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f7d4d87a 1/* Generate transitive closure of a matrix,
d8a0245c 2 Copyright 1984, 1989, 2000, 2001, 2002 Free Software Foundation, Inc.
f7d4d87a 3
d7913476 4 This file is part of Bison, the GNU Compiler Compiler.
f7d4d87a 5
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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.
f7d4d87a 10
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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.
f7d4d87a 15
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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. */
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20
21
f7d4d87a 22#include "system.h"
74ffbcb6 23#include "getargs.h"
914feea9 24#include "bitsetv.h"
d7913476 25#include "warshall.h"
f7d4d87a 26
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27/*--------------------------------------------------------.
28| Display the MATRIX array of SIZE bitsets of size SIZE. |
29`--------------------------------------------------------*/
3a7456dd 30
74ffbcb6 31static void
914feea9 32bitmatrix_print (const char *title, bitsetv matrix)
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33{
34 size_t i, j;
914feea9 35 size_t size = bitset_size (matrix[0]);
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36
37 /* Title. */
38 fprintf (stderr, "%s BEGIN\n", title);
39
40 /* Column numbers. */
41 fputs (" ", stderr);
42 for (i = 0; i < size; ++i)
43 putc (i / 10 ? '0' + i / 10 : ' ', stderr);
44 putc ('\n', stderr);
45 fputs (" ", stderr);
46 for (i = 0; i < size; ++i)
47 fprintf (stderr, "%d", i % 10);
48 putc ('\n', stderr);
49
50 /* Bar. */
ed8e1f68 51 fputs (" .", stderr);
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52 for (i = 0; i < size; ++i)
53 putc ('-', stderr);
ed8e1f68 54 fputs (".\n", stderr);
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55
56 /* Contents. */
57 for (i = 0; i < size; ++i)
58 {
59 fprintf (stderr, "%2d|", i);
60 for (j = 0; j < size; ++j)
d8a0245c 61 fputs (bitset_test (matrix[i], j) ? "1" : " ", stderr);
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62 fputs ("|\n", stderr);
63 }
64
65 /* Bar. */
ed8e1f68 66 fputs (" `", stderr);
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67 for (i = 0; i < size; ++i)
68 putc ('-', stderr);
ed8e1f68 69 fputs ("'\n", stderr);
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70
71 /* End title. */
72 fprintf (stderr, "%s END\n\n", title);
73}
74
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75/*-------------------------------------------------------------------.
76| Given the MATRIX array of N bitsets of size N, modify its contents |
77| to be the transive closure of what was given. |
78`-------------------------------------------------------------------*/
f7d4d87a 79
d2729d44 80static void
914feea9 81TC (bitsetv matrix)
f7d4d87a 82{
f9abaa2c 83 int i, j;
3a7456dd 84
74ffbcb6 85 if (trace_flag)
914feea9 86 bitmatrix_print ("TC: Input", matrix);
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87
88 /* R (J, I) && R (I, K) => R (J, K).
89 I *must* be the outter loop. */
90
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91 for (i = 0; matrix[i]; ++i)
92 for (j = 0; matrix[j]; ++j)
d8a0245c 93 if (bitset_test (matrix[j], i))
f9abaa2c 94 bitset_or (matrix[j], matrix[j], matrix[i]);
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95
96 if (trace_flag)
914feea9 97 bitmatrix_print ("TC: Output", matrix);
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98}
99
100
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101/*---------------------------------------------------------------.
102| Reflexive Transitive Closure. Same as TC and then set all the |
d8a0245c 103| bits on the diagonal of MATRIX. |
3a7456dd 104`---------------------------------------------------------------*/
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105
106void
914feea9 107RTC (bitsetv matrix)
f7d4d87a 108{
3a7456dd 109 int i;
f7d4d87a 110
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111 TC (matrix);
112 for (i = 0; matrix[i]; ++i)
d8a0245c 113 bitset_set (matrix[i], i);
f7d4d87a 114}