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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 Mark Gates
Note: [ds] precisions generated from testing_zhemv.cu
@precisions normal z -> c
*/
#include <stdlib.h>
#include <stdio.h>
#include <string.h>
#include <math.h>
#include "flops.h"
#include "magma_v2.h"
#include "magma_lapack.h"
#include "magma_operators.h"
#include "testings.h"
/* ////////////////////////////////////////////////////////////////////////////
-- Testing zsymv
*/
int main(int argc, char **argv)
{
#ifdef MAGMA_HAVE_OPENCL
#define dA(i_, j_) dA, ((i_) + (j_)*ldda)
#define dX(i_) dX, ((i_))
#define dY(i_) dY, ((i_))
#define dwork(i_) dwork, ((i_))
#else
#define dA(i_, j_) (dA + (i_) + (j_)*ldda)
#define dX(i_) (dX + (i_))
#define dY(i_) (dY + (i_))
#define dwork(i_) (dwork + (i_))
#endif
TESTING_CHECK( magma_init() );
magma_print_environment();
const magmaDoubleComplex c_neg_one = MAGMA_Z_NEG_ONE;
const magma_int_t ione = 1;
real_Double_t gflops, magma_perf=0, magma_time=0, cpu_perf, cpu_time;
double magma_error=0, work[1];
magma_int_t ISEED[4] = {0,0,0,1};
magma_int_t N, lda, ldda, sizeA, sizeX, sizeY, blocks, ldwork;
magma_int_t incx = 1;
magma_int_t incy = 1;
magma_int_t nb = 64;
magmaDoubleComplex alpha = MAGMA_Z_MAKE( 1.5, -2.3 );
magmaDoubleComplex beta = MAGMA_Z_MAKE( -0.6, 0.8 );
magmaDoubleComplex *A, *X, *Y, *Ymagma;
magmaDoubleComplex_ptr dA, dX, dY, dwork;
int status = 0;
magma_opts opts;
opts.parse_opts( argc, argv );
// See testing_zgemm about tolerance.
double eps = lapackf77_dlamch("E");
double tol = 3*eps;
printf("%% uplo = %s\n", lapack_uplo_const(opts.uplo) );
printf("%% N MAGMA Gflop/s (ms) CPU Gflop/s (ms) MAGMA error\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;
ldda = magma_roundup( N, opts.align ); // multiple of 32 by default
sizeA = N*lda;
sizeX = N*incx;
sizeY = N*incy;
gflops = FLOPS_ZSYMV( N ) / 1e9;
TESTING_CHECK( magma_zmalloc_cpu( &A, sizeA ));
TESTING_CHECK( magma_zmalloc_cpu( &X, sizeX ));
TESTING_CHECK( magma_zmalloc_cpu( &Y, sizeY ));
TESTING_CHECK( magma_zmalloc_cpu( &Ymagma, sizeY ));
TESTING_CHECK( magma_zmalloc( &dA, ldda*N ));
TESTING_CHECK( magma_zmalloc( &dX, sizeX ));
TESTING_CHECK( magma_zmalloc( &dY, sizeY ));
blocks = magma_ceildiv( N, nb );
ldwork = ldda*blocks;
TESTING_CHECK( magma_zmalloc( &dwork, ldwork ));
magmablas_zlaset( MagmaFull, ldwork, 1, MAGMA_Z_NAN, MAGMA_Z_NAN, dwork(0), ldwork, opts.queue );
magmablas_zlaset( MagmaFull, ldda, N, MAGMA_Z_NAN, MAGMA_Z_NAN, dA(0,0), ldda, opts.queue );
/* Initialize the matrix */
lapackf77_zlarnv( &ione, ISEED, &sizeA, A );
magma_zmake_hermitian( N, A, lda );
// should not use data from the opposite triangle -- fill with NAN to check
magma_int_t N1 = N-1;
if ( opts.uplo == MagmaUpper ) {
lapackf77_zlaset( "Lower", &N1, &N1, &MAGMA_Z_NAN, &MAGMA_Z_NAN, &A[1], &lda );
}
else {
lapackf77_zlaset( "Upper", &N1, &N1, &MAGMA_Z_NAN, &MAGMA_Z_NAN, &A[lda], &lda );
}
lapackf77_zlarnv( &ione, ISEED, &sizeX, X );
lapackf77_zlarnv( &ione, ISEED, &sizeY, Y );
// for error checks
// lanhe and lansy should be same
double Anorm = safe_lapackf77_zlanhe( "F", lapack_uplo_const(opts.uplo), &N, A, &lda, work );
double Xnorm = lapackf77_zlange( "F", &N, &ione, X, &N, work );
double Ynorm = lapackf77_zlange( "F", &N, &ione, Y, &N, work );
/* Note: CUBLAS does not implement zsymv */
/* =====================================================================
Performs operation using MAGMABLAS
=================================================================== */
#if defined(MAGMA_HAVE_CUDA) || defined(MAGMA_HAVE_HIP)
magma_zsetmatrix( N, N, A, lda, dA(0,0), ldda, opts.queue );
magma_zsetvector( N, X, incx, dX(0), incx, opts.queue );
magma_zsetvector( N, Y, incy, dY(0), incy, opts.queue );
magma_time = magma_sync_wtime( opts.queue );
if ( opts.version == 1 ) {
magmablas_zsymv_work( opts.uplo, N,
alpha, dA(0,0), ldda,
dX(0), incx,
beta, dY(0), incy,
dwork(0), ldwork, opts.queue );
}
else {
// non-work interface (has added overhead)
magmablas_zsymv( opts.uplo, N,
alpha, dA(0,0), ldda,
dX(0), incx,
beta, dY(0), incy, opts.queue );
}
magma_time = magma_sync_wtime( opts.queue ) - magma_time;
magma_perf = gflops / magma_time;
magma_zgetvector( N, dY(0), incy, Ymagma, incy, opts.queue );
#endif
/* =====================================================================
Performs operation using CPU BLAS
=================================================================== */
cpu_time = magma_wtime();
lapackf77_zsymv( lapack_uplo_const(opts.uplo), &N, &alpha, A, &lda, X, &incx, &beta, Y, &incy );
cpu_time = magma_wtime() - cpu_time;
cpu_perf = gflops / cpu_time;
/* =====================================================================
Check the result
=================================================================== */
// See testing_zgemm for formula. Here K = N.
blasf77_zaxpy( &N, &c_neg_one, Y, &incy, Ymagma, &incy );
magma_error = lapackf77_zlange( "M", &N, &ione, Ymagma, &N, work )
/ (sqrt(double(N+2))*fabs(alpha)*Anorm*Xnorm + 2*fabs(beta)*Ynorm);
bool okay = (magma_error < tol);
status += ! okay;
printf("%5lld %7.2f (%7.2f) %7.2f (%7.2f) %8.2e %s\n",
(long long) N,
magma_perf, 1000.*magma_time,
cpu_perf, 1000.*cpu_time,
magma_error, (okay ? "ok" : "failed"));
magma_free_cpu( A );
magma_free_cpu( X );
magma_free_cpu( Y );
magma_free_cpu( Ymagma );
magma_free( dA );
magma_free( dX );
magma_free( dY );
magma_free( dwork );
fflush( stdout );
}
if ( opts.niter > 1 ) {
printf( "\n" );
}
}
opts.cleanup();
TESTING_CHECK( magma_finalize() );
return status;
}
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