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+/* graph.c (basic graph routines) */
+
+/***********************************************************************
+* This code is part of GLPK (GNU Linear Programming Kit).
+*
+* Copyright (C) 2009-2016 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/>.
+***********************************************************************/
+
+#include "avl.h"
+#include "dmp.h"
+#include "env.h"
+#include "glpk.h"
+
+/* CAUTION: DO NOT CHANGE THE LIMITS BELOW */
+
+#define NV_MAX 100000000 /* = 100*10^6 */
+/* maximal number of vertices in the graph */
+
+#define NA_MAX 500000000 /* = 500*10^6 */
+/* maximal number of arcs in the graph */
+
+/***********************************************************************
+* NAME
+*
+* glp_create_graph - create graph
+*
+* SYNOPSIS
+*
+* glp_graph *glp_create_graph(int v_size, int a_size);
+*
+* DESCRIPTION
+*
+* The routine creates a new graph, which initially is empty, i.e. has
+* no vertices and arcs.
+*
+* The parameter v_size specifies the size of data associated with each
+* vertex of the graph (0 to 256 bytes).
+*
+* The parameter a_size specifies the size of data associated with each
+* arc of the graph (0 to 256 bytes).
+*
+* RETURNS
+*
+* The routine returns a pointer to the graph created. */
+
+static void create_graph(glp_graph *G, int v_size, int a_size)
+{ G->pool = dmp_create_pool();
+ G->name = NULL;
+ G->nv_max = 50;
+ G->nv = G->na = 0;
+ G->v = xcalloc(1+G->nv_max, sizeof(glp_vertex *));
+ G->index = NULL;
+ G->v_size = v_size;
+ G->a_size = a_size;
+ return;
+}
+
+glp_graph *glp_create_graph(int v_size, int a_size)
+{ glp_graph *G;
+ if (!(0 <= v_size && v_size <= 256))
+ xerror("glp_create_graph: v_size = %d; invalid size of vertex "
+ "data\n", v_size);
+ if (!(0 <= a_size && a_size <= 256))
+ xerror("glp_create_graph: a_size = %d; invalid size of arc dat"
+ "a\n", a_size);
+ G = xmalloc(sizeof(glp_graph));
+ create_graph(G, v_size, a_size);
+ return G;
+}
+
+/***********************************************************************
+* NAME
+*
+* glp_set_graph_name - assign (change) graph name
+*
+* SYNOPSIS
+*
+* void glp_set_graph_name(glp_graph *G, const char *name);
+*
+* DESCRIPTION
+*
+* The routine glp_set_graph_name assigns a symbolic name specified by
+* the character string name (1 to 255 chars) to the graph.
+*
+* If the parameter name is NULL or an empty string, the routine erases
+* the existing symbolic name of the graph. */
+
+void glp_set_graph_name(glp_graph *G, const char *name)
+{ if (G->name != NULL)
+ { dmp_free_atom(G->pool, G->name, strlen(G->name)+1);
+ G->name = NULL;
+ }
+ if (!(name == NULL || name[0] == '\0'))
+ { int j;
+ for (j = 0; name[j] != '\0'; j++)
+ { if (j == 256)
+ xerror("glp_set_graph_name: graph name too long\n");
+ if (iscntrl((unsigned char)name[j]))
+ xerror("glp_set_graph_name: graph name contains invalid "
+ "character(s)\n");
+ }
+ G->name = dmp_get_atom(G->pool, strlen(name)+1);
+ strcpy(G->name, name);
+ }
+ return;
+}
+
+/***********************************************************************
+* NAME
+*
+* glp_add_vertices - add new vertices to graph
+*
+* SYNOPSIS
+*
+* int glp_add_vertices(glp_graph *G, int nadd);
+*
+* DESCRIPTION
+*
+* The routine glp_add_vertices adds nadd vertices to the specified
+* graph. New vertices are always added to the end of the vertex list,
+* so ordinal numbers of existing vertices remain unchanged.
+*
+* Being added each new vertex is isolated (has no incident arcs).
