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+/* glpk.h */
+
+/***********************************************************************
+* This code is part of GLPK (GNU Linear Programming Kit).
+*
+* Copyright (C) 2000-2018 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 GLPK_H
+#define GLPK_H
+
+#include <stdarg.h>
+#include <stddef.h>
+
+#ifdef __cplusplus
+extern "C" {
+#endif
+
+/* library version numbers: */
+#define GLP_MAJOR_VERSION 4
+#define GLP_MINOR_VERSION 65
+
+typedef struct glp_prob glp_prob;
+/* LP/MIP problem object */
+
+/* optimization direction flag: */
+#define GLP_MIN 1 /* minimization */
+#define GLP_MAX 2 /* maximization */
+
+/* kind of structural variable: */
+#define GLP_CV 1 /* continuous variable */
+#define GLP_IV 2 /* integer variable */
+#define GLP_BV 3 /* binary variable */
+
+/* type of auxiliary/structural variable: */
+#define GLP_FR 1 /* free (unbounded) variable */
+#define GLP_LO 2 /* variable with lower bound */
+#define GLP_UP 3 /* variable with upper bound */
+#define GLP_DB 4 /* double-bounded variable */
+#define GLP_FX 5 /* fixed variable */
+
+/* status of auxiliary/structural variable: */
+#define GLP_BS 1 /* basic variable */
+#define GLP_NL 2 /* non-basic variable on lower bound */
+#define GLP_NU 3 /* non-basic variable on upper bound */
+#define GLP_NF 4 /* non-basic free (unbounded) variable */
+#define GLP_NS 5 /* non-basic fixed variable */
+
+/* scaling options: */
+#define GLP_SF_GM 0x01 /* perform geometric mean scaling */
+#define GLP_SF_EQ 0x10 /* perform equilibration scaling */
+#define GLP_SF_2N 0x20 /* round scale factors to power of two */
+#define GLP_SF_SKIP 0x40 /* skip if problem is well scaled */
+#define GLP_SF_AUTO 0x80 /* choose scaling options automatically */
+
+/* solution indicator: */
+#define GLP_SOL 1 /* basic solution */
+#define GLP_IPT 2 /* interior-point solution */
+#define GLP_MIP 3 /* mixed integer solution */
+
+/* solution status: */
+#define GLP_UNDEF 1 /* solution is undefined */
+#define GLP_FEAS 2 /* solution is feasible */
+#define GLP_INFEAS 3 /* solution is infeasible */
+#define GLP_NOFEAS 4 /* no feasible solution exists */
+#define GLP_OPT 5 /* solution is optimal */
+#define GLP_UNBND 6 /* solution is unbounded */
+
+typedef struct
+{ /* basis factorization control parameters */
+ int msg_lev; /* (not used) */
+ int type; /* factorization type: */
+#if 1 /* 05/III-2014 */
+#define GLP_BF_LUF 0x00 /* plain LU-factorization */
+#define GLP_BF_BTF 0x10 /* block triangular LU-factorization */
+#endif
+#define GLP_BF_FT 0x01 /* Forrest-Tomlin (LUF only) */
+#define GLP_BF_BG 0x02 /* Schur compl. + Bartels-Golub */
+#define GLP_BF_GR 0x03 /* Schur compl. + Givens rotation */
+ int lu_size; /* (not used) */
+ double piv_tol; /* sgf_piv_tol */
+ int piv_lim; /* sgf_piv_lim */
+ int suhl; /* sgf_suhl */
+ double eps_tol; /* sgf_eps_tol */
+ double max_gro; /* (not used) */
+ int nfs_max; /* fhvint.nfs_max */
+ double upd_tol; /* (not used) */
+ int nrs_max; /* scfint.nn_max */
+ int rs_size; /* (not used) */
+ double foo_bar[38]; /* (reserved) */
+} glp_bfcp;
+
+typedef struct
+{ /* simplex solver control parameters */
+ int msg_lev; /* message level: */
+#define GLP_MSG_OFF 0 /* no output */
+#define GLP_MSG_ERR 1 /* warning and error messages only */
+#define GLP_MSG_ON 2 /* normal output */
+#define GLP_MSG_ALL 3 /* full output */
+#define GLP_MSG_DBG 4 /* debug output */
+ int meth; /* simplex method option: */
+#define GLP_PRIMAL 1 /* use primal simplex */
+#define GLP_DUALP 2 /* use dual; if it fails, use primal */
+#define GLP_DUAL 3 /* use dual simplex */
+ int pricing; /* pricing technique: */
+#define GLP_PT_STD 0x11 /* standard (Dantzig's rule) */
+#define GLP_PT_PSE 0x22 /* projected steepest edge */
+ int r_test; /* ratio test technique: */
+#define GLP_RT_STD 0x11 /* standard (textbook) */
+#define GLP_RT_HAR 0x22 /* Harris' two-pass ratio test */
+#if 1 /* 16/III-2016 */
+#define GLP_RT_FLIP 0x33 /* long-step (flip-flop) ratio test */
+#endif
+ double tol_bnd; /* primal feasibility tolerance */
+ double tol_dj; /* dual feasibility tolerance */
+ double tol_piv; /* pivot tolerance */
+ double obj_ll; /* lower objective limit */
+ double obj_ul; /* upper objective limit */
+ int it_lim; /* simplex iteration limit */
+ int tm_lim; /* time limit, ms */
+ int out_frq; /* display output frequency, ms */
+ int out_dly; /* display output delay, ms */
+ int presolve; /* enable/disable using LP presolver */
+#if 1 /* 11/VII-2017 (not documented yet) */
+ int excl; /* exclude fixed non-basic variables */
+ int shift; /* shift bounds of variables to zero */
+ int aorn; /* option to use A or N: */
+#define GLP_USE_AT 1 /* use A matrix in row-wise format */
