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/* 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 <stdio.h>
#include <stdlib.h>
#include <time.h>
#include <math.h>
#include <string.h>
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; j<lps->d; j++) {
printf(" %3ld : ",j);
dd_WriteNumber(stdout,lps->sol[j]);
printf("\n");
}
printf(" dual_solution\n");
for (j=1; j<lps->d; 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 */
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