/**
Purpose
-------
SLATRD2 reduces NB rows and columns of a real symmetric matrix A to
symmetric tridiagonal form by an orthogonal similarity
transformation Q' * A * Q, and returns the matrices V and W which are
needed to apply the transformation to the unreduced part of A.
If UPLO = MagmaUpper, SLATRD reduces the last NB rows and columns of a
matrix, of which the upper triangle is supplied;
if UPLO = MagmaLower, SLATRD reduces the first NB rows and columns of a
matrix, of which the lower triangle is supplied.
This is an auxiliary routine called by SSYTRD2_GPU. It uses an
accelerated HEMV that needs extra memory.
Arguments
---------
@param[in]
uplo magma_uplo_t
Specifies whether the upper or lower triangular part of the
symmetric matrix A is stored:
- = MagmaUpper: Upper triangular
- = MagmaLower: Lower triangular
@param[in]
n INTEGER
The order of the matrix A.
@param[in]
nb INTEGER
The number of rows and columns to be reduced.
@param[in,out]
A REAL array, dimension (LDA,N)
On entry, the symmetric matrix A. If UPLO = MagmaUpper, the leading
n-by-n upper triangular part of A contains the upper
triangular part of the matrix A, and the strictly lower
triangular part of A is not referenced. If UPLO = MagmaLower, the
leading n-by-n lower triangular part of A contains the lower
triangular part of the matrix A, and the strictly upper
triangular part of A is not referenced.
On exit:
- if UPLO = MagmaUpper, the last NB columns have been reduced to
tridiagonal form, with the diagonal elements overwriting
the diagonal elements of A; the elements above the diagonal
with the array TAU, represent the orthogonal matrix Q as a
product of elementary reflectors;
- if UPLO = MagmaLower, the first NB columns have been reduced to
tridiagonal form, with the diagonal elements overwriting
the diagonal elements of A; the elements below the diagonal
with the array TAU, represent the orthogonal matrix Q as a
product of elementary reflectors.
See Further Details.
@param[in]
lda INTEGER
The leading dimension of the array A. LDA >= (1,N).
@param[out]
e REAL array, dimension (N-1)
If UPLO = MagmaUpper, E(n-nb:n-1) contains the superdiagonal
elements of the last NB columns of the reduced matrix;
if UPLO = MagmaLower, E(1:nb) contains the subdiagonal elements of
the first NB columns of the reduced matrix.
@param[out]
tau REAL array, dimension (N-1)
The scalar factors of the elementary reflectors, stored in
TAU(n-nb:n-1) if UPLO = MagmaUpper, and in TAU(1:nb) if UPLO = MagmaLower.
See Further Details.
@param[out]
W REAL array, dimension (LDW,NB)
The n-by-nb matrix W required to update the unreduced part
of A.
@param[in]
ldw INTEGER
The leading dimension of the array W. LDW >= max(1,N).
@param
dA TODO: dimension (ldda, n) ??
@param
ldda TODO: ldda >= n ??
@param
dW TODO: dimension (lddw, 2*nb) ??
@param
lddw TODO: lddw >= n ??
@param
dwork TODO: dimension (ldwork) ??
@param
ldwork TODO: ldwork >= ceil(n/64)*ldda ??
Further Details
---------------
If UPLO = MagmaUpper, the matrix Q is represented as a product of elementary
reflectors
Q = H(n) H(n-1) . . . H(n-nb+1).
Each H(i) has the form
H(i) = I - tau * v * v'
where tau is a real scalar, and v is a real vector with
v(i:n) = 0 and v(i-1) = 1; v(1:i-1) is stored on exit in A(1:i-1,i),
and tau in TAU(i-1).
If UPLO = MagmaLower, the matrix Q is represented as a product of elementary
reflectors
Q = H(1) H(2) . . . H(nb).
Each H(i) has the form
H(i) = I - tau * v * v'
where tau is a real scalar, and v is a real vector with
v(1:i) = 0 and v(i+1) = 1; v(i+1:n) is stored on exit in A(i+1:n,i),
and tau in TAU(i).
The elements of the vectors v together form the n-by-nb matrix V
which is needed, with W, to apply the transformation to the unreduced
part of the matrix, using a symmetric rank-2k update of the form:
A := A - V*W' - W*V'.
