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 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199
|
//------------------------------------------------------------------------------
// CCOLAMD/Demo/ccolamd_example: simple example for CCOLAMD
//------------------------------------------------------------------------------
// CCOLAMD, Copyright (c) 2005-2022, Univ. of Florida, All Rights Reserved.
// Authors: Timothy A. Davis, Sivasankaran Rajamanickam, and Stefan Larimore.
// SPDX-License-Identifier: BSD-3-clause
//------------------------------------------------------------------------------
/*
* ccolamd example of use, to order the columns of a 5-by-4 matrix with
* 11 nonzero entries in the following nonzero pattern, with default knobs
* and no ordering constraints.
*
* x 0 x 0
* x 0 x x
* 0 x x 0
* 0 0 x x
* x x 0 0
*
* csymamd example of use, to order the rows and columns of a 5-by-5
* matrix with 13 nonzero entries in the following nonzero pattern,
* with default knobs and no ordering constraints.
*
* x x 0 0 0
* x x x x 0
* 0 x x 0 0
* 0 x 0 x x
* 0 0 0 x x
*
* (where x denotes a nonzero value).
*/
/* ========================================================================== */
#include <stdio.h>
#include "ccolamd.h"
#define A_NNZ 11
#define A_NROW 5
#define A_NCOL 4
#define ALEN 150 /* size max (2.2*nnz+17*ncol+7*nrow+6, 23*ncol+7*nrow+6) */
#define B_NNZ 4
#define B_N 5
int main (void)
{
/* ====================================================================== */
/* input matrix A definition */
/* ====================================================================== */
int A [ALEN] = {
0, 1, 4, /* row indices of nonzeros in column 0 */
2, 4, /* row indices of nonzeros in column 1 */
0, 1, 2, 3, /* row indices of nonzeros in column 2 */
1, 3} ; /* row indices of nonzeros in column 3 */
int p [ ] = {
0, /* column 0 is in A [0..2] */
3, /* column 1 is in A [3..4] */
5, /* column 2 is in A [5..8] */
9, /* column 3 is in A [9..10] */
A_NNZ} ; /* number of nonzeros in A */
/* ====================================================================== */
/* input matrix B definition */
/* ====================================================================== */
int B [ ] = { /* Note: only strictly lower triangular part */
/* is included, since symamd ignores the */
/* diagonal and upper triangular part of B. */
1, /* row indices of nonzeros in column 0 */
2, 3, /* row indices of nonzeros in column 1 */
/* row indices of nonzeros in column 2 (none) */
4 /* row indices of nonzeros in column 3 */
} ; /* row indices of nonzeros in column 4 (none) */
int q [ ] = {
0, /* column 0 is in B [0] */
1, /* column 1 is in B [1..2] */
3, /* column 2 is empty */
3, /* column 3 is in B [3] */
4, /* column 4 is empty */
B_NNZ} ; /* number of nonzeros in strictly lower B */
/* ====================================================================== */
/* other variable definitions */
/* ====================================================================== */
int perm [B_N+1] ; /* note the size is N+1 */
int stats [CCOLAMD_STATS] ; /* for ccolamd and csymamd output statistics */
int row, col, pp, length, ok ;
//--------------------------------------------------------------------------
// ccolamd version
//--------------------------------------------------------------------------
int version [3] ;
ccolamd_version (version) ;
printf ("CCOLAMD v%d.%d.%d\n", version [0], version [1], version [2]) ;
if ((version [0] != CCOLAMD_MAIN_VERSION) ||
(version [1] != CCOLAMD_SUB_VERSION) ||
(version [2] != CCOLAMD_SUBSUB_VERSION))
{
fprintf (stderr, "version in header does not match library\n") ;
abort ( ) ;
}
/* ====================================================================== */
/* dump the input matrix A */
/* ====================================================================== */
printf ("ccolamd %d-by-%d input matrix:\n", A_NROW, A_NCOL) ;
for (col = 0 ; col < A_NCOL ; col++)
{
length = p [col+1] - p [col] ;
printf ("Column %d, with %d entries:\n", col, length) ;
for (pp = p [col] ; pp < p [col+1] ; pp++)
{
row = A [pp] ;
printf (" row %d\n", row) ;
}
}
/* ====================================================================== */
/* order the matrix. Note that this destroys A and overwrites p */
/* ====================================================================== */
ok = ccolamd (A_NROW, A_NCOL, ALEN, A, p, (double *) NULL, stats, NULL) ;
ccolamd_report (stats) ;
if (!ok)
{
printf ("ccolamd error!\n") ;
exit (1) ;
}
/* ====================================================================== */
/* print the column ordering */
/* ====================================================================== */
printf ("ccolamd column ordering:\n") ;
printf ("1st column: %d\n", p [0]) ;
printf ("2nd column: %d\n", p [1]) ;
printf ("3rd column: %d\n", p [2]) ;
printf ("4th column: %d\n", p [3]) ;
/* ====================================================================== */
/* dump the strictly lower triangular part of symmetric input matrix B */
/* ====================================================================== */
printf ("\n\ncsymamd %d-by-%d input matrix:\n", B_N, B_N) ;
printf ("Entries in strictly lower triangular part:\n") ;
for (col = 0 ; col < B_N ; col++)
{
length = q [col+1] - q [col] ;
printf ("Column %d, with %d entries:\n", col, length) ;
for (pp = q [col] ; pp < q [col+1] ; pp++)
{
row = B [pp] ;
printf (" row %d\n", row) ;
}
}
/* ====================================================================== */
/* order the matrix B. Note that this does not modify B or q. */
/* ====================================================================== */
ok = csymamd (B_N, B, q, perm, (double *) NULL, stats, &calloc, &free,
NULL, -1) ;
csymamd_report (stats) ;
if (!ok)
{
printf ("csymamd error!\n") ;
exit (1) ;
}
/* ====================================================================== */
/* print the symmetric ordering */
/* ====================================================================== */
printf ("csymamd column ordering:\n") ;
printf ("1st row/column: %d\n", perm [0]) ;
printf ("2nd row/column: %d\n", perm [1]) ;
printf ("3rd row/column: %d\n", perm [2]) ;
printf ("4th row/column: %d\n", perm [3]) ;
printf ("5th row/column: %d\n", perm [4]) ;
return (0) ;
}
|