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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 Stan Tomov
@author Mark Gates
@precisions normal z -> s d c
*/
// includes, system
#include <stdlib.h>
#include <stdio.h>
#include <string.h>
#include <math.h>
// includes, project
#include "magma_v2.h"
#include "magma_lapack.h"
#include "magma_operators.h"
#include "testings.h"
#define COMPLEX
/* ////////////////////////////////////////////////////////////////////////////
-- Testing zheevd
*/
int main( int argc, char** argv)
{
TESTING_CHECK( magma_init() );
magma_print_environment();
/* Constants */
const double d_zero = 0;
const magma_int_t izero = 0;
const magma_int_t ione = 1;
/* Local variables */
real_Double_t gpu_time, cpu_time;
magmaDoubleComplex *h_A, *h_R, *h_Z, *h_work, aux_work[1], unused[1];
#ifdef COMPLEX
double *rwork, aux_rwork[1];
magma_int_t lrwork;
#endif
double *w1, *w2, result[4]={0, 0, 0, 0}, eps, abstol, runused[1];
magma_int_t *iwork, *isuppz, *ifail, aux_iwork[1];
magma_int_t N, Nfound, info, lwork, liwork, lda;
eps = lapackf77_dlamch( "E" );
int status = 0;
magma_opts opts;
opts.parse_opts( argc, argv );
// checking NoVec requires LAPACK
opts.lapack |= (opts.check && opts.jobz == MagmaNoVec);
#ifdef REAL
if (opts.version == 3 || opts.version == 4) {
printf("%% magma_zheevr and magma_zheevx are not available for real precisions (single, double).\n");
return status;
}
#endif
double tol = opts.tolerance * lapackf77_dlamch("E");
double tolulp = opts.tolerance * lapackf77_dlamch("P");
// pass ngpu = -1 to test multi-GPU code using 1 gpu
magma_int_t abs_ngpu = abs( opts.ngpu );
printf("%% jobz = %s, uplo = %s, ngpu = %lld\n",
lapack_vec_const(opts.jobz), lapack_uplo_const(opts.uplo),
(long long) abs_ngpu);
printf("%% N CPU Time (sec) GPU Time (sec) |S-S_magma| |A-USU^H| |I-U^H U|\n");
printf("%%============================================================================\n");
for( int itest = 0; itest < opts.ntest; ++itest ) {
for( int iter = 0; iter < opts.niter; ++iter ) {
N = opts.nsize[itest];
lda = N;
Nfound = N;
abstol = 0; // auto, in zheevr
magma_range_t range;
magma_int_t il, iu;
double vl, vu;
opts.get_range( N, &range, &vl, &vu, &il, &iu );
// query for workspace sizes
if ( opts.version == 1 || opts.version == 2 ) {
magma_zheevd( opts.jobz, opts.uplo,
N, NULL, lda, NULL, // A, w
aux_work, -1,
#ifdef COMPLEX
aux_rwork, -1,
#endif
aux_iwork, -1,
&info );
if( opts.version == 2 && opts.jobz == MagmaNoVec ) {
// For LAPACK test using zheevx.
#ifdef COMPLEX
aux_rwork[0] = double(7*N);
#endif
aux_iwork[0] = double(5*N);
}
}
else if ( opts.version == 3 ) {
#ifdef COMPLEX
magma_zheevr( opts.jobz, range, opts.uplo,
N, NULL, lda, // A
vl, vu, il, iu, abstol,
&Nfound, NULL, // w
NULL, lda, NULL, // Z, isuppz
aux_work, -1,
#ifdef COMPLEX
aux_rwork, -1,
#endif
aux_iwork, -1,
&info );
#endif
}
else if ( opts.version == 4 ) {
#ifdef COMPLEX
magma_zheevx( opts.jobz, range, opts.uplo,
N, NULL, lda, // A
vl, vu, il, iu, abstol,
&Nfound, NULL, // w
NULL, lda, // Z
aux_work, -1,
#ifdef COMPLEX
aux_rwork,
#endif
aux_iwork,
NULL, // ifail
&info );
// zheevx doesn't query rwork, iwork; set them for consistency
aux_rwork[0] = double(7*N);
aux_iwork[0] = double(5*N);
#endif
}
lwork = (magma_int_t) MAGMA_Z_REAL( aux_work[0] );
#ifdef COMPLEX
lrwork = (magma_int_t) aux_rwork[0];
#endif
liwork = aux_iwork[0];
/* Allocate host memory for the matrix */
