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
|
/*
-- MAGMA (version 2.9.0) --
Univ. of Tennessee, Knoxville
Univ. of California, Berkeley
Univ. of Colorado, Denver
@date January 2025
@author Stan Tomov
@author Mark Gates
@generated from testing/testing_zhetrd.cpp, normal z -> s, Wed Jan 22 14:40:37 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"
#define REAL
/* ////////////////////////////////////////////////////////////////////////////
-- Testing ssytrd
*/
int main( int argc, char** argv)
{
TESTING_CHECK( magma_init() );
magma_print_environment();
real_Double_t gflops, gpu_perf, cpu_perf, gpu_time, cpu_time;
float eps;
float *h_A, *h_R, *h_Q, *h_work, *work;
float *tau;
float *diag, *offdiag;
float result[2] = {0., 0.};
magma_int_t N, lda, lwork, info, nb;
magma_int_t ione = 1;
magma_int_t itwo = 2;
magma_int_t ithree = 3;
int status = 0;
#ifdef COMPLEX
float *rwork;
#endif
eps = lapackf77_slamch( "E" );
magma_opts opts;
opts.parse_opts( argc, argv );
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) |A-QHQ^H|/N|A| |I-QQ^H|/N\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;
nb = magma_get_ssytrd_nb(N);
lwork = N*nb; /* We suppose the magma nb is bigger than lapack nb */
gflops = FLOPS_SSYTRD( N ) / 1e9;
TESTING_CHECK( magma_smalloc_pinned( &h_R, lda*N ));
TESTING_CHECK( magma_smalloc_pinned( &h_work, lwork ));
TESTING_CHECK( magma_smalloc_cpu( &h_A, lda*N ));
TESTING_CHECK( magma_smalloc_cpu( &tau, N ));
TESTING_CHECK( magma_smalloc_cpu( &diag, N ));
TESTING_CHECK( magma_smalloc_cpu( &offdiag, N-1 ));
/* ====================================================================
Initialize the matrix
=================================================================== */
magma_generate_matrix( opts, N, N, h_A, lda );
lapackf77_slacpy( MagmaFullStr, &N, &N, h_A, &lda, h_R, &lda );
/* ====================================================================
Performs operation using MAGMA
=================================================================== */
gpu_time = magma_wtime();
magma_ssytrd( opts.uplo, N, h_R, lda, diag, offdiag,
tau, h_work, lwork, &info );
gpu_time = magma_wtime() - gpu_time;
gpu_perf = gflops / gpu_time;
if (info != 0) {
printf("magma_ssytrd returned error %lld: %s.\n",
(long long) info, magma_strerror( info ));
}
/* =====================================================================
Check the factorization
=================================================================== */
if ( opts.check ) {
TESTING_CHECK( magma_smalloc_cpu( &h_Q, lda*N ));
TESTING_CHECK( magma_smalloc_cpu( &work, 2*N*N ));
#ifdef COMPLEX
TESTING_CHECK( magma_smalloc_cpu( &rwork, N ));
#endif
lapackf77_slacpy( lapack_uplo_const(opts.uplo), &N, &N, h_R, &lda, h_Q, &lda );
lapackf77_sorgtr( lapack_uplo_const(opts.uplo), &N, h_Q, &lda, tau, h_work, &lwork, &info );
lapackf77_ssyt21( &itwo, lapack_uplo_const(opts.uplo), &N, &ione,
h_A, &lda, diag, offdiag,
h_Q, &lda, h_R, &lda,
tau, work,
#ifdef COMPLEX
rwork,
#endif
&result[0] );
lapackf77_ssyt21( &ithree, lapack_uplo_const(opts.uplo), &N, &ione,
h_A, &lda, diag, offdiag,
h_Q, &lda, h_R, &lda,
tau, work,
#ifdef COMPLEX
rwork,
#endif
&result[1] );
result[0] *= eps;
result[1] *= eps;
magma_free_cpu( h_Q );
magma_free_cpu( work );
#ifdef COMPLEX
magma_free_cpu( rwork );
#endif
}
/* =====================================================================
Performs operation using LAPACK
=================================================================== */
if ( opts.lapack ) {
cpu_time = magma_wtime();
lapackf77_ssytrd( lapack_uplo_const(opts.uplo), &N, h_A, &lda, diag, offdiag, tau,
h_work, &lwork, &info );
cpu_time = magma_wtime() - cpu_time;
cpu_perf = gflops / cpu_time;
if (info != 0) {
printf("lapackf77_ssytrd returned error %lld: %s.\n",
(long long) info, magma_strerror( info ));
}
}
/* =====================================================================
Print performance and error.
=================================================================== */
if ( opts.lapack ) {
printf("%5lld %7.2f (%7.2f) %7.2f (%7.2f)",
(long long) N, cpu_perf, cpu_time, gpu_perf, gpu_time );
} else {
printf("%5lld --- ( --- ) %7.2f (%7.2f)",
(long long) N, gpu_perf, gpu_time );
}
if ( opts.check ) {
printf(" %8.2e %8.2e %s\n", result[0], result[1],
((result[0] < tol && result[1] < tol) ? "ok" : "failed") );
status += ! (result[0] < tol && result[1] < tol);
} else {
printf(" --- ---\n");
}
magma_free_pinned( h_R );
magma_free_pinned( h_work );
magma_free_cpu( h_A );
magma_free_cpu( tau );
magma_free_cpu( diag );
magma_free_cpu( offdiag );
fflush( stdout );
}
if ( opts.niter > 1 ) {
printf( "\n" );
}
}
opts.cleanup();
TESTING_CHECK( magma_finalize() );
return status;
}
|
