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1 | /* Binary relations. | |
2 | Copyright (C) 2002 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., 59 Temple Place - Suite 330, | |
19 | Boston, MA 02111-1307, 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, size_t size, FILE *out) | |
30 | { | |
31 | unsigned i, j; | |
32 | ||
33 | for (i = 0; i < size; ++i) | |
34 | { | |
35 | fprintf (out, "%3d: ", i); | |
36 | if (r[i]) | |
37 | for (j = 0; r[i][j] != -1; ++j) | |
38 | fprintf (out, "%3d ", 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 int top; | |
56 | static int infinity; | |
57 | static bitsetv F; | |
58 | ||
59 | static void | |
60 | traverse (int i) | |
61 | { | |
62 | int j; | |
63 | int height; | |
64 | ||
65 | VERTICES[++top] = i; | |
66 | INDEX[i] = height = top; | |
67 | ||
68 | if (R[i]) | |
69 | for (j = 0; R[i][j] >= 0; ++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, size_t size, bitsetv *function) | |
96 | { | |
97 | unsigned i; | |
98 | ||
99 | infinity = size + 2; | |
100 | CALLOC (INDEX, size + 1); | |
101 | CALLOC (VERTICES, size + 1); | |
102 | top = 0; | |
103 | ||
104 | R = r; | |
105 | F = *function; | |
106 | ||
107 | for (i = 0; i < size; i++) | |
108 | INDEX[i] = 0; | |
109 | ||
110 | for (i = 0; i < size; i++) | |
111 | if (INDEX[i] == 0 && R[i]) | |
112 | traverse (i); | |
113 | ||
114 | XFREE (INDEX); | |
115 | XFREE (VERTICES); | |
116 | ||
117 | *function = F; | |
118 | } | |
119 | ||
120 | ||
121 | /*-------------------------------------------. | |
122 | | Destructively transpose R_ARG, of size N. | | |
123 | `-------------------------------------------*/ | |
124 | ||
125 | void | |
126 | relation_transpose (relation *R_arg, int n) | |
127 | { | |
128 | /* The result. */ | |
129 | relation new_R = CALLOC (new_R, n); | |
130 | /* END_R[I] -- next entry of NEW_R[I]. */ | |
131 | relation end_R = CALLOC (end_R, n); | |
132 | /* NEDGES[I] -- total size of NEW_R[I]. */ | |
133 | int *nedges = CALLOC (nedges, n); | |
134 | int i, j; | |
135 | ||
136 | if (trace_flag & trace_sets) | |
137 | { | |
138 | fputs ("relation_transpose: input\n", stderr); | |
139 | relation_print (*R_arg, n, stderr); | |
140 | } | |
141 | ||
142 | /* Count. */ | |
143 | for (i = 0; i < n; i++) | |
144 | if ((*R_arg)[i]) | |
145 | for (j = 0; (*R_arg)[i][j] >= 0; ++j) | |
146 | ++nedges[(*R_arg)[i][j]]; | |
147 | ||
148 | /* Allocate. */ | |
149 | for (i = 0; i < n; i++) | |
150 | if (nedges[i] > 0) | |
151 | { | |
152 | relation_node *sp = CALLOC (sp, nedges[i] + 1); | |
153 | sp[nedges[i]] = -1; | |
154 | new_R[i] = sp; | |
155 | end_R[i] = sp; | |
156 | } | |
157 | ||
158 | /* Store. */ | |
159 | for (i = 0; i < n; i++) | |
160 | if ((*R_arg)[i]) | |
161 | for (j = 0; (*R_arg)[i][j] >= 0; ++j) | |
162 | { | |
163 | *end_R[(*R_arg)[i][j]] = i; | |
164 | ++end_R[(*R_arg)[i][j]]; | |
165 | } | |
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 | XFREE ((*R_arg)[i]); | |
173 | free (*R_arg); | |
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 | } |