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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 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 zgehrd
*/
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;
magmaDoubleComplex *h_A, *h_R, *h_Q, *h_work, *tau, *twork, *T;
magmaDoubleComplex_ptr dT;
#ifdef COMPLEX
double *rwork;
#endif
double result[2];
magma_int_t N, n2, lda, nb, lwork, ltwork, info;
magma_int_t ione = 1;
int status = 0;
magma_opts opts;
opts.parse_opts( argc, argv );
double tol = opts.tolerance * lapackf77_dlamch("E");
double eps = lapackf77_dlamch( "E" );
// pass ngpu = -1 to test multi-GPU code using 1 gpu
magma_int_t abs_ngpu = abs( opts.ngpu );
printf("%% version %lld, ngpu = %lld\n", (long long) opts.version, (long long) abs_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;
n2 = lda*N;
nb = magma_get_zgehrd_nb( N );
// magma needs larger workspace than lapack, esp. multi-gpu verison
lwork = N*nb;
if (opts.ngpu != 1) {
lwork += N*nb*abs_ngpu;
}
gflops = FLOPS_ZGEHRD( N ) / 1e9;
TESTING_CHECK( magma_zmalloc_cpu( &h_A, n2 ));
TESTING_CHECK( magma_zmalloc_cpu( &tau, N ));
TESTING_CHECK( magma_zmalloc_cpu( &T, nb*N )); // for multi GPU
TESTING_CHECK( magma_zmalloc_pinned( &h_R, n2 ));
TESTING_CHECK( magma_zmalloc_pinned( &h_work, lwork ));
TESTING_CHECK( magma_zmalloc( &dT, nb*N )); // for single GPU
/* Initialize the matrices */
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.version == 1 ) {
if ( opts.ngpu == 1 ) {
magma_zgehrd( N, ione, N, h_R, lda, tau, h_work, lwork, dT, &info );
}
else {
magma_zgehrd_m( N, ione, N, h_R, lda, tau, h_work, lwork, T, &info );
}
}
else {
// LAPACK-complaint arguments, no dT array
printf( "magma_zgehrd2\n" );
magma_zgehrd2( N, ione, N, h_R, lda, tau, h_work, lwork, &info );
}
gpu_time = magma_wtime() - gpu_time;
gpu_perf = gflops / gpu_time;
if (info != 0) {
printf("magma_zgehrd returned error %lld: %s.\n",
(long long) info, magma_strerror( info ));
}
/* =====================================================================
Check the factorization
=================================================================== */
if ( opts.check ) {
ltwork = 2*N*N;
TESTING_CHECK( magma_zmalloc_pinned( &h_Q, lda*N ));
TESTING_CHECK( magma_zmalloc_cpu( &twork, ltwork ));
#ifdef COMPLEX
TESTING_CHECK( magma_dmalloc_cpu( &rwork, N ));
#endif
lapackf77_zlacpy( MagmaFullStr, &N, &N, h_R, &lda, h_Q, &lda );
for( int j = 0; j < N-1; ++j )
for( int i = j+2; i < N; ++i )
h_R[i+j*lda] = MAGMA_Z_ZERO;
if ( opts.version == 1 ) {
if ( opts.ngpu != 1 ) {
magma_zsetmatrix( nb, N, T, nb, dT, nb, opts.queue );
}
magma_zunghr( N, ione, N, h_Q, lda, tau, dT, nb, &info );
}
else {
// for magma_zgehrd2, no dT array
lapackf77_zunghr( &N, &ione, &N, h_Q, &lda, tau, h_work, &lwork, &info );
}
if (info != 0) {
printf("magma_zunghr returned error %lld: %s.\n",
(long long) info, magma_strerror( info ));
return -1;
}
lapackf77_zhst01( &N, &ione, &N,
h_A, &lda, h_R, &lda,
h_Q, &lda, twork, <work,
#ifdef COMPLEX
rwork,
#endif
result );
magma_free_pinned( h_Q );
magma_free_cpu( twork );
#ifdef COMPLEX
magma_free_cpu( rwork );
#endif
// lapack normalizes by eps
result[0] *= eps;
result[1] *= eps;
}
/* =====================================================================
Performs operation using LAPACK
=================================================================== */
if ( opts.lapack ) {
cpu_time = magma_wtime();
lapackf77_zgehrd( &N, &ione, &N, h_A, &lda, tau, h_work, &lwork, &info );
cpu_time = magma_wtime() - cpu_time;
cpu_perf = gflops / cpu_time;
if (info != 0) {
printf("lapackf77_zgehrd returned error %lld: %s.\n",
(long long) info, magma_strerror( info ));
}
}
/* =====================================================================
Print performance and error.
=================================================================== */
if ( opts.lapack ) {
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 );
}
if ( opts.check ) {
bool okay = (result[0] < tol) && (result[1] < tol);
status += ! okay;
printf(" %8.2e %8.2e %s\n",
result[0], result[1],
(okay ? "ok" : "failed") );
}
else {
printf(" --- ---\n");
}
magma_free_cpu( h_A );
magma_free_cpu( tau );
magma_free_cpu( T );
magma_free_pinned( h_R );
magma_free_pinned( h_work );
magma_free( dT );
fflush( stdout );
}
if ( opts.niter > 1 ) {
printf( "\n" );
}
}
opts.cleanup();
TESTING_CHECK( magma_finalize() );
return status;
}
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