerators(); Tails(); Consistency(); if (NilpMult) OutputMatrix("nilp"); EvalAllRelations(); EvalEngel(); EvalTrMetAb(); if (NilpMult) OutputMatrix("mult"); ElimGenerators(); if (NrCenGens == 0) goto end; ExtPcPres(); if (Gap & Verbose) { fprintf(stderr, " %d generators", Dimension[Class]); fprintf(stderr, " with relative orders:"); for (g = NrPcGens - Dimension[Class] + 1; g <= NrPcGens; g++) fprintf(stderr, " %d", (int)(Exponent[g])); fprintf(stderr, "\n"); } printf("# Layer %d of the lower central series", Class); printf(" has %d generators\n", Dimension[Class]); printf("# with the following exponents:"); for (g = NrPcGens - Dimension[Class] + 1; g <= NrPcGens; g++) printf(" %d", (int)(Exponent[g])); printf("\n"); if (Verbose) { printf("# runtime : %ld msec\n", RunTime() - time); printf("# total runtime : %ld msec\n", RunTime() - begin); #ifdef HAVE_SBRK printf("# total size : %ld byte\n", (long)((char *)sbrk(0) - (char *)start)); #endif } printf("#\n"); } end: TimeOutOff(); if (printEpim) { printf("\n\n# The epimorphism :\n"); PrintEpim(); printf("\n\n# The nilpotent quotient :\n"); PrintPcPres(); printf("\n\n# The definitions:\n"); PrintDefs(); } printf("# total runtime : %ld msec\n", RunTime() - begin); #ifdef HAVE_SBRK printf("# total size : %ld byte\n", (long)((char *)sbrk(0) - (char *)start)); #endif if (Gap) printf("];\n"); if (Gap) { PrintRawGapPcPres(); } if (Gap & Verbose) fprintf(stderr, "\n"); TimeOutOn(); PrintCollectionTimes(); return 0; } nq-2.5.4/src/gap.c0000664000371700037170000001272113441553627015071 0ustar gap-jenkinsgap-jenkins/***************************************************************************** ** ** gap.c NQ Werner Nickel ** nickel@mathematik.tu-darmstadt.de */ #include "nq.h" #include "presentation.h" #include "relations.h" #if 0 static void printGapWord(word w) { int nrc = 30; /* something has already been printed */ if (w == (word)0 || w->g == EOW) { printf("One(F)"); return; } while (w->g != EOW) { if (w->g > 0) { nrc += printf("NqF.%d", w->g); if (w->e != (expo)1) nrc += printf("^"EXP_FORMAT, w->e); } else { nrc += printf("NqF.%d", -w->g); nrc += printf("^"EXP_FORMAT, -w->e); } w++; if (w->g != EOW) { putchar('*'); nrc++; /* ** Insert a line break, because GAP can't take lines that ** are too long. */ if (nrc > 70) { printf("\\\n "); nrc = 0; } } } } void PrintGapPcPres(void) { int i, j; /* ** Commands that create the appropriate free group and the ** collector. */ printf("NqF := FreeGroup( %d );\n", NrPcGens + NrCenGens); printf("NqCollector := FromTheLeftCollector( NqF );\n"); for (i = 1; i <= NrPcGens + NrCenGens; i++) if (Exponent[i] != (expo)0) { printf("SetRelativeOrder( NqCollector, %d, ", i); printf(EXP_FORMAT, Exponent[i]); printf(" );\n"); } /* ** Print the power relations. */ for (i = 1; i <= NrPcGens + NrCenGens; i++) if (Exponent[i] != (expo)0 && Power[i] != (word)0 && Power[i]->g != EOW) { printf("SetPower( NqCollector, %d, ", i); printGapWord(Power[i]); printf(" );\n"); } /* ** Print the conjugate relations. */ for (j = 1; j <= NrPcGens; j++) { i = 1; while (i < j && Wt(i) + Wt(j) <= Class + (NrCenGens == 0 ? 0 : 1)) { /* printf( "Print( %d, \" \", %d, \"\\n\" );\n", j, i ); */ /* print Conjugate[j][i] */ printf("SetConjugate( NqCollector, %d, %d, ", j, i); printGapWord(Conjugate[j][i]); printf(" );\n"); if (1 && Exponent[i] == (expo)0) { printf("SetConjugate( NqCollector, %d, %d, ", j, -i); printGapWord(Conjugate[j][-i]); printf(" );\n"); } if (1 && Exponent[j] == (expo)0) { printf("SetConjugate( NqCollector, %d, %d, ", -j, i); printGapWord(Conjugate[-j][i]); printf(" );\n"); } if (1 && Exponent[i] + Exponent[j] == (expo)0) { printf("SetConjugate( NqCollector, %d, %d, ", -j, -i); printGapWord(Conjugate[-j][-i] /*, 'A'*/); printf(" );\n"); } i++; } } /* ** Print the epimorphism. It is sufficient to list the images. */ printf("NqImages := [\n"); for (i = 1; i <= NumberOfAbstractGens(); i++) { printGapWord(Epimorphism(i)); printf(",\n"); } printf("];\n"); printf("NqClass := %d;\n", Class); printf("NqRanks := [ "); for (i = 1; i <= Class; i++) printf(" %d,", Dimension[i]); printf("];\n"); } #endif static void printRawWord(word w) { int nrc = 15; /* something has already been printed */ if (w == (word)0 || w->g == EOW) { return; } while (w->g != EOW) { if (w->g > 0) { nrc += printf(" %d,", w->g); nrc += printf(" "EXP_FORMAT",", w->e); } else { nrc += printf(" %d,", -w->g); nrc += printf(" "EXP_FORMAT",", -w->e); } w++; /* Avoid long lines, because GAP can't read them. */ if (w->g != EOW && nrc > 70) { printf("\\\n "); nrc = 0; } } } void PrintRawGapPcPres(void) { int i, j; int cl = Class + (NrCenGens == 0 ? 0 : 1); /* ** Output the number of generators first and their relative ** orders. */ printf("NqNrGenerators := %d;\n", NrPcGens + NrCenGens); printf("NqRelativeOrders := [ "); for (i = 1; i <= NrPcGens + NrCenGens; i++) { printf(EXP_FORMAT",", Exponent[i]); if (i % 30 == 0) printf("\n "); } printf(" ];\n"); /* ** Print weight information. */ printf("NqClass := %d;\n", Class); printf("NqRanks := ["); for (i = 1; i <= cl; i++) printf(" %d,", Dimension[i]); printf("];\n"); /* ** Print the epimorphism. It is sufficient to list the images. */ printf("NqImages := [\n"); for (i = 1; i <= NumberOfAbstractGens(); i++) { printf(" [ "); printRawWord(Epimorphism(i)); printf("], # image of generator %d\n", i); } printf("];\n"); /* ** Print the power relations. */ printf("NqPowers := [\n"); for (i = 1; i <= NrPcGens + NrCenGens; i++) if (Exponent[i] != (expo)0 && Power[i] != (word)0 && Power[i]->g != EOW) { printf(" [ %d, ", i); printRawWord(Power[i]); printf(" ],\n"); } printf("];\n"); /* ** Print the conjugate relations. */ printf("NqConjugates := [\n"); for (j = 1; j <= NrPcGens; j++) { for (i = 1; i < j && Wt(i) + Wt(j) <= cl; i++) { printf(" [ %d, %d, ", j, i); printRawWord(Conjugate[j][i]); printf("],\n"); } } for (j = 1; j <= NrPcGens; j++) { for (i = 1; i < j && Wt(i) + Wt(j) <= cl; i++) { if (Exponent[i] == (expo)0) { printf(" [ %d, %d, ", j, -i); printRawWord(Conjugate[j][-i]); printf("],\n"); } } } for (j = 1; j <= NrPcGens; j++) { for (i = 1; i < j && Wt(i) + Wt(j) <= cl; i++) { if (Exponent[j] == (expo)0) { printf(" [ %d, %d, ", -j, i); printRawWord(Conjugate[-j][i]); printf("],\n"); } } } for (j = 1; j <= NrPcGens; j++) { for (i = 1; i < j && Wt(i) + Wt(j) <= cl; i++) { if (Exponent[i] + Exponent[j] == (expo)0) { printf(" [ %d, %d, ", -j, -i); printRawWord(Conjugate[-j][-i]); printf("],\n"); } } } printf("];\n"); printf("NqRuntime := %ld;\n", RunTime()); } nq-2.5.4/src/collect.h0000664000371700037170000000126213441553627015752 0ustar gap-jenkinsgap-jenkins/**************************************************************************** ** ** collect.h PC Werner Nickel ** nickel@mathematik.tu-darmstadt.de */ extern int UseCombiCollector; extern int UseSimpleCollector; extern int SimpleCollect(expvec lhs, word rhs, expo e); extern int CombiCollect(expvec lhs, word rhs, expo e); extern int Collect(expvec lhs, word rhs, expo e); extern word Solve(word u, word v); extern word Invert(word u); extern word Multiply(word u, word v); extern word Exponentiate(word u, int n); extern word Commutator(word u, word v); nq-2.5.4/src/pc.c0000664000371700037170000002725613441553627014735 0ustar gap-jenkinsgap-jenkins/***************************************************************************** ** ** pc.c NQ Werner Nickel ** nickel@mathematik.tu-darmstadt.de */ #include "nq.h" int Class = 0; int NrPcGens = 0; int NrCenGens = 0; int *Dimension = NULL; word *Generators = NULL; int *Weight = NULL; gen *Commute = NULL; gen *Commute2 = NULL; gen **CommuteList = NULL; gen **Commute2List = NULL; int *NrPcGensList = NULL; expo *Exponent = NULL; word *Power = NULL; word **Conjugate = NULL; def *Definition = NULL; char **PcGenName = NULL; /* ** InitPcPres() initializes those parts of pc-presentation which are ** not initialized in elimMap(). */ void InitPcPres(void) { long i, j, t = 0; if (Verbose) t = RunTime(); Class = 1; Generators = (word*)malloc((2 * NrCenGens + 1) * sizeof(word)); if (Generators == (word*)0) { perror("InitPcPres(), Generators"); exit(2); } Generators += NrCenGens; for (i = -NrCenGens; i <= NrCenGens; i++) { if (i == 0) continue; Generators[i] = (word)malloc(2 * sizeof(gpower)); if (Generators[i] == (word)0) { perror("InitPcPres(), Generators[]"); exit(2); } Generators[i][0].g = i; Generators[i][0].e = (expo)1; Generators[i][1].g = EOW; Generators[i][1].e = (expo)0; } PcGenName = (char **)Allocate((NrCenGens + 1) * sizeof(char *)); Dimension = (int*)malloc((Class + 1) * sizeof(int)); if (Dimension == (int*)0) { perror("InitPcPres(), Dimension"); exit(2); } Dimension[Class] = NrCenGens; Conjugate = (word**)malloc((2 * NrCenGens + 1) * sizeof(word*)); if (Conjugate == (word**)0) { perror("InitPcPres(), Conjugate"); exit(2); } Conjugate += NrCenGens; for (j = 1; j <= NrCenGens; j++) { /* the length of Conjugate[j] is 2*(j-1)+1 */ Conjugate[j] = (word*)malloc((2 * j - 1) * sizeof(word)); if (Conjugate[j] == (word*)0) { perror("InitPcPres(), Conjugate[]"); exit(2); } Conjugate[j] += j - 1; for (i = -(j - 1); i <= j - 1; i++) Conjugate[j][i] = Generators[j]; if (Exponent[j] == (expo)0) { Conjugate[-j] = (word*)malloc((2 * j - 1) * sizeof(word)); if (Conjugate[-j] == (word*)0) { perror("InitPcPres(), Conjugate[]"); exit(2); } Conjugate[-j] += j - 1; for (i = -(j - 1); i <= j - 1; i++) Conjugate[-j][i] = Generators[-j]; } } /* Here central generators change their status to pc-generators. */ NrPcGens += NrCenGens; NrCenGens = 0; if (Verbose) printf("# Initialized pc-presentation (%ld msec).\n", RunTime() - t); } void ExtPcPres(void) { long i, j, c, N, oldsize, newsize, t = 0; word *tmp, **ttmp; if (Verbose) t = RunTime(); Class++; Weight = (int *)realloc(Weight, (NrPcGens + NrCenGens + 1) * sizeof(int)); if (Weight == (int *)0) { perror("InitPcPres, Weight"); exit(2); } tmp = (word*)malloc((2 * (NrPcGens + NrCenGens) + 1) * sizeof(word)); if (tmp == (word *)0) { perror("InitPcPres(), tmp"); exit(2); } tmp += NrPcGens + NrCenGens; for (i = -(NrPcGens + NrCenGens); i <= (NrPcGens + NrCenGens); i++) { if (i == 0) continue; if (i > NrPcGens) Weight[i] = Class; if (i < -NrPcGens || i > NrPcGens) { tmp[i] = (word)malloc(2 * sizeof(gpower)); if (tmp[i] == (word)0) { perror("InitPcPres(), tmp[]"); exit(2); } tmp[i][0].g = i; tmp[i][0].e = (expo)1; tmp[i][1].g = EOW; tmp[i][1].e = (expo)0; } else tmp[i] = Generators[i]; } free(Generators - NrPcGens); Generators = tmp; Dimension = (int*)realloc(Dimension, (Class + 1) * sizeof(int)); if (Dimension == (int*)0) { perror("InitPcPres(), Dimension"); exit(2); } Dimension[Class] = NrCenGens; /* Now Conjugate[] has to be enlarged. */ ttmp = (word**)malloc((2 * (NrPcGens + NrCenGens) + 1) * sizeof(word*)); if (ttmp == (word**)0) { perror("extPcPres(), tmp"); exit(2); } ttmp += NrPcGens + NrCenGens; /* The contents of Conjugate[] must be copied to the new array. */ for (i = -NrPcGens; i <= NrPcGens; i++) ttmp[i] = Conjugate[i]; free(Conjugate - NrPcGens); Conjugate = ttmp; /* ** The next nilpotency class to be calculated is Class+1. Therefore ** commutators of weight Class+1, which are currently trivial, will ** get new generators and tails. For the corresponding conjugates ** space must be created in the array Conjugate[]. ** ** Only those entries in Conjugate[] which do not have exceeded their ** maximal length yet must be enlarged. This business is a little ** bit tricky because the amount by which Conjugate[N], for a ** generator N, has to be enlarged depends on the class of N. ** The generators of highest class do not yet have any conjugates. They ** will get a conjugate relation for each generator of weight 1, ** therefore the size of the array for those generators is ** 2*Dimension[1]+1. The array for generators of Class-1 has to be ** enlarged by 2*Dimension[2] and so on. */ N = NrPcGens + NrCenGens; newsize = 0; for (c = Class; c > Class - c; c--) { oldsize = newsize; /* Compute the new size of the array for generators of class c. ** Those generators get a new conjugate relation for each generator ** of weight Class-c+1. */ newsize += Dimension[ Class - c + 1 ]; for (i = 1; i <= Dimension[c]; i++) { tmp = (word*)malloc((2 * min(N - 1, newsize) + 1) * sizeof(word)); if (tmp == (word*)0) { perror("extPcPres(), tmp"); exit(2); } tmp += min(N - 1, newsize); if (c < Class) { /* Copy the contents to the new array. */ for (j = -oldsize; j <= oldsize; j++) tmp[j] = Conjugate[N][j]; free(Conjugate[N] - oldsize); } Conjugate[N] = tmp; /* Initialise the new space. */ for (j = oldsize + 1; j <= min(N - 1, newsize); j++) Conjugate[N][j] = Conjugate[N][-j] = Generators[N]; if (Exponent[ N ] != (expo)0) { N--; continue; } /* If the generator N is of infinite order, it also has ** conjugate relations `on the other side'. All that has to ** be done is exactly the same as before just for negative N. */ tmp = (word*)malloc((2 * min(N - 1, newsize) + 1) * sizeof(word)); if (tmp == (word*)0) { perror("extPcPres(), tmp"); exit(2); } tmp += min(N - 1, newsize); if (c < Class) { for (j = -oldsize; j <= oldsize; j++) tmp[j] = Conjugate[-N][j]; free(Conjugate[-N] - oldsize); } Conjugate[-N] = tmp; for (j = oldsize + 1; j <= min(N - 1, newsize); j++) Conjugate[-N][j] = Conjugate[-N][-j] = Generators[-N]; N--; } } /* Now the central generators have conjugate relations and so they ** change their status to pc-generators. */ NrPcGens += NrCenGens; NrCenGens = 0; if (Verbose) printf("# Extended pc-presentation (%ld msec).\n", RunTime() - t); } void PrintPcPres(void) { gen g; long i, j, first = 1; if (Gap) putchar('#'); printf(" <"); for (i = 1; i <= NrPcGens; i++) { printGen(i, 'A'); if (i < NrPcGens + NrCenGens) putchar(','); } printf("\n"); if (Gap) putchar('#'); printf(" "); for (; i <= NrPcGens + NrCenGens; i++) { printGen(i, 'A'); if (i < NrPcGens + NrCenGens) putchar(','); } printf(" |"); for (i = 1; i <= NrPcGens + NrCenGens; i++) { if (Exponent[i] != (expo)0) { if (first) { putchar('\n'); first = 0; } else printf(",\n"); if (Gap) putchar('#'); printf(" "); printGen(i, 'A'); printf("^"EXP_FORMAT, Exponent[i]); if (Power[i] != (word)0 && Power[i]->g != EOW) { printf(" = "); printWord(Power[i], 'A'); } } } for (j = 1; j <= NrPcGens; j++) { i = 1; while (i < j && Wt(i) + Wt(j) <= Class + (NrCenGens == 0 ? 0 : 1)) { /* print Conjugate[j][i] */ if (first) { putchar('\n'); first = 0; } else printf(",\n"); if (Gap) putchar('#'); printf(" "); printGen(j, 'A'); putchar('^'); printGen(i, 'A'); if ((g = Conjugate[j][i][1].g) != EOW && Definition[g].h == j && Definition[g].g == i) printf(" =: "); else printf(" = "); printWord(Conjugate[j][i], 'A'); if (Exponent[i] == (expo)0) { if (first) { putchar('\n'); first = 0; } else printf(",\n"); if (Gap) putchar('#'); printf(" "); printGen(j, 'A'); putchar('^'); putchar('('); printGen(i, 'A'); printf("^-1) = "); printWord(Conjugate[j][-i], 'A'); } if (0 && Exponent[j] == (expo)0) { if (first) { putchar('\n'); first = 0; } else printf(",\n"); if (Gap) putchar('#'); printf(" "); putchar('('); printGen(j, 'A'); printf("^-1)^"); printGen(i, 'A'); printf(" = "); printWord(Conjugate[-j][i], 'A'); } if (0 && Exponent[i] + Exponent[j] == (expo)0) { if (first) { putchar('\n'); first = 0; } else printf(",\n"); if (Gap) putchar('#'); printf(" "); putchar('('); printGen(j, 'A'); printf("^-1)^"); putchar('('); printGen(i, 'A'); printf("^-1) = "); printWord(Conjugate[-j][-i], 'A'); } i++; } } printf(" >\n"); printf("\n# Class : %d\n", Class); printf("# Nr of generators of each class :"); for (i = 1; i <= Class; i++) printf(" %d", Dimension[i]); printf("\n"); } void PrintDefs(void) { int i; gen g, h, comm[1000]; for (g = 1; g <= NrPcGens; g++) if (Definition[g].h > 0) { printf("# "); printGen(g, 'A'); printf(" := "); if (Definition[g].g == 0) { /* The definition is a power relation. */ printGen(Definition[g].h, 'A'); printf("^"); printf(EXP_FORMAT"\n", Exponent[ Definition[g].h ]); } else { /* The definition is a commutator relation. */ i = 0; h = g; while (Definition[h].h > 0) { comm[i++] = Definition[h].g; h = Definition[h].h; } comm[i++] = h; printf("[ "); while (--i > 0) { printGen(comm[i], 'A'); printf(", "); } printGen(comm[i], 'A'); printf(" ]\n"); } } } #if 0 void sizePcPres(void) { int size = 0, nrPt = 0; gen g, h; nrPt += 1; size += sizeof(gpower); /* Identty */ /* First calculate the size of all those arrays. */ nrPt += 1; size += Class * sizeof(int); /* Dimension[]. */ nrPt += 1 + 2 * NrPcGens; size += (2 * NrPcGens + 1) * sizeof(word); /* Generators[]. */ size += 2 * NrPcGens * 2 * sizeof(gpower); /* Generators. */ nrPt += 1; size += NrPcGens * sizeof(int); /* Weight[]. */ nrPt += 1; size += NrPcGens * sizeof(gen); /* Commute[]. */ nrPt += 1; size += NrPcGens * sizeof(expo); /* Exponent[]. */ nrPt += 1; size += NrPcGens * sizeof(Definition); /* Definition[]. */ nrPt += 1; size += NrPcGens * sizeof(word); /* Power[]. */ for (g = 1; g <= NrPcGens; g++) if (Exponent[g] != (expo)0) { nrPt += 1; size += sizeof(gpower) * (WordLength(Power[g]) + 1); } nrPt += 1; size += (2 * NrPcGens + 1) * sizeof(word*); /* Conjugate[]. */ for (h = 1; h <= NrPcGens; h++) { nrPt += 1; size += sizeof(word); if (Exponent[h] == (expo)0) { nrPt += 1; size += sizeof(word); } for (g = 1; g < h; g++) if (Wt(h) + Wt(g) <= Class + (NrCenGens == 0 ? 0 : 1)) { nrPt += 1; size += sizeof(word); size += sizeof(gpower) * (WordLength(Conjugate[h][g]) + 1); if (Exponent[h] == (expo)0) { nrPt += 1; size += sizeof(word); size += sizeof(gpower) * (WordLength(Conjugate[-h][ g]) + 1); } if (Exponent[g] == (expo)0) { nrPt += 1; size += sizeof(word); size += sizeof(gpower) * (WordLength(Conjugate[ h][-g]) + 1); } if (Exponent[h] + Exponent[g] == (expo)0) { nrPt += 1; size += sizeof(word); size += sizeof(gpower) * (WordLength(Conjugate[-h][-g]) + 1); } } } printf("size of the presentation : %d bytes\n", size); printf("pointers in the presentation : %d\n", nrPt); } #endif nq-2.5.4/src/addgen.c0000664000371700037170000001353413441553627015547 0ustar gap-jenkinsgap-jenkins/***************************************************************************** ** ** addgen.c NQ Werner Nickel ** nickel@mathematik.tu-darmstadt.de */ #include "config.h" #include "nq.h" #include "presentation.h" #include "relations.h" /* for ExtendEpim */ /* ** Set up a list of Commute[] arrays. The array in CommuteList[c] is ** Commute[] as if the current group had class c. CommuteList[Class+1][] ** is the same as Commute[]. */ void SetupCommuteList(void) { int c; gen g, h; if (CommuteList != (gen**)0) { for (c = 1; c <= Class; c++) Free(CommuteList[c]); Free(CommuteList); } CommuteList = (gen**)Allocate((Class + 2) * sizeof(gen*)); for (c = 1; c <= Class + 1; c++) { CommuteList[ c ] = (gen*)Allocate((NrPcGens + NrCenGens + 1) * sizeof(gen)); for (g = 1; g <= NrPcGens; g++) { for (h = g + 1; Wt(g) + Wt(h) <= c; h++) ; CommuteList[c][g] = h - 1; } for (; g <= NrPcGens + NrCenGens; g++) CommuteList[c][g] = g; } } void SetupCommute2List(void) { int c; gen g, h; if (Commute2List != (gen**)0) { for (c = 1; c <= Class; c++) Free(Commute2List[c]); Free(Commute2List); } Commute2List = (gen**)Allocate((Class + 2) * sizeof(gen*)); for (c = 1; c <= Class + 1; c++) { Commute2List[ c ] = (gen*)Allocate((NrPcGens + NrCenGens + 1) * sizeof(gen)); for (g = 1; g <= NrPcGens && 3 * Wt(g) <= c; g++) { for (h = CommuteList[c][g]; h > g && 2 * Wt(h) + Wt(g) > c; h--) ; Commute2List[c][g] = h; } for (; g <= NrPcGens + NrCenGens; g++) Commute2List[c][g] = g; } } void SetupNrPcGensList(void) { int c; if (NrPcGensList != (int *)0) Free(NrPcGensList); NrPcGensList = (int *)Allocate((Class + 2) * sizeof(int)); if (Class == 0) { NrPcGensList[ Class + 1 ] = NrCenGens; return; } NrPcGensList[1] = Dimension[1]; for (c = 2; c <= Class; c++) NrPcGensList[ c ] = NrPcGensList[c - 1] + Dimension[c]; NrPcGensList[ Class + 1 ] = NrPcGensList[ Class ] + NrCenGens; printf("## Sizes:"); for (c = 1; c <= Class + 1; c++) printf(" %d", NrPcGensList[c]); printf("\n"); } /* ** Add new/pseudo generators to the power conjugate presentation. */ void AddGenerators(void) { long t = 0; gen i, j; int l, G; word w; if (Verbose) t = RunTime(); G = NrPcGens; /* ** Extend the definitions array by a safe amount. We could compute ** the exact number of new generators to be introduced, but is it ** worth the effort? */ Definition = (def*)realloc(Definition, (G + (Dimension[1] + 1) * NrPcGens + 1 + NumberOfAbstractGens()) * sizeof(def)); if (Definition == (def*)0) { perror("AddGenerators(), Definition"); exit(2); } G += ExtendEpim(); /* Firstly mark all definitions in the pc-presentation. */ for (j = Dimension[1] + 1; j <= NrPcGens; j++) Conjugate[ Definition[j].h ][ Definition[j].g ] = (word)((unsigned long) (Conjugate[Definition[j].h][Definition[j].g]) | 0x1); /* Secondly new generators are defined. */ /* Powers */ for (j = 1; j <= NrPcGens; j++) if (Exponent[j] != (expo)0) { G++; l = 0; if (Power[j] != (word)0) l = WordLength(Power[ j ]); w = (word)malloc((l + 2) * sizeof(gpower)); if (Power[j] != (word)0) WordCopy(Power[ j ], w); w[l].g = G; w[l].e = (expo)1; w[l + 1].g = EOW; w[l + 1].e = (expo)0; if (Power[ j ] != (word)0) free(Power[ j ]); Power[ j ] = w; Definition[ G ].h = j; Definition[ G ].g = (gen)0; if (Verbose) { printf("# generator %d = ", G); printGen(j, 'A'); printf("^"EXP_FORMAT"\n", Exponent[j]); } } /* Conjugates */ /* New/pseudo generators are only defined for commutators of the ** form [x,1], the rest is computed in Tails(). */ for (j = 1; j <= NrPcGens; j++) for (i = 1; i <= min(j - 1, Dimension[1]); i++) if (!((unsigned long)(Conjugate[j][i]) & 0x1)) { G++; l = WordLength(Conjugate[ j ][ i ]); w = (word)malloc((l + 2) * sizeof(gpower)); WordCopy(Conjugate[j][i], w); w[l].g = G; w[l].e = (expo)1; w[l + 1].g = EOW; w[l + 1].e = (expo)0; if (Conjugate[j][i] != Generators[j]) free(Conjugate[j][i]); Conjugate[j][i] = w; Definition[ G ].h = j; Definition[ G ].g = i; if (Verbose) { printf("# generator %d = [", G); printGen(j, 'A'); printf(", "); printGen(i, 'A'); printf("]\n"); } } if (G == NrPcGens) { printf("## Warning : no new generators in addGenerators()\n"); return; } /* Thirdly remove the marks from the definitions.*/ for (j = Dimension[1] + 1; j <= NrPcGens; j++) Conjugate[Definition[j].h][Definition[j].g] = (word)((unsigned long) (Conjugate[Definition[j].h][Definition[j].g]) & ~0x1); /* Fourthly enlarge the necessary arrays, so that the collector works. */ /* Shrink Definition[] to the right size. */ Definition = (def*)realloc(Definition, (G + 1) * sizeof(def)); /* Enlarge Exponent[] ... */ Exponent = (expo *)realloc(Exponent, (G + 1) * sizeof(expo)); if (Exponent == (expo *)0) { perror("addGenerators(), Exponent"); exit(2); } for (i = NrPcGens + 1; i <= G; i++) Exponent[i] = (expo)0; /* ... and Power[]. */ Power = (word *)realloc(Power, (G + 1) * sizeof(word)); if (Power == (word *)0) { perror("addGenerators(), Power"); exit(2); } for (i = NrPcGens + 1; i <= G; i++) Power[i] = (word)0; Weight = (int *)realloc(Weight, (G + 1) * sizeof(long)); if (Weight == (int *)0) { perror("addGenerators(), Weight"); exit(2); } for (i = NrPcGens + 1; i <= G; i++) Weight[i] = Class + 1; NrCenGens = G - NrPcGens; SetupCommuteList(); SetupCommute2List(); SetupNrPcGensList(); Commute = CommuteList[ Class + 1 ]; Commute2 = Commute2List[ Class + 1 ]; if (Verbose) printf("# Added new/pseudo generators (%ld msec).\n", RunTime() - t); } nq-2.5.4/src/time.c0000664000371700037170000000135313441553627015257 0ustar gap-jenkinsgap-jenkins/***************************************************************************** ** ** time.c NQ Werner Nickel ** nickel@mathematik.tu-darmstadt.de */ #include "config.h" #include "time.h" #include int CombiCollectionTime = 0; int SimpleCollectionTime = 0; int IntMatTime = 0; void PrintCollectionTimes(void) { if (CombiCollectionTime > 0) printf("## Total time spent in combinatorial collection: %d\n", CombiCollectionTime); if (SimpleCollectionTime > 0) printf("## Total time spent in simple collection: %d\n", SimpleCollectionTime); printf("## Total time spent on integer matrices: %d\n", IntMatTime); } nq-2.5.4/src/presentation.h0000664000371700037170000000423413441553627017042 0ustar gap-jenkinsgap-jenkins/**************************************************************************** ** ** presentation.h Presentation Werner Nickel ** nickel@mathematik.tu-darmstadt.de */ #ifndef PRESENTATION_H #define PRESENTATION_H #include #include #include #include "mem.h" #include "genexp.h" #include "pc.h" /* for Class */ /* ** The following are used as first argument to the function ** SetEvalFunction(). */ typedef enum { TNUM, TGEN, TMULT, TPOW, TCONJ, TCOMM, TREL, TDRELL, TDRELR, TENGEL, TLAST } EvalType; typedef word (*EvalFunc)(word a, void *b); /* ** The following data structure will represent a node in an expression ** tree. The component type can indicate 3 basic objects : numbers, ** generators and binary operators. There are currently 5 binary ** operations. There is now place to also hold a ternary operation: Engel ** commutators. */ struct _node { EvalType type; union { int n; /* stores numbers */ gen g; /* stores generators */ struct { struct _node *l, *r; /* stores bin ops */ struct _node *e; /* and Engel relations */ } op; } cont; }; typedef struct _node node; extern void PrintGen(gen g); extern void PrintPresentation(FILE *fp); extern void Presentation(FILE *fp, const char *filename); extern node *ReadWord(void); extern const char *GenName(gen g); extern int NumberOfAbstractGens(void); extern int NumberOfIdenticalGens(void); extern int NumberOfGens(void); extern int NumberOfRels(void); extern node *FirstRelation(void); extern node *NextRelation(void); extern node *CurrentRelation(void); extern node *NthRelation(int n); extern void SetEvalFunc(EvalType type, EvalFunc function); extern void **EvalRelations(void); extern void *EvalNode(node *n); extern void FreeNode(node *n); extern void PrintNode(node *n); extern void InitPrint(FILE *); extern int NrIdenticalGensNode; extern gen *IdenticalGenNumberNode; extern int NumberOfIdenticalGensNode(node *n); #endif nq-2.5.4/src/trmetab.c0000664000371700037170000001006013441553627015752 0ustar gap-jenkinsgap-jenkins/**************************************************************************** ** ** trmetab.c NQ Werner Nickel ** nickel@mathematik.tu-darmstadt.de */ #include "nq.h" #include "engel.h" #include "glimt.h" static int NrWords = 0; static int TrMetAb = 0; static void Error(word v, word w) { printf("Overflow in collector computing [ "); printWord(v, 'a'); printWord(w, 'a'); printf(" ]\n"); } static void eval8Power(word u) { word uu; int needed; /* printf( "eval8Power() called with : " ); printWord( u, 'A' ); putchar( '\n' ); */ uu = Exponentiate(u, 8); needed = addRow(ExpVecWord(uu)); if (needed) { printf("# ("); printWord(u, 'A'); printf(")^8\n"); } free(uu); } static void evalTrMetAbRel(word *ul) { word u, uu, vv; long i, needed; /* printf( "evalTrMetAbRel() called with : " ); for( i = 0; i < 6; i++ ) { printWord( ul[i], 'A' ); printf( " " ); } putchar( '\n' ); */ NrWords++; /* Calculate [ [ ul[0], ul[1] ], ul[2] ] */ if ((u = Commutator(ul[0], ul[1])) == (word)0) { Error(ul[0], ul[1]); return; } if ((uu = Commutator(u, ul[2])) == (word)0) { Error(u, ul[2]); return; } free(u); /* Calculate [ [ ul[3], ul[4] ], ul[5] ] */ if ((u = Commutator(ul[3], ul[4])) == (word)0) { Error(ul[3], ul[4]); return; } if ((vv = Commutator(u, ul[5])) == (word)0) { Error(u, ul[5]); return; } free(u); u = Commutator(uu, vv); free(uu); free(vv); needed = addRow(ExpVecWord(u)); if (needed) { printf("# [ ["); for (i = 0; i < 3; i++) { printWord(ul[i], 'A'); if (i != 2) printf(","); } printf("], ["); for (i = 3; i < 6; i++) { printWord(ul[i], 'A'); if (i != 5) printf(","); } printf("] ]\n"); } free(u); } static void buildTuple(word *ul, long i, gen g, long wt, long which) { long save_wt; word u; if (wt == 0 && which == 5 && i > 0) { eval8Power(ul[5]); } if (wt == 0 && which == 0 && i > 0) { evalTrMetAbRel(ul); return; } if (i > 0 && which > 0) buildTuple(ul, 0, 1, wt, which - 1); if (g > NrPcGens) return; save_wt = wt; u = ul[ which ]; while (!EarlyStop && g <= NrPcGens && Wt(g) <= wt) { u[i].g = g; u[i].e = (expo)0; u[i + 1].g = EOW; while (!EarlyStop && Wt(g) <= wt) { u[i].e++; if (Exponent[g] > (expo)0 && Exponent[g] == u[i].e) break; wt -= Wt(g); buildTuple(ul, i + 1, g + 1, wt, which); /* now build the same word with negative exponent */ if (!EarlyStop && !SemigroupOnly && Exponent[g] == (expo)0) { u[i].g *= -1; buildTuple(ul, i + 1, g + 1, wt, which); u[i].g *= -1; } } wt = save_wt; g++; } u[i].g = EOW; u[i].e = (expo)0; if (EarlyStop || SemigroupOnly || !SemigroupFirst) return; while (!EarlyStop && g <= NrPcGens && Wt(g) <= wt) { u[i].g = -g; u[i].e = (expo)0; u[i + 1].g = EOW; while (!EarlyStop && Wt(g) <= wt) { u[i].e++; if (Exponent[g] > (expo)0 && Exponent[g] == u[i].e) break; wt -= Wt(g); buildTuple(ul, i + 1, g + 1, wt, which); if (EarlyStop) return; /* now build the same word with negative exponent */ if (!EarlyStop && !SemigroupOnly && Exponent[g] == (expo)0) { u[i].g *= -1; buildTuple(ul, i + 1, g + 1, wt, which); u[i].g *= -1; } } wt = save_wt; g++; } u[i].g = EOW; u[i].e = (expo)0; } void EvalTrMetAb(void) { word u, ul[6]; int i, c; if (!TrMetAb) return; for (i = 0; i < 6; i++) ul[i] = (word)Allocate((NrPcGens + NrCenGens + 1) * sizeof(gpower)); u = ul[0]; for (i = 1; i <= NrCenGens; i++) { u[0].g = i; u[0].e = (expo)1; u[1].g = EOW; u[1].e = (expo)0; eval8Power(u); } for (c = 2; !EarlyStop && c <= Class + 1; c++) { for (i = 0; i < 6; i++) { ul[i][0].g = EOW; ul[i][0].e = (expo)0; } NrWords = 0; if (Verbose) printf("# Checking tuples of words of weight %d\n", c); buildTuple(ul, 0, 1, c, 5); if (Verbose) printf("# Checked %d words.\n", NrWords); } for (i = 0; i < 6; i++) free(ul[i]); } void InitTrMetAb(int t) { TrMetAb = t; } nq-2.5.4/src/engel.c0000664000371700037170000002253213441553627015415 0ustar gap-jenkinsgap-jenkins/**************************************************************************** ** ** engel.c NQ Werner Nickel ** nickel@mathematik.tu-darmstadt.de */ #include "nq.h" #include "engel.h" #include "presentation.h" #include "glimt.h" static int LeftEngel = 0, RightEngel = 0, Engel = 0; static int RevEngel = 0; static int NrEngelGens = 0; static int NrWords; static int Needed; static word A; int SemigroupOnly = 0; int SemigroupFirst = 0; int CheckFewInstances = 0; int ReverseOrder = 0; static void Error(word v, word w, char type) { printf("Overflow in collector computing [ "); printWord(v, 'a'); if (type == 'e') printf(" , %d ", Engel); if (type == 'l') printf(" , %d ", LeftEngel); if (type == 'r') printf(" , %d ", RightEngel); printWord(w, 'a'); printf(" ]\n"); } word EngelCommutator(word v, word w, int engel) { long n; word v1; if (Class + 1 < engel) { v1 = (word)Allocate(sizeof(gpower)); v1[0].g = EOW; v1[0].e = (expo)0; return v1; } /* ** If the current class reaches the weight of the engel condition, ** then we want to speed up the evaluation of the engel relations by ** evaluating each commutator only with the required precision. The ** last commutator of an Engel-n commutator has to be evaluated in ** class (Class+1) quotient (i.e. the full group), the second last in ** the class Class quotient, etc. The first commutator has to be ** evaluated in the class (Class+1-(n-1)) quotient. See also the ** function SetupCommuteList() in addgen.c */ n = 1; Class = Class - (engel - 1); if ((v = Commutator(v, w)) == (word)0) return (word)0; n++; while (n <= engel) { Class++; if ((v1 = Commutator(v, w)) == (word)0) return (word)0; Free(v); v = v1; n++; } return v; } static void evalEngelRel(word v, word w) { word comm; long needed; /* printf( "evalEngelRel() called with : " ); printWord( v, 'A' ); printf( " " ); printWord( w, 'A' ); putchar( '\n' ); */ NrWords++; /* Calculate [ v, w, .., w ] */ if ((comm = EngelCommutator(v, w, Engel)) == (word)0) { Error(v, w, 'e'); return; } needed = addRow(ExpVecWord(comm)); if (needed) { printf("# [ "); printWord(v, 'a'); printf(", %d ", Engel); printWord(w, 'a'); printf(" ]\n"); } if (CheckFewInstances) Needed |= needed; else Needed = 1; Free(comm); } static void buildPairs(word u, long i, gen g, word v, long wt, long which) { long save_wt; /* First we check if the Engel condition is trivially satisfied for weight reasons. The commutator [u, n v] is 1 if w(u) + n*w(v) > Class+1. */ if (which == 1 && i == 1 && Wt(abs(u[0].g)) + Engel * Wt(abs(v[0].g)) > Class + 1) return; if (wt == 0 && which == 1 && i > 0) { evalEngelRel(u, v); return; } /* Keep u and start to build v. */ if (i > 0 && which == 2) buildPairs(v, 0, 1, u, wt, 1); if (g > NrPcGens) return; save_wt = wt; while (!EarlyStop && g <= NrPcGens && Wt(g) <= Class + 1 - Engel && Wt(g) <= wt) { u[i].g = g; u[i].e = (expo)0; u[i + 1].g = EOW; while (!EarlyStop && Wt(g) <= wt) { u[i].e++; if (Exponent[g] > (expo)0 && Exponent[g] == u[i].e) break; wt -= Wt(g); buildPairs(u, i + 1, g + 1, v, wt, which); /* now build the same word with negative exponent */ if (!EarlyStop && !SemigroupOnly && Exponent[g] == (expo)0) { u[i].g *= -1; buildPairs(u, i + 1, g + 1, v, wt, which); u[i].g *= -1; } } wt = save_wt; g++; } u[i].g = EOW; u[i].e = (expo)0; if (EarlyStop || SemigroupOnly || !SemigroupFirst) return; while (!EarlyStop && g <= NrPcGens && Wt(g) <= Class + 1 - Engel && Wt(g) <= wt) { u[i].g = -g; u[i].e = (expo)0; u[i + 1].g = EOW; while (!EarlyStop && Wt(g) <= wt) { u[i].e++; if (Exponent[g] > (expo)0 && Exponent[g] == u[i].e) break; wt -= Wt(g); buildPairs(u, i + 1, g + 1, v, wt, which); if (EarlyStop) return; /* now build the same word with negative exponent */ if (!EarlyStop && !SemigroupOnly && Exponent[g] == (expo)0) { u[i].g *= -1; buildPairs(u, i + 1, g + 1, v, wt, which); u[i].g *= -1; } } wt = save_wt; g++; } u[i].g = EOW; u[i].e = (expo)0; } static void evalEngel(void) { word u, v; long c; u = (word)Allocate((NrPcGens + NrCenGens + 1) * sizeof(gpower)); v = (word)Allocate((NrPcGens + NrCenGens + 1) * sizeof(gpower)); /* For `production purposes' I don't want to run through */ /* those classes that don't yield non-trivial instances of the */ /* Engel law. Therefore, we stop as soon as we ran through a */ /* class that didn't yield any non-trivial instances. This is */ /* done through the static variable Needed which is set by */ /* evalEngelRel() as soon as a non-trivial instance has been */ /* found if the flag CheckFewInstances (option -c) is set. */ if (ReverseOrder) for (c = Class + 1; !EarlyStop && c >= 2; c--) { u[0].g = EOW; u[0].e = (expo)0; v[0].g = EOW; v[0].e = (expo)0; NrWords = 0; if (Verbose) printf("# Checking pairs of words of weight %ld\n", c); buildPairs(u, 0, 1, v, c, 2); if (Verbose) printf("# Checked %d words.\n", NrWords); } else { Needed = 1; for (c = 2; !EarlyStop && Needed && c <= Class + 1; c++) { Needed = 0; u[0].g = EOW; u[0].e = (expo)0; v[0].g = EOW; v[0].e = (expo)0; NrWords = 0; if (Verbose) printf("# Checking pairs of words of weight %ld\n", c); buildPairs(u, 0, 1, v, c, 2); if (Verbose) printf("# Checked %d words.\n", NrWords); } for (; !EarlyStop && c <= Class + 1; c++) printf("# NOT checking pairs of words of weight %ld\n", c); } free(u); free(v); } static void evalRightEngelRel(word w) { word comm; long n, needed; /* printf( "evalRightEngelRel() called with : " );*/ /* printWord( w, 'A' );*/ /* putchar( '\n' );*/ NrWords++; /* Calculate [ a, w, .., w ] */ if ((comm = EngelCommutator(A, w, RightEngel)) == (word)0) { Error(A, w, 'r'); return; } needed = addRow(ExpVecWord(comm)); if (needed) { printf("# [ "); printWord(A, 'a'); for (n = RightEngel - 1; n >= 0; n--) { printf(", "); printWord(w, 'a'); } printf(" ]\n"); } if (CheckFewInstances) Needed |= needed; else Needed = 1; Free(comm); } static void evalLeftEngelRel(word w) { word comm; long n, needed; /* printf( "evalLeftEngelRel() called with : " );*/ /* printWord( w, 'A' );*/ /* putchar( '\n' );*/ NrWords++; /* Calculate [ w, a, .., a ] */ if ((comm = EngelCommutator(w, A, LeftEngel)) == (word)0) { Error(w, A, 'l'); return; } needed = addRow(ExpVecWord(comm)); if (needed) { printf("# [ "); printWord(w, 'a'); for (n = LeftEngel - 1; n >= 0; n--) { printf(", "); printWord(A, 'a'); } printf(" ]\n"); } if (CheckFewInstances) Needed |= needed; else Needed = 1; Free(comm); } static void buildWord(word u, long i, gen g, long wt) { long save_wt; if (wt == 0 && i > 0) { if (RightEngel) evalRightEngelRel(u); if (LeftEngel) evalLeftEngelRel(u); return; } if (g > NrPcGens) return; save_wt = wt; while (!EarlyStop && g <= NrPcGens && Wt(g) <= wt) { u[i].g = g; u[i].e = (expo)0; u[i + 1].g = EOW; while (!EarlyStop && Wt(g) <= wt) { u[i].e++; if (Exponent[g] > (expo)0 && Exponent[g] == u[i].e) break; wt -= Wt(g); buildWord(u, i + 1, g + 1, wt); /* now build the same word with negative exponent */ if (!EarlyStop && !SemigroupOnly && !SemigroupFirst && Exponent[g] == (expo)0) { u[i].g *= -1; buildWord(u, i + 1, g + 1, wt); u[i].g *= -1; } } wt = save_wt; g++; } u[i].g = EOW; u[i].e = (expo)0; if (EarlyStop || SemigroupOnly || !SemigroupFirst) return; while (!EarlyStop && g <= NrPcGens && Wt(g) <= wt) { u[i].g = -g; u[i].e = (expo)0; u[i + 1].g = EOW; while (!EarlyStop && Wt(g) <= wt) { u[i].e++; if (Exponent[g] > (expo)0 && Exponent[g] == u[i].e) break; wt -= Wt(g); buildWord(u, i + 1, g + 1, wt); } wt = save_wt; g++; } u[i].g = EOW; u[i].e = (expo)0; } static void evalLREngel(void) { word u; int n; long cl; A = (word)Allocate(2 * sizeof(gpower)); u = (word)Allocate((NrPcGens + NrCenGens + 1) * sizeof(gpower)); for (n = 1; !EarlyStop && n <= NrEngelGens; n++) { if (RevEngel) A[0].g = NumberOfAbstractGens() - n + 1; else A[0].g = n; A[0].e = (expo)1; A[1].g = EOW; A[1].e = (expo)0; Needed = 1; for (cl = 2; !EarlyStop && Needed && cl <= Class + 1; cl++) { Needed = 0; u[0].g = EOW; u[0].e = (expo)0; NrWords = 0; if (Verbose) printf("# Checking words of weight %ld\n", cl - 1); buildWord(u, 0, 1, cl - 1); if (Verbose) printf("# Checked %d words.\n", NrWords); } for (; !EarlyStop && cl <= Class + 1; cl++) printf("# NOT checking words of weight %ld\n", cl); } free(u); free(A); } void EvalEngel(void) { long t = 0; if (Verbose) t = RunTime(); if (LeftEngel || RightEngel) evalLREngel(); if (Engel) evalEngel(); if (Verbose) printf("# Evaluated Engel condition (%ld msec).\n", RunTime() - t); } void InitEngel(int l, int r, int v, int e, int n) { LeftEngel = l; RightEngel = r; RevEngel = v; Engel = e; NrEngelGens = n; } nq-2.5.4/src/relations.c0000664000371700037170000001753213441553627016327 0ustar gap-jenkinsgap-jenkins/***************************************************************************** ** ** relations.c NQ Werner Nickel ** nickel@mathematik.tu-darmstadt.de */ #include #include "relations.h" #include "nq.h" #include "glimt.h" #include "instances.h" static word *Image; int EvalSingleRelation(node *r) { word w; expvec ev; int needed; if ((w = (word)EvalNode(r)) != (void *)0) { ev = ExpVecWord(w); Free(w); needed = addRow(ev); } else { printf("Evaluation "); if (!Verbose) { printf("of "); PrintNode(r); } printf("failed.\n"); needed = 0; } return needed; } void EvalAllRelations(void) { long t = 0; node *r; if (Verbose) t = RunTime(); r = FirstRelation(); while (!EarlyStop && r != (node *)0) { if (Verbose) { printf("# Evaluating: "); PrintNode(r); printf("\n"); } if (NumberOfIdenticalGensNode(r) > 0) EvalIdenticalRelation(r); else EvalSingleRelation(r); r = NextRelation(); } if (Verbose) printf("# Evaluated Relations (%ld msec).\n", RunTime() - t); } /* ** InitEpim() sets up the map from the generators of a finitely presented ** group onto the generators of a free abelian group. It also sets up ** the necessary data structures for collection. */ void InitEpim(void) { long i, t = 0, nrGens; if (Verbose) t = RunTime(); /* Set the number of central generators to the number of generators ** in the finite presentation. */ nrGens = NumberOfAbstractGens(); NrCenGens = nrGens; /* Initialize Exponent[]. */ Exponent = (expo*) calloc((NrCenGens + 1), sizeof(expo)); if (Exponent == (expo*)0) { perror("initEpim(), Exponent"); exit(2); } /* Initialize Weight[]. */ Weight = (int *)Allocate((NrCenGens + 1) * sizeof(int)); for (i = 1; i <= NrCenGens; i++) Weight[i] = Class + 1; /* initialize the epimorphism onto the pc-presentation. */ Image = (word*)malloc((nrGens + 1) * sizeof(word)); if (Image == (word*)0) { perror("initEpim(), Image"); exit(2); } for (i = 1; i <= nrGens; i++) { Image[i] = (word)malloc(2 * sizeof(struct gpower)); if (Image[i] == (word)0) { perror("initEpim(), Image[]"); exit(2); } Image[i][0].g = i; Image[i][0].e = (expo)1; Image[i][1].g = EOW; Image[i][1].e = (expo)0; } SetupCommuteList(); SetupCommute2List(); SetupNrPcGensList(); Commute = CommuteList[ Class + 1 ]; Commute2 = Commute2List[ Class + 1 ]; if (Verbose) printf("# Initialized epimorphism (%ld msec).\n", RunTime() - t); } int ExtendEpim(void) { int j, l, G, nrGens; word w; G = NrPcGens; nrGens = NumberOfAbstractGens(); /* If there is an epimorphism, we have to add pseudo-generators ** to the right hand side of images which are not definitions. */ for (j = 1; j <= Dimension[1]; j++) Image[ -Definition[j].h ] = (word)((unsigned long)(Image[-Definition[j].h]) | 0x1); for (j = 1; j <= nrGens; j++) if (!((unsigned long)(Image[j]) & 0x1)) { G++; l = 0; if (Image[j] != (word)0) l = WordLength(Image[ j ]); w = (word)malloc((l + 2) * sizeof(gpower)); if (Image[j] != (word)0) WordCopy(Image[ j ], w); w[l].g = G; w[l].e = (expo)1; w[l + 1].g = EOW; w[l + 1].e = (expo)0; if (Image[ j ] != (word)0) free(Image[ j ]); Image[ j ] = w; Definition[ G ].h = -j; Definition[ G ].g = (gen)0; } for (j = 1; j <= Dimension[1]; j++) Image[ -Definition[j].h ] = (word)((unsigned long)(Image[-Definition[j].h]) & ~0x1); return G - NrPcGens; } int ElimAllEpim(int n, expvec *M, gen *renumber) { int i, j, l, nrGens; word w; nrGens = NumberOfAbstractGens(); /* first we eliminate ALL central generators that occur in the ** epimorphism. */ for (j = 1; j <= Dimension[1]; j++) Image[ -Definition[j].h ] = (word)((unsigned long)(Image[-Definition[j].h]) | 0x1); for (j = 1, i = 0; j <= nrGens; j++) if (!((unsigned long)(Image[j]) & 0x1)) { l = WordLength(Image[j]); w = (word)Allocate((l + NrCenGens + 1 - n) * sizeof(gpower)); WordCopy(Image[j], w); l--; l += appendExpVector(w[l].g + 1 - NrPcGens, M[i], w + l, renumber); if (Image[j] != (word)0) free(Image[j]); if (l == 1) { Image[j] = (word)0; free(w); } else Image[j] = (word)realloc(w, l * sizeof(gpower)); i++; } for (j = 1; j <= Dimension[1]; j++) Image[ -Definition[j].h ] = (word)((unsigned long)(Image[-Definition[j].h]) & ~0x1); return i; } void ElimEpim(void) { long i, j, h, l, n = 0, t = 0; gen *renumber; expvec *M; word w; if (Verbose) t = RunTime(); M = MatrixToExpVecs(); renumber = (gen*) calloc((NrCenGens + 1), sizeof(gen)); if (renumber == (gen*)0) { perror("ElimEpim(), renumber"); exit(2); } /* first assign a new number to each generator which is not to be eliminated. */ for (h = 1, i = 0; h <= NrCenGens; h++) if (i >= NrRows || h != Heads[i]) renumber[ h ] = h - n; else if (M[i][h] != (expo)1) { /* h will become a torsion element */ renumber[ h ] = h - n; Exponent[ renumber[h] ] = M[i][h]; i++; } else { /* h will be eliminated. */ n++; i++; } /* allocate memory for Power[], note that n is the number of generators to be eliminated. */ Power = (word*) calloc((NrCenGens - n + 1), sizeof(word)); if (Power == (word*)0) { perror("ElimEpim(), Power"); exit(2); } /* allocate memory for Definition[]. */ Definition = (def*)calloc((NrCenGens - n + 1), sizeof(def)); if (Definition == (def*)0) { perror("ElimEpim(), Definition"); exit(2); } /* Now eliminate and renumber generators. */ for (h = 1, i = 0; h <= NrCenGens; h++) { /* h runs through all generators. Only if a generator is ** encountered that occurs as the i-th head we have to work. */ if (i >= NrRows || h != Heads[i]) { /* generator i survives and does not get a power relation */ Image[h][0].g = renumber[ h ]; Definition[ renumber[h] ].h = -h; Definition[ renumber[h] ].g = 0; continue; } /* From here on we have that h = Heads[i]. */ w = (word)malloc((NrCenGens + 1 - h) * sizeof(gpower)); if (w == (word)0) { perror("ElimEpim(), w"); exit(2); } /* Copy the exponent vector M[i] into w. */ for (l = 0, j = h + 1; j <= NrCols; j++) if (M[i][j] > (expo)0) { w[l].g = -renumber[j]; w[l].e = M[i][j]; l++; } else if (M[i][j] < (expo)0) { w[l].g = renumber[j]; w[l].e = -M[i][j]; l++; } w[l].g = EOW; w[l].e = (expo)0; l++; if (M[i][h] == (expo)1) { /* generator h has to be eliminated. */ free(Image[h]); Image[h] = (word)realloc(w, l * sizeof(gpower)); } else { /* generator h survives and gets a power relation. */ Image[h][0].g = renumber[ h ]; Definition[ renumber[h] ].h = -h; Definition[ renumber[h] ].g = 0; Power[ renumber[h]] = (word)realloc(w, l * sizeof(gpower)); } i++; } /* Now adjust the sizes of the arrays */ assert(Commute == CommuteList[ Class + 1 ]); Commute = (gen*)realloc(Commute, (NrCenGens + 1 - n) * sizeof(gen)); CommuteList[ Class + 1 ] = Commute; Exponent = (expo*)realloc(Exponent, (NrCenGens + 1 - n) * sizeof(expo)); free(renumber); freeExpVecs(M); NrCenGens -= n; if (Verbose) printf("# Eliminated generators (%ld msec).\n", RunTime() - t); } void PrintEpim(void) { long i, nrGens; if (Image == (word*)0) { printf("# No map set.\n"); return; } nrGens = NumberOfAbstractGens(); for (i = 1; i <= nrGens; i++) { printf("# "); printf("%s |---> ", GenName(i)); printWord(Image[i], 'A'); putchar('\n'); } } word Epimorphism(gen g) { /* Do we have an abstract generator or an identical generator ? */ if (g <= NumberOfAbstractGens()) return Image[g]; if (Instances == (word *)0) { printf("## Instances not initialised\n"); return (word)0; } g = IdenticalGenNumberNode[ g - NumberOfAbstractGens() ]; return Instances[ g ]; } nq-2.5.4/src/system.h0000664000371700037170000000054513441553627015654 0ustar gap-jenkinsgap-jenkins/**************************************************************************** ** ** system.h NQ Werner Nickel */ #ifndef SYSTEM_H #define SYSTEM_H extern void SetTimeOut(int nsec); extern void TimeOutOn(void); extern void TimeOutOff(void); extern void CatchSignals(void); extern long RunTime(void); #endif nq-2.5.4/src/genexp.h0000664000371700037170000000235613441553627015620 0ustar gap-jenkinsgap-jenkins/**************************************************************************** ** ** genexp.h PC Werner Nickel ** nickel@mathematik.tu-darmstadt.de ** ** ** A generator is a positive integer. The inverse of a generator is ** denoted by its negative. ** ** The exponent of a generator is a short integer. The exponent of ** a generator or its inverses is always positive. The exponent ** vector is the sequence of exponents corresponding to a normed ** word. The entries in an exponent vector can be negative. ** ** A word is a generator exponent string terminated by 0. */ #ifndef GENEXP_H #define GENEXP_H #include "config.h" typedef short gen; /* ** GNU cc has the data type long long. We can switch it on by ** defining the macro HAVE_LONG_LONG_INT in the Makefile. */ #ifdef HAVE_LONG_LONG_INT typedef long long expo; #define EXP_FORMAT "%lld" #else typedef long expo; #define EXP_FORMAT "%ld" #endif typedef expo *expvec; #define EOW ((gen)0) struct gpower { gen g; /* the generator */ expo e; /* its exponent */ }; typedef struct gpower gpower; typedef gpower *word; #endif nq-2.5.4/src/pcarith.c0000664000371700037170000001476013441553627015761 0ustar gap-jenkinsgap-jenkins/**************************************************************************** ** ** pcarith.c NQ Werner Nickel ** nickel@mathematik.tu-darmstadt.de ** ** This file contains an arithmetic for elements of a group that is ** given by a polycyclic presentation. The elements are in generator ** exponent form. Multiplication is performed by a collection process. ** There are the following functions : ** ** ** int WordCmp( u, w ) ......... Compare the two words u and w and ** return 0, if the words are equal and ** 1 otherwise. ** void WordCopy( u, w ) ......... Copy the word u to the word w. It is ** assumed that storage for w has already ** been allocated. ** int WordLength( u ) ......... Return the length of the word u, i.e., ** the number of powers of generators in u. ** word WordGen( g ) ......... Return the image under the epimorphism ** of the generator number g. ** word WordMult( u, w ) ......... Return the product of the word u and ** the word w and free u and w. ** word WordPow( u, pn ) ......... Return the word u raised to the power ** of (*pn). Free u. ** word WordConj( u, w ) ......... Return the conjugate of the word u by ** the word w and free u and w. ** word WordComm( u, w ) ......... Return the commutator [u,w] of the ** words u and w. Free u and w. ** word WordEngel( u, w, n ) ..... Return the Engel-n commutator [u, n w]\ ** of the words u and w. Free u and w. ** the word w and free u and w. ** word WordRel( u, w ) ......... Return the quotient u^-1 * w of the ** words u and w. Free u and w. ** void WordInit( f ) ......... Initialize the evaluator with this ** arithmetic module. f is the function ** used by this module to obtain a ** generator through its number. ** void WordPrint( u ) ......... Print the word u. The word u is not ** freed. ** */ #include "config.h" #include "presentation.h" #include "pc.h" #include "pcarith.h" #include "collect.h" #include "engel.h" static WordGenerator PcGenerator; void WordCopyExpVec(expvec ev, word w) { long l; gen g; for (l = 0, g = 1; g <= NrPcGensList[Class > 0 ? Class + 1 : 1]; g++) if (ev[g] != (expo)0) { if (ev[g] > (expo)0) { w[l].g = g; w[l].e = ev[g]; } else { w[l].g = -g; w[l].e = -ev[g]; } l++; } w[l].g = EOW; w[l].e = (expo)0; } word WordExpVec(expvec ev) { long l; gen g; word w; for (l = 0, g = 1; g <= NrPcGensList[Class > 0 ? Class + 1 : 1]; g++) if (ev[g] != (expo)0) l++; w = (word)Allocate((l + 1) * sizeof(gpower)); WordCopyExpVec(ev, w); return w; } expvec ExpVecWord(word w) { expvec ev; ev = (expvec)Allocate((NrPcGens + NrCenGens + 1) * sizeof(expo)); if (w != (word)0) while (w->g != EOW) { if (w->g > 0) ev[ w->g ] = w->e; else ev[ -w->g ] = -w->e; w++; } return ev; } int WordCmp(word u, word w) { if (u == w) return 0; while (u->g == w->g && u->e == w->e) { if (u->g == EOW) return 0; u++; w++; } return 1; } void WordCopy(word u, word w) { while (u->g != EOW) *w++ = *u++; *w = *u; } int WordLength(word w) { int l = 0; while (w->g != EOW) { w++; l++; } return l; } word WordGen(gen g) { word w; int l; if (g == 0) { w = (word)Allocate(sizeof(gpower)); w[0].g = EOW; } else { if ((*PcGenerator)(g) == 0) return (word)0; l = WordLength((*PcGenerator)(g)); w = (word)Allocate((l + 1) * sizeof(gpower)); WordCopy((*PcGenerator)(g), w); } return w; } static word WordMult(word u, word w) { expvec ev; ev = ExpVecWord(u); Free((void *)u); if (Collect(ev, w, (expo)1)) { Free((void *)w); Free((void *)ev); return (word)0; } Free((void *)w); w = WordExpVec(ev); Free((void *)ev); return w; } static word WordPow(word w, int * pn) { expvec ev; word ww; int n; n = *pn; if (n == 0) { Free((void *)w); return WordGen(0); } if (n < 0) { ww = Invert(w); Free((void *)w); w = ww; n = -n; } if (n == 1) return w; ev = ExpVecWord(w); if (Collect(ev, w, (expo)(n - 1))) { Free((void *)w); Free((void *)ev); return (word) 0; } Free((void *)w); w = WordExpVec(ev); Free((void *)ev); return w; } static word WordConj(word u, word w) { word uw, x; expvec ev; /* x = u^w = w^-1 * u * w <===> w * x = u * w. */ ev = ExpVecWord(u); Free((void *)u); if (Collect(ev, w, (expo)1)) { Free((void *)ev); Free((void *)w); return (word)0; } uw = WordExpVec(ev); Free((void *)ev); x = Solve(w, uw); Free((void *)w); Free((void *)uw); return x; } word WordComm(word u, word w) { word x; x = Commutator(u, w); Free(u); Free(w); return x; } word WordEngel(word u, word w, int *e) { word x; x = EngelCommutator(u, w, *e); Free(u); Free(w); return x; } static word WordRel(word u, word w) { word x; /* The relation u = w is interpreted as ** x = u^-1 * w, which is equivalent to ** u * x = w. */ x = Solve(u, w); Free((void *)u); Free((void *)w); return x; } void WordInit(WordGenerator generator) { PcGenerator = generator; /* SetEvalFunc(TGEN, (EvalFunc)WordGen);*/ SetEvalFunc(TMULT, (EvalFunc)WordMult); SetEvalFunc(TPOW, (EvalFunc)WordPow); SetEvalFunc(TCONJ, (EvalFunc)WordConj); SetEvalFunc(TCOMM, (EvalFunc)WordComm); SetEvalFunc(TREL, (EvalFunc)WordRel); SetEvalFunc(TDRELL, (EvalFunc)WordRel); SetEvalFunc(TDRELR, (EvalFunc)WordRel); /* SetEvalFunc(TENGEL, (EvalFunc)WordEngel);*/ } void WordPrint(word gs) { if (gs->g != EOW) if (gs->g > 0) { PrintGen(gs->g); if (gs->e > (expo)1) printf("^"EXP_FORMAT, gs->e); } else { PrintGen(-gs->g); printf("^-"EXP_FORMAT, gs->e); } else { printf("1"); return; } gs++; while (gs->g != EOW) { putchar('*'); if (gs->g > 0) { PrintGen(gs->g); if (gs->e > (expo)1) printf("^"EXP_FORMAT, gs->e); } else { PrintGen(-gs->g); printf("^-"EXP_FORMAT, gs->e); } gs++; } } nq-2.5.4/src/tails.c0000664000371700037170000001465713441553627015450 0ustar gap-jenkinsgap-jenkins/***************************************************************************** ** ** tails.c NQ Werner Nickel ** nickel@mathematik.tu-darmstadt.de */ #include "nq.h" #include "glimt.h" const char *Warning3 = "Warning : This is not a tail in %s( %d, %d, %d )\n"; const char *Warning2 = "Warning : This is not a tail in %s( %d, %d )\n"; static int tail_cba(gen c, gen b, gen a, expvec *ev) { int i, l = 0; expvec ev1, ev2; /* (c b) a */ ev1 = ExpVecWord(Generators[c]); Collect(ev1, Generators[b], (expo)1); Collect(ev1, Generators[a], (expo)1); /* c (b a) = c a b^a */ ev2 = ExpVecWord(Generators[c]); Collect(ev2, Generators[a], (expo)1); Collect(ev2, Conjugate[b][a], (expo)1); for (i = 1; i <= NrPcGens; i++) { if (ev1[i] != ev2[i]) printf(Warning3, "tail_cba", c, b, a); ev1[i] = (expo)0; } for (i = NrPcGens + 1; i <= NrPcGens + NrCenGens; i++) { ev1[i] -= ev2[i]; if (ev1[i] != (expo)0 && Exponent[i] != (expo)0) { ev1[i] %= Exponent[i]; if (ev1[i] < (expo)0) ev1[i] += Exponent[i]; } if (ev1[i] != (expo)0) l++; } Free(ev2); *ev = ev1; return l; } #if 0 static int tail_cbn(gen c, gen b, expvec *ev) { int i, l = 0; expvec ev1, ev2; /* (c b) b^(n-1) */ ev1 = ExpVecWord(Generators[c]); Collect(ev1, Generators[b], Exponent[b]); /* c b^n */ ev2 = ExpVecWord(Generators[c]); if (Power[b] != (word)0) Collect(ev2, Power[b], (expo)1); for (i = 1; i <= NrPcGens; i++) { if (ev1[i] != ev2[i]) printf(Warning2, "tail_cbn", c, b); ev1[i] = (expo)0; } for (i = NrPcGens + 1; i <= NrPcGens + NrCenGens; i++) { ev1[i] -= ev2[i]; if (Exponent[i] != (expo)0) { ev1[i] %= Exponent[i]; if (ev1[i] < (expo)0) ev1[i] += Exponent[i]; } if (ev1[i] != 0) l++; } Free(ev2); *ev = ev1; return l; } static int tail_cnb(gen c, gen b, expvec *ev) { int i, l = 0; expvec ev1, ev2; /* b (c^b)^n */ ev1 = ExpVecWord(Generators[b]); Collect(ev1, Conjugate[c][b], Exponent[c]); /* c^n b */ ev2 = ExpVecWord(Power[c]); Collect(ev2, Generators[b], (expo)1); for (i = 1; i <= NrPcGens; i++) { if (ev1[i] != ev2[i]) printf(Warning2, "tail_cnb", c, b); ev1[i] = (expo)0; } for (i = NrPcGens + 1; i <= NrPcGens + NrCenGens; i++) { ev1[i] -= ev2[i]; if (ev1[i] != (expo)0 && Exponent[i] != (expo)0) { ev1[i] %= Exponent[i]; if (ev1[i] < (expo)0) ev1[i] += Exponent[i]; } if (ev1[i] != 0) l++; } Free(ev2); *ev = ev1; return l; } #endif static int tail_cbb(gen c, gen b, expvec *ev) { int i, l = 0; expvec ev1; /* (c b^-1) b */ ev1 = ExpVecWord(Generators[c]); Collect(ev1, Generators[ b], (expo)1); Collect(ev1, Generators[-b], (expo)1); ev1[ c ] -= 1; for (i = 1; i <= NrPcGens; i++) { if (ev1[i] != (expo)0) printf(Warning2, "tail_cnb", c, b); } for (i = NrPcGens + 1; i <= NrPcGens + NrCenGens; i++) { ev1[i] = -ev1[i]; if (ev1[i] != (expo)0 && Exponent[i] != (expo)0) { ev1[i] %= Exponent[i]; if (ev1[i] < (expo)0) ev1[i] += Exponent[i]; } if (ev1[i] != 0) l++; } *ev = ev1; return l; } static int tail_ccb(gen c, gen b, expvec *ev) { int i, l = 0; expvec ev1; /* c^-1 (c b) = c^-1 b c^b */ ev1 = ExpVecWord(Generators[c]); Collect(ev1, Generators[b], (expo)1); Collect(ev1, Conjugate[-c][b], (expo)1); ev1[abs(b)] -= sgn(b); for (i = 1; i <= NrPcGens; i++) { if (ev1[i] != (expo)0) printf(Warning2, "tail_cnb", c, b); } for (i = NrPcGens + 1; i <= NrPcGens + NrCenGens; i++) { ev1[i] = -ev1[i]; if (Exponent[i] != (expo)0) { ev1[i] %= Exponent[i]; if (ev1[i] < (expo)0) ev1[i] += Exponent[i]; } if (ev1[i] != 0) l++; } *ev = ev1; return l; } static void Tail(gen n, gen m) { long lw, lt; expvec t; word w; if (n > 0) if (m > 0) lt = tail_cba(n, Definition[m].h, Definition[m].g, &t); else lt = tail_cbb(n, m, &t); else lt = tail_ccb(n, m, &t); lw = WordLength(Conjugate[n][m]); w = (word)Allocate((lt + lw + 1) * sizeof(gpower)); WordCopy(Conjugate[n][m], w); WordCopyExpVec(t, w + lw); free(t); if (Conjugate[n][m] != Generators[n]) free(Conjugate[n][m]); Conjugate[n][m] = w; } /* ** The next nilpotency class to be calculated is Class+1. Therefore ** commutators of weight Class+1, which are currently trivial, will ** get tails. */ void Tails(void) { int *Dim = Dimension; long b, c, i, j, time = 0; long m, M, n, N; if (Verbose) time = RunTime(); /* ** Precompute exponents of the new generators which are defined ** as a commutator [h,g] with wt(h)=Class. There is no conclusive ** evidence that is woth the effort. One probably also has to use ** those power relations that have a non-trivial right hand side. */ #if 0 if (0) { int l; gen i, g, h, t; expvec ev; for (t = NrPcGens + 1; t <= NrPcGens + NrCenGens; t++) { h = Definition[t].h; g = Definition[t].g; if (h < 0 || Wt(h) < Class) continue; if (g != (gen)0 && Exponent[h] != (expo)0) { l = tail_cnb(h, g, &ev); /* printf( "t: %d, ", t ); for( i = 1; i <= NrPcGens+NrCenGens; i++ ) if( ev[i] != (expo)0 ) printf( " %d^"EXP_FORMAT"", i, ev[i] ); printf( "\n" );*/ if (l == 1) { if (ev[t] == (expo)0) printf("Error, exponent zero\n"); if (Verbose) printf("# Setting exponent "EXP_FORMAT" for %d\n", ev[t], t); Exponent[t] = ev[t]; addRow(ev); } } if (g != (gen)0 && Exponent[g] != (expo)0) { l = tail_cbn(h, g, &ev); /* printf( "t: %d, ", t ); for( i = 1; i <= NrPcGens+NrCenGens; i++ ) if( ev[i] != (expo)0 ) printf( " %d^"EXP_FORMAT"", i, ev[i] ); printf( "\n" );*/ if (l == 1) { if (ev[t] == (expo)0) printf("Error, exponent zero\n"); if (Verbose) printf("# Setting exponent "EXP_FORMAT" for %d\n", ev[t], t); Exponent[t] = ev[t]; addRow(ev); } } } } #endif N = NrPcGens; for (c = Class; c >= 1; c--) { n = N; M = 1; for (b = 1; b <= c - b + 1; b++) { /* tails for comutators [ , ] */ for (j = Dim[c - b + 1]; j >= 1; j--) { m = M; for (i = 1; n > m && i <= Dim[b]; i++) { if (b != 1) Tail(n, m); if (Exponent[m] == (expo)0) Tail(n, -m); if (Exponent[n] == (expo)0) Tail(-n, m); if (Exponent[m] + Exponent[n] == (expo)0) Tail(-n, -m); m++; } n--; } M += Dim[b]; } N -= Dim[c]; } if (Verbose) printf("# Computed tails (%ld msec).\n", RunTime() - time); } nq-2.5.4/src/mem.h0000664000371700037170000000076213441553627015107 0ustar gap-jenkinsgap-jenkins/**************************************************************************** ** ** mem.h NQ Werner Nickel ** nickel@mathematik.tu-darmstadt.de */ #ifndef MEM_H #define MEM_H #include /* for malloc, calloc */ #include /* for memcpy */ extern void *Allocate(unsigned nchars); extern void *ReAllocate(void *optr, unsigned nchars); extern void Free(void *ptr); #endif nq-2.5.4/src/instances.c0000664000371700037170000000501213441553627016304 0ustar gap-jenkinsgap-jenkins/***************************************************************************** ** ** instances.c NQ Werner Nickel ** nickel@mathematik.tu-darmstadt.de */ #include "presentation.h" #include "nq.h" #include "instances.h" #include "relations.h" word *Instances; /* ** The parameters of EnumerateWords() have the following meaning: ** ** a relation involving identical generators. ** the number of identical generators. ** the list of instances to be built up corresponding the ** identical generators. ** the index of the current word in ** the first free index in the current word ** the next generator in the current word ** the weight that can spend on the next generators. */ static void EnumerateWords(node *r, long l, word *instances, long n, long i, gen g, long wt) { long save_wt; word u = instances[ n ]; if (wt == 0) { gen h; /* printf( "# %d %d ", l, n ); for( h = 1; h <= NrIdenticalGensNode; h++ ) { printWord( Instances[ h ], 'a' ); printf( ", " ); } printf( "\n" ); */ if (EvalSingleRelation(r)) { printf("# essential: "); for (h = 1; h <= NrIdenticalGensNode; h++) { printWord(Instances[ h ], 'a'); printf(", "); } printf("\n"); } return; } if (g > NrPcGens + NrCenGens) return; save_wt = wt; while (!EarlyStop && g <= NrPcGens + NrCenGens && Wt(g) <= wt - (l - n)) { u[i].g = g; u[i].e = (expo)0; u[i + 1].g = EOW; while (!EarlyStop && Wt(g) <= wt - (l - n)) { u[i].e++; wt -= Wt(g); if (Exponent[g] > (expo)0 && Exponent[g] == u[i].e) break; EnumerateWords(r, l, instances, n, i + 1, g + 1, wt); if (n < NrIdenticalGensNode) EnumerateWords(r, l, instances, n + 1, 0, 1, wt); } wt = save_wt; g++; } u[i].g = EOW; u[i].e = (expo)0; } void EvalIdenticalRelation(node *r) { gen g; long c; if (Instances == (word *)0) Instances = (word *)Allocate((NumberOfIdenticalGens() + 1) * sizeof(word)); for (g = 1; g <= NumberOfIdenticalGens(); g++) { if (Instances[ g ] != (word)0) Free(Instances[ g ]); Instances[ g ] = (word)Allocate((NrPcGens + NrCenGens + 1) * sizeof(gpower)); } for (c = NrIdenticalGensNode; !EarlyStop && c <= Class + 1; c++) { EnumerateWords(r, NrIdenticalGensNode, Instances, 1, 0, 1, c); } } nq-2.5.4/src/glimt.h0000664000371700037170000000051013441553627015434 0ustar gap-jenkinsgap-jenkins/**************************************************************************** ** ** glimt.h */ #ifndef GLIMT_H #define GLIMT_H #include "genexp.h" /* for expvec */ extern void freeExpVecs(expvec *M); extern void OutputMatrix(const char *suffix); extern int addRow(expvec ev); extern expvec *MatrixToExpVecs(void); #endif nq-2.5.4/src/nq.h0000664000371700037170000000423613441553627014747 0ustar gap-jenkinsgap-jenkins/***************************************************************************** ** ** nq.h NQ Werner Nickel ** nickel@mathematik.tu-darmstadt.de */ /* ** This include file contains the declarations of data structures that ** build a polycyclic presentation. */ #ifndef NQ_H #define NQ_H #include #include #include "config.h" #include "system.h" /* ** This variable indicates whether GAP output should be produced. */ extern int Gap; /* ** This variable indicates whether the relation matrix for each factor ** of the lower central series is to be written to file. */ extern int AbelianInv; /* ** This variable switches the verbose mode on. */ extern int Verbose; /* ** The input file name. Used in some routines to build a file name for ** outpout. */ extern const char *InputFile; #include "mem.h" #include "genexp.h" #include "pc.h" #include "pcarith.h" #include "collect.h" #include "macro.h" extern int *Dimension; extern word *Generators; /* ** The data structures used for the integer triagonalization. */ extern long NrRows; extern long NrCols; extern long *Heads; /* ** Functions manipulating words. ** Defined in word.c. */ extern void printWord(word w, char c); extern void printGen(gen g, char c); /* ** Early stoppping criterion. */ extern int EarlyStop; /* TODO: Misc decls */ extern void SetupCommuteList(void); /* from addgen.c */ extern void SetupCommute2List(void); /* from addgen.c */ extern void SetupNrPcGensList(void); /* from addgen.c */ extern void AddGenerators(void); /* from addgen.c */ extern void printEv(expvec ev); /* from consistency.c */ extern void Consistency(void); /* from consistency.c */ extern void ElimGenerators(void); /* from eliminate.c */ extern long appendExpVector(gen k, expvec ev, word w, gen *renumber); /* from eliminate.c */ extern void PrintRawGapPcPres(void); /* from gap.c */ extern void Tails(void); /* from tails.c */ extern void InitTrMetAb(int t); /* from trmetab.c */ extern void EvalTrMetAb(void); /* from trmetab.c */ #endif nq-2.5.4/src/consistency.c0000664000371700037170000001357713441553627016675 0ustar gap-jenkinsgap-jenkins/***************************************************************************** ** ** consistency.c NQ Werner Nickel ** nickel@mathematik.tu-darmstadt.de */ #include "nq.h" #include "glimt.h" /* for addRow */ void printEv(expvec ev) { long i; for (i = 1; i <= NrPcGens + NrCenGens; i++) printf(" "EXP_FORMAT" ", ev[i]); } static void do_cba(gen c, gen b, gen a) { int i; expvec ev1, ev2; if (Wt(c) + Wt(b) + Wt(abs(a)) > Class + 1) return; /* the left hand side first : c (b a) = c a b^a */ ev1 = ExpVecWord(Generators[c]); Collect(ev1, Generators[a], (expo)1); Collect(ev1, Conjugate[b][a], (expo)1); /* then the right hand side : (c b) a */ ev2 = ExpVecWord(Generators[c]); Collect(ev2, Generators[b], (expo)1); Collect(ev2, Generators[a], (expo)1); for (i = 1; i <= NrPcGens + NrCenGens; i++) { ev1[i] -= ev2[i]; if (((ev1[i] << 1) >> 1) != ev1[i]) printf("# Possible overflow in do_cba( %d, %d, %d )\n", c, b, a); } free(ev2); if (Debug) { printf("cba( %2d %2d %2d ) : ", c, b, a); printEv(ev1); printf("\n"); } addRow(ev1); } static void do_cbb(gen c, gen b) { expvec ev; if (Wt(c) + Wt(b) > Class + 1) return; /* (c b) b^-1 */ ev = ExpVecWord(Generators[c]); Collect(ev, Generators[ b], (expo)1); Collect(ev, Generators[-b], (expo)1); ev[ c ] -= 1; if (Debug) { printf("cbb( %2d %2d ) : ", c, b); printEv(ev); printf("\n"); } addRow(ev); if (EarlyStop) return; /* (c b^-1) b */ ev = ExpVecWord(Generators[c]); Collect(ev, Generators[-b], (expo)1); Collect(ev, Generators[ b], (expo)1); ev[ c ] -= 1; if (Debug) { printf("cbb( %2d %2d ) : ", c, -b); printEv(ev); printf("\n"); } addRow(ev); } static void do_ccb(gen c, gen b) { expvec ev; if (Wt(c) + Wt(abs(b)) > Class + 1) return; /* c^-1 (c b) = c^-1 b c^b */ ev = ExpVecWord(Generators[-c]); Collect(ev, Generators[b], (expo)1); Collect(ev, Conjugate[c][b], (expo)1); ev[abs(b)] -= sgn(b); if (Debug) { printf("ccb( %2d %2d ) : ", c, b); printEv(ev); printf("\n"); } addRow(ev); } static void do_cbn(gen c, gen b) { int i; expvec ev1, ev2; if (Wt(c) + Wt(b) > Class + 1) return; /* c (b^n) */ ev1 = ExpVecWord(Generators[c]); Collect(ev1, Power[b], (expo)1); /* (c b) b^(n-1) */ ev2 = ExpVecWord(Generators[c]); Collect(ev2, Generators[b], Exponent[b]); for (i = 1; i <= NrPcGens + NrCenGens; i++) { ev1[i] -= ev2[i]; if (((ev1[i] << 1) >> 1) != ev1[i]) printf("# Possible overflow in do_cbn( %d, %d )\n", c, b); } free(ev2); if (Debug) { printf("cbn( %2d %2d ) : ", c, b); printEv(ev1); printf("\n"); } addRow(ev1); } static void do_cnb(gen c, gen b) { int i; expvec ev1, ev2; if (Wt(c) + Wt(abs(b)) > Class + 1) return; /* (c^n) b */ ev1 = ExpVecWord(Power[c]); Collect(ev1, Generators[b], (expo)1); /* c^(n-1) (c b) = c^(n-1) b c^b */ ev2 = ExpVecWord(Generators[c]); if (Exponent[c] > (expo)2) Collect(ev2, Generators[c], Exponent[c] - (expo)2); Collect(ev2, Generators[b], (expo)1); Collect(ev2, Conjugate[c][b], (expo)1); for (i = 1; i <= NrPcGens + NrCenGens; i++) { ev1[i] -= ev2[i]; if (((ev1[i] << 1) >> 1) != ev1[i]) printf("# Possible overflow in do_cnb( %d, %d )\n", c, b); } free(ev2); if (Debug) { printf("cnb( %2d %2d ) : ", c, b); printEv(ev1); printf("\n"); } addRow(ev1); } static void do_cnc(gen c) { int i; expvec ev1, ev2; if (2 * Wt(c) > Class + 1) return; /* c^n c */ ev1 = ExpVecWord(Power[c]); Collect(ev1, Generators[c], (expo)1); /* c c^n */ ev2 = ExpVecWord(Generators[c]); Collect(ev2, Power[c], (expo)1); for (i = 1; i <= NrPcGens + NrCenGens; i++) { ev1[i] -= ev2[i]; if (((ev1[i] << 1) >> 1) != ev1[i]) printf("# Possible overflow in do_cnc( %d )\n", c); } free(ev2); if (Debug) { printf("cnb( %2d ) : ", c); printEv(ev1); printf("\n"); } addRow(ev1); } void Consistency(void) { long t = 0; gen a, b, c; if (Verbose) t = RunTime(); /* c * ( b * a ) = ( c * b ) * a for all generators c > b > a. */ for (a = 1; !EarlyStop && a <= Dimension[1]; a++) for (b = a + 1; !EarlyStop && b <= NrPcGens; b++) for (c = b + 1; !EarlyStop && c <= NrPcGens; c++) do_cba(c, b, a); /* ** c * ( b * b' ) = ( c * b ) * b' and ** c * ( b' * b ) = ( c * b' ) * b for all c > b, ** Exponent[b] == 0 */ for (b = 1; !EarlyStop && b <= NrPcGens; b++) if (Exponent[b] == (expo)0) for (c = b + 1; !EarlyStop && c <= NrPcGens; c++) do_cbb(c, b); /* ** c * ( c' * b ) = ( c * c' ) * b and ** c * ( c' * b ) = ( c * c' ) * b' for all generators c > b, ** Exponent[c] == 0. */ for (c = 1; !EarlyStop && c <= NrPcGens; c++) if (Exponent[c] == (expo)0) { for (b = 1; !EarlyStop && b <= min(c - 1, Dimension[1]); b++) do_ccb(c, b); for (b = 1; !EarlyStop && b < c; b++) if (Exponent[b] == (expo)0) do_ccb(c, -b); } /* ** c * b^n = ( c * b ) * b^(n-1) for all generators c > b, ** Exponent[b] == n > 0. */ for (b = 1; !EarlyStop && b <= NrPcGens; b++) if (Exponent[b] > (expo)0) for (c = b + 1; !EarlyStop && c <= NrPcGens; c++) do_cbn(c, b); /* ** c^n * b = c^(n-1) * ( c * b ) for all generators c > b, ** Exponent[c] == n > 0. */ for (c = 1; !EarlyStop && c <= NrPcGens; c++) if (Exponent[c] > (expo)0) { for (b = 1; !EarlyStop && b <= min(c - 1, Dimension[1]); b++) do_cnb(c, b); for (b = 1; !EarlyStop && b < c; b++) if (Exponent[b] == (expo)0) do_cnb(c, -b); } /* ** c^n * c = c * c^n for all generators c, Exponent[c] == n > 0. */ for (c = 1; !EarlyStop && c <= NrPcGens; c++) if (Exponent[c] > (expo)0) do_cnc(c); if (Verbose) printf("# Checked consistency (%ld msec).\n", RunTime() - t); } nq-2.5.4/configure.ac0000664000371700037170000000541413441553627015656 0ustar gap-jenkinsgap-jenkinsdnl ## dnl ## Process this file with autoconf to produce a configure script. dnl ## AC_PREREQ([2.68]) AC_INIT([ANU Nilpotent Quotient Program], m4_esyscmd([tr -d '\n' < VERSION]), [https://github.com/gap-packages/nq/issues], [nq], [http://gap-packages.github.io/nq/]) AC_CONFIG_SRCDIR([src/nq.c]) AC_CONFIG_HEADER(src/config.h:src/config.hin) AC_CONFIG_AUX_DIR([cnf]) AC_CONFIG_MACRO_DIR([m4]) AM_INIT_AUTOMAKE([1.11 -Wall foreign subdir-objects]) AM_SILENT_RULES([yes]) AM_MAINTAINER_MODE dnl dnl Setup libtool (for interfacing with GAP kernel extension) dnl LT_PREREQ([2.4.2]) LT_INIT dnl ## dnl ## C is the language dnl ## AC_LANG([C]) dnl ## dnl ## Checks for programs. dnl ## AC_PROG_AWK AC_PROG_CC AC_PROG_MAKE_SET AC_PROG_MKDIR_P AC_PROG_SED dnl ## dnl ## Checks for system header files. dnl ## AC_CHECK_HEADERS([stdlib.h string.h sys/time.h]) dnl ## dnl ## Locate the GAP root dir dnl ## # HACK: We used to support --with-gap-root, but this got renamed to # --with-gaproot for compatibility with other packages (io, orb, cvec, # ...). But existing build scripts may use the old name, so we translate # it to the new name here. # Note: configure warns if --with-gap-root is used, calling # it an unrecognized option. if test "${with_gaproot+set}" != set; then : if test "${with_gap_root+set}" = set; then : with_gaproot=$with_gap_root fi fi AC_FIND_GAP dnl ## dnl ## Check whether to use 32bit or 64bit ABI dnl ## AC_CHECK_SIZEOF(void *, 4) AC_ARG_VAR(ABI, [Set this equal to 32 or 64 to build nq in 32- or 64-bit mode. The default value for this option is determined by testing the behaviour of your compiler, so should be 32 on a 32-bit system and 64 on one which is 64-bit.]) AC_MSG_CHECKING([ABI bit size]) if test "x$ABI" = "x" ; then if test $ac_cv_sizeof_void_p = 8; then ABI="64" else ABI="32" fi ABI_CFLAGS="" elif test "$ABI" = "64"; then if test $ac_cv_sizeof_void_p = 4; then AC_MSG_ERROR([ ABI=64 cannot be used on a 32-bit system. Please replace this value with 32 and retry configure. If you think this error is wrong, email support@gap-system.org with full details.]) else ABI_CFLAGS="-m64" fi elif test "$ABI" = "32"; then ABI_CFLAGS="-m32" else AC_MSG_ERROR([ $ABI is not a supported value for ABI. Please use ABI=64 or 32, or leave it unset.]) fi AC_MSG_RESULT([$ABI]) AC_SUBST(ABI) AC_SUBST(ABI_CFLAGS) dnl ## dnl ## Checks for typedefs, structures, and compiler characteristics. dnl ## AC_TYPE_LONG_LONG_INT dnl ## dnl ## Checks for library functions. dnl ## AC_FUNC_MALLOC AC_FUNC_REALLOC AC_CHECK_FUNCS([sbrk getrusage]) dnl ## dnl ## Finally, generate the Makefiles and output everything dnl ## AC_CONFIG_FILES([Makefile examples/Makefile]) AC_OUTPUT nq-2.5.4/configure0000775000371700037170000164333213441553627015307 0ustar gap-jenkinsgap-jenkins#! /bin/sh # Guess values for system-dependent variables and create Makefiles. # Generated by GNU Autoconf 2.69 for ANU Nilpotent Quotient Program 2.5.4. # # Report bugs to . # # # Copyright (C) 1992-1996, 1998-2012 Free Software Foundation, Inc. # # # This configure script is free software; the Free Software Foundation # gives unlimited permission to copy, distribute and modify it. ## -------------------- ## ## M4sh Initialization. ## ## -------------------- ## # Be more Bourne compatible DUALCASE=1; export DUALCASE # for MKS sh if test -n "${ZSH_VERSION+set}" && (emulate sh) >/dev/null 2>&1; then : emulate sh NULLCMD=: # Pre-4.2 versions of Zsh do word splitting on ${1+"$@"}, which # is contrary to our usage. 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" >&6; } if ${ac_cv_prog_ac_ct_DUMPBIN+:} false; then : $as_echo_n "(cached) " >&6 else if test -n "$ac_ct_DUMPBIN"; then ac_cv_prog_ac_ct_DUMPBIN="$ac_ct_DUMPBIN" # Let the user override the test. else as_save_IFS=$IFS; IFS=$PATH_SEPARATOR for as_dir in $PATH do IFS=$as_save_IFS test -z "$as_dir" && as_dir=. for ac_exec_ext in '' $ac_executable_extensions; do if as_fn_executable_p "$as_dir/$ac_word$ac_exec_ext"; then ac_cv_prog_ac_ct_DUMPBIN="$ac_prog" $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5 break 2 fi done done IFS=$as_save_IFS fi fi ac_ct_DUMPBIN=$ac_cv_prog_ac_ct_DUMPBIN if test -n "$ac_ct_DUMPBIN"; then { $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_ct_DUMPBIN" >&5 $as_echo "$ac_ct_DUMPBIN" >&6; } else { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 $as_echo "no" >&6; } fi test -n "$ac_ct_DUMPBIN" && break done if test "x$ac_ct_DUMPBIN" = x; then DUMPBIN=":" else case $cross_compiling:$ac_tool_warned in yes:) { $as_echo "$as_me:${as_lineno-$LINENO}: WARNING: using cross tools not prefixed with host triplet" >&5 $as_echo "$as_me: WARNING: using cross tools not prefixed with host triplet" >&2;} ac_tool_warned=yes ;; esac DUMPBIN=$ac_ct_DUMPBIN fi fi case `$DUMPBIN -symbols -headers /dev/null 2>&1 | sed '1q'` in *COFF*) DUMPBIN="$DUMPBIN -symbols -headers" ;; *) DUMPBIN=: ;; esac fi if test : != "$DUMPBIN"; then NM=$DUMPBIN fi fi test -z "$NM" && NM=nm { $as_echo "$as_me:${as_lineno-$LINENO}: checking the name lister ($NM) interface" >&5 $as_echo_n "checking the name lister ($NM) interface... " >&6; } if ${lt_cv_nm_interface+:} false; then : $as_echo_n "(cached) " >&6 else lt_cv_nm_interface="BSD nm" echo "int some_variable = 0;" > conftest.$ac_ext (eval echo "\"\$as_me:$LINENO: $ac_compile\"" >&5) (eval "$ac_compile" 2>conftest.err) cat conftest.err >&5 (eval echo "\"\$as_me:$LINENO: $NM \\\"conftest.$ac_objext\\\"\"" >&5) (eval "$NM \"conftest.$ac_objext\"" 2>conftest.err > conftest.out) cat conftest.err >&5 (eval echo "\"\$as_me:$LINENO: output\"" >&5) cat conftest.out >&5 if $GREP 'External.