The contents of A on exit are illustrated by the following examples
with n = 5 and nb = 2:
if UPLO = MagmaUpper: if UPLO = MagmaLower:
( a a a v4 v5 ) ( d )
( a a v4 v5 ) ( 1 d )
( a 1 v5 ) ( v1 1 a )
( d 1 ) ( v1 v2 a a )
( d ) ( v1 v2 a a a )
where d denotes a diagonal element of the reduced matrix, a denotes
an element of the original matrix that is unchanged, and vi denotes
an element of the vector defining H(i).
@ingroup magma_ssyev_aux
********************************************************************/
extern "C" magma_int_t
magma_slatrd2(
magma_uplo_t uplo, magma_int_t n, magma_int_t nb,
float *A, magma_int_t lda,
float *e, float *tau,
float *W, magma_int_t ldw,
magmaFloat_ptr dA, magma_int_t ldda,
magmaFloat_ptr dW, magma_int_t lddw,
magmaFloat_ptr dwork, magma_int_t ldwork)
{
#define A(i_, j_) (A + (i_) + (j_)*lda)
#define W(i_, j_) (W + (i_) + (j_)*ldw)
#define dA(i_, j_) (dA + (i_) + (j_)*ldda)
#define dW(i_, j_) (dW + (i_) + (j_)*lddw)
const float c_neg_one = MAGMA_S_NEG_ONE;
const float c_one = MAGMA_S_ONE;
const float c_zero = MAGMA_S_ZERO;
const magma_int_t ione = 1;
float alpha, value;
magma_int_t i, i_n, i_1, iw;
/* Check arguments */
magma_int_t info = 0;
if ( uplo != MagmaLower && uplo != MagmaUpper ) {
info = -1;
} else if ( n < 0 ) {
info = -2;
} else if ( nb < 1 ) {
info = -3;
} else if ( lda < max(1,n) ) {
info = -5;
} else if ( ldw < max(1,n) ) {
info = -9;
} else if ( ldda < max(1,n) ) {
info = -11;
} else if ( lddw < max(1,n) ) {
info = -13;
} else if ( ldwork < ldda*ceildiv(n,64) ) {
info = -15;
}
if (info != 0) {
magma_xerbla( __func__, -(info) );
return info;
}
/* Quick return if possible */
if (n == 0) {
return info;
}
magma_queue_t stream;
magma_queue_create( &stream );
float *f;
magma_smalloc_cpu( &f, n );
if ( f == NULL ) {
info = MAGMA_ERR_HOST_ALLOC;
return info;
}
if (uplo == MagmaUpper) {
/* Reduce last NB columns of upper triangle */
for (i = n-1; i >= n - nb; --i) {
i_1 = i + 1;
i_n = n - i - 1;
iw = i - n + nb;
if (i < n-1) {
/* Update A(1:i,i) */
#if defined(PRECISION_z) || defined(PRECISION_c)
lapackf77_slacgv( &i_n, W(i, iw+1), &ldw );
#endif
blasf77_sgemv( "No transpose", &i_1, &i_n, &c_neg_one, A(0, i+1), &lda,
W(i, iw+1), &ldw, &c_one, A(0, i), &ione );
#if defined(PRECISION_z) || defined(PRECISION_c)
lapackf77_slacgv( &i_n, W(i, iw+1), &ldw );
lapackf77_slacgv( &i_n, A(i, i+1), &lda );
#endif
blasf77_sgemv( "No transpose", &i_1, &i_n, &c_neg_one, W(0, iw+1), &ldw,
A(i, i+1), &lda, &c_one, A(0, i), &ione );
#if defined(PRECISION_z) || defined(PRECISION_c)
lapackf77_slacgv( &i_n, A(i, i+1), &lda );
#endif
}
if (i > 0) {
/* Generate elementary reflector H(i) to annihilate A(1:i-2,i) */
alpha = *A(i-1, i);
lapackf77_slarfg( &i, &alpha, A(0, i), &ione, &tau[i - 1] );
e[i-1] = MAGMA_S_REAL( alpha );
*A(i-1,i) = MAGMA_S_ONE;
/* Compute W(1:i-1,i) */
// 1. Send the block reflector A(0:n-i-1,i) to the GPU
magma_ssetvector_async( i, A(0, i), 1, dA(0, i), 1, stream );
magmablas_ssymv_work( MagmaUpper, i, c_one, dA(0, 0), ldda,
dA(0, i), ione, c_zero, dW(0, iw), ione,
dwork, ldwork, stream );
