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+/* Graph representation and manipulation functions.
+ Copyright (C) 2007
+ Free Software Foundation, Inc.
+
+This file is part of GCC.
+
+GCC 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, or (at your option) any later
+version.
+
+GCC 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 GCC; see the file COPYING3. If not see
+<http://www.gnu.org/licenses/>. */
+
+#include "config.h"
+#include "system.h"
+#include "coretypes.h"
+#include "obstack.h"
+#include "bitmap.h"
+#include "vec.h"
+#include "vecprim.h"
+#include "graphds.h"
+
+/* Dumps graph G into F. */
+
+void
+dump_graph (FILE *f, struct graph *g)
+{
+ int i;
+ struct graph_edge *e;
+
+ for (i = 0; i < g->n_vertices; i++)
+ {
+ if (!g->vertices[i].pred
+ && !g->vertices[i].succ)
+ continue;
+
+ fprintf (f, "%d (%d)\t<-", i, g->vertices[i].component);
+ for (e = g->vertices[i].pred; e; e = e->pred_next)
+ fprintf (f, " %d", e->src);
+ fprintf (f, "\n");
+
+ fprintf (f, "\t->");
+ for (e = g->vertices[i].succ; e; e = e->succ_next)
+ fprintf (f, " %d", e->dest);
+ fprintf (f, "\n");
+ }
+}
+
+/* Creates a new graph with N_VERTICES vertices. */
+
+struct graph *
+new_graph (int n_vertices)
+{
+ struct graph *g = XNEW (struct graph);
+
+ g->n_vertices = n_vertices;
+ g->vertices = XCNEWVEC (struct vertex, n_vertices);
+
+ return g;
+}
+
+/* Adds an edge from F to T to graph G. The new edge is returned. */
+
+struct graph_edge *
+add_edge (struct graph *g, int f, int t)
+{
+ struct graph_edge *e = XNEW (struct graph_edge);
+ struct vertex *vf = &g->vertices[f], *vt = &g->vertices[t];
+
+
+ e->src = f;
+ e->dest = t;
+
+ e->pred_next = vt->pred;
+ vt->pred = e;
+
+ e->succ_next = vf->succ;
+ vf->succ = e;
+
+ return e;
+}
+
+/* Moves all the edges incident with U to V. */
+
+void
+identify_vertices (struct graph *g, int v, int u)
+{
+ struct vertex *vv = &g->vertices[v];
+ struct vertex *uu = &g->vertices[u];
+ struct graph_edge *e, *next;
+
+ for (e = uu->succ; e; e = next)
+ {
+ next = e->succ_next;
+
+ e->src = v;
+ e->succ_next = vv->succ;
+ vv->succ = e;
+ }
+ uu->succ = NULL;
+
+ for (e = uu->pred; e; e = next)
+ {
+ next = e->pred_next;
+
+ e->dest = v;
+ e->pred_next = vv->pred;
+ vv->pred = e;
+ }
+ uu->pred = NULL;
+}
+
+/* Helper function for graphds_dfs. Returns the source vertex of E, in the
+ direction given by FORWARD. */
+
+static inline int
+dfs_edge_src (struct graph_edge *e, bool forward)
+{
+ return forward ? e->src : e->dest;
+}
+
+/* Helper function for graphds_dfs. Returns the destination vertex of E, in
+ the direction given by FORWARD. */
+
+static inline int
+dfs_edge_dest (struct graph_edge *e, bool forward)
+{
+ return forward ? e->dest : e->src;
+}
+
+/* Helper function for graphds_dfs. Returns the first edge after E (including
+ E), in the graph direction given by FORWARD, that belongs to SUBGRAPH. */
+
+static inline struct graph_edge *
+foll_in_subgraph (struct graph_edge *e, bool forward, bitmap subgraph)
+{
+ int d;
+
+ if (!subgraph)
+ return e;
+
+ while (e)
+ {
+ d = dfs_edge_dest (e, forward);
+ if (bitmap_bit_p (subgraph, d))
+ return e;
+
+ e = forward ? e->succ_next : e->pred_next;
+ }
+
+ return e;
+}
+
+/* Helper function for graphds_dfs. Select the first edge from V in G, in the
+ direction given by FORWARD, that belongs to SUBGRAPH. */
+
+static inline struct graph_edge *
+dfs_fst_edge (struct graph *g, int v, bool forward, bitmap subgraph)
+{
+ struct graph_edge *e;
+
+ e = (forward ? g->vertices[v].succ : g->vertices[v].pred);
+ return foll_in_subgraph (e, forward, subgraph);
+}
+
+/* Helper function for graphds_dfs. Returns the next edge after E, in the
+ graph direction given by FORWARD, that belongs to SUBGRAPH. */
+
+static inline struct graph_edge *
+dfs_next_edge (struct graph_edge *e, bool forward, bitmap subgraph)
+{
+ return foll_in_subgraph (forward ? e->succ_next : e->pred_next,
+ forward, subgraph);
+}
+
+/* Runs dfs search over vertices of G, from NQ vertices in queue QS.
