int main(int argc, char **argv)
{
TESTING_INIT();
real_Double_t gflops, magma_perf, magma_time, dev_perf, dev_time, cpu_perf, cpu_time;
float magma_error, dev_error, work[1];
magma_int_t ione = 1;
magma_int_t ISEED[4] = {0,0,0,1};
magma_int_t M, N, Xm, Ym, lda, sizeA, sizeX, sizeY;
magma_int_t incx = 1;
magma_int_t incy = 1;
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, *Ydev, *Ymagma;
magmaFloat_ptr dA, dX, dY;
magma_int_t status = 0;
magma_opts opts;
parse_opts( argc, argv, &opts );
float tol = opts.tolerance * lapackf77_slamch("E");
printf("trans = %s\n", lapack_trans_const(opts.transA) );
#ifdef HAVE_CUBLAS
printf(" M N MAGMA Gflop/s (ms) %s Gflop/s (ms) CPU Gflop/s (ms) MAGMA error %s error\n",
g_platform_str, g_platform_str );
#else
printf(" M N %s Gflop/s (ms) CPU Gflop/s (ms) %s error\n",
g_platform_str, g_platform_str );
#endif
printf("===================================================================================================\n");
for( int itest = 0; itest < opts.ntest; ++itest ) {
for( int iter = 0; iter < opts.niter; ++iter ) {
M = opts.msize[itest];
N = opts.nsize[itest];
lda = ((M+31)/32)*32;
gflops = FLOPS_SGEMV( M, N ) / 1e9;
if ( opts.transA == MagmaNoTrans ) {
Xm = N;
Ym = M;
} else {
Xm = M;
Ym = N;
}
sizeA = lda*N;
sizeX = incx*Xm;
sizeY = incy*Ym;
TESTING_MALLOC_CPU( A, float, sizeA );
TESTING_MALLOC_CPU( X, float, sizeX );
TESTING_MALLOC_CPU( Y, float, sizeY );
TESTING_MALLOC_CPU( Ydev, 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 );
/* Initialize the matrix */
lapackf77_slarnv( &ione, ISEED, &sizeA, A );
lapackf77_slarnv( &ione, ISEED, &sizeX, X );
lapackf77_slarnv( &ione, ISEED, &sizeY, Y );
/* =====================================================================
Performs operation using CUBLAS
=================================================================== */
magma_ssetmatrix( M, N, A, lda, dA, 0, lda, opts.queue );
magma_ssetvector( Xm, X, incx, dX, 0, incx, opts.queue );
magma_ssetvector( Ym, Y, incy, dY, 0, incy, opts.queue );
#ifdef HAVE_CUBLAS
dev_time = magma_sync_wtime( 0 );
cublasSgemv( opts.handle, cublas_trans_const(opts.transA),
M, N, &alpha, dA, lda, dX, incx, &beta, dY, incy );
dev_time = magma_sync_wtime( 0 ) - dev_time;
#else
dev_time = magma_sync_wtime( opts.queue );
magma_sgemv( opts.transA, M, N,
alpha, dA, 0, lda,
dX, 0, incx,
beta, dY, 0, incy, opts.queue );
dev_time = magma_sync_wtime( opts.queue ) - dev_time;
#endif
dev_perf = gflops / dev_time;
magma_sgetvector( Ym, dY, 0, incy, Ydev, incy, opts.queue );
/* =====================================================================
Performs operation using MAGMABLAS (currently only with CUDA)
=================================================================== */
#ifdef HAVE_CUBLAS
magma_ssetvector( Ym, Y, incy, dY, incy );
magma_time = magma_sync_wtime( 0 );
magmablas_sgemv( opts.transA, M, N, alpha, dA, lda, dX, incx, beta, dY, incy );
magma_time = magma_sync_wtime( 0 ) - magma_time;
magma_perf = gflops / magma_time;
magma_sgetvector( Ym, dY, incy, Ymagma, incy );
#endif
/* =====================================================================
Performs operation using CPU BLAS
