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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 Stan Tomov
@author Mark Gates
@precisions normal z -> s d c
*/
// 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 COMPLEX
/* ////////////////////////////////////////////////////////////////////////////
-- Testing zhetrd
*/
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;
magmaDoubleComplex *h_A, *h_R, *h_Q, *h_work, *work;
magmaDoubleComplex *tau;
double *diag, *offdiag;
#ifdef COMPLEX
double *rwork = NULL;
#endif
double 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;
magma_int_t k = 1; // TODO: UNKNOWN, UNDOCUMENTED VARIABLE (number of streams?)
magma_opts opts;
opts.parse_opts( argc, argv );
opts.ngpu = abs( opts.ngpu ); // always uses multi-GPU code
double tol = opts.tolerance * lapackf77_dlamch("E");
double eps = lapackf77_dlamch( "E" );
/* To avoid uninitialized variable warning */
h_Q = NULL;
work = NULL;
printf("%% uplo = %s, ngpu %lld\n", lapack_uplo_const(opts.uplo), (long long) opts.ngpu );
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_zhetrd_nb(N);
/* We suppose the magma nb is bigger than lapack nb */
lwork = N*nb;
gflops = FLOPS_ZHETRD( N ) / 1e9;
/* Allocate host memory for the matrix */
TESTING_CHECK( magma_zmalloc_pinned( &h_R, lda*N ));
TESTING_CHECK( magma_zmalloc_pinned( &h_work, lwork ));
TESTING_CHECK( magma_zmalloc_cpu( &h_A, lda*N ));
TESTING_CHECK( magma_zmalloc_cpu( &tau, N ));
TESTING_CHECK( magma_dmalloc_cpu( &diag, N ));
TESTING_CHECK( magma_dmalloc_cpu( &offdiag, N-1 ));
/* ====================================================================
Initialize the matrix
=================================================================== */
magma_generate_matrix( opts, N, N, h_A, lda );
lapackf77_zlacpy( MagmaFullStr, &N, &N, h_A, &lda, h_R, &lda );
/* ====================================================================
Performs operation using MAGMA
=================================================================== */
gpu_time = magma_wtime();
if ( opts.ngpu == 0 ) {
magma_zhetrd(opts.uplo, N, h_R, lda, diag, offdiag,
tau, h_work, lwork, &info);
} else {
magma_zhetrd_mgpu(opts.ngpu, k, opts.uplo, N, h_R, lda, diag, offdiag,
tau, h_work, lwork, &info);
}
gpu_time = magma_wtime() - gpu_time;
if (info != 0) {
printf("magma_zhetrd_mgpu returned error %lld: %s.\n",
(long long) info, magma_strerror( info ));
}
gpu_perf = gflops / gpu_time;
/* =====================================================================
Check the factorization
=================================================================== */
if ( opts.check ) {
TESTING_CHECK( magma_zmalloc_cpu( &h_Q, lda*N ));
TESTING_CHECK( magma_zmalloc_cpu( &work, 2*N*N ));
#ifdef COMPLEX
TESTING_CHECK( magma_dmalloc_cpu( &rwork, N ));
#endif
lapackf77_zlacpy( lapack_uplo_const(opts.uplo), &N, &N, h_R, &lda, h_Q, &lda);
lapackf77_zungtr( lapack_uplo_const(opts.uplo), &N, h_Q, &lda, tau, h_work, &lwork, &info);
lapackf77_zhet21( &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_zhet21( &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_zhetrd(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_zhetrd returned error %lld: %s.\n",
(long long) info, magma_strerror( info ));
}
}
/* =====================================================================
Print performance and error.
=================================================================== */
if ( opts.lapack ) {
printf("%5lld %7.2f (%7.2f)", (long long) N, cpu_perf, cpu_time );
}
else {
printf("%5lld --- ( --- )", (long long) N );
}
printf(" %7.2f (%7.2f)", 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;
}
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