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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 -> c d s
*/
// 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 "magma_operators.h"
#include "testings.h"
/* ////////////////////////////////////////////////////////////////////////////
-- Testing zunmbr
*/
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 Cnorm, error, dwork[1];
magmaDoubleComplex c_neg_one = MAGMA_Z_NEG_ONE;
magma_int_t ione = 1;
magma_int_t m, n, k, mi, ni, mm, nn, nq, size, info;
magma_int_t ISEED[4] = {0,0,0,1};
magma_int_t nb, ldc, lda, lwork, lwork_max;
magmaDoubleComplex *C, *R, *A, *work, *tau, *tauq, *taup;
double *d, *e;
int status = 0;
magma_opts opts;
opts.parse_opts( argc, argv );
// need slightly looser bound (60*eps instead of 30*eps) for some tests
opts.tolerance = max( 60., opts.tolerance );
double tol = opts.tolerance * lapackf77_dlamch("E");
// test all combinations of input parameters
magma_vect_t vect [] = { MagmaQ, MagmaP };
magma_side_t side [] = { MagmaLeft, MagmaRight };
magma_trans_t trans[] = { Magma_ConjTrans, MagmaNoTrans };
printf("%% M N K vect side trans CPU Gflop/s (sec) GPU Gflop/s (sec) ||R||_F / ||QC||_F\n");
printf("%%==============================================================================================\n");
for( int itest = 0; itest < opts.ntest; ++itest ) {
for( int ivect = 0; ivect < 2; ++ivect ) {
for( int iside = 0; iside < 2; ++iside ) {
for( int itran = 0; itran < 2; ++itran ) {
for( int iter = 0; iter < opts.niter; ++iter ) {
m = opts.msize[itest];
n = opts.nsize[itest];
k = opts.ksize[itest];
nb = magma_get_zgebrd_nb( m, n );
ldc = m;
// A is mm x nn == nq x k (vect=Q) or k x nq (vect=P)
// where nq=m (left) or nq=n (right)
nq = (side[iside] == MagmaLeft ? m : n );
mm = (vect[ivect] == MagmaQ ? nq : k );
nn = (vect[ivect] == MagmaQ ? k : nq);
lda = mm;
// MBR calls either MQR or MLQ in various ways
if ( vect[ivect] == MagmaQ ) {
if ( nq >= k ) {
gflops = FLOPS_ZUNMQR( m, n, k, side[iside] ) / 1e9;
}
else {
if ( side[iside] == MagmaLeft ) {
mi = m - 1;
ni = n;
}
else {
mi = m;
ni = n - 1;
}
gflops = FLOPS_ZUNMQR( mi, ni, nq-1, side[iside] ) / 1e9;
}
}
else {
if ( nq > k ) {
gflops = FLOPS_ZUNMLQ( m, n, k, side[iside] ) / 1e9;
}
else {
if ( side[iside] == MagmaLeft ) {
mi = m - 1;
ni = n;
}
else {
mi = m;
ni = n - 1;
}
gflops = FLOPS_ZUNMLQ( mi, ni, nq-1, side[iside] ) / 1e9;
}
}
// workspace for gebrd is (mm + nn)*nb
// workspace for unmbr is m*nb or n*nb, depending on side
lwork_max = max( (mm + nn)*nb, max( m*nb, n*nb ));
// this rounds it up slightly if needed to agree with lwork query below
lwork_max = magma_int_t( real( magma_zmake_lwork( lwork_max )));
TESTING_CHECK( magma_zmalloc_cpu( &C, ldc*n ));
TESTING_CHECK( magma_zmalloc_cpu( &R, ldc*n ));
TESTING_CHECK( magma_zmalloc_cpu( &A, lda*nn ));
TESTING_CHECK( magma_zmalloc_cpu( &work, lwork_max ));
TESTING_CHECK( magma_dmalloc_cpu( &d, min(mm,nn) ));
TESTING_CHECK( magma_dmalloc_cpu( &e, min(mm,nn) ));
TESTING_CHECK( magma_zmalloc_cpu( &tauq, min(mm,nn) ));
TESTING_CHECK( magma_zmalloc_cpu( &taup, min(mm,nn) ));
// C is full, m x n
size = ldc*n;
lapackf77_zlarnv( &ione, ISEED, &size, C );
lapackf77_zlacpy( "Full", &m, &n, C, &ldc, R, &ldc );
