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+/* prob.h (LP/MIP problem object) */
+
+/***********************************************************************
+* This code is part of GLPK (GNU Linear Programming Kit).
+*
+* Copyright (C) 2000-2013 Andrew Makhorin, Department for Applied
+* Informatics, Moscow Aviation Institute, Moscow, Russia. All rights
+* reserved. E-mail: <mao@gnu.org>.
+*
+* GLPK 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 3 of the License, or
+* (at your option) any later version.
+*
+* GLPK 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 GLPK. If not, see <http://www.gnu.org/licenses/>.
+***********************************************************************/
+
+#ifndef PROB_H
+#define PROB_H
+
+#include "avl.h"
+#include "bfd.h"
+#include "dmp.h"
+#if 1 /* 28/III-2016 */
+#define GLP_UNDOC 1
+#endif
+#include "glpk.h"
+
+typedef struct GLPROW GLPROW;
+typedef struct GLPCOL GLPCOL;
+typedef struct GLPAIJ GLPAIJ;
+
+#if 0 /* 04/IV-2016 */
+#define GLP_PROB_MAGIC 0xD7D9D6C2
+#endif
+
+struct glp_prob
+{ /* LP/MIP problem object */
+#if 0 /* 04/IV-2016 */
+ unsigned magic;
+ /* magic value used for debugging */
+#endif
+ DMP *pool;
+ /* memory pool to store problem object components */
+ glp_tree *tree;
+ /* pointer to the search tree; set by the MIP solver when this
+ object is used in the tree as a core MIP object */
+#if 0 /* 08/III-2014 */
+ void *parms;
+ /* reserved for backward compatibility */
+#endif
+ /*--------------------------------------------------------------*/
+ /* LP/MIP data */
+ char *name;
+ /* problem name (1 to 255 chars); NULL means no name is assigned
+ to the problem */
+ char *obj;
+ /* objective function name (1 to 255 chars); NULL means no name
+ is assigned to the objective function */
+ int dir;
+ /* optimization direction flag (objective "sense"):
+ GLP_MIN - minimization
+ GLP_MAX - maximization */
+ double c0;
+ /* constant term of the objective function ("shift") */
+ int m_max;
+ /* length of the array of rows (enlarged automatically) */
+ int n_max;
+ /* length of the array of columns (enlarged automatically) */
+ int m;
+ /* number of rows, 0 <= m <= m_max */
+ int n;
+ /* number of columns, 0 <= n <= n_max */
+ int nnz;
+ /* number of non-zero constraint coefficients, nnz >= 0 */
+ GLPROW **row; /* GLPROW *row[1+m_max]; */
+ /* row[i], 1 <= i <= m, is a pointer to i-th row */
+ GLPCOL **col; /* GLPCOL *col[1+n_max]; */
+ /* col[j], 1 <= j <= n, is a pointer to j-th column */
+ AVL *r_tree;
+ /* row index to find rows by their names; NULL means this index
+ does not exist */
+ AVL *c_tree;
+ /* column index to find columns by their names; NULL means this
+ index does not exist */
+ /*--------------------------------------------------------------*/
+ /* basis factorization (LP) */
+ int valid;
+ /* the factorization is valid only if this flag is set */
+ int *head; /* int head[1+m_max]; */
+ /* basis header (valid only if the factorization is valid);
+ head[i] = k is the ordinal number of auxiliary (1 <= k <= m)
+ or structural (m+1 <= k <= m+n) variable which corresponds to
+ i-th basic variable xB[i], 1 <= i <= m */
+#if 0 /* 08/III-2014 */
+ glp_bfcp *bfcp;
+ /* basis factorization control parameters; may be NULL */
+#endif
+ BFD *bfd; /* BFD bfd[1:m,1:m]; */
+ /* basis factorization driver; may be NULL */
+ /*--------------------------------------------------------------*/
+ /* basic solution (LP) */
+ int pbs_stat;
+ /* primal basic solution status:
+ GLP_UNDEF - primal solution is undefined
+ GLP_FEAS - primal solution is feasible
+ GLP_INFEAS - primal solution is infeasible
+ GLP_NOFEAS - no primal feasible solution exists */
+ int dbs_stat;
+ /* dual basic solution status:
+ GLP_UNDEF - dual solution is undefined
+ GLP_FEAS - dual solution is feasible
+ GLP_INFEAS - dual solution is infeasible
+ GLP_NOFEAS - no dual feasible solution exists */
+ double obj_val;
+ /* objective function value */
+ int it_cnt;
+ /* simplex method iteration count; increases by one on performing
+ one simplex iteration */
+ int some;
+ /* ordinal number of some auxiliary or structural variable having
+ certain property, 0 <= some <= m+n */
+ /*--------------------------------------------------------------*/
+ /* interior-point solution (LP) */
+ int ipt_stat;
+ /* interior-point solution status:
+ GLP_UNDEF - interior solution is undefined
+ GLP_OPT - interior solution is optimal
+ GLP_INFEAS - interior solution is infeasible
+ GLP_NOFEAS - no feasible solution exists */
+ double ipt_obj;
+ /* objective function value */
+ /*--------------------------------------------------------------*/
+ /* integer solution (MIP) */
+ int mip_stat;
+ /* integer solution status:
+ GLP_UNDEF - integer solution is undefined
+ GLP_OPT - integer solution is optimal
+ GLP_FEAS - integer solution is feasible
+ GLP_NOFEAS - no integer solution exists */
+ double mip_obj;
+ /* objective function value */
