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Diffstat (limited to 'sci-libs/cddlib/files/cdd_both_reps.c')
-rw-r--r--sci-libs/cddlib/files/cdd_both_reps.c255
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diff --git a/sci-libs/cddlib/files/cdd_both_reps.c b/sci-libs/cddlib/files/cdd_both_reps.c
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+/* cdd_both_reps.c: compute reduced H and V representation of polytope
+ by Volker Braun <vbraun@stp.dias.ie>
+
+ The input is taken from stdin and can be either a
+ H or V representation, not necessarily reduced.
+
+ based on testcdd1.c, redcheck.c, and of course the cdd library
+ written by Komei Fukuda, fukuda@ifor.math.ethz.ch
+ 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 <stdio.h>
+#include <stdlib.h>
+#include <time.h>
+#include <math.h>
+#include <string.h>
+
+
+
+
+
+void compute_adjacency(dd_MatrixPtr Rep, dd_ErrorType* err_ptr)
+{
+ dd_SetFamilyPtr AdjacencyGraph;
+ if (*err_ptr != dd_NoError) return;
+
+ switch (Rep->representation) {
+ case dd_Inequality:
+ printf("Facet graph\n");
+ break;
+ case dd_Generator:
+ printf("Vertex graph\n");
+ break;
+ case dd_Unspecified:
+ printf("unknown representation type!\n");
+ default:
+ printf("This should be unreachable!\n");
+ exit(2);
+ }
+
+ /* Output adjacency of vertices/rays/lines */
+ if (Rep->rowsize > 0) { /* workaround for bug with empty polyhedron */
+ /* compute adjacent vertices/rays/lines */
+ AdjacencyGraph = dd_Matrix2Adjacency(Rep, err_ptr);
+ if (*err_ptr == dd_NoError) {
+ dd_WriteSetFamily(stdout,AdjacencyGraph);
+ dd_FreeSetFamily(AdjacencyGraph);
+ }
+ } else {
+ printf("begin\n");
+ printf(" 0 0\n");
+ printf("end\n");
+ }
+
+ printf("\n");
+}
+
+
+void minimal_Vrep_Hrep(dd_MatrixPtr M,
+ dd_MatrixPtr* Vrep_ptr, dd_MatrixPtr* Hrep_ptr,
+ dd_ErrorType* err_ptr)
+{
+ dd_PolyhedraPtr poly;
+ dd_rowindex newpos;
+ dd_rowset impl_linset,redset;
+ dd_MatrixPtr Vrep, Hrep;
+
+ if (*err_ptr != dd_NoError) return;
+
+ /* compute the second representation */
+ poly = dd_DDMatrix2Poly(M, err_ptr);
+ if (*err_ptr != dd_NoError) return;
+
+ if (*err_ptr == dd_NoError) {
+ /* compute canonical H-representation */
+ Hrep = dd_CopyInequalities(poly);
+ if (Hrep->rowsize > 0) { /* workaround for bug with empty matrix */
+ dd_MatrixCanonicalize(&Hrep, &impl_linset, &redset, &newpos, err_ptr);
+ if (*err_ptr == dd_NoError) {
+ set_free(redset);
+ set_free(impl_linset);
+ free(newpos);
+ }
+ }
+ if (*err_ptr == dd_NoError) (*Hrep_ptr) = Hrep;
+ }
+
+ if (*err_ptr == dd_NoError) {
+ /* compute canonical V-representation */
+ Vrep = dd_CopyGenerators(poly);
+ if (Vrep->rowsize > 0) { /* workaround for bug with empty matrix */
+ dd_MatrixCanonicalize(&Vrep, &impl_linset, &redset, &newpos, err_ptr);
+ if (*err_ptr == dd_NoError) {
+ set_free(redset);
+ set_free(impl_linset);
+ free(newpos);
+ }
+ }
+ if (*err_ptr == dd_NoError) (*Vrep_ptr) = Vrep;
+ }
+
+ dd_FreePolyhedra(poly);
+}
+
+