*some_variable' conftest.out > /dev/null; then lt_cv_nm_interface="MS dumpbin" fi rm -rf conftest* fi { $as_echo "$as_me:${as_lineno-$LINENO}: result: $lt_cv_nm_interface" >&5 $as_echo "$lt_cv_nm_interface" >&6; } { $as_echo "$as_me:${as_lineno-$LINENO}: checking whether ln -s works" >&5 $as_echo_n "checking whether ln -s works... " >&6; } LN_S=$as_ln_s if test "$LN_S" = "ln -s"; then { $as_echo "$as_me:${as_lineno-$LINENO}: result: yes" >&5 $as_echo "yes" >&6; } else { $as_echo "$as_me:${as_lineno-$LINENO}: result: no, using $LN_S" >&5 $as_echo "no, using $LN_S" >&6; } fi # find the maximum length of command line arguments { $as_echo "$as_me:${as_lineno-$LINENO}: checking the maximum length of command line arguments" >&5 $as_echo_n "checking the maximum length of command line arguments... " >&6; } if ${lt_cv_sys_max_cmd_len+:} false; then : $as_echo_n "(cached) " >&6 else i=0 teststring=ABCD case $build_os in msdosdjgpp*) # On DJGPP, this test can blow up pretty badly due to problems in libc # (any single argument exceeding 2000 bytes causes a buffer overrun # during glob expansion). Even if it were fixed, the result of this # check would be larger than it should be. lt_cv_sys_max_cmd_len=12288; # 12K is about right ;; gnu*) # Under GNU Hurd, this test is not required because there is # no limit to the length of command line arguments. # Libtool will interpret -1 as no limit whatsoever lt_cv_sys_max_cmd_len=-1; ;; cygwin* | mingw* | cegcc*) # On Win9x/ME, this test blows up -- it succeeds, but takes # about 5 minutes as the teststring grows exponentially. # Worse, since 9x/ME are not pre-emptively multitasking, # you end up with a "frozen" computer, even though with patience # the test eventually succeeds (with a max line length of 256k). # Instead, let's just punt: use the minimum linelength reported by # all of the supported platforms: 8192 (on NT/2K/XP). lt_cv_sys_max_cmd_len=8192; ;; mint*) # On MiNT this can take a long time and run out of memory. lt_cv_sys_max_cmd_len=8192; ;; amigaos*) # On AmigaOS with pdksh, this test takes hours, literally. # So we just punt and use a minimum line length of 8192. lt_cv_sys_max_cmd_len=8192; ;; bitrig* | darwin* | dragonfly* | freebsd* | netbsd* | openbsd*) # This has been around since 386BSD, at least. Likely further. if test -x /sbin/sysctl; then lt_cv_sys_max_cmd_len=`/sbin/sysctl -n kern.argmax` elif test -x /usr/sbin/sysctl; then lt_cv_sys_max_cmd_len=`/usr/sbin/sysctl -n kern.argmax` else lt_cv_sys_max_cmd_len=65536 # usable default for all BSDs fi # And add a safety zone lt_cv_sys_max_cmd_len=`expr $lt_cv_sys_max_cmd_len \/ 4` lt_cv_sys_max_cmd_len=`expr $lt_cv_sys_max_cmd_len \* 3` ;; interix*) # We know the value 262144 and hardcode it with a safety zone (like BSD) lt_cv_sys_max_cmd_len=196608 ;; os2*) # The test takes a long time on OS/2. lt_cv_sys_max_cmd_len=8192 ;; osf*) # Dr. Hans Ekkehard Plesser reports seeing a kernel panic running configure # due to this test when exec_disable_arg_limit is 1 on Tru64. It is not # nice to cause kernel panics so lets avoid the loop below. # First set a reasonable default. lt_cv_sys_max_cmd_len=16384 # if test -x /sbin/sysconfig; then case `/sbin/sysconfig -q proc exec_disable_arg_limit` in *1*) lt_cv_sys_max_cmd_len=-1 ;; esac fi ;; sco3.2v5*) lt_cv_sys_max_cmd_len=102400 ;; sysv5* | sco5v6* | sysv4.2uw2*) kargmax=`grep ARG_MAX /etc/conf/cf.d/stune 2>/dev/null` if test -n "$kargmax"; then lt_cv_sys_max_cmd_len=`echo $kargmax | sed 's/.*[ ]//'` else lt_cv_sys_max_cmd_len=32768 fi ;; *) lt_cv_sys_max_cmd_len=`(getconf ARG_MAX) 2> /dev/null` if test -n "$lt_cv_sys_max_cmd_len" && \ test undefined != "$lt_cv_sys_max_cmd_len"; then lt_cv_sys_max_cmd_len=`expr $lt_cv_sys_max_cmd_len \/ 4` lt_cv_sys_max_cmd_len=`expr $lt_cv_sys_max_cmd_len \* 3` else # Make teststring a little bigger before we do anything with it. # a 1K string should be a reasonable start. for i in 1 2 3 4 5 6 7 8; do teststring=$teststring$teststring done SHELL=${SHELL-${CONFIG_SHELL-/bin/sh}} # If test is not a shell built-in, we'll probably end up computing a # maximum length that is only half of the actual maximum length, but # we can't tell. while { test X`env echo "$teststring$teststring" 2>/dev/null` \ = "X$teststring$teststring"; } >/dev/null 2>&1 && test 17 != "$i" # 1/2 MB should be enough do i=`expr $i + 1` teststring=$teststring$teststring done # Only check the string length outside the loop. lt_cv_sys_max_cmd_len=`expr "X$teststring" : ".*" 2>&1` teststring= # Add a significant safety factor because C++ compilers can tack on # massive amounts of additional arguments before passing them to the # linker. It appears as though 1/2 is a usable value. lt_cv_sys_max_cmd_len=`expr $lt_cv_sys_max_cmd_len \/ 2` fi ;; esac fi if test -n "$lt_cv_sys_max_cmd_len"; then { $as_echo "$as_me:${as_lineno-$LINENO}: result: $lt_cv_sys_max_cmd_len" >&5 $as_echo "$lt_cv_sys_max_cmd_len" >&6; } else { $as_echo "$as_me:${as_lineno-$LINENO}: result: none" >&5 $as_echo "none" >&6; } fi max_cmd_len=$lt_cv_sys_max_cmd_len : ${CP="cp -f"} : ${MV="mv -f"} : ${RM="rm -f"} if ( (MAIL=60; unset MAIL) || exit) >/dev/null 2>&1; then lt_unset=unset else lt_unset=false fi # test EBCDIC or ASCII case `echo X|tr X '\101'` in A) # ASCII based system # \n is not interpreted correctly by Solaris 8 /usr/ucb/tr lt_SP2NL='tr \040 \012' lt_NL2SP='tr \015\012 \040\040' ;; *) # EBCDIC based system lt_SP2NL='tr \100 \n' lt_NL2SP='tr \r\n \100\100' ;; esac { $as_echo "$as_me:${as_lineno-$LINENO}: checking how to convert $build file names to $host format" >&5 $as_echo_n "checking how to convert $build file names to $host format... " >&6; } if ${lt_cv_to_host_file_cmd+:} false; then : $as_echo_n "(cached) " >&6 else case $host in *-*-mingw* ) case $build in *-*-mingw* ) # actually msys lt_cv_to_host_file_cmd=func_convert_file_msys_to_w32 ;; *-*-cygwin* ) lt_cv_to_host_file_cmd=func_convert_file_cygwin_to_w32 ;; * ) # otherwise, assume *nix lt_cv_to_host_file_cmd=func_convert_file_nix_to_w32 ;; esac ;; *-*-cygwin* ) case $build in *-*-mingw* ) # actually msys lt_cv_to_host_file_cmd=func_convert_file_msys_to_cygwin ;; *-*-cygwin* ) lt_cv_to_host_file_cmd=func_convert_file_noop ;; * ) # otherwise, assume *nix lt_cv_to_host_file_cmd=func_convert_file_nix_to_cygwin ;; esac ;; * ) # unhandled hosts (and "normal" native builds) lt_cv_to_host_file_cmd=func_convert_file_noop ;; esac fi to_host_file_cmd=$lt_cv_to_host_file_cmd { $as_echo "$as_me:${as_lineno-$LINENO}: result: $lt_cv_to_host_file_cmd" >&5 $as_echo "$lt_cv_to_host_file_cmd" >&6; } { $as_echo "$as_me:${as_lineno-$LINENO}: checking how to convert $build file names to toolchain format" >&5 $as_echo_n "checking how to convert $build file names to toolchain format... " >&6; } if ${lt_cv_to_tool_file_cmd+:} false; then : $as_echo_n "(cached) " >&6 else #assume ordinary cross tools, or native build. lt_cv_to_tool_file_cmd=func_convert_file_noop case $host in *-*-mingw* ) case $build in *-*-mingw* ) # actually msys lt_cv_to_tool_file_cmd=func_convert_file_msys_to_w32 ;; esac ;; esac fi to_tool_file_cmd=$lt_cv_to_tool_file_cmd { $as_echo "$as_me:${as_lineno-$LINENO}: result: $lt_cv_to_tool_file_cmd" >&5 $as_echo "$lt_cv_to_tool_file_cmd" >&6; } { $as_echo "$as_me:${as_lineno-$LINENO}: checking for $LD option to reload object files" >&5 $as_echo_n "checking for $LD option to reload object files... " >&6; } if ${lt_cv_ld_reload_flag+:} false; then : $as_echo_n "(cached) " >&6 else lt_cv_ld_reload_flag='-r' fi { $as_echo "$as_me:${as_lineno-$LINENO}: result: $lt_cv_ld_reload_flag" >&5 $as_echo "$lt_cv_ld_reload_flag" >&6; } reload_flag=$lt_cv_ld_reload_flag case $reload_flag in "" | " "*) ;; *) reload_flag=" $reload_flag" ;; esac reload_cmds='$LD$reload_flag -o $output$reload_objs' case $host_os in cygwin* | mingw* | pw32* | cegcc*) if test yes != "$GCC"; then reload_cmds=false fi ;; darwin*) if test yes = "$GCC"; then reload_cmds='$LTCC $LTCFLAGS -nostdlib $wl-r -o $output$reload_objs' else reload_cmds='$LD$reload_flag -o $output$reload_objs' fi ;; esac if test -n "$ac_tool_prefix"; then # Extract the first word of "${ac_tool_prefix}objdump", so it can be a program name with args. set dummy ${ac_tool_prefix}objdump; ac_word=$2 { $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5 $as_echo_n "checking for $ac_word... " >&6; } if ${ac_cv_prog_OBJDUMP+:} false; then : $as_echo_n "(cached) " >&6 else if test -n "$OBJDUMP"; then ac_cv_prog_OBJDUMP="$OBJDUMP" # Let the user override the test. else as_save_IFS=$IFS; IFS=$PATH_SEPARATOR for as_dir in $PATH do IFS=$as_save_IFS test -z "$as_dir" && as_dir=. for ac_exec_ext in '' $ac_executable_extensions; do if as_fn_executable_p "$as_dir/$ac_word$ac_exec_ext"; then ac_cv_prog_OBJDUMP="${ac_tool_prefix}objdump" $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5 break 2 fi done done IFS=$as_save_IFS fi fi OBJDUMP=$ac_cv_prog_OBJDUMP if test -n "$OBJDUMP"; then { $as_echo "$as_me:${as_lineno-$LINENO}: result: $OBJDUMP" >&5 $as_echo "$OBJDUMP" >&6; } else { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 $as_echo "no" >&6; } fi fi if test -z "$ac_cv_prog_OBJDUMP"; then ac_ct_OBJDUMP=$OBJDUMP # Extract the first word of "objdump", so it can be a program name with args. set dummy objdump; ac_word=$2 { $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5 $as_echo_n "checking for $ac_word... " >&6; } if ${ac_cv_prog_ac_ct_OBJDUMP+:} false; then : $as_echo_n "(cached) " >&6 else if test -n "$ac_ct_OBJDUMP"; then ac_cv_prog_ac_ct_OBJDUMP="$ac_ct_OBJDUMP" # Let the user override the test. else as_save_IFS=$IFS; IFS=$PATH_SEPARATOR for as_dir in $PATH do IFS=$as_save_IFS test -z "$as_dir" && as_dir=. for ac_exec_ext in '' $ac_executable_extensions; do if as_fn_executable_p "$as_dir/$ac_word$ac_exec_ext"; then ac_cv_prog_ac_ct_OBJDUMP="objdump" $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5 break 2 fi done done IFS=$as_save_IFS fi fi ac_ct_OBJDUMP=$ac_cv_prog_ac_ct_OBJDUMP if test -n "$ac_ct_OBJDUMP"; then { $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_ct_OBJDUMP" >&5 $as_echo "$ac_ct_OBJDUMP" >&6; } else { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 $as_echo "no" >&6; } fi if test "x$ac_ct_OBJDUMP" = x; then OBJDUMP="false" else case $cross_compiling:$ac_tool_warned in yes:) { $as_echo "$as_me:${as_lineno-$LINENO}: WARNING: using cross tools not prefixed with host triplet" >&5 $as_echo "$as_me: WARNING: using cross tools not prefixed with host triplet" >&2;} ac_tool_warned=yes ;; esac OBJDUMP=$ac_ct_OBJDUMP fi else OBJDUMP="$ac_cv_prog_OBJDUMP" fi test -z "$OBJDUMP" && OBJDUMP=objdump { $as_echo "$as_me:${as_lineno-$LINENO}: checking how to recognize dependent libraries" >&5 $as_echo_n "checking how to recognize dependent libraries... " >&6; } if ${lt_cv_deplibs_check_method+:} false; then : $as_echo_n "(cached) " >&6 else lt_cv_file_magic_cmd='$MAGIC_CMD' lt_cv_file_magic_test_file= lt_cv_deplibs_check_method='unknown' # Need to set the preceding variable on all platforms that support # interlibrary dependencies. # 'none' -- dependencies not supported. # 'unknown' -- same as none, but documents that we really don't know. # 'pass_all' -- all dependencies passed with no checks. # 'test_compile' -- check by making test program. # 'file_magic [[regex]]' -- check by looking for files in library path # that responds to the $file_magic_cmd with a given extended regex. # If you have 'file' or equivalent on your system and you're not sure # whether 'pass_all' will *always* work, you probably want this one. case $host_os in aix[4-9]*) lt_cv_deplibs_check_method=pass_all ;; beos*) lt_cv_deplibs_check_method=pass_all ;; bsdi[45]*) lt_cv_deplibs_check_method='file_magic ELF [0-9][0-9]*-bit [ML]SB (shared object|dynamic lib)' lt_cv_file_magic_cmd='/usr/bin/file -L' lt_cv_file_magic_test_file=/shlib/libc.so ;; cygwin*) # func_win32_libid is a shell function defined in ltmain.sh lt_cv_deplibs_check_method='file_magic ^x86 archive import|^x86 DLL' lt_cv_file_magic_cmd='func_win32_libid' ;; mingw* | pw32*) # Base MSYS/MinGW do not provide the 'file' command needed by # func_win32_libid shell function, so use a weaker test based on 'objdump', # unless we find 'file', for example because we are cross-compiling. if ( file / ) >/dev/null 2>&1; then lt_cv_deplibs_check_method='file_magic ^x86 archive import|^x86 DLL' lt_cv_file_magic_cmd='func_win32_libid' else # Keep this pattern in sync with the one in func_win32_libid. lt_cv_deplibs_check_method='file_magic file format (pei*-i386(.*architecture: i386)?|pe-arm-wince|pe-x86-64)' lt_cv_file_magic_cmd='$OBJDUMP -f' fi ;; cegcc*) # use the weaker test based on 'objdump'. See mingw*. lt_cv_deplibs_check_method='file_magic file format pe-arm-.*little(.*architecture: arm)?' lt_cv_file_magic_cmd='$OBJDUMP -f' ;; darwin* | rhapsody*) lt_cv_deplibs_check_method=pass_all ;; freebsd* | dragonfly*) if echo __ELF__ | $CC -E - | $GREP __ELF__ > /dev/null; then case $host_cpu in i*86 ) # Not sure whether the presence of OpenBSD here was a mistake. # Let's accept both of them until this is cleared up. lt_cv_deplibs_check_method='file_magic (FreeBSD|OpenBSD|DragonFly)/i[3-9]86 (compact )?demand paged shared library' lt_cv_file_magic_cmd=/usr/bin/file lt_cv_file_magic_test_file=`echo /usr/lib/libc.so.*` ;; esac else lt_cv_deplibs_check_method=pass_all fi ;; haiku*) lt_cv_deplibs_check_method=pass_all ;; hpux10.20* | hpux11*) lt_cv_file_magic_cmd=/usr/bin/file case $host_cpu in ia64*) lt_cv_deplibs_check_method='file_magic (s[0-9][0-9][0-9]|ELF-[0-9][0-9]) shared object file - IA64' lt_cv_file_magic_test_file=/usr/lib/hpux32/libc.so ;; hppa*64*) lt_cv_deplibs_check_method='file_magic (s[0-9][0-9][0-9]|ELF[ -][0-9][0-9])(-bit)?( [LM]SB)? shared object( file)?[, -]* PA-RISC [0-9]\.[0-9]' lt_cv_file_magic_test_file=/usr/lib/pa20_64/libc.sl ;; *) lt_cv_deplibs_check_method='file_magic (s[0-9][0-9][0-9]|PA-RISC[0-9]\.[0-9]) shared library' lt_cv_file_magic_test_file=/usr/lib/libc.sl ;; esac ;; interix[3-9]*) # PIC code is broken on Interix 3.x, that's why |\.a not |_pic\.a here lt_cv_deplibs_check_method='match_pattern /lib[^/]+(\.so|\.a)$' ;; irix5* | irix6* | nonstopux*) case $LD in *-32|*"-32 ") libmagic=32-bit;; *-n32|*"-n32 ") libmagic=N32;; *-64|*"-64 ") libmagic=64-bit;; *) libmagic=never-match;; esac lt_cv_deplibs_check_method=pass_all ;; # This must be glibc/ELF. linux* | k*bsd*-gnu | kopensolaris*-gnu | gnu*) lt_cv_deplibs_check_method=pass_all ;; netbsd*) if echo __ELF__ | $CC -E - | $GREP __ELF__ > /dev/null; then lt_cv_deplibs_check_method='match_pattern /lib[^/]+(\.so\.[0-9]+\.[0-9]+|_pic\.a)$' else lt_cv_deplibs_check_method='match_pattern /lib[^/]+(\.so|_pic\.a)$' fi ;; newos6*) lt_cv_deplibs_check_method='file_magic ELF [0-9][0-9]*-bit [ML]SB (executable|dynamic lib)' lt_cv_file_magic_cmd=/usr/bin/file lt_cv_file_magic_test_file=/usr/lib/libnls.so ;; *nto* | *qnx*) lt_cv_deplibs_check_method=pass_all ;; openbsd* | bitrig*) if test -z "`echo __ELF__ | $CC -E - | $GREP __ELF__`"; then lt_cv_deplibs_check_method='match_pattern /lib[^/]+(\.so\.[0-9]+\.[0-9]+|\.so|_pic\.a)$' else lt_cv_deplibs_check_method='match_pattern /lib[^/]+(\.so\.[0-9]+\.[0-9]+|_pic\.a)$' fi ;; osf3* | osf4* | osf5*) lt_cv_deplibs_check_method=pass_all ;; rdos*) lt_cv_deplibs_check_method=pass_all ;; solaris*) lt_cv_deplibs_check_method=pass_all ;; sysv5* | sco3.2v5* | sco5v6* | unixware* | OpenUNIX* | sysv4*uw2*) lt_cv_deplibs_check_method=pass_all ;; sysv4 | sysv4.3*) case $host_vendor in motorola) lt_cv_deplibs_check_method='file_magic ELF [0-9][0-9]*-bit [ML]SB (shared object|dynamic lib) M[0-9][0-9]* Version [0-9]' lt_cv_file_magic_test_file=`echo /usr/lib/libc.so*` ;; ncr) lt_cv_deplibs_check_method=pass_all ;; sequent) lt_cv_file_magic_cmd='/bin/file' lt_cv_deplibs_check_method='file_magic ELF [0-9][0-9]*-bit [LM]SB (shared object|dynamic lib )' ;; sni) lt_cv_file_magic_cmd='/bin/file' lt_cv_deplibs_check_method="file_magic ELF [0-9][0-9]*-bit [LM]SB dynamic lib" lt_cv_file_magic_test_file=/lib/libc.so ;; siemens) lt_cv_deplibs_check_method=pass_all ;; pc) lt_cv_deplibs_check_method=pass_all ;; esac ;; tpf*) lt_cv_deplibs_check_method=pass_all ;; os2*) lt_cv_deplibs_check_method=pass_all ;; esac fi { $as_echo "$as_me:${as_lineno-$LINENO}: result: $lt_cv_deplibs_check_method" >&5 $as_echo "$lt_cv_deplibs_check_method" >&6; } file_magic_glob= want_nocaseglob=no if test "$build" = "$host"; then case $host_os in mingw* | pw32*) if ( shopt | grep nocaseglob ) >/dev/null 2>&1; then want_nocaseglob=yes else file_magic_glob=`echo aAbBcCdDeEfFgGhHiIjJkKlLmMnNoOpPqQrRsStTuUvVwWxXyYzZ | $SED -e "s/\(..\)/s\/[\1]\/[\1]\/g;/g"` fi ;; esac fi file_magic_cmd=$lt_cv_file_magic_cmd deplibs_check_method=$lt_cv_deplibs_check_method test -z "$deplibs_check_method" && deplibs_check_method=unknown if test -n "$ac_tool_prefix"; then # Extract the first word of "${ac_tool_prefix}dlltool", so it can be a program name with args. set dummy ${ac_tool_prefix}dlltool; ac_word=$2 { $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5 $as_echo_n "checking for $ac_word... " >&6; } if ${ac_cv_prog_DLLTOOL+:} false; then : $as_echo_n "(cached) " >&6 else if test -n "$DLLTOOL"; then ac_cv_prog_DLLTOOL="$DLLTOOL" # Let the user override the test. else as_save_IFS=$IFS; IFS=$PATH_SEPARATOR for as_dir in $PATH do IFS=$as_save_IFS test -z "$as_dir" && as_dir=. for ac_exec_ext in '' $ac_executable_extensions; do if as_fn_executable_p "$as_dir/$ac_word$ac_exec_ext"; then ac_cv_prog_DLLTOOL="${ac_tool_prefix}dlltool" $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5 break 2 fi done done IFS=$as_save_IFS fi fi DLLTOOL=$ac_cv_prog_DLLTOOL if test -n "$DLLTOOL"; then { $as_echo "$as_me:${as_lineno-$LINENO}: result: $DLLTOOL" >&5 $as_echo "$DLLTOOL" >&6; } else { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 $as_echo "no" >&6; } fi fi if test -z "$ac_cv_prog_DLLTOOL"; then ac_ct_DLLTOOL=$DLLTOOL # Extract the first word of "dlltool", so it can be a program name with args. set dummy dlltool; ac_word=$2 { $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5 $as_echo_n "checking for $ac_word... " >&6; } if ${ac_cv_prog_ac_ct_DLLTOOL+:} false; then : $as_echo_n "(cached) " >&6 else if test -n "$ac_ct_DLLTOOL"; then ac_cv_prog_ac_ct_DLLTOOL="$ac_ct_DLLTOOL" # Let the user override the test. else as_save_IFS=$IFS; IFS=$PATH_SEPARATOR for as_dir in $PATH do IFS=$as_save_IFS test -z "$as_dir" && as_dir=. for ac_exec_ext in '' $ac_executable_extensions; do if as_fn_executable_p "$as_dir/$ac_word$ac_exec_ext"; then ac_cv_prog_ac_ct_DLLTOOL="dlltool" $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5 break 2 fi done done IFS=$as_save_IFS fi fi ac_ct_DLLTOOL=$ac_cv_prog_ac_ct_DLLTOOL if test -n "$ac_ct_DLLTOOL"; then { $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_ct_DLLTOOL" >&5 $as_echo "$ac_ct_DLLTOOL" >&6; } else { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 $as_echo "no" >&6; } fi if test "x$ac_ct_DLLTOOL" = x; then DLLTOOL="false" else case $cross_compiling:$ac_tool_warned in yes:) { $as_echo "$as_me:${as_lineno-$LINENO}: WARNING: using cross tools not prefixed with host triplet" >&5 $as_echo "$as_me: WARNING: using cross tools not prefixed with host triplet" >&2;} ac_tool_warned=yes ;; esac DLLTOOL=$ac_ct_DLLTOOL fi else DLLTOOL="$ac_cv_prog_DLLTOOL" fi test -z "$DLLTOOL" && DLLTOOL=dlltool { $as_echo "$as_me:${as_lineno-$LINENO}: checking how to associate runtime and link libraries" >&5 $as_echo_n "checking how to associate runtime and link libraries... " >&6; } if ${lt_cv_sharedlib_from_linklib_cmd+:} false; then : $as_echo_n "(cached) " >&6 else lt_cv_sharedlib_from_linklib_cmd='unknown' case $host_os in cygwin* | mingw* | pw32* | cegcc*) # two different shell functions defined in ltmain.sh; # decide which one to use based on capabilities of $DLLTOOL case `$DLLTOOL --help 2>&1` in *--identify-strict*) lt_cv_sharedlib_from_linklib_cmd=func_cygming_dll_for_implib ;; *) lt_cv_sharedlib_from_linklib_cmd=func_cygming_dll_for_implib_fallback ;; esac ;; *) # fallback: assume linklib IS sharedlib lt_cv_sharedlib_from_linklib_cmd=$ECHO ;; esac fi { $as_echo "$as_me:${as_lineno-$LINENO}: result: $lt_cv_sharedlib_from_linklib_cmd" >&5 $as_echo "$lt_cv_sharedlib_from_linklib_cmd" >&6; } sharedlib_from_linklib_cmd=$lt_cv_sharedlib_from_linklib_cmd test -z "$sharedlib_from_linklib_cmd" && sharedlib_from_linklib_cmd=$ECHO if test -n "$ac_tool_prefix"; then for ac_prog in ar do # Extract the first word of "$ac_tool_prefix$ac_prog", so it can be a program name with args. set dummy $ac_tool_prefix$ac_prog; ac_word=$2 { $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5 $as_echo_n "checking for $ac_word... " >&6; } if ${ac_cv_prog_AR+:} false; then : $as_echo_n "(cached) " >&6 else if test -n "$AR"; then ac_cv_prog_AR="$AR" # Let the user override the test. else as_save_IFS=$IFS; IFS=$PATH_SEPARATOR for as_dir in $PATH do IFS=$as_save_IFS test -z "$as_dir" && as_dir=. for ac_exec_ext in '' $ac_executable_extensions; do if as_fn_executable_p "$as_dir/$ac_word$ac_exec_ext"; then ac_cv_prog_AR="$ac_tool_prefix$ac_prog" $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5 break 2 fi done done IFS=$as_save_IFS fi fi AR=$ac_cv_prog_AR if test -n "$AR"; then { $as_echo "$as_me:${as_lineno-$LINENO}: result: $AR" >&5 $as_echo "$AR" >&6; } else { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 $as_echo "no" >&6; } fi test -n "$AR" && break done fi if test -z "$AR"; then ac_ct_AR=$AR for ac_prog in ar do # Extract the first word of "$ac_prog", so it can be a program name with args. set dummy $ac_prog; ac_word=$2 { $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5 $as_echo_n "checking for $ac_word... " >&6; } if ${ac_cv_prog_ac_ct_AR+:} false; then : $as_echo_n "(cached) " >&6 else if test -n "$ac_ct_AR"; then ac_cv_prog_ac_ct_AR="$ac_ct_AR" # Let the user override the test. else as_save_IFS=$IFS; IFS=$PATH_SEPARATOR for as_dir in $PATH do IFS=$as_save_IFS test -z "$as_dir" && as_dir=. for ac_exec_ext in '' $ac_executable_extensions; do if as_fn_executable_p "$as_dir/$ac_word$ac_exec_ext"; then ac_cv_prog_ac_ct_AR="$ac_prog" $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5 break 2 fi done done IFS=$as_save_IFS fi fi ac_ct_AR=$ac_cv_prog_ac_ct_AR if test -n "$ac_ct_AR"; then { $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_ct_AR" >&5 $as_echo "$ac_ct_AR" >&6; } else { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 $as_echo "no" >&6; } fi test -n "$ac_ct_AR" && break done if test "x$ac_ct_AR" = x; then AR="false" else case $cross_compiling:$ac_tool_warned in yes:) { $as_echo "$as_me:${as_lineno-$LINENO}: WARNING: using cross tools not prefixed with host triplet" >&5 $as_echo "$as_me: WARNING: using cross tools not prefixed with host triplet" >&2;} ac_tool_warned=yes ;; esac AR=$ac_ct_AR fi fi : ${AR=ar} : ${AR_FLAGS=cru} { $as_echo "$as_me:${as_lineno-$LINENO}: checking for archiver @FILE support" >&5 $as_echo_n "checking for archiver @FILE support... " >&6; } if ${lt_cv_ar_at_file+:} false; then : $as_echo_n "(cached) " >&6 else lt_cv_ar_at_file=no cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ int main () { ; return 0; } _ACEOF if ac_fn_c_try_compile "$LINENO"; then : echo conftest.$ac_objext > conftest.lst lt_ar_try='$AR $AR_FLAGS libconftest.a @conftest.lst >&5' { { eval echo "\"\$as_me\":${as_lineno-$LINENO}: \"$lt_ar_try\""; } >&5 (eval $lt_ar_try) 2>&5 ac_status=$? $as_echo "$as_me:${as_lineno-$LINENO}: \$? = $ac_status" >&5 test $ac_status = 0; } if test 0 -eq "$ac_status"; then # Ensure the archiver fails upon bogus file names. rm -f conftest.$ac_objext libconftest.a { { eval echo "\"\$as_me\":${as_lineno-$LINENO}: \"$lt_ar_try\""; } >&5 (eval $lt_ar_try) 2>&5 ac_status=$? $as_echo "$as_me:${as_lineno-$LINENO}: \$? = $ac_status" >&5 test $ac_status = 0; } if test 0 -ne "$ac_status"; then lt_cv_ar_at_file=@ fi fi rm -f conftest.* libconftest.a fi rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext fi { $as_echo "$as_me:${as_lineno-$LINENO}: result: $lt_cv_ar_at_file" >&5 $as_echo "$lt_cv_ar_at_file" >&6; } if test no = "$lt_cv_ar_at_file"; then archiver_list_spec= else archiver_list_spec=$lt_cv_ar_at_file fi if test -n "$ac_tool_prefix"; then # Extract the first word of "${ac_tool_prefix}strip", so it can be a program name with args. set dummy ${ac_tool_prefix}strip; ac_word=$2 { $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5 $as_echo_n "checking for $ac_word... " >&6; } if ${ac_cv_prog_STRIP+:} false; then : $as_echo_n "(cached) " >&6 else if test -n "$STRIP"; then ac_cv_prog_STRIP="$STRIP" # Let the user override the test. else as_save_IFS=$IFS; IFS=$PATH_SEPARATOR for as_dir in $PATH do IFS=$as_save_IFS test -z "$as_dir" && as_dir=. for ac_exec_ext in '' $ac_executable_extensions; do if as_fn_executable_p "$as_dir/$ac_word$ac_exec_ext"; then ac_cv_prog_STRIP="${ac_tool_prefix}strip" $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5 break 2 fi done done IFS=$as_save_IFS fi fi STRIP=$ac_cv_prog_STRIP if test -n "$STRIP"; then { $as_echo "$as_me:${as_lineno-$LINENO}: result: $STRIP" >&5 $as_echo "$STRIP" >&6; } else { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 $as_echo "no" >&6; } fi fi if test -z "$ac_cv_prog_STRIP"; then ac_ct_STRIP=$STRIP # Extract the first word of "strip", so it can be a program name with args. set dummy strip; ac_word=$2 { $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5 $as_echo_n "checking for $ac_word... " >&6; } if ${ac_cv_prog_ac_ct_STRIP+:} false; then : $as_echo_n "(cached) " >&6 else if test -n "$ac_ct_STRIP"; then ac_cv_prog_ac_ct_STRIP="$ac_ct_STRIP" # Let the user override the test. else as_save_IFS=$IFS; IFS=$PATH_SEPARATOR for as_dir in $PATH do IFS=$as_save_IFS test -z "$as_dir" && as_dir=. for ac_exec_ext in '' $ac_executable_extensions; do if as_fn_executable_p "$as_dir/$ac_word$ac_exec_ext"; then ac_cv_prog_ac_ct_STRIP="strip" $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5 break 2 fi done done IFS=$as_save_IFS fi fi ac_ct_STRIP=$ac_cv_prog_ac_ct_STRIP if test -n "$ac_ct_STRIP"; then { $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_ct_STRIP" >&5 $as_echo "$ac_ct_STRIP" >&6; } else { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 $as_echo "no" >&6; } fi if test "x$ac_ct_STRIP" = x; then STRIP=":" else case $cross_compiling:$ac_tool_warned in yes:) { $as_echo "$as_me:${as_lineno-$LINENO}: WARNING: using cross tools not prefixed with host triplet" >&5 $as_echo "$as_me: WARNING: using cross tools not prefixed with host triplet" >&2;} ac_tool_warned=yes ;; esac STRIP=$ac_ct_STRIP fi else STRIP="$ac_cv_prog_STRIP" fi test -z "$STRIP" && STRIP=: if test -n "$ac_tool_prefix"; then # Extract the first word of "${ac_tool_prefix}ranlib", so it can be a program name with args. set dummy ${ac_tool_prefix}ranlib; ac_word=$2 { $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5 $as_echo_n "checking for $ac_word... " >&6; } if ${ac_cv_prog_RANLIB+:} false; then : $as_echo_n "(cached) " >&6 else if test -n "$RANLIB"; then ac_cv_prog_RANLIB="$RANLIB" # Let the user override the test. else as_save_IFS=$IFS; IFS=$PATH_SEPARATOR for as_dir in $PATH do IFS=$as_save_IFS test -z "$as_dir" && as_dir=. for ac_exec_ext in '' $ac_executable_extensions; do if as_fn_executable_p "$as_dir/$ac_word$ac_exec_ext"; then ac_cv_prog_RANLIB="${ac_tool_prefix}ranlib" $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5 break 2 fi done done IFS=$as_save_IFS fi fi RANLIB=$ac_cv_prog_RANLIB if test -n "$RANLIB"; then { $as_echo "$as_me:${as_lineno-$LINENO}: result: $RANLIB" >&5 $as_echo "$RANLIB" >&6; } else { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 $as_echo "no" >&6; } fi fi if test -z "$ac_cv_prog_RANLIB"; then ac_ct_RANLIB=$RANLIB # Extract the first word of "ranlib", so it can be a program name with args. set dummy ranlib; ac_word=$2 { $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5 $as_echo_n "checking for $ac_word... " >&6; } if ${ac_cv_prog_ac_ct_RANLIB+:} false; then : $as_echo_n "(cached) " >&6 else if test -n "$ac_ct_RANLIB"; then ac_cv_prog_ac_ct_RANLIB="$ac_ct_RANLIB" # Let the user override the test. else as_save_IFS=$IFS; IFS=$PATH_SEPARATOR for as_dir in $PATH do IFS=$as_save_IFS test -z "$as_dir" && as_dir=. for ac_exec_ext in '' $ac_executable_extensions; do if as_fn_executable_p "$as_dir/$ac_word$ac_exec_ext"; then ac_cv_prog_ac_ct_RANLIB="ranlib" $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5 break 2 fi done done IFS=$as_save_IFS fi fi ac_ct_RANLIB=$ac_cv_prog_ac_ct_RANLIB if test -n "$ac_ct_RANLIB"; then { $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_ct_RANLIB" >&5 $as_echo "$ac_ct_RANLIB" >&6; } else { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 $as_echo "no" >&6; } fi if test "x$ac_ct_RANLIB" = x; then RANLIB=":" else case $cross_compiling:$ac_tool_warned in yes:) { $as_echo "$as_me:${as_lineno-$LINENO}: WARNING: using cross tools not prefixed with host triplet" >&5 $as_echo "$as_me: WARNING: using cross tools not prefixed with host triplet" >&2;} ac_tool_warned=yes ;; esac RANLIB=$ac_ct_RANLIB fi else RANLIB="$ac_cv_prog_RANLIB" fi test -z "$RANLIB" && RANLIB=: # Determine commands to create old-style static archives. old_archive_cmds='$AR $AR_FLAGS $oldlib$oldobjs' old_postinstall_cmds='chmod 644 $oldlib' old_postuninstall_cmds= if test -n "$RANLIB"; then case $host_os in bitrig* | openbsd*) old_postinstall_cmds="$old_postinstall_cmds~\$RANLIB -t \$tool_oldlib" ;; *) old_postinstall_cmds="$old_postinstall_cmds~\$RANLIB \$tool_oldlib" ;; esac old_archive_cmds="$old_archive_cmds~\$RANLIB \$tool_oldlib" fi case $host_os in darwin*) lock_old_archive_extraction=yes ;; *) lock_old_archive_extraction=no ;; esac # If no C compiler was specified, use CC. LTCC=${LTCC-"$CC"} # If no C compiler flags were specified, use CFLAGS. LTCFLAGS=${LTCFLAGS-"$CFLAGS"} # Allow CC to be a program name with arguments. compiler=$CC # Check for command to grab the raw symbol name followed by C symbol from nm. { $as_echo "$as_me:${as_lineno-$LINENO}: checking command to parse $NM output from $compiler object" >&5 $as_echo_n "checking command to parse $NM output from $compiler object... " >&6; } if ${lt_cv_sys_global_symbol_pipe+:} false; then : $as_echo_n "(cached) " >&6 else # These are sane defaults that work on at least a few old systems. # [They come from Ultrix. What could be older than Ultrix?!! ;)] # Character class describing NM global symbol codes. symcode='[BCDEGRST]' # Regexp to match symbols that can be accessed directly from C. sympat='\([_A-Za-z][_A-Za-z0-9]*\)' # Define system-specific variables. case $host_os in aix*) symcode='[BCDT]' ;; cygwin* | mingw* | pw32* | cegcc*) symcode='[ABCDGISTW]' ;; hpux*) if test ia64 = "$host_cpu"; then symcode='[ABCDEGRST]' fi ;; irix* | nonstopux*) symcode='[BCDEGRST]' ;; osf*) symcode='[BCDEGQRST]' ;; solaris*) symcode='[BDRT]' ;; sco3.2v5*) symcode='[DT]' ;; sysv4.2uw2*) symcode='[DT]' ;; sysv5* | sco5v6* | unixware* | OpenUNIX*) symcode='[ABDT]' ;; sysv4) symcode='[DFNSTU]' ;; esac # If we're using GNU nm, then use its standard symbol codes. case `$NM -V 2>&1` in *GNU* | *'with BFD'*) symcode='[ABCDGIRSTW]' ;; esac if test "$lt_cv_nm_interface" = "MS dumpbin"; then # Gets list of data symbols to import. lt_cv_sys_global_symbol_to_import="sed -n -e 's/^I .* \(.*\)$/\1/p'" # Adjust the below global symbol transforms to fixup imported variables. lt_cdecl_hook=" -e 's/^I .* \(.*\)$/extern __declspec(dllimport) char \1;/p'" lt_c_name_hook=" -e 's/^I .* \(.*\)$/ {\"\1\", (void *) 0},/p'" lt_c_name_lib_hook="\ -e 's/^I .* \(lib.*\)$/ {\"\1\", (void *) 0},/p'\ -e 's/^I .* \(.*\)$/ {\"lib\1\", (void *) 0},/p'" else # Disable hooks by default. lt_cv_sys_global_symbol_to_import= lt_cdecl_hook= lt_c_name_hook= lt_c_name_lib_hook= fi # Transform an extracted symbol line into a proper C declaration. # Some systems (esp. on ia64) link data and code symbols differently, # so use this general approach. lt_cv_sys_global_symbol_to_cdecl="sed -n"\ $lt_cdecl_hook\ " -e 's/^T .* \(.*\)$/extern int \1();/p'"\ " -e 's/^$symcode$symcode* .* \(.*\)$/extern char \1;/p'" # Transform an extracted symbol line into symbol name and symbol address lt_cv_sys_global_symbol_to_c_name_address="sed -n"\ $lt_c_name_hook\ " -e 's/^: \(.*\) .*$/ {\"\1\", (void *) 0},/p'"\ " -e 's/^$symcode$symcode* .* \(.*\)$/ {\"\1\", (void *) \&\1},/p'" # Transform an extracted symbol line into symbol name with lib prefix and # symbol address. lt_cv_sys_global_symbol_to_c_name_address_lib_prefix="sed -n"\ $lt_c_name_lib_hook\ " -e 's/^: \(.*\) .*$/ {\"\1\", (void *) 0},/p'"\ " -e 's/^$symcode$symcode* .* \(lib.*\)$/ {\"\1\", (void *) \&\1},/p'"\ " -e 's/^$symcode$symcode* .* \(.*\)$/ {\"lib\1\", (void *) \&\1},/p'" # Handle CRLF in mingw tool chain opt_cr= case $build_os in mingw*) opt_cr=`$ECHO 'x\{0,1\}' | tr x '\015'` # option cr in regexp ;; esac # Try without a prefix underscore, then with it. for ac_symprfx in "" "_"; do # Transform symcode, sympat, and symprfx into a raw symbol and a C symbol. symxfrm="\\1 $ac_symprfx\\2 \\2" # Write the raw and C identifiers. if test "$lt_cv_nm_interface" = "MS dumpbin"; then # Fake it for dumpbin and say T for any non-static function, # D for any global variable and I for any imported variable. # Also find C++ and __fastcall symbols from MSVC++, # which start with @ or ?. lt_cv_sys_global_symbol_pipe="$AWK '"\ " {last_section=section; section=\$ 3};"\ " /^COFF SYMBOL TABLE/{for(i in hide) delete hide[i]};"\ " /Section length .*#relocs.*(pick any)/{hide[last_section]=1};"\ " /^ *Symbol name *: /{split(\$ 0,sn,\":\"); si=substr(sn[2],2)};"\ " /^ *Type *: code/{print \"T\",si,substr(si,length(prfx))};"\ " /^ *Type *: data/{print \"I\",si,substr(si,length(prfx))};"\ " \$ 0!~/External *\|/{next};"\ " / 0+ UNDEF /{next}; / UNDEF \([^|]\)*()/{next};"\ " {if(hide[section]) next};"\ " {f=\"D\"}; \$ 0~/\(\).*\|/{f=\"T\"};"\ " {split(\$ 0,a,/\||\r/); split(a[2],s)};"\ " s[1]~/^[@?]/{print f,s[1],s[1]; next};"\ " s[1]~prfx {split(s[1],t,\"@\"); print f,t[1],substr(t[1],length(prfx))}"\ " ' prfx=^$ac_symprfx" else lt_cv_sys_global_symbol_pipe="sed -n -e 's/^.*[ ]\($symcode$symcode*\)[ ][ ]*$ac_symprfx$sympat$opt_cr$/$symxfrm/p'" fi lt_cv_sys_global_symbol_pipe="$lt_cv_sys_global_symbol_pipe | sed '/ __gnu_lto/d'" # Check to see that the pipe works correctly. pipe_works=no rm -rf conftest* cat > conftest.$ac_ext <<_LT_EOF #ifdef __cplusplus extern "C" { #endif char nm_test_var; void nm_test_func(void); void nm_test_func(void){} #ifdef __cplusplus } #endif int main(){nm_test_var='a';nm_test_func();return(0);} _LT_EOF if { { eval echo "\"\$as_me\":${as_lineno-$LINENO}: \"$ac_compile\""; } >&5 (eval $ac_compile) 2>&5 ac_status=$? $as_echo "$as_me:${as_lineno-$LINENO}: \$? = $ac_status" >&5 test $ac_status = 0; }; then # Now try to grab the symbols. nlist=conftest.nm if { { eval echo "\"\$as_me\":${as_lineno-$LINENO}: \"$NM conftest.$ac_objext \| "$lt_cv_sys_global_symbol_pipe" \> $nlist\""; } >&5 (eval $NM conftest.$ac_objext \| "$lt_cv_sys_global_symbol_pipe" \> $nlist) 2>&5 ac_status=$? $as_echo "$as_me:${as_lineno-$LINENO}: \$? = $ac_status" >&5 test $ac_status = 0; } && test -s "$nlist"; then # Try sorting and uniquifying the output. if sort "$nlist" | uniq > "$nlist"T; then mv -f "$nlist"T "$nlist" else rm -f "$nlist"T fi # Make sure that we snagged all the symbols we need. if $GREP ' nm_test_var$' "$nlist" >/dev/null; then if $GREP ' nm_test_func$' "$nlist" >/dev/null; then cat <<_LT_EOF > conftest.$ac_ext /* Keep this code in sync between libtool.m4, ltmain, lt_system.h, and tests. */ #if defined _WIN32 || defined __CYGWIN__ || defined _WIN32_WCE /* DATA imports from DLLs on WIN32 can't be const, because runtime relocations are performed -- see ld's documentation on pseudo-relocs. */ # define LT_DLSYM_CONST #elif defined __osf__ /* This system does not cope well with relocations in const data. */ # define LT_DLSYM_CONST #else # define LT_DLSYM_CONST const #endif #ifdef __cplusplus extern "C" { #endif _LT_EOF # Now generate the symbol file. eval "$lt_cv_sys_global_symbol_to_cdecl"' < "$nlist" | $GREP -v main >> conftest.$ac_ext' cat <<_LT_EOF >> conftest.$ac_ext /* The mapping between symbol names and symbols. */ LT_DLSYM_CONST struct { const char *name; void *address; } lt__PROGRAM__LTX_preloaded_symbols[] = { { "@PROGRAM@", (void *) 0 }, _LT_EOF $SED "s/^$symcode$symcode* .* \(.*\)$/ {\"\1\", (void *) \&\1},/" < "$nlist" | $GREP -v main >> conftest.$ac_ext cat <<\_LT_EOF >> conftest.$ac_ext {0, (void *) 0} }; /* This works around a problem in FreeBSD linker */ #ifdef FREEBSD_WORKAROUND static const void *lt_preloaded_setup() { return lt__PROGRAM__LTX_preloaded_symbols; } #endif #ifdef __cplusplus } #endif _LT_EOF # Now try linking the two files. mv conftest.$ac_objext conftstm.$ac_objext lt_globsym_save_LIBS=$LIBS lt_globsym_save_CFLAGS=$CFLAGS LIBS=conftstm.$ac_objext CFLAGS="$CFLAGS$lt_prog_compiler_no_builtin_flag" if { { eval echo "\"\$as_me\":${as_lineno-$LINENO}: \"$ac_link\""; } >&5 (eval $ac_link) 2>&5 ac_status=$? $as_echo "$as_me:${as_lineno-$LINENO}: \$? = $ac_status" >&5 test $ac_status = 0; } && test -s conftest$ac_exeext; then pipe_works=yes fi LIBS=$lt_globsym_save_LIBS CFLAGS=$lt_globsym_save_CFLAGS else echo "cannot find nm_test_func in $nlist" >&5 fi else echo "cannot find nm_test_var in $nlist" >&5 fi else echo "cannot run $lt_cv_sys_global_symbol_pipe" >&5 fi else echo "$progname: failed program was:" >&5 cat conftest.$ac_ext >&5 fi rm -rf conftest* conftst* # Do not use the global_symbol_pipe unless it works. if test yes = "$pipe_works"; then break else lt_cv_sys_global_symbol_pipe= fi done fi if test -z "$lt_cv_sys_global_symbol_pipe"; then lt_cv_sys_global_symbol_to_cdecl= fi if test -z "$lt_cv_sys_global_symbol_pipe$lt_cv_sys_global_symbol_to_cdecl"; then { $as_echo "$as_me:${as_lineno-$LINENO}: result: failed" >&5 $as_echo "failed" >&6; } else { $as_echo "$as_me:${as_lineno-$LINENO}: result: ok" >&5 $as_echo "ok" >&6; } fi # Response file support. if test "$lt_cv_nm_interface" = "MS dumpbin"; then nm_file_list_spec='@' elif $NM --help 2>/dev/null | grep '[@]FILE' >/dev/null; then nm_file_list_spec='@' fi { $as_echo "$as_me:${as_lineno-$LINENO}: checking for sysroot" >&5 $as_echo_n "checking for sysroot... " >&6; } # Check whether --with-sysroot was given. if test "${with_sysroot+set}" = set; then : withval=$with_sysroot; else with_sysroot=no fi lt_sysroot= case $with_sysroot in #( yes) if test yes = "$GCC"; then lt_sysroot=`$CC --print-sysroot 2>/dev/null` fi ;; #( /*) lt_sysroot=`echo "$with_sysroot" | sed -e "$sed_quote_subst"` ;; #( no|'') ;; #( *) { $as_echo "$as_me:${as_lineno-$LINENO}: result: $with_sysroot" >&5 $as_echo "$with_sysroot" >&6; } as_fn_error $? "The sysroot must be an absolute path." "$LINENO" 5 ;; esac { $as_echo "$as_me:${as_lineno-$LINENO}: result: ${lt_sysroot:-no}" >&5 $as_echo "${lt_sysroot:-no}" >&6; } { $as_echo "$as_me:${as_lineno-$LINENO}: checking for a working dd" >&5 $as_echo_n "checking for a working dd... " >&6; } if ${ac_cv_path_lt_DD+:} false; then : $as_echo_n "(cached) " >&6 else printf 0123456789abcdef0123456789abcdef >conftest.i cat conftest.i conftest.i >conftest2.i : ${lt_DD:=$DD} if test -z "$lt_DD"; then ac_path_lt_DD_found=false # Loop through the user's path and test for each of PROGNAME-LIST as_save_IFS=$IFS; IFS=$PATH_SEPARATOR for as_dir in $PATH do IFS=$as_save_IFS test -z "$as_dir" && as_dir=. for ac_prog in dd; do for ac_exec_ext in '' $ac_executable_extensions; do ac_path_lt_DD="$as_dir/$ac_prog$ac_exec_ext" as_fn_executable_p "$ac_path_lt_DD" || continue if "$ac_path_lt_DD" bs=32 count=1 conftest.out 2>/dev/null; then cmp -s conftest.i conftest.out \ && ac_cv_path_lt_DD="$ac_path_lt_DD" ac_path_lt_DD_found=: fi $ac_path_lt_DD_found && break 3 done done done IFS=$as_save_IFS if test -z "$ac_cv_path_lt_DD"; then : fi else ac_cv_path_lt_DD=$lt_DD fi rm -f conftest.i conftest2.i conftest.out fi { $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_cv_path_lt_DD" >&5 $as_echo "$ac_cv_path_lt_DD" >&6; } { $as_echo "$as_me:${as_lineno-$LINENO}: checking how to truncate binary pipes" >&5 $as_echo_n "checking how to truncate binary pipes... " >&6; } if ${lt_cv_truncate_bin+:} false; then : $as_echo_n "(cached) " >&6 else printf 0123456789abcdef0123456789abcdef >conftest.i cat conftest.i conftest.i >conftest2.i lt_cv_truncate_bin= if "$ac_cv_path_lt_DD" bs=32 count=1 conftest.out 2>/dev/null; then cmp -s conftest.i conftest.out \ && lt_cv_truncate_bin="$ac_cv_path_lt_DD bs=4096 count=1" fi rm -f conftest.i conftest2.i conftest.out test -z "$lt_cv_truncate_bin" && lt_cv_truncate_bin="$SED -e 4q" fi { $as_echo "$as_me:${as_lineno-$LINENO}: result: $lt_cv_truncate_bin" >&5 $as_echo "$lt_cv_truncate_bin" >&6; } # Calculate cc_basename. Skip known compiler wrappers and cross-prefix. func_cc_basename () { for cc_temp in $*""; do case $cc_temp in compile | *[\\/]compile | ccache | *[\\/]ccache ) ;; distcc | *[\\/]distcc | purify | *[\\/]purify ) ;; \-*) ;; *) break;; esac done func_cc_basename_result=`$ECHO "$cc_temp" | $SED "s%.*/%%; s%^$host_alias-%%"` } # Check whether --enable-libtool-lock was given. if test "${enable_libtool_lock+set}" = set; then : enableval=$enable_libtool_lock; fi test no = "$enable_libtool_lock" || enable_libtool_lock=yes # Some flags need to be propagated to the compiler or linker for good # libtool support. case $host in ia64-*-hpux*) # Find out what ABI is being produced by ac_compile, and set mode # options accordingly. echo 'int i;' > conftest.$ac_ext if { { eval echo "\"\$as_me\":${as_lineno-$LINENO}: \"$ac_compile\""; } >&5 (eval $ac_compile) 2>&5 ac_status=$? $as_echo "$as_me:${as_lineno-$LINENO}: \$? = $ac_status" >&5 test $ac_status = 0; }; then case `/usr/bin/file conftest.$ac_objext` in *ELF-32*) HPUX_IA64_MODE=32 ;; *ELF-64*) HPUX_IA64_MODE=64 ;; esac fi rm -rf conftest* ;; *-*-irix6*) # Find out what ABI is being produced by ac_compile, and set linker # options accordingly. echo '#line '$LINENO' "configure"' > conftest.$ac_ext if { { eval echo "\"\$as_me\":${as_lineno-$LINENO}: \"$ac_compile\""; } >&5 (eval $ac_compile) 2>&5 ac_status=$? $as_echo "$as_me:${as_lineno-$LINENO}: \$? = $ac_status" >&5 test $ac_status = 0; }; then if test yes = "$lt_cv_prog_gnu_ld"; then case `/usr/bin/file conftest.$ac_objext` in *32-bit*) LD="${LD-ld} -melf32bsmip" ;; *N32*) LD="${LD-ld} -melf32bmipn32" ;; *64-bit*) LD="${LD-ld} -melf64bmip" ;; esac else case `/usr/bin/file conftest.$ac_objext` in *32-bit*) LD="${LD-ld} -32" ;; *N32*) LD="${LD-ld} -n32" ;; *64-bit*) LD="${LD-ld} -64" ;; esac fi fi rm -rf conftest* ;; mips64*-*linux*) # Find out what ABI is being produced by ac_compile, and set linker # options accordingly. echo '#line '$LINENO' "configure"' > conftest.$ac_ext if { { eval echo "\"\$as_me\":${as_lineno-$LINENO}: \"$ac_compile\""; } >&5 (eval $ac_compile) 2>&5 ac_status=$? $as_echo "$as_me:${as_lineno-$LINENO}: \$? = $ac_status" >&5 test $ac_status = 0; }; then emul=elf case `/usr/bin/file conftest.$ac_objext` in *32-bit*) emul="${emul}32" ;; *64-bit*) emul="${emul}64" ;; esac case `/usr/bin/file conftest.$ac_objext` in *MSB*) emul="${emul}btsmip" ;; *LSB*) emul="${emul}ltsmip" ;; esac case `/usr/bin/file conftest.$ac_objext` in *N32*) emul="${emul}n32" ;; esac LD="${LD-ld} -m $emul" fi rm -rf conftest* ;; x86_64-*kfreebsd*-gnu|x86_64-*linux*|powerpc*-*linux*| \ s390*-*linux*|s390*-*tpf*|sparc*-*linux*) # Find out what ABI is being produced by ac_compile, and set linker # options accordingly. Note that the listed cases only cover the # situations where additional linker options are needed (such as when # doing 32-bit compilation for a host where ld defaults to 64-bit, or # vice versa); the common cases where no linker options are needed do # not appear in the list. echo 'int i;' > conftest.$ac_ext if { { eval echo "\"\$as_me\":${as_lineno-$LINENO}: \"$ac_compile\""; } >&5 (eval $ac_compile) 2>&5 ac_status=$? $as_echo "$as_me:${as_lineno-$LINENO}: \$? = $ac_status" >&5 test $ac_status = 0; }; then case `/usr/bin/file conftest.o` in *32-bit*) case $host in x86_64-*kfreebsd*-gnu) LD="${LD-ld} -m elf_i386_fbsd" ;; x86_64-*linux*) case `/usr/bin/file conftest.o` in *x86-64*) LD="${LD-ld} -m elf32_x86_64" ;; *) LD="${LD-ld} -m elf_i386" ;; esac ;; powerpc64le-*linux*) LD="${LD-ld} -m elf32lppclinux" ;; powerpc64-*linux*) LD="${LD-ld} -m elf32ppclinux" ;; s390x-*linux*) LD="${LD-ld} -m elf_s390" ;; sparc64-*linux*) LD="${LD-ld} -m elf32_sparc" ;; esac ;; *64-bit*) case $host in x86_64-*kfreebsd*-gnu) LD="${LD-ld} -m elf_x86_64_fbsd" ;; x86_64-*linux*) LD="${LD-ld} -m elf_x86_64" ;; powerpcle-*linux*) LD="${LD-ld} -m elf64lppc" ;; powerpc-*linux*) LD="${LD-ld} -m elf64ppc" ;; s390*-*linux*|s390*-*tpf*) LD="${LD-ld} -m elf64_s390" ;; sparc*-*linux*) LD="${LD-ld} -m elf64_sparc" ;; esac ;; esac fi rm -rf conftest* ;; *-*-sco3.2v5*) # On SCO OpenServer 5, we need -belf to get full-featured binaries. SAVE_CFLAGS=$CFLAGS CFLAGS="$CFLAGS -belf" { $as_echo "$as_me:${as_lineno-$LINENO}: checking whether the C compiler needs -belf" >&5 $as_echo_n "checking whether the C compiler needs -belf... " >&6; } if ${lt_cv_cc_needs_belf+:} false; then : $as_echo_n "(cached) " >&6 else ac_ext=c ac_cpp='$CPP $CPPFLAGS' ac_compile='$CC -c $CFLAGS $CPPFLAGS conftest.$ac_ext >&5' ac_link='$CC -o conftest$ac_exeext $CFLAGS $CPPFLAGS $LDFLAGS conftest.$ac_ext $LIBS >&5' ac_compiler_gnu=$ac_cv_c_compiler_gnu cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ int main () { ; return 0; } _ACEOF if ac_fn_c_try_link "$LINENO"; then : lt_cv_cc_needs_belf=yes else lt_cv_cc_needs_belf=no fi rm -f core conftest.err conftest.$ac_objext \ conftest$ac_exeext conftest.$ac_ext ac_ext=c ac_cpp='$CPP $CPPFLAGS' ac_compile='$CC -c $CFLAGS $CPPFLAGS conftest.$ac_ext >&5' ac_link='$CC -o conftest$ac_exeext $CFLAGS $CPPFLAGS $LDFLAGS conftest.$ac_ext $LIBS >&5' ac_compiler_gnu=$ac_cv_c_compiler_gnu fi { $as_echo "$as_me:${as_lineno-$LINENO}: result: $lt_cv_cc_needs_belf" >&5 $as_echo "$lt_cv_cc_needs_belf" >&6; } if test yes != "$lt_cv_cc_needs_belf"; then # this is probably gcc 2.8.0, egcs 1.0 or newer; no need for -belf CFLAGS=$SAVE_CFLAGS fi ;; *-*solaris*) # Find out what ABI is being produced by ac_compile, and set linker # options accordingly. echo 'int i;' > conftest.$ac_ext if { { eval echo "\"\$as_me\":${as_lineno-$LINENO}: \"$ac_compile\""; } >&5 (eval $ac_compile) 2>&5 ac_status=$? $as_echo "$as_me:${as_lineno-$LINENO}: \$? = $ac_status" >&5 test $ac_status = 0; }; then case `/usr/bin/file conftest.o` in *64-bit*) case $lt_cv_prog_gnu_ld in yes*) case $host in i?86-*-solaris*|x86_64-*-solaris*) LD="${LD-ld} -m elf_x86_64" ;; sparc*-*-solaris*) LD="${LD-ld} -m elf64_sparc" ;; esac # GNU ld 2.21 introduced _sol2 emulations. Use them if available. if ${LD-ld} -V | grep _sol2 >/dev/null 2>&1; then LD=${LD-ld}_sol2 fi ;; *) if ${LD-ld} -64 -r -o conftest2.o conftest.o >/dev/null 2>&1; then LD="${LD-ld} -64" fi ;; esac ;; esac fi rm -rf conftest* ;; esac need_locks=$enable_libtool_lock if test -n "$ac_tool_prefix"; then # Extract the first word of "${ac_tool_prefix}mt", so it can be a program name with args. set dummy ${ac_tool_prefix}mt; ac_word=$2 { $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5 $as_echo_n "checking for $ac_word... " >&6; } if ${ac_cv_prog_MANIFEST_TOOL+:} false; then : $as_echo_n "(cached) " >&6 else if test -n "$MANIFEST_TOOL"; then ac_cv_prog_MANIFEST_TOOL="$MANIFEST_TOOL" # Let the user override the test. else as_save_IFS=$IFS; IFS=$PATH_SEPARATOR for as_dir in $PATH do IFS=$as_save_IFS test -z "$as_dir" && as_dir=. for ac_exec_ext in '' $ac_executable_extensions; do if as_fn_executable_p "$as_dir/$ac_word$ac_exec_ext"; then ac_cv_prog_MANIFEST_TOOL="${ac_tool_prefix}mt" $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5 break 2 fi done done IFS=$as_save_IFS fi fi MANIFEST_TOOL=$ac_cv_prog_MANIFEST_TOOL if test -n "$MANIFEST_TOOL"; then { $as_echo "$as_me:${as_lineno-$LINENO}: result: $MANIFEST_TOOL" >&5 $as_echo "$MANIFEST_TOOL" >&6; } else { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 $as_echo "no" >&6; } fi fi if test -z "$ac_cv_prog_MANIFEST_TOOL"; then ac_ct_MANIFEST_TOOL=$MANIFEST_TOOL # Extract the first word of "mt", so it can be a program name with args. set dummy mt; ac_word=$2 { $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5 $as_echo_n "checking for $ac_word... " >&6; } if ${ac_cv_prog_ac_ct_MANIFEST_TOOL+:} false; then : $as_echo_n "(cached) " >&6 else if test -n "$ac_ct_MANIFEST_TOOL"; then ac_cv_prog_ac_ct_MANIFEST_TOOL="$ac_ct_MANIFEST_TOOL" # Let the user override the test. else as_save_IFS=$IFS; IFS=$PATH_SEPARATOR for as_dir in $PATH do IFS=$as_save_IFS test -z "$as_dir" && as_dir=. for ac_exec_ext in '' $ac_executable_extensions; do if as_fn_executable_p "$as_dir/$ac_word$ac_exec_ext"; then ac_cv_prog_ac_ct_MANIFEST_TOOL="mt" $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5 break 2 fi done done IFS=$as_save_IFS fi fi ac_ct_MANIFEST_TOOL=$ac_cv_prog_ac_ct_MANIFEST_TOOL if test -n "$ac_ct_MANIFEST_TOOL"; then { $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_ct_MANIFEST_TOOL" >&5 $as_echo "$ac_ct_MANIFEST_TOOL" >&6; } else { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 $as_echo "no" >&6; } fi if test "x$ac_ct_MANIFEST_TOOL" = x; then MANIFEST_TOOL=":" else case $cross_compiling:$ac_tool_warned in yes:) { $as_echo "$as_me:${as_lineno-$LINENO}: WARNING: using cross tools not prefixed with host triplet" >&5 $as_echo "$as_me: WARNING: using cross tools not prefixed with host triplet" >&2;} ac_tool_warned=yes ;; esac MANIFEST_TOOL=$ac_ct_MANIFEST_TOOL fi else MANIFEST_TOOL="$ac_cv_prog_MANIFEST_TOOL" fi test -z "$MANIFEST_TOOL" && MANIFEST_TOOL=mt { $as_echo "$as_me:${as_lineno-$LINENO}: checking if $MANIFEST_TOOL is a manifest tool" >&5 $as_echo_n "checking if $MANIFEST_TOOL is a manifest tool... " >&6; } if ${lt_cv_path_mainfest_tool+:} false; then : $as_echo_n "(cached) " >&6 else lt_cv_path_mainfest_tool=no echo "$as_me:$LINENO: $MANIFEST_TOOL '-?'" >&5 $MANIFEST_TOOL '-?' 2>conftest.err > conftest.out cat conftest.err >&5 if $GREP 'Manifest Tool' conftest.out > /dev/null; then lt_cv_path_mainfest_tool=yes fi rm -rf conftest* fi { $as_echo "$as_me:${as_lineno-$LINENO}: result: $lt_cv_path_mainfest_tool" >&5 $as_echo "$lt_cv_path_mainfest_tool" >&6; } if test yes != "$lt_cv_path_mainfest_tool"; then MANIFEST_TOOL=: fi case $host_os in rhapsody* | darwin*) if test -n "$ac_tool_prefix"; then # Extract the first word of "${ac_tool_prefix}dsymutil", so it can be a program name with args. set dummy ${ac_tool_prefix}dsymutil; ac_word=$2 { $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5 $as_echo_n "checking for $ac_word... " >&6; } if ${ac_cv_prog_DSYMUTIL+:} false; then : $as_echo_n "(cached) " >&6 else if test -n "$DSYMUTIL"; then ac_cv_prog_DSYMUTIL="$DSYMUTIL" # Let the user override the test. else as_save_IFS=$IFS; IFS=$PATH_SEPARATOR for as_dir in $PATH do IFS=$as_save_IFS test -z "$as_dir" && as_dir=. for ac_exec_ext in '' $ac_executable_extensions; do if as_fn_executable_p "$as_dir/$ac_word$ac_exec_ext"; then ac_cv_prog_DSYMUTIL="${ac_tool_prefix}dsymutil" $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5 break 2 fi done done IFS=$as_save_IFS fi fi DSYMUTIL=$ac_cv_prog_DSYMUTIL if test -n "$DSYMUTIL"; then { $as_echo "$as_me:${as_lineno-$LINENO}: result: $DSYMUTIL" >&5 $as_echo "$DSYMUTIL" >&6; } else { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 $as_echo "no" >&6; } fi fi if test -z "$ac_cv_prog_DSYMUTIL"; then ac_ct_DSYMUTIL=$DSYMUTIL # Extract the first word of "dsymutil", so it can be a program name with args. set dummy dsymutil; ac_word=$2 { $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5 $as_echo_n "checking for $ac_word... " >&6; } if ${ac_cv_prog_ac_ct_DSYMUTIL+:} false; then : $as_echo_n "(cached) " >&6 else if test -n "$ac_ct_DSYMUTIL"; then ac_cv_prog_ac_ct_DSYMUTIL="$ac_ct_DSYMUTIL" # Let the user override the test. else as_save_IFS=$IFS; IFS=$PATH_SEPARATOR for as_dir in $PATH do IFS=$as_save_IFS test -z "$as_dir" && as_dir=. for ac_exec_ext in '' $ac_executable_extensions; do if as_fn_executable_p "$as_dir/$ac_word$ac_exec_ext"; then ac_cv_prog_ac_ct_DSYMUTIL="dsymutil" $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5 break 2 fi done done IFS=$as_save_IFS fi fi ac_ct_DSYMUTIL=$ac_cv_prog_ac_ct_DSYMUTIL if test -n "$ac_ct_DSYMUTIL"; then { $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_ct_DSYMUTIL" >&5 $as_echo "$ac_ct_DSYMUTIL" >&6; } else { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 $as_echo "no" >&6; } fi if test "x$ac_ct_DSYMUTIL" = x; then DSYMUTIL=":" else case $cross_compiling:$ac_tool_warned in yes:) { $as_echo "$as_me:${as_lineno-$LINENO}: WARNING: using cross tools not prefixed with host triplet" >&5 $as_echo "$as_me: WARNING: using cross tools not prefixed with host triplet" >&2;} ac_tool_warned=yes ;; esac DSYMUTIL=$ac_ct_DSYMUTIL fi else DSYMUTIL="$ac_cv_prog_DSYMUTIL" fi if test -n "$ac_tool_prefix"; then # Extract the first word of "${ac_tool_prefix}nmedit", so it can be a program name with args. set dummy ${ac_tool_prefix}nmedit; ac_word=$2 { $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5 $as_echo_n "checking for $ac_word... " >&6; } if ${ac_cv_prog_NMEDIT+:} false; then : $as_echo_n "(cached) " >&6 else if test -n "$NMEDIT"; then ac_cv_prog_NMEDIT="$NMEDIT" # Let the user override the test. else as_save_IFS=$IFS; IFS=$PATH_SEPARATOR for as_dir in $PATH do IFS=$as_save_IFS test -z "$as_dir" && as_dir=. for ac_exec_ext in '' $ac_executable_extensions; do if as_fn_executable_p "$as_dir/$ac_word$ac_exec_ext"; then ac_cv_prog_NMEDIT="${ac_tool_prefix}nmedit" $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5 break 2 fi done done IFS=$as_save_IFS fi fi NMEDIT=$ac_cv_prog_NMEDIT if test -n "$NMEDIT"; then { $as_echo "$as_me:${as_lineno-$LINENO}: result: $NMEDIT" >&5 $as_echo "$NMEDIT" >&6; } else { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 $as_echo "no" >&6; } fi fi if test -z "$ac_cv_prog_NMEDIT"; then ac_ct_NMEDIT=$NMEDIT # Extract the first word of "nmedit", so it can be a program name with args. set dummy nmedit; ac_word=$2 { $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5 $as_echo_n "checking for $ac_word... " >&6; } if ${ac_cv_prog_ac_ct_NMEDIT+:} false; then : $as_echo_n "(cached) " >&6 else if test -n "$ac_ct_NMEDIT"; then ac_cv_prog_ac_ct_NMEDIT="$ac_ct_NMEDIT" # Let the user override the test. else as_save_IFS=$IFS; IFS=$PATH_SEPARATOR for as_dir in $PATH do IFS=$as_save_IFS test -z "$as_dir" && as_dir=. for ac_exec_ext in '' $ac_executable_extensions; do if as_fn_executable_p "$as_dir/$ac_word$ac_exec_ext"; then ac_cv_prog_ac_ct_NMEDIT="nmedit" $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5 break 2 fi done done IFS=$as_save_IFS fi fi ac_ct_NMEDIT=$ac_cv_prog_ac_ct_NMEDIT if test -n "$ac_ct_NMEDIT"; then { $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_ct_NMEDIT" >&5 $as_echo "$ac_ct_NMEDIT" >&6; } else { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 $as_echo "no" >&6; } fi if test "x$ac_ct_NMEDIT" = x; then NMEDIT=":" else case $cross_compiling:$ac_tool_warned in yes:) { $as_echo "$as_me:${as_lineno-$LINENO}: WARNING: using cross tools not prefixed with host triplet" >&5 $as_echo "$as_me: WARNING: using cross tools not prefixed with host triplet" >&2;} ac_tool_warned=yes ;; esac NMEDIT=$ac_ct_NMEDIT fi else NMEDIT="$ac_cv_prog_NMEDIT" fi if test -n "$ac_tool_prefix"; then # Extract the first word of "${ac_tool_prefix}lipo", so it can be a program name with args. set dummy ${ac_tool_prefix}lipo; ac_word=$2 { $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5 $as_echo_n "checking for $ac_word... " >&6; } if ${ac_cv_prog_LIPO+:} false; then : $as_echo_n "(cached) " >&6 else if test -n "$LIPO"; then ac_cv_prog_LIPO="$LIPO" # Let the user override the test. else as_save_IFS=$IFS; IFS=$PATH_SEPARATOR for as_dir in $PATH do IFS=$as_save_IFS test -z "$as_dir" && as_dir=. for ac_exec_ext in '' $ac_executable_extensions; do if as_fn_executable_p "$as_dir/$ac_word$ac_exec_ext"; then ac_cv_prog_LIPO="${ac_tool_prefix}lipo" $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5 break 2 fi done done IFS=$as_save_IFS fi fi LIPO=$ac_cv_prog_LIPO if test -n "$LIPO"; then { $as_echo "$as_me:${as_lineno-$LINENO}: result: $LIPO" >&5 $as_echo "$LIPO" >&6; } else { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 $as_echo "no" >&6; } fi fi if test -z "$ac_cv_prog_LIPO"; then ac_ct_LIPO=$LIPO # Extract the first word of "lipo", so it can be a program name with args. set dummy lipo; ac_word=$2 { $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5 $as_echo_n "checking for $ac_word... " >&6; } if ${ac_cv_prog_ac_ct_LIPO+:} false; then : $as_echo_n "(cached) " >&6 else if test -n "$ac_ct_LIPO"; then ac_cv_prog_ac_ct_LIPO="$ac_ct_LIPO" # Let the user override the test. else as_save_IFS=$IFS; IFS=$PATH_SEPARATOR for as_dir in $PATH do IFS=$as_save_IFS test -z "$as_dir" && as_dir=. for ac_exec_ext in '' $ac_executable_extensions; do if as_fn_executable_p "$as_dir/$ac_word$ac_exec_ext"; then ac_cv_prog_ac_ct_LIPO="lipo" $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5 break 2 fi done done IFS=$as_save_IFS fi fi ac_ct_LIPO=$ac_cv_prog_ac_ct_LIPO if test -n "$ac_ct_LIPO"; then { $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_ct_LIPO" >&5 $as_echo "$ac_ct_LIPO" >&6; } else { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 $as_echo "no" >&6; } fi if test "x$ac_ct_LIPO" = x; then LIPO=":" else case $cross_compiling:$ac_tool_warned in yes:) { $as_echo "$as_me:${as_lineno-$LINENO}: WARNING: using cross tools not prefixed with host triplet" >&5 $as_echo "$as_me: WARNING: using cross tools not prefixed with host triplet" >&2;} ac_tool_warned=yes ;; esac LIPO=$ac_ct_LIPO fi else LIPO="$ac_cv_prog_LIPO" fi if test -n "$ac_tool_prefix"; then # Extract the first word of "${ac_tool_prefix}otool", so it can be a program name with args. set dummy ${ac_tool_prefix}otool; ac_word=$2 { $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5 $as_echo_n "checking for $ac_word... " >&6; } if ${ac_cv_prog_OTOOL+:} false; then : $as_echo_n "(cached) " >&6 else if test -n "$OTOOL"; then ac_cv_prog_OTOOL="$OTOOL" # Let the user override the test. else as_save_IFS=$IFS; IFS=$PATH_SEPARATOR for as_dir in $PATH do IFS=$as_save_IFS test -z "$as_dir" && as_dir=. for ac_exec_ext in '' $ac_executable_extensions; do if as_fn_executable_p "$as_dir/$ac_word$ac_exec_ext"; then ac_cv_prog_OTOOL="${ac_tool_prefix}otool" $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5 break 2 fi done done IFS=$as_save_IFS fi fi OTOOL=$ac_cv_prog_OTOOL if test -n "$OTOOL"; then { $as_echo "$as_me:${as_lineno-$LINENO}: result: $OTOOL" >&5 $as_echo "$OTOOL" >&6; } else { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 $as_echo "no" >&6; } fi fi if test -z "$ac_cv_prog_OTOOL"; then ac_ct_OTOOL=$OTOOL # Extract the first word of "otool", so it can be a program name with args. set dummy otool; ac_word=$2 { $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5 $as_echo_n "checking for $ac_word... " >&6; } if ${ac_cv_prog_ac_ct_OTOOL+:} false; then : $as_echo_n "(cached) " >&6 else if test -n "$ac_ct_OTOOL"; then ac_cv_prog_ac_ct_OTOOL="$ac_ct_OTOOL" # Let the user override the test. else as_save_IFS=$IFS; IFS=$PATH_SEPARATOR for as_dir in $PATH do IFS=$as_save_IFS test -z "$as_dir" && as_dir=. for ac_exec_ext in '' $ac_executable_extensions; do if as_fn_executable_p "$as_dir/$ac_word$ac_exec_ext"; then ac_cv_prog_ac_ct_OTOOL="otool" $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5 break 2 fi done done IFS=$as_save_IFS fi fi ac_ct_OTOOL=$ac_cv_prog_ac_ct_OTOOL if test -n "$ac_ct_OTOOL"; then { $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_ct_OTOOL" >&5 $as_echo "$ac_ct_OTOOL" >&6; } else { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 $as_echo "no" >&6; } fi if test "x$ac_ct_OTOOL" = x; then OTOOL=":" else case $cross_compiling:$ac_tool_warned in yes:) { $as_echo "$as_me:${as_lineno-$LINENO}: WARNING: using cross tools not prefixed with host triplet" >&5 $as_echo "$as_me: WARNING: using cross tools not prefixed with host triplet" >&2;} ac_tool_warned=yes ;; esac OTOOL=$ac_ct_OTOOL fi else OTOOL="$ac_cv_prog_OTOOL" fi if test -n "$ac_tool_prefix"; then # Extract the first word of "${ac_tool_prefix}otool64", so it can be a program name with args. set dummy ${ac_tool_prefix}otool64; ac_word=$2 { $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5 $as_echo_n "checking for $ac_word... " >&6; } if ${ac_cv_prog_OTOOL64+:} false; then : $as_echo_n "(cached) " >&6 else if test -n "$OTOOL64"; then ac_cv_prog_OTOOL64="$OTOOL64" # Let the user override the test. else as_save_IFS=$IFS; IFS=$PATH_SEPARATOR for as_dir in $PATH do IFS=$as_save_IFS test -z "$as_dir" && as_dir=. for ac_exec_ext in '' $ac_executable_extensions; do if as_fn_executable_p "$as_dir/$ac_word$ac_exec_ext"; then ac_cv_prog_OTOOL64="${ac_tool_prefix}otool64" $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5 break 2 fi done done IFS=$as_save_IFS fi fi OTOOL64=$ac_cv_prog_OTOOL64 if test -n "$OTOOL64"; then { $as_echo "$as_me:${as_lineno-$LINENO}: result: $OTOOL64" >&5 $as_echo "$OTOOL64" >&6; } else { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 $as_echo "no" >&6; } fi fi if test -z "$ac_cv_prog_OTOOL64"; then ac_ct_OTOOL64=$OTOOL64 # Extract the first word of "otool64", so it can be a program name with args. set dummy otool64; ac_word=$2 { $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5 $as_echo_n "checking for $ac_word... " >&6; } if ${ac_cv_prog_ac_ct_OTOOL64+:} false; then : $as_echo_n "(cached) " >&6 else if test -n "$ac_ct_OTOOL64"; then ac_cv_prog_ac_ct_OTOOL64="$ac_ct_OTOOL64" # Let the user override the test. else as_save_IFS=$IFS; IFS=$PATH_SEPARATOR for as_dir in $PATH do IFS=$as_save_IFS test -z "$as_dir" && as_dir=. for ac_exec_ext in '' $ac_executable_extensions; do if as_fn_executable_p "$as_dir/$ac_word$ac_exec_ext"; then ac_cv_prog_ac_ct_OTOOL64="otool64" $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5 break 2 fi done done IFS=$as_save_IFS fi fi ac_ct_OTOOL64=$ac_cv_prog_ac_ct_OTOOL64 if test -n "$ac_ct_OTOOL64"; then { $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_ct_OTOOL64" >&5 $as_echo "$ac_ct_OTOOL64" >&6; } else { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 $as_echo "no" >&6; } fi if test "x$ac_ct_OTOOL64" = x; then OTOOL64=":" else case $cross_compiling:$ac_tool_warned in yes:) { $as_echo "$as_me:${as_lineno-$LINENO}: WARNING: using cross tools not prefixed with host triplet" >&5 $as_echo "$as_me: WARNING: using cross tools not prefixed with host triplet" >&2;} ac_tool_warned=yes ;; esac OTOOL64=$ac_ct_OTOOL64 fi else OTOOL64="$ac_cv_prog_OTOOL64" fi { $as_echo "$as_me:${as_lineno-$LINENO}: checking for -single_module linker flag" >&5 $as_echo_n "checking for -single_module linker flag... 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The following line is correct: shared_flag='-G' else if test yes = "$aix_use_runtimelinking"; then shared_flag='$wl-G' else shared_flag='$wl-bM:SRE' fi shared_flag_aix='$wl-bM:SRE' shared_flag_svr4='$wl-G' fi fi export_dynamic_flag_spec='$wl-bexpall' # It seems that -bexpall does not export symbols beginning with # underscore (_), so it is better to generate a list of symbols to export. always_export_symbols=yes if test aix,yes = "$with_aix_soname,$aix_use_runtimelinking"; then # Warning - without using the other runtime loading flags (-brtl), # -berok will link without error, but may produce a broken library. allow_undefined_flag='-berok' # Determine the default libpath from the value encoded in an # empty executable. if test set = "${lt_cv_aix_libpath+set}"; then aix_libpath=$lt_cv_aix_libpath else if ${lt_cv_aix_libpath_+:} false; then : $as_echo_n "(cached) " >&6 else cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ int main () { ; return 0; } _ACEOF if ac_fn_c_try_link "$LINENO"; then : lt_aix_libpath_sed=' /Import File Strings/,/^$/ { /^0/ { s/^0 *\([^ ]*\) *$/\1/ p } }' lt_cv_aix_libpath_=`dump -H conftest$ac_exeext 2>/dev/null | $SED -n -e "$lt_aix_libpath_sed"` # Check for a 64-bit object if we didn't find anything. if test -z "$lt_cv_aix_libpath_"; then lt_cv_aix_libpath_=`dump -HX64 conftest$ac_exeext 2>/dev/null | $SED -n -e "$lt_aix_libpath_sed"` fi fi rm -f core conftest.err conftest.$ac_objext \ conftest$ac_exeext conftest.$ac_ext if test -z "$lt_cv_aix_libpath_"; then lt_cv_aix_libpath_=/usr/lib:/lib fi fi aix_libpath=$lt_cv_aix_libpath_ fi hardcode_libdir_flag_spec='$wl-blibpath:$libdir:'"$aix_libpath" archive_expsym_cmds='$CC -o $output_objdir/$soname $libobjs $deplibs $wl'$no_entry_flag' $compiler_flags `if test -n "$allow_undefined_flag"; then func_echo_all "$wl$allow_undefined_flag"; else :; fi` $wl'$exp_sym_flag:\$export_symbols' '$shared_flag else if test ia64 = "$host_cpu"; then hardcode_libdir_flag_spec='$wl-R $libdir:/usr/lib:/lib' allow_undefined_flag="-z nodefs" archive_expsym_cmds="\$CC $shared_flag"' -o $output_objdir/$soname $libobjs $deplibs '"\$wl$no_entry_flag"' $compiler_flags $wl$allow_undefined_flag '"\$wl$exp_sym_flag:\$export_symbols" else # Determine the default libpath from the value encoded in an # empty executable. if test set = "${lt_cv_aix_libpath+set}"; then aix_libpath=$lt_cv_aix_libpath else if ${lt_cv_aix_libpath_+:} false; then : $as_echo_n "(cached) " >&6 else cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ int main () { ; return 0; } _ACEOF if ac_fn_c_try_link "$LINENO"; then : lt_aix_libpath_sed=' /Import File Strings/,/^$/ { /^0/ { s/^0 *\([^ ]*\) *$/\1/ p } }' lt_cv_aix_libpath_=`dump -H conftest$ac_exeext 2>/dev/null | $SED -n -e "$lt_aix_libpath_sed"` # Check for a 64-bit object if we didn't find anything. if test -z "$lt_cv_aix_libpath_"; then lt_cv_aix_libpath_=`dump -HX64 conftest$ac_exeext 2>/dev/null | $SED -n -e "$lt_aix_libpath_sed"` fi fi rm -f core conftest.err conftest.$ac_objext \ conftest$ac_exeext conftest.$ac_ext if test -z "$lt_cv_aix_libpath_"; then lt_cv_aix_libpath_=/usr/lib:/lib fi fi aix_libpath=$lt_cv_aix_libpath_ fi hardcode_libdir_flag_spec='$wl-blibpath:$libdir:'"$aix_libpath" # Warning - without using the other run time loading flags, # -berok will link without error, but may produce a broken library. no_undefined_flag=' $wl-bernotok' allow_undefined_flag=' $wl-berok' if test yes = "$with_gnu_ld"; then # We only use this code for GNU lds that support --whole-archive. whole_archive_flag_spec='$wl--whole-archive$convenience $wl--no-whole-archive' else # Exported symbols can be pulled into shared objects from archives whole_archive_flag_spec='$convenience' fi archive_cmds_need_lc=yes archive_expsym_cmds='$RM -r $output_objdir/$realname.d~$MKDIR $output_objdir/$realname.d' # -brtl affects multiple linker settings, -berok does not and is overridden later compiler_flags_filtered='`func_echo_all "$compiler_flags " | $SED -e "s%-brtl\\([, ]\\)%-berok\\1%g"`' if test svr4 != "$with_aix_soname"; then # This is similar to how AIX traditionally builds its shared libraries. archive_expsym_cmds="$archive_expsym_cmds"'~$CC '$shared_flag_aix' -o $output_objdir/$realname.d/$soname $libobjs $deplibs $wl-bnoentry '$compiler_flags_filtered'$wl-bE:$export_symbols$allow_undefined_flag~$AR $AR_FLAGS $output_objdir/$libname$release.a $output_objdir/$realname.d/$soname' fi if test aix != "$with_aix_soname"; then archive_expsym_cmds="$archive_expsym_cmds"'~$CC '$shared_flag_svr4' -o $output_objdir/$realname.d/$shared_archive_member_spec.o $libobjs $deplibs $wl-bnoentry '$compiler_flags_filtered'$wl-bE:$export_symbols$allow_undefined_flag~$STRIP -e $output_objdir/$realname.d/$shared_archive_member_spec.o~( func_echo_all "#! $soname($shared_archive_member_spec.o)"; if test shr_64 = "$shared_archive_member_spec"; then func_echo_all "# 64"; else func_echo_all "# 32"; fi; cat $export_symbols ) > $output_objdir/$realname.d/$shared_archive_member_spec.imp~$AR $AR_FLAGS $output_objdir/$soname $output_objdir/$realname.d/$shared_archive_member_spec.o $output_objdir/$realname.d/$shared_archive_member_spec.imp' else # used by -dlpreopen to get the symbols archive_expsym_cmds="$archive_expsym_cmds"'~$MV $output_objdir/$realname.d/$soname $output_objdir' fi archive_expsym_cmds="$archive_expsym_cmds"'~$RM -r $output_objdir/$realname.d' fi fi ;; amigaos*) case $host_cpu in powerpc) # see comment about AmigaOS4 .so support archive_cmds='$CC -shared $libobjs $deplibs $compiler_flags $wl-soname $wl$soname -o $lib' archive_expsym_cmds='' ;; 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dgux*) archive_cmds='$LD -G -h $soname -o $lib $libobjs $deplibs $linker_flags' hardcode_libdir_flag_spec='-L$libdir' hardcode_shlibpath_var=no ;; # FreeBSD 2.2.[012] allows us to include c++rt0.o to get C++ constructor # support. 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" >&6; } if ${lt_cv_prog_compiler__b+:} false; then : $as_echo_n "(cached) " >&6 else lt_cv_prog_compiler__b=no save_LDFLAGS=$LDFLAGS LDFLAGS="$LDFLAGS -b" echo "$lt_simple_link_test_code" > conftest.$ac_ext if (eval $ac_link 2>conftest.err) && test -s conftest$ac_exeext; then # The linker can only warn and ignore the option if not recognized # So say no if there are warnings if test -s conftest.err; then # Append any errors to the config.log. cat conftest.err 1>&5 $ECHO "$_lt_linker_boilerplate" | $SED '/^$/d' > conftest.exp $SED '/^$/d; /^ *+/d' conftest.err >conftest.er2 if diff conftest.exp conftest.er2 >/dev/null; then lt_cv_prog_compiler__b=yes fi else lt_cv_prog_compiler__b=yes fi fi $RM -r conftest* LDFLAGS=$save_LDFLAGS fi { $as_echo "$as_me:${as_lineno-$LINENO}: result: $lt_cv_prog_compiler__b" >&5 $as_echo "$lt_cv_prog_compiler__b" >&6; } if test yes = "$lt_cv_prog_compiler__b"; then archive_cmds='$CC -b $wl+h $wl$soname $wl+b $wl$install_libdir -o $lib $libobjs $deplibs $compiler_flags' else archive_cmds='$LD -b +h $soname +b $install_libdir -o $lib $libobjs $deplibs $linker_flags' fi ;; esac fi if test no = "$with_gnu_ld"; then hardcode_libdir_flag_spec='$wl+b $wl$libdir' hardcode_libdir_separator=: case $host_cpu in hppa*64*|ia64*) hardcode_direct=no hardcode_shlibpath_var=no ;; *) hardcode_direct=yes hardcode_direct_absolute=yes export_dynamic_flag_spec='$wl-E' # hardcode_minus_L: Not really in the search PATH, # but as the default location of the library. hardcode_minus_L=yes ;; esac fi ;; irix5* | irix6* | nonstopux*) if test yes = "$GCC"; then archive_cmds='$CC -shared $pic_flag $libobjs $deplibs $compiler_flags $wl-soname $wl$soname `test -n "$verstring" && func_echo_all "$wl-set_version $wl$verstring"` $wl-update_registry $wl$output_objdir/so_locations -o $lib' # Try to use the -exported_symbol ld option, if it does not # work, assume that -exports_file does not work either and # implicitly export all symbols. # This should be the same for all languages, so no per-tag cache variable. { $as_echo "$as_me:${as_lineno-$LINENO}: checking whether the $host_os linker accepts -exported_symbol" >&5 $as_echo_n "checking whether the $host_os linker accepts -exported_symbol... " >&6; } if ${lt_cv_irix_exported_symbol+:} false; then : $as_echo_n "(cached) " >&6 else save_LDFLAGS=$LDFLAGS LDFLAGS="$LDFLAGS -shared $wl-exported_symbol ${wl}foo $wl-update_registry $wl/dev/null" cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ int foo (void) { return 0; } _ACEOF if ac_fn_c_try_link "$LINENO"; then : lt_cv_irix_exported_symbol=yes else lt_cv_irix_exported_symbol=no fi rm -f core conftest.err conftest.$ac_objext \ conftest$ac_exeext conftest.$ac_ext LDFLAGS=$save_LDFLAGS fi { $as_echo "$as_me:${as_lineno-$LINENO}: result: $lt_cv_irix_exported_symbol" >&5 $as_echo "$lt_cv_irix_exported_symbol" >&6; } if test yes = "$lt_cv_irix_exported_symbol"; then archive_expsym_cmds='$CC -shared $pic_flag $libobjs $deplibs $compiler_flags $wl-soname $wl$soname `test -n "$verstring" && func_echo_all "$wl-set_version $wl$verstring"` $wl-update_registry $wl$output_objdir/so_locations $wl-exports_file $wl$export_symbols -o $lib' fi else archive_cmds='$CC -shared $libobjs $deplibs $compiler_flags -soname $soname `test -n "$verstring" && func_echo_all "-set_version $verstring"` -update_registry $output_objdir/so_locations -o $lib' archive_expsym_cmds='$CC -shared $libobjs $deplibs $compiler_flags -soname $soname `test -n "$verstring" && func_echo_all "-set_version $verstring"` -update_registry $output_objdir/so_locations -exports_file $export_symbols -o $lib' fi archive_cmds_need_lc='no' hardcode_libdir_flag_spec='$wl-rpath $wl$libdir' hardcode_libdir_separator=: inherit_rpath=yes link_all_deplibs=yes ;; linux*) case $cc_basename in tcc*) # Fabrice Bellard et al's Tiny C Compiler ld_shlibs=yes archive_cmds='$CC -shared $pic_flag -o $lib $libobjs $deplibs $compiler_flags' ;; esac ;; netbsd*) if echo __ELF__ | $CC -E - | $GREP __ELF__ >/dev/null; then archive_cmds='$LD -Bshareable -o $lib $libobjs $deplibs $linker_flags' # a.out else archive_cmds='$LD -shared -o $lib $libobjs $deplibs $linker_flags' # ELF fi hardcode_libdir_flag_spec='-R$libdir' hardcode_direct=yes hardcode_shlibpath_var=no ;; newsos6) archive_cmds='$LD -G -h $soname -o $lib $libobjs $deplibs $linker_flags' hardcode_direct=yes hardcode_libdir_flag_spec='$wl-rpath $wl$libdir' hardcode_libdir_separator=: hardcode_shlibpath_var=no ;; *nto* | *qnx*) ;; openbsd* | bitrig*) if test -f /usr/libexec/ld.so; then hardcode_direct=yes hardcode_shlibpath_var=no hardcode_direct_absolute=yes if test -z "`echo __ELF__ | $CC -E - | $GREP __ELF__`"; then archive_cmds='$CC -shared $pic_flag -o $lib $libobjs $deplibs $compiler_flags' archive_expsym_cmds='$CC -shared $pic_flag -o $lib $libobjs $deplibs $compiler_flags $wl-retain-symbols-file,$export_symbols' hardcode_libdir_flag_spec='$wl-rpath,$libdir' export_dynamic_flag_spec='$wl-E' else archive_cmds='$CC -shared $pic_flag -o $lib $libobjs $deplibs $compiler_flags' hardcode_libdir_flag_spec='$wl-rpath,$libdir' fi else ld_shlibs=no fi ;; os2*) hardcode_libdir_flag_spec='-L$libdir' hardcode_minus_L=yes allow_undefined_flag=unsupported shrext_cmds=.dll archive_cmds='$ECHO "LIBRARY ${soname%$shared_ext} INITINSTANCE TERMINSTANCE" > $output_objdir/$libname.def~ $ECHO "DESCRIPTION \"$libname\"" >> $output_objdir/$libname.def~ $ECHO "DATA MULTIPLE NONSHARED" >> $output_objdir/$libname.def~ $ECHO EXPORTS >> $output_objdir/$libname.def~ emxexp $libobjs | $SED /"_DLL_InitTerm"/d >> $output_objdir/$libname.def~ $CC -Zdll -Zcrtdll -o $output_objdir/$soname $libobjs $deplibs $compiler_flags $output_objdir/$libname.def~ emximp -o $lib $output_objdir/$libname.def' archive_expsym_cmds='$ECHO "LIBRARY ${soname%$shared_ext} INITINSTANCE TERMINSTANCE" > $output_objdir/$libname.def~ $ECHO "DESCRIPTION \"$libname\"" >> $output_objdir/$libname.def~ $ECHO "DATA MULTIPLE NONSHARED" >> $output_objdir/$libname.def~ $ECHO EXPORTS >> $output_objdir/$libname.def~ prefix_cmds="$SED"~ if test EXPORTS = "`$SED 1q $export_symbols`"; then prefix_cmds="$prefix_cmds -e 1d"; fi~ prefix_cmds="$prefix_cmds -e \"s/^\(.*\)$/_\1/g\""~ cat $export_symbols | $prefix_cmds >> $output_objdir/$libname.def~ $CC -Zdll -Zcrtdll -o $output_objdir/$soname $libobjs $deplibs $compiler_flags $output_objdir/$libname.def~ emximp -o $lib $output_objdir/$libname.def' old_archive_From_new_cmds='emximp -o $output_objdir/${libname}_dll.a $output_objdir/$libname.def' enable_shared_with_static_runtimes=yes ;; osf3*) if test yes = "$GCC"; then allow_undefined_flag=' $wl-expect_unresolved $wl\*' archive_cmds='$CC -shared$allow_undefined_flag $libobjs $deplibs $compiler_flags $wl-soname $wl$soname `test -n "$verstring" && func_echo_all "$wl-set_version $wl$verstring"` $wl-update_registry $wl$output_objdir/so_locations -o $lib' else allow_undefined_flag=' -expect_unresolved \*' archive_cmds='$CC -shared$allow_undefined_flag $libobjs $deplibs $compiler_flags -soname $soname `test -n "$verstring" && func_echo_all "-set_version $verstring"` -update_registry $output_objdir/so_locations -o $lib' fi archive_cmds_need_lc='no' hardcode_libdir_flag_spec='$wl-rpath $wl$libdir' hardcode_libdir_separator=: ;; osf4* | osf5*) # as osf3* with the addition of -msym flag if test yes = "$GCC"; then allow_undefined_flag=' $wl-expect_unresolved $wl\*' archive_cmds='$CC -shared$allow_undefined_flag $pic_flag $libobjs $deplibs $compiler_flags $wl-msym $wl-soname $wl$soname `test -n "$verstring" && func_echo_all "$wl-set_version $wl$verstring"` $wl-update_registry $wl$output_objdir/so_locations -o $lib' hardcode_libdir_flag_spec='$wl-rpath $wl$libdir' else allow_undefined_flag=' -expect_unresolved \*' archive_cmds='$CC -shared$allow_undefined_flag $libobjs $deplibs $compiler_flags -msym -soname $soname `test -n "$verstring" && func_echo_all "-set_version $verstring"` -update_registry $output_objdir/so_locations -o $lib' archive_expsym_cmds='for i in `cat $export_symbols`; do printf "%s %s\\n" -exported_symbol "\$i" >> $lib.exp; done; printf "%s\\n" "-hidden">> $lib.exp~ $CC -shared$allow_undefined_flag $wl-input $wl$lib.exp $compiler_flags $libobjs $deplibs -soname $soname `test -n "$verstring" && $ECHO "-set_version $verstring"` -update_registry $output_objdir/so_locations -o $lib~$RM $lib.exp' # Both c and cxx compiler support -rpath directly hardcode_libdir_flag_spec='-rpath $libdir' fi archive_cmds_need_lc='no' hardcode_libdir_separator=: ;; solaris*) no_undefined_flag=' -z defs' if test yes = "$GCC"; then wlarc='$wl' archive_cmds='$CC -shared $pic_flag $wl-z ${wl}text $wl-h $wl$soname -o $lib $libobjs $deplibs $compiler_flags' archive_expsym_cmds='echo "{ global:" > $lib.exp~cat $export_symbols | $SED -e "s/\(.*\)/\1;/" >> $lib.exp~echo "local: *; };" >> $lib.exp~ $CC -shared $pic_flag $wl-z ${wl}text $wl-M $wl$lib.exp $wl-h $wl$soname -o $lib $libobjs $deplibs $compiler_flags~$RM $lib.exp' else case `$CC -V 2>&1` in *"Compilers 5.0"*) wlarc='' archive_cmds='$LD -G$allow_undefined_flag -h $soname -o $lib $libobjs $deplibs $linker_flags' archive_expsym_cmds='echo "{ global:" > $lib.exp~cat $export_symbols | $SED -e "s/\(.