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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 | ||
31 | static void | |
32 | bitmatrix_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 | ||
78 | static void | |
79 | TC (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 | ||
107 | void | |
108 | RTC (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 | } |