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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 Stephen Wood
*/
// includes, system
#include <stdlib.h>
#include <stdio.h>
#include <string.h>
#include <math.h>
// includes, project
#include "magma_v2.h"
#include "magmasparse.h"
#include "testings.h"
/*******************************************************************************
Purpose
-------
ZGEMV performs one of the matrix-vector operations on the CPU
y := alpha*A*x + beta*y, or y := alpha*A^T*x + beta*y, or
y := alpha*A^H*x + beta*y,
where alpha and beta are scalars, x and y are vectors and A is an
m by n matrix.
Arguments
---------
@param[in]
transA transA is CHARACTER*1
On entry, TRANS specifies the operation to be performed as
follows:
transA = 'N' or 'n' y := alpha*A*x + beta*y.
transA = 'T' or 't' y := alpha*A^T*x + beta*y.
transA = 'C' or 'c' y := alpha*A^H*x + beta*y.
@param[in]
flip magma_int_t
0: transA unchanged, 1: transA reversed
@param[in]
m magma_int_t
number of rows of the matrix A.
@param[in]
n magma_int_t
number of columns of the matrix A.
@param[in]
alpha magmaDoubleComplex
scalar.
@param[in]
dA magma_z_matrix
input matrix dA.
@param[in]
aoff magma_int_t
the offset for the elements of dA.
@param[in]
ldda magma_int_t
the increment for the elements of dA.
@param[in]
dx magma_z_matrix
input vector dx.
@param[in]
xoff magma_int_t
the offset for the elements of dx.
@param[in]
incx magma_int_t
the increment for the elements of dx.
@param[in]
beta magmaDoubleComplex
scalar.
@param[in,out]
dy magma_z_matrix *
input vector dy.
@param[in]
yoff magma_int_t
the offset for the elements of dy.
@param[in]
incy magma_int_t
the increment for the elements of dy.
@param[in]
queue magma_queue_t
Queue to execute in.
@ingroup magmasparse_zblas
*******************************************************************************/
extern "C"
void
magmablas_zgemv_cpu(
magma_trans_t transA, magma_int_t flip,
magma_int_t m, magma_int_t n,
magmaDoubleComplex alpha,
magma_z_matrix dA, magma_int_t aoff, magma_int_t ldda,
magma_z_matrix dx, magma_int_t xoff, magma_int_t incx,
magmaDoubleComplex beta,
magma_z_matrix *dy, magma_int_t yoff, magma_int_t incy,
magma_queue_t queue )
{
magma_int_t info = MAGMA_NOTCONVERGED;
magma_z_matrix A = {Magma_CSR}, x = {Magma_CSR}, y = {Magma_CSR};
TESTING_CHECK( magma_zmtransfer( dA, &A, Magma_DEV, Magma_CPU, queue ));
TESTING_CHECK( magma_zmtransfer( dx, &x, Magma_DEV, Magma_CPU, queue ));
TESTING_CHECK( magma_zmtransfer( *dy, &y, Magma_DEV, Magma_CPU, queue ));
printf("\nmagmablas_zgemv_cpu m=%d, n=%d ldda=%d\n",
A.num_rows, A.num_cols, A.ld);
if (flip==0) {
blasf77_zgemv( lapack_trans_const(transA),
&m, &n, &alpha, &A.val[aoff], &ldda, &x.val[xoff],
&incx, &beta, &y.val[yoff], &incy);
}
else if (flip==1) {
magma_trans_t transtmp;
if (transA==MagmaNoTrans)
transtmp = MagmaTrans;
else if (transA==MagmaTrans)
transtmp = MagmaNoTrans;
else if (transA==MagmaConjTrans) {
transtmp = MagmaNoTrans;
// TODO: congugate A.
}
blasf77_zgemv( lapack_trans_const(transtmp),
&m, &n, &alpha, &A.val[aoff], &ldda, &x.val[xoff],
&incx, &beta, &y.val[yoff], &incy);
}
TESTING_CHECK( magma_zmtransfer( y, dy, Magma_CPU, Magma_DEV, queue ));
cleanup:
// free resources
magma_zmfree( &A, queue );
magma_zmfree( &x, queue );
magma_zmfree( &y, queue );
}
/*******************************************************************************
Purpose
-------
Prints the residual of an input vector with respect to two reference
vectors.
Arguments
---------
@param[in]
dofs magma_int_t
number of elements in vectors.
@param[in]
dy magmaDoubleComplex_ptr
input vector dx.
@param[in]
dyTrans magmaDoubleComplex_ptr
first reference vector dx.
@param[in]
dyNoTrans magmaDoubleComplex_ptr
second reference vector dx.
@param[in]
dytmp magmaDoubleComplex_ptr
workspace.
@param[in]
ref magmaDoubleComplex
reference residual.
@param[in]
queue magma_queue_t
Queue to execute in.
@ingroup magmasparse_zblas
*******************************************************************************/
extern "C"
void
magma_print_residual(
magma_int_t dofs,
magmaDoubleComplex_ptr dy,
magmaDoubleComplex_ptr dyTrans,
magmaDoubleComplex_ptr dyNoTrans,
magmaDoubleComplex_ptr dytmp,
magmaDoubleComplex ref,
magma_queue_t queue )
{
#define PRECISION_z
#if defined(PRECISION_d)
const magmaDoubleComplex c_neg_one = MAGMA_Z_NEG_ONE;
magmaDoubleComplex res;
magma_zcopy( dofs, dy, 1, dytmp, 1, queue ); // dy to dytmp
magma_zaxpy( dofs, c_neg_one, dyTrans, 1, dy, 1, queue ); // dy = dy - y_ref
res = magma_dznrm2( dofs, dy, 1, queue ); // res = ||dy||
res /= ref;
printf("|y-yTrans|/|yTrans| = %20.16e\n", res);
magma_zaxpy( dofs, c_neg_one, dyNoTrans, 1, dytmp, 1, queue ); // dy = dy - y_ref
res = magma_dznrm2( dofs, dytmp, 1, queue ); // res = ||dy||
res /= ref;
printf("|y-yNoTrans|/|yNoTrans| = %20.16e\n", res);
#endif
}
/* ////////////////////////////////////////////////////////////////////////////
-- testing_zgemv() to determine interaction of row-major and column-major
ordering between zvinit(), magmablas_zgemv() on GPU, and blasf77_zgemv() on
CPU through hard-coded A matrix of doubles, a unit vector, x, and reference
solutions yNoTrans = A*x, yTrans = A'*x.