=================================================================== */
cpu_time = magma_wtime();
blasf77_sgemv( lapack_trans_const(opts.transA), &M, &N,
&alpha, A, &lda,
X, &incx,
&beta, Y, &incy );
cpu_time = magma_wtime() - cpu_time;
cpu_perf = gflops / cpu_time;
/* =====================================================================
Check the result
=================================================================== */
float Anorm = lapackf77_slange( "F", &M, &N, A, &lda, work );
float Xnorm = lapackf77_slange( "F", &Xm, &ione, X, &Xm, work );
blasf77_saxpy( &Ym, &c_neg_one, Y, &incy, Ydev, &incy );
dev_error = lapackf77_slange( "F", &Ym, &ione, Ydev, &Ym, work ) / (Anorm * Xnorm);
#ifdef HAVE_CUBLAS
blasf77_saxpy( &Ym, &c_neg_one, Y, &incy, Ymagma, &incy );
magma_error = lapackf77_slange( "F", &Ym, &ione, Ymagma, &Ym, work ) / (Anorm * Xnorm);
printf("%5d %5d %7.2f (%7.2f) %7.2f (%7.2f) %7.2f (%7.2f) %8.2e %8.2e %s\n",
(int) M, (int) N,
magma_perf, 1000.*magma_time,
dev_perf, 1000.*dev_time,
cpu_perf, 1000.*cpu_time,
magma_error, dev_error,
(magma_error < tol && dev_error < tol ? "ok" : "failed"));
status += ! (magma_error < tol && dev_error < tol);
#else
printf("%5d %5d %7.2f (%7.2f) %7.2f (%7.2f) %8.2e %s\n",
(int) M, (int) N,
dev_perf, 1000.*dev_time,
cpu_perf, 1000.*cpu_time,
dev_error,
(dev_error < tol ? "ok" : "failed"));
status += ! (dev_error < tol);
#endif
TESTING_FREE_CPU( A );
TESTING_FREE_CPU( X );
TESTING_FREE_CPU( Y );
TESTING_FREE_CPU( Ydev );
TESTING_FREE_CPU( Ymagma );
TESTING_FREE_DEV( dA );
TESTING_FREE_DEV( dX );
TESTING_FREE_DEV( dY );
fflush( stdout );
}
if ( opts.niter > 1 ) {
printf( "\n" );
}
}
TESTING_FINALIZE();
return status;
}
/* ////////////////////////////////////////////////////////////////////////////
-- Testing zgemm_batched
*/
int main( int argc, char** argv)
{
TESTING_INIT();
real_Double_t gflops, magma_perf, magma_time, cpu_perf, cpu_time;
double magma_error, magma_err, Ynorm, work[1];
magma_int_t M, N, Xm, Ym, lda, ldda;
magma_int_t sizeA, sizeX, sizeY;
magma_int_t incx = 1;
magma_int_t incy = 1;
magma_int_t ione = 1;
magma_int_t ISEED[4] = {0,0,0,1};
magma_int_t status = 0;
magma_int_t batchCount;
magmaDoubleComplex *h_A, *h_X, *h_Y, *h_Ymagma;
magmaDoubleComplex *d_A, *d_X, *d_Y;
magmaDoubleComplex c_neg_one = MAGMA_Z_NEG_ONE;
magmaDoubleComplex alpha = MAGMA_Z_MAKE( 0.29, -0.86 );
magmaDoubleComplex beta = MAGMA_Z_MAKE( -0.48, 0.38 );
magmaDoubleComplex **A_array = NULL;
magmaDoubleComplex **X_array = NULL;
magmaDoubleComplex **Y_array = NULL;
magma_opts opts;
parse_opts( argc, argv, &opts );
batchCount = opts.batchcount;
opts.lapack |= opts.check;
//double tol = opts.tolerance * lapackf77_dlamch("E");
printf("trans = %s\n", lapack_trans_const(opts.transA) );
printf("BatchCount M 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 ) {
M = opts.msize[itest];
N = opts.nsize[itest];
lda = ((M+31)/32)*32;
gflops = FLOPS_ZGEMV( M, N ) / 1e9 * batchCount;
if ( opts.transA == MagmaNoTrans ) {
Xm = N;
Ym = M;
} else {
Xm = M;
Ym = N;
}
sizeA = lda*N*batchCount;
sizeX = incx*Xm*batchCount;
sizeY = incy*Ym*batchCount;
ldda = ((lda+31)/32)*32;
TESTING_MALLOC_CPU( h_A, magmaDoubleComplex, sizeA );
