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/**@file   cons_symresack.h
 * @ingroup CONSHDLRS
 * @brief  constraint handler for symresack constraints
 * @author Christopher Hojny
 *
 */

/*---+----1----+----2----+----3----+----4----+----5----+----6----+----7----+----8----+----9----+----0----+----1----+----2*/

#ifndef __SCIP_CONS_SYMRESACK_H__
#define __SCIP_CONS_SYMRESACK_H__

#include "scip/def.h"
#include "scip/type_cons.h"
#include "scip/type_retcode.h"
#include "scip/type_scip.h"
#include "scip/type_var.h"

#ifdef __cplusplus
extern "C" {
#endif



/** creates the handler for symresack constraints and includes it in SCIP
 *
 * @ingroup ConshdlrIncludes
 */
SCIP_EXPORT
SCIP_RETCODE SCIPincludeConshdlrSymresack(
   SCIP*                 scip                /**< SCIP data structure */
   );

/**@addtogroup CONSHDLRS
 *
 * @{
 *
 * @name Symresack Constraints
 *
 * @{
 *
 * Given a permutation that acts on the order of the variables of a (mixed) 0/1-program
 * such that the permutation is a symmetry of the program, this constraint handler can
 * be used to handle the symmetries corresponding to the permutation. The symmetries
 * are handled by enforcing that a binary solution is lexicographically not smaller than
 * its permutation. In a presolving step, we check whether the permutation acts only on
 * binary points. Otherwise, we eliminate the non-binary variables from the permutation.
 * Furthermore, we delete fixed points from the permutation.
 *
 * Moreover, the constraint handler checks whether each cycle of the permutation is
 * contained in a set packing or partitioning constraint. In this case, the symresack
 * is strengthened to a ppsymresack and strong symmetry handling inequalities are added during
 * the initialization of the constraint handler.
 *
 * @pre The permutation is encoded by an array perm for which perm[i] = j if and only if
 * the image of i under the  permutation is j.
 *
 * @pre The permutation given to the constraint handler has to be a symmetry of the
 * underlying problem. This is NOT checked by the constraint handler.
 */

/** creates a symmetry breaking constraint
 *
 * Depending on the given permutation, either an orbisack or symresack constraint
 * is created.
 */
SCIP_EXPORT
SCIP_RETCODE SCIPcreateSymbreakCons(
   SCIP*                 scip,               /**< SCIP data structure */
   SCIP_CONS**           cons,               /**< pointer to hold the created constraint */
   const char*           name,               /**< name of constraint */
   int*                  perm,               /**< permutation */
   SCIP_VAR**            vars,               /**< variables */
   int                   nvars,              /**< number of variables in vars array */
   SCIP_Bool             ismodelcons,        /**< whether the added constraint is a model constraint */
   SCIP_Bool             initial,            /**< should the LP relaxation of constraint be in the initial LP?
                                              *   Usually set to TRUE. Set to FALSE for 'lazy constraints'. */
   SCIP_Bool             separate,           /**< should the constraint be separated during LP processing?
                                              *   Usually set to TRUE. */
   SCIP_Bool             enforce,            /**< should the constraint be enforced during node processing?
                                              *   TRUE for model constraints, FALSE for additional, redundant constraints. */
   SCIP_Bool             check,              /**< should the constraint be checked for feasibility?
                                              *   TRUE for model constraints, FALSE for additional, redundant constraints. */
   SCIP_Bool             propagate,          /**< should the constraint be propagated during node processing?
                                              *   Usually set to TRUE. */
   SCIP_Bool             local,              /**< is constraint only valid locally?
                                              *   Usually set to FALSE. Has to be set to TRUE, e.g., for branching constraints. */
   SCIP_Bool             modifiable,         /**< is constraint modifiable (subject to column generation)?
                                              *   Usually set to FALSE. In column generation applications, set to TRUE if pricing
                                              *   adds coefficients to this constraint. */
   SCIP_Bool             dynamic,            /**< is constraint subject to aging?
                                              *   Usually set to FALSE. Set to TRUE for own cuts which
                                              *   are separated as constraints. */
   SCIP_Bool             removable,          /**< should the relaxation be removed from the LP due to aging or cleanup?
                                              *   Usually set to FALSE. Set to TRUE for 'lazy constraints' and 'user cuts'. */
   SCIP_Bool             stickingatnode      /**< should the constraint always be kept at the node where it was added, even
                                              *   if it may be moved to a more global node?
                                              *   Usually set to FALSE. Set to TRUE to for constraints that represent node data. */
   );