+*
+* RETURNS
+*
+* The routine glp_add_vertices returns an ordinal number of the first
+* new vertex added to the graph. */
+
+int glp_add_vertices(glp_graph *G, int nadd)
+{ int i, nv_new;
+ if (nadd < 1)
+ xerror("glp_add_vertices: nadd = %d; invalid number of vertice"
+ "s\n", nadd);
+ if (nadd > NV_MAX - G->nv)
+ xerror("glp_add_vertices: nadd = %d; too many vertices\n",
+ nadd);
+ /* determine new number of vertices */
+ nv_new = G->nv + nadd;
+ /* increase the room, if necessary */
+ if (G->nv_max < nv_new)
+ { glp_vertex **save = G->v;
+ while (G->nv_max < nv_new)
+ { G->nv_max += G->nv_max;
+ xassert(G->nv_max > 0);
+ }
+ G->v = xcalloc(1+G->nv_max, sizeof(glp_vertex *));
+ memcpy(&G->v[1], &save[1], G->nv * sizeof(glp_vertex *));
+ xfree(save);
+ }
+ /* add new vertices to the end of the vertex list */
+ for (i = G->nv+1; i <= nv_new; i++)
+ { glp_vertex *v;
+ G->v[i] = v = dmp_get_atom(G->pool, sizeof(glp_vertex));
+ v->i = i;
+ v->name = NULL;
+ v->entry = NULL;
+ if (G->v_size == 0)
+ v->data = NULL;
+ else
+ { v->data = dmp_get_atom(G->pool, G->v_size);
+ memset(v->data, 0, G->v_size);
+ }
+ v->temp = NULL;
+ v->in = v->out = NULL;
+ }
+ /* set new number of vertices */
+ G->nv = nv_new;
+ /* return the ordinal number of the first vertex added */
+ return nv_new - nadd + 1;
+}
+
+/**********************************************************************/
+
+void glp_set_vertex_name(glp_graph *G, int i, const char *name)
+{ /* assign (change) vertex name */
+ glp_vertex *v;
+ if (!(1 <= i && i <= G->nv))
+ xerror("glp_set_vertex_name: i = %d; vertex number out of rang"
+ "e\n", i);
+ v = G->v[i];
+ if (v->name != NULL)
+ { if (v->entry != NULL)
+ { xassert(G->index != NULL);
+ avl_delete_node(G->index, v->entry);
+ v->entry = NULL;
+ }
+ dmp_free_atom(G->pool, v->name, strlen(v->name)+1);
+ v->name = NULL;
+ }
+ if (!(name == NULL || name[0] == '\0'))
+ { int k;
+ for (k = 0; name[k] != '\0'; k++)
+ { if (k == 256)
+ xerror("glp_set_vertex_name: i = %d; vertex name too lon"
+ "g\n", i);
+ if (iscntrl((unsigned char)name[k]))
+ xerror("glp_set_vertex_name: i = %d; vertex name contain"
+ "s invalid character(s)\n", i);
+ }
+ v->name = dmp_get_atom(G->pool, strlen(name)+1);
+ strcpy(v->name, name);
+ if (G->index != NULL)
+ { xassert(v->entry == NULL);
+ v->entry = avl_insert_node(G->index, v->name);
+ avl_set_node_link(v->entry, v);
+ }
+ }
+ return;
+}
+
+/***********************************************************************
+* NAME
+*
+* glp_add_arc - add new arc to graph
+*
+* SYNOPSIS
+*
+* glp_arc *glp_add_arc(glp_graph *G, int i, int j);
+*
+* DESCRIPTION
+*
+* The routine glp_add_arc adds a new arc to the specified graph.
+*
+* The parameters i and j specify the ordinal numbers of, resp., tail
+* and head vertices of the arc. Note that self-loops and multiple arcs
+* are allowed.