TESTING_MALLOC_CPU( h_X, magmaDoubleComplex, sizeX );
TESTING_MALLOC_CPU( h_Y, magmaDoubleComplex, sizeY );
TESTING_MALLOC_CPU( h_Ymagma, magmaDoubleComplex, sizeY );
TESTING_MALLOC_DEV( d_A, magmaDoubleComplex, ldda*N*batchCount );
TESTING_MALLOC_DEV( d_X, magmaDoubleComplex, sizeX );
TESTING_MALLOC_DEV( d_Y, magmaDoubleComplex, sizeY );
magma_malloc((void**)&A_array, batchCount * sizeof(*A_array));
magma_malloc((void**)&X_array, batchCount * sizeof(*X_array));
magma_malloc((void**)&Y_array, batchCount * sizeof(*Y_array));
/* Initialize the matrices */
lapackf77_zlarnv( &ione, ISEED, &sizeA, h_A );
lapackf77_zlarnv( &ione, ISEED, &sizeX, h_X );
lapackf77_zlarnv( &ione, ISEED, &sizeY, h_Y );
/* =====================================================================
Performs operation using MAGMABLAS
=================================================================== */
magma_zsetmatrix( M, N*batchCount, h_A, lda, d_A, ldda );
magma_zsetvector( Xm*batchCount, h_X, incx, d_X, incx );
magma_zsetvector( Ym*batchCount, h_Y, incy, d_Y, incy );
zset_pointer(A_array, d_A, ldda, 0, 0, ldda*N, batchCount, magma_stream);
zset_pointer(X_array, d_X, 1, 0, 0, incx*Xm, batchCount, magma_stream);
zset_pointer(Y_array, d_Y, 1, 0, 0, incy*Ym, batchCount, magma_stream);
magma_time = magma_sync_wtime( NULL );
magmablas_zgemv_batched(opts.transA, M, N,
alpha, A_array, ldda,
X_array, incx,
beta, Y_array, incy, batchCount, magma_stream);
magma_time = magma_sync_wtime( NULL ) - magma_time;
magma_perf = gflops / magma_time;
magma_zgetvector( Ym*batchCount, d_Y, incy, h_Ymagma, incy );
/* =====================================================================
Performs operation using CPU BLAS
=================================================================== */
if ( opts.lapack ) {
cpu_time = magma_wtime();
for(int i=0; i<batchCount; i++)
{
blasf77_zgemv(
lapack_trans_const(opts.transA),
&M, &N,
&alpha, h_A + i*lda*N, &lda,
h_X + i*Xm, &incx,
&beta, h_Y + i*Ym, &incy );
}
cpu_time = magma_wtime() - cpu_time;
cpu_perf = gflops / cpu_time;
}
/* =====================================================================
Check the result
=================================================================== */
if ( opts.lapack ) {
// compute relative error for both magma relative to lapack,
// |C_magma - C_lapack| / |C_lapack|
magma_error = 0.0;
for(int s=0; s<batchCount; s++)
{
Ynorm = lapackf77_zlange( "M", &M, &ione, h_Y + s*Ym, &incy, work );
blasf77_zaxpy( &Ym, &c_neg_one, h_Y + s*Ym, &ione, h_Ymagma + s*Ym, &ione );
magma_err = lapackf77_zlange( "M", &M, &ione, h_Ymagma + s*Ym, &incy, work ) / Ynorm;
if ( isnan(magma_err) || isinf(magma_err) ) {
magma_error = magma_err;
break;
}
magma_error = max(fabs(magma_err), magma_error);
}
printf("%10d %5d %5d %7.2f (%7.2f) %7.2f (%7.2f) %8.2e \n",
(int) batchCount, (int) M, (int) N,
magma_perf, 1000.*magma_time,
cpu_perf, 1000.*cpu_time,
magma_error);
}
else {
printf("%10d %5d %5d %7.2f (%7.2f) --- ( --- ) ---\n",
(int) batchCount, (int) M, (int) N,
magma_perf, 1000.*magma_time);
}
TESTING_FREE_CPU( h_A );
TESTING_FREE_CPU( h_X );
TESTING_FREE_CPU( h_Y );
TESTING_FREE_CPU( h_Ymagma );
TESTING_FREE_DEV( d_A );
