pax_global_header00006660000000000000000000000064120677025110014513gustar00rootroot0000000000000052 comment=1f762dcdeeb863012e7c5d5f4086edc379230bfe cddlib-094g/000077500000000000000000000000001206770251100127615ustar00rootroot00000000000000cddlib-094g/.DS_Store000066400000000000000000000140041206770251100144430ustar00rootroot00000000000000Bud1i0blobZdevfwi0blobZ[)icnvdevfwswlong¬devfwvhshor©srcfwi0blobicnvsrcfwswlongÍ  @€ @€ @€ @ EDSDB `€ @€ @€ @cddlib-094g/.DS_Store.1000077500000000000000000000140041206770251100146050ustar00rootroot00000000000000Bud1i0blobdevfwi0blobicnvdevfwswlong†docfwi0blobicnvdocfwswlongÃsrcfwi0blobicnvsrcfwswlong€  @€ @€ @€ @ EDSDB `€ @€ @€ @cddlib-094g/AUTHORS000066400000000000000000000007521206770251100140350ustar00rootroot00000000000000Current Address: Komei Fukuda Department of Mathematics, and Institute of Theoretical Computer Science ETH Zurich (CAB G 33.3) Universitaetsstrasse 6 CH-8092 Zurich, Switzerland Tel +41-44-632-4023, Fax +41-44-632-1063 http://www.ifor.math.ethz.ch/~fukuda/ Previous Addrss: Komei Fukuda School of Computer Science McGill University McConnel Engineering Building 3480 University Street Montreal, Quebec Canada H3A 2A7 email: fukuda@cs.mcgill.ca fax: +1-514-398-3883 cddlib-094g/COPYING000066400000000000000000000430761206770251100140260ustar00rootroot00000000000000 GNU GENERAL PUBLIC LICENSE Version 2, June 1991 Copyright (C) 1989, 1991 Free Software Foundation, Inc. 675 Mass Ave, Cambridge, MA 02139, USA Everyone is permitted to copy and distribute verbatim copies of this license document, but changing it is not allowed. Preamble The licenses for most software are designed to take away your freedom to share and change it. By contrast, the GNU General Public License is intended to guarantee your freedom to share and change free software--to make sure the software is free for all its users. This General Public License applies to most of the Free Software Foundation's software and to any other program whose authors commit to using it. (Some other Free Software Foundation software is covered by the GNU Library General Public License instead.) You can apply it to your programs, too. When we speak of free software, we are referring to freedom, not price. Our General Public Licenses are designed to make sure that you have the freedom to distribute copies of free software (and charge for this service if you wish), that you receive source code or can get it if you want it, that you can change the software or use pieces of it in new free programs; and that you know you can do these things. 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If the software is modified by someone else and passed on, we want its recipients to know that what they have is not the original, so that any problems introduced by others will not reflect on the original authors' reputations. Finally, any free program is threatened constantly by software patents. We wish to avoid the danger that redistributors of a free program will individually obtain patent licenses, in effect making the program proprietary. To prevent this, we have made it clear that any patent must be licensed for everyone's free use or not licensed at all. The precise terms and conditions for copying, distribution and modification follow. GNU GENERAL PUBLIC LICENSE TERMS AND CONDITIONS FOR COPYING, DISTRIBUTION AND MODIFICATION 0. This License applies to any program or other work which contains a notice placed by the copyright holder saying it may be distributed under the terms of this General Public License. The "Program", below, refers to any such program or work, and a "work based on the Program" means either the Program or any derivative work under copyright law: that is to say, a work containing the Program or a portion of it, either verbatim or with modifications and/or translated into another language. (Hereinafter, translation is included without limitation in the term "modification".) Each licensee is addressed as "you". Activities other than copying, distribution and modification are not covered by this License; they are outside its scope. The act of running the Program is not restricted, and the output from the Program is covered only if its contents constitute a work based on the Program (independent of having been made by running the Program). Whether that is true depends on what the Program does. 1. You may copy and distribute verbatim copies of the Program's source code as you receive it, in any medium, provided that you conspicuously and appropriately publish on each copy an appropriate copyright notice and disclaimer of warranty; keep intact all the notices that refer to this License and to the absence of any warranty; and give any other recipients of the Program a copy of this License along with the Program. You may charge a fee for the physical act of transferring a copy, and you may at your option offer warranty protection in exchange for a fee. 2. You may modify your copy or copies of the Program or any portion of it, thus forming a work based on the Program, and copy and distribute such modifications or work under the terms of Section 1 above, provided that you also meet all of these conditions: a) You must cause the modified files to carry prominent notices stating that you changed the files and the date of any change. b) You must cause any work that you distribute or publish, that in whole or in part contains or is derived from the Program or any part thereof, to be licensed as a whole at no charge to all third parties under the terms of this License. c) If the modified program normally reads commands interactively when run, you must cause it, when started running for such interactive use in the most ordinary way, to print or display an announcement including an appropriate copyright notice and a notice that there is no warranty (or else, saying that you provide a warranty) and that users may redistribute the program under these conditions, and telling the user how to view a copy of this License. (Exception: if the Program itself is interactive but does not normally print such an announcement, your work based on the Program is not required to print an announcement.) These requirements apply to the modified work as a whole. If identifiable sections of that work are not derived from the Program, and can be reasonably considered independent and separate works in themselves, then this License, and its terms, do not apply to those sections when you distribute them as separate works. But when you distribute the same sections as part of a whole which is a work based on the Program, the distribution of the whole must be on the terms of this License, whose permissions for other licensees extend to the entire whole, and thus to each and every part regardless of who wrote it. 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If the distribution and/or use of the Program is restricted in certain countries either by patents or by copyrighted interfaces, the original copyright holder who places the Program under this License may add an explicit geographical distribution limitation excluding those countries, so that distribution is permitted only in or among countries not thus excluded. In such case, this License incorporates the limitation as if written in the body of this License. 9. The Free Software Foundation may publish revised and/or new versions of the General Public License from time to time. Such new versions will be similar in spirit to the present version, but may differ in detail to address new problems or concerns. Each version is given a distinguishing version number. If the Program specifies a version number of this License which applies to it and "any later version", you have the option of following the terms and conditions either of that version or of any later version published by the Free Software Foundation. If the Program does not specify a version number of this License, you may choose any version ever published by the Free Software Foundation. 10. If you wish to incorporate parts of the Program into other free programs whose distribution conditions are different, write to the author to ask for permission. For software which is copyrighted by the Free Software Foundation, write to the Free Software Foundation; we sometimes make exceptions for this. Our decision will be guided by the two goals of preserving the free status of all derivatives of our free software and of promoting the sharing and reuse of software generally. NO WARRANTY 11. BECAUSE THE PROGRAM IS LICENSED FREE OF CHARGE, THERE IS NO WARRANTY FOR THE PROGRAM, TO THE EXTENT PERMITTED BY APPLICABLE LAW. EXCEPT WHEN OTHERWISE STATED IN WRITING THE COPYRIGHT HOLDERS AND/OR OTHER PARTIES PROVIDE THE PROGRAM "AS IS" WITHOUT WARRANTY OF ANY KIND, EITHER EXPRESSED OR IMPLIED, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE. THE ENTIRE RISK AS TO THE QUALITY AND PERFORMANCE OF THE PROGRAM IS WITH YOU. SHOULD THE PROGRAM PROVE DEFECTIVE, YOU ASSUME THE COST OF ALL NECESSARY SERVICING, REPAIR OR CORRECTION. 12. IN NO EVENT UNLESS REQUIRED BY APPLICABLE LAW OR AGREED TO IN WRITING WILL ANY COPYRIGHT HOLDER, OR ANY OTHER PARTY WHO MAY MODIFY AND/OR REDISTRIBUTE THE PROGRAM AS PERMITTED ABOVE, BE LIABLE TO YOU FOR DAMAGES, INCLUDING ANY GENERAL, SPECIAL, INCIDENTAL OR CONSEQUENTIAL DAMAGES ARISING OUT OF THE USE OR INABILITY TO USE THE PROGRAM (INCLUDING BUT NOT LIMITED TO LOSS OF DATA OR DATA BEING RENDERED INACCURATE OR LOSSES SUSTAINED BY YOU OR THIRD PARTIES OR A FAILURE OF THE PROGRAM TO OPERATE WITH ANY OTHER PROGRAMS), EVEN IF SUCH HOLDER OR OTHER PARTY HAS BEEN ADVISED OF THE POSSIBILITY OF SUCH DAMAGES. END OF TERMS AND CONDITIONS Appendix: How to Apply These Terms to Your New Programs If you develop a new program, and you want it to be of the greatest possible use to the public, the best way to achieve this is to make it free software which everyone can redistribute and change under these terms. To do so, attach the following notices to the program. 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) 19yy 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., 675 Mass Ave, Cambridge, MA 02139, 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) 19yy 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. cddlib-094g/ChangeLog000066400000000000000000000631471206770251100145460ustar00rootroot00000000000000libcdd, cdd & cdd+ HISTORY file (as of March 23, 2012) *** libcdd version (date) / changes *** Version 094g (March 23, 2012) / - Thanks to both Anders Jensen and Mathieu Dutour a few memory leaks in cddlib.c and cddlp.c have been fixed. Also, some patches sent by Jerry James have been applied. These were for making the library shared and more compatible for C++ compilers. Version 094f (February 7, 2008) / - Thanks to Sven Verdoolaege's fixes, the "configure" script now uses "gcc" as the default compiler, rather than "g++" in earlier releases, and the libraries can be linked properly with both C and C++ programs. Version 094e (January 27, 2008) / - A bug of reporting a wrong (sign) certificate of an infeasible LP is fixed. This bug reported by Charles Geyer, occurs if the exact GMP version of the dd_LPSolve is used with minimization. A bug of reporting infeasibility of a feasible LP with column non-full rank LP is fixed. This bug was reported by Sven Verdoolaege. Version 094d (February 12, 2007) / - A bug of reporting a wrong unbounded direction vector of a dual inconsistent LP is fixed. This bug occurs only if the exact GMP version of the dd_LPSolve is used. For example, this error may occur in scdd_gmp. This error was reported by Lars Schewe. Version 094c (April 23, 2006) / - A bug for reading a rational number of length longer than 255 characters have been fixed. This was reported by Ruriko Yoshida. Now the longest number is controlled by dd_wordlenmax defined in cddtypes.h . The longest line is also controlled by dd_linelenmax . These are currently fixed to 1024 and 4096. Larger numbers and lines can be handled by modifying these numbers and recompilation. Version 094b (August 25, 2005) / - A bug for the representation conversion, reported by Michal Kvasnica, was fixed. The earlier 094* versions prematurely terminate the conversion when the number of rows is equal to the number of columns in the input. This means the earlier 094* do not compute correctly for simplices, for example. Version 094a (August 24, 2005) / - A bug of dd_LPSolve is fixed. This bug, reported by Dima Pasechnik, due to a mishandling of cycling of LP algorithms, is fixed. Version 094 (August 4, 2005) / - dd_MatrixCanonicalize has been added. This reduces matrix M to a minimal representation by computing all implicit linearity rows and all redundant rows. It applies lexicographic sorting of rows to remove duplicates before applying redundancy removal. This function combines the two computations together in more efficient manner than before. See the new redcheck.c for its use. Several basic operations for matrices have been added, such as dd_MatrixRowsRemove and dd_MatrixRowsRemove2. The representation conversion dd_DDMatrix2Poly now handles the empty H-polyhedra properly, by calling an LP-based emptiness checker before running the double description algorithm. New functions finding specific points in H-polyhedra are added. dd_ExistsRestrictedFace is a general inequality system solver with specified equations, inequalities and strict inequalities. dd_FindRelativeInterior finds a point in the relative interior of a polyhedron. Version 093d (February 27, 2005) / - The problem of outputting the running log has been corrected. This problem and a solution was communicated by Charles Geyer. Now, a new global dd_boolean variable dd_log (= dd_FALSE by default) controls log output. An scdd/lcdd bug of terminating with segmentation fault when an input polyhedron is numerically delicate has been corrected. This bug was reported by Stefan Volkwein. Version 093c (December 26, 2003) / - A bug of Phase I of the dual simplex method in floating-point arithmetics is fixed. The problem (bus error) occurred when input data is not appropriate for floating-point arithmetics. The problem occurrs even for the GMP executables as the exact LP solver first tries to detect the terminal basis with float-point arithmetics. Version 093b (November 10, 2003) / - The nonterminating problem of the LP solver has been fixed. This was due to a cycling of the criss-cross method in floating-point arithmetics, that is extremely rare. Also, the phase I of the dual simplex method has been modified. The auxiliary LP is perhaps less likely to be degenerate. Version 093a (Augst 11, 2003) / - The LP basis finding procedure dd_FindLPBasis2 has been updated. The functions dd_Matrix2WeakAdjacency, dd_SRedundant and dd_SRedundantRows are added. The manual has been updated. Version 093 (July 18, 2003) / - dd_LPSolve with GMP now runs fisrt with floating point arithmetics and checks with GMP the correctness of the result. New functions dd_Matrix2Adjacency, dd_FourierElimination, dd_BlockElimination, dd_DDMatrix2Poly2 are added. Some minor memory leak problems are fixed. (Thanks to the excellent memory debugger valgrind on linux.) Version 092b (October 19, 2002) / - An illegal memory access for EqualityIndex reported by Thao Dang is fixed. Another bug of lcdd_gmp which takes "real" data and return a false result is fixed. It now warns that input is not correct for the exact arithmetic lcdd_gmp. This error was reported by Andras Salamon. Version 092a (December 19, 2001) / - Joerg Rambau kindly created an autoconf distribution of cddlib-092. This version 092a is made from Rambau's version with a slight modification. For the momoment, the Mathematica cdd interface, cddmathlink (in src-mathlink), still needs to be handled in the conventional manner by editing Makefile. Version 092 (December 12, 2001) / - the default value of dd_almostzero is now set to 1.0E-7 instead of 1.0E-6. New functions are added for checking redundancy of H- and V- representations such as dd_Redundant, dd_RedundantRows, dd_ImplicitLinearity, dd_ImplicitLinearityRows, and dd_RayShooting. Also some basic operations on dd_MatrixPtr have been added such as dd_MatrixAppendTo, dd_MatrixRowRemove, dd_MatrixSubmatrix. The names of enumeration type variables have been modified. Now all names have prefix "dd_", e.g. Rational, Integer are now dd_Rational and dd_Integer. This applies to TRUE and FALSE, which are now dd_TRUE and dd_FALSE. Version 091d (March 9, 2001) / - Memory leak in dd_FreeLPData and dd_FreeLPSolution are fixed. Version 091c (February 27, 2001) / - Bug to terminate before the completion of computation (to produce a segmentation fault) is fixed. This bug was reported by Hugh Anderson. Version 091b (February 26, 2001) / - Numerous memory leak bugs with GMP exact arithmetic, reported by Marc Pfetsch, are fixed. Also, a minor bug of cddlib to terminate with core dump, reported by Hugh Anderson, is fixed. The messages printed to the standard output "stdout" are now sent to "stderr". This was suggested by Ingo Schurr. Version 091a (February 16, 2001) / - Memory leak problems when GMP is used are fixed for dd_InitializeAmatrix, dd_CreateMatrix and dd_Larger. These bugs, reported by Marc Pfetsch, can be fatal if GMP is used and the functions are called many times. It has no effect for floating-point arithmetic computation. Version 091 (Sept. 25, 2000) / - Memory leak in FreeDDMemory (cddcore.c) is fixed. This bug, which might cause a serious problem, was reported by Shawn Rusaw. Also, a bug reported by Istvan Csabai on dynamic row ordering is fixed. This problem is most likely not affecting anyone, since the dynamic row ordering option is not available via the publicly released documentations. David Avis contributed a sample cddlib code, lcdd.c, which runs like his convex hull code, lrs. In particular, it is useful to generate standard output stream for piping in unix. Version 090e (July 12, 2000) / - A bug of reading very large integer values incorrectly is fixed. The previous versions were truncating very large integer values to a number representable by long integer. Version 090d (June 25, 2000) / - Serious bugs of dd_CopyOutput, dd_CopyInequalities are fixed. This bug is found by Istvan Csabai. Earlier versions 090* output wrong H-representations whenever the RHS constants are not nonnegative, even though the computation runs correctly internally. Version 090c (June 12, 2000) / - set_intialize is modified so that it allocates a smallest space even when a nonpositive length is requested. The bug of not outputting the origin is fixed when input is homogeneous inequality system and the cone contains no extreme rays. Note that cddlib does not output this vertex when the homogeneous cone has extreme rays, since cddlib outputs a minimal representation. - A new function dd_DDInputAppend is added. - dd_DDMatrix2Poly replaces (and combines) the two old functions dd_Matrix2Poly and dd_DoubleDescription. - dd_LPSolutionLoad is renamed as dd_CopyLPSolution. Version 090b (June 2, 2000) / - Thanks to Shawn Rusaw's great help, I could detect and fix many memory related problems (memory leak, out-of-bounds, etc). Also, when input is not regular (nonfull or containing line), cddlib did not generate adjacency/incidence properly and this version should work more correctly. Version 090a (May 30, 2000) / - a small bug fix in cddarith.c. The bug is reported by Shawn Rusaw. Version 090 (May 28, 2000) / - Major revision over the previous versions. It can be now compiled with GMP rational (-DGMPRATIONAL) as well as the standard C double. cdd and lp codes are merged and easily called together. Many functions and data types are modified and renamed. It comes with a simple cdd/cdd+-type standalne program scdd which does the standard representation conversion (*.ine <-> *.ext) and outputs all four types of auxiliary files (*.icd, *.iad, *.ecd, *ead). Although it lacks some functions such as preprojection of cdd+, scdd is potentially the most powerful cdd ever since it runs in the two arithmetics and it can handle any input. Because of the better readability and the overhead of employing function calls to do GMP arithmetic, the speed is little slower than cdd+-076 on both arithmetics C double and GMP rational. Version 086 (Jan 22, 2000) / - A bug fixed in dd_LexSmaller that affercted the lexicographic ordering of input data. This fix is essential for efficiency. Also several memory leaks have been fixed. Many of these bugs were found by Mr. Masanori Sato of Tokyo Institute of Technology. Never released. Version 085 (October 4, 1999) / - It can read rational data. Several minor bugs have been fixed. The new makefile creates cdd and dplex library archives libcdd.a and libdplex.a for unix systems. Version 080 (March 24, 1999) / - The first C-library version of cdd. It is stilll very primitive and has no documentation. See README.libcdd. Unlike the existing versions of cdd/cdd+, cddlib can deal with essentially any input, namely, non-full-dimensional convex hull problems and vertex-free extreme point (i.e. generator) listing problems. Also it comes with MathLink program cddmathlink that can be called from Mathematica to perform cdd operations. *** cdd version (date) / changes *** Version 0.61a (December, 1997) / Few minor corrections over 0.61. Version 0.61 (December 1, 1997) / It accepts "H-representation" and "V-representation" statements which are added to a Polyhedra format (1997). dp_FindInteriorPoint is added to dplex. Some small bugs are fixed in dplex. Version 0.60 (August 27, 1996) / The following changes are equivalent to ones that had been made for cdd+-074. The default output file names have been changed to be consistent with the transformation. To avoid confusion, *.ine file should be used only for a system of linear inequalities, and *.ext file only for a set of extreme points and rays. Accordingly, the files *.ead (previously *.adj) and *.ecd (previously *.icd) are reserved for the adjacency and incidence files for the extremal vertices/rays. Similarly, *.iad (previously *.iad) and *.icd (previously none) are reserved for the adjacency and incidence files for the inequality data. The LP code is now independent of cdd, and rewritten as a C library. This library is called dplex, and contains two algorithms, the dual simplex and the criss-cross method. Version C0.56 (August 7, 1995) / Some compilation problem associated with incompatible set_type variables in setoper.c is fixed. Various minor bugs are fixed. The output format of incidence file is slightly modified. (See the Reference Manual cddman.tex). Version C0.55a (December 18, 1994) / The broken "preprojection" option in Version 0.55 is fixed. Version C0.55 (December 5, 1994) / Set operation library setoper has been modified to use the optimized set_card function by David Bremner. It is expected that cdd runs much faster for problems with large row sizes. The package organization has been changed. Now the package consists of four C-programs, cdd.c, cddio.c, cddarith.c and setoper.c. New options verify_input, equality and strict_inequality are added. Also new options, lineshelling and row_decomposition are added but these options are still not in very reliable form and not recommended to use. Some newly found (minor) bugs are fixed. Version C0.54 (October 30, 1994) / The partial_enumeration option is renamed as "equality" option. A new option of "strict_inequality" is added to enumerate those vertices/rays satisfying some specified inequalities with strict inequality. Some bugs in reporting progress of iteration is fixed. Version C0.53 (July 29, 1994) / - Some imcompatibility of cdd and domcheck has been fixed. Namely, one can write any comments after each inequality data as long as it is written in the same line as the last number (i.e., a_{id}, for each i) of each ith inequality data. Anything written after the last number will be ignored. Also, random ordering option is added for specifying the ordering of rows (inequalities). Version C0.52b (March 28, 1994) / - The slowness problem of Version C0.52(a) is fixed. Version C0.51d (March 28, 1994) / - Because of the slowness of Version 0.52* due to unknown reasons, this version has been produced for a temporary replacement. This version fixes the bug mentioned in Version C0.52 release. Version C0.52a (March 28, 1994) / - A bug of Version C0.52 generating unnecessary information when maximize, minimize and find_interior are chosen is fixed. Version C0.52 (March 21, 1994) / - A bug of Version C0.51c generating segmentation fault when the option preprojection is used is fixed. This bug was reported by Alexander Bockmayr of Max-Planck Institute. - Some structural changes in the programs, cdd.c and cddarith.c, have been made mainly for a future planning of adding an option to decompose a problem into smaller subproblems. Version C0.51c (March 15, 1994) / - A bug of Version C0.51b (mishandling of homogeneous inputs, i.e. zero RHS) is fixed. This bug was reported by Alexander Bockmayr of Max-Planck Institute. Version C0.51b (March 9, 1994) / - A bug of Version C0.51a (mishandling of non full-dimensional polyhedron) is fixed. The bug was reported by Alexander Bockmayr of Max-Planck Institute. Version C0.51a (Feb. 16, 1994) / - A bug of Version C0.51 (mishandling of empty polyhedron) is fixed. Version C0.51 (Feb. 12, 1994) / - Some bugs of Version C0.50 has been fixed. - The option "algebraic" for selecting the algebraic adjacency computation is deleted. The reason is the combinatorial adjacency computation is almost always faster. - The option "minimize" is implemented to minimize a linear function over the polytope. Previously, only "maximize" was supported. - The option "find_interior" has been added to compute an interior point of the input polyhedron. Version C0.50 (Feb. 7, 1994) / - Major upgrade to implement a new data structure to store adjacencies of rays. The adjacency record lists, Edges(iteration), are used to store only necessary adjacencies for each iteration. This version runs much faster unless a dynamic ordering of rows (i.e. maxcutoff or mincutoff) is chosen. The users are strongly discouraged to use these dynamic ordering options. Version C0.38(Jan. 31, 1994) / - Bmatrix struct has been modified to store only the row pointers. Thus the program does not use any 2-dim arrays, and uses mainly dynamic allocation memory as much as necessary irrespective of the declared maximum size MMAX times NMAX. Thus, even in Macintosh computers large problems can be solved. - CrissCrossSolve LP solver has been updated to output dual solutions as well. Version C0.37(Jan. 25, 1994) / - Amatrix struct has been modified to store only the row pointers. Version C0.36(Jan. 23, 1994) / - RayRecord struct has been modified to store only a pointer for a ZeroSet so that the necessary space for the set is allocated each time. This saves a space for storing each RayRecord ZeroSet. For this modification, the setoper library must have been changed so that set_initialize allocates the minimum space. Note that this new version (Jan. 23, 1994) does not work with the older cdd programs. Version C0.35(Jan. 23, 1994) / - RayRecord struct has been modified to store only a pointer for a Ray vector so that the necessary space for the vector is allocated each time. This saves a space for storing each RayRecord. Version C0.34(Jan. 22, 1994) / - adjacency option has been added to output the adjacency list of output. Version C0.33(Jan. 16, 1994) / - partial_enumeration option has been added. By this option, one can enumerate all vertices and rays which are lying on a selected set of inequalities. The input ------------- begin m n Type b -A1 -A2 end partial_enumeration 4 1 4 6 7 ------------- restricts the enumeration for those lying on the 1st, 4th, 6th & 7th hyperplanes. Version C0.32(Jan. 11, 1994) / - "preprojection" option has been added. This option can be considered as a preprocessing of orthogonal projection of the polyhedon to a subset of variables. That is, if the inequality inequality system is of form A1 x1 + A2 x2 <= b, and the variable indices for x2, say 1, 4, 6, 7, are listed in the input file as ------------- begin m n Type b -A1 -A2 end preprojection 4 1 4 6 7 ------------- Then, cdd will output the inequality system, A1 x1 <= b, together with the list R of extremal rays of the homogeneous cone {z: z >=0 and z A2 = 0 }. Consequently, the inequality system {r A1 x1 <= r b for each r in R} represents the projection of the original polyhedron onto x1-space with possible redundancy. The supplementary C program (written by F. Margot) will be used to obtain a minimal system from these two outputs. Version C0.31(December 20, 1993) / - The main program cdd.c has been divided into two parts, cdd.c and cddarith.c, the latter contains all the procedures dealing with floating point numbers and operations. - LP solver CrissCrossSolve has been added. Now the option "maximize" can be used to optimize any linear function over the polyhedron. - The setoper library has been updated to accomodate set_card(set) function. Version C0.27(December 8, 1993) / - It uses a new versions of setoper.h and setoper.c (Dec 8, 1993 version) which have set complemen procedure set_compl. Version C0.26b(December 8, 1993) / - FindBasis and ComputeRank have been replaced with new programs which do not copy Amatrix (for save storage and time). Accordingly, the procedure CopyAmarix has been removed. Version C0.26 (November 29, 1993) / - FindBasis has been modified to be faster when the number of inequalities is large. - addition of #incidence option for outputting the cardinality of active hyperplanes instead of the set of all active hyperplanes at each vertex. - InitBasisAtBottom option has been added to select the last set of rows as the initial basis (determining a simplex cone/polytope). This option is {\em not\/} default. See User's manual. Version C0.25 (November 28, 1993) - The bug for mishandling the empty polyhedra input is fixed. Accordingly, the new variable CompStatus (Completion Status) has been added. - The procedure AddNewHyperplane and EvaluateARay have been completely changed. EvaluateARay computes A(hnew) * Ray for each Rays, and sort the linked list of rays so that the hnew-infeasible rays will be put consecutively from FirstRay. Version C0.24 (November 27, 1993) / - Modified to be able to deal with column size (nn) larger than 32. - Bugs of LexMin, LexMax ordering options are fixed. Version C0.23a, b (November 23, 1993) / - Few small bugs of C0.23 have been fixed. - Up to this version, the program can deal with column size at most 32. Version C0.23 (November 22, 1993) / - First release of cdd. Version C0.22 (November 21, 1993) / - File open procedures have been updated. Version C0.21 (November 10, 1993) / - The first version of cdd created by translating pdd.p (0.21) with Dave Gillespie's p2c translator and by modifying the c-code. The set operation libraries setoper.c, setoper.h (Nov.14, 1993) were created to make the code run without any p2c libraries. *** cdd+ version (date) / changes *** cdd+ Version 0.77beta (April 20, 2003) / This version is made so that it can be compiled with newer gcc. such as gcc 3.1.*. cdd+ Version 0.76 (March 17, 1999) / This is functionally the same as Ver. 075. This version can be compiled to run with GNU's GMP rational arithmetic library using Polymake's GMP-wrappers. cddr+ with GMP runs much faster than the previous versions of cddr+ (with g++ Rational library). cdd+ Version 0.75 (November 30, 1997) / This is a maintenance update of the previous version to employ the new 1997 Polyhedra format (introducing H-representation and V-representation statements). Three options for accuracy control is added: "zero_tolerance", "round_output_off" and "output_digits". cdd+ Version 0.74 (June 17, 1996) / Few minor bug fixes were made. cdd+ Version 0.74beta2 (June 5, 1996) / Also "vertex_listing_external" and "facet_listing_external" are added. These options do "vertex_listing" and "facet_listing" against the external file which can be huge. These options are useful when one has a small candidate set of vertices (or inequalities) and a large set of perhaps-redundant points (or inequalities). The external file must be named as "test.ext.external" (test.ine.external) if the candidate input file is test.ext (test.ine). cdd+ Version 0.74beta (June 4, 1996) / The option "vertex_listing" is added. The dual simplex method uses the standard Phase I instead of the criss-cross method. Consequently the LP code is faster. cdd+ Version 0.74alpha (March 30, 1996) / The default output file names have been changed to be consistent with the transformation. To avoid confusion, *.ine file should be used only for a system of linear inequalities, and *.ext file only for a set of extreme points and rays. Accordingly, the files *.ead (previously *.adj) and *.ecd (previously *.icd) are reserved for the adjacency and incidence files for the extremal vertices/rays. Similarly, *.iad (previously *.iad) and *.icd (previously none) are reserved for the adjacency and incidence files for the inequality data. Also, when a file with default file name exists in the current directory, the default extension name will be doubled. For instance, if test.ine is input and test.ext exists, then the extreme points and rays will be written in the file test.ext.ext. The program does not check "test.ext.ext" exists, and thus such a file will be overwritten if exists. cdd+ Version 0.73 (Septembe 6, 1995) / A new option "input_adjacency" has been added. The output format of incidence file is slightly modified. (See the Reference Manual cddman.tex). This incidence file format is compatible with cdd-056 and we will try not to change the format any more. cdd+ Version 0.72a (April 16, 1995) / Cycling bug of Version 072 of LP maximize and minimize has been fixed. cdd+ Version 0.72 (April 16, 1995) / The option "postanalysis" is added. This option is to be used after *.ext file is obtained. When this option is set with adjacency and/or incidence options, one can get adjacency and incidence files from both *.ine and *.ext files. Thus it is not necessary to generate *.adj and *.icd files together with *.ext file. cdd+ Version 0.71 (April 15, 1995) / Two new functions (through options) are added. The option "facet_listing" checks whether each input inequality determines a facet or not. The second option "tope_listing" generates all full-dimensional regions (topes) of the associated arrangement of hyperplanes by reverse search algorithm. Also, the option "show_tableau" is added to illustrate how the criss-cross method works in the tableau (dictornary) form. Criss-cross LP solver is now sensitive to ordering options, lexmin, minindex, radom, etc. cdd+ Version 0.70 (April 3, 1995) / The first C++ version of cdd which can run on both floating-point and rational (exact) arithmetics. The basic functions are identical to cdd-055. This version requires GNU gcc compilers (2.6.0 or higher) and a compatible g++lib. --- end of file: cddHISTORY --- cddlib-094g/ChangeLog (Autosaved)000066400000000000000000000625011206770251100165740ustar00rootroot00000000000000libcdd, cdd & cdd+ HISTORY file (as of February 7, 2008) *** libcdd version (date) / changes *** Version 094f (February 7, 2008) / - Thanks to Sven Verdoolaege's fixes, the "configure" script now uses "gcc" as the default compiler, rather than "g++" in earlier releases, and the libraries can be linked properly with both C and C++ programs. Version 094e (January 27, 2008) / - A bug of reporting a wrong (sign) certificate of an infeasible LP is fixed. This bug reported by Charles Geyer, occurs if the exact GMP version of the dd_LPSolve is used with minimization. A bug of reporting infeasibility of a feasible LP with column non-full rank LP is fixed. This bug was reported by Sven Verdoolaege. Version 094d (February 12, 2007) / - A bug of reporting a wrong unbounded direction vector of a dual inconsistent LP is fixed. This bug occurs only if the exact GMP version of the dd_LPSolve is used. For example, this error may occur in scdd_gmp. This error was reported by Lars Schewe. Version 094c (April 23, 2006) / - A bug for reading a rational number of length longer than 255 characters have been fixed. This was reported by Ruriko Yoshida. Now the longest number is controlled by dd_wordlenmax defined in cddtypes.h . The longest line is also controlled by dd_linelenmax . These are currently fixed to 1024 and 4096. Larger numbers and lines can be handled by modifying these numbers and recompilation. Version 094b (August 25, 2005) / - A bug for the representation conversion, reported by Michal Kvasnica, was fixed. The earlier 094* versions prematurely terminate the conversion when the number of rows is equal to the number of columns in the input. This means the earlier 094* do not compute correctly for simplices, for example. Version 094a (August 24, 2005) / - A bug of dd_LPSolve is fixed. This bug, reported by Dima Pasechnik, due to a mishandling of cycling of LP algorithms, is fixed. Version 094 (August 4, 2005) / - dd_MatrixCanonicalize has been added. This reduces matrix M to a minimal representation by computing all implicit linearity rows and all redundant rows. It applies lexicographic sorting of rows to remove duplicates before applying redundancy removal. This function combines the two computations together in more efficient manner than before. See the new redcheck.c for its use. Several basic operations for matrices have been added, such as dd_MatrixRowsRemove and dd_MatrixRowsRemove2. The representation conversion dd_DDMatrix2Poly now handles the empty H-polyhedra properly, by calling an LP-based emptiness checker before running the double description algorithm. New functions finding specific points in H-polyhedra are added. dd_ExistsRestrictedFace is a general inequality system solver with specified equations, inequalities and strict inequalities. dd_FindRelativeInterior finds a point in the relative interior of a polyhedron. Version 093d (February 27, 2005) / - The problem of outputting the running log has been corrected. This problem and a solution was communicated by Charles Geyer. Now, a new global dd_boolean variable dd_log (= dd_FALSE by default) controls log output. An scdd/lcdd bug of terminating with segmentation fault when an input polyhedron is numerically delicate has been corrected. This bug was reported by Stefan Volkwein. Version 093c (December 26, 2003) / - A bug of Phase I of the dual simplex method in floating-point arithmetics is fixed. The problem (bus error) occurred when input data is not appropriate for floating-point arithmetics. The problem occurrs even for the GMP executables as the exact LP solver first tries to detect the terminal basis with float-point arithmetics. Version 093b (November 10, 2003) / - The nonterminating problem of the LP solver has been fixed. This was due to a cycling of the criss-cross method in floating-point arithmetics, that is extremely rare. Also, the phase I of the dual simplex method has been modified. The auxiliary LP is perhaps less likely to be degenerate. Version 093a (Augst 11, 2003) / - The LP basis finding procedure dd_FindLPBasis2 has been updated. The functions dd_Matrix2WeakAdjacency, dd_SRedundant and dd_SRedundantRows are added. The manual has been updated. Version 093 (July 18, 2003) / - dd_LPSolve with GMP now runs fisrt with floating point arithmetics and checks with GMP the correctness of the result. New functions dd_Matrix2Adjacency, dd_FourierElimination, dd_BlockElimination, dd_DDMatrix2Poly2 are added. Some minor memory leak problems are fixed. (Thanks to the excellent memory debugger valgrind on linux.) Version 092b (October 19, 2002) / - An illegal memory access for EqualityIndex reported by Thao Dang is fixed. Another bug of lcdd_gmp which takes "real" data and return a false result is fixed. It now warns that input is not correct for the exact arithmetic lcdd_gmp. This error was reported by Andras Salamon. Version 092a (December 19, 2001) / - Joerg Rambau kindly created an autoconf distribution of cddlib-092. This version 092a is made from Rambau's version with a slight modification. For the momoment, the Mathematica cdd interface, cddmathlink (in src-mathlink), still needs to be handled in the conventional manner by editing Makefile. Version 092 (December 12, 2001) / - the default value of dd_almostzero is now set to 1.0E-7 instead of 1.0E-6. New functions are added for checking redundancy of H- and V- representations such as dd_Redundant, dd_RedundantRows, dd_ImplicitLinearity, dd_ImplicitLinearityRows, and dd_RayShooting. Also some basic operations on dd_MatrixPtr have been added such as dd_MatrixAppendTo, dd_MatrixRowRemove, dd_MatrixSubmatrix. The names of enumeration type variables have been modified. Now all names have prefix "dd_", e.g. Rational, Integer are now dd_Rational and dd_Integer. This applies to TRUE and FALSE, which are now dd_TRUE and dd_FALSE. Version 091d (March 9, 2001) / - Memory leak in dd_FreeLPData and dd_FreeLPSolution are fixed. Version 091c (February 27, 2001) / - Bug to terminate before the completion of computation (to produce a segmentation fault) is fixed. This bug was reported by Hugh Anderson. Version 091b (February 26, 2001) / - Numerous memory leak bugs with GMP exact arithmetic, reported by Marc Pfetsch, are fixed. Also, a minor bug of cddlib to terminate with core dump, reported by Hugh Anderson, is fixed. The messages printed to the standard output "stdout" are now sent to "stderr". This was suggested by Ingo Schurr. Version 091a (February 16, 2001) / - Memory leak problems when GMP is used are fixed for dd_InitializeAmatrix, dd_CreateMatrix and dd_Larger. These bugs, reported by Marc Pfetsch, can be fatal if GMP is used and the functions are called many times. It has no effect for floating-point arithmetic computation. Version 091 (Sept. 25, 2000) / - Memory leak in FreeDDMemory (cddcore.c) is fixed. This bug, which might cause a serious problem, was reported by Shawn Rusaw. Also, a bug reported by Istvan Csabai on dynamic row ordering is fixed. This problem is most likely not affecting anyone, since the dynamic row ordering option is not available via the publicly released documentations. David Avis contributed a sample cddlib code, lcdd.c, which runs like his convex hull code, lrs. In particular, it is useful to generate standard output stream for piping in unix. Version 090e (July 12, 2000) / - A bug of reading very large integer values incorrectly is fixed. The previous versions were truncating very large integer values to a number representable by long integer. Version 090d (June 25, 2000) / - Serious bugs of dd_CopyOutput, dd_CopyInequalities are fixed. This bug is found by Istvan Csabai. Earlier versions 090* output wrong H-representations whenever the RHS constants are not nonnegative, even though the computation runs correctly internally. Version 090c (June 12, 2000) / - set_intialize is modified so that it allocates a smallest space even when a nonpositive length is requested. The bug of not outputting the origin is fixed when input is homogeneous inequality system and the cone contains no extreme rays. Note that cddlib does not output this vertex when the homogeneous cone has extreme rays, since cddlib outputs a minimal representation. - A new function dd_DDInputAppend is added. - dd_DDMatrix2Poly replaces (and combines) the two old functions dd_Matrix2Poly and dd_DoubleDescription. - dd_LPSolutionLoad is renamed as dd_CopyLPSolution. Version 090b (June 2, 2000) / - Thanks to Shawn Rusaw's great help, I could detect and fix many memory related problems (memory leak, out-of-bounds, etc). Also, when input is not regular (nonfull or containing line), cddlib did not generate adjacency/incidence properly and this version should work more correctly. Version 090a (May 30, 2000) / - a small bug fix in cddarith.c. The bug is reported by Shawn Rusaw. Version 090 (May 28, 2000) / - Major revision over the previous versions. It can be now compiled with GMP rational (-DGMPRATIONAL) as well as the standard C double. cdd and lp codes are merged and easily called together. Many functions and data types are modified and renamed. It comes with a simple cdd/cdd+-type standalne program scdd which does the standard representation conversion (*.ine <-> *.ext) and outputs all four types of auxiliary files (*.icd, *.iad, *.ecd, *ead). Although it lacks some functions such as preprojection of cdd+, scdd is potentially the most powerful cdd ever since it runs in the two arithmetics and it can handle any input. Because of the better readability and the overhead of employing function calls to do GMP arithmetic, the speed is little slower than cdd+-076 on both arithmetics C double and GMP rational. Version 086 (Jan 22, 2000) / - A bug fixed in dd_LexSmaller that affercted the lexicographic ordering of input data. This fix is essential for efficiency. Also several memory leaks have been fixed. Many of these bugs were found by Mr. Masanori Sato of Tokyo Institute of Technology. Never released. Version 085 (October 4, 1999) / - It can read rational data. Several minor bugs have been fixed. The new makefile creates cdd and dplex library archives libcdd.a and libdplex.a for unix systems. Version 080 (March 24, 1999) / - The first C-library version of cdd. It is stilll very primitive and has no documentation. See README.libcdd. Unlike the existing versions of cdd/cdd+, cddlib can deal with essentially any input, namely, non-full-dimensional convex hull problems and vertex-free extreme point (i.e. generator) listing problems. Also it comes with MathLink program cddmathlink that can be called from Mathematica to perform cdd operations. *** cdd version (date) / changes *** Version 0.61a (December, 1997) / Few minor corrections over 0.61. Version 0.61 (December 1, 1997) / It accepts "H-representation" and "V-representation" statements which are added to a Polyhedra format (1997). dp_FindInteriorPoint is added to dplex. Some small bugs are fixed in dplex. Version 0.60 (August 27, 1996) / The following changes are equivalent to ones that had been made for cdd+-074. The default output file names have been changed to be consistent with the transformation. To avoid confusion, *.ine file should be used only for a system of linear inequalities, and *.ext file only for a set of extreme points and rays. Accordingly, the files *.ead (previously *.adj) and *.ecd (previously *.icd) are reserved for the adjacency and incidence files for the extremal vertices/rays. Similarly, *.iad (previously *.iad) and *.icd (previously none) are reserved for the adjacency and incidence files for the inequality data. The LP code is now independent of cdd, and rewritten as a C library. This library is called dplex, and contains two algorithms, the dual simplex and the criss-cross method. Version C0.56 (August 7, 1995) / Some compilation problem associated with incompatible set_type variables in setoper.c is fixed. Various minor bugs are fixed. The output format of incidence file is slightly modified. (See the Reference Manual cddman.tex). Version C0.55a (December 18, 1994) / The broken "preprojection" option in Version 0.55 is fixed. Version C0.55 (December 5, 1994) / Set operation library setoper has been modified to use the optimized set_card function by David Bremner. It is expected that cdd runs much faster for problems with large row sizes. The package organization has been changed. Now the package consists of four C-programs, cdd.c, cddio.c, cddarith.c and setoper.c. New options verify_input, equality and strict_inequality are added. Also new options, lineshelling and row_decomposition are added but these options are still not in very reliable form and not recommended to use. Some newly found (minor) bugs are fixed. Version C0.54 (October 30, 1994) / The partial_enumeration option is renamed as "equality" option. A new option of "strict_inequality" is added to enumerate those vertices/rays satisfying some specified inequalities with strict inequality. Some bugs in reporting progress of iteration is fixed. Version C0.53 (July 29, 1994) / - Some imcompatibility of cdd and domcheck has been fixed. Namely, one can write any comments after each inequality data as long as it is written in the same line as the last number (i.e., a_{id}, for each i) of each ith inequality data. Anything written after the last number will be ignored. Also, random ordering option is added for specifying the ordering of rows (inequalities). Version C0.52b (March 28, 1994) / - The slowness problem of Version C0.52(a) is fixed. Version C0.51d (March 28, 1994) / - Because of the slowness of Version 0.52* due to unknown reasons, this version has been produced for a temporary replacement. This version fixes the bug mentioned in Version C0.52 release. Version C0.52a (March 28, 1994) / - A bug of Version C0.52 generating unnecessary information when maximize, minimize and find_interior are chosen is fixed. Version C0.52 (March 21, 1994) / - A bug of Version C0.51c generating segmentation fault when the option preprojection is used is fixed. This bug was reported by Alexander Bockmayr of Max-Planck Institute. - Some structural changes in the programs, cdd.c and cddarith.c, have been made mainly for a future planning of adding an option to decompose a problem into smaller subproblems. Version C0.51c (March 15, 1994) / - A bug of Version C0.51b (mishandling of homogeneous inputs, i.e. zero RHS) is fixed. This bug was reported by Alexander Bockmayr of Max-Planck Institute. Version C0.51b (March 9, 1994) / - A bug of Version C0.51a (mishandling of non full-dimensional polyhedron) is fixed. The bug was reported by Alexander Bockmayr of Max-Planck Institute. Version C0.51a (Feb. 16, 1994) / - A bug of Version C0.51 (mishandling of empty polyhedron) is fixed. Version C0.51 (Feb. 12, 1994) / - Some bugs of Version C0.50 has been fixed. - The option "algebraic" for selecting the algebraic adjacency computation is deleted. The reason is the combinatorial adjacency computation is almost always faster. - The option "minimize" is implemented to minimize a linear function over the polytope. Previously, only "maximize" was supported. - The option "find_interior" has been added to compute an interior point of the input polyhedron. Version C0.50 (Feb. 7, 1994) / - Major upgrade to implement a new data structure to store adjacencies of rays. The adjacency record lists, Edges(iteration), are used to store only necessary adjacencies for each iteration. This version runs much faster unless a dynamic ordering of rows (i.e. maxcutoff or mincutoff) is chosen. The users are strongly discouraged to use these dynamic ordering options. Version C0.38(Jan. 31, 1994) / - Bmatrix struct has been modified to store only the row pointers. Thus the program does not use any 2-dim arrays, and uses mainly dynamic allocation memory as much as necessary irrespective of the declared maximum size MMAX times NMAX. Thus, even in Macintosh computers large problems can be solved. - CrissCrossSolve LP solver has been updated to output dual solutions as well. Version C0.37(Jan. 25, 1994) / - Amatrix struct has been modified to store only the row pointers. Version C0.36(Jan. 23, 1994) / - RayRecord struct has been modified to store only a pointer for a ZeroSet so that the necessary space for the set is allocated each time. This saves a space for storing each RayRecord ZeroSet. For this modification, the setoper library must have been changed so that set_initialize allocates the minimum space. Note that this new version (Jan. 23, 1994) does not work with the older cdd programs. Version C0.35(Jan. 23, 1994) / - RayRecord struct has been modified to store only a pointer for a Ray vector so that the necessary space for the vector is allocated each time. This saves a space for storing each RayRecord. Version C0.34(Jan. 22, 1994) / - adjacency option has been added to output the adjacency list of output. Version C0.33(Jan. 16, 1994) / - partial_enumeration option has been added. By this option, one can enumerate all vertices and rays which are lying on a selected set of inequalities. The input ------------- begin m n Type b -A1 -A2 end partial_enumeration 4 1 4 6 7 ------------- restricts the enumeration for those lying on the 1st, 4th, 6th & 7th hyperplanes. Version C0.32(Jan. 11, 1994) / - "preprojection" option has been added. This option can be considered as a preprocessing of orthogonal projection of the polyhedon to a subset of variables. That is, if the inequality inequality system is of form A1 x1 + A2 x2 <= b, and the variable indices for x2, say 1, 4, 6, 7, are listed in the input file as ------------- begin m n Type b -A1 -A2 end preprojection 4 1 4 6 7 ------------- Then, cdd will output the inequality system, A1 x1 <= b, together with the list R of extremal rays of the homogeneous cone {z: z >=0 and z A2 = 0 }. Consequently, the inequality system {r A1 x1 <= r b for each r in R} represents the projection of the original polyhedron onto x1-space with possible redundancy. The supplementary C program (written by F. Margot) will be used to obtain a minimal system from these two outputs. Version C0.31(December 20, 1993) / - The main program cdd.c has been divided into two parts, cdd.c and cddarith.c, the latter contains all the procedures dealing with floating point numbers and operations. - LP solver CrissCrossSolve has been added. Now the option "maximize" can be used to optimize any linear function over the polyhedron. - The setoper library has been updated to accomodate set_card(set) function. Version C0.27(December 8, 1993) / - It uses a new versions of setoper.h and setoper.c (Dec 8, 1993 version) which have set complemen procedure set_compl. Version C0.26b(December 8, 1993) / - FindBasis and ComputeRank have been replaced with new programs which do not copy Amatrix (for save storage and time). Accordingly, the procedure CopyAmarix has been removed. Version C0.26 (November 29, 1993) / - FindBasis has been modified to be faster when the number of inequalities is large. - addition of #incidence option for outputting the cardinality of active hyperplanes instead of the set of all active hyperplanes at each vertex. - InitBasisAtBottom option has been added to select the last set of rows as the initial basis (determining a simplex cone/polytope). This option is {\em not\/} default. See User's manual. Version C0.25 (November 28, 1993) - The bug for mishandling the empty polyhedra input is fixed. Accordingly, the new variable CompStatus (Completion Status) has been added. - The procedure AddNewHyperplane and EvaluateARay have been completely changed. EvaluateARay computes A(hnew) * Ray for each Rays, and sort the linked list of rays so that the hnew-infeasible rays will be put consecutively from FirstRay. Version C0.24 (November 27, 1993) / - Modified to be able to deal with column size (nn) larger than 32. - Bugs of LexMin, LexMax ordering options are fixed. Version C0.23a, b (November 23, 1993) / - Few small bugs of C0.23 have been fixed. - Up to this version, the program can deal with column size at most 32. Version C0.23 (November 22, 1993) / - First release of cdd. Version C0.22 (November 21, 1993) / - File open procedures have been updated. Version C0.21 (November 10, 1993) / - The first version of cdd created by translating pdd.p (0.21) with Dave Gillespie's p2c translator and by modifying the c-code. The set operation libraries setoper.c, setoper.h (Nov.14, 1993) were created to make the code run without any p2c libraries. *** cdd+ version (date) / changes *** cdd+ Version 0.77beta (April 20, 2003) / This version is made so that it can be compiled with newer gcc. such as gcc 3.1.*. cdd+ Version 0.76 (March 17, 1999) / This is functionally the same as Ver. 075. This version can be compiled to run with GNU's GMP rational arithmetic library using Polymake's GMP-wrappers. cddr+ with GMP runs much faster than the previous versions of cddr+ (with g++ Rational library). cdd+ Version 0.75 (November 30, 1997) / This is a maintenance update of the previous version to employ the new 1997 Polyhedra format (introducing H-representation and V-representation statements). Three options for accuracy control is added: "zero_tolerance", "round_output_off" and "output_digits". cdd+ Version 0.74 (June 17, 1996) / Few minor bug fixes were made. cdd+ Version 0.74beta2 (June 5, 1996) / Also "vertex_listing_external" and "facet_listing_external" are added. These options do "vertex_listing" and "facet_listing" against the external file which can be huge. These options are useful when one has a small candidate set of vertices (or inequalities) and a large set of perhaps-redundant points (or inequalities). The external file must be named as "test.ext.external" (test.ine.external) if the candidate input file is test.ext (test.ine). cdd+ Version 0.74beta (June 4, 1996) / The option "vertex_listing" is added. The dual simplex method uses the standard Phase I instead of the criss-cross method. Consequently the LP code is faster. cdd+ Version 0.74alpha (March 30, 1996) / The default output file names have been changed to be consistent with the transformation. To avoid confusion, *.ine file should be used only for a system of linear inequalities, and *.ext file only for a set of extreme points and rays. Accordingly, the files *.ead (previously *.adj) and *.ecd (previously *.icd) are reserved for the adjacency and incidence files for the extremal vertices/rays. Similarly, *.iad (previously *.iad) and *.icd (previously none) are reserved for the adjacency and incidence files for the inequality data. Also, when a file with default file name exists in the current directory, the default extension name will be doubled. For instance, if test.ine is input and test.ext exists, then the extreme points and rays will be written in the file test.ext.ext. The program does not check "test.ext.ext" exists, and thus such a file will be overwritten if exists. cdd+ Version 0.73 (Septembe 6, 1995) / A new option "input_adjacency" has been added. The output format of incidence file is slightly modified. (See the Reference Manual cddman.tex). This incidence file format is compatible with cdd-056 and we will try not to change the format any more. cdd+ Version 0.72a (April 16, 1995) / Cycling bug of Version 072 of LP maximize and minimize has been fixed. cdd+ Version 0.72 (April 16, 1995) / The option "postanalysis" is added. This option is to be used after *.ext file is obtained. When this option is set with adjacency and/or incidence options, one can get adjacency and incidence files from both *.ine and *.ext files. Thus it is not necessary to generate *.adj and *.icd files together with *.ext file. cdd+ Version 0.71 (April 15, 1995) / Two new functions (through options) are added. The option "facet_listing" checks whether each input inequality determines a facet or not. The second option "tope_listing" generates all full-dimensional regions (topes) of the associated arrangement of hyperplanes by reverse search algorithm. Also, the option "show_tableau" is added to illustrate how the criss-cross method works in the tableau (dictornary) form. Criss-cross LP solver is now sensitive to ordering options, lexmin, minindex, radom, etc. cdd+ Version 0.70 (April 3, 1995) / The first C++ version of cdd which can run on both floating-point and rational (exact) arithmetics. The basic functions are identical to cdd-055. This version requires GNU gcc compilers (2.6.0 or higher) and a compatible g++lib. --- end of file: cddHISTORY --- cddlib-094g/HISTORY000077700000000000000000000000001206770251100156122ChangeLogustar00rootroot00000000000000cddlib-094g/INSTALL000066400000000000000000000262221206770251100140160ustar00rootroot00000000000000Installation Instructions ************************* Copyright (C) 1994, 1995, 1996, 1999, 2000, 2001, 2002, 2004, 2005, 2006, 2007, 2008 Free Software Foundation, Inc. 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Run `configure --help' for more details. cddlib-094g/Makefile.am000066400000000000000000000014461206770251100150220ustar00rootroot00000000000000############################################## # Site customizations: #--------------------------------------------- # where is gmp? #--------------------------------------------- # export gmpdir := $(PWD)/../gmp-4.1 export gmpdir := /usr/local #--------------------------------------------- # where is gmp lib? export gmplibdir = $(gmpdir)/lib #--------------------------------------------- # where is gmp include? #--------------------------------------------- # export gmpincludedir = $(gmpdir) export gmpincludedir = $(gmpdir)/include #--------------------------------------------- # End of site customization. ############################################## SUBDIRS = lib-src src lib-src-gmp src-gmp EXTRA_DIST = examples/*.* examples-ine/*.* examples-ine3d/*.* examples-ml/*.* examples-ext/*.* cddlib-094g/Makefile.in000066400000000000000000000466761206770251100150510ustar00rootroot00000000000000# Makefile.in generated by automake 1.10.2 from Makefile.am. # @configure_input@ # Copyright (C) 1994, 1995, 1996, 1997, 1998, 1999, 2000, 2001, 2002, # 2003, 2004, 2005, 2006, 2007, 2008 Free Software Foundation, Inc. # This Makefile.in is free software; the Free Software Foundation # gives unlimited permission to copy and/or distribute it, # with or without modifications, as long as this notice is preserved. # This program is distributed in the hope that it will be useful, # but WITHOUT ANY WARRANTY, to the extent permitted by law; without # even the implied warranty of MERCHANTABILITY or FITNESS FOR A # PARTICULAR PURPOSE. @SET_MAKE@ VPATH = @srcdir@ pkgdatadir = $(datadir)/@PACKAGE@ pkglibdir = $(libdir)/@PACKAGE@ pkgincludedir = $(includedir)/@PACKAGE@ am__cd = CDPATH="$${ZSH_VERSION+.}$(PATH_SEPARATOR)" && cd install_sh_DATA = $(install_sh) -c -m 644 install_sh_PROGRAM = $(install_sh) -c install_sh_SCRIPT = $(install_sh) -c INSTALL_HEADER = $(INSTALL_DATA) transform = $(program_transform_name) NORMAL_INSTALL = : PRE_INSTALL = : POST_INSTALL = : NORMAL_UNINSTALL = : PRE_UNINSTALL = : POST_UNINSTALL = : build_triplet = @build@ host_triplet = @host@ subdir = . 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The C-library cddlib is a C implementation of the Double Description Method of Motzkin et al. for generating all vertices (i.e. extreme points) and extreme rays of a general convex polyhedron in R^d given by a system of linear inequalities: P = { x=(x1, ..., xd)^T : b - A x >= 0 } where A is a given m x d real matrix, b is a given m-vector and 0 is the m-vector of all zeros. The program can be used for the reverse operation (i.e. convex hull computation). This means that one can move back and forth between an inequality representation and a generator (i.e. vertex and ray) representation of a polyhedron with cdd. Also, cdd can solve a linear programming problem, i.e. a problem of maximizing and minimizing a linear function over P. The version 0.94 is the seventh release of libcdd. New functions added in this release include dd_MatrixCanonicalize, dd_FindRelativeInterior and dd_ExistsRestrictedFace. These functions are LP-based and should be reasonably efficient. The sample programs such as redcheck.c, testlp1.c and allfaces.c show how these functions can be used to remove redundancies, to compute the dimension and all faces of an H-polyhedron. In addition to the new functionalities, many small bugs have been fixed. For example, the mishandling of empty H-polyhedra has been fixed for the representation conversion. If you find some problems or bugs, please kindly report them to fukuda@ifor.math.ethz.ch. Please read README.whatsnew for the changes over the last release. The documentation (cddlibman.tex) is still incomplete but contains descriptions of the most important functions. Please look at the examples, testcdd*.c, testlp*.c, simplecdd.c, lcdd.c, redcheck,c for how the library functions can be used in user's C-codes. 2. One convenient feature of cddlib is the ability to handle essentially any data. More precisely, it can generate an H-representation of a V-polyhedron which is not full-dimensional, and it can generate a V-representation of an H-polyhedron which has no extreme points. 3. A little caution is in order. Many people have seen numerical problems when the floating version of cddlib is used. As we all know, floating-point computation might not give a correct answer, especially when an input data is very sensitive to a small perturbation. When some strange behavior is observed, it is always wise to create a rational approximation of the input (for example, one can replace 0.3333333 with 1/3) and to compute it with cddlib compiled with gmp rational to see what a correct behavior should be. Whenever the time is not important, it is safer to use gmp rational arithmetic. If you need speedy computation with floating-point arithmetic, you might want to "play with" the constant "dd_almostzero" defined in cdd.h: #define dd_almostzero 1.0E-6 This number is used to recognize whether a number is zero: a number whose absolute value is smaller than dd_almostzero is considered zero, and nonzero otherwise. You might want to change this to modify the behavior of cddlib. Another thing one can do is scaling. If the values in one column of an input is of smaller magnitude than those in another column, scale one so that they become comparable. 4. The cddlib package is in "tar"ed and "gzip"ed format with name cddlib-***.tar.gz, where *** is the version number. The standard download site for the package is web site : http://www.ifor.math.ethz.ch/~fukuda/cdd_home/index.html file name: cddlib-***.tar.gz In order to unpack the package in a standard unix environment, type % tar xvfz cddlib-***.tar.gz where *** must be replaced by the appropriate version number, and % is a unix prompt. For compilation of libcdd, go to the cddlib top directorycddlib and follow the general instruction of autoconf. In generic unix/linux environment, use "./configure" and "make". To enforce a certain compiler to be used, specify it as CXX=g++ ./configure The default compiler is gcc. Note that one must install GMP-4.* (or higher) first. For compilation of MathLink programs, you need a binary "mprep", MathLink library "libML.a" and include file "mathlink.h" which come with Mathematica. I have tested for Mathematica 4.1 and 3.* on MacOSX and Linux. This part is not "autoconf"igured and thus one needs to edit Makefile in the src-mathlink and src-mathlink2 subdirectories. To install the library in public directory of unix environment, just type "make install". The default installation directory is /usr/local. If you want to select other places, use "./configure --prefix=" to configure with your favorite . One might have to make the files publicly readable by chmod. Once the files are properly installed, any user can use compile one's own code (e.g. testcdd1.c) and link it with libcdd by % gcc -I/usr/local/include -L/usr/local/lib testcdd1.c -lcdd or (with GMP rational arithmetic) % gcc -I/usr/local/include -L/usr/local/lib -DGMPRATIONAL testcdd1.c -lcddgmp -lgmp 5. cddlib comes with a MathLink version of cddlib that can be called from Mathematica (tested for Mathematica 2.2, 3.0, 4.1, 5.1). A few Mathematica notebooks are included to explain how one can use this program "cddmathlink" from Mathematica to manipulate polytopes. Please check the files, cddml-notbook.ma, cddml-PolytopeSkeleton.ma, cddml-DietProblem.ma, and cddml-Zonotope.ma, in the mma subdirectory. I could compile cddmathlink.c for Macintosh and Windows. Please use gcc instead of g++ to compile cddlib. I have put binaries for different platforms in http://www.cs.mcgill.ca/~fukuda/download/cdd/cddlibml_binary/ . 6. The library cddlib is free software, but if cddlib turns out to be useful, please kindly send me (at the address below) a note or a paper mentioning what purpose and how cdd has been used for. The most powerful support for free software development is user's appreciation. For more information, contact Komei Fukuda Institute of Theoretical Computer Science ETH Zentrum, CH-8092 Zurich, Switzerland Tel +41-1-632-4023, Fax +41-1-632-1063 http://www.ifor.math.ethz.ch/staff/fukuda/ // END of README cddlib-094g/README.core2processor000066400000000000000000000004771206770251100166220ustar00rootroot00000000000000To compile on Intel Core 2 (64 bit) processors running MacOSX, you might need to add the compilation flags "-m64 -fast" by ./configure CFLAGS="-m64 -fast" This may apply to other operating systems. Also, note that this does not apply to 32 bit processors like Intel Core processor. Komei Fukuda February 14, 2009 cddlib-094g/aclocal.m4000066400000000000000000011452631206770251100146350ustar00rootroot00000000000000# generated automatically by aclocal 1.10.2 -*- Autoconf -*- # Copyright (C) 1996, 1997, 1998, 1999, 2000, 2001, 2002, 2003, 2004, # 2005, 2006, 2007, 2008 Free Software Foundation, Inc. # This file is free software; the Free Software Foundation # gives unlimited permission to copy and/or distribute it, # with or without modifications, as long as this notice is preserved. # This program is distributed in the hope that it will be useful, # but WITHOUT ANY WARRANTY, to the extent permitted by law; without # even the implied warranty of MERCHANTABILITY or FITNESS FOR A # PARTICULAR PURPOSE. m4_ifndef([AC_AUTOCONF_VERSION], [m4_copy([m4_PACKAGE_VERSION], [AC_AUTOCONF_VERSION])])dnl m4_if(m4_defn([AC_AUTOCONF_VERSION]), [2.63],, [m4_warning([this file was generated for autoconf 2.63. You have another version of autoconf. It may work, but is not guaranteed to. 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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 :; 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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;/^$/d' | tr '\n' ' '` sys_lib_dlsearch_path_spec="/lib /usr/lib $lt_ld_extra" fi # We used to test for /lib/ld.so.1 and disable shared libraries on # powerpc, because MkLinux only supported shared libraries with the # GNU dynamic linker. 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*nto* | *qnx*) version_type=qnx need_lib_prefix=no need_version=no library_names_spec='${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*) version_type=sunos sys_lib_dlsearch_path_spec="/usr/lib" need_lib_prefix=no # Some older versions of OpenBSD (3.3 at least) *do* need versioned libs. case $host_os in openbsd3.3 | openbsd3.3.*) need_version=yes ;; *) need_version=no ;; esac library_names_spec='${libname}${release}${shared_ext}$versuffix ${libname}${shared_ext}$versuffix' finish_cmds='PATH="\$PATH:/sbin" ldconfig -m $libdir' shlibpath_var=LD_LIBRARY_PATH if test -z "`echo __ELF__ | $CC -E - | $GREP __ELF__`" || test "$host_os-$host_cpu" = "openbsd2.8-powerpc"; then case $host_os in openbsd2.[[89]] | openbsd2.[[89]].*) shlibpath_overrides_runpath=no ;; *) shlibpath_overrides_runpath=yes ;; esac else shlibpath_overrides_runpath=yes fi ;; os2*) libname_spec='$name' shrext_cmds=".dll" need_lib_prefix=no library_names_spec='$libname${shared_ext} $libname.a' dynamic_linker='OS/2 ld.exe' shlibpath_var=LIBPATH ;; osf3* | osf4* | osf5*) version_type=osf need_lib_prefix=no need_version=no soname_spec='${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="$sys_lib_search_path_spec" ;; rdos*) dynamic_linker=no ;; solaris*) version_type=linux need_lib_prefix=no need_version=no library_names_spec='${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 $libdir' shlibpath_var=LD_LIBRARY_PATH shlibpath_overrides_runpath=yes if test "$with_gnu_ld" = yes; then need_lib_prefix=no fi need_version=yes ;; sysv4 | sysv4.3*) version_type=linux 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 $host_vendor in sni) shlibpath_overrides_runpath=no need_lib_prefix=no runpath_var=LD_RUN_PATH ;; siemens) need_lib_prefix=no ;; motorola) need_lib_prefix=no need_version=no shlibpath_overrides_runpath=no sys_lib_search_path_spec='/lib /usr/lib /usr/ccs/lib' ;; esac ;; sysv4*MP*) if test -d /usr/nec ;then version_type=linux library_names_spec='$libname${shared_ext}.$versuffix $libname${shared_ext}.$major $libname${shared_ext}' soname_spec='$libname${shared_ext}.$major' shlibpath_var=LD_LIBRARY_PATH fi ;; sysv5* | sco3.2v5* | sco5v6* | unixware* | OpenUNIX* | sysv4*uw2*) version_type=freebsd-elf need_lib_prefix=no need_version=no library_names_spec='${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 "$with_gnu_ld" = yes; 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. 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First name is the real one, the rest are links. 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AC_CHECK_TOOLS(DUMPBIN, ["dumpbin -symbols" "link -dump -symbols"], :) AC_SUBST([DUMPBIN]) if test "$DUMPBIN" != ":"; then NM="$DUMPBIN" fi fi test -z "$NM" && NM=nm AC_SUBST([NM]) _LT_DECL([], [NM], [1], [A BSD- or MS-compatible name lister])dnl AC_CACHE_CHECK([the name lister ($NM) interface], [lt_cv_nm_interface], [lt_cv_nm_interface="BSD nm" echo "int some_variable = 0;" > conftest.$ac_ext (eval echo "\"\$as_me:__oline__: $ac_compile\"" >&AS_MESSAGE_LOG_FD) (eval "$ac_compile" 2>conftest.err) cat conftest.err >&AS_MESSAGE_LOG_FD (eval echo "\"\$as_me:__oline__: $NM \\\"conftest.$ac_objext\\\"\"" >&AS_MESSAGE_LOG_FD) (eval "$NM \"conftest.$ac_objext\"" 2>conftest.err > conftest.out) cat conftest.err >&AS_MESSAGE_LOG_FD (eval echo "\"\$as_me:__oline__: output\"" >&AS_MESSAGE_LOG_FD) cat conftest.out >&AS_MESSAGE_LOG_FD if $GREP 'External.*some_variable' conftest.out > /dev/null; then lt_cv_nm_interface="MS dumpbin" fi rm -f conftest*]) ])# LT_PATH_NM # Old names: AU_ALIAS([AM_PROG_NM], [LT_PATH_NM]) AU_ALIAS([AC_PROG_NM], [LT_PATH_NM]) dnl aclocal-1.4 backwards compatibility: dnl AC_DEFUN([AM_PROG_NM], []) dnl AC_DEFUN([AC_PROG_NM], []) # LT_LIB_M # -------- # check for math library AC_DEFUN([LT_LIB_M], [AC_REQUIRE([AC_CANONICAL_HOST])dnl LIBM= case $host in *-*-beos* | *-*-cygwin* | *-*-pw32* | *-*-darwin*) # These system don't have libm, or don't need it ;; *-ncr-sysv4.3*) AC_CHECK_LIB(mw, _mwvalidcheckl, LIBM="-lmw") AC_CHECK_LIB(m, cos, LIBM="$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, $1)= if test "$GCC" = yes; then _LT_TAGVAR(lt_prog_compiler_no_builtin_flag, $1)=' -fno-builtin' _LT_COMPILER_OPTION([if $compiler supports -fno-rtti -fno-exceptions], lt_cv_prog_compiler_rtti_exceptions, [-fno-rtti -fno-exceptions], [], [_LT_TAGVAR(lt_prog_compiler_no_builtin_flag, $1)="$_LT_TAGVAR(lt_prog_compiler_no_builtin_flag, $1) -fno-rtti -fno-exceptions"]) fi _LT_TAGDECL([no_builtin_flag], [lt_prog_compiler_no_builtin_flag], [1], [Compiler flag to turn off builtin functions]) ])# _LT_COMPILER_NO_RTTI # _LT_CMD_GLOBAL_SYMBOLS # ---------------------- m4_defun([_LT_CMD_GLOBAL_SYMBOLS], [AC_REQUIRE([AC_CANONICAL_HOST])dnl AC_REQUIRE([AC_PROG_CC])dnl AC_REQUIRE([LT_PATH_NM])dnl AC_REQUIRE([LT_PATH_LD])dnl m4_require([_LT_DECL_SED])dnl m4_require([_LT_DECL_EGREP])dnl m4_require([_LT_TAG_COMPILER])dnl # Check for command to grab the raw symbol name followed by C symbol from nm. AC_MSG_CHECKING([command to parse $NM output from $compiler object]) AC_CACHE_VAL([lt_cv_sys_global_symbol_pipe], [ # 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 $host_os in aix*) symcode='[[BCDT]]' ;; cygwin* | mingw* | pw32* | cegcc*) symcode='[[ABCDGISTW]]' ;; hpux*) if test "$host_cpu" = ia64; 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 # 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 -e 's/^T .* \(.*\)$/extern int \1();/p' -e 's/^$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 -e 's/^: \([[^ ]]*\) $/ {\\\"\1\\\", (void *) 0},/p' -e 's/^$symcode* \([[^ ]]*\) \([[^ ]]*\)$/ {\"\2\", (void *) \&\2},/p'" lt_cv_sys_global_symbol_to_c_name_address_lib_prefix="sed -n -e 's/^: \([[^ ]]*\) $/ {\\\"\1\\\", (void *) 0},/p' -e 's/^$symcode* \([[^ ]]*\) \(lib[[^ ]]*\)$/ {\"\2\", (void *) \&\2},/p' -e 's/^$symcode* \([[^ ]]*\) \([[^ ]]*\)$/ {\"lib\2\", (void *) \&\2},/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 # and D for any global 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};"\ " /Section length .*#relocs.*(pick any)/{hide[last_section]=1};"\ " \$ 0!~/External *\|/{next};"\ " / 0+ UNDEF /{next}; / UNDEF \([^|]\)*()/{next};"\ " {if(hide[section]) next};"\ " {f=0}; \$ 0~/\(\).*\|/{f=1}; {printf f ? \"T \" : \"D \"};"\ " {split(\$ 0, a, /\||\r/); split(a[2], s)};"\ " s[1]~/^[@?]/{print s[1], s[1]; next};"\ " s[1]~prfx {split(s[1],t,\"@\"); print 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$opt_cr$/$symxfrm/p'" fi # Check to see that the pipe works correctly. pipe_works=no rm -f conftest* cat > conftest.$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 #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. */ const struct { const char *name; void *address; } lt__PROGRAM__LTX_preloaded_symbols[[]] = { { "@PROGRAM@", (void *) 0 }, _LT_EOF $SED "s/^$symcode$symcode* \(.*\) \(.*\)$/ {\"\2\", (void *) \&\2},/" < "$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.$ac_objext lt_save_LIBS="$LIBS" lt_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="$lt_save_LIBS" CFLAGS="$lt_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.$ac_ext >&5 fi rm -rf conftest* conftst* # Do not use the global_symbol_pipe unless it works. if test "$pipe_works" = yes; 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 _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_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_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)= AC_MSG_CHECKING([for $compiler option to produce PIC]) m4_if([$1], [CXX], [ # C++ specific cases for pic, static, wl, etc. if test "$GXX" = yes; then _LT_TAGVAR(lt_prog_compiler_wl, $1)='-Wl,' _LT_TAGVAR(lt_prog_compiler_static, $1)='-static' case $host_os in aix*) # All AIX code is PIC. if test "$host_cpu" = ia64; then # AIX 5 now supports IA64 processor _LT_TAGVAR(lt_prog_compiler_static, $1)='-Bstatic' fi ;; 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']) ;; 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)= ;; 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 $host_os in aix[[4-9]]*) # All AIX code is PIC. if test "$host_cpu" = ia64; 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 ;; 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 ${wl}archive' if test "$host_cpu" != ia64; 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) 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*) # IBM XL 8.0 on PPC _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*) # 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, $1)=no ;; esac fi ], [ if test "$GCC" = yes; then _LT_TAGVAR(lt_prog_compiler_wl, $1)='-Wl,' _LT_TAGVAR(lt_prog_compiler_static, $1)='-static' case $host_os in aix*) # All AIX code is PIC. if test "$host_cpu" = ia64; then # AIX 5 now supports IA64 processor _LT_TAGVAR(lt_prog_compiler_static, $1)='-Bstatic' fi ;; 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']) ;; 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' ;; 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 else # PORTME Check for flag to pass linker flags through the system compiler. case $host_os in aix*) _LT_TAGVAR(lt_prog_compiler_wl, $1)='-Wl,' if test "$host_cpu" = ia64; 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 ;; 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']) ;; 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) 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' ;; 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netbsd*) if echo __ELF__ | $CC -E - | $GREP __ELF__ >/dev/null; then _LT_TAGVAR(archive_cmds, $1)='$LD -Bshareable -o $lib $libobjs $deplibs $linker_flags' # a.out else _LT_TAGVAR(archive_cmds, $1)='$LD -shared -o $lib $libobjs $deplibs $linker_flags' # ELF fi _LT_TAGVAR(hardcode_libdir_flag_spec, $1)='-R$libdir' _LT_TAGVAR(hardcode_direct, $1)=yes _LT_TAGVAR(hardcode_shlibpath_var, $1)=no ;; newsos6) _LT_TAGVAR(archive_cmds, $1)='$LD -G -h $soname -o $lib $libobjs $deplibs $linker_flags' _LT_TAGVAR(hardcode_direct, $1)=yes _LT_TAGVAR(hardcode_libdir_flag_spec, $1)='${wl}-rpath ${wl}$libdir' _LT_TAGVAR(hardcode_libdir_separator, $1)=: _LT_TAGVAR(hardcode_shlibpath_var, $1)=no ;; *nto* | *qnx*) ;; openbsd*) if test -f /usr/libexec/ld.so; then _LT_TAGVAR(hardcode_direct, $1)=yes _LT_TAGVAR(hardcode_shlibpath_var, $1)=no _LT_TAGVAR(hardcode_direct_absolute, $1)=yes if test -z "`echo __ELF__ | $CC -E - | $GREP __ELF__`" || test "$host_os-$host_cpu" = "openbsd2.8-powerpc"; then _LT_TAGVAR(archive_cmds, $1)='$CC -shared $pic_flag -o $lib $libobjs $deplibs $compiler_flags' _LT_TAGVAR(archive_expsym_cmds, $1)='$CC -shared $pic_flag -o $lib $libobjs $deplibs $compiler_flags ${wl}-retain-symbols-file,$export_symbols' _LT_TAGVAR(hardcode_libdir_flag_spec, $1)='${wl}-rpath,$libdir' _LT_TAGVAR(export_dynamic_flag_spec, $1)='${wl}-E' else case $host_os in openbsd[[01]].* | openbsd2.[[0-7]] | openbsd2.[[0-7]].*) _LT_TAGVAR(archive_cmds, $1)='$LD -Bshareable -o $lib $libobjs $deplibs $linker_flags' _LT_TAGVAR(hardcode_libdir_flag_spec, $1)='-R$libdir' ;; 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osf4* | osf5*) # as osf3* with the addition of -msym flag if test "$GCC" = yes; then _LT_TAGVAR(allow_undefined_flag, $1)=' ${wl}-expect_unresolved ${wl}\*' _LT_TAGVAR(archive_cmds, $1)='$CC -shared${allow_undefined_flag} $libobjs $deplibs $compiler_flags ${wl}-msym ${wl}-soname ${wl}$soname `test -n "$verstring" && $ECHO "X${wl}-set_version ${wl}$verstring" | $Xsed` ${wl}-update_registry ${wl}${output_objdir}/so_locations -o $lib' _LT_TAGVAR(hardcode_libdir_flag_spec, $1)='${wl}-rpath ${wl}$libdir' else _LT_TAGVAR(allow_undefined_flag, $1)=' -expect_unresolved \*' _LT_TAGVAR(archive_cmds, $1)='$CC -shared${allow_undefined_flag} $libobjs $deplibs $compiler_flags -msym -soname $soname `test -n "$verstring" && $ECHO "X-set_version $verstring" | $Xsed` -update_registry ${output_objdir}/so_locations -o $lib' _LT_TAGVAR(archive_expsym_cmds, $1)='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 "X-set_version $verstring" | $Xsed` -update_registry ${output_objdir}/so_locations -o $lib~$RM $lib.exp' # Both c and cxx compiler support -rpath directly _LT_TAGVAR(hardcode_libdir_flag_spec, $1)='-rpath $libdir' fi _LT_TAGVAR(archive_cmds_need_lc, $1)='no' _LT_TAGVAR(hardcode_libdir_separator, $1)=: ;; solaris*) _LT_TAGVAR(no_undefined_flag, $1)=' -z defs' if test "$GCC" = yes; then wlarc='${wl}' _LT_TAGVAR(archive_cmds, $1)='$CC -shared ${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 ${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: *; 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AC_MSG_CHECKING([whether -lc should be explicitly linked in]) $RM conftest* echo "$lt_simple_compile_test_code" > conftest.$ac_ext if AC_TRY_EVAL(ac_compile) 2>conftest.err; then soname=conftest lib=conftest libobjs=conftest.$ac_objext deplibs= wl=$_LT_TAGVAR(lt_prog_compiler_wl, $1) pic_flag=$_LT_TAGVAR(lt_prog_compiler_pic, $1) compiler_flags=-v linker_flags=-v verstring= output_objdir=. libname=conftest lt_save_allow_undefined_flag=$_LT_TAGVAR(allow_undefined_flag, $1) _LT_TAGVAR(allow_undefined_flag, $1)= if AC_TRY_EVAL(_LT_TAGVAR(archive_cmds, $1) 2\>\&1 \| $GREP \" -lc \" \>/dev/null 2\>\&1) then _LT_TAGVAR(archive_cmds_need_lc, $1)=no else _LT_TAGVAR(archive_cmds_need_lc, $1)=yes fi _LT_TAGVAR(allow_undefined_flag, $1)=$lt_save_allow_undefined_flag else cat conftest.err 1>&5 fi $RM conftest* AC_MSG_RESULT([$_LT_TAGVAR(archive_cmds_need_lc, $1)]) ;; esac fi ;; esac _LT_TAGDECL([build_libtool_need_lc], [archive_cmds_need_lc], [0], [Whether or not to add -lc for building shared libraries]) _LT_TAGDECL([allow_libtool_libs_with_static_runtimes], [enable_shared_with_static_runtimes], [0], [Whether or not to disallow shared libs when runtime libs are static]) _LT_TAGDECL([], [export_dynamic_flag_spec], [1], [Compiler flag to allow reflexive dlopens]) _LT_TAGDECL([], [whole_archive_flag_spec], [1], [Compiler flag to generate shared objects directly from archives]) _LT_TAGDECL([], [compiler_needs_object], [1], [Whether the compiler copes with passing no objects directly]) _LT_TAGDECL([], [old_archive_from_new_cmds], [2], [Create an old-style archive from a shared archive]) _LT_TAGDECL([], [old_archive_from_expsyms_cmds], [2], [Create a temporary old-style archive to link instead of a shared archive]) _LT_TAGDECL([], [archive_cmds], [2], [Commands used to build a shared archive]) _LT_TAGDECL([], [archive_expsym_cmds], [2]) _LT_TAGDECL([], [module_cmds], [2], [Commands used to build a loadable module if different from building a shared archive.]) _LT_TAGDECL([], [module_expsym_cmds], [2]) _LT_TAGDECL([], [with_gnu_ld], [1], [Whether we are building with GNU ld or not]) _LT_TAGDECL([], [allow_undefined_flag], [1], [Flag that allows shared libraries with undefined symbols to be built]) _LT_TAGDECL([], [no_undefined_flag], [1], [Flag that enforces no undefined symbols]) _LT_TAGDECL([], [hardcode_libdir_flag_spec], [1], [Flag to hardcode $libdir into a binary during linking. 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" >&6; } if test "${lt_cv_nm_interface+set}" = set; 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:__oline__: $ac_compile\"" >&5) (eval "$ac_compile" 2>conftest.err) cat conftest.err >&5 (eval echo "\"\$as_me:__oline__: $NM \\\"conftest.$ac_objext\\\"\"" >&5) (eval "$NM \"conftest.$ac_objext\"" 2>conftest.err > conftest.out) cat conftest.err >&5 (eval echo "\"\$as_me:__oline__: output\"" >&5) cat conftest.out >&5 if $GREP 'External.*some_variable' conftest.out > /dev/null; then lt_cv_nm_interface="MS dumpbin" fi rm -f conftest* fi { $as_echo "$as_me:$LINENO: result: $lt_cv_nm_interface" >&5 $as_echo "$lt_cv_nm_interface" >&6; } { $as_echo "$as_me:$LINENO: checking whether ln -s works" >&5 $as_echo_n "checking whether ln -s works... 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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 $lt_cv_sys_max_cmd_len \* 3` ;; interix*) # We know the value 262144 and hardcode it with a safety zone (like BSD) lt_cv_sys_max_cmd_len=196608 ;; osf*) # Dr. Hans Ekkehard Plesser reports seeing a kernel panic running configure # due to this test when exec_disable_arg_limit is 1 on Tru64. It is not # nice to cause kernel panics so lets avoid the loop below. # First set a reasonable default. lt_cv_sys_max_cmd_len=16384 # if test -x /sbin/sysconfig; then case `/sbin/sysconfig -q proc exec_disable_arg_limit` in *1*) lt_cv_sys_max_cmd_len=-1 ;; esac fi ;; sco3.2v5*) lt_cv_sys_max_cmd_len=102400 ;; sysv5* | sco5v6* | sysv4.2uw2*) kargmax=`grep ARG_MAX /etc/conf/cf.d/stune 2>/dev/null` if test -n "$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"; 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-${CONFIG_SHELL-/bin/sh}} # If test is not a shell built-in, we'll probably end up computing a # maximum length that is only half of the actual maximum length, but # we can't tell. while { test "X"`$SHELL $0 --fallback-echo "X$teststring$teststring" 2>/dev/null` \ = "XX$teststring$teststring"; } >/dev/null 2>&1 && test $i != 17 # 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:$LINENO: result: $lt_cv_sys_max_cmd_len" >&5 $as_echo "$lt_cv_sys_max_cmd_len" >&6; } else { $as_echo "$as_me:$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"} { $as_echo "$as_me:$LINENO: checking whether the shell understands some XSI constructs" >&5 $as_echo_n "checking whether the shell understands some XSI constructs... 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" >&6; } lt_shell_append=no ( foo=bar; set foo baz; eval "$1+=\$2" && test "$foo" = barbaz ) \ >/dev/null 2>&1 \ && lt_shell_append=yes { $as_echo "$as_me:$LINENO: result: $lt_shell_append" >&5 $as_echo "$lt_shell_append" >&6; } 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:$LINENO: checking for $LD option to reload object files" >&5 $as_echo_n "checking for $LD option to reload object files... " >&6; } if test "${lt_cv_ld_reload_flag+set}" = set; then $as_echo_n "(cached) " >&6 else lt_cv_ld_reload_flag='-r' fi { $as_echo "$as_me:$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 $host_os in darwin*) if test "$GCC" = yes; 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:$LINENO: checking for $ac_word" >&5 $as_echo_n "checking for $ac_word... " >&6; } if test "${ac_cv_prog_OBJDUMP+set}" = set; 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 '' $ac_executable_extensions; do if { test -f "$as_dir/$ac_word$ac_exec_ext" && $as_test_x "$as_dir/$ac_word$ac_exec_ext"; }; then ac_cv_prog_OBJDUMP="${ac_tool_prefix}objdump" $as_echo "$as_me:$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:$LINENO: result: $OBJDUMP" >&5 $as_echo "$OBJDUMP" >&6; } else { $as_echo "$as_me:$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:$LINENO: checking for $ac_word" >&5 $as_echo_n "checking for $ac_word... " >&6; } if test "${ac_cv_prog_ac_ct_OBJDUMP+set}" = set; 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 '' $ac_executable_extensions; do if { test -f "$as_dir/$ac_word$ac_exec_ext" && $as_test_x "$as_dir/$ac_word$ac_exec_ext"; }; then ac_cv_prog_ac_ct_OBJDUMP="objdump" $as_echo "$as_me:$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:$LINENO: result: $ac_ct_OBJDUMP" >&5 $as_echo "$ac_ct_OBJDUMP" >&6; } else { $as_echo "$as_me:$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:$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:$LINENO: checking how to recognize dependent libraries" >&5 $as_echo_n "checking how to recognize dependent libraries... " >&6; } if test "${lt_cv_deplibs_check_method+set}" = set; 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 # which 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 $host_os in aix[4-9]*) lt_cv_deplibs_check_method=pass_all ;; beos*) lt_cv_deplibs_check_method=pass_all ;; bsdi[45]*) lt_cv_deplibs_check_method='file_magic ELF [0-9][0-9]*-bit [ML]SB (shared object|dynamic lib)' lt_cv_file_magic_cmd='/usr/bin/file -L' lt_cv_file_magic_test_file=/shlib/libc.so ;; cygwin*) # func_win32_libid is a shell function defined in ltmain.sh lt_cv_deplibs_check_method='file_magic ^x86 archive import|^x86 DLL' lt_cv_file_magic_cmd='func_win32_libid' ;; mingw* | pw32*) # Base MSYS/MinGW do not provide the 'file' command needed by # func_win32_libid shell function, so use a weaker test based on 'objdump', # unless we find 'file', for example because we are cross-compiling. if ( file / ) >/dev/null 2>&1; then lt_cv_deplibs_check_method='file_magic ^x86 archive import|^x86 DLL' lt_cv_file_magic_cmd='func_win32_libid' else lt_cv_deplibs_check_method='file_magic file format pei*-i386(.*architecture: i386)?' lt_cv_file_magic_cmd='$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 ;; gnu*) lt_cv_deplibs_check_method=pass_all ;; hpux10.20* | hpux11*) lt_cv_file_magic_cmd=/usr/bin/file case $host_cpu in ia64*) lt_cv_deplibs_check_method='file_magic (s[0-9][0-9][0-9]|ELF-[0-9][0-9]) shared object file - IA64' lt_cv_file_magic_test_file=/usr/lib/hpux32/libc.so ;; hppa*64*) lt_cv_deplibs_check_method='file_magic (s[0-9][0-9][0-9]|ELF-[0-9][0-9]) shared object file - PA-RISC [0-9].[0-9]' lt_cv_file_magic_test_file=/usr/lib/pa20_64/libc.sl ;; *) lt_cv_deplibs_check_method='file_magic (s[0-9][0-9][0-9]|PA-RISC[0-9].[0-9]) shared library' lt_cv_file_magic_test_file=/usr/lib/libc.sl ;; esac ;; interix[3-9]*) # PIC code is broken on Interix 3.x, that's why |\.a not |_pic\.a here lt_cv_deplibs_check_method='match_pattern /lib[^/]+(\.so|\.a)$' ;; 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 Linux ELF. linux* | k*bsd*-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*) if test -z "`echo __ELF__ | $CC -E - | $GREP __ELF__`" || test "$host_os-$host_cpu" = "openbsd2.8-powerpc"; then lt_cv_deplibs_check_method='match_pattern /lib[^/]+(\.so\.[0-9]+\.[0-9]+|\.so|_pic\.a)$' 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 ;; esac fi { $as_echo "$as_me:$LINENO: result: $lt_cv_deplibs_check_method" >&5 $as_echo "$lt_cv_deplibs_check_method" >&6; } 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}ar", so it can be a program name with args. set dummy ${ac_tool_prefix}ar; ac_word=$2 { $as_echo "$as_me:$LINENO: checking for $ac_word" >&5 $as_echo_n "checking for $ac_word... " >&6; } if test "${ac_cv_prog_AR+set}" = set; 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 '' $ac_executable_extensions; do if { test -f "$as_dir/$ac_word$ac_exec_ext" && $as_test_x "$as_dir/$ac_word$ac_exec_ext"; }; then ac_cv_prog_AR="${ac_tool_prefix}ar" $as_echo "$as_me:$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:$LINENO: result: $AR" >&5 $as_echo "$AR" >&6; } else { $as_echo "$as_me:$LINENO: result: no" >&5 $as_echo "no" >&6; } fi fi if test -z "$ac_cv_prog_AR"; then ac_ct_AR=$AR # Extract the first word of "ar", so it can be a program name with args. set dummy ar; ac_word=$2 { $as_echo "$as_me:$LINENO: checking for $ac_word" >&5 $as_echo_n "checking for $ac_word... " >&6; } if test "${ac_cv_prog_ac_ct_AR+set}" = set; 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 '' $ac_executable_extensions; do if { test -f "$as_dir/$ac_word$ac_exec_ext" && $as_test_x "$as_dir/$ac_word$ac_exec_ext"; }; then ac_cv_prog_ac_ct_AR="ar" $as_echo "$as_me:$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:$LINENO: result: $ac_ct_AR" >&5 $as_echo "$ac_ct_AR" >&6; } else { $as_echo "$as_me:$LINENO: result: no" >&5 $as_echo "no" >&6; } fi if test "x$ac_ct_AR" = x; then AR="false" else case $cross_compiling:$ac_tool_warned in yes:) { $as_echo "$as_me:$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=$ac_ct_AR fi else AR="$ac_cv_prog_AR" fi test -z "$AR" && AR=ar test -z "$AR_FLAGS" && AR_FLAGS=cru 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:$LINENO: checking for $ac_word" >&5 $as_echo_n "checking for $ac_word... " >&6; } if test "${ac_cv_prog_STRIP+set}" = set; 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 '' $ac_executable_extensions; do if { test -f "$as_dir/$ac_word$ac_exec_ext" && $as_test_x "$as_dir/$ac_word$ac_exec_ext"; }; then ac_cv_prog_STRIP="${ac_tool_prefix}strip" $as_echo "$as_me:$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:$LINENO: result: $STRIP" >&5 $as_echo "$STRIP" >&6; } else { $as_echo "$as_me:$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:$LINENO: checking for $ac_word" >&5 $as_echo_n "checking for $ac_word... " >&6; } if test "${ac_cv_prog_ac_ct_STRIP+set}" = set; 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 '' $ac_executable_extensions; do if { test -f "$as_dir/$ac_word$ac_exec_ext" && $as_test_x "$as_dir/$ac_word$ac_exec_ext"; }; then ac_cv_prog_ac_ct_STRIP="strip" $as_echo "$as_me:$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:$LINENO: result: $ac_ct_STRIP" >&5 $as_echo "$ac_ct_STRIP" >&6; } else { $as_echo "$as_me:$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:$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:$LINENO: checking for $ac_word" >&5 $as_echo_n "checking for $ac_word... " >&6; } if test "${ac_cv_prog_RANLIB+set}" = set; 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 '' $ac_executable_extensions; do if { test -f "$as_dir/$ac_word$ac_exec_ext" && $as_test_x "$as_dir/$ac_word$ac_exec_ext"; }; then ac_cv_prog_RANLIB="${ac_tool_prefix}ranlib" $as_echo "$as_me:$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:$LINENO: result: $RANLIB" >&5 $as_echo "$RANLIB" >&6; } else { $as_echo "$as_me:$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:$LINENO: checking for $ac_word" >&5 $as_echo_n "checking for $ac_word... " >&6; } if test "${ac_cv_prog_ac_ct_RANLIB+set}" = set; 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 '' $ac_executable_extensions; do if { test -f "$as_dir/$ac_word$ac_exec_ext" && $as_test_x "$as_dir/$ac_word$ac_exec_ext"; }; then ac_cv_prog_ac_ct_RANLIB="ranlib" $as_echo "$as_me:$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:$LINENO: result: $ac_ct_RANLIB" >&5 $as_echo "$ac_ct_RANLIB" >&6; } else { $as_echo "$as_me:$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:$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 $host_os in openbsd*) old_postinstall_cmds="$old_postinstall_cmds~\$RANLIB -t \$oldlib" ;; *) old_postinstall_cmds="$old_postinstall_cmds~\$RANLIB \$oldlib" ;; esac old_archive_cmds="$old_archive_cmds~\$RANLIB \$oldlib" fi # 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:$LINENO: checking command to parse $NM output from $compiler object" >&5 $as_echo_n "checking command to parse $NM output from $compiler object... " >&6; } if test "${lt_cv_sys_global_symbol_pipe+set}" = set; 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 $host_os in aix*) symcode='[BCDT]' ;; cygwin* | mingw* | pw32* | cegcc*) symcode='[ABCDGISTW]' ;; hpux*) if test "$host_cpu" = ia64; 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 # 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 -e 's/^T .* \(.*\)$/extern int \1();/p' -e 's/^$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 -e 's/^: \([^ ]*\) $/ {\\\"\1\\\", (void *) 0},/p' -e 's/^$symcode* \([^ ]*\) \([^ ]*\)$/ {\"\2\", (void *) \&\2},/p'" lt_cv_sys_global_symbol_to_c_name_address_lib_prefix="sed -n -e 's/^: \([^ ]*\) $/ {\\\"\1\\\", (void *) 0},/p' -e 's/^$symcode* \([^ ]*\) \(lib[^ ]*\)$/ {\"\2\", (void *) \&\2},/p' -e 's/^$symcode* \([^ ]*\) \([^ ]*\)$/ {\"lib\2\", (void *) \&\2},/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 # and D for any global 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};"\ " /Section length .*#relocs.*(pick any)/{hide[last_section]=1};"\ " \$ 0!~/External *\|/{next};"\ " / 0+ UNDEF /{next}; / UNDEF \([^|]\)*()/{next};"\ " {if(hide[section]) next};"\ " {f=0}; \$ 0~/\(\).*\|/{f=1}; {printf f ? \"T \" : \"D \"};"\ " {split(\$ 0, a, /\||\r/); split(a[2], s)};"\ " s[1]~/^[@?]/{print s[1], s[1]; next};"\ " s[1]~prfx {split(s[1],t,\"@\"); print 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$opt_cr$/$symxfrm/p'" fi # Check to see that the pipe works correctly. pipe_works=no rm -f conftest* cat > conftest.$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 "$as_me:$LINENO: \"$ac_compile\"") >&5 (eval $ac_compile) 2>&5 ac_status=$? $as_echo "$as_me:$LINENO: \$? = $ac_status" >&5 (exit $ac_status); }; then # Now try to grab the symbols. nlist=conftest.nm if { (eval echo "$as_me:$LINENO: \"$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:$LINENO: \$? = $ac_status" >&5 (exit $ac_status); } && test -s "$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 #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. */ const struct { const char *name; void *address; } lt__PROGRAM__LTX_preloaded_symbols[] = { { "@PROGRAM@", (void *) 0 }, _LT_EOF $SED "s/^$symcode$symcode* \(.*\) \(.*\)$/ {\"\2\", (void *) \&\2},/" < "$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.$ac_objext lt_save_LIBS="$LIBS" lt_save_CFLAGS="$CFLAGS" LIBS="conftstm.$ac_objext" CFLAGS="$CFLAGS$lt_prog_compiler_no_builtin_flag" if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 (eval $ac_link) 2>&5 ac_status=$? $as_echo "$as_me:$LINENO: \$? = $ac_status" >&5 (exit $ac_status); } && test -s conftest${ac_exeext}; then pipe_works=yes fi LIBS="$lt_save_LIBS" CFLAGS="$lt_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.$ac_ext >&5 fi rm -rf conftest* conftst* # Do not use the global_symbol_pipe unless it works. if test "$pipe_works" = yes; 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:$LINENO: result: failed" >&5 $as_echo "failed" >&6; } else { $as_echo "$as_me:$LINENO: result: ok" >&5 $as_echo "ok" >&6; } fi @%:@ Check whether --enable-libtool-lock was given. if test "${enable_libtool_lock+set}" = set; then enableval=$enable_libtool_lock; fi test "x$enable_libtool_lock" != xno && enable_libtool_lock=yes # Some flags need to be propagated to the compiler or linker for good # libtool support. case $host in ia64-*-hpux*) # Find out which ABI we are using. echo 'int i;' > conftest.$ac_ext if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 (eval $ac_compile) 2>&5 ac_status=$? $as_echo "$as_me:$LINENO: \$? = $ac_status" >&5 (exit $ac_status); }; then case `/usr/bin/file conftest.$ac_objext` in *ELF-32*) HPUX_IA64_MODE="32" ;; *ELF-64*) HPUX_IA64_MODE="64" ;; esac fi rm -rf conftest* ;; *-*-irix6*) # Find out which ABI we are using. echo '#line __oline__ "configure"' > conftest.$ac_ext if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 (eval $ac_compile) 2>&5 ac_status=$? $as_echo "$as_me:$LINENO: \$? = $ac_status" >&5 (exit $ac_status); }; then if test "$lt_cv_prog_gnu_ld" = yes; 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* ;; x86_64-*kfreebsd*-gnu|x86_64-*linux*|ppc*-*linux*|powerpc*-*linux*| \ s390*-*linux*|s390*-*tpf*|sparc*-*linux*) # Find out which ABI we are using. echo 'int i;' > conftest.$ac_ext if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 (eval $ac_compile) 2>&5 ac_status=$? $as_echo "$as_me:$LINENO: \$? = $ac_status" >&5 (exit $ac_status); }; 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*) LD="${LD-ld} -m elf_i386" ;; ppc64-*linux*|powerpc64-*linux*) LD="${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="${LD-ld} -m elf_x86_64" ;; ppc*-*linux*|powerpc*-*linux*) LD="${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:$LINENO: checking whether the C compiler needs -belf" >&5 $as_echo_n "checking whether the C compiler needs -belf... " >&6; } if test "${lt_cv_cc_needs_belf+set}" = set; 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 >conftest.$ac_ext <<_ACEOF /* confdefs.h. */ _ACEOF cat confdefs.h >>conftest.$ac_ext cat >>conftest.$ac_ext <<_ACEOF /* end confdefs.h. */ int main () { ; return 0; } _ACEOF rm -f conftest.$ac_objext conftest$ac_exeext if { (ac_try="$ac_link" case "(($ac_try" in *\"* | *\`* | *\\*) ac_try_echo=\$ac_try;; *) ac_try_echo=$ac_try;; esac eval ac_try_echo="\"\$as_me:$LINENO: $ac_try_echo\"" $as_echo "$ac_try_echo") >&5 (eval "$ac_link") 2>conftest.er1 ac_status=$? grep -v '^ *+' conftest.er1 >conftest.err rm -f conftest.er1 cat conftest.err >&5 $as_echo "$as_me:$LINENO: \$? = $ac_status" >&5 (exit $ac_status); } && { test -z "$ac_c_werror_flag" || test ! -s conftest.err } && test -s conftest$ac_exeext && { test "$cross_compiling" = yes || $as_test_x conftest$ac_exeext }; then lt_cv_cc_needs_belf=yes else $as_echo "$as_me: failed program was:" >&5 sed 's/^/| /' conftest.$ac_ext >&5 lt_cv_cc_needs_belf=no fi rm -rf conftest.dSYM rm -f core conftest.err conftest.$ac_objext conftest_ipa8_conftest.oo \ 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:$LINENO: result: $lt_cv_cc_needs_belf" >&5 $as_echo "$lt_cv_cc_needs_belf" >&6; } if test x"$lt_cv_cc_needs_belf" != x"yes"; then # this is probably gcc 2.8.0, egcs 1.0 or newer; no need for -belf CFLAGS="$SAVE_CFLAGS" fi ;; sparc*-*solaris*) # Find out which ABI we are using. echo 'int i;' > conftest.$ac_ext if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 (eval $ac_compile) 2>&5 ac_status=$? $as_echo "$as_me:$LINENO: \$? = $ac_status" >&5 (exit $ac_status); }; then case `/usr/bin/file conftest.o` in *64-bit*) case $lt_cv_prog_gnu_ld in yes*) LD="${LD-ld} -m elf64_sparc" ;; *) 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" 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:$LINENO: checking for $ac_word" >&5 $as_echo_n "checking for $ac_word... " >&6; } if test "${ac_cv_prog_DSYMUTIL+set}" = set; 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 '' $ac_executable_extensions; do if { test -f "$as_dir/$ac_word$ac_exec_ext" && $as_test_x "$as_dir/$ac_word$ac_exec_ext"; }; then ac_cv_prog_DSYMUTIL="${ac_tool_prefix}dsymutil" $as_echo "$as_me:$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:$LINENO: result: $DSYMUTIL" >&5 $as_echo "$DSYMUTIL" >&6; } else { $as_echo "$as_me:$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:$LINENO: checking for $ac_word" >&5 $as_echo_n "checking for $ac_word... " >&6; } if test "${ac_cv_prog_ac_ct_DSYMUTIL+set}" = set; 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 '' $ac_executable_extensions; do if { test -f "$as_dir/$ac_word$ac_exec_ext" && $as_test_x "$as_dir/$ac_word$ac_exec_ext"; }; then ac_cv_prog_ac_ct_DSYMUTIL="dsymutil" $as_echo "$as_me:$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:$LINENO: result: $ac_ct_DSYMUTIL" >&5 $as_echo "$ac_ct_DSYMUTIL" >&6; } else { $as_echo "$as_me:$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:$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:$LINENO: checking for $ac_word" >&5 $as_echo_n "checking for $ac_word... " >&6; } if test "${ac_cv_prog_NMEDIT+set}" = set; 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 '' $ac_executable_extensions; do if { test -f "$as_dir/$ac_word$ac_exec_ext" && $as_test_x "$as_dir/$ac_word$ac_exec_ext"; }; then ac_cv_prog_NMEDIT="${ac_tool_prefix}nmedit" $as_echo "$as_me:$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:$LINENO: result: $NMEDIT" >&5 $as_echo "$NMEDIT" >&6; } else { $as_echo "$as_me:$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:$LINENO: checking for $ac_word" >&5 $as_echo_n "checking for $ac_word... " >&6; } if test "${ac_cv_prog_ac_ct_NMEDIT+set}" = set; 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 '' $ac_executable_extensions; do if { test -f "$as_dir/$ac_word$ac_exec_ext" && $as_test_x "$as_dir/$ac_word$ac_exec_ext"; }; then ac_cv_prog_ac_ct_NMEDIT="nmedit" $as_echo "$as_me:$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:$LINENO: result: $ac_ct_NMEDIT" >&5 $as_echo "$ac_ct_NMEDIT" >&6; } else { $as_echo "$as_me:$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:$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:$LINENO: checking for $ac_word" >&5 $as_echo_n "checking for $ac_word... " >&6; } if test "${ac_cv_prog_LIPO+set}" = set; 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 '' $ac_executable_extensions; do if { test -f "$as_dir/$ac_word$ac_exec_ext" && $as_test_x "$as_dir/$ac_word$ac_exec_ext"; }; then ac_cv_prog_LIPO="${ac_tool_prefix}lipo" $as_echo "$as_me:$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:$LINENO: result: $LIPO" >&5 $as_echo "$LIPO" >&6; } else { $as_echo "$as_me:$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:$LINENO: checking for $ac_word" >&5 $as_echo_n "checking for $ac_word... " >&6; } if test "${ac_cv_prog_ac_ct_LIPO+set}" = set; 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 '' $ac_executable_extensions; do if { test -f "$as_dir/$ac_word$ac_exec_ext" && $as_test_x "$as_dir/$ac_word$ac_exec_ext"; }; then ac_cv_prog_ac_ct_LIPO="lipo" $as_echo "$as_me:$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:$LINENO: result: $ac_ct_LIPO" >&5 $as_echo "$ac_ct_LIPO" >&6; } else { $as_echo "$as_me:$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:$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:$LINENO: checking for $ac_word" >&5 $as_echo_n "checking for $ac_word... " >&6; } if test "${ac_cv_prog_OTOOL+set}" = set; 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 '' $ac_executable_extensions; do if { test -f "$as_dir/$ac_word$ac_exec_ext" && $as_test_x "$as_dir/$ac_word$ac_exec_ext"; }; then ac_cv_prog_OTOOL="${ac_tool_prefix}otool" $as_echo "$as_me:$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:$LINENO: result: $OTOOL" >&5 $as_echo "$OTOOL" >&6; } else { $as_echo "$as_me:$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:$LINENO: checking for $ac_word" >&5 $as_echo_n "checking for $ac_word... " >&6; } if test "${ac_cv_prog_ac_ct_OTOOL+set}" = set; 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 '' $ac_executable_extensions; do if { test -f "$as_dir/$ac_word$ac_exec_ext" && $as_test_x "$as_dir/$ac_word$ac_exec_ext"; }; then ac_cv_prog_ac_ct_OTOOL="otool" $as_echo "$as_me:$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:$LINENO: result: $ac_ct_OTOOL" >&5 $as_echo "$ac_ct_OTOOL" >&6; } else { $as_echo "$as_me:$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:$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:$LINENO: checking for $ac_word" >&5 $as_echo_n "checking for $ac_word... " >&6; } if test "${ac_cv_prog_OTOOL64+set}" = set; 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 '' $ac_executable_extensions; do if { test -f "$as_dir/$ac_word$ac_exec_ext" && $as_test_x "$as_dir/$ac_word$ac_exec_ext"; }; then ac_cv_prog_OTOOL64="${ac_tool_prefix}otool64" $as_echo "$as_me:$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:$LINENO: result: $OTOOL64" >&5 $as_echo "$OTOOL64" >&6; } else { $as_echo "$as_me:$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:$LINENO: checking for $ac_word" >&5 $as_echo_n "checking for $ac_word... " >&6; } if test "${ac_cv_prog_ac_ct_OTOOL64+set}" = set; 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 '' $ac_executable_extensions; do if { test -f "$as_dir/$ac_word$ac_exec_ext" && $as_test_x "$as_dir/$ac_word$ac_exec_ext"; }; then ac_cv_prog_ac_ct_OTOOL64="otool64" $as_echo "$as_me:$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:$LINENO: result: $ac_ct_OTOOL64" >&5 $as_echo "$ac_ct_OTOOL64" >&6; } else { $as_echo "$as_me:$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:$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:$LINENO: checking for -single_module linker flag" >&5 $as_echo_n "checking for -single_module linker flag... " >&6; } if test "${lt_cv_apple_cc_single_mod+set}" = set; then $as_echo_n "(cached) " >&6 else lt_cv_apple_cc_single_mod=no if test -z "${LT_MULTI_MODULE}"; then # By default we will add the -single_module flag. You can override # by either setting the environment variable LT_MULTI_MODULE # non-empty at configure time, or by adding -multi_module to the # link flags. rm -rf libconftest.dylib* echo "int foo(void){return 1;}" > conftest.c echo "$LTCC $LTCFLAGS $LDFLAGS -o libconftest.dylib \ -dynamiclib -Wl,-single_module conftest.c" >&5 $LTCC $LTCFLAGS $LDFLAGS -o libconftest.dylib \ -dynamiclib -Wl,-single_module conftest.c 2>conftest.err _lt_result=$? if test -f libconftest.dylib && test ! -s conftest.err && test $_lt_result = 0; then lt_cv_apple_cc_single_mod=yes else cat conftest.err >&5 fi rm -rf libconftest.dylib* rm -f conftest.* fi fi { $as_echo "$as_me:$LINENO: result: $lt_cv_apple_cc_single_mod" >&5 $as_echo "$lt_cv_apple_cc_single_mod" >&6; } { $as_echo "$as_me:$LINENO: checking for -exported_symbols_list linker flag" >&5 $as_echo_n "checking for -exported_symbols_list linker flag... " >&6; } if test "${lt_cv_ld_exported_symbols_list+set}" = set; then $as_echo_n "(cached) " >&6 else lt_cv_ld_exported_symbols_list=no save_LDFLAGS=$LDFLAGS echo "_main" > conftest.sym LDFLAGS="$LDFLAGS -Wl,-exported_symbols_list,conftest.sym" cat >conftest.$ac_ext <<_ACEOF /* confdefs.h. */ _ACEOF cat confdefs.h >>conftest.$ac_ext cat >>conftest.$ac_ext <<_ACEOF /* end confdefs.h. */ int main () { ; return 0; } _ACEOF rm -f conftest.$ac_objext conftest$ac_exeext if { (ac_try="$ac_link" case "(($ac_try" in *\"* | *\`* | *\\*) ac_try_echo=\$ac_try;; *) ac_try_echo=$ac_try;; esac eval ac_try_echo="\"\$as_me:$LINENO: $ac_try_echo\"" $as_echo "$ac_try_echo") >&5 (eval "$ac_link") 2>conftest.er1 ac_status=$? grep -v '^ *+' conftest.er1 >conftest.err rm -f conftest.er1 cat conftest.err >&5 $as_echo "$as_me:$LINENO: \$? = $ac_status" >&5 (exit $ac_status); } && { test -z "$ac_c_werror_flag" || test ! -s conftest.err } && test -s conftest$ac_exeext && { test "$cross_compiling" = yes || $as_test_x conftest$ac_exeext }; then lt_cv_ld_exported_symbols_list=yes else $as_echo "$as_me: failed program was:" >&5 sed 's/^/| /' conftest.$ac_ext >&5 lt_cv_ld_exported_symbols_list=no fi rm -rf conftest.dSYM rm -f core conftest.err conftest.$ac_objext conftest_ipa8_conftest.oo \ conftest$ac_exeext conftest.$ac_ext LDFLAGS="$save_LDFLAGS" fi { $as_echo "$as_me:$LINENO: result: $lt_cv_ld_exported_symbols_list" >&5 $as_echo "$lt_cv_ld_exported_symbols_list" >&6; } case $host_os in rhapsody* | darwin1.[012]) _lt_dar_allow_undefined='${wl}-undefined ${wl}suppress' ;; darwin1.*) _lt_dar_allow_undefined='${wl}-flat_namespace ${wl}-undefined ${wl}suppress' ;; darwin*) # darwin 5.x on # if running on 10.5 or later, the deployment target defaults # to the OS version, if on x86, and 10.4, the deployment # target defaults to 10.4. Don't you love it? case ${MACOSX_DEPLOYMENT_TARGET-10.0},$host in 10.0,*86*-darwin8*|10.0,*-darwin[91]*) _lt_dar_allow_undefined='${wl}-undefined ${wl}dynamic_lookup' ;; 10.[012]*) _lt_dar_allow_undefined='${wl}-flat_namespace ${wl}-undefined ${wl}suppress' ;; 10.*) _lt_dar_allow_undefined='${wl}-undefined ${wl}dynamic_lookup' ;; esac ;; esac if test "$lt_cv_apple_cc_single_mod" = "yes"; then _lt_dar_single_mod='$single_module' fi if test "$lt_cv_ld_exported_symbols_list" = "yes"; then _lt_dar_export_syms=' ${wl}-exported_symbols_list,$output_objdir/${libname}-symbols.expsym' else _lt_dar_export_syms='~$NMEDIT -s $output_objdir/${libname}-symbols.expsym ${lib}' fi if test "$DSYMUTIL" != ":"; then _lt_dsymutil='~$DSYMUTIL $lib || :' else _lt_dsymutil= fi ;; esac ac_ext=c ac_cpp='$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 { $as_echo "$as_me:$LINENO: checking how to run the C preprocessor" >&5 $as_echo_n "checking how to run the C preprocessor... " >&6; } # On Suns, sometimes $CPP names a directory. if test -n "$CPP" && test -d "$CPP"; then CPP= fi if test -z "$CPP"; then if test "${ac_cv_prog_CPP+set}" = set; then $as_echo_n "(cached) " >&6 else # Double quotes because CPP needs to be expanded for CPP in "$CC -E" "$CC -E -traditional-cpp" "/lib/cpp" do ac_preproc_ok=false for ac_c_preproc_warn_flag in '' yes do # Use a header file that comes with gcc, so configuring glibc # with a fresh cross-compiler works. # Prefer to if __STDC__ is defined, since # exists even on freestanding compilers. # On the NeXT, cc -E runs the code through the compiler's parser, # not just through cpp. "Syntax error" is here to catch this case. cat >conftest.$ac_ext <<_ACEOF /* confdefs.h. */ _ACEOF cat confdefs.h >>conftest.$ac_ext cat >>conftest.$ac_ext <<_ACEOF /* end confdefs.h. */ @%:@ifdef __STDC__ @%:@ include @%:@else @%:@ include @%:@endif Syntax error _ACEOF if { (ac_try="$ac_cpp conftest.$ac_ext" case "(($ac_try" in *\"* | *\`* | *\\*) ac_try_echo=\$ac_try;; *) ac_try_echo=$ac_try;; esac eval ac_try_echo="\"\$as_me:$LINENO: $ac_try_echo\"" $as_echo "$ac_try_echo") >&5 (eval "$ac_cpp conftest.$ac_ext") 2>conftest.er1 ac_status=$? grep -v '^ *+' conftest.er1 >conftest.err rm -f conftest.er1 cat conftest.err >&5 $as_echo "$as_me:$LINENO: \$? = $ac_status" >&5 (exit $ac_status); } >/dev/null && { test -z "$ac_c_preproc_warn_flag$ac_c_werror_flag" || test ! -s conftest.err }; then : else $as_echo "$as_me: failed program was:" >&5 sed 's/^/| /' conftest.$ac_ext >&5 # Broken: fails on valid input. continue fi rm -f conftest.err conftest.$ac_ext # OK, works on sane cases. 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" >&6; } if test "${lt_cv_prog_compiler_rtti_exceptions+set}" = set; then $as_echo_n "(cached) " >&6 else lt_cv_prog_compiler_rtti_exceptions=no ac_outfile=conftest.$ac_objext echo "$lt_simple_compile_test_code" > conftest.$ac_ext lt_compiler_flag="-fno-rtti -fno-exceptions" # Insert the option either (1) after the last *FLAGS variable, or # (2) before a word containing "conftest.", or (3) at the end. # Note that $ac_compile itself does not contain backslashes and begins # with a dollar sign (not a hyphen), so the echo should work correctly. # The option is referenced via a variable to avoid confusing sed. lt_compile=`echo "$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:__oline__: $lt_compile\"" >&5) (eval "$lt_compile" 2>conftest.err) ac_status=$? cat conftest.err >&5 echo "$as_me:__oline__: \$? = $ac_status" >&5 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. $ECHO "X$_lt_compiler_boilerplate" | $Xsed -e '/^$/d' >conftest.exp $SED '/^$/d; /^ *+/d' conftest.err >conftest.er2 if test ! -s conftest.er2 || diff conftest.exp conftest.er2 >/dev/null; then lt_cv_prog_compiler_rtti_exceptions=yes fi fi $RM conftest* fi { $as_echo "$as_me:$LINENO: result: $lt_cv_prog_compiler_rtti_exceptions" >&5 $as_echo "$lt_cv_prog_compiler_rtti_exceptions" >&6; } if test x"$lt_cv_prog_compiler_rtti_exceptions" = xyes; then lt_prog_compiler_no_builtin_flag="$lt_prog_compiler_no_builtin_flag -fno-rtti -fno-exceptions" else : fi fi lt_prog_compiler_wl= lt_prog_compiler_pic= lt_prog_compiler_static= { $as_echo "$as_me:$LINENO: checking for $compiler option to produce PIC" >&5 $as_echo_n "checking for $compiler option to produce PIC... " >&6; } if test "$GCC" = yes; then lt_prog_compiler_wl='-Wl,' lt_prog_compiler_static='-static' case $host_os in aix*) # All AIX code is PIC. if test "$host_cpu" = ia64; then # AIX 5 now supports IA64 processor lt_prog_compiler_static='-Bstatic' fi ;; amigaos*) case $host_cpu in powerpc) # see comment about AmigaOS4 .so support lt_prog_compiler_pic='-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_prog_compiler_pic='-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 lt_prog_compiler_pic='-DDLL_EXPORT' ;; darwin* | rhapsody*) # PIC is the default on this platform # Common symbols not allowed in MH_DYLIB files lt_prog_compiler_pic='-fno-common' ;; hpux*) # PIC is the default for 64-bit PA HP-UX, but not for 32-bit # PA HP-UX. 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If you *** really care for shared libraries, you may want to modify your PATH *** so that a non-GNU linker is found, and then restart. _LT_EOF 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 $lib' archive_expsym_cmds='' ;; m68k) archive_cmds='$RM $output_objdir/a2ixlibrary.data~$ECHO "#define NAME $libname" > $output_objdir/a2ixlibrary.data~$ECHO "#define LIBRARY_ID 1" >> $output_objdir/a2ixlibrary.data~$ECHO "#define VERSION $major" >> $output_objdir/a2ixlibrary.data~$ECHO "#define REVISION $revision" >> $output_objdir/a2ixlibrary.data~$AR $AR_FLAGS $lib $libobjs~$RANLIB $lib~(cd $output_objdir && a2ixlibrary -32)' hardcode_libdir_flag_spec='-L$libdir' hardcode_minus_L=yes ;; esac ;; beos*) if $LD --help 2>&1 | $GREP ': supported targets:.* elf' > /dev/null; then allow_undefined_flag=unsupported # Joseph Beckenbach says some releases of gcc # support --undefined. This deserves some investigation. FIXME archive_cmds='$CC -nostart $libobjs $deplibs $compiler_flags ${wl}-soname $wl$soname -o $lib' else ld_shlibs=no fi ;; cygwin* | mingw* | pw32* | cegcc*) # _LT_TAGVAR(hardcode_libdir_flag_spec, ) is actually meaningless, # as there is no search path for DLLs. hardcode_libdir_flag_spec='-L$libdir' allow_undefined_flag=unsupported always_export_symbols=no enable_shared_with_static_runtimes=yes export_symbols_cmds='$NM $libobjs $convenience | $global_symbol_pipe | $SED -e '\''/^[BCDGRS][ ]/s/.*[ ]\([^ ]*\)/\1 DATA/'\'' | $SED -e '\''/^[AITW][ ]/s/.*[ ]//'\'' | sort | uniq > $export_symbols' if $LD --help 2>&1 | $GREP 'auto-import' > /dev/null; then archive_cmds='$CC -shared $libobjs $deplibs $compiler_flags -o $output_objdir/$soname ${wl}--enable-auto-image-base -Xlinker --out-implib -Xlinker $lib' # If the export-symbols file already is a .def file (1st line # is EXPORTS), use it as is; otherwise, prepend... archive_expsym_cmds='if test "x`$SED 1q $export_symbols`" = xEXPORTS; then cp $export_symbols $output_objdir/$soname.def; else echo EXPORTS > $output_objdir/$soname.def; cat $export_symbols >> $output_objdir/$soname.def; fi~ $CC -shared $output_objdir/$soname.def $libobjs $deplibs $compiler_flags -o $output_objdir/$soname ${wl}--enable-auto-image-base -Xlinker --out-implib -Xlinker $lib' else ld_shlibs=no fi ;; interix[3-9]*) hardcode_direct=no hardcode_shlibpath_var=no hardcode_libdir_flag_spec='${wl}-rpath,$libdir' export_dynamic_flag_spec='${wl}-E' # Hack: On Interix 3.x, we cannot compile PIC because of a broken gcc. # Instead, shared libraries are loaded at an image base (0x10000000 by # default) and relocated if they conflict, which is a slow very memory # consuming and fragmenting process. To avoid this, we pick a random, # 256 KiB-aligned image base between 0x50000000 and 0x6FFC0000 at link # time. Moving up from 0x10000000 also allows more sbrk(2) space. archive_cmds='$CC -shared $pic_flag $libobjs $deplibs $compiler_flags ${wl}-h,$soname ${wl}--image-base,`expr ${RANDOM-$$} % 4096 / 2 \* 262144 + 1342177280` -o $lib' archive_expsym_cmds='sed "s,^,_," $export_symbols >$output_objdir/$soname.expsym~$CC -shared $pic_flag $libobjs $deplibs $compiler_flags ${wl}-h,$soname ${wl}--retain-symbols-file,$output_objdir/$soname.expsym ${wl}--image-base,`expr ${RANDOM-$$} % 4096 / 2 \* 262144 + 1342177280` -o $lib' ;; gnu* | linux* | tpf* | k*bsd*-gnu) tmp_diet=no if test "$host_os" = linux-dietlibc; then case $cc_basename in diet\ *) tmp_diet=yes;; # linux-dietlibc with static linking (!diet-dyn) esac fi if $LD --help 2>&1 | $EGREP ': supported targets:.* elf' > /dev/null \ && test "$tmp_diet" = no then tmp_addflag= tmp_sharedflag='-shared' case $cc_basename,$host_cpu in pgcc*) # Portland Group C compiler whole_archive_flag_spec='${wl}--whole-archive`for conv in $convenience\"\"; do test -n \"$conv\" && new_convenience=\"$new_convenience,$conv\"; done; $ECHO \"$new_convenience\"` ${wl}--no-whole-archive' tmp_addflag=' $pic_flag' ;; pgf77* | pgf90* | pgf95*) # Portland Group f77 and f90 compilers whole_archive_flag_spec='${wl}--whole-archive`for conv in $convenience\"\"; do test -n \"$conv\" && new_convenience=\"$new_convenience,$conv\"; done; $ECHO \"$new_convenience\"` ${wl}--no-whole-archive' tmp_addflag=' $pic_flag -Mnomain' ;; ecc*,ia64* | icc*,ia64*) # Intel C compiler on ia64 tmp_addflag=' -i_dynamic' ;; efc*,ia64* | ifort*,ia64*) # Intel Fortran compiler on ia64 tmp_addflag=' -i_dynamic -nofor_main' ;; ifc* | ifort*) # Intel Fortran compiler tmp_addflag=' -nofor_main' ;; lf95*) # Lahey Fortran 8.1 whole_archive_flag_spec= tmp_sharedflag='--shared' ;; xl[cC]*) # IBM XL C 8.0 on PPC (deal with xlf below) tmp_sharedflag='-qmkshrobj' tmp_addflag= ;; esac case `$CC -V 2>&1 | sed 5q` in *Sun\ C*) # Sun C 5.9 whole_archive_flag_spec='${wl}--whole-archive`new_convenience=; for conv in $convenience\"\"; do test -z \"$conv\" || new_convenience=\"$new_convenience,$conv\"; done; $ECHO \"$new_convenience\"` ${wl}--no-whole-archive' compiler_needs_object=yes tmp_sharedflag='-G' ;; *Sun\ F*) # Sun Fortran 8.3 tmp_sharedflag='-G' ;; esac archive_cmds='$CC '"$tmp_sharedflag""$tmp_addflag"' $libobjs $deplibs $compiler_flags ${wl}-soname $wl$soname -o $lib' if test "x$supports_anon_versioning" = xyes; then archive_expsym_cmds='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 $cc_basename in xlf*) # IBM XL Fortran 10.1 on PPC cannot create shared libs itself whole_archive_flag_spec='--whole-archive$convenience --no-whole-archive' hardcode_libdir_flag_spec= hardcode_libdir_flag_spec_ld='-rpath $libdir' archive_cmds='$LD -shared $libobjs $deplibs $compiler_flags -soname $soname -o $lib' if test "x$supports_anon_versioning" = xyes; then archive_expsym_cmds='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 $compiler_flags -soname $soname -version-script $output_objdir/$libname.ver -o $lib' fi ;; esac else ld_shlibs=no fi ;; netbsd*) if echo __ELF__ | $CC -E - | $GREP __ELF__ >/dev/null; then archive_cmds='$LD -Bshareable $libobjs $deplibs $linker_flags -o $lib' wlarc= else archive_cmds='$CC -shared $libobjs $deplibs $compiler_flags ${wl}-soname $wl$soname -o $lib' archive_expsym_cmds='$CC -shared $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 ld_shlibs=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 | $GREP ': supported targets:.* elf' > /dev/null; then archive_cmds='$CC -shared $libobjs $deplibs $compiler_flags ${wl}-soname $wl$soname -o $lib' archive_expsym_cmds='$CC -shared $libobjs $deplibs $compiler_flags ${wl}-soname $wl$soname ${wl}-retain-symbols-file $wl$export_symbols -o $lib' else ld_shlibs=no fi ;; sysv5* | sco3.2v5* | sco5v6* | unixware* | OpenUNIX*) case `$LD -v 2>&1` in *\ [01].* | *\ 2.[0-9].* | *\ 2.1[0-5].*) ld_shlibs=no cat <<_LT_EOF 1>&2 *** Warning: Releases of the GNU linker prior to 2.16.91.0.3 can not *** 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. 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The following line is correct: shared_flag='-G' else if test "$aix_use_runtimelinking" = yes; then shared_flag='${wl}-G' else shared_flag='${wl}-bM:SRE' fi fi fi export_dynamic_flag_spec='${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 "$aix_use_runtimelinking" = yes; then # Warning - without using the other runtime loading flags (-brtl), # -berok will link without error, but may produce a broken library. allow_undefined_flag='-berok' # Determine the default libpath from the value encoded in an # empty executable. cat >conftest.$ac_ext <<_ACEOF /* confdefs.h. */ _ACEOF cat confdefs.h >>conftest.$ac_ext cat >>conftest.$ac_ext <<_ACEOF /* end confdefs.h. */ int main () { ; return 0; } _ACEOF rm -f conftest.$ac_objext conftest$ac_exeext if { (ac_try="$ac_link" case "(($ac_try" in *\"* | *\`* | *\\*) ac_try_echo=\$ac_try;; *) ac_try_echo=$ac_try;; esac eval ac_try_echo="\"\$as_me:$LINENO: $ac_try_echo\"" $as_echo "$ac_try_echo") >&5 (eval "$ac_link") 2>conftest.er1 ac_status=$? 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Future versions do this automatically, but an explicit c++rt0.o # does not break anything, and helps significantly (at the cost of a little # extra space). freebsd2.2*) archive_cmds='$LD -Bshareable -o $lib $libobjs $deplibs $linker_flags /usr/lib/c++rt0.o' hardcode_libdir_flag_spec='-R$libdir' hardcode_direct=yes hardcode_shlibpath_var=no ;; # Unfortunately, older versions of FreeBSD 2 do not have this feature. freebsd2*) archive_cmds='$LD -Bshareable -o $lib $libobjs $deplibs $linker_flags' hardcode_direct=yes hardcode_minus_L=yes hardcode_shlibpath_var=no ;; # FreeBSD 3 and greater uses gcc -shared to do shared libraries. freebsd* | dragonfly*) archive_cmds='$CC -shared -o $lib $libobjs $deplibs $compiler_flags' hardcode_libdir_flag_spec='-R$libdir' hardcode_direct=yes hardcode_shlibpath_var=no ;; hpux9*) if test "$GCC" = yes; then archive_cmds='$RM $output_objdir/$soname~$CC -shared -fPIC ${wl}+b ${wl}$install_libdir -o $output_objdir/$soname $libobjs $deplibs $compiler_flags~test $output_objdir/$soname = $lib || mv $output_objdir/$soname $lib' else archive_cmds='$RM $output_objdir/$soname~$LD -b +b $install_libdir -o $output_objdir/$soname $libobjs $deplibs $linker_flags~test $output_objdir/$soname = $lib || mv $output_objdir/$soname $lib' fi hardcode_libdir_flag_spec='${wl}+b ${wl}$libdir' hardcode_libdir_separator=: hardcode_direct=yes # hardcode_minus_L: Not really in the search PATH, # but as the default location of the library. hardcode_minus_L=yes export_dynamic_flag_spec='${wl}-E' ;; hpux10*) if test "$GCC" = yes -a "$with_gnu_ld" = no; then archive_cmds='$CC -shared -fPIC ${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 $linker_flags' fi if test "$with_gnu_ld" = no; then hardcode_libdir_flag_spec='${wl}+b ${wl}$libdir' hardcode_libdir_flag_spec_ld='+b $libdir' hardcode_libdir_separator=: hardcode_direct=yes hardcode_direct_absolute=yes export_dynamic_flag_spec='${wl}-E' # hardcode_minus_L: Not really in the search PATH, # but as the default location of the library. hardcode_minus_L=yes fi ;; hpux11*) if test "$GCC" = yes -a "$with_gnu_ld" = no; then case $host_cpu in hppa*64*) archive_cmds='$CC -shared ${wl}+h ${wl}$soname -o $lib $libobjs $deplibs $compiler_flags' ;; ia64*) archive_cmds='$CC -shared -fPIC ${wl}+h ${wl}$soname ${wl}+nodefaultrpath -o $lib $libobjs $deplibs $compiler_flags' ;; *) archive_cmds='$CC -shared -fPIC ${wl}+h ${wl}$soname ${wl}+b ${wl}$install_libdir -o $lib $libobjs $deplibs $compiler_flags' ;; esac else case $host_cpu in hppa*64*) archive_cmds='$CC -b ${wl}+h ${wl}$soname -o $lib $libobjs $deplibs $compiler_flags' ;; ia64*) archive_cmds='$CC -b ${wl}+h ${wl}$soname ${wl}+nodefaultrpath -o $lib $libobjs $deplibs $compiler_flags' ;; *) archive_cmds='$CC -b ${wl}+h ${wl}$soname ${wl}+b ${wl}$install_libdir -o $lib $libobjs $deplibs $compiler_flags' ;; esac fi if test "$with_gnu_ld" = no; 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 "$GCC" = yes; then archive_cmds='$CC -shared $libobjs $deplibs $compiler_flags ${wl}-soname ${wl}$soname `test -n "$verstring" && $ECHO "X${wl}-set_version ${wl}$verstring" | $Xsed` ${wl}-update_registry ${wl}${output_objdir}/so_locations -o $lib' # Try to use the -exported_symbol ld option, if it does not # work, assume that -exports_file does not work either and # implicitly export all symbols. save_LDFLAGS="$LDFLAGS" LDFLAGS="$LDFLAGS -shared ${wl}-exported_symbol ${wl}foo ${wl}-update_registry ${wl}/dev/null" cat >conftest.$ac_ext <<_ACEOF int foo(void) {} _ACEOF rm -f conftest.$ac_objext conftest$ac_exeext if { (ac_try="$ac_link" case "(($ac_try" in *\"* | *\`* | *\\*) ac_try_echo=\$ac_try;; *) ac_try_echo=$ac_try;; esac eval ac_try_echo="\"\$as_me:$LINENO: $ac_try_echo\"" $as_echo "$ac_try_echo") >&5 (eval "$ac_link") 2>conftest.er1 ac_status=$? grep -v '^ *+' conftest.er1 >conftest.err rm -f conftest.er1 cat conftest.err >&5 $as_echo "$as_me:$LINENO: \$? = $ac_status" >&5 (exit $ac_status); } && { test -z "$ac_c_werror_flag" || test ! -s conftest.err } && test -s conftest$ac_exeext && { test "$cross_compiling" = yes || $as_test_x conftest$ac_exeext }; then archive_expsym_cmds='$CC -shared $libobjs $deplibs $compiler_flags ${wl}-soname ${wl}$soname `test -n "$verstring" && $ECHO "X${wl}-set_version ${wl}$verstring" | $Xsed` ${wl}-update_registry ${wl}${output_objdir}/so_locations ${wl}-exports_file ${wl}$export_symbols -o $lib' else $as_echo "$as_me: failed program was:" >&5 sed 's/^/| /' conftest.$ac_ext >&5 fi rm -rf conftest.dSYM rm -f core conftest.err conftest.$ac_objext conftest_ipa8_conftest.oo \ conftest$ac_exeext conftest.$ac_ext LDFLAGS="$save_LDFLAGS" else archive_cmds='$CC -shared $libobjs $deplibs $compiler_flags -soname $soname `test -n "$verstring" && $ECHO "X-set_version $verstring" | $Xsed` -update_registry ${output_objdir}/so_locations -o $lib' archive_expsym_cmds='$CC -shared $libobjs $deplibs $compiler_flags -soname $soname `test -n "$verstring" && $ECHO "X-set_version $verstring" | $Xsed` -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 ;; 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*) 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 - | $GREP __ELF__`" || test "$host_os-$host_cpu" = "openbsd2.8-powerpc"; then archive_cmds='$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 case $host_os in openbsd[01].* | openbsd2.[0-7] | openbsd2.[0-7].*) archive_cmds='$LD -Bshareable -o $lib $libobjs $deplibs $linker_flags' hardcode_libdir_flag_spec='-R$libdir' ;; *) archive_cmds='$CC -shared $pic_flag -o $lib $libobjs $deplibs $compiler_flags' hardcode_libdir_flag_spec='${wl}-rpath,$libdir' ;; esac fi else ld_shlibs=no fi ;; os2*) hardcode_libdir_flag_spec='-L$libdir' hardcode_minus_L=yes allow_undefined_flag=unsupported archive_cmds='$ECHO "LIBRARY $libname INITINSTANCE" > $output_objdir/$libname.def~$ECHO "DESCRIPTION \"$libname\"" >> $output_objdir/$libname.def~$ECHO DATA >> $output_objdir/$libname.def~$ECHO " SINGLE NONSHARED" >> $output_objdir/$libname.def~$ECHO EXPORTS >> $output_objdir/$libname.def~emxexp $libobjs >> $output_objdir/$libname.def~$CC -Zdll -Zcrtdll -o $lib $libobjs $deplibs $compiler_flags $output_objdir/$libname.def' old_archive_from_new_cmds='emximp -o $output_objdir/$libname.a $output_objdir/$libname.def' ;; osf3*) if test "$GCC" = yes; 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" && $ECHO "X${wl}-set_version ${wl}$verstring" | $Xsed` ${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" && $ECHO "X-set_version $verstring" | $Xsed` -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=: ;; 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solaris*) no_undefined_flag=' -z defs' if test "$GCC" = yes; then wlarc='${wl}' archive_cmds='$CC -shared ${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 ${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 $host_os in solaris2.[0-5] | solaris2.[0-5].*) ;; *) # The compiler driver will combine and reorder linker options, # but understands `-z linker_flag'. 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postinstall_cmds='`$ECHO "X$postinstall_cmds" | $Xsed -e "$delay_single_quote_subst"`' postuninstall_cmds='`$ECHO "X$postuninstall_cmds" | $Xsed -e "$delay_single_quote_subst"`' finish_cmds='`$ECHO "X$finish_cmds" | $Xsed -e "$delay_single_quote_subst"`' finish_eval='`$ECHO "X$finish_eval" | $Xsed -e "$delay_single_quote_subst"`' hardcode_into_libs='`$ECHO "X$hardcode_into_libs" | $Xsed -e "$delay_single_quote_subst"`' sys_lib_search_path_spec='`$ECHO "X$sys_lib_search_path_spec" | $Xsed -e "$delay_single_quote_subst"`' sys_lib_dlsearch_path_spec='`$ECHO "X$sys_lib_dlsearch_path_spec" | $Xsed -e "$delay_single_quote_subst"`' hardcode_action='`$ECHO "X$hardcode_action" | $Xsed -e "$delay_single_quote_subst"`' enable_dlopen='`$ECHO "X$enable_dlopen" | $Xsed -e "$delay_single_quote_subst"`' enable_dlopen_self='`$ECHO "X$enable_dlopen_self" | $Xsed -e "$delay_single_quote_subst"`' enable_dlopen_self_static='`$ECHO "X$enable_dlopen_self_static" | $Xsed -e "$delay_single_quote_subst"`' 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" >&6; } LN_S=$as_ln_s if test "$LN_S" = "ln -s"; then { $as_echo "$as_me:$LINENO: result: yes" >&5 $as_echo "yes" >&6; } else { $as_echo "$as_me:$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:$LINENO: checking the maximum length of command line arguments" >&5 $as_echo_n "checking the maximum length of command line arguments... " >&6; } if test "${lt_cv_sys_max_cmd_len+set}" = set; 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; ;; 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; ;; netbsd* | freebsd* | openbsd* | darwin* | dragonfly*) # 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 $lt_cv_sys_max_cmd_len \* 3` ;; interix*) # We know the value 262144 and hardcode it with a safety zone (like BSD) lt_cv_sys_max_cmd_len=196608 ;; osf*) # Dr. Hans Ekkehard Plesser reports seeing a kernel panic running configure # due to this test when exec_disable_arg_limit is 1 on Tru64. It is not # nice to cause kernel panics so lets avoid the loop below. # First set a reasonable default. lt_cv_sys_max_cmd_len=16384 # if test -x /sbin/sysconfig; then case `/sbin/sysconfig -q proc exec_disable_arg_limit` in *1*) lt_cv_sys_max_cmd_len=-1 ;; esac fi ;; sco3.2v5*) lt_cv_sys_max_cmd_len=102400 ;; sysv5* | sco5v6* | sysv4.2uw2*) kargmax=`grep ARG_MAX /etc/conf/cf.d/stune 2>/dev/null` if test -n "$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"; 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-${CONFIG_SHELL-/bin/sh}} # If test is not a shell built-in, we'll probably end up computing a # maximum length that is only half of the actual maximum length, but # we can't tell. while { test "X"`$SHELL $0 --fallback-echo "X$teststring$teststring" 2>/dev/null` \ = "XX$teststring$teststring"; } >/dev/null 2>&1 && test $i != 17 # 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:$LINENO: result: $lt_cv_sys_max_cmd_len" >&5 $as_echo "$lt_cv_sys_max_cmd_len" >&6; } else { $as_echo "$as_me:$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"} { $as_echo "$as_me:$LINENO: checking whether the shell understands some XSI constructs" >&5 $as_echo_n "checking whether the shell understands some XSI constructs... " >&6; } # Try some XSI features xsi_shell=no ( _lt_dummy="a/b/c" test "${_lt_dummy##*/},${_lt_dummy%/*},"${_lt_dummy%"$_lt_dummy"}, \ = c,a/b,, \ && eval 'test $(( 1 + 1 )) -eq 2 \ && test "${#_lt_dummy}" -eq 5' ) >/dev/null 2>&1 \ && xsi_shell=yes { $as_echo "$as_me:$LINENO: result: $xsi_shell" >&5 $as_echo "$xsi_shell" >&6; } { $as_echo "$as_me:$LINENO: checking whether the shell understands \"+=\"" >&5 $as_echo_n "checking whether the shell understands \"+=\"... " >&6; } lt_shell_append=no ( foo=bar; set foo baz; eval "$1+=\$2" && test "$foo" = barbaz ) \ >/dev/null 2>&1 \ && lt_shell_append=yes { $as_echo "$as_me:$LINENO: result: $lt_shell_append" >&5 $as_echo "$lt_shell_append" >&6; } 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:$LINENO: checking for $LD option to reload object files" >&5 $as_echo_n "checking for $LD option to reload object files... " >&6; } if test "${lt_cv_ld_reload_flag+set}" = set; then $as_echo_n "(cached) " >&6 else lt_cv_ld_reload_flag='-r' fi { $as_echo "$as_me:$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 $host_os in darwin*) if test "$GCC" = yes; 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:$LINENO: checking for $ac_word" >&5 $as_echo_n "checking for $ac_word... " >&6; } if test "${ac_cv_prog_OBJDUMP+set}" = set; 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 '' $ac_executable_extensions; do if { test -f "$as_dir/$ac_word$ac_exec_ext" && $as_test_x "$as_dir/$ac_word$ac_exec_ext"; }; then ac_cv_prog_OBJDUMP="${ac_tool_prefix}objdump" $as_echo "$as_me:$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:$LINENO: result: $OBJDUMP" >&5 $as_echo "$OBJDUMP" >&6; } else { $as_echo "$as_me:$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:$LINENO: checking for $ac_word" >&5 $as_echo_n "checking for $ac_word... " >&6; } if test "${ac_cv_prog_ac_ct_OBJDUMP+set}" = set; 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 '' $ac_executable_extensions; do if { test -f "$as_dir/$ac_word$ac_exec_ext" && $as_test_x "$as_dir/$ac_word$ac_exec_ext"; }; then ac_cv_prog_ac_ct_OBJDUMP="objdump" $as_echo "$as_me:$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:$LINENO: result: $ac_ct_OBJDUMP" >&5 $as_echo "$ac_ct_OBJDUMP" >&6; } else { $as_echo "$as_me:$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:$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:$LINENO: checking how to recognize dependent libraries" >&5 $as_echo_n "checking how to recognize dependent libraries... " >&6; } if test "${lt_cv_deplibs_check_method+set}" = set; 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 # which 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 $host_os in aix[4-9]*) lt_cv_deplibs_check_method=pass_all ;; beos*) lt_cv_deplibs_check_method=pass_all ;; bsdi[45]*) lt_cv_deplibs_check_method='file_magic ELF [0-9][0-9]*-bit [ML]SB (shared object|dynamic lib)' lt_cv_file_magic_cmd='/usr/bin/file -L' lt_cv_file_magic_test_file=/shlib/libc.so ;; cygwin*) # func_win32_libid is a shell function defined in ltmain.sh lt_cv_deplibs_check_method='file_magic ^x86 archive import|^x86 DLL' lt_cv_file_magic_cmd='func_win32_libid' ;; mingw* | pw32*) # Base MSYS/MinGW do not provide the 'file' command needed by # func_win32_libid shell function, so use a weaker test based on 'objdump', # unless we find 'file', for example because we are cross-compiling. if ( file / ) >/dev/null 2>&1; then lt_cv_deplibs_check_method='file_magic ^x86 archive import|^x86 DLL' lt_cv_file_magic_cmd='func_win32_libid' else lt_cv_deplibs_check_method='file_magic file format pei*-i386(.