TESTING_CHECK( magma_zmalloc_cpu( &h_A, N*lda ));
TESTING_CHECK( magma_dmalloc_cpu( &w1, N ));
TESTING_CHECK( magma_dmalloc_cpu( &w2, N ));
#ifdef COMPLEX
TESTING_CHECK( magma_dmalloc_cpu( &rwork, lrwork ));
#endif
TESTING_CHECK( magma_imalloc_cpu( &iwork, liwork ));
TESTING_CHECK( magma_zmalloc_pinned( &h_R, N*lda ));
TESTING_CHECK( magma_zmalloc_pinned( &h_work, lwork ));
if (opts.version == 2 || opts.version == 4) {
TESTING_CHECK( magma_zmalloc_cpu( &h_Z, N*lda ));
TESTING_CHECK( magma_imalloc_cpu( &ifail, N ));
}
if (opts.version == 3) {
TESTING_CHECK( magma_zmalloc_cpu( &h_Z, N*lda ));
TESTING_CHECK( magma_imalloc_cpu( &isuppz, 2*max(1,N) ));
}
/* Clear eigenvalues, for |S-S_magma| check when fraction < 1. */
lapackf77_dlaset( "Full", &N, &ione, &d_zero, &d_zero, w1, &N );
lapackf77_dlaset( "Full", &N, &ione, &d_zero, &d_zero, w2, &N );
/* Initialize the matrix */
magma_generate_matrix( opts, N, N, h_A, lda );
lapackf77_zlacpy( MagmaFullStr, &N, &N, h_A, &lda, h_R, &lda );
/* ====================================================================
Performs operation using MAGMA
=================================================================== */
gpu_time = magma_wtime();
if (opts.version == 1) {
if (opts.ngpu == 1) {
magma_zheevd( opts.jobz, opts.uplo,
N, h_R, lda, w1,
h_work, lwork,
#ifdef COMPLEX
rwork, lrwork,
#endif
iwork, liwork,
&info );
}
else {
//printf( "magma_zheevd_m, ngpu %lld (%lld)\n", (long long) opts.ngpu, (long long) abs_ngpu );
magma_zheevd_m( abs_ngpu, opts.jobz, opts.uplo,
N, h_R, lda, w1,
h_work, lwork,
#ifdef COMPLEX
rwork, lrwork,
#endif
iwork, liwork,
&info );
}
}
else if ( opts.version == 2 ) { // version 2: zheevdx computes selected eigenvalues/vectors
if (opts.ngpu == 1) {
magma_zheevdx( opts.jobz, range, opts.uplo,
N, h_R, lda,
vl, vu, il, iu,
&Nfound, w1,
h_work, lwork,
#ifdef COMPLEX
rwork, lrwork,
#endif
iwork, liwork,
&info );
}
else {
//printf( "magma_zheevdx_m, ngpu %lld (%lld)\n", (long long) opts.ngpu, (long long) abs_ngpu );
magma_zheevdx_m( abs_ngpu, opts.jobz, range, opts.uplo,
N, h_R, lda,
vl, vu, il, iu,
&Nfound, w1,
h_work, lwork,
#ifdef COMPLEX
rwork, lrwork,
#endif
iwork, liwork,
&info );
}
//printf( "il %lld, iu %lld, Nfound %lld\n", (long long) il, (long long) iu, (long long) Nfound );
}
else if ( opts.version == 3 ) { // version 3: MRRR, computes selected eigenvalues/vectors
// only complex version available
#ifdef COMPLEX
magma_zheevr( opts.jobz, range, opts.uplo,
N, h_R, lda,
vl, vu, il, iu, abstol,
&Nfound, w1,
h_Z, lda, isuppz,
h_work, lwork,
#ifdef COMPLEX
rwork, lrwork,
#endif
iwork, liwork,
&info );
lapackf77_zlacpy( "Full", &N, &N, h_Z, &lda, h_R, &lda );
#endif
}
else if ( opts.version == 4 ) { // version 3: zheevx (QR iteration), computes selected eigenvalues/vectors
// only complex version available
#ifdef COMPLEX
magma_zheevx( opts.jobz, range, opts.uplo,
N, h_R, lda,
vl, vu, il, iu, abstol,
&Nfound, w1,
h_Z, lda,
h_work, lwork,
#ifdef COMPLEX
rwork, /*lrwork,*/
#endif
iwork, /*liwork,*/
ifail,
&info );
lapackf77_zlacpy( "Full", &N, &N, h_Z, &lda, h_R, &lda );
#endif
}
gpu_time = magma_wtime() - gpu_time;
if (info != 0) {
printf("magma_zheevd returned error %lld: %s.\n",
(long long) info, magma_strerror( info ));
}
bool okay = true;
if ( opts.check && opts.jobz != MagmaNoVec ) {
/* =====================================================================
Check the results following the LAPACK's [zcds]drvst routine.
