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
|
/*
-- MAGMA (version 2.9.0) --
Univ. of Tennessee, Knoxville
Univ. of California, Berkeley
Univ. of Colorado, Denver
@date January 2025
@generated from testing/testing_zposv.cpp, normal z -> d, Wed Jan 22 14:40:27 2025
*/
// includes, system
#include <stdio.h>
#include <stdlib.h>
#include <string.h>
#include <math.h>
// includes, project
#include "flops.h"
#include "magma_v2.h"
#include "magma_lapack.h"
#include "testings.h"
/* ////////////////////////////////////////////////////////////////////////////
-- Testing dposv
*/
int main( int argc, char** argv)
{
TESTING_CHECK( magma_init() );
magma_print_environment();
// constants
const double c_one = MAGMA_D_ONE;
const double c_neg_one = MAGMA_D_NEG_ONE;
const magma_int_t ione = 1;
// locals
real_Double_t gflops, cpu_perf, cpu_time, gpu_perf, gpu_time;
double error, Rnorm, Anorm, Xnorm, *work, *sigma;
double *h_A, *h_R, *h_B, *h_X;
magma_int_t N, lda, ldb, info, sizeB;
int status = 0;
magma_opts opts;
opts.matrix = "rand_dominant"; // default
opts.parse_opts( argc, argv );
double tol = opts.tolerance * lapackf77_dlamch("E");
printf("%% ngpu = %lld, uplo = %s\n", (long long) opts.ngpu, lapack_uplo_const(opts.uplo) );
printf("%% N NRHS CPU Gflop/s (sec) GPU Gflop/s (sec) ||B - AX|| / N*||A||*||X||\n");
printf("%%===============================================================================\n");
for( int itest = 0; itest < opts.ntest; ++itest ) {
for( int iter = 0; iter < opts.niter; ++iter ) {
N = opts.nsize[itest];
lda = ldb = N;
gflops = ( FLOPS_DPOTRF( N ) + FLOPS_DPOTRS( N, opts.nrhs ) ) / 1e9;
TESTING_CHECK( magma_dmalloc_cpu( &h_A, lda*N ));
TESTING_CHECK( magma_dmalloc_cpu( &h_R, lda*N ));
TESTING_CHECK( magma_dmalloc_cpu( &h_B, ldb*opts.nrhs ));
TESTING_CHECK( magma_dmalloc_cpu( &h_X, ldb*opts.nrhs ));
TESTING_CHECK( magma_dmalloc_cpu( &work, N ));
TESTING_CHECK( magma_dmalloc_cpu( &sigma, N ));
/* ====================================================================
Initialize the matrix
=================================================================== */
sizeB = ldb*opts.nrhs;
magma_generate_matrix( opts, N, N, h_A, lda, sigma );
lapackf77_dlarnv( &ione, opts.iseed, &sizeB, h_B );
// copy A to R and B to X; save A and B for residual
lapackf77_dlacpy( MagmaFullStr, &N, &N, h_A, &lda, h_R, &lda );
lapackf77_dlacpy( MagmaFullStr, &N, &opts.nrhs, h_B, &ldb, h_X, &ldb );
if (opts.verbose) {
printf( "A = " ); magma_dprint( N, N, h_A, lda );
printf( "B = " ); magma_dprint( N, opts.nrhs, h_B, ldb );
printf( "S = " ); magma_dprint( N, 1, sigma, N );
}
/* ====================================================================
Performs operation using MAGMA
=================================================================== */
gpu_time = magma_wtime();
magma_dposv( opts.uplo, N, opts.nrhs, h_R, lda, h_X, ldb, &info );
gpu_time = magma_wtime() - gpu_time;
gpu_perf = gflops / gpu_time;
if (info != 0) {
printf("magma_dposv returned error %lld: %s.\n",
(long long) info, magma_strerror( info ));
}
if (opts.verbose) {
printf( "L = " ); magma_dprint( N, N, h_R, lda );
printf( "X = " ); magma_dprint( N, opts.nrhs, h_X, ldb );
}
/* =====================================================================
Residual
=================================================================== */
Anorm = lapackf77_dlange("I", &N, &N, h_A, &lda, work);
Xnorm = lapackf77_dlange("I", &N, &opts.nrhs, h_X, &ldb, work);
blasf77_dsymm( MagmaLeftStr, lapack_uplo_const(opts.uplo), &N, &opts.nrhs,
&c_one, h_A, &lda,
h_X, &ldb,
&c_neg_one, h_B, &ldb );
Rnorm = lapackf77_dlange("I", &N, &opts.nrhs, h_B, &ldb, work);
error = Rnorm/(N*Anorm*Xnorm);
status += ! (error < tol);
/* ====================================================================
Performs operation using LAPACK
=================================================================== */
if ( opts.lapack ) {
cpu_time = magma_wtime();
lapackf77_dposv( lapack_uplo_const(opts.uplo), &N, &opts.nrhs, h_A, &lda, h_B, &ldb, &info );
cpu_time = magma_wtime() - cpu_time;
cpu_perf = gflops / cpu_time;
if (info != 0) {
printf("lapackf77_dposv returned error %lld: %s.\n",
(long long) info, magma_strerror( info ));
}
if (opts.verbose) {
printf( "Lref = " ); magma_dprint( N, N, h_A, lda );
printf( "Xref = " ); magma_dprint( N, opts.nrhs, h_B, ldb );
}
printf( "%5lld %5lld %7.2f (%7.2f) %7.2f (%7.2f) %8.2e %s\n",
(long long) N, (long long) opts.nrhs, cpu_perf, cpu_time, gpu_perf, gpu_time,
error, (error < tol ? "ok" : "failed"));
}
else {
printf( "%5lld %5lld --- ( --- ) %7.2f (%7.2f) %8.2e %s\n",
(long long) N, (long long) opts.nrhs, gpu_perf, gpu_time,
error, (error < tol ? "ok" : "failed"));
}
magma_free_cpu( h_A );
magma_free_cpu( h_R );
magma_free_cpu( h_B );
magma_free_cpu( h_X );
magma_free_cpu( work );
magma_free_cpu( sigma );
fflush( stdout );
}
if ( opts.niter > 1 ) {
printf( "\n" );
}
}
opts.cleanup();
TESTING_CHECK( magma_finalize() );
return status;
}
|