TODO: implement tests for complex A and x.
*/
int main( int argc, char** argv )
{
magma_int_t info = 0;
TESTING_CHECK( magma_init() );
magma_print_environment();
magma_zopts zopts;
magma_queue_t queue;
magma_queue_create( 0, &queue );
magmaDoubleComplex c_one = MAGMA_Z_MAKE(1.0, 0.0);
magmaDoubleComplex c_zero = MAGMA_Z_MAKE(0.0, 0.0);
const magmaDoubleComplex c_neg_one = MAGMA_Z_NEG_ONE;
const magma_int_t c_flip = 0;
magmaDoubleComplex ref, refsub, refsublr, res;
magma_z_matrix A={Magma_CSR}, dA={Magma_CSR};
magma_z_matrix dx={Magma_CSR}, dy={Magma_CSR}, dytmp={Magma_CSR};
magma_z_matrix yNoTrans={Magma_CSR}, dyNoTrans={Magma_CSR};
magma_z_matrix yTrans={Magma_CSR}, dyTrans={Magma_CSR};
magma_z_matrix yNoTranssub={Magma_CSR}, dyNoTranssub={Magma_CSR};
magma_z_matrix yTranssub={Magma_CSR}, dyTranssub={Magma_CSR};
magma_z_matrix yNoTranssublr={Magma_CSR}, dyNoTranssublr={Magma_CSR};
magma_z_matrix yTranssublr={Magma_CSR}, dyTranssublr={Magma_CSR};
#define PRECISION_z
#if defined(PRECISION_d)
TESTING_CHECK( magma_zvinit( &A, Magma_CPU, 4, 4, c_zero, queue ));
TESTING_CHECK( magma_zvinit( &dA, Magma_DEV, 4, 4, c_zero, queue ));
TESTING_CHECK( magma_zvinit( &dx, Magma_DEV, 4, 1, c_one, queue ));
TESTING_CHECK( magma_zvinit( &dy, Magma_DEV, 4, 1, c_zero, queue ));
TESTING_CHECK( magma_zvinit( &dytmp, Magma_DEV, 4, 1, c_zero, queue ));
TESTING_CHECK( magma_zvinit( &yNoTrans, Magma_CPU, 4, 1, c_zero, queue ));
TESTING_CHECK( magma_zvinit( &dyNoTrans, Magma_DEV, 4, 1, c_zero, queue ));
TESTING_CHECK( magma_zvinit( &yTrans, Magma_CPU, 4, 1, c_zero, queue ));
TESTING_CHECK( magma_zvinit( &dyTrans, Magma_DEV, 4, 1, c_zero, queue ));
TESTING_CHECK( magma_zvinit( &yNoTranssub, Magma_CPU, 4, 1, c_zero, queue ));
TESTING_CHECK( magma_zvinit( &dyNoTranssub, Magma_DEV, 4, 1, c_zero, queue ));
TESTING_CHECK( magma_zvinit( &yTranssub, Magma_CPU, 4, 1, c_zero, queue ));
TESTING_CHECK( magma_zvinit( &dyTranssub, Magma_DEV, 4, 1, c_zero, queue ));
TESTING_CHECK( magma_zvinit( &yNoTranssublr, Magma_CPU, 4, 1, c_zero, queue ));
TESTING_CHECK( magma_zvinit( &dyNoTranssublr, Magma_DEV, 4, 1, c_zero, queue ));
TESTING_CHECK( magma_zvinit( &yTranssublr, Magma_CPU, 4, 1, c_zero, queue ));
TESTING_CHECK( magma_zvinit( &dyTranssublr, Magma_DEV, 4, 1, c_zero, queue ));
printf("+++++++++++++++++++++++++++++++++\n");
printf("ZGEMV operation on GPU and CPU compared for 4x4 matrix\n");
printf("+++++++++++++++++++++++++++++++++\n");
for (magma_int_t k=0; k<A.num_rows*A.num_cols; k++) {
A.val[k] = MAGMA_Z_MAKE(k, 0.);
}
printf("A set on cpu\n");
yTrans.val[0]=24.; yTrans.val[1]=28.; yTrans.val[2]=32.; yTrans.val[3]=36.;
yNoTrans.val[0]=6.; yNoTrans.val[1]=22.; yNoTrans.val[2]=38.; yNoTrans.val[3]=54.;
yTranssub.val[2]=38.; yTranssub.val[3]=54.;
yNoTranssub.val[0]=20.; yNoTranssub.val[1]=22.; yNoTranssub.val[2]=24.; yNoTranssub.val[3]=26.;
yTranssublr.val[2]=24.; yTranssublr.val[3]=26.;
yNoTranssublr.val[2]=21.; yNoTranssublr.val[3]=29.;
printf("y refs set on cpu\n");
TESTING_CHECK( magma_zmtransfer( A, &dA, Magma_CPU, Magma_DEV, queue ));
TESTING_CHECK( magma_zmtransfer( yNoTrans, &dyNoTrans, Magma_CPU, Magma_DEV, queue ));
TESTING_CHECK( magma_zmtransfer( yTrans, &dyTrans, Magma_CPU, Magma_DEV, queue ));
TESTING_CHECK( magma_zmtransfer( yNoTranssub, &dyNoTranssub, Magma_CPU, Magma_DEV, queue ));
TESTING_CHECK( magma_zmtransfer( yTranssub, &dyTranssub, Magma_CPU, Magma_DEV, queue ));
TESTING_CHECK( magma_zmtransfer( yNoTranssublr, &dyNoTranssublr, Magma_CPU, Magma_DEV, queue ));
TESTING_CHECK( magma_zmtransfer( yTranssublr, &dyTranssublr, Magma_CPU, Magma_DEV, queue ));
printf("Reference answer yTrans:\n");
magma_zprint_matrix(yTrans, queue);
printf("Reference answer yNoTrans:\n");
magma_zprint_matrix(yNoTrans, queue);
ref = magma_dznrm2( A.num_rows, dyNoTrans.dval, 1, queue );
refsub = magma_dznrm2( 2, &dyNoTranssub.dval[2], 1, queue );
refsublr = magma_dznrm2( 2, &dyNoTranssublr.dval[2], 1, queue );