// A is mm x nn
magma_generate_matrix( opts, mm, nn, A, lda );
// compute BRD factorization to get Householder vectors in A, tauq, taup
//lapackf77_zgebrd( &mm, &nn, A, &lda, d, e, tauq, taup, work, &lwork_max, &info );
magma_zgebrd( mm, nn, A, lda, d, e, tauq, taup, work, lwork_max, &info );
if (info != 0) {
printf("magma_zgebrd returned error %lld: %s.\n",
(long long) info, magma_strerror( info ));
}
if ( vect[ivect] == MagmaQ ) {
tau = tauq;
} else {
tau = taup;
}
/* =====================================================================
Performs operation using LAPACK
=================================================================== */
cpu_time = magma_wtime();
lapackf77_zunmbr( lapack_vect_const( vect[ivect] ),
lapack_side_const( side[iside] ),
lapack_trans_const( trans[itran] ),
&m, &n, &k,
A, &lda, tau, C, &ldc, work, &lwork_max, &info );
cpu_time = magma_wtime() - cpu_time;
cpu_perf = gflops / cpu_time;
if (info != 0) {
printf("lapackf77_zunmbr returned error %lld: %s.\n",
(long long) info, magma_strerror( info ));
}
/* ====================================================================
Performs operation using MAGMA
=================================================================== */
// query for workspace size
lwork = -1;
magma_zunmbr( vect[ivect], side[iside], trans[itran],
m, n, k,
A, lda, tau, R, ldc, work, lwork, &info );
if (info != 0) {
printf("magma_zunmbr (lwork query) returned error %lld: %s.\n",
(long long) info, magma_strerror( info ));
}
lwork = (magma_int_t) MAGMA_Z_REAL( work[0] );
if ( lwork < 0 || lwork > lwork_max ) {
printf("Warning: optimal lwork %lld > allocated lwork_max %lld\n", (long long) lwork, (long long) lwork_max );
lwork = lwork_max;
}
gpu_time = magma_wtime();
magma_zunmbr( vect[ivect], side[iside], trans[itran],
m, n, k,
A, lda, tau, R, ldc, work, lwork, &info );
gpu_time = magma_wtime() - gpu_time;
gpu_perf = gflops / gpu_time;
if (info != 0) {
printf("magma_zunmbr returned error %lld: %s.\n",
(long long) info, magma_strerror( info ));
}
/* =====================================================================
compute relative error |QC_magma - QC_lapack| / |QC_lapack|
=================================================================== */
size = ldc*n;
blasf77_zaxpy( &size, &c_neg_one, C, &ione, R, &ione );
Cnorm = lapackf77_zlange( "Fro", &m, &n, C, &ldc, dwork );
error = lapackf77_zlange( "Fro", &m, &n, R, &ldc, dwork ) / (magma_dsqrt(m*n) * Cnorm);
printf( "%5lld %5lld %5lld %c %4c %5c %7.2f (%7.2f) %7.2f (%7.2f) %8.2e %s\n",
(long long) m, (long long) n, (long long) k,
lapacke_vect_const( vect[ivect] ),
lapacke_side_const( side[iside] ),
lapacke_trans_const( trans[itran] ),
cpu_perf, cpu_time, gpu_perf, gpu_time,
error, (error < tol ? "ok" : "failed") );
status += ! (error < tol);
magma_free_cpu( C );
magma_free_cpu( R );
magma_free_cpu( A );
magma_free_cpu( work );
magma_free_cpu( d );
magma_free_cpu( e );
magma_free_cpu( taup );
magma_free_cpu( tauq );
fflush( stdout );
}
if ( opts.niter > 1 ) {
printf( "\n" );
}
}}} // end ivect, iside, itran
printf( "\n" );
}
opts.cleanup();
TESTING_CHECK( magma_finalize() );
return status;
}
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