Scippy

SCIP

Solving Constraint Integer Programs

cons_linear.h
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1/* * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * */
2/* */
3/* This file is part of the program and library */
4/* SCIP --- Solving Constraint Integer Programs */
5/* */
6/* Copyright (c) 2002-2024 Zuse Institute Berlin (ZIB) */
7/* */
8/* Licensed under the Apache License, Version 2.0 (the "License"); */
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10/* You may obtain a copy of the License at */
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23/* * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * */
24
25/**@file cons_linear.h
26 * @ingroup CONSHDLRS
27 * @brief Constraint handler for linear constraints in their most general form, \f$lhs <= a^T x <= rhs\f$.
28 * @author Tobias Achterberg
29 * @author Timo Berthold
30 * @author Marc Pfetsch
31 * @author Kati Wolter
32 *
33 */
34
35/*---+----1----+----2----+----3----+----4----+----5----+----6----+----7----+----8----+----9----+----0----+----1----+----2*/
36
37#ifndef __SCIP_CONS_LINEAR_H__
38#define __SCIP_CONS_LINEAR_H__
39
40#include "scip/def.h"
41#include "scip/type_cons.h"
42#include "scip/type_lp.h"
43#include "scip/type_misc.h"
44#include "scip/type_retcode.h"
45#include "scip/type_scip.h"
46#include "scip/type_sol.h"
47#include "scip/type_var.h"
48
49#ifdef __cplusplus
50extern "C" {
51#endif
52
53
54
55/*
56 * constraint specific interface methods
57 */
58
59/** creates the handler for linear constraints and includes it in SCIP
60 *
61 * @ingroup ConshdlrIncludes
62 * */
63SCIP_EXPORT
65 SCIP* scip /**< SCIP data structure */
66 );
67
68/**@addtogroup CONSHDLRS
69 *
70 * @{
71 *
72 * @name Linear Constraints
73 *
74 * This constraint handler handles linear constraints in their most general form. That is,
75 * \f[
76 * lhs \leq \sum_{i=1}^n a_i x_i \leq rhs
77 * \f]
78 * with \f$a_i \in Q, i = 1,\dots,n\f$, \f$lhs\in Q \cup \{-\infty\}\f$, \f$rhs\in Q \cup \{\infty\}\f$,
79 * and decision variables \f$x_i, i = 1,\dots,n\f$ which can be binary, integer, or continuous.
80 *
81 * Furthermore, this header offers the upgrade functionality of a general linear constraint into a more specific
82 * constraint, such as a knapsack constraint, via SCIP_DECL_LINCONSUPGD() and SCIPincludeLinconsUpgrade()
83 *
84 * @{
85 */
86
87typedef struct SCIP_LinConsUpgrade SCIP_LINCONSUPGRADE; /**< linear constraint update method */
88
89/** upgrading method for linear constraints into more specific constraints
90 *
91 * input:
92 * - scip : SCIP main data structure
93 * - cons : the linear constraint to upgrade
94 * - nvars : number of variables in the constraint
95 * - vars : array with constraint variables
96 * - vals : array with constraint coefficients
97 * - lhs : left hand side of linear constraint
98 * - rhs : right hand side of linear constraint
99 * - nposbin : number of binary variables with positive coefficient
100 * - nnegbin : number of binary variables with negative coefficient
101 * - nposint : number of integer variables with positive coefficient
102 * - nnegint : number of integer variables with negative coefficient
103 * - nposimpl : number of implicit integer variables with positive coefficient (including implicit binary variables)
104 * - nnegimpl : number of implicit integer variables with negative coefficient (including implicit binary variables)
105 * - nposimplbin : number of implicit binary variables with positive coefficient
106 * - nnegimplbin : number of implicit binary variables with negative coefficient
107 * - nposcont : number of continuous variables with positive coefficient
108 * - nnegcont : number of continuous variables with negative coefficient
109 * - ncoeffspone : number of +1 coefficients