printf("=======\tbefore magma_zgemv NoTrans line %d\n", __LINE__);
printf("A:\n");
magma_zprint_matrix(dA, queue);
printf("x:\n");
magma_zprint_matrix(dx, queue);
printf("y:\n");
magma_zprint_matrix(dy, queue);
magmablas_zgemv( MagmaNoTrans, dA.num_rows, dA.num_cols, c_one, dA.dval, dA.ld, dx.dval, 1, c_zero, dy.dval, 1, queue );
printf("\tafter magma_zgemv NoTrans row x col; ld line %d\n", __LINE__);
printf("y:\n");
magma_zprint_matrix(dy, queue);
magma_print_residual( A.num_rows, dy.dval, dyTrans.dval, dyNoTrans.dval, dytmp.dval, ref, queue );
magmablas_zgemv_cpu( MagmaNoTrans, c_flip, dA.num_rows, dA.num_cols, c_one, dA, 0, dA.ld, dx, 0, 1, c_zero, &dy, 0, 1, queue );
printf("\tafter magma_zgemv_cpu NoTrans row x col; ld line %d\n", __LINE__);
printf("y:\n");
magma_zprint_matrix(dy, queue);
magma_print_residual( A.num_rows, dy.dval, dyTrans.dval, dyNoTrans.dval, dytmp.dval, ref, queue );
TESTING_CHECK( magma_zvinit( &dy, Magma_DEV, 4, 1, c_zero, queue ));
printf("=======\tbefore magma_zgemv Trans line %d\n", __LINE__);
magmablas_zgemv( MagmaTrans, dA.num_rows, dA.num_cols, c_one, dA.dval, dA.ld, dx.dval, 1, c_zero, dy.dval, 1, queue );
printf("\tafter magma_zgemv Trans row x col; ld line %d\n", __LINE__);
printf("y:\n");
magma_zprint_matrix(dy, queue);
magma_print_residual( A.num_rows, dy.dval, dyTrans.dval, dyNoTrans.dval, dytmp.dval, ref, queue );
magmablas_zgemv_cpu( MagmaTrans, c_flip, dA.num_rows, dA.num_cols, c_one, dA, 0, dA.ld, dx, 0, 1, c_zero, &dy, 0, 1, queue );
printf("\tafter magma_zgemv_cpu Trans line row x col; ld %d\n", __LINE__);
printf("y:\n");
magma_zprint_matrix(dy, queue);
magma_print_residual( A.num_rows, dy.dval, dyTrans.dval, dyNoTrans.dval, dytmp.dval, ref, queue );
TESTING_CHECK( magma_zvinit( &dy, Magma_DEV, 4, 1, c_zero, queue ));
printf("=======\tbefore magma_zgemv ConjTrans line %d\n", __LINE__);
magmablas_zgemv( MagmaConjTrans, dA.num_rows, dA.num_cols, c_one, dA.dval, dA.ld, dx.dval, 1, c_zero, dy.dval, 1, queue );
printf("\tafter magma_zgemv ConjTrans row x col; ld line %d\n", __LINE__);
printf("y:\n");
magma_zprint_matrix(dy, queue);
magma_print_residual( A.num_rows, dy.dval, dyTrans.dval, dyNoTrans.dval, dytmp.dval, ref, queue );
magmablas_zgemv_cpu( MagmaConjTrans, c_flip, dA.num_rows, dA.num_cols, c_one, dA, 0, dA.ld, dx, 0, 1, c_zero, &dy, 0, 1, queue );
printf("\tafter magma_zgemv_cpu ConjTrans row x col; ld line %d\n", __LINE__);
printf("y:\n");
magma_zprint_matrix(dy, queue);
magma_print_residual( A.num_rows, dy.dval, dyTrans.dval, dyNoTrans.dval, dytmp.dval, ref, queue );
TESTING_CHECK( magma_zvinit( &dy, Magma_DEV, 4, 1, c_zero, queue ));
printf("=======\tbefore magma_zgemv NoTrans 2x4 lower submatrix line %d\n", __LINE__);
magmablas_zgemv( MagmaNoTrans, 2, dA.num_cols, c_one, &dA.dval[2*dA.ld], dA.ld,
dx.dval, 1, c_zero, &dy.dval[2], 1, queue );
printf("\tafter magma_zgemv NoTrans subrow x col; ld line %d\n", __LINE__);
printf("y:\n");
magma_zprint_matrix(dy, queue);
magma_print_residual( 2, &dy.dval[2],
&dyTranssub.dval[2], &dyNoTranssub.dval[2],
&dytmp.dval[2], refsub, queue );
TESTING_CHECK( magma_zvinit( &dy, Magma_DEV, 4, 1, c_zero, queue ));
magmablas_zgemv_cpu( MagmaNoTrans, c_flip, 2, dA.num_cols, c_one, dA, 2*dA.ld, dA.ld,
dx, 0, 1, c_zero, &dy, 2, 1, queue );
printf("\tafter magma_zgemv_cpu NoTrans subrow x col; ld line %d\n", __LINE__);
printf("y:\n");
magma_zprint_matrix(dy, queue);
magma_print_residual( 2, &dy.dval[2],
&dyTranssub.dval[2], &dyNoTranssub.dval[2],
&dytmp.dval[2], refsub, queue );
TESTING_CHECK( magma_zvinit( &dy, Magma_DEV, 4, 1, c_zero, queue ));
magmablas_zgemv( MagmaNoTrans, dA.num_cols, 2, c_one, &dA.dval[2*dA.ld], dA.ld,
dx.dval, 1, c_zero, dy.dval, 1, queue );
printf("\tafter magma_zgemv NoTrans col x subrow; ld line %d\n", __LINE__);
printf("y:\n");
magma_zprint_matrix(dy, queue);
magma_print_residual( 2, &dy.dval[2],
&dyTranssub.dval[2], &dyNoTranssub.dval[2],
&dytmp.dval[2], refsub, queue );
