lemon-project-template-glpk
view deps/glpk/src/glpnpp.h @ 11:4fc6ad2fb8a6
Test GLPK in src/main.cc
| author | Alpar Juttner <alpar@cs.elte.hu> |
|---|---|
| date | Sun, 06 Nov 2011 21:43:29 +0100 |
| parents | |
| children |
line source
1 /* glpnpp.h (LP/MIP preprocessor) */
3 /***********************************************************************
4 * This code is part of GLPK (GNU Linear Programming Kit).
5 *
6 * Copyright (C) 2000, 2001, 2002, 2003, 2004, 2005, 2006, 2007, 2008,
7 * 2009, 2010, 2011 Andrew Makhorin, Department for Applied Informatics,
8 * Moscow Aviation Institute, Moscow, Russia. All rights reserved.
9 * E-mail: <mao@gnu.org>.
10 *
11 * GLPK is free software: you can redistribute it and/or modify it
12 * under the terms of the GNU General Public License as published by
13 * the Free Software Foundation, either version 3 of the License, or
14 * (at your option) any later version.
15 *
16 * GLPK is distributed in the hope that it will be useful, but WITHOUT
17 * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
18 * or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public
19 * License for more details.
20 *
21 * You should have received a copy of the GNU General Public License
22 * along with GLPK. If not, see <http://www.gnu.org/licenses/>.
23 ***********************************************************************/
25 #ifndef GLPNPP_H
26 #define GLPNPP_H
28 #include "glpapi.h"
30 typedef struct NPP NPP;
31 typedef struct NPPROW NPPROW;
32 typedef struct NPPCOL NPPCOL;
33 typedef struct NPPAIJ NPPAIJ;
34 typedef struct NPPTSE NPPTSE;
35 typedef struct NPPLFE NPPLFE;
37 struct NPP
38 { /* LP/MIP preprocessor workspace */
39 /*--------------------------------------------------------------*/
40 /* original problem segment */
41 int orig_dir;
42 /* optimization direction flag:
43 GLP_MIN - minimization
44 GLP_MAX - maximization */
45 int orig_m;
46 /* number of rows */
47 int orig_n;
48 /* number of columns */
49 int orig_nnz;
50 /* number of non-zero constraint coefficients */
51 /*--------------------------------------------------------------*/
52 /* transformed problem segment (always minimization) */
53 DMP *pool;
54 /* memory pool to store problem components */
55 char *name;
56 /* problem name (1 to 255 chars); NULL means no name is assigned
57 to the problem */
58 char *obj;
59 /* objective function name (1 to 255 chars); NULL means no name
60 is assigned to the objective function */
61 double c0;
62 /* constant term of the objective function */
63 int nrows;
64 /* number of rows introduced into the problem; this count
65 increases by one every time a new row is added and never
66 decreases; thus, actual number of rows may be less than nrows
67 due to row deletions */
68 int ncols;
69 /* number of columns introduced into the problem; this count
70 increases by one every time a new column is added and never
71 decreases; thus, actual number of column may be less than
72 ncols due to column deletions */
73 NPPROW *r_head;
74 /* pointer to the beginning of the row list */
75 NPPROW *r_tail;
76 /* pointer to the end of the row list */
77 NPPCOL *c_head;
78 /* pointer to the beginning of the column list */
79 NPPCOL *c_tail;
80 /* pointer to the end of the column list */
81 /*--------------------------------------------------------------*/
82 /* transformation history */
83 DMP *stack;
84 /* memory pool to store transformation entries */
85 NPPTSE *top;
86 /* pointer to most recent transformation entry */
87 #if 0 /* 16/XII-2009 */
88 int count[1+25];
89 /* transformation statistics */
90 #endif
91 /*--------------------------------------------------------------*/
92 /* resultant (preprocessed) problem segment */
93 int m;
94 /* number of rows */
95 int n;
96 /* number of columns */
97 int nnz;