+#define GLP_USE_NT 2 /* use N matrix in row-wise format */
+ double foo_bar[33]; /* (reserved) */
+#endif
+} glp_smcp;
+
+typedef struct
+{ /* interior-point solver control parameters */
+ int msg_lev; /* message level (see glp_smcp) */
+ int ord_alg; /* ordering algorithm: */
+#define GLP_ORD_NONE 0 /* natural (original) ordering */
+#define GLP_ORD_QMD 1 /* quotient minimum degree (QMD) */
+#define GLP_ORD_AMD 2 /* approx. minimum degree (AMD) */
+#define GLP_ORD_SYMAMD 3 /* approx. minimum degree (SYMAMD) */
+ double foo_bar[48]; /* (reserved) */
+} glp_iptcp;
+
+typedef struct glp_tree glp_tree;
+/* branch-and-bound tree */
+
+typedef struct
+{ /* integer optimizer control parameters */
+ int msg_lev; /* message level (see glp_smcp) */
+ int br_tech; /* branching technique: */
+#define GLP_BR_FFV 1 /* first fractional variable */
+#define GLP_BR_LFV 2 /* last fractional variable */
+#define GLP_BR_MFV 3 /* most fractional variable */
+#define GLP_BR_DTH 4 /* heuristic by Driebeck and Tomlin */
+#define GLP_BR_PCH 5 /* hybrid pseudocost heuristic */
+ int bt_tech; /* backtracking technique: */
+#define GLP_BT_DFS 1 /* depth first search */
+#define GLP_BT_BFS 2 /* breadth first search */
+#define GLP_BT_BLB 3 /* best local bound */
+#define GLP_BT_BPH 4 /* best projection heuristic */
+ double tol_int; /* mip.tol_int */
+ double tol_obj; /* mip.tol_obj */
+ int tm_lim; /* mip.tm_lim (milliseconds) */
+ int out_frq; /* mip.out_frq (milliseconds) */
+ int out_dly; /* mip.out_dly (milliseconds) */
+ void (*cb_func)(glp_tree *T, void *info);
+ /* mip.cb_func */
+ void *cb_info; /* mip.cb_info */
+ int cb_size; /* mip.cb_size */
+ int pp_tech; /* preprocessing technique: */
+#define GLP_PP_NONE 0 /* disable preprocessing */
+#define GLP_PP_ROOT 1 /* preprocessing only on root level */
+#define GLP_PP_ALL 2 /* preprocessing on all levels */
+ double mip_gap; /* relative MIP gap tolerance */
+ int mir_cuts; /* MIR cuts (GLP_ON/GLP_OFF) */
+ int gmi_cuts; /* Gomory's cuts (GLP_ON/GLP_OFF) */
+ int cov_cuts; /* cover cuts (GLP_ON/GLP_OFF) */
+ int clq_cuts; /* clique cuts (GLP_ON/GLP_OFF) */
+ int presolve; /* enable/disable using MIP presolver */
+ int binarize; /* try to binarize integer variables */
+ int fp_heur; /* feasibility pump heuristic */
+ int ps_heur; /* proximity search heuristic */
+ int ps_tm_lim; /* proxy time limit, milliseconds */
+ int sr_heur; /* simple rounding heuristic */
+#if 1 /* 24/X-2015; not documented--should not be used */
+ int use_sol; /* use existing solution */
+ const char *save_sol; /* filename to save every new solution */
+ int alien; /* use alien solver */
+#endif
+#if 1 /* 16/III-2016; not documented--should not be used */
+ int flip; /* use long-step dual simplex */
+#endif
+ double foo_bar[23]; /* (reserved) */
+} glp_iocp;
+
+typedef struct
+{ /* additional row attributes */
+ int level;
+ /* subproblem level at which the row was added */
+ int origin;
+ /* row origin flag: */
+#define GLP_RF_REG 0 /* regular constraint */
+#define GLP_RF_LAZY 1 /* "lazy" constraint */
+#define GLP_RF_CUT 2 /* cutting plane constraint */
+ int klass;
+ /* row class descriptor: */
+#define GLP_RF_GMI 1 /* Gomory's mixed integer cut */
+#define GLP_RF_MIR 2 /* mixed integer rounding cut */
+#define GLP_RF_COV 3 /* mixed cover cut */
+#define GLP_RF_CLQ 4 /* clique cut */
+ double foo_bar[7];
+ /* (reserved) */
+} glp_attr;
+
+/* enable/disable flag: */
+#define GLP_ON 1 /* enable something */
+#define GLP_OFF 0 /* disable something */
+
+/* reason codes: */
+#define GLP_IROWGEN 0x01 /* request for row generation */
+#define GLP_IBINGO 0x02 /* better integer solution found */
+#define GLP_IHEUR 0x03 /* request for heuristic solution */
+#define GLP_ICUTGEN 0x04 /* request for cut generation */
+#define GLP_IBRANCH 0x05 /* request for branching */
+#define GLP_ISELECT 0x06 /* request for subproblem selection */
+#define GLP_IPREPRO 0x07 /* request for preprocessing */
+
+/* branch selection indicator: */
+#define GLP_NO_BRNCH 0 /* select no branch */
+#define GLP_DN_BRNCH 1 /* select down-branch */
+#define GLP_UP_BRNCH 2 /* select up-branch */
+
+/* return codes: */
+#define GLP_EBADB 0x01 /* invalid basis */
+#define GLP_ESING 0x02 /* singular matrix */
+#define GLP_ECOND 0x03 /* ill-conditioned matrix */
+#define GLP_EBOUND 0x04 /* invalid bounds */
+#define GLP_EFAIL 0x05 /* solver failed */
+#define GLP_EOBJLL 0x06 /* objective lower limit reached */
+#define GLP_EOBJUL 0x07 /* objective upper limit reached */
+#define GLP_EITLIM 0x08 /* iteration limit exceeded */
+#define GLP_ETMLIM 0x09 /* time limit exceeded */
+#define GLP_ENOPFS 0x0A /* no primal feasible solution */
+#define GLP_ENODFS 0x0B /* no dual feasible solution */