TESTING_CHECK( magma_zvinit( &dy, Magma_DEV, 4, 1, c_zero, queue ));
magmablas_zgemv_cpu( MagmaNoTrans, c_flip, dA.num_cols, 2, c_one, dA, 2*dA.ld, dA.ld,
dx, 0, 1, c_zero, &dy, 0, 1, queue );
printf("\tafter magma_zgemv_cpu NoTrans col x subrow; ld line %d\n", __LINE__);
printf("y:\n");
magma_zprint_matrix(dy, queue);
magma_print_residual( 2, &dy.dval[2],
&dyTranssub.dval[2], &dyNoTranssub.dval[2],
&dytmp.dval[2], refsub, queue );
TESTING_CHECK( magma_zvinit( &dy, Magma_DEV, 4, 1, c_zero, queue ));
magmablas_zgemv( MagmaTrans, dA.num_cols, 2, c_one, &dA.dval[2*dA.ld], dA.ld,
dx.dval, 1, c_zero, &dy.dval[2], 1, queue );
printf("\tafter magma_zgemv Trans col x subrow; ld line %d\n", __LINE__);
printf("y:\n");
magma_zprint_matrix(dy, queue);
magma_print_residual( 2, &dy.dval[2],
&dyTranssub.dval[2], &dyNoTranssub.dval[2],
&dytmp.dval[2], refsub, queue );
TESTING_CHECK( magma_zvinit( &dy, Magma_DEV, 4, 1, c_zero, queue ));
magmablas_zgemv_cpu( MagmaTrans, c_flip, dA.num_cols, 2, c_one, dA, 2*dA.ld, dA.ld,
dx, 0, 1, c_zero, &dy, 2, 1, queue );
printf("\tafter magma_zgemv_cpu Trans col x subrow; ld line %d\n", __LINE__);
printf("y:\n");
magma_zprint_matrix(dy, queue);
magma_print_residual( 2, &dy.dval[2],
&dyTranssub.dval[2], &dyNoTranssub.dval[2],
&dytmp.dval[2], refsub, queue );
TESTING_CHECK( magma_zvinit( &dy, Magma_DEV, 4, 1, c_zero, queue ));
printf("=======\tbefore magma_zgemv NoTrans 2x2 lower right submatrix line %d\n", __LINE__);
magmablas_zgemv( MagmaNoTrans, 2, 2, c_one, &dA.dval[2*dA.ld+2], dA.ld,
&dx.dval[2], 1, c_zero, &dy.dval[2], 1, queue );
printf("\tafter magma_zgemv NoTrans subrow x subcol; ld line %d\n", __LINE__);
printf("y:\n");
magma_zprint_matrix(dy, queue);
magma_print_residual( 2, &dy.dval[2],
&dyTranssublr.dval[2], &dyNoTranssublr.dval[2],
&dytmp.dval[2], refsublr, queue );
magmablas_zgemv_cpu( MagmaNoTrans, c_flip, 2, 2, c_one, dA, 2*dA.ld+2, dA.ld,
dx, 2, 1, c_zero, &dy, 2, 1, queue );
printf("\tafter magma_zgemv_cpu NoTrans subrow x subcol; ld line %d\n", __LINE__);
printf("y:\n");
magma_zprint_matrix(dy, queue);
magma_print_residual( 2, &dy.dval[2],
&dyTranssublr.dval[2], &dyNoTranssublr.dval[2],
&dytmp.dval[2], refsublr, queue );
magma_zmfree( &A, queue );
magma_zmfree( &dA, queue );
magma_zmfree( &dx, queue );
magma_zmfree( &dy, queue );
magma_zmfree( &yNoTrans, queue );
magma_zmfree( &dyNoTrans, queue );
magma_zmfree( &yTrans, queue );
magma_zmfree( &dyTrans, queue );
magma_zmfree( &yNoTranssub, queue );
magma_zmfree( &dyNoTranssub, queue );
magma_zmfree( &yTranssub, queue );
magma_zmfree( &dyTranssub, queue );
magma_zmfree( &yNoTranssublr, queue );
magma_zmfree( &dyNoTranssublr, queue );
magma_zmfree( &yTranssublr, queue );
magma_zmfree( &dyTranssublr, queue );
printf("\n\n+++++++++++++++++++++++++++++++++\n");
printf("ZGEMV operation on GPU and CPU compared for 5x3 matrix\n");
printf("+++++++++++++++++++++++++++++++++\n");
TESTING_CHECK( magma_zvinit( &A, Magma_CPU, 5, 3, c_zero, queue ));
TESTING_CHECK( magma_zvinit( &dA, Magma_DEV, 5, 3, c_zero, queue ));
TESTING_CHECK( magma_zvinit( &dx, Magma_DEV, 5, 1, c_one, queue ));
TESTING_CHECK( magma_zvinit( &dy, Magma_DEV, 5, 1, c_zero, queue ));
TESTING_CHECK( magma_zvinit( &dytmp, Magma_DEV, 5, 1, c_zero, queue ));
TESTING_CHECK( magma_zvinit( &yNoTrans, Magma_CPU, 5, 1, c_zero, queue ));
TESTING_CHECK( magma_zvinit( &dyNoTrans, Magma_DEV, 5, 1, c_zero, queue ));
TESTING_CHECK( magma_zvinit( &yTrans, Magma_CPU, 5, 1, c_zero, queue ));
TESTING_CHECK( magma_zvinit( &dyTrans, Magma_DEV, 5, 1, c_zero, queue ));
TESTING_CHECK( magma_zvinit( &yNoTranssub, Magma_CPU, 5, 1, c_zero, queue ));
TESTING_CHECK( magma_zvinit( &dyNoTranssub, Magma_DEV, 5, 1, c_zero, queue ));
TESTING_CHECK( magma_zvinit( &yTranssub, Magma_CPU, 5, 1, c_zero, queue ));
TESTING_CHECK( magma_zvinit( &dyTranssub, Magma_DEV, 5, 1, c_zero, queue ));
TESTING_CHECK( magma_zvinit( &yNoTranssublr, Magma_CPU, 5, 1, c_zero, queue ));
TESTING_CHECK( magma_zvinit( &dyNoTranssublr, Magma_DEV, 5, 1, c_zero, queue ));