98 /* number of non-zero constraint coefficients */
99 int *row_ref; /* int row_ref[1+m]; */
100 /* row_ref[i], 1 <= i <= m, is the reference number assigned to
101 a row, which is i-th row of the resultant problem */
102 int *col_ref; /* int col_ref[1+n]; */
103 /* col_ref[j], 1 <= j <= n, is the reference number assigned to
104 a column, which is j-th column of the resultant problem */
105 /*--------------------------------------------------------------*/
106 /* recovered solution segment */
107 int sol;
108 /* solution indicator:
109 GLP_SOL - basic solution
110 GLP_IPT - interior-point solution
111 GLP_MIP - mixed integer solution */
112 int scaling;
113 /* scaling option:
114 GLP_OFF - scaling is disabled
115 GLP_ON - scaling is enabled */
116 int p_stat;
117 /* status of primal basic solution:
118 GLP_UNDEF - primal solution is undefined
119 GLP_FEAS - primal solution is feasible
120 GLP_INFEAS - primal solution is infeasible
121 GLP_NOFEAS - no primal feasible solution exists */
122 int d_stat;
123 /* status of dual basic solution:
124 GLP_UNDEF - dual solution is undefined
125 GLP_FEAS - dual solution is feasible
126 GLP_INFEAS - dual solution is infeasible
127 GLP_NOFEAS - no dual feasible solution exists */
128 int t_stat;
129 /* status of interior-point solution:
130 GLP_UNDEF - interior solution is undefined
131 GLP_OPT - interior solution is optimal */
132 int i_stat;
133 /* status of mixed integer solution:
134 GLP_UNDEF - integer solution is undefined
135 GLP_OPT - integer solution is optimal
136 GLP_FEAS - integer solution is feasible
137 GLP_NOFEAS - no integer solution exists */
138 char *r_stat; /* char r_stat[1+nrows]; */
139 /* r_stat[i], 1 <= i <= nrows, is status of i-th row:
140 GLP_BS - inactive constraint
141 GLP_NL - active constraint on lower bound
142 GLP_NU - active constraint on upper bound
143 GLP_NF - active free row
144 GLP_NS - active equality constraint */
145 char *c_stat; /* char c_stat[1+nrows]; */
146 /* c_stat[j], 1 <= j <= nrows, is status of j-th column:
147 GLP_BS - basic variable
148 GLP_NL - non-basic variable on lower bound
149 GLP_NU - non-basic variable on upper bound
150 GLP_NF - non-basic free variable
151 GLP_NS - non-basic fixed variable */
152 double *r_pi; /* double r_pi[1+nrows]; */
153 /* r_pi[i], 1 <= i <= nrows, is Lagrange multiplier (dual value)
154 for i-th row (constraint) */
155 double *c_value; /* double c_value[1+ncols]; */
156 /* c_value[j], 1 <= j <= ncols, is primal value of j-th column
157 (structural variable) */
158 };
160 struct NPPROW
161 { /* row (constraint) */
162 int i;
163 /* reference number assigned to the row, 1 <= i <= nrows */
164 char *name;
165 /* row name (1 to 255 chars); NULL means no name is assigned to
166 the row */
167 double lb;
168 /* lower bound; -DBL_MAX means the row has no lower bound */
169 double ub;
170 /* upper bound; +DBL_MAX means the row has no upper bound */
171 NPPAIJ *ptr;
172 /* pointer to the linked list of constraint coefficients */
173 int temp;
174 /* working field used by preprocessor routines */
175 NPPROW *prev;
176 /* pointer to previous row in the row list */
177 NPPROW *next;
178 /* pointer to next row in the row list */
179 };
181 struct NPPCOL
182 { /* column (variable) */
183 int j;
184 /* reference number assigned to the column, 1 <= j <= ncols */
185 char *name;
186 /* column name (1 to 255 chars); NULL means no name is assigned
187 to the column */
188 char is_int;
189 /* 0 means continuous variable; 1 means integer variable */
190 double lb;
191 /* lower bound; -DBL_MAX means the column has no lower bound */
192 double ub;
193 /* upper bound; +DBL_MAX means the column has no upper bound */
194 double coef;
195 /* objective coefficient */
196 NPPAIJ *ptr;
197 /* pointer to the linked list of constraint coefficients */