*architecture: i386)?' lt_cv_file_magic_cmd='$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 ;; gnu*) lt_cv_deplibs_check_method=pass_all ;; hpux10.20* | hpux11*) lt_cv_file_magic_cmd=/usr/bin/file case $host_cpu in ia64*) lt_cv_deplibs_check_method='file_magic (s[0-9][0-9][0-9]|ELF-[0-9][0-9]) shared object file - IA64' lt_cv_file_magic_test_file=/usr/lib/hpux32/libc.so ;; hppa*64*) lt_cv_deplibs_check_method='file_magic (s[0-9][0-9][0-9]|ELF-[0-9][0-9]) shared object file - PA-RISC [0-9].[0-9]' lt_cv_file_magic_test_file=/usr/lib/pa20_64/libc.sl ;; *) lt_cv_deplibs_check_method='file_magic (s[0-9][0-9][0-9]|PA-RISC[0-9].[0-9]) shared library' lt_cv_file_magic_test_file=/usr/lib/libc.sl ;; esac ;; interix[3-9]*) # PIC code is broken on Interix 3.x, that's why |\.a not |_pic\.a here lt_cv_deplibs_check_method='match_pattern /lib[^/]+(\.so|\.a)$' ;; 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 Linux ELF. linux* | k*bsd*-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*) if test -z "`echo __ELF__ | $CC -E - | $GREP __ELF__`" || test "$host_os-$host_cpu" = "openbsd2.8-powerpc"; then lt_cv_deplibs_check_method='match_pattern /lib[^/]+(\.so\.[0-9]+\.[0-9]+|\.so|_pic\.a)$' 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 ;; esac fi { $as_echo "$as_me:$LINENO: result: $lt_cv_deplibs_check_method" >&5 $as_echo "$lt_cv_deplibs_check_method" >&6; } 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}ar", so it can be a program name with args. set dummy ${ac_tool_prefix}ar; ac_word=$2 { $as_echo "$as_me:$LINENO: checking for $ac_word" >&5 $as_echo_n "checking for $ac_word... " >&6; } if test "${ac_cv_prog_AR+set}" = set; 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 '' $ac_executable_extensions; do if { test -f "$as_dir/$ac_word$ac_exec_ext" && $as_test_x "$as_dir/$ac_word$ac_exec_ext"; }; then ac_cv_prog_AR="${ac_tool_prefix}ar" $as_echo "$as_me:$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:$LINENO: result: $AR" >&5 $as_echo "$AR" >&6; } else { $as_echo "$as_me:$LINENO: result: no" >&5 $as_echo "no" >&6; } fi fi if test -z "$ac_cv_prog_AR"; then ac_ct_AR=$AR # Extract the first word of "ar", so it can be a program name with args. set dummy ar; ac_word=$2 { $as_echo "$as_me:$LINENO: checking for $ac_word" >&5 $as_echo_n "checking for $ac_word... " >&6; } if test "${ac_cv_prog_ac_ct_AR+set}" = set; 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 '' $ac_executable_extensions; do if { test -f "$as_dir/$ac_word$ac_exec_ext" && $as_test_x "$as_dir/$ac_word$ac_exec_ext"; }; then ac_cv_prog_ac_ct_AR="ar" $as_echo "$as_me:$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:$LINENO: result: $ac_ct_AR" >&5 $as_echo "$ac_ct_AR" >&6; } else { $as_echo "$as_me:$LINENO: result: no" >&5 $as_echo "no" >&6; } fi if test "x$ac_ct_AR" = x; then AR="false" else case $cross_compiling:$ac_tool_warned in yes:) { $as_echo "$as_me:$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=$ac_ct_AR fi else AR="$ac_cv_prog_AR" fi test -z "$AR" && AR=ar test -z "$AR_FLAGS" && AR_FLAGS=cru 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:$LINENO: checking for $ac_word" >&5 $as_echo_n "checking for $ac_word... " >&6; } if test "${ac_cv_prog_STRIP+set}" = set; 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 '' $ac_executable_extensions; do if { test -f "$as_dir/$ac_word$ac_exec_ext" && $as_test_x "$as_dir/$ac_word$ac_exec_ext"; }; then ac_cv_prog_STRIP="${ac_tool_prefix}strip" $as_echo "$as_me:$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:$LINENO: result: $STRIP" >&5 $as_echo "$STRIP" >&6; } else { $as_echo "$as_me:$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:$LINENO: checking for $ac_word" >&5 $as_echo_n "checking for $ac_word... " >&6; } if test "${ac_cv_prog_ac_ct_STRIP+set}" = set; 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 '' $ac_executable_extensions; do if { test -f "$as_dir/$ac_word$ac_exec_ext" && $as_test_x "$as_dir/$ac_word$ac_exec_ext"; }; then ac_cv_prog_ac_ct_STRIP="strip" $as_echo "$as_me:$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:$LINENO: result: $ac_ct_STRIP" >&5 $as_echo "$ac_ct_STRIP" >&6; } else { $as_echo "$as_me:$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:$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:$LINENO: checking for $ac_word" >&5 $as_echo_n "checking for $ac_word... " >&6; } if test "${ac_cv_prog_RANLIB+set}" = set; 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 '' $ac_executable_extensions; do if { test -f "$as_dir/$ac_word$ac_exec_ext" && $as_test_x "$as_dir/$ac_word$ac_exec_ext"; }; then ac_cv_prog_RANLIB="${ac_tool_prefix}ranlib" $as_echo "$as_me:$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:$LINENO: result: $RANLIB" >&5 $as_echo "$RANLIB" >&6; } else { $as_echo "$as_me:$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:$LINENO: checking for $ac_word" >&5 $as_echo_n "checking for $ac_word... " >&6; } if test "${ac_cv_prog_ac_ct_RANLIB+set}" = set; 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 '' $ac_executable_extensions; do if { test -f "$as_dir/$ac_word$ac_exec_ext" && $as_test_x "$as_dir/$ac_word$ac_exec_ext"; }; then ac_cv_prog_ac_ct_RANLIB="ranlib" $as_echo "$as_me:$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:$LINENO: result: $ac_ct_RANLIB" >&5 $as_echo "$ac_ct_RANLIB" >&6; } else { $as_echo "$as_me:$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:$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 $host_os in openbsd*) old_postinstall_cmds="$old_postinstall_cmds~\$RANLIB -t \$oldlib" ;; *) old_postinstall_cmds="$old_postinstall_cmds~\$RANLIB \$oldlib" ;; esac old_archive_cmds="$old_archive_cmds~\$RANLIB \$oldlib" fi # 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:$LINENO: checking command to parse $NM output from $compiler object" >&5 $as_echo_n "checking command to parse $NM output from $compiler object... " >&6; } if test "${lt_cv_sys_global_symbol_pipe+set}" = set; 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 $host_os in aix*) symcode='[BCDT]' ;; cygwin* | mingw* | pw32* | cegcc*) symcode='[ABCDGISTW]' ;; hpux*) if test "$host_cpu" = ia64; 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 # 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 -e 's/^T .* \(.*\)$/extern int \1();/p' -e 's/^$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 -e 's/^: \([^ ]*\) $/ {\\\"\1\\\", (void *) 0},/p' -e 's/^$symcode* \([^ ]*\) \([^ ]*\)$/ {\"\2\", (void *) \&\2},/p'" lt_cv_sys_global_symbol_to_c_name_address_lib_prefix="sed -n -e 's/^: \([^ ]*\) $/ {\\\"\1\\\", (void *) 0},/p' -e 's/^$symcode* \([^ ]*\) \(lib[^ ]*\)$/ {\"\2\", (void *) \&\2},/p' -e 's/^$symcode* \([^ ]*\) \([^ ]*\)$/ {\"lib\2\", (void *) \&\2},/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 # and D for any global 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};"\ " /Section length .*#relocs.*(pick any)/{hide[last_section]=1};"\ " \$ 0!~/External *\|/{next};"\ " / 0+ UNDEF /{next}; / UNDEF \([^|]\)*()/{next};"\ " {if(hide[section]) next};"\ " {f=0}; \$ 0~/\(\).*\|/{f=1}; {printf f ? \"T \" : \"D \"};"\ " {split(\$ 0, a, /\||\r/); split(a[2], s)};"\ " s[1]~/^[@?]/{print s[1], s[1]; next};"\ " s[1]~prfx {split(s[1],t,\"@\"); print 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$opt_cr$/$symxfrm/p'" fi # Check to see that the pipe works correctly. pipe_works=no rm -f conftest* cat > conftest.$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 "$as_me:$LINENO: \"$ac_compile\"") >&5 (eval $ac_compile) 2>&5 ac_status=$? $as_echo "$as_me:$LINENO: \$? = $ac_status" >&5 (exit $ac_status); }; then # Now try to grab the symbols. nlist=conftest.nm if { (eval echo "$as_me:$LINENO: \"$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:$LINENO: \$? = $ac_status" >&5 (exit $ac_status); } && test -s "$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 #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. */ const struct { const char *name; void *address; } lt__PROGRAM__LTX_preloaded_symbols[] = { { "@PROGRAM@", (void *) 0 }, _LT_EOF $SED "s/^$symcode$symcode* \(.*\) \(.*\)$/ {\"\2\", (void *) \&\2},/" < "$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.$ac_objext lt_save_LIBS="$LIBS" lt_save_CFLAGS="$CFLAGS" LIBS="conftstm.$ac_objext" CFLAGS="$CFLAGS$lt_prog_compiler_no_builtin_flag" if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 (eval $ac_link) 2>&5 ac_status=$? $as_echo "$as_me:$LINENO: \$? = $ac_status" >&5 (exit $ac_status); } && test -s conftest${ac_exeext}; then pipe_works=yes fi LIBS="$lt_save_LIBS" CFLAGS="$lt_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.$ac_ext >&5 fi rm -rf conftest* conftst* # Do not use the global_symbol_pipe unless it works. if test "$pipe_works" = yes; 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:$LINENO: result: failed" >&5 $as_echo "failed" >&6; } else { $as_echo "$as_me:$LINENO: result: ok" >&5 $as_echo "ok" >&6; } fi @%:@ Check whether --enable-libtool-lock was given. if test "${enable_libtool_lock+set}" = set; then enableval=$enable_libtool_lock; fi test "x$enable_libtool_lock" != xno && enable_libtool_lock=yes # Some flags need to be propagated to the compiler or linker for good # libtool support. case $host in ia64-*-hpux*) # Find out which ABI we are using. echo 'int i;' > conftest.$ac_ext if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 (eval $ac_compile) 2>&5 ac_status=$? $as_echo "$as_me:$LINENO: \$? = $ac_status" >&5 (exit $ac_status); }; then case `/usr/bin/file conftest.$ac_objext` in *ELF-32*) HPUX_IA64_MODE="32" ;; *ELF-64*) HPUX_IA64_MODE="64" ;; esac fi rm -rf conftest* ;; *-*-irix6*) # Find out which ABI we are using. echo '#line __oline__ "configure"' > conftest.$ac_ext if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 (eval $ac_compile) 2>&5 ac_status=$? $as_echo "$as_me:$LINENO: \$? = $ac_status" >&5 (exit $ac_status); }; then if test "$lt_cv_prog_gnu_ld" = yes; 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* ;; x86_64-*kfreebsd*-gnu|x86_64-*linux*|ppc*-*linux*|powerpc*-*linux*| \ s390*-*linux*|s390*-*tpf*|sparc*-*linux*) # Find out which ABI we are using. echo 'int i;' > conftest.$ac_ext if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 (eval $ac_compile) 2>&5 ac_status=$? $as_echo "$as_me:$LINENO: \$? = $ac_status" >&5 (exit $ac_status); }; 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*) LD="${LD-ld} -m elf_i386" ;; ppc64-*linux*|powerpc64-*linux*) LD="${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="${LD-ld} -m elf_x86_64" ;; ppc*-*linux*|powerpc*-*linux*) LD="${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:$LINENO: checking whether the C compiler needs -belf" >&5 $as_echo_n "checking whether the C compiler needs -belf... " >&6; } if test "${lt_cv_cc_needs_belf+set}" = set; 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 >conftest.$ac_ext <<_ACEOF /* confdefs.h. */ _ACEOF cat confdefs.h >>conftest.$ac_ext cat >>conftest.$ac_ext <<_ACEOF /* end confdefs.h. */ int main () { ; return 0; } _ACEOF rm -f conftest.$ac_objext conftest$ac_exeext if { (ac_try="$ac_link" case "(($ac_try" in *\"* | *\`* | *\\*) ac_try_echo=\$ac_try;; *) ac_try_echo=$ac_try;; esac eval ac_try_echo="\"\$as_me:$LINENO: $ac_try_echo\"" $as_echo "$ac_try_echo") >&5 (eval "$ac_link") 2>conftest.er1 ac_status=$? grep -v '^ *+' conftest.er1 >conftest.err rm -f conftest.er1 cat conftest.err >&5 $as_echo "$as_me:$LINENO: \$? = $ac_status" >&5 (exit $ac_status); } && { test -z "$ac_c_werror_flag" || test ! -s conftest.err } && test -s conftest$ac_exeext && { test "$cross_compiling" = yes || $as_test_x conftest$ac_exeext }; then lt_cv_cc_needs_belf=yes else $as_echo "$as_me: failed program was:" >&5 sed 's/^/| /' conftest.$ac_ext >&5 lt_cv_cc_needs_belf=no fi rm -rf conftest.dSYM rm -f core conftest.err conftest.$ac_objext conftest_ipa8_conftest.oo \ 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:$LINENO: result: $lt_cv_cc_needs_belf" >&5 $as_echo "$lt_cv_cc_needs_belf" >&6; } if test x"$lt_cv_cc_needs_belf" != x"yes"; then # this is probably gcc 2.8.0, egcs 1.0 or newer; no need for -belf CFLAGS="$SAVE_CFLAGS" fi ;; sparc*-*solaris*) # Find out which ABI we are using. echo 'int i;' > conftest.$ac_ext if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 (eval $ac_compile) 2>&5 ac_status=$? $as_echo "$as_me:$LINENO: \$? = $ac_status" >&5 (exit $ac_status); }; then case `/usr/bin/file conftest.o` in *64-bit*) case $lt_cv_prog_gnu_ld in yes*) LD="${LD-ld} -m elf64_sparc" ;; *) 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" 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:$LINENO: checking for $ac_word" >&5 $as_echo_n "checking for $ac_word... " >&6; } if test "${ac_cv_prog_DSYMUTIL+set}" = set; 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 '' $ac_executable_extensions; do if { test -f "$as_dir/$ac_word$ac_exec_ext" && $as_test_x "$as_dir/$ac_word$ac_exec_ext"; }; then ac_cv_prog_DSYMUTIL="${ac_tool_prefix}dsymutil" $as_echo "$as_me:$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:$LINENO: result: $DSYMUTIL" >&5 $as_echo "$DSYMUTIL" >&6; } else { $as_echo "$as_me:$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:$LINENO: checking for $ac_word" >&5 $as_echo_n "checking for $ac_word... " >&6; } if test "${ac_cv_prog_ac_ct_DSYMUTIL+set}" = set; 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 '' $ac_executable_extensions; do if { test -f "$as_dir/$ac_word$ac_exec_ext" && $as_test_x "$as_dir/$ac_word$ac_exec_ext"; }; then ac_cv_prog_ac_ct_DSYMUTIL="dsymutil" $as_echo "$as_me:$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:$LINENO: result: $ac_ct_DSYMUTIL" >&5 $as_echo "$ac_ct_DSYMUTIL" >&6; } else { $as_echo "$as_me:$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:$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:$LINENO: checking for $ac_word" >&5 $as_echo_n "checking for $ac_word... " >&6; } if test "${ac_cv_prog_NMEDIT+set}" = set; 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 '' $ac_executable_extensions; do if { test -f "$as_dir/$ac_word$ac_exec_ext" && $as_test_x "$as_dir/$ac_word$ac_exec_ext"; }; then ac_cv_prog_NMEDIT="${ac_tool_prefix}nmedit" $as_echo "$as_me:$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:$LINENO: result: $NMEDIT" >&5 $as_echo "$NMEDIT" >&6; } else { $as_echo "$as_me:$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:$LINENO: checking for $ac_word" >&5 $as_echo_n "checking for $ac_word... " >&6; } if test "${ac_cv_prog_ac_ct_NMEDIT+set}" = set; 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 '' $ac_executable_extensions; do if { test -f "$as_dir/$ac_word$ac_exec_ext" && $as_test_x "$as_dir/$ac_word$ac_exec_ext"; }; then ac_cv_prog_ac_ct_NMEDIT="nmedit" $as_echo "$as_me:$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:$LINENO: result: $ac_ct_NMEDIT" >&5 $as_echo "$ac_ct_NMEDIT" >&6; } else { $as_echo "$as_me:$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:$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:$LINENO: checking for $ac_word" >&5 $as_echo_n "checking for $ac_word... " >&6; } if test "${ac_cv_prog_LIPO+set}" = set; 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 '' $ac_executable_extensions; do if { test -f "$as_dir/$ac_word$ac_exec_ext" && $as_test_x "$as_dir/$ac_word$ac_exec_ext"; }; then ac_cv_prog_LIPO="${ac_tool_prefix}lipo" $as_echo "$as_me:$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:$LINENO: result: $LIPO" >&5 $as_echo "$LIPO" >&6; } else { $as_echo "$as_me:$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:$LINENO: checking for $ac_word" >&5 $as_echo_n "checking for $ac_word... " >&6; } if test "${ac_cv_prog_ac_ct_LIPO+set}" = set; 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 '' $ac_executable_extensions; do if { test -f "$as_dir/$ac_word$ac_exec_ext" && $as_test_x "$as_dir/$ac_word$ac_exec_ext"; }; then ac_cv_prog_ac_ct_LIPO="lipo" $as_echo "$as_me:$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:$LINENO: result: $ac_ct_LIPO" >&5 $as_echo "$ac_ct_LIPO" >&6; } else { $as_echo "$as_me:$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:$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:$LINENO: checking for $ac_word" >&5 $as_echo_n "checking for $ac_word... " >&6; } if test "${ac_cv_prog_OTOOL+set}" = set; 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 '' $ac_executable_extensions; do if { test -f "$as_dir/$ac_word$ac_exec_ext" && $as_test_x "$as_dir/$ac_word$ac_exec_ext"; }; then ac_cv_prog_OTOOL="${ac_tool_prefix}otool" $as_echo "$as_me:$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:$LINENO: result: $OTOOL" >&5 $as_echo "$OTOOL" >&6; } else { $as_echo "$as_me:$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:$LINENO: checking for $ac_word" >&5 $as_echo_n "checking for $ac_word... " >&6; } if test "${ac_cv_prog_ac_ct_OTOOL+set}" = set; 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 '' $ac_executable_extensions; do if { test -f "$as_dir/$ac_word$ac_exec_ext" && $as_test_x "$as_dir/$ac_word$ac_exec_ext"; }; then ac_cv_prog_ac_ct_OTOOL="otool" $as_echo "$as_me:$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:$LINENO: result: $ac_ct_OTOOL" >&5 $as_echo "$ac_ct_OTOOL" >&6; } else { $as_echo "$as_me:$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:$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:$LINENO: checking for $ac_word" >&5 $as_echo_n "checking for $ac_word... " >&6; } if test "${ac_cv_prog_OTOOL64+set}" = set; 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 '' $ac_executable_extensions; do if { test -f "$as_dir/$ac_word$ac_exec_ext" && $as_test_x "$as_dir/$ac_word$ac_exec_ext"; }; then ac_cv_prog_OTOOL64="${ac_tool_prefix}otool64" $as_echo "$as_me:$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:$LINENO: result: $OTOOL64" >&5 $as_echo "$OTOOL64" >&6; } else { $as_echo "$as_me:$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:$LINENO: checking for $ac_word" >&5 $as_echo_n "checking for $ac_word... " >&6; } if test "${ac_cv_prog_ac_ct_OTOOL64+set}" = set; 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 '' $ac_executable_extensions; do if { test -f "$as_dir/$ac_word$ac_exec_ext" && $as_test_x "$as_dir/$ac_word$ac_exec_ext"; }; then ac_cv_prog_ac_ct_OTOOL64="otool64" $as_echo "$as_me:$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:$LINENO: result: $ac_ct_OTOOL64" >&5 $as_echo "$ac_ct_OTOOL64" >&6; } else { $as_echo "$as_me:$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:$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:$LINENO: checking for -single_module linker flag" >&5 $as_echo_n "checking for -single_module linker flag... " >&6; } if test "${lt_cv_apple_cc_single_mod+set}" = set; then $as_echo_n "(cached) " >&6 else lt_cv_apple_cc_single_mod=no if test -z "${LT_MULTI_MODULE}"; then # By default we will add the -single_module flag. You can override # by either setting the environment variable LT_MULTI_MODULE # non-empty at configure time, or by adding -multi_module to the # link flags. rm -rf libconftest.dylib* echo "int foo(void){return 1;}" > conftest.c echo "$LTCC $LTCFLAGS $LDFLAGS -o libconftest.dylib \ -dynamiclib -Wl,-single_module conftest.c" >&5 $LTCC $LTCFLAGS $LDFLAGS -o libconftest.dylib \ -dynamiclib -Wl,-single_module conftest.c 2>conftest.err _lt_result=$? if test -f libconftest.dylib && test ! -s conftest.err && test $_lt_result = 0; then lt_cv_apple_cc_single_mod=yes else cat conftest.err >&5 fi rm -rf libconftest.dylib* rm -f conftest.* fi fi { $as_echo "$as_me:$LINENO: result: $lt_cv_apple_cc_single_mod" >&5 $as_echo "$lt_cv_apple_cc_single_mod" >&6; } { $as_echo "$as_me:$LINENO: checking for -exported_symbols_list linker flag" >&5 $as_echo_n "checking for -exported_symbols_list linker flag... 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grep -v '^ *+' conftest.er1 >conftest.err rm -f conftest.er1 cat conftest.err >&5 $as_echo "$as_me:$LINENO: \$? = $ac_status" >&5 (exit $ac_status); } && { test -z "$ac_c_werror_flag" || test ! -s conftest.err } && test -s conftest$ac_exeext && { test "$cross_compiling" = yes || $as_test_x conftest$ac_exeext }; then lt_aix_libpath_sed=' /Import File Strings/,/^$/ { /^0/ { s/^0 *\(.*\)$/\1/ p } }' aix_libpath=`dump -H conftest$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 "$aix_libpath"; then aix_libpath=`dump -HX64 conftest$ac_exeext 2>/dev/null | $SED -n -e "$lt_aix_libpath_sed"` fi else $as_echo "$as_me: failed program was:" >&5 sed 's/^/| /' conftest.$ac_ext >&5 fi rm -rf conftest.dSYM rm -f core conftest.err conftest.$ac_objext conftest_ipa8_conftest.oo \ conftest$ac_exeext conftest.$ac_ext if test -z "$aix_libpath"; then aix_libpath="/usr/lib:/lib"; fi hardcode_libdir_flag_spec='${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=' ${wl}-berok' # Exported symbols can be pulled into shared objects from archives whole_archive_flag_spec='$convenience' archive_cmds_need_lc=yes # This is similar to how AIX traditionally builds its shared libraries. archive_expsym_cmds="\$CC $shared_flag"' -o $output_objdir/$soname $libobjs $deplibs ${wl}-bnoentry $compiler_flags ${wl}-bE:$export_symbols${allow_undefined_flag}~$AR $AR_FLAGS $output_objdir/$libname$release.a $output_objdir/$soname' 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 $lib' archive_expsym_cmds='' ;; m68k) archive_cmds='$RM $output_objdir/a2ixlibrary.data~$ECHO "#define NAME $libname" > $output_objdir/a2ixlibrary.data~$ECHO "#define LIBRARY_ID 1" >> $output_objdir/a2ixlibrary.data~$ECHO "#define VERSION $major" >> $output_objdir/a2ixlibrary.data~$ECHO "#define REVISION $revision" >> $output_objdir/a2ixlibrary.data~$AR $AR_FLAGS $lib $libobjs~$RANLIB $lib~(cd $output_objdir && a2ixlibrary -32)' hardcode_libdir_flag_spec='-L$libdir' hardcode_minus_L=yes ;; esac ;; bsdi[45]*) export_dynamic_flag_spec=-rdynamic ;; cygwin* | mingw* | pw32* | cegcc*) # When not using gcc, we currently assume that we are using # Microsoft Visual C++. # hardcode_libdir_flag_spec is actually meaningless, as there is # no search path for DLLs. hardcode_libdir_flag_spec=' ' allow_undefined_flag=unsupported # Tell ltmain to make .lib files, not .a files. libext=lib # Tell ltmain to make .dll files, not .so files. shrext_cmds=".dll" # FIXME: Setting linknames here is a bad hack. archive_cmds='$CC -o $lib $libobjs $compiler_flags `$ECHO "X$deplibs" | $Xsed -e '\''s/ -lc$//'\''` -link -dll~linknames=' # The linker will automatically build a .lib file if we build a DLL. old_archive_from_new_cmds='true' # FIXME: Should let the user specify the lib program. old_archive_cmds='lib -OUT:$oldlib$oldobjs$old_deplibs' fix_srcfile_path='`cygpath -w "$srcfile"`' enable_shared_with_static_runtimes=yes ;; darwin* | rhapsody*) archive_cmds_need_lc=no hardcode_direct=no hardcode_automatic=yes hardcode_shlibpath_var=unsupported whole_archive_flag_spec='' link_all_deplibs=yes allow_undefined_flag="$_lt_dar_allow_undefined" case $cc_basename in ifort*) _lt_dar_can_shared=yes ;; *) _lt_dar_can_shared=$GCC ;; esac if test "$_lt_dar_can_shared" = "yes"; then output_verbose_link_cmd=echo archive_cmds="\$CC -dynamiclib \$allow_undefined_flag -o \$lib \$libobjs \$deplibs \$compiler_flags -install_name \$rpath/\$soname \$verstring $_lt_dar_single_mod${_lt_dsymutil}" module_cmds="\$CC \$allow_undefined_flag -o \$lib -bundle \$libobjs \$deplibs \$compiler_flags${_lt_dsymutil}" archive_expsym_cmds="sed 's,^,_,' < \$export_symbols > \$output_objdir/\${libname}-symbols.expsym~\$CC -dynamiclib \$allow_undefined_flag -o \$lib \$libobjs \$deplibs \$compiler_flags -install_name \$rpath/\$soname \$verstring ${_lt_dar_single_mod}${_lt_dar_export_syms}${_lt_dsymutil}" module_expsym_cmds="sed -e 's,^,_,' < \$export_symbols > \$output_objdir/\${libname}-symbols.expsym~\$CC \$allow_undefined_flag -o \$lib -bundle \$libobjs \$deplibs \$compiler_flags${_lt_dar_export_syms}${_lt_dsymutil}" else ld_shlibs=no fi ;; dgux*) archive_cmds='$LD -G -h $soname -o $lib $libobjs $deplibs $linker_flags' hardcode_libdir_flag_spec='-L$libdir' hardcode_shlibpath_var=no ;; freebsd1*) ld_shlibs=no ;; # FreeBSD 2.2.[012] allows us to include c++rt0.o to get C++ constructor # support. Future versions do this automatically, but an explicit c++rt0.o # does not break anything, and helps significantly (at the cost of a little # extra space). freebsd2.2*) archive_cmds='$LD -Bshareable -o $lib $libobjs $deplibs $linker_flags /usr/lib/c++rt0.o' hardcode_libdir_flag_spec='-R$libdir' hardcode_direct=yes hardcode_shlibpath_var=no ;; # Unfortunately, older versions of FreeBSD 2 do not have this feature. freebsd2*) archive_cmds='$LD -Bshareable -o $lib $libobjs $deplibs $linker_flags' hardcode_direct=yes hardcode_minus_L=yes hardcode_shlibpath_var=no ;; # FreeBSD 3 and greater uses gcc -shared to do shared libraries. freebsd* | dragonfly*) archive_cmds='$CC -shared -o $lib $libobjs $deplibs $compiler_flags' hardcode_libdir_flag_spec='-R$libdir' hardcode_direct=yes hardcode_shlibpath_var=no ;; hpux9*) if test "$GCC" = yes; then archive_cmds='$RM $output_objdir/$soname~$CC -shared -fPIC ${wl}+b ${wl}$install_libdir -o $output_objdir/$soname $libobjs $deplibs $compiler_flags~test $output_objdir/$soname = $lib || mv $output_objdir/$soname $lib' else archive_cmds='$RM $output_objdir/$soname~$LD -b +b $install_libdir -o $output_objdir/$soname $libobjs $deplibs $linker_flags~test $output_objdir/$soname = $lib || mv $output_objdir/$soname $lib' fi hardcode_libdir_flag_spec='${wl}+b ${wl}$libdir' hardcode_libdir_separator=: hardcode_direct=yes # hardcode_minus_L: Not really in the search PATH, # but as the default location of the library. hardcode_minus_L=yes export_dynamic_flag_spec='${wl}-E' ;; hpux10*) if test "$GCC" = yes -a "$with_gnu_ld" = no; then archive_cmds='$CC -shared -fPIC ${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 $linker_flags' fi if test "$with_gnu_ld" = no; then hardcode_libdir_flag_spec='${wl}+b ${wl}$libdir' hardcode_libdir_flag_spec_ld='+b $libdir' hardcode_libdir_separator=: hardcode_direct=yes hardcode_direct_absolute=yes export_dynamic_flag_spec='${wl}-E' # hardcode_minus_L: Not really in the search PATH, # but as the default location of the library. hardcode_minus_L=yes fi ;; hpux11*) if test "$GCC" = yes -a "$with_gnu_ld" = no; then case $host_cpu in hppa*64*) archive_cmds='$CC -shared ${wl}+h ${wl}$soname -o $lib $libobjs $deplibs $compiler_flags' ;; ia64*) archive_cmds='$CC -shared -fPIC ${wl}+h ${wl}$soname ${wl}+nodefaultrpath -o $lib $libobjs $deplibs $compiler_flags' ;; *) archive_cmds='$CC -shared -fPIC ${wl}+h ${wl}$soname ${wl}+b ${wl}$install_libdir -o $lib $libobjs $deplibs $compiler_flags' ;; esac else case $host_cpu in hppa*64*) archive_cmds='$CC -b ${wl}+h ${wl}$soname -o $lib $libobjs $deplibs $compiler_flags' ;; ia64*) archive_cmds='$CC -b ${wl}+h ${wl}$soname ${wl}+nodefaultrpath -o $lib $libobjs $deplibs $compiler_flags' ;; *) archive_cmds='$CC -b ${wl}+h ${wl}$soname ${wl}+b ${wl}$install_libdir -o $lib $libobjs $deplibs $compiler_flags' ;; esac fi if test "$with_gnu_ld" = no; 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 "$GCC" = yes; then archive_cmds='$CC -shared $libobjs $deplibs $compiler_flags ${wl}-soname ${wl}$soname `test -n "$verstring" && $ECHO "X${wl}-set_version ${wl}$verstring" | $Xsed` ${wl}-update_registry ${wl}${output_objdir}/so_locations -o $lib' # Try to use the -exported_symbol ld option, if it does not # work, assume that -exports_file does not work either and # implicitly export all symbols. save_LDFLAGS="$LDFLAGS" LDFLAGS="$LDFLAGS -shared ${wl}-exported_symbol ${wl}foo ${wl}-update_registry ${wl}/dev/null" cat >conftest.$ac_ext <<_ACEOF int foo(void) {} _ACEOF rm -f conftest.$ac_objext conftest$ac_exeext if { (ac_try="$ac_link" case "(($ac_try" in *\"* | *\`* | *\\*) ac_try_echo=\$ac_try;; *) ac_try_echo=$ac_try;; esac eval ac_try_echo="\"\$as_me:$LINENO: $ac_try_echo\"" $as_echo "$ac_try_echo") >&5 (eval "$ac_link") 2>conftest.er1 ac_status=$? grep -v '^ *+' conftest.er1 >conftest.err rm -f conftest.er1 cat conftest.err >&5 $as_echo "$as_me:$LINENO: \$? = $ac_status" >&5 (exit $ac_status); } && { test -z "$ac_c_werror_flag" || test ! -s conftest.err } && test -s conftest$ac_exeext && { test "$cross_compiling" = yes || $as_test_x conftest$ac_exeext }; then archive_expsym_cmds='$CC -shared $libobjs $deplibs $compiler_flags ${wl}-soname ${wl}$soname `test -n "$verstring" && $ECHO "X${wl}-set_version ${wl}$verstring" | $Xsed` ${wl}-update_registry ${wl}${output_objdir}/so_locations ${wl}-exports_file ${wl}$export_symbols -o $lib' else $as_echo "$as_me: failed program was:" >&5 sed 's/^/| /' conftest.$ac_ext >&5 fi rm -rf conftest.dSYM rm -f core conftest.err conftest.$ac_objext conftest_ipa8_conftest.oo \ conftest$ac_exeext conftest.$ac_ext LDFLAGS="$save_LDFLAGS" else archive_cmds='$CC -shared $libobjs $deplibs $compiler_flags -soname $soname `test -n "$verstring" && $ECHO "X-set_version $verstring" | $Xsed` -update_registry ${output_objdir}/so_locations -o $lib' archive_expsym_cmds='$CC -shared $libobjs $deplibs $compiler_flags -soname $soname `test -n "$verstring" && $ECHO "X-set_version $verstring" | $Xsed` -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 ;; 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*) 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 - | $GREP __ELF__`" || test "$host_os-$host_cpu" = "openbsd2.8-powerpc"; then archive_cmds='$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 case $host_os in openbsd[01].* | openbsd2.[0-7] | openbsd2.[0-7].*) archive_cmds='$LD -Bshareable -o $lib $libobjs $deplibs $linker_flags' hardcode_libdir_flag_spec='-R$libdir' ;; *) archive_cmds='$CC -shared $pic_flag -o $lib $libobjs $deplibs $compiler_flags' hardcode_libdir_flag_spec='${wl}-rpath,$libdir' ;; esac fi else ld_shlibs=no fi ;; os2*) hardcode_libdir_flag_spec='-L$libdir' hardcode_minus_L=yes allow_undefined_flag=unsupported archive_cmds='$ECHO "LIBRARY $libname INITINSTANCE" > $output_objdir/$libname.def~$ECHO "DESCRIPTION \"$libname\"" >> $output_objdir/$libname.def~$ECHO DATA >> $output_objdir/$libname.def~$ECHO " SINGLE NONSHARED" >> $output_objdir/$libname.def~$ECHO EXPORTS >> $output_objdir/$libname.def~emxexp $libobjs >> $output_objdir/$libname.def~$CC -Zdll -Zcrtdll -o $lib $libobjs $deplibs $compiler_flags $output_objdir/$libname.def' old_archive_from_new_cmds='emximp -o $output_objdir/$libname.a $output_objdir/$libname.def' ;; osf3*) if test "$GCC" = yes; 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" && $ECHO "X${wl}-set_version ${wl}$verstring" | $Xsed` ${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" && $ECHO "X-set_version $verstring" | $Xsed` -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 "$GCC" = yes; then allow_undefined_flag=' ${wl}-expect_unresolved ${wl}\*' archive_cmds='$CC -shared${allow_undefined_flag} $libobjs $deplibs $compiler_flags ${wl}-msym ${wl}-soname ${wl}$soname `test -n "$verstring" && $ECHO "X${wl}-set_version ${wl}$verstring" | $Xsed` ${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" && $ECHO "X-set_version $verstring" | $Xsed` -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 "X-set_version $verstring" | $Xsed` -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=: ;; 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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., 51 Franklin Street - Fifth Floor, Boston, MA # 02110-1301, USA. # # 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 Per Bothner . # Please send patches to . Submit a context # diff and a properly formatted ChangeLog entry. # # This script attempts to guess a canonical system name similar to # config.sub. If it succeeds, it prints the system name on stdout, and # exits with 0. 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ALPHA_CPU_TYPE=`/usr/sbin/psrinfo -v | sed -n -e 's/^ The alpha \(.*\) processor.*$/\1/p' | head -n 1` case "$ALPHA_CPU_TYPE" in "EV4 (21064)") UNAME_MACHINE="alpha" ;; "EV4.5 (21064)") UNAME_MACHINE="alpha" ;; "LCA4 (21066/21068)") UNAME_MACHINE="alpha" ;; "EV5 (21164)") UNAME_MACHINE="alphaev5" ;; "EV5.6 (21164A)") UNAME_MACHINE="alphaev56" ;; "EV5.6 (21164PC)") UNAME_MACHINE="alphapca56" ;; "EV5.7 (21164PC)") UNAME_MACHINE="alphapca57" ;; "EV6 (21264)") UNAME_MACHINE="alphaev6" ;; "EV6.7 (21264A)") UNAME_MACHINE="alphaev67" ;; "EV6.8CB (21264C)") UNAME_MACHINE="alphaev68" ;; "EV6.8AL (21264B)") UNAME_MACHINE="alphaev68" ;; "EV6.8CX (21264D)") UNAME_MACHINE="alphaev68" ;; "EV6.9A (21264/EV69A)") UNAME_MACHINE="alphaev69" ;; "EV7 (21364)") UNAME_MACHINE="alphaev7" ;; "EV7.9 (21364A)") UNAME_MACHINE="alphaev79" ;; esac # A Pn.n version is a patched version. # A Vn.n version is a released version. # A Tn.n version is a released field test version. # A Xn.n version is an unreleased experimental baselevel. # 1.2 uses "1.2" for uname -r. echo ${UNAME_MACHINE}-dec-osf`echo ${UNAME_RELEASE} | sed -e 's/^[PVTX]//' | tr 'ABCDEFGHIJKLMNOPQRSTUVWXYZ' 'abcdefghijklmnopqrstuvwxyz'` exit ;; Alpha\ *:Windows_NT*:*) # How do we know it's Interix rather than the generic POSIX subsystem? # Should we change UNAME_MACHINE based on the output of uname instead # of the specific Alpha model? echo alpha-pc-interix exit ;; 21064:Windows_NT:50:3) echo alpha-dec-winnt3.5 exit ;; Amiga*:UNIX_System_V:4.0:*) echo m68k-unknown-sysv4 exit ;; *:[Aa]miga[Oo][Ss]:*:*) echo ${UNAME_MACHINE}-unknown-amigaos exit ;; *:[Mm]orph[Oo][Ss]:*:*) echo ${UNAME_MACHINE}-unknown-morphos exit ;; *:OS/390:*:*) echo i370-ibm-openedition exit ;; *:z/VM:*:*) echo s390-ibm-zvmoe exit ;; *:OS400:*:*) echo powerpc-ibm-os400 exit ;; arm:RISC*:1.[012]*:*|arm:riscix:1.[012]*:*) echo arm-acorn-riscix${UNAME_RELEASE} exit ;; arm:riscos:*:*|arm:RISCOS:*:*) echo arm-unknown-riscos exit ;; SR2?01:HI-UX/MPP:*:* | SR8000:HI-UX/MPP:*:*) echo hppa1.1-hitachi-hiuxmpp exit ;; Pyramid*:OSx*:*:* | MIS*:OSx*:*:* | MIS*:SMP_DC-OSx*:*:*) # akee@wpdis03.wpafb.af.mil (Earle F. Ake) contributed MIS and NILE. if test "`(/bin/universe) 2>/dev/null`" = att ; then echo pyramid-pyramid-sysv3 else echo pyramid-pyramid-bsd fi exit ;; NILE*:*:*:dcosx) echo pyramid-pyramid-svr4 exit ;; DRS?6000:unix:4.0:6*) echo sparc-icl-nx6 exit ;; DRS?6000:UNIX_SV:4.2*:7* | DRS?6000:isis:4.2*:7*) case `/usr/bin/uname -p` in sparc) echo sparc-icl-nx7; exit ;; esac ;; sun4H:SunOS:5.*:*) echo sparc-hal-solaris2`echo ${UNAME_RELEASE}|sed -e 's/[^.]*//'` exit ;; sun4*:SunOS:5.*:* | tadpole*:SunOS:5.*:*) echo sparc-sun-solaris2`echo ${UNAME_RELEASE}|sed -e 's/[^.]*//'` exit ;; i86pc:SunOS:5.*:* | i86xen:SunOS:5.*:*) eval $set_cc_for_build SUN_ARCH="i386" # If there is a compiler, see if it is configured for 64-bit objects. # Note that the Sun cc does not turn __LP64__ into 1 like gcc does. # This test works for both compilers. if [ "$CC_FOR_BUILD" != 'no_compiler_found' ]; then if echo '\n#ifdef __amd64\nIS_64BIT_ARCH\n#endif' | \ (CCOPTS= $CC_FOR_BUILD -E - 2>/dev/null) | \ grep IS_64BIT_ARCH >/dev/null then SUN_ARCH="x86_64" fi fi echo ${SUN_ARCH}-pc-solaris2`echo ${UNAME_RELEASE}|sed -e 's/[^.]*//'` exit ;; sun4*:SunOS:6*:*) # According to config.sub, this is the proper way to canonicalize # SunOS6. 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:*:[456]) IBM_CPU_ID=`/usr/sbin/lsdev -C -c processor -S available | sed 1q | awk '{ print $1 }'` if /usr/sbin/lsattr -El ${IBM_CPU_ID} | grep ' POWER' >/dev/null 2>&1; then IBM_ARCH=rs6000 else IBM_ARCH=powerpc fi if [ -x /usr/bin/oslevel ] ; then IBM_REV=`/usr/bin/oslevel` else IBM_REV=${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 __LP64__ >/dev/null 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:*:*) case ${UNAME_MACHINE} in pc98) echo i386-unknown-freebsd`echo ${UNAME_RELEASE}|sed -e 's/[-(].*//'` ;; amd64) echo x86_64-unknown-freebsd`echo ${UNAME_RELEASE}|sed -e 's/[-(].*//'` ;; *) echo ${UNAME_MACHINE}-unknown-freebsd`echo ${UNAME_RELEASE}|sed -e 's/[-(].*//'` ;; esac exit ;; i*:CYGWIN*:*) echo ${UNAME_MACHINE}-pc-cygwin exit ;; *:MINGW*:*) echo ${UNAME_MACHINE}-pc-mingw32 exit ;; i*:windows32*:*) # uname -m includes "-pc" on this system. echo ${UNAME_MACHINE}-mingw32 exit ;; i*:PW*:*) echo ${UNAME_MACHINE}-pc-pw32 exit ;; *:Interix*:[3456]*) case ${UNAME_MACHINE} in x86) echo i586-pc-interix${UNAME_RELEASE} exit ;; EM64T | authenticamd | genuineintel) 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 ;; 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. 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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 ${UNAME_MACHINE}-pc-syllable exit ;; i*86:LynxOS:2.*:* | i*86:LynxOS:3.[01]*:* | i*86:LynxOS:4.0*:*) echo i386-unknown-lynxos${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 ${UNAME_MACHINE}-pc-sysv32 fi exit ;; pc:*:*:*) # Left here for compatibility: # uname -m prints for DJGPP always 'pc', but it prints nothing about # the processor, so we play safe by assuming i386. echo i386-pc-msdosdjgpp exit ;; Intel:Mach:3*:*) echo i386-pc-mach3 exit ;; paragon:*:*:*) echo i860-intel-osf1 exit ;; i860:*:4.*:*) # i860-SVR4 if grep Stardent /usr/include/sys/uadmin.h >/dev/null 2>&1 ; then echo i860-stardent-sysv${UNAME_RELEASE} # Stardent Vistra i860-SVR4 else # Add other i860-SVR4 vendors below as they are discovered. echo i860-unknown-sysv${UNAME_RELEASE} # Unknown i860-SVR4 fi exit ;; 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TSUNAMI:LynxOS:2.*:*) echo sparc-unknown-lynxos${UNAME_RELEASE} exit ;; rs6000:LynxOS:2.*:*) echo rs6000-unknown-lynxos${UNAME_RELEASE} exit ;; PowerPC:LynxOS:2.*:* | PowerPC:LynxOS:3.[01]*:* | PowerPC:LynxOS:4.0*:*) echo powerpc-unknown-lynxos${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 ;; 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 ;; 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 case $UNAME_PROCESSOR in unknown) UNAME_PROCESSOR=powerpc ;; esac 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${UNAME_RELEASE} exit ;; *:QNX:*:4*) echo i386-pc-qnx exit ;; NSE-?:NONSTOP_KERNEL:*:*) echo nse-tandem-nsk${UNAME_RELEASE} exit ;; NSR-?:NONSTOP_KERNEL:*:*) echo nsr-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 ${UNAME_MACHINE}-pc-rdos exit ;; esac #echo '(No uname command or uname output not recognized.)' 1>&2 #echo "${UNAME_MACHINE}:${UNAME_SYSTEM}:${UNAME_RELEASE}:${UNAME_VERSION}" 1>&2 eval $set_cc_for_build cat >$dummy.c < # include #endif main () { #if defined (sony) #if defined (MIPSEB) /* BFD wants "bsd" instead of "newsos". Perhaps BFD should be changed, I don't know.... */ printf ("mips-sony-bsd\n"); exit (0); #else #include printf ("m68k-sony-newsos%s\n", #ifdef NEWSOS4 "4" #else "" #endif ); exit (0); #endif #endif #if defined (__arm) && defined (__acorn) && defined (__unix) printf ("arm-acorn-riscix\n"); exit (0); #endif #if defined (hp300) && !defined (hpux) printf ("m68k-hp-bsd\n"); exit (0); #endif #if defined (NeXT) #if !defined (__ARCHITECTURE__) #define __ARCHITECTURE__ "m68k" #endif int version; version=`(hostinfo | sed -n 's/.*NeXT Mach \([0-9]*\).*/\1/p') 2>/dev/null`; if (version < 4) printf ("%s-next-nextstep%d\n", __ARCHITECTURE__, version); else printf ("%s-next-openstep%d\n", __ARCHITECTURE__, version); exit (0); #endif #if defined (MULTIMAX) || defined (n16) #if defined (UMAXV) printf ("ns32k-encore-sysv\n"); exit (0); #else #if defined (CMU) printf ("ns32k-encore-mach\n"); exit (0); #else printf ("ns32k-encore-bsd\n"); exit (0); #endif #endif #endif #if defined (__386BSD__) printf ("i386-pc-bsd\n"); exit (0); #endif #if defined (sequent) #if defined (i386) printf ("i386-sequent-dynix\n"); exit (0); #endif #if defined (ns32000) printf ("ns32k-sequent-dynix\n"); exit (0); #endif #endif #if defined (_SEQUENT_) struct utsname un; uname(&un); if (strncmp(un.version, "V2", 2) == 0) { printf ("i386-sequent-ptx2\n"); exit (0); } if (strncmp(un.version, "V1", 2) == 0) { /* XXX is V1 correct? */ printf ("i386-sequent-ptx1\n"); exit (0); } printf ("i386-sequent-ptx\n"); exit (0); #endif #if defined (vax) # if !defined (ultrix) # include # if defined (BSD) # if BSD == 43 printf ("vax-dec-bsd4.3\n"); exit (0); # else # if BSD == 199006 printf ("vax-dec-bsd4.3reno\n"); exit (0); # else printf ("vax-dec-bsd\n"); exit (0); # endif # endif # else printf ("vax-dec-bsd\n"); exit (0); # endif # else printf ("vax-dec-ultrix\n"); exit (0); # endif #endif #if defined (alliant) && defined (i860) printf ("i860-alliant-bsd\n"); exit (0); #endif exit (1); } EOF $CC_FOR_BUILD -o $dummy $dummy.c 2>/dev/null && SYSTEM_NAME=`$dummy` && { echo "$SYSTEM_NAME"; exit; } # Apollos put the system type in the environment. test -d /usr/apollo && { echo ${ISP}-apollo-${SYSTYPE}; exit; } # Convex versions that predate uname can use getsysinfo(1) if [ -x /usr/convex/getsysinfo ] then case `getsysinfo -f cpu_type` in c1*) echo c1-convex-bsd exit ;; c2*) if getsysinfo -f scalar_acc then echo c32-convex-bsd else echo c2-convex-bsd fi exit ;; c34*) echo c34-convex-bsd exit ;; c38*) echo c38-convex-bsd exit ;; c4*) echo c4-convex-bsd exit ;; esac fi cat >&2 < in order to provide the needed information to handle your system. config.guess timestamp = $timestamp uname -m = `(uname -m) 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: cddlib-094g/config.sub000077500000000000000000001017561206770251100147560ustar00rootroot00000000000000#! /bin/sh # Configuration validation subroutine script. # Copyright (C) 1992, 1993, 1994, 1995, 1996, 1997, 1998, 1999, # 2000, 2001, 2002, 2003, 2004, 2005, 2006, 2007, 2008 # Free Software Foundation, Inc. timestamp='2008-09-08' # This file is (in principle) common to ALL GNU software. # The presence of a machine in this file suggests that SOME GNU software # can handle that machine. It does not imply ALL GNU software can. # # This file 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., 51 Franklin Street - Fifth Floor, Boston, MA # 02110-1301, USA. # # 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. # Please send patches to . Submit a context # diff and a properly formatted ChangeLog entry. # # Configuration subroutine to validate and canonicalize a configuration type. # Supply the specified configuration type as an argument. # If it is invalid, we print an error message on stderr and exit with code 1. # Otherwise, we print the canonical config type on stdout and succeed. # This file is supposed to be the same for all GNU packages # and recognize all the CPU types, system types and aliases # that are meaningful with *any* GNU software. # Each package is responsible for reporting which valid configurations # it does not support. The user should be able to distinguish # a failure to support a valid configuration from a meaningless # configuration. # The goal of this file is to map all the various variations of a given # machine specification into a single specification in the form: # CPU_TYPE-MANUFACTURER-OPERATING_SYSTEM # or in some cases, the newer four-part form: # CPU_TYPE-MANUFACTURER-KERNEL-OPERATING_SYSTEM # It is wrong to echo any other type of specification. me=`echo "$0" | sed -e 's,.*/,,'` usage="\ Usage: $0 [OPTION] CPU-MFR-OPSYS $0 [OPTION] ALIAS Canonicalize a configuration name. Operation modes: -h, --help print this help, then exit -t, --time-stamp print date of last modification, then exit -v, --version print version number, then exit Report bugs and patches to ." version="\ GNU config.sub ($timestamp) Copyright (C) 1992, 1993, 1994, 1995, 1996, 1997, 1998, 1999, 2000, 2001, 2002, 2003, 2004, 2005, 2006, 2007, 2008 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." help=" Try \`$me --help' for more information." # Parse command line while test $# -gt 0 ; do case $1 in --time-stamp | --time* | -t ) echo "$timestamp" ; exit ;; --version | -v ) echo "$version" ; exit ;; --help | --h* | -h ) echo "$usage"; exit ;; -- ) # Stop option processing shift; break ;; - ) # Use stdin as input. break ;; -* ) echo "$me: invalid option $1$help" exit 1 ;; *local*) # First pass through any local machine types. echo $1 exit ;; * ) break ;; esac done case $# in 0) echo "$me: missing argument$help" >&2 exit 1;; 1) ;; *) echo "$me: too many arguments$help" >&2 exit 1;; esac # Separate what the user gave into CPU-COMPANY and OS or KERNEL-OS (if any). # Here we must recognize all the valid KERNEL-OS combinations. maybe_os=`echo $1 | sed 's/^\(.*\)-\([^-]*-[^-]*\)$/\2/'` case $maybe_os in nto-qnx* | linux-gnu* | linux-dietlibc | linux-newlib* | linux-uclibc* | \ uclinux-uclibc* | uclinux-gnu* | kfreebsd*-gnu* | knetbsd*-gnu* | netbsd*-gnu* | \ storm-chaos* | os2-emx* | rtmk-nova*) os=-$maybe_os basic_machine=`echo $1 | sed 's/^\(.*\)-\([^-]*-[^-]*\)$/\1/'` ;; *) basic_machine=`echo $1 | sed 's/-[^-]*$//'` if [ $basic_machine != $1 ] then os=`echo $1 | sed 's/.*-/-/'` else os=; fi ;; esac ### Let's recognize common machines as not being operating systems so ### that things like config.sub decstation-3100 work. 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) os= basic_machine=$1 ;; -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*) 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 $basic_machine in # Recognize the basic CPU types without company name. # Some are omitted here because they have special meanings below. 1750a | 580 \ | a29k \ | alpha | alphaev[4-8] | alphaev56 | alphaev6[78] | alphapca5[67] \ | alpha64 | alpha64ev[4-8] | alpha64ev56 | alpha64ev6[78] | alpha64pca5[67] \ | am33_2.0 \ | arc | arm | arm[bl]e | arme[lb] | armv[2345] | armv[345][lb] | avr | avr32 \ | bfin \ | c4x | clipper \ | d10v | d30v | dlx | dsp16xx \ | fido | fr30 | frv \ | h8300 | h8500 | hppa | hppa1.[01] | hppa2.0 | hppa2.0[nw] | hppa64 \ | i370 | i860 | i960 | ia64 \ | ip2k | iq2000 \ | m32c | m32r | m32rle | m68000 | m68k | m88k \ | maxq | mb | microblaze | mcore | mep | metag \ | mips | mipsbe | mipseb | mipsel | mipsle \ | mips16 \ | mips64 | mips64el \ | mips64octeon | mips64octeonel \ | mips64orion | mips64orionel \ | mips64r5900 | mips64r5900el \ | mips64vr | mips64vrel \ | mips64vr4100 | mips64vr4100el \ | mips64vr4300 | mips64vr4300el \ | mips64vr5000 | mips64vr5000el \ | mips64vr5900 | mips64vr5900el \ | mipsisa32 | mipsisa32el \ | mipsisa32r2 | mipsisa32r2el \ | mipsisa64 | mipsisa64el \ | mipsisa64r2 | mipsisa64r2el \ | mipsisa64sb1 | mipsisa64sb1el \ | mipsisa64sr71k | mipsisa64sr71kel \ | mipstx39 | mipstx39el \ | mn10200 | mn10300 \ | mt \ | msp430 \ | nios | nios2 \ | ns16k | ns32k \ | or32 \ | pdp10 | pdp11 | pj | pjl \ | powerpc | powerpc64 | powerpc64le | powerpcle | ppcbe \ | pyramid \ | score \ | sh | sh[1234] | sh[24]a | sh[23]e | sh[34]eb | sheb | shbe | shle | sh[1234]le | sh3ele \ | sh64 | sh64le \ | sparc | sparc64 | sparc64b | sparc64v | sparc86x | sparclet | sparclite \ | sparcv8 | sparcv9 | sparcv9b | sparcv9v \ | spu | strongarm \ | tahoe | thumb | tic4x | tic80 | tron \ | v850 | v850e \ | we32k \ | x86 | xc16x | xscale | xscalee[bl] | xstormy16 | xtensa \ | z8k | z80) basic_machine=$basic_machine-unknown ;; m6811 | m68hc11 | m6812 | m68hc12) # Motorola 68HC11/12. basic_machine=$basic_machine-unknown os=-none ;; m88110 | m680[12346]0 | m683?2 | m68360 | m5200 | v70 | w65 | z8k) ;; ms1) basic_machine=mt-unknown ;; # We use `pc' rather than `unknown' # because (1) that's what they normally are, and # (2) the word "unknown" tends to confuse beginning users. i*86 | x86_64) basic_machine=$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-* \ | alpha-* | alphaev[4-8]-* | alphaev56-* | alphaev6[78]-* \ | alpha64-* | alpha64ev[4-8]-* | alpha64ev56-* | alpha64ev6[78]-* \ | alphapca5[67]-* | alpha64pca5[67]-* | arc-* \ | arm-* | armbe-* | armle-* | armeb-* | armv*-* \ | avr-* | avr32-* \ | bfin-* | bs2000-* \ | c[123]* | c30-* | [cjt]90-* | c4x-* | c54x-* | c55x-* | c6x-* \ | clipper-* | craynv-* | cydra-* \ | d10v-* | d30v-* | dlx-* \ | elxsi-* \ | f30[01]-* | f700-* | fido-* | fr30-* | frv-* | fx80-* \ | h8300-* | h8500-* \ | hppa-* | hppa1.[01]-* | hppa2.0-* | hppa2.0[nw]-* | hppa64-* \ | i*86-* | i860-* | i960-* | ia64-* \ | ip2k-* | iq2000-* \ | m32c-* | m32r-* | m32rle-* \ | m68000-* | m680[012346]0-* | m68360-* | m683?2-* | m68k-* \ | m88110-* | m88k-* | maxq-* | mcore-* | 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-* \ | mipsisa64-* | mipsisa64el-* \ | mipsisa64r2-* | mipsisa64r2el-* \ | mipsisa64sb1-* | mipsisa64sb1el-* \ | mipsisa64sr71k-* | mipsisa64sr71kel-* \ | mipstx39-* | mipstx39el-* \ | mmix-* \ | mt-* \ | msp430-* \ | nios-* | nios2-* \ | none-* | np1-* | ns16k-* | ns32k-* \ | orion-* \ | pdp10-* | pdp11-* | pj-* | pjl-* | pn-* | power-* \ | powerpc-* | powerpc64-* | powerpc64le-* | powerpcle-* | ppcbe-* \ | pyramid-* \ | romp-* | rs6000-* \ | sh-* | sh[1234]-* | sh[24]a-* | 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-* | strongarm-* | sv1-* | sx?-* \ | tahoe-* | thumb-* \ | tic30-* | tic4x-* | tic54x-* | tic55x-* | tic6x-* | tic80-* | tile-* \ | tron-* \ | v850-* | v850e-* | vax-* \ | we32k-* \ | x86-* | x86_64-* | xc16x-* | xps100-* | xscale-* | xscalee[bl]-* \ | 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 ;; 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 ;; 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) 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 ;; 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'm not sure what "Sysv32" means. Should this be sysv3.2? 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 ;; 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 ;; mingw32) basic_machine=i386-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 ;; msdos) basic_machine=i386-pc os=-msdos ;; ms1-*) basic_machine=`echo $basic_machine | sed -e 's/ms1-/mt-/'` ;; mvs) basic_machine=i370-ibm os=-mvs ;; 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 ;; nsr-tandem) basic_machine=nsr-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) basic_machine=powerpc-unknown ;; ppc-*) basic_machine=powerpc-`echo $basic_machine | sed 's/^[^-]*-//'` ;; ppcle | powerpclittle | ppc-le | powerpc-little) 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 | ppc64-le | powerpc64-little) basic_machine=powerpc64le-unknown ;; ppc64le-* | powerpc64little-*) basic_machine=powerpc64le-`echo $basic_machine | sed 's/^[^-]*-//'` ;; ps2) basic_machine=i386-ibm ;; pw32) basic_machine=i586-unknown os=-pw32 ;; rdos) basic_machine=i386-pc os=-rdos ;; rom68k) basic_machine=m68k-rom68k os=-coff ;; rm[46]00) basic_machine=mips-siemens ;; rtpc | rtpc-*) basic_machine=romp-ibm ;; s390 | s390-*) basic_machine=s390-ibm ;; s390x | s390x-*) basic_machine=s390x-ibm ;; sa29200) basic_machine=a29k-amd os=-udi ;; sb1) basic_machine=mipsisa64sb1-unknown ;; sb1el) basic_machine=mipsisa64sb1el-unknown ;; sde) basic_machine=mipsisa32-sde os=-elf ;; sei) basic_machine=mips-sei os=-seiux ;; sequent) basic_machine=i386-sequent ;; sh) basic_machine=sh-hitachi os=-hms ;; sh5el) basic_machine=sh5le-unknown ;; sh64) basic_machine=sh64-unknown ;; sparclite-wrs | simso-wrs) basic_machine=sparclite-wrs os=-vxworks ;; sps7) basic_machine=m68k-bull os=-sysv2 ;; spur) basic_machine=spur-unknown ;; st2000) basic_machine=m68k-tandem ;; stratus) basic_machine=i860-stratus os=-sysv4 ;; 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" >&6; } LN_S=$as_ln_s if test "$LN_S" = "ln -s"; then { $as_echo "$as_me:$LINENO: result: yes" >&5 $as_echo "yes" >&6; } else { $as_echo "$as_me:$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:$LINENO: checking the maximum length of command line arguments" >&5 $as_echo_n "checking the maximum length of command line arguments... " >&6; } if test "${lt_cv_sys_max_cmd_len+set}" = set; 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; ;; 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; ;; netbsd* | freebsd* | openbsd* | darwin* | dragonfly*) # 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 $lt_cv_sys_max_cmd_len \* 3` ;; interix*) # We know the value 262144 and hardcode it with a safety zone (like BSD) lt_cv_sys_max_cmd_len=196608 ;; osf*) # Dr. Hans Ekkehard Plesser reports seeing a kernel panic running configure # due to this test when exec_disable_arg_limit is 1 on Tru64. It is not # nice to cause kernel panics so lets avoid the loop below. # First set a reasonable default. lt_cv_sys_max_cmd_len=16384 # if test -x /sbin/sysconfig; then case `/sbin/sysconfig -q proc exec_disable_arg_limit` in *1*) lt_cv_sys_max_cmd_len=-1 ;; esac fi ;; sco3.2v5*) lt_cv_sys_max_cmd_len=102400 ;; sysv5* | sco5v6* | sysv4.2uw2*) kargmax=`grep ARG_MAX /etc/conf/cf.d/stune 2>/dev/null` if test -n "$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"; 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-${CONFIG_SHELL-/bin/sh}} # If test is not a shell built-in, we'll probably end up computing a # maximum length that is only half of the actual maximum length, but # we can't tell. while { test "X"`$SHELL $0 --fallback-echo "X$teststring$teststring" 2>/dev/null` \ = "XX$teststring$teststring"; } >/dev/null 2>&1 && test $i != 17 # 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:$LINENO: result: $lt_cv_sys_max_cmd_len" >&5 $as_echo "$lt_cv_sys_max_cmd_len" >&6; } else { $as_echo "$as_me:$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"} { $as_echo "$as_me:$LINENO: checking whether the shell understands some XSI constructs" >&5 $as_echo_n "checking whether the shell understands some XSI constructs... " >&6; } # Try some XSI features xsi_shell=no ( _lt_dummy="a/b/c" test "${_lt_dummy##*/},${_lt_dummy%/*},"${_lt_dummy%"$_lt_dummy"}, \ = c,a/b,, \ && eval 'test $(( 1 + 1 )) -eq 2 \ && test "${#_lt_dummy}" -eq 5' ) >/dev/null 2>&1 \ && xsi_shell=yes { $as_echo "$as_me:$LINENO: result: $xsi_shell" >&5 $as_echo "$xsi_shell" >&6; } { $as_echo "$as_me:$LINENO: checking whether the shell understands \"+=\"" >&5 $as_echo_n "checking whether the shell understands \"+=\"... " >&6; } lt_shell_append=no ( foo=bar; set foo baz; eval "$1+=\$2" && test "$foo" = barbaz ) \ >/dev/null 2>&1 \ && lt_shell_append=yes { $as_echo "$as_me:$LINENO: result: $lt_shell_append" >&5 $as_echo "$lt_shell_append" >&6; } 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:$LINENO: checking for $LD option to reload object files" >&5 $as_echo_n "checking for $LD option to reload object files... " >&6; } if test "${lt_cv_ld_reload_flag+set}" = set; then $as_echo_n "(cached) " >&6 else lt_cv_ld_reload_flag='-r' fi { $as_echo "$as_me:$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 $host_os in darwin*) if test "$GCC" = yes; 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:$LINENO: checking for $ac_word" >&5 $as_echo_n "checking for $ac_word... " >&6; } if test "${ac_cv_prog_OBJDUMP+set}" = set; 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 '' $ac_executable_extensions; do if { test -f "$as_dir/$ac_word$ac_exec_ext" && $as_test_x "$as_dir/$ac_word$ac_exec_ext"; }; then ac_cv_prog_OBJDUMP="${ac_tool_prefix}objdump" $as_echo "$as_me:$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:$LINENO: result: $OBJDUMP" >&5 $as_echo "$OBJDUMP" >&6; } else { $as_echo "$as_me:$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:$LINENO: checking for $ac_word" >&5 $as_echo_n "checking for $ac_word... " >&6; } if test "${ac_cv_prog_ac_ct_OBJDUMP+set}" = set; 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 '' $ac_executable_extensions; do if { test -f "$as_dir/$ac_word$ac_exec_ext" && $as_test_x "$as_dir/$ac_word$ac_exec_ext"; }; then ac_cv_prog_ac_ct_OBJDUMP="objdump" $as_echo "$as_me:$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:$LINENO: result: $ac_ct_OBJDUMP" >&5 $as_echo "$ac_ct_OBJDUMP" >&6; } else { $as_echo "$as_me:$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:$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:$LINENO: checking how to recognize dependent libraries" >&5 $as_echo_n "checking how to recognize dependent libraries... " >&6; } if test "${lt_cv_deplibs_check_method+set}" = set; 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 # which 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 $host_os in aix[4-9]*) lt_cv_deplibs_check_method=pass_all ;; beos*) lt_cv_deplibs_check_method=pass_all ;; bsdi[45]*) lt_cv_deplibs_check_method='file_magic ELF [0-9][0-9]*-bit [ML]SB (shared object|dynamic lib)' lt_cv_file_magic_cmd='/usr/bin/file -L' lt_cv_file_magic_test_file=/shlib/libc.so ;; cygwin*) # func_win32_libid is a shell function defined in ltmain.sh lt_cv_deplibs_check_method='file_magic ^x86 archive import|^x86 DLL' lt_cv_file_magic_cmd='func_win32_libid' ;; mingw* | pw32*) # Base MSYS/MinGW do not provide the 'file' command needed by # func_win32_libid shell function, so use a weaker test based on 'objdump', # unless we find 'file', for example because we are cross-compiling. if ( file / ) >/dev/null 2>&1; then lt_cv_deplibs_check_method='file_magic ^x86 archive import|^x86 DLL' lt_cv_file_magic_cmd='func_win32_libid' else lt_cv_deplibs_check_method='file_magic file format pei*-i386(.*architecture: i386)?' lt_cv_file_magic_cmd='$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 ;; gnu*) lt_cv_deplibs_check_method=pass_all ;; hpux10.20* | hpux11*) lt_cv_file_magic_cmd=/usr/bin/file case $host_cpu in ia64*) lt_cv_deplibs_check_method='file_magic (s[0-9][0-9][0-9]|ELF-[0-9][0-9]) shared object file - IA64' lt_cv_file_magic_test_file=/usr/lib/hpux32/libc.so ;; hppa*64*) lt_cv_deplibs_check_method='file_magic (s[0-9][0-9][0-9]|ELF-[0-9][0-9]) shared object file - PA-RISC [0-9].[0-9]' lt_cv_file_magic_test_file=/usr/lib/pa20_64/libc.sl ;; *) lt_cv_deplibs_check_method='file_magic (s[0-9][0-9][0-9]|PA-RISC[0-9].[0-9]) shared library' lt_cv_file_magic_test_file=/usr/lib/libc.sl ;; esac ;; interix[3-9]*) # PIC code is broken on Interix 3.x, that's why |\.a not |_pic\.a here lt_cv_deplibs_check_method='match_pattern /lib[^/]+(\.so|\.a)$' ;; 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 Linux ELF. linux* | k*bsd*-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*) if test -z "`echo __ELF__ | $CC -E - | $GREP __ELF__`" || test "$host_os-$host_cpu" = "openbsd2.8-powerpc"; then lt_cv_deplibs_check_method='match_pattern /lib[^/]+(\.so\.[0-9]+\.[0-9]+|\.so|_pic\.a)$' 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 ;; esac fi { $as_echo "$as_me:$LINENO: result: $lt_cv_deplibs_check_method" >&5 $as_echo "$lt_cv_deplibs_check_method" >&6; } 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}ar", so it can be a program name with args. set dummy ${ac_tool_prefix}ar; ac_word=$2 { $as_echo "$as_me:$LINENO: checking for $ac_word" >&5 $as_echo_n "checking for $ac_word... " >&6; } if test "${ac_cv_prog_AR+set}" = set; 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 '' $ac_executable_extensions; do if { test -f "$as_dir/$ac_word$ac_exec_ext" && $as_test_x "$as_dir/$ac_word$ac_exec_ext"; }; then ac_cv_prog_AR="${ac_tool_prefix}ar" $as_echo "$as_me:$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:$LINENO: result: $AR" >&5 $as_echo "$AR" >&6; } else { $as_echo "$as_me:$LINENO: result: no" >&5 $as_echo "no" >&6; } fi fi if test -z "$ac_cv_prog_AR"; then ac_ct_AR=$AR # Extract the first word of "ar", so it can be a program name with args. set dummy ar; ac_word=$2 { $as_echo "$as_me:$LINENO: checking for $ac_word" >&5 $as_echo_n "checking for $ac_word... " >&6; } if test "${ac_cv_prog_ac_ct_AR+set}" = set; 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 '' $ac_executable_extensions; do if { test -f "$as_dir/$ac_word$ac_exec_ext" && $as_test_x "$as_dir/$ac_word$ac_exec_ext"; }; then ac_cv_prog_ac_ct_AR="ar" $as_echo "$as_me:$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:$LINENO: result: $ac_ct_AR" >&5 $as_echo "$ac_ct_AR" >&6; } else { $as_echo "$as_me:$LINENO: result: no" >&5 $as_echo "no" >&6; } fi if test "x$ac_ct_AR" = x; then AR="false" else case $cross_compiling:$ac_tool_warned in yes:) { $as_echo "$as_me:$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=$ac_ct_AR fi else AR="$ac_cv_prog_AR" fi test -z "$AR" && AR=ar test -z "$AR_FLAGS" && AR_FLAGS=cru 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:$LINENO: checking for $ac_word" >&5 $as_echo_n "checking for $ac_word... " >&6; } if test "${ac_cv_prog_STRIP+set}" = set; 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 '' $ac_executable_extensions; do if { test -f "$as_dir/$ac_word$ac_exec_ext" && $as_test_x "$as_dir/$ac_word$ac_exec_ext"; }; then ac_cv_prog_STRIP="${ac_tool_prefix}strip" $as_echo "$as_me:$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:$LINENO: result: $STRIP" >&5 $as_echo "$STRIP" >&6; } else { $as_echo "$as_me:$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:$LINENO: checking for $ac_word" >&5 $as_echo_n "checking for $ac_word... " >&6; } if test "${ac_cv_prog_ac_ct_STRIP+set}" = set; 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 '' $ac_executable_extensions; do if { test -f "$as_dir/$ac_word$ac_exec_ext" && $as_test_x "$as_dir/$ac_word$ac_exec_ext"; }; then ac_cv_prog_ac_ct_STRIP="strip" $as_echo "$as_me:$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:$LINENO: result: $ac_ct_STRIP" >&5 $as_echo "$ac_ct_STRIP" >&6; } else { $as_echo "$as_me:$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:$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:$LINENO: checking for $ac_word" >&5 $as_echo_n "checking for $ac_word... " >&6; } if test "${ac_cv_prog_RANLIB+set}" = set; 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 '' $ac_executable_extensions; do if { test -f "$as_dir/$ac_word$ac_exec_ext" && $as_test_x "$as_dir/$ac_word$ac_exec_ext"; }; then ac_cv_prog_RANLIB="${ac_tool_prefix}ranlib" $as_echo "$as_me:$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:$LINENO: result: $RANLIB" >&5 $as_echo "$RANLIB" >&6; } else { $as_echo "$as_me:$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:$LINENO: checking for $ac_word" >&5 $as_echo_n "checking for $ac_word... " >&6; } if test "${ac_cv_prog_ac_ct_RANLIB+set}" = set; 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 '' $ac_executable_extensions; do if { test -f "$as_dir/$ac_word$ac_exec_ext" && $as_test_x "$as_dir/$ac_word$ac_exec_ext"; }; then ac_cv_prog_ac_ct_RANLIB="ranlib" $as_echo "$as_me:$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:$LINENO: result: $ac_ct_RANLIB" >&5 $as_echo "$ac_ct_RANLIB" >&6; } else { $as_echo "$as_me:$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:$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 $host_os in openbsd*) old_postinstall_cmds="$old_postinstall_cmds~\$RANLIB -t \$oldlib" ;; *) old_postinstall_cmds="$old_postinstall_cmds~\$RANLIB \$oldlib" ;; esac old_archive_cmds="$old_archive_cmds~\$RANLIB \$oldlib" fi # 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:$LINENO: checking command to parse $NM output from $compiler object" >&5 $as_echo_n "checking command to parse $NM output from $compiler object... " >&6; } if test "${lt_cv_sys_global_symbol_pipe+set}" = set; 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 $host_os in aix*) symcode='[BCDT]' ;; cygwin* | mingw* | pw32* | cegcc*) symcode='[ABCDGISTW]' ;; hpux*) if test "$host_cpu" = ia64; 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 # 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 -e 's/^T .* \(.*\)$/extern int \1();/p' -e 's/^$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 -e 's/^: \([^ ]*\) $/ {\\\"\1\\\", (void *) 0},/p' -e 's/^$symcode* \([^ ]*\) \([^ ]*\)$/ {\"\2\", (void *) \&\2},/p'" lt_cv_sys_global_symbol_to_c_name_address_lib_prefix="sed -n -e 's/^: \([^ ]*\) $/ {\\\"\1\\\", (void *) 0},/p' -e 's/^$symcode* \([^ ]*\) \(lib[^ ]*\)$/ {\"\2\", (void *) \&\2},/p' -e 's/^$symcode* \([^ ]*\) \([^ ]*\)$/ {\"lib\2\", (void *) \&\2},/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 # and D for any global 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};"\ " /Section length .*#relocs.*(pick any)/{hide[last_section]=1};"\ " \$ 0!~/External *\|/{next};"\ " / 0+ UNDEF /{next}; / UNDEF \([^|]\)*()/{next};"\ " {if(hide[section]) next};"\ " {f=0}; \$ 0~/\(\).*\|/{f=1}; {printf f ? \"T \" : \"D \"};"\ " {split(\$ 0, a, /\||\r/); split(a[2], s)};"\ " s[1]~/^[@?]/{print s[1], s[1]; next};"\ " s[1]~prfx {split(s[1],t,\"@\"); print 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$opt_cr$/$symxfrm/p'" fi # Check to see that the pipe works correctly. pipe_works=no rm -f conftest* cat > conftest.$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 "$as_me:$LINENO: \"$ac_compile\"") >&5 (eval $ac_compile) 2>&5 ac_status=$? $as_echo "$as_me:$LINENO: \$? = $ac_status" >&5 (exit $ac_status); }; then # Now try to grab the symbols. nlist=conftest.nm if { (eval echo "$as_me:$LINENO: \"$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:$LINENO: \$? = $ac_status" >&5 (exit $ac_status); } && test -s "$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 #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. */ const struct { const char *name; void *address; } lt__PROGRAM__LTX_preloaded_symbols[] = { { "@PROGRAM@", (void *) 0 }, _LT_EOF $SED "s/^$symcode$symcode* \(.*\) \(.*\)$/ {\"\2\", (void *) \&\2},/" < "$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.$ac_objext lt_save_LIBS="$LIBS" lt_save_CFLAGS="$CFLAGS" LIBS="conftstm.$ac_objext" CFLAGS="$CFLAGS$lt_prog_compiler_no_builtin_flag" if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 (eval $ac_link) 2>&5 ac_status=$? $as_echo "$as_me:$LINENO: \$? = $ac_status" >&5 (exit $ac_status); } && test -s conftest${ac_exeext}; then pipe_works=yes fi LIBS="$lt_save_LIBS" CFLAGS="$lt_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.$ac_ext >&5 fi rm -rf conftest* conftst* # Do not use the global_symbol_pipe unless it works. if test "$pipe_works" = yes; 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:$LINENO: result: failed" >&5 $as_echo "failed" >&6; } else { $as_echo "$as_me:$LINENO: result: ok" >&5 $as_echo "ok" >&6; } fi # Check whether --enable-libtool-lock was given. if test "${enable_libtool_lock+set}" = set; then enableval=$enable_libtool_lock; fi test "x$enable_libtool_lock" != xno && enable_libtool_lock=yes # Some flags need to be propagated to the compiler or linker for good # libtool support. case $host in ia64-*-hpux*) # Find out which ABI we are using. echo 'int i;' > conftest.$ac_ext if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 (eval $ac_compile) 2>&5 ac_status=$? $as_echo "$as_me:$LINENO: \$? = $ac_status" >&5 (exit $ac_status); }; then case `/usr/bin/file conftest.$ac_objext` in *ELF-32*) HPUX_IA64_MODE="32" ;; *ELF-64*) HPUX_IA64_MODE="64" ;; esac fi rm -rf conftest* ;; *-*-irix6*) # Find out which ABI we are using. echo '#line 5606 "configure"' > conftest.$ac_ext if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 (eval $ac_compile) 2>&5 ac_status=$? $as_echo "$as_me:$LINENO: \$? = $ac_status" >&5 (exit $ac_status); }; then if test "$lt_cv_prog_gnu_ld" = yes; 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* ;; x86_64-*kfreebsd*-gnu|x86_64-*linux*|ppc*-*linux*|powerpc*-*linux*| \ s390*-*linux*|s390*-*tpf*|sparc*-*linux*) # Find out which ABI we are using. echo 'int i;' > conftest.$ac_ext if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 (eval $ac_compile) 2>&5 ac_status=$? $as_echo "$as_me:$LINENO: \$? = $ac_status" >&5 (exit $ac_status); }; 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*) LD="${LD-ld} -m elf_i386" ;; ppc64-*linux*|powerpc64-*linux*) LD="${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="${LD-ld} -m elf_x86_64" ;; ppc*-*linux*|powerpc*-*linux*) LD="${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:$LINENO: checking whether the C compiler needs -belf" >&5 $as_echo_n "checking whether the C compiler needs -belf... " >&6; } if test "${lt_cv_cc_needs_belf+set}" = set; 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 >conftest.$ac_ext <<_ACEOF /* confdefs.h. */ _ACEOF cat confdefs.h >>conftest.$ac_ext cat >>conftest.$ac_ext <<_ACEOF /* end confdefs.h. */ int main () { ; return 0; } _ACEOF rm -f conftest.$ac_objext conftest$ac_exeext if { (ac_try="$ac_link" case "(($ac_try" in *\"* | *\`* | *\\*) ac_try_echo=\$ac_try;; *) ac_try_echo=$ac_try;; esac eval ac_try_echo="\"\$as_me:$LINENO: $ac_try_echo\"" $as_echo "$ac_try_echo") >&5 (eval "$ac_link") 2>conftest.er1 ac_status=$? grep -v '^ *+' conftest.er1 >conftest.err rm -f conftest.er1 cat conftest.err >&5 $as_echo "$as_me:$LINENO: \$? = $ac_status" >&5 (exit $ac_status); } && { test -z "$ac_c_werror_flag" || test ! -s conftest.err } && test -s conftest$ac_exeext && { test "$cross_compiling" = yes || $as_test_x conftest$ac_exeext }; then lt_cv_cc_needs_belf=yes else $as_echo "$as_me: failed program was:" >&5 sed 's/^/| /' conftest.$ac_ext >&5 lt_cv_cc_needs_belf=no fi rm -rf conftest.dSYM rm -f core conftest.err conftest.$ac_objext conftest_ipa8_conftest.oo \ 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:$LINENO: result: $lt_cv_cc_needs_belf" >&5 $as_echo "$lt_cv_cc_needs_belf" >&6; } if test x"$lt_cv_cc_needs_belf" != x"yes"; then # this is probably gcc 2.8.0, egcs 1.0 or newer; no need for -belf CFLAGS="$SAVE_CFLAGS" fi ;; sparc*-*solaris*) # Find out which ABI we are using. echo 'int i;' > conftest.$ac_ext if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 (eval $ac_compile) 2>&5 ac_status=$? $as_echo "$as_me:$LINENO: \$? = $ac_status" >&5 (exit $ac_status); }; then case `/usr/bin/file conftest.o` in *64-bit*) case $lt_cv_prog_gnu_ld in yes*) LD="${LD-ld} -m elf64_sparc" ;; *) 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" 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:$LINENO: checking for $ac_word" >&5 $as_echo_n "checking for $ac_word... " >&6; } if test "${ac_cv_prog_DSYMUTIL+set}" = set; 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 '' $ac_executable_extensions; do if { test -f "$as_dir/$ac_word$ac_exec_ext" && $as_test_x "$as_dir/$ac_word$ac_exec_ext"; }; then ac_cv_prog_DSYMUTIL="${ac_tool_prefix}dsymutil" $as_echo "$as_me:$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:$LINENO: result: $DSYMUTIL" >&5 $as_echo "$DSYMUTIL" >&6; } else { $as_echo "$as_me:$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:$LINENO: checking for $ac_word" >&5 $as_echo_n "checking for $ac_word... " >&6; } if test "${ac_cv_prog_ac_ct_DSYMUTIL+set}" = set; 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 '' $ac_executable_extensions; do if { test -f "$as_dir/$ac_word$ac_exec_ext" && $as_test_x "$as_dir/$ac_word$ac_exec_ext"; }; then ac_cv_prog_ac_ct_DSYMUTIL="dsymutil" $as_echo "$as_me:$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:$LINENO: result: $ac_ct_DSYMUTIL" >&5 $as_echo "$ac_ct_DSYMUTIL" >&6; } else { $as_echo "$as_me:$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:$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:$LINENO: checking for $ac_word" >&5 $as_echo_n "checking for $ac_word... " >&6; } if test "${ac_cv_prog_NMEDIT+set}" = set; 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 '' $ac_executable_extensions; do if { test -f "$as_dir/$ac_word$ac_exec_ext" && $as_test_x "$as_dir/$ac_word$ac_exec_ext"; }; then ac_cv_prog_NMEDIT="${ac_tool_prefix}nmedit" $as_echo "$as_me:$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:$LINENO: result: $NMEDIT" >&5 $as_echo "$NMEDIT" >&6; } else { $as_echo "$as_me:$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:$LINENO: checking for $ac_word" >&5 $as_echo_n "checking for $ac_word... " >&6; } if test "${ac_cv_prog_ac_ct_NMEDIT+set}" = set; 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 '' $ac_executable_extensions; do if { test -f "$as_dir/$ac_word$ac_exec_ext" && $as_test_x "$as_dir/$ac_word$ac_exec_ext"; }; then ac_cv_prog_ac_ct_NMEDIT="nmedit" $as_echo "$as_me:$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:$LINENO: result: $ac_ct_NMEDIT" >&5 $as_echo "$ac_ct_NMEDIT" >&6; } else { $as_echo "$as_me:$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:$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:$LINENO: checking for $ac_word" >&5 $as_echo_n "checking for $ac_word... " >&6; } if test "${ac_cv_prog_LIPO+set}" = set; 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 '' $ac_executable_extensions; do if { test -f "$as_dir/$ac_word$ac_exec_ext" && $as_test_x "$as_dir/$ac_word$ac_exec_ext"; }; then ac_cv_prog_LIPO="${ac_tool_prefix}lipo" $as_echo "$as_me:$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:$LINENO: result: $LIPO" >&5 $as_echo "$LIPO" >&6; } else { $as_echo "$as_me:$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:$LINENO: checking for $ac_word" >&5 $as_echo_n "checking for $ac_word... " >&6; } if test "${ac_cv_prog_ac_ct_LIPO+set}" = set; 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 '' $ac_executable_extensions; do if { test -f "$as_dir/$ac_word$ac_exec_ext" && $as_test_x "$as_dir/$ac_word$ac_exec_ext"; }; then ac_cv_prog_ac_ct_LIPO="lipo" $as_echo "$as_me:$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:$LINENO: result: $ac_ct_LIPO" >&5 $as_echo "$ac_ct_LIPO" >&6; } else { $as_echo "$as_me:$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:$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:$LINENO: checking for $ac_word" >&5 $as_echo_n "checking for $ac_word... " >&6; } if test "${ac_cv_prog_OTOOL+set}" = set; 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 '' $ac_executable_extensions; do if { test -f "$as_dir/$ac_word$ac_exec_ext" && $as_test_x "$as_dir/$ac_word$ac_exec_ext"; }; then ac_cv_prog_OTOOL="${ac_tool_prefix}otool" $as_echo "$as_me:$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:$LINENO: result: $OTOOL" >&5 $as_echo "$OTOOL" >&6; } else { $as_echo "$as_me:$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:$LINENO: checking for $ac_word" >&5 $as_echo_n "checking for $ac_word... " >&6; } if test "${ac_cv_prog_ac_ct_OTOOL+set}" = set; 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 '' $ac_executable_extensions; do if { test -f "$as_dir/$ac_word$ac_exec_ext" && $as_test_x "$as_dir/$ac_word$ac_exec_ext"; }; then ac_cv_prog_ac_ct_OTOOL="otool" $as_echo "$as_me:$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:$LINENO: result: $ac_ct_OTOOL" >&5 $as_echo "$ac_ct_OTOOL" >&6; } else { $as_echo "$as_me:$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:$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:$LINENO: checking for $ac_word" >&5 $as_echo_n "checking for $ac_word... " >&6; } if test "${ac_cv_prog_OTOOL64+set}" = set; 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 '' $ac_executable_extensions; do if { test -f "$as_dir/$ac_word$ac_exec_ext" && $as_test_x "$as_dir/$ac_word$ac_exec_ext"; }; then ac_cv_prog_OTOOL64="${ac_tool_prefix}otool64" $as_echo "$as_me:$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:$LINENO: result: $OTOOL64" >&5 $as_echo "$OTOOL64" >&6; } else { $as_echo "$as_me:$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:$LINENO: checking for $ac_word" >&5 $as_echo_n "checking for $ac_word... " >&6; } if test "${ac_cv_prog_ac_ct_OTOOL64+set}" = set; 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 '' $ac_executable_extensions; do if { test -f "$as_dir/$ac_word$ac_exec_ext" && $as_test_x "$as_dir/$ac_word$ac_exec_ext"; }; then ac_cv_prog_ac_ct_OTOOL64="otool64" $as_echo "$as_me:$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:$LINENO: result: $ac_ct_OTOOL64" >&5 $as_echo "$ac_ct_OTOOL64" >&6; } else { $as_echo "$as_me:$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:$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:$LINENO: checking for -single_module linker flag" >&5 $as_echo_n "checking for -single_module linker flag... " >&6; } if test "${lt_cv_apple_cc_single_mod+set}" = set; then $as_echo_n "(cached) " >&6 else lt_cv_apple_cc_single_mod=no if test -z "${LT_MULTI_MODULE}"; then # By default we will add the -single_module flag. You can override # by either setting the environment variable LT_MULTI_MODULE # non-empty at configure time, or by adding -multi_module to the # link flags. rm -rf libconftest.dylib* echo "int foo(void){return 1;}" > conftest.c echo "$LTCC $LTCFLAGS $LDFLAGS -o libconftest.dylib \ -dynamiclib -Wl,-single_module conftest.c" >&5 $LTCC $LTCFLAGS $LDFLAGS -o libconftest.dylib \ -dynamiclib -Wl,-single_module conftest.c 2>conftest.err _lt_result=$? if test -f libconftest.dylib && test ! -s conftest.err && test $_lt_result = 0; then lt_cv_apple_cc_single_mod=yes else cat conftest.err >&5 fi rm -rf libconftest.dylib* rm -f conftest.* fi fi { $as_echo "$as_me:$LINENO: result: $lt_cv_apple_cc_single_mod" >&5 $as_echo "$lt_cv_apple_cc_single_mod" >&6; } { $as_echo "$as_me:$LINENO: checking for -exported_symbols_list linker flag" >&5 $as_echo_n "checking for -exported_symbols_list linker flag... " >&6; } if test "${lt_cv_ld_exported_symbols_list+set}" = set; then $as_echo_n "(cached) " >&6 else lt_cv_ld_exported_symbols_list=no save_LDFLAGS=$LDFLAGS echo "_main" > conftest.sym LDFLAGS="$LDFLAGS -Wl,-exported_symbols_list,conftest.sym" cat >conftest.$ac_ext <<_ACEOF /* confdefs.h. */ _ACEOF cat confdefs.h >>conftest.$ac_ext cat >>conftest.$ac_ext <<_ACEOF /* end confdefs.h. */ int main () { ; return 0; } _ACEOF rm -f conftest.$ac_objext conftest$ac_exeext if { (ac_try="$ac_link" case "(($ac_try" in *\"* | *\`* | *\\*) ac_try_echo=\$ac_try;; *) ac_try_echo=$ac_try;; esac eval ac_try_echo="\"\$as_me:$LINENO: $ac_try_echo\"" $as_echo "$ac_try_echo") >&5 (eval "$ac_link") 2>conftest.er1 ac_status=$? grep -v '^ *+' conftest.er1 >conftest.err rm -f conftest.er1 cat conftest.err >&5 $as_echo "$as_me:$LINENO: \$? = $ac_status" >&5 (exit $ac_status); } && { test -z "$ac_c_werror_flag" || test ! -s conftest.err } && test -s conftest$ac_exeext && { test "$cross_compiling" = yes || $as_test_x conftest$ac_exeext }; then lt_cv_ld_exported_symbols_list=yes else $as_echo "$as_me: failed program was:" >&5 sed 's/^/| /' conftest.$ac_ext >&5 lt_cv_ld_exported_symbols_list=no fi rm -rf conftest.dSYM rm -f core conftest.err conftest.$ac_objext conftest_ipa8_conftest.oo \ conftest$ac_exeext conftest.$ac_ext LDFLAGS="$save_LDFLAGS" fi { $as_echo "$as_me:$LINENO: result: $lt_cv_ld_exported_symbols_list" >&5 $as_echo "$lt_cv_ld_exported_symbols_list" >&6; } case $host_os in rhapsody* | darwin1.[012]) _lt_dar_allow_undefined='${wl}-undefined ${wl}suppress' ;; darwin1.*) _lt_dar_allow_undefined='${wl}-flat_namespace ${wl}-undefined ${wl}suppress' ;; darwin*) # darwin 5.x on # if running on 10.5 or later, the deployment target defaults # to the OS version, if on x86, and 10.4, the deployment # target defaults to 10.4. 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If you *** really care for shared libraries, you may want to modify your PATH *** so that a non-GNU linker is found, and then restart. _LT_EOF 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 $lib' archive_expsym_cmds='' ;; m68k) archive_cmds='$RM $output_objdir/a2ixlibrary.data~$ECHO "#define NAME $libname" > $output_objdir/a2ixlibrary.data~$ECHO "#define LIBRARY_ID 1" >> $output_objdir/a2ixlibrary.data~$ECHO "#define VERSION $major" >> $output_objdir/a2ixlibrary.data~$ECHO "#define REVISION $revision" >> $output_objdir/a2ixlibrary.data~$AR $AR_FLAGS $lib $libobjs~$RANLIB $lib~(cd $output_objdir && a2ixlibrary -32)' hardcode_libdir_flag_spec='-L$libdir' hardcode_minus_L=yes ;; esac ;; beos*) if $LD --help 2>&1 | $GREP ': supported targets:.* elf' > /dev/null; then allow_undefined_flag=unsupported # Joseph Beckenbach says some releases of gcc # support --undefined. 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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 | $GREP ': supported targets:.* elf' > /dev/null; then archive_cmds='$CC -shared $libobjs $deplibs $compiler_flags ${wl}-soname $wl$soname -o $lib' archive_expsym_cmds='$CC -shared $libobjs $deplibs $compiler_flags ${wl}-soname $wl$soname ${wl}-retain-symbols-file $wl$export_symbols -o $lib' else ld_shlibs=no fi ;; sysv5* | sco3.2v5* | sco5v6* | unixware* | OpenUNIX*) case `$LD -v 2>&1` in *\ [01].* | *\ 2.[0-9].* | *\ 2.1[0-5].*) ld_shlibs=no cat <<_LT_EOF 1>&2 *** Warning: Releases of the GNU linker prior to 2.16.91.0.3 can not *** reliably create shared libraries on SCO systems. Therefore, libtool *** is disabling shared libraries support. 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The following line is correct: shared_flag='-G' else if test "$aix_use_runtimelinking" = yes; then shared_flag='${wl}-G' else shared_flag='${wl}-bM:SRE' fi fi fi export_dynamic_flag_spec='${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 "$aix_use_runtimelinking" = yes; then # Warning - without using the other runtime loading flags (-brtl), # -berok will link without error, but may produce a broken library. allow_undefined_flag='-berok' # Determine the default libpath from the value encoded in an # empty executable. cat >conftest.$ac_ext <<_ACEOF /* confdefs.h. */ _ACEOF cat confdefs.h >>conftest.$ac_ext cat >>conftest.$ac_ext <<_ACEOF /* end confdefs.h. */ int main () { ; return 0; } _ACEOF rm -f conftest.$ac_objext conftest$ac_exeext if { (ac_try="$ac_link" case "(($ac_try" in *\"* | *\`* | *\\*) ac_try_echo=\$ac_try;; *) ac_try_echo=$ac_try;; esac eval ac_try_echo="\"\$as_me:$LINENO: $ac_try_echo\"" $as_echo "$ac_try_echo") >&5 (eval "$ac_link") 2>conftest.er1 ac_status=$? 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grep -v '^ *+' conftest.er1 >conftest.err rm -f conftest.er1 cat conftest.err >&5 $as_echo "$as_me:$LINENO: \$? = $ac_status" >&5 (exit $ac_status); } && { test -z "$ac_c_werror_flag" || test ! -s conftest.err } && test -s conftest$ac_exeext && { test "$cross_compiling" = yes || $as_test_x conftest$ac_exeext }; then lt_aix_libpath_sed=' /Import File Strings/,/^$/ { /^0/ { s/^0 *\(.*\)$/\1/ p } }' aix_libpath=`dump -H conftest$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 "$aix_libpath"; then aix_libpath=`dump -HX64 conftest$ac_exeext 2>/dev/null | $SED -n -e "$lt_aix_libpath_sed"` fi else $as_echo "$as_me: failed program was:" >&5 sed 's/^/| /' conftest.$ac_ext >&5 fi rm -rf conftest.dSYM rm -f core conftest.err conftest.$ac_objext conftest_ipa8_conftest.oo \ conftest$ac_exeext conftest.$ac_ext if test -z "$aix_libpath"; then aix_libpath="/usr/lib:/lib"; fi hardcode_libdir_flag_spec='${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=' ${wl}-berok' # Exported symbols can be pulled into shared objects from archives whole_archive_flag_spec='$convenience' archive_cmds_need_lc=yes # This is similar to how AIX traditionally builds its shared libraries. archive_expsym_cmds="\$CC $shared_flag"' -o $output_objdir/$soname $libobjs $deplibs ${wl}-bnoentry $compiler_flags ${wl}-bE:$export_symbols${allow_undefined_flag}~$AR $AR_FLAGS $output_objdir/$libname$release.a $output_objdir/$soname' 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 $lib' archive_expsym_cmds='' ;; m68k) archive_cmds='$RM $output_objdir/a2ixlibrary.data~$ECHO "#define NAME $libname" > $output_objdir/a2ixlibrary.data~$ECHO "#define LIBRARY_ID 1" >> $output_objdir/a2ixlibrary.data~$ECHO "#define VERSION $major" >> $output_objdir/a2ixlibrary.data~$ECHO "#define REVISION $revision" >> $output_objdir/a2ixlibrary.data~$AR $AR_FLAGS $lib $libobjs~$RANLIB $lib~(cd $output_objdir && a2ixlibrary -32)' hardcode_libdir_flag_spec='-L$libdir' hardcode_minus_L=yes ;; esac ;; bsdi[45]*) export_dynamic_flag_spec=-rdynamic ;; cygwin* | mingw* | pw32* | cegcc*) # When not using gcc, we currently assume that we are using # Microsoft Visual C++. # hardcode_libdir_flag_spec is actually meaningless, as there is # no search path for DLLs. hardcode_libdir_flag_spec=' ' allow_undefined_flag=unsupported # Tell ltmain to make .lib files, not .a files. libext=lib # Tell ltmain to make .dll files, not .so files. shrext_cmds=".dll" # FIXME: Setting linknames here is a bad hack. archive_cmds='$CC -o $lib $libobjs $compiler_flags `$ECHO "X$deplibs" | $Xsed -e '\''s/ -lc$//'\''` -link -dll~linknames=' # The linker will automatically build a .lib file if we build a DLL. old_archive_from_new_cmds='true' # FIXME: Should let the user specify the lib program. old_archive_cmds='lib -OUT:$oldlib$oldobjs$old_deplibs' fix_srcfile_path='`cygpath -w "$srcfile"`' enable_shared_with_static_runtimes=yes ;; darwin* | rhapsody*) archive_cmds_need_lc=no hardcode_direct=no hardcode_automatic=yes hardcode_shlibpath_var=unsupported whole_archive_flag_spec='' link_all_deplibs=yes allow_undefined_flag="$_lt_dar_allow_undefined" case $cc_basename in ifort*) _lt_dar_can_shared=yes ;; *) _lt_dar_can_shared=$GCC ;; esac if test "$_lt_dar_can_shared" = "yes"; then output_verbose_link_cmd=echo archive_cmds="\$CC -dynamiclib \$allow_undefined_flag -o \$lib \$libobjs \$deplibs \$compiler_flags -install_name \$rpath/\$soname \$verstring $_lt_dar_single_mod${_lt_dsymutil}" module_cmds="\$CC \$allow_undefined_flag -o \$lib -bundle \$libobjs \$deplibs \$compiler_flags${_lt_dsymutil}" archive_expsym_cmds="sed 's,^,_,' < \$export_symbols > \$output_objdir/\${libname}-symbols.expsym~\$CC -dynamiclib \$allow_undefined_flag -o \$lib \$libobjs \$deplibs \$compiler_flags -install_name \$rpath/\$soname \$verstring ${_lt_dar_single_mod}${_lt_dar_export_syms}${_lt_dsymutil}" module_expsym_cmds="sed -e 's,^,_,' < \$export_symbols > \$output_objdir/\${libname}-symbols.expsym~\$CC \$allow_undefined_flag -o \$lib -bundle \$libobjs \$deplibs \$compiler_flags${_lt_dar_export_syms}${_lt_dsymutil}" else ld_shlibs=no fi ;; dgux*) archive_cmds='$LD -G -h $soname -o $lib $libobjs $deplibs $linker_flags' hardcode_libdir_flag_spec='-L$libdir' hardcode_shlibpath_var=no ;; freebsd1*) ld_shlibs=no ;; # FreeBSD 2.2.[012] allows us to include c++rt0.o to get C++ constructor # support. Future versions do this automatically, but an explicit c++rt0.o # does not break anything, and helps significantly (at the cost of a little # extra space). freebsd2.2*) archive_cmds='$LD -Bshareable -o $lib $libobjs $deplibs $linker_flags /usr/lib/c++rt0.o' hardcode_libdir_flag_spec='-R$libdir' hardcode_direct=yes hardcode_shlibpath_var=no ;; # Unfortunately, older versions of FreeBSD 2 do not have this feature. freebsd2*) archive_cmds='$LD -Bshareable -o $lib $libobjs $deplibs $linker_flags' hardcode_direct=yes hardcode_minus_L=yes hardcode_shlibpath_var=no ;; # FreeBSD 3 and greater uses gcc -shared to do shared libraries. freebsd* | dragonfly*) archive_cmds='$CC -shared -o $lib $libobjs $deplibs $compiler_flags' hardcode_libdir_flag_spec='-R$libdir' hardcode_direct=yes hardcode_shlibpath_var=no ;; hpux9*) if test "$GCC" = yes; then archive_cmds='$RM $output_objdir/$soname~$CC -shared -fPIC ${wl}+b ${wl}$install_libdir -o $output_objdir/$soname $libobjs $deplibs $compiler_flags~test $output_objdir/$soname = $lib || mv $output_objdir/$soname $lib' else archive_cmds='$RM $output_objdir/$soname~$LD -b +b $install_libdir -o $output_objdir/$soname $libobjs $deplibs $linker_flags~test $output_objdir/$soname = $lib || mv $output_objdir/$soname $lib' fi hardcode_libdir_flag_spec='${wl}+b ${wl}$libdir' hardcode_libdir_separator=: hardcode_direct=yes # hardcode_minus_L: Not really in the search PATH, # but as the default location of the library. hardcode_minus_L=yes export_dynamic_flag_spec='${wl}-E' ;; hpux10*) if test "$GCC" = yes -a "$with_gnu_ld" = no; then archive_cmds='$CC -shared -fPIC ${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 $linker_flags' fi if test "$with_gnu_ld" = no; then hardcode_libdir_flag_spec='${wl}+b ${wl}$libdir' hardcode_libdir_flag_spec_ld='+b $libdir' hardcode_libdir_separator=: hardcode_direct=yes hardcode_direct_absolute=yes export_dynamic_flag_spec='${wl}-E' # hardcode_minus_L: Not really in the search PATH, # but as the default location of the library. hardcode_minus_L=yes fi ;; hpux11*) if test "$GCC" = yes -a "$with_gnu_ld" = no; then case $host_cpu in hppa*64*) archive_cmds='$CC -shared ${wl}+h ${wl}$soname -o $lib $libobjs $deplibs $compiler_flags' ;; ia64*) archive_cmds='$CC -shared -fPIC ${wl}+h ${wl}$soname ${wl}+nodefaultrpath -o $lib $libobjs $deplibs $compiler_flags' ;; *) archive_cmds='$CC -shared -fPIC ${wl}+h ${wl}$soname ${wl}+b ${wl}$install_libdir -o $lib $libobjs $deplibs $compiler_flags' ;; esac else case $host_cpu in hppa*64*) archive_cmds='$CC -b ${wl}+h ${wl}$soname -o $lib $libobjs $deplibs $compiler_flags' ;; ia64*) archive_cmds='$CC -b ${wl}+h ${wl}$soname ${wl}+nodefaultrpath -o $lib $libobjs $deplibs $compiler_flags' ;; *) archive_cmds='$CC -b ${wl}+h ${wl}$soname ${wl}+b ${wl}$install_libdir -o $lib $libobjs $deplibs $compiler_flags' ;; esac fi if test "$with_gnu_ld" = no; 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 "$GCC" = yes; then archive_cmds='$CC -shared $libobjs $deplibs $compiler_flags ${wl}-soname ${wl}$soname `test -n "$verstring" && $ECHO "X${wl}-set_version ${wl}$verstring" | $Xsed` ${wl}-update_registry ${wl}${output_objdir}/so_locations -o $lib' # Try to use the -exported_symbol ld option, if it does not # work, assume that -exports_file does not work either and # implicitly export all symbols. save_LDFLAGS="$LDFLAGS" LDFLAGS="$LDFLAGS -shared ${wl}-exported_symbol ${wl}foo ${wl}-update_registry ${wl}/dev/null" cat >conftest.$ac_ext <<_ACEOF int foo(void) {} _ACEOF rm -f conftest.$ac_objext conftest$ac_exeext if { (ac_try="$ac_link" case "(($ac_try" in *\"* | *\`* | *\\*) ac_try_echo=\$ac_try;; *) ac_try_echo=$ac_try;; esac eval ac_try_echo="\"\$as_me:$LINENO: $ac_try_echo\"" $as_echo "$ac_try_echo") >&5 (eval "$ac_link") 2>conftest.er1 ac_status=$? grep -v '^ *+' conftest.er1 >conftest.err rm -f conftest.er1 cat conftest.err >&5 $as_echo "$as_me:$LINENO: \$? = $ac_status" >&5 (exit $ac_status); } && { test -z "$ac_c_werror_flag" || test ! -s conftest.err } && test -s conftest$ac_exeext && { test "$cross_compiling" = yes || $as_test_x conftest$ac_exeext }; then archive_expsym_cmds='$CC -shared $libobjs $deplibs $compiler_flags ${wl}-soname ${wl}$soname `test -n "$verstring" && $ECHO "X${wl}-set_version ${wl}$verstring" | $Xsed` ${wl}-update_registry ${wl}${output_objdir}/so_locations ${wl}-exports_file ${wl}$export_symbols -o $lib' else $as_echo "$as_me: failed program was:" >&5 sed 's/^/| /' conftest.$ac_ext >&5 fi rm -rf conftest.dSYM rm -f core conftest.err conftest.$ac_objext conftest_ipa8_conftest.oo \ conftest$ac_exeext conftest.$ac_ext LDFLAGS="$save_LDFLAGS" else archive_cmds='$CC -shared $libobjs $deplibs $compiler_flags -soname $soname `test -n "$verstring" && $ECHO "X-set_version $verstring" | $Xsed` -update_registry ${output_objdir}/so_locations -o $lib' archive_expsym_cmds='$CC -shared $libobjs $deplibs $compiler_flags -soname $soname `test -n "$verstring" && $ECHO "X-set_version $verstring" | $Xsed` -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 ;; 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*) 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 - | $GREP __ELF__`" || test "$host_os-$host_cpu" = "openbsd2.8-powerpc"; then archive_cmds='$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 case $host_os in openbsd[01].* | openbsd2.[0-7] | openbsd2.[0-7].*) archive_cmds='$LD -Bshareable -o $lib $libobjs $deplibs $linker_flags' hardcode_libdir_flag_spec='-R$libdir' ;; *) archive_cmds='$CC -shared $pic_flag -o $lib $libobjs $deplibs $compiler_flags' hardcode_libdir_flag_spec='${wl}-rpath,$libdir' ;; esac fi else ld_shlibs=no fi ;; os2*) hardcode_libdir_flag_spec='-L$libdir' hardcode_minus_L=yes allow_undefined_flag=unsupported archive_cmds='$ECHO "LIBRARY $libname INITINSTANCE" > $output_objdir/$libname.def~$ECHO "DESCRIPTION \"$libname\"" >> $output_objdir/$libname.def~$ECHO DATA >> $output_objdir/$libname.def~$ECHO " SINGLE NONSHARED" >> $output_objdir/$libname.def~$ECHO EXPORTS >> $output_objdir/$libname.def~emxexp $libobjs >> $output_objdir/$libname.def~$CC -Zdll -Zcrtdll -o $lib $libobjs $deplibs $compiler_flags $output_objdir/$libname.def' old_archive_from_new_cmds='emximp -o $output_objdir/$libname.a $output_objdir/$libname.def' ;; osf3*) if test "$GCC" = yes; 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" && $ECHO "X${wl}-set_version ${wl}$verstring" | $Xsed` ${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" && $ECHO "X-set_version $verstring" | $Xsed` -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 "$GCC" = yes; then allow_undefined_flag=' ${wl}-expect_unresolved ${wl}\*' archive_cmds='$CC -shared${allow_undefined_flag} $libobjs $deplibs $compiler_flags ${wl}-msym ${wl}-soname ${wl}$soname `test -n "$verstring" && $ECHO "X${wl}-set_version ${wl}$verstring" | $Xsed` ${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" && $ECHO "X-set_version $verstring" | $Xsed` -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 "X-set_version $verstring" | $Xsed` -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=: ;; 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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, write to the Free Software # Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA # 02110-1301, USA. # 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 outputing dependencies. libtool Whether libtool is used (yes/no). Report bugs to . EOF exit $? ;; -v | --v*) echo "depcomp $scriptversion" exit $? ;; esac if test -z "$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" # 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. 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However on # icc -MD -MF foo.d -c -o sub/foo.o sub/foo.c # ICC 7.0 will fill foo.d with something like # foo.o: sub/foo.c # foo.o: sub/foo.h # which is wrong. We want: # sub/foo.o: sub/foo.c # sub/foo.o: sub/foo.h # sub/foo.c: # sub/foo.h: # ICC 7.1 will output # foo.o: sub/foo.c sub/foo.h # and will wrap long lines using \ : # foo.o: sub/foo.c ... \ # sub/foo.h ... \ # ... "$@" -MD -MF "$tmpdepfile" stat=$? if test $stat -eq 0; then : else rm -f "$tmpdepfile" exit $stat fi rm -f "$depfile" # Each line is of the form `foo.o: dependent.h', # or `foo.o: dep1.h dep2.h \', or ` dep3.h dep4.h \'. # Do two passes, one to just change these to # `$object: dependent.h' and one to simply `dependent.h:'. sed "s,^[^:]*:,$object :," < "$tmpdepfile" > "$depfile" # Some versions of the HPUX 10.20 sed can't process this invocation # correctly. Breaking it into two sed invocations is a workaround. sed 's,^[^:]*: \(.*\)$,\1,;s/^\\$//;/^$/d;/:$/d' < "$tmpdepfile" | sed -e 's/$/ :/' >> "$depfile" rm -f "$tmpdepfile" ;; hp2) # The "hp" stanza above does not work with aCC (C++) and HP's ia64 # compilers, which have integrated preprocessors. 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Wilde. \newblock A library for doing polyhedral operations. \newblock Master's thesis, Oregon State University, Corvallis, Oregon, Dec 1993. \newblock Also published in IRISA technical report PI 785, Rennes, France; Dec, 1993. \end{thebibliography} cddlib-094g/doc/cddlibman.blg000066400000000000000000000017011206770251100161300ustar00rootroot00000000000000This is BibTeX, Version 0.99c (Web2C 7.4.5) The top-level auxiliary file: cddlibman.aux The style file: plain.bst Database file #1: fukuda1.bib Database file #2: fukuda2.bib Warning--empty institution in fjt-cgf-05 Warning--empty year in fjt-cgf-05 You've used 23 entries, 2118 wiz_defined-function locations, 629 strings with 8653 characters, and the built_in function-call counts, 6251 in all, are: = -- 603 > -- 290 < -- 3 + -- 117 - -- 91 * -- 344 := -- 1076 add.period$ -- 79 call.type$ -- 23 change.case$ -- 104 chr.to.int$ -- 0 cite$ -- 25 duplicate$ -- 236 empty$ -- 521 format.name$ -- 91 if$ -- 1302 int.to.chr$ -- 0 int.to.str$ -- 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oating-p˜oin¸ãtŽŽŸ’çÿk¹1ŽŽŒ‹* ¬lÀ ý4åe ­› ývåe‘`²and–†XGMP›† rational“exact“arithmetic.‘ÐPlease“read“the“accompan¸ãying“README˜ le“and“testŽ¤ ‘`programs–UUto“complemenš¸ãt“the“man˜ual.Ž¡‘*`The–‡ new“functions“added“in“this“v¸ãersion“include“ó,ßê ó3 cmmi10ÐP‘ý¹=– §ó&!",š ó3 cmsy10ÑfÐx“¹=“(ÐxŸ¤zó|{Ycmr8¼1Ž–ÀÐ;›Ó1xŸ¤z¼2Ž“Ð;˜:˜:˜:Ž‘lÅ;˜xŸÈ®ó×2cmmi8¿dŽ‘ߨ¹)Ÿûz•¿TŽ‘ «¾Ñ2– §ÐR¨Ÿûz•¿dŽ‘ÿ÷¹:“Ðb–nìÑ“ÐAx– §Ñ“¹0ÑgŽŸtܹwhere–ûÐA“¹is“a›úgiv²!en“Ðm‘OÑ‘NÐd“¹real“matrix“and“Ðb“¹is˜a“givš²!en“real“Ðm¹-v˜ector.‘p›In“the“mathematical“lan-Ž¡guage,‘jºthe–Cvcomputation“is›Cwthe“transformation“of“an˜ó-ý': ó3 cmti10ØH-r–ÿp¹epr“esentation‘¹of–Cva“con•²!v“ex˜p•MÞolytop“e–Cvto“anŽ¡ØV-r–ÿp¹epr“esentation¹.Ž¡‘cddlib–­is›­Ža“C-library˜v²!ersion“of“the˜previously“released“C-coMÞde˜cdd/cdd+.‘óSIn“order˜to“mak²!eŽ¡this–Äölibrary“v²!ersion,‘Ìša›Äõlarge“part“of“the“cdd“source“(V‘ÿeersion“0.61)“has“bMÞeen˜rewritten.‘9This“libraryŽ¡v²!ersion–ù"is“more›ù# exible“since“it“can˜bMÞe“called“from“other˜programs“in“C/C++.‘ÖUnlik²!e“cdd/cdd+,Ž¡cddlib–°lcan“handle“anš²!y‘°kgeneral“input“and“is“more“general.‘ûîF‘ÿeurtthermore,‘²íadditional“functions“ha˜v˜eŽ¡bMÞeen–¦fwritten“to“extend“its“functionalit²!y‘ÿe.Ž¡‘One–´œuseful“feature›´›of“cddlib/cdd/cdd+“is“its˜capabilit²!y“of“handling“the˜dual“(rev²!erse)“problemŽ¡without–çan²!y›ètransformation“of˜data.‘aThe“dual˜transformation“problem˜of“a˜V-represen²!tation“toŽ¡a–‡¾minimal›‡¿H-represen²!tation“and“is“often˜called“the“Ø(c›ÿp¹onvex)–º;hul‘Fl“pr˜oblem‘× ¹.‘æMore–‡¾explicitly‘ÿe,‘Àis“toŽ¡obtain–%üa‘%ýlinear“inequalitš²!y“represen˜tation‘%ýof“a“con˜v˜ex‘%ýpMÞolyhedron“giv˜en“as‘%ýthe“Mink˜o˜wski“sum‘%ýof“theŽ¡con•²!v“ex›¦fh“ull˜of˜a˜ nite˜set˜of˜pMÞoin“ts˜and˜the˜nonnegativ“e˜h“ull˜of˜a˜ nite˜set˜of˜pMÞoin“ts˜in˜ÐR¨Ÿü¾¿dŽ‘õP¹:Ž¦‘yAÖÐP‘ý¹=‘ §Ðconvšd“¹(ÐvŸ¤z¼1Ž‘ÀÐ;–Ó1:“:“:Ž‘lÅ;‘Ó1vŸ¤z¿nŽ‘¨P¹)–nì+“Ðnonneg˜¹(ÐrŸ¤z¿n¼+1Ž‘„ÌÐ;–Ó1:“:“:Ž‘lÅ;‘Ó1rŸ¤z¿n¼+¿sŽ‘3¹)Ð;Ž¦¹where–¦fthe“ØMinkowski–êêsum“of“two“subsets“ÐS‘Œ|Øand“ÐT‘+¼¹of–¦fÐR¨Ÿü¾¿dŽ‘›¶¹is“de ned“asŽŸtÜ’™ÎàÐS‘~¹+–nìÐT‘ý¹=› §ÑfÐs“¹+“Ðt˜ÑjÐs˜Ñ2˜ÐS‘Gø¹andŽ‘’¤Ðt˜Ñ2˜ÐT‘…VÑgÐ:Ž¦¹As–›Xwš²!e“see“in“this‘›Wman˜ual,‘Ø”the“computation“can“bMÞe“done“in“straigh˜tforw˜ard‘›Wmanner.‘¼³Unlik˜e“theŽ¡earlier–Y†v²!ersions›Y…of“cdd/cdd+“that˜assume“certain“regularit²!y˜conditions“for“input,‘hæcddlib˜is“designedŽ¡to–µ$do›µ%a“correct“transformation“for˜anš²!y“general“input.‘ The“user“m˜ust‘µ%bMÞe“a˜w˜are“of“the‘µ%fact“thatŽ¡in–ãÇcertain“cases›ãÆthe“transformation“is“not“unique˜and“there“are“pMÞolyhedra˜with“in nitely“man²!yŽ¡represenš²!tations.‘^F‘ÿeor–&sexample,‘Fva“line‘&rsegmen˜t“(1-dimensional“p•MÞolytop“e)–&sin“ÐR¨Ÿü¾¼3Ž‘ü¹has“in nitely“man˜yŽ¡minimal–0ƒH-represen²!tations,‘“ and›0‚a“halfspace˜in“the“same˜space“has˜in nitely“man²!y˜minimal“V-Ž¡represenš²!tations.‘ÝÝcddlib–¦fgenerates“merely“one“minimal“represen˜tation.Ž¡‘cddlib–Ÿ‚comes“with“an›ŸƒLP‘Ÿ€coMÞde“to“solv²!e˜the“general“linear“programming“(LP)‘Ÿproblem“to“maxi-Ž¡mize–¥¤(or›¥£minimize)“a˜linear“function“o•²!v“er˜pMÞolyhedron–¥¤ÐP‘…V¹.‘ÝœIt˜is“useful“mainly˜for“solving˜dense“LP'sŽ¡with–Ltlarge“Ðm“¹(saš²!y‘ÿe,‘uøup“to“few“h˜undred“thousands)“and“small“Ðd“¹(sa˜y‘ÿe,‘u÷up‘Luto“100).‘ÐIt“implemen˜ts“aŽ¡revised–¦fdual“simplex“methošMÞd“that“up˜dates“(Ðd–nì¹+“1)“Ñ“¹(Ðd“¹+“1)–¦fmatrix“for“a“piv²!ot“op˜eration.Ž¡‘The–3Rprogram›3Qcddlib“has“an˜I/O‘3.routines“that˜read“and“write˜ les“in“ØPolyhe–ÿp¹dr“a‘lformat‘=<¹whic²!hŽ¡w•²!as›ÕŽde ned‘Õb“y˜Da“vid˜Avis˜and–Õthe˜author˜in“1993,‘áXand˜has“b•MÞeen˜up“dated˜in‘Õ1997˜and˜1999.‘kTTheŽŽŸ’çÿk2ŽŽŒ‹c ¬lÀ ý4åe ­› ývåe¹program–Úcalled“lrs“and‘Úlrslib“[2Ž‘yš]“devš²!elopMÞed“b˜y“Da˜vid“Avis“is“a‘ÚC-implemen˜tation“of“the“rev˜erseŽ¤ ™šsearcš²!h–qxalgorithm“[4Ž‘yš]‘qyfor“the“same“en˜umeration“purpMÞose,‘¤=and“it“conforms“to‘qyP˜olyhedra“format“asŽ¡w•²!ell.‘Ó²HopMÞefully‘ÿe,‘þthis›‡åcompatibilit“y˜of‘‡äthe˜t“w“o˜programs–‡äenables˜users˜to“use˜bMÞoth˜programs“for˜theŽ¡same– ‡input“ les‘ †and“to“cš²!hoMÞose“whic˜hev˜er› †is“useful“for“their˜purpMÞoses.‘L@F‘ÿerom˜our“expMÞeriences“withŽ¡relativš²!ely–‘×large‘‘Öproblems,‘̲the“t˜w˜o“methošMÞds‘‘Öare“b˜oth›‘Öuseful“and˜pMÞerhaps“complemen²!tary˜to“eac²!hŽ¡other.‘E†In–sŸgeneral,‘¦ìthe›sžprogram“cddlib˜tends“to˜bMÞe˜ecien²!t“for˜highly“degenerate˜inputs“and˜theŽ¡program–¦frs“tends“to“bMÞe“ecienš²!t“for“nondegenerate“or“sligh˜tly“degenerate“problems.Ž¡‘Although–µÓthe›µÔprogram“can˜bMÞe“used˜for“nondegenerate“inputs,‘ù¯it“migh²!t˜not“bMÞe˜vš²!ery“ecien˜t.Ž¡F‘ÿeor›pnondegenerate–pinputs,‘¢‹other“a•²!v‘ÿdDailable˜programs,‘¢Œsuc“h˜as˜the‘prev“erse˜searc“h˜coMÞde˜lrs‘por˜qh“ullŽ¡(dev•²!elopMÞed›ë†b“y–ë…the˜Geometry“Cen•²!ter),‘üÎmigh“t‘ë…bMÞe˜more˜ecien“t.‘­;See˜Section˜8‘ë…for˜pMÞoin“ters‘ë…to˜theseŽ¡co•MÞdes.‘ŸThe›µ¬pap“er‘µ­[3Ž‘yš]˜con•²!tains˜man“y˜in“teresting˜results˜on‘µ­p•MÞolyhedral˜computation˜and˜exp“erimen²!talŽ¡results–¦fon“cdd+,“lrs,“qh²!ull“and“pMÞorta.Ž¡‘This–A«program“can“bMÞe“distributed‘Aªfreely“under“the“GNU–A‘GENERAL‘A’PUBLIC“LICENSE.‘A«PleaseŽ¡read–¦fthe“ le“COPYING“carefully“bMÞefore“using.Ž¡‘I‘T­will–TÂnot‘TÁtakš²!e“an˜y“respMÞonsibilit˜y‘TÁof“an˜y“problems“y˜ou‘TÁmigh˜t“ha˜v˜e“with‘TÁthis“program.‘¦But“I‘T­willŽ¡bšMÞe–{‚glad“to“receiv²!e“bug“rep˜orts“or“suggestions“at“the‘{e-mail“addresses“ab˜o•²!v“e.‘]1If–{‚cddlib“turns“outŽ¡to–äbšMÞe“useful,‘ôplease“kindly“inform‘äme“of“what“purp˜oses“cdd‘ähas“b˜een“used“for.‘˜YI‘äwill‘äb˜e“happ²!y“toŽ¡include–Øa›×list“of“applications“in˜future“distribution“if“I‘Àreceiv²!e“enough˜replies.‘ð3The˜most“pMÞo•²!w“erfulŽ¡suppMÞort–¦ffor“free“soft•²!w“are›¦fdev“elopmen“t˜is˜user's˜appreciation˜and˜collabMÞoration.ŽŸ"’Î2Ž‘LËPŒÌolyhedra–ffH-“and“V-F›þ¦formats“(V˜ersion“1999)ŽŸ"dÙ¹Ev•²!ery›Ìcon“v“ex˜pMÞolyhedron˜has˜t“w“o˜represen“tations,‘fone˜as˜the˜in“tersection˜of˜ nite˜halfspaces˜andŽ¡the–2dother›2cas“Mink•²!o“wski–2dsum“of˜the“con•²!v“ex‘2dh“ull˜of–2d nite“pMÞoin²!ts˜and“the“nonnegativš²!e“h˜ull‘2cof“ niteŽ¡directions.‘ÝÝThese–¦fare“called“H-represenš²!tation“and“V-represen˜tation,“respMÞectiv˜ely‘ÿe.Ž¡‘Naturally–¾othere“are“t•²!w“o‘¾pbasic›¾oP“olyhedra˜formats,‘ÄqH-format‘¾pfor˜H-represen“tation˜and˜V-formatŽ¡for–ë§V-represenš²!tation.‘­ŸThese“t˜w˜o“formats“are“designed“to“bMÞe‘ë¦almost“indistinguishable,‘ü÷and“in“fact,Ž¡one–öccan›öbalmost“pretend˜one“for˜the“other.‘ÍÒThere“is˜some“asymmetry˜arising“from˜the“asymmetryŽ¡of›¦ft•²!w“o˜represen“tations.Ž¡‘First–bTwš²!e‘bSstart“with“the“H-represen˜tation.‘¦Let‘bSÐA“¹bšMÞe“an“Ðm‘ì4Ñ‘ì5Ðd“¹matrix,‘‘Nand“let“Ðb“¹b˜e‘bSa“columnŽ¡Ðm¹-v•²!ector.‘ø`The›YçP“olyhedra‘Yæformat˜(ØH-format˜¹)˜of˜the˜system‘¹Ðb‘æ–Ñ‘æ—ÐAx–5ÒÑ“Ï0Ž‘^¹of˜Ðm˜¹inequalities˜in˜ÐdŽ¡¹v‘ÿdDariables‘¦fÐx– §¹=“(ÐxŸ¤z¼1Ž–ÀÐ;›Ó1xŸ¤z¼2Ž“Ð;˜:˜:˜:Ž‘lÅ;˜xŸÈ®¿dŽ‘ߨ¹)Ÿü¾¿TŽ‘ G}¹isŽŸD/ŸÉ.¹‘©zã‰ffÓPŸ …‘v‘ÿdDarious‘¦fcommen²!tsŽŽ¤ ™™‘ÏH-represen¦ttationŽŽ¡‘(linearit¦ty‘2Ðt‘=4iŸ¤z¼1Ž– ý8ÐiŸ¤z¼2Ž“Ð:–Ó1:“:Ž‘ ÏiŸ¤z¿tŽ‘‘ÊÏ)ŽŽ¡‘bY‹eginŽŽ¡‘ÐmŽ‘?d–nì¹+“1Ž‘@+ÿn•²!um“bšMÞert“yp˜eŽŽ¡‘uÐbŽ‘‡HÑÐAŽŽ¡‘ÏendŽŽ¡‘¹v‘ÿdDarious‘¦foptionsŽŽ¦‰ffÓPŽŽŽŸMjÁwhere‘¡0n•²!um“bšMÞert“yp˜e‘¡1can–¡0b˜e“one“of›¡1in²!teger,‘ßârational“or˜real.‘Î;When˜rational“t²!ypMÞe“is˜selected,‘ßâeac²!hŽ¡compMÞonen²!t–#of›#Ðb“¹and“ÐA“¹can˜bšMÞe“sp˜eci ed“bš²!y‘#the“usual“in˜teger‘#expression“or“b˜y“the‘#rational“expressionŽ¡\Ðp=qšd“¹"–É or“\ÑÐp=q˜¹"›Éwhere“Ðp“¹and“Ðq‘-²¹are“arbitrary“long“pMÞositiv•²!e˜in“tegers–É (see“the“example˜input“ leŽ¡rational.ine).‘¿In–ñ¡the“1997“format,‘Dpwš²!e“in˜troMÞduced“\H-represen˜tation"“whic˜h‘ñ¢m˜ust“appšMÞear“b˜eforeŽ¡\bšMÞegin".‘ºêThere–=‹w²!as“one“restriction‘=Œin“the“old“p˜olyhedra‘=Œformat“(b˜efore“1997):‘©pthe“last“Ðd‘=Œ¹roš²!ws“m˜ustŽ¡determine–¦fa“vš²!ertex“of“ÐP‘…V¹.‘ÝÝThis“is“obsolete“no˜w.ŽŽŸ’çÿk3ŽŽŒ‹+¹ ¬lÀ ý4åe ­› ývåe‘¹In–ºthe›ºnew“1999˜format,‘¾ðw²!e“added“the˜pMÞossibilit²!y“of˜spMÞecifying“Ïlinearit¦ty,ƹ.‘ÂThis“means˜that“forŽ¤ ™šH-represenš²!tation,‘“\some–cøof“the“input“ro˜ws“can“bšMÞe“sp˜eci ed‘c÷as“Ïequalities¹:‘YÐbŸ¤z¿iŸ8:ó;Îcmmi6ÀjŽŽ‘ =Ñ‘íMÐAŸ¤z¿iŸ8:ÀjŽŽ‘OµÐx‘F˜¹=‘F™0‘ª‘for“allŽ¡Ðj‘«¹=‘ §1Ð;–Ó1¹2Ð;“:“:“:Ž‘lÅ;“t¹.‘ÝÝThe–¦flinearitš²!y“line“ma˜y“bMÞe“omitted“if“there“are“no“equalities.Ž¡‘Option–ºâlines›ºãcan“bMÞe˜used“to˜con²!trol“computation˜of“a˜spMÞeci c“program.‘SIn“particular˜bMÞoth“cddŽ¡and–¿ßlrs›¿àuse“the˜option“lines˜to“represen²!t˜a“linear˜ob‘›»jectiv²!e“function.‘*ISee˜the“attac²!hed˜LP‘¿— les,Ž¡samplelp*.ine.ŽŸž ‘Next–Øwš²!e“de ne‘ØP˜olyhedra“ØV-format¹.‘™Let“ÐP‘]f¹bMÞe“represen˜ted“b˜y“Ðn“¹gerating“pMÞoin˜ts‘Øand“Ðs“¹generatingŽ¡directions–•ß(ra²!ys)“as‘•ÞÐP‘ý¹=‘ §Ðconvšd“¹(ÐvŸ¤z¼1Ž‘ÀÐ;–Ó1:“:“:Ž‘lÅ;‘Ó1vŸ¤z¿nŽ‘¨P¹)–MÞ+“Ðnonneg˜¹(ÐrŸ¤z¿n¼+1Ž‘„ÌÐ;–Ó1:“:“:Ž‘lÅ;‘Ó1rŸ¤z¿n¼+¿sŽ‘3¹).‘Ø[Then‘•Þthe–•ßP²!olyhedra“V-formatŽ¡for‘¦fÐP‘+¼¹isŽŸhù)Ÿ¡‹ó‘Ÿzã‰ff¾ÙŸ …‘v‘ÿdDarious‘¦fcommen²!tsŽŽ¤ ™™‘ÏV-represen¦ttationŽŽ¡‘¹(Ïlinearit¦ty‘2Ðt‘=4iŸ¤z¼1Ž– ý8ÐiŸ¤z¼2Ž“Ð:–Ó1:“:Ž‘ ÏiŸ¤z¿tŽ‘ÄW¹)ŽŽ¡‘ÏbY‹eginŽŽ¡‘Ðn–nì¹+“ÐsŽ‘+²d–nì¹+“1Ž‘O¥rn•²!um“bšMÞert“yp˜eŽŽ¡‘ÎŒ1Ž‘+²ÐvŸ¤z¼1ŽŽŽ©þ/*“set_type“defined“in“setoper.h“*/Ž¡typedef–¿ªset_type“dd_colset;Ž¡typedef–¿ªlong“*dd_rowindex;Ž¡typedef–¿ªint“*dd_rowflag;Ž¡typedef–¿ªlong“*dd_colindex;Ž¡typedef–¿ªmytype“**dd_Amatrix;‘ T/*“mytype“is“either“GMP“mpq_t“or“1-dim“double“array.“*/Ž¡typedef–¿ªmytype“*dd_Arow;Ž¡typedef–¿ªset_type“*dd_SetVector;Ž¡¡typedef–¿ªenum“{Ž¡‘ Tdd_Real,–¿ªdd_Rational,“dd_Integer,“dd_UnknownŽ¡}‘¿ªdd_NumberType;Ž¡¡typedef–¿ªenum“{Ž¡‘ Tdd_Inequality,–¿ªdd_Generator,“dd_UnspecifiedŽ¡}‘¿ªdd_RepresentationType;Ž¡¡typedef–¿ªenum“{Ž¡‘ Tdd_MaxIndex,–¿ªdd_MinIndex,“dd_MinCutoff,“dd_MaxCutoff,“dd_MixCutoff,Ž¡‘>þdd_LexMin,–¿ªdd_LexMax,“dd_RandomRowŽ¡}‘¿ªdd_RowOrderType;Ž¡¡typedef–¿ªenum“{Ž¡‘ Tdd_InProgress,–¿ªdd_AllFound,“dd_RegionEmptyŽ¡}‘¿ªdd_CompStatusType;Ž¡¡typedef–¿ªenum“{Ž¡‘ Tdd_DimensionTooLarge,‘¿ªdd_ImproperInputFormat,ŽŽŸ’çÿk¹5ŽŽŒ‹M0 ¬lÀ ý4åe ­› ývåe‘ TÕdd_NegativeMatrixSize,‘¿ªdd_EmptyVrepresentation,Ž¤ ™š‘ Tdd_IFileNotFound,–¿ªdd_OFileNotOpen,“dd_NoLPObjective,Ž¡‘ Tdd_NoRealNumberSupport,‘¿ªdd_NoErrorŽ¡}‘¿ªdd_ErrorType;Ž¡¡typedef–¿ªenum“{Ž¡‘ Tdd_LPnone=0,–¿ªdd_LPmax,“dd_LPminŽ¡}‘¿ªdd_LPObjectiveType;Ž¡¡typedef–¿ªenum“{Ž¡‘ Tdd_LPSundecided,–¿ªdd_Optimal,“dd_Inconsistent,“dd_DualInconsistent,Ž¡‘ Tdd_StrucInconsistent,‘¿ªdd_StrucDualInconsistent,Ž¡‘ Tdd_Unbounded,‘¿ªdd_DualUnboundedŽ¡}‘¿ªdd_LPStatusType;Ž¡¡typedef–¿ªstruct“matrixdata“*dd_MatrixPtr;Ž¡typedef–¿ªstruct“matrixdata“{Ž¡‘ Tdd_rowrange‘¿ªrowsize;Ž¡‘ Tdd_rowset‘¿ªlinset;Ž¡‘þ¨/*‘ Ta–¿ªsubset“of“rows“of“linearity“(ie,“generators“ofŽ¡‘-ýPlinearity–¿ªspace“for“V-representation,“and“equationsŽ¡‘-ýPfor–¿ªH-representation.“*/Ž¡‘ Tdd_colrange‘¿ªcolsize;Ž¡‘ Tdd_RepresentationType‘¿ªrepresentation;Ž¡‘ Tdd_NumberType‘¿ªnumbtype;Ž¡‘ Tdd_Amatrix‘¿ªmatrix;Ž¡‘ Tdd_LPObjectiveType‘¿ªobjective;Ž¡‘ Tdd_Arow‘¿ªrowvec;Ž¡}‘ Tdd_MatrixType;Ž¡¡typedef–¿ªstruct“setfamily“*dd_SetFamilyPtr;Ž¡typedef–¿ªstruct“setfamily“{Ž¡‘ Tdd_bigrange‘¿ªfamsize;Ž¡‘ Tdd_bigrange‘¿ªsetsize;Ž¡‘ Tdd_SetVector‘¿ªset;Ž¡}‘¿ªdd_SetFamilyType;Ž¡¡typedef–¿ªstruct“lpsolution“*dd_LPSolutionPtr;Ž¡typedef–¿ªstruct“lpsolution“{Ž¡‘ Tdd_DataFileType‘¿ªfilename;Ž¡‘ Tdd_LPObjectiveType‘¿ªobjective;Ž¡‘ Tdd_LPSolverType‘¿ªsolver;Ž¡‘ Tdd_rowrange‘¿ªm;Ž¡‘ Tdd_colrange‘¿ªd;Ž¡‘ Tdd_NumberType‘¿ªnumbtype;Ž¡¡– Tdd_LPStatusType›¿ªLPS;“/*˜the˜current˜solution˜status˜*/Ž¡– Tmytype›¿ªoptvalue;“/*˜optimal˜value˜*/ŽŽŸ’çÿk¹6ŽŽŒ‹W$ ¬lÀ ý4åe ­› ývåe‘ TÕdd_Arow–¿ªsol;‘>þ/*“primal“solution“*/Ž¤ ™š– Tdd_Arow›¿ªdsol;“/*˜dual˜solution˜*/Ž¡– Tdd_colindex›¿ªnbindex;“/*˜current˜basis˜represented˜by˜nonbasic˜indices˜*/Ž¡– Tdd_rowrange›¿ªre;“/*˜row˜index˜as˜a˜certificate˜in˜the˜case˜of˜inconsistency˜*/Ž¡– Tdd_colrange›¿ªse;“/*˜col˜index˜as˜a˜certificate˜in˜the˜case˜of˜dual˜inconsistency˜*/Ž¡‘ Tlong‘¿ªpivots[5];Ž¡‘>þ/*–¿ªpivots[0]=setup“(to“find“a“basis),“pivots[1]=PhaseI“or“Criss-Cross,Ž¡‘"}üpivots[2]=Phase–¿ªII,“pivots[3]=Anticycling,“pivots[4]=GMP“postopt‘ T*/Ž¡‘ Tlong‘¿ªtotal_pivots;Ž¡}‘¿ªdd_LPSolutionType;Ž¡Ÿ!èÎ4Ž‘LËLibrary‘ffF‘þ¦functionsŽŸq‹¹Here–ÌZwš²!e“list“some“of“the“most“impMÞortan˜t“library“functions/proMÞcedures.‘•.W‘ÿee“use“the“follo˜wing“con˜v˜en-Ž¡tion:‘ñÓÕpoly–°a¹is“of“tš²!ypMÞe“Õdd‘°—‰ffsŽ‘#™PolyhedraPtr¹,‘²àÕmatrix¹,‘²ßÕmatrix1“¹and“Õmatrix2“¹are“of“t˜ypMÞe“Õdd‘°—‰ffsŽ‘#™MatrixPtr¹,Ž¡ÕmatrixP¹,–õDof“tš²!ypMÞe“Õdd‘°—‰ffsŽ‘#™MatrixPtr*¹,‘HûÕerr“¹is“of“t˜ypMÞe‘õCÕdd‘°—‰ffsŽ‘#™ErrorType*¹,‘HûÕifile“¹and“Õofile“¹are“of“t˜ypMÞeŽ¡Õchar*¹,›œ¶ÕA‘šG¹is–šJof“t²!ypMÞe“Õdd‘°—‰ffsŽ‘#™Amatrix¹,˜Õpoint“¹and“Õvector“¹are“of“t²!ypMÞe“Õdd‘°—‰ffsŽ‘#™Arow¹,˜Õd“¹is“of“t²!ypMÞe“Õdd‘°—‰ffsŽ‘#™colrange¹,Ž¡Õm–‹~¹and›‹}Õi“¹are“of˜t²!ypMÞe“Õdd‘°—‰ffsŽ‘#™rowrange¹,‘ÄÃÕx“¹is˜of“t²!ypMÞe˜Õmytype¹,‘ÄÄÕa˜¹is“of“t²!ypMÞe˜Õsigned–¿ªlong“integer¹,‘ÄÃÕb‘‹~¹isŽ¡of–æ~t²!ypMÞe›æ}Õdouble¹,‘öƒÕset“¹is˜of“t²!ypMÞe˜Õset‘°—‰ffsŽ‘#™type¹.‘ž$Also,‘öƒÕsetfam“¹is˜of“t²!ypMÞe˜Õdd‘°—‰ffsŽ‘#™SetFamilyPtr¹,‘öƒÕlp“¹is˜of“t²!ypMÞeŽ¡Õdd‘°—‰ffsŽ›#™LPPtr¹,‘!:Õlps–©¹is‘ªof“t²!ypMÞe“Õdd‘°—‰ffsŽ˜LPSolutionPtr¹,‘!:Õsolver“¹is‘ªof“t²!ypMÞe“Õdd‘°—‰ffsŽ˜LPSolverType¹,‘!:Õroworder‘ª¹is“ofŽ¡t²!ypMÞe‘¦fÕdd‘°—‰ffsŽ‘#™RowOrderType¹.ŽŸºJó0ÂÖN  cmbx12Û4.1Ž‘ÀLibrary‘€InitializationŽ©«ÿÕvoid‘¿ªdd‘°—‰ffsŽ–#™set‘°—‰ffsŽ“global‘°—‰ffsŽ“constants(void)ŽŽ’Äû¹:Ž¡‘`This–¿¥is“to“set“the“global‘¿¦constanš²!ts“suc˜h“as“Õdd‘°—‰ffsŽ–#™zero¹,‘ÅõÕdd‘°—‰ffsŽ“purezero–¿¥¹and“Õdd‘°—‰ffsŽ‘#™one“¹for“sign“recog-Ž¡‘`nition–×…and›׆basic“arithmetic“opMÞerations.‘q;Ev²!ery“program“to˜use“cddlib“m²!ust“call˜this“functionŽ¡‘`bMÞefore–v¿doing›vÀan²!y“computation.‘NéJust˜call“this˜once.‘NéSee“Section“4.3.3˜for“the˜de nitions“ofŽ¡‘`constan²!ts.ŽŸV´Õvoid‘¿ªdd‘°—‰ffsŽ–#™free‘°—‰ffsŽ“global‘°—‰ffsŽ“constants(void)ŽŽ’ÉÙ¥¹:Ž¡‘`This–Ô0is›Ô1to“free“the˜global“constan²!ts.‘glinset“¹is˜the“coMÞdimension“of˜the“pMÞoly-Ž¡‘`hedron–¦fif“it“is“H-pšMÞolyhedron,“and“is“the“dimension“of“linearit²!y“space“if“it“is“V-p˜olyhedron.Ž¦‘`Note–"îthat‘"ïthe“presenš²!t“v˜ersion›"ïshould“not“bMÞe˜called“a˜canonicalization“bMÞecause“it˜ma²!y“generateŽ¡‘`t•²!w“o›_‘di eren“t˜represen“tations˜of˜the˜same˜p•MÞolyhedron.‘ÆAIn˜the˜future,‘m¼this˜function˜is˜exp“ectedŽ¡‘`to–¦fbMÞe“correctly“implemen²!ted.ŽŸ2ŸÕdd‘°—‰ffsŽ–#™boolean›¿ªdd‘°—‰ffsŽ“MatrixCanonicalizeLinearity(matrixP,˜impl‘°—‰ffsŽ“linset,˜newpos.‘ Terr)ŽŽ’»K‰¹:Ž¡‘`It–G/doMÞes›G.only“the˜ rst“half˜of“Õdd‘°—‰ffsŽ–#™boolean‘¿ªdd‘°—‰ffsŽ“MatrixCanonicalize¹,–¯`namely‘ÿe,“it˜detects‘G/allŽ¡‘`implicit–linearities“and“puts“a“maximally“indepMÞenden²!t“linearities‘at“the“top“of“the“matrix.‘¯F‘ÿeorŽ¡‘`example,–¦fthis“function“can“bšMÞe“used“to“detect“the“dimension“of“an“H-p˜olyhedron.Ž©2žÕdd‘°—‰ffsŽ–#™boolean›¿ªdd‘°—‰ffsŽ“MatrixRedundancyRemove(matrixP,˜redset,˜newpos,˜err)ŽŽ’}«L¹:Ž¡‘`It–åËdoMÞes›åÊessen²!tially“the“second“half˜of“Õdd‘°—‰ffsŽ–#™boolean‘¿ªdd‘°—‰ffsŽ“MatrixCanonicalize¹,– Pnamely‘ÿe,“it‘åËdetectsŽ¡‘`all–j=redundancies.‘ÉÏThis“function“should“bMÞe“used‘j– §¹0Ð;‘ÝØÑ8Ðs“Ñ2“ÐSŽŽ¡’é¶öbŸ¤z¿tŽ‘¶Ñ‘nìÐAŸ¤z¿tŽ‘‘ÊÐxŽ’idÑ– §¹0Ð;‘ÝØÑ8Ðt“Ñ2“ÐT‘éš;ŽŽŽŽ¡‘`¹where–¼ZÐL“¹is“the“set‘¼Yof“linearitš²!y“ro˜ws“of“Õmatrix¹,‘Á×and“ÐT‘A°¹represen˜ts“the“set‘¼Yof“ro˜ws“that“are“notŽ¤ ™š‘`in‘oïÐR‘§Ñ[‘ÐL–ÿÑ[“ÐS‘¡’¹.‘˵Both–oðÕR›oá¹and“ÕS˜¹are“of–oïÕdd‘°—‰ffsŽ‘#™rowset“¹t²!ypšMÞe.‘˶The“set‘oðÐS‘¹is“supp˜osed‘oðto“b˜e‘oðdisjoin²!t“fromŽ¡‘`bšMÞoth–¦fÐR‘¼¹and“ÐL¹.‘ÝÝIf“it“is“not“the“case,“the“set“ÐS‘Gø¹will“b˜e“considered“as“ÐS‘~Ñn–nì¹(ÐR‘„”Ñ[“ÐL¹).ŽŽŸ’çÿk9ŽŽŒ‹ í ¬lÀ ý4åe ­› ývåe‘`¹This–ófunction“ignores“Õmatrix->representation¹,‘>and“thš²!us“ev˜en‘óif“it“is“set“to“Õdd‘°—‰ffsŽ‘#™GeneratorŽ¤ ™š‘`¹or–¦fÕdd‘°—‰ffsŽ‘#™Unspecified¹,“it“treats“the“matrix“as“if“it“wš²!ere“inequalit˜y“represen˜tation.Ž©Ÿ½Õdd‘°—‰ffsŽ–#™boolean›¿ªdd‘°—‰ffsŽ“ExistsRestrictedFace2(matrix,˜R,˜S,˜lps,˜err)ŽŽ’Um¦¹:Ž¡‘`It–@óis“the“same“as“the“function“Õdd‘°—‰ffsŽ‘#™ExistsRestrictedFace“¹except“that“it“returns“also“a“certi -Ž¡‘`cate–¦ffor“the“answ²!er.‘ÝÝThe“certi cate“is“a“solution“to“the“bMÞounded“LP:ŽŸ'fŸë•‘kCX(P)ŽŽ’…;ZmaxŽ’›oŸÐzŽ’®¨î¹sub‘›»ject‘¦ftoŽŽ’ìûÐbŸ¤z¿rŽ‘NÑ‘nìÐAŸ¤z¿rŽ‘’bÐxŽ’7阹=– §0Ð;‘ÝØÑ8Ðr‘X…Ñ2“ÐR‘„”Ñ[‘nìÐLŽŽ¤ ™™’ìûbŸ¤z¿sŽ‘Ý(Ñ‘nìÐAŸ¤z¿sŽ‘n<ÐxŽ’ÒiÑÐzŽ’7é˜Ñ– §¹0Ð;‘ÝØÑ8Ðs“Ñ2“ÐSŽŽ¡’ìûbŸ¤z¿tŽ‘¶Ñ‘nìÐAŸ¤z¿tŽ‘‘ÊÐxŽ’7é˜Ñ– §¹0Ð;‘ÝØÑ8Ðt“Ñ2“ÐTŽŽ¡’ìû¹1Ž’ÒiÑÐzŽ’7é˜Ñ‘ §¹0Ð;ŽŽŽŽŸ)#w‘`¹where–¼ZÐL“¹is“the“set‘¼Yof“linearitš²!y“ro˜ws“of“Õmatrix¹,‘Á×and“ÐT‘A°¹represen˜ts“the“set‘¼Yof“ro˜ws“that“are“notŽ¡‘`in› 2ÐR‘ÉÑ[–³tÐL“Ñ[“ÐS‘¡’¹.‘BThe˜answ²!er– 3for˜the˜decision“problem˜is˜YES‘ if˜and“only˜if˜the“LP‘ attains˜anŽ¡‘`optimal–ˆQand“the“optimal“v‘ÿdDalue“is“pMÞositiv²!e.‘ÓÖThe‘ˆRdual“solution“(either“an“optimal“solution“or“aŽ¡‘`dual–(xun²!bšMÞounded“direction)‘(wcan“b˜e“considered“as“a“certi cate‘(wfor“the“NO‘(Xanswš²!er,‘A§if“the“answ˜erŽ¡‘`is‘¦fNO.ŽŸœ¬‘`This–ófunction“ignores“Õmatrix->representation¹,‘>and“thš²!us“ev˜en‘óif“it“is“set“to“Õdd‘°—‰ffsŽ‘#™GeneratorŽ¡‘`¹or–¦fÕdd‘°—‰ffsŽ‘#™Unspecified¹,“it“treats“the“matrix“as“if“it“wš²!ere“inequalit˜y“represen˜tation.ŽŸŸ¼Õdd‘°—‰ffsŽ–#™SetFamilyPtr›¿ªdd‘°—‰ffsŽ“Matrix2Adjacency(matrix,˜err)ŽŽ’1X¹:Ž¡‘`Computes–'the›'adjacency“list˜of“input“ro²!ws˜using“the˜LP‘&·solv²!er˜and“without˜running“theŽ¡‘`represen•²!tation›Àcon“v“ersion.‘°¦When˜the˜input‘¿is˜H-represen“tation,‘9âit‘¿giv“es˜the˜facet˜graph˜of˜theŽ¡‘`pMÞolyhedron.‘”7F‘ÿeor–ÉrV-represenš²!tation,‘õ¤it“giv˜es–Ésthe“(v˜ertex)›Érgraph“of˜the“pMÞolyhedron.‘”7It˜is“requiredŽ¡‘`that–D”the“input›D•matrix“is“a“minimal“represen²!tation.‘½BRun“redundancy˜remo²!v‘ÿdDal“functions“bMÞeforeŽ¡‘`calling–¦fthis“function,“see“the“sample“coMÞde“adjacency‘ÿe.c.Ž¦Õdd‘°—‰ffsŽ–#™SetFamilyPtr›¿ªdd‘°—‰ffsŽ“Matrix2WeakAdjacency(matrix,˜err)ŽŽ’-0¹:Ž¡‘`Computes–‹\the“wš²!eak“adjacency‘‹[list“of“input“ro˜ws“using“the‘‹[LP‘‹!solv˜er“and“without“runningŽ¡‘`the–µrepresenš²!tation“con˜v˜ersion.‘ 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7pMÞoly“to“Õmatrixdata“¹and“return“Õdd‘°—‰ffsŽ‘#™MatrixPtr¹.Ž©™šÕdd‘°—‰ffsŽ–#™MatrixPtr‘¿ªdd‘°—‰ffsŽ“CopyGenerators(poly)ŽŽ’Ñ5`¹:Ž¡‘`Copš²!y–=Ythe“generator‘=Xrepresen˜tation“pMÞoin˜ted“b˜y“pMÞoly“to“Õmatrixdata‘=X¹and“return“Õdd‘°—‰ffsŽ‘#™MatrixPtr¹.Ž¦Õdd‘°—‰ffsŽ–#™SetFamilyPtr‘¿ªdd‘°—‰ffsŽ“CopyIncidence(poly)ŽŽ’Ü´´¹:Ž¡‘`Copš²!y–nïthe“incidence“represen˜tation“of“the“computed“represen˜tation“pMÞoin˜ted“b˜y“pMÞoly“to“ÕsetfamilyŽ¡‘`¹and–Šreturn“Õdd‘°—‰ffsŽ‘#™SetFamilyPtr¹.‘ÃHThe“computed›‰represen²!tation“is“ÕInequality“¹if˜the“input“isŽ¡‘`ÕGenerator¹,–¦fand“the“vice“visa.Ž¦Õdd‘°—‰ffsŽ–#™SetFamilyPtr‘¿ªdd‘°—‰ffsŽ“CopyAdjacency(poly)ŽŽ’Ü´´¹:Ž¡‘`Copš²!y–nïthe“adjacency“represen˜tation“of“the“computed“represen˜tation“pMÞoin˜ted“b˜y“pMÞoly“to“ÕsetfamilyŽ¡‘`¹and–Šreturn“Õdd‘°—‰ffsŽ‘#™SetFamilyPtr¹.‘ÃHThe“computed›‰represen²!tation“is“ÕInequality“¹if˜the“input“isŽ¡‘`ÕGenerator¹,–¦fand“the“vice“visa.Ž¦Õdd‘°—‰ffsŽ–#™SetFamilyPtr‘¿ªdd‘°—‰ffsŽ“CopyInputIncidence(poly)ŽŽ’ùs¹:Ž¡‘`Copš²!y––™the“incidence‘–˜represen˜tation“of“the“input“represen˜tation“pMÞoin˜ted‘–˜b˜y“pMÞoly“to“ÕsetfamilyŽ¡‘`¹and–¦freturn“Õd‘°—‰ffsŽ‘#™SetFamilyPtr¹.Ž¦Õdd‘°—‰ffsŽ–#™SetFamilyPtr‘¿ªdd‘°—‰ffsŽ“CopyInputAdjacency(poly)ŽŽ’ùs¹:Ž¡‘`Copš²!y–Uµthe“adjacency“represen˜tation‘U¶of“the“input“represen˜tation“pMÞoin˜ted“b˜y‘U¶pMÞoly“to“ÕsetfamilyŽ¡‘`¹and–¦freturn“Õd‘°—‰ffsŽ‘#™SetFamilyPtr¹.Ž¦Õvoid‘¿ªdd‘°—‰ffsŽ‘#™FreePolyhedra(poly)ŽŽ’Ÿw¹:Ž¡‘`F‘ÿeree–¦fmemory“alloMÞcated“to“Õpoly¹.ŽŸìÏ4.3.6Ž‘&zLP–2Data“ManipulationŽŸ«ÿÕdd‘°—‰ffsŽ–#™LPPtr‘¿ªdd‘°—‰ffsŽ“MakeLPforInteriorFinding(lp)ŽŽ’è4¹:Ž¡‘`Set–o]up“an“LP‘oOto“ nd‘o\an“inš²!terior“pMÞoin˜t“of“the“feasible“region“of“Õlp“¹and‘o\return“a“pMÞoin˜ter“to“theŽ¡‘`LP‘ÿe.–FÅThe“new“LP‘Fœhas“one“new“v‘ÿdDariable“ÐxŸÈ®¿d¼+1Ž›é¹and“one“more“constrain²!t:‘›maxŽ‘RàÐxŸÈ®¿d¼+1Ž˜¹sub‘›»ject“toŽ¡‘`Ðb–nìÑ“ÐAx“Ñ“ÐxŸÈ®¿d¼+1Ž›ÆËÑ‘ §¹0–¦fand“ÐxŸÈ®¿d¼+1Ž˜Ñ‘ §ÐK‘ȹ,“where“ÐK‘nç¹is“a“pMÞositivš²!e“constan˜t.Ž¦Õdd‘°—‰ffsŽ–#™LPPtr›¿ªdd‘°—‰ffsŽ“Matrix2LP(matrix,˜err)ŽŽ’Ŷ ¹:Ž¡‘`Load–¦fÕmatrix“¹to“Õlpdata“¹and“return“a“pMÞoin²!ter“to“the“data.Ž¦Õdd‘°—‰ffsŽ–#™LPSolutionPtr‘¿ªdd‘°—‰ffsŽ“CopyLPSolution(lp)ŽŽ’Ü´´¹:Ž¡‘`Load–Ñ‚the›уsolutions“of“Õlp˜¹to“Õlpsolution“¹and˜return“a“pMÞoin²!ter˜to“the“data.‘_2This˜replaces“theŽ¡‘`old–¦fname“Õdd‘°—‰ffsŽ‘#™LPSolutionLoad(lp)¹.Ž¦Õvoid‘¿ªdd‘°—‰ffsŽ‘#™FreeLPData(lp)ŽŽ’‚V%¹:Ž¡‘`F‘ÿeree–¦fmemory“allošMÞcated“as“an“LP“data“p˜oinš²!ted“b˜y“Õlp¹.Ž¦Õvoid‘¿ªdd‘°—‰ffsŽ‘#™FreeLPSolution(lps)ŽŽ’Ÿw¹:Ž¡‘`F‘ÿeree–¦fmemory“allošMÞcated“as“an“LP“solution“data“p˜oinš²!ted“b˜y“Õlps¹.ŽŸìÏ4.3.7Ž‘&zMatrix‘2ManipulationŽŸ«ÿÕdd‘°—‰ffsŽ–#™MatrixPtr‘¿ªdd‘°—‰ffsŽ“CopyMatrix(matrix)ŽŽ’Ŷ ¹:Ž¡‘`Makš²!e–¦fa“cop˜y“of“matrixdata“pMÞoin˜ted“b˜y“Õmatrix“¹and“return“a“pMÞoin˜ter“to“the“cop˜y‘ÿe.ŽŽŸ’åBž13ŽŽŒ‹ÀÖ ¬lÀ ý4åe ­› ývåeÕdd‘°—‰ffsŽ–#™MatrixPtr›¿ªdd‘°—‰ffsŽ“AppendMatrix(matrix1,˜matrix2)ŽŽ’ ²¹:Ž¤ ™š‘`Makš²!e–’na“matrixdata“b˜y“cop˜ying“Õ*matrix1“¹and‘’oappMÞending“the“matrix“in“Õ*matrix2“¹and“returnŽ¡‘`a–ªîpMÞoinš²!ter“to“the‘ªïdata.‘ëuThe“colsize“m˜ust“bMÞe‘ªïequal“in“the“t˜w˜o“input“matrices.‘ëvIt“returns“aŽ¡‘`ÕNULL‘â-¹pMÞoin²!ter–â~if“the“input“matrices“are‘â}not“appropriate.‘’%Its“Õrowsize“¹is“set“to“the“sum“ofŽ¡‘`the–Àro²!wsizes“of›ÁÕmatrix1“¹and“Õmatrix2¹.‘ FìThe“new“matrixdata“inherits˜ev²!erything“else“(i.e.Ž¡‘`n•²!um“bšMÞert“yp˜e,›¦frepresen“tation,˜etc)˜from˜the˜ rst˜matrix.Ž©T¢Õint–¿ªdd‘°—‰ffsŽ‘#™MatrixAppendTo(&“matrix1,“matrix2)ŽŽ’ïù:Ž¡‘`Same–¦fas“Õdd‘°—‰ffsŽ‘#™AppendMatrix“¹except“that“the“ rst“matrix“is“moMÞdi ed“to“tak²!e“the“result.Ž¦Õint–¿ªdd‘°—‰ffsŽ‘#™MatrixRowRemove(&“matrix,“i)ŽŽ’Íǹ:Ž¡‘`Remo•²!v“e–¦fthe“Ði¹th“ro²!w“of“Õmatrix¹.Ž¦Õdd‘°—‰ffsŽ–#™MatrixPtr›¿ªdd‘°—‰ffsŽ“MatrixSubmatrix(matrix,˜set)ŽŽ’ÿ2°¹:Ž¡‘`Generate–-÷the›-ösubmatrix“of“Õmatrix“¹b•²!y˜remo“ving–-÷the“ro²!ws“indexed˜b²!y“Õset“¹and“return˜a“ma-Ž¡‘`trixdata‘¦fpMÞoin²!ter.Ž¦Õdd‘°—‰ffsŽ–#™SetFamilyPtr›¿ªdd‘°—‰ffsŽ“Matrix2Adjacency(matrix,˜err)ŽŽ’1X¹:Ž¡‘`Return–the“adjacency“list“of“the“represenš²!tation“giv˜en“b˜y“Õmatrix¹.‘°pThe“computation“is“done“b˜yŽ¡‘`the–7;built-in“LP‘7solvš²!er.‘¸ÏThe“represen˜tation“should›7:bMÞe“free“of“redundancy“when˜this“function“isŽ¡‘`called.‘‹-See–®Wthe“function“Õdd‘°—‰ffsŽ–#™rowset‘¿ªdd‘°—‰ffsŽ“RedundantRows›®V¹and–®Wthe“example˜program“adjacency‘ÿe.c.ŽŸ2Û4.4Ž‘ÀInput/Output‘€F‘þàunctionsŽŸ«ÿÕdd‘°—‰ffsŽ–#™MatrixPtr›¿ªdd‘°—‰ffsŽ“PolyFile2Matrix˜(f,˜err)ŽŽ’è4¹:Ž¡‘`Read–CÃa“Pš²!olyhedra“data“from“stream“Õf“¹and“store‘CÂit“in“Õmatrixdata“¹and“return“a“pMÞoin˜ter“to“theŽ¡‘`data.Ž¦Õboolean–¿ªdd‘°—‰ffsŽ‘#™DDFile2File(ifile,“ofile,“err)ŽŽ’ïù:Ž¡‘`Compute–ò”the“represenš²!tation“con˜v˜ersion“for“a“pMÞolyhedron“giv˜en“b˜y“a“P˜olyhedra“ le“i le,‘ŸandŽ¡‘`write–©the›©other“represen²!tation“in˜a“P²!olyhedra“ le˜o le.‘æÕ*err˜¹returns“Õdd‘°—‰ffsŽ‘#™NoError“¹if˜the“com-Ž¡‘`putation–¦fterminates“normally‘ÿe.‘ÝÝOtherwise,“it“returns“a“v‘ÿdDalue“according“to“the“error“oMÞccured.Ž¦Õvoid–¿ªdd‘°—‰ffsŽ‘#™WriteMatrix(f,“matrix)ŽŽ’°Su¹:Ž¡‘`W‘ÿerite–¦fÕmatrix“¹to“stream“Õf¹.Ž¦Õvoid–¿ªdd‘°—‰ffsŽ‘#™WriteNumber(f,“x)ŽŽ’“•#¹:Ž¡‘`W‘ÿerite–£Õx“¹to“stream“Õf¹.‘¨If“Õx“¹is“of“GMP‘{mpMÞq‘¨/‰ffHøŽ‘ñ't“rational“Ðp=qšd“¹,‘&—the“output“is“Ðp=q˜¹.‘¨œIf“it“is“of“C‘{double,Ž¡‘`it–¦fis“formated“as“a“double“ oat“with“a“decimal“pMÞoin²!t.Ž¦Õvoid–¿ªdd‘°—‰ffsŽ‘#™WritePolyFile(f,“poly)ŽŽ’°Su¹:Ž¡‘`W‘ÿerite–¦ftt“pMÞoly“to“stream“Õf“¹in“P²!olyhedra“format.Ž¦Õvoid–¿ªdd‘°—‰ffsŽ‘#™WriteErrorMessages(f,“err)ŽŽ’ÇR¹:Ž¡‘`W‘ÿerite–¦ferror“messages“givš²!en“b˜y“Õerr“¹to“stream“Õf¹.Ž¦Õvoid–¿ªdd‘°—‰ffsŽ‘#™WriteSetFamily(f,“setfam)ŽŽ’Á’s¹:Ž¡‘`W‘ÿerite–:Îthe›:Íset“family˜pMÞoinš²!ted“b˜y›:ÍÕsetfam“¹to˜stream“Õf¹.‘›F‘ÿeor“eac²!h˜set,‘_çit“outputs˜its“index,‘_çitsŽ¡‘`cardinalitš²!y‘ÿe,–¦fa“colon“\:"‘ÝÝand“a“ordered“list“of“its“elemen˜ts.Ž¦Õvoid–¿ªdd‘°—‰ffsŽ‘#™WriteSetFamilyCompressed(f,“setfam)ŽŽ’û¹:Ž¡‘`W‘ÿerite–:Îthe›:Íset“family˜pMÞoinš²!ted“b˜y›:ÍÕsetfam“¹to˜stream“Õf¹.‘›F‘ÿeor“eac²!h˜set,‘_çit“outputs˜its“index,‘_çitsŽ¡‘`cardinalitš²!y–“or“the“negativ˜e“of“the“cardinalit˜y‘ÿe,‘8Þa“colon“\:"‘È7and“the“elemen˜ts“in“the“set“or“itsŽŽŸ’åBž14ŽŽŒ‹Î, ¬lÀ ý4åe ­› ývåe‘`¹complemen•²!ts›±Åwhic“hev“er˜is˜smaller.‘ÿûWhenev“er˜it˜outputs˜the˜complemen“ts,‘ôthe˜cardinalit“yŽ¤ ™š‘`is–ðªnegated›ð«so“that“there“is˜no“am•²!biguit“y‘ÿe.‘¼ªThis–ðªwill“bMÞe“considered˜standard“for“outputingŽ¡‘`incidence–É%(*.icd,›ÑÕ*ecd)“and“adjacency“(*.iad,˜*.ead)“data“in“cddlib.‘FBut“there“is“some“minorŽ¡‘`incompatibilit²!y–¦fwith“cdd/cdd+“standalone“coMÞdes.Ž©™šÕvoid‘¿ªdd‘°—‰ffsŽ‘#™WriteProgramDescription(f)ŽŽ’ÇR¹:Ž¡‘`W‘ÿerite–¦fthe“cddlib“v²!ersion“information“to“stream“Õf¹.Ž¦Õvoid–¿ªdd‘°—‰ffsŽ‘#™WriteDDTimes(f,“poly)ŽŽ’ª“˹:Ž¡‘`W‘ÿerite–¦fthe“represenš²!tation“con˜v˜ersion“time“information“on“Õpoly“¹to“stream“Õf¹.ŽŸR…Û4.5Ž‘ÀObsolete‘€F‘þàunctionsŽŸ«ÿÕboolean–¿ªdd‘°—‰ffsŽ‘#™DoubleDescription(poly,“err)ŽŽ’äo¹:‘ÝÝ(remo•²!v“ed–¦fin“V‘ÿeersion“0.90c)Ž¡‘`The–sânew“function“Õdd‘°—‰ffsŽ‘#™DDMatrix2Poly(matrix,‘¿ªerr)“¹(see‘sáSection“4.2)“replaces“(and“actuallyŽ¡‘`com²!bines)–¦fbMÞoth“this“and“Õdd‘°—‰ffsŽ‘#™Matrix2Poly(matrix,‘¿ªerr)¹.Ž¦Õdd‘°—‰ffsŽ–#™PolyhedraPtr›¿ªdd‘°—‰ffsŽ“Matrix2Poly(matrix,˜err)ŽŽ’ùs¹:‘ÝÝ(remo•²!v“ed–¦fin“V‘ÿeersion“0.90c)Ž¡‘`See›¦fabMÞo•²!v“e˜for˜the˜reason˜for˜remo“v‘ÿdDal.Ž¦Õdd‘°—‰ffsŽ–#™LPSolutionPtr‘¿ªdd‘°—‰ffsŽ“LPSolutionLoad(lp)ŽŽ’Ü´´¹:‘ÝÝ(renamed–¦fin“V‘ÿeersion“0.90c)Ž¡‘`This–¦ffunction“is“no²!w“called“Õdd‘°—‰ffsŽ‘#™CopyLPSolution(lp)¹.ŽŸR…Û4.6Ž‘ÀSet–€F‘þàunctions“in“ó1߆µT cmtt12Üsetoper“ÛlibraryŽŸ«ÿ¹The–°Icddlib“comes›°Hwith“a“simple“set“opMÞeration“library˜Õsetoper¹.‘û†The“kš²!ey“t˜ypMÞe‘°Hde ned“is“Õset‘°—‰ffsŽ‘#™type¹.Ž¡A‘»cset–»his“represenš²!ted“b˜y“a“ xed“length“binary“strings.‘äTh˜us,‘À¨the“maxim˜um‘»ilength“of“a“set“m˜ust“bMÞeŽ¡declared–¦fwhen“it“is“initialized.Ž¡‘Belo•²!w›V7the‘V6sym“bMÞols˜Õa¹,–f@Õb¹,“Õc˜¹are˜of–V6t²!ypMÞe˜Õset‘°—‰ffsŽ‘#™type¹.‘Ã#The“sym²!bMÞols˜ÕaP‘V#¹is“a˜pMÞoin²!ter˜to“t²!ypMÞe˜Õset‘°—‰ffsŽ‘#™type¹,Ž¡and–ÛzÕs¹,‘è¿Õt›Ûy¹are“of“t²!ypMÞe“Õlong¹.‘}Here“are˜some“of“the“functions“de ned.‘}See˜Õsetoper.h“¹for“a“completeŽ¡listing.ŽŸ™šÕvoid–¿ªset‘°—‰ffsŽ‘#™initialize(aP,“s)ŽŽ’™T͹:Ž¡‘`AlloMÞcate–æna›æoÕset‘°—‰ffsŽ‘#™type“¹space˜of“maxim•²!um˜cardinalit“y–ænÕs˜¹and“mak²!e“it˜pMÞoinš²!ted“b˜y›æoÕaP¹.“The˜set“isŽ¡‘`initialized–¦fas“empt²!y“set.Ž¦Õvoid‘¿ªset‘°—‰ffsŽ‘#™free(a)ŽŽ‘_Ø)¹:Ž¡‘`F‘ÿeree–¦fthe“Õset‘°—‰ffsŽ‘#™type“¹space“alloMÞcated“for“Õa¹.Ž¦Õvoid–¿ªset‘°—‰ffsŽ‘#™copy(a,“b))ŽŽ‘vÖѹ:Ž¡‘`Set–±¹Õa›±º¹to“bMÞe˜Õb¹.‘ÿ×The˜set“Õa˜¹m²!ust“bMÞe˜pre-initialized“with˜the“same˜maximš²!um“cardinalit˜y‘±ºas“thatŽ¡‘`of‘¦fÕb¹.Ž¦Õvoid–¿ªset‘°—‰ffsŽ‘#™addelem(a,“t))ŽŽ’ˆϹ:Ž¡‘`Add–¦fan“elemenš²!t“Õt“¹to“a“set“Õa¹.‘ÝÝThe“set“Õa“¹sta˜ys“unc˜hanged“if“it“con˜tains“the“elemen˜t“Õt¹.Ž¦Õlong‘¿ªset‘°—‰ffsŽ‘#™card(a))ŽŽ‘e—Ó¹:Ž¡‘`Return–¦fthe“cardinalit²!y“of“set“Õa¹.Ž¦Õint–¿ªset‘°—‰ffsŽ‘#™member(t,“a))ŽŽ‘|–{¹:Ž¡‘`Return–¦f1“if“Õt“¹is“a“mem²!bMÞer“of“set“Õa¹,“and“0“otherwise.ŽŽŸ’åBž15ŽŽŒ‹ÜÛ ¬lÀ ý4åe ­› ývåeÕvoid‘¿ªset‘°—‰ffsŽ‘#™write(a))ŽŽ‘kW}¹:Ž¤ ™š‘`Prinš²!t–X€out‘Xthe“elemen˜ts›Xof“set“Õa˜¹to“Õstdout¹.‘ÃæThe˜function“Õvoid–¿ªset‘°—‰ffsŽ‘#™fwrite(f,“a))˜¹output‘X€toŽ¡‘`stream‘¦fÕf¹.Ž©"z¾Î5Ž‘LËAn–ffExtension“of“the“CDD“Library“in“GMP“mos3deŽŸq‹¹Starting–Ìfrom‘Ëthe“vš²!ersion“093,‘;¤the“GMP‘­v˜ersion“of‘Ëcddlib,–;¥Õlibcddgmp.a¹,“con˜tains–Ìall‘Ëcdd“libraryŽ¡functions–€²in“t•²!w“o–€²arithmetics.‘lÁAll“functions“with“the“standard“pre x“Õdd‘°—‰ffsŽ‘¤K¹are“computed“with“theŽ¡GMP‘ckrational–c›arithmetic“as›cœbMÞefore.‘}The“same“fuctions˜with“the“new˜pre x“Õddf‘°—‰ffsŽ‘‡4¹are˜no²!w“addedŽ¡to–ãŽthe“library“Õlibcddgmp.a‘ã¹that“are“based“on“the“C‘ã~double“ oating-pMÞoinš²!t“arithmetic.‘•TTh˜us“theseŽ¡functions–’oare›’pequiv‘ÿdDalen²!t“to˜Õlibcdd.a“¹functions,‘Írexcept“that˜all“functions˜and“v‘ÿdDariable˜t²!ypMÞes“areŽ¡with–¦fpre x“Õddf‘°—‰ffsŽ‘Éÿ¹and“the“v‘ÿdDariable“tš²!ypMÞe“Õmytype“¹is“replaced“b˜y“Õmyfloat¹.Ž¡‘In– ˜this“sense,‘ÔõÕlibcdd.a“¹is“a“propMÞer“subset“of“Õlibcddgmp.a“¹and“in“principle“one“can“do“ev²!erythingŽ¡with–¦fÕlibcddgmp.a¹.‘ÝÝSee“ho²!w“the“new“Õdd‘°—‰ffsŽ‘#™LPSolve“¹is“written“in“cddlp.c.Ž¦Î6Ž‘LËExamplesŽŸq‹¹See–6çexample›6ècoMÞdes“suc²!h˜as“testcdd*.c˜,–M4testlp*.c,“redc•²!hec“k.c,–M4adjacency‘ÿe.c,“allfaces,c‘6çand˜simplecdd.cŽ¡in–¦fthe“Õsrc“¹and“Õsrc-gmp“¹subMÞdirectories“of“the“source“distribution.Ž¦Î7Ž‘LËNumerical‘ffAccuracyŽŸq‹¹A‘zlittle–zÆcaution“is‘zÅin“order.‘ZüManš²!y“pMÞeople“ha˜v˜e“observ˜ed‘zÅn˜umerical“problems“of“cddlib‘zÅwhen“theŽ¡ oating–¥ºv²!ersion›¥¹of“cddlib“is˜used.‘ÛØAs“w²!e“all˜kno•²!w,‘å oating-pMÞoin“t˜computation›¥ºmigh“t˜not‘¥¹giv“e˜aŽ¡correct–2answš²!er,‘1oespMÞecially“when“an‘1input“data“is“v˜ery‘1sensitiv˜e“to“a‘1small“pMÞerturbation.‘­!When“someŽ¡strange–PõbMÞehaš²!vior“is“observ˜ed,‘b it“is“alw˜a˜ys“wise“to“create“a“rationalization“of“the“input“(for“example,Ž¡one–Xcan“replace›Y0.3333333“with“1/3)“and“to“compute˜it“with“cddlib“compiled“with˜gmp“rational“toŽ¡see–’°what“a‘’±correct“bšMÞeha²!vior“should“b˜e.‘×KWhenev²!er›’±the“time“is“not˜impMÞortan²!t,‘–¡it“is“safer˜to“use“gmpŽ¡rational‘¦farithmetic.Ž¡‘If–ƒŽy²!ou›ƒneed“spMÞeedy˜computation“with˜ oating-pMÞoinš²!t“arithmetic,‘Š‡y˜ou“migh˜t‘ƒw˜an˜t“to‘ƒ\pla˜y“with"Ž¡the–¦fconstan²!t“Õdd‘°—‰ffsŽ‘#™almostzero“¹de ned“in“cdd.h:Ž¤v‡‘>þÕ#define‘¿ªdd_almostzero‘ T1.0E-7Ž¡¹This›¶Än•²!um“bMÞer˜is–¶Ãused˜to˜recognize˜whether“a˜n•²!um“bMÞer˜is˜zero:‘þ˜a˜n“um“bMÞer˜whose‘¶Ãabsolute˜v‘ÿdDalue˜isŽ¤ ™šsmaller–‰êthan›‰éÕdd‘°—‰ffsŽ‘#™almostzero“¹is“considered˜zero,‘ÂËand˜nonzero“otherwise.‘ˆhY‘ÿeou“can“c²!hange˜this“toŽ¡mo•MÞdify›U¨the‘U©b“eha•²!vior˜of˜cddlib.‘ë¤One˜migh“t–U©consider˜the˜default“setting˜is˜rather˜large“for˜doubleŽ¡precision–yØarithmetic.‘X2This“is“bMÞecause“cddlib“is›y×made“to“deal“with“highly“degenerate˜data“and“itŽ¡wš²!orks–¦fbMÞetter“to“treat“a“relativ˜ely“large“\epsilon"“as“zero.Ž¡‘Another–ö­thing›ö®one“can“do“is˜scaling.‘βIf˜the“v‘ÿdDalues“in“one˜column“of“an“input˜is“of“smallerŽ¡magnitude–¦fthan“those“in“another“column,“scale“one“so“that“they“bMÞecome“comparable.Ž¦Î8Ž‘LËOther–ffUseful“Cos3desŽŸq‹¹There–jáare“sevš²!eral“other“useful“coMÞdes“a˜v‘ÿdDailable“for“v˜ertex“en˜umeration“and/or“con˜v˜ex“h˜ull“computa-Ž¡tion–¦fsucš²!h“as“lrs,“qh˜ull,“pšMÞorta“and“irisa-p˜olylib.‘ÝÝThe“p˜oin²!ters“to“these“co˜des“are“a²!v‘ÿdDailable“atŽŸ|_‘ b%1.ŽŽŽ‘`lrs–¦fbš²!y“D.“Avis“[2Ž‘yš]“(C“implemen˜tation“of“the“rev˜erse“searc˜h“algorithm“[4Ž‘yš]).ŽŽŸ’åBž16ŽŽŒ‹é™ ¬lÀ ý4åe ­› ývåe‘ b%¹2.ŽŽŽ‘`qh•²!ull›¼b“y˜C.B.‘¼BarbMÞer˜[6Ž‘yš]˜(C‘»Ìimplemen“tation˜of˜the˜b•MÞeneath-b“ey²!ond˜metho“d,–êçsee˜[10Ž‘ ó4,˜20Ž‘ ¯<],“whic²!hŽ© ™š‘`is–¦fthe“dual“of“the“dd“methoMÞd).Ž¤v‘ b%3.ŽŽŽ‘`pšMÞorta–ýàb²!y“T.“Christof‘ýáand“A.“L‘ú†fob˜el“[8Ž‘yš]“(C‘ýµimplemen²!tation‘ýáof“the“F‘ÿeourier-Motzkin“elimination).Ž¡‘ b%4.ŽŽŽ‘`IRISA‘ÿJpMÞolyhedral–ÿ¢library›ÿ£b²!y“D.K.˜Wilde“[23Ž‘ ó4]˜(C‘ÿJimplemen²!tation“of˜a“v‘ÿdDariation˜of“the˜ddŽ¦‘`algorithm).ŽŸw‘ b%5.ŽŽŽ‘`PPL:–ÿlthe“Pš²!arma“P˜olyhedra“Library“[5Ž‘yš]“b˜y“R.“Bagnara“(C++“implemen˜tation“of“a“v‘ÿdDariationŽ¦‘`of–¦fthe“dd“algorithm).Ž¡‘ b%6.ŽŽŽ‘`Õpd–¦f¹bš²!y“A.“Marzetta“[18Ž‘ ó4]“(C“implemen˜tation“of“the“primal-dual“algorithm“[7Ž‘yš]).Ž¡‘ b%7.ŽŽŽ‘`Geometry–¦fCenš²!ter“Soft˜w˜are“List“b˜y“N.“Amen˜ta“[1Ž‘yš].Ž¡‘ b%8.ŽŽŽ‘`Computational–¦fGeometry“Pš²!ages“b˜y“J.“Eric˜kson“[11Ž‘ ó4].ŽŸw‘ b%9.ŽŽŽ‘`Linear–¦fProgramming“F‘þȈAš²!Q“b˜y“R.“F‘ÿeourer“and“J.“Gregory“[12Ž‘ ó4].Ž¡‘è‹10.ŽŽŽ‘`ZIB–¦fBerlin“pMÞolyhedral“soft•²!w“are‘¦flist:Ž¦‘`ftp://elib.zib-b•MÞerlin.de/pub/mathprog/p“olyth/index.h²!tml.Ž¡‘è‹11.ŽŽŽ‘`Pš²!olyhedral–¦fComputation“F‘þȈA˜Q“[13Ž‘ ó4].ŽŸ!ʯÎ9Ž‘LËCos3des–ffUsing“CddlibŽŸq‹¹There–¦fare“quite“a“few“nice“programs“using“some“functions“of“cddlib.‘ÝÝHere“are“some“of“them.ŽŸ/‘ b%1.ŽŽŽ‘`ÕLattE–¦f¹[9Ž‘yš]“computes“the“n•²!um“bšMÞer–¦fof“lattice“p˜oinš²!ts“in“a“con˜v˜ex“p•MÞolytop“e.Ž¡‘ b%2.ŽŽŽ‘`ÕMinksum–Aƒ¹[22Ž‘ ó4]“is“a“program“to“compute“the“V-represenš²!tation‘A‚(i.e.‘¯4the“set“of“v˜ertices)“of“theŽ¦‘`Mink•²!o“wski–Ôdaddition‘Ôeof“sevš²!eral“con˜v˜ex“p•MÞolytop“es‘Ôegiv˜en–Ôdb˜y“their“V-represen˜tation›Ôein“ó)ˆ¶È ó3 msbm10ÔRŸü¾¿dŽ‘ߨ¹.‘—ÜIt˜is“anŽ¦‘`implemen²!tation–NŽin›NC++“language˜of“the˜revš²!erse“searc˜h›Nalgorithm“[14Ž‘ ó4]˜whose“time˜complexit²!yŽ¦‘`is–¦fpšMÞolynomially“b˜ounded“b²!y“the“sizes“of“input“and“output.Ž¡‘ b%3.ŽŽŽ‘`ÕGfan–æµ¹[17Ž‘ ó4]›æ´is“a“program˜to“list“all“reduced˜Gr‘ú†fobner“bases“of˜a“general“pMÞolynomial˜ideal“giv²!enŽ¦‘`b²!y–¾a“set“of“generating›¾pMÞolynomials“in“Ðn¹-v‘ÿdDariables.‘$½It“is“an˜implemen²!tation“in“C++“languageŽ¦‘`of–¦fthe“revš²!erse“searc˜h“algorithm“[15Ž‘ ó4].Ž¡‘ b%4.ŽŽŽ‘`ÕTOPCOM‘,p¹[21Ž‘ ó4]–,Õcomputes›,Ôthe“com²!binatorial˜structure“(the˜orien²!ted“matroid)˜of“a˜pMÞoin²!t“con-Ž¦‘` guration–Áuand›Áven²!umerates“all“triangulations“of˜a“pMÞoin²!t“set.‘/ It“detects“the˜regularlit²!y“of“aŽ¦‘`triangulation–¦fusing“cddlib.ŽŸ!ʯÎAc•ŒÌkno“wledgemen“ts.ŽŸq‹¹I‘O1am–Ožgrateful›OŸto“T‘ÿeom“Liebling“who˜pro²!vided“me“with˜an“ideal“oppMÞortunit²!y“to˜visit“EPFL‘O1forŽ¦the–vkacademic‘vjyš²!ear“1993-1994.‘MëLater,‘ªlHans-Jak˜ob“LMÞ‘ú8ˆuthi–vj(ETHZ)‘v6and“Emo–vkW‘ÿeelzl“(ETHZ)‘v5joinedŽ¦to–¬œsuppMÞort›¬the“the“dev•²!elopmen“t–¬œof˜cdd“coMÞdes“(cdd,‘î*cdd+,‘î)cddlib).‘ð€Without“their˜generous“andŽ¦con•²!tin“uing–¦fsuppMÞort,“the“presenš²!t“form“of“this“program“w˜ould“not“ha˜v˜e“existed.Ž¦‘There–%²are“man²!y“other‘%³pšMÞeople“who“help˜ed“me“to“impro•²!v“e–%²cdd,›E…in“particular,˜I‘%’am“indebted“toŽ¦Daš²!vid–™¦Avis,‘œ3Alexander“BoMÞc˜kma˜yr,‘œ3Da˜vid–™§Bremner,‘œ2Henry“CrapMÞo,–œ3Istv‘ÿdDan›™¦Csabai,“F‘ÿerancois˜Margot,Ž¦Marc–%îPfetscš²!h,‘EÐAlain“ProMÞdon,‘EÏJ‘ú†forg“Ram˜bau,‘EÐDima“P˜asec˜hnik,‘EÏSha˜wn“Rusa˜w,‘EÐMatthew“Saltzman,Ž¦Masanori–þOSato,›íAnders“Jensen,˜Rurikš²!o–þNY‘ÿeoshida,‘îCharles“Gey˜er,–íMic˜hal‘þOKv‘ÿdDasnica,“Sv˜en‘þOV‘ÿeerdoMÞolaegeŽ¦(listed–¦fin“arbitrary“order)“and“those“listed“in“the“HISTOR‘ÿeY“ le.ŽŽŸ’åBž17ŽŽŒ‹øW ¬lÀ ý4åe ­› ývåeÎReferencesŽŸq‹‘yš¹[1]ŽŽ‘‚$N.–nïAmen²!ta.›ß Directory“of“computational“geometry‘ÿe.˜h•²!ttp://www.geom.uiuc.edu/soft“w“are/cglist/.Ž¤X@‘yš[2]ŽŽ‘‚$D.‘¦fAvis.–ÚÀØlrs‘êêHomep‘ÿp¹age¹.“h•²!ttp://cgm.cs.mcgill.ca/~a“vis/C/lrs.h“tml.Ž¡‘yš[3]ŽŽ‘‚$D.–`íAvis,›ŽD.“Bremner,˜and“R.“Seidel.‘šHoš²!w“go•MÞo“d–`íare“con˜v˜ex“h˜ull“algorithms.‘šØComputationalŽ¤ ™š‘‚$Ge–ÿp¹ometry:‘ vThe“ory–êêand“Applic‘ÿp¹ations¹,–¦f7:265{302,“1997.ŽŸX?‘yš[4]ŽŽ‘‚$D.–¿—Avis›¿–and“K.˜F‘ÿeukuda.‘ ³A‘¿Opiv²!oting˜algorithm“for˜con•²!v“ex‘¿—h“ulls˜and‘¿—v“ertex˜en“umeration‘¿—ofŽ¡‘‚$arrangemen²!ts–¦fand“pMÞolyhedra.‘ÚÀØDiscr›ÿp¹ete–êêComput.“Ge˜om.¹,–¦f8:295{313,“1992.Ž¤X@‘yš[5]ŽŽ‘‚$R.–¦fBagnara.›ÚÀP²!arma“pMÞolyhedra“library“homepage,“2004.˜h²!ttp://www.cs.unipr.it/ppl/.Ž¡‘yš[6]ŽŽ‘‚$C.B.–¦LBarbMÞer,›æFD.P‘ÿe.“Dobkin,˜and“H.‘¦MHuhdanpaa.–ÕVØqhul‘Fl,‘2V‘ÿ)ersion‘ÖW2003.1¹,˜2003.“program‘¦LandŽ© ™š‘‚$repMÞort–¦faš²!v‘ÿdDailable“from“h˜ttp://www.qh˜ull.org/.Ž¡‘yš[7]ŽŽ‘‚$D.–zÝBremner,›ƒ‘K.“F‘ÿeukuda,˜and“A.–zÜMarzetta.‘“ÉPrimal-dual“methoMÞds›zÝfor“v²!ertex˜and“facet˜en²!umer-Ž¦‘‚$ation.‘ÚÀIn‘¦fØPr–ÿp¹o“c.–êê13th“Aš¸\nnu.“A˜CM“Symp›ÿp¹os.“Comput.“Ge˜om.¹,–¦fpages“49{56,“1997.ŽŸX?‘yš[8]ŽŽ‘‚$T.–{3Christof›{4and“A.˜L‘ú†fobMÞel.‘”VPOR–ÿeT“A:‘{3P•²!olyhedron˜represen“tation–{3transformation˜algorithm“(v²!er.Ž¦‘‚$1.3.1),‘¦f1997.‘ÚÀh•²!ttp://www.zib.de/Optimization/Soft“w“are/P“orta/.Ž¡‘yš[9]ŽŽ‘‚$J.‘Rde–RLoMÞera,›¼ðD.“Ha²!ws,˜R.“Hemmec•²!k“e,˜P“eter‘RHuggins,–¼ïJ.›RT‘ÿeauzer,“and˜R.˜Y‘ÿeoshida.‘ ÕØL‘ÿp¹attE¹.Ž¦‘‚$Univ•²!ersit“y–¦fof“California,“Daš²!vis,“2005.‘ÚÀa˜v‘ÿdDailable“from“h˜ttp://www.math.ucda˜vis.edu/“latte/.Ž¡[10]ŽŽ‘‚$H.‘¦fEdelsbrunner.›ÚÀØA¸\lgorithms–êêin“Combinatorial“Ge‘ÿp¹ometry¹.˜Springer-V‘ÿeerlag,‘¦f1987.Ž¡[11]ŽŽ‘‚$J.–×ÑEricš²!kson.‘TqComputational‘×Ògeometry“pages,‘ $*list“of“soft˜w˜are“libraries‘×Òand“coMÞdes.Ž¦‘‚$h²!ttp://compgeom.cs.uiuc.edu/~je e/compgeom/.ŽŸX?[12]ŽŽ‘‚$R.–\,F‘ÿeourer›\-and“J.W.˜Gregory‘ÿe.‘ óTLinear“programming˜frequenš²!tly“ask˜ed‘\-questions“(LP-F‘þȈA˜Q).Ž¦‘‚$h•²!ttp://www-unix.mcs.anl.go“v/otc/Guide/faq/linear-programming-faq.h“tml.Ž¡[13]ŽŽ‘‚$K.–{SF‘ÿeukuda.‘UGPš²!olyhedral“computation‘{TF‘þȈA˜Q,“1998.‘UGBoth“h˜tml‘{Tand“ps“v˜ersions‘{Ta˜v‘ÿdDailable“fromŽ¦‘‚$h•²!ttp://www.ifor.math.ethz.c“h/~fukuda/fukuda.h“tml.Ž¡[14]ŽŽ‘‚$K.›±lF–ÿeukuda.‘ ñ`F“rom–±mthe˜zonotopMÞe“construction˜to“the˜Mink•²!o“wski–±maddition˜of“con•²!v“ex˜pMÞoly-Ž¦‘‚$topMÞes.› ÊjØJournal‘Àof–ÀSymb‘ÿp¹olic“Computation¹,‘#Ö38(4):1261{1272,‘#Õ2004.˜pMÞdf–¤Y le‘¤Za²!v‘ÿdDailable“fromŽ¦‘‚$h•²!ttp://www.cs.mcgill.ca/~fukuda/do“wnload/pap•MÞer/minksum031007jsc.p“df.Ž¡[15]ŽŽ‘‚$K.–C…F‘ÿeukuda,›ªËA.“Jensen,˜and“R.–C„Thomas.‘ ©ÛComputing“Gr‘ú†fobner–C…fans.› ©ÚT‘ÿeec²!hnical“repMÞort.˜InŽ¦‘‚$preparation.ŽŸX?[16]ŽŽ‘‚$K.–7êF‘ÿeukuda›7ëand“A.“ProMÞdon.‘ ‡GDouble˜description“methoMÞd“revisited.‘ ‡GIn˜M.“Deza,‘œKR.“Euler,Ž¦‘‚$and‘çËI.‘çÌManoussakis,‘x#editors,›x$ØCombinatorics‘þand–þComputer“Scienc‘ÿp¹e¹,˜v²!olume–çË1120‘çÌof“ØL–ÿp¹e“c-Ž¦‘‚$tur›ÿp¹e–piNotes“in“Computer“Scienc˜e¹,›[Èpages–791{111.“Springer-V‘ÿeerlag,˜1996.‘‹+ps“ le“a²!v‘ÿdDailable“fromŽ¦‘‚$ftp://ftp.ifor.math.ethz.c²!h/pub/fukuda/repMÞorts/ddrev960315.ps.gz.Ž¡[17]ŽŽ‘‚$A.N.‘ƈJensen.›5bØGfan–óþversion‘óÿ0.1:‘žA‘óºUser's“Manual¹.˜Departmen²!t–ƈof‘ƇMathematical“Sciences,Ž¦‘‚$Univ•²!ersit“y›%Ñof‘%ÒAarh“us˜and–%ÒInstitute˜for“OpMÞerations˜Researc•²!h,›?‰ETH‘%±Zuric“h,˜2005.‘ (a“v‘ÿdDailable‘%ÑfromŽ¦‘‚$h•²!ttp://home.imf.au.dk/a‘›»jensen/soft“w“are/gfan/gfan.h“tml.Ž¡[18]ŽŽ‘‚$A.‘¢_Marzetta.›Ô0Øp‘ÿp¹d–ç6{“C-implementation“of‘ç5the“primal-dual“algoirithm¹,‘£-1997.˜coMÞde‘¢`a²!v‘ÿdDailable‘¢_fromŽ¦‘‚$h•²!ttp://www.cs.un“b.ca/profs/bremner/pMÞd/.ŽŽŸ’åBž18ŽŽŒ‹' ¬lÀ ý4åe ­› ývåe¹[19]ŽŽ‘‚$T.S.–+]Motzkin,›LšH.“Rai a,˜GL.“Thompson,˜and“R.M.“Thrall.‘füThe‘+\double“description“methoMÞd.Ž¤ ™š‘‚$In–ÓvH.W.›ÓwKuhn“and˜A.W.T‘ÿeuc•²!k“er,‘Þºeditors,‘Þ»ØContributions–_to›`the‘ÿp¹ory“of“games,‘½V‘ÿ)ol.˜2¹.‘ÓvPrincetonŽ¡‘‚$Univ•²!ersit“y–¦fPress,“Princeton,“RI,“1953.Ž©™š[20]ŽŽ‘‚$K.‘…ÛMulm²!uley‘ÿe.‘t§ØComputational–¸Ge›ÿp¹ometry,‘ëâAn“Intr˜o˜duction–¸~Thr˜ough“Randamize˜d“Algorithms¹.Ž¡‘‚$Pren²!tice-Hall,‘¦f1994.Ž¦[21]ŽŽ‘‚$J.‘‰Ram²!bau.‘ yØTOPCOM,–¦øa›¦÷p‘ÿp¹ackage“for˜c‘ÿp¹omputing“T‘ÿ)riangulations“Of˜Point“Con gur‘ÿp¹ationsŽ¡‘‚$and‘I‡Oriente–ÿp¹d‘I†Matr“oids¹.‘ ‡¬Univ•²!ersit“y›9Ãof‘9ÄBa“yreuth,‘Þš2005.‘ ‡«a“v‘ÿdDailable˜from‘9Äh“ttp://www.uni-Ž¡‘‚$ba•²!yreuth.de/departmen“ts/wirtsc“haftsmathematik/ram“bau/TOPCOM/.Ž¦[22]ŽŽ‘‚$C.›MçW‘ÿeeibMÞel.–JØMinksum‘™version‘™€1.1¹.“Mathematics˜Institute,–_šEPF‘MÐLausanne,“2005.