TESTING_CHECK( magma_zvinit( &yTranssublr, Magma_CPU, 5, 1, c_zero, queue ));
TESTING_CHECK( magma_zvinit( &dyTranssublr, Magma_DEV, 5, 1, c_zero, queue ));
for (magma_int_t k=0; k<A.num_rows*A.num_cols; k++) {
A.val[k] = MAGMA_Z_MAKE(k, 0.);
}
yTrans.val[0]=30.; yTrans.val[1]=35.; yTrans.val[2]=40.; yTrans.val[3]=0.; yTrans.val[4]=0.;
yNoTrans.val[0]=3.; yNoTrans.val[1]=12.; yNoTrans.val[2]=21.; yNoTrans.val[3]=30.; yNoTrans.val[4]=39.;
yTranssub.val[0]=21.; yTranssub.val[1]=23.; yTranssub.val[2]=25.; yTranssub.val[3]=0.; yTranssub.val[4]=0.;
yNoTranssub.val[0]=30.; yNoTranssub.val[1]=39.; yNoTranssub.val[2]=0.; yNoTranssub.val[3]=0.; yNoTranssub.val[4]=0.;
yTranssublr.val[0]=30.; yTranssublr.val[1]=33.; yTranssublr.val[2]=0.; yTranssublr.val[3]=0.; yTranssublr.val[4]=0.;
yNoTranssublr.val[0]=15.; yNoTranssublr.val[1]=21.; yNoTranssublr.val[2]=27.; yNoTranssublr.val[3]=0.; yNoTranssublr.val[4]=0.;
TESTING_CHECK( magma_zmtransfer( A, &dA, Magma_CPU, Magma_DEV, queue ));
TESTING_CHECK( magma_zmtransfer( yNoTrans, &dyNoTrans, Magma_CPU, Magma_DEV, queue ));
TESTING_CHECK( magma_zmtransfer( yTrans, &dyTrans, Magma_CPU, Magma_DEV, queue ));
TESTING_CHECK( magma_zmtransfer( yNoTranssub, &dyNoTranssub, Magma_CPU, Magma_DEV, queue ));
TESTING_CHECK( magma_zmtransfer( yTranssub, &dyTranssub, Magma_CPU, Magma_DEV, queue ));
TESTING_CHECK( magma_zmtransfer( yNoTranssublr, &dyNoTranssublr, Magma_CPU, Magma_DEV, queue ));
TESTING_CHECK( magma_zmtransfer( yTranssublr, &dyTranssublr, Magma_CPU, Magma_DEV, queue ));
printf("yTrans:\n");
magma_zprint_matrix(yTrans, queue);
printf("yNoTrans:\n");
magma_zprint_matrix(yNoTrans, queue);
ref = magma_dznrm2( A.num_rows, dyNoTrans.dval, 1, queue );
refsub = magma_dznrm2( A.num_rows, dyNoTranssub.dval, 1, queue );
refsublr = magma_dznrm2( A.num_rows, dyNoTranssublr.dval, 1, queue );
printf("=======\tbefore magma_zgemv NoTrans line %d\n", __LINE__);
printf("A:\n");
magma_zprint_matrix(A, queue);
printf("x:\n");
magma_zprint_matrix(dx, queue);
printf("y:\n");
magma_zprint_matrix(dy, queue);
printf("A.num_rows=%d A.num_cols=%d A.ld=%d\n", dA.num_rows, dA.num_cols, dA.ld);
magmablas_zgemv( MagmaNoTrans, dA.num_rows, dA.num_cols, c_one, dA.dval, dA.ld, dx.dval, 1, c_zero, dy.dval, 1, queue );
printf("\tafter magma_zgemv NoTrans row x col; ld line %d\n", __LINE__);
printf("y:\n");
magma_zprint_matrix(dy, queue);
magma_print_residual( A.num_rows, dy.dval, dyTrans.dval, dyNoTrans.dval, dytmp.dval, ref, queue );
TESTING_CHECK( magma_zvinit( &dy, Magma_DEV, 5, 1, c_zero, queue ));
magmablas_zgemv_cpu( MagmaNoTrans, c_flip, dA.num_rows, dA.num_cols, c_one, dA, 0, dA.ld, dx, 0, 1, c_zero, &dy, 0, 1, queue );
printf("\tafter magma_zgemv_cpu NoTrans row x col; ld line %d\n", __LINE__);
printf("y:\n");
magma_zprint_matrix(dy, queue);
magma_print_residual( A.num_rows, dy.dval, dyTrans.dval, dyNoTrans.dval, dytmp.dval, ref, queue );
TESTING_CHECK( magma_zvinit( &dy, Magma_DEV, 5, 1, c_zero, queue ));
magmablas_zgemv_cpu( MagmaNoTrans, c_flip, dA.num_cols, dA.num_rows, c_one, dA, 0, dA.ld, dx, 0, 1, c_zero, &dy, 0, 1, queue );
printf("\tafter magma_zgemv_cpu NoTrans col x row; ld line %d\n", __LINE__);
printf("y:\n");
magma_zprint_matrix(dy, queue);
magma_print_residual( A.num_rows, dy.dval, dyTrans.dval, dyNoTrans.dval, dytmp.dval, ref, queue );
TESTING_CHECK( magma_zvinit( &dy, Magma_DEV, 5, 1, c_zero, queue ));
magmablas_zgemv( MagmaNoTrans, dA.num_cols, dA.num_rows, c_one, dA.dval, dA.num_cols, dx.dval, 1, c_zero, dy.dval, 1, queue );
printf("\tafter magma_zgemv NoTrans col x row; col line %d\n", __LINE__);
printf("y:\n");
magma_zprint_matrix(dy, queue);
magma_print_residual( A.num_rows, dy.dval, dyTrans.dval, dyNoTrans.dval, dytmp.dval, ref, queue );
TESTING_CHECK( magma_zvinit( &dy, Magma_DEV, 5, 1, c_zero, queue ));
magmablas_zgemv_cpu( MagmaNoTrans, c_flip, dA.num_cols, dA.num_rows, c_one, dA, 0, dA.num_cols, dx, 0, 1, c_zero, &dy, 0, 1, queue );
