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0e4d5753 1/* Binary relations.
6e30ede8 2
c932d613 3 Copyright (C) 2002, 2004-2005, 2009-2012 Free Software Foundation,
ea0a7676 4 Inc.
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5
6 This file is part of Bison, the GNU Compiler Compiler.
7
f16b0819 8 This program is free software: you can redistribute it and/or modify
0e4d5753 9 it under the terms of the GNU General Public License as published by
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10 the Free Software Foundation, either version 3 of the License, or
11 (at your option) any later version.
0e4d5753 12
f16b0819 13 This program is distributed in the hope that it will be useful,
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14 but WITHOUT ANY WARRANTY; without even the implied warranty of
15 MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
16 GNU General Public License for more details.
17
18 You should have received a copy of the GNU General Public License
f16b0819 19 along with this program. If not, see <http://www.gnu.org/licenses/>. */
0e4d5753 20
2cec9080 21#include <config.h>
0e4d5753 22#include "system.h"
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23
24#include <bitsetv.h>
25
0e4d5753 26#include "getargs.h"
17ee7397 27#include "relation.h"
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28
29void
7b21ee09 30relation_print (relation r, relation_node size, FILE *out)
0e4d5753 31{
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32 relation_node i;
33 relation_node j;
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34
35 for (i = 0; i < size; ++i)
36 {
7b21ee09 37 fprintf (out, "%3lu: ", (unsigned long int) i);
17ee7397 38 if (r[i])
0859e438 39 for (j = 0; r[i][j] != END_NODE; ++j)
7b21ee09 40 fprintf (out, "%3lu ", (unsigned long int) r[i][j]);
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41 fputc ('\n', out);
42 }
43 fputc ('\n', out);
44}
45
46
47/*---------------------------------------------------------------.
48| digraph & traverse. |
49| |
50| The following variables are used as common storage between the |
51| two. |
52`---------------------------------------------------------------*/
53
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54static relation R;
55static relation_nodes INDEX;
56static relation_nodes VERTICES;
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57static relation_node top;
58static relation_node infinity;
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59static bitsetv F;
60
61static void
7b21ee09 62traverse (relation_node i)
0e4d5753 63{
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64 relation_node j;
65 relation_node height;
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66
67 VERTICES[++top] = i;
68 INDEX[i] = height = top;
69
70 if (R[i])
0859e438 71 for (j = 0; R[i][j] != END_NODE; ++j)
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72 {
73 if (INDEX[R[i][j]] == 0)
74 traverse (R[i][j]);
75
76 if (INDEX[i] > INDEX[R[i][j]])
77 INDEX[i] = INDEX[R[i][j]];
78
79 bitset_or (F[i], F[i], F[R[i][j]]);
80 }
81
82 if (INDEX[i] == height)
83 for (;;)
84 {
85 j = VERTICES[top--];
86 INDEX[j] = infinity;
87
88 if (i == j)
89 break;
90
91 bitset_copy (F[j], F[i]);
92 }
93}
94
95
96void
7b21ee09 97relation_digraph (relation r, relation_node size, bitsetv *function)
0e4d5753 98{
7b21ee09 99 relation_node i;
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100
101 infinity = size + 2;
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102 INDEX = xcalloc (size + 1, sizeof *INDEX);
103 VERTICES = xnmalloc (size + 1, sizeof *VERTICES);
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104 top = 0;
105
17ee7397 106 R = r;
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107 F = *function;
108
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109 for (i = 0; i < size; i++)
110 if (INDEX[i] == 0 && R[i])
111 traverse (i);
112
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113 free (INDEX);
114 free (VERTICES);
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115
116 *function = F;
117}
118
119
120/*-------------------------------------------.
121| Destructively transpose R_ARG, of size N. |
122`-------------------------------------------*/
123
124void
7b21ee09 125relation_transpose (relation *R_arg, relation_node n)
0e4d5753 126{
26a69b31 127 relation r = *R_arg;
0e4d5753 128 /* The result. */
da2a7671 129 relation new_R = xnmalloc (n, sizeof *new_R);
0e4d5753 130 /* END_R[I] -- next entry of NEW_R[I]. */
da2a7671 131 relation end_R = xnmalloc (n, sizeof *end_R);
0e4d5753 132 /* NEDGES[I] -- total size of NEW_R[I]. */
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133 size_t *nedges = xcalloc (n, sizeof *nedges);
134 relation_node i;
135 relation_node j;
0e4d5753 136
273a74fa 137 if (trace_flag & trace_sets)
0e4d5753 138 {
427c0dda 139 fputs ("relation_transpose: input\n", stderr);
26a69b31 140 relation_print (r, n, stderr);
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141 }
142
143 /* Count. */
144 for (i = 0; i < n; i++)
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145 if (r[i])
146 for (j = 0; r[i][j] != END_NODE; ++j)
147 ++nedges[r[i][j]];
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148
149 /* Allocate. */
150 for (i = 0; i < n; i++)
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151 {
152 relation_node *sp = NULL;
153 if (nedges[i] > 0)
154 {
155 sp = xnmalloc (nedges[i] + 1, sizeof *sp);
156 sp[nedges[i]] = END_NODE;
157 }
158 new_R[i] = sp;
159 end_R[i] = sp;
160 }
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161
162 /* Store. */
163 for (i = 0; i < n; i++)
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164 if (r[i])
165 for (j = 0; r[i][j] != END_NODE; ++j)
166 *end_R[r[i][j]]++ = i;
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167
168 free (nedges);
169 free (end_R);
170
171 /* Free the input: it is replaced with the result. */
172 for (i = 0; i < n; i++)
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173 free (r[i]);
174 free (r);
0e4d5753 175
273a74fa 176 if (trace_flag & trace_sets)
0e4d5753 177 {
427c0dda 178 fputs ("relation_transpose: output\n", stderr);
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179 relation_print (new_R, n, stderr);
180 }
181
182 *R_arg = new_R;
183}