+ The vertices in postorder are stored into QT. If FORWARD is false,
+ backward dfs is run. If SUBGRAPH is not NULL, it specifies the
+ subgraph of G to run DFS on. Returns the number of the components
+ of the graph (number of the restarts of DFS). */
+
+int
+graphds_dfs (struct graph *g, int *qs, int nq, VEC (int, heap) **qt,
+ bool forward, bitmap subgraph)
+{
+ int i, tick = 0, v, comp = 0, top;
+ struct graph_edge *e;
+ struct graph_edge **stack = XNEWVEC (struct graph_edge *, g->n_vertices);
+ bitmap_iterator bi;
+ unsigned av;
+
+ if (subgraph)
+ {
+ EXECUTE_IF_SET_IN_BITMAP (subgraph, 0, av, bi)
+ {
+ g->vertices[av].component = -1;
+ g->vertices[av].post = -1;
+ }
+ }
+ else
+ {
+ for (i = 0; i < g->n_vertices; i++)
+ {
+ g->vertices[i].component = -1;
+ g->vertices[i].post = -1;
+ }
+ }
+
+ for (i = 0; i < nq; i++)
+ {
+ v = qs[i];
+ if (g->vertices[v].post != -1)
+ continue;
+
+ g->vertices[v].component = comp++;
+ e = dfs_fst_edge (g, v, forward, subgraph);
+ top = 0;
+
+ while (1)
+ {
+ while (e)
+ {
+ if (g->vertices[dfs_edge_dest (e, forward)].component
+ == -1)
+ break;
+ e = dfs_next_edge (e, forward, subgraph);
+ }
+
+ if (!e)
+ {
+ if (qt)
+ VEC_safe_push (int, heap, *qt, v);
+ g->vertices[v].post = tick++;
+
+ if (!top)
+ break;
+
+ e = stack[--top];
+ v = dfs_edge_src (e, forward);
+ e = dfs_next_edge (e, forward, subgraph);
+ continue;
+ }
+
+ stack[top++] = e;
+ v = dfs_edge_dest (e, forward);
+ e = dfs_fst_edge (g, v, forward, subgraph);
+ g->vertices[v].component = comp - 1;
+ }
+ }
+
+ free (stack);
+
+ return comp;
+}
+
+/* Determines the strongly connected components of G, using the algorithm of
+ Tarjan -- first determine the postorder dfs numbering in reversed graph,
+ then run the dfs on the original graph in the order given by decreasing
+ numbers assigned by the previous pass. If SUBGRAPH is not NULL, it
+ specifies the subgraph of G whose strongly connected components we want
+ to determine.