+#define GLP_EROOT 0x0C /* root LP optimum not provided */
+#define GLP_ESTOP 0x0D /* search terminated by application */
+#define GLP_EMIPGAP 0x0E /* relative mip gap tolerance reached */
+#define GLP_ENOFEAS 0x0F /* no primal/dual feasible solution */
+#define GLP_ENOCVG 0x10 /* no convergence */
+#define GLP_EINSTAB 0x11 /* numerical instability */
+#define GLP_EDATA 0x12 /* invalid data */
+#define GLP_ERANGE 0x13 /* result out of range */
+
+/* condition indicator: */
+#define GLP_KKT_PE 1 /* primal equalities */
+#define GLP_KKT_PB 2 /* primal bounds */
+#define GLP_KKT_DE 3 /* dual equalities */
+#define GLP_KKT_DB 4 /* dual bounds */
+#define GLP_KKT_CS 5 /* complementary slackness */
+
+/* MPS file format: */
+#define GLP_MPS_DECK 1 /* fixed (ancient) */
+#define GLP_MPS_FILE 2 /* free (modern) */
+
+typedef struct
+{ /* MPS format control parameters */
+ int blank;
+ /* character code to replace blanks in symbolic names */
+ char *obj_name;
+ /* objective row name */
+ double tol_mps;
+ /* zero tolerance for MPS data */
+ double foo_bar[17];
+ /* (reserved for use in the future) */
+} glp_mpscp;
+
+typedef struct
+{ /* CPLEX LP format control parameters */
+ double foo_bar[20];
+ /* (reserved for use in the future) */
+} glp_cpxcp;
+
+#if 1 /* 10/XII-2017 */
+typedef struct glp_prep glp_prep;
+/* LP/MIP preprocessor workspace */
+#endif
+
+typedef struct glp_tran glp_tran;
+/* MathProg translator workspace */
+
+glp_prob *glp_create_prob(void);
+/* create problem object */
+
+void glp_set_prob_name(glp_prob *P, const char *name);
+/* assign (change) problem name */
+
+void glp_set_obj_name(glp_prob *P, const char *name);
+/* assign (change) objective function name */
+
+void glp_set_obj_dir(glp_prob *P, int dir);
+/* set (change) optimization direction flag */
+
+int glp_add_rows(glp_prob *P, int nrs);
+/* add new rows to problem object */
+
+int glp_add_cols(glp_prob *P, int ncs);
+/* add new columns to problem object */
+
+void glp_set_row_name(glp_prob *P, int i, const char *name);
+/* assign (change) row name */
+
+void glp_set_col_name(glp_prob *P, int j, const char *name);
+/* assign (change) column name */
+
+void glp_set_row_bnds(glp_prob *P, int i, int type, double lb,
+ double ub);
+/* set (change) row bounds */
+
+void glp_set_col_bnds(glp_prob *P, int j, int type, double lb,
+ double ub);
+/* set (change) column bounds */
+
+void glp_set_obj_coef(glp_prob *P, int j, double coef);
+/* set (change) obj. coefficient or constant term */
+
+void glp_set_mat_row(glp_prob *P, int i, int len, const int ind[],
+ const double val[]);
+/* set (replace) row of the constraint matrix */
+
+void glp_set_mat_col(glp_prob *P, int j, int len, const int ind[],
+ const double val[]);
+/* set (replace) column of the constraint matrix */
+
+void glp_load_matrix(glp_prob *P, int ne, const int ia[],
+ const int ja[], const double ar[]);
+/* load (replace) the whole constraint matrix */
+
+int glp_check_dup(int m, int n, int ne, const int ia[], const int ja[]);
+/* check for duplicate elements in sparse matrix */
+
+void glp_sort_matrix(glp_prob *P);
+/* sort elements of the constraint matrix */
+
+void glp_del_rows(glp_prob *P, int nrs, const int num[]);
+/* delete specified rows from problem object */
+
+void glp_del_cols(glp_prob *P, int ncs, const int num[]);
+/* delete specified columns from problem object */
+
+void glp_copy_prob(glp_prob *dest, glp_prob *prob, int names);
+/* copy problem object content */
+
+void glp_erase_prob(glp_prob *P);
+/* erase problem object content */
+
+void glp_delete_prob(glp_prob *P);
+/* delete problem object */
+
+const char *glp_get_prob_name(glp_prob *P);
+/* retrieve problem name */
+
+const char *glp_get_obj_name(glp_prob *P);
+/* retrieve objective function name */
+
+int glp_get_obj_dir(glp_prob *P);
+/* retrieve optimization direction flag */
+
+int glp_get_num_rows(glp_prob *P);
+/* retrieve number of rows */
+
+int glp_get_num_cols(glp_prob *P);
+/* retrieve number of columns */
+
+const char *glp_get_row_name(glp_prob *P, int i);
+/* retrieve row name */
+
+const char *glp_get_col_name(glp_prob *P, int j);
+/* retrieve column name */
+
+int glp_get_row_type(glp_prob *P, int i);
+/* retrieve row type */
+
+double glp_get_row_lb(glp_prob *P, int i);
+/* retrieve row lower bound */
+
+double glp_get_row_ub(glp_prob *P, int i);
+/* retrieve row upper bound */
+
+int glp_get_col_type(glp_prob *P, int j);
+/* retrieve column type */
+
+double glp_get_col_lb(glp_prob *P, int j);
+/* retrieve column lower bound */
+
+double glp_get_col_ub(glp_prob *P, int j);
+/* retrieve column upper bound */
+
+double glp_get_obj_coef(glp_prob *P, int j);
+/* retrieve obj. coefficient or constant term */