*\)/\1;/" >> $lib.exp~echo "local: *; };" >> $lib.exp~ $LD -G$allow_undefined_flag -M $lib.exp -h $soname -o $lib $libobjs $deplibs $linker_flags~$RM $lib.exp' ;; *) wlarc='$wl' archive_cmds='$CC -G$allow_undefined_flag -h $soname -o $lib $libobjs $deplibs $compiler_flags' archive_expsym_cmds='echo "{ global:" > $lib.exp~cat $export_symbols | $SED -e "s/\(.*\)/\1;/" >> $lib.exp~echo "local: *; };" >> $lib.exp~ $CC -G$allow_undefined_flag -M $lib.exp -h $soname -o $lib $libobjs $deplibs $compiler_flags~$RM $lib.exp' ;; esac fi hardcode_libdir_flag_spec='-R$libdir' hardcode_shlibpath_var=no case $host_os in solaris2.[0-5] | solaris2.[0-5].*) ;; *) # The compiler driver will combine and reorder linker options, # but understands '-z linker_flag'. GCC discards it without '$wl', # but is careful enough not to reorder. # Supported since Solaris 2.6 (maybe 2.5.1?) if test yes = "$GCC"; then whole_archive_flag_spec='$wl-z ${wl}allextract$convenience $wl-z ${wl}defaultextract' else whole_archive_flag_spec='-z allextract$convenience -z defaultextract' fi ;; esac link_all_deplibs=yes ;; sunos4*) if test sequent = "$host_vendor"; then # Use $CC to link under sequent, because it throws in some extra .o # files that make .init and .fini sections work. archive_cmds='$CC -G $wl-h $soname -o $lib $libobjs $deplibs $compiler_flags' else archive_cmds='$LD -assert pure-text -Bstatic -o $lib $libobjs $deplibs $linker_flags' fi hardcode_libdir_flag_spec='-L$libdir' hardcode_direct=yes hardcode_minus_L=yes hardcode_shlibpath_var=no ;; sysv4) case $host_vendor in sni) archive_cmds='$LD -G -h $soname -o $lib $libobjs $deplibs $linker_flags' hardcode_direct=yes # is this really true??? ;; siemens) ## LD is ld it makes a PLAMLIB ## CC just makes a GrossModule. archive_cmds='$LD -G -o $lib $libobjs $deplibs $linker_flags' reload_cmds='$CC -r -o $output$reload_objs' hardcode_direct=no ;; motorola) archive_cmds='$LD -G -h $soname -o $lib $libobjs $deplibs $linker_flags' hardcode_direct=no #Motorola manual says yes, but my tests say they lie ;; esac runpath_var='LD_RUN_PATH' hardcode_shlibpath_var=no ;; sysv4.3*) archive_cmds='$LD -G -h $soname -o $lib $libobjs $deplibs $linker_flags' hardcode_shlibpath_var=no export_dynamic_flag_spec='-Bexport' ;; sysv4*MP*) if test -d /usr/nec; then archive_cmds='$LD -G -h $soname -o $lib $libobjs $deplibs $linker_flags' hardcode_shlibpath_var=no runpath_var=LD_RUN_PATH hardcode_runpath_var=yes ld_shlibs=yes fi ;; sysv4*uw2* | sysv5OpenUNIX* | sysv5UnixWare7.[01].[10]* | unixware7* | sco3.2v5.0.[024]*) no_undefined_flag='$wl-z,text' archive_cmds_need_lc=no hardcode_shlibpath_var=no runpath_var='LD_RUN_PATH' if test yes = "$GCC"; then archive_cmds='$CC -shared $wl-h,$soname -o $lib $libobjs $deplibs $compiler_flags' archive_expsym_cmds='$CC -shared $wl-Bexport:$export_symbols $wl-h,$soname -o $lib $libobjs $deplibs $compiler_flags' else archive_cmds='$CC -G $wl-h,$soname -o $lib $libobjs $deplibs $compiler_flags' archive_expsym_cmds='$CC -G $wl-Bexport:$export_symbols $wl-h,$soname -o $lib $libobjs $deplibs $compiler_flags' fi ;; sysv5* | sco3.2v5* | sco5v6*) # Note: We CANNOT use -z defs as we might desire, because we do not # link with -lc, and that would cause any symbols used from libc to # always be unresolved, which means just about no library would # ever link correctly. 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# This must be glibc/ELF. linux* | k*bsd*-gnu | kopensolaris*-gnu | gnu*) version_type=linux # correct to gnu/linux during the next big refactor need_lib_prefix=no need_version=no library_names_spec='$libname$release$shared_ext$versuffix $libname$release$shared_ext$major $libname$shared_ext' soname_spec='$libname$release$shared_ext$major' finish_cmds='PATH="\$PATH:/sbin" ldconfig -n $libdir' shlibpath_var=LD_LIBRARY_PATH shlibpath_overrides_runpath=no # Some binutils ld are patched to set DT_RUNPATH if ${lt_cv_shlibpath_overrides_runpath+:} false; then : $as_echo_n "(cached) " >&6 else lt_cv_shlibpath_overrides_runpath=no save_LDFLAGS=$LDFLAGS save_libdir=$libdir eval "libdir=/foo; wl=\"$lt_prog_compiler_wl\"; \ LDFLAGS=\"\$LDFLAGS $hardcode_libdir_flag_spec\"" cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ int main () { ; return 0; } _ACEOF if ac_fn_c_try_link "$LINENO"; then : if ($OBJDUMP -p conftest$ac_exeext) 2>/dev/null | grep "RUNPATH.*$libdir" >/dev/null; then : lt_cv_shlibpath_overrides_runpath=yes fi fi rm -f core conftest.err conftest.$ac_objext \ conftest$ac_exeext conftest.$ac_ext LDFLAGS=$save_LDFLAGS libdir=$save_libdir fi shlibpath_overrides_runpath=$lt_cv_shlibpath_overrides_runpath # This implies no fast_install, which is unacceptable. # Some rework will be needed to allow for fast_install # before this can be enabled. hardcode_into_libs=yes # Ideally, we could use ldconfig to report *all* directores which are # searched for libraries, however this is still not possible. Aside from not # being certain /sbin/ldconfig is available, command # 'ldconfig -N -X -v | grep ^/' on 64bit Fedora does not report /usr/lib64, # even though it is searched at run-time. Try to do the best guess by # appending ld.so.conf contents (and includes) to the search path. if test -f /etc/ld.so.conf; then lt_ld_extra=`awk '/^include / { system(sprintf("cd /etc; cat %s 2>/dev/null", \$2)); skip = 1; } { if (!skip) print \$0; skip = 0; }' < /etc/ld.so.conf | $SED -e 's/#.*//;/^[ ]*hwcap[ ]/d;s/[:, ]/ /g;s/=[^=]*$//;s/=[^= ]* / /g;s/"//g;/^$/d' | tr '\n' ' '` sys_lib_dlsearch_path_spec="/lib /usr/lib $lt_ld_extra" fi # We used to test for /lib/ld.so.1 and disable shared libraries on # powerpc, because MkLinux only supported shared libraries with the # GNU dynamic linker. Since this was broken with cross compilers, # most powerpc-linux boxes support dynamic linking these days and # people can always --disable-shared, the test was removed, and we # assume the GNU/Linux dynamic linker is in use. dynamic_linker='GNU/Linux ld.so' ;; netbsd*) version_type=sunos need_lib_prefix=no need_version=no if echo __ELF__ | $CC -E - | $GREP __ELF__ >/dev/null; then library_names_spec='$libname$release$shared_ext$versuffix $libname$shared_ext$versuffix' finish_cmds='PATH="\$PATH:/sbin" ldconfig -m $libdir' dynamic_linker='NetBSD (a.out) ld.so' else library_names_spec='$libname$release$shared_ext$versuffix $libname$release$shared_ext$major $libname$shared_ext' soname_spec='$libname$release$shared_ext$major' dynamic_linker='NetBSD ld.elf_so' fi shlibpath_var=LD_LIBRARY_PATH shlibpath_overrides_runpath=yes hardcode_into_libs=yes ;; newsos6) version_type=linux # correct to gnu/linux during the next big refactor library_names_spec='$libname$release$shared_ext$versuffix $libname$release$shared_ext$major $libname$shared_ext' shlibpath_var=LD_LIBRARY_PATH shlibpath_overrides_runpath=yes ;; *nto* | *qnx*) version_type=qnx need_lib_prefix=no need_version=no library_names_spec='$libname$release$shared_ext$versuffix $libname$release$shared_ext$major $libname$shared_ext' soname_spec='$libname$release$shared_ext$major' shlibpath_var=LD_LIBRARY_PATH shlibpath_overrides_runpath=no hardcode_into_libs=yes dynamic_linker='ldqnx.so' ;; openbsd* | bitrig*) version_type=sunos sys_lib_dlsearch_path_spec=/usr/lib need_lib_prefix=no if test -z "`echo __ELF__ | $CC -E - | $GREP __ELF__`"; then need_version=no else need_version=yes fi library_names_spec='$libname$release$shared_ext$versuffix $libname$shared_ext$versuffix' finish_cmds='PATH="\$PATH:/sbin" ldconfig -m $libdir' shlibpath_var=LD_LIBRARY_PATH shlibpath_overrides_runpath=yes ;; os2*) libname_spec='$name' version_type=windows shrext_cmds=.dll need_version=no need_lib_prefix=no # OS/2 can only load a DLL with a base name of 8 characters or less. soname_spec='`test -n "$os2dllname" && libname="$os2dllname"; v=$($ECHO $release$versuffix | tr -d .-); n=$($ECHO $libname | cut -b -$((8 - ${#v})) | tr . _); $ECHO $n$v`$shared_ext' library_names_spec='${libname}_dll.$libext' dynamic_linker='OS/2 ld.exe' shlibpath_var=BEGINLIBPATH sys_lib_search_path_spec="/lib /usr/lib /usr/local/lib" sys_lib_dlsearch_path_spec=$sys_lib_search_path_spec postinstall_cmds='base_file=`basename \$file`~ dlpath=`$SHELL 2>&1 -c '\''. $dir/'\''\$base_file'\''i; $ECHO \$dlname'\''`~ dldir=$destdir/`dirname \$dlpath`~ test -d \$dldir || mkdir -p \$dldir~ $install_prog $dir/$dlname \$dldir/$dlname~ chmod a+x \$dldir/$dlname~ if test -n '\''$stripme'\'' && test -n '\''$striplib'\''; then eval '\''$striplib \$dldir/$dlname'\'' || exit \$?; fi' postuninstall_cmds='dldll=`$SHELL 2>&1 -c '\''. $file; $ECHO \$dlname'\''`~ dlpath=$dir/\$dldll~ $RM \$dlpath' ;; osf3* | osf4* | osf5*) version_type=osf need_lib_prefix=no need_version=no soname_spec='$libname$release$shared_ext$major' library_names_spec='$libname$release$shared_ext$versuffix $libname$release$shared_ext$major $libname$shared_ext' shlibpath_var=LD_LIBRARY_PATH sys_lib_search_path_spec="/usr/shlib /usr/ccs/lib /usr/lib/cmplrs/cc /usr/lib /usr/local/lib /var/shlib" sys_lib_dlsearch_path_spec=$sys_lib_search_path_spec ;; rdos*) dynamic_linker=no ;; solaris*) version_type=linux # correct to gnu/linux during the next big refactor need_lib_prefix=no need_version=no library_names_spec='$libname$release$shared_ext$versuffix $libname$release$shared_ext$major $libname$shared_ext' soname_spec='$libname$release$shared_ext$major' shlibpath_var=LD_LIBRARY_PATH shlibpath_overrides_runpath=yes hardcode_into_libs=yes # ldd complains unless libraries are executable postinstall_cmds='chmod +x $lib' ;; sunos4*) version_type=sunos library_names_spec='$libname$release$shared_ext$versuffix $libname$shared_ext$versuffix' finish_cmds='PATH="\$PATH:/usr/etc" ldconfig $libdir' shlibpath_var=LD_LIBRARY_PATH shlibpath_overrides_runpath=yes if test yes = "$with_gnu_ld"; then need_lib_prefix=no fi need_version=yes ;; sysv4 | sysv4.3*) version_type=linux # correct to gnu/linux during the next big refactor library_names_spec='$libname$release$shared_ext$versuffix $libname$release$shared_ext$major $libname$shared_ext' soname_spec='$libname$release$shared_ext$major' shlibpath_var=LD_LIBRARY_PATH case $host_vendor in sni) shlibpath_overrides_runpath=no need_lib_prefix=no runpath_var=LD_RUN_PATH ;; siemens) need_lib_prefix=no ;; motorola) need_lib_prefix=no need_version=no shlibpath_overrides_runpath=no sys_lib_search_path_spec='/lib /usr/lib /usr/ccs/lib' ;; esac ;; sysv4*MP*) if test -d /usr/nec; then version_type=linux # correct to gnu/linux during the next big refactor library_names_spec='$libname$shared_ext.$versuffix $libname$shared_ext.$major $libname$shared_ext' soname_spec='$libname$shared_ext.$major' shlibpath_var=LD_LIBRARY_PATH fi ;; sysv5* | sco3.2v5* | sco5v6* | unixware* | OpenUNIX* | sysv4*uw2*) version_type=sco need_lib_prefix=no need_version=no library_names_spec='$libname$release$shared_ext$versuffix $libname$release$shared_ext $libname$shared_ext' soname_spec='$libname$release$shared_ext$major' shlibpath_var=LD_LIBRARY_PATH shlibpath_overrides_runpath=yes hardcode_into_libs=yes if test yes = "$with_gnu_ld"; then sys_lib_search_path_spec='/usr/local/lib /usr/gnu/lib /usr/ccs/lib /usr/lib /lib' else sys_lib_search_path_spec='/usr/ccs/lib /usr/lib' case $host_os in sco3.2v5*) sys_lib_search_path_spec="$sys_lib_search_path_spec /lib" ;; esac fi sys_lib_dlsearch_path_spec='/usr/lib' ;; tpf*) # TPF is a cross-target only. Preferred cross-host = GNU/Linux. version_type=linux # correct to gnu/linux during the next big refactor need_lib_prefix=no need_version=no library_names_spec='$libname$release$shared_ext$versuffix $libname$release$shared_ext$major $libname$shared_ext' shlibpath_var=LD_LIBRARY_PATH shlibpath_overrides_runpath=no hardcode_into_libs=yes ;; uts4*) version_type=linux # correct to gnu/linux during the next big refactor library_names_spec='$libname$release$shared_ext$versuffix $libname$release$shared_ext$major $libname$shared_ext' soname_spec='$libname$release$shared_ext$major' shlibpath_var=LD_LIBRARY_PATH ;; *) dynamic_linker=no ;; esac { $as_echo "$as_me:${as_lineno-$LINENO}: result: $dynamic_linker" >&5 $as_echo "$dynamic_linker" >&6; } test no = "$dynamic_linker" && can_build_shared=no variables_saved_for_relink="PATH $shlibpath_var $runpath_var" if test yes = "$GCC"; then variables_saved_for_relink="$variables_saved_for_relink GCC_EXEC_PREFIX COMPILER_PATH LIBRARY_PATH" fi if test set = "${lt_cv_sys_lib_search_path_spec+set}"; then sys_lib_search_path_spec=$lt_cv_sys_lib_search_path_spec fi if test set = "${lt_cv_sys_lib_dlsearch_path_spec+set}"; then sys_lib_dlsearch_path_spec=$lt_cv_sys_lib_dlsearch_path_spec fi # remember unaugmented sys_lib_dlsearch_path content for libtool script decls... configure_time_dlsearch_path=$sys_lib_dlsearch_path_spec # ... but it needs LT_SYS_LIBRARY_PATH munging for other configure-time code func_munge_path_list sys_lib_dlsearch_path_spec "$LT_SYS_LIBRARY_PATH" # to be used as default LT_SYS_LIBRARY_PATH value in generated libtool configure_time_lt_sys_library_path=$LT_SYS_LIBRARY_PATH { $as_echo "$as_me:${as_lineno-$LINENO}: checking how to hardcode library paths into programs" >&5 $as_echo_n "checking how to hardcode library paths into programs... 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" >&6; } if ${ac_cv_lib_dl_dlopen+:} false; then : $as_echo_n "(cached) " >&6 else ac_check_lib_save_LIBS=$LIBS LIBS="-ldl $LIBS" cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ /* Override any GCC internal prototype to avoid an error. Use char because int might match the return type of a GCC builtin and then its argument prototype would still apply. */ #ifdef __cplusplus extern "C" #endif char dlopen (); int main () { return dlopen (); ; return 0; } _ACEOF if ac_fn_c_try_link "$LINENO"; then : ac_cv_lib_dl_dlopen=yes else ac_cv_lib_dl_dlopen=no fi rm -f core conftest.err conftest.$ac_objext \ conftest$ac_exeext conftest.$ac_ext LIBS=$ac_check_lib_save_LIBS fi { $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_cv_lib_dl_dlopen" >&5 $as_echo "$ac_cv_lib_dl_dlopen" >&6; } if test "x$ac_cv_lib_dl_dlopen" = xyes; then : lt_cv_dlopen=dlopen lt_cv_dlopen_libs=-ldl else lt_cv_dlopen=dyld lt_cv_dlopen_libs= lt_cv_dlopen_self=yes fi ;; tpf*) # Don't try to run any link tests for TPF. We know it's impossible # because TPF is a cross-compiler, and we know how we open DSOs. lt_cv_dlopen=dlopen lt_cv_dlopen_libs= lt_cv_dlopen_self=no ;; *) ac_fn_c_check_func "$LINENO" "shl_load" "ac_cv_func_shl_load" if test "x$ac_cv_func_shl_load" = xyes; then : lt_cv_dlopen=shl_load else { $as_echo "$as_me:${as_lineno-$LINENO}: checking for shl_load in -ldld" >&5 $as_echo_n "checking for shl_load in -ldld... " >&6; } if ${ac_cv_lib_dld_shl_load+:} false; then : $as_echo_n "(cached) " >&6 else ac_check_lib_save_LIBS=$LIBS LIBS="-ldld $LIBS" cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ /* Override any GCC internal prototype to avoid an error. Use char because int might match the return type of a GCC builtin and then its argument prototype would still apply. */ #ifdef __cplusplus extern "C" #endif char shl_load (); int main () { return shl_load (); ; return 0; } _ACEOF if ac_fn_c_try_link "$LINENO"; then : ac_cv_lib_dld_shl_load=yes else ac_cv_lib_dld_shl_load=no fi rm -f core conftest.err conftest.$ac_objext \ conftest$ac_exeext conftest.$ac_ext LIBS=$ac_check_lib_save_LIBS fi { $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_cv_lib_dld_shl_load" >&5 $as_echo "$ac_cv_lib_dld_shl_load" >&6; } if test "x$ac_cv_lib_dld_shl_load" = xyes; then : lt_cv_dlopen=shl_load lt_cv_dlopen_libs=-ldld else ac_fn_c_check_func "$LINENO" "dlopen" "ac_cv_func_dlopen" if test "x$ac_cv_func_dlopen" = xyes; then : lt_cv_dlopen=dlopen else { $as_echo "$as_me:${as_lineno-$LINENO}: checking for dlopen in -ldl" >&5 $as_echo_n "checking for dlopen in -ldl... " >&6; } if ${ac_cv_lib_dl_dlopen+:} false; then : $as_echo_n "(cached) " >&6 else ac_check_lib_save_LIBS=$LIBS LIBS="-ldl $LIBS" cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ /* Override any GCC internal prototype to avoid an error. Use char because int might match the return type of a GCC builtin and then its argument prototype would still apply. */ #ifdef __cplusplus extern "C" #endif char dlopen (); int main () { return dlopen (); ; return 0; } _ACEOF if ac_fn_c_try_link "$LINENO"; then : ac_cv_lib_dl_dlopen=yes else ac_cv_lib_dl_dlopen=no fi rm -f core conftest.err conftest.$ac_objext \ conftest$ac_exeext conftest.$ac_ext LIBS=$ac_check_lib_save_LIBS fi { $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_cv_lib_dl_dlopen" >&5 $as_echo "$ac_cv_lib_dl_dlopen" >&6; } if test "x$ac_cv_lib_dl_dlopen" = xyes; then : lt_cv_dlopen=dlopen lt_cv_dlopen_libs=-ldl else { $as_echo "$as_me:${as_lineno-$LINENO}: checking for dlopen in -lsvld" >&5 $as_echo_n "checking for dlopen in -lsvld... " >&6; } if ${ac_cv_lib_svld_dlopen+:} false; then : $as_echo_n "(cached) " >&6 else ac_check_lib_save_LIBS=$LIBS LIBS="-lsvld $LIBS" cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ /* Override any GCC internal prototype to avoid an error. Use char because int might match the return type of a GCC builtin and then its argument prototype would still apply. */ #ifdef __cplusplus extern "C" #endif char dlopen (); int main () { return dlopen (); ; return 0; } _ACEOF if ac_fn_c_try_link "$LINENO"; then : ac_cv_lib_svld_dlopen=yes else ac_cv_lib_svld_dlopen=no fi rm -f core conftest.err conftest.$ac_objext \ conftest$ac_exeext conftest.$ac_ext LIBS=$ac_check_lib_save_LIBS fi { $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_cv_lib_svld_dlopen" >&5 $as_echo "$ac_cv_lib_svld_dlopen" >&6; } if test "x$ac_cv_lib_svld_dlopen" = xyes; then : lt_cv_dlopen=dlopen lt_cv_dlopen_libs=-lsvld else { $as_echo "$as_me:${as_lineno-$LINENO}: checking for dld_link in -ldld" >&5 $as_echo_n "checking for dld_link in -ldld... " >&6; } if ${ac_cv_lib_dld_dld_link+:} false; then : $as_echo_n "(cached) " >&6 else ac_check_lib_save_LIBS=$LIBS LIBS="-ldld $LIBS" cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ /* Override any GCC internal prototype to avoid an error. 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IN NO EVENT SHALL THE # X CONSORTIUM BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN # AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNEC- # TION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. # # Except as contained in this notice, the name of the X Consortium shall not # be used in advertising or otherwise to promote the sale, use or other deal- # ings in this Software without prior written authorization from the X Consor- # tium. # # # FSF changes to this file are in the public domain. # # Calling this script install-sh is preferred over install.sh, to prevent # 'make' implicit rules from creating a file called install from it # when there is no Makefile. # # This script is compatible with the BSD install script, but was written # from scratch. tab=' ' nl=' ' IFS=" $tab$nl" # Set DOITPROG to "echo" to test this script. doit=${DOITPROG-} doit_exec=${doit:-exec} # Put in absolute file names if you don't have them in your path; # or use environment vars. chgrpprog=${CHGRPPROG-chgrp} chmodprog=${CHMODPROG-chmod} chownprog=${CHOWNPROG-chown} cmpprog=${CMPPROG-cmp} cpprog=${CPPROG-cp} mkdirprog=${MKDIRPROG-mkdir} mvprog=${MVPROG-mv} rmprog=${RMPROG-rm} stripprog=${STRIPPROG-strip} posix_mkdir= # Desired mode of installed file. mode=0755 chgrpcmd= chmodcmd=$chmodprog chowncmd= mvcmd=$mvprog rmcmd="$rmprog -f" stripcmd= src= dst= dir_arg= dst_arg= copy_on_change=false is_target_a_directory=possibly usage="\ Usage: $0 [OPTION]... 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There is NO # warranty; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. # GNU Libtool is free software; you can redistribute it and/or modify # it under the terms of the GNU General Public License as published by # the Free Software Foundation; either version 2 of the License, or # (at your option) any later version. # # As a special exception to the GNU General Public License, # if you distribute this file as part of a program or library that # is built using GNU Libtool, you may include this file under the # same distribution terms that you use for the rest of that program. # # GNU Libtool 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. See the GNU # General Public License for more details. # # You should have received a copy of the GNU General Public License # along with this program. If not, see . PROGRAM=libtool PACKAGE=libtool VERSION=2.4.6 package_revision=2.4.6 ## ------ ## ## Usage. ## ## ------ ## # Run './libtool --help' for help with using this script from the # command line. ## ------------------------------- ## ## User overridable command paths. ## ## ------------------------------- ## # After configure completes, it has a better idea of some of the # shell tools we need than the defaults used by the functions shared # with bootstrap, so set those here where they can still be over- # ridden by the user, but otherwise take precedence. : ${AUTOCONF="autoconf"} : ${AUTOMAKE="automake"} ## -------------------------- ## ## Source external libraries. ## ## -------------------------- ## # Much of our low-level functionality needs to be sourced from external # libraries, which are installed to $pkgauxdir. # Set a version string for this script. scriptversion=2015-01-20.17; # UTC # General shell script boiler plate, and helper functions. # Written by Gary V. Vaughan, 2004 # Copyright (C) 2004-2015 Free Software Foundation, Inc. # This is free software; see the source for copying conditions. There is NO # warranty; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. # This program is free software; you can redistribute it and/or modify # it under the terms of the GNU General Public License as published by # the Free Software Foundation; either version 3 of the License, or # (at your option) any later version. # As a special exception to the GNU General Public License, if you distribute # this file as part of a program or library that is built using GNU Libtool, # you may include this file under the same distribution terms that you use # for the rest of that program. # This program is distributed in the hope that it will be useful, # but WITHOUT ANY WARRANTY; without even the implied warranty of # MERCHANTABILITY or FITNES FOR A PARTICULAR PURPOSE. See the GNU # General Public License for more details. # You should have received a copy of the GNU General Public License # along with this program. If not, see . # Please report bugs or propose patches to gary@gnu.org. ## ------ ## ## Usage. ## ## ------ ## # Evaluate this file near the top of your script to gain access to # the functions and variables defined here: # # . `echo "$0" | ${SED-sed} 's|[^/]*$||'`/build-aux/funclib.sh # # If you need to override any of the default environment variable # settings, do that before evaluating this file. ## -------------------- ## ## Shell normalisation. ## ## -------------------- ## # Some shells need a little help to be as Bourne compatible as possible. # Before doing anything else, make sure all that help has been provided! DUALCASE=1; export DUALCASE # for MKS sh if test -n "${ZSH_VERSION+set}" && (emulate sh) >/dev/null 2>&1; then : emulate sh NULLCMD=: # Pre-4.2 versions of Zsh do word splitting on ${1+"$@"}, which # is contrary to our usage. Disable this feature. alias -g '${1+"$@"}'='"$@"' setopt NO_GLOB_SUBST else case `(set -o) 2>/dev/null` in *posix*) set -o posix ;; esac fi # NLS nuisances: We save the old values in case they are required later. _G_user_locale= _G_safe_locale= for _G_var in LANG LANGUAGE LC_ALL LC_CTYPE LC_COLLATE LC_MESSAGES do eval "if test set = \"\${$_G_var+set}\"; then save_$_G_var=\$$_G_var $_G_var=C export $_G_var _G_user_locale=\"$_G_var=\\\$save_\$_G_var; \$_G_user_locale\" _G_safe_locale=\"$_G_var=C; \$_G_safe_locale\" fi" done # CDPATH. (unset CDPATH) >/dev/null 2>&1 && unset CDPATH # Make sure IFS has a sensible default sp=' ' nl=' ' IFS="$sp $nl" # There are apparently some retarded systems that use ';' as a PATH separator! if test "${PATH_SEPARATOR+set}" != set; then PATH_SEPARATOR=: (PATH='/bin;/bin'; FPATH=$PATH; sh -c :) >/dev/null 2>&1 && { (PATH='/bin:/bin'; FPATH=$PATH; sh -c :) >/dev/null 2>&1 || PATH_SEPARATOR=';' } fi ## ------------------------- ## ## Locate command utilities. ## ## ------------------------- ## # func_executable_p FILE # ---------------------- # Check that FILE is an executable regular file. func_executable_p () { test -f "$1" && test -x "$1" } # func_path_progs PROGS_LIST CHECK_FUNC [PATH] # -------------------------------------------- # Search for either a program that responds to --version with output # containing "GNU", or else returned by CHECK_FUNC otherwise, by # trying all the directories in PATH with each of the elements of # PROGS_LIST. # # CHECK_FUNC should accept the path to a candidate program, and # set $func_check_prog_result if it truncates its output less than # $_G_path_prog_max characters. func_path_progs () { _G_progs_list=$1 _G_check_func=$2 _G_PATH=${3-"$PATH"} _G_path_prog_max=0 _G_path_prog_found=false _G_save_IFS=$IFS; IFS=${PATH_SEPARATOR-:} for _G_dir in $_G_PATH; do IFS=$_G_save_IFS test -z "$_G_dir" && _G_dir=. for _G_prog_name in $_G_progs_list; do for _exeext in '' .EXE; do _G_path_prog=$_G_dir/$_G_prog_name$_exeext func_executable_p "$_G_path_prog" || continue case `"$_G_path_prog" --version 2>&1` in *GNU*) func_path_progs_result=$_G_path_prog _G_path_prog_found=: ;; *) $_G_check_func $_G_path_prog func_path_progs_result=$func_check_prog_result ;; esac $_G_path_prog_found && break 3 done done done IFS=$_G_save_IFS test -z "$func_path_progs_result" && { echo "no acceptable sed could be found in \$PATH" >&2 exit 1 } } # We want to be able to use the functions in this file before configure # has figured out where the best binaries are kept, which means we have # to search for them ourselves - except when the results are already set # where we skip the searches. # Unless the user overrides by setting SED, search the path for either GNU # sed, or the sed that truncates its output the least. test -z "$SED" && { _G_sed_script=s/aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa/bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb/ for _G_i in 1 2 3 4 5 6 7; do _G_sed_script=$_G_sed_script$nl$_G_sed_script done echo "$_G_sed_script" 2>/dev/null | sed 99q >conftest.sed _G_sed_script= func_check_prog_sed () { _G_path_prog=$1 _G_count=0 printf 0123456789 >conftest.in while : do cat conftest.in conftest.in >conftest.tmp mv conftest.tmp conftest.in cp conftest.in conftest.nl echo '' >> conftest.nl "$_G_path_prog" -f conftest.sed conftest.out 2>/dev/null || break diff conftest.out conftest.nl >/dev/null 2>&1 || break _G_count=`expr $_G_count + 1` if test "$_G_count" -gt "$_G_path_prog_max"; then # Best one so far, save it but keep looking for a better one func_check_prog_result=$_G_path_prog _G_path_prog_max=$_G_count fi # 10*(2^10) chars as input seems more than enough test 10 -lt "$_G_count" && break done rm -f conftest.in conftest.tmp conftest.nl conftest.out } func_path_progs "sed gsed" func_check_prog_sed $PATH:/usr/xpg4/bin rm -f conftest.sed SED=$func_path_progs_result } # Unless the user overrides by setting GREP, search the path for either GNU # grep, or the grep that truncates its output the least. test -z "$GREP" && { func_check_prog_grep () { _G_path_prog=$1 _G_count=0 _G_path_prog_max=0 printf 0123456789 >conftest.in while : do cat conftest.in conftest.in >conftest.tmp mv conftest.tmp conftest.in cp conftest.in conftest.nl echo 'GREP' >> conftest.nl "$_G_path_prog" -e 'GREP$' -e '-(cannot match)-' conftest.out 2>/dev/null || break diff conftest.out conftest.nl >/dev/null 2>&1 || break _G_count=`expr $_G_count + 1` if test "$_G_count" -gt "$_G_path_prog_max"; then # Best one so far, save it but keep looking for a better one func_check_prog_result=$_G_path_prog _G_path_prog_max=$_G_count fi # 10*(2^10) chars as input seems more than enough test 10 -lt "$_G_count" && break done rm -f conftest.in conftest.tmp conftest.nl conftest.out } func_path_progs "grep ggrep" func_check_prog_grep $PATH:/usr/xpg4/bin GREP=$func_path_progs_result } ## ------------------------------- ## ## User overridable command paths. ## ## ------------------------------- ## # All uppercase variable names are used for environment variables. These # variables can be overridden by the user before calling a script that # uses them if a suitable command of that name is not already available # in the command search PATH. : ${CP="cp -f"} : ${ECHO="printf %s\n"} : ${EGREP="$GREP -E"} : ${FGREP="$GREP -F"} : ${LN_S="ln -s"} : ${MAKE="make"} : ${MKDIR="mkdir"} : ${MV="mv -f"} : ${RM="rm -f"} : ${SHELL="${CONFIG_SHELL-/bin/sh}"} ## -------------------- ## ## Useful sed snippets. ## ## -------------------- ## sed_dirname='s|/[^/]*$||' sed_basename='s|^.*/||' # Sed substitution that helps us do robust quoting. It backslashifies # metacharacters that are still active within double-quoted strings. sed_quote_subst='s|\([`"$\\]\)|\\\1|g' # Same as above, but do not quote variable references. sed_double_quote_subst='s/\(["`\\]\)/\\\1/g' # Sed substitution that turns a string into a regex matching for the # string literally. sed_make_literal_regex='s|[].[^$\\*\/]|\\&|g' # Sed substitution that converts a w32 file name or path # that contains forward slashes, into one that contains # (escaped) backslashes. A very naive implementation. sed_naive_backslashify='s|\\\\*|\\|g;s|/|\\|g;s|\\|\\\\|g' # Re-'\' parameter expansions in output of sed_double_quote_subst that # were '\'-ed in input to the same. If an odd number of '\' preceded a # '$' in input to sed_double_quote_subst, that '$' was protected from # expansion. Since each input '\' is now two '\'s, look for any number # of runs of four '\'s followed by two '\'s and then a '$'. '\' that '$'. _G_bs='\\' _G_bs2='\\\\' _G_bs4='\\\\\\\\' _G_dollar='\$' sed_double_backslash="\ s/$_G_bs4/&\\ /g s/^$_G_bs2$_G_dollar/$_G_bs&/ s/\\([^$_G_bs]\\)$_G_bs2$_G_dollar/\\1$_G_bs2$_G_bs$_G_dollar/g s/\n//g" ## ----------------- ## ## Global variables. ## ## ----------------- ## # Except for the global variables explicitly listed below, the following # functions in the '^func_' namespace, and the '^require_' namespace # variables initialised in the 'Resource management' section, sourcing # this file will not pollute your global namespace with anything # else. There's no portable way to scope variables in Bourne shell # though, so actually running these functions will sometimes place # results into a variable named after the function, and often use # temporary variables in the '^_G_' namespace. If you are careful to # avoid using those namespaces casually in your sourcing script, things # should continue to work as you expect. And, of course, you can freely # overwrite any of the functions or variables defined here before # calling anything to customize them. EXIT_SUCCESS=0 EXIT_FAILURE=1 EXIT_MISMATCH=63 # $? = 63 is used to indicate version mismatch to missing. EXIT_SKIP=77 # $? = 77 is used to indicate a skipped test to automake. # Allow overriding, eg assuming that you follow the convention of # putting '$debug_cmd' at the start of all your functions, you can get # bash to show function call trace with: # # debug_cmd='eval echo "${FUNCNAME[0]} $*" >&2' bash your-script-name debug_cmd=${debug_cmd-":"} exit_cmd=: # By convention, finish your script with: # # exit $exit_status # # so that you can set exit_status to non-zero if you want to indicate # something went wrong during execution without actually bailing out at # the point of failure. exit_status=$EXIT_SUCCESS # Work around backward compatibility issue on IRIX 6.5. On IRIX 6.4+, sh # is ksh but when the shell is invoked as "sh" and the current value of # the _XPG environment variable is not equal to 1 (one), the special # positional parameter $0, within a function call, is the name of the # function. progpath=$0 # The name of this program. progname=`$ECHO "$progpath" |$SED "$sed_basename"` # Make sure we have an absolute progpath for reexecution: case $progpath in [\\/]*|[A-Za-z]:\\*) ;; *[\\/]*) progdir=`$ECHO "$progpath" |$SED "$sed_dirname"` progdir=`cd "$progdir" && pwd` progpath=$progdir/$progname ;; *) _G_IFS=$IFS IFS=${PATH_SEPARATOR-:} for progdir in $PATH; do IFS=$_G_IFS test -x "$progdir/$progname" && break done IFS=$_G_IFS test -n "$progdir" || progdir=`pwd` progpath=$progdir/$progname ;; esac ## ----------------- ## ## Standard options. ## ## ----------------- ## # The following options affect the operation of the functions defined # below, and should be set appropriately depending on run-time para- # meters passed on the command line. opt_dry_run=false opt_quiet=false opt_verbose=false # Categories 'all' and 'none' are always available. Append any others # you will pass as the first argument to func_warning from your own # code. warning_categories= # By default, display warnings according to 'opt_warning_types'. Set # 'warning_func' to ':' to elide all warnings, or func_fatal_error to # treat the next displayed warning as a fatal error. warning_func=func_warn_and_continue # Set to 'all' to display all warnings, 'none' to suppress all # warnings, or a space delimited list of some subset of # 'warning_categories' to display only the listed warnings. opt_warning_types=all ## -------------------- ## ## Resource management. ## ## -------------------- ## # This section contains definitions for functions that each ensure a # particular resource (a file, or a non-empty configuration variable for # example) is available, and if appropriate to extract default values # from pertinent package files. Call them using their associated # 'require_*' variable to ensure that they are executed, at most, once. # # It's entirely deliberate that calling these functions can set # variables that don't obey the namespace limitations obeyed by the rest # of this file, in order that that they be as useful as possible to # callers. # require_term_colors # ------------------- # Allow display of bold text on terminals that support it. require_term_colors=func_require_term_colors func_require_term_colors () { $debug_cmd test -t 1 && { # COLORTERM and USE_ANSI_COLORS environment variables take # precedence, because most terminfo databases neglect to describe # whether color sequences are supported. test -n "${COLORTERM+set}" && : ${USE_ANSI_COLORS="1"} if test 1 = "$USE_ANSI_COLORS"; then # Standard ANSI escape sequences tc_reset='' tc_bold=''; tc_standout='' tc_red=''; tc_green='' tc_blue=''; tc_cyan='' else # Otherwise trust the terminfo database after all. test -n "`tput sgr0 2>/dev/null`" && { tc_reset=`tput sgr0` test -n "`tput bold 2>/dev/null`" && tc_bold=`tput bold` tc_standout=$tc_bold test -n "`tput smso 2>/dev/null`" && tc_standout=`tput smso` test -n "`tput setaf 1 2>/dev/null`" && tc_red=`tput setaf 1` test -n "`tput setaf 2 2>/dev/null`" && tc_green=`tput setaf 2` test -n "`tput setaf 4 2>/dev/null`" && tc_blue=`tput setaf 4` test -n "`tput setaf 5 2>/dev/null`" && tc_cyan=`tput setaf 5` } fi } require_term_colors=: } ## ----------------- ## ## Function library. ## ## ----------------- ## # This section contains a variety of useful functions to call in your # scripts. Take note of the portable wrappers for features provided by # some modern shells, which will fall back to slower equivalents on # less featureful shells. # func_append VAR VALUE # --------------------- # Append VALUE onto the existing contents of VAR. # We should try to minimise forks, especially on Windows where they are # unreasonably slow, so skip the feature probes when bash or zsh are # being used: if test set = "${BASH_VERSION+set}${ZSH_VERSION+set}"; then : ${_G_HAVE_ARITH_OP="yes"} : ${_G_HAVE_XSI_OPS="yes"} # The += operator was introduced in bash 3.1 case $BASH_VERSION in [12].* | 3.0 | 3.0*) ;; *) : ${_G_HAVE_PLUSEQ_OP="yes"} ;; esac fi # _G_HAVE_PLUSEQ_OP # Can be empty, in which case the shell is probed, "yes" if += is # useable or anything else if it does not work. test -z "$_G_HAVE_PLUSEQ_OP" \ && (eval 'x=a; x+=" b"; test "a b" = "$x"') 2>/dev/null \ && _G_HAVE_PLUSEQ_OP=yes if test yes = "$_G_HAVE_PLUSEQ_OP" then # This is an XSI compatible shell, allowing a faster implementation... eval 'func_append () { $debug_cmd eval "$1+=\$2" }' else # ...otherwise fall back to using expr, which is often a shell builtin. func_append () { $debug_cmd eval "$1=\$$1\$2" } fi # func_append_quoted VAR VALUE # ---------------------------- # Quote VALUE and append to the end of shell variable VAR, separated # by a space. if test yes = "$_G_HAVE_PLUSEQ_OP"; then eval 'func_append_quoted () { $debug_cmd func_quote_for_eval "$2" eval "$1+=\\ \$func_quote_for_eval_result" }' else func_append_quoted () { $debug_cmd func_quote_for_eval "$2" eval "$1=\$$1\\ \$func_quote_for_eval_result" } fi # func_append_uniq VAR VALUE # -------------------------- # Append unique VALUE onto the existing contents of VAR, assuming # entries are delimited by the first character of VALUE. For example: # # func_append_uniq options " --another-option option-argument" # # will only append to $options if " --another-option option-argument " # is not already present somewhere in $options already (note spaces at # each end implied by leading space in second argument). func_append_uniq () { $debug_cmd eval _G_current_value='`$ECHO $'$1'`' _G_delim=`expr "$2" : '\(.\)'` case $_G_delim$_G_current_value$_G_delim in *"$2$_G_delim"*) ;; *) func_append "$@" ;; esac } # func_arith TERM... # ------------------ # Set func_arith_result to the result of evaluating TERMs. test -z "$_G_HAVE_ARITH_OP" \ && (eval 'test 2 = $(( 1 + 1 ))') 2>/dev/null \ && _G_HAVE_ARITH_OP=yes if test yes = "$_G_HAVE_ARITH_OP"; then eval 'func_arith () { $debug_cmd func_arith_result=$(( $* )) }' else func_arith () { $debug_cmd func_arith_result=`expr "$@"` } fi # func_basename FILE # ------------------ # Set func_basename_result to FILE with everything up to and including # the last / stripped. if test yes = "$_G_HAVE_XSI_OPS"; then # If this shell supports suffix pattern removal, then use it to avoid # forking. Hide the definitions single quotes in case the shell chokes # on unsupported syntax... _b='func_basename_result=${1##*/}' _d='case $1 in */*) func_dirname_result=${1%/*}$2 ;; * ) func_dirname_result=$3 ;; esac' else # ...otherwise fall back to using sed. _b='func_basename_result=`$ECHO "$1" |$SED "$sed_basename"`' _d='func_dirname_result=`$ECHO "$1" |$SED "$sed_dirname"` if test "X$func_dirname_result" = "X$1"; then func_dirname_result=$3 else func_append func_dirname_result "$2" fi' fi eval 'func_basename () { $debug_cmd '"$_b"' }' # func_dirname FILE APPEND NONDIR_REPLACEMENT # ------------------------------------------- # Compute the dirname of FILE. If nonempty, add APPEND to the result, # otherwise set result to NONDIR_REPLACEMENT. eval 'func_dirname () { $debug_cmd '"$_d"' }' # func_dirname_and_basename FILE APPEND NONDIR_REPLACEMENT # -------------------------------------------------------- # Perform func_basename and func_dirname in a single function # call: # dirname: Compute the dirname of FILE. If nonempty, # add APPEND to the result, otherwise set result # to NONDIR_REPLACEMENT. # value returned in "$func_dirname_result" # basename: Compute filename of FILE. # value retuned in "$func_basename_result" # For efficiency, we do not delegate to the functions above but instead # duplicate the functionality here. eval 'func_dirname_and_basename () { $debug_cmd '"$_b"' '"$_d"' }' # func_echo ARG... # ---------------- # Echo program name prefixed message. func_echo () { $debug_cmd _G_message=$* func_echo_IFS=$IFS IFS=$nl for _G_line in $_G_message; do IFS=$func_echo_IFS $ECHO "$progname: $_G_line" done IFS=$func_echo_IFS } # func_echo_all ARG... # -------------------- # Invoke $ECHO with all args, space-separated. func_echo_all () { $ECHO "$*" } # func_echo_infix_1 INFIX ARG... # ------------------------------ # Echo program name, followed by INFIX on the first line, with any # additional lines not showing INFIX. func_echo_infix_1 () { $debug_cmd $require_term_colors _G_infix=$1; shift _G_indent=$_G_infix _G_prefix="$progname: $_G_infix: " _G_message=$* # Strip color escape sequences before counting printable length for _G_tc in "$tc_reset" "$tc_bold" "$tc_standout" "$tc_red" "$tc_green" "$tc_blue" "$tc_cyan" do test -n "$_G_tc" && { _G_esc_tc=`$ECHO "$_G_tc" | $SED "$sed_make_literal_regex"` _G_indent=`$ECHO "$_G_indent" | $SED "s|$_G_esc_tc||g"` } done _G_indent="$progname: "`echo "$_G_indent" | $SED 's|.| |g'`" " ## exclude from sc_prohibit_nested_quotes func_echo_infix_1_IFS=$IFS IFS=$nl for _G_line in $_G_message; do IFS=$func_echo_infix_1_IFS $ECHO "$_G_prefix$tc_bold$_G_line$tc_reset" >&2 _G_prefix=$_G_indent done IFS=$func_echo_infix_1_IFS } # func_error ARG... # ----------------- # Echo program name prefixed message to standard error. func_error () { $debug_cmd $require_term_colors func_echo_infix_1 " $tc_standout${tc_red}error$tc_reset" "$*" >&2 } # func_fatal_error ARG... # ----------------------- # Echo program name prefixed message to standard error, and exit. func_fatal_error () { $debug_cmd func_error "$*" exit $EXIT_FAILURE } # func_grep EXPRESSION FILENAME # ----------------------------- # Check whether EXPRESSION matches any line of FILENAME, without output. func_grep () { $debug_cmd $GREP "$1" "$2" >/dev/null 2>&1 } # func_len STRING # --------------- # Set func_len_result to the length of STRING. STRING may not # start with a hyphen. test -z "$_G_HAVE_XSI_OPS" \ && (eval 'x=a/b/c; test 5aa/bb/cc = "${#x}${x%%/*}${x%/*}${x#*/}${x##*/}"') 2>/dev/null \ && _G_HAVE_XSI_OPS=yes if test yes = "$_G_HAVE_XSI_OPS"; then eval 'func_len () { $debug_cmd func_len_result=${#1} }' else func_len () { $debug_cmd func_len_result=`expr "$1" : ".*" 2>/dev/null || echo $max_cmd_len` } fi # func_mkdir_p DIRECTORY-PATH # --------------------------- # Make sure the entire path to DIRECTORY-PATH is available. func_mkdir_p () { $debug_cmd _G_directory_path=$1 _G_dir_list= if test -n "$_G_directory_path" && test : != "$opt_dry_run"; then # Protect directory names starting with '-' case $_G_directory_path in -*) _G_directory_path=./$_G_directory_path ;; esac # While some portion of DIR does not yet exist... while test ! -d "$_G_directory_path"; do # ...make a list in topmost first order. Use a colon delimited # list incase some portion of path contains whitespace. _G_dir_list=$_G_directory_path:$_G_dir_list # If the last portion added has no slash in it, the list is done case $_G_directory_path in */*) ;; *) break ;; esac # ...otherwise throw away the child directory and loop _G_directory_path=`$ECHO "$_G_directory_path" | $SED -e "$sed_dirname"` done _G_dir_list=`$ECHO "$_G_dir_list" | $SED 's|:*$||'` func_mkdir_p_IFS=$IFS; IFS=: for _G_dir in $_G_dir_list; do IFS=$func_mkdir_p_IFS # mkdir can fail with a 'File exist' error if two processes # try to create one of the directories concurrently. Don't # stop in that case! $MKDIR "$_G_dir" 2>/dev/null || : done IFS=$func_mkdir_p_IFS # Bail out if we (or some other process) failed to create a directory. test -d "$_G_directory_path" || \ func_fatal_error "Failed to create '$1'" fi } # func_mktempdir [BASENAME] # ------------------------- # Make a temporary directory that won't clash with other running # libtool processes, and avoids race conditions if possible. If # given, BASENAME is the basename for that directory. func_mktempdir () { $debug_cmd _G_template=${TMPDIR-/tmp}/${1-$progname} if test : = "$opt_dry_run"; then # Return a directory name, but don't create it in dry-run mode _G_tmpdir=$_G_template-$$ else # If mktemp works, use that first and foremost _G_tmpdir=`mktemp -d "$_G_template-XXXXXXXX" 2>/dev/null` if test ! -d "$_G_tmpdir"; then # Failing that, at least try and use $RANDOM to avoid a race _G_tmpdir=$_G_template-${RANDOM-0}$$ func_mktempdir_umask=`umask` umask 0077 $MKDIR "$_G_tmpdir" umask $func_mktempdir_umask fi # If we're not in dry-run mode, bomb out on failure test -d "$_G_tmpdir" || \ func_fatal_error "cannot create temporary directory '$_G_tmpdir'" fi $ECHO "$_G_tmpdir" } # func_normal_abspath PATH # ------------------------ # Remove doubled-up and trailing slashes, "." path components, # and cancel out any ".." path components in PATH after making # it an absolute path. func_normal_abspath () { $debug_cmd # These SED scripts presuppose an absolute path with a trailing slash. _G_pathcar='s|^/\([^/]*\).*$|\1|' _G_pathcdr='s|^/[^/]*||' _G_removedotparts=':dotsl s|/\./|/|g t dotsl s|/\.$|/|' _G_collapseslashes='s|/\{1,\}|/|g' _G_finalslash='s|/*$|/|' # Start from root dir and reassemble the path. func_normal_abspath_result= func_normal_abspath_tpath=$1 func_normal_abspath_altnamespace= case $func_normal_abspath_tpath in "") # Empty path, that just means $cwd. func_stripname '' '/' "`pwd`" func_normal_abspath_result=$func_stripname_result return ;; # The next three entries are used to spot a run of precisely # two leading slashes without using negated character classes; # we take advantage of case's first-match behaviour. ///*) # Unusual form of absolute path, do nothing. ;; //*) # Not necessarily an ordinary path; POSIX reserves leading '//' # and for example Cygwin uses it to access remote file shares # over CIFS/SMB, so we conserve a leading double slash if found. func_normal_abspath_altnamespace=/ ;; /*) # Absolute path, do nothing. ;; *) # Relative path, prepend $cwd. func_normal_abspath_tpath=`pwd`/$func_normal_abspath_tpath ;; esac # Cancel out all the simple stuff to save iterations. We also want # the path to end with a slash for ease of parsing, so make sure # there is one (and only one) here. func_normal_abspath_tpath=`$ECHO "$func_normal_abspath_tpath" | $SED \ -e "$_G_removedotparts" -e "$_G_collapseslashes" -e "$_G_finalslash"` while :; do # Processed it all yet? if test / = "$func_normal_abspath_tpath"; then # If we ascended to the root using ".." the result may be empty now. if test -z "$func_normal_abspath_result"; then func_normal_abspath_result=/ fi break fi func_normal_abspath_tcomponent=`$ECHO "$func_normal_abspath_tpath" | $SED \ -e "$_G_pathcar"` func_normal_abspath_tpath=`$ECHO "$func_normal_abspath_tpath" | $SED \ -e "$_G_pathcdr"` # Figure out what to do with it case $func_normal_abspath_tcomponent in "") # Trailing empty path component, ignore it. ;; ..) # Parent dir; strip last assembled component from result. func_dirname "$func_normal_abspath_result" func_normal_abspath_result=$func_dirname_result ;; *) # Actual path component, append it. func_append func_normal_abspath_result "/$func_normal_abspath_tcomponent" ;; esac done # Restore leading double-slash if one was found on entry. func_normal_abspath_result=$func_normal_abspath_altnamespace$func_normal_abspath_result } # func_notquiet ARG... # -------------------- # Echo program name prefixed message only when not in quiet mode. func_notquiet () { $debug_cmd $opt_quiet || func_echo ${1+"$@"} # A bug in bash halts the script if the last line of a function # fails when set -e is in force, so we need another command to # work around that: : } # func_relative_path SRCDIR DSTDIR # -------------------------------- # Set func_relative_path_result to the relative path from SRCDIR to DSTDIR. func_relative_path () { $debug_cmd func_relative_path_result= func_normal_abspath "$1" func_relative_path_tlibdir=$func_normal_abspath_result func_normal_abspath "$2" func_relative_path_tbindir=$func_normal_abspath_result # Ascend the tree starting from libdir while :; do # check if we have found a prefix of bindir case $func_relative_path_tbindir in $func_relative_path_tlibdir) # found an exact match func_relative_path_tcancelled= break ;; $func_relative_path_tlibdir*) # found a matching prefix func_stripname "$func_relative_path_tlibdir" '' "$func_relative_path_tbindir" func_relative_path_tcancelled=$func_stripname_result if test -z "$func_relative_path_result"; then func_relative_path_result=. fi break ;; *) func_dirname $func_relative_path_tlibdir func_relative_path_tlibdir=$func_dirname_result if test -z "$func_relative_path_tlibdir"; then # Have to descend all the way to the root! func_relative_path_result=../$func_relative_path_result func_relative_path_tcancelled=$func_relative_path_tbindir break fi func_relative_path_result=../$func_relative_path_result ;; esac done # Now calculate path; take care to avoid doubling-up slashes. func_stripname '' '/' "$func_relative_path_result" func_relative_path_result=$func_stripname_result func_stripname '/' '/' "$func_relative_path_tcancelled" if test -n "$func_stripname_result"; then func_append func_relative_path_result "/$func_stripname_result" fi # Normalisation. If bindir is libdir, return '.' else relative path. if test -n "$func_relative_path_result"; then func_stripname './' '' "$func_relative_path_result" func_relative_path_result=$func_stripname_result fi test -n "$func_relative_path_result" || func_relative_path_result=. : } # func_quote_for_eval ARG... # -------------------------- # Aesthetically quote ARGs to be evaled later. # This function returns two values: # i) func_quote_for_eval_result # double-quoted, suitable for a subsequent eval # ii) func_quote_for_eval_unquoted_result # has all characters that are still active within double # quotes backslashified. func_quote_for_eval () { $debug_cmd func_quote_for_eval_unquoted_result= func_quote_for_eval_result= while test 0 -lt $#; do case $1 in *[\\\`\"\$]*) _G_unquoted_arg=`printf '%s\n' "$1" |$SED "$sed_quote_subst"` ;; *) _G_unquoted_arg=$1 ;; esac if test -n "$func_quote_for_eval_unquoted_result"; then func_append func_quote_for_eval_unquoted_result " $_G_unquoted_arg" else func_append func_quote_for_eval_unquoted_result "$_G_unquoted_arg" fi case $_G_unquoted_arg in # Double-quote args containing shell metacharacters to delay # word splitting, command substitution and variable expansion # for a subsequent eval. # Many Bourne shells cannot handle close brackets correctly # in scan sets, so we specify it separately. *[\[\~\#\^\&\*\(\)\{\}\|\;\<\>\?\'\ \ ]*|*]*|"") _G_quoted_arg=\"$_G_unquoted_arg\" ;; *) _G_quoted_arg=$_G_unquoted_arg ;; esac if test -n "$func_quote_for_eval_result"; then func_append func_quote_for_eval_result " $_G_quoted_arg" else func_append func_quote_for_eval_result "$_G_quoted_arg" fi shift done } # func_quote_for_expand ARG # ------------------------- # Aesthetically quote ARG to be evaled later; same as above, # but do not quote variable references. func_quote_for_expand () { $debug_cmd case $1 in *[\\\`\"]*) _G_arg=`$ECHO "$1" | $SED \ -e "$sed_double_quote_subst" -e "$sed_double_backslash"` ;; *) _G_arg=$1 ;; esac case $_G_arg in # Double-quote args containing shell metacharacters to delay # word splitting and command substitution for a subsequent eval. # Many Bourne shells cannot handle close brackets correctly # in scan sets, so we specify it separately. *[\[\~\#\^\&\*\(\)\{\}\|\;\<\>\?\'\ \ ]*|*]*|"") _G_arg=\"$_G_arg\" ;; esac func_quote_for_expand_result=$_G_arg } # func_stripname PREFIX SUFFIX NAME # --------------------------------- # strip PREFIX and SUFFIX from NAME, and store in func_stripname_result. # PREFIX and SUFFIX must not contain globbing or regex special # characters, hashes, percent signs, but SUFFIX may contain a leading # dot (in which case that matches only a dot). if test yes = "$_G_HAVE_XSI_OPS"; then eval 'func_stripname () { $debug_cmd # pdksh 5.2.14 does not do ${X%$Y} correctly if both X and Y are # positional parameters, so assign one to ordinary variable first. func_stripname_result=$3 func_stripname_result=${func_stripname_result#"$1"} func_stripname_result=${func_stripname_result%"$2"} }' else func_stripname () { $debug_cmd case $2 in .*) func_stripname_result=`$ECHO "$3" | $SED -e "s%^$1%%" -e "s%\\\\$2\$%%"`;; *) func_stripname_result=`$ECHO "$3" | $SED -e "s%^$1%%" -e "s%$2\$%%"`;; esac } fi # func_show_eval CMD [FAIL_EXP] # ----------------------------- # Unless opt_quiet is true, then output CMD. Then, if opt_dryrun is # not true, evaluate CMD. If the evaluation of CMD fails, and FAIL_EXP # is given, then evaluate it. func_show_eval () { $debug_cmd _G_cmd=$1 _G_fail_exp=${2-':'} func_quote_for_expand "$_G_cmd" eval "func_notquiet $func_quote_for_expand_result" $opt_dry_run || { eval "$_G_cmd" _G_status=$? if test 0 -ne "$_G_status"; then eval "(exit $_G_status); $_G_fail_exp" fi } } # func_show_eval_locale CMD [FAIL_EXP] # ------------------------------------ # Unless opt_quiet is true, then output CMD. Then, if opt_dryrun is # not true, evaluate CMD. If the evaluation of CMD fails, and FAIL_EXP # is given, then evaluate it. Use the saved locale for evaluation. func_show_eval_locale () { $debug_cmd _G_cmd=$1 _G_fail_exp=${2-':'} $opt_quiet || { func_quote_for_expand "$_G_cmd" eval "func_echo $func_quote_for_expand_result" } $opt_dry_run || { eval "$_G_user_locale $_G_cmd" _G_status=$? eval "$_G_safe_locale" if test 0 -ne "$_G_status"; then eval "(exit $_G_status); $_G_fail_exp" fi } } # func_tr_sh # ---------- # Turn $1 into a string suitable for a shell variable name. # Result is stored in $func_tr_sh_result. All characters # not in the set a-zA-Z0-9_ are replaced with '_'. Further, # if $1 begins with a digit, a '_' is prepended as well. func_tr_sh () { $debug_cmd case $1 in [0-9]* | *[!a-zA-Z0-9_]*) func_tr_sh_result=`$ECHO "$1" | $SED -e 's/^\([0-9]\)/_\1/' -e 's/[^a-zA-Z0-9_]/_/g'` ;; * ) func_tr_sh_result=$1 ;; esac } # func_verbose ARG... # ------------------- # Echo program name prefixed message in verbose mode only. func_verbose () { $debug_cmd $opt_verbose && func_echo "$*" : } # func_warn_and_continue ARG... # ----------------------------- # Echo program name prefixed warning message to standard error. func_warn_and_continue () { $debug_cmd $require_term_colors func_echo_infix_1 "${tc_red}warning$tc_reset" "$*" >&2 } # func_warning CATEGORY ARG... # ---------------------------- # Echo program name prefixed warning message to standard error. Warning # messages can be filtered according to CATEGORY, where this function # elides messages where CATEGORY is not listed in the global variable # 'opt_warning_types'. func_warning () { $debug_cmd # CATEGORY must be in the warning_categories list! case " $warning_categories " in *" $1 "*) ;; *) func_internal_error "invalid warning category '$1'" ;; esac _G_category=$1 shift case " $opt_warning_types " in *" $_G_category "*) $warning_func ${1+"$@"} ;; esac } # func_sort_ver VER1 VER2 # ----------------------- # 'sort -V' is not generally available. # Note this deviates from the version comparison in automake # in that it treats 1.5 < 1.5.0, and treats 1.4.4a < 1.4-p3a # but this should suffice as we won't be specifying old # version formats or redundant trailing .0 in bootstrap.conf. # If we did want full compatibility then we should probably # use m4_version_compare from autoconf. func_sort_ver () { $debug_cmd printf '%s\n%s\n' "$1" "$2" \ | sort -t. -k 1,1n -k 2,2n -k 3,3n -k 4,4n -k 5,5n -k 6,6n -k 7,7n -k 8,8n -k 9,9n } # func_lt_ver PREV CURR # --------------------- # Return true if PREV and CURR are in the correct order according to # func_sort_ver, otherwise false. Use it like this: # # func_lt_ver "$prev_ver" "$proposed_ver" || func_fatal_error "..." func_lt_ver () { $debug_cmd test "x$1" = x`func_sort_ver "$1" "$2" | $SED 1q` } # Local variables: # mode: shell-script # sh-indentation: 2 # eval: (add-hook 'before-save-hook 'time-stamp) # time-stamp-pattern: "10/scriptversion=%:y-%02m-%02d.%02H; # UTC" # time-stamp-time-zone: "UTC" # End: #! /bin/sh # Set a version string for this script. scriptversion=2014-01-07.03; # UTC # A portable, pluggable option parser for Bourne shell. # Written by Gary V. Vaughan, 2010 # Copyright (C) 2010-2015 Free Software Foundation, Inc. # This is free software; see the source for copying conditions. There is NO # warranty; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. # This program is free software: you can redistribute it and/or modify # it under the terms of the GNU General Public License as published by # the Free Software Foundation, either version 3 of the License, 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. See the # GNU General Public License for more details. # You should have received a copy of the GNU General Public License # along with this program. If not, see . # Please report bugs or propose patches to gary@gnu.org. ## ------ ## ## Usage. ## ## ------ ## # This file is a library for parsing options in your shell scripts along # with assorted other useful supporting features that you can make use # of too. # # For the simplest scripts you might need only: # # #!/bin/sh # . relative/path/to/funclib.sh # . relative/path/to/options-parser # scriptversion=1.0 # func_options ${1+"$@"} # eval set dummy "$func_options_result"; shift # ...rest of your script... # # In order for the '--version' option to work, you will need to have a # suitably formatted comment like the one at the top of this file # starting with '# Written by ' and ending with '# warranty; '. # # For '-h' and '--help' to work, you will also need a one line # description of your script's purpose in a comment directly above the # '# Written by ' line, like the one at the top of this file. # # The default options also support '--debug', which will turn on shell # execution tracing (see the comment above debug_cmd below for another # use), and '--verbose' and the func_verbose function to allow your script # to display verbose messages only when your user has specified # '--verbose'. # # After sourcing this file, you can plug processing for additional # options by amending the variables from the 'Configuration' section # below, and following the instructions in the 'Option parsing' # section further down. ## -------------- ## ## Configuration. ## ## -------------- ## # You should override these variables in your script after sourcing this # file so that they reflect the customisations you have added to the # option parser. # The usage line for option parsing errors and the start of '-h' and # '--help' output messages. You can embed shell variables for delayed # expansion at the time the message is displayed, but you will need to # quote other shell meta-characters carefully to prevent them being # expanded when the contents are evaled. usage='$progpath [OPTION]...' # Short help message in response to '-h' and '--help'. Add to this or # override it after sourcing this library to reflect the full set of # options your script accepts. usage_message="\ --debug enable verbose shell tracing -W, --warnings=CATEGORY report the warnings falling in CATEGORY [all] -v, --verbose verbosely report processing --version print version information and exit -h, --help print short or long help message and exit " # Additional text appended to 'usage_message' in response to '--help'. long_help_message=" Warning categories include: 'all' show all warnings 'none' turn off all the warnings 'error' warnings are treated as fatal errors" # Help message printed before fatal option parsing errors. fatal_help="Try '\$progname --help' for more information." ## ------------------------- ## ## Hook function management. ## ## ------------------------- ## # This section contains functions for adding, removing, and running hooks # to the main code. A hook is just a named list of of function, that can # be run in order later on. # func_hookable FUNC_NAME # ----------------------- # Declare that FUNC_NAME will run hooks added with # 'func_add_hook FUNC_NAME ...'. func_hookable () { $debug_cmd func_append hookable_fns " $1" } # func_add_hook FUNC_NAME HOOK_FUNC # --------------------------------- # Request that FUNC_NAME call HOOK_FUNC before it returns. FUNC_NAME must # first have been declared "hookable" by a call to 'func_hookable'. func_add_hook () { $debug_cmd case " $hookable_fns " in *" $1 "*) ;; *) func_fatal_error "'$1' does not accept hook functions." ;; esac eval func_append ${1}_hooks '" $2"' } # func_remove_hook FUNC_NAME HOOK_FUNC # ------------------------------------ # Remove HOOK_FUNC from the list of functions called by FUNC_NAME. func_remove_hook () { $debug_cmd eval ${1}_hooks='`$ECHO "\$'$1'_hooks" |$SED "s| '$2'||"`' } # func_run_hooks FUNC_NAME [ARG]... # --------------------------------- # Run all hook functions registered to FUNC_NAME. # It is assumed that the list of hook functions contains nothing more # than a whitespace-delimited list of legal shell function names, and # no effort is wasted trying to catch shell meta-characters or preserve # whitespace. func_run_hooks () { $debug_cmd case " $hookable_fns " in *" $1 "*) ;; *) func_fatal_error "'$1' does not support hook funcions.n" ;; esac eval _G_hook_fns=\$$1_hooks; shift for _G_hook in $_G_hook_fns; do eval $_G_hook '"$@"' # store returned options list back into positional # parameters for next 'cmd' execution. eval _G_hook_result=\$${_G_hook}_result eval set dummy "$_G_hook_result"; shift done func_quote_for_eval ${1+"$@"} func_run_hooks_result=$func_quote_for_eval_result } ## --------------- ## ## Option parsing. ## ## --------------- ## # In order to add your own option parsing hooks, you must accept the # full positional parameter list in your hook function, remove any # options that you action, and then pass back the remaining unprocessed # options in '_result', escaped suitably for # 'eval'. Like this: # # my_options_prep () # { # $debug_cmd # # # Extend the existing usage message. # usage_message=$usage_message' # -s, --silent don'\''t print informational messages # ' # # func_quote_for_eval ${1+"$@"} # my_options_prep_result=$func_quote_for_eval_result # } # func_add_hook func_options_prep my_options_prep # # # my_silent_option () # { # $debug_cmd # # # Note that for efficiency, we parse as many options as we can # # recognise in a loop before passing the remainder back to the # # caller on the first unrecognised argument we encounter. # while test $# -gt 0; do # opt=$1; shift # case $opt in # --silent|-s) opt_silent=: ;; # # Separate non-argument short options: # -s*) func_split_short_opt "$_G_opt" # set dummy "$func_split_short_opt_name" \ # "-$func_split_short_opt_arg" ${1+"$@"} # shift # ;; # *) set dummy "$_G_opt" "$*"; shift; break ;; # esac # done # # func_quote_for_eval ${1+"$@"} # my_silent_option_result=$func_quote_for_eval_result # } # func_add_hook func_parse_options my_silent_option # # # my_option_validation () # { # $debug_cmd # # $opt_silent && $opt_verbose && func_fatal_help "\ # '--silent' and '--verbose' options are mutually exclusive." # # func_quote_for_eval ${1+"$@"} # my_option_validation_result=$func_quote_for_eval_result # } # func_add_hook func_validate_options my_option_validation # # You'll alse need to manually amend $usage_message to reflect the extra # options you parse. It's preferable to append if you can, so that # multiple option parsing hooks can be added safely. # func_options [ARG]... # --------------------- # All the functions called inside func_options are hookable. See the # individual implementations for details. func_hookable func_options func_options () { $debug_cmd func_options_prep ${1+"$@"} eval func_parse_options \ ${func_options_prep_result+"$func_options_prep_result"} eval func_validate_options \ ${func_parse_options_result+"$func_parse_options_result"} eval func_run_hooks func_options \ ${func_validate_options_result+"$func_validate_options_result"} # save modified positional parameters for caller func_options_result=$func_run_hooks_result } # func_options_prep [ARG]... # -------------------------- # All initialisations required before starting the option parse loop. # Note that when calling hook functions, we pass through the list of # positional parameters. If a hook function modifies that list, and # needs to propogate that back to rest of this script, then the complete # modified list must be put in 'func_run_hooks_result' before # returning. func_hookable func_options_prep func_options_prep () { $debug_cmd # Option defaults: opt_verbose=false opt_warning_types= func_run_hooks func_options_prep ${1+"$@"} # save modified positional parameters for caller func_options_prep_result=$func_run_hooks_result } # func_parse_options [ARG]... # --------------------------- # The main option parsing loop. func_hookable func_parse_options func_parse_options () { $debug_cmd func_parse_options_result= # this just eases exit handling while test $# -gt 0; do # Defer to hook functions for initial option parsing, so they # get priority in the event of reusing an option name. func_run_hooks func_parse_options ${1+"$@"} # Adjust func_parse_options positional parameters to match eval set dummy "$func_run_hooks_result"; shift # Break out of the loop if we already parsed every option. test $# -gt 0 || break _G_opt=$1 shift case $_G_opt in --debug|-x) debug_cmd='set -x' func_echo "enabling shell trace mode" $debug_cmd ;; --no-warnings|--no-warning|--no-warn) set dummy --warnings none ${1+"$@"} shift ;; --warnings|--warning|-W) test $# = 0 && func_missing_arg $_G_opt && break case " $warning_categories $1" in *" $1 "*) # trailing space prevents matching last $1 above func_append_uniq opt_warning_types " $1" ;; *all) opt_warning_types=$warning_categories ;; *none) opt_warning_types=none warning_func=: ;; *error) opt_warning_types=$warning_categories warning_func=func_fatal_error ;; *) func_fatal_error \ "unsupported warning category: '$1'" ;; esac shift ;; --verbose|-v) opt_verbose=: ;; --version) func_version ;; -\?|-h) func_usage ;; --help) func_help ;; # Separate optargs to long options (plugins may need this): --*=*) func_split_equals "$_G_opt" set dummy "$func_split_equals_lhs" \ "$func_split_equals_rhs" ${1+"$@"} shift ;; # Separate optargs to short options: -W*) func_split_short_opt "$_G_opt" set dummy "$func_split_short_opt_name" \ "$func_split_short_opt_arg" ${1+"$@"} shift ;; # Separate non-argument short options: -\?*|-h*|-v*|-x*) func_split_short_opt "$_G_opt" set dummy "$func_split_short_opt_name" \ "-$func_split_short_opt_arg" ${1+"$@"} shift ;; --) break ;; -*) func_fatal_help "unrecognised option: '$_G_opt'" ;; *) set dummy "$_G_opt" ${1+"$@"}; shift; break ;; esac done # save modified positional parameters for caller func_quote_for_eval ${1+"$@"} func_parse_options_result=$func_quote_for_eval_result } # func_validate_options [ARG]... # ------------------------------ # Perform any sanity checks on option settings and/or unconsumed # arguments. func_hookable func_validate_options func_validate_options () { $debug_cmd # Display all warnings if -W was not given. test -n "$opt_warning_types" || opt_warning_types=" $warning_categories" func_run_hooks func_validate_options ${1+"$@"} # Bail if the options were screwed! $exit_cmd $EXIT_FAILURE # save modified positional parameters for caller func_validate_options_result=$func_run_hooks_result } ## ----------------- ## ## Helper functions. ## ## ----------------- ## # This section contains the helper functions used by the rest of the # hookable option parser framework in ascii-betical order. # func_fatal_help ARG... # ---------------------- # Echo program name prefixed message to standard error, followed by # a help hint, and exit. func_fatal_help () { $debug_cmd eval \$ECHO \""Usage: $usage"\" eval \$ECHO \""$fatal_help"\" func_error ${1+"$@"} exit $EXIT_FAILURE } # func_help # --------- # Echo long help message to standard output and exit. func_help () { $debug_cmd func_usage_message $ECHO "$long_help_message" exit 0 } # func_missing_arg ARGNAME # ------------------------ # Echo program name prefixed message to standard error and set global # exit_cmd. func_missing_arg () { $debug_cmd func_error "Missing argument for '$1'." exit_cmd=exit } # func_split_equals STRING # ------------------------ # Set func_split_equals_lhs and func_split_equals_rhs shell variables after # splitting STRING at the '=' sign. test -z "$_G_HAVE_XSI_OPS" \ && (eval 'x=a/b/c; test 5aa/bb/cc = "${#x}${x%%/*}${x%/*}${x#*/}${x##*/}"') 2>/dev/null \ && _G_HAVE_XSI_OPS=yes if test yes = "$_G_HAVE_XSI_OPS" then # This is an XSI compatible shell, allowing a faster implementation... eval 'func_split_equals () { $debug_cmd func_split_equals_lhs=${1%%=*} func_split_equals_rhs=${1#*=} test "x$func_split_equals_lhs" = "x$1" \ && func_split_equals_rhs= }' else # ...otherwise fall back to using expr, which is often a shell builtin. func_split_equals () { $debug_cmd func_split_equals_lhs=`expr "x$1" : 'x\([^=]*\)'` func_split_equals_rhs= test "x$func_split_equals_lhs" = "x$1" \ || func_split_equals_rhs=`expr "x$1" : 'x[^=]*=\(.*\)$'` } fi #func_split_equals # func_split_short_opt SHORTOPT # ----------------------------- # Set func_split_short_opt_name and func_split_short_opt_arg shell # variables after splitting SHORTOPT after the 2nd character. if test yes = "$_G_HAVE_XSI_OPS" then # This is an XSI compatible shell, allowing a faster implementation... eval 'func_split_short_opt () { $debug_cmd func_split_short_opt_arg=${1#??} func_split_short_opt_name=${1%"$func_split_short_opt_arg"} }' else # ...otherwise fall back to using expr, which is often a shell builtin. func_split_short_opt () { $debug_cmd func_split_short_opt_name=`expr "x$1" : 'x-\(.\)'` func_split_short_opt_arg=`expr "x$1" : 'x-.\(.*\)$'` } fi #func_split_short_opt # func_usage # ---------- # Echo short help message to standard output and exit. func_usage () { $debug_cmd func_usage_message $ECHO "Run '$progname --help |${PAGER-more}' for full usage" exit 0 } # func_usage_message # ------------------ # Echo short help message to standard output. func_usage_message () { $debug_cmd eval \$ECHO \""Usage: $usage"\" echo $SED -n 's|^# || /^Written by/{ x;p;x } h /^Written by/q' < "$progpath" echo eval \$ECHO \""$usage_message"\" } # func_version # ------------ # Echo version message to standard output and exit. func_version () { $debug_cmd printf '%s\n' "$progname $scriptversion" $SED -n ' /(C)/!b go :more /\./!{ N s|\n# | | b more } :go /^# Written by /,/# warranty; / { s|^# || s|^# *$|| s|\((C)\)[ 0-9,-]*[ ,-]\([1-9][0-9]* \)|\1 \2| p } /^# Written by / { s|^# || p } /^warranty; /q' < "$progpath" exit $? } # Local variables: # mode: shell-script # sh-indentation: 2 # eval: (add-hook 'before-save-hook 'time-stamp) # time-stamp-pattern: "10/scriptversion=%:y-%02m-%02d.%02H; # UTC" # time-stamp-time-zone: "UTC" # End: # Set a version string. scriptversion='(GNU libtool) 2.4.6' # func_echo ARG... # ---------------- # Libtool also displays the current mode in messages, so override # funclib.sh func_echo with this custom definition. func_echo () { $debug_cmd _G_message=$* func_echo_IFS=$IFS IFS=$nl for _G_line in $_G_message; do IFS=$func_echo_IFS $ECHO "$progname${opt_mode+: $opt_mode}: $_G_line" done IFS=$func_echo_IFS } # func_warning ARG... # ------------------- # Libtool warnings are not categorized, so override funclib.sh # func_warning with this simpler definition. func_warning () { $debug_cmd $warning_func ${1+"$@"} } ## ---------------- ## ## Options parsing. ## ## ---------------- ## # Hook in the functions to make sure our own options are parsed during # the option parsing loop. usage='$progpath [OPTION]... [MODE-ARG]...' # Short help message in response to '-h'. usage_message="Options: --config show all configuration variables --debug enable verbose shell tracing -n, --dry-run display commands without modifying any files --features display basic configuration information and exit --mode=MODE use operation mode MODE --no-warnings equivalent to '-Wnone' --preserve-dup-deps don't remove duplicate dependency libraries --quiet, --silent don't print informational messages --tag=TAG use configuration variables from tag TAG -v, --verbose print more informational messages than default --version print version information -W, --warnings=CATEGORY report the warnings falling in CATEGORY [all] -h, --help, --help-all print short, long, or detailed help message " # Additional text appended to 'usage_message' in response to '--help'. func_help () { $debug_cmd func_usage_message $ECHO "$long_help_message MODE must be one of the following: clean remove files from the build directory compile compile a source file into a libtool object execute automatically set library path, then run a program finish complete the installation of libtool libraries install install libraries or executables link create a library or an executable uninstall remove libraries from an installed directory MODE-ARGS vary depending on the MODE. When passed as first option, '--mode=MODE' may be abbreviated as 'MODE' or a unique abbreviation of that. Try '$progname --help --mode=MODE' for a more detailed description of MODE. When reporting a bug, please describe a test case to reproduce it and include the following information: host-triplet: $host shell: $SHELL compiler: $LTCC compiler flags: $LTCFLAGS linker: $LD (gnu? $with_gnu_ld) version: $progname (GNU libtool) 2.4.6 automake: `($AUTOMAKE --version) 2>/dev/null |$SED 1q` autoconf: `($AUTOCONF --version) 2>/dev/null |$SED 1q` Report bugs to . GNU libtool home page: . General help using GNU software: ." exit 0 } # func_lo2o OBJECT-NAME # --------------------- # Transform OBJECT-NAME from a '.lo' suffix to the platform specific # object suffix. lo2o=s/\\.lo\$/.$objext/ o2lo=s/\\.$objext\$/.lo/ if test yes = "$_G_HAVE_XSI_OPS"; then eval 'func_lo2o () { case $1 in *.lo) func_lo2o_result=${1%.lo}.$objext ;; * ) func_lo2o_result=$1 ;; esac }' # func_xform LIBOBJ-OR-SOURCE # --------------------------- # Transform LIBOBJ-OR-SOURCE from a '.o' or '.c' (or otherwise) # suffix to a '.lo' libtool-object suffix. eval 'func_xform () { func_xform_result=${1%.*}.lo }' else # ...otherwise fall back to using sed. func_lo2o () { func_lo2o_result=`$ECHO "$1" | $SED "$lo2o"` } func_xform () { func_xform_result=`$ECHO "$1" | $SED 's|\.[^.]*$|.lo|'` } fi # func_fatal_configuration ARG... # ------------------------------- # Echo program name prefixed message to standard error, followed by # a configuration failure hint, and exit. func_fatal_configuration () { func__fatal_error ${1+"$@"} \ "See the $PACKAGE documentation for more information." \ "Fatal configuration error." } # func_config # ----------- # Display the configuration for all the tags in this script. func_config () { re_begincf='^# ### BEGIN LIBTOOL' re_endcf='^# ### END LIBTOOL' # Default configuration. $SED "1,/$re_begincf CONFIG/d;/$re_endcf CONFIG/,\$d" < "$progpath" # Now print the configurations for the tags. for tagname in $taglist; do $SED -n "/$re_begincf TAG CONFIG: $tagname\$/,/$re_endcf TAG CONFIG: $tagname\$/p" < "$progpath" done exit $? } # func_features # ------------- # Display the features supported by this script. func_features () { echo "host: $host" if test yes = "$build_libtool_libs"; then echo "enable shared libraries" else echo "disable shared libraries" fi if test yes = "$build_old_libs"; then echo "enable static libraries" else echo "disable static libraries" fi exit $? } # func_enable_tag TAGNAME # ----------------------- # Verify that TAGNAME is valid, and either flag an error and exit, or # enable the TAGNAME tag. We also add TAGNAME to the global $taglist # variable here. func_enable_tag () { # Global variable: tagname=$1 re_begincf="^# ### BEGIN LIBTOOL TAG CONFIG: $tagname\$" re_endcf="^# ### END LIBTOOL TAG CONFIG: $tagname\$" sed_extractcf=/$re_begincf/,/$re_endcf/p # Validate tagname. case $tagname in *[!