110 * - ncoeffsnone : number of -1 coefficients
111 * - ncoeffspint : number of positive integral coefficients other than +1
112 * - ncoeffsnint : number of negative integral coefficients other than -1
113 * - ncoeffspfrac : number of positive fractional coefficients
114 * - ncoeffsnfrac : number of negative fractional coefficients
115 * - poscoeffsum : sum of all positive coefficients
116 * - negcoeffsum : sum of all negative coefficients
117 * - integral : TRUE iff constraints activity value is always integral
118 * - upgdcons : pointer to store the upgraded constraint
119 */
120#define SCIP_DECL_LINCONSUPGD(x) SCIP_RETCODE x (SCIP* scip, SCIP_CONS* cons, int nvars, SCIP_VAR** vars, SCIP_Real* vals, SCIP_Real lhs, SCIP_Real rhs, \
121 int nposbin, int nnegbin, int nposint, int nnegint, int nposimpl, int nnegimpl, int nposimplbin, int nnegimplbin, int nposcont, int nnegcont, \
122 int ncoeffspone, int ncoeffsnone, int ncoeffspint, int ncoeffsnint, int ncoeffspfrac, int ncoeffsnfrac, \
123 SCIP_Real poscoeffsum, SCIP_Real negcoeffsum, SCIP_Bool integral, SCIP_CONS** upgdcons)
124
125/** includes a linear constraint update method into the linear constraint handler */
126SCIP_EXPORT
128 SCIP* scip, /**< SCIP data structure */
129 SCIP_DECL_LINCONSUPGD((*linconsupgd)), /**< method to call for upgrading linear constraint */
130 int priority, /**< priority of upgrading method */
131 const char* conshdlrname /**< name of the constraint handler */
132 );
133
134/** creates and captures a linear constraint
135 *
136 * @note the constraint gets captured, hence at one point you have to release it using the method SCIPreleaseCons()
137 */
138SCIP_EXPORT
140 SCIP* scip, /**< SCIP data structure */
141 SCIP_CONS** cons, /**< pointer to hold the created constraint */
142 const char* name, /**< name of constraint */
143 int nvars, /**< number of nonzeros in the constraint */
144 SCIP_VAR** vars, /**< array with variables of constraint entries */
145 SCIP_Real* vals, /**< array with coefficients of constraint entries */
146 SCIP_Real lhs, /**< left hand side of constraint */
147 SCIP_Real rhs, /**< right hand side of constraint */
148 SCIP_Bool initial, /**< should the LP relaxation of constraint be in the initial LP?
149 * Usually set to TRUE. Set to FALSE for 'lazy constraints'. */
150 SCIP_Bool separate, /**< should the constraint be separated during LP processing?
151 * Usually set to TRUE. */
152 SCIP_Bool enforce, /**< should the constraint be enforced during node processing?
153 * TRUE for model constraints, FALSE for additional, redundant constraints. */
154 SCIP_Bool check, /**< should the constraint be checked for feasibility?
155 * TRUE for model constraints, FALSE for additional, redundant constraints. */
156 SCIP_Bool propagate, /**< should the constraint be propagated during node processing?
157 * Usually set to TRUE. */
158 SCIP_Bool local, /**< is constraint only valid locally?
159 * Usually set to FALSE. Has to be set to TRUE, e.g., for branching constraints. */
160 SCIP_Bool modifiable, /**< is constraint modifiable (subject to column generation)?
161 * Usually set to FALSE. In column generation applications, set to TRUE if pricing
162 * adds coefficients to this constraint. */
163 SCIP_Bool dynamic, /**< is constraint subject to aging?
164 * Usually set to FALSE. Set to TRUE for own cuts which
165 * are separated as constraints. */
166 SCIP_Bool removable, /**< should the relaxation be removed from the LP due to aging or cleanup?
167 * Usually set to FALSE. Set to TRUE for 'lazy constraints' and 'user cuts'. */
168 SCIP_Bool stickingatnode /**< should the constraint always be kept at the node where it was added, even
169 * if it may be moved to a more global node?
