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/*
-- MAGMA (version 2.9.0) --
Univ. of Tennessee, Knoxville
Univ. of California, Berkeley
Univ. of Colorado, Denver
@date January 2025
@author Azzam Haidar
*/
#include <stdio.h>
#include <stdlib.h>
#include <string.h>
#include <math.h>
#include "flops.h"
#include "magma_v2.h"
#include "magma_lapack.h"
#include "testings.h"
#define REAL
int main(int argc, char **argv)
{
TESTING_CHECK( magma_init() );
magma_print_environment();
real_Double_t gflopsF, gflopsS, gpu_perf, gpu_time, gpu_time2;
real_Double_t gpu_perfdf, gpu_perfds;
real_Double_t gpu_perfsf, gpu_perfss;
double error, Rnorm, Anorm;
double c_one = MAGMA_D_ONE;
double c_neg_one = MAGMA_D_NEG_ONE;
double *h_A, *h_B, *h_X;
magmaDouble_ptr d_A, d_B, d_X, d_WORKD;
float *d_As, *d_Bs, *d_WORKS;
double *h_workd;
magma_int_t *h_ipiv, *d_ipiv;
magma_int_t lda, ldb, ldx;
magma_int_t ldda, lddb, lddx;
magma_int_t N, nrhs, gesv_iter, info, size;
magma_int_t ione = 1;
magma_int_t ISEED[4] = {0,0,0,1};
printf("%% Epsilon(double): %8.6e\n"
"%% Epsilon(single): %8.6e\n\n",
lapackf77_dlamch("Epsilon"), lapackf77_slamch("Epsilon") );
int status = 0;
magma_opts opts;
opts.parse_opts( argc, argv );
double tol = opts.tolerance * lapackf77_dlamch("E");
nrhs = opts.nrhs;
if (opts.version == 1) {
opts.version = 3; // use FP16-TC as default version. Keep dsgesv_iteref as option 2 and dhgesv_itref as option 3 to match the testing_dsgesv_gpu routine.
}
printf("%% trans = %s\n", lapack_trans_const(opts.transA) );
if ( opts.version == 3 ) {
printf("%% N NRHS DP-Factor DP-Solve HP-Factor HP-Solve MP: FP16->FP64-Solve Iter |b-Ax|/N|A|\n");
}
else{
printf("%% N NRHS DP-Factor DP-Solve SP-Factor SP-Solve MP: FP32->FP64-Solve Iter |b-Ax|/N|A|\n");
}
printf("%%=========================================================================================\n");
for( int itest = 0; itest < opts.ntest; ++itest ) {
for( int iter = 0; iter < opts.niter; ++iter ) {
N = opts.nsize[itest];
ldb = ldx = lda = N;
ldda = magma_roundup( N, opts.align ); // multiple of 32 by default
lddb = lddx = ldda;
gflopsF = FLOPS_DGETRF( N, N ) / 1e9;
gflopsS = gflopsF + FLOPS_DGETRS( N, nrhs ) / 1e9;
TESTING_CHECK( magma_dmalloc_cpu( &h_A, lda*N ));
TESTING_CHECK( magma_dmalloc_cpu( &h_B, ldb*nrhs ));
TESTING_CHECK( magma_dmalloc_cpu( &h_X, ldx*nrhs ));
TESTING_CHECK( magma_imalloc_cpu( &h_ipiv, N ));
TESTING_CHECK( magma_dmalloc_cpu( &h_workd, N ));
TESTING_CHECK( magma_dmalloc( &d_A, ldda*N ));
TESTING_CHECK( magma_dmalloc( &d_B, lddb*nrhs ));
TESTING_CHECK( magma_dmalloc( &d_X, lddx*nrhs ));
TESTING_CHECK( magma_imalloc( &d_ipiv, N ));
TESTING_CHECK( magma_smalloc( &d_WORKS, ldda*(N+nrhs) ));
TESTING_CHECK( magma_dmalloc( &d_WORKD, N*nrhs ));
/* Initialize matrices */
magma_generate_matrix( opts, N, N, h_A, lda );
size = ldb * nrhs;
lapackf77_dlarnv( &ione, ISEED, &size, h_B );
lapackf77_dlacpy( MagmaFullStr, &N, &nrhs, h_B, &ldb, h_X, &ldx);
magma_dsetmatrix( N, N, h_A, lda, d_A, ldda, opts.queue );
magma_dsetmatrix( N, nrhs, h_B, ldb, d_B, lddb, opts.queue );
//=====================================================================
// MIXED - GPU
//=====================================================================
gpu_time = magma_wtime();
if ( opts.version == 1 ) {
// fallback to the FP16 TC
}
else if ( opts.version == 2 ) {
magma_dsgesv_iteref_gpu( opts.transA, N, nrhs,
d_A, ldda, h_ipiv, d_ipiv,
d_B, lddb, d_X, lddx,
d_WORKD, d_WORKS, &gesv_iter, &info);