// 2. Start getting the result back (asynchronously)
magma_sgetmatrix_async( i, 1,
dW(0, iw), lddw,
W(0, iw), ldw, stream );
if (i < n-1) {
blasf77_sgemv( MagmaConjTransStr, &i, &i_n, &c_one, W(0, iw+1), &ldw,
A(0, i), &ione, &c_zero, W(i+1, iw), &ione );
}
// 3. Here we need ssymv result W(0, iw)
magma_queue_sync( stream );
if (i < n-1) {
blasf77_sgemv( "No transpose", &i, &i_n, &c_neg_one, A(0, i+1), &lda,
W(i+1, iw), &ione, &c_one, W(0, iw), &ione );
blasf77_sgemv( MagmaConjTransStr, &i, &i_n, &c_one, A(0, i+1), &lda,
A(0, i), &ione, &c_zero, W(i+1, iw), &ione );
blasf77_sgemv( "No transpose", &i, &i_n, &c_neg_one, W(0, iw+1), &ldw,
W(i+1, iw), &ione, &c_one, W(0, iw), &ione );
}
blasf77_sscal( &i, &tau[i - 1], W(0, iw), &ione );
value = magma_cblas_sdot( i, W(0,iw), ione, A(0,i), ione );
alpha = tau[i - 1] * -0.5f * value;
blasf77_saxpy( &i, &alpha, A(0, i), &ione,
W(0, iw), &ione );
}
}
}
else {
/* Reduce first NB columns of lower triangle */
for (i = 0; i < nb; ++i) {
/* Update A(i:n,i) */
i_n = n - i;
#if defined(PRECISION_z) || defined(PRECISION_c)
lapackf77_slacgv( &i, W(i, 0), &ldw );
#endif
blasf77_sgemv( "No transpose", &i_n, &i, &c_neg_one, A(i, 0), &lda,
W(i, 0), &ldw, &c_one, A(i, i), &ione );
#if defined(PRECISION_z) || defined(PRECISION_c)
lapackf77_slacgv( &i, W(i, 0), &ldw );
lapackf77_slacgv( &i, A(i, 0), &lda );
#endif
blasf77_sgemv( "No transpose", &i_n, &i, &c_neg_one, W(i, 0), &ldw,
A(i, 0), &lda, &c_one, A(i, i), &ione );
#if defined(PRECISION_z) || defined(PRECISION_c)
lapackf77_slacgv( &i, A(i, 0), &lda );
#endif
if (i < n-1) {
/* Generate elementary reflector H(i) to annihilate A(i+2:n,i) */
i_n = n - i - 1;
alpha = *A(i+1, i);
lapackf77_slarfg( &i_n, &alpha, A(min(i+2,n-1), i), &ione, &tau[i] );
e[i] = MAGMA_S_REAL( alpha );
*A(i+1,i) = MAGMA_S_ONE;
/* Compute W(i+1:n,i) */
// 1. Send the block reflector A(i+1:n,i) to the GPU
magma_ssetvector_async( i_n, A(i+1, i), 1, dA(i+1, i), 1, stream );
magmablas_ssymv_work( MagmaLower, i_n, c_one, dA(i+1, i+1), ldda,
dA(i+1, i), ione, c_zero, dW(i+1, i), ione,
dwork, ldwork, stream );
// 2. Start getting the result back (asynchronously)
magma_sgetmatrix_async( i_n, 1,
dW(i+1, i), lddw,
W(i+1, i), ldw, stream );
blasf77_sgemv( MagmaConjTransStr, &i_n, &i, &c_one, W(i+1, 0), &ldw,
A(i+1, i), &ione, &c_zero, W(0, i), &ione );
blasf77_sgemv( "No transpose", &i_n, &i, &c_neg_one, A(i+1, 0), &lda,
W(0, i), &ione, &c_zero, f, &ione );
blasf77_sgemv( MagmaConjTransStr, &i_n, &i, &c_one, A(i+1, 0), &lda,
A(i+1, i), &ione, &c_zero, W(0, i), &ione );
// 3. Here we need ssymv result W(i+1, i)
magma_queue_sync( stream );
if (i != 0)
blasf77_saxpy( &i_n, &c_one, f, &ione, W(i+1, i), &ione );
blasf77_sgemv( "No transpose", &i_n, &i, &c_neg_one, W(i+1, 0), &ldw,
W(0, i), &ione, &c_one, W(i+1, i), &ione );
blasf77_sscal( &i_n, &tau[i], W(i+1,i), &ione );
value = magma_cblas_sdot( i_n, W(i+1,i), ione, A(i+1,i), ione );
alpha = tau[i] * -0.5f * value;
blasf77_saxpy( &i_n, &alpha, A(i+1, i), &ione, W(i+1,i), &ione );
}
}
}
magma_free_cpu( f );
magma_queue_destroy( stream );
return info;