TESTING_FREE_DEV( d_X );
TESTING_FREE_DEV( d_Y );
TESTING_FREE_DEV( A_array );
TESTING_FREE_DEV( X_array );
TESTING_FREE_DEV( Y_array );
fflush( stdout);
}
if ( opts.niter > 1 ) {
printf( "\n" );
}
}
TESTING_FINALIZE();
return status;
}
/* ////////////////////////////////////////////////////////////////////////////
-- Testing dgemm
*/
int main( int argc, char** argv)
{
TESTING_INIT();
real_Double_t gflops, magma_perf, magma_time, cublas_perf, cublas_time, cpu_perf, cpu_time;
double magma_error, cublas_error, Cnorm, work[1];
magma_int_t M, N, K;
magma_int_t Am, An, Bm, Bn;
magma_int_t sizeA, sizeB, sizeC;
magma_int_t lda, ldb, ldc, ldda, lddb, lddc;
magma_int_t ione = 1;
magma_int_t ISEED[4] = {0,0,0,1};
magma_int_t status = 0;
double *h_A, *h_B, *h_C, *h_Cmagma, *h_Ccublas;
double *d_A, *d_B, *d_C;
double c_neg_one = MAGMA_D_NEG_ONE;
double alpha = MAGMA_D_MAKE( 0.29, -0.86 );
double beta = MAGMA_D_MAKE( -0.48, 0.38 );
magma_opts opts;
parse_opts( argc, argv, &opts );
double tol = opts.tolerance * lapackf77_dlamch("E");
printf("If running lapack (option --lapack), MAGMA and CUBLAS error are both computed\n"
"relative to CPU BLAS result. Else, MAGMA error is computed relative to CUBLAS result.\n\n");
printf("transA = %s, transB = %s\n",
lapack_trans_const(opts.transA),
lapack_trans_const(opts.transB) );
printf(" M N K MAGMA Gflop/s (ms) CUBLAS Gflop/s (ms) CPU Gflop/s (ms) MAGMA error CUBLAS error\n");
printf("=========================================================================================================\n");
for( int itest = 0; itest < opts.ntest; ++itest ) {
for( int iter = 0; iter < opts.niter; ++iter ) {
M = opts.msize[itest];
N = opts.nsize[itest];
K = opts.ksize[itest];
gflops = FLOPS_DGEMM( M, N, K ) / 1e9;
if ( opts.transA == MagmaNoTrans ) {
lda = Am = M;
An = K;
} else {
lda = Am = K;
An = M;
}
if ( opts.transB == MagmaNoTrans ) {
ldb = Bm = K;
Bn = N;
} else {
ldb = Bm = N;
Bn = K;
}
ldc = M;
ldda = ((lda+31)/32)*32;
lddb = ((ldb+31)/32)*32;
lddc = ((ldc+31)/32)*32;
sizeA = lda*An;
sizeB = ldb*Bn;
sizeC = ldc*N;
TESTING_MALLOC_CPU( h_A, double, lda*An );
TESTING_MALLOC_CPU( h_B, double, ldb*Bn );
TESTING_MALLOC_CPU( h_C, double, ldc*N );
TESTING_MALLOC_CPU( h_Cmagma, double, ldc*N );
TESTING_MALLOC_CPU( h_Ccublas, double, ldc*N );
TESTING_MALLOC_DEV( d_A, double, ldda*An );
TESTING_MALLOC_DEV( d_B, double, lddb*Bn );
TESTING_MALLOC_DEV( d_C, double, lddc*N );
/* Initialize the matrices */
lapackf77_dlarnv( &ione, ISEED, &sizeA, h_A );
lapackf77_dlarnv( &ione, ISEED, &sizeB, h_B );
lapackf77_dlarnv( &ione, ISEED, &sizeC, h_C );
/* =====================================================================
Performs operation using MAGMABLAS
=================================================================== */
magma_dsetmatrix( Am, An, h_A, lda, d_A, ldda );
magma_dsetmatrix( Bm, Bn, h_B, ldb, d_B, lddb );
magma_dsetmatrix( M, N, h_C, ldc, d_C, lddc );
magma_time = magma_sync_wtime( NULL );
magmablas_dgemm( opts.transA, opts.transB, M, N, K,
alpha, d_A, ldda,
d_B, lddb,
beta, d_C, lddc );
magma_time = magma_sync_wtime( NULL ) - magma_time;
magma_perf = gflops / magma_time;
magma_dgetmatrix( M, N, d_C, lddc, h_Cmagma, ldc );
