The source code and dockerfile for the GSW2024 AI Lab.
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/* lpxsamp.c */
#include <stdio.h>
#include <stdlib.h>
#include "lpx.h"
int main(void)
{ LPX *lp;
int ia[1+1000], ja[1+1000];
double ar[1+1000], Z, x1, x2, x3;
s1: lp = lpx_create_prob();
s2: lpx_set_prob_name(lp, "sample");
s3: lpx_set_obj_dir(lp, LPX_MAX);
s4: lpx_add_rows(lp, 3);
s5: lpx_set_row_name(lp, 1, "p");
s6: lpx_set_row_bnds(lp, 1, LPX_UP, 0.0, 100.0);
s7: lpx_set_row_name(lp, 2, "q");
s8: lpx_set_row_bnds(lp, 2, LPX_UP, 0.0, 600.0);
s9: lpx_set_row_name(lp, 3, "r");
s10: lpx_set_row_bnds(lp, 3, LPX_UP, 0.0, 300.0);
s11: lpx_add_cols(lp, 3);
s12: lpx_set_col_name(lp, 1, "x1");
s13: lpx_set_col_bnds(lp, 1, LPX_LO, 0.0, 0.0);
s14: lpx_set_obj_coef(lp, 1, 10.0);
s15: lpx_set_col_name(lp, 2, "x2");
s16: lpx_set_col_bnds(lp, 2, LPX_LO, 0.0, 0.0);
s17: lpx_set_obj_coef(lp, 2, 6.0);
s18: lpx_set_col_name(lp, 3, "x3");
s19: lpx_set_col_bnds(lp, 3, LPX_LO, 0.0, 0.0);
s20: lpx_set_obj_coef(lp, 3, 4.0);
s21: ia[1] = 1, ja[1] = 1, ar[1] = 1.0; /* a[1,1] = 1 */
s22: ia[2] = 1, ja[2] = 2, ar[2] = 1.0; /* a[1,2] = 1 */
s23: ia[3] = 1, ja[3] = 3, ar[3] = 1.0; /* a[1,3] = 1 */
s24: ia[4] = 2, ja[4] = 1, ar[4] = 10.0; /* a[2,1] = 10 */
s25: ia[5] = 3, ja[5] = 1, ar[5] = 2.0; /* a[3,1] = 2 */
s26: ia[6] = 2, ja[6] = 2, ar[6] = 4.0; /* a[2,2] = 4 */
s27: ia[7] = 3, ja[7] = 2, ar[7] = 2.0; /* a[3,2] = 2 */
s28: ia[8] = 2, ja[8] = 3, ar[8] = 5.0; /* a[2,3] = 5 */
s29: ia[9] = 3, ja[9] = 3, ar[9] = 6.0; /* a[3,3] = 6 */
s30: lpx_load_matrix(lp, 9, ia, ja, ar);
s31: lpx_simplex(lp);
s32: Z = lpx_get_obj_val(lp);
s33: x1 = lpx_get_col_prim(lp, 1);
s34: x2 = lpx_get_col_prim(lp, 2);
s35: x3 = lpx_get_col_prim(lp, 3);
s36: printf("\nZ = %g; x1 = %g; x2 = %g; x3 = %g\n", Z, x1, x2, x3);
s37: lpx_delete_prob(lp);
return 0;
}
/* eof */