198 int temp;
199 /* working field used by preprocessor routines */
200 #if 1 /* 28/XII-2009 */
201 union
202 { double ll;
203 /* implied column lower bound */
204 int pos;
205 /* vertex ordinal number corresponding to this binary column
206 in the conflict graph (0, if the vertex does not exist) */
207 } ll;
208 union
209 { double uu;
210 /* implied column upper bound */
211 int neg;
212 /* vertex ordinal number corresponding to complement of this
213 binary column in the conflict graph (0, if the vertex does
214 not exist) */
215 } uu;
216 #endif
217 NPPCOL *prev;
218 /* pointer to previous column in the column list */
219 NPPCOL *next;
220 /* pointer to next column in the column list */
221 };
223 struct NPPAIJ
224 { /* constraint coefficient */
225 NPPROW *row;
226 /* pointer to corresponding row */
227 NPPCOL *col;
228 /* pointer to corresponding column */
229 double val;
230 /* (non-zero) coefficient value */
231 NPPAIJ *r_prev;
232 /* pointer to previous coefficient in the same row */
233 NPPAIJ *r_next;
234 /* pointer to next coefficient in the same row */
235 NPPAIJ *c_prev;
236 /* pointer to previous coefficient in the same column */
237 NPPAIJ *c_next;
238 /* pointer to next coefficient in the same column */
239 };
241 struct NPPTSE
242 { /* transformation stack entry */
243 int (*func)(NPP *npp, void *info);
244 /* pointer to routine performing back transformation */
245 void *info;
246 /* pointer to specific info (depends on the transformation) */
247 NPPTSE *link;
248 /* pointer to another entry created *before* this entry */
249 };
251 struct NPPLFE
252 { /* linear form element */
253 int ref;
254 /* row/column reference number */
255 double val;
256 /* (non-zero) coefficient value */
257 NPPLFE *next;
258 /* pointer to another element */
259 };
261 #define npp_create_wksp _glp_npp_create_wksp
262 NPP *npp_create_wksp(void);
263 /* create LP/MIP preprocessor workspace */
265 #define npp_insert_row _glp_npp_insert_row
266 void npp_insert_row(NPP *npp, NPPROW *row, int where);
267 /* insert row to the row list */
269 #define npp_remove_row _glp_npp_remove_row
270 void npp_remove_row(NPP *npp, NPPROW *row);
271 /* remove row from the row list */
273 #define npp_activate_row _glp_npp_activate_row
274 void npp_activate_row(NPP *npp, NPPROW *row);
275 /* make row active */
277 #define npp_deactivate_row _glp_npp_deactivate_row
278 void npp_deactivate_row(NPP *npp, NPPROW *row);
279 /* make row inactive */
281 #define npp_insert_col _glp_npp_insert_col
282 void npp_insert_col(NPP *npp, NPPCOL *col, int where);
283 /* insert column to the column list */
285 #define npp_remove_col _glp_npp_remove_col
286 void npp_remove_col(NPP *npp, NPPCOL *col);
287 /* remove column from the column list */
289 #define npp_activate_col _glp_npp_activate_col
290 void npp_activate_col(NPP *npp, NPPCOL *col);
291 /* make column active */
293 #define npp_deactivate_col _glp_npp_deactivate_col
294 void npp_deactivate_col(NPP *npp, NPPCOL *col);
295 /* make column inactive */
297 #define npp_add_row _glp_npp_add_row
298 NPPROW *npp_add_row(NPP *npp);
299 /* add new row to the current problem */
301 #define npp_add_col _glp_npp_add_col
302 NPPCOL *npp_add_col(NPP *npp);
303 /* add new column to the current problem */
305 #define npp_add_aij _glp_npp_add_aij
306 NPPAIJ *npp_add_aij(NPP *npp, NPPROW *row, NPPCOL *col, double val);
307 /* add new element to the constraint matrix */
309 #define npp_row_nnz _glp_npp_row_nnz
310 int npp_row_nnz(NPP *npp, NPPROW *row);
311 /* count number of non-zero coefficients in row */
313 #define npp_col_nnz _glp_npp_col_nnz
314 int npp_col_nnz(NPP *npp, NPPCOL *col);
315 /* count number of non-zero coefficients in column */
317 #define npp_push_tse _glp_npp_push_tse
318 void *npp_push_tse(NPP *npp, int (*func)(NPP *npp, void *info),