-_A-Za-z0-9,/]*) func_fatal_error "invalid tag name: $tagname" ;; esac # Don't test for the "default" C tag, as we know it's # there but not specially marked. case $tagname in CC) ;; *) if $GREP "$re_begincf" "$progpath" >/dev/null 2>&1; then taglist="$taglist $tagname" # Evaluate the configuration. Be careful to quote the path # and the sed script, to avoid splitting on whitespace, but # also don't use non-portable quotes within backquotes within # quotes we have to do it in 2 steps: extractedcf=`$SED -n -e "$sed_extractcf" < "$progpath"` eval "$extractedcf" else func_error "ignoring unknown tag $tagname" fi ;; esac } # func_check_version_match # ------------------------ # Ensure that we are using m4 macros, and libtool script from the same # release of libtool. func_check_version_match () { if test "$package_revision" != "$macro_revision"; then if test "$VERSION" != "$macro_version"; then if test -z "$macro_version"; then cat >&2 <<_LT_EOF $progname: Version mismatch error. This is $PACKAGE $VERSION, but the $progname: definition of this LT_INIT comes from an older release. $progname: You should recreate aclocal.m4 with macros from $PACKAGE $VERSION $progname: and run autoconf again. _LT_EOF else cat >&2 <<_LT_EOF $progname: Version mismatch error. This is $PACKAGE $VERSION, but the $progname: definition of this LT_INIT comes from $PACKAGE $macro_version. $progname: You should recreate aclocal.m4 with macros from $PACKAGE $VERSION $progname: and run autoconf again. _LT_EOF fi else cat >&2 <<_LT_EOF $progname: Version mismatch error. This is $PACKAGE $VERSION, revision $package_revision, $progname: but the definition of this LT_INIT comes from revision $macro_revision. $progname: You should recreate aclocal.m4 with macros from revision $package_revision $progname: of $PACKAGE $VERSION and run autoconf again. _LT_EOF fi exit $EXIT_MISMATCH fi } # libtool_options_prep [ARG]... # ----------------------------- # Preparation for options parsed by libtool. libtool_options_prep () { $debug_mode # Option defaults: opt_config=false opt_dlopen= opt_dry_run=false opt_help=false opt_mode= opt_preserve_dup_deps=false opt_quiet=false nonopt= preserve_args= # Shorthand for --mode=foo, only valid as the first argument case $1 in clean|clea|cle|cl) shift; set dummy --mode clean ${1+"$@"}; shift ;; compile|compil|compi|comp|com|co|c) shift; set dummy --mode compile ${1+"$@"}; shift ;; execute|execut|execu|exec|exe|ex|e) shift; set dummy --mode execute ${1+"$@"}; shift ;; finish|finis|fini|fin|fi|f) shift; set dummy --mode finish ${1+"$@"}; shift ;; install|instal|insta|inst|ins|in|i) shift; set dummy --mode install ${1+"$@"}; shift ;; link|lin|li|l) shift; set dummy --mode link ${1+"$@"}; shift ;; uninstall|uninstal|uninsta|uninst|unins|unin|uni|un|u) shift; set dummy --mode uninstall ${1+"$@"}; shift ;; esac # Pass back the list of options. func_quote_for_eval ${1+"$@"} libtool_options_prep_result=$func_quote_for_eval_result } func_add_hook func_options_prep libtool_options_prep # libtool_parse_options [ARG]... # --------------------------------- # Provide handling for libtool specific options. libtool_parse_options () { $debug_cmd # Perform our own loop to consume as many options as possible in # each iteration. while test $# -gt 0; do _G_opt=$1 shift case $_G_opt in --dry-run|--dryrun|-n) opt_dry_run=: ;; --config) func_config ;; --dlopen|-dlopen) opt_dlopen="${opt_dlopen+$opt_dlopen }$1" shift ;; --preserve-dup-deps) opt_preserve_dup_deps=: ;; --features) func_features ;; --finish) set dummy --mode finish ${1+"$@"}; shift ;; --help) opt_help=: ;; --help-all) opt_help=': help-all' ;; --mode) test $# = 0 && func_missing_arg $_G_opt && break opt_mode=$1 case $1 in # Valid mode arguments: clean|compile|execute|finish|install|link|relink|uninstall) ;; # Catch anything else as an error *) func_error "invalid argument for $_G_opt" exit_cmd=exit break ;; esac shift ;; --no-silent|--no-quiet) opt_quiet=false func_append preserve_args " $_G_opt" ;; --no-warnings|--no-warning|--no-warn) opt_warning=false func_append preserve_args " $_G_opt" ;; --no-verbose) opt_verbose=false func_append preserve_args " $_G_opt" ;; --silent|--quiet) opt_quiet=: opt_verbose=false func_append preserve_args " $_G_opt" ;; --tag) test $# = 0 && func_missing_arg $_G_opt && break opt_tag=$1 func_append preserve_args " $_G_opt $1" func_enable_tag "$1" shift ;; --verbose|-v) opt_quiet=false opt_verbose=: func_append preserve_args " $_G_opt" ;; # An option not handled by this hook function: *) set dummy "$_G_opt" ${1+"$@"}; shift; break ;; esac done # save modified positional parameters for caller func_quote_for_eval ${1+"$@"} libtool_parse_options_result=$func_quote_for_eval_result } func_add_hook func_parse_options libtool_parse_options # libtool_validate_options [ARG]... # --------------------------------- # Perform any sanity checks on option settings and/or unconsumed # arguments. libtool_validate_options () { # save first non-option argument if test 0 -lt $#; then nonopt=$1 shift fi # preserve --debug test : = "$debug_cmd" || func_append preserve_args " --debug" case $host in # Solaris2 added to fix http://debbugs.gnu.org/cgi/bugreport.cgi?bug=16452 # see also: http://gcc.gnu.org/bugzilla/show_bug.cgi?id=59788 *cygwin* | *mingw* | *pw32* | *cegcc* | *solaris2* | *os2*) # don't eliminate duplications in $postdeps and $predeps opt_duplicate_compiler_generated_deps=: ;; *) opt_duplicate_compiler_generated_deps=$opt_preserve_dup_deps ;; esac $opt_help || { # Sanity checks first: func_check_version_match test yes != "$build_libtool_libs" \ && test yes != "$build_old_libs" \ && func_fatal_configuration "not configured to build any kind of library" # Darwin sucks eval std_shrext=\"$shrext_cmds\" # Only execute mode is allowed to have -dlopen flags. if test -n "$opt_dlopen" && test execute != "$opt_mode"; then func_error "unrecognized option '-dlopen'" $ECHO "$help" 1>&2 exit $EXIT_FAILURE fi # Change the help message to a mode-specific one. generic_help=$help help="Try '$progname --help --mode=$opt_mode' for more information." } # Pass back the unparsed argument list func_quote_for_eval ${1+"$@"} libtool_validate_options_result=$func_quote_for_eval_result } func_add_hook func_validate_options libtool_validate_options # Process options as early as possible so that --help and --version # can return quickly. func_options ${1+"$@"} eval set dummy "$func_options_result"; shift ## ----------- ## ## Main. ## ## ----------- ## magic='%%%MAGIC variable%%%' magic_exe='%%%MAGIC EXE variable%%%' # Global variables. extracted_archives= extracted_serial=0 # If this variable is set in any of the actions, the command in it # will be execed at the end. This prevents here-documents from being # left over by shells. exec_cmd= # A function that is used when there is no print builtin or printf. func_fallback_echo () { eval 'cat <<_LTECHO_EOF $1 _LTECHO_EOF' } # func_generated_by_libtool # True iff stdin has been generated by Libtool. This function is only # a basic sanity check; it will hardly flush out determined imposters. func_generated_by_libtool_p () { $GREP "^# Generated by .*$PACKAGE" > /dev/null 2>&1 } # func_lalib_p file # True iff FILE is a libtool '.la' library or '.lo' object file. # This function is only a basic sanity check; it will hardly flush out # determined imposters. func_lalib_p () { test -f "$1" && $SED -e 4q "$1" 2>/dev/null | func_generated_by_libtool_p } # func_lalib_unsafe_p file # True iff FILE is a libtool '.la' library or '.lo' object file. # This function implements the same check as func_lalib_p without # resorting to external programs. To this end, it redirects stdin and # closes it afterwards, without saving the original file descriptor. # As a safety measure, use it only where a negative result would be # fatal anyway. Works if 'file' does not exist. func_lalib_unsafe_p () { lalib_p=no if test -f "$1" && test -r "$1" && exec 5<&0 <"$1"; then for lalib_p_l in 1 2 3 4 do read lalib_p_line case $lalib_p_line in \#\ Generated\ by\ *$PACKAGE* ) lalib_p=yes; break;; esac done exec 0<&5 5<&- fi test yes = "$lalib_p" } # func_ltwrapper_script_p file # True iff FILE is a libtool wrapper script # This function is only a basic sanity check; it will hardly flush out # determined imposters. func_ltwrapper_script_p () { test -f "$1" && $lt_truncate_bin < "$1" 2>/dev/null | func_generated_by_libtool_p } # func_ltwrapper_executable_p file # True iff FILE is a libtool wrapper executable # This function is only a basic sanity check; it will hardly flush out # determined imposters. func_ltwrapper_executable_p () { func_ltwrapper_exec_suffix= case $1 in *.exe) ;; *) func_ltwrapper_exec_suffix=.exe ;; esac $GREP "$magic_exe" "$1$func_ltwrapper_exec_suffix" >/dev/null 2>&1 } # func_ltwrapper_scriptname file # Assumes file is an ltwrapper_executable # uses $file to determine the appropriate filename for a # temporary ltwrapper_script. func_ltwrapper_scriptname () { func_dirname_and_basename "$1" "" "." func_stripname '' '.exe' "$func_basename_result" func_ltwrapper_scriptname_result=$func_dirname_result/$objdir/${func_stripname_result}_ltshwrapper } # func_ltwrapper_p file # True iff FILE is a libtool wrapper script or wrapper executable # This function is only a basic sanity check; it will hardly flush out # determined imposters. func_ltwrapper_p () { func_ltwrapper_script_p "$1" || func_ltwrapper_executable_p "$1" } # func_execute_cmds commands fail_cmd # Execute tilde-delimited COMMANDS. # If FAIL_CMD is given, eval that upon failure. # FAIL_CMD may read-access the current command in variable CMD! func_execute_cmds () { $debug_cmd save_ifs=$IFS; IFS='~' for cmd in $1; do IFS=$sp$nl eval cmd=\"$cmd\" IFS=$save_ifs func_show_eval "$cmd" "${2-:}" done IFS=$save_ifs } # func_source file # Source FILE, adding directory component if necessary. # Note that it is not necessary on cygwin/mingw to append a dot to # FILE even if both FILE and FILE.exe exist: automatic-append-.exe # behavior happens only for exec(3), not for open(2)! Also, sourcing # 'FILE.' does not work on cygwin managed mounts. func_source () { $debug_cmd case $1 in */* | *\\*) . "$1" ;; *) . "./$1" ;; esac } # func_resolve_sysroot PATH # Replace a leading = in PATH with a sysroot. Store the result into # func_resolve_sysroot_result func_resolve_sysroot () { func_resolve_sysroot_result=$1 case $func_resolve_sysroot_result in =*) func_stripname '=' '' "$func_resolve_sysroot_result" func_resolve_sysroot_result=$lt_sysroot$func_stripname_result ;; esac } # func_replace_sysroot PATH # If PATH begins with the sysroot, replace it with = and # store the result into func_replace_sysroot_result. func_replace_sysroot () { case $lt_sysroot:$1 in ?*:"$lt_sysroot"*) func_stripname "$lt_sysroot" '' "$1" func_replace_sysroot_result='='$func_stripname_result ;; *) # Including no sysroot. func_replace_sysroot_result=$1 ;; esac } # func_infer_tag arg # Infer tagged configuration to use if any are available and # if one wasn't chosen via the "--tag" command line option. # Only attempt this if the compiler in the base compile # command doesn't match the default compiler. # arg is usually of the form 'gcc ...' func_infer_tag () { $debug_cmd if test -n "$available_tags" && test -z "$tagname"; then CC_quoted= for arg in $CC; do func_append_quoted CC_quoted "$arg" done CC_expanded=`func_echo_all $CC` CC_quoted_expanded=`func_echo_all $CC_quoted` case $@ in # Blanks in the command may have been stripped by the calling shell, # but not from the CC environment variable when configure was run. " $CC "* | "$CC "* | " $CC_expanded "* | "$CC_expanded "* | \ " $CC_quoted"* | "$CC_quoted "* | " $CC_quoted_expanded "* | "$CC_quoted_expanded "*) ;; # Blanks at the start of $base_compile will cause this to fail # if we don't check for them as well. *) for z in $available_tags; do if $GREP "^# ### BEGIN LIBTOOL TAG CONFIG: $z$" < "$progpath" > /dev/null; then # Evaluate the configuration. eval "`$SED -n -e '/^# ### BEGIN LIBTOOL TAG CONFIG: '$z'$/,/^# ### END LIBTOOL TAG CONFIG: '$z'$/p' < $progpath`" CC_quoted= for arg in $CC; do # Double-quote args containing other shell metacharacters. func_append_quoted CC_quoted "$arg" done CC_expanded=`func_echo_all $CC` CC_quoted_expanded=`func_echo_all $CC_quoted` case "$@ " in " $CC "* | "$CC "* | " $CC_expanded "* | "$CC_expanded "* | \ " $CC_quoted"* | "$CC_quoted "* | " $CC_quoted_expanded "* | "$CC_quoted_expanded "*) # The compiler in the base compile command matches # the one in the tagged configuration. # Assume this is the tagged configuration we want. tagname=$z break ;; esac fi done # If $tagname still isn't set, then no tagged configuration # was found and let the user know that the "--tag" command # line option must be used. if test -z "$tagname"; then func_echo "unable to infer tagged configuration" func_fatal_error "specify a tag with '--tag'" # else # func_verbose "using $tagname tagged configuration" fi ;; esac fi } # func_write_libtool_object output_name pic_name nonpic_name # Create a libtool object file (analogous to a ".la" file), # but don't create it if we're doing a dry run. func_write_libtool_object () { write_libobj=$1 if test yes = "$build_libtool_libs"; then write_lobj=\'$2\' else write_lobj=none fi if test yes = "$build_old_libs"; then write_oldobj=\'$3\' else write_oldobj=none fi $opt_dry_run || { cat >${write_libobj}T </dev/null` if test "$?" -eq 0 && test -n "$func_convert_core_file_wine_to_w32_tmp"; then func_convert_core_file_wine_to_w32_result=`$ECHO "$func_convert_core_file_wine_to_w32_tmp" | $SED -e "$sed_naive_backslashify"` else func_convert_core_file_wine_to_w32_result= fi fi } # end: func_convert_core_file_wine_to_w32 # func_convert_core_path_wine_to_w32 ARG # Helper function used by path conversion functions when $build is *nix, and # $host is mingw, cygwin, or some other w32 environment. Relies on a correctly # configured wine environment available, with the winepath program in $build's # $PATH. Assumes ARG has no leading or trailing path separator characters. # # ARG is path to be converted from $build format to win32. # Result is available in $func_convert_core_path_wine_to_w32_result. # Unconvertible file (directory) names in ARG are skipped; if no directory names # are convertible, then the result may be empty. func_convert_core_path_wine_to_w32 () { $debug_cmd # unfortunately, winepath doesn't convert paths, only file names func_convert_core_path_wine_to_w32_result= if test -n "$1"; then oldIFS=$IFS IFS=: for func_convert_core_path_wine_to_w32_f in $1; do IFS=$oldIFS func_convert_core_file_wine_to_w32 "$func_convert_core_path_wine_to_w32_f" if test -n "$func_convert_core_file_wine_to_w32_result"; then if test -z "$func_convert_core_path_wine_to_w32_result"; then func_convert_core_path_wine_to_w32_result=$func_convert_core_file_wine_to_w32_result else func_append func_convert_core_path_wine_to_w32_result ";$func_convert_core_file_wine_to_w32_result" fi fi done IFS=$oldIFS fi } # end: func_convert_core_path_wine_to_w32 # func_cygpath ARGS... # Wrapper around calling the cygpath program via LT_CYGPATH. This is used when # when (1) $build is *nix and Cygwin is hosted via a wine environment; or (2) # $build is MSYS and $host is Cygwin, or (3) $build is Cygwin. In case (1) or # (2), returns the Cygwin file name or path in func_cygpath_result (input # file name or path is assumed to be in w32 format, as previously converted # from $build's *nix or MSYS format). In case (3), returns the w32 file name # or path in func_cygpath_result (input file name or path is assumed to be in # Cygwin format). Returns an empty string on error. # # ARGS are passed to cygpath, with the last one being the file name or path to # be converted. # # Specify the absolute *nix (or w32) name to cygpath in the LT_CYGPATH # environment variable; do not put it in $PATH. func_cygpath () { $debug_cmd if test -n "$LT_CYGPATH" && test -f "$LT_CYGPATH"; then func_cygpath_result=`$LT_CYGPATH "$@" 2>/dev/null` if test "$?" -ne 0; then # on failure, ensure result is empty func_cygpath_result= fi else func_cygpath_result= func_error "LT_CYGPATH is empty or specifies non-existent file: '$LT_CYGPATH'" fi } #end: func_cygpath # func_convert_core_msys_to_w32 ARG # Convert file name or path ARG from MSYS format to w32 format. Return # result in func_convert_core_msys_to_w32_result. func_convert_core_msys_to_w32 () { $debug_cmd # awkward: cmd appends spaces to result func_convert_core_msys_to_w32_result=`( cmd //c echo "$1" ) 2>/dev/null | $SED -e 's/[ ]*$//' -e "$sed_naive_backslashify"` } #end: func_convert_core_msys_to_w32 # func_convert_file_check ARG1 ARG2 # Verify that ARG1 (a file name in $build format) was converted to $host # format in ARG2. Otherwise, emit an error message, but continue (resetting # func_to_host_file_result to ARG1). func_convert_file_check () { $debug_cmd if test -z "$2" && test -n "$1"; then func_error "Could not determine host file name corresponding to" func_error " '$1'" func_error "Continuing, but uninstalled executables may not work." # Fallback: func_to_host_file_result=$1 fi } # end func_convert_file_check # func_convert_path_check FROM_PATHSEP TO_PATHSEP FROM_PATH TO_PATH # Verify that FROM_PATH (a path in $build format) was converted to $host # format in TO_PATH. Otherwise, emit an error message, but continue, resetting # func_to_host_file_result to a simplistic fallback value (see below). func_convert_path_check () { $debug_cmd if test -z "$4" && test -n "$3"; then func_error "Could not determine the host path corresponding to" func_error " '$3'" func_error "Continuing, but uninstalled executables may not work." # Fallback. This is a deliberately simplistic "conversion" and # should not be "improved". See libtool.info. if test "x$1" != "x$2"; then lt_replace_pathsep_chars="s|$1|$2|g" func_to_host_path_result=`echo "$3" | $SED -e "$lt_replace_pathsep_chars"` else func_to_host_path_result=$3 fi fi } # end func_convert_path_check # func_convert_path_front_back_pathsep FRONTPAT BACKPAT REPL ORIG # Modifies func_to_host_path_result by prepending REPL if ORIG matches FRONTPAT # and appending REPL if ORIG matches BACKPAT. func_convert_path_front_back_pathsep () { $debug_cmd case $4 in $1 ) func_to_host_path_result=$3$func_to_host_path_result ;; esac case $4 in $2 ) func_append func_to_host_path_result "$3" ;; esac } # end func_convert_path_front_back_pathsep ################################################## # $build to $host FILE NAME CONVERSION FUNCTIONS # ################################################## # invoked via '$to_host_file_cmd ARG' # # In each case, ARG is the path to be converted from $build to $host format. # Result will be available in $func_to_host_file_result. # func_to_host_file ARG # Converts the file name ARG from $build format to $host format. Return result # in func_to_host_file_result. func_to_host_file () { $debug_cmd $to_host_file_cmd "$1" } # end func_to_host_file # func_to_tool_file ARG LAZY # converts the file name ARG from $build format to toolchain format. Return # result in func_to_tool_file_result. If the conversion in use is listed # in (the comma separated) LAZY, no conversion takes place. func_to_tool_file () { $debug_cmd case ,$2, in *,"$to_tool_file_cmd",*) func_to_tool_file_result=$1 ;; *) $to_tool_file_cmd "$1" func_to_tool_file_result=$func_to_host_file_result ;; esac } # end func_to_tool_file # func_convert_file_noop ARG # Copy ARG to func_to_host_file_result. func_convert_file_noop () { func_to_host_file_result=$1 } # end func_convert_file_noop # func_convert_file_msys_to_w32 ARG # Convert file name ARG from (mingw) MSYS to (mingw) w32 format; automatic # conversion to w32 is not available inside the cwrapper. Returns result in # func_to_host_file_result. func_convert_file_msys_to_w32 () { $debug_cmd func_to_host_file_result=$1 if test -n "$1"; then func_convert_core_msys_to_w32 "$1" func_to_host_file_result=$func_convert_core_msys_to_w32_result fi func_convert_file_check "$1" "$func_to_host_file_result" } # end func_convert_file_msys_to_w32 # func_convert_file_cygwin_to_w32 ARG # Convert file name ARG from Cygwin to w32 format. Returns result in # func_to_host_file_result. func_convert_file_cygwin_to_w32 () { $debug_cmd func_to_host_file_result=$1 if test -n "$1"; then # because $build is cygwin, we call "the" cygpath in $PATH; no need to use # LT_CYGPATH in this case. func_to_host_file_result=`cygpath -m "$1"` fi func_convert_file_check "$1" "$func_to_host_file_result" } # end func_convert_file_cygwin_to_w32 # func_convert_file_nix_to_w32 ARG # Convert file name ARG from *nix to w32 format. Requires a wine environment # and a working winepath. Returns result in func_to_host_file_result. func_convert_file_nix_to_w32 () { $debug_cmd func_to_host_file_result=$1 if test -n "$1"; then func_convert_core_file_wine_to_w32 "$1" func_to_host_file_result=$func_convert_core_file_wine_to_w32_result fi func_convert_file_check "$1" "$func_to_host_file_result" } # end func_convert_file_nix_to_w32 # func_convert_file_msys_to_cygwin ARG # Convert file name ARG from MSYS to Cygwin format. Requires LT_CYGPATH set. # Returns result in func_to_host_file_result. func_convert_file_msys_to_cygwin () { $debug_cmd func_to_host_file_result=$1 if test -n "$1"; then func_convert_core_msys_to_w32 "$1" func_cygpath -u "$func_convert_core_msys_to_w32_result" func_to_host_file_result=$func_cygpath_result fi func_convert_file_check "$1" "$func_to_host_file_result" } # end func_convert_file_msys_to_cygwin # func_convert_file_nix_to_cygwin ARG # Convert file name ARG from *nix to Cygwin format. Requires Cygwin installed # in a wine environment, working winepath, and LT_CYGPATH set. Returns result # in func_to_host_file_result. func_convert_file_nix_to_cygwin () { $debug_cmd func_to_host_file_result=$1 if test -n "$1"; then # convert from *nix to w32, then use cygpath to convert from w32 to cygwin. func_convert_core_file_wine_to_w32 "$1" func_cygpath -u "$func_convert_core_file_wine_to_w32_result" func_to_host_file_result=$func_cygpath_result fi func_convert_file_check "$1" "$func_to_host_file_result" } # end func_convert_file_nix_to_cygwin ############################################# # $build to $host PATH CONVERSION FUNCTIONS # ############################################# # invoked via '$to_host_path_cmd ARG' # # In each case, ARG is the path to be converted from $build to $host format. # The result will be available in $func_to_host_path_result. # # Path separators are also converted from $build format to $host format. If # ARG begins or ends with a path separator character, it is preserved (but # converted to $host format) on output. # # All path conversion functions are named using the following convention: # file name conversion function : func_convert_file_X_to_Y () # path conversion function : func_convert_path_X_to_Y () # where, for any given $build/$host combination the 'X_to_Y' value is the # same. If conversion functions are added for new $build/$host combinations, # the two new functions must follow this pattern, or func_init_to_host_path_cmd # will break. # func_init_to_host_path_cmd # Ensures that function "pointer" variable $to_host_path_cmd is set to the # appropriate value, based on the value of $to_host_file_cmd. to_host_path_cmd= func_init_to_host_path_cmd () { $debug_cmd if test -z "$to_host_path_cmd"; then func_stripname 'func_convert_file_' '' "$to_host_file_cmd" to_host_path_cmd=func_convert_path_$func_stripname_result fi } # func_to_host_path ARG # Converts the path ARG from $build format to $host format. Return result # in func_to_host_path_result. func_to_host_path () { $debug_cmd func_init_to_host_path_cmd $to_host_path_cmd "$1" } # end func_to_host_path # func_convert_path_noop ARG # Copy ARG to func_to_host_path_result. func_convert_path_noop () { func_to_host_path_result=$1 } # end func_convert_path_noop # func_convert_path_msys_to_w32 ARG # Convert path ARG from (mingw) MSYS to (mingw) w32 format; automatic # conversion to w32 is not available inside the cwrapper. Returns result in # func_to_host_path_result. func_convert_path_msys_to_w32 () { $debug_cmd func_to_host_path_result=$1 if test -n "$1"; then # Remove leading and trailing path separator characters from ARG. MSYS # behavior is inconsistent here; cygpath turns them into '.;' and ';.'; # and winepath ignores them completely. func_stripname : : "$1" func_to_host_path_tmp1=$func_stripname_result func_convert_core_msys_to_w32 "$func_to_host_path_tmp1" func_to_host_path_result=$func_convert_core_msys_to_w32_result func_convert_path_check : ";" \ "$func_to_host_path_tmp1" "$func_to_host_path_result" func_convert_path_front_back_pathsep ":*" "*:" ";" "$1" fi } # end func_convert_path_msys_to_w32 # func_convert_path_cygwin_to_w32 ARG # Convert path ARG from Cygwin to w32 format. Returns result in # func_to_host_file_result. func_convert_path_cygwin_to_w32 () { $debug_cmd func_to_host_path_result=$1 if test -n "$1"; then # See func_convert_path_msys_to_w32: func_stripname : : "$1" func_to_host_path_tmp1=$func_stripname_result func_to_host_path_result=`cygpath -m -p "$func_to_host_path_tmp1"` func_convert_path_check : ";" \ "$func_to_host_path_tmp1" "$func_to_host_path_result" func_convert_path_front_back_pathsep ":*" "*:" ";" "$1" fi } # end func_convert_path_cygwin_to_w32 # func_convert_path_nix_to_w32 ARG # Convert path ARG from *nix to w32 format. Requires a wine environment and # a working winepath. Returns result in func_to_host_file_result. func_convert_path_nix_to_w32 () { $debug_cmd func_to_host_path_result=$1 if test -n "$1"; then # See func_convert_path_msys_to_w32: func_stripname : : "$1" func_to_host_path_tmp1=$func_stripname_result func_convert_core_path_wine_to_w32 "$func_to_host_path_tmp1" func_to_host_path_result=$func_convert_core_path_wine_to_w32_result func_convert_path_check : ";" \ "$func_to_host_path_tmp1" "$func_to_host_path_result" func_convert_path_front_back_pathsep ":*" "*:" ";" "$1" fi } # end func_convert_path_nix_to_w32 # func_convert_path_msys_to_cygwin ARG # Convert path ARG from MSYS to Cygwin format. Requires LT_CYGPATH set. # Returns result in func_to_host_file_result. func_convert_path_msys_to_cygwin () { $debug_cmd func_to_host_path_result=$1 if test -n "$1"; then # See func_convert_path_msys_to_w32: func_stripname : : "$1" func_to_host_path_tmp1=$func_stripname_result func_convert_core_msys_to_w32 "$func_to_host_path_tmp1" func_cygpath -u -p "$func_convert_core_msys_to_w32_result" func_to_host_path_result=$func_cygpath_result func_convert_path_check : : \ "$func_to_host_path_tmp1" "$func_to_host_path_result" func_convert_path_front_back_pathsep ":*" "*:" : "$1" fi } # end func_convert_path_msys_to_cygwin # func_convert_path_nix_to_cygwin ARG # Convert path ARG from *nix to Cygwin format. Requires Cygwin installed in a # a wine environment, working winepath, and LT_CYGPATH set. Returns result in # func_to_host_file_result. func_convert_path_nix_to_cygwin () { $debug_cmd func_to_host_path_result=$1 if test -n "$1"; then # Remove leading and trailing path separator characters from # ARG. msys behavior is inconsistent here, cygpath turns them # into '.;' and ';.', and winepath ignores them completely. func_stripname : : "$1" func_to_host_path_tmp1=$func_stripname_result func_convert_core_path_wine_to_w32 "$func_to_host_path_tmp1" func_cygpath -u -p "$func_convert_core_path_wine_to_w32_result" func_to_host_path_result=$func_cygpath_result func_convert_path_check : : \ "$func_to_host_path_tmp1" "$func_to_host_path_result" func_convert_path_front_back_pathsep ":*" "*:" : "$1" fi } # end func_convert_path_nix_to_cygwin # func_dll_def_p FILE # True iff FILE is a Windows DLL '.def' file. # Keep in sync with _LT_DLL_DEF_P in libtool.m4 func_dll_def_p () { $debug_cmd func_dll_def_p_tmp=`$SED -n \ -e 's/^[ ]*//' \ -e '/^\(;.*\)*$/d' \ -e 's/^\(EXPORTS\|LIBRARY\)\([ ].*\)*$/DEF/p' \ -e q \ "$1"` test DEF = "$func_dll_def_p_tmp" } # func_mode_compile arg... func_mode_compile () { $debug_cmd # Get the compilation command and the source file. base_compile= srcfile=$nonopt # always keep a non-empty value in "srcfile" suppress_opt=yes suppress_output= arg_mode=normal libobj= later= pie_flag= for arg do case $arg_mode in arg ) # do not "continue". Instead, add this to base_compile lastarg=$arg arg_mode=normal ;; target ) libobj=$arg arg_mode=normal continue ;; normal ) # Accept any command-line options. case $arg in -o) test -n "$libobj" && \ func_fatal_error "you cannot specify '-o' more than once" arg_mode=target continue ;; -pie | -fpie | -fPIE) func_append pie_flag " $arg" continue ;; -shared | -static | -prefer-pic | -prefer-non-pic) func_append later " $arg" continue ;; -no-suppress) suppress_opt=no continue ;; -Xcompiler) arg_mode=arg # the next one goes into the "base_compile" arg list continue # The current "srcfile" will either be retained or ;; # replaced later. I would guess that would be a bug. -Wc,*) func_stripname '-Wc,' '' "$arg" args=$func_stripname_result lastarg= save_ifs=$IFS; IFS=, for arg in $args; do IFS=$save_ifs func_append_quoted lastarg "$arg" done IFS=$save_ifs func_stripname ' ' '' "$lastarg" lastarg=$func_stripname_result # Add the arguments to base_compile. func_append base_compile " $lastarg" continue ;; *) # Accept the current argument as the source file. # The previous "srcfile" becomes the current argument. # lastarg=$srcfile srcfile=$arg ;; esac # case $arg ;; esac # case $arg_mode # Aesthetically quote the previous argument. func_append_quoted base_compile "$lastarg" done # for arg case $arg_mode in arg) func_fatal_error "you must specify an argument for -Xcompile" ;; target) func_fatal_error "you must specify a target with '-o'" ;; *) # Get the name of the library object. test -z "$libobj" && { func_basename "$srcfile" libobj=$func_basename_result } ;; esac # Recognize several different file suffixes. # If the user specifies -o file.o, it is replaced with file.lo case $libobj in *.[cCFSifmso] | \ *.ada | *.adb | *.ads | *.asm | \ *.c++ | *.cc | *.ii | *.class | *.cpp | *.cxx | \ *.[fF][09]? | *.for | *.java | *.go | *.obj | *.sx | *.cu | *.cup) func_xform "$libobj" libobj=$func_xform_result ;; esac case $libobj in *.lo) func_lo2o "$libobj"; obj=$func_lo2o_result ;; *) func_fatal_error "cannot determine name of library object from '$libobj'" ;; esac func_infer_tag $base_compile for arg in $later; do case $arg in -shared) test yes = "$build_libtool_libs" \ || func_fatal_configuration "cannot build a shared library" build_old_libs=no continue ;; -static) build_libtool_libs=no build_old_libs=yes continue ;; -prefer-pic) pic_mode=yes continue ;; -prefer-non-pic) pic_mode=no continue ;; esac done func_quote_for_eval "$libobj" test "X$libobj" != "X$func_quote_for_eval_result" \ && $ECHO "X$libobj" | $GREP '[]~#^*{};<>?"'"'"' &()|`$[]' \ && func_warning "libobj name '$libobj' may not contain shell special characters." func_dirname_and_basename "$obj" "/" "" objname=$func_basename_result xdir=$func_dirname_result lobj=$xdir$objdir/$objname test -z "$base_compile" && \ func_fatal_help "you must specify a compilation command" # Delete any leftover library objects. if test yes = "$build_old_libs"; then removelist="$obj $lobj $libobj ${libobj}T" else removelist="$lobj $libobj ${libobj}T" fi # On Cygwin there's no "real" PIC flag so we must build both object types case $host_os in cygwin* | mingw* | pw32* | os2* | cegcc*) pic_mode=default ;; esac if test no = "$pic_mode" && test pass_all != "$deplibs_check_method"; then # non-PIC code in shared libraries is not supported pic_mode=default fi # Calculate the filename of the output object if compiler does # not support -o with -c if test no = "$compiler_c_o"; then output_obj=`$ECHO "$srcfile" | $SED 's%^.*/%%; s%\.[^.]*$%%'`.$objext lockfile=$output_obj.lock else output_obj= need_locks=no lockfile= fi # Lock this critical section if it is needed # We use this script file to make the link, it avoids creating a new file if test yes = "$need_locks"; then until $opt_dry_run || ln "$progpath" "$lockfile" 2>/dev/null; do func_echo "Waiting for $lockfile to be removed" sleep 2 done elif test warn = "$need_locks"; then if test -f "$lockfile"; then $ECHO "\ *** ERROR, $lockfile exists and contains: `cat $lockfile 2>/dev/null` This indicates that another process is trying to use the same temporary object file, and libtool could not work around it because your compiler does not support '-c' and '-o' together. If you repeat this compilation, it may succeed, by chance, but you had better avoid parallel builds (make -j) in this platform, or get a better compiler." $opt_dry_run || $RM $removelist exit $EXIT_FAILURE fi func_append removelist " $output_obj" $ECHO "$srcfile" > "$lockfile" fi $opt_dry_run || $RM $removelist func_append removelist " $lockfile" trap '$opt_dry_run || $RM $removelist; exit $EXIT_FAILURE' 1 2 15 func_to_tool_file "$srcfile" func_convert_file_msys_to_w32 srcfile=$func_to_tool_file_result func_quote_for_eval "$srcfile" qsrcfile=$func_quote_for_eval_result # Only build a PIC object if we are building libtool libraries. if test yes = "$build_libtool_libs"; then # Without this assignment, base_compile gets emptied. fbsd_hideous_sh_bug=$base_compile if test no != "$pic_mode"; then command="$base_compile $qsrcfile $pic_flag" else # Don't build PIC code command="$base_compile $qsrcfile" fi func_mkdir_p "$xdir$objdir" if test -z "$output_obj"; then # Place PIC objects in $objdir func_append command " -o $lobj" fi func_show_eval_locale "$command" \ 'test -n "$output_obj" && $RM $removelist; exit $EXIT_FAILURE' if test warn = "$need_locks" && test "X`cat $lockfile 2>/dev/null`" != "X$srcfile"; then $ECHO "\ *** ERROR, $lockfile contains: `cat $lockfile 2>/dev/null` but it should contain: $srcfile This indicates that another process is trying to use the same temporary object file, and libtool could not work around it because your compiler does not support '-c' and '-o' together. If you repeat this compilation, it may succeed, by chance, but you had better avoid parallel builds (make -j) in this platform, or get a better compiler." $opt_dry_run || $RM $removelist exit $EXIT_FAILURE fi # Just move the object if needed, then go on to compile the next one if test -n "$output_obj" && test "X$output_obj" != "X$lobj"; then func_show_eval '$MV "$output_obj" "$lobj"' \ 'error=$?; $opt_dry_run || $RM $removelist; exit $error' fi # Allow error messages only from the first compilation. if test yes = "$suppress_opt"; then suppress_output=' >/dev/null 2>&1' fi fi # Only build a position-dependent object if we build old libraries. if test yes = "$build_old_libs"; then if test yes != "$pic_mode"; then # Don't build PIC code command="$base_compile $qsrcfile$pie_flag" else command="$base_compile $qsrcfile $pic_flag" fi if test yes = "$compiler_c_o"; then func_append command " -o $obj" fi # Suppress compiler output if we already did a PIC compilation. func_append command "$suppress_output" func_show_eval_locale "$command" \ '$opt_dry_run || $RM $removelist; exit $EXIT_FAILURE' if test warn = "$need_locks" && test "X`cat $lockfile 2>/dev/null`" != "X$srcfile"; then $ECHO "\ *** ERROR, $lockfile contains: `cat $lockfile 2>/dev/null` but it should contain: $srcfile This indicates that another process is trying to use the same temporary object file, and libtool could not work around it because your compiler does not support '-c' and '-o' together. If you repeat this compilation, it may succeed, by chance, but you had better avoid parallel builds (make -j) in this platform, or get a better compiler." $opt_dry_run || $RM $removelist exit $EXIT_FAILURE fi # Just move the object if needed if test -n "$output_obj" && test "X$output_obj" != "X$obj"; then func_show_eval '$MV "$output_obj" "$obj"' \ 'error=$?; $opt_dry_run || $RM $removelist; exit $error' fi fi $opt_dry_run || { func_write_libtool_object "$libobj" "$objdir/$objname" "$objname" # Unlock the critical section if it was locked if test no != "$need_locks"; then removelist=$lockfile $RM "$lockfile" fi } exit $EXIT_SUCCESS } $opt_help || { test compile = "$opt_mode" && func_mode_compile ${1+"$@"} } func_mode_help () { # We need to display help for each of the modes. case $opt_mode in "") # Generic help is extracted from the usage comments # at the start of this file. func_help ;; clean) $ECHO \ "Usage: $progname [OPTION]... --mode=clean RM [RM-OPTION]... FILE... Remove files from the build directory. RM is the name of the program to use to delete files associated with each FILE (typically '/bin/rm'). RM-OPTIONS are options (such as '-f') to be passed to RM. If FILE is a libtool library, object or program, all the files associated with it are deleted. Otherwise, only FILE itself is deleted using RM." ;; compile) $ECHO \ "Usage: $progname [OPTION]... --mode=compile COMPILE-COMMAND... SOURCEFILE Compile a source file into a libtool library object. This mode accepts the following additional options: -o OUTPUT-FILE set the output file name to OUTPUT-FILE -no-suppress do not suppress compiler output for multiple passes -prefer-pic try to build PIC objects only -prefer-non-pic try to build non-PIC objects only -shared do not build a '.o' file suitable for static linking -static only build a '.o' file suitable for static linking -Wc,FLAG pass FLAG directly to the compiler COMPILE-COMMAND is a command to be used in creating a 'standard' object file from the given SOURCEFILE. The output file name is determined by removing the directory component from SOURCEFILE, then substituting the C source code suffix '.c' with the library object suffix, '.lo'." ;; execute) $ECHO \ "Usage: $progname [OPTION]... --mode=execute COMMAND [ARGS]... Automatically set library path, then run a program. This mode accepts the following additional options: -dlopen FILE add the directory containing FILE to the library path This mode sets the library path environment variable according to '-dlopen' flags. If any of the ARGS are libtool executable wrappers, then they are translated into their corresponding uninstalled binary, and any of their required library directories are added to the library path. Then, COMMAND is executed, with ARGS as arguments." ;; finish) $ECHO \ "Usage: $progname [OPTION]... --mode=finish [LIBDIR]... Complete the installation of libtool libraries. Each LIBDIR is a directory that contains libtool libraries. The commands that this mode executes may require superuser privileges. Use the '--dry-run' option if you just want to see what would be executed." ;; install) $ECHO \ "Usage: $progname [OPTION]... --mode=install INSTALL-COMMAND... Install executables or libraries. INSTALL-COMMAND is the installation command. The first component should be either the 'install' or 'cp' program. The following components of INSTALL-COMMAND are treated specially: -inst-prefix-dir PREFIX-DIR Use PREFIX-DIR as a staging area for installation The rest of the components are interpreted as arguments to that command (only BSD-compatible install options are recognized)." ;; link) $ECHO \ "Usage: $progname [OPTION]... --mode=link LINK-COMMAND... Link object files or libraries together to form another library, or to create an executable program. LINK-COMMAND is a command using the C compiler that you would use to create a program from several object files. The following components of LINK-COMMAND are treated specially: -all-static do not do any dynamic linking at all -avoid-version do not add a version suffix if possible -bindir BINDIR specify path to binaries directory (for systems where libraries must be found in the PATH setting at runtime) -dlopen FILE '-dlpreopen' FILE if it cannot be dlopened at runtime -dlpreopen FILE link in FILE and add its symbols to lt_preloaded_symbols -export-dynamic allow symbols from OUTPUT-FILE to be resolved with dlsym(3) -export-symbols SYMFILE try to export only the symbols listed in SYMFILE -export-symbols-regex REGEX try to export only the symbols matching REGEX -LLIBDIR search LIBDIR for required installed libraries -lNAME OUTPUT-FILE requires the installed library libNAME -module build a library that can dlopened -no-fast-install disable the fast-install mode -no-install link a not-installable executable -no-undefined declare that a library does not refer to external symbols -o OUTPUT-FILE create OUTPUT-FILE from the specified objects -objectlist FILE use a list of object files found in FILE to specify objects -os2dllname NAME force a short DLL name on OS/2 (no effect on other OSes) -precious-files-regex REGEX don't remove output files matching REGEX -release RELEASE specify package release information -rpath LIBDIR the created library will eventually be installed in LIBDIR -R[ ]LIBDIR add LIBDIR to the runtime path of programs and libraries -shared only do dynamic linking of libtool libraries -shrext SUFFIX override the standard shared library file extension -static do not do any dynamic linking of uninstalled libtool libraries -static-libtool-libs do not do any dynamic linking of libtool libraries -version-info CURRENT[:REVISION[:AGE]] specify library version info [each variable defaults to 0] -weak LIBNAME declare that the target provides the LIBNAME interface -Wc,FLAG -Xcompiler FLAG pass linker-specific FLAG directly to the compiler -Wl,FLAG -Xlinker FLAG pass linker-specific FLAG directly to the linker -XCClinker FLAG pass link-specific FLAG to the compiler driver (CC) All other options (arguments beginning with '-') are ignored. Every other argument is treated as a filename. Files ending in '.la' are treated as uninstalled libtool libraries, other files are standard or library object files. If the OUTPUT-FILE ends in '.la', then a libtool library is created, only library objects ('.lo' files) may be specified, and '-rpath' is required, except when creating a convenience library. If OUTPUT-FILE ends in '.a' or '.lib', then a standard library is created using 'ar' and 'ranlib', or on Windows using 'lib'. If OUTPUT-FILE ends in '.lo' or '.$objext', then a reloadable object file is created, otherwise an executable program is created." ;; uninstall) $ECHO \ "Usage: $progname [OPTION]... --mode=uninstall RM [RM-OPTION]... FILE... Remove libraries from an installation directory. RM is the name of the program to use to delete files associated with each FILE (typically '/bin/rm'). RM-OPTIONS are options (such as '-f') to be passed to RM. If FILE is a libtool library, all the files associated with it are deleted. Otherwise, only FILE itself is deleted using RM." ;; *) func_fatal_help "invalid operation mode '$opt_mode'" ;; esac echo $ECHO "Try '$progname --help' for more information about other modes." } # Now that we've collected a possible --mode arg, show help if necessary if $opt_help; then if test : = "$opt_help"; then func_mode_help else { func_help noexit for opt_mode in compile link execute install finish uninstall clean; do func_mode_help done } | $SED -n '1p; 2,$s/^Usage:/ or: /p' { func_help noexit for opt_mode in compile link execute install finish uninstall clean; do echo func_mode_help done } | $SED '1d /^When reporting/,/^Report/{ H d } $x /information about other modes/d /more detailed .*MODE/d s/^Usage:.*--mode=\([^ ]*\) .*/Description of \1 mode:/' fi exit $? fi # func_mode_execute arg... func_mode_execute () { $debug_cmd # The first argument is the command name. cmd=$nonopt test -z "$cmd" && \ func_fatal_help "you must specify a COMMAND" # Handle -dlopen flags immediately. for file in $opt_dlopen; do test -f "$file" \ || func_fatal_help "'$file' is not a file" dir= case $file in *.la) func_resolve_sysroot "$file" file=$func_resolve_sysroot_result # Check to see that this really is a libtool archive. func_lalib_unsafe_p "$file" \ || func_fatal_help "'$lib' is not a valid libtool archive" # Read the libtool library. dlname= library_names= func_source "$file" # Skip this library if it cannot be dlopened. if test -z "$dlname"; then # Warn if it was a shared library. test -n "$library_names" && \ func_warning "'$file' was not linked with '-export-dynamic'" continue fi func_dirname "$file" "" "." dir=$func_dirname_result if test -f "$dir/$objdir/$dlname"; then func_append dir "/$objdir" else if test ! -f "$dir/$dlname"; then func_fatal_error "cannot find '$dlname' in '$dir' or '$dir/$objdir'" fi fi ;; *.lo) # Just add the directory containing the .lo file. func_dirname "$file" "" "." dir=$func_dirname_result ;; *) func_warning "'-dlopen' is ignored for non-libtool libraries and objects" continue ;; esac # Get the absolute pathname. absdir=`cd "$dir" && pwd` test -n "$absdir" && dir=$absdir # Now add the directory to shlibpath_var. if eval "test -z \"\$$shlibpath_var\""; then eval "$shlibpath_var=\"\$dir\"" else eval "$shlibpath_var=\"\$dir:\$$shlibpath_var\"" fi done # This variable tells wrapper scripts just to set shlibpath_var # rather than running their programs. libtool_execute_magic=$magic # Check if any of the arguments is a wrapper script. args= for file do case $file in -* | *.la | *.lo ) ;; *) # Do a test to see if this is really a libtool program. if func_ltwrapper_script_p "$file"; then func_source "$file" # Transform arg to wrapped name. file=$progdir/$program elif func_ltwrapper_executable_p "$file"; then func_ltwrapper_scriptname "$file" func_source "$func_ltwrapper_scriptname_result" # Transform arg to wrapped name. file=$progdir/$program fi ;; esac # Quote arguments (to preserve shell metacharacters). func_append_quoted args "$file" done if $opt_dry_run; then # Display what would be done. if test -n "$shlibpath_var"; then eval "\$ECHO \"\$shlibpath_var=\$$shlibpath_var\"" echo "export $shlibpath_var" fi $ECHO "$cmd$args" exit $EXIT_SUCCESS else if test -n "$shlibpath_var"; then # Export the shlibpath_var. eval "export $shlibpath_var" fi # Restore saved environment variables for lt_var in LANG LANGUAGE LC_ALL LC_CTYPE LC_COLLATE LC_MESSAGES do eval "if test \"\${save_$lt_var+set}\" = set; then $lt_var=\$save_$lt_var; export $lt_var else $lt_unset $lt_var fi" done # Now prepare to actually exec the command. exec_cmd=\$cmd$args fi } test execute = "$opt_mode" && func_mode_execute ${1+"$@"} # func_mode_finish arg... func_mode_finish () { $debug_cmd libs= libdirs= admincmds= for opt in "$nonopt" ${1+"$@"} do if test -d "$opt"; then func_append libdirs " $opt" elif test -f "$opt"; then if func_lalib_unsafe_p "$opt"; then func_append libs " $opt" else func_warning "'$opt' is not a valid libtool archive" fi else func_fatal_error "invalid argument '$opt'" fi done if test -n "$libs"; then if test -n "$lt_sysroot"; then sysroot_regex=`$ECHO "$lt_sysroot" | $SED "$sed_make_literal_regex"` sysroot_cmd="s/\([ ']\)$sysroot_regex/\1/g;" else sysroot_cmd= fi # Remove sysroot references if $opt_dry_run; then for lib in $libs; do echo "removing references to $lt_sysroot and '=' prefixes from $lib" done else tmpdir=`func_mktempdir` for lib in $libs; do $SED -e "$sysroot_cmd s/\([ ']-[LR]\)=/\1/g; s/\([ ']\)=/\1/g" $lib \ > $tmpdir/tmp-la mv -f $tmpdir/tmp-la $lib done ${RM}r "$tmpdir" fi fi if test -n "$finish_cmds$finish_eval" && test -n "$libdirs"; then for libdir in $libdirs; do if test -n "$finish_cmds"; then # Do each command in the finish commands. func_execute_cmds "$finish_cmds" 'admincmds="$admincmds '"$cmd"'"' fi if test -n "$finish_eval"; then # Do the single finish_eval. eval cmds=\"$finish_eval\" $opt_dry_run || eval "$cmds" || func_append admincmds " $cmds" fi done fi # Exit here if they wanted silent mode. $opt_quiet && exit $EXIT_SUCCESS if test -n "$finish_cmds$finish_eval" && test -n "$libdirs"; then echo "----------------------------------------------------------------------" echo "Libraries have been installed in:" for libdir in $libdirs; do $ECHO " $libdir" done echo echo "If you ever happen to want to link against installed libraries" echo "in a given directory, LIBDIR, you must either use libtool, and" echo "specify the full pathname of the library, or use the '-LLIBDIR'" echo "flag during linking and do at least one of the following:" if test -n "$shlibpath_var"; then echo " - add LIBDIR to the '$shlibpath_var' environment variable" echo " during execution" fi if test -n "$runpath_var"; then echo " - add LIBDIR to the '$runpath_var' environment variable" echo " during linking" fi if test -n "$hardcode_libdir_flag_spec"; then libdir=LIBDIR eval flag=\"$hardcode_libdir_flag_spec\" $ECHO " - use the '$flag' linker flag" fi if test -n "$admincmds"; then $ECHO " - have your system administrator run these commands:$admincmds" fi if test -f /etc/ld.so.conf; then echo " - have your system administrator add LIBDIR to '/etc/ld.so.conf'" fi echo echo "See any operating system documentation about shared libraries for" case $host in solaris2.[6789]|solaris2.1[0-9]) echo "more information, such as the ld(1), crle(1) and ld.so(8) manual" echo "pages." ;; *) echo "more information, such as the ld(1) and ld.so(8) manual pages." ;; esac echo "----------------------------------------------------------------------" fi exit $EXIT_SUCCESS } test finish = "$opt_mode" && func_mode_finish ${1+"$@"} # func_mode_install arg... func_mode_install () { $debug_cmd # There may be an optional sh(1) argument at the beginning of # install_prog (especially on Windows NT). if test "$SHELL" = "$nonopt" || test /bin/sh = "$nonopt" || # Allow the use of GNU shtool's install command. case $nonopt in *shtool*) :;; *) false;; esac then # Aesthetically quote it. func_quote_for_eval "$nonopt" install_prog="$func_quote_for_eval_result " arg=$1 shift else install_prog= arg=$nonopt fi # The real first argument should be the name of the installation program. # Aesthetically quote it. func_quote_for_eval "$arg" func_append install_prog "$func_quote_for_eval_result" install_shared_prog=$install_prog case " $install_prog " in *[\\\ /]cp\ *) install_cp=: ;; *) install_cp=false ;; esac # We need to accept at least all the BSD install flags. dest= files= opts= prev= install_type= isdir=false stripme= no_mode=: for arg do arg2= if test -n "$dest"; then func_append files " $dest" dest=$arg continue fi case $arg in -d) isdir=: ;; -f) if $install_cp; then :; else prev=$arg fi ;; -g | -m | -o) prev=$arg ;; -s) stripme=" -s" continue ;; -*) ;; *) # If the previous option needed an argument, then skip it. if test -n "$prev"; then if test X-m = "X$prev" && test -n "$install_override_mode"; then arg2=$install_override_mode no_mode=false fi prev= else dest=$arg continue fi ;; esac # Aesthetically quote the argument. func_quote_for_eval "$arg" func_append install_prog " $func_quote_for_eval_result" if test -n "$arg2"; then func_quote_for_eval "$arg2" fi func_append install_shared_prog " $func_quote_for_eval_result" done test -z "$install_prog" && \ func_fatal_help "you must specify an install program" test -n "$prev" && \ func_fatal_help "the '$prev' option requires an argument" if test -n "$install_override_mode" && $no_mode; then if $install_cp; then :; else func_quote_for_eval "$install_override_mode" func_append install_shared_prog " -m $func_quote_for_eval_result" fi fi if test -z "$files"; then if test -z "$dest"; then func_fatal_help "no file or destination specified" else func_fatal_help "you must specify a destination" fi fi # Strip any trailing slash from the destination. func_stripname '' '/' "$dest" dest=$func_stripname_result # Check to see that the destination is a directory. test -d "$dest" && isdir=: if $isdir; then destdir=$dest destname= else func_dirname_and_basename "$dest" "" "." destdir=$func_dirname_result destname=$func_basename_result # Not a directory, so check to see that there is only one file specified. set dummy $files; shift test "$#" -gt 1 && \ func_fatal_help "'$dest' is not a directory" fi case $destdir in [\\/]* | [A-Za-z]:[\\/]*) ;; *) for file in $files; do case $file in *.lo) ;; *) func_fatal_help "'$destdir' must be an absolute directory name" ;; esac done ;; esac # This variable tells wrapper scripts just to set variables rather # than running their programs. libtool_install_magic=$magic staticlibs= future_libdirs= current_libdirs= for file in $files; do # Do each installation. case $file in *.$libext) # Do the static libraries later. func_append staticlibs " $file" ;; *.la) func_resolve_sysroot "$file" file=$func_resolve_sysroot_result # Check to see that this really is a libtool archive. func_lalib_unsafe_p "$file" \ || func_fatal_help "'$file' is not a valid libtool archive" library_names= old_library= relink_command= func_source "$file" # Add the libdir to current_libdirs if it is the destination. if test "X$destdir" = "X$libdir"; then case "$current_libdirs " in *" $libdir "*) ;; *) func_append current_libdirs " $libdir" ;; esac else # Note the libdir as a future libdir. case "$future_libdirs " in *" $libdir "*) ;; *) func_append future_libdirs " $libdir" ;; esac fi func_dirname "$file" "/" "" dir=$func_dirname_result func_append dir "$objdir" if test -n "$relink_command"; then # Determine the prefix the user has applied to our future dir. inst_prefix_dir=`$ECHO "$destdir" | $SED -e "s%$libdir\$%%"` # Don't allow the user to place us outside of our expected # location b/c this prevents finding dependent libraries that # are installed to the same prefix. # At present, this check doesn't affect windows .dll's that # are installed into $libdir/../bin (currently, that works fine) # but it's something to keep an eye on. test "$inst_prefix_dir" = "$destdir" && \ func_fatal_error "error: cannot install '$file' to a directory not ending in $libdir" if test -n "$inst_prefix_dir"; then # Stick the inst_prefix_dir data into the link command. relink_command=`$ECHO "$relink_command" | $SED "s%@inst_prefix_dir@%-inst-prefix-dir $inst_prefix_dir%"` else relink_command=`$ECHO "$relink_command" | $SED "s%@inst_prefix_dir@%%"` fi func_warning "relinking '$file'" func_show_eval "$relink_command" \ 'func_fatal_error "error: relink '\''$file'\'' with the above command before installing it"' fi # See the names of the shared library. set dummy $library_names; shift if test -n "$1"; then realname=$1 shift srcname=$realname test -n "$relink_command" && srcname=${realname}T # Install the shared library and build the symlinks. func_show_eval "$install_shared_prog $dir/$srcname $destdir/$realname" \ 'exit $?' tstripme=$stripme case $host_os in cygwin* | mingw* | pw32* | cegcc*) case $realname in *.dll.a) tstripme= ;; esac ;; os2*) case $realname in *_dll.a) tstripme= ;; esac ;; esac if test -n "$tstripme" && test -n "$striplib"; then func_show_eval "$striplib $destdir/$realname" 'exit $?' fi if test "$#" -gt 0; then # Delete the old symlinks, and create new ones. # Try 'ln -sf' first, because the 'ln' binary might depend on # the symlink we replace! Solaris /bin/ln does not understand -f, # so we also need to try rm && ln -s. for linkname do test "$linkname" != "$realname" \ && func_show_eval "(cd $destdir && { $LN_S -f $realname $linkname || { $RM $linkname && $LN_S $realname $linkname; }; })" done fi # Do each command in the postinstall commands. lib=$destdir/$realname func_execute_cmds "$postinstall_cmds" 'exit $?' fi # Install the pseudo-library for information purposes. func_basename "$file" name=$func_basename_result instname=$dir/${name}i func_show_eval "$install_prog $instname $destdir/$name" 'exit $?' # Maybe install the static library, too. test -n "$old_library" && func_append staticlibs " $dir/$old_library" ;; *.lo) # Install (i.e. copy) a libtool object. # Figure out destination file name, if it wasn't already specified. if test -n "$destname"; then destfile=$destdir/$destname else func_basename "$file" destfile=$func_basename_result destfile=$destdir/$destfile fi # Deduce the name of the destination old-style object file. case $destfile in *.lo) func_lo2o "$destfile" staticdest=$func_lo2o_result ;; *.$objext) staticdest=$destfile destfile= ;; *) func_fatal_help "cannot copy a libtool object to '$destfile'" ;; esac # Install the libtool object if requested. test -n "$destfile" && \ func_show_eval "$install_prog $file $destfile" 'exit $?' # Install the old object if enabled. if test yes = "$build_old_libs"; then # Deduce the name of the old-style object file. func_lo2o "$file" staticobj=$func_lo2o_result func_show_eval "$install_prog \$staticobj \$staticdest" 'exit $?' fi exit $EXIT_SUCCESS ;; *) # Figure out destination file name, if it wasn't already specified. if test -n "$destname"; then destfile=$destdir/$destname else func_basename "$file" destfile=$func_basename_result destfile=$destdir/$destfile fi # If the file is missing, and there is a .exe on the end, strip it # because it is most likely a libtool script we actually want to # install stripped_ext= case $file in *.exe) if test ! -f "$file"; then func_stripname '' '.exe' "$file" file=$func_stripname_result stripped_ext=.exe fi ;; esac # Do a test to see if this is really a libtool program. case $host in *cygwin* | *mingw*) if func_ltwrapper_executable_p "$file"; then func_ltwrapper_scriptname "$file" wrapper=$func_ltwrapper_scriptname_result else func_stripname '' '.exe' "$file" wrapper=$func_stripname_result fi ;; *) wrapper=$file ;; esac if func_ltwrapper_script_p "$wrapper"; then notinst_deplibs= relink_command= func_source "$wrapper" # Check the variables that should have been set. test -z "$generated_by_libtool_version" && \ func_fatal_error "invalid libtool wrapper script '$wrapper'" finalize=: for lib in $notinst_deplibs; do # Check to see that each library is installed. libdir= if test -f "$lib"; then func_source "$lib" fi libfile=$libdir/`$ECHO "$lib" | $SED 's%^.*/%%g'` if test -n "$libdir" && test ! -f "$libfile"; then func_warning "'$lib' has not been installed in '$libdir'" finalize=false fi done relink_command= func_source "$wrapper" outputname= if test no = "$fast_install" && test -n "$relink_command"; then $opt_dry_run || { if $finalize; then tmpdir=`func_mktempdir` func_basename "$file$stripped_ext" file=$func_basename_result outputname=$tmpdir/$file # Replace the output file specification. relink_command=`$ECHO "$relink_command" | $SED 's%@OUTPUT@%'"$outputname"'%g'` $opt_quiet || { func_quote_for_expand "$relink_command" eval "func_echo $func_quote_for_expand_result" } if eval "$relink_command"; then : else func_error "error: relink '$file' with the above command before installing it" $opt_dry_run || ${RM}r "$tmpdir" continue fi file=$outputname else func_warning "cannot relink '$file'" fi } else # Install the binary that we compiled earlier. file=`$ECHO "$file$stripped_ext" | $SED "s%\([^/]*\)$%$objdir/\1%"` fi fi # remove .exe since cygwin /usr/bin/install will append another # one anyway case $install_prog,$host in */usr/bin/install*,*cygwin*) case $file:$destfile in *.exe:*.exe) # this is ok ;; *.exe:*) destfile=$destfile.exe ;; *:*.exe) func_stripname '' '.exe' "$destfile" destfile=$func_stripname_result ;; esac ;; esac func_show_eval "$install_prog\$stripme \$file \$destfile" 'exit $?' $opt_dry_run || if test -n "$outputname"; then ${RM}r "$tmpdir" fi ;; esac done for file in $staticlibs; do func_basename "$file" name=$func_basename_result # Set up the ranlib parameters. oldlib=$destdir/$name func_to_tool_file "$oldlib" func_convert_file_msys_to_w32 tool_oldlib=$func_to_tool_file_result func_show_eval "$install_prog \$file \$oldlib" 'exit $?' if test -n "$stripme" && test -n "$old_striplib"; then func_show_eval "$old_striplib $tool_oldlib" 'exit $?' fi # Do each command in the postinstall commands. func_execute_cmds "$old_postinstall_cmds" 'exit $?' done test -n "$future_libdirs" && \ func_warning "remember to run '$progname --finish$future_libdirs'" if test -n "$current_libdirs"; then # Maybe just do a dry run. $opt_dry_run && current_libdirs=" -n$current_libdirs" exec_cmd='$SHELL "$progpath" $preserve_args --finish$current_libdirs' else exit $EXIT_SUCCESS fi } test install = "$opt_mode" && func_mode_install ${1+"$@"} # func_generate_dlsyms outputname originator pic_p # Extract symbols from dlprefiles and create ${outputname}S.o with # a dlpreopen symbol table. func_generate_dlsyms () { $debug_cmd my_outputname=$1 my_originator=$2 my_pic_p=${3-false} my_prefix=`$ECHO "$my_originator" | $SED 's%[^a-zA-Z0-9]%_%g'` my_dlsyms= if test -n "$dlfiles$dlprefiles" || test no != "$dlself"; then if test -n "$NM" && test -n "$global_symbol_pipe"; then my_dlsyms=${my_outputname}S.c else func_error "not configured to extract global symbols from dlpreopened files" fi fi if test -n "$my_dlsyms"; then case $my_dlsyms in "") ;; *.c) # Discover the nlist of each of the dlfiles. nlist=$output_objdir/$my_outputname.nm func_show_eval "$RM $nlist ${nlist}S ${nlist}T" # Parse the name list into a source file. func_verbose "creating $output_objdir/$my_dlsyms" $opt_dry_run || $ECHO > "$output_objdir/$my_dlsyms" "\ /* $my_dlsyms - symbol resolution table for '$my_outputname' dlsym emulation. */ /* Generated by $PROGRAM (GNU $PACKAGE) $VERSION */ #ifdef __cplusplus extern \"C\" { #endif #if defined __GNUC__ && (((__GNUC__ == 4) && (__GNUC_MINOR__ >= 4)) || (__GNUC__ > 4)) #pragma GCC diagnostic ignored \"-Wstrict-prototypes\" #endif /* Keep this code in sync between libtool.m4, ltmain, lt_system.h, and tests. */ #if defined _WIN32 || defined __CYGWIN__ || defined _WIN32_WCE /* DATA imports from DLLs on WIN32 can't be const, because runtime relocations are performed -- see ld's documentation on pseudo-relocs. */ # define LT_DLSYM_CONST #elif defined __osf__ /* This system does not cope well with relocations in const data. */ # define LT_DLSYM_CONST #else # define LT_DLSYM_CONST const #endif #define STREQ(s1, s2) (strcmp ((s1), (s2)) == 0) /* External symbol declarations for the compiler. */\ " if test yes = "$dlself"; then func_verbose "generating symbol list for '$output'" $opt_dry_run || echo ': @PROGRAM@ ' > "$nlist" # Add our own program objects to the symbol list. progfiles=`$ECHO "$objs$old_deplibs" | $SP2NL | $SED "$lo2o" | $NL2SP` for progfile in $progfiles; do func_to_tool_file "$progfile" func_convert_file_msys_to_w32 func_verbose "extracting global C symbols from '$func_to_tool_file_result'" $opt_dry_run || eval "$NM $func_to_tool_file_result | $global_symbol_pipe >> '$nlist'" done if test -n "$exclude_expsyms"; then $opt_dry_run || { eval '$EGREP -v " ($exclude_expsyms)$" "$nlist" > "$nlist"T' eval '$MV "$nlist"T "$nlist"' } fi if test -n "$export_symbols_regex"; then $opt_dry_run || { eval '$EGREP -e "$export_symbols_regex" "$nlist" > "$nlist"T' eval '$MV "$nlist"T "$nlist"' } fi # Prepare the list of exported symbols if test -z "$export_symbols"; then export_symbols=$output_objdir/$outputname.exp $opt_dry_run || { $RM $export_symbols eval "$SED -n -e '/^: @PROGRAM@ $/d' -e 's/^.* \(.*\)$/\1/p' "'< "$nlist" > "$export_symbols"' case $host in *cygwin* | *mingw* | *cegcc* ) eval "echo EXPORTS "'> "$output_objdir/$outputname.def"' eval 'cat "$export_symbols" >> "$output_objdir/$outputname.def"' ;; esac } else $opt_dry_run || { eval "$SED -e 's/\([].[*^$]\)/\\\\\1/g' -e 's/^/ /' -e 's/$/$/'"' < "$export_symbols" > "$output_objdir/$outputname.exp"' eval '$GREP -f "$output_objdir/$outputname.exp" < "$nlist" > "$nlist"T' eval '$MV "$nlist"T "$nlist"' case $host in *cygwin* | *mingw* | *cegcc* ) eval "echo EXPORTS "'> "$output_objdir/$outputname.def"' eval 'cat "$nlist" >> "$output_objdir/$outputname.def"' ;; esac } fi fi for dlprefile in $dlprefiles; do func_verbose "extracting global C symbols from '$dlprefile'" func_basename "$dlprefile" name=$func_basename_result case $host in *cygwin* | *mingw* | *cegcc* ) # if an import library, we need to obtain dlname if func_win32_import_lib_p "$dlprefile"; then func_tr_sh "$dlprefile" eval "curr_lafile=\$libfile_$func_tr_sh_result" dlprefile_dlbasename= if test -n "$curr_lafile" && func_lalib_p "$curr_lafile"; then # Use subshell, to avoid clobbering current variable values dlprefile_dlname=`source "$curr_lafile" && echo "$dlname"` if test -n "$dlprefile_dlname"; then func_basename "$dlprefile_dlname" dlprefile_dlbasename=$func_basename_result else # no lafile. user explicitly requested -dlpreopen . $sharedlib_from_linklib_cmd "$dlprefile" dlprefile_dlbasename=$sharedlib_from_linklib_result fi fi $opt_dry_run || { if test -n "$dlprefile_dlbasename"; then eval '$ECHO ": $dlprefile_dlbasename" >> "$nlist"' else func_warning "Could not compute DLL name from $name" eval '$ECHO ": $name " >> "$nlist"' fi func_to_tool_file "$dlprefile" func_convert_file_msys_to_w32 eval "$NM \"$func_to_tool_file_result\" 2>/dev/null | $global_symbol_pipe | $SED -e '/I __imp/d' -e 's/I __nm_/D /;s/_nm__//' >> '$nlist'" } else # not an import lib $opt_dry_run || { eval '$ECHO ": $name " >> "$nlist"' func_to_tool_file "$dlprefile" func_convert_file_msys_to_w32 eval "$NM \"$func_to_tool_file_result\" 2>/dev/null | $global_symbol_pipe >> '$nlist'" } fi ;; *) $opt_dry_run || { eval '$ECHO ": $name " >> "$nlist"' func_to_tool_file "$dlprefile" func_convert_file_msys_to_w32 eval "$NM \"$func_to_tool_file_result\" 2>/dev/null | $global_symbol_pipe >> '$nlist'" } ;; esac done $opt_dry_run || { # Make sure we have at least an empty file. test -f "$nlist" || : > "$nlist" if test -n "$exclude_expsyms"; then $EGREP -v " ($exclude_expsyms)$" "$nlist" > "$nlist"T $MV "$nlist"T "$nlist" fi # Try sorting and uniquifying the output. if $GREP -v "^: " < "$nlist" | if sort -k 3 /dev/null 2>&1; then sort -k 3 else sort +2 fi | uniq > "$nlist"S; then : else $GREP -v "^: " < "$nlist" > "$nlist"S fi if test -f "$nlist"S; then eval "$global_symbol_to_cdecl"' < "$nlist"S >> "$output_objdir/$my_dlsyms"' else echo '/* NONE */' >> "$output_objdir/$my_dlsyms" fi func_show_eval '$RM "${nlist}I"' if test -n "$global_symbol_to_import"; then eval "$global_symbol_to_import"' < "$nlist"S > "$nlist"I' fi echo >> "$output_objdir/$my_dlsyms" "\ /* The mapping between symbol names and symbols. */ typedef struct { const char *name; void *address; } lt_dlsymlist; extern LT_DLSYM_CONST lt_dlsymlist lt_${my_prefix}_LTX_preloaded_symbols[];\ " if test -s "$nlist"I; then echo >> "$output_objdir/$my_dlsyms" "\ static void lt_syminit(void) { LT_DLSYM_CONST lt_dlsymlist *symbol = lt_${my_prefix}_LTX_preloaded_symbols; for (; symbol->name; ++symbol) {" $SED 's/.*/ if (STREQ (symbol->name, \"&\")) symbol->address = (void *) \&&;/' < "$nlist"I >> "$output_objdir/$my_dlsyms" echo >> "$output_objdir/$my_dlsyms" "\ } }" fi echo >> "$output_objdir/$my_dlsyms" "\ LT_DLSYM_CONST lt_dlsymlist lt_${my_prefix}_LTX_preloaded_symbols[] = { {\"$my_originator\", (void *) 0}," if test -s "$nlist"I; then echo >> "$output_objdir/$my_dlsyms" "\ {\"@INIT@\", (void *) <_syminit}," fi case $need_lib_prefix in no) eval "$global_symbol_to_c_name_address" < "$nlist" >> "$output_objdir/$my_dlsyms" ;; *) eval "$global_symbol_to_c_name_address_lib_prefix" < "$nlist" >> "$output_objdir/$my_dlsyms" ;; esac echo >> "$output_objdir/$my_dlsyms" "\ {0, (void *) 0} }; /* This works around a problem in FreeBSD linker */ #ifdef FREEBSD_WORKAROUND static const void *lt_preloaded_setup() { return lt_${my_prefix}_LTX_preloaded_symbols; } #endif #ifdef __cplusplus } #endif\ " } # !$opt_dry_run pic_flag_for_symtable= case "$compile_command " in *" -static "*) ;; *) case $host in # compiling the symbol table file with pic_flag works around # a FreeBSD bug that causes programs to crash when -lm is # linked before any other PIC object. But we must not use # pic_flag when linking with -static. The problem exists in # FreeBSD 2.2.6 and is fixed in FreeBSD 3.1. *-*-freebsd2.*|*-*-freebsd3.0*|*-*-freebsdelf3.0*) pic_flag_for_symtable=" $pic_flag -DFREEBSD_WORKAROUND" ;; *-*-hpux*) pic_flag_for_symtable=" $pic_flag" ;; *) $my_pic_p && pic_flag_for_symtable=" $pic_flag" ;; esac ;; esac symtab_cflags= for arg in $LTCFLAGS; do case $arg in -pie | -fpie | -fPIE) ;; *) func_append symtab_cflags " $arg" ;; esac done # Now compile the dynamic symbol file. func_show_eval '(cd $output_objdir && $LTCC$symtab_cflags -c$no_builtin_flag$pic_flag_for_symtable "$my_dlsyms")' 'exit $?' # Clean up the generated files. func_show_eval '$RM "$output_objdir/$my_dlsyms" "$nlist" "${nlist}S" "${nlist}T" "${nlist}I"' # Transform the symbol file into the correct name. symfileobj=$output_objdir/${my_outputname}S.$objext case $host in *cygwin* | *mingw* | *cegcc* ) if test -f "$output_objdir/$my_outputname.def"; then compile_command=`$ECHO "$compile_command" | $SED "s%@SYMFILE@%$output_objdir/$my_outputname.def $symfileobj%"` finalize_command=`$ECHO "$finalize_command" | $SED "s%@SYMFILE@%$output_objdir/$my_outputname.def $symfileobj%"` else compile_command=`$ECHO "$compile_command" | $SED "s%@SYMFILE@%$symfileobj%"` finalize_command=`$ECHO "$finalize_command" | $SED "s%@SYMFILE@%$symfileobj%"` fi ;; *) compile_command=`$ECHO "$compile_command" | $SED "s%@SYMFILE@%$symfileobj%"` finalize_command=`$ECHO "$finalize_command" | $SED "s%@SYMFILE@%$symfileobj%"` ;; esac ;; *) func_fatal_error "unknown suffix for '$my_dlsyms'" ;; esac else # We keep going just in case the user didn't refer to # lt_preloaded_symbols. The linker will fail if global_symbol_pipe # really was required. # Nullify the symbol file. compile_command=`$ECHO "$compile_command" | $SED "s% @SYMFILE@%%"` finalize_command=`$ECHO "$finalize_command" | $SED "s% @SYMFILE@%%"` fi } # func_cygming_gnu_implib_p ARG # This predicate returns with zero status (TRUE) if # ARG is a GNU/binutils-style import library. Returns # with nonzero status (FALSE) otherwise. func_cygming_gnu_implib_p () { $debug_cmd func_to_tool_file "$1" func_convert_file_msys_to_w32 func_cygming_gnu_implib_tmp=`$NM "$func_to_tool_file_result" | eval "$global_symbol_pipe" | $EGREP ' (_head_[A-Za-z0-9_]+_[ad]l*|[A-Za-z0-9_]+_[ad]l*_iname)$'` test -n "$func_cygming_gnu_implib_tmp" } # func_cygming_ms_implib_p ARG # This predicate returns with zero status (TRUE) if # ARG is an MS-style import library. Returns # with nonzero status (FALSE) otherwise. func_cygming_ms_implib_p () { $debug_cmd func_to_tool_file "$1" func_convert_file_msys_to_w32 func_cygming_ms_implib_tmp=`$NM "$func_to_tool_file_result" | eval "$global_symbol_pipe" | $GREP '_NULL_IMPORT_DESCRIPTOR'` test -n "$func_cygming_ms_implib_tmp" } # func_win32_libid arg # return the library type of file 'arg' # # Need a lot of goo to handle *both* DLLs and import libs # Has to be a shell function in order to 'eat' the argument # that is supplied when $file_magic_command is called. # Despite the name, also deal with 64 bit binaries. func_win32_libid () { $debug_cmd win32_libid_type=unknown win32_fileres=`file -L $1 2>/dev/null` case $win32_fileres in *ar\ archive\ import\ library*) # definitely import win32_libid_type="x86 archive import" ;; *ar\ archive*) # could be an import, or static # Keep the egrep pattern in sync with the one in _LT_CHECK_MAGIC_METHOD. if eval $OBJDUMP -f $1 | $SED -e '10q' 2>/dev/null | $EGREP 'file format (pei*-i386(.*architecture: i386)?|pe-arm-wince|pe-x86-64)' >/dev/null; then case $nm_interface in "MS dumpbin") if func_cygming_ms_implib_p "$1" || func_cygming_gnu_implib_p "$1" then win32_nmres=import else win32_nmres= fi ;; *) func_to_tool_file "$1" func_convert_file_msys_to_w32 win32_nmres=`eval $NM -f posix -A \"$func_to_tool_file_result\" | $SED -n -e ' 1,100{ / I /{ s|.*|import| p q } }'` ;; esac case $win32_nmres in import*) win32_libid_type="x86 archive import";; *) win32_libid_type="x86 archive static";; esac fi ;; *DLL*) win32_libid_type="x86 DLL" ;; *executable*) # but shell scripts are "executable" too... case $win32_fileres in *MS\ Windows\ PE\ Intel*) win32_libid_type="x86 DLL" ;; esac ;; esac $ECHO "$win32_libid_type" } # func_cygming_dll_for_implib ARG # # Platform-specific function to extract the # name of the DLL associated with the specified # import library ARG. # Invoked by eval'ing the libtool variable # $sharedlib_from_linklib_cmd # Result is available in the variable # $sharedlib_from_linklib_result func_cygming_dll_for_implib () { $debug_cmd sharedlib_from_linklib_result=`$DLLTOOL --identify-strict --identify "$1"` } # func_cygming_dll_for_implib_fallback_core SECTION_NAME LIBNAMEs # # The is the core of a fallback implementation of a # platform-specific function to extract the name of the # DLL associated with the specified import library LIBNAME. # # SECTION_NAME is either .idata$6 or .idata$7, depending # on the platform and compiler that created the implib. # # Echos the name of the DLL associated with the # specified import library. func_cygming_dll_for_implib_fallback_core () { $debug_cmd match_literal=`$ECHO "$1" | $SED "$sed_make_literal_regex"` $OBJDUMP -s --section "$1" "$2" 2>/dev/null | $SED '/^Contents of section '"$match_literal"':/{ # Place marker at beginning of archive member dllname section s/.*/====MARK====/ p d } # These lines can sometimes be longer than 43 characters, but # are always uninteresting /:[ ]*file format pe[i]\{,1\}-/d /^In archive [^:]*:/d # Ensure marker is printed /^====MARK====/p # Remove all lines with less than 43 characters /^.\{43\}/!d # From remaining lines, remove first 43 characters s/^.\{43\}//' | $SED -n ' # Join marker and all lines until next marker into a single line /^====MARK====/ b para H $ b para b :para x s/\n//g # Remove the marker s/^====MARK====// # Remove trailing dots and whitespace s/[\. \t]*$// # Print /./p' | # we now have a list, one entry per line, of the stringified # contents of the appropriate section of all members of the # archive that possess that section. Heuristic: eliminate # all those that have a first or second character that is # a '.' (that is, objdump's representation of an unprintable # character.) This should work for all archives with less than # 0x302f exports -- but will fail for DLLs whose name actually # begins with a literal '.' or a single character followed by # a '.'. # # Of those that remain, print the first one. $SED -e '/^\./d;/^.\./d;q' } # func_cygming_dll_for_implib_fallback ARG # Platform-specific function to extract the # name of the DLL associated with the specified # import library ARG. # # This fallback implementation is for use when $DLLTOOL # does not support the --identify-strict option. # Invoked by eval'ing the libtool variable # $sharedlib_from_linklib_cmd # Result is available in the variable # $sharedlib_from_linklib_result func_cygming_dll_for_implib_fallback () { $debug_cmd if func_cygming_gnu_implib_p "$1"; then # binutils import library sharedlib_from_linklib_result=`func_cygming_dll_for_implib_fallback_core '.idata$7' "$1"` elif func_cygming_ms_implib_p "$1"; then # ms-generated import library sharedlib_from_linklib_result=`func_cygming_dll_for_implib_fallback_core '.idata$6' "$1"` else # unknown sharedlib_from_linklib_result= fi } # func_extract_an_archive dir oldlib func_extract_an_archive () { $debug_cmd f_ex_an_ar_dir=$1; shift f_ex_an_ar_oldlib=$1 if test yes = "$lock_old_archive_extraction"; then lockfile=$f_ex_an_ar_oldlib.lock until $opt_dry_run || ln "$progpath" "$lockfile" 2>/dev/null; do func_echo "Waiting for $lockfile to be removed" sleep 2 done fi func_show_eval "(cd \$f_ex_an_ar_dir && $AR x \"\$f_ex_an_ar_oldlib\")" \ 'stat=$?; rm -f "$lockfile"; exit $stat' if test yes = "$lock_old_archive_extraction"; then $opt_dry_run || rm -f "$lockfile" fi if ($AR t "$f_ex_an_ar_oldlib" | sort | sort -uc >/dev/null 2>&1); then : else func_fatal_error "object name conflicts in archive: $f_ex_an_ar_dir/$f_ex_an_ar_oldlib" fi } # func_extract_archives gentop oldlib ... func_extract_archives () { $debug_cmd my_gentop=$1; shift my_oldlibs=${1+"$@"} my_oldobjs= my_xlib= my_xabs= my_xdir= for my_xlib in $my_oldlibs; do # Extract the objects. case $my_xlib in [\\/]* | [A-Za-z]:[\\/]*) my_xabs=$my_xlib ;; *) my_xabs=`pwd`"/$my_xlib" ;; esac func_basename "$my_xlib" my_xlib=$func_basename_result my_xlib_u=$my_xlib while :; do case " $extracted_archives " in *" $my_xlib_u "*) func_arith $extracted_serial + 1 extracted_serial=$func_arith_result my_xlib_u=lt$extracted_serial-$my_xlib ;; *) break ;; esac done extracted_archives="$extracted_archives $my_xlib_u" my_xdir=$my_gentop/$my_xlib_u func_mkdir_p "$my_xdir" case $host in *-darwin*) func_verbose "Extracting $my_xabs" # Do not bother doing anything if just a dry run $opt_dry_run || { darwin_orig_dir=`pwd` cd $my_xdir || exit $? darwin_archive=$my_xabs darwin_curdir=`pwd` func_basename "$darwin_archive" darwin_base_archive=$func_basename_result darwin_arches=`$LIPO -info "$darwin_archive" 2>/dev/null | $GREP Architectures 2>/dev/null || true` if test -n "$darwin_arches"; then darwin_arches=`$ECHO "$darwin_arches" | $SED -e 's/.*are://'` darwin_arch= func_verbose "$darwin_base_archive has multiple architectures $darwin_arches" for darwin_arch in $darwin_arches; do func_mkdir_p "unfat-$$/$darwin_base_archive-$darwin_arch" $LIPO -thin $darwin_arch -output "unfat-$$/$darwin_base_archive-$darwin_arch/$darwin_base_archive" "$darwin_archive" cd "unfat-$$/$darwin_base_archive-$darwin_arch" func_extract_an_archive "`pwd`" "$darwin_base_archive" cd "$darwin_curdir" $RM "unfat-$$/$darwin_base_archive-$darwin_arch/$darwin_base_archive" done # $darwin_arches ## Okay now we've a bunch of thin objects, gotta fatten them up :) darwin_filelist=`find unfat-$$ -type f -name \*.o -print -o -name \*.lo -print | $SED -e "$sed_basename" | sort -u` darwin_file= darwin_files= for darwin_file in $darwin_filelist; do darwin_files=`find unfat-$$ -name $darwin_file -print | sort | $NL2SP` $LIPO -create -output "$darwin_file" $darwin_files done # $darwin_filelist $RM -rf unfat-$$ cd "$darwin_orig_dir" else cd $darwin_orig_dir func_extract_an_archive "$my_xdir" "$my_xabs" fi # $darwin_arches } # !$opt_dry_run ;; *) func_extract_an_archive "$my_xdir" "$my_xabs" ;; esac my_oldobjs="$my_oldobjs "`find $my_xdir -name \*.