+*
+* RETURNS
+*
+* The routine glp_add_arc returns a pointer to the arc added. */
+
+glp_arc *glp_add_arc(glp_graph *G, int i, int j)
+{ glp_arc *a;
+ if (!(1 <= i && i <= G->nv))
+ xerror("glp_add_arc: i = %d; tail vertex number out of range\n"
+ , i);
+ if (!(1 <= j && j <= G->nv))
+ xerror("glp_add_arc: j = %d; head vertex number out of range\n"
+ , j);
+ if (G->na == NA_MAX)
+ xerror("glp_add_arc: too many arcs\n");
+ a = dmp_get_atom(G->pool, sizeof(glp_arc));
+ a->tail = G->v[i];
+ a->head = G->v[j];
+ if (G->a_size == 0)
+ a->data = NULL;
+ else
+ { a->data = dmp_get_atom(G->pool, G->a_size);
+ memset(a->data, 0, G->a_size);
+ }
+ a->temp = NULL;
+ a->t_prev = NULL;
+ a->t_next = G->v[i]->out;
+ if (a->t_next != NULL) a->t_next->t_prev = a;
+ a->h_prev = NULL;
+ a->h_next = G->v[j]->in;
+ if (a->h_next != NULL) a->h_next->h_prev = a;
+ G->v[i]->out = G->v[j]->in = a;
+ G->na++;
+ return a;
+}
+
+/***********************************************************************
+* NAME
+*
+* glp_del_vertices - delete vertices from graph
+*
+* SYNOPSIS
+*
+* void glp_del_vertices(glp_graph *G, int ndel, const int num[]);
+*
+* DESCRIPTION
+*
+* The routine glp_del_vertices deletes vertices along with all
+* incident arcs from the specified graph. Ordinal numbers of vertices
+* to be deleted should be placed in locations num[1], ..., num[ndel],
+* ndel > 0.
+*
+* Note that deleting vertices involves changing ordinal numbers of
+* other vertices remaining in the graph. New ordinal numbers of the
+* remaining vertices are assigned under the assumption that the
+* original order of vertices is not changed. */
+
+void glp_del_vertices(glp_graph *G, int ndel, const int num[])
+{ glp_vertex *v;
+ int i, k, nv_new;
+ /* scan the list of vertices to be deleted */
+ if (!(1 <= ndel && ndel <= G->nv))
+ xerror("glp_del_vertices: ndel = %d; invalid number of vertice"
+ "s\n", ndel);
+ for (k = 1; k <= ndel; k++)
+ { /* take the number of vertex to be deleted */
+ i = num[k];
+ /* obtain pointer to i-th vertex */
+ if (!(1 <= i && i <= G->nv))
+ xerror("glp_del_vertices: num[%d] = %d; vertex number out o"
+ "f range\n", k, i);
+ v = G->v[i];
+ /* check that the vertex is not marked yet */
+ if (v->i == 0)
+ xerror("glp_del_vertices: num[%d] = %d; duplicate vertex nu"
+ "mbers not allowed\n", k, i);
+ /* erase symbolic name assigned to the vertex */
+ glp_set_vertex_name(G, i, NULL);
+ xassert(v->name == NULL);
+ xassert(v->entry == NULL);
+ /* free vertex data, if allocated */
+ if (v->data != NULL)
+ dmp_free_atom(G->pool, v->data, G->v_size);
+ /* delete all incoming arcs */
+ while (v->in != NULL)
+ glp_del_arc(G, v->in);
+ /* delete all outgoing arcs */
+ while (v->out != NULL)
+ glp_del_arc(G, v->out);
+ /* mark the vertex to be deleted */
+ v->i = 0;
+ }
+ /* delete all marked vertices from the vertex list */
+ nv_new = 0;
+ for (i = 1; i <= G->nv; i++)
+ { /* obtain pointer to i-th vertex */
+ v = G->v[i];
+ /* check if the vertex is marked */
+ if (v->i == 0)
+ { /* it is marked, delete it */
+ dmp_free_atom(G->pool, v, sizeof(glp_vertex));
+ }
+ else
+ { /* it is not marked, keep it */
+ v->i = ++nv_new;
+ G->v[v->i] = v;
+ }
+ }
+ /* set new number of vertices in the graph */
+ G->nv = nv_new;
+ return;
+}
+
+/***********************************************************************
+* NAME
+*
+* glp_del_arc - delete arc from graph
+*
+* SYNOPSIS
+*
+* void glp_del_arc(glp_graph *G, glp_arc *a);
+*
+* DESCRIPTION
+*
+* The routine glp_del_arc deletes an arc from the specified graph.
