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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"
/* ////////////////////////////////////////////////////////////////////////////
-- Testing zgeqrf
*/
int main( int argc, char** argv)
{
TESTING_CHECK( magma_init() );
magma_print_environment();
// Constants
const magmaDoubleComplex c_zero = MAGMA_Z_ZERO;
const magmaDoubleComplex c_one = MAGMA_Z_ONE;
const magmaDoubleComplex c_neg_one = MAGMA_Z_NEG_ONE;
const double d_one = 1;
const double d_neg_one = -1;
// Local variables
real_Double_t gflops, gpu_perf, gpu_time, cpu_perf, cpu_time;
double Anorm, error=0, error2=0;
magmaDoubleComplex *h_A, *h_R, *tau, *dtau, *h_work, tmp[1];
magmaDoubleComplex_ptr d_A;
magmaDouble_ptr dwork;
magma_int_t M, N, n2, lda, ldda, lwork, info, min_mn;
int status = 0;
magma_opts opts;
opts.parse_opts( argc, argv );
double tol = opts.tolerance * lapackf77_dlamch("E");
printf("%% M N CPU Gflop/s (ms) GPU Gflop/s (ms) |R - Q^H*A| |I - Q^H*Q|\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;
ldda = magma_roundup( M, opts.align ); // multiple of 32 by default
gflops = FLOPS_ZGEQRF( M, N ) / 1e9;
// query for workspace size
lwork = -1;
lapackf77_zgeqrf( &M, &N, tmp, &M, tmp, tmp, &lwork, &info );
lwork = (magma_int_t)MAGMA_Z_REAL( tmp[0] );
TESTING_CHECK( magma_zmalloc_cpu( &tau, min_mn ));
TESTING_CHECK( magma_zmalloc_cpu( &h_A, n2 ));
TESTING_CHECK( magma_zmalloc_cpu( &h_work, lwork ));
TESTING_CHECK( magma_zmalloc_pinned( &h_R, n2 ));
TESTING_CHECK( magma_zmalloc( &d_A, ldda*N ));
TESTING_CHECK( magma_zmalloc( &dtau, min_mn ));
TESTING_CHECK( magma_dmalloc( &dwork, min_mn ));
/* 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_zgeqr2_gpu( M, N, d_A, ldda, dtau, dwork, opts.queue, &info );
magma_zsetmatrix( M, N, h_R, lda, d_A, ldda, opts.queue );
}
/* ====================================================================
Performs operation using MAGMA
=================================================================== */
gpu_time = magma_sync_wtime( opts.queue );
magma_zgeqr2_gpu( M, N, d_A, ldda, dtau, dwork, opts.queue, &info );
gpu_time = magma_sync_wtime( opts.queue ) - gpu_time;
gpu_perf = gflops / gpu_time;
if (info != 0) {
printf("magma_zgeqr2_gpu returned error %lld: %s.\n",
(long long) info, magma_strerror( info ));
}
/* =====================================================================
Check the result, following zqrt01 except using the reduced Q.
This works for any M,N (square, tall, wide).
=================================================================== */
if ( opts.check ) {
magma_zgetmatrix( M, N, d_A, ldda, h_R, lda, opts.queue );
magma_zgetvector( min_mn, dtau, 1, tau, 1, opts.queue );
magma_int_t ldq = M;
magma_int_t ldr = min_mn;
magmaDoubleComplex *Q, *R;
double *cwork;
TESTING_CHECK( magma_zmalloc_cpu( &Q, ldq*min_mn )); // M by K
TESTING_CHECK( magma_zmalloc_cpu( &R, ldr*N )); // K by N
TESTING_CHECK( magma_dmalloc_cpu( &cwork, min_mn ));
// generate M by K matrix Q, where K = min(M,N)
lapackf77_zlacpy( "Lower", &M, &min_mn, h_R, &lda, Q, &ldq );
lapackf77_zungqr( &M, &min_mn, &min_mn, Q, &ldq, tau, h_work, &lwork, &info );
assert( info == 0 );
// copy K by N matrix R
lapackf77_zlaset( "Lower", &min_mn, &N, &c_zero, &c_zero, R, &ldr );
lapackf77_zlacpy( "Upper", &min_mn, &N, h_R, &lda, R, &ldr );
// error = || R - Q^H*A || / (N * ||A||)
blasf77_zgemm( "Conj", "NoTrans", &min_mn, &N, &M,
&c_neg_one, Q, &ldq, h_A, &lda, &c_one, R, &ldr );
Anorm = lapackf77_zlange( "1", &M, &N, h_A, &lda, cwork );
error = lapackf77_zlange( "1", &min_mn, &N, R, &ldr, cwork );
if ( N > 0 && Anorm > 0 )
error /= (N*Anorm);
// set R = I (K by K identity), then R = I - Q^H*Q
// error = || I - Q^H*Q || / N
lapackf77_zlaset( "Upper", &min_mn, &min_mn, &c_zero, &c_one, R, &ldr );
blasf77_zherk( "Upper", "Conj", &min_mn, &M, &d_neg_one, Q, &ldq, &d_one, R, &ldr );
error2 = safe_lapackf77_zlanhe( "1", "Upper", &min_mn, R, &ldr, cwork );
if ( N > 0 )
error2 /= N;
magma_free_cpu( Q ); Q = NULL;
magma_free_cpu( R ); R = NULL;
magma_free_cpu( cwork ); cwork = NULL;
}
if ( opts.lapack ) {
/* =====================================================================
Performs operation using LAPACK
=================================================================== */
cpu_time = magma_wtime();
lapackf77_zgeqrf(&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("lapackf77_zgeqrf returned error %lld: %s.\n",
(long long) info, magma_strerror( info ));
}
printf("%5lld %5lld %7.2f (%7.2f) %7.2f (%7.2f)",
(long long) M, (long long) N, cpu_perf, 1000.*cpu_time, gpu_perf, 1000.*gpu_time );
}
else {
printf("%5lld %5lld --- ( --- ) %7.2f (%7.2f)",
(long long) M, (long long) N, gpu_perf, 1000.*gpu_time );
}
if ( opts.check ) {
bool okay = (error < tol) && (error2 < tol);
status += ! okay;
printf(" %8.2e %8.2e %s\n",
error, error2, (okay ? "ok" : "failed"));
}
else {
printf(" --- \n");
}
magma_free_cpu( tau );
magma_free_cpu( h_A );
magma_free_cpu( h_work );
magma_free_pinned( h_R );
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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