$objext -print -o -name \*.lo -print | sort | $NL2SP` done func_extract_archives_result=$my_oldobjs } # func_emit_wrapper [arg=no] # # Emit a libtool wrapper script on stdout. # Don't directly open a file because we may want to # incorporate the script contents within a cygwin/mingw # wrapper executable. Must ONLY be called from within # func_mode_link because it depends on a number of variables # set therein. # # ARG is the value that the WRAPPER_SCRIPT_BELONGS_IN_OBJDIR # variable will take. If 'yes', then the emitted script # will assume that the directory where it is stored is # the $objdir directory. This is a cygwin/mingw-specific # behavior. func_emit_wrapper () { func_emit_wrapper_arg1=${1-no} $ECHO "\ #! $SHELL # $output - temporary wrapper script for $objdir/$outputname # Generated by $PROGRAM (GNU $PACKAGE) $VERSION # # The $output program cannot be directly executed until all the libtool # libraries that it depends on are installed. # # This wrapper script should never be moved out of the build directory. # If it is, it will not operate correctly. # Sed substitution that helps us do robust quoting. It backslashifies # metacharacters that are still active within double-quoted strings. sed_quote_subst='$sed_quote_subst' # Be Bourne compatible if test -n \"\${ZSH_VERSION+set}\" && (emulate sh) >/dev/null 2>&1; then emulate sh NULLCMD=: # Zsh 3.x and 4.x performs word splitting on \${1+\"\$@\"}, which # is contrary to our usage. Disable this feature. alias -g '\${1+\"\$@\"}'='\"\$@\"' setopt NO_GLOB_SUBST else case \`(set -o) 2>/dev/null\` in *posix*) set -o posix;; esac fi BIN_SH=xpg4; export BIN_SH # for Tru64 DUALCASE=1; export DUALCASE # for MKS sh # The HP-UX ksh and POSIX shell print the target directory to stdout # if CDPATH is set. (unset CDPATH) >/dev/null 2>&1 && unset CDPATH relink_command=\"$relink_command\" # This environment variable determines our operation mode. if test \"\$libtool_install_magic\" = \"$magic\"; then # install mode needs the following variables: generated_by_libtool_version='$macro_version' notinst_deplibs='$notinst_deplibs' else # When we are sourced in execute mode, \$file and \$ECHO are already set. if test \"\$libtool_execute_magic\" != \"$magic\"; then file=\"\$0\"" qECHO=`$ECHO "$ECHO" | $SED "$sed_quote_subst"` $ECHO "\ # A function that is used when there is no print builtin or printf. func_fallback_echo () { eval 'cat <<_LTECHO_EOF \$1 _LTECHO_EOF' } ECHO=\"$qECHO\" fi # Very basic option parsing. These options are (a) specific to # the libtool wrapper, (b) are identical between the wrapper # /script/ and the wrapper /executable/ that is used only on # windows platforms, and (c) all begin with the string "--lt-" # (application programs are unlikely to have options that match # this pattern). # # There are only two supported options: --lt-debug and # --lt-dump-script. There is, deliberately, no --lt-help. # # The first argument to this parsing function should be the # script's $0 value, followed by "$@". lt_option_debug= func_parse_lt_options () { lt_script_arg0=\$0 shift for lt_opt do case \"\$lt_opt\" in --lt-debug) lt_option_debug=1 ;; --lt-dump-script) lt_dump_D=\`\$ECHO \"X\$lt_script_arg0\" | $SED -e 's/^X//' -e 's%/[^/]*$%%'\` test \"X\$lt_dump_D\" = \"X\$lt_script_arg0\" && lt_dump_D=. lt_dump_F=\`\$ECHO \"X\$lt_script_arg0\" | $SED -e 's/^X//' -e 's%^.*/%%'\` cat \"\$lt_dump_D/\$lt_dump_F\" exit 0 ;; --lt-*) \$ECHO \"Unrecognized --lt- option: '\$lt_opt'\" 1>&2 exit 1 ;; esac done # Print the debug banner immediately: if test -n \"\$lt_option_debug\"; then echo \"$outputname:$output:\$LINENO: libtool wrapper (GNU $PACKAGE) $VERSION\" 1>&2 fi } # Used when --lt-debug. Prints its arguments to stdout # (redirection is the responsibility of the caller) func_lt_dump_args () { lt_dump_args_N=1; for lt_arg do \$ECHO \"$outputname:$output:\$LINENO: newargv[\$lt_dump_args_N]: \$lt_arg\" lt_dump_args_N=\`expr \$lt_dump_args_N + 1\` done } # Core function for launching the target application func_exec_program_core () { " case $host in # Backslashes separate directories on plain windows *-*-mingw | *-*-os2* | *-cegcc*) $ECHO "\ if test -n \"\$lt_option_debug\"; then \$ECHO \"$outputname:$output:\$LINENO: newargv[0]: \$progdir\\\\\$program\" 1>&2 func_lt_dump_args \${1+\"\$@\"} 1>&2 fi exec \"\$progdir\\\\\$program\" \${1+\"\$@\"} " ;; *) $ECHO "\ if test -n \"\$lt_option_debug\"; then \$ECHO \"$outputname:$output:\$LINENO: newargv[0]: \$progdir/\$program\" 1>&2 func_lt_dump_args \${1+\"\$@\"} 1>&2 fi exec \"\$progdir/\$program\" \${1+\"\$@\"} " ;; esac $ECHO "\ \$ECHO \"\$0: cannot exec \$program \$*\" 1>&2 exit 1 } # A function to encapsulate launching the target application # Strips options in the --lt-* namespace from \$@ and # launches target application with the remaining arguments. func_exec_program () { case \" \$* \" in *\\ --lt-*) for lt_wr_arg do case \$lt_wr_arg in --lt-*) ;; *) set x \"\$@\" \"\$lt_wr_arg\"; shift;; esac shift done ;; esac func_exec_program_core \${1+\"\$@\"} } # Parse options func_parse_lt_options \"\$0\" \${1+\"\$@\"} # Find the directory that this script lives in. thisdir=\`\$ECHO \"\$file\" | $SED 's%/[^/]*$%%'\` test \"x\$thisdir\" = \"x\$file\" && thisdir=. # Follow symbolic links until we get to the real thisdir. file=\`ls -ld \"\$file\" | $SED -n 's/.*-> //p'\` while test -n \"\$file\"; do destdir=\`\$ECHO \"\$file\" | $SED 's%/[^/]*\$%%'\` # If there was a directory component, then change thisdir. if test \"x\$destdir\" != \"x\$file\"; then case \"\$destdir\" in [\\\\/]* | [A-Za-z]:[\\\\/]*) thisdir=\"\$destdir\" ;; *) thisdir=\"\$thisdir/\$destdir\" ;; esac fi file=\`\$ECHO \"\$file\" | $SED 's%^.*/%%'\` file=\`ls -ld \"\$thisdir/\$file\" | $SED -n 's/.*-> //p'\` done # Usually 'no', except on cygwin/mingw when embedded into # the cwrapper. WRAPPER_SCRIPT_BELONGS_IN_OBJDIR=$func_emit_wrapper_arg1 if test \"\$WRAPPER_SCRIPT_BELONGS_IN_OBJDIR\" = \"yes\"; then # special case for '.' if test \"\$thisdir\" = \".\"; then thisdir=\`pwd\` fi # remove .libs from thisdir case \"\$thisdir\" in *[\\\\/]$objdir ) thisdir=\`\$ECHO \"\$thisdir\" | $SED 's%[\\\\/][^\\\\/]*$%%'\` ;; $objdir ) thisdir=. ;; esac fi # Try to get the absolute directory name. absdir=\`cd \"\$thisdir\" && pwd\` test -n \"\$absdir\" && thisdir=\"\$absdir\" " if test yes = "$fast_install"; then $ECHO "\ program=lt-'$outputname'$exeext progdir=\"\$thisdir/$objdir\" if test ! -f \"\$progdir/\$program\" || { file=\`ls -1dt \"\$progdir/\$program\" \"\$progdir/../\$program\" 2>/dev/null | $SED 1q\`; \\ test \"X\$file\" != \"X\$progdir/\$program\"; }; then file=\"\$\$-\$program\" if test ! -d \"\$progdir\"; then $MKDIR \"\$progdir\" else $RM \"\$progdir/\$file\" fi" $ECHO "\ # relink executable if necessary if test -n \"\$relink_command\"; then if relink_command_output=\`eval \$relink_command 2>&1\`; then : else \$ECHO \"\$relink_command_output\" >&2 $RM \"\$progdir/\$file\" exit 1 fi fi $MV \"\$progdir/\$file\" \"\$progdir/\$program\" 2>/dev/null || { $RM \"\$progdir/\$program\"; $MV \"\$progdir/\$file\" \"\$progdir/\$program\"; } $RM \"\$progdir/\$file\" fi" else $ECHO "\ program='$outputname' progdir=\"\$thisdir/$objdir\" " fi $ECHO "\ if test -f \"\$progdir/\$program\"; then" # fixup the dll searchpath if we need to. # # Fix the DLL searchpath if we need to. Do this before prepending # to shlibpath, because on Windows, both are PATH and uninstalled # libraries must come first. if test -n "$dllsearchpath"; then $ECHO "\ # Add the dll search path components to the executable PATH PATH=$dllsearchpath:\$PATH " fi # Export our shlibpath_var if we have one. if test yes = "$shlibpath_overrides_runpath" && test -n "$shlibpath_var" && test -n "$temp_rpath"; then $ECHO "\ # Add our own library path to $shlibpath_var $shlibpath_var=\"$temp_rpath\$$shlibpath_var\" # Some systems cannot cope with colon-terminated $shlibpath_var # The second colon is a workaround for a bug in BeOS R4 sed $shlibpath_var=\`\$ECHO \"\$$shlibpath_var\" | $SED 's/::*\$//'\` export $shlibpath_var " fi $ECHO "\ if test \"\$libtool_execute_magic\" != \"$magic\"; then # Run the actual program with our arguments. func_exec_program \${1+\"\$@\"} fi else # The program doesn't exist. \$ECHO \"\$0: error: '\$progdir/\$program' does not exist\" 1>&2 \$ECHO \"This script is just a wrapper for \$program.\" 1>&2 \$ECHO \"See the $PACKAGE documentation for more information.\" 1>&2 exit 1 fi fi\ " } # func_emit_cwrapperexe_src # emit the source code for a wrapper executable on stdout # Must ONLY be called from within func_mode_link because # it depends on a number of variable set therein. func_emit_cwrapperexe_src () { cat < #include #ifdef _MSC_VER # include # include # include #else # include # include # ifdef __CYGWIN__ # include # endif #endif #include #include #include #include #include #include #include #include #define STREQ(s1, s2) (strcmp ((s1), (s2)) == 0) /* declarations of non-ANSI functions */ #if defined __MINGW32__ # ifdef __STRICT_ANSI__ int _putenv (const char *); # endif #elif defined __CYGWIN__ # ifdef __STRICT_ANSI__ char *realpath (const char *, char *); int putenv (char *); int setenv (const char *, const char *, int); # endif /* #elif defined other_platform || defined ... */ #endif /* portability defines, excluding path handling macros */ #if defined _MSC_VER # define setmode _setmode # define stat _stat # define chmod _chmod # define getcwd _getcwd # define putenv _putenv # define S_IXUSR _S_IEXEC #elif defined __MINGW32__ # define setmode _setmode # define stat _stat # define chmod _chmod # define getcwd _getcwd # define putenv _putenv #elif defined __CYGWIN__ # define HAVE_SETENV # define FOPEN_WB "wb" /* #elif defined other platforms ... */ #endif #if defined PATH_MAX # define LT_PATHMAX PATH_MAX #elif defined MAXPATHLEN # define LT_PATHMAX MAXPATHLEN #else # define LT_PATHMAX 1024 #endif #ifndef S_IXOTH # define S_IXOTH 0 #endif #ifndef S_IXGRP # define S_IXGRP 0 #endif /* path handling portability macros */ #ifndef DIR_SEPARATOR # define DIR_SEPARATOR '/' # define PATH_SEPARATOR ':' #endif #if defined _WIN32 || defined __MSDOS__ || defined __DJGPP__ || \ defined __OS2__ # define HAVE_DOS_BASED_FILE_SYSTEM # define FOPEN_WB "wb" # ifndef DIR_SEPARATOR_2 # define DIR_SEPARATOR_2 '\\' # endif # ifndef PATH_SEPARATOR_2 # define PATH_SEPARATOR_2 ';' # endif #endif #ifndef DIR_SEPARATOR_2 # define IS_DIR_SEPARATOR(ch) ((ch) == DIR_SEPARATOR) #else /* DIR_SEPARATOR_2 */ # define IS_DIR_SEPARATOR(ch) \ (((ch) == DIR_SEPARATOR) || ((ch) == DIR_SEPARATOR_2)) #endif /* DIR_SEPARATOR_2 */ #ifndef PATH_SEPARATOR_2 # define IS_PATH_SEPARATOR(ch) ((ch) == PATH_SEPARATOR) #else /* PATH_SEPARATOR_2 */ # define IS_PATH_SEPARATOR(ch) ((ch) == PATH_SEPARATOR_2) #endif /* PATH_SEPARATOR_2 */ #ifndef FOPEN_WB # define FOPEN_WB "w" #endif #ifndef _O_BINARY # define _O_BINARY 0 #endif #define XMALLOC(type, num) ((type *) xmalloc ((num) * sizeof(type))) #define XFREE(stale) do { \ if (stale) { free (stale); stale = 0; } \ } while (0) #if defined LT_DEBUGWRAPPER static int lt_debug = 1; #else static int lt_debug = 0; #endif const char *program_name = "libtool-wrapper"; /* in case xstrdup fails */ void *xmalloc (size_t num); char *xstrdup (const char *string); const char *base_name (const char *name); char *find_executable (const char *wrapper); char *chase_symlinks (const char *pathspec); int make_executable (const char *path); int check_executable (const char *path); char *strendzap (char *str, const char *pat); void lt_debugprintf (const char *file, int line, const char *fmt, ...); void lt_fatal (const char *file, int line, const char *message, ...); static const char *nonnull (const char *s); static const char *nonempty (const char *s); void lt_setenv (const char *name, const char *value); char *lt_extend_str (const char *orig_value, const char *add, int to_end); void lt_update_exe_path (const char *name, const char *value); void lt_update_lib_path (const char *name, const char *value); char **prepare_spawn (char **argv); void lt_dump_script (FILE *f); EOF cat <= 0) && (st.st_mode & (S_IXUSR | S_IXGRP | S_IXOTH))) return 1; else return 0; } int make_executable (const char *path) { int rval = 0; struct stat st; lt_debugprintf (__FILE__, __LINE__, "(make_executable): %s\n", nonempty (path)); if ((!path) || (!*path)) return 0; if (stat (path, &st) >= 0) { rval = chmod (path, st.st_mode | S_IXOTH | S_IXGRP | S_IXUSR); } return rval; } /* Searches for the full path of the wrapper. Returns newly allocated full path name if found, NULL otherwise Does not chase symlinks, even on platforms that support them. */ char * find_executable (const char *wrapper) { int has_slash = 0; const char *p; const char *p_next; /* static buffer for getcwd */ char tmp[LT_PATHMAX + 1]; size_t tmp_len; char *concat_name; lt_debugprintf (__FILE__, __LINE__, "(find_executable): %s\n", nonempty (wrapper)); if ((wrapper == NULL) || (*wrapper == '\0')) return NULL; /* Absolute path? */ #if defined HAVE_DOS_BASED_FILE_SYSTEM if (isalpha ((unsigned char) wrapper[0]) && wrapper[1] == ':') { concat_name = xstrdup (wrapper); if (check_executable (concat_name)) return concat_name; XFREE (concat_name); } else { #endif if (IS_DIR_SEPARATOR (wrapper[0])) { concat_name = xstrdup (wrapper); if (check_executable (concat_name)) return concat_name; XFREE (concat_name); } #if defined HAVE_DOS_BASED_FILE_SYSTEM } #endif for (p = wrapper; *p; p++) if (*p == '/') { has_slash = 1; break; } if (!has_slash) { /* no slashes; search PATH */ const char *path = getenv ("PATH"); if (path != NULL) { for (p = path; *p; p = p_next) { const char *q; size_t p_len; for (q = p; *q; q++) if (IS_PATH_SEPARATOR (*q)) break; p_len = (size_t) (q - p); p_next = (*q == '\0' ? q : q + 1); if (p_len == 0) { /* empty path: current directory */ if (getcwd (tmp, LT_PATHMAX) == NULL) lt_fatal (__FILE__, __LINE__, "getcwd failed: %s", nonnull (strerror (errno))); tmp_len = strlen (tmp); concat_name = XMALLOC (char, tmp_len + 1 + strlen (wrapper) + 1); memcpy (concat_name, tmp, tmp_len); concat_name[tmp_len] = '/'; strcpy (concat_name + tmp_len + 1, wrapper); } else { concat_name = XMALLOC (char, p_len + 1 + strlen (wrapper) + 1); memcpy (concat_name, p, p_len); concat_name[p_len] = '/'; strcpy (concat_name + p_len + 1, wrapper); } if (check_executable (concat_name)) return concat_name; XFREE (concat_name); } } /* not found in PATH; assume curdir */ } /* Relative path | not found in path: prepend cwd */ if (getcwd (tmp, LT_PATHMAX) == NULL) lt_fatal (__FILE__, __LINE__, "getcwd failed: %s", nonnull (strerror (errno))); tmp_len = strlen (tmp); concat_name = XMALLOC (char, tmp_len + 1 + strlen (wrapper) + 1); memcpy (concat_name, tmp, tmp_len); concat_name[tmp_len] = '/'; strcpy (concat_name + tmp_len + 1, wrapper); if (check_executable (concat_name)) return concat_name; XFREE (concat_name); return NULL; } char * chase_symlinks (const char *pathspec) { #ifndef S_ISLNK return xstrdup (pathspec); #else char buf[LT_PATHMAX]; struct stat s; char *tmp_pathspec = xstrdup (pathspec); char *p; int has_symlinks = 0; while (strlen (tmp_pathspec) && !has_symlinks) { lt_debugprintf (__FILE__, __LINE__, "checking path component for symlinks: %s\n", tmp_pathspec); if (lstat (tmp_pathspec, &s) == 0) { if (S_ISLNK (s.st_mode) != 0) { has_symlinks = 1; break; } /* search backwards for last DIR_SEPARATOR */ p = tmp_pathspec + strlen (tmp_pathspec) - 1; while ((p > tmp_pathspec) && (!IS_DIR_SEPARATOR (*p))) p--; if ((p == tmp_pathspec) && (!IS_DIR_SEPARATOR (*p))) { /* no more DIR_SEPARATORS left */ break; } *p = '\0'; } else { lt_fatal (__FILE__, __LINE__, "error accessing file \"%s\": %s", tmp_pathspec, nonnull (strerror (errno))); } } XFREE (tmp_pathspec); if (!has_symlinks) { return xstrdup (pathspec); } tmp_pathspec = realpath (pathspec, buf); if (tmp_pathspec == 0) { lt_fatal (__FILE__, __LINE__, "could not follow symlinks for %s", pathspec); } return xstrdup (tmp_pathspec); #endif } char * strendzap (char *str, const char *pat) { size_t len, patlen; assert (str != NULL); assert (pat != NULL); len = strlen (str); patlen = strlen (pat); if (patlen <= len) { str += len - patlen; if (STREQ (str, pat)) *str = '\0'; } return str; } void lt_debugprintf (const char *file, int line, const char *fmt, ...) { va_list args; if (lt_debug) { (void) fprintf (stderr, "%s:%s:%d: ", program_name, file, line); va_start (args, fmt); (void) vfprintf (stderr, fmt, args); va_end (args); } } static void lt_error_core (int exit_status, const char *file, int line, const char *mode, const char *message, va_list ap) { fprintf (stderr, "%s:%s:%d: %s: ", program_name, file, line, mode); vfprintf (stderr, message, ap); fprintf (stderr, ".\n"); if (exit_status >= 0) exit (exit_status); } void lt_fatal (const char *file, int line, const char *message, ...) { va_list ap; va_start (ap, message); lt_error_core (EXIT_FAILURE, file, line, "FATAL", message, ap); va_end (ap); } static const char * nonnull (const char *s) { return s ? s : "(null)"; } static const char * nonempty (const char *s) { return (s && !*s) ? "(empty)" : nonnull (s); } void lt_setenv (const char *name, const char *value) { lt_debugprintf (__FILE__, __LINE__, "(lt_setenv) setting '%s' to '%s'\n", nonnull (name), nonnull (value)); { #ifdef HAVE_SETENV /* always make a copy, for consistency with !HAVE_SETENV */ char *str = xstrdup (value); setenv (name, str, 1); #else size_t len = strlen (name) + 1 + strlen (value) + 1; char *str = XMALLOC (char, len); sprintf (str, "%s=%s", name, value); if (putenv (str) != EXIT_SUCCESS) { XFREE (str); } #endif } } char * lt_extend_str (const char *orig_value, const char *add, int to_end) { char *new_value; if (orig_value && *orig_value) { size_t orig_value_len = strlen (orig_value); size_t add_len = strlen (add); new_value = XMALLOC (char, add_len + orig_value_len + 1); if (to_end) { strcpy (new_value, orig_value); strcpy (new_value + orig_value_len, add); } else { strcpy (new_value, add); strcpy (new_value + add_len, orig_value); } } else { new_value = xstrdup (add); } return new_value; } void lt_update_exe_path (const char *name, const char *value) { lt_debugprintf (__FILE__, __LINE__, "(lt_update_exe_path) modifying '%s' by prepending '%s'\n", nonnull (name), nonnull (value)); if (name && *name && value && *value) { char *new_value = lt_extend_str (getenv (name), value, 0); /* some systems can't cope with a ':'-terminated path #' */ size_t len = strlen (new_value); while ((len > 0) && IS_PATH_SEPARATOR (new_value[len-1])) { new_value[--len] = '\0'; } lt_setenv (name, new_value); XFREE (new_value); } } void lt_update_lib_path (const char *name, const char *value) { lt_debugprintf (__FILE__, __LINE__, "(lt_update_lib_path) modifying '%s' by prepending '%s'\n", nonnull (name), nonnull (value)); if (name && *name && value && *value) { char *new_value = lt_extend_str (getenv (name), value, 0); lt_setenv (name, new_value); XFREE (new_value); } } EOF case $host_os in mingw*) cat <<"EOF" /* Prepares an argument vector before calling spawn(). Note that spawn() does not by itself call the command interpreter (getenv ("COMSPEC") != NULL ? getenv ("COMSPEC") : ({ OSVERSIONINFO v; v.dwOSVersionInfoSize = sizeof(OSVERSIONINFO); GetVersionEx(&v); v.dwPlatformId == VER_PLATFORM_WIN32_NT; }) ? "cmd.exe" : "command.com"). Instead it simply concatenates the arguments, separated by ' ', and calls CreateProcess(). We must quote the arguments since Win32 CreateProcess() interprets characters like ' ', '\t', '\\', '"' (but not '<' and '>') in a special way: - Space and tab are interpreted as delimiters. They are not treated as delimiters if they are surrounded by double quotes: "...". - Unescaped double quotes are removed from the input. Their only effect is that within double quotes, space and tab are treated like normal characters. - Backslashes not followed by double quotes are not special. - But 2*n+1 backslashes followed by a double quote become n backslashes followed by a double quote (n >= 0): \" -> " \\\" -> \" \\\\\" -> \\" */ #define SHELL_SPECIAL_CHARS "\"\\ \001\002\003\004\005\006\007\010\011\012\013\014\015\016\017\020\021\022\023\024\025\026\027\030\031\032\033\034\035\036\037" #define SHELL_SPACE_CHARS " \001\002\003\004\005\006\007\010\011\012\013\014\015\016\017\020\021\022\023\024\025\026\027\030\031\032\033\034\035\036\037" char ** prepare_spawn (char **argv) { size_t argc; char **new_argv; size_t i; /* Count number of arguments. */ for (argc = 0; argv[argc] != NULL; argc++) ; /* Allocate new argument vector. */ new_argv = XMALLOC (char *, argc + 1); /* Put quoted arguments into the new argument vector. */ for (i = 0; i < argc; i++) { const char *string = argv[i]; if (string[0] == '\0') new_argv[i] = xstrdup ("\"\""); else if (strpbrk (string, SHELL_SPECIAL_CHARS) != NULL) { int quote_around = (strpbrk (string, SHELL_SPACE_CHARS) != NULL); size_t length; unsigned int backslashes; const char *s; char *quoted_string; char *p; length = 0; backslashes = 0; if (quote_around) length++; for (s = string; *s != '\0'; s++) { char c = *s; if (c == '"') length += backslashes + 1; length++; if (c == '\\') backslashes++; else backslashes = 0; } if (quote_around) length += backslashes + 1; quoted_string = XMALLOC (char, length + 1); p = quoted_string; backslashes = 0; if (quote_around) *p++ = '"'; for (s = string; *s != '\0'; s++) { char c = *s; if (c == '"') { unsigned int j; for (j = backslashes + 1; j > 0; j--) *p++ = '\\'; } *p++ = c; if (c == '\\') backslashes++; else backslashes = 0; } if (quote_around) { unsigned int j; for (j = backslashes; j > 0; j--) *p++ = '\\'; *p++ = '"'; } *p = '\0'; new_argv[i] = quoted_string; } else new_argv[i] = (char *) string; } new_argv[argc] = NULL; return new_argv; } EOF ;; esac cat <<"EOF" void lt_dump_script (FILE* f) { EOF func_emit_wrapper yes | $SED -n -e ' s/^\(.\{79\}\)\(..*\)/\1\ \2/ h s/\([\\"]\)/\\\1/g s/$/\\n/ s/\([^\n]*\).*/ fputs ("\1", f);/p g D' cat <<"EOF" } EOF } # end: func_emit_cwrapperexe_src # func_win32_import_lib_p ARG # True if ARG is an import lib, as indicated by $file_magic_cmd func_win32_import_lib_p () { $debug_cmd case `eval $file_magic_cmd \"\$1\" 2>/dev/null | $SED -e 10q` in *import*) : ;; *) false ;; esac } # func_suncc_cstd_abi # !!ONLY CALL THIS FOR SUN CC AFTER $compile_command IS FULLY EXPANDED!! # Several compiler flags select an ABI that is incompatible with the # Cstd library. Avoid specifying it if any are in CXXFLAGS. func_suncc_cstd_abi () { $debug_cmd case " $compile_command " in *" -compat=g "*|*\ -std=c++[0-9][0-9]\ *|*" -library=stdcxx4 "*|*" -library=stlport4 "*) suncc_use_cstd_abi=no ;; *) suncc_use_cstd_abi=yes ;; esac } # func_mode_link arg... func_mode_link () { $debug_cmd case $host in *-*-cygwin* | *-*-mingw* | *-*-pw32* | *-*-os2* | *-cegcc*) # It is impossible to link a dll without this setting, and # we shouldn't force the makefile maintainer to figure out # what system we are compiling for in order to pass an extra # flag for every libtool invocation. # allow_undefined=no # FIXME: Unfortunately, there are problems with the above when trying # to make a dll that has undefined symbols, in which case not # even a static library is built. For now, we need to specify # -no-undefined on the libtool link line when we can be certain # that all symbols are satisfied, otherwise we get a static library. allow_undefined=yes ;; *) allow_undefined=yes ;; esac libtool_args=$nonopt base_compile="$nonopt $@" compile_command=$nonopt finalize_command=$nonopt compile_rpath= finalize_rpath= compile_shlibpath= finalize_shlibpath= convenience= old_convenience= deplibs= old_deplibs= compiler_flags= linker_flags= dllsearchpath= lib_search_path=`pwd` inst_prefix_dir= new_inherited_linker_flags= avoid_version=no bindir= dlfiles= dlprefiles= dlself=no export_dynamic=no export_symbols= export_symbols_regex= generated= libobjs= ltlibs= module=no no_install=no objs= os2dllname= non_pic_objects= precious_files_regex= prefer_static_libs=no preload=false prev= prevarg= release= rpath= xrpath= perm_rpath= temp_rpath= thread_safe=no vinfo= vinfo_number=no weak_libs= single_module=$wl-single_module func_infer_tag $base_compile # We need to know -static, to get the right output filenames. for arg do case $arg in -shared) test yes != "$build_libtool_libs" \ && func_fatal_configuration "cannot build a shared library" build_old_libs=no break ;; -all-static | -static | -static-libtool-libs) case $arg in -all-static) if test yes = "$build_libtool_libs" && test -z "$link_static_flag"; then func_warning "complete static linking is impossible in this configuration" fi if test -n "$link_static_flag"; then dlopen_self=$dlopen_self_static fi prefer_static_libs=yes ;; -static) if test -z "$pic_flag" && test -n "$link_static_flag"; then dlopen_self=$dlopen_self_static fi prefer_static_libs=built ;; -static-libtool-libs) if test -z "$pic_flag" && test -n "$link_static_flag"; then dlopen_self=$dlopen_self_static fi prefer_static_libs=yes ;; esac build_libtool_libs=no build_old_libs=yes break ;; esac done # See if our shared archives depend on static archives. test -n "$old_archive_from_new_cmds" && build_old_libs=yes # Go through the arguments, transforming them on the way. while test "$#" -gt 0; do arg=$1 shift func_quote_for_eval "$arg" qarg=$func_quote_for_eval_unquoted_result func_append libtool_args " $func_quote_for_eval_result" # If the previous option needs an argument, assign it. if test -n "$prev"; then case $prev in output) func_append compile_command " @OUTPUT@" func_append finalize_command " @OUTPUT@" ;; esac case $prev in bindir) bindir=$arg prev= continue ;; dlfiles|dlprefiles) $preload || { # Add the symbol object into the linking commands. func_append compile_command " @SYMFILE@" func_append finalize_command " @SYMFILE@" preload=: } case $arg in *.la | *.lo) ;; # We handle these cases below. force) if test no = "$dlself"; then dlself=needless export_dynamic=yes fi prev= continue ;; self) if test dlprefiles = "$prev"; then dlself=yes elif test dlfiles = "$prev" && test yes != "$dlopen_self"; then dlself=yes else dlself=needless export_dynamic=yes fi prev= continue ;; *) if test dlfiles = "$prev"; then func_append dlfiles " $arg" else func_append dlprefiles " $arg" fi prev= continue ;; esac ;; expsyms) export_symbols=$arg test -f "$arg" \ || func_fatal_error "symbol file '$arg' does not exist" prev= continue ;; expsyms_regex) export_symbols_regex=$arg prev= continue ;; framework) case $host in *-*-darwin*) case "$deplibs " in *" $qarg.ltframework "*) ;; *) func_append deplibs " $qarg.ltframework" # this is fixed later ;; esac ;; esac prev= continue ;; inst_prefix) inst_prefix_dir=$arg prev= continue ;; mllvm) # Clang does not use LLVM to link, so we can simply discard any # '-mllvm $arg' options when doing the link step. prev= continue ;; objectlist) if test -f "$arg"; then save_arg=$arg moreargs= for fil in `cat "$save_arg"` do # func_append moreargs " $fil" arg=$fil # A libtool-controlled object. # Check to see that this really is a libtool object. if func_lalib_unsafe_p "$arg"; then pic_object= non_pic_object= # Read the .lo file func_source "$arg" if test -z "$pic_object" || test -z "$non_pic_object" || test none = "$pic_object" && test none = "$non_pic_object"; then func_fatal_error "cannot find name of object for '$arg'" fi # Extract subdirectory from the argument. func_dirname "$arg" "/" "" xdir=$func_dirname_result if test none != "$pic_object"; then # Prepend the subdirectory the object is found in. pic_object=$xdir$pic_object if test dlfiles = "$prev"; then if test yes = "$build_libtool_libs" && test yes = "$dlopen_support"; then func_append dlfiles " $pic_object" prev= continue else # If libtool objects are unsupported, then we need to preload. prev=dlprefiles fi fi # CHECK ME: I think I busted this. -Ossama if test dlprefiles = "$prev"; then # Preload the old-style object. func_append dlprefiles " $pic_object" prev= fi # A PIC object. func_append libobjs " $pic_object" arg=$pic_object fi # Non-PIC object. if test none != "$non_pic_object"; then # Prepend the subdirectory the object is found in. non_pic_object=$xdir$non_pic_object # A standard non-PIC object func_append non_pic_objects " $non_pic_object" if test -z "$pic_object" || test none = "$pic_object"; then arg=$non_pic_object fi else # If the PIC object exists, use it instead. # $xdir was prepended to $pic_object above. non_pic_object=$pic_object func_append non_pic_objects " $non_pic_object" fi else # Only an error if not doing a dry-run. if $opt_dry_run; then # Extract subdirectory from the argument. func_dirname "$arg" "/" "" xdir=$func_dirname_result func_lo2o "$arg" pic_object=$xdir$objdir/$func_lo2o_result non_pic_object=$xdir$func_lo2o_result func_append libobjs " $pic_object" func_append non_pic_objects " $non_pic_object" else func_fatal_error "'$arg' is not a valid libtool object" fi fi done else func_fatal_error "link input file '$arg' does not exist" fi arg=$save_arg prev= continue ;; os2dllname) os2dllname=$arg prev= continue ;; precious_regex) precious_files_regex=$arg prev= continue ;; release) release=-$arg prev= continue ;; rpath | xrpath) # We need an absolute path. case $arg in [\\/]* | [A-Za-z]:[\\/]*) ;; *) func_fatal_error "only absolute run-paths are allowed" ;; esac if test rpath = "$prev"; then case "$rpath " in *" $arg "*) ;; *) func_append rpath " $arg" ;; esac else case "$xrpath " in *" $arg "*) ;; *) func_append xrpath " $arg" ;; esac fi prev= continue ;; shrext) shrext_cmds=$arg prev= continue ;; weak) func_append weak_libs " $arg" prev= continue ;; xcclinker) func_append linker_flags " $qarg" func_append compiler_flags " $qarg" prev= func_append compile_command " $qarg" func_append finalize_command " $qarg" continue ;; xcompiler) func_append compiler_flags " $qarg" prev= func_append compile_command " $qarg" func_append finalize_command " $qarg" continue ;; xlinker) func_append linker_flags " $qarg" func_append compiler_flags " $wl$qarg" prev= func_append compile_command " $wl$qarg" func_append finalize_command " $wl$qarg" continue ;; *) eval "$prev=\"\$arg\"" prev= continue ;; esac fi # test -n "$prev" prevarg=$arg case $arg in -all-static) if test -n "$link_static_flag"; then # See comment for -static flag below, for more details. func_append compile_command " $link_static_flag" func_append finalize_command " $link_static_flag" fi continue ;; -allow-undefined) # FIXME: remove this flag sometime in the future. func_fatal_error "'-allow-undefined' must not be used because it is the default" ;; -avoid-version) avoid_version=yes continue ;; -bindir) prev=bindir continue ;; -dlopen) prev=dlfiles continue ;; -dlpreopen) prev=dlprefiles continue ;; -export-dynamic) export_dynamic=yes continue ;; -export-symbols | -export-symbols-regex) if test -n "$export_symbols" || test -n "$export_symbols_regex"; then func_fatal_error "more than one -exported-symbols argument is not allowed" fi if test X-export-symbols = "X$arg"; then prev=expsyms else prev=expsyms_regex fi continue ;; -framework) prev=framework continue ;; -inst-prefix-dir) prev=inst_prefix continue ;; # The native IRIX linker understands -LANG:*, -LIST:* and -LNO:* # so, if we see these flags be careful not to treat them like -L -L[A-Z][A-Z]*:*) case $with_gcc/$host in no/*-*-irix* | /*-*-irix*) func_append compile_command " $arg" func_append finalize_command " $arg" ;; esac continue ;; -L*) func_stripname "-L" '' "$arg" if test -z "$func_stripname_result"; then if test "$#" -gt 0; then func_fatal_error "require no space between '-L' and '$1'" else func_fatal_error "need path for '-L' option" fi fi func_resolve_sysroot "$func_stripname_result" dir=$func_resolve_sysroot_result # We need an absolute path. case $dir in [\\/]* | [A-Za-z]:[\\/]*) ;; *) absdir=`cd "$dir" && pwd` test -z "$absdir" && \ func_fatal_error "cannot determine absolute directory name of '$dir'" dir=$absdir ;; esac case "$deplibs " in *" -L$dir "* | *" $arg "*) # Will only happen for absolute or sysroot arguments ;; *) # Preserve sysroot, but never include relative directories case $dir in [\\/]* | [A-Za-z]:[\\/]* | =*) func_append deplibs " $arg" ;; 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*-*-sco3.2v5* | *-*-sco5v6*) # Causes problems with __ctype test X-lc = "X$arg" && continue ;; *-*-sysv4.2uw2* | *-*-sysv5* | *-*-unixware* | *-*-OpenUNIX*) # Compiler inserts libc in the correct place for threads to work test X-lc = "X$arg" && continue ;; esac elif test X-lc_r = "X$arg"; then case $host in *-*-openbsd* | *-*-freebsd* | *-*-dragonfly* | *-*-bitrig*) # Do not include libc_r directly, use -pthread flag. continue ;; esac fi func_append deplibs " $arg" continue ;; -mllvm) prev=mllvm continue ;; -module) module=yes continue ;; # Tru64 UNIX uses -model [arg] to determine the layout of C++ # classes, name mangling, and exception handling. # Darwin uses the -arch flag to determine output architecture. -model|-arch|-isysroot|--sysroot) func_append compiler_flags " $arg" func_append compile_command " $arg" func_append finalize_command " $arg" prev=xcompiler continue ;; -mt|-mthreads|-kthread|-Kthread|-pthread|-pthreads|--thread-safe \ |-threads|-fopenmp|-openmp|-mp|-xopenmp|-omp|-qsmp=*) func_append compiler_flags " $arg" func_append compile_command " $arg" func_append finalize_command " $arg" case "$new_inherited_linker_flags " in *" $arg "*) ;; * ) func_append new_inherited_linker_flags " $arg" ;; esac continue ;; -multi_module) single_module=$wl-multi_module continue ;; -no-fast-install) fast_install=no continue ;; -no-install) case $host in *-*-cygwin* | *-*-mingw* | *-*-pw32* | *-*-os2* | *-*-darwin* | *-cegcc*) # The PATH hackery in wrapper scripts is required on Windows # and Darwin in order for the loader to find any dlls it needs. func_warning "'-no-install' is ignored for $host" func_warning "assuming '-no-fast-install' instead" fast_install=no ;; *) no_install=yes ;; esac continue ;; -no-undefined) allow_undefined=no continue ;; -objectlist) prev=objectlist continue ;; -os2dllname) prev=os2dllname continue ;; -o) prev=output ;; -precious-files-regex) prev=precious_regex continue ;; -release) prev=release continue ;; -rpath) prev=rpath continue ;; -R) prev=xrpath continue ;; -R*) func_stripname '-R' '' "$arg" dir=$func_stripname_result # We need an absolute path. case $dir in [\\/]* | [A-Za-z]:[\\/]*) ;; =*) func_stripname '=' '' "$dir" dir=$lt_sysroot$func_stripname_result ;; *) func_fatal_error "only absolute run-paths are allowed" ;; esac case "$xrpath " in *" $dir "*) ;; *) func_append xrpath " $dir" ;; esac continue ;; -shared) # The effects of -shared are defined in a previous loop. continue ;; -shrext) prev=shrext continue ;; -static | -static-libtool-libs) # The effects of -static are defined in a previous loop. # We used to do the same as -all-static on platforms that # didn't have a PIC flag, but the assumption that the effects # would be equivalent was wrong. It would break on at least # Digital Unix and AIX. continue ;; -thread-safe) thread_safe=yes continue ;; -version-info) prev=vinfo continue ;; -version-number) prev=vinfo vinfo_number=yes continue ;; -weak) prev=weak continue ;; -Wc,*) func_stripname '-Wc,' '' "$arg" args=$func_stripname_result arg= save_ifs=$IFS; IFS=, for flag in $args; do IFS=$save_ifs func_quote_for_eval "$flag" func_append arg " $func_quote_for_eval_result" func_append compiler_flags " $func_quote_for_eval_result" done IFS=$save_ifs func_stripname ' ' '' "$arg" arg=$func_stripname_result ;; -Wl,*) func_stripname '-Wl,' '' "$arg" args=$func_stripname_result arg= save_ifs=$IFS; IFS=, for flag in $args; do IFS=$save_ifs func_quote_for_eval "$flag" func_append arg " $wl$func_quote_for_eval_result" func_append compiler_flags " $wl$func_quote_for_eval_result" func_append linker_flags " $func_quote_for_eval_result" done IFS=$save_ifs func_stripname ' ' '' "$arg" arg=$func_stripname_result ;; -Xcompiler) prev=xcompiler continue ;; -Xlinker) prev=xlinker continue ;; -XCClinker) prev=xcclinker continue ;; # -msg_* for osf cc -msg_*) func_quote_for_eval "$arg" arg=$func_quote_for_eval_result ;; # Flags to be passed through unchanged, with rationale: # -64, -mips[0-9] enable 64-bit mode for the SGI compiler # -r[0-9][0-9]* specify processor for the SGI compiler # -xarch=*, -xtarget=* enable 64-bit mode for the Sun compiler # +DA*, +DD* enable 64-bit mode for the HP compiler # -q* compiler args for the IBM compiler # -m*, -t[45]*, -txscale* architecture-specific flags for GCC # -F/path path to uninstalled frameworks, gcc on darwin # -p, -pg, --coverage, -fprofile-* profiling flags for GCC # -fstack-protector* stack protector flags for GCC # @file GCC response files # -tp=* Portland pgcc target processor selection # --sysroot=* for sysroot support # -O*, -g*, -flto*, -fwhopr*, -fuse-linker-plugin GCC link-time optimization # -stdlib=* select c++ std lib with clang -64|-mips[0-9]|-r[0-9][0-9]*|-xarch=*|-xtarget=*|+DA*|+DD*|-q*|-m*| \ -t[45]*|-txscale*|-p|-pg|--coverage|-fprofile-*|-F*|@*|-tp=*|--sysroot=*| \ -O*|-g*|-flto*|-fwhopr*|-fuse-linker-plugin|-fstack-protector*|-stdlib=*) func_quote_for_eval "$arg" arg=$func_quote_for_eval_result func_append compile_command " $arg" func_append finalize_command " $arg" func_append compiler_flags " $arg" continue ;; -Z*) if test os2 = "`expr $host : '.*\(os2\)'`"; then # OS/2 uses -Zxxx to specify OS/2-specific options compiler_flags="$compiler_flags $arg" func_append compile_command " $arg" func_append finalize_command " $arg" case $arg in -Zlinker | -Zstack) prev=xcompiler ;; esac continue else # Otherwise treat like 'Some other compiler flag' below func_quote_for_eval "$arg" arg=$func_quote_for_eval_result fi ;; # Some other compiler flag. -* | +*) func_quote_for_eval "$arg" arg=$func_quote_for_eval_result ;; *.$objext) # A standard object. func_append objs " $arg" ;; *.lo) # A libtool-controlled object. # Check to see that this really is a libtool object. if func_lalib_unsafe_p "$arg"; then pic_object= non_pic_object= # Read the .lo file func_source "$arg" if test -z "$pic_object" || test -z "$non_pic_object" || test none = "$pic_object" && test none = "$non_pic_object"; then func_fatal_error "cannot find name of object for '$arg'" fi # Extract subdirectory from the argument. func_dirname "$arg" "/" "" xdir=$func_dirname_result test none = "$pic_object" || { # Prepend the subdirectory the object is found in. pic_object=$xdir$pic_object if test dlfiles = "$prev"; then if test yes = "$build_libtool_libs" && test yes = "$dlopen_support"; then func_append dlfiles " $pic_object" prev= continue else # If libtool objects are unsupported, then we need to preload. prev=dlprefiles fi fi # CHECK ME: I think I busted this. -Ossama if test dlprefiles = "$prev"; then # Preload the old-style object. func_append dlprefiles " $pic_object" prev= fi # A PIC object. func_append libobjs " $pic_object" arg=$pic_object } # Non-PIC object. if test none != "$non_pic_object"; then # Prepend the subdirectory the object is found in. non_pic_object=$xdir$non_pic_object # A standard non-PIC object func_append non_pic_objects " $non_pic_object" if test -z "$pic_object" || test none = "$pic_object"; then arg=$non_pic_object fi else # If the PIC object exists, use it instead. # $xdir was prepended to $pic_object above. non_pic_object=$pic_object func_append non_pic_objects " $non_pic_object" fi else # Only an error if not doing a dry-run. if $opt_dry_run; then # Extract subdirectory from the argument. func_dirname "$arg" "/" "" xdir=$func_dirname_result func_lo2o "$arg" pic_object=$xdir$objdir/$func_lo2o_result non_pic_object=$xdir$func_lo2o_result func_append libobjs " $pic_object" func_append non_pic_objects " $non_pic_object" else func_fatal_error "'$arg' is not a valid libtool object" fi fi ;; *.$libext) # An archive. func_append deplibs " $arg" func_append old_deplibs " $arg" continue ;; *.la) # A libtool-controlled library. func_resolve_sysroot "$arg" if test dlfiles = "$prev"; then # This library was specified with -dlopen. func_append dlfiles " $func_resolve_sysroot_result" prev= elif test dlprefiles = "$prev"; then # The library was specified with -dlpreopen. func_append dlprefiles " $func_resolve_sysroot_result" prev= else func_append deplibs " $func_resolve_sysroot_result" fi continue ;; # Some other compiler argument. *) # Unknown arguments in both finalize_command and compile_command need # to be aesthetically quoted because they are evaled later. func_quote_for_eval "$arg" arg=$func_quote_for_eval_result ;; esac # arg # Now actually substitute the argument into the commands. if test -n "$arg"; then func_append compile_command " $arg" func_append finalize_command " $arg" fi done # argument parsing loop test -n "$prev" && \ func_fatal_help "the '$prevarg' option requires an argument" if test yes = "$export_dynamic" && test -n "$export_dynamic_flag_spec"; then eval arg=\"$export_dynamic_flag_spec\" func_append compile_command " $arg" func_append finalize_command " $arg" fi oldlibs= # calculate the name of the file, without its directory func_basename "$output" outputname=$func_basename_result libobjs_save=$libobjs if test -n "$shlibpath_var"; then # get the directories listed in $shlibpath_var eval shlib_search_path=\`\$ECHO \"\$$shlibpath_var\" \| \$SED \'s/:/ /g\'\` else shlib_search_path= fi eval sys_lib_search_path=\"$sys_lib_search_path_spec\" eval sys_lib_dlsearch_path=\"$sys_lib_dlsearch_path_spec\" # Definition is injected by LT_CONFIG during libtool generation. func_munge_path_list sys_lib_dlsearch_path "$LT_SYS_LIBRARY_PATH" func_dirname "$output" "/" "" output_objdir=$func_dirname_result$objdir func_to_tool_file "$output_objdir/" tool_output_objdir=$func_to_tool_file_result # Create the object directory. func_mkdir_p "$output_objdir" # Determine the type of output case $output in "") func_fatal_help "you must specify an output file" ;; *.$libext) linkmode=oldlib ;; *.lo | *.$objext) linkmode=obj ;; *.la) linkmode=lib ;; *) linkmode=prog ;; # Anything else should be a program. esac specialdeplibs= libs= # Find all interdependent deplibs by searching for libraries # that are linked more than once (e.g. -la -lb -la) for deplib in $deplibs; do if $opt_preserve_dup_deps; then case "$libs " in *" $deplib "*) func_append specialdeplibs " $deplib" ;; esac fi func_append libs " $deplib" done if test lib = "$linkmode"; then libs="$predeps $libs $compiler_lib_search_path $postdeps" # Compute libraries that are listed more than once in $predeps # $postdeps and mark them as special (i.e., whose duplicates are # not to be eliminated). pre_post_deps= if $opt_duplicate_compiler_generated_deps; then for pre_post_dep in $predeps $postdeps; do case "$pre_post_deps " in *" $pre_post_dep "*) func_append specialdeplibs " $pre_post_deps" ;; esac func_append pre_post_deps " $pre_post_dep" done fi pre_post_deps= fi deplibs= newdependency_libs= newlib_search_path= need_relink=no # whether we're linking any uninstalled libtool libraries notinst_deplibs= # not-installed libtool libraries notinst_path= # paths that contain not-installed libtool libraries case $linkmode in lib) passes="conv dlpreopen link" for file in $dlfiles $dlprefiles; do case $file in *.la) ;; *) func_fatal_help "libraries can '-dlopen' only libtool libraries: $file" ;; esac done ;; prog) compile_deplibs= finalize_deplibs= alldeplibs=false newdlfiles= newdlprefiles= passes="conv scan dlopen dlpreopen link" ;; *) passes="conv" ;; esac for pass in $passes; do # The preopen pass in lib mode reverses $deplibs; put it back here # so that -L comes before libs that need it for instance... if test lib,link = "$linkmode,$pass"; then ## FIXME: Find the place where the list is rebuilt in the wrong ## order, and fix it there properly tmp_deplibs= for deplib in $deplibs; do tmp_deplibs="$deplib $tmp_deplibs" done deplibs=$tmp_deplibs fi if test lib,link = "$linkmode,$pass" || test prog,scan = "$linkmode,$pass"; then libs=$deplibs deplibs= fi if test prog = "$linkmode"; then case $pass in dlopen) libs=$dlfiles ;; dlpreopen) libs=$dlprefiles ;; link) libs="$deplibs %DEPLIBS% $dependency_libs" ;; esac fi if test lib,dlpreopen = "$linkmode,$pass"; then # Collect and forward deplibs of preopened libtool libs for lib in $dlprefiles; do # Ignore non-libtool-libs dependency_libs= func_resolve_sysroot "$lib" case $lib in *.la) func_source "$func_resolve_sysroot_result" ;; esac # Collect preopened libtool deplibs, except any this library # has declared as weak libs for deplib in $dependency_libs; do func_basename "$deplib" deplib_base=$func_basename_result case " $weak_libs " in *" $deplib_base "*) ;; *) func_append deplibs " $deplib" ;; esac done done libs=$dlprefiles fi if test dlopen = "$pass"; then # Collect dlpreopened libraries save_deplibs=$deplibs deplibs= fi for deplib in $libs; do lib= found=false case $deplib in -mt|-mthreads|-kthread|-Kthread|-pthread|-pthreads|--thread-safe \ |-threads|-fopenmp|-openmp|-mp|-xopenmp|-omp|-qsmp=*) if test prog,link = "$linkmode,$pass"; then compile_deplibs="$deplib $compile_deplibs" finalize_deplibs="$deplib $finalize_deplibs" else func_append compiler_flags " $deplib" if test lib = "$linkmode"; then case "$new_inherited_linker_flags " in *" $deplib "*) ;; * ) func_append new_inherited_linker_flags " $deplib" ;; esac fi fi continue ;; -l*) if test lib != "$linkmode" && test prog != "$linkmode"; then func_warning "'-l' is ignored for archives/objects" continue fi func_stripname '-l' '' "$deplib" name=$func_stripname_result if test lib = "$linkmode"; then searchdirs="$newlib_search_path $lib_search_path $compiler_lib_search_dirs $sys_lib_search_path $shlib_search_path" else searchdirs="$newlib_search_path $lib_search_path $sys_lib_search_path $shlib_search_path" fi for searchdir in $searchdirs; do for search_ext in .la $std_shrext .so .a; do # Search the libtool library lib=$searchdir/lib$name$search_ext if test -f "$lib"; then if test .la = "$search_ext"; then found=: else found=false fi break 2 fi done done if $found; then # deplib is a libtool library # If $allow_libtool_libs_with_static_runtimes && $deplib is a stdlib, # We need to do some special things here, and not later. if test yes = "$allow_libtool_libs_with_static_runtimes"; then case " $predeps $postdeps " in *" $deplib "*) if func_lalib_p "$lib"; then library_names= old_library= func_source "$lib" for l in $old_library $library_names; do ll=$l done if test "X$ll" = "X$old_library"; then # only static version available found=false func_dirname "$lib" "" "." ladir=$func_dirname_result lib=$ladir/$old_library if test prog,link = "$linkmode,$pass"; then compile_deplibs="$deplib $compile_deplibs" finalize_deplibs="$deplib $finalize_deplibs" else deplibs="$deplib $deplibs" test lib = "$linkmode" && newdependency_libs="$deplib $newdependency_libs" fi continue fi fi ;; *) ;; esac fi else # deplib doesn't seem to be a libtool library if test prog,link = "$linkmode,$pass"; then compile_deplibs="$deplib $compile_deplibs" finalize_deplibs="$deplib $finalize_deplibs" else deplibs="$deplib $deplibs" test lib = "$linkmode" && newdependency_libs="$deplib $newdependency_libs" fi continue fi ;; # -l *.ltframework) if test prog,link = "$linkmode,$pass"; then compile_deplibs="$deplib $compile_deplibs" finalize_deplibs="$deplib $finalize_deplibs" else deplibs="$deplib $deplibs" if test lib = "$linkmode"; then case "$new_inherited_linker_flags " in *" $deplib "*) ;; * ) func_append new_inherited_linker_flags " $deplib" ;; esac fi fi continue ;; -L*) case $linkmode in lib) deplibs="$deplib $deplibs" test conv = "$pass" && continue newdependency_libs="$deplib $newdependency_libs" func_stripname '-L' '' "$deplib" func_resolve_sysroot "$func_stripname_result" func_append newlib_search_path " $func_resolve_sysroot_result" ;; prog) if test conv = "$pass"; then deplibs="$deplib $deplibs" continue fi if test scan = "$pass"; then deplibs="$deplib $deplibs" else compile_deplibs="$deplib $compile_deplibs" finalize_deplibs="$deplib $finalize_deplibs" fi func_stripname '-L' '' "$deplib" func_resolve_sysroot "$func_stripname_result" func_append newlib_search_path " $func_resolve_sysroot_result" ;; *) func_warning "'-L' is ignored for archives/objects" ;; esac # linkmode continue ;; # -L -R*) if test link = "$pass"; then func_stripname '-R' '' "$deplib" func_resolve_sysroot "$func_stripname_result" dir=$func_resolve_sysroot_result # Make sure the xrpath contains only unique directories. case "$xrpath " in *" $dir "*) ;; *) func_append xrpath " $dir" ;; esac fi deplibs="$deplib $deplibs" continue ;; *.la) func_resolve_sysroot "$deplib" lib=$func_resolve_sysroot_result ;; *.$libext) if test conv = "$pass"; then deplibs="$deplib $deplibs" continue fi case $linkmode in lib) # Linking convenience modules into shared libraries is allowed, # but linking other static libraries is non-portable. case " $dlpreconveniencelibs " in *" $deplib "*) ;; *) valid_a_lib=false case $deplibs_check_method in match_pattern*) set dummy $deplibs_check_method; shift match_pattern_regex=`expr "$deplibs_check_method" : "$1 \(.*\)"` if eval "\$ECHO \"$deplib\"" 2>/dev/null | $SED 10q \ | $EGREP "$match_pattern_regex" > /dev/null; then valid_a_lib=: fi ;; pass_all) valid_a_lib=: ;; esac if $valid_a_lib; then echo $ECHO "*** Warning: Linking the shared library $output against the" $ECHO "*** static library $deplib is not portable!" deplibs="$deplib $deplibs" else echo $ECHO "*** Warning: Trying to link with static lib archive $deplib." echo "*** I have the capability to make that library automatically link in when" echo "*** you link to this library. But I can only do this if you have a" echo "*** shared version of the library, which you do not appear to have" echo "*** because the file extensions .$libext of this argument makes me believe" echo "*** that it is just a static archive that I should not use here." fi ;; esac continue ;; prog) if test link != "$pass"; then deplibs="$deplib $deplibs" else compile_deplibs="$deplib $compile_deplibs" finalize_deplibs="$deplib $finalize_deplibs" fi continue ;; esac # linkmode ;; # *.$libext *.lo | *.$objext) if test conv = "$pass"; then deplibs="$deplib $deplibs" elif test prog = "$linkmode"; then if test dlpreopen = "$pass" || test yes != "$dlopen_support" || test no = "$build_libtool_libs"; then # If there is no dlopen support or we're linking statically, # we need to preload. func_append newdlprefiles " $deplib" compile_deplibs="$deplib $compile_deplibs" finalize_deplibs="$deplib $finalize_deplibs" else func_append newdlfiles " $deplib" fi fi continue ;; %DEPLIBS%) alldeplibs=: continue ;; esac # case $deplib $found || test -f "$lib" \ || func_fatal_error "cannot find the library '$lib' or unhandled argument '$deplib'" # Check to see that this really is a libtool archive. func_lalib_unsafe_p "$lib" \ || func_fatal_error "'$lib' is not a valid libtool archive" func_dirname "$lib" "" "." ladir=$func_dirname_result dlname= dlopen= dlpreopen= libdir= library_names= old_library= inherited_linker_flags= # If the library was installed with an old release of libtool, # it will not redefine variables installed, or shouldnotlink installed=yes shouldnotlink=no avoidtemprpath= # Read the .la file func_source "$lib" # Convert "-framework foo" to "foo.ltframework" if test -n "$inherited_linker_flags"; then tmp_inherited_linker_flags=`$ECHO "$inherited_linker_flags" | $SED 's/-framework \([^ $]*\)/\1.ltframework/g'` for tmp_inherited_linker_flag in $tmp_inherited_linker_flags; do case " $new_inherited_linker_flags " in *" $tmp_inherited_linker_flag "*) ;; *) func_append new_inherited_linker_flags " $tmp_inherited_linker_flag";; esac done fi dependency_libs=`$ECHO " $dependency_libs" | $SED 's% \([^ $]*\).ltframework% -framework \1%g'` if test lib,link = "$linkmode,$pass" || test prog,scan = "$linkmode,$pass" || { test prog != "$linkmode" && test lib != "$linkmode"; }; then test -n "$dlopen" && func_append dlfiles " $dlopen" test -n "$dlpreopen" && func_append dlprefiles " $dlpreopen" fi if test conv = "$pass"; then # Only check for convenience libraries deplibs="$lib $deplibs" if test -z "$libdir"; then if test -z "$old_library"; then func_fatal_error "cannot find name of link library for '$lib'" fi # It is a libtool convenience library, so add in its objects. func_append convenience " $ladir/$objdir/$old_library" func_append old_convenience " $ladir/$objdir/$old_library" elif test prog != "$linkmode" && test lib != "$linkmode"; then func_fatal_error "'$lib' is not a convenience library" fi tmp_libs= for deplib in $dependency_libs; do deplibs="$deplib $deplibs" if $opt_preserve_dup_deps; then case "$tmp_libs " in *" $deplib "*) func_append specialdeplibs " $deplib" ;; esac fi func_append tmp_libs " $deplib" done continue fi # $pass = conv # Get the name of the library we link against. linklib= if test -n "$old_library" && { test yes = "$prefer_static_libs" || test built,no = "$prefer_static_libs,$installed"; }; then linklib=$old_library else for l in $old_library $library_names; do linklib=$l done fi if test -z "$linklib"; then func_fatal_error "cannot find name of link library for '$lib'" fi # This library was specified with -dlopen. if test dlopen = "$pass"; then test -z "$libdir" \ && func_fatal_error "cannot -dlopen a convenience library: '$lib'" if test -z "$dlname" || test yes != "$dlopen_support" || test no = "$build_libtool_libs" then # If there is no dlname, no dlopen support or we're linking # statically, we need to preload. We also need to preload any # dependent libraries so libltdl's deplib preloader doesn't # bomb out in the load deplibs phase. func_append dlprefiles " $lib $dependency_libs" else func_append newdlfiles " $lib" fi continue fi # $pass = dlopen # We need an absolute path. case $ladir in [\\/]* | [A-Za-z]:[\\/]*) abs_ladir=$ladir ;; *) abs_ladir=`cd "$ladir" && pwd` if test -z "$abs_ladir"; then func_warning "cannot determine absolute directory name of '$ladir'" func_warning "passing it literally to the linker, although it might fail" abs_ladir=$ladir fi ;; esac func_basename "$lib" laname=$func_basename_result # Find the relevant object directory and library name. if test yes = "$installed"; then if test ! -f "$lt_sysroot$libdir/$linklib" && test -f "$abs_ladir/$linklib"; then func_warning "library '$lib' was moved." dir=$ladir absdir=$abs_ladir libdir=$abs_ladir else dir=$lt_sysroot$libdir absdir=$lt_sysroot$libdir fi test yes = "$hardcode_automatic" && avoidtemprpath=yes else if test ! -f "$ladir/$objdir/$linklib" && test -f "$abs_ladir/$linklib"; then dir=$ladir absdir=$abs_ladir # Remove this search path later func_append notinst_path " $abs_ladir" else dir=$ladir/$objdir absdir=$abs_ladir/$objdir # Remove this search path later func_append notinst_path " $abs_ladir" fi fi # $installed = yes func_stripname 'lib' '.la' "$laname" name=$func_stripname_result # This library was specified with -dlpreopen. if test dlpreopen = "$pass"; then if test -z "$libdir" && test prog = "$linkmode"; then func_fatal_error "only libraries may -dlpreopen a convenience library: '$lib'" fi case $host in # special handling for platforms with PE-DLLs. *cygwin* | *mingw* | *cegcc* ) # Linker will automatically link against shared library if both # static and shared are present. Therefore, ensure we extract # symbols from the import library if a shared library is present # (otherwise, the dlopen module name will be incorrect). We do # this by putting the import library name into $newdlprefiles. # We recover the dlopen module name by 'saving' the la file # name in a special purpose variable, and (later) extracting the # dlname from the la file. if test -n "$dlname"; then func_tr_sh "$dir/$linklib" eval "libfile_$func_tr_sh_result=\$abs_ladir/\$laname" func_append newdlprefiles " $dir/$linklib" else func_append newdlprefiles " $dir/$old_library" # Keep a list of preopened convenience libraries to check # that they are being used correctly in the link pass. test -z "$libdir" && \ func_append dlpreconveniencelibs " $dir/$old_library" fi ;; * ) # Prefer using a static library (so that no silly _DYNAMIC symbols # are required to link). if test -n "$old_library"; then func_append newdlprefiles " $dir/$old_library" # Keep a list of preopened convenience libraries to check # that they are being used correctly in the link pass. test -z "$libdir" && \ func_append dlpreconveniencelibs " $dir/$old_library" # Otherwise, use the dlname, so that lt_dlopen finds it. elif test -n "$dlname"; then func_append newdlprefiles " $dir/$dlname" else func_append newdlprefiles " $dir/$linklib" fi ;; esac fi # $pass = dlpreopen if test -z "$libdir"; then # Link the convenience library if test lib = "$linkmode"; then deplibs="$dir/$old_library $deplibs" elif test prog,link = "$linkmode,$pass"; then compile_deplibs="$dir/$old_library $compile_deplibs" finalize_deplibs="$dir/$old_library $finalize_deplibs" else deplibs="$lib $deplibs" # used for prog,scan pass fi continue fi if test prog = "$linkmode" && test link != "$pass"; then func_append newlib_search_path " $ladir" deplibs="$lib $deplibs" linkalldeplibs=false if test no != "$link_all_deplibs" || test -z "$library_names" || test no = "$build_libtool_libs"; then linkalldeplibs=: fi tmp_libs= for deplib in $dependency_libs; do case $deplib in -L*) func_stripname '-L' '' "$deplib" func_resolve_sysroot "$func_stripname_result" func_append newlib_search_path " $func_resolve_sysroot_result" ;; esac # Need to link against all dependency_libs? if $linkalldeplibs; then deplibs="$deplib $deplibs" else # Need to hardcode shared library paths # or/and link against static libraries newdependency_libs="$deplib $newdependency_libs" fi if $opt_preserve_dup_deps; then case "$tmp_libs " in *" $deplib "*) func_append specialdeplibs " $deplib" ;; esac fi func_append tmp_libs " $deplib" done # for deplib continue fi # $linkmode = prog... if test prog,link = "$linkmode,$pass"; then if test -n "$library_names" && { { test no = "$prefer_static_libs" || test built,yes = "$prefer_static_libs,$installed"; } || test -z "$old_library"; }; then # We need to hardcode the library path if test -n "$shlibpath_var" && test -z "$avoidtemprpath"; then # Make sure the rpath contains only unique directories. case $temp_rpath: in *"$absdir:"*) ;; *) func_append temp_rpath "$absdir:" ;; esac fi # Hardcode the library path. # Skip directories that are in the system default run-time # search path. case " $sys_lib_dlsearch_path " in *" $absdir "*) ;; *) case "$compile_rpath " in *" $absdir "*) ;; *) func_append compile_rpath " $absdir" ;; esac ;; esac case " $sys_lib_dlsearch_path " in *" $libdir "*) ;; *) case "$finalize_rpath " in *" $libdir "*) ;; *) func_append finalize_rpath " $libdir" ;; esac ;; esac fi # $linkmode,$pass = prog,link... if $alldeplibs && { test pass_all = "$deplibs_check_method" || { test yes = "$build_libtool_libs" && test -n "$library_names"; }; }; then # We only need to search for static libraries continue fi fi link_static=no # Whether the deplib will be linked statically use_static_libs=$prefer_static_libs if test built = "$use_static_libs" && test yes = "$installed"; then use_static_libs=no fi if test -n "$library_names" && { test no = "$use_static_libs" || test -z "$old_library"; }; then case $host in *cygwin* | *mingw* | *cegcc* | *os2*) # No point in relinking DLLs because paths are not encoded func_append notinst_deplibs " $lib" need_relink=no ;; *) if test no = "$installed"; then func_append notinst_deplibs " $lib" need_relink=yes fi ;; esac # This is a shared library # Warn about portability, can't link against -module's on some # systems (darwin). Don't bleat about dlopened modules though! dlopenmodule= for dlpremoduletest in $dlprefiles; do if test "X$dlpremoduletest" = "X$lib"; then dlopenmodule=$dlpremoduletest break fi done if test -z "$dlopenmodule" && test yes = "$shouldnotlink" && test link = "$pass"; then echo if test prog = "$linkmode"; then $ECHO "*** Warning: Linking the executable $output against the loadable module" else $ECHO "*** Warning: Linking the shared library $output against the loadable module" fi $ECHO "*** $linklib is not portable!" fi if test lib = "$linkmode" && test yes = "$hardcode_into_libs"; then # Hardcode the library path. # Skip directories that are in the system default run-time # search path. case " $sys_lib_dlsearch_path " in *" $absdir "*) ;; *) case "$compile_rpath " in *" $absdir "*) ;; *) func_append compile_rpath " $absdir" ;; esac ;; esac case " $sys_lib_dlsearch_path " in *" $libdir "*) ;; *) case "$finalize_rpath " in *" $libdir "*) ;; *) func_append finalize_rpath " $libdir" ;; esac ;; esac fi if test -n "$old_archive_from_expsyms_cmds"; then # figure out the soname set dummy $library_names shift realname=$1 shift libname=`eval "\\$ECHO \"$libname_spec\""` # use dlname if we got it. it's perfectly good, no? if test -n "$dlname"; then soname=$dlname elif test -n "$soname_spec"; then # bleh windows case $host in *cygwin* | mingw* | *cegcc* | *os2*) func_arith $current - $age major=$func_arith_result versuffix=-$major ;; esac eval soname=\"$soname_spec\" else soname=$realname fi # Make a new name for the extract_expsyms_cmds to use soroot=$soname func_basename "$soroot" soname=$func_basename_result func_stripname 'lib' '.dll' "$soname" newlib=libimp-$func_stripname_result.a # If the library has no export list, then create one now if test -f "$output_objdir/$soname-def"; then : else func_verbose "extracting exported symbol list from '$soname'" func_execute_cmds "$extract_expsyms_cmds" 'exit $?' fi # Create $newlib if test -f "$output_objdir/$newlib"; then :; else func_verbose "generating import library for '$soname'" func_execute_cmds "$old_archive_from_expsyms_cmds" 'exit $?' fi # make sure the library variables are pointing to the new library dir=$output_objdir linklib=$newlib fi # test -n "$old_archive_from_expsyms_cmds" if test prog = "$linkmode" || test relink != "$opt_mode"; then add_shlibpath= add_dir= add= lib_linked=yes case $hardcode_action in immediate | unsupported) if test no = "$hardcode_direct"; then add=$dir/$linklib case $host in *-*-sco3.2v5.0.[024]*) add_dir=-L$dir ;; *-*-sysv4*uw2*) add_dir=-L$dir ;; *-*-sysv5OpenUNIX* | *-*-sysv5UnixWare7.[01].[10]* | \ *-*-unixware7*) add_dir=-L$dir ;; *-*-darwin* ) # if the lib is a (non-dlopened) module then we cannot # link against it, someone is ignoring the earlier warnings if /usr/bin/file -L $add 2> /dev/null | $GREP ": [^:]* bundle" >/dev/null; then if test "X$dlopenmodule" != "X$lib"; then $ECHO "*** Warning: lib $linklib is a module, not a shared library" if test -z "$old_library"; then echo echo "*** And there doesn't seem to be a static archive available" echo "*** The link will probably fail, sorry" else add=$dir/$old_library fi elif test -n "$old_library"; then add=$dir/$old_library fi fi esac elif test no = "$hardcode_minus_L"; then case $host in *-*-sunos*) add_shlibpath=$dir ;; esac add_dir=-L$dir add=-l$name elif test no = "$hardcode_shlibpath_var"; then add_shlibpath=$dir add=-l$name else lib_linked=no fi ;; relink) if test yes = "$hardcode_direct" && test no = "$hardcode_direct_absolute"; then add=$dir/$linklib elif test yes = "$hardcode_minus_L"; then add_dir=-L$absdir # Try looking first in the location we're being installed to. if test -n "$inst_prefix_dir"; then case $libdir in [\\/]*) func_append add_dir " -L$inst_prefix_dir$libdir" ;; esac fi add=-l$name elif test yes = "$hardcode_shlibpath_var"; then add_shlibpath=$dir add=-l$name else lib_linked=no fi ;; *) lib_linked=no ;; esac if test yes != "$lib_linked"; then func_fatal_configuration "unsupported hardcode properties" fi if test -n "$add_shlibpath"; then case :$compile_shlibpath: in *":$add_shlibpath:"*) ;; *) func_append compile_shlibpath "$add_shlibpath:" ;; esac fi if test prog = "$linkmode"; then test -n "$add_dir" && compile_deplibs="$add_dir $compile_deplibs" test -n "$add" && compile_deplibs="$add $compile_deplibs" else test -n "$add_dir" && deplibs="$add_dir $deplibs" test -n "$add" && deplibs="$add $deplibs" if test yes != "$hardcode_direct" && test yes != "$hardcode_minus_L" && test yes = "$hardcode_shlibpath_var"; then case :$finalize_shlibpath: in *":$libdir:"*) ;; *) func_append finalize_shlibpath "$libdir:" ;; esac fi fi fi if test prog = "$linkmode" || test relink = "$opt_mode"; then add_shlibpath= add_dir= add= # Finalize command for both is simple: just hardcode it. if test yes = "$hardcode_direct" && test no = "$hardcode_direct_absolute"; then add=$libdir/$linklib elif test yes = "$hardcode_minus_L"; then add_dir=-L$libdir add=-l$name elif test yes = "$hardcode_shlibpath_var"; then case :$finalize_shlibpath: in *":$libdir:"*) ;; *) func_append finalize_shlibpath "$libdir:" ;; esac add=-l$name elif test yes = "$hardcode_automatic"; then if test -n "$inst_prefix_dir" && test -f "$inst_prefix_dir$libdir/$linklib"; then add=$inst_prefix_dir$libdir/$linklib else add=$libdir/$linklib fi else # We cannot seem to hardcode it, guess we'll fake it. add_dir=-L$libdir # Try looking first in the location we're being installed to. if test -n "$inst_prefix_dir"; then case $libdir in [\\/]*) func_append add_dir " -L$inst_prefix_dir$libdir" ;; esac fi add=-l$name fi if test prog = "$linkmode"; then test -n "$add_dir" && finalize_deplibs="$add_dir $finalize_deplibs" test -n "$add" && finalize_deplibs="$add $finalize_deplibs" else test -n "$add_dir" && deplibs="$add_dir $deplibs" test -n "$add" && deplibs="$add $deplibs" fi fi elif test prog = "$linkmode"; then # Here we assume that one of hardcode_direct or hardcode_minus_L # is not unsupported. This is valid on all known static and # shared platforms. if test unsupported != "$hardcode_direct"; then test -n "$old_library" && linklib=$old_library compile_deplibs="$dir/$linklib $compile_deplibs" finalize_deplibs="$dir/$linklib $finalize_deplibs" else compile_deplibs="-l$name -L$dir $compile_deplibs" finalize_deplibs="-l$name -L$dir $finalize_deplibs" fi elif test yes = "$build_libtool_libs"; then # Not a shared library if test pass_all != "$deplibs_check_method"; then # We're trying link a shared library against a static one # but the system doesn't support it. # Just print a warning and add the library to dependency_libs so # that the program can be linked against the static library. echo $ECHO "*** Warning: This system cannot link to static lib archive $lib." echo "*** I have the capability to make that library automatically link in when" echo "*** you link to this library. But I can only do this if you have a" echo "*** shared version of the library, which you do not appear to have." if test yes = "$module"; then echo "*** But as you try to build a module library, libtool will still create " echo "*** a static module, that should work as long as the dlopening application" echo "*** is linked with the -dlopen flag to resolve symbols at runtime." if test -z "$global_symbol_pipe"; then echo echo "*** However, this would only work if libtool was able to extract symbol" echo "*** lists from a program, using 'nm' or equivalent, but libtool could" echo "*** not find such a program. So, this module is probably useless." echo "*** 'nm' from GNU binutils and a full rebuild may help." fi if test no = "$build_old_libs"; then build_libtool_libs=module build_old_libs=yes else build_libtool_libs=no fi fi else deplibs="$dir/$old_library $deplibs" link_static=yes fi fi # link shared/static library? if test lib = "$linkmode"; then if test -n "$dependency_libs" && { test yes != "$hardcode_into_libs" || test yes = "$build_old_libs" || test yes = "$link_static"; }; then # Extract -R from dependency_libs temp_deplibs= for libdir in $dependency_libs; do case $libdir in -R*) func_stripname '-R' '' "$libdir" temp_xrpath=$func_stripname_result case " $xrpath " in *" $temp_xrpath "*) ;; *) func_append xrpath " $temp_xrpath";; esac;; *) func_append temp_deplibs " $libdir";; esac done dependency_libs=$temp_deplibs fi func_append newlib_search_path " $absdir" # Link against this library test no = "$link_static" && newdependency_libs="$abs_ladir/$laname $newdependency_libs" # ... and its dependency_libs tmp_libs= for deplib in $dependency_libs; do newdependency_libs="$deplib $newdependency_libs" case $deplib in -L*) func_stripname '-L' '' "$deplib" func_resolve_sysroot "$func_stripname_result";; *) func_resolve_sysroot "$deplib" ;; esac if $opt_preserve_dup_deps; then case "$tmp_libs " in *" $func_resolve_sysroot_result "*) func_append specialdeplibs " $func_resolve_sysroot_result" ;; esac fi func_append tmp_libs " $func_resolve_sysroot_result" done if test no != "$link_all_deplibs"; then # Add the search paths of all dependency libraries for deplib in $dependency_libs; do path= case $deplib in -L*) path=$deplib ;; *.la) func_resolve_sysroot "$deplib" deplib=$func_resolve_sysroot_result func_dirname "$deplib" "" "." dir=$func_dirname_result # We need an absolute path. case $dir in [\\/]* | [A-Za-z]:[\\/]*) absdir=$dir ;; *) absdir=`cd "$dir" && pwd` if test -z "$absdir"; then func_warning "cannot determine absolute directory name of '$dir'" absdir=$dir fi ;; esac if $GREP "^installed=no" $deplib > /dev/null; then case $host in *-*-darwin*) depdepl= eval deplibrary_names=`$SED -n -e 's/^library_names=\(.*\)$/\1/p' $deplib` if test -n "$deplibrary_names"; then for tmp in $deplibrary_names; do depdepl=$tmp done if test -f "$absdir/$objdir/$depdepl"; then depdepl=$absdir/$objdir/$depdepl darwin_install_name=`$OTOOL -L $depdepl | awk '{if (NR == 2) {print $1;exit}}'` if test -z "$darwin_install_name"; then darwin_install_name=`$OTOOL64 -L $depdepl | awk '{if (NR == 2) {print $1;exit}}'` fi func_append compiler_flags " $wl-dylib_file $wl$darwin_install_name:$depdepl" func_append linker_flags " -dylib_file $darwin_install_name:$depdepl" path= fi fi ;; *) path=-L$absdir/$objdir ;; esac else eval libdir=`$SED -n -e 's/^libdir=\(.*\)$/\1/p' $deplib` test -z "$libdir" && \ func_fatal_error "'$deplib' is not a valid libtool archive" test "$absdir" != "$libdir" && \ func_warning "'$deplib' seems to be moved" path=-L$absdir fi ;; esac case " $deplibs " in *" $path "*) ;; *) deplibs="$path $deplibs" ;; esac done fi # link_all_deplibs != no fi # linkmode = lib done # for deplib in $libs if test link = "$pass"; then if test prog = "$linkmode"; then compile_deplibs="$new_inherited_linker_flags $compile_deplibs" finalize_deplibs="$new_inherited_linker_flags $finalize_deplibs" else compiler_flags="$compiler_flags "`$ECHO " $new_inherited_linker_flags" | $SED 's% \([^ $]*\).ltframework% -framework \1%g'` fi fi dependency_libs=$newdependency_libs if test dlpreopen = "$pass"; then # Link the dlpreopened libraries before other libraries for deplib in $save_deplibs; do deplibs="$deplib $deplibs" done fi if test dlopen != "$pass"; then test conv = "$pass" || { # Make sure lib_search_path contains only unique directories. lib_search_path= for dir in $newlib_search_path; do case "$lib_search_path " in *" $dir "*) ;; *) func_append lib_search_path " $dir" ;; esac done newlib_search_path= } if test prog,link = "$linkmode,$pass"; then vars="compile_deplibs finalize_deplibs" else vars=deplibs fi for var in $vars dependency_libs; do # Add libraries to $var in reverse order eval tmp_libs=\"\$$var\" new_libs= for deplib in $tmp_libs; do # FIXME: Pedantically, this is the right thing to do, so # that some nasty dependency loop isn't accidentally # broken: #new_libs="$deplib $new_libs" # Pragmatically, this seems to cause very few problems in # practice: case $deplib in -L*) new_libs="$deplib $new_libs" ;; -R*) ;; *) # And here is the reason: when a library appears more # than once as an explicit dependence of a library, or # is implicitly linked in more than once by the # compiler, it is considered special, and multiple # occurrences thereof are not removed. Compare this # with having the same library being listed as a # dependency of multiple other libraries: in this case, # we know (pedantically, we assume) the library does not # need to be listed more than once, so we keep only the # last copy. This is not always right, but it is rare # enough that we require users that really mean to play # such unportable linking tricks to link the library # using -Wl,-lname, so that libtool does not consider it # for duplicate removal. case " $specialdeplibs " in *" $deplib "*) new_libs="$deplib $new_libs" ;; *) case " $new_libs " in *" $deplib "*) ;; *) new_libs="$deplib $new_libs" ;; esac ;; esac ;; esac done tmp_libs= for deplib in $new_libs; do case $deplib in -L*) case " $tmp_libs " in *" $deplib "*) ;; *) func_append tmp_libs " $deplib" ;; esac ;; *) func_append tmp_libs " $deplib" ;; esac done eval $var=\"$tmp_libs\" done # for var fi # Add Sun CC postdeps if required: test CXX = "$tagname" && { case $host_os in linux*) case `$CC -V 2>&1 | sed 5q` in *Sun\ C*) # Sun C++ 5.9 func_suncc_cstd_abi if test no != "$suncc_use_cstd_abi"; then func_append postdeps ' -library=Cstd -library=Crun' fi ;; esac ;; solaris*) func_cc_basename "$CC" case $func_cc_basename_result in CC* | sunCC*) func_suncc_cstd_abi if test no != "$suncc_use_cstd_abi"; then func_append postdeps ' -library=Cstd -library=Crun' fi ;; esac ;; esac } # Last step: remove runtime libs from dependency_libs # (they stay in deplibs) tmp_libs= for i in $dependency_libs; do case " $predeps $postdeps $compiler_lib_search_path " in *" $i "*) i= ;; esac if test -n "$i"; then func_append tmp_libs " $i" fi done dependency_libs=$tmp_libs done # for pass if test prog = "$linkmode"; then dlfiles=$newdlfiles fi if test prog = "$linkmode" || test lib = "$linkmode"; then dlprefiles=$newdlprefiles fi case $linkmode in oldlib) if test -n "$dlfiles$dlprefiles" || test no != "$dlself"; then func_warning "'-dlopen' is ignored for archives" fi case " $deplibs" in *\ -l* | *\ -L*) func_warning "'-l' and '-L' are ignored for archives" ;; esac test -n "$rpath" && \ func_warning "'-rpath' is ignored for archives" test -n "$xrpath" && \ func_warning "'-R' is ignored for archives" test -n "$vinfo" && \ func_warning "'-version-info/-version-number' is ignored for archives" test -n "$release" && \ func_warning "'-release' is ignored for archives" test -n "$export_symbols$export_symbols_regex" && \ func_warning "'-export-symbols' is ignored for archives" # Now set the variables for building old libraries. build_libtool_libs=no oldlibs=$output func_append objs "$old_deplibs" ;; lib) # Make sure we only generate libraries of the form 'libNAME.la'. case $outputname in lib*) func_stripname 'lib' '.la' "$outputname" name=$func_stripname_result eval shared_ext=\"$shrext_cmds\" eval libname=\"$libname_spec\" ;; *) test no = "$module" \ && func_fatal_help "libtool library '$output' must begin with 'lib'" if test no != "$need_lib_prefix"; then # Add the "lib" prefix for modules if required func_stripname '' '.la' "$outputname" name=$func_stripname_result eval shared_ext=\"$shrext_cmds\" eval libname=\"$libname_spec\" else func_stripname '' '.la' "$outputname" libname=$func_stripname_result fi ;; esac if test -n "$objs"; then if test pass_all != "$deplibs_check_method"; then func_fatal_error "cannot build libtool library '$output' from non-libtool objects on this host:$objs" else echo $ECHO "*** Warning: Linking the shared library $output against the non-libtool" $ECHO "*** objects $objs is not portable!" func_append libobjs " $objs" fi fi test no = "$dlself" \ || func_warning "'-dlopen self' is ignored for libtool libraries" set dummy $rpath shift test 1 -lt "$#" \ && func_warning "ignoring multiple '-rpath's for a libtool library" install_libdir=$1 oldlibs= if test -z "$rpath"; then if test yes = "$build_libtool_libs"; then # Building a libtool convenience library. # Some compilers have problems with a '.al' extension so # convenience libraries should have the same extension an # archive normally would. oldlibs="$output_objdir/$libname.