printf("\tafter magma_zgemv_cpu NoTrans col x row; col line %d\n", __LINE__);
printf("y:\n");
magma_zprint_matrix(dy, queue);
magma_print_residual( A.num_rows, dy.dval, dyTrans.dval, dyNoTrans.dval, dytmp.dval, ref, queue );
printf("=======\tbefore magma_zgemv NoTrans 2x3 lower submatrix line %d\n", __LINE__);
printf("subrow addressing by ld:\n");
for (int p=0; p<dA.num_rows; p++) {
printf("%d %e\n", p, A.val[p*dA.ld]);
}
printf("subrow addressing by num_cols:\n");
for (int p=0; p<dA.num_rows; p++) {
printf("%d %e\n", p, A.val[p*dA.num_cols]);
}
TESTING_CHECK( magma_zvinit( &dy, Magma_DEV, 5, 1, c_zero, queue ));
magmablas_zgemv( MagmaNoTrans, 2, dA.num_cols, c_one, &dA.dval[3*dA.num_cols], dA.ld,
dx.dval, 1, c_zero, dy.dval, 1, queue );
printf("\tafter magma_zgemv NoTrans subrow x col; ld line %d\n", __LINE__);
printf("y:\n");
magma_zprint_matrix(dy, queue);
magma_print_residual( A.num_rows, dy.dval, dyTranssub.dval, dyNoTranssub.dval,
dytmp.dval, refsub, queue );
TESTING_CHECK( magma_zvinit( &dy, Magma_DEV, 5, 1, c_zero, queue ));
magmablas_zgemv_cpu( MagmaNoTrans, c_flip, 2, dA.num_cols, c_one, dA, 3*dA.num_cols, dA.ld,
dx, 0, 1, c_zero, &dy, 0, 1, queue );
printf("\tafter magma_zgemv_cpu NoTrans subrow x col; ld line %d\n", __LINE__);
printf("y:\n");
magma_zprint_matrix(dy, queue);
magma_print_residual( A.num_rows, dy.dval, dyTranssub.dval, dyNoTranssub.dval,
dytmp.dval, ref, queue );
TESTING_CHECK( magma_zvinit( &dy, Magma_DEV, 5, 1, c_zero, queue ));
magmablas_zgemv( MagmaNoTrans, dA.num_cols, 2, c_one, &dA.dval[3*dA.num_cols], dA.ld,
dx.dval, 1, c_zero, dy.dval, 1, queue );
printf("\tafter magma_zgemv NoTrans col x subrow; ld line %d\n", __LINE__);
printf("y:\n");
magma_zprint_matrix(dy, queue);
magma_print_residual( A.num_rows, dy.dval, dyTranssub.dval, dyNoTranssub.dval,
dytmp.dval, refsub, queue );
TESTING_CHECK( magma_zvinit( &dy, Magma_DEV, 5, 1, c_zero, queue ));
magmablas_zgemv_cpu( MagmaNoTrans, c_flip, dA.num_cols, 2, c_one, dA, 3*dA.num_cols, dA.ld,
dx, 0, 1, c_zero, &dy, 0, 1, queue );
printf("\tafter magma_zgemv_cpu NoTrans col x subrow; ld line %d\n", __LINE__);
printf("y:\n");
magma_zprint_matrix(dy, queue);
magma_print_residual( A.num_rows, dy.dval, dyTranssub.dval, dyNoTranssub.dval,
dytmp.dval, ref, queue );
TESTING_CHECK( magma_zvinit( &dy, Magma_DEV, 5, 1, c_zero, queue ));
magmablas_zgemv( MagmaNoTrans, dA.num_cols, 2, c_one, &dA.dval[3*dA.num_cols], dA.num_cols,
dx.dval, 1, c_zero, dy.dval, 1, queue );
printf("\tafter magma_zgemv NoTrans col x subrow; col line %d\n", __LINE__);
printf("y:\n");
magma_zprint_matrix(dy, queue);
magma_print_residual( A.num_rows, dy.dval, dyTranssub.dval, dyNoTranssub.dval,
dytmp.dval, refsub, queue );
TESTING_CHECK( magma_zvinit( &dy, Magma_DEV, 5, 1, c_zero, queue ));
magmablas_zgemv_cpu( MagmaNoTrans, c_flip, dA.num_cols, 2, c_one, dA, 3*dA.num_cols, dA.num_cols,
dx, 0, 1, c_zero, &dy, 0, 1, queue );
printf("\tafter magma_zgemv_cpu NoTrans col x subrow; col line %d\n", __LINE__);
printf("y:\n");
magma_zprint_matrix(dy, queue);
magma_print_residual( A.num_rows, dy.dval, dyTranssub.dval, dyNoTranssub.dval,
dytmp.dval, ref, queue );
TESTING_CHECK( magma_zvinit( &dy, Magma_DEV, 5, 1, c_zero, queue ));
magmablas_zgemv( MagmaTrans, dA.num_cols, 2, c_one, &dA.dval[3*dA.num_cols], dA.num_cols,
dx.dval, 1, c_zero, dy.dval, 1, queue );
printf("\tafter magma_zgemv Trans col x subrow; col line %d\n", __LINE__);
printf("y:\n");
magma_zprint_matrix(dy, queue);
magma_print_residual( A.num_rows, dy.dval, dyTranssub.dval, dyNoTranssub.dval,
dytmp.dval, refsub, queue );
TESTING_CHECK( magma_zvinit( &dy, Magma_DEV, 5, 1, c_zero, queue ));
magmablas_zgemv_cpu( MagmaTrans, c_flip, dA.num_cols, 2, c_one, dA, 3*dA.num_cols, dA.num_cols,
dx, 0, 1, c_zero, &dy, 0, 1, queue );
printf("\tafter magma_zgemv_cpu Trans col x subrow; col line %d\n", __LINE__);
printf("y:\n");
magma_zprint_matrix(dy, queue);
