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/*
-- MAGMA (version 2.9.0) --
Univ. of Tennessee, Knoxville
Univ. of California, Berkeley
Univ. of Colorado, Denver
@date January 2025
@precisions normal z -> c
@author Mark Gates
@author Adrien Remy
*/
// includes, system
#include <stdio.h>
#include <stdlib.h>
#include <string.h>
#include <math.h>
// includes, project
#include "flops.h"
#include "magma_v2.h"
#include "magma_lapack.h"
#include "testings.h"
/* ////////////////////////////////////////////////////////////////////////////
-- Testing zsysv_nopiv_gpu
*/
int main(int argc, char **argv)
{
TESTING_CHECK( magma_init() );
magma_print_environment();
real_Double_t gflops, cpu_perf, cpu_time, gpu_perf, gpu_time;
double error, Rnorm, Anorm, Xnorm, *work;
magmaDoubleComplex c_one = MAGMA_Z_ONE;
magmaDoubleComplex c_neg_one = MAGMA_Z_NEG_ONE;
magmaDoubleComplex *h_A, *h_B, *h_X, temp, *hwork;
magmaDoubleComplex_ptr d_A, d_B;
magma_int_t *ipiv;
magma_int_t N, nrhs, lda, ldb, ldda, lddb, info, sizeB, lwork;
magma_int_t ione = 1;
magma_int_t ISEED[4] = {0,0,0,1};
int status = 0;
magma_opts opts;
opts.parse_opts( argc, argv );
double tol = opts.tolerance * lapackf77_dlamch("E");
nrhs = opts.nrhs;
printf("%% N NRHS CPU Gflop/s (sec) GPU Gflop/s (sec) ||B - AX|| / N*||A||*||X||\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;
ldb = lda;
ldda = magma_roundup( N, opts.align ); // multiple of 32 by default
lddb = ldda;
gflops = ( FLOPS_ZPOTRF( N ) + FLOPS_ZPOTRS( N, nrhs ) ) / 1e9;
TESTING_CHECK( magma_zmalloc_cpu( &h_A, lda*N ));
TESTING_CHECK( magma_zmalloc_cpu( &h_B, ldb*nrhs ));
TESTING_CHECK( magma_zmalloc_cpu( &h_X, ldb*nrhs ));
TESTING_CHECK( magma_dmalloc_cpu( &work, N ));
TESTING_CHECK( magma_imalloc_cpu( &ipiv, N ));
TESTING_CHECK( magma_zmalloc( &d_A, ldda*N ));
TESTING_CHECK( magma_zmalloc( &d_B, lddb*nrhs ));
/* Initialize the matrices */
//sizeA = lda*N;
sizeB = ldb*nrhs;
magma_generate_matrix( opts, N, N, h_A, lda );
lapackf77_zlarnv( &ione, ISEED, &sizeB, h_B );
bool nopiv = true;
if ( nopiv ) {
magma_zmake_spd( N, h_A, lda ); // SPD does not require pivoting
}
else {
magma_zmake_symmetric( N, h_A, lda ); // symmetric generally requires pivoting
}
magma_zsetmatrix( N, N, h_A, lda, d_A, ldda, opts.queue );
magma_zsetmatrix( N, nrhs, h_B, ldb, d_B, lddb, opts.queue );
/* ====================================================================
Performs operation using MAGMA
=================================================================== */
gpu_time = magma_wtime();
magma_zsysv_nopiv_gpu( opts.uplo, N, nrhs, d_A, ldda, d_B, lddb, &info );
gpu_time = magma_wtime() - gpu_time;
gpu_perf = gflops / gpu_time;
if (info != 0) {
printf("magma_zgesv_gpu returned error %lld: %s.\n",
(long long) info, magma_strerror( info ));
}
//=====================================================================
// Residual
//=====================================================================
magma_zgetmatrix( N, nrhs, d_B, lddb, h_X, ldb, opts.queue );
Anorm = lapackf77_zlange("I", &N, &N, h_A, &lda, work);
Xnorm = lapackf77_zlange("I", &N, &nrhs, h_X, &ldb, work);
blasf77_zgemm( MagmaNoTransStr, MagmaNoTransStr, &N, &nrhs, &N,
&c_one, h_A, &lda,
h_X, &ldb,
&c_neg_one, h_B, &ldb);
Rnorm = lapackf77_zlange("I", &N, &nrhs, h_B, &ldb, work);
error = Rnorm/(N*Anorm*Xnorm);
status += ! (error < tol);
/* ====================================================================
Performs operation using LAPACK
=================================================================== */
if ( opts.lapack ) {
lwork = -1;
lapackf77_zsysv( lapack_uplo_const(opts.uplo), &N, &nrhs,
h_A, &lda, ipiv, h_B, &ldb, &temp, &lwork, &info );
lwork = (magma_int_t) MAGMA_Z_REAL( temp );
TESTING_CHECK( magma_zmalloc_cpu( &hwork, lwork ));
cpu_time = magma_wtime();
lapackf77_zsysv( lapack_uplo_const(opts.uplo), &N, &nrhs,
h_A, &lda, ipiv, h_B, &ldb, hwork, &lwork, &info );
cpu_time = magma_wtime() - cpu_time;
cpu_perf = gflops / cpu_time;
if (info != 0) {
printf("lapackf77_zhesv returned error %lld: %s.\n",
(long long) info, magma_strerror( info ));
}
printf( "%5lld %5lld %7.2f (%7.2f) %7.2f (%7.2f) %8.2e %s\n",
(long long) N, (long long) nrhs, cpu_perf, cpu_time, gpu_perf, gpu_time,
error, (error < tol ? "ok" : "failed"));
magma_free_cpu( hwork );
}
else {
printf( "%5lld %5lld --- ( --- ) %7.2f (%7.2f) %8.2e %s\n",
(long long) N, (long long) nrhs, gpu_perf, gpu_time,
error, (error < tol ? "ok" : "failed"));
}
magma_free_cpu( h_A );
magma_free_cpu( h_B );
magma_free_cpu( h_X );
magma_free_cpu( work );
magma_free_cpu( ipiv );
magma_free( d_A );
magma_free( d_B );
fflush( stdout );
}
if ( opts.niter > 1 ) {
printf( "\n" );
}
}
opts.cleanup();
TESTING_CHECK( magma_finalize() );
return status;
}
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