‘Ja²!v‘ÿdDailable˜fromŽ¡‘‚$h•²!ttp://roso.ep 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All Rights Reserved) readonly def /FullName (CMTT12) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch true def end readonly def /FontName /CMTT12 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 101 /e put dup 111 /o put dup 112 /p put dup 114 /r put dup 115 /s put dup 116 /t put readonly def /FontBBox{-1 -234 524 695}readonly def currentdict end currentfile eexec D9D66F633B846A97B686A97E45A3D0AA052A014267B7904EB3C0D3BD0B83D891 016CA6CA4B712ADEB258FAAB9A130EE605E61F77FC1B738ABC7C51CD46EF8171 9098D5FEE67660E69A7AB91B58F29A4D79E57022F783EB0FBBB6D4F4EC35014F D2DECBA99459A4C59DF0C6EBA150284454E707DC2100C15B76B4C19B84363758 469A6C558785B226332152109871A9883487DD7710949204DDCF837E6A8708B8 2BDBF16FBC7512FAA308A093FE5F0364CD5660FE13FF01BC20148F9C480BCD0E C81D5BFC66F04993DD73F0BE0AB13F53B1BA79FE5F618A4F672B16C06BE3251E 3BCB599BFA0E6041FBD558475370D693A959259A2699BA6E97CF40435B8E8A4B 426343E145DF14E59028D4E0941AB537E34024E6CDE0EA9AF8038A3260A0358D D5B1DB53582F0DAB7ADE29CF8DBA0992D5A94672DFF91573F38D9BFD1A57E161 E52DA1B41433C82261E47F79997DF603935D2A187A95F7A25D148FB3C2B6AA32 6B982C32C6B25867871ED7B38E150031A3DE568C8D3731A779EAAF09AC5CE6C5 A129C4147E56882B8068DF37C97C761694F1316AF93E33FF7E0B2F1F252735CE 0D9F7BCE136B06EE967ABE0C8DF24DCBBF99874702ED252B677F407CB39678CC 85DDFC2F45C552BA967E4158165ED16FECC4E32AC4D3B3EB8046DCDD37C92FDF F1F3710BB8EF5CA358ABACA33C7E5ACAD6BF5DC58BDFC3CF09BA2A38291D45A4 C15FF1916FE2EC47FDC80911EB9C61F5D355BEDFC9DB17588547763AC5F0B1CC 12D2FFB32E0803D37E3281DA9CE36C5433655526ACFB3A301C56FAB09DF07B5D 048B47687348DEB96F3F9C53CE56DDD312B93D3918CD92AF53FB9461864D11B8 0138918D0B1270C54873C4012CDE6F886DB11BCEA04B023EBB43E0D0A06BE725 741D08B9DB688731A6C9886C15A83C28DADCC81385EA239E045E8F3670CE03DB 9EE77ED067036595C9F3B1854343BE3A12E486B6E5A2F8AC44FA5378D28DCCEE 306B0E283AA444423F9A4FF38E2B56DCF67A39CEB2C643DAE86865517D5D0371 CB8797208ADEC637330A3A57902C9A88EDB75A7C16FA9850075D9F19578EC666 1353CC1FC512D59DFF847ACCD5A0FDA6F4CF4BB7C9EE62271154425996A08944 E79BA092B9C46D95B60E552920809BA9381100F0BCC0ADA2151356112D2BC805 B7BA9B4FAE18B451812D36A006CAED7DD4BE2CC57D77AB3CD68C3A36EBF00C84 DE0B7744EA189CD804044B0ACF0CA7DD7BD0338595B6AF02CC620F4AC22968CB E47A8389E2D6CEE4E1F4E2B6166D38D641206C007A3E5BDF9F295FBCD665C6C6 6D30F4E3F6C41361A4FEA2D7B803A7D0198ECE994B6BC48F24AD243CAA496AE9 4CF6B05BA607114574162FAB1611A65DDC069B5E074783640FB2526B02461BF8 9D6BDC3A50CEB8AE7A677C697D6AA75E18C1EB094575247D90DCD94218526CD7 5853E82F44636DA30249835F50AE8353CF2D84846FF0041350CB27EB59342D5C 405747DF9E6FF28E3A3278B9AD1C5338A9E1749FA4B4B780DBA0B2845BF9D39D 512ECCE5EB9147639DB6C99343EE1FD5A7B4E46AE768218BC2DCC447119DC159 2616693AF9F80DFF26D5923F05F3059551CDB0787B592AD23637CCD58D101B09 A0B5A90C2C8F0BBB51D09219B124B059C90FACC2B550E0F23336EA72AA934083 E65053BDD0EFA12DF4E294D0D622E81FC44A9625BAEF51CA7AC29D3DA03C482B 79422328AEF3CB01EE3FE4F934C551C039A352BF4644C417F49CDE280CBC391B 4985104D06E4D393644E5C70DCCB4C6E18F5CFCE0C2976971A4869DAD0B37455 ADBB0A49D4C48BF342A1E6A639E51B544633636240EA84E5860AEA78F8ED2A10 FFF7912FF99871FFB1AA53ABD8AE839D19F54F88DF5AB4B8BEFFFECC81B17E4E 41877F3F051B2CBBF1EBFF0C21B42C22DD2FC72C6BB96C3D5418DCDB943DBEB2 6FBC871D78E893E1AA4F7E2885869F4C6BC8B1E62E34258BB60234098B8AD53B 8EE2ADFC74F6BB04D4525EDBA025F5EB3AD3B3417271FA0FC55FB789E93E7585 88F37950F9BC82168F0FA9776625CB81CB698B5F6F3E0162DE0A2A05AD702493 D754C7DD1202AF9D0F243B10FACEC3EB827080871E67CF08219CA2AA073D0561 2775924DAFECDD08B21369A41B62F402F4BB99D0F2B42E6092A7ED538F1EEE28 26134A7A144D039F2BB9C360F099E093393F78F80D6B190BA9B868CB9AB4AC2C 953D3C264F3713EC69CD89E094FB82BD5ADDD16ACCABDAD8FDA500EDD43041C7 9443911317C9DD565D6561A88C8DF2CFC392BF3A84672F38EF3D7092090F79F0 C55CDC64C402F71EE38AA55B9932700C0D126C08E77280DAAD8CB7BADBC65A8B BEA10BB3B3EE45C708602E2DA24BECA9D21010A0D5668C030C59862E20F19922 FA69E63BDF3A68121F4D129914D05E3504BFC8A0B795B0EC1467393013933135 E65FAA16FCE8018FC4D2DFC9F1F6C68FC22472D5B003C05F890B0C87A377003F FC9462BA8E8D 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: CMSY8 %!PS-AdobeFont-1.1: CMSY8 1.0 %%CreationDate: 1991 Aug 15 07:22:10 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMSY8) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.035 def /isFixedPitch false def end readonly def /FontName /CMSY8 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 0 /minus put readonly def /FontBBox{-30 -955 1185 779}readonly def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMBX12 %!PS-AdobeFont-1.1: CMBX12 1.0 %%CreationDate: 1991 Aug 20 16:34:54 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMBX12) readonly def /FamilyName (Computer Modern) readonly def /Weight (Bold) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMBX12 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 40 /parenleft put dup 41 /parenright put dup 45 /hyphen put dup 46 /period put dup 47 /slash put dup 49 /one put dup 50 /two put dup 51 /three put dup 52 /four put dup 53 /five put dup 54 /six put dup 55 /seven put dup 56 /eight put dup 57 /nine put dup 65 /A put dup 66 /B put dup 67 /C put dup 68 /D put dup 69 /E put dup 70 /F put dup 71 /G put dup 72 /H put dup 73 /I put dup 76 /L put dup 77 /M put dup 78 /N put dup 79 /O put dup 80 /P put dup 82 /R put dup 83 /S put dup 84 /T put dup 85 /U put dup 86 /V put dup 97 /a put dup 98 /b put dup 99 /c put dup 100 /d put dup 101 /e put dup 102 /f put dup 103 /g put dup 104 /h put dup 105 /i put dup 106 /j put dup 107 /k put dup 108 /l put dup 109 /m put dup 110 /n put dup 111 /o put dup 112 /p put dup 114 /r put dup 115 /s put dup 116 /t put dup 117 /u put dup 119 /w put dup 120 /x put dup 121 /y put dup 122 /z put readonly def /FontBBox{-53 -251 1139 750}readonly def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMMI6 %!PS-AdobeFont-1.1: CMMI6 1.100 %%CreationDate: 1996 Jul 23 07:53:52 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.100) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMMI6) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.04 def /isFixedPitch false def end readonly def /FontName /CMMI6 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 106 /j put readonly def /FontBBox{11 -250 1241 750}readonly def currentdict end currentfile eexec D9D66F633B846A97B686A97E45A3D0AA0529731C99A784CCBE85B4993B2EEBDE 3B12D472B7CF54651EF21185116A69AB1096ED4BAD2F646635E019B6417CC77B 532F85D811C70D1429A19A5307EF63EB5C5E02C89FC6C20F6D9D89E7D91FE470 B72BEFDA23F5DF76BE05AF4CE93137A219ED8A04A9D7D6FDF37E6B7FCDE0D90B 986423E5960A5D9FBB4C956556E8DF90CBFAEC476FA36FD9A5C8175C9AF513FE D919C2DDD26BDC0D99398B9F4D03D6A8F05B47AF95EF28A9C561DBDC98C47CF5 5250011D19E9366EB6FD153D3A100CAA6212E3D5D93990737F8D326D347B7EDC 4391C9DF440285B8FC159D0E98D4258FC57892DDF0342CA1080743A076089583 6AD6FB2DC4C13F077F17789476E48402796E685107AF60A63FB0DE0266D55CF1 8D0AD65B9342CB686E564758C96164FFA711B11C1CE8C726F3C7BB1044BBD283 9AA4675747DF61E130A55E297CA5F0182A3F12F9085AF2F503481071724077A9 387E27879A9649AD5F186F33500FAC8F7FA26634BDCE1221EC0ED0E359E5EA5E 6166526FEB90C30D30099FBDC1BC2F9B62EFEEC48345160804AA98F8D0AA54B7 A480E715426651865C8E444EDB798C7E11040AF6E5A7ED1888653C6DBF5E6169 70BCD9C063B63B561EF165BF3AF11F8E519F37C6FDA2827685739DE2C48B5ADE EE84F067D704D4511DBFA49E166D543CFD9ECD7417055D8A827F51E087CD2927 BAFC7E6CFBD70B0FE969F890A11149D3D44D422C3370495DA9951AEE7253A49F 3A9444C8CD9158D84117299F7F2332FEB0F94E6ED8BC7AA789A3219BC2F227D3 3B5BC75FB53B55D72AF4A6A7BB613FA235B11BB37D059FD87127CEF73D5B3FBF 9F91ABAD78BD9240BD9525EBA78095EA0BDB25D1A19E876F292882EAD5619D46 D20317A345D931F4FF4EAE6216C27044CBA525E3B917CEA25A04C120466C4B93 FC720E6BA832A06CCA0A3916CEF0968D49085AEBD243C41A448289A6F05CE3F5 79148DC112A3CC7E8FF810B8C1A09E05F496C0F1EBA334E42E05C376C98F5F69 C06C71BFC0A2F3AC9951CFBB143C66FB84F9C4ED27DF70869352D61BD5E11508 0797B87C71AC58D7C35AB3247575482E538773F05A10428E53AFD148B1ABE851 1893F2447ED2625629F49CB4AA83193C0154458634536CF78B599CA0977C41E0 EEE3699386653D9C498F5DA82363911FDEDAC483FC0469BD264C4EABCC577D09 D4AE6C4E53A68D4C2237A906784137945C9ECC75D959EA04A1A64D29FF2B928D BA1AF9F608F0C6164C42FB991A60789D53D7E59F0BE84BD3A25A2CB22AA6052D A817A6E4A5389DC1FADAC7133FCFC9A595C8D4EDAA97CA50026958D6634EBA7E EBF427970E3D57A955CF40EB8DFAA93E7EF7FD958715D933C6EA7A60CBC15B6A E06937FA13DCC5BBC02C73C59F1ED7F62844EAC788F0942AF52D88222B3062F2 73865D2DC742DDF478B8A2B7B2A578E583CF1ED1E1C56C0F3C4F3C2A363BD631 A4C9B15BB936D475E8CFD1B650C90323C8A29FD6F2A76DAF972EABE391258917 53876AEAEED2CAAE226DB0F3B3A768C33034 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: CMTI10 %!PS-AdobeFont-1.1: CMTI10 1.00B %%CreationDate: 1992 Feb 19 19:56:16 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.00B) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMTI10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.04 def /isFixedPitch false def end readonly def /FontName /CMTI10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 12 /fi put dup 39 /quoteright put dup 40 /parenleft put dup 41 /parenright put dup 44 /comma put dup 45 /hyphen put dup 46 /period put dup 48 /zero put dup 49 /one put dup 50 /two put dup 51 /three put dup 58 /colon put dup 65 /A put dup 67 /C put dup 68 /D put dup 69 /E put dup 71 /G put dup 72 /H put dup 73 /I put dup 74 /J put dup 76 /L put dup 77 /M put dup 78 /N put dup 79 /O put dup 80 /P put dup 82 /R put dup 83 /S put dup 84 /T put dup 85 /U put dup 86 /V put dup 97 /a put dup 98 /b put dup 99 /c put dup 100 /d put dup 101 /e put dup 102 /f put dup 103 /g put dup 104 /h put dup 105 /i put dup 107 /k put dup 108 /l put dup 109 /m put dup 110 /n put dup 111 /o put dup 112 /p put dup 113 /q put dup 114 /r put dup 115 /s put dup 116 /t put dup 117 /u put dup 118 /v put dup 119 /w put dup 120 /x put dup 121 /y put dup 122 /z put dup 123 /endash put readonly def /FontBBox{-163 -250 1146 969}readonly def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMMI8 %!PS-AdobeFont-1.1: CMMI8 1.100 %%CreationDate: 1996 Jul 23 07:53:54 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.100) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMMI8) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.04 def /isFixedPitch false def end readonly def /FontName /CMMI8 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 84 /T put dup 100 /d put dup 105 /i put dup 106 /j put dup 107 /k put dup 110 /n put dup 114 /r put dup 115 /s put dup 116 /t put readonly def /FontBBox{-24 -250 1110 750}readonly def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMR8 %!PS-AdobeFont-1.1: CMR8 1.0 %%CreationDate: 1991 Aug 20 16:39:40 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMR8) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMR8 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 43 /plus put dup 49 /one put dup 50 /two put dup 51 /three put dup 55 /seven put readonly def /FontBBox{-36 -250 1070 750}readonly def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMSY10 %!PS-AdobeFont-1.1: CMSY10 1.0 %%CreationDate: 1991 Aug 15 07:20:57 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMSY10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.035 def /isFixedPitch false def end readonly def /FontName /CMSY10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 0 /minus put dup 2 /multiply put dup 20 /lessequal put dup 21 /greaterequal put dup 50 /element put dup 56 /universal put dup 57 /existential put dup 91 /union put dup 102 /braceleft put dup 103 /braceright put dup 106 /bar put dup 110 /backslash put readonly def /FontBBox{-29 -960 1116 775}readonly def currentdict end currentfile eexec D9D66F633B846A97B686A97E45A3D0AA052F09F9C8ADE9D907C058B87E9B6964 7D53359E51216774A4EAA1E2B58EC3176BD1184A633B951372B4198D4E8C5EF4 A213ACB58AA0A658908035BF2ED8531779838A960DFE2B27EA49C37156989C85 E21B3ABF72E39A89232CD9F4237FC80C9E64E8425AA3BEF7DED60B122A52922A 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cleartomark %%EndFont %%BeginFont: CMMI10 %!PS-AdobeFont-1.1: CMMI10 1.100 %%CreationDate: 1996 Jul 23 07:53:57 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.100) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMMI10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.04 def /isFixedPitch false def end readonly def /FontName /CMMI10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 58 /period put dup 59 /comma put dup 61 /slash put dup 62 /greater put dup 65 /A put dup 75 /K put dup 76 /L put dup 80 /P put dup 82 /R put dup 83 /S put dup 84 /T put dup 98 /b put dup 99 /c put dup 100 /d put dup 101 /e put dup 103 /g put dup 105 /i put dup 106 /j put dup 107 /k put dup 109 /m put dup 110 /n put dup 111 /o put dup 112 /p put dup 113 /q put dup 114 /r put dup 115 /s put dup 116 /t put dup 118 /v put dup 120 /x put dup 122 /z put readonly def /FontBBox{-32 -250 1048 750}readonly def currentdict end currentfile eexec D9D66F633B846A97B686A97E45A3D0AA0529731C99A784CCBE85B4993B2EEBDE 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All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.00B) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMTT10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch true def end readonly def /FontName /CMTT10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 35 /numbersign put dup 38 /ampersand put dup 40 /parenleft put dup 41 /parenright put dup 42 /asterisk put dup 44 /comma put dup 45 /hyphen put dup 46 /period put dup 47 /slash put dup 48 /zero put dup 49 /one put dup 50 /two put dup 51 /three put dup 52 /four put dup 53 /five put dup 55 /seven put dup 59 /semicolon put dup 61 /equal put dup 62 /greater put dup 65 /A put dup 66 /B put dup 67 /C put dup 68 /D put dup 69 /E put dup 70 /F put dup 71 /G put dup 72 /H put dup 73 /I put dup 76 /L put dup 77 /M put dup 78 /N put dup 79 /O put dup 80 /P put dup 82 /R put dup 83 /S put dup 84 /T put dup 85 /U put dup 86 /V put dup 87 /W put dup 90 /Z put dup 91 /bracketleft put dup 93 /bracketright put dup 95 /underscore put dup 97 /a put dup 98 /b put dup 99 /c put dup 100 /d put dup 101 /e put dup 102 /f put dup 103 /g put dup 104 /h put dup 105 /i put dup 106 /j put dup 107 /k put dup 108 /l put dup 109 /m put dup 110 /n put dup 111 /o put dup 112 /p put dup 113 /q put dup 114 /r put dup 115 /s put dup 116 /t put dup 117 /u put dup 118 /v put dup 119 /w put dup 120 /x put dup 121 /y put dup 122 /z put dup 123 /braceleft put dup 125 /braceright put readonly def /FontBBox{-4 -235 731 800}readonly def currentdict end currentfile eexec D9D66F633B846A97B686A97E45A3D0AA052A014267B7904EB3C0D3BD0B83D891 016CA6CA4B712ADEB258FAAB9A130EE605E61F77FC1B738ABC7C51CD46EF8171 9098D5FEE67660E69A7AB91B58F29A4D79E57022F783EB0FBBB6D4F4EC35014F D2DECBA99459A4C59DF0C6EBA150284454E707DC2100C15B76B4C19B84363758 469A6C558785B226332152109871A9883487DD7710949204DDCF837E6A8708B8 2BDBF16FBC7512FAA308A093FE5F00F963068B8232429ED8B7CF6A3D879A2D19 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cleartomark %%EndFont %%BeginFont: CMR10 %!PS-AdobeFont-1.1: CMR10 1.00B %%CreationDate: 1992 Feb 19 19:54:52 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.00B) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMR10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMR10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 11 /ff put dup 12 /fi put dup 13 /fl put dup 14 /ffi put dup 34 /quotedblright put dup 37 /percent put dup 39 /quoteright put dup 40 /parenleft put dup 41 /parenright put dup 42 /asterisk put dup 43 /plus put dup 44 /comma put dup 45 /hyphen put dup 46 /period put dup 47 /slash put dup 48 /zero put dup 49 /one put dup 50 /two put dup 51 /three put dup 52 /four put dup 53 /five put dup 54 /six put dup 55 /seven put dup 56 /eight put dup 57 /nine put dup 58 /colon put dup 59 /semicolon put dup 61 /equal put dup 63 /question put dup 65 /A put dup 66 /B put dup 67 /C put dup 68 /D put dup 69 /E put dup 70 /F put dup 71 /G put dup 72 /H put dup 73 /I put dup 74 /J put dup 75 /K put dup 76 /L put dup 77 /M put dup 78 /N put dup 79 /O put dup 80 /P put dup 81 /Q put dup 82 /R put dup 83 /S put dup 84 /T put dup 85 /U put dup 86 /V put dup 87 /W put dup 89 /Y put dup 90 /Z put dup 91 /bracketleft put dup 92 /quotedblleft put dup 93 /bracketright put dup 97 /a put dup 98 /b put dup 99 /c put dup 100 /d put dup 101 /e put dup 102 /f put dup 103 /g put dup 104 /h put dup 105 /i put dup 106 /j put dup 107 /k put dup 108 /l put dup 109 /m put dup 110 /n put dup 111 /o put dup 112 /p put dup 113 /q put dup 114 /r put dup 115 /s put dup 116 /t put dup 117 /u put dup 118 /v put dup 119 /w put dup 120 /x put dup 121 /y put dup 122 /z put dup 123 /endash put dup 126 /tilde put dup 127 /dieresis put readonly def /FontBBox{-251 -250 1009 969}readonly def currentdict end currentfile eexec D9D66F633B846A97B686A97E45A3D0AA052A014267B7904EB3C0D3BD0B83D891 016CA6CA4B712ADEB258FAAB9A130EE605E61F77FC1B738ABC7C51CD46EF8171 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0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: CMBX10 %!PS-AdobeFont-1.1: CMBX10 1.00B %%CreationDate: 1992 Feb 19 19:54:06 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.00B) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMBX10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Bold) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMBX10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 12 /fi put dup 40 /parenleft put dup 41 /parenright put dup 45 /hyphen put dup 46 /period put dup 48 /zero put dup 49 /one put dup 50 /two put dup 51 /three put dup 52 /four put dup 53 /five put dup 54 /six put dup 55 /seven put dup 56 /eight put dup 57 /nine put dup 65 /A put dup 66 /B put dup 67 /C put dup 68 /D put dup 69 /E put dup 70 /F put dup 71 /G put dup 72 /H put dup 73 /I put dup 76 /L put dup 77 /M put dup 78 /N put dup 79 /O put dup 80 /P put dup 83 /S put dup 84 /T put dup 85 /U put dup 86 /V put dup 97 /a put dup 98 /b put dup 99 /c put dup 100 /d put dup 101 /e put dup 102 /f put dup 103 /g put dup 104 /h put dup 105 /i put dup 106 /j put dup 108 /l put dup 109 /m put dup 110 /n put dup 111 /o put dup 112 /p put dup 113 /q put dup 114 /r put dup 115 /s put dup 116 /t put dup 117 /u put dup 118 /v put dup 120 /x put dup 121 /y put readonly def /FontBBox{-301 -250 1164 946}readonly def currentdict end currentfile eexec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0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: CMR12 %!PS-AdobeFont-1.1: CMR12 1.0 %%CreationDate: 1991 Aug 20 16:38:05 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMR12) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMR12 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 40 /parenleft put dup 41 /parenright put dup 44 /comma put dup 45 /hyphen put dup 46 /period put dup 48 /zero put dup 50 /two put dup 52 /four put dup 55 /seven put dup 56 /eight put dup 57 /nine put dup 67 /C put dup 69 /E put dup 70 /F put dup 72 /H put dup 73 /I put dup 75 /K put dup 79 /O put dup 82 /R put dup 83 /S put dup 84 /T put dup 90 /Z put dup 97 /a put dup 98 /b put dup 99 /c put dup 100 /d put dup 101 /e put dup 102 /f put dup 104 /h put dup 105 /i put dup 107 /k put dup 108 /l put dup 109 /m put dup 110 /n put dup 111 /o put dup 112 /p put dup 114 /r put dup 115 /s put dup 116 /t put dup 117 /u put dup 118 /v put dup 119 /w put dup 121 /y put dup 122 /z put readonly def /FontBBox{-34 -251 988 750}readonly def currentdict end currentfile eexec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y(data)j(t)n(yp)r(es)h(implemen)n (ted)g(in)g(the)g(cddlib)h(C-library)d(whic)n(h)h(is)h(to)f(p)r(erform) h(fundamen)n(tal)f(p)r(olyhedral)227 5433 y(computations)24 b(suc)n(h)h(as)f(represen)n(tation)f(con)n(v)n(ersions)f(and)i(linear)g (programming)e(in)j(b)r(oth)g(\015oating-p)r(oin)n(t)1926 5682 y Fo(1)p eop end %%Page: 2 2 TeXDict begin 2 1 bop 227 44 a Fl(and)38 b(GMP)f(rational)f(exact)h (arithmetic.)66 b(Please)37 b(read)f(the)i(accompan)n(ying)e(README)h (\014le)h(and)f(test)227 144 y(programs)26 b(to)h(complemen)n(t)h(the)g (man)n(ual.)352 243 y(The)37 b(new)h(functions)g(added)f(in)h(this)g(v) n(ersion)e(include)i Fk(dd)p 2295 243 27 4 v 30 w(MatrixCanonicaliz)o (e)31 b Fl(to)38 b(\014nd)g(a)f(non-)227 343 y(redundan)n(t)26 b(prop)r(er)g(H-)g(or)f(V-represen)n(tation,)g Fk(dd)p 1854 343 V 31 w(FindRelativeInt)o(eri)o(or)20 b Fl(to)26 b(\014nd)h(a)f(relativ)n(e)f(in)n(terior)227 443 y(p)r(oin)n(t)40 b(of)f(an)h(H-p)r(olyhedron,)h(and)e Fk(dd)p 1517 443 V 31 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b(de\014ned)f(b)m(y)h(Da)m(vid)h(Avis)f(and)f(the)h (author)g(in)f(1993,)k(and)c(has)h(b)s(een)f(up)s(dated)f(in)i(1997)i (and)d(1999.)47 b(The)1926 5682 y(2)p eop end %%Page: 3 3 TeXDict begin 3 2 bop 0 44 a Fo(program)40 b(called)i(lrs)e(and)f (lrslib)i([2])g(dev)m(elop)s(ed)f(b)m(y)h(Da)m(vid)g(Avis)g(is)f(a)h (C-implemen)m(tation)h(of)e(the)h(rev)m(erse)0 157 y(searc)m(h)d (algorithm)g([4])f(for)g(the)g(same)h(en)m(umeration)f(purp)s(ose,)g (and)g(it)g(conforms)g(to)h(P)m(olyhedra)f(format)g(as)0 270 y(w)m(ell.)k(Hop)s(efully)-8 b(,)30 b(this)g(compatibilit)m(y)h(of) f(the)f(t)m(w)m(o)i(programs)e(enables)h(users)e(to)i(use)g(b)s(oth)e (programs)h(for)g(the)0 383 y(same)35 b(input)e(\014les)h(and)g(to)h(c) m(ho)s(ose)h(whic)m(hev)m(er)e(is)h(useful)e(for)i(their)f(purp)s (oses.)51 b(F)-8 b(rom)35 b(our)e(exp)s(eriences)i(with)0 496 y(relativ)m(ely)40 b(large)f(problems,)h(the)e(t)m(w)m(o)h(metho)s (ds)f(are)g(b)s(oth)f(useful)h(and)f(p)s(erhaps)f(complemen)m(tary)k (to)e(eac)m(h)0 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Fn(dd)p 640 5028 V 34 w(NotAvailForV)p Fo(.)d(This)k(function)f(do)s(es)h(not)g(remo)m(v)m (e)h(redundancy)d(and)h(one)i(migh)m(t)f(w)m(an)m(t)h(to)227 5141 y(call)k(redundancy)d(remo)m(v)-5 b(al)31 b(functions)f(afterw)m (ards.)41 b(See)31 b(the)f(sample)h(co)s(de)f(pro)5 b(jection.c.)0 5320 y Fn(dd)p 102 5320 V 34 w(rowrange)45 b(dd)p 661 5320 V 34 w(RayShooting\(matrix,)e(point,)j(vector\))d Fo(:)227 5433 y(Finds)32 b(the)g(index)g(of)g(a)h(halfspace)f(\014rst)g (left)g(b)m(y)g(the)h(ra)m(y)f(starting)h(from)f Fn(point)f Fo(to)m(w)m(ard)i(the)f(direction)1903 5682 y(10)p eop end %%Page: 11 11 TeXDict begin 11 10 bop 227 44 a Fn(vector)p Fo(.)39 b(It)28 b(resolv)m(es)i(tie)f(b)m(y)f(a)h(lexicographic)h(p)s (erturbation.)39 b(Those)28 b(inequalities)i(violated)g(b)m(y)e Fn(point)227 157 y Fo(will)j(b)s(e)f(simply)g(ignored.)0 401 y Fd(4.3)112 b(Data)38 b(Manipulations)0 572 y Fp(4.3.1)105 b(Num)m(b)s(er)35 b(Assignmen)m(ts)0 744 y Fo(F)-8 b(or)31 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w(Equal\(x,)g(y\))f Fo(:)227 4662 y(Returns)30 b Fn(dd)p 675 4662 V 33 w(TRUE)g Fo(if)g Fn(x)g Fo(is)g(considered)g(equal)h(to)g Fn(y)p Fo(,)g(and)e Fn(dd)p 2354 4662 V 34 w(FALSE)g Fo(otherwise.)41 b(This)30 b(is)g(implemen)m(ted)227 4774 y(as)h(dd)p 446 4774 28 4 v 32 w(EqualT)-8 b(oZero\(z\))32 b(where)e Fn(z)g Fo(is)g(the)h(subtraction)f(of)h Fn(y)f Fo(from)g Fn(x)p Fo(.)0 5015 y Fp(4.3.5)105 b(P)m(olyhedra)36 b(Data)f (Manipulation)0 5186 y Fn(dd)p 102 5186 29 4 v 34 w(MatrixPtr)45 b(dd)p 709 5186 V 34 w(PolyFile2Matrix)f(\(f,)i(err\))f Fo(:)227 5299 y(Read)28 b(a)f(P)m(olyhedra)h(data)g(from)e(stream)i Fn(f)f Fo(and)f(store)i(it)g(in)f Fn(matrixdata)d Fo(and)j(return)f(a)h (p)s(oin)m(ter)g(to)h(the)227 5412 y(data.)1903 5682 y(12)p eop end %%Page: 13 13 TeXDict begin 13 12 bop 0 44 a Fn(dd)p 102 44 29 4 v 34 w(MatrixPtr)45 b(dd)p 709 44 V 34 w(CopyInequalities\(poly\))39 b Fo(:)227 157 y(Cop)m(y)26 b(the)f(inequalit)m(y)i(represen)m(tation)g 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b(the)f(adjacency)h (represen)m(tation)g(of)g(the)f(computed)g(represen)m(tation)i(p)s(oin) m(ted)e(b)m(y)g(p)s(oly)g(to)h Fn(setfamily)227 1397 y Fo(and)38 b(return)f Fn(dd)p 800 1397 V 34 w(SetFamilyPtr)p Fo(.)62 b(The)37 b(computed)i(represen)m(tation)g(is)g Fn(Inequality)c Fo(if)k(the)f(input)g(is)227 1510 y Fn(Generator)p Fo(,)28 b(and)i(the)h(vice)g(visa.)0 1698 y Fn(dd)p 102 1698 V 34 w(SetFamilyPtr)44 b(dd)p 852 1698 V 34 w (CopyInputIncidence\(poly\))39 b Fo(:)227 1811 y(Cop)m(y)30 b(the)g(incidence)h(represen)m(tation)g(of)f(the)g(input)f(represen)m (tation)h(p)s(oin)m(ted)g(b)m(y)g(p)s(oly)f(to)i Fn(setfamily)227 1924 y Fo(and)f(return)f Fn(d)p 736 1924 V 34 w(SetFamilyPtr)p Fo(.)0 2111 y Fn(dd)p 102 2111 V 34 w(SetFamilyPtr)44 b(dd)p 852 2111 V 34 w(CopyInputAdjacency\(poly\))39 b Fo(:)227 2224 y(Cop)m(y)28 b(the)g(adjacency)h(represen)m(tation)f (of)g(the)g(input)f(represen)m(tation)i(p)s(oin)m(ted)f(b)m(y)f(p)s (oly)h(to)g Fn(setfamily)227 2337 y Fo(and)i(return)f Fn(d)p 736 2337 V 34 w(SetFamilyPtr)p Fo(.)0 2525 y Fn(void)47 b(dd)p 341 2525 V 33 w(FreePolyhedra\(poly\))41 b Fo(:)227 2638 y(F)-8 b(ree)32 b(memory)e(allo)s(cated)i(to)f Fn(poly)p Fo(.)0 2878 y Fp(4.3.6)105 b(LP)36 b(Data)e(Manipulation)0 3050 y Fn(dd)p 102 3050 V 34 w(LPPtr)46 b(dd)p 518 3050 V 34 w(MakeLPforInteriorFinding)o(\(lp\))39 b Fo(:)227 3162 y(Set)29 b(up)f(an)g(LP)g(to)i(\014nd)d(an)h(in)m(terior)i(p)s (oin)m(t)e(of)h(the)g(feasible)g(region)g(of)g Fn(lp)f Fo(and)g(return)f(a)i(p)s(oin)m(ter)g(to)g(the)227 3275 y(LP)-8 b(.)36 b(The)f(new)g(LP)g(has)h(one)g(new)f(v)-5 b(ariable)36 b Fj(x)1867 3290 y Fg(d)p Fh(+1)2033 3275 y Fo(and)f(one)h(more)g(constrain)m(t:)52 b(max)15 b Fj(x)3329 3290 y Fg(d)p Fh(+1)3495 3275 y Fo(sub)5 b(ject)36 b(to)227 3388 y Fj(b)20 b Fi(\000)g Fj(Ax)h Fi(\000)f Fj(x)661 3403 y Fg(d)p Fh(+1)816 3388 y Fi(\025)25 b Fo(0)31 b(and)f Fj(x)1217 3403 y Fg(d)p Fh(+1)1373 3388 y Fi(\024)25 b Fj(K)7 b Fo(,)30 b(where)g Fj(K)37 b Fo(is)30 b(a)h(p)s(ositiv)m(e)g(constan)m(t.)0 3576 y Fn(dd)p 102 3576 V 34 w(LPPtr)46 b(dd)p 518 3576 V 34 w(Matrix2LP\(matrix,)d (err\))h Fo(:)227 3689 y(Load)31 b Fn(matrix)d Fo(to)k Fn(lpdata)c Fo(and)i(return)f(a)i(p)s(oin)m(ter)f(to)i(the)e(data.)0 3876 y Fn(dd)p 102 3876 V 34 w(LPSolutionPtr)44 b(dd)p 900 3876 V 34 w(CopyLPSolution\(lp\))c Fo(:)227 3989 y(Load)32 b(the)g(solutions)g(of)g Fn(lp)f Fo(to)i Fn(lpsolution)c Fo(and)i(return)g(a)h(p)s(oin)m(ter)g(to)g(the)g(data.)46 b(This)31 b(replaces)h(the)227 4102 y(old)f(name)f Fn(dd)p 723 4102 V 34 w(LPSolutionLoad\(lp\))p Fo(.)0 4290 y Fn(void)47 b(dd)p 341 4290 V 33 w(FreeLPData\(lp\))42 b Fo(:)227 4403 y(F)-8 b(ree)32 b(memory)e(allo)s(cated)i(as)f(an)f(LP) g(data)h(p)s(oin)m(ted)g(b)m(y)f Fn(lp)p Fo(.)0 4590 y Fn(void)47 b(dd)p 341 4590 V 33 w(FreeLPSolution\(lps\))41 b Fo(:)227 4703 y(F)-8 b(ree)32 b(memory)e(allo)s(cated)i(as)f(an)f(LP) g(solution)h(data)g(p)s(oin)m(ted)g(b)m(y)f Fn(lps)p Fo(.)0 4943 y Fp(4.3.7)105 b(Matrix)35 b(Manipulation)0 5115 y Fn(dd)p 102 5115 V 34 w(MatrixPtr)45 b(dd)p 709 5115 V 34 w(CopyMatrix\(matrix\))40 b Fo(:)227 5228 y(Mak)m(e)32 b(a)f(cop)m(y)g(of)g(matrixdata)g(p)s(oin)m(ted)f(b)m(y)h Fn(matrix)d Fo(and)i(return)f(a)i(p)s(oin)m(ter)g(to)g(the)f(cop)m(y)-8 b(.)1903 5682 y(13)p eop end %%Page: 14 14 TeXDict begin 14 13 bop 0 44 a Fn(dd)p 102 44 29 4 v 34 w(MatrixPtr)45 b(dd)p 709 44 V 34 w(AppendMatrix\(matrix1,)d (matrix2\))h Fo(:)227 157 y(Mak)m(e)32 b(a)e(matrixdata)h(b)m(y)e(cop)m (ying)i Fn(*matrix1)c Fo(and)i(app)s(ending)g(the)h(matrix)g(in)f Fn(*matrix2)f Fo(and)h(return)227 270 y(a)39 b(p)s(oin)m(ter)g(to)h (the)f(data.)67 b(The)38 b(colsize)j(m)m(ust)d(b)s(e)h(equal)g(in)g (the)g(t)m(w)m(o)h(input)e(matrices.)67 b(It)39 b(returns)e(a)227 383 y Fn(NULL)j Fo(p)s(oin)m(ter)g(if)h(the)g(input)e(matrices)j(are)f (not)g(appropriate.)71 b(Its)41 b Fn(rowsize)e Fo(is)h(set)i(to)f(the)g (sum)e(of)227 496 y(the)k(ro)m(wsizes)h(of)e Fn(matrix1)f Fo(and)h Fn(matrix2)p Fo(.)75 b(The)42 b(new)g(matrixdata)i(inherits)e (ev)m(erything)i(else)f(\(i.e.)227 609 y(n)m(um)m(b)s(ert)m(yp)s(e,)30 b(represen)m(tation,)i(etc\))f(from)f(the)h(\014rst)e(matrix.)0 794 y Fn(int)47 b(dd)p 293 794 V 34 w(MatrixAppendTo\(&)c(matrix1,)j (matrix2\))d Fo(:)227 907 y(Same)31 b(as)f Fn(dd)p 683 907 V 34 w(AppendMatrix)d Fo(except)32 b(that)e(the)h(\014rst)f(matrix) g(is)h(mo)s(di\014ed)e(to)i(tak)m(e)h(the)f(result.)0 1092 y Fn(int)47 b(dd)p 293 1092 V 34 w(MatrixRowRemove\(&)c(matrix,)j (i\))f Fo(:)227 1205 y(Remo)m(v)m(e)32 b(the)f Fj(i)p Fo(th)f(ro)m(w)h(of)g Fn(matrix)p Fo(.)0 1391 y Fn(dd)p 102 1391 V 34 w(MatrixPtr)45 b(dd)p 709 1391 V 34 w (MatrixSubmatrix\(matrix,)c(set\))k Fo(:)227 1504 y(Generate)36 b(the)f(submatrix)f(of)h Fn(matrix)e Fo(b)m(y)i(remo)m(ving)h(the)f(ro) m(ws)f(indexed)h(b)m(y)f Fn(set)g Fo(and)g(return)g(a)h(ma-)227 1617 y(trixdata)d(p)s(oin)m(ter.)0 1802 y Fn(dd)p 102 1802 V 34 w(SetFamilyPtr)44 b(dd)p 852 1802 V 34 w (Matrix2Adjacency\(matrix,)d(err\))k Fo(:)227 1915 y(Return)25 b(the)i(adjacency)f(list)h(of)f(the)g(represen)m(tation)h(giv)m(en)g(b) m(y)f Fn(matrix)p Fo(.)38 b(The)25 b(computation)i(is)f(done)g(b)m(y) 227 2028 y(the)h(built-in)g(LP)f(solv)m(er.)41 b(The)26 b(represen)m(tation)i(should)e(b)s(e)g(free)h(of)g(redundancy)e(when)g (this)i(function)g(is)227 2141 y(called.)40 b(See)22 b(the)h(function)f Fn(dd)p 1270 2141 V 33 w(rowset)47 b(dd)p 1734 2141 V 33 w(RedundantRows)19 b Fo(and)j(the)g(example)h (program)f(adjacency)-8 b(.c.)0 2383 y Fd(4.4)112 b(Input/Output)38 b(F)-9 b(unctions)0 2555 y Fn(dd)p 102 2555 V 34 w(MatrixPtr)45 b(dd)p 709 2555 V 34 w(PolyFile2Matrix)f(\(f,)i(err\))f Fo(:)227 2668 y(Read)28 b(a)f(P)m(olyhedra)h(data)g(from)e(stream)i Fn(f)f Fo(and)f(store)i(it)g(in)f Fn(matrixdata)d Fo(and)j(return)f(a)h (p)s(oin)m(ter)g(to)h(the)227 2780 y(data.)0 2966 y Fn(boolean)46 b(dd)p 484 2966 V 34 w(DDFile2File\(ifile,)c(ofile,)47 b(err\))d Fo(:)227 3079 y(Compute)33 b(the)g(represen)m(tation)h(con)m (v)m(ersion)g(for)e(a)i(p)s(olyhedron)d(giv)m(en)j(b)m(y)f(a)g(P)m (olyhedra)g(\014le)g(i\014le,)h(and)227 3192 y(write)d(the)g(other)f (represen)m(tation)i(in)e(a)h(P)m(olyhedra)g(\014le)f(o\014le.)42 b Fn(*err)29 b Fo(returns)g Fn(dd)p 3073 3192 V 34 w(NoError)g Fo(if)h(the)h(com-)227 3305 y(putation)g(terminates)g(normally)-8 b(.)42 b(Otherwise,)30 b(it)h(returns)e(a)i(v)-5 b(alue)31 b(according)g(to)g(the)g(error)f(o)s(ccured.)0 3490 y Fn(void)47 b(dd)p 341 3490 V 33 w(WriteMatrix\(f,)d(matrix\))g Fo(:)227 3603 y(W)-8 b(rite)32 b Fn(matrix)d Fo(to)i(stream)g Fn(f)p Fo(.)0 3788 y Fn(void)47 b(dd)p 341 3788 V 33 w(WriteNumber\(f,)d(x\))h Fo(:)227 3901 y(W)-8 b(rite)27 b Fn(x)e Fo(to)h(stream)f Fn(f)p Fo(.)39 b(If)25 b Fn(x)f Fo(is)i(of)f(GMP)h(mp)s(q)p 1827 3901 28 4 v 31 w(t)g(rational)g Fj(p=q)s Fo(,)h(the)e(output)g(is)g Fj(p=q)s Fo(.)39 b(If)25 b(it)g(is)h(of)f(C)g(double,)227 4014 y(it)31 b(is)g(formated)f(as)h(a)g(double)f(\015oat)h(with)f(a)g(decimal)i(p)s (oin)m(t.)0 4200 y Fn(void)47 b(dd)p 341 4200 29 4 v 33 w(WritePolyFile\(f,)d(poly\))g Fo(:)227 4312 y(W)-8 b(rite)32 b(tt)f(p)s(oly)f(to)h(stream)g Fn(f)f Fo(in)g(P)m(olyhedra)h (format.)0 4498 y Fn(void)47 b(dd)p 341 4498 V 33 w (WriteErrorMessages\(f,)42 b(err\))j Fo(:)227 4611 y(W)-8 b(rite)32 b(error)e(messages)h(giv)m(en)h(b)m(y)e Fn(err)g Fo(to)h(stream)f Fn(f)p Fo(.)0 4796 y Fn(void)47 b(dd)p 341 4796 V 33 w(WriteSetFamily\(f,)d(setfam\))f Fo(:)227 4909 y(W)-8 b(rite)37 b(the)e(set)h(family)g(p)s(oin)m(ted)f(b)m(y)g Fn(setfam)e Fo(to)j(stream)g Fn(f)p Fo(.)55 b(F)-8 b(or)35 b(eac)m(h)i(set,)g(it)f(outputs)e(its)i(index,)g(its)227 5022 y(cardinalit)m(y)-8 b(,)33 b(a)e(colon)g(\\:")41 b(and)30 b(a)h(ordered)f(list)h(of)f(its)h(elemen)m(ts.)0 5207 y Fn(void)47 b(dd)p 341 5207 V 33 w(WriteSetFamilyCompressed\(f)o (,)42 b(setfam\))h Fo(:)227 5320 y(W)-8 b(rite)37 b(the)e(set)h(family) g(p)s(oin)m(ted)f(b)m(y)g Fn(setfam)e Fo(to)j(stream)g Fn(f)p Fo(.)55 b(F)-8 b(or)35 b(eac)m(h)i(set,)g(it)f(outputs)e(its)i (index,)g(its)227 5433 y(cardinalit)m(y)g(or)e(the)g(negativ)m(e)j(of)d (the)g(cardinalit)m(y)-8 b(,)38 b(a)c(colon)h(\\:")50 b(and)33 b(the)i(elemen)m(ts)g(in)f(the)g(set)h(or)f(its)1903 5682 y(14)p eop end %%Page: 15 15 TeXDict begin 15 14 bop 227 44 a Fo(complemen)m(ts)40 b(whic)m(hev)m(er)g(is)f(smaller.)67 b(Whenev)m(er)40 b(it)g(outputs)e(the)h(complemen)m(ts,)k(the)c(cardinalit)m(y)227 157 y(is)i(negated)h(so)g(that)g(there)f(is)g(no)g(am)m(biguit)m(y)-8 b(.)75 b(This)40 b(will)h(b)s(e)g(considered)g(standard)f(for)h (outputing)227 270 y(incidence)32 b(\(*.icd,)i(*ecd\))e(and)f (adjacency)h(\(*.iad,)i(*.ead\))e(data)h(in)e(cddlib.)43 b(But)32 b(there)g(is)f(some)h(minor)227 383 y(incompatibilit)m(y)h (with)d(cdd/cdd+)f(standalone)i(co)s(des.)0 571 y Fn(void)47 b(dd)p 341 571 29 4 v 33 w(WriteProgramDescription\(f\))39 b Fo(:)227 683 y(W)-8 b(rite)32 b(the)f(cddlib)e(v)m(ersion)i (information)g(to)g(stream)g Fn(f)p Fo(.)0 871 y Fn(void)47 b(dd)p 341 871 V 33 w(WriteDDTimes\(f,)d(poly\))g Fo(:)227 984 y(W)-8 b(rite)32 b(the)f(represen)m(tation)g(con)m(v)m(ersion)h (time)f(information)f(on)h Fn(poly)e Fo(to)i(stream)g Fn(f)p Fo(.)0 1227 y Fd(4.5)112 b(Obsolete)38 b(F)-9 b(unctions)0 1399 y Fn(boolean)46 b(dd)p 484 1399 V 34 w(DoubleDescription\(poly,)41 b(err\))j Fo(:)d(\(remo)m(v)m(ed)32 b(in)e(V)-8 b(ersion)31 b(0.90c\))227 1512 y(The)e(new)f(function)g Fn(dd)p 1054 1512 V 34 w(DDMatrix2Poly\(matrix,)42 b(err\))28 b Fo(\(see)h(Section)h(4.2\))g(replaces)f(\(and)g(actually)227 1625 y(com)m(bines\))j(b)s(oth)d(this)h(and)g Fn(dd)p 1325 1625 V 34 w(Matrix2Poly\(matrix,)43 b(err\))p Fo(.)0 1812 y Fn(dd)p 102 1812 V 34 w(PolyhedraPtr)h(dd)p 852 1812 V 34 w(Matrix2Poly\(matrix,)f(err\))h Fo(:)d(\(remo)m(v)m(ed)31 b(in)f(V)-8 b(ersion)31 b(0.90c\))227 1925 y(See)g(ab)s(o)m(v)m(e)g (for)g(the)f(reason)h(for)f(remo)m(v)-5 b(al.)0 2113 y Fn(dd)p 102 2113 V 34 w(LPSolutionPtr)44 b(dd)p 900 2113 V 34 w(LPSolutionLoad\(lp\))c 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b(allis,)36 b(Oregon,)f(Dec)g(1993.)54 b(Also)35 b(published)d(in)i (IRISA)g(tec)m(hnical)i(rep)s(ort)d(PI)h(785,)j(Rennes,)187 1698 y(F)-8 b(rance;)32 b(Dec,)f(1993.)1903 5682 y(19)p eop end %%Trailer userdict /end-hook known{end-hook}if %%EOF cddlib-094g/doc/cddlibman.tex000066400000000000000000001370451206770251100161770ustar00rootroot00000000000000% The name of this file: cddlibman.tex % written by by Komei Fukuda % created March 15, 1999 % modified February 7, 2008 % \documentclass[11pt]{article} \usepackage{html,amsmath,amssymb} \renewcommand{\baselinestretch}{1} \renewcommand{\arraystretch}{1} \setlength{\oddsidemargin}{0mm} \setlength{\textwidth}{165mm} \setlength{\topmargin}{-15mm} \setlength{\textheight}{232mm} %\setlength{\headsep}{0in} %\setlength{\headheight}{0pt} \pagestyle{plain} \newcommand {\0} {{\bf 0}} \newcommand{\R}{{\Bbb R}} \begin{document} \title{cddlib Reference Manual} \author{Komei Fukuda\\ Institute for Operations Research\\ and Institute of Theoretical Computer Science\\ ETH Zentrum, CH-8092 Zurich, Switzerland\\ } \date{ (cddlib ver. 0.94, manual ver. February 7, 2008)} \maketitle \tableofcontents \begin{abstract} This is a reference manual for cddlib-094. The manual describes the library functions and data types implemented in the cddlib C-library which is to perform fundamental polyhedral computations such as representation conversions and linear programming in both floating-point and GMP rational exact arithmetic. Please read the accompanying README file and test programs to complement the manual. The new functions added in this version include {\tt dd\_MatrixCanonicalize} to find a non-redundant proper H- or V-representation, {\tt dd\_FindRelativeInterior} to find a relative interior point of an H-polyhedron, and {\tt dd\_ExistsRestrictedFace} (Farkas-type alternative theorem verifier) to check the existence of a point satisfying a specified system of linear inequalities possibly including multiple strict inequalities. The new functions are particularly important for the development of related software packages MinkSum (by Ch. Weibel) and Gfan (by Anders Jensen), \end{abstract} \section{Introduction} \label{INTRODUCTION} The program cddlib is an efficient implementation \cite{fp-ddmr-96} of the double description Method~\cite{mrtt-ddm-53} for generating all vertices (i.e. extreme points) and extreme rays of a general convex polyhedron given by a system of linear inequalities: \[ P = \{ x=(x_1, x_2, \ldots, x_d)^T \in R^{d}: b - A x \ge 0 \} \] where $A$ is a given $m \times d$ real matrix and $b$ is a given real $m$-vector. In the mathematical language, the computation is the transformation of an {\em H-representation\/} of a convex polytope to an {\em V-representation}. cddlib is a C-library version of the previously released C-code cdd/cdd+. In order to make this library version, a large part of the cdd source (Version 0.61) has been rewritten. This library version is more flexible since it can be called from other programs in C/C++. Unlike cdd/cdd+, cddlib can handle any general input and is more general. Furtthermore, additional functions have been written to extend its functionality. One useful feature of cddlib/cdd/cdd+ is its capability of handling the dual (reverse) problem without any transformation of data. The dual transformation problem of a V-representation to a minimal H-representation and is often called the {\em (convex) hull problem\/}. More explicitly, is to obtain a linear inequality representation of a convex polyhedron given as the Minkowski sum of the convex hull of a finite set of points and the nonnegative hull of a finite set of points in $R^{d}$: \[ P = conv(v_1,\ldots,v_n) + nonneg(r_{n+1},\ldots,r_{n+s}), \] where the {\em Minkowski sum of two subsets $S$ and $T$} of $R^{d}$ is defined as \[ S + T = \{ s + t \; | s \in S \mbox{ and } t \in T \}. \] As we see in this manual, the computation can be done in straightforward manner. Unlike the earlier versions of cdd/cdd+ that assume certain regularity conditions for input, cddlib is designed to do a correct transformation for any general input. The user must be aware of the fact that in certain cases the transformation is not unique and there are polyhedra with infinitely many representations. For example, a line segment (1-dimensional polytope) in $R^3$ has infinitely many minimal H-representations, and a halfspace in the same space has infinitely many minimal V-representations. cddlib generates merely one minimal representation. cddlib comes with an LP code to solve the general linear programming (LP) problem to maximize (or minimize) a linear function over polyhedron $P$. It is useful mainly for solving dense LP's with large $m$ (say, up to few hundred thousands) and small $d$ (say, up to 100). It implements a revised dual simplex method that updates $(d+1)\times (d+1)$ matrix for a pivot operation. The program cddlib has an I/O routines that read and write files in {\em Polyhedra format\/} which was defined by David Avis and the author in 1993, and has been updated in 1997 and 1999. The program called lrs and lrslib \cite{a-lrshome-01} developed by David Avis is a C-implementation of the reverse search algorithm~\cite{af-pachv-92} for the same enumeration purpose, and it conforms to Polyhedra format as well. Hopefully, this compatibility of the two programs enables users to use both programs for the same input files and to choose whichever is useful for their purposes. From our experiences with relatively large problems, the two methods are both useful and perhaps complementary to each other. In general, the program cddlib tends to be efficient for highly degenerate inputs and the program rs tends to be efficient for nondegenerate or slightly degenerate problems. Although the program can be used for nondegenerate inputs, it might not be very efficient. For nondegenerate inputs, other available programs, such as the reverse search code lrs or qhull (developed by the Geometry Center), might be more efficient. See Section~\ref{CODES} for pointers to these codes. The paper \cite{abs-hgach-97} contains many interesting results on polyhedral computation and experimental results on cdd+, lrs, qhull and porta. This program can be distributed freely under the GNU GENERAL PUBLIC LICENSE. Please read the file COPYING carefully before using. I will not take any responsibility of any problems you might have with this program. But I will be glad to receive bug reports or suggestions at the e-mail addresses above. If cddlib turns out to be useful, please kindly inform me of what purposes cdd has been used for. I will be happy to include a list of applications in future distribution if I receive enough replies. The most powerful support for free software development is user's appreciation and collaboration. \section{Polyhedra H- and V-Formats (Version 1999)} \label{FORMAT} \bigskip Every convex polyhedron has two representations, one as the intersection of finite halfspaces and the other as Minkowski sum of the convex hull of finite points and the nonnegative hull of finite directions. These are called H-representation and V-representation, respectively. Naturally there are two basic Polyhedra formats, H-format for H-representation and V-format for V-representation. These two formats are designed to be almost indistinguishable, and in fact, one can almost pretend one for the other. There is some asymmetry arising from the asymmetry of two representations. First we start with the H-representation. Let $A$ be an $m \times d$ matrix, and let $b$ be a column $m$-vector. The Polyhedra format ({\em H-format} ) of the system $\; b - A x \ge \0\;$ of $m$ inequalities in $d$ variables $x =(x_1, x_2, \ldots, x_d)^T$ is \begin{tabular}{ccl} \\ \hline \multicolumn{3}{l} {various comments}\\ \multicolumn{3}{l} {{\bf H-representation}}\\ \multicolumn{3}{l} {{\bf (linearity $t\;$ $i_1\;$ $i_2\;$ $\ldots$ $\;i_t$)}}\\ \multicolumn{3}{l} {{\bf begin}}\\ $m$ & $d+1$ & numbertype\\ $b$ & $-A$ \\ \multicolumn{3}{l} {{\bf end}}\\ \multicolumn{3}{l} {various options} \\ \hline \end{tabular} \bigskip \noindent where numbertype can be one of integer, rational or real. When rational type is selected, each component of $b$ and $A$ can be specified by the usual integer expression or by the rational expression ``$p / q$'' or ``$-p / q$'' where $p$ and $q$ are arbitrary long positive integers (see the example input file rational.ine). In the 1997 format, we introduced ``H-representation'' which must appear before ``begin''. There was one restriction in the old polyhedra format (before 1997): the last $d$ rows must determine a vertex of $P$. This is obsolete now. In the new 1999 format, we added the possibility of specifying {\bf linearity\/}. This means that for H-representation, some of the input rows can be specified as {\bf equalities}: $b_{i_j} - A_{i_j} x = 0 \;$ for all $j=1,2, \ldots, t$. The linearity line may be omitted if there are no equalities. Option lines can be used to control computation of a specific program. In particular both cdd and lrs use the option lines to represent a linear objective function. See the attached LP files, samplelp*.ine. \bigskip Next we define Polyhedra {\em V-format}. Let $P$ be represented by $n$ gerating points and $s$ generating directions (rays) as $P = conv(v_1,\ldots,v_n) + nonneg(r_{n+1},\ldots,r_{n+s})$. Then the Polyhedra V-format for $P$ is \begin{tabular}{cll} \\ \hline \multicolumn{3}{l} {various comments}\\ \multicolumn{3}{l} {{\bf V-representation}}\\ \multicolumn{3}{l} {({\bf linearity $t\;$ $i_1\;$ $i_2\;$ $\ldots$ $\;i_t$ })}\\ \multicolumn{3}{l} {{\bf begin}}\\ $n+s$ & $d+1$ & numbertype\\ $1$ & $v_1$ & \\ $\vdots$ & $\vdots$ & \\ $1$ & $v_n$ & \\ $0$ & $r_{n+1}$ & \\ $\vdots$ & $\vdots$ & \\ $0$ & $r_{n+s}$ & \\ \multicolumn{3}{l} {{\bf end}}\\ \multicolumn{3}{l} {various options} \\ \hline \end{tabular} \bigskip \noindent Here we do not require that vertices and rays are listed separately; they can appear mixed in arbitrary order. Linearity for V-representation specifies a subset of generators whose coefficients are relaxed to be {\bf free}: for all $j=1,2, \ldots, t$, the $k=i_j$th generator ($v_{k}$ or $r_k$ whichever is the $i_j$th generator) is a free generator. This means for each such a ray $r_k$, the line generated by $r_k$ is in the polyhedron, and for each such a vertex $v_k$, its coefficient is no longer nonnegative but still the coefficients for all $v_i$'s must sum up to one. It is highly unlikely that one needs to use linearity for vertex generators, and it is defined mostly for formality. When the representation statement, either ``H-representation'' or ``V-representation'', is omitted, the former ``H-representation'' is assumed. It is strongly suggested to use the following rule for naming H-format files and V-format files: \begin{description} \item[(a)] use the filename extension ``.ine'' for H-files (where ine stands for inequalities), and \item[(b)] use the filename extension ``.ext'' for V-files (where ext stands for extreme points/rays). \end{description} \section{Basic Object Types (Structures) in cddlib} \label{DATASTR} Here are the types (defined in cddtypes.h) that are important for the cddlib user. The most important one, {\tt dd\_MatrixType}, is to store a Polyhedra data in a straightforward manner. Once the user sets up a (pointer to) {\tt dd\_MatrixType} data, he/she can load the data to an internal data type ({\tt dd\_PolyhedraType}) by using functions described in the next section, and apply the double descrition method to get another representation. As an option {\tt dd\_MatrixType} can save a linear objective function to be used by a linear programming solver. The two dimensional array data in the structure {\tt dd\_MatrixType} is {\tt dd\_Amatrix} whose components are of type {\tt mytype\/}. The type mytype is set to be either the rational type {\tt mpq\_t} of the GNU MP Library or the C double array of size $1$. This abstract type allows us to write a single program that can be compiled with the two or more different arithmetics, see example programs such as simplecdd.c, testlp*.c and testcdd*.c in the {\tt src} and {\tt src-gmp} subdirectories of the source distribution. There is another data type that is used very often, {\tt dd\_SetFamilyType}. This is to store a family of subsets of a finite set. Such a family can represent the incidence relations between the set of extreme points and the set of facets of a polyhedron. Also, it can represent a graph structure by listing the set of vertices adjacent to each vertex (i.e. the adjacency list). To implement {\tt dd\_SetFamilyType}, we use a separate set library called {\tt setoper}, that handles the basic set operations, This library is briefly introduced in Section~\ref{SetFunctions}. \begin{verbatim} #define dd_FALSE 0 #define dd_TRUE 1 typedef long dd_rowrange; typedef long dd_colrange; typedef long dd_bigrange; typedef set_type dd_rowset; /* set_type defined in setoper.h */ typedef set_type dd_colset; typedef long *dd_rowindex; typedef int *dd_rowflag; typedef long *dd_colindex; typedef mytype **dd_Amatrix; /* mytype is either GMP mpq_t or 1-dim double array. */ typedef mytype *dd_Arow; typedef set_type *dd_SetVector; typedef enum { dd_Real, dd_Rational, dd_Integer, dd_Unknown } dd_NumberType; typedef enum { dd_Inequality, dd_Generator, dd_Unspecified } dd_RepresentationType; typedef enum { dd_MaxIndex, dd_MinIndex, dd_MinCutoff, dd_MaxCutoff, dd_MixCutoff, dd_LexMin, dd_LexMax, dd_RandomRow } dd_RowOrderType; typedef enum { dd_InProgress, dd_AllFound, dd_RegionEmpty } dd_CompStatusType; typedef enum { dd_DimensionTooLarge, dd_ImproperInputFormat, dd_NegativeMatrixSize, dd_EmptyVrepresentation, dd_IFileNotFound, dd_OFileNotOpen, dd_NoLPObjective, dd_NoRealNumberSupport, dd_NoError } dd_ErrorType; typedef enum { dd_LPnone=0, dd_LPmax, dd_LPmin } dd_LPObjectiveType; typedef enum { dd_LPSundecided, dd_Optimal, dd_Inconsistent, dd_DualInconsistent, dd_StrucInconsistent, dd_StrucDualInconsistent, dd_Unbounded, dd_DualUnbounded } dd_LPStatusType; typedef struct matrixdata *dd_MatrixPtr; typedef struct matrixdata { dd_rowrange rowsize; dd_rowset linset; /* a subset of rows of linearity (ie, generators of linearity space for V-representation, and equations for H-representation. */ dd_colrange colsize; dd_RepresentationType representation; dd_NumberType numbtype; dd_Amatrix matrix; dd_LPObjectiveType objective; dd_Arow rowvec; } dd_MatrixType; typedef struct setfamily *dd_SetFamilyPtr; typedef struct setfamily { dd_bigrange famsize; dd_bigrange setsize; dd_SetVector set; } dd_SetFamilyType; typedef struct lpsolution *dd_LPSolutionPtr; typedef struct lpsolution { dd_DataFileType filename; dd_LPObjectiveType objective; dd_LPSolverType solver; dd_rowrange m; dd_colrange d; dd_NumberType numbtype; dd_LPStatusType LPS; /* the current solution status */ mytype optvalue; /* optimal value */ dd_Arow sol; /* primal solution */ dd_Arow dsol; /* dual solution */ dd_colindex nbindex; /* current basis represented by nonbasic indices */ dd_rowrange re; /* row index as a certificate in the case of inconsistency */ dd_colrange se; /* col index as a certificate in the case of dual inconsistency */ long pivots[5]; /* pivots[0]=setup (to find a basis), pivots[1]=PhaseI or Criss-Cross, pivots[2]=Phase II, pivots[3]=Anticycling, pivots[4]=GMP postopt */ long total_pivots; } dd_LPSolutionType; \end{verbatim} \section{Library Functions} \label{LIBRARY} Here we list some of the most important library functions/procedures. We use the following convention: {\tt poly} is of type {\tt dd\_PolyhedraPtr}, {\tt matrix}, {\tt matrix1} and {\tt matrix2} are of type {\tt dd\_MatrixPtr}, {\tt matrixP}, of type {\tt dd\_MatrixPtr*}, {\tt err} is of type {\tt dd\_ErrorType*}, {\tt ifile} and {\tt ofile} are of type {\tt char*}, {\tt A} is of type {\tt dd\_Amatrix}, {\tt point} and {\tt vector} are of type {\tt dd\_Arow}, {\tt d} is of type {\tt dd\_colrange}, {\tt m} and {\tt i} are of type {\tt dd\_rowrange}, {\tt x} is of type {\tt mytype}, {\tt a} is of type {\tt signed long integer}, {\tt b} is of type {\tt double}, {\tt set} is of type {\tt set\_type}. Also, {\tt setfam} is of type {\tt dd\_SetFamilyPtr}, {\tt lp} is of type {\tt dd\_LPPtr}, {\tt lps} is of type {\tt dd\_LPSolutionPtr}, {\tt solver} is of type {\tt dd\_LPSolverType}, {\tt roworder} is of type {\tt dd\_RowOrderType}. \subsection{Library Initialization} \label{Initialization} \begin{description} \item[{\tt void dd\_set\_global\_constants(void)}]:\\ This is to set the global constants such as {\tt dd\_zero}, {\tt dd\_purezero} and {\tt dd\_one} for sign recognition and basic arithmetic operations. {Every program to use cddlib must call this function} before doing any computation. Just call this once. See Section \ref{constants} for the definitions of constants. \item[{\tt void dd\_free\_global\_constants(void)}]:\\ This is to free the global constants. This should be called when one does not use cddlib functions anymore. \end{description} \subsection{Core Functions} \label{CoreLibrary} There are two types of core functions in cddlib. The first type runs the double description (DD) algorithm and does a representation conversion of a specified polyhedron. The standard header for this type is {\tt dd\_DD*}. The second type solves one or more linear programs with no special headers. Both types of computations are nontrivial and the users (especially for the DD algorithm) must know that there is a serous limit in the sizes of problems that can be practically solved. Please check *.ext and *.ine files that come with cddlib to get ideas of tractable problems. In addition to previously defined objects, the symbol {\tt roworder} is of {\tt dd\_RowOrderType}. The symbol {\tt matrixP} is a pointer to {\bf dd\_MatrixType}. the arguments {\tt impl\_lin} and {\tt redset} are both a pointer to {\tt dd\_rowset} type, and {\tt newpos} is a pointer to {\tt dd\_rowindex} type. \begin{description} \item[{\tt dd\_PolyhedraPtr dd\_DDMatrix2Poly(matrix, err)}]:\\ Store the representation given by {\tt matrix} in a polyhedra data, and generate the second representation of {\tt *poly}. It returns a pointer to the data. {\tt *err} returns {\tt dd\_NoError} if the computation terminates normally. Otherwise, it returns a value according to the error occured. \item[{\tt dd\_PolyhedraPtr dd\_DDMatrix2Poly2(matrix, roworder, err)}]:\\ This is the same function as {\tt dd\_DDMatrix2Poly} except that the insertion order is specified by the user. The argument {\tt roworder} is of {\tt dd\_RowOrderType} and takes one of the values: {\tt dd\_MaxIndex}, {\tt dd\_MinIndex}, {\tt dd\_MinCutoff}, {\tt dd\_MaxCutoff}, {\tt dd\_MixCutoff}, {\tt dd\_LexMin}, {\tt dd\_LexMax}, {\tt dd\_RandomRow}. In general, {\tt dd\_LexMin} is the best choice which is in fact chosen in {\tt dd\_DDMatrix2Poly}. If you know that the input is already sorted in the order you like, use {\tt dd\_MinIndex} or {\tt dd\_MaxIndex}. If the input contains many redundant rows (say more than $80\%$ redundant), you might want to try {\tt dd\_MaxCutoff} which might result in much faster termination, see \cite{abs-hgach-97,fp-ddmr-96} \item[{\tt boolean dd\_DDInputAppend(poly, matrix, err)}]:\\ Modify the input representation in {\tt *poly} by appending the matrix of {\tt *matrix}, and compute the second representation. The number of columns in {\tt *matrix} must be equal to the input representation. \item[{\tt boolean dd\_LPSolve(lp, solver, err)}]:\\ Solve {\tt lp} by the algorithm {\tt solver} and save the solututions in {\tt *lp}. Unlike the earlier versions (dplex, cdd+), it can deal with equations and totally zero right hand sides. It is recommended that {\tt solver} is {\tt dd\_DualSimplex}, the revised dual simplex method that updates a $d\times d$ dual basis matrix in each pivot (where $d$ is the column size of lp). The revised dual simplex method is ideal for dense LPs in small number of variables (i.e. small column size, typically less than $100$) and many inequality constraints (i.e. large row size, can be a few ten thousands). If your LP has many variables but only few constraints, solve the dual LP by this function. When it is compiled for GMP rational arithmetic, it first tries to solve an LP with C double floating-point arithmetic and verifies whether the output basis is correct with GMP. If so, the correct solution is computed with GMP. Otherwise, it (re)solves the LP from scratch with GMP. This is newly implemented in the version 093. The original (non-crossover) version of the same function is still available as {\tt boolean dd\_LPSolve0}. \item[{\tt dd\_boolean dd\_Redundant(matrix, i, point, err)}]:\\ Check whether $i$th data in {\tt matrix} is redundant for the representation. If it is nonredundant, it returns a certificate. For H-representation, it is a {\tt point} in $R^d$ which satisfies all inequalities except for the $i$th inequality. If $i$ is a linearity, it does nothing and always returns {\tt dd\_FALSE}. \item[{\tt dd\_rowset dd\_RedundantRows(matrix, err)}]:\\ Returns a maximal set of row indices such that the associated rows can be eliminated without changing the polyhedron. The function works for both V- and H-representations. \item[{\tt dd\_boolean dd\_SRedundant(matrix, i, point, err)}]:\\ Check whether $i$th data in {\tt matrix} is strongly redundant for the representation. If $i$ is a linearity, it does nothing and always returns {\tt dd\_FALSE}. Here, $i$th inequality in H-representation is {\em strongly redundant\/} if it is redundant and there is no point in the polyhedron satisfying the inequality with equality. In V-representation, $i$th point is {\em strongly redundant\/} if it is redundant and it is in the relative interior of the polyhedron. If it is not strongly redundant, it returns a certificate. \item[{\tt dd\_boolean dd\_ImplicitLinearity(matrix, i, err)}]:\\ Check whether $i$th row in the input is forced to be linearity (equality for H-representation). If $i$ is linearity itself, it does nothing and always returns {\tt dd\_FALSE}. \item[{\tt dd\_rowset dd\_ImplicitLinearityRows(matrix, err)}]:\\ Returns the set of indices of rows that are implicitly linearity. It simply calls the library function {\tt dd\_ImplicitLinearity} for each inequality and collects the row indices for which the answer is {\tt dd\_TRUE}. \item[{\tt dd\_boolean dd\_MatrixCanonicalize(matrixP, impl\_lin, redset, newpos, err)}]:\\ The input is a pointer {\tt matrixP} to a matrix and the function modifies the matrix by putting a maximally linear independent linearities (basis) at the top of the matrix, and removing all redundant data. All implicit linearities and all (removed) redundant rows in the original matrix will be returned in the corresponding row sets. The new positions of the original rows are returned by the array {\tt newpos}. The cardinality of the new linearity set {\tt (*matrixP)->linset} is the codimension of the polyhedron if it is H-polyhedron, and is the dimension of linearity space if it is V-polyhedron. Note that the present version should not be called a canonicalization because it may generate two different representations of the same polyhedron. In the future, this function is expected to be correctly implemented. \item[{\tt dd\_boolean dd\_MatrixCanonicalizeLinearity(matrixP, impl\_linset, newpos. err)}]:\\ It does only the first half of {\tt dd\_boolean dd\_MatrixCanonicalize}, namely, it detects all implicit linearities and puts a maximally independent linearities at the top of the matrix. For example, this function can be used to detect the dimension of an H-polyhedron. \item[{\tt dd\_boolean dd\_MatrixRedundancyRemove(matrixP, redset, newpos, err)}]:\\ It does essentially the second half of {\tt dd\_boolean dd\_MatrixCanonicalize}, namely, it detects all redundancies. This function should be used after {\tt dd\_MatrixCanonicalizeLinearity} has been called. \item[{\tt dd\_boolean dd\_FindRelativeInterior(matrix, impl\_lin, lin\_basis, lps, err)}]:\\ Computes a point in the relative interior of an H-polyhedron given by matrix, by solving an LP. The point will be returned by {\tt lps}. See the sample program allfaces.c that generates all nonempty faces of an H-polyhedron and a relative interior point for each face. The former returns all implicit linearity rows (implicit equations) and the latter returns a basis of the union of linearity rows and implicit linearity rows. This means that the cardinality of {\tt *lin\_basis} is the codimension of the polyhedron. \item[{\tt dd\_boolean dd\_ExistsRestrictedFace(matrix, R, S, err)}]:\\ Returns the answer to the Farkas' type decision problem as to whether there is a point in the polyhedron given by matrix satisfying all constraints in {\tt R} with equality and all constraints in {\tt S} with strict inequality. More precisely, it is the linear feasibility problem: \[ \begin{array}{llllll} \exists\mbox{?} &x &\mbox{ satisfying } & b_r - A_r x &= 0, \; \forall r \in R\cup L \\ & & & b_s - A_s x &> 0, \; \forall s \in S \\ & & & b_t - A_t x &\ge 0, \; \forall t \in T, \end{array} \] where $L$ is the set of linearity rows of {\tt matrix}, and $T$ represents the set of rows that are not in $R\cup L \cup S$. Both {\tt R} and {\tt S} are of {\tt dd\_rowset} type. The set $S$ is supposed to be disjoint from both $R$ and $L$. If it is not the case, the set $S$ will be considered as $S \setminus (R \cup L)$. This function ignores {\tt matrix->representation}, and thus even if it is set to {\tt dd\_Generator} or {\tt dd\_Unspecified}, it treats the matrix as if it were inequality representation. \item[{\tt dd\_boolean dd\_ExistsRestrictedFace2(matrix, R, S, lps, err)}]:\\ It is the same as the function {\tt dd\_ExistsRestrictedFace} except that it returns also a certificate for the answer. The certificate is a solution to the bounded LP: \[ \begin{array}{lllllll} \mbox{(P)} &\max z &\mbox{ subject to } & b_r - A_r x & & = 0, \; \forall r \in R\cup L \\ & & & b_s - A_s x &-z &\ge 0, \; \forall s \in S \\ & & & b_t - A_t x & &\ge 0, \; \forall t \in T \\ & & & 1 & -z&\ge 0, \end{array} \] where $L$ is the set of linearity rows of {\tt matrix}, and $T$ represents the set of rows that are not in $R\cup L \cup S$. The answer for the decision problem is YES if and only if the LP attains an optimal and the optimal value is positive. The dual solution (either an optimal solution or a dual unbounded direction) can be considered as a certificate for the NO answer, if the answer is NO. This function ignores {\tt matrix->representation}, and thus even if it is set to {\tt dd\_Generator} or {\tt dd\_Unspecified}, it treats the matrix as if it were inequality representation. \item[{\tt dd\_SetFamilyPtr dd\_Matrix2Adjacency(matrix, err)}]:\\ Computes the adjacency list of input rows using the LP solver and without running the representation conversion. When the input is H-representation, it gives the facet graph of the polyhedron. For V-representation, it gives the (vertex) graph of the polyhedron. It is required that the input matrix is a minimal representation. Run redundancy removal functions before calling this function, see the sample code adjacency.c. \item[{\tt dd\_SetFamilyPtr dd\_Matrix2WeakAdjacency(matrix, err)}]:\\ Computes the weak adjacency list of input rows using the LP solver and without running the representation conversion. When the input is H-representation, it gives the graph where its nodes are the facets two nodes are adjacent if and only if the associated facets have some intersection. For V-representation, it gives the graph where its nodes are the vertices and two nodes are adjacent if and only if the associated vertices are on a common facet. It is required that the input matrix is a minimal representation. Run redundancy removal functions before calling this function, see the sample code adjacency.c. \item[{\tt dd\_MatrixPtr dd\_FourierElimination(matrix, err)}]:\\ Eliminate the last variable from a system of linear inequalities given by matrix by using the Fourier's Elimination. If the input matrix is V-representation, {\tt *err} returns {\tt dd\_NotAvailForV}. This function does not remove redundancy and one might want to call redundancy removal functions afterwards. See the sample code fourier.c. \item[{\tt dd\_MatrixPtr dd\_BlockElimination(matrix, set, err)}]:\\ Eliminate a set of variables from a system of linear inequalities given by matrix by using the extreme rays of the dual linear system. See comments in the code cddproj.c for details. This might be a faster way to eliminate variables than the repeated FourierElimination when the number of variables to eliminate is large. If the input matrix is V-representation, {\tt *err} returns {\tt dd\_NotAvailForV}. This function does not remove redundancy and one might want to call redundancy removal functions afterwards. See the sample code projection.c. \item[{\tt dd\_rowrange dd\_RayShooting(matrix, point, vector)}]:\\ Finds the index of a halfspace first left by the ray starting from {\tt point} toward the direction {\tt vector}. It resolves tie by a lexicographic perturbation. Those inequalities violated by {\tt point} will be simply ignored. \end{description} \subsection{Data Manipulations} \label{DataLibrary} \subsubsection{Number Assignments} For number assignments, one cannot use such expressions as {\tt x=(mytype)a}. This is because cddlib uses an abstract number type ({\tt mytype}) so that it can compute with various number types such as C double and GMP rational. User can easily add a new number type by redefining arithmetic operations in cddmp.h and cddmp.c. \begin{description} \item[{\tt void dd\_init(x)}]:\\ This is to initialize a {\tt mytype} variable {\tt x} and to set it to zero. This initialization has to be called before any {\tt mytype} variable to be used. \item[{\tt void dd\_clear(x)}]:\\ This is to free the space allocated to a {\tt mytype} variable {\tt x}. \item[{\tt void dd\_set\_si(x, a)}]:\\ This is to set a {\tt mytype} variable {\tt x} to the value of signed long integer {\tt a}. \item[{\tt void dd\_set\_si2(x, a, b)}]:\\ This is to set a {\tt mytype} variable {\tt x} to the value of the rational expression {\tt a/b}, where {\tt a} is signed long and {\tt b} is unsigned long integers. \item[{\tt void dd\_set\_d(x, b)}]:\\ This is to set a {\tt mytype} variable {\tt x} to the value of double {\tt b}. This is available only when the library is compiled without {\tt -DGMPRATIONAL} compiler option. \end{description} \subsubsection{Arithmetic Operations for {\tt mytype} Numbers} Below {\tt x}, {\tt y}, {\tt z} are of type {\tt mytype}. \begin{description} \item[{\tt void dd\_add(x, y, z)}]:\\ Set {\tt x} to be the sum of {\tt y} and {\tt z}. \item[{\tt void dd\_sub(x, y, z)}]:\\ Set {\tt x} to be the substraction of {\tt z} from {\tt y}. \item[{\tt void dd\_mul(x, y, z)}]:\\ Set {\tt x} to be the multiplication of {\tt y} and {\tt z}. \item[{\tt void dd\_div(x, y, z)}]:\\ Set {\tt x} to be the division of {\tt y} over {\tt z}. \item[{\tt void dd\_inv(x, y)}]:\\ Set {\tt x} to be the reciplocal of {\tt y}. \end{description} \subsubsection{Predefined Constants} \label{constants} There are several {\tt mytype} constants defined when {\tt dd\_set\_global\_constants(void)} is called. Some constants depend on the double constant {\tt dd\_almostzero} which is normally set to $10^{-7}$ in cdd.h. This value can be modified depending on how numerically delicate your problems are but an extra caution should be taken. \begin{description} \item[{\tt mytype dd\_purezero}]:\\ This represents the mathematical zero $0$. \item[{\tt mytype dd\_zero}]:\\ This represents the largest positive number which should be considered to be zero. In the GMPRATIONAL mode, it is equal to {\tt dd\_purezero}. In the C double mode, it is set to the value of {\tt dd\_almostzero}. \item[{\tt mytype dd\_minuszero}]:\\ The negative of {\tt dd\_zero}. \item[{\tt mytype dd\_one}]:\\ This represents the mathematical one $1$. \end{description} \subsubsection{Sign Evaluation and Comparison for {\tt mytype} Numbers} Below {\tt x}, {\tt y}, {\tt z} are of type {\tt mytype}. \begin{description} \item[{\tt dd\_boolean dd\_Positive(x)}]:\\ Returns {\tt dd\_TRUE} if {\tt x} is considered positive, and {\tt dd\_FALSE} otherwise. In the GMPRATIONAL mode, the positivity recognition is exact. In the C double mode, this means the value is strictly larger than {\tt dd\_zero}. {\tt dd\_boolean dd\_Negative(x)} works similarly. \item[{\tt dd\_boolean dd\_Nonpositive(x)}]:\\ Returns the negation of {\tt dd\_Positive(x)}. {\tt dd\_Nonnegative(x)} works similarly. \item[{\tt dd\_boolean dd\_EqualToZero(x)}]:\\ Returns {\tt dd\_TRUE} if {\tt x} is considered zero, and {\tt dd\_FALSE} otherwise. In the GMPRATIONAL mode, the zero recognition is exact. In the C double mode, this means the value is inbetween {\tt dd\_minuszero} and {\tt dd\_zero} inclusive. \item[{\tt dd\_boolean dd\_Larger(x, y)}]:\\ Returns {\tt dd\_TRUE} if {\tt x} is strictly larger than {\tt y}, and {\tt dd\_FALSE} otherwise. This is implemented as {dd\_Positive(z)} where {\tt z} is the subtraction of {\tt y} from {\tt x}. {\tt dd\_Smaller(x, y)} works similarly. \item[{\tt dd\_boolean dd\_Equal(x, y)}]:\\ Returns {\tt dd\_TRUE} if {\tt x} is considered equal to {\tt y}, and {\tt dd\_FALSE} otherwise. This is implemented as {dd\_EqualToZero(z)} where {\tt z} is the subtraction of {\tt y} from {\tt x}. \end{description} \subsubsection{Polyhedra Data Manipulation} \begin{description} \item[{\tt dd\_MatrixPtr dd\_PolyFile2Matrix (f, err)}]:\\ Read a Polyhedra data from stream {\tt f} and store it in {\tt matrixdata} and return a pointer to the data. \item[{\tt dd\_MatrixPtr dd\_CopyInequalities(poly)}]:\\ Copy the inequality representation pointed by poly to {\tt matrixdata} and return {\tt dd\_MatrixPtr}. \item[{\tt dd\_MatrixPtr dd\_CopyGenerators(poly)}]:\\ Copy the generator representation pointed by poly to {\tt matrixdata} and return {\tt dd\_MatrixPtr}. \item[{\tt dd\_SetFamilyPtr dd\_CopyIncidence(poly)}]:\\ Copy the incidence representation of the computed representation pointed by poly to {\tt setfamily} and return {\tt dd\_SetFamilyPtr}. The computed representation is {\tt Inequality} if the input is {\tt Generator}, and the vice visa. \item[{\tt dd\_SetFamilyPtr dd\_CopyAdjacency(poly)}]:\\ Copy the adjacency representation of the computed representation pointed by poly to {\tt setfamily} and return {\tt dd\_SetFamilyPtr}. The computed representation is {\tt Inequality} if the input is {\tt Generator}, and the vice visa. \item[{\tt dd\_SetFamilyPtr dd\_CopyInputIncidence(poly)}]:\\ Copy the incidence representation of the input representation pointed by poly to {\tt setfamily} and return {\tt d\_SetFamilyPtr}. \item[{\tt dd\_SetFamilyPtr dd\_CopyInputAdjacency(poly)}]:\\ Copy the adjacency representation of the input representation pointed by poly to {\tt setfamily} and return {\tt d\_SetFamilyPtr}. \item[{\tt void dd\_FreePolyhedra(poly)}]:\\ Free memory allocated to {\tt poly}. \end{description} \subsubsection{LP Data Manipulation} \begin{description} \item[{\tt dd\_LPPtr dd\_MakeLPforInteriorFinding(lp)}]:\\ Set up an LP to find an interior point of the feasible region of {\tt lp} and return a pointer to the LP. The new LP has one new variable $x_{d+1}$ and one more constraint: $\max x_{d+1}$ subject to $b - A x - x_{d+1} \ge 0$ and $x_{d+1} \le K$, where $K$ is a positive constant. \item[{\tt dd\_LPPtr dd\_Matrix2LP(matrix, err)}]:\\ Load {\tt matrix} to {\tt lpdata} and return a pointer to the data. \item[{\tt dd\_LPSolutionPtr dd\_CopyLPSolution(lp)}]:\\ Load the solutions of {\tt lp} to {\tt lpsolution} and return a pointer to the data. This replaces the old name {\tt dd\_LPSolutionLoad(lp)}. \item[{\tt void dd\_FreeLPData(lp)}]:\\ Free memory allocated as an LP data pointed by {\tt lp}. \item[{\tt void dd\_FreeLPSolution(lps)}]:\\ Free memory allocated as an LP solution data pointed by {\tt lps}. \end{description} \subsubsection{Matrix Manipulation} \begin{description} \item[{\tt dd\_MatrixPtr dd\_CopyMatrix(matrix)}]:\\ Make a copy of matrixdata pointed by {\tt matrix} and return a pointer to the copy. \item[{\tt dd\_MatrixPtr dd\_AppendMatrix(matrix1, matrix2)}]:\\ Make a matrixdata by copying {\tt *matrix1} and appending the matrix in {\tt *matrix2} and return a pointer to the data. The colsize must be equal in the two input matrices. It returns a {\tt NULL} pointer if the input matrices are not appropriate. Its {\tt rowsize} is set to the sum of the rowsizes of {\tt matrix1} and {\tt matrix2}. The new matrixdata inherits everything else (i.e. numbertype, representation, etc) from the first matrix. \item[{\tt int dd\_MatrixAppendTo(\& matrix1, matrix2)}]:\\ Same as {\tt dd\_AppendMatrix} except that the first matrix is modified to take the result. \item[{\tt int dd\_MatrixRowRemove(\& matrix, i)}]:\\ Remove the $i$th row of {\tt matrix}. \item[{\tt dd\_MatrixPtr dd\_MatrixSubmatrix(matrix, set)}]:\\ Generate the submatrix of {\tt matrix} by removing the rows indexed by {\tt set} and return a matrixdata pointer. \item[{\tt dd\_SetFamilyPtr dd\_Matrix2Adjacency(matrix, err)}]:\\ Return the adjacency list of the representation given by {\tt matrix}. The computation is done by the built-in LP solver. The representation should be free of redundancy when this function is called. See the function {\tt dd\_rowset dd\_RedundantRows} and the example program adjacency.c. \end{description} \subsection{Input/Output Functions} \label{IOLibrary} \begin{description} \item[{\tt dd\_MatrixPtr dd\_PolyFile2Matrix (f, err)}]:\\ Read a Polyhedra data from stream {\tt f} and store it in {\tt matrixdata} and return a pointer to the data. \item[{\tt boolean dd\_DDFile2File(ifile, ofile, err)}]:\\ Compute the representation conversion for a polyhedron given by a Polyhedra file ifile, and write the other representation in a Polyhedra file ofile. {\tt *err} returns {\tt dd\_NoError} if the computation terminates normally. Otherwise, it returns a value according to the error occured. \item[{\tt void dd\_WriteMatrix(f, matrix)}]:\\ Write {\tt matrix} to stream {\tt f}. \item[{\tt void dd\_WriteNumber(f, x)}]:\\ Write {\tt x} to stream {\tt f}. If {\tt x} is of GMP mpq\_t rational $p/q$, the output is $p/q$. If it is of C double, it is formated as a double float with a decimal point. \item[{\tt void dd\_WritePolyFile(f, poly)}]:\\ Write {tt poly} to stream {\tt f} in Polyhedra format. \item[{\tt void dd\_WriteErrorMessages(f, err)}]:\\ Write error messages given by {\tt err} to stream {\tt f}. \item[{\tt void dd\_WriteSetFamily(f, setfam)}]:\\ Write the set family pointed by {\tt setfam} to stream {\tt f}. For each set, it outputs its index, its cardinality, a colon ``:'' and a ordered list of its elements. \item[{\tt void dd\_WriteSetFamilyCompressed(f, setfam)}]:\\ Write the set family pointed by {\tt setfam} to stream {\tt f}. For each set, it outputs its index, its cardinality or the negative of the cardinality, a colon ``:'' and the elements in the set or its complements whichever is smaller. Whenever it outputs the complements, the cardinality is negated so that there is no ambiguity. This will be considered standard for outputing incidence (*.icd, *ecd) and adjacency (*.iad, *.ead) data in cddlib. But there is some minor incompatibility with cdd/cdd+ standalone codes. \item[{\tt void dd\_WriteProgramDescription(f)}]:\\ Write the cddlib version information to stream {\tt f}. \item[{\tt void dd\_WriteDDTimes(f, poly)}]:\\ Write the representation conversion time information on {\tt poly} to stream {\tt f}. \end{description} \subsection{Obsolete Functions} \label{ObsoleteFunctions} \begin{description} \item[{\tt boolean dd\_DoubleDescription(poly, err)}]: (removed in Version 0.90c)\\ The new function {\tt dd\_DDMatrix2Poly(matrix, err)} (see Section~\ref{CoreLibrary}) replaces (and actually combines) both this and {\tt dd\_Matrix2Poly(matrix, err)}. \item[{\tt dd\_PolyhedraPtr dd\_Matrix2Poly(matrix, err)}]: (removed in Version 0.90c)\\ See above for the reason for removal. \item[{\tt dd\_LPSolutionPtr dd\_LPSolutionLoad(lp)}]: (renamed in Version 0.90c)\\ This function is now called {\tt dd\_CopyLPSolution(lp)}. \end{description} \subsection{Set Functions in {\tt setoper} library} \label{SetFunctions} The cddlib comes with a simple set operation library {\tt setoper}. The key type defined is {\tt set\_type}. A set is represented by a fixed length binary strings. Thus, the maximum length of a set must be declared when it is initialized. Below the symbols {\tt a}, {\tt b}, {\tt c} are of type {\tt set\_type}. The symbols {\tt aP} is a pointer to type {\tt set\_type}, and {\tt s}, {\tt t} are of type {\tt long}. Here are some of the functions defined. See {\tt setoper.h} for a complete listing. \begin{description} \item[{\tt void set\_initialize(aP, s)}]:\\ Allocate a {\tt set\_type} space of maximum cardinality {\tt s} and make it pointed by {\tt aP}. The set is initialized as empty set. \item[{\tt void set\_free(a)}]:\\ Free the {\tt set\_type} space allocated for {\tt a}. \item[{\tt void set\_copy(a, b))}]:\\ Set {\tt a} to be {\tt b}. The set {\tt a} must be pre-initialized with the same maximum cardinality as that of {\tt b}. \item[{\tt void set\_addelem(a, t))}]:\\ Add an element {\tt t} to a set {\tt a}. The set {\tt a} stays unchanged if it contains the element {\tt t}. \item[{\tt long set\_card(a))}]:\\ Return the cardinality of set {\tt a}. \item[{\tt int set\_member(t, a))}]:\\ Return $1$ if {\tt t} is a member of set {\tt a}, and $0$ otherwise. \item[{\tt void set\_write(a))}]:\\ Print out the elements of set {\tt a} to {\tt stdout}. The function {\tt void set\_fwrite(f, a))} output to stream {\tt f}. \end{description} \section{An Extension of the CDD Library in GMP mode} \label{GMPLIB} Starting from the version 093, the GMP version of cddlib, {\tt libcddgmp.a}, contains all cdd library functions in two arithmetics. All functions with the standard prefix {\tt dd\_} are computed with the GMP rational arithmetic as before. The same fuctions with the new prefix {\tt ddf\_} are now added to the library {\tt libcddgmp.a} that are based on the C double floating-point arithmetic. Thus these functions are equivalent to {\tt libcdd.a} functions, except that all functions and variable types are with prefix {\tt ddf\_} and the variable type {\tt mytype} is replaced by {\tt myfloat}. In this sense, {\tt libcdd.a} is a proper subset of {\tt libcddgmp.a} and in principle one can do everything with {\tt libcddgmp.a}. See how the new {\tt dd\_LPSolve} is written in cddlp.c. \section{Examples} \label{EXAMPLES} See example codes such as testcdd*.c , testlp*.c, redcheck.c, adjacency.c, allfaces,c and simplecdd.c in the {\tt src} and {\tt src-gmp} subdirectories of the source distribution. \section{Numerical Accuracy} \label{accuracy} A little caution is in order. Many people have observed numerical problems of cddlib when the floating version of cddlib is used. As we all know, floating-point computation might not give a correct answer, especially when an input data is very sensitive to a small perturbation. When some strange behavior is observed, it is always wise to create a rationalization of the input (for example, one can replace 0.3333333 with 1/3) and to compute it with cddlib compiled with gmp rational to see what a correct behavior should be. Whenever the time is not important, it is safer to use gmp rational arithmetic. If you need speedy computation with floating-point arithmetic, you might want to ``play with'' the constant {\tt dd\_almostzero} defined in cdd.h: \begin{verbatim} #define dd_almostzero 1.0E-7 \end{verbatim} \noindent This number is used to recognize whether a number is zero: a number whose absolute value is smaller than {\tt dd\_almostzero} is considered zero, and nonzero otherwise. You can change this to modify the behavior of cddlib. One might consider the default setting is rather large for double precision arithmetic. This is because cddlib is made to deal with highly degenerate data and it works better to treat a relatively large ``epsilon'' as zero. Another thing one can do is scaling. If the values in one column of an input is of smaller magnitude than those in another column, scale one so that they become comparable. \section{Other Useful Codes} \label{CODES} There are several other useful codes available for vertex enumeration and/or convex hull computation such as lrs, qhull, porta and irisa-polylib. The pointers to these codes are available at \begin{enumerate} \item lrs by D. Avis \cite{a-lrshome-01} (C implementation of the reverse search algorithm \cite{af-pachv-92}). \item qhull by C.B. Barber \cite{bdh-qach-03} (C implementation of the beneath-beyond method, see \cite{e-acg-87,m-cg-94}, which is the dual of the dd method). \item porta by T. Christof and A. L{\"o}bel \cite{cl-porta-97} (C implementation of the Fourier-Motzkin elimination). \item IRISA polyhedral library by D.K. Wilde \cite{w-ldpo-93b} (C implementation of a variation of the dd algorithm). \item PPL: the Parma Polyhedra Library \cite{b-pplhome} by R. Bagnara (C++ implementation of a variation of the dd algorithm). \item {\tt pd} by A. Marzetta \cite{m-pdcip-97} (C implementation of the primal-dual algorithm \cite{bfm-pdmvf-97}). \item Geometry Center Software List by N. Amenta \cite{a-dcg}. \item Computational Geometry Pages by J. Erickson \cite{e-cgp}. \item Linear Programming FAQ by R. Fourer and J. Gregory \cite{fg-lpfaq}. \item ZIB Berlin polyhedral software list:\\ \htmladdnormallink{ftp://elib.zib-berlin.de/pub/mathprog/polyth/index.html} {ftp://elib.zib-berlin.de/pub/mathprog/polyth/index.html}. \item Polyhedral Computation FAQ \cite{f-pcfaq-98}. \end{enumerate} \section{Codes Using Cddlib} \label{USERCODES} There are quite a few nice programs using some functions of cddlib. Here are some of them. \begin{enumerate} \item {\tt LattE} \cite{dhhhty-latte-05} computes the number of lattice points in a convex polytope. \item {\tt Minksum} \cite{w-msv-05} is a program to compute the V-representation (i.e. the set of vertices) of the Minkowski addition of several convex polytopes given by their V-representation in $\R^d$. It is an implementation in C++ language of the reverse search algorithm \cite{f-fzctmacp-04} whose time complexity is polynomially bounded by the sizes of input and output. \item {\tt Gfan} \cite{j-gvum-05} is a program to list all reduced Gr\"obner bases of a general polynomial ideal given by a set of generating polynomials in $n$-variables. It is an implementation in C++ language of the reverse search algorithm \cite{fjt-cgf-05}. \item {\tt TOPCOM} \cite{r-topcom-05} computes the combinatorial structure (the oriented matroid) of a point configuration and enumerates all triangulations of a point set. It detects the regularlity of a triangulation using cddlib. \end{enumerate} \section*{Acknowledgements.} I am grateful to Tom Liebling who provided me with an ideal opportunity to visit EPFL for the academic year 1993-1994. Later, Hans-Jakob L\"uthi (ETHZ) and Emo Welzl (ETHZ) joined to support the the development of cdd codes (cdd, cdd+, cddlib). Without their generous and continuing support, the present form of this program would not have existed. There are many other people who helped me to improve cdd, in particular, I am indebted to David Avis, Alexander Bockmayr, David Bremner, Henry Crapo, Istvan Csabai, Francois Margot, Marc Pfetsch, Alain Prodon, J\"org Rambau, Dima Pasechnik, Shawn Rusaw, Matthew Saltzman, Masanori Sato, Anders Jensen, Ruriko Yoshida, Charles Geyer, Michal Kvasnica, Sven Verdoolaege (listed in arbitrary order) and those listed in the HISTORY file. \bibliographystyle{plain} \bibliography{fukuda1,fukuda2} \end{document} cddlib-094g/doc/cddlibman.toc000066400000000000000000000031451206770251100161550ustar00rootroot00000000000000\contentsline {section}{\numberline {1}Introduction}{2} \contentsline {section}{\numberline {2}Polyhedra H- and V-Formats (Version 1999)}{3} \contentsline {section}{\numberline {3}Basic Object Types (Structures) in cddlib}{4} \contentsline {section}{\numberline {4}Library Functions}{7} \contentsline {subsection}{\numberline {4.1}Library Initialization}{7} \contentsline {subsection}{\numberline {4.2}Core Functions}{7} \contentsline {subsection}{\numberline {4.3}Data Manipulations}{11} \contentsline {subsubsection}{\numberline {4.3.1}Number Assignments}{11} \contentsline {subsubsection}{\numberline {4.3.2}Arithmetic Operations for {\tt mytype} Numbers}{11} \contentsline {subsubsection}{\numberline {4.3.3}Predefined Constants}{12} \contentsline {subsubsection}{\numberline {4.3.4}Sign Evaluation and Comparison for {\tt mytype} Numbers}{12} \contentsline {subsubsection}{\numberline {4.3.5}Polyhedra Data Manipulation}{12} \contentsline {subsubsection}{\numberline {4.3.6}LP Data Manipulation}{13} \contentsline {subsubsection}{\numberline {4.3.7}Matrix Manipulation}{13} \contentsline {subsection}{\numberline {4.4}Input/Output Functions}{14} \contentsline {subsection}{\numberline {4.5}Obsolete Functions}{15} \contentsline {subsection}{\numberline {4.6}Set Functions in {\tt setoper} library}{15} \contentsline {section}{\numberline {5}An Extension of the CDD Library in GMP mode}{16} \contentsline {section}{\numberline {6}Examples}{16} \contentsline {section}{\numberline {7}Numerical Accuracy}{16} \contentsline {section}{\numberline {8}Other Useful Codes}{16} \contentsline {section}{\numberline {9}Codes Using Cddlib}{17} cddlib-094g/doc/html.sty000066400000000000000000000303141206770251100152340ustar00rootroot00000000000000% LaTeX2HTML Version 95.1 : html.sty % % WARNING: This file requires LaTeX2e. A LaTeX 2.09 version % is also provided, but with restricted functionality. % % This file contains definitions of LaTeX commands which are % processed in a special way by the translator. % For example, there are commands for embedding external hypertext links, % for cross-references between documents or for including % raw HTML. % This file includes the comments.sty file v2.0 by Victor Eijkhout % In most cases these commands do nothing when processed by LaTeX. % Modifications: % % nd = Nikos Drakos % jz = Jelle van Zeijl % hs = Herb Swan % hs 31-JAN-96 - Added support for document segmentation % hs 10-OCT-95 - Added \htmlrule command % jz 22-APR-94 - Added support for htmlref % nd - Created %%%%MG added \NeedsTeXFormat{LaTeX2e} \ProvidesPackage{html} [1996/02/01 v1.0 hypertext commands for latex2html (nd, hs)] %%%%MG % Exit if the style file is already loaded % (suggested by Lee Shombert \ifx \htmlstyloaded\relax \endinput\else\let\htmlstyloaded\relax\fi %%% LINKS TO EXTERNAL DOCUMENTS % % This can be used to provide links to arbitrary documents. % The first argumment should be the text that is going to be % highlighted and the second argument a URL. % The hyperlink will appear as a hyperlink in the HTML % document and as a footnote in the dvi or ps files. % \newcommand{\htmladdnormallinkfoot}[2]{#1\footnote{#2}} % This is an alternative definition of the command above which % will ignore the URL in the dvi or ps files. \newcommand{\htmladdnormallink}[2]{#1} % This command takes as argument a URL pointing to an image. % The image will be embedded in the HTML document but will % be ignored in the dvi and ps files. % \newcommand{\htmladdimg}[1]{} %%% CROSS-REFERENCES BETWEEN (LOCAL OR REMOTE) DOCUMENTS % % This can be used to refer to symbolic labels in other Latex % documents that have already been processed by the translator. % The arguments should be: % #1 : the URL to the directory containing the external document % #2 : the path to the labels.pl file of the external document. % If the external document lives on a remote machine then labels.pl % must be copied on the local machine. % %e.g. \externallabels{http://cbl.leeds.ac.uk/nikos/WWW/doc/tex2html/latex2html} % {/usr/cblelca/nikos/tmp/labels.pl} % The arguments are ignored in the dvi and ps files. % \newcommand{\externallabels}[2]{} % % This complements the \externallabels command above. The argument % should be a label defined in another latex document and will be % ignored in the dvi and ps files. % \newcommand{\externalref}[1]{} % This command adds a horizontal rule and is valid even within % a figure caption. % \newcommand{\htmlrule}{} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % % The following commands pertain to document segmentation, and % were added by Herbert Swan (with help from % Michel Goossens ): % % % This command inputs internal latex2html tables so that large % documents can to partitioned into smaller (more manageable) % segments. % \newcommand{\internal}[2][internals]{} % % Define a dummy stub \htmlhead{}. This command causes latex2html % to define the title of the start of a new segment. It is not % normally placed in the user's document. Rather, it is passed to % latex2html via a .ptr file written by \segment. % \newcommand{\htmlhead}[2]{} % % The dummy command \endpreamble is needed by latex2html to % mark the end of the preamble in document segments that do % not contain a \begin{document} % \newcommand{\startdocument}{} % % Allocate a new set of section counters, which will get incremented % for "*" forms of sectioning commands, and for a few miscellaneous % commands. % \newcounter{lpart} \newcounter{lchapter}[part] \ifx\chapter\undefined\newcounter{lsection}[part]\else\newcounter{lsection}[chapter]\fi \newcounter{lsubsection}[section] \newcounter{lsubsubsection}[subsection] \newcounter{lparagraph}[subsubsection] \newcounter{lsubparagraph}[paragraph] \newcounter{lsubsubparagraph}[subparagraph] \newcounter{lequation} % % Redefine "*" forms of sectioning commands to increment their % respective counters. % \let\Hpart=\part \let\Hchapter=\chapter \let\Hsection=\section \let\Hsubsection=\subsection \let\Hsubsubsection=\subsubsection \let\Hparagraph=\paragraph \let\Hsubparagraph=\subparagraph \let\Hsubsubparagraph=\subsubparagraph % % The following definitions are specific to LaTeX2e: % (They must be commented out for LaTeX 2.09) % \def\part{\@ifstar{\stepcounter{lpart}\Hpart*}{\Hpart}} \def\chapter{\@ifstar{\stepcounter{lchapter}\Hchapter*}{\Hchapter}} \def\section{\@ifstar{\stepcounter{lsection}\Hsection*}{\Hsection}} \def\subsection{\@ifstar{\stepcounter{lsubsection}\Hsubsection*}{\Hsubsection}} \def\subsubsection{\@ifstar{\stepcounter{lsubsubsection}\Hsubsubsection*}{\Hsubsubsection}} \def\paragraph{\@ifstar{\stepcounter{lparagraph}\Hparagraph*}{\Hparagraph}} \def\subparagraph{\@ifstar{\stepcounter{lsubparagraph}\Hsubparagraph*}{\Hsubparagraph}} \def\subsubparagraph{\@ifstar{\stepcounter{lsubsubparagraph}\Hsubsubparagraph*}{\Hsubsubparagraph}} % % Define a helper macro to dump a single \secounter command to a file. % \newcommand{\DumpPtr}[2]{% \count255=\arabic{#1} \advance\count255 by \arabic{#2} \immediate\write\ptrfile{% \noexpand\setcounter{#1}{\number\count255}}} % % Define a helper macro to dump all counters to the file. % The value for each counter will be the sum of the l-counter % actual LaTeX section counter. % Also dump an \htmlhead{section-command}{section title} command % to the file. % \def\DumpCounters#1#2#3{\newwrite\ptrfile \immediate\openout\ptrfile = #1.ptr \DumpPtr{part}{lpart} \ifx\Hchapter\undefined\relax\else\DumpPtr{chapter}{lchapter}\fi \DumpPtr{section}{lsection} \DumpPtr{subsection}{lsubsection} \DumpPtr{subsubsection}{lsubsubsection} \DumpPtr{paragraph}{lparagraph} \DumpPtr{subparagraph}{lsubparagraph} \DumpPtr{equation}{lequation} \immediate\write\ptrfile{\noexpand\htmlhead{#2}{#3}} \immediate\closeout\ptrfile} % % Define the \segment{file}{section-command}{section-title} command, % and its helper macros. This command does four things: % 1) Begins a new LaTeX section; % 2) Writes a list of section counters to file.ptr, each % of which represents the sum of the LaTeX section % counters, and the l-counters, defined above; % 3) Write an \htmlhead{section-title} command to file.ptr; % 4) Inputs file.tex. % %%%%MG changed \def\segment{\@ifstar{\@@htmls}{\@@html}} \def\@@htmls#1#2#3{\csname #2\endcsname* {#3}% \DumpCounters{#1}{#2*}{#3}\input{#1}} \def\@@html#1#2#3{\csname #2\endcsname {#3}% \DumpCounters{#1}{#2}{#3}\input{#1}} %%%%MG %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % Comment.sty version 2.0, 19 June 1992 % selectively in/exclude pieces of text: the user can define new % comment versions, and each is controlled separately. % This style can be used with plain TeX or LaTeX, and probably % most other packages too. % % Examples of use in LaTeX and TeX follow \endinput % % Author % Victor Eijkhout % Department of Computer Science % University Tennessee at Knoxville % 104 Ayres Hall % Knoxville, TN 37996 % USA % % eijkhout@cs.utk.edu % % Usage: all text included in between % \comment ... \endcomment % or \begin{comment} ... \end{comment} % is discarded. 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Carol % Similar to \ref but accepts conditional text. % The first argument is HTML text which will become ``hyperized'' % (underlined). % The second and third arguments are text which will appear only in the paper % version (DVI file), enclosing the fourth argument which is a reference to a label. % %e.g. \hyperref{using the tracer}{using the tracer (see Section}{)}{trace} % where there is a corresponding \label{trace} % \newcommand{\hyperref}[4]{#2\ref{#4}#3} %%% HTMLREF % Reference in HTML version only. % Mix between \htmladdnormallink and \hyperref. % First arg is text for in both versions, second is label for use in HTML % version. \newcommand{\htmlref}[2]{#1} %%% HTMLIMAGE % This command can be used inside any environment that is converted % into an inlined image (eg a "figure" environment) in order to change % the way the image will be translated. 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It is ignored by LaTeX. % % Example: % \htmladdtonavigation{\htmladdnormallink % {\htmladdimg{http://server/path/to/gif}} % {http://server/path}} \newcommand{\htmladdtonavigation}[1]{} \endinputcddlib-094g/examples-ext/000077500000000000000000000000001206770251100153755ustar00rootroot00000000000000cddlib-094g/examples-ext/ccc4.ext000066400000000000000000000004411206770251100167320ustar00rootroot00000000000000* file name: ccc4.ext * Complete cut cone on 4 vertices * The number of facets is 12. V-representation begin 7 7 integer 0 1 1 1 0 0 0 0 0 1 1 1 1 0 0 1 0 1 1 0 1 0 1 1 0 0 1 1 0 0 0 1 0 1 1 0 0 1 0 1 0 1 0 1 0 0 1 1 0 end cddlib-094g/examples-ext/ccc5.ext000066400000000000000000000007151206770251100167370ustar00rootroot00000000000000* file name: ccc5.ext * Complete cut cone on 5 vertices * The number of facets is 40. V-representation begin 15 11 integer 0 1 1 1 1 0 0 0 0 0 0 0 0 1 1 1 1 1 1 0 0 0 0 1 0 1 1 1 0 0 1 1 0 0 1 1 0 1 0 1 0 1 0 1 0 1 1 1 0 0 0 1 0 1 1 0 0 0 1 1 0 1 1 1 1 0 0 0 1 0 1 1 0 1 1 0 1 0 0 1 1 0 1 1 0 0 1 1 0 1 0 0 1 1 1 0 0 1 1 0 1 0 1 0 1 0 1 1 0 1 0 1 1 0 0 0 1 1 1 1 0 0 0 0 0 1 0 0 1 0 1 1 0 0 0 1 0 0 1 0 1 0 1 0 0 1 0 0 1 0 0 1 1 0 0 1 0 0 0 1 1 1 0 0 0 end cddlib-094g/examples-ext/ccc6.ext000066400000000000000000000022431206770251100167360ustar00rootroot00000000000000* file name: ccc6.ext * Complete cut cone on 6 vertices * The number of facets is 210. 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V-representation begin 8 7 integer 1 0 0 0 0 0 0 1 1 1 1 0 0 0 1 0 1 1 1 1 0 1 1 0 1 1 0 1 1 1 1 0 0 1 1 1 0 0 1 0 1 1 1 0 1 0 1 0 1 1 1 0 0 1 1 0 end cddlib-094g/examples-ext/ccp5.ext000066400000000000000000000010221206770251100167440ustar00rootroot00000000000000* filename: ccp5.ext * Input file for computing the facets of the complete cut polytope on 5 vertices * The number of facets is 56. V-representation begin 16 11 integer 1 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0 0 1 0 1 1 1 1 1 1 0 0 0 1 1 0 1 1 1 0 0 1 1 0 1 1 1 0 1 0 1 0 1 0 1 1 1 1 1 0 0 0 1 0 1 1 1 0 0 1 1 0 1 1 1 1 0 1 0 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 0 1 1 1 1 0 0 1 1 1 0 0 1 1 1 1 0 1 0 1 0 1 1 0 1 1 1 1 0 0 0 1 1 1 1 0 1 0 0 0 1 0 0 1 0 1 1 1 0 0 1 0 0 1 0 1 0 1 1 0 1 0 0 1 0 0 1 1 0 1 1 0 0 0 1 1 1 0 0 0 end cddlib-094g/examples-ext/ccp6.ext000066400000000000000000000023651206770251100167600ustar00rootroot00000000000000* file name: ccc6.ext * Input file for computing the facets of the complete cut polytope on 6 vertices * The number of facets is 368. V-representation begin 32 16 integer 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 1 1 1 0 0 0 0 0 0 1 1 0 1 1 1 1 0 0 0 1 1 1 0 0 0 1 1 1 0 1 1 0 1 0 0 1 0 0 1 1 0 1 1 1 1 0 1 0 0 1 0 0 1 0 1 0 1 1 1 1 1 1 0 0 0 0 1 0 0 1 0 1 1 1 0 0 1 1 1 0 1 1 1 1 1 1 0 0 0 1 0 1 0 1 1 1 0 1 1 1 0 0 1 1 0 1 0 1 1 0 1 1 1 0 1 0 1 0 1 0 1 1 0 1 1 1 0 1 1 1 0 0 0 1 0 1 1 1 1 0 0 1 1 1 1 0 0 0 1 1 1 1 0 1 1 0 1 0 1 1 0 1 0 1 0 1 1 0 1 1 1 0 1 1 0 1 0 0 1 1 1 0 0 1 1 1 1 1 0 0 1 0 1 1 0 1 1 0 0 1 1 1 1 1 0 1 0 0 1 0 1 1 0 1 1 0 1 1 1 1 1 0 0 0 0 1 1 0 1 1 1 1 0 1 0 0 0 1 1 0 0 1 1 0 1 1 1 1 0 1 0 0 1 0 1 0 1 0 1 1 0 1 1 0 1 1 0 0 1 1 0 0 1 1 0 1 1 0 0 1 1 1 0 1 0 0 1 1 0 0 1 1 1 0 0 1 1 1 0 1 0 1 0 1 0 1 0 1 0 1 1 0 1 1 0 1 1 0 0 1 1 0 0 0 1 1 1 1 0 1 1 0 0 0 1 1 1 1 0 0 0 1 0 1 1 1 1 0 0 1 0 1 1 0 1 0 1 0 1 0 1 1 1 0 1 0 0 1 0 1 1 1 0 0 1 1 0 1 1 1 0 0 0 0 1 1 1 1 1 1 0 0 0 1 0 0 0 0 1 0 0 0 1 0 0 1 0 1 1 1 0 0 0 1 0 0 0 1 0 0 1 0 1 0 1 1 0 0 1 0 0 0 1 0 0 1 0 0 1 1 0 1 0 1 0 0 0 1 0 0 0 1 1 1 0 0 0 1 1 0 0 0 0 1 1 1 1 0 0 0 0 0 0 end cddlib-094g/examples-ext/cyclic10-4.ext000066400000000000000000000004161206770251100176700ustar00rootroot00000000000000* 3-dim cyclic polytope with 10 vertices * Number of facets (outputs) =16 V-representation begin 10 4 integer 1 1 1 1 1 2 4 8 1 3 9 27 1 4 16 64 1 5 25 125 1 6 36 216 1 7 49 343 1 8 64 512 1 9 81 729 1 10 100 1000 end cddlib-094g/examples-ext/cyclic12-6.ext000066400000000000000000000007001206770251100176700ustar00rootroot00000000000000* 5-dim cyclic polytope with12 vertices * Number of facets (outputs) =72 V-representation begin 12 6 integer 1 1 1 1 1 1 1 2 4 8 16 32 1 3 9 27 81 243 1 4 16 64 256 1024 1 5 25 125 625 3125 1 6 36 216 1296 7776 1 7 49 343 2401 16807 1 8 64 512 4096 32768 1 9 81 729 6561 59049 1 10 100 1000 10000 100000 1 11 121 1331 14641 161051 1 12 144 1728 20736 248832 end cddlib-094g/examples-ext/cyclic14-8.ext000066400000000000000000000013341206770251100177000ustar00rootroot00000000000000* 7-dim cyclic polytope with 14 vertices * Number of facets (outputs) =240 V-representation begin 14 8 integer 1 1 1 1 1 1 1 1 1 2 4 8 16 32 64 128 1 3 9 27 81 243 729 2187 1 4 16 64 256 1024 4096 16384 1 5 25 125 625 3125 15625 78125 1 6 36 216 1296 7776 46656 279936 1 7 49 343 2401 16807 117649 823543 1 8 64 512 4096 32768 262144 2097152 1 9 81 729 6561 59049 531441 4782969 1 10 100 1000 10000 100000 1000000 10000000 1 11 121 1331 14641 161051 1771561 19487171 1 12 144 1728 20736 248832 2985984 35831808 1 13 169 2197 28561 371293 4826809 62748517 1 14 196 2744 38416 537824 7529536 105413504 end cddlib-094g/examples-ext/cyclic16-10.ext000066400000000000000000000022551206770251100177560ustar00rootroot00000000000000* 9-dim cyclic polytope with 16 vertices * Number of facets (outputs) =660 * This must be computed with exact arithmetic V-representation begin 16 10 integer 1 1 1 1 1 1 1 1 1 1 1 2 4 8 16 32 64 128 256 512 1 3 9 27 81 243 729 2187 6561 19683 1 4 16 64 256 1024 4096 16384 65536 262144 1 5 25 125 625 3125 15625 78125 390625 1953125 1 6 36 216 1296 7776 46656 279936 1679616 10077696 1 7 49 343 2401 16807 117649 823543 5764801 40353607 1 8 64 512 4096 32768 262144 2097152 16777216 134217728 1 9 81 729 6561 59049 531441 4782969 43046721 387420489 1 10 100 1000 10000 100000 1000000 10000000 100000000 1000000000 1 11 121 1331 14641 161051 1771561 19487171 214358881 2357947691 1 12 144 1728 20736 248832 2985984 35831808 429981696 5159780352 1 13 169 2197 28561 371293 4826809 62748517 815730721 10604499373 1 14 196 2744 38416 537824 7529536 105413504 1475789056 20661046784 1 15 225 3375 50625 759375 11390625 170859375 2562890625 38443359375 1 16 256 4096 65536 1048576 16777216 268435456 4294967296 68719476736 end cddlib-094g/examples-ext/irbox20-4.ext000066400000000000000000000012121206770251100175410ustar00rootroot00000000000000* File name: irbox20-4.ext * Randomly generated 20 integral points in [-100..100]^3 V-representation begin 20 4 integer 1 -45 1 47 1 -34 19 4 1 5 -11 28 1 17 -43 17 1 -46 8 -15 1 35 -26 -6 1 41 -3 -8 1 -39 41 34 1 -46 49 40 1 -18 -29 46 1 -20 -25 -2 1 -22 -9 -32 1 31 46 5 1 10 14 11 1 -22 17 -29 1 12 3 -5 1 -44 -5 40 1 -2 4 32 1 -18 8 31 1 -27 40 -48 end cddlib-094g/examples-ext/irbox200-4.ext000066400000000000000000000123241206770251100176270ustar00rootroot00000000000000* File name: ibox200-4.ext * Randomly generated 200 integral points in [-100..100]^3 V-representation begin 200 4 integer 1 12 -49 2 1 -38 25 -3 1 -26 39 -7 1 -25 28 44 1 -20 -41 -31 1 49 45 28 1 -42 12 -25 1 -9 -31 -20 1 49 5 33 1 15 34 30 1 -18 -3 31 1 34 8 6 1 -19 31 -4 1 23 -44 -25 1 17 -14 -16 1 36 -14 -20 1 15 -7 42 1 39 33 -39 1 -30 33 15 1 -46 -1 0 1 33 30 47 1 14 14 5 1 -28 45 -13 1 17 18 -7 1 41 -13 27 1 -24 -27 -36 1 5 37 5 1 -2 27 -11 1 7 47 -28 1 -26 -49 20 1 24 34 0 1 21 0 -35 1 -23 20 -39 1 13 -12 28 1 -44 -20 -35 1 33 4 -12 1 46 -39 -25 1 2 7 -47 1 41 -34 49 1 -36 -11 -49 1 33 -37 34 1 -16 34 -15 1 -1 -39 -45 1 8 23 -8 1 -12 29 21 1 2 13 -23 1 39 10 -13 1 -36 -37 43 1 -34 -46 -41 1 -34 -32 -2 1 -33 -49 10 1 -48 -15 -5 1 -14 33 4 1 -10 -7 -21 1 31 29 -42 1 2 -18 21 1 29 -29 -18 1 -34 -15 -6 1 -41 0 -2 1 -32 16 14 1 14 32 15 1 -25 33 -49 1 19 -31 33 1 -26 8 -24 1 2 -10 -44 1 9 42 -12 1 -19 21 8 1 12 37 43 1 -44 45 -6 1 3 -36 -40 1 -31 27 42 1 33 -47 25 1 33 21 43 1 17 45 1 1 43 -2 41 1 49 -42 34 1 -13 -11 5 1 45 -49 -7 1 38 -43 -11 1 -18 10 2 1 -8 28 -19 1 -16 12 -17 1 -40 -4 -45 1 -46 -36 -49 1 5 -43 -2 1 -3 -44 5 1 -18 -7 43 1 36 -12 44 1 -20 -24 -49 1 18 7 10 1 -29 48 -10 1 0 -17 -48 1 33 -8 -2 1 37 -4 10 1 38 -49 17 1 -14 -2 22 1 41 28 -35 1 35 15 2 1 29 44 27 1 30 13 -15 1 -8 33 -16 1 30 -16 15 1 31 -32 -42 1 -20 -44 3 1 39 43 3 1 6 -20 -49 1 -20 -29 29 1 -5 -44 -5 1 46 34 -11 1 24 15 -48 1 -41 -43 35 1 -8 37 -30 1 -42 19 -13 1 -34 48 -8 1 18 37 -15 1 -27 -5 13 1 -27 23 33 1 -48 -32 39 1 -3 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cddlib-094g/examples-ext/prodst62.ext000066400000000000000000005307771206770251100176250ustar00rootroot00000000000000* Created by Alain Prodon. * Convex hull problem and the number of facets is 168. 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0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 1 1 1 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 end cddlib-094g/examples-ext/reg24-5.ext000066400000000000000000000010451206770251100172040ustar00rootroot00000000000000* The vertices of a self-dual 4-dim regular polytope * with 24 octahedron facets. * We use hull option to compute all (24) facet inequalities. V-representation begin 24 5 integer 1 1 1 1 1 1 1 1 1 -1 1 1 1 -1 1 1 1 1 -1 -1 1 1 -1 1 1 1 1 -1 1 -1 1 1 -1 -1 1 1 1 -1 -1 -1 1 -1 1 1 1 1 -1 1 1 -1 1 -1 1 -1 1 1 -1 1 -1 -1 1 -1 -1 1 1 1 -1 -1 1 -1 1 -1 -1 -1 1 1 -1 -1 -1 -1 1 2 0 0 0 1 0 2 0 0 1 0 0 2 0 1 0 0 0 2 1 -2 0 0 0 1 0 -2 0 0 1 0 0 -2 0 1 0 0 0 -2 end cddlib-094g/examples-ext/reg600-5.ext000066400000000000000000000561001206770251100172660ustar00rootroot00000000000000* filename: reg600-5.ine * The vertices of a 4-dim regular polytope with 600 vertices. * Hull computation for finding all 120 facets. 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-1.618033989 1. 2. 1 0.6180339887 1.618033989 -1. -2. 1 0.6180339887 1.618033989 -1. 2. 1 0.6180339887 1.618033989 1. -2. 1 0.6180339887 1.618033989 1. 2. 1 1.618033989 -2. -1. -0.6180339887 1 1.618033989 -2. -1. 0.6180339887 1 1.618033989 -2. 1. -0.6180339887 1 1.618033989 -2. 1. 0.6180339887 1 1.618033989 -1. -0.6180339887 -2. 1 1.618033989 -1. -0.6180339887 2. 1 1.618033989 -1. 0.6180339887 -2. 1 1.618033989 -1. 0.6180339887 2. 1 1.618033989 1. -0.6180339887 -2. 1 1.618033989 1. -0.6180339887 2. 1 1.618033989 1. 0.6180339887 -2. 1 1.618033989 1. 0.6180339887 2. 1 1.618033989 2. -1. -0.6180339887 1 1.618033989 2. -1. 0.6180339887 1 1.618033989 2. 1. -0.6180339887 1 1.618033989 2. 1. 0.6180339887 1 1.618033989 -0.6180339887 -2. -1. 1 1.618033989 -0.6180339887 -2. 1. 1 1.618033989 -0.6180339887 2. -1. 1 1.618033989 -0.6180339887 2. 1. 1 1.618033989 0.6180339887 -2. -1. 1 1.618033989 0.6180339887 -2. 1. 1 1.618033989 0.6180339887 2. -1. 1 1.618033989 0.6180339887 2. 1. end cddlib-094g/examples-ine/000077500000000000000000000000001206770251100153505ustar00rootroot00000000000000cddlib-094g/examples-ine/allzero.ine000066400000000000000000000002241206770251100175130ustar00rootroot00000000000000* File name: allzero.ine H-representation begin 6 4 integer 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 end cddlib-094g/examples-ine/cross10.ine000066400000000000000000000701071206770251100173440ustar00rootroot00000000000000* 10-dim cross polytope H-representation begin 1024 11 integer 1 1 -1 -1 -1 -1 -1 -1 -1 -1 -1 1 1 -1 -1 -1 -1 -1 -1 -1 -1 1 1 1 -1 -1 -1 -1 -1 -1 -1 1 -1 1 1 -1 -1 -1 -1 -1 -1 -1 1 1 1 1 -1 -1 -1 -1 -1 -1 1 -1 -1 1 1 -1 -1 -1 -1 -1 -1 1 -1 1 1 1 -1 -1 -1 -1 -1 -1 1 1 -1 1 1 -1 -1 -1 -1 -1 -1 1 1 1 1 1 -1 -1 -1 -1 -1 1 -1 -1 -1 1 1 -1 -1 -1 -1 -1 1 -1 -1 1 1 1 -1 -1 -1 -1 -1 1 -1 1 -1 1 1 -1 -1 -1 -1 -1 1 -1 1 1 1 1 -1 -1 -1 -1 -1 1 1 -1 -1 1 1 -1 -1 -1 -1 -1 1 1 -1 1 1 1 -1 -1 -1 -1 -1 1 1 1 -1 1 1 -1 -1 -1 -1 -1 1 1 1 1 1 1 -1 -1 -1 -1 1 -1 -1 -1 -1 1 1 -1 -1 -1 -1 1 -1 -1 -1 1 1 1 -1 -1 -1 -1 1 -1 -1 1 -1 1 1 -1 -1 -1 -1 1 -1 -1 1 1 1 1 -1 -1 -1 -1 1 -1 1 -1 -1 1 1 -1 -1 -1 -1 1 -1 1 -1 1 1 1 -1 -1 -1 -1 1 -1 1 1 -1 1 1 -1 -1 -1 -1 1 -1 1 1 1 1 1 -1 -1 -1 -1 1 1 -1 -1 -1 1 1 -1 -1 -1 -1 1 1 -1 -1 1 1 1 -1 -1 -1 -1 1 1 -1 1 -1 1 1 -1 -1 -1 -1 1 1 -1 1 1 1 1 -1 -1 -1 -1 1 1 1 -1 -1 1 1 -1 -1 -1 -1 1 1 1 -1 1 1 1 -1 -1 -1 -1 1 1 1 1 -1 1 1 -1 -1 -1 -1 1 1 1 1 1 1 1 -1 -1 -1 1 -1 -1 -1 -1 -1 1 1 -1 -1 -1 1 -1 -1 -1 -1 1 1 1 -1 -1 -1 1 -1 -1 -1 1 -1 1 1 -1 -1 -1 1 -1 -1 -1 1 1 1 1 -1 -1 -1 1 -1 -1 1 -1 -1 1 1 -1 -1 -1 1 -1 -1 1 -1 1 1 1 -1 -1 -1 1 -1 -1 1 1 -1 1 1 -1 -1 -1 1 -1 -1 1 1 1 1 1 -1 -1 -1 1 -1 1 -1 -1 -1 1 1 -1 -1 -1 1 -1 1 -1 -1 1 1 1 -1 -1 -1 1 -1 1 -1 1 -1 1 1 -1 -1 -1 1 -1 1 -1 1 1 1 1 -1 -1 -1 1 -1 1 1 -1 -1 1 1 -1 -1 -1 1 -1 1 1 -1 1 1 1 -1 -1 -1 1 -1 1 1 1 -1 1 1 -1 -1 -1 1 -1 1 1 1 1 1 1 -1 -1 -1 1 1 -1 -1 -1 -1 1 1 -1 -1 -1 1 1 -1 -1 -1 1 1 1 -1 -1 -1 1 1 -1 -1 1 -1 1 1 -1 -1 -1 1 1 -1 -1 1 1 1 1 -1 -1 -1 1 1 -1 1 -1 -1 1 1 -1 -1 -1 1 1 -1 1 -1 1 1 1 -1 -1 -1 1 1 -1 1 1 -1 1 1 -1 -1 -1 1 1 -1 1 1 1 1 1 -1 -1 -1 1 1 1 -1 -1 -1 1 1 -1 -1 -1 1 1 1 -1 -1 1 1 1 -1 -1 -1 1 1 1 -1 1 -1 1 1 -1 -1 -1 1 1 1 -1 1 1 1 1 -1 -1 -1 1 1 1 1 -1 -1 1 1 -1 -1 -1 1 1 1 1 -1 1 1 1 -1 -1 -1 1 1 1 1 1 -1 1 1 -1 -1 -1 1 1 1 1 1 1 1 1 -1 -1 1 -1 -1 -1 -1 -1 -1 1 1 -1 -1 1 -1 -1 -1 -1 -1 1 1 1 -1 -1 1 -1 -1 -1 -1 1 -1 1 1 -1 -1 1 -1 -1 -1 -1 1 1 1 1 -1 -1 1 -1 -1 -1 1 -1 -1 1 1 -1 -1 1 -1 -1 -1 1 -1 1 1 1 -1 -1 1 -1 -1 -1 1 1 -1 1 1 -1 -1 1 -1 -1 -1 1 1 1 1 1 -1 -1 1 -1 -1 1 -1 -1 -1 1 1 -1 -1 1 -1 -1 1 -1 -1 1 1 1 -1 -1 1 -1 -1 1 -1 1 -1 1 1 -1 -1 1 -1 -1 1 -1 1 1 1 1 -1 -1 1 -1 -1 1 1 -1 -1 1 1 -1 -1 1 -1 -1 1 1 -1 1 1 1 -1 -1 1 -1 -1 1 1 1 -1 1 1 -1 -1 1 -1 -1 1 1 1 1 1 1 -1 -1 1 -1 1 -1 -1 -1 -1 1 1 -1 -1 1 -1 1 -1 -1 -1 1 1 1 -1 -1 1 -1 1 -1 -1 1 -1 1 1 -1 -1 1 -1 1 -1 -1 1 1 1 1 -1 -1 1 -1 1 -1 1 -1 -1 1 1 -1 -1 1 -1 1 -1 1 -1 1 1 1 -1 -1 1 -1 1 -1 1 1 -1 1 1 -1 -1 1 -1 1 -1 1 1 1 1 1 -1 -1 1 -1 1 1 -1 -1 -1 1 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1 1 -1 1 -1 -1 1 1 1 -1 -1 1 1 1 1 1 -1 -1 1 -1 1 1 1 -1 -1 -1 1 1 1 1 -1 -1 -1 -1 1 -1 1 1 1 1 1 1 -1 1 1 1 1 -1 1 -1 1 1 1 -1 1 1 -1 1 1 1 -1 -1 1 -1 1 1 -1 1 1 1 -1 1 1 -1 1 -1 1 -1 1 1 -1 -1 1 1 -1 1 1 -1 -1 -1 1 -1 1 -1 1 1 1 1 -1 1 -1 1 1 -1 1 -1 1 -1 1 -1 1 1 -1 1 -1 1 -1 -1 1 -1 1 -1 -1 1 1 1 -1 1 -1 -1 1 -1 1 -1 1 -1 -1 -1 1 1 -1 1 -1 -1 -1 -1 1 -1 -1 1 1 1 1 1 -1 -1 1 1 1 -1 1 -1 -1 1 1 -1 1 1 -1 -1 1 1 -1 -1 1 -1 -1 1 -1 1 1 1 -1 -1 1 -1 1 -1 1 -1 -1 1 -1 -1 1 1 -1 -1 1 -1 -1 -1 1 -1 -1 -1 1 1 1 1 -1 -1 -1 1 1 -1 1 -1 -1 -1 1 -1 1 1 -1 -1 -1 1 -1 -1 1 -1 -1 -1 -1 1 1 1 -1 -1 -1 -1 1 -1 1 -1 -1 -1 -1 -1 1 1 -1 -1 -1 -1 -1 -1 end cddlib-094g/examples-ine/cross8.ine000066400000000000000000000135031206770251100172700ustar00rootroot00000000000000* 8-dim cross polytope H-representation begin 256 9 integer 1 1 -1 -1 -1 -1 -1 -1 -1 1 1 -1 -1 -1 -1 -1 -1 1 1 1 -1 -1 -1 -1 -1 1 -1 1 1 -1 -1 -1 -1 -1 1 1 1 1 -1 -1 -1 -1 1 -1 -1 1 1 -1 -1 -1 -1 1 -1 1 1 1 -1 -1 -1 -1 1 1 -1 1 1 -1 -1 -1 -1 1 1 1 1 1 -1 -1 -1 1 -1 -1 -1 1 1 -1 -1 -1 1 -1 -1 1 1 1 -1 -1 -1 1 -1 1 -1 1 1 -1 -1 -1 1 -1 1 1 1 1 -1 -1 -1 1 1 -1 -1 1 1 -1 -1 -1 1 1 -1 1 1 1 -1 -1 -1 1 1 1 -1 1 1 -1 -1 -1 1 1 1 1 1 1 -1 -1 1 -1 -1 -1 -1 1 1 -1 -1 1 -1 -1 -1 1 1 1 -1 -1 1 -1 -1 1 -1 1 1 -1 -1 1 -1 -1 1 1 1 1 -1 -1 1 -1 1 -1 -1 1 1 -1 -1 1 -1 1 -1 1 1 1 -1 -1 1 -1 1 1 -1 1 1 -1 -1 1 -1 1 1 1 1 1 -1 -1 1 1 -1 -1 -1 1 1 -1 -1 1 1 -1 -1 1 1 1 -1 -1 1 1 -1 1 -1 1 1 -1 -1 1 1 -1 1 1 1 1 -1 -1 1 1 1 -1 -1 1 1 -1 -1 1 1 1 -1 1 1 1 -1 -1 1 1 1 1 -1 1 1 -1 -1 1 1 1 1 1 1 1 -1 1 -1 -1 -1 -1 -1 1 1 -1 1 -1 -1 -1 -1 1 1 1 -1 1 -1 -1 -1 1 -1 1 1 -1 1 -1 -1 -1 1 1 1 1 -1 1 -1 -1 1 -1 -1 1 1 -1 1 -1 -1 1 -1 1 1 1 -1 1 -1 -1 1 1 -1 1 1 -1 1 -1 -1 1 1 1 1 1 -1 1 -1 1 -1 -1 -1 1 1 -1 1 -1 1 -1 -1 1 1 1 -1 1 -1 1 -1 1 -1 1 1 -1 1 -1 1 -1 1 1 1 1 -1 1 -1 1 1 -1 -1 1 1 -1 1 -1 1 1 -1 1 1 1 -1 1 -1 1 1 1 -1 1 1 -1 1 -1 1 1 1 1 1 1 -1 1 1 -1 -1 -1 -1 1 1 -1 1 1 -1 -1 -1 1 1 1 -1 1 1 -1 -1 1 -1 1 1 -1 1 1 -1 -1 1 1 1 1 -1 1 1 -1 1 -1 -1 1 1 -1 1 1 -1 1 -1 1 1 1 -1 1 1 -1 1 1 -1 1 1 -1 1 1 -1 1 1 1 1 1 -1 1 1 1 -1 -1 -1 1 1 -1 1 1 1 -1 -1 1 1 1 -1 1 1 1 -1 1 -1 1 1 -1 1 1 1 -1 1 1 1 1 -1 1 1 1 1 -1 -1 1 1 -1 1 1 1 1 -1 1 1 1 -1 1 1 1 1 1 -1 1 1 -1 1 1 1 1 1 1 1 1 1 1 -1 -1 -1 -1 -1 1 1 1 1 -1 -1 -1 -1 1 1 1 1 1 -1 -1 -1 1 -1 1 1 1 1 -1 -1 -1 1 1 1 1 1 1 -1 -1 1 -1 -1 1 1 1 1 -1 -1 1 -1 1 1 1 1 1 -1 -1 1 1 -1 1 1 1 1 -1 -1 1 1 1 1 1 1 1 -1 1 -1 -1 -1 1 1 1 1 -1 1 -1 -1 1 1 1 1 1 -1 1 -1 1 -1 1 1 1 1 -1 1 -1 1 1 1 1 1 1 -1 1 1 -1 -1 1 1 1 1 -1 1 1 -1 1 1 1 1 1 -1 1 1 1 -1 1 1 1 1 -1 1 1 1 1 1 1 1 1 1 1 -1 -1 -1 1 1 1 1 1 1 -1 -1 1 1 1 1 1 1 1 -1 1 -1 1 1 1 1 1 1 -1 1 1 1 1 1 1 1 1 1 1 -1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 -1 1 1 1 1 1 1 1 1 -1 -1 1 1 1 1 1 -1 1 1 1 1 1 1 1 1 -1 1 1 -1 1 1 1 1 1 -1 1 -1 1 1 1 1 1 1 -1 1 -1 -1 1 1 1 1 1 -1 -1 1 1 1 1 1 1 1 -1 -1 1 -1 1 1 1 1 1 -1 -1 -1 1 1 1 1 1 1 -1 -1 -1 -1 1 1 1 -1 1 1 1 1 1 1 1 1 -1 1 1 1 1 -1 1 1 1 -1 1 1 1 -1 1 1 1 1 -1 1 1 1 -1 -1 1 1 1 -1 1 1 -1 1 1 1 1 1 -1 1 1 -1 1 -1 1 1 1 -1 1 1 -1 -1 1 1 1 1 -1 1 1 -1 -1 -1 1 1 1 -1 1 -1 1 1 1 1 1 1 -1 1 -1 1 1 -1 1 1 1 -1 1 -1 1 -1 1 1 1 1 -1 1 -1 1 -1 -1 1 1 1 -1 1 -1 -1 1 1 1 1 1 -1 1 -1 -1 1 -1 1 1 1 -1 1 -1 -1 -1 1 1 1 1 -1 1 -1 -1 -1 -1 1 1 1 -1 -1 1 1 1 1 1 1 1 -1 -1 1 1 1 -1 1 1 1 -1 -1 1 1 -1 1 1 1 1 -1 -1 1 1 -1 -1 1 1 1 -1 -1 1 -1 1 1 1 1 1 -1 -1 1 -1 1 -1 1 1 1 -1 -1 1 -1 -1 1 1 1 1 -1 -1 1 -1 -1 -1 1 1 1 -1 -1 -1 1 1 1 1 1 1 -1 -1 -1 1 1 -1 1 1 1 -1 -1 -1 1 -1 1 1 1 1 -1 -1 -1 1 -1 -1 1 1 1 -1 -1 -1 -1 1 1 1 1 1 -1 -1 -1 -1 1 -1 1 1 1 -1 -1 -1 -1 -1 1 1 1 1 -1 -1 -1 -1 -1 -1 1 -1 1 1 1 1 1 1 1 1 -1 1 1 1 1 1 1 -1 1 -1 1 1 1 1 1 -1 1 1 -1 1 1 1 1 1 -1 -1 1 -1 1 1 1 1 -1 1 1 1 -1 1 1 1 1 -1 1 -1 1 -1 1 1 1 1 -1 -1 1 1 -1 1 1 1 1 -1 -1 -1 1 -1 1 1 1 -1 1 1 1 1 -1 1 1 1 -1 1 1 -1 1 -1 1 1 1 -1 1 -1 1 1 -1 1 1 1 -1 1 -1 -1 1 -1 1 1 1 -1 -1 1 1 1 -1 1 1 1 -1 -1 1 -1 1 -1 1 1 1 -1 -1 -1 1 1 -1 1 1 1 -1 -1 -1 -1 1 -1 1 1 -1 1 1 1 1 1 -1 1 1 -1 1 1 1 -1 1 -1 1 1 -1 1 1 -1 1 1 -1 1 1 -1 1 1 -1 -1 1 -1 1 1 -1 1 -1 1 1 1 -1 1 1 -1 1 -1 1 -1 1 -1 1 1 -1 1 -1 -1 1 1 -1 1 1 -1 1 -1 -1 -1 1 -1 1 1 -1 -1 1 1 1 1 -1 1 1 -1 -1 1 1 -1 1 -1 1 1 -1 -1 1 -1 1 1 -1 1 1 -1 -1 1 -1 -1 1 -1 1 1 -1 -1 -1 1 1 1 -1 1 1 -1 -1 -1 1 -1 1 -1 1 1 -1 -1 -1 -1 1 1 -1 1 1 -1 -1 -1 -1 -1 1 -1 1 -1 1 1 1 1 1 1 -1 1 -1 1 1 1 1 -1 1 -1 1 -1 1 1 1 -1 1 1 -1 1 -1 1 1 1 -1 -1 1 -1 1 -1 1 1 -1 1 1 1 -1 1 -1 1 1 -1 1 -1 1 -1 1 -1 1 1 -1 -1 1 1 -1 1 -1 1 1 -1 -1 -1 1 -1 1 -1 1 -1 1 1 1 1 -1 1 -1 1 -1 1 1 -1 1 -1 1 -1 1 -1 1 -1 1 1 -1 1 -1 1 -1 1 -1 -1 1 -1 1 -1 1 -1 -1 1 1 1 -1 1 -1 1 -1 -1 1 -1 1 -1 1 -1 1 -1 -1 -1 1 1 -1 1 -1 1 -1 -1 -1 -1 1 -1 1 -1 -1 1 1 1 1 1 -1 1 -1 -1 1 1 1 -1 1 -1 1 -1 -1 1 1 -1 1 1 -1 1 -1 -1 1 1 -1 -1 1 -1 1 -1 -1 1 -1 1 1 1 -1 1 -1 -1 1 -1 1 -1 1 -1 1 -1 -1 1 -1 -1 1 1 -1 1 -1 -1 1 -1 -1 -1 1 -1 1 -1 -1 -1 1 1 1 1 -1 1 -1 -1 -1 1 1 -1 1 -1 1 -1 -1 -1 1 -1 1 1 -1 1 -1 -1 -1 1 -1 -1 1 -1 1 -1 -1 -1 -1 1 1 1 -1 1 -1 -1 -1 -1 1 -1 1 -1 1 -1 -1 -1 -1 -1 1 1 -1 1 -1 -1 -1 -1 -1 -1 1 -1 -1 1 1 1 1 1 1 1 -1 -1 1 1 1 1 1 -1 1 -1 -1 1 1 1 1 -1 1 1 -1 -1 1 1 1 1 -1 -1 1 -1 -1 1 1 1 -1 1 1 1 -1 -1 1 1 1 -1 1 -1 1 -1 -1 1 1 1 -1 -1 1 1 -1 -1 1 1 1 -1 -1 -1 1 -1 -1 1 1 -1 1 1 1 1 -1 -1 1 1 -1 1 1 -1 1 -1 -1 1 1 -1 1 -1 1 1 -1 -1 1 1 -1 1 -1 -1 1 -1 -1 1 1 -1 -1 1 1 1 -1 -1 1 1 -1 -1 1 -1 1 -1 -1 1 1 -1 -1 -1 1 1 -1 -1 1 1 -1 -1 -1 -1 1 -1 -1 1 -1 1 1 1 1 1 -1 -1 1 -1 1 1 1 -1 1 -1 -1 1 -1 1 1 -1 1 1 -1 -1 1 -1 1 1 -1 -1 1 -1 -1 1 -1 1 -1 1 1 1 -1 -1 1 -1 1 -1 1 -1 1 -1 -1 1 -1 1 -1 -1 1 1 -1 -1 1 -1 1 -1 -1 -1 1 -1 -1 1 -1 -1 1 1 1 1 -1 -1 1 -1 -1 1 1 -1 1 -1 -1 1 -1 -1 1 -1 1 1 -1 -1 1 -1 -1 1 -1 -1 1 -1 -1 1 -1 -1 -1 1 1 1 -1 -1 1 -1 -1 -1 1 -1 1 -1 -1 1 -1 -1 -1 -1 1 1 -1 -1 1 -1 -1 -1 -1 -1 1 -1 -1 -1 1 1 1 1 1 1 -1 -1 -1 1 1 1 1 -1 1 -1 -1 -1 1 1 1 -1 1 1 -1 -1 -1 1 1 1 -1 -1 1 -1 -1 -1 1 1 -1 1 1 1 -1 -1 -1 1 1 -1 1 -1 1 -1 -1 -1 1 1 -1 -1 1 1 -1 -1 -1 1 1 -1 -1 -1 1 -1 -1 -1 1 -1 1 1 1 1 -1 -1 -1 1 -1 1 1 -1 1 -1 -1 -1 1 -1 1 -1 1 1 -1 -1 -1 1 -1 1 -1 -1 1 -1 -1 -1 1 -1 -1 1 1 1 -1 -1 -1 1 -1 -1 1 -1 1 -1 -1 -1 1 -1 -1 -1 1 1 -1 -1 -1 1 -1 -1 -1 -1 1 -1 -1 -1 -1 1 1 1 1 1 -1 -1 -1 -1 1 1 1 -1 1 -1 -1 -1 -1 1 1 -1 1 1 -1 -1 -1 -1 1 1 -1 -1 1 -1 -1 -1 -1 1 -1 1 1 1 -1 -1 -1 -1 1 -1 1 -1 1 -1 -1 -1 -1 1 -1 -1 1 1 -1 -1 -1 -1 1 -1 -1 -1 1 -1 -1 -1 -1 -1 1 1 1 1 -1 -1 -1 -1 -1 1 1 -1 1 -1 -1 -1 -1 -1 1 -1 1 1 -1 -1 -1 -1 -1 1 -1 -1 1 -1 -1 -1 -1 -1 -1 1 1 1 -1 -1 -1 -1 -1 -1 1 -1 1 -1 -1 -1 -1 -1 -1 -1 1 1 -1 -1 -1 -1 -1 -1 -1 -1 end cddlib-094g/examples-ine/cube10.ine000066400000000000000000000014001206770251100171170ustar00rootroot00000000000000H-representation begin 20 11 integer 1 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 -1 0 0 1 0 0 0 0 0 0 -1 0 0 0 1 0 0 0 0 0 -1 0 0 0 0 1 0 0 0 0 -1 0 0 0 0 0 1 0 0 0 -1 0 0 0 0 0 0 1 0 0 -1 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 -2 -1 0 0 0 0 0 0 0 0 0 end minimize -2 -1 0 0 0 0 0 0 0 0 0 cddlib-094g/examples-ine/cube12.ine000066400000000000000000000020011206770251100171170ustar00rootroot00000000000000* 12-dim hypercube H-representation begin 24 13 integer 1 1 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 1 0 0 -1 0 0 0 0 0 0 0 0 0 1 0 0 0 -1 0 0 0 0 0 0 0 0 1 0 0 0 0 -1 0 0 0 0 0 0 0 1 0 0 0 0 0 -1 0 0 0 0 0 0 1 0 0 0 0 0 0 -1 0 0 0 0 0 1 0 0 0 0 0 0 0 -1 0 0 0 0 1 0 0 0 0 0 0 0 0 -1 0 0 0 1 0 0 0 0 0 0 0 0 0 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 -1 end cddlib-094g/examples-ine/cube6.ine000066400000000000000000000005001206770251100170440ustar00rootroot00000000000000* 6-dim hypercube H-representation begin 12 7 integer 1 1 0 0 0 0 0 1 0 1 0 0 0 0 1 0 0 1 0 0 0 1 0 0 0 1 0 0 1 0 0 0 0 1 0 1 0 0 0 0 0 1 1 -1 0 0 0 0 0 1 0 -1 0 0 0 0 1 0 0 -1 0 0 0 1 0 0 0 -1 0 0 1 0 0 0 0 -1 0 1 0 0 0 0 0 -1 end cddlib-094g/examples-ine/cube8.ine000066400000000000000000000007771206770251100170660ustar00rootroot00000000000000* 8-dim hypercube H-representation begin 16 9 integer 1 1 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 1 0 0 0 1 0 0 0 0 1 0 0 0 0 1 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 1 1 -1 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 1 0 0 -1 0 0 0 0 0 1 0 0 0 -1 0 0 0 0 1 0 0 0 0 -1 0 0 0 1 0 0 0 0 0 -1 0 0 1 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 -1 end cddlib-094g/examples-ine/cubocta.ine000066400000000000000000000004301206770251100174620ustar00rootroot00000000000000filename: cubocta.ine Cuboctahedron H-representation begin 14 4 integer 1 1 0 0 1 0 1 0 1 0 0 1 1 -1 0 0 1 0 -1 0 1 0 0 -1 2 1 1 1 2 -1 1 1 2 1 -1 1 2 1 1 -1 2 -1 -1 1 2 1 -1 -1 2 -1 1 -1 2 -1 -1 -1 end cddlib-094g/examples-ine/ex1.ine000066400000000000000000000003531206770251100165430ustar00rootroot00000000000000* file name: ex1.ine * 2 dimensional polyhedron with three vertices (0,3), (-1, 4) and (-1,10) and * two extremal rays (2,1) and (1,2). H-representation begin 4 3 integer 12 2 -1 -6 -1 2 -3 1 1 1 1 0 end cddlib-094g/examples-ine/infeas.ine000066400000000000000000000006531206770251100173160ustar00rootroot00000000000000* File name: infeas.ine * The empty polytope. No vertices and rays. H-representation begin 13 7 integer 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 -2 1 0 0 0 0 0 0 0 0 0 0 0 1 1 -1 0 0 0 0 0 1 0 -1 0 0 0 0 1 0 0 -1 0 0 0 1 0 0 0 -1 0 0 1 0 0 0 0 -1 0 1 0 0 0 0 0 -1 end minimize 0 1 1 1 1 1 1 debug cddlib-094g/examples-ine/integralpoints.ine000066400000000000000000000022511206770251100211070ustar00rootroot00000000000000* This input file is an example for generating * integral solutions to the following system of linear inequalities: * 10 x1 + 7 x2 <= 70 * 11 x1 + 5 x2 >= 55 * x1 >= 0, x2 >= 0 * By using the fact that 0<=x1<=7 and 0<=x2<=10, we apply * the (binary representation) substitution: x1 = 4 x13 + 2 x12 + x11 (all binary variables) x2 = 8 x24 + 4 x23 + 2 x22 + x21 (all binary variables) * The reduced system of linear inequalities is the input data. * Since all integral (i.e. 0-1) solutions are extreme points, * the integral extreme points are in one-to-one correspondence * with the integral solutions to the original system. In this * example, there are 194 extreme points among which 10 are * integral (0-1) solutions. H-representation begin 16 8 integer 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 1 -1 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 1 0 0 -1 0 0 0 0 1 0 0 0 -1 0 0 0 1 0 0 0 0 -1 0 0 1 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 -1 70 -40 -20 -10 -56 -28 -14 -7 -55 44 22 11 40 20 10 5 end cddlib-094g/examples-ine/kkd18_4.ine000066400000000000000000000013251206770251100172130ustar00rootroot00000000000000* kkd18_4.ine * This must be computed with rational arithmetic. H-representation begin 18 5 integer 3976210973720 -5964591245895 -33802508475500 -161110322828670 -745886931169976 5 -10 -50 -220 -974 5 -5 -35 -185 -899 5 0 -10 -90 -574 5 5 25 95 301 5 10 70 400 2146 5 15 125 855 5501 5 20 190 1490 11026 5 25 265 2335 19501 5 30 350 3420 31826 5 35 445 4775 49021 5 40 550 6430 72226 5 45 665 8415 102701 5 50 790 10760 141826 5 55 925 13495 191101 5 60 1070 16650 252146 5 65 1225 20255 326701 -3976210973719 5964591245895 33802508475500 161110322828670 745886931169976 end cddlib-094g/examples-ine/kkd27_5.ine000066400000000000000000000025271206770251100172210ustar00rootroot00000000000000* kkd27_5.ine * This must be computed with rational arithmetic. H-representation begin 27 6 integer 1172039901841798080 -1758060515119739835 -12306436783413558955 -72080893223436992535 -406122552605284841587 -2275777153240670950215 6 -15 -85 -435 -2269 -12195 6 -9 -67 -393 -2179 -12009 6 -3 -37 -279 -1789 -10743 6 3 5 -57 -739 -6057 6 9 59 309 1475 6549 6 15 125 855 5501 34455 6 21 203 1617 12131 88641 6 27 293 2631 22301 184407 6 33 395 3933 37091 342093 6 39 509 5559 57725 587799 6 45 635 7545 85571 954105 6 51 773 9927 122141 1480791 6 57 923 12741 169091 2215557 6 63 1085 16023 228221 3214743 6 69 1259 19809 301475 4544049 6 75 1445 24135 390941 6279255 6 81 1643 29037 498851 8506941 6 87 1853 34551 627581 11325207 6 93 2075 40713 779651 14844393 6 99 2309 47559 957725 19187799 6 105 2555 55125 1164611 24492405 6 111 2813 63447 1403261 30909591 6 117 3083 72561 1676771 38605857 6 123 3365 82503 1988381 47763543 6 129 3659 93309 2341475 58581549 -1172039901841798079 1758060515119739835 12306436783413558955 72080893223436992535 406122552605284841587 2275777153240670950215 end cddlib-094g/examples-ine/kkd38_6.ine000066400000000000000000000046311206770251100172220ustar00rootroot00000000000000* kkd38_6.ine * This must be computed with rational arithmetic. H-representation begin 38 7 integer 2919394390774395218459334 -4379091595292464054287507 -36492430237104184038520181 -253987324572060483286422939 -1691789494531258045567157717 -11149182918946980113429731347 -73511950112254277868261780941 7 -21 -133 -777 -4669 -29001 -184813 7 -14 -112 -728 -4564 -28784 -184372 7 -7 -77 -595 -4109 -27307 -179717 7 0 -28 -336 -2884 -21840 -156148 7 7 35 91 -301 -7133 -75445 7 14 112 728 4396 25424 141772 7 21 203 1617 12131 88641 638723 7 28 308 2800 23996 200368 1650188 7 35 427 4319 41251 384335 3535267 7 42 560 6216 65324 670992 6815180 7 49 707 8533 97811 1098349 12216107 7 56 868 11312 140476 1712816 20717068 7 63 1043 14595 195251 2570043 33602843 7 70 1232 18424 264236 3735760 52521932 7 77 1435 22841 349699 5286617 79549555 7 84 1652 27888 454076 7311024 117255692 7 91 1883 33607 579971 9909991 168778163 7 98 2128 40040 730156 13197968 237900748 7 105 2387 47229 907571 17303685 329136347 7 112 2660 55216 1115324 22370992 447815180 7 119 2947 64043 1356691 28559699 600178027 7 126 3248 73752 1635116 36046416 793474508 7 133 3563 84385 1954211 45025393 1036066403 7 140 3892 95984 2317756 55709360 1337536012 7 147 4235 108591 2729699 68330367 1708799555 7 154 4592 122248 3194156 83140624 2162225612 7 161 4963 136997 3715411 100413341 2711758603 7 168 5348 152880 4297916 120443568 3373047308 7 175 5747 169939 4946291 143549035 4163578427 7 182 6160 188216 5665324 170070992 5102815180 7 189 6587 207753 6459971 200375049 6212340947 7 196 7028 228592 7335356 234852016 7516007948 7 203 7483 250775 8296771 273918743 9040090963 7 210 7952 274344 9349676 318018960 10813446092 7 217 8435 299341 10499699 367624117 12867674555 7 224 8932 325808 11752636 423234224 15237291532 -2919394390774395218459333 4379091595292464054287507 36492430237104184038520181 253987324572060483286422939 1691789494531258045567157717 11149182918946980113429731347 73511950112254277868261780941 end cddlib-094g/examples-ine/nonfull.ine000066400000000000000000000003231206770251100175200ustar00rootroot00000000000000* filename: nonfull.ine * non full-dimensional polyhedron H-representation begin 6 4 integer 2 -1 0 0 -2 1 0 0 2 0 -1 0 -1 1 0 0 -1 0 1 0 -1 0 0 1 end cddlib-094g/examples-ine/origin.ine000066400000000000000000000005261206770251100173370ustar00rootroot00000000000000* filename: origin.ine * The polytope consists of a single point, the origin. * cddlib now works properly for this input (version 090c and up). H-representation begin 7 7 integer 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 -1 -1 -1 -1 -1 -1 end cddlib-094g/examples-ine/reg24-5.ine000066400000000000000000000007461206770251100171410ustar00rootroot00000000000000* The facets of a self-dual 4-dim regular polytope * with 24 octahedron facets. H-representation begin 24 5 integer 1 1 1 1 1 1 1 1 1 -1 1 1 1 -1 1 1 1 1 -1 -1 1 1 -1 1 1 1 1 -1 1 -1 1 1 -1 -1 1 1 1 -1 -1 -1 1 -1 1 1 1 1 -1 1 1 -1 1 -1 1 -1 1 1 -1 1 -1 -1 1 -1 -1 1 1 1 -1 -1 1 -1 1 -1 -1 -1 1 1 -1 -1 -1 -1 1 2 0 0 0 1 0 2 0 0 1 0 0 2 0 1 0 0 0 2 1 -2 0 0 0 1 0 -2 0 0 1 0 0 -2 0 1 0 0 0 -2 end cddlib-094g/examples-ine/sampleh1.ine000066400000000000000000000002371206770251100175610ustar00rootroot00000000000000* file name: sampleh1.ine * a 3-D cone containing no vertices and a line H-representation begin 3 4 integer 2 -1 -1 0 0 1 0 0 0 0 1 0 end cddlib-094g/examples-ine/sampleh2.ine000066400000000000000000000002001206770251100175500ustar00rootroot00000000000000* file name: sampleh2.ine * a hyperplane with no vertices and rays H-representation begin 1 4 integer -1 0 0 1 end cddlib-094g/examples-ine/sampleh3.ine000066400000000000000000000002161206770251100175600ustar00rootroot00000000000000* file name: sampleh3.ine * a 3-D homogeneous cone with no vertices H-representation begin 2 4 integer 0 1 1 0 0 0 1 0 end cddlib-094g/examples-ine/sampleh4.ine000066400000000000000000000003441206770251100175630ustar00rootroot00000000000000* File name: sampleh4.ine * trivial inequalities: the polyhedron is the whole space. H-representation begin 6 4 integer 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 end maximize 0 1 1 1 cddlib-094g/examples-ine/sampleh5.ine000066400000000000000000000004101206770251100175560ustar00rootroot00000000000000* file name: sampleh5.ine * test file for redundancy removal H-representation linearity 1 3 begin 10 4 integer 0 1 0 0 0 0 1 0 0 0 0 1 0 2 0 0 0 0 0 3 1 -1 -1 -1 1 -1 -1 0 1 0 -1 -1 1 -1 0 -1 2 -1 -1 -1 end maximize 0 1 1 1 cddlib-094g/examples-ine/sampleh6.ine000066400000000000000000000002601206770251100175620ustar00rootroot00000000000000* file name: sampleh6.ine * test file for forced-equality checking H-representation begin 5 4 integer 0 1 0 0 0 0 1 0 0 0 0 1 1 -1 -1 -1 -1 1 1 0 end cddlib-094g/examples-ine/sampleh7.ine000066400000000000000000000004401206770251100175630ustar00rootroot00000000000000* test file for redundancy removal * the redundant rows are * 3 4 5 9 10 * LP type = 1 Seed = 123 H-representation begin 10 3 integer 0 1 0 0 0 1 -10000 651 693 -10000 697 637 -10000 368 824 -10000 87 725 -10000 387 219 -10000 430 202 -10000 356 988 -10000 674 979 end cddlib-094g/examples-ine/sampleh8.ine000066400000000000000000000104101206770251100175620ustar00rootroot00000000000000* test file for redundancy removal * the redundant rows are * 10 11 12 14 21 23 26 32 39 40 41 44 46 * 50 51 54 56 57 59 62 63 64 69 76 77 78 * 79 83 84 85 87 88 91 94 97 * LP type = 1 Seed = 123 H-representation begin 100 10 integer 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 -10000 651 693 84 697 637 340 368 824 663 -10000 725 742 387 219 751 430 202 745 356 -10000 377 674 979 167 815 988 412 676 475 -10000 710 275 949 284 629 1 422 974 510 -10000 692 945 725 488 271 430 724 225 726 -10000 465 258 450 343 87 168 161 103 919 -10000 86 79 656 493 832 514 791 506 29 -10000 63 630 874 918 877 272 992 119 480 -10000 598 926 42 378 288 66 927 919 99 -10000 256 354 106 979 641 160 395 225 837 -10000 202 388 900 471 160 751 300 731 818 -10000 342 502 825 563 639 261 194 984 990 -10000 266 406 364 216 448 675 145 694 866 -10000 362 983 732 378 134 902 946 877 205 -10000 926 125 949 888 234 630 275 707 67 -10000 634 81 192 768 652 822 311 961 895 -10000 983 597 743 314 696 585 367 396 826 -10000 511 545 539 97 111 996 477 35 372 -10000 474 103 152 753 159 120 929 161 563 -10000 549 793 307 456 444 184 149 792 894 -10000 839 488 917 192 168 788 959 245 25 -10000 750 165 338 182 392 381 962 117 713 -10000 738 827 943 507 914 814 951 663 815 -10000 493 339 225 351 450 788 992 167 792 -10000 174 773 247 247 180 517 445 599 596 -10000 303 26 967 39 535 4 7 335 217 -10000 772 173 189 291 668 191 610 677 544 -10000 848 642 40 125 865 100 259 534 648 -10000 501 622 398 624 118 416 30 17 236 -10000 218 602 697 892 322 314 361 573 985 -10000 958 856 608 492 563 478 311 614 740 -10000 582 913 938 949 715 338 39 726 998 -10000 521 805 708 221 624 316 24 127 322 -10000 491 189 412 774 418 200 193 633 315 -10000 144 679 383 447 989 939 441 631 482 -10000 940 241 153 215 149 457 254 207 125 -10000 80 873 207 904 684 600 940 431 825 -10000 75 100 353 637 432 377 940 758 164 -10000 627 721 915 710 8 786 96 17 576 -10000 247 104 607 432 540 164 597 282 317 -10000 553 787 881 942 152 318 44 509 518 -10000 181 772 942 993 916 900 713 694 812 -10000 625 26 638 261 385 196 676 717 572 -10000 11 911 296 761 658 631 757 817 400 -10000 964 989 879 491 490 751 490 97 405 -10000 28 461 343 452 480 504 411 242 892 -10000 768 746 347 352 724 487 185 767 287 -10000 924 228 958 554 352 460 765 742 430 -10000 737 986 499 993 721 29 821 416 813 -10000 483 458 249 781 584 321 779 209 570 -10000 222 166 975 53 765 256 859 469 164 -10000 82 696 181 166 375 145 415 496 261 -10000 540 309 526 918 439 489 846 417 775 -10000 699 145 327 873 467 866 711 393 603 -10000 445 668 729 224 654 970 279 789 680 -10000 28 659 365 306 186 520 427 176 191 -10000 919 58 859 436 105 35 560 716 14 -10000 641 238 340 524 205 255 272 14 472 -10000 817 22 904 782 573 847 649 100 280 -10000 925 277 930 495 736 960 276 726 657 -10000 336 54 357 979 941 765 593 630 286 -10000 65 113 104 915 222 158 580 520 188 -10000 42 617 904 414 588 857 416 94 988 -10000 716 49 849 67 607 99 934 184 217 -10000 458 32 500 552 108 980 255 998 935 -10000 860 936 115 268 231 281 948 209 766 -10000 293 330 940 570 857 421 574 481 364 -10000 959 949 372 757 306 757 752 312 137 -10000 769 303 737 260 187 695 946 723 433 -10000 980 564 605 363 776 893 558 616 603 -10000 945 23 632 820 54 677 795 616 625 -10000 629 692 585 33 674 703 304 489 949 -10000 52 903 723 746 692 232 917 933 211 -10000 367 566 364 318 607 818 424 234 605 -10000 915 305 354 829 469 447 925 188 799 -10000 387 596 946 888 751 614 539 295 299 -10000 969 902 10 739 289 923 808 28 151 -10000 537 152 546 442 182 301 258 265 762 -10000 671 288 343 199 694 391 457 947 250 -10000 415 734 423 435 696 111 53 227 784 -10000 800 992 720 76 40 419 608 182 683 -10000 619 627 278 526 453 960 772 992 86 -10000 836 623 0 21 371 4 676 964 658 -10000 258 677 64 968 62 219 587 308 299 -10000 224 823 258 449 575 526 908 585 405 -10000 593 660 663 341 36 79 50 242 293 -10000 80 761 270 460 82 133 874 559 41 -10000 169 539 257 827 222 743 873 929 523 -10000 403 167 259 377 76 160 749 448 902 -10000 290 5 276 509 342 909 193 443 552 -10000 928 326 757 405 598 765 143 833 150 end cddlib-094g/examples-ine/samplelp.ine000066400000000000000000000020701206770251100176610ustar00rootroot00000000000000* Rational LP data H-representation begin 20 5 rational 0 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 1 0 3008 20980 -97775 -101225 0 3985 25643 -135871 -130580 0 4324 26978 -133655 -168473 0 3534 25361 -46243 -100407 0 8836 40796 -176661 -215616 0 5376 37562 -182576 -217615 0 4982 33088 -98880 -167278 0 4775 39122 -136701 -193393 0 8046 42958 -225138 -256575 0 8554 48955 -257370 -312877 0 6147 45514 -165274 -227099 0 8366 55140 -203989 -321623 0 13479 68037 -174270 -341743 0 21808 78302 -322990 -487539 1 -8554/10000 -48955/10000 0 0 1 0 0 -257370/10000 -312877/10000 end maximize 0 1 1/2 1/3 1/4 cddlib-094g/examples-ine/samplelp1.ine000066400000000000000000000002571206770251100177470ustar00rootroot00000000000000* file name: samplelp1.ine * LP H-representation begin 6 4 integer 1 1 0 0 1 0 1 0 1 0 0 1 1 -1 0 0 1 0 -1 0 1 0 0 -1 end maximize 0 1 1 1 cddlib-094g/examples-ine/samplelp2.ine000066400000000000000000000002771206770251100177520ustar00rootroot00000000000000* file name: samplelp2.ine * LP H-representation linearity 2 3 4 begin 4 5 rational 0 1 1 0 0 0 0 2 0 0 3 0 -1 0 0 9/2 0 0 -1 -1 end minimize 0 2 3/5 0 0 cddlib-094g/examples-ine/samplelp3.ine000066400000000000000000000144441206770251100177540ustar00rootroot00000000000000* file name: samplelp3.ine * LP given by floating-point real numbers H-representation begin 120 5 real 2.618033989E+00 1 0 0 0 8.472135943E+00 2.618033984E+00 1.618033988E+00 -1 0 8.472135943E+00 2.618033984E+00 1.618033988E+00 1 0 8.472135945E+00 2.618033984E+00 1 0 1.618033990E+00 8.472135945E+00 2.618033984E+00 1 0 -1.618033990E+00 8.472135946E+00 2.618033985E+00 0 1.618033990E+00 1 8.472135946E+00 2.618033985E+00 0 1.618033990E+00 -1 8.472135946E+00 2.618033985E+00 0 -1.618033990E+00 1 8.472135946E+00 2.618033985E+00 0 -1.618033990E+00 -1 8.472135960E+00 2.618033990E+00 -1 0 1.618033991E+00 8.472135954E+00 2.618033988E+00 -1 0 -1.618033990E+00 8.472135941E+00 2.618033984E+00 -1.618033987E+00 1 0 8.472135946E+00 2.618033984E+00 -1.618033992E+00 -1 0 8.472135966E+00 1.618033989E+00 2.618033995E+00 0 1 8.472135966E+00 1.618033989E+00 2.618033995E+00 0 -1 5.236067982E+00 1 1 1 1 5.236067982E+00 1 1 1 -1 5.236067980E+00 1 1 -1 1 5.236067980E+00 1 1 -1 -1 8.472135941E+00 1.618033989E+00 1 2.618033982E+00 0 8.472135936E+00 1.618033985E+00 1 -2.618033983E+00 0 8.472135965E+00 1.618033992E+00 0 1 2.618033991E+00 8.472135965E+00 1.618033992E+00 0 1 -2.618033991E+00 8.472135967E+00 1.618033992E+00 0 -1 2.618033993E+00 8.472135967E+00 1.618033992E+00 0 -1 -2.618033993E+00 8.472135996E+00 1.618034002E+00 -1 2.618033998E+00 0 8.472135985E+00 1.618033997E+00 -1 -2.618033998E+00 0 5.236067982E+00 1 -1 1 1 5.236067987E+00 1 -1 1 -1 5.236067983E+00 1 -1 -1 1 5.236067984E+00 1 -1 -1 -1 8.472135981E+00 1.618033999E+00 -2.618033991E+00 0 1 8.472135972E+00 1.618033998E+00 -2.618033988E+00 0 -1 8.472135864E+00 1 2.618033957E+00 1.618033969E+00 0 8.472135874E+00 1 2.618033960E+00 -1.618033969E+00 0 8.472135841E+00 1 1.618033964E+00 0 2.618033948E+00 8.472135864E+00 1 1.618033970E+00 0 -2.618033956E+00 8.472135865E+00 1 0 2.618033957E+00 1.618033968E+00 8.472135880E+00 1 0 2.618033963E+00 -1.618033971E+00 8.472135921E+00 1 0 -2.618033977E+00 1.618033982E+00 8.472135936E+00 1 0 -2.618033982E+00 -1.618033984E+00 8.472135950E+00 1 -1.618033984E+00 0 2.618033987E+00 8.472135975E+00 1 -1.618033991E+00 0 -2.618033996E+00 8.472135940E+00 1 -2.618033980E+00 1.618033987E+00 0 8.472135918E+00 1 -2.618033977E+00 -1.618033979E+00 0 2.618033992E+00 0 1 0 0 8.472135970E+00 0 2.618033994E+00 1 1.618033987E+00 8.472135966E+00 0 2.618033993E+00 1 -1.618033986E+00 8.472135969E+00 0 2.618033993E+00 -1 1.618033989E+00 8.472135965E+00 0 2.618033993E+00 -1 -1.618033988E+00 8.472135978E+00 0 1.618033994E+00 2.618033994E+00 1 8.472136017E+00 0 1.618034002E+00 2.618034006E+00 -1 8.472135962E+00 0 1.618033993E+00 -2.618033988E+00 1 8.472135995E+00 0 1.618033999E+00 -2.618033998E+00 -1 8.472135946E+00 0 1 1.618033984E+00 2.618033986E+00 8.472135944E+00 0 1 1.618033985E+00 -2.618033986E+00 8.472135922E+00 0 1 -1.618033980E+00 2.618033979E+00 2.618033990E+00 0 0 0 1 8.472135919E+00 0 1 -1.618033980E+00 -2.618033979E+00 2.618033989E+00 0 0 0 -1 2.618033988E+00 0 0 1 0 2.618033987E+00 0 0 -1 0 8.472135960E+00 0 -1 1.618033993E+00 2.618033991E+00 8.472135908E+00 0 -1.618033977E+00 2.618033974E+00 1 8.472135958E+00 0 -1 1.618033994E+00 -2.618033991E+00 8.472135901E+00 0 -1.618033978E+00 2.618033974E+00 -1 8.472135954E+00 0 -1 -1.618033990E+00 2.618033990E+00 8.472135908E+00 0 -1.618033976E+00 -2.618033974E+00 1 8.472135952E+00 0 -1 -1.618033991E+00 -2.618033990E+00 8.472135907E+00 0 -1.618033978E+00 -2.618033975E+00 -1 8.472135946E+00 0 -2.618033995E+00 1 1.618033991E+00 8.472135953E+00 0 -2.618033995E+00 -1 1.618033994E+00 8.472135953E+00 0 -2.618033998E+00 1 -1.618033992E+00 8.472135955E+00 0 -2.618033996E+00 -1 -1.618033994E+00 2.618033981E+00 0 -1 0 0 8.472135799E+00 -1 2.618033936E+00 1.618033957E+00 0 8.472135806E+00 -1 2.618033939E+00 -1.618033956E+00 0 8.472135741E+00 -1 1.618033945E+00 0 2.618033918E+00 8.472135889E+00 -1.618033990E+00 2.618033960E+00 0 1 8.472135767E+00 -1 1.618033951E+00 0 -2.618033925E+00 8.472135878E+00 -1.618033996E+00 2.618033953E+00 0 -1 8.472135831E+00 -1 0 2.618033947E+00 1.618033962E+00 5.236068004E+00 -1 1 1 1 8.472135830E+00 -1 0 2.618033948E+00 -1.618033961E+00 5.236067998E+00 -1 1 1 -1 8.472135931E+00 -1 0 -2.618033980E+00 1.618033984E+00 5.236067998E+00 -1 1 -1 1 8.472135930E+00 -1 0 -2.618033980E+00 -1.618033982E+00 5.236067992E+00 -1 1 -1 -1 8.472135952E+00 -1.618033993E+00 1 2.618033986E+00 0 8.472135960E+00 -1.618033995E+00 1 -2.618033988E+00 0 8.472135973E+00 -1 -1.618033989E+00 0 2.618033995E+00 8.472135979E+00 -1.618033991E+00 0 1 2.618033997E+00 8.472135996E+00 -1 -1.618033995E+00 0 -2.618034002E+00 8.472135951E+00 -1.618033985E+00 0 1 -2.618033988E+00 8.472135999E+00 -1.618033998E+00 0 -1 2.618034003E+00 8.472135970E+00 -1.618033992E+00 0 -1 -2.618033994E+00 8.472135949E+00 -1 -2.618033984E+00 1.618033989E+00 0 8.472135976E+00 -1.618033990E+00 -1 2.618033998E+00 0 8.472135886E+00 -1 -2.618033968E+00 -1.618033973E+00 0 8.472136008E+00 -1.618034002E+00 -1 -2.618034009E+00 0 5.236068025E+00 -1 -1 1 1 5.236068045E+00 -1 -1 1 -1 5.236067992E+00 -1 -1 -1 1 5.236067996E+00 -1 -1 -1 -1 8.472135733E+00 -1.618033890E+00 -2.618033931E+00 0 1 8.472135716E+00 -1.618033884E+00 -2.618033926E+00 0 -1 8.472135892E+00 -2.618033958E+00 1.618033988E+00 1 0 8.472135949E+00 -2.618033975E+00 1.618033999E+00 -1 0 8.472135850E+00 -2.618033938E+00 1 0 1.618033982E+00 8.472135860E+00 -2.618033944E+00 1 0 -1.618033981E+00 8.472135925E+00 -2.618033969E+00 0 1.618033991E+00 1 8.472135937E+00 -2.618033972E+00 0 1.618033995E+00 -1 8.472135998E+00 -2.618034011E+00 0 -1.618033985E+00 1 8.472136011E+00 -2.618034015E+00 0 -1.618033988E+00 -1 8.472136073E+00 -2.618034037E+00 -1 0 1.618034000E+00 8.472136082E+00 -2.618034044E+00 -1 0 -1.618033997E+00 8.472135976E+00 -2.618034005E+00 -1.618033977E+00 1 0 8.472136051E+00 -2.618034034E+00 -1.618033992E+00 -1 0 2.618033989E+00 -1 0 0 0 end maximize 0 1 2.1 3.1 4.5 cddlib-094g/examples-ine/samplelp4.ine000066400000000000000000000143651206770251100177570ustar00rootroot00000000000000* file name: lpmintest.ine H-representation begin 120 5 real 2.618033989E+00 1 0 0 0 8.472135943E+00 2.618033984E+00 1.618033988E+00 -1 0 8.472135943E+00 2.618033984E+00 1.618033988E+00 1 0 8.472135945E+00 2.618033984E+00 1 0 1.618033990E+00 8.472135945E+00 2.618033984E+00 1 0 -1.618033990E+00 8.472135946E+00 2.618033985E+00 0 1.618033990E+00 1 8.472135946E+00 2.618033985E+00 0 1.618033990E+00 -1 8.472135946E+00 2.618033985E+00 0 -1.618033990E+00 1 8.472135946E+00 2.618033985E+00 0 -1.618033990E+00 -1 8.472135960E+00 2.618033990E+00 -1 0 1.618033991E+00 8.472135954E+00 2.618033988E+00 -1 0 -1.618033990E+00 8.472135941E+00 2.618033984E+00 -1.618033987E+00 1 0 8.472135946E+00 2.618033984E+00 -1.618033992E+00 -1 0 8.472135966E+00 1.618033989E+00 2.618033995E+00 0 1 8.472135966E+00 1.618033989E+00 2.618033995E+00 0 -1 5.236067982E+00 1 1 1 1 5.236067982E+00 1 1 1 -1 5.236067980E+00 1 1 -1 1 5.236067980E+00 1 1 -1 -1 8.472135941E+00 1.618033989E+00 1 2.618033982E+00 0 8.472135936E+00 1.618033985E+00 1 -2.618033983E+00 0 8.472135965E+00 1.618033992E+00 0 1 2.618033991E+00 8.472135965E+00 1.618033992E+00 0 1 -2.618033991E+00 8.472135967E+00 1.618033992E+00 0 -1 2.618033993E+00 8.472135967E+00 1.618033992E+00 0 -1 -2.618033993E+00 8.472135996E+00 1.618034002E+00 -1 2.618033998E+00 0 8.472135985E+00 1.618033997E+00 -1 -2.618033998E+00 0 5.236067982E+00 1 -1 1 1 5.236067987E+00 1 -1 1 -1 5.236067983E+00 1 -1 -1 1 5.236067984E+00 1 -1 -1 -1 8.472135981E+00 1.618033999E+00 -2.618033991E+00 0 1 8.472135972E+00 1.618033998E+00 -2.618033988E+00 0 -1 8.472135864E+00 1 2.618033957E+00 1.618033969E+00 0 8.472135874E+00 1 2.618033960E+00 -1.618033969E+00 0 8.472135841E+00 1 1.618033964E+00 0 2.618033948E+00 8.472135864E+00 1 1.618033970E+00 0 -2.618033956E+00 8.472135865E+00 1 0 2.618033957E+00 1.618033968E+00 8.472135880E+00 1 0 2.618033963E+00 -1.618033971E+00 8.472135921E+00 1 0 -2.618033977E+00 1.618033982E+00 8.472135936E+00 1 0 -2.618033982E+00 -1.618033984E+00 8.472135950E+00 1 -1.618033984E+00 0 2.618033987E+00 8.472135975E+00 1 -1.618033991E+00 0 -2.618033996E+00 8.472135940E+00 1 -2.618033980E+00 1.618033987E+00 0 8.472135918E+00 1 -2.618033977E+00 -1.618033979E+00 0 2.618033992E+00 0 1 0 0 8.472135970E+00 0 2.618033994E+00 1 1.618033987E+00 8.472135966E+00 0 2.618033993E+00 1 -1.618033986E+00 8.472135969E+00 0 2.618033993E+00 -1 1.618033989E+00 8.472135965E+00 0 2.618033993E+00 -1 -1.618033988E+00 8.472135978E+00 0 1.618033994E+00 2.618033994E+00 1 8.472136017E+00 0 1.618034002E+00 2.618034006E+00 -1 8.472135962E+00 0 1.618033993E+00 -2.618033988E+00 1 8.472135995E+00 0 1.618033999E+00 -2.618033998E+00 -1 8.472135946E+00 0 1 1.618033984E+00 2.618033986E+00 8.472135944E+00 0 1 1.618033985E+00 -2.618033986E+00 8.472135922E+00 0 1 -1.618033980E+00 2.618033979E+00 2.618033990E+00 0 0 0 1 8.472135919E+00 0 1 -1.618033980E+00 -2.618033979E+00 2.618033989E+00 0 0 0 -1 2.618033988E+00 0 0 1 0 2.618033987E+00 0 0 -1 0 8.472135960E+00 0 -1 1.618033993E+00 2.618033991E+00 8.472135908E+00 0 -1.618033977E+00 2.618033974E+00 1 8.472135958E+00 0 -1 1.618033994E+00 -2.618033991E+00 8.472135901E+00 0 -1.618033978E+00 2.618033974E+00 -1 8.472135954E+00 0 -1 -1.618033990E+00 2.618033990E+00 8.472135908E+00 0 -1.618033976E+00 -2.618033974E+00 1 8.472135952E+00 0 -1 -1.618033991E+00 -2.618033990E+00 8.472135907E+00 0 -1.618033978E+00 -2.618033975E+00 -1 8.472135946E+00 0 -2.618033995E+00 1 1.618033991E+00 8.472135953E+00 0 -2.618033995E+00 -1 1.618033994E+00 8.472135953E+00 0 -2.618033998E+00 1 -1.618033992E+00 8.472135955E+00 0 -2.618033996E+00 -1 -1.618033994E+00 2.618033981E+00 0 -1 0 0 8.472135799E+00 -1 2.618033936E+00 1.618033957E+00 0 8.472135806E+00 -1 2.618033939E+00 -1.618033956E+00 0 8.472135741E+00 -1 1.618033945E+00 0 2.618033918E+00 8.472135889E+00 -1.618033990E+00 2.618033960E+00 0 1 8.472135767E+00 -1 1.618033951E+00 0 -2.618033925E+00 8.472135878E+00 -1.618033996E+00 2.618033953E+00 0 -1 8.472135831E+00 -1 0 2.618033947E+00 1.618033962E+00 5.236068004E+00 -1 1 1 1 8.472135830E+00 -1 0 2.618033948E+00 -1.618033961E+00 5.236067998E+00 -1 1 1 -1 8.472135931E+00 -1 0 -2.618033980E+00 1.618033984E+00 5.236067998E+00 -1 1 -1 1 8.472135930E+00 -1 0 -2.618033980E+00 -1.618033982E+00 5.236067992E+00 -1 1 -1 -1 8.472135952E+00 -1.618033993E+00 1 2.618033986E+00 0 8.472135960E+00 -1.618033995E+00 1 -2.618033988E+00 0 8.472135973E+00 -1 -1.618033989E+00 0 2.618033995E+00 8.472135979E+00 -1.618033991E+00 0 1 2.618033997E+00 8.472135996E+00 -1 -1.618033995E+00 0 -2.618034002E+00 8.472135951E+00 -1.618033985E+00 0 1 -2.618033988E+00 8.472135999E+00 -1.618033998E+00 0 -1 2.618034003E+00 8.472135970E+00 -1.618033992E+00 0 -1 -2.618033994E+00 8.472135949E+00 -1 -2.618033984E+00 1.618033989E+00 0 8.472135976E+00 -1.618033990E+00 -1 2.618033998E+00 0 8.472135886E+00 -1 -2.618033968E+00 -1.618033973E+00 0 8.472136008E+00 -1.618034002E+00 -1 -2.618034009E+00 0 5.236068025E+00 -1 -1 1 1 5.236068045E+00 -1 -1 1 -1 5.236067992E+00 -1 -1 -1 1 5.236067996E+00 -1 -1 -1 -1 8.472135733E+00 -1.618033890E+00 -2.618033931E+00 0 1 8.472135716E+00 -1.618033884E+00 -2.618033926E+00 0 -1 8.472135892E+00 -2.618033958E+00 1.618033988E+00 1 0 8.472135949E+00 -2.618033975E+00 1.618033999E+00 -1 0 8.472135850E+00 -2.618033938E+00 1 0 1.618033982E+00 8.472135860E+00 -2.618033944E+00 1 0 -1.618033981E+00 8.472135925E+00 -2.618033969E+00 0 1.618033991E+00 1 8.472135937E+00 -2.618033972E+00 0 1.618033995E+00 -1 8.472135998E+00 -2.618034011E+00 0 -1.618033985E+00 1 8.472136011E+00 -2.618034015E+00 0 -1.618033988E+00 -1 8.472136073E+00 -2.618034037E+00 -1 0 1.618034000E+00 8.472136082E+00 -2.618034044E+00 -1 0 -1.618033997E+00 8.472135976E+00 -2.618034005E+00 -1.618033977E+00 1 0 8.472136051E+00 -2.618034034E+00 -1.618033992E+00 -1 0 2.618033989E+00 -1 0 0 0 end minimize 0 1 1 1 1 cddlib-094g/examples-ine3d/000077500000000000000000000000001206770251100155775ustar00rootroot00000000000000cddlib-094g/examples-ine3d/cube3.ine000066400000000000000000000002461206770251100172770ustar00rootroot00000000000000filename: cube3.ine Hypercube of dimension 3 H-representation begin 6 4 integer 1 1 0 0 1 0 1 0 1 0 0 1 1 -1 0 0 1 0 -1 0 1 0 0 -1 end cddlib-094g/examples-ine3d/cubocta.ine000066400000000000000000000004301206770251100177110ustar00rootroot00000000000000filename: cubocta.ine Cuboctahedron H-representation begin 14 4 integer 1 1 0 0 1 0 1 0 1 0 0 1 1 -1 0 0 1 0 -1 0 1 0 0 -1 2 1 1 1 2 -1 1 1 2 1 -1 1 2 1 1 -1 2 -1 -1 1 2 1 -1 -1 2 -1 1 -1 2 -1 -1 -1 end cddlib-094g/examples-ine3d/dodeca.ine000066400000000000000000000007421206770251100175160ustar00rootroot00000000000000filename: dodeca.ine dodecahedron inequalities H-representation begin 12 4 real 1 0 -0.61803398874989485 -1. 1 -1. 0 -0.61803398874989485 1 -0.61803398874989485 -1. 0 1 0 0.61803398874989485 1. 1 1. 0 0.61803398874989485 1 0.61803398874989485 1. 0 1 0 0.61803398874989485 -1. 1 -1. 0 0.61803398874989485 1 0.61803398874989485 -1. 0 1 0 -0.61803398874989485 1. 1 1. 0 -0.61803398874989485 1 -0.61803398874989485 1. 0 end cddlib-094g/examples-ine3d/grcubocta.ine000066400000000000000000000007221206770251100202460ustar00rootroot00000000000000filename: grcubocta.ine Great rhombicuboctahedron H-representation begin 26 4 integer 1 1 0 0 1 0 1 0 1 0 0 1 1 -1 0 0 1 0 -1 0 1 0 0 -1 2 1 1 1 2 -1 1 1 2 1 -1 1 2 1 1 -1 2 -1 -1 1 2 1 -1 -1 2 -1 1 -1 2 -1 -1 -1 5 3 3 0 5 0 3 3 5 3 0 3 5 -3 3 0 5 0 -3 3 5 3 0 -3 5 3 -3 0 5 0 3 -3 5 -3 0 3 5 -3 -3 0 5 0 -3 -3 5 -3 0 -3 end cddlib-094g/examples-ine3d/hexocta.ine000066400000000000000000000013051206770251100177260ustar00rootroot00000000000000filename: hexocta.ine Hexakis octahedron H-representation begin 48 4 integer 3 -3 1 -2 3 -2 -1 -3 3 -2 1 -3 3 -3 -1 -2 3 -2 3 -1 3 -2 3 1 3 -3 2 -1 3 -3 2 1 3 1 -3 2 3 1 -2 3 3 -1 -3 2 3 -1 -2 3 3 1 2 3 3 1 3 2 3 -1 2 3 3 -1 3 2 3 3 1 -2 3 2 -1 -3 3 3 -1 -2 3 2 1 -3 3 2 3 -1 3 3 2 -1 3 2 3 1 3 3 2 1 3 2 1 3 3 3 -1 2 3 2 -1 3 3 3 1 2 3 2 -3 1 3 2 -3 -1 3 3 -2 1 3 3 -2 -1 3 -1 3 -2 3 -1 2 -3 3 1 3 -2 3 1 2 -3 3 -1 -2 -3 3 -1 -3 -2 3 1 -2 -3 3 1 -3 -2 3 -3 -1 2 3 -2 1 3 3 -2 -1 3 3 -3 1 2 3 -2 -3 1 3 -2 -3 -1 3 -3 -2 1 3 -3 -2 -1 end cddlib-094g/examples-ine3d/icododeca.ine000066400000000000000000000032041206770251100202050ustar00rootroot00000000000000Icosidodecahedron % rational numbers appearing here are % -3-5^(1/2), -1-5^(1/2) and their negatives. H-representation begin 32 4 real 1 -2. -5.2360679775 0. 