} /* magma_slatrd */
int main(int argc, char **argv)
{
TESTING_INIT();
const float c_neg_one = MAGMA_S_NEG_ONE;
const magma_int_t ione = 1;
real_Double_t atomics_perf, atomics_time;
real_Double_t gflops, magma_perf, magma_time, cublas_perf, cublas_time, cpu_perf, cpu_time;
float magma_error, atomics_error, cublas_error, 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;
float alpha = MAGMA_S_MAKE( 1.5, -2.3 );
float beta = MAGMA_S_MAKE( -0.6, 0.8 );
float *A, *X, *Y, *Yatomics, *Ycublas, *Ymagma;
magmaFloat_ptr dA, dX, dY, dwork;
magma_int_t status = 0;
magma_opts opts;
parse_opts( argc, argv, &opts );
float tol = opts.tolerance * lapackf77_slamch("E");
printf("uplo = %s\n", lapack_uplo_const(opts.uplo) );
printf(" N MAGMA Gflop/s (ms) Atomics Gflop/s CUBLAS Gflop/s CPU Gflop/s MAGMA error Atomics CUBLAS\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 = ((N + 31)/32)*32;
sizeA = N*lda;
sizeX = N*incx;
sizeY = N*incy;
gflops = FLOPS_SSYMV( N ) / 1e9;
TESTING_MALLOC_CPU( A, float, sizeA );
TESTING_MALLOC_CPU( X, float, sizeX );
TESTING_MALLOC_CPU( Y, float, sizeY );
TESTING_MALLOC_CPU( Yatomics, float, sizeY );
TESTING_MALLOC_CPU( Ycublas, float, sizeY );
TESTING_MALLOC_CPU( Ymagma, float, sizeY );
TESTING_MALLOC_DEV( dA, float, ldda*N );
TESTING_MALLOC_DEV( dX, float, sizeX );
TESTING_MALLOC_DEV( dY, float, sizeY );
blocks = (N + nb - 1) / nb;
ldwork = ldda*blocks;
TESTING_MALLOC_DEV( dwork, float, ldwork );
magmablas_slaset( MagmaFull, ldwork, 1, MAGMA_S_NAN, MAGMA_S_NAN, dwork, ldwork );
magmablas_slaset( MagmaFull, ldda, N, MAGMA_S_NAN, MAGMA_S_NAN, dA, ldda );
/* Initialize the matrix */
lapackf77_slarnv( &ione, ISEED, &sizeA, A );
magma_smake_symmetric( 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_slaset( "Lower", &N1, &N1, &MAGMA_S_NAN, &MAGMA_S_NAN, &A[1], &lda );
}
else {
lapackf77_slaset( "Upper", &N1, &N1, &MAGMA_S_NAN, &MAGMA_S_NAN, &A[lda], &lda );
}
lapackf77_slarnv( &ione, ISEED, &sizeX, X );
lapackf77_slarnv( &ione, ISEED, &sizeY, Y );
/* =====================================================================
Performs operation using CUBLAS
=================================================================== */
magma_ssetmatrix( N, N, A, lda, dA, ldda );
magma_ssetvector( N, X, incx, dX, incx );
magma_ssetvector( N, Y, incy, dY, incy );
cublas_time = magma_sync_wtime( 0 );
cublasSsymv( opts.handle, cublas_uplo_const(opts.uplo),
N, &alpha, dA, ldda, dX, incx, &beta, dY, incy );
cublas_time = magma_sync_wtime( 0 ) - cublas_time;
cublas_perf = gflops / cublas_time;
magma_sgetvector( N, dY, incy, Ycublas, incy );
/* =====================================================================
Performs operation using CUBLAS - using atomics
=================================================================== */
cublasSetAtomicsMode( opts.handle, CUBLAS_ATOMICS_ALLOWED );
magma_ssetvector( N, Y, incy, dY, incy );
atomics_time = magma_sync_wtime( 0 );
cublasSsymv( opts.handle, cublas_uplo_const(opts.uplo),
N, &alpha, dA, ldda, dX, incx, &beta, dY, incy );
atomics_time = magma_sync_wtime( 0 ) - atomics_time;