+void print_both_reps(dd_MatrixPtr Vrep, dd_MatrixPtr Hrep)
+{
+ /* Output V-representation */
+ dd_WriteMatrix(stdout,Vrep);
+ printf("\n");
+
+ /* Output H-representation */
+ dd_WriteMatrix(stdout,Hrep);
+ printf("\n");
+}
+
+
+void compute_both_reps(dd_MatrixPtr M, dd_ErrorType* err_ptr)
+{
+ dd_MatrixPtr Vrep, Hrep;
+ minimal_Vrep_Hrep(M, &Vrep, &Hrep, err_ptr);
+ if (*err_ptr != dd_NoError) return;
+
+ print_both_reps(Vrep, Hrep);
+ dd_FreeMatrix(Hrep);
+ dd_FreeMatrix(Vrep);
+}
+
+
+void compute_all(dd_MatrixPtr M, dd_ErrorType* err_ptr)
+{
+ dd_MatrixPtr Vrep, Hrep;
+ minimal_Vrep_Hrep(M, &Vrep, &Hrep, err_ptr);
+ if (*err_ptr != dd_NoError) return;
+
+ print_both_reps(Vrep, Hrep);
+ compute_adjacency(Vrep, err_ptr);
+ compute_adjacency(Hrep, err_ptr);
+ dd_FreeMatrix(Hrep);
+ dd_FreeMatrix(Vrep);
+}
+
+
+
+void usage(char *name)
+{
+ printf("No known option specified, I don't know what to do!\n"
+ "Usage:\n"
+ "%s --option\n"
+ "where --option is precisely one of the following:\n\n"
+ " --all: Compute everything.\n"
+ " This will compute minimal H-,V-representation and vertex and facet graph.\n"
+ "\n"
+ " --reps: Compute both a minimal H- and minimal V-representation.\n"
+ "\n"
+ " --adjacency: Compute adjacency information only.\n"
+ " The input is assumed to be a minimal representation, as, for example, computed\n"
+ " by --reps. Warning, you will not get the correct answer if the input\n"
+ " representation is not minimal! The output is the vertex or facet graph,\n"
+ " depending on the input.\n"
+ "\n"
+ "The input data is a H- or V-representation in cdd's ine/ext format and\n"
+ "is in each case read from stdin.\n",
+ name);
+}
+
+
+enum command_line_arguments { ALL, REPS, ADJACENCY };
+
+
+int parse_arguments(char* arg, enum command_line_arguments* option)
+{
+ if (strcmp(arg,"--all")==0) {
+ *option = ALL;
+ return 0;
+ }
+ if (strcmp(arg,"--reps")==0) {
+ *option = REPS;
+ return 0;
+ }
+ if (strcmp(arg,"--adjacency")==0) {
+ *option = ADJACENCY;
+ return 0;
+ }
+ printf("Unknown option: %s\n", arg);
+ return 1;
+}
+
+
+int main(int argc, char *argv[])
+{
+ dd_ErrorType err=dd_NoError;
+ dd_MatrixPtr M;
+ enum command_line_arguments option;
+
+ if (argc!=2 || parse_arguments(argv[1],&option)) {
+ usage(argv[0]);
+ return 0;
+ }
+
+ dd_set_global_constants();
+
+ /* Read data from stdin */
+ M = dd_PolyFile2Matrix(stdin, &err);
+ if (err != dd_NoError) {
+ printf("I was unable to parse the input data!\n");
+ dd_WriteErrorMessages(stdout,err);
+ dd_free_global_constants();
+ return 1;
+ }
+
+ switch (option) {
+ case ALL:
+ compute_all(M,&err);
+ break;
+ case REPS:
+ compute_both_reps(M,&err);
+ break;
+ case ADJACENCY:
+ compute_adjacency(M,&err);
+ break;
+ default:
+ printf("unreachable option %d\n", option);
+ exit(3); /* unreachable */
+ }
+
+ /* cleanup */
+ dd_FreeMatrix(M);
+ if (err != dd_NoError) {
+ dd_WriteErrorMessages(stdout,err);
+ }
+
+ dd_free_global_constants();
+ return 0;
+}
+
+
+