$libext $oldlibs" build_libtool_libs=convenience build_old_libs=yes fi test -n "$vinfo" && \ func_warning "'-version-info/-version-number' is ignored for convenience libraries" test -n "$release" && \ func_warning "'-release' is ignored for convenience libraries" else # Parse the version information argument. save_ifs=$IFS; IFS=: set dummy $vinfo 0 0 0 shift IFS=$save_ifs test -n "$7" && \ func_fatal_help "too many parameters to '-version-info'" # convert absolute version numbers to libtool ages # this retains compatibility with .la files and attempts # to make the code below a bit more comprehensible case $vinfo_number in yes) number_major=$1 number_minor=$2 number_revision=$3 # # There are really only two kinds -- those that # use the current revision as the major version # and those that subtract age and use age as # a minor version. But, then there is irix # that has an extra 1 added just for fun # case $version_type in # correct linux to gnu/linux during the next big refactor darwin|freebsd-elf|linux|osf|windows|none) func_arith $number_major + $number_minor current=$func_arith_result age=$number_minor revision=$number_revision ;; freebsd-aout|qnx|sunos) current=$number_major revision=$number_minor age=0 ;; irix|nonstopux) func_arith $number_major + $number_minor current=$func_arith_result age=$number_minor revision=$number_minor lt_irix_increment=no ;; esac ;; no) current=$1 revision=$2 age=$3 ;; esac # Check that each of the things are valid numbers. case $current in 0|[1-9]|[1-9][0-9]|[1-9][0-9][0-9]|[1-9][0-9][0-9][0-9]|[1-9][0-9][0-9][0-9][0-9]) ;; *) func_error "CURRENT '$current' must be a nonnegative integer" func_fatal_error "'$vinfo' is not valid version information" ;; esac case $revision in 0|[1-9]|[1-9][0-9]|[1-9][0-9][0-9]|[1-9][0-9][0-9][0-9]|[1-9][0-9][0-9][0-9][0-9]) ;; *) func_error "REVISION '$revision' must be a nonnegative integer" func_fatal_error "'$vinfo' is not valid version information" ;; esac case $age in 0|[1-9]|[1-9][0-9]|[1-9][0-9][0-9]|[1-9][0-9][0-9][0-9]|[1-9][0-9][0-9][0-9][0-9]) ;; *) func_error "AGE '$age' must be a nonnegative integer" func_fatal_error "'$vinfo' is not valid version information" ;; esac if test "$age" -gt "$current"; then func_error "AGE '$age' is greater than the current interface number '$current'" func_fatal_error "'$vinfo' is not valid version information" fi # Calculate the version variables. major= versuffix= verstring= case $version_type in none) ;; darwin) # Like Linux, but with the current version available in # verstring for coding it into the library header func_arith $current - $age major=.$func_arith_result versuffix=$major.$age.$revision # Darwin ld doesn't like 0 for these options... func_arith $current + 1 minor_current=$func_arith_result xlcverstring="$wl-compatibility_version $wl$minor_current $wl-current_version $wl$minor_current.$revision" verstring="-compatibility_version $minor_current -current_version $minor_current.$revision" # On Darwin other compilers case $CC in nagfor*) verstring="$wl-compatibility_version $wl$minor_current $wl-current_version $wl$minor_current.$revision" ;; *) verstring="-compatibility_version $minor_current -current_version $minor_current.$revision" ;; esac ;; freebsd-aout) major=.$current versuffix=.$current.$revision ;; freebsd-elf) func_arith $current - $age major=.$func_arith_result versuffix=$major.$age.$revision ;; irix | nonstopux) if test no = "$lt_irix_increment"; then func_arith $current - $age else func_arith $current - $age + 1 fi major=$func_arith_result case $version_type in nonstopux) verstring_prefix=nonstopux ;; *) verstring_prefix=sgi ;; esac verstring=$verstring_prefix$major.$revision # Add in all the interfaces that we are compatible with. loop=$revision while test 0 -ne "$loop"; do func_arith $revision - $loop iface=$func_arith_result func_arith $loop - 1 loop=$func_arith_result verstring=$verstring_prefix$major.$iface:$verstring done # Before this point, $major must not contain '.'. major=.$major versuffix=$major.$revision ;; linux) # correct to gnu/linux during the next big refactor func_arith $current - $age major=.$func_arith_result versuffix=$major.$age.$revision ;; osf) func_arith $current - $age major=.$func_arith_result versuffix=.$current.$age.$revision verstring=$current.$age.$revision # Add in all the interfaces that we are compatible with. loop=$age while test 0 -ne "$loop"; do func_arith $current - $loop iface=$func_arith_result func_arith $loop - 1 loop=$func_arith_result verstring=$verstring:$iface.0 done # Make executables depend on our current version. func_append verstring ":$current.0" ;; qnx) major=.$current versuffix=.$current ;; sco) major=.$current versuffix=.$current ;; sunos) major=.$current versuffix=.$current.$revision ;; windows) # Use '-' rather than '.', since we only want one # extension on DOS 8.3 file systems. func_arith $current - $age major=$func_arith_result versuffix=-$major ;; *) func_fatal_configuration "unknown library version type '$version_type'" ;; esac # Clear the version info if we defaulted, and they specified a release. if test -z "$vinfo" && test -n "$release"; then major= case $version_type in darwin) # we can't check for "0.0" in archive_cmds due to quoting # problems, so we reset it completely verstring= ;; *) verstring=0.0 ;; esac if test no = "$need_version"; then versuffix= else versuffix=.0.0 fi fi # Remove version info from name if versioning should be avoided if test yes,no = "$avoid_version,$need_version"; then major= versuffix= verstring= fi # Check to see if the archive will have undefined symbols. if test yes = "$allow_undefined"; then if test unsupported = "$allow_undefined_flag"; then if test yes = "$build_old_libs"; then func_warning "undefined symbols not allowed in $host shared libraries; building static only" build_libtool_libs=no else func_fatal_error "can't build $host shared library unless -no-undefined is specified" fi fi else # Don't allow undefined symbols. allow_undefined_flag=$no_undefined_flag fi fi func_generate_dlsyms "$libname" "$libname" : func_append libobjs " $symfileobj" test " " = "$libobjs" && libobjs= if test relink != "$opt_mode"; then # Remove our outputs, but don't remove object files since they # may have been created when compiling PIC objects. removelist= tempremovelist=`$ECHO "$output_objdir/*"` for p in $tempremovelist; do case $p in *.$objext | *.gcno) ;; $output_objdir/$outputname | $output_objdir/$libname.* | $output_objdir/$libname$release.*) if test -n "$precious_files_regex"; then if $ECHO "$p" | $EGREP -e "$precious_files_regex" >/dev/null 2>&1 then continue fi fi func_append removelist " $p" ;; *) ;; esac done test -n "$removelist" && \ func_show_eval "${RM}r \$removelist" fi # Now set the variables for building old libraries. if test yes = "$build_old_libs" && test convenience != "$build_libtool_libs"; then func_append oldlibs " $output_objdir/$libname.$libext" # Transform .lo files to .o files. oldobjs="$objs "`$ECHO "$libobjs" | $SP2NL | $SED "/\.$libext$/d; $lo2o" | $NL2SP` fi # Eliminate all temporary directories. #for path in $notinst_path; do # lib_search_path=`$ECHO "$lib_search_path " | $SED "s% $path % %g"` # deplibs=`$ECHO "$deplibs " | $SED "s% -L$path % %g"` # dependency_libs=`$ECHO "$dependency_libs " | $SED "s% -L$path % %g"` #done if test -n "$xrpath"; then # If the user specified any rpath flags, then add them. temp_xrpath= for libdir in $xrpath; do func_replace_sysroot "$libdir" func_append temp_xrpath " -R$func_replace_sysroot_result" case "$finalize_rpath " in *" $libdir "*) ;; *) func_append finalize_rpath " $libdir" ;; esac done if test yes != "$hardcode_into_libs" || test yes = "$build_old_libs"; then dependency_libs="$temp_xrpath $dependency_libs" fi fi # Make sure dlfiles contains only unique files that won't be dlpreopened old_dlfiles=$dlfiles dlfiles= for lib in $old_dlfiles; do case " $dlprefiles $dlfiles " in *" $lib "*) ;; *) func_append dlfiles " $lib" ;; esac done # Make sure dlprefiles contains only unique files old_dlprefiles=$dlprefiles dlprefiles= for lib in $old_dlprefiles; do case "$dlprefiles " in *" $lib "*) ;; *) func_append dlprefiles " $lib" ;; esac done if test yes = "$build_libtool_libs"; then if test -n "$rpath"; then case $host in *-*-cygwin* | *-*-mingw* | *-*-pw32* | *-*-os2* | *-*-beos* | *-cegcc* | *-*-haiku*) # these systems don't actually have a c library (as such)! ;; *-*-rhapsody* | *-*-darwin1.[012]) # Rhapsody C library is in the System framework func_append deplibs " System.ltframework" ;; *-*-netbsd*) # Don't link with libc until the a.out ld.so is fixed. ;; *-*-openbsd* | *-*-freebsd* | *-*-dragonfly*) # Do not include libc due to us having libc/libc_r. ;; *-*-sco3.2v5* | *-*-sco5v6*) # Causes problems with __ctype ;; *-*-sysv4.2uw2* | *-*-sysv5* | *-*-unixware* | *-*-OpenUNIX*) # Compiler inserts libc in the correct place for threads to work ;; *) # Add libc to deplibs on all other systems if necessary. if test yes = "$build_libtool_need_lc"; then func_append deplibs " -lc" fi ;; esac fi # Transform deplibs into only deplibs that can be linked in shared. name_save=$name libname_save=$libname release_save=$release versuffix_save=$versuffix major_save=$major # I'm not sure if I'm treating the release correctly. I think # release should show up in the -l (ie -lgmp5) so we don't want to # add it in twice. Is that correct? release= versuffix= major= newdeplibs= droppeddeps=no case $deplibs_check_method in pass_all) # Don't check for shared/static. Everything works. # This might be a little naive. We might want to check # whether the library exists or not. But this is on # osf3 & osf4 and I'm not really sure... Just # implementing what was already the behavior. newdeplibs=$deplibs ;; test_compile) # This code stresses the "libraries are programs" paradigm to its # limits. Maybe even breaks it. We compile a program, linking it # against the deplibs as a proxy for the library. Then we can check # whether they linked in statically or dynamically with ldd. $opt_dry_run || $RM conftest.c cat > conftest.c </dev/null` $nocaseglob else potential_libs=`ls $i/$libnameglob[.-]* 2>/dev/null` fi for potent_lib in $potential_libs; do # Follow soft links. if ls -lLd "$potent_lib" 2>/dev/null | $GREP " -> " >/dev/null; then continue fi # The statement above tries to avoid entering an # endless loop below, in case of cyclic links. # We might still enter an endless loop, since a link # loop can be closed while we follow links, # but so what? potlib=$potent_lib while test -h "$potlib" 2>/dev/null; do potliblink=`ls -ld $potlib | $SED 's/.* -> //'` case $potliblink in [\\/]* | [A-Za-z]:[\\/]*) potlib=$potliblink;; *) potlib=`$ECHO "$potlib" | $SED 's|[^/]*$||'`"$potliblink";; esac done if eval $file_magic_cmd \"\$potlib\" 2>/dev/null | $SED -e 10q | $EGREP "$file_magic_regex" > /dev/null; then func_append newdeplibs " $a_deplib" a_deplib= break 2 fi done done fi if test -n "$a_deplib"; then droppeddeps=yes echo $ECHO "*** Warning: linker path does not have real file for library $a_deplib." echo "*** I have the capability to make that library automatically link in when" echo "*** you link to this library. But I can only do this if you have a" echo "*** shared version of the library, which you do not appear to have" echo "*** because I did check the linker path looking for a file starting" if test -z "$potlib"; then $ECHO "*** with $libname but no candidates were found. (...for file magic test)" else $ECHO "*** with $libname and none of the candidates passed a file format test" $ECHO "*** using a file magic. Last file checked: $potlib" fi fi ;; *) # Add a -L argument. func_append newdeplibs " $a_deplib" ;; esac done # Gone through all deplibs. ;; match_pattern*) set dummy $deplibs_check_method; shift match_pattern_regex=`expr "$deplibs_check_method" : "$1 \(.*\)"` for a_deplib in $deplibs; do case $a_deplib in -l*) func_stripname -l '' "$a_deplib" name=$func_stripname_result if test yes = "$allow_libtool_libs_with_static_runtimes"; then case " $predeps $postdeps " in *" $a_deplib "*) func_append newdeplibs " $a_deplib" a_deplib= ;; esac fi if test -n "$a_deplib"; then libname=`eval "\\$ECHO \"$libname_spec\""` for i in $lib_search_path $sys_lib_search_path $shlib_search_path; do potential_libs=`ls $i/$libname[.-]* 2>/dev/null` for potent_lib in $potential_libs; do potlib=$potent_lib # see symlink-check above in file_magic test if eval "\$ECHO \"$potent_lib\"" 2>/dev/null | $SED 10q | \ $EGREP "$match_pattern_regex" > /dev/null; then func_append newdeplibs " $a_deplib" a_deplib= break 2 fi done done fi if test -n "$a_deplib"; then droppeddeps=yes echo $ECHO "*** Warning: linker path does not have real file for library $a_deplib." echo "*** I have the capability to make that library automatically link in when" echo "*** you link to this library. But I can only do this if you have a" echo "*** shared version of the library, which you do not appear to have" echo "*** because I did check the linker path looking for a file starting" if test -z "$potlib"; then $ECHO "*** with $libname but no candidates were found. (...for regex pattern test)" else $ECHO "*** with $libname and none of the candidates passed a file format test" $ECHO "*** using a regex pattern. Last file checked: $potlib" fi fi ;; *) # Add a -L argument. func_append newdeplibs " $a_deplib" ;; esac done # Gone through all deplibs. ;; none | unknown | *) newdeplibs= tmp_deplibs=`$ECHO " $deplibs" | $SED 's/ -lc$//; s/ -[LR][^ ]*//g'` if test yes = "$allow_libtool_libs_with_static_runtimes"; then for i in $predeps $postdeps; do # can't use Xsed below, because $i might contain '/' tmp_deplibs=`$ECHO " $tmp_deplibs" | $SED "s|$i||"` done fi case $tmp_deplibs in *[!\ \ ]*) echo if test none = "$deplibs_check_method"; then echo "*** Warning: inter-library dependencies are not supported in this platform." else echo "*** Warning: inter-library dependencies are not known to be supported." fi echo "*** All declared inter-library dependencies are being dropped." droppeddeps=yes ;; esac ;; esac versuffix=$versuffix_save major=$major_save release=$release_save libname=$libname_save name=$name_save case $host in *-*-rhapsody* | *-*-darwin1.[012]) # On Rhapsody replace the C library with the System framework newdeplibs=`$ECHO " $newdeplibs" | $SED 's/ -lc / System.ltframework /'` ;; esac if test yes = "$droppeddeps"; then if test yes = "$module"; then echo echo "*** Warning: libtool could not satisfy all declared inter-library" $ECHO "*** dependencies of module $libname. Therefore, libtool will create" echo "*** a static module, that should work as long as the dlopening" echo "*** application is linked with the -dlopen flag." if test -z "$global_symbol_pipe"; then echo echo "*** However, this would only work if libtool was able to extract symbol" echo "*** lists from a program, using 'nm' or equivalent, but libtool could" echo "*** not find such a program. So, this module is probably useless." echo "*** 'nm' from GNU binutils and a full rebuild may help." fi if test no = "$build_old_libs"; then oldlibs=$output_objdir/$libname.$libext build_libtool_libs=module build_old_libs=yes else build_libtool_libs=no fi else echo "*** The inter-library dependencies that have been dropped here will be" echo "*** automatically added whenever a program is linked with this library" echo "*** or is declared to -dlopen it." if test no = "$allow_undefined"; then echo echo "*** Since this library must not contain undefined symbols," echo "*** because either the platform does not support them or" echo "*** it was explicitly requested with -no-undefined," echo "*** libtool will only create a static version of it." if test no = "$build_old_libs"; then oldlibs=$output_objdir/$libname.$libext build_libtool_libs=module build_old_libs=yes else build_libtool_libs=no fi fi fi fi # Done checking deplibs! deplibs=$newdeplibs fi # Time to change all our "foo.ltframework" stuff back to "-framework foo" case $host in *-*-darwin*) newdeplibs=`$ECHO " $newdeplibs" | $SED 's% \([^ $]*\).ltframework% -framework \1%g'` new_inherited_linker_flags=`$ECHO " $new_inherited_linker_flags" | $SED 's% \([^ $]*\).ltframework% -framework \1%g'` deplibs=`$ECHO " $deplibs" | $SED 's% \([^ $]*\).ltframework% -framework \1%g'` ;; esac # move library search paths that coincide with paths to not yet # installed libraries to the beginning of the library search list new_libs= for path in $notinst_path; do case " $new_libs " in *" -L$path/$objdir "*) ;; *) case " $deplibs " in *" -L$path/$objdir "*) func_append new_libs " -L$path/$objdir" ;; esac ;; esac done for deplib in $deplibs; do case $deplib in -L*) case " $new_libs " in *" $deplib "*) ;; *) func_append new_libs " $deplib" ;; esac ;; *) func_append new_libs " $deplib" ;; esac done deplibs=$new_libs # All the library-specific variables (install_libdir is set above). library_names= old_library= dlname= # Test again, we may have decided not to build it any more if test yes = "$build_libtool_libs"; then # Remove $wl instances when linking with ld. # FIXME: should test the right _cmds variable. case $archive_cmds in *\$LD\ *) wl= ;; esac if test yes = "$hardcode_into_libs"; then # Hardcode the library paths hardcode_libdirs= dep_rpath= rpath=$finalize_rpath test relink = "$opt_mode" || rpath=$compile_rpath$rpath for libdir in $rpath; do if test -n "$hardcode_libdir_flag_spec"; then if test -n "$hardcode_libdir_separator"; then func_replace_sysroot "$libdir" libdir=$func_replace_sysroot_result if test -z "$hardcode_libdirs"; then hardcode_libdirs=$libdir else # Just accumulate the unique libdirs. case $hardcode_libdir_separator$hardcode_libdirs$hardcode_libdir_separator in *"$hardcode_libdir_separator$libdir$hardcode_libdir_separator"*) ;; *) func_append hardcode_libdirs "$hardcode_libdir_separator$libdir" ;; esac fi else eval flag=\"$hardcode_libdir_flag_spec\" func_append dep_rpath " $flag" fi elif test -n "$runpath_var"; then case "$perm_rpath " in *" $libdir "*) ;; *) func_append perm_rpath " $libdir" ;; esac fi done # Substitute the hardcoded libdirs into the rpath. if test -n "$hardcode_libdir_separator" && test -n "$hardcode_libdirs"; then libdir=$hardcode_libdirs eval "dep_rpath=\"$hardcode_libdir_flag_spec\"" fi if test -n "$runpath_var" && test -n "$perm_rpath"; then # We should set the runpath_var. rpath= for dir in $perm_rpath; do func_append rpath "$dir:" done eval "$runpath_var='$rpath\$$runpath_var'; export $runpath_var" fi test -n "$dep_rpath" && deplibs="$dep_rpath $deplibs" fi shlibpath=$finalize_shlibpath test relink = "$opt_mode" || shlibpath=$compile_shlibpath$shlibpath if test -n "$shlibpath"; then eval "$shlibpath_var='$shlibpath\$$shlibpath_var'; export $shlibpath_var" fi # Get the real and link names of the library. eval shared_ext=\"$shrext_cmds\" eval library_names=\"$library_names_spec\" set dummy $library_names shift realname=$1 shift if test -n "$soname_spec"; then eval soname=\"$soname_spec\" else soname=$realname fi if test -z "$dlname"; then dlname=$soname fi lib=$output_objdir/$realname linknames= for link do func_append linknames " $link" done # Use standard objects if they are pic test -z "$pic_flag" && libobjs=`$ECHO "$libobjs" | $SP2NL | $SED "$lo2o" | $NL2SP` test "X$libobjs" = "X " && libobjs= delfiles= if test -n "$export_symbols" && test -n "$include_expsyms"; then $opt_dry_run || cp "$export_symbols" "$output_objdir/$libname.uexp" export_symbols=$output_objdir/$libname.uexp func_append delfiles " $export_symbols" fi orig_export_symbols= case $host_os in cygwin* | mingw* | cegcc*) if test -n "$export_symbols" && test -z "$export_symbols_regex"; then # exporting using user supplied symfile func_dll_def_p "$export_symbols" || { # and it's NOT already a .def file. Must figure out # which of the given symbols are data symbols and tag # them as such. So, trigger use of export_symbols_cmds. # export_symbols gets reassigned inside the "prepare # the list of exported symbols" if statement, so the # include_expsyms logic still works. orig_export_symbols=$export_symbols export_symbols= always_export_symbols=yes } fi ;; esac # Prepare the list of exported symbols if test -z "$export_symbols"; then if test yes = "$always_export_symbols" || test -n "$export_symbols_regex"; then func_verbose "generating symbol list for '$libname.la'" export_symbols=$output_objdir/$libname.exp $opt_dry_run || $RM $export_symbols cmds=$export_symbols_cmds save_ifs=$IFS; IFS='~' for cmd1 in $cmds; do IFS=$save_ifs # Take the normal branch if the nm_file_list_spec branch # doesn't work or if tool conversion is not needed. case $nm_file_list_spec~$to_tool_file_cmd in *~func_convert_file_noop | *~func_convert_file_msys_to_w32 | ~*) try_normal_branch=yes eval cmd=\"$cmd1\" func_len " $cmd" len=$func_len_result ;; *) try_normal_branch=no ;; esac if test yes = "$try_normal_branch" \ && { test "$len" -lt "$max_cmd_len" \ || test "$max_cmd_len" -le -1; } then func_show_eval "$cmd" 'exit $?' skipped_export=false elif test -n "$nm_file_list_spec"; then func_basename "$output" output_la=$func_basename_result save_libobjs=$libobjs save_output=$output output=$output_objdir/$output_la.nm func_to_tool_file "$output" libobjs=$nm_file_list_spec$func_to_tool_file_result func_append delfiles " $output" func_verbose "creating $NM input file list: $output" for obj in $save_libobjs; do func_to_tool_file "$obj" $ECHO "$func_to_tool_file_result" done > "$output" eval cmd=\"$cmd1\" func_show_eval "$cmd" 'exit $?' output=$save_output libobjs=$save_libobjs skipped_export=false else # The command line is too long to execute in one step. func_verbose "using reloadable object file for export list..." skipped_export=: # Break out early, otherwise skipped_export may be # set to false by a later but shorter cmd. break fi done IFS=$save_ifs if test -n "$export_symbols_regex" && test : != "$skipped_export"; then func_show_eval '$EGREP -e "$export_symbols_regex" "$export_symbols" > "${export_symbols}T"' func_show_eval '$MV "${export_symbols}T" "$export_symbols"' fi fi fi if test -n "$export_symbols" && test -n "$include_expsyms"; then tmp_export_symbols=$export_symbols test -n "$orig_export_symbols" && tmp_export_symbols=$orig_export_symbols $opt_dry_run || eval '$ECHO "$include_expsyms" | $SP2NL >> "$tmp_export_symbols"' fi if test : != "$skipped_export" && test -n "$orig_export_symbols"; then # The given exports_symbols file has to be filtered, so filter it. func_verbose "filter symbol list for '$libname.la' to tag DATA exports" # FIXME: $output_objdir/$libname.filter potentially contains lots of # 's' commands, which not all seds can handle. GNU sed should be fine # though. Also, the filter scales superlinearly with the number of # global variables. join(1) would be nice here, but unfortunately # isn't a blessed tool. $opt_dry_run || $SED -e '/[ ,]DATA/!d;s,\(.*\)\([ \,].*\),s|^\1$|\1\2|,' < $export_symbols > $output_objdir/$libname.filter func_append delfiles " $export_symbols $output_objdir/$libname.filter" export_symbols=$output_objdir/$libname.def $opt_dry_run || $SED -f $output_objdir/$libname.filter < $orig_export_symbols > $export_symbols fi tmp_deplibs= for test_deplib in $deplibs; do case " $convenience " in *" $test_deplib "*) ;; *) func_append tmp_deplibs " $test_deplib" ;; esac done deplibs=$tmp_deplibs if test -n "$convenience"; then if test -n "$whole_archive_flag_spec" && test yes = "$compiler_needs_object" && test -z "$libobjs"; then # extract the archives, so we have objects to list. # TODO: could optimize this to just extract one archive. whole_archive_flag_spec= fi if test -n "$whole_archive_flag_spec"; then save_libobjs=$libobjs eval libobjs=\"\$libobjs $whole_archive_flag_spec\" test "X$libobjs" = "X " && libobjs= else gentop=$output_objdir/${outputname}x func_append generated " $gentop" func_extract_archives $gentop $convenience func_append libobjs " $func_extract_archives_result" test "X$libobjs" = "X " && libobjs= fi fi if test yes = "$thread_safe" && test -n "$thread_safe_flag_spec"; then eval flag=\"$thread_safe_flag_spec\" func_append linker_flags " $flag" fi # Make a backup of the uninstalled library when relinking if test relink = "$opt_mode"; then $opt_dry_run || eval '(cd $output_objdir && $RM ${realname}U && $MV $realname ${realname}U)' || exit $? fi # Do each of the archive commands. if test yes = "$module" && test -n "$module_cmds"; then if test -n "$export_symbols" && test -n "$module_expsym_cmds"; then eval test_cmds=\"$module_expsym_cmds\" cmds=$module_expsym_cmds else eval test_cmds=\"$module_cmds\" cmds=$module_cmds fi else if test -n "$export_symbols" && test -n "$archive_expsym_cmds"; then eval test_cmds=\"$archive_expsym_cmds\" cmds=$archive_expsym_cmds else eval test_cmds=\"$archive_cmds\" cmds=$archive_cmds fi fi if test : != "$skipped_export" && func_len " $test_cmds" && len=$func_len_result && test "$len" -lt "$max_cmd_len" || test "$max_cmd_len" -le -1; then : else # The command line is too long to link in one step, link piecewise # or, if using GNU ld and skipped_export is not :, use a linker # script. # Save the value of $output and $libobjs because we want to # use them later. If we have whole_archive_flag_spec, we # want to use save_libobjs as it was before # whole_archive_flag_spec was expanded, because we can't # assume the linker understands whole_archive_flag_spec. # This may have to be revisited, in case too many # convenience libraries get linked in and end up exceeding # the spec. if test -z "$convenience" || test -z "$whole_archive_flag_spec"; then save_libobjs=$libobjs fi save_output=$output func_basename "$output" output_la=$func_basename_result # Clear the reloadable object creation command queue and # initialize k to one. test_cmds= concat_cmds= objlist= last_robj= k=1 if test -n "$save_libobjs" && test : != "$skipped_export" && test yes = "$with_gnu_ld"; then output=$output_objdir/$output_la.lnkscript func_verbose "creating GNU ld script: $output" echo 'INPUT (' > $output for obj in $save_libobjs do func_to_tool_file "$obj" $ECHO "$func_to_tool_file_result" >> $output done echo ')' >> $output func_append delfiles " $output" func_to_tool_file "$output" output=$func_to_tool_file_result elif test -n "$save_libobjs" && test : != "$skipped_export" && test -n "$file_list_spec"; then output=$output_objdir/$output_la.lnk func_verbose "creating linker input file list: $output" : > $output set x $save_libobjs shift firstobj= if test yes = "$compiler_needs_object"; then firstobj="$1 " shift fi for obj do func_to_tool_file "$obj" $ECHO "$func_to_tool_file_result" >> $output done func_append delfiles " $output" func_to_tool_file "$output" output=$firstobj\"$file_list_spec$func_to_tool_file_result\" else if test -n "$save_libobjs"; then func_verbose "creating reloadable object files..." output=$output_objdir/$output_la-$k.$objext eval test_cmds=\"$reload_cmds\" func_len " $test_cmds" len0=$func_len_result len=$len0 # Loop over the list of objects to be linked. for obj in $save_libobjs do func_len " $obj" func_arith $len + $func_len_result len=$func_arith_result if test -z "$objlist" || test "$len" -lt "$max_cmd_len"; then func_append objlist " $obj" else # The command $test_cmds is almost too long, add a # command to the queue. if test 1 -eq "$k"; then # The first file doesn't have a previous command to add. reload_objs=$objlist eval concat_cmds=\"$reload_cmds\" else # All subsequent reloadable object files will link in # the last one created. reload_objs="$objlist $last_robj" eval concat_cmds=\"\$concat_cmds~$reload_cmds~\$RM $last_robj\" fi last_robj=$output_objdir/$output_la-$k.$objext func_arith $k + 1 k=$func_arith_result output=$output_objdir/$output_la-$k.$objext objlist=" $obj" func_len " $last_robj" func_arith $len0 + $func_len_result len=$func_arith_result fi done # Handle the remaining objects by creating one last # reloadable object file. All subsequent reloadable object # files will link in the last one created. test -z "$concat_cmds" || concat_cmds=$concat_cmds~ reload_objs="$objlist $last_robj" eval concat_cmds=\"\$concat_cmds$reload_cmds\" if test -n "$last_robj"; then eval concat_cmds=\"\$concat_cmds~\$RM $last_robj\" fi func_append delfiles " $output" else output= fi ${skipped_export-false} && { func_verbose "generating symbol list for '$libname.la'" export_symbols=$output_objdir/$libname.exp $opt_dry_run || $RM $export_symbols libobjs=$output # Append the command to create the export file. test -z "$concat_cmds" || concat_cmds=$concat_cmds~ eval concat_cmds=\"\$concat_cmds$export_symbols_cmds\" if test -n "$last_robj"; then eval concat_cmds=\"\$concat_cmds~\$RM $last_robj\" fi } test -n "$save_libobjs" && func_verbose "creating a temporary reloadable object file: $output" # Loop through the commands generated above and execute them. save_ifs=$IFS; IFS='~' for cmd in $concat_cmds; do IFS=$save_ifs $opt_quiet || { func_quote_for_expand "$cmd" eval "func_echo $func_quote_for_expand_result" } $opt_dry_run || eval "$cmd" || { lt_exit=$? # Restore the uninstalled library and exit if test relink = "$opt_mode"; then ( cd "$output_objdir" && \ $RM "${realname}T" && \ $MV "${realname}U" "$realname" ) fi exit $lt_exit } done IFS=$save_ifs if test -n "$export_symbols_regex" && ${skipped_export-false}; then func_show_eval '$EGREP -e "$export_symbols_regex" "$export_symbols" > "${export_symbols}T"' func_show_eval '$MV "${export_symbols}T" "$export_symbols"' fi fi ${skipped_export-false} && { if test -n "$export_symbols" && test -n "$include_expsyms"; then tmp_export_symbols=$export_symbols test -n "$orig_export_symbols" && tmp_export_symbols=$orig_export_symbols $opt_dry_run || eval '$ECHO "$include_expsyms" | $SP2NL >> "$tmp_export_symbols"' fi if test -n "$orig_export_symbols"; then # The given exports_symbols file has to be filtered, so filter it. func_verbose "filter symbol list for '$libname.la' to tag DATA exports" # FIXME: $output_objdir/$libname.filter potentially contains lots of # 's' commands, which not all seds can handle. GNU sed should be fine # though. Also, the filter scales superlinearly with the number of # global variables. join(1) would be nice here, but unfortunately # isn't a blessed tool. $opt_dry_run || $SED -e '/[ ,]DATA/!d;s,\(.*\)\([ \,].*\),s|^\1$|\1\2|,' < $export_symbols > $output_objdir/$libname.filter func_append delfiles " $export_symbols $output_objdir/$libname.filter" export_symbols=$output_objdir/$libname.def $opt_dry_run || $SED -f $output_objdir/$libname.filter < $orig_export_symbols > $export_symbols fi } libobjs=$output # Restore the value of output. output=$save_output if test -n "$convenience" && test -n "$whole_archive_flag_spec"; then eval libobjs=\"\$libobjs $whole_archive_flag_spec\" test "X$libobjs" = "X " && libobjs= fi # Expand the library linking commands again to reset the # value of $libobjs for piecewise linking. # Do each of the archive commands. if test yes = "$module" && test -n "$module_cmds"; then if test -n "$export_symbols" && test -n "$module_expsym_cmds"; then cmds=$module_expsym_cmds else cmds=$module_cmds fi else if test -n "$export_symbols" && test -n "$archive_expsym_cmds"; then cmds=$archive_expsym_cmds else cmds=$archive_cmds fi fi fi if test -n "$delfiles"; then # Append the command to remove temporary files to $cmds. eval cmds=\"\$cmds~\$RM $delfiles\" fi # Add any objects from preloaded convenience libraries if test -n "$dlprefiles"; then gentop=$output_objdir/${outputname}x func_append generated " $gentop" func_extract_archives $gentop $dlprefiles func_append libobjs " $func_extract_archives_result" test "X$libobjs" = "X " && libobjs= fi save_ifs=$IFS; IFS='~' for cmd in $cmds; do IFS=$sp$nl eval cmd=\"$cmd\" IFS=$save_ifs $opt_quiet || { func_quote_for_expand "$cmd" eval "func_echo $func_quote_for_expand_result" } $opt_dry_run || eval "$cmd" || { lt_exit=$? # Restore the uninstalled library and exit if test relink = "$opt_mode"; then ( cd "$output_objdir" && \ $RM "${realname}T" && \ $MV "${realname}U" "$realname" ) fi exit $lt_exit } done IFS=$save_ifs # Restore the uninstalled library and exit if test relink = "$opt_mode"; then $opt_dry_run || eval '(cd $output_objdir && $RM ${realname}T && $MV $realname ${realname}T && $MV ${realname}U $realname)' || exit $? if test -n "$convenience"; then if test -z "$whole_archive_flag_spec"; then func_show_eval '${RM}r "$gentop"' fi fi exit $EXIT_SUCCESS fi # Create links to the real library. for linkname in $linknames; do if test "$realname" != "$linkname"; then func_show_eval '(cd "$output_objdir" && $RM "$linkname" && $LN_S "$realname" "$linkname")' 'exit $?' fi done # If -module or -export-dynamic was specified, set the dlname. if test yes = "$module" || test yes = "$export_dynamic"; then # On all known operating systems, these are identical. dlname=$soname fi fi ;; obj) if test -n "$dlfiles$dlprefiles" || test no != "$dlself"; then func_warning "'-dlopen' is ignored for objects" fi case " $deplibs" in *\ -l* | *\ -L*) func_warning "'-l' and '-L' are ignored for objects" ;; esac test -n "$rpath" && \ func_warning "'-rpath' is ignored for objects" test -n "$xrpath" && \ func_warning "'-R' is ignored for objects" test -n "$vinfo" && \ func_warning "'-version-info' is ignored for objects" test -n "$release" && \ func_warning "'-release' is ignored for objects" case $output in *.lo) test -n "$objs$old_deplibs" && \ func_fatal_error "cannot build library object '$output' from non-libtool objects" libobj=$output func_lo2o "$libobj" obj=$func_lo2o_result ;; *) libobj= obj=$output ;; esac # Delete the old objects. $opt_dry_run || $RM $obj $libobj # Objects from convenience libraries. This assumes # single-version convenience libraries. Whenever we create # different ones for PIC/non-PIC, this we'll have to duplicate # the extraction. reload_conv_objs= gentop= # if reload_cmds runs $LD directly, get rid of -Wl from # whole_archive_flag_spec and hope we can get by with turning comma # into space. case $reload_cmds in *\$LD[\ \$]*) wl= ;; esac if test -n "$convenience"; then if test -n "$whole_archive_flag_spec"; then eval tmp_whole_archive_flags=\"$whole_archive_flag_spec\" test -n "$wl" || tmp_whole_archive_flags=`$ECHO "$tmp_whole_archive_flags" | $SED 's|,| |g'` reload_conv_objs=$reload_objs\ $tmp_whole_archive_flags else gentop=$output_objdir/${obj}x func_append generated " $gentop" func_extract_archives $gentop $convenience reload_conv_objs="$reload_objs $func_extract_archives_result" fi fi # If we're not building shared, we need to use non_pic_objs test yes = "$build_libtool_libs" || libobjs=$non_pic_objects # Create the old-style object. reload_objs=$objs$old_deplibs' '`$ECHO "$libobjs" | $SP2NL | $SED "/\.$libext$/d; /\.lib$/d; $lo2o" | $NL2SP`' '$reload_conv_objs output=$obj func_execute_cmds "$reload_cmds" 'exit $?' # Exit if we aren't doing a library object file. if test -z "$libobj"; then if test -n "$gentop"; then func_show_eval '${RM}r "$gentop"' fi exit $EXIT_SUCCESS fi test yes = "$build_libtool_libs" || { if test -n "$gentop"; then func_show_eval '${RM}r "$gentop"' fi # Create an invalid libtool object if no PIC, so that we don't # accidentally link it into a program. # $show "echo timestamp > $libobj" # $opt_dry_run || eval "echo timestamp > $libobj" || exit $? exit $EXIT_SUCCESS } if test -n "$pic_flag" || test default != "$pic_mode"; then # Only do commands if we really have different PIC objects. reload_objs="$libobjs $reload_conv_objs" output=$libobj func_execute_cmds "$reload_cmds" 'exit $?' fi if test -n "$gentop"; then func_show_eval '${RM}r "$gentop"' fi exit $EXIT_SUCCESS ;; prog) case $host in *cygwin*) func_stripname '' '.exe' "$output" output=$func_stripname_result.exe;; esac test -n "$vinfo" && \ func_warning "'-version-info' is ignored for programs" test -n "$release" && \ func_warning "'-release' is ignored for programs" $preload \ && test unknown,unknown,unknown = "$dlopen_support,$dlopen_self,$dlopen_self_static" \ && func_warning "'LT_INIT([dlopen])' not used. Assuming no dlopen support." case $host in *-*-rhapsody* | *-*-darwin1.[012]) # On Rhapsody replace the C library is the System framework compile_deplibs=`$ECHO " $compile_deplibs" | $SED 's/ -lc / System.ltframework /'` finalize_deplibs=`$ECHO " $finalize_deplibs" | $SED 's/ -lc / System.ltframework /'` ;; esac case $host in *-*-darwin*) # Don't allow lazy linking, it breaks C++ global constructors # But is supposedly fixed on 10.4 or later (yay!). if test CXX = "$tagname"; then case ${MACOSX_DEPLOYMENT_TARGET-10.0} in 10.[0123]) func_append compile_command " $wl-bind_at_load" func_append finalize_command " $wl-bind_at_load" ;; esac fi # Time to change all our "foo.ltframework" stuff back to "-framework foo" compile_deplibs=`$ECHO " $compile_deplibs" | $SED 's% \([^ $]*\).ltframework% -framework \1%g'` finalize_deplibs=`$ECHO " $finalize_deplibs" | $SED 's% \([^ $]*\).ltframework% -framework \1%g'` ;; esac # move library search paths that coincide with paths to not yet # installed libraries to the beginning of the library search list new_libs= for path in $notinst_path; do case " $new_libs " in *" -L$path/$objdir "*) ;; *) case " $compile_deplibs " in *" -L$path/$objdir "*) func_append new_libs " -L$path/$objdir" ;; esac ;; esac done for deplib in $compile_deplibs; do case $deplib in -L*) case " $new_libs " in *" $deplib "*) ;; *) func_append new_libs " $deplib" ;; esac ;; *) func_append new_libs " $deplib" ;; esac done compile_deplibs=$new_libs func_append compile_command " $compile_deplibs" func_append finalize_command " $finalize_deplibs" if test -n "$rpath$xrpath"; then # If the user specified any rpath flags, then add them. for libdir in $rpath $xrpath; do # This is the magic to use -rpath. case "$finalize_rpath " in *" $libdir "*) ;; *) func_append finalize_rpath " $libdir" ;; esac done fi # Now hardcode the library paths rpath= hardcode_libdirs= for libdir in $compile_rpath $finalize_rpath; do if test -n "$hardcode_libdir_flag_spec"; then if test -n "$hardcode_libdir_separator"; then if test -z "$hardcode_libdirs"; then hardcode_libdirs=$libdir else # Just accumulate the unique libdirs. case $hardcode_libdir_separator$hardcode_libdirs$hardcode_libdir_separator in *"$hardcode_libdir_separator$libdir$hardcode_libdir_separator"*) ;; *) func_append hardcode_libdirs "$hardcode_libdir_separator$libdir" ;; esac fi else eval flag=\"$hardcode_libdir_flag_spec\" func_append rpath " $flag" fi elif test -n "$runpath_var"; then case "$perm_rpath " in *" $libdir "*) ;; *) func_append perm_rpath " $libdir" ;; esac fi case $host in *-*-cygwin* | *-*-mingw* | *-*-pw32* | *-*-os2* | *-cegcc*) testbindir=`$ECHO "$libdir" | $SED -e 's*/lib$*/bin*'` case :$dllsearchpath: in *":$libdir:"*) ;; ::) dllsearchpath=$libdir;; *) func_append dllsearchpath ":$libdir";; esac case :$dllsearchpath: in *":$testbindir:"*) ;; ::) dllsearchpath=$testbindir;; *) func_append dllsearchpath ":$testbindir";; esac ;; esac done # Substitute the hardcoded libdirs into the rpath. if test -n "$hardcode_libdir_separator" && test -n "$hardcode_libdirs"; then libdir=$hardcode_libdirs eval rpath=\" $hardcode_libdir_flag_spec\" fi compile_rpath=$rpath rpath= hardcode_libdirs= for libdir in $finalize_rpath; do if test -n "$hardcode_libdir_flag_spec"; then if test -n "$hardcode_libdir_separator"; then if test -z "$hardcode_libdirs"; then hardcode_libdirs=$libdir else # Just accumulate the unique libdirs. case $hardcode_libdir_separator$hardcode_libdirs$hardcode_libdir_separator in *"$hardcode_libdir_separator$libdir$hardcode_libdir_separator"*) ;; *) func_append hardcode_libdirs "$hardcode_libdir_separator$libdir" ;; esac fi else eval flag=\"$hardcode_libdir_flag_spec\" func_append rpath " $flag" fi elif test -n "$runpath_var"; then case "$finalize_perm_rpath " in *" $libdir "*) ;; *) func_append finalize_perm_rpath " $libdir" ;; esac fi done # Substitute the hardcoded libdirs into the rpath. if test -n "$hardcode_libdir_separator" && test -n "$hardcode_libdirs"; then libdir=$hardcode_libdirs eval rpath=\" $hardcode_libdir_flag_spec\" fi finalize_rpath=$rpath if test -n "$libobjs" && test yes = "$build_old_libs"; then # Transform all the library objects into standard objects. compile_command=`$ECHO "$compile_command" | $SP2NL | $SED "$lo2o" | $NL2SP` finalize_command=`$ECHO "$finalize_command" | $SP2NL | $SED "$lo2o" | $NL2SP` fi func_generate_dlsyms "$outputname" "@PROGRAM@" false # template prelinking step if test -n "$prelink_cmds"; then func_execute_cmds "$prelink_cmds" 'exit $?' fi wrappers_required=: case $host in *cegcc* | *mingw32ce*) # Disable wrappers for cegcc and mingw32ce hosts, we are cross compiling anyway. wrappers_required=false ;; *cygwin* | *mingw* ) test yes = "$build_libtool_libs" || wrappers_required=false ;; *) if test no = "$need_relink" || test yes != "$build_libtool_libs"; then wrappers_required=false fi ;; esac $wrappers_required || { # Replace the output file specification. compile_command=`$ECHO "$compile_command" | $SED 's%@OUTPUT@%'"$output"'%g'` link_command=$compile_command$compile_rpath # We have no uninstalled library dependencies, so finalize right now. exit_status=0 func_show_eval "$link_command" 'exit_status=$?' if test -n "$postlink_cmds"; then func_to_tool_file "$output" postlink_cmds=`func_echo_all "$postlink_cmds" | $SED -e 's%@OUTPUT@%'"$output"'%g' -e 's%@TOOL_OUTPUT@%'"$func_to_tool_file_result"'%g'` func_execute_cmds "$postlink_cmds" 'exit $?' fi # Delete the generated files. if test -f "$output_objdir/${outputname}S.$objext"; then func_show_eval '$RM "$output_objdir/${outputname}S.$objext"' fi exit $exit_status } if test -n "$compile_shlibpath$finalize_shlibpath"; then compile_command="$shlibpath_var=\"$compile_shlibpath$finalize_shlibpath\$$shlibpath_var\" $compile_command" fi if test -n "$finalize_shlibpath"; then finalize_command="$shlibpath_var=\"$finalize_shlibpath\$$shlibpath_var\" $finalize_command" fi compile_var= finalize_var= if test -n "$runpath_var"; then if test -n "$perm_rpath"; then # We should set the runpath_var. rpath= for dir in $perm_rpath; do func_append rpath "$dir:" done compile_var="$runpath_var=\"$rpath\$$runpath_var\" " fi if test -n "$finalize_perm_rpath"; then # We should set the runpath_var. rpath= for dir in $finalize_perm_rpath; do func_append rpath "$dir:" done finalize_var="$runpath_var=\"$rpath\$$runpath_var\" " fi fi if test yes = "$no_install"; then # We don't need to create a wrapper script. link_command=$compile_var$compile_command$compile_rpath # Replace the output file specification. link_command=`$ECHO "$link_command" | $SED 's%@OUTPUT@%'"$output"'%g'` # Delete the old output file. $opt_dry_run || $RM $output # Link the executable and exit func_show_eval "$link_command" 'exit $?' if test -n "$postlink_cmds"; then func_to_tool_file "$output" postlink_cmds=`func_echo_all "$postlink_cmds" | $SED -e 's%@OUTPUT@%'"$output"'%g' -e 's%@TOOL_OUTPUT@%'"$func_to_tool_file_result"'%g'` func_execute_cmds "$postlink_cmds" 'exit $?' fi exit $EXIT_SUCCESS fi case $hardcode_action,$fast_install in relink,*) # Fast installation is not supported link_command=$compile_var$compile_command$compile_rpath relink_command=$finalize_var$finalize_command$finalize_rpath func_warning "this platform does not like uninstalled shared libraries" func_warning "'$output' will be relinked during installation" ;; *,yes) link_command=$finalize_var$compile_command$finalize_rpath relink_command=`$ECHO "$compile_var$compile_command$compile_rpath" | $SED 's%@OUTPUT@%\$progdir/\$file%g'` ;; *,no) link_command=$compile_var$compile_command$compile_rpath relink_command=$finalize_var$finalize_command$finalize_rpath ;; *,needless) link_command=$finalize_var$compile_command$finalize_rpath relink_command= ;; esac # Replace the output file specification. link_command=`$ECHO "$link_command" | $SED 's%@OUTPUT@%'"$output_objdir/$outputname"'%g'` # Delete the old output files. $opt_dry_run || $RM $output $output_objdir/$outputname $output_objdir/lt-$outputname func_show_eval "$link_command" 'exit $?' if test -n "$postlink_cmds"; then func_to_tool_file "$output_objdir/$outputname" postlink_cmds=`func_echo_all "$postlink_cmds" | $SED -e 's%@OUTPUT@%'"$output_objdir/$outputname"'%g' -e 's%@TOOL_OUTPUT@%'"$func_to_tool_file_result"'%g'` func_execute_cmds "$postlink_cmds" 'exit $?' fi # Now create the wrapper script. func_verbose "creating $output" # Quote the relink command for shipping. if test -n "$relink_command"; then # Preserve any variables that may affect compiler behavior for var in $variables_saved_for_relink; do if eval test -z \"\${$var+set}\"; then relink_command="{ test -z \"\${$var+set}\" || $lt_unset $var || { $var=; export $var; }; }; $relink_command" elif eval var_value=\$$var; test -z "$var_value"; then relink_command="$var=; export $var; $relink_command" else func_quote_for_eval "$var_value" relink_command="$var=$func_quote_for_eval_result; export $var; $relink_command" fi done relink_command="(cd `pwd`; $relink_command)" relink_command=`$ECHO "$relink_command" | $SED "$sed_quote_subst"` fi # Only actually do things if not in dry run mode. $opt_dry_run || { # win32 will think the script is a binary if it has # a .exe suffix, so we strip it off here. case $output in *.exe) func_stripname '' '.exe' "$output" output=$func_stripname_result ;; esac # test for cygwin because mv fails w/o .exe extensions case $host in *cygwin*) exeext=.exe func_stripname '' '.exe' "$outputname" outputname=$func_stripname_result ;; *) exeext= ;; esac case $host in *cygwin* | *mingw* ) func_dirname_and_basename "$output" "" "." output_name=$func_basename_result output_path=$func_dirname_result cwrappersource=$output_path/$objdir/lt-$output_name.c cwrapper=$output_path/$output_name.exe $RM $cwrappersource $cwrapper trap "$RM $cwrappersource $cwrapper; exit $EXIT_FAILURE" 1 2 15 func_emit_cwrapperexe_src > $cwrappersource # The wrapper executable is built using the $host compiler, # because it contains $host paths and files. If cross- # compiling, it, like the target executable, must be # executed on the $host or under an emulation environment. $opt_dry_run || { $LTCC $LTCFLAGS -o $cwrapper $cwrappersource $STRIP $cwrapper } # Now, create the wrapper script for func_source use: func_ltwrapper_scriptname $cwrapper $RM $func_ltwrapper_scriptname_result trap "$RM $func_ltwrapper_scriptname_result; exit $EXIT_FAILURE" 1 2 15 $opt_dry_run || { # note: this script will not be executed, so do not chmod. if test "x$build" = "x$host"; then $cwrapper --lt-dump-script > $func_ltwrapper_scriptname_result else func_emit_wrapper no > $func_ltwrapper_scriptname_result fi } ;; * ) $RM $output trap "$RM $output; exit $EXIT_FAILURE" 1 2 15 func_emit_wrapper no > $output chmod +x $output ;; esac } exit $EXIT_SUCCESS ;; esac # See if we need to build an old-fashioned archive. for oldlib in $oldlibs; do case $build_libtool_libs in convenience) oldobjs="$libobjs_save $symfileobj" addlibs=$convenience build_libtool_libs=no ;; module) oldobjs=$libobjs_save addlibs=$old_convenience build_libtool_libs=no ;; *) oldobjs="$old_deplibs $non_pic_objects" $preload && test -f "$symfileobj" \ && func_append oldobjs " $symfileobj" addlibs=$old_convenience ;; esac if test -n "$addlibs"; then gentop=$output_objdir/${outputname}x func_append generated " $gentop" func_extract_archives $gentop $addlibs func_append oldobjs " $func_extract_archives_result" fi # Do each command in the archive commands. if test -n "$old_archive_from_new_cmds" && test yes = "$build_libtool_libs"; then cmds=$old_archive_from_new_cmds else # Add any objects from preloaded convenience libraries if test -n "$dlprefiles"; then gentop=$output_objdir/${outputname}x func_append generated " $gentop" func_extract_archives $gentop $dlprefiles func_append oldobjs " $func_extract_archives_result" fi # POSIX demands no paths to be encoded in archives. We have # to avoid creating archives with duplicate basenames if we # might have to extract them afterwards, e.g., when creating a # static archive out of a convenience library, or when linking # the entirety of a libtool archive into another (currently # not supported by libtool). if (for obj in $oldobjs do func_basename "$obj" $ECHO "$func_basename_result" done | sort | sort -uc >/dev/null 2>&1); then : else echo "copying selected object files to avoid basename conflicts..." gentop=$output_objdir/${outputname}x func_append generated " $gentop" func_mkdir_p "$gentop" save_oldobjs=$oldobjs oldobjs= counter=1 for obj in $save_oldobjs do func_basename "$obj" objbase=$func_basename_result case " $oldobjs " in " ") oldobjs=$obj ;; *[\ /]"$objbase "*) while :; do # Make sure we don't pick an alternate name that also # overlaps. newobj=lt$counter-$objbase func_arith $counter + 1 counter=$func_arith_result case " $oldobjs " in *[\ /]"$newobj "*) ;; *) if test ! -f "$gentop/$newobj"; then break; fi ;; esac done func_show_eval "ln $obj $gentop/$newobj || cp $obj $gentop/$newobj" func_append oldobjs " $gentop/$newobj" ;; *) func_append oldobjs " $obj" ;; esac done fi func_to_tool_file "$oldlib" func_convert_file_msys_to_w32 tool_oldlib=$func_to_tool_file_result eval cmds=\"$old_archive_cmds\" func_len " $cmds" len=$func_len_result if test "$len" -lt "$max_cmd_len" || test "$max_cmd_len" -le -1; then cmds=$old_archive_cmds elif test -n "$archiver_list_spec"; then func_verbose "using command file archive linking..." for obj in $oldobjs do func_to_tool_file "$obj" $ECHO "$func_to_tool_file_result" done > $output_objdir/$libname.libcmd func_to_tool_file "$output_objdir/$libname.libcmd" oldobjs=" $archiver_list_spec$func_to_tool_file_result" cmds=$old_archive_cmds else # the command line is too long to link in one step, link in parts func_verbose "using piecewise archive linking..." save_RANLIB=$RANLIB RANLIB=: objlist= concat_cmds= save_oldobjs=$oldobjs oldobjs= # Is there a better way of finding the last object in the list? for obj in $save_oldobjs do last_oldobj=$obj done eval test_cmds=\"$old_archive_cmds\" func_len " $test_cmds" len0=$func_len_result len=$len0 for obj in $save_oldobjs do func_len " $obj" func_arith $len + $func_len_result len=$func_arith_result func_append objlist " $obj" if test "$len" -lt "$max_cmd_len"; then : else # the above command should be used before it gets too long oldobjs=$objlist if test "$obj" = "$last_oldobj"; then RANLIB=$save_RANLIB fi test -z "$concat_cmds" || concat_cmds=$concat_cmds~ eval concat_cmds=\"\$concat_cmds$old_archive_cmds\" objlist= len=$len0 fi done RANLIB=$save_RANLIB oldobjs=$objlist if test -z "$oldobjs"; then eval cmds=\"\$concat_cmds\" else eval cmds=\"\$concat_cmds~\$old_archive_cmds\" fi fi fi func_execute_cmds "$cmds" 'exit $?' done test -n "$generated" && \ func_show_eval "${RM}r$generated" # Now create the libtool archive. case $output in *.la) old_library= test yes = "$build_old_libs" && old_library=$libname.$libext func_verbose "creating $output" # Preserve any variables that may affect compiler behavior for var in $variables_saved_for_relink; do if eval test -z \"\${$var+set}\"; then relink_command="{ test -z \"\${$var+set}\" || $lt_unset $var || { $var=; export $var; }; }; $relink_command" elif eval var_value=\$$var; test -z "$var_value"; then relink_command="$var=; export $var; $relink_command" else func_quote_for_eval "$var_value" relink_command="$var=$func_quote_for_eval_result; export $var; $relink_command" fi done # Quote the link command for shipping. relink_command="(cd `pwd`; $SHELL \"$progpath\" $preserve_args --mode=relink $libtool_args @inst_prefix_dir@)" relink_command=`$ECHO "$relink_command" | $SED "$sed_quote_subst"` if test yes = "$hardcode_automatic"; then relink_command= fi # Only create the output if not a dry run. $opt_dry_run || { for installed in no yes; do if test yes = "$installed"; then if test -z "$install_libdir"; then break fi output=$output_objdir/${outputname}i # Replace all uninstalled libtool libraries with the installed ones newdependency_libs= for deplib in $dependency_libs; do case $deplib in *.la) func_basename "$deplib" name=$func_basename_result func_resolve_sysroot "$deplib" eval libdir=`$SED -n -e 's/^libdir=\(.*\)$/\1/p' $func_resolve_sysroot_result` test -z "$libdir" && \ func_fatal_error "'$deplib' is not a valid libtool archive" func_append newdependency_libs " ${lt_sysroot:+=}$libdir/$name" ;; -L*) func_stripname -L '' "$deplib" func_replace_sysroot "$func_stripname_result" func_append newdependency_libs " -L$func_replace_sysroot_result" ;; -R*) func_stripname -R '' "$deplib" func_replace_sysroot "$func_stripname_result" func_append newdependency_libs " -R$func_replace_sysroot_result" ;; *) func_append newdependency_libs " $deplib" ;; esac done dependency_libs=$newdependency_libs newdlfiles= for lib in $dlfiles; do case $lib in *.la) func_basename "$lib" name=$func_basename_result eval libdir=`$SED -n -e 's/^libdir=\(.*\)$/\1/p' $lib` test -z "$libdir" && \ func_fatal_error "'$lib' is not a valid libtool archive" func_append newdlfiles " ${lt_sysroot:+=}$libdir/$name" ;; *) func_append newdlfiles " $lib" ;; esac done dlfiles=$newdlfiles newdlprefiles= for lib in $dlprefiles; do case $lib in *.la) # Only pass preopened files to the pseudo-archive (for # eventual linking with the app. that links it) if we # didn't already link the preopened objects directly into # the library: func_basename "$lib" name=$func_basename_result eval libdir=`$SED -n -e 's/^libdir=\(.*\)$/\1/p' $lib` test -z "$libdir" && \ func_fatal_error "'$lib' is not a valid libtool archive" func_append newdlprefiles " ${lt_sysroot:+=}$libdir/$name" ;; esac done dlprefiles=$newdlprefiles else newdlfiles= for lib in $dlfiles; do case $lib in [\\/]* | [A-Za-z]:[\\/]*) abs=$lib ;; *) abs=`pwd`"/$lib" ;; esac func_append newdlfiles " $abs" done dlfiles=$newdlfiles newdlprefiles= for lib in $dlprefiles; do case $lib in [\\/]* | [A-Za-z]:[\\/]*) abs=$lib ;; *) abs=`pwd`"/$lib" ;; esac func_append newdlprefiles " $abs" done dlprefiles=$newdlprefiles fi $RM $output # place dlname in correct position for cygwin # In fact, it would be nice if we could use this code for all target # systems that can't hard-code library paths into their executables # and that have no shared library path variable independent of PATH, # but it turns out we can't easily determine that from inspecting # libtool variables, so we have to hard-code the OSs to which it # applies here; at the moment, that means platforms that use the PE # object format with DLL files. See the long comment at the top of # tests/bindir.at for full details. tdlname=$dlname case $host,$output,$installed,$module,$dlname in *cygwin*,*lai,yes,no,*.dll | *mingw*,*lai,yes,no,*.dll | *cegcc*,*lai,yes,no,*.dll) # If a -bindir argument was supplied, place the dll there. if test -n "$bindir"; then func_relative_path "$install_libdir" "$bindir" tdlname=$func_relative_path_result/$dlname else # Otherwise fall back on heuristic. tdlname=../bin/$dlname fi ;; esac $ECHO > $output "\ # $outputname - a libtool library file # Generated by $PROGRAM (GNU $PACKAGE) $VERSION # # Please DO NOT delete this file! # It is necessary for linking the library. # The name that we can dlopen(3). dlname='$tdlname' # Names of this library. library_names='$library_names' # The name of the static archive. old_library='$old_library' # Linker flags that cannot go in dependency_libs. inherited_linker_flags='$new_inherited_linker_flags' # Libraries that this one depends upon. dependency_libs='$dependency_libs' # Names of additional weak libraries provided by this library weak_library_names='$weak_libs' # Version information for $libname. current=$current age=$age revision=$revision # Is this an already installed library? 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Given conflicting # choices, we go for a static library, that is the most portable, # since we can't tell whether shared libraries were disabled because # the user asked for that or because the platform doesn't support # them. This is particularly important on AIX, because we don't # support having both static and shared libraries enabled at the same # time on that platform, so we default to a shared-only configuration. # If a disable-shared tag is given, we'll fallback to a static-only # configuration. 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See the GNU # General Public License for more details. # # You should have received a copy of the GNU General Public License # along with this program; if not, see . # # As a special exception to the GNU General Public License, if you # distribute this file as part of a program that contains a # configuration script generated by Autoconf, you may include it under # the same distribution terms that you use for the rest of that # program. This Exception is an additional permission under section 7 # of the GNU General Public License, version 3 ("GPLv3"). # # Originally written by Per Bothner; maintained since 2000 by Ben Elliston. # # You can get the latest version of this script from: # http://git.savannah.gnu.org/gitweb/?p=config.git;a=blob_plain;f=config.guess # # Please send patches to . me=`echo "$0" | sed -e 's,.*/,,'` usage="\ Usage: $0 [OPTION] Output the configuration name of the system \`$me' is run on. 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Hard to guess exactly what SunOS6 will be like, but # it's likely to be more like Solaris than SunOS4. echo sparc-sun-solaris3`echo ${UNAME_RELEASE}|sed -e 's/[^.]*//'` exit ;; sun4*:SunOS:*:*) case "`/usr/bin/arch -k`" in Series*|S4*) UNAME_RELEASE=`uname -v` ;; esac # Japanese Language versions have a version number like `4.1.3-JL'. echo sparc-sun-sunos`echo ${UNAME_RELEASE}|sed -e 's/-/_/'` exit ;; sun3*:SunOS:*:*) echo m68k-sun-sunos${UNAME_RELEASE} exit ;; sun*:*:4.2BSD:*) UNAME_RELEASE=`(sed 1q /etc/motd | awk '{print substr($5,1,3)}') 2>/dev/null` test "x${UNAME_RELEASE}" = x && UNAME_RELEASE=3 case "`/bin/arch`" in sun3) echo m68k-sun-sunos${UNAME_RELEASE} ;; sun4) echo sparc-sun-sunos${UNAME_RELEASE} ;; esac exit ;; aushp:SunOS:*:*) echo sparc-auspex-sunos${UNAME_RELEASE} exit ;; # The situation for MiNT is a little confusing. The machine name # can be virtually everything (everything which is not # "atarist" or "atariste" at least should have a processor # > m68000). The system name ranges from "MiNT" over "FreeMiNT" # to the lowercase version "mint" (or "freemint"). Finally # the system name "TOS" denotes a system which is actually not # MiNT. But MiNT is downward compatible to TOS, so this should # be no problem. atarist[e]:*MiNT:*:* | atarist[e]:*mint:*:* | atarist[e]:*TOS:*:*) echo m68k-atari-mint${UNAME_RELEASE} exit ;; atari*:*MiNT:*:* | atari*:*mint:*:* | atarist[e]:*TOS:*:*) echo m68k-atari-mint${UNAME_RELEASE} exit ;; *falcon*:*MiNT:*:* | *falcon*:*mint:*:* | *falcon*:*TOS:*:*) echo m68k-atari-mint${UNAME_RELEASE} exit ;; milan*:*MiNT:*:* | milan*:*mint:*:* | *milan*:*TOS:*:*) echo m68k-milan-mint${UNAME_RELEASE} exit ;; hades*:*MiNT:*:* | hades*:*mint:*:* | *hades*:*TOS:*:*) echo m68k-hades-mint${UNAME_RELEASE} exit ;; *:*MiNT:*:* | *:*mint:*:* | *:*TOS:*:*) echo m68k-unknown-mint${UNAME_RELEASE} exit ;; m68k:machten:*:*) echo m68k-apple-machten${UNAME_RELEASE} exit ;; powerpc:machten:*:*) echo powerpc-apple-machten${UNAME_RELEASE} exit ;; RISC*:Mach:*:*) echo mips-dec-mach_bsd4.3 exit ;; RISC*:ULTRIX:*:*) echo mips-dec-ultrix${UNAME_RELEASE} exit ;; VAX*:ULTRIX*:*:*) echo vax-dec-ultrix${UNAME_RELEASE} exit ;; 2020:CLIX:*:* | 2430:CLIX:*:*) echo clipper-intergraph-clix${UNAME_RELEASE} exit ;; mips:*:*:UMIPS | mips:*:*:RISCos) eval $set_cc_for_build sed 's/^ //' << EOF >$dummy.c #ifdef __cplusplus #include /* for printf() prototype */ int main (int argc, char *argv[]) { #else int main (argc, argv) int argc; char *argv[]; { #endif #if defined (host_mips) && defined (MIPSEB) #if defined (SYSTYPE_SYSV) printf ("mips-mips-riscos%ssysv\n", argv[1]); exit (0); #endif #if defined (SYSTYPE_SVR4) printf ("mips-mips-riscos%ssvr4\n", argv[1]); exit (0); #endif #if defined (SYSTYPE_BSD43) || defined(SYSTYPE_BSD) printf ("mips-mips-riscos%sbsd\n", argv[1]); exit (0); #endif #endif exit (-1); } EOF $CC_FOR_BUILD -o $dummy $dummy.c && dummyarg=`echo "${UNAME_RELEASE}" | sed -n 's/\([0-9]*\).*/\1/p'` && SYSTEM_NAME=`$dummy $dummyarg` && { echo "$SYSTEM_NAME"; exit; } echo mips-mips-riscos${UNAME_RELEASE} exit ;; Motorola:PowerMAX_OS:*:*) echo powerpc-motorola-powermax exit ;; Motorola:*:4.3:PL8-*) echo powerpc-harris-powermax exit ;; Night_Hawk:*:*:PowerMAX_OS | Synergy:PowerMAX_OS:*:*) echo powerpc-harris-powermax exit ;; Night_Hawk:Power_UNIX:*:*) echo powerpc-harris-powerunix exit ;; m88k:CX/UX:7*:*) echo m88k-harris-cxux7 exit ;; m88k:*:4*:R4*) echo m88k-motorola-sysv4 exit ;; m88k:*:3*:R3*) echo m88k-motorola-sysv3 exit ;; AViiON:dgux:*:*) # DG/UX returns AViiON for all architectures UNAME_PROCESSOR=`/usr/bin/uname -p` if [ $UNAME_PROCESSOR = mc88100 ] || [ $UNAME_PROCESSOR = mc88110 ] then if [ ${TARGET_BINARY_INTERFACE}x = m88kdguxelfx ] || \ [ ${TARGET_BINARY_INTERFACE}x = x ] then echo m88k-dg-dgux${UNAME_RELEASE} else echo m88k-dg-dguxbcs${UNAME_RELEASE} fi else echo i586-dg-dgux${UNAME_RELEASE} fi exit ;; M88*:DolphinOS:*:*) # DolphinOS (SVR3) echo m88k-dolphin-sysv3 exit ;; M88*:*:R3*:*) # Delta 88k system running SVR3 echo m88k-motorola-sysv3 exit ;; XD88*:*:*:*) # Tektronix XD88 system running UTekV (SVR3) echo m88k-tektronix-sysv3 exit ;; Tek43[0-9][0-9]:UTek:*:*) # Tektronix 4300 system running UTek (BSD) echo m68k-tektronix-bsd exit ;; *:IRIX*:*:*) echo mips-sgi-irix`echo ${UNAME_RELEASE}|sed -e 's/-/_/g'` exit ;; ????????:AIX?:[12].1:2) # AIX 2.2.1 or AIX 2.1.1 is RT/PC AIX. echo romp-ibm-aix # uname -m gives an 8 hex-code CPU id exit ;; # Note that: echo "'`uname -s`'" gives 'AIX ' i*86:AIX:*:*) echo i386-ibm-aix exit ;; ia64:AIX:*:*) if [ -x /usr/bin/oslevel ] ; then IBM_REV=`/usr/bin/oslevel` else IBM_REV=${UNAME_VERSION}.${UNAME_RELEASE} fi echo ${UNAME_MACHINE}-ibm-aix${IBM_REV} exit ;; *:AIX:2:3) if grep bos325 /usr/include/stdio.h >/dev/null 2>&1; then eval $set_cc_for_build sed 's/^ //' << EOF >$dummy.c #include main() { if (!__power_pc()) exit(1); puts("powerpc-ibm-aix3.2.5"); exit(0); } EOF if $CC_FOR_BUILD -o $dummy $dummy.c && SYSTEM_NAME=`$dummy` then echo "$SYSTEM_NAME" else echo rs6000-ibm-aix3.2.5 fi elif grep bos324 /usr/include/stdio.h >/dev/null 2>&1; then echo rs6000-ibm-aix3.2.4 else echo rs6000-ibm-aix3.2 fi exit ;; *:AIX:*:[4567]) IBM_CPU_ID=`/usr/sbin/lsdev -C -c processor -S available | sed 1q | awk '{ print $1 }'` if /usr/sbin/lsattr -El ${IBM_CPU_ID} | grep ' POWER' >/dev/null 2>&1; then IBM_ARCH=rs6000 else IBM_ARCH=powerpc fi if [ -x /usr/bin/lslpp ] ; then IBM_REV=`/usr/bin/lslpp -Lqc bos.rte.libc | awk -F: '{ print $3 }' | sed s/[0-9]*$/0/` else IBM_REV=${UNAME_VERSION}.${UNAME_RELEASE} fi echo ${IBM_ARCH}-ibm-aix${IBM_REV} exit ;; *:AIX:*:*) echo rs6000-ibm-aix exit ;; ibmrt:4.4BSD:*|romp-ibm:BSD:*) echo romp-ibm-bsd4.4 exit ;; ibmrt:*BSD:*|romp-ibm:BSD:*) # covers RT/PC BSD and echo romp-ibm-bsd${UNAME_RELEASE} # 4.3 with uname added to exit ;; # report: romp-ibm BSD 4.3 *:BOSX:*:*) echo rs6000-bull-bosx exit ;; DPX/2?00:B.O.S.:*:*) echo m68k-bull-sysv3 exit ;; 9000/[34]??:4.3bsd:1.*:*) echo m68k-hp-bsd exit ;; hp300:4.4BSD:*:* | 9000/[34]??:4.3bsd:2.*:*) echo m68k-hp-bsd4.4 exit ;; 9000/[34678]??:HP-UX:*:*) HPUX_REV=`echo ${UNAME_RELEASE}|sed -e 's/[^.]*.[0B]*//'` case "${UNAME_MACHINE}" in 9000/31? ) HP_ARCH=m68000 ;; 9000/[34]?? ) HP_ARCH=m68k ;; 9000/[678][0-9][0-9]) if [ -x /usr/bin/getconf ]; then sc_cpu_version=`/usr/bin/getconf SC_CPU_VERSION 2>/dev/null` sc_kernel_bits=`/usr/bin/getconf SC_KERNEL_BITS 2>/dev/null` case "${sc_cpu_version}" in 523) HP_ARCH=hppa1.0 ;; # CPU_PA_RISC1_0 528) HP_ARCH=hppa1.1 ;; # CPU_PA_RISC1_1 532) # CPU_PA_RISC2_0 case "${sc_kernel_bits}" in 32) HP_ARCH=hppa2.0n ;; 64) HP_ARCH=hppa2.0w ;; '') HP_ARCH=hppa2.0 ;; # HP-UX 10.20 esac ;; esac fi if [ "${HP_ARCH}" = "" ]; then eval $set_cc_for_build sed 's/^ //' << EOF >$dummy.c #define _HPUX_SOURCE #include #include int main () { #if defined(_SC_KERNEL_BITS) long bits = sysconf(_SC_KERNEL_BITS); #endif long cpu = sysconf (_SC_CPU_VERSION); switch (cpu) { case CPU_PA_RISC1_0: puts ("hppa1.0"); break; case CPU_PA_RISC1_1: puts ("hppa1.1"); break; case CPU_PA_RISC2_0: #if defined(_SC_KERNEL_BITS) switch (bits) { case 64: puts ("hppa2.0w"); break; case 32: puts ("hppa2.0n"); break; default: puts ("hppa2.0"); break; } break; #else /* !defined(_SC_KERNEL_BITS) */ puts ("hppa2.0"); break; #endif default: puts ("hppa1.0"); break; } exit (0); } EOF (CCOPTS="" $CC_FOR_BUILD -o $dummy $dummy.c 2>/dev/null) && HP_ARCH=`$dummy` test -z "$HP_ARCH" && HP_ARCH=hppa fi ;; esac if [ ${HP_ARCH} = hppa2.0w ] then eval $set_cc_for_build # hppa2.0w-hp-hpux* has a 64-bit kernel and a compiler generating # 32-bit code. hppa64-hp-hpux* has the same kernel and a compiler # generating 64-bit code. GNU and HP use different nomenclature: # # $ CC_FOR_BUILD=cc ./config.guess # => hppa2.0w-hp-hpux11.23 # $ CC_FOR_BUILD="cc +DA2.0w" ./config.guess # => hppa64-hp-hpux11.23 if echo __LP64__ | (CCOPTS="" $CC_FOR_BUILD -E - 2>/dev/null) | grep -q __LP64__ then HP_ARCH=hppa2.0w else HP_ARCH=hppa64 fi fi echo ${HP_ARCH}-hp-hpux${HPUX_REV} exit ;; ia64:HP-UX:*:*) HPUX_REV=`echo ${UNAME_RELEASE}|sed -e 's/[^.]*.[0B]*//'` echo ia64-hp-hpux${HPUX_REV} exit ;; 3050*:HI-UX:*:*) eval $set_cc_for_build sed 's/^ //' << EOF >$dummy.c #include int main () { long cpu = sysconf (_SC_CPU_VERSION); /* The order matters, because CPU_IS_HP_MC68K erroneously returns true for CPU_PA_RISC1_0. CPU_IS_PA_RISC returns correct results, however. */ if (CPU_IS_PA_RISC (cpu)) { switch (cpu) { case CPU_PA_RISC1_0: puts ("hppa1.0-hitachi-hiuxwe2"); break; case CPU_PA_RISC1_1: puts ("hppa1.1-hitachi-hiuxwe2"); break; case CPU_PA_RISC2_0: puts ("hppa2.0-hitachi-hiuxwe2"); break; default: puts ("hppa-hitachi-hiuxwe2"); break; } } else if (CPU_IS_HP_MC68K (cpu)) puts ("m68k-hitachi-hiuxwe2"); else puts ("unknown-hitachi-hiuxwe2"); exit (0); } EOF $CC_FOR_BUILD -o $dummy $dummy.c && SYSTEM_NAME=`$dummy` && { echo "$SYSTEM_NAME"; exit; } echo unknown-hitachi-hiuxwe2 exit ;; 9000/7??:4.3bsd:*:* | 9000/8?[79]:4.3bsd:*:* ) echo hppa1.1-hp-bsd exit ;; 9000/8??:4.3bsd:*:*) echo hppa1.0-hp-bsd exit ;; *9??*:MPE/iX:*:* | *3000*:MPE/iX:*:*) echo hppa1.0-hp-mpeix exit ;; hp7??:OSF1:*:* | hp8?[79]:OSF1:*:* ) echo hppa1.1-hp-osf exit ;; hp8??:OSF1:*:*) echo hppa1.0-hp-osf exit ;; i*86:OSF1:*:*) if [ -x /usr/sbin/sysversion ] ; then echo ${UNAME_MACHINE}-unknown-osf1mk else echo ${UNAME_MACHINE}-unknown-osf1 fi exit ;; parisc*:Lites*:*:*) echo hppa1.1-hp-lites exit ;; C1*:ConvexOS:*:* | convex:ConvexOS:C1*:*) echo c1-convex-bsd exit ;; C2*:ConvexOS:*:* | convex:ConvexOS:C2*:*) if getsysinfo -f scalar_acc then echo c32-convex-bsd else echo c2-convex-bsd fi exit ;; C34*:ConvexOS:*:* | convex:ConvexOS:C34*:*) echo c34-convex-bsd exit ;; C38*:ConvexOS:*:* | convex:ConvexOS:C38*:*) echo c38-convex-bsd exit ;; C4*:ConvexOS:*:* | convex:ConvexOS:C4*:*) echo c4-convex-bsd exit ;; CRAY*Y-MP:*:*:*) echo ymp-cray-unicos${UNAME_RELEASE} | sed -e 's/\.[^.]*$/.X/' exit ;; CRAY*[A-Z]90:*:*:*) echo ${UNAME_MACHINE}-cray-unicos${UNAME_RELEASE} \ | sed -e 's/CRAY.*\([A-Z]90\)/\1/' \ -e y/ABCDEFGHIJKLMNOPQRSTUVWXYZ/abcdefghijklmnopqrstuvwxyz/ \ -e 's/\.[^.]*$/.X/' exit ;; CRAY*TS:*:*:*) echo t90-cray-unicos${UNAME_RELEASE} | sed -e 's/\.[^.]*$/.X/' exit ;; CRAY*T3E:*:*:*) echo alphaev5-cray-unicosmk${UNAME_RELEASE} | sed -e 's/\.[^.]*$/.X/' exit ;; CRAY*SV1:*:*:*) echo sv1-cray-unicos${UNAME_RELEASE} | sed -e 's/\.[^.]*$/.X/' exit ;; *:UNICOS/mp:*:*) echo craynv-cray-unicosmp${UNAME_RELEASE} | sed -e 's/\.[^.]*$/.X/' exit ;; F30[01]:UNIX_System_V:*:* | F700:UNIX_System_V:*:*) FUJITSU_PROC=`uname -m | tr ABCDEFGHIJKLMNOPQRSTUVWXYZ abcdefghijklmnopqrstuvwxyz` FUJITSU_SYS=`uname -p | tr ABCDEFGHIJKLMNOPQRSTUVWXYZ abcdefghijklmnopqrstuvwxyz | sed -e 's/\///'` FUJITSU_REL=`echo ${UNAME_RELEASE} | sed -e 's/ /_/'` echo "${FUJITSU_PROC}-fujitsu-${FUJITSU_SYS}${FUJITSU_REL}" exit ;; 5000:UNIX_System_V:4.*:*) FUJITSU_SYS=`uname -p | tr ABCDEFGHIJKLMNOPQRSTUVWXYZ abcdefghijklmnopqrstuvwxyz | sed -e 's/\///'` FUJITSU_REL=`echo ${UNAME_RELEASE} | tr ABCDEFGHIJKLMNOPQRSTUVWXYZ abcdefghijklmnopqrstuvwxyz | sed -e 's/ /_/'` echo "sparc-fujitsu-${FUJITSU_SYS}${FUJITSU_REL}" exit ;; i*86:BSD/386:*:* | i*86:BSD/OS:*:* | *:Ascend\ Embedded/OS:*:*) echo ${UNAME_MACHINE}-pc-bsdi${UNAME_RELEASE} exit ;; sparc*:BSD/OS:*:*) echo sparc-unknown-bsdi${UNAME_RELEASE} exit ;; *:BSD/OS:*:*) echo ${UNAME_MACHINE}-unknown-bsdi${UNAME_RELEASE} exit ;; *:FreeBSD:*:*) UNAME_PROCESSOR=`/usr/bin/uname -p` case ${UNAME_PROCESSOR} in amd64) UNAME_PROCESSOR=x86_64 ;; i386) UNAME_PROCESSOR=i586 ;; esac echo ${UNAME_PROCESSOR}-unknown-freebsd`echo ${UNAME_RELEASE}|sed -e 's/[-(].*//'` exit ;; i*:CYGWIN*:*) echo ${UNAME_MACHINE}-pc-cygwin exit ;; *:MINGW64*:*) echo ${UNAME_MACHINE}-pc-mingw64 exit ;; *:MINGW*:*) echo ${UNAME_MACHINE}-pc-mingw32 exit ;; *:MSYS*:*) echo ${UNAME_MACHINE}-pc-msys exit ;; i*:windows32*:*) # uname -m includes "-pc" on this system. echo ${UNAME_MACHINE}-mingw32 exit ;; i*:PW*:*) echo ${UNAME_MACHINE}-pc-pw32 exit ;; *:Interix*:*) case ${UNAME_MACHINE} in x86) echo i586-pc-interix${UNAME_RELEASE} exit ;; authenticamd | genuineintel | EM64T) echo x86_64-unknown-interix${UNAME_RELEASE} exit ;; IA64) echo ia64-unknown-interix${UNAME_RELEASE} exit ;; esac ;; [345]86:Windows_95:* | [345]86:Windows_98:* | [345]86:Windows_NT:*) echo i${UNAME_MACHINE}-pc-mks exit ;; 8664:Windows_NT:*) echo x86_64-pc-mks exit ;; i*:Windows_NT*:* | Pentium*:Windows_NT*:*) # How do we know it's Interix rather than the generic POSIX subsystem? # It also conflicts with pre-2.0 versions of AT&T UWIN. Should we # UNAME_MACHINE based on the output of uname instead of i386? echo i586-pc-interix exit ;; i*:UWIN*:*) echo ${UNAME_MACHINE}-pc-uwin exit ;; amd64:CYGWIN*:*:* | x86_64:CYGWIN*:*:*) echo x86_64-unknown-cygwin exit ;; p*:CYGWIN*:*) echo powerpcle-unknown-cygwin exit ;; prep*:SunOS:5.*:*) echo powerpcle-unknown-solaris2`echo ${UNAME_RELEASE}|sed -e 's/[^.]*//'` exit ;; *:GNU:*:*) # the GNU system echo `echo ${UNAME_MACHINE}|sed -e 's,[-/].*$,,'`-unknown-${LIBC}`echo ${UNAME_RELEASE}|sed -e 's,/.*$,,'` exit ;; *:GNU/*:*:*) # other systems with GNU libc and userland echo ${UNAME_MACHINE}-unknown-`echo ${UNAME_SYSTEM} | sed 's,^[^/]*/,,' | tr "[:upper:]" "[:lower:]"``echo ${UNAME_RELEASE}|sed -e 's/[-(].*//'`-${LIBC} exit ;; i*86:Minix:*:*) echo ${UNAME_MACHINE}-pc-minix exit ;; aarch64:Linux:*:*) echo ${UNAME_MACHINE}-unknown-linux-${LIBC} exit ;; aarch64_be:Linux:*:*) UNAME_MACHINE=aarch64_be echo ${UNAME_MACHINE}-unknown-linux-${LIBC} exit ;; alpha:Linux:*:*) case `sed -n '/^cpu model/s/^.*: \(.*\)/\1/p' < /proc/cpuinfo` in EV5) UNAME_MACHINE=alphaev5 ;; EV56) UNAME_MACHINE=alphaev56 ;; PCA56) UNAME_MACHINE=alphapca56 ;; PCA57) UNAME_MACHINE=alphapca56 ;; EV6) UNAME_MACHINE=alphaev6 ;; EV67) UNAME_MACHINE=alphaev67 ;; EV68*) UNAME_MACHINE=alphaev68 ;; esac objdump --private-headers /bin/sh | grep -q ld.so.1 if test "$?" = 0 ; then LIBC=gnulibc1 ; fi echo ${UNAME_MACHINE}-unknown-linux-${LIBC} exit ;; arc:Linux:*:* | arceb:Linux:*:*) echo ${UNAME_MACHINE}-unknown-linux-${LIBC} exit ;; arm*:Linux:*:*) eval $set_cc_for_build if echo __ARM_EABI__ | $CC_FOR_BUILD -E - 2>/dev/null \ | grep -q __ARM_EABI__ then echo ${UNAME_MACHINE}-unknown-linux-${LIBC} else if echo __ARM_PCS_VFP | $CC_FOR_BUILD -E - 2>/dev/null \ | grep -q __ARM_PCS_VFP then echo ${UNAME_MACHINE}-unknown-linux-${LIBC}eabi else echo ${UNAME_MACHINE}-unknown-linux-${LIBC}eabihf fi fi exit ;; avr32*:Linux:*:*) echo ${UNAME_MACHINE}-unknown-linux-${LIBC} exit ;; cris:Linux:*:*) echo ${UNAME_MACHINE}-axis-linux-${LIBC} exit ;; crisv32:Linux:*:*) echo ${UNAME_MACHINE}-axis-linux-${LIBC} exit ;; e2k:Linux:*:*) echo ${UNAME_MACHINE}-unknown-linux-${LIBC} exit ;; frv:Linux:*:*) echo ${UNAME_MACHINE}-unknown-linux-${LIBC} exit ;; hexagon:Linux:*:*) echo ${UNAME_MACHINE}-unknown-linux-${LIBC} exit ;; i*86:Linux:*:*) echo ${UNAME_MACHINE}-pc-linux-${LIBC} exit ;; ia64:Linux:*:*) echo ${UNAME_MACHINE}-unknown-linux-${LIBC} exit ;; k1om:Linux:*:*) echo ${UNAME_MACHINE}-unknown-linux-${LIBC} exit ;; m32r*:Linux:*:*) echo ${UNAME_MACHINE}-unknown-linux-${LIBC} exit ;; m68*:Linux:*:*) echo ${UNAME_MACHINE}-unknown-linux-${LIBC} exit ;; mips:Linux:*:* | mips64:Linux:*:*) eval $set_cc_for_build sed 's/^ //' << EOF >$dummy.c #undef CPU #undef ${UNAME_MACHINE} #undef ${UNAME_MACHINE}el #if defined(__MIPSEL__) || defined(__MIPSEL) || defined(_MIPSEL) || defined(MIPSEL) CPU=${UNAME_MACHINE}el #else #if defined(__MIPSEB__) || defined(__MIPSEB) || defined(_MIPSEB) || defined(MIPSEB) CPU=${UNAME_MACHINE} #else CPU= #endif #endif EOF eval `$CC_FOR_BUILD -E $dummy.c 2>/dev/null | grep '^CPU'` test x"${CPU}" != x && { echo "${CPU}-unknown-linux-${LIBC}"; exit; } ;; mips64el:Linux:*:*) echo ${UNAME_MACHINE}-unknown-linux-${LIBC} exit ;; openrisc*:Linux:*:*) echo or1k-unknown-linux-${LIBC} exit ;; or32:Linux:*:* | or1k*:Linux:*:*) echo ${UNAME_MACHINE}-unknown-linux-${LIBC} exit ;; padre:Linux:*:*) echo sparc-unknown-linux-${LIBC} exit ;; parisc64:Linux:*:* | hppa64:Linux:*:*) echo hppa64-unknown-linux-${LIBC} exit ;; parisc:Linux:*:* | hppa:Linux:*:*) # Look for CPU level case `grep '^cpu[^a-z]*:' /proc/cpuinfo 2>/dev/null | cut -d' ' -f2` in PA7*) echo hppa1.1-unknown-linux-${LIBC} ;; PA8*) echo hppa2.0-unknown-linux-${LIBC} ;; *) echo hppa-unknown-linux-${LIBC} ;; esac exit ;; ppc64:Linux:*:*) echo powerpc64-unknown-linux-${LIBC} exit ;; ppc:Linux:*:*) echo powerpc-unknown-linux-${LIBC} exit ;; ppc64le:Linux:*:*) echo powerpc64le-unknown-linux-${LIBC} exit ;; ppcle:Linux:*:*) echo powerpcle-unknown-linux-${LIBC} exit ;; riscv32:Linux:*:* | riscv64:Linux:*:*) echo ${UNAME_MACHINE}-unknown-linux-${LIBC} exit ;; s390:Linux:*:* | s390x:Linux:*:*) echo ${UNAME_MACHINE}-ibm-linux-${LIBC} exit ;; sh64*:Linux:*:*) echo ${UNAME_MACHINE}-unknown-linux-${LIBC} exit ;; sh*:Linux:*:*) echo ${UNAME_MACHINE}-unknown-linux-${LIBC} exit ;; sparc:Linux:*:* | sparc64:Linux:*:*) echo ${UNAME_MACHINE}-unknown-linux-${LIBC} exit ;; tile*:Linux:*:*) echo ${UNAME_MACHINE}-unknown-linux-${LIBC} exit ;; vax:Linux:*:*) echo ${UNAME_MACHINE}-dec-linux-${LIBC} exit ;; x86_64:Linux:*:*) echo ${UNAME_MACHINE}-pc-linux-${LIBC} exit ;; xtensa*:Linux:*:*) echo ${UNAME_MACHINE}-unknown-linux-${LIBC} exit ;; i*86:DYNIX/ptx:4*:*) # ptx 4.0 does uname -s correctly, with DYNIX/ptx in there. # earlier versions are messed up and put the nodename in both # sysname and nodename. echo i386-sequent-sysv4 exit ;; i*86:UNIX_SV:4.2MP:2.*) # Unixware is an offshoot of SVR4, but it has its own version # number series starting with 2... # I am not positive that other SVR4 systems won't match this, # I just have to hope. -- rms. # Use sysv4.2uw... so that sysv4* matches it. echo ${UNAME_MACHINE}-pc-sysv4.2uw${UNAME_VERSION} exit ;; i*86:OS/2:*:*) # If we were able to find `uname', then EMX Unix compatibility # is probably installed. echo ${UNAME_MACHINE}-pc-os2-emx exit ;; i*86:XTS-300:*:STOP) echo ${UNAME_MACHINE}-unknown-stop exit ;; i*86:atheos:*:*) echo ${UNAME_MACHINE}-unknown-atheos exit ;; i*86:syllable:*:*) echo ${UNAME_MACHINE}-pc-syllable exit ;; i*86:LynxOS:2.*:* | i*86:LynxOS:3.[01]*:* | i*86:LynxOS:4.[02]*:*) echo i386-unknown-lynxos${UNAME_RELEASE} exit ;; i*86:*DOS:*:*) echo ${UNAME_MACHINE}-pc-msdosdjgpp exit ;; i*86:*:4.*:* | i*86:SYSTEM_V:4.*:*) UNAME_REL=`echo ${UNAME_RELEASE} | sed 's/\/MP$//'` if grep Novell /usr/include/link.h >/dev/null 2>/dev/null; then echo ${UNAME_MACHINE}-univel-sysv${UNAME_REL} else echo ${UNAME_MACHINE}-pc-sysv${UNAME_REL} fi exit ;; i*86:*:5:[678]*) # UnixWare 7.x, OpenUNIX and OpenServer 6. case `/bin/uname -X | grep "^Machine"` in *486*) UNAME_MACHINE=i486 ;; *Pentium) UNAME_MACHINE=i586 ;; *Pent*|*Celeron) UNAME_MACHINE=i686 ;; esac echo ${UNAME_MACHINE}-unknown-sysv${UNAME_RELEASE}${UNAME_SYSTEM}${UNAME_VERSION} exit ;; i*86:*:3.2:*) if test -f /usr/options/cb.name; then UNAME_REL=`sed -n 's/.*Version //p' /dev/null >/dev/null ; then UNAME_REL=`(/bin/uname -X|grep Release|sed -e 's/.*= //')` (/bin/uname -X|grep i80486 >/dev/null) && UNAME_MACHINE=i486 (/bin/uname -X|grep '^Machine.*Pentium' >/dev/null) \ && UNAME_MACHINE=i586 (/bin/uname -X|grep '^Machine.*Pent *II' >/dev/null) \ && UNAME_MACHINE=i686 (/bin/uname -X|grep '^Machine.*Pentium Pro' >/dev/null) \ && UNAME_MACHINE=i686 echo ${UNAME_MACHINE}-pc-sco$UNAME_REL else echo ${UNAME_MACHINE}-pc-sysv32 fi exit ;; pc:*:*:*) # Left here for compatibility: # uname -m prints for DJGPP always 'pc', but it prints nothing about # the processor, so we play safe by assuming i586. # Note: whatever this is, it MUST be the same as what config.sub # prints for the "djgpp" host, or else GDB configure will decide that # this is a cross-build. echo i586-pc-msdosdjgpp exit ;; Intel:Mach:3*:*) echo i386-pc-mach3 exit ;; paragon:*:*:*) echo i860-intel-osf1 exit ;; i860:*:4.*:*) # i860-SVR4 if grep Stardent /usr/include/sys/uadmin.h >/dev/null 2>&1 ; then echo i860-stardent-sysv${UNAME_RELEASE} # Stardent Vistra i860-SVR4 else # Add other i860-SVR4 vendors below as they are discovered. echo i860-unknown-sysv${UNAME_RELEASE} # Unknown i860-SVR4 fi exit ;; mini*:CTIX:SYS*5:*) # "miniframe" echo m68010-convergent-sysv exit ;; mc68k:UNIX:SYSTEM5:3.51m) echo m68k-convergent-sysv exit ;; M680?0:D-NIX:5.3:*) echo m68k-diab-dnix exit ;; M68*:*:R3V[5678]*:*) test -r /sysV68 && { echo 'm68k-motorola-sysv'; exit; } ;; 3[345]??:*:4.0:3.0 | 3[34]??A:*:4.0:3.0 | 3[34]??,*:*:4.0:3.0 | 3[34]??