magma_print_residual( A.num_rows, dy.dval, dyTranssub.dval, dyNoTranssub.dval,
dytmp.dval, ref, queue );
TESTING_CHECK( magma_zvinit( &dy, Magma_DEV, 5, 1, c_zero, queue ));
magmablas_zgemv( MagmaTrans, dA.num_cols, 2, c_one, &dA.dval[3*dA.num_cols], dA.ld,
dx.dval, 1, c_zero, dy.dval, 1, queue );
printf("\tafter magma_zgemv Trans col x subrow; ld line %d\n", __LINE__);
printf("y:\n");
magma_zprint_matrix(dy, queue);
magma_print_residual( A.num_rows, dy.dval, dyTranssub.dval, dyNoTranssub.dval,
dytmp.dval, refsub, queue );
TESTING_CHECK( magma_zvinit( &dy, Magma_DEV, 5, 1, c_zero, queue ));
magmablas_zgemv_cpu( MagmaTrans, c_flip, dA.num_cols, 2, c_one, dA, 3*dA.num_cols, dA.ld,
dx, 0, 1, c_zero, &dy, 0, 1, queue );
printf("\tafter magma_zgemv_cpu Trans col x subrow; ld line %d\n", __LINE__);
printf("y:\n");
magma_zprint_matrix(dy, queue);
magma_print_residual( A.num_rows, dy.dval, dyTranssub.dval, dyNoTranssub.dval,
dytmp.dval, ref, queue );
printf("=======\tbefore magma_zgemv NoTrans 3x2 lower right submatrix line %d\n", __LINE__);
TESTING_CHECK( magma_zvinit( &dy, Magma_DEV, 5, 1, c_zero, queue ));
magmablas_zgemv( MagmaNoTrans, 2, 3, c_one, &dA.dval[2*dA.num_cols+1], dA.num_cols,
dx.dval, 1, c_zero, dy.dval, 1, queue );
printf("\tafter magma_zgemv NoTrans col x subrow; col line %d\n", __LINE__);
printf("y:\n");
magma_zprint_matrix(dy, queue);
magma_print_residual( A.num_rows, dy.dval, dyTranssublr.dval, dyNoTranssublr.dval,
dytmp.dval, refsub, queue );
TESTING_CHECK( magma_zvinit( &dy, Magma_DEV, 5, 1, c_zero, queue ));
magmablas_zgemv_cpu( MagmaNoTrans, c_flip, 2, 3, c_one, dA, 2*dA.num_cols+1, dA.num_cols,
dx, 0, 1, c_zero, &dy, 0, 1, queue );
printf("\tafter magma_zgemv_cpu NoTrans col x subrow; col line %d\n", __LINE__);
printf("y:\n");
magma_zprint_matrix(dy, queue);
magma_print_residual( A.num_rows, dy.dval, dyTranssublr.dval, dyNoTranssublr.dval,
dytmp.dval, ref, queue );
TESTING_CHECK( magma_zvinit( &dy, Magma_DEV, 5, 1, c_zero, queue ));
magmablas_zgemv( MagmaTrans, 2, 3, c_one, &dA.dval[2*dA.num_cols+1], dA.num_cols,
dx.dval, 1, c_zero, dy.dval, 1, queue );
printf("\tafter magma_zgemv Trans col x subrow; col line %d\n", __LINE__);
printf("y:\n");
magma_zprint_matrix(dy, queue);
magma_print_residual( A.num_rows, dy.dval, dyTranssublr.dval, dyNoTranssublr.dval,
dytmp.dval, refsub, queue );
TESTING_CHECK( magma_zvinit( &dy, Magma_DEV, 5, 1, c_zero, queue ));
magmablas_zgemv_cpu( MagmaTrans, c_flip, 2, 3, c_one, dA, 2*dA.num_cols+1, dA.num_cols,
dx, 0, 1, c_zero, &dy, 0, 1, queue );
printf("\tafter magma_zgemv_cpu Trans col x subrow; col line %d\n", __LINE__);
printf("y:\n");
magma_zprint_matrix(dy, queue);
magma_print_residual( A.num_rows, dy.dval, dyTranssublr.dval, dyNoTranssublr.dval,
dytmp.dval, ref, queue );
TESTING_CHECK( magma_zvinit( &dy, Magma_DEV, 5, 1, c_zero, queue ));
printf("=======\tbefore magma_zgemv Trans line %d\n", __LINE__);
printf("A:\n");
magma_zprint_matrix(A, queue);
printf("x:\n");
magma_zprint_matrix(dx, queue);
printf("y:\n");
magma_zprint_matrix(dy, queue);
printf("A.num_rows=%d A.num_cols=%d A.ld=%d\n", A.num_rows, A.num_cols, A.ld);
magmablas_zgemv( MagmaTrans, dA.num_rows, dA.num_cols, c_one, dA.dval, dA.ld, dx.dval, 1, c_zero, dy.dval, 1, queue );
printf("\tafter magma_zgemv Trans row x col; ld line %d\n", __LINE__);
printf("y:\n");
magma_zprint_matrix(dy, queue);
magma_print_residual( A.num_rows, dy.dval, dyTrans.dval, dyNoTrans.dval, dytmp.dval, ref, queue );
TESTING_CHECK( magma_zvinit( &dy, Magma_DEV, 5, 1, c_zero, queue ));
magmablas_zgemv_cpu( MagmaTrans, c_flip, dA.num_rows, dA.num_cols, c_one, dA, 0, dA.ld, dx, 0, 1, c_zero, &dy, 0, 1, queue );
printf("\tafter magma_zgemv_cpu Trans row x col; ld line %d\n", __LINE__);
printf("y:\n");
magma_zprint_matrix(dy, queue);
magma_print_residual( A.num_rows, dy.dval, dyTrans.dval, dyNoTrans.dval, dytmp.dval, ref, queue );
TESTING_CHECK( magma_zvinit( &dy, Magma_DEV, 5, 1, c_zero, queue ));
printf("=======\tbefore magma_zgemv Trans line %d\n", __LINE__);