+
+ After running this function, v->component is the number of the strongly
+ connected component for each vertex of G. Returns the number of the
+ sccs of G. */
+
+int
+graphds_scc (struct graph *g, bitmap subgraph)
+{
+ int *queue = XNEWVEC (int, g->n_vertices);
+ VEC (int, heap) *postorder = NULL;
+ int nq, i, comp;
+ unsigned v;
+ bitmap_iterator bi;
+
+ if (subgraph)
+ {
+ nq = 0;
+ EXECUTE_IF_SET_IN_BITMAP (subgraph, 0, v, bi)
+ {
+ queue[nq++] = v;
+ }
+ }
+ else
+ {
+ for (i = 0; i < g->n_vertices; i++)
+ queue[i] = i;
+ nq = g->n_vertices;
+ }
+
+ graphds_dfs (g, queue, nq, &postorder, false, subgraph);
+ gcc_assert (VEC_length (int, postorder) == (unsigned) nq);
+
+ for (i = 0; i < nq; i++)
+ queue[i] = VEC_index (int, postorder, nq - i - 1);
+ comp = graphds_dfs (g, queue, nq, NULL, true, subgraph);
+
+ free (queue);
+ VEC_free (int, heap, postorder);
+
+ return comp;
+}
+
+/* Runs CALLBACK for all edges in G. */
+
+void
+for_each_edge (struct graph *g, graphds_edge_callback callback)
+{
+ struct graph_edge *e;
+ int i;
+
+ for (i = 0; i < g->n_vertices; i++)
+ for (e = g->vertices[i].succ; e; e = e->succ_next)
+ callback (g, e);
+}
+
+/* Releases the memory occupied by G. */
+
+void
+free_graph (struct graph *g)
+{
+ struct graph_edge *e, *n;
+ struct vertex *v;
+ int i;
+
+ for (i = 0; i < g->n_vertices; i++)
+ {
+ v = &g->vertices[i];
+ for (e = v->succ; e; e = n)
+ {
+ n = e->succ_next;
+ free (e);
+ }
+ }
+ free (g->vertices);
+ free (g);
+}
+
+/* Returns the nearest common ancestor of X and Y in tree whose parent
+ links are given by PARENT. MARKS is the array used to mark the
+ vertices of the tree, and MARK is the number currently used as a mark. */
+
+static int
+tree_nca (int x, int y, int *parent, int *marks, int mark)
+{
+ if (x == -1 || x == y)
+ return y;
+
+ /* We climb with X and Y up the tree, marking the visited nodes. When
+ we first arrive to a marked node, it is the common ancestor. */
+ marks[x] = mark;
+ marks[y] = mark;
+
+ while (1)
+ {
+ x = parent[x];
+ if (x == -1)
+ break;
+ if (marks[x] == mark)
+ return x;
+ marks[x] = mark;
+
+ y = parent[y];
+ if (y == -1)
+ break;
+ if (marks[y] == mark)
+ return y;
+ marks[y] = mark;
+ }
+
+ /* If we reached the root with one of the vertices, continue
+ with the other one till we reach the marked part of the
+ tree. */
+ if (x == -1)
+ {
+ for (y = parent[y]; marks[y] != mark; y = parent[y])
+ continue;
+
+ return y;
+ }
+ else
+ {
+ for (x = parent[x]; marks[x] != mark; x = parent[x])
+ continue;
+
+ return x;
+ }
+}
+
+/* Determines the dominance tree of G (stored in the PARENT, SON and BROTHER
+ arrays), where the entry node is ENTRY. */
+
+void
+graphds_domtree (struct graph *g, int entry,
+ int *parent, int *son, int *brother)
+{
+ VEC (int, heap) *postorder = NULL;
+ int *marks = XCNEWVEC (int, g->n_vertices);
+ int mark = 1, i, v, idom;
+ bool changed = true;
+ struct graph_edge *e;
+
+ /* We use a slight modification of the standard iterative algorithm, as
+ described in
+
+ K. D. Cooper, T. J. Harvey and K. Kennedy: A Simple, Fast Dominance
+ Algorithm
+
+ sort vertices in reverse postorder
+ foreach v
+ dom(v) = everything
+ dom(entry) = entry;
+
+ while (anything changes)
+ foreach v
+ dom(v) = {v} union (intersection of dom(p) over all predecessors of v)
+
+ The sets dom(v) are represented by the parent links in the current version
+ of the dominance tree. */
+
+ for (i = 0; i < g->n_vertices; i++)
+ {
+ parent[i] = -1;
+ son[i] = -1;
+ brother[i] = -1;
+ }
+ graphds_dfs (g, &entry, 1, &postorder, true, NULL);
+ gcc_assert (VEC_length (int, postorder) == (unsigned) g->n_vertices);
+ gcc_assert (VEC_index (int, postorder, g->n_vertices - 1) == entry);
+
+ while (changed)
+ {
+ changed = false;
+
+ for (i = g->n_vertices - 2; i >= 0; i--)
+ {
+ v = VEC_index (int, postorder, i);
+ idom = -1;
+ for (e = g->vertices[v].pred; e; e = e->pred_next)
+ {
+ if (e->src != entry
+ && parent[e->src] == -1)
+ continue;
+
+ idom = tree_nca (idom, e->src, parent, marks, mark++);
+ }
+
+ if (idom != parent[v])
+ {
+ parent[v] = idom;
+ changed = true;
+ }
+ }
+ }
+
+ free (marks);
+ VEC_free (int, heap, postorder);
+
+ for (i = 0; i < g->n_vertices; i++)
+ if (parent[i] != -1)
+ {
+ brother[i] = son[parent[i]];
+ son[parent[i]] = i;
+ }
+}