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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
*/
// 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 TEST_ZGEGQR_EXPERT_API
/* ////////////////////////////////////////////////////////////////////////////
-- Testing zgegqr
*/
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 error, e1, e2, e3, e4, e5, *work;
magmaDoubleComplex c_neg_one = MAGMA_Z_NEG_ONE;
magmaDoubleComplex c_one = MAGMA_Z_ONE;
magmaDoubleComplex c_zero = MAGMA_Z_ZERO;
magmaDoubleComplex *h_A, *h_R, *tau, *dtau, *h_work, *h_rwork, tmp[1], unused[1];
magmaDoubleComplex_ptr d_A, dwork;
magma_int_t M, N, n2, lda, ldda, lwork, info, min_mn;
magma_int_t ione = 1, ldwork;
int status = 0;
magma_opts opts;
opts.parse_opts( argc, argv );
opts.lapack |= opts.check; // check (-c) implies lapack (-l)
// versions 1...4 are valid
if (opts.version < 1 || opts.version > 4) {
printf("Unknown version %lld; exiting\n", (long long) opts.version );
return -1;
}
double tol = 10. * opts.tolerance * lapackf77_dlamch("E");
printf("%% version %lld\n", (long long) opts.version );
#ifdef TEST_ZGEGQR_EXPERT_API
printf("%% Testing expert API\n");
#endif
printf("%% M N CPU Gflop/s (ms) GPU Gflop/s (ms) ||I-Q'Q||_F / M ||I-Q'Q||_I / M ||A-Q R||_I\n");
printf("%% MAGMA / LAPACK MAGMA / LAPACK\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];
if (N > 128) {
printf("%5lld %5lld skipping because zgegqr requires N <= 128\n",
(long long) M, (long long) N);
continue;
}
if (M < N) {
printf("%5lld %5lld skipping because zgegqr requires M >= N\n",
(long long) M, (long long) N);
continue;
}
min_mn = min(M, N);
lda = M;
n2 = lda*N;
ldda = magma_roundup( M, opts.align ); // multiple of 32 by default
gflops = FLOPS_ZGEQRF( M, N ) / 1e9 + FLOPS_ZUNGQR( M, N, N ) / 1e9;
// query for workspace size
ldwork = N*N;
lwork = -1;
lapackf77_zgeqrf( &M, &N, unused, &M, unused, tmp, &lwork, &info );
lwork = (magma_int_t)MAGMA_Z_REAL( tmp[0] );
magma_int_t gegqr_lhwork[1] = {-1}; // size in bytes
magma_int_t gegqr_ldwork[1] = {-1}; // size in bytes
magma_zgegqr_expert_gpu_work(
opts.version, M, N, NULL, ldda,
NULL, gegqr_lhwork,
NULL, gegqr_ldwork, &info, opts.queue );
lwork = max( lwork, magma_ceildiv(gegqr_lhwork[0], sizeof(magmaDoubleComplex)) );
ldwork = max( ldwork, magma_ceildiv(gegqr_ldwork[0], sizeof(magmaDoubleComplex)) );
// update gegqr_lhwork & gegqr_ldwork
gegqr_lhwork[0] = lwork * sizeof(magmaDoubleComplex);
gegqr_ldwork[0] = ldwork * sizeof(magmaDoubleComplex);
TESTING_CHECK( magma_zmalloc_pinned( &tau, min_mn ));
TESTING_CHECK( magma_zmalloc_pinned( &h_work, lwork ));
TESTING_CHECK( magma_zmalloc_pinned( &h_rwork, lwork ));
TESTING_CHECK( magma_zmalloc_cpu( &h_A, n2 ));
TESTING_CHECK( magma_zmalloc_cpu( &h_R, n2 ));
TESTING_CHECK( magma_dmalloc_cpu( &work, M ));
TESTING_CHECK( magma_zmalloc( &d_A, ldda*N ));
TESTING_CHECK( magma_zmalloc( &dtau, min_mn ));
TESTING_CHECK( magma_zmalloc( &dwork, ldwork ));
/* Initialize the matrix */
magma_generate_matrix( opts, M, N, h_A, lda );
lapackf77_zlacpy( MagmaFullStr, &M, &N, h_A, &lda, h_R, &lda );
magma_zsetmatrix( M, N, h_R, lda, d_A, ldda, opts.queue );
// warmup
if ( opts.warmup ) {
magma_zgegqr_gpu( 1, M, N, d_A, ldda, dwork, h_work, &info );
magma_zsetmatrix( M, N, h_R, lda, d_A, ldda, opts.queue );
