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1/* Generate transitive closure of a matrix,
2 Copyright 1984, 1989, 2000, 2001 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
22#include "system.h"
23#include "getargs.h"
24#include "warshall.h"
25
26/*-------------------------------------------------------------.
27| Given n by n matrix of bits R, modify its contents to be the |
28| transive closure of what was given. |
29`-------------------------------------------------------------*/
30
31static void
32bitmatrix_print (const char *title, unsigned *matrix, size_t size)
33{
34 size_t i, j;
35 size_t rowsize = WORDSIZE (size) * sizeof (unsigned);
36#define ROW(Num) ((unsigned *) ((char *) matrix + ((Num) * rowsize)))
37
38 /* Title. */
39 fprintf (stderr, "%s BEGIN\n", title);
40
41 /* Column numbers. */
42 fputs (" ", stderr);
43 for (i = 0; i < size; ++i)
44 putc (i / 10 ? '0' + i / 10 : ' ', stderr);
45 putc ('\n', stderr);
46 fputs (" ", stderr);
47 for (i = 0; i < size; ++i)
48 fprintf (stderr, "%d", i % 10);
49 putc ('\n', stderr);
50
51 /* Bar. */
52 fputs (" .", stderr);
53 for (i = 0; i < size; ++i)
54 putc ('-', stderr);
55 fputs (".\n", stderr);
56
57 /* Contents. */
58 for (i = 0; i < size; ++i)
59 {
60 fprintf (stderr, "%2d|", i);
61 for (j = 0; j < size; ++j)
62 fputs (BITISSET (ROW (i), j) ? "1" : " ", stderr);
63 fputs ("|\n", stderr);
64 }
65
66 /* Bar. */
67 fputs (" `", stderr);
68 for (i = 0; i < size; ++i)
69 putc ('-', stderr);
70 fputs ("'\n", stderr);
71
72 /* End title. */
73 fprintf (stderr, "%s END\n\n", title);
74}
75
76#define R(Num) (unsigned *) ((char *) R + ((Num) * rowsize))
77
78static void
79TC (unsigned *R, int n)
80{
81 int rowsize = WORDSIZE (n) * sizeof (unsigned);
82 int i, j, k;
83
84 if (trace_flag)
85 bitmatrix_print ("TC: Input", R, n);
86
87 /* R (J, I) && R (I, K) => R (J, K).
88 I *must* be the outter loop. */
89
90 for (i = 0; i < n; ++i)
91 for (j = 0; j < n; ++j)
92 if (BITISSET (R (j), i))
93 for (k = 0; k < n; ++k)
94 if (BITISSET (R (i), k))
95 SETBIT (R (j), k);
96
97 if (trace_flag)
98 bitmatrix_print ("TC: Output", R, n);
99}
100
101
102/*---------------------------------------------------------------.
103| Reflexive Transitive Closure. Same as TC and then set all the |
104| bits on the diagonal of R. |
105`---------------------------------------------------------------*/
106
107void
108RTC (unsigned *R, int n)
109{
110 int rowsize = WORDSIZE (n) * sizeof (unsigned);
111 int i;
112
113 TC (R, n);
114 for (i = 0; i < n; ++i)
115 SETBIT (R (i), i);
116}