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
|
/*
-- MAGMA (version 2.9.0) --
Univ. of Tennessee, Knoxville
Univ. of California, Berkeley
Univ. of Colorado, Denver
@date January 2025
@generated from testing/testing_zgels.cpp, normal z -> c, Wed Jan 22 14:40:34 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 cgels
*/
int main( int argc, char** argv )
{
TESTING_CHECK( magma_init() );
magma_print_environment();
real_Double_t gflops, gpu_perf, gpu_time, cpu_perf, cpu_time;
float gpu_error, cpu_error, error, Anorm, work[1];
magmaFloatComplex c_one = MAGMA_C_ONE;
magmaFloatComplex c_neg_one = MAGMA_C_NEG_ONE;
magmaFloatComplex *h_A, *h_A2, *h_B, *h_B2, *h_R, *tau, *h_work, tmp[1], unused[1];
magma_int_t M, N, size, nrhs, lda, ldb, min_mn, max_mn, nb, info;
magma_int_t lhwork;
magma_int_t ione = 1;
magma_int_t ISEED[4] = {0,0,0,1};
magma_opts opts;
opts.parse_opts( argc, argv );
int status = 0;
float tol = opts.tolerance * lapackf77_slamch("E");
nrhs = opts.nrhs;
printf("%% ||b-Ax|| / (N||A||) ||dx-x||/(N||A||)\n");
printf("%% M N NRHS CPU Gflop/s (sec) GPU Gflop/s (sec) CPU GPU \n");
printf("%%==================================================================================================\n");
for( int itest = 0; itest < opts.ntest; ++itest ) {
for( int iter = 0; iter < opts.niter; ++iter ) {
M = opts.msize[itest];
N = opts.nsize[itest];
if ( M < N ) {
printf( "%5lld %5lld %5lld skipping because M < N is not yet supported.\n", (long long) M, (long long) N, (long long) nrhs );
continue;
}
min_mn = min(M, N);
max_mn = max(M, N);
lda = M;
ldb = max_mn;
nb = magma_get_cgeqrf_nb( M, N );
gflops = (FLOPS_CGEQRF( M, N ) + FLOPS_CGEQRS( M, N, nrhs )) / 1e9;
// query for workspace size
lhwork = -1;
lapackf77_cgels( MagmaNoTransStr, &M, &N, &nrhs,
unused, &lda,
unused, &ldb,
tmp, &lhwork, &info );
lhwork = (magma_int_t) MAGMA_C_REAL( tmp[0] );
lhwork = max(lhwork, N*nb);
lhwork = max(lhwork, 2*nb*nb );
TESTING_CHECK( magma_cmalloc_cpu( &tau, min_mn ));
TESTING_CHECK( magma_cmalloc_cpu( &h_A, lda*N ));
TESTING_CHECK( magma_cmalloc_pinned( &h_A2, lda*N ));
TESTING_CHECK( magma_cmalloc_cpu( &h_B, ldb*nrhs ));
TESTING_CHECK( magma_cmalloc_cpu( &h_B2, ldb*nrhs ));
TESTING_CHECK( magma_cmalloc_cpu( &h_R, ldb*nrhs ));
TESTING_CHECK( magma_cmalloc_cpu( &h_work, lhwork ));
/* Initialize the matrices */
magma_generate_matrix( opts, M, N, h_A, lda );
lapackf77_clacpy( MagmaFullStr, &M, &N, h_A, &lda, h_A2, &lda );
// make random RHS
size = ldb*nrhs;
lapackf77_clarnv( &ione, ISEED, &size, h_B );
lapackf77_clacpy( MagmaFullStr, &M, &nrhs, h_B, &ldb, h_R , &ldb );
lapackf77_clacpy( MagmaFullStr, &M, &nrhs, h_B, &ldb, h_B2, &ldb );
/* ====================================================================
Performs operation using MAGMA
=================================================================== */
gpu_time = magma_wtime();
magma_cgels( MagmaNoTrans, M, N, nrhs, h_A2, lda,
h_B2, ldb, h_work, lhwork, &info );
gpu_time = magma_wtime() - gpu_time;
gpu_perf = gflops / gpu_time;
if (info != 0) {
printf("magma_cgels_gpu returned error %lld: %s.\n",
(long long) info, magma_strerror( info ));
}
// compute the residual
blasf77_cgemm( MagmaNoTransStr, MagmaNoTransStr, &M, &nrhs, &N,
&c_neg_one, h_A, &lda,
h_B2, &ldb,
&c_one, h_R, &ldb );
Anorm = lapackf77_clange("f", &M, &N, h_A, &lda, work);
/* =====================================================================
Performs operation using LAPACK
=================================================================== */
lapackf77_clacpy( MagmaFullStr, &M, &N, h_A, &lda, h_A2, &lda );
lapackf77_clacpy( MagmaFullStr, &M, &nrhs, h_B, &ldb, h_B2, &ldb );
cpu_time = magma_wtime();
lapackf77_cgels( MagmaNoTransStr, &M, &N, &nrhs,
h_A2, &lda, h_B2, &ldb, h_work, &lhwork, &info );
cpu_time = magma_wtime() - cpu_time;
cpu_perf = gflops / cpu_time;
if (info != 0) {
printf("lapackf77_cgels returned error %lld: %s.\n",
(long long) info, magma_strerror( info ));
}
blasf77_cgemm( MagmaNoTransStr, MagmaNoTransStr, &M, &nrhs, &N,
&c_neg_one, h_A, &lda,
h_B2, &ldb,
&c_one, h_B, &ldb );
cpu_error = lapackf77_clange("f", &M, &nrhs, h_B, &ldb, work) / (min_mn*Anorm);
gpu_error = lapackf77_clange("f", &M, &nrhs, h_R, &ldb, work) / (min_mn*Anorm);
// error relative to LAPACK
size = M*nrhs;
blasf77_caxpy( &size, &c_neg_one, h_B, &ione, h_R, &ione );
error = lapackf77_clange("f", &M, &nrhs, h_R, &ldb, work) / (min_mn*Anorm);
printf("%5lld %5lld %5lld %7.2f (%7.2f) %7.2f (%7.2f) %8.2e %8.2e %8.2e",
(long long) M, (long long) N, (long long) nrhs,
cpu_perf, cpu_time, gpu_perf, gpu_time, cpu_error, gpu_error, error );
if ( M == N ) {
printf( " %s\n", (gpu_error < tol && error < tol ? "ok" : "failed"));
status += ! (gpu_error < tol && error < tol);
}
else {
printf( " %s\n", (error < tol ? "ok" : "failed"));
status += ! (error < tol);
}
magma_free_cpu( tau );
magma_free_cpu( h_A );
magma_free_pinned( h_A2 );
magma_free_cpu( h_B );
magma_free_cpu( h_B2 );
magma_free_cpu( h_R );
magma_free_cpu( h_work );
fflush( stdout );
}
if ( opts.niter > 1 ) {
printf( "\n" );
}
}
opts.cleanup();
TESTING_CHECK( magma_finalize() );
return status;
}
|