170 * Usually set to FALSE. Set to TRUE to for constraints that represent node data. */
171 );
172
173/** creates and captures a linear constraint
174 * in its most basic version, i. e., all constraint flags are set to their basic value as explained for the
175 * method SCIPcreateConsLinear(); all flags can be set via SCIPsetConsFLAGNAME-methods in scip.h
176 *
177 * @see SCIPcreateConsLinear() for information about the basic constraint flag configuration
178 *
179 * @note the constraint gets captured, hence at one point you have to release it using the method SCIPreleaseCons()
180 */
181SCIP_EXPORT
183 SCIP* scip, /**< SCIP data structure */
184 SCIP_CONS** cons, /**< pointer to hold the created constraint */
185 const char* name, /**< name of constraint */
186 int nvars, /**< number of nonzeros in the constraint */
187 SCIP_VAR** vars, /**< array with variables of constraint entries */
188 SCIP_Real* vals, /**< array with coefficients of constraint entries */
189 SCIP_Real lhs, /**< left hand side of constraint */
190 SCIP_Real rhs /**< right hand side of constraint */
191 );
192
193/** creates by copying and captures a linear constraint */
194SCIP_EXPORT
196 SCIP* scip, /**< target SCIP data structure */
197 SCIP_CONS** cons, /**< pointer to store the created target constraint */
198 SCIP* sourcescip, /**< source SCIP data structure */
199 const char* name, /**< name of constraint */
200 int nvars, /**< number of variables in source variable array */
201 SCIP_VAR** sourcevars, /**< source variables of the linear constraints */
202 SCIP_Real* sourcecoefs, /**< coefficient array of the linear constraint, or NULL if all coefficients are one */
203 SCIP_Real lhs, /**< left hand side of the linear constraint */
204 SCIP_Real rhs, /**< right hand side of the linear constraint */
205 SCIP_HASHMAP* varmap, /**< a SCIP_HASHMAP mapping variables of the source SCIP to corresponding
206 * variables of the target SCIP */
207 SCIP_HASHMAP* consmap, /**< a hashmap to store the mapping of source constraints to the corresponding
208 * target constraints */
209 SCIP_Bool initial, /**< should the LP relaxation of constraint be in the initial LP? */
210 SCIP_Bool separate, /**< should the constraint be separated during LP processing? */
211 SCIP_Bool enforce, /**< should the constraint be enforced during node processing? */
212 SCIP_Bool check, /**< should the constraint be checked for feasibility? */
213 SCIP_Bool propagate, /**< should the constraint be propagated during node processing? */
214 SCIP_Bool local, /**< is constraint only valid locally? */
215 SCIP_Bool modifiable, /**< is constraint modifiable (subject to column generation)? */
216 SCIP_Bool dynamic, /**< is constraint subject to aging? */
217 SCIP_Bool removable, /**< should the relaxation be removed from the LP due to aging or cleanup? */
218 SCIP_Bool stickingatnode, /**< should the constraint always be kept at the node where it was added, even
219 * if it may be moved to a more global node? */
220 SCIP_Bool global, /**< create a global or a local copy? */
221 SCIP_Bool* valid /**< pointer to store if the copying was valid */
222 );
223
224/** adds coefficient to linear constraint (if it is not zero) */
225SCIP_EXPORT
227 SCIP* scip, /**< SCIP data structure */
228 SCIP_CONS* cons, /**< constraint data */
229 SCIP_VAR* var, /**< variable of constraint entry */
230 SCIP_Real val /**< coefficient of constraint entry */
231 );
232
233/** changes coefficient of variable in linear constraint; deletes the variable if coefficient is zero; adds variable if
234 * not yet contained in the constraint
235 *
236 * @note This method may only be called during problem creation stage for an original constraint and variable.
237 *
238 * @note This method requires linear time to search for occurences of the variable in the constraint data.
239 */
240SCIP_EXPORT
242 SCIP* scip, /**< SCIP data structure */
243 SCIP_CONS* cons, /**< constraint data */
244 SCIP_VAR* var, /**< variable of constraint entry */
245 SCIP_Real val /**< new coefficient of constraint entry */
246 );
247
248/** deletes variable from linear constraint
249 *
250 * @note This method may only be called during problem creation stage for an original constraint and variable.
251 *
252 * @note This method requires linear time to search for occurences of the variable in the constraint data.