atomics_perf = gflops / atomics_time;
magma_sgetvector( N, dY, incy, Yatomics, incy );
cublasSetAtomicsMode( opts.handle, CUBLAS_ATOMICS_NOT_ALLOWED );
/* =====================================================================
Performs operation using MAGMABLAS
=================================================================== */
magma_ssetvector( N, Y, incy, dY, incy );
magma_time = magma_sync_wtime( 0 );
if ( opts.version == 1 ) {
magmablas_ssymv_work( opts.uplo, N, alpha, dA, ldda, dX, incx, beta, dY, incy, dwork, ldwork, opts.queue );
}
else {
// non-work interface (has added overhead)
magmablas_ssymv( opts.uplo, N, alpha, dA, ldda, dX, incx, beta, dY, incy );
}
magma_time = magma_sync_wtime( 0 ) - magma_time;
magma_perf = gflops / magma_time;
magma_sgetvector( N, dY, incy, Ymagma, incy );
/* =====================================================================
Performs operation using CPU BLAS
=================================================================== */
cpu_time = magma_wtime();
blasf77_ssymv( 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
=================================================================== */
blasf77_saxpy( &N, &c_neg_one, Y, &incy, Ymagma, &incy );
magma_error = lapackf77_slange( "M", &N, &ione, Ymagma, &N, work ) / N;
blasf77_saxpy( &N, &c_neg_one, Y, &incy, Ycublas, &incy );
cublas_error = lapackf77_slange( "M", &N, &ione, Ycublas, &N, work ) / N;
blasf77_saxpy( &N, &c_neg_one, Y, &incy, Yatomics, &incy );
atomics_error = lapackf77_slange( "M", &N, &ione, Yatomics, &N, work ) / N;
bool ok = (magma_error < tol && cublas_error < tol && atomics_error < tol);
status += ! ok;
printf("%5d %7.2f (%7.2f) %7.2f (%7.2f) %7.2f (%7.2f) %7.2f (%7.2f) %8.2e %8.2e %8.2e %s\n",
(int) N,
magma_perf, 1000.*magma_time,
atomics_perf, 1000.*atomics_time,
cublas_perf, 1000.*cublas_time,
cpu_perf, 1000.*cpu_time,
magma_error, cublas_error, atomics_error,
(ok ? "ok" : "failed"));
TESTING_FREE_CPU( A );
TESTING_FREE_CPU( X );
TESTING_FREE_CPU( Y );
TESTING_FREE_CPU( Ycublas );
TESTING_FREE_CPU( Yatomics );
TESTING_FREE_CPU( Ymagma );
TESTING_FREE_DEV( dA );
TESTING_FREE_DEV( dX );
TESTING_FREE_DEV( dY );
TESTING_FREE_DEV( dwork );
fflush( stdout );
}
if ( opts.niter > 1 ) {
printf( "\n" );
}
}
TESTING_FINALIZE();
return status;
}
int main(int argc, char **argv)
{
TESTING_INIT();
real_Double_t gflops, magma_perf, magma_time, cublas_perf, cublas_time, cpu_perf, cpu_time;
float magma_error, cublas_error, work[1];
magma_int_t ione = 1;
magma_int_t ISEED[4] = {0,0,0,1};
magma_int_t N, lda, sizeA, sizeX, sizeY, blocks, ldwork;
magma_int_t incx = 1;
magma_int_t incy = 1;
magma_int_t nb = 64;
float c_neg_one = MAGMA_S_NEG_ONE;
float alpha = MAGMA_S_MAKE( 1.5, -2.3 );
float beta = MAGMA_S_MAKE( -0.6, 0.8 );
float *A, *X, *Y, *Ycublas, *Ymagma;
float *dA, *dX, *dY, *dwork;
magma_opts opts;
parse_opts( argc, argv, &opts );
printf(" N MAGMA Gflop/s (ms) CUBLAS Gflop/s (ms) CPU Gflop/s (ms) MAGMA error CUBLAS error\n");
printf("=============================================================================================\n");
