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
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
|
/*
-- MAGMA (version 2.9.0) --
Univ. of Tennessee, Knoxville
Univ. of California, Berkeley
Univ. of Colorado, Denver
@date January 2025
@generated from testing/testing_zgetri_gpu.cpp, normal z -> s, Wed Jan 22 14:40:30 2025
@author Mark Gates
*/
// 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 sgetri
*/
int main( int argc, char** argv )
{
TESTING_CHECK( magma_init() );
magma_print_environment();
// constants
const float c_zero = MAGMA_S_ZERO;
const float c_one = MAGMA_S_ONE;
const float c_neg_one = MAGMA_S_NEG_ONE;
real_Double_t gflops, gpu_perf, gpu_time, cpu_perf, cpu_time;
float *h_A, *h_Ainv, *h_R, *work, unused[1];
magmaFloat_ptr d_A, dwork;
magma_int_t N, n2, lda, ldda, info, lwork, ldwork;
float tmp;
float error, rwork[1];
magma_int_t *ipiv, iunused[1];
int status = 0;
magma_opts opts;
opts.parse_opts( argc, argv );
float tol = opts.tolerance * lapackf77_slamch("E");
printf("%% N CPU Gflop/s (sec) GPU Gflop/s (sec) ||I - A*A^{-1}||_1 / (N*cond(A))\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;
ldda = magma_roundup( N, opts.align ); // multiple of 32 by default
ldwork = N * magma_get_sgetri_nb( N );
gflops = FLOPS_SGETRI( N ) / 1e9;
// query for workspace size
lwork = -1;
lapackf77_sgetri( &N, unused, &lda, iunused, &tmp, &lwork, &info );
if (info != 0) {
printf("lapackf77_sgetri returned error %lld: %s.\n",
(long long) info, magma_strerror( info ));
}
lwork = magma_int_t( MAGMA_S_REAL( tmp ));
TESTING_CHECK( magma_imalloc_cpu( &ipiv, N ));
TESTING_CHECK( magma_smalloc_cpu( &work, lwork ));
TESTING_CHECK( magma_smalloc_cpu( &h_A, n2 ));
TESTING_CHECK( magma_smalloc_cpu( &h_Ainv, n2 ));
TESTING_CHECK( magma_smalloc_cpu( &h_R, n2 ));
TESTING_CHECK( magma_smalloc( &d_A, ldda*N ));
TESTING_CHECK( magma_smalloc( &dwork, ldwork ));
/* Initialize the matrix */
magma_generate_matrix( opts, N, N, h_A, lda );
/* Factor the matrix. Both MAGMA and LAPACK will use this factor. */
magma_ssetmatrix( N, N, h_A, lda, d_A, ldda, opts.queue );
magma_sgetrf_gpu( N, N, d_A, ldda, ipiv, &info );
magma_sgetmatrix( N, N, d_A, ldda, h_Ainv, lda, opts.queue );
if (info != 0) {
printf("magma_sgetrf_gpu returned error %lld: %s.\n",
(long long) info, magma_strerror( info ));
}
// check for exact singularity
//h_Ainv[ 10 + 10*lda ] = MAGMA_S_MAKE( 0.0, 0.0 );
//magma_ssetmatrix( N, N, h_Ainv, lda, d_A, ldda, opts.queue );
/* ====================================================================
Performs operation using MAGMA
=================================================================== */
if(opts.version == 1) {
gpu_time = magma_wtime();
magma_sgetri_gpu( N, d_A, ldda, ipiv, dwork, ldwork, &info );
gpu_time = magma_wtime() - gpu_time;
}
else{
// test expert api
magma_queue_t queues[2];
magma_device_t cdev;
magma_getdevice( &cdev );
magma_queue_create( cdev, &queues[0] );
magma_queue_create( cdev, &queues[1] );
// query workspace
void *host_work=NULL, *device_work=NULL;
magma_int_t lwork_host[1] = {-1};
magma_int_t lwork_device[1] = {-1};
magma_sgetri_expert_gpu_work(
N, NULL, ldda, NULL, &info, MagmaNative,
NULL, lwork_host, NULL, lwork_device, queues );
if(lwork_host[0] > 0) {
TESTING_CHECK( magma_malloc_pinned(&host_work, lwork_host[0]) );
}
if(lwork_device[0] > 0) {
TESTING_CHECK( magma_malloc(&device_work, lwork_device[0]) );
}
gpu_time = magma_sync_wtime( queues[0] );
magma_sgetri_expert_gpu_work(
N, d_A, ldda, ipiv, &info, MagmaNative,
host_work, lwork_host, device_work, lwork_device, queues );
gpu_time = magma_sync_wtime( queues[0] ) - gpu_time;
magma_queue_destroy( queues[0] );
magma_queue_destroy( queues[1] );
if(host_work != NULL) magma_free_pinned( host_work );
if(device_work != NULL) magma_free( device_work );
}
gpu_perf = gflops / gpu_time;
if (info != 0) {
printf("magma_sgetri_gpu returned error %lld: %s.\n",
(long long) info, magma_strerror( info ));
}
/* =====================================================================
Performs operation using LAPACK
=================================================================== */
if ( opts.lapack ) {
cpu_time = magma_wtime();
lapackf77_sgetri( &N, h_Ainv, &lda, ipiv, work, &lwork, &info );
cpu_time = magma_wtime() - cpu_time;
cpu_perf = gflops / cpu_time;
if (info != 0) {
printf("lapackf77_sgetri returned error %lld: %s.\n",
(long long) info, magma_strerror( info ));
}
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 );
}
/* =====================================================================
Check the result
=================================================================== */
if ( opts.check ) {
magma_sgetmatrix( N, N, d_A, ldda, h_Ainv, lda, opts.queue );
// compute 1-norm condition number estimate, following LAPACK's zget03
float normA, normAinv, rcond;
normA = lapackf77_slange( "1", &N, &N, h_A, &lda, rwork );
normAinv = lapackf77_slange( "1", &N, &N, h_Ainv, &lda, rwork );
if ( normA <= 0 || normAinv <= 0 ) {
rcond = 0;
error = 1 / (tol/opts.tolerance); // == 1/eps
}
else {
rcond = (1 / normA) / normAinv;
// R = I
// R -= A*A^{-1}
// err = ||I - A*A^{-1}|| / ( N ||A||*||A^{-1}|| ) = ||R|| * rcond / N, using 1-norm
lapackf77_slaset( "full", &N, &N, &c_zero, &c_one, h_R, &lda );
blasf77_sgemm( "no", "no", &N, &N, &N,
&c_neg_one, h_A, &lda,
h_Ainv, &lda,
&c_one, h_R, &lda );
error = lapackf77_slange( "1", &N, &N, h_R, &lda, rwork );
error = error * rcond / N;
}
bool okay = (error < tol);
status += ! okay;
printf( " %8.2e %s\n",
error, (okay ? "ok" : "failed"));
}
else {
printf( "\n" );
}
magma_free_cpu( ipiv );
magma_free_cpu( work );
magma_free_cpu( h_A );
magma_free_cpu( h_Ainv );
magma_free_cpu( h_R );
magma_free( d_A );
magma_free( dwork );
fflush( stdout );
}
if ( opts.niter > 1 ) {
printf( "\n" );
}
}
opts.cleanup();
TESTING_CHECK( magma_finalize() );
return status;
}
|