+};
+
+struct GLPROW
+{ /* LP/MIP row (auxiliary variable) */
+ int i;
+ /* ordinal number (1 to m) assigned to this row */
+ char *name;
+ /* row name (1 to 255 chars); NULL means no name is assigned to
+ this row */
+ AVLNODE *node;
+ /* pointer to corresponding node in the row index; NULL means
+ that either the row index does not exist or this row has no
+ name assigned */
+#if 1 /* 20/IX-2008 */
+ int level;
+ unsigned char origin;
+ unsigned char klass;
+#endif
+ int type;
+ /* type of the auxiliary variable:
+ GLP_FR - free variable
+ GLP_LO - variable with lower bound
+ GLP_UP - variable with upper bound
+ GLP_DB - double-bounded variable
+ GLP_FX - fixed variable */
+ double lb; /* non-scaled */
+ /* lower bound; if the row has no lower bound, lb is zero */
+ double ub; /* non-scaled */
+ /* upper bound; if the row has no upper bound, ub is zero */
+ /* if the row type is GLP_FX, ub is equal to lb */
+ GLPAIJ *ptr; /* non-scaled */
+ /* pointer to doubly linked list of constraint coefficients which
+ are placed in this row */
+ double rii;
+ /* diagonal element r[i,i] of scaling matrix R for this row;
+ if the scaling is not used, r[i,i] is 1 */
+ int stat;
+ /* status of the auxiliary variable:
+ GLP_BS - basic variable
+ GLP_NL - non-basic variable on lower bound
+ GLP_NU - non-basic variable on upper bound
+ GLP_NF - non-basic free variable
+ GLP_NS - non-basic fixed variable */
+ int bind;
+ /* if the auxiliary variable is basic, head[bind] refers to this
+ row, otherwise, bind is 0; this attribute is valid only if the
+ basis factorization is valid */
+ double prim; /* non-scaled */
+ /* primal value of the auxiliary variable in basic solution */
+ double dual; /* non-scaled */
+ /* dual value of the auxiliary variable in basic solution */
+ double pval; /* non-scaled */
+ /* primal value of the auxiliary variable in interior solution */
+ double dval; /* non-scaled */
+ /* dual value of the auxiliary variable in interior solution */
+ double mipx; /* non-scaled */
+ /* primal value of the auxiliary variable in integer solution */
+};
+
+struct GLPCOL
+{ /* LP/MIP column (structural variable) */
+ int j;
+ /* ordinal number (1 to n) assigned to this column */
+ char *name;
+ /* column name (1 to 255 chars); NULL means no name is assigned
+ to this column */
+ AVLNODE *node;
+ /* pointer to corresponding node in the column index; NULL means
+ that either the column index does not exist or the column has
+ no name assigned */
+ int kind;
+ /* kind of the structural variable:
+ GLP_CV - continuous variable
+ GLP_IV - integer or binary variable */
+ int type;
+ /* type of the structural variable:
+ GLP_FR - free variable
+ GLP_LO - variable with lower bound
+ GLP_UP - variable with upper bound
+ GLP_DB - double-bounded variable
+ GLP_FX - fixed variable */
+ double lb; /* non-scaled */
+ /* lower bound; if the column has no lower bound, lb is zero */
+ double ub; /* non-scaled */
+ /* upper bound; if the column has no upper bound, ub is zero */
+ /* if the column type is GLP_FX, ub is equal to lb */
+ double coef; /* non-scaled */
+ /* objective coefficient at the structural variable */
+ GLPAIJ *ptr; /* non-scaled */
+ /* pointer to doubly linked list of constraint coefficients which
+ are placed in this column */
+ double sjj;
+ /* diagonal element s[j,j] of scaling matrix S for this column;
+ if the scaling is not used, s[j,j] is 1 */
+ int stat;
+ /* status of the structural variable:
+ GLP_BS - basic variable
+ GLP_NL - non-basic variable on lower bound
+ GLP_NU - non-basic variable on upper bound
+ GLP_NF - non-basic free variable
+ GLP_NS - non-basic fixed variable */
+ int bind;
+ /* if the structural variable is basic, head[bind] refers to
+ this column; otherwise, bind is 0; this attribute is valid only
+ if the basis factorization is valid */
+ double prim; /* non-scaled */
+ /* primal value of the structural variable in basic solution */
+ double dual; /* non-scaled */
+ /* dual value of the structural variable in basic solution */
+ double pval; /* non-scaled */
+ /* primal value of the structural variable in interior solution */
+ double dval; /* non-scaled */
+ /* dual value of the structural variable in interior solution */
+ double mipx; /* non-scaled */
+ /* primal value of the structural variable in integer solution */
+};
+
+struct GLPAIJ
+{ /* constraint coefficient a[i,j] */
+ GLPROW *row;
+ /* pointer to row, where this coefficient is placed */
+ GLPCOL *col;
+ /* pointer to column, where this coefficient is placed */
+ double val;
+ /* numeric (non-zero) value of this coefficient */
+ GLPAIJ *r_prev;
+ /* pointer to previous coefficient in the same row */
+ GLPAIJ *r_next;
+ /* pointer to next coefficient in the same row */
+ GLPAIJ *c_prev;
+ /* pointer to previous coefficient in the same column */
+ GLPAIJ *c_next;
+ /* pointer to next coefficient in the same column */
+};
+
+#endif
+
+/* eof */