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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
*/
// 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 zgelqf
*/
int main( int argc, char** argv)
{
TESTING_CHECK( magma_init() );
magma_print_environment();
const double d_neg_one = MAGMA_D_NEG_ONE;
const double d_one = MAGMA_D_ONE;
const magmaDoubleComplex c_neg_one = MAGMA_Z_NEG_ONE;
const magmaDoubleComplex c_one = MAGMA_Z_ONE;
const magmaDoubleComplex c_zero = MAGMA_Z_ZERO;
real_Double_t gflops, gpu_perf, gpu_time, cpu_perf=0, cpu_time=0;
double Anorm, error=0, error2=0;
magmaDoubleComplex *h_A, *h_R, *tau, *h_work, tmp[1], unused[1];
magma_int_t M, N, n2, lda, lwork, info, min_mn, nb;
int status = 0;
magma_opts opts;
opts.parse_opts( argc, argv );
double tol = opts.tolerance * lapackf77_dlamch("E");
printf("%% M N CPU Gflop/s (sec) GPU Gflop/s (sec) |L - A*Q^H| |I - Q*Q^H|\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];
min_mn = min(M, N);
lda = M;
n2 = lda*N;
nb = magma_get_zgeqrf_nb( M, N );
gflops = FLOPS_ZGELQF( M, N ) / 1e9;
// query for workspace size
lwork = -1;
lapackf77_zgelqf( &M, &N, unused, &M, unused, tmp, &lwork, &info );
lwork = (magma_int_t)MAGMA_Z_REAL( tmp[0] );
lwork = max( lwork, M*nb );
TESTING_CHECK( magma_zmalloc_cpu( &tau, min_mn ));
TESTING_CHECK( magma_zmalloc_cpu( &h_A, n2 ));
TESTING_CHECK( magma_zmalloc_pinned( &h_R, n2 ));
TESTING_CHECK( magma_zmalloc_pinned( &h_work, lwork ));
/* Initialize the matrix */
magma_generate_matrix( opts, M, N, h_A, lda );
lapackf77_zlacpy( MagmaFullStr, &M, &N, h_A, &lda, h_R, &lda );
/* ====================================================================
Performs operation using MAGMA
=================================================================== */
gpu_time = magma_wtime();
magma_zgelqf( M, 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_zgelqf returned error %lld: %s.\n",
(long long) info, magma_strerror( info ));
}
/* =====================================================================
Check the result, following zlqt01 except using the reduced Q.
This works for any M,N (square, tall, wide).
=================================================================== */
if ( opts.check ) {
magma_int_t ldq = min_mn;
magma_int_t ldl = M;
magmaDoubleComplex *Q, *L;
double *work;
TESTING_CHECK( magma_zmalloc_cpu( &Q, ldq*N )); // K by N
TESTING_CHECK( magma_zmalloc_cpu( &L, ldl*min_mn )); // M by K
TESTING_CHECK( magma_dmalloc_cpu( &work, min_mn ));
// generate K by N matrix Q, where K = min(M,N)
lapackf77_zlacpy( "Upper", &min_mn, &N, h_R, &lda, Q, &ldq );
lapackf77_zunglq( &min_mn, &N, &min_mn, Q, &ldq, tau, h_work, &lwork, &info );
assert( info == 0 );
// copy N by K matrix L
lapackf77_zlaset( "Upper", &M, &min_mn, &c_zero, &c_zero, L, &ldl );
lapackf77_zlacpy( "Lower", &M, &min_mn, h_R, &lda, L, &ldl );
// error = || L - A*Q^H || / (N * ||A||)
blasf77_zgemm( "NoTrans", "Conj", &M, &min_mn, &N,
&c_neg_one, h_A, &lda, Q, &ldq, &c_one, L, &ldl );
Anorm = lapackf77_zlange( "1", &M, &N, h_A, &lda, work );
error = lapackf77_zlange( "1", &M, &min_mn, L, &ldl, work );
if ( N > 0 && Anorm > 0 )
error /= (N*Anorm);
// set L = I (K by K), then L = I - Q*Q^H
// error = || I - Q*Q^H || / N
lapackf77_zlaset( "Upper", &min_mn, &min_mn, &c_zero, &c_one, L, &ldl );
blasf77_zherk( "Upper", "NoTrans", &min_mn, &N, &d_neg_one, Q, &ldq, &d_one, L, &ldl );
error2 = safe_lapackf77_zlanhe( "1", "Upper", &min_mn, L, &ldl, work );
if ( N > 0 )
error2 /= N;
magma_free_cpu( Q ); Q = NULL;
magma_free_cpu( L ); L = NULL;
magma_free_cpu( work ); work = NULL;
}
/* =====================================================================
Performs operation using LAPACK
=================================================================== */
if ( opts.lapack ) {
cpu_time = magma_wtime();
lapackf77_zgelqf( &M, &N, h_A, &lda, tau, h_work, &lwork, &info );
cpu_time = magma_wtime() - cpu_time;
cpu_perf = gflops / cpu_time;
if (info != 0) {
printf("lapack_zgelqf returned error %lld: %s.\n",
(long long) info, magma_strerror( info ));
}
}
/* =====================================================================
Print performance and error.
=================================================================== */
printf("%5lld %5lld ", (long long) M, (long long) N );
if ( opts.lapack ) {
printf( "%7.2f (%7.2f)", cpu_perf, cpu_time );
}
else {
printf(" --- ( --- )" );
}
printf( " %7.2f (%7.2f) ", gpu_perf, gpu_time );
if ( opts.check ) {
bool okay = (error < tol && error2 < tol);
status += ! okay;
printf( "%11.2e %11.2e %s\n", error, error2, (okay ? "ok" : "failed") );
}
else {
printf( " ---\n" );
}
magma_free_cpu( tau );
magma_free_cpu( h_A );
magma_free_pinned( h_R );
magma_free_pinned( h_work );
fflush( stdout );
}
if ( opts.niter > 1 ) {
printf( "\n" );
}
}
opts.cleanup();
TESTING_CHECK( magma_finalize() );
return status;
}
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