253 */
254SCIP_EXPORT
256 SCIP* scip, /**< SCIP data structure */
257 SCIP_CONS* cons, /**< constraint data */
258 SCIP_VAR* var /**< variable of constraint entry */
259 );
260
261/** gets left hand side of linear constraint */
262SCIP_EXPORT
264 SCIP* scip, /**< SCIP data structure */
265 SCIP_CONS* cons /**< constraint data */
266 );
267
268/** gets right hand side of linear constraint */
269SCIP_EXPORT
271 SCIP* scip, /**< SCIP data structure */
272 SCIP_CONS* cons /**< constraint data */
273 );
274
275/** changes left hand side of linear constraint */
276SCIP_EXPORT
278 SCIP* scip, /**< SCIP data structure */
279 SCIP_CONS* cons, /**< constraint data */
280 SCIP_Real lhs /**< new left hand side */
281 );
282
283/** changes right hand side of linear constraint */
284SCIP_EXPORT
286 SCIP* scip, /**< SCIP data structure */
287 SCIP_CONS* cons, /**< constraint data */
288 SCIP_Real rhs /**< new right hand side */
289 );
290
291/** gets the number of variables in the linear constraint */
292SCIP_EXPORT
294 SCIP* scip, /**< SCIP data structure */
295 SCIP_CONS* cons /**< constraint data */
296 );
297
298/** gets the array of variables in the linear constraint; the user must not modify this array! */
299SCIP_EXPORT
301 SCIP* scip, /**< SCIP data structure */
302 SCIP_CONS* cons /**< constraint data */
303 );
304
305/** gets the array of coefficient values in the linear constraint; the user must not modify this array! */
306SCIP_EXPORT
308 SCIP* scip, /**< SCIP data structure */
309 SCIP_CONS* cons /**< constraint data */
310 );
311
312/** gets the activity of the linear constraint in the given solution
313 *
314 * @note if the solution contains values at infinity, this method will return SCIP_INVALID in case the activity
315 * comprises positive and negative infinity contributions
316 */
317SCIP_EXPORT
319 SCIP* scip, /**< SCIP data structure */
320 SCIP_CONS* cons, /**< constraint data */
321 SCIP_SOL* sol /**< solution, or NULL to use current node's solution */
322 );
323
324/** gets the feasibility of the linear constraint in the given solution */
325SCIP_EXPORT
327 SCIP* scip, /**< SCIP data structure */
328 SCIP_CONS* cons, /**< constraint data */
329 SCIP_SOL* sol /**< solution, or NULL to use current node's solution */
330 );
331
332/** gets the dual solution of the linear constraint in the current LP */
333SCIP_EXPORT
335 SCIP* scip, /**< SCIP data structure */
336 SCIP_CONS* cons /**< constraint data */
337 );
338
339/** gets the dual Farkas value of the linear constraint in the current infeasible LP */
340SCIP_EXPORT
342 SCIP* scip, /**< SCIP data structure */
343 SCIP_CONS* cons /**< constraint data */
344 );
345
346/** returns the linear relaxation of the given linear constraint; may return NULL if no LP row was yet created;
347 * the user must not modify the row!
348 */
349SCIP_EXPORT
351 SCIP* scip, /**< SCIP data structure */
352 SCIP_CONS* cons /**< constraint data */
353 );
354
355/** tries to automatically convert a linear constraint into a more specific and more specialized constraint */
356SCIP_EXPORT
358 SCIP* scip, /**< SCIP data structure */
359 SCIP_CONS* cons, /**< source constraint to try to convert */
360 SCIP_CONS** upgdcons /**< pointer to store upgraded constraint, or NULL if not successful */
361 );
362
363/** performs linear constraint type classification as used for MIPLIB
364 *
365 * iterates through all linear constraints and stores relevant statistics in the linear constraint statistics \p linconsstats.
366 *
367 * @note only constraints are iterated that belong to the linear constraint handler. If the problem has been presolved already,
368 * constraints that were upgraded to more special types such as, e.g., varbound constraints, will not be shown correctly anymore.
369 * Similarly, if specialized constraints were created through the API, these are currently not present.