1 0. -2. -5.2360679775 1 0. -5.2360679775 -3.2360679775 1 0. -5.2360679775 3.2360679775 1 0. -2. 5.2360679775 1 2. -5.2360679775 0. 1 -5.2360679775 0. -2. 1 -5.2360679775 -3.2360679775 0. 1 -5.2360679775 3.2360679775 0. 1 -5.2360679775 0. 2. 1 -3.2360679775 0. -5.2360679775 1 -3.2360679775 -3.2360679775 -3.2360679775 1 -3.2360679775 3.2360679775 -3.2360679775 1 -3.2360679775 -3.2360679775 3.2360679775 1 -3.2360679775 3.2360679775 3.2360679775 1 -3.2360679775 0. 5.2360679775 1 3.2360679775 0. -5.2360679775 1 3.2360679775 -3.2360679775 -3.2360679775 1 3.2360679775 3.2360679775 -3.2360679775 1 3.2360679775 -3.2360679775 3.2360679775 1 3.2360679775 3.2360679775 3.2360679775 1 3.2360679775 0. 5.2360679775 1 5.2360679775 0. -2. 1 5.2360679775 -3.2360679775 0. 1 5.2360679775 3.2360679775 0. 1 5.2360679775 0. 2. 1 -2. 5.2360679775 0. 1 0. 2. -5.2360679775 1 0. 5.2360679775 -3.2360679775 1 0. 5.2360679775 3.2360679775 1 0. 2. 5.2360679775 1 2. 5.2360679775 0. end cddlib-094g/examples-ine3d/rcubocta.ine000066400000000000000000000007131206770251100200770ustar00rootroot00000000000000filename: rcubocta.ine Rhombicuboctahedron H-representation begin 26 4 integer 1 1 0 0 1 0 1 0 1 0 0 1 1 -1 0 0 1 0 -1 0 1 0 0 -1 2 1 1 1 2 -1 1 1 2 1 -1 1 2 1 1 -1 2 -1 -1 1 2 1 -1 -1 2 -1 1 -1 2 -1 -1 -1 3 2 2 0 3 0 2 2 3 2 0 2 3 -2 2 0 3 0 -2 2 3 2 0 -2 3 2 -2 0 3 0 2 -2 3 -2 0 2 3 -2 -2 0 3 0 -2 -2 3 -2 0 -2 end cddlib-094g/examples-ine3d/rhomtria.ine000066400000000000000000000026511206770251100201250ustar00rootroot00000000000000Rhombic Triacontahedron H-representation begin 30 4 real .1 -1.54508497e-01 5.90169944e-02 -9.54915028e-02 .1 -9.54915028e-02 1.54508497e-01 -5.90169944e-02 .1 -9.54915028e-02 1.54508497e-01 5.90169944e-02 .1 -5.90169944e-02 -9.54915028e-02 1.54508497e-01 .1 0 0 1.90983006e-01 .1 -5.90169944e-02 9.54915028e-02 1.54508497e-01 .1 0 1.90983006e-01 0 .1 9.54915028e-02 -1.54508497e-01 5.90169944e-02 .1 5.90169944e-02 -9.54915028e-02 1.54508497e-01 .1 5.90169944e-02 9.54915028e-02 -1.54508497e-01 .1 9.54915028e-02 1.54508497e-01 -5.90169944e-02 .1 1.54508497e-01 -5.90169944e-02 -9.54915028e-02 .1 1.54508497e-01 5.90169944e-02 -9.54915028e-02 .1 1.90983006e-01 0 0 .1 1.54508497e-01 5.90169944e-02 9.54915028e-02 .1 1.54508497e-01 -5.90169944e-02 9.54915028e-02 .1 9.54915028e-02 1.54508497e-01 5.90169944e-02 .1 5.90169944e-02 9.54915028e-02 1.54508497e-01 .1 5.90169944e-02 -9.54915028e-02 -1.54508497e-01 .1 9.54915028e-02 -1.54508497e-01 -5.90169944e-02 .1 0 -1.90983006e-01 0 .1 -5.90169944e-02 9.54915028e-02 -1.54508497e-01 .1 0 0 -1.90983006e-01 .1 -5.90169944e-02 -9.54915028e-02 -1.54508497e-01 .1 -1.54508497e-01 5.90169944e-02 9.54915028e-02 .1 -1.54508497e-01 -5.90169944e-02 9.54915028e-02 .1 -9.54915028e-02 -1.54508497e-01 -5.90169944e-02 .1 -9.54915028e-02 -1.54508497e-01 5.90169944e-02 .1 -1.54508497e-01 -5.90169944e-02 -9.54915028e-02 .1 -1.90983006e-01 0 0 end cddlib-094g/examples/000077500000000000000000000000001206770251100145775ustar00rootroot00000000000000cddlib-094g/examples/project1.ine000066400000000000000000000012721206770251100170250ustar00rootroot00000000000000* Try to project on (x1, x2, x3) by eliminating the last * three variables using cddlib "fourier" or "projection" programs. * The correct result is project1res.ine. H-representation begin 20 7 integer 1 0 0 0 1 0 0 1 0 0 0 0 1 0 1 0 0 0 0 0 1 1 0 0 0 -1 0 0 1 0 0 0 0 -1 0 1 0 0 0 0 0 -1 1 1 0 0 -1 0 0 1 0 1 0 0 -1 0 1 0 0 1 0 0 -1 1 -1 0 0 1 0 0 1 0 -1 0 0 1 0 1 0 0 -1 0 0 1 2 1 1 1 -1 -1 -1 2 -1 1 1 1 -1 -1 2 1 -1 1 -1 1 -1 2 1 1 -1 -1 -1 1 2 -1 -1 1 1 1 -1 2 1 -1 -1 -1 1 1 2 -1 1 -1 1 -1 1 2 -1 -1 -1 1 1 1 end project 3 1 2 3 cddlib-094g/examples/project1res.ine000066400000000000000000000003571206770251100175420ustar00rootroot00000000000000H-representation begin 14 4 integer 5 -1 -1 1 2 0 0 1 5 -1 1 1 5 1 -1 1 2 1 0 0 5 1 1 1 5 1 1 -1 5 1 -1 -1 2 0 1 0 5 -1 1 -1 2 0 0 -1 5 -1 -1 -1 2 0 -1 0 2 -1 0 0 end cddlib-094g/examples/project2.ine000066400000000000000000000035021206770251100170240ustar00rootroot00000000000000* Projection example: project2.ine * Project on the 3-space (x1, x2, x3) by eliminating the last * three variables (x4,x5,x6). The result is project2res.ine . * This appears to be a very hard example to compute by * the straighforward Fourier or Block elimination because they * generate so many redundant inequalities. H-representation begin 62 7 integer 7 0 0 0 -3 1 -2 9 0 0 0 -2 -1 -3 7 0 0 0 -2 1 -3 9 0 0 0 -3 -1 -2 3 0 0 0 -2 3 -1 1 0 0 0 -2 3 1 5 0 0 0 -3 2 -1 3 0 0 0 -3 2 1 3 0 0 0 1 -3 2 1 0 0 0 1 -2 3 5 0 0 0 -1 -3 2 3 0 0 0 -1 -2 3 -3 0 0 0 1 2 3 -3 0 0 0 1 3 2 -1 0 0 0 -1 2 3 -1 0 0 0 -1 3 2 1 0 0 0 3 1 -2 5 0 0 0 2 -1 -3 3 0 0 0 3 -1 -2 3 0 0 0 2 1 -3 -1 0 0 0 2 3 -1 -1 0 0 0 3 2 -1 -3 0 0 0 2 3 1 -3 0 0 0 3 2 1 -3 0 0 0 2 1 3 -1 0 0 0 3 -1 2 -1 0 0 0 2 -1 3 -3 0 0 0 3 1 2 3 0 0 0 2 -3 1 5 0 0 0 2 -3 -1 1 0 0 0 3 -2 1 3 0 0 0 3 -2 -1 3 0 0 0 -1 3 -2 5 0 0 0 -1 2 -3 1 0 0 0 1 3 -2 3 0 0 0 1 2 -3 9 0 0 0 -1 -2 -3 9 0 0 0 -1 -3 -2 7 0 0 0 1 -2 -3 7 0 0 0 1 -3 -2 5 0 0 0 -3 -1 2 1 0 0 0 -2 1 3 3 0 0 0 -2 -1 3 3 0 0 0 -3 1 2 7 0 0 0 -2 -3 1 9 0 0 0 -2 -3 -1 7 0 0 0 -3 -2 1 9 0 0 0 -3 -2 -1 0 1 0 0 -1 0 0 0 0 1 0 0 -1 0 0 0 0 1 0 0 -1 2 -1 0 0 1 0 0 2 0 -1 0 0 1 0 2 0 0 -1 0 0 1 -1 1 1 1 -1 -1 -1 1 -1 1 1 1 -1 -1 1 1 -1 1 -1 1 -1 1 1 1 -1 -1 -1 1 3 -1 -1 1 1 1 -1 3 1 -1 -1 -1 1 1 3 -1 1 -1 1 -1 1 5 -1 -1 -1 1 1 1 end project 3 1 2 3 cddlib-094g/examples/project2res.ine000066400000000000000000000024431206770251100175410ustar00rootroot00000000000000H-representation begin 86 4 integer 9 -2 1 -1 16 -3 1 -2 20 -3 -1 -2 12 -3 2 -1 8 -3 2 1 8 -2 -1 3 4 -2 1 3 8 -2 3 -1 4 -2 3 1 9 -1 -2 1 11 -2 -2 2 5 -1 -1 2 1 -1 1 2 3 -2 2 2 1 -1 2 1 4 0 0 -1 0 0 1 0 8 -1 -2 3 12 -1 -3 2 0 -1 2 3 0 -1 3 2 5 1 -2 1 8 1 -3 2 4 1 -2 3 1 1 -1 2 -3 1 1 2 -4 1 2 3 -4 1 3 2 -3 1 2 1 3 2 -2 2 -5 2 2 2 8 2 1 -3 12 2 -1 -3 0 2 3 -1 -4 2 3 1 1 2 -1 1 4 3 -2 1 0 3 -1 2 -3 2 1 1 -4 3 1 2 -4 3 2 1 0 1 0 0 0 3 2 -1 4 3 1 -2 1 2 1 -1 8 3 -1 -2 8 3 -2 -1 5 2 -1 -1 0 2 -1 3 -4 2 1 3 8 2 -3 1 12 2 -3 -1 3 2 2 -2 11 2 -2 -2 1 1 2 -1 4 1 3 -2 8 1 2 -3 5 1 1 -2 9 1 -1 -2 16 1 -2 -3 16 1 -3 -2 9 1 -2 -1 12 -1 2 -3 8 -1 3 -2 20 -1 -2 -3 20 -1 -3 -2 0 0 0 1 4 0 -1 0 5 -1 2 -1 11 -2 2 -2 9 -1 1 -2 13 -1 -1 -2 19 -2 -2 -2 13 -1 -2 -1 16 -2 1 -3 20 -2 -1 -3 16 -2 -3 1 20 -2 -3 -1 12 -3 -1 2 8 -3 1 2 5 -2 1 1 16 -3 -2 1 20 -3 -2 -1 9 -2 -1 1 13 -2 -1 -1 4 -1 0 0 end cddlib-094g/examples/redcheck.ext000066400000000000000000000001341206770251100170670ustar00rootroot00000000000000V-representation begin 7 3 integer 1 0 0 1 2 0 1 0 2 1 1 1 1 2 1 1 1 2 1 2 2 end cddlib-094g/examples/sample.ine000066400000000000000000000002551206770251100165570ustar00rootroot00000000000000* file name: sample.ine * 3-cube H-representation begin 6 4 rational 10/3 1 0 0 10/3 0 1 0 10/3 0 0 1 10/3 -1 0 0 10/3 0 -1 0 10/3 0 0 -1 end cddlib-094g/examples/sampleh1.ine000066400000000000000000000002371206770251100170100ustar00rootroot00000000000000* file name: sampleh1.ine * a 3-D cone containing no vertices and a line H-representation begin 3 4 integer 2 -1 -1 0 0 1 0 0 0 0 1 0 end cddlib-094g/examples/sampleh2.ine000066400000000000000000000002001206770251100167770ustar00rootroot00000000000000* file name: sampleh2.ine * a hyperplane with no vertices and rays H-representation begin 1 4 integer -1 0 0 1 end cddlib-094g/examples/sampleh3.ine000066400000000000000000000002161206770251100170070ustar00rootroot00000000000000* file name: sampleh3.ine * a 3-D homogeneous cone with no vertices H-representation begin 2 4 integer 0 1 1 0 0 0 1 0 end cddlib-094g/examples/sampleh4.ine000066400000000000000000000003171206770251100170120ustar00rootroot00000000000000* File name: sampleh4.ine * trivial inequalities: the polyhedron is the whole space. H-representation begin 6 4 integer 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 end cddlib-094g/examples/sampleh5.ine000066400000000000000000000003331206770251100170110ustar00rootroot00000000000000* file name: sampleh5.ine * test file for redundancy removal H-representation linearity 1 3 begin 8 4 integer 0 1 0 0 0 0 1 0 0 0 0 1 1 -1 -1 -1 1 -1 -1 0 1 0 -1 -1 1 -1 0 -1 2 -1 -1 -1 end cddlib-094g/examples/sampleh6.ine000066400000000000000000000002601206770251100170110ustar00rootroot00000000000000* file name: sampleh6.ine * test file for forced-equality checking H-representation begin 5 4 integer 0 1 0 0 0 0 1 0 0 0 0 1 1 -1 -1 -1 -1 1 1 0 end cddlib-094g/examples/sampleh7.ine000066400000000000000000000004401206770251100170120ustar00rootroot00000000000000* test file for redundancy removal * the redundant rows are * 3 4 5 9 10 * LP type = 1 Seed = 123 H-representation begin 10 3 integer 0 1 0 0 0 1 -10000 651 693 -10000 697 637 -10000 368 824 -10000 87 725 -10000 387 219 -10000 430 202 -10000 356 988 -10000 674 979 end cddlib-094g/examples/sampleh8.ine000066400000000000000000000104101206770251100170110ustar00rootroot00000000000000* test file for redundancy removal * the redundant rows are * 10 11 12 14 21 23 26 32 39 40 41 44 46 * 50 51 54 56 57 59 62 63 64 69 76 77 78 * 79 83 84 85 87 88 91 94 97 * LP type = 1 Seed = 123 H-representation begin 100 10 integer 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 -10000 651 693 84 697 637 340 368 824 663 -10000 725 742 387 219 751 430 202 745 356 -10000 377 674 979 167 815 988 412 676 475 -10000 710 275 949 284 629 1 422 974 510 -10000 692 945 725 488 271 430 724 225 726 -10000 465 258 450 343 87 168 161 103 919 -10000 86 79 656 493 832 514 791 506 29 -10000 63 630 874 918 877 272 992 119 480 -10000 598 926 42 378 288 66 927 919 99 -10000 256 354 106 979 641 160 395 225 837 -10000 202 388 900 471 160 751 300 731 818 -10000 342 502 825 563 639 261 194 984 990 -10000 266 406 364 216 448 675 145 694 866 -10000 362 983 732 378 134 902 946 877 205 -10000 926 125 949 888 234 630 275 707 67 -10000 634 81 192 768 652 822 311 961 895 -10000 983 597 743 314 696 585 367 396 826 -10000 511 545 539 97 111 996 477 35 372 -10000 474 103 152 753 159 120 929 161 563 -10000 549 793 307 456 444 184 149 792 894 -10000 839 488 917 192 168 788 959 245 25 -10000 750 165 338 182 392 381 962 117 713 -10000 738 827 943 507 914 814 951 663 815 -10000 493 339 225 351 450 788 992 167 792 -10000 174 773 247 247 180 517 445 599 596 -10000 303 26 967 39 535 4 7 335 217 -10000 772 173 189 291 668 191 610 677 544 -10000 848 642 40 125 865 100 259 534 648 -10000 501 622 398 624 118 416 30 17 236 -10000 218 602 697 892 322 314 361 573 985 -10000 958 856 608 492 563 478 311 614 740 -10000 582 913 938 949 715 338 39 726 998 -10000 521 805 708 221 624 316 24 127 322 -10000 491 189 412 774 418 200 193 633 315 -10000 144 679 383 447 989 939 441 631 482 -10000 940 241 153 215 149 457 254 207 125 -10000 80 873 207 904 684 600 940 431 825 -10000 75 100 353 637 432 377 940 758 164 -10000 627 721 915 710 8 786 96 17 576 -10000 247 104 607 432 540 164 597 282 317 -10000 553 787 881 942 152 318 44 509 518 -10000 181 772 942 993 916 900 713 694 812 -10000 625 26 638 261 385 196 676 717 572 -10000 11 911 296 761 658 631 757 817 400 -10000 964 989 879 491 490 751 490 97 405 -10000 28 461 343 452 480 504 411 242 892 -10000 768 746 347 352 724 487 185 767 287 -10000 924 228 958 554 352 460 765 742 430 -10000 737 986 499 993 721 29 821 416 813 -10000 483 458 249 781 584 321 779 209 570 -10000 222 166 975 53 765 256 859 469 164 -10000 82 696 181 166 375 145 415 496 261 -10000 540 309 526 918 439 489 846 417 775 -10000 699 145 327 873 467 866 711 393 603 -10000 445 668 729 224 654 970 279 789 680 -10000 28 659 365 306 186 520 427 176 191 -10000 919 58 859 436 105 35 560 716 14 -10000 641 238 340 524 205 255 272 14 472 -10000 817 22 904 782 573 847 649 100 280 -10000 925 277 930 495 736 960 276 726 657 -10000 336 54 357 979 941 765 593 630 286 -10000 65 113 104 915 222 158 580 520 188 -10000 42 617 904 414 588 857 416 94 988 -10000 716 49 849 67 607 99 934 184 217 -10000 458 32 500 552 108 980 255 998 935 -10000 860 936 115 268 231 281 948 209 766 -10000 293 330 940 570 857 421 574 481 364 -10000 959 949 372 757 306 757 752 312 137 -10000 769 303 737 260 187 695 946 723 433 -10000 980 564 605 363 776 893 558 616 603 -10000 945 23 632 820 54 677 795 616 625 -10000 629 692 585 33 674 703 304 489 949 -10000 52 903 723 746 692 232 917 933 211 -10000 367 566 364 318 607 818 424 234 605 -10000 915 305 354 829 469 447 925 188 799 -10000 387 596 946 888 751 614 539 295 299 -10000 969 902 10 739 289 923 808 28 151 -10000 537 152 546 442 182 301 258 265 762 -10000 671 288 343 199 694 391 457 947 250 -10000 415 734 423 435 696 111 53 227 784 -10000 800 992 720 76 40 419 608 182 683 -10000 619 627 278 526 453 960 772 992 86 -10000 836 623 0 21 371 4 676 964 658 -10000 258 677 64 968 62 219 587 308 299 -10000 224 823 258 449 575 526 908 585 405 -10000 593 660 663 341 36 79 50 242 293 -10000 80 761 270 460 82 133 874 559 41 -10000 169 539 257 827 222 743 873 929 523 -10000 403 167 259 377 76 160 749 448 902 -10000 290 5 276 509 342 909 193 443 552 -10000 928 326 757 405 598 765 143 833 150 end cddlib-094g/examples/samplelp.ine000066400000000000000000000020771206770251100171170ustar00rootroot00000000000000* Rational LP data H-representation begin 20 5 rational 0 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 1 0 3008 20980 -97775 -101225 0 3985 25643 -135871 -130580 0 4324 26978 -133655 -168473 0 3534 25361 -46243 -100407 0 8836 40796 -176661 -215616 0 5376 37562 -182576 -217615 0 4982 33088 -98880 -167278 0 4775 39122 -136701 -193393 0 8046 42958 -225138 -256575 0 8554 48955 -257370 -312877 0 6147 45514 -165274 -227099 0 8366 55140 -203989 -321623 0 13479 68037 -174270 -341743 0 21808 78302 -322990 -487539 1 -8554/10000 -48955/10000 0 0 1 0 0 -257370/10000 -312877/10000 end maximize 0 1 1/2 1/3 1/4 debug cddlib-094g/examples/samplelp.testlp1_gmp_output000066400000000000000000000066051206770251100222240ustar00rootroot00000000000000lsne-2-240% testlp1_gmp >> Input file: samplelp.ine input file samplelp.ine is open size = 20 x 5 Number Type = rational H-representation begin 20 5 rational 0 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 1 0 3008 20980 -97775 -101225 0 3985 25643 -135871 -130580 0 4324 26978 -133655 -168473 0 3534 25361 -46243 -100407 0 8836 40796 -176661 -215616 0 5376 37562 -182576 -217615 0 4982 33088 -98880 -167278 0 4775 39122 -136701 -193393 0 8046 42958 -225138 -256575 0 8554 48955 -257370 -312877 0 6147 45514 -165274 -227099 0 8366 55140 -203989 -321623 0 13479 68037 -174270 -341743 0 21808 78302 -322990 -487539 1 -4277/5000 -9791/2000 0 0 1 0 0 -25737/1000 -312877/10000 end --- Running dd_LPSolve --- * cdd LP solver result * cdd: a double description code:Version 0.90gmp (May 19, 2000) * compiled for GMP rational arithmetic. * Copyright (C) 1996, Komei Fukuda, fukuda@ifor.math.ethz.ch * #constraints = 20 * #variables = 4 * Algorithm: dual simplex algorithm * maximization is chosen * Objective function is 0 + 1 X[ 1] + 1/2 X[ 2] + 1/3 X[ 3] + 1/4 X[ 4] * LP status: a dual pair (x,y) of optimal solutions found. begin primal_solution 1 : 5000/4277 2 : 0 3 : 19925000/581120267 4 : 0 dual_solution 6 : 1/407613 2 : 18187069067/3486721602 19 : 2057990000/1743360801 4 : 114707/1630452 optimal_value : 2057990000/1743360801 end * number of pivot operations = 10 (ph0 = 4, ph1 = 3, ph2 = 3, ph3 = 0) *Computation starts at Sun May 21 23:30:19 2000 * terminates at Sun May 21 23:30:19 2000 *Total processor time = 0 seconds * = 0 h 0 m 0 s (Iter, #Row, #Total, #Curr, Feas)= 6 5 9 7 3 (Iter, #Row, #Total, #Curr, Feas)= 7 8 9 7 3 (Iter, #Row, #Total, #Curr, Feas)= 8 6 14 9 5 (Iter, #Row, #Total, #Curr, Feas)= 9 7 18 9 5 (Iter, #Row, #Total, #Curr, Feas)= 10 12 21 11 6 (Iter, #Row, #Total, #Curr, Feas)= 11 11 21 11 6 (Iter, #Row, #Total, #Curr, Feas)= 12 10 26 13 10 (Iter, #Row, #Total, #Curr, Feas)= 13 15 26 13 10 (Iter, #Row, #Total, #Curr, Feas)= 14 13 29 15 10 (Iter, #Row, #Total, #Curr, Feas)= 15 16 29 15 10 (Iter, #Row, #Total, #Curr, Feas)= 16 14 34 15 15 All the vertices of the feasible region. V-representation begin 15 5 rational 1 0 2000/9791 0 0 1 5000/4277 0 0 0 1 0 2000/9791 51286000/1330312961 0 1 5000/4277 0 19925000/581120267 0 1 5000/4277 0 0 23875000/827141861 1 5000/4277 0 12707515000/376823017893 2877136000/4898699232609 1 1143413390000/1409570226171 88141030000/1409570226171 0 43460900000/1409570226171 1 5000/4277 0 2845715000/23783251846081 52652240000/1829480911237 1 12493061640000/10714427322421 5691430000/10714427322421 0 309613220000/10714427322421 1 0 2000/9791 0 10000/312877 1 241499988750/746539852973 2346752500/15883826659 0 10000/312877 1 127276149881465000/245208557641088631 27849359418340000/245208557641088631 6956201331595000/245208557641088631 705035354360000/81736185880362877 1 15266257972352500/27738073472746771 2998532612235000/27738073472746771 497786252410000/27738073472746771 1279018810000/74364808237927 1 0 2000/9791 3261122022000/87174523590197 103651790000/87174523590197 1 0 0 0 0 end cddlib-094g/examples/samplelp.testlp1_output000066400000000000000000000066031206770251100213570ustar00rootroot00000000000000lsne-2-240% testlp1 >> Input file: samplelp.ine input file samplelp.ine is open size = 20 x 5 Number Type = rational H-representation begin 20 5 real 0 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 1 0 3008 20980 -97775 -101225 0 3985 25643 -135871 -130580 0 4324 26978 -133655 -168473 0 3534 25361 -46243 -100407 0 8836 40796 -176661 -2.156160000E+05 0 5376 37562 -182576 -2.176150000E+05 0 4982 33088 -98880 -167278 0 4775 39122 -136701 -193393 0 8046 42958 -2.251380000E+05 -2.565750000E+05 0 8554 48955 -2.573700000E+05 -3.128770000E+05 0 6147 45514 -165274 -2.270990000E+05 0 8366 55140 -203989 -3.216230000E+05 0 13479 68037 -174270 -3.417430000E+05 0 21808 78302 -3.229900000E+05 -4.875390000E+05 1 -8.554000000E-01 -4.895500000E+00 0 0 1 0 0 -2.573700000E+01 -3.128770000E+01 end --- Running dd_LPSolve --- * cdd LP solver result * cdd: a double description code:Version 0.90gmp (May 19, 2000) * compiled for C double arithmetic. * Copyright (C) 1996, Komei Fukuda, fukuda@ifor.math.ethz.ch * #constraints = 20 * #variables = 4 * Algorithm: dual simplex algorithm * maximization is chosen * Objective function is 0 + 1 X[ 1] + 5.000000000E-01 X[ 2] + 3.333333333E-01 X[ 3] + 2.500000000E-01 X[ 4] * LP status: a dual pair (x,y) of optimal solutions found. begin primal_solution 1 : 1.169043722E+00 2 : 0 3 : 3.428722268E-02 4 : 0 dual_solution 6 : 0 2 : 5.216094413E+00 19 : 1.180472796E+00 4 : 7.035288374E-02 optimal_value : 1.180472796E+00 end * number of pivot operations = 10 (ph0 = 4, ph1 = 3, ph2 = 3, ph3 = 0) *Computation starts at Sun May 21 23:27:48 2000 * terminates at Sun May 21 23:27:48 2000 *Total processor time = 0 seconds * = 0 h 0 m 0 s (Iter, #Row, #Total, #Curr, Feas)= 6 5 9 7 3 (Iter, #Row, #Total, #Curr, Feas)= 7 8 9 7 3 (Iter, #Row, #Total, #Curr, Feas)= 8 6 14 9 5 (Iter, #Row, #Total, #Curr, Feas)= 9 7 18 9 5 (Iter, #Row, #Total, #Curr, Feas)= 10 12 21 11 6 (Iter, #Row, #Total, #Curr, Feas)= 11 11 21 11 6 (Iter, #Row, #Total, #Curr, Feas)= 12 10 26 13 10 (Iter, #Row, #Total, #Curr, Feas)= 13 15 26 13 10 (Iter, #Row, #Total, #Curr, Feas)= 14 13 29 15 10 (Iter, #Row, #Total, #Curr, Feas)= 15 16 29 15 10 (Iter, #Row, #Total, #Curr, Feas)= 16 14 34 15 15 All the vertices of the feasible region. V-representation begin 15 5 real 1 0 2.042692268E-01 0 0 1 1.169043722E+00 0 0 0 1 0 2.042692268E-01 3.855183066E-02 0 1 1.169043722E+00 0 3.428722268E-02 0 1 1.169043722E+00 0 0 2.886445618E-02 1 1.169043722E+00 0 3.372276744E-02 5.873265255E-04 1 8.111787329E-01 6.253042833E-02 0 3.083273128E-02 1 1.169043722E+00 0 1.196520568E-04 2.877987941E-02 1 1.166003676E+00 5.311931127E-04 0 2.889685194E-02 1 0 2.042692268E-01 0 3.196144172E-02 1 3.234924268E-01 1.477447816E-01 0 3.196144172E-02 1 5.190526428E-01 1.135741741E-01 2.836850964E-02 8.625743259E-03 1 5.503719639E-01 1.081016897E-01 1.794595623E-02 1.719924841E-02 1 0 2.042692268E-01 3.740911780E-02 1.189014700E-03 1 0 0 0 0 end cddlib-094g/examples/samplelp1.ine000066400000000000000000000002571206770251100171760ustar00rootroot00000000000000* file name: samplelp1.ine * LP H-representation begin 6 4 integer 1 1 0 0 1 0 1 0 1 0 0 1 1 -1 0 0 1 0 -1 0 1 0 0 -1 end maximize 0 1 1 1 cddlib-094g/examples/samplelp2.ine000066400000000000000000000002771206770251100172010ustar00rootroot00000000000000* file name: samplelp2.ine * LP H-representation linearity 2 3 4 begin 4 5 rational 0 1 1 0 0 0 0 2 0 0 3 0 -1 0 0 9/2 0 0 -1 -1 end minimize 0 2 3/5 0 0 cddlib-094g/examples/samplelp3.ine000066400000000000000000000144441206770251100172030ustar00rootroot00000000000000* file name: samplelp3.ine * LP given by floating-point real numbers H-representation begin 120 5 real 2.618033989E+00 1 0 0 0 8.472135943E+00 2.618033984E+00 1.618033988E+00 -1 0 8.472135943E+00 2.618033984E+00 1.618033988E+00 1 0 8.472135945E+00 2.618033984E+00 1 0 1.618033990E+00 8.472135945E+00 2.618033984E+00 1 0 -1.618033990E+00 8.472135946E+00 2.618033985E+00 0 1.618033990E+00 1 8.472135946E+00 2.618033985E+00 0 1.618033990E+00 -1 8.472135946E+00 2.618033985E+00 0 -1.618033990E+00 1 8.472135946E+00 2.618033985E+00 0 -1.618033990E+00 -1 8.472135960E+00 2.618033990E+00 -1 0 1.618033991E+00 8.472135954E+00 2.618033988E+00 -1 0 -1.618033990E+00 8.472135941E+00 2.618033984E+00 -1.618033987E+00 1 0 8.472135946E+00 2.618033984E+00 -1.618033992E+00 -1 0 8.472135966E+00 1.618033989E+00 2.618033995E+00 0 1 8.472135966E+00 1.618033989E+00 2.618033995E+00 0 -1 5.236067982E+00 1 1 1 1 5.236067982E+00 1 1 1 -1 5.236067980E+00 1 1 -1 1 5.236067980E+00 1 1 -1 -1 8.472135941E+00 1.618033989E+00 1 2.618033982E+00 0 8.472135936E+00 1.618033985E+00 1 -2.618033983E+00 0 8.472135965E+00 1.618033992E+00 0 1 2.618033991E+00 8.472135965E+00 1.618033992E+00 0 1 -2.618033991E+00 8.472135967E+00 1.618033992E+00 0 -1 2.618033993E+00 8.472135967E+00 1.618033992E+00 0 -1 -2.618033993E+00 8.472135996E+00 1.618034002E+00 -1 2.618033998E+00 0 8.472135985E+00 1.618033997E+00 -1 -2.618033998E+00 0 5.236067982E+00 1 -1 1 1 5.236067987E+00 1 -1 1 -1 5.236067983E+00 1 -1 -1 1 5.236067984E+00 1 -1 -1 -1 8.472135981E+00 1.618033999E+00 -2.618033991E+00 0 1 8.472135972E+00 1.618033998E+00 -2.618033988E+00 0 -1 8.472135864E+00 1 2.618033957E+00 1.618033969E+00 0 8.472135874E+00 1 2.618033960E+00 -1.618033969E+00 0 8.472135841E+00 1 1.618033964E+00 0 2.618033948E+00 8.472135864E+00 1 1.618033970E+00 0 -2.618033956E+00 8.472135865E+00 1 0 2.618033957E+00 1.618033968E+00 8.472135880E+00 1 0 2.618033963E+00 -1.618033971E+00 8.472135921E+00 1 0 -2.618033977E+00 1.618033982E+00 8.472135936E+00 1 0 -2.618033982E+00 -1.618033984E+00 8.472135950E+00 1 -1.618033984E+00 0 2.618033987E+00 8.472135975E+00 1 -1.618033991E+00 0 -2.618033996E+00 8.472135940E+00 1 -2.618033980E+00 1.618033987E+00 0 8.472135918E+00 1 -2.618033977E+00 -1.618033979E+00 0 2.618033992E+00 0 1 0 0 8.472135970E+00 0 2.618033994E+00 1 1.618033987E+00 8.472135966E+00 0 2.618033993E+00 1 -1.618033986E+00 8.472135969E+00 0 2.618033993E+00 -1 1.618033989E+00 8.472135965E+00 0 2.618033993E+00 -1 -1.618033988E+00 8.472135978E+00 0 1.618033994E+00 2.618033994E+00 1 8.472136017E+00 0 1.618034002E+00 2.618034006E+00 -1 8.472135962E+00 0 1.618033993E+00 -2.618033988E+00 1 8.472135995E+00 0 1.618033999E+00 -2.618033998E+00 -1 8.472135946E+00 0 1 1.618033984E+00 2.618033986E+00 8.472135944E+00 0 1 1.618033985E+00 -2.618033986E+00 8.472135922E+00 0 1 -1.618033980E+00 2.618033979E+00 2.618033990E+00 0 0 0 1 8.472135919E+00 0 1 -1.618033980E+00 -2.618033979E+00 2.618033989E+00 0 0 0 -1 2.618033988E+00 0 0 1 0 2.618033987E+00 0 0 -1 0 8.472135960E+00 0 -1 1.618033993E+00 2.618033991E+00 8.472135908E+00 0 -1.618033977E+00 2.618033974E+00 1 8.472135958E+00 0 -1 1.618033994E+00 -2.618033991E+00 8.472135901E+00 0 -1.618033978E+00 2.618033974E+00 -1 8.472135954E+00 0 -1 -1.618033990E+00 2.618033990E+00 8.472135908E+00 0 -1.618033976E+00 -2.618033974E+00 1 8.472135952E+00 0 -1 -1.618033991E+00 -2.618033990E+00 8.472135907E+00 0 -1.618033978E+00 -2.618033975E+00 -1 8.472135946E+00 0 -2.618033995E+00 1 1.618033991E+00 8.472135953E+00 0 -2.618033995E+00 -1 1.618033994E+00 8.472135953E+00 0 -2.618033998E+00 1 -1.618033992E+00 8.472135955E+00 0 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13 802 917 768 864 375 759 492 end maximize 0 10000 10000 10000 10000 10000 10000 -10000 -10000 -10000 !adjacency cddlib-094g/examples/samplev1.ext000066400000000000000000000002241206770251100170470ustar00rootroot00000000000000* file name: libtesta.ext * a 1-D cone in 3D space V-representation begin 2 4 integer 1 1 0 1 0 0 1 0 end incidence adjacency cddlib-094g/examples/samplev2.ext000066400000000000000000000002611206770251100170510ustar00rootroot00000000000000* file name: libtestb.ext * a 1-D cone in 3D space without any vertices V-representation begin 3 4 integer 0 0 0 1 1 1 0 0 0 1 -1 0 end linearity 1 3 cddlib-094g/examples/samplev3.ext000066400000000000000000000003211206770251100170470ustar00rootroot00000000000000* test file for redundancy removal * the redundant rows: 2 4 5 6 7 * the implicit linearities : 8 9 V-representation begin 9 3 integer 1 0 0 1 2 0 1 0 2 1 1 1 1 2 1 1 1 2 1 2 2 0 1 0 0 -1 0 end 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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. nl=' ' IFS=" "" $nl" # set DOITPROG to echo to test this script # Don't use :- since 4.3BSD and earlier shells don't like it. doit=${DOITPROG-} if test -z "$doit"; then doit_exec=exec else doit_exec=$doit fi # 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=${STRIPPROG-strip} posix_glob='?' initialize_posix_glob=' test "$posix_glob" != "?" || { if (set -f) 2>/dev/null; then posix_glob= else posix_glob=: fi } ' 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 no_target_directory= usage="\ Usage: $0 [OPTION]... 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Please read COPYING (GNU General Public Licence) and the manual cddlibman.tex for detail. */ #ifndef __CDD_HF #define __CDD_HF #endif /* __CDD_HF */ #ifndef _CDDMP_HF #include "cddmp_f.h" #endif /* _CDDMP_HF */ #ifndef _CDDTYPES_HF #include "cddtypes_f.h" #endif /* _CDDTYPES_HF */ #ifdef ddf_GMPRATIONAL #ifndef __CDD_HF #include "cdd_f.h" #endif #endif /* GLOBAL CONSTANTS and STATISTICS VARIABLES (to be set by ddf_set_global_constants() */ extern myfloat ddf_zero; extern myfloat ddf_one; extern myfloat ddf_purezero; extern myfloat ddf_minuszero; extern myfloat ddf_minusone; extern time_t ddf_statStartTime; /* cddlib starting time */ extern long ddf_statBApivots; /* basis finding pivots */ extern long ddf_statCCpivots; /* criss-cross pivots */ extern long ddf_statDS1pivots; /* phase 1 pivots */ extern long ddf_statDS2pivots; /* phase 2 pivots */ extern long ddf_statACpivots; /* anticycling (cc) pivots */ #ifdef ddf_GMPRATIONAL extern long ddf_statBSpivots; /* basis status checking pivots */ #endif extern ddf_LPSolverType ddf_choiceLPSolverDefault; /* Default LP solver Algorithm */ extern ddf_LPSolverType ddf_choiceRedcheckAlgorithm; /* Redundancy Checking Algorithm */ extern ddf_boolean ddf_choiceLexicoPivotQ; /* whether to use the lexicographic pivot */ /* to be used to avoid creating temporary spaces for myfloat */ #define ddf_almostzero 1.0E-7 /* ---------- FUNCTIONS MEANT TO BE PUBLIC ---------- */ #if defined(__cplusplus) extern "C" { #endif /* basic matrix manipulations */ void ddf_InitializeArow(ddf_colrange,ddf_Arow *); void ddf_InitializeAmatrix(ddf_rowrange,ddf_colrange,ddf_Amatrix *); void ddf_InitializeBmatrix(ddf_colrange, ddf_Bmatrix *); ddf_SetFamilyPtr ddf_CreateSetFamily(ddf_bigrange,ddf_bigrange); void ddf_FreeSetFamily(ddf_SetFamilyPtr); ddf_MatrixPtr ddf_CreateMatrix(ddf_rowrange,ddf_colrange); void ddf_FreeAmatrix(ddf_rowrange,ddf_colrange,ddf_Amatrix); void ddf_FreeArow(ddf_colrange, ddf_Arow); void ddf_FreeBmatrix(ddf_colrange,ddf_Bmatrix); void ddf_FreeDDMemory(ddf_PolyhedraPtr); void ddf_FreePolyhedra(ddf_PolyhedraPtr); void ddf_FreeMatrix(ddf_MatrixPtr); void ddf_SetToIdentity(ddf_colrange, ddf_Bmatrix); /* sign recognitions */ ddf_boolean ddf_Nonnegative(myfloat); ddf_boolean ddf_Nonpositive(myfloat); ddf_boolean ddf_Positive(myfloat); ddf_boolean ddf_Negative(myfloat); ddf_boolean ddf_EqualToZero(myfloat); ddf_boolean ddf_Nonzero(myfloat); ddf_boolean ddf_Equal(myfloat,myfloat); ddf_boolean ddf_Larger(myfloat,myfloat); ddf_boolean ddf_Smaller(myfloat,myfloat); void ddf_abs(myfloat, myfloat); void ddf_LinearComb(myfloat, myfloat, myfloat, myfloat, myfloat); void ddf_InnerProduct(myfloat, ddf_colrange, ddf_Arow, ddf_Arow); /* major cddlib operations */ ddf_MatrixPtr ddf_CopyInput(ddf_PolyhedraPtr); ddf_MatrixPtr ddf_CopyOutput(ddf_PolyhedraPtr); ddf_MatrixPtr ddf_CopyInequalities(ddf_PolyhedraPtr); ddf_MatrixPtr ddf_CopyGenerators(ddf_PolyhedraPtr); ddf_SetFamilyPtr ddf_CopyIncidence(ddf_PolyhedraPtr); ddf_SetFamilyPtr ddf_CopyAdjacency(ddf_PolyhedraPtr); ddf_SetFamilyPtr ddf_CopyInputIncidence(ddf_PolyhedraPtr); ddf_SetFamilyPtr ddf_CopyInputAdjacency(ddf_PolyhedraPtr); ddf_boolean ddf_DDFile2File(char *ifile, char *ofile, ddf_ErrorType *err); ddf_boolean ddf_DDInputAppend(ddf_PolyhedraPtr*, ddf_MatrixPtr, ddf_ErrorType*); ddf_MatrixPtr ddf_PolyFile2Matrix(FILE *f, ddf_ErrorType *); ddf_PolyhedraPtr ddf_DDMatrix2Poly(ddf_MatrixPtr, ddf_ErrorType *); ddf_PolyhedraPtr ddf_DDMatrix2Poly2(ddf_MatrixPtr, ddf_RowOrderType, ddf_ErrorType *); ddf_boolean ddf_Redundant(ddf_MatrixPtr, ddf_rowrange, ddf_Arow, ddf_ErrorType *); /* 092 */ ddf_rowset ddf_RedundantRows(ddf_MatrixPtr, ddf_ErrorType *); /* 092 */ ddf_boolean ddf_SRedundant(ddf_MatrixPtr, ddf_rowrange, ddf_Arow, ddf_ErrorType *); /* 093a */ ddf_rowset ddf_SRedundantRows(ddf_MatrixPtr, ddf_ErrorType *); /* 093a */ ddf_rowset ddf_RedundantRowsViaShooting(ddf_MatrixPtr, ddf_ErrorType *); /* 092 */ ddf_rowrange ddf_RayShooting(ddf_MatrixPtr, ddf_Arow intpt, ddf_Arow direction); /* 092 */ /* 092, find the first inequality "hit" by a ray from an intpt. */ ddf_boolean ddf_ImplicitLinearity(ddf_MatrixPtr, ddf_rowrange, ddf_Arow, ddf_ErrorType *); /* 092 */ ddf_rowset ddf_ImplicitLinearityRows(ddf_MatrixPtr, ddf_ErrorType *); /* 092 */ int ddf_FreeOfImplicitLinearity(ddf_MatrixPtr, ddf_Arow, ddf_rowset *, ddf_ErrorType *) ; /* 094 */ ddf_boolean ddf_MatrixCanonicalizeLinearity(ddf_MatrixPtr *, ddf_rowset *,ddf_rowindex *, ddf_ErrorType *); /* 094 */ ddf_boolean ddf_MatrixCanonicalize(ddf_MatrixPtr *, ddf_rowset *, ddf_rowset *, ddf_rowindex *, ddf_ErrorType *); /* 094 */ ddf_boolean ddf_MatrixRedundancyRemove(ddf_MatrixPtr *M, ddf_rowset *redset,ddf_rowindex *newpos, ddf_ErrorType *); /* 094 */ ddf_boolean ddf_FindRelativeInterior(ddf_MatrixPtr, ddf_rowset *, ddf_rowset *, ddf_LPSolutionPtr *, ddf_ErrorType *); /* 094 */ ddf_boolean ddf_ExistsRestrictedFace(ddf_MatrixPtr, ddf_rowset, ddf_rowset, ddf_ErrorType *); /* 0.94 */ ddf_boolean ddf_ExistsRestrictedFace2(ddf_MatrixPtr, ddf_rowset, ddf_rowset, ddf_LPSolutionPtr *, ddf_ErrorType *); /* 0.94 */ ddf_SetFamilyPtr ddf_Matrix2Adjacency(ddf_MatrixPtr, ddf_ErrorType *); /* 093 */ ddf_SetFamilyPtr ddf_Matrix2WeakAdjacency(ddf_MatrixPtr, ddf_ErrorType *); /* 093a */ long ddf_MatrixRank(ddf_MatrixPtr, ddf_rowset, ddf_colset, ddf_rowset *, ddf_colset *); /* Matrix Basic Operations */ ddf_MatrixPtr ddf_MatrixCopy(ddf_MatrixPtr); /* a new name for ddf_CopyMatrix */ ddf_MatrixPtr ddf_CopyMatrix(ddf_MatrixPtr); /* 090c, kept for compatibility */ ddf_MatrixPtr ddf_MatrixNormalizedCopy(ddf_MatrixPtr); /* 094 */ ddf_MatrixPtr ddf_MatrixNormalizedSortedCopy(ddf_MatrixPtr,ddf_rowindex*); /* 094 */ ddf_MatrixPtr ddf_MatrixUniqueCopy(ddf_MatrixPtr,ddf_rowindex*); /* 094 */ ddf_MatrixPtr ddf_MatrixNormalizedSortedUniqueCopy(ddf_MatrixPtr,ddf_rowindex*); /* 094 */ ddf_MatrixPtr ddf_MatrixSortedUniqueCopy(ddf_MatrixPtr,ddf_rowindex*); /* 094 */ ddf_MatrixPtr ddf_MatrixAppend(ddf_MatrixPtr, ddf_MatrixPtr); /* a name for ddf_AppendMatrix */ ddf_MatrixPtr ddf_AppendMatrix(ddf_MatrixPtr, ddf_MatrixPtr); /* 090c, kept for compatibility */ int ddf_MatrixAppendTo(ddf_MatrixPtr*, ddf_MatrixPtr); /* 092 */ int ddf_Remove(ddf_MatrixPtr*, ddf_rowrange); /* 092 */ ddf_MatrixPtr ddf_MatrixSubmatrix(ddf_MatrixPtr, ddf_rowset delset); /* 092 */ ddf_MatrixPtr ddf_MatrixSubmatrix2(ddf_MatrixPtr, ddf_rowset delset,ddf_rowindex*); /* 094. It returns new row positions. */ ddf_MatrixPtr ddf_MatrixSubmatrix2L(ddf_MatrixPtr, ddf_rowset delset,ddf_rowindex*); /* 094. Linearity shifted up. */ int ddf_MatrixShiftupLinearity(ddf_MatrixPtr *,ddf_rowindex *); /* 094 */ int ddf_MatrixRowRemove(ddf_MatrixPtr *M, ddf_rowrange r); /* 092 */ int ddf_MatrixRowRemove2(ddf_MatrixPtr *M, ddf_rowrange r,ddf_rowindex*); /* 094*/ int ddf_MatrixRowsRemove(ddf_MatrixPtr *M, ddf_rowset delset); /* 094 */ int ddf_MatrixRowsRemove2(ddf_MatrixPtr *M, ddf_rowset delset,ddf_rowindex*); /* 094 */ /* input/output */ void ddf_SetInputFile(FILE **f,ddf_DataFileType inputfile, ddf_ErrorType *); void ddf_SetWriteFileName(ddf_DataFileType, ddf_DataFileType, char, ddf_RepresentationType); void ddf_WriteAmatrix(FILE *, ddf_Amatrix, ddf_rowrange, ddf_colrange); void ddf_WriteArow(FILE *f, ddf_Arow a, ddf_colrange); void ddf_WriteBmatrix(FILE *, ddf_colrange, ddf_Bmatrix T); void ddf_WriteMatrix(FILE *, ddf_MatrixPtr); void ddf_MatrixIntegerFilter(ddf_MatrixPtr); void ddf_WriteReal(FILE *, myfloat); void ddf_WriteNumber(FILE *f, myfloat x); /* write a number depending on the arithmetic used. */ void ddf_WritePolyFile(FILE *, ddf_PolyhedraPtr); void ddf_WriteRunningMode(FILE *, ddf_PolyhedraPtr); void ddf_WriteErrorMessages(FILE *, ddf_ErrorType); void ddf_WriteSetFamily(FILE *, ddf_SetFamilyPtr); void ddf_WriteSetFamilyCompressed(FILE *, ddf_SetFamilyPtr); void ddf_WriteProgramDescription(FILE *); void ddf_WriteDDTimes(FILE *, ddf_PolyhedraPtr); void ddf_WriteTimes(FILE *, time_t, time_t); void ddf_WriteIncidence(FILE *, ddf_PolyhedraPtr); void ddf_WriteAdjacency(FILE *, ddf_PolyhedraPtr); void ddf_WriteInputAdjacency(FILE *, ddf_PolyhedraPtr); void ddf_WriteInputIncidence(FILE *, ddf_PolyhedraPtr); /* functions and types for LP solving */ ddf_LPPtr ddf_Matrix2LP(ddf_MatrixPtr, ddf_ErrorType *); /* Load a matrix to create an LP object. */ ddf_LPPtr ddf_Matrix2Feasibility(ddf_MatrixPtr, ddf_ErrorType *); /* Load a matrix to create an LP object for feasibility (obj == 0) .*/ /* 094 */ ddf_LPPtr ddf_Matrix2Feasibility2(ddf_MatrixPtr, ddf_rowset, ddf_rowset, ddf_ErrorType *); /* Load a matrix to create an LP object for feasibility with additional equality and strict inequality constraints. */ /* 094 */ ddf_boolean ddf_LPSolve(ddf_LPPtr,ddf_LPSolverType,ddf_ErrorType *); ddf_boolean ddf_LPSolve0(ddf_LPPtr,ddf_LPSolverType,ddf_ErrorType *); void ddf_CrissCrossSolve(ddf_LPPtr lp,ddf_ErrorType *); void ddf_DualSimplexSolve(ddf_LPPtr lp,ddf_ErrorType *); ddf_LPPtr ddf_MakeLPforInteriorFinding(ddf_LPPtr); ddf_LPSolutionPtr ddf_CopyLPSolution(ddf_LPPtr); /* 0.90c */ void ddf_WriteLP(FILE *, ddf_LPPtr); /* 092 */ ddf_LPPtr ddf_CreateLPData(ddf_LPObjectiveType,ddf_NumberType,ddf_rowrange,ddf_colrange); int ddf_LPReverseRow(ddf_LPPtr, ddf_rowrange); /* reverse the i-th row (1 <= i <= no. of rows) */ int ddf_LPReplaceRow(ddf_LPPtr, ddf_rowrange, ddf_Arow); /* replace the i-th row (1 <= i <= no. of rows) */ ddf_Arow ddf_LPCopyRow(ddf_LPPtr, ddf_rowrange); /* copy the i-th row (1 <= i <= no. of rows) */ void ddf_FreeLPData(ddf_LPPtr); void ddf_FreeLPSolution(ddf_LPSolutionPtr); void ddf_WriteLPResult(FILE *, ddf_LPPtr, ddf_ErrorType); void ddf_WriteLPErrorMessages(FILE *, ddf_ErrorType); void ddf_WriteLPTimes(FILE *, ddf_LPPtr); void ddf_WriteLPStats(FILE *f); void ddf_WriteLPMode(FILE *f); ddf_MatrixPtr ddf_FourierElimination(ddf_MatrixPtr,ddf_ErrorType *); ddf_MatrixPtr ddf_BlockElimination(ddf_MatrixPtr, ddf_colset, ddf_ErrorType *); #if defined(__cplusplus) } #endif /* ---------- FUNCTIONS MEANT TO BE NON-PUBLIC ---------- */ void ddf_QuickSort(ddf_rowindex, long, long, ddf_Amatrix, long); void ddf_RandomPermutation(ddf_rowindex, long, unsigned int seed); void ddf_UniqueRows(ddf_rowindex, long, long, ddf_Amatrix, long, ddf_rowset, long *); ddf_boolean ddf_DoubleDescription(ddf_PolyhedraPtr, ddf_ErrorType*); ddf_boolean ddf_DoubleDescription2(ddf_PolyhedraPtr, ddf_RowOrderType, ddf_ErrorType *); void ddf_FreeDDMemory0(ddf_ConePtr); void ddf_fread_rational_value (FILE *f, myfloat value); void ddf_sread_rational_value (const char *s, myfloat value); void ddf_AddNewHalfspace1(ddf_ConePtr, ddf_rowrange); void ddf_AddNewHalfspace2(ddf_ConePtr, ddf_rowrange); void ddf_AddRay(ddf_ConePtr, myfloat *); void ddf_AddArtificialRay(ddf_ConePtr); void ddf_AValue(myfloat*,ddf_colrange, ddf_Amatrix, myfloat *, ddf_rowrange); void ddf_CheckAdjacency(ddf_ConePtr, ddf_RayPtr*, ddf_RayPtr*, ddf_boolean *); void ddf_CheckEquality(ddf_colrange, ddf_RayPtr *, ddf_RayPtr *, ddf_boolean *); void ddf_ComputeRowOrderVector(ddf_ConePtr); void ddf_ConditionalAddEdge(ddf_ConePtr,ddf_RayPtr, ddf_RayPtr, ddf_RayPtr); void ddf_CopyArow(myfloat *, myfloat *, ddf_colrange); void ddf_CopyNormalizedAmatrix(myfloat **, myfloat **, ddf_rowrange, ddf_colrange); void ddf_CopyNormalizedArow(myfloat *, myfloat *, ddf_colrange); void ddf_CopyAmatrix(myfloat **, myfloat **, ddf_rowrange, ddf_colrange); void ddf_PermuteCopyAmatrix(myfloat **, myfloat **, ddf_rowrange, ddf_colrange, ddf_rowindex); void ddf_PermutePartialCopyAmatrix(myfloat **, myfloat **, ddf_rowrange, ddf_colrange, ddf_rowindex,ddf_rowrange, ddf_rowrange); void ddf_CopyBmatrix(ddf_colrange, ddf_Bmatrix T, ddf_Bmatrix TCOPY); void ddf_CopyRay(myfloat *, ddf_colrange, ddf_RayPtr, ddf_RepresentationType, ddf_colindex); void ddf_CreateInitialEdges(ddf_ConePtr); void ddf_CreateNewRay(ddf_ConePtr, ddf_RayPtr, ddf_RayPtr, ddf_rowrange); void ddf_Eliminate(ddf_ConePtr, ddf_RayPtr*); void ddf_EvaluateARay1(ddf_rowrange, ddf_ConePtr); void ddf_EvaluateARay2(ddf_rowrange, ddf_ConePtr); void ddf_FeasibilityIndices(long *, long *, ddf_rowrange, ddf_ConePtr); void ddf_FindBasis(ddf_ConePtr, long *rank); void ddf_FindInitialRays(ddf_ConePtr, ddf_boolean *); void ddf_ColumnReduce(ddf_ConePtr); void ddf_GaussianColumnPivot(ddf_rowrange, ddf_colrange, ddf_Amatrix, ddf_Bmatrix, ddf_rowrange, ddf_colrange); ddf_boolean ddf_LexSmaller(myfloat *, myfloat *, long); ddf_boolean ddf_LexLarger(myfloat *, myfloat *, long); ddf_boolean ddf_LexEqual(myfloat *, myfloat *, long); void ddf_Normalize(ddf_colrange, myfloat *); void ddf_MatrixIntegerFilter(ddf_MatrixPtr); void ddf_ProcessCommandLine(FILE*,ddf_MatrixPtr, const char *); void ddf_SelectNextHalfspace(ddf_ConePtr, ddf_rowset, ddf_rowrange *); void ddf_SelectPivot2(ddf_rowrange,ddf_colrange,ddf_Amatrix, ddf_Bmatrix,ddf_RowOrderType,ddf_rowindex, ddf_rowset,ddf_rowrange,ddf_rowset, ddf_colset,ddf_rowrange *,ddf_colrange *,ddf_boolean *); void ddf_SelectPreorderedNext(ddf_ConePtr, ddf_rowset, ddf_rowrange *); void ddf_SetInequalitySets(ddf_ConePtr); void ddf_SnapToInteger(myfloat, myfloat); void ddf_StoreRay1(ddf_ConePtr, myfloat *, ddf_boolean *); void ddf_StoreRay2(ddf_ConePtr, myfloat *, ddf_boolean *, ddf_boolean *); void ddf_TableauEntry(myfloat *, ddf_rowrange, ddf_colrange, ddf_Amatrix, ddf_Bmatrix T, ddf_rowrange, ddf_colrange); void ddf_UpdateEdges(ddf_ConePtr, ddf_RayPtr, ddf_RayPtr); void ddf_UpdateRowOrderVector(ddf_ConePtr, ddf_rowset PriorityRows); void ddf_WriteRay(FILE *, ddf_colrange, ddf_RayPtr, ddf_RepresentationType, ddf_colindex); void ddf_ZeroIndexSet(ddf_rowrange, ddf_colrange, ddf_Amatrix, myfloat *, ddf_rowset); /* New functions to handle data loading, NON-PUBLIC */ ddf_NumberType ddf_GetNumberType(const char *); ddf_ConePtr ddf_ConeDataLoad(ddf_PolyhedraPtr); ddf_PolyhedraPtr ddf_CreatePolyhedraData(ddf_rowrange, ddf_colrange); ddf_boolean ddf_InitializeConeData(ddf_rowrange, ddf_colrange, ddf_ConePtr*); ddf_boolean ddf_AppendMatrix2Poly(ddf_PolyhedraPtr*, ddf_MatrixPtr); /* end of cddlib.h */ cddlib-094g/lib-src-gmp/cddcore.c000077700000000000000000000000001206770251100221542../lib-src/cddcore.custar00rootroot00000000000000cddlib-094g/lib-src-gmp/cddcore_f.c000066400000000000000000001636411206770251100171640ustar00rootroot00000000000000/* automatically generated by sed scripts from the c source named below: */ /* cddcore.c: Core Procedures for cddlib written by Komei Fukuda, fukuda@ifor.math.ethz.ch Version 0.94g, March 23, 2012 */ /* cddlib : C-library of the double description method for computing all vertices and extreme rays of the polyhedron P= {x : b - A x >= 0}. Please read COPYING (GNU General Public Licence) and the manual cddlibman.tex for detail. */ #include "setoper.h" /* set operation library header (Ver. June 1, 2000 or later) */ #include "cdd_f.h" #include #include #include #include #include void ddf_CheckAdjacency(ddf_ConePtr cone, ddf_RayPtr *RP1, ddf_RayPtr *RP2, ddf_boolean *adjacent) { ddf_RayPtr TempRay; ddf_boolean localdebug=ddf_FALSE; static ddf_rowset Face, Face1; static ddf_rowrange last_m=0; if (last_m!=cone->m) { if (last_m>0){ set_free(Face); set_free(Face1); } set_initialize(&Face, cone->m); set_initialize(&Face1, cone->m); last_m=cone->m; } if (ddf_debug) localdebug=ddf_TRUE; *adjacent = ddf_TRUE; set_int(Face1, (*RP1)->ZeroSet, (*RP2)->ZeroSet); set_int(Face, Face1, cone->AddedHalfspaces); if (set_card(Face)< cone->d - 2) { *adjacent = ddf_FALSE; if (localdebug) { fprintf(stderr,"non adjacent: set_card(face) %ld < %ld = cone->d.\n", set_card(Face),cone->d); } return; } else if (cone->parent->NondegAssumed) { *adjacent = ddf_TRUE; return; } TempRay = cone->FirstRay; while (TempRay != NULL && *adjacent) { if (TempRay != *RP1 && TempRay != *RP2) { set_int(Face1, TempRay->ZeroSet, cone->AddedHalfspaces); if (set_subset(Face, Face1)) *adjacent = ddf_FALSE; } TempRay = TempRay->Next; } } void ddf_Eliminate(ddf_ConePtr cone, ddf_RayPtr*Ptr) { /*eliminate the record pointed by Ptr^.Next*/ ddf_RayPtr TempPtr; ddf_colrange j; TempPtr = (*Ptr)->Next; (*Ptr)->Next = (*Ptr)->Next->Next; if (TempPtr == cone->FirstRay) /*Update the first pointer*/ cone->FirstRay = (*Ptr)->Next; if (TempPtr == cone->LastRay) /*Update the last pointer*/ cone->LastRay = *Ptr; /* Added, Marc Pfetsch 010219 */ for (j=0;j < cone->d;j++) ddf_clear(TempPtr->Ray[j]); ddf_clear(TempPtr->ARay); free(TempPtr->Ray); /* free the ray vector memory */ set_free(TempPtr->ZeroSet); /* free the ZeroSet memory */ free(TempPtr); /* free the ddf_Ray structure memory */ cone->RayCount--; } void ddf_SetInequalitySets(ddf_ConePtr cone) { ddf_rowrange i; set_emptyset(cone->GroundSet); set_emptyset(cone->EqualitySet); set_emptyset(cone->NonequalitySet); for (i = 1; i <= (cone->parent->m); i++){ set_addelem(cone->GroundSet, i); if (cone->parent->EqualityIndex[i]==1) set_addelem(cone->EqualitySet,i); if (cone->parent->EqualityIndex[i]==-1) set_addelem(cone->NonequalitySet,i); } } void ddf_AValue(myfloat *val, ddf_colrange d_size, ddf_Amatrix A, myfloat *p, ddf_rowrange i) { /*return the ith component of the vector A x p */ ddf_colrange j; myfloat x; ddf_init(x); ddf_set(*val,ddf_purezero); /* Changed by Marc Pfetsch 010219 */ for (j = 0; j < d_size; j++){ ddf_mul(x,A[i - 1][j], p[j]); ddf_add(*val, *val, x); } ddf_clear(x); } void ddf_StoreRay1(ddf_ConePtr cone, myfloat *p, ddf_boolean *feasible) { /* Original ray storing routine when RelaxedEnumeration is ddf_FALSE */ ddf_rowrange i,k,fii=cone->m+1; ddf_colrange j; myfloat temp; ddf_RayPtr RR; ddf_boolean localdebug=ddf_debug; ddf_init(temp); RR=cone->LastRay; *feasible = ddf_TRUE; set_initialize(&(RR->ZeroSet),cone->m); for (j = 0; j < cone->d; j++){ ddf_set(RR->Ray[j],p[j]); } for (i = 1; i <= cone->m; i++) { k=cone->OrderVector[i]; ddf_AValue(&temp, cone->d, cone->A, p, k); if (localdebug) { fprintf(stderr,"ddf_StoreRay1: ddf_AValue at row %ld =",k); ddf_WriteNumber(stderr, temp); fprintf(stderr,"\n"); } if (ddf_EqualToZero(temp)) { set_addelem(RR->ZeroSet, k); if (localdebug) { fprintf(stderr,"recognized zero!\n"); } } if (ddf_Negative(temp)){ if (localdebug) { fprintf(stderr,"recognized negative!\n"); } *feasible = ddf_FALSE; if (fii>cone->m) fii=i; /* the first violating inequality index */ if (localdebug) { fprintf(stderr,"this ray is not feasible, neg comp = %ld\n", fii); ddf_WriteNumber(stderr, temp); fprintf(stderr,"\n"); } } } RR->FirstInfeasIndex=fii; RR->feasible = *feasible; ddf_clear(temp); } void ddf_StoreRay2(ddf_ConePtr cone, myfloat *p, ddf_boolean *feasible, ddf_boolean *weaklyfeasible) /* Ray storing routine when RelaxedEnumeration is ddf_TRUE. weaklyfeasible is true iff it is feasible with the strict_inequality conditions deleted. */ { ddf_RayPtr RR; ddf_rowrange i,k,fii=cone->m+1; ddf_colrange j; myfloat temp; ddf_boolean localdebug=ddf_debug; ddf_init(temp); RR=cone->LastRay; if (ddf_debug) localdebug=ddf_TRUE; *feasible = ddf_TRUE; *weaklyfeasible = ddf_TRUE; set_initialize(&(RR->ZeroSet),cone->m); for (j = 0; j < cone->d; j++){ ddf_set(RR->Ray[j],p[j]); } for (i = 1; i <= cone->m; i++) { k=cone->OrderVector[i]; ddf_AValue(&temp, cone->d, cone->A, p, k); if (ddf_EqualToZero(temp)){ set_addelem(RR->ZeroSet, k); if (cone->parent->EqualityIndex[k]==-1) *feasible=ddf_FALSE; /* strict inequality required */ } /* if (temp < -zero){ */ if (ddf_Negative(temp)){ *feasible = ddf_FALSE; if (fii>cone->m && cone->parent->EqualityIndex[k]>=0) { fii=i; /* the first violating inequality index */ *weaklyfeasible=ddf_FALSE; } } } RR->FirstInfeasIndex=fii; RR->feasible = *feasible; ddf_clear(temp); } void ddf_AddRay(ddf_ConePtr cone, myfloat *p) { ddf_boolean feasible, weaklyfeasible; ddf_colrange j; if (cone->FirstRay == NULL) { cone->FirstRay = (ddf_RayPtr) malloc(sizeof(ddf_RayType)); cone->FirstRay->Ray = (myfloat *) calloc(cone->d, sizeof(myfloat)); for (j=0; jd; j++) ddf_init(cone->FirstRay->Ray[j]); ddf_init(cone->FirstRay->ARay); if (ddf_debug) fprintf(stderr,"Create the first ray pointer\n"); cone->LastRay = cone->FirstRay; cone->ArtificialRay->Next = cone->FirstRay; } else { cone->LastRay->Next = (ddf_RayPtr) malloc(sizeof(ddf_RayType)); cone->LastRay->Next->Ray = (myfloat *) calloc(cone->d, sizeof(myfloat)); for (j=0; jd; j++) ddf_init(cone->LastRay->Next->Ray[j]); ddf_init(cone->LastRay->Next->ARay); if (ddf_debug) fprintf(stderr,"Create a new ray pointer\n"); cone->LastRay = cone->LastRay->Next; } cone->LastRay->Next = NULL; cone->RayCount++; cone->TotalRayCount++; if (ddf_debug) { if (cone->TotalRayCount % 100 == 0) { fprintf(stderr,"*Rays (Total, Currently Active, Feasible) =%8ld%8ld%8ld\n", cone->TotalRayCount, cone->RayCount, cone->FeasibleRayCount); } } if (cone->parent->RelaxedEnumeration){ ddf_StoreRay2(cone, p, &feasible, &weaklyfeasible); if (weaklyfeasible) (cone->WeaklyFeasibleRayCount)++; } else { ddf_StoreRay1(cone, p, &feasible); if (feasible) (cone->WeaklyFeasibleRayCount)++; /* weaklyfeasible is equiv. to feasible in this case. */ } if (!feasible) return; else { (cone->FeasibleRayCount)++; } } void ddf_AddArtificialRay(ddf_ConePtr cone) { ddf_Arow zerovector; ddf_colrange j,d1; ddf_boolean feasible; if (cone->d<=0) d1=1; else d1=cone->d; ddf_InitializeArow(d1, &zerovector); if (cone->ArtificialRay != NULL) { fprintf(stderr,"Warning !!! FirstRay in not nil. Illegal Call\n"); free(zerovector); /* 086 */ return; } cone->ArtificialRay = (ddf_RayPtr) malloc(sizeof(ddf_RayType)); cone->ArtificialRay->Ray = (myfloat *) calloc(d1, sizeof(myfloat)); for (j=0; jArtificialRay->Ray[j]); ddf_init(cone->ArtificialRay->ARay); if (ddf_debug) fprintf(stderr,"Create the artificial ray pointer\n"); cone->LastRay=cone->ArtificialRay; ddf_StoreRay1(cone, zerovector, &feasible); /* This stores a vector to the record pointed by cone->LastRay */ cone->ArtificialRay->Next = NULL; for (j = 0; j < d1; j++){ ddf_clear(zerovector[j]); } free(zerovector); /* 086 */ } void ddf_ConditionalAddEdge(ddf_ConePtr cone, ddf_RayPtr Ray1, ddf_RayPtr Ray2, ddf_RayPtr ValidFirstRay) { long it,it_row,fii1,fii2,fmin,fmax; ddf_boolean adjacent,lastchance; ddf_RayPtr TempRay,Rmin,Rmax; ddf_AdjacencyType *NewEdge; ddf_boolean localdebug=ddf_FALSE; ddf_rowset ZSmin, ZSmax; static ddf_rowset Face, Face1; static ddf_rowrange last_m=0; if (last_m!=cone->m) { if (last_m>0){ set_free(Face); set_free(Face1); } set_initialize(&Face, cone->m); set_initialize(&Face1, cone->m); last_m=cone->m; } fii1=Ray1->FirstInfeasIndex; fii2=Ray2->FirstInfeasIndex; if (fii1ZeroSet; ZSmax = Rmax->ZeroSet; if (localdebug) { fprintf(stderr,"ddf_ConditionalAddEdge: FMIN = %ld (row%ld) FMAX=%ld\n", fmin, cone->OrderVector[fmin], fmax); } if (fmin==fmax){ if (localdebug) fprintf(stderr,"ddf_ConditionalAddEdge: equal FII value-> No edge added\n"); } else if (set_member(cone->OrderVector[fmin],ZSmax)){ if (localdebug) fprintf(stderr,"ddf_ConditionalAddEdge: No strong separation -> No edge added\n"); } else { /* the pair will be separated at the iteration fmin */ lastchance=ddf_TRUE; /* flag to check it will be the last chance to store the edge candidate */ set_int(Face1, ZSmax, ZSmin); (cone->count_int)++; if (localdebug){ fprintf(stderr,"Face: "); for (it=1; it<=cone->m; it++) { it_row=cone->OrderVector[it]; if (set_member(it_row, Face1)) fprintf(stderr,"%ld ",it_row); } fprintf(stderr,"\n"); } for (it=cone->Iteration+1; it < fmin && lastchance; it++){ it_row=cone->OrderVector[it]; if (cone->parent->EqualityIndex[it_row]>=0 && set_member(it_row, Face1)){ lastchance=ddf_FALSE; (cone->count_int_bad)++; if (localdebug){ fprintf(stderr,"There will be another chance iteration %ld (row %ld) to store the pair\n", it, it_row); } } } if (lastchance){ adjacent = ddf_TRUE; (cone->count_int_good)++; /* adjacent checking */ set_int(Face, Face1, cone->AddedHalfspaces); if (localdebug){ fprintf(stderr,"Check adjacency\n"); fprintf(stderr,"AddedHalfspaces: "); set_fwrite(stderr,cone->AddedHalfspaces); fprintf(stderr,"Face: "); for (it=1; it<=cone->m; it++) { it_row=cone->OrderVector[it]; if (set_member(it_row, Face)) fprintf(stderr,"%ld ",it_row); } fprintf(stderr,"\n"); } if (set_card(Face)< cone->d - 2) { adjacent = ddf_FALSE; } else if (cone->parent->NondegAssumed) { adjacent = ddf_TRUE; } else{ TempRay = ValidFirstRay; /* the first ray for adjacency checking */ while (TempRay != NULL && adjacent) { if (TempRay != Ray1 && TempRay != Ray2) { set_int(Face1, TempRay->ZeroSet, cone->AddedHalfspaces); if (set_subset(Face, Face1)) { if (localdebug) set_fwrite(stderr,Face1); adjacent = ddf_FALSE; } } TempRay = TempRay->Next; } } if (adjacent){ if (localdebug) fprintf(stderr,"The pair is adjacent and the pair must be stored for iteration %ld (row%ld)\n", fmin, cone->OrderVector[fmin]); NewEdge=(ddf_AdjacencyPtr) malloc(sizeof *NewEdge); NewEdge->Ray1=Rmax; /* save the one remains in iteration fmin in the first */ NewEdge->Ray2=Rmin; /* save the one deleted in iteration fmin in the second */ NewEdge->Next=NULL; (cone->EdgeCount)++; (cone->TotalEdgeCount)++; if (cone->Edges[fmin]==NULL){ cone->Edges[fmin]=NewEdge; if (localdebug) fprintf(stderr,"Create a new edge list of %ld\n", fmin); }else{ NewEdge->Next=cone->Edges[fmin]; cone->Edges[fmin]=NewEdge; } } } } } void ddf_CreateInitialEdges(ddf_ConePtr cone) { ddf_RayPtr Ptr1, Ptr2; ddf_rowrange fii1,fii2; long count=0; ddf_boolean adj,localdebug=ddf_FALSE; cone->Iteration=cone->d; /* CHECK */ if (cone->FirstRay ==NULL || cone->LastRay==NULL){ /* fprintf(stderr,"Warning: ddf_ CreateInitialEdges called with NULL pointer(s)\n"); */ goto _L99; } Ptr1=cone->FirstRay; while(Ptr1!=cone->LastRay && Ptr1!=NULL){ fii1=Ptr1->FirstInfeasIndex; Ptr2=Ptr1->Next; while(Ptr2!=NULL){ fii2=Ptr2->FirstInfeasIndex; count++; if (localdebug) fprintf(stderr,"ddf_ CreateInitialEdges: edge %ld \n",count); ddf_CheckAdjacency(cone, &Ptr1, &Ptr2, &adj); if (fii1!=fii2 && adj) ddf_ConditionalAddEdge(cone, Ptr1, Ptr2, cone->FirstRay); Ptr2=Ptr2->Next; } Ptr1=Ptr1->Next; } _L99:; } void ddf_UpdateEdges(ddf_ConePtr cone, ddf_RayPtr RRbegin, ddf_RayPtr RRend) /* This procedure must be called after the ray list is sorted by ddf_EvaluateARay2 so that FirstInfeasIndex's are monotonically increasing. */ { ddf_RayPtr Ptr1, Ptr2begin, Ptr2; ddf_rowrange fii1; ddf_boolean ptr2found,quit,localdebug=ddf_FALSE; long count=0,pos1, pos2; float workleft,prevworkleft=110.0,totalpairs; totalpairs=(cone->ZeroRayCount-1.0)*(cone->ZeroRayCount-2.0)+1.0; Ptr2begin = NULL; if (RRbegin ==NULL || RRend==NULL){ if (1) fprintf(stderr,"Warning: ddf_UpdateEdges called with NULL pointer(s)\n"); goto _L99; } Ptr1=RRbegin; pos1=1; do{ ptr2found=ddf_FALSE; quit=ddf_FALSE; fii1=Ptr1->FirstInfeasIndex; pos2=2; for (Ptr2=Ptr1->Next; !ptr2found && !quit; Ptr2=Ptr2->Next,pos2++){ if (Ptr2->FirstInfeasIndex > fii1){ Ptr2begin=Ptr2; ptr2found=ddf_TRUE; } else if (Ptr2==RRend) quit=ddf_TRUE; } if (ptr2found){ quit=ddf_FALSE; for (Ptr2=Ptr2begin; !quit ; Ptr2=Ptr2->Next){ count++; if (localdebug) fprintf(stderr,"ddf_UpdateEdges: edge %ld \n",count); ddf_ConditionalAddEdge(cone, Ptr1,Ptr2,RRbegin); if (Ptr2==RRend || Ptr2->Next==NULL) quit=ddf_TRUE; } } Ptr1=Ptr1->Next; pos1++; workleft = 100.0 * (cone->ZeroRayCount-pos1) * (cone->ZeroRayCount - pos1-1.0) / totalpairs; if (cone->ZeroRayCount>=500 && ddf_debug && pos1%10 ==0 && prevworkleft-workleft>=10 ) { fprintf(stderr,"*Work of iteration %5ld(/%ld): %4ld/%4ld => %4.1f%% left\n", cone->Iteration, cone->m, pos1, cone->ZeroRayCount, workleft); prevworkleft=workleft; } }while(Ptr1!=RRend && Ptr1!=NULL); _L99:; } void ddf_FreeDDMemory0(ddf_ConePtr cone) { ddf_RayPtr Ptr, PrevPtr; long count; ddf_colrange j; ddf_boolean localdebug=ddf_FALSE; /* THIS SHOULD BE REWRITTEN carefully */ PrevPtr=cone->ArtificialRay; if (PrevPtr!=NULL){ count=0; for (Ptr=cone->ArtificialRay->Next; Ptr!=NULL; Ptr=Ptr->Next){ /* Added Marc Pfetsch 2/19/01 */ for (j=0;j < cone->d;j++) ddf_clear(PrevPtr->Ray[j]); ddf_clear(PrevPtr->ARay); free(PrevPtr->Ray); free(PrevPtr->ZeroSet); free(PrevPtr); count++; PrevPtr=Ptr; }; cone->FirstRay=NULL; /* Added Marc Pfetsch 010219 */ for (j=0;j < cone->d;j++) ddf_clear(cone->LastRay->Ray[j]); ddf_clear(cone->LastRay->ARay); free(cone->LastRay->Ray); cone->LastRay->Ray = NULL; set_free(cone->LastRay->ZeroSet); cone->LastRay->ZeroSet = NULL; free(cone->LastRay); cone->LastRay = NULL; cone->ArtificialRay=NULL; if (localdebug) fprintf(stderr,"%ld ray storage spaces freed\n",count); } /* must add (by Sato) */ free(cone->Edges); set_free(cone->GroundSet); set_free(cone->EqualitySet); set_free(cone->NonequalitySet); set_free(cone->AddedHalfspaces); set_free(cone->WeaklyAddedHalfspaces); set_free(cone->InitialHalfspaces); free(cone->InitialRayIndex); free(cone->OrderVector); free(cone->newcol); /* Fixed by Shawn Rusaw. Originally it was cone->d instead of cone->d_alloc */ ddf_FreeBmatrix(cone->d_alloc,cone->B); ddf_FreeBmatrix(cone->d_alloc,cone->Bsave); /* Fixed by Marc Pfetsch 010219*/ ddf_FreeAmatrix(cone->m_alloc,cone->d_alloc,cone->A); cone->A = NULL; free(cone); } void ddf_FreeDDMemory(ddf_PolyhedraPtr poly) { ddf_FreeDDMemory0(poly->child); poly->child=NULL; } void ddf_FreePolyhedra(ddf_PolyhedraPtr poly) { ddf_bigrange i; if ((poly)->child != NULL) ddf_FreeDDMemory(poly); ddf_FreeAmatrix((poly)->m_alloc,poly->d_alloc, poly->A); ddf_FreeArow((poly)->d_alloc,(poly)->c); free((poly)->EqualityIndex); if (poly->AincGenerated){ for (i=1; i<=poly->m1; i++){ set_free(poly->Ainc[i-1]); } free(poly->Ainc); set_free(poly->Ared); set_free(poly->Adom); poly->Ainc=NULL; } free(poly); } void ddf_Normalize(ddf_colrange d_size, myfloat *V) { long j,jmin=0; myfloat temp,min; ddf_boolean nonzerofound=ddf_FALSE; if (d_size>0){ ddf_init(min); ddf_init(temp); ddf_abs(min,V[0]); jmin=0; /* set the minmizer to 0 */ if (ddf_Positive(min)) nonzerofound=ddf_TRUE; for (j = 1; j < d_size; j++) { ddf_abs(temp,V[j]); if (ddf_Positive(temp)){ if (!nonzerofound || ddf_Smaller(temp,min)){ nonzerofound=ddf_TRUE; ddf_set(min, temp); jmin=j; } } } if (ddf_Positive(min)){ for (j = 0; j < d_size; j++) ddf_div(V[j], V[j], min); } ddf_clear(min); ddf_clear(temp); } } void ddf_ZeroIndexSet(ddf_rowrange m_size, ddf_colrange d_size, ddf_Amatrix A, myfloat *x, ddf_rowset ZS) { ddf_rowrange i; myfloat temp; /* Changed by Marc Pfetsch 010219 */ ddf_init(temp); set_emptyset(ZS); for (i = 1; i <= m_size; i++) { ddf_AValue(&temp, d_size, A, x, i); if (ddf_EqualToZero(temp)) set_addelem(ZS, i); } /* Changed by Marc Pfetsch 010219 */ ddf_clear(temp); } void ddf_CopyBmatrix(ddf_colrange d_size, ddf_Bmatrix T, ddf_Bmatrix TCOPY) { ddf_rowrange i; ddf_colrange j; for (i=0; i < d_size; i++) { for (j=0; j < d_size; j++) { ddf_set(TCOPY[i][j],T[i][j]); } } } void ddf_CopyArow(myfloat *acopy, myfloat *a, ddf_colrange d) { ddf_colrange j; for (j = 0; j < d; j++) { ddf_set(acopy[j],a[j]); } } void ddf_CopyNormalizedArow(myfloat *acopy, myfloat *a, ddf_colrange d) { ddf_CopyArow(acopy, a, d); ddf_Normalize(d,acopy); } void ddf_CopyAmatrix(myfloat **Acopy, myfloat **A, ddf_rowrange m, ddf_colrange d) { ddf_rowrange i; for (i = 0; i< m; i++) { ddf_CopyArow(Acopy[i],A[i],d); } } void ddf_CopyNormalizedAmatrix(myfloat **Acopy, myfloat **A, ddf_rowrange m, ddf_colrange d) { ddf_rowrange i; for (i = 0; i< m; i++) { ddf_CopyNormalizedArow(Acopy[i],A[i],d); } } void ddf_PermuteCopyAmatrix(myfloat **Acopy, myfloat **A, ddf_rowrange m, ddf_colrange d, ddf_rowindex roworder) { ddf_rowrange i; for (i = 1; i<= m; i++) { ddf_CopyArow(Acopy[i-1],A[roworder[i]-1],d); } } void ddf_PermutePartialCopyAmatrix(myfloat **Acopy, myfloat **A, ddf_rowrange m, ddf_colrange d, ddf_rowindex roworder,ddf_rowrange p, ddf_rowrange q) { /* copy the rows of A whose roworder is positive. roworder[i] is the row index of the copied row. */ ddf_rowrange i,k; k=0; for (i = 1; i<= m; i++) { if (roworder[i]>0) ddf_CopyArow(Acopy[roworder[i]-1],A[i-1],d); } } void ddf_InitializeArow(ddf_colrange d,ddf_Arow *a) { ddf_colrange j; if (d>0) *a=(myfloat*) calloc(d,sizeof(myfloat)); for (j = 0; j < d; j++) { ddf_init((*a)[j]); } } void ddf_InitializeAmatrix(ddf_rowrange m,ddf_colrange d,ddf_Amatrix *A) { ddf_rowrange i; if (m>0) (*A)=(myfloat**) calloc(m,sizeof(myfloat*)); for (i = 0; i < m; i++) { ddf_InitializeArow(d,&((*A)[i])); } } void ddf_FreeAmatrix(ddf_rowrange m,ddf_colrange d,ddf_Amatrix A) { ddf_rowrange i; ddf_colrange j; for (i = 0; i < m; i++) { for (j = 0; j < d; j++) { ddf_clear(A[i][j]); } } if (A!=NULL) { for (i = 0; i < m; i++) { free(A[i]); } free(A); } } void ddf_FreeArow(ddf_colrange d, ddf_Arow a) { ddf_colrange j; for (j = 0; j < d; j++) { ddf_clear(a[j]); } free(a); } void ddf_InitializeBmatrix(ddf_colrange d,ddf_Bmatrix *B) { ddf_colrange i,j; (*B)=(myfloat**) calloc(d,sizeof(myfloat*)); for (j = 0; j < d; j++) { (*B)[j]=(myfloat*) calloc(d,sizeof(myfloat)); } for (i = 0; i < d; i++) { for (j = 0; j < d; j++) { ddf_init((*B)[i][j]); } } } void ddf_FreeBmatrix(ddf_colrange d,ddf_Bmatrix B) { ddf_colrange i,j; for (i = 0; i < d; i++) { for (j = 0; j < d; j++) { ddf_clear(B[i][j]); } } if (B!=NULL) { for (j = 0; j < d; j++) { free(B[j]); } free(B); } } ddf_SetFamilyPtr ddf_CreateSetFamily(ddf_bigrange fsize, ddf_bigrange ssize) { ddf_SetFamilyPtr F; ddf_bigrange i,f0,f1,s0,s1; if (fsize<=0) { f0=0; f1=1; /* if fsize<=0, the fsize is set to zero and the created size is one */ } else { f0=fsize; f1=fsize; } if (ssize<=0) { s0=0; s1=1; /* if ssize<=0, the ssize is set to zero and the created size is one */ } else { s0=ssize; s1=ssize; } F=(ddf_SetFamilyPtr) malloc (sizeof(ddf_SetFamilyType)); F->set=(set_type*) calloc(f1,sizeof(set_type)); for (i=0; iset[i]), s1); } F->famsize=f0; F->setsize=s0; return F; } void ddf_FreeSetFamily(ddf_SetFamilyPtr F) { ddf_bigrange i,f1; if (F!=NULL){ if (F->famsize<=0) f1=1; else f1=F->famsize; /* the smallest created size is one */ for (i=0; iset[i]); } free(F->set); free(F); } } ddf_MatrixPtr ddf_CreateMatrix(ddf_rowrange m_size,ddf_colrange d_size) { ddf_MatrixPtr M; ddf_rowrange m0,m1; ddf_colrange d0,d1; if (m_size<=0){ m0=0; m1=1; /* if m_size <=0, the number of rows is set to zero, the actual size is 1 */ } else { m0=m_size; m1=m_size; } if (d_size<=0){ d0=0; d1=1; /* if d_size <=0, the number of cols is set to zero, the actual size is 1 */ } else { d0=d_size; d1=d_size; } M=(ddf_MatrixPtr) malloc (sizeof(ddf_MatrixType)); ddf_InitializeAmatrix(m1,d1,&(M->matrix)); ddf_InitializeArow(d1,&(M->rowvec)); M->rowsize=m0; set_initialize(&(M->linset), m1); M->colsize=d0; M->objective=ddf_LPnone; M->numbtype=ddf_Unknown; M->representation=ddf_Unspecified; return M; } void ddf_FreeMatrix(ddf_MatrixPtr M) { ddf_rowrange m1; ddf_colrange d1; if (M!=NULL) { if (M->rowsize<=0) m1=1; else m1=M->rowsize; if (M->colsize<=0) d1=1; else d1=M->colsize; if (M!=NULL) { ddf_FreeAmatrix(m1,d1,M->matrix); ddf_FreeArow(d1,M->rowvec); set_free(M->linset); free(M); } } } void ddf_SetToIdentity(ddf_colrange d_size, ddf_Bmatrix T) { ddf_colrange j1, j2; for (j1 = 1; j1 <= d_size; j1++) { for (j2 = 1; j2 <= d_size; j2++) { if (j1 == j2) ddf_set(T[j1 - 1][j2 - 1],ddf_one); else ddf_set(T[j1 - 1][j2 - 1],ddf_purezero); } } } void ddf_ColumnReduce(ddf_ConePtr cone) { ddf_colrange j,j1=0; ddf_rowrange i; ddf_boolean localdebug=ddf_FALSE; for (j=1;j<=cone->d;j++) { if (cone->InitialRayIndex[j]>0){ j1=j1+1; if (j1m; i++) ddf_set(cone->A[i-1][j1-1],cone->A[i-1][j-1]); cone->newcol[j]=j1; if (localdebug){ fprintf(stderr,"shifting the column %ld to column %ld\n", j, j1); } /* shifting forward */ } } else { cone->newcol[j]=0; if (localdebug) { fprintf(stderr,"a generator (or an equation) of the linearity space: "); for (i=1; i<=cone->d; i++) ddf_WriteNumber(stderr, cone->B[i-1][j-1]); fprintf(stderr,"\n"); } } } cone->d=j1; /* update the dimension. cone->d_orig remembers the old. */ ddf_CopyBmatrix(cone->d_orig, cone->B, cone->Bsave); /* save the dual basis inverse as Bsave. This matrix contains the linearity space generators. */ cone->ColReduced=ddf_TRUE; } long ddf_MatrixRank(ddf_MatrixPtr M, ddf_rowset ignoredrows, ddf_colset ignoredcols, ddf_rowset *rowbasis, ddf_colset *colbasis) { ddf_boolean stop, chosen, localdebug=ddf_debug; ddf_rowset NopivotRow,PriorityRow; ddf_colset ColSelected; ddf_Bmatrix B; ddf_rowindex roworder; ddf_rowrange r; ddf_colrange s; long rank; rank = 0; stop = ddf_FALSE; set_initialize(&ColSelected, M->colsize); set_initialize(&NopivotRow, M->rowsize); set_initialize(rowbasis, M->rowsize); set_initialize(colbasis, M->colsize); set_initialize(&PriorityRow, M->rowsize); set_copy(NopivotRow,ignoredrows); set_copy(ColSelected,ignoredcols); ddf_InitializeBmatrix(M->colsize, &B); ddf_SetToIdentity(M->colsize, B); roworder=(long *)calloc(M->rowsize+1,sizeof(long)); for (r=0; rrowsize; r++){roworder[r+1]=r+1; } do { /* Find a set of rows for a basis */ ddf_SelectPivot2(M->rowsize, M->colsize,M->matrix,B,ddf_MinIndex,roworder, PriorityRow,M->rowsize, NopivotRow, ColSelected, &r, &s, &chosen); if (ddf_debug && chosen) fprintf(stderr,"Procedure ddf_MatrixRank: pivot on (r,s) =(%ld, %ld).\n", r, s); if (chosen) { set_addelem(NopivotRow, r); set_addelem(*rowbasis, r); set_addelem(ColSelected, s); set_addelem(*colbasis, s); rank++; ddf_GaussianColumnPivot(M->rowsize, M->colsize, M->matrix, B, r, s); if (localdebug) ddf_WriteBmatrix(stderr,M->colsize,B); } else { stop=ddf_TRUE; } if (rank==M->colsize) stop = ddf_TRUE; } while (!stop); ddf_FreeBmatrix(M->colsize,B); free(roworder); set_free(ColSelected); set_free(NopivotRow); set_free(PriorityRow); return rank; } void ddf_FindBasis(ddf_ConePtr cone, long *rank) { ddf_boolean stop, chosen, localdebug=ddf_debug; ddf_rowset NopivotRow; ddf_colset ColSelected; ddf_rowrange r; ddf_colrange j,s; *rank = 0; stop = ddf_FALSE; for (j=0;j<=cone->d;j++) cone->InitialRayIndex[j]=0; set_emptyset(cone->InitialHalfspaces); set_initialize(&ColSelected, cone->d); set_initialize(&NopivotRow, cone->m); set_copy(NopivotRow,cone->NonequalitySet); ddf_SetToIdentity(cone->d, cone->B); do { /* Find a set of rows for a basis */ ddf_SelectPivot2(cone->m, cone->d,cone->A,cone->B,cone->HalfspaceOrder,cone->OrderVector, cone->EqualitySet,cone->m, NopivotRow, ColSelected, &r, &s, &chosen); if (ddf_debug && chosen) fprintf(stderr,"Procedure ddf_FindBasis: pivot on (r,s) =(%ld, %ld).\n", r, s); if (chosen) { set_addelem(cone->InitialHalfspaces, r); set_addelem(NopivotRow, r); set_addelem(ColSelected, s); cone->InitialRayIndex[s]=r; /* cone->InitialRayIndex[s] stores the corr. row index */ (*rank)++; ddf_GaussianColumnPivot(cone->m, cone->d, cone->A, cone->B, r, s); if (localdebug) ddf_WriteBmatrix(stderr,cone->d,cone->B); } else { stop=ddf_TRUE; } if (*rank==cone->d) stop = ddf_TRUE; } while (!stop); set_free(ColSelected); set_free(NopivotRow); } void ddf_FindInitialRays(ddf_ConePtr cone, ddf_boolean *found) { ddf_rowset CandidateRows; ddf_rowrange i; long rank; ddf_RowOrderType roworder_save=ddf_LexMin; *found = ddf_FALSE; set_initialize(&CandidateRows, cone->m); if (cone->parent->InitBasisAtBottom==ddf_TRUE) { roworder_save=cone->HalfspaceOrder; cone->HalfspaceOrder=ddf_MaxIndex; cone->PreOrderedRun=ddf_FALSE; } else cone->PreOrderedRun=ddf_TRUE; if (ddf_debug) ddf_WriteBmatrix(stderr, cone->d, cone->B); for (i = 1; i <= cone->m; i++) if (!set_member(i,cone->NonequalitySet)) set_addelem(CandidateRows, i); /*all rows not in NonequalitySet are candidates for initial cone*/ ddf_FindBasis(cone, &rank); if (ddf_debug) ddf_WriteBmatrix(stderr, cone->d, cone->B); if (ddf_debug) fprintf(stderr,"ddf_FindInitialRays: rank of Amatrix = %ld\n", rank); cone->LinearityDim=cone->d - rank; if (ddf_debug) fprintf(stderr,"Linearity Dimension = %ld\n", cone->LinearityDim); if (cone->LinearityDim > 0) { ddf_ColumnReduce(cone); ddf_FindBasis(cone, &rank); } if (!set_subset(cone->EqualitySet,cone->InitialHalfspaces)) { if (ddf_debug) { fprintf(stderr,"Equality set is dependent. Equality Set and an initial basis:\n"); set_fwrite(stderr,cone->EqualitySet); set_fwrite(stderr,cone->InitialHalfspaces); }; } *found = ddf_TRUE; set_free(CandidateRows); if (cone->parent->InitBasisAtBottom==ddf_TRUE) { cone->HalfspaceOrder=roworder_save; } if (cone->HalfspaceOrder==ddf_MaxCutoff|| cone->HalfspaceOrder==ddf_MinCutoff|| cone->HalfspaceOrder==ddf_MixCutoff){ cone->PreOrderedRun=ddf_FALSE; } else cone->PreOrderedRun=ddf_TRUE; } void ddf_CheckEquality(ddf_colrange d_size, ddf_RayPtr*RP1, ddf_RayPtr*RP2, ddf_boolean *equal) { long j; if (ddf_debug) fprintf(stderr,"Check equality of two rays\n"); *equal = ddf_TRUE; j = 1; while (j <= d_size && *equal) { if (!ddf_Equal((*RP1)->Ray[j - 1],(*RP2)->Ray[j - 1])) *equal = ddf_FALSE; j++; } if (*equal) fprintf(stderr,"Equal records found !!!!\n"); } void ddf_CreateNewRay(ddf_ConePtr cone, ddf_RayPtr Ptr1, ddf_RayPtr Ptr2, ddf_rowrange ii) { /*Create a new ray by taking a linear combination of two rays*/ ddf_colrange j; myfloat a1, a2, v1, v2; static ddf_Arow NewRay; static ddf_colrange last_d=0; ddf_boolean localdebug=ddf_debug; ddf_init(a1); ddf_init(a2); ddf_init(v1); ddf_init(v2); if (last_d!=cone->d){ if (last_d>0) { for (j=0; jd,sizeof(myfloat)); for (j=0; jd; j++) ddf_init(NewRay[j]); last_d=cone->d; } ddf_AValue(&a1, cone->d, cone->A, Ptr1->Ray, ii); ddf_AValue(&a2, cone->d, cone->A, Ptr2->Ray, ii); if (localdebug) { fprintf(stderr,"CreatNewRay: Ray1 ="); ddf_WriteArow(stderr, Ptr1->Ray, cone->d); fprintf(stderr,"CreatNewRay: Ray2 ="); ddf_WriteArow(stderr, Ptr2->Ray, cone->d); } ddf_abs(v1,a1); ddf_abs(v2,a2); if (localdebug){ fprintf(stderr,"ddf_AValue1 and ABS"); ddf_WriteNumber(stderr,a1); ddf_WriteNumber(stderr,v1); fprintf(stderr,"\n"); fprintf(stderr,"ddf_AValue2 and ABS"); ddf_WriteNumber(stderr,a2); ddf_WriteNumber(stderr,v2); fprintf(stderr,"\n"); } for (j = 0; j < cone->d; j++){ ddf_LinearComb(NewRay[j], Ptr1->Ray[j],v2,Ptr2->Ray[j],v1); } if (localdebug) { fprintf(stderr,"CreatNewRay: New ray ="); ddf_WriteArow(stderr, NewRay, cone->d); } ddf_Normalize(cone->d, NewRay); if (localdebug) { fprintf(stderr,"CreatNewRay: ddf_Normalized ray ="); ddf_WriteArow(stderr, NewRay, cone->d); } ddf_AddRay(cone, NewRay); ddf_clear(a1); ddf_clear(a2); ddf_clear(v1); ddf_clear(v2); } void ddf_EvaluateARay1(ddf_rowrange i, ddf_ConePtr cone) /* Evaluate the ith component of the vector A x RD.Ray and rearrange the linked list so that the infeasible rays with respect to i will be placed consecutively from First */ { ddf_colrange j; myfloat temp,tnext; ddf_RayPtr Ptr, PrevPtr, TempPtr; ddf_init(temp); ddf_init(tnext); Ptr = cone->FirstRay; PrevPtr = cone->ArtificialRay; if (PrevPtr->Next != Ptr) { fprintf(stderr,"Error. Artificial Ray does not point to FirstRay!!!\n"); } while (Ptr != NULL) { ddf_set(temp,ddf_purezero); for (j = 0; j < cone->d; j++){ ddf_mul(tnext,cone->A[i - 1][j],Ptr->Ray[j]); ddf_add(temp,temp,tnext); } ddf_set(Ptr->ARay,temp); /* if ( temp <= -zero && Ptr != cone->FirstRay) {*/ if ( ddf_Negative(temp) && Ptr != cone->FirstRay) { /* fprintf(stderr,"Moving an infeasible record w.r.t. %ld to FirstRay\n",i); */ if (Ptr==cone->LastRay) cone->LastRay=PrevPtr; TempPtr=Ptr; Ptr = Ptr->Next; PrevPtr->Next = Ptr; cone->ArtificialRay->Next = TempPtr; TempPtr->Next = cone->FirstRay; cone->FirstRay = TempPtr; } else { PrevPtr = Ptr; Ptr = Ptr->Next; } } ddf_clear(temp); ddf_clear(tnext); } void ddf_EvaluateARay2(ddf_rowrange i, ddf_ConePtr cone) /* Evaluate the ith component of the vector A x RD.Ray and rearrange the linked list so that the infeasible rays with respect to i will be placed consecutively from First. Also for all feasible rays, "positive" rays and "zero" rays will be placed consecutively. */ { ddf_colrange j; myfloat temp,tnext; ddf_RayPtr Ptr, NextPtr; ddf_boolean zerofound=ddf_FALSE,negfound=ddf_FALSE,posfound=ddf_FALSE; if (cone==NULL || cone->TotalRayCount<=0) goto _L99; ddf_init(temp); ddf_init(tnext); cone->PosHead=NULL;cone->ZeroHead=NULL;cone->NegHead=NULL; cone->PosLast=NULL;cone->ZeroLast=NULL;cone->NegLast=NULL; Ptr = cone->FirstRay; while (Ptr != NULL) { NextPtr=Ptr->Next; /* remember the Next record */ Ptr->Next=NULL; /* then clear the Next pointer */ ddf_set(temp,ddf_purezero); for (j = 0; j < cone->d; j++){ ddf_mul(tnext,cone->A[i - 1][j],Ptr->Ray[j]); ddf_add(temp,temp,tnext); } ddf_set(Ptr->ARay,temp); /* if ( temp < -zero) {*/ if ( ddf_Negative(temp)) { if (!negfound){ negfound=ddf_TRUE; cone->NegHead=Ptr; cone->NegLast=Ptr; } else{ Ptr->Next=cone->NegHead; cone->NegHead=Ptr; } } /* else if (temp > zero){*/ else if (ddf_Positive(temp)){ if (!posfound){ posfound=ddf_TRUE; cone->PosHead=Ptr; cone->PosLast=Ptr; } else{ Ptr->Next=cone->PosHead; cone->PosHead=Ptr; } } else { if (!zerofound){ zerofound=ddf_TRUE; cone->ZeroHead=Ptr; cone->ZeroLast=Ptr; } else{ Ptr->Next=cone->ZeroHead; cone->ZeroHead=Ptr; } } Ptr=NextPtr; } /* joining three neg, pos and zero lists */ if (negfound){ /* -list nonempty */ cone->FirstRay=cone->NegHead; if (posfound){ /* -list & +list nonempty */ cone->NegLast->Next=cone->PosHead; if (zerofound){ /* -list, +list, 0list all nonempty */ cone->PosLast->Next=cone->ZeroHead; cone->LastRay=cone->ZeroLast; } else{ /* -list, +list nonempty but 0list empty */ cone->LastRay=cone->PosLast; } } else{ /* -list nonempty & +list empty */ if (zerofound){ /* -list,0list nonempty & +list empty */ cone->NegLast->Next=cone->ZeroHead; cone->LastRay=cone->ZeroLast; } else { /* -list nonempty & +list,0list empty */ cone->LastRay=cone->NegLast; } } } else if (posfound){ /* -list empty & +list nonempty */ cone->FirstRay=cone->PosHead; if (zerofound){ /* -list empty & +list,0list nonempty */ cone->PosLast->Next=cone->ZeroHead; cone->LastRay=cone->ZeroLast; } else{ /* -list,0list empty & +list nonempty */ cone->LastRay=cone->PosLast; } } else{ /* -list,+list empty & 0list nonempty */ cone->FirstRay=cone->ZeroHead; cone->LastRay=cone->ZeroLast; } cone->ArtificialRay->Next=cone->FirstRay; cone->LastRay->Next=NULL; ddf_clear(temp); ddf_clear(tnext); _L99:; } void ddf_DeleteNegativeRays(ddf_ConePtr cone) /* Eliminate the infeasible rays with respect to i which are supposed to be consecutive from the head of the ddf_Ray list, and sort the zero list assumed to be consecutive at the end of the list. */ { ddf_rowrange fii,fiitest; myfloat temp; ddf_RayPtr Ptr, PrevPtr,NextPtr,ZeroPtr1,ZeroPtr0; ddf_boolean found, completed, zerofound=ddf_FALSE,negfound=ddf_FALSE,posfound=ddf_FALSE; ddf_boolean localdebug=ddf_FALSE; ddf_init(temp); cone->PosHead=NULL;cone->ZeroHead=NULL;cone->NegHead=NULL; cone->PosLast=NULL;cone->ZeroLast=NULL;cone->NegLast=NULL; /* Delete the infeasible rays */ PrevPtr= cone->ArtificialRay; Ptr = cone->FirstRay; if (PrevPtr->Next != Ptr) fprintf(stderr,"Error at ddf_DeleteNegativeRays: ArtificialRay does not point the FirstRay.\n"); completed=ddf_FALSE; while (Ptr != NULL && !completed){ /* if ( (Ptr->ARay) < -zero ){ */ if ( ddf_Negative(Ptr->ARay)){ ddf_Eliminate(cone, &PrevPtr); Ptr=PrevPtr->Next; } else{ completed=ddf_TRUE; } } /* Sort the zero rays */ Ptr = cone->FirstRay; cone->ZeroRayCount=0; while (Ptr != NULL) { NextPtr=Ptr->Next; /* remember the Next record */ ddf_set(temp,Ptr->ARay); if (localdebug) {fprintf(stderr,"Ptr->ARay :"); ddf_WriteNumber(stderr, temp);} /* if ( temp < -zero) {*/ if ( ddf_Negative(temp)) { if (!negfound){ fprintf(stderr,"Error: An infeasible ray found after their removal\n"); negfound=ddf_TRUE; } } /* else if (temp > zero){*/ else if (ddf_Positive(temp)){ if (!posfound){ posfound=ddf_TRUE; cone->PosHead=Ptr; cone->PosLast=Ptr; } else{ cone->PosLast=Ptr; } } else { (cone->ZeroRayCount)++; if (!zerofound){ zerofound=ddf_TRUE; cone->ZeroHead=Ptr; cone->ZeroLast=Ptr; cone->ZeroLast->Next=NULL; } else{/* Find a right position to store the record sorted w.r.t. FirstInfeasIndex */ fii=Ptr->FirstInfeasIndex; found=ddf_FALSE; ZeroPtr1=NULL; for (ZeroPtr0=cone->ZeroHead; !found && ZeroPtr0!=NULL ; ZeroPtr0=ZeroPtr0->Next){ fiitest=ZeroPtr0->FirstInfeasIndex; if (fiitest >= fii){ found=ddf_TRUE; } else ZeroPtr1=ZeroPtr0; } /* fprintf(stderr,"insert position found \n %d index %ld\n",found, fiitest); */ if (!found){ /* the new record must be stored at the end of list */ cone->ZeroLast->Next=Ptr; cone->ZeroLast=Ptr; cone->ZeroLast->Next=NULL; } else{ if (ZeroPtr1==NULL){ /* store the new one at the head, and update the head ptr */ /* fprintf(stderr,"Insert at the head\n"); */ Ptr->Next=cone->ZeroHead; cone->ZeroHead=Ptr; } else{ /* store the new one inbetween ZeroPtr1 and 0 */ /* fprintf(stderr,"Insert inbetween\n"); */ Ptr->Next=ZeroPtr1->Next; ZeroPtr1->Next=Ptr; } } /* Ptr->Next=cone->ZeroHead; cone->ZeroHead=Ptr; */ } } Ptr=NextPtr; } /* joining the pos and zero lists */ if (posfound){ /* -list empty & +list nonempty */ cone->FirstRay=cone->PosHead; if (zerofound){ /* +list,0list nonempty */ cone->PosLast->Next=cone->ZeroHead; cone->LastRay=cone->ZeroLast; } else{ /* 0list empty & +list nonempty */ cone->LastRay=cone->PosLast; } } else{ /* +list empty & 0list nonempty */ cone->FirstRay=cone->ZeroHead; cone->LastRay=cone->ZeroLast; } cone->ArtificialRay->Next=cone->FirstRay; cone->LastRay->Next=NULL; ddf_clear(temp); } void ddf_FeasibilityIndices(long *fnum, long *infnum, ddf_rowrange i, ddf_ConePtr cone) { /*Evaluate the number of feasible rays and infeasible rays*/ /* w.r.t the hyperplane i*/ ddf_colrange j; myfloat temp, tnext; ddf_RayPtr Ptr; ddf_init(temp); ddf_init(tnext); *fnum = 0; *infnum = 0; Ptr = cone->FirstRay; while (Ptr != NULL) { ddf_set(temp,ddf_purezero); for (j = 0; j < cone->d; j++){ ddf_mul(tnext, cone->A[i - 1][j],Ptr->Ray[j]); ddf_add(temp, temp, tnext); } if (ddf_Nonnegative(temp)) (*fnum)++; else (*infnum)++; Ptr = Ptr->Next; } ddf_clear(temp); ddf_clear(tnext); } ddf_boolean ddf_LexSmaller(myfloat *v1, myfloat *v2, long dmax) { /* dmax is the size of vectors v1,v2 */ ddf_boolean determined, smaller; ddf_colrange j; smaller = ddf_FALSE; determined = ddf_FALSE; j = 1; do { if (!ddf_Equal(v1[j - 1],v2[j - 1])) { /* 086 */ if (ddf_Smaller(v1[j - 1],v2[j - 1])) { /*086 */ smaller = ddf_TRUE; } determined = ddf_TRUE; } else j++; } while (!(determined) && (j <= dmax)); return smaller; } ddf_boolean ddf_LexLarger(myfloat *v1, myfloat *v2, long dmax) { return ddf_LexSmaller(v2, v1, dmax); } ddf_boolean ddf_LexEqual(myfloat *v1, myfloat *v2, long dmax) { /* dmax is the size of vectors v1,v2 */ ddf_boolean determined, equal; ddf_colrange j; equal = ddf_TRUE; determined = ddf_FALSE; j = 1; do { if (!ddf_Equal(v1[j - 1],v2[j - 1])) { /* 093c */ equal = ddf_FALSE; determined = ddf_TRUE; } else { j++; } } while (!(determined) && (j <= dmax)); return equal; } void ddf_AddNewHalfspace1(ddf_ConePtr cone, ddf_rowrange hnew) /* This procedure 1 must be used with PreorderedRun=ddf_FALSE This procedure is the most elementary implementation of DD and can be used with any type of ordering, including dynamic ordering of rows, e.g. MaxCutoff, MinCutoff. The memory requirement is minimum because it does not store any adjacency among the rays. */ { ddf_RayPtr RayPtr0,RayPtr1,RayPtr2,RayPtr2s,RayPtr3; long pos1, pos2; double prevprogress, progress; myfloat value1, value2; ddf_boolean adj, equal, completed; ddf_init(value1); ddf_init(value2); ddf_EvaluateARay1(hnew, cone); /*Check feasibility of rays w.r.t. hnew and put all infeasible ones consecutively */ RayPtr0 = cone->ArtificialRay; /*Pointer pointing RayPrt1*/ RayPtr1 = cone->FirstRay; /*1st hnew-infeasible ray to scan and compare with feasible rays*/ ddf_set(value1,cone->FirstRay->ARay); if (ddf_Nonnegative(value1)) { if (cone->RayCount==cone->WeaklyFeasibleRayCount) cone->CompStatus=ddf_AllFound; goto _L99; /* Sicne there is no hnew-infeasible ray and nothing to do */ } else { RayPtr2s = RayPtr1->Next;/* RayPtr2s must point the first feasible ray */ pos2=1; while (RayPtr2s!=NULL && ddf_Negative(RayPtr2s->ARay)) { RayPtr2s = RayPtr2s->Next; pos2++; } } if (RayPtr2s==NULL) { cone->FirstRay=NULL; cone->ArtificialRay->Next=cone->FirstRay; cone->RayCount=0; cone->CompStatus=ddf_AllFound; goto _L99; /* All rays are infeasible, and the computation must stop */ } RayPtr2 = RayPtr2s; /*2nd feasible ray to scan and compare with 1st*/ RayPtr3 = cone->LastRay; /*Last feasible for scanning*/ prevprogress=-10.0; pos1 = 1; completed=ddf_FALSE; while ((RayPtr1 != RayPtr2s) && !completed) { ddf_set(value1,RayPtr1->ARay); ddf_set(value2,RayPtr2->ARay); ddf_CheckEquality(cone->d, &RayPtr1, &RayPtr2, &equal); if ((ddf_Positive(value1) && ddf_Negative(value2)) || (ddf_Negative(value1) && ddf_Positive(value2))){ ddf_CheckAdjacency(cone, &RayPtr1, &RayPtr2, &adj); if (adj) ddf_CreateNewRay(cone, RayPtr1, RayPtr2, hnew); } if (RayPtr2 != RayPtr3) { RayPtr2 = RayPtr2->Next; continue; } if (ddf_Negative(value1) || equal) { ddf_Eliminate(cone, &RayPtr0); RayPtr1 = RayPtr0->Next; RayPtr2 = RayPtr2s; } else { completed=ddf_TRUE; } pos1++; progress = 100.0 * ((double)pos1 / pos2) * (2.0 * pos2 - pos1) / pos2; if (progress-prevprogress>=10 && pos1%10==0 && ddf_debug) { fprintf(stderr,"*Progress of iteration %5ld(/%ld): %4ld/%4ld => %4.1f%% done\n", cone->Iteration, cone->m, pos1, pos2, progress); prevprogress=progress; } } if (cone->RayCount==cone->WeaklyFeasibleRayCount) cone->CompStatus=ddf_AllFound; _L99:; ddf_clear(value1); ddf_clear(value2); } void ddf_AddNewHalfspace2(ddf_ConePtr cone, ddf_rowrange hnew) /* This procedure must be used under PreOrderedRun mode */ { ddf_RayPtr RayPtr0,RayPtr1,RayPtr2; ddf_AdjacencyType *EdgePtr, *EdgePtr0; long pos1; ddf_rowrange fii1, fii2; ddf_boolean localdebug=ddf_FALSE; ddf_EvaluateARay2(hnew, cone); /* Check feasibility of rays w.r.t. hnew and sort them. ( -rays, +rays, 0rays)*/ if (cone->PosHead==NULL && cone->ZeroHead==NULL) { cone->FirstRay=NULL; cone->ArtificialRay->Next=cone->FirstRay; cone->RayCount=0; cone->CompStatus=ddf_AllFound; goto _L99; /* All rays are infeasible, and the computation must stop */ } if (localdebug){ pos1=0; fprintf(stderr,"(pos, FirstInfeasIndex, A Ray)=\n"); for (RayPtr0=cone->FirstRay; RayPtr0!=NULL; RayPtr0=RayPtr0->Next){ pos1++; fprintf(stderr,"(%ld,%ld,",pos1,RayPtr0->FirstInfeasIndex); ddf_WriteNumber(stderr,RayPtr0->ARay); fprintf(stderr,") "); } fprintf(stderr,"\n"); } if (cone->ZeroHead==NULL) cone->ZeroHead=cone->LastRay; EdgePtr=cone->Edges[cone->Iteration]; while (EdgePtr!=NULL){ RayPtr1=EdgePtr->Ray1; RayPtr2=EdgePtr->Ray2; fii1=RayPtr1->FirstInfeasIndex; ddf_CreateNewRay(cone, RayPtr1, RayPtr2, hnew); fii2=cone->LastRay->FirstInfeasIndex; if (fii1 != fii2) ddf_ConditionalAddEdge(cone,RayPtr1,cone->LastRay,cone->PosHead); EdgePtr0=EdgePtr; EdgePtr=EdgePtr->Next; free(EdgePtr0); (cone->EdgeCount)--; } cone->Edges[cone->Iteration]=NULL; ddf_DeleteNegativeRays(cone); set_addelem(cone->AddedHalfspaces, hnew); if (cone->Iterationm){ if (cone->ZeroHead!=NULL && cone->ZeroHead!=cone->LastRay){ if (cone->ZeroRayCount>200 && ddf_debug) fprintf(stderr,"*New edges being scanned...\n"); ddf_UpdateEdges(cone, cone->ZeroHead, cone->LastRay); } } if (cone->RayCount==cone->WeaklyFeasibleRayCount) cone->CompStatus=ddf_AllFound; _L99:; } void ddf_SelectNextHalfspace0(ddf_ConePtr cone, ddf_rowset excluded, ddf_rowrange *hnext) { /*A natural way to choose the next hyperplane. Simply the largest index*/ long i; ddf_boolean determined; i = cone->m; determined = ddf_FALSE; do { if (set_member(i, excluded)) i--; else determined = ddf_TRUE; } while (!determined && i>=1); if (determined) *hnext = i; else *hnext = 0; } void ddf_SelectNextHalfspace1(ddf_ConePtr cone, ddf_rowset excluded, ddf_rowrange *hnext) { /*Natural way to choose the next hyperplane. Simply the least index*/ long i; ddf_boolean determined; i = 1; determined = ddf_FALSE; do { if (set_member(i, excluded)) i++; else determined = ddf_TRUE; } while (!determined && i<=cone->m); if (determined) *hnext = i; else *hnext=0; } void ddf_SelectNextHalfspace2(ddf_ConePtr cone, ddf_rowset excluded, ddf_rowrange *hnext) { /*Choose the next hyperplane with maximum infeasibility*/ long i, fea, inf, infmin, fi=0; /*feasibility and infeasibility numbers*/ infmin = cone->RayCount + 1; for (i = 1; i <= cone->m; i++) { if (!set_member(i, excluded)) { ddf_FeasibilityIndices(&fea, &inf, i, cone); if (inf < infmin) { infmin = inf; fi = fea; *hnext = i; } } } if (ddf_debug) { fprintf(stderr,"*infeasible rays (min) =%5ld, #feas rays =%5ld\n", infmin, fi); } } void ddf_SelectNextHalfspace3(ddf_ConePtr cone, ddf_rowset excluded, ddf_rowrange *hnext) { /*Choose the next hyperplane with maximum infeasibility*/ long i, fea, inf, infmax, fi=0; /*feasibility and infeasibility numbers*/ ddf_boolean localdebug=ddf_debug; infmax = -1; for (i = 1; i <= cone->m; i++) { if (!set_member(i, excluded)) { ddf_FeasibilityIndices(&fea, &inf, i, cone); if (inf > infmax) { infmax = inf; fi = fea; *hnext = i; } } } if (localdebug) { fprintf(stderr,"*infeasible rays (max) =%5ld, #feas rays =%5ld\n", infmax, fi); } } void ddf_SelectNextHalfspace4(ddf_ConePtr cone, ddf_rowset excluded, ddf_rowrange *hnext) { /*Choose the next hyperplane with the most unbalanced cut*/ long i, fea, inf, max, tmax, fi=0, infi=0; /*feasibility and infeasibility numbers*/ max = -1; for (i = 1; i <= cone->m; i++) { if (!set_member(i, excluded)) { ddf_FeasibilityIndices(&fea, &inf, i, cone); if (fea <= inf) tmax = inf; else tmax = fea; if (tmax > max) { max = tmax; fi = fea; infi = inf; *hnext = i; } } } if (!ddf_debug) return; if (max == fi) { fprintf(stderr,"*infeasible rays (min) =%5ld, #feas rays =%5ld\n", infi, fi); } else { fprintf(stderr,"*infeasible rays (max) =%5ld, #feas rays =%5ld\n", infi, fi); } } void ddf_SelectNextHalfspace5(ddf_ConePtr cone, ddf_rowset excluded, ddf_rowrange *hnext) { /*Choose the next hyperplane which is lexico-min*/ long i, minindex; myfloat *v1, *v2; minindex = 0; v1 = NULL; for (i = 1; i <= cone->m; i++) { if (!set_member(i, excluded)) { v2 = cone->A[i - 1]; if (minindex == 0) { minindex = i; v1=v2; } else if (ddf_LexSmaller(v2,v1,cone->d)) { minindex = i; v1=v2; } } } *hnext = minindex; } void ddf_SelectNextHalfspace6(ddf_ConePtr cone, ddf_rowset excluded, ddf_rowrange *hnext) { /*Choose the next hyperplane which is lexico-max*/ long i, maxindex; myfloat *v1, *v2; maxindex = 0; v1 = NULL; for (i = 1; i <= cone->m; i++) { if (!set_member(i, excluded)) { v2= cone->A[i - 1]; if (maxindex == 0) { maxindex = i; v1=v2; } else if (ddf_LexLarger(v2, v1, cone->d)) { maxindex = i; v1=v2; } } } *hnext = maxindex; } void ddf_UniqueRows(ddf_rowindex OV, long p, long r, ddf_Amatrix A, long dmax, ddf_rowset preferred, long *uniqrows) { /* Select a subset of rows of A (with range [p, q] up to dimension dmax) by removing duplicates. When a row subset preferred is nonempty, those row indices in the set have priority. If two priority rows define the same row vector, one is chosen. For a selected unique row i, OV[i] returns a new position of the unique row i. For other nonuniqu row i, OV[i] returns a negative of the original row j dominating i. Thus the original contents of OV[p..r] will be rewritten. Other components remain the same. *uniqrows returns the number of unique rows. */ long i,iuniq,j; myfloat *x; ddf_boolean localdebug=ddf_FALSE; if (p<=0 || p > r) goto _L99; iuniq=p; j=1; /* the first unique row candidate */ x=A[p-1]; OV[p]=j; /* tentative row index of the candidate */ for (i=p+1;i<=r; i++){ if (!ddf_LexEqual(x,A[i-1],dmax)) { /* a new row vector found. */ iuniq=i; j=j+1; OV[i]=j; /* Tentatively register the row i. */ x=A[i-1]; } else { /* rows are equal */ if (set_member(i, preferred) && !set_member(iuniq, preferred)){ OV[iuniq]=-i; /* the row iuniq is dominated by the row i */ iuniq=i; /* the row i is preferred. Change the candidate. */ OV[i]=j; /* the row i is tentatively registered. */ x=A[i-1]; } else { OV[i]=-iuniq; /* the row iuniq is dominated by the row i */ } } } *uniqrows=j; if (localdebug){ printf("The number of unique rows are %ld\n with order vector",*uniqrows); for (i=p;i<=r; i++){ printf(" %ld:%ld ",i,OV[i]); } printf("\n"); } _L99:; } long ddf_Partition(ddf_rowindex OV, long p, long r, ddf_Amatrix A, long dmax) { myfloat *x; long i,j,ovi; x=A[OV[p]-1]; i=p-1; j=r+1; while (ddf_TRUE){ do{ j--; } while (ddf_LexLarger(A[OV[j]-1],x,dmax)); do{ i++; } while (ddf_LexSmaller(A[OV[i]-1],x,dmax)); if (i1 ; j--) { r=rand(); u=r/rand_max; xk=(double)(j*u +1); k=(long)xk; if (localdebug) fprintf(stderr,"u=%g, k=%ld, r=%g, randmax= %g\n",u,k,r,rand_max); ovj=OV[j]; OV[j]=OV[k]; OV[k]=ovj; if (localdebug) fprintf(stderr,"row %ld is exchanged with %ld\n",j,k); } } void ddf_ComputeRowOrderVector(ddf_ConePtr cone) { long i,itemp; cone->OrderVector[0]=0; switch (cone->HalfspaceOrder){ case ddf_MaxIndex: for(i=1; i<=cone->m; i++) cone->OrderVector[i]=cone->m-i+1; break; case ddf_MinIndex: for(i=1; i<=cone->m; i++) cone->OrderVector[i]=i; break; case ddf_LexMin: case ddf_MinCutoff: case ddf_MixCutoff: case ddf_MaxCutoff: for(i=1; i<=cone->m; i++) cone->OrderVector[i]=i; ddf_RandomPermutation(cone->OrderVector, cone->m, cone->rseed); ddf_QuickSort(cone->OrderVector, 1, cone->m, cone->A, cone->d); break; case ddf_LexMax: for(i=1; i<=cone->m; i++) cone->OrderVector[i]=i; ddf_RandomPermutation(cone->OrderVector, cone->m, cone->rseed); ddf_QuickSort(cone->OrderVector, 1, cone->m, cone->A, cone->d); for(i=1; i<=cone->m/2;i++){ /* just reverse the order */ itemp=cone->OrderVector[i]; cone->OrderVector[i]=cone->OrderVector[cone->m-i+1]; cone->OrderVector[cone->m-i+1]=itemp; } break; case ddf_RandomRow: for(i=1; i<=cone->m; i++) cone->OrderVector[i]=i; ddf_RandomPermutation(cone->OrderVector, cone->m, cone->rseed); break; } } void ddf_UpdateRowOrderVector(ddf_ConePtr cone, ddf_rowset PriorityRows) /* Update the RowOrder vector to shift selected rows in highest order. */ { ddf_rowrange i,j,k,j1=0,oj=0; long rr; ddf_boolean found, localdebug=ddf_FALSE; if (ddf_debug) localdebug=ddf_TRUE; found=ddf_TRUE; rr=set_card(PriorityRows); if (localdebug) set_fwrite(stderr,PriorityRows); for (i=1; i<=rr; i++){ found=ddf_FALSE; for (j=i; j<=cone->m && !found; j++){ oj=cone->OrderVector[j]; if (set_member(oj, PriorityRows)){ found=ddf_TRUE; if (localdebug) fprintf(stderr,"%ldth in sorted list (row %ld) is in PriorityRows\n", j, oj); j1=j; } } if (found){ if (j1>i) { /* shift everything lower: ov[i]->cone->ov[i+1]..ov[j1-1]->cone->ov[j1] */ for (k=j1; k>=i; k--) cone->OrderVector[k]=cone->OrderVector[k-1]; cone->OrderVector[i]=oj; if (localdebug){ fprintf(stderr,"OrderVector updated to:\n"); for (j = 1; j <= cone->m; j++) fprintf(stderr," %2ld", cone->OrderVector[j]); fprintf(stderr,"\n"); } } } else { fprintf(stderr,"UpdateRowOrder: Error.\n"); goto _L99; } } _L99:; } void ddf_SelectPreorderedNext(ddf_ConePtr cone, ddf_rowset excluded, ddf_rowrange *hh) { ddf_rowrange i,k; *hh=0; for (i=1; i<=cone->m && *hh==0; i++){ k=cone->OrderVector[i]; if (!set_member(k, excluded)) *hh=k ; } } void ddf_SelectNextHalfspace(ddf_ConePtr cone, ddf_rowset excluded, ddf_rowrange *hh) { if (cone->PreOrderedRun){ if (ddf_debug) { fprintf(stderr,"debug ddf_SelectNextHalfspace: Use PreorderNext\n"); } ddf_SelectPreorderedNext(cone, excluded, hh); } else { if (ddf_debug) { fprintf(stderr,"debug ddf_SelectNextHalfspace: Use DynamicOrderedNext\n"); } switch (cone->HalfspaceOrder) { case ddf_MaxIndex: ddf_SelectNextHalfspace0(cone, excluded, hh); break; case ddf_MinIndex: ddf_SelectNextHalfspace1(cone, excluded, hh); break; case ddf_MinCutoff: ddf_SelectNextHalfspace2(cone, excluded, hh); break; case ddf_MaxCutoff: ddf_SelectNextHalfspace3(cone, excluded, hh); break; case ddf_MixCutoff: ddf_SelectNextHalfspace4(cone, excluded, hh); break; default: ddf_SelectNextHalfspace0(cone, excluded, hh); break; } } } ddf_boolean ddf_Nonnegative(myfloat val) { /* if (val>=-ddf_zero) return ddf_TRUE; */ if (ddf_cmp(val,ddf_minuszero)>=0) return ddf_TRUE; else return ddf_FALSE; } ddf_boolean ddf_Nonpositive(myfloat val) { /* if (val<=ddf_zero) return ddf_TRUE; */ if (ddf_cmp(val,ddf_zero)<=0) return ddf_TRUE; else return ddf_FALSE; } ddf_boolean ddf_Positive(myfloat val) { return !ddf_Nonpositive(val); } ddf_boolean ddf_Negative(myfloat val) { return !ddf_Nonnegative(val); } ddf_boolean ddf_EqualToZero(myfloat val) { return (ddf_Nonnegative(val) && ddf_Nonpositive(val)); } ddf_boolean ddf_Nonzero(myfloat val) { return (ddf_Positive(val) || ddf_Negative(val)); } ddf_boolean ddf_Equal(myfloat val1,myfloat val2) { return (!ddf_Larger(val1,val2) && !ddf_Smaller(val1,val2)); } ddf_boolean ddf_Larger(myfloat val1,myfloat val2) { myfloat temp; ddf_boolean answer; ddf_init(temp); ddf_sub(temp,val1, val2); answer=ddf_Positive(temp); ddf_clear(temp); return answer; } ddf_boolean ddf_Smaller(myfloat val1,myfloat val2) { return ddf_Larger(val2,val1); } void ddf_abs(myfloat absval, myfloat val) { if (ddf_Negative(val)) ddf_neg(absval,val); else ddf_set(absval,val); } void ddf_LinearComb(myfloat lc, myfloat v1, myfloat c1, myfloat v2, myfloat c2) /* lc := v1 * c1 + v2 * c2 */ { myfloat temp; ddf_init(temp); ddf_mul(lc,v1,c1); ddf_mul(temp,v2,c2); ddf_add(lc,lc,temp); ddf_clear(temp); } void ddf_InnerProduct(myfloat prod, ddf_colrange d, ddf_Arow v1, ddf_Arow v2) { myfloat temp; ddf_colrange j; ddf_boolean localdebug=ddf_FALSE; ddf_init(temp); ddf_set_si(prod, 0); for (j = 0; j < d; j++){ ddf_mul(temp,v1[j],v2[j]); ddf_add(prod,prod,temp); } if (localdebug) { fprintf(stderr,"InnerProduct:\n"); ddf_WriteArow(stderr, v1, d); ddf_WriteArow(stderr, v2, d); fprintf(stderr,"prod ="); ddf_WriteNumber(stderr, prod); fprintf(stderr,"\n"); } ddf_clear(temp); } /* end of cddcore.c */ cddlib-094g/lib-src-gmp/cddio.c000077700000000000000000000000001206770251100213122../lib-src/cddio.custar00rootroot00000000000000cddlib-094g/lib-src-gmp/cddio_f.c000066400000000000000000001553351206770251100166440ustar00rootroot00000000000000/* automatically generated by sed scripts from the c source named below: */ /* cddio.c: Basic Input and Output Procedures for cddlib written by Komei Fukuda, fukuda@ifor.math.ethz.ch Version 0.94g, March 23, 2012 */ /* cddlib : C-library of the double description method for computing all vertices and extreme rays of the polyhedron P= {x : b - A x >= 0}. Please read COPYING (GNU General Public Licence) and the manual cddlibman.tex for detail. */ #include "setoper.h" /* set operation library header (Ver. June 1, 2000 or later) */ #include "cdd_f.h" #include #include #include #include #include /* void ddf_fread_rational_value (FILE *, myfloat *); */ void ddf_SetLinearity(ddf_MatrixPtr, char *); void ddf_SetInputFile(FILE **f,ddf_DataFileType inputfile,ddf_ErrorType *Error) { int opened=0,stop,quit=0; int i,dotpos=0,trial=0; char ch; char *tempname; *Error=ddf_NoError; while (!opened && !quit) { fprintf(stderr,"\n>> Input file: "); scanf("%s",inputfile); ch=getchar(); stop=ddf_FALSE; for (i=0; i5) { *Error=ddf_IFileNotFound; quit=1; } } } } void ddf_SetWriteFileName(ddf_DataFileType inputfile, ddf_DataFileType outfile, char cflag, ddf_RepresentationType rep) { char *extension; ddf_DataFileType ifilehead=""; int i,dotpos; switch (cflag) { case 'o': switch (rep) { case ddf_Generator: extension=".ine"; break; /* output file for ine data */ case ddf_Inequality: extension=".ext"; break; /* output file for ext data */ default: extension=".xxx";break; } break; case 'a': /* decide for output adjacence */ if (rep==ddf_Inequality) extension=".ead"; /* adjacency file for ext data */ else extension=".iad"; /* adjacency file for ine data */ break; case 'i': /* decide for output incidence */ if (rep==ddf_Inequality) extension=".ecd"; /* ext incidence file */ else extension=".icd"; /* ine incidence file */ break; case 'n': /* decide for input incidence */ if (rep==ddf_Inequality) extension=".icd"; /* ine incidence file */ else extension=".ecd"; /* ext incidence file */ break; case 'j': /* decide for input adjacency */ if (rep==ddf_Inequality) extension=".iad"; /* ine adjacency file */ else extension=".ead"; /* ext adjacency file */ break; case 'l': extension=".ddl";break; /* log file */ case 'd': extension=".dex";break; /* decomposition output */ case 'p': extension="sub.ine";break; /* preprojection sub inequality file */ case 'v': extension=".solved";break; /* verify_input file */ case 's': extension=".lps";break; /* LP solution file */ default: extension=".xxx";break; } dotpos=-1; for (i=0; i< strlen(inputfile); i++){ if (inputfile[i]=='.') dotpos=i; } if (dotpos>1) strncpy(ifilehead, inputfile, dotpos); else strcpy(ifilehead,inputfile); if (strlen(inputfile)<=0) strcpy(ifilehead,"tempcdd"); strcpy(outfile,ifilehead); strcat(outfile,extension); if (strcmp(inputfile, outfile)==0) { strcpy(outfile,inputfile); strcat(outfile,extension); } /* fprintf(stderr,"outfile name = %s\n",outfile); */ } ddf_NumberType ddf_GetNumberType(const char *line) { ddf_NumberType nt; if (strncmp(line, "integer", 7)==0) { nt = ddf_Integer; } else if (strncmp(line, "rational", 8)==0) { nt = ddf_Rational; } else if (strncmp(line, "real", 4)==0) { nt = ddf_Real; } else { nt=ddf_Unknown; } return nt; } void ddf_ProcessCommandLine(FILE *f, ddf_MatrixPtr M, const char *line) { char newline[ddf_linelenmax]; ddf_colrange j; myfloat value; ddf_init(value); if (strncmp(line, "hull", 4)==0) { M->representation = ddf_Generator; } if (strncmp(line, "debug", 5)==0) { ddf_debug = ddf_TRUE; #ifdef ddf_GMPRATIONAL ddf_debug = ddf_TRUE; #endif } if (strncmp(line, "partial_enum", 12)==0 || strncmp(line, "equality", 8)==0 || strncmp(line, "linearity", 9)==0 ) { fgets(newline,ddf_linelenmax,f); ddf_SetLinearity(M,newline); } if (strncmp(line, "maximize", 8)==0 || strncmp(line, "minimize", 8)==0) { if (strncmp(line, "maximize", 8)==0) M->objective=ddf_LPmax; else M->objective=ddf_LPmin; for (j = 1; j <= M->colsize; j++) { if (M->numbtype==ddf_Real) { #if !defined(ddf_GMPRATIONAL) double rvalue; fscanf(f, "%lf", &rvalue); ddf_set_d(value, rvalue); #endif } else { ddf_fread_rational_value (f, value); } ddf_set(M->rowvec[j - 1],value); if (ddf_debug) {fprintf(stderr,"cost(%5ld) =",j); ddf_WriteNumber(stderr,value);} } /*of j*/ } ddf_clear(value); } ddf_boolean ddf_AppendMatrix2Poly(ddf_PolyhedraPtr *poly, ddf_MatrixPtr M) { ddf_boolean success=ddf_FALSE; ddf_MatrixPtr Mpoly,Mnew=NULL; ddf_ErrorType err; if ((*poly)!=NULL && (*poly)->m >=0 && (*poly)->d>=0 && (*poly)->d==M->colsize && M->rowsize>0){ Mpoly=ddf_CopyInput(*poly); Mnew=ddf_AppendMatrix(Mpoly, M); ddf_FreePolyhedra(*poly); *poly=ddf_DDMatrix2Poly(Mnew,&err); ddf_FreeMatrix(Mpoly); ddf_FreeMatrix(Mnew); if (err==ddf_NoError) success=ddf_TRUE; } return success; } ddf_MatrixPtr ddf_MatrixCopy(ddf_MatrixPtr M) { ddf_MatrixPtr Mcopy=NULL; ddf_rowrange m; ddf_colrange d; m= M->rowsize; d= M->colsize; if (m >=0 && d >=0){ Mcopy=ddf_CreateMatrix(m, d); ddf_CopyAmatrix(Mcopy->matrix, M->matrix, m, d); ddf_CopyArow(Mcopy->rowvec, M->rowvec, d); set_copy(Mcopy->linset,M->linset); Mcopy->numbtype=M->numbtype; Mcopy->representation=M->representation; Mcopy->objective=M->objective; } return Mcopy; } ddf_MatrixPtr ddf_CopyMatrix(ddf_MatrixPtr M) { return ddf_MatrixCopy(M); } ddf_MatrixPtr ddf_MatrixNormalizedCopy(ddf_MatrixPtr M) { ddf_MatrixPtr Mcopy=NULL; ddf_rowrange m; ddf_colrange d; m= M->rowsize; d= M->colsize; if (m >=0 && d >=0){ Mcopy=ddf_CreateMatrix(m, d); ddf_CopyNormalizedAmatrix(Mcopy->matrix, M->matrix, m, d); ddf_CopyArow(Mcopy->rowvec, M->rowvec, d); set_copy(Mcopy->linset,M->linset); Mcopy->numbtype=M->numbtype; Mcopy->representation=M->representation; Mcopy->objective=M->objective; } return Mcopy; } ddf_MatrixPtr ddf_MatrixAppend(ddf_MatrixPtr M1, ddf_MatrixPtr M2) { ddf_MatrixPtr M=NULL; ddf_rowrange i, m,m1,m2; ddf_colrange j, d,d1,d2; m1=M1->rowsize; d1=M1->colsize; m2=M2->rowsize; d2=M2->colsize; m=m1+m2; d=d1; if (d1>=0 && d1==d2 && m1>=0 && m2>=0){ M=ddf_CreateMatrix(m, d); ddf_CopyAmatrix(M->matrix, M1->matrix, m1, d); ddf_CopyArow(M->rowvec, M1->rowvec, d); for (i=0; ilinset)) set_addelem(M->linset,i+1); } for (i=0; imatrix[m1+i][j],M2->matrix[i][j]); /* append the second matrix */ if (set_member(i+1,M2->linset)) set_addelem(M->linset,m1+i+1); } M->numbtype=M1->numbtype; } return M; } ddf_MatrixPtr ddf_MatrixNormalizedSortedCopy(ddf_MatrixPtr M,ddf_rowindex *newpos) /* 094 */ { /* Sort the rows of Amatrix lexicographically, and return a link to this sorted copy. The vector newpos is allocated, where newpos[i] returns the new row index of the original row i (i=1,...,M->rowsize). */ ddf_MatrixPtr Mcopy=NULL,Mnorm=NULL; ddf_rowrange m,i; ddf_colrange d; ddf_rowindex roworder; /* if (newpos!=NULL) free(newpos); */ m= M->rowsize; d= M->colsize; roworder=(long *)calloc(m+1,sizeof(long)); *newpos=(long *)calloc(m+1,sizeof(long)); if (m >=0 && d >=0){ Mnorm=ddf_MatrixNormalizedCopy(M); Mcopy=ddf_CreateMatrix(m, d); for(i=1; i<=m; i++) roworder[i]=i; ddf_RandomPermutation(roworder, m, 123); ddf_QuickSort(roworder,1,m,Mnorm->matrix,d); ddf_PermuteCopyAmatrix(Mcopy->matrix, Mnorm->matrix, m, d, roworder); ddf_CopyArow(Mcopy->rowvec, M->rowvec, d); for(i=1; i<=m; i++) { if (set_member(roworder[i],M->linset)) set_addelem(Mcopy->linset, i); (*newpos)[roworder[i]]=i; } Mcopy->numbtype=M->numbtype; Mcopy->representation=M->representation; Mcopy->objective=M->objective; ddf_FreeMatrix(Mnorm); } free(roworder); return Mcopy; } ddf_MatrixPtr ddf_MatrixUniqueCopy(ddf_MatrixPtr M,ddf_rowindex *newpos) { /* Remove row duplicates, and return a link to this sorted copy. Linearity rows have priority over the other rows. It is better to call this after sorting with ddf_MatrixNormalizedSortedCopy. The vector newpos is allocated, where *newpos[i] returns the new row index of the original row i (i=1,...,M->rowsize). *newpos[i] is negative if the original row is dominated by -*newpos[i] and eliminated in the new copy. */ ddf_MatrixPtr Mcopy=NULL; ddf_rowrange m,i,uniqrows; ddf_rowset preferredrows; ddf_colrange d; ddf_rowindex roworder; /* if (newpos!=NULL) free(newpos); */ m= M->rowsize; d= M->colsize; preferredrows=M->linset; roworder=(long *)calloc(m+1,sizeof(long)); if (m >=0 && d >=0){ for(i=1; i<=m; i++) roworder[i]=i; ddf_UniqueRows(roworder, 1, m, M->matrix, d,preferredrows, &uniqrows); Mcopy=ddf_CreateMatrix(uniqrows, d); ddf_PermutePartialCopyAmatrix(Mcopy->matrix, M->matrix, m, d, roworder,1,m); ddf_CopyArow(Mcopy->rowvec, M->rowvec, d); for(i=1; i<=m; i++) { if (roworder[i]>0 && set_member(i,M->linset)) set_addelem(Mcopy->linset, roworder[i]); } Mcopy->numbtype=M->numbtype; Mcopy->representation=M->representation; Mcopy->objective=M->objective; } *newpos=roworder; return Mcopy; } ddf_MatrixPtr ddf_MatrixNormalizedSortedUniqueCopy(ddf_MatrixPtr M,ddf_rowindex *newpos) /* 094 */ { /* Sort and remove row duplicates, and return a link to this sorted copy. Linearity rows have priority over the other rows. It is better to call this after sorting with ddf_MatrixNormalizedSortedCopy. The vector newpos is allocated, where *newpos[i] returns the new row index of the original row i (i=1,...,M->rowsize). *newpos[i] is negative if the original row is dominated by -*newpos[i] and eliminated in the new copy. */ ddf_MatrixPtr M1=NULL,M2=NULL; ddf_rowrange m,i; ddf_colrange d; ddf_rowindex newpos1=NULL,newpos1r=NULL,newpos2=NULL; /* if (newpos!=NULL) free(newpos); */ m= M->rowsize; d= M->colsize; *newpos=(long *)calloc(m+1,sizeof(long)); newpos1r=(long *)calloc(m+1,sizeof(long)); if (m>=0 && d>=0){ M1=ddf_MatrixNormalizedSortedCopy(M,&newpos1); for (i=1; i<=m;i++) newpos1r[newpos1[i]]=i; /* reverse of newpos1 */ M2=ddf_MatrixUniqueCopy(M1,&newpos2); set_emptyset(M2->linset); for(i=1; i<=m; i++) { if (newpos2[newpos1[i]]>0){ printf("newpos1[%ld]=%ld, newpos2[newpos1[%ld]]=%ld\n",i,newpos1[i], i,newpos2[newpos1[i]]); if (set_member(i,M->linset)) set_addelem(M2->linset, newpos2[newpos1[i]]); (*newpos)[i]=newpos2[newpos1[i]]; } else { (*newpos)[i]=-newpos1r[-newpos2[newpos1[i]]]; } } ddf_FreeMatrix(M1);free(newpos1);free(newpos2);free(newpos1r); } return M2; } ddf_MatrixPtr ddf_MatrixSortedUniqueCopy(ddf_MatrixPtr M,ddf_rowindex *newpos) /* 094 */ { /* Same as ddf_MatrixNormalizedSortedUniqueCopy except that it returns a unnormalized origial data with original ordering. */ ddf_MatrixPtr M1=NULL,M2=NULL; ddf_rowrange m,i,k,ii; ddf_colrange d; ddf_rowindex newpos1=NULL,newpos1r=NULL,newpos2=NULL; /* if (newpos!=NULL) free(newpos); */ m= M->rowsize; d= M->colsize; *newpos=(long *)calloc(m+1,sizeof(long)); newpos1r=(long *)calloc(m+1,sizeof(long)); if (m>=0 && d>=0){ M1=ddf_MatrixNormalizedSortedCopy(M,&newpos1); for (i=1; i<=m;i++) newpos1r[newpos1[i]]=i; /* reverse of newpos1 */ M2=ddf_MatrixUniqueCopy(M1,&newpos2); ddf_FreeMatrix(M1); set_emptyset(M2->linset); for(i=1; i<=m; i++) { if (newpos2[newpos1[i]]>0){ if (set_member(i,M->linset)) set_addelem(M2->linset, newpos2[newpos1[i]]); (*newpos)[i]=newpos2[newpos1[i]]; } else { (*newpos)[i]=-newpos1r[-newpos2[newpos1[i]]]; } } ii=0; set_emptyset(M2->linset); for (i = 1; i<=m ; i++) { k=(*newpos)[i]; if (k>0) { ii+=1; (*newpos)[i]=ii; ddf_CopyArow(M2->matrix[ii-1],M->matrix[i-1],d); if (set_member(i,M->linset)) set_addelem(M2->linset, ii); } } free(newpos1);free(newpos2);free(newpos1r); } return M2; } ddf_MatrixPtr ddf_AppendMatrix(ddf_MatrixPtr M1, ddf_MatrixPtr M2) { return ddf_MatrixAppend(M1,M2); } int ddf_MatrixAppendTo(ddf_MatrixPtr *M1, ddf_MatrixPtr M2) { ddf_MatrixPtr M=NULL; ddf_rowrange i, m,m1,m2; ddf_colrange j, d,d1,d2; ddf_boolean success=0; m1=(*M1)->rowsize; d1=(*M1)->colsize; m2=M2->rowsize; d2=M2->colsize; m=m1+m2; d=d1; if (d1>=0 && d1==d2 && m1>=0 && m2>=0){ M=ddf_CreateMatrix(m, d); ddf_CopyAmatrix(M->matrix, (*M1)->matrix, m1, d); ddf_CopyArow(M->rowvec, (*M1)->rowvec, d); for (i=0; ilinset)) set_addelem(M->linset,i+1); } for (i=0; imatrix[m1+i][j],M2->matrix[i][j]); /* append the second matrix */ if (set_member(i+1,M2->linset)) set_addelem(M->linset,m1+i+1); } M->numbtype=(*M1)->numbtype; ddf_FreeMatrix(*M1); *M1=M; success=1; } return success; } int ddf_MatrixRowRemove(ddf_MatrixPtr *M, ddf_rowrange r) /* 092 */ { ddf_rowrange i,m; ddf_colrange d; ddf_boolean success=0; m=(*M)->rowsize; d=(*M)->colsize; if (r >= 1 && r <=m){ (*M)->rowsize=m-1; ddf_FreeArow(d, (*M)->matrix[r-1]); set_delelem((*M)->linset,r); /* slide the row headers */ for (i=r; imatrix[i-1]=(*M)->matrix[i]; if (set_member(i+1, (*M)->linset)){ set_delelem((*M)->linset,i+1); set_addelem((*M)->linset,i); } } success=1; } return success; } int ddf_MatrixRowRemove2(ddf_MatrixPtr *M, ddf_rowrange r, ddf_rowindex *newpos) /* 094 */ { ddf_rowrange i,m; ddf_colrange d; ddf_boolean success=0; ddf_rowindex roworder; m=(*M)->rowsize; d=(*M)->colsize; if (r >= 1 && r <=m){ roworder=(long *)calloc(m+1,sizeof(long)); (*M)->rowsize=m-1; ddf_FreeArow(d, (*M)->matrix[r-1]); set_delelem((*M)->linset,r); /* slide the row headers */ for (i=1; imatrix[i-1]=(*M)->matrix[i]; roworder[i+1]=i; if (set_member(i+1, (*M)->linset)){ set_delelem((*M)->linset,i+1); set_addelem((*M)->linset,i); } } success=1; } return success; } ddf_MatrixPtr ddf_MatrixSubmatrix(ddf_MatrixPtr M, ddf_rowset delset) /* 092 */ { ddf_MatrixPtr Msub=NULL; ddf_rowrange i,isub=1, m,msub; ddf_colrange d; m= M->rowsize; d= M->colsize; msub=m; if (m >=0 && d >=0){ for (i=1; i<=m; i++) { if (set_member(i,delset)) msub-=1; } Msub=ddf_CreateMatrix(msub, d); for (i=1; i<=m; i++){ if (!set_member(i,delset)){ ddf_CopyArow(Msub->matrix[isub-1], M->matrix[i-1], d); if (set_member(i, M->linset)){ set_addelem(Msub->linset,isub); } isub++; } } ddf_CopyArow(Msub->rowvec, M->rowvec, d); Msub->numbtype=M->numbtype; Msub->representation=M->representation; Msub->objective=M->objective; } return Msub; } ddf_MatrixPtr ddf_MatrixSubmatrix2(ddf_MatrixPtr M, ddf_rowset delset,ddf_rowindex *newpos) /* 092 */ { /* returns a pointer to a new matrix which is a submatrix of M with rows in delset removed. *newpos[i] returns the position of the original row i in the new matrix. It is -1 if and only if it is deleted. */ ddf_MatrixPtr Msub=NULL; ddf_rowrange i,isub=1, m,msub; ddf_colrange d; ddf_rowindex roworder; m= M->rowsize; d= M->colsize; msub=m; if (m >=0 && d >=0){ roworder=(long *)calloc(m+1,sizeof(long)); for (i=1; i<=m; i++) { if (set_member(i,delset)) msub-=1; } Msub=ddf_CreateMatrix(msub, d); for (i=1; i<=m; i++){ if (set_member(i,delset)){ roworder[i]=0; /* zero means the row i is removed */ } else { ddf_CopyArow(Msub->matrix[isub-1], M->matrix[i-1], d); if (set_member(i, M->linset)){ set_addelem(Msub->linset,isub); } roworder[i]=isub; isub++; } } *newpos=roworder; ddf_CopyArow(Msub->rowvec, M->rowvec, d); Msub->numbtype=M->numbtype; Msub->representation=M->representation; Msub->objective=M->objective; } return Msub; } ddf_MatrixPtr ddf_MatrixSubmatrix2L(ddf_MatrixPtr M, ddf_rowset delset,ddf_rowindex *newpos) /* 094 */ { /* This is same as ddf_MatrixSubmatrix2 except that the linearity rows will be shifted up so that they are at the top of the matrix. */ ddf_MatrixPtr Msub=NULL; ddf_rowrange i,iL, iI, m,msub; ddf_colrange d; ddf_rowindex roworder; m= M->rowsize; d= M->colsize; msub=m; if (m >=0 && d >=0){ roworder=(long *)calloc(m+1,sizeof(long)); for (i=1; i<=m; i++) { if (set_member(i,delset)) msub-=1; } Msub=ddf_CreateMatrix(msub, d); iL=1; iI=set_card(M->linset)+1; /* starting positions */ for (i=1; i<=m; i++){ if (set_member(i,delset)){ roworder[i]=0; /* zero means the row i is removed */ } else { if (set_member(i,M->linset)){ ddf_CopyArow(Msub->matrix[iL-1], M->matrix[i-1], d); set_delelem(Msub->linset,i); set_addelem(Msub->linset,iL); roworder[i]=iL; iL+=1; } else { ddf_CopyArow(Msub->matrix[iI-1], M->matrix[i-1], d); roworder[i]=iI; iI+=1; } } } *newpos=roworder; ddf_CopyArow(Msub->rowvec, M->rowvec, d); Msub->numbtype=M->numbtype; Msub->representation=M->representation; Msub->objective=M->objective; } return Msub; } int ddf_MatrixRowsRemove(ddf_MatrixPtr *M, ddf_rowset delset) /* 094 */ { ddf_MatrixPtr Msub=NULL; int success; Msub=ddf_MatrixSubmatrix(*M, delset); ddf_FreeMatrix(*M); *M=Msub; success=1; return success; } int ddf_MatrixRowsRemove2(ddf_MatrixPtr *M, ddf_rowset delset,ddf_rowindex *newpos) /* 094 */ { ddf_MatrixPtr Msub=NULL; int success; Msub=ddf_MatrixSubmatrix2(*M, delset,newpos); ddf_FreeMatrix(*M); *M=Msub; success=1; return success; } int ddf_MatrixShiftupLinearity(ddf_MatrixPtr *M,ddf_rowindex *newpos) /* 094 */ { ddf_MatrixPtr Msub=NULL; int success; ddf_rowset delset; set_initialize(&delset,(*M)->rowsize); /* emptyset */ Msub=ddf_MatrixSubmatrix2L(*M, delset,newpos); ddf_FreeMatrix(*M); *M=Msub; set_free(delset); success=1; return success; } ddf_PolyhedraPtr ddf_CreatePolyhedraData(ddf_rowrange m, ddf_colrange d) { ddf_rowrange i; ddf_PolyhedraPtr poly=NULL; poly=(ddf_PolyhedraPtr) malloc (sizeof(ddf_PolyhedraType)); poly->child =NULL; /* this links the homogenized cone data */ poly->m =m; poly->d =d; poly->n =-1; /* the size of output is not known */ poly->m_alloc =m+2; /* the allocated row size of matrix A */ poly->d_alloc =d; /* the allocated col size of matrix A */ poly->ldim =0; /* initialize the linearity dimension */ poly->numbtype=ddf_Real; ddf_InitializeAmatrix(poly->m_alloc,poly->d_alloc,&(poly->A)); ddf_InitializeArow(d,&(poly->c)); /* cost vector */ poly->representation =ddf_Inequality; poly->homogeneous =ddf_FALSE; poly->EqualityIndex=(int *)calloc(m+2, sizeof(int)); /* size increased to m+2 in 092b because it is used by the child cone, This is a bug fix suggested by Thao Dang. */ /* ith component is 1 if it is equality, -1 if it is strict inequality, 0 otherwise. */ for (i = 0; i <= m+1; i++) poly->EqualityIndex[i]=0; poly->IsEmpty = -1; /* initially set to -1, neither TRUE nor FALSE, meaning unknown */ poly->NondegAssumed = ddf_FALSE; poly->InitBasisAtBottom = ddf_FALSE; poly->RestrictedEnumeration = ddf_FALSE; poly->RelaxedEnumeration = ddf_FALSE; poly->AincGenerated=ddf_FALSE; /* Ainc is a set array to store the input incidence. */ return poly; } ddf_boolean ddf_InitializeConeData(ddf_rowrange m, ddf_colrange d, ddf_ConePtr *cone) { ddf_boolean success=ddf_TRUE; ddf_colrange j; (*cone)=(ddf_ConePtr)calloc(1, sizeof(ddf_ConeType)); /* INPUT: A given representation of a cone: inequality */ (*cone)->m=m; (*cone)->d=d; (*cone)->m_alloc=m+2; /* allocated row size of matrix A */ (*cone)->d_alloc=d; /* allocated col size of matrix A, B and Bsave */ (*cone)->numbtype=ddf_Real; (*cone)->parent=NULL; /* CONTROL: variables to control computation */ (*cone)->Iteration=0; (*cone)->HalfspaceOrder=ddf_LexMin; (*cone)->ArtificialRay=NULL; (*cone)->FirstRay=NULL; (*cone)->LastRay=NULL; /* The second description: Generator */ (*cone)->PosHead=NULL; (*cone)->ZeroHead=NULL; (*cone)->NegHead=NULL; (*cone)->PosLast=NULL; (*cone)->ZeroLast=NULL; (*cone)->NegLast=NULL; (*cone)->RecomputeRowOrder = ddf_TRUE; (*cone)->PreOrderedRun = ddf_FALSE; set_initialize(&((*cone)->GroundSet),(*cone)->m_alloc); set_initialize(&((*cone)->EqualitySet),(*cone)->m_alloc); set_initialize(&((*cone)->NonequalitySet),(*cone)->m_alloc); set_initialize(&((*cone)->AddedHalfspaces),(*cone)->m_alloc); set_initialize(&((*cone)->WeaklyAddedHalfspaces),(*cone)->m_alloc); set_initialize(&((*cone)->InitialHalfspaces),(*cone)->m_alloc); (*cone)->RayCount=0; (*cone)->FeasibleRayCount=0; (*cone)->WeaklyFeasibleRayCount=0; (*cone)->TotalRayCount=0; (*cone)->ZeroRayCount=0; (*cone)->EdgeCount=0; (*cone)->TotalEdgeCount=0; (*cone)->count_int=0; (*cone)->count_int_good=0; (*cone)->count_int_bad=0; (*cone)->rseed=1; /* random seed for random row permutation */ ddf_InitializeBmatrix((*cone)->d_alloc, &((*cone)->B)); ddf_InitializeBmatrix((*cone)->d_alloc, &((*cone)->Bsave)); ddf_InitializeAmatrix((*cone)->m_alloc,(*cone)->d_alloc,&((*cone)->A)); (*cone)->Edges =(ddf_AdjacencyType**) calloc((*cone)->m_alloc,sizeof(ddf_AdjacencyType*)); (*cone)->InitialRayIndex=(long*)calloc(d+1,sizeof(long)); (*cone)->OrderVector=(long*)calloc((*cone)->m_alloc+1,sizeof(long)); (*cone)->newcol=(long*)calloc(((*cone)->d)+1,sizeof(long)); for (j=0; j<=(*cone)->d; j++) (*cone)->newcol[j]=j; /* identity map, initially */ (*cone)->LinearityDim = -2; /* -2 if it is not computed */ (*cone)->ColReduced = ddf_FALSE; (*cone)->d_orig = d; /* STATES: variables to represent current state. */ /*(*cone)->Error; (*cone)->CompStatus; (*cone)->starttime; (*cone)->endtime; */ return success; } ddf_ConePtr ddf_ConeDataLoad(ddf_PolyhedraPtr poly) { ddf_ConePtr cone=NULL; ddf_colrange d,j; ddf_rowrange m,i; m=poly->m; d=poly->d; if (!(poly->homogeneous) && poly->representation==ddf_Inequality){ m=poly->m+1; } poly->m1=m; ddf_InitializeConeData(m, d, &cone); cone->representation=poly->representation; /* Points to the original polyhedra data, and reversely */ cone->parent=poly; poly->child=cone; for (i=1; i<=poly->m; i++) for (j=1; j<=cone->d; j++) ddf_set(cone->A[i-1][j-1],poly->A[i-1][j-1]); if (poly->representation==ddf_Inequality && !(poly->homogeneous)){ ddf_set(cone->A[m-1][0],ddf_one); for (j=2; j<=d; j++) ddf_set(cone->A[m-1][j-1],ddf_purezero); } return cone; } void ddf_SetLinearity(ddf_MatrixPtr M, char *line) { int i=0; ddf_rowrange eqsize,var; char *next; const char ct[]=", "; /* allows separators "," and " ". */ next=strtok(line,ct); eqsize=atol(next); while (i < eqsize && (next=strtok(NULL,ct))!=NULL) { var=atol(next); set_addelem(M->linset,var); i++; } if (i!=eqsize) { fprintf(stderr,"* Warning: there are inconsistencies in linearity setting.\n"); } return; } ddf_MatrixPtr ddf_PolyFile2Matrix (FILE *f, ddf_ErrorType *Error) { ddf_MatrixPtr M=NULL; ddf_rowrange m_input,i; ddf_colrange d_input,j; ddf_RepresentationType rep=ddf_Inequality; myfloat value; ddf_boolean found=ddf_FALSE, newformat=ddf_FALSE, successful=ddf_FALSE, linearity=ddf_FALSE; char command[ddf_linelenmax], comsave[ddf_linelenmax], numbtype[ddf_wordlenmax]; ddf_NumberType NT; #if !defined(ddf_GMPRATIONAL) double rvalue; #endif ddf_init(value); (*Error)=ddf_NoError; while (!found) { if (fscanf(f,"%s",command)==EOF) { (*Error)=ddf_ImproperInputFormat; goto _L99; } else { if (strncmp(command, "V-representation", 16)==0) { rep=ddf_Generator; newformat=ddf_TRUE; } if (strncmp(command, "H-representation", 16)==0){ rep=ddf_Inequality; newformat=ddf_TRUE; } if (strncmp(command, "partial_enum", 12)==0 || strncmp(command, "equality", 8)==0 || strncmp(command, "linearity", 9)==0 ) { linearity=ddf_TRUE; fgets(comsave,ddf_linelenmax,f); } if (strncmp(command, "begin", 5)==0) found=ddf_TRUE; } } fscanf(f, "%ld %ld %s", &m_input, &d_input, numbtype); fprintf(stderr,"size = %ld x %ld\nNumber Type = %s\n", m_input, d_input, numbtype); NT=ddf_GetNumberType(numbtype); if (NT==ddf_Unknown) { (*Error)=ddf_ImproperInputFormat; goto _L99; } M=ddf_CreateMatrix(m_input, d_input); M->representation=rep; M->numbtype=NT; for (i = 1; i <= m_input; i++) { for (j = 1; j <= d_input; j++) { if (NT==ddf_Real) { #if defined ddf_GMPRATIONAL *Error=ddf_NoRealNumberSupport; goto _L99; #else fscanf(f, "%lf", &rvalue); ddf_set_d(value, rvalue); #endif } else { ddf_fread_rational_value (f, value); } ddf_set(M->matrix[i-1][j - 1],value); if (ddf_debug) {fprintf(stderr,"a(%3ld,%5ld) = ",i,j); ddf_WriteNumber(stderr,value);} } /*of j*/ } /*of i*/ if (fscanf(f,"%s",command)==EOF) { (*Error)=ddf_ImproperInputFormat; goto _L99; } else if (strncmp(command, "end", 3)!=0) { if (ddf_debug) fprintf(stderr,"'end' missing or illegal extra data: %s\n",command); (*Error)=ddf_ImproperInputFormat; goto _L99; } successful=ddf_TRUE; if (linearity) { ddf_SetLinearity(M,comsave); } while (!feof(f)) { fscanf(f,"%s", command); ddf_ProcessCommandLine(f, M, command); fgets(command,ddf_linelenmax,f); /* skip the CR/LF */ } _L99: ; ddf_clear(value); /* if (f!=NULL) fclose(f); */ return M; } ddf_PolyhedraPtr ddf_DDMatrix2Poly(ddf_MatrixPtr M, ddf_ErrorType *err) { ddf_rowrange i; ddf_colrange j; ddf_PolyhedraPtr poly=NULL; *err=ddf_NoError; if (M->rowsize<0 || M->colsize<0){ *err=ddf_NegativeMatrixSize; goto _L99; } poly=ddf_CreatePolyhedraData(M->rowsize, M->colsize); poly->representation=M->representation; poly->homogeneous=ddf_TRUE; for (i = 1; i <= M->rowsize; i++) { if (set_member(i, M->linset)) { poly->EqualityIndex[i]=1; } for (j = 1; j <= M->colsize; j++) { ddf_set(poly->A[i-1][j-1], M->matrix[i-1][j-1]); if (j==1 && ddf_Nonzero(M->matrix[i-1][j-1])) poly->homogeneous = ddf_FALSE; } /*of j*/ } /*of i*/ ddf_DoubleDescription(poly,err); _L99: return poly; } ddf_PolyhedraPtr ddf_DDMatrix2Poly2(ddf_MatrixPtr M, ddf_RowOrderType horder, ddf_ErrorType *err) { ddf_rowrange i; ddf_colrange j; ddf_PolyhedraPtr poly=NULL; *err=ddf_NoError; if (M->rowsize<0 || M->colsize<0){ *err=ddf_NegativeMatrixSize; goto _L99; } poly=ddf_CreatePolyhedraData(M->rowsize, M->colsize); poly->representation=M->representation; poly->homogeneous=ddf_TRUE; for (i = 1; i <= M->rowsize; i++) { if (set_member(i, M->linset)) { poly->EqualityIndex[i]=1; } for (j = 1; j <= M->colsize; j++) { ddf_set(poly->A[i-1][j-1], M->matrix[i-1][j-1]); if (j==1 && ddf_Nonzero(M->matrix[i-1][j-1])) poly->homogeneous = ddf_FALSE; } /*of j*/ } /*of i*/ ddf_DoubleDescription2(poly, horder, err); _L99: return poly; } void ddf_MatrixIntegerFilter(ddf_MatrixPtr M) { /* setting an almost integer to the integer. */ ddf_rowrange i; ddf_colrange j; myfloat x; ddf_init(x); for (i=0; i< M->rowsize; i++) for (j=0; j< M->colsize; j++){ ddf_SnapToInteger(x, M->matrix[i][j]); ddf_set(M->matrix[i][j],x); } ddf_clear(x); } void ddf_CopyRay(myfloat *a, ddf_colrange d_origsize, ddf_RayPtr RR, ddf_RepresentationType rep, ddf_colindex reducedcol) { long j,j1; myfloat b; ddf_init(b); for (j = 1; j <= d_origsize; j++){ j1=reducedcol[j]; if (j1>0){ ddf_set(a[j-1],RR->Ray[j1-1]); /* the original column j is mapped to j1, and thus copy the corresponding component */ } else { ddf_set(a[j-1],ddf_purezero); /* original column is redundant and removed for computation */ } } ddf_set(b,a[0]); if (rep==ddf_Generator && ddf_Nonzero(b)){ ddf_set(a[0],ddf_one); for (j = 2; j <= d_origsize; j++) ddf_div(a[j-1],a[j-1],b); /* normalization for generators */ } ddf_clear(b); } void ddf_WriteRay(FILE *f, ddf_colrange d_origsize, ddf_RayPtr RR, ddf_RepresentationType rep, ddf_colindex reducedcol) { ddf_colrange j; static ddf_colrange d_last=0; static ddf_Arow a; if (d_last< d_origsize){ if (d_last>0) free(a); ddf_InitializeArow(d_origsize+1, &a); d_last=d_origsize+1; } ddf_CopyRay(a, d_origsize, RR, rep, reducedcol); for (j = 0; j < d_origsize; j++) ddf_WriteNumber(f, a[j]); fprintf(f, "\n"); } void ddf_WriteArow(FILE *f, ddf_Arow a, ddf_colrange d) { ddf_colrange j; for (j = 0; j < d; j++) ddf_WriteNumber(f, a[j]); fprintf(f, "\n"); } void ddf_WriteAmatrix(FILE *f, ddf_Amatrix A, long rowmax, long colmax) { long i,j; if (A==NULL){ fprintf(f, "WriteAmatrix: The requested matrix is empty\n"); goto _L99; } fprintf(f, "begin\n"); #if defined ddf_GMPRATIONAL fprintf(f, " %ld %ld rational\n",rowmax, colmax); #else fprintf(f, " %ld %ld real\n",rowmax, colmax); #endif for (i=1; i <= rowmax; i++) { for (j=1; j <= colmax; j++) { ddf_WriteNumber(f, A[i-1][j-1]); } fprintf(f,"\n"); } fprintf(f, "end\n"); _L99:; } void ddf_WriteBmatrix(FILE *f, ddf_colrange d_size, ddf_Bmatrix B) { ddf_colrange j1, j2; if (B==NULL){ fprintf(f, "WriteBmatrix: The requested matrix is empty\n"); goto _L99; } for (j1 = 0; j1 < d_size; j1++) { for (j2 = 0; j2 < d_size; j2++) { ddf_WriteNumber(f, B[j1][j2]); } /*of j2*/ putc('\n', f); } /*of j1*/ putc('\n', f); _L99:; } void ddf_WriteSetFamily(FILE *f, ddf_SetFamilyPtr F) { ddf_bigrange i; if (F==NULL){ fprintf(f, "WriteSetFamily: The requested family is empty\n"); goto _L99; } fprintf(f,"begin\n"); fprintf(f," %ld %ld\n", F->famsize, F->setsize); for (i=0; ifamsize; i++) { fprintf(f, " %ld %ld : ", i+1, set_card(F->set[i])); set_fwrite(f, F->set[i]); } fprintf(f,"end\n"); _L99:; } void ddf_WriteSetFamilyCompressed(FILE *f, ddf_SetFamilyPtr F) { ddf_bigrange i,card; if (F==NULL){ fprintf(f, "WriteSetFamily: The requested family is empty\n"); goto _L99; } fprintf(f,"begin\n"); fprintf(f," %ld %ld\n", F->famsize, F->setsize); for (i=0; ifamsize; i++) { card=set_card(F->set[i]); if (F->setsize - card >= card){ fprintf(f, " %ld %ld : ", i+1, card); set_fwrite(f, F->set[i]); } else { fprintf(f, " %ld %ld : ", i+1, -card); set_fwrite_compl(f, F->set[i]); } } fprintf(f,"end\n"); _L99:; } void ddf_WriteMatrix(FILE *f, ddf_MatrixPtr M) { ddf_rowrange i, linsize; if (M==NULL){ fprintf(f, "WriteMatrix: The requested matrix is empty\n"); goto _L99; } switch (M->representation) { case ddf_Inequality: fprintf(f, "H-representation\n"); break; case ddf_Generator: fprintf(f, "V-representation\n"); break; case ddf_Unspecified: break; } linsize=set_card(M->linset); if (linsize>0) { fprintf(f, "linearity %ld ", linsize); for (i=1; i<=M->rowsize; i++) if (set_member(i, M->linset)) fprintf(f, " %ld", i); fprintf(f, "\n"); } ddf_WriteAmatrix(f, M->matrix, M->rowsize, M->colsize); if (M->objective!=ddf_LPnone){ if (M->objective==ddf_LPmax) fprintf(f, "maximize\n"); else fprintf(f, "minimize\n"); ddf_WriteArow(f, M->rowvec, M->colsize); } _L99:; } void ddf_WriteLP(FILE *f, ddf_LPPtr lp) { if (lp==NULL){ fprintf(f, "WriteLP: The requested lp is empty\n"); goto _L99; } fprintf(f, "H-representation\n"); ddf_WriteAmatrix(f, lp->A, (lp->m)-1, lp->d); if (lp->objective!=ddf_LPnone){ if (lp->objective==ddf_LPmax) fprintf(f, "maximize\n"); else fprintf(f, "minimize\n"); ddf_WriteArow(f, lp->A[lp->objrow-1], lp->d); } _L99:; } void ddf_SnapToInteger(myfloat y, myfloat x) { /* this is broken. It does nothing. */ ddf_set(y,x); } void ddf_WriteReal(FILE *f, myfloat x) { long ix1,ix2,ix; double ax; ax=ddf_get_d(x); ix1= (long) (fabs(ax) * 10000. + 0.5); ix2= (long) (fabs(ax) + 0.5); ix2= ix2*10000; if ( ix1 == ix2) { if (ddf_Positive(x)) { ix = (long)(ax + 0.5); } else { ix = (long)(-ax + 0.5); ix = -ix; } fprintf(f, " %2ld", ix); } else fprintf(f, " % .9E",ax); } void ddf_WriteNumber(FILE *f, myfloat x) { #if defined ddf_GMPRATIONAL fprintf(f," "); mpq_out_str(f, 10, x); #else ddf_WriteReal(f, x); #endif } void ddf_WriteIncidence(FILE *f, ddf_PolyhedraPtr poly) { ddf_SetFamilyPtr I; switch (poly->representation) { case ddf_Inequality: fprintf(f, "ecd_file: Incidence of generators and inequalities\n"); break; case ddf_Generator: fprintf(f, "icd_file: Incidence of inequalities and generators\n"); break; default: break; } I=ddf_CopyIncidence(poly); ddf_WriteSetFamilyCompressed(f,I); ddf_FreeSetFamily(I); } void ddf_WriteAdjacency(FILE *f, ddf_PolyhedraPtr poly) { ddf_SetFamilyPtr A; switch (poly->representation) { case ddf_Inequality: fprintf(f, "ead_file: Adjacency of generators\n"); break; case ddf_Generator: fprintf(f, "iad_file: Adjacency of inequalities\n"); break; default: break; } A=ddf_CopyAdjacency(poly); ddf_WriteSetFamilyCompressed(f,A); ddf_FreeSetFamily(A); } void ddf_ComputeAinc(ddf_PolyhedraPtr poly) { /* This generates the input incidence array poly->Ainc, and two sets: poly->Ared, poly->Adom. */ ddf_bigrange k; ddf_rowrange i,m1; ddf_colrange j; ddf_boolean redundant; ddf_MatrixPtr M=NULL; myfloat sum,temp; ddf_init(sum); ddf_init(temp); if (poly->AincGenerated==ddf_TRUE) goto _L99; M=ddf_CopyOutput(poly); poly->n=M->rowsize; m1=poly->m1; /* this number is same as poly->m, except when poly is given by nonhomogeneous inequalty: !(poly->homogeneous) && poly->representation==Inequality, it is poly->m+1. See ddf_ConeDataLoad. */ poly->Ainc=(set_type*)calloc(m1, sizeof(set_type)); for(i=1; i<=m1; i++) set_initialize(&(poly->Ainc[i-1]),poly->n); set_initialize(&(poly->Ared), m1); set_initialize(&(poly->Adom), m1); for (k=1; k<=poly->n; k++){ for (i=1; i<=poly->m; i++){ ddf_set(sum,ddf_purezero); for (j=1; j<=poly->d; j++){ ddf_mul(temp,poly->A[i-1][j-1],M->matrix[k-1][j-1]); ddf_add(sum,sum,temp); } if (ddf_EqualToZero(sum)) { set_addelem(poly->Ainc[i-1], k); } } if (!(poly->homogeneous) && poly->representation==ddf_Inequality){ if (ddf_EqualToZero(M->matrix[k-1][0])) { set_addelem(poly->Ainc[m1-1], k); /* added infinity inequality (1,0,0,...,0) */ } } } for (i=1; i<=m1; i++){ if (set_card(poly->Ainc[i-1])==M->rowsize){ set_addelem(poly->Adom, i); } } for (i=m1; i>=1; i--){ if (set_card(poly->Ainc[i-1])==0){ redundant=ddf_TRUE; set_addelem(poly->Ared, i); }else { redundant=ddf_FALSE; for (k=1; k<=m1; k++) { if (k!=i && !set_member(k, poly->Ared) && !set_member(k, poly->Adom) && set_subset(poly->Ainc[i-1], poly->Ainc[k-1])){ if (!redundant){ redundant=ddf_TRUE; } set_addelem(poly->Ared, i); } } } } ddf_FreeMatrix(M); poly->AincGenerated=ddf_TRUE; _L99:; ddf_clear(sum); ddf_clear(temp); } ddf_boolean ddf_InputAdjacentQ(ddf_PolyhedraPtr poly, ddf_rowrange i1, ddf_rowrange i2) /* Before calling this function, RedundantSet must be a set of row indices whose removal results in a minimal nonredundant system to represent the input polyhedron, DominantSet must be the set of row indices which are active at every extreme points/rays. */ { ddf_boolean adj=ddf_TRUE; ddf_rowrange i; static set_type common; static long lastn=0; if (poly->AincGenerated==ddf_FALSE) ddf_ComputeAinc(poly); if (lastn!=poly->n){ if (lastn >0) set_free(common); set_initialize(&common, poly->n); lastn=poly->n; } if (set_member(i1, poly->Ared) || set_member(i2, poly->Ared)){ adj=ddf_FALSE; goto _L99; } if (set_member(i1, poly->Adom) || set_member(i2, poly->Adom)){ // dominant inequality is considered adjacencent to all others. adj=ddf_TRUE; goto _L99; } set_int(common, poly->Ainc[i1-1], poly->Ainc[i2-1]); i=0; while (im1 && adj==ddf_TRUE){ i++; if (i!=i1 && i!=i2 && !set_member(i, poly->Ared) && !set_member(i, poly->Adom) && set_subset(common,poly->Ainc[i-1])){ adj=ddf_FALSE; } } _L99:; return adj; } void ddf_WriteInputIncidence(FILE *f, ddf_PolyhedraPtr poly) { ddf_SetFamilyPtr I; if (poly->AincGenerated==ddf_FALSE) ddf_ComputeAinc(poly); switch (poly->representation) { case ddf_Inequality: fprintf(f,"icd_file: Incidence of inequalities and generators\n"); break; case ddf_Generator: fprintf(f,"ecd_file: Incidence of generators and inequalities\n"); break; default: break; } I=ddf_CopyInputIncidence(poly); ddf_WriteSetFamilyCompressed(f,I); ddf_FreeSetFamily(I); } void ddf_WriteInputAdjacency(FILE *f, ddf_PolyhedraPtr poly) { ddf_SetFamilyPtr A; if (poly->AincGenerated==ddf_FALSE){ ddf_ComputeAinc(poly); } switch (poly->representation) { case ddf_Inequality: fprintf(f, "iad_file: Adjacency of inequalities\n"); break; case ddf_Generator: fprintf(f, "ead_file: Adjacency of generators\n"); break; default: break; } A=ddf_CopyInputAdjacency(poly); ddf_WriteSetFamilyCompressed(f,A); ddf_FreeSetFamily(A); } void ddf_WriteProgramDescription(FILE *f) { fprintf(f, "* cddlib: a double description library:%s\n", ddf_DDVERSION); fprintf(f, "* compiled for %s arithmetic.\n", ddf_ddf_ARITHMETIC); fprintf(f,"* %s\n",ddf_COPYRIGHT); } void ddf_WriteTimes(FILE *f, time_t starttime, time_t endtime) { long ptime,ptime_sec,ptime_minu, ptime_hour; /* ptime=difftime(endtime,starttime); This function is ANSI standard, but not available sometime */ ptime=(endtime - starttime); /* This is to replace the line above, but it may not give correct time in seconds */ ptime_hour=ptime/3600; ptime_minu=(ptime-ptime_hour*3600)/60; ptime_sec=ptime%60; fprintf(f,"* Computation started at %s",asctime(localtime(&starttime))); fprintf(f,"* ended at %s",asctime(localtime(&endtime))); fprintf(f,"* Total processor time = %ld seconds\n",ptime); fprintf(f,"* = %ld h %ld m %ld s\n",ptime_hour, ptime_minu, ptime_sec); } void ddf_WriteDDTimes(FILE *f, ddf_PolyhedraPtr poly) { ddf_WriteTimes(f,poly->child->starttime,poly->child->endtime); } void ddf_WriteLPTimes(FILE *f, ddf_LPPtr lp) { ddf_WriteTimes(f,lp->starttime,lp->endtime); } void ddf_WriteLPStats(FILE *f) { time_t currenttime; time(¤ttime); fprintf(f, "\n*--- Statistics of pivots ---\n"); #if defined ddf_GMPRATIONAL fprintf(f, "* f0 = %ld (float basis finding pivots)\n",ddf_statBApivots); fprintf(f, "* fc = %ld (float CC pivots)\n",ddf_statCCpivots); fprintf(f, "* f1 = %ld (float dual simplex phase I pivots)\n",ddf_statDS1pivots); fprintf(f, "* f2 = %ld (float dual simplex phase II pivots)\n",ddf_statDS2pivots); fprintf(f, "* f3 = %ld (float anticycling CC pivots)\n",ddf_statACpivots); fprintf(f, "* e0 = %ld (exact basis finding pivots)\n",ddf_statBApivots); fprintf(f, "* ec = %ld (exact CC pivots)\n",ddf_statCCpivots); fprintf(f, "* e1 = %ld (exact dual simplex phase I pivots)\n",ddf_statDS1pivots); fprintf(f, "* e2 = %ld (exact dual simplex phase II pivots)\n",ddf_statDS2pivots); fprintf(f, "* e3 = %ld (exact anticycling CC pivots)\n",ddf_statACpivots); fprintf(f, "* e4 = %ld (exact basis verification pivots)\n",ddf_statBSpivots); #else fprintf(f, "f0 = %ld (float basis finding pivots)\n",ddf_statBApivots); fprintf(f, "fc = %ld (float CC pivots)\n",ddf_statCCpivots); fprintf(f, "f1 = %ld (float dual simplex phase I pivots)\n",ddf_statDS1pivots); fprintf(f, "f2 = %ld (float dual simplex phase II pivots)\n",ddf_statDS2pivots); fprintf(f, "f3 = %ld (float anticycling CC pivots)\n",ddf_statACpivots); #endif ddf_WriteLPMode(f); ddf_WriteTimes(f,ddf_statStartTime, currenttime); } void ddf_WriteLPMode(FILE *f) { fprintf(f, "\n* LP solver: "); switch (ddf_choiceLPSolverDefault) { case ddf_DualSimplex: fprintf(f, "DualSimplex\n"); break; case ddf_CrissCross: fprintf(f, "Criss-Cross\n"); break; default: break; } fprintf(f, "* Redundancy cheking solver: "); switch (ddf_choiceRedcheckAlgorithm) { case ddf_DualSimplex: fprintf(f, "DualSimplex\n"); break; case ddf_CrissCross: fprintf(f, "Criss-Cross\n"); break; default: break; } fprintf(f, "* Lexicographic pivot: "); if (ddf_choiceLexicoPivotQ) fprintf(f, " on\n"); else fprintf(f, " off\n"); } void ddf_WriteRunningMode(FILE *f, ddf_PolyhedraPtr poly) { if (poly->child!=NULL){ fprintf(f,"* roworder: "); switch (poly->child->HalfspaceOrder) { case ddf_MinIndex: fprintf(f, "minindex\n"); break; case ddf_MaxIndex: fprintf(f, "maxindex\n"); break; case ddf_MinCutoff: fprintf(f, "mincutoff\n"); break; case ddf_MaxCutoff: fprintf(f, "maxcutoff\n"); break; case ddf_MixCutoff: fprintf(f, "mixcutoff\n"); break; case ddf_LexMin: fprintf(f, "lexmin\n"); break; case ddf_LexMax: fprintf(f, "lexmax\n"); break; case ddf_RandomRow: fprintf(f, "random %d\n",poly->child->rseed); break; default: break; } } } void ddf_WriteCompletionStatus(FILE *f, ddf_ConePtr cone) { if (cone->Iterationm && cone->CompStatus==ddf_AllFound) { fprintf(f,"*Computation completed at Iteration %4ld.\n", cone->Iteration); } if (cone->CompStatus == ddf_RegionEmpty) { fprintf(f,"*Computation completed at Iteration %4ld because the region found empty.\n",cone->Iteration); } } void ddf_WritePolyFile(FILE *f, ddf_PolyhedraPtr poly) { ddf_WriteAmatrix(f,poly->A,poly->m,poly->d); } void ddf_WriteErrorMessages(FILE *f, ddf_ErrorType Error) { switch (Error) { case ddf_DimensionTooLarge: fprintf(f, "*Input Error: Input matrix is too large:\n"); fprintf(f, "*Please increase MMAX and/or NMAX in the source code and recompile.\n"); break; case ddf_IFileNotFound: fprintf(f, "*Input Error: Specified input file does not exist.\n"); break; case ddf_OFileNotOpen: fprintf(f, "*Output Error: Specified output file cannot be opened.\n"); break; case ddf_NegativeMatrixSize: fprintf(f, "*Input Error: Input matrix has a negative size:\n"); fprintf(f, "*Please check rowsize or colsize.\n"); break; case ddf_ImproperInputFormat: fprintf(f,"*Input Error: Input format is not correct.\n"); fprintf(f,"*Format:\n"); fprintf(f," begin\n"); fprintf(f," m n NumberType(real, rational or integer)\n"); fprintf(f," b -A\n"); fprintf(f," end\n"); break; case ddf_EmptyVrepresentation: fprintf(f, "*Input Error: V-representation is empty:\n"); fprintf(f, "*cddlib does not accept this trivial case for which output can be any inconsistent system.\n"); break; case ddf_EmptyHrepresentation: fprintf(f, "*Input Error: H-representation is empty.\n"); break; case ddf_EmptyRepresentation: fprintf(f, "*Input Error: Representation is empty.\n"); break; case ddf_NoLPObjective: fprintf(f, "*LP Error: No LP objective (max or min) is set.\n"); break; case ddf_NoRealNumberSupport: fprintf(f, "*LP Error: The binary (with GMP Rational) does not support Real number input.\n"); fprintf(f, " : Use a binary compiled without -Dddf_GMPRATIONAL option.\n"); break; case ddf_NotAvailForH: fprintf(f, "*Error: A function is called with H-rep which does not support an H-representation.\n"); break; case ddf_NotAvailForV: fprintf(f, "*Error: A function is called with V-rep which does not support an V-representation.\n"); break; case ddf_CannotHandleLinearity: fprintf(f, "*Error: The function called cannot handle linearity.\n"); break; case ddf_RowIndexOutOfRange: fprintf(f, "*Error: Specified row index is out of range\n"); break; case ddf_ColIndexOutOfRange: fprintf(f, "*Error: Specified column index is out of range\n"); break; case ddf_LPCycling: fprintf(f, "*Error: Possibly an LP cycling occurs. Use the Criss-Cross method.\n"); break; case ddf_NumericallyInconsistent: fprintf(f, "*Error: Numerical inconsistency is found. Use the GMP exact arithmetic.\n"); break; case ddf_NoError: fprintf(f,"*No Error found.\n"); break; } } ddf_SetFamilyPtr ddf_CopyIncidence(ddf_PolyhedraPtr poly) { ddf_SetFamilyPtr F=NULL; ddf_bigrange k; ddf_rowrange i; if (poly->child==NULL || poly->child->CompStatus!=ddf_AllFound) goto _L99; if (poly->AincGenerated==ddf_FALSE) ddf_ComputeAinc(poly); F=ddf_CreateSetFamily(poly->n, poly->m1); for (i=1; i<=poly->m1; i++) for (k=1; k<=poly->n; k++) if (set_member(k,poly->Ainc[i-1])) set_addelem(F->set[k-1],i); _L99:; return F; } ddf_SetFamilyPtr ddf_CopyInputIncidence(ddf_PolyhedraPtr poly) { ddf_rowrange i; ddf_SetFamilyPtr F=NULL; if (poly->child==NULL || poly->child->CompStatus!=ddf_AllFound) goto _L99; if (poly->AincGenerated==ddf_FALSE) ddf_ComputeAinc(poly); F=ddf_CreateSetFamily(poly->m1, poly->n); for(i=0; i< poly->m1; i++){ set_copy(F->set[i], poly->Ainc[i]); } _L99:; return F; } ddf_SetFamilyPtr ddf_CopyAdjacency(ddf_PolyhedraPtr poly) { ddf_RayPtr RayPtr1,RayPtr2; ddf_SetFamilyPtr F=NULL; long pos1, pos2; ddf_bigrange lstart,k,n; set_type linset,allset; ddf_boolean adj; if (poly->n==0 && poly->homogeneous && poly->representation==ddf_Inequality){ n=1; /* the origin (the unique vertex) should be output. */ } else n=poly->n; set_initialize(&linset, n); set_initialize(&allset, n); if (poly->child==NULL || poly->child->CompStatus!=ddf_AllFound) goto _L99; F=ddf_CreateSetFamily(n, n); if (n<=0) goto _L99; poly->child->LastRay->Next=NULL; for (RayPtr1=poly->child->FirstRay, pos1=1;RayPtr1 != NULL; RayPtr1 = RayPtr1->Next, pos1++){ for (RayPtr2=poly->child->FirstRay, pos2=1; RayPtr2 != NULL; RayPtr2 = RayPtr2->Next, pos2++){ if (RayPtr1!=RayPtr2){ ddf_CheckAdjacency(poly->child, &RayPtr1, &RayPtr2, &adj); if (adj){ set_addelem(F->set[pos1-1], pos2); } } } } lstart=poly->n - poly->ldim + 1; set_compl(allset,allset); /* allset is set to the ground set. */ for (k=lstart; k<=poly->n; k++){ set_addelem(linset,k); /* linearity set */ set_copy(F->set[k-1],allset); /* linearity generator is adjacent to all */ } for (k=1; kset[k-1],F->set[k-1],linset); /* every generator is adjacent to all linearity generators */ } _L99:; set_free(allset); set_free(linset); return F; } ddf_SetFamilyPtr ddf_CopyInputAdjacency(ddf_PolyhedraPtr poly) { ddf_rowrange i,j; ddf_SetFamilyPtr F=NULL; if (poly->child==NULL || poly->child->CompStatus!=ddf_AllFound) goto _L99; if (poly->AincGenerated==ddf_FALSE) ddf_ComputeAinc(poly); F=ddf_CreateSetFamily(poly->m1, poly->m1); for (i=1; i<=poly->m1; i++){ for (j=1; j<=poly->m1; j++){ if (i!=j && ddf_InputAdjacentQ(poly, i, j)) { set_addelem(F->set[i-1],j); } } } _L99:; return F; } ddf_MatrixPtr ddf_CopyOutput(ddf_PolyhedraPtr poly) { ddf_RayPtr RayPtr; ddf_MatrixPtr M=NULL; ddf_rowrange i=0,total; ddf_colrange j,j1; myfloat b; ddf_RepresentationType outputrep=ddf_Inequality; ddf_boolean outputorigin=ddf_FALSE; ddf_init(b); total=poly->child->LinearityDim + poly->child->FeasibleRayCount; if (poly->child->d<=0 || poly->child->newcol[1]==0) total=total-1; if (poly->representation==ddf_Inequality) outputrep=ddf_Generator; if (total==0 && poly->homogeneous && poly->representation==ddf_Inequality){ total=1; outputorigin=ddf_TRUE; /* the origin (the unique vertex) should be output. */ } if (poly->child==NULL || poly->child->CompStatus!=ddf_AllFound) goto _L99; M=ddf_CreateMatrix(total, poly->d); RayPtr = poly->child->FirstRay; while (RayPtr != NULL) { if (RayPtr->feasible) { ddf_CopyRay(M->matrix[i], poly->d, RayPtr, outputrep, poly->child->newcol); i++; /* 086 */ } RayPtr = RayPtr->Next; } for (j=2; j<=poly->d; j++){ if (poly->child->newcol[j]==0){ /* original column j is dependent on others and removed for the cone */ ddf_set(b,poly->child->Bsave[0][j-1]); if (outputrep==ddf_Generator && ddf_Positive(b)){ ddf_set(M->matrix[i][0],ddf_one); /* ddf_Normalize */ for (j1=1; j1d; j1++) ddf_div(M->matrix[i][j1],(poly->child->Bsave[j1][j-1]),b); } else { for (j1=0; j1d; j1++) ddf_set(M->matrix[i][j1],poly->child->Bsave[j1][j-1]); } set_addelem(M->linset, i+1); i++; } } if (outputorigin){ /* output the origin for homogeneous H-polyhedron with no rays. */ ddf_set(M->matrix[0][0],ddf_one); for (j=1; jd; j++){ ddf_set(M->matrix[0][j],ddf_purezero); } } ddf_MatrixIntegerFilter(M); if (poly->representation==ddf_Inequality) M->representation=ddf_Generator; else M->representation=ddf_Inequality; _L99:; ddf_clear(b); return M; } ddf_MatrixPtr ddf_CopyInput(ddf_PolyhedraPtr poly) { ddf_MatrixPtr M=NULL; ddf_rowrange i; M=ddf_CreateMatrix(poly->m, poly->d); ddf_CopyAmatrix(M->matrix, poly->A, poly->m, poly->d); for (i=1; i<=poly->m; i++) if (poly->EqualityIndex[i]==1) set_addelem(M->linset,i); ddf_MatrixIntegerFilter(M); if (poly->representation==ddf_Generator) M->representation=ddf_Generator; else M->representation=ddf_Inequality; return M; } ddf_MatrixPtr ddf_CopyGenerators(ddf_PolyhedraPtr poly) { ddf_MatrixPtr M=NULL; if (poly->representation==ddf_Generator){ M=ddf_CopyInput(poly); } else { M=ddf_CopyOutput(poly); } return M; } ddf_MatrixPtr ddf_CopyInequalities(ddf_PolyhedraPtr poly) { ddf_MatrixPtr M=NULL; if (poly->representation==ddf_Inequality){ M=ddf_CopyInput(poly); } else { M=ddf_CopyOutput(poly); } return M; } /****************************************************************************************/ /* rational number (a/b) read is taken from Vinci by Benno Bueeler and Andreas Enge */ /****************************************************************************************/ void ddf_sread_rational_value (const char *s, myfloat value) /* reads a rational value from the specified string "s" and assigns it to "value" */ { char *numerator_s=NULL, *denominator_s=NULL, *position; int sign = 1; double numerator, denominator; #if defined ddf_GMPRATIONAL mpz_t znum, zden; #else double rvalue; #endif /* determine the sign of the number */ numerator_s = s; if (s [0] == '-') { sign = -1; numerator_s++; } else if (s [0] == '+') numerator_s++; /* look for a sign '/' and eventually split the number in numerator and denominator */ position = strchr (numerator_s, '/'); if (position != NULL) { *position = '\0'; /* terminates the numerator */ denominator_s = position + 1; }; /* determine the floating point values of numerator and denominator */ numerator=atol (numerator_s); if (position != NULL) { denominator=atol (denominator_s); } else denominator = 1; /* fprintf(stderr,"\nrational_read: numerator %f\n",numerator); fprintf(stderr,"rational_read: denominator %f\n",denominator); fprintf(stderr,"rational_read: sign %d\n",sign); */ #if defined ddf_GMPRATIONAL mpz_init_set_str(znum,numerator_s,10); if (sign<0) mpz_neg(znum,znum); mpz_init(zden); mpz_set_ui(zden,1); if (denominator_s!