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1 | /* Binary relations. | |
2 | Copyright (C) 2002, 2004, 2005 Free Software Foundation, Inc. | |
3 | ||
4 | This file is part of Bison, the GNU Compiler Compiler. | |
5 | ||
6 | This program 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 3 of the License, or | |
9 | (at your option) any later version. | |
10 | ||
11 | This program 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 this program. If not, see <http://www.gnu.org/licenses/>. */ | |
18 | ||
19 | #include <config.h> | |
20 | #include "system.h" | |
21 | ||
22 | #include <bitsetv.h> | |
23 | ||
24 | #include "getargs.h" | |
25 | #include "relation.h" | |
26 | ||
27 | void | |
28 | relation_print (relation r, relation_node size, FILE *out) | |
29 | { | |
30 | relation_node i; | |
31 | relation_node j; | |
32 | ||
33 | for (i = 0; i < size; ++i) | |
34 | { | |
35 | fprintf (out, "%3lu: ", (unsigned long int) i); | |
36 | if (r[i]) | |
37 | for (j = 0; r[i][j] != END_NODE; ++j) | |
38 | fprintf (out, "%3lu ", (unsigned long int) r[i][j]); | |
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 | ||
52 | static relation R; | |
53 | static relation_nodes INDEX; | |
54 | static relation_nodes VERTICES; | |
55 | static relation_node top; | |
56 | static relation_node infinity; | |
57 | static bitsetv F; | |
58 | ||
59 | static void | |
60 | traverse (relation_node i) | |
61 | { | |
62 | relation_node j; | |
63 | relation_node height; | |
64 | ||
65 | VERTICES[++top] = i; | |
66 | INDEX[i] = height = top; | |
67 | ||
68 | if (R[i]) | |
69 | for (j = 0; R[i][j] != END_NODE; ++j) | |
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 | ||
94 | void | |
95 | relation_digraph (relation r, relation_node size, bitsetv *function) | |
96 | { | |
97 | relation_node i; | |
98 | ||
99 | infinity = size + 2; | |
100 | INDEX = xcalloc (size + 1, sizeof *INDEX); | |
101 | VERTICES = xnmalloc (size + 1, sizeof *VERTICES); | |
102 | top = 0; | |
103 | ||
104 | R = r; | |
105 | F = *function; | |
106 | ||
107 | for (i = 0; i < size; i++) | |
108 | if (INDEX[i] == 0 && R[i]) | |
109 | traverse (i); | |
110 | ||
111 | free (INDEX); | |
112 | free (VERTICES); | |
113 | ||
114 | *function = F; | |
115 | } | |
116 | ||
117 | ||
118 | /*-------------------------------------------. | |
119 | | Destructively transpose R_ARG, of size N. | | |
120 | `-------------------------------------------*/ | |
121 | ||
122 | void | |
123 | relation_transpose (relation *R_arg, relation_node n) | |
124 | { | |
125 | relation r = *R_arg; | |
126 | /* The result. */ | |
127 | relation new_R = xnmalloc (n, sizeof *new_R); | |
128 | /* END_R[I] -- next entry of NEW_R[I]. */ | |
129 | relation end_R = xnmalloc (n, sizeof *end_R); | |
130 | /* NEDGES[I] -- total size of NEW_R[I]. */ | |
131 | size_t *nedges = xcalloc (n, sizeof *nedges); | |
132 | relation_node i; | |
133 | relation_node j; | |
134 | ||
135 | if (trace_flag & trace_sets) | |
136 | { | |
137 | fputs ("relation_transpose: input\n", stderr); | |
138 | relation_print (r, n, stderr); | |
139 | } | |
140 | ||
141 | /* Count. */ | |
142 | for (i = 0; i < n; i++) | |
143 | if (r[i]) | |
144 | for (j = 0; r[i][j] != END_NODE; ++j) | |
145 | ++nedges[r[i][j]]; | |
146 | ||
147 | /* Allocate. */ | |
148 | for (i = 0; i < n; i++) | |
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 | } | |
159 | ||
160 | /* Store. */ | |
161 | for (i = 0; i < n; i++) | |
162 | if (r[i]) | |
163 | for (j = 0; r[i][j] != END_NODE; ++j) | |
164 | *end_R[r[i][j]]++ = i; | |
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 | free (r[i]); | |
172 | free (r); | |
173 | ||
174 | if (trace_flag & trace_sets) | |
175 | { | |
176 | fputs ("relation_transpose: output\n", stderr); | |
177 | relation_print (new_R, n, stderr); | |
178 | } | |
179 | ||
180 | *R_arg = new_R; | |
181 | } |