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1/* Binary relations.
2 Copyright (C) 2002 Free Software Foundation, Inc.
3
4 This file is part of Bison, the GNU Compiler Compiler.
5
6 Bison is free software; you can redistribute it and/or modify
7 it under the terms of the GNU General Public License as published by
8 the Free Software Foundation; either version 2, or (at your option)
9 any later version.
10
11 Bison is distributed in the hope that it will be useful,
12 but WITHOUT ANY WARRANTY; without even the implied warranty of
13 MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
14 GNU General Public License for more details.
15
16 You should have received a copy of the GNU General Public License
17 along with Bison; see the file COPYING. If not, write to
18 the Free Software Foundation, Inc., 59 Temple Place - Suite 330,
19 Boston, MA 02111-1307, USA. */
20
21#include "system.h"
22#include "bitsetv.h"
23#include "relation.h"
24#include "getargs.h"
25
26void
27relation_print (relation_t relation, size_t size, FILE *out)
28{
29 unsigned i, j;
30
31 for (i = 0; i < size; ++i)
32 {
33 fprintf (out, "%3d: ", i);
34 if (relation[i])
35 for (j = 0; relation[i][j] != -1; ++j)
36 fprintf (out, "%3d ", relation[i][j]);
37 fputc ('\n', out);
38 }
39 fputc ('\n', out);
40}
41
42
43/*---------------------------------------------------------------.
44| digraph & traverse. |
45| |
46| The following variables are used as common storage between the |
47| two. |
48`---------------------------------------------------------------*/
49
50static relation_t R;
51static relation_nodes_t INDEX;
52static relation_nodes_t VERTICES;
53static int top;
54static int infinity;
55static bitsetv F;
56
57static void
58traverse (int i)
59{
60 int j;
61 int height;
62
63 VERTICES[++top] = i;
64 INDEX[i] = height = top;
65
66 if (R[i])
67 for (j = 0; R[i][j] >= 0; ++j)
68 {
69 if (INDEX[R[i][j]] == 0)
70 traverse (R[i][j]);
71
72 if (INDEX[i] > INDEX[R[i][j]])
73 INDEX[i] = INDEX[R[i][j]];
74
75 bitset_or (F[i], F[i], F[R[i][j]]);
76 }
77
78 if (INDEX[i] == height)
79 for (;;)
80 {
81 j = VERTICES[top--];
82 INDEX[j] = infinity;
83
84 if (i == j)
85 break;
86
87 bitset_copy (F[j], F[i]);
88 }
89}
90
91
92void
93relation_digraph (relation_t relation, size_t size,
94 bitsetv *function)
95{
96 unsigned i;
97
98 infinity = size + 2;
99 INDEX = XCALLOC (relation_node_t, size + 1);
100 VERTICES = XCALLOC (relation_node_t, size + 1);
101 top = 0;
102
103 R = relation;
104 F = *function;
105
106 for (i = 0; i < size; i++)
107 INDEX[i] = 0;
108
109 for (i = 0; i < size; i++)
110 if (INDEX[i] == 0 && R[i])
111 traverse (i);
112
113 XFREE (INDEX);
114 XFREE (VERTICES);
115
116 *function = F;
117}
118
119
120/*-------------------------------------------.
121| Destructively transpose R_ARG, of size N. |
122`-------------------------------------------*/
123
124void
125relation_transpose (relation_t *R_arg, int n)
126{
127 /* The result. */
128 relation_t new_R = XCALLOC (relation_nodes_t, n);
129 /* END_R[I] -- next entry of NEW_R[I]. */
130 relation_t end_R = XCALLOC (relation_nodes_t, n);
131 /* NEDGES[I] -- total size of NEW_R[I]. */
132 int *nedges = XCALLOC (int, n);
133 int i, j;
134
135 if (trace_flag)
136 {
137 fputs ("relation_transpose: input\n", stderr);
138 relation_print (*R_arg, n, stderr);
139 }
140
141 /* Count. */
142 for (i = 0; i < n; i++)
143 if ((*R_arg)[i])
144 for (j = 0; (*R_arg)[i][j] >= 0; ++j)
145 ++nedges[(*R_arg)[i][j]];
146
147 /* Allocate. */
148 for (i = 0; i < n; i++)
149 if (nedges[i] > 0)
150 {
151 relation_node_t *sp = XCALLOC (relation_node_t, nedges[i] + 1);
152 sp[nedges[i]] = -1;
153 new_R[i] = sp;
154 end_R[i] = sp;
155 }
156
157 /* Store. */
158 for (i = 0; i < n; i++)
159 if ((*R_arg)[i])
160 for (j = 0; (*R_arg)[i][j] >= 0; ++j)
161 {
162 *end_R[(*R_arg)[i][j]] = i;
163 ++end_R[(*R_arg)[i][j]];
164 }
165
166 free (nedges);
167 free (end_R);
168
169 /* Free the input: it is replaced with the result. */
170 for (i = 0; i < n; i++)
171 XFREE ((*R_arg)[i]);
172 free (*R_arg);
173
174 if (trace_flag)
175 {
176 fputs ("relation_transpose: output\n", stderr);
177 relation_print (new_R, n, stderr);
178 }
179
180 *R_arg = new_R;
181}