/** creates and captures a symresack constraint
 *
 *  @note the constraint gets captured, hence at one point you have to release it using the method SCIPreleaseCons()
 */
SCIP_EXPORT
SCIP_RETCODE SCIPcreateConsSymresack(
   SCIP*                 scip,               /**< SCIP data structure */
   SCIP_CONS**           cons,               /**< pointer to hold the created constraint */
   const char*           name,               /**< name of constraint */
   int*                  perm,               /**< permutation */
   SCIP_VAR**            vars,               /**< variables */
   int                   nvars,              /**< number of variables in vars array */
   SCIP_Bool             ismodelcons,        /**< whether the symresack is a model constraint */
   SCIP_Bool             initial,            /**< should the LP relaxation of constraint be in the initial LP?
                                              *   Usually set to TRUE. Set to FALSE for 'lazy constraints'. */
   SCIP_Bool             separate,           /**< should the constraint be separated during LP processing?
                                              *   Usually set to TRUE. */
   SCIP_Bool             enforce,            /**< should the constraint be enforced during node processing?
                                              *   TRUE for model constraints, FALSE for additional, redundant constraints. */
   SCIP_Bool             check,              /**< should the constraint be checked for feasibility?
                                              *   TRUE for model constraints, FALSE for additional, redundant constraints. */
   SCIP_Bool             propagate,          /**< should the constraint be propagated during node processing?
                                              *   Usually set to TRUE. */
   SCIP_Bool             local,              /**< is constraint only valid locally?
                                              *   Usually set to FALSE. Has to be set to TRUE, e.g., for branching constraints. */
   SCIP_Bool             modifiable,         /**< is constraint modifiable (subject to column generation)?
                                              *   Usually set to FALSE. In column generation applications, set to TRUE if pricing
                                              *   adds coefficients to this constraint. */
   SCIP_Bool             dynamic,            /**< is constraint subject to aging?
                                              *   Usually set to FALSE. Set to TRUE for own cuts which
                                              *   are separated as constraints. */
   SCIP_Bool             removable,          /**< should the relaxation be removed from the LP due to aging or cleanup?
                                              *   Usually set to FALSE. Set to TRUE for 'lazy constraints' and 'user cuts'. */
   SCIP_Bool             stickingatnode      /**< should the constraint always be kept at the node where it was added, even
                                              *   if it may be moved to a more global node?
                                              *   Usually set to FALSE. Set to TRUE to for constraints that represent node data. */
   );

/** creates and captures a symresack constraint
 *  in its most basic variant, i.e., with all constraint flags set to their default values, which can be set
 *  afterwards using SCIPsetConsFLAGNAME() in scip.h
 *
 *  @see SCIPcreateConsSymresack() for the default constraint flag configuration
 *
 *  @note the constraint gets captured, hence at one point you have to release it using the method SCIPreleaseCons()
 */
SCIP_EXPORT
SCIP_RETCODE SCIPcreateConsBasicSymresack(
   SCIP*                 scip,               /**< SCIP data structure */
   SCIP_CONS**           cons,               /**< pointer to hold the created constraint */
   const char*           name,               /**< name of constraint */
   int*                  perm,               /**< permutation */
   SCIP_VAR**            vars,               /**< variables */
   int                   nvars,              /**< number of variables in vars array */
   SCIP_Bool             ismodelcons         /**< whether the symresack is a model constraint */
   );

/** @} */

/** @} */

#ifdef __cplusplus
}
#endif

#endif