370 */
371SCIP_EXPORT
373 SCIP* scip, /**< SCIP data structure */
374 SCIP_LINCONSSTATS* linconsstats /**< linear constraint type classification */
375 );
376
377
378/** cleans up (multi-)aggregations and fixings from linear constraints */
379SCIP_EXPORT
381 SCIP* scip, /**< SCIP data structure */
382 SCIP_Bool onlychecked, /**< should only checked constraints be cleaned up? */
383 SCIP_Bool* infeasible /**< pointer to return whether the problem was detected to be infeasible */
384 );
385
386/** @} */
387
388/** @} */
389
390#ifdef __cplusplus
391}
392#endif
393
394#endif
common defines and data types used in all packages of SCIP
#define SCIP_Bool
Definition: def.h:91
#define SCIP_Real
Definition: def.h:172
SCIP_Real SCIPgetDualsolLinear(SCIP *scip, SCIP_CONS *cons)
SCIP_RETCODE SCIPincludeLinconsUpgrade(SCIP *scip, SCIP_DECL_LINCONSUPGD((*linconsupgd)), int priority, const char *conshdlrname)
SCIP_Real SCIPgetRhsLinear(SCIP *scip, SCIP_CONS *cons)
SCIP_RETCODE SCIPupgradeConsLinear(SCIP *scip, SCIP_CONS *cons, SCIP_CONS **upgdcons)
SCIP_VAR ** SCIPgetVarsLinear(SCIP *scip, SCIP_CONS *cons)
SCIP_RETCODE SCIPchgRhsLinear(SCIP *scip, SCIP_CONS *cons, SCIP_Real rhs)
SCIP_RETCODE SCIPaddCoefLinear(SCIP *scip, SCIP_CONS *cons, SCIP_VAR *var, SCIP_Real val)
SCIP_Real SCIPgetLhsLinear(SCIP *scip, SCIP_CONS *cons)
int SCIPgetNVarsLinear(SCIP *scip, SCIP_CONS *cons)
SCIP_Real * SCIPgetValsLinear(SCIP *scip, SCIP_CONS *cons)
SCIP_ROW * SCIPgetRowLinear(SCIP *scip, SCIP_CONS *cons)
SCIP_RETCODE SCIPcreateConsBasicLinear(SCIP *scip, SCIP_CONS **cons, const char *name, int nvars, SCIP_VAR **vars, SCIP_Real *vals, SCIP_Real lhs, SCIP_Real rhs)
SCIP_Real SCIPgetDualfarkasLinear(SCIP *scip, SCIP_CONS *cons)
#define SCIP_DECL_LINCONSUPGD(x)
Definition: cons_linear.h:120
SCIP_RETCODE SCIPcopyConsLinear(SCIP *scip, SCIP_CONS **cons, SCIP *sourcescip, const char *name, int nvars, SCIP_VAR **sourcevars, SCIP_Real *sourcecoefs, SCIP_Real lhs, SCIP_Real rhs, SCIP_HASHMAP *varmap, SCIP_HASHMAP *consmap, SCIP_Bool initial, SCIP_Bool separate, SCIP_Bool enforce, SCIP_Bool check, SCIP_Bool propagate, SCIP_Bool local, SCIP_Bool modifiable, SCIP_Bool dynamic, SCIP_Bool removable, SCIP_Bool stickingatnode, SCIP_Bool global, SCIP_Bool *valid)
SCIP_RETCODE SCIPcleanupConssLinear(SCIP *scip, SCIP_Bool onlychecked, SCIP_Bool *infeasible)
SCIP_RETCODE SCIPcreateConsLinear(SCIP *scip, SCIP_CONS **cons, const char *name, int nvars, SCIP_VAR **vars, SCIP_Real *vals, SCIP_Real lhs, SCIP_Real rhs, SCIP_Bool initial, SCIP_Bool separate, SCIP_Bool enforce, SCIP_Bool check, SCIP_Bool propagate, SCIP_Bool local, SCIP_Bool modifiable, SCIP_Bool dynamic, SCIP_Bool removable, SCIP_Bool stickingatnode)
SCIP_Real SCIPgetActivityLinear(SCIP *scip, SCIP_CONS *cons, SCIP_SOL *sol)
SCIP_Real SCIPgetFeasibilityLinear(SCIP *scip, SCIP_CONS *cons, SCIP_SOL *sol)
SCIP_RETCODE SCIPclassifyConstraintTypesLinear(SCIP *scip, SCIP_LINCONSSTATS *linconsstats)
SCIP_RETCODE SCIPchgLhsLinear(SCIP *scip, SCIP_CONS *cons, SCIP_Real lhs)
SCIP_RETCODE SCIPchgCoefLinear(SCIP *scip, SCIP_CONS *cons, SCIP_VAR *var, SCIP_Real val)
SCIP_RETCODE SCIPdelCoefLinear(SCIP *scip, SCIP_CONS *cons, SCIP_VAR *var)
SCIP_RETCODE SCIPincludeConshdlrLinear(SCIP *scip)
type definitions for constraints and constraint handlers
type definitions for LP management
type definitions for miscellaneous datastructures
type definitions for return codes for SCIP methods
enum SCIP_Retcode SCIP_RETCODE
Definition: type_retcode.h:63
type definitions for SCIP's main datastructure
type definitions for storing primal CIP solutions
type definitions for problem variables