+
+int glp_get_num_nz(glp_prob *P);
+/* retrieve number of constraint coefficients */
+
+int glp_get_mat_row(glp_prob *P, int i, int ind[], double val[]);
+/* retrieve row of the constraint matrix */
+
+int glp_get_mat_col(glp_prob *P, int j, int ind[], double val[]);
+/* retrieve column of the constraint matrix */
+
+void glp_create_index(glp_prob *P);
+/* create the name index */
+
+int glp_find_row(glp_prob *P, const char *name);
+/* find row by its name */
+
+int glp_find_col(glp_prob *P, const char *name);
+/* find column by its name */
+
+void glp_delete_index(glp_prob *P);
+/* delete the name index */
+
+void glp_set_rii(glp_prob *P, int i, double rii);
+/* set (change) row scale factor */
+
+void glp_set_sjj(glp_prob *P, int j, double sjj);
+/* set (change) column scale factor */
+
+double glp_get_rii(glp_prob *P, int i);
+/* retrieve row scale factor */
+
+double glp_get_sjj(glp_prob *P, int j);
+/* retrieve column scale factor */
+
+void glp_scale_prob(glp_prob *P, int flags);
+/* scale problem data */
+
+void glp_unscale_prob(glp_prob *P);
+/* unscale problem data */
+
+void glp_set_row_stat(glp_prob *P, int i, int stat);
+/* set (change) row status */
+
+void glp_set_col_stat(glp_prob *P, int j, int stat);
+/* set (change) column status */
+
+void glp_std_basis(glp_prob *P);
+/* construct standard initial LP basis */
+
+void glp_adv_basis(glp_prob *P, int flags);
+/* construct advanced initial LP basis */
+
+void glp_cpx_basis(glp_prob *P);
+/* construct Bixby's initial LP basis */
+
+int glp_simplex(glp_prob *P, const glp_smcp *parm);
+/* solve LP problem with the simplex method */
+
+int glp_exact(glp_prob *P, const glp_smcp *parm);
+/* solve LP problem in exact arithmetic */
+
+void glp_init_smcp(glp_smcp *parm);
+/* initialize simplex method control parameters */
+
+int glp_get_status(glp_prob *P);
+/* retrieve generic status of basic solution */
+
+int glp_get_prim_stat(glp_prob *P);
+/* retrieve status of primal basic solution */
+
+int glp_get_dual_stat(glp_prob *P);
+/* retrieve status of dual basic solution */
+
+double glp_get_obj_val(glp_prob *P);
+/* retrieve objective value (basic solution) */
+
+int glp_get_row_stat(glp_prob *P, int i);
+/* retrieve row status */
+
+double glp_get_row_prim(glp_prob *P, int i);
+/* retrieve row primal value (basic solution) */
+
+double glp_get_row_dual(glp_prob *P, int i);
+/* retrieve row dual value (basic solution) */
+
+int glp_get_col_stat(glp_prob *P, int j);
+/* retrieve column status */
+
+double glp_get_col_prim(glp_prob *P, int j);
+/* retrieve column primal value (basic solution) */
+
+double glp_get_col_dual(glp_prob *P, int j);
+/* retrieve column dual value (basic solution) */
+
+int glp_get_unbnd_ray(glp_prob *P);
+/* determine variable causing unboundedness */
+
+#if 1 /* 08/VIII-2013; not documented yet */
+int glp_get_it_cnt(glp_prob *P);
+/* get simplex solver iteration count */
+#endif
+
+#if 1 /* 08/VIII-2013; not documented yet */
+void glp_set_it_cnt(glp_prob *P, int it_cnt);
+/* set simplex solver iteration count */
+#endif
+
+int glp_interior(glp_prob *P, const glp_iptcp *parm);
+/* solve LP problem with the interior-point method */
+
+void glp_init_iptcp(glp_iptcp *parm);
+/* initialize interior-point solver control parameters */
+
+int glp_ipt_status(glp_prob *P);
+/* retrieve status of interior-point solution */
+
+double glp_ipt_obj_val(glp_prob *P);
+/* retrieve objective value (interior point) */
+
+double glp_ipt_row_prim(glp_prob *P, int i);
+/* retrieve row primal value (interior point) */
+
+double glp_ipt_row_dual(glp_prob *P, int i);
+/* retrieve row dual value (interior point) */
+
+double glp_ipt_col_prim(glp_prob *P, int j);
+/* retrieve column primal value (interior point) */
+
+double glp_ipt_col_dual(glp_prob *P, int j);
+/* retrieve column dual value (interior point) */
+
+void glp_set_col_kind(glp_prob *P, int j, int kind);
+/* set (change) column kind */
+
+int glp_get_col_kind(glp_prob *P, int j);
+/* retrieve column kind */
+
+int glp_get_num_int(glp_prob *P);
+/* retrieve number of integer columns */
+
+int glp_get_num_bin(glp_prob *P);
+/* retrieve number of binary columns */
+
+int glp_intopt(glp_prob *P, const glp_iocp *parm);
+/* solve MIP problem with the branch-and-bound method */
+
+void glp_init_iocp(glp_iocp *parm);
+/* initialize integer optimizer control parameters */
+
+int glp_mip_status(glp_prob *P);
+/* retrieve status of MIP solution */
+
+double glp_mip_obj_val(glp_prob *P);
+/* retrieve objective value (MIP solution) */
+
+double glp_mip_row_val(glp_prob *P, int i);
+/* retrieve row value (MIP solution) */
+
+double glp_mip_col_val(glp_prob *P, int j);
+/* retrieve column value (MIP solution) */
+