/*:*:4.0:3.0 | 4400:*:4.0:3.0 | 4850:*:4.0:3.0 | SKA40:*:4.0:3.0 | SDS2:*:4.0:3.0 | SHG2:*:4.0:3.0 | S7501*:*:4.0:3.0) OS_REL='' test -r /etc/.relid \ && OS_REL=.`sed -n 's/[^ ]* [^ ]* \([0-9][0-9]\).*/\1/p' < /etc/.relid` /bin/uname -p 2>/dev/null | grep 86 >/dev/null \ && { echo i486-ncr-sysv4.3${OS_REL}; exit; } /bin/uname -p 2>/dev/null | /bin/grep entium >/dev/null \ && { echo i586-ncr-sysv4.3${OS_REL}; exit; } ;; 3[34]??:*:4.0:* | 3[34]??,*:*:4.0:*) /bin/uname -p 2>/dev/null | grep 86 >/dev/null \ && { echo i486-ncr-sysv4; exit; } ;; NCR*:*:4.2:* | MPRAS*:*:4.2:*) OS_REL='.3' test -r /etc/.relid \ && OS_REL=.`sed -n 's/[^ ]* [^ ]* \([0-9][0-9]\).*/\1/p' < /etc/.relid` /bin/uname -p 2>/dev/null | grep 86 >/dev/null \ && { echo i486-ncr-sysv4.3${OS_REL}; exit; } /bin/uname -p 2>/dev/null | /bin/grep entium >/dev/null \ && { echo i586-ncr-sysv4.3${OS_REL}; exit; } /bin/uname -p 2>/dev/null | /bin/grep pteron >/dev/null \ && { echo i586-ncr-sysv4.3${OS_REL}; exit; } ;; m68*:LynxOS:2.*:* | m68*:LynxOS:3.0*:*) echo m68k-unknown-lynxos${UNAME_RELEASE} exit ;; mc68030:UNIX_System_V:4.*:*) echo m68k-atari-sysv4 exit ;; TSUNAMI:LynxOS:2.*:*) echo sparc-unknown-lynxos${UNAME_RELEASE} exit ;; rs6000:LynxOS:2.*:*) echo rs6000-unknown-lynxos${UNAME_RELEASE} exit ;; PowerPC:LynxOS:2.*:* | PowerPC:LynxOS:3.[01]*:* | PowerPC:LynxOS:4.[02]*:*) echo powerpc-unknown-lynxos${UNAME_RELEASE} exit ;; SM[BE]S:UNIX_SV:*:*) echo mips-dde-sysv${UNAME_RELEASE} exit ;; RM*:ReliantUNIX-*:*:*) echo mips-sni-sysv4 exit ;; RM*:SINIX-*:*:*) echo mips-sni-sysv4 exit ;; *:SINIX-*:*:*) if uname -p 2>/dev/null >/dev/null ; then UNAME_MACHINE=`(uname -p) 2>/dev/null` echo ${UNAME_MACHINE}-sni-sysv4 else echo ns32k-sni-sysv fi exit ;; PENTIUM:*:4.0*:*) # Unisys `ClearPath HMP IX 4000' SVR4/MP effort # says echo i586-unisys-sysv4 exit ;; *:UNIX_System_V:4*:FTX*) # From Gerald Hewes . # How about differentiating between stratus architectures? -djm echo hppa1.1-stratus-sysv4 exit ;; *:*:*:FTX*) # From seanf@swdc.stratus.com. echo i860-stratus-sysv4 exit ;; i*86:VOS:*:*) # From Paul.Green@stratus.com. echo ${UNAME_MACHINE}-stratus-vos exit ;; *:VOS:*:*) # From Paul.Green@stratus.com. echo hppa1.1-stratus-vos exit ;; mc68*:A/UX:*:*) echo m68k-apple-aux${UNAME_RELEASE} exit ;; news*:NEWS-OS:6*:*) echo mips-sony-newsos6 exit ;; R[34]000:*System_V*:*:* | R4000:UNIX_SYSV:*:* | R*000:UNIX_SV:*:*) if [ -d /usr/nec ]; then echo mips-nec-sysv${UNAME_RELEASE} else echo mips-unknown-sysv${UNAME_RELEASE} fi exit ;; BeBox:BeOS:*:*) # BeOS running on hardware made by Be, PPC only. echo powerpc-be-beos exit ;; BeMac:BeOS:*:*) # BeOS running on Mac or Mac clone, PPC only. echo powerpc-apple-beos exit ;; BePC:BeOS:*:*) # BeOS running on Intel PC compatible. echo i586-pc-beos exit ;; BePC:Haiku:*:*) # Haiku running on Intel PC compatible. echo i586-pc-haiku exit ;; x86_64:Haiku:*:*) echo x86_64-unknown-haiku exit ;; SX-4:SUPER-UX:*:*) echo sx4-nec-superux${UNAME_RELEASE} exit ;; SX-5:SUPER-UX:*:*) echo sx5-nec-superux${UNAME_RELEASE} exit ;; SX-6:SUPER-UX:*:*) echo sx6-nec-superux${UNAME_RELEASE} exit ;; SX-7:SUPER-UX:*:*) echo sx7-nec-superux${UNAME_RELEASE} exit ;; SX-8:SUPER-UX:*:*) echo sx8-nec-superux${UNAME_RELEASE} exit ;; SX-8R:SUPER-UX:*:*) echo sx8r-nec-superux${UNAME_RELEASE} exit ;; SX-ACE:SUPER-UX:*:*) echo sxace-nec-superux${UNAME_RELEASE} exit ;; Power*:Rhapsody:*:*) echo powerpc-apple-rhapsody${UNAME_RELEASE} exit ;; *:Rhapsody:*:*) echo ${UNAME_MACHINE}-apple-rhapsody${UNAME_RELEASE} exit ;; *:Darwin:*:*) UNAME_PROCESSOR=`uname -p` || UNAME_PROCESSOR=unknown eval $set_cc_for_build if test "$UNAME_PROCESSOR" = unknown ; then UNAME_PROCESSOR=powerpc fi if test `echo "$UNAME_RELEASE" | sed -e 's/\..*//'` -le 10 ; then if [ "$CC_FOR_BUILD" != no_compiler_found ]; then if (echo '#ifdef __LP64__'; echo IS_64BIT_ARCH; echo '#endif') | \ (CCOPTS="" $CC_FOR_BUILD -E - 2>/dev/null) | \ grep IS_64BIT_ARCH >/dev/null then case $UNAME_PROCESSOR in i386) UNAME_PROCESSOR=x86_64 ;; powerpc) UNAME_PROCESSOR=powerpc64 ;; esac fi # On 10.4-10.6 one might compile for PowerPC via gcc -arch ppc if (echo '#ifdef __POWERPC__'; echo IS_PPC; echo '#endif') | \ (CCOPTS="" $CC_FOR_BUILD -E - 2>/dev/null) | \ grep IS_PPC >/dev/null then UNAME_PROCESSOR=powerpc fi fi elif test "$UNAME_PROCESSOR" = i386 ; then # Avoid executing cc on OS X 10.9, as it ships with a stub # that puts up a graphical alert prompting to install # developer tools. Any system running Mac OS X 10.7 or # later (Darwin 11 and later) is required to have a 64-bit # processor. This is not true of the ARM version of Darwin # that Apple uses in portable devices. UNAME_PROCESSOR=x86_64 fi echo ${UNAME_PROCESSOR}-apple-darwin${UNAME_RELEASE} exit ;; *:procnto*:*:* | *:QNX:[0123456789]*:*) UNAME_PROCESSOR=`uname -p` if test "$UNAME_PROCESSOR" = x86; then UNAME_PROCESSOR=i386 UNAME_MACHINE=pc fi echo ${UNAME_PROCESSOR}-${UNAME_MACHINE}-nto-qnx${UNAME_RELEASE} exit ;; *:QNX:*:4*) echo i386-pc-qnx exit ;; NEO-*:NONSTOP_KERNEL:*:*) echo neo-tandem-nsk${UNAME_RELEASE} exit ;; NSE-*:NONSTOP_KERNEL:*:*) echo nse-tandem-nsk${UNAME_RELEASE} exit ;; NSR-*:NONSTOP_KERNEL:*:*) echo nsr-tandem-nsk${UNAME_RELEASE} exit ;; NSX-*:NONSTOP_KERNEL:*:*) echo nsx-tandem-nsk${UNAME_RELEASE} exit ;; *:NonStop-UX:*:*) echo mips-compaq-nonstopux exit ;; BS2000:POSIX*:*:*) echo bs2000-siemens-sysv exit ;; DS/*:UNIX_System_V:*:*) echo ${UNAME_MACHINE}-${UNAME_SYSTEM}-${UNAME_RELEASE} exit ;; *:Plan9:*:*) # "uname -m" is not consistent, so use $cputype instead. 386 # is converted to i386 for consistency with other x86 # operating systems. if test "$cputype" = 386; then UNAME_MACHINE=i386 else UNAME_MACHINE="$cputype" fi echo ${UNAME_MACHINE}-unknown-plan9 exit ;; *:TOPS-10:*:*) echo pdp10-unknown-tops10 exit ;; *:TENEX:*:*) echo pdp10-unknown-tenex exit ;; KS10:TOPS-20:*:* | KL10:TOPS-20:*:* | TYPE4:TOPS-20:*:*) echo pdp10-dec-tops20 exit ;; XKL-1:TOPS-20:*:* | TYPE5:TOPS-20:*:*) echo pdp10-xkl-tops20 exit ;; *:TOPS-20:*:*) echo pdp10-unknown-tops20 exit ;; *:ITS:*:*) echo pdp10-unknown-its exit ;; SEI:*:*:SEIUX) echo mips-sei-seiux${UNAME_RELEASE} exit ;; *:DragonFly:*:*) echo ${UNAME_MACHINE}-unknown-dragonfly`echo ${UNAME_RELEASE}|sed -e 's/[-(].*//'` exit ;; *:*VMS:*:*) UNAME_MACHINE=`(uname -p) 2>/dev/null` case "${UNAME_MACHINE}" in A*) echo alpha-dec-vms ; exit ;; I*) echo ia64-dec-vms ; exit ;; V*) echo vax-dec-vms ; exit ;; esac ;; *:XENIX:*:SysV) echo i386-pc-xenix exit ;; i*86:skyos:*:*) echo ${UNAME_MACHINE}-pc-skyos`echo ${UNAME_RELEASE} | sed -e 's/ .*$//'` exit ;; i*86:rdos:*:*) echo ${UNAME_MACHINE}-pc-rdos exit ;; i*86:AROS:*:*) echo ${UNAME_MACHINE}-pc-aros exit ;; x86_64:VMkernel:*:*) echo ${UNAME_MACHINE}-unknown-esx exit ;; amd64:Isilon\ OneFS:*:*) echo x86_64-unknown-onefs exit ;; esac cat >&2 </dev/null || echo unknown` uname -r = `(uname -r) 2>/dev/null || echo unknown` uname -s = `(uname -s) 2>/dev/null || echo unknown` uname -v = `(uname -v) 2>/dev/null || echo unknown` /usr/bin/uname -p = `(/usr/bin/uname -p) 2>/dev/null` /bin/uname -X = `(/bin/uname -X) 2>/dev/null` hostinfo = `(hostinfo) 2>/dev/null` /bin/universe = `(/bin/universe) 2>/dev/null` /usr/bin/arch -k = `(/usr/bin/arch -k) 2>/dev/null` /bin/arch = `(/bin/arch) 2>/dev/null` /usr/bin/oslevel = `(/usr/bin/oslevel) 2>/dev/null` /usr/convex/getsysinfo = `(/usr/convex/getsysinfo) 2>/dev/null` UNAME_MACHINE = ${UNAME_MACHINE} UNAME_RELEASE = ${UNAME_RELEASE} UNAME_SYSTEM = ${UNAME_SYSTEM} UNAME_VERSION = ${UNAME_VERSION} EOF exit 1 # Local variables: # eval: (add-hook 'write-file-hooks 'time-stamp) # time-stamp-start: "timestamp='" # time-stamp-format: "%:y-%02m-%02d" # time-stamp-end: "'" # End: nq-2.5.4/cnf/depcomp0000775000371700037170000005601713441553627015520 0ustar gap-jenkinsgap-jenkins#! /bin/sh # depcomp - compile a program generating dependencies as side-effects scriptversion=2016-01-11.22; # UTC # Copyright (C) 1999-2017 Free Software Foundation, Inc. # This program is free software; you can redistribute it and/or modify # it under the terms of the GNU General Public License as published by # the Free Software Foundation; either version 2, 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. See the # GNU General Public License for more details. # You should have received a copy of the GNU General Public License # along with this program. If not, see . # As a special exception to the GNU General Public License, if you # distribute this file as part of a program that contains a # configuration script generated by Autoconf, you may include it under # the same distribution terms that you use for the rest of that program. # Originally written by Alexandre Oliva . case $1 in '') echo "$0: No command. Try '$0 --help' for more information." 1>&2 exit 1; ;; -h | --h*) cat <<\EOF Usage: depcomp [--help] [--version] PROGRAM [ARGS] Run PROGRAMS ARGS to compile a file, generating dependencies as side-effects. Environment variables: depmode Dependency tracking mode. source Source file read by 'PROGRAMS ARGS'. object Object file output by 'PROGRAMS ARGS'. DEPDIR directory where to store dependencies. depfile Dependency file to output. tmpdepfile Temporary file to use when outputting dependencies. libtool Whether libtool is used (yes/no). Report bugs to . EOF exit $? ;; -v | --v*) echo "depcomp $scriptversion" exit $? ;; esac # Get the directory component of the given path, and save it in the # global variables '$dir'. Note that this directory component will # be either empty or ending with a '/' character. This is deliberate. set_dir_from () { case $1 in */*) dir=`echo "$1" | sed -e 's|/[^/]*$|/|'`;; *) dir=;; esac } # Get the suffix-stripped basename of the given path, and save it the # global variable '$base'. set_base_from () { base=`echo "$1" | sed -e 's|^.*/||' -e 's/\.[^.]*$//'` } # If no dependency file was actually created by the compiler invocation, # we still have to create a dummy depfile, to avoid errors with the # Makefile "include basename.Plo" scheme. make_dummy_depfile () { echo "#dummy" > "$depfile" } # Factor out some common post-processing of the generated depfile. # Requires the auxiliary global variable '$tmpdepfile' to be set. aix_post_process_depfile () { # If the compiler actually managed to produce a dependency file, # post-process it. if test -f "$tmpdepfile"; then # Each line is of the form 'foo.o: dependency.h'. # Do two passes, one to just change these to # $object: dependency.h # and one to simply output # dependency.h: # which is needed to avoid the deleted-header problem. { sed -e "s,^.*\.[$lower]*:,$object:," < "$tmpdepfile" sed -e "s,^.*\.[$lower]*:[$tab ]*,," -e 's,$,:,' < "$tmpdepfile" } > "$depfile" rm -f "$tmpdepfile" else make_dummy_depfile fi } # A tabulation character. tab=' ' # A newline character. nl=' ' # Character ranges might be problematic outside the C locale. # These definitions help. upper=ABCDEFGHIJKLMNOPQRSTUVWXYZ lower=abcdefghijklmnopqrstuvwxyz digits=0123456789 alpha=${upper}${lower} if test -z "$depmode" || test -z "$source" || test -z "$object"; then echo "depcomp: Variables source, object and depmode must be set" 1>&2 exit 1 fi # Dependencies for sub/bar.o or sub/bar.obj go into sub/.deps/bar.Po. depfile=${depfile-`echo "$object" | sed 's|[^\\/]*$|'${DEPDIR-.deps}'/&|;s|\.\([^.]*\)$|.P\1|;s|Pobj$|Po|'`} tmpdepfile=${tmpdepfile-`echo "$depfile" | sed 's/\.\([^.]*\)$/.T\1/'`} rm -f "$tmpdepfile" # Avoid interferences from the environment. gccflag= dashmflag= # Some modes work just like other modes, but use different flags. We # parameterize here, but still list the modes in the big case below, # to make depend.m4 easier to write. Note that we *cannot* use a case # here, because this file can only contain one case statement. if test "$depmode" = hp; then # HP compiler uses -M and no extra arg. gccflag=-M depmode=gcc fi if test "$depmode" = dashXmstdout; then # This is just like dashmstdout with a different argument. dashmflag=-xM depmode=dashmstdout fi cygpath_u="cygpath -u -f -" if test "$depmode" = msvcmsys; then # This is just like msvisualcpp but w/o cygpath translation. # Just convert the backslash-escaped backslashes to single forward # slashes to satisfy depend.m4 cygpath_u='sed s,\\\\,/,g' depmode=msvisualcpp fi if test "$depmode" = msvc7msys; then # This is just like msvc7 but w/o cygpath translation. # Just convert the backslash-escaped backslashes to single forward # slashes to satisfy depend.m4 cygpath_u='sed s,\\\\,/,g' depmode=msvc7 fi if test "$depmode" = xlc; then # IBM C/C++ Compilers xlc/xlC can output gcc-like dependency information. gccflag=-qmakedep=gcc,-MF depmode=gcc fi case "$depmode" in gcc3) ## gcc 3 implements dependency tracking that does exactly what ## we want. Yay! Note: for some reason libtool 1.4 doesn't like ## it if -MD -MP comes after the -MF stuff. Hmm. ## Unfortunately, FreeBSD c89 acceptance of flags depends upon ## the command line argument order; so add the flags where they ## appear in depend2.am. Note that the slowdown incurred here ## affects only configure: in makefiles, %FASTDEP% shortcuts this. for arg do case $arg in -c) set fnord "$@" -MT "$object" -MD -MP -MF "$tmpdepfile" "$arg" ;; *) set fnord "$@" "$arg" ;; esac shift # fnord shift # $arg done "$@" stat=$? if test $stat -ne 0; then rm -f "$tmpdepfile" exit $stat fi mv "$tmpdepfile" "$depfile" ;; gcc) ## Note that this doesn't just cater to obsosete pre-3.x GCC compilers. ## but also to in-use compilers like IMB xlc/xlC and the HP C compiler. ## (see the conditional assignment to $gccflag above). ## There are various ways to get dependency output from gcc. Here's ## why we pick this rather obscure method: ## - Don't want to use -MD because we'd like the dependencies to end ## up in a subdir. Having to rename by hand is ugly. ## (We might end up doing this anyway to support other compilers.) ## - The DEPENDENCIES_OUTPUT environment variable makes gcc act like ## -MM, not -M (despite what the docs say). Also, it might not be ## supported by the other compilers which use the 'gcc' depmode. ## - Using -M directly means running the compiler twice (even worse ## than renaming). if test -z "$gccflag"; then gccflag=-MD, fi "$@" -Wp,"$gccflag$tmpdepfile" stat=$? if test $stat -ne 0; then rm -f "$tmpdepfile" exit $stat fi rm -f "$depfile" echo "$object : \\" > "$depfile" # The second -e expression handles DOS-style file names with drive # letters. sed -e 's/^[^:]*: / /' \ -e 's/^['$alpha']:\/[^:]*: / /' < "$tmpdepfile" >> "$depfile" ## This next piece of magic avoids the "deleted header file" problem. ## The problem is that when a header file which appears in a .P file ## is deleted, the dependency causes make to die (because there is ## typically no way to rebuild the header). We avoid this by adding ## dummy dependencies for each header file. Too bad gcc doesn't do ## this for us directly. ## Some versions of gcc put a space before the ':'. On the theory ## that the space means something, we add a space to the output as ## well. hp depmode also adds that space, but also prefixes the VPATH ## to the object. Take care to not repeat it in the output. ## Some versions of the HPUX 10.20 sed can't process this invocation ## correctly. Breaking it into two sed invocations is a workaround. tr ' ' "$nl" < "$tmpdepfile" \ | sed -e 's/^\\$//' -e '/^$/d' -e "s|.*$object$||" -e '/:$/d' \ | sed -e 's/$/ :/' >> "$depfile" rm -f "$tmpdepfile" ;; hp) # This case exists only to let depend.m4 do its work. It works by # looking at the text of this script. This case will never be run, # since it is checked for above. exit 1 ;; sgi) if test "$libtool" = yes; then "$@" "-Wp,-MDupdate,$tmpdepfile" else "$@" -MDupdate "$tmpdepfile" fi stat=$? if test $stat -ne 0; then rm -f "$tmpdepfile" exit $stat fi rm -f "$depfile" if test -f "$tmpdepfile"; then # yes, the sourcefile depend on other files echo "$object : \\" > "$depfile" # Clip off the initial element (the dependent). Don't try to be # clever and replace this with sed code, as IRIX sed won't handle # lines with more than a fixed number of characters (4096 in # IRIX 6.2 sed, 8192 in IRIX 6.5). We also remove comment lines; # the IRIX cc adds comments like '#:fec' to the end of the # dependency line. tr ' ' "$nl" < "$tmpdepfile" \ | sed -e 's/^.*\.o://' -e 's/#.*$//' -e '/^$/ d' \ | tr "$nl" ' ' >> "$depfile" echo >> "$depfile" # The second pass generates a dummy entry for each header file. tr ' ' "$nl" < "$tmpdepfile" \ | sed -e 's/^.*\.o://' -e 's/#.*$//' -e '/^$/ d' -e 's/$/:/' \ >> "$depfile" else make_dummy_depfile fi rm -f "$tmpdepfile" ;; xlc) # This case exists only to let depend.m4 do its work. It works by # looking at the text of this script. This case will never be run, # since it is checked for above. exit 1 ;; aix) # The C for AIX Compiler uses -M and outputs the dependencies # in a .u file. In older versions, this file always lives in the # current directory. Also, the AIX compiler puts '$object:' at the # start of each line; $object doesn't have directory information. # Version 6 uses the directory in both cases. set_dir_from "$object" set_base_from "$object" if test "$libtool" = yes; then tmpdepfile1=$dir$base.u tmpdepfile2=$base.u tmpdepfile3=$dir.libs/$base.u "$@" -Wc,-M else tmpdepfile1=$dir$base.u tmpdepfile2=$dir$base.u tmpdepfile3=$dir$base.u "$@" -M fi stat=$? if test $stat -ne 0; then rm -f "$tmpdepfile1" "$tmpdepfile2" "$tmpdepfile3" exit $stat fi for tmpdepfile in "$tmpdepfile1" "$tmpdepfile2" "$tmpdepfile3" do test -f "$tmpdepfile" && break done aix_post_process_depfile ;; tcc) # tcc (Tiny C Compiler) understand '-MD -MF file' since version 0.9.26 # FIXME: That version still under development at the moment of writing. # Make that this statement remains true also for stable, released # versions. # It will wrap lines (doesn't matter whether long or short) with a # trailing '\', as in: # # foo.o : \ # foo.c \ # foo.h \ # # It will put a trailing '\' even on the last line, and will use leading # spaces rather than leading tabs (at least since its commit 0394caf7 # "Emit spaces for -MD"). "$@" -MD -MF "$tmpdepfile" stat=$? if test $stat -ne 0; then rm -f "$tmpdepfile" exit $stat fi rm -f "$depfile" # Each non-empty line is of the form 'foo.o : \' or ' dep.h \'. # We have to change lines of the first kind to '$object: \'. sed -e "s|.*:|$object :|" < "$tmpdepfile" > "$depfile" # And for each line of the second kind, we have to emit a 'dep.h:' # dummy dependency, to avoid the deleted-header problem. sed -n -e 's|^ *\(.*\) *\\$|\1:|p' < "$tmpdepfile" >> "$depfile" rm -f "$tmpdepfile" ;; ## The order of this option in the case statement is important, since the ## shell code in configure will try each of these formats in the order ## listed in this file. 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We also ### recognize some manufacturers as not being operating systems, so we ### can provide default operating systems below. case $os in -sun*os*) # Prevent following clause from handling this invalid input. ;; -dec* | -mips* | -sequent* | -encore* | -pc532* | -sgi* | -sony* | \ -att* | -7300* | -3300* | -delta* | -motorola* | -sun[234]* | \ -unicom* | -ibm* | -next | -hp | -isi* | -apollo | -altos* | \ -convergent* | -ncr* | -news | -32* | -3600* | -3100* | -hitachi* |\ -c[123]* | -convex* | -sun | -crds | -omron* | -dg | -ultra | -tti* | \ -harris | -dolphin | -highlevel | -gould | -cbm | -ns | -masscomp | \ -apple | -axis | -knuth | -cray | -microblaze*) os= basic_machine=$1 ;; -bluegene*) os=-cnk ;; -sim | -cisco | -oki | -wec | -winbond) os= basic_machine=$1 ;; -scout) ;; -wrs) os=-vxworks basic_machine=$1 ;; -chorusos*) os=-chorusos basic_machine=$1 ;; -chorusrdb) os=-chorusrdb basic_machine=$1 ;; -hiux*) os=-hiuxwe2 ;; -sco6) os=-sco5v6 basic_machine=`echo $1 | sed -e 's/86-.*/86-pc/'` ;; -sco5) os=-sco3.2v5 basic_machine=`echo $1 | sed -e 's/86-.*/86-pc/'` ;; -sco4) os=-sco3.2v4 basic_machine=`echo $1 | sed -e 's/86-.*/86-pc/'` ;; -sco3.2.[4-9]*) os=`echo $os | sed -e 's/sco3.2./sco3.2v/'` basic_machine=`echo $1 | sed -e 's/86-.*/86-pc/'` ;; -sco3.2v[4-9]*) # Don't forget version if it is 3.2v4 or newer. basic_machine=`echo $1 | sed -e 's/86-.*/86-pc/'` ;; -sco5v6*) # Don't forget version if it is 3.2v4 or newer. basic_machine=`echo $1 | sed -e 's/86-.*/86-pc/'` ;; -sco*) os=-sco3.2v2 basic_machine=`echo $1 | sed -e 's/86-.*/86-pc/'` ;; -udk*) basic_machine=`echo $1 | sed -e 's/86-.*/86-pc/'` ;; -isc) os=-isc2.2 basic_machine=`echo $1 | sed -e 's/86-.*/86-pc/'` ;; -clix*) basic_machine=clipper-intergraph ;; -isc*) basic_machine=`echo $1 | sed -e 's/86-.*/86-pc/'` ;; -lynx*178) os=-lynxos178 ;; -lynx*5) os=-lynxos5 ;; -lynx*) os=-lynxos ;; -ptx*) basic_machine=`echo $1 | sed -e 's/86-.*/86-sequent/'` ;; -windowsnt*) os=`echo $os | sed -e 's/windowsnt/winnt/'` ;; -psos*) os=-psos ;; -mint | -mint[0-9]*) basic_machine=m68k-atari os=-mint ;; esac # Decode aliases for certain CPU-COMPANY combinations. case $basic_machine in # Recognize the basic CPU types without company name. # Some are omitted here because they have special meanings below. 1750a | 580 \ | a29k \ | aarch64 | aarch64_be \ | alpha | alphaev[4-8] | alphaev56 | alphaev6[78] | alphapca5[67] \ | alpha64 | alpha64ev[4-8] | alpha64ev56 | alpha64ev6[78] | alpha64pca5[67] \ | am33_2.0 \ | arc | arceb \ | arm | arm[bl]e | arme[lb] | armv[2-8] | armv[3-8][lb] | armv7[arm] \ | avr | avr32 \ | ba \ | be32 | be64 \ | bfin \ | c4x | c8051 | clipper \ | d10v | d30v | dlx | dsp16xx \ | e2k | epiphany \ | fido | fr30 | frv | ft32 \ | h8300 | h8500 | hppa | hppa1.[01] | hppa2.0 | hppa2.0[nw] | hppa64 \ | hexagon \ | i370 | i860 | i960 | ia16 | ia64 \ | ip2k | iq2000 \ | k1om \ | le32 | le64 \ | lm32 \ | m32c | m32r | m32rle | m68000 | m68k | m88k \ | maxq | mb | microblaze | microblazeel | mcore | mep | metag \ | mips | mipsbe | mipseb | mipsel | mipsle \ | mips16 \ | mips64 | mips64el \ | mips64octeon | mips64octeonel \ | mips64orion | mips64orionel \ | mips64r5900 | mips64r5900el \ | mips64vr | mips64vrel \ | mips64vr4100 | mips64vr4100el \ | mips64vr4300 | mips64vr4300el \ | mips64vr5000 | mips64vr5000el \ | mips64vr5900 | mips64vr5900el \ | mipsisa32 | mipsisa32el \ | mipsisa32r2 | mipsisa32r2el \ | mipsisa32r6 | mipsisa32r6el \ | mipsisa64 | mipsisa64el \ | mipsisa64r2 | mipsisa64r2el \ | mipsisa64r6 | mipsisa64r6el \ | mipsisa64sb1 | mipsisa64sb1el \ | mipsisa64sr71k | mipsisa64sr71kel \ | mipsr5900 | mipsr5900el \ | mipstx39 | mipstx39el \ | mn10200 | mn10300 \ | moxie \ | mt \ | msp430 \ | nds32 | nds32le | nds32be \ | nios | nios2 | nios2eb | nios2el \ | ns16k | ns32k \ | open8 | or1k | or1knd | or32 \ | pdp10 | pdp11 | pj | pjl \ | powerpc | powerpc64 | powerpc64le | powerpcle \ | pru \ | pyramid \ | riscv32 | riscv64 \ | rl78 | rx \ | score \ | sh | sh[1234] | sh[24]a | sh[24]aeb | sh[23]e | sh[234]eb | sheb | shbe | shle | sh[1234]le | sh3ele \ | sh64 | sh64le \ | sparc | sparc64 | sparc64b | sparc64v | sparc86x | sparclet | sparclite \ | sparcv8 | sparcv9 | sparcv9b | sparcv9v \ | spu \ | tahoe | tic4x | tic54x | tic55x | tic6x | tic80 | tron \ | ubicom32 \ | v850 | v850e | v850e1 | v850e2 | v850es | v850e2v3 \ | visium \ | wasm32 \ | we32k \ | x86 | xc16x | xstormy16 | xtensa \ | z8k | z80) basic_machine=$basic_machine-unknown ;; c54x) basic_machine=tic54x-unknown ;; c55x) basic_machine=tic55x-unknown ;; c6x) basic_machine=tic6x-unknown ;; leon|leon[3-9]) basic_machine=sparc-$basic_machine ;; m6811 | m68hc11 | m6812 | m68hc12 | m68hcs12x | nvptx | picochip) basic_machine=$basic_machine-unknown os=-none ;; m88110 | m680[12346]0 | m683?2 | m68360 | m5200 | v70 | w65 | z8k) ;; ms1) basic_machine=mt-unknown ;; strongarm | thumb | xscale) basic_machine=arm-unknown ;; xgate) basic_machine=$basic_machine-unknown os=-none ;; xscaleeb) basic_machine=armeb-unknown ;; xscaleel) basic_machine=armel-unknown ;; # We use `pc' rather than `unknown' # because (1) that's what they normally are, and # (2) the word "unknown" tends to confuse beginning users. i*86 | x86_64) basic_machine=$basic_machine-pc ;; # Object if more than one company name word. *-*-*) echo Invalid configuration \`$1\': machine \`$basic_machine\' not recognized 1>&2 exit 1 ;; # Recognize the basic CPU types with company name. 580-* \ | a29k-* \ | aarch64-* | aarch64_be-* \ | alpha-* | alphaev[4-8]-* | alphaev56-* | alphaev6[78]-* \ | alpha64-* | alpha64ev[4-8]-* | alpha64ev56-* | alpha64ev6[78]-* \ | alphapca5[67]-* | alpha64pca5[67]-* | arc-* | arceb-* \ | arm-* | armbe-* | armle-* | armeb-* | armv*-* \ | avr-* | avr32-* \ | ba-* \ | be32-* | be64-* \ | bfin-* | bs2000-* \ | c[123]* | c30-* | [cjt]90-* | c4x-* \ | c8051-* | clipper-* | craynv-* | cydra-* \ | d10v-* | d30v-* | dlx-* \ | e2k-* | elxsi-* \ | f30[01]-* | f700-* | fido-* | fr30-* | frv-* | fx80-* \ | h8300-* | h8500-* \ | hppa-* | hppa1.[01]-* | hppa2.0-* | hppa2.0[nw]-* | hppa64-* \ | hexagon-* \ | i*86-* | i860-* | i960-* | ia16-* | ia64-* \ | ip2k-* | iq2000-* \ | k1om-* \ | le32-* | le64-* \ | lm32-* \ | m32c-* | m32r-* | m32rle-* \ | m68000-* | m680[012346]0-* | m68360-* | m683?2-* | m68k-* \ | m88110-* | m88k-* | maxq-* | mcore-* | metag-* \ | microblaze-* | microblazeel-* \ | mips-* | mipsbe-* | mipseb-* | mipsel-* | mipsle-* \ | mips16-* \ | mips64-* | mips64el-* \ | mips64octeon-* | mips64octeonel-* \ | mips64orion-* | mips64orionel-* \ | mips64r5900-* | mips64r5900el-* \ | mips64vr-* | mips64vrel-* \ | mips64vr4100-* | mips64vr4100el-* \ | mips64vr4300-* | mips64vr4300el-* \ | mips64vr5000-* | mips64vr5000el-* \ | mips64vr5900-* | mips64vr5900el-* \ | mipsisa32-* | mipsisa32el-* \ | mipsisa32r2-* | mipsisa32r2el-* \ | mipsisa32r6-* | mipsisa32r6el-* \ | mipsisa64-* | mipsisa64el-* \ | mipsisa64r2-* | mipsisa64r2el-* \ | mipsisa64r6-* | mipsisa64r6el-* \ | mipsisa64sb1-* | mipsisa64sb1el-* \ | mipsisa64sr71k-* | mipsisa64sr71kel-* \ | mipsr5900-* | mipsr5900el-* \ | mipstx39-* | mipstx39el-* \ | mmix-* \ | mt-* \ | msp430-* \ | nds32-* | nds32le-* | nds32be-* \ | nios-* | nios2-* | nios2eb-* | nios2el-* \ | none-* | np1-* | ns16k-* | ns32k-* \ | open8-* \ | or1k*-* \ | orion-* \ | pdp10-* | pdp11-* | pj-* | pjl-* | pn-* | power-* \ | powerpc-* | powerpc64-* | powerpc64le-* | powerpcle-* \ | pru-* \ | pyramid-* \ | riscv32-* | riscv64-* \ | rl78-* | romp-* | rs6000-* | rx-* \ | sh-* | sh[1234]-* | sh[24]a-* | sh[24]aeb-* | sh[23]e-* | sh[34]eb-* | sheb-* | shbe-* \ | shle-* | sh[1234]le-* | sh3ele-* | sh64-* | sh64le-* \ | sparc-* | sparc64-* | sparc64b-* | sparc64v-* | sparc86x-* | sparclet-* \ | sparclite-* \ | sparcv8-* | sparcv9-* | sparcv9b-* | sparcv9v-* | sv1-* | sx*-* \ | tahoe-* \ | tic30-* | tic4x-* | tic54x-* | tic55x-* | tic6x-* | tic80-* \ | tile*-* \ | tron-* \ | ubicom32-* \ | v850-* | v850e-* | v850e1-* | v850es-* | v850e2-* | v850e2v3-* \ | vax-* \ | visium-* \ | wasm32-* \ | we32k-* \ | x86-* | x86_64-* | xc16x-* | xps100-* \ | xstormy16-* | xtensa*-* \ | ymp-* \ | z8k-* | z80-*) ;; # Recognize the basic CPU types without company name, with glob match. xtensa*) basic_machine=$basic_machine-unknown ;; # Recognize the various machine names and aliases which stand # for a CPU type and a company and sometimes even an OS. 386bsd) basic_machine=i386-unknown os=-bsd ;; 3b1 | 7300 | 7300-att | att-7300 | pc7300 | safari | unixpc) basic_machine=m68000-att ;; 3b*) basic_machine=we32k-att ;; a29khif) basic_machine=a29k-amd os=-udi ;; abacus) basic_machine=abacus-unknown ;; adobe68k) basic_machine=m68010-adobe os=-scout ;; alliant | fx80) basic_machine=fx80-alliant ;; altos | altos3068) basic_machine=m68k-altos ;; am29k) basic_machine=a29k-none os=-bsd ;; amd64) basic_machine=x86_64-pc ;; amd64-*) basic_machine=x86_64-`echo $basic_machine | sed 's/^[^-]*-//'` ;; amdahl) basic_machine=580-amdahl os=-sysv ;; amiga | amiga-*) basic_machine=m68k-unknown ;; amigaos | amigados) basic_machine=m68k-unknown os=-amigaos ;; amigaunix | amix) basic_machine=m68k-unknown os=-sysv4 ;; apollo68) basic_machine=m68k-apollo os=-sysv ;; apollo68bsd) basic_machine=m68k-apollo os=-bsd ;; aros) basic_machine=i386-pc os=-aros ;; asmjs) basic_machine=asmjs-unknown ;; aux) basic_machine=m68k-apple os=-aux ;; balance) basic_machine=ns32k-sequent os=-dynix ;; blackfin) basic_machine=bfin-unknown os=-linux ;; blackfin-*) basic_machine=bfin-`echo $basic_machine | sed 's/^[^-]*-//'` os=-linux ;; bluegene*) basic_machine=powerpc-ibm os=-cnk ;; c54x-*) basic_machine=tic54x-`echo $basic_machine | sed 's/^[^-]*-//'` ;; c55x-*) basic_machine=tic55x-`echo $basic_machine | sed 's/^[^-]*-//'` ;; c6x-*) basic_machine=tic6x-`echo $basic_machine | sed 's/^[^-]*-//'` ;; c90) basic_machine=c90-cray os=-unicos ;; cegcc) basic_machine=arm-unknown os=-cegcc ;; convex-c1) basic_machine=c1-convex os=-bsd ;; convex-c2) basic_machine=c2-convex os=-bsd ;; convex-c32) basic_machine=c32-convex os=-bsd ;; convex-c34) basic_machine=c34-convex os=-bsd ;; convex-c38) basic_machine=c38-convex os=-bsd ;; cray | j90) basic_machine=j90-cray os=-unicos ;; craynv) basic_machine=craynv-cray os=-unicosmp ;; cr16 | cr16-*) basic_machine=cr16-unknown os=-elf ;; crds | unos) basic_machine=m68k-crds ;; crisv32 | crisv32-* | etraxfs*) basic_machine=crisv32-axis ;; cris | cris-* | etrax*) basic_machine=cris-axis ;; crx) basic_machine=crx-unknown os=-elf ;; da30 | da30-*) basic_machine=m68k-da30 ;; decstation | decstation-3100 | pmax | pmax-* | pmin | dec3100 | decstatn) basic_machine=mips-dec ;; decsystem10* | dec10*) basic_machine=pdp10-dec os=-tops10 ;; decsystem20* | dec20*) basic_machine=pdp10-dec os=-tops20 ;; delta | 3300 | motorola-3300 | motorola-delta \ | 3300-motorola | delta-motorola) basic_machine=m68k-motorola ;; delta88) basic_machine=m88k-motorola os=-sysv3 ;; dicos) basic_machine=i686-pc os=-dicos ;; djgpp) basic_machine=i586-pc os=-msdosdjgpp ;; dpx20 | dpx20-*) basic_machine=rs6000-bull os=-bosx ;; dpx2* | dpx2*-bull) basic_machine=m68k-bull os=-sysv3 ;; e500v[12]) basic_machine=powerpc-unknown os=$os"spe" ;; e500v[12]-*) basic_machine=powerpc-`echo $basic_machine | sed 's/^[^-]*-//'` os=$os"spe" ;; ebmon29k) basic_machine=a29k-amd os=-ebmon ;; elxsi) basic_machine=elxsi-elxsi os=-bsd ;; encore | umax | mmax) basic_machine=ns32k-encore ;; es1800 | OSE68k | ose68k | ose | OSE) basic_machine=m68k-ericsson os=-ose ;; fx2800) basic_machine=i860-alliant ;; genix) basic_machine=ns32k-ns ;; gmicro) basic_machine=tron-gmicro os=-sysv ;; go32) basic_machine=i386-pc os=-go32 ;; h3050r* | hiux*) basic_machine=hppa1.1-hitachi os=-hiuxwe2 ;; h8300hms) basic_machine=h8300-hitachi os=-hms ;; h8300xray) basic_machine=h8300-hitachi os=-xray ;; h8500hms) basic_machine=h8500-hitachi os=-hms ;; harris) basic_machine=m88k-harris os=-sysv3 ;; hp300-*) basic_machine=m68k-hp ;; hp300bsd) basic_machine=m68k-hp os=-bsd ;; hp300hpux) basic_machine=m68k-hp os=-hpux ;; hp3k9[0-9][0-9] | hp9[0-9][0-9]) basic_machine=hppa1.0-hp ;; hp9k2[0-9][0-9] | hp9k31[0-9]) basic_machine=m68000-hp ;; hp9k3[2-9][0-9]) basic_machine=m68k-hp ;; hp9k6[0-9][0-9] | hp6[0-9][0-9]) basic_machine=hppa1.0-hp ;; hp9k7[0-79][0-9] | hp7[0-79][0-9]) basic_machine=hppa1.1-hp ;; hp9k78[0-9] | hp78[0-9]) # FIXME: really hppa2.0-hp basic_machine=hppa1.1-hp ;; hp9k8[67]1 | hp8[67]1 | hp9k80[24] | hp80[24] | hp9k8[78]9 | hp8[78]9 | hp9k893 | hp893) # FIXME: really hppa2.0-hp basic_machine=hppa1.1-hp ;; hp9k8[0-9][13679] | hp8[0-9][13679]) basic_machine=hppa1.1-hp ;; hp9k8[0-9][0-9] | hp8[0-9][0-9]) basic_machine=hppa1.0-hp ;; hppa-next) os=-nextstep3 ;; hppaosf) basic_machine=hppa1.1-hp os=-osf ;; hppro) basic_machine=hppa1.1-hp os=-proelf ;; i370-ibm* | ibm*) basic_machine=i370-ibm ;; i*86v32) basic_machine=`echo $1 | sed -e 's/86.*/86-pc/'` os=-sysv32 ;; i*86v4*) basic_machine=`echo $1 | sed -e 's/86.*/86-pc/'` os=-sysv4 ;; i*86v) basic_machine=`echo $1 | sed -e 's/86.*/86-pc/'` os=-sysv ;; i*86sol2) basic_machine=`echo $1 | sed -e 's/86.*/86-pc/'` os=-solaris2 ;; i386mach) basic_machine=i386-mach os=-mach ;; i386-vsta | vsta) basic_machine=i386-unknown os=-vsta ;; iris | iris4d) basic_machine=mips-sgi case $os in -irix*) ;; *) os=-irix4 ;; esac ;; isi68 | isi) basic_machine=m68k-isi os=-sysv ;; leon-*|leon[3-9]-*) basic_machine=sparc-`echo $basic_machine | sed 's/-.*//'` ;; m68knommu) basic_machine=m68k-unknown os=-linux ;; m68knommu-*) basic_machine=m68k-`echo $basic_machine | sed 's/^[^-]*-//'` os=-linux ;; m88k-omron*) basic_machine=m88k-omron ;; magnum | m3230) basic_machine=mips-mips os=-sysv ;; merlin) basic_machine=ns32k-utek os=-sysv ;; microblaze*) basic_machine=microblaze-xilinx ;; mingw64) basic_machine=x86_64-pc os=-mingw64 ;; mingw32) basic_machine=i686-pc os=-mingw32 ;; mingw32ce) basic_machine=arm-unknown os=-mingw32ce ;; miniframe) basic_machine=m68000-convergent ;; *mint | -mint[0-9]* | *MiNT | *MiNT[0-9]*) basic_machine=m68k-atari os=-mint ;; mips3*-*) basic_machine=`echo $basic_machine | sed -e 's/mips3/mips64/'` ;; mips3*) basic_machine=`echo $basic_machine | sed -e 's/mips3/mips64/'`-unknown ;; monitor) basic_machine=m68k-rom68k os=-coff ;; morphos) basic_machine=powerpc-unknown os=-morphos ;; moxiebox) basic_machine=moxie-unknown os=-moxiebox ;; msdos) basic_machine=i386-pc os=-msdos ;; ms1-*) basic_machine=`echo $basic_machine | sed -e 's/ms1-/mt-/'` ;; msys) basic_machine=i686-pc os=-msys ;; mvs) basic_machine=i370-ibm os=-mvs ;; nacl) basic_machine=le32-unknown os=-nacl ;; ncr3000) basic_machine=i486-ncr os=-sysv4 ;; netbsd386) basic_machine=i386-unknown os=-netbsd ;; netwinder) basic_machine=armv4l-rebel os=-linux ;; news | news700 | news800 | news900) basic_machine=m68k-sony os=-newsos ;; news1000) basic_machine=m68030-sony os=-newsos ;; news-3600 | risc-news) basic_machine=mips-sony os=-newsos ;; necv70) basic_machine=v70-nec os=-sysv ;; next | m*-next ) basic_machine=m68k-next case $os in -nextstep* ) ;; -ns2*) os=-nextstep2 ;; *) os=-nextstep3 ;; esac ;; nh3000) basic_machine=m68k-harris os=-cxux ;; nh[45]000) basic_machine=m88k-harris os=-cxux ;; nindy960) basic_machine=i960-intel os=-nindy ;; mon960) basic_machine=i960-intel os=-mon960 ;; nonstopux) basic_machine=mips-compaq os=-nonstopux ;; np1) basic_machine=np1-gould ;; neo-tandem) basic_machine=neo-tandem ;; nse-tandem) basic_machine=nse-tandem ;; nsr-tandem) basic_machine=nsr-tandem ;; nsx-tandem) basic_machine=nsx-tandem ;; op50n-* | op60c-*) basic_machine=hppa1.1-oki os=-proelf ;; openrisc | openrisc-*) basic_machine=or32-unknown ;; os400) basic_machine=powerpc-ibm os=-os400 ;; OSE68000 | ose68000) basic_machine=m68000-ericsson os=-ose ;; os68k) basic_machine=m68k-none os=-os68k ;; pa-hitachi) basic_machine=hppa1.1-hitachi os=-hiuxwe2 ;; paragon) basic_machine=i860-intel os=-osf ;; parisc) basic_machine=hppa-unknown os=-linux ;; parisc-*) basic_machine=hppa-`echo $basic_machine | sed 's/^[^-]*-//'` os=-linux ;; pbd) basic_machine=sparc-tti ;; pbb) basic_machine=m68k-tti ;; pc532 | pc532-*) basic_machine=ns32k-pc532 ;; pc98) basic_machine=i386-pc ;; pc98-*) basic_machine=i386-`echo $basic_machine | sed 's/^[^-]*-//'` ;; pentium | p5 | k5 | k6 | nexgen | viac3) basic_machine=i586-pc ;; pentiumpro | p6 | 6x86 | athlon | athlon_*) basic_machine=i686-pc ;; pentiumii | pentium2 | pentiumiii | pentium3) basic_machine=i686-pc ;; pentium4) basic_machine=i786-pc ;; pentium-* | p5-* | k5-* | k6-* | nexgen-* | viac3-*) basic_machine=i586-`echo $basic_machine | sed 's/^[^-]*-//'` ;; pentiumpro-* | p6-* | 6x86-* | athlon-*) basic_machine=i686-`echo $basic_machine | sed 's/^[^-]*-//'` ;; pentiumii-* | pentium2-* | pentiumiii-* | pentium3-*) basic_machine=i686-`echo $basic_machine | sed 's/^[^-]*-//'` ;; pentium4-*) basic_machine=i786-`echo $basic_machine | sed 's/^[^-]*-//'` ;; pn) basic_machine=pn-gould ;; power) basic_machine=power-ibm ;; ppc | ppcbe) basic_machine=powerpc-unknown ;; ppc-* | ppcbe-*) basic_machine=powerpc-`echo $basic_machine | sed 's/^[^-]*-//'` ;; ppcle | powerpclittle) basic_machine=powerpcle-unknown ;; ppcle-* | powerpclittle-*) basic_machine=powerpcle-`echo $basic_machine | sed 's/^[^-]*-//'` ;; ppc64) basic_machine=powerpc64-unknown ;; ppc64-*) basic_machine=powerpc64-`echo $basic_machine | sed 's/^[^-]*-//'` ;; ppc64le | powerpc64little) basic_machine=powerpc64le-unknown ;; ppc64le-* | powerpc64little-*) basic_machine=powerpc64le-`echo $basic_machine | sed 's/^[^-]*-//'` ;; ps2) basic_machine=i386-ibm ;; pw32) basic_machine=i586-unknown os=-pw32 ;; rdos | rdos64) basic_machine=x86_64-pc os=-rdos ;; rdos32) basic_machine=i386-pc os=-rdos ;; rom68k) basic_machine=m68k-rom68k os=-coff ;; rm[46]00) basic_machine=mips-siemens ;; rtpc | rtpc-*) basic_machine=romp-ibm ;; s390 | s390-*) basic_machine=s390-ibm ;; s390x | s390x-*) basic_machine=s390x-ibm ;; sa29200) basic_machine=a29k-amd os=-udi ;; sb1) basic_machine=mipsisa64sb1-unknown ;; sb1el) basic_machine=mipsisa64sb1el-unknown ;; sde) basic_machine=mipsisa32-sde os=-elf ;; sei) basic_machine=mips-sei os=-seiux ;; sequent) basic_machine=i386-sequent ;; sh) basic_machine=sh-hitachi os=-hms ;; sh5el) basic_machine=sh5le-unknown ;; sh64) basic_machine=sh64-unknown ;; sparclite-wrs | simso-wrs) basic_machine=sparclite-wrs os=-vxworks ;; sps7) basic_machine=m68k-bull os=-sysv2 ;; spur) basic_machine=spur-unknown ;; st2000) basic_machine=m68k-tandem ;; stratus) basic_machine=i860-stratus os=-sysv4 ;; strongarm-* | thumb-*) basic_machine=arm-`echo $basic_machine | sed 's/^[^-]*-//'` ;; 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"$@" ret=$? if test -f "$cofile"; then test "$cofile" = "$ofile" || mv "$cofile" "$ofile" elif test -f "${cofile}bj"; then test "${cofile}bj" = "$ofile" || mv "${cofile}bj" "$ofile" fi rmdir "$lockdir" exit $ret # Local Variables: # mode: shell-script # sh-indentation: 2 # eval: (add-hook 'write-file-hooks 'time-stamp) # time-stamp-start: "scriptversion=" # time-stamp-format: "%:y-%02m-%02d.%02H" # time-stamp-time-zone: "UTC0" # time-stamp-end: "; # UTC" # End: nq-2.5.4/examples/G3.out0000664000371700037170000003523313441553627016212 0ustar gap-jenkinsgap-jenkins# # Calculating a nilpotent quotient # Nilpotency class: 20 # Size of exponents: 8 bytes # # Calculating the abelian quotient ... # The abelian quotient has 3 generators # with the following exponents: 0 0 0 # # Calculating the class 2 quotient ... ## Sizes: 3 6 # Maximal entry: 0 # Layer 2 of the lower central series has 2 generators # with the following exponents: 0 0 # # Calculating the class 3 quotient ... ## Sizes: 3 5 12 # Maximal entry: 0 # Layer 3 of the lower central series has 1 generators # with the following exponents: 0 # # Calculating the class 4 quotient ... ## Sizes: 3 5 6 15 # Maximal entry: 0 # Layer 4 of the lower central series has 1 generators # with the following exponents: 2 # # Calculating the class 5 quotient ... ## Sizes: 3 5 6 7 19 # Maximal entry: 1 # Layer 5 of the lower central series has 2 generators # with the following exponents: 2 2 # # Calculating the class 6 quotient ... ## Sizes: 3 5 6 7 9 27 # Maximal entry: 4 # Layer 6 of the lower central series has 1 generators # with the following exponents: 2 # # Calculating the class 7 quotient ... ## Sizes: 3 5 6 7 9 10 31 # Maximal entry: 4 # Layer 7 of the lower central series has 1 generators # with the following exponents: 2 # # Calculating the class 8 quotient ... ## Sizes: 3 5 6 7 9 10 11 35 # Maximal entry: 5 # Layer 8 of the lower central series has 1 generators # with the following exponents: 2 # # Calculating the class 9 quotient ... ## Sizes: 3 5 6 7 9 10 11 12 39 # Maximal entry: 4 # Layer 9 of the lower central series has 1 generators # with the following exponents: 2 # # Calculating the class 10 quotient ... ## Sizes: 3 5 6 7 9 10 11 12 13 43 # Maximal entry: 18 # Layer 10 of the lower central series has 1 generators # with the following exponents: 2 # # Calculating the class 11 quotient ... ## Sizes: 3 5 6 7 9 10 11 12 13 14 47 # Maximal entry: 11 # Layer 11 of the lower central series has 1 generators # with the following exponents: 2 # # Calculating the class 12 quotient ... ## Sizes: 3 5 6 7 9 10 11 12 13 14 15 51 # Maximal entry: 12 # Layer 12 of the lower central series has 1 generators # with the following exponents: 2 # # Calculating the class 13 quotient ... ## Sizes: 3 5 6 7 9 10 11 12 13 14 15 16 55 # Maximal entry: 15 # Layer 13 of the lower central series has 1 generators # with the following exponents: 2 # # Calculating the class 14 quotient ... ## Sizes: 3 5 6 7 9 10 11 12 13 14 15 16 17 59 # Maximal entry: 20 # Layer 14 of the lower central series has 1 generators # with the following exponents: 2 # # Calculating the class 15 quotient ... ## Sizes: 3 5 6 7 9 10 11 12 13 14 15 16 17 18 63 # Maximal entry: 30 # Layer 15 of the lower central series has 1 generators # with the following exponents: 2 # # Calculating the class 16 quotient ... ## Sizes: 3 5 6 7 9 10 11 12 13 14 15 16 17 18 19 67 # Maximal entry: 44 # Layer 16 of the lower central series has 1 generators # with the following exponents: 2 # # Calculating the class 17 quotient ... ## Sizes: 3 5 6 7 9 10 11 12 13 14 15 16 17 18 19 20 71 # Maximal entry: 52 # Layer 17 of the lower central series has 1 generators # with the following exponents: 2 # # Calculating the class 18 quotient ... ## Sizes: 3 5 6 7 9 10 11 12 13 14 15 16 17 18 19 20 21 75 # Maximal entry: 175 # Layer 18 of the lower central series has 1 generators # with the following exponents: 2 # # Calculating the class 19 quotient ... ## Sizes: 3 5 6 7 9 10 11 12 13 14 15 16 17 18 19 20 21 22 79 # Maximal entry: 175 # Layer 19 of the lower central series has 1 generators # with the following exponents: 2 # # Calculating the class 20 quotient ... ## Sizes: 3 5 6 7 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 83 # Maximal entry: 434 # Layer 20 of the lower central series has 1 generators # with the following exponents: 2 # # The epimorphism : # e1 |---> A # e2 |---> B # e3 |---> C # The nilpotent quotient : # Class : 20 # Nr of generators of each class : 3 2 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 # The definitions: # D := [ B, A ] # E := [ C, B ] # F := [ C, B, A ] # G := [ C, B, A, B ] # H := [ C, B, A, B, A ] # I := [ C, B, A, B, C ] # J := [ C, B, A, B, C, B ] # K := [ C, B, A, B, C, B, C ] # L := [ C, B, A, B, C, B, C, B ] # M := [ C, B, A, B, C, B, C, B, C ] # N := [ C, B, A, B, C, B, C, B, C, B ] # O := [ C, B, A, B, C, B, C, B, C, B, C ] # P := [ C, B, A, B, C, B, C, B, C, B, C, B ] # Q := [ C, B, A, B, C, B, C, B, C, B, C, B, C ] # R := [ C, B, A, B, C, B, C, B, C, B, C, B, C, B ] # S := [ C, B, A, B, C, B, C, B, C, B, C, B, C, B, C ] # T := [ C, B, A, B, C, B, C, B, C, B, C, B, C, B, C, B ] # U := [ C, B, A, B, C, B, C, B, C, B, C, B, C, B, C, B, C ] # V := [ C, B, A, B, C, B, C, B, C, B, C, B, C, B, C, B, C, B ] # W := [ C, B, A, B, C, B, C, B, C, B, C, B, C, B, C, B, C, B, C ] # X := [ C, B, A, B, C, B, C, B, C, B, C, B, C, B, C, B, C, B, C, B ] nq-2.5.4/examples/G2.out0000664000371700037170000001220213441553627016200 0ustar gap-jenkinsgap-jenkins# # Calculating a nilpotent quotient # Nilpotency class: 11 # Size of exponents: 8 bytes # # Calculating the abelian quotient ... # The abelian quotient has 2 generators # with the following exponents: 0 0 # # Calculating the class 2 quotient ... ## Sizes: 2 3 # Layer 2 of the lower central series has 1 generators # with the following exponents: 0 # # Calculating the class 3 quotient ... ## Sizes: 2 3 5 # Maximal entry: 0 # Layer 3 of the lower central series has 1 generators # with the following exponents: 0 # # Calculating the class 4 quotient ... ## Sizes: 2 3 4 7 # Maximal entry: 0 # Layer 4 of the lower central series has 1 generators # with the following exponents: 0 # # Calculating the class 5 quotient ... ## Sizes: 2 3 4 5 9 # Maximal entry: 0 # Layer 5 of the lower central series has 1 generators # with the following exponents: 0 # # Calculating the class 6 quotient ... ## Sizes: 2 3 4 5 6 11 # Maximal entry: 0 # Layer 6 of the lower central series has 1 generators # with the following exponents: 2 # # Calculating the class 7 quotient ... ## Sizes: 2 3 4 5 6 7 14 # Maximal entry: 0 # Layer 7 of the lower central series has 2 generators # with the following exponents: 2 2 # # Calculating the class 8 quotient ... ## Sizes: 2 3 4 5 6 7 9 20 # Maximal entry: 2 # Layer 8 of the lower central series has 2 generators # with the following exponents: 2 2 # # Calculating the class 9 quotient ... ## Sizes: 2 3 4 5 6 7 9 11 26 # Maximal entry: 4 # Layer 9 of the lower central series has 2 generators # with the following exponents: 2 2 # # Calculating the class 10 quotient ... ## Sizes: 2 3 4 5 6 7 9 11 13 32 # Maximal entry: 4 # Layer 10 of the lower central series has 1 generators # with the following exponents: 2 # # Calculating the class 11 quotient ... ## Sizes: 2 3 4 5 6 7 9 11 13 14 35 # Integer matrix is the identity. # Maximal entry: 5 # The epimorphism : # e1 |---> A # e2 |---> B # The nilpotent quotient : # Class : 10 # Nr of generators of each class : 2 1 1 1 1 1 2 2 2 1 # The definitions: # C := [ B, A ] # D := [ B, A, B ] # E := [ B, A, B, B ] # F := [ B, A, B, B, A ] # G := [ B, A, B, B, A, B ] # H := [ B, A, B, B, A, B, A ] # I := [ B, A, B, B, A, B, B ] # J := [ B, A, B, B, A, B, A, B ] # K := [ B, A, B, B, A, B, B, A ] # L := [ B, A, B, B, A, B, A, B, A ] # M := [ B, A, B, B, A, B, B, A, B ] # N := [ B, A, B, B, A, B, A, B, A, B ] nq-2.5.4/examples/G1.out0000664000371700037170000045631413441553627016217 0ustar gap-jenkinsgap-jenkins# # Calculating a nilpotent quotient # Nilpotency class: 18 # Size of exponents: 8 bytes # # Calculating the abelian quotient ... # The abelian quotient has 2 generators # with the following exponents: 0 0 # # Calculating the class 2 quotient ... ## Sizes: 2 3 # Layer 2 of the lower central series has 1 generators # with the following exponents: 0 # # Calculating the class 3 quotient ... ## Sizes: 2 3 5 # Maximal entry: 0 # Layer 3 of the lower central series has 1 generators # with the following exponents: 0 # # Calculating the class 4 quotient ... ## Sizes: 2 3 4 7 # Maximal entry: 0 # Layer 4 of the lower central series has 1 generators # with the following exponents: 0 # # Calculating the class 5 quotient ... ## Sizes: 2 3 4 5 9 # Maximal entry: 0 # Layer 5 of the lower central series has 2 generators # with the following exponents: 0 0 # # Calculating the class 6 quotient ... ## Sizes: 2 3 4 5 7 13 # Maximal entry: 0 # Layer 6 of the lower central series has 2 generators # with the following exponents: 2 0 # # Calculating the class 7 quotient ... ## Sizes: 2 3 4 5 7 9 18 # Maximal entry: 0 # Layer 7 of the lower central series has 4 generators # with the following exponents: 2 2 0 0 # # Calculating the class 8 quotient ... ## Sizes: 2 3 4 5 7 9 13 28 # Maximal entry: 5 # Layer 8 of the lower central series has 4 generators # with the following exponents: 2 2 0 5 # # Calculating the class 9 quotient ... ## Sizes: 2 3 4 5 7 9 13 17 39 # Maximal entry: 9 # Layer 9 of the lower central series has 7 generators # with the following exponents: 2 2 2 3 0 5 5 # # Calculating the class 10 quotient ... ## Sizes: 2 3 4 5 7 9 13 17 24 59 # Maximal entry: 20 # Layer 10 of the lower central series has 8 generators # with the following exponents: 2 2 2 2 3 0 5 5 # # Calculating the class 11 quotient ... ## Sizes: 2 3 4 5 7 9 13 17 24 32 82 # Maximal entry: 139 # Layer 11 of the lower central series has 12 generators # with the following exponents: 2 2 2 2 2 2 3 0 0 5 5 5 # # Calculating the class 12 quotient ... ## Sizes: 2 3 4 5 7 9 13 17 24 32 44 116 # Maximal entry: 49543 # Layer 12 of the lower central series has 12 generators # with the following exponents: 2 2 2 2 2 2 2 0 3 5 5 5 # # Calculating the class 13 quotient ... ## Sizes: 2 3 4 5 7 9 13 17 24 32 44 56 151 # Maximal entry: 354578066099075971 # Layer 13 of the lower central series has 15 generators # with the following exponents: 2 2 2 2 2 2 2 2 2 50 0 5 5 5 5 # # Calculating the class 14 quotient ... ## Sizes: 2 3 4 5 7 9 13 17 24 32 44 56 71 195 # Maximal entry: 18016251070704972763000910264382716 # Layer 14 of the lower central series has 13 generators # with the following exponents: 2 2 2 2 2 2 2 2 100 5 5 5 5 # # Calculating the class 15 quotient ... ## Sizes: 2 3 4 5 7 9 13 17 24 32 44 56 71 84 234 # Maximal entry: 10361281856067876516354131477 # Layer 15 of the lower central series has 14 generators # with the following exponents: 2 2 2 2 2 2 2 2 100 5 5 5 5 5 # # Calculating the class 16 quotient ... ## Sizes: 2 3 4 5 7 9 13 17 24 32 44 56 71 84 98 276 # Maximal entry: 41339256380668970446092068342075740599349 # Layer 16 of the lower central series has 11 generators # with the following exponents: 2 2 2 2 2 2 2 100 5 5 5 # # Calculating the class 17 quotient ... ## Sizes: 2 3 4 5 7 9 13 17 24 32 44 56 71 84 98 109 309 # Maximal entry: 21480461043909098186341983695251485287273 # Layer 17 of the lower central series has 11 generators # with the following exponents: 2 2 2 2 2 2 2 25 25 5 5 # # Calculating the class 18 quotient ... ## Sizes: 2 3 4 5 7 9 13 17 24 32 44 56 71 84 98 109 120 342 # Maximal entry: 3761929186163522007005391901218721341707 # Layer 18 of the lower central series has 7 generators # with the following exponents: 2 2 2 2 2 2 5 # # The epimorphism : # e1 |---> A # e2 |---> B # The nilpotent quotient : # Class : 18 # Nr of generators of each class : 2 1 1 1 2 2 4 4 7 8 12 12 15 13 14 11 11 7 # The definitions: # C := [ B, A ] # D := [ B, A, B ] # E := [ B, A, B, B ] # F := [ B, A, B, B, A ] # G := [ B, A, B, B, B ] # H := [ B, A, B, B, A, B ] # I := [ B, A, B, B, B, A ] # J := [ B, A, B, B, A, B, A ] # K := [ B, A, B, B, A, B, B ] # L := [ B, A, B, B, B, A, A ] # M := [ B, A, B, B, B, A, B ] # N := [ B, A, B, B, A, B, A, B ] # O := [ B, A, B, B, A, B, B, A ] # P := [ B, A, B, B, B, A, B, A ] # Q := [ B, A, B, B, B, A, B, B ] # R := [ B, A, B, B, A, B, A, B, A ] # S := [ B, A, B, B, A, B, A, B, B ] # T := [ B, A, B, B, A, B, B, A, B ] # U := [ B, A, B, B, B, A, B, A, A ] # V := [ B, A, B, B, B, A, B, A, B ] # W := [ B, A, B, B, B, A, B, B, A ] # X := [ B, A, B, B, B, A, B, B, B ] # Y := [ B, A, B, B, A, B, A, B, A, B ] # Z := [ B, A, B, B, A, B, A, B, B, B ] # A1 := [ B, A, B, B, A, B, B, A, B, A ] # B1 := [ B, A, B, B, A, B, B, A, B, B ] # C1 := [ B, A, B, B, B, A, B, A, B, A ] # D1 := [ B, A, B, B, B, A, B, A, B, B ] # E1 := [ B, A, B, B, B, A, B, B, A, B ] # F1 := [ B, A, B, B, B, A, B, B, B, A ] # G1 := [ B, A, B, B, A, B, A, B, A, B, A ] # H1 := [ B, A, B, B, A, B, A, B, A, B, B ] # I1 := [ B, A, B, B, A, B, A, B, B, B, A ] # J1 := [ B, A, B, B, A, B, B, A, B, A, B ] # K1 := [ B, A, B, B, A, B, B, A, B, B, A ] # L1 := [ B, A, B, B, A, B, B, A, B, B, B ] # M1 := [ B, A, B, B, B, A, B, A, B, A, B ] # N1 := [ B, A, B, B, B, A, B, A, B, B, A ] # O1 := [ B, A, B, B, B, A, B, A, B, B, B ] # P1 := [ B, A, B, B, B, A, B, B, A, B, B ] # Q1 := [ B, A, B, B, B, A, B, B, B, A, A ] # R1 := [ B, A, B, B, B, A, B, B, B, A, B ] # S1 := [ B, A, B, B, A, B, A, B, A, B, A, B ] # T1 := [ B, A, B, B, A, B, A, B, B, B, A, B ] # U1 := [ B, A, B, B, A, B, B, A, B, A, B, A ] # V1 := [ B, A, B, B, A, B, B, A, B, A, B, B ] # W1 := [ B, A, B, B, A, B, B, A, B, B, A, B ] # X1 := [ B, A, B, B, A, B, B, A, B, B, B, A ] # Y1 := [ B, A, B, B, B, A, B, A, B, B, A, B ] # Z1 := [ B, A, B, B, B, A, B, A, B, B, B, A ] # A2 := [ B, A, B, B, B, A, B, A, B, B, B, B ] # B2 := [ B, A, B, B, B, A, B, B, A, B, B, A ] # C2 := [ B, A, B, B, B, A, B, B, B, A, B, A ] # D2 := [ B, A, B, B, B, A, B, B, B, A, B, B ] # E2 := [ B, A, B, B, A, B, A, B, A, B, A, B, A ] # F2 := [ B, A, B, B, A, B, A, B, A, B, A, B, B ] # G2 := [ B, A, B, B, A, B, A, B, B, B, A, B, A ] # H2 := [ B, A, B, B, A, B, A, B, B, B, A, B, B ] # I2 := [ B, A, B, B, A, B, B, A, B, B, A, B, A ] # J2 := [ B, A, B, B, A, B, B, A, B, B, A, B, B ] # K2 := [ B, A, B, B, A, B, B, A, B, B, B, A, B ] # L2 := [ B, A, B, B, B, A, B, A, B, B, A, B, A ] # M2 := [ B, A, B, B, B, A, B, A, B, B, A, B, B ] # N2 := [ B, A, B, B, B, A, B, A, B, B, B, A, A ] # O2 := [ B, A, B, B, B, A, B, A, B, B, B, A, B ] # P2 := [ B, A, B, B, B, A, B, B, A, B, B, A, B ] # Q2 := [ B, A, B, B, B, A, B, B, B, A, B, A, B ] # R2 := [ B, A, B, B, B, A, B, B, B, A, B, B, A ] # S2 := [ B, A, B, B, B, A, B, B, B, A, B, B, B ] # T2 := [ B, A, B, B, A, B, A, B, A, B, A, B, A, B ] # U2 := [ B, A, B, B, A, B, A, B, A, B, A, B, B, B ] # V2 := [ B, A, B, B, A, B, A, B, B, B, A, B, A, B ] # W2 := [ B, A, B, B, A, B, A, B, B, B, A, B, B, B ] # X2 := [ B, A, B, B, A, B, B, A, B, B, A, B, B, A ] # Y2 := [ B, A, B, B, A, B, B, A, B, B, B, A, B, A ] # Z2 := [ B, A, B, B, A, B, B, A, B, B, B, A, B, B ] # A3 := [ B, A, B, B, B, A, B, A, B, B, A, B, B, A ] # B3 := [ B, A, B, B, B, A, B, A, B, B, B, A, B, A ] # C3 := [ B, A, B, B, B, A, B, B, B, A, B, A, B, B ] # D3 := [ B, A, B, B, B, A, B, B, B, A, B, B, A, A ] # E3 := [ B, A, B, B, B, A, B, B, B, A, B, B, A, B ] # F3 := [ B, A, B, B, B, A, B, B, B, A, B, B, B, A ] # G3 := [ B, A, B, B, A, B, A, B, A, B, A, B, A, B, A ] # H3 := [ B, A, B, B, A, B, A, B, A, B, A, B, B, B, A ] # I3 := [ B, A, B, B, A, B, A, B, B, B, A, B, A, B, A ] # J3 := [ B, A, B, B, A, B, A, B, B, B, A, B, A, B, B ] # K3 := [ B, A, B, B, A, B, B, A, B, B, A, B, B, A, B ] # L3 := [ B, A, B, B, A, B, B, A, B, B, B, A, B, A, B ] # M3 := [ B, A, B, B, A, B, B, A, B, B, B, A, B, B, B ] # N3 := [ B, A, B, B, B, A, B, A, B, B, A, B, B, A, B ] # O3 := [ B, A, B, B, B, A, B, A, B, B, B, A, B, A, B ] # P3 := [ B, A, B, B, B, A, B, B, B, A, B, A, B, B, B ] # Q3 := [ B, A, B, B, B, A, B, B, B, A, B, B, A, B, A ] # R3 := [ B, A, B, B, B, A, B, B, B, A, B, B, A, B, B ] # S3 := [ B, A, B, B, B, A, B, B, B, A, B, B, B, A, A ] # T3 := [ B, A, B, B, B, A, B, B, B, A, B, B, B, A, B ] # U3 := [ B, A, B, B, A, B, A, B, A, B, A, B, A, B, A, B ] # V3 := [ B, A, B, B, A, B, A, B, A, B, A, B, B, B, A, B ] # W3 := [ B, A, B, B, A, B, A, B, B, B, A, B, A, B, A, B ] # X3 := [ B, A, B, B, A, B, A, B, B, B, A, B, A, B, B, B ] # Y3 := [ B, A, B, B, A, B, B, A, B, B, A, B, B, A, B, B ] # Z3 := [ B, A, B, B, A, B, B, A, B, B, B, A, B, A, B, B ] # A4 := [ B, A, B, B, B, A, B, A, B, B, A, B, B, A, B, B ] # B4 := [ B, A, B, B, B, A, B, A, B, B, B, A, B, A, B, B ] # C4 := [ B, A, B, B, B, A, B, B, B, A, B, A, B, B, B, A ] # D4 := [ B, A, B, B, B, A, B, B, B, A, B, B, A, B, B, B ] # E4 := [ B, A, B, B, B, A, B, B, B, A, B, B, B, A, B, A ] # F4 := [ B, A, B, B, A, B, A, B, A, B, A, B, A, B, A, B, A ] # G4 := [ B, A, B, B, A, B, A, B, A, B, A, B, A, B, A, B, B ] # H4 := [ B, A, B, B, A, B, A, B, A, B, A, B, B, B, A, B, A ] # I4 := [ B, A, B, B, A, B, A, B, B, B, A, B, A, B, A, B, A ] # J4 := [ B, A, B, B, A, B, A, B, B, B, A, B, A, B, A, B, B ] # K4 := [ B, A, B, B, A, B, A, B, B, B, A, B, A, B, B, B, A ] # L4 := [ B, A, B, B, A, B, B, A, B, B, B, A, B, A, B, B, B ] # M4 := [ B, A, B, B, B, A, B, A, B, B, B, A, B, A, B, B, A ] # N4 := [ B, A, B, B, B, A, B, A, B, B, B, A, B, A, B, B, B ] # O4 := [ B, A, B, B, B, A, B, B, B, A, B, B, A, B, B, B, A ] # P4 := [ B, A, B, B, B, A, B, B, B, A, B, B, B, A, B, A, B ] # Q4 := [ B, A, B, B, A, B, A, B, A, B, A, B, A, B, A, B, A, B ] # R4 := [ B, A, B, B, A, B, A, B, A, B, A, B, A, B, A, B, B, B ] # S4 := [ B, A, B, B, A, B, A, B, A, B, A, B, B, B, A, B, A, B ] # T4 := [ B, A, B, B, A, B, A, B, B, B, A, B, A, B, A, B, A, B ] # U4 := [ B, A, B, B, A, B, A, B, B, B, A, B, A, B, A, B, B, B ] # V4 := [ B, A, B, B, A, B, A, B, B, B, A, B, A, B, B, B, A, B ] # W4 := [ B, A, B, B, B, A, B, A, B, B, B, A, B, A, B, B, B, A ] nq-2.5.4/examples/G5.out0000664000371700037170000027077513441553627016230 0ustar gap-jenkinsgap-jenkins# # Calculating a nilpotent quotient # Nilpotency class: 12 # Size of exponents: 8 bytes # # Calculating the abelian quotient ... # The abelian quotient has 3 generators # with the following exponents: 0 0 0 # # Calculating the class 2 quotient ... ## Sizes: 3 6 # Maximal entry: 0 # Layer 2 of the lower central series has 2 generators # with the following exponents: 0 0 # # Calculating the class 3 quotient ... ## Sizes: 3 5 12 # Maximal entry: 0 # Layer 3 of the lower central series has 3 generators # with the following exponents: 0 0 0 # # Calculating the class 4 quotient ... ## Sizes: 3 5 8 21 # Maximal entry: 0 # Layer 4 of the lower central series has 3 generators # with the following exponents: 0 2 0 # # Calculating the class 5 quotient ... ## Sizes: 3 5 8 11 31 # Maximal entry: 3 # Layer 5 of the lower central series has 4 generators # with the following exponents: 0 2 0 3 # # Calculating the class 6 quotient ... ## Sizes: 3 5 8 11 15 45 # Maximal entry: 4 # Layer 6 of the lower central series has 7 generators # with the following exponents: 3 2 2 0 0 3 3 # # Calculating the class 7 quotient ... ## Sizes: 3 5 8 11 15 22 71 # Maximal entry: 7 # Layer 7 of the lower central series has 11 generators # with the following exponents: 3 2 2 2 2 0 0 3 3 3 3 # # Calculating the class 8 quotient ... ## Sizes: 3 5 8 11 15 22 33 113 # Maximal entry: 26 # Layer 8 of the lower central series has 12 generators # with the following exponents: 3 2 2 2 2 2 0 3 3 3 3 3 # # Calculating the class 9 quotient ... ## Sizes: 3 5 8 11 15 22 33 45 160 # Maximal entry: 2464 # Layer 9 of the lower central series has 14 generators # with the following exponents: 3 3 2 2 2 5 0 3 3 3 3 3 3 3 # # Calculating the class 10 quotient ... ## Sizes: 3 5 8 11 15 22 33 45 59 215 # Maximal entry: 7777938 # Layer 10 of the lower central series has 18 generators # with the following exponents: 3 3 2 2 2 5 3 3 3 3 3 3 3 3 3 3 3 3 # # Calculating the class 11 quotient ... ## Sizes: 3 5 8 11 15 22 33 45 59 77 287 # Maximal entry: 1904243 # Layer 11 of the lower central series has 22 generators # with the following exponents: 3 3 3 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 # # Calculating the class 12 quotient ... ## Sizes: 3 5 8 11 15 22 33 45 59 77 99 375 # Maximal entry: 76633486 # Layer 12 of the lower central series has 26 generators # with the following exponents: 3 3 3 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 # # The epimorphism : # e1 |---> A # e2 |---> B # e3 |---> C # The nilpotent quotient : # Class : 12 # Nr of generators of each class : 3 2 3 3 4 7 11 12 14 18 22 26 # The definitions: # D := [ B, A ] # E := [ C, B ] # F := [ B, A, A ] # G := [ C, B, A ] # H := [ C, B, B ] # I := [ C, B, A, A ] # J := [ C, B, A, B ] # K := [ C, B, B, A ] # L := [ C, B, A, A, B ] # M := [ C, B, A, B, A ] # N := [ C, B, B, A, A ] # O := [ C, B, B, A, B ] # P := [ C, B, A, A, B, A ] # Q := [ C, B, A, B, A, A ] # R := [ C, B, A, B, A, B ] # S := [ C, B, B, A, A, A ] # T := [ C, B, B, A, A, B ] # U := [ C, B, B, A, B, A ] # V := [ C, B, B, A, B, C ] # W := [ C, B, A, A, B, A, A ] # X := [ C, B, A, B, A, A, A ] # Y := [ C, B, A, B, A, A, B ] # Z := [ C, B, A, B, A, B, A ] # A1 := [ C, B, A, B, A, B, C ] # B1 := [ C, B, B, A, A, A, A ] # C1 := [ C, B, B, A, A, B, A ] # D1 := [ C, B, B, A, B, A, A ] # E1 := [ C, B, B, A, B, A, B ] # F1 := [ C, B, B, A, B, C, A ] # G1 := [ C, B, B, A, B, C, B ] # H1 := [ C, B, A, A, B, A, A, B ] # I1 := [ C, B, A, B, A, A, B, A ] # J1 := [ C, B, A, B, A, A, B, C ] # K1 := [ C, B, A, B, A, B, A, A ] # L1 := [ C, B, A, B, A, B, A, B ] # M1 := [ C, B, A, B, A, B, C, A ] # N1 := [ C, B, B, A, A, B, A, A ] # O1 := [ C, B, B, A, B, A, A, A ] # P1 := [ C, B, B, A, B, A, B, A ] # Q1 := [ C, B, B, A, B, C, A, B ] # R1 := [ C, B, B, A, B, C, B, A ] # S1 := [ C, B, B, A, B, C, B, B ] # T1 := [ C, B, A, A, B, A, A, B, A ] # U1 := [ C, B, A, A, B, A, A, B, C ] # V1 := [ C, B, A, B, A, A, B, A, A ] # W1 := [ C, B, A, B, A, A, B, C, B ] # X1 := [ C, B, A, B, A, B, A, A, B ] # Y1 := [ C, B, B, A, A, B, A, A, A ] # Z1 := [ C, B, B, A, A, B, A, A, B ] # A2 := [ C, B, B, A, B, A, A, A, A ] # B2 := [ C, B, B, A, B, A, B, A, A ] # C2 := [ C, B, B, A, B, C, A, B, A ] # D2 := [ C, B, B, A, B, C, B, A, A ] # E2 := [ C, B, B, A, B, C, B, A, B ] # F2 := [ C, B, B, A, B, C, B, B, A ] # G2 := [ C, B, B, A, B, C, B, B, C ] # H2 := [ C, B, A, A, B, A, A, B, A, A ] # I2 := [ C, B, A, A, B, A, A, B, C, A ] # J2 := [ C, B, A, B, A, A, B, A, A, A ] # K2 := [ C, B, A, B, A, A, B, A, A, B ] # L2 := [ C, B, A, B, A, A, B, C, B, A ] # M2 := [ C, B, B, A, A, B, A, A, A, A ] # N2 := [ C, B, B, A, A, B, A, A, B, A ] # O2 := [ C, B, B, A, A, B, A, A, B, C ] # P2 := [ C, B, B, A, B, A, A, A, A, A ] # Q2 := [ C, B, B, A, B, A, B, A, A, A ] # R2 := [ C, B, B, A, B, A, B, A, A, B ] # S2 := [ C, B, B, A, B, C, A, B, A, A ] # T2 := [ C, B, B, A, B, C, B, A, A, B ] # U2 := [ C, B, B, A, B, C, B, A, B, A ] # V2 := [ C, B, B, A, B, C, B, B, A, A ] # W2 := [ C, B, B, A, B, C, B, B, A, B ] # X2 := [ C, B, B, A, B, C, B, B, C, A ] # Y2 := [ C, B, B, A, B, C, B, B, C, B ] # Z2 := [ C, B, A, A, B, A, A, B, A, A, B ] # A3 := [ C, B, A, A, B, A, A, B, C, A, A ] # B3 := [ C, B, A, A, B, A, A, B, C, A, B ] # C3 := [ C, B, A, B, A, A, B, A, A, B, A ] # D3 := [ C, B, A, B, A, A, B, C, B, A, A ] # E3 := [ C, B, A, B, A, A, B, C, B, A, B ] # F3 := [ C, B, B, A, A, B, A, A, B, A, A ] # G3 := [ C, B, B, A, A, B, A, A, B, C, A ] # H3 := [ C, B, B, A, A, B, A, A, B, C, B ] # I3 := [ C, B, B, A, B, A, B, A, A, A, A ] # J3 := [ C, B, B, A, B, A, B, A, A, B, A ] # K3 := [ C, B, B, A, B, A, B, A, A, B, C ] # L3 := [ C, B, B, A, B, C, A, B, A, A, B ] # M3 := [ C, B, B, A, B, C, B, A, A, B, A ] # N3 := [ C, B, B, A, B, C, B, A, B, A, A ] # O3 := [ C, B, B, A, B, C, B, A, B, A, B ] # P3 := [ C, B, B, A, B, C, B, B, A, A, B ] # Q3 := [ C, B, B, A, B, C, B, B, A, B, A ] # R3 := [ C, B, B, A, B, C, B, B, A, B, C ] # S3 := [ C, B, B, A, B, C, B, B, C, A, B ] # T3 := [ C, B, B, A, B, C, B, B, C, B, A ] # U3 := [ C, B, B, A, B, C, B, B, C, B, B ] # V3 := [ C, B, A, A, B, A, A, B, A, A, B, A ] # W3 := [ C, B, A, A, B, A, A, B, C, A, A, B ] # X3 := [ C, B, A, A, B, A, A, B, C, A, B, A ] # Y3 := [ C, B, A, B, A, A, B, A, A, B, A, A ] # Z3 := [ C, B, A, B, A, A, B, C, B, A, B, A ] # A4 := [ C, B, A, B, A, A, B, C, B, A, B, C ] # B4 := [ C, B, B, A, A, B, A, A, B, C, A, A ] # C4 := [ C, B, B, A, A, B, A, A, B, C, A, B ] # D4 := [ C, B, B, A, A, B, A, A, B, C, B, A ] # E4 := [ C, B, B, A, B, A, B, A, A, B, A, A ] # F4 := [ C, B, B, A, B, A, B, A, A, B, C, A ] # G4 := [ C, B, B, A, B, A, B, A, A, B, C, B ] # H4 := [ C, B, B, A, B, C, A, B, A, A, B, A ] # I4 := [ C, B, B, A, B, C, A, B, A, A, B, C ] # J4 := [ C, B, B, A, B, C, B, A, A, B, A, A ] # K4 := [ C, B, B, A, B, C, B, A, B, A, A, B ] # L4 := [ C, B, B, A, B, C, B, B, A, A, B, A ] # M4 := [ C, B, B, A, B, C, B, B, A, A, B, C ] # N4 := [ C, B, B, A, B, C, B, B, A, B, A, A ] # O4 := [ C, B, B, A, B, C, B, B, A, B, A, B ] # P4 := [ C, B, B, A, B, C, B, B, A, B, C, A ] # Q4 := [ C, B, B, A, B, C, B, B, A, B, C, B ] # R4 := [ C, B, B, A, B, C, B, B, C, A, B, A ] # S4 := [ C, B, B, A, B, C, B, B, C, B, A, B ] # T4 := [ C, B, B, A, B, C, B, B, C, B, B, A ] # U4 := [ C, B, B, A, B, C, B, B, C, B, B, C ] nq-2.5.4/examples/G4.out0000664000371700037170000026301513441553627016214 0ustar gap-jenkinsgap-jenkins# # Calculating a nilpotent quotient # Nilpotency class: 12 # Size of exponents: 8 bytes # # Calculating the abelian quotient ... # The abelian quotient has 4 generators # with the following exponents: 0 0 0 0 # # Calculating the class 2 quotient ... ## Sizes: 4 10 # Maximal entry: 0 # Layer 2 of the lower central series has 3 generators # with the following exponents: 0 0 0 # # Calculating the class 3 quotient ... ## Sizes: 4 7 22 # Maximal entry: 0 # Layer 3 of the lower central series has 3 generators # with the following exponents: 0 0 0 # # Calculating the class 4 quotient ... ## Sizes: 4 7 10 34 # Maximal entry: 0 # Layer 4 of the lower central series has 3 generators # with the following exponents: 0 0 0 # # Calculating the class 5 quotient ... ## Sizes: 4 7 10 13 46 # Maximal entry: 2 # Layer 5 of the lower central series has 4 generators # with the following exponents: 0 2 3 0 # # Calculating the class 6 quotient ... ## Sizes: 4 7 10 13 17 64 # Maximal entry: 6 # Layer 6 of the lower central series has 6 generators # with the following exponents: 2 2 3 3 0 6 # # Calculating the class 7 quotient ... ## Sizes: 4 7 10 13 17 23 93 # Maximal entry: 14 # Layer 7 of the lower central series has 9 generators # with the following exponents: 2 2 2 3 3 6 2 3 6 # # Calculating the class 8 quotient ... ## Sizes: 4 7 10 13 17 23 32 138 # Maximal entry: 36 # Layer 8 of the lower central series has 13 generators # with the following exponents: 2 2 2 2 3 3 3 2 2 3 3 6 2 # # Calculating the class 9 quotient ... ## Sizes: 4 7 10 13 17 23 32 45 203 # Maximal entry: 2019 # Layer 9 of the lower central series has 16 generators # with the following exponents: 2 2 2 2 2 3 3 3 2 2 2 3 3 3 2 2 # # Calculating the class 10 quotient ... ## Sizes: 4 7 10 13 17 23 32 45 61 283 # Maximal entry: 22320 # Layer 10 of the lower central series has 21 generators # with the following exponents: 2 2 2 2 2 2 2 3 3 3 2 2 2 2 3 3 3 3 3 2 2 # # Calculating the class 11 quotient ... ## Sizes: 4 7 10 13 17 23 32 45 61 82 388 # Maximal entry: 9921 # Layer 11 of the lower central series has 28 generators # with the following exponents: 2 2 2 2 2 2 2 2 2 3 3 3 3 2 2 2 2 2 3 3 3 3 3 3 3 2 2 2 # # Calculating the class 12 quotient ... ## Sizes: 4 7 10 13 17 23 32 45 61 82 110 528 # Maximal entry: 9093 # Layer 12 of the lower central series has 36 generators # with the following exponents: 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 2 2 2 # # The epimorphism : # e1 |---> A # e2 |---> B # e3 |---> C # e4 |---> D # The nilpotent quotient : # Class : 12 # Nr of generators of each class : 4 3 3 3 4 6 9 13 16 21 28 36 # The definitions: # E := [ B, A ] # F := [ C, B ] # G := [ D, C ] # H := [ C, B, A ] # I := [ C, B, C ] # J := [ D, C, B ] # K := [ C, B, C, A ] # L := [ D, C, B, A ] # M := [ D, C, B, C ] # N := [ D, C, B, C, A ] # O := [ D, C, B, C, B ] # P := [ D, C, B, C, C ] # Q := [ D, C, B, C, D ] # R := [ D, C, B, C, A, B ] # S := [ D, C, B, C, B, C ] # T := [ D, C, B, C, C, A ] # U := [ D, C, B, C, C, B ] # V := [ D, C, B, C, D, A ] # W := [ D, C, B, C, D, C ] # X := [ D, C, B, C, A, B, A ] # Y := [ D, C, B, C, A, B, C ] # Z := [ D, C, B, C, B, C, B ] # A1 := [ D, C, B, C, C, B, A ] # B1 := [ D, C, B, C, C, B, C ] # C1 := [ D, C, B, C, D, C, A ] # D1 := [ D, C, B, C, D, C, B ] # E1 := [ D, C, B, C, D, C, C ] # F1 := [ D, C, B, C, D, C, D ] # G1 := [ D, C, B, C, A, B, C, A ] # H1 := [ D, C, B, C, A, B, C, D ] # I1 := [ D, C, B, C, B, C, B, A ] # J1 := [ D, C, B, C, B, C, B, C ] # K1 := [ D, C, B, C, C, B, A, A ] # L1 := [ D, C, B, C, C, B, C, A ] # M1 := [ D, C, B, C, C, B, C, C ] # N1 := [ D, C, B, C, D, C, A, B ] # O1 := [ D, C, B, C, D, C, B, C ] # P1 := [ D, C, B, C, D, C, C, A ] # Q1 := [ D, C, B, C, D, C, C, B ] # R1 := [ D, C, B, C, D, C, D, A ] # S1 := [ D, C, B, C, D, C, D, C ] # T1 := [ D, C, B, C, A, B, C, A, B ] # U1 := [ D, C, B, C, A, B, C, D, C ] # V1 := [ D, C, B, C, B, C, B, C, A ] # W1 := [ D, C, B, C, B, C, B, C, B ] # X1 := [ D, C, B, C, B, C, B, C, D ] # Y1 := [ D, C, B, C, C, B, C, A, A ] # Z1 := [ D, C, B, C, C, B, C, C, A ] # A2 := [ D, C, B, C, C, B, C, C, B ] # B2 := [ D, C, B, C, D, C, A, B, A ] # C2 := [ D, C, B, C, D, C, A, B, C ] # D2 := [ D, C, B, C, D, C, B, C, B ] # E2 := [ D, C, B, C, D, C, C, A, B ] # F2 := [ D, C, B, C, D, C, C, B, A ] # G2 := [ D, C, B, C, D, C, C, B, C ] # H2 := [ D, C, B, C, D, C, D, C, A ] # I2 := [ D, C, B, C, D, C, D, C, D ] # J2 := [ D, C, B, C, A, B, C, A, B, A ] # K2 := [ D, C, B, C, A, B, C, A, B, C ] # L2 := [ D, C, B, C, A, B, C, D, C, B ] # M2 := [ D, C, B, C, B, C, B, C, A, B ] # N2 := [ D, C, B, C, B, C, B, C, B, C ] # O2 := [ D, C, B, C, B, C, B, C, D, A ] # P2 := [ D, C, B, C, B, C, B, C, D, C ] # Q2 := [ D, C, B, C, C, B, C, C, A, A ] # R2 := [ D, C, B, C, C, B, C, C, A, B ] # S2 := [ D, C, B, C, C, B, C, C, B, C ] # T2 := [ D, C, B, C, D, C, A, B, C, A ] # U2 := [ D, C, B, C, D, C, A, B, C, D ] # V2 := [ D, C, B, C, D, C, B, C, B, A ] # W2 := [ D, C, B, C, D, C, B, C, B, C ] # X2 := [ D, C, B, C, D, C, C, A, B, C ] # Y2 := [ D, C, B, C, D, C, C, B, A, A ] # Z2 := [ D, C, B, C, D, C, C, B, C, A ] # A3 := [ D, C, B, C, D, C, C, B, C, C ] # B3 := [ D, C, B, C, D, C, C, B, C, D ] # C3 := [ D, C, B, C, D, C, D, C, A, B ] # D3 := [ D, C, B, C, D, C, D, C, D, C ] # E3 := [ D, C, B, C, A, B, C, A, B, C, A ] # F3 := [ D, C, B, C, A, B, C, A, B, C, D ] # G3 := [ D, C, B, C, A, B, C, D, C, B, A ] # H3 := [ D, C, B, C, A, B, C, D, C, B, C ] # I3 := [ D, C, B, C, B, C, B, C, A, B, A ] # J3 := [ D, C, B, C, B, C, B, C, A, B, C ] # K3 := [ D, C, B, C, B, C, B, C, B, C, B ] # L3 := [ D, C, B, C, B, C, B, C, D, C, A ] # M3 := [ D, C, B, C, B, C, B, C, D, C, B ] # N3 := [ D, C, B, C, C, B, C, C, A, B, A ] # O3 := [ D, C, B, C, C, B, C, C, A, B, C ] # P3 := [ D, C, B, C, C, B, C, C, B, C, C ] # Q3 := [ D, C, B, C, C, B, C, C, B, C, D ] # R3 := [ D, C, B, C, D, C, A, B, C, A, B ] # S3 := [ D, C, B, C, D, C, A, B, C, D, C ] # T3 := [ D, C, B, C, D, C, B, C, B, C, A ] # U3 := [ D, C, B, C, D, C, B, C, B, C, B ] # V3 := [ D, C, B, C, D, C, B, C, B, C, D ] # W3 := [ D, C, B, C, D, C, C, A, B, C, C ] # X3 := [ D, C, B, C, D, C, C, A, B, C, D ] # Y3 := [ D, C, B, C, D, C, C, B, C, A, A ] # Z3 := [ D, C, B, C, D, C, C, B, C, C, A ] # A4 := [ D, C, B, C, D, C, C, B, C, C, B ] # B4 := [ D, C, B, C, D, C, C, B, C, D, A ] # C4 := [ D, C, B, C, D, C, C, B, C, D, C ] # D4 := [ D, C, B, C, D, C, D, C, A, B, A ] # E4 := [ D, C, B, C, D, C, D, C, A, B, C ] # F4 := [ D, C, B, C, D, C, D, C, D, C, D ] # G4 := [ D, C, B, C, A, B, C, A, B, C, A, B ] # H4 := [ D, C, B, C, A, B, C, A, B, C, D, A ] # I4 := [ D, C, B, C, A, B, C, A, B, C, D, C ] # J4 := [ D, C, B, C, A, B, C, D, C, B, C, A ] # K4 := [ D, C, B, C, A, B, C, D, C, B, C, D ] # L4 := [ D, C, B, C, B, C, B, C, A, B, C, A ] # M4 := [ D, C, B, C, B, C, B, C, A, B, C, D ] # N4 := [ D, C, B, C, B, C, B, C, B, C, B, A ] # O4 := [ D, C, B, C, B, C, B, C, B, C, B, C ] # P4 := [ D, C, B, C, B, C, B, C, D, C, A, B ] # Q4 := [ D, C, B, C, B, C, B, C, D, C, B, A ] # R4 := [ D, C, B, C, B, C, B, C, D, C, B, C ] # S4 := [ D, C, B, C, C, B, C, C, A, B, A, A ] # T4 := [ D, C, B, C, C, B, C, C, A, B, C, A ] # U4 := [ D, C, B, C, C, B, C, C, A, B, C, C ] # V4 := [ D, C, B, C, C, B, C, C, A, B, C, D ] # W4 := [ D, C, B, C, C, B, C, C, B, C, C, B ] # X4 := [ D, C, B, C, C, B, C, C, B, C, D, C ] # Y4 := [ D, C, B, C, D, C, A, B, C, A, B, A ] # Z4 := [ D, C, B, C, D, C, A, B, C, A, B, C ] # A5 := [ D, C, B, C, D, C, A, B, C, D, C, B ] # B5 := [ D, C, B, C, D, C, B, C, B, C, A, B ] # C5 := [ D, C, B, C, D, C, B, C, B, C, B, C ] # D5 := [ D, C, B, C, D, C, B, C, B, C, D, A ] # E5 := [ D, C, B, C, D, C, B, C, B, C, D, C ] # F5 := [ D, C, B, C, D, C, C, A, B, C, D, C ] # G5 := [ D, C, B, C, D, C, C, B, C, C, A, A ] # H5 := [ D, C, B, C, D, C, C, B, C, C, A, B ] # I5 := [ D, C, B, C, D, C, C, B, C, C, B, A ] # J5 := [ D, C, B, C, D, C, C, B, C, C, B, C ] # K5 := [ D, C, B, C, D, C, C, B, C, D, A, A ] # L5 := [ D, C, B, C, D, C, C, B, C, D, C, A ] # M5 := [ D, C, B, C, D, C, C, B, C, D, C, C ] # N5 := [ D, C, B, C, D, C, D, C, A, B, C, A ] # O5 := [ D, C, B, C, D, C, D, C, A, B, C, D ] # P5 := [ D, C, B, C, D, C, D, C, D, C, D, C ] nq-2.5.4/examples/G10000664000371700037170000000031213441553627015370 0ustar gap-jenkinsgap-jenkins# # Cartan matrix: # # [ 2, -1 ] # [ -4, 2 ] # < e1, e2 | [ e2, e1, e1 ], [ e1, e2, e2, e2, e2, e2 ], # additional relation: [ e2, e1, e2, e2, e2, e1, e2, e2, e1, e1 ] > nq-2.5.4/examples/G20000664000371700037170000000017413441553627015377 0ustar gap-jenkinsgap-jenkins# # Cartan matrix: # # [ 2, -1 ] # [ -3, 2 ] # < e1, e2 | [ e2, e1, e1 ], [ e1, e2, e2, e2, e2 ] > nq-2.5.4/examples/G50000664000371700037170000000041413441553627015377 0ustar gap-jenkinsgap-jenkins# # Cartan matrix: # # [ 2, -2, 0 ] # [ -1, 2, -2 ] # [ 0, -1, 2 ] # < e1, e2, e3 | [ e2, e1, e1, e1 ], [ e1, e2, e2 ], [ e3, e1 ], [ e3, e2, e2, e2 ], [ e2, e3, e3 ], # additional relation: [ e3, e2, e1, e2, e3 ] > nq-2.5.4/examples/G40000664000371700037170000000056213441553627015402 0ustar gap-jenkinsgap-jenkins# # Cartan matrix: # # [ 2, -1, 0, 0 ] # [ -1, 2, -1, 0 ] # [ 0, -2, 2, -1 ] # [ 0, 0, -1, 2 ] # < e1, e2, e3, e4 | [ e2, e1, e1 ], [ e1, e2, e2 ], [ e3, e1 ], [ e4, e1 ], [ e3, e2, e2 ], [ e2, e3, e3, e3 ], [ e4, e2 ], [ e4, e3, e3 ], [ e3, e4, e4 ], # additional relation: [ e3, e2, e1, e2 ] > nq-2.5.4/examples/G30000664000371700037170000000031513441553627015375 0ustar gap-jenkinsgap-jenkins# # Cartan matrix: # # [ 2, -1, 0 ] # [ -1, 2, -1 ] # [ 0, -1, 2 ] # < e1, e2, e3 | [ e2, e1, e1 ], [ e1, e2, e2 ], [ e3, e1 ], [ e3, e2, e2 ], [ e2, e3, e3 ] > nq-2.5.4/examples/Makefile.in0000664000371700037170000000765413441553627017263 0ustar gap-jenkinsgap-jenkinstop_srcdir = @top_srcdir@ top_builddir = @top_builddir@ srcdir = @srcdir@ VPATH = @srcdir@ subdir = examples NQ=../bin/@GAPARCH@/nq -S all: G1.tst G2.tst G3.tst G4.tst G5.tst clean: rm -f G?.tst *~ distclean: clean rm -f G*.old G1.tst: G1 @ echo -n Testing example: $< @ $(NQ) $< 18 | grep -v "Time\|time\|size\|Machine\|Input\|Program\|Version" > $@ @ if diff $<.out $@; then \ echo " ok."; \ rm $@; \ else \ echo " results in an error."; \ echo Please mail the file $@; \ echo " " to max.horn@math.uni-giessen.de; \ fi G2.tst: G2 @ echo -n Testing example: $< @ $(NQ) $< 11 | grep -v "Time\|time\|size\|Machine\|Input\|Program\|Version" > $@ @ if diff $<.out $@; then \ echo " ok."; \ rm $@; \ else \ echo " results in an error."; \ echo Please mail the file $@; \ echo " " to max.horn@math.uni-giessen.de; \ fi G3.tst: G3 @ echo -n Testing example: $< @ $(NQ) $< 20 | grep -v "Time\|time\|size\|Machine\|Input\|Program\|Version" > $@ @ if diff $<.out $@; then \ echo " ok."; \ rm $@; \ else \ echo " results in an error."; \ echo Please mail the file $@; \ echo " " to max.horn@math.uni-giessen.de; \ fi G4.tst: G4 @ echo -n Testing example: $< @ $(NQ) $< 12 | grep -v "Time\|time\|size\|Machine\|Input\|Program\|Version" > $@ @ if diff $<.out $@; then \ echo " ok."; \ rm $@; \ else \ echo " results in an error."; \ echo Please mail the file $@; \ echo " " to max.horn@math.uni-giessen.de; \ fi G5.tst: G5 @ echo -n Testing example: $< @ $(NQ) $< 12 | grep -v "Time\|time\|size\|Machine\|Input\|Program\|Version" > $@ @ if diff $<.out $@; then \ echo " ok."; \ rm $@; \ else \ echo " results in an error."; \ echo Please mail the file $@; \ echo " " to max.horn@math.uni-giessen.de; \ fi # Recreate the comparison output recalibrate: @ for example in G?.[0-9]*; do \ echo making test example `basename $$example`; \ \ class=`echo $$example | awk -F. '{print $$2}'`; \ output=`echo $$example | awk -F. '{print $$1}'`; \ \ mv -f $$output.out $$output.old; \ echo " $(NQ) $$example $$class > $$output.out"; \ $(NQ) $$example $$class \ | grep -v "Time\|time\|size\|Machine\|Input\|Version" > $$output.out;\ done .PRECIOUS: Makefile Makefile: $(srcdir)/Makefile.in $(top_builddir)/config.status cd $(top_builddir) && $(SHELL) ./config.status $(subdir)/$@ .PHONY: all clean distclean test G1.tst G2.tst G3.tst G4.tst G5.tst recalibrate nq-2.5.4/m4/ltversion.m40000664000371700037170000000127313441553627016176 0ustar gap-jenkinsgap-jenkins# ltversion.m4 -- version numbers -*- Autoconf -*- # # Copyright (C) 2004, 2011-2015 Free Software Foundation, Inc. # Written by Scott James Remnant, 2004 # # 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. # @configure_input@ # serial 4179 ltversion.m4 # This file is part of GNU Libtool m4_define([LT_PACKAGE_VERSION], [2.4.6]) m4_define([LT_PACKAGE_REVISION], [2.4.6]) AC_DEFUN([LTVERSION_VERSION], [macro_version='2.4.6' macro_revision='2.4.6' _LT_DECL(, macro_version, 0, [Which release of libtool.m4 was used?]) _LT_DECL(, macro_revision, 0) ]) nq-2.5.4/m4/libtool.m40000664000371700037170000112512313441553627015617 0ustar gap-jenkinsgap-jenkins# libtool.m4 - Configure libtool for the host system. -*-Autoconf-*- # # Copyright (C) 1996-2001, 2003-2015 Free Software Foundation, Inc. # Written by Gordon Matzigkeit, 1996 # # 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. m4_define([_LT_COPYING], [dnl # Copyright (C) 2014 Free Software Foundation, Inc. # This is free software; see the source for copying conditions. There is NO # warranty; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. # GNU Libtool is free software; you can redistribute it and/or modify # it under the terms of the GNU General Public License as published by # the Free Software Foundation; either version 2 of of the License, or # (at your option) any later version. # # As a special exception to the GNU General Public License, if you # distribute this file as part of a program or library that is built # using GNU Libtool, you may include this file under the same # distribution terms that you use for the rest of that program. # # GNU Libtool 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. See the # GNU General Public License for more details. # # You should have received a copy of the GNU General Public License # along with this program. If not, see . ]) # serial 58 LT_INIT # LT_PREREQ(VERSION) # ------------------ # Complain and exit if this libtool version is less that VERSION. m4_defun([LT_PREREQ], [m4_if(m4_version_compare(m4_defn([LT_PACKAGE_VERSION]), [$1]), -1, [m4_default([$3], [m4_fatal([Libtool version $1 or higher is required], 63)])], [$2])]) # _LT_CHECK_BUILDDIR # ------------------ # Complain if the absolute build directory name contains unusual characters m4_defun([_LT_CHECK_BUILDDIR], [case `pwd` in *\ * | *\ *) AC_MSG_WARN([Libtool does not cope well with whitespace in `pwd`]) ;; esac ]) # LT_INIT([OPTIONS]) # ------------------ AC_DEFUN([LT_INIT], [AC_PREREQ([2.62])dnl We use AC_PATH_PROGS_FEATURE_CHECK AC_REQUIRE([AC_CONFIG_AUX_DIR_DEFAULT])dnl AC_BEFORE([$0], [LT_LANG])dnl AC_BEFORE([$0], [LT_OUTPUT])dnl AC_BEFORE([$0], [LTDL_INIT])dnl m4_require([_LT_CHECK_BUILDDIR])dnl dnl Autoconf doesn't catch unexpanded LT_ macros by default: m4_pattern_forbid([^_?LT_[A-Z_]+$])dnl m4_pattern_allow([^(_LT_EOF|LT_DLGLOBAL|LT_DLLAZY_OR_NOW|LT_MULTI_MODULE)$])dnl dnl aclocal doesn't pull ltoptions.m4, ltsugar.m4, or ltversion.m4 dnl unless we require an AC_DEFUNed macro: AC_REQUIRE([LTOPTIONS_VERSION])dnl AC_REQUIRE([LTSUGAR_VERSION])dnl AC_REQUIRE([LTVERSION_VERSION])dnl AC_REQUIRE([LTOBSOLETE_VERSION])dnl m4_require([_LT_PROG_LTMAIN])dnl _LT_SHELL_INIT([SHELL=${CONFIG_SHELL-/bin/sh}]) dnl Parse OPTIONS _LT_SET_OPTIONS([$0], [$1]) # This can be used to rebuild libtool when needed LIBTOOL_DEPS=$ltmain # Always use our own libtool. 