A is factored as A = U S U^H and the following 3 tests computed:
(1) | A - U S U^H | / ( |A| N ) if all eigenvectors were computed
| U^H A U - S | / ( |A| Nfound ) otherwise
(2) | I - U^H U | / ( N )
(3) | S(with U) - S(w/o U) | / | S | // currently disabled, but compares to LAPACK
=================================================================== */
magmaDoubleComplex *work;
TESTING_CHECK( magma_zmalloc_cpu( &work, 2*N*N ));
// e is unused since kband=0; tau is unused since itype=1
if( Nfound == N ) {
lapackf77_zhet21( &ione, lapack_uplo_const(opts.uplo), &N, &izero,
h_A, &lda,
w1, runused,
h_R, &lda,
h_R, &lda,
unused, work,
#ifdef COMPLEX
rwork,
#endif
&result[0] );
} else {
lapackf77_zhet22( &ione, lapack_uplo_const(opts.uplo), &N, &Nfound, &izero,
h_A, &lda,
w1, runused,
h_R, &lda,
h_R, &lda,
unused, work,
#ifdef COMPLEX
rwork,
#endif
&result[0] );
}
result[0] *= eps;
result[1] *= eps;
magma_free_cpu( work ); work=NULL;
// Disable third eigenvalue check that calls routine again --
// it obscures whether error occurs in first call above or in this call.
// But see comparison to LAPACK below.
//
//lapackf77_zlacpy( MagmaFullStr, &N, &N, h_A, &lda, h_R, &lda );
//magma_zheevd( MagmaNoVec, opts.uplo,
// N, h_R, lda, w2,
// h_work, lwork,
// #ifdef COMPLEX
// rwork, lrwork,
// #endif
// iwork, liwork,
// &info );
//if (info != 0) {
// printf("magma_zheevd returned error %lld: %s.\n",
// (long long) info, magma_strerror( info ));
//}
//
//double maxw=0, diff=0;
//for( int j=0; j < N; j++ ) {
// maxw = max(maxw, fabs(w1[j]));
// maxw = max(maxw, fabs(w2[j]));
// diff = max(diff, fabs(w1[j]-w2[j]));
//}
//result[2] = diff / (N*maxw);
}
/* =====================================================================
Performs operation using LAPACK
=================================================================== */
if ( opts.lapack ) {
cpu_time = magma_wtime();
if ( opts.version == 1 ) {
lapackf77_zheevd( lapack_vec_const(opts.jobz), lapack_uplo_const(opts.uplo),
&N, h_A, &lda, w2,
h_work, &lwork,
#ifdef COMPLEX
rwork, &lrwork,
#endif
iwork, &liwork,
&info );
}
else if ( opts.version == 2 || opts.version == 4 ) {
lapackf77_zheevx( lapack_vec_const(opts.jobz),
lapack_range_const(range),
lapack_uplo_const(opts.uplo),
&N, h_A, &lda,
&vl, &vu, &il, &iu, &abstol,
&Nfound, w2,
h_Z, &lda,
h_work, &lwork,
#ifdef COMPLEX
rwork,
#endif
iwork,
ifail,
&info );
lapackf77_zlacpy( "Full", &N, &N, h_Z, &lda, h_A, &lda );
}
else if ( opts.version == 3 ) {
lapackf77_zheevr( lapack_vec_const(opts.jobz),
lapack_range_const(range),
lapack_uplo_const(opts.uplo),
&N, h_A, &lda,
&vl, &vu, &il, &iu, &abstol,
&Nfound, w2,
h_Z, &lda, isuppz,
h_work, &lwork,
#ifdef COMPLEX
rwork, &lrwork,
#endif
iwork, &liwork,
&info );
lapackf77_zlacpy( "Full", &N, &N, h_Z, &lda, h_A, &lda );
}
cpu_time = magma_wtime() - cpu_time;
if (info != 0) {
printf("lapackf77_zheevd returned error %lld: %s.\n",
(long long) info, magma_strerror( info ));
}
// compare eigenvalues
double maxw=0, diff=0;
for( int j=0; j < Nfound; j++ ) {
maxw = max(maxw, fabs(w1[j]));
maxw = max(maxw, fabs(w2[j]));
diff = max(diff, fabs(w1[j] - w2[j]));
}
result[3] = diff / (N*maxw);
okay = okay && (result[3] < tolulp);
printf("%5lld %9.4f %9.4f %8.2e ",
(long long) N, cpu_time, gpu_time, result[3] );
}
else {
printf("%5lld --- %9.4f --- ",
(long long) N, gpu_time);
}
// print error checks
if ( opts.check && opts.jobz != MagmaNoVec ) {
okay = okay && (result[0] < tol) && (result[1] < tol);
printf(" %8.2e %8.2e", result[0], result[1] );
}
else {
printf(" --- --- ");
}
printf(" %s\n", (okay ? "ok" : "failed"));
status += ! okay;
magma_free_cpu( h_A );
magma_free_cpu( w1 );
magma_free_cpu( w2 );
#ifdef COMPLEX
magma_free_cpu( rwork );
#endif
magma_free_cpu( iwork );
magma_free_pinned( h_R );
magma_free_pinned( h_work );
if ( opts.version == 3 ) {
magma_free_cpu( h_Z );
magma_free_cpu( isuppz );
}
if ( opts.version == 2 || opts.version == 4 ) {
magma_free_cpu( h_Z );
magma_free_cpu( ifail );
}
fflush( stdout );
}
if ( opts.niter > 1 ) {
printf( "\n" );
}
}
opts.cleanup();
TESTING_CHECK( magma_finalize() );
return status;
}
|
