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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 | 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., 51 Franklin Street, Fifth Floor, | |
19 | Boston, MA 02110-1301, USA. */ | |
20 | ||
21 | #include "system.h" | |
22 | ||
23 | #include <bitsetv.h> | |
24 | ||
25 | #include "getargs.h" | |
26 | #include "relation.h" | |
27 | ||
28 | void | |
29 | relation_print (relation r, relation_node size, FILE *out) | |
30 | { | |
31 | relation_node i; | |
32 | relation_node j; | |
33 | ||
34 | for (i = 0; i < size; ++i) | |
35 | { | |
36 | fprintf (out, "%3lu: ", (unsigned long int) i); | |
37 | if (r[i]) | |
38 | for (j = 0; r[i][j] != END_NODE; ++j) | |
39 | fprintf (out, "%3lu ", (unsigned long int) r[i][j]); | |
40 | fputc ('\n', out); | |
41 | } | |
42 | fputc ('\n', out); | |
43 | } | |
44 | ||
45 | ||
46 | /*---------------------------------------------------------------. | |
47 | | digraph & traverse. | | |
48 | | | | |
49 | | The following variables are used as common storage between the | | |
50 | | two. | | |
51 | `---------------------------------------------------------------*/ | |
52 | ||
53 | static relation R; | |
54 | static relation_nodes INDEX; | |
55 | static relation_nodes VERTICES; | |
56 | static relation_node top; | |
57 | static relation_node infinity; | |
58 | static bitsetv F; | |
59 | ||
60 | static void | |
61 | traverse (relation_node i) | |
62 | { | |
63 | relation_node j; | |
64 | relation_node height; | |
65 | ||
66 | VERTICES[++top] = i; | |
67 | INDEX[i] = height = top; | |
68 | ||
69 | if (R[i]) | |
70 | for (j = 0; R[i][j] != END_NODE; ++j) | |
71 | { | |
72 | if (INDEX[R[i][j]] == 0) | |
73 | traverse (R[i][j]); | |
74 | ||
75 | if (INDEX[i] > INDEX[R[i][j]]) | |
76 | INDEX[i] = INDEX[R[i][j]]; | |
77 | ||
78 | bitset_or (F[i], F[i], F[R[i][j]]); | |
79 | } | |
80 | ||
81 | if (INDEX[i] == height) | |
82 | for (;;) | |
83 | { | |
84 | j = VERTICES[top--]; | |
85 | INDEX[j] = infinity; | |
86 | ||
87 | if (i == j) | |
88 | break; | |
89 | ||
90 | bitset_copy (F[j], F[i]); | |
91 | } | |
92 | } | |
93 | ||
94 | ||
95 | void | |
96 | relation_digraph (relation r, relation_node size, bitsetv *function) | |
97 | { | |
98 | relation_node i; | |
99 | ||
100 | infinity = size + 2; | |
101 | INDEX = xcalloc (size + 1, sizeof *INDEX); | |
102 | VERTICES = xnmalloc (size + 1, sizeof *VERTICES); | |
103 | top = 0; | |
104 | ||
105 | R = r; | |
106 | F = *function; | |
107 | ||
108 | for (i = 0; i < size; i++) | |
109 | if (INDEX[i] == 0 && R[i]) | |
110 | traverse (i); | |
111 | ||
112 | free (INDEX); | |
113 | free (VERTICES); | |
114 | ||
115 | *function = F; | |
116 | } | |
117 | ||
118 | ||
119 | /*-------------------------------------------. | |
120 | | Destructively transpose R_ARG, of size N. | | |
121 | `-------------------------------------------*/ | |
122 | ||
123 | void | |
124 | relation_transpose (relation *R_arg, relation_node n) | |
125 | { | |
126 | relation r = *R_arg; | |
127 | /* The result. */ | |
128 | relation new_R = xnmalloc (n, sizeof *new_R); | |
129 | /* END_R[I] -- next entry of NEW_R[I]. */ | |
130 | relation end_R = xnmalloc (n, sizeof *end_R); | |
131 | /* NEDGES[I] -- total size of NEW_R[I]. */ | |
132 | size_t *nedges = xcalloc (n, sizeof *nedges); | |
133 | relation_node i; | |
134 | relation_node j; | |
135 | ||
136 | if (trace_flag & trace_sets) | |
137 | { | |
138 | fputs ("relation_transpose: input\n", stderr); | |
139 | relation_print (r, n, stderr); | |
140 | } | |
141 | ||
142 | /* Count. */ | |
143 | for (i = 0; i < n; i++) | |
144 | if (r[i]) | |
145 | for (j = 0; r[i][j] != END_NODE; ++j) | |
146 | ++nedges[r[i][j]]; | |
147 | ||
148 | /* Allocate. */ | |
149 | for (i = 0; i < n; i++) | |
150 | { | |
151 | relation_node *sp = NULL; | |
152 | if (nedges[i] > 0) | |
153 | { | |
154 | sp = xnmalloc (nedges[i] + 1, sizeof *sp); | |
155 | sp[nedges[i]] = END_NODE; | |
156 | } | |
157 | new_R[i] = sp; | |
158 | end_R[i] = sp; | |
159 | } | |
160 | ||
161 | /* Store. */ | |
162 | for (i = 0; i < n; i++) | |
163 | if (r[i]) | |
164 | for (j = 0; r[i][j] != END_NODE; ++j) | |
165 | *end_R[r[i][j]]++ = i; | |
166 | ||
167 | free (nedges); | |
168 | free (end_R); | |
169 | ||
170 | /* Free the input: it is replaced with the result. */ | |
171 | for (i = 0; i < n; i++) | |
172 | free (r[i]); | |
173 | free (r); | |
174 | ||
175 | if (trace_flag & trace_sets) | |
176 | { | |
177 | fputs ("relation_transpose: output\n", stderr); | |
178 | relation_print (new_R, n, stderr); | |
179 | } | |
180 | ||
181 | *R_arg = new_R; | |
182 | } |