319 int size);
320 /* push new entry to the transformation stack */
322 #define npp_erase_row _glp_npp_erase_row
323 void npp_erase_row(NPP *npp, NPPROW *row);
324 /* erase row content to make it empty */
326 #define npp_del_row _glp_npp_del_row
327 void npp_del_row(NPP *npp, NPPROW *row);
328 /* remove row from the current problem */
330 #define npp_del_col _glp_npp_del_col
331 void npp_del_col(NPP *npp, NPPCOL *col);
332 /* remove column from the current problem */
334 #define npp_del_aij _glp_npp_del_aij
335 void npp_del_aij(NPP *npp, NPPAIJ *aij);
336 /* remove element from the constraint matrix */
338 #define npp_load_prob _glp_npp_load_prob
339 void npp_load_prob(NPP *npp, glp_prob *orig, int names, int sol,
340 int scaling);
341 /* load original problem into the preprocessor workspace */
343 #define npp_build_prob _glp_npp_build_prob
344 void npp_build_prob(NPP *npp, glp_prob *prob);
345 /* build resultant (preprocessed) problem */
347 #define npp_postprocess _glp_npp_postprocess
348 void npp_postprocess(NPP *npp, glp_prob *prob);
349 /* postprocess solution from the resultant problem */
351 #define npp_unload_sol _glp_npp_unload_sol
352 void npp_unload_sol(NPP *npp, glp_prob *orig);
353 /* store solution to the original problem */
355 #define npp_delete_wksp _glp_npp_delete_wksp
356 void npp_delete_wksp(NPP *npp);
357 /* delete LP/MIP preprocessor workspace */
359 #define npp_error()
361 #define npp_free_row _glp_npp_free_row
362 void npp_free_row(NPP *npp, NPPROW *p);
363 /* process free (unbounded) row */
365 #define npp_geq_row _glp_npp_geq_row
366 void npp_geq_row(NPP *npp, NPPROW *p);
367 /* process row of 'not less than' type */
369 #define npp_leq_row _glp_npp_leq_row
370 void npp_leq_row(NPP *npp, NPPROW *p);
371 /* process row of 'not greater than' type */
373 #define npp_free_col _glp_npp_free_col
374 void npp_free_col(NPP *npp, NPPCOL *q);
375 /* process free (unbounded) column */
377 #define npp_lbnd_col _glp_npp_lbnd_col
378 void npp_lbnd_col(NPP *npp, NPPCOL *q);
379 /* process column with (non-zero) lower bound */
381 #define npp_ubnd_col _glp_npp_ubnd_col
382 void npp_ubnd_col(NPP *npp, NPPCOL *q);
383 /* process column with upper bound */
385 #define npp_dbnd_col _glp_npp_dbnd_col
386 void npp_dbnd_col(NPP *npp, NPPCOL *q);
387 /* process non-negative column with upper bound */
389 #define npp_fixed_col _glp_npp_fixed_col
390 void npp_fixed_col(NPP *npp, NPPCOL *q);
391 /* process fixed column */
393 #define npp_make_equality _glp_npp_make_equality
394 int npp_make_equality(NPP *npp, NPPROW *p);
395 /* process row with almost identical bounds */
397 #define npp_make_fixed _glp_npp_make_fixed
398 int npp_make_fixed(NPP *npp, NPPCOL *q);
399 /* process column with almost identical bounds */
401 #define npp_empty_row _glp_npp_empty_row
402 int npp_empty_row(NPP *npp, NPPROW *p);
403 /* process empty row */
405 #define npp_empty_col _glp_npp_empty_col
406 int npp_empty_col(NPP *npp, NPPCOL *q);
407 /* process empty column */
409 #define npp_implied_value _glp_npp_implied_value
410 int npp_implied_value(NPP *npp, NPPCOL *q, double s);
411 /* process implied column value */
413 #define npp_eq_singlet _glp_npp_eq_singlet
414 int npp_eq_singlet(NPP *npp, NPPROW *p);
415 /* process row singleton (equality constraint) */
417 #define npp_implied_lower _glp_npp_implied_lower
418 int npp_implied_lower(NPP *npp, NPPCOL *q, double l);
419 /* process implied column lower bound */
421 #define npp_implied_upper _glp_npp_implied_upper
422 int npp_implied_upper(NPP *npp, NPPCOL *q, double u);
423 /* process implied upper bound of column */
425 #define npp_ineq_singlet _glp_npp_ineq_singlet
426 int npp_ineq_singlet(NPP *npp, NPPROW *p);
427 /* process row singleton (inequality constraint) */