+void glp_check_kkt(glp_prob *P, int sol, int cond, double *ae_max,
+ int *ae_ind, double *re_max, int *re_ind);
+/* check feasibility/optimality conditions */
+
+int glp_print_sol(glp_prob *P, const char *fname);
+/* write basic solution in printable format */
+
+int glp_read_sol(glp_prob *P, const char *fname);
+/* read basic solution from text file */
+
+int glp_write_sol(glp_prob *P, const char *fname);
+/* write basic solution to text file */
+
+int glp_print_ranges(glp_prob *P, int len, const int list[],
+ int flags, const char *fname);
+/* print sensitivity analysis report */
+
+int glp_print_ipt(glp_prob *P, const char *fname);
+/* write interior-point solution in printable format */
+
+int glp_read_ipt(glp_prob *P, const char *fname);
+/* read interior-point solution from text file */
+
+int glp_write_ipt(glp_prob *P, const char *fname);
+/* write interior-point solution to text file */
+
+int glp_print_mip(glp_prob *P, const char *fname);
+/* write MIP solution in printable format */
+
+int glp_read_mip(glp_prob *P, const char *fname);
+/* read MIP solution from text file */
+
+int glp_write_mip(glp_prob *P, const char *fname);
+/* write MIP solution to text file */
+
+int glp_bf_exists(glp_prob *P);
+/* check if LP basis factorization exists */
+
+int glp_factorize(glp_prob *P);
+/* compute LP basis factorization */
+
+int glp_bf_updated(glp_prob *P);
+/* check if LP basis factorization has been updated */
+
+void glp_get_bfcp(glp_prob *P, glp_bfcp *parm);
+/* retrieve LP basis factorization control parameters */
+
+void glp_set_bfcp(glp_prob *P, const glp_bfcp *parm);
+/* change LP basis factorization control parameters */
+
+int glp_get_bhead(glp_prob *P, int k);
+/* retrieve LP basis header information */
+
+int glp_get_row_bind(glp_prob *P, int i);
+/* retrieve row index in the basis header */
+
+int glp_get_col_bind(glp_prob *P, int j);
+/* retrieve column index in the basis header */
+
+void glp_ftran(glp_prob *P, double x[]);
+/* perform forward transformation (solve system B*x = b) */
+
+void glp_btran(glp_prob *P, double x[]);
+/* perform backward transformation (solve system B'*x = b) */
+
+int glp_warm_up(glp_prob *P);
+/* "warm up" LP basis */
+
+int glp_eval_tab_row(glp_prob *P, int k, int ind[], double val[]);
+/* compute row of the simplex tableau */
+
+int glp_eval_tab_col(glp_prob *P, int k, int ind[], double val[]);
+/* compute column of the simplex tableau */
+
+int glp_transform_row(glp_prob *P, int len, int ind[], double val[]);
+/* transform explicitly specified row */
+
+int glp_transform_col(glp_prob *P, int len, int ind[], double val[]);
+/* transform explicitly specified column */
+
+int glp_prim_rtest(glp_prob *P, int len, const int ind[],
+ const double val[], int dir, double eps);
+/* perform primal ratio test */
+
+int glp_dual_rtest(glp_prob *P, int len, const int ind[],
+ const double val[], int dir, double eps);
+/* perform dual ratio test */
+
+void glp_analyze_bound(glp_prob *P, int k, double *value1, int *var1,
+ double *value2, int *var2);
+/* analyze active bound of non-basic variable */
+
+void glp_analyze_coef(glp_prob *P, int k, double *coef1, int *var1,
+ double *value1, double *coef2, int *var2, double *value2);
+/* analyze objective coefficient at basic variable */
+
+#if 1 /* 10/XII-2017 */
+glp_prep *glp_npp_alloc_wksp(void);
+/* allocate the preprocessor workspace */
+
+void glp_npp_load_prob(glp_prep *prep, glp_prob *P, int sol,
+ int names);
+/* load original problem instance */
+
+int glp_npp_preprocess1(glp_prep *prep, int hard);
+/* perform basic LP/MIP preprocessing */
+
+void glp_npp_build_prob(glp_prep *prep, glp_prob *Q);
+/* build resultant problem instance */
+
+void glp_npp_postprocess(glp_prep *prep, glp_prob *Q);
+/* postprocess solution to resultant problem */
+
+void glp_npp_obtain_sol(glp_prep *prep, glp_prob *P);
+/* obtain solution to original problem */
+
+void glp_npp_free_wksp(glp_prep *prep);
+/* free the preprocessor workspace */
+#endif
+
+int glp_ios_reason(glp_tree *T);
+/* determine reason for calling the callback routine */
+
+glp_prob *glp_ios_get_prob(glp_tree *T);
+/* access the problem object */
+
+void glp_ios_tree_size(glp_tree *T, int *a_cnt, int *n_cnt,
+ int *t_cnt);
+/* determine size of the branch-and-bound tree */
+
+int glp_ios_curr_node(glp_tree *T);
+/* determine current active subproblem */
+
+int glp_ios_next_node(glp_tree *T, int p);
+/* determine next active subproblem */
+
+int glp_ios_prev_node(glp_tree *T, int p);
+/* determine previous active subproblem */
+
+int glp_ios_up_node(glp_tree *T, int p);
+/* determine parent subproblem */
+
+int glp_ios_node_level(glp_tree *T, int p);
+/* determine subproblem level */
+
+double glp_ios_node_bound(glp_tree *T, int p);