=NULL) mpz_init_set_str(zden,denominator_s,10); mpq_set_num(value,znum); mpq_set_den(value,zden); mpq_canonicalize(value); mpz_clear(znum); mpz_clear(zden); /* num=(long)sign * numerator; */ /* den=(unsigned long) denominator; */ /* mpq_set_si(value, num, den); */ #elif defined GMPFLOAT rvalue=sign * numerator/ (signed long) denominator; mpf_set_d(value, rvalue); #else rvalue=sign * numerator/ (signed long) denominator; dddf_set_d(value, rvalue); #endif if (ddf_debug) { fprintf(stderr,"rational_read: "); ddf_WriteNumber(stderr,value); fprintf(stderr,"\n"); } } void ddf_fread_rational_value (FILE *f, myfloat value) /* reads a rational value from the specified file "f" and assigns it to "value" */ { char number_s [ddf_wordlenmax]; myfloat rational_value; ddf_init(rational_value); fscanf(f, "%s ", number_s); ddf_sread_rational_value (number_s, rational_value); ddf_set(value,rational_value); ddf_clear(rational_value); } /****************************************************************************************/ /* end of cddio.c */ cddlib-094g/lib-src-gmp/cddlib.c000077700000000000000000000000001206770251100216102../lib-src/cddlib.custar00rootroot00000000000000cddlib-094g/lib-src-gmp/cddlib_f.c000066400000000000000000000270361206770251100167770ustar00rootroot00000000000000/* automatically generated by sed scripts from the c source named below: */ /* cddlib.c: cdd library (library version of cdd) written by Komei Fukuda, fukuda@ifor.math.ethz.ch Version 0.94g, March 23, 2012 Standard ftp site: ftp.ifor.math.ethz.ch, Directory: pub/fukuda/cdd */ /* cdd : C-Implementation of the double description method for computing all vertices and extreme rays of the polyhedron P= {x : b - A x >= 0}. Please read COPYING (GNU General Public Licence) and the manual cddlibman.tex for detail. */ /* 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., 675 Mass Ave, Cambridge, MA 02139, USA. */ /* The first version C0.21 was created on November 10,1993 with Dave Gillespie's p2c translator from the Pascal program pdd.p written by Komei Fukuda. */ #include "setoper.h" /* set operation library header (Ver. June 1, 2000 or later) */ #include "cdd_f.h" #include #include #include #include #include /* Global Variables */ ddf_boolean ddf_debug =ddf_FALSE; ddf_boolean ddf_log =ddf_FALSE; /* GLOBAL CONSTANTS and STATICS VARIABLES (to be set by ddf_set_global_constants() */ myfloat ddf_zero; myfloat ddf_one; myfloat ddf_purezero; myfloat ddf_minuszero; myfloat ddf_minusone; time_t ddf_statStartTime; /* cddlib starting time */ long ddf_statBApivots; /* basis finding pivots */ long ddf_statCCpivots; /* criss-cross pivots */ long ddf_statDS1pivots; /* phase 1 pivots */ long ddf_statDS2pivots; /* phase 2 pivots */ long ddf_statACpivots; /* anticycling (cc) pivots */ #ifdef ddf_GMPRATIONAL long ddf_statBSpivots; /* basis status checking pivots */ #endif ddf_LPSolverType ddf_choiceLPSolverDefault; /* Default LP solver Algorithm */ ddf_LPSolverType ddf_choiceRedcheckAlgorithm; /* Redundancy Checking Algorithm */ ddf_boolean ddf_choiceLexicoPivotQ; /* whether to use the lexicographic pivot */ /* #include THINK C PROFILER */ /* #include THINK C PROFILER */ void ddf_DDInit(ddf_ConePtr cone) { cone->Error=ddf_NoError; cone->CompStatus=ddf_InProgress; cone->RayCount = 0; cone->TotalRayCount = 0; cone->FeasibleRayCount = 0; cone->WeaklyFeasibleRayCount = 0; cone->EdgeCount=0; /* active edge count */ cone->TotalEdgeCount=0; /* active edge count */ ddf_SetInequalitySets(cone); ddf_ComputeRowOrderVector(cone); cone->RecomputeRowOrder=ddf_FALSE; } void ddf_DDMain(ddf_ConePtr cone) { ddf_rowrange hh, itemp, otemp; ddf_boolean locallog=ddf_log; /* if ddf_log=ddf_FALSE, no log will be written. */ if (cone->d<=0){ cone->Iteration=cone->m; cone->FeasibleRayCount=0; cone->CompStatus=ddf_AllFound; goto _L99; } if (locallog) { fprintf(stderr,"(Initially added rows ) = "); set_fwrite(stderr,cone->InitialHalfspaces); } while (cone->Iteration <= cone->m) { ddf_SelectNextHalfspace(cone, cone->WeaklyAddedHalfspaces, &hh); if (set_member(hh,cone->NonequalitySet)){ /* Skip the row hh */ if (ddf_debug) { fprintf(stderr,"*The row # %3ld should be inactive and thus skipped.\n", hh); } set_addelem(cone->WeaklyAddedHalfspaces, hh); } else { if (cone->PreOrderedRun) ddf_AddNewHalfspace2(cone, hh); else{ ddf_AddNewHalfspace1(cone, hh); } set_addelem(cone->AddedHalfspaces, hh); set_addelem(cone->WeaklyAddedHalfspaces, hh); } if (!cone->PreOrderedRun){ for (itemp=1; cone->OrderVector[itemp]!=hh; itemp++); otemp=cone->OrderVector[cone->Iteration]; cone->OrderVector[cone->Iteration]=hh; /* store the dynamic ordering in ordervec */ cone->OrderVector[itemp]=otemp; /* store the dynamic ordering in ordervec */ } if (locallog){ fprintf(stderr,"(Iter, Row, #Total, #Curr, #Feas)= %5ld %5ld %9ld %6ld %6ld\n", cone->Iteration, hh, cone->TotalRayCount, cone->RayCount, cone->FeasibleRayCount); } if (cone->CompStatus==ddf_AllFound||cone->CompStatus==ddf_RegionEmpty) { set_addelem(cone->AddedHalfspaces, hh); goto _L99; } (cone->Iteration)++; } _L99:; if (cone->d<=0 || cone->newcol[1]==0){ /* fixing the number of output */ cone->parent->n=cone->LinearityDim + cone->FeasibleRayCount -1; cone->parent->ldim=cone->LinearityDim - 1; } else { cone->parent->n=cone->LinearityDim + cone->FeasibleRayCount; cone->parent->ldim=cone->LinearityDim; } } void ddf_InitialDataSetup(ddf_ConePtr cone) { long j, r; ddf_rowset ZSet; static ddf_Arow Vector1,Vector2; static ddf_colrange last_d=0; if (last_d < cone->d){ if (last_d>0) { for (j=0; jd,sizeof(myfloat)); Vector2=(myfloat*)calloc(cone->d,sizeof(myfloat)); for (j=0; jd; j++){ ddf_init(Vector1[j]); ddf_init(Vector2[j]); } last_d=cone->d; } cone->RecomputeRowOrder=ddf_FALSE; cone->ArtificialRay = NULL; cone->FirstRay = NULL; cone->LastRay = NULL; set_initialize(&ZSet,cone->m); ddf_AddArtificialRay(cone); set_copy(cone->AddedHalfspaces, cone->InitialHalfspaces); set_copy(cone->WeaklyAddedHalfspaces, cone->InitialHalfspaces); ddf_UpdateRowOrderVector(cone, cone->InitialHalfspaces); for (r = 1; r <= cone->d; r++) { for (j = 0; j < cone->d; j++){ ddf_set(Vector1[j], cone->B[j][r-1]); ddf_neg(Vector2[j], cone->B[j][r-1]); } ddf_Normalize(cone->d, Vector1); ddf_Normalize(cone->d, Vector2); ddf_ZeroIndexSet(cone->m, cone->d, cone->A, Vector1, ZSet); if (set_subset(cone->EqualitySet, ZSet)){ if (ddf_debug) { fprintf(stderr,"add an initial ray with zero set:"); set_fwrite(stderr,ZSet); } ddf_AddRay(cone, Vector1); if (cone->InitialRayIndex[r]==0) { ddf_AddRay(cone, Vector2); if (ddf_debug) { fprintf(stderr,"and add its negative also.\n"); } } } } ddf_CreateInitialEdges(cone); cone->Iteration = cone->d + 1; if (cone->Iteration > cone->m) cone->CompStatus=ddf_AllFound; /* 0.94b */ set_free(ZSet); } ddf_boolean ddf_CheckEmptiness(ddf_PolyhedraPtr poly, ddf_ErrorType *err) { ddf_rowset R, S; ddf_MatrixPtr M=NULL; ddf_boolean answer=ddf_FALSE; *err=ddf_NoError; if (poly->representation==ddf_Inequality){ M=ddf_CopyInequalities(poly); set_initialize(&R, M->rowsize); set_initialize(&S, M->rowsize); if (!ddf_ExistsRestrictedFace(M, R, S, err)){ poly->child->CompStatus=ddf_AllFound; poly->IsEmpty=ddf_TRUE; poly->n=0; answer=ddf_TRUE; } set_free(R); set_free(S); ddf_FreeMatrix(M); } else if (poly->representation==ddf_Generator && poly->m<=0){ *err=ddf_EmptyVrepresentation; poly->IsEmpty=ddf_TRUE; poly->child->CompStatus=ddf_AllFound; answer=ddf_TRUE; poly->child->Error=*err; } return answer; } ddf_boolean ddf_DoubleDescription(ddf_PolyhedraPtr poly, ddf_ErrorType *err) { ddf_ConePtr cone=NULL; ddf_boolean found=ddf_FALSE; *err=ddf_NoError; if (poly!=NULL && (poly->child==NULL || poly->child->CompStatus!=ddf_AllFound)){ cone=ddf_ConeDataLoad(poly); /* create a cone associated with poly by homogenization */ time(&cone->starttime); ddf_DDInit(cone); if (poly->representation==ddf_Generator && poly->m<=0){ *err=ddf_EmptyVrepresentation; cone->Error=*err; goto _L99; } /* Check emptiness of the polyhedron */ ddf_CheckEmptiness(poly,err); if (cone->CompStatus!=ddf_AllFound){ ddf_FindInitialRays(cone, &found); if (found) { ddf_InitialDataSetup(cone); if (cone->CompStatus==ddf_AllFound) goto _L99; ddf_DDMain(cone); if (cone->FeasibleRayCount!=cone->RayCount) *err=ddf_NumericallyInconsistent; /* cddlib-093d */ } } time(&cone->endtime); } _L99: ; return found; } ddf_boolean ddf_DoubleDescription2(ddf_PolyhedraPtr poly, ddf_RowOrderType horder, ddf_ErrorType *err) { ddf_ConePtr cone=NULL; ddf_boolean found=ddf_FALSE; *err=ddf_NoError; if (poly!=NULL && (poly->child==NULL || poly->child->CompStatus!=ddf_AllFound)){ cone=ddf_ConeDataLoad(poly); /* create a cone associated with poly by homogenization */ cone->HalfspaceOrder=horder; /* set the row order */ time(&cone->starttime); ddf_DDInit(cone); if (poly->representation==ddf_Generator && poly->m<=0){ *err=ddf_EmptyVrepresentation; cone->Error=*err; goto _L99; } /* Check emptiness of the polyhedron */ ddf_CheckEmptiness(poly,err); if (cone->CompStatus!=ddf_AllFound){ ddf_FindInitialRays(cone, &found); if (found) { ddf_InitialDataSetup(cone); if (cone->CompStatus==ddf_AllFound) goto _L99; ddf_DDMain(cone); if (cone->FeasibleRayCount!=cone->RayCount) *err=ddf_NumericallyInconsistent; /* cddlib-093d */ } } time(&cone->endtime); } _L99: ; return found; } ddf_boolean ddf_DDInputAppend(ddf_PolyhedraPtr *poly, ddf_MatrixPtr M, ddf_ErrorType *err) { /* This is imcomplete. It simply solves the problem from scratch. */ ddf_boolean found; ddf_ErrorType error; if ((*poly)->child!=NULL) ddf_FreeDDMemory(*poly); ddf_AppendMatrix2Poly(poly, M); (*poly)->representation=ddf_Inequality; found=ddf_DoubleDescription(*poly, &error); *err=error; return found; } ddf_boolean ddf_DDFile2File(char *ifile, char *ofile, ddf_ErrorType *err) { /* The representation conversion from an input file to an outfile. */ /* modified by D. Avis to allow stdin/stdout */ ddf_boolean found=ddf_TRUE; FILE *reading=NULL,*writing=NULL; ddf_PolyhedraPtr poly; ddf_MatrixPtr M, A, G; if (strcmp(ifile,"**stdin") == 0 ) reading = stdin; else if ( ( reading = fopen(ifile, "r") )!= NULL) { fprintf(stderr,"input file %s is open\n", ifile); } else{ fprintf(stderr,"The input file %s not found\n",ifile); found=ddf_FALSE; *err=ddf_IFileNotFound; goto _L99; } if (found){ if (strcmp(ofile,"**stdout") == 0 ) writing = stdout; else if ( (writing = fopen(ofile, "w") ) != NULL){ fprintf(stderr,"output file %s is open\n",ofile); found=ddf_TRUE; } else { fprintf(stderr,"The output file %s cannot be opened\n",ofile); found=ddf_FALSE; *err=ddf_OFileNotOpen; goto _L99; } } M=ddf_PolyFile2Matrix(reading, err); if (*err!=ddf_NoError){ goto _L99; } poly=ddf_DDMatrix2Poly(M, err); /* compute the second representation */ ddf_FreeMatrix(M); if (*err==ddf_NoError) { ddf_WriteRunningMode(writing, poly); A=ddf_CopyInequalities(poly); G=ddf_CopyGenerators(poly); if (poly->representation==ddf_Inequality) { ddf_WriteMatrix(writing,G); } else { ddf_WriteMatrix(writing,A); } ddf_FreePolyhedra(poly); ddf_FreeMatrix(A); ddf_FreeMatrix(G); } _L99: ; if (*err!=ddf_NoError) ddf_WriteErrorMessages(stderr,*err); if (reading!=NULL) fclose(reading); if (writing!=NULL) fclose(writing); return found; } /* end of cddlib.c */ cddlib-094g/lib-src-gmp/cddlp.c000077700000000000000000000000001206770251100213222../lib-src/cddlp.custar00rootroot00000000000000cddlib-094g/lib-src-gmp/cddlp_f.c000066400000000000000000003654041206770251100166500ustar00rootroot00000000000000/* automatically generated by sed scripts from the c source named below: */ /* cddlp.c: dual simplex method c-code written by Komei Fukuda, fukuda@ifor.math.ethz.ch Version 0.94g, March 23, 2012 */ /* cddlp.c : C-Implementation of the dual simplex method for solving an LP: max/min A_(m-1).x subject to x in P, where P= {x : A_i.x >= 0, i=0,...,m-2, and x_0=1}, and A_i is the i-th row of an m x n matrix A. Please read COPYING (GNU General Public Licence) and the manual cddlibman.tex for detail. */ #include "setoper.h" /* set operation library header (Ver. May 18, 2000 or later) */ #include "cdd_f.h" #include #include #include #include #include #if defined ddf_GMPRATIONAL #include "cdd_f.h" #endif #define ddf_CDDLPVERSION "Version 0.94b (August 25, 2005)" #define ddf_FALSE 0 #define ddf_TRUE 1 typedef set_type rowset; /* set_type defined in setoper.h */ typedef set_type colset; void ddf_CrissCrossSolve(ddf_LPPtr lp,ddf_ErrorType *); void ddf_DualSimplexSolve(ddf_LPPtr lp,ddf_ErrorType *); void ddf_CrissCrossMinimize(ddf_LPPtr,ddf_ErrorType *); void ddf_CrissCrossMaximize(ddf_LPPtr,ddf_ErrorType *); void ddf_DualSimplexMinimize(ddf_LPPtr,ddf_ErrorType *); void ddf_DualSimplexMaximize(ddf_LPPtr,ddf_ErrorType *); void ddf_FindLPBasis(ddf_rowrange,ddf_colrange,ddf_Amatrix,ddf_Bmatrix,ddf_rowindex,ddf_rowset, ddf_colindex,ddf_rowindex,ddf_rowrange,ddf_colrange, ddf_colrange *,int *,ddf_LPStatusType *,long *); void ddf_FindDualFeasibleBasis(ddf_rowrange,ddf_colrange,ddf_Amatrix,ddf_Bmatrix,ddf_rowindex, ddf_colindex,long *,ddf_rowrange,ddf_colrange,ddf_boolean, ddf_colrange *,ddf_ErrorType *,ddf_LPStatusType *,long *, long maxpivots); #ifdef ddf_GMPRATIONAL void ddf_BasisStatus(ddf_LPPtr lpf, ddf_LPPtr lp, ddf_boolean*); void ddf_BasisStatusMinimize(ddf_rowrange,ddf_colrange, ddf_Amatrix,ddf_Bmatrix,ddf_rowset, ddf_rowrange,ddf_colrange,ddf_LPStatusType,myfloat *,ddf_Arow,ddf_Arow,ddf_rowset,ddf_colindex, ddf_rowrange,ddf_colrange,ddf_colrange *,long *, int *, int *); void ddf_BasisStatusMaximize(ddf_rowrange,ddf_colrange,ddf_Amatrix,ddf_Bmatrix,ddf_rowset, ddf_rowrange,ddf_colrange,ddf_LPStatusType,myfloat *,ddf_Arow,ddf_Arow,ddf_rowset,ddf_colindex, ddf_rowrange,ddf_colrange,ddf_colrange *,long *, int *, int *); #endif void ddf_WriteBmatrix(FILE *f,ddf_colrange d_size,ddf_Bmatrix T); void ddf_SetNumberType(char *line,ddf_NumberType *number,ddf_ErrorType *Error); void ddf_ComputeRowOrderVector2(ddf_rowrange m_size,ddf_colrange d_size,ddf_Amatrix A, ddf_rowindex OV,ddf_RowOrderType ho,unsigned int rseed); void ddf_SelectPreorderedNext2(ddf_rowrange m_size,ddf_colrange d_size, rowset excluded,ddf_rowindex OV,ddf_rowrange *hnext); void ddf_SetSolutions(ddf_rowrange,ddf_colrange, ddf_Amatrix,ddf_Bmatrix,ddf_rowrange,ddf_colrange,ddf_LPStatusType, myfloat *,ddf_Arow,ddf_Arow,ddf_rowset,ddf_colindex,ddf_rowrange,ddf_colrange,ddf_rowindex); void ddf_WriteTableau(FILE *,ddf_rowrange,ddf_colrange,ddf_Amatrix,ddf_Bmatrix, ddf_colindex,ddf_rowindex); void ddf_WriteSignTableau(FILE *,ddf_rowrange,ddf_colrange,ddf_Amatrix,ddf_Bmatrix, ddf_colindex,ddf_rowindex); ddf_LPSolutionPtr ddf_CopyLPSolution(ddf_LPPtr lp) { ddf_LPSolutionPtr lps; ddf_colrange j; long i; lps=(ddf_LPSolutionPtr) calloc(1,sizeof(ddf_LPSolutionType)); for (i=1; i<=ddf_filenamelen; i++) lps->filename[i-1]=lp->filename[i-1]; lps->objective=lp->objective; lps->solver=lp->solver; lps->m=lp->m; lps->d=lp->d; lps->numbtype=lp->numbtype; lps->LPS=lp->LPS; /* the current solution status */ ddf_init(lps->optvalue); ddf_set(lps->optvalue,lp->optvalue); /* optimal value */ ddf_InitializeArow(lp->d+1,&(lps->sol)); ddf_InitializeArow(lp->d+1,&(lps->dsol)); lps->nbindex=(long*) calloc((lp->d)+1,sizeof(long)); /* dual solution */ for (j=0; j<=lp->d; j++){ ddf_set(lps->sol[j],lp->sol[j]); ddf_set(lps->dsol[j],lp->dsol[j]); lps->nbindex[j]=lp->nbindex[j]; } lps->pivots[0]=lp->pivots[0]; lps->pivots[1]=lp->pivots[1]; lps->pivots[2]=lp->pivots[2]; lps->pivots[3]=lp->pivots[3]; lps->pivots[4]=lp->pivots[4]; lps->total_pivots=lp->total_pivots; return lps; } ddf_LPPtr ddf_CreateLPData(ddf_LPObjectiveType obj, ddf_NumberType nt,ddf_rowrange m,ddf_colrange d) { ddf_LPType *lp; lp=(ddf_LPPtr) calloc(1,sizeof(ddf_LPType)); lp->solver=ddf_choiceLPSolverDefault; /* set the default lp solver */ lp->d=d; lp->m=m; lp->numbtype=nt; lp->objrow=m; lp->rhscol=1L; lp->objective=ddf_LPnone; lp->LPS=ddf_LPSundecided; lp->eqnumber=0; /* the number of equalities */ lp->nbindex=(long*) calloc(d+1,sizeof(long)); lp->given_nbindex=(long*) calloc(d+1,sizeof(long)); set_initialize(&(lp->equalityset),m); /* i must be in the set iff i-th row is equality . */ lp->redcheck_extensive=ddf_FALSE; /* this is on only for RedundantExtensive */ lp->ired=0; set_initialize(&(lp->redset_extra),m); /* i is in the set if i-th row is newly recognized redundant (during the checking the row ired). */ set_initialize(&(lp->redset_accum),m); /* i is in the set if i-th row is recognized redundant (during the checking the row ired). */ set_initialize(&(lp->posset_extra),m); /* i is in the set if i-th row is recognized non-linearity (during the course of computation). */ lp->lexicopivot=ddf_choiceLexicoPivotQ; /* ddf_choice... is set in ddf_set_global_constants() */ lp->m_alloc=lp->m+2; lp->d_alloc=lp->d+2; lp->objective=obj; ddf_InitializeBmatrix(lp->d_alloc,&(lp->B)); ddf_InitializeAmatrix(lp->m_alloc,lp->d_alloc,&(lp->A)); ddf_InitializeArow(lp->d_alloc,&(lp->sol)); ddf_InitializeArow(lp->d_alloc,&(lp->dsol)); ddf_init(lp->optvalue); return lp; } ddf_LPPtr ddf_Matrix2LP(ddf_MatrixPtr M, ddf_ErrorType *err) { ddf_rowrange m, i, irev, linc; ddf_colrange d, j; ddf_LPType *lp; ddf_boolean localdebug=ddf_FALSE; *err=ddf_NoError; linc=set_card(M->linset); m=M->rowsize+1+linc; /* We represent each equation by two inequalities. This is not the best way but makes the code simple. */ d=M->colsize; if (localdebug) fprintf(stderr,"number of equalities = %ld\n", linc); lp=ddf_CreateLPData(M->objective, M->numbtype, m, d); lp->Homogeneous = ddf_TRUE; lp->eqnumber=linc; /* this records the number of equations */ irev=M->rowsize; /* the first row of the linc reversed inequalities. */ for (i = 1; i <= M->rowsize; i++) { if (set_member(i, M->linset)) { irev=irev+1; set_addelem(lp->equalityset,i); /* it is equality. */ /* the reversed row irev is not in the equality set. */ for (j = 1; j <= M->colsize; j++) { ddf_neg(lp->A[irev-1][j-1],M->matrix[i-1][j-1]); } /*of j*/ if (localdebug) fprintf(stderr,"equality row %ld generates the reverse row %ld.\n",i,irev); } for (j = 1; j <= M->colsize; j++) { ddf_set(lp->A[i-1][j-1],M->matrix[i-1][j-1]); if (j==1 && irowsize && ddf_Nonzero(M->matrix[i-1][j-1])) lp->Homogeneous = ddf_FALSE; } /*of j*/ } /*of i*/ for (j = 1; j <= M->colsize; j++) { ddf_set(lp->A[m-1][j-1],M->rowvec[j-1]); /* objective row */ } /*of j*/ return lp; } ddf_LPPtr ddf_Matrix2Feasibility(ddf_MatrixPtr M, ddf_ErrorType *err) /* Load a matrix to create an LP object for feasibility. It is essentially the ddf_Matrix2LP except that the objject function is set to identically ZERO (maximization). */ /* 094 */ { ddf_rowrange m, linc; ddf_colrange j; ddf_LPType *lp; *err=ddf_NoError; linc=set_card(M->linset); m=M->rowsize+1+linc; /* We represent each equation by two inequalities. This is not the best way but makes the code simple. */ lp=ddf_Matrix2LP(M, err); lp->objective = ddf_LPmax; /* since the objective is zero, this is not important */ for (j = 1; j <= M->colsize; j++) { ddf_set(lp->A[m-1][j-1],ddf_purezero); /* set the objective to zero. */ } /*of j*/ return lp; } ddf_LPPtr ddf_Matrix2Feasibility2(ddf_MatrixPtr M, ddf_rowset R, ddf_rowset S, ddf_ErrorType *err) /* Load a matrix to create an LP object for feasibility with additional equality and strict inequality constraints given by R and S. There are three types of inequalities: b_r + A_r x = 0 Linearity (Equations) specified by M b_s + A_s x > 0 Strict Inequalities specified by row index set S b_t + A_t x >= 0 The rest inequalities in M Where the linearity is considered here as the union of linearity specified by M and the additional set R. When S contains any linearity rows, those rows are considered linearity (equation). Thus S does not overlide linearity. To find a feasible solution, we set an LP maximize z subject to b_r + A_r x = 0 all r in Linearity b_s + A_s x - z >= 0 for all s in S b_t + A_t x >= 0 for all the rest rows t 1 - z >= 0 to make the LP bounded. Clearly, the feasibility problem has a solution iff the LP has a positive optimal value. The variable z will be the last variable x_{d+1}. */ /* 094 */ { ddf_rowrange m, i, irev, linc; ddf_colrange d, j; ddf_LPType *lp; ddf_rowset L; ddf_boolean localdebug=ddf_FALSE; *err=ddf_NoError; set_initialize(&L, M->rowsize); set_uni(L,M->linset,R); linc=set_card(L); m=M->rowsize+1+linc+1; /* We represent each equation by two inequalities. This is not the best way but makes the code simple. */ d=M->colsize+1; if (localdebug) fprintf(stderr,"number of equalities = %ld\n", linc); lp=ddf_CreateLPData(ddf_LPmax, M->numbtype, m, d); lp->Homogeneous = ddf_TRUE; lp->eqnumber=linc; /* this records the number of equations */ irev=M->rowsize; /* the first row of the linc reversed inequalities. */ for (i = 1; i <= M->rowsize; i++) { if (set_member(i, L)) { irev=irev+1; set_addelem(lp->equalityset,i); /* it is equality. */ /* the reversed row irev is not in the equality set. */ for (j = 1; j <= M->colsize; j++) { ddf_neg(lp->A[irev-1][j-1],M->matrix[i-1][j-1]); } /*of j*/ if (localdebug) fprintf(stderr,"equality row %ld generates the reverse row %ld.\n",i,irev); } else if (set_member(i, S)) { ddf_set(lp->A[i-1][M->colsize],ddf_minusone); } for (j = 1; j <= M->colsize; j++) { ddf_set(lp->A[i-1][j-1],M->matrix[i-1][j-1]); if (j==1 && irowsize && ddf_Nonzero(M->matrix[i-1][j-1])) lp->Homogeneous = ddf_FALSE; } /*of j*/ } /*of i*/ for (j = 1; j <= d; j++) { ddf_set(lp->A[m-2][j-1],ddf_purezero); /* initialize */ } /*of j*/ ddf_set(lp->A[m-2][0],ddf_one); /* the bounding constraint. */ ddf_set(lp->A[m-2][M->colsize],ddf_minusone); /* the bounding constraint. */ for (j = 1; j <= d; j++) { ddf_set(lp->A[m-1][j-1],ddf_purezero); /* initialize */ } /*of j*/ ddf_set(lp->A[m-1][M->colsize],ddf_one); /* maximize z */ set_free(L); return lp; } void ddf_FreeLPData(ddf_LPPtr lp) { if ((lp)!=NULL){ ddf_clear(lp->optvalue); ddf_FreeArow(lp->d_alloc,lp->dsol); ddf_FreeArow(lp->d_alloc,lp->sol); ddf_FreeBmatrix(lp->d_alloc,lp->B); ddf_FreeAmatrix(lp->m_alloc,lp->d_alloc,lp->A); set_free(lp->equalityset); set_free(lp->redset_extra); set_free(lp->redset_accum); set_free(lp->posset_extra); free(lp->nbindex); free(lp->given_nbindex); free(lp); } } void ddf_FreeLPSolution(ddf_LPSolutionPtr lps) { if (lps!=NULL){ free(lps->nbindex); ddf_FreeArow(lps->d+1,lps->dsol); ddf_FreeArow(lps->d+1,lps->sol); ddf_clear(lps->optvalue); free(lps); } } int ddf_LPReverseRow(ddf_LPPtr lp, ddf_rowrange i) { ddf_colrange j; int success=0; if (i>=1 && i<=lp->m){ lp->LPS=ddf_LPSundecided; for (j=1; j<=lp->d; j++) { ddf_neg(lp->A[i-1][j-1],lp->A[i-1][j-1]); /* negating the i-th constraint of A */ } success=1; } return success; } int ddf_LPReplaceRow(ddf_LPPtr lp, ddf_rowrange i, ddf_Arow a) { ddf_colrange j; int success=0; if (i>=1 && i<=lp->m){ lp->LPS=ddf_LPSundecided; for (j=1; j<=lp->d; j++) { ddf_set(lp->A[i-1][j-1],a[j-1]); /* replacing the i-th constraint by a */ } success=1; } return success; } ddf_Arow ddf_LPCopyRow(ddf_LPPtr lp, ddf_rowrange i) { ddf_colrange j; ddf_Arow a; if (i>=1 && i<=lp->m){ ddf_InitializeArow(lp->d, &a); for (j=1; j<=lp->d; j++) { ddf_set(a[j-1],lp->A[i-1][j-1]); /* copying the i-th row to a */ } } return a; } void ddf_SetNumberType(char *line,ddf_NumberType *number,ddf_ErrorType *Error) { if (strncmp(line,"integer",7)==0) { *number = ddf_Integer; return; } else if (strncmp(line,"rational",8)==0) { *number = ddf_Rational; return; } else if (strncmp(line,"real",4)==0) { *number = ddf_Real; return; } else { *number=ddf_Unknown; *Error=ddf_ImproperInputFormat; } } void ddf_WriteTableau(FILE *f,ddf_rowrange m_size,ddf_colrange d_size,ddf_Amatrix A,ddf_Bmatrix T, ddf_colindex nbindex,ddf_rowindex bflag) /* Write the tableau A.T */ { ddf_colrange j; ddf_rowrange i; myfloat x; ddf_init(x); fprintf(f," %ld %ld real\n",m_size,d_size); fprintf(f," |"); for (j=1; j<= d_size; j++) { fprintf(f," %ld",nbindex[j]); } fprintf(f,"\n"); for (j=1; j<= d_size+1; j++) { fprintf(f," ----"); } fprintf(f,"\n"); for (i=1; i<= m_size; i++) { fprintf(f," %3ld(%3ld) |",i,bflag[i]); for (j=1; j<= d_size; j++) { ddf_TableauEntry(&x,m_size,d_size,A,T,i,j); ddf_WriteNumber(f,x); } fprintf(f,"\n"); } fprintf(f,"end\n"); ddf_clear(x); } void ddf_WriteSignTableau(FILE *f,ddf_rowrange m_size,ddf_colrange d_size,ddf_Amatrix A,ddf_Bmatrix T, ddf_colindex nbindex,ddf_rowindex bflag) /* Write the sign tableau A.T */ { ddf_colrange j; ddf_rowrange i; myfloat x; ddf_init(x); fprintf(f," %ld %ld real\n",m_size,d_size); fprintf(f," |"); for (j=1; j<= d_size; j++) { fprintf(f,"%3ld",nbindex[j]); } fprintf(f,"\n ------- | "); for (j=1; j<= d_size; j++) { fprintf(f,"---"); } fprintf(f,"\n"); for (i=1; i<= m_size; i++) { fprintf(f," %3ld(%3ld) |",i,bflag[i]); for (j=1; j<= d_size; j++) { ddf_TableauEntry(&x,m_size,d_size,A,T,i,j); if (ddf_Positive(x)) fprintf(f, " +"); else if (ddf_Negative(x)) fprintf(f, " -"); else fprintf(f, " 0"); } fprintf(f,"\n"); } fprintf(f,"end\n"); ddf_clear(x); } void ddf_WriteSignTableau2(FILE *f,ddf_rowrange m_size,ddf_colrange d_size,ddf_Amatrix A,ddf_Bmatrix T, ddf_colindex nbindex_ref, ddf_colindex nbindex,ddf_rowindex bflag) /* Write the sign tableau A.T and the reference basis */ { ddf_colrange j; ddf_rowrange i; myfloat x; ddf_init(x); fprintf(f," %ld %ld real\n",m_size,d_size); fprintf(f," |"); for (j=1; j<= d_size; j++) fprintf(f,"%3ld",nbindex_ref[j]); fprintf(f,"\n |"); for (j=1; j<= d_size; j++) { fprintf(f,"%3ld",nbindex[j]); } fprintf(f,"\n ------- | "); for (j=1; j<= d_size; j++) { fprintf(f,"---"); } fprintf(f,"\n"); for (i=1; i<= m_size; i++) { fprintf(f," %3ld(%3ld) |",i,bflag[i]); for (j=1; j<= d_size; j++) { ddf_TableauEntry(&x,m_size,d_size,A,T,i,j); if (ddf_Positive(x)) fprintf(f, " +"); else if (ddf_Negative(x)) fprintf(f, " -"); else fprintf(f, " 0"); } fprintf(f,"\n"); } fprintf(f,"end\n"); ddf_clear(x); } void ddf_GetRedundancyInformation(ddf_rowrange m_size,ddf_colrange d_size,ddf_Amatrix A,ddf_Bmatrix T, ddf_colindex nbindex,ddf_rowindex bflag, ddf_rowset redset) /* Some basic variables that are forced to be nonnegative will be output. These are variables whose dictionary row components are all nonnegative. */ { ddf_colrange j; ddf_rowrange i; myfloat x; ddf_boolean red=ddf_FALSE,localdebug=ddf_FALSE; long numbred=0; ddf_init(x); for (i=1; i<= m_size; i++) { red=ddf_TRUE; for (j=1; j<= d_size; j++) { ddf_TableauEntry(&x,m_size,d_size,A,T,i,j); if (red && ddf_Negative(x)) red=ddf_FALSE; } if (bflag[i]<0 && red) { numbred+=1; set_addelem(redset,i); } } if (localdebug) fprintf(stderr,"\nddf_GetRedundancyInformation: %ld redundant rows over %ld\n",numbred, m_size); ddf_clear(x); } void ddf_SelectDualSimplexPivot(ddf_rowrange m_size,ddf_colrange d_size, int Phase1,ddf_Amatrix A,ddf_Bmatrix T,ddf_rowindex OV, ddf_colindex nbindex_ref, ddf_colindex nbindex,ddf_rowindex bflag, ddf_rowrange objrow,ddf_colrange rhscol, ddf_boolean lexicopivot, ddf_rowrange *r,ddf_colrange *s,int *selected,ddf_LPStatusType *lps) { /* selects a dual simplex pivot (*r,*s) if the current basis is dual feasible and not optimal. If not dual feasible, the procedure returns *selected=ddf_FALSE and *lps=LPSundecided. If Phase1=ddf_TRUE, the RHS column will be considered as the negative of the column of the largest variable (==m_size). For this case, it is assumed that the caller used the auxiliary row (with variable m_size) to make the current dictionary dual feasible before calling this routine so that the nonbasic column for m_size corresponds to the auxiliary variable. */ ddf_boolean colselected=ddf_FALSE,rowselected=ddf_FALSE, dualfeasible=ddf_TRUE,localdebug=ddf_FALSE; ddf_rowrange i,iref; ddf_colrange j,k; myfloat val,valn, minval,rat,minrat; static ddf_Arow rcost; static ddf_colrange d_last=0; static ddf_colset tieset,stieset; /* store the column indices with tie */ ddf_init(val); ddf_init(valn); ddf_init(minval); ddf_init(rat); ddf_init(minrat); if (d_last0) { for (j=1; j<=d_last; j++){ ddf_clear(rcost[j-1]);} free(rcost); set_free(tieset); set_free(stieset); } rcost=(myfloat*) calloc(d_size,sizeof(myfloat)); for (j=1; j<=d_size; j++){ ddf_init(rcost[j-1]);} set_initialize(&tieset,d_size); set_initialize(&stieset,d_size); d_last=d_size; } *r=0; *s=0; *selected=ddf_FALSE; *lps=ddf_LPSundecided; for (j=1; j<=d_size; j++){ if (j!=rhscol){ ddf_TableauEntry(&(rcost[j-1]),m_size,d_size,A,T,objrow,j); if (ddf_Positive(rcost[j-1])) { dualfeasible=ddf_FALSE; } } } if (dualfeasible){ while ((*lps==ddf_LPSundecided) && (!rowselected) && (!colselected)) { for (i=1; i<=m_size; i++) { if (i!=objrow && bflag[i]==-1) { /* i is a basic variable */ if (Phase1){ ddf_TableauEntry(&val, m_size,d_size,A,T,i,bflag[m_size]); ddf_neg(val,val); /* for dual Phase I. The RHS (dual objective) is the negative of the auxiliary variable column. */ } else {ddf_TableauEntry(&val,m_size,d_size,A,T,i,rhscol);} if (ddf_Smaller(val,minval)) { *r=i; ddf_set(minval,val); } } } if (ddf_Nonnegative(minval)) { *lps=ddf_Optimal; } else { rowselected=ddf_TRUE; set_emptyset(tieset); for (j=1; j<=d_size; j++){ ddf_TableauEntry(&val,m_size,d_size,A,T,*r,j); if (j!=rhscol && ddf_Positive(val)) { ddf_div(rat,rcost[j-1],val); ddf_neg(rat,rat); if (*s==0 || ddf_Smaller(rat,minrat)){ ddf_set(minrat,rat); *s=j; set_emptyset(tieset); set_addelem(tieset, j); } else if (ddf_Equal(rat,minrat)){ set_addelem(tieset,j); } } } if (*s>0) { if (!lexicopivot || set_card(tieset)==1){ colselected=ddf_TRUE; *selected=ddf_TRUE; } else { /* lexicographic rule with respect to the given reference cobasis. */ if (localdebug) {printf("Tie occurred at:"); set_write(tieset); printf("\n"); ddf_WriteTableau(stderr,m_size,d_size,A,T,nbindex,bflag); } *s=0; k=2; /* k runs through the column indices except RHS. */ do { iref=nbindex_ref[k]; /* iref runs though the reference basic indices */ if (iref>0) { j=bflag[iref]; if (j>0) { if (set_member(j,tieset) && set_card(tieset)==1) { *s=j; colselected=ddf_TRUE; } else { set_delelem(tieset, j); /* iref is cobasic, and the corresponding col is not the pivot column except it is the last one. */ } } else { *s=0; for (j=1; j<=d_size; j++){ if (set_member(j,tieset)) { ddf_TableauEntry(&val,m_size,d_size,A,T,*r,j); ddf_TableauEntry(&valn,m_size,d_size,A,T,iref,j); if (j!=rhscol && ddf_Positive(val)) { ddf_div(rat,valn,val); if (*s==0 || ddf_Smaller(rat,minrat)){ ddf_set(minrat,rat); *s=j; set_emptyset(stieset); set_addelem(stieset, j); } else if (ddf_Equal(rat,minrat)){ set_addelem(stieset,j); } } } } set_copy(tieset,stieset); if (set_card(tieset)==1) colselected=ddf_TRUE; } } k+=1; } while (!colselected && k<=d_size); *selected=ddf_TRUE; } } else *lps=ddf_Inconsistent; } } /* end of while */ } if (localdebug) { if (Phase1) fprintf(stderr,"Phase 1 : select %ld,%ld\n",*r,*s); else fprintf(stderr,"Phase 2 : select %ld,%ld\n",*r,*s); } ddf_clear(val); ddf_clear(valn); ddf_clear(minval); ddf_clear(rat); ddf_clear(minrat); } void ddf_TableauEntry(myfloat *x,ddf_rowrange m_size, ddf_colrange d_size, ddf_Amatrix X, ddf_Bmatrix T, ddf_rowrange r, ddf_colrange s) /* Compute the (r,s) entry of X.T */ { ddf_colrange j; myfloat temp; ddf_init(temp); ddf_set(*x,ddf_purezero); for (j=0; j< d_size; j++) { ddf_mul(temp,X[r-1][j], T[j][s-1]); ddf_add(*x, *x, temp); } ddf_clear(temp); } void ddf_SelectPivot2(ddf_rowrange m_size,ddf_colrange d_size,ddf_Amatrix A,ddf_Bmatrix T, ddf_RowOrderType roworder,ddf_rowindex ordervec, rowset equalityset, ddf_rowrange rowmax,rowset NopivotRow, colset NopivotCol,ddf_rowrange *r,ddf_colrange *s, ddf_boolean *selected) /* Select a position (*r,*s) in the matrix A.T such that (A.T)[*r][*s] is nonzero The choice is feasible, i.e., not on NopivotRow and NopivotCol, and best with respect to the specified roworder */ { int stop; ddf_rowrange i,rtemp; rowset rowexcluded; myfloat Xtemp; ddf_boolean localdebug=ddf_FALSE; stop = ddf_FALSE; localdebug=ddf_debug; ddf_init(Xtemp); set_initialize(&rowexcluded,m_size); set_copy(rowexcluded,NopivotRow); for (i=rowmax+1;i<=m_size;i++) { set_addelem(rowexcluded,i); /* cannot pivot on any row > rmax */ } *selected = ddf_FALSE; do { rtemp=0; i=1; while (i<=m_size && rtemp==0) { /* equalityset vars have highest priorities */ if (set_member(i,equalityset) && !set_member(i,rowexcluded)){ if (localdebug) fprintf(stderr,"marked set %ld chosen as a candidate\n",i); rtemp=i; } i++; } if (rtemp==0) ddf_SelectPreorderedNext2(m_size,d_size,rowexcluded,ordervec,&rtemp);; if (rtemp>=1) { *r=rtemp; *s=1; while (*s <= d_size && !*selected) { ddf_TableauEntry(&Xtemp,m_size,d_size,A,T,*r,*s); if (!set_member(*s,NopivotCol) && ddf_Nonzero(Xtemp)) { *selected = ddf_TRUE; stop = ddf_TRUE; } else { (*s)++; } } if (!*selected) { set_addelem(rowexcluded,rtemp); } } else { *r = 0; *s = 0; stop = ddf_TRUE; } } while (!stop); set_free(rowexcluded); ddf_clear(Xtemp); } void ddf_GaussianColumnPivot(ddf_rowrange m_size, ddf_colrange d_size, ddf_Amatrix X, ddf_Bmatrix T, ddf_rowrange r, ddf_colrange s) /* Update the Transformation matrix T with the pivot operation on (r,s) This procedure performs a implicit pivot operation on the matrix X by updating the dual basis inverse T. */ { ddf_colrange j, j1; myfloat Xtemp0, Xtemp1, Xtemp; static ddf_Arow Rtemp; static ddf_colrange last_d=0; ddf_init(Xtemp0); ddf_init(Xtemp1); ddf_init(Xtemp); if (last_d!=d_size){ if (last_d>0) { for (j=1; j<=last_d; j++) ddf_clear(Rtemp[j-1]); free(Rtemp); } Rtemp=(myfloat*)calloc(d_size,sizeof(myfloat)); for (j=1; j<=d_size; j++) ddf_init(Rtemp[j-1]); last_d=d_size; } for (j=1; j<=d_size; j++) { ddf_TableauEntry(&(Rtemp[j-1]), m_size, d_size, X, T, r,j); } ddf_set(Xtemp0,Rtemp[s-1]); for (j = 1; j <= d_size; j++) { if (j != s) { ddf_div(Xtemp,Rtemp[j-1],Xtemp0); ddf_set(Xtemp1,ddf_purezero); for (j1 = 1; j1 <= d_size; j1++){ ddf_mul(Xtemp1,Xtemp,T[j1-1][s - 1]); ddf_sub(T[j1-1][j-1],T[j1-1][j-1],Xtemp1); /* T[j1-1][j-1] -= T[j1-1][s - 1] * Xtemp / Xtemp0; */ } } } for (j = 1; j <= d_size; j++) ddf_div(T[j-1][s - 1],T[j-1][s - 1],Xtemp0); ddf_clear(Xtemp0); ddf_clear(Xtemp1); ddf_clear(Xtemp); } void ddf_GaussianColumnPivot2(ddf_rowrange m_size,ddf_colrange d_size, ddf_Amatrix A,ddf_Bmatrix T,ddf_colindex nbindex,ddf_rowindex bflag,ddf_rowrange r,ddf_colrange s) /* Update the Transformation matrix T with the pivot operation on (r,s) This procedure performs a implicit pivot operation on the matrix A by updating the dual basis inverse T. */ { int localdebug=ddf_FALSE; long entering; if (ddf_debug) localdebug=ddf_debug; ddf_GaussianColumnPivot(m_size,d_size,A,T,r,s); entering=nbindex[s]; bflag[r]=s; /* the nonbasic variable r corresponds to column s */ nbindex[s]=r; /* the nonbasic variable on s column is r */ if (entering>0) bflag[entering]=-1; /* original variables have negative index and should not affect the row index */ if (localdebug) { fprintf(stderr,"ddf_GaussianColumnPivot2\n"); fprintf(stderr," pivot: (leaving, entering) = (%ld, %ld)\n", r,entering); fprintf(stderr, " bflag[%ld] is set to %ld\n", r, s); } } void ddf_ResetTableau(ddf_rowrange m_size,ddf_colrange d_size,ddf_Bmatrix T, ddf_colindex nbindex,ddf_rowindex bflag,ddf_rowrange objrow,ddf_colrange rhscol) { ddf_rowrange i; ddf_colrange j; /* Initialize T and nbindex */ for (j=1; j<=d_size; j++) nbindex[j]=-j; nbindex[rhscol]=0; /* RHS is already in nonbasis and is considered to be associated with the zero-th row of input. */ ddf_SetToIdentity(d_size,T); /* Set the bflag according to nbindex */ for (i=1; i<=m_size; i++) bflag[i]=-1; /* all basic variables have index -1 */ bflag[objrow]= 0; /* bflag of the objective variable is 0, different from other basic variables which have -1 */ for (j=1; j<=d_size; j++) if (nbindex[j]>0) bflag[nbindex[j]]=j; /* bflag of a nonbasic variable is its column number */ } void ddf_SelectCrissCrossPivot(ddf_rowrange m_size,ddf_colrange d_size,ddf_Amatrix A,ddf_Bmatrix T, ddf_rowindex bflag,ddf_rowrange objrow,ddf_colrange rhscol, ddf_rowrange *r,ddf_colrange *s, int *selected,ddf_LPStatusType *lps) { int colselected=ddf_FALSE,rowselected=ddf_FALSE; ddf_rowrange i; myfloat val; ddf_init(val); *selected=ddf_FALSE; *lps=ddf_LPSundecided; while ((*lps==ddf_LPSundecided) && (!rowselected) && (!colselected)) { for (i=1; i<=m_size; i++) { if (i!=objrow && bflag[i]==-1) { /* i is a basic variable */ ddf_TableauEntry(&val,m_size,d_size,A,T,i,rhscol); if (ddf_Negative(val)) { rowselected=ddf_TRUE; *r=i; break; } } else if (bflag[i] >0) { /* i is nonbasic variable */ ddf_TableauEntry(&val,m_size,d_size,A,T,objrow,bflag[i]); if (ddf_Positive(val)) { colselected=ddf_TRUE; *s=bflag[i]; break; } } } if ((!rowselected) && (!colselected)) { *lps=ddf_Optimal; return; } else if (rowselected) { for (i=1; i<=m_size; i++) { if (bflag[i] >0) { /* i is nonbasic variable */ ddf_TableauEntry(&val,m_size,d_size,A,T,*r,bflag[i]); if (ddf_Positive(val)) { colselected=ddf_TRUE; *s=bflag[i]; *selected=ddf_TRUE; break; } } } } else if (colselected) { for (i=1; i<=m_size; i++) { if (i!=objrow && bflag[i]==-1) { /* i is a basic variable */ ddf_TableauEntry(&val,m_size,d_size,A,T,i,*s); if (ddf_Negative(val)) { rowselected=ddf_TRUE; *r=i; *selected=ddf_TRUE; break; } } } } if (!rowselected) { *lps=ddf_DualInconsistent; } else if (!colselected) { *lps=ddf_Inconsistent; } } ddf_clear(val); } void ddf_CrissCrossSolve(ddf_LPPtr lp, ddf_ErrorType *err) { switch (lp->objective) { case ddf_LPmax: ddf_CrissCrossMaximize(lp,err); break; case ddf_LPmin: ddf_CrissCrossMinimize(lp,err); break; case ddf_LPnone: *err=ddf_NoLPObjective; break; } } void ddf_DualSimplexSolve(ddf_LPPtr lp, ddf_ErrorType *err) { switch (lp->objective) { case ddf_LPmax: ddf_DualSimplexMaximize(lp,err); break; case ddf_LPmin: ddf_DualSimplexMinimize(lp,err); break; case ddf_LPnone: *err=ddf_NoLPObjective; break; } } #ifdef ddf_GMPRATIONAL ddf_LPStatusType LPSf2LPS(ddf_LPStatusType lpsf) { ddf_LPStatusType lps=ddf_LPSundecided; switch (lpsf) { case ddf_LPSundecided: lps=ddf_LPSundecided; break; case ddf_Optimal: lps=ddf_Optimal; break; case ddf_Inconsistent: lps=ddf_Inconsistent; break; case ddf_DualInconsistent: lps=ddf_DualInconsistent; break; case ddf_StrucInconsistent: lps=ddf_StrucInconsistent; break; case ddf_StrucDualInconsistent: lps=ddf_StrucDualInconsistent; break; case ddf_Unbounded: lps=ddf_Unbounded; break; case ddf_DualUnbounded: lps=ddf_DualUnbounded; break; } return lps; } void ddf_BasisStatus(ddf_LPPtr lpf, ddf_LPPtr lp, ddf_boolean *LPScorrect) { int i; ddf_colrange se, j; ddf_boolean basisfound; switch (lp->objective) { case ddf_LPmax: ddf_BasisStatusMaximize(lp->m,lp->d,lp->A,lp->B,lp->equalityset,lp->objrow,lp->rhscol, lpf->LPS,&(lp->optvalue),lp->sol,lp->dsol,lp->posset_extra,lpf->nbindex,lpf->re,lpf->se,&se,lp->pivots, &basisfound, LPScorrect); if (*LPScorrect) { /* printf("BasisStatus Check: the current basis is verified with GMP\n"); */ lp->LPS=LPSf2LPS(lpf->LPS); lp->re=lpf->re; lp->se=se; for (j=1; j<=lp->d; j++) lp->nbindex[j]=lpf->nbindex[j]; } for (i=1; i<=5; i++) lp->pivots[i-1]+=lpf->pivots[i-1]; break; case ddf_LPmin: ddf_BasisStatusMinimize(lp->m,lp->d,lp->A,lp->B,lp->equalityset,lp->objrow,lp->rhscol, lpf->LPS,&(lp->optvalue),lp->sol,lp->dsol,lp->posset_extra,lpf->nbindex,lpf->re,lpf->se,&se,lp->pivots, &basisfound, LPScorrect); if (*LPScorrect) { /* printf("BasisStatus Check: the current basis is verified with GMP\n"); */ lp->LPS=LPSf2LPS(lpf->LPS); lp->re=lpf->re; lp->se=se; for (j=1; j<=lp->d; j++) lp->nbindex[j]=lpf->nbindex[j]; } for (i=1; i<=5; i++) lp->pivots[i-1]+=lpf->pivots[i-1]; break; case ddf_LPnone: break; } } #endif void ddf_FindLPBasis(ddf_rowrange m_size,ddf_colrange d_size, ddf_Amatrix A, ddf_Bmatrix T,ddf_rowindex OV,ddf_rowset equalityset, ddf_colindex nbindex, ddf_rowindex bflag,ddf_rowrange objrow,ddf_colrange rhscol, ddf_colrange *cs,int *found,ddf_LPStatusType *lps,long *pivot_no) { /* Find a LP basis using Gaussian pivots. If the problem has an LP basis, the procedure returns *found=ddf_TRUE,*lps=LPSundecided and an LP basis. If the constraint matrix A (excluding the rhs and objective) is not column independent, there are two cases. If the dependency gives a dual inconsistency, this returns *found=ddf_FALSE, *lps=ddf_StrucDualInconsistent and the evidence column *s. Otherwise, this returns *found=ddf_TRUE, *lps=LPSundecided and an LP basis of size less than d_size. Columns j that do not belong to the basis (i.e. cannot be chosen as pivot because they are all zero) will be indicated in nbindex vector: nbindex[j] will be negative and set to -j. */ int chosen,stop; long pivots_p0=0,rank; colset ColSelected; rowset RowSelected; myfloat val; ddf_rowrange r; ddf_colrange j,s; ddf_init(val); *found=ddf_FALSE; *cs=0; rank=0; stop=ddf_FALSE; *lps=ddf_LPSundecided; set_initialize(&RowSelected,m_size); set_initialize(&ColSelected,d_size); set_addelem(RowSelected,objrow); set_addelem(ColSelected,rhscol); stop=ddf_FALSE; do { /* Find a LP basis */ ddf_SelectPivot2(m_size,d_size,A,T,ddf_MinIndex,OV,equalityset, m_size,RowSelected,ColSelected,&r,&s,&chosen); if (chosen) { set_addelem(RowSelected,r); set_addelem(ColSelected,s); ddf_GaussianColumnPivot2(m_size,d_size,A,T,nbindex,bflag,r,s); pivots_p0++; rank++; } else { for (j=1;j<=d_size && *lps==ddf_LPSundecided; j++) { if (j!=rhscol && nbindex[j]<0){ ddf_TableauEntry(&val,m_size,d_size,A,T,objrow,j); if (ddf_Nonzero(val)){ /* dual inconsistent */ *lps=ddf_StrucDualInconsistent; *cs=j; /* dual inconsistent because the nonzero reduced cost */ } } } if (*lps==ddf_LPSundecided) *found=ddf_TRUE; /* dependent columns but not dual inconsistent. */ stop=ddf_TRUE; } /* printf("d_size=%ld, rank=%ld\n",d_size,rank); */ if (rank==d_size-1) { stop = ddf_TRUE; *found=ddf_TRUE; } } while (!stop); *pivot_no=pivots_p0; ddf_statBApivots+=pivots_p0; set_free(RowSelected); set_free(ColSelected); ddf_clear(val); } void ddf_FindLPBasis2(ddf_rowrange m_size,ddf_colrange d_size, ddf_Amatrix A, ddf_Bmatrix T,ddf_rowindex OV,ddf_rowset equalityset, ddf_colindex nbindex, ddf_rowindex bflag,ddf_rowrange objrow,ddf_colrange rhscol, ddf_colrange *cs,int *found,long *pivot_no) { /* Similar to ddf_FindLPBasis but it is much simpler. This tries to recompute T for the specified basis given by nbindex. It will return *found=ddf_FALSE if the specified basis is not a basis. */ int chosen,stop; long pivots_p0=0,rank; ddf_colset ColSelected,DependentCols; ddf_rowset RowSelected, NopivotRow; myfloat val; ddf_boolean localdebug=ddf_FALSE; ddf_rowrange r,negcount=0; ddf_colrange j,s; ddf_init(val); *found=ddf_FALSE; *cs=0; rank=0; set_initialize(&RowSelected,m_size); set_initialize(&DependentCols,d_size); set_initialize(&ColSelected,d_size); set_initialize(&NopivotRow,m_size); set_addelem(RowSelected,objrow); set_addelem(ColSelected,rhscol); set_compl(NopivotRow, NopivotRow); /* set NopivotRow to be the groundset */ for (j=2; j<=d_size; j++) if (nbindex[j]>0) set_delelem(NopivotRow, nbindex[j]); else if (nbindex[j]<0){ negcount++; set_addelem(DependentCols, -nbindex[j]); set_addelem(ColSelected, -nbindex[j]); } set_uni(RowSelected, RowSelected, NopivotRow); /* RowSelected is the set of rows not allowed to poviot on */ stop=ddf_FALSE; do { /* Find a LP basis */ ddf_SelectPivot2(m_size,d_size,A,T,ddf_MinIndex,OV,equalityset, m_size,RowSelected,ColSelected,&r,&s,&chosen); if (chosen) { set_addelem(RowSelected,r); set_addelem(ColSelected,s); ddf_GaussianColumnPivot2(m_size,d_size,A,T,nbindex,bflag,r,s); if (localdebug && m_size <=10){ ddf_WriteBmatrix(stderr,d_size,T); ddf_WriteTableau(stderr,m_size,d_size,A,T,nbindex,bflag); } pivots_p0++; rank++; } else{ *found=ddf_FALSE; /* cannot pivot on any of the spacified positions. */ stop=ddf_TRUE; } if (rank==d_size-1-negcount) { if (negcount){ /* Now it tries to pivot on rows that are supposed to be dependent. */ set_diff(ColSelected, ColSelected, DependentCols); ddf_SelectPivot2(m_size,d_size,A,T,ddf_MinIndex,OV,equalityset, m_size,RowSelected,ColSelected,&r,&s,&chosen); if (chosen) *found=ddf_FALSE; /* not supposed to be independent */ else *found=ddf_TRUE; if (localdebug){ printf("Try to check the dependent cols:"); set_write(DependentCols); if (chosen) printf("They are not dependent. Can still pivot on (%ld, %ld)\n",r, s); else printf("They are indeed dependent.\n"); } } else { *found=ddf_TRUE; } stop = ddf_TRUE; } } while (!stop); for (j=1; j<=d_size; j++) if (nbindex[j]>0) bflag[nbindex[j]]=j; *pivot_no=pivots_p0; set_free(RowSelected); set_free(ColSelected); set_free(NopivotRow); set_free(DependentCols); ddf_clear(val); } void ddf_FindDualFeasibleBasis(ddf_rowrange m_size,ddf_colrange d_size, ddf_Amatrix A,ddf_Bmatrix T,ddf_rowindex OV, ddf_colindex nbindex,ddf_rowindex bflag,ddf_rowrange objrow,ddf_colrange rhscol, ddf_boolean lexicopivot, ddf_colrange *s,ddf_ErrorType *err,ddf_LPStatusType *lps,long *pivot_no, long maxpivots) { /* Find a dual feasible basis using Phase I of Dual Simplex method. If the problem is dual feasible, the procedure returns *err=NoError, *lps=LPSundecided and a dual feasible basis. If the problem is dual infeasible, this returns *err=NoError, *lps=DualInconsistent and the evidence column *s. Caution: matrix A must have at least one extra row: the row space A[m_size] must have been allocated. */ ddf_boolean phase1,dualfeasible=ddf_TRUE; ddf_boolean localdebug=ddf_FALSE,chosen,stop; ddf_LPStatusType LPSphase1; long pivots_p1=0; ddf_rowrange i,r_val; ddf_colrange j,l,ms=0,s_val,local_m_size; myfloat x,val,maxcost,axvalue,maxratio; static ddf_colrange d_last=0; static ddf_Arow rcost; static ddf_colindex nbindex_ref; /* to be used to store the initial feasible basis for lexico rule */ myfloat scaling,svalue; /* random scaling myfloat value */ myfloat minval; if (ddf_debug) localdebug=ddf_debug; ddf_init(x); ddf_init(val); ddf_init(scaling); ddf_init(svalue); ddf_init(axvalue); ddf_init(maxcost); ddf_set(maxcost,ddf_minuszero); ddf_init(maxratio); ddf_set(maxratio,ddf_minuszero); if (d_last0) { for (j=1; j<=d_last; j++){ ddf_clear(rcost[j-1]);} free(rcost); free(nbindex_ref); } rcost=(myfloat*) calloc(d_size,sizeof(myfloat)); nbindex_ref=(long*) calloc(d_size+1,sizeof(long)); for (j=1; j<=d_size; j++){ ddf_init(rcost[j-1]);} d_last=d_size; } *err=ddf_NoError; *lps=ddf_LPSundecided; *s=0; local_m_size=m_size+1; /* increase m_size by 1 */ ms=0; /* ms will be the index of column which has the largest reduced cost */ for (j=1; j<=d_size; j++){ if (j!=rhscol){ ddf_TableauEntry(&(rcost[j-1]),local_m_size,d_size,A,T,objrow,j); if (ddf_Larger(rcost[j-1],maxcost)) {ddf_set(maxcost,rcost[j-1]); ms = j;} } } if (ddf_Positive(maxcost)) dualfeasible=ddf_FALSE; if (!dualfeasible){ for (j=1; j<=d_size; j++){ ddf_set(A[local_m_size-1][j-1], ddf_purezero); for (l=1; l<=d_size; l++){ if (nbindex[l]>0) { ddf_set_si(scaling,l+10); ddf_mul(svalue,A[nbindex[l]-1][j-1],scaling); ddf_sub(A[local_m_size-1][j-1],A[local_m_size-1][j-1],svalue); /* To make the auxiliary row (0,-11,-12,...,-d-10). It is likely to be better than (0, -1, -1, ..., -1) to avoid a degenerate LP. Version 093c. */ } } } if (localdebug){ fprintf(stderr,"\nddf_FindDualFeasibleBasis: curruent basis is not dual feasible.\n"); fprintf(stderr,"because of the column %ld assoc. with var %ld dual cost =", ms,nbindex[ms]); ddf_WriteNumber(stderr, maxcost); if (localdebug) { if (m_size <=100 && d_size <=30){ printf("\nddf_FindDualFeasibleBasis: the starting dictionary.\n"); ddf_WriteTableau(stdout,m_size+1,d_size,A,T,nbindex,bflag); } } } ms=0; /* Ratio Test: ms will be now the index of column which has the largest reduced cost over the auxiliary row entry */ for (j=1; j<=d_size; j++){ if ((j!=rhscol) && ddf_Positive(rcost[j-1])){ ddf_TableauEntry(&axvalue,local_m_size,d_size,A,T,local_m_size,j); if (ddf_Nonnegative(axvalue)) { *err=ddf_NumericallyInconsistent; /* This should not happen as they are set negative above. Quit the phase I.*/ if (localdebug) fprintf(stderr,"ddf_FindDualFeasibleBasis: Numerical Inconsistency detected.\n"); goto _L99; } ddf_neg(axvalue,axvalue); ddf_div(axvalue,rcost[j-1],axvalue); /* axvalue is the negative of ratio that is to be maximized. */ if (ddf_Larger(axvalue,maxratio)) { ddf_set(maxratio,axvalue); ms = j; } } } if (ms==0) { *err=ddf_NumericallyInconsistent; /* This should not happen. Quit the phase I.*/ if (localdebug) fprintf(stderr,"ddf_FindDualFeasibleBasis: Numerical Inconsistency detected.\n"); goto _L99; } /* Pivot on (local_m_size,ms) so that the dual basic solution becomes feasible */ ddf_GaussianColumnPivot2(local_m_size,d_size,A,T,nbindex,bflag,local_m_size,ms); pivots_p1=pivots_p1+1; if (localdebug) { printf("\nddf_FindDualFeasibleBasis: Pivot on %ld %ld.\n",local_m_size,ms); } for (j=1; j<=d_size; j++) nbindex_ref[j]=nbindex[j]; /* set the reference basis to be the current feasible basis. */ if (localdebug){ fprintf(stderr, "Store the current feasible basis:"); for (j=1; j<=d_size; j++) fprintf(stderr, " %ld", nbindex_ref[j]); fprintf(stderr, "\n"); if (m_size <=100 && d_size <=30) ddf_WriteSignTableau2(stdout,m_size+1,d_size,A,T,nbindex_ref,nbindex,bflag); } phase1=ddf_TRUE; stop=ddf_FALSE; do { /* Dual Simplex Phase I */ chosen=ddf_FALSE; LPSphase1=ddf_LPSundecided; if (pivots_p1>maxpivots) { *err=ddf_LPCycling; fprintf(stderr,"max number %ld of pivots performed in Phase I. Switch to the anticycling phase.\n", maxpivots); goto _L99; /* failure due to max no. of pivots performed */ } ddf_SelectDualSimplexPivot(local_m_size,d_size,phase1,A,T,OV,nbindex_ref,nbindex,bflag, objrow,rhscol,lexicopivot,&r_val,&s_val,&chosen,&LPSphase1); if (!chosen) { /* The current dictionary is terminal. There are two cases: ddf_TableauEntry(local_m_size,d_size,A,T,objrow,ms) is negative or zero. The first case implies dual infeasible, and the latter implies dual feasible but local_m_size is still in nonbasis. We must pivot in the auxiliary variable local_m_size. */ ddf_TableauEntry(&x,local_m_size,d_size,A,T,objrow,ms); if (ddf_Negative(x)){ *err=ddf_NoError; *lps=ddf_DualInconsistent; *s=ms; } if (localdebug) { fprintf(stderr,"\nddf_FindDualFeasibleBasis: the auxiliary variable was forced to enter the basis (# pivots = %ld).\n",pivots_p1); fprintf(stderr," -- objrow %ld, ms %ld entry: ",objrow,ms); ddf_WriteNumber(stderr, x); fprintf(stderr,"\n"); if (ddf_Negative(x)){ fprintf(stderr,"->The basis is dual inconsistent. Terminate.\n"); } else { fprintf(stderr,"->The basis is feasible. Go to phase II.\n"); } } ddf_init(minval); r_val=0; for (i=1; i<=local_m_size; i++){ if (bflag[i]<0) { /* i is basic and not the objective variable */ ddf_TableauEntry(&val,local_m_size,d_size,A,T,i,ms); /* auxiliary column*/ if (ddf_Smaller(val, minval)) { r_val=i; ddf_set(minval,val); } } } ddf_clear(minval); if (r_val==0) { *err=ddf_NumericallyInconsistent; /* This should not happen. Quit the phase I.*/ if (localdebug) fprintf(stderr,"ddf_FindDualFeasibleBasis: Numerical Inconsistency detected (r_val is 0).\n"); goto _L99; } ddf_GaussianColumnPivot2(local_m_size,d_size,A,T,nbindex,bflag,r_val,ms); pivots_p1=pivots_p1+1; if (localdebug) { printf("\nddf_FindDualFeasibleBasis: make the %ld-th pivot on %ld %ld to force the auxiliary variable to enter the basis.\n",pivots_p1,r_val,ms); if (m_size <=100 && d_size <=30) ddf_WriteSignTableau2(stdout,m_size+1,d_size,A,T,nbindex_ref,nbindex,bflag); } stop=ddf_TRUE; } else { ddf_GaussianColumnPivot2(local_m_size,d_size,A,T,nbindex,bflag,r_val,s_val); pivots_p1=pivots_p1+1; if (localdebug) { printf("\nddf_FindDualFeasibleBasis: make a %ld-th pivot on %ld %ld\n",pivots_p1,r_val,s_val); if (m_size <=100 && d_size <=30) ddf_WriteSignTableau2(stdout,local_m_size,d_size,A,T,nbindex_ref,nbindex,bflag); } if (bflag[local_m_size]<0) { stop=ddf_TRUE; if (localdebug) fprintf(stderr,"\nDualSimplex Phase I: the auxiliary variable entered the basis (# pivots = %ld).\nGo to phase II\n",pivots_p1); } } } while(!stop); } _L99: *pivot_no=pivots_p1; ddf_statDS1pivots+=pivots_p1; ddf_clear(x); ddf_clear(val); ddf_clear(maxcost); ddf_clear(maxratio); ddf_clear(scaling); ddf_clear(svalue); ddf_clear(axvalue); } void ddf_DualSimplexMinimize(ddf_LPPtr lp,ddf_ErrorType *err) { ddf_colrange j; *err=ddf_NoError; for (j=1; j<=lp->d; j++) ddf_neg(lp->A[lp->objrow-1][j-1],lp->A[lp->objrow-1][j-1]); ddf_DualSimplexMaximize(lp,err); ddf_neg(lp->optvalue,lp->optvalue); for (j=1; j<=lp->d; j++){ if (lp->LPS!=ddf_Inconsistent) { /* Inconsistent certificate stays valid for minimization, 0.94e */ ddf_neg(lp->dsol[j-1],lp->dsol[j-1]); } ddf_neg(lp->A[lp->objrow-1][j-1],lp->A[lp->objrow-1][j-1]); } } void ddf_DualSimplexMaximize(ddf_LPPtr lp,ddf_ErrorType *err) /* When LP is inconsistent then lp->re returns the evidence row. When LP is dual-inconsistent then lp->se returns the evidence column. */ { int stop,chosen,phase1,found; long pivots_ds=0,pivots_p0=0,pivots_p1=0,pivots_pc=0,maxpivots,maxpivfactor=20; ddf_boolean localdebug=ddf_FALSE,localdebug1=ddf_FALSE; #if !defined ddf_GMPRATIONAL long maxccpivots,maxccpivfactor=100; /* criss-cross should not cycle, but with floating-point arithmetics, it happens (very rarely). Jorg Rambau reported such an LP, in August 2003. Thanks Jorg! */ #endif ddf_rowrange i,r; ddf_colrange j,s; static ddf_rowindex bflag; static long mlast=0,nlast=0; static ddf_rowindex OrderVector; /* the permutation vector to store a preordered row indeces */ static ddf_colindex nbindex_ref; /* to be used to store the initial feasible basis for lexico rule */ double redpercent=0,redpercent_prev=0,redgain=0; unsigned int rseed=1; /* *err=ddf_NoError; */ if (ddf_debug) localdebug=ddf_debug; set_emptyset(lp->redset_extra); for (i=0; i<= 4; i++) lp->pivots[i]=0; maxpivots=maxpivfactor*lp->d; /* maximum pivots to be performed before cc pivot is applied. */ #if !defined ddf_GMPRATIONAL maxccpivots=maxccpivfactor*lp->d; /* maximum pivots to be performed with emergency cc pivots. */ #endif if (mlast!=lp->m || nlast!=lp->d){ if (mlast>0) { /* called previously with different lp->m */ free(OrderVector); free(bflag); free(nbindex_ref); } OrderVector=(long *)calloc(lp->m+1,sizeof(*OrderVector)); bflag=(long *) calloc(lp->m+2,sizeof(*bflag)); /* one more element for an auxiliary variable */ nbindex_ref=(long*) calloc(lp->d+1,sizeof(long)); mlast=lp->m;nlast=lp->d; } /* Initializing control variables. */ ddf_ComputeRowOrderVector2(lp->m,lp->d,lp->A,OrderVector,ddf_MinIndex,rseed); lp->re=0; lp->se=0; ddf_ResetTableau(lp->m,lp->d,lp->B,lp->nbindex,bflag,lp->objrow,lp->rhscol); ddf_FindLPBasis(lp->m,lp->d,lp->A,lp->B,OrderVector,lp->equalityset,lp->nbindex,bflag, lp->objrow,lp->rhscol,&s,&found,&(lp->LPS),&pivots_p0); lp->pivots[0]=pivots_p0; if (!found){ lp->se=s; goto _L99; /* No LP basis is found, and thus Inconsistent. Output the evidence column. */ } ddf_FindDualFeasibleBasis(lp->m,lp->d,lp->A,lp->B,OrderVector,lp->nbindex,bflag, lp->objrow,lp->rhscol,lp->lexicopivot,&s, err,&(lp->LPS),&pivots_p1, maxpivots); lp->pivots[1]=pivots_p1; for (j=1; j<=lp->d; j++) nbindex_ref[j]=lp->nbindex[j]; /* set the reference basis to be the current feasible basis. */ if (localdebug){ fprintf(stderr, "ddf_DualSimplexMaximize: Store the current feasible basis:"); for (j=1; j<=lp->d; j++) fprintf(stderr, " %ld", nbindex_ref[j]); fprintf(stderr, "\n"); if (lp->m <=100 && lp->d <=30) ddf_WriteSignTableau2(stdout,lp->m+1,lp->d,lp->A,lp->B,nbindex_ref,lp->nbindex,bflag); } if (*err==ddf_LPCycling || *err==ddf_NumericallyInconsistent){ if (localdebug) fprintf(stderr, "Phase I failed and thus switch to the Criss-Cross method\n"); ddf_CrissCrossMaximize(lp,err); return; } if (lp->LPS==ddf_DualInconsistent){ lp->se=s; goto _L99; /* No dual feasible basis is found, and thus DualInconsistent. Output the evidence column. */ } /* Dual Simplex Method */ stop=ddf_FALSE; do { chosen=ddf_FALSE; lp->LPS=ddf_LPSundecided; phase1=ddf_FALSE; if (pivots_dsm,lp->d,phase1,lp->A,lp->B,OrderVector,nbindex_ref,lp->nbindex,bflag, lp->objrow,lp->rhscol,lp->lexicopivot,&r,&s,&chosen,&(lp->LPS)); } if (chosen) { pivots_ds=pivots_ds+1; if (lp->redcheck_extensive) { ddf_GetRedundancyInformation(lp->m,lp->d,lp->A,lp->B,lp->nbindex, bflag, lp->redset_extra); set_uni(lp->redset_accum, lp->redset_accum,lp->redset_extra); redpercent=100*(double)set_card(lp->redset_extra)/(double)lp->m; redgain=redpercent-redpercent_prev; redpercent_prev=redpercent; if (localdebug1){ fprintf(stderr,"\nddf_DualSimplexMaximize: Phase II pivot %ld on (%ld, %ld).\n",pivots_ds,r,s); fprintf(stderr," redundancy %f percent: redset size = %ld\n",redpercent,set_card(lp->redset_extra)); } } } if (!chosen && lp->LPS==ddf_LPSundecided) { if (localdebug1){ fprintf(stderr,"Warning: an emergency CC pivot in Phase II is performed\n"); /* In principle this should not be executed because we already have dual feasibility attained and dual simplex pivot should have been chosen. This might occur under floating point computation, or the case of cycling. */ if (localdebug && lp->m <=100 && lp->d <=30){ fprintf(stderr,"\nddf_DualSimplexMaximize: The current dictionary.\n"); ddf_WriteSignTableau2(stdout,lp->m,lp->d,lp->A,lp->B,nbindex_ref,lp->nbindex,bflag); } } #if !defined ddf_GMPRATIONAL if (pivots_pc>maxccpivots) { *err=ddf_LPCycling; stop=ddf_TRUE; goto _L99; } #endif ddf_SelectCrissCrossPivot(lp->m,lp->d,lp->A,lp->B,bflag, lp->objrow,lp->rhscol,&r,&s,&chosen,&(lp->LPS)); if (chosen) pivots_pc=pivots_pc+1; } if (chosen) { ddf_GaussianColumnPivot2(lp->m,lp->d,lp->A,lp->B,lp->nbindex,bflag,r,s); if (localdebug && lp->m <=100 && lp->d <=30){ fprintf(stderr,"\nddf_DualSimplexMaximize: The current dictionary.\n"); ddf_WriteSignTableau2(stdout,lp->m,lp->d,lp->A,lp->B,nbindex_ref,lp->nbindex,bflag); } } else { switch (lp->LPS){ case ddf_Inconsistent: lp->re=r; case ddf_DualInconsistent: lp->se=s; default: break; } stop=ddf_TRUE; } } while(!stop); _L99: lp->pivots[2]=pivots_ds; lp->pivots[3]=pivots_pc; ddf_statDS2pivots+=pivots_ds; ddf_statACpivots+=pivots_pc; ddf_SetSolutions(lp->m,lp->d,lp->A,lp->B,lp->objrow,lp->rhscol,lp->LPS,&(lp->optvalue),lp->sol,lp->dsol,lp->posset_extra,lp->nbindex,lp->re,lp->se,bflag); } void ddf_CrissCrossMinimize(ddf_LPPtr lp,ddf_ErrorType *err) { ddf_colrange j; *err=ddf_NoError; for (j=1; j<=lp->d; j++) ddf_neg(lp->A[lp->objrow-1][j-1],lp->A[lp->objrow-1][j-1]); ddf_CrissCrossMaximize(lp,err); ddf_neg(lp->optvalue,lp->optvalue); for (j=1; j<=lp->d; j++){ if (lp->LPS!=ddf_Inconsistent) { /* Inconsistent certificate stays valid for minimization, 0.94e */ ddf_neg(lp->dsol[j-1],lp->dsol[j-1]); } ddf_neg(lp->A[lp->objrow-1][j-1],lp->A[lp->objrow-1][j-1]); } } void ddf_CrissCrossMaximize(ddf_LPPtr lp,ddf_ErrorType *err) /* When LP is inconsistent then lp->re returns the evidence row. When LP is dual-inconsistent then lp->se returns the evidence column. */ { int stop,chosen,found; long pivots0,pivots1; #if !defined ddf_GMPRATIONAL long maxpivots,maxpivfactor=1000; /* criss-cross should not cycle, but with floating-point arithmetics, it happens (very rarely). Jorg Rambau reported such an LP, in August 2003. Thanks Jorg! */ #endif ddf_rowrange i,r; ddf_colrange s; static ddf_rowindex bflag; static long mlast=0; static ddf_rowindex OrderVector; /* the permutation vector to store a preordered row indeces */ unsigned int rseed=1; ddf_colindex nbtemp; *err=ddf_NoError; #if !defined ddf_GMPRATIONAL maxpivots=maxpivfactor*lp->d; /* maximum pivots to be performed when floating-point arithmetics is used. */ #endif nbtemp=(long *) calloc(lp->d+1,sizeof(long)); for (i=0; i<= 4; i++) lp->pivots[i]=0; if (bflag==NULL || mlast!=lp->m){ if (mlast!=lp->m && mlast>0) { free(bflag); /* called previously with different lp->m */ free(OrderVector); } bflag=(long *) calloc(lp->m+1,sizeof(long)); OrderVector=(long *)calloc(lp->m+1,sizeof(long)); /* initialize only for the first time or when a larger space is needed */ mlast=lp->m; } /* Initializing control variables. */ ddf_ComputeRowOrderVector2(lp->m,lp->d,lp->A,OrderVector,ddf_MinIndex,rseed); lp->re=0; lp->se=0; pivots1=0; ddf_ResetTableau(lp->m,lp->d,lp->B,lp->nbindex,bflag,lp->objrow,lp->rhscol); ddf_FindLPBasis(lp->m,lp->d,lp->A,lp->B,OrderVector,lp->equalityset, lp->nbindex,bflag,lp->objrow,lp->rhscol,&s,&found,&(lp->LPS),&pivots0); lp->pivots[0]+=pivots0; if (!found){ lp->se=s; goto _L99; /* No LP basis is found, and thus Inconsistent. Output the evidence column. */ } stop=ddf_FALSE; do { /* Criss-Cross Method */ #if !defined ddf_GMPRATIONAL if (pivots1>maxpivots) { *err=ddf_LPCycling; fprintf(stderr,"max number %ld of pivots performed by the criss-cross method. Most likely due to the floating-point arithmetics error.\n", maxpivots); goto _L99; /* failure due to max no. of pivots performed */ } #endif ddf_SelectCrissCrossPivot(lp->m,lp->d,lp->A,lp->B,bflag, lp->objrow,lp->rhscol,&r,&s,&chosen,&(lp->LPS)); if (chosen) { ddf_GaussianColumnPivot2(lp->m,lp->d,lp->A,lp->B,lp->nbindex,bflag,r,s); pivots1++; } else { switch (lp->LPS){ case ddf_Inconsistent: lp->re=r; case ddf_DualInconsistent: lp->se=s; default: break; } stop=ddf_TRUE; } } while(!stop); _L99: lp->pivots[1]+=pivots1; ddf_statCCpivots+=pivots1; ddf_SetSolutions(lp->m,lp->d,lp->A,lp->B, lp->objrow,lp->rhscol,lp->LPS,&(lp->optvalue),lp->sol,lp->dsol,lp->posset_extra,lp->nbindex,lp->re,lp->se,bflag); free(nbtemp); } void ddf_SetSolutions(ddf_rowrange m_size,ddf_colrange d_size, ddf_Amatrix A,ddf_Bmatrix T, ddf_rowrange objrow,ddf_colrange rhscol,ddf_LPStatusType LPS, myfloat *optvalue,ddf_Arow sol,ddf_Arow dsol,ddf_rowset posset, ddf_colindex nbindex, ddf_rowrange re,ddf_colrange se,ddf_rowindex bflag) /* Assign the solution vectors to sol,dsol,*optvalue after solving the LP. */ { ddf_rowrange i; ddf_colrange j; myfloat x,sw; int localdebug=ddf_FALSE; ddf_init(x); ddf_init(sw); if (localdebug) fprintf(stderr,"SetSolutions:\n"); switch (LPS){ case ddf_Optimal: for (j=1;j<=d_size; j++) { ddf_set(sol[j-1],T[j-1][rhscol-1]); ddf_TableauEntry(&x,m_size,d_size,A,T,objrow,j); ddf_neg(dsol[j-1],x); ddf_TableauEntry(optvalue,m_size,d_size,A,T,objrow,rhscol); if (localdebug) {fprintf(stderr,"dsol[%ld]= ",nbindex[j]); ddf_WriteNumber(stderr, dsol[j-1]); } } for (i=1; i<=m_size; i++) { if (bflag[i]==-1) { /* i is a basic variable */ ddf_TableauEntry(&x,m_size,d_size,A,T,i,rhscol); if (ddf_Positive(x)) set_addelem(posset, i); } } break; case ddf_Inconsistent: if (localdebug) fprintf(stderr,"SetSolutions: LP is inconsistent.\n"); for (j=1;j<=d_size; j++) { ddf_set(sol[j-1],T[j-1][rhscol-1]); ddf_TableauEntry(&x,m_size,d_size,A,T,re,j); ddf_neg(dsol[j-1],x); if (localdebug) {fprintf(stderr,"dsol[%ld]=",nbindex[j]); ddf_WriteNumber(stderr,dsol[j-1]); fprintf(stderr,"\n"); } } break; case ddf_DualInconsistent: if (localdebug) printf( "SetSolutions: LP is dual inconsistent.\n"); for (j=1;j<=d_size; j++) { ddf_set(sol[j-1],T[j-1][se-1]); ddf_TableauEntry(&x,m_size,d_size,A,T,objrow,j); ddf_neg(dsol[j-1],x); if (localdebug) {fprintf(stderr,"dsol[%ld]=",nbindex[j]); ddf_WriteNumber(stderr,dsol[j-1]); fprintf(stderr,"\n"); } } break; case ddf_StrucDualInconsistent: ddf_TableauEntry(&x,m_size,d_size,A,T,objrow,se); if (ddf_Positive(x)) ddf_set(sw,ddf_one); else ddf_neg(sw,ddf_one); for (j=1;j<=d_size; j++) { ddf_mul(sol[j-1],sw,T[j-1][se-1]); ddf_TableauEntry(&x,m_size,d_size,A,T,objrow,j); ddf_neg(dsol[j-1],x); if (localdebug) {fprintf(stderr,"dsol[%ld]= ",nbindex[j]);ddf_WriteNumber(stderr,dsol[j-1]);} } if (localdebug) fprintf(stderr,"SetSolutions: LP is dual inconsistent.\n"); break; default:break; } ddf_clear(x); ddf_clear(sw); } void ddf_RandomPermutation2(ddf_rowindex OV,long t,unsigned int seed) { long k,j,ovj; double u,xk,r,rand_max=(double) RAND_MAX; int localdebug=ddf_FALSE; srand(seed); for (j=t; j>1 ; j--) { r=rand(); u=r/rand_max; xk=(double)(j*u +1); k=(long)xk; if (localdebug) fprintf(stderr,"u=%g, k=%ld, r=%g, randmax= %g\n",u,k,r,rand_max); ovj=OV[j]; OV[j]=OV[k]; OV[k]=ovj; if (localdebug) fprintf(stderr,"row %ld is exchanged with %ld\n",j,k); } } void ddf_ComputeRowOrderVector2(ddf_rowrange m_size,ddf_colrange d_size,ddf_Amatrix A, ddf_rowindex OV,ddf_RowOrderType ho,unsigned int rseed) { long i,itemp; OV[0]=0; switch (ho){ case ddf_MaxIndex: for(i=1; i<=m_size; i++) OV[i]=m_size-i+1; break; case ddf_LexMin: for(i=1; i<=m_size; i++) OV[i]=i; ddf_QuickSort(OV,1,m_size,A,d_size); break; case ddf_LexMax: for(i=1; i<=m_size; i++) OV[i]=i; ddf_QuickSort(OV,1,m_size,A,d_size); for(i=1; i<=m_size/2;i++){ /* just reverse the order */ itemp=OV[i]; OV[i]=OV[m_size-i+1]; OV[m_size-i+1]=itemp; } break; case ddf_RandomRow: for(i=1; i<=m_size; i++) OV[i]=i; if (rseed<=0) rseed=1; ddf_RandomPermutation2(OV,m_size,rseed); break; case ddf_MinIndex: for(i=1; i<=m_size; i++) OV[i]=i; break; default: for(i=1; i<=m_size; i++) OV[i]=i; break; } } void ddf_SelectPreorderedNext2(ddf_rowrange m_size,ddf_colrange d_size, rowset excluded,ddf_rowindex OV,ddf_rowrange *hnext) { ddf_rowrange i,k; *hnext=0; for (i=1; i<=m_size && *hnext==0; i++){ k=OV[i]; if (!set_member(k,excluded)) *hnext=k ; } } #ifdef ddf_GMPRATIONAL ddf_LPObjectiveType Obj2Obj(ddf_LPObjectiveType obj) { ddf_LPObjectiveType objf=ddf_LPnone; switch (obj) { case ddf_LPnone: objf=ddf_LPnone; break; case ddf_LPmax: objf=ddf_LPmax; break; case ddf_LPmin: objf=ddf_LPmin; break; } return objf; } ddf_LPPtr ddf_LPgmp2LPf(ddf_LPPtr lp) { ddf_rowrange i; ddf_colrange j; ddf_LPType *lpf; double val; ddf_boolean localdebug=ddf_FALSE; if (localdebug) fprintf(stderr,"Converting a GMP-LP to a float-LP.\n"); lpf=ddf_CreateLPData(Obj2Obj(lp->objective), ddf_Real, lp->m, lp->d); lpf->Homogeneous = lp->Homogeneous; lpf->eqnumber=lp->eqnumber; /* this records the number of equations */ for (i = 1; i <= lp->m; i++) { if (set_member(i, lp->equalityset)) set_addelem(lpf->equalityset,i); /* it is equality. Its reversed row will not be in this set */ for (j = 1; j <= lp->d; j++) { val=mpq_get_d(lp->A[i-1][j-1]); ddf_set_d(lpf->A[i-1][j-1],val); } /*of j*/ } /*of i*/ return lpf; } #endif ddf_boolean ddf_LPSolve(ddf_LPPtr lp,ddf_LPSolverType solver,ddf_ErrorType *err) /* The current version of ddf_LPSolve that solves an LP with floating-arithmetics first and then with the specified arithimetics if it is GMP. When LP is inconsistent then *re returns the evidence row. When LP is dual-inconsistent then *se returns the evidence column. */ { int i; ddf_boolean found=ddf_FALSE; #ifdef ddf_GMPRATIONAL ddf_LPPtr lpf; ddf_ErrorType errf; ddf_boolean LPScorrect=ddf_FALSE; ddf_boolean localdebug=ddf_FALSE; if (ddf_debug) localdebug=ddf_debug; #endif *err=ddf_NoError; lp->solver=solver; time(&lp->starttime); #ifndef ddf_GMPRATIONAL switch (lp->solver) { case ddf_CrissCross: ddf_CrissCrossSolve(lp,err); break; case ddf_DualSimplex: ddf_DualSimplexSolve(lp,err); break; } #else lpf=ddf_LPgmp2LPf(lp); switch (lp->solver) { case ddf_CrissCross: ddf_CrissCrossSolve(lpf,&errf); /* First, run with double float. */ if (errf==ddf_NoError){ /* 094a: fix for a bug reported by Dima Pasechnik */ ddf_BasisStatus(lpf,lp, &LPScorrect); /* Check the basis. */ } else {LPScorrect=ddf_FALSE;} if (!LPScorrect) { if (localdebug) printf("BasisStatus: the current basis is NOT verified with GMP. Rerun with GMP.\n"); ddf_CrissCrossSolve(lp,err); /* Rerun with GMP if fails. */ } else { if (localdebug) printf("BasisStatus: the current basis is verified with GMP. The LP Solved.\n"); } break; case ddf_DualSimplex: ddf_DualSimplexSolve(lpf,&errf); /* First, run with double float. */ if (errf==ddf_NoError){ /* 094a: fix for a bug reported by Dima Pasechnik */ ddf_BasisStatus(lpf,lp, &LPScorrect); /* Check the basis. */ } else {LPScorrect=ddf_FALSE;} if (!LPScorrect){ if (localdebug) printf("BasisStatus: the current basis is NOT verified with GMP. Rerun with GMP.\n"); ddf_DualSimplexSolve(lp,err); /* Rerun with GMP if fails. */ if (localdebug){ printf("*total number pivots = %ld (ph0 = %ld, ph1 = %ld, ph2 = %ld, ph3 = %ld, ph4 = %ld)\n", lp->total_pivots,lp->pivots[0],lp->pivots[1],lp->pivots[2],lp->pivots[3],lp->pivots[4]); ddf_WriteLPResult(stdout, lpf, errf); ddf_WriteLP(stdout, lp); } } else { if (localdebug) printf("BasisStatus: the current basis is verified with GMP. The LP Solved.\n"); } break; } ddf_FreeLPData(lpf); #endif time(&lp->endtime); lp->total_pivots=0; for (i=0; i<=4; i++) lp->total_pivots+=lp->pivots[i]; if (*err==ddf_NoError) found=ddf_TRUE; return found; } ddf_boolean ddf_LPSolve0(ddf_LPPtr lp,ddf_LPSolverType solver,ddf_ErrorType *err) /* The original version of ddf_LPSolve that solves an LP with specified arithimetics. When LP is inconsistent then *re returns the evidence row. When LP is dual-inconsistent then *se returns the evidence column. */ { int i; ddf_boolean found=ddf_FALSE; *err=ddf_NoError; lp->solver=solver; time(&lp->starttime); switch (lp->solver) { case ddf_CrissCross: ddf_CrissCrossSolve(lp,err); break; case ddf_DualSimplex: ddf_DualSimplexSolve(lp,err); break; } time(&lp->endtime); lp->total_pivots=0; for (i=0; i<=4; i++) lp->total_pivots+=lp->pivots[i]; if (*err==ddf_NoError) found=ddf_TRUE; return found; } ddf_LPPtr ddf_MakeLPforInteriorFinding(ddf_LPPtr lp) /* Delete the objective row, add an extra column with -1's to the matrix A, add an extra row with (bceil, 0,...,0,-1), add an objective row with (0,...,0,1), and rows & columns, and change m_size and d_size accordingly, to output new_A. This sets up the LP: maximize x_{d+1} s.t. A x + x_{d+1} <= b x_{d+1} <= bm * bmax, where bm is set to 2 by default, and bmax=max{1, b[1],...,b[m_size]}. Note that the equalitions (linearity) in the input lp will be ignored. */ { ddf_rowrange m; ddf_colrange d; ddf_NumberType numbtype; ddf_LPObjectiveType obj; ddf_LPType *lpnew; ddf_rowrange i; ddf_colrange j; myfloat bm,bmax,bceil; int localdebug=ddf_FALSE; ddf_init(bm); ddf_init(bmax); ddf_init(bceil); ddf_add(bm,ddf_one,ddf_one); ddf_set(bmax,ddf_one); numbtype=lp->numbtype; m=lp->m+1; d=lp->d+1; obj=ddf_LPmax; lpnew=ddf_CreateLPData(obj, numbtype, m, d); for (i=1; i<=lp->m; i++) { if (ddf_Larger(lp->A[i-1][lp->rhscol-1],bmax)) ddf_set(bmax,lp->A[i-1][lp->rhscol-1]); } ddf_mul(bceil,bm,bmax); if (localdebug) {fprintf(stderr,"bceil is set to "); ddf_WriteNumber(stderr, bceil);} for (i=1; i <= lp->m; i++) { for (j=1; j <= lp->d; j++) { ddf_set(lpnew->A[i-1][j-1],lp->A[i-1][j-1]); } } for (i=1;i<=lp->m; i++){ ddf_neg(lpnew->A[i-1][lp->d],ddf_one); /* new column with all minus one's */ } for (j=1;j<=lp->d;j++){ ddf_set(lpnew->A[m-2][j-1],ddf_purezero); /* new row (bceil, 0,...,0,-1) */ } ddf_set(lpnew->A[m-2][0],bceil); /* new row (bceil, 0,...,0,-1) */ for (j=1;j<= d-1;j++) { ddf_set(lpnew->A[m-1][j-1],ddf_purezero); /* new obj row with (0,...,0,1) */ } ddf_set(lpnew->A[m-1][d-1],ddf_one); /* new obj row with (0,...,0,1) */ if (localdebug) ddf_WriteAmatrix(stderr, lp->A, lp->m, lp->d); if (localdebug) ddf_WriteAmatrix(stderr, lpnew->A, lpnew->m, lpnew->d); ddf_clear(bm); ddf_clear(bmax); ddf_clear(bceil); return lpnew; } void ddf_WriteLPResult(FILE *f,ddf_LPPtr lp,ddf_ErrorType err) { long j; fprintf(f,"* cdd LP solver result\n"); if (err!=ddf_NoError) { ddf_WriteErrorMessages(f,err); goto _L99; } ddf_WriteProgramDescription(f); fprintf(f,"* #constraints = %ld\n",lp->m-1); fprintf(f,"* #variables = %ld\n",lp->d-1); switch (lp->solver) { case ddf_DualSimplex: fprintf(f,"* Algorithm: dual simplex algorithm\n");break; case ddf_CrissCross: fprintf(f,"* Algorithm: criss-cross method\n");break; } switch (lp->objective) { case ddf_LPmax: fprintf(f,"* maximization is chosen\n");break; case ddf_LPmin: fprintf(f,"* minimization is chosen\n");break; case ddf_LPnone: fprintf(f,"* no objective type (max or min) is chosen\n");break; } if (lp->objective==ddf_LPmax||lp->objective==ddf_LPmin){ fprintf(f,"* Objective function is\n"); for (j=0; jd; j++){ if (j>0 && ddf_Nonnegative(lp->A[lp->objrow-1][j]) ) fprintf(f," +"); if (j>0 && (j % 5) == 0) fprintf(f,"\n"); ddf_WriteNumber(f,lp->A[lp->objrow-1][j]); if (j>0) fprintf(f," X[%3ld]",j); } fprintf(f,"\n"); } switch (lp->LPS){ case ddf_Optimal: fprintf(f,"* LP status: a dual pair (x,y) of optimal solutions found.\n"); fprintf(f,"begin\n"); fprintf(f," primal_solution\n"); for (j=1; jd; j++) { fprintf(f," %3ld : ",j); ddf_WriteNumber(f,lp->sol[j]); fprintf(f,"\n"); } fprintf(f," dual_solution\n"); for (j=1; jd; j++){ if (lp->nbindex[j+1]>0) { fprintf(f," %3ld : ",lp->nbindex[j+1]); ddf_WriteNumber(f,lp->dsol[j]); fprintf(f,"\n"); } } fprintf(f," optimal_value : "); ddf_WriteNumber(f,lp->optvalue); fprintf(f,"\nend\n"); break; case ddf_Inconsistent: fprintf(f,"* LP status: LP is inconsistent.\n"); fprintf(f,"* The positive combination of original inequalities with\n"); fprintf(f,"* the following coefficients will prove the inconsistency.\n"); fprintf(f,"begin\n"); fprintf(f," dual_direction\n"); fprintf(f," %3ld : ",lp->re); ddf_WriteNumber(f,ddf_one); fprintf(f,"\n"); for (j=1; jd; j++){ if (lp->nbindex[j+1]>0) { fprintf(f," %3ld : ",lp->nbindex[j+1]); ddf_WriteNumber(f,lp->dsol[j]); fprintf(f,"\n"); } } fprintf(f,"end\n"); break; case ddf_DualInconsistent: case ddf_StrucDualInconsistent: fprintf(f,"* LP status: LP is dual inconsistent.\n"); fprintf(f,"* The linear combination of columns with\n"); fprintf(f,"* the following coefficients will prove the dual inconsistency.\n"); fprintf(f,"* (It is also an unbounded direction for the primal LP.)\n"); fprintf(f,"begin\n"); fprintf(f," primal_direction\n"); for (j=1; jd; j++) { fprintf(f," %3ld : ",j); ddf_WriteNumber(f,lp->sol[j]); fprintf(f,"\n"); } fprintf(f,"end\n"); break; default: break; } fprintf(f,"* number of pivot operations = %ld (ph0 = %ld, ph1 = %ld, ph2 = %ld, ph3 = %ld, ph4 = %ld)\n",lp->total_pivots,lp->pivots[0],lp->pivots[1],lp->pivots[2],lp->pivots[3],lp->pivots[4]); ddf_WriteLPTimes(f, lp); _L99:; } ddf_LPPtr ddf_CreateLP_H_ImplicitLinearity(ddf_MatrixPtr M) { ddf_rowrange m, i, irev, linc; ddf_colrange d, j; ddf_LPPtr lp; ddf_boolean localdebug=ddf_FALSE; linc=set_card(M->linset); m=M->rowsize+1+linc+1; /* We represent each equation by two inequalities. This is not the best way but makes the code simple. */ d=M->colsize+1; lp=ddf_CreateLPData(M->objective, M->numbtype, m, d); lp->Homogeneous = ddf_TRUE; lp->objective = ddf_LPmax; lp->eqnumber=linc; /* this records the number of equations */ lp->redcheck_extensive=ddf_FALSE; /* this is default */ irev=M->rowsize; /* the first row of the linc reversed inequalities. */ for (i = 1; i <= M->rowsize; i++) { if (set_member(i, M->linset)) { irev=irev+1; set_addelem(lp->equalityset,i); /* it is equality. */ /* the reversed row irev is not in the equality set. */ for (j = 1; j <= M->colsize; j++) { ddf_neg(lp->A[irev-1][j-1],M->matrix[i-1][j-1]); } /*of j*/ } else { ddf_set(lp->A[i-1][d-1],ddf_minusone); /* b_I + A_I x - 1 z >= 0 (z=x_d) */ } for (j = 1; j <= M->colsize; j++) { ddf_set(lp->A[i-1][j-1],M->matrix[i-1][j-1]); if (j==1 && irowsize && ddf_Nonzero(M->matrix[i-1][j-1])) lp->Homogeneous = ddf_FALSE; } /*of j*/ } /*of i*/ ddf_set(lp->A[m-2][0],ddf_one); ddf_set(lp->A[m-2][d-1],ddf_minusone); /* make the LP bounded. */ ddf_set(lp->A[m-1][d-1],ddf_one); /* objective is to maximize z. */ if (localdebug) { fprintf(stderr,"ddf_CreateLP_H_ImplicitLinearity: an new lp is\n"); ddf_WriteLP(stderr,lp); } return lp; } ddf_LPPtr ddf_CreateLP_V_ImplicitLinearity(ddf_MatrixPtr M) { ddf_rowrange m, i, irev, linc; ddf_colrange d, j; ddf_LPPtr lp; ddf_boolean localdebug=ddf_FALSE; linc=set_card(M->linset); m=M->rowsize+1+linc+1; /* We represent each equation by two inequalities. This is not the best way but makes the code simple. */ d=(M->colsize)+2; /* Two more columns. This is different from the H-reprentation case */ /* The below must be modified for V-representation!!! */ lp=ddf_CreateLPData(M->objective, M->numbtype, m, d); lp->Homogeneous = ddf_FALSE; lp->objective = ddf_LPmax; lp->eqnumber=linc; /* this records the number of equations */ lp->redcheck_extensive=ddf_FALSE; /* this is default */ irev=M->rowsize; /* the first row of the linc reversed inequalities. */ for (i = 1; i <= M->rowsize; i++) { ddf_set(lp->A[i-1][0],ddf_purezero); /* It is almost completely degerate LP */ if (set_member(i, M->linset)) { irev=irev+1; set_addelem(lp->equalityset,i); /* it is equality. */ /* the reversed row irev is not in the equality set. */ for (j = 2; j <= (M->colsize)+1; j++) { ddf_neg(lp->A[irev-1][j-1],M->matrix[i-1][j-2]); } /*of j*/ if (localdebug) fprintf(stderr,"equality row %ld generates the reverse row %ld.\n",i,irev); } else { ddf_set(lp->A[i-1][d-1],ddf_minusone); /* b_I x_0 + A_I x - 1 z >= 0 (z=x_d) */ } for (j = 2; j <= (M->colsize)+1; j++) { ddf_set(lp->A[i-1][j-1],M->matrix[i-1][j-2]); } /*of j*/ } /*of i*/ ddf_set(lp->A[m-2][0],ddf_one); ddf_set(lp->A[m-2][d-1],ddf_minusone); /* make the LP bounded. */ ddf_set(lp->A[m-1][d-1],ddf_one); /* objective is to maximize z. */ if (localdebug) { fprintf(stderr,"ddf_CreateLP_V_ImplicitLinearity: an new lp is\n"); ddf_WriteLP(stderr,lp); } return lp; } ddf_LPPtr ddf_CreateLP_H_Redundancy(ddf_MatrixPtr M, ddf_rowrange itest) { ddf_rowrange m, i, irev, linc; ddf_colrange d, j; ddf_LPPtr lp; ddf_boolean localdebug=ddf_FALSE; linc=set_card(M->linset); m=M->rowsize+1+linc; /* We represent each equation by two inequalities. This is not the best way but makes the code simple. */ d=M->colsize; lp=ddf_CreateLPData(M->objective, M->numbtype, m, d); lp->Homogeneous = ddf_TRUE; lp->objective = ddf_LPmin; lp->eqnumber=linc; /* this records the number of equations */ lp->redcheck_extensive=ddf_FALSE; /* this is default */ irev=M->rowsize; /* the first row of the linc reversed inequalities. */ for (i = 1; i <= M->rowsize; i++) { if (set_member(i, M->linset)) { irev=irev+1; set_addelem(lp->equalityset,i); /* it is equality. */ /* the reversed row irev is not in the equality set. */ for (j = 1; j <= M->colsize; j++) { ddf_neg(lp->A[irev-1][j-1],M->matrix[i-1][j-1]); } /*of j*/ if (localdebug) fprintf(stderr,"equality row %ld generates the reverse row %ld.\n",i,irev); } for (j = 1; j <= M->colsize; j++) { ddf_set(lp->A[i-1][j-1],M->matrix[i-1][j-1]); if (j==1 && irowsize && ddf_Nonzero(M->matrix[i-1][j-1])) lp->Homogeneous = ddf_FALSE; } /*of j*/ } /*of i*/ for (j = 1; j <= M->colsize; j++) { ddf_set(lp->A[m-1][j-1],M->matrix[itest-1][j-1]); /* objective is to violate the inequality in question. */ } /*of j*/ ddf_add(lp->A[itest-1][0],lp->A[itest-1][0],ddf_one); /* relax the original inequality by one */ return lp; } ddf_LPPtr ddf_CreateLP_V_Redundancy(ddf_MatrixPtr M, ddf_rowrange itest) { ddf_rowrange m, i, irev, linc; ddf_colrange d, j; ddf_LPPtr lp; ddf_boolean localdebug=ddf_FALSE; linc=set_card(M->linset); m=M->rowsize+1+linc; /* We represent each equation by two inequalities. This is not the best way but makes the code simple. */ d=(M->colsize)+1; /* One more column. This is different from the H-reprentation case */ /* The below must be modified for V-representation!!! */ lp=ddf_CreateLPData(M->objective, M->numbtype, m, d); lp->Homogeneous = ddf_FALSE; lp->objective = ddf_LPmin; lp->eqnumber=linc; /* this records the number of equations */ lp->redcheck_extensive=ddf_FALSE; /* this is default */ irev=M->rowsize; /* the first row of the linc reversed inequalities. */ for (i = 1; i <= M->rowsize; i++) { if (i==itest){ ddf_set(lp->A[i-1][0],ddf_one); /* this is to make the LP bounded, ie. the min >= -1 */ } else { ddf_set(lp->A[i-1][0],ddf_purezero); /* It is almost completely degerate LP */ } if (set_member(i, M->linset)) { irev=irev+1; set_addelem(lp->equalityset,i); /* it is equality. */ /* the reversed row irev is not in the equality set. */ for (j = 2; j <= (M->colsize)+1; j++) { ddf_neg(lp->A[irev-1][j-1],M->matrix[i-1][j-2]); } /*of j*/ if (localdebug) fprintf(stderr,"equality row %ld generates the reverse row %ld.\n",i,irev); } for (j = 2; j <= (M->colsize)+1; j++) { ddf_set(lp->A[i-1][j-1],M->matrix[i-1][j-2]); } /*of j*/ } /*of i*/ for (j = 2; j <= (M->colsize)+1; j++) { ddf_set(lp->A[m-1][j-1],M->matrix[itest-1][j-2]); /* objective is to violate the inequality in question. */ } /*of j*/ ddf_set(lp->A[m-1][0],ddf_purezero); /* the constant term for the objective is zero */ if (localdebug) ddf_WriteLP(stdout, lp); return lp; } ddf_LPPtr ddf_CreateLP_V_SRedundancy(ddf_MatrixPtr M, ddf_rowrange itest) { /* V-representation (=boundary problem) g* = maximize 1^T b_{I-itest} x_0 + 1^T A_{I-itest} (the sum of slacks) subject to b_itest x_0 + A_itest x = 0 (the point has to lie on the boundary) b_{I-itest} x_0 + A_{I-itest} x >= 0 (all nonlinearity generators in one side) 1^T b_{I-itest} x_0 + 1^T A_{I-itest} x <= 1 (to make an LP bounded) b_L x_0 + A_L x = 0. (linearity generators) The redundant row is strongly redundant if and only if g* is zero. */ ddf_rowrange m, i, irev, linc; ddf_colrange d, j; ddf_LPPtr lp; ddf_boolean localdebug=ddf_FALSE; linc=set_card(M->linset); m=M->rowsize+1+linc+2; /* We represent each equation by two inequalities. This is not the best way but makes the code simple. Two extra constraints are for the first equation and the bouding inequality. */ d=(M->colsize)+1; /* One more column. This is different from the H-reprentation case */ /* The below must be modified for V-representation!!! */ lp=ddf_CreateLPData(M->objective, M->numbtype, m, d); lp->Homogeneous = ddf_FALSE; lp->objective = ddf_LPmax; lp->eqnumber=linc; /* this records the number of equations */ irev=M->rowsize; /* the first row of the linc reversed inequalities. */ for (i = 1; i <= M->rowsize; i++) { if (i==itest){ ddf_set(lp->A[i-1][0],ddf_purezero); /* this is a half of the boundary constraint. */ } else { ddf_set(lp->A[i-1][0],ddf_purezero); /* It is almost completely degerate LP */ } if (set_member(i, M->linset) || i==itest) { irev=irev+1; set_addelem(lp->equalityset,i); /* it is equality. */ /* the reversed row irev is not in the equality set. */ for (j = 2; j <= (M->colsize)+1; j++) { ddf_neg(lp->A[irev-1][j-1],M->matrix[i-1][j-2]); } /*of j*/ if (localdebug) fprintf(stderr,"equality row %ld generates the reverse row %ld.\n",i,irev); } for (j = 2; j <= (M->colsize)+1; j++) { ddf_set(lp->A[i-1][j-1],M->matrix[i-1][j-2]); ddf_add(lp->A[m-1][j-1],lp->A[m-1][j-1],lp->A[i-1][j-1]); /* the objective is the sum of all ineqalities */ } /*of j*/ } /*of i*/ for (j = 2; j <= (M->colsize)+1; j++) { ddf_neg(lp->A[m-2][j-1],lp->A[m-1][j-1]); /* to make an LP bounded. */ } /*of j*/ ddf_set(lp->A[m-2][0],ddf_one); /* the constant term for the bounding constraint is 1 */ if (localdebug) ddf_WriteLP(stdout, lp); return lp; } ddf_boolean ddf_Redundant(ddf_MatrixPtr M, ddf_rowrange itest, ddf_Arow certificate, ddf_ErrorType *error) /* 092 */ { /* Checks whether the row itest is redundant for the representation. All linearity rows are not checked and considered NONredundant. This code works for both H- and V-representations. A certificate is given in the case of non-redundancy, showing a solution x violating only the itest inequality for H-representation, a hyperplane RHS and normal (x_0, x) that separates the itest from the rest. More explicitly, the LP to be setup is H-representation f* = minimize b_itest + A_itest x subject to b_itest + 1 + A_itest x >= 0 (relaxed inequality to make an LP bounded) b_{I-itest} + A_{I-itest} x >= 0 (all inequalities except for itest) b_L + A_L x = 0. (linearity) V-representation (=separation problem) f* = minimize b_itest x_0 + A_itest x subject to b_itest x_0 + A_itest x >= -1 (to make an LP bounded) b_{I-itest} x_0 + A_{I-itest} x >= 0 (all nonlinearity generators except for itest in one side) b_L x_0 + A_L x = 0. (linearity generators) Here, the input matrix is considered as (b, A), i.e. b corresponds to the first column of input and the row indices of input is partitioned into I and L where L is the set of linearity. In both cases, the itest data is nonredundant if and only if the optimal value f* is negative. The certificate has dimension one more for V-representation case. */ ddf_colrange j; ddf_LPPtr lp; ddf_LPSolutionPtr lps; ddf_ErrorType err=ddf_NoError; ddf_boolean answer=ddf_FALSE,localdebug=ddf_FALSE; *error=ddf_NoError; if (set_member(itest, M->linset)){ if (localdebug) printf("The %ld th row is linearity and redundancy checking is skipped.\n",itest); goto _L99; } /* Create an LP data for redundancy checking */ if (M->representation==ddf_Generator){ lp=ddf_CreateLP_V_Redundancy(M, itest); } else { lp=ddf_CreateLP_H_Redundancy(M, itest); } ddf_LPSolve(lp,ddf_choiceRedcheckAlgorithm,&err); if (err!=ddf_NoError){ *error=err; goto _L999; } else { lps=ddf_CopyLPSolution(lp); for (j=0; jd; j++) { ddf_set(certificate[j], lps->sol[j]); } if (ddf_Negative(lps->optvalue)){ answer=ddf_FALSE; if (localdebug) fprintf(stderr,"==> %ld th row is nonredundant.\n",itest); } else { answer=ddf_TRUE; if (localdebug) fprintf(stderr,"==> %ld th row is redundant.\n",itest); } ddf_FreeLPSolution(lps); } _L999: ddf_FreeLPData(lp); _L99: return answer; } ddf_boolean ddf_RedundantExtensive(ddf_MatrixPtr M, ddf_rowrange itest, ddf_Arow certificate, ddf_rowset *redset,ddf_ErrorType *error) /* 094 */ { /* This uses the same LP construction as ddf_Reduandant. But, while it is checking the redundancy of itest, it also tries to find some other variable that are redundant (i.e. forced to be nonnegative). This is expensive as it used the complete tableau information at each DualSimplex pivot. The redset must be initialized before this function is called. */ ddf_colrange j; ddf_LPPtr lp; ddf_LPSolutionPtr lps; ddf_ErrorType err=ddf_NoError; ddf_boolean answer=ddf_FALSE,localdebug=ddf_FALSE; *error=ddf_NoError; if (set_member(itest, M->linset)){ if (localdebug) printf("The %ld th row is linearity and redundancy checking is skipped.\n",itest); goto _L99; } /* Create an LP data for redundancy checking */ if (M->representation==ddf_Generator){ lp=ddf_CreateLP_V_Redundancy(M, itest); } else { lp=ddf_CreateLP_H_Redundancy(M, itest); } lp->redcheck_extensive=ddf_TRUE; ddf_LPSolve0(lp,ddf_DualSimplex,&err); if (err!=ddf_NoError){ *error=err; goto _L999; } else { set_copy(*redset,lp->redset_extra); set_delelem(*redset, itest); /* itest row might be redundant in the lp but this has nothing to do with its redundancy in the original system M. Thus we must delete it. */ if (localdebug){ fprintf(stderr, "ddf_RedundantExtensive: checking for %ld, extra redset with cardinality %ld (%ld)\n",itest,set_card(*redset),set_card(lp->redset_extra)); set_fwrite(stderr, *redset); fprintf(stderr, "\n"); } lps=ddf_CopyLPSolution(lp); for (j=0; jd; j++) { ddf_set(certificate[j], lps->sol[j]); } if (ddf_Negative(lps->optvalue)){ answer=ddf_FALSE; if (localdebug) fprintf(stderr,"==> %ld th row is nonredundant.\n",itest); } else { answer=ddf_TRUE; if (localdebug) fprintf(stderr,"==> %ld th row is redundant.\n",itest); } ddf_FreeLPSolution(lps); } _L999: ddf_FreeLPData(lp); _L99: return answer; } ddf_rowset ddf_RedundantRows(ddf_MatrixPtr M, ddf_ErrorType *error) /* 092 */ { ddf_rowrange i,m; ddf_colrange d; ddf_rowset redset; ddf_MatrixPtr Mcopy; ddf_Arow cvec; /* certificate */ ddf_boolean localdebug=ddf_FALSE; m=M->rowsize; if (M->representation==ddf_Generator){ d=(M->colsize)+1; } else { d=M->colsize; } Mcopy=ddf_MatrixCopy(M); ddf_InitializeArow(d,&cvec); set_initialize(&redset, m); for (i=m; i>=1; i--) { if (ddf_Redundant(Mcopy, i, cvec, error)) { if (localdebug) printf("ddf_RedundantRows: the row %ld is redundant.\n", i); set_addelem(redset, i); ddf_MatrixRowRemove(&Mcopy, i); } else { if (localdebug) printf("ddf_RedundantRows: the row %ld is essential.\n", i); } if (*error!=ddf_NoError) goto _L99; } _L99: ddf_FreeMatrix(Mcopy); ddf_FreeArow(d, cvec); return redset; } ddf_boolean ddf_MatrixRedundancyRemove(ddf_MatrixPtr *M, ddf_rowset *redset,ddf_rowindex *newpos, ddf_ErrorType *error) /* 094 */ { /* It returns the set of all redundant rows. This should be called after all implicit linearity are recognized with ddf_MatrixCanonicalizeLinearity. */ ddf_rowrange i,k,m,m1; ddf_colrange d; ddf_rowset redset1; ddf_rowindex newpos1; ddf_MatrixPtr M1=NULL; ddf_Arow cvec; /* certificate */ ddf_boolean success=ddf_FALSE, localdebug=ddf_FALSE; m=(*M)->rowsize; set_initialize(redset, m); M1=ddf_MatrixSortedUniqueCopy(*M,newpos); for (i=1; i<=m; i++){ if ((*newpos)[i]<=0) set_addelem(*redset,i); if (localdebug) printf(" %ld:%ld",i,(*newpos)[i]); } if (localdebug) printf("\n"); if ((*M)->representation==ddf_Generator){ d=((*M)->colsize)+1; } else { d=(*M)->colsize; } m1=M1->rowsize; if (localdebug){ fprintf(stderr,"ddf_MatrixRedundancyRemove: By sorting, %ld rows have been removed. The remaining has %ld rows.\n",m-m1,m1); /* ddf_WriteMatrix(stdout,M1); */ } ddf_InitializeArow(d,&cvec); set_initialize(&redset1, M1->rowsize); k=1; do { if (ddf_RedundantExtensive(M1, k, cvec, &redset1,error)) { set_addelem(redset1, k); ddf_MatrixRowsRemove2(&M1,redset1,&newpos1); for (i=1; i<=m; i++){ if ((*newpos)[i]>0){ if (set_member((*newpos)[i],redset1)){ set_addelem(*redset,i); (*newpos)[i]=0; /* now the original row i is recognized redundant and removed from M1 */ } else { (*newpos)[i]=newpos1[(*newpos)[i]]; /* update the new pos vector */ } } } set_free(redset1); set_initialize(&redset1, M1->rowsize); if (localdebug) { printf("ddf_MatrixRedundancyRemove: the row %ld is redundant. The new matrix has %ld rows.\n", k, M1->rowsize); /* ddf_WriteMatrix(stderr, M1); */ } free(newpos1); } else { if (set_card(redset1)>0) { ddf_MatrixRowsRemove2(&M1,redset1,&newpos1); for (i=1; i<=m; i++){ if ((*newpos)[i]>0){ if (set_member((*newpos)[i],redset1)){ set_addelem(*redset,i); (*newpos)[i]=0; /* now the original row i is recognized redundant and removed from M1 */ } else { (*newpos)[i]=newpos1[(*newpos)[i]]; /* update the new pos vector */ } } } set_free(redset1); set_initialize(&redset1, M1->rowsize); free(newpos1); } if (localdebug) { printf("ddf_MatrixRedundancyRemove: the row %ld is essential. The new matrix has %ld rows.\n", k, M1->rowsize); /* ddf_WriteMatrix(stderr, M1); */ } k=k+1; } if (*error!=ddf_NoError) goto _L99; } while (k<=M1->rowsize); if (localdebug) ddf_WriteMatrix(stderr, M1); success=ddf_TRUE; _L99: ddf_FreeMatrix(*M); *M=M1; ddf_FreeArow(d, cvec); set_free(redset1); return success; } ddf_boolean ddf_SRedundant(ddf_MatrixPtr M, ddf_rowrange itest, ddf_Arow certificate, ddf_ErrorType *error) /* 093a */ { /* Checks whether the row itest is strongly redundant for the representation. A row is strongly redundant in H-representation if every point in the polyhedron satisfies it with strict inequality. A row is strongly redundant in V-representation if this point is in the interior of the polyhedron. All linearity rows are not checked and considered NOT strongly redundant. This code works for both H- and V-representations. A certificate is given in the case of non-redundancy, showing a solution x violating only the itest inequality for H-representation, a hyperplane RHS and normal (x_0, x) that separates the itest from the rest. More explicitly, the LP to be setup is H-representation f* = minimize b_itest + A_itest x subject to b_itest + 1 + A_itest x >= 0 (relaxed inequality to make an LP bounded) b_{I-itest} + A_{I-itest} x >= 0 (all inequalities except for itest) b_L + A_L x = 0. (linearity) V-representation (=separation problem) f* = minimize b_itest x_0 + A_itest x subject to b_itest x_0 + A_itest x >= -1 (to make an LP bounded) b_{I-itest} x_0 + A_{I-itest} x >= 0 (all nonlinearity generators except for itest in one side) b_L x_0 + A_L x = 0. (linearity generators) Here, the input matrix is considered as (b, A), i.e. b corresponds to the first column of input and the row indices of input is partitioned into I and L where L is the set of linearity. In H-representation, the itest data is strongly redundant if and only if the optimal value f* is positive. In V-representation, the itest data is redundant if and only if the optimal value f* is zero (as the LP is homogeneous and the optimal value is always non-positive). To recognize strong redundancy, one can set up a second LP V-representation (=boundary problem) g* = maximize 1^T b_{I-itest} x_0 + 1^T A_{I-itest} (the sum of slacks) subject to b_itest x_0 + A_itest x = 0 (the point has to lie on the boundary) b_{I-itest} x_0 + A_{I-itest} x >= 0 (all nonlinearity generators in one side) 1^T b_{I-itest} x_0 + 1^T A_{I-itest} x <= 1 (to make an LP bounded) b_L x_0 + A_L x = 0. (linearity generators) The redundant row is strongly redundant if and only if g* is zero. The certificate has dimension one more for V-representation case. */ ddf_colrange j; ddf_LPPtr lp; ddf_LPSolutionPtr lps; ddf_ErrorType err=ddf_NoError; ddf_boolean answer=ddf_FALSE,localdebug=ddf_FALSE; *error=ddf_NoError; if (set_member(itest, M->linset)){ if (localdebug) printf("The %ld th row is linearity and strong redundancy checking is skipped.\n",itest); goto _L99; } /* Create an LP data for redundancy checking */ if (M->representation==ddf_Generator){ lp=ddf_CreateLP_V_Redundancy(M, itest); } else { lp=ddf_CreateLP_H_Redundancy(M, itest); } ddf_LPSolve(lp,ddf_choiceRedcheckAlgorithm,&err); if (err!=ddf_NoError){ *error=err; goto _L999; } else { lps=ddf_CopyLPSolution(lp); for (j=0; jd; j++) { ddf_set(certificate[j], lps->sol[j]); } if (localdebug){ printf("Optimum value:"); ddf_WriteNumber(stdout, lps->optvalue); printf("\n"); } if (M->representation==ddf_Inequality){ if (ddf_Positive(lps->optvalue)){ answer=ddf_TRUE; if (localdebug) fprintf(stderr,"==> %ld th inequality is strongly redundant.\n",itest); } else { answer=ddf_FALSE; if (localdebug) fprintf(stderr,"==> %ld th inequality is not strongly redundant.\n",itest); } } else { if (ddf_Negative(lps->optvalue)){ answer=ddf_FALSE; if (localdebug) fprintf(stderr,"==> %ld th point is not strongly redundant.\n",itest); } else { /* for V-representation, we have to solve another LP */ ddf_FreeLPData(lp); ddf_FreeLPSolution(lps); lp=ddf_CreateLP_V_SRedundancy(M, itest); ddf_LPSolve(lp,ddf_DualSimplex,&err); lps=ddf_CopyLPSolution(lp); if (localdebug) ddf_WriteLPResult(stdout,lp,err); if (ddf_Positive(lps->optvalue)){ answer=ddf_FALSE; if (localdebug) fprintf(stderr,"==> %ld th point is not strongly redundant.\n",itest); } else { answer=ddf_TRUE; if (localdebug) fprintf(stderr,"==> %ld th point is strongly redundant.\n",itest); } } } ddf_FreeLPSolution(lps); } _L999: ddf_FreeLPData(lp); _L99: return answer; } ddf_rowset ddf_SRedundantRows(ddf_MatrixPtr M, ddf_ErrorType *error) /* 093a */ { ddf_rowrange i,m; ddf_colrange d; ddf_rowset redset; ddf_MatrixPtr Mcopy; ddf_Arow cvec; /* certificate */ ddf_boolean localdebug=ddf_FALSE; m=M->rowsize; if (M->representation==ddf_Generator){ d=(M->colsize)+1; } else { d=M->colsize; } Mcopy=ddf_MatrixCopy(M); ddf_InitializeArow(d,&cvec); set_initialize(&redset, m); for (i=m; i>=1; i--) { if (ddf_SRedundant(Mcopy, i, cvec, error)) { if (localdebug) printf("ddf_SRedundantRows: the row %ld is strongly redundant.\n", i); set_addelem(redset, i); ddf_MatrixRowRemove(&Mcopy, i); } else { if (localdebug) printf("ddf_SRedundantRows: the row %ld is not strongly redundant.\n", i); } if (*error!=ddf_NoError) goto _L99; } _L99: ddf_FreeMatrix(Mcopy); ddf_FreeArow(d, cvec); return redset; } ddf_rowset ddf_RedundantRowsViaShooting(ddf_MatrixPtr M, ddf_ErrorType *error) /* 092 */ { /* For H-representation only and not quite reliable, especially when floating-point arithmetic is used. Use the ordinary (slower) method ddf_RedundantRows. */ ddf_rowrange i,m, ired, irow=0; ddf_colrange j,k,d; ddf_rowset redset; ddf_rowindex rowflag; /* ith comp is negative if the ith inequality (i-1 st row) is redundant. zero if it is not decided. k > 0 if it is nonredundant and assigned to the (k-1)th row of M1. */ ddf_MatrixPtr M1; ddf_Arow shootdir, cvec=NULL; ddf_LPPtr lp0, lp; ddf_LPSolutionPtr lps; ddf_ErrorType err; ddf_LPSolverType solver=ddf_DualSimplex; ddf_boolean localdebug=ddf_FALSE; m=M->rowsize; d=M->colsize; M1=ddf_CreateMatrix(m,d); M1->rowsize=0; /* cheat the rowsize so that smaller matrix can be stored */ set_initialize(&redset, m); ddf_InitializeArow(d, &shootdir); ddf_InitializeArow(d, &cvec); rowflag=(long *)calloc(m+1, sizeof(long)); /* First find some (likely) nonredundant inequalities by Interior Point Find. */ lp0=ddf_Matrix2LP(M, &err); lp=ddf_MakeLPforInteriorFinding(lp0); ddf_FreeLPData(lp0); ddf_LPSolve(lp, solver, &err); /* Solve the LP */ lps=ddf_CopyLPSolution(lp); if (ddf_Positive(lps->optvalue)){ /* An interior point is found. Use rayshooting to find some nonredundant inequalities. */ for (j=1; jsol, shootdir); if (localdebug) printf("nonredundant row %3ld found by shooting.\n", ired); if (ired>0 && rowflag[ired]<=0) { irow++; rowflag[ired]=irow; for (k=1; k<=d; k++) ddf_set(M1->matrix[irow-1][k-1], M->matrix[ired-1][k-1]); } ddf_neg(shootdir[j], ddf_one); /* negative of the j-th unit vector */ ired=ddf_RayShooting(M, lps->sol, shootdir); if (localdebug) printf("nonredundant row %3ld found by shooting.\n", ired); if (ired>0 && rowflag[ired]<=0) { irow++; rowflag[ired]=irow; for (k=1; k<=d; k++) ddf_set(M1->matrix[irow-1][k-1], M->matrix[ired-1][k-1]); } } M1->rowsize=irow; if (localdebug) { printf("The initial nonredundant set is:"); for (i=1; i<=m; i++) if (rowflag[i]>0) printf(" %ld", i); printf("\n"); } i=1; while(i<=m){ if (rowflag[i]==0){ /* the ith inequality is not yet checked */ if (localdebug) fprintf(stderr, "Checking redundancy of %ld th inequality\n", i); irow++; M1->rowsize=irow; for (k=1; k<=d; k++) ddf_set(M1->matrix[irow-1][k-1], M->matrix[i-1][k-1]); if (!ddf_Redundant(M1, irow, cvec, &err)){ for (k=1; k<=d; k++) ddf_sub(shootdir[k-1], cvec[k-1], lps->sol[k-1]); ired=ddf_RayShooting(M, lps->sol, shootdir); rowflag[ired]=irow; for (k=1; k<=d; k++) ddf_set(M1->matrix[irow-1][k-1], M->matrix[ired-1][k-1]); if (localdebug) { fprintf(stderr, "The %ld th inequality is nonredundant for the subsystem\n", i); fprintf(stderr, "The nonredundancy of %ld th inequality is found by shooting.\n", ired); } } else { if (localdebug) fprintf(stderr, "The %ld th inequality is redundant for the subsystem and thus for the whole.\n", i); rowflag[i]=-1; set_addelem(redset, i); i++; } } else { i++; } } /* endwhile */ } else { /* No interior point is found. Apply the standard LP technique. */ redset=ddf_RedundantRows(M, error); } ddf_FreeLPData(lp); ddf_FreeLPSolution(lps); M1->rowsize=m; M1->colsize=d; /* recover the original sizes */ ddf_FreeMatrix(M1); ddf_FreeArow(d, shootdir); ddf_FreeArow(d, cvec); free(rowflag); return redset; } ddf_SetFamilyPtr ddf_Matrix2Adjacency(ddf_MatrixPtr M, ddf_ErrorType *error) /* 093 */ { /* This is to generate the (facet) graph of a polyheron (H) V-represented by M using LPs. Since it does not use the representation conversion, it should work for a large scale problem. */ ddf_rowrange i,m; ddf_colrange d; ddf_rowset redset; ddf_MatrixPtr Mcopy; ddf_SetFamilyPtr F=NULL; m=M->rowsize; d=M->colsize; if (m<=0 ||d<=0) { *error=ddf_EmptyRepresentation; goto _L999; } Mcopy=ddf_MatrixCopy(M); F=ddf_CreateSetFamily(m, m); for (i=1; i<=m; i++) { if (!set_member(i, M->linset)){ set_addelem(Mcopy->linset, i); redset=ddf_RedundantRows(Mcopy, error); /* redset should contain all nonadjacent ones */ set_uni(redset, redset, Mcopy->linset); /* all linearity elements should be nonadjacent */ set_compl(F->set[i-1], redset); /* set the adjacency list of vertex i */ set_delelem(Mcopy->linset, i); set_free(redset); if (*error!=ddf_NoError) goto _L99; } } _L99: ddf_FreeMatrix(Mcopy); _L999: return F; } ddf_SetFamilyPtr ddf_Matrix2WeakAdjacency(ddf_MatrixPtr M, ddf_ErrorType *error) /* 093a */ { /* This is to generate the weak-adjacency (facet) graph of a polyheron (H) V-represented by M using LPs. Since it does not use the representation conversion, it should work for a large scale problem. */ ddf_rowrange i,m; ddf_colrange d; ddf_rowset redset; ddf_MatrixPtr Mcopy; ddf_SetFamilyPtr F=NULL; m=M->rowsize; d=M->colsize; if (m<=0 ||d<=0) { *error=ddf_EmptyRepresentation; goto _L999; } Mcopy=ddf_MatrixCopy(M); F=ddf_CreateSetFamily(m, m); for (i=1; i<=m; i++) { if (!set_member(i, M->linset)){ set_addelem(Mcopy->linset, i); redset=ddf_SRedundantRows(Mcopy, error); /* redset should contain all weakly nonadjacent ones */ set_uni(redset, redset, Mcopy->linset); /* all linearity elements should be nonadjacent */ set_compl(F->set[i-1], redset); /* set the adjacency list of vertex i */ set_delelem(Mcopy->linset, i); set_free(redset); if (*error!=ddf_NoError) goto _L99; } } _L99: ddf_FreeMatrix(Mcopy); _L999: return F; } ddf_boolean ddf_ImplicitLinearity(ddf_MatrixPtr M, ddf_rowrange itest, ddf_Arow certificate, ddf_ErrorType *error) /* 092 */ { /* Checks whether the row itest is implicit linearity for the representation. All linearity rows are not checked and considered non implicit linearity (ddf_FALSE). This code works for both H- and V-representations. A certificate is given in the case of ddf_FALSE, showing a feasible solution x satisfying the itest strict inequality for H-representation, a hyperplane RHS and normal (x_0, x) that separates the itest from the rest. More explicitly, the LP to be setup is the same thing as redundancy case but with maximization: H-representation f* = maximize b_itest + A_itest x subject to b_itest + 1 + A_itest x >= 0 (relaxed inequality. This is not necessary but kept for simplicity of the code) b_{I-itest} + A_{I-itest} x >= 0 (all inequalities except for itest) b_L + A_L x = 0. (linearity) V-representation (=separation problem) f* = maximize b_itest x_0 + A_itest x subject to b_itest x_0 + A_itest x >= -1 (again, this is not necessary but kept for simplicity.) b_{I-itest} x_0 + A_{I-itest} x >= 0 (all nonlinearity generators except for itest in one side) b_L x_0 + A_L x = 0. (linearity generators) Here, the input matrix is considered as (b, A), i.e. b corresponds to the first column of input and the row indices of input is partitioned into I and L where L is the set of linearity. In both cases, the itest data is implicit linearity if and only if the optimal value f* is nonpositive. The certificate has dimension one more for V-representation case. */ ddf_colrange j; ddf_LPPtr lp; ddf_LPSolutionPtr lps; ddf_ErrorType err=ddf_NoError; ddf_boolean answer=ddf_FALSE,localdebug=ddf_FALSE; *error=ddf_NoError; if (set_member(itest, M->linset)){ if (localdebug) printf("The %ld th row is linearity and redundancy checking is skipped.\n",itest); goto _L99; } /* Create an LP data for redundancy checking */ if (M->representation==ddf_Generator){ lp=ddf_CreateLP_V_Redundancy(M, itest); } else { lp=ddf_CreateLP_H_Redundancy(M, itest); } lp->objective = ddf_LPmax; /* the lp->objective is set by CreateLP* to LPmin */ ddf_LPSolve(lp,ddf_choiceRedcheckAlgorithm,&err); if (err!=ddf_NoError){ *error=err; goto _L999; } else { lps=ddf_CopyLPSolution(lp); for (j=0; jd; j++) { ddf_set(certificate[j], lps->sol[j]); } if (lps->LPS==ddf_Optimal && ddf_EqualToZero(lps->optvalue)){ answer=ddf_TRUE; if (localdebug) fprintf(stderr,"==> %ld th data is an implicit linearity.\n",itest); } else { answer=ddf_FALSE; if (localdebug) fprintf(stderr,"==> %ld th data is not an implicit linearity.\n",itest); } ddf_FreeLPSolution(lps); } _L999: ddf_FreeLPData(lp); _L99: return answer; } int ddf_FreeOfImplicitLinearity(ddf_MatrixPtr M, ddf_Arow certificate, ddf_rowset *imp_linrows, ddf_ErrorType *error) /* 092 */ { /* Checks whether the matrix M constains any implicit linearity at all. It returns 1 if it is free of any implicit linearity. This means that the present linearity rows define the linearity correctly. It returns nonpositive values otherwise. H-representation f* = maximize z subject to b_I + A_I x - 1 z >= 0 b_L + A_L x = 0 (linearity) z <= 1. V-representation (=separation problem) f* = maximize z subject to b_I x_0 + A_I x - 1 z >= 0 (all nonlinearity generators in one side) b_L x_0 + A_L x = 0 (linearity generators) z <= 1. Here, the input matrix is considered as (b, A), i.e. b corresponds to the first column of input and the row indices of input is partitioned into I and L where L is the set of linearity. In both cases, any implicit linearity exists if and only if the optimal value f* is nonpositive. The certificate has dimension one more for V-representation case. */ ddf_LPPtr lp; ddf_rowrange i,m; ddf_colrange j,d1; ddf_ErrorType err=ddf_NoError; ddf_Arow cvec; /* certificate for implicit linearity */ int answer=0,localdebug=ddf_FALSE; *error=ddf_NoError; /* Create an LP data for redundancy checking */ if (M->representation==ddf_Generator){ lp=ddf_CreateLP_V_ImplicitLinearity(M); } else { lp=ddf_CreateLP_H_ImplicitLinearity(M); } ddf_LPSolve(lp,ddf_choiceRedcheckAlgorithm,&err); if (err!=ddf_NoError){ *error=err; goto _L999; } else { for (j=0; jd; j++) { ddf_set(certificate[j], lp->sol[j]); } if (localdebug) ddf_WriteLPResult(stderr,lp,err); /* *posset contains a set of row indices that are recognized as nonlinearity. */ if (localdebug) { fprintf(stderr,"==> The following variables are not implicit linearity:\n"); set_fwrite(stderr, lp->posset_extra); fprintf(stderr,"\n"); } if (M->representation==ddf_Generator){ d1=(M->colsize)+1; } else { d1=M->colsize; } m=M->rowsize; ddf_InitializeArow(d1,&cvec); set_initialize(imp_linrows,m); if (lp->LPS==ddf_Optimal){ if (ddf_Positive(lp->optvalue)){ answer=1; if (localdebug) fprintf(stderr,"==> The matrix has no implicit linearity.\n"); } else if (ddf_Negative(lp->optvalue)) { answer=-1; if (localdebug) fprintf(stderr,"==> The matrix defines the trivial system.\n"); } else { answer=0; if (localdebug) fprintf(stderr,"==> The matrix has some implicit linearity.\n"); } } else { answer=-2; if (localdebug) fprintf(stderr,"==> The LP fails.\n"); } if (answer==0){ /* List the implicit linearity rows */ for (i=m; i>=1; i--) { if (!set_member(i,lp->posset_extra)) { if (ddf_ImplicitLinearity(M, i, cvec, error)) { set_addelem(*imp_linrows, i); if (localdebug) { fprintf(stderr," row %ld is implicit linearity\n",i); fprintf(stderr,"\n"); } } if (*error!=ddf_NoError) goto _L999; } } } /* end of if (answer==0) */ if (answer==-1) { for (i=m; i>=1; i--) set_addelem(*imp_linrows, i); } /* all rows are considered implicit linearity */ ddf_FreeArow(d1,cvec); } _L999: ddf_FreeLPData(lp); return answer; } ddf_rowset ddf_ImplicitLinearityRows(ddf_MatrixPtr M, ddf_ErrorType *error) /* 092 */ { ddf_colrange d; ddf_rowset imp_linset; ddf_Arow cvec; /* certificate */ int foi; ddf_boolean localdebug=ddf_FALSE; if (M->representation==ddf_Generator){ d=(M->colsize)+2; } else { d=M->colsize+1; } ddf_InitializeArow(d,&cvec); if (localdebug) fprintf(stdout, "\nddf_ImplicitLinearityRows: Check whether the system contains any implicit linearity.\n"); foi=ddf_FreeOfImplicitLinearity(M, cvec, &imp_linset, error); if (localdebug){ switch (foi) { case 1: fprintf(stdout, " It is free of implicit linearity.\n"); break; case 0: fprintf(stdout, " It is not free of implicit linearity.\n"); break; case -1: fprintf(stdout, " The input system is trivial (i.e. the empty H-polytope or the V-rep of the whole space.\n"); break; default: fprintf(stdout, " The LP was not solved correctly.\n"); break; } } if (localdebug){ fprintf(stderr, " Implicit linearity rows are:\n"); set_fwrite(stderr,imp_linset); fprintf(stderr, "\n"); } ddf_FreeArow(d, cvec); return imp_linset; } ddf_boolean ddf_MatrixCanonicalizeLinearity(ddf_MatrixPtr *M, ddf_rowset *impl_linset,ddf_rowindex *newpos, ddf_ErrorType *error) /* 094 */ { /* This is to recongnize all implicit linearities, and put all linearities at the top of the matrix. All implicit linearities will be returned by *impl_linset. */ ddf_rowrange rank; ddf_rowset linrows,ignoredrows,basisrows; ddf_colset ignoredcols,basiscols; ddf_rowrange i,k,m; ddf_rowindex newpos1; ddf_boolean success=ddf_FALSE; linrows=ddf_ImplicitLinearityRows(*M, error); if (*error!=ddf_NoError) goto _L99; m=(*M)->rowsize; set_uni((*M)->linset, (*M)->linset, linrows); /* add the implicit linrows to the explicit linearity rows */ /* To remove redundancy of the linearity part, we need to compute the rank and a basis of the linearity part. */ set_initialize(&ignoredrows, (*M)->rowsize); set_initialize(&ignoredcols, (*M)->colsize); set_compl(ignoredrows, (*M)->linset); rank=ddf_MatrixRank(*M,ignoredrows,ignoredcols,&basisrows,&basiscols); set_diff(ignoredrows, (*M)->linset, basisrows); ddf_MatrixRowsRemove2(M,ignoredrows,newpos); ddf_MatrixShiftupLinearity(M,&newpos1); for (i=1; i<=m; i++){ k=(*newpos)[i]; if (k>0) { (*newpos)[i]=newpos1[k]; } } *impl_linset=linrows; success=ddf_TRUE; free(newpos1); set_free(basisrows); set_free(basiscols); set_free(ignoredrows); set_free(ignoredcols); _L99: return success; } ddf_boolean ddf_MatrixCanonicalize(ddf_MatrixPtr *M, ddf_rowset *impl_linset, ddf_rowset *redset, ddf_rowindex *newpos, ddf_ErrorType *error) /* 094 */ { /* This is to find a canonical representation of a matrix *M by recognizing all implicit linearities and all redundancies. All implicit linearities will be returned by *impl_linset and redundancies will be returned by *redset. */ ddf_rowrange i,k,m; ddf_rowindex newpos1,revpos; ddf_rowset redset1; ddf_boolean success=ddf_TRUE; m=(*M)->rowsize; set_initialize(redset, m); revpos=(long *)calloc(m+1,sizeof(long)); success=ddf_MatrixCanonicalizeLinearity(M, impl_linset, newpos, error); if (!success) goto _L99; for (i=1; i<=m; i++){ k=(*newpos)[i]; if (k>0) revpos[k]=i; /* inverse of *newpos[] */ } success=ddf_MatrixRedundancyRemove(M, &redset1, &newpos1, error); /* 094 */ if (!success) goto _L99; for (i=1; i<=m; i++){ k=(*newpos)[i]; if (k>0) { (*newpos)[i]=newpos1[k]; if (newpos1[k]<0) (*newpos)[i]=-revpos[-newpos1[k]]; /* update the certificate of its duplicate removal. */ if (set_member(k,redset1)) set_addelem(*redset, i); } } _L99: set_free(redset1); free(newpos1); free(revpos); return success; } ddf_boolean ddf_ExistsRestrictedFace(ddf_MatrixPtr M, ddf_rowset R, ddf_rowset S, ddf_ErrorType *err) /* 0.94 */ { /* This function checkes if there is a point that satifies all the constraints of the matrix M (interpreted as an H-representation) with additional equality contraints specified by R and additional strict inequality constraints specified by S. The set S is supposed to be disjoint from both R and M->linset. When it is not, the set S will be considered as S\(R U M->linset). */ ddf_boolean answer=ddf_FALSE; ddf_LPPtr lp=NULL; /* printf("\n--- ERF ---\n"); printf("R = "); set_write(R); printf("S = "); set_write(S); */ lp=ddf_Matrix2Feasibility2(M, R, S, err); if (*err!=ddf_NoError) goto _L99; /* Solve the LP by cdd LP solver. */ ddf_LPSolve(lp, ddf_DualSimplex, err); /* Solve the LP */ if (*err!=ddf_NoError) goto _L99; if (lp->LPS==ddf_Optimal && ddf_Positive(lp->optvalue)) { answer=ddf_TRUE; } ddf_FreeLPData(lp); _L99: return answer; } ddf_boolean ddf_ExistsRestrictedFace2(ddf_MatrixPtr M, ddf_rowset R, ddf_rowset S, ddf_LPSolutionPtr *lps, ddf_ErrorType *err) /* 0.94 */ { /* This function checkes if there is a point that satifies all the constraints of the matrix M (interpreted as an H-representation) with additional equality contraints specified by R and additional strict inequality constraints specified by S. The set S is supposed to be disjoint from both R and M->linset. When it is not, the set S will be considered as S\(R U M->linset). This function returns a certificate of the answer in terms of the associated LP solutions. */ ddf_boolean answer=ddf_FALSE; ddf_LPPtr lp=NULL; /* printf("\n--- ERF ---\n"); printf("R = "); set_write(R); printf("S = "); set_write(S); */ lp=ddf_Matrix2Feasibility2(M, R, S, err); if (*err!=ddf_NoError) goto _L99; /* Solve the LP by cdd LP solver. */ ddf_LPSolve(lp, ddf_DualSimplex, err); /* Solve the LP */ if (*err!=ddf_NoError) goto _L99; if (lp->LPS==ddf_Optimal && ddf_Positive(lp->optvalue)) { answer=ddf_TRUE; } (*lps)=ddf_CopyLPSolution(lp); ddf_FreeLPData(lp); _L99: return answer; } ddf_boolean ddf_FindRelativeInterior(ddf_MatrixPtr M, ddf_rowset *ImL, ddf_rowset *Lbasis, ddf_LPSolutionPtr *lps, ddf_ErrorType *err) /* 0.94 */ { /* This function computes a point in the relative interior of the H-polyhedron given by M. Even the representation is V-representation, it simply interprete M as H-representation. lps returns the result of solving an LP whose solution is a relative interior point. ImL returns all row indices of M that are implicit linearities, i.e. their inqualities are satisfied by equality by all points in the polyhedron. Lbasis returns a row basis of the submatrix of M consisting of all linearities and implicit linearities. This means that the dimension of the polyhedron is M->colsize - set_card(Lbasis) -1. */ ddf_rowset S; ddf_colset T, Lbasiscols; ddf_boolean success=ddf_FALSE; ddf_rowrange i; ddf_colrange rank; *ImL=ddf_ImplicitLinearityRows(M, err); if (*err!=ddf_NoError) goto _L99; set_initialize(&S, M->rowsize); /* the empty set */ for (i=1; i <=M->rowsize; i++) { if (!set_member(i, M->linset) && !set_member(i, *ImL)){ set_addelem(S, i); /* all nonlinearity rows go to S */ } } if (ddf_ExistsRestrictedFace2(M, *ImL, S, lps, err)){ /* printf("a relative interior point found\n"); */ success=ddf_TRUE; } set_initialize(&T, M->colsize); /* empty set */ rank=ddf_MatrixRank(M,S,T,Lbasis,&Lbasiscols); /* the rank of the linearity submatrix of M. */ set_free(S); set_free(T); set_free(Lbasiscols); _L99: return success; } ddf_rowrange ddf_RayShooting(ddf_MatrixPtr M, ddf_Arow p, ddf_Arow r) { /* 092, find the first inequality "hit" by a ray from an intpt. */ ddf_rowrange imin=-1,i,m; ddf_colrange j, d; ddf_Arow vecmin, vec; myfloat min,t1,t2,alpha, t1min; ddf_boolean started=ddf_FALSE; ddf_boolean localdebug=ddf_FALSE; m=M->rowsize; d=M->colsize; if (!ddf_Equal(ddf_one, p[0])){ fprintf(stderr, "Warning: RayShooting is called with a point with first coordinate not 1.\n"); ddf_set(p[0],ddf_one); } if (!ddf_EqualToZero(r[0])){ fprintf(stderr, "Warning: RayShooting is called with a direction with first coordinate not 0.\n"); ddf_set(r[0],ddf_purezero); } ddf_init(alpha); ddf_init(min); ddf_init(t1); ddf_init(t2); ddf_init(t1min); ddf_InitializeArow(d,&vecmin); ddf_InitializeArow(d,&vec); for (i=1; i<=m; i++){ ddf_InnerProduct(t1, d, M->matrix[i-1], p); if (ddf_Positive(t1)) { ddf_InnerProduct(t2, d, M->matrix[i-1], r); ddf_div(alpha, t2, t1); if (!started){ imin=i; ddf_set(min, alpha); ddf_set(t1min, t1); /* store the denominator. */ started=ddf_TRUE; if (localdebug) { fprintf(stderr," Level 1: imin = %ld and min = ", imin); ddf_WriteNumber(stderr, min); fprintf(stderr,"\n"); } } else { if (ddf_Smaller(alpha, min)){ imin=i; ddf_set(min, alpha); ddf_set(t1min, t1); /* store the denominator. */ if (localdebug) { fprintf(stderr," Level 2: imin = %ld and min = ", imin); ddf_WriteNumber(stderr, min); fprintf(stderr,"\n"); } } else { if (ddf_Equal(alpha, min)) { /* tie break */ for (j=1; j<= d; j++){ ddf_div(vecmin[j-1], M->matrix[imin-1][j-1], t1min); ddf_div(vec[j-1], M->matrix[i-1][j-1], t1); } if (ddf_LexSmaller(vec,vecmin, d)){ imin=i; ddf_set(min, alpha); ddf_set(t1min, t1); /* store the denominator. */ if (localdebug) { fprintf(stderr," Level 3: imin = %ld and min = ", imin); ddf_WriteNumber(stderr, min); fprintf(stderr,"\n"); } } } } } } } ddf_clear(alpha); ddf_clear(min); ddf_clear(t1); ddf_clear(t2); ddf_clear(t1min); ddf_FreeArow(d, vecmin); ddf_FreeArow(d, vec); return imin; } #ifdef ddf_GMPRATIONAL void ddf_BasisStatusMaximize(ddf_rowrange m_size,ddf_colrange d_size, ddf_Amatrix A,ddf_Bmatrix T,ddf_rowset equalityset, ddf_rowrange objrow,ddf_colrange rhscol,ddf_LPStatusType LPS, myfloat *optvalue,ddf_Arow sol,ddf_Arow dsol,ddf_rowset posset, ddf_colindex nbindex, ddf_rowrange re,ddf_colrange se, ddf_colrange *nse, long *pivots, int *found, int *LPScorrect) /* This is just to check whether the status LPS of the basis given by nbindex with extra certificates se or re is correct. It is done by recomputing the basis inverse matrix T. It does not solve the LP when the status *LPS is undecided. Thus the input is m_size, d_size, A, equalityset, LPS, nbindex, re and se. Other values will be recomputed from scratch. The main purpose of the function is to verify the correctness of the result of floating point computation with the GMP rational arithmetics. */ { long pivots0,pivots1,fbasisrank; ddf_rowrange i,is; ddf_colrange s,senew,j; static ddf_rowindex bflag; static long mlast=0; static ddf_rowindex OrderVector; /* the permutation vector to store a preordered row indices */ unsigned int rseed=1; myfloat val; ddf_colindex nbtemp; ddf_LPStatusType ddlps; ddf_boolean localdebug=ddf_FALSE; if (ddf_debug) localdebug=ddf_debug; if (localdebug){ printf("\nEvaluating ddf_BasisStatusMaximize:\n"); } ddf_init(val); nbtemp=(long *) calloc(d_size+1,sizeof(long)); for (i=0; i<= 4; i++) pivots[i]=0; if (bflag==NULL || mlast!=m_size){ if (mlast!=m_size && mlast>0) { free(bflag); /* called previously with different m_size */ free(OrderVector); } bflag=(long *) calloc(m_size+1,sizeof(long)); OrderVector=(long *)calloc(m_size+1,sizeof(long)); /* initialize only for the first time or when a larger space is needed */ mlast=m_size; } /* Initializing control variables. */ ddf_ComputeRowOrderVector2(m_size,d_size,A,OrderVector,ddf_MinIndex,rseed); pivots1=0; ddf_ResetTableau(m_size,d_size,T,nbtemp,bflag,objrow,rhscol); if (localdebug){ printf("\nnbindex:"); for (j=1; j<=d_size; j++) printf(" %ld", nbindex[j]); printf("\n"); printf("re = %ld, se=%ld\n", re, se); } is=nbindex[se]; if (localdebug) printf("se=%ld, is=%ld\n", se, is); fbasisrank=d_size-1; for (j=1; j<=d_size; j++){ if (nbindex[j]<0) fbasisrank=fbasisrank-1; /* fbasisrank=the basis rank computed by floating-point */ } if (fbasisrank0) { /* i is nonbasic variable */ ddf_TableauEntry(&val,m_size,d_size,A,T,objrow,bflag[i]); if (ddf_Positive(val)) { if (localdebug) printf("Reduced cost entry for %ld is positive\n", i); *LPScorrect=ddf_FALSE; break; } } }; break; case ddf_Inconsistent: for (j=1; j<=d_size; j++){ ddf_TableauEntry(&val,m_size,d_size,A,T,re,j); if (j==rhscol){ if (ddf_Nonnegative(val)){ if (localdebug) printf("RHS entry for %ld is nonnegative\n", re); *LPScorrect=ddf_FALSE; break; } } else if (ddf_Positive(val)){ if (localdebug) printf("the row entry for(%ld, %ld) is positive\n", re, j); *LPScorrect=ddf_FALSE; break; } }; break; case ddf_DualInconsistent: for (i=1; i<=m_size; i++){ ddf_TableauEntry(&val,m_size,d_size,A,T,i,bflag[is]); if (i==objrow){ if (ddf_Nonpositive(val)){ if (localdebug) printf("Reduced cost entry for %ld is nonpositive\n", bflag[is]); *LPScorrect=ddf_FALSE; break; } } else if (ddf_Negative(val)){ if (localdebug) printf("the column entry for(%ld, %ld) is positive\n", i, bflag[is]); *LPScorrect=ddf_FALSE; break; } }; break; ; default: break; } ddlps=LPSf2LPS(LPS); ddf_SetSolutions(m_size,d_size,A,T, objrow,rhscol,ddlps,optvalue,sol,dsol,posset,nbindex,re,senew,bflag); *nse=senew; _L99: ddf_clear(val); free(nbtemp); } void ddf_BasisStatusMinimize(ddf_rowrange m_size,ddf_colrange d_size, ddf_Amatrix A,ddf_Bmatrix T,ddf_rowset equalityset, ddf_rowrange objrow,ddf_colrange rhscol,ddf_LPStatusType LPS, myfloat *optvalue,ddf_Arow sol,ddf_Arow dsol, ddf_rowset posset, ddf_colindex nbindex, ddf_rowrange re,ddf_colrange se,ddf_colrange *nse,long *pivots, int *found, int *LPScorrect) { ddf_colrange j; for (j=1; j<=d_size; j++) ddf_neg(A[objrow-1][j-1],A[objrow-1][j-1]); ddf_BasisStatusMaximize(m_size,d_size,A,T,equalityset, objrow,rhscol, LPS,optvalue,sol,dsol,posset,nbindex,re,se,nse,pivots,found,LPScorrect); ddf_neg(*optvalue,*optvalue); for (j=1; j<=d_size; j++){ if (LPS!=ddf_Inconsistent) { /* Inconsistent certificate stays valid for minimization, 0.94e */ ddf_neg(dsol[j-1],dsol[j-1]); } ddf_neg(A[objrow-1][j-1],A[objrow-1][j-1]); } } #endif /* end of cddlp.c */ cddlib-094g/lib-src-gmp/cddmp.c000077700000000000000000000000001206770251100213242../lib-src/cddmp.custar00rootroot00000000000000cddlib-094g/lib-src-gmp/cddmp.h000077700000000000000000000000001206770251100213362../lib-src/cddmp.hustar00rootroot00000000000000cddlib-094g/lib-src-gmp/cddmp_f.c000066400000000000000000000104741206770251100166430ustar00rootroot00000000000000/* automatically generated by sed scripts from the c source named below: */ /* cddmp.c (cddlib arithmetic operations using gmp) Copyright: Komei Fukuda 2000, fukuda@ifor.math.ethz.ch Version 0.94g, March 23, 2012 */ /* 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., 675 Mass Ave, Cambridge, MA 02139, USA. */ #include "setoper.h" /* set operation library header (Ver. March 16,1995 or later) */ #include "cdd_f.h" void ddf_set_global_constants() { ddf_init(ddf_zero); ddf_init(ddf_minuszero); ddf_init(ddf_one); ddf_init(ddf_minusone); ddf_init(ddf_purezero); time(&ddf_statStartTime); /* cddlib starting time */ ddf_statBApivots=0; /* basis finding pivots */ ddf_statCCpivots=0; /* criss-cross pivots */ ddf_statDS1pivots=0; /* phase 1 pivots */ ddf_statDS2pivots=0; /* phase 2 pivots */ ddf_statACpivots=0; /* anticycling (cc) pivots */ ddf_choiceLPSolverDefault=ddf_DualSimplex; /* Default LP solver Algorithm */ ddf_choiceRedcheckAlgorithm=ddf_DualSimplex; /* Redundancy Checking Algorithm */ ddf_choiceLexicoPivotQ=ddf_TRUE; /* whether to use the lexicographic pivot */ #if defined ddf_GMPRATIONAL ddf_statBSpivots=0; /* basis status checking pivots */ mpq_set_ui(ddf_zero,0U,1U); mpq_set_ui(ddf_purezero,0U,1U); mpq_set_ui(ddf_one,1U,1U); mpq_set_si(ddf_minusone,-1L,1U); ddf_set_global_constants(); #elif defined GMPFLOAT mpf_set_d(ddf_zero,ddf_almostzero); mpf_set_ui(ddf_purezero,0U); mpf_set_ui(ddf_one,1U); mpf_set_si(ddf_minusone,-1L,1U); #else ddf_zero[0]= ddf_almostzero; /*real zero */ ddf_purezero[0]= 0.0; ddf_one[0]= 1L; ddf_minusone[0]= -1L; #endif ddf_neg(ddf_minuszero,ddf_zero); } void ddf_free_global_constants() { ddf_clear(ddf_zero); ddf_clear(ddf_minuszero); ddf_clear(ddf_one); ddf_clear(ddf_minusone); ddf_clear(ddf_purezero); time(&ddf_statStartTime); /* cddlib starting time */ ddf_statBApivots=0; /* basis finding pivots */ ddf_statCCpivots=0; /* criss-cross pivots */ ddf_statDS1pivots=0; /* phase 1 pivots */ ddf_statDS2pivots=0; /* phase 2 pivots */ ddf_statACpivots=0; /* anticycling (cc) pivots */ ddf_choiceLPSolverDefault=ddf_DualSimplex; /* Default LP solver Algorithm */ ddf_choiceRedcheckAlgorithm=ddf_DualSimplex; /* Redundancy Checking Algorithm */ ddf_choiceLexicoPivotQ=ddf_TRUE; /* whether to use the lexicographic pivot */ #if defined ddf_GMPRATIONAL ddf_statBSpivots=0; /* basis status checking pivots */ ddf_free_global_constants(); #endif } #if defined ddf_GMPRATIONAL void dddf_mpq_set_si(myfloat a,signed long b) { mpz_t nz, dz; mpz_init(nz); mpz_init(dz); mpz_set_si(nz, b); mpz_set_ui(dz, 1U); mpq_set_num(a, nz); mpq_set_den(a, dz); mpz_clear(nz); mpz_clear(dz); } #endif #if defined ddf_ddf_CDOUBLE void dddf_init(myfloat a) { a[0]=0L; } void dddf_clear(myfloat a) { /* a[0]=0L; */ } void dddf_set(myfloat a,myfloat b) { a[0]=b[0]; } void dddf_set_d(myfloat a,double b) { a[0]=b; } void dddf_set_si(myfloat a,signed long b) { a[0]=(double)b; } void dddf_set_si2(myfloat a,signed long b, unsigned long c) { a[0]=(double)b/(double)c; } void dddf_add(myfloat a,myfloat b,myfloat c) { a[0]=b[0]+c[0]; } void dddf_sub(myfloat a,myfloat b,myfloat c) { a[0]=b[0]-c[0]; } void dddf_mul(myfloat a,myfloat b,myfloat c) { a[0]=b[0]*c[0]; } void dddf_div(myfloat a,myfloat b,myfloat c) { a[0]=b[0]/c[0]; } void dddf_neg(myfloat a,myfloat b) { a[0]=-b[0]; } void dddf_inv(myfloat a,myfloat b) { a[0]=1/b[0]; } int dddf_cmp(myfloat a,myfloat b) { if (a[0]-b[0]>0) return 1; else if (a[0]-b[0]>=0) return 0; else return -1; } int dddf_sgn(myfloat a) { if (a[0]>0) return 1; else if (a[0]>=0) return 0; else return -1; } double dddf_get_d(myfloat a) { return a[0]; } #endif /* end of cddmp.h */ cddlib-094g/lib-src-gmp/cddmp_f.h000066400000000000000000000114521206770251100166450ustar00rootroot00000000000000/* automatically generated by sed scripts from the c source named below: */ /* cddmp.h (cddlib arithmetic operations using gmp) Copyright: Komei Fukuda 2000, fukuda@ifor.math.ethz.ch Version 0.94g, March 23, 2012 */ /* 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., 675 Mass Ave, Cambridge, MA 02139, USA. */ #ifndef _CDDMP_HF #define _CDDMP_HF #endif /* _CDDMP_HF */ /**********************************/ /* MACROS */ /* dependent on mp implementation */ /**********************************/ #if defined ddf_GMPRATIONAL #include "gmp.h" #define ddf_ddf_ARITHMETIC "GMP rational" #define ddf_init(a) mpq_init(a) #define ddf_clear(a) mpq_clear(a) #define ddf_set(a, b) mpq_set(a,b) #define ddf_set_si(a, b) dddf_mpq_set_si(a,b) /* defined in cddgmp.c */ #define ddf_set_si2(a, b, c) mpq_set_si(a,b,c) /* gmp 3.1 or higher */ #define ddf_add(a, b, c) mpq_add(a,b,c) #define ddf_sub(a, b, c) mpq_sub(a,b,c) #define ddf_mul(a, b, c) mpq_mul(a,b,c) #define ddf_div(a, b, c) mpq_div(a,b,c) #define ddf_neg(a, b) mpq_neg(a,b) #define ddf_inv(a, b) mpq_inv(a,b) #define ddf_cmp(a, b) mpq_cmp(a,b) /* returns pos if a>b, 0 if a=b, negative if ab, 0 if a=b, negative if ab, 0 if a=b, negative if a= 0}. Please read COPYING (GNU General Public Licence) and the manual cddlibman.tex for detail. */ #include "setoper.h" /* set operation library header (Ver. June 1, 2000 or later) */ #include "cdd_f.h" #include #include #include #include #include ddf_MatrixPtr ddf_BlockElimination(ddf_MatrixPtr M, ddf_colset delset, ddf_ErrorType *error) /* Eliminate the variables (columns) delset by the Block Elimination with ddf_DoubleDescription algorithm. Given (where y is to be eliminated): c1 + A1 x + B1 y >= 0 c2 + A2 x + B2 y = 0 1. First construct the dual system: z1^T B1 + z2^T B2 = 0, z1 >= 0. 2. Compute the generators of the dual. 3. Then take the linear combination of the original system with each generator. 4. Remove redundant inequalies. */ { ddf_MatrixPtr Mdual=NULL, Mproj=NULL, Gdual=NULL; ddf_rowrange i,h,m,mproj,mdual,linsize; ddf_colrange j,k,d,dproj,ddual,delsize; ddf_colindex delindex; myfloat temp,prod; ddf_PolyhedraPtr dualpoly; ddf_ErrorType err=ddf_NoError; ddf_boolean localdebug=ddf_FALSE; *error=ddf_NoError; m= M->rowsize; d= M->colsize; delindex=(long*)calloc(d+1,sizeof(long)); ddf_init(temp); ddf_init(prod); k=0; delsize=0; for (j=1; j<=d; j++){ if (set_member(j, delset)){ k++; delsize++; delindex[k]=j; /* stores the kth deletion column index */ } } if (localdebug) ddf_WriteMatrix(stdout, M); linsize=set_card(M->linset); ddual=m+1; mdual=delsize + m - linsize; /* #equalitions + dimension of z1 */ /* setup the dual matrix */ Mdual=ddf_CreateMatrix(mdual, ddual); Mdual->representation=ddf_Inequality; for (i = 1; i <= delsize; i++){ set_addelem(Mdual->linset,i); /* equality */ for (j = 1; j <= m; j++) { ddf_set(Mdual->matrix[i-1][j], M->matrix[j-1][delindex[i]-1]); } } k=0; for (i = 1; i <= m; i++){ if (!set_member(i, M->linset)){ /* set nonnegativity for the dual variable associated with each non-linearity inequality. */ k++; ddf_set(Mdual->matrix[delsize+k-1][i], ddf_one); } } /* 2. Compute the generators of the dual system. */ dualpoly=ddf_DDMatrix2Poly(Mdual, &err); Gdual=ddf_CopyGenerators(dualpoly); /* 3. Take the linear combination of the original system with each generator. */ dproj=d-delsize; mproj=Gdual->rowsize; Mproj=ddf_CreateMatrix(mproj, dproj); Mproj->representation=ddf_Inequality; set_copy(Mproj->linset, Gdual->linset); for (i=1; i<=mproj; i++){ k=0; for (j=1; j<=d; j++){ if (!set_member(j, delset)){ k++; /* new index of the variable x_j */ ddf_set(prod, ddf_purezero); for (h = 1; h <= m; h++){ ddf_mul(temp,M->matrix[h-1][j-1],Gdual->matrix[i-1][h]); ddf_add(prod,prod,temp); } ddf_set(Mproj->matrix[i-1][k-1],prod); } } } if (localdebug) printf("Size of the projection system: %ld x %ld\n", mproj, dproj); ddf_FreePolyhedra(dualpoly); free(delindex); ddf_clear(temp); ddf_clear(prod); ddf_FreeMatrix(Mdual); ddf_FreeMatrix(Gdual); return Mproj; } ddf_MatrixPtr ddf_FourierElimination(ddf_MatrixPtr M,ddf_ErrorType *error) /* Eliminate the last variable (column) from the given H-matrix using the standard Fourier Elimination. */ { ddf_MatrixPtr Mnew=NULL; ddf_rowrange i,inew,ip,in,iz,m,mpos=0,mneg=0,mzero=0,mnew; ddf_colrange j,d,dnew; ddf_rowindex posrowindex, negrowindex,zerorowindex; myfloat temp1,temp2; ddf_boolean localdebug=ddf_FALSE; *error=ddf_NoError; m= M->rowsize; d= M->colsize; if (d<=1){ *error=ddf_ColIndexOutOfRange; if (localdebug) { printf("The number of column is too small: %ld for Fourier's Elimination.\n",d); } goto _L99; } if (M->representation==ddf_Generator){ *error=ddf_NotAvailForV; if (localdebug) { printf("Fourier's Elimination cannot be applied to a V-polyhedron.\n"); } goto _L99; } if (set_card(M->linset)>0){ *error=ddf_CannotHandleLinearity; if (localdebug) { printf("The Fourier Elimination function does not handle equality in this version.