429 #define npp_implied_slack _glp_npp_implied_slack
430 void npp_implied_slack(NPP *npp, NPPCOL *q);
431 /* process column singleton (implied slack variable) */
433 #define npp_implied_free _glp_npp_implied_free
434 int npp_implied_free(NPP *npp, NPPCOL *q);
435 /* process column singleton (implied free variable) */
437 #define npp_eq_doublet _glp_npp_eq_doublet
438 NPPCOL *npp_eq_doublet(NPP *npp, NPPROW *p);
439 /* process row doubleton (equality constraint) */
441 #define npp_forcing_row _glp_npp_forcing_row
442 int npp_forcing_row(NPP *npp, NPPROW *p, int at);
443 /* process forcing row */
445 #define npp_analyze_row _glp_npp_analyze_row
446 int npp_analyze_row(NPP *npp, NPPROW *p);
447 /* perform general row analysis */
449 #define npp_inactive_bound _glp_npp_inactive_bound
450 void npp_inactive_bound(NPP *npp, NPPROW *p, int which);
451 /* remove row lower/upper inactive bound */
453 #define npp_implied_bounds _glp_npp_implied_bounds
454 void npp_implied_bounds(NPP *npp, NPPROW *p);
455 /* determine implied column bounds */
457 #define npp_binarize_prob _glp_npp_binarize_prob
458 int npp_binarize_prob(NPP *npp);
459 /* binarize MIP problem */
461 #define npp_is_packing _glp_npp_is_packing
462 int npp_is_packing(NPP *npp, NPPROW *row);
463 /* test if constraint is packing inequality */
465 #define npp_hidden_packing _glp_npp_hidden_packing
466 int npp_hidden_packing(NPP *npp, NPPROW *row);
467 /* identify hidden packing inequality */
469 #define npp_implied_packing _glp_npp_implied_packing
470 int npp_implied_packing(NPP *npp, NPPROW *row, int which,
471 NPPCOL *var[], char set[]);
472 /* identify implied packing inequality */
474 #define npp_is_covering _glp_npp_is_covering
475 int npp_is_covering(NPP *npp, NPPROW *row);
476 /* test if constraint is covering inequality */
478 #define npp_hidden_covering _glp_npp_hidden_covering
479 int npp_hidden_covering(NPP *npp, NPPROW *row);
480 /* identify hidden covering inequality */
482 #define npp_is_partitioning _glp_npp_is_partitioning
483 int npp_is_partitioning(NPP *npp, NPPROW *row);
484 /* test if constraint is partitioning equality */
486 #define npp_reduce_ineq_coef _glp_npp_reduce_ineq_coef
487 int npp_reduce_ineq_coef(NPP *npp, NPPROW *row);
488 /* reduce inequality constraint coefficients */
490 #define npp_clean_prob _glp_npp_clean_prob
491 void npp_clean_prob(NPP *npp);
492 /* perform initial LP/MIP processing */
494 #define npp_process_row _glp_npp_process_row
495 int npp_process_row(NPP *npp, NPPROW *row, int hard);
496 /* perform basic row processing */
498 #define npp_improve_bounds _glp_npp_improve_bounds
499 int npp_improve_bounds(NPP *npp, NPPROW *row, int flag);
500 /* improve current column bounds */
502 #define npp_process_col _glp_npp_process_col
503 int npp_process_col(NPP *npp, NPPCOL *col);
504 /* perform basic column processing */
506 #define npp_process_prob _glp_npp_process_prob
507 int npp_process_prob(NPP *npp, int hard);
508 /* perform basic LP/MIP processing */
510 #define npp_simplex _glp_npp_simplex
511 int npp_simplex(NPP *npp, const glp_smcp *parm);
512 /* process LP prior to applying primal/dual simplex method */
514 #define npp_integer _glp_npp_integer
515 int npp_integer(NPP *npp, const glp_iocp *parm);
516 /* process MIP prior to applying branch-and-bound method */
518 /**********************************************************************/
520 #define npp_sat_free_row _glp_npp_sat_free_row
521 void npp_sat_free_row(NPP *npp, NPPROW *p);
522 /* process free (unbounded) row */
524 #define npp_sat_fixed_col _glp_npp_sat_fixed_col
525 int npp_sat_fixed_col(NPP *npp, NPPCOL *q);
526 /* process fixed column */
528 #define npp_sat_is_bin_comb _glp_npp_sat_is_bin_comb
529 int npp_sat_is_bin_comb(NPP *npp, NPPROW *row);
530 /* test if row is binary combination */