+/* determine subproblem local bound */
+
+int glp_ios_best_node(glp_tree *T);
+/* find active subproblem with best local bound */
+
+double glp_ios_mip_gap(glp_tree *T);
+/* compute relative MIP gap */
+
+void *glp_ios_node_data(glp_tree *T, int p);
+/* access subproblem application-specific data */
+
+void glp_ios_row_attr(glp_tree *T, int i, glp_attr *attr);
+/* retrieve additional row attributes */
+
+int glp_ios_pool_size(glp_tree *T);
+/* determine current size of the cut pool */
+
+int glp_ios_add_row(glp_tree *T,
+ const char *name, int klass, int flags, int len, const int ind[],
+ const double val[], int type, double rhs);
+/* add row (constraint) to the cut pool */
+
+void glp_ios_del_row(glp_tree *T, int i);
+/* remove row (constraint) from the cut pool */
+
+void glp_ios_clear_pool(glp_tree *T);
+/* remove all rows (constraints) from the cut pool */
+
+int glp_ios_can_branch(glp_tree *T, int j);
+/* check if can branch upon specified variable */
+
+void glp_ios_branch_upon(glp_tree *T, int j, int sel);
+/* choose variable to branch upon */
+
+void glp_ios_select_node(glp_tree *T, int p);
+/* select subproblem to continue the search */
+
+int glp_ios_heur_sol(glp_tree *T, const double x[]);
+/* provide solution found by heuristic */
+
+void glp_ios_terminate(glp_tree *T);
+/* terminate the solution process */
+
+#ifdef GLP_UNDOC
+int glp_gmi_cut(glp_prob *P, int j, int ind[], double val[], double
+ phi[]);
+/* generate Gomory's mixed integer cut (core routine) */
+
+int glp_gmi_gen(glp_prob *P, glp_prob *pool, int max_cuts);
+/* generate Gomory's mixed integer cuts */
+
+typedef struct glp_cov glp_cov;
+/* cover cur generator workspace */
+
+glp_cov *glp_cov_init(glp_prob *P);
+/* create and initialize cover cut generator */
+
+void glp_cov_gen1(glp_prob *P, glp_cov *cov, glp_prob *pool);
+/* generate locally valid simple cover cuts */
+
+void glp_cov_free(glp_cov *cov);
+/* delete cover cut generator workspace */
+
+typedef struct glp_mir glp_mir;
+/* MIR cut generator workspace */
+
+glp_mir *glp_mir_init(glp_prob *P);
+/* create and initialize MIR cut generator */
+
+int glp_mir_gen(glp_prob *P, glp_mir *mir, glp_prob *pool);
+/* generate mixed integer rounding (MIR) cuts */
+
+void glp_mir_free(glp_mir *mir);
+/* delete MIR cut generator workspace */
+
+typedef struct glp_cfg glp_cfg;
+/* conflict graph descriptor */
+
+glp_cfg *glp_cfg_init(glp_prob *P);
+/* create and initialize conflict graph */
+
+void glp_cfg_free(glp_cfg *G);
+/* delete conflict graph descriptor */
+
+int glp_clq_cut(glp_prob *P, glp_cfg *G, int ind[], double val[]);
+/* generate clique cut from conflict graph */
+#endif /* GLP_UNDOC */
+
+void glp_init_mpscp(glp_mpscp *parm);
+/* initialize MPS format control parameters */
+
+int glp_read_mps(glp_prob *P, int fmt, const glp_mpscp *parm,
+ const char *fname);
+/* read problem data in MPS format */
+
+int glp_write_mps(glp_prob *P, int fmt, const glp_mpscp *parm,
+ const char *fname);
+/* write problem data in MPS format */
+
+void glp_init_cpxcp(glp_cpxcp *parm);
+/* initialize CPLEX LP format control parameters */
+
+int glp_read_lp(glp_prob *P, const glp_cpxcp *parm, const char *fname);
+/* read problem data in CPLEX LP format */
+
+int glp_write_lp(glp_prob *P, const glp_cpxcp *parm, const char *fname);
+/* write problem data in CPLEX LP format */
+
+int glp_read_prob(glp_prob *P, int flags, const char *fname);
+/* read problem data in GLPK format */
+
+int glp_write_prob(glp_prob *P, int flags, const char *fname);
+/* write problem data in GLPK format */
+
+glp_tran *glp_mpl_alloc_wksp(void);
+/* allocate the MathProg translator workspace */
+
+void glp_mpl_init_rand(glp_tran *tran, int seed);
+/* initialize pseudo-random number generator */
+
+int glp_mpl_read_model(glp_tran *tran, const char *fname, int skip);
+/* read and translate model section */
+
+int glp_mpl_read_data(glp_tran *tran, const char *fname);
+/* read and translate data section */
+
+int glp_mpl_generate(glp_tran *tran, const char *fname);
+/* generate the model */
+
+void glp_mpl_build_prob(glp_tran *tran, glp_prob *prob);
+/* build LP/MIP problem instance from the model */
+
+int glp_mpl_postsolve(glp_tran *tran, glp_prob *prob, int sol);
+/* postsolve the model */
+
+void glp_mpl_free_wksp(glp_tran *tran);
+/* free the MathProg translator workspace */
+
+int glp_read_cnfsat(glp_prob *P, const char *fname);
+/* read CNF-SAT problem data in DIMACS format */
+
+int glp_check_cnfsat(glp_prob *P);
+/* check for CNF-SAT problem instance */
+
+int glp_write_cnfsat(glp_prob *P, const char *fname);
+/* write CNF-SAT problem data in DIMACS format */
+
+int glp_minisat1(glp_prob *P);
+/* solve CNF-SAT problem with MiniSat solver */