}
else if ( opts.version == 3 ) {
magma_dhgesv_iteref_gpu( opts.transA, N, nrhs,
d_A, ldda, h_ipiv, d_ipiv,
d_B, lddb, d_X, lddx,
d_WORKD, d_WORKS, &gesv_iter, &info);
}
gpu_time = magma_wtime() - gpu_time;
gpu_perf = gflopsS / gpu_time;
if (info != 0) {
printf("magma_dxgesv returned error %lld: %s.\n",
(long long) info, magma_strerror( info ));
}
//=====================================================================
// ERROR DP vs MIXED - GPU
//=====================================================================
magma_dgetmatrix( N, nrhs, d_X, lddx, h_X, ldx, opts.queue );
Anorm = lapackf77_dlange("I", &N, &N, h_A, &lda, h_workd);
blasf77_dgemm( lapack_trans_const(opts.transA), MagmaNoTransStr,
&N, &nrhs, &N,
&c_one, h_A, &lda,
h_X, &ldx,
&c_neg_one, h_B, &ldb);
Rnorm = lapackf77_dlange("I", &N, &nrhs, h_B, &ldb, h_workd);
error = Rnorm / (N*Anorm);
//=====================================================================
// Double Precision Factor/Solve
//=====================================================================
magma_dsetmatrix( N, N, h_A, lda, d_A, ldda, opts.queue );
magma_dsetmatrix( N, nrhs, h_B, ldb, d_B, lddb, opts.queue );
gpu_time = magma_wtime();
magma_dgetrf_gpu(N, N, d_A, ldda, h_ipiv, &info);
gpu_time2 = magma_wtime() - gpu_time;
if (info != 0) {
printf("magma_dgetrf returned error %lld: %s.\n",
(long long) info, magma_strerror( info ));
}
magma_dgetrs_gpu( opts.transA, N, nrhs, d_A, ldda, h_ipiv, d_B, lddb, &info );
gpu_time = magma_wtime() - gpu_time;
gpu_perfdf = gflopsF / gpu_time2;
gpu_perfds = gflopsS / gpu_time;
if (info != 0) {
printf("magma_dgetrs returned error %lld: %s.\n",
(long long) info, magma_strerror( info ));
}
//=====================================================================
// Single/Half Precision Factor/Solve
//=====================================================================
d_As = d_WORKS;
d_Bs = d_WORKS + ldda*N;
magma_dsetmatrix( N, N, h_A, lda, d_A, ldda, opts.queue );
magma_dsetmatrix( N, nrhs, h_B, ldb, d_B, lddb, opts.queue );
magmablas_dlag2s( N, N, d_A, ldda, d_As, ldda, opts.queue, &info );
magmablas_dlag2s( N, nrhs, d_B, lddb, d_Bs, lddb, opts.queue, &info );
gpu_time = magma_wtime();
if ( opts.version == 2 ) {
magma_sgetrf_gpu( N, N, d_As, ldda, h_ipiv, &info);
}
else{
magma_htgetrf_gpu( N, N, d_As, ldda, h_ipiv, &info);
}
gpu_time2 = magma_wtime() - gpu_time;
if (info != 0) {
printf("magma_sgetrf returned error %lld: %s.\n",
(long long) info, magma_strerror( info ));
}
magma_sgetrs_gpu( opts.transA, N, nrhs, d_As, ldda, h_ipiv,
d_Bs, lddb, &info);
gpu_time = magma_wtime() - gpu_time;
gpu_perfsf = gflopsF / gpu_time2;
gpu_perfss = gflopsS / gpu_time;
if (info != 0) {
printf("magma_sgetrs returned error %lld: %s.\n",
(long long) info, magma_strerror( info ));
}
printf("%5lld %5lld %7.2f %7.2f %7.2f %7.2f %7.2f %4lld %8.2e %s\n",
(long long) N, (long long) nrhs,
gpu_perfdf, gpu_perfds, gpu_perfsf, gpu_perfss, gpu_perf,
(long long) gesv_iter, error, (error < tol ? "ok" : "failed"));
status += ! (error < tol);
magma_free_cpu( h_A );
magma_free_cpu( h_B );
magma_free_cpu( h_X );
magma_free_cpu( h_ipiv );
magma_free_cpu( h_workd );
magma_free( d_A );
magma_free( d_B );
magma_free( d_X );
magma_free( d_ipiv );
magma_free( d_WORKS );
magma_free( d_WORKD );
fflush( stdout );
}
if ( opts.niter > 1 ) {
printf( "\n" );
}
}
opts.cleanup();
TESTING_CHECK( magma_finalize() );
return status;
}
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