\n"); } goto _L99; } /* Create temporary spaces to be removed at the end of this function */ posrowindex=(long*)calloc(m+1,sizeof(long)); negrowindex=(long*)calloc(m+1,sizeof(long)); zerorowindex=(long*)calloc(m+1,sizeof(long)); ddf_init(temp1); ddf_init(temp2); for (i = 1; i <= m; i++) { if (ddf_Positive(M->matrix[i-1][d-1])){ mpos++; posrowindex[mpos]=i; } else if (ddf_Negative(M->matrix[i-1][d-1])) { mneg++; negrowindex[mneg]=i; } else { mzero++; zerorowindex[mzero]=i; } } /*of i*/ if (localdebug) { ddf_WriteMatrix(stdout, M); printf("No of (+ - 0) rows = (%ld, %ld, %ld)\n", mpos,mneg, mzero); } /* The present code generates so many redundant inequalities and thus is quite useless, except for very small examples */ mnew=mzero+mpos*mneg; /* the total number of rows after elimination */ dnew=d-1; Mnew=ddf_CreateMatrix(mnew, dnew); ddf_CopyArow(Mnew->rowvec, M->rowvec, dnew); /* set_copy(Mnew->linset,M->linset); */ Mnew->numbtype=M->numbtype; Mnew->representation=M->representation; Mnew->objective=M->objective; /* Copy the inequalities independent of x_d to the top of the new matrix. */ for (iz = 1; iz <= mzero; iz++){ for (j = 1; j <= dnew; j++) { ddf_set(Mnew->matrix[iz-1][j-1], M->matrix[zerorowindex[iz]-1][j-1]); } } /* Create the new inequalities by combining x_d positive and negative ones. */ inew=mzero; /* the index of the last x_d zero inequality */ for (ip = 1; ip <= mpos; ip++){ for (in = 1; in <= mneg; in++){ inew++; ddf_neg(temp1, M->matrix[negrowindex[in]-1][d-1]); for (j = 1; j <= dnew; j++) { ddf_LinearComb(temp2,M->matrix[posrowindex[ip]-1][j-1],temp1,\ M->matrix[negrowindex[in]-1][j-1],\ M->matrix[posrowindex[ip]-1][d-1]); ddf_set(Mnew->matrix[inew-1][j-1],temp2); } ddf_Normalize(dnew,Mnew->matrix[inew-1]); } } free(posrowindex); free(negrowindex); free(zerorowindex); ddf_clear(temp1); ddf_clear(temp2); _L99: return Mnew; } /* end of cddproj.c */ cddlib-094g/lib-src-gmp/cddtypes.h000077700000000000000000000000001206770251100226162../lib-src/cddtypes.hustar00rootroot00000000000000cddlib-094g/lib-src-gmp/cddtypes_f.h000066400000000000000000000261451206770251100174020ustar00rootroot00000000000000/* automatically generated by sed scripts from the c source named below: */ /* cddtypes.h: Header file for cddlib.c written by Komei Fukuda, fukuda@ifor.math.ethz.ch Version 0.94g, March 23, 2012 */ /* cddlib.c : C-Implementation of the double description method for computing all vertices and extreme rays of the polyhedron P= {x : b - A x >= 0}. Please read COPYING (GNU General Public Licence) and the manual cddlibman.tex for detail. */ #ifndef _CDDTYPES_HF #define _CDDTYPES_HF #endif /* _CDDTYPES_HF */ #define ddf_COPYRIGHT "Copyright (C) 1996, Komei Fukuda, fukuda@ifor.math.ethz.ch" #define ddf_DDVERSION "Version 0.94g (March 23, 2012)" #include #define ddf_wordlenmax 1024 #define ddf_linelenmax 4096 #define ddf_datawidth 10 #define ddf_filenamelen 255 #define ddf_FALSE 0 #define ddf_TRUE 1 typedef int ddf_boolean; typedef long ddf_rowrange; typedef long ddf_colrange; typedef long ddf_bigrange; typedef set_type ddf_rowset; typedef set_type ddf_colset; typedef long *ddf_rowindex; typedef int *ddf_rowflag; typedef long *ddf_colindex; typedef myfloat **ddf_Amatrix; typedef myfloat *ddf_Arow; typedef set_type *ddf_SetVector; typedef myfloat **ddf_Bmatrix; typedef set_type *ddf_Aincidence; /* typedef char ddf_FilenameType[ddf_filenamelen]; deleted 000505*/ typedef char ddf_DataFileType[ddf_filenamelen]; typedef char ddf_LineType[ddf_linelenmax]; typedef char ddf_WordType[ddf_wordlenmax]; typedef struct ddf_raydata *ddf_RayPtr; typedef struct ddf_raydata { myfloat *Ray; ddf_rowset ZeroSet; ddf_rowrange FirstInfeasIndex; /* the first inequality the ray violates */ ddf_boolean feasible; /* flag to store the feasibility */ myfloat ARay; /* temporary area to store some row of A*Ray */ ddf_RayPtr Next; } ddf_RayType; typedef struct ddf_adjacencydata *ddf_AdjacencyPtr; typedef struct ddf_adjacencydata { ddf_RayPtr Ray1, Ray2; ddf_AdjacencyPtr Next; } ddf_AdjacencyType; typedef enum { ddf_Combinatorial, ddf_Algebraic } ddf_AdjacencyTestType; typedef enum { ddf_MaxIndex, ddf_MinIndex, ddf_MinCutoff, ddf_MaxCutoff, ddf_MixCutoff, ddf_LexMin, ddf_LexMax, ddf_RandomRow } ddf_RowOrderType; typedef enum { ddf_Unknown=0, ddf_Real, ddf_Rational, ddf_Integer } ddf_NumberType; typedef enum { ddf_Unspecified=0, ddf_Inequality, ddf_Generator } ddf_RepresentationType; typedef enum { ddf_IneToGen, ddf_GenToIne, ddf_LPMax, ddf_LPMin, ddf_InteriorFind } ddf_ConversionType; typedef enum { ddf_IncOff=0, ddf_IncCardinality, ddf_IncSet } ddf_IncidenceOutputType; typedef enum { ddf_AdjOff=0, ddf_AdjacencyList, ddf_AdjacencyDegree } ddf_AdjacencyOutputType; typedef enum { ddf_Auto, ddf_SemiAuto, ddf_Manual } ddf_FileInputModeType; /* Auto if a input filename is specified by command arguments */ typedef enum { ddf_DimensionTooLarge, ddf_ImproperInputFormat, ddf_NegativeMatrixSize, ddf_EmptyVrepresentation, ddf_EmptyHrepresentation, ddf_EmptyRepresentation, ddf_IFileNotFound, ddf_OFileNotOpen, ddf_NoLPObjective, ddf_NoRealNumberSupport, ddf_NotAvailForH, ddf_NotAvailForV, ddf_CannotHandleLinearity, ddf_RowIndexOutOfRange, ddf_ColIndexOutOfRange, ddf_LPCycling, ddf_NumericallyInconsistent, ddf_NoError } ddf_ErrorType; typedef enum { ddf_InProgress, ddf_AllFound, ddf_RegionEmpty } ddf_CompStatusType; /* --- LP types ---- */ typedef enum { ddf_LPnone=0, ddf_LPmax, ddf_LPmin } ddf_LPObjectiveType; typedef enum { ddf_CrissCross, ddf_DualSimplex } ddf_LPSolverType; typedef enum { ddf_LPSundecided, ddf_Optimal, ddf_Inconsistent, ddf_DualInconsistent, ddf_StrucInconsistent, ddf_StrucDualInconsistent, ddf_Unbounded, ddf_DualUnbounded } ddf_LPStatusType; typedef struct ddf_lpsolution *ddf_LPSolutionPtr; typedef struct ddf_lpsolution { ddf_DataFileType filename; ddf_LPObjectiveType objective; ddf_LPSolverType solver; ddf_rowrange m; ddf_colrange d; ddf_NumberType numbtype; ddf_LPStatusType LPS; /* the current solution status */ myfloat optvalue; /* optimal value */ ddf_Arow sol; /* primal solution */ ddf_Arow dsol; /* dual solution */ ddf_colindex nbindex; /* current basis represented by nonbasic indices */ ddf_rowrange re; /* row index as a certificate in the case of inconsistency */ ddf_colrange se; /* col index as a certificate in the case of dual inconsistency */ long pivots[5]; /* pivots[0]=setup (to find a basis), pivots[1]=PhaseI or Criss-Cross, pivots[2]=Phase II, pivots[3]=Anticycling, pivots[4]=GMP postopt. */ long total_pivots; } ddf_LPSolutionType; typedef struct ddf_lpdata *ddf_LPPtr; typedef struct ddf_lpdata { ddf_DataFileType filename; ddf_LPObjectiveType objective; ddf_LPSolverType solver; ddf_boolean Homogeneous; /* The first column except for the obj row is all zeros. */ ddf_rowrange m; ddf_colrange d; ddf_Amatrix A; ddf_Bmatrix B; ddf_rowrange objrow; ddf_colrange rhscol; ddf_NumberType numbtype; ddf_rowrange eqnumber; /* the number of equalities */ ddf_rowset equalityset; ddf_boolean redcheck_extensive; /* Apply the extensive redundancy check. */ ddf_rowrange ired; /* the row index for the redundancy checking */ ddf_rowset redset_extra; /* a set of rows that are newly recognized redundan by the extensive search. */ ddf_rowset redset_accum; /* the accumulated set of rows that are recognized redundant */ ddf_rowset posset_extra; /* a set of rows that are recognized non-linearity */ ddf_boolean lexicopivot; /* flag to use the lexicogrphic pivot rule (symbolic perturbation). */ ddf_LPStatusType LPS; /* the current solution status */ ddf_rowrange m_alloc; /* the allocated row size of matrix A */ ddf_colrange d_alloc; /* the allocated col size of matrix A */ myfloat optvalue; /* optimal value */ ddf_Arow sol; /* primal solution */ ddf_Arow dsol; /* dual solution */ ddf_colindex nbindex; /* current basis represented by nonbasic indices */ ddf_rowrange re; /* row index as a certificate in the case of inconsistency */ ddf_colrange se; /* col index as a certificate in the case of dual inconsistency */ long pivots[5]; /* pivots[0]=setup (to find a basis), pivots[1]=PhaseI or Criss-Cross, pivots[2]=Phase II, pivots[3]=Anticycling, pivots[4]=GMP postopt. */ long total_pivots; int use_given_basis; /* switch to indicate the use of the given basis */ ddf_colindex given_nbindex; /* given basis represented by nonbasic indices */ time_t starttime; time_t endtime; } ddf_LPType; /*---- end of LP Types ----- */ typedef struct ddf_matrixdata *ddf_MatrixPtr; typedef struct ddf_matrixdata { ddf_rowrange rowsize; ddf_rowset linset; /* a subset of rows of linearity (ie, generators of linearity space for V-representation, and equations for H-representation. */ ddf_colrange colsize; ddf_RepresentationType representation; ddf_NumberType numbtype; ddf_Amatrix matrix; ddf_LPObjectiveType objective; ddf_Arow rowvec; } ddf_MatrixType; typedef struct ddf_setfamily *ddf_SetFamilyPtr; typedef struct ddf_setfamily { ddf_bigrange famsize; ddf_bigrange setsize; ddf_SetVector set; } ddf_SetFamilyType; typedef struct ddf_nodedata *ddf_NodePtr; typedef struct ddf_nodedata {ddf_bigrange key; ddf_NodePtr next;} ddf_NodeType; typedef struct ddf_graphdata *ddf_GraphPtr; typedef struct ddf_graphdata { ddf_bigrange vsize; ddf_NodePtr *adjlist; /* should be initialized to have vsize components */ } ddf_GraphType; typedef struct ddf_polyhedradata *ddf_PolyhedraPtr; typedef struct ddf_conedata *ddf_ConePtr; typedef struct ddf_polyhedradata { ddf_RepresentationType representation; /* given representation */ ddf_boolean homogeneous; ddf_colrange d; ddf_rowrange m; ddf_Amatrix A; /* Inequality System: m times d matrix */ ddf_NumberType numbtype; ddf_ConePtr child; /* pointing to the homogenized cone data */ ddf_rowrange m_alloc; /* allocated row size of matrix A */ ddf_colrange d_alloc; /* allocated col size of matrix A */ ddf_Arow c; /* cost vector */ ddf_rowflag EqualityIndex; /* ith component is 1 if it is equality, -1 if it is strict inequality, 0 otherwise. */ ddf_boolean IsEmpty; /* This is to tell whether the set is empty or not */ ddf_boolean NondegAssumed; ddf_boolean InitBasisAtBottom; ddf_boolean RestrictedEnumeration; ddf_boolean RelaxedEnumeration; ddf_rowrange m1; /* = m or m+1 (when representation=Inequality && !homogeneous) This data is written after ddf_ConeDataLoad is called. This determines the size of Ainc. */ ddf_boolean AincGenerated; /* Indicates whether Ainc, Ared, Adom are all computed. All the variables below are valid only when this is TRUE */ ddf_colrange ldim; /* linearity dimension */ ddf_bigrange n; /* the size of output = total number of rays in the computed cone + linearity dimension */ ddf_Aincidence Ainc; /* incidence of input and output */ ddf_rowset Ared; /* redundant set of rows whose removal results in a minimal system */ ddf_rowset Adom; /* dominant set of rows (those containing all rays). */ } ddf_PolyhedraType; typedef struct ddf_conedata { ddf_RepresentationType representation; ddf_rowrange m; ddf_colrange d; ddf_Amatrix A; ddf_NumberType numbtype; ddf_PolyhedraPtr parent; /* pointing to the original polyhedra data */ ddf_rowrange m_alloc; /* allocated row size of matrix A */ ddf_colrange d_alloc; /* allocated col size of matrix A */ /* CONTROL: variables to control computation */ ddf_rowrange Iteration; ddf_RowOrderType HalfspaceOrder; ddf_RayPtr FirstRay, LastRay, ArtificialRay; /* The second description: Generator */ ddf_RayPtr PosHead, ZeroHead, NegHead, PosLast, ZeroLast, NegLast; ddf_AdjacencyType **Edges; /* adjacency relation storage for iteration k */ unsigned int rseed; /* random seed for random row permutation */ ddf_boolean ColReduced; /* flag to indicate that a column basis is computed and reduced */ ddf_bigrange LinearityDim; /* the dimension of the linearity space (when input is H), and the size of a minimal system of equations to determine the space (when V). */ ddf_colrange d_orig; /* the size d of the original matrix A */ ddf_colindex newcol; /* the size d of the original matrix A */ ddf_colindex InitialRayIndex; /* InitialRayIndex[s] (s>=1) stores the corr. row index */ ddf_rowindex OrderVector; ddf_boolean RecomputeRowOrder; ddf_boolean PreOrderedRun; ddf_rowset GroundSet, EqualitySet, NonequalitySet, AddedHalfspaces, WeaklyAddedHalfspaces, InitialHalfspaces; long RayCount, FeasibleRayCount, WeaklyFeasibleRayCount, TotalRayCount, ZeroRayCount; long EdgeCount, TotalEdgeCount; long count_int,count_int_good,count_int_bad; /* no. of intersection operations */ ddf_Bmatrix B; ddf_Bmatrix Bsave; /* a copy of the dual basis inverse used to reduce the matrix A */ /* STATES: variables to represent current state. */ ddf_ErrorType Error; ddf_CompStatusType CompStatus; /* Computation Status */ time_t starttime, endtime; } ddf_ConeType; /* Global Variables */ extern ddf_boolean ddf_debug; extern ddf_boolean ddf_log; /* end of cddtypes.h */ cddlib-094g/lib-src-gmp/setoper.c000077700000000000000000000000001206770251100223102../lib-src/setoper.custar00rootroot00000000000000cddlib-094g/lib-src-gmp/setoper.h000077700000000000000000000000001206770251100223222../lib-src/setoper.hustar00rootroot00000000000000cddlib-094g/lib-src/000077500000000000000000000000001206770251100143145ustar00rootroot00000000000000cddlib-094g/lib-src/.DS_Store.1000077500000000000000000000140041206770251100161400ustar00rootroot00000000000000Bud1%  @€ @€ @€ @ E%DSDB`€ @€ @€ @cddlib-094g/lib-src/Makefile.am000066400000000000000000000003721206770251100163520ustar00rootroot00000000000000lib_LTLIBRARIES = libcdd.la libcdd_la_SOURCES = \ cddcore.c \ cddlp.c \ cddmp.c \ cddio.c \ cddlib.c \ cddproj.c \ setoper.c include_HEADERS = \ cdd.h \ cddmp.h \ cddtypes.h \ setoper.h AM_CPPFLAGS = -UGMPRATIONAL AM_LDFLAGS = -version-info 0:0:0 cddlib-094g/lib-src/Makefile.in000066400000000000000000000372501206770251100163700ustar00rootroot00000000000000# Makefile.in generated by automake 1.10.2 from Makefile.am. # @configure_input@ # Copyright (C) 1994, 1995, 1996, 1997, 1998, 1999, 2000, 2001, 2002, # 2003, 2004, 2005, 2006, 2007, 2008 Free Software Foundation, Inc. # This Makefile.in is free software; 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Please read COPYING (GNU General Public Licence) and the manual cddlibman.tex for detail. */ #ifndef __CDD_H #define __CDD_H #endif /* __CDD_H */ #ifndef __CDDMP_H #include "cddmp.h" #endif /* __CDDMP_H */ #ifndef __CDDTYPES_H #include "cddtypes.h" #endif /* __CDDTYPES_H */ #ifdef GMPRATIONAL #ifndef __CDD_HF #include "cdd_f.h" #endif #endif /* GLOBAL CONSTANTS and STATISTICS VARIABLES (to be set by dd_set_global_constants() */ extern mytype dd_zero; extern mytype dd_one; extern mytype dd_purezero; extern mytype dd_minuszero; extern mytype dd_minusone; extern time_t dd_statStartTime; /* cddlib starting time */ extern long dd_statBApivots; /* basis finding pivots */ extern long dd_statCCpivots; /* criss-cross pivots */ extern long dd_statDS1pivots; /* phase 1 pivots */ extern long dd_statDS2pivots; /* phase 2 pivots */ extern long dd_statACpivots; /* anticycling (cc) pivots */ #ifdef GMPRATIONAL extern long dd_statBSpivots; /* basis status checking pivots */ #endif extern dd_LPSolverType dd_choiceLPSolverDefault; /* Default LP solver Algorithm */ extern dd_LPSolverType dd_choiceRedcheckAlgorithm; /* Redundancy Checking Algorithm */ extern dd_boolean dd_choiceLexicoPivotQ; /* whether to use the lexicographic pivot */ /* to be used to avoid creating temporary spaces for mytype */ #define dd_almostzero 1.0E-6 /* ---------- FUNCTIONS MEANT TO BE PUBLIC ---------- */ #if defined(__cplusplus) extern "C" { #endif /* basic matrix manipulations */ void dd_InitializeArow(dd_colrange,dd_Arow *); void dd_InitializeAmatrix(dd_rowrange,dd_colrange,dd_Amatrix *); void dd_InitializeBmatrix(dd_colrange, dd_Bmatrix *); dd_SetFamilyPtr dd_CreateSetFamily(dd_bigrange,dd_bigrange); void dd_FreeSetFamily(dd_SetFamilyPtr); dd_MatrixPtr dd_CreateMatrix(dd_rowrange,dd_colrange); void dd_FreeAmatrix(dd_rowrange,dd_colrange,dd_Amatrix); void dd_FreeArow(dd_colrange, dd_Arow); void dd_FreeBmatrix(dd_colrange,dd_Bmatrix); void dd_FreeDDMemory(dd_PolyhedraPtr); void dd_FreePolyhedra(dd_PolyhedraPtr); void dd_FreeMatrix(dd_MatrixPtr); void dd_SetToIdentity(dd_colrange, dd_Bmatrix); /* sign recognitions */ dd_boolean dd_Nonnegative(mytype); dd_boolean dd_Nonpositive(mytype); dd_boolean dd_Positive(mytype); dd_boolean dd_Negative(mytype); dd_boolean dd_EqualToZero(mytype); dd_boolean dd_Nonzero(mytype); dd_boolean dd_Equal(mytype,mytype); dd_boolean dd_Larger(mytype,mytype); dd_boolean dd_Smaller(mytype,mytype); void dd_abs(mytype, mytype); void dd_LinearComb(mytype, mytype, mytype, mytype, mytype); void dd_InnerProduct(mytype, dd_colrange, dd_Arow, dd_Arow); /* major cddlib operations */ dd_MatrixPtr dd_CopyInput(dd_PolyhedraPtr); dd_MatrixPtr dd_CopyOutput(dd_PolyhedraPtr); dd_MatrixPtr dd_CopyInequalities(dd_PolyhedraPtr); dd_MatrixPtr dd_CopyGenerators(dd_PolyhedraPtr); dd_SetFamilyPtr dd_CopyIncidence(dd_PolyhedraPtr); dd_SetFamilyPtr dd_CopyAdjacency(dd_PolyhedraPtr); dd_SetFamilyPtr dd_CopyInputIncidence(dd_PolyhedraPtr); dd_SetFamilyPtr dd_CopyInputAdjacency(dd_PolyhedraPtr); dd_boolean dd_DDFile2File(char *ifile, char *ofile, dd_ErrorType *err); dd_boolean dd_DDInputAppend(dd_PolyhedraPtr*, dd_MatrixPtr, dd_ErrorType*); dd_MatrixPtr dd_PolyFile2Matrix(FILE *f, dd_ErrorType *); dd_PolyhedraPtr dd_DDMatrix2Poly(dd_MatrixPtr, dd_ErrorType *); dd_PolyhedraPtr dd_DDMatrix2Poly2(dd_MatrixPtr, dd_RowOrderType, dd_ErrorType *); dd_boolean dd_Redundant(dd_MatrixPtr, dd_rowrange, dd_Arow, dd_ErrorType *); /* 092 */ dd_rowset dd_RedundantRows(dd_MatrixPtr, dd_ErrorType *); /* 092 */ dd_boolean dd_SRedundant(dd_MatrixPtr, dd_rowrange, dd_Arow, dd_ErrorType *); /* 093a */ dd_rowset dd_SRedundantRows(dd_MatrixPtr, dd_ErrorType *); /* 093a */ dd_rowset dd_RedundantRowsViaShooting(dd_MatrixPtr, dd_ErrorType *); /* 092 */ dd_rowrange dd_RayShooting(dd_MatrixPtr, dd_Arow intpt, dd_Arow direction); /* 092 */ /* 092, find the first inequality "hit" by a ray from an intpt. */ dd_boolean dd_ImplicitLinearity(dd_MatrixPtr, dd_rowrange, dd_Arow, dd_ErrorType *); /* 092 */ dd_rowset dd_ImplicitLinearityRows(dd_MatrixPtr, dd_ErrorType *); /* 092 */ int dd_FreeOfImplicitLinearity(dd_MatrixPtr, dd_Arow, dd_rowset *, dd_ErrorType *) ; /* 094 */ dd_boolean dd_MatrixCanonicalizeLinearity(dd_MatrixPtr *, dd_rowset *,dd_rowindex *, dd_ErrorType *); /* 094 */ dd_boolean dd_MatrixCanonicalize(dd_MatrixPtr *, dd_rowset *, dd_rowset *, dd_rowindex *, dd_ErrorType *); /* 094 */ dd_boolean dd_MatrixRedundancyRemove(dd_MatrixPtr *M, dd_rowset *redset,dd_rowindex *newpos, dd_ErrorType *); /* 094 */ dd_boolean dd_FindRelativeInterior(dd_MatrixPtr, dd_rowset *, dd_rowset *, dd_LPSolutionPtr *, dd_ErrorType *); /* 094 */ dd_boolean dd_ExistsRestrictedFace(dd_MatrixPtr, dd_rowset, dd_rowset, dd_ErrorType *); /* 0.94 */ dd_boolean dd_ExistsRestrictedFace2(dd_MatrixPtr, dd_rowset, dd_rowset, dd_LPSolutionPtr *, dd_ErrorType *); /* 0.94 */ dd_SetFamilyPtr dd_Matrix2Adjacency(dd_MatrixPtr, dd_ErrorType *); /* 093 */ dd_SetFamilyPtr dd_Matrix2WeakAdjacency(dd_MatrixPtr, dd_ErrorType *); /* 093a */ long dd_MatrixRank(dd_MatrixPtr, dd_rowset, dd_colset, dd_rowset *, dd_colset *); /* Matrix Basic Operations */ dd_MatrixPtr dd_MatrixCopy(dd_MatrixPtr); /* a new name for dd_CopyMatrix */ dd_MatrixPtr dd_CopyMatrix(dd_MatrixPtr); /* 090c, kept for compatibility */ dd_MatrixPtr dd_MatrixNormalizedCopy(dd_MatrixPtr); /* 094 */ dd_MatrixPtr dd_MatrixNormalizedSortedCopy(dd_MatrixPtr,dd_rowindex*); /* 094 */ dd_MatrixPtr dd_MatrixUniqueCopy(dd_MatrixPtr,dd_rowindex*); /* 094 */ dd_MatrixPtr dd_MatrixNormalizedSortedUniqueCopy(dd_MatrixPtr,dd_rowindex*); /* 094 */ dd_MatrixPtr dd_MatrixSortedUniqueCopy(dd_MatrixPtr,dd_rowindex*); /* 094 */ dd_MatrixPtr dd_MatrixAppend(dd_MatrixPtr, dd_MatrixPtr); /* a name for dd_AppendMatrix */ dd_MatrixPtr dd_AppendMatrix(dd_MatrixPtr, dd_MatrixPtr); /* 090c, kept for compatibility */ int dd_MatrixAppendTo(dd_MatrixPtr*, dd_MatrixPtr); /* 092 */ int dd_Remove(dd_MatrixPtr*, dd_rowrange); /* 092 */ dd_MatrixPtr dd_MatrixSubmatrix(dd_MatrixPtr, dd_rowset delset); /* 092 */ dd_MatrixPtr dd_MatrixSubmatrix2(dd_MatrixPtr, dd_rowset delset,dd_rowindex*); /* 094. It returns new row positions. */ dd_MatrixPtr dd_MatrixSubmatrix2L(dd_MatrixPtr, dd_rowset delset,dd_rowindex*); /* 094. Linearity shifted up. */ int dd_MatrixShiftupLinearity(dd_MatrixPtr *,dd_rowindex *); /* 094 */ int dd_MatrixRowRemove(dd_MatrixPtr *M, dd_rowrange r); /* 092 */ int dd_MatrixRowRemove2(dd_MatrixPtr *M, dd_rowrange r,dd_rowindex*); /* 094*/ int dd_MatrixRowsRemove(dd_MatrixPtr *M, dd_rowset delset); /* 094 */ int dd_MatrixRowsRemove2(dd_MatrixPtr *M, dd_rowset delset,dd_rowindex*); /* 094 */ /* input/output */ void dd_SetInputFile(FILE **f,dd_DataFileType inputfile, dd_ErrorType *); void dd_SetWriteFileName(dd_DataFileType, dd_DataFileType, char, dd_RepresentationType); void dd_WriteAmatrix(FILE *, dd_Amatrix, dd_rowrange, dd_colrange); void dd_WriteArow(FILE *f, dd_Arow a, dd_colrange); void dd_WriteBmatrix(FILE *, dd_colrange, dd_Bmatrix T); void dd_WriteMatrix(FILE *, dd_MatrixPtr); void dd_MatrixIntegerFilter(dd_MatrixPtr); void dd_WriteReal(FILE *, mytype); void dd_WriteNumber(FILE *f, mytype x); /* write a number depending on the arithmetic used. */ void dd_WritePolyFile(FILE *, dd_PolyhedraPtr); void dd_WriteRunningMode(FILE *, dd_PolyhedraPtr); void dd_WriteErrorMessages(FILE *, dd_ErrorType); void dd_WriteSetFamily(FILE *, dd_SetFamilyPtr); void dd_WriteSetFamilyCompressed(FILE *, dd_SetFamilyPtr); void dd_WriteProgramDescription(FILE *); void dd_WriteDDTimes(FILE *, dd_PolyhedraPtr); void dd_WriteTimes(FILE *, time_t, time_t); void dd_WriteIncidence(FILE *, dd_PolyhedraPtr); void dd_WriteAdjacency(FILE *, dd_PolyhedraPtr); void dd_WriteInputAdjacency(FILE *, dd_PolyhedraPtr); void dd_WriteInputIncidence(FILE *, dd_PolyhedraPtr); /* functions and types for LP solving */ dd_LPPtr dd_Matrix2LP(dd_MatrixPtr, dd_ErrorType *); /* Load a matrix to create an LP object. */ dd_LPPtr dd_Matrix2Feasibility(dd_MatrixPtr, dd_ErrorType *); /* Load a matrix to create an LP object for feasibility (obj == 0) .*/ /* 094 */ dd_LPPtr dd_Matrix2Feasibility2(dd_MatrixPtr, dd_rowset, dd_rowset, dd_ErrorType *); /* Load a matrix to create an LP object for feasibility with additional equality and strict inequality constraints. */ /* 094 */ dd_boolean dd_LPSolve(dd_LPPtr,dd_LPSolverType,dd_ErrorType *); dd_boolean dd_LPSolve0(dd_LPPtr,dd_LPSolverType,dd_ErrorType *); void dd_CrissCrossSolve(dd_LPPtr lp,dd_ErrorType *); void dd_DualSimplexSolve(dd_LPPtr lp,dd_ErrorType *); dd_LPPtr dd_MakeLPforInteriorFinding(dd_LPPtr); dd_LPSolutionPtr dd_CopyLPSolution(dd_LPPtr); /* 0.90c */ void dd_WriteLP(FILE *, dd_LPPtr); /* 092 */ dd_LPPtr dd_CreateLPData(dd_LPObjectiveType,dd_NumberType,dd_rowrange,dd_colrange); int dd_LPReverseRow(dd_LPPtr, dd_rowrange); /* reverse the i-th row (1 <= i <= no. of rows) */ int dd_LPReplaceRow(dd_LPPtr, dd_rowrange, dd_Arow); /* replace the i-th row (1 <= i <= no. of rows) */ dd_Arow dd_LPCopyRow(dd_LPPtr, dd_rowrange); /* copy the i-th row (1 <= i <= no. of rows) */ void dd_FreeLPData(dd_LPPtr); void dd_FreeLPSolution(dd_LPSolutionPtr); void dd_WriteLPResult(FILE *, dd_LPPtr, dd_ErrorType); void dd_WriteLPErrorMessages(FILE *, dd_ErrorType); void dd_WriteLPTimes(FILE *, dd_LPPtr); void dd_WriteLPStats(FILE *f); void dd_WriteLPMode(FILE *f); dd_MatrixPtr dd_FourierElimination(dd_MatrixPtr,dd_ErrorType *); dd_MatrixPtr dd_BlockElimination(dd_MatrixPtr, dd_colset, dd_ErrorType *); #if defined(__cplusplus) } #endif /* ---------- FUNCTIONS MEANT TO BE NON-PUBLIC ---------- */ void dd_QuickSort(dd_rowindex, long, long, dd_Amatrix, long); void dd_RandomPermutation(dd_rowindex, long, unsigned int seed); void dd_UniqueRows(dd_rowindex, long, long, dd_Amatrix, long, dd_rowset, long *); dd_boolean dd_DoubleDescription(dd_PolyhedraPtr, dd_ErrorType*); dd_boolean dd_DoubleDescription2(dd_PolyhedraPtr, dd_RowOrderType, dd_ErrorType *); void dd_FreeDDMemory0(dd_ConePtr); void dd_fread_rational_value (FILE *f, mytype value); void dd_sread_rational_value (const char *s, mytype value); void dd_AddNewHalfspace1(dd_ConePtr, dd_rowrange); void dd_AddNewHalfspace2(dd_ConePtr, dd_rowrange); void dd_AddRay(dd_ConePtr, mytype *); void dd_AddArtificialRay(dd_ConePtr); void dd_AValue(mytype*,dd_colrange, dd_Amatrix, mytype *, dd_rowrange); void dd_CheckAdjacency(dd_ConePtr, dd_RayPtr*, dd_RayPtr*, dd_boolean *); void dd_CheckEquality(dd_colrange, dd_RayPtr *, dd_RayPtr *, dd_boolean *); void dd_ComputeRowOrderVector(dd_ConePtr); void dd_ConditionalAddEdge(dd_ConePtr,dd_RayPtr, dd_RayPtr, dd_RayPtr); void dd_CopyArow(mytype *, mytype *, dd_colrange); void dd_CopyNormalizedAmatrix(mytype **, mytype **, dd_rowrange, dd_colrange); void dd_CopyNormalizedArow(mytype *, mytype *, dd_colrange); void dd_CopyAmatrix(mytype **, mytype **, dd_rowrange, dd_colrange); void dd_PermuteCopyAmatrix(mytype **, mytype **, dd_rowrange, dd_colrange, dd_rowindex); void dd_PermutePartialCopyAmatrix(mytype **, mytype **, dd_rowrange, dd_colrange, dd_rowindex,dd_rowrange, dd_rowrange); void dd_CopyBmatrix(dd_colrange, dd_Bmatrix T, dd_Bmatrix TCOPY); void dd_CopyRay(mytype *, dd_colrange, dd_RayPtr, dd_RepresentationType, dd_colindex); void dd_CreateInitialEdges(dd_ConePtr); void dd_CreateNewRay(dd_ConePtr, dd_RayPtr, dd_RayPtr, dd_rowrange); void dd_Eliminate(dd_ConePtr, dd_RayPtr*); void dd_EvaluateARay1(dd_rowrange, dd_ConePtr); void dd_EvaluateARay2(dd_rowrange, dd_ConePtr); void dd_FeasibilityIndices(long *, long *, dd_rowrange, dd_ConePtr); void dd_FindBasis(dd_ConePtr, long *rank); void dd_FindInitialRays(dd_ConePtr, dd_boolean *); void dd_ColumnReduce(dd_ConePtr); void dd_GaussianColumnPivot(dd_rowrange, dd_colrange, dd_Amatrix, dd_Bmatrix, dd_rowrange, dd_colrange); dd_boolean dd_LexSmaller(mytype *, mytype *, long); dd_boolean dd_LexLarger(mytype *, mytype *, long); dd_boolean dd_LexEqual(mytype *, mytype *, long); void dd_Normalize(dd_colrange, mytype *); void dd_MatrixIntegerFilter(dd_MatrixPtr); void dd_ProcessCommandLine(FILE*,dd_MatrixPtr, const char *); void dd_SelectNextHalfspace(dd_ConePtr, dd_rowset, dd_rowrange *); void dd_SelectPivot2(dd_rowrange,dd_colrange,dd_Amatrix, dd_Bmatrix,dd_RowOrderType,dd_rowindex, dd_rowset,dd_rowrange,dd_rowset, dd_colset,dd_rowrange *,dd_colrange *,dd_boolean *); void dd_SelectPreorderedNext(dd_ConePtr, dd_rowset, dd_rowrange *); void dd_SetInequalitySets(dd_ConePtr); void dd_SnapToInteger(mytype, mytype); void dd_StoreRay1(dd_ConePtr, mytype *, dd_boolean *); void dd_StoreRay2(dd_ConePtr, mytype *, dd_boolean *, dd_boolean *); void dd_TableauEntry(mytype *, dd_rowrange, dd_colrange, dd_Amatrix, dd_Bmatrix T, dd_rowrange, dd_colrange); void dd_UpdateEdges(dd_ConePtr, dd_RayPtr, dd_RayPtr); void dd_UpdateRowOrderVector(dd_ConePtr, dd_rowset PriorityRows); void dd_WriteRay(FILE *, dd_colrange, dd_RayPtr, dd_RepresentationType, dd_colindex); void dd_ZeroIndexSet(dd_rowrange, dd_colrange, dd_Amatrix, mytype *, dd_rowset); /* New functions to handle data loading, NON-PUBLIC */ dd_NumberType dd_GetNumberType(const char *); dd_ConePtr dd_ConeDataLoad(dd_PolyhedraPtr); dd_PolyhedraPtr dd_CreatePolyhedraData(dd_rowrange, dd_colrange); dd_boolean dd_InitializeConeData(dd_rowrange, dd_colrange, dd_ConePtr*); dd_boolean dd_AppendMatrix2Poly(dd_PolyhedraPtr*, dd_MatrixPtr); /* end of cddlib.h */ cddlib-094g/lib-src/cddcore.c000066400000000000000000001617561206770251100161030ustar00rootroot00000000000000/* cddcore.c: Core Procedures for cddlib written by Komei Fukuda, fukuda@ifor.math.ethz.ch Version 0.94g, March 23, 2012 */ /* cddlib : C-library of the double description method for computing all vertices and extreme rays of the polyhedron P= {x : b - A x >= 0}. Please read COPYING (GNU General Public Licence) and the manual cddlibman.tex for detail. */ #include "setoper.h" /* set operation library header (Ver. June 1, 2000 or later) */ #include "cdd.h" #include #include #include #include #include void dd_CheckAdjacency(dd_ConePtr cone, dd_RayPtr *RP1, dd_RayPtr *RP2, dd_boolean *adjacent) { dd_RayPtr TempRay; dd_boolean localdebug=dd_FALSE; static dd_rowset Face, Face1; static dd_rowrange last_m=0; if (last_m!=cone->m) { if (last_m>0){ set_free(Face); set_free(Face1); } set_initialize(&Face, cone->m); set_initialize(&Face1, cone->m); last_m=cone->m; } if (dd_debug) localdebug=dd_TRUE; *adjacent = dd_TRUE; set_int(Face1, (*RP1)->ZeroSet, (*RP2)->ZeroSet); set_int(Face, Face1, cone->AddedHalfspaces); if (set_card(Face)< cone->d - 2) { *adjacent = dd_FALSE; if (localdebug) { fprintf(stderr,"non adjacent: set_card(face) %ld < %ld = cone->d.\n", set_card(Face),cone->d); } return; } else if (cone->parent->NondegAssumed) { *adjacent = dd_TRUE; return; } TempRay = cone->FirstRay; while (TempRay != NULL && *adjacent) { if (TempRay != *RP1 && TempRay != *RP2) { set_int(Face1, TempRay->ZeroSet, cone->AddedHalfspaces); if (set_subset(Face, Face1)) *adjacent = dd_FALSE; } TempRay = TempRay->Next; } } void dd_Eliminate(dd_ConePtr cone, dd_RayPtr*Ptr) { /*eliminate the record pointed by Ptr^.Next*/ dd_RayPtr TempPtr; dd_colrange j; TempPtr = (*Ptr)->Next; (*Ptr)->Next = (*Ptr)->Next->Next; if (TempPtr == cone->FirstRay) /*Update the first pointer*/ cone->FirstRay = (*Ptr)->Next; if (TempPtr == cone->LastRay) /*Update the last pointer*/ cone->LastRay = *Ptr; /* Added, Marc Pfetsch 010219 */ for (j=0;j < cone->d;j++) dd_clear(TempPtr->Ray[j]); dd_clear(TempPtr->ARay); free(TempPtr->Ray); /* free the ray vector memory */ set_free(TempPtr->ZeroSet); /* free the ZeroSet memory */ free(TempPtr); /* free the dd_Ray structure memory */ cone->RayCount--; } void dd_SetInequalitySets(dd_ConePtr cone) { dd_rowrange i; set_emptyset(cone->GroundSet); set_emptyset(cone->EqualitySet); set_emptyset(cone->NonequalitySet); for (i = 1; i <= (cone->parent->m); i++){ set_addelem(cone->GroundSet, i); if (cone->parent->EqualityIndex[i]==1) set_addelem(cone->EqualitySet,i); if (cone->parent->EqualityIndex[i]==-1) set_addelem(cone->NonequalitySet,i); } } void dd_AValue(mytype *val, dd_colrange d_size, dd_Amatrix A, mytype *p, dd_rowrange i) { /*return the ith component of the vector A x p */ dd_colrange j; mytype x; dd_init(x); dd_set(*val,dd_purezero); /* Changed by Marc Pfetsch 010219 */ for (j = 0; j < d_size; j++){ dd_mul(x,A[i - 1][j], p[j]); dd_add(*val, *val, x); } dd_clear(x); } void dd_StoreRay1(dd_ConePtr cone, mytype *p, dd_boolean *feasible) { /* Original ray storing routine when RelaxedEnumeration is dd_FALSE */ dd_rowrange i,k,fii=cone->m+1; dd_colrange j; mytype temp; dd_RayPtr RR; dd_boolean localdebug=dd_debug; dd_init(temp); RR=cone->LastRay; *feasible = dd_TRUE; set_initialize(&(RR->ZeroSet),cone->m); for (j = 0; j < cone->d; j++){ dd_set(RR->Ray[j],p[j]); } for (i = 1; i <= cone->m; i++) { k=cone->OrderVector[i]; dd_AValue(&temp, cone->d, cone->A, p, k); if (localdebug) { fprintf(stderr,"dd_StoreRay1: dd_AValue at row %ld =",k); dd_WriteNumber(stderr, temp); fprintf(stderr,"\n"); } if (dd_EqualToZero(temp)) { set_addelem(RR->ZeroSet, k); if (localdebug) { fprintf(stderr,"recognized zero!\n"); } } if (dd_Negative(temp)){ if (localdebug) { fprintf(stderr,"recognized negative!\n"); } *feasible = dd_FALSE; if (fii>cone->m) fii=i; /* the first violating inequality index */ if (localdebug) { fprintf(stderr,"this ray is not feasible, neg comp = %ld\n", fii); dd_WriteNumber(stderr, temp); fprintf(stderr,"\n"); } } } RR->FirstInfeasIndex=fii; RR->feasible = *feasible; dd_clear(temp); } void dd_StoreRay2(dd_ConePtr cone, mytype *p, dd_boolean *feasible, dd_boolean *weaklyfeasible) /* Ray storing routine when RelaxedEnumeration is dd_TRUE. weaklyfeasible is true iff it is feasible with the strict_inequality conditions deleted. */ { dd_RayPtr RR; dd_rowrange i,k,fii=cone->m+1; dd_colrange j; mytype temp; dd_boolean localdebug=dd_debug; dd_init(temp); RR=cone->LastRay; if (dd_debug) localdebug=dd_TRUE; *feasible = dd_TRUE; *weaklyfeasible = dd_TRUE; set_initialize(&(RR->ZeroSet),cone->m); for (j = 0; j < cone->d; j++){ dd_set(RR->Ray[j],p[j]); } for (i = 1; i <= cone->m; i++) { k=cone->OrderVector[i]; dd_AValue(&temp, cone->d, cone->A, p, k); if (dd_EqualToZero(temp)){ set_addelem(RR->ZeroSet, k); if (cone->parent->EqualityIndex[k]==-1) *feasible=dd_FALSE; /* strict inequality required */ } /* if (temp < -zero){ */ if (dd_Negative(temp)){ *feasible = dd_FALSE; if (fii>cone->m && cone->parent->EqualityIndex[k]>=0) { fii=i; /* the first violating inequality index */ *weaklyfeasible=dd_FALSE; } } } RR->FirstInfeasIndex=fii; RR->feasible = *feasible; dd_clear(temp); } void dd_AddRay(dd_ConePtr cone, mytype *p) { dd_boolean feasible, weaklyfeasible; dd_colrange j; if (cone->FirstRay == NULL) { cone->FirstRay = (dd_RayPtr) malloc(sizeof(dd_RayType)); cone->FirstRay->Ray = (mytype *) calloc(cone->d, sizeof(mytype)); for (j=0; jd; j++) dd_init(cone->FirstRay->Ray[j]); dd_init(cone->FirstRay->ARay); if (dd_debug) fprintf(stderr,"Create the first ray pointer\n"); cone->LastRay = cone->FirstRay; cone->ArtificialRay->Next = cone->FirstRay; } else { cone->LastRay->Next = (dd_RayPtr) malloc(sizeof(dd_RayType)); cone->LastRay->Next->Ray = (mytype *) calloc(cone->d, sizeof(mytype)); for (j=0; jd; j++) dd_init(cone->LastRay->Next->Ray[j]); dd_init(cone->LastRay->Next->ARay); if (dd_debug) fprintf(stderr,"Create a new ray pointer\n"); cone->LastRay = cone->LastRay->Next; } cone->LastRay->Next = NULL; cone->RayCount++; cone->TotalRayCount++; if (dd_debug) { if (cone->TotalRayCount % 100 == 0) { fprintf(stderr,"*Rays (Total, Currently Active, Feasible) =%8ld%8ld%8ld\n", cone->TotalRayCount, cone->RayCount, cone->FeasibleRayCount); } } if (cone->parent->RelaxedEnumeration){ dd_StoreRay2(cone, p, &feasible, &weaklyfeasible); if (weaklyfeasible) (cone->WeaklyFeasibleRayCount)++; } else { dd_StoreRay1(cone, p, &feasible); if (feasible) (cone->WeaklyFeasibleRayCount)++; /* weaklyfeasible is equiv. to feasible in this case. */ } if (!feasible) return; else { (cone->FeasibleRayCount)++; } } void dd_AddArtificialRay(dd_ConePtr cone) { dd_Arow zerovector; dd_colrange j,d1; dd_boolean feasible; if (cone->d<=0) d1=1; else d1=cone->d; dd_InitializeArow(d1, &zerovector); if (cone->ArtificialRay != NULL) { fprintf(stderr,"Warning !!! FirstRay in not nil. Illegal Call\n"); free(zerovector); /* 086 */ return; } cone->ArtificialRay = (dd_RayPtr) malloc(sizeof(dd_RayType)); cone->ArtificialRay->Ray = (mytype *) calloc(d1, sizeof(mytype)); for (j=0; jArtificialRay->Ray[j]); dd_init(cone->ArtificialRay->ARay); if (dd_debug) fprintf(stderr,"Create the artificial ray pointer\n"); cone->LastRay=cone->ArtificialRay; dd_StoreRay1(cone, zerovector, &feasible); /* This stores a vector to the record pointed by cone->LastRay */ cone->ArtificialRay->Next = NULL; for (j = 0; j < d1; j++){ dd_clear(zerovector[j]); } free(zerovector); /* 086 */ } void dd_ConditionalAddEdge(dd_ConePtr cone, dd_RayPtr Ray1, dd_RayPtr Ray2, dd_RayPtr ValidFirstRay) { long it,it_row,fii1,fii2,fmin,fmax; dd_boolean adjacent,lastchance; dd_RayPtr TempRay,Rmin,Rmax; dd_AdjacencyType *NewEdge; dd_boolean localdebug=dd_FALSE; dd_rowset ZSmin, ZSmax; static dd_rowset Face, Face1; static dd_rowrange last_m=0; if (last_m!=cone->m) { if (last_m>0){ set_free(Face); set_free(Face1); } set_initialize(&Face, cone->m); set_initialize(&Face1, cone->m); last_m=cone->m; } fii1=Ray1->FirstInfeasIndex; fii2=Ray2->FirstInfeasIndex; if (fii1ZeroSet; ZSmax = Rmax->ZeroSet; if (localdebug) { fprintf(stderr,"dd_ConditionalAddEdge: FMIN = %ld (row%ld) FMAX=%ld\n", fmin, cone->OrderVector[fmin], fmax); } if (fmin==fmax){ if (localdebug) fprintf(stderr,"dd_ConditionalAddEdge: equal FII value-> No edge added\n"); } else if (set_member(cone->OrderVector[fmin],ZSmax)){ if (localdebug) fprintf(stderr,"dd_ConditionalAddEdge: No strong separation -> No edge added\n"); } else { /* the pair will be separated at the iteration fmin */ lastchance=dd_TRUE; /* flag to check it will be the last chance to store the edge candidate */ set_int(Face1, ZSmax, ZSmin); (cone->count_int)++; if (localdebug){ fprintf(stderr,"Face: "); for (it=1; it<=cone->m; it++) { it_row=cone->OrderVector[it]; if (set_member(it_row, Face1)) fprintf(stderr,"%ld ",it_row); } fprintf(stderr,"\n"); } for (it=cone->Iteration+1; it < fmin && lastchance; it++){ it_row=cone->OrderVector[it]; if (cone->parent->EqualityIndex[it_row]>=0 && set_member(it_row, Face1)){ lastchance=dd_FALSE; (cone->count_int_bad)++; if (localdebug){ fprintf(stderr,"There will be another chance iteration %ld (row %ld) to store the pair\n", it, it_row); } } } if (lastchance){ adjacent = dd_TRUE; (cone->count_int_good)++; /* adjacent checking */ set_int(Face, Face1, cone->AddedHalfspaces); if (localdebug){ fprintf(stderr,"Check adjacency\n"); fprintf(stderr,"AddedHalfspaces: "); set_fwrite(stderr,cone->AddedHalfspaces); fprintf(stderr,"Face: "); for (it=1; it<=cone->m; it++) { it_row=cone->OrderVector[it]; if (set_member(it_row, Face)) fprintf(stderr,"%ld ",it_row); } fprintf(stderr,"\n"); } if (set_card(Face)< cone->d - 2) { adjacent = dd_FALSE; } else if (cone->parent->NondegAssumed) { adjacent = dd_TRUE; } else{ TempRay = ValidFirstRay; /* the first ray for adjacency checking */ while (TempRay != NULL && adjacent) { if (TempRay != Ray1 && TempRay != Ray2) { set_int(Face1, TempRay->ZeroSet, cone->AddedHalfspaces); if (set_subset(Face, Face1)) { if (localdebug) set_fwrite(stderr,Face1); adjacent = dd_FALSE; } } TempRay = TempRay->Next; } } if (adjacent){ if (localdebug) fprintf(stderr,"The pair is adjacent and the pair must be stored for iteration %ld (row%ld)\n", fmin, cone->OrderVector[fmin]); NewEdge=(dd_AdjacencyPtr) malloc(sizeof *NewEdge); NewEdge->Ray1=Rmax; /* save the one remains in iteration fmin in the first */ NewEdge->Ray2=Rmin; /* save the one deleted in iteration fmin in the second */ NewEdge->Next=NULL; (cone->EdgeCount)++; (cone->TotalEdgeCount)++; if (cone->Edges[fmin]==NULL){ cone->Edges[fmin]=NewEdge; if (localdebug) fprintf(stderr,"Create a new edge list of %ld\n", fmin); }else{ NewEdge->Next=cone->Edges[fmin]; cone->Edges[fmin]=NewEdge; } } } } } void dd_CreateInitialEdges(dd_ConePtr cone) { dd_RayPtr Ptr1, Ptr2; dd_rowrange fii1,fii2; long count=0; dd_boolean adj,localdebug=dd_FALSE; cone->Iteration=cone->d; /* CHECK */ if (cone->FirstRay ==NULL || cone->LastRay==NULL){ /* fprintf(stderr,"Warning: dd_ CreateInitialEdges called with NULL pointer(s)\n"); */ goto _L99; } Ptr1=cone->FirstRay; while(Ptr1!=cone->LastRay && Ptr1!=NULL){ fii1=Ptr1->FirstInfeasIndex; Ptr2=Ptr1->Next; while(Ptr2!=NULL){ fii2=Ptr2->FirstInfeasIndex; count++; if (localdebug) fprintf(stderr,"dd_ CreateInitialEdges: edge %ld \n",count); dd_CheckAdjacency(cone, &Ptr1, &Ptr2, &adj); if (fii1!=fii2 && adj) dd_ConditionalAddEdge(cone, Ptr1, Ptr2, cone->FirstRay); Ptr2=Ptr2->Next; } Ptr1=Ptr1->Next; } _L99:; } void dd_UpdateEdges(dd_ConePtr cone, dd_RayPtr RRbegin, dd_RayPtr RRend) /* This procedure must be called after the ray list is sorted by dd_EvaluateARay2 so that FirstInfeasIndex's are monotonically increasing. */ { dd_RayPtr Ptr1, Ptr2begin, Ptr2; dd_rowrange fii1; dd_boolean ptr2found,quit,localdebug=dd_FALSE; long count=0,pos1, pos2; float workleft,prevworkleft=110.0,totalpairs; totalpairs=(cone->ZeroRayCount-1.0)*(cone->ZeroRayCount-2.0)+1.0; Ptr2begin = NULL; if (RRbegin ==NULL || RRend==NULL){ if (1) fprintf(stderr,"Warning: dd_UpdateEdges called with NULL pointer(s)\n"); goto _L99; } Ptr1=RRbegin; pos1=1; do{ ptr2found=dd_FALSE; quit=dd_FALSE; fii1=Ptr1->FirstInfeasIndex; pos2=2; for (Ptr2=Ptr1->Next; !ptr2found && !quit; Ptr2=Ptr2->Next,pos2++){ if (Ptr2->FirstInfeasIndex > fii1){ Ptr2begin=Ptr2; ptr2found=dd_TRUE; } else if (Ptr2==RRend) quit=dd_TRUE; } if (ptr2found){ quit=dd_FALSE; for (Ptr2=Ptr2begin; !quit ; Ptr2=Ptr2->Next){ count++; if (localdebug) fprintf(stderr,"dd_UpdateEdges: edge %ld \n",count); dd_ConditionalAddEdge(cone, Ptr1,Ptr2,RRbegin); if (Ptr2==RRend || Ptr2->Next==NULL) quit=dd_TRUE; } } Ptr1=Ptr1->Next; pos1++; workleft = 100.0 * (cone->ZeroRayCount-pos1) * (cone->ZeroRayCount - pos1-1.0) / totalpairs; if (cone->ZeroRayCount>=500 && dd_debug && pos1%10 ==0 && prevworkleft-workleft>=10 ) { fprintf(stderr,"*Work of iteration %5ld(/%ld): %4ld/%4ld => %4.1f%% left\n", cone->Iteration, cone->m, pos1, cone->ZeroRayCount, workleft); prevworkleft=workleft; } }while(Ptr1!=RRend && Ptr1!=NULL); _L99:; } void dd_FreeDDMemory0(dd_ConePtr cone) { dd_RayPtr Ptr, PrevPtr; long count; dd_colrange j; dd_boolean localdebug=dd_FALSE; /* THIS SHOULD BE REWRITTEN carefully */ PrevPtr=cone->ArtificialRay; if (PrevPtr!=NULL){ count=0; for (Ptr=cone->ArtificialRay->Next; Ptr!=NULL; Ptr=Ptr->Next){ /* Added Marc Pfetsch 2/19/01 */ for (j=0;j < cone->d;j++) dd_clear(PrevPtr->Ray[j]); dd_clear(PrevPtr->ARay); free(PrevPtr->Ray); free(PrevPtr->ZeroSet); free(PrevPtr); count++; PrevPtr=Ptr; }; cone->FirstRay=NULL; /* Added Marc Pfetsch 010219 */ for (j=0;j < cone->d;j++) dd_clear(cone->LastRay->Ray[j]); dd_clear(cone->LastRay->ARay); free(cone->LastRay->Ray); cone->LastRay->Ray = NULL; set_free(cone->LastRay->ZeroSet); cone->LastRay->ZeroSet = NULL; free(cone->LastRay); cone->LastRay = NULL; cone->ArtificialRay=NULL; if (localdebug) fprintf(stderr,"%ld ray storage spaces freed\n",count); } /* must add (by Sato) */ free(cone->Edges); set_free(cone->GroundSet); set_free(cone->EqualitySet); set_free(cone->NonequalitySet); set_free(cone->AddedHalfspaces); set_free(cone->WeaklyAddedHalfspaces); set_free(cone->InitialHalfspaces); free(cone->InitialRayIndex); free(cone->OrderVector); free(cone->newcol); /* Fixed by Shawn Rusaw. Originally it was cone->d instead of cone->d_alloc */ dd_FreeBmatrix(cone->d_alloc,cone->B); dd_FreeBmatrix(cone->d_alloc,cone->Bsave); /* Fixed by Marc Pfetsch 010219*/ dd_FreeAmatrix(cone->m_alloc,cone->d_alloc,cone->A); cone->A = NULL; free(cone); } void dd_FreeDDMemory(dd_PolyhedraPtr poly) { dd_FreeDDMemory0(poly->child); poly->child=NULL; } void dd_FreePolyhedra(dd_PolyhedraPtr poly) { dd_bigrange i; if ((poly)->child != NULL) dd_FreeDDMemory(poly); dd_FreeAmatrix((poly)->m_alloc,poly->d_alloc, poly->A); dd_FreeArow((poly)->d_alloc,(poly)->c); free((poly)->EqualityIndex); if (poly->AincGenerated){ for (i=1; i<=poly->m1; i++){ set_free(poly->Ainc[i-1]); } free(poly->Ainc); set_free(poly->Ared); set_free(poly->Adom); poly->Ainc=NULL; } free(poly); } void dd_Normalize(dd_colrange d_size, mytype *V) { long j,jmin=0; mytype temp,min; dd_boolean nonzerofound=dd_FALSE; if (d_size>0){ dd_init(min); dd_init(temp); dd_abs(min,V[0]); jmin=0; /* set the minmizer to 0 */ if (dd_Positive(min)) nonzerofound=dd_TRUE; for (j = 1; j < d_size; j++) { dd_abs(temp,V[j]); if (dd_Positive(temp)){ if (!nonzerofound || dd_Smaller(temp,min)){ nonzerofound=dd_TRUE; dd_set(min, temp); jmin=j; } } } if (dd_Positive(min)){ for (j = 0; j < d_size; j++) dd_div(V[j], V[j], min); } dd_clear(min); dd_clear(temp); } } void dd_ZeroIndexSet(dd_rowrange m_size, dd_colrange d_size, dd_Amatrix A, mytype *x, dd_rowset ZS) { dd_rowrange i; mytype temp; /* Changed by Marc Pfetsch 010219 */ dd_init(temp); set_emptyset(ZS); for (i = 1; i <= m_size; i++) { dd_AValue(&temp, d_size, A, x, i); if (dd_EqualToZero(temp)) set_addelem(ZS, i); } /* Changed by Marc Pfetsch 010219 */ dd_clear(temp); } void dd_CopyBmatrix(dd_colrange d_size, dd_Bmatrix T, dd_Bmatrix TCOPY) { dd_rowrange i; dd_colrange j; for (i=0; i < d_size; i++) { for (j=0; j < d_size; j++) { dd_set(TCOPY[i][j],T[i][j]); } } } void dd_CopyArow(mytype *acopy, mytype *a, dd_colrange d) { dd_colrange j; for (j = 0; j < d; j++) { dd_set(acopy[j],a[j]); } } void dd_CopyNormalizedArow(mytype *acopy, mytype *a, dd_colrange d) { dd_CopyArow(acopy, a, d); dd_Normalize(d,acopy); } void dd_CopyAmatrix(mytype **Acopy, mytype **A, dd_rowrange m, dd_colrange d) { dd_rowrange i; for (i = 0; i< m; i++) { dd_CopyArow(Acopy[i],A[i],d); } } void dd_CopyNormalizedAmatrix(mytype **Acopy, mytype **A, dd_rowrange m, dd_colrange d) { dd_rowrange i; for (i = 0; i< m; i++) { dd_CopyNormalizedArow(Acopy[i],A[i],d); } } void dd_PermuteCopyAmatrix(mytype **Acopy, mytype **A, dd_rowrange m, dd_colrange d, dd_rowindex roworder) { dd_rowrange i; for (i = 1; i<= m; i++) { dd_CopyArow(Acopy[i-1],A[roworder[i]-1],d); } } void dd_PermutePartialCopyAmatrix(mytype **Acopy, mytype **A, dd_rowrange m, dd_colrange d, dd_rowindex roworder,dd_rowrange p, dd_rowrange q) { /* copy the rows of A whose roworder is positive. roworder[i] is the row index of the copied row. */ dd_rowrange i,k; k=0; for (i = 1; i<= m; i++) { if (roworder[i]>0) dd_CopyArow(Acopy[roworder[i]-1],A[i-1],d); } } void dd_InitializeArow(dd_colrange d,dd_Arow *a) { dd_colrange j; if (d>0) *a=(mytype*) calloc(d,sizeof(mytype)); for (j = 0; j < d; j++) { dd_init((*a)[j]); } } void dd_InitializeAmatrix(dd_rowrange m,dd_colrange d,dd_Amatrix *A) { dd_rowrange i; if (m>0) (*A)=(mytype**) calloc(m,sizeof(mytype*)); for (i = 0; i < m; i++) { dd_InitializeArow(d,&((*A)[i])); } } void dd_FreeAmatrix(dd_rowrange m,dd_colrange d,dd_Amatrix A) { dd_rowrange i; dd_colrange j; for (i = 0; i < m; i++) { for (j = 0; j < d; j++) { dd_clear(A[i][j]); } } if (A!=NULL) { for (i = 0; i < m; i++) { free(A[i]); } free(A); } } void dd_FreeArow(dd_colrange d, dd_Arow a) { dd_colrange j; for (j = 0; j < d; j++) { dd_clear(a[j]); } free(a); } void dd_InitializeBmatrix(dd_colrange d,dd_Bmatrix *B) { dd_colrange i,j; (*B)=(mytype**) calloc(d,sizeof(mytype*)); for (j = 0; j < d; j++) { (*B)[j]=(mytype*) calloc(d,sizeof(mytype)); } for (i = 0; i < d; i++) { for (j = 0; j < d; j++) { dd_init((*B)[i][j]); } } } void dd_FreeBmatrix(dd_colrange d,dd_Bmatrix B) { dd_colrange i,j; for (i = 0; i < d; i++) { for (j = 0; j < d; j++) { dd_clear(B[i][j]); } } if (B!=NULL) { for (j = 0; j < d; j++) { free(B[j]); } free(B); } } dd_SetFamilyPtr dd_CreateSetFamily(dd_bigrange fsize, dd_bigrange ssize) { dd_SetFamilyPtr F; dd_bigrange i,f0,f1,s0,s1; if (fsize<=0) { f0=0; f1=1; /* if fsize<=0, the fsize is set to zero and the created size is one */ } else { f0=fsize; f1=fsize; } if (ssize<=0) { s0=0; s1=1; /* if ssize<=0, the ssize is set to zero and the created size is one */ } else { s0=ssize; s1=ssize; } F=(dd_SetFamilyPtr) malloc (sizeof(dd_SetFamilyType)); F->set=(set_type*) calloc(f1,sizeof(set_type)); for (i=0; iset[i]), s1); } F->famsize=f0; F->setsize=s0; return F; } void dd_FreeSetFamily(dd_SetFamilyPtr F) { dd_bigrange i,f1; if (F!=NULL){ if (F->famsize<=0) f1=1; else f1=F->famsize; /* the smallest created size is one */ for (i=0; iset[i]); } free(F->set); free(F); } } dd_MatrixPtr dd_CreateMatrix(dd_rowrange m_size,dd_colrange d_size) { dd_MatrixPtr M; dd_rowrange m0,m1; dd_colrange d0,d1; if (m_size<=0){ m0=0; m1=1; /* if m_size <=0, the number of rows is set to zero, the actual size is 1 */ } else { m0=m_size; m1=m_size; } if (d_size<=0){ d0=0; d1=1; /* if d_size <=0, the number of cols is set to zero, the actual size is 1 */ } else { d0=d_size; d1=d_size; } M=(dd_MatrixPtr) malloc (sizeof(dd_MatrixType)); dd_InitializeAmatrix(m1,d1,&(M->matrix)); dd_InitializeArow(d1,&(M->rowvec)); M->rowsize=m0; set_initialize(&(M->linset), m1); M->colsize=d0; M->objective=dd_LPnone; M->numbtype=dd_Unknown; M->representation=dd_Unspecified; return M; } void dd_FreeMatrix(dd_MatrixPtr M) { dd_rowrange m1; dd_colrange d1; if (M!=NULL) { if (M->rowsize<=0) m1=1; else m1=M->rowsize; if (M->colsize<=0) d1=1; else d1=M->colsize; if (M!=NULL) { dd_FreeAmatrix(m1,d1,M->matrix); dd_FreeArow(d1,M->rowvec); set_free(M->linset); free(M); } } } void dd_SetToIdentity(dd_colrange d_size, dd_Bmatrix T) { dd_colrange j1, j2; for (j1 = 1; j1 <= d_size; j1++) { for (j2 = 1; j2 <= d_size; j2++) { if (j1 == j2) dd_set(T[j1 - 1][j2 - 1],dd_one); else dd_set(T[j1 - 1][j2 - 1],dd_purezero); } } } void dd_ColumnReduce(dd_ConePtr cone) { dd_colrange j,j1=0; dd_rowrange i; dd_boolean localdebug=dd_FALSE; for (j=1;j<=cone->d;j++) { if (cone->InitialRayIndex[j]>0){ j1=j1+1; if (j1m; i++) dd_set(cone->A[i-1][j1-1],cone->A[i-1][j-1]); cone->newcol[j]=j1; if (localdebug){ fprintf(stderr,"shifting the column %ld to column %ld\n", j, j1); } /* shifting forward */ } } else { cone->newcol[j]=0; if (localdebug) { fprintf(stderr,"a generator (or an equation) of the linearity space: "); for (i=1; i<=cone->d; i++) dd_WriteNumber(stderr, cone->B[i-1][j-1]); fprintf(stderr,"\n"); } } } cone->d=j1; /* update the dimension. cone->d_orig remembers the old. */ dd_CopyBmatrix(cone->d_orig, cone->B, cone->Bsave); /* save the dual basis inverse as Bsave. This matrix contains the linearity space generators. */ cone->ColReduced=dd_TRUE; } long dd_MatrixRank(dd_MatrixPtr M, dd_rowset ignoredrows, dd_colset ignoredcols, dd_rowset *rowbasis, dd_colset *colbasis) { dd_boolean stop, chosen, localdebug=dd_debug; dd_rowset NopivotRow,PriorityRow; dd_colset ColSelected; dd_Bmatrix B; dd_rowindex roworder; dd_rowrange r; dd_colrange s; long rank; rank = 0; stop = dd_FALSE; set_initialize(&ColSelected, M->colsize); set_initialize(&NopivotRow, M->rowsize); set_initialize(rowbasis, M->rowsize); set_initialize(colbasis, M->colsize); set_initialize(&PriorityRow, M->rowsize); set_copy(NopivotRow,ignoredrows); set_copy(ColSelected,ignoredcols); dd_InitializeBmatrix(M->colsize, &B); dd_SetToIdentity(M->colsize, B); roworder=(long *)calloc(M->rowsize+1,sizeof(long)); for (r=0; rrowsize; r++){roworder[r+1]=r+1; } do { /* Find a set of rows for a basis */ dd_SelectPivot2(M->rowsize, M->colsize,M->matrix,B,dd_MinIndex,roworder, PriorityRow,M->rowsize, NopivotRow, ColSelected, &r, &s, &chosen); if (dd_debug && chosen) fprintf(stderr,"Procedure dd_MatrixRank: pivot on (r,s) =(%ld, %ld).\n", r, s); if (chosen) { set_addelem(NopivotRow, r); set_addelem(*rowbasis, r); set_addelem(ColSelected, s); set_addelem(*colbasis, s); rank++; dd_GaussianColumnPivot(M->rowsize, M->colsize, M->matrix, B, r, s); if (localdebug) dd_WriteBmatrix(stderr,M->colsize,B); } else { stop=dd_TRUE; } if (rank==M->colsize) stop = dd_TRUE; } while (!stop); dd_FreeBmatrix(M->colsize,B); free(roworder); set_free(ColSelected); set_free(NopivotRow); set_free(PriorityRow); return rank; } void dd_FindBasis(dd_ConePtr cone, long *rank) { dd_boolean stop, chosen, localdebug=dd_debug; dd_rowset NopivotRow; dd_colset ColSelected; dd_rowrange r; dd_colrange j,s; *rank = 0; stop = dd_FALSE; for (j=0;j<=cone->d;j++) cone->InitialRayIndex[j]=0; set_emptyset(cone->InitialHalfspaces); set_initialize(&ColSelected, cone->d); set_initialize(&NopivotRow, cone->m); set_copy(NopivotRow,cone->NonequalitySet); dd_SetToIdentity(cone->d, cone->B); do { /* Find a set of rows for a basis */ dd_SelectPivot2(cone->m, cone->d,cone->A,cone->B,cone->HalfspaceOrder,cone->OrderVector, cone->EqualitySet,cone->m, NopivotRow, ColSelected, &r, &s, &chosen); if (dd_debug && chosen) fprintf(stderr,"Procedure dd_FindBasis: pivot on (r,s) =(%ld, %ld).\n", r, s); if (chosen) { set_addelem(cone->InitialHalfspaces, r); set_addelem(NopivotRow, r); set_addelem(ColSelected, s); cone->InitialRayIndex[s]=r; /* cone->InitialRayIndex[s] stores the corr. row index */ (*rank)++; dd_GaussianColumnPivot(cone->m, cone->d, cone->A, cone->B, r, s); if (localdebug) dd_WriteBmatrix(stderr,cone->d,cone->B); } else { stop=dd_TRUE; } if (*rank==cone->d) stop = dd_TRUE; } while (!stop); set_free(ColSelected); set_free(NopivotRow); } void dd_FindInitialRays(dd_ConePtr cone, dd_boolean *found) { dd_rowset CandidateRows; dd_rowrange i; long rank; dd_RowOrderType roworder_save=dd_LexMin; *found = dd_FALSE; set_initialize(&CandidateRows, cone->m); if (cone->parent->InitBasisAtBottom==dd_TRUE) { roworder_save=cone->HalfspaceOrder; cone->HalfspaceOrder=dd_MaxIndex; cone->PreOrderedRun=dd_FALSE; } else cone->PreOrderedRun=dd_TRUE; if (dd_debug) dd_WriteBmatrix(stderr, cone->d, cone->B); for (i = 1; i <= cone->m; i++) if (!set_member(i,cone->NonequalitySet)) set_addelem(CandidateRows, i); /*all rows not in NonequalitySet are candidates for initial cone*/ dd_FindBasis(cone, &rank); if (dd_debug) dd_WriteBmatrix(stderr, cone->d, cone->B); if (dd_debug) fprintf(stderr,"dd_FindInitialRays: rank of Amatrix = %ld\n", rank); cone->LinearityDim=cone->d - rank; if (dd_debug) fprintf(stderr,"Linearity Dimension = %ld\n", cone->LinearityDim); if (cone->LinearityDim > 0) { dd_ColumnReduce(cone); dd_FindBasis(cone, &rank); } if (!set_subset(cone->EqualitySet,cone->InitialHalfspaces)) { if (dd_debug) { fprintf(stderr,"Equality set is dependent. Equality Set and an initial basis:\n"); set_fwrite(stderr,cone->EqualitySet); set_fwrite(stderr,cone->InitialHalfspaces); }; } *found = dd_TRUE; set_free(CandidateRows); if (cone->parent->InitBasisAtBottom==dd_TRUE) { cone->HalfspaceOrder=roworder_save; } if (cone->HalfspaceOrder==dd_MaxCutoff|| cone->HalfspaceOrder==dd_MinCutoff|| cone->HalfspaceOrder==dd_MixCutoff){ cone->PreOrderedRun=dd_FALSE; } else cone->PreOrderedRun=dd_TRUE; } void dd_CheckEquality(dd_colrange d_size, dd_RayPtr*RP1, dd_RayPtr*RP2, dd_boolean *equal) { long j; if (dd_debug) fprintf(stderr,"Check equality of two rays\n"); *equal = dd_TRUE; j = 1; while (j <= d_size && *equal) { if (!dd_Equal((*RP1)->Ray[j - 1],(*RP2)->Ray[j - 1])) *equal = dd_FALSE; j++; } if (*equal) fprintf(stderr,"Equal records found !!!!\n"); } void dd_CreateNewRay(dd_ConePtr cone, dd_RayPtr Ptr1, dd_RayPtr Ptr2, dd_rowrange ii) { /*Create a new ray by taking a linear combination of two rays*/ dd_colrange j; mytype a1, a2, v1, v2; static dd_Arow NewRay; static dd_colrange last_d=0; dd_boolean localdebug=dd_debug; dd_init(a1); dd_init(a2); dd_init(v1); dd_init(v2); if (last_d!=cone->d){ if (last_d>0) { for (j=0; jd,sizeof(mytype)); for (j=0; jd; j++) dd_init(NewRay[j]); last_d=cone->d; } dd_AValue(&a1, cone->d, cone->A, Ptr1->Ray, ii); dd_AValue(&a2, cone->d, cone->A, Ptr2->Ray, ii); if (localdebug) { fprintf(stderr,"CreatNewRay: Ray1 ="); dd_WriteArow(stderr, Ptr1->Ray, cone->d); fprintf(stderr,"CreatNewRay: Ray2 ="); dd_WriteArow(stderr, Ptr2->Ray, cone->d); } dd_abs(v1,a1); dd_abs(v2,a2); if (localdebug){ fprintf(stderr,"dd_AValue1 and ABS"); dd_WriteNumber(stderr,a1); dd_WriteNumber(stderr,v1); fprintf(stderr,"\n"); fprintf(stderr,"dd_AValue2 and ABS"); dd_WriteNumber(stderr,a2); dd_WriteNumber(stderr,v2); fprintf(stderr,"\n"); } for (j = 0; j < cone->d; j++){ dd_LinearComb(NewRay[j], Ptr1->Ray[j],v2,Ptr2->Ray[j],v1); } if (localdebug) { fprintf(stderr,"CreatNewRay: New ray ="); dd_WriteArow(stderr, NewRay, cone->d); } dd_Normalize(cone->d, NewRay); if (localdebug) { fprintf(stderr,"CreatNewRay: dd_Normalized ray ="); dd_WriteArow(stderr, NewRay, cone->d); } dd_AddRay(cone, NewRay); dd_clear(a1); dd_clear(a2); dd_clear(v1); dd_clear(v2); } void dd_EvaluateARay1(dd_rowrange i, dd_ConePtr cone) /* Evaluate the ith component of the vector A x RD.Ray and rearrange the linked list so that the infeasible rays with respect to i will be placed consecutively from First */ { dd_colrange j; mytype temp,tnext; dd_RayPtr Ptr, PrevPtr, TempPtr; dd_init(temp); dd_init(tnext); Ptr = cone->FirstRay; PrevPtr = cone->ArtificialRay; if (PrevPtr->Next != Ptr) { fprintf(stderr,"Error. Artificial Ray does not point to FirstRay!!!\n"); } while (Ptr != NULL) { dd_set(temp,dd_purezero); for (j = 0; j < cone->d; j++){ dd_mul(tnext,cone->A[i - 1][j],Ptr->Ray[j]); dd_add(temp,temp,tnext); } dd_set(Ptr->ARay,temp); /* if ( temp <= -zero && Ptr != cone->FirstRay) {*/ if ( dd_Negative(temp) && Ptr != cone->FirstRay) { /* fprintf(stderr,"Moving an infeasible record w.r.t. %ld to FirstRay\n",i); */ if (Ptr==cone->LastRay) cone->LastRay=PrevPtr; TempPtr=Ptr; Ptr = Ptr->Next; PrevPtr->Next = Ptr; cone->ArtificialRay->Next = TempPtr; TempPtr->Next = cone->FirstRay; cone->FirstRay = TempPtr; } else { PrevPtr = Ptr; Ptr = Ptr->Next; } } dd_clear(temp); dd_clear(tnext); } void dd_EvaluateARay2(dd_rowrange i, dd_ConePtr cone) /* Evaluate the ith component of the vector A x RD.Ray and rearrange the linked list so that the infeasible rays with respect to i will be placed consecutively from First. Also for all feasible rays, "positive" rays and "zero" rays will be placed consecutively. */ { dd_colrange j; mytype temp,tnext; dd_RayPtr Ptr, NextPtr; dd_boolean zerofound=dd_FALSE,negfound=dd_FALSE,posfound=dd_FALSE; if (cone==NULL || cone->TotalRayCount<=0) goto _L99; dd_init(temp); dd_init(tnext); cone->PosHead=NULL;cone->ZeroHead=NULL;cone->NegHead=NULL; cone->PosLast=NULL;cone->ZeroLast=NULL;cone->NegLast=NULL; Ptr = cone->FirstRay; while (Ptr != NULL) { NextPtr=Ptr->Next; /* remember the Next record */ Ptr->Next=NULL; /* then clear the Next pointer */ dd_set(temp,dd_purezero); for (j = 0; j < cone->d; j++){ dd_mul(tnext,cone->A[i - 1][j],Ptr->Ray[j]); dd_add(temp,temp,tnext); } dd_set(Ptr->ARay,temp); /* if ( temp < -zero) {*/ if ( dd_Negative(temp)) { if (!negfound){ negfound=dd_TRUE; cone->NegHead=Ptr; cone->NegLast=Ptr; } else{ Ptr->Next=cone->NegHead; cone->NegHead=Ptr; } } /* else if (temp > zero){*/ else if (dd_Positive(temp)){ if (!posfound){ posfound=dd_TRUE; cone->PosHead=Ptr; cone->PosLast=Ptr; } else{ Ptr->Next=cone->PosHead; cone->PosHead=Ptr; } } else { if (!zerofound){ zerofound=dd_TRUE; cone->ZeroHead=Ptr; cone->ZeroLast=Ptr; } else{ Ptr->Next=cone->ZeroHead; cone->ZeroHead=Ptr; } } Ptr=NextPtr; } /* joining three neg, pos and zero lists */ if (negfound){ /* -list nonempty */ cone->FirstRay=cone->NegHead; if (posfound){ /* -list & +list nonempty */ cone->NegLast->Next=cone->PosHead; if (zerofound){ /* -list, +list, 0list all nonempty */ cone->PosLast->Next=cone->ZeroHead; cone->LastRay=cone->ZeroLast; } else{ /* -list, +list nonempty but 0list empty */ cone->LastRay=cone->PosLast; } } else{ /* -list nonempty & +list empty */ if (zerofound){ /* -list,0list nonempty & +list empty */ cone->NegLast->Next=cone->ZeroHead; cone->LastRay=cone->ZeroLast; } else { /* -list nonempty & +list,0list empty */ cone->LastRay=cone->NegLast; } } } else if (posfound){ /* -list empty & +list nonempty */ cone->FirstRay=cone->PosHead; if (zerofound){ /* -list empty & +list,0list nonempty */ cone->PosLast->Next=cone->ZeroHead; cone->LastRay=cone->ZeroLast; } else{ /* -list,0list empty & +list nonempty */ cone->LastRay=cone->PosLast; } } else{ /* -list,+list empty & 0list nonempty */ cone->FirstRay=cone->ZeroHead; cone->LastRay=cone->ZeroLast; } cone->ArtificialRay->Next=cone->FirstRay; cone->LastRay->Next=NULL; dd_clear(temp); dd_clear(tnext); _L99:; } void dd_DeleteNegativeRays(dd_ConePtr cone) /* Eliminate the infeasible rays with respect to i which are supposed to be consecutive from the head of the dd_Ray list, and sort the zero list assumed to be consecutive at the end of the list. */ { dd_rowrange fii,fiitest; mytype temp; dd_RayPtr Ptr, PrevPtr,NextPtr,ZeroPtr1,ZeroPtr0; dd_boolean found, completed, zerofound=dd_FALSE,negfound=dd_FALSE,posfound=dd_FALSE; dd_boolean localdebug=dd_FALSE; dd_init(temp); cone->PosHead=NULL;cone->ZeroHead=NULL;cone->NegHead=NULL; cone->PosLast=NULL;cone->ZeroLast=NULL;cone->NegLast=NULL; /* Delete the infeasible rays */ PrevPtr= cone->ArtificialRay; Ptr = cone->FirstRay; if (PrevPtr->Next != Ptr) fprintf(stderr,"Error at dd_DeleteNegativeRays: ArtificialRay does not point the FirstRay.\n"); completed=dd_FALSE; while (Ptr != NULL && !completed){ /* if ( (Ptr->ARay) < -zero ){ */ if ( dd_Negative(Ptr->ARay)){ dd_Eliminate(cone, &PrevPtr); Ptr=PrevPtr->Next; } else{ completed=dd_TRUE; } } /* Sort the zero rays */ Ptr = cone->FirstRay; cone->ZeroRayCount=0; while (Ptr != NULL) { NextPtr=Ptr->Next; /* remember the Next record */ dd_set(temp,Ptr->ARay); if (localdebug) {fprintf(stderr,"Ptr->ARay :"); dd_WriteNumber(stderr, temp);} /* if ( temp < -zero) {*/ if ( dd_Negative(temp)) { if (!negfound){ fprintf(stderr,"Error: An infeasible ray found after their removal\n"); negfound=dd_TRUE; } } /* else if (temp > zero){*/ else if (dd_Positive(temp)){ if (!posfound){ posfound=dd_TRUE; cone->PosHead=Ptr; cone->PosLast=Ptr; } else{ cone->PosLast=Ptr; } } else { (cone->ZeroRayCount)++; if (!zerofound){ zerofound=dd_TRUE; cone->ZeroHead=Ptr; cone->ZeroLast=Ptr; cone->ZeroLast->Next=NULL; } else{/* Find a right position to store the record sorted w.r.t. FirstInfeasIndex */ fii=Ptr->FirstInfeasIndex; found=dd_FALSE; ZeroPtr1=NULL; for (ZeroPtr0=cone->ZeroHead; !found && ZeroPtr0!=NULL ; ZeroPtr0=ZeroPtr0->Next){ fiitest=ZeroPtr0->FirstInfeasIndex; if (fiitest >= fii){ found=dd_TRUE; } else ZeroPtr1=ZeroPtr0; } /* fprintf(stderr,"insert position found \n %d index %ld\n",found, fiitest); */ if (!found){ /* the new record must be stored at the end of list */ cone->ZeroLast->Next=Ptr; cone->ZeroLast=Ptr; cone->ZeroLast->Next=NULL; } else{ if (ZeroPtr1==NULL){ /* store the new one at the head, and update the head ptr */ /* fprintf(stderr,"Insert at the head\n"); */ Ptr->Next=cone->ZeroHead; cone->ZeroHead=Ptr; } else{ /* store the new one inbetween ZeroPtr1 and 0 */ /* fprintf(stderr,"Insert inbetween\n"); */ Ptr->Next=ZeroPtr1->Next; ZeroPtr1->Next=Ptr; } } /* Ptr->Next=cone->ZeroHead; cone->ZeroHead=Ptr; */ } } Ptr=NextPtr; } /* joining the pos and zero lists */ if (posfound){ /* -list empty & +list nonempty */ cone->FirstRay=cone->PosHead; if (zerofound){ /* +list,0list nonempty */ cone->PosLast->Next=cone->ZeroHead; cone->LastRay=cone->ZeroLast; } else{ /* 0list empty & +list nonempty */ cone->LastRay=cone->PosLast; } } else{ /* +list empty & 0list nonempty */ cone->FirstRay=cone->ZeroHead; cone->LastRay=cone->ZeroLast; } cone->ArtificialRay->Next=cone->FirstRay; cone->LastRay->Next=NULL; dd_clear(temp); } void dd_FeasibilityIndices(long *fnum, long *infnum, dd_rowrange i, dd_ConePtr cone) { /*Evaluate the number of feasible rays and infeasible rays*/ /* w.r.t the hyperplane i*/ dd_colrange j; mytype temp, tnext; dd_RayPtr Ptr; dd_init(temp); dd_init(tnext); *fnum = 0; *infnum = 0; Ptr = cone->FirstRay; while (Ptr != NULL) { dd_set(temp,dd_purezero); for (j = 0; j < cone->d; j++){ dd_mul(tnext, cone->A[i - 1][j],Ptr->Ray[j]); dd_add(temp, temp, tnext); } if (dd_Nonnegative(temp)) (*fnum)++; else (*infnum)++; Ptr = Ptr->Next; } dd_clear(temp); dd_clear(tnext); } dd_boolean dd_LexSmaller(mytype *v1, mytype *v2, long dmax) { /* dmax is the size of vectors v1,v2 */ dd_boolean determined, smaller; dd_colrange j; smaller = dd_FALSE; determined = dd_FALSE; j = 1; do { if (!dd_Equal(v1[j - 1],v2[j - 1])) { /* 086 */ if (dd_Smaller(v1[j - 1],v2[j - 1])) { /*086 */ smaller = dd_TRUE; } determined = dd_TRUE; } else j++; } while (!(determined) && (j <= dmax)); return smaller; } dd_boolean dd_LexLarger(mytype *v1, mytype *v2, long dmax) { return dd_LexSmaller(v2, v1, dmax); } dd_boolean dd_LexEqual(mytype *v1, mytype *v2, long dmax) { /* dmax is the size of vectors v1,v2 */ dd_boolean determined, equal; dd_colrange j; equal = dd_TRUE; determined = dd_FALSE; j = 1; do { if (!dd_Equal(v1[j - 1],v2[j - 1])) { /* 093c */ equal = dd_FALSE; determined = dd_TRUE; } else { j++; } } while (!(determined) && (j <= dmax)); return equal; } void dd_AddNewHalfspace1(dd_ConePtr cone, dd_rowrange hnew) /* This procedure 1 must be used with PreorderedRun=dd_FALSE This procedure is the most elementary implementation of DD and can be used with any type of ordering, including dynamic ordering of rows, e.g. MaxCutoff, MinCutoff. The memory requirement is minimum because it does not store any adjacency among the rays. */ { dd_RayPtr RayPtr0,RayPtr1,RayPtr2,RayPtr2s,RayPtr3; long pos1, pos2; double prevprogress, progress; mytype value1, value2; dd_boolean adj, equal, completed; dd_init(value1); dd_init(value2); dd_EvaluateARay1(hnew, cone); /*Check feasibility of rays w.r.t. hnew and put all infeasible ones consecutively */ RayPtr0 = cone->ArtificialRay; /*Pointer pointing RayPrt1*/ RayPtr1 = cone->FirstRay; /*1st hnew-infeasible ray to scan and compare with feasible rays*/ dd_set(value1,cone->FirstRay->ARay); if (dd_Nonnegative(value1)) { if (cone->RayCount==cone->WeaklyFeasibleRayCount) cone->CompStatus=dd_AllFound; goto _L99; /* Sicne there is no hnew-infeasible ray and nothing to do */ } else { RayPtr2s = RayPtr1->Next;/* RayPtr2s must point the first feasible ray */ pos2=1; while (RayPtr2s!=NULL && dd_Negative(RayPtr2s->ARay)) { RayPtr2s = RayPtr2s->Next; pos2++; } } if (RayPtr2s==NULL) { cone->FirstRay=NULL; cone->ArtificialRay->Next=cone->FirstRay; cone->RayCount=0; cone->CompStatus=dd_AllFound; goto _L99; /* All rays are infeasible, and the computation must stop */ } RayPtr2 = RayPtr2s; /*2nd feasible ray to scan and compare with 1st*/ RayPtr3 = cone->LastRay; /*Last feasible for scanning*/ prevprogress=-10.0; pos1 = 1; completed=dd_FALSE; while ((RayPtr1 != RayPtr2s) && !completed) { dd_set(value1,RayPtr1->ARay); dd_set(value2,RayPtr2->ARay); dd_CheckEquality(cone->d, &RayPtr1, &RayPtr2, &equal); if ((dd_Positive(value1) && dd_Negative(value2)) || (dd_Negative(value1) && dd_Positive(value2))){ dd_CheckAdjacency(cone, &RayPtr1, &RayPtr2, &adj); if (adj) dd_CreateNewRay(cone, RayPtr1, RayPtr2, hnew); } if (RayPtr2 != RayPtr3) { RayPtr2 = RayPtr2->Next; continue; } if (dd_Negative(value1) || equal) { dd_Eliminate(cone, &RayPtr0); RayPtr1 = RayPtr0->Next; RayPtr2 = RayPtr2s; } else { completed=dd_TRUE; } pos1++; progress = 100.0 * ((double)pos1 / pos2) * (2.0 * pos2 - pos1) / pos2; if (progress-prevprogress>=10 && pos1%10==0 && dd_debug) { fprintf(stderr,"*Progress of iteration %5ld(/%ld): %4ld/%4ld => %4.1f%% done\n", cone->Iteration, cone->m, pos1, pos2, progress); prevprogress=progress; } } if (cone->RayCount==cone->WeaklyFeasibleRayCount) cone->CompStatus=dd_AllFound; _L99:; dd_clear(value1); dd_clear(value2); } void dd_AddNewHalfspace2(dd_ConePtr cone, dd_rowrange hnew) /* This procedure must be used under PreOrderedRun mode */ { dd_RayPtr RayPtr0,RayPtr1,RayPtr2; dd_AdjacencyType *EdgePtr, *EdgePtr0; long pos1; dd_rowrange fii1, fii2; dd_boolean localdebug=dd_FALSE; dd_EvaluateARay2(hnew, cone); /* Check feasibility of rays w.r.t. hnew and sort them. ( -rays, +rays, 0rays)*/ if (cone->PosHead==NULL && cone->ZeroHead==NULL) { cone->FirstRay=NULL; cone->ArtificialRay->Next=cone->FirstRay; cone->RayCount=0; cone->CompStatus=dd_AllFound; goto _L99; /* All rays are infeasible, and the computation must stop */ } if (localdebug){ pos1=0; fprintf(stderr,"(pos, FirstInfeasIndex, A Ray)=\n"); for (RayPtr0=cone->FirstRay; RayPtr0!=NULL; RayPtr0=RayPtr0->Next){ pos1++; fprintf(stderr,"(%ld,%ld,",pos1,RayPtr0->FirstInfeasIndex); dd_WriteNumber(stderr,RayPtr0->ARay); fprintf(stderr,") "); } fprintf(stderr,"\n"); } if (cone->ZeroHead==NULL) cone->ZeroHead=cone->LastRay; EdgePtr=cone->Edges[cone->Iteration]; while (EdgePtr!=NULL){ RayPtr1=EdgePtr->Ray1; RayPtr2=EdgePtr->Ray2; fii1=RayPtr1->FirstInfeasIndex; dd_CreateNewRay(cone, RayPtr1, RayPtr2, hnew); fii2=cone->LastRay->FirstInfeasIndex; if (fii1 != fii2) dd_ConditionalAddEdge(cone,RayPtr1,cone->LastRay,cone->PosHead); EdgePtr0=EdgePtr; EdgePtr=EdgePtr->Next; free(EdgePtr0); (cone->EdgeCount)--; } cone->Edges[cone->Iteration]=NULL; dd_DeleteNegativeRays(cone); set_addelem(cone->AddedHalfspaces, hnew); if (cone->Iterationm){ if (cone->ZeroHead!=NULL && cone->ZeroHead!=cone->LastRay){ if (cone->ZeroRayCount>200 && dd_debug) fprintf(stderr,"*New edges being scanned...\n"); dd_UpdateEdges(cone, cone->ZeroHead, cone->LastRay); } } if (cone->RayCount==cone->WeaklyFeasibleRayCount) cone->CompStatus=dd_AllFound; _L99:; } void dd_SelectNextHalfspace0(dd_ConePtr cone, dd_rowset excluded, dd_rowrange *hnext) { /*A natural way to choose the next hyperplane. Simply the largest index*/ long i; dd_boolean determined; i = cone->m; determined = dd_FALSE; do { if (set_member(i, excluded)) i--; else determined = dd_TRUE; } while (!determined && i>=1); if (determined) *hnext = i; else *hnext = 0; } void dd_SelectNextHalfspace1(dd_ConePtr cone, dd_rowset excluded, dd_rowrange *hnext) { /*Natural way to choose the next hyperplane. Simply the least index*/ long i; dd_boolean determined; i = 1; determined = dd_FALSE; do { if (set_member(i, excluded)) i++; else determined = dd_TRUE; } while (!determined && i<=cone->m); if (determined) *hnext = i; else *hnext=0; } void dd_SelectNextHalfspace2(dd_ConePtr cone, dd_rowset excluded, dd_rowrange *hnext) { /*Choose the next hyperplane with maximum infeasibility*/ long i, fea, inf, infmin, fi=0; /*feasibility and infeasibility numbers*/ infmin = cone->RayCount + 1; for (i = 1; i <= cone->m; i++) { if (!set_member(i, excluded)) { dd_FeasibilityIndices(&fea, &inf, i, cone); if (inf < infmin) { infmin = inf; fi = fea; *hnext = i; } } } if (dd_debug) { fprintf(stderr,"*infeasible rays (min) =%5ld, #feas rays =%5ld\n", infmin, fi); } } void dd_SelectNextHalfspace3(dd_ConePtr cone, dd_rowset excluded, dd_rowrange *hnext) { /*Choose the next hyperplane with maximum infeasibility*/ long i, fea, inf, infmax, fi=0; /*feasibility and infeasibility numbers*/ dd_boolean localdebug=dd_debug; infmax = -1; for (i = 1; i <= cone->m; i++) { if (!set_member(i, excluded)) { dd_FeasibilityIndices(&fea, &inf, i, cone); if (inf > infmax) { infmax = inf; fi = fea; *hnext = i; } } } if (localdebug) { fprintf(stderr,"*infeasible rays (max) =%5ld, #feas rays =%5ld\n", infmax, fi); } } void dd_SelectNextHalfspace4(dd_ConePtr cone, dd_rowset excluded, dd_rowrange *hnext) { /*Choose the next hyperplane with the most unbalanced cut*/ long i, fea, inf, max, tmax, fi=0, infi=0; /*feasibility and infeasibility numbers*/ max = -1; for (i = 1; i <= cone->m; i++) { if (!set_member(i, excluded)) { dd_FeasibilityIndices(&fea, &inf, i, cone); if (fea <= inf) tmax = inf; else tmax = fea; if (tmax > max) { max = tmax; fi = fea; infi = inf; *hnext = i; } } } if (!dd_debug) return; if (max == fi) { fprintf(stderr,"*infeasible rays (min) =%5ld, #feas rays =%5ld\n", infi, fi); } else { fprintf(stderr,"*infeasible rays (max) =%5ld, #feas rays =%5ld\n", infi, fi); } } void dd_SelectNextHalfspace5(dd_ConePtr cone, dd_rowset excluded, dd_rowrange *hnext) { /*Choose the next hyperplane which is lexico-min*/ long i, minindex; mytype *v1, *v2; minindex = 0; v1 = NULL; for (i = 1; i <= cone->m; i++) { if (!set_member(i, excluded)) { v2 = cone->A[i - 1]; if (minindex == 0) { minindex = i; v1=v2; } else if (dd_LexSmaller(v2,v1,cone->d)) { minindex = i; v1=v2; } } } *hnext = minindex; } void dd_SelectNextHalfspace6(dd_ConePtr cone, dd_rowset excluded, dd_rowrange *hnext) { /*Choose the next hyperplane which is lexico-max*/ long i, maxindex; mytype *v1, *v2; maxindex = 0; v1 = NULL; for (i = 1; i <= cone->m; i++) { if (!set_member(i, excluded)) { v2= cone->A[i - 1]; if (maxindex == 0) { maxindex = i; v1=v2; } else if (dd_LexLarger(v2, v1, cone->d)) { maxindex = i; v1=v2; } } } *hnext = maxindex; } void dd_UniqueRows(dd_rowindex OV, long p, long r, dd_Amatrix A, long dmax, dd_rowset preferred, long *uniqrows) { /* Select a subset of rows of A (with range [p, q] up to dimension dmax) by removing duplicates. When a row subset preferred is nonempty, those row indices in the set have priority. If two priority rows define the same row vector, one is chosen. For a selected unique row i, OV[i] returns a new position of the unique row i. For other nonuniqu row i, OV[i] returns a negative of the original row j dominating i. Thus the original contents of OV[p..r] will be rewritten. Other components remain the same. *uniqrows returns the number of unique rows. */ long i,iuniq,j; mytype *x; dd_boolean localdebug=dd_FALSE; if (p<=0 || p > r) goto _L99; iuniq=p; j=1; /* the first unique row candidate */ x=A[p-1]; OV[p]=j; /* tentative row index of the candidate */ for (i=p+1;i<=r; i++){ if (!dd_LexEqual(x,A[i-1],dmax)) { /* a new row vector found. */ iuniq=i; j=j+1; OV[i]=j; /* Tentatively register the row i. */ x=A[i-1]; } else { /* rows are equal */ if (set_member(i, preferred) && !set_member(iuniq, preferred)){ OV[iuniq]=-i; /* the row iuniq is dominated by the row i */ iuniq=i; /* the row i is preferred. Change the candidate. */ OV[i]=j; /* the row i is tentatively registered. */ x=A[i-1]; } else { OV[i]=-iuniq; /* the row iuniq is dominated by the row i */ } } } *uniqrows=j; if (localdebug){ printf("The number of unique rows are %ld\n with order vector",*uniqrows); for (i=p;i<=r; i++){ printf(" %ld:%ld ",i,OV[i]); } printf("\n"); } _L99:; } long dd_Partition(dd_rowindex OV, long p, long r, dd_Amatrix A, long dmax) { mytype *x; long i,j,ovi; x=A[OV[p]-1]; i=p-1; j=r+1; while (dd_TRUE){ do{ j--; } while (dd_LexLarger(A[OV[j]-1],x,dmax)); do{ i++; } while (dd_LexSmaller(A[OV[i]-1],x,dmax)); if (i1 ; j--) { r=rand(); u=r/rand_max; xk=(double)(j*u +1); k=(long)xk; if (localdebug) fprintf(stderr,"u=%g, k=%ld, r=%g, randmax= %g\n",u,k,r,rand_max); ovj=OV[j]; OV[j]=OV[k]; OV[k]=ovj; if (localdebug) fprintf(stderr,"row %ld is exchanged with %ld\n",j,k); } } void dd_ComputeRowOrderVector(dd_ConePtr cone) { long i,itemp; cone->OrderVector[0]=0; switch (cone->HalfspaceOrder){ case dd_MaxIndex: for(i=1; i<=cone->m; i++) cone->OrderVector[i]=cone->m-i+1; break; case dd_MinIndex: for(i=1; i<=cone->m; i++) cone->OrderVector[i]=i; break; case dd_LexMin: case dd_MinCutoff: case dd_MixCutoff: case dd_MaxCutoff: for(i=1; i<=cone->m; i++) cone->OrderVector[i]=i; dd_RandomPermutation(cone->OrderVector, cone->m, cone->rseed); dd_QuickSort(cone->OrderVector, 1, cone->m, cone->A, cone->d); break; case dd_LexMax: for(i=1; i<=cone->m; i++) cone->OrderVector[i]=i; dd_RandomPermutation(cone->OrderVector, cone->m, cone->rseed); dd_QuickSort(cone->OrderVector, 1, cone->m, cone->A, cone->d); for(i=1; i<=cone->m/2;i++){ /* just reverse the order */ itemp=cone->OrderVector[i]; cone->OrderVector[i]=cone->OrderVector[cone->m-i+1]; cone->OrderVector[cone->m-i+1]=itemp; } break; case dd_RandomRow: for(i=1; i<=cone->m; i++) cone->OrderVector[i]=i; dd_RandomPermutation(cone->OrderVector, cone->m, cone->rseed); break; } } void dd_UpdateRowOrderVector(dd_ConePtr cone, dd_rowset PriorityRows) /* Update the RowOrder vector to shift selected rows in highest order. */ { dd_rowrange i,j,k,j1=0,oj=0; long rr; dd_boolean found, localdebug=dd_FALSE; if (dd_debug) localdebug=dd_TRUE; found=dd_TRUE; rr=set_card(PriorityRows); if (localdebug) set_fwrite(stderr,PriorityRows); for (i=1; i<=rr; i++){ found=dd_FALSE; for (j=i; j<=cone->m && !found; j++){ oj=cone->OrderVector[j]; if (set_member(oj, PriorityRows)){ found=dd_TRUE; if (localdebug) fprintf(stderr,"%ldth in sorted list (row %ld) is in PriorityRows\n", j, oj); j1=j; } } if (found){ if (j1>i) { /* shift everything lower: ov[i]->cone->ov[i+1]..ov[j1-1]->cone->ov[j1] */ for (k=j1; k>=i; k--) cone->OrderVector[k]=cone->OrderVector[k-1]; cone->OrderVector[i]=oj; if (localdebug){ fprintf(stderr,"OrderVector updated to:\n"); for (j = 1; j <= cone->m; j++) fprintf(stderr," %2ld", cone->OrderVector[j]); fprintf(stderr,"\n"); } } } else { fprintf(stderr,"UpdateRowOrder: Error.\n"); goto _L99; } } _L99:; } void dd_SelectPreorderedNext(dd_ConePtr cone, dd_rowset excluded, dd_rowrange *hh) { dd_rowrange i,k; *hh=0; for (i=1; i<=cone->m && *hh==0; i++){ k=cone->OrderVector[i]; if (!set_member(k, excluded)) *hh=k ; } } void dd_SelectNextHalfspace(dd_ConePtr cone, dd_rowset excluded, dd_rowrange *hh) { if (cone->PreOrderedRun){ if (dd_debug) { fprintf(stderr,"debug dd_SelectNextHalfspace: Use PreorderNext\n"); } dd_SelectPreorderedNext(cone, excluded, hh); } else { if (dd_debug) { fprintf(stderr,"debug dd_SelectNextHalfspace: Use DynamicOrderedNext\n"); } switch (cone->HalfspaceOrder) { case dd_MaxIndex: dd_SelectNextHalfspace0(cone, excluded, hh); break; case dd_MinIndex: dd_SelectNextHalfspace1(cone, excluded, hh); break; case dd_MinCutoff: dd_SelectNextHalfspace2(cone, excluded, hh); break; case dd_MaxCutoff: dd_SelectNextHalfspace3(cone, excluded, hh); break; case dd_MixCutoff: dd_SelectNextHalfspace4(cone, excluded, hh); break; default: dd_SelectNextHalfspace0(cone, excluded, hh); break; } } } dd_boolean dd_Nonnegative(mytype val) { /* if (val>=-dd_zero) return dd_TRUE; */ if (dd_cmp(val,dd_minuszero)>=0) return dd_TRUE; else return dd_FALSE; } dd_boolean dd_Nonpositive(mytype val) { /* if (val<=dd_zero) return dd_TRUE; */ if (dd_cmp(val,dd_zero)<=0) return dd_TRUE; else return dd_FALSE; } dd_boolean dd_Positive(mytype val) { return !dd_Nonpositive(val); } dd_boolean dd_Negative(mytype val) { return !dd_Nonnegative(val); } dd_boolean dd_EqualToZero(mytype val) { return (dd_Nonnegative(val) && dd_Nonpositive(val)); } dd_boolean dd_Nonzero(mytype val) { return (dd_Positive(val) || dd_Negative(val)); } dd_boolean dd_Equal(mytype val1,mytype val2) { return (!dd_Larger(val1,val2) && !dd_Smaller(val1,val2)); } dd_boolean dd_Larger(mytype val1,mytype val2) { mytype temp; dd_boolean answer; dd_init(temp); dd_sub(temp,val1, val2); answer=dd_Positive(temp); dd_clear(temp); return answer; } dd_boolean dd_Smaller(mytype val1,mytype val2) { return dd_Larger(val2,val1); } void dd_abs(mytype absval, mytype val) { if (dd_Negative(val)) dd_neg(absval,val); else dd_set(absval,val); } void dd_LinearComb(mytype lc, mytype v1, mytype c1, mytype v2, mytype c2) /* lc := v1 * c1 + v2 * c2 */ { mytype temp; dd_init(temp); dd_mul(lc,v1,c1); dd_mul(temp,v2,c2); dd_add(lc,lc,temp); dd_clear(temp); } void dd_InnerProduct(mytype prod, dd_colrange d, dd_Arow v1, dd_Arow v2) { mytype temp; dd_colrange j; dd_boolean localdebug=dd_FALSE; dd_init(temp); dd_set_si(prod, 0); for (j = 0; j < d; j++){ dd_mul(temp,v1[j],v2[j]); dd_add(prod,prod,temp); } if (localdebug) { fprintf(stderr,"InnerProduct:\n"); dd_WriteArow(stderr, v1, d); dd_WriteArow(stderr, v2, d); fprintf(stderr,"prod ="); dd_WriteNumber(stderr, prod); fprintf(stderr,"\n"); } dd_clear(temp); } /* end of cddcore.c */ cddlib-094g/lib-src/cddio.c000066400000000000000000001536171206770251100155570ustar00rootroot00000000000000/* cddio.c: Basic Input and Output Procedures for cddlib written by Komei Fukuda, fukuda@ifor.math.ethz.ch Version 0.94g, March 23, 2012 */ /* cddlib : C-library of the double description method for computing all vertices and extreme rays of the polyhedron P= {x : b - A x >= 0}. Please read COPYING (GNU General Public Licence) and the manual cddlibman.tex for detail. */ #include "setoper.h" /* set operation library header (Ver. June 1, 2000 or later) */ #include "cdd.h" #include #include #include #include #include /* void dd_fread_rational_value (FILE *, mytype *); */ void dd_SetLinearity(dd_MatrixPtr, char *); void dd_SetInputFile(FILE **f,dd_DataFileType inputfile,dd_ErrorType *Error) { int opened=0,stop,quit=0; int i,dotpos=0,trial=0; char ch; char *tempname; *Error=dd_NoError; while (!opened && !quit) { fprintf(stderr,"\n>> Input file: "); scanf("%s",inputfile); ch=getchar(); stop=dd_FALSE; for (i=0; i5) { *Error=dd_IFileNotFound; quit=1; } } } } void dd_SetWriteFileName(dd_DataFileType inputfile, dd_DataFileType outfile, char cflag, dd_RepresentationType rep) { char *extension; dd_DataFileType ifilehead=""; int i,dotpos; switch (cflag) { case 'o': switch (rep) { case dd_Generator: extension=".ine"; break; /* output file for ine data */ case dd_Inequality: extension=".ext"; break; /* output file for ext data */ default: extension=".xxx";break; } break; case 'a': /* decide for output adjacence */ if (rep==dd_Inequality) extension=".ead"; /* adjacency file for ext data */ else extension=".iad"; /* adjacency file for ine data */ break; case 'i': /* decide for output incidence */ if (rep==dd_Inequality) extension=".ecd"; /* ext incidence file */ else extension=".icd"; /* ine incidence file */ break; case 'n': /* decide for input incidence */ if (rep==dd_Inequality) extension=".icd"; /* ine incidence file */ else extension=".ecd"; /* ext incidence file */ break; case 'j': /* decide for input adjacency */ if (rep==dd_Inequality) extension=".iad"; /* ine adjacency file */ else extension=".ead"; /* ext adjacency file */ break; case 'l': extension=".ddl";break; /* log file */ case 'd': extension=".dex";break; /* decomposition output */ case 'p': extension="sub.ine";break; /* preprojection sub inequality file */ case 'v': extension=".solved";break; /* verify_input file */ case 's': extension=".lps";break; /* LP solution file */ default: extension=".xxx";break; } dotpos=-1; for (i=0; i< strlen(inputfile); i++){ if (inputfile[i]=='.') dotpos=i; } if (dotpos>1) strncpy(ifilehead, inputfile, dotpos); else strcpy(ifilehead,inputfile); if (strlen(inputfile)<=0) strcpy(ifilehead,"tempcdd"); strcpy(outfile,ifilehead); strcat(outfile,extension); if (strcmp(inputfile, outfile)==0) { strcpy(outfile,inputfile); strcat(outfile,extension); } /* fprintf(stderr,"outfile name = %s\n",outfile); */ } dd_NumberType dd_GetNumberType(const char *line) { dd_NumberType nt; if (strncmp(line, "integer", 7)==0) { nt = dd_Integer; } else if (strncmp(line, "rational", 8)==0) { nt = dd_Rational; } else if (strncmp(line, "real", 4)==0) { nt = dd_Real; } else { nt=dd_Unknown; } return nt; } void dd_ProcessCommandLine(FILE *f, dd_MatrixPtr M, const char *line) { char newline[dd_linelenmax]; dd_colrange j; mytype value; dd_init(value); if (strncmp(line, "hull", 4)==0) { M->representation = dd_Generator; } if (strncmp(line, "debug", 5)==0) { dd_debug = dd_TRUE; #ifdef GMPRATIONAL ddf_debug = ddf_TRUE; #endif } if (strncmp(line, "partial_enum", 12)==0 || strncmp(line, "equality", 8)==0 || strncmp(line, "linearity", 9)==0 ) { fgets(newline,dd_linelenmax,f); dd_SetLinearity(M,newline); } if (strncmp(line, "maximize", 8)==0 || strncmp(line, "minimize", 8)==0) { if (strncmp(line, "maximize", 8)==0) M->objective=dd_LPmax; else M->objective=dd_LPmin; for (j = 1; j <= M->colsize; j++) { if (M->numbtype==dd_Real) { #if !defined(GMPRATIONAL) double rvalue; fscanf(f, "%lf", &rvalue); dd_set_d(value, rvalue); #endif } else { dd_fread_rational_value (f, value); } dd_set(M->rowvec[j - 1],value); if (dd_debug) {fprintf(stderr,"cost(%5ld) =",j); dd_WriteNumber(stderr,value);} } /*of j*/ } dd_clear(value); } dd_boolean dd_AppendMatrix2Poly(dd_PolyhedraPtr *poly, dd_MatrixPtr M) { dd_boolean success=dd_FALSE; dd_MatrixPtr Mpoly,Mnew=NULL; dd_ErrorType err; if ((*poly)!=NULL && (*poly)->m >=0 && (*poly)->d>=0 && (*poly)->d==M->colsize && M->rowsize>0){ Mpoly=dd_CopyInput(*poly); Mnew=dd_AppendMatrix(Mpoly, M); dd_FreePolyhedra(*poly); *poly=dd_DDMatrix2Poly(Mnew,&err); dd_FreeMatrix(Mpoly); dd_FreeMatrix(Mnew); if (err==dd_NoError) success=dd_TRUE; } return success; } dd_MatrixPtr dd_MatrixCopy(dd_MatrixPtr M) { dd_MatrixPtr Mcopy=NULL; dd_rowrange m; dd_colrange d; m= M->rowsize; d= M->colsize; if (m >=0 && d >=0){ Mcopy=dd_CreateMatrix(m, d); dd_CopyAmatrix(Mcopy->matrix, M->matrix, m, d); dd_CopyArow(Mcopy->rowvec, M->rowvec, d); set_copy(Mcopy->linset,M->linset); Mcopy->numbtype=M->numbtype; Mcopy->representation=M->representation; Mcopy->objective=M->objective; } return Mcopy; } dd_MatrixPtr dd_CopyMatrix(dd_MatrixPtr M) { return dd_MatrixCopy(M); } dd_MatrixPtr dd_MatrixNormalizedCopy(dd_MatrixPtr M) { dd_MatrixPtr Mcopy=NULL; dd_rowrange m; dd_colrange d; m= M->rowsize; d= M->colsize; if (m >=0 && d >=0){ Mcopy=dd_CreateMatrix(m, d); dd_CopyNormalizedAmatrix(Mcopy->matrix, M->matrix, m, d); dd_CopyArow(Mcopy->rowvec, M->rowvec, d); set_copy(Mcopy->linset,M->linset); Mcopy->numbtype=M->numbtype; Mcopy->representation=M->representation; Mcopy->objective=M->objective; } return Mcopy; } dd_MatrixPtr dd_MatrixAppend(dd_MatrixPtr M1, dd_MatrixPtr M2) { dd_MatrixPtr M=NULL; dd_rowrange i, m,m1,m2; dd_colrange j, d,d1,d2; m1=M1->rowsize; d1=M1->colsize; m2=M2->rowsize; d2=M2->colsize; m=m1+m2; d=d1; if (d1>=0 && d1==d2 && m1>=0 && m2>=0){ M=dd_CreateMatrix(m, d); dd_CopyAmatrix(M->matrix, M1->matrix, m1, d); dd_CopyArow(M->rowvec, M1->rowvec, d); for (i=0; ilinset)) set_addelem(M->linset,i+1); } for (i=0; imatrix[m1+i][j],M2->matrix[i][j]); /* append the second matrix */ if (set_member(i+1,M2->linset)) set_addelem(M->linset,m1+i+1); } M->numbtype=M1->numbtype; } return M; } dd_MatrixPtr dd_MatrixNormalizedSortedCopy(dd_MatrixPtr M,dd_rowindex *newpos) /* 094 */ { /* Sort the rows of Amatrix lexicographically, and return a link to this sorted copy. The vector newpos is allocated, where newpos[i] returns the new row index of the original row i (i=1,...,M->rowsize). */ dd_MatrixPtr Mcopy=NULL,Mnorm=NULL; dd_rowrange m,i; dd_colrange d; dd_rowindex roworder; /* if (newpos!=NULL) free(newpos); */ m= M->rowsize; d= M->colsize; roworder=(long *)calloc(m+1,sizeof(long)); *newpos=(long *)calloc(m+1,sizeof(long)); if (m >=0 && d >=0){ Mnorm=dd_MatrixNormalizedCopy(M); Mcopy=dd_CreateMatrix(m, d); for(i=1; i<=m; i++) roworder[i]=i; dd_RandomPermutation(roworder, m, 123); dd_QuickSort(roworder,1,m,Mnorm->matrix,d); dd_PermuteCopyAmatrix(Mcopy->matrix, Mnorm->matrix, m, d, roworder); dd_CopyArow(Mcopy->rowvec, M->rowvec, d); for(i=1; i<=m; i++) { if (set_member(roworder[i],M->linset)) set_addelem(Mcopy->linset, i); (*newpos)[roworder[i]]=i; } Mcopy->numbtype=M->numbtype; Mcopy->representation=M->representation; Mcopy->objective=M->objective; dd_FreeMatrix(Mnorm); } free(roworder); return Mcopy; } dd_MatrixPtr dd_MatrixUniqueCopy(dd_MatrixPtr M,dd_rowindex *newpos) { /* Remove row duplicates, and return a link to this sorted copy. Linearity rows have priority over the other rows. It is better to call this after sorting with dd_MatrixNormalizedSortedCopy. The vector newpos is allocated, where *newpos[i] returns the new row index of the original row i (i=1,...,M->rowsize). *newpos[i] is negative if the original row is dominated by -*newpos[i] and eliminated in the new copy. */ dd_MatrixPtr Mcopy=NULL; dd_rowrange m,i,uniqrows; dd_rowset preferredrows; dd_colrange d; dd_rowindex roworder; /* if (newpos!=NULL) free(newpos); */ m= M->rowsize; d= M->colsize; preferredrows=M->linset; roworder=(long *)calloc(m+1,sizeof(long)); if (m >=0 && d >=0){ for(i=1; i<=m; i++) roworder[i]=i; dd_UniqueRows(roworder, 1, m, M->matrix, d,preferredrows, &uniqrows); Mcopy=dd_CreateMatrix(uniqrows, d); dd_PermutePartialCopyAmatrix(Mcopy->matrix, M->matrix, m, d, roworder,1,m); dd_CopyArow(Mcopy->rowvec, M->rowvec, d); for(i=1; i<=m; i++) { if (roworder[i]>0 && set_member(i,M->linset)) set_addelem(Mcopy->linset, roworder[i]); } Mcopy->numbtype=M->numbtype; Mcopy->representation=M->representation; Mcopy->objective=M->objective; } *newpos=roworder; return Mcopy; } dd_MatrixPtr dd_MatrixNormalizedSortedUniqueCopy(dd_MatrixPtr M,dd_rowindex *newpos) /* 094 */ { /* Sort and remove row duplicates, and return a link to this sorted copy. Linearity rows have priority over the other rows. It is better to call this after sorting with dd_MatrixNormalizedSortedCopy. The vector newpos is allocated, where *newpos[i] returns the new row index of the original row i (i=1,...,M->rowsize). *newpos[i] is negative if the original row is dominated by -*newpos[i] and eliminated in the new copy. */ dd_MatrixPtr M1=NULL,M2=NULL; dd_rowrange m,i; dd_colrange d; dd_rowindex newpos1=NULL,newpos1r=NULL,newpos2=NULL; /* if (newpos!=NULL) free(newpos); */ m= M->rowsize; d= M->colsize; *newpos=(long *)calloc(m+1,sizeof(long)); newpos1r=(long *)calloc(m+1,sizeof(long)); if (m>=0 && d>=0){ M1=dd_MatrixNormalizedSortedCopy(M,&newpos1); for (i=1; i<=m;i++) newpos1r[newpos1[i]]=i; /* reverse of newpos1 */ M2=dd_MatrixUniqueCopy(M1,&newpos2); set_emptyset(M2->linset); for(i=1; i<=m; i++) { if (newpos2[newpos1[i]]>0){ printf("newpos1[%ld]=%ld, newpos2[newpos1[%ld]]=%ld\n",i,newpos1[i], i,newpos2[newpos1[i]]); if (set_member(i,M->linset)) set_addelem(M2->linset, newpos2[newpos1[i]]); (*newpos)[i]=newpos2[newpos1[i]]; } else { (*newpos)[i]=-newpos1r[-newpos2[newpos1[i]]]; } } dd_FreeMatrix(M1);free(newpos1);free(newpos2);free(newpos1r); } return M2; } dd_MatrixPtr dd_MatrixSortedUniqueCopy(dd_MatrixPtr M,dd_rowindex *newpos) /* 094 */ { /* Same as dd_MatrixNormalizedSortedUniqueCopy except that it returns a unnormalized origial data with original ordering. */ dd_MatrixPtr M1=NULL,M2=NULL; dd_rowrange m,i,k,ii; dd_colrange d; dd_rowindex newpos1=NULL,newpos1r=NULL,newpos2=NULL; /* if (newpos!=NULL) free(newpos); */ m= M->rowsize; d= M->colsize; *newpos=(long *)calloc(m+1,sizeof(long)); newpos1r=(long *)calloc(m+1,sizeof(long)); if (m>=0 && d>=0){ M1=dd_MatrixNormalizedSortedCopy(M,&newpos1); for (i=1; i<=m;i++) newpos1r[newpos1[i]]=i; /* reverse of newpos1 */ M2=dd_MatrixUniqueCopy(M1,&newpos2); dd_FreeMatrix(M1); set_emptyset(M2->linset); for(i=1; i<=m; i++) { if (newpos2[newpos1[i]]>0){ if (set_member(i,M->linset)) set_addelem(M2->linset, newpos2[newpos1[i]]); (*newpos)[i]=newpos2[newpos1[i]]; } else { (*newpos)[i]=-newpos1r[-newpos2[newpos1[i]]]; } } ii=0; set_emptyset(M2->linset); for (i = 1; i<=m ; i++) { k=(*newpos)[i]; if (k>0) { ii+=1; (*newpos)[i]=ii; dd_CopyArow(M2->matrix[ii-1],M->matrix[i-1],d); if (set_member(i,M->linset)) set_addelem(M2->linset, ii); } } free(newpos1);free(newpos2);free(newpos1r); } return M2; } dd_MatrixPtr dd_AppendMatrix(dd_MatrixPtr M1, dd_MatrixPtr M2) { return dd_MatrixAppend(M1,M2); } int dd_MatrixAppendTo(dd_MatrixPtr *M1, dd_MatrixPtr M2) { dd_MatrixPtr M=NULL; dd_rowrange i, m,m1,m2; dd_colrange j, d,d1,d2; dd_boolean success=0; m1=(*M1)->rowsize; d1=(*M1)->colsize; m2=M2->rowsize; d2=M2->colsize; m=m1+m2; d=d1; if (d1>=0 && d1==d2 && m1>=0 && m2>=0){ M=dd_CreateMatrix(m, d); dd_CopyAmatrix(M->matrix, (*M1)->matrix, m1, d); dd_CopyArow(M->rowvec, (*M1)->rowvec, d); for (i=0; ilinset)) set_addelem(M->linset,i+1); } for (i=0; imatrix[m1+i][j],M2->matrix[i][j]); /* append the second matrix */ if (set_member(i+1,M2->linset)) set_addelem(M->linset,m1+i+1); } M->numbtype=(*M1)->numbtype; dd_FreeMatrix(*M1); *M1=M; success=1; } return success; } int dd_MatrixRowRemove(dd_MatrixPtr *M, dd_rowrange r) /* 092 */ { dd_rowrange i,m; dd_colrange d; dd_boolean success=0; m=(*M)->rowsize; d=(*M)->colsize; if (r >= 1 && r <=m){ (*M)->rowsize=m-1; dd_FreeArow(d, (*M)->matrix[r-1]); set_delelem((*M)->linset,r); /* slide the row headers */ for (i=r; imatrix[i-1]=(*M)->matrix[i]; if (set_member(i+1, (*M)->linset)){ set_delelem((*M)->linset,i+1); set_addelem((*M)->linset,i); } } success=1; } return success; } int dd_MatrixRowRemove2(dd_MatrixPtr *M, dd_rowrange r, dd_rowindex *newpos) /* 094 */ { dd_rowrange i,m; dd_colrange d; dd_boolean success=0; dd_rowindex roworder; m=(*M)->rowsize; d=(*M)->colsize; if (r >= 1 && r <=m){ roworder=(long *)calloc(m+1,sizeof(long)); (*M)->rowsize=m-1; dd_FreeArow(d, (*M)->matrix[r-1]); set_delelem((*M)->linset,r); /* slide the row headers */ for (i=1; imatrix[i-1]=(*M)->matrix[i]; roworder[i+1]=i; if (set_member(i+1, (*M)->linset)){ set_delelem((*M)->linset,i+1); set_addelem((*M)->linset,i); } } success=1; } return success; } dd_MatrixPtr dd_MatrixSubmatrix(dd_MatrixPtr M, dd_rowset delset) /* 092 */ { dd_MatrixPtr Msub=NULL; dd_rowrange i,isub=1, m,msub; dd_colrange d; m= M->rowsize; d= M->colsize; msub=m; if (m >=0 && d >=0){ for (i=1; i<=m; i++) { if (set_member(i,delset)) msub-=1; } Msub=dd_CreateMatrix(msub, d); for (i=1; i<=m; i++){ if (!set_member(i,delset)){ dd_CopyArow(Msub->matrix[isub-1], M->matrix[i-1], d); if (set_member(i, M->linset)){ set_addelem(Msub->linset,isub); } isub++; } } dd_CopyArow(Msub->rowvec, M->rowvec, d); Msub->numbtype=M->numbtype; Msub->representation=M->representation; Msub->objective=M->objective; } return Msub; } dd_MatrixPtr dd_MatrixSubmatrix2(dd_MatrixPtr M, dd_rowset delset,dd_rowindex *newpos) /* 092 */ { /* returns a pointer to a new matrix which is a submatrix of M with rows in delset removed. *newpos[i] returns the position of the original row i in the new matrix. It is -1 if and only if it is deleted. */ dd_MatrixPtr Msub=NULL; dd_rowrange i,isub=1, m,msub; dd_colrange d; dd_rowindex roworder; m= M->rowsize; d= M->colsize; msub=m; if (m >=0 && d >=0){ roworder=(long *)calloc(m+1,sizeof(long)); for (i=1; i<=m; i++) { if (set_member(i,delset)) msub-=1; } Msub=dd_CreateMatrix(msub, d); for (i=1; i<=m; i++){ if (set_member(i,delset)){ roworder[i]=0; /* zero means the row i is removed */ } else { dd_CopyArow(Msub->matrix[isub-1], M->matrix[i-1], d); if (set_member(i, M->linset)){ set_addelem(Msub->linset,isub); } roworder[i]=isub; isub++; } } *newpos=roworder; dd_CopyArow(Msub->rowvec, M->rowvec, d); Msub->numbtype=M->numbtype; Msub->representation=M->representation; Msub->objective=M->objective; } return Msub; } dd_MatrixPtr dd_MatrixSubmatrix2L(dd_MatrixPtr M, dd_rowset delset,dd_rowindex *newpos) /* 094 */ { /* This is same as dd_MatrixSubmatrix2 except that the linearity rows will be shifted up so that they are at the top of the matrix. */ dd_MatrixPtr Msub=NULL; dd_rowrange i,iL, iI, m,msub; dd_colrange d; dd_rowindex roworder; m= M->rowsize; d= M->colsize; msub=m; if (m >=0 && d >=0){ roworder=(long *)calloc(m+1,sizeof(long)); for (i=1; i<=m; i++) { if (set_member(i,delset)) msub-=1; } Msub=dd_CreateMatrix(msub, d); iL=1; iI=set_card(M->linset)+1; /* starting positions */ for (i=1; i<=m; i++){ if (set_member(i,delset)){ roworder[i]=0; /* zero means the row i is removed */ } else { if (set_member(i,M->linset)){ dd_CopyArow(Msub->matrix[iL-1], M->matrix[i-1], d); set_delelem(Msub->linset,i); set_addelem(Msub->linset,iL); roworder[i]=iL; iL+=1; } else { dd_CopyArow(Msub->matrix[iI-1], M->matrix[i-1], d); roworder[i]=iI; iI+=1; } } } *newpos=roworder; dd_CopyArow(Msub->rowvec, M->rowvec, d); Msub->numbtype=M->numbtype; Msub->representation=M->representation; Msub->objective=M->objective; } return Msub; } int dd_MatrixRowsRemove(dd_MatrixPtr *M, dd_rowset delset) /* 094 */ { dd_MatrixPtr Msub=NULL; int success; Msub=dd_MatrixSubmatrix(*M, delset); dd_FreeMatrix(*M); *M=Msub; success=1; return success; } int dd_MatrixRowsRemove2(dd_MatrixPtr *M, dd_rowset delset,dd_rowindex *newpos) /* 094 */ { dd_MatrixPtr Msub=NULL; int success; Msub=dd_MatrixSubmatrix2(*M, delset,newpos); dd_FreeMatrix(*M); *M=Msub; success=1; return success; } int dd_MatrixShiftupLinearity(dd_MatrixPtr *M,dd_rowindex *newpos) /* 094 */ { dd_MatrixPtr Msub=NULL; int success; dd_rowset delset; set_initialize(&delset,(*M)->rowsize); /* emptyset */ Msub=dd_MatrixSubmatrix2L(*M, delset,newpos); dd_FreeMatrix(*M); *M=Msub; set_free(delset); success=1; return success; } dd_PolyhedraPtr dd_CreatePolyhedraData(dd_rowrange m, dd_colrange d) { dd_rowrange i; dd_PolyhedraPtr poly=NULL; poly=(dd_PolyhedraPtr) malloc (sizeof(dd_PolyhedraType)); poly->child =NULL; /* this links the homogenized cone data */ poly->m =m; poly->d =d; poly->n =-1; /* the size of output is not known */ poly->m_alloc =m+2; /* the allocated row size of matrix A */ poly->d_alloc =d; /* the allocated col size of matrix A */ poly->ldim =0; /* initialize the linearity dimension */ poly->numbtype=dd_Real; dd_InitializeAmatrix(poly->m_alloc,poly->d_alloc,&(poly->A)); dd_InitializeArow(d,&(poly->c)); /* cost vector */ poly->representation =dd_Inequality; poly->homogeneous =dd_FALSE; poly->EqualityIndex=(int *)calloc(m+2, sizeof(int)); /* size increased to m+2 in 092b because it is used by the child cone, This is a bug fix suggested by Thao Dang. */ /* ith component is 1 if it is equality, -1 if it is strict inequality, 0 otherwise. */ for (i = 0; i <= m+1; i++) poly->EqualityIndex[i]=0; poly->IsEmpty = -1; /* initially set to -1, neither TRUE nor FALSE, meaning unknown */ poly->NondegAssumed = dd_FALSE; poly->InitBasisAtBottom = dd_FALSE; poly->RestrictedEnumeration = dd_FALSE; poly->RelaxedEnumeration = dd_FALSE; poly->AincGenerated=dd_FALSE; /* Ainc is a set array to store the input incidence. */ return poly; } dd_boolean dd_InitializeConeData(dd_rowrange m, dd_colrange d, dd_ConePtr *cone) { dd_boolean success=dd_TRUE; dd_colrange j; (*cone)=(dd_ConePtr)calloc(1, sizeof(dd_ConeType)); /* INPUT: A given representation of a cone: inequality */ (*cone)->m=m; (*cone)->d=d; (*cone)->m_alloc=m+2; /* allocated row size of matrix A */ (*cone)->d_alloc=d; /* allocated col size of matrix A, B and Bsave */ (*cone)->numbtype=dd_Real; (*cone)->parent=NULL; /* CONTROL: variables to control computation */ (*cone)->Iteration=0; (*cone)->HalfspaceOrder=dd_LexMin; (*cone)->ArtificialRay=NULL; (*cone)->FirstRay=NULL; (*cone)->LastRay=NULL; /* The second description: Generator */ (*cone)->PosHead=NULL; (*cone)->ZeroHead=NULL; (*cone)->NegHead=NULL; (*cone)->PosLast=NULL; (*cone)->ZeroLast=NULL; (*cone)->NegLast=NULL; (*cone)->RecomputeRowOrder = dd_TRUE; (*cone)->PreOrderedRun = dd_FALSE; set_initialize(&((*cone)->GroundSet),(*cone)->m_alloc); set_initialize(&((*cone)->EqualitySet),(*cone)->m_alloc); set_initialize(&((*cone)->NonequalitySet),(*cone)->m_alloc); set_initialize(&((*cone)->AddedHalfspaces),(*cone)->m_alloc); set_initialize(&((*cone)->WeaklyAddedHalfspaces),(*cone)->m_alloc); set_initialize(&((*cone)->InitialHalfspaces),(*cone)->m_alloc); (*cone)->RayCount=0; (*cone)->FeasibleRayCount=0; (*cone)->WeaklyFeasibleRayCount=0; (*cone)->TotalRayCount=0; (*cone)->ZeroRayCount=0; (*cone)->EdgeCount=0; (*cone)->TotalEdgeCount=0; (*cone)->count_int=0; (*cone)->count_int_good=0; (*cone)->count_int_bad=0; (*cone)->rseed=1; /* random seed for random row permutation */ dd_InitializeBmatrix((*cone)->d_alloc, &((*cone)->B)); dd_InitializeBmatrix((*cone)->d_alloc, &((*cone)->Bsave)); dd_InitializeAmatrix((*cone)->m_alloc,(*cone)->d_alloc,&((*cone)->A)); (*cone)->Edges =(dd_AdjacencyType**) calloc((*cone)->m_alloc,sizeof(dd_AdjacencyType*)); (*cone)->InitialRayIndex=(long*)calloc(d+1,sizeof(long)); (*cone)->OrderVector=(long*)calloc((*cone)->m_alloc+1,sizeof(long)); (*cone)->newcol=(long*)calloc(((*cone)->d)+1,sizeof(long)); for (j=0; j<=(*cone)->d; j++) (*cone)->newcol[j]=j; /* identity map, initially */ (*cone)->LinearityDim = -2; /* -2 if it is not computed */ (*cone)->ColReduced = dd_FALSE; (*cone)->d_orig = d; /* STATES: variables to represent current state. */ /*(*cone)->Error; (*cone)->CompStatus; (*cone)->starttime; (*cone)->endtime; */ return success; } dd_ConePtr dd_ConeDataLoad(dd_PolyhedraPtr poly) { dd_ConePtr cone=NULL; dd_colrange d,j; dd_rowrange m,i; m=poly->m; d=poly->d; if (!(poly->homogeneous) && poly->representation==dd_Inequality){ m=poly->m+1; } poly->m1=m; dd_InitializeConeData(m, d, &cone); cone->representation=poly->representation; /* Points to the original polyhedra data, and reversely */ cone->parent=poly; poly->child=cone; for (i=1; i<=poly->m; i++) for (j=1; j<=cone->d; j++) dd_set(cone->A[i-1][j-1],poly->A[i-1][j-1]); if (poly->representation==dd_Inequality && !(poly->homogeneous)){ dd_set(cone->A[m-1][0],dd_one); for (j=2; j<=d; j++) dd_set(cone->A[m-1][j-1],dd_purezero); } return cone; } void dd_SetLinearity(dd_MatrixPtr M, char *line) { int i=0; dd_rowrange eqsize,var; char *next; const char ct[]=", "; /* allows separators "," and " ". */ next=strtok(line,ct); eqsize=atol(next); while (i < eqsize && (next=strtok(NULL,ct))!=NULL) { var=atol(next); set_addelem(M->linset,var); i++; } if (i!=eqsize) { fprintf(stderr,"* Warning: there are inconsistencies in linearity setting.\n"); } return; } dd_MatrixPtr dd_PolyFile2Matrix (FILE *f, dd_ErrorType *Error) { dd_MatrixPtr M=NULL; dd_rowrange m_input,i; dd_colrange d_input,j; dd_RepresentationType rep=dd_Inequality; mytype value; dd_boolean found=dd_FALSE, newformat=dd_FALSE, successful=dd_FALSE, linearity=dd_FALSE; char command[dd_linelenmax], comsave[dd_linelenmax], numbtype[dd_wordlenmax]; dd_NumberType NT; #if !defined(GMPRATIONAL) double rvalue; #endif dd_init(value); (*Error)=dd_NoError; while (!found) { if (fscanf(f,"%s",command)==EOF) { (*Error)=dd_ImproperInputFormat; goto _L99; } else { if (strncmp(command, "V-representation", 16)==0) { rep=dd_Generator; newformat=dd_TRUE; } if (strncmp(command, "H-representation", 16)==0){ rep=dd_Inequality; newformat=dd_TRUE; } if (strncmp(command, "partial_enum", 12)==0 || strncmp(command, "equality", 8)==0 || strncmp(command, "linearity", 9)==0 ) { linearity=dd_TRUE; fgets(comsave,dd_linelenmax,f); } if (strncmp(command, "begin", 5)==0) found=dd_TRUE; } } fscanf(f, "%ld %ld %s", &m_input, &d_input, numbtype); fprintf(stderr,"size = %ld x %ld\nNumber Type = %s\n", m_input, d_input, numbtype); NT=dd_GetNumberType(numbtype); if (NT==dd_Unknown) { (*Error)=dd_ImproperInputFormat; goto _L99; } M=dd_CreateMatrix(m_input, d_input); M->representation=rep; M->numbtype=NT; for (i = 1; i <= m_input; i++) { for (j = 1; j <= d_input; j++) { if (NT==dd_Real) { #if defined GMPRATIONAL *Error=dd_NoRealNumberSupport; goto _L99; #else fscanf(f, "%lf", &rvalue); dd_set_d(value, rvalue); #endif } else { dd_fread_rational_value (f, value); } dd_set(M->matrix[i-1][j - 1],value); if (dd_debug) {fprintf(stderr,"a(%3ld,%5ld) = ",i,j); dd_WriteNumber(stderr,value);} } /*of j*/ } /*of i*/ if (fscanf(f,"%s",command)==EOF) { (*Error)=dd_ImproperInputFormat; goto _L99; } else if (strncmp(command, "end", 3)!=0) { if (dd_debug) fprintf(stderr,"'end' missing or illegal extra data: %s\n",command); (*Error)=dd_ImproperInputFormat; goto _L99; } successful=dd_TRUE; if (linearity) { dd_SetLinearity(M,comsave); } while (!feof(f)) { fscanf(f,"%s", command); dd_ProcessCommandLine(f, M, command); fgets(command,dd_linelenmax,f); /* skip the CR/LF */ } _L99: ; dd_clear(value); /* if (f!=NULL) fclose(f); */ return M; } dd_PolyhedraPtr dd_DDMatrix2Poly(dd_MatrixPtr M, dd_ErrorType *err) { dd_rowrange i; dd_colrange j; dd_PolyhedraPtr poly=NULL; *err=dd_NoError; if (M->rowsize<0 || M->colsize<0){ *err=dd_NegativeMatrixSize; goto _L99; } poly=dd_CreatePolyhedraData(M->rowsize, M->colsize); poly->representation=M->representation; poly->homogeneous=dd_TRUE; for (i = 1; i <= M->rowsize; i++) { if (set_member(i, M->linset)) { poly->EqualityIndex[i]=1; } for (j = 1; j <= M->colsize; j++) { dd_set(poly->A[i-1][j-1], M->matrix[i-1][j-1]); if (j==1 && dd_Nonzero(M->matrix[i-1][j-1])) poly->homogeneous = dd_FALSE; } /*of j*/ } /*of i*/ dd_DoubleDescription(poly,err); _L99: return poly; } dd_PolyhedraPtr dd_DDMatrix2Poly2(dd_MatrixPtr M, dd_RowOrderType horder, dd_ErrorType *err) { dd_rowrange i; dd_colrange j; dd_PolyhedraPtr poly=NULL; *err=dd_NoError; if (M->rowsize<0 || M->colsize<0){ *err=dd_NegativeMatrixSize; goto _L99; } poly=dd_CreatePolyhedraData(M->rowsize, M->colsize); poly->representation=M->representation; poly->homogeneous=dd_TRUE; for (i = 1; i <= M->rowsize; i++) { if (set_member(i, M->linset)) { poly->EqualityIndex[i]=1; } for (j = 1; j <= M->colsize; j++) { dd_set(poly->A[i-1][j-1], M->matrix[i-1][j-1]); if (j==1 && dd_Nonzero(M->matrix[i-1][j-1])) poly->homogeneous = dd_FALSE; } /*of j*/ } /*of i*/ dd_DoubleDescription2(poly, horder, err); _L99: return poly; } void dd_MatrixIntegerFilter(dd_MatrixPtr M) { /* setting an almost integer to the integer. */ dd_rowrange i; dd_colrange j; mytype x; dd_init(x); for (i=0; i< M->rowsize; i++) for (j=0; j< M->colsize; j++){ dd_SnapToInteger(x, M->matrix[i][j]); dd_set(M->matrix[i][j],x); } dd_clear(x); } void dd_CopyRay(mytype *a, dd_colrange d_origsize, dd_RayPtr RR, dd_RepresentationType rep, dd_colindex reducedcol) { long j,j1; mytype b; dd_init(b); for (j = 1; j <= d_origsize; j++){ j1=reducedcol[j]; if (j1>0){ dd_set(a[j-1],RR->Ray[j1-1]); /* the original column j is mapped to j1, and thus copy the corresponding component */ } else { dd_set(a[j-1],dd_purezero); /* original column is redundant and removed for computation */ } } dd_set(b,a[0]); if (rep==dd_Generator && dd_Nonzero(b)){ dd_set(a[0],dd_one); for (j = 2; j <= d_origsize; j++) dd_div(a[j-1],a[j-1],b); /* normalization for generators */ } dd_clear(b); } void dd_WriteRay(FILE *f, dd_colrange d_origsize, dd_RayPtr RR, dd_RepresentationType rep, dd_colindex reducedcol) { dd_colrange j; static dd_colrange d_last=0; static dd_Arow a; if (d_last< d_origsize){ if (d_last>0) free(a); dd_InitializeArow(d_origsize+1, &a); d_last=d_origsize+1; } dd_CopyRay(a, d_origsize, RR, rep, reducedcol); for (j = 0; j < d_origsize; j++) dd_WriteNumber(f, a[j]); fprintf(f, "\n"); } void dd_WriteArow(FILE *f, dd_Arow a, dd_colrange d) { dd_colrange j; for (j = 0; j < d; j++) dd_WriteNumber(f, a[j]); fprintf(f, "\n"); } void dd_WriteAmatrix(FILE *f, dd_Amatrix A, long rowmax, long colmax) { long i,j; if (A==NULL){ fprintf(f, "WriteAmatrix: The requested matrix is empty\n"); goto _L99; } fprintf(f, "begin\n"); #if defined GMPRATIONAL fprintf(f, " %ld %ld rational\n",rowmax, colmax); #else fprintf(f, " %ld %ld real\n",rowmax, colmax); #endif for (i=1; i <= rowmax; i++) { for (j=1; j <= colmax; j++) { dd_WriteNumber(f, A[i-1][j-1]); } fprintf(f,"\n"); } fprintf(f, "end\n"); _L99:; } void dd_WriteBmatrix(FILE *f, dd_colrange d_size, dd_Bmatrix B) { dd_colrange j1, j2; if (B==NULL){ fprintf(f, "WriteBmatrix: The requested matrix is empty\n"); goto _L99; } for (j1 = 0; j1 < d_size; j1++) { for (j2 = 0; j2 < d_size; j2++) { dd_WriteNumber(f, B[j1][j2]); } /*of j2*/ putc('\n', f); } /*of j1*/ putc('\n', f); _L99:; } void dd_WriteSetFamily(FILE *f, dd_SetFamilyPtr F) { dd_bigrange i; if (F==NULL){ fprintf(f, "WriteSetFamily: The requested family is empty\n"); goto _L99; } fprintf(f,"begin\n"); fprintf(f," %ld %ld\n", F->famsize, F->setsize); for (i=0; ifamsize; i++) { fprintf(f, " %ld %ld : ", i+1, set_card(F->set[i])); set_fwrite(f, F->set[i]); } fprintf(f,"end\n"); _L99:; } void dd_WriteSetFamilyCompressed(FILE *f, dd_SetFamilyPtr F) { dd_bigrange i,card; if (F==NULL){ fprintf(f, "WriteSetFamily: The requested family is empty\n"); goto _L99; } fprintf(f,"begin\n"); fprintf(f," %ld %ld\n", F->famsize, F->setsize); for (i=0; ifamsize; i++) { card=set_card(F->set[i]); if (F->setsize - card >= card){ fprintf(f, " %ld %ld : ", i+1, card); set_fwrite(f, F->set[i]); } else { fprintf(f, " %ld %ld : ", i+1, -card); set_fwrite_compl(f, F->set[i]); } } fprintf(f,"end\n"); _L99:; } void dd_WriteMatrix(FILE *f, dd_MatrixPtr M) { dd_rowrange i, linsize; if (M==NULL){ fprintf(f, "WriteMatrix: The requested matrix is empty\n"); goto _L99; } switch (M->representation) { case dd_Inequality: fprintf(f, "H-representation\n"); break; case dd_Generator: fprintf(f, "V-representation\n"); break; case dd_Unspecified: break; } linsize=set_card(M->linset); if (linsize>0) { fprintf(f, "linearity %ld ", linsize); for (i=1; i<=M->rowsize; i++) if (set_member(i, M->linset)) fprintf(f, " %ld", i); fprintf(f, "\n"); } dd_WriteAmatrix(f, M->matrix, M->rowsize, M->colsize); if (M->objective!=dd_LPnone){ if (M->objective==dd_LPmax) fprintf(f, "maximize\n"); else fprintf(f, "minimize\n"); dd_WriteArow(f, M->rowvec, M->colsize); } _L99:; } void dd_WriteLP(FILE *f, dd_LPPtr lp) { if (lp==NULL){ fprintf(f, "WriteLP: The requested lp is empty\n"); goto _L99; } fprintf(f, "H-representation\n"); dd_WriteAmatrix(f, lp->A, (lp->m)-1, lp->d); if (lp->objective!=dd_LPnone){ if (lp->objective==dd_LPmax) fprintf(f, "maximize\n"); else fprintf(f, "minimize\n"); dd_WriteArow(f, lp->A[lp->objrow-1], lp->d); } _L99:; } void dd_SnapToInteger(mytype y, mytype x) { /* this is broken. It does nothing. */ dd_set(y,x); } void dd_WriteReal(FILE *f, mytype x) { long ix1,ix2,ix; double ax; ax=dd_get_d(x); ix1= (long) (fabs(ax) * 10000. + 0.5); ix2= (long) (fabs(ax) + 0.5); ix2= ix2*10000; if ( ix1 == ix2) { if (dd_Positive(x)) { ix = (long)(ax + 0.5); } else { ix = (long)(-ax + 0.5); ix = -ix; } fprintf(f, " %2ld", ix); } else fprintf(f, " % .9E",ax); } void dd_WriteNumber(FILE *f, mytype x) { #if defined GMPRATIONAL fprintf(f," "); mpq_out_str(f, 10, x); #else dd_WriteReal(f, x); #endif } void dd_WriteIncidence(FILE *f, dd_PolyhedraPtr poly) { dd_SetFamilyPtr I; switch (poly->representation) { case dd_Inequality: fprintf(f, "ecd_file: Incidence of generators and inequalities\n"); break; case dd_Generator: fprintf(f, "icd_file: Incidence of inequalities and generators\n"); break; default: break; } I=dd_CopyIncidence(poly); dd_WriteSetFamilyCompressed(f,I); dd_FreeSetFamily(I); } void dd_WriteAdjacency(FILE *f, dd_PolyhedraPtr poly) { dd_SetFamilyPtr A; switch (poly->representation) { case dd_Inequality: fprintf(f, "ead_file: Adjacency of generators\n"); break; case dd_Generator: fprintf(f, "iad_file: Adjacency of inequalities\n"); break; default: break; } A=dd_CopyAdjacency(poly); dd_WriteSetFamilyCompressed(f,A); dd_FreeSetFamily(A); } void dd_ComputeAinc(dd_PolyhedraPtr poly) { /* This generates the input incidence array poly->Ainc, and two sets: poly->Ared, poly->Adom. */ dd_bigrange k; dd_rowrange i,m1; dd_colrange j; dd_boolean redundant; dd_MatrixPtr M=NULL; mytype sum,temp; dd_init(sum); dd_init(temp); if (poly->AincGenerated==dd_TRUE) goto _L99; M=dd_CopyOutput(poly); poly->n=M->rowsize; m1=poly->m1; /* this number is same as poly->m, except when poly is given by nonhomogeneous inequalty: !(poly->homogeneous) && poly->representation==Inequality, it is poly->m+1. See dd_ConeDataLoad. */ poly->Ainc=(set_type*)calloc(m1, sizeof(set_type)); for(i=1; i<=m1; i++) set_initialize(&(poly->Ainc[i-1]),poly->n); set_initialize(&(poly->Ared), m1); set_initialize(&(poly->Adom), m1); for (k=1; k<=poly->n; k++){ for (i=1; i<=poly->m; i++){ dd_set(sum,dd_purezero); for (j=1; j<=poly->d; j++){ dd_mul(temp,poly->A[i-1][j-1],M->matrix[k-1][j-1]); dd_add(sum,sum,temp); } if (dd_EqualToZero(sum)) { set_addelem(poly->Ainc[i-1], k); } } if (!(poly->homogeneous) && poly->representation==dd_Inequality){ if (dd_EqualToZero(M->matrix[k-1][0])) { set_addelem(poly->Ainc[m1-1], k); /* added infinity inequality (1,0,0,...,0) */ } } } for (i=1; i<=m1; i++){ if (set_card(poly->Ainc[i-1])==M->rowsize){ set_addelem(poly->Adom, i); } } for (i=m1; i>=1; i--){ if (set_card(poly->Ainc[i-1])==0){ redundant=dd_TRUE; set_addelem(poly->Ared, i); }else { redundant=dd_FALSE; for (k=1; k<=m1; k++) { if (k!=i && !set_member(k, poly->Ared) && !set_member(k, poly->Adom) && set_subset(poly->Ainc[i-1], poly->Ainc[k-1])){ if (!redundant){ redundant=dd_TRUE; } set_addelem(poly->Ared, i); } } } } dd_FreeMatrix(M); poly->AincGenerated=dd_TRUE; _L99:; dd_clear(sum); dd_clear(temp); } dd_boolean dd_InputAdjacentQ(dd_PolyhedraPtr poly, dd_rowrange i1, dd_rowrange i2) /* Before calling this function, RedundantSet must be a set of row indices whose removal results in a minimal nonredundant system to represent the input polyhedron, DominantSet must be the set of row indices which are active at every extreme points/rays. */ { dd_boolean adj=dd_TRUE; dd_rowrange i; static set_type common; static long lastn=0; if (poly->AincGenerated==dd_FALSE) dd_ComputeAinc(poly); if (lastn!=poly->n){ if (lastn >0) set_free(common); set_initialize(&common, poly->n); lastn=poly->n; } if (set_member(i1, poly->Ared) || set_member(i2, poly->Ared)){ adj=dd_FALSE; goto _L99; } if (set_member(i1, poly->Adom) || set_member(i2, poly->Adom)){ // dominant inequality is considered adjacencent to all others. adj=dd_TRUE; goto _L99; } set_int(common, poly->Ainc[i1-1], poly->Ainc[i2-1]); i=0; while (im1 && adj==dd_TRUE){ i++; if (i!=i1 && i!=i2 && !set_member(i, poly->Ared) && !set_member(i, poly->Adom) && set_subset(common,poly->Ainc[i-1])){ adj=dd_FALSE; } } _L99:; return adj; } void dd_WriteInputIncidence(FILE *f, dd_PolyhedraPtr poly) { dd_SetFamilyPtr I; if (poly->AincGenerated==dd_FALSE) dd_ComputeAinc(poly); switch (poly->representation) { case dd_Inequality: fprintf(f,"icd_file: Incidence of inequalities and generators\n"); break; case dd_Generator: fprintf(f,"ecd_file: Incidence of generators and inequalities\n"); break; default: break; } I=dd_CopyInputIncidence(poly); dd_WriteSetFamilyCompressed(f,I); dd_FreeSetFamily(I); } void dd_WriteInputAdjacency(FILE *f, dd_PolyhedraPtr poly) { dd_SetFamilyPtr A; if (poly->AincGenerated==dd_FALSE){ dd_ComputeAinc(poly); } switch (poly->representation) { case dd_Inequality: fprintf(f, "iad_file: Adjacency of inequalities\n"); break; case dd_Generator: fprintf(f, "ead_file: Adjacency of generators\n"); break; default: break; } A=dd_CopyInputAdjacency(poly); dd_WriteSetFamilyCompressed(f,A); dd_FreeSetFamily(A); } void dd_WriteProgramDescription(FILE *f) { fprintf(f, "* cddlib: a double description library:%s\n", dd_DDVERSION); fprintf(f, "* compiled for %s arithmetic.\n", dd_ARITHMETIC); fprintf(f,"* %s\n",dd_COPYRIGHT); } void dd_WriteTimes(FILE *f, time_t starttime, time_t endtime) { long ptime,ptime_sec,ptime_minu, ptime_hour; /* ptime=difftime(endtime,starttime); This function is ANSI standard, but not available sometime */ ptime=(endtime - starttime); /* This is to replace the line above, but it may not give correct time in seconds */ ptime_hour=ptime/3600; ptime_minu=(ptime-ptime_hour*3600)/60; ptime_sec=ptime%60; fprintf(f,"* Computation started at %s",asctime(localtime(&starttime))); fprintf(f,"* ended at %s",asctime(localtime(&endtime))); fprintf(f,"* Total processor time = %ld seconds\n",ptime); fprintf(f,"* = %ld h %ld m %ld s\n",ptime_hour, ptime_minu, ptime_sec); } void dd_WriteDDTimes(FILE *f, dd_PolyhedraPtr poly) { dd_WriteTimes(f,poly->child->starttime,poly->child->endtime); } void dd_WriteLPTimes(FILE *f, dd_LPPtr lp) { dd_WriteTimes(f,lp->starttime,lp->endtime); } void dd_WriteLPStats(FILE *f) { time_t currenttime; time(¤ttime); fprintf(f, "\n*--- Statistics of pivots ---\n"); #if defined GMPRATIONAL fprintf(f, "* f0 = %ld (float basis finding pivots)\n",ddf_statBApivots); fprintf(f, "* fc = %ld (float CC pivots)\n",ddf_statCCpivots); fprintf(f, "* f1 = %ld (float dual simplex phase I pivots)\n",ddf_statDS1pivots); fprintf(f, "* f2 = %ld (float dual simplex phase II pivots)\n",ddf_statDS2pivots); fprintf(f, "* f3 = %ld (float anticycling CC pivots)\n",ddf_statACpivots); fprintf(f, "* e0 = %ld (exact basis finding pivots)\n",dd_statBApivots); fprintf(f, "* ec = %ld (exact CC pivots)\n",dd_statCCpivots); fprintf(f, "* e1 = %ld (exact dual simplex phase I pivots)\n",dd_statDS1pivots); fprintf(f, "* e2 = %ld (exact dual simplex phase II pivots)\n",dd_statDS2pivots); fprintf(f, "* e3 = %ld (exact anticycling CC pivots)\n",dd_statACpivots); fprintf(f, "* e4 = %ld (exact basis verification pivots)\n",dd_statBSpivots); #else fprintf(f, "f0 = %ld (float basis finding pivots)\n",dd_statBApivots); fprintf(f, "fc = %ld (float CC pivots)\n",dd_statCCpivots); fprintf(f, "f1 = %ld (float dual simplex phase I pivots)\n",dd_statDS1pivots); fprintf(f, "f2 = %ld (float dual simplex phase II pivots)\n",dd_statDS2pivots); fprintf(f, "f3 = %ld (float anticycling CC pivots)\n",dd_statACpivots); #endif dd_WriteLPMode(f); dd_WriteTimes(f,dd_statStartTime, currenttime); } void dd_WriteLPMode(FILE *f) { fprintf(f, "\n* LP solver: "); switch (dd_choiceLPSolverDefault) { case dd_DualSimplex: fprintf(f, "DualSimplex\n"); break; case dd_CrissCross: fprintf(f, "Criss-Cross\n"); break; default: break; } fprintf(f, "* Redundancy cheking solver: "); switch (dd_choiceRedcheckAlgorithm) { case dd_DualSimplex: fprintf(f, "DualSimplex\n"); break; case dd_CrissCross: fprintf(f, "Criss-Cross\n"); break; default: break; } fprintf(f, "* Lexicographic pivot: "); if (dd_choiceLexicoPivotQ) fprintf(f, " on\n"); else fprintf(f, " off\n"); } void dd_WriteRunningMode(FILE *f, dd_PolyhedraPtr poly) { if (poly->child!=NULL){ fprintf(f,"* roworder: "); switch (poly->child->HalfspaceOrder) { case dd_MinIndex: fprintf(f, "minindex\n"); break; case dd_MaxIndex: fprintf(f, "maxindex\n"); break; case dd_MinCutoff: fprintf(f, "mincutoff\n"); break; case dd_MaxCutoff: fprintf(f, "maxcutoff\n"); break; case dd_MixCutoff: fprintf(f, "mixcutoff\n"); break; case dd_LexMin: fprintf(f, "lexmin\n"); break; case dd_LexMax: fprintf(f, "lexmax\n"); break; case dd_RandomRow: fprintf(f, "random %d\n",poly->child->rseed); break; default: break; } } } void dd_WriteCompletionStatus(FILE *f, dd_ConePtr cone) { if (cone->Iterationm && cone->CompStatus==dd_AllFound) { fprintf(f,"*Computation completed at Iteration %4ld.\n", cone->Iteration); } if (cone->CompStatus == dd_RegionEmpty) { fprintf(f,"*Computation completed at Iteration %4ld because the region found empty.\n",cone->Iteration); } } void dd_WritePolyFile(FILE *f, dd_PolyhedraPtr poly) { dd_WriteAmatrix(f,poly->A,poly->m,poly->d); } void dd_WriteErrorMessages(FILE *f, dd_ErrorType Error) { switch (Error) { case dd_DimensionTooLarge: fprintf(f, "*Input Error: Input matrix is too large:\n"); fprintf(f, "*Please increase MMAX and/or NMAX in the source code and recompile.\n"); break; case dd_IFileNotFound: fprintf(f, "*Input Error: Specified input file does not exist.\n"); break; case dd_OFileNotOpen: fprintf(f, "*Output Error: Specified output file cannot be opened.\n"); break; case dd_NegativeMatrixSize: fprintf(f, "*Input Error: Input matrix has a negative size:\n"); fprintf(f, "*Please check rowsize or colsize.\n"); break; case dd_ImproperInputFormat: fprintf(f,"*Input Error: Input format is not correct.\n"); fprintf(f,"*Format:\n"); fprintf(f," begin\n"); fprintf(f," m n NumberType(real, rational or integer)\n"); fprintf(f," b -A\n"); fprintf(f," end\n"); break; case dd_EmptyVrepresentation: fprintf(f, "*Input Error: V-representation is empty:\n"); fprintf(f, "*cddlib does not accept this trivial case for which output can be any inconsistent system.\n"); break; case dd_EmptyHrepresentation: fprintf(f, "*Input Error: H-representation is empty.\n"); break; case dd_EmptyRepresentation: fprintf(f, "*Input Error: Representation is empty.\n"); break; case dd_NoLPObjective: fprintf(f, "*LP Error: No LP objective (max or min) is set.\n"); break; case dd_NoRealNumberSupport: fprintf(f, "*LP Error: The binary (with GMP Rational) does not support Real number input.\n"); fprintf(f, " : Use a binary compiled without -DGMPRATIONAL option.\n"); break; case dd_NotAvailForH: fprintf(f, "*Error: A function is called with H-rep which does not support an H-representation.\n"); break; case dd_NotAvailForV: fprintf(f, "*Error: A function is called with V-rep which does not support an V-representation.\n"); break; case dd_CannotHandleLinearity: fprintf(f, "*Error: The function called cannot handle linearity.\n"); break; case dd_RowIndexOutOfRange: fprintf(f, "*Error: Specified row index is out of range\n"); break; case dd_ColIndexOutOfRange: fprintf(f, "*Error: Specified column index is out of range\n"); break; case dd_LPCycling: fprintf(f, "*Error: Possibly an LP cycling occurs. Use the Criss-Cross method.\n"); break; case dd_NumericallyInconsistent: fprintf(f, "*Error: Numerical inconsistency is found. Use the GMP exact arithmetic.\n"); break; case dd_NoError: fprintf(f,"*No Error found.\n"); break; } } dd_SetFamilyPtr dd_CopyIncidence(dd_PolyhedraPtr poly) { dd_SetFamilyPtr F=NULL; dd_bigrange k; dd_rowrange i; if (poly->child==NULL || poly->child->CompStatus!=dd_AllFound) goto _L99; if (poly->AincGenerated==dd_FALSE) dd_ComputeAinc(poly); F=dd_CreateSetFamily(poly->n, poly->m1); for (i=1; i<=poly->m1; i++) for (k=1; k<=poly->n; k++) if (set_member(k,poly->Ainc[i-1])) set_addelem(F->set[k-1],i); _L99:; return F; } dd_SetFamilyPtr dd_CopyInputIncidence(dd_PolyhedraPtr poly) { dd_rowrange i; dd_SetFamilyPtr F=NULL; if (poly->child==NULL || poly->child->CompStatus!=dd_AllFound) goto _L99; if (poly->AincGenerated==dd_FALSE) dd_ComputeAinc(poly); F=dd_CreateSetFamily(poly->m1, poly->n); for(i=0; i< poly->m1; i++){ set_copy(F->set[i], poly->Ainc[i]); } _L99:; return F; } dd_SetFamilyPtr dd_CopyAdjacency(dd_PolyhedraPtr poly) { dd_RayPtr RayPtr1,RayPtr2; dd_SetFamilyPtr F=NULL; long pos1, pos2; dd_bigrange lstart,k,n; set_type linset,allset; dd_boolean adj; if (poly->n==0 && poly->homogeneous && poly->representation==dd_Inequality){ n=1; /* the origin (the unique vertex) should be output. */ } else n=poly->n; set_initialize(&linset, n); set_initialize(&allset, n); if (poly->child==NULL || poly->child->CompStatus!=dd_AllFound) goto _L99; F=dd_CreateSetFamily(n, n); if (n<=0) goto _L99; poly->child->LastRay->Next=NULL; for (RayPtr1=poly->child->FirstRay, pos1=1;RayPtr1 != NULL; RayPtr1 = RayPtr1->Next, pos1++){ for (RayPtr2=poly->child->FirstRay, pos2=1; RayPtr2 != NULL; RayPtr2 = RayPtr2->Next, pos2++){ if (RayPtr1!=RayPtr2){ dd_CheckAdjacency(poly->child, &RayPtr1, &RayPtr2, &adj); if (adj){ set_addelem(F->set[pos1-1], pos2); } } } } lstart=poly->n - poly->ldim + 1; set_compl(allset,allset); /* allset is set to the ground set. */ for (k=lstart; k<=poly->n; k++){ set_addelem(linset,k); /* linearity set */ set_copy(F->set[k-1],allset); /* linearity generator is adjacent to all */ } for (k=1; kset[k-1],F->set[k-1],linset); /* every generator is adjacent to all linearity generators */ } _L99:; set_free(allset); set_free(linset); return F; } dd_SetFamilyPtr dd_CopyInputAdjacency(dd_PolyhedraPtr poly) { dd_rowrange i,j; dd_SetFamilyPtr F=NULL; if (poly->child==NULL || poly->child->CompStatus!=dd_AllFound) goto _L99; if (poly->AincGenerated==dd_FALSE) dd_ComputeAinc(poly); F=dd_CreateSetFamily(poly->m1, poly->m1); for (i=1; i<=poly->m1; i++){ for (j=1; j<=poly->m1; j++){ if (i!=j && dd_InputAdjacentQ(poly, i, j)) { set_addelem(F->set[i-1],j); } } } _L99:; return F; } dd_MatrixPtr dd_CopyOutput(dd_PolyhedraPtr poly) { dd_RayPtr RayPtr; dd_MatrixPtr M=NULL; dd_rowrange i=0,total; dd_colrange j,j1; mytype b; dd_RepresentationType outputrep=dd_Inequality; dd_boolean outputorigin=dd_FALSE; dd_init(b); total=poly->child->LinearityDim + poly->child->FeasibleRayCount; if (poly->child->d<=0 || poly->child->newcol[1]==0) total=total-1; if (poly->representation==dd_Inequality) outputrep=dd_Generator; if (total==0 && poly->homogeneous && poly->representation==dd_Inequality){ total=1; outputorigin=dd_TRUE; /* the origin (the unique vertex) should be output. */ } if (poly->child==NULL || poly->child->CompStatus!=dd_AllFound) goto _L99; M=dd_CreateMatrix(total, poly->d); RayPtr = poly->child->FirstRay; while (RayPtr != NULL) { if (RayPtr->feasible) { dd_CopyRay(M->matrix[i], poly->d, RayPtr, outputrep, poly->child->newcol); i++; /* 086 */ } RayPtr = RayPtr->Next; } for (j=2; j<=poly->d; j++){ if (poly->child->newcol[j]==0){ /* original column j is dependent on others and removed for the cone */ dd_set(b,poly->child->Bsave[0][j-1]); if (outputrep==dd_Generator && dd_Positive(b)){ dd_set(M->matrix[i][0],dd_one); /* dd_Normalize */ for (j1=1; j1d; j1++) dd_div(M->matrix[i][j1],(poly->child->Bsave[j1][j-1]),b); } else { for (j1=0; j1d; j1++) dd_set(M->matrix[i][j1],poly->child->Bsave[j1][j-1]); } set_addelem(M->linset, i+1); i++; } } if (outputorigin){ /* output the origin for homogeneous H-polyhedron with no rays. */ dd_set(M->matrix[0][0],dd_one); for (j=1; jd; j++){ dd_set(M->matrix[0][j],dd_purezero); } } dd_MatrixIntegerFilter(M); if (poly->representation==dd_Inequality) M->representation=dd_Generator; else M->representation=dd_Inequality; _L99:; dd_clear(b); return M; } dd_MatrixPtr dd_CopyInput(dd_PolyhedraPtr poly) { dd_MatrixPtr M=NULL; dd_rowrange i; M=dd_CreateMatrix(poly->m, poly->d); dd_CopyAmatrix(M->matrix, poly->A, poly->m, poly->d); for (i=1; i<=poly->m; i++) if (poly->EqualityIndex[i]==1) set_addelem(M->linset,i); dd_MatrixIntegerFilter(M); if (poly->representation==dd_Generator) M->representation=dd_Generator; else M->representation=dd_Inequality; return M; } dd_MatrixPtr dd_CopyGenerators(dd_PolyhedraPtr poly) { dd_MatrixPtr M=NULL; if (poly->representation==dd_Generator){ M=dd_CopyInput(poly); } else { M=dd_CopyOutput(poly); } return M; } dd_MatrixPtr dd_CopyInequalities(dd_PolyhedraPtr poly) { dd_MatrixPtr M=NULL; if (poly->representation==dd_Inequality){ M=dd_CopyInput(poly); } else { M=dd_CopyOutput(poly); } return M; } /****************************************************************************************/ /* rational number (a/b) read is taken from Vinci by Benno Bueeler and Andreas Enge */ /****************************************************************************************/ void dd_sread_rational_value (const char *s, mytype value) /* reads a rational value from the specified string "s" and assigns it to "value" */ { char *numerator_s=NULL, *denominator_s=NULL, *position; int sign = 1; double numerator, denominator; #if defined GMPRATIONAL mpz_t znum, zden; #else double rvalue; #endif /* determine the sign of the number */ numerator_s = s; if (s [0] == '-') { sign = -1; numerator_s++; } else if (s [0] == '+') numerator_s++; /* look for a sign '/' and eventually split the number in numerator and denominator */ position = strchr (numerator_s, '/'); if (position != NULL) { *position = '\0'; /* terminates the numerator */ denominator_s = position + 1; }; /* determine the floating point values of numerator and denominator */ numerator=atol (numerator_s); if (position != NULL) { denominator=atol (denominator_s); } else denominator = 1; /* fprintf(stderr,"\nrational_read: numerator %f\n",numerator); fprintf(stderr,"rational_read: denominator %f\n",denominator); fprintf(stderr,"rational_read: sign %d\n",sign); */ #if defined GMPRATIONAL mpz_init_set_str(znum,numerator_s,10); if (sign<0) mpz_neg(znum,znum); mpz_init(zden); mpz_set_ui(zden,1); if (denominator_s!=NULL) mpz_init_set_str(zden,denominator_s,10); mpq_set_num(value,znum); mpq_set_den(value,zden); mpq_canonicalize(value); mpz_clear(znum); mpz_clear(zden); /* num=(long)sign * numerator; */ /* den=(unsigned long) denominator; */ /* mpq_set_si(value, num, den); */ #elif defined GMPFLOAT rvalue=sign * numerator/ (signed long) denominator; mpf_set_d(value, rvalue); #else rvalue=sign * numerator/ (signed long) denominator; ddd_set_d(value, rvalue); #endif if (dd_debug) { fprintf(stderr,"rational_read: "); dd_WriteNumber(stderr,value); fprintf(stderr,"\n"); } } void dd_fread_rational_value (FILE *f, mytype value) /* reads a rational value from the specified file "f" and assigns it to "value" */ { char number_s [dd_wordlenmax]; mytype rational_value; dd_init(rational_value); fscanf(f, "%s ", number_s); dd_sread_rational_value (number_s, rational_value); dd_set(value,rational_value); dd_clear(rational_value); } /****************************************************************************************/ /* end of cddio.c */ cddlib-094g/lib-src/cddlib.c000066400000000000000000000264311206770251100157070ustar00rootroot00000000000000/* cddlib.c: cdd library (library version of cdd) written by Komei Fukuda, fukuda@ifor.math.ethz.ch Version 0.94g, March 23, 2012 Standard ftp site: ftp.ifor.math.ethz.ch, Directory: pub/fukuda/cdd */ /* cdd : C-Implementation of the double description method for computing all vertices and extreme rays of the polyhedron P= {x : b - A x >= 0}. Please read COPYING (GNU General Public Licence) and the manual cddlibman.tex for detail. */ /* 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., 675 Mass Ave, Cambridge, MA 02139, USA. */ /* The first version C0.21 was created on November 10,1993 with Dave Gillespie's p2c translator from the Pascal program pdd.p written by Komei Fukuda. */ #include "setoper.h" /* set operation library header (Ver. June 1, 2000 or later) */ #include "cdd.h" #include #include #include #include #include /* Global Variables */ dd_boolean dd_debug =dd_FALSE; dd_boolean dd_log =dd_FALSE; /* GLOBAL CONSTANTS and STATICS VARIABLES (to be set by dd_set_global_constants() */ mytype dd_zero; mytype dd_one; mytype dd_purezero; mytype dd_minuszero; mytype dd_minusone; time_t dd_statStartTime; /* cddlib starting time */ long dd_statBApivots; /* basis finding pivots */ long dd_statCCpivots; /* criss-cross pivots */ long dd_statDS1pivots; /* phase 1 pivots */ long dd_statDS2pivots; /* phase 2 pivots */ long dd_statACpivots; /* anticycling (cc) pivots */ #ifdef GMPRATIONAL long dd_statBSpivots; /* basis status checking pivots */ #endif dd_LPSolverType dd_choiceLPSolverDefault; /* Default LP solver Algorithm */ dd_LPSolverType dd_choiceRedcheckAlgorithm; /* Redundancy Checking Algorithm */ dd_boolean dd_choiceLexicoPivotQ; /* whether to use the lexicographic pivot */ /* #include THINK C PROFILER */ /* #include THINK C PROFILER */ void dd_DDInit(dd_ConePtr cone) { cone->Error=dd_NoError; cone->CompStatus=dd_InProgress; cone->RayCount = 0; cone->TotalRayCount = 0; cone->FeasibleRayCount = 0; cone->WeaklyFeasibleRayCount = 0; cone->EdgeCount=0; /* active edge count */ cone->TotalEdgeCount=0; /* active edge count */ dd_SetInequalitySets(cone); dd_ComputeRowOrderVector(cone); cone->RecomputeRowOrder=dd_FALSE; } void dd_DDMain(dd_ConePtr cone) { dd_rowrange hh, itemp, otemp; dd_boolean locallog=dd_log; /* if dd_log=dd_FALSE, no log will be written. */ if (cone->d<=0){ cone->Iteration=cone->m; cone->FeasibleRayCount=0; cone->CompStatus=dd_AllFound; goto _L99; } if (locallog) { fprintf(stderr,"(Initially added rows ) = "); set_fwrite(stderr,cone->InitialHalfspaces); } while (cone->Iteration <= cone->m) { dd_SelectNextHalfspace(cone, cone->WeaklyAddedHalfspaces, &hh); if (set_member(hh,cone->NonequalitySet)){ /* Skip the row hh */ if (dd_debug) { fprintf(stderr,"*The row # %3ld should be inactive and thus skipped.\n", hh); } set_addelem(cone->WeaklyAddedHalfspaces, hh); } else { if (cone->PreOrderedRun) dd_AddNewHalfspace2(cone, hh); else{ dd_AddNewHalfspace1(cone, hh); } set_addelem(cone->AddedHalfspaces, hh); set_addelem(cone->WeaklyAddedHalfspaces, hh); } if (!cone->PreOrderedRun){ for (itemp=1; cone->OrderVector[itemp]!=hh; itemp++); otemp=cone->OrderVector[cone->Iteration]; cone->OrderVector[cone->Iteration]=hh; /* store the dynamic ordering in ordervec */ cone->OrderVector[itemp]=otemp; /* store the dynamic ordering in ordervec */ } if (locallog){ fprintf(stderr,"(Iter, Row, #Total, #Curr, #Feas)= %5ld %5ld %9ld %6ld %6ld\n", cone->Iteration, hh, cone->TotalRayCount, cone->RayCount, cone->FeasibleRayCount); } if (cone->CompStatus==dd_AllFound||cone->CompStatus==dd_RegionEmpty) { set_addelem(cone->AddedHalfspaces, hh); goto _L99; } (cone->Iteration)++; } _L99:; if (cone->d<=0 || cone->newcol[1]==0){ /* fixing the number of output */ cone->parent->n=cone->LinearityDim + cone->FeasibleRayCount -1; cone->parent->ldim=cone->LinearityDim - 1; } else { cone->parent->n=cone->LinearityDim + cone->FeasibleRayCount; cone->parent->ldim=cone->LinearityDim; } } void dd_InitialDataSetup(dd_ConePtr cone) { long j, r; dd_rowset ZSet; static dd_Arow Vector1,Vector2; static dd_colrange last_d=0; if (last_d < cone->d){ if (last_d>0) { for (j=0; jd,sizeof(mytype)); Vector2=(mytype*)calloc(cone->d,sizeof(mytype)); for (j=0; jd; j++){ dd_init(Vector1[j]); dd_init(Vector2[j]); } last_d=cone->d; } cone->RecomputeRowOrder=dd_FALSE; cone->ArtificialRay = NULL; cone->FirstRay = NULL; cone->LastRay = NULL; set_initialize(&ZSet,cone->m); dd_AddArtificialRay(cone); set_copy(cone->AddedHalfspaces, cone->InitialHalfspaces); set_copy(cone->WeaklyAddedHalfspaces, cone->InitialHalfspaces); dd_UpdateRowOrderVector(cone, cone->InitialHalfspaces); for (r = 1; r <= cone->d; r++) { for (j = 0; j < cone->d; j++){ dd_set(Vector1[j], cone->B[j][r-1]); dd_neg(Vector2[j], cone->B[j][r-1]); } dd_Normalize(cone->d, Vector1); dd_Normalize(cone->d, Vector2); dd_ZeroIndexSet(cone->m, cone->d, cone->A, Vector1, ZSet); if (set_subset(cone->EqualitySet, ZSet)){ if (dd_debug) { fprintf(stderr,"add an initial ray with zero set:"); set_fwrite(stderr,ZSet); } dd_AddRay(cone, Vector1); if (cone->InitialRayIndex[r]==0) { dd_AddRay(cone, Vector2); if (dd_debug) { fprintf(stderr,"and add its negative also.\n"); } } } } dd_CreateInitialEdges(cone); cone->Iteration = cone->d + 1; if (cone->Iteration > cone->m) cone->CompStatus=dd_AllFound; /* 0.94b */ set_free(ZSet); } dd_boolean dd_CheckEmptiness(dd_PolyhedraPtr poly, dd_ErrorType *err) { dd_rowset R, S; dd_MatrixPtr M=NULL; dd_boolean answer=dd_FALSE; *err=dd_NoError; if (poly->representation==dd_Inequality){ M=dd_CopyInequalities(poly); set_initialize(&R, M->rowsize); set_initialize(&S, M->rowsize); if (!dd_ExistsRestrictedFace(M, R, S, err)){ poly->child->CompStatus=dd_AllFound; poly->IsEmpty=dd_TRUE; poly->n=0; answer=dd_TRUE; } set_free(R); set_free(S); dd_FreeMatrix(M); } else if (poly->representation==dd_Generator && poly->m<=0){ *err=dd_EmptyVrepresentation; poly->IsEmpty=dd_TRUE; poly->child->CompStatus=dd_AllFound; answer=dd_TRUE; poly->child->Error=*err; } return answer; } dd_boolean dd_DoubleDescription(dd_PolyhedraPtr poly, dd_ErrorType *err) { dd_ConePtr cone=NULL; dd_boolean found=dd_FALSE; *err=dd_NoError; if (poly!=NULL && (poly->child==NULL || poly->child->CompStatus!=dd_AllFound)){ cone=dd_ConeDataLoad(poly); /* create a cone associated with poly by homogenization */ time(&cone->starttime); dd_DDInit(cone); if (poly->representation==dd_Generator && poly->m<=0){ *err=dd_EmptyVrepresentation; cone->Error=*err; goto _L99; } /* Check emptiness of the polyhedron */ dd_CheckEmptiness(poly,err); if (cone->CompStatus!=dd_AllFound){ dd_FindInitialRays(cone, &found); if (found) { dd_InitialDataSetup(cone); if (cone->CompStatus==dd_AllFound) goto _L99; dd_DDMain(cone); if (cone->FeasibleRayCount!=cone->RayCount) *err=dd_NumericallyInconsistent; /* cddlib-093d */ } } time(&cone->endtime); } _L99: ; return found; } dd_boolean dd_DoubleDescription2(dd_PolyhedraPtr poly, dd_RowOrderType horder, dd_ErrorType *err) { dd_ConePtr cone=NULL; dd_boolean found=dd_FALSE; *err=dd_NoError; if (poly!=NULL && (poly->child==NULL || poly->child->CompStatus!=dd_AllFound)){ cone=dd_ConeDataLoad(poly); /* create a cone associated with poly by homogenization */ cone->HalfspaceOrder=horder; /* set the row order */ time(&cone->starttime); dd_DDInit(cone); if (poly->representation==dd_Generator && poly->m<=0){ *err=dd_EmptyVrepresentation; cone->Error=*err; goto _L99; } /* Check emptiness of the polyhedron */ dd_CheckEmptiness(poly,err); if (cone->CompStatus!=dd_AllFound){ dd_FindInitialRays(cone, &found); if (found) { dd_InitialDataSetup(cone); if (cone->CompStatus==dd_AllFound) goto _L99; dd_DDMain(cone); if (cone->FeasibleRayCount!=cone->RayCount) *err=dd_NumericallyInconsistent; /* cddlib-093d */ } } time(&cone->endtime); } _L99: ; return found; } dd_boolean dd_DDInputAppend(dd_PolyhedraPtr *poly, dd_MatrixPtr M, dd_ErrorType *err) { /* This is imcomplete. It simply solves the problem from scratch. */ dd_boolean found; dd_ErrorType error; if ((*poly)->child!=NULL) dd_FreeDDMemory(*poly); dd_AppendMatrix2Poly(poly, M); (*poly)->representation=dd_Inequality; found=dd_DoubleDescription(*poly, &error); *err=error; return found; } dd_boolean dd_DDFile2File(char *ifile, char *ofile, dd_ErrorType *err) { /* The representation conversion from an input file to an outfile. */ /* modified by D. Avis to allow stdin/stdout */ dd_boolean found=dd_TRUE; FILE *reading=NULL,*writing=NULL; dd_PolyhedraPtr poly; dd_MatrixPtr M, A, G; if (strcmp(ifile,"**stdin") == 0 ) reading = stdin; else if ( ( reading = fopen(ifile, "r") )!= NULL) { fprintf(stderr,"input file %s is open\n", ifile); } else{ fprintf(stderr,"The input file %s not found\n",ifile); found=dd_FALSE; *err=dd_IFileNotFound; goto _L99; } if (found){ if (strcmp(ofile,"**stdout") == 0 ) writing = stdout; else if ( (writing = fopen(ofile, "w") ) != NULL){ fprintf(stderr,"output file %s is open\n",ofile); found=dd_TRUE; } else { fprintf(stderr,"The output file %s cannot be opened\n",ofile); found=dd_FALSE; *err=dd_OFileNotOpen; goto _L99; } } M=dd_PolyFile2Matrix(reading, err); if (*err!=dd_NoError){ goto _L99; } poly=dd_DDMatrix2Poly(M, err); /* compute the second representation */ dd_FreeMatrix(M); if (*err==dd_NoError) { dd_WriteRunningMode(writing, poly); A=dd_CopyInequalities(poly); G=dd_CopyGenerators(poly); if (poly->representation==dd_Inequality) { dd_WriteMatrix(writing,G); } else { dd_WriteMatrix(writing,A); } dd_FreePolyhedra(poly); dd_FreeMatrix(A); dd_FreeMatrix(G); } _L99: ; if (*err!=dd_NoError) dd_WriteErrorMessages(stderr,*err); if (reading!=NULL) fclose(reading); if (writing!=NULL) fclose(writing); return found; } /* end of cddlib.c */ cddlib-094g/lib-src/cddlp.c000066400000000000000000003617051206770251100155620ustar00rootroot00000000000000/* cddlp.c: dual simplex method c-code written by Komei Fukuda, fukuda@ifor.math.ethz.ch Version 0.94g, March 23, 2012 */ /* cddlp.c : C-Implementation of the dual simplex method for solving an LP: max/min A_(m-1).x subject to x in P, where P= {x : A_i.x >= 0, i=0,...,m-2, and x_0=1}, and A_i is the i-th row of an m x n matrix A. Please read COPYING (GNU General Public Licence) and the manual cddlibman.tex for detail. */ #include "setoper.h" /* set operation library header (Ver. May 18, 2000 or later) */ #include "cdd.h" #include #include #include #include #include #if defined GMPRATIONAL #include "cdd_f.h" #endif #define dd_CDDLPVERSION "Version 0.94b (August 25, 2005)" #define dd_FALSE 0 #define dd_TRUE 1 typedef set_type rowset; /* set_type defined in setoper.h */ typedef set_type colset; void dd_CrissCrossSolve(dd_LPPtr lp,dd_ErrorType *); void dd_DualSimplexSolve(dd_LPPtr lp,dd_ErrorType *); void dd_CrissCrossMinimize(dd_LPPtr,dd_ErrorType *); void dd_CrissCrossMaximize(dd_LPPtr,dd_ErrorType *); void dd_DualSimplexMinimize(dd_LPPtr,dd_ErrorType *); void dd_DualSimplexMaximize(dd_LPPtr,dd_ErrorType *); void dd_FindLPBasis(dd_rowrange,dd_colrange,dd_Amatrix,dd_Bmatrix,dd_rowindex,dd_rowset, dd_colindex,dd_rowindex,dd_rowrange,dd_colrange, dd_colrange *,int *,dd_LPStatusType *,long *); void dd_FindDualFeasibleBasis(dd_rowrange,dd_colrange,dd_Amatrix,dd_Bmatrix,dd_rowindex, dd_colindex,long *,dd_rowrange,dd_colrange,dd_boolean, dd_colrange *,dd_ErrorType *,dd_LPStatusType *,long *, long maxpivots); #ifdef GMPRATIONAL void dd_BasisStatus(ddf_LPPtr lpf, dd_LPPtr lp, dd_boolean*); void dd_BasisStatusMinimize(dd_rowrange,dd_colrange, dd_Amatrix,dd_Bmatrix,dd_rowset, dd_rowrange,dd_colrange,ddf_LPStatusType,mytype *,dd_Arow,dd_Arow,dd_rowset,ddf_colindex, ddf_rowrange,ddf_colrange,dd_colrange *,long *, int *, int *); void dd_BasisStatusMaximize(dd_rowrange,dd_colrange,dd_Amatrix,dd_Bmatrix,dd_rowset, dd_rowrange,dd_colrange,ddf_LPStatusType,mytype *,dd_Arow,dd_Arow,dd_rowset,ddf_colindex, ddf_rowrange,ddf_colrange,dd_colrange *,long *, int *, int *); #endif void dd_WriteBmatrix(FILE *f,dd_colrange d_size,dd_Bmatrix T); void dd_SetNumberType(char *line,dd_NumberType *number,dd_ErrorType *Error); void dd_ComputeRowOrderVector2(dd_rowrange m_size,dd_colrange d_size,dd_Amatrix A, dd_rowindex OV,dd_RowOrderType ho,unsigned int rseed); void dd_SelectPreorderedNext2(dd_rowrange m_size,dd_colrange d_size, rowset excluded,dd_rowindex OV,dd_rowrange *hnext); void dd_SetSolutions(dd_rowrange,dd_colrange, dd_Amatrix,dd_Bmatrix,dd_rowrange,dd_colrange,dd_LPStatusType, mytype *,dd_Arow,dd_Arow,dd_rowset,dd_colindex,dd_rowrange,dd_colrange,dd_rowindex); void dd_WriteTableau(FILE *,dd_rowrange,dd_colrange,dd_Amatrix,dd_Bmatrix, dd_colindex,dd_rowindex); void dd_WriteSignTableau(FILE *,dd_rowrange,dd_colrange,dd_Amatrix,dd_Bmatrix, dd_colindex,dd_rowindex); dd_LPSolutionPtr dd_CopyLPSolution(dd_LPPtr lp) { dd_LPSolutionPtr lps; dd_colrange j; long i; lps=(dd_LPSolutionPtr) calloc(1,sizeof(dd_LPSolutionType)); for (i=1; i<=dd_filenamelen; i++) lps->filename[i-1]=lp->filename[i-1]; lps->objective=lp->objective; lps->solver=lp->solver; lps->m=lp->m; lps->d=lp->d; lps->numbtype=lp->numbtype; lps->LPS=lp->LPS; /* the current solution status */ dd_init(lps->optvalue); dd_set(lps->optvalue,lp->optvalue); /* optimal value */ dd_InitializeArow(lp->d+1,&(lps->sol)); dd_InitializeArow(lp->d+1,&(lps->dsol)); lps->nbindex=(long*) calloc((lp->d)+1,sizeof(long)); /* dual solution */ for (j=0; j<=lp->d; j++){ dd_set(lps->sol[j],lp->sol[j]); dd_set(lps->dsol[j],lp->dsol[j]); lps->nbindex[j]=lp->nbindex[j]; } lps->pivots[0]=lp->pivots[0]; lps->pivots[1]=lp->pivots[1]; lps->pivots[2]=lp->pivots[2]; lps->pivots[3]=lp->pivots[3]; lps->pivots[4]=lp->pivots[4]; lps->total_pivots=lp->total_pivots; return lps; } dd_LPPtr dd_CreateLPData(dd_LPObjectiveType obj, dd_NumberType nt,dd_rowrange m,dd_colrange d) { dd_LPType *lp; lp=(dd_LPPtr) calloc(1,sizeof(dd_LPType)); lp->solver=dd_choiceLPSolverDefault; /* set the default lp solver */ lp->d=d; lp->m=m; lp->numbtype=nt; lp->objrow=m; lp->rhscol=1L; lp->objective=dd_LPnone; lp->LPS=dd_LPSundecided; lp->eqnumber=0; /* the number of equalities */ lp->nbindex=(long*) calloc(d+1,sizeof(long)); lp->given_nbindex=(long*) calloc(d+1,sizeof(long)); set_initialize(&(lp->equalityset),m); /* i must be in the set iff i-th row is equality . */ lp->redcheck_extensive=dd_FALSE; /* this is on only for RedundantExtensive */ lp->ired=0; set_initialize(&(lp->redset_extra),m); /* i is in the set if i-th row is newly recognized redundant (during the checking the row ired). */ set_initialize(&(lp->redset_accum),m); /* i is in the set if i-th row is recognized redundant (during the checking the row ired). */ set_initialize(&(lp->posset_extra),m); /* i is in the set if i-th row is recognized non-linearity (during the course of computation). */ lp->lexicopivot=dd_choiceLexicoPivotQ; /* dd_choice... is set in dd_set_global_constants() */ lp->m_alloc=lp->m+2; lp->d_alloc=lp->d+2; lp->objective=obj; dd_InitializeBmatrix(lp->d_alloc,&(lp->B)); dd_InitializeAmatrix(lp->m_alloc,lp->d_alloc,&(lp->A)); dd_InitializeArow(lp->d_alloc,&(lp->sol)); dd_InitializeArow(lp->d_alloc,&(lp->dsol)); dd_init(lp->optvalue); return lp; } dd_LPPtr dd_Matrix2LP(dd_MatrixPtr M, dd_ErrorType *err) { dd_rowrange m, i, irev, linc; dd_colrange d, j; dd_LPType *lp; dd_boolean localdebug=dd_FALSE; *err=dd_NoError; linc=set_card(M->linset); m=M->rowsize+1+linc; /* We represent each equation by two inequalities. This is not the best way but makes the code simple. */ d=M->colsize; if (localdebug) fprintf(stderr,"number of equalities = %ld\n", linc); lp=dd_CreateLPData(M->objective, M->numbtype, m, d); lp->Homogeneous = dd_TRUE; lp->eqnumber=linc; /* this records the number of equations */ irev=M->rowsize; /* the first row of the linc reversed inequalities. */ for (i = 1; i <= M->rowsize; i++) { if (set_member(i, M->linset)) { irev=irev+1; set_addelem(lp->equalityset,i); /* it is equality. */ /* the reversed row irev is not in the equality set. */ for (j = 1; j <= M->colsize; j++) { dd_neg(lp->A[irev-1][j-1],M->matrix[i-1][j-1]); } /*of j*/ if (localdebug) fprintf(stderr,"equality row %ld generates the reverse row %ld.\n",i,irev); } for (j = 1; j <= M->colsize; j++) { dd_set(lp->A[i-1][j-1],M->matrix[i-1][j-1]); if (j==1 && irowsize && dd_Nonzero(M->matrix[i-1][j-1])) lp->Homogeneous = dd_FALSE; } /*of j*/ } /*of i*/ for (j = 1; j <= M->colsize; j++) { dd_set(lp->A[m-1][j-1],M->rowvec[j-1]); /* objective row */ } /*of j*/ return lp; } dd_LPPtr dd_Matrix2Feasibility(dd_MatrixPtr M, dd_ErrorType *err) /* Load a matrix to create an LP object for feasibility. It is essentially the dd_Matrix2LP except that the objject function is set to identically ZERO (maximization). */ /* 094 */ { dd_rowrange m, linc; dd_colrange j; dd_LPType *lp; *err=dd_NoError; linc=set_card(M->linset); m=M->rowsize+1+linc; /* We represent each equation by two inequalities. This is not the best way but makes the code simple. */ lp=dd_Matrix2LP(M, err); lp->objective = dd_LPmax; /* since the objective is zero, this is not important */ for (j = 1; j <= M->colsize; j++) { dd_set(lp->A[m-1][j-1],dd_purezero); /* set the objective to zero. */ } /*of j*/ return lp; } dd_LPPtr dd_Matrix2Feasibility2(dd_MatrixPtr M, dd_rowset R, dd_rowset S, dd_ErrorType *err) /* Load a matrix to create an LP object for feasibility with additional equality and strict inequality constraints given by R and S. There are three types of inequalities: b_r + A_r x = 0 Linearity (Equations) specified by M b_s + A_s x > 0 Strict Inequalities specified by row index set S b_t + A_t x >= 0 The rest inequalities in M Where the linearity is considered here as the union of linearity specified by M and the additional set R. When S contains any linearity rows, those rows are considered linearity (equation). Thus S does not overlide linearity. To find a feasible solution, we set an LP maximize z subject to b_r + A_r x = 0 all r in Linearity b_s + A_s x - z >= 0 for all s in S b_t + A_t x >= 0 for all the rest rows t 1 - z >= 0 to make the LP bounded. Clearly, the feasibility problem has a solution iff the LP has a positive optimal value. The variable z will be the last variable x_{d+1}. */ /* 094 */ { dd_rowrange m, i, irev, linc; dd_colrange d, j; dd_LPType *lp; dd_rowset L; dd_boolean localdebug=dd_FALSE; *err=dd_NoError; set_initialize(&L, M->rowsize); set_uni(L,M->linset,R); linc=set_card(L); m=M->rowsize+1+linc+1; /* We represent each equation by two inequalities. This is not the best way but makes the code simple. */ d=M->colsize+1; if (localdebug) fprintf(stderr,"number of equalities = %ld\n", linc); lp=dd_CreateLPData(dd_LPmax, M->numbtype, m, d); lp->Homogeneous = dd_TRUE; lp->eqnumber=linc; /* this records the number of equations */ irev=M->rowsize; /* the first row of the linc reversed inequalities. */ for (i = 1; i <= M->rowsize; i++) { if (set_member(i, L)) { irev=irev+1; set_addelem(lp->equalityset,i); /* it is equality. */ /* the reversed row irev is not in the equality set. */ for (j = 1; j <= M->colsize; j++) { dd_neg(lp->A[irev-1][j-1],M->matrix[i-1][j-1]); } /*of j*/ if (localdebug) fprintf(stderr,"equality row %ld generates the reverse row %ld.\n",i,irev); } else if (set_member(i, S)) { dd_set(lp->A[i-1][M->colsize],dd_minusone); } for (j = 1; j <= M->colsize; j++) { dd_set(lp->A[i-1][j-1],M->matrix[i-1][j-1]); if (j==1 && irowsize && dd_Nonzero(M->matrix[i-1][j-1])) lp->Homogeneous = dd_FALSE; } /*of j*/ } /*of i*/ for (j = 1; j <= d; j++) { dd_set(lp->A[m-2][j-1],dd_purezero); /* initialize */ } /*of j*/ dd_set(lp->A[m-2][0],dd_one); /* the bounding constraint. */ dd_set(lp->A[m-2][M->colsize],dd_minusone); /* the bounding constraint. */ for (j = 1; j <= d; j++) { dd_set(lp->A[m-1][j-1],dd_purezero); /* initialize */ } /*of j*/ dd_set(lp->A[m-1][M->colsize],dd_one); /* maximize z */ set_free(L); return lp; } void dd_FreeLPData(dd_LPPtr lp) { if ((lp)!=NULL){ dd_clear(lp->optvalue); dd_FreeArow(lp->d_alloc,lp->dsol); dd_FreeArow(lp->d_alloc,lp->sol); dd_FreeBmatrix(lp->d_alloc,lp->B); dd_FreeAmatrix(lp->m_alloc,lp->d_alloc,lp->A); set_free(lp->equalityset); set_free(lp->redset_extra); set_free(lp->redset_accum); set_free(lp->posset_extra); free(lp->nbindex); free(lp->given_nbindex); free(lp); } } void dd_FreeLPSolution(dd_LPSolutionPtr lps) { if (lps!