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0e4d5753 1/* Binary relations.
26a69b31 2 Copyright (C) 2002, 2004, 2005 Free Software Foundation, Inc.
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3
4 This file is part of Bison, the GNU Compiler Compiler.
5
f16b0819 6 This program is free software: you can redistribute it and/or modify
0e4d5753 7 it under the terms of the GNU General Public License as published by
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8 the Free Software Foundation, either version 3 of the License, or
9 (at your option) any later version.
0e4d5753 10
f16b0819 11 This program is distributed in the hope that it will be useful,
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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
f16b0819 17 along with this program. If not, see <http://www.gnu.org/licenses/>. */
0e4d5753 18
2cec9080 19#include <config.h>
0e4d5753 20#include "system.h"
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21
22#include <bitsetv.h>
23
0e4d5753 24#include "getargs.h"
17ee7397 25#include "relation.h"
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26
27void
7b21ee09 28relation_print (relation r, relation_node size, FILE *out)
0e4d5753 29{
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30 relation_node i;
31 relation_node j;
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32
33 for (i = 0; i < size; ++i)
34 {
7b21ee09 35 fprintf (out, "%3lu: ", (unsigned long int) i);
17ee7397 36 if (r[i])
0859e438 37 for (j = 0; r[i][j] != END_NODE; ++j)
7b21ee09 38 fprintf (out, "%3lu ", (unsigned long int) r[i][j]);
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39 fputc ('\n', out);
40 }
41 fputc ('\n', out);
42}
43
44
45/*---------------------------------------------------------------.
46| digraph & traverse. |
47| |
48| The following variables are used as common storage between the |
49| two. |
50`---------------------------------------------------------------*/
51
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52static relation R;
53static relation_nodes INDEX;
54static relation_nodes VERTICES;
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55static relation_node top;
56static relation_node infinity;
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57static bitsetv F;
58
59static void
7b21ee09 60traverse (relation_node i)
0e4d5753 61{
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62 relation_node j;
63 relation_node height;
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64
65 VERTICES[++top] = i;
66 INDEX[i] = height = top;
67
68 if (R[i])
0859e438 69 for (j = 0; R[i][j] != END_NODE; ++j)
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70 {
71 if (INDEX[R[i][j]] == 0)
72 traverse (R[i][j]);
73
74 if (INDEX[i] > INDEX[R[i][j]])
75 INDEX[i] = INDEX[R[i][j]];
76
77 bitset_or (F[i], F[i], F[R[i][j]]);
78 }
79
80 if (INDEX[i] == height)
81 for (;;)
82 {
83 j = VERTICES[top--];
84 INDEX[j] = infinity;
85
86 if (i == j)
87 break;
88
89 bitset_copy (F[j], F[i]);
90 }
91}
92
93
94void
7b21ee09 95relation_digraph (relation r, relation_node size, bitsetv *function)
0e4d5753 96{
7b21ee09 97 relation_node i;
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98
99 infinity = size + 2;
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100 INDEX = xcalloc (size + 1, sizeof *INDEX);
101 VERTICES = xnmalloc (size + 1, sizeof *VERTICES);
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102 top = 0;
103
17ee7397 104 R = r;
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105 F = *function;
106
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107 for (i = 0; i < size; i++)
108 if (INDEX[i] == 0 && R[i])
109 traverse (i);
110
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111 free (INDEX);
112 free (VERTICES);
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113
114 *function = F;
115}
116
117
118/*-------------------------------------------.
119| Destructively transpose R_ARG, of size N. |
120`-------------------------------------------*/
121
122void
7b21ee09 123relation_transpose (relation *R_arg, relation_node n)
0e4d5753 124{
26a69b31 125 relation r = *R_arg;
0e4d5753 126 /* The result. */
da2a7671 127 relation new_R = xnmalloc (n, sizeof *new_R);
0e4d5753 128 /* END_R[I] -- next entry of NEW_R[I]. */
da2a7671 129 relation end_R = xnmalloc (n, sizeof *end_R);
0e4d5753 130 /* NEDGES[I] -- total size of NEW_R[I]. */
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131 size_t *nedges = xcalloc (n, sizeof *nedges);
132 relation_node i;
133 relation_node j;
0e4d5753 134
273a74fa 135 if (trace_flag & trace_sets)
0e4d5753 136 {
427c0dda 137 fputs ("relation_transpose: input\n", stderr);
26a69b31 138 relation_print (r, n, stderr);
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139 }
140
141 /* Count. */
142 for (i = 0; i < n; i++)
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143 if (r[i])
144 for (j = 0; r[i][j] != END_NODE; ++j)
145 ++nedges[r[i][j]];
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146
147 /* Allocate. */
148 for (i = 0; i < n; i++)
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149 {
150 relation_node *sp = NULL;
151 if (nedges[i] > 0)
152 {
153 sp = xnmalloc (nedges[i] + 1, sizeof *sp);
154 sp[nedges[i]] = END_NODE;
155 }
156 new_R[i] = sp;
157 end_R[i] = sp;
158 }
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159
160 /* Store. */
161 for (i = 0; i < n; i++)
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162 if (r[i])
163 for (j = 0; r[i][j] != END_NODE; ++j)
164 *end_R[r[i][j]]++ = i;
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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++)
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171 free (r[i]);
172 free (r);
0e4d5753 173
273a74fa 174 if (trace_flag & trace_sets)
0e4d5753 175 {
427c0dda 176 fputs ("relation_transpose: output\n", stderr);
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177 relation_print (new_R, n, stderr);
178 }
179
180 *R_arg = new_R;
181}