+
+int glp_intfeas1(glp_prob *P, int use_bound, int obj_bound);
+/* solve integer feasibility problem */
+
+int glp_init_env(void);
+/* initialize GLPK environment */
+
+const char *glp_version(void);
+/* determine library version */
+
+const char *glp_config(const char *option);
+/* determine library configuration */
+
+int glp_free_env(void);
+/* free GLPK environment */
+
+void glp_puts(const char *s);
+/* write string on terminal */
+
+void glp_printf(const char *fmt, ...);
+/* write formatted output on terminal */
+
+void glp_vprintf(const char *fmt, va_list arg);
+/* write formatted output on terminal */
+
+int glp_term_out(int flag);
+/* enable/disable terminal output */
+
+void glp_term_hook(int (*func)(void *info, const char *s), void *info);
+/* install hook to intercept terminal output */
+
+int glp_open_tee(const char *name);
+/* start copying terminal output to text file */
+
+int glp_close_tee(void);
+/* stop copying terminal output to text file */
+
+#ifndef GLP_ERRFUNC_DEFINED
+#define GLP_ERRFUNC_DEFINED
+typedef void (*glp_errfunc)(const char *fmt, ...);
+#endif
+
+#define glp_error glp_error_(__FILE__, __LINE__)
+glp_errfunc glp_error_(const char *file, int line);
+/* display fatal error message and terminate execution */
+
+#if 1 /* 07/XI-2015 */
+int glp_at_error(void);
+/* check for error state */
+#endif
+
+#define glp_assert(expr) \
+ ((void)((expr) || (glp_assert_(#expr, __FILE__, __LINE__), 1)))
+void glp_assert_(const char *expr, const char *file, int line);
+/* check for logical condition */
+
+void glp_error_hook(void (*func)(void *info), void *info);
+/* install hook to intercept abnormal termination */
+
+#define glp_malloc(size) glp_alloc(1, size)
+/* allocate memory block (obsolete) */
+
+#define glp_calloc(n, size) glp_alloc(n, size)
+/* allocate memory block (obsolete) */
+
+void *glp_alloc(int n, int size);
+/* allocate memory block */
+
+void *glp_realloc(void *ptr, int n, int size);
+/* reallocate memory block */
+
+void glp_free(void *ptr);
+/* free (deallocate) memory block */
+
+void glp_mem_limit(int limit);
+/* set memory usage limit */
+
+void glp_mem_usage(int *count, int *cpeak, size_t *total,
+ size_t *tpeak);
+/* get memory usage information */
+
+double glp_time(void);
+/* determine current universal time */
+
+double glp_difftime(double t1, double t0);
+/* compute difference between two time values */
+
+typedef struct glp_graph glp_graph;
+typedef struct glp_vertex glp_vertex;
+typedef struct glp_arc glp_arc;
+
+struct glp_graph
+{ /* graph descriptor */
+ void *pool; /* DMP *pool; */
+ /* memory pool to store graph components */
+ char *name;
+ /* graph name (1 to 255 chars); NULL means no name is assigned
+ to the graph */
+ int nv_max;
+ /* length of the vertex list (enlarged automatically) */
+ int nv;
+ /* number of vertices in the graph, 0 <= nv <= nv_max */
+ int na;
+ /* number of arcs in the graph, na >= 0 */
+ glp_vertex **v; /* glp_vertex *v[1+nv_max]; */
+ /* v[i], 1 <= i <= nv, is a pointer to i-th vertex */
+ void *index; /* AVL *index; */
+ /* vertex index to find vertices by their names; NULL means the
+ index does not exist */
+ int v_size;
+ /* size of data associated with each vertex (0 to 256 bytes) */
+ int a_size;
+ /* size of data associated with each arc (0 to 256 bytes) */
+};
+
+struct glp_vertex
+{ /* vertex descriptor */
+ int i;
+ /* vertex ordinal number, 1 <= i <= nv */
+ char *name;
+ /* vertex name (1 to 255 chars); NULL means no name is assigned
+ to the vertex */
+ void *entry; /* AVLNODE *entry; */
+ /* pointer to corresponding entry in the vertex index; NULL means
+ that either the index does not exist or the vertex has no name
+ assigned */
+ void *data;
+ /* pointer to data associated with the vertex */
+ void *temp;
+ /* working pointer */
+ glp_arc *in;
+ /* pointer to the (unordered) list of incoming arcs */
+ glp_arc *out;
+ /* pointer to the (unordered) list of outgoing arcs */
+};
+
+struct glp_arc
+{ /* arc descriptor */
+ glp_vertex *tail;
+ /* pointer to the tail endpoint */
+ glp_vertex *head;
+ /* pointer to the head endpoint */
+ void *data;
+ /* pointer to data associated with the arc */
+ void *temp;
+ /* working pointer */
+ glp_arc *t_prev;
+ /* pointer to previous arc having the same tail endpoint */
+ glp_arc *t_next;
+ /* pointer to next arc having the same tail endpoint */
+ glp_arc *h_prev;
+ /* pointer to previous arc having the same head endpoint */
+ glp_arc *h_next;
+ /* pointer to next arc having the same head endpoint */
+};
+
+glp_graph *glp_create_graph(int v_size, int a_size);
+/* create graph */
+
+void glp_set_graph_name(glp_graph *G, const char *name);
+/* assign (change) graph name */
+
+int glp_add_vertices(glp_graph *G, int nadd);
