| libcdd, cdd & cdd+ HISTORY file (as of April 30, 2015) |
| |
| *** libcdd version (date) / changes *** |
| |
| Version 094h (April 30, 2015) / |
| - Thanks to Mathieu Dutour, one minor bug has been fixed. |
| |
| 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 --- |
| |