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
|
/*
-- MAGMA (version 2.9.0) --
Univ. of Tennessee, Knoxville
Univ. of California, Berkeley
Univ. of Colorado, Denver
@date January 2025
@generated from testing/testing_zpotri.cpp, normal z -> s, Wed Jan 22 14:40:28 2025
*/
// includes, system
#include <stdlib.h>
#include <stdio.h>
#include <string.h>
#include <math.h>
// includes, project
#include "flops.h"
#include "magma_v2.h"
#include "magma_lapack.h"
#include "testings.h"
/* ////////////////////////////////////////////////////////////////////////////
-- Testing spotri
*/
int main( int argc, char** argv)
{
TESTING_CHECK( magma_init() );
magma_print_environment();
// constants
const float c_neg_one = MAGMA_S_NEG_ONE;
const magma_int_t ione = 1;
// locals
real_Double_t gflops, gpu_perf, gpu_time, cpu_perf, cpu_time;
float *h_A, *h_R;
magma_int_t N, n2, lda, info;
float Anorm, error, work[1], *sigma;
int status = 0;
magma_opts opts;
opts.matrix = "rand_dominant"; // default
opts.parse_opts( argc, argv );
opts.lapack |= opts.check; // check (-c) implies lapack (-l)
float tol = opts.tolerance * lapackf77_slamch("E");
printf("%% uplo = %s\n", lapack_uplo_const(opts.uplo) );
printf("%% N CPU Gflop/s (sec) GPU Gflop/s (sec) ||R||_F / ||A||_F\n");
printf("%%================================================================\n");
for( int itest = 0; itest < opts.ntest; ++itest ) {
for( int iter = 0; iter < opts.niter; ++iter ) {
N = opts.nsize[itest];
lda = N;
n2 = lda*N;
gflops = FLOPS_SPOTRI( N ) / 1e9;
TESTING_CHECK( magma_smalloc_cpu( &h_A, n2 ));
TESTING_CHECK( magma_smalloc_cpu( &sigma, N ));
TESTING_CHECK( magma_smalloc_pinned( &h_R, n2 ));
/* ====================================================================
Initialize the matrix
=================================================================== */
magma_generate_matrix( opts, N, N, h_A, lda, sigma );
lapackf77_slacpy( MagmaFullStr, &N, &N, h_A, &lda, h_R, &lda );
/* ====================================================================
Performs operation using MAGMA
=================================================================== */
if ( opts.warmup ) {
magma_spotrf( opts.uplo, N, h_R, lda, &info );
magma_spotri( opts.uplo, N, h_R, lda, &info );
lapackf77_slacpy( MagmaFullStr, &N, &N, h_A, &lda, h_R, &lda );
}
/* factorize matrix */
magma_spotrf( opts.uplo, N, h_R, lda, &info );
// check for exact singularity
//h_R[ 10 + 10*lda ] = MAGMA_S_MAKE( 0.0, 0.0 );
gpu_time = magma_wtime();
magma_spotri( opts.uplo, N, h_R, lda, &info );
gpu_time = magma_wtime() - gpu_time;
gpu_perf = gflops / gpu_time;
if (info != 0) {
printf("magma_spotri returned error %lld: %s.\n",
(long long) info, magma_strerror( info ));
}
/* =====================================================================
Performs operation using LAPACK
=================================================================== */
if ( opts.lapack ) {
lapackf77_spotrf( lapack_uplo_const(opts.uplo), &N, h_A, &lda, &info );
cpu_time = magma_wtime();
lapackf77_spotri( lapack_uplo_const(opts.uplo), &N, h_A, &lda, &info );
cpu_time = magma_wtime() - cpu_time;
cpu_perf = gflops / cpu_time;
if (info != 0) {
printf("lapackf77_spotri returned error %lld: %s.\n",
(long long) info, magma_strerror( info ));
}
/* =====================================================================
Check the result compared to LAPACK
=================================================================== */
blasf77_saxpy(&n2, &c_neg_one, h_A, &ione, h_R, &ione);
Anorm = lapackf77_slange("f", &N, &N, h_A, &lda, work);
error = lapackf77_slange("f", &N, &N, h_R, &lda, work) / Anorm;
printf("%5lld %7.2f (%7.2f) %7.2f (%7.2f) %8.2e %s\n",
(long long) N, cpu_perf, cpu_time, gpu_perf, gpu_time,
error, (error < tol ? "ok" : "failed") );
status += ! (error < tol);
}
else {
printf("%5lld --- ( --- ) %7.2f (%7.2f) ---\n",
(long long) N, gpu_perf, gpu_time );
}
magma_free_cpu( h_A );
magma_free_cpu( sigma );
magma_free_pinned( h_R );
fflush( stdout );
}
if ( opts.niter > 1 ) {
printf( "\n" );
}
}
opts.cleanup();
TESTING_CHECK( magma_finalize() );
return status;
}
|