printf("A:\n");
magma_zprint_matrix(dA, queue);
printf("x:\n");
magma_zprint_matrix(dx, queue);
printf("y:\n");
magma_zprint_matrix(dy, queue);
printf("A.num_rows=%d A.num_cols=%d A.ld=%d\n", A.num_rows, A.num_cols, A.ld);
magmablas_zgemv( MagmaTrans, dA.num_cols, dA.num_rows, c_one, dA.dval, dA.num_cols, dx.dval, 1, c_zero, dy.dval, 1, queue );
printf("\tafter magma_zgemv Trans col x row; col line %d\n", __LINE__);
printf("y:\n");
magma_zprint_matrix(dy, queue);
magma_print_residual( A.num_rows, dy.dval, dyTrans.dval, dyNoTrans.dval, dytmp.dval, ref, queue );
TESTING_CHECK( magma_zvinit( &dy, Magma_DEV, 5, 1, c_zero, queue ));
magmablas_zgemv_cpu( MagmaTrans, c_flip, dA.num_cols, dA.num_rows, c_one, dA, 0, dA.num_cols, dx, 0, 1, c_zero, &dy, 0, 1, queue );
printf("\tafter magma_zgemv Trans col x row; col line %d\n", __LINE__);
printf("y:\n");
magma_zprint_matrix(dy, queue);
magma_print_residual( A.num_rows, dy.dval, dyTrans.dval, dyNoTrans.dval, dytmp.dval, ref, queue );
TESTING_CHECK( magma_zvinit( &dy, Magma_DEV, 5, 1, c_zero, queue ));
printf("=======\tbefore magma_zgemv ConjTrans line %d\n", __LINE__);
printf("A:\n");
magma_zprint_matrix(A, queue);
printf("x:\n");
magma_zprint_matrix(dx, queue);
printf("y:\n");
magma_zprint_matrix(dy, queue);
printf("A.num_rows=%d A.num_cols=%d A.ld=%d\n", A.num_rows, A.num_cols, A.ld);
magmablas_zgemv( MagmaConjTrans, dA.num_rows, dA.num_cols, c_one, dA.dval, dA.ld, dx.dval, 1, c_zero, dy.dval, 1, queue );
printf("\tafter magma_zgemv ConjTrans row x col; ld line %d\n", __LINE__);
printf("y:\n");
magma_zprint_matrix(dy, queue);
magma_print_residual( A.num_rows, dy.dval, dyTrans.dval, dyNoTrans.dval, dytmp.dval, ref, queue );
TESTING_CHECK( magma_zvinit( &dy, Magma_DEV, 5, 1, c_zero, queue ));
magmablas_zgemv_cpu( MagmaConjTrans, c_flip, dA.num_rows, dA.num_cols, c_one, dA, 0, dA.ld, dx, 0, 1, c_zero, &dy, 0, 1, queue );
printf("\tafter magma_zgemv ConjTrans row x col; ld line %d\n", __LINE__);
printf("y:\n");
magma_zprint_matrix(dy, queue);
magma_print_residual( A.num_rows, dy.dval, dyTrans.dval, dyNoTrans.dval, dytmp.dval, ref, queue );
TESTING_CHECK( magma_zvinit( &dy, Magma_DEV, 5, 1, c_zero, queue ));
printf("\tbefore magma_zgemv Trans line %d\n", __LINE__);
printf("A:\n");
magma_zprint_matrix(A, queue);
printf("x:\n");
magma_zprint_matrix(dx, queue);
printf("y:\n");
magma_zprint_matrix(dy, queue);
printf("A.num_rows=%d A.num_cols=%d A.ld=%d\n", A.num_rows, A.num_cols, A.ld);
magmablas_zgemv( MagmaConjTrans, dA.num_cols, dA.num_rows, c_one, dA.dval, dA.num_cols, dx.dval, 1, c_zero, dy.dval, 1, queue );
printf("\tafter magma_zgemv ConjTrans col x row; col line %d\n", __LINE__);
printf("y:\n");
magma_zprint_matrix(dy, queue);
magma_print_residual( A.num_rows, dy.dval, dyTrans.dval, dyNoTrans.dval, dytmp.dval, ref, queue );
TESTING_CHECK( magma_zvinit( &dy, Magma_DEV, 5, 1, c_zero, queue ));
magmablas_zgemv_cpu( MagmaConjTrans, c_flip, dA.num_cols, dA.num_rows, c_one, dA, 0, dA.num_cols, dx, 0, 1, c_zero, &dy, 0, 1, queue );
printf("\tafter magma_zgemv_cpu ConjTrans col x row; col line %d\n", __LINE__);
printf("y:\n");
magma_zprint_matrix(dy, queue);
magma_print_residual( A.num_rows, dy.dval, dyTrans.dval, dyNoTrans.dval, dytmp.dval, ref, queue );
#endif
magma_zmfree( &A, queue );
magma_zmfree( &dA, queue );
magma_zmfree( &dx, queue );
magma_zmfree( &dy, queue );
magma_zmfree( &yNoTrans, queue );
magma_zmfree( &dyNoTrans, queue );
magma_zmfree( &yTrans, queue );
magma_zmfree( &dyTrans, queue );
magma_zmfree( &yNoTranssub, queue );
magma_zmfree( &dyNoTranssub, queue );
magma_zmfree( &yTranssub, queue );
magma_zmfree( &dyTranssub, queue );
magma_zmfree( &yNoTranssublr, queue );
magma_zmfree( &dyNoTranssublr, queue );
magma_zmfree( &yTranssublr, queue );
magma_zmfree( &dyTranssublr, queue );
magma_queue_destroy( queue );
TESTING_CHECK( magma_finalize() );
return info;
}
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