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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 -> s d c
@author Stan Tomov
@author Mathieu Faverge
@author Mark Gates
*/
// includes, system
#include <stdlib.h>
#include <stdio.h>
#include <string.h>
#include <math.h>
#include <assert.h>
// includes, project
#include "flops.h"
#include "magma_v2.h"
#include "magma_lapack.h"
#include "testings.h"
/* ////////////////////////////////////////////////////////////////////////////
-- Testing zunglq
*/
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;
double Anorm, error, work[1];
magmaDoubleComplex c_neg_one = MAGMA_Z_NEG_ONE;
magmaDoubleComplex *hA, *hR, *tau, *h_work;
magmaDoubleComplex_ptr dA, dT;
magma_int_t m, n, k;
magma_int_t n2, lda, ldda, lwork, min_mn, nb, info;
magma_int_t ione = 1;
int status = 0;
magma_opts opts;
opts.parse_opts( argc, argv );
double tol = opts.tolerance * lapackf77_dlamch("E");
opts.lapack |= opts.check; // check (-c) implies lapack (-l)
printf("%% m n k CPU Gflop/s (sec) GPU Gflop/s (sec) ||R|| / ||A||\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];
k = opts.ksize[itest];
if ( n < m || m < k ) {
printf( "%5lld %5lld %5lld skipping because n < m or m < k\n", (long long) m, (long long) n, (long long) k );
continue;
}
lda = m;
ldda = magma_roundup( m, opts.align ); // multiple of 32 by default
n2 = lda*n;
min_mn = min(m, n);
nb = magma_get_zgelqf_nb( m, n );
lwork = m*nb;
gflops = FLOPS_ZUNGLQ( m, n, k ) / 1e9;
TESTING_CHECK( magma_zmalloc_pinned( &h_work, lwork ));
TESTING_CHECK( magma_zmalloc_pinned( &hR, lda*n ));
TESTING_CHECK( magma_zmalloc_cpu( &hA, lda*n ));
TESTING_CHECK( magma_zmalloc_cpu( &tau, min_mn ));
TESTING_CHECK( magma_zmalloc( &dA, ldda*n ));
TESTING_CHECK( magma_zmalloc( &dT, ( 2*min_mn + magma_roundup( n, 32 ) )*nb ));
magma_generate_matrix( opts, m, n, hA, lda );
lapackf77_zlacpy( MagmaFullStr, &m, &n, hA, &lda, hR, &lda );
Anorm = lapackf77_zlange("f", &m, &n, hA, &lda, work );
/* ====================================================================
Performs operation using MAGMA
=================================================================== */
// first, get LQ factors in both hA and hR
magma_zsetmatrix( m, n, hA, lda, dA, ldda, opts.queue );
magma_zgelqf_gpu( m, n, dA, ldda, tau, h_work, lwork, &info );
if (info != 0) {
printf("magma_zgelqf_gpu returned error %lld: %s.\n",
(long long) info, magma_strerror( info ));
}
magma_zgetmatrix( m, n, dA, ldda, hA, lda, opts.queue );
lapackf77_zlacpy( MagmaFullStr, &m, &n, hA, &lda, hR, &lda );
gpu_time = magma_wtime();
magma_zunglq( m, n, k, hR, lda, tau, h_work, lwork, &info );
gpu_time = magma_wtime() - gpu_time;
gpu_perf = gflops / gpu_time;
if (info != 0) {
printf("magma_zunglq returned error %lld: %s.\n",
(long long) info, magma_strerror( info ));
}
/* =====================================================================
Performs operation using LAPACK
=================================================================== */
if ( opts.lapack ) {
cpu_time = magma_wtime();
lapackf77_zunglq( &m, &n, &k, hA, &lda, tau, h_work, &lwork, &info );
cpu_time = magma_wtime() - cpu_time;
cpu_perf = gflops / cpu_time;
if (info != 0) {
printf("lapackf77_zunglq returned error %lld: %s.\n",
(long long) info, magma_strerror( info ));
}
if ( opts.verbose ) {
printf( "R=" ); magma_zprint( m, n, hR, lda );
printf( "A=" ); magma_zprint( m, n, hA, lda );
}
// compute relative error |R|/|A| := |Q_magma - Q_lapack|/|A|
blasf77_zaxpy( &n2, &c_neg_one, hA, &ione, hR, &ione );
error = lapackf77_zlange("f", &m, &n, hR, &lda, work) / Anorm;
if ( opts.verbose ) {
printf( "diff=" ); magma_zprint( m, n, hR, lda );
}
bool okay = (error < tol);
status += ! okay;
printf("%5lld %5lld %5lld %7.1f (%7.2f) %7.1f (%7.2f) %8.2e %s\n",
(long long) m, (long long) n, (long long) k,
cpu_perf, cpu_time, gpu_perf, gpu_time,
error, (okay ? "ok" : "failed"));
}
else {
printf("%5lld %5lld %5lld --- ( --- ) %7.1f (%7.2f) --- \n",
(long long) m, (long long) n, (long long) k,
gpu_perf, gpu_time );
}
magma_free_pinned( h_work );
magma_free_pinned( hR );
magma_free_cpu( hA );
magma_free_cpu( tau );
magma_free( dA );
magma_free( dT );
fflush( stdout );
}
if ( opts.niter > 1 ) {
printf( "\n" );
}
}
opts.cleanup();
TESTING_CHECK( magma_finalize() );
return status;
}
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