=NULL){ free(lps->nbindex); dd_FreeArow(lps->d+1,lps->dsol); dd_FreeArow(lps->d+1,lps->sol); dd_clear(lps->optvalue); free(lps); } } int dd_LPReverseRow(dd_LPPtr lp, dd_rowrange i) { dd_colrange j; int success=0; if (i>=1 && i<=lp->m){ lp->LPS=dd_LPSundecided; for (j=1; j<=lp->d; j++) { dd_neg(lp->A[i-1][j-1],lp->A[i-1][j-1]); /* negating the i-th constraint of A */ } success=1; } return success; } int dd_LPReplaceRow(dd_LPPtr lp, dd_rowrange i, dd_Arow a) { dd_colrange j; int success=0; if (i>=1 && i<=lp->m){ lp->LPS=dd_LPSundecided; for (j=1; j<=lp->d; j++) { dd_set(lp->A[i-1][j-1],a[j-1]); /* replacing the i-th constraint by a */ } success=1; } return success; } dd_Arow dd_LPCopyRow(dd_LPPtr lp, dd_rowrange i) { dd_colrange j; dd_Arow a; if (i>=1 && i<=lp->m){ dd_InitializeArow(lp->d, &a); for (j=1; j<=lp->d; j++) { dd_set(a[j-1],lp->A[i-1][j-1]); /* copying the i-th row to a */ } } return a; } void dd_SetNumberType(char *line,dd_NumberType *number,dd_ErrorType *Error) { if (strncmp(line,"integer",7)==0) { *number = dd_Integer; return; } else if (strncmp(line,"rational",8)==0) { *number = dd_Rational; return; } else if (strncmp(line,"real",4)==0) { *number = dd_Real; return; } else { *number=dd_Unknown; *Error=dd_ImproperInputFormat; } } void dd_WriteTableau(FILE *f,dd_rowrange m_size,dd_colrange d_size,dd_Amatrix A,dd_Bmatrix T, dd_colindex nbindex,dd_rowindex bflag) /* Write the tableau A.T */ { dd_colrange j; dd_rowrange i; mytype x; dd_init(x); fprintf(f," %ld %ld real\n",m_size,d_size); fprintf(f," |"); for (j=1; j<= d_size; j++) { fprintf(f," %ld",nbindex[j]); } fprintf(f,"\n"); for (j=1; j<= d_size+1; j++) { fprintf(f," ----"); } fprintf(f,"\n"); for (i=1; i<= m_size; i++) { fprintf(f," %3ld(%3ld) |",i,bflag[i]); for (j=1; j<= d_size; j++) { dd_TableauEntry(&x,m_size,d_size,A,T,i,j); dd_WriteNumber(f,x); } fprintf(f,"\n"); } fprintf(f,"end\n"); dd_clear(x); } void dd_WriteSignTableau(FILE *f,dd_rowrange m_size,dd_colrange d_size,dd_Amatrix A,dd_Bmatrix T, dd_colindex nbindex,dd_rowindex bflag) /* Write the sign tableau A.T */ { dd_colrange j; dd_rowrange i; mytype x; dd_init(x); fprintf(f," %ld %ld real\n",m_size,d_size); fprintf(f," |"); for (j=1; j<= d_size; j++) { fprintf(f,"%3ld",nbindex[j]); } fprintf(f,"\n ------- | "); for (j=1; j<= d_size; j++) { fprintf(f,"---"); } fprintf(f,"\n"); for (i=1; i<= m_size; i++) { fprintf(f," %3ld(%3ld) |",i,bflag[i]); for (j=1; j<= d_size; j++) { dd_TableauEntry(&x,m_size,d_size,A,T,i,j); if (dd_Positive(x)) fprintf(f, " +"); else if (dd_Negative(x)) fprintf(f, " -"); else fprintf(f, " 0"); } fprintf(f,"\n"); } fprintf(f,"end\n"); dd_clear(x); } void dd_WriteSignTableau2(FILE *f,dd_rowrange m_size,dd_colrange d_size,dd_Amatrix A,dd_Bmatrix T, dd_colindex nbindex_ref, dd_colindex nbindex,dd_rowindex bflag) /* Write the sign tableau A.T and the reference basis */ { dd_colrange j; dd_rowrange i; mytype x; dd_init(x); fprintf(f," %ld %ld real\n",m_size,d_size); fprintf(f," |"); for (j=1; j<= d_size; j++) fprintf(f,"%3ld",nbindex_ref[j]); fprintf(f,"\n |"); for (j=1; j<= d_size; j++) { fprintf(f,"%3ld",nbindex[j]); } fprintf(f,"\n ------- | "); for (j=1; j<= d_size; j++) { fprintf(f,"---"); } fprintf(f,"\n"); for (i=1; i<= m_size; i++) { fprintf(f," %3ld(%3ld) |",i,bflag[i]); for (j=1; j<= d_size; j++) { dd_TableauEntry(&x,m_size,d_size,A,T,i,j); if (dd_Positive(x)) fprintf(f, " +"); else if (dd_Negative(x)) fprintf(f, " -"); else fprintf(f, " 0"); } fprintf(f,"\n"); } fprintf(f,"end\n"); dd_clear(x); } void dd_GetRedundancyInformation(dd_rowrange m_size,dd_colrange d_size,dd_Amatrix A,dd_Bmatrix T, dd_colindex nbindex,dd_rowindex bflag, dd_rowset redset) /* Some basic variables that are forced to be nonnegative will be output. These are variables whose dictionary row components are all nonnegative. */ { dd_colrange j; dd_rowrange i; mytype x; dd_boolean red=dd_FALSE,localdebug=dd_FALSE; long numbred=0; dd_init(x); for (i=1; i<= m_size; i++) { red=dd_TRUE; for (j=1; j<= d_size; j++) { dd_TableauEntry(&x,m_size,d_size,A,T,i,j); if (red && dd_Negative(x)) red=dd_FALSE; } if (bflag[i]<0 && red) { numbred+=1; set_addelem(redset,i); } } if (localdebug) fprintf(stderr,"\ndd_GetRedundancyInformation: %ld redundant rows over %ld\n",numbred, m_size); dd_clear(x); } void dd_SelectDualSimplexPivot(dd_rowrange m_size,dd_colrange d_size, int Phase1,dd_Amatrix A,dd_Bmatrix T,dd_rowindex OV, dd_colindex nbindex_ref, dd_colindex nbindex,dd_rowindex bflag, dd_rowrange objrow,dd_colrange rhscol, dd_boolean lexicopivot, dd_rowrange *r,dd_colrange *s,int *selected,dd_LPStatusType *lps) { /* selects a dual simplex pivot (*r,*s) if the current basis is dual feasible and not optimal. If not dual feasible, the procedure returns *selected=dd_FALSE and *lps=LPSundecided. If Phase1=dd_TRUE, the RHS column will be considered as the negative of the column of the largest variable (==m_size). For this case, it is assumed that the caller used the auxiliary row (with variable m_size) to make the current dictionary dual feasible before calling this routine so that the nonbasic column for m_size corresponds to the auxiliary variable. */ dd_boolean colselected=dd_FALSE,rowselected=dd_FALSE, dualfeasible=dd_TRUE,localdebug=dd_FALSE; dd_rowrange i,iref; dd_colrange j,k; mytype val,valn, minval,rat,minrat; static dd_Arow rcost; static dd_colrange d_last=0; static dd_colset tieset,stieset; /* store the column indices with tie */ dd_init(val); dd_init(valn); dd_init(minval); dd_init(rat); dd_init(minrat); if (d_last0) { for (j=1; j<=d_last; j++){ dd_clear(rcost[j-1]);} free(rcost); set_free(tieset); set_free(stieset); } rcost=(mytype*) calloc(d_size,sizeof(mytype)); for (j=1; j<=d_size; j++){ dd_init(rcost[j-1]);} set_initialize(&tieset,d_size); set_initialize(&stieset,d_size); d_last=d_size; } *r=0; *s=0; *selected=dd_FALSE; *lps=dd_LPSundecided; for (j=1; j<=d_size; j++){ if (j!=rhscol){ dd_TableauEntry(&(rcost[j-1]),m_size,d_size,A,T,objrow,j); if (dd_Positive(rcost[j-1])) { dualfeasible=dd_FALSE; } } } if (dualfeasible){ while ((*lps==dd_LPSundecided) && (!rowselected) && (!colselected)) { for (i=1; i<=m_size; i++) { if (i!=objrow && bflag[i]==-1) { /* i is a basic variable */ if (Phase1){ dd_TableauEntry(&val, m_size,d_size,A,T,i,bflag[m_size]); dd_neg(val,val); /* for dual Phase I. The RHS (dual objective) is the negative of the auxiliary variable column. */ } else {dd_TableauEntry(&val,m_size,d_size,A,T,i,rhscol);} if (dd_Smaller(val,minval)) { *r=i; dd_set(minval,val); } } } if (dd_Nonnegative(minval)) { *lps=dd_Optimal; } else { rowselected=dd_TRUE; set_emptyset(tieset); for (j=1; j<=d_size; j++){ dd_TableauEntry(&val,m_size,d_size,A,T,*r,j); if (j!=rhscol && dd_Positive(val)) { dd_div(rat,rcost[j-1],val); dd_neg(rat,rat); if (*s==0 || dd_Smaller(rat,minrat)){ dd_set(minrat,rat); *s=j; set_emptyset(tieset); set_addelem(tieset, j); } else if (dd_Equal(rat,minrat)){ set_addelem(tieset,j); } } } if (*s>0) { if (!lexicopivot || set_card(tieset)==1){ colselected=dd_TRUE; *selected=dd_TRUE; } else { /* lexicographic rule with respect to the given reference cobasis. */ if (localdebug) {printf("Tie occurred at:"); set_write(tieset); printf("\n"); dd_WriteTableau(stderr,m_size,d_size,A,T,nbindex,bflag); } *s=0; k=2; /* k runs through the column indices except RHS. */ do { iref=nbindex_ref[k]; /* iref runs though the reference basic indices */ if (iref>0) { j=bflag[iref]; if (j>0) { if (set_member(j,tieset) && set_card(tieset)==1) { *s=j; colselected=dd_TRUE; } else { set_delelem(tieset, j); /* iref is cobasic, and the corresponding col is not the pivot column except it is the last one. */ } } else { *s=0; for (j=1; j<=d_size; j++){ if (set_member(j,tieset)) { dd_TableauEntry(&val,m_size,d_size,A,T,*r,j); dd_TableauEntry(&valn,m_size,d_size,A,T,iref,j); if (j!=rhscol && dd_Positive(val)) { dd_div(rat,valn,val); if (*s==0 || dd_Smaller(rat,minrat)){ dd_set(minrat,rat); *s=j; set_emptyset(stieset); set_addelem(stieset, j); } else if (dd_Equal(rat,minrat)){ set_addelem(stieset,j); } } } } set_copy(tieset,stieset); if (set_card(tieset)==1) colselected=dd_TRUE; } } k+=1; } while (!colselected && k<=d_size); *selected=dd_TRUE; } } else *lps=dd_Inconsistent; } } /* end of while */ } if (localdebug) { if (Phase1) fprintf(stderr,"Phase 1 : select %ld,%ld\n",*r,*s); else fprintf(stderr,"Phase 2 : select %ld,%ld\n",*r,*s); } dd_clear(val); dd_clear(valn); dd_clear(minval); dd_clear(rat); dd_clear(minrat); } void dd_TableauEntry(mytype *x,dd_rowrange m_size, dd_colrange d_size, dd_Amatrix X, dd_Bmatrix T, dd_rowrange r, dd_colrange s) /* Compute the (r,s) entry of X.T */ { dd_colrange j; mytype temp; dd_init(temp); dd_set(*x,dd_purezero); for (j=0; j< d_size; j++) { dd_mul(temp,X[r-1][j], T[j][s-1]); dd_add(*x, *x, temp); } dd_clear(temp); } void dd_SelectPivot2(dd_rowrange m_size,dd_colrange d_size,dd_Amatrix A,dd_Bmatrix T, dd_RowOrderType roworder,dd_rowindex ordervec, rowset equalityset, dd_rowrange rowmax,rowset NopivotRow, colset NopivotCol,dd_rowrange *r,dd_colrange *s, dd_boolean *selected) /* Select a position (*r,*s) in the matrix A.T such that (A.T)[*r][*s] is nonzero The choice is feasible, i.e., not on NopivotRow and NopivotCol, and best with respect to the specified roworder */ { int stop; dd_rowrange i,rtemp; rowset rowexcluded; mytype Xtemp; dd_boolean localdebug=dd_FALSE; stop = dd_FALSE; localdebug=dd_debug; dd_init(Xtemp); set_initialize(&rowexcluded,m_size); set_copy(rowexcluded,NopivotRow); for (i=rowmax+1;i<=m_size;i++) { set_addelem(rowexcluded,i); /* cannot pivot on any row > rmax */ } *selected = dd_FALSE; do { rtemp=0; i=1; while (i<=m_size && rtemp==0) { /* equalityset vars have highest priorities */ if (set_member(i,equalityset) && !set_member(i,rowexcluded)){ if (localdebug) fprintf(stderr,"marked set %ld chosen as a candidate\n",i); rtemp=i; } i++; } if (rtemp==0) dd_SelectPreorderedNext2(m_size,d_size,rowexcluded,ordervec,&rtemp);; if (rtemp>=1) { *r=rtemp; *s=1; while (*s <= d_size && !*selected) { dd_TableauEntry(&Xtemp,m_size,d_size,A,T,*r,*s); if (!set_member(*s,NopivotCol) && dd_Nonzero(Xtemp)) { *selected = dd_TRUE; stop = dd_TRUE; } else { (*s)++; } } if (!*selected) { set_addelem(rowexcluded,rtemp); } } else { *r = 0; *s = 0; stop = dd_TRUE; } } while (!stop); set_free(rowexcluded); dd_clear(Xtemp); } void dd_GaussianColumnPivot(dd_rowrange m_size, dd_colrange d_size, dd_Amatrix X, dd_Bmatrix T, dd_rowrange r, dd_colrange s) /* Update the Transformation matrix T with the pivot operation on (r,s) This procedure performs a implicit pivot operation on the matrix X by updating the dual basis inverse T. */ { dd_colrange j, j1; mytype Xtemp0, Xtemp1, Xtemp; static dd_Arow Rtemp; static dd_colrange last_d=0; dd_init(Xtemp0); dd_init(Xtemp1); dd_init(Xtemp); if (last_d!=d_size){ if (last_d>0) { for (j=1; j<=last_d; j++) dd_clear(Rtemp[j-1]); free(Rtemp); } Rtemp=(mytype*)calloc(d_size,sizeof(mytype)); for (j=1; j<=d_size; j++) dd_init(Rtemp[j-1]); last_d=d_size; } for (j=1; j<=d_size; j++) { dd_TableauEntry(&(Rtemp[j-1]), m_size, d_size, X, T, r,j); } dd_set(Xtemp0,Rtemp[s-1]); for (j = 1; j <= d_size; j++) { if (j != s) { dd_div(Xtemp,Rtemp[j-1],Xtemp0); dd_set(Xtemp1,dd_purezero); for (j1 = 1; j1 <= d_size; j1++){ dd_mul(Xtemp1,Xtemp,T[j1-1][s - 1]); dd_sub(T[j1-1][j-1],T[j1-1][j-1],Xtemp1); /* T[j1-1][j-1] -= T[j1-1][s - 1] * Xtemp / Xtemp0; */ } } } for (j = 1; j <= d_size; j++) dd_div(T[j-1][s - 1],T[j-1][s - 1],Xtemp0); dd_clear(Xtemp0); dd_clear(Xtemp1); dd_clear(Xtemp); } void dd_GaussianColumnPivot2(dd_rowrange m_size,dd_colrange d_size, dd_Amatrix A,dd_Bmatrix T,dd_colindex nbindex,dd_rowindex bflag,dd_rowrange r,dd_colrange s) /* Update the Transformation matrix T with the pivot operation on (r,s) This procedure performs a implicit pivot operation on the matrix A by updating the dual basis inverse T. */ { int localdebug=dd_FALSE; long entering; if (dd_debug) localdebug=dd_debug; dd_GaussianColumnPivot(m_size,d_size,A,T,r,s); entering=nbindex[s]; bflag[r]=s; /* the nonbasic variable r corresponds to column s */ nbindex[s]=r; /* the nonbasic variable on s column is r */ if (entering>0) bflag[entering]=-1; /* original variables have negative index and should not affect the row index */ if (localdebug) { fprintf(stderr,"dd_GaussianColumnPivot2\n"); fprintf(stderr," pivot: (leaving, entering) = (%ld, %ld)\n", r,entering); fprintf(stderr, " bflag[%ld] is set to %ld\n", r, s); } } void dd_ResetTableau(dd_rowrange m_size,dd_colrange d_size,dd_Bmatrix T, dd_colindex nbindex,dd_rowindex bflag,dd_rowrange objrow,dd_colrange rhscol) { dd_rowrange i; dd_colrange j; /* Initialize T and nbindex */ for (j=1; j<=d_size; j++) nbindex[j]=-j; nbindex[rhscol]=0; /* RHS is already in nonbasis and is considered to be associated with the zero-th row of input. */ dd_SetToIdentity(d_size,T); /* Set the bflag according to nbindex */ for (i=1; i<=m_size; i++) bflag[i]=-1; /* all basic variables have index -1 */ bflag[objrow]= 0; /* bflag of the objective variable is 0, different from other basic variables which have -1 */ for (j=1; j<=d_size; j++) if (nbindex[j]>0) bflag[nbindex[j]]=j; /* bflag of a nonbasic variable is its column number */ } void dd_SelectCrissCrossPivot(dd_rowrange m_size,dd_colrange d_size,dd_Amatrix A,dd_Bmatrix T, dd_rowindex bflag,dd_rowrange objrow,dd_colrange rhscol, dd_rowrange *r,dd_colrange *s, int *selected,dd_LPStatusType *lps) { int colselected=dd_FALSE,rowselected=dd_FALSE; dd_rowrange i; mytype val; dd_init(val); *selected=dd_FALSE; *lps=dd_LPSundecided; while ((*lps==dd_LPSundecided) && (!rowselected) && (!colselected)) { for (i=1; i<=m_size; i++) { if (i!=objrow && bflag[i]==-1) { /* i is a basic variable */ dd_TableauEntry(&val,m_size,d_size,A,T,i,rhscol); if (dd_Negative(val)) { rowselected=dd_TRUE; *r=i; break; } } else if (bflag[i] >0) { /* i is nonbasic variable */ dd_TableauEntry(&val,m_size,d_size,A,T,objrow,bflag[i]); if (dd_Positive(val)) { colselected=dd_TRUE; *s=bflag[i]; break; } } } if ((!rowselected) && (!colselected)) { *lps=dd_Optimal; return; } else if (rowselected) { for (i=1; i<=m_size; i++) { if (bflag[i] >0) { /* i is nonbasic variable */ dd_TableauEntry(&val,m_size,d_size,A,T,*r,bflag[i]); if (dd_Positive(val)) { colselected=dd_TRUE; *s=bflag[i]; *selected=dd_TRUE; break; } } } } else if (colselected) { for (i=1; i<=m_size; i++) { if (i!=objrow && bflag[i]==-1) { /* i is a basic variable */ dd_TableauEntry(&val,m_size,d_size,A,T,i,*s); if (dd_Negative(val)) { rowselected=dd_TRUE; *r=i; *selected=dd_TRUE; break; } } } } if (!rowselected) { *lps=dd_DualInconsistent; } else if (!colselected) { *lps=dd_Inconsistent; } } dd_clear(val); } void dd_CrissCrossSolve(dd_LPPtr lp, dd_ErrorType *err) { switch (lp->objective) { case dd_LPmax: dd_CrissCrossMaximize(lp,err); break; case dd_LPmin: dd_CrissCrossMinimize(lp,err); break; case dd_LPnone: *err=dd_NoLPObjective; break; } } void dd_DualSimplexSolve(dd_LPPtr lp, dd_ErrorType *err) { switch (lp->objective) { case dd_LPmax: dd_DualSimplexMaximize(lp,err); break; case dd_LPmin: dd_DualSimplexMinimize(lp,err); break; case dd_LPnone: *err=dd_NoLPObjective; break; } } #ifdef GMPRATIONAL dd_LPStatusType LPSf2LPS(ddf_LPStatusType lpsf) { dd_LPStatusType lps=dd_LPSundecided; switch (lpsf) { case ddf_LPSundecided: lps=dd_LPSundecided; break; case ddf_Optimal: lps=dd_Optimal; break; case ddf_Inconsistent: lps=dd_Inconsistent; break; case ddf_DualInconsistent: lps=dd_DualInconsistent; break; case ddf_StrucInconsistent: lps=dd_StrucInconsistent; break; case ddf_StrucDualInconsistent: lps=dd_StrucDualInconsistent; break; case ddf_Unbounded: lps=dd_Unbounded; break; case ddf_DualUnbounded: lps=dd_DualUnbounded; break; } return lps; } void dd_BasisStatus(ddf_LPPtr lpf, dd_LPPtr lp, dd_boolean *LPScorrect) { int i; dd_colrange se, j; dd_boolean basisfound; switch (lp->objective) { case dd_LPmax: dd_BasisStatusMaximize(lp->m,lp->d,lp->A,lp->B,lp->equalityset,lp->objrow,lp->rhscol, lpf->LPS,&(lp->optvalue),lp->sol,lp->dsol,lp->posset_extra,lpf->nbindex,lpf->re,lpf->se,&se,lp->pivots, &basisfound, LPScorrect); if (*LPScorrect) { /* printf("BasisStatus Check: the current basis is verified with GMP\n"); */ lp->LPS=LPSf2LPS(lpf->LPS); lp->re=lpf->re; lp->se=se; for (j=1; j<=lp->d; j++) lp->nbindex[j]=lpf->nbindex[j]; } for (i=1; i<=5; i++) lp->pivots[i-1]+=lpf->pivots[i-1]; break; case dd_LPmin: dd_BasisStatusMinimize(lp->m,lp->d,lp->A,lp->B,lp->equalityset,lp->objrow,lp->rhscol, lpf->LPS,&(lp->optvalue),lp->sol,lp->dsol,lp->posset_extra,lpf->nbindex,lpf->re,lpf->se,&se,lp->pivots, &basisfound, LPScorrect); if (*LPScorrect) { /* printf("BasisStatus Check: the current basis is verified with GMP\n"); */ lp->LPS=LPSf2LPS(lpf->LPS); lp->re=lpf->re; lp->se=se; for (j=1; j<=lp->d; j++) lp->nbindex[j]=lpf->nbindex[j]; } for (i=1; i<=5; i++) lp->pivots[i-1]+=lpf->pivots[i-1]; break; case dd_LPnone: break; } } #endif void dd_FindLPBasis(dd_rowrange m_size,dd_colrange d_size, dd_Amatrix A, dd_Bmatrix T,dd_rowindex OV,dd_rowset equalityset, dd_colindex nbindex, dd_rowindex bflag,dd_rowrange objrow,dd_colrange rhscol, dd_colrange *cs,int *found,dd_LPStatusType *lps,long *pivot_no) { /* Find a LP basis using Gaussian pivots. If the problem has an LP basis, the procedure returns *found=dd_TRUE,*lps=LPSundecided and an LP basis. If the constraint matrix A (excluding the rhs and objective) is not column independent, there are two cases. If the dependency gives a dual inconsistency, this returns *found=dd_FALSE, *lps=dd_StrucDualInconsistent and the evidence column *s. Otherwise, this returns *found=dd_TRUE, *lps=LPSundecided and an LP basis of size less than d_size. Columns j that do not belong to the basis (i.e. cannot be chosen as pivot because they are all zero) will be indicated in nbindex vector: nbindex[j] will be negative and set to -j. */ int chosen,stop; long pivots_p0=0,rank; colset ColSelected; rowset RowSelected; mytype val; dd_rowrange r; dd_colrange j,s; dd_init(val); *found=dd_FALSE; *cs=0; rank=0; stop=dd_FALSE; *lps=dd_LPSundecided; set_initialize(&RowSelected,m_size); set_initialize(&ColSelected,d_size); set_addelem(RowSelected,objrow); set_addelem(ColSelected,rhscol); stop=dd_FALSE; do { /* Find a LP basis */ dd_SelectPivot2(m_size,d_size,A,T,dd_MinIndex,OV,equalityset, m_size,RowSelected,ColSelected,&r,&s,&chosen); if (chosen) { set_addelem(RowSelected,r); set_addelem(ColSelected,s); dd_GaussianColumnPivot2(m_size,d_size,A,T,nbindex,bflag,r,s); pivots_p0++; rank++; } else { for (j=1;j<=d_size && *lps==dd_LPSundecided; j++) { if (j!=rhscol && nbindex[j]<0){ dd_TableauEntry(&val,m_size,d_size,A,T,objrow,j); if (dd_Nonzero(val)){ /* dual inconsistent */ *lps=dd_StrucDualInconsistent; *cs=j; /* dual inconsistent because the nonzero reduced cost */ } } } if (*lps==dd_LPSundecided) *found=dd_TRUE; /* dependent columns but not dual inconsistent. */ stop=dd_TRUE; } /* printf("d_size=%ld, rank=%ld\n",d_size,rank); */ if (rank==d_size-1) { stop = dd_TRUE; *found=dd_TRUE; } } while (!stop); *pivot_no=pivots_p0; dd_statBApivots+=pivots_p0; set_free(RowSelected); set_free(ColSelected); dd_clear(val); } void dd_FindLPBasis2(dd_rowrange m_size,dd_colrange d_size, dd_Amatrix A, dd_Bmatrix T,dd_rowindex OV,dd_rowset equalityset, dd_colindex nbindex, dd_rowindex bflag,dd_rowrange objrow,dd_colrange rhscol, dd_colrange *cs,int *found,long *pivot_no) { /* Similar to dd_FindLPBasis but it is much simpler. This tries to recompute T for the specified basis given by nbindex. It will return *found=dd_FALSE if the specified basis is not a basis. */ int chosen,stop; long pivots_p0=0,rank; dd_colset ColSelected,DependentCols; dd_rowset RowSelected, NopivotRow; mytype val; dd_boolean localdebug=dd_FALSE; dd_rowrange r,negcount=0; dd_colrange j,s; dd_init(val); *found=dd_FALSE; *cs=0; rank=0; set_initialize(&RowSelected,m_size); set_initialize(&DependentCols,d_size); set_initialize(&ColSelected,d_size); set_initialize(&NopivotRow,m_size); set_addelem(RowSelected,objrow); set_addelem(ColSelected,rhscol); set_compl(NopivotRow, NopivotRow); /* set NopivotRow to be the groundset */ for (j=2; j<=d_size; j++) if (nbindex[j]>0) set_delelem(NopivotRow, nbindex[j]); else if (nbindex[j]<0){ negcount++; set_addelem(DependentCols, -nbindex[j]); set_addelem(ColSelected, -nbindex[j]); } set_uni(RowSelected, RowSelected, NopivotRow); /* RowSelected is the set of rows not allowed to poviot on */ stop=dd_FALSE; do { /* Find a LP basis */ dd_SelectPivot2(m_size,d_size,A,T,dd_MinIndex,OV,equalityset, m_size,RowSelected,ColSelected,&r,&s,&chosen); if (chosen) { set_addelem(RowSelected,r); set_addelem(ColSelected,s); dd_GaussianColumnPivot2(m_size,d_size,A,T,nbindex,bflag,r,s); if (localdebug && m_size <=10){ dd_WriteBmatrix(stderr,d_size,T); dd_WriteTableau(stderr,m_size,d_size,A,T,nbindex,bflag); } pivots_p0++; rank++; } else{ *found=dd_FALSE; /* cannot pivot on any of the spacified positions. */ stop=dd_TRUE; } if (rank==d_size-1-negcount) { if (negcount){ /* Now it tries to pivot on rows that are supposed to be dependent. */ set_diff(ColSelected, ColSelected, DependentCols); dd_SelectPivot2(m_size,d_size,A,T,dd_MinIndex,OV,equalityset, m_size,RowSelected,ColSelected,&r,&s,&chosen); if (chosen) *found=dd_FALSE; /* not supposed to be independent */ else *found=dd_TRUE; if (localdebug){ printf("Try to check the dependent cols:"); set_write(DependentCols); if (chosen) printf("They are not dependent. Can still pivot on (%ld, %ld)\n",r, s); else printf("They are indeed dependent.\n"); } } else { *found=dd_TRUE; } stop = dd_TRUE; } } while (!stop); for (j=1; j<=d_size; j++) if (nbindex[j]>0) bflag[nbindex[j]]=j; *pivot_no=pivots_p0; set_free(RowSelected); set_free(ColSelected); set_free(NopivotRow); set_free(DependentCols); dd_clear(val); } void dd_FindDualFeasibleBasis(dd_rowrange m_size,dd_colrange d_size, dd_Amatrix A,dd_Bmatrix T,dd_rowindex OV, dd_colindex nbindex,dd_rowindex bflag,dd_rowrange objrow,dd_colrange rhscol, dd_boolean lexicopivot, dd_colrange *s,dd_ErrorType *err,dd_LPStatusType *lps,long *pivot_no, long maxpivots) { /* Find a dual feasible basis using Phase I of Dual Simplex method. If the problem is dual feasible, the procedure returns *err=NoError, *lps=LPSundecided and a dual feasible basis. If the problem is dual infeasible, this returns *err=NoError, *lps=DualInconsistent and the evidence column *s. Caution: matrix A must have at least one extra row: the row space A[m_size] must have been allocated. */ dd_boolean phase1,dualfeasible=dd_TRUE; dd_boolean localdebug=dd_FALSE,chosen,stop; dd_LPStatusType LPSphase1; long pivots_p1=0; dd_rowrange i,r_val; dd_colrange j,l,ms=0,s_val,local_m_size; mytype x,val,maxcost,axvalue,maxratio; static dd_colrange d_last=0; static dd_Arow rcost; static dd_colindex nbindex_ref; /* to be used to store the initial feasible basis for lexico rule */ mytype scaling,svalue; /* random scaling mytype value */ mytype minval; if (dd_debug) localdebug=dd_debug; dd_init(x); dd_init(val); dd_init(scaling); dd_init(svalue); dd_init(axvalue); dd_init(maxcost); dd_set(maxcost,dd_minuszero); dd_init(maxratio); dd_set(maxratio,dd_minuszero); if (d_last0) { for (j=1; j<=d_last; j++){ dd_clear(rcost[j-1]);} free(rcost); free(nbindex_ref); } rcost=(mytype*) calloc(d_size,sizeof(mytype)); nbindex_ref=(long*) calloc(d_size+1,sizeof(long)); for (j=1; j<=d_size; j++){ dd_init(rcost[j-1]);} d_last=d_size; } *err=dd_NoError; *lps=dd_LPSundecided; *s=0; local_m_size=m_size+1; /* increase m_size by 1 */ ms=0; /* ms will be the index of column which has the largest reduced cost */ for (j=1; j<=d_size; j++){ if (j!=rhscol){ dd_TableauEntry(&(rcost[j-1]),local_m_size,d_size,A,T,objrow,j); if (dd_Larger(rcost[j-1],maxcost)) {dd_set(maxcost,rcost[j-1]); ms = j;} } } if (dd_Positive(maxcost)) dualfeasible=dd_FALSE; if (!dualfeasible){ for (j=1; j<=d_size; j++){ dd_set(A[local_m_size-1][j-1], dd_purezero); for (l=1; l<=d_size; l++){ if (nbindex[l]>0) { dd_set_si(scaling,l+10); dd_mul(svalue,A[nbindex[l]-1][j-1],scaling); dd_sub(A[local_m_size-1][j-1],A[local_m_size-1][j-1],svalue); /* To make the auxiliary row (0,-11,-12,...,-d-10). It is likely to be better than (0, -1, -1, ..., -1) to avoid a degenerate LP. Version 093c. */ } } } if (localdebug){ fprintf(stderr,"\ndd_FindDualFeasibleBasis: curruent basis is not dual feasible.\n"); fprintf(stderr,"because of the column %ld assoc. with var %ld dual cost =", ms,nbindex[ms]); dd_WriteNumber(stderr, maxcost); if (localdebug) { if (m_size <=100 && d_size <=30){ printf("\ndd_FindDualFeasibleBasis: the starting dictionary.\n"); dd_WriteTableau(stdout,m_size+1,d_size,A,T,nbindex,bflag); } } } ms=0; /* Ratio Test: ms will be now the index of column which has the largest reduced cost over the auxiliary row entry */ for (j=1; j<=d_size; j++){ if ((j!=rhscol) && dd_Positive(rcost[j-1])){ dd_TableauEntry(&axvalue,local_m_size,d_size,A,T,local_m_size,j); if (dd_Nonnegative(axvalue)) { *err=dd_NumericallyInconsistent; /* This should not happen as they are set negative above. Quit the phase I.*/ if (localdebug) fprintf(stderr,"dd_FindDualFeasibleBasis: Numerical Inconsistency detected.\n"); goto _L99; } dd_neg(axvalue,axvalue); dd_div(axvalue,rcost[j-1],axvalue); /* axvalue is the negative of ratio that is to be maximized. */ if (dd_Larger(axvalue,maxratio)) { dd_set(maxratio,axvalue); ms = j; } } } if (ms==0) { *err=dd_NumericallyInconsistent; /* This should not happen. Quit the phase I.*/ if (localdebug) fprintf(stderr,"dd_FindDualFeasibleBasis: Numerical Inconsistency detected.\n"); goto _L99; } /* Pivot on (local_m_size,ms) so that the dual basic solution becomes feasible */ dd_GaussianColumnPivot2(local_m_size,d_size,A,T,nbindex,bflag,local_m_size,ms); pivots_p1=pivots_p1+1; if (localdebug) { printf("\ndd_FindDualFeasibleBasis: Pivot on %ld %ld.\n",local_m_size,ms); } for (j=1; j<=d_size; j++) nbindex_ref[j]=nbindex[j]; /* set the reference basis to be the current feasible basis. */ if (localdebug){ fprintf(stderr, "Store the current feasible basis:"); for (j=1; j<=d_size; j++) fprintf(stderr, " %ld", nbindex_ref[j]); fprintf(stderr, "\n"); if (m_size <=100 && d_size <=30) dd_WriteSignTableau2(stdout,m_size+1,d_size,A,T,nbindex_ref,nbindex,bflag); } phase1=dd_TRUE; stop=dd_FALSE; do { /* Dual Simplex Phase I */ chosen=dd_FALSE; LPSphase1=dd_LPSundecided; if (pivots_p1>maxpivots) { *err=dd_LPCycling; fprintf(stderr,"max number %ld of pivots performed in Phase I. Switch to the anticycling phase.\n", maxpivots); goto _L99; /* failure due to max no. of pivots performed */ } dd_SelectDualSimplexPivot(local_m_size,d_size,phase1,A,T,OV,nbindex_ref,nbindex,bflag, objrow,rhscol,lexicopivot,&r_val,&s_val,&chosen,&LPSphase1); if (!chosen) { /* The current dictionary is terminal. There are two cases: dd_TableauEntry(local_m_size,d_size,A,T,objrow,ms) is negative or zero. The first case implies dual infeasible, and the latter implies dual feasible but local_m_size is still in nonbasis. We must pivot in the auxiliary variable local_m_size. */ dd_TableauEntry(&x,local_m_size,d_size,A,T,objrow,ms); if (dd_Negative(x)){ *err=dd_NoError; *lps=dd_DualInconsistent; *s=ms; } if (localdebug) { fprintf(stderr,"\ndd_FindDualFeasibleBasis: the auxiliary variable was forced to enter the basis (# pivots = %ld).\n",pivots_p1); fprintf(stderr," -- objrow %ld, ms %ld entry: ",objrow,ms); dd_WriteNumber(stderr, x); fprintf(stderr,"\n"); if (dd_Negative(x)){ fprintf(stderr,"->The basis is dual inconsistent. Terminate.\n"); } else { fprintf(stderr,"->The basis is feasible. Go to phase II.\n"); } } dd_init(minval); r_val=0; for (i=1; i<=local_m_size; i++){ if (bflag[i]<0) { /* i is basic and not the objective variable */ dd_TableauEntry(&val,local_m_size,d_size,A,T,i,ms); /* auxiliary column*/ if (dd_Smaller(val, minval)) { r_val=i; dd_set(minval,val); } } } dd_clear(minval); if (r_val==0) { *err=dd_NumericallyInconsistent; /* This should not happen. Quit the phase I.*/ if (localdebug) fprintf(stderr,"dd_FindDualFeasibleBasis: Numerical Inconsistency detected (r_val is 0).\n"); goto _L99; } dd_GaussianColumnPivot2(local_m_size,d_size,A,T,nbindex,bflag,r_val,ms); pivots_p1=pivots_p1+1; if (localdebug) { printf("\ndd_FindDualFeasibleBasis: make the %ld-th pivot on %ld %ld to force the auxiliary variable to enter the basis.\n",pivots_p1,r_val,ms); if (m_size <=100 && d_size <=30) dd_WriteSignTableau2(stdout,m_size+1,d_size,A,T,nbindex_ref,nbindex,bflag); } stop=dd_TRUE; } else { dd_GaussianColumnPivot2(local_m_size,d_size,A,T,nbindex,bflag,r_val,s_val); pivots_p1=pivots_p1+1; if (localdebug) { printf("\ndd_FindDualFeasibleBasis: make a %ld-th pivot on %ld %ld\n",pivots_p1,r_val,s_val); if (m_size <=100 && d_size <=30) dd_WriteSignTableau2(stdout,local_m_size,d_size,A,T,nbindex_ref,nbindex,bflag); } if (bflag[local_m_size]<0) { stop=dd_TRUE; if (localdebug) fprintf(stderr,"\nDualSimplex Phase I: the auxiliary variable entered the basis (# pivots = %ld).\nGo to phase II\n",pivots_p1); } } } while(!stop); } _L99: *pivot_no=pivots_p1; dd_statDS1pivots+=pivots_p1; dd_clear(x); dd_clear(val); dd_clear(maxcost); dd_clear(maxratio); dd_clear(scaling); dd_clear(svalue); dd_clear(axvalue); } void dd_DualSimplexMinimize(dd_LPPtr lp,dd_ErrorType *err) { dd_colrange j; *err=dd_NoError; for (j=1; j<=lp->d; j++) dd_neg(lp->A[lp->objrow-1][j-1],lp->A[lp->objrow-1][j-1]); dd_DualSimplexMaximize(lp,err); dd_neg(lp->optvalue,lp->optvalue); for (j=1; j<=lp->d; j++){ if (lp->LPS!=dd_Inconsistent) { /* Inconsistent certificate stays valid for minimization, 0.94e */ dd_neg(lp->dsol[j-1],lp->dsol[j-1]); } dd_neg(lp->A[lp->objrow-1][j-1],lp->A[lp->objrow-1][j-1]); } } void dd_DualSimplexMaximize(dd_LPPtr lp,dd_ErrorType *err) /* When LP is inconsistent then lp->re returns the evidence row. When LP is dual-inconsistent then lp->se returns the evidence column. */ { int stop,chosen,phase1,found; long pivots_ds=0,pivots_p0=0,pivots_p1=0,pivots_pc=0,maxpivots,maxpivfactor=20; dd_boolean localdebug=dd_FALSE,localdebug1=dd_FALSE; #if !defined GMPRATIONAL long maxccpivots,maxccpivfactor=100; /* criss-cross should not cycle, but with floating-point arithmetics, it happens (very rarely). Jorg Rambau reported such an LP, in August 2003. Thanks Jorg! */ #endif dd_rowrange i,r; dd_colrange j,s; static dd_rowindex bflag; static long mlast=0,nlast=0; static dd_rowindex OrderVector; /* the permutation vector to store a preordered row indeces */ static dd_colindex nbindex_ref; /* to be used to store the initial feasible basis for lexico rule */ double redpercent=0,redpercent_prev=0,redgain=0; unsigned int rseed=1; /* *err=dd_NoError; */ if (dd_debug) localdebug=dd_debug; set_emptyset(lp->redset_extra); for (i=0; i<= 4; i++) lp->pivots[i]=0; maxpivots=maxpivfactor*lp->d; /* maximum pivots to be performed before cc pivot is applied. */ #if !defined GMPRATIONAL maxccpivots=maxccpivfactor*lp->d; /* maximum pivots to be performed with emergency cc pivots. */ #endif if (mlast!=lp->m || nlast!=lp->d){ if (mlast>0) { /* called previously with different lp->m */ free(OrderVector); free(bflag); free(nbindex_ref); } OrderVector=(long *)calloc(lp->m+1,sizeof(*OrderVector)); bflag=(long *) calloc(lp->m+2,sizeof(*bflag)); /* one more element for an auxiliary variable */ nbindex_ref=(long*) calloc(lp->d+1,sizeof(long)); mlast=lp->m;nlast=lp->d; } /* Initializing control variables. */ dd_ComputeRowOrderVector2(lp->m,lp->d,lp->A,OrderVector,dd_MinIndex,rseed); lp->re=0; lp->se=0; dd_ResetTableau(lp->m,lp->d,lp->B,lp->nbindex,bflag,lp->objrow,lp->rhscol); dd_FindLPBasis(lp->m,lp->d,lp->A,lp->B,OrderVector,lp->equalityset,lp->nbindex,bflag, lp->objrow,lp->rhscol,&s,&found,&(lp->LPS),&pivots_p0); lp->pivots[0]=pivots_p0; if (!found){ lp->se=s; goto _L99; /* No LP basis is found, and thus Inconsistent. Output the evidence column. */ } dd_FindDualFeasibleBasis(lp->m,lp->d,lp->A,lp->B,OrderVector,lp->nbindex,bflag, lp->objrow,lp->rhscol,lp->lexicopivot,&s, err,&(lp->LPS),&pivots_p1, maxpivots); lp->pivots[1]=pivots_p1; for (j=1; j<=lp->d; j++) nbindex_ref[j]=lp->nbindex[j]; /* set the reference basis to be the current feasible basis. */ if (localdebug){ fprintf(stderr, "dd_DualSimplexMaximize: Store the current feasible basis:"); for (j=1; j<=lp->d; j++) fprintf(stderr, " %ld", nbindex_ref[j]); fprintf(stderr, "\n"); if (lp->m <=100 && lp->d <=30) dd_WriteSignTableau2(stdout,lp->m+1,lp->d,lp->A,lp->B,nbindex_ref,lp->nbindex,bflag); } if (*err==dd_LPCycling || *err==dd_NumericallyInconsistent){ if (localdebug) fprintf(stderr, "Phase I failed and thus switch to the Criss-Cross method\n"); dd_CrissCrossMaximize(lp,err); return; } if (lp->LPS==dd_DualInconsistent){ lp->se=s; goto _L99; /* No dual feasible basis is found, and thus DualInconsistent. Output the evidence column. */ } /* Dual Simplex Method */ stop=dd_FALSE; do { chosen=dd_FALSE; lp->LPS=dd_LPSundecided; phase1=dd_FALSE; if (pivots_dsm,lp->d,phase1,lp->A,lp->B,OrderVector,nbindex_ref,lp->nbindex,bflag, lp->objrow,lp->rhscol,lp->lexicopivot,&r,&s,&chosen,&(lp->LPS)); } if (chosen) { pivots_ds=pivots_ds+1; if (lp->redcheck_extensive) { dd_GetRedundancyInformation(lp->m,lp->d,lp->A,lp->B,lp->nbindex, bflag, lp->redset_extra); set_uni(lp->redset_accum, lp->redset_accum,lp->redset_extra); redpercent=100*(double)set_card(lp->redset_extra)/(double)lp->m; redgain=redpercent-redpercent_prev; redpercent_prev=redpercent; if (localdebug1){ fprintf(stderr,"\ndd_DualSimplexMaximize: Phase II pivot %ld on (%ld, %ld).\n",pivots_ds,r,s); fprintf(stderr," redundancy %f percent: redset size = %ld\n",redpercent,set_card(lp->redset_extra)); } } } if (!chosen && lp->LPS==dd_LPSundecided) { if (localdebug1){ fprintf(stderr,"Warning: an emergency CC pivot in Phase II is performed\n"); /* In principle this should not be executed because we already have dual feasibility attained and dual simplex pivot should have been chosen. This might occur under floating point computation, or the case of cycling. */ if (localdebug && lp->m <=100 && lp->d <=30){ fprintf(stderr,"\ndd_DualSimplexMaximize: The current dictionary.\n"); dd_WriteSignTableau2(stdout,lp->m,lp->d,lp->A,lp->B,nbindex_ref,lp->nbindex,bflag); } } #if !defined GMPRATIONAL if (pivots_pc>maxccpivots) { *err=dd_LPCycling; stop=dd_TRUE; goto _L99; } #endif dd_SelectCrissCrossPivot(lp->m,lp->d,lp->A,lp->B,bflag, lp->objrow,lp->rhscol,&r,&s,&chosen,&(lp->LPS)); if (chosen) pivots_pc=pivots_pc+1; } if (chosen) { dd_GaussianColumnPivot2(lp->m,lp->d,lp->A,lp->B,lp->nbindex,bflag,r,s); if (localdebug && lp->m <=100 && lp->d <=30){ fprintf(stderr,"\ndd_DualSimplexMaximize: The current dictionary.\n"); dd_WriteSignTableau2(stdout,lp->m,lp->d,lp->A,lp->B,nbindex_ref,lp->nbindex,bflag); } } else { switch (lp->LPS){ case dd_Inconsistent: lp->re=r; case dd_DualInconsistent: lp->se=s; default: break; } stop=dd_TRUE; } } while(!stop); _L99: lp->pivots[2]=pivots_ds; lp->pivots[3]=pivots_pc; dd_statDS2pivots+=pivots_ds; dd_statACpivots+=pivots_pc; dd_SetSolutions(lp->m,lp->d,lp->A,lp->B,lp->objrow,lp->rhscol,lp->LPS,&(lp->optvalue),lp->sol,lp->dsol,lp->posset_extra,lp->nbindex,lp->re,lp->se,bflag); } void dd_CrissCrossMinimize(dd_LPPtr lp,dd_ErrorType *err) { dd_colrange j; *err=dd_NoError; for (j=1; j<=lp->d; j++) dd_neg(lp->A[lp->objrow-1][j-1],lp->A[lp->objrow-1][j-1]); dd_CrissCrossMaximize(lp,err); dd_neg(lp->optvalue,lp->optvalue); for (j=1; j<=lp->d; j++){ if (lp->LPS!=dd_Inconsistent) { /* Inconsistent certificate stays valid for minimization, 0.94e */ dd_neg(lp->dsol[j-1],lp->dsol[j-1]); } dd_neg(lp->A[lp->objrow-1][j-1],lp->A[lp->objrow-1][j-1]); } } void dd_CrissCrossMaximize(dd_LPPtr lp,dd_ErrorType *err) /* When LP is inconsistent then lp->re returns the evidence row. When LP is dual-inconsistent then lp->se returns the evidence column. */ { int stop,chosen,found; long pivots0,pivots1; #if !defined GMPRATIONAL long maxpivots,maxpivfactor=1000; /* criss-cross should not cycle, but with floating-point arithmetics, it happens (very rarely). Jorg Rambau reported such an LP, in August 2003. Thanks Jorg! */ #endif dd_rowrange i,r; dd_colrange s; static dd_rowindex bflag; static long mlast=0; static dd_rowindex OrderVector; /* the permutation vector to store a preordered row indeces */ unsigned int rseed=1; dd_colindex nbtemp; *err=dd_NoError; #if !defined GMPRATIONAL maxpivots=maxpivfactor*lp->d; /* maximum pivots to be performed when floating-point arithmetics is used. */ #endif nbtemp=(long *) calloc(lp->d+1,sizeof(long)); for (i=0; i<= 4; i++) lp->pivots[i]=0; if (bflag==NULL || mlast!=lp->m){ if (mlast!=lp->m && mlast>0) { free(bflag); /* called previously with different lp->m */ free(OrderVector); } bflag=(long *) calloc(lp->m+1,sizeof(long)); OrderVector=(long *)calloc(lp->m+1,sizeof(long)); /* initialize only for the first time or when a larger space is needed */ mlast=lp->m; } /* Initializing control variables. */ dd_ComputeRowOrderVector2(lp->m,lp->d,lp->A,OrderVector,dd_MinIndex,rseed); lp->re=0; lp->se=0; pivots1=0; dd_ResetTableau(lp->m,lp->d,lp->B,lp->nbindex,bflag,lp->objrow,lp->rhscol); dd_FindLPBasis(lp->m,lp->d,lp->A,lp->B,OrderVector,lp->equalityset, lp->nbindex,bflag,lp->objrow,lp->rhscol,&s,&found,&(lp->LPS),&pivots0); lp->pivots[0]+=pivots0; if (!found){ lp->se=s; goto _L99; /* No LP basis is found, and thus Inconsistent. Output the evidence column. */ } stop=dd_FALSE; do { /* Criss-Cross Method */ #if !defined GMPRATIONAL if (pivots1>maxpivots) { *err=dd_LPCycling; fprintf(stderr,"max number %ld of pivots performed by the criss-cross method. Most likely due to the floating-point arithmetics error.\n", maxpivots); goto _L99; /* failure due to max no. of pivots performed */ } #endif dd_SelectCrissCrossPivot(lp->m,lp->d,lp->A,lp->B,bflag, lp->objrow,lp->rhscol,&r,&s,&chosen,&(lp->LPS)); if (chosen) { dd_GaussianColumnPivot2(lp->m,lp->d,lp->A,lp->B,lp->nbindex,bflag,r,s); pivots1++; } else { switch (lp->LPS){ case dd_Inconsistent: lp->re=r; case dd_DualInconsistent: lp->se=s; default: break; } stop=dd_TRUE; } } while(!stop); _L99: lp->pivots[1]+=pivots1; dd_statCCpivots+=pivots1; dd_SetSolutions(lp->m,lp->d,lp->A,lp->B, lp->objrow,lp->rhscol,lp->LPS,&(lp->optvalue),lp->sol,lp->dsol,lp->posset_extra,lp->nbindex,lp->re,lp->se,bflag); free(nbtemp); } void dd_SetSolutions(dd_rowrange m_size,dd_colrange d_size, dd_Amatrix A,dd_Bmatrix T, dd_rowrange objrow,dd_colrange rhscol,dd_LPStatusType LPS, mytype *optvalue,dd_Arow sol,dd_Arow dsol,dd_rowset posset, dd_colindex nbindex, dd_rowrange re,dd_colrange se,dd_rowindex bflag) /* Assign the solution vectors to sol,dsol,*optvalue after solving the LP. */ { dd_rowrange i; dd_colrange j; mytype x,sw; int localdebug=dd_FALSE; dd_init(x); dd_init(sw); if (localdebug) fprintf(stderr,"SetSolutions:\n"); switch (LPS){ case dd_Optimal: for (j=1;j<=d_size; j++) { dd_set(sol[j-1],T[j-1][rhscol-1]); dd_TableauEntry(&x,m_size,d_size,A,T,objrow,j); dd_neg(dsol[j-1],x); dd_TableauEntry(optvalue,m_size,d_size,A,T,objrow,rhscol); if (localdebug) {fprintf(stderr,"dsol[%ld]= ",nbindex[j]); dd_WriteNumber(stderr, dsol[j-1]); } } for (i=1; i<=m_size; i++) { if (bflag[i]==-1) { /* i is a basic variable */ dd_TableauEntry(&x,m_size,d_size,A,T,i,rhscol); if (dd_Positive(x)) set_addelem(posset, i); } } break; case dd_Inconsistent: if (localdebug) fprintf(stderr,"SetSolutions: LP is inconsistent.\n"); for (j=1;j<=d_size; j++) { dd_set(sol[j-1],T[j-1][rhscol-1]); dd_TableauEntry(&x,m_size,d_size,A,T,re,j); dd_neg(dsol[j-1],x); if (localdebug) {fprintf(stderr,"dsol[%ld]=",nbindex[j]); dd_WriteNumber(stderr,dsol[j-1]); fprintf(stderr,"\n"); } } break; case dd_DualInconsistent: if (localdebug) printf( "SetSolutions: LP is dual inconsistent.\n"); for (j=1;j<=d_size; j++) { dd_set(sol[j-1],T[j-1][se-1]); dd_TableauEntry(&x,m_size,d_size,A,T,objrow,j); dd_neg(dsol[j-1],x); if (localdebug) {fprintf(stderr,"dsol[%ld]=",nbindex[j]); dd_WriteNumber(stderr,dsol[j-1]); fprintf(stderr,"\n"); } } break; case dd_StrucDualInconsistent: dd_TableauEntry(&x,m_size,d_size,A,T,objrow,se); if (dd_Positive(x)) dd_set(sw,dd_one); else dd_neg(sw,dd_one); for (j=1;j<=d_size; j++) { dd_mul(sol[j-1],sw,T[j-1][se-1]); dd_TableauEntry(&x,m_size,d_size,A,T,objrow,j); dd_neg(dsol[j-1],x); if (localdebug) {fprintf(stderr,"dsol[%ld]= ",nbindex[j]);dd_WriteNumber(stderr,dsol[j-1]);} } if (localdebug) fprintf(stderr,"SetSolutions: LP is dual inconsistent.\n"); break; default:break; } dd_clear(x); dd_clear(sw); } void dd_RandomPermutation2(dd_rowindex OV,long t,unsigned int seed) { long k,j,ovj; double u,xk,r,rand_max=(double) RAND_MAX; int localdebug=dd_FALSE; srand(seed); for (j=t; j>1 ; j--) { r=rand(); u=r/rand_max; xk=(double)(j*u +1); k=(long)xk; if (localdebug) fprintf(stderr,"u=%g, k=%ld, r=%g, randmax= %g\n",u,k,r,rand_max); ovj=OV[j]; OV[j]=OV[k]; OV[k]=ovj; if (localdebug) fprintf(stderr,"row %ld is exchanged with %ld\n",j,k); } } void dd_ComputeRowOrderVector2(dd_rowrange m_size,dd_colrange d_size,dd_Amatrix A, dd_rowindex OV,dd_RowOrderType ho,unsigned int rseed) { long i,itemp; OV[0]=0; switch (ho){ case dd_MaxIndex: for(i=1; i<=m_size; i++) OV[i]=m_size-i+1; break; case dd_LexMin: for(i=1; i<=m_size; i++) OV[i]=i; dd_QuickSort(OV,1,m_size,A,d_size); break; case dd_LexMax: for(i=1; i<=m_size; i++) OV[i]=i; dd_QuickSort(OV,1,m_size,A,d_size); for(i=1; i<=m_size/2;i++){ /* just reverse the order */ itemp=OV[i]; OV[i]=OV[m_size-i+1]; OV[m_size-i+1]=itemp; } break; case dd_RandomRow: for(i=1; i<=m_size; i++) OV[i]=i; if (rseed<=0) rseed=1; dd_RandomPermutation2(OV,m_size,rseed); break; case dd_MinIndex: for(i=1; i<=m_size; i++) OV[i]=i; break; default: for(i=1; i<=m_size; i++) OV[i]=i; break; } } void dd_SelectPreorderedNext2(dd_rowrange m_size,dd_colrange d_size, rowset excluded,dd_rowindex OV,dd_rowrange *hnext) { dd_rowrange i,k; *hnext=0; for (i=1; i<=m_size && *hnext==0; i++){ k=OV[i]; if (!set_member(k,excluded)) *hnext=k ; } } #ifdef GMPRATIONAL ddf_LPObjectiveType Obj2Obj(dd_LPObjectiveType obj) { ddf_LPObjectiveType objf=ddf_LPnone; switch (obj) { case dd_LPnone: objf=ddf_LPnone; break; case dd_LPmax: objf=ddf_LPmax; break; case dd_LPmin: objf=ddf_LPmin; break; } return objf; } ddf_LPPtr dd_LPgmp2LPf(dd_LPPtr lp) { dd_rowrange i; dd_colrange j; ddf_LPType *lpf; double val; dd_boolean localdebug=dd_FALSE; if (localdebug) fprintf(stderr,"Converting a GMP-LP to a float-LP.\n"); lpf=ddf_CreateLPData(Obj2Obj(lp->objective), ddf_Real, lp->m, lp->d); lpf->Homogeneous = lp->Homogeneous; lpf->eqnumber=lp->eqnumber; /* this records the number of equations */ for (i = 1; i <= lp->m; i++) { if (set_member(i, lp->equalityset)) set_addelem(lpf->equalityset,i); /* it is equality. Its reversed row will not be in this set */ for (j = 1; j <= lp->d; j++) { val=mpq_get_d(lp->A[i-1][j-1]); ddf_set_d(lpf->A[i-1][j-1],val); } /*of j*/ } /*of i*/ return lpf; } #endif dd_boolean dd_LPSolve(dd_LPPtr lp,dd_LPSolverType solver,dd_ErrorType *err) /* The current version of dd_LPSolve that solves an LP with floating-arithmetics first and then with the specified arithimetics if it is GMP. When LP is inconsistent then *re returns the evidence row. When LP is dual-inconsistent then *se returns the evidence column. */ { int i; dd_boolean found=dd_FALSE; #ifdef GMPRATIONAL ddf_LPPtr lpf; ddf_ErrorType errf; dd_boolean LPScorrect=dd_FALSE; dd_boolean localdebug=dd_FALSE; if (dd_debug) localdebug=dd_debug; #endif *err=dd_NoError; lp->solver=solver; time(&lp->starttime); #ifndef GMPRATIONAL switch (lp->solver) { case dd_CrissCross: dd_CrissCrossSolve(lp,err); break; case dd_DualSimplex: dd_DualSimplexSolve(lp,err); break; } #else lpf=dd_LPgmp2LPf(lp); switch (lp->solver) { case dd_CrissCross: ddf_CrissCrossSolve(lpf,&errf); /* First, run with double float. */ if (errf==ddf_NoError){ /* 094a: fix for a bug reported by Dima Pasechnik */ dd_BasisStatus(lpf,lp, &LPScorrect); /* Check the basis. */ } else {LPScorrect=dd_FALSE;} if (!LPScorrect) { if (localdebug) printf("BasisStatus: the current basis is NOT verified with GMP. Rerun with GMP.\n"); dd_CrissCrossSolve(lp,err); /* Rerun with GMP if fails. */ } else { if (localdebug) printf("BasisStatus: the current basis is verified with GMP. The LP Solved.\n"); } break; case dd_DualSimplex: ddf_DualSimplexSolve(lpf,&errf); /* First, run with double float. */ if (errf==ddf_NoError){ /* 094a: fix for a bug reported by Dima Pasechnik */ dd_BasisStatus(lpf,lp, &LPScorrect); /* Check the basis. */ } else {LPScorrect=dd_FALSE;} if (!LPScorrect){ if (localdebug) printf("BasisStatus: the current basis is NOT verified with GMP. Rerun with GMP.\n"); dd_DualSimplexSolve(lp,err); /* Rerun with GMP if fails. */ if (localdebug){ printf("*total number pivots = %ld (ph0 = %ld, ph1 = %ld, ph2 = %ld, ph3 = %ld, ph4 = %ld)\n", lp->total_pivots,lp->pivots[0],lp->pivots[1],lp->pivots[2],lp->pivots[3],lp->pivots[4]); ddf_WriteLPResult(stdout, lpf, errf); dd_WriteLP(stdout, lp); } } else { if (localdebug) printf("BasisStatus: the current basis is verified with GMP. The LP Solved.\n"); } break; } ddf_FreeLPData(lpf); #endif time(&lp->endtime); lp->total_pivots=0; for (i=0; i<=4; i++) lp->total_pivots+=lp->pivots[i]; if (*err==dd_NoError) found=dd_TRUE; return found; } dd_boolean dd_LPSolve0(dd_LPPtr lp,dd_LPSolverType solver,dd_ErrorType *err) /* The original version of dd_LPSolve that solves an LP with specified arithimetics. When LP is inconsistent then *re returns the evidence row. When LP is dual-inconsistent then *se returns the evidence column. */ { int i; dd_boolean found=dd_FALSE; *err=dd_NoError; lp->solver=solver; time(&lp->starttime); switch (lp->solver) { case dd_CrissCross: dd_CrissCrossSolve(lp,err); break; case dd_DualSimplex: dd_DualSimplexSolve(lp,err); break; } time(&lp->endtime); lp->total_pivots=0; for (i=0; i<=4; i++) lp->total_pivots+=lp->pivots[i]; if (*err==dd_NoError) found=dd_TRUE; return found; } dd_LPPtr dd_MakeLPforInteriorFinding(dd_LPPtr lp) /* Delete the objective row, add an extra column with -1's to the matrix A, add an extra row with (bceil, 0,...,0,-1), add an objective row with (0,...,0,1), and rows & columns, and change m_size and d_size accordingly, to output new_A. This sets up the LP: maximize x_{d+1} s.t. A x + x_{d+1} <= b x_{d+1} <= bm * bmax, where bm is set to 2 by default, and bmax=max{1, b[1],...,b[m_size]}. Note that the equalitions (linearity) in the input lp will be ignored. */ { dd_rowrange m; dd_colrange d; dd_NumberType numbtype; dd_LPObjectiveType obj; dd_LPType *lpnew; dd_rowrange i; dd_colrange j; mytype bm,bmax,bceil; int localdebug=dd_FALSE; dd_init(bm); dd_init(bmax); dd_init(bceil); dd_add(bm,dd_one,dd_one); dd_set(bmax,dd_one); numbtype=lp->numbtype; m=lp->m+1; d=lp->d+1; obj=dd_LPmax; lpnew=dd_CreateLPData(obj, numbtype, m, d); for (i=1; i<=lp->m; i++) { if (dd_Larger(lp->A[i-1][lp->rhscol-1],bmax)) dd_set(bmax,lp->A[i-1][lp->rhscol-1]); } dd_mul(bceil,bm,bmax); if (localdebug) {fprintf(stderr,"bceil is set to "); dd_WriteNumber(stderr, bceil);} for (i=1; i <= lp->m; i++) { for (j=1; j <= lp->d; j++) { dd_set(lpnew->A[i-1][j-1],lp->A[i-1][j-1]); } } for (i=1;i<=lp->m; i++){ dd_neg(lpnew->A[i-1][lp->d],dd_one); /* new column with all minus one's */ } for (j=1;j<=lp->d;j++){ dd_set(lpnew->A[m-2][j-1],dd_purezero); /* new row (bceil, 0,...,0,-1) */ } dd_set(lpnew->A[m-2][0],bceil); /* new row (bceil, 0,...,0,-1) */ for (j=1;j<= d-1;j++) { dd_set(lpnew->A[m-1][j-1],dd_purezero); /* new obj row with (0,...,0,1) */ } dd_set(lpnew->A[m-1][d-1],dd_one); /* new obj row with (0,...,0,1) */ if (localdebug) dd_WriteAmatrix(stderr, lp->A, lp->m, lp->d); if (localdebug) dd_WriteAmatrix(stderr, lpnew->A, lpnew->m, lpnew->d); dd_clear(bm); dd_clear(bmax); dd_clear(bceil); return lpnew; } void dd_WriteLPResult(FILE *f,dd_LPPtr lp,dd_ErrorType err) { long j; fprintf(f,"* cdd LP solver result\n"); if (err!=dd_NoError) { dd_WriteErrorMessages(f,err); goto _L99; } dd_WriteProgramDescription(f); fprintf(f,"* #constraints = %ld\n",lp->m-1); fprintf(f,"* #variables = %ld\n",lp->d-1); switch (lp->solver) { case dd_DualSimplex: fprintf(f,"* Algorithm: dual simplex algorithm\n");break; case dd_CrissCross: fprintf(f,"* Algorithm: criss-cross method\n");break; } switch (lp->objective) { case dd_LPmax: fprintf(f,"* maximization is chosen\n");break; case dd_LPmin: fprintf(f,"* minimization is chosen\n");break; case dd_LPnone: fprintf(f,"* no objective type (max or min) is chosen\n");break; } if (lp->objective==dd_LPmax||lp->objective==dd_LPmin){ fprintf(f,"* Objective function is\n"); for (j=0; jd; j++){ if (j>0 && dd_Nonnegative(lp->A[lp->objrow-1][j]) ) fprintf(f," +"); if (j>0 && (j % 5) == 0) fprintf(f,"\n"); dd_WriteNumber(f,lp->A[lp->objrow-1][j]); if (j>0) fprintf(f," X[%3ld]",j); } fprintf(f,"\n"); } switch (lp->LPS){ case dd_Optimal: fprintf(f,"* LP status: a dual pair (x,y) of optimal solutions found.\n"); fprintf(f,"begin\n"); fprintf(f," primal_solution\n"); for (j=1; jd; j++) { fprintf(f," %3ld : ",j); dd_WriteNumber(f,lp->sol[j]); fprintf(f,"\n"); } fprintf(f," dual_solution\n"); for (j=1; jd; j++){ if (lp->nbindex[j+1]>0) { fprintf(f," %3ld : ",lp->nbindex[j+1]); dd_WriteNumber(f,lp->dsol[j]); fprintf(f,"\n"); } } fprintf(f," optimal_value : "); dd_WriteNumber(f,lp->optvalue); fprintf(f,"\nend\n"); break; case dd_Inconsistent: fprintf(f,"* LP status: LP is inconsistent.\n"); fprintf(f,"* The positive combination of original inequalities with\n"); fprintf(f,"* the following coefficients will prove the inconsistency.\n"); fprintf(f,"begin\n"); fprintf(f," dual_direction\n"); fprintf(f," %3ld : ",lp->re); dd_WriteNumber(f,dd_one); fprintf(f,"\n"); for (j=1; jd; j++){ if (lp->nbindex[j+1]>0) { fprintf(f," %3ld : ",lp->nbindex[j+1]); dd_WriteNumber(f,lp->dsol[j]); fprintf(f,"\n"); } } fprintf(f,"end\n"); break; case dd_DualInconsistent: case dd_StrucDualInconsistent: fprintf(f,"* LP status: LP is dual inconsistent.\n"); fprintf(f,"* The linear combination of columns with\n"); fprintf(f,"* the following coefficients will prove the dual inconsistency.\n"); fprintf(f,"* (It is also an unbounded direction for the primal LP.)\n"); fprintf(f,"begin\n"); fprintf(f," primal_direction\n"); for (j=1; jd; j++) { fprintf(f," %3ld : ",j); dd_WriteNumber(f,lp->sol[j]); fprintf(f,"\n"); } fprintf(f,"end\n"); break; default: break; } fprintf(f,"* number of pivot operations = %ld (ph0 = %ld, ph1 = %ld, ph2 = %ld, ph3 = %ld, ph4 = %ld)\n",lp->total_pivots,lp->pivots[0],lp->pivots[1],lp->pivots[2],lp->pivots[3],lp->pivots[4]); dd_WriteLPTimes(f, lp); _L99:; } dd_LPPtr dd_CreateLP_H_ImplicitLinearity(dd_MatrixPtr M) { dd_rowrange m, i, irev, linc; dd_colrange d, j; dd_LPPtr lp; dd_boolean localdebug=dd_FALSE; linc=set_card(M->linset); m=M->rowsize+1+linc+1; /* We represent each equation by two inequalities. This is not the best way but makes the code simple. */ d=M->colsize+1; lp=dd_CreateLPData(M->objective, M->numbtype, m, d); lp->Homogeneous = dd_TRUE; lp->objective = dd_LPmax; lp->eqnumber=linc; /* this records the number of equations */ lp->redcheck_extensive=dd_FALSE; /* this is default */ irev=M->rowsize; /* the first row of the linc reversed inequalities. */ for (i = 1; i <= M->rowsize; i++) { if (set_member(i, M->linset)) { irev=irev+1; set_addelem(lp->equalityset,i); /* it is equality. */ /* the reversed row irev is not in the equality set. */ for (j = 1; j <= M->colsize; j++) { dd_neg(lp->A[irev-1][j-1],M->matrix[i-1][j-1]); } /*of j*/ } else { dd_set(lp->A[i-1][d-1],dd_minusone); /* b_I + A_I x - 1 z >= 0 (z=x_d) */ } for (j = 1; j <= M->colsize; j++) { dd_set(lp->A[i-1][j-1],M->matrix[i-1][j-1]); if (j==1 && irowsize && dd_Nonzero(M->matrix[i-1][j-1])) lp->Homogeneous = dd_FALSE; } /*of j*/ } /*of i*/ dd_set(lp->A[m-2][0],dd_one); dd_set(lp->A[m-2][d-1],dd_minusone); /* make the LP bounded. */ dd_set(lp->A[m-1][d-1],dd_one); /* objective is to maximize z. */ if (localdebug) { fprintf(stderr,"dd_CreateLP_H_ImplicitLinearity: an new lp is\n"); dd_WriteLP(stderr,lp); } return lp; } dd_LPPtr dd_CreateLP_V_ImplicitLinearity(dd_MatrixPtr M) { dd_rowrange m, i, irev, linc; dd_colrange d, j; dd_LPPtr lp; dd_boolean localdebug=dd_FALSE; linc=set_card(M->linset); m=M->rowsize+1+linc+1; /* We represent each equation by two inequalities. This is not the best way but makes the code simple. */ d=(M->colsize)+2; /* Two more columns. This is different from the H-reprentation case */ /* The below must be modified for V-representation!!! */ lp=dd_CreateLPData(M->objective, M->numbtype, m, d); lp->Homogeneous = dd_FALSE; lp->objective = dd_LPmax; lp->eqnumber=linc; /* this records the number of equations */ lp->redcheck_extensive=dd_FALSE; /* this is default */ irev=M->rowsize; /* the first row of the linc reversed inequalities. */ for (i = 1; i <= M->rowsize; i++) { dd_set(lp->A[i-1][0],dd_purezero); /* It is almost completely degerate LP */ if (set_member(i, M->linset)) { irev=irev+1; set_addelem(lp->equalityset,i); /* it is equality. */ /* the reversed row irev is not in the equality set. */ for (j = 2; j <= (M->colsize)+1; j++) { dd_neg(lp->A[irev-1][j-1],M->matrix[i-1][j-2]); } /*of j*/ if (localdebug) fprintf(stderr,"equality row %ld generates the reverse row %ld.\n",i,irev); } else { dd_set(lp->A[i-1][d-1],dd_minusone); /* b_I x_0 + A_I x - 1 z >= 0 (z=x_d) */ } for (j = 2; j <= (M->colsize)+1; j++) { dd_set(lp->A[i-1][j-1],M->matrix[i-1][j-2]); } /*of j*/ } /*of i*/ dd_set(lp->A[m-2][0],dd_one); dd_set(lp->A[m-2][d-1],dd_minusone); /* make the LP bounded. */ dd_set(lp->A[m-1][d-1],dd_one); /* objective is to maximize z. */ if (localdebug) { fprintf(stderr,"dd_CreateLP_V_ImplicitLinearity: an new lp is\n"); dd_WriteLP(stderr,lp); } return lp; } dd_LPPtr dd_CreateLP_H_Redundancy(dd_MatrixPtr M, dd_rowrange itest) { dd_rowrange m, i, irev, linc; dd_colrange d, j; dd_LPPtr lp; dd_boolean localdebug=dd_FALSE; linc=set_card(M->linset); m=M->rowsize+1+linc; /* We represent each equation by two inequalities. This is not the best way but makes the code simple. */ d=M->colsize; lp=dd_CreateLPData(M->objective, M->numbtype, m, d); lp->Homogeneous = dd_TRUE; lp->objective = dd_LPmin; lp->eqnumber=linc; /* this records the number of equations */ lp->redcheck_extensive=dd_FALSE; /* this is default */ irev=M->rowsize; /* the first row of the linc reversed inequalities. */ for (i = 1; i <= M->rowsize; i++) { if (set_member(i, M->linset)) { irev=irev+1; set_addelem(lp->equalityset,i); /* it is equality. */ /* the reversed row irev is not in the equality set. */ for (j = 1; j <= M->colsize; j++) { dd_neg(lp->A[irev-1][j-1],M->matrix[i-1][j-1]); } /*of j*/ if (localdebug) fprintf(stderr,"equality row %ld generates the reverse row %ld.\n",i,irev); } for (j = 1; j <= M->colsize; j++) { dd_set(lp->A[i-1][j-1],M->matrix[i-1][j-1]); if (j==1 && irowsize && dd_Nonzero(M->matrix[i-1][j-1])) lp->Homogeneous = dd_FALSE; } /*of j*/ } /*of i*/ for (j = 1; j <= M->colsize; j++) { dd_set(lp->A[m-1][j-1],M->matrix[itest-1][j-1]); /* objective is to violate the inequality in question. */ } /*of j*/ dd_add(lp->A[itest-1][0],lp->A[itest-1][0],dd_one); /* relax the original inequality by one */ return lp; } dd_LPPtr dd_CreateLP_V_Redundancy(dd_MatrixPtr M, dd_rowrange itest) { dd_rowrange m, i, irev, linc; dd_colrange d, j; dd_LPPtr lp; dd_boolean localdebug=dd_FALSE; linc=set_card(M->linset); m=M->rowsize+1+linc; /* We represent each equation by two inequalities. This is not the best way but makes the code simple. */ d=(M->colsize)+1; /* One more column. This is different from the H-reprentation case */ /* The below must be modified for V-representation!!! */ lp=dd_CreateLPData(M->objective, M->numbtype, m, d); lp->Homogeneous = dd_FALSE; lp->objective = dd_LPmin; lp->eqnumber=linc; /* this records the number of equations */ lp->redcheck_extensive=dd_FALSE; /* this is default */ irev=M->rowsize; /* the first row of the linc reversed inequalities. */ for (i = 1; i <= M->rowsize; i++) { if (i==itest){ dd_set(lp->A[i-1][0],dd_one); /* this is to make the LP bounded, ie. the min >= -1 */ } else { dd_set(lp->A[i-1][0],dd_purezero); /* It is almost completely degerate LP */ } if (set_member(i, M->linset)) { irev=irev+1; set_addelem(lp->equalityset,i); /* it is equality. */ /* the reversed row irev is not in the equality set. */ for (j = 2; j <= (M->colsize)+1; j++) { dd_neg(lp->A[irev-1][j-1],M->matrix[i-1][j-2]); } /*of j*/ if (localdebug) fprintf(stderr,"equality row %ld generates the reverse row %ld.\n",i,irev); } for (j = 2; j <= (M->colsize)+1; j++) { dd_set(lp->A[i-1][j-1],M->matrix[i-1][j-2]); } /*of j*/ } /*of i*/ for (j = 2; j <= (M->colsize)+1; j++) { dd_set(lp->A[m-1][j-1],M->matrix[itest-1][j-2]); /* objective is to violate the inequality in question. */ } /*of j*/ dd_set(lp->A[m-1][0],dd_purezero); /* the constant term for the objective is zero */ if (localdebug) dd_WriteLP(stdout, lp); return lp; } dd_LPPtr dd_CreateLP_V_SRedundancy(dd_MatrixPtr M, dd_rowrange itest) { /* V-representation (=boundary problem) g* = maximize 1^T b_{I-itest} x_0 + 1^T A_{I-itest} (the sum of slacks) subject to b_itest x_0 + A_itest x = 0 (the point has to lie on the boundary) b_{I-itest} x_0 + A_{I-itest} x >= 0 (all nonlinearity generators in one side) 1^T b_{I-itest} x_0 + 1^T A_{I-itest} x <= 1 (to make an LP bounded) b_L x_0 + A_L x = 0. (linearity generators) The redundant row is strongly redundant if and only if g* is zero. */ dd_rowrange m, i, irev, linc; dd_colrange d, j; dd_LPPtr lp; dd_boolean localdebug=dd_FALSE; linc=set_card(M->linset); m=M->rowsize+1+linc+2; /* We represent each equation by two inequalities. This is not the best way but makes the code simple. Two extra constraints are for the first equation and the bouding inequality. */ d=(M->colsize)+1; /* One more column. This is different from the H-reprentation case */ /* The below must be modified for V-representation!!! */ lp=dd_CreateLPData(M->objective, M->numbtype, m, d); lp->Homogeneous = dd_FALSE; lp->objective = dd_LPmax; lp->eqnumber=linc; /* this records the number of equations */ irev=M->rowsize; /* the first row of the linc reversed inequalities. */ for (i = 1; i <= M->rowsize; i++) { if (i==itest){ dd_set(lp->A[i-1][0],dd_purezero); /* this is a half of the boundary constraint. */ } else { dd_set(lp->A[i-1][0],dd_purezero); /* It is almost completely degerate LP */ } if (set_member(i, M->linset) || i==itest) { irev=irev+1; set_addelem(lp->equalityset,i); /* it is equality. */ /* the reversed row irev is not in the equality set. */ for (j = 2; j <= (M->colsize)+1; j++) { dd_neg(lp->A[irev-1][j-1],M->matrix[i-1][j-2]); } /*of j*/ if (localdebug) fprintf(stderr,"equality row %ld generates the reverse row %ld.\n",i,irev); } for (j = 2; j <= (M->colsize)+1; j++) { dd_set(lp->A[i-1][j-1],M->matrix[i-1][j-2]); dd_add(lp->A[m-1][j-1],lp->A[m-1][j-1],lp->A[i-1][j-1]); /* the objective is the sum of all ineqalities */ } /*of j*/ } /*of i*/ for (j = 2; j <= (M->colsize)+1; j++) { dd_neg(lp->A[m-2][j-1],lp->A[m-1][j-1]); /* to make an LP bounded. */ } /*of j*/ dd_set(lp->A[m-2][0],dd_one); /* the constant term for the bounding constraint is 1 */ if (localdebug) dd_WriteLP(stdout, lp); return lp; } dd_boolean dd_Redundant(dd_MatrixPtr M, dd_rowrange itest, dd_Arow certificate, dd_ErrorType *error) /* 092 */ { /* Checks whether the row itest is redundant for the representation. All linearity rows are not checked and considered NONredundant. This code works for both H- and V-representations. A certificate is given in the case of non-redundancy, showing a solution x violating only the itest inequality for H-representation, a hyperplane RHS and normal (x_0, x) that separates the itest from the rest. More explicitly, the LP to be setup is H-representation f* = minimize b_itest + A_itest x subject to b_itest + 1 + A_itest x >= 0 (relaxed inequality to make an LP bounded) b_{I-itest} + A_{I-itest} x >= 0 (all inequalities except for itest) b_L + A_L x = 0. (linearity) V-representation (=separation problem) f* = minimize b_itest x_0 + A_itest x subject to b_itest x_0 + A_itest x >= -1 (to make an LP bounded) b_{I-itest} x_0 + A_{I-itest} x >= 0 (all nonlinearity generators except for itest in one side) b_L x_0 + A_L x = 0. (linearity generators) Here, the input matrix is considered as (b, A), i.e. b corresponds to the first column of input and the row indices of input is partitioned into I and L where L is the set of linearity. In both cases, the itest data is nonredundant if and only if the optimal value f* is negative. The certificate has dimension one more for V-representation case. */ dd_colrange j; dd_LPPtr lp; dd_LPSolutionPtr lps; dd_ErrorType err=dd_NoError; dd_boolean answer=dd_FALSE,localdebug=dd_FALSE; *error=dd_NoError; if (set_member(itest, M->linset)){ if (localdebug) printf("The %ld th row is linearity and redundancy checking is skipped.\n",itest); goto _L99; } /* Create an LP data for redundancy checking */ if (M->representation==dd_Generator){ lp=dd_CreateLP_V_Redundancy(M, itest); } else { lp=dd_CreateLP_H_Redundancy(M, itest); } dd_LPSolve(lp,dd_choiceRedcheckAlgorithm,&err); if (err!=dd_NoError){ *error=err; goto _L999; } else { lps=dd_CopyLPSolution(lp); for (j=0; jd; j++) { dd_set(certificate[j], lps->sol[j]); } if (dd_Negative(lps->optvalue)){ answer=dd_FALSE; if (localdebug) fprintf(stderr,"==> %ld th row is nonredundant.\n",itest); } else { answer=dd_TRUE; if (localdebug) fprintf(stderr,"==> %ld th row is redundant.\n",itest); } dd_FreeLPSolution(lps); } _L999: dd_FreeLPData(lp); _L99: return answer; } dd_boolean dd_RedundantExtensive(dd_MatrixPtr M, dd_rowrange itest, dd_Arow certificate, dd_rowset *redset,dd_ErrorType *error) /* 094 */ { /* This uses the same LP construction as dd_Reduandant. But, while it is checking the redundancy of itest, it also tries to find some other variable that are redundant (i.e. forced to be nonnegative). This is expensive as it used the complete tableau information at each DualSimplex pivot. The redset must be initialized before this function is called. */ dd_colrange j; dd_LPPtr lp; dd_LPSolutionPtr lps; dd_ErrorType err=dd_NoError; dd_boolean answer=dd_FALSE,localdebug=dd_FALSE; *error=dd_NoError; if (set_member(itest, M->linset)){ if (localdebug) printf("The %ld th row is linearity and redundancy checking is skipped.\n",itest); goto _L99; } /* Create an LP data for redundancy checking */ if (M->representation==dd_Generator){ lp=dd_CreateLP_V_Redundancy(M, itest); } else { lp=dd_CreateLP_H_Redundancy(M, itest); } lp->redcheck_extensive=dd_TRUE; dd_LPSolve0(lp,dd_DualSimplex,&err); if (err!=dd_NoError){ *error=err; goto _L999; } else { set_copy(*redset,lp->redset_extra); set_delelem(*redset, itest); /* itest row might be redundant in the lp but this has nothing to do with its redundancy in the original system M. Thus we must delete it. */ if (localdebug){ fprintf(stderr, "dd_RedundantExtensive: checking for %ld, extra redset with cardinality %ld (%ld)\n",itest,set_card(*redset),set_card(lp->redset_extra)); set_fwrite(stderr, *redset); fprintf(stderr, "\n"); } lps=dd_CopyLPSolution(lp); for (j=0; jd; j++) { dd_set(certificate[j], lps->sol[j]); } if (dd_Negative(lps->optvalue)){ answer=dd_FALSE; if (localdebug) fprintf(stderr,"==> %ld th row is nonredundant.\n",itest); } else { answer=dd_TRUE; if (localdebug) fprintf(stderr,"==> %ld th row is redundant.\n",itest); } dd_FreeLPSolution(lps); } _L999: dd_FreeLPData(lp); _L99: return answer; } dd_rowset dd_RedundantRows(dd_MatrixPtr M, dd_ErrorType *error) /* 092 */ { dd_rowrange i,m; dd_colrange d; dd_rowset redset; dd_MatrixPtr Mcopy; dd_Arow cvec; /* certificate */ dd_boolean localdebug=dd_FALSE; m=M->rowsize; if (M->representation==dd_Generator){ d=(M->colsize)+1; } else { d=M->colsize; } Mcopy=dd_MatrixCopy(M); dd_InitializeArow(d,&cvec); set_initialize(&redset, m); for (i=m; i>=1; i--) { if (dd_Redundant(Mcopy, i, cvec, error)) { if (localdebug) printf("dd_RedundantRows: the row %ld is redundant.\n", i); set_addelem(redset, i); dd_MatrixRowRemove(&Mcopy, i); } else { if (localdebug) printf("dd_RedundantRows: the row %ld is essential.\n", i); } if (*error!=dd_NoError) goto _L99; } _L99: dd_FreeMatrix(Mcopy); dd_FreeArow(d, cvec); return redset; } dd_boolean dd_MatrixRedundancyRemove(dd_MatrixPtr *M, dd_rowset *redset,dd_rowindex *newpos, dd_ErrorType *error) /* 094 */ { /* It returns the set of all redundant rows. This should be called after all implicit linearity are recognized with dd_MatrixCanonicalizeLinearity. */ dd_rowrange i,k,m,m1; dd_colrange d; dd_rowset redset1; dd_rowindex newpos1; dd_MatrixPtr M1=NULL; dd_Arow cvec; /* certificate */ dd_boolean success=dd_FALSE, localdebug=dd_FALSE; m=(*M)->rowsize; set_initialize(redset, m); M1=dd_MatrixSortedUniqueCopy(*M,newpos); for (i=1; i<=m; i++){ if ((*newpos)[i]<=0) set_addelem(*redset,i); if (localdebug) printf(" %ld:%ld",i,(*newpos)[i]); } if (localdebug) printf("\n"); if ((*M)->representation==dd_Generator){ d=((*M)->colsize)+1; } else { d=(*M)->colsize; } m1=M1->rowsize; if (localdebug){ fprintf(stderr,"dd_MatrixRedundancyRemove: By sorting, %ld rows have been removed. The remaining has %ld rows.\n",m-m1,m1); /* dd_WriteMatrix(stdout,M1); */ } dd_InitializeArow(d,&cvec); set_initialize(&redset1, M1->rowsize); k=1; do { if (dd_RedundantExtensive(M1, k, cvec, &redset1,error)) { set_addelem(redset1, k); dd_MatrixRowsRemove2(&M1,redset1,&newpos1); for (i=1; i<=m; i++){ if ((*newpos)[i]>0){ if (set_member((*newpos)[i],redset1)){ set_addelem(*redset,i); (*newpos)[i]=0; /* now the original row i is recognized redundant and removed from M1 */ } else { (*newpos)[i]=newpos1[(*newpos)[i]]; /* update the new pos vector */ } } } set_free(redset1); set_initialize(&redset1, M1->rowsize); if (localdebug) { printf("dd_MatrixRedundancyRemove: the row %ld is redundant. The new matrix has %ld rows.\n", k, M1->rowsize); /* dd_WriteMatrix(stderr, M1); */ } free(newpos1); } else { if (set_card(redset1)>0) { dd_MatrixRowsRemove2(&M1,redset1,&newpos1); for (i=1; i<=m; i++){ if ((*newpos)[i]>0){ if (set_member((*newpos)[i],redset1)){ set_addelem(*redset,i); (*newpos)[i]=0; /* now the original row i is recognized redundant and removed from M1 */ } else { (*newpos)[i]=newpos1[(*newpos)[i]]; /* update the new pos vector */ } } } set_free(redset1); set_initialize(&redset1, M1->rowsize); free(newpos1); } if (localdebug) { printf("dd_MatrixRedundancyRemove: the row %ld is essential. The new matrix has %ld rows.\n", k, M1->rowsize); /* dd_WriteMatrix(stderr, M1); */ } k=k+1; } if (*error!=dd_NoError) goto _L99; } while (k<=M1->rowsize); if (localdebug) dd_WriteMatrix(stderr, M1); success=dd_TRUE; _L99: dd_FreeMatrix(*M); *M=M1; dd_FreeArow(d, cvec); set_free(redset1); return success; } dd_boolean dd_SRedundant(dd_MatrixPtr M, dd_rowrange itest, dd_Arow certificate, dd_ErrorType *error) /* 093a */ { /* Checks whether the row itest is strongly redundant for the representation. A row is strongly redundant in H-representation if every point in the polyhedron satisfies it with strict inequality. A row is strongly redundant in V-representation if this point is in the interior of the polyhedron. All linearity rows are not checked and considered NOT strongly redundant. This code works for both H- and V-representations. A certificate is given in the case of non-redundancy, showing a solution x violating only the itest inequality for H-representation, a hyperplane RHS and normal (x_0, x) that separates the itest from the rest. More explicitly, the LP to be setup is H-representation f* = minimize b_itest + A_itest x subject to b_itest + 1 + A_itest x >= 0 (relaxed inequality to make an LP bounded) b_{I-itest} + A_{I-itest} x >= 0 (all inequalities except for itest) b_L + A_L x = 0. (linearity) V-representation (=separation problem) f* = minimize b_itest x_0 + A_itest x subject to b_itest x_0 + A_itest x >= -1 (to make an LP bounded) b_{I-itest} x_0 + A_{I-itest} x >= 0 (all nonlinearity generators except for itest in one side) b_L x_0 + A_L x = 0. (linearity generators) Here, the input matrix is considered as (b, A), i.e. b corresponds to the first column of input and the row indices of input is partitioned into I and L where L is the set of linearity. In H-representation, the itest data is strongly redundant if and only if the optimal value f* is positive. In V-representation, the itest data is redundant if and only if the optimal value f* is zero (as the LP is homogeneous and the optimal value is always non-positive). To recognize strong redundancy, one can set up a second LP V-representation (=boundary problem) g* = maximize 1^T b_{I-itest} x_0 + 1^T A_{I-itest} (the sum of slacks) subject to b_itest x_0 + A_itest x = 0 (the point has to lie on the boundary) b_{I-itest} x_0 + A_{I-itest} x >= 0 (all nonlinearity generators in one side) 1^T b_{I-itest} x_0 + 1^T A_{I-itest} x <= 1 (to make an LP bounded) b_L x_0 + A_L x = 0. (linearity generators) The redundant row is strongly redundant if and only if g* is zero. The certificate has dimension one more for V-representation case. */ dd_colrange j; dd_LPPtr lp; dd_LPSolutionPtr lps; dd_ErrorType err=dd_NoError; dd_boolean answer=dd_FALSE,localdebug=dd_FALSE; *error=dd_NoError; if (set_member(itest, M->linset)){ if (localdebug) printf("The %ld th row is linearity and strong redundancy checking is skipped.\n",itest); goto _L99; } /* Create an LP data for redundancy checking */ if (M->representation==dd_Generator){ lp=dd_CreateLP_V_Redundancy(M, itest); } else { lp=dd_CreateLP_H_Redundancy(M, itest); } dd_LPSolve(lp,dd_choiceRedcheckAlgorithm,&err); if (err!=dd_NoError){ *error=err; goto _L999; } else { lps=dd_CopyLPSolution(lp); for (j=0; jd; j++) { dd_set(certificate[j], lps->sol[j]); } if (localdebug){ printf("Optimum value:"); dd_WriteNumber(stdout, lps->optvalue); printf("\n"); } if (M->representation==dd_Inequality){ if (dd_Positive(lps->optvalue)){ answer=dd_TRUE; if (localdebug) fprintf(stderr,"==> %ld th inequality is strongly redundant.\n",itest); } else { answer=dd_FALSE; if (localdebug) fprintf(stderr,"==> %ld th inequality is not strongly redundant.\n",itest); } } else { if (dd_Negative(lps->optvalue)){ answer=dd_FALSE; if (localdebug) fprintf(stderr,"==> %ld th point is not strongly redundant.\n",itest); } else { /* for V-representation, we have to solve another LP */ dd_FreeLPData(lp); dd_FreeLPSolution(lps); lp=dd_CreateLP_V_SRedundancy(M, itest); dd_LPSolve(lp,dd_DualSimplex,&err); lps=dd_CopyLPSolution(lp); if (localdebug) dd_WriteLPResult(stdout,lp,err); if (dd_Positive(lps->optvalue)){ answer=dd_FALSE; if (localdebug) fprintf(stderr,"==> %ld th point is not strongly redundant.\n",itest); } else { answer=dd_TRUE; if (localdebug) fprintf(stderr,"==> %ld th point is strongly redundant.\n",itest); } } } dd_FreeLPSolution(lps); } _L999: dd_FreeLPData(lp); _L99: return answer; } dd_rowset dd_SRedundantRows(dd_MatrixPtr M, dd_ErrorType *error) /* 093a */ { dd_rowrange i,m; dd_colrange d; dd_rowset redset; dd_MatrixPtr Mcopy; dd_Arow cvec; /* certificate */ dd_boolean localdebug=dd_FALSE; m=M->rowsize; if (M->representation==dd_Generator){ d=(M->colsize)+1; } else { d=M->colsize; } Mcopy=dd_MatrixCopy(M); dd_InitializeArow(d,&cvec); set_initialize(&redset, m); for (i=m; i>=1; i--) { if (dd_SRedundant(Mcopy, i, cvec, error)) { if (localdebug) printf("dd_SRedundantRows: the row %ld is strongly redundant.\n", i); set_addelem(redset, i); dd_MatrixRowRemove(&Mcopy, i); } else { if (localdebug) printf("dd_SRedundantRows: the row %ld is not strongly redundant.\n", i); } if (*error!=dd_NoError) goto _L99; } _L99: dd_FreeMatrix(Mcopy); dd_FreeArow(d, cvec); return redset; } dd_rowset dd_RedundantRowsViaShooting(dd_MatrixPtr M, dd_ErrorType *error) /* 092 */ { /* For H-representation only and not quite reliable, especially when floating-point arithmetic is used. Use the ordinary (slower) method dd_RedundantRows. */ dd_rowrange i,m, ired, irow=0; dd_colrange j,k,d; dd_rowset redset; dd_rowindex rowflag; /* ith comp is negative if the ith inequality (i-1 st row) is redundant. zero if it is not decided. k > 0 if it is nonredundant and assigned to the (k-1)th row of M1. */ dd_MatrixPtr M1; dd_Arow shootdir, cvec=NULL; dd_LPPtr lp0, lp; dd_LPSolutionPtr lps; dd_ErrorType err; dd_LPSolverType solver=dd_DualSimplex; dd_boolean localdebug=dd_FALSE; m=M->rowsize; d=M->colsize; M1=dd_CreateMatrix(m,d); M1->rowsize=0; /* cheat the rowsize so that smaller matrix can be stored */ set_initialize(&redset, m); dd_InitializeArow(d, &shootdir); dd_InitializeArow(d, &cvec); rowflag=(long *)calloc(m+1, sizeof(long)); /* First find some (likely) nonredundant inequalities by Interior Point Find. */ lp0=dd_Matrix2LP(M, &err); lp=dd_MakeLPforInteriorFinding(lp0); dd_FreeLPData(lp0); dd_LPSolve(lp, solver, &err); /* Solve the LP */ lps=dd_CopyLPSolution(lp); if (dd_Positive(lps->optvalue)){ /* An interior point is found. Use rayshooting to find some nonredundant inequalities. */ for (j=1; jsol, shootdir); if (localdebug) printf("nonredundant row %3ld found by shooting.\n", ired); if (ired>0 && rowflag[ired]<=0) { irow++; rowflag[ired]=irow; for (k=1; k<=d; k++) dd_set(M1->matrix[irow-1][k-1], M->matrix[ired-1][k-1]); } dd_neg(shootdir[j], dd_one); /* negative of the j-th unit vector */ ired=dd_RayShooting(M, lps->sol, shootdir); if (localdebug) printf("nonredundant row %3ld found by shooting.\n", ired); if (ired>0 && rowflag[ired]<=0) { irow++; rowflag[ired]=irow; for (k=1; k<=d; k++) dd_set(M1->matrix[irow-1][k-1], M->matrix[ired-1][k-1]); } } M1->rowsize=irow; if (localdebug) { printf("The initial nonredundant set is:"); for (i=1; i<=m; i++) if (rowflag[i]>0) printf(" %ld", i); printf("\n"); } i=1; while(i<=m){ if (rowflag[i]==0){ /* the ith inequality is not yet checked */ if (localdebug) fprintf(stderr, "Checking redundancy of %ld th inequality\n", i); irow++; M1->rowsize=irow; for (k=1; k<=d; k++) dd_set(M1->matrix[irow-1][k-1], M->matrix[i-1][k-1]); if (!dd_Redundant(M1, irow, cvec, &err)){ for (k=1; k<=d; k++) dd_sub(shootdir[k-1], cvec[k-1], lps->sol[k-1]); ired=dd_RayShooting(M, lps->sol, shootdir); rowflag[ired]=irow; for (k=1; k<=d; k++) dd_set(M1->matrix[irow-1][k-1], M->matrix[ired-1][k-1]); if (localdebug) { fprintf(stderr, "The %ld th inequality is nonredundant for the subsystem\n", i); fprintf(stderr, "The nonredundancy of %ld th inequality is found by shooting.\n", ired); } } else { if (localdebug) fprintf(stderr, "The %ld th inequality is redundant for the subsystem and thus for the whole.\n", i); rowflag[i]=-1; set_addelem(redset, i); i++; } } else { i++; } } /* endwhile */ } else { /* No interior point is found. Apply the standard LP technique. */ redset=dd_RedundantRows(M, error); } dd_FreeLPData(lp); dd_FreeLPSolution(lps); M1->rowsize=m; M1->colsize=d; /* recover the original sizes */ dd_FreeMatrix(M1); dd_FreeArow(d, shootdir); dd_FreeArow(d, cvec); free(rowflag); return redset; } dd_SetFamilyPtr dd_Matrix2Adjacency(dd_MatrixPtr M, dd_ErrorType *error) /* 093 */ { /* This is to generate the (facet) graph of a polyheron (H) V-represented by M using LPs. Since it does not use the representation conversion, it should work for a large scale problem. */ dd_rowrange i,m; dd_colrange d; dd_rowset redset; dd_MatrixPtr Mcopy; dd_SetFamilyPtr F=NULL; m=M->rowsize; d=M->colsize; if (m<=0 ||d<=0) { *error=dd_EmptyRepresentation; goto _L999; } Mcopy=dd_MatrixCopy(M); F=dd_CreateSetFamily(m, m); for (i=1; i<=m; i++) { if (!set_member(i, M->linset)){ set_addelem(Mcopy->linset, i); redset=dd_RedundantRows(Mcopy, error); /* redset should contain all nonadjacent ones */ set_uni(redset, redset, Mcopy->linset); /* all linearity elements should be nonadjacent */ set_compl(F->set[i-1], redset); /* set the adjacency list of vertex i */ set_delelem(Mcopy->linset, i); set_free(redset); if (*error!=dd_NoError) goto _L99; } } _L99: dd_FreeMatrix(Mcopy); _L999: return F; } dd_SetFamilyPtr dd_Matrix2WeakAdjacency(dd_MatrixPtr M, dd_ErrorType *error) /* 093a */ { /* This is to generate the weak-adjacency (facet) graph of a polyheron (H) V-represented by M using LPs. Since it does not use the representation conversion, it should work for a large scale problem. */ dd_rowrange i,m; dd_colrange d; dd_rowset redset; dd_MatrixPtr Mcopy; dd_SetFamilyPtr F=NULL; m=M->rowsize; d=M->colsize; if (m<=0 ||d<=0) { *error=dd_EmptyRepresentation; goto _L999; } Mcopy=dd_MatrixCopy(M); F=dd_CreateSetFamily(m, m); for (i=1; i<=m; i++) { if (!set_member(i, M->linset)){ set_addelem(Mcopy->linset, i); redset=dd_SRedundantRows(Mcopy, error); /* redset should contain all weakly nonadjacent ones */ set_uni(redset, redset, Mcopy->linset); /* all linearity elements should be nonadjacent */ set_compl(F->set[i-1], redset); /* set the adjacency list of vertex i */ set_delelem(Mcopy->linset, i); set_free(redset); if (*error!=dd_NoError) goto _L99; } } _L99: dd_FreeMatrix(Mcopy); _L999: return F; } dd_boolean dd_ImplicitLinearity(dd_MatrixPtr M, dd_rowrange itest, dd_Arow certificate, dd_ErrorType *error) /* 092 */ { /* Checks whether the row itest is implicit linearity for the representation. All linearity rows are not checked and considered non implicit linearity (dd_FALSE). This code works for both H- and V-representations. A certificate is given in the case of dd_FALSE, showing a feasible solution x satisfying the itest strict inequality for H-representation, a hyperplane RHS and normal (x_0, x) that separates the itest from the rest. More explicitly, the LP to be setup is the same thing as redundancy case but with maximization: H-representation f* = maximize b_itest + A_itest x subject to b_itest + 1 + A_itest x >= 0 (relaxed inequality. This is not necessary but kept for simplicity of the code) b_{I-itest} + A_{I-itest} x >= 0 (all inequalities except for itest) b_L + A_L x = 0. (linearity) V-representation (=separation problem) f* = maximize b_itest x_0 + A_itest x subject to b_itest x_0 + A_itest x >= -1 (again, this is not necessary but kept for simplicity.) b_{I-itest} x_0 + A_{I-itest} x >= 0 (all nonlinearity generators except for itest in one side) b_L x_0 + A_L x = 0. (linearity generators) Here, the input matrix is considered as (b, A), i.e. b corresponds to the first column of input and the row indices of input is partitioned into I and L where L is the set of linearity. In both cases, the itest data is implicit linearity if and only if the optimal value f* is nonpositive. The certificate has dimension one more for V-representation case. */ dd_colrange j; dd_LPPtr lp; dd_LPSolutionPtr lps; dd_ErrorType err=dd_NoError; dd_boolean answer=dd_FALSE,localdebug=dd_FALSE; *error=dd_NoError; if (set_member(itest, M->linset)){ if (localdebug) printf("The %ld th row is linearity and redundancy checking is skipped.\n",itest); goto _L99; } /* Create an LP data for redundancy checking */ if (M->representation==dd_Generator){ lp=dd_CreateLP_V_Redundancy(M, itest); } else { lp=dd_CreateLP_H_Redundancy(M, itest); } lp->objective = dd_LPmax; /* the lp->objective is set by CreateLP* to LPmin */ dd_LPSolve(lp,dd_choiceRedcheckAlgorithm,&err); if (err!=dd_NoError){ *error=err; goto _L999; } else { lps=dd_CopyLPSolution(lp); for (j=0; jd; j++) { dd_set(certificate[j], lps->sol[j]); } if (lps->LPS==dd_Optimal && dd_EqualToZero(lps->optvalue)){ answer=dd_TRUE; if (localdebug) fprintf(stderr,"==> %ld th data is an implicit linearity.\n",itest); } else { answer=dd_FALSE; if (localdebug) fprintf(stderr,"==> %ld th data is not an implicit linearity.\n",itest); } dd_FreeLPSolution(lps); } _L999: dd_FreeLPData(lp); _L99: return answer; } int dd_FreeOfImplicitLinearity(dd_MatrixPtr M, dd_Arow certificate, dd_rowset *imp_linrows, dd_ErrorType *error) /* 092 */ { /* Checks whether the matrix M constains any implicit linearity at all. It returns 1 if it is free of any implicit linearity. This means that the present linearity rows define the linearity correctly. It returns nonpositive values otherwise. H-representation f* = maximize z subject to b_I + A_I x - 1 z >= 0 b_L + A_L x = 0 (linearity) z <= 1. V-representation (=separation problem) f* = maximize z subject to b_I x_0 + A_I x - 1 z >= 0 (all nonlinearity generators in one side) b_L x_0 + A_L x = 0 (linearity generators) z <= 1. Here, the input matrix is considered as (b, A), i.e. b corresponds to the first column of input and the row indices of input is partitioned into I and L where L is the set of linearity. In both cases, any implicit linearity exists if and only if the optimal value f* is nonpositive. The certificate has dimension one more for V-representation case. */ dd_LPPtr lp; dd_rowrange i,m; dd_colrange j,d1; dd_ErrorType err=dd_NoError; dd_Arow cvec; /* certificate for implicit linearity */ int answer=0,localdebug=dd_FALSE; *error=dd_NoError; /* Create an LP data for redundancy checking */ if (M->representation==dd_Generator){ lp=dd_CreateLP_V_ImplicitLinearity(M); } else { lp=dd_CreateLP_H_ImplicitLinearity(M); } dd_LPSolve(lp,dd_choiceRedcheckAlgorithm,&err); if (err!=dd_NoError){ *error=err; goto _L999; } else { for (j=0; jd; j++) { dd_set(certificate[j], lp->sol[j]); } if (localdebug) dd_WriteLPResult(stderr,lp,err); /* *posset contains a set of row indices that are recognized as nonlinearity. */ if (localdebug) { fprintf(stderr,"==> The following variables are not implicit linearity:\n"); set_fwrite(stderr, lp->posset_extra); fprintf(stderr,"\n"); } if (M->representation==dd_Generator){ d1=(M->colsize)+1; } else { d1=M->colsize; } m=M->rowsize; dd_InitializeArow(d1,&cvec); set_initialize(imp_linrows,m); if (lp->LPS==dd_Optimal){ if (dd_Positive(lp->optvalue)){ answer=1; if (localdebug) fprintf(stderr,"==> The matrix has no implicit linearity.\n"); } else if (dd_Negative(lp->optvalue)) { answer=-1; if (localdebug) fprintf(stderr,"==> The matrix defines the trivial system.\n"); } else { answer=0; if (localdebug) fprintf(stderr,"==> The matrix has some implicit linearity.\n"); } } else { answer=-2; if (localdebug) fprintf(stderr,"==> The LP fails.\n"); } if (answer==0){ /* List the implicit linearity rows */ for (i=m; i>=1; i--) { if (!set_member(i,lp->posset_extra)) { if (dd_ImplicitLinearity(M, i, cvec, error)) { set_addelem(*imp_linrows, i); if (localdebug) { fprintf(stderr," row %ld is implicit linearity\n",i); fprintf(stderr,"\n"); } } if (*error!=dd_NoError) goto _L999; } } } /* end of if (answer==0) */ if (answer==-1) { for (i=m; i>=1; i--) set_addelem(*imp_linrows, i); } /* all rows are considered implicit linearity */ dd_FreeArow(d1,cvec); } _L999: dd_FreeLPData(lp); return answer; } dd_rowset dd_ImplicitLinearityRows(dd_MatrixPtr M, dd_ErrorType *error) /* 092 */ { dd_colrange d; dd_rowset imp_linset; dd_Arow cvec; /* certificate */ int foi; dd_boolean localdebug=dd_FALSE; if (M->representation==dd_Generator){ d=(M->colsize)+2; } else { d=M->colsize+1; } dd_InitializeArow(d,&cvec); if (localdebug) fprintf(stdout, "\ndd_ImplicitLinearityRows: Check whether the system contains any implicit linearity.\n"); foi=dd_FreeOfImplicitLinearity(M, cvec, &imp_linset, error); if (localdebug){ switch (foi) { case 1: fprintf(stdout, " It is free of implicit linearity.\n"); break; case 0: fprintf(stdout, " It is not free of implicit linearity.\n"); break; case -1: fprintf(stdout, " The input system is trivial (i.e. the empty H-polytope or the V-rep of the whole space.\n"); break; default: fprintf(stdout, " The LP was not solved correctly.\n"); break; } } if (localdebug){ fprintf(stderr, " Implicit linearity rows are:\n"); set_fwrite(stderr,imp_linset); fprintf(stderr, "\n"); } dd_FreeArow(d, cvec); return imp_linset; } dd_boolean dd_MatrixCanonicalizeLinearity(dd_MatrixPtr *M, dd_rowset *impl_linset,dd_rowindex *newpos, dd_ErrorType *error) /* 094 */ { /* This is to recongnize all implicit linearities, and put all linearities at the top of the matrix. All implicit linearities will be returned by *impl_linset. */ dd_rowrange rank; dd_rowset linrows,ignoredrows,basisrows; dd_colset ignoredcols,basiscols; dd_rowrange i,k,m; dd_rowindex newpos1; dd_boolean success=dd_FALSE; linrows=dd_ImplicitLinearityRows(*M, error); if (*error!=dd_NoError) goto _L99; m=(*M)->rowsize; set_uni((*M)->linset, (*M)->linset, linrows); /* add the implicit linrows to the explicit linearity rows */ /* To remove redundancy of the linearity part, we need to compute the rank and a basis of the linearity part. */ set_initialize(&ignoredrows, (*M)->rowsize); set_initialize(&ignoredcols, (*M)->colsize); set_compl(ignoredrows, (*M)->linset); rank=dd_MatrixRank(*M,ignoredrows,ignoredcols,&basisrows,&basiscols); set_diff(ignoredrows, (*M)->linset, basisrows); dd_MatrixRowsRemove2(M,ignoredrows,newpos); dd_MatrixShiftupLinearity(M,&newpos1); for (i=1; i<=m; i++){ k=(*newpos)[i]; if (k>0) { (*newpos)[i]=newpos1[k]; } } *impl_linset=linrows; success=dd_TRUE; free(newpos1); set_free(basisrows); set_free(basiscols); set_free(ignoredrows); set_free(ignoredcols); _L99: return success; } dd_boolean dd_MatrixCanonicalize(dd_MatrixPtr *M, dd_rowset *impl_linset, dd_rowset *redset, dd_rowindex *newpos, dd_ErrorType *error) /* 094 */ { /* This is to find a canonical representation of a matrix *M by recognizing all implicit linearities and all redundancies. All implicit linearities will be returned by *impl_linset and redundancies will be returned by *redset. */ dd_rowrange i,k,m; dd_rowindex newpos1,revpos; dd_rowset redset1; dd_boolean success=dd_TRUE; m=(*M)->rowsize; set_initialize(redset, m); revpos=(long *)calloc(m+1,sizeof(long)); success=dd_MatrixCanonicalizeLinearity(M, impl_linset, newpos, error); if (!success) goto _L99; for (i=1; i<=m; i++){ k=(*newpos)[i]; if (k>0) revpos[k]=i; /* inverse of *newpos[] */ } success=dd_MatrixRedundancyRemove(M, &redset1, &newpos1, error); /* 094 */ if (!success) goto _L99; for (i=1; i<=m; i++){ k=(*newpos)[i]; if (k>0) { (*newpos)[i]=newpos1[k]; if (newpos1[k]<0) (*newpos)[i]=-revpos[-newpos1[k]]; /* update the certificate of its duplicate removal. */ if (set_member(k,redset1)) set_addelem(*redset, i); } } _L99: set_free(redset1); free(newpos1); free(revpos); return success; } dd_boolean dd_ExistsRestrictedFace(dd_MatrixPtr M, dd_rowset R, dd_rowset S, dd_ErrorType *err) /* 0.94 */ { /* This function checkes if there is a point that satifies all the constraints of the matrix M (interpreted as an H-representation) with additional equality contraints specified by R and additional strict inequality constraints specified by S. The set S is supposed to be disjoint from both R and M->linset. When it is not, the set S will be considered as S\(R U M->linset). */ dd_boolean answer=dd_FALSE; dd_LPPtr lp=NULL; /* printf("\n--- ERF ---\n"); printf("R = "); set_write(R); printf("S = "); set_write(S); */ lp=dd_Matrix2Feasibility2(M, R, S, err); if (*err!=dd_NoError) goto _L99; /* Solve the LP by cdd LP solver. */ dd_LPSolve(lp, dd_DualSimplex, err); /* Solve the LP */ if (*err!=dd_NoError) goto _L99; if (lp->LPS==dd_Optimal && dd_Positive(lp->optvalue)) { answer=dd_TRUE; } dd_FreeLPData(lp); _L99: return answer; } dd_boolean dd_ExistsRestrictedFace2(dd_MatrixPtr M, dd_rowset R, dd_rowset S, dd_LPSolutionPtr *lps, dd_ErrorType *err) /* 0.94 */ { /* This function checkes if there is a point that satifies all the constraints of the matrix M (interpreted as an H-representation) with additional equality contraints specified by R and additional strict inequality constraints specified by S. The set S is supposed to be disjoint from both R and M->linset. When it is not, the set S will be considered as S\(R U M->linset). This function returns a certificate of the answer in terms of the associated LP solutions. */ dd_boolean answer=dd_FALSE; dd_LPPtr lp=NULL; /* printf("\n--- ERF ---\n"); printf("R = "); set_write(R); printf("S = "); set_write(S); */ lp=dd_Matrix2Feasibility2(M, R, S, err); if (*err!=dd_NoError) goto _L99; /* Solve the LP by cdd LP solver. */ dd_LPSolve(lp, dd_DualSimplex, err); /* Solve the LP */ if (*err!=dd_NoError) goto _L99; if (lp->LPS==dd_Optimal && dd_Positive(lp->optvalue)) { answer=dd_TRUE; } (*lps)=dd_CopyLPSolution(lp); dd_FreeLPData(lp); _L99: return answer; } dd_boolean dd_FindRelativeInterior(dd_MatrixPtr M, dd_rowset *ImL, dd_rowset *Lbasis, dd_LPSolutionPtr *lps, dd_ErrorType *err) /* 0.94 */ { /* This function computes a point in the relative interior of the H-polyhedron given by M. Even the representation is V-representation, it simply interprete M as H-representation. lps returns the result of solving an LP whose solution is a relative interior point. ImL returns all row indices of M that are implicit linearities, i.e. their inqualities are satisfied by equality by all points in the polyhedron. Lbasis returns a row basis of the submatrix of M consisting of all linearities and implicit linearities. This means that the dimension of the polyhedron is M->colsize - set_card(Lbasis) -1. */ dd_rowset S; dd_colset T, Lbasiscols; dd_boolean success=dd_FALSE; dd_rowrange i; dd_colrange rank; *ImL=dd_ImplicitLinearityRows(M, err); if (*err!=dd_NoError) goto _L99; set_initialize(&S, M->rowsize); /* the empty set */ for (i=1; i <=M->rowsize; i++) { if (!set_member(i, M->linset) && !set_member(i, *ImL)){ set_addelem(S, i); /* all nonlinearity rows go to S */ } } if (dd_ExistsRestrictedFace2(M, *ImL, S, lps, err)){ /* printf("a relative interior point found\n"); */ success=dd_TRUE; } set_initialize(&T, M->colsize); /* empty set */ rank=dd_MatrixRank(M,S,T,Lbasis,&Lbasiscols); /* the rank of the linearity submatrix of M. */ set_free(S); set_free(T); set_free(Lbasiscols); _L99: return success; } dd_rowrange dd_RayShooting(dd_MatrixPtr M, dd_Arow p, dd_Arow r) { /* 092, find the first inequality "hit" by a ray from an intpt. */ dd_rowrange imin=-1,i,m; dd_colrange j, d; dd_Arow vecmin, vec; mytype min,t1,t2,alpha, t1min; dd_boolean started=dd_FALSE; dd_boolean localdebug=dd_FALSE; m=M->rowsize; d=M->colsize; if (!dd_Equal(dd_one, p[0])){ fprintf(stderr, "Warning: RayShooting is called with a point with first coordinate not 1.\n"); dd_set(p[0],dd_one); } if (!dd_EqualToZero(r[0])){ fprintf(stderr, "Warning: RayShooting is called with a direction with first coordinate not 0.\n"); dd_set(r[0],dd_purezero); } dd_init(alpha); dd_init(min); dd_init(t1); dd_init(t2); dd_init(t1min); dd_InitializeArow(d,&vecmin); dd_InitializeArow(d,&vec); for (i=1; i<=m; i++){ dd_InnerProduct(t1, d, M->matrix[i-1], p); if (dd_Positive(t1)) { dd_InnerProduct(t2, d, M->matrix[i-1], r); dd_div(alpha, t2, t1); if (!started){ imin=i; dd_set(min, alpha); dd_set(t1min, t1); /* store the denominator. */ started=dd_TRUE; if (localdebug) { fprintf(stderr," Level 1: imin = %ld and min = ", imin); dd_WriteNumber(stderr, min); fprintf(stderr,"\n"); } } else { if (dd_Smaller(alpha, min)){ imin=i; dd_set(min, alpha); dd_set(t1min, t1); /* store the denominator. */ if (localdebug) { fprintf(stderr," Level 2: imin = %ld and min = ", imin); dd_WriteNumber(stderr, min); fprintf(stderr,"\n"); } } else { if (dd_Equal(alpha, min)) { /* tie break */ for (j=1; j<= d; j++){ dd_div(vecmin[j-1], M->matrix[imin-1][j-1], t1min); dd_div(vec[j-1], M->matrix[i-1][j-1], t1); } if (dd_LexSmaller(vec,vecmin, d)){ imin=i; dd_set(min, alpha); dd_set(t1min, t1); /* store the denominator. */ if (localdebug) { fprintf(stderr," Level 3: imin = %ld and min = ", imin); dd_WriteNumber(stderr, min); fprintf(stderr,"\n"); } } } } } } } dd_clear(alpha); dd_clear(min); dd_clear(t1); dd_clear(t2); dd_clear(t1min); dd_FreeArow(d, vecmin); dd_FreeArow(d, vec); return imin; } #ifdef GMPRATIONAL void dd_BasisStatusMaximize(dd_rowrange m_size,dd_colrange d_size, dd_Amatrix A,dd_Bmatrix T,dd_rowset equalityset, dd_rowrange objrow,dd_colrange rhscol,ddf_LPStatusType LPS, mytype *optvalue,dd_Arow sol,dd_Arow dsol,dd_rowset posset, ddf_colindex nbindex, ddf_rowrange re,ddf_colrange se, dd_colrange *nse, long *pivots, int *found, int *LPScorrect) /* This is just to check whether the status LPS of the basis given by nbindex with extra certificates se or re is correct. It is done by recomputing the basis inverse matrix T. It does not solve the LP when the status *LPS is undecided. Thus the input is m_size, d_size, A, equalityset, LPS, nbindex, re and se. Other values will be recomputed from scratch. The main purpose of the function is to verify the correctness of the result of floating point computation with the GMP rational arithmetics. */ { long pivots0,pivots1,fbasisrank; dd_rowrange i,is; dd_colrange s,senew,j; static dd_rowindex bflag; static long mlast=0; static dd_rowindex OrderVector; /* the permutation vector to store a preordered row indices */ unsigned int rseed=1; mytype val; dd_colindex nbtemp; dd_LPStatusType ddlps; dd_boolean localdebug=dd_FALSE; if (dd_debug) localdebug=dd_debug; if (localdebug){ printf("\nEvaluating dd_BasisStatusMaximize:\n"); } dd_init(val); nbtemp=(long *) calloc(d_size+1,sizeof(long)); for (i=0; i<= 4; i++) pivots[i]=0; if (bflag==NULL || mlast!=m_size){ if (mlast!=m_size && mlast>0) { free(bflag); /* called previously with different m_size */ free(OrderVector); } bflag=(long *) calloc(m_size+1,sizeof(long)); OrderVector=(long *)calloc(m_size+1,sizeof(long)); /* initialize only for the first time or when a larger space is needed */ mlast=m_size; } /* Initializing control variables. */ dd_ComputeRowOrderVector2(m_size,d_size,A,OrderVector,dd_MinIndex,rseed); pivots1=0; dd_ResetTableau(m_size,d_size,T,nbtemp,bflag,objrow,rhscol); if (localdebug){ printf("\nnbindex:"); for (j=1; j<=d_size; j++) printf(" %ld", nbindex[j]); printf("\n"); printf("re = %ld, se=%ld\n", re, se); } is=nbindex[se]; if (localdebug) printf("se=%ld, is=%ld\n", se, is); fbasisrank=d_size-1; for (j=1; j<=d_size; j++){ if (nbindex[j]<0) fbasisrank=fbasisrank-1; /* fbasisrank=the basis rank computed by floating-point */ } if (fbasisrank0) { /* i is nonbasic variable */ dd_TableauEntry(&val,m_size,d_size,A,T,objrow,bflag[i]); if (dd_Positive(val)) { if (localdebug) printf("Reduced cost entry for %ld is positive\n", i); *LPScorrect=dd_FALSE; break; } } }; break; case dd_Inconsistent: for (j=1; j<=d_size; j++){ dd_TableauEntry(&val,m_size,d_size,A,T,re,j); if (j==rhscol){ if (dd_Nonnegative(val)){ if (localdebug) printf("RHS entry for %ld is nonnegative\n", re); *LPScorrect=dd_FALSE; break; } } else if (dd_Positive(val)){ if (localdebug) printf("the row entry for(%ld, %ld) is positive\n", re, j); *LPScorrect=dd_FALSE; break; } }; break; case dd_DualInconsistent: for (i=1; i<=m_size; i++){ dd_TableauEntry(&val,m_size,d_size,A,T,i,bflag[is]); if (i==objrow){ if (dd_Nonpositive(val)){ if (localdebug) printf("Reduced cost entry for %ld is nonpositive\n", bflag[is]); *LPScorrect=dd_FALSE; break; } } else if (dd_Negative(val)){ if (localdebug) printf("the column entry for(%ld, %ld) is positive\n", i, bflag[is]); *LPScorrect=dd_FALSE; break; } }; break; ; default: break; } ddlps=LPSf2LPS(LPS); dd_SetSolutions(m_size,d_size,A,T, objrow,rhscol,ddlps,optvalue,sol,dsol,posset,nbindex,re,senew,bflag); *nse=senew; _L99: dd_clear(val); free(nbtemp); } void dd_BasisStatusMinimize(dd_rowrange m_size,dd_colrange d_size, dd_Amatrix A,dd_Bmatrix T,dd_rowset equalityset, dd_rowrange objrow,dd_colrange rhscol,ddf_LPStatusType LPS, mytype *optvalue,dd_Arow sol,dd_Arow dsol, dd_rowset posset, ddf_colindex nbindex, ddf_rowrange re,ddf_colrange se,dd_colrange *nse,long *pivots, int *found, int *LPScorrect) { dd_colrange j; for (j=1; j<=d_size; j++) dd_neg(A[objrow-1][j-1],A[objrow-1][j-1]); dd_BasisStatusMaximize(m_size,d_size,A,T,equalityset, objrow,rhscol, LPS,optvalue,sol,dsol,posset,nbindex,re,se,nse,pivots,found,LPScorrect); dd_neg(*optvalue,*optvalue); for (j=1; j<=d_size; j++){ if (LPS!=dd_Inconsistent) { /* Inconsistent certificate stays valid for minimization, 0.94e */ dd_neg(dsol[j-1],dsol[j-1]); } dd_neg(A[objrow-1][j-1],A[objrow-1][j-1]); } } #endif /* end of cddlp.c */ cddlib-094g/lib-src/cddmp.c000066400000000000000000000101601206770251100155450ustar00rootroot00000000000000/* cddmp.c (cddlib arithmetic operations using gmp) Copyright: Komei Fukuda 2000, fukuda@ifor.math.ethz.ch Version 0.94g, March 23, 2012 */ /* 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., 675 Mass Ave, Cambridge, MA 02139, USA. */ #include "setoper.h" /* set operation library header (Ver. March 16,1995 or later) */ #include "cdd.h" void dd_set_global_constants() { dd_init(dd_zero); dd_init(dd_minuszero); dd_init(dd_one); dd_init(dd_minusone); dd_init(dd_purezero); time(&dd_statStartTime); /* cddlib starting time */ dd_statBApivots=0; /* basis finding pivots */ dd_statCCpivots=0; /* criss-cross pivots */ dd_statDS1pivots=0; /* phase 1 pivots */ dd_statDS2pivots=0; /* phase 2 pivots */ dd_statACpivots=0; /* anticycling (cc) pivots */ dd_choiceLPSolverDefault=dd_DualSimplex; /* Default LP solver Algorithm */ dd_choiceRedcheckAlgorithm=dd_DualSimplex; /* Redundancy Checking Algorithm */ dd_choiceLexicoPivotQ=dd_TRUE; /* whether to use the lexicographic pivot */ #if defined GMPRATIONAL dd_statBSpivots=0; /* basis status checking pivots */ mpq_set_ui(dd_zero,0U,1U); mpq_set_ui(dd_purezero,0U,1U); mpq_set_ui(dd_one,1U,1U); mpq_set_si(dd_minusone,-1L,1U); ddf_set_global_constants(); #elif defined GMPFLOAT mpf_set_d(dd_zero,dd_almostzero); mpf_set_ui(dd_purezero,0U); mpf_set_ui(dd_one,1U); mpf_set_si(dd_minusone,-1L,1U); #else dd_zero[0]= dd_almostzero; /*real zero */ dd_purezero[0]= 0.0; dd_one[0]= 1L; dd_minusone[0]= -1L; #endif dd_neg(dd_minuszero,dd_zero); } void dd_free_global_constants() { dd_clear(dd_zero); dd_clear(dd_minuszero); dd_clear(dd_one); dd_clear(dd_minusone); dd_clear(dd_purezero); time(&dd_statStartTime); /* cddlib starting time */ dd_statBApivots=0; /* basis finding pivots */ dd_statCCpivots=0; /* criss-cross pivots */ dd_statDS1pivots=0; /* phase 1 pivots */ dd_statDS2pivots=0; /* phase 2 pivots */ dd_statACpivots=0; /* anticycling (cc) pivots */ dd_choiceLPSolverDefault=dd_DualSimplex; /* Default LP solver Algorithm */ dd_choiceRedcheckAlgorithm=dd_DualSimplex; /* Redundancy Checking Algorithm */ dd_choiceLexicoPivotQ=dd_TRUE; /* whether to use the lexicographic pivot */ #if defined GMPRATIONAL dd_statBSpivots=0; /* basis status checking pivots */ ddf_free_global_constants(); #endif } #if defined GMPRATIONAL void ddd_mpq_set_si(mytype a,signed long b) { mpz_t nz, dz; mpz_init(nz); mpz_init(dz); mpz_set_si(nz, b); mpz_set_ui(dz, 1U); mpq_set_num(a, nz); mpq_set_den(a, dz); mpz_clear(nz); mpz_clear(dz); } #endif #if defined dd_CDOUBLE void ddd_init(mytype a) { a[0]=0L; } void ddd_clear(mytype a) { /* a[0]=0L; */ } void ddd_set(mytype a,mytype b) { a[0]=b[0]; } void ddd_set_d(mytype a,double b) { a[0]=b; } void ddd_set_si(mytype a,signed long b) { a[0]=(double)b; } void ddd_set_si2(mytype a,signed long b, unsigned long c) { a[0]=(double)b/(double)c; } void ddd_add(mytype a,mytype b,mytype c) { a[0]=b[0]+c[0]; } void ddd_sub(mytype a,mytype b,mytype c) { a[0]=b[0]-c[0]; } void ddd_mul(mytype a,mytype b,mytype c) { a[0]=b[0]*c[0]; } void ddd_div(mytype a,mytype b,mytype c) { a[0]=b[0]/c[0]; } void ddd_neg(mytype a,mytype b) { a[0]=-b[0]; } void ddd_inv(mytype a,mytype b) { a[0]=1/b[0]; } int ddd_cmp(mytype a,mytype b) { if (a[0]-b[0]>0) return 1; else if (a[0]-b[0]>=0) return 0; else return -1; } int ddd_sgn(mytype a) { if (a[0]>0) return 1; else if (a[0]>=0) return 0; else return -1; } double ddd_get_d(mytype a) { return a[0]; } #endif /* end of cddmp.h */ cddlib-094g/lib-src/cddmp.h000066400000000000000000000111231206770251100155520ustar00rootroot00000000000000/* cddmp.h (cddlib arithmetic operations using gmp) Copyright: Komei Fukuda 2000, fukuda@ifor.math.ethz.ch Version 0.94g, March 23, 2012 */ /* 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., 675 Mass Ave, Cambridge, MA 02139, USA. */ #ifndef __CDDMP_H #define __CDDMP_H #endif /* __CDDMP_H */ /**********************************/ /* MACROS */ /* dependent on mp implementation */ /**********************************/ #if defined GMPRATIONAL #include "gmp.h" #define dd_ARITHMETIC "GMP rational" #define dd_init(a) mpq_init(a) #define dd_clear(a) mpq_clear(a) #define dd_set(a, b) mpq_set(a,b) #define dd_set_si(a, b) ddd_mpq_set_si(a,b) /* defined in cddgmp.c */ #define dd_set_si2(a, b, c) mpq_set_si(a,b,c) /* gmp 3.1 or higher */ #define dd_add(a, b, c) mpq_add(a,b,c) #define dd_sub(a, b, c) mpq_sub(a,b,c) #define dd_mul(a, b, c) mpq_mul(a,b,c) #define dd_div(a, b, c) mpq_div(a,b,c) #define dd_neg(a, b) mpq_neg(a,b) #define dd_inv(a, b) mpq_inv(a,b) #define dd_cmp(a, b) mpq_cmp(a,b) /* returns pos if a>b, 0 if a=b, negative if ab, 0 if a=b, negative if ab, 0 if a=b, negative if a= 0}. Please read COPYING (GNU General Public Licence) and the manual cddlibman.tex for detail. */ #include "setoper.h" /* set operation library header (Ver. June 1, 2000 or later) */ #include "cdd.h" #include #include #include #include #include dd_MatrixPtr dd_BlockElimination(dd_MatrixPtr M, dd_colset delset, dd_ErrorType *error) /* Eliminate the variables (columns) delset by the Block Elimination with dd_DoubleDescription algorithm. Given (where y is to be eliminated): c1 + A1 x + B1 y >= 0 c2 + A2 x + B2 y = 0 1. First construct the dual system: z1^T B1 + z2^T B2 = 0, z1 >= 0. 2. Compute the generators of the dual. 3. Then take the linear combination of the original system with each generator. 4. Remove redundant inequalies. */ { dd_MatrixPtr Mdual=NULL, Mproj=NULL, Gdual=NULL; dd_rowrange i,h,m,mproj,mdual,linsize; dd_colrange j,k,d,dproj,ddual,delsize; dd_colindex delindex; mytype temp,prod; dd_PolyhedraPtr dualpoly; dd_ErrorType err=dd_NoError; dd_boolean localdebug=dd_FALSE; *error=dd_NoError; m= M->rowsize; d= M->colsize; delindex=(long*)calloc(d+1,sizeof(long)); dd_init(temp); dd_init(prod); k=0; delsize=0; for (j=1; j<=d; j++){ if (set_member(j, delset)){ k++; delsize++; delindex[k]=j; /* stores the kth deletion column index */ } } if (localdebug) dd_WriteMatrix(stdout, M); linsize=set_card(M->linset); ddual=m+1; mdual=delsize + m - linsize; /* #equalitions + dimension of z1 */ /* setup the dual matrix */ Mdual=dd_CreateMatrix(mdual, ddual); Mdual->representation=dd_Inequality; for (i = 1; i <= delsize; i++){ set_addelem(Mdual->linset,i); /* equality */ for (j = 1; j <= m; j++) { dd_set(Mdual->matrix[i-1][j], M->matrix[j-1][delindex[i]-1]); } } k=0; for (i = 1; i <= m; i++){ if (!set_member(i, M->linset)){ /* set nonnegativity for the dual variable associated with each non-linearity inequality. */ k++; dd_set(Mdual->matrix[delsize+k-1][i], dd_one); } } /* 2. Compute the generators of the dual system. */ dualpoly=dd_DDMatrix2Poly(Mdual, &err); Gdual=dd_CopyGenerators(dualpoly); /* 3. Take the linear combination of the original system with each generator. */ dproj=d-delsize; mproj=Gdual->rowsize; Mproj=dd_CreateMatrix(mproj, dproj); Mproj->representation=dd_Inequality; set_copy(Mproj->linset, Gdual->linset); for (i=1; i<=mproj; i++){ k=0; for (j=1; j<=d; j++){ if (!set_member(j, delset)){ k++; /* new index of the variable x_j */ dd_set(prod, dd_purezero); for (h = 1; h <= m; h++){ dd_mul(temp,M->matrix[h-1][j-1],Gdual->matrix[i-1][h]); dd_add(prod,prod,temp); } dd_set(Mproj->matrix[i-1][k-1],prod); } } } if (localdebug) printf("Size of the projection system: %ld x %ld\n", mproj, dproj); dd_FreePolyhedra(dualpoly); free(delindex); dd_clear(temp); dd_clear(prod); dd_FreeMatrix(Mdual); dd_FreeMatrix(Gdual); return Mproj; } dd_MatrixPtr dd_FourierElimination(dd_MatrixPtr M,dd_ErrorType *error) /* Eliminate the last variable (column) from the given H-matrix using the standard Fourier Elimination. */ { dd_MatrixPtr Mnew=NULL; dd_rowrange i,inew,ip,in,iz,m,mpos=0,mneg=0,mzero=0,mnew; dd_colrange j,d,dnew; dd_rowindex posrowindex, negrowindex,zerorowindex; mytype temp1,temp2; dd_boolean localdebug=dd_FALSE; *error=dd_NoError; m= M->rowsize; d= M->colsize; if (d<=1){ *error=dd_ColIndexOutOfRange; if (localdebug) { printf("The number of column is too small: %ld for Fourier's Elimination.\n",d); } goto _L99; } if (M->representation==dd_Generator){ *error=dd_NotAvailForV; if (localdebug) { printf("Fourier's Elimination cannot be applied to a V-polyhedron.\n"); } goto _L99; } if (set_card(M->linset)>0){ *error=dd_CannotHandleLinearity; if (localdebug) { printf("The Fourier Elimination function does not handle equality in this version.\n"); } goto _L99; } /* Create temporary spaces to be removed at the end of this function */ posrowindex=(long*)calloc(m+1,sizeof(long)); negrowindex=(long*)calloc(m+1,sizeof(long)); zerorowindex=(long*)calloc(m+1,sizeof(long)); dd_init(temp1); dd_init(temp2); for (i = 1; i <= m; i++) { if (dd_Positive(M->matrix[i-1][d-1])){ mpos++; posrowindex[mpos]=i; } else if (dd_Negative(M->matrix[i-1][d-1])) { mneg++; negrowindex[mneg]=i; } else { mzero++; zerorowindex[mzero]=i; } } /*of i*/ if (localdebug) { dd_WriteMatrix(stdout, M); printf("No of (+ - 0) rows = (%ld, %ld, %ld)\n", mpos,mneg, mzero); } /* The present code generates so many redundant inequalities and thus is quite useless, except for very small examples */ mnew=mzero+mpos*mneg; /* the total number of rows after elimination */ dnew=d-1; Mnew=dd_CreateMatrix(mnew, dnew); dd_CopyArow(Mnew->rowvec, M->rowvec, dnew); /* set_copy(Mnew->linset,M->linset); */ Mnew->numbtype=M->numbtype; Mnew->representation=M->representation; Mnew->objective=M->objective; /* Copy the inequalities independent of x_d to the top of the new matrix. */ for (iz = 1; iz <= mzero; iz++){ for (j = 1; j <= dnew; j++) { dd_set(Mnew->matrix[iz-1][j-1], M->matrix[zerorowindex[iz]-1][j-1]); } } /* Create the new inequalities by combining x_d positive and negative ones. */ inew=mzero; /* the index of the last x_d zero inequality */ for (ip = 1; ip <= mpos; ip++){ for (in = 1; in <= mneg; in++){ inew++; dd_neg(temp1, M->matrix[negrowindex[in]-1][d-1]); for (j = 1; j <= dnew; j++) { dd_LinearComb(temp2,M->matrix[posrowindex[ip]-1][j-1],temp1,\ M->matrix[negrowindex[in]-1][j-1],\ M->matrix[posrowindex[ip]-1][d-1]); dd_set(Mnew->matrix[inew-1][j-1],temp2); } dd_Normalize(dnew,Mnew->matrix[inew-1]); } } free(posrowindex); free(negrowindex); free(zerorowindex); dd_clear(temp1); dd_clear(temp2); _L99: return Mnew; } /* end of cddproj.c */ cddlib-094g/lib-src/cddtypes.h000066400000000000000000000254131206770251100163110ustar00rootroot00000000000000/* cddtypes.h: Header file for cddlib.c written by Komei Fukuda, fukuda@ifor.math.ethz.ch Version 0.94g, March 23, 2012 */ /* cddlib.c : C-Implementation of the double description method for computing all vertices and extreme rays of the polyhedron P= {x : b - A x >= 0}. Please read COPYING (GNU General Public Licence) and the manual cddlibman.tex for detail. */ #ifndef __CDDTYPES_H #define __CDDTYPES_H #endif /* __CDDTYPES_H */ #define dd_COPYRIGHT "Copyright (C) 1996, Komei Fukuda, fukuda@ifor.math.ethz.ch" #define dd_DDVERSION "Version 0.94g (March 23, 2012)" #include #define dd_wordlenmax 1024 #define dd_linelenmax 4096 #define dd_datawidth 10 #define dd_filenamelen 255 #define dd_FALSE 0 #define dd_TRUE 1 typedef int dd_boolean; typedef long dd_rowrange; typedef long dd_colrange; typedef long dd_bigrange; typedef set_type dd_rowset; typedef set_type dd_colset; typedef long *dd_rowindex; typedef int *dd_rowflag; typedef long *dd_colindex; typedef mytype **dd_Amatrix; typedef mytype *dd_Arow; typedef set_type *dd_SetVector; typedef mytype **dd_Bmatrix; typedef set_type *dd_Aincidence; /* typedef char dd_FilenameType[dd_filenamelen]; deleted 000505*/ typedef char dd_DataFileType[dd_filenamelen]; typedef char dd_LineType[dd_linelenmax]; typedef char dd_WordType[dd_wordlenmax]; typedef struct dd_raydata *dd_RayPtr; typedef struct dd_raydata { mytype *Ray; dd_rowset ZeroSet; dd_rowrange FirstInfeasIndex; /* the first inequality the ray violates */ dd_boolean feasible; /* flag to store the feasibility */ mytype ARay; /* temporary area to store some row of A*Ray */ dd_RayPtr Next; } dd_RayType; typedef struct dd_adjacencydata *dd_AdjacencyPtr; typedef struct dd_adjacencydata { dd_RayPtr Ray1, Ray2; dd_AdjacencyPtr Next; } dd_AdjacencyType; typedef enum { dd_Combinatorial, dd_Algebraic } dd_AdjacencyTestType; typedef enum { dd_MaxIndex, dd_MinIndex, dd_MinCutoff, dd_MaxCutoff, dd_MixCutoff, dd_LexMin, dd_LexMax, dd_RandomRow } dd_RowOrderType; typedef enum { dd_Unknown=0, dd_Real, dd_Rational, dd_Integer } dd_NumberType; typedef enum { dd_Unspecified=0, dd_Inequality, dd_Generator } dd_RepresentationType; typedef enum { dd_IneToGen, dd_GenToIne, dd_LPMax, dd_LPMin, dd_InteriorFind } dd_ConversionType; typedef enum { dd_IncOff=0, dd_IncCardinality, dd_IncSet } dd_IncidenceOutputType; typedef enum { dd_AdjOff=0, dd_AdjacencyList, dd_AdjacencyDegree } dd_AdjacencyOutputType; typedef enum { dd_Auto, dd_SemiAuto, dd_Manual } dd_FileInputModeType; /* Auto if a input filename is specified by command arguments */ typedef enum { dd_DimensionTooLarge, dd_ImproperInputFormat, dd_NegativeMatrixSize, dd_EmptyVrepresentation, dd_EmptyHrepresentation, dd_EmptyRepresentation, dd_IFileNotFound, dd_OFileNotOpen, dd_NoLPObjective, dd_NoRealNumberSupport, dd_NotAvailForH, dd_NotAvailForV, dd_CannotHandleLinearity, dd_RowIndexOutOfRange, dd_ColIndexOutOfRange, dd_LPCycling, dd_NumericallyInconsistent, dd_NoError } dd_ErrorType; typedef enum { dd_InProgress, dd_AllFound, dd_RegionEmpty } dd_CompStatusType; /* --- LP types ---- */ typedef enum { dd_LPnone=0, dd_LPmax, dd_LPmin } dd_LPObjectiveType; typedef enum { dd_CrissCross, dd_DualSimplex } dd_LPSolverType; typedef enum { dd_LPSundecided, dd_Optimal, dd_Inconsistent, dd_DualInconsistent, dd_StrucInconsistent, dd_StrucDualInconsistent, dd_Unbounded, dd_DualUnbounded } dd_LPStatusType; typedef struct dd_lpsolution *dd_LPSolutionPtr; typedef struct dd_lpsolution { dd_DataFileType filename; dd_LPObjectiveType objective; dd_LPSolverType solver; dd_rowrange m; dd_colrange d; dd_NumberType numbtype; dd_LPStatusType LPS; /* the current solution status */ mytype optvalue; /* optimal value */ dd_Arow sol; /* primal solution */ dd_Arow dsol; /* dual solution */ dd_colindex nbindex; /* current basis represented by nonbasic indices */ dd_rowrange re; /* row index as a certificate in the case of inconsistency */ dd_colrange se; /* col index as a certificate in the case of dual inconsistency */ long pivots[5]; /* pivots[0]=setup (to find a basis), pivots[1]=PhaseI or Criss-Cross, pivots[2]=Phase II, pivots[3]=Anticycling, pivots[4]=GMP postopt. */ long total_pivots; } dd_LPSolutionType; typedef struct dd_lpdata *dd_LPPtr; typedef struct dd_lpdata { dd_DataFileType filename; dd_LPObjectiveType objective; dd_LPSolverType solver; dd_boolean Homogeneous; /* The first column except for the obj row is all zeros. */ dd_rowrange m; dd_colrange d; dd_Amatrix A; dd_Bmatrix B; dd_rowrange objrow; dd_colrange rhscol; dd_NumberType numbtype; dd_rowrange eqnumber; /* the number of equalities */ dd_rowset equalityset; dd_boolean redcheck_extensive; /* Apply the extensive redundancy check. */ dd_rowrange ired; /* the row index for the redundancy checking */ dd_rowset redset_extra; /* a set of rows that are newly recognized redundan by the extensive search. */ dd_rowset redset_accum; /* the accumulated set of rows that are recognized redundant */ dd_rowset posset_extra; /* a set of rows that are recognized non-linearity */ dd_boolean lexicopivot; /* flag to use the lexicogrphic pivot rule (symbolic perturbation). */ dd_LPStatusType LPS; /* the current solution status */ dd_rowrange m_alloc; /* the allocated row size of matrix A */ dd_colrange d_alloc; /* the allocated col size of matrix A */ mytype optvalue; /* optimal value */ dd_Arow sol; /* primal solution */ dd_Arow dsol; /* dual solution */ dd_colindex nbindex; /* current basis represented by nonbasic indices */ dd_rowrange re; /* row index as a certificate in the case of inconsistency */ dd_colrange se; /* col index as a certificate in the case of dual inconsistency */ long pivots[5]; /* pivots[0]=setup (to find a basis), pivots[1]=PhaseI or Criss-Cross, pivots[2]=Phase II, pivots[3]=Anticycling, pivots[4]=GMP postopt. */ long total_pivots; int use_given_basis; /* switch to indicate the use of the given basis */ dd_colindex given_nbindex; /* given basis represented by nonbasic indices */ time_t starttime; time_t endtime; } dd_LPType; /*---- end of LP Types ----- */ typedef struct dd_matrixdata *dd_MatrixPtr; typedef struct dd_matrixdata { dd_rowrange rowsize; dd_rowset linset; /* a subset of rows of linearity (ie, generators of linearity space for V-representation, and equations for H-representation. */ dd_colrange colsize; dd_RepresentationType representation; dd_NumberType numbtype; dd_Amatrix matrix; dd_LPObjectiveType objective; dd_Arow rowvec; } dd_MatrixType; typedef struct dd_setfamily *dd_SetFamilyPtr; typedef struct dd_setfamily { dd_bigrange famsize; dd_bigrange setsize; dd_SetVector set; } dd_SetFamilyType; typedef struct dd_nodedata *dd_NodePtr; typedef struct dd_nodedata {dd_bigrange key; dd_NodePtr next;} dd_NodeType; typedef struct dd_graphdata *dd_GraphPtr; typedef struct dd_graphdata { dd_bigrange vsize; dd_NodePtr *adjlist; /* should be initialized to have vsize components */ } dd_GraphType; typedef struct dd_polyhedradata *dd_PolyhedraPtr; typedef struct dd_conedata *dd_ConePtr; typedef struct dd_polyhedradata { dd_RepresentationType representation; /* given representation */ dd_boolean homogeneous; dd_colrange d; dd_rowrange m; dd_Amatrix A; /* Inequality System: m times d matrix */ dd_NumberType numbtype; dd_ConePtr child; /* pointing to the homogenized cone data */ dd_rowrange m_alloc; /* allocated row size of matrix A */ dd_colrange d_alloc; /* allocated col size of matrix A */ dd_Arow c; /* cost vector */ dd_rowflag EqualityIndex; /* ith component is 1 if it is equality, -1 if it is strict inequality, 0 otherwise. */ dd_boolean IsEmpty; /* This is to tell whether the set is empty or not */ dd_boolean NondegAssumed; dd_boolean InitBasisAtBottom; dd_boolean RestrictedEnumeration; dd_boolean RelaxedEnumeration; dd_rowrange m1; /* = m or m+1 (when representation=Inequality && !homogeneous) This data is written after dd_ConeDataLoad is called. This determines the size of Ainc. */ dd_boolean AincGenerated; /* Indicates whether Ainc, Ared, Adom are all computed. All the variables below are valid only when this is TRUE */ dd_colrange ldim; /* linearity dimension */ dd_bigrange n; /* the size of output = total number of rays in the computed cone + linearity dimension */ dd_Aincidence Ainc; /* incidence of input and output */ dd_rowset Ared; /* redundant set of rows whose removal results in a minimal system */ dd_rowset Adom; /* dominant set of rows (those containing all rays). */ } dd_PolyhedraType; typedef struct dd_conedata { dd_RepresentationType representation; dd_rowrange m; dd_colrange d; dd_Amatrix A; dd_NumberType numbtype; dd_PolyhedraPtr parent; /* pointing to the original polyhedra data */ dd_rowrange m_alloc; /* allocated row size of matrix A */ dd_colrange d_alloc; /* allocated col size of matrix A */ /* CONTROL: variables to control computation */ dd_rowrange Iteration; dd_RowOrderType HalfspaceOrder; dd_RayPtr FirstRay, LastRay, ArtificialRay; /* The second description: Generator */ dd_RayPtr PosHead, ZeroHead, NegHead, PosLast, ZeroLast, NegLast; dd_AdjacencyType **Edges; /* adjacency relation storage for iteration k */ unsigned int rseed; /* random seed for random row permutation */ dd_boolean ColReduced; /* flag to indicate that a column basis is computed and reduced */ dd_bigrange LinearityDim; /* the dimension of the linearity space (when input is H), and the size of a minimal system of equations to determine the space (when V). */ dd_colrange d_orig; /* the size d of the original matrix A */ dd_colindex newcol; /* the size d of the original matrix A */ dd_colindex InitialRayIndex; /* InitialRayIndex[s] (s>=1) stores the corr. row index */ dd_rowindex OrderVector; dd_boolean RecomputeRowOrder; dd_boolean PreOrderedRun; dd_rowset GroundSet, EqualitySet, NonequalitySet, AddedHalfspaces, WeaklyAddedHalfspaces, InitialHalfspaces; long RayCount, FeasibleRayCount, WeaklyFeasibleRayCount, TotalRayCount, ZeroRayCount; long EdgeCount, TotalEdgeCount; long count_int,count_int_good,count_int_bad; /* no. of intersection operations */ dd_Bmatrix B; dd_Bmatrix Bsave; /* a copy of the dual basis inverse used to reduce the matrix A */ /* STATES: variables to represent current state. */ dd_ErrorType Error; dd_CompStatusType CompStatus; /* Computation Status */ time_t starttime, endtime; } dd_ConeType; /* Global Variables */ extern dd_boolean dd_debug; extern dd_boolean dd_log; /* end of cddtypes.h */ cddlib-094g/lib-src/setoper.c000066400000000000000000000146631206770251100161530ustar00rootroot00000000000000/* setoper.c: * A set operation library * created by Komei Fukuda, Nov.14, 1993 * modified on December 5, 1994 (set_card function replaced with a better code by David Bremner) * last modified on June 1, 2000 (set_fwrite_compl(), set_groundsize added. set_compl fixed.) */ #include "setoper.h" #include #define SETBITS (sizeof(long) * CHAR_BIT) /* (Number of chars in a long) * (number of bits in a char) */ /* Definitions for optimized set_card function by David Bremner bremner@cs.mcgill.ca */ /* Caution!!! Bremner's technique depends on the assumption that CHAR_BIT == 8. */ #define LUTBLOCKS(set) (((set[0]-1)/SETBITS+1)*(sizeof(long)/sizeof(set_card_lut_t))) static unsigned char set_card_lut[]={ 0,1,1,2,1,2,2,3,1,2,2,3,2,3,3,4,1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5, 1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6, 1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6, 2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7, 1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6, 2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7, 2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7, 3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8}; /* End of Definitions for optimized set_card */ unsigned long set_blocks(long len) { long blocks=1L; if (len>0) blocks=((long)len-1)/SETBITS+2; return blocks; } void set_initialize(set_type *setp, long length) /* Make a set with a given bit lengths */ { long i,forlim1,len; if (length<=0) len=1;else len=length; /* if negative length is requested, it generates the shortest length */ forlim1=set_blocks(len); *setp=(unsigned long *) calloc(forlim1, sizeof i); (*setp)[0]=(unsigned long) len; /* size of the ground set */ for (i=1; i=1;i--) { e1=e2=set[i]; for (j=SETBITS-1;j>=0;j--) { e1=(e1>>j); printf("%1ld",e1); e1=e2-(e1<=1;i--) { e1=e2=set[i]; for (j=SETBITS-1;j>=0;j--) { e1=(e1>>j); fprintf(f,"%1ld",e1); e1=e2-(e1< #include typedef unsigned long *set_type; /* set type definition */ typedef unsigned char set_card_lut_t; #if defined(__cplusplus) extern "C" { #endif unsigned long set_blocks(long len); void set_initialize(set_type *setp,long len); void set_free(set_type set); void set_emptyset(set_type set); void set_copy(set_type setcopy,set_type set); void set_addelem(set_type set, long elem); void set_delelem(set_type set, long elem); void set_int(set_type set,set_type set1,set_type set2); void set_uni(set_type set,set_type set1,set_type set2); void set_diff(set_type set,set_type set1,set_type set2); void set_compl(set_type set,set_type set1); int set_subset(set_type set1,set_type set2); int set_member(long elem, set_type set); long set_card(set_type set); long set_groundsize(set_type set); /* output the size of the ground set */ void set_write(set_type set); void set_fwrite(FILE *f,set_type set); void set_fwrite_compl(FILE *f,set_type set); /* write the complement */ void set_binwrite(set_type set); void set_fbinwrite(FILE *f,set_type set); #if defined(__cplusplus) } #endif /* End of File: setoper.h */ cddlib-094g/ltmain.sh000077500000000000000000007330601206770251100146150ustar00rootroot00000000000000# Generated from ltmain.m4sh. # ltmain.sh (GNU libtool) 2.2.6b # Written by Gordon Matzigkeit , 1996 # Copyright (C) 1996, 1997, 1998, 1999, 2000, 2001, 2003, 2004, 2005, 2006, 2007 2008 Free Software Foundation, Inc. # This is free software; see the source for copying conditions. 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[MODE-ARG]... # # Provide generalized library-building support services. # # --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 # --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 informational messages (default) # --version print version information # -h, --help print short or 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. # 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) # $progname: (GNU libtool) 2.2.6b # automake: $automake_version # autoconf: $autoconf_version # # Report bugs to . PROGRAM=ltmain.sh PACKAGE=libtool VERSION=2.2.6b TIMESTAMP="" package_revision=1.3017 # Be Bourne compatible if test -n "${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. 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EXIT_SKIP=77 # $? = 77 is used to indicate a skipped test to automake. exit_status=$EXIT_SUCCESS # Make sure IFS has a sensible default lt_nl=' ' IFS=" $lt_nl" dirname="s,/[^/]*$,," basename="s,^.*/,," # 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" # Implementation must be kept synchronized with func_dirname # and func_basename. For efficiency, we do not delegate to # those functions but instead duplicate the functionality here. func_dirname_and_basename () { # Extract subdirectory from the argument. func_dirname_result=`$ECHO "X${1}" | $Xsed -e "$dirname"` if test "X$func_dirname_result" = "X${1}"; then func_dirname_result="${3}" else func_dirname_result="$func_dirname_result${2}" fi func_basename_result=`$ECHO "X${1}" | $Xsed -e "$basename"` } # Generated shell functions inserted here. # 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: # In the unlikely event $progname began with a '-', it would play havoc with # func_echo (imagine progname=-n), so we prepend ./ in that case: func_dirname_and_basename "$progpath" progname=$func_basename_result case $progname in -*) progname=./$progname ;; esac # Make sure we have an absolute path for reexecution: case $progpath in [\\/]*|[A-Za-z]:\\*) ;; *[\\/]*) progdir=$func_dirname_result progdir=`cd "$progdir" && pwd` progpath="$progdir/$progname" ;; *) save_IFS="$IFS" IFS=: for progdir in $PATH; do IFS="$save_IFS" test -x "$progdir/$progname" && break done IFS="$save_IFS" test -n "$progdir" || progdir=`pwd` progpath="$progdir/$progname" ;; esac # Sed substitution that helps us do robust quoting. It backslashifies # metacharacters that are still active within double-quoted strings. Xsed="${SED}"' -e 1s/^X//' sed_quote_subst='s/\([`"$\\]\)/\\\1/g' # Same as above, but do not quote variable references. double_quote_subst='s/\(["`\\]\)/\\\1/g' # Re-`\' parameter expansions in output of double_quote_subst that were # `\'-ed in input to the same. If an odd number of `\' preceded a '$' # in input to double_quote_subst, that '$' 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 '$'. `\' that '$'. bs='\\' bs2='\\\\' bs4='\\\\\\\\' dollar='\$' sed_double_backslash="\ s/$bs4/&\\ /g s/^$bs2$dollar/$bs&/ s/\\([^$bs]\\)$bs2$dollar/\\1$bs2$bs$dollar/g s/\n//g" # Standard options: opt_dry_run=false opt_help=false opt_quiet=false opt_verbose=false opt_warning=: # func_echo arg... # Echo program name prefixed message, along with the current mode # name if it has been set yet. func_echo () { $ECHO "$progname${mode+: }$mode: $*" } # func_verbose arg... # Echo program name prefixed message in verbose mode only. func_verbose () { $opt_verbose && 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_error arg... # Echo program name prefixed message to standard error. func_error () { $ECHO "$progname${mode+: }$mode: "${1+"$@"} 1>&2 } # func_warning arg... # Echo program name prefixed warning message to standard error. func_warning () { $opt_warning && $ECHO "$progname${mode+: }$mode: warning: "${1+"$@"} 1>&2 # bash bug again: : } # func_fatal_error arg... # Echo program name prefixed message to standard error, and exit. func_fatal_error () { func_error ${1+"$@"} exit $EXIT_FAILURE } # func_fatal_help arg... # Echo program name prefixed message to standard error, followed by # a help hint, and exit. func_fatal_help () { func_error ${1+"$@"} func_fatal_error "$help" } help="Try \`$progname --help' for more information." ## default # func_grep expression filename # Check whether EXPRESSION matches any line of FILENAME, without output. func_grep () { $GREP "$1" "$2" >/dev/null 2>&1 } # func_mkdir_p directory-path # Make sure the entire path to DIRECTORY-PATH is available. func_mkdir_p () { my_directory_path="$1" my_dir_list= if test -n "$my_directory_path" && test "$opt_dry_run" != ":"; then # Protect directory names starting with `-' case $my_directory_path in -*) my_directory_path="./$my_directory_path" ;; esac # While some portion of DIR does not yet exist... while test ! -d "$my_directory_path"; do # ...make a list in topmost first order. Use a colon delimited # list incase some portion of path contains whitespace. my_dir_list="$my_directory_path:$my_dir_list" # If the last portion added has no slash in it, the list is done case $my_directory_path in */*) ;; *) break ;; esac # ...otherwise throw away the child directory and loop my_directory_path=`$ECHO "X$my_directory_path" | $Xsed -e "$dirname"` done my_dir_list=`$ECHO "X$my_dir_list" | $Xsed -e 's,:*$,,'` save_mkdir_p_IFS="$IFS"; IFS=':' for my_dir in $my_dir_list; do IFS="$save_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! $MKDIR "$my_dir" 2>/dev/null || : done IFS="$save_mkdir_p_IFS" # Bail out if we (or some other process) failed to create a directory. test -d "$my_directory_path" || \ func_fatal_error "Failed to create \`$1'" fi } # func_mktempdir [string] # Make a temporary directory that won't clash with other running # libtool processes, and avoids race conditions if possible. If # given, STRING is the basename for that directory. func_mktempdir () { my_template="${TMPDIR-/tmp}/${1-$progname}" if test "$opt_dry_run" = ":"; then # Return a directory name, but don't create it in dry-run mode my_tmpdir="${my_template}-$$" else # If mktemp works, use that first and foremost my_tmpdir=`mktemp -d "${my_template}-XXXXXXXX" 2>/dev/null` if test ! -d "$my_tmpdir"; then # Failing that, at least try and use $RANDOM to avoid a race my_tmpdir="${my_template}-${RANDOM-0}$$" save_mktempdir_umask=`umask` umask 0077 $MKDIR "$my_tmpdir" umask $save_mktempdir_umask fi # If we're not in dry-run mode, bomb out on failure test -d "$my_tmpdir" || \ func_fatal_error "cannot create temporary directory \`$my_tmpdir'" fi $ECHO "X$my_tmpdir" | $Xsed } # func_quote_for_eval arg # Aesthetically quote ARG to be evaled later. # This function returns two values: FUNC_QUOTE_FOR_EVAL_RESULT # is double-quoted, suitable for a subsequent eval, whereas # FUNC_QUOTE_FOR_EVAL_UNQUOTED_RESULT has merely all characters # which are still active within double quotes backslashified. func_quote_for_eval () { case $1 in *[\\\`\"\$]*) func_quote_for_eval_unquoted_result=`$ECHO "X$1" | $Xsed -e "$sed_quote_subst"` ;; *) func_quote_for_eval_unquoted_result="$1" ;; esac case $func_quote_for_eval_unquoted_result in # Double-quote args containing shell metacharacters to delay # word splitting, command substitution and and variable # expansion for a subsequent eval. # Many Bourne shells cannot handle close brackets correctly # in scan sets, so we specify it separately. *[\[\~\#\^\&\*\(\)\{\}\|\;\<\>\?\'\ \ ]*|*]*|"") func_quote_for_eval_result="\"$func_quote_for_eval_unquoted_result\"" ;; *) func_quote_for_eval_result="$func_quote_for_eval_unquoted_result" esac } # 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 () { case $1 in *[\\\`\"]*) my_arg=`$ECHO "X$1" | $Xsed \ -e "$double_quote_subst" -e "$sed_double_backslash"` ;; *) my_arg="$1" ;; esac case $my_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. *[\[\~\#\^\&\*\(\)\{\}\|\;\<\>\?\'\ \ ]*|*]*|"") my_arg="\"$my_arg\"" ;; esac func_quote_for_expand_result="$my_arg" } # func_show_eval cmd [fail_exp] # Unless opt_silent 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 () { my_cmd="$1" my_fail_exp="${2-:}" ${opt_silent-false} || { func_quote_for_expand "$my_cmd" eval "func_echo $func_quote_for_expand_result" } if ${opt_dry_run-false}; then :; else eval "$my_cmd" my_status=$? if test "$my_status" -eq 0; then :; else eval "(exit $my_status); $my_fail_exp" fi fi } # func_show_eval_locale cmd [fail_exp] # Unless opt_silent 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 () { my_cmd="$1" my_fail_exp="${2-:}" ${opt_silent-false} || { func_quote_for_expand "$my_cmd" eval "func_echo $func_quote_for_expand_result" } if ${opt_dry_run-false}; then :; else eval "$lt_user_locale $my_cmd" my_status=$? eval "$lt_safe_locale" if test "$my_status" -eq 0; then :; else eval "(exit $my_status); $my_fail_exp" fi fi } # func_version # Echo version message to standard output and exit. func_version () { $SED -n '/^# '$PROGRAM' (GNU /,/# warranty; / { s/^# // s/^# *$// s/\((C)\)[ 0-9,-]*\( [1-9][0-9]*\)/\1\2/ p }' < "$progpath" exit $? } # func_usage # Echo short help message to standard output and exit. func_usage () { $SED -n '/^# Usage:/,/# -h/ { s/^# // s/^# *$// s/\$progname/'$progname'/ p }' < "$progpath" $ECHO $ECHO "run \`$progname --help | more' for full usage" exit $? } # func_help # Echo long help message to standard output and exit. func_help () { $SED -n '/^# Usage:/,/# Report bugs to/ { s/^# // s/^# *$// s*\$progname*'$progname'* s*\$host*'"$host"'* s*\$SHELL*'"$SHELL"'* s*\$LTCC*'"$LTCC"'* s*\$LTCFLAGS*'"$LTCFLAGS"'* s*\$LD*'"$LD"'* s/\$with_gnu_ld/'"$with_gnu_ld"'/ s/\$automake_version/'"`(automake --version) 2>/dev/null |$SED 1q`"'/ s/\$autoconf_version/'"`(autoconf --version) 2>/dev/null |$SED 1q`"'/ p }' < "$progpath" exit $? } # func_missing_arg argname # Echo program name prefixed message to standard error and set global # exit_cmd. func_missing_arg () { func_error "missing argument for $1" exit_cmd=exit } exit_cmd=: # Check that we have a working $ECHO. if test "X$1" = X--no-reexec; then # Discard the --no-reexec flag, and continue. shift elif test "X$1" = X--fallback-echo; then # Avoid inline document here, it may be left over : elif test "X`{ $ECHO '\t'; } 2>/dev/null`" = 'X\t'; then # Yippee, $ECHO works! : else # Restart under the correct shell, and then maybe $ECHO will work. exec $SHELL "$progpath" --no-reexec ${1+"$@"} fi if test "X$1" = X--fallback-echo; then # used as fallback echo shift cat </dev/null 2>&1; then taglist="$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 } # Parse options once, thoroughly. This comes as soon as possible in # the script to make things like `libtool --version' happen quickly. { # 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 # Parse non-mode specific arguments: while test "$#" -gt 0; do opt="$1" shift case $opt in --config) func_config ;; --debug) preserve_args="$preserve_args $opt" func_echo "enabling shell trace mode" opt_debug='set -x' $opt_debug ;; -dlopen) test "$#" -eq 0 && func_missing_arg "$opt" && break execute_dlfiles="$execute_dlfiles $1" shift ;; --dry-run | -n) opt_dry_run=: ;; --features) func_features ;; --finish) mode="finish" ;; --mode) test "$#" -eq 0 && func_missing_arg "$opt" && break 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 $opt" exit_cmd=exit break ;; esac mode="$1" shift ;; --preserve-dup-deps) opt_duplicate_deps=: ;; --quiet|--silent) preserve_args="$preserve_args $opt" opt_silent=: ;; --verbose| -v) preserve_args="$preserve_args $opt" opt_silent=false ;; --tag) test "$#" -eq 0 && func_missing_arg "$opt" && break preserve_args="$preserve_args $opt $1" func_enable_tag "$1" # tagname is set here shift ;; # Separate optargs to long options: -dlopen=*|--mode=*|--tag=*) func_opt_split "$opt" set dummy "$func_opt_split_opt" "$func_opt_split_arg" ${1+"$@"} shift ;; -\?|-h) func_usage ;; --help) opt_help=: ;; --version) func_version ;; -*) func_fatal_help "unrecognized option \`$opt'" ;; *) nonopt="$opt" break ;; esac done case $host in *cygwin* | *mingw* | *pw32* | *cegcc*) # don't eliminate duplications in $postdeps and $predeps opt_duplicate_compiler_generated_deps=: ;; *) opt_duplicate_compiler_generated_deps=$opt_duplicate_deps ;; esac # Having warned about all mis-specified options, bail out if # anything was wrong. $exit_cmd $EXIT_FAILURE } # func_check_version_match # Ensure that we are using m4 macros, and libtool script from the same # release of libtool. func_check_version_match () { if test "$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 } ## ----------- ## ## Main. ## ## ----------- ## $opt_help || { # Sanity checks first: func_check_version_match if test "$build_libtool_libs" != yes && test "$build_old_libs" != yes; then func_fatal_configuration "not configured to build any kind of library" fi test -z "$mode" && func_fatal_error "error: you must specify a MODE." # Darwin sucks eval std_shrext=\"$shrext_cmds\" # Only execute mode is allowed to have -dlopen flags. if test -n "$execute_dlfiles" && test "$mode" != execute; 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 \`$progname --help --mode=$mode' for more information." } # 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 \ | $GREP "^# Generated by .*$PACKAGE" > /dev/null 2>&1 } # 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\ *$PACKAGE* ) lalib_p=yes; break;; esac done exec 0<&5 5<&- fi test "$lalib_p" = yes } # 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 () { func_lalib_p "$1" } # 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_ltwrapper_scriptname_result="" if func_ltwrapper_executable_p "$1"; then func_dirname_and_basename "$1" "" "." func_stripname '' '.exe' "$func_basename_result" func_ltwrapper_scriptname_result="$func_dirname_result/$objdir/${func_stripname_result}_ltshwrapper" fi } # 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 () { $opt_debug save_ifs=$IFS; IFS='~' for cmd in $1; do IFS=$save_ifs eval cmd=\"$cmd\" func_show_eval "$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 () { $opt_debug case $1 in */* | *\\*) . "$1" ;; *) . "./$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 () { $opt_debug if test -n "$available_tags" && test -z "$tagname"; then CC_quoted= for arg in $CC; do func_quote_for_eval "$arg" CC_quoted="$CC_quoted $func_quote_for_eval_result" done 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 "* | " `$ECHO $CC` "* | "`$ECHO $CC` "* | " $CC_quoted"* | "$CC_quoted "* | " `$ECHO $CC_quoted` "* | "`$ECHO $CC_quoted` "*) ;; # 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 $CC; do # Double-quote args containing other shell metacharacters. func_quote_for_eval "$arg" CC_quoted="$CC_quoted $func_quote_for_eval_result" done case "$@ " in " $CC "* | "$CC "* | " `$ECHO $CC` "* | "`$ECHO $CC` "* | " $CC_quoted"* | "$CC_quoted "* | " `$ECHO $CC_quoted` "* | "`$ECHO $CC_quoted` "*) # The compiler in the base compile command matches # the one in the tagged configuration. # Assume this is the tagged configuration we want. tagname=$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 "$build_libtool_libs" = yes; then write_lobj=\'${2}\' else write_lobj=none fi if test "$build_old_libs" = yes; then write_oldobj=\'${3}\' else write_oldobj=none fi $opt_dry_run || { cat >${write_libobj}T <?"'"'"' &()|`$[]' \ && func_warning "libobj name \`$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 "$base_compile" && \ func_fatal_help "you must specify a compilation command" # Delete any leftover library objects. if test "$build_old_libs" = yes; 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 $host_os in cygwin* | mingw* | pw32* | os2* | cegcc*) pic_mode=default ;; esac if test "$pic_mode" = no && test "$deplibs_check_method" != pass_all; then # non-PIC code in shared libraries is not supported pic_mode=default fi # Calculate the filename of the output object if compiler does # not support -o with -c if test "$compiler_c_o" = no; then output_obj=`$ECHO "X$srcfile" | $Xsed -e 's%^.*/%%' -e 's%\.[^.]*$%%'`.