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cat conftest.err >&AS_MESSAGE_LOG_FD echo "$as_me:$LINENO: \$? = $ac_status" >&AS_MESSAGE_LOG_FD if (exit $ac_status) && test -s "$ac_outfile"; then # The compiler can only warn and ignore the option if not recognized # So say no if there are warnings other than the usual output. $ECHO "$_lt_compiler_boilerplate" | $SED '/^$/d' >conftest.exp $SED '/^$/d; /^ *+/d' conftest.err >conftest.er2 if test ! -s conftest.er2 || diff conftest.exp conftest.er2 >/dev/null; then $2=yes fi fi $RM -r conftest* ]) if test yes = "[$]$2"; then m4_if([$5], , :, [$5]) else m4_if([$6], , :, [$6]) fi ])# _LT_COMPILER_OPTION # Old name: AU_ALIAS([AC_LIBTOOL_COMPILER_OPTION], [_LT_COMPILER_OPTION]) dnl aclocal-1.4 backwards compatibility: dnl AC_DEFUN([AC_LIBTOOL_COMPILER_OPTION], []) # _LT_LINKER_OPTION(MESSAGE, VARIABLE-NAME, FLAGS, # [ACTION-SUCCESS], [ACTION-FAILURE]) # ---------------------------------------------------- # Check whether the given linker option works AC_DEFUN([_LT_LINKER_OPTION], [m4_require([_LT_FILEUTILS_DEFAULTS])dnl m4_require([_LT_DECL_SED])dnl AC_CACHE_CHECK([$1], [$2], [$2=no save_LDFLAGS=$LDFLAGS LDFLAGS="$LDFLAGS $3" echo "$lt_simple_link_test_code" > conftest.$ac_ext if (eval $ac_link 2>conftest.err) && test -s conftest$ac_exeext; then # The linker can only warn and ignore the option if not recognized # So say no if there are warnings if test -s conftest.err; then # Append any errors to the config.log. cat conftest.err 1>&AS_MESSAGE_LOG_FD $ECHO "$_lt_linker_boilerplate" | $SED '/^$/d' > conftest.exp $SED '/^$/d; /^ *+/d' conftest.err >conftest.er2 if diff conftest.exp conftest.er2 >/dev/null; then $2=yes fi else $2=yes fi fi $RM -r conftest* LDFLAGS=$save_LDFLAGS ]) if test yes = "[$]$2"; then m4_if([$4], , :, [$4]) else m4_if([$5], , :, [$5]) fi ])# _LT_LINKER_OPTION # Old name: AU_ALIAS([AC_LIBTOOL_LINKER_OPTION], [_LT_LINKER_OPTION]) dnl aclocal-1.4 backwards compatibility: dnl AC_DEFUN([AC_LIBTOOL_LINKER_OPTION], []) # LT_CMD_MAX_LEN #--------------- AC_DEFUN([LT_CMD_MAX_LEN], [AC_REQUIRE([AC_CANONICAL_HOST])dnl # find the maximum length of command line arguments AC_MSG_CHECKING([the maximum length of command line arguments]) AC_CACHE_VAL([lt_cv_sys_max_cmd_len], [dnl i=0 teststring=ABCD case $build_os in msdosdjgpp*) # On DJGPP, this test can blow up pretty badly due to problems in libc # (any single argument exceeding 2000 bytes causes a buffer overrun # during glob expansion). Even if it were fixed, the result of this # check would be larger than it should be. lt_cv_sys_max_cmd_len=12288; # 12K is about right ;; gnu*) # Under GNU Hurd, this test is not required because there is # no limit to the length of command line arguments. # Libtool will interpret -1 as no limit whatsoever lt_cv_sys_max_cmd_len=-1; ;; cygwin* | mingw* | cegcc*) # On Win9x/ME, this test blows up -- it succeeds, but takes # about 5 minutes as the teststring grows exponentially. # Worse, since 9x/ME are not pre-emptively multitasking, # you end up with a "frozen" computer, even though with patience # the test eventually succeeds (with a max line length of 256k). # Instead, let's just punt: use the minimum linelength reported by # all of the supported platforms: 8192 (on NT/2K/XP). lt_cv_sys_max_cmd_len=8192; ;; mint*) # On MiNT this can take a long time and run out of memory. lt_cv_sys_max_cmd_len=8192; ;; amigaos*) # On AmigaOS with pdksh, this test takes hours, literally. # So we just punt and use a minimum line length of 8192. lt_cv_sys_max_cmd_len=8192; ;; bitrig* | darwin* | dragonfly* | freebsd* | netbsd* | openbsd*) # This has been around since 386BSD, at least. Likely further. if test -x /sbin/sysctl; then lt_cv_sys_max_cmd_len=`/sbin/sysctl -n kern.argmax` elif test -x /usr/sbin/sysctl; then lt_cv_sys_max_cmd_len=`/usr/sbin/sysctl -n kern.argmax` else lt_cv_sys_max_cmd_len=65536 # usable default for all BSDs fi # And add a safety zone lt_cv_sys_max_cmd_len=`expr $lt_cv_sys_max_cmd_len \/ 4` lt_cv_sys_max_cmd_len=`expr $lt_cv_sys_max_cmd_len \* 3` ;; interix*) # We know the value 262144 and hardcode it with a safety zone (like BSD) lt_cv_sys_max_cmd_len=196608 ;; os2*) # The test takes a long time on OS/2. lt_cv_sys_max_cmd_len=8192 ;; osf*) # Dr. Hans Ekkehard Plesser reports seeing a kernel panic running configure # due to this test when exec_disable_arg_limit is 1 on Tru64. It is not # nice to cause kernel panics so lets avoid the loop below. # First set a reasonable default. lt_cv_sys_max_cmd_len=16384 # if test -x /sbin/sysconfig; then case `/sbin/sysconfig -q proc exec_disable_arg_limit` in *1*) lt_cv_sys_max_cmd_len=-1 ;; esac fi ;; sco3.2v5*) lt_cv_sys_max_cmd_len=102400 ;; sysv5* | sco5v6* | sysv4.2uw2*) kargmax=`grep ARG_MAX /etc/conf/cf.d/stune 2>/dev/null` if test -n "$kargmax"; then lt_cv_sys_max_cmd_len=`echo $kargmax | sed 's/.*[[ ]]//'` else lt_cv_sys_max_cmd_len=32768 fi ;; *) lt_cv_sys_max_cmd_len=`(getconf ARG_MAX) 2> /dev/null` if test -n "$lt_cv_sys_max_cmd_len" && \ test undefined != "$lt_cv_sys_max_cmd_len"; then lt_cv_sys_max_cmd_len=`expr $lt_cv_sys_max_cmd_len \/ 4` lt_cv_sys_max_cmd_len=`expr $lt_cv_sys_max_cmd_len \* 3` else # Make teststring a little bigger before we do anything with it. # a 1K string should be a reasonable start. for i in 1 2 3 4 5 6 7 8; do teststring=$teststring$teststring done SHELL=${SHELL-${CONFIG_SHELL-/bin/sh}} # If test is not a shell built-in, we'll probably end up computing a # maximum length that is only half of the actual maximum length, but # we can't tell. while { test X`env echo "$teststring$teststring" 2>/dev/null` \ = "X$teststring$teststring"; } >/dev/null 2>&1 && test 17 != "$i" # 1/2 MB should be enough do i=`expr $i + 1` teststring=$teststring$teststring done # Only check the string length outside the loop. lt_cv_sys_max_cmd_len=`expr "X$teststring" : ".*" 2>&1` teststring= # Add a significant safety factor because C++ compilers can tack on # massive amounts of additional arguments before passing them to the # linker. It appears as though 1/2 is a usable value. lt_cv_sys_max_cmd_len=`expr $lt_cv_sys_max_cmd_len \/ 2` fi ;; esac ]) if test -n "$lt_cv_sys_max_cmd_len"; then AC_MSG_RESULT($lt_cv_sys_max_cmd_len) else AC_MSG_RESULT(none) fi max_cmd_len=$lt_cv_sys_max_cmd_len _LT_DECL([], [max_cmd_len], [0], [What is the maximum length of a command?]) ])# LT_CMD_MAX_LEN # Old name: AU_ALIAS([AC_LIBTOOL_SYS_MAX_CMD_LEN], [LT_CMD_MAX_LEN]) dnl aclocal-1.4 backwards compatibility: dnl AC_DEFUN([AC_LIBTOOL_SYS_MAX_CMD_LEN], []) # _LT_HEADER_DLFCN # ---------------- m4_defun([_LT_HEADER_DLFCN], [AC_CHECK_HEADERS([dlfcn.h], [], [], [AC_INCLUDES_DEFAULT])dnl ])# _LT_HEADER_DLFCN # _LT_TRY_DLOPEN_SELF (ACTION-IF-TRUE, ACTION-IF-TRUE-W-USCORE, # ACTION-IF-FALSE, ACTION-IF-CROSS-COMPILING) # ---------------------------------------------------------------- m4_defun([_LT_TRY_DLOPEN_SELF], [m4_require([_LT_HEADER_DLFCN])dnl if test yes = "$cross_compiling"; then : [$4] else lt_dlunknown=0; lt_dlno_uscore=1; lt_dlneed_uscore=2 lt_status=$lt_dlunknown cat > conftest.$ac_ext <<_LT_EOF [#line $LINENO "configure" #include "confdefs.h" #if HAVE_DLFCN_H #include #endif #include #ifdef RTLD_GLOBAL # define LT_DLGLOBAL RTLD_GLOBAL #else # ifdef DL_GLOBAL # define LT_DLGLOBAL DL_GLOBAL # else # define LT_DLGLOBAL 0 # endif #endif /* We may have to define LT_DLLAZY_OR_NOW in the command line if we find out it does not work in some platform. */ #ifndef LT_DLLAZY_OR_NOW # ifdef RTLD_LAZY # define LT_DLLAZY_OR_NOW RTLD_LAZY # else # ifdef DL_LAZY # define LT_DLLAZY_OR_NOW DL_LAZY # else # ifdef RTLD_NOW # define LT_DLLAZY_OR_NOW RTLD_NOW # else # ifdef DL_NOW # define LT_DLLAZY_OR_NOW DL_NOW # else # define LT_DLLAZY_OR_NOW 0 # endif # endif # endif # endif #endif /* When -fvisibility=hidden is used, assume the code has been annotated correspondingly for the symbols needed. */ #if defined __GNUC__ && (((__GNUC__ == 3) && (__GNUC_MINOR__ >= 3)) || (__GNUC__ > 3)) int fnord () __attribute__((visibility("default"))); #endif int fnord () { return 42; } int main () { void *self = dlopen (0, LT_DLGLOBAL|LT_DLLAZY_OR_NOW); int status = $lt_dlunknown; if (self) { if (dlsym (self,"fnord")) status = $lt_dlno_uscore; else { if (dlsym( self,"_fnord")) status = $lt_dlneed_uscore; else puts (dlerror ()); } /* dlclose (self); */ } else puts (dlerror ()); return status; }] _LT_EOF if AC_TRY_EVAL(ac_link) && test -s "conftest$ac_exeext" 2>/dev/null; then (./conftest; exit; ) >&AS_MESSAGE_LOG_FD 2>/dev/null lt_status=$? case x$lt_status in x$lt_dlno_uscore) $1 ;; x$lt_dlneed_uscore) $2 ;; x$lt_dlunknown|x*) $3 ;; esac else : # compilation failed $3 fi fi rm -fr conftest* ])# _LT_TRY_DLOPEN_SELF # LT_SYS_DLOPEN_SELF # ------------------ AC_DEFUN([LT_SYS_DLOPEN_SELF], [m4_require([_LT_HEADER_DLFCN])dnl if test yes != "$enable_dlopen"; then enable_dlopen=unknown enable_dlopen_self=unknown enable_dlopen_self_static=unknown else lt_cv_dlopen=no lt_cv_dlopen_libs= case $host_os in beos*) lt_cv_dlopen=load_add_on lt_cv_dlopen_libs= lt_cv_dlopen_self=yes ;; mingw* | pw32* | cegcc*) lt_cv_dlopen=LoadLibrary lt_cv_dlopen_libs= ;; cygwin*) lt_cv_dlopen=dlopen lt_cv_dlopen_libs= ;; darwin*) # if libdl is installed we need to link against it AC_CHECK_LIB([dl], [dlopen], [lt_cv_dlopen=dlopen lt_cv_dlopen_libs=-ldl],[ lt_cv_dlopen=dyld lt_cv_dlopen_libs= lt_cv_dlopen_self=yes ]) ;; tpf*) # Don't try to run any link tests for TPF. We know it's impossible # because TPF is a cross-compiler, and we know how we open DSOs. lt_cv_dlopen=dlopen lt_cv_dlopen_libs= lt_cv_dlopen_self=no ;; *) AC_CHECK_FUNC([shl_load], [lt_cv_dlopen=shl_load], [AC_CHECK_LIB([dld], [shl_load], [lt_cv_dlopen=shl_load lt_cv_dlopen_libs=-ldld], [AC_CHECK_FUNC([dlopen], [lt_cv_dlopen=dlopen], [AC_CHECK_LIB([dl], [dlopen], [lt_cv_dlopen=dlopen lt_cv_dlopen_libs=-ldl], [AC_CHECK_LIB([svld], [dlopen], [lt_cv_dlopen=dlopen lt_cv_dlopen_libs=-lsvld], [AC_CHECK_LIB([dld], [dld_link], [lt_cv_dlopen=dld_link lt_cv_dlopen_libs=-ldld]) ]) ]) ]) ]) ]) ;; esac if test no = "$lt_cv_dlopen"; then enable_dlopen=no else enable_dlopen=yes fi case $lt_cv_dlopen in dlopen) save_CPPFLAGS=$CPPFLAGS test yes = "$ac_cv_header_dlfcn_h" && CPPFLAGS="$CPPFLAGS -DHAVE_DLFCN_H" save_LDFLAGS=$LDFLAGS wl=$lt_prog_compiler_wl eval LDFLAGS=\"\$LDFLAGS $export_dynamic_flag_spec\" save_LIBS=$LIBS LIBS="$lt_cv_dlopen_libs $LIBS" AC_CACHE_CHECK([whether a program can dlopen itself], lt_cv_dlopen_self, [dnl _LT_TRY_DLOPEN_SELF( lt_cv_dlopen_self=yes, lt_cv_dlopen_self=yes, lt_cv_dlopen_self=no, lt_cv_dlopen_self=cross) ]) if test yes = "$lt_cv_dlopen_self"; then wl=$lt_prog_compiler_wl eval LDFLAGS=\"\$LDFLAGS $lt_prog_compiler_static\" AC_CACHE_CHECK([whether a statically linked program can dlopen itself], lt_cv_dlopen_self_static, [dnl _LT_TRY_DLOPEN_SELF( lt_cv_dlopen_self_static=yes, lt_cv_dlopen_self_static=yes, lt_cv_dlopen_self_static=no, lt_cv_dlopen_self_static=cross) ]) fi CPPFLAGS=$save_CPPFLAGS LDFLAGS=$save_LDFLAGS LIBS=$save_LIBS ;; esac case $lt_cv_dlopen_self in yes|no) enable_dlopen_self=$lt_cv_dlopen_self ;; *) enable_dlopen_self=unknown ;; esac case $lt_cv_dlopen_self_static in yes|no) enable_dlopen_self_static=$lt_cv_dlopen_self_static ;; *) enable_dlopen_self_static=unknown ;; esac fi _LT_DECL([dlopen_support], [enable_dlopen], [0], [Whether dlopen is supported]) _LT_DECL([dlopen_self], [enable_dlopen_self], [0], [Whether dlopen of programs is supported]) _LT_DECL([dlopen_self_static], [enable_dlopen_self_static], [0], [Whether dlopen of statically linked programs is supported]) ])# LT_SYS_DLOPEN_SELF # Old name: AU_ALIAS([AC_LIBTOOL_DLOPEN_SELF], [LT_SYS_DLOPEN_SELF]) dnl aclocal-1.4 backwards compatibility: dnl AC_DEFUN([AC_LIBTOOL_DLOPEN_SELF], []) # _LT_COMPILER_C_O([TAGNAME]) # --------------------------- # Check to see if options -c and -o are simultaneously supported by compiler. # This macro does not hard code the compiler like AC_PROG_CC_C_O. m4_defun([_LT_COMPILER_C_O], [m4_require([_LT_DECL_SED])dnl m4_require([_LT_FILEUTILS_DEFAULTS])dnl m4_require([_LT_TAG_COMPILER])dnl AC_CACHE_CHECK([if $compiler supports -c -o file.$ac_objext], [_LT_TAGVAR(lt_cv_prog_compiler_c_o, $1)], [_LT_TAGVAR(lt_cv_prog_compiler_c_o, $1)=no $RM -r conftest 2>/dev/null mkdir conftest cd conftest mkdir out echo "$lt_simple_compile_test_code" > conftest.$ac_ext lt_compiler_flag="-o out/conftest2.$ac_objext" # Insert the option either (1) after the last *FLAGS variable, or # (2) before a word containing "conftest.", or (3) at the end. # Note that $ac_compile itself does not contain backslashes and begins # with a dollar sign (not a hyphen), so the echo should work correctly. lt_compile=`echo "$ac_compile" | $SED \ -e 's:.*FLAGS}\{0,1\} :&$lt_compiler_flag :; t' \ -e 's: [[^ ]]*conftest\.: $lt_compiler_flag&:; t' \ -e 's:$: $lt_compiler_flag:'` (eval echo "\"\$as_me:$LINENO: $lt_compile\"" >&AS_MESSAGE_LOG_FD) (eval "$lt_compile" 2>out/conftest.err) ac_status=$? cat out/conftest.err >&AS_MESSAGE_LOG_FD echo "$as_me:$LINENO: \$? = $ac_status" >&AS_MESSAGE_LOG_FD if (exit $ac_status) && test -s out/conftest2.$ac_objext then # The compiler can only warn and ignore the option if not recognized # So say no if there are warnings $ECHO "$_lt_compiler_boilerplate" | $SED '/^$/d' > out/conftest.exp $SED '/^$/d; /^ *+/d' out/conftest.err >out/conftest.er2 if test ! -s out/conftest.er2 || diff out/conftest.exp out/conftest.er2 >/dev/null; then _LT_TAGVAR(lt_cv_prog_compiler_c_o, $1)=yes fi fi chmod u+w . 2>&AS_MESSAGE_LOG_FD $RM -r conftest* # SGI C++ compiler will create directory out/ii_files/ for # template instantiation test -d out/ii_files && $RM out/ii_files/* && rmdir out/ii_files $RM out/* && rmdir out cd .. $RM -r conftest $RM -r conftest* ]) _LT_TAGDECL([compiler_c_o], [lt_cv_prog_compiler_c_o], [1], [Does compiler simultaneously support -c and -o options?]) ])# _LT_COMPILER_C_O # _LT_COMPILER_FILE_LOCKS([TAGNAME]) # ---------------------------------- # Check to see if we can do hard links to lock some files if needed m4_defun([_LT_COMPILER_FILE_LOCKS], [m4_require([_LT_ENABLE_LOCK])dnl m4_require([_LT_FILEUTILS_DEFAULTS])dnl _LT_COMPILER_C_O([$1]) hard_links=nottested if test no = "$_LT_TAGVAR(lt_cv_prog_compiler_c_o, $1)" && test no != "$need_locks"; then # do not overwrite the value of need_locks provided by the user AC_MSG_CHECKING([if we can lock with hard links]) hard_links=yes $RM -r conftest* ln conftest.a conftest.b 2>/dev/null && hard_links=no touch conftest.a ln conftest.a conftest.b 2>&5 || hard_links=no ln conftest.a conftest.b 2>/dev/null && hard_links=no AC_MSG_RESULT([$hard_links]) if test no = "$hard_links"; then AC_MSG_WARN(['$CC' does not support '-c -o', so 'make -j' may be unsafe]) need_locks=warn fi else need_locks=no fi _LT_DECL([], [need_locks], [1], [Must we lock files when doing compilation?]) ])# _LT_COMPILER_FILE_LOCKS # _LT_CHECK_OBJDIR # ---------------- m4_defun([_LT_CHECK_OBJDIR], [AC_CACHE_CHECK([for objdir], [lt_cv_objdir], [rm -f .libs 2>/dev/null mkdir .libs 2>/dev/null if test -d .libs; then lt_cv_objdir=.libs else # MS-DOS does not allow filenames that begin with a dot. lt_cv_objdir=_libs fi rmdir .libs 2>/dev/null]) objdir=$lt_cv_objdir _LT_DECL([], [objdir], [0], [The name of the directory that contains temporary libtool files])dnl m4_pattern_allow([LT_OBJDIR])dnl AC_DEFINE_UNQUOTED([LT_OBJDIR], "$lt_cv_objdir/", [Define to the sub-directory where libtool stores uninstalled libraries.]) ])# _LT_CHECK_OBJDIR # _LT_LINKER_HARDCODE_LIBPATH([TAGNAME]) # -------------------------------------- # Check hardcoding attributes. m4_defun([_LT_LINKER_HARDCODE_LIBPATH], [AC_MSG_CHECKING([how to hardcode library paths into programs]) _LT_TAGVAR(hardcode_action, $1)= if test -n "$_LT_TAGVAR(hardcode_libdir_flag_spec, $1)" || test -n "$_LT_TAGVAR(runpath_var, $1)" || test yes = "$_LT_TAGVAR(hardcode_automatic, $1)"; then # We can hardcode non-existent directories. if test no != "$_LT_TAGVAR(hardcode_direct, $1)" && # If the only mechanism to avoid hardcoding is shlibpath_var, we # have to relink, otherwise we might link with an installed library # when we should be linking with a yet-to-be-installed one ## test no != "$_LT_TAGVAR(hardcode_shlibpath_var, $1)" && test no != "$_LT_TAGVAR(hardcode_minus_L, $1)"; then # Linking always hardcodes the temporary library directory. _LT_TAGVAR(hardcode_action, $1)=relink else # We can link without hardcoding, and we can hardcode nonexisting dirs. _LT_TAGVAR(hardcode_action, $1)=immediate fi else # We cannot hardcode anything, or else we can only hardcode existing # directories. _LT_TAGVAR(hardcode_action, $1)=unsupported fi AC_MSG_RESULT([$_LT_TAGVAR(hardcode_action, $1)]) if test relink = "$_LT_TAGVAR(hardcode_action, $1)" || test yes = "$_LT_TAGVAR(inherit_rpath, $1)"; then # Fast installation is not supported enable_fast_install=no elif test yes = "$shlibpath_overrides_runpath" || test no = "$enable_shared"; 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*) case $LD in # libtool.m4 will add one of these switches to LD *-32|*"-32 "|*-melf32bsmip|*"-melf32bsmip ") libsuff= shlibsuff= libmagic=32-bit;; *-n32|*"-n32 "|*-melf32bmipn32|*"-melf32bmipn32 ") libsuff=32 shlibsuff=N32 libmagic=N32;; *-64|*"-64 "|*-melf64bmip|*"-melf64bmip ") libsuff=64 shlibsuff=64 libmagic=64-bit;; *) libsuff= shlibsuff= libmagic=never-match;; esac ;; esac shlibpath_var=LD_LIBRARY${shlibsuff}_PATH shlibpath_overrides_runpath=no sys_lib_search_path_spec="/usr/lib$libsuff /lib$libsuff /usr/local/lib$libsuff" sys_lib_dlsearch_path_spec="/usr/lib$libsuff /lib$libsuff" hardcode_into_libs=yes ;; # No shared lib support for Linux oldld, aout, or coff. linux*oldld* | linux*aout* | linux*coff*) dynamic_linker=no ;; linux*android*) version_type=none # Android doesn't support versioned libraries. need_lib_prefix=no need_version=no library_names_spec='$libname$release$shared_ext' soname_spec='$libname$release$shared_ext' finish_cmds= shlibpath_var=LD_LIBRARY_PATH shlibpath_overrides_runpath=yes # This implies no fast_install, which is unacceptable. # Some rework will be needed to allow for fast_install # before this can be enabled. hardcode_into_libs=yes dynamic_linker='Android linker' # Don't embed -rpath directories since the linker doesn't support them. _LT_TAGVAR(hardcode_libdir_flag_spec, $1)='-L$libdir' ;; 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*) lt_cv_deplibs_check_method='file_magic (s[[0-9]][[0-9]][[0-9]]|PA-RISC[[0-9]]\.[[0-9]]) shared library' lt_cv_file_magic_test_file=/usr/lib/libc.sl ;; esac ;; interix[[3-9]]*) # PIC code is broken on Interix 3.x, that's why |\.a not |_pic\.a here lt_cv_deplibs_check_method='match_pattern /lib[[^/]]+(\.so|\.a)$' ;; irix5* | irix6* | nonstopux*) case $LD in *-32|*"-32 ") libmagic=32-bit;; *-n32|*"-n32 ") libmagic=N32;; *-64|*"-64 ") libmagic=64-bit;; *) libmagic=never-match;; esac lt_cv_deplibs_check_method=pass_all ;; # This must be glibc/ELF. linux* | k*bsd*-gnu | kopensolaris*-gnu | gnu*) lt_cv_deplibs_check_method=pass_all ;; netbsd*) if echo __ELF__ | $CC -E - | $GREP __ELF__ > /dev/null; then lt_cv_deplibs_check_method='match_pattern /lib[[^/]]+(\.so\.[[0-9]]+\.[[0-9]]+|_pic\.a)$' else lt_cv_deplibs_check_method='match_pattern /lib[[^/]]+(\.so|_pic\.a)$' fi ;; newos6*) lt_cv_deplibs_check_method='file_magic ELF [[0-9]][[0-9]]*-bit [[ML]]SB (executable|dynamic lib)' lt_cv_file_magic_cmd=/usr/bin/file lt_cv_file_magic_test_file=/usr/lib/libnls.so ;; 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sni) lt_cv_file_magic_cmd='/bin/file' lt_cv_deplibs_check_method="file_magic ELF [[0-9]][[0-9]]*-bit [[LM]]SB dynamic lib" lt_cv_file_magic_test_file=/lib/libc.so ;; siemens) lt_cv_deplibs_check_method=pass_all ;; pc) lt_cv_deplibs_check_method=pass_all ;; esac ;; tpf*) lt_cv_deplibs_check_method=pass_all ;; os2*) lt_cv_deplibs_check_method=pass_all ;; esac ]) file_magic_glob= want_nocaseglob=no if test "$build" = "$host"; then case $host_os in mingw* | pw32*) if ( shopt | grep nocaseglob ) >/dev/null 2>&1; then want_nocaseglob=yes else file_magic_glob=`echo aAbBcCdDeEfFgGhHiIjJkKlLmMnNoOpPqQrRsStTuUvVwWxXyYzZ | $SED -e "s/\(..\)/s\/[[\1]]\/[[\1]]\/g;/g"` fi ;; esac fi file_magic_cmd=$lt_cv_file_magic_cmd deplibs_check_method=$lt_cv_deplibs_check_method test -z "$deplibs_check_method" && deplibs_check_method=unknown _LT_DECL([], [deplibs_check_method], [1], [Method to check whether dependent libraries are shared objects]) _LT_DECL([], [file_magic_cmd], [1], [Command to use when deplibs_check_method = "file_magic"]) _LT_DECL([], [file_magic_glob], [1], [How to find potential files when deplibs_check_method = "file_magic"]) _LT_DECL([], [want_nocaseglob], [1], [Find potential files using nocaseglob when deplibs_check_method = "file_magic"]) ])# _LT_CHECK_MAGIC_METHOD # LT_PATH_NM # ---------- # find the pathname to a BSD- or MS-compatible name lister AC_DEFUN([LT_PATH_NM], [AC_REQUIRE([AC_PROG_CC])dnl AC_CACHE_CHECK([for BSD- or MS-compatible name lister (nm)], lt_cv_path_NM, [if test -n "$NM"; 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then MANIFEST_TOOL=: fi _LT_DECL([], [MANIFEST_TOOL], [1], [Manifest tool])dnl ])# _LT_PATH_MANIFEST_TOOL # _LT_DLL_DEF_P([FILE]) # --------------------- # True iff FILE is a Windows DLL '.def' file. # Keep in sync with func_dll_def_p in the libtool script AC_DEFUN([_LT_DLL_DEF_P], [dnl test DEF = "`$SED -n dnl -e '\''s/^[[ ]]*//'\'' dnl Strip leading whitespace -e '\''/^\(;.*\)*$/d'\'' dnl Delete empty lines and comments -e '\''s/^\(EXPORTS\|LIBRARY\)\([[ ]].*\)*$/DEF/p'\'' dnl -e q dnl Only consider the first "real" line $1`" dnl ])# _LT_DLL_DEF_P # LT_LIB_M # -------- # check for math library AC_DEFUN([LT_LIB_M], [AC_REQUIRE([AC_CANONICAL_HOST])dnl LIBM= case $host in *-*-beos* | *-*-cegcc* | *-*-cygwin* | *-*-haiku* | *-*-pw32* | *-*-darwin*) # These system don't have libm, or don't need it ;; *-ncr-sysv4.3*) AC_CHECK_LIB(mw, _mwvalidcheckl, LIBM=-lmw) AC_CHECK_LIB(m, cos, LIBM="$LIBM -lm") ;; *) AC_CHECK_LIB(m, cos, LIBM=-lm) ;; esac AC_SUBST([LIBM]) ])# LT_LIB_M # Old name: AU_ALIAS([AC_CHECK_LIBM], [LT_LIB_M]) dnl aclocal-1.4 backwards compatibility: dnl AC_DEFUN([AC_CHECK_LIBM], []) # _LT_COMPILER_NO_RTTI([TAGNAME]) # ------------------------------- m4_defun([_LT_COMPILER_NO_RTTI], [m4_require([_LT_TAG_COMPILER])dnl _LT_TAGVAR(lt_prog_compiler_no_builtin_flag, $1)= if test yes = "$GCC"; 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What could be older than Ultrix?!! ;)] # Character class describing NM global symbol codes. symcode='[[BCDEGRST]]' # Regexp to match symbols that can be accessed directly from C. sympat='\([[_A-Za-z]][[_A-Za-z0-9]]*\)' # Define system-specific variables. case $host_os in aix*) symcode='[[BCDT]]' ;; cygwin* | mingw* | pw32* | cegcc*) symcode='[[ABCDGISTW]]' ;; hpux*) if test ia64 = "$host_cpu"; then symcode='[[ABCDEGRST]]' fi ;; irix* | nonstopux*) symcode='[[BCDEGRST]]' ;; osf*) symcode='[[BCDEGQRST]]' ;; solaris*) symcode='[[BDRT]]' ;; sco3.2v5*) symcode='[[DT]]' ;; sysv4.2uw2*) symcode='[[DT]]' ;; sysv5* | sco5v6* | unixware* | OpenUNIX*) symcode='[[ABDT]]' ;; sysv4) symcode='[[DFNSTU]]' ;; esac # If we're using GNU nm, then use its standard symbol codes. case `$NM -V 2>&1` in *GNU* | *'with BFD'*) symcode='[[ABCDGIRSTW]]' ;; esac if test "$lt_cv_nm_interface" = "MS dumpbin"; then # Gets list of data symbols to import. lt_cv_sys_global_symbol_to_import="sed -n -e 's/^I .* \(.*\)$/\1/p'" # Adjust the below global symbol transforms to fixup imported variables. lt_cdecl_hook=" -e 's/^I .* \(.*\)$/extern __declspec(dllimport) char \1;/p'" lt_c_name_hook=" -e 's/^I .* \(.*\)$/ {\"\1\", (void *) 0},/p'" lt_c_name_lib_hook="\ -e 's/^I .* \(lib.*\)$/ {\"\1\", (void *) 0},/p'\ -e 's/^I .* \(.*\)$/ {\"lib\1\", (void *) 0},/p'" else # Disable hooks by default. lt_cv_sys_global_symbol_to_import= lt_cdecl_hook= lt_c_name_hook= lt_c_name_lib_hook= fi # Transform an extracted symbol line into a proper C declaration. # Some systems (esp. on ia64) link data and code symbols differently, # so use this general approach. lt_cv_sys_global_symbol_to_cdecl="sed -n"\ $lt_cdecl_hook\ " -e 's/^T .* \(.*\)$/extern int \1();/p'"\ " -e 's/^$symcode$symcode* .* \(.*\)$/extern char \1;/p'" # Transform an extracted symbol line into symbol name and symbol address lt_cv_sys_global_symbol_to_c_name_address="sed -n"\ $lt_c_name_hook\ " -e 's/^: \(.*\) .*$/ {\"\1\", (void *) 0},/p'"\ " -e 's/^$symcode$symcode* .* \(.*\)$/ {\"\1\", (void *) \&\1},/p'" # Transform an extracted symbol line into symbol name with lib prefix and # symbol address. lt_cv_sys_global_symbol_to_c_name_address_lib_prefix="sed -n"\ $lt_c_name_lib_hook\ " -e 's/^: \(.*\) .*$/ {\"\1\", (void *) 0},/p'"\ " -e 's/^$symcode$symcode* .* \(lib.*\)$/ {\"\1\", (void *) \&\1},/p'"\ " -e 's/^$symcode$symcode* .* \(.*\)$/ {\"lib\1\", (void *) \&\1},/p'" # Handle CRLF in mingw tool chain opt_cr= case $build_os in mingw*) opt_cr=`$ECHO 'x\{0,1\}' | tr x '\015'` # option cr in regexp ;; esac # Try without a prefix underscore, then with it. for ac_symprfx in "" "_"; do # Transform symcode, sympat, and symprfx into a raw symbol and a C symbol. symxfrm="\\1 $ac_symprfx\\2 \\2" # Write the raw and C identifiers. if test "$lt_cv_nm_interface" = "MS dumpbin"; then # Fake it for dumpbin and say T for any non-static function, # D for any global variable and I for any imported variable. # Also find C++ and __fastcall symbols from MSVC++, # which start with @ or ?. lt_cv_sys_global_symbol_pipe="$AWK ['"\ " {last_section=section; section=\$ 3};"\ " /^COFF SYMBOL TABLE/{for(i in hide) delete hide[i]};"\ " /Section length .*#relocs.*(pick any)/{hide[last_section]=1};"\ " /^ *Symbol name *: /{split(\$ 0,sn,\":\"); si=substr(sn[2],2)};"\ " /^ *Type *: code/{print \"T\",si,substr(si,length(prfx))};"\ " /^ *Type *: data/{print \"I\",si,substr(si,length(prfx))};"\ " \$ 0!~/External *\|/{next};"\ " / 0+ UNDEF /{next}; / UNDEF \([^|]\)*()/{next};"\ " {if(hide[section]) next};"\ " {f=\"D\"}; \$ 0~/\(\).*\|/{f=\"T\"};"\ " {split(\$ 0,a,/\||\r/); split(a[2],s)};"\ " s[1]~/^[@?]/{print f,s[1],s[1]; next};"\ " s[1]~prfx {split(s[1],t,\"@\"); print f,t[1],substr(t[1],length(prfx))}"\ " ' prfx=^$ac_symprfx]" else lt_cv_sys_global_symbol_pipe="sed -n -e 's/^.*[[ ]]\($symcode$symcode*\)[[ ]][[ ]]*$ac_symprfx$sympat$opt_cr$/$symxfrm/p'" fi lt_cv_sys_global_symbol_pipe="$lt_cv_sys_global_symbol_pipe | sed '/ __gnu_lto/d'" # Check to see that the pipe works correctly. pipe_works=no rm -rf conftest* cat > conftest.$ac_ext <<_LT_EOF #ifdef __cplusplus extern "C" { #endif char nm_test_var; void nm_test_func(void); void nm_test_func(void){} #ifdef __cplusplus } #endif int main(){nm_test_var='a';nm_test_func();return(0);} _LT_EOF if AC_TRY_EVAL(ac_compile); then # Now try to grab the symbols. nlist=conftest.nm if AC_TRY_EVAL(NM conftest.$ac_objext \| "$lt_cv_sys_global_symbol_pipe" \> $nlist) && test -s "$nlist"; then # Try sorting and uniquifying the output. if sort "$nlist" | uniq > "$nlist"T; then mv -f "$nlist"T "$nlist" else rm -f "$nlist"T fi # Make sure that we snagged all the symbols we need. if $GREP ' nm_test_var$' "$nlist" >/dev/null; then if $GREP ' nm_test_func$' "$nlist" >/dev/null; then cat <<_LT_EOF > conftest.$ac_ext /* Keep this code in sync between libtool.m4, ltmain, lt_system.h, and tests. */ #if defined _WIN32 || defined __CYGWIN__ || defined _WIN32_WCE /* DATA imports from DLLs on WIN32 can't be const, because runtime relocations are performed -- see ld's documentation on pseudo-relocs. */ # define LT@&t@_DLSYM_CONST #elif defined __osf__ /* This system does not cope well with relocations in const data. */ # define LT@&t@_DLSYM_CONST #else # define LT@&t@_DLSYM_CONST const #endif #ifdef __cplusplus extern "C" { #endif _LT_EOF # Now generate the symbol file. eval "$lt_cv_sys_global_symbol_to_cdecl"' < "$nlist" | $GREP -v main >> conftest.$ac_ext' cat <<_LT_EOF >> conftest.$ac_ext /* The mapping between symbol names and symbols. */ LT@&t@_DLSYM_CONST struct { const char *name; void *address; } lt__PROGRAM__LTX_preloaded_symbols[[]] = { { "@PROGRAM@", (void *) 0 }, _LT_EOF $SED "s/^$symcode$symcode* .* \(.*\)$/ {\"\1\", (void *) \&\1},/" < "$nlist" | $GREP -v main >> conftest.$ac_ext cat <<\_LT_EOF >> conftest.$ac_ext {0, (void *) 0} }; /* This works around a problem in FreeBSD linker */ #ifdef FREEBSD_WORKAROUND static const void *lt_preloaded_setup() { return lt__PROGRAM__LTX_preloaded_symbols; } #endif #ifdef __cplusplus } #endif _LT_EOF # Now try linking the two files. mv conftest.$ac_objext conftstm.$ac_objext lt_globsym_save_LIBS=$LIBS lt_globsym_save_CFLAGS=$CFLAGS LIBS=conftstm.$ac_objext CFLAGS="$CFLAGS$_LT_TAGVAR(lt_prog_compiler_no_builtin_flag, $1)" if AC_TRY_EVAL(ac_link) && test -s conftest$ac_exeext; then pipe_works=yes fi LIBS=$lt_globsym_save_LIBS CFLAGS=$lt_globsym_save_CFLAGS else echo "cannot find nm_test_func in $nlist" >&AS_MESSAGE_LOG_FD fi else echo "cannot find nm_test_var in $nlist" >&AS_MESSAGE_LOG_FD fi else echo "cannot run $lt_cv_sys_global_symbol_pipe" >&AS_MESSAGE_LOG_FD fi else echo "$progname: failed program was:" >&AS_MESSAGE_LOG_FD cat conftest.$ac_ext >&5 fi rm -rf conftest* conftst* # Do not use the global_symbol_pipe unless it works. if test yes = "$pipe_works"; then break else lt_cv_sys_global_symbol_pipe= fi done ]) if test -z "$lt_cv_sys_global_symbol_pipe"; then lt_cv_sys_global_symbol_to_cdecl= fi if test -z "$lt_cv_sys_global_symbol_pipe$lt_cv_sys_global_symbol_to_cdecl"; then AC_MSG_RESULT(failed) else AC_MSG_RESULT(ok) fi # Response file support. if test "$lt_cv_nm_interface" = "MS dumpbin"; then nm_file_list_spec='@' elif $NM --help 2>/dev/null | grep '[[@]]FILE' >/dev/null; then nm_file_list_spec='@' fi _LT_DECL([global_symbol_pipe], [lt_cv_sys_global_symbol_pipe], [1], [Take the output of nm and produce a listing of raw symbols and C names]) _LT_DECL([global_symbol_to_cdecl], [lt_cv_sys_global_symbol_to_cdecl], [1], [Transform the output of nm in a proper C declaration]) _LT_DECL([global_symbol_to_import], [lt_cv_sys_global_symbol_to_import], [1], [Transform the output of nm into a list of symbols to manually relocate]) _LT_DECL([global_symbol_to_c_name_address], [lt_cv_sys_global_symbol_to_c_name_address], [1], [Transform the output of nm in a C name address pair]) _LT_DECL([global_symbol_to_c_name_address_lib_prefix], [lt_cv_sys_global_symbol_to_c_name_address_lib_prefix], [1], [Transform the output of nm in a C name address pair when lib prefix is needed]) _LT_DECL([nm_interface], [lt_cv_nm_interface], [1], [The name lister interface]) _LT_DECL([], [nm_file_list_spec], [1], [Specify filename containing input files for $NM]) ]) # _LT_CMD_GLOBAL_SYMBOLS # _LT_COMPILER_PIC([TAGNAME]) # --------------------------- m4_defun([_LT_COMPILER_PIC], [m4_require([_LT_TAG_COMPILER])dnl _LT_TAGVAR(lt_prog_compiler_wl, $1)= _LT_TAGVAR(lt_prog_compiler_pic, $1)= _LT_TAGVAR(lt_prog_compiler_static, $1)= m4_if([$1], [CXX], [ # C++ specific cases for pic, static, wl, etc. if test yes = "$GXX"; then _LT_TAGVAR(lt_prog_compiler_wl, $1)='-Wl,' _LT_TAGVAR(lt_prog_compiler_static, $1)='-static' case $host_os in aix*) # All AIX code is PIC. if test ia64 = "$host_cpu"; then # AIX 5 now supports IA64 processor _LT_TAGVAR(lt_prog_compiler_static, $1)='-Bstatic' fi _LT_TAGVAR(lt_prog_compiler_pic, $1)='-fPIC' ;; amigaos*) case $host_cpu in powerpc) # see comment about AmigaOS4 .so support _LT_TAGVAR(lt_prog_compiler_pic, $1)='-fPIC' ;; m68k) # FIXME: we need at least 68020 code to build shared libraries, but # adding the '-m68020' flag to GCC prevents building anything better, # like '-m68040'. _LT_TAGVAR(lt_prog_compiler_pic, $1)='-m68020 -resident32 -malways-restore-a4' ;; esac ;; beos* | irix5* | irix6* | nonstopux* | osf3* | osf4* | osf5*) # PIC is the default for these OSes. ;; mingw* | cygwin* | os2* | pw32* | cegcc*) # This hack is so that the source file can tell whether it is being # built for inclusion in a dll (and should export symbols for example). # Although the cygwin gcc ignores -fPIC, still need this for old-style # (--disable-auto-import) libraries m4_if([$1], [GCJ], [], [_LT_TAGVAR(lt_prog_compiler_pic, $1)='-DDLL_EXPORT']) case $host_os in os2*) _LT_TAGVAR(lt_prog_compiler_static, $1)='$wl-static' ;; esac ;; darwin* | rhapsody*) # PIC is the default on this platform # Common symbols not allowed in MH_DYLIB files _LT_TAGVAR(lt_prog_compiler_pic, $1)='-fno-common' ;; *djgpp*) # DJGPP does not support shared libraries at all _LT_TAGVAR(lt_prog_compiler_pic, $1)= ;; haiku*) # PIC is the default for Haiku. # The "-static" flag exists, but is broken. _LT_TAGVAR(lt_prog_compiler_static, $1)= ;; interix[[3-9]]*) # Interix 3.x gcc -fpic/-fPIC options generate broken code. # Instead, we relocate shared libraries at runtime. ;; sysv4*MP*) if test -d /usr/nec; then _LT_TAGVAR(lt_prog_compiler_pic, $1)=-Kconform_pic fi ;; hpux*) # PIC is the default for 64-bit PA HP-UX, but not for 32-bit # PA HP-UX. On IA64 HP-UX, PIC is the default but the pic flag # sets the default TLS model and affects inlining. case $host_cpu in hppa*64*) ;; *) _LT_TAGVAR(lt_prog_compiler_pic, $1)='-fPIC' ;; esac ;; *qnx* | *nto*) # QNX uses GNU C++, but need to define -shared option too, otherwise # it will coredump. _LT_TAGVAR(lt_prog_compiler_pic, $1)='-fPIC -shared' ;; *) _LT_TAGVAR(lt_prog_compiler_pic, $1)='-fPIC' ;; esac else case $host_os in aix[[4-9]]*) # All AIX code is PIC. if test ia64 = "$host_cpu"; then # AIX 5 now supports IA64 processor _LT_TAGVAR(lt_prog_compiler_static, $1)='-Bstatic' else _LT_TAGVAR(lt_prog_compiler_static, $1)='-bnso -bI:/lib/syscalls.exp' fi ;; chorus*) case $cc_basename in cxch68*) # Green Hills C++ Compiler # _LT_TAGVAR(lt_prog_compiler_static, $1)="--no_auto_instantiation -u __main -u __premain -u _abort -r $COOL_DIR/lib/libOrb.a $MVME_DIR/lib/CC/libC.a $MVME_DIR/lib/classix/libcx.s.a" ;; esac ;; mingw* | cygwin* | os2* | pw32* | cegcc*) # This hack is so that the source file can tell whether it is being # built for inclusion in a dll (and should export symbols for example). m4_if([$1], [GCJ], [], [_LT_TAGVAR(lt_prog_compiler_pic, $1)='-DDLL_EXPORT']) ;; dgux*) case $cc_basename in ec++*) _LT_TAGVAR(lt_prog_compiler_pic, $1)='-KPIC' ;; ghcx*) # Green Hills C++ Compiler _LT_TAGVAR(lt_prog_compiler_pic, $1)='-pic' ;; *) ;; esac ;; freebsd* | dragonfly*) # FreeBSD uses GNU C++ ;; hpux9* | hpux10* | hpux11*) case $cc_basename in CC*) _LT_TAGVAR(lt_prog_compiler_wl, $1)='-Wl,' _LT_TAGVAR(lt_prog_compiler_static, $1)='$wl-a ${wl}archive' if test ia64 != "$host_cpu"; then _LT_TAGVAR(lt_prog_compiler_pic, $1)='+Z' fi ;; aCC*) _LT_TAGVAR(lt_prog_compiler_wl, $1)='-Wl,' _LT_TAGVAR(lt_prog_compiler_static, $1)='$wl-a ${wl}archive' case $host_cpu in hppa*64*|ia64*) # +Z the default ;; *) _LT_TAGVAR(lt_prog_compiler_pic, $1)='+Z' ;; esac ;; *) ;; esac ;; interix*) # This is c89, which is MS Visual C++ (no shared libs) # Anyone wants to do a port? ;; irix5* | irix6* | nonstopux*) case $cc_basename in CC*) _LT_TAGVAR(lt_prog_compiler_wl, $1)='-Wl,' _LT_TAGVAR(lt_prog_compiler_static, $1)='-non_shared' # CC pic flag -KPIC is the default. ;; *) ;; esac ;; linux* | k*bsd*-gnu | kopensolaris*-gnu | gnu*) case $cc_basename in KCC*) # KAI C++ Compiler _LT_TAGVAR(lt_prog_compiler_wl, $1)='--backend -Wl,' _LT_TAGVAR(lt_prog_compiler_pic, $1)='-fPIC' ;; ecpc* ) # old Intel C++ for x86_64, which still supported -KPIC. _LT_TAGVAR(lt_prog_compiler_wl, $1)='-Wl,' _LT_TAGVAR(lt_prog_compiler_pic, $1)='-KPIC' _LT_TAGVAR(lt_prog_compiler_static, $1)='-static' ;; icpc* ) # Intel C++, used to be incompatible with GCC. # ICC 10 doesn't accept -KPIC any more. _LT_TAGVAR(lt_prog_compiler_wl, $1)='-Wl,' _LT_TAGVAR(lt_prog_compiler_pic, $1)='-fPIC' _LT_TAGVAR(lt_prog_compiler_static, $1)='-static' ;; pgCC* | pgcpp*) # Portland Group C++ compiler _LT_TAGVAR(lt_prog_compiler_wl, $1)='-Wl,' _LT_TAGVAR(lt_prog_compiler_pic, $1)='-fpic' _LT_TAGVAR(lt_prog_compiler_static, $1)='-Bstatic' ;; cxx*) # Compaq C++ # Make sure the PIC flag is empty. It appears that all Alpha # Linux and Compaq Tru64 Unix objects are PIC. _LT_TAGVAR(lt_prog_compiler_pic, $1)= _LT_TAGVAR(lt_prog_compiler_static, $1)='-non_shared' ;; xlc* | xlC* | bgxl[[cC]]* | mpixl[[cC]]*) # IBM XL 8.0, 9.0 on PPC and BlueGene _LT_TAGVAR(lt_prog_compiler_wl, $1)='-Wl,' _LT_TAGVAR(lt_prog_compiler_pic, $1)='-qpic' _LT_TAGVAR(lt_prog_compiler_static, $1)='-qstaticlink' ;; *) case `$CC -V 2>&1 | sed 5q` in *Sun\ C*) # Sun C++ 5.9 _LT_TAGVAR(lt_prog_compiler_pic, $1)='-KPIC' _LT_TAGVAR(lt_prog_compiler_static, $1)='-Bstatic' _LT_TAGVAR(lt_prog_compiler_wl, $1)='-Qoption ld ' ;; esac ;; esac ;; lynxos*) ;; m88k*) ;; mvs*) case $cc_basename in cxx*) _LT_TAGVAR(lt_prog_compiler_pic, $1)='-W c,exportall' ;; *) ;; esac ;; netbsd*) ;; *qnx* | *nto*) # QNX uses GNU C++, but need to define -shared option too, otherwise # it will coredump. _LT_TAGVAR(lt_prog_compiler_pic, $1)='-fPIC -shared' ;; osf3* | osf4* | osf5*) case $cc_basename in KCC*) _LT_TAGVAR(lt_prog_compiler_wl, $1)='--backend -Wl,' ;; RCC*) # Rational C++ 2.4.1 _LT_TAGVAR(lt_prog_compiler_pic, $1)='-pic' ;; cxx*) # Digital/Compaq C++ _LT_TAGVAR(lt_prog_compiler_wl, $1)='-Wl,' # Make sure the PIC flag is empty. It appears that all Alpha # Linux and Compaq Tru64 Unix objects are PIC. _LT_TAGVAR(lt_prog_compiler_pic, $1)= _LT_TAGVAR(lt_prog_compiler_static, $1)='-non_shared' ;; *) ;; esac ;; psos*) ;; solaris*) case $cc_basename in CC* | sunCC*) # Sun C++ 4.2, 5.x and Centerline C++ _LT_TAGVAR(lt_prog_compiler_pic, $1)='-KPIC' _LT_TAGVAR(lt_prog_compiler_static, $1)='-Bstatic' _LT_TAGVAR(lt_prog_compiler_wl, $1)='-Qoption ld ' ;; gcx*) # Green Hills C++ Compiler _LT_TAGVAR(lt_prog_compiler_pic, $1)='-PIC' ;; *) ;; esac ;; sunos4*) case $cc_basename in CC*) # Sun C++ 4.x _LT_TAGVAR(lt_prog_compiler_pic, $1)='-pic' _LT_TAGVAR(lt_prog_compiler_static, $1)='-Bstatic' ;; lcc*) # Lucid _LT_TAGVAR(lt_prog_compiler_pic, $1)='-pic' ;; *) ;; esac ;; sysv5* | unixware* | sco3.2v5* | sco5v6* | OpenUNIX*) case $cc_basename in CC*) _LT_TAGVAR(lt_prog_compiler_wl, $1)='-Wl,' _LT_TAGVAR(lt_prog_compiler_pic, $1)='-KPIC' _LT_TAGVAR(lt_prog_compiler_static, $1)='-Bstatic' ;; esac ;; tandem*) case $cc_basename in NCC*) # NonStop-UX NCC 3.20 _LT_TAGVAR(lt_prog_compiler_pic, $1)='-KPIC' ;; *) ;; esac ;; vxworks*) ;; *) _LT_TAGVAR(lt_prog_compiler_can_build_shared, $1)=no ;; esac fi ], [ if test yes = "$GCC"; then _LT_TAGVAR(lt_prog_compiler_wl, $1)='-Wl,' _LT_TAGVAR(lt_prog_compiler_static, $1)='-static' case $host_os in aix*) # All AIX code is PIC. if test ia64 = "$host_cpu"; then # AIX 5 now supports IA64 processor _LT_TAGVAR(lt_prog_compiler_static, $1)='-Bstatic' fi _LT_TAGVAR(lt_prog_compiler_pic, $1)='-fPIC' ;; amigaos*) case $host_cpu in powerpc) # see comment about AmigaOS4 .so support _LT_TAGVAR(lt_prog_compiler_pic, $1)='-fPIC' ;; m68k) # FIXME: we need at least 68020 code to build shared libraries, but # adding the '-m68020' flag to GCC prevents building anything better, # like '-m68040'. _LT_TAGVAR(lt_prog_compiler_pic, $1)='-m68020 -resident32 -malways-restore-a4' ;; esac ;; beos* | irix5* | irix6* | nonstopux* | osf3* | osf4* | osf5*) # PIC is the default for these OSes. ;; mingw* | cygwin* | pw32* | os2* | cegcc*) # This hack is so that the source file can tell whether it is being # built for inclusion in a dll (and should export symbols for example). # Although the cygwin gcc ignores -fPIC, still need this for old-style # (--disable-auto-import) libraries m4_if([$1], [GCJ], [], [_LT_TAGVAR(lt_prog_compiler_pic, $1)='-DDLL_EXPORT']) case $host_os in os2*) _LT_TAGVAR(lt_prog_compiler_static, $1)='$wl-static' ;; esac ;; darwin* | rhapsody*) # PIC is the default on this platform # Common symbols not allowed in MH_DYLIB files _LT_TAGVAR(lt_prog_compiler_pic, $1)='-fno-common' ;; haiku*) # PIC is the default for Haiku. # The "-static" flag exists, but is broken. _LT_TAGVAR(lt_prog_compiler_static, $1)= ;; hpux*) # PIC is the default for 64-bit PA HP-UX, but not for 32-bit # PA HP-UX. On IA64 HP-UX, PIC is the default but the pic flag # sets the default TLS model and affects inlining. case $host_cpu in hppa*64*) # +Z the default ;; *) _LT_TAGVAR(lt_prog_compiler_pic, $1)='-fPIC' ;; esac ;; interix[[3-9]]*) # Interix 3.x gcc -fpic/-fPIC options generate broken code. # Instead, we relocate shared libraries at runtime. ;; msdosdjgpp*) # Just because we use GCC doesn't mean we suddenly get shared libraries # on systems that don't support them. _LT_TAGVAR(lt_prog_compiler_can_build_shared, $1)=no enable_shared=no ;; *nto* | *qnx*) # QNX uses GNU C++, but need to define -shared option too, otherwise # it will coredump. _LT_TAGVAR(lt_prog_compiler_pic, $1)='-fPIC -shared' ;; sysv4*MP*) if test -d /usr/nec; then _LT_TAGVAR(lt_prog_compiler_pic, $1)=-Kconform_pic fi ;; *) _LT_TAGVAR(lt_prog_compiler_pic, $1)='-fPIC' ;; esac case $cc_basename in nvcc*) # Cuda Compiler Driver 2.2 _LT_TAGVAR(lt_prog_compiler_wl, $1)='-Xlinker ' if test -n "$_LT_TAGVAR(lt_prog_compiler_pic, $1)"; then _LT_TAGVAR(lt_prog_compiler_pic, $1)="-Xcompiler $_LT_TAGVAR(lt_prog_compiler_pic, $1)" fi ;; esac else # PORTME Check for flag to pass linker flags through the system compiler. case $host_os in aix*) _LT_TAGVAR(lt_prog_compiler_wl, $1)='-Wl,' if test ia64 = "$host_cpu"; then # AIX 5 now supports IA64 processor _LT_TAGVAR(lt_prog_compiler_static, $1)='-Bstatic' else _LT_TAGVAR(lt_prog_compiler_static, $1)='-bnso -bI:/lib/syscalls.exp' fi ;; darwin* | rhapsody*) # PIC is the default on this platform # Common symbols not allowed in MH_DYLIB files _LT_TAGVAR(lt_prog_compiler_pic, $1)='-fno-common' case $cc_basename in nagfor*) # NAG Fortran compiler _LT_TAGVAR(lt_prog_compiler_wl, $1)='-Wl,-Wl,,' _LT_TAGVAR(lt_prog_compiler_pic, $1)='-PIC' _LT_TAGVAR(lt_prog_compiler_static, $1)='-Bstatic' ;; esac ;; mingw* | cygwin* | pw32* | os2* | cegcc*) # This hack is so that the source file can tell whether it is being # built for inclusion in a dll (and should export symbols for example). m4_if([$1], [GCJ], [], [_LT_TAGVAR(lt_prog_compiler_pic, $1)='-DDLL_EXPORT']) case $host_os in os2*) _LT_TAGVAR(lt_prog_compiler_static, $1)='$wl-static' ;; esac ;; hpux9* | hpux10* | hpux11*) _LT_TAGVAR(lt_prog_compiler_wl, $1)='-Wl,' # PIC is the default for IA64 HP-UX and 64-bit HP-UX, but # not for PA HP-UX. case $host_cpu in hppa*64*|ia64*) # +Z the default ;; *) _LT_TAGVAR(lt_prog_compiler_pic, $1)='+Z' ;; esac # Is there a better lt_prog_compiler_static that works with the bundled CC? _LT_TAGVAR(lt_prog_compiler_static, $1)='$wl-a ${wl}archive' ;; irix5* | irix6* | nonstopux*) _LT_TAGVAR(lt_prog_compiler_wl, $1)='-Wl,' # PIC (with -KPIC) is the default. _LT_TAGVAR(lt_prog_compiler_static, $1)='-non_shared' ;; linux* | k*bsd*-gnu | kopensolaris*-gnu | gnu*) case $cc_basename in # old Intel for x86_64, which still supported -KPIC. ecc*) _LT_TAGVAR(lt_prog_compiler_wl, $1)='-Wl,' _LT_TAGVAR(lt_prog_compiler_pic, $1)='-KPIC' _LT_TAGVAR(lt_prog_compiler_static, $1)='-static' ;; # icc used to be incompatible with GCC. # ICC 10 doesn't accept -KPIC any more. icc* | ifort*) _LT_TAGVAR(lt_prog_compiler_wl, $1)='-Wl,' _LT_TAGVAR(lt_prog_compiler_pic, $1)='-fPIC' _LT_TAGVAR(lt_prog_compiler_static, $1)='-static' ;; 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*) case `$CC -V 2>&1 | sed 5q` in *Sun\ Ceres\ Fortran* | *Sun*Fortran*\ [[1-7]].* | *Sun*Fortran*\ 8.[[0-3]]*) # Sun Fortran 8.3 passes all unrecognized flags to the linker _LT_TAGVAR(lt_prog_compiler_pic, $1)='-KPIC' _LT_TAGVAR(lt_prog_compiler_static, $1)='-Bstatic' _LT_TAGVAR(lt_prog_compiler_wl, $1)='' ;; *Sun\ F* | *Sun*Fortran*) _LT_TAGVAR(lt_prog_compiler_pic, $1)='-KPIC' _LT_TAGVAR(lt_prog_compiler_static, $1)='-Bstatic' _LT_TAGVAR(lt_prog_compiler_wl, $1)='-Qoption ld ' ;; *Sun\ C*) # Sun C 5.9 _LT_TAGVAR(lt_prog_compiler_pic, $1)='-KPIC' _LT_TAGVAR(lt_prog_compiler_static, $1)='-Bstatic' _LT_TAGVAR(lt_prog_compiler_wl, $1)='-Wl,' ;; *Intel*\ [[CF]]*Compiler*) _LT_TAGVAR(lt_prog_compiler_wl, $1)='-Wl,' _LT_TAGVAR(lt_prog_compiler_pic, $1)='-fPIC' _LT_TAGVAR(lt_prog_compiler_static, $1)='-static' ;; *Portland\ Group*) _LT_TAGVAR(lt_prog_compiler_wl, $1)='-Wl,' _LT_TAGVAR(lt_prog_compiler_pic, $1)='-fpic' _LT_TAGVAR(lt_prog_compiler_static, $1)='-Bstatic' ;; esac ;; esac ;; newsos6) _LT_TAGVAR(lt_prog_compiler_pic, $1)='-KPIC' _LT_TAGVAR(lt_prog_compiler_static, $1)='-Bstatic' ;; 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then _LT_TAGVAR(lt_prog_compiler_pic, $1)='-Kconform_pic' _LT_TAGVAR(lt_prog_compiler_static, $1)='-Bstatic' fi ;; sysv5* | unixware* | sco3.2v5* | sco5v6* | OpenUNIX*) _LT_TAGVAR(lt_prog_compiler_wl, $1)='-Wl,' _LT_TAGVAR(lt_prog_compiler_pic, $1)='-KPIC' _LT_TAGVAR(lt_prog_compiler_static, $1)='-Bstatic' ;; unicos*) _LT_TAGVAR(lt_prog_compiler_wl, $1)='-Wl,' _LT_TAGVAR(lt_prog_compiler_can_build_shared, $1)=no ;; uts4*) _LT_TAGVAR(lt_prog_compiler_pic, $1)='-pic' _LT_TAGVAR(lt_prog_compiler_static, $1)='-Bstatic' ;; *) _LT_TAGVAR(lt_prog_compiler_can_build_shared, $1)=no ;; esac fi ]) case $host_os in # For platforms that do not support PIC, -DPIC is meaningless: *djgpp*) _LT_TAGVAR(lt_prog_compiler_pic, $1)= ;; *) _LT_TAGVAR(lt_prog_compiler_pic, $1)="$_LT_TAGVAR(lt_prog_compiler_pic, $1)@&t@m4_if([$1],[],[ -DPIC],[m4_if([$1],[CXX],[ -DPIC],[])])" ;; esac AC_CACHE_CHECK([for $compiler option to produce PIC], [_LT_TAGVAR(lt_cv_prog_compiler_pic, $1)], [_LT_TAGVAR(lt_cv_prog_compiler_pic, $1)=$_LT_TAGVAR(lt_prog_compiler_pic, $1)]) _LT_TAGVAR(lt_prog_compiler_pic, $1)=$_LT_TAGVAR(lt_cv_prog_compiler_pic, $1) # # Check to make sure the PIC flag actually works. # if test -n "$_LT_TAGVAR(lt_prog_compiler_pic, $1)"; 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Moving up from 0x10000000 also allows more sbrk(2) space. _LT_TAGVAR(archive_cmds, $1)='$CC -shared $pic_flag $libobjs $deplibs $compiler_flags $wl-h,$soname $wl--image-base,`expr ${RANDOM-$$} % 4096 / 2 \* 262144 + 1342177280` -o $lib' _LT_TAGVAR(archive_expsym_cmds, $1)='sed "s|^|_|" $export_symbols >$output_objdir/$soname.expsym~$CC -shared $pic_flag $libobjs $deplibs $compiler_flags $wl-h,$soname $wl--retain-symbols-file,$output_objdir/$soname.expsym $wl--image-base,`expr ${RANDOM-$$} % 4096 / 2 \* 262144 + 1342177280` -o $lib' ;; gnu* | linux* | tpf* | k*bsd*-gnu | kopensolaris*-gnu) tmp_diet=no if test linux-dietlibc = "$host_os"; then case $cc_basename in diet\ *) tmp_diet=yes;; # linux-dietlibc with static linking (!diet-dyn) esac fi if $LD --help 2>&1 | $EGREP ': supported targets:.* elf' > /dev/null \ && test no = "$tmp_diet" then tmp_addflag=' $pic_flag' tmp_sharedflag='-shared' case $cc_basename,$host_cpu in pgcc*) # Portland Group C compiler _LT_TAGVAR(whole_archive_flag_spec, $1)='$wl--whole-archive`for conv in $convenience\"\"; do test -n \"$conv\" && new_convenience=\"$new_convenience,$conv\"; done; func_echo_all \"$new_convenience\"` $wl--no-whole-archive' tmp_addflag=' $pic_flag' ;; pgf77* | pgf90* | pgf95* | pgfortran*) # Portland Group f77 and f90 compilers _LT_TAGVAR(whole_archive_flag_spec, $1)='$wl--whole-archive`for conv in $convenience\"\"; do test -n \"$conv\" && new_convenience=\"$new_convenience,$conv\"; done; func_echo_all \"$new_convenience\"` $wl--no-whole-archive' tmp_addflag=' $pic_flag -Mnomain' ;; ecc*,ia64* | icc*,ia64*) # Intel C compiler on ia64 tmp_addflag=' -i_dynamic' ;; efc*,ia64* | ifort*,ia64*) # Intel Fortran compiler on ia64 tmp_addflag=' -i_dynamic -nofor_main' ;; ifc* | ifort*) # Intel Fortran compiler tmp_addflag=' -nofor_main' ;; lf95*) # Lahey Fortran 8.1 _LT_TAGVAR(whole_archive_flag_spec, $1)= tmp_sharedflag='--shared' ;; nagfor*) # NAGFOR 5.3 tmp_sharedflag='-Wl,-shared' ;; xl[[cC]]* | bgxl[[cC]]* | mpixl[[cC]]*) # IBM XL C 8.0 on PPC (deal with xlf below) tmp_sharedflag='-qmkshrobj' tmp_addflag= ;; nvcc*) # Cuda Compiler Driver 2.2 _LT_TAGVAR(whole_archive_flag_spec, $1)='$wl--whole-archive`for conv in $convenience\"\"; do test -n \"$conv\" && new_convenience=\"$new_convenience,$conv\"; done; func_echo_all \"$new_convenience\"` $wl--no-whole-archive' _LT_TAGVAR(compiler_needs_object, $1)=yes ;; esac case `$CC -V 2>&1 | sed 5q` in *Sun\ C*) # Sun C 5.9 _LT_TAGVAR(whole_archive_flag_spec, $1)='$wl--whole-archive`new_convenience=; for conv in $convenience\"\"; do test -z \"$conv\" || new_convenience=\"$new_convenience,$conv\"; done; func_echo_all \"$new_convenience\"` $wl--no-whole-archive' _LT_TAGVAR(compiler_needs_object, $1)=yes tmp_sharedflag='-G' ;; *Sun\ F*) # Sun Fortran 8.3 tmp_sharedflag='-G' ;; esac _LT_TAGVAR(archive_cmds, $1)='$CC '"$tmp_sharedflag""$tmp_addflag"' $libobjs $deplibs $compiler_flags $wl-soname $wl$soname -o $lib' if test yes = "$supports_anon_versioning"; then _LT_TAGVAR(archive_expsym_cmds, $1)='echo "{ global:" > $output_objdir/$libname.ver~ cat $export_symbols | sed -e "s/\(.*\)/\1;/" >> $output_objdir/$libname.ver~ echo "local: *; };" >> $output_objdir/$libname.ver~ $CC '"$tmp_sharedflag""$tmp_addflag"' $libobjs $deplibs $compiler_flags $wl-soname $wl$soname $wl-version-script $wl$output_objdir/$libname.ver -o $lib' fi case $cc_basename in tcc*) _LT_TAGVAR(export_dynamic_flag_spec, $1)='-rdynamic' ;; xlf* | bgf* | bgxlf* | mpixlf*) # IBM XL Fortran 10.1 on PPC cannot create shared libs itself _LT_TAGVAR(whole_archive_flag_spec, $1)='--whole-archive$convenience --no-whole-archive' _LT_TAGVAR(hardcode_libdir_flag_spec, $1)='$wl-rpath $wl$libdir' _LT_TAGVAR(archive_cmds, $1)='$LD -shared $libobjs $deplibs $linker_flags -soname $soname -o $lib' if test yes = "$supports_anon_versioning"; then _LT_TAGVAR(archive_expsym_cmds, $1)='echo "{ global:" > $output_objdir/$libname.ver~ cat $export_symbols | sed -e "s/\(.*\)/\1;/" >> $output_objdir/$libname.ver~ echo "local: *; };" >> $output_objdir/$libname.ver~ $LD -shared $libobjs $deplibs $linker_flags -soname $soname -version-script $output_objdir/$libname.ver -o $lib' fi ;; esac else _LT_TAGVAR(ld_shlibs, $1)=no fi ;; netbsd*) if echo __ELF__ | $CC -E - | $GREP __ELF__ >/dev/null; then _LT_TAGVAR(archive_cmds, $1)='$LD -Bshareable $libobjs $deplibs $linker_flags -o $lib' wlarc= else _LT_TAGVAR(archive_cmds, $1)='$CC -shared $pic_flag $libobjs $deplibs $compiler_flags $wl-soname $wl$soname -o $lib' _LT_TAGVAR(archive_expsym_cmds, $1)='$CC -shared $pic_flag $libobjs $deplibs $compiler_flags $wl-soname $wl$soname $wl-retain-symbols-file $wl$export_symbols -o $lib' fi ;; solaris*) if $LD -v 2>&1 | $GREP 'BFD 2\.8' > /dev/null; then _LT_TAGVAR(ld_shlibs, $1)=no cat <<_LT_EOF 1>&2 *** Warning: The releases 2.8.* of the GNU linker cannot reliably *** create shared libraries on Solaris systems. Therefore, libtool *** is disabling shared libraries support. We urge you to upgrade GNU *** binutils to release 2.9.1 or newer. Another option is to modify *** your PATH or compiler configuration so that the native linker is *** used, and then restart. _LT_EOF elif $LD --help 2>&1 | $GREP ': supported targets:.* elf' > /dev/null; then _LT_TAGVAR(archive_cmds, $1)='$CC -shared $pic_flag $libobjs $deplibs $compiler_flags $wl-soname $wl$soname -o $lib' _LT_TAGVAR(archive_expsym_cmds, $1)='$CC -shared $pic_flag $libobjs $deplibs $compiler_flags $wl-soname $wl$soname $wl-retain-symbols-file $wl$export_symbols -o $lib' else _LT_TAGVAR(ld_shlibs, $1)=no fi ;; sysv5* | sco3.2v5* | sco5v6* | unixware* | OpenUNIX*) case `$LD -v 2>&1` in *\ [[01]].* | *\ 2.[[0-9]].* | *\ 2.1[[0-5]].*) _LT_TAGVAR(ld_shlibs, $1)=no cat <<_LT_EOF 1>&2 *** Warning: Releases of the GNU linker prior to 2.16.91.0.3 cannot *** reliably create shared libraries on SCO systems. Therefore, libtool *** is disabling shared libraries support. We urge you to upgrade GNU *** binutils to release 2.16.91.0.3 or newer. Another option is to modify *** your PATH or compiler configuration so that the native linker is *** used, and then restart. _LT_EOF ;; *) # For security reasons, it is highly recommended that you always # use absolute paths for naming shared libraries, and exclude the # DT_RUNPATH tag from executables and libraries. But doing so # requires that you compile everything twice, which is a pain. if $LD --help 2>&1 | $GREP ': supported targets:.* elf' > /dev/null; then _LT_TAGVAR(hardcode_libdir_flag_spec, $1)='$wl-rpath $wl$libdir' _LT_TAGVAR(archive_cmds, $1)='$CC -shared $libobjs $deplibs $compiler_flags $wl-soname $wl$soname -o $lib' _LT_TAGVAR(archive_expsym_cmds, $1)='$CC -shared $libobjs $deplibs $compiler_flags $wl-soname $wl$soname $wl-retain-symbols-file $wl$export_symbols -o $lib' else _LT_TAGVAR(ld_shlibs, $1)=no fi ;; esac ;; sunos4*) _LT_TAGVAR(archive_cmds, $1)='$LD -assert pure-text -Bshareable -o $lib $libobjs $deplibs $linker_flags' wlarc= _LT_TAGVAR(hardcode_direct, $1)=yes _LT_TAGVAR(hardcode_shlibpath_var, $1)=no ;; *) if $LD --help 2>&1 | $GREP ': supported targets:.* elf' > /dev/null; then _LT_TAGVAR(archive_cmds, $1)='$CC -shared $pic_flag $libobjs $deplibs $compiler_flags $wl-soname $wl$soname -o $lib' _LT_TAGVAR(archive_expsym_cmds, $1)='$CC -shared $pic_flag $libobjs $deplibs $compiler_flags $wl-soname $wl$soname $wl-retain-symbols-file $wl$export_symbols -o $lib' else _LT_TAGVAR(ld_shlibs, $1)=no fi ;; esac if test no = "$_LT_TAGVAR(ld_shlibs, $1)"; then runpath_var= _LT_TAGVAR(hardcode_libdir_flag_spec, $1)= _LT_TAGVAR(export_dynamic_flag_spec, $1)= _LT_TAGVAR(whole_archive_flag_spec, $1)= fi else # PORTME fill in a description of your system's linker (not GNU ld) case $host_os in aix3*) _LT_TAGVAR(allow_undefined_flag, $1)=unsupported _LT_TAGVAR(always_export_symbols, $1)=yes _LT_TAGVAR(archive_expsym_cmds, $1)='$LD -o $output_objdir/$soname $libobjs $deplibs $linker_flags -bE:$export_symbols -T512 -H512 -bM:SRE~$AR $AR_FLAGS $lib $output_objdir/$soname' # Note: this linker hardcodes the directories in LIBPATH if there # are no directories specified by -L. _LT_TAGVAR(hardcode_minus_L, $1)=yes if test yes = "$GCC" && test -z "$lt_prog_compiler_static"; then # Neither direct hardcoding nor static linking is supported with a # broken collect2. _LT_TAGVAR(hardcode_direct, $1)=unsupported fi ;; aix[[4-9]]*) if test ia64 = "$host_cpu"; then # On IA64, the linker does run time linking by default, so we don't # have to do anything special. aix_use_runtimelinking=no exp_sym_flag='-Bexport' no_entry_flag= else # If we're using GNU nm, then we don't want the "-C" option. # -C means demangle to GNU nm, but means don't demangle to AIX nm. # Without the "-l" option, or with the "-B" option, AIX nm treats # weak defined symbols like other global defined symbols, whereas # GNU nm marks them as "W". # While the 'weak' keyword is ignored in the Export File, we need # it in the Import File for the 'aix-soname' feature, so we have # to replace the "-B" option with "-P" for AIX nm. if $NM -V 2>&1 | $GREP 'GNU' > /dev/null; then _LT_TAGVAR(export_symbols_cmds, $1)='$NM -Bpg $libobjs $convenience | awk '\''{ if (((\$ 2 == "T") || (\$ 2 == "D") || (\$ 2 == "B") || (\$ 2 == "W")) && ([substr](\$ 3,1,1) != ".")) { if (\$ 2 == "W") { print \$ 3 " weak" } else { print \$ 3 } } }'\'' | sort -u > $export_symbols' else _LT_TAGVAR(export_symbols_cmds, $1)='`func_echo_all $NM | $SED -e '\''s/B\([[^B]]*\)$/P\1/'\''` -PCpgl $libobjs $convenience | awk '\''{ if (((\$ 2 == "T") || (\$ 2 == "D") || (\$ 2 == "B") || (\$ 2 == "W") || (\$ 2 == "V") || (\$ 2 == "Z")) && ([substr](\$ 1,1,1) != ".")) { if ((\$ 2 == "W") || (\$ 2 == "V") || (\$ 2 == "Z")) { print \$ 1 " weak" } else { print \$ 1 } } }'\'' | sort -u > $export_symbols' fi aix_use_runtimelinking=no # Test if we are trying to use run time linking or normal # AIX style linking. If -brtl is somewhere in LDFLAGS, we # have runtime linking enabled, and use it for executables. # For shared libraries, we enable/disable runtime linking # depending on the kind of the shared library created - # when "with_aix_soname,aix_use_runtimelinking" is: # "aix,no" lib.a(lib.so.V) shared, rtl:no, for executables # "aix,yes" lib.so shared, rtl:yes, for executables # lib.a static archive # "both,no" lib.so.V(shr.o) shared, rtl:yes # lib.a(lib.so.V) shared, rtl:no, for executables # "both,yes" lib.so.V(shr.o) shared, rtl:yes, for executables # lib.a(lib.so.V) shared, rtl:no # "svr4,*" lib.so.V(shr.o) shared, rtl:yes, for executables # lib.a static archive case $host_os in aix4.[[23]]|aix4.[[23]].*|aix[[5-9]]*) for ld_flag in $LDFLAGS; do if (test x-brtl = "x$ld_flag" || test x-Wl,-brtl = "x$ld_flag"); then aix_use_runtimelinking=yes break fi done if test svr4,no = "$with_aix_soname,$aix_use_runtimelinking"; then # With aix-soname=svr4, we create the lib.so.V shared archives only, # so we don't have lib.a shared libs to link our executables. # We have to force runtime linking in this case. aix_use_runtimelinking=yes LDFLAGS="$LDFLAGS -Wl,-brtl" fi ;; esac exp_sym_flag='-bexport' no_entry_flag='-bnoentry' fi # When large executables or shared objects are built, AIX ld can # have problems creating the table of contents. If linking a library # or program results in "error TOC overflow" add -mminimal-toc to # CXXFLAGS/CFLAGS for g++/gcc. In the cases where that is not # enough to fix the problem, add -Wl,-bbigtoc to LDFLAGS. _LT_TAGVAR(archive_cmds, $1)='' _LT_TAGVAR(hardcode_direct, $1)=yes _LT_TAGVAR(hardcode_direct_absolute, $1)=yes _LT_TAGVAR(hardcode_libdir_separator, $1)=':' _LT_TAGVAR(link_all_deplibs, $1)=yes _LT_TAGVAR(file_list_spec, $1)='$wl-f,' case $with_aix_soname,$aix_use_runtimelinking in aix,*) ;; # traditional, no import file svr4,* | *,yes) # use import file # The Import File defines what to hardcode. _LT_TAGVAR(hardcode_direct, $1)=no _LT_TAGVAR(hardcode_direct_absolute, $1)=no ;; esac if test yes = "$GCC"; then case $host_os in aix4.[[012]]|aix4.[[012]].*) # We only want to do this on AIX 4.2 and lower, the check # below for broken collect2 doesn't work under 4.3+ collect2name=`$CC -print-prog-name=collect2` if test -f "$collect2name" && strings "$collect2name" | $GREP resolve_lib_name >/dev/null then # We have reworked collect2 : else # We have old collect2 _LT_TAGVAR(hardcode_direct, $1)=unsupported # It fails to find uninstalled libraries when the uninstalled # path is not listed in the libpath. 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The following line is correct: shared_flag='-G' else if test yes = "$aix_use_runtimelinking"; then shared_flag='$wl-G' else shared_flag='$wl-bM:SRE' fi shared_flag_aix='$wl-bM:SRE' shared_flag_svr4='$wl-G' fi fi _LT_TAGVAR(export_dynamic_flag_spec, $1)='$wl-bexpall' # It seems that -bexpall does not export symbols beginning with # underscore (_), so it is better to generate a list of symbols to export. _LT_TAGVAR(always_export_symbols, $1)=yes if test aix,yes = "$with_aix_soname,$aix_use_runtimelinking"; then # Warning - without using the other runtime loading flags (-brtl), # -berok will link without error, but may produce a broken library. _LT_TAGVAR(allow_undefined_flag, $1)='-berok' # Determine the default libpath from the value encoded in an # empty executable. _LT_SYS_MODULE_PATH_AIX([$1]) _LT_TAGVAR(hardcode_libdir_flag_spec, $1)='$wl-blibpath:$libdir:'"$aix_libpath" _LT_TAGVAR(archive_expsym_cmds, $1)='$CC -o $output_objdir/$soname $libobjs $deplibs $wl'$no_entry_flag' $compiler_flags `if test -n "$allow_undefined_flag"; then func_echo_all "$wl$allow_undefined_flag"; else :; fi` $wl'$exp_sym_flag:\$export_symbols' '$shared_flag else if test ia64 = "$host_cpu"; then _LT_TAGVAR(hardcode_libdir_flag_spec, $1)='$wl-R $libdir:/usr/lib:/lib' _LT_TAGVAR(allow_undefined_flag, $1)="-z nodefs" _LT_TAGVAR(archive_expsym_cmds, $1)="\$CC $shared_flag"' -o $output_objdir/$soname $libobjs $deplibs '"\$wl$no_entry_flag"' $compiler_flags $wl$allow_undefined_flag '"\$wl$exp_sym_flag:\$export_symbols" else # Determine the default libpath from the value encoded in an # empty executable. _LT_SYS_MODULE_PATH_AIX([$1]) _LT_TAGVAR(hardcode_libdir_flag_spec, $1)='$wl-blibpath:$libdir:'"$aix_libpath" # Warning - without using the other run time loading flags, # -berok will link without error, but may produce a broken library. _LT_TAGVAR(no_undefined_flag, $1)=' $wl-bernotok' _LT_TAGVAR(allow_undefined_flag, $1)=' $wl-berok' if test yes = "$with_gnu_ld"; then # We only use this code for GNU lds that support --whole-archive. _LT_TAGVAR(whole_archive_flag_spec, $1)='$wl--whole-archive$convenience $wl--no-whole-archive' else # Exported symbols can be pulled into shared objects from archives _LT_TAGVAR(whole_archive_flag_spec, $1)='$convenience' fi _LT_TAGVAR(archive_cmds_need_lc, $1)=yes _LT_TAGVAR(archive_expsym_cmds, $1)='$RM -r $output_objdir/$realname.d~$MKDIR $output_objdir/$realname.d' # -brtl affects multiple linker settings, -berok does not and is overridden later compiler_flags_filtered='`func_echo_all "$compiler_flags " | $SED -e "s%-brtl\\([[, ]]\\)%-berok\\1%g"`' if test svr4 != "$with_aix_soname"; then # This is similar to how AIX traditionally builds its shared libraries. _LT_TAGVAR(archive_expsym_cmds, $1)="$_LT_TAGVAR(archive_expsym_cmds, $1)"'~$CC '$shared_flag_aix' -o $output_objdir/$realname.d/$soname $libobjs $deplibs $wl-bnoentry '$compiler_flags_filtered'$wl-bE:$export_symbols$allow_undefined_flag~$AR $AR_FLAGS $output_objdir/$libname$release.a $output_objdir/$realname.d/$soname' fi if test aix != "$with_aix_soname"; then _LT_TAGVAR(archive_expsym_cmds, $1)="$_LT_TAGVAR(archive_expsym_cmds, $1)"'~$CC '$shared_flag_svr4' -o $output_objdir/$realname.d/$shared_archive_member_spec.o $libobjs $deplibs $wl-bnoentry '$compiler_flags_filtered'$wl-bE:$export_symbols$allow_undefined_flag~$STRIP -e $output_objdir/$realname.d/$shared_archive_member_spec.o~( func_echo_all "#! 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solaris*) _LT_TAGVAR(no_undefined_flag, $1)=' -z defs' if test yes = "$GCC"; then wlarc='$wl' _LT_TAGVAR(archive_cmds, $1)='$CC -shared $pic_flag $wl-z ${wl}text $wl-h $wl$soname -o $lib $libobjs $deplibs $compiler_flags' _LT_TAGVAR(archive_expsym_cmds, $1)='echo "{ global:" > $lib.exp~cat $export_symbols | $SED -e "s/\(.*\)/\1;/" >> $lib.exp~echo "local: *; };" >> $lib.exp~ $CC -shared $pic_flag $wl-z ${wl}text $wl-M $wl$lib.exp $wl-h $wl$soname -o $lib $libobjs $deplibs $compiler_flags~$RM $lib.exp' else case `$CC -V 2>&1` in *"Compilers 5.0"*) wlarc='' _LT_TAGVAR(archive_cmds, $1)='$LD -G$allow_undefined_flag -h $soname -o $lib $libobjs $deplibs $linker_flags' _LT_TAGVAR(archive_expsym_cmds, $1)='echo "{ global:" > $lib.exp~cat $export_symbols | $SED -e "s/\(.*\)/\1;/" >> $lib.exp~echo "local: *; };" >> $lib.exp~ $LD -G$allow_undefined_flag -M $lib.exp -h $soname -o $lib $libobjs $deplibs $linker_flags~$RM $lib.exp' ;; *) wlarc='$wl' _LT_TAGVAR(archive_cmds, $1)='$CC -G$allow_undefined_flag -h $soname -o $lib $libobjs $deplibs $compiler_flags' _LT_TAGVAR(archive_expsym_cmds, $1)='echo "{ global:" > $lib.exp~cat $export_symbols | $SED -e "s/\(.*\)/\1;/" >> $lib.exp~echo "local: *; };" >> $lib.exp~ $CC -G$allow_undefined_flag -M $lib.exp -h $soname -o $lib $libobjs $deplibs $compiler_flags~$RM $lib.exp' ;; esac fi _LT_TAGVAR(hardcode_libdir_flag_spec, $1)='-R$libdir' _LT_TAGVAR(hardcode_shlibpath_var, $1)=no case $host_os in solaris2.[[0-5]] | solaris2.[[0-5]].*) ;; *) # The compiler driver will combine and reorder linker options, # but understands '-z linker_flag'. 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(KAI) C++ Compiler # KCC will only create a shared library if the output file # ends with ".so" (or ".sl" for HP-UX), so rename the library # to its proper name (with version) after linking. _LT_TAGVAR(archive_cmds, $1)='tempext=`echo $shared_ext | $SED -e '\''s/\([[^()0-9A-Za-z{}]]\)/\\\\\1/g'\''`; templib=`echo $lib | $SED -e "s/\$tempext\..*/.so/"`; $CC $predep_objects $libobjs $deplibs $postdep_objects $compiler_flags --soname $soname -o \$templib; mv \$templib $lib' _LT_TAGVAR(archive_expsym_cmds, $1)='tempext=`echo $shared_ext | $SED -e '\''s/\([[^()0-9A-Za-z{}]]\)/\\\\\1/g'\''`; templib=`echo $lib | $SED -e "s/\$tempext\..*/.so/"`; $CC $predep_objects $libobjs $deplibs $postdep_objects $compiler_flags --soname $soname -o \$templib $wl-retain-symbols-file,$export_symbols; mv \$templib $lib' # Commands to make compiler produce verbose output that lists # what "hidden" libraries, object files and flags are used when # linking a shared library. # # There doesn't appear to be a way to prevent this compiler from # explicitly linking system object files so we need to strip them # from the output so that they don't get included in the library # dependencies. output_verbose_link_cmd='templist=`$CC $CFLAGS -v conftest.$objext -o libconftest$shared_ext 2>&1 | $GREP "ld"`; rm -f libconftest$shared_ext; list= ; for z in $templist; do case $z in conftest.$objext) list="$list $z";; *.$objext);; *) list="$list $z";;esac; done; func_echo_all "$list"' _LT_TAGVAR(hardcode_libdir_flag_spec, $1)='$wl-rpath,$libdir' _LT_TAGVAR(export_dynamic_flag_spec, $1)='$wl--export-dynamic' # Archives containing C++ object files must be created using # "CC -Bstatic", where "CC" is the KAI C++ compiler. _LT_TAGVAR(old_archive_cmds, $1)='$CC -Bstatic -o $oldlib $oldobjs' ;; icpc* | ecpc* ) # Intel C++ with_gnu_ld=yes # version 8.0 and above of icpc choke on multiply defined symbols # if we add $predep_objects and $postdep_objects, however 7.1 and # earlier do not add the objects themselves. case `$CC -V 2>&1` in *"Version 7."*) _LT_TAGVAR(archive_cmds, $1)='$CC -shared $predep_objects $libobjs $deplibs $postdep_objects $compiler_flags $wl-soname $wl$soname -o $lib' _LT_TAGVAR(archive_expsym_cmds, $1)='$CC -shared $predep_objects $libobjs $deplibs $postdep_objects $compiler_flags $wl-soname $wl$soname $wl-retain-symbols-file $wl$export_symbols -o $lib' ;; *) # Version 8.0 or newer tmp_idyn= case $host_cpu in ia64*) tmp_idyn=' -i_dynamic';; esac _LT_TAGVAR(archive_cmds, $1)='$CC -shared'"$tmp_idyn"' $libobjs $deplibs $compiler_flags $wl-soname $wl$soname -o $lib' _LT_TAGVAR(archive_expsym_cmds, $1)='$CC -shared'"$tmp_idyn"' $libobjs $deplibs $compiler_flags $wl-soname $wl$soname $wl-retain-symbols-file $wl$export_symbols -o $lib' ;; esac _LT_TAGVAR(archive_cmds_need_lc, $1)=no _LT_TAGVAR(hardcode_libdir_flag_spec, $1)='$wl-rpath,$libdir' _LT_TAGVAR(export_dynamic_flag_spec, $1)='$wl--export-dynamic' _LT_TAGVAR(whole_archive_flag_spec, $1)='$wl--whole-archive$convenience $wl--no-whole-archive' ;; pgCC* | pgcpp*) # Portland Group C++ compiler case `$CC -V` in *pgCC\ [[1-5]].* | *pgcpp\ [[1-5]].*) _LT_TAGVAR(prelink_cmds, $1)='tpldir=Template.dir~ rm -rf $tpldir~ $CC --prelink_objects --instantiation_dir $tpldir $objs $libobjs $compile_deplibs~ compile_command="$compile_command `find $tpldir -name \*.o | sort | $NL2SP`"' _LT_TAGVAR(old_archive_cmds, $1)='tpldir=Template.dir~ rm -rf $tpldir~ $CC --prelink_objects --instantiation_dir $tpldir $oldobjs$old_deplibs~ $AR $AR_FLAGS $oldlib$oldobjs$old_deplibs `find $tpldir -name \*.o | sort | $NL2SP`~ $RANLIB $oldlib' _LT_TAGVAR(archive_cmds, $1)='tpldir=Template.dir~ rm -rf $tpldir~ $CC --prelink_objects --instantiation_dir $tpldir $predep_objects $libobjs $deplibs $convenience $postdep_objects~ $CC -shared $pic_flag $predep_objects $libobjs $deplibs `find $tpldir -name \*.o | sort | $NL2SP` $postdep_objects $compiler_flags $wl-soname $wl$soname -o $lib' _LT_TAGVAR(archive_expsym_cmds, $1)='tpldir=Template.dir~ rm -rf $tpldir~ $CC --prelink_objects --instantiation_dir $tpldir $predep_objects $libobjs $deplibs $convenience $postdep_objects~ $CC -shared $pic_flag $predep_objects $libobjs $deplibs `find $tpldir -name \*.o | sort | $NL2SP` $postdep_objects $compiler_flags $wl-soname $wl$soname $wl-retain-symbols-file $wl$export_symbols -o $lib' ;; *) # Version 6 and above use weak symbols _LT_TAGVAR(archive_cmds, $1)='$CC -shared $pic_flag $predep_objects $libobjs $deplibs $postdep_objects $compiler_flags $wl-soname $wl$soname -o $lib' _LT_TAGVAR(archive_expsym_cmds, $1)='$CC -shared $pic_flag $predep_objects $libobjs $deplibs $postdep_objects $compiler_flags $wl-soname $wl$soname $wl-retain-symbols-file $wl$export_symbols -o $lib' ;; esac _LT_TAGVAR(hardcode_libdir_flag_spec, $1)='$wl--rpath $wl$libdir' _LT_TAGVAR(export_dynamic_flag_spec, $1)='$wl--export-dynamic' _LT_TAGVAR(whole_archive_flag_spec, $1)='$wl--whole-archive`for conv in $convenience\"\"; do test -n \"$conv\" && new_convenience=\"$new_convenience,$conv\"; done; func_echo_all \"$new_convenience\"` $wl--no-whole-archive' ;; cxx*) # Compaq C++ _LT_TAGVAR(archive_cmds, $1)='$CC -shared $predep_objects $libobjs $deplibs $postdep_objects $compiler_flags $wl-soname $wl$soname -o $lib' _LT_TAGVAR(archive_expsym_cmds, $1)='$CC -shared $predep_objects $libobjs $deplibs $postdep_objects $compiler_flags $wl-soname $wl$soname -o $lib $wl-retain-symbols-file $wl$export_symbols' runpath_var=LD_RUN_PATH _LT_TAGVAR(hardcode_libdir_flag_spec, $1)='-rpath $libdir' _LT_TAGVAR(hardcode_libdir_separator, $1)=: # Commands to make compiler produce verbose output that lists # what "hidden" libraries, object files and flags are used when # linking a shared library. # # There doesn't appear to be a way to prevent this compiler from # explicitly linking system object files so we need to strip them # from the output so that they don't get included in the library # dependencies. output_verbose_link_cmd='templist=`$CC -shared $CFLAGS -v conftest.$objext 2>&1 | $GREP "ld"`; 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Vaughan, 2004 # # 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. # serial 6 ltsugar.m4 # This is to help aclocal find these macros, as it can't see m4_define. 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0ustar gap-jenkinsgap-jenkins/* manual.js Frank Lübeck */ /* This file contains a few javascript functions which allow to switch between display styles for GAPDoc HTML manuals. 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Or one can append '?GAPDocStyle=mystyle' to the URL when loading any file of the manual (so the style can be configured in the GAP user preferences). */ /* generic helper function */ function deleteCookie(nam) { document.cookie = nam+"=;Path=/;expires=Thu, 01 Jan 1970 00:00:00 GMT"; } /* read a value from a "nam1=val1;nam2=val2;..." string (e.g., the search part of an URL or a cookie */ function valueString(str,nam) { var cs = str.split(";"); for (var i=0; i < cs.length; i++) { var pos = cs[i].search(nam+"="); if (pos > -1) { pos = cs[i].indexOf("="); return cs[i].slice(pos+1); } } return 0; } /* when a non-default style is chosen via URL or a cookie, then the cookie is reset and the styles .js and .css files are read */ function overwriteStyle() { /* style in URL? */ var style = valueString(window.location.search, "GAPDocStyle"); /* otherwise check cookie */ if (style == 0) style = valueString(document.cookie, "GAPDocStyle"); if (style == 0) return; if (style == "default") deleteCookie("GAPDocStyle"); else { /* ok, we set the cookie for path "/" */ var path = "/"; /* or better like this ??? var here = window.location.pathname.split("/"); for (var i=0; i+3 < here.length; i++) path = path+"/"+here[i]; */ document.cookie = "GAPDocStyle="+style+";Path="+path; /* split into names of style files */ var stlist = style.split(","); /* read style's css and js files */ for (var i=0; i < stlist.length; i++) { document.writeln(''); document.writeln(''); } } } /* this adds a "[Style]" link next to the MathJax switcher */ function addStyleLink() { var line = document.getElementById("mathjaxlink"); var el = document.createElement("a"); var oncl = document.createAttribute("href"); var back = window.location.protocol+"//" if (window.location.protocol == "http:") { back = back+window.location.host; if (window.location.port != "") { back = back+":"+window.location.port; } } back = back+window.location.pathname; oncl.nodeValue = "chooser.html?BACK="+back; el.setAttributeNode(oncl); var cont = document.createTextNode(" [Style]"); el.appendChild(cont); line.appendChild(el); } var jscontentfuncs = new Array(); jscontentfuncs.push(addStyleLink); /* the default jscontent() only adds the [Style] link to the page */ function jscontent () { for (var i=0; i < jscontentfuncs.length; i++) jscontentfuncs[i](); } nq-2.5.4/doc/rainbow.js0000664000371700037170000000533613441553627016137 0ustar gap-jenkinsgap-jenkins function randchar(str) { var i = Math.floor(Math.random() * str.length); while (i == str.length) i = Math.floor(Math.random() * str.length); return str[i]; } hexdigits = "0123456789abcdef"; function randlight() { return randchar("cdef")+randchar(hexdigits)+ randchar("cdef")+randchar(hexdigits)+ randchar("cdef")+randchar(hexdigits) } function randdark() { return randchar("012345789")+randchar(hexdigits)+ randchar("012345789")+randchar(hexdigits)+ randchar("102345789")+randchar(hexdigits) } document.write('\n'); nq-2.5.4/doc/manual.pdf0000664000371700037170000103015013441553627016101 0ustar gap-jenkinsgap-jenkins%PDF-1.5 % 128 0 obj << /Length 379 /Filter /FlateDecode >> stream xuN0E /E{Y$B) %)i*d\Vy\K)fڃCEZ &a#'qoCu1t%`a5hU@'R'c( 'lKĶx`t^"G˗ c(Yފdxٽnúm]oځUe~[Mqeu,z/%!l>Nau/ix8\QҲq;]8_pps}7lTh5I4-M_K&yЦu /%xE$ EOINct远C JDbт!bdmJ% qĄd.|׷=f/ endstream endobj 137 0 obj << /Length 459 /Filter /FlateDecode >> stream xڵo +zKCCӁԇrt^l6 : $~A 0ح׫\`P!Ya%TJ$I |c,9#eRb(f( F *-,@' Y\R 1@P<g2M0H,> YHp9v ξTأ$3{mQ_^9FRcT1Cx8N׶1t`Drhۦq^2m^l}{hSC"`k??UL' }Mx}=hi59ُk&ܰ )eg c1;%@_8IӮSv9UlQTĝ$˗\ c-6dzQi\>Lu/}Gr /Xt~V~̟ endstream endobj 144 0 obj << /Length 1346 /Filter /FlateDecode >> stream xڍVms6_Ka&`oGMzdlǍ/LTDr+\wEZ= ߪ,ߺysqN|+MiUe$$ 6:m>\ |/34%)l`L (!؍Kr[%1A Iox$Iāط,#.8+fcw<9$^}bsfx`<0DT[f%zu6X*Ba.:\UPg p:.oXQuJE$'cX9+H!o8*^.ޫXev2݈^ q fJKghQS7l5>Z98j(ǫ J6|^iPsӅ ]I}'C^ʡz=~5ߋaM>1ʼig 7]O0_"``` vSeP\Rh n7Rv7+*]5p_FXY- Һk&$7ib[I2x+Uުn)FѣNWj*I͖Cf)S+ArQPnAY:G!Ppe%"^ؕ`FYz55P5%XJql{*i*vEPҁU@gB_7̖{!󩵘c5; $4(r)J43'AMTqUT,کl >y>.lQtS4aQS0ږF7 SUAua>hV  KbP zqhr34NcR]_-k ;Av c惠y['a 'v]MeL*x;~tfr8KZ*Qf͠*h <e Zkjsud9 9SN[Ө$o?%%> stream xOs8_G7xɶw/-&\WX@biӮC 2O>$`gBcle1ߣZ>=LknsGJMPhZŽŝ~|Iy$Axl hԀRZh OF])s ?߀C,Z nLmI tO8cE 3O_L*d#(ʝ\dgmq><(Jh 0: E2gJ_Q*{"hx0 U 0dֽ=uv.|܏0ZGn!|E,ꎚP2,Xlu2ɓ_k͛3ݤk~8<<*-26!IH~MF&uymu v$hDDE@@MIPUC*k%f{i3b.{Ci%x!F[Ղ鮛$k4E&p$=+ǬF;nzMl/^b#^ng@q%< YlC@h+Zp5 n uV5!9BF313Jdbg$8Zk Ӗ׸|9W`~pb'$fƂ56*ug@TrVK.Wb( I_QS_iת;Ugr0DG7uǞ 5ė*:7FS4;8n +mT? >s|v?wh/kP7||Ѯ.=vXO]K_^n AZ.f,޹} endstream endobj 2 0 obj << /Type /ObjStm /N 100 /First 806 /Length 2064 /Filter /FlateDecode >> stream xڵY]oF}ׯI=ÅQi6bw?X&L*E=թ?l,6F93wPY҂KyKRPIOt'%@J'eD)R`>(GZ [ԅ7d!m2X(HFN" +X 4F_AΣ_*Vh^c4a ʓl1q8,4&aZZpOGA2LBk` ]R h LB{Xm{"0`5XXఄ9i< i%n $oK2.vJ3| :'I1nQbce#f-QR!JH3E A<+7-Gb߹26+]^ ,Jx[]CM)9#͎˓jqO"BX?m:ٻ \VMW5 媪"fsyalNu6rͼͦwJ\\9@e9b683;}mlzb2XcFv n(n268qr..>F܎v&Neb3ww>/?GG*RW?$+m? 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