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1 | /* Binary relations. | |
2 | ||
3 | Copyright (C) 2002, 2004-2005, 2009-2012 Free Software Foundation, | |
4 | Inc. | |
5 | ||
6 | This file is part of Bison, the GNU Compiler Compiler. | |
7 | ||
8 | This program is free software: you can redistribute it and/or modify | |
9 | it under the terms of the GNU General Public License as published by | |
10 | the Free Software Foundation, either version 3 of the License, or | |
11 | (at your option) any later version. | |
12 | ||
13 | This program is distributed in the hope that it will be useful, | |
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 | |
19 | along with this program. If not, see <http://www.gnu.org/licenses/>. */ | |
20 | ||
21 | #include <config.h> | |
22 | #include "system.h" | |
23 | ||
24 | #include <bitsetv.h> | |
25 | ||
26 | #include "getargs.h" | |
27 | #include "relation.h" | |
28 | ||
29 | void | |
30 | relation_print (relation r, relation_node size, FILE *out) | |
31 | { | |
32 | relation_node i; | |
33 | relation_node j; | |
34 | ||
35 | for (i = 0; i < size; ++i) | |
36 | { | |
37 | fprintf (out, "%3lu: ", (unsigned long int) i); | |
38 | if (r[i]) | |
39 | for (j = 0; r[i][j] != END_NODE; ++j) | |
40 | fprintf (out, "%3lu ", (unsigned long int) r[i][j]); | |
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 | ||
54 | static relation R; | |
55 | static relation_nodes INDEX; | |
56 | static relation_nodes VERTICES; | |
57 | static relation_node top; | |
58 | static relation_node infinity; | |
59 | static bitsetv F; | |
60 | ||
61 | static void | |
62 | traverse (relation_node i) | |
63 | { | |
64 | relation_node j; | |
65 | relation_node height; | |
66 | ||
67 | VERTICES[++top] = i; | |
68 | INDEX[i] = height = top; | |
69 | ||
70 | if (R[i]) | |
71 | for (j = 0; R[i][j] != END_NODE; ++j) | |
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 | ||
96 | void | |
97 | relation_digraph (relation r, relation_node size, bitsetv *function) | |
98 | { | |
99 | relation_node i; | |
100 | ||
101 | infinity = size + 2; | |
102 | INDEX = xcalloc (size + 1, sizeof *INDEX); | |
103 | VERTICES = xnmalloc (size + 1, sizeof *VERTICES); | |
104 | top = 0; | |
105 | ||
106 | R = r; | |
107 | F = *function; | |
108 | ||
109 | for (i = 0; i < size; i++) | |
110 | if (INDEX[i] == 0 && R[i]) | |
111 | traverse (i); | |
112 | ||
113 | free (INDEX); | |
114 | free (VERTICES); | |
115 | ||
116 | *function = F; | |
117 | } | |
118 | ||
119 | ||
120 | /*-------------------------------------------. | |
121 | | Destructively transpose R_ARG, of size N. | | |
122 | `-------------------------------------------*/ | |
123 | ||
124 | void | |
125 | relation_transpose (relation *R_arg, relation_node n) | |
126 | { | |
127 | relation r = *R_arg; | |
128 | /* The result. */ | |
129 | relation new_R = xnmalloc (n, sizeof *new_R); | |
130 | /* END_R[I] -- next entry of NEW_R[I]. */ | |
131 | relation end_R = xnmalloc (n, sizeof *end_R); | |
132 | /* NEDGES[I] -- total size of NEW_R[I]. */ | |
133 | size_t *nedges = xcalloc (n, sizeof *nedges); | |
134 | relation_node i; | |
135 | relation_node j; | |
136 | ||
137 | if (trace_flag & trace_sets) | |
138 | { | |
139 | fputs ("relation_transpose: input\n", stderr); | |
140 | relation_print (r, n, stderr); | |
141 | } | |
142 | ||
143 | /* Count. */ | |
144 | for (i = 0; i < n; i++) | |
145 | if (r[i]) | |
146 | for (j = 0; r[i][j] != END_NODE; ++j) | |
147 | ++nedges[r[i][j]]; | |
148 | ||
149 | /* Allocate. */ | |
150 | for (i = 0; i < n; i++) | |
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 | } | |
161 | ||
162 | /* Store. */ | |
163 | for (i = 0; i < n; i++) | |
164 | if (r[i]) | |
165 | for (j = 0; r[i][j] != END_NODE; ++j) | |
166 | *end_R[r[i][j]]++ = i; | |
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++) | |
173 | free (r[i]); | |
174 | free (r); | |
175 | ||
176 | if (trace_flag & trace_sets) | |
177 | { | |
178 | fputs ("relation_transpose: output\n", stderr); | |
179 | relation_print (new_R, n, stderr); | |
180 | } | |
181 | ||
182 | *R_arg = new_R; | |
183 | } |