${objext} lockfile="$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 "$need_locks" = yes; then until $opt_dry_run || ln "$progpath" "$lockfile" 2>/dev/null; do func_echo "Waiting for $lockfile to be removed" sleep 2 done elif test "$need_locks" = warn; 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 $EXIT_FAILURE fi removelist="$removelist $output_obj" $ECHO "$srcfile" > "$lockfile" fi $opt_dry_run || $RM $removelist removelist="$removelist $lockfile" trap '$opt_dry_run || $RM $removelist; exit $EXIT_FAILURE' 1 2 15 if test -n "$fix_srcfile_path"; then eval srcfile=\"$fix_srcfile_path\" fi func_quote_for_eval "$srcfile" qsrcfile=$func_quote_for_eval_result # Only build a PIC object if we are building libtool libraries. if test "$build_libtool_libs" = yes; then # Without this assignment, base_compile gets emptied. fbsd_hideous_sh_bug=$base_compile if test "$pic_mode" != no; 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 $objdir command="$command -o $lobj" fi func_show_eval_locale "$command" \ 'test -n "$output_obj" && $RM $removelist; exit $EXIT_FAILURE' if test "$need_locks" = warn && 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 $error' fi # Allow error messages only from the first compilation. if test "$suppress_opt" = yes; then suppress_output=' >/dev/null 2>&1' fi fi # Only build a position-dependent object if we build old libraries. if test "$build_old_libs" = yes; then if test "$pic_mode" != yes; then # Don't build PIC code command="$base_compile $qsrcfile$pie_flag" else command="$base_compile $qsrcfile $pic_flag" fi if test "$compiler_c_o" = yes; then command="$command -o $obj" fi # Suppress compiler output if we already did a PIC compilation. command="$command$suppress_output" func_show_eval_locale "$command" \ '$opt_dry_run || $RM $removelist; exit $EXIT_FAILURE' if test "$need_locks" = warn && 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" "$objname" # Unlock the critical section if it was locked if test "$need_locks" != no; then removelist=$lockfile $RM "$lockfile" fi } exit $EXIT_SUCCESS } $opt_help || { test "$mode" = compile && func_mode_compile ${1+"$@"} } func_mode_help () { # We need to display help for each of the modes. case $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 building PIC objects only -prefer-non-pic try to building 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 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 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 -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 -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 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: $progname [OPTION]... --mode=uninstall RM [RM-OPTION]... FILE... Remove libraries from an installation directory. RM is the name of the program to use to delete files associated with each FILE (typically \`/bin/rm'). RM-OPTIONS are options (such as \`-f') to be passed to RM. If FILE is a libtool library, all the files associated with it are deleted. Otherwise, only FILE itself is deleted using RM." ;; *) func_fatal_help "invalid operation mode \`$mode'" ;; esac $ECHO $ECHO "Try \`$progname --help' for more information about other modes." exit $? } # Now that we've collected a possible --mode arg, show help if necessary $opt_help && func_mode_help # func_mode_execute arg... func_mode_execute () { $opt_debug # The first argument is the command name. cmd="$nonopt" test -z "$cmd" && \ func_fatal_help "you must specify a COMMAND" # Handle -dlopen flags immediately. for file in $execute_dlfiles; do test -f "$file" \ || func_fatal_help "\`$file' is not a file" dir= case $file in *.la) # Check to see that this really is a libtool archive. func_lalib_unsafe_p "$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 dir="$dir/$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 $file in -*) ;; *) # Do a test to see if this is really a libtool program. if func_ltwrapper_script_p "$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_quote_for_eval "$file" args="$args $func_quote_for_eval_result" done if test "X$opt_dry_run" = Xfalse; then 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" else # 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 $EXIT_SUCCESS fi } test "$mode" = execute && func_mode_execute ${1+"$@"} # func_mode_finish arg... func_mode_finish () { $opt_debug libdirs="$nonopt" admincmds= if test -n "$finish_cmds$finish_eval" && test -n "$libdirs"; then for dir do libdirs="$libdirs $dir" done 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" || admincmds="$admincmds $cmds" fi done fi # Exit here if they wanted silent mode. $opt_silent && exit $EXIT_SUCCESS $ECHO "X----------------------------------------------------------------------" | $Xsed $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 "X----------------------------------------------------------------------" | $Xsed exit $EXIT_SUCCESS } test "$mode" = finish && func_mode_finish ${1+"$@"} # func_mode_install arg... func_mode_install () { $opt_debug # There may be an optional sh(1) argument at the beginning of # install_prog (especially on Windows NT). if test "$nonopt" = "$SHELL" || test "$nonopt" = /bin/sh || # Allow the use of GNU shtool's install command. $ECHO "X$nonopt" | $GREP shtool >/dev/null; then # Aesthetically quote it. func_quote_for_eval "$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 "$arg" install_prog="$install_prog$func_quote_for_eval_result" # We need to accept at least all the BSD install flags. dest= files= opts= prev= install_type= isdir=no stripme= for arg do if test -n "$dest"; then files="$files $dest" dest=$arg continue fi case $arg in -d) isdir=yes ;; -f) case " $install_prog " in *[\\\ /]cp\ *) ;; *) prev=$arg ;; esac ;; -g | -m | -o) prev=$arg ;; -s) stripme=" -s" continue ;; -*) ;; *) # If the previous option needed an argument, then skip it. if test -n "$prev"; then prev= else dest=$arg continue fi ;; esac # Aesthetically quote the argument. func_quote_for_eval "$arg" install_prog="$install_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 -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 "$dest" && isdir=yes if test "$isdir" = yes; 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. staticlibs="$staticlibs $file" ;; *.la) # Check to see that this really is a libtool archive. func_lalib_unsafe_p "$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 *" $libdir "*) ;; *) current_libdirs="$current_libdirs $libdir" ;; esac else # Note the libdir as a future libdir. case "$future_libdirs " in *" $libdir "*) ;; *) future_libdirs="$future_libdirs $libdir" ;; esac fi func_dirname "$file" "/" "" dir="$func_dirname_result" dir="$dir$objdir" if test -n "$relink_command"; then # Determine the prefix the user has applied to our future dir. inst_prefix_dir=`$ECHO "X$destdir" | $Xsed -e "s%$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=`$ECHO "X$relink_command" | $Xsed -e "s%@inst_prefix_dir@%-inst-prefix-dir $inst_prefix_dir%"` else relink_command=`$ECHO "X$relink_command" | $Xsed -e "s%@inst_prefix_dir@%%"` fi func_warning "relinking \`$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_prog $dir/$srcname $destdir/$realname" \ 'exit $?' tstripme="$stripme" case $host_os in cygwin* | mingw* | pw32* | cegcc*) 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" && staticlibs="$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 $?' # Install the old object if enabled. if test "$build_old_libs" = yes; 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=yes 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/"`$ECHO "X$lib" | $Xsed -e 's%^.*/%%g'` ### testsuite: skip nested quoting test if test -n "$libdir" && test ! -f "$libfile"; then func_warning "\`$lib' has not been installed in \`$libdir'" finalize=no fi done relink_command= func_source "$wrapper" outputname= if test "$fast_install" = no && test -n "$relink_command"; then $opt_dry_run || { if test "$finalize" = yes; then tmpdir=`func_mktempdir` func_basename "$file$stripped_ext" file="$func_basename_result" outputname="$tmpdir/$file" # Replace the output file specification. relink_command=`$ECHO "X$relink_command" | $Xsed -e 's%@OUTPUT@%'"$outputname"'%g'` $opt_silent || { func_quote_for_expand "$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=`$ECHO "X$file$stripped_ext" | $Xsed -e "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/$name" func_show_eval "$install_prog \$file \$oldlib" 'exit $?' if test -n "$stripme" && test -n "$old_striplib"; then func_show_eval "$old_striplib $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 $EXIT_SUCCESS fi } test "$mode" = install && 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 () { $opt_debug my_outputname="$1" my_originator="$2" my_pic_p="${3-no}" my_prefix=`$ECHO "$my_originator" | sed 's%[^a-zA-Z0-9]%_%g'` my_dlsyms= if test -n "$dlfiles$dlprefiles" || test "$dlself" != no; then if test -n "$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 $PACKAGE$TIMESTAMP) $VERSION */ #ifdef __cplusplus extern \"C\" { #endif /* External symbol declarations for the compiler. */\ " if test "$dlself" = yes; then func_verbose "generating symbol list for \`$output'" $opt_dry_run || echo ': @PROGRAM@ ' > "$nlist" # Add our own program objects to the symbol list. progfiles=`$ECHO "X$objs$old_deplibs" | $SP2NL | $Xsed -e "$lo2o" | $NL2SP` for progfile in $progfiles; do func_verbose "extracting global C symbols from \`$progfile'" $opt_dry_run || eval "$NM $progfile | $global_symbol_pipe >> '$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" $opt_dry_run || { eval '$ECHO ": $name " >> "$nlist"' eval "$NM $dlprefile 2>/dev/null | $global_symbol_pipe >> '$nlist'" } 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 $ECHO >> "$output_objdir/$my_dlsyms" "\ /* The mapping between symbol names and symbols. */ typedef struct { const char *name; void *address; } lt_dlsymlist; " case $host in *cygwin* | *mingw* | *cegcc* ) $ECHO >> "$output_objdir/$my_dlsyms" "\ /* DATA imports from DLLs on WIN32 con't be const, because runtime relocations are performed -- see ld's documentation on pseudo-relocs. */" lt_dlsym_const= ;; *osf5*) echo >> "$output_objdir/$my_dlsyms" "\ /* This system does not cope well with relocations in const data */" lt_dlsym_const= ;; *) lt_dlsym_const=const ;; esac $ECHO >> "$output_objdir/$my_dlsyms" "\ extern $lt_dlsym_const lt_dlsymlist lt_${my_prefix}_LTX_preloaded_symbols[]; $lt_dlsym_const lt_dlsymlist lt_${my_prefix}_LTX_preloaded_symbols[] = {\ { \"$my_originator\", (void *) 0 }," 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=" $pic_flag" ;; *) if test "X$my_pic_p" != Xno; then pic_flag_for_symtable=" $pic_flag" fi ;; esac ;; esac symtab_cflags= for arg in $LTCFLAGS; do case $arg in -pie | -fpie | -fPIE) ;; *) symtab_cflags="$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" "${nlist}T"' # Transform the symbol file into the correct name. symfileobj="$output_objdir/${my_outputname}S.$objext" case $host in *cygwin* | *mingw* | *cegcc* ) if test -f "$output_objdir/$my_outputname.def"; then compile_command=`$ECHO "X$compile_command" | $Xsed -e "s%@SYMFILE@%$output_objdir/$my_outputname.def $symfileobj%"` finalize_command=`$ECHO "X$finalize_command" | $Xsed -e "s%@SYMFILE@%$output_objdir/$my_outputname.def $symfileobj%"` else compile_command=`$ECHO "X$compile_command" | $Xsed -e "s%@SYMFILE@%$symfileobj%"` finalize_command=`$ECHO "X$finalize_command" | $Xsed -e "s%@SYMFILE@%$symfileobj%"` fi ;; *) compile_command=`$ECHO "X$compile_command" | $Xsed -e "s%@SYMFILE@%$symfileobj%"` finalize_command=`$ECHO "X$finalize_command" | $Xsed -e "s%@SYMFILE@%$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 "X$compile_command" | $Xsed -e "s% @SYMFILE@%%"` finalize_command=`$ECHO "X$finalize_command" | $Xsed -e "s% @SYMFILE@%%"` fi } # 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. func_win32_libid () { $opt_debug 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 if eval $OBJDUMP -f $1 | $SED -e '10q' 2>/dev/null | $EGREP 'file format pe-i386(.*architecture: i386)?' >/dev/null ; then win32_nmres=`eval $NM -f posix -A $1 | $SED -n -e ' 1,100{ / I /{ s,.*,import, p q } }'` 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_extract_an_archive dir oldlib func_extract_an_archive () { $opt_debug f_ex_an_ar_dir="$1"; shift f_ex_an_ar_oldlib="$1" func_show_eval "(cd \$f_ex_an_ar_dir && $AR x \"\$f_ex_an_ar_oldlib\")" 'exit $?' if ($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 () { $opt_debug 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` darwin_base_archive=`basename "$darwin_archive"` darwin_arches=`$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-$$ -type f -name \*.o -print -o -name \*.lo -print | $SED -e "$basename" | sort -u` darwin_file= darwin_files= for darwin_file in $darwin_filelist; do darwin_files=`find unfat-$$ -name $darwin_file -print | $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 | $NL2SP` done func_extract_archives_result="$my_oldobjs" } # func_emit_wrapper_part1 [arg=no] # # Emit the first part of a libtool wrapper script on stdout. # For more information, see the description associated with # func_emit_wrapper(), below. func_emit_wrapper_part1 () { func_emit_wrapper_part1_arg1=no if test -n "$1" ; then func_emit_wrapper_part1_arg1=$1 fi $ECHO "\ #! $SHELL # $output - temporary wrapper script for $objdir/$outputname # Generated by $PROGRAM (GNU $PACKAGE$TIMESTAMP) $VERSION # # The $output program cannot be directly executed until all the libtool # libraries that it depends on are installed. # # This wrapper script should never be moved out of the build directory. # If it is, it will not operate correctly. # Sed substitution that helps us do robust quoting. It backslashifies # metacharacters that are still active within double-quoted strings. Xsed='${SED} -e 1s/^X//' 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 ECHO=\"$qecho\" file=\"\$0\" # Make sure echo works. if test \"X\$1\" = X--no-reexec; then # Discard the --no-reexec flag, and continue. shift elif test \"X\`{ \$ECHO '\t'; } 2>/dev/null\`\" = 'X\t'; then # Yippee, \$ECHO works! : else # Restart under the correct shell, and then maybe \$ECHO will work. exec $SHELL \"\$0\" --no-reexec \${1+\"\$@\"} fi fi\ " $ECHO "\ # Find the directory that this script lives in. thisdir=\`\$ECHO \"X\$file\" | \$Xsed -e 's%/[^/]*$%%'\` 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 \"X\$file\" | \$Xsed -e '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 \"X\$file\" | \$Xsed -e 's%^.*/%%'\` file=\`ls -ld \"\$thisdir/\$file\" | ${SED} -n 's/.*-> //p'\` done " } # end: func_emit_wrapper_part1 # func_emit_wrapper_part2 [arg=no] # # Emit the second part of a libtool wrapper script on stdout. # For more information, see the description associated with # func_emit_wrapper(), below. func_emit_wrapper_part2 () { func_emit_wrapper_part2_arg1=no if test -n "$1" ; then func_emit_wrapper_part2_arg1=$1 fi $ECHO "\ # Usually 'no', except on cygwin/mingw when embedded into # the cwrapper. WRAPPER_SCRIPT_BELONGS_IN_OBJDIR=$func_emit_wrapper_part2_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 *[\\\\/]$objdir ) thisdir=\`\$ECHO \"X\$thisdir\" | \$Xsed -e 's%[\\\\/][^\\\\/]*$%%'\` ;; $objdir ) thisdir=. ;; esac fi # Try to get the absolute directory name. absdir=\`cd \"\$thisdir\" && pwd\` test -n \"\$absdir\" && thisdir=\"\$absdir\" " if test "$fast_install" = yes; 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 $ECHO "\ if test -f \"\$progdir/\$program\"; then" # Export our shlibpath_var if we have one. if test "$shlibpath_overrides_runpath" = yes && 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 $shlibpath_var=\`\$ECHO \"X\$$shlibpath_var\" | \$Xsed -e 's/::*\$//'\` export $shlibpath_var " fi # fixup the dll searchpath if we need to. if test -n "$dllsearchpath"; then $ECHO "\ # Add the dll search path components to the executable PATH PATH=$dllsearchpath:\$PATH " fi $ECHO "\ if test \"\$libtool_execute_magic\" != \"$magic\"; then # Run the actual program with our arguments. " case $host in # Backslashes separate directories on plain windows *-*-mingw | *-*-os2* | *-cegcc*) $ECHO "\ exec \"\$progdir\\\\\$program\" \${1+\"\$@\"} " ;; *) $ECHO "\ exec \"\$progdir/\$program\" \${1+\"\$@\"} " ;; esac $ECHO "\ \$ECHO \"\$0: cannot exec \$program \$*\" 1>&2 exit 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\ " } # end: func_emit_wrapper_part2 # 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 in which it is stored is # the $objdir directory. This is a cygwin/mingw-specific # behavior. func_emit_wrapper () { func_emit_wrapper_arg1=no if test -n "$1" ; then func_emit_wrapper_arg1=$1 fi # split this up so that func_emit_cwrapperexe_src # can call each part independently. func_emit_wrapper_part1 "${func_emit_wrapper_arg1}" func_emit_wrapper_part2 "${func_emit_wrapper_arg1}" } # func_to_host_path arg # # Convert paths to host format when used with build tools. # Intended for use with "native" mingw (where libtool itself # is running under the msys shell), or in the following cross- # build environments: # $build $host # mingw (msys) mingw [e.g. native] # cygwin mingw # *nix + wine mingw # where wine is equipped with the `winepath' executable. # In the native mingw case, the (msys) shell automatically # converts paths for any non-msys applications it launches, # but that facility isn't available from inside the cwrapper. # Similar accommodations are necessary for $host mingw and # $build cygwin. Calling this function does no harm for other # $host/$build combinations not listed above. # # ARG is the path (on $build) that should be converted to # the proper representation for $host. The result is stored # in $func_to_host_path_result. func_to_host_path () { func_to_host_path_result="$1" if test -n "$1" ; then case $host in *mingw* ) lt_sed_naive_backslashify='s|\\\\*|\\|g;s|/|\\|g;s|\\|\\\\|g' case $build in *mingw* ) # actually, msys # awkward: cmd appends spaces to result lt_sed_strip_trailing_spaces="s/[ ]*\$//" func_to_host_path_tmp1=`( cmd //c echo "$1" |\ $SED -e "$lt_sed_strip_trailing_spaces" ) 2>/dev/null || echo ""` func_to_host_path_result=`echo "$func_to_host_path_tmp1" |\ $SED -e "$lt_sed_naive_backslashify"` ;; *cygwin* ) func_to_host_path_tmp1=`cygpath -w "$1"` func_to_host_path_result=`echo "$func_to_host_path_tmp1" |\ $SED -e "$lt_sed_naive_backslashify"` ;; * ) # Unfortunately, winepath does not exit with a non-zero # error code, so we are forced to check the contents of # stdout. On the other hand, if the command is not # found, the shell will set an exit code of 127 and print # *an error message* to stdout. So we must check for both # error code of zero AND non-empty stdout, which explains # the odd construction: func_to_host_path_tmp1=`winepath -w "$1" 2>/dev/null` if test "$?" -eq 0 && test -n "${func_to_host_path_tmp1}"; then func_to_host_path_result=`echo "$func_to_host_path_tmp1" |\ $SED -e "$lt_sed_naive_backslashify"` else # Allow warning below. func_to_host_path_result="" fi ;; esac if test -z "$func_to_host_path_result" ; then func_error "Could not determine host path corresponding to" func_error " '$1'" func_error "Continuing, but uninstalled executables may not work." # Fallback: func_to_host_path_result="$1" fi ;; esac fi } # end: func_to_host_path # func_to_host_pathlist arg # # Convert pathlists to host format when used with build tools. # See func_to_host_path(), above. This function supports the # following $build/$host combinations (but does no harm for # combinations not listed here): # $build $host # mingw (msys) mingw [e.g. native] # cygwin mingw # *nix + wine mingw # # 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. # # ARG is a pathlist (on $build) that should be converted to # the proper representation on $host. The result is stored # in $func_to_host_pathlist_result. func_to_host_pathlist () { func_to_host_pathlist_result="$1" if test -n "$1" ; then case $host in *mingw* ) lt_sed_naive_backslashify='s|\\\\*|\\|g;s|/|\\|g;s|\\|\\\\|g' # 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_to_host_pathlist_tmp2="$1" # Once set for this call, this variable should not be # reassigned. It is used in tha fallback case. func_to_host_pathlist_tmp1=`echo "$func_to_host_pathlist_tmp2" |\ $SED -e 's|^:*||' -e 's|:*$||'` case $build in *mingw* ) # Actually, msys. # Awkward: cmd appends spaces to result. lt_sed_strip_trailing_spaces="s/[ ]*\$//" func_to_host_pathlist_tmp2=`( cmd //c echo "$func_to_host_pathlist_tmp1" |\ $SED -e "$lt_sed_strip_trailing_spaces" ) 2>/dev/null || echo ""` func_to_host_pathlist_result=`echo "$func_to_host_pathlist_tmp2" |\ $SED -e "$lt_sed_naive_backslashify"` ;; *cygwin* ) func_to_host_pathlist_tmp2=`cygpath -w -p "$func_to_host_pathlist_tmp1"` func_to_host_pathlist_result=`echo "$func_to_host_pathlist_tmp2" |\ $SED -e "$lt_sed_naive_backslashify"` ;; * ) # unfortunately, winepath doesn't convert pathlists func_to_host_pathlist_result="" func_to_host_pathlist_oldIFS=$IFS IFS=: for func_to_host_pathlist_f in $func_to_host_pathlist_tmp1 ; do IFS=$func_to_host_pathlist_oldIFS if test -n "$func_to_host_pathlist_f" ; then func_to_host_path "$func_to_host_pathlist_f" if test -n "$func_to_host_path_result" ; then if test -z "$func_to_host_pathlist_result" ; then func_to_host_pathlist_result="$func_to_host_path_result" else func_to_host_pathlist_result="$func_to_host_pathlist_result;$func_to_host_path_result" fi fi fi IFS=: done IFS=$func_to_host_pathlist_oldIFS ;; esac if test -z "$func_to_host_pathlist_result" ; then func_error "Could not determine the host path(s) corresponding to" func_error " '$1'" func_error "Continuing, but uninstalled executables may not work." # Fallback. This may break if $1 contains DOS-style drive # specifications. The fix is not to complicate the expression # below, but for the user to provide a working wine installation # with winepath so that path translation in the cross-to-mingw # case works properly. lt_replace_pathsep_nix_to_dos="s|:|;|g" func_to_host_pathlist_result=`echo "$func_to_host_pathlist_tmp1" |\ $SED -e "$lt_replace_pathsep_nix_to_dos"` fi # Now, add the leading and trailing path separators back case "$1" in :* ) func_to_host_pathlist_result=";$func_to_host_pathlist_result" ;; esac case "$1" in *: ) func_to_host_pathlist_result="$func_to_host_pathlist_result;" ;; esac ;; esac fi } # end: func_to_host_pathlist # 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 # define setmode _setmode #else # include # include # ifdef __CYGWIN__ # include # define HAVE_SETENV # ifdef __STRICT_ANSI__ char *realpath (const char *, char *); int putenv (char *); int setenv (const char *, const char *, int); # endif # endif #endif #include #include #include #include #include #include #include #include #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 #ifdef _MSC_VER # define S_IXUSR _S_IEXEC # define stat _stat # ifndef _INTPTR_T_DEFINED # define intptr_t int # endif #endif #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 */ #ifdef __CYGWIN__ # define FOPEN_WB "wb" #endif #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 ((void *) stale); stale = 0; } \ } while (0) #undef LTWRAPPER_DEBUGPRINTF #if defined DEBUGWRAPPER # define LTWRAPPER_DEBUGPRINTF(args) ltwrapper_debugprintf args static void ltwrapper_debugprintf (const char *fmt, ...) { va_list args; va_start (args, fmt); (void) vfprintf (stderr, fmt, args); va_end (args); } #else # define LTWRAPPER_DEBUGPRINTF(args) #endif const char *program_name = NULL; 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_fatal (const char *message, ...); 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_opt_process_env_set (const char *arg); void lt_opt_process_env_prepend (const char *arg); void lt_opt_process_env_append (const char *arg); int lt_split_name_value (const char *arg, char** name, char** value); void lt_update_exe_path (const char *name, const char *value); void lt_update_lib_path (const char *name, const char *value); static const char *script_text_part1 = EOF func_emit_wrapper_part1 yes | $SED -e 's/\([\\"]\)/\\\1/g' \ -e 's/^/ "/' -e 's/$/\\n"/' echo ";" cat <"))); for (i = 0; i < newargc; i++) { LTWRAPPER_DEBUGPRINTF (("(main) newargz[%d] : %s\n", i, (newargz[i] ? newargz[i] : ""))); } EOF case $host_os in mingw*) cat <<"EOF" /* execv doesn't actually work on mingw as expected on unix */ rval = _spawnv (_P_WAIT, lt_argv_zero, (const char * const *) newargz); if (rval == -1) { /* failed to start process */ LTWRAPPER_DEBUGPRINTF (("(main) failed to launch target \"%s\": errno = %d\n", lt_argv_zero, errno)); return 127; } return rval; EOF ;; *) cat <<"EOF" execv (lt_argv_zero, newargz); return rval; /* =127, but avoids unused variable warning */ EOF ;; esac cat <<"EOF" } void * xmalloc (size_t num) { void *p = (void *) malloc (num); if (!p) lt_fatal ("Memory exhausted"); return p; } char * xstrdup (const char *string) { return string ? strcpy ((char *) xmalloc (strlen (string) + 1), string) : NULL; } const char * base_name (const char *name) { const char *base; #if defined (HAVE_DOS_BASED_FILE_SYSTEM) /* Skip over the disk name in MSDOS pathnames. */ if (isalpha ((unsigned char) name[0]) && name[1] == ':') name += 2; #endif for (base = name; *name; name++) if (IS_DIR_SEPARATOR (*name)) base = name + 1; return base; } int check_executable (const char *path) { struct stat st; LTWRAPPER_DEBUGPRINTF (("(check_executable) : %s\n", path ? (*path ? path : "EMPTY!") : "NULL!")); if ((!path) || (!*path)) return 0; if ((stat (path, &st) >= 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; LTWRAPPER_DEBUGPRINTF (("(make_executable) : %s\n", path ? (*path ? path : "EMPTY!") : "NULL!")); 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]; int tmp_len; char *concat_name; LTWRAPPER_DEBUGPRINTF (("(find_executable) : %s\n", wrapper ? (*wrapper ? wrapper : "EMPTY!") : "NULL!")); 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 = 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 ("getcwd failed"); 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 ("getcwd failed"); 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) { LTWRAPPER_DEBUGPRINTF (("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 { char *errstr = strerror (errno); lt_fatal ("Error accessing file %s (%s)", tmp_pathspec, errstr); } } XFREE (tmp_pathspec); if (!has_symlinks) { return xstrdup (pathspec); } tmp_pathspec = realpath (pathspec, buf); if (tmp_pathspec == 0) { lt_fatal ("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 (strcmp (str, pat) == 0) *str = '\0'; } return str; } static void lt_error_core (int exit_status, const char *mode, const char *message, va_list ap) { fprintf (stderr, "%s: %s: ", program_name, mode); vfprintf (stderr, message, ap); fprintf (stderr, ".\n"); if (exit_status >= 0) exit (exit_status); } void lt_fatal (const char *message, ...) { va_list ap; va_start (ap, message); lt_error_core (EXIT_FAILURE, "FATAL", message, ap); va_end (ap); } void lt_setenv (const char *name, const char *value) { LTWRAPPER_DEBUGPRINTF (("(lt_setenv) setting '%s' to '%s'\n", (name ? name : ""), (value ? value : ""))); { #ifdef HAVE_SETENV /* always make a copy, for consistency with !HAVE_SETENV */ char *str = xstrdup (value); setenv (name, str, 1); #else int 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) { int orig_value_len = strlen (orig_value); int 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; } int lt_split_name_value (const char *arg, char** name, char** value) { const char *p; int len; if (!arg || !*arg) return 1; p = strchr (arg, (int)'='); if (!p) return 1; *value = xstrdup (++p); len = strlen (arg) - strlen (*value); *name = XMALLOC (char, len); strncpy (*name, arg, len-1); (*name)[len - 1] = '\0'; return 0; } void lt_opt_process_env_set (const char *arg) { char *name = NULL; char *value = NULL; if (lt_split_name_value (arg, &name, &value) != 0) { XFREE (name); XFREE (value); lt_fatal ("bad argument for %s: '%s'", env_set_opt, arg); } lt_setenv (name, value); XFREE (name); XFREE (value); } void lt_opt_process_env_prepend (const char *arg) { char *name = NULL; char *value = NULL; char *new_value = NULL; if (lt_split_name_value (arg, &name, &value) != 0) { XFREE (name); XFREE (value); lt_fatal ("bad argument for %s: '%s'", env_prepend_opt, arg); } new_value = lt_extend_str (getenv (name), value, 0); lt_setenv (name, new_value); XFREE (new_value); XFREE (name); XFREE (value); } void lt_opt_process_env_append (const char *arg) { char *name = NULL; char *value = NULL; char *new_value = NULL; if (lt_split_name_value (arg, &name, &value) != 0) { XFREE (name); XFREE (value); lt_fatal ("bad argument for %s: '%s'", env_append_opt, arg); } new_value = lt_extend_str (getenv (name), value, 1); lt_setenv (name, new_value); XFREE (new_value); XFREE (name); XFREE (value); } void lt_update_exe_path (const char *name, const char *value) { LTWRAPPER_DEBUGPRINTF (("(lt_update_exe_path) modifying '%s' by prepending '%s'\n", (name ? name : ""), (value ? 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 #' */ int len = strlen (new_value); while (((len = strlen (new_value)) > 0) && IS_PATH_SEPARATOR (new_value[len-1])) { new_value[len-1] = '\0'; } lt_setenv (name, new_value); XFREE (new_value); } } void lt_update_lib_path (const char *name, const char *value) { LTWRAPPER_DEBUGPRINTF (("(lt_update_lib_path) modifying '%s' by prepending '%s'\n", (name ? name : ""), (value ? 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 } # end: func_emit_cwrapperexe_src # func_mode_link arg... func_mode_link () { $opt_debug case $host in *-*-cygwin* | *-*-mingw* | *-*-pw32* | *-*-os2* | *-cegcc*) # It is impossible to link a dll without this setting, and # we shouldn't force the makefile maintainer to figure out # which system we are compiling for in order to pass an extra # flag for every libtool invocation. # allow_undefined=no # FIXME: Unfortunately, there are problems with the above when trying # to make a dll which has undefined symbols, in which case not # even a static library is built. For now, we need to specify # -no-undefined on the libtool link line when we can be certain # that all symbols are satisfied, otherwise we get a static library. allow_undefined=yes ;; *) allow_undefined=yes ;; esac libtool_args=$nonopt base_compile="$nonopt $@" compile_command=$nonopt finalize_command=$nonopt compile_rpath= finalize_rpath= compile_shlibpath= finalize_shlibpath= convenience= old_convenience= deplibs= old_deplibs= compiler_flags= linker_flags= dllsearchpath= lib_search_path=`pwd` inst_prefix_dir= new_inherited_linker_flags= avoid_version=no dlfiles= dlprefiles= dlself=no export_dynamic=no export_symbols= export_symbols_regex= generated= libobjs= ltlibs= module=no no_install=no objs= non_pic_objects= precious_files_regex= prefer_static_libs=no preload=no prev= prevarg= release= rpath= xrpath= perm_rpath= temp_rpath= thread_safe=no vinfo= vinfo_number=no weak_libs= single_module="${wl}-single_module" func_infer_tag $base_compile # We need to know -static, to get the right output filenames. for arg do case $arg in -shared) test "$build_libtool_libs" != yes && \ func_fatal_configuration "can not build a shared library" build_old_libs=no break ;; -all-static | -static | -static-libtool-libs) case $arg in -all-static) if test "$build_libtool_libs" = yes && 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 $prev in dlfiles|dlprefiles) if test "$preload" = no; then # Add the symbol object into the linking commands. func_append compile_command " @SYMFILE@" func_append finalize_command " @SYMFILE@" preload=yes fi case $arg in *.la | *.lo) ;; # We handle these cases below. force) if test "$dlself" = no; then dlself=needless export_dynamic=yes fi prev= continue ;; self) if test "$prev" = dlprefiles; then dlself=yes elif test "$prev" = dlfiles && test "$dlopen_self" != yes; then dlself=yes else dlself=needless export_dynamic=yes fi prev= continue ;; *) if test "$prev" = dlfiles; then dlfiles="$dlfiles $arg" else dlprefiles="$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 *" $qarg.ltframework "*) ;; *) deplibs="$deplibs $qarg.ltframework" # this is fixed later ;; esac ;; esac prev= continue ;; inst_prefix) inst_prefix_dir="$arg" prev= continue ;; objectlist) if test -f "$arg"; then save_arg=$arg moreargs= for fil in `cat "$save_arg"` do # moreargs="$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 "$pic_object" = none && test "$non_pic_object" = none; then func_fatal_error "cannot find name of object for \`$arg'" fi # Extract subdirectory from the argument. func_dirname "$arg" "/" "" xdir="$func_dirname_result" if test "$pic_object" != none; then # Prepend the subdirectory the object is found in. pic_object="$xdir$pic_object" if test "$prev" = dlfiles; then if test "$build_libtool_libs" = yes && test "$dlopen_support" = yes; then dlfiles="$dlfiles $pic_object" prev= continue else # If libtool objects are unsupported, then we need to preload. prev=dlprefiles fi fi # CHECK ME: I think I busted this. -Ossama if test "$prev" = dlprefiles; then # Preload the old-style object. dlprefiles="$dlprefiles $pic_object" prev= fi # A PIC object. func_append libobjs " $pic_object" arg="$pic_object" fi # Non-PIC object. if test "$non_pic_object" != none; then # Prepend the subdirectory the object is found in. non_pic_object="$xdir$non_pic_object" # A standard non-PIC object func_append non_pic_objects " $non_pic_object" if test -z "$pic_object" || test "$pic_object" = none ; then arg="$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 ;; precious_regex) precious_files_regex="$arg" prev= continue ;; release) release="-$arg" prev= continue ;; rpath | xrpath) # We need an absolute path. case $arg in [\\/]* | [A-Za-z]:[\\/]*) ;; *) func_fatal_error "only absolute run-paths are allowed" ;; esac if test "$prev" = rpath; then case "$rpath " in *" $arg "*) ;; *) rpath="$rpath $arg" ;; esac else case "$xrpath " in *" $arg "*) ;; *) xrpath="$xrpath $arg" ;; esac fi prev= continue ;; shrext) shrext_cmds="$arg" prev= continue ;; weak) weak_libs="$weak_libs $arg" prev= continue ;; xcclinker) linker_flags="$linker_flags $qarg" compiler_flags="$compiler_flags $qarg" prev= func_append compile_command " $qarg" func_append finalize_command " $qarg" continue ;; xcompiler) compiler_flags="$compiler_flags $qarg" prev= func_append compile_command " $qarg" func_append finalize_command " $qarg" continue ;; xlinker) linker_flags="$linker_flags $qarg" compiler_flags="$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 " $link_static_flag" fi continue ;; -allow-undefined) # FIXME: remove this flag sometime in the future. func_fatal_error "\`-allow-undefined' must not be used because it is the default" ;; -avoid-version) avoid_version=yes continue ;; -dlopen) prev=dlfiles continue ;; -dlpreopen) prev=dlprefiles continue ;; -export-dynamic) export_dynamic=yes continue ;; -export-symbols | -export-symbols-regex) if test -n "$export_symbols" || test -n "$export_symbols_regex"; then func_fatal_error "more than one -exported-symbols argument is not allowed" fi if test "X$arg" = "X-export-symbols"; 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" dir=$func_stripname_result if test -z "$dir"; 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 # 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$dir "*) ;; *) deplibs="$deplibs -L$dir" lib_search_path="$lib_search_path $dir" ;; esac case $host in *-*-cygwin* | *-*-mingw* | *-*-pw32* | *-*-os2* | *-cegcc*) testbindir=`$ECHO "X$dir" | $Xsed -e 's*/lib$*/bin*'` case :$dllsearchpath: in *":$dir:"*) ;; ::) dllsearchpath=$dir;; *) dllsearchpath="$dllsearchpath:$dir";; esac case :$dllsearchpath: in *":$testbindir:"*) ;; ::) dllsearchpath=$testbindir;; *) dllsearchpath="$dllsearchpath:$testbindir";; esac ;; esac continue ;; -l*) if test "X$arg" = "X-lc" || test "X$arg" = "X-lm"; then case $host in *-*-cygwin* | *-*-mingw* | *-*-pw32* | *-*-beos* | *-cegcc*) # These systems don't actually have a C or math library (as such) continue ;; *-*-os2*) # These systems don't actually have a C library (as such) test "X$arg" = "X-lc" && continue ;; *-*-openbsd* | *-*-freebsd* | *-*-dragonfly*) # Do not include libc due to us having libc/libc_r. test "X$arg" = "X-lc" && continue ;; *-*-rhapsody* | *-*-darwin1.[012]) # Rhapsody C and math libraries are in the System framework deplibs="$deplibs System.ltframework" continue ;; *-*-sco3.2v5* | *-*-sco5v6*) # Causes problems with __ctype test "X$arg" = "X-lc" && continue ;; *-*-sysv4.2uw2* | *-*-sysv5* | *-*-unixware* | *-*-OpenUNIX*) # Compiler inserts libc in the correct place for threads to work test "X$arg" = "X-lc" && continue ;; esac elif test "X$arg" = "X-lc_r"; then case $host in *-*-openbsd* | *-*-freebsd* | *-*-dragonfly*) # Do not include libc_r directly, use -pthread flag. continue ;; esac fi deplibs="$deplibs $arg" continue ;; -module) module=yes continue ;; # Tru64 UNIX uses -model [arg] to determine the layout of C++ # classes, name mangling, and exception handling. # Darwin uses the -arch flag to determine output architecture. -model|-arch|-isysroot) compiler_flags="$compiler_flags $arg" func_append compile_command " $arg" func_append finalize_command " $arg" prev=xcompiler continue ;; -mt|-mthreads|-kthread|-Kthread|-pthread|-pthreads|--thread-safe|-threads) compiler_flags="$compiler_flags $arg" func_append compile_command " $arg" func_append finalize_command " $arg" case "$new_inherited_linker_flags " in *" $arg "*) ;; * ) new_inherited_linker_flags="$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 $host" func_warning "assuming \`-no-fast-install' instead" fast_install=no ;; *) no_install=yes ;; esac continue ;; -no-undefined) allow_undefined=no continue ;; -objectlist) prev=objectlist continue ;; -o) prev=output ;; -precious-files-regex) prev=precious_regex continue ;; -release) prev=release continue ;; -rpath) prev=rpath continue ;; -R) prev=xrpath continue ;; -R*) func_stripname '-R' '' "$arg" dir=$func_stripname_result # We need an absolute path. case $dir in [\\/]* | [A-Za-z]:[\\/]*) ;; *) func_fatal_error "only absolute run-paths are allowed" ;; esac case "$xrpath " in *" $dir "*) ;; *) xrpath="$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 "$flag" arg="$arg $wl$func_quote_for_eval_result" compiler_flags="$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 "$flag" arg="$arg $wl$func_quote_for_eval_result" compiler_flags="$compiler_flags $wl$func_quote_for_eval_result" linker_flags="$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" ;; # -64, -mips[0-9] enable 64-bit mode on the SGI compiler # -r[0-9][0-9]* specifies the processor on the SGI compiler # -xarch=*, -xtarget=* enable 64-bit mode on the Sun compiler # +DA*, +DD* enable 64-bit mode on the HP compiler # -q* pass through compiler args for the IBM compiler # -m*, -t[45]*, -txscale* pass through architecture-specific # compiler args for GCC # -F/path gives path to uninstalled frameworks, gcc on darwin # -p, -pg, --coverage, -fprofile-* pass through profiling flag for GCC # @file GCC response files -64|-mips[0-9]|-r[0-9][0-9]*|-xarch=*|-xtarget=*|+DA*|+DD*|-q*|-m*| \ -t[45]*|-txscale*|-p|-pg|--coverage|-fprofile-*|-F*|@*) func_quote_for_eval "$arg" arg="$func_quote_for_eval_result" func_append compile_command " $arg" func_append finalize_command " $arg" compiler_flags="$compiler_flags $arg" continue ;; # Some other compiler flag. -* | +*) func_quote_for_eval "$arg" arg="$func_quote_for_eval_result" ;; *.$objext) # A standard object. objs="$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 "$non_pic_object" || test "$pic_object" = none && test "$non_pic_object" = none; then func_fatal_error "cannot find name of object for \`$arg'" fi # Extract subdirectory from the argument. func_dirname "$arg" "/" "" xdir="$func_dirname_result" if test "$pic_object" != none; then # Prepend the subdirectory the object is found in. pic_object="$xdir$pic_object" if test "$prev" = dlfiles; then if test "$build_libtool_libs" = yes && test "$dlopen_support" = yes; then dlfiles="$dlfiles $pic_object" prev= continue else # If libtool objects are unsupported, then we need to preload. prev=dlprefiles fi fi # CHECK ME: I think I busted this. -Ossama if test "$prev" = dlprefiles; then # Preload the old-style object. dlprefiles="$dlprefiles $pic_object" prev= fi # A PIC object. func_append libobjs " $pic_object" arg="$pic_object" fi # Non-PIC object. if test "$non_pic_object" != none; then # Prepend the subdirectory the object is found in. non_pic_object="$xdir$non_pic_object" # A standard non-PIC object func_append non_pic_objects " $non_pic_object" if test -z "$pic_object" || test "$pic_object" = none ; then arg="$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 ;; *.$libext) # An archive. deplibs="$deplibs $arg" old_deplibs="$old_deplibs $arg" continue ;; *.la) # A libtool-controlled library. if test "$prev" = dlfiles; then # This library was specified with -dlopen. dlfiles="$dlfiles $arg" prev= elif test "$prev" = dlprefiles; then # The library was specified with -dlpreopen. dlprefiles="$dlprefiles $arg" prev= else deplibs="$deplibs $arg" fi continue ;; # Some other compiler argument. *) # Unknown arguments in both finalize_command and compile_command need # to be aesthetically quoted because they are evaled later. func_quote_for_eval "$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 \`$prevarg' option requires an argument" if test "$export_dynamic" = yes && 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 $shlibpath_var eval shlib_search_path=\`\$ECHO \"X\${$shlibpath_var}\" \| \$Xsed -e \'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\" func_dirname "$output" "/" "" output_objdir="$func_dirname_result$objdir" # Create the object directory. func_mkdir_p "$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 $opt_duplicate_deps ; then case "$libs " in *" $deplib "*) specialdeplibs="$specialdeplibs $deplib" ;; esac fi libs="$libs $deplib" done if test "$linkmode" = lib; 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 *" $pre_post_dep "*) specialdeplibs="$specialdeplibs $pre_post_deps" ;; esac pre_post_deps="$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=no newdlfiles= newdlprefiles= passes="conv scan dlopen dlpreopen link" ;; *) passes="conv" ;; esac for pass in $passes; do # The preopen pass in lib mode reverses $deplibs; put it back here # so that -L comes before libs that need it for instance... if test "$linkmode,$pass" = "lib,link"; 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 "$linkmode,$pass" = "lib,link" || test "$linkmode,$pass" = "prog,scan"; then libs="$deplibs" deplibs= fi if test "$linkmode" = prog; then case $pass in dlopen) libs="$dlfiles" ;; dlpreopen) libs="$dlprefiles" ;; link) libs="$deplibs %DEPLIBS% $dependency_libs" ;; esac fi if test "$linkmode,$pass" = "lib,dlpreopen"; then # Collect and forward deplibs of preopened libtool libs for lib in $dlprefiles; do # Ignore non-libtool-libs dependency_libs= case $lib in *.la) func_source "$lib" ;; esac # Collect preopened libtool deplibs, except any this library # has declared as weak libs for deplib in $dependency_libs; do deplib_base=`$ECHO "X$deplib" | $Xsed -e "$basename"` case " $weak_libs " in *" $deplib_base "*) ;; *) deplibs="$deplibs $deplib" ;; esac done done libs="$dlprefiles" fi if test "$pass" = dlopen; then # Collect dlpreopened libraries save_deplibs="$deplibs" deplibs= fi for deplib in $libs; do lib= found=no case $deplib in -mt|-mthreads|-kthread|-Kthread|-pthread|-pthreads|--thread-safe|-threads) if test "$linkmode,$pass" = "prog,link"; then compile_deplibs="$deplib $compile_deplibs" finalize_deplibs="$deplib $finalize_deplibs" else compiler_flags="$compiler_flags $deplib" if test "$linkmode" = lib ; then case "$new_inherited_linker_flags " in *" $deplib "*) ;; * ) new_inherited_linker_flags="$new_inherited_linker_flags $deplib" ;; esac fi fi continue ;; -l*) if test "$linkmode" != lib && test "$linkmode" != prog; then func_warning "\`-l' is ignored for archives/objects" continue fi func_stripname '-l' '' "$deplib" name=$func_stripname_result if test "$linkmode" = lib; 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 "$lib"; then if test "$search_ext" = ".la"; then found=yes else found=no fi break 2 fi done done if test "$found" != yes; then # deplib doesn't seem to be a libtool library if test "$linkmode,$pass" = "prog,link"; then compile_deplibs="$deplib $compile_deplibs" finalize_deplibs="$deplib $finalize_deplibs" else deplibs="$deplib $deplibs" test "$linkmode" = lib && newdependency_libs="$deplib $newdependency_libs" fi continue else # deplib is a libtool library # If $allow_libtool_libs_with_static_runtimes && $deplib is a stdlib, # We need to do some special things here, and not later. if test "X$allow_libtool_libs_with_static_runtimes" = "Xyes" ; 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=no func_dirname "$lib" "" "." ladir="$func_dirname_result" lib=$ladir/$old_library if test "$linkmode,$pass" = "prog,link"; then compile_deplibs="$deplib $compile_deplibs" finalize_deplibs="$deplib $finalize_deplibs" else deplibs="$deplib $deplibs" test "$linkmode" = lib && newdependency_libs="$deplib $newdependency_libs" fi continue fi fi ;; *) ;; esac fi fi ;; # -l *.ltframework) if test "$linkmode,$pass" = "prog,link"; then compile_deplibs="$deplib $compile_deplibs" finalize_deplibs="$deplib $finalize_deplibs" else deplibs="$deplib $deplibs" if test "$linkmode" = lib ; then case "$new_inherited_linker_flags " in *" $deplib "*) ;; * ) new_inherited_linker_flags="$new_inherited_linker_flags $deplib" ;; esac fi fi continue ;; -L*) case $linkmode in lib) deplibs="$deplib $deplibs" test "$pass" = conv && continue newdependency_libs="$deplib $newdependency_libs" func_stripname '-L' '' "$deplib" newlib_search_path="$newlib_search_path $func_stripname_result" ;; prog) if test "$pass" = conv; then deplibs="$deplib $deplibs" continue fi if test "$pass" = scan; then deplibs="$deplib $deplibs" else compile_deplibs="$deplib $compile_deplibs" finalize_deplibs="$deplib $finalize_deplibs" fi func_stripname '-L' '' "$deplib" newlib_search_path="$newlib_search_path $func_stripname_result" ;; *) func_warning "\`-L' is ignored for archives/objects" ;; esac # linkmode continue ;; # -L -R*) if test "$pass" = link; then func_stripname '-R' '' "$deplib" dir=$func_stripname_result # Make sure the xrpath contains only unique directories. case "$xrpath " in *" $dir "*) ;; *) xrpath="$xrpath $dir" ;; esac fi deplibs="$deplib $deplibs" continue ;; *.la) lib="$deplib" ;; *.$libext) if test "$pass" = conv; 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=no case $deplibs_check_method in match_pattern*) set dummy $deplibs_check_method; shift match_pattern_regex=`expr "$deplibs_check_method" : "$1 \(.*\)"` if eval "\$ECHO \"X$deplib\"" 2>/dev/null | $Xsed -e 10q \ | $EGREP "$match_pattern_regex" > /dev/null; then valid_a_lib=yes fi ;; pass_all) valid_a_lib=yes ;; esac if test "$valid_a_lib" != yes; then $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." else $ECHO $ECHO "*** Warning: Linking the shared library $output against the" $ECHO "*** static library $deplib is not portable!" deplibs="$deplib $deplibs" fi ;; esac continue ;; prog) if test "$pass" != link; then deplibs="$deplib $deplibs" else compile_deplibs="$deplib $compile_deplibs" finalize_deplibs="$deplib $finalize_deplibs" fi continue ;; esac # linkmode ;; # *.$libext *.lo | *.$objext) if test "$pass" = conv; then deplibs="$deplib $deplibs" elif test "$linkmode" = prog; then if test "$pass" = dlpreopen || test "$dlopen_support" != yes || test "$build_libtool_libs" = no; then # If there is no dlopen support or we're linking statically, # we need to preload. newdlprefiles="$newdlprefiles $deplib" compile_deplibs="$deplib $compile_deplibs" finalize_deplibs="$deplib $finalize_deplibs" else newdlfiles="$newdlfiles $deplib" fi fi continue ;; %DEPLIBS%) alldeplibs=yes continue ;; esac # case $deplib if test "$found" = yes || test -f "$lib"; then : else func_fatal_error "cannot find the library \`$lib' or unhandled argument \`$deplib'" fi # Check to see that this really is a libtool archive. func_lalib_unsafe_p "$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 "X$inherited_linker_flags" | $Xsed -e 's/-framework \([^ $]*\)/\1.ltframework/g'` for tmp_inherited_linker_flag in $tmp_inherited_linker_flags; do case " $new_inherited_linker_flags " in *" $tmp_inherited_linker_flag "*) ;; *) new_inherited_linker_flags="$new_inherited_linker_flags $tmp_inherited_linker_flag";; esac done fi dependency_libs=`$ECHO "X $dependency_libs" | $Xsed -e 's% \([^ $]*\).ltframework% -framework \1%g'` if test "$linkmode,$pass" = "lib,link" || test "$linkmode,$pass" = "prog,scan" || { test "$linkmode" != prog && test "$linkmode" != lib; }; then test -n "$dlopen" && dlfiles="$dlfiles $dlopen" test -n "$dlpreopen" && dlprefiles="$dlprefiles $dlpreopen" fi if test "$pass" = conv; 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. convenience="$convenience $ladir/$objdir/$old_library" old_convenience="$old_convenience $ladir/$objdir/$old_library" elif test "$linkmode" != prog && test "$linkmode" != lib; then func_fatal_error "\`$lib' is not a convenience library" fi tmp_libs= for deplib in $dependency_libs; do deplibs="$deplib $deplibs" if $opt_duplicate_deps ; then case "$tmp_libs " in *" $deplib "*) specialdeplibs="$specialdeplibs $deplib" ;; esac fi tmp_libs="$tmp_libs $deplib" done continue fi # $pass = conv # Get the name of the library we link against. linklib= for l in $old_library $library_names; do linklib="$l" done 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 "$pass" = dlopen; then if test -z "$libdir"; then func_fatal_error "cannot -dlopen a convenience library: \`$lib'" fi if test -z "$dlname" || test "$dlopen_support" != yes || test "$build_libtool_libs" = no; 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. dlprefiles="$dlprefiles $lib $dependency_libs" else newdlfiles="$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 "X$installed" = Xyes; then if test ! -f "$libdir/$linklib" && test -f "$abs_ladir/$linklib"; then func_warning "library \`$lib' was moved." dir="$ladir" absdir="$abs_ladir" libdir="$abs_ladir" else dir="$libdir" absdir="$libdir" fi test "X$hardcode_automatic" = Xyes && avoidtemprpath=yes else if test ! -f "$ladir/$objdir/$linklib" && test -f "$abs_ladir/$linklib"; then dir="$ladir" absdir="$abs_ladir" # Remove this search path later notinst_path="$notinst_path $abs_ladir" else dir="$ladir/$objdir" absdir="$abs_ladir/$objdir" # Remove this search path later notinst_path="$notinst_path $abs_ladir" fi fi # $installed = yes func_stripname 'lib' '.la' "$laname" name=$func_stripname_result # This library was specified with -dlpreopen. if test "$pass" = dlpreopen; then if test -z "$libdir" && test "$linkmode" = prog; then func_fatal_error "only libraries may -dlpreopen a convenience library: \`$lib'" fi # Prefer using a static library (so that no silly _DYNAMIC symbols # are required to link). if test -n "$old_library"; then newdlprefiles="$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 "$libdir" && \ dlpreconveniencelibs="$dlpreconveniencelibs $dir/$old_library" # Otherwise, use the dlname, so that lt_dlopen finds it. elif test -n "$dlname"; then newdlprefiles="$newdlprefiles $dir/$dlname" else newdlprefiles="$newdlprefiles $dir/$linklib" fi fi # $pass = dlpreopen if test -z "$libdir"; then # Link the convenience library if test "$linkmode" = lib; then deplibs="$dir/$old_library $deplibs" elif test "$linkmode,$pass" = "prog,link"; then compile_deplibs="$dir/$old_library $compile_deplibs" finalize_deplibs="$dir/$old_library $finalize_deplibs" else deplibs="$lib $deplibs" # used for prog,scan pass fi continue fi if test "$linkmode" = prog && test "$pass" != link; then newlib_search_path="$newlib_search_path $ladir" deplibs="$lib $deplibs" linkalldeplibs=no if test "$link_all_deplibs" != no || test -z "$library_names" || test "$build_libtool_libs" = no; then linkalldeplibs=yes fi tmp_libs= for deplib in $dependency_libs; do case $deplib in -L*) func_stripname '-L' '' "$deplib" newlib_search_path="$newlib_search_path $func_stripname_result" ;; esac # Need to link against all dependency_libs? if test "$linkalldeplibs" = yes; then deplibs="$deplib $deplibs" else # Need to hardcode shared library paths # or/and link against static libraries newdependency_libs="$deplib $newdependency_libs" fi if $opt_duplicate_deps ; then case "$tmp_libs " in *" $deplib "*) specialdeplibs="$specialdeplibs $deplib" ;; esac fi tmp_libs="$tmp_libs $deplib" done # for deplib continue fi # $linkmode = prog... if test "$linkmode,$pass" = "prog,link"; then if test -n "$library_names" && { { test "$prefer_static_libs" = no || test "$prefer_static_libs,$installed" = "built,yes"; } || test -z "$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:"*) ;; *) temp_rpath="$temp_rpath$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 *" $absdir "*) ;; *) compile_rpath="$compile_rpath $absdir" esac ;; esac case " $sys_lib_dlsearch_path " in *" $libdir "*) ;; *) case "$finalize_rpath " in *" $libdir "*) ;; *) finalize_rpath="$finalize_rpath $libdir" esac ;; esac fi # $linkmode,$pass = prog,link... if test "$alldeplibs" = yes && { test "$deplibs_check_method" = pass_all || { test "$build_libtool_libs" = yes && test -n "$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=$prefer_static_libs if test "$use_static_libs" = built && test "$installed" = yes; then use_static_libs=no fi if test -n "$library_names" && { test "$use_static_libs" = no || test -z "$old_library"; }; then case $host in *cygwin* | *mingw* | *cegcc*) # No point in relinking DLLs because paths are not encoded notinst_deplibs="$notinst_deplibs $lib" need_relink=no ;; *) if test "$installed" = no; then notinst_deplibs="$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 "$dlopenmodule" && test "$shouldnotlink" = yes && test "$pass" = link; then $ECHO if test "$linkmode" = prog; 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 "*** $linklib is not portable!" fi if test "$linkmode" = lib && test "$hardcode_into_libs" = yes; 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 *" $absdir "*) ;; *) compile_rpath="$compile_rpath $absdir" esac ;; esac case " $sys_lib_dlsearch_path " in *" $libdir "*) ;; *) case "$finalize_rpath " in *" $libdir "*) ;; *) finalize_rpath="$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*) 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 "$linkmode" = prog || test "$mode" != relink; then add_shlibpath= add_dir= add= lib_linked=yes case $hardcode_action in immediate | unsupported) if test "$hardcode_direct" = no; 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 can not # 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 "$hardcode_minus_L" = no; then case $host in *-*-sunos*) add_shlibpath="$dir" ;; esac add_dir="-L$dir" add="-l$name" elif test "$hardcode_shlibpath_var" = no; then add_shlibpath="$dir" add="-l$name" else lib_linked=no fi ;; relink) if test "$hardcode_direct" = yes && test "$hardcode_direct_absolute" = no; then add="$dir/$linklib" elif test "$hardcode_minus_L" = yes; then add_dir="-L$dir" # Try looking first in the location we're being installed to. if test -n "$inst_prefix_dir"; then case $libdir in [\\/]*) add_dir="$add_dir -L$inst_prefix_dir$libdir" ;; esac fi add="-l$name" elif test "$hardcode_shlibpath_var" = yes; then add_shlibpath="$dir" add="-l$name" else lib_linked=no fi ;; *) lib_linked=no ;; esac if test "$lib_linked" != yes; then func_fatal_configuration "unsupported hardcode properties" fi if test -n "$add_shlibpath"; then case :$compile_shlibpath: in *":$add_shlibpath:"*) ;; *) compile_shlibpath="$compile_shlibpath$add_shlibpath:" ;; esac fi if test "$linkmode" = prog; then test -n "$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 $deplibs" if test "$hardcode_direct" != yes && test "$hardcode_minus_L" != yes && test "$hardcode_shlibpath_var" = yes; then case :$finalize_shlibpath: in *":$libdir:"*) ;; *) finalize_shlibpath="$finalize_shlibpath$libdir:" ;; esac fi fi fi if test "$linkmode" = prog || test "$mode" = relink; then add_shlibpath= add_dir= add= # Finalize command for both is simple: just hardcode it. if test "$hardcode_direct" = yes && test "$hardcode_direct_absolute" = no; then add="$libdir/$linklib" elif test "$hardcode_minus_L" = yes; then add_dir="-L$libdir" add="-l$name" elif test "$hardcode_shlibpath_var" = yes; then case :$finalize_shlibpath: in *":$libdir:"*) ;; *) finalize_shlibpath="$finalize_shlibpath$libdir:" ;; esac add="-l$name" elif test "$hardcode_automatic" = yes; 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 $libdir in [\\/]*) add_dir="$add_dir -L$inst_prefix_dir$libdir" ;; esac fi add="-l$name" fi if test "$linkmode" = prog; 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 $deplibs" fi fi elif test "$linkmode" = prog; 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 "$hardcode_direct" != unsupported; then test -n "$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 $finalize_deplibs" fi elif test "$build_libtool_libs" = yes; then # Not a shared library if test "$deplibs_check_method" != pass_all; 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 can not 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" $ECHO "*** shared version of the library, which you do not appear to have." if test "$module" = yes; 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." $ECHO "*** \`nm' from GNU binutils and a full rebuild may help." fi if test "$build_old_libs" = no; then build_libtool_libs=module build_old_libs=yes else build_libtool_libs=no fi fi else deplibs="$dir/$old_library $deplibs" link_static=yes fi fi # link shared/static library? if test "$linkmode" = lib; then if test -n "$dependency_libs" && { test "$hardcode_into_libs" != yes || test "$build_old_libs" = yes || test "$link_static" = yes; }; 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 *" $temp_xrpath "*) ;; *) xrpath="$xrpath $temp_xrpath";; esac;; *) temp_deplibs="$temp_deplibs $libdir";; esac done dependency_libs="$temp_deplibs" fi newlib_search_path="$newlib_search_path $absdir" # Link against this library test "$link_static" = no && newdependency_libs="$abs_ladir/$laname $newdependency_libs" # ... and its dependency_libs tmp_libs= for deplib in $dependency_libs; do newdependency_libs="$deplib $newdependency_libs" if $opt_duplicate_deps ; then case "$tmp_libs " in *" $deplib "*) specialdeplibs="$specialdeplibs $deplib" ;; esac fi tmp_libs="$tmp_libs $deplib" done if test "$link_all_deplibs" != no; then # Add the search paths of all dependency libraries for deplib in $dependency_libs; do case $deplib in -L*) path="$deplib" ;; *.la) 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 $1;exit}}'` fi compiler_flags="$compiler_flags ${wl}-dylib_file ${wl}${darwin_install_name}:${depdepl}" linker_flags="$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 $libs if test "$pass" = link; then if test "$linkmode" = "prog"; then compile_deplibs="$new_inherited_linker_flags $compile_deplibs" finalize_deplibs="$new_inherited_linker_flags $finalize_deplibs" else compiler_flags="$compiler_flags "`$ECHO "X $new_inherited_linker_flags" | $Xsed -e 's% \([^ $]*\).ltframework% -framework \1%g'` fi fi dependency_libs="$newdependency_libs" if test "$pass" = dlpreopen; then # Link the dlpreopened libraries before other libraries for deplib in $save_deplibs; do deplibs="$deplib $deplibs" done fi if test "$pass" != dlopen; then if test "$pass" != conv; then # Make sure lib_search_path contains only unique directories. lib_search_path= for dir in $newlib_search_path; do case "$lib_search_path " in *" $dir "*) ;; *) lib_search_path="$lib_search_path $dir" ;; esac done newlib_search_path= fi if test "$linkmode,$pass" != "prog,link"; then vars="deplibs" else vars="compile_deplibs finalize_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 *" $deplib "*) ;; *) tmp_libs="$tmp_libs $deplib" ;; esac ;; *) tmp_libs="$tmp_libs $deplib" ;; esac done eval $var=\"$tmp_libs\" done # for var fi # 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 tmp_libs="$tmp_libs $i" fi done dependency_libs=$tmp_libs done # for pass if test "$linkmode" = prog; then dlfiles="$newdlfiles" fi if test "$linkmode" = prog || test "$linkmode" = lib; then dlprefiles="$newdlprefiles" fi case $linkmode in oldlib) if test -n "$dlfiles$dlprefiles" || test "$dlself" != no; 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" objs="$objs$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=\"$libname_spec\" ;; *) test "$module" = no && \ func_fatal_help "libtool library \`$output' must begin with \`lib'" if test "$need_lib_prefix" != no; 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 "$objs"; then if test "$deplibs_check_method" != pass_all; 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 $objs is not portable!" libobjs="$libobjs $objs" fi fi test "$dlself" != no && \ func_warning "\`-dlopen self' is ignored for libtool libraries" set dummy $rpath shift test "$#" -gt 1 && \ func_warning "ignoring multiple \`-rpath's for a libtool library" install_libdir="$1" oldlibs= if test -z "$rpath"; then if test "$build_libtool_libs" = yes; then # Building a libtool convenience library. # Some compilers have problems with a `.al' extension so # convenience libraries should have the same extension an # archive normally would. oldlibs="$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 # which has an extra 1 added just for fun # case $version_type in darwin|linux|osf|windows|none) func_arith $number_major + $number_minor current=$func_arith_result age="$number_minor" revision="$number_revision" ;; freebsd-aout|freebsd-elf|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" ;; freebsd-aout) major=".$current" versuffix=".$current.$revision"; ;; freebsd-elf) major=".$current" versuffix=".$current" ;; irix | nonstopux) if test "X$lt_irix_increment" = "Xno"; 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=$revision while test "$loop" -ne 0; 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) 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=$age while test "$loop" -ne 0; 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. verstring="$verstring:${current}.0" ;; qnx) major=".$current" versuffix=".$current" ;; sunos) major=".$current" versuffix=".$current.$revision" ;; windows) # Use '-' rather than '.', since we only want one # extension on DOS 8.3 filesystems. 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 $version_type in darwin) # we can't check for "0.0" in archive_cmds due to quoting # problems, so we reset it completely verstring= ;; *) verstring="0.0" ;; esac if test "$need_version" = no; then versuffix= else versuffix=".0.0" fi fi # Remove version info from name if versioning should be avoided if test "$avoid_version" = yes && test "$need_version" = no; then major= versuffix= verstring="" fi # Check to see if the archive will have undefined symbols. if test "$allow_undefined" = yes; then if test "$allow_undefined_flag" = unsupported; then func_warning "undefined symbols not allowed in $host shared libraries" build_libtool_libs=no build_old_libs=yes fi else # Don't allow undefined symbols. allow_undefined_flag="$no_undefined_flag" fi fi func_generate_dlsyms "$libname" "$libname" "yes" libobjs="$libobjs $symfileobj" test "X$libobjs" = "X " && libobjs= if test "$mode" != relink; then # Remove our outputs, but don't remove object files since they # may have been created when compiling PIC objects. removelist= tempremovelist=`$ECHO "$output_objdir/*"` for p in $tempremovelist; do case $p in *.$objext | *.gcno) ;; $output_objdir/$outputname | $output_objdir/$libname.* | $output_objdir/${libname}${release}.*) if test "X$precious_files_regex" != "X"; then if $ECHO "$p" | $EGREP -e "$precious_files_regex" >/dev/null 2>&1 then continue fi fi removelist="$removelist $p" ;; *) ;; esac done test -n "$removelist" && \ func_show_eval "${RM}r \$removelist" fi # Now set the variables for building old libraries. if test "$build_old_libs" = yes && test "$build_libtool_libs" != convenience ; then oldlibs="$oldlibs $output_objdir/$libname.$libext" # Transform .lo files to .o files. oldobjs="$objs "`$ECHO "X$libobjs" | $SP2NL | $Xsed -e '/\.'${libext}'$/d' -e "$lo2o" | $NL2SP` fi # Eliminate all temporary directories. #for path in $notinst_path; do # lib_search_path=`$ECHO "X$lib_search_path " | $Xsed -e "s% $path % %g"` # deplibs=`$ECHO "X$deplibs " | $Xsed -e "s% -L$path % %g"` # dependency_libs=`$ECHO "X$dependency_libs " | $Xsed -e "s% -L$path % %g"` #done if test -n "$xrpath"; then # If the user specified any rpath flags, then add them. temp_xrpath= for libdir in $xrpath; do temp_xrpath="$temp_xrpath -R$libdir" case "$finalize_rpath " in *" $libdir "*) ;; *) finalize_rpath="$finalize_rpath $libdir" ;; esac done if test "$hardcode_into_libs" != yes || test "$build_old_libs" = yes; then dependency_libs="$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 *" $lib "*) ;; *) dlfiles="$dlfiles $lib" ;; esac done # Make sure dlprefiles contains only unique files old_dlprefiles="$dlprefiles" dlprefiles= for lib in $old_dlprefiles; do case "$dlprefiles " in *" $lib "*) ;; *) dlprefiles="$dlprefiles $lib" ;; esac done if test "$build_libtool_libs" = yes; then if test -n "$rpath"; then case $host in *-*-cygwin* | *-*-mingw* | *-*-pw32* | *-*-os2* | *-*-beos* | *-cegcc*) # these systems don't actually have a c library (as such)! ;; *-*-rhapsody* | *-*-darwin1.[012]) # Rhapsody C library is in the System framework deplibs="$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 "$build_libtool_need_lc" = "yes"; then deplibs="$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` 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=`$ECHO "X$potlib" | $Xsed -e 's,[^/]*$,,'`"$potliblink";; esac done if eval $file_magic_cmd \"\$potlib\" 2>/dev/null | $SED -e 10q | $EGREP "$file_magic_regex" > /dev/null; then newdeplibs="$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: $potlib" fi fi ;; *) # Add a -L argument. newdeplibs="$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=$func_stripname_result if test "X$allow_libtool_libs_with_static_runtimes" = "Xyes" ; then case " $predeps $postdeps " in *" $a_deplib "*) newdeplibs="$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 \"X$potent_lib\"" 2>/dev/null | $Xsed -e 10q | \ $EGREP "$match_pattern_regex" > /dev/null; then newdeplibs="$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: $potlib" fi fi ;; *) # Add a -L argument. newdeplibs="$newdeplibs $a_deplib" ;; esac done # Gone through all deplibs. ;; none | unknown | *) newdeplibs="" tmp_deplibs=`$ECHO "X $deplibs" | $Xsed \ -e 's/ -lc$//' -e 's/ -[LR][^ ]*//g'` if test "X$allow_libtool_libs_with_static_runtimes" = "Xyes" ; then for i in $predeps $postdeps ; do # can't use Xsed below, because $i might contain '/' tmp_deplibs=`$ECHO "X $tmp_deplibs" | $Xsed -e "s,$i,,"` done fi if $ECHO "X $tmp_deplibs" | $Xsed -e 's/[ ]//g' | $GREP . >/dev/null; then $ECHO if test "X$deplibs_check_method" = "Xnone"; 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 $ECHO "*** All declared inter-library dependencies are being dropped." droppeddeps=yes fi ;; esac versuffix=$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 "X $newdeplibs" | $Xsed -e 's/ -lc / System.ltframework /'` ;; esac if test "$droppeddeps" = yes; then if test "$module" = yes; 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." $ECHO "*** \`nm' from GNU binutils and a full rebuild may help." fi if test "$build_old_libs" = no; 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" $ECHO "*** or is declared to -dlopen it." if test "$allow_undefined" = no; 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," $ECHO "*** libtool will only create a static version of it." if test "$build_old_libs" = no; 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 "X $newdeplibs" | $Xsed -e 's% \([^ $]*\).ltframework% -framework \1%g'` new_inherited_linker_flags=`$ECHO "X $new_inherited_linker_flags" | $Xsed -e 's% \([^ $]*\).ltframework% -framework \1%g'` deplibs=`$ECHO "X $deplibs" | $Xsed -e '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/$objdir "*) new_libs="$new_libs -L$path/$objdir" ;; esac ;; esac done for deplib in $deplibs; do case $deplib in -L*) case " $new_libs " in *" $deplib "*) ;; *) new_libs="$new_libs $deplib" ;; esac ;; *) new_libs="$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 "$build_libtool_libs" = yes; then if test "$hardcode_into_libs" = yes; then # Hardcode the library paths hardcode_libdirs= dep_rpath= rpath="$finalize_rpath" test "$mode" != relink && rpath="$compile_rpath$rpath" for libdir in $rpath; do if test -n "$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"*) ;; *) hardcode_libdirs="$hardcode_libdirs$hardcode_libdir_separator$libdir" ;; esac fi else eval flag=\"$hardcode_libdir_flag_spec\" dep_rpath="$dep_rpath $flag" fi elif test -n "$runpath_var"; then case "$perm_rpath " in *" $libdir "*) ;; *) perm_rpath="$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" if test -n "$hardcode_libdir_flag_spec_ld"; then eval dep_rpath=\"$hardcode_libdir_flag_spec_ld\" else eval dep_rpath=\"$hardcode_libdir_flag_spec\" fi fi if test -n "$runpath_var" && test -n "$perm_rpath"; then # We should set the runpath_var. rpath= for dir in $perm_rpath; do rpath="$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 "$mode" != relink && shlibpath="$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 linknames="$linknames $link" done # Use standard objects if they are pic test -z "$pic_flag" && libobjs=`$ECHO "X$libobjs" | $SP2NL | $Xsed -e "$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" delfiles="$delfiles $export_symbols" fi orig_export_symbols= case $host_os in cygwin* | mingw* | cegcc*) if test -n "$export_symbols" && test -z "$export_symbols_regex"; then # exporting using user supplied symfile if test "x`$SED 1q $export_symbols`" != xEXPORTS; then # and it's NOT already a .def file. Must figure out # which of the given symbols are data symbols and tag # them as such. So, trigger use of export_symbols_cmds. # export_symbols gets reassigned inside the "prepare # the list of exported symbols" if statement, so the # include_expsyms logic still works. orig_export_symbols="$export_symbols" export_symbols= always_export_symbols=yes fi fi ;; esac # Prepare the list of exported symbols if test -z "$export_symbols"; then if test "$always_export_symbols" = yes || 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 cmd in $cmds; do IFS="$save_ifs" eval cmd=\"$cmd\" func_len " $cmd" len=$func_len_result if test "$len" -lt "$max_cmd_len" || test "$max_cmd_len" -le -1; then func_show_eval "$cmd" 'exit $?' skipped_export=false else # The command line is too long to execute in one step. func_verbose "using reloadable object file for export list..." skipped_export=: # Break out early, otherwise skipped_export may be # set to false by a later but shorter cmd. break fi done IFS="$save_ifs" if test -n "$export_symbols_regex" && test "X$skipped_export" != "X:"; 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 "X$include_expsyms" | $Xsed | $SP2NL >> "$tmp_export_symbols"' fi if test "X$skipped_export" != "X:" && test -n "$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 delfiles="$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 *" $test_deplib "*) ;; *) tmp_deplibs="$tmp_deplibs $test_deplib" ;; esac done deplibs="$tmp_deplibs" if test -n "$convenience"; then if test -n "$whole_archive_flag_spec" && test "$compiler_needs_object" = yes && test -z "$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" generated="$generated $gentop" func_extract_archives $gentop $convenience libobjs="$libobjs $func_extract_archives_result" test "X$libobjs" = "X " && libobjs= fi fi if test "$thread_safe" = yes && test -n "$thread_safe_flag_spec"; then eval flag=\"$thread_safe_flag_spec\" linker_flags="$linker_flags $flag" fi # Make a backup of the uninstalled library when relinking if test "$mode" = relink; then $opt_dry_run || eval '(cd $output_objdir && $RM ${realname}U && $MV $realname ${realname}U)' || exit $? fi # Do each of the archive commands. if test "$module" = yes && 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=$archive_cmds fi fi if test "X$skipped_export" != "X:" && 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=$output output_la=`$ECHO "X$output" | $Xsed -e "$basename"` # Clear the reloadable object creation command queue and # initialize k to one. test_cmds= concat_cmds= objlist= last_robj= k=1 if test -n "$save_libobjs" && test "X$skipped_export" != "X:" && test "$with_gnu_ld" = yes; then output=${output_objdir}/${output_la}.lnkscript func_verbose "creating GNU ld script: $output" $ECHO 'INPUT (' > $output for obj in $save_libobjs do $ECHO "$obj" >> $output done $ECHO ')' >> $output delfiles="$delfiles $output" elif test -n "$save_libobjs" && test "X$skipped_export" != "X:" && test "X$file_list_spec" != X; then output=${output_objdir}/${output_la}.lnk func_verbose "creating linker input file list: $output" : > $output set x $save_libobjs shift firstobj= if test "$compiler_needs_object" = yes; then firstobj="$1 " shift fi for obj do $ECHO "$obj" >> $output done delfiles="$delfiles $output" output=$firstobj\"$file_list_spec$output\" 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 "X$objlist" = X || test "$len" -lt "$max_cmd_len"; then func_append objlist " $obj" else # The command $test_cmds is almost too long, add a # command to the queue. if test "$k" -eq 1 ; then # The first file doesn't have a previous command to add. eval concat_cmds=\"$reload_cmds $objlist $last_robj\" else # All subsequent reloadable object files will link in # the last one created. eval concat_cmds=\"\$concat_cmds~$reload_cmds $objlist $last_robj~\$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~ eval concat_cmds=\"\${concat_cmds}$reload_cmds $objlist $last_robj\" if test -n "$last_robj"; then eval concat_cmds=\"\${concat_cmds}~\$RM $last_robj\" fi delfiles="$delfiles $output" else output= fi if ${skipped_export-false}; then func_verbose "generating symbol list for \`$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 $last_robj\" fi fi test -n "$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" $opt_silent || { func_quote_for_expand "$cmd" eval "func_echo $func_quote_for_expand_result" } $opt_dry_run || eval "$cmd" || { lt_exit=$? # Restore the uninstalled library and exit if test "$mode" = relink; 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 if ${skipped_export-false}; then if test -n "$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 "X$include_expsyms" | $Xsed | $SP2NL >> "$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 delfiles="$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 > $export_symbols fi fi libobjs=$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 $libobjs for piecewise linking. # Do each of the archive commands. if test "$module" = yes && 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" generated="$generated $gentop" func_extract_archives $gentop $dlprefiles libobjs="$libobjs $func_extract_archives_result" test "X$libobjs" = "X " && libobjs= fi save_ifs="$IFS"; IFS='~' for cmd in $cmds; do IFS="$save_ifs" eval cmd=\"$cmd\" $opt_silent || { func_quote_for_expand "$cmd" eval "func_echo $func_quote_for_expand_result" } $opt_dry_run || eval "$cmd" || { lt_exit=$? # Restore the uninstalled library and exit if test "$mode" = relink; 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 "$mode" = relink; 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 $?' fi done # If -module or -export-dynamic was specified, set the dlname. if test "$module" = yes || test "$export_dynamic" = yes; then # On all known operating systems, these are identical. dlname="$soname" fi fi ;; obj) if test -n "$dlfiles$dlprefiles" || test "$dlself" != no; 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= # reload_cmds runs $LD directly, so let us get rid of # -Wl from whole_archive_flag_spec and hope we can get by with # turning comma into space.. wl= if test -n "$convenience"; then if test -n "$whole_archive_flag_spec"; then eval tmp_whole_archive_flags=\"$whole_archive_flag_spec\" reload_conv_objs=$reload_objs\ `$ECHO "X$tmp_whole_archive_flags" | $Xsed -e 's|,| |g'` else gentop="$output_objdir/${obj}x" generated="$generated $gentop" func_extract_archives $gentop $convenience reload_conv_objs="$reload_objs $func_extract_archives_result" fi fi # Create the old-style object. reload_objs="$objs$old_deplibs "`$ECHO "X$libobjs" | $SP2NL | $Xsed -e '/\.'${libext}$'/d' -e '/\.lib$/d' -e "$lo2o" | $NL2SP`" $reload_conv_objs" ### testsuite: skip nested quoting test output="$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 $EXIT_SUCCESS fi if test "$build_libtool_libs" != yes; then 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 $EXIT_SUCCESS fi if test -n "$pic_flag" || test "$pic_mode" != default; then # Only do commands if we really have different PIC objects. reload_objs="$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 "$release" && \ func_warning "\`-release' is ignored for programs" test "$preload" = yes \ && test "$dlopen_support" = unknown \ && test "$dlopen_self" = unknown \ && test "$dlopen_self_static" = unknown && \ 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 "X $compile_deplibs" | $Xsed -e 's/ -lc / System.ltframework /'` finalize_deplibs=`$ECHO "X $finalize_deplibs" | $Xsed -e 's/ -lc / System.ltframework /'` ;; esac case $host in *-*-darwin*) # Don't allow lazy linking, it breaks C++ global constructors # But is supposedly fixed on 10.4 or later (yay!). if test "$tagname" = CXX ; then case ${MACOSX_DEPLOYMENT_TARGET-10.0} in 10.[0123]) compile_command="$compile_command ${wl}-bind_at_load" finalize_command="$finalize_command ${wl}-bind_at_load" ;; esac fi # Time to change all our "foo.ltframework" stuff back to "-framework foo" compile_deplibs=`$ECHO "X $compile_deplibs" | $Xsed -e 's% \([^ $]*\).ltframework% -framework \1%g'` finalize_deplibs=`$ECHO "X $finalize_deplibs" | $Xsed -e '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/$objdir "*) new_libs="$new_libs -L$path/$objdir" ;; esac ;; esac done for deplib in $compile_deplibs; do case $deplib in -L*) case " $new_libs " in *" $deplib "*) ;; *) new_libs="$new_libs $deplib" ;; esac ;; *) new_libs="$new_libs $deplib" ;; esac done compile_deplibs="$new_libs" compile_command="$compile_command $compile_deplibs" finalize_command="$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 *" $libdir "*) ;; *) finalize_rpath="$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"*) ;; *) hardcode_libdirs="$hardcode_libdirs$hardcode_libdir_separator$libdir" ;; esac fi else eval flag=\"$hardcode_libdir_flag_spec\" rpath="$rpath $flag" fi elif test -n "$runpath_var"; then case "$perm_rpath " in *" $libdir "*) ;; *) perm_rpath="$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=$libdir;; *) dllsearchpath="$dllsearchpath:$libdir";; esac case :$dllsearchpath: in *":$testbindir:"*) ;; ::) dllsearchpath=$testbindir;; *) dllsearchpath="$dllsearchpath:$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"*) ;; *) hardcode_libdirs="$hardcode_libdirs$hardcode_libdir_separator$libdir" ;; esac fi else eval flag=\"$hardcode_libdir_flag_spec\" rpath="$rpath $flag" fi elif test -n "$runpath_var"; then case "$finalize_perm_rpath " in *" $libdir "*) ;; *) finalize_perm_rpath="$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 "$libobjs" && test "$build_old_libs" = yes; then # Transform all the library objects into standard objects. compile_command=`$ECHO "X$compile_command" | $SP2NL | $Xsed -e "$lo2o" | $NL2SP` finalize_command=`$ECHO "X$finalize_command" | $SP2NL | $Xsed -e "$lo2o" | $NL2SP` fi func_generate_dlsyms "$outputname" "@PROGRAM@" "no" # template prelinking step if test -n "$prelink_cmds"; then func_execute_cmds "$prelink_cmds" 'exit $?' fi wrappers_required=yes case $host in *cygwin* | *mingw* ) if test "$build_libtool_libs" != yes; then wrappers_required=no fi ;; *cegcc) # Disable wrappers for cegcc, we are cross compiling anyway. wrappers_required=no ;; *) if test "$need_relink" = no || test "$build_libtool_libs" != yes; then wrappers_required=no fi ;; esac if test "$wrappers_required" = no; then # Replace the output file specification. compile_command=`$ECHO "X$compile_command" | $Xsed -e 's%@OUTPUT@%'"$output"'%g'` link_command="$compile_command$compile_rpath" # We have no uninstalled library dependencies, so finalize right now. exit_status=0 func_show_eval "$link_command" 'exit_status=$?' # Delete the generated files. if test -f "$output_objdir/${outputname}S.${objext}"; then func_show_eval '$RM "$output_objdir/${outputname}S.${objext}"' fi exit $exit_status fi if test -n "$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 $perm_rpath; do rpath="$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 $finalize_perm_rpath; do rpath="$rpath$dir:" done finalize_var="$runpath_var=\"$rpath\$$runpath_var\" " fi fi if test "$no_install" = yes; then # We don't need to create a wrapper script. link_command="$compile_var$compile_command$compile_rpath" # Replace the output file specification. link_command=`$ECHO "X$link_command" | $Xsed -e 's%@OUTPUT@%'"$output"'%g'` # Delete the old output file. $opt_dry_run || $RM $output # Link the executable and exit func_show_eval "$link_command" 'exit $?' exit $EXIT_SUCCESS fi if test "$hardcode_action" = relink; then # 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 "\`$output' will be relinked during installation" else if test "$fast_install" != no; then link_command="$finalize_var$compile_command$finalize_rpath" if test "$fast_install" = yes; then relink_command=`$ECHO "X$compile_var$compile_command$compile_rpath" | $Xsed -e 's%@OUTPUT@%\$progdir/\$file%g'` else # fast_install is set to needless relink_command= fi else link_command="$compile_var$compile_command$compile_rpath" relink_command="$finalize_var$finalize_command$finalize_rpath" fi fi # Replace the output file specification. link_command=`$ECHO "X$link_command" | $Xsed -e 's%@OUTPUT@%'"$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 $?' # 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 "X$relink_command" | $Xsed -e "$sed_quote_subst"` fi # Quote $ECHO for shipping. if test "X$ECHO" = "X$SHELL $progpath --fallback-echo"; then case $progpath in [\\/]* | [A-Za-z]:[\\/]*) qecho="$SHELL $progpath --fallback-echo";; *) qecho="$SHELL `pwd`/$progpath --fallback-echo";; esac qecho=`$ECHO "X$qecho" | $Xsed -e "$sed_quote_subst"` else qecho=`$ECHO "X$ECHO" | $Xsed -e "$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 $oldlibs; do if test "$build_libtool_libs" = convenience; then oldobjs="$libobjs_save $symfileobj" addlibs="$convenience" build_libtool_libs=no else if test "$build_libtool_libs" = module; then oldobjs="$libobjs_save" build_libtool_libs=no else oldobjs="$old_deplibs $non_pic_objects" if test "$preload" = yes && test -f "$symfileobj"; then oldobjs="$oldobjs $symfileobj" fi fi addlibs="$old_convenience" fi if test -n "$addlibs"; then gentop="$output_objdir/${outputname}x" generated="$generated $gentop" func_extract_archives $gentop $addlibs oldobjs="$oldobjs $func_extract_archives_result" fi # Do each command in the archive commands. if test -n "$old_archive_from_new_cmds" && test "$build_libtool_libs" = yes; then cmds=$old_archive_from_new_cmds else # Add any objects from preloaded convenience libraries if test -n "$dlprefiles"; then gentop="$output_objdir/${outputname}x" generated="$generated $gentop" func_extract_archives $gentop $dlprefiles oldobjs="$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/${outputname}x" generated="$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" oldobjs="$oldobjs $gentop/$newobj" ;; *) oldobjs="$oldobjs $obj" ;; esac done fi eval cmds=\"$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 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" ; 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uniqtest.c: Test program to call the cdd library cddlib written by Komei Fukuda, fukuda@ifor.math.ethz.ch Version 0.93c, Nov. 14, 2003 Standard ftp site: ftp.ifor.math.ethz.ch, Directory: pub/fukuda/cdd */ /* 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., 675 Mass Ave, Cambridge, MA 02139, USA. */ #include "setoper.h" #include "cdd.h" #include #include #include #include #include dd_boolean SetInputFile(FILE **f, dd_DataFileType fname) { dd_boolean success=dd_FALSE; success=dd_FALSE; if ( ( *f = fopen(fname, "r") )!= NULL) { printf("input file %s is open\n", fname); success=dd_TRUE; } else{ printf("The input file %s not found\n",fname); } return success; } dd_boolean SetWriteFile(FILE **f, dd_DataFileType fname) { dd_boolean success=dd_FALSE; if ( (*f = fopen(fname, "w")) != NULL){ printf("output file %s is open\n",fname); success=dd_TRUE; } else{ printf("The output file %s cannot be opened\n",fname); } return success; } int main(int argc, char *argv[]) { dd_MatrixPtr M=NULL,M1=NULL,M2=NULL,M3=NULL,M4=NULL; dd_rowrange i; dd_colrange d; dd_ErrorType err=dd_NoError; dd_rowset redrows,linrows; dd_rowindex newpos1=NULL, newpos2=NULL,newpos4=NULL; mytype val; dd_DataFileType inputfile; FILE *reading=NULL; dd_set_global_constants(); /* First, this must be called. */ dd_init(val); if (argc>1) strcpy(inputfile,argv[1]); if (argc<=1 || !SetInputFile(&reading,argv[1])){ dd_WriteProgramDescription(stdout); fprintf(stdout,"\ncddlib test program to remove duplicates.\n"); dd_SetInputFile(&reading,inputfile, &err); } if (err==dd_NoError) { M=dd_PolyFile2Matrix(reading, &err); } else { fprintf(stderr,"Input file not found\n"); goto _L99; } if (err!=dd_NoError) goto _L99; d=M->colsize; printf("\nInput Matrix.\n"); dd_WriteMatrix(stdout, M); M1=dd_MatrixSortedCopy(M,&newpos1); printf("\nNormalize and sort the matrix with dd_MatrixSortedCopy.\n"); printf(" Row index changes -- original:new\n"); for (i=1;i<=M->rowsize; i++){ printf(" %ld:%ld",i,newpos1[i]); } printf("\n"); dd_WriteMatrix(stdout, M1); M2=dd_MatrixUniqueCopy(M1,&newpos2); printf("\nRemove row (consecutive) duplicates with dd_MatrixUniqueCopy.\n"); printf(" Row index changes -- original:new\n"); for (i=1;i<=M1->rowsize; i++){ printf(" %ld:%ld",i,newpos2[i]); } printf("\n"); dd_WriteMatrix(stdout, M2); M4=dd_MatrixSortedUniqueCopy(M,&newpos4); printf("\nTwo operations can be done at once with dd_MatrixSortedUniqueCopy.\n"); printf(" Row index changes -- original:new\n"); for (i=1;i<=M->rowsize; i++){ printf(" %ld:%ld",i,newpos4[i]); } printf("\n"); dd_WriteMatrix(stdout, M4); fprintf(stdout, "\nOne can then remove nontrivial redundant rows with dd_RedundantRows.\n Redundant rows:"); redrows=dd_RedundantRows(M2, &err); set_fwrite(stdout, redrows); M3=dd_MatrixSubmatrix(M2, redrows); dd_FreeMatrix(M1); dd_FreeMatrix(M2); set_free(redrows); fprintf(stdout, " Implicit linearity (after removal of redundant rows): "); linrows=dd_ImplicitLinearityRows(M3, &err); if (M->representation==dd_Generator) fprintf(stdout," %ld ", set_card(linrows)); else fprintf(stdout," %ld ", set_card(linrows)); 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cddlib-094g/src/adjacency.c000066400000000000000000000112661206770251100156430ustar00rootroot00000000000000/* adjacency.c: Test program to call the cdd library cddlib written by Komei Fukuda, fukuda@ifor.math.ethz.ch Version 0.93, July 18, 2003 Standard ftp site: ftp.ifor.math.ethz.ch, Directory: pub/fukuda/cdd */ /* 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., 675 Mass Ave, Cambridge, MA 02139, USA. */ #include "setoper.h" #include "cdd.h" #include #include #include #include #include dd_boolean SetInputFile(FILE **f, dd_DataFileType fname) { dd_boolean success=dd_FALSE; success=dd_FALSE; if ( ( *f = fopen(fname, "r") )!= NULL) { printf("input file %s is open\n", fname); success=dd_TRUE; } else{ printf("The input file %s not found\n",fname); } return success; } dd_boolean SetWriteFile(FILE **f, dd_DataFileType fname) { dd_boolean success=dd_FALSE; if ( (*f = fopen(fname, "w")) != NULL){ printf("output file %s is open\n",fname); success=dd_TRUE; } else{ printf("The output file %s cannot be opened\n",fname); } return success; } int main(int argc, char *argv[]) { dd_MatrixPtr M=NULL,M2=NULL,M3=NULL; dd_SetFamilyPtr A=NULL; dd_colrange d; dd_ErrorType err=dd_NoError; dd_rowset redrows,linrows,ignoredrows, basisrows; dd_colset ignoredcols, basiscols; long rank; mytype val; time_t starttime, endtime; dd_DataFileType inputfile; FILE *reading=NULL; dd_set_global_constants(); /* First, this must be called. */ dd_init(val); if (argc>1) strcpy(inputfile,argv[1]); if (argc<=1 || !SetInputFile(&reading,argv[1])){ dd_WriteProgramDescription(stdout); fprintf(stdout,"\ncddlib test program to remove redundancy and compute adjacency of the resulting representation.\n"); dd_SetInputFile(&reading,inputfile, &err); } if (err==dd_NoError) { M=dd_PolyFile2Matrix(reading, &err); } else { fprintf(stderr,"Input file not found\n"); goto _L99; } if (err!=dd_NoError) goto _L99; if (M->representation==dd_Generator) d=M->colsize+1; else d=M->colsize; fprintf(stdout, "redundant rows:\n"); time(&starttime); redrows=dd_RedundantRows(M, &err); time(&endtime); set_fwrite(stdout, redrows); dd_WriteTimes(stdout,starttime,endtime); M2=dd_MatrixSubmatrix(M, redrows); fprintf(stdout, "Implicit linearity (after removal of redundant rows): "); linrows=dd_ImplicitLinearityRows(M2, &err); if (M->representation==dd_Generator) fprintf(stdout," %ld ", set_card(linrows)); else fprintf(stdout," %ld ", set_card(linrows)); set_fwrite(stdout,linrows); set_uni(M2->linset, M2->linset, linrows); /* add the implicit linrows to the explicit linearity rows */ printf("\nNonredundant representation (except possibly for the linearity part):\n"); dd_WriteMatrix(stdout, M2); /* To remove redundancy of the linearity part, we need to compute the rank and a basis of the linearity part. */ set_initialize(&ignoredrows, M2->rowsize); set_initialize(&ignoredcols, M2->colsize); set_compl(ignoredrows, M2->linset); rank=dd_MatrixRank(M2,ignoredrows,ignoredcols, &basisrows, &basiscols); set_diff(ignoredrows, M2->linset, basisrows); M3=dd_MatrixSubmatrix(M2, ignoredrows); if (rank>0){ if (set_card(ignoredrows)) { fprintf(stdout,"\nThe following %ld linearity rows are dependent and unnecessary:", set_card(ignoredrows)); set_fwrite(stdout,ignoredrows); } } else fprintf(stdout,"\nThe linearity rows are independent and thus minimal\n"); printf("Nonredundant representation (= minimal representation):\n"); dd_WriteMatrix(stdout, M3); printf("\nAdjacency of the minimal representation:\n"); A=dd_Matrix2Adjacency(M3, &err); dd_WriteSetFamily(stdout, A); dd_clear(val); set_free(linrows); set_free(basisrows); set_free(basiscols); set_free(ignoredrows); set_free(ignoredcols); set_free(redrows); if (A!=NULL) dd_FreeSetFamily(A); dd_FreeMatrix(M); dd_FreeMatrix(M2); dd_FreeMatrix(M3); _L99:; if (err!=dd_NoError) dd_WriteErrorMessages(stderr,err); dd_free_global_constants(); /* At the end, this should be called. */ return 0; } /* end of adjacency.c */ cddlib-094g/src/allfaces.c000066400000000000000000000114501206770251100154670ustar00rootroot00000000000000/* allfaces.c: Test program to call the cdd library cddlib written by Komei Fukuda, fukuda@ifor.math.ethz.ch Version 0.94, August 4, 2005 Standard ftp site: ftp.ifor.math.ethz.ch, Directory: pub/fukuda/cdd */ /* 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., 675 Mass Ave, Cambridge, MA 02139, USA. */ #include "setoper.h" #include "cdd.h" #include #include #include #include #include dd_boolean SetInputFile(FILE **f, dd_DataFileType fname) { dd_boolean success=dd_FALSE; success=dd_FALSE; if ( ( *f = fopen(fname, "r") )!= NULL) { printf("input file %s is open\n", fname); success=dd_TRUE; } else{ printf("The input file %s not found\n",fname); } return success; } dd_boolean SetWriteFile(FILE **f, dd_DataFileType fname) { dd_boolean success=dd_FALSE; if ( (*f = fopen(fname, "w")) != NULL){ printf("output file %s is open\n",fname); success=dd_TRUE; } else{ printf("The output file %s cannot be opened\n",fname); } return success; } dd_boolean FaceEnum(dd_MatrixPtr M, dd_rowset R, dd_rowset S, dd_boolean rip, dd_colrange mindim) { dd_ErrorType err; dd_rowset LL, ImL, RR, SS, Lbasis; dd_rowrange i,iprev=0; dd_colrange j,dim; dd_LPSolutionPtr lps=NULL; dd_boolean success=dd_FALSE; set_initialize(&LL, M->rowsize); set_initialize(&RR, M->rowsize); set_initialize(&SS, M->rowsize); set_copy(LL, M->linset); /* rememer the linset. */ set_copy(RR, R); /* copy of R. */ set_copy(SS, S); /* copy of S. */ if (dd_ExistsRestrictedFace(M, R, S, &err)){ set_uni(M->linset, M->linset, R); dd_FindRelativeInterior(M, &ImL, &Lbasis, &lps, &err); dim=M->colsize - set_card(Lbasis)-1; set_uni(M->linset, M->linset, ImL); fprintf(stdout,"%ld: ", dim); set_fwrite(stdout,M->linset); if (rip){ /* Write an interior point. */ printf("RIP: ("); for (j=1; j <(lps->d)-1; j++) { dd_WriteNumber(stdout,lps->sol[j]); } printf(")\n"); } dd_FreeLPSolution(lps); set_free(ImL); set_free(Lbasis); if (dim>mindim){ for (i=1; i<=M->rowsize; i++){ if (!set_member(i, M->linset) && !set_member(i, S)){ set_addelem(RR, i); if (iprev) { set_delelem(RR,iprev); set_delelem(M->linset,iprev); set_addelem(SS, iprev); } iprev=i; FaceEnum(M, RR, SS, rip, mindim); } } } } else if (err!=dd_NoError) goto _L99; success=dd_TRUE; _L99: set_copy(M->linset, LL); /* restore the linset */ set_free(LL); set_free(RR); set_free(SS); return success; } int main(int argc, char *argv[]) { dd_MatrixPtr M=NULL; dd_rowrange m; dd_ErrorType err=dd_NoError; dd_rowset R, S; dd_DataFileType inputfile; FILE *reading=NULL; char ch; dd_colrange mindim; dd_boolean rip=dd_FALSE; dd_set_global_constants(); /* First, this must be called. */ if (argc>1) strcpy(inputfile,argv[1]); if (argc<=1 || !SetInputFile(&reading,argv[1])){ dd_WriteProgramDescription(stdout); fprintf(stdout,"\ncddlib test program to list all faces of an H-polyhedron.\n"); dd_SetInputFile(&reading,inputfile, &err); } if (err==dd_NoError) { M=dd_PolyFile2Matrix(reading, &err); } else { fprintf(stderr,"Input file not found\n"); goto _L99; } if (err!=dd_NoError) goto _L99; if (M->representation==dd_Generator){ printf("The input is V-representation. Consider it as H-representation (N)? "); ch=getchar(); getchar(); if (ch!='y' && ch!='Y') goto _L99; } m=M->rowsize; set_initialize(&R, M->rowsize); set_initialize(&S, M->rowsize); printf("Output relative interior points (N)? "); ch=getchar(); if (ch=='y' || ch=='Y') rip=dd_TRUE; printf("Minimum dimension of faces to list (0..%ld) ? ",M->colsize-1); scanf("%ld", &mindim); if (mindim>=M->colsize) mindim=M->colsize-1; printf("Minimum dimension is set to %ld.", mindim); printf("\n--- FaceEnum (dim: active set) ---\nbegin\n"); FaceEnum(M, R, S, rip, mindim); fprintf(stderr,"end\nFaceEnum completed.\n"); dd_FreeMatrix(M); set_free(R); set_free(S); _L99:; if (err!=dd_NoError) dd_WriteErrorMessages(stderr,err); dd_free_global_constants(); /* At the end, this should be called. */ return 0; } /* end of allfaces.c */ cddlib-094g/src/fourier.c000066400000000000000000000066131206770251100153750ustar00rootroot00000000000000/* fourier.c: Test program to call the cdd library cddlib written by Komei Fukuda, fukuda@ifor.math.ethz.ch Version 0.94, August 4, 2005 Standard ftp site: ftp.ifor.math.ethz.ch, Directory: pub/fukuda/cdd */ /* 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., 675 Mass Ave, Cambridge, MA 02139, USA. */ #include "setoper.h" #include "cdd.h" #include #include #include #include #include dd_boolean SetInputFile(FILE **f, dd_DataFileType fname) { dd_boolean success=dd_FALSE; success=dd_FALSE; if ( ( *f = fopen(fname, "r") )!= NULL) { printf("input file %s is open\n", fname); success=dd_TRUE; } else{ printf("The input file %s not found\n",fname); } return success; } dd_boolean SetWriteFile(FILE **f, dd_DataFileType fname) { dd_boolean success=dd_FALSE; if ( (*f = fopen(fname, "w")) != NULL){ printf("output file %s is open\n",fname); success=dd_TRUE; } else{ printf("The output file %s cannot be opened\n",fname); } return success; } int main(int argc, char *argv[]) { dd_MatrixPtr M=NULL,M1=NULL,M2=NULL; dd_colrange j,s,d; dd_ErrorType err=dd_NoError; dd_rowset redset,impl_linset; dd_rowindex newpos; mytype val; dd_DataFileType inputfile; FILE *reading=NULL; dd_set_global_constants(); /* First, this must be called. */ dd_init(val); if (argc>1) strcpy(inputfile,argv[1]); if (argc<=1 || !SetInputFile(&reading,argv[1])){ dd_WriteProgramDescription(stdout); fprintf(stdout,"\ncddlib test program to apply Fourier's Elimination to an H-polyhedron.\n"); dd_SetInputFile(&reading,inputfile, &err); } if (err==dd_NoError) { M=dd_PolyFile2Matrix(reading, &err); } else { fprintf(stderr,"Input file not found\n"); goto _L99; } if (err!=dd_NoError) goto _L99; d=M->colsize; M2=dd_CopyMatrix(M); printf("How many variables to elminate? (max %ld): ",d-1); scanf("%ld",&s); if (s>0 && s < d){ for (j=1; j<=s; j++){ M1=dd_FourierElimination(M2, &err); printf("\nRemove the variable %ld. The resulting redundant system.\n",d-j); dd_WriteMatrix(stdout, M1); dd_MatrixCanonicalize(&M1, &impl_linset, &redset, &newpos, &err); if (err!=dd_NoError) goto _L99; fprintf(stdout, "\nRedundant rows: "); set_fwrite(stdout, redset); dd_FreeMatrix(M2); M2=M1; set_free(redset); set_free(impl_linset); free(newpos); } printf("\nNonredundant representation:\n"); dd_WriteMatrix(stdout, M1); } else { printf("Value out of range\n"); } dd_FreeMatrix(M); dd_FreeMatrix(M1); dd_clear(val); _L99:; /* if (err!=dd_NoError) dd_WriteErrorMessages(stderr,err); */ dd_free_global_constants(); /* At the end, this should be called. */ return 0; } /* end of fourier.c */ cddlib-094g/src/lcdd.c000066400000000000000000000034311206770251100146230ustar00rootroot00000000000000/* lcdd.c: Main test program to call the cdd library cddlib written by Komei Fukuda, fukuda@ifor.math.ethz.ch and David Avis, avis@mutt.cs.mcgill.ca Version 0.94, August 4, 2005 Standard ftp site: ftp.ifor.math.ethz.ch, Directory: pub/fukuda/cdd */ /* 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., 675 Mass Ave, Cambridge, MA 02139, USA. */ /* This program behaves like lrs by David Avis. Usage: lcdd filein fileout lcdd filein output to stdout lcdd input stdin, output stdout This allows things like lcdd file | lcdd (should give a minimal rep of the input file on stdout) lcdd file | lrs lcdd < filein */ #include "setoper.h" #include "cdd.h" #include #include #include #include #include int main(int argc, char *argv[]) { dd_ErrorType err; dd_set_global_constants(); /* First, this must be called. */ dd_log=dd_TRUE; /* Output log */ if (argc > 2) dd_DDFile2File(argv[1],argv[2],&err); else if (argc > 1) dd_DDFile2File(argv[1],"**stdout",&err); else dd_DDFile2File("**stdin","**stdout",&err); return 0; } /* end of lcdd.c */ cddlib-094g/src/minkowski.c000066400000000000000000000105751206770251100157370ustar00rootroot00000000000000/* minkowski.c: Main test program to call the cdd library cddlib written by Komei Fukuda, fukuda@ifor.math.ethz.ch Version 0.93, July 15, 2003 Standard ftp site: ftp.ifor.math.ethz.ch, Directory: pub/fukuda/cdd */ /* 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., 675 Mass Ave, Cambridge, MA 02139, USA. */ #include "setoper.h" #include "cdd.h" #include #include #include #include #include dd_boolean SetInputFile(FILE **f, dd_DataFileType fname) { dd_boolean success=dd_FALSE; success=dd_FALSE; if ( ( *f = fopen(fname, "r") )!= NULL) { printf("input file %s is open\n", fname); success=dd_TRUE; } else{ printf("The input file %s not found\n",fname); } return success; } dd_boolean SetWriteFile(FILE **f, dd_DataFileType fname) { dd_boolean success=dd_FALSE; if ( (*f = fopen(fname, "w")) != NULL){ printf("output file %s is open\n",fname); success=dd_TRUE; } else{ printf("The output file %s cannot be opened\n",fname); } return success; } int main(int argc, char *argv[]) { dd_PolyhedraPtr poly; dd_LPPtr lp; dd_MatrixPtr M,A; dd_ErrorType err=dd_NoError; dd_DataFileType inputfile,outputfile; FILE *reading=NULL, *writing; dd_set_global_constants(); /* First, this must be called. */ if (argc>1) strcpy(inputfile,argv[1]); if (argc<=1 || !SetInputFile(&reading,argv[1])){ dd_WriteProgramDescription(stdout); dd_SetInputFile(&reading,inputfile, &err); } if (err==dd_NoError) { M=dd_PolyFile2Matrix(reading, &err); } else { printf("Input file not found\n"); goto _L99; } if (err!=dd_NoError) goto _L99; if (M->objective==dd_LPnone){ /* do representation conversion */ poly=dd_DDMatrix2Poly2(M, dd_LexMin, &err); /* equivalent to poly=dd_DDMatrix2Poly2(M, &err) when the second argument is set to dd_LexMin. */ if (err!=dd_NoError) goto _L99; dd_SetWriteFileName(inputfile, outputfile, 'o', poly->representation); SetWriteFile(&writing, outputfile); dd_WriteProgramDescription(writing); dd_WriteRunningMode(writing, poly); switch (poly->representation) { case dd_Inequality: fprintf(writing, "ext_file: Generators\n"); A=dd_CopyGenerators(poly); dd_WriteMatrix(writing,A); dd_FreeMatrix(A); break; case dd_Generator: fprintf(writing, "ine_file: Inequalities\n"); A=dd_CopyInequalities(poly); dd_WriteMatrix(writing,A); dd_FreeMatrix(A); break; default: break; } dd_WriteDDTimes(writing,poly); fclose(writing); dd_SetWriteFileName(inputfile, outputfile, 'a', poly->representation); SetWriteFile(&writing, outputfile); dd_WriteAdjacency(writing,poly); fclose(writing); dd_SetWriteFileName(inputfile, outputfile, 'j', poly->representation); SetWriteFile(&writing, outputfile); dd_WriteInputAdjacency(writing,poly); fclose(writing); dd_SetWriteFileName(inputfile, outputfile, 'i', poly->representation); SetWriteFile(&writing, outputfile); dd_WriteIncidence(writing,poly); fclose(writing); dd_SetWriteFileName(inputfile, outputfile, 'n', poly->representation); SetWriteFile(&writing, outputfile); dd_WriteInputIncidence(writing,poly); fclose(writing); dd_FreeMatrix(M); dd_FreePolyhedra(poly); } else { /* solve the LP */ lp=dd_Matrix2LP(M, &err); if (err!=dd_NoError) goto _L99; dd_LPSolve(lp,dd_DualSimplex,&err); if (err!=dd_NoError) goto _L99; dd_SetWriteFileName(inputfile, outputfile, 's', M->representation); SetWriteFile(&writing, outputfile); dd_WriteLPResult(writing, lp, err); fclose(writing); dd_FreeMatrix(M); dd_FreeLPData(lp); } _L99: if (err!=dd_NoError) dd_WriteErrorMessages(stdout,err); return 0; } /* end of simplecdd.c */ cddlib-094g/src/projection.c000066400000000000000000000064141206770251100160750ustar00rootroot00000000000000/* projection.c: Test program to call the cdd library cddlib written by Komei Fukuda, fukuda@ifor.math.ethz.ch Version 0.94, July 27, 2005 Standard ftp site: ftp.ifor.math.ethz.ch, Directory: pub/fukuda/cdd */ /* 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., 675 Mass Ave, Cambridge, MA 02139, USA. */ #include "setoper.h" #include "cdd.h" #include #include #include #include #include dd_boolean SetInputFile(FILE **f, dd_DataFileType fname) { dd_boolean success=dd_FALSE; success=dd_FALSE; if ( ( *f = fopen(fname, "r") )!= NULL) { printf("input file %s is open\n", fname); success=dd_TRUE; } else{ printf("The input file %s not found\n",fname); } return success; } dd_boolean SetWriteFile(FILE **f, dd_DataFileType fname) { dd_boolean success=dd_FALSE; if ( (*f = fopen(fname, "w")) != NULL){ printf("output file %s is open\n",fname); success=dd_TRUE; } else{ printf("The output file %s cannot be opened\n",fname); } return success; } int main(int argc, char *argv[]) { dd_MatrixPtr M=NULL,M1=NULL; dd_colrange j,s,t,d; dd_ErrorType err=dd_NoError; dd_rowset redset,impl_linset; dd_colset delset; dd_rowindex newpos; mytype val; dd_DataFileType inputfile; FILE *reading=NULL; dd_set_global_constants(); /* First, this must be called. */ dd_init(val); if (argc>1) strcpy(inputfile,argv[1]); if (argc<=1 || !SetInputFile(&reading,argv[1])){ dd_WriteProgramDescription(stdout); fprintf(stdout,"\ncddlib test program to apply the Block Elimination to an H-polyhedron.\n"); dd_SetInputFile(&reading,inputfile, &err); } if (err==dd_NoError) { M=dd_PolyFile2Matrix(reading, &err); } else { fprintf(stderr,"Input file not found\n"); goto _L99; } if (err!=dd_NoError) goto _L99; d=M->colsize; set_initialize(&delset, d); printf("How many variables to elminate? (max %ld): ",d-1); scanf("%ld",&s); for (j=1; j<=s; j++){ printf("\n%ld th deletion variable): ",j); scanf("%ld",&t); set_addelem(delset, t+1); } M1=dd_BlockElimination(M, delset, &err); dd_WriteMatrix(stdout, M1); dd_MatrixCanonicalize(&M1,&impl_linset,&redset,&newpos,&err); if (err!=dd_NoError) goto _L99; fprintf(stdout, "\nRedundant rows: "); set_fwrite(stdout, redset); fprintf(stdout, "\n"); dd_WriteMatrix(stdout, M1); dd_FreeMatrix(M); dd_FreeMatrix(M1); set_free(delset); set_free(redset); set_free(impl_linset); free(newpos); _L99:; /* if (err!=dd_NoError) dd_WriteErrorMessages(stderr,err); */ dd_free_global_constants(); /* At the end, this should be called. */ return 0; } /* end of projection.c */ cddlib-094g/src/redcheck.c000066400000000000000000000066101206770251100154670ustar00rootroot00000000000000/* redcheck.c: Test program to call the cdd library cddlib written by Komei Fukuda, fukuda@ifor.math.ethz.ch Version 0.94, April 4, 2005 Standard ftp site: ftp.ifor.math.ethz.ch, Directory: pub/fukuda/cdd */ /* 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., 675 Mass Ave, Cambridge, MA 02139, USA. */ #include "setoper.h" #include "cdd.h" #include #include #include #include #include dd_boolean SetInputFile(FILE **f, dd_DataFileType fname) { dd_boolean success=dd_FALSE; success=dd_FALSE; if ( ( *f = fopen(fname, "r") )!= NULL) { printf("input file %s is open\n", fname); success=dd_TRUE; } else{ printf("The input file %s not found\n",fname); } return success; } dd_boolean SetWriteFile(FILE **f, dd_DataFileType fname) { dd_boolean success=dd_FALSE; if ( (*f = fopen(fname, "w")) != NULL){ printf("output file %s is open\n",fname); success=dd_TRUE; } else{ printf("The output file %s cannot be opened\n",fname); } return success; } int main(int argc, char *argv[]) { dd_MatrixPtr M=NULL; dd_rowrange i,m; dd_ErrorType err=dd_NoError; dd_rowindex newpos; dd_rowset impl_linset,redset; time_t starttime, endtime; dd_DataFileType inputfile; FILE *reading=NULL; dd_set_global_constants(); /* First, this must be called. */ if (argc>1) strcpy(inputfile,argv[1]); if (argc<=1 || !SetInputFile(&reading,argv[1])){ dd_WriteProgramDescription(stdout); fprintf(stdout,"\ncddlib test program to check redundancy of an H/V-representation.\n"); dd_SetInputFile(&reading,inputfile, &err); } if (err==dd_NoError) { M=dd_PolyFile2Matrix(reading, &err); } else { fprintf(stderr,"Input file not found\n"); goto _L99; } if (err!=dd_NoError) goto _L99; m=M->rowsize; fprintf(stdout, "Canonicalize the matrix.\n"); time(&starttime); dd_MatrixCanonicalize(&M, &impl_linset, &redset, &newpos, &err); time(&endtime); if (err!=dd_NoError) goto _L99; fprintf(stdout, "Implicit linearity rows are:"); set_fwrite(stdout, impl_linset); fprintf(stdout, "\nRedundant rows are:"); set_fwrite(stdout, redset); fprintf(stdout, "\n"); fprintf(stdout, "Nonredundant representation:\n"); fprintf(stdout, "The new row positions are as follows (orig:new).\nEach redundant row has the new number 0.\nEach deleted duplicated row has a number nagative of the row that\nrepresents its equivalence class.\n"); for (i=1; i<=m; i++){ fprintf(stdout, " %ld:%ld",i, newpos[i]); } fprintf(stdout, "\n"); dd_WriteMatrix(stdout, M); dd_WriteTimes(stdout,starttime,endtime); set_free(redset); set_free(impl_linset); dd_FreeMatrix(M); free(newpos); _L99:; if (err!=dd_NoError) dd_WriteErrorMessages(stderr,err); return 0; } /* end of redcheck.c */ cddlib-094g/src/redexter.c000066400000000000000000000102131206770251100155330ustar00rootroot00000000000000/* redexter.c: Test program to call the cdd library cddlib written by Komei Fukuda, fukuda@ifor.math.ethz.ch Version 0.94, November 21, 2005 Standard ftp site: ftp.ifor.math.ethz.ch, Directory: pub/fukuda/cdd */ /* 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., 675 Mass Ave, Cambridge, MA 02139, USA. */ #include "setoper.h" #include "cdd.h" #include #include #include #include #include dd_boolean SetInputFile(FILE **f, dd_DataFileType fname) { dd_boolean success=dd_FALSE; success=dd_FALSE; if ( ( *f = fopen(fname, "r") )!= NULL) { printf("input file %s is open\n", fname); success=dd_TRUE; } else{ printf("The input file %s not found\n",fname); } return success; } dd_boolean SetWriteFile(FILE **f, dd_DataFileType fname) { dd_boolean success=dd_FALSE; if ( (*f = fopen(fname, "w")) != NULL){ printf("output file %s is open\n",fname); success=dd_TRUE; } else{ printf("The output file %s cannot be opened\n",fname); } return success; } int main(int argc, char *argv[]) { dd_MatrixPtr M1=NULL,M2=NULL,M2row=NULL,M1plus=NULL; dd_colrange d1; dd_rowrange i,m1,m2,m1plus; dd_ErrorType err=dd_NoError,err1=dd_NoError,err2=dd_NoError; dd_rowset delset,rowset2; dd_Arow cvec; /* certificate */ time_t starttime, endtime; dd_DataFileType inputfile1,inputfile2; FILE *reading1=NULL,*reading2=NULL; dd_set_global_constants(); /* First, this must be called. */ dd_WriteProgramDescription(stdout); fprintf(stdout,"\ncddlib test program to check redundancy of additional data.\n"); if (argc>2){ strcpy(inputfile1,argv[1]); strcpy(inputfile2,argv[2]); } /* if (argc<=2){ fprintf(stdout,"\nUsage:\n redexter file1 file2\n"); goto _L99; } */ if (!SetInputFile(&reading1,argv[1])){ fprintf(stdout,"\nSpecify file1.\n"); dd_SetInputFile(&reading1,inputfile1, &err1); } if (!SetInputFile(&reading2,argv[2])){ fprintf(stdout,"\nSpecify the secondary file.\n"); dd_SetInputFile(&reading2,inputfile2, &err2); } if ((err1==dd_NoError) && (err2==dd_NoError)) { M1=dd_PolyFile2Matrix(reading1, &err1); M2=dd_PolyFile2Matrix(reading2, &err2); } else { fprintf(stderr,"Input file(s) not found\n"); goto _L99; } if ((err1!=dd_NoError) || (err2!=dd_NoError)) goto _L99; m1=M1->rowsize; m2=M2->rowsize; set_initialize(&delset,m2); m1plus=m1+1; if (M1->representation==dd_Generator){ d1=(M1->colsize)+1; } else { d1=M1->colsize; } dd_InitializeArow(d1,&cvec); fprintf(stdout, "\nThe first matrix\n"); dd_WriteMatrix(stdout, M1); fprintf(stdout, "\nThe second matrix\n"); dd_WriteMatrix(stdout, M2); printf("\nChecking whether each row of the second matrix is redundant w.r.t. the first.\n"); time(&starttime); for (i=1; i<=m2; i++){ set_initialize(&rowset2,m2); set_addelem(rowset2, i); set_compl(delset, rowset2); M2row=dd_MatrixSubmatrix(M2, delset); M1plus=dd_MatrixAppend(M1,M2row); if (dd_Redundant(M1plus, m1plus, cvec, &err)) { printf("%ld-th row: redundant\n", i); } else { printf("%ld-th row: non-redundant\n A certificate:", i); dd_WriteArow(stdout, cvec, d1); } dd_FreeMatrix(M1plus); dd_FreeMatrix(M2row); set_free(rowset2); } time(&endtime); dd_WriteTimes(stdout,starttime,endtime); set_free(delset); dd_FreeMatrix(M1); dd_FreeMatrix(M2); _L99:; if (err1!=dd_NoError) dd_WriteErrorMessages(stderr,err1); if (err2!=dd_NoError) dd_WriteErrorMessages(stderr,err2); return 0; } /* end of redexter.c */ cddlib-094g/src/redundancies.c000066400000000000000000000063511206770251100163650ustar00rootroot00000000000000/* redcheck.c: Test program to call the cdd library cddlib written by Komei Fukuda, fukuda@ifor.math.ethz.ch Version 0.92, December 11, 2001 Standard ftp site: ftp.ifor.math.ethz.ch, Directory: pub/fukuda/cdd */ /* 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., 675 Mass Ave, Cambridge, MA 02139, USA. */ #include "setoper.h" #include "cdd.h" #include #include #include #include #include dd_boolean SetInputFile(FILE **f, dd_DataFileType fname) { dd_boolean success=dd_FALSE; success=dd_FALSE; if ( ( *f = fopen(fname, "r") )!= NULL) { printf("input file %s is open\n", fname); success=dd_TRUE; } else{ printf("The input file %s not found\n",fname); } return success; } dd_boolean SetWriteFile(FILE **f, dd_DataFileType fname) { dd_boolean success=dd_FALSE; if ( (*f = fopen(fname, "w")) != NULL){ printf("output file %s is open\n",fname); success=dd_TRUE; } else{ printf("The output file %s cannot be opened\n",fname); } return success; } int main(int argc, char *argv[]) { dd_MatrixPtr M=NULL,M2=NULL; dd_colrange d; dd_ErrorType err=dd_NoError; dd_rowset redrows,linrows; mytype val; dd_DataFileType inputfile; FILE *reading=NULL; dd_set_global_constants(); /* First, this must be called. */ dd_init(val); if (argc>1) strcpy(inputfile,argv[1]); if (argc<=1 || !SetInputFile(&reading,argv[1])){ dd_WriteProgramDescription(stdout); fprintf(stdout,"\ncddlib test program to check redundancy of an H/V-representation.\n"); dd_SetInputFile(&reading,inputfile, &err); } if (err==dd_NoError) { M=dd_PolyFile2Matrix(reading, &err); } else { fprintf(stderr,"Input file not found\n"); goto _L99; } if (err!=dd_NoError) goto _L99; if (M->representation==dd_Generator) d=M->colsize+1; else d=M->colsize; fprintf(stdout, "redundant rows: "); redrows=dd_RedundantRows(M, &err); set_fwrite(stdout, redrows); M2=dd_MatrixSubmatrix(M, redrows); fprintf(stdout, "Implicit linearity (after removal of redundant rows): "); linrows=dd_ImplicitLinearityRows(M2, &err); if (M->representation==dd_Generator) fprintf(stdout," %ld ", set_card(linrows)); else fprintf(stdout," %ld ", set_card(linrows)); set_fwrite(stdout,linrows); set_uni(M2->linset, M2->linset, linrows); /* add the implicit linrows to the given linearity rows */ printf("\nNonredundant representation (except for the linearity part):\n"); dd_WriteMatrix(stdout, M2); dd_FreeMatrix(M); dd_FreeMatrix(M2); _L99:; if (err!=dd_NoError) dd_WriteErrorMessages(stderr,err); return 0; } /* end of redcheck.c */ cddlib-094g/src/redundancies_clarkson.c000066400000000000000000000064131206770251100202600ustar00rootroot00000000000000/* redcheck.c: Test program to call the cdd library cddlib written by Komei Fukuda, fukuda@ifor.math.ethz.ch Version 0.92, December 11, 2001 Standard ftp site: ftp.ifor.math.ethz.ch, Directory: pub/fukuda/cdd */ /* 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., 675 Mass Ave, Cambridge, MA 02139, USA. */ #include "setoper.h" #include "cdd.h" #include #include #include #include #include dd_boolean SetInputFile(FILE **f, dd_DataFileType fname) { dd_boolean success=dd_FALSE; success=dd_FALSE; if ( ( *f = fopen(fname, "r") )!= NULL) { printf("input file %s is open\n", fname); success=dd_TRUE; } else{ printf("The input file %s not found\n",fname); } return success; } dd_boolean SetWriteFile(FILE **f, dd_DataFileType fname) { dd_boolean success=dd_FALSE; if ( (*f = fopen(fname, "w")) != NULL){ printf("output file %s is open\n",fname); success=dd_TRUE; } else{ printf("The output file %s cannot be opened\n",fname); } return success; } int main(int argc, char *argv[]) { dd_MatrixPtr M=NULL,M2=NULL; dd_colrange d; dd_ErrorType err=dd_NoError; dd_rowset redrows,linrows; mytype val; dd_DataFileType inputfile; FILE *reading=NULL; dd_set_global_constants(); /* First, this must be called. */ dd_init(val); if (argc>1) strcpy(inputfile,argv[1]); if (argc<=1 || !SetInputFile(&reading,argv[1])){ dd_WriteProgramDescription(stdout); fprintf(stdout,"\ncddlib test program to check redundancy of an H/V-representation\nby Clarkson's algorithm."); dd_SetInputFile(&reading,inputfile, &err); } if (err==dd_NoError) { M=dd_PolyFile2Matrix(reading, &err); } else { fprintf(stderr,"Input file not found\n"); goto _L99; } if (err!=dd_NoError) goto _L99; if (M->representation==dd_Generator) d=M->colsize+1; else d=M->colsize; fprintf(stdout, "redundant rows: "); redrows=dd_RedundantRowsViaShooting(M, &err); set_fwrite(stdout, redrows); M2=dd_MatrixSubmatrix(M, redrows); fprintf(stdout, "Implicit linearity (after removal of redundant rows): "); linrows=dd_ImplicitLinearityRows(M2, &err); if (M->representation==dd_Generator) fprintf(stdout," %ld ", set_card(linrows)); else fprintf(stdout," %ld ", set_card(linrows)); set_fwrite(stdout,linrows); set_uni(M2->linset, M2->linset, linrows); /* add the implicit linrows to the given linearity rows */ printf("\nNonredundant representation (except for the linearity part):\n"); dd_WriteMatrix(stdout, M2); dd_FreeMatrix(M); dd_FreeMatrix(M2); _L99:; if (err!=dd_NoError) dd_WriteErrorMessages(stderr,err); return 0; } /* end of redcheck.c */ cddlib-094g/src/simplecdd.c000066400000000000000000000106401206770251100156610ustar00rootroot00000000000000/* simplecdd.c: Main test program to call the cdd library cddlib written by Komei Fukuda, fukuda@ifor.math.ethz.ch Version 0.94, Aug. 4, 2005 Standard ftp site: ftp.ifor.math.ethz.ch, Directory: pub/fukuda/cdd */ /* 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., 675 Mass Ave, Cambridge, MA 02139, USA. */ #include "setoper.h" #include "cdd.h" #include #include #include #include #include dd_boolean SetInputFile(FILE **f, dd_DataFileType fname) { dd_boolean success=dd_FALSE; success=dd_FALSE; if ( ( *f = fopen(fname, "r") )!= NULL) { printf("input file %s is open\n", fname); success=dd_TRUE; } else{ printf("The input file %s not found\n",fname); } return success; } dd_boolean SetWriteFile(FILE **f, dd_DataFileType fname) { dd_boolean success=dd_FALSE; if ( (*f = fopen(fname, "w")) != NULL){ printf("output file %s is open\n",fname); success=dd_TRUE; } else{ printf("The output file %s cannot be opened\n",fname); } return success; } int main(int argc, char *argv[]) { dd_PolyhedraPtr poly; dd_LPPtr lp; dd_MatrixPtr M,A; dd_ErrorType err=dd_NoError; dd_DataFileType inputfile,outputfile; FILE *reading=NULL, *writing; dd_set_global_constants(); /* First, this must be called. */ dd_log=dd_TRUE; /* output log */ if (argc>1) strcpy(inputfile,argv[1]); if (argc<=1 || !SetInputFile(&reading,argv[1])){ dd_WriteProgramDescription(stdout); dd_SetInputFile(&reading,inputfile, &err); } if (err==dd_NoError) { M=dd_PolyFile2Matrix(reading, &err); } else { printf("Input file not found\n"); goto _L99; } if (err!=dd_NoError) goto _L99; if (M->objective==dd_LPnone){ /* do representation conversion */ poly=dd_DDMatrix2Poly2(M, dd_LexMin, &err); /* equivalent to poly=dd_DDMatrix2Poly2(M, &err) when the second argument is set to dd_LexMin. */ if (err!=dd_NoError) goto _L99; dd_SetWriteFileName(inputfile, outputfile, 'o', poly->representation); SetWriteFile(&writing, outputfile); dd_WriteProgramDescription(writing); dd_WriteRunningMode(writing, poly); switch (poly->representation) { case dd_Inequality: fprintf(writing, "ext_file: Generators\n"); A=dd_CopyGenerators(poly); dd_WriteMatrix(writing,A); dd_FreeMatrix(A); break; case dd_Generator: fprintf(writing, "ine_file: Inequalities\n"); A=dd_CopyInequalities(poly); dd_WriteMatrix(writing,A); dd_FreeMatrix(A); break; default: break; } dd_WriteDDTimes(writing,poly); fclose(writing); dd_SetWriteFileName(inputfile, outputfile, 'a', poly->representation); SetWriteFile(&writing, outputfile); dd_WriteAdjacency(writing,poly); fclose(writing); dd_SetWriteFileName(inputfile, outputfile, 'j', poly->representation); SetWriteFile(&writing, outputfile); dd_WriteInputAdjacency(writing,poly); fclose(writing); dd_SetWriteFileName(inputfile, outputfile, 'i', poly->representation); SetWriteFile(&writing, outputfile); dd_WriteIncidence(writing,poly); fclose(writing); dd_SetWriteFileName(inputfile, outputfile, 'n', poly->representation); SetWriteFile(&writing, outputfile); dd_WriteInputIncidence(writing,poly); fclose(writing); dd_FreeMatrix(M); dd_FreePolyhedra(poly); } else { /* solve the LP */ lp=dd_Matrix2LP(M, &err); if (err!=dd_NoError) goto _L99; dd_LPSolve(lp,dd_DualSimplex,&err); if (err!=dd_NoError) goto _L99; dd_SetWriteFileName(inputfile, outputfile, 's', M->representation); SetWriteFile(&writing, outputfile); dd_WriteLPResult(writing, lp, err); fclose(writing); dd_FreeMatrix(M); dd_FreeLPData(lp); } _L99: if (err!=dd_NoError) dd_WriteErrorMessages(stdout,err); return 0; } /* end of simplecdd.c */ cddlib-094g/src/testcdd1.c000066400000000000000000000055021206770251100154310ustar00rootroot00000000000000/* testcdd1.c: Main test program to call the cdd library cddlib written by Komei Fukuda, fukuda@ifor.math.ethz.ch Version 0.93, July 9, 2003 Standard ftp site: ftp.ifor.math.ethz.ch, Directory: pub/fukuda/cdd */ /* 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., 675 Mass Ave, Cambridge, MA 02139, USA. */ #include "setoper.h" #include "cdd.h" #include #include #include #include #include dd_boolean SetInputFile(FILE **f, char *fname) { dd_boolean success=dd_FALSE; if ( ( *f = fopen(fname, "r") )!= NULL) { printf("input file %s is open\n", fname); success=dd_TRUE; } else{ printf("The input file %s not found\n",fname); } return success; } int main(int argc, char *argv[]) { dd_PolyhedraPtr poly; dd_MatrixPtr M; dd_ErrorType err; dd_DataFileType inputfile; FILE *reading=NULL; dd_MatrixPtr A, G; dd_SetFamilyPtr GI,GA; dd_set_global_constants(); /* First, this must be called. */ dd_SetInputFile(&reading,inputfile, &err); if (err==dd_NoError) { M=dd_PolyFile2Matrix(reading, &err); } else { printf("Input file not found\n"); goto _L99; } if (err==dd_NoError) { poly=dd_DDMatrix2Poly(M, &err); /* compute the second representation */ if (err!=dd_NoError) { dd_WriteErrorMessages(stdout,err); goto _L99; } A=dd_CopyInequalities(poly); G=dd_CopyGenerators(poly); GI=dd_CopyIncidence(poly); GA=dd_CopyAdjacency(poly); if (poly->representation==dd_Inequality) { printf("\nInput is an H-representation\n"); } else { printf("\nInput is a V-representation\n"); } dd_WriteMatrix(stdout,A); printf("\n"); dd_WriteMatrix(stdout,G); printf("\nHere is the incidence list:\n"); dd_WriteSetFamily(stdout,GI); printf("\nHere is the adjacency list:\n"); dd_WriteSetFamily(stdout,GA); dd_FreePolyhedra(poly); /* This is to remove all the space allocated for poly. */ dd_FreeMatrix(M); dd_FreeMatrix(A); dd_FreeMatrix(G); dd_FreeSetFamily(GI); dd_FreeSetFamily(GA); } else { dd_WriteErrorMessages(stdout,err); } _L99: dd_free_global_constants(); /* At the end, this must be called. */ return 0; } /* end of testcdd1.c */ cddlib-094g/src/testcdd2.c000066400000000000000000000061641206770251100154370ustar00rootroot00000000000000/* testcdd2.c: Main test program to call the cdd library cddlib written by Komei Fukuda, fukuda@ifor.math.ethz.ch Version 0.90c, June 12, 2000 Standard ftp site: ftp.ifor.math.ethz.ch, Directory: pub/fukuda/cdd */ /* 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., 675 Mass Ave, Cambridge, MA 02139, USA. */ #include "setoper.h" #include "cdd.h" #include #include #include #include #include int main(int argc, char *argv[]) { dd_PolyhedraPtr poly; dd_MatrixPtr A, B, G; dd_rowrange m; dd_colrange d; dd_ErrorType err; dd_set_global_constants(); /* First, this must be called to use cddlib. */ m=4; d=3; A=dd_CreateMatrix(m,d); dd_set_si(A->matrix[0][0],7); dd_set_si(A->matrix[0][1],-3); dd_set_si(A->matrix[0][2], 0); dd_set_si(A->matrix[1][0],7); dd_set_si(A->matrix[1][1], 0); dd_set_si(A->matrix[1][2],-3); dd_set_si(A->matrix[2][0],1); dd_set_si(A->matrix[2][1], 1); dd_set_si(A->matrix[2][2], 0); dd_set_si(A->matrix[3][0],1); dd_set_si(A->matrix[3][1], 0); dd_set_si(A->matrix[3][2], 1); /* 7 - 3 x1 >= 0 7 - 3x2 >= 0 1 + x1 >= 0 1 + x2 >= 0 */ A->representation=dd_Inequality; poly=dd_DDMatrix2Poly(A, &err); /* compute the second (generator) representation */ if (err!=dd_NoError) goto _L99; printf("\nInput is H-representation:\n"); G=dd_CopyGenerators(poly); dd_WriteMatrix(stdout,A); printf("\n"); dd_WriteMatrix(stdout,G); dd_FreeMatrix(A); dd_FreeMatrix(G); /* Add inequalities: 7 + x1 -3x2 = 0 7 - 3x1 + x2 >= 0 */ m=2; B=dd_CreateMatrix(m,d); dd_set_si(B->matrix[0][0],7); dd_set_si(B->matrix[0][1], 1); dd_set_si(B->matrix[0][2],-3); dd_set_si(B->matrix[1][0],7); dd_set_si(B->matrix[1][1],-3); dd_set_si(B->matrix[1][2], 1); set_addelem(B->linset,1); /* setting the first to be equality */ dd_DDInputAppend(&poly,B, &err); /* append the two inequalities and compute the generators */ if (err!=dd_NoError) goto _L99; A=dd_CopyInequalities(poly); /* get the inequalities (=input). */ G=dd_CopyGenerators(poly); /* get the generators (=output). */ printf("\nNew H-representation with added inequalities:\n"); dd_WriteMatrix(stdout,A); printf("\n"); dd_WriteMatrix(stdout,G); dd_FreeMatrix(A); dd_FreeMatrix(B); dd_FreeMatrix(G); dd_FreePolyhedra(poly); _L99: if (err!=dd_NoError) dd_WriteErrorMessages(stdout,err); dd_free_global_constants(); /* At the end, this must be called. */ return 0; } /* end of testcdd2.c */ cddlib-094g/src/testlp1.c000066400000000000000000000077451206770251100153250ustar00rootroot00000000000000/* testlp1.c: Main test program to call the cdd lp library written by Komei Fukuda, fukuda@ifor.math.ethz.ch Version 0.94, August 4, 2005 Standard ftp site: ftp.ifor.math.ethz.ch, Directory: pub/fukuda/cdd */ /* 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., 675 Mass Ave, Cambridge, MA 02139, USA. */ #include "setoper.h" #include "cdd.h" #include #include #include #include #include FILE *reading, *writing; int main(int argc, char *argv[]) { /* The original LP data m x n matrix = | b -A | | c0 c^T |, where the LP to be solved is to maximize c^T x + c0 subj. to A x <= b. */ dd_ErrorType error=dd_NoError; dd_MatrixPtr M,G; dd_LPSolverType solver=dd_DualSimplex; /* either DualSimplex or CrissCross */ dd_LPPtr lp; /* pointer to LP data structure that is not visible by user. */ dd_LPSolutionPtr lps1; dd_colrange j; dd_rowset ImL, Lbasis; dd_PolyhedraPtr poly; dd_DataFileType inputfile; int ans; dd_set_global_constants(); /* First, this must be called once to use cddlib. */ printf("Welcome to cddlib %s\n",dd_DDVERSION); while (error==dd_NoError) { /* Input an LP using the cdd library */ dd_SetInputFile(&reading,inputfile,&error); if (error!=dd_NoError) goto _L99; M=dd_PolyFile2Matrix(reading, &error); if (error!=dd_NoError) goto _L99; /* dd_WriteMatrix(stdout, M); */ lp=dd_Matrix2LP(M, &error); if (error!=dd_NoError) goto _L99; /* Solve the LP by cdd LP solver. */ printf("\n--- Running dd_LPSolve ---\n"); dd_LPSolve(lp,solver,&error); if (error!=dd_NoError) goto _L99; /* Write the LP solutions by cdd LP reporter. */ dd_WriteLPResult(stdout, lp, error); /* Generate all vertices of the feasible reagion */ printf("\nDo you want to compute the generator representation (y/n)? "); ans=getchar(); if (ans=='y' || ans=='Y'){ poly=dd_DDMatrix2Poly(M, &error); G=dd_CopyGenerators(poly); printf("\nGenerators (All the vertices of the feasible region if bounded.)\n"); dd_WriteMatrix(stdout,G); /* Free allocated spaces. */ dd_FreeMatrix(G); dd_FreePolyhedra(poly); } /* Find an interior point with cdd LP library. */ printf("\nDo you want to find a relative interior point (y/n)? "); ans=getchar(); ans=getchar(); if (ans=='y' || ans=='Y'){ printf("\n--- Running dd_FindRelativeInteriorPoint ---\n"); dd_FindRelativeInterior(M, &ImL, &Lbasis, &lps1, &error); if (error!=dd_NoError) goto _L99; /* Write an interior point. */ if (dd_Positive(lps1->optvalue)){ printf("A relative interior point found: ("); for (j=1; j <(lps1->d)-1; j++) { dd_WriteNumber(stdout,lps1->sol[j]); } printf(")\nThe dimension of the region = "); printf("%ld\n",M->colsize-set_card(Lbasis)-1); if (set_card(ImL)>0) { printf("Implicit equations: "); set_write(ImL); printf("\n"); } } else { printf("The feasible region is empty.\n"); } dd_FreeLPSolution(lps1); set_free(ImL); set_free(Lbasis); } /* Free allocated spaces. */ dd_FreeMatrix(M); dd_FreeLPData(lp); } _L99:; fclose(reading); if (error!=dd_NoError) dd_WriteErrorMessages(stdout, error); dd_free_global_constants(); /* At the end, this should be called. */ return 0; } /* end of testlp1.c */ cddlib-094g/src/testlp2.c000066400000000000000000000066101206770251100153140ustar00rootroot00000000000000/* testlp2.c: Main test program to call the cdd lp library written by Komei Fukuda, fukuda@ifor.math.ethz.ch Version 0.93a, July 23, 2003 Standard ftp site: ftp.ifor.math.ethz.ch, Directory: pub/fukuda/cdd */ /* 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., 675 Mass Ave, Cambridge, MA 02139, USA. */ #include "setoper.h" #include "cdd.h" #include #include #include #include #include FILE *reading, *writing; int main(int argc, char *argv[]) { /* The original LP data m x n matrix = | b -A | | c0 c^T |, where the LP to be solved is to maximize c^T x + c0 subj. to A x <= b. */ dd_ErrorType error=dd_NoError; dd_LPSolverType solver; /* either DualSimplex or CrissCross */ dd_LPPtr lp; dd_rowrange m; dd_colrange n; dd_NumberType numb; dd_MatrixPtr A; dd_ErrorType err; /* Define an LP */ /* max 0 + 3 x1 + 4 x2 s.t. 4/3 - 2 x1 - x2 >= 0 2/3 - x2 >= 0 x1 >= 0 x2 >= 0 For this LP, we set up a matrix A as 4 x 3 matrix and a row vector: 4/3 -2 -1 <- 1st constraint 2/3 0 -1 0 1 0 0 0 1 <- last constraint 0 3 4 <- objective row */ dd_set_global_constants(); numb=dd_Real; /* set a number type */ m=4; /* number of rows */ n=3; /* number of columns */ A=dd_CreateMatrix(m,n); dd_set_si2(A->matrix[0][0],4,3); dd_set_si(A->matrix[0][1],-2); dd_set_si(A->matrix[0][2],-1); dd_set_si2(A->matrix[1][0],2,3); dd_set_si(A->matrix[1][1], 0); dd_set_si(A->matrix[1][2],-1); dd_set_si(A->matrix[2][0],0); dd_set_si(A->matrix[2][1], 1); dd_set_si(A->matrix[2][2], 0); dd_set_si(A->matrix[3][0],0); dd_set_si(A->matrix[3][1], 0); dd_set_si(A->matrix[3][2], 1); dd_set_si(A->rowvec[0],0); dd_set_si(A->rowvec[1], 3); dd_set_si(A->rowvec[2], 4); A->objective=dd_LPmax; lp=dd_Matrix2LP(A, &err); /* load an LP */ if (lp==NULL) goto _L99; /* Print the LP. */ printf("\n--- LP to be solved ---\n"); dd_WriteLP(stdout, lp); /* Solve the LP by cdd LP solver. */ printf("\n--- Running dd_LPSolve ---\n"); solver=dd_DualSimplex; dd_LPSolve(lp, solver, &error); /* Solve the LP */ if (error!=dd_NoError) goto _L99; /* Write the LP solutions by cdd LP reporter. */ dd_WriteLPResult(stdout, lp, error); /* Free allocated spaces. */ dd_FreeLPData(lp); dd_FreeMatrix(A); _L99:; if (error!=dd_NoError) dd_WriteErrorMessages(stdout, error); dd_free_global_constants(); /* At the end, this should be called. */ return 0; } /* end of testlp2.c */ /* The dual LP is min 0 + 4 y1 + 2 y2 s.t. -3 + 2 y1 >= 0 -4 y1 + y2 >= 0 y1 >= 0 y2 >= 0 */ cddlib-094g/src/testlp3.c000066400000000000000000000103461206770251100153160ustar00rootroot00000000000000/* testlp3.c: Main test program to call the cdd lp library written by Komei Fukuda, fukuda@ifor.math.ethz.ch Version 0.93b, October 30, 2003 Standard ftp site: ftp.ifor.math.ethz.ch, Directory: pub/fukuda/cdd */ /* 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., 675 Mass Ave, Cambridge, MA 02139, USA. */ #include "setoper.h" #include "cdd.h" #include #include #include #include #include FILE *reading, *writing; void SetWriteFile(FILE **f) { char *fname; fname="testlp.out"; *f = fopen(fname, "w"); printf("file %s is open\n",fname); } int main(int argc, char *argv[]) { /* The original LP data m x n matrix = | b -A | | c0 c^T |, where the LP to be solved is to maximize c^T x + c0 subj. to A x <= b. */ dd_ErrorType err=dd_NoError; dd_LPSolverType solver=dd_DualSimplex; /* either DualSimplex or CrissCross */ dd_LPPtr lp,lp1; /* pointer to LP data structure that is not visible by user. */ dd_LPSolutionPtr lps,lps1; /* pointer to LP solution data that is visible by user. */ dd_MatrixPtr M; dd_colrange j; dd_DataFileType inputfile; dd_set_global_constants(); printf("\n--- Solving an LP with dd_LPSolve, and Finding an Interior Point ---\n"); /* Input an LP using the cdd library */ dd_SetInputFile(&reading,inputfile,&err); if (err!=dd_NoError) goto _L99; M=dd_PolyFile2Matrix(reading, &err); if (err!=dd_NoError) goto _L99; /* dd_WriteMatrix(stdout, M); */ lp=dd_Matrix2LP(M, &err); if (err!=dd_NoError) goto _L99; /* Solve the LP by cdd LP solver. */ printf("\n--- Running dd_LPSolve ---\n"); solver=dd_DualSimplex; dd_LPSolve(lp, solver, &err); /* Solve the LP */ if (err!=dd_NoError) goto _L99; /* Write the LP solutions by cdd LP reporter. */ /* dd_WriteLPResult(stdout, lp, err); */ /* dd_WriteLPResult(writing, lp, err); */ /* One can access the solutions by loading them. See dd_WriteLPResult for outputing the results correctly. */ lps=dd_CopyLPSolution(lp); if (lps->LPS==dd_Optimal){ printf("Optimal solution found:\n"); printf(" primal_solution\n"); for (j=1; jd; j++) { printf(" %3ld : ",j); dd_WriteNumber(stdout,lps->sol[j]); printf("\n"); } printf(" dual_solution\n"); for (j=1; jd; j++){ if (lps->nbindex[j+1]>0) { printf(" %3ld : ",lps->nbindex[j+1]); dd_WriteNumber(stdout,lps->dsol[j]); printf("\n"); } } printf(" optimal_value : "); dd_WriteNumber(stdout,lps->optvalue); printf("\n"); } /* Find an interior point with cdd LP library. */ printf("\n--- Running dd_FindInteriorPoint ---\n"); lp1=dd_MakeLPforInteriorFinding(lp); printf("The LP to be solved for finding an interior point:\n"); dd_WriteLP(stdout,lp1); dd_LPSolve(lp1,solver,&err); if (err!=dd_NoError) goto _L99; /* Write an interior point. */ lps1=dd_CopyLPSolution(lp1); if (dd_Positive(lps1->optvalue)){ printf("\nAn interior point found: ("); for (j=1; j <(lps1->d)-1; j++) { dd_WriteNumber(stdout,lps1->sol[j]); } printf(")\n"); } if (dd_Negative(lps1->optvalue)) printf("\nThe feasible region is empty.\n"); if (dd_EqualToZero(lps1->optvalue)) printf("\nThe feasible region is nonempty but has no interior point.\n"); /* Free allocated spaces. */ dd_FreeLPSolution(lps); dd_FreeLPData(lp); dd_FreeLPSolution(lps1); dd_FreeLPData(lp1); dd_FreeMatrix(M); _L99:; if (err!=dd_NoError) dd_WriteErrorMessages(stdout, err); dd_free_global_constants(); /* At the end, this should be called. */ return 0; } /* end of testlp3.c */ cddlib-094g/src/testshoot.c000066400000000000000000000107651206770251100157610ustar00rootroot00000000000000/* testshoot.c: Main test program to call the cdd lp library written by Komei Fukuda, fukuda@ifor.math.ethz.ch Version 0.92, August 24, 2001 Standard ftp site: ftp.ifor.math.ethz.ch, Directory: pub/fukuda/cdd */ /* 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., 675 Mass Ave, Cambridge, MA 02139, USA. */ #include "setoper.h" #include "cdd.h" #include #include #include #include #include FILE *reading, *writing; void SetWriteFile(FILE **f) { char *fname; fname="testlp.out"; *f = fopen(fname, "w"); printf("file %s is open\n",fname); } int main(int argc, char *argv[]) { /* The original LP data m x n matrix = | b -A | | c0 c^T |, where the LP to be solved is to maximize c^T x + c0 subj. to A x <= b. */ dd_ErrorType err=dd_NoError; dd_LPSolverType solver=dd_DualSimplex; /* either DualSimplex or CrissCross */ dd_LPPtr lp,lp1; /* pointer to LP data structure that is not visible by user. */ dd_LPSolutionPtr lps1; /* pointer to LP solution data that is visible by user. */ dd_rowrange i,m; dd_colrange d; dd_NumberType numb; dd_MatrixPtr A; dd_Arow r; dd_colrange j; int iter; /* Define an LP */ /* max 0 + x1 + x2 s.t. 1 - x2 >= 0 1 - x1 >= 0 x1 >= 0 x2 >= 0 2 - x1 - x2 >= 0 For this LP, we set up a matrix A as 4 x 3 matrix and a row vector: 1 0 -1 <- 1st constraint 1 -1 0 0 1 0 0 0 1 2 -1 -1 <- last constraint 0 1 1 <- objective row */ dd_set_global_constants(); numb=dd_Real; /* set a number type */ m=5; /* number of rows */ d=3; /* number of columns */ A=dd_CreateMatrix(m,d); dd_set_si(A->matrix[0][0],1); dd_set_si(A->matrix[0][1], 0); dd_set_si(A->matrix[0][2],-1); dd_set_si(A->matrix[1][0],1); dd_set_si(A->matrix[1][1],-1); dd_set_si(A->matrix[1][2], 0); dd_set_si(A->matrix[2][0],0); dd_set_si(A->matrix[2][1], 1); dd_set_si(A->matrix[2][2], 0); dd_set_si(A->matrix[3][0],0); dd_set_si(A->matrix[3][1], 0); dd_set_si(A->matrix[3][2], 1); dd_set_si(A->matrix[4][0],2); dd_set_si(A->matrix[4][1],-1); dd_set_si(A->matrix[4][2],-1); dd_set_si(A->rowvec[0],0); dd_set_si(A->rowvec[1], 1); dd_set_si(A->rowvec[2], 1); A->objective=dd_LPmax; lp=dd_Matrix2LP(A, &err); /* load an LP */ if (lp==NULL) goto _L99; /* Find an interior point with cdd LP library. */ printf("\n--- Running dd_FindInteriorPoint ---\n"); lp1=dd_MakeLPforInteriorFinding(lp); dd_LPSolve(lp1,solver,&err); if (err!=dd_NoError) goto _L99; /* Write an interior point. */ lps1=dd_CopyLPSolution(lp1); if (dd_Positive(lps1->optvalue)){ printf("An interior point found: ("); for (j=1; j <(lps1->d)-1; j++) { dd_WriteNumber(stdout,lps1->sol[j]); } printf(")\n"); } if (dd_Negative(lps1->optvalue)) printf("The feasible region is empty.\n"); if (dd_EqualToZero(lps1->optvalue)) printf("The feasible region is nonempty but has no interior point.\n"); /* Do shootings from the interior point. */ dd_InitializeArow(d, &r); printf("Shooting test from the point:"); dd_WriteArow(stdout,lps1->sol,d); printf("\n"); for (iter=1; iter<=3; iter++){ dd_set_si(r[0],0); dd_set_si(r[1], 9998+iter); dd_set_si(r[2], 10000); printf("Shooting to the direction:"); dd_WriteArow(stdout,r,d); printf("\n"); i=dd_RayShooting(A, lps1->sol, r); printf("The first hyperplane hit: %ld.\n\n", i); } /* Free allocated spaces. */ dd_FreeLPData(lp); dd_FreeLPSolution(lps1); dd_FreeLPData(lp1); dd_FreeArow(d, r); dd_FreeMatrix(A); _L99:; if (err!=dd_NoError) dd_WriteErrorMessages(stdout, err); dd_free_global_constants(); /* At the end, this should be called. */ return 0; } /* end of testlp3.c */ cddlib-094g/src/testuniq.c000066400000000000000000000107701206770251100155750ustar00rootroot00000000000000/* uniqtest.c: Test program to call the cdd library cddlib written by Komei Fukuda, fukuda@ifor.math.ethz.ch Version 0.93c, Nov. 14, 2003 Standard ftp site: ftp.ifor.math.ethz.ch, Directory: pub/fukuda/cdd */ /* 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., 675 Mass Ave, Cambridge, MA 02139, USA. */ #include "setoper.h" #include "cdd.h" #include #include #include #include #include dd_boolean SetInputFile(FILE **f, dd_DataFileType fname) { dd_boolean success=dd_FALSE; success=dd_FALSE; if ( ( *f = fopen(fname, "r") )!= NULL) { printf("input file %s is open\n", fname); success=dd_TRUE; } else{ printf("The input file %s not found\n",fname); } return success; } dd_boolean SetWriteFile(FILE **f, dd_DataFileType fname) { dd_boolean success=dd_FALSE; if ( (*f = fopen(fname, "w")) != NULL){ printf("output file %s is open\n",fname); success=dd_TRUE; } else{ printf("The output file %s cannot be opened\n",fname); } return success; } int main(int argc, char *argv[]) { dd_MatrixPtr M=NULL,M1=NULL,M2=NULL; dd_rowrange i; dd_colrange d; dd_ErrorType err=dd_NoError; dd_rowset redrows,linrows,posset; dd_rowindex newpos=NULL, newpos1=NULL, newpos2=NULL; mytype val; dd_DataFileType inputfile; FILE *reading=NULL; int foi; dd_Arow certificate; dd_set_global_constants(); /* First, this must be called. */ dd_init(val); if (argc>1) strcpy(inputfile,argv[1]); if (argc<=1 || !SetInputFile(&reading,argv[1])){ dd_WriteProgramDescription(stdout); fprintf(stdout,"\ncddlib test program to remove duplicates.\n"); dd_SetInputFile(&reading,inputfile, &err); } if (err==dd_NoError) { M=dd_PolyFile2Matrix(reading, &err); } else { fprintf(stderr,"Input file not found\n"); goto _L99; } if (err!=dd_NoError) goto _L99; d=M->colsize; /* printf("\nInput Matrix.\n"); dd_WriteMatrix(stdout, M); */ M1=dd_MatrixSortedUniqueCopy(M,&newpos1); printf("\nSort and remove duplicates with dd_MatrixSortedUniqueCopy.\n"); printf(" Row index changes -- original:new\n"); for (i=1;i<=M->rowsize; i++){ printf(" %ld:%ld",i,newpos1[i]); } printf("\n"); /* dd_WriteMatrix(stdout, M1); */ dd_InitializeArow(M1->colsize+2, &certificate); fprintf(stdout, "\nCheck whether the system contains an implicit linearity.\n"); foi=dd_FreeOfImplicitLinearity(M1, certificate, &posset, &err); switch (foi) { case 1: fprintf(stdout, " It is free of implicit linearity.\n"); break; case 0: fprintf(stdout, " It is not free of implicit linearity.\n"); break; case -1: fprintf(stdout, " The input system is trivial (i.e. the empty H-polytope or the V-rep of the whole space.\n"); break; } fprintf(stdout, "\nOne can then remove nontrivial redundant rows with dd_RedundantRows.\n Redundant rows:\n"); redrows=dd_RedundantRowsWithPresorting(M1, &err); /* redrows=dd_RedundantRows(M1, &err); */ set_fwrite(stdout, redrows); printf("\n"); M2=dd_MatrixSubmatrix2(M1, redrows, &newpos); dd_FreeMatrix(M1); set_free(redrows); free(newpos); fprintf(stdout, " Implicit linearity (after removal of redundant rows): "); linrows=dd_ImplicitLinearityRows(M2, &err); if (M->representation==dd_Generator) fprintf(stdout," %ld ", set_card(linrows)); else fprintf(stdout," %ld ", set_card(linrows)); set_fwrite(stdout,linrows); set_uni(M2->linset, M2->linset, linrows); /* add the implicit linrows to the given linearity rows */ printf("\nNonredundant representation (except for the linearity part):\n"); dd_WriteMatrix(stdout, M2); dd_WriteLPStats(stdout); set_free(linrows); dd_FreeMatrix(M); dd_FreeMatrix(M2); dd_clear(val); free(newpos1); free(newpos2); _L99:; /* if (err!=dd_NoError) dd_WriteErrorMessages(stderr,err); */ return 0; } /* end of uniqtest.c */