1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
|
/*
* Copyright (c) 2016 Cisco and/or its affiliates.
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at:
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
#include <vppinfra/ptclosure.h>
u8 **
clib_ptclosure_alloc (int n)
{
u8 **rv = 0;
u8 *row;
int i;
ASSERT (n > 0);
vec_validate (rv, n - 1);
for (i = 0; i < n; i++)
{
row = 0;
vec_validate (row, n - 1);
rv[i] = row;
}
return rv;
}
void
clib_ptclosure_free (u8 ** ptc)
{
u8 *row;
int n = vec_len (ptc);
int i;
ASSERT (n > 0);
for (i = 0; i < n; i++)
{
row = ptc[i];
vec_free (row);
}
vec_free (ptc);
}
void
clib_ptclosure_copy (u8 ** dst, u8 ** src)
{
int i, n;
u8 *src_row, *dst_row;
n = vec_len (dst);
for (i = 0; i < vec_len (dst); i++)
{
src_row = src[i];
dst_row = dst[i];
clib_memcpy (dst_row, src_row, n);
}
}
/*
* compute the positive transitive closure
* of a relation via Warshall's algorithm.
*
* Ref:
* Warshall, Stephen (January 1962). "A theorem on Boolean matrices".
* Journal of the ACM 9 (1): 11–12.
*
* foo[i][j] = 1 means that item i
* "bears the relation" to item j.
*
* For example: "item i must be before item j"
*
* You could use a bitmap, but since the algorithm is
* O(n**3) in the first place, large N is inadvisable...
*
*/
u8 **
clib_ptclosure (u8 ** orig)
{
int i, j, k;
int n;
u8 **prev, **cur;
n = vec_len (orig);
prev = clib_ptclosure_alloc (n);
cur = clib_ptclosure_alloc (n);
clib_ptclosure_copy (prev, orig);
for (k = 0; k < n; k++)
{
for (i = 0; i < n; i++)
{
for (j = 0; j < n; j++)
{
cur[i][j] = prev[i][j] || (prev[i][k] && prev[k][j]);
}
}
clib_ptclosure_copy (prev, cur);
}
clib_ptclosure_free (prev);
return cur;
}
/*
* fd.io coding-style-patch-verification: ON
*
* Local Variables:
* eval: (c-set-style "gnu")
* End:
*/
|