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+/* spxat.h */
+
+/***********************************************************************
+* This code is part of GLPK (GNU Linear Programming Kit).
+*
+* Copyright (C) 2015 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 SPXAT_H
+#define SPXAT_H
+
+#include "spxlp.h"
+
+typedef struct SPXAT SPXAT;
+
+struct SPXAT
+{ /* mxn-matrix A of constraint coefficients in sparse row-wise
+ * format */
+ int *ptr; /* int ptr[1+m+1]; */
+ /* ptr[0] is not used;
+ * ptr[i], 1 <= i <= m, is starting position of i-th row in
+ * arrays ind and val; note that ptr[1] is always 1;
+ * ptr[m+1] indicates the position after the last element in
+ * arrays ind and val, i.e. ptr[m+1] = nnz+1, where nnz is the
+ * number of non-zero elements in matrix A;
+ * the length of i-th row (the number of non-zero elements in
+ * that row) can be calculated as ptr[i+1] - ptr[i] */
+ int *ind; /* int ind[1+nnz]; */
+ /* column indices */
+ double *val; /* double val[1+nnz]; */
+ /* non-zero element values */
+ double *work; /* double work[1+n]; */
+ /* working array */
+};
+
+#define spx_alloc_at _glp_spx_alloc_at
+void spx_alloc_at(SPXLP *lp, SPXAT *at);
+/* allocate constraint matrix in sparse row-wise format */
+
+#define spx_build_at _glp_spx_build_at
+void spx_build_at(SPXLP *lp, SPXAT *at);
+/* build constraint matrix in sparse row-wise format */
+
+#define spx_at_prod _glp_spx_at_prod
+void spx_at_prod(SPXLP *lp, SPXAT *at, double y[/*1+n*/], double s,
+ const double x[/*1+m*/]);
+/* compute product y := y + s * A'* x */
+
+#define spx_nt_prod1 _glp_spx_nt_prod1
+void spx_nt_prod1(SPXLP *lp, SPXAT *at, double y[/*1+n-m*/], int ign,
+ double s, const double x[/*1+m*/]);
+/* compute product y := y + s * N'* x */
+
+#define spx_eval_trow1 _glp_spx_eval_trow1
+void spx_eval_trow1(SPXLP *lp, SPXAT *at, const double rho[/*1+m*/],
+ double trow[/*1+n-m*/]);
+/* compute i-th row of simplex table */
+
+#define spx_free_at _glp_spx_free_at
+void spx_free_at(SPXLP *lp, SPXAT *at);
+/* deallocate constraint matrix in sparse row-wise format */
+
+#endif
+
+/* eof */