+/* add new vertices to graph */
+
+void glp_set_vertex_name(glp_graph *G, int i, const char *name);
+/* assign (change) vertex name */
+
+glp_arc *glp_add_arc(glp_graph *G, int i, int j);
+/* add new arc to graph */
+
+void glp_del_vertices(glp_graph *G, int ndel, const int num[]);
+/* delete vertices from graph */
+
+void glp_del_arc(glp_graph *G, glp_arc *a);
+/* delete arc from graph */
+
+void glp_erase_graph(glp_graph *G, int v_size, int a_size);
+/* erase graph content */
+
+void glp_delete_graph(glp_graph *G);
+/* delete graph */
+
+void glp_create_v_index(glp_graph *G);
+/* create vertex name index */
+
+int glp_find_vertex(glp_graph *G, const char *name);
+/* find vertex by its name */
+
+void glp_delete_v_index(glp_graph *G);
+/* delete vertex name index */
+
+int glp_read_graph(glp_graph *G, const char *fname);
+/* read graph from plain text file */
+
+int glp_write_graph(glp_graph *G, const char *fname);
+/* write graph to plain text file */
+
+void glp_mincost_lp(glp_prob *P, glp_graph *G, int names, int v_rhs,
+ int a_low, int a_cap, int a_cost);
+/* convert minimum cost flow problem to LP */
+
+int glp_mincost_okalg(glp_graph *G, int v_rhs, int a_low, int a_cap,
+ int a_cost, double *sol, int a_x, int v_pi);
+/* find minimum-cost flow with out-of-kilter algorithm */
+
+int glp_mincost_relax4(glp_graph *G, int v_rhs, int a_low, int a_cap,
+ int a_cost, int crash, double *sol, int a_x, int a_rc);
+/* find minimum-cost flow with Bertsekas-Tseng relaxation method */
+
+void glp_maxflow_lp(glp_prob *P, glp_graph *G, int names, int s,
+ int t, int a_cap);
+/* convert maximum flow problem to LP */
+
+int glp_maxflow_ffalg(glp_graph *G, int s, int t, int a_cap,
+ double *sol, int a_x, int v_cut);
+/* find maximal flow with Ford-Fulkerson algorithm */
+
+int glp_check_asnprob(glp_graph *G, int v_set);
+/* check correctness of assignment problem data */
+
+/* assignment problem formulation: */
+#define GLP_ASN_MIN 1 /* perfect matching (minimization) */
+#define GLP_ASN_MAX 2 /* perfect matching (maximization) */
+#define GLP_ASN_MMP 3 /* maximum matching */
+
+int glp_asnprob_lp(glp_prob *P, int form, glp_graph *G, int names,
+ int v_set, int a_cost);
+/* convert assignment problem to LP */
+
+int glp_asnprob_okalg(int form, glp_graph *G, int v_set, int a_cost,
+ double *sol, int a_x);
+/* solve assignment problem with out-of-kilter algorithm */
+
+int glp_asnprob_hall(glp_graph *G, int v_set, int a_x);
+/* find bipartite matching of maximum cardinality */
+
+double glp_cpp(glp_graph *G, int v_t, int v_es, int v_ls);
+/* solve critical path problem */
+
+int glp_read_mincost(glp_graph *G, int v_rhs, int a_low, int a_cap,
+ int a_cost, const char *fname);
+/* read min-cost flow problem data in DIMACS format */
+
+int glp_write_mincost(glp_graph *G, int v_rhs, int a_low, int a_cap,
+ int a_cost, const char *fname);
+/* write min-cost flow problem data in DIMACS format */
+
+int glp_read_maxflow(glp_graph *G, int *s, int *t, int a_cap,
+ const char *fname);
+/* read maximum flow problem data in DIMACS format */
+
+int glp_write_maxflow(glp_graph *G, int s, int t, int a_cap,
+ const char *fname);
+/* write maximum flow problem data in DIMACS format */
+
+int glp_read_asnprob(glp_graph *G, int v_set, int a_cost, const char
+ *fname);
+/* read assignment problem data in DIMACS format */
+
+int glp_write_asnprob(glp_graph *G, int v_set, int a_cost, const char
+ *fname);
+/* write assignment problem data in DIMACS format */
+
+int glp_read_ccdata(glp_graph *G, int v_wgt, const char *fname);
+/* read graph in DIMACS clique/coloring format */
+
+int glp_write_ccdata(glp_graph *G, int v_wgt, const char *fname);
+/* write graph in DIMACS clique/coloring format */
+
+int glp_netgen(glp_graph *G, int v_rhs, int a_cap, int a_cost,
+ const int parm[1+15]);
+/* Klingman's network problem generator */
+
+void glp_netgen_prob(int nprob, int parm[1+15]);
+/* Klingman's standard network problem instance */
+
+int glp_gridgen(glp_graph *G, int v_rhs, int a_cap, int a_cost,
+ const int parm[1+14]);
+/* grid-like network problem generator */
+
+int glp_rmfgen(glp_graph *G, int *s, int *t, int a_cap,
+ const int parm[1+5]);
+/* Goldfarb's maximum flow problem generator */
+
+int glp_weak_comp(glp_graph *G, int v_num);
+/* find all weakly connected components of graph */
+
+int glp_strong_comp(glp_graph *G, int v_num);
+/* find all strongly connected components of graph */
+
+int glp_top_sort(glp_graph *G, int v_num);
+/* topological sorting of acyclic digraph */
+
+int glp_wclique_exact(glp_graph *G, int v_wgt, double *sol, int v_set);
+/* find maximum weight clique with exact algorithm */
+
+#ifdef __cplusplus
+}
+#endif
+
+#endif
+
+/* eof */