532 #define npp_sat_num_pos_coef _glp_npp_sat_num_pos_coef
533 int npp_sat_num_pos_coef(NPP *npp, NPPROW *row);
534 /* determine number of positive coefficients */
536 #define npp_sat_num_neg_coef _glp_npp_sat_num_neg_coef
537 int npp_sat_num_neg_coef(NPP *npp, NPPROW *row);
538 /* determine number of negative coefficients */
540 #define npp_sat_is_cover_ineq _glp_npp_sat_is_cover_ineq
541 int npp_sat_is_cover_ineq(NPP *npp, NPPROW *row);
542 /* test if row is covering inequality */
544 #define npp_sat_is_pack_ineq _glp_npp_sat_is_pack_ineq
545 int npp_sat_is_pack_ineq(NPP *npp, NPPROW *row);
546 /* test if row is packing inequality */
548 #define npp_sat_is_partn_eq _glp_npp_sat_is_partn_eq
549 int npp_sat_is_partn_eq(NPP *npp, NPPROW *row);
550 /* test if row is partitioning equality */
552 #define npp_sat_reverse_row _glp_npp_sat_reverse_row
553 int npp_sat_reverse_row(NPP *npp, NPPROW *row);
554 /* multiply both sides of row by -1 */
556 #define npp_sat_split_pack _glp_npp_sat_split_pack
557 NPPROW *npp_sat_split_pack(NPP *npp, NPPROW *row, int nnn);
558 /* split packing inequality */
560 #define npp_sat_encode_pack _glp_npp_sat_encode_pack
561 void npp_sat_encode_pack(NPP *npp, NPPROW *row);
562 /* encode packing inequality */
564 typedef struct NPPLIT NPPLIT;
565 typedef struct NPPLSE NPPLSE;
566 typedef struct NPPSED NPPSED;
568 struct NPPLIT
569 { /* literal (binary variable or its negation) */
570 NPPCOL *col;
571 /* pointer to binary variable; NULL means constant false */
572 int neg;
573 /* negation flag:
574 0 - literal is variable (or constant false)
575 1 - literal is negation of variable (or constant true) */
576 };
578 struct NPPLSE
579 { /* literal set element */
580 NPPLIT lit;
581 /* literal */
582 NPPLSE *next;
583 /* pointer to another element */
584 };
586 struct NPPSED
587 { /* summation encoding descriptor */
588 /* this struct describes the equality
589 x + y + z = s + 2 * c,
590 which was encoded as CNF and included into the transformed
591 problem; here x and y are literals, z is either a literal or
592 constant zero, s and c are binary variables modeling, resp.,
593 the low and high (carry) sum bits */
594 NPPLIT x, y, z;
595 /* literals; if z.col = NULL, z is constant zero */
596 NPPCOL *s, *c;
597 /* binary variables modeling the sum bits */
598 };
600 #define npp_sat_encode_sum2 _glp_npp_sat_encode_sum2
601 void npp_sat_encode_sum2(NPP *npp, NPPLSE *set, NPPSED *sed);
602 /* encode 2-bit summation */
604 #define npp_sat_encode_sum3 _glp_npp_sat_encode_sum3
605 void npp_sat_encode_sum3(NPP *npp, NPPLSE *set, NPPSED *sed);
606 /* encode 3-bit summation */
608 #define npp_sat_encode_sum_ax _glp_npp_sat_encode_sum_ax
609 int npp_sat_encode_sum_ax(NPP *npp, NPPROW *row, NPPLIT y[]);
610 /* encode linear combination of 0-1 variables */
612 #define npp_sat_normalize_clause _glp_npp_sat_normalize_clause
613 int npp_sat_normalize_clause(NPP *npp, int size, NPPLIT lit[]);
614 /* normalize clause */
616 #define npp_sat_encode_clause _glp_npp_sat_encode_clause
617 NPPROW *npp_sat_encode_clause(NPP *npp, int size, NPPLIT lit[]);
618 /* translate clause to cover inequality */
620 #define npp_sat_encode_geq _glp_npp_sat_encode_geq
621 int npp_sat_encode_geq(NPP *npp, int n, NPPLIT y[], int rhs);
622 /* encode "not less than" constraint */
624 #define npp_sat_encode_leq _glp_npp_sat_encode_leq
625 int npp_sat_encode_leq(NPP *npp, int n, NPPLIT y[], int rhs);
626 /* encode "not greater than" constraint */
628 #define npp_sat_encode_row _glp_npp_sat_encode_row
629 int npp_sat_encode_row(NPP *npp, NPPROW *row);
630 /* encode constraint (row) of general type */
632 #define npp_sat_encode_prob _glp_npp_sat_encode_prob
633 int npp_sat_encode_prob(NPP *npp);
634 /* encode 0-1 feasibility problem */
636 #endif
638 /* eof */