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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 -> c d s
@author Mark Gates
*/
// 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 "testings.h"
#define COMPLEX
/* ////////////////////////////////////////////////////////////////////////////
-- Testing zlange
*/
int main( int argc, char** argv)
{
#define h_A(i_, j_) (h_A + (i_) + (j_)*lda)
#ifdef MAGMA_HAVE_OPENCL
#define d_A(i_, j_) d_A, ((i_) + (j_)*ldda)
#else
#define d_A(i_, j_) (d_A + (i_) + (j_)*ldda)
#endif
TESTING_CHECK( magma_init() );
magma_print_environment();
real_Double_t gbytes, gpu_perf, gpu_time, cpu_perf, cpu_time;
magmaDoubleComplex *h_A;
double *h_work;
magmaDoubleComplex_ptr d_A;
magmaDouble_ptr d_work;
magma_int_t i, j, M, N, n2, lda, ldda, lwork;
magma_int_t idist = 3; // normal distribution (otherwise max norm is always ~ 1)
magma_int_t ISEED[4] = {0,0,0,1};
double error, norm_magma, norm_lapack, normalize, tol;
int status = 0;
magma_int_t lapack_nan_fail = 0;
magma_int_t lapack_inf_fail = 0;
magma_opts opts;
opts.parse_opts( argc, argv );
double eps = lapackf77_dlamch("E");
magma_norm_t norm[] = { MagmaMaxNorm, MagmaOneNorm, MagmaInfNorm, MagmaFrobeniusNorm };
printf("%% M N norm CPU GByte/s (ms) GPU GByte/s (ms) error nan inf\n");
printf("%%================================================================================================\n");
for( int itest = 0; itest < opts.ntest; ++itest ) {
for( int inorm = 0; inorm < 4; ++inorm ) { /* < 4 for Frobenius */
for( int iter = 0; iter < opts.niter; ++iter ) {
M = opts.msize[itest];
N = opts.nsize[itest];
lda = M;
n2 = lda*N;
ldda = magma_roundup( M, opts.align );
if ( norm[inorm] == MagmaOneNorm || norm[inorm] == MagmaFrobeniusNorm )
lwork = N;
else
lwork = M;
// read whole matrix
gbytes = M*N*sizeof(magmaDoubleComplex) / 1e9;
TESTING_CHECK( magma_zmalloc_cpu( &h_A, n2 ));
TESTING_CHECK( magma_dmalloc_cpu( &h_work, M ));
TESTING_CHECK( magma_zmalloc( &d_A, ldda*N ));
TESTING_CHECK( magma_dmalloc( &d_work, lwork ));
/* Initialize the matrix */
lapackf77_zlarnv( &idist, ISEED, &n2, h_A );
magma_zsetmatrix( M, N, h_A, lda, d_A, ldda, opts.queue );
/* ====================================================================
Performs operation using MAGMA
=================================================================== */
gpu_time = magma_wtime();
norm_magma = magmablas_zlange( norm[inorm], M, N, d_A, ldda, d_work, lwork, opts.queue );
gpu_time = magma_wtime() - gpu_time;
gpu_perf = gbytes / gpu_time;
if (norm_magma == -1) {
printf( "%5lld %4c skipped because %s norm isn't supported\n",
(long long) N, lapacke_norm_const( norm[inorm] ), lapack_norm_const( norm[inorm] ));
goto cleanup;
}
else if (norm_magma < 0) {
printf("magmablas_zlange returned error %f: %s.\n",
norm_magma, magma_strerror( magma_int_t(norm_magma) ));
}
/* =====================================================================
Performs operation using LAPACK
=================================================================== */
cpu_time = magma_wtime();
norm_lapack = lapackf77_zlange( lapack_norm_const(norm[inorm]), &M, &N, h_A, &lda, h_work );
cpu_time = magma_wtime() - cpu_time;
cpu_perf = gbytes / cpu_time;
if (norm_lapack < 0) {
printf("lapackf77_zlange returned error %f: %s.\n",
norm_lapack, magma_strerror( magma_int_t(norm_lapack) ));
}
/* =====================================================================
Check the result compared to LAPACK
One, Inf, Fro errors normalized by sqrt of # terms in summation.
=================================================================== */
normalize = 1;
tol = 3*eps;
if ( norm[inorm] == MagmaMaxNorm ) {
// max-norm depends on only one element, so for Real precisions,
// MAGMA and LAPACK should exactly agree (tol = 0),
// while Complex precisions incur roundoff in cuCabs.
#ifdef REAL
tol = 0;
#endif
}
else if ( norm[inorm] == MagmaOneNorm ) {
normalize = sqrt( (double)M );
}
else if ( norm[inorm] == MagmaInfNorm ) {
normalize = sqrt( (double)N );
}
else if ( norm[inorm] == MagmaFrobeniusNorm ) {
normalize = sqrt( (double)M*N );
}
error = fabs( norm_magma - norm_lapack )
/ (norm_lapack * normalize);
bool okay; okay = (error <= tol);
status += ! okay;
/* ====================================================================
Check for NAN and INF propagation
=================================================================== */
i = rand() % M;
j = rand() % N;
*h_A(i,j) = MAGMA_Z_NAN;
magma_zsetvector( 1, h_A(i,j), 1, d_A(i,j), 1, opts.queue );
norm_magma = magmablas_zlange( norm[inorm], M, N, d_A, ldda, d_work, lwork, opts.queue );
norm_lapack = lapackf77_zlange( lapack_norm_const( norm[inorm] ),
&M, &N, h_A, &lda, h_work );
bool nan_okay; nan_okay = std::isnan(norm_magma);
bool la_nan_okay; la_nan_okay = std::isnan(norm_lapack);
lapack_nan_fail += ! la_nan_okay;
status += ! nan_okay;
*h_A(i,j) = MAGMA_Z_INF;
magma_zsetvector( 1, h_A(i,j), 1, d_A(i,j), 1, opts.queue );
norm_magma = magmablas_zlange( norm[inorm], M, N, d_A, ldda, d_work, lwork, opts.queue );
norm_lapack = lapackf77_zlange( lapack_norm_const( norm[inorm] ),
&M, &N, h_A, &lda, h_work );
bool inf_okay; inf_okay = std::isinf(norm_magma);
bool la_inf_okay; la_inf_okay = std::isinf(norm_lapack);
lapack_inf_fail += ! la_inf_okay;
status += ! inf_okay;
printf("%5lld %5lld %4c %7.2f (%7.2f) %7.2f (%7.2f) %#9.3g %-6s %6s%1s %6s%1s\n",
(long long) M, (long long) N,
lapacke_norm_const( norm[inorm] ),
cpu_perf, cpu_time*1000., gpu_perf, gpu_time*1000.,
error,
(okay ? "ok" : "failed"),
(nan_okay ? "ok" : "failed"), (la_nan_okay ? " " : "*"),
(inf_okay ? "ok" : "failed"), (la_inf_okay ? " " : "*"));
cleanup:
magma_free_cpu( h_A );
magma_free_cpu( h_work );
magma_free( d_A );
magma_free( d_work );
fflush( stdout );
} // end iter
if ( opts.niter > 1 ) {
printf( "\n" );
}
} // end inorm
printf( "\n" );
}
if ( lapack_nan_fail ) {
printf( "* Warning: LAPACK did not pass NAN propagation test; upgrade to LAPACK version >= 3.4.2 (Sep. 2012)\n" );
}
if ( lapack_inf_fail ) {
printf( "* Warning: LAPACK did not pass INF propagation test\n" );
}
opts.cleanup();
TESTING_CHECK( magma_finalize() );
return status;
}
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