+* The arc to be deleted must exist. */
+
+void glp_del_arc(glp_graph *G, glp_arc *a)
+{ /* some sanity checks */
+ xassert(G->na > 0);
+ xassert(1 <= a->tail->i && a->tail->i <= G->nv);
+ xassert(a->tail == G->v[a->tail->i]);
+ xassert(1 <= a->head->i && a->head->i <= G->nv);
+ xassert(a->head == G->v[a->head->i]);
+ /* remove the arc from the list of incoming arcs */
+ if (a->h_prev == NULL)
+ a->head->in = a->h_next;
+ else
+ a->h_prev->h_next = a->h_next;
+ if (a->h_next == NULL)
+ ;
+ else
+ a->h_next->h_prev = a->h_prev;
+ /* remove the arc from the list of outgoing arcs */
+ if (a->t_prev == NULL)
+ a->tail->out = a->t_next;
+ else
+ a->t_prev->t_next = a->t_next;
+ if (a->t_next == NULL)
+ ;
+ else
+ a->t_next->t_prev = a->t_prev;
+ /* free arc data, if allocated */
+ if (a->data != NULL)
+ dmp_free_atom(G->pool, a->data, G->a_size);
+ /* delete the arc from the graph */
+ dmp_free_atom(G->pool, a, sizeof(glp_arc));
+ G->na--;
+ return;
+}
+
+/***********************************************************************
+* NAME
+*
+* glp_erase_graph - erase graph content
+*
+* SYNOPSIS
+*
+* void glp_erase_graph(glp_graph *G, int v_size, int a_size);
+*
+* DESCRIPTION
+*
+* The routine glp_erase_graph erases the content of the specified
+* graph. The effect of this operation is the same as if the graph
+* would be deleted with the routine glp_delete_graph and then created
+* anew with the routine glp_create_graph, with exception that the
+* handle (pointer) to the graph remains valid. */
+
+static void delete_graph(glp_graph *G)
+{ dmp_delete_pool(G->pool);
+ xfree(G->v);
+ if (G->index != NULL) avl_delete_tree(G->index);
+ return;
+}
+
+void glp_erase_graph(glp_graph *G, int v_size, int a_size)
+{ if (!(0 <= v_size && v_size <= 256))
+ xerror("glp_erase_graph: v_size = %d; invalid size of vertex d"
+ "ata\n", v_size);
+ if (!(0 <= a_size && a_size <= 256))
+ xerror("glp_erase_graph: a_size = %d; invalid size of arc data"
+ "\n", a_size);
+ delete_graph(G);
+ create_graph(G, v_size, a_size);
+ return;
+}
+
+/***********************************************************************
+* NAME
+*
+* glp_delete_graph - delete graph
+*
+* SYNOPSIS
+*
+* void glp_delete_graph(glp_graph *G);
+*
+* DESCRIPTION
+*
+* The routine glp_delete_graph deletes the specified graph and frees
+* all the memory allocated to this program object. */
+
+void glp_delete_graph(glp_graph *G)
+{ delete_graph(G);
+ xfree(G);
+ return;
+}
+
+/**********************************************************************/
+
+void glp_create_v_index(glp_graph *G)
+{ /* create vertex name index */
+ glp_vertex *v;
+ int i;
+ if (G->index == NULL)
+ { G->index = avl_create_tree(avl_strcmp, NULL);
+ for (i = 1; i <= G->nv; i++)
+ { v = G->v[i];
+ xassert(v->entry == NULL);
+ if (v->name != NULL)
+ { v->entry = avl_insert_node(G->index, v->name);
+ avl_set_node_link(v->entry, v);
+ }
+ }
+ }
+ return;
+}
+
+int glp_find_vertex(glp_graph *G, const char *name)
+{ /* find vertex by its name */
+ AVLNODE *node;
+ int i = 0;
+ if (G->index == NULL)
+ xerror("glp_find_vertex: vertex name index does not exist\n");
+ if (!(name == NULL || name[0] == '\0' || strlen(name) > 255))
+ { node = avl_find_node(G->index, name);
+ if (node != NULL)
+ i = ((glp_vertex *)avl_get_node_link(node))->i;
+ }
+ return i;
+}
+
+void glp_delete_v_index(glp_graph *G)
+{ /* delete vertex name index */
+ int i;
+ if (G->index != NULL)
+ { avl_delete_tree(G->index), G->index = NULL;
+ for (i = 1; i <= G->nv; i++) G->v[i]->entry = NULL;
+ }
+ return;
+}
+
+/* eof */