}
/* ====================================================================
Performs operation using MAGMA
=================================================================== */
gpu_time = magma_sync_wtime( opts.queue );
#ifndef TEST_ZGEGQR_EXPERT_API
magma_zgegqr_gpu( opts.version, M, N, d_A, ldda, dwork, h_rwork, &info );
#else
magma_zgegqr_expert_gpu_work(
opts.version, M, N, d_A, ldda,
(void*)h_rwork, gegqr_lhwork,
(void*)dwork, gegqr_ldwork, &info, opts.queue );
#endif
gpu_time = magma_sync_wtime( opts.queue ) - gpu_time;
gpu_perf = gflops / gpu_time;
if (info != 0) {
printf("magma_zgegqr returned error %lld: %s.\n",
(long long) info, magma_strerror( info ));
}
magma_zgetmatrix( M, N, d_A, ldda, h_R, lda, opts.queue );
// Regenerate R
// blasf77_zgemm("t", "n", &N, &N, &M, &c_one, h_R, &lda, h_A, &lda, &c_zero, h_rwork, &N);
// magma_zprint(N, N, h_work, N);
blasf77_ztrmm("r", "u", "n", "n", &M, &N, &c_one, h_rwork, &N, h_R, &lda);
blasf77_zaxpy( &n2, &c_neg_one, h_A, &ione, h_R, &ione );
e5 = lapackf77_zlange("i", &M, &N, h_R, &lda, work) /
lapackf77_zlange("i", &M, &N, h_A, &lda, work);
magma_zgetmatrix( M, N, d_A, ldda, h_R, lda, opts.queue );
if ( opts.lapack ) {
/* =====================================================================
Performs operation using LAPACK
=================================================================== */
cpu_time = magma_wtime();
/* Orthogonalize on the CPU */
lapackf77_zgeqrf(&M, &N, h_A, &lda, tau, h_work, &lwork, &info);
lapackf77_zungqr(&M, &N, &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_zungqr returned error %lld: %s.\n",
(long long) info, magma_strerror( info ));
}
/* =====================================================================
Check the result compared to LAPACK
=================================================================== */
blasf77_zgemm("c", "n", &N, &N, &M, &c_one, h_R, &lda, h_R, &lda, &c_zero, h_work, &N);
for (magma_int_t ii = 0; ii < N*N; ii += N+1 ) {
h_work[ii] = MAGMA_Z_SUB(h_work[ii], c_one);
}
e1 = lapackf77_zlange("f", &N, &N, h_work, &N, work) / N;
e3 = lapackf77_zlange("i", &N, &N, h_work, &N, work) / N;
blasf77_zgemm("c", "n", &N, &N, &M, &c_one, h_A, &lda, h_A, &lda, &c_zero, h_work, &N);
for (magma_int_t ii = 0; ii < N*N; ii += N+1 ) {
h_work[ii] = MAGMA_Z_SUB(h_work[ii], c_one);
}
e2 = lapackf77_zlange("f", &N, &N, h_work, &N, work) / N;
e4 = lapackf77_zlange("i", &N, &N, h_work, &N, work) / N;
if (opts.version != 4)
error = e1;
else
error = e1 / (10.*max(M,N));
printf("%5lld %5lld %7.2f (%7.2f) %7.2f (%7.2f) %8.2e / %8.2e %8.2e / %8.2e %8.2e %s\n",
(long long) M, (long long) N, cpu_perf, 1000.*cpu_time, gpu_perf, 1000.*gpu_time,
e1, e2, e3, e4, e5,
(error < tol ? "ok" : "failed"));
status += ! (error < tol);
}
else {
printf("%5lld %5lld --- ( --- ) %7.2f (%7.2f) --- \n",
(long long) M, (long long) N, gpu_perf, 1000.*gpu_time );
}
magma_free_pinned( tau );
magma_free_pinned( h_work );
magma_free_pinned( h_rwork );
magma_free_cpu( h_A );
magma_free_cpu( h_R );
magma_free_cpu( work );
magma_free( d_A );
magma_free( dtau );
magma_free( dwork );
fflush( stdout );
}
if ( opts.niter > 1 ) {
printf( "\n" );
}
}
opts.cleanup();
TESTING_CHECK( magma_finalize() );
return status;
}
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