| 1 | /* Binary relations. |
| 2 | Copyright (C) 2002, 2004-2005, 2009-2010 Free Software Foundation, |
| 3 | Inc. |
| 4 | |
| 5 | This file is part of Bison, the GNU Compiler Compiler. |
| 6 | |
| 7 | This program is free software: you can redistribute it and/or modify |
| 8 | it under the terms of the GNU General Public License as published by |
| 9 | the Free Software Foundation, either version 3 of the License, or |
| 10 | (at your option) any later version. |
| 11 | |
| 12 | This program is distributed in the hope that it will be useful, |
| 13 | but WITHOUT ANY WARRANTY; without even the implied warranty of |
| 14 | MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the |
| 15 | GNU General Public License for more details. |
| 16 | |
| 17 | You should have received a copy of the GNU General Public License |
| 18 | along with this program. If not, see <http://www.gnu.org/licenses/>. */ |
| 19 | |
| 20 | #include <config.h> |
| 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 | } |