for( int i = 0; i < opts.ntest; ++i ) {
for( int iter = 0; iter < opts.niter; ++iter ) {
N = opts.nsize[i];
lda = ((N + 31)/32)*32;
sizeA = N*lda;
sizeX = N*incx;
sizeY = N*incy;
gflops = FLOPS_SSYMV( N ) / 1e9;
TESTING_MALLOC_CPU( A, float, sizeA );
TESTING_MALLOC_CPU( X, float, sizeX );
TESTING_MALLOC_CPU( Y, float, sizeY );
TESTING_MALLOC_CPU( Ycublas, float, sizeY );
TESTING_MALLOC_CPU( Ymagma, float, sizeY );
TESTING_MALLOC_DEV( dA, float, sizeA );
TESTING_MALLOC_DEV( dX, float, sizeX );
TESTING_MALLOC_DEV( dY, float, sizeY );
blocks = (N + nb - 1) / nb;
ldwork = lda * (blocks + 1);
TESTING_MALLOC_DEV( dwork, float, ldwork );
/* Initialize the matrix */
lapackf77_slarnv( &ione, ISEED, &sizeA, A );
magma_smake_symmetric( N, A, lda );
lapackf77_slarnv( &ione, ISEED, &sizeX, X );
lapackf77_slarnv( &ione, ISEED, &sizeY, Y );
/* =====================================================================
Performs operation using CUBLAS
=================================================================== */
magma_ssetmatrix( N, N, A, lda, dA, lda );
magma_ssetvector( N, X, incx, dX, incx );
magma_ssetvector( N, Y, incy, dY, incy );
cublas_time = magma_sync_wtime( 0 );
cublasSsymv( opts.uplo, N, alpha, dA, lda, dX, incx, beta, dY, incy );
cublas_time = magma_sync_wtime( 0 ) - cublas_time;
cublas_perf = gflops / cublas_time;
magma_sgetvector( N, dY, incy, Ycublas, incy );
/* =====================================================================
Performs operation using MAGMA BLAS
=================================================================== */
magma_ssetvector( N, Y, incy, dY, incy );
magma_time = magma_sync_wtime( 0 );
magmablas_ssymv_work( opts.uplo, N, alpha, dA, lda, dX, incx, beta, dY, incy, dwork, ldwork );
// TODO provide option to test non-work interface
//magmablas_ssymv( opts.uplo, N, alpha, dA, lda, dX, incx, beta, dY, incy );
magma_time = magma_sync_wtime( 0 ) - magma_time;
magma_perf = gflops / magma_time;
magma_sgetvector( N, dY, incy, Ymagma, incy );
/* =====================================================================
Performs operation using CPU BLAS
=================================================================== */
cpu_time = magma_wtime();
blasf77_ssymv( &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
=================================================================== */
blasf77_saxpy( &N, &c_neg_one, Y, &incy, Ymagma, &incy );
magma_error = lapackf77_slange( "M", &N, &ione, Ymagma, &N, work ) / N;
blasf77_saxpy( &N, &c_neg_one, Y, &incy, Ycublas, &incy );
cublas_error = lapackf77_slange( "M", &N, &ione, Ycublas, &N, work ) / N;
printf("%5d %7.2f (%7.2f) %7.2f (%7.2f) %7.2f (%7.2f) %8.2e %8.2e\n",
(int) N,
magma_perf, 1000.*magma_time,
cublas_perf, 1000.*cublas_time,
cpu_perf, 1000.*cpu_time,
magma_error, cublas_error );
TESTING_FREE_CPU( A );
TESTING_FREE_CPU( X );
TESTING_FREE_CPU( Y );
TESTING_FREE_CPU( Ycublas );
TESTING_FREE_CPU( Ymagma );
TESTING_FREE_DEV( dA );
TESTING_FREE_DEV( dX );
TESTING_FREE_DEV( dY );
TESTING_FREE_DEV( dwork );
}
if ( opts.niter > 1 ) {
printf( "\n" );
}
}
TESTING_FINALIZE();
return 0;
}