/* =====================================================================
Performs operation using CUBLAS
=================================================================== */
magma_dsetmatrix( M, N, h_C, ldc, d_C, lddc );
cublas_time = magma_sync_wtime( NULL );
cublasDgemm( handle, cublas_trans_const(opts.transA), cublas_trans_const(opts.transB), M, N, K,
&alpha, d_A, ldda,
d_B, lddb,
&beta, d_C, lddc );
cublas_time = magma_sync_wtime( NULL ) - cublas_time;
cublas_perf = gflops / cublas_time;
magma_dgetmatrix( M, N, d_C, lddc, h_Ccublas, ldc );
/* =====================================================================
Performs operation using CPU BLAS
=================================================================== */
if ( opts.lapack ) {
cpu_time = magma_wtime();
blasf77_dgemm( lapack_trans_const(opts.transA), lapack_trans_const(opts.transB), &M, &N, &K,
&alpha, h_A, &lda,
h_B, &ldb,
&beta, h_C, &ldc );
cpu_time = magma_wtime() - cpu_time;
cpu_perf = gflops / cpu_time;
}
/* =====================================================================
Check the result
=================================================================== */
if ( opts.lapack ) {
// compute relative error for both magma & cublas, relative to lapack,
// |C_magma - C_lapack| / |C_lapack|
Cnorm = lapackf77_dlange( "M", &M, &N, h_C, &ldc, work );
blasf77_daxpy( &sizeC, &c_neg_one, h_C, &ione, h_Cmagma, &ione );
magma_error = lapackf77_dlange( "M", &M, &N, h_Cmagma, &ldc, work ) / Cnorm;
blasf77_daxpy( &sizeC, &c_neg_one, h_C, &ione, h_Ccublas, &ione );
cublas_error = lapackf77_dlange( "M", &M, &N, h_Ccublas, &ldc, work ) / Cnorm;
printf("%5d %5d %5d %7.2f (%7.2f) %7.2f (%7.2f) %7.2f (%7.2f) %8.2e %8.2e %s\n",
(int) M, (int) N, (int) K,
magma_perf, 1000.*magma_time,
cublas_perf, 1000.*cublas_time,
cpu_perf, 1000.*cpu_time,
magma_error, cublas_error,
(magma_error < tol && cublas_error < tol ? "ok" : "failed"));
status += ! (magma_error < tol && cublas_error < tol);
}
else {
// compute relative error for magma, relative to cublas
Cnorm = lapackf77_dlange( "M", &M, &N, h_Ccublas, &ldc, work );
blasf77_daxpy( &sizeC, &c_neg_one, h_Ccublas, &ione, h_Cmagma, &ione );
magma_error = lapackf77_dlange( "M", &M, &N, h_Cmagma, &ldc, work ); // / Cnorm;
printf("%5d %5d %5d %7.2f (%7.2f) %7.2f (%7.2f) --- ( --- ) %8.2e --- %s\n",
(int) M, (int) N, (int) K,
magma_perf, 1000.*magma_time,
cublas_perf, 1000.*cublas_time,
magma_error,
(magma_error < tol ? "ok" : "failed"));
status += ! (magma_error < tol);
}
TESTING_FREE_CPU( h_A );
TESTING_FREE_CPU( h_B );
TESTING_FREE_CPU( h_C );
TESTING_FREE_CPU( h_Cmagma );
TESTING_FREE_CPU( h_Ccublas );
TESTING_FREE_DEV( d_A );
TESTING_FREE_DEV( d_B );
TESTING_FREE_DEV( d_C );
fflush( stdout );
}
if ( opts.niter > 1 ) {
printf( "\n" );
}
}
TESTING_FINALIZE();
return status;
}
/**
Purpose
-------
ZUNMLQ overwrites the general complex M-by-N matrix C with
@verbatim
SIDE = MagmaLeft SIDE = MagmaRight
TRANS = MagmaNoTrans: Q * C C * Q
TRANS = Magma_ConjTrans: Q**H * C C * Q**H
@endverbatim
where Q is a complexunitary matrix defined as the product of k
elementary reflectors
Q = H(k)**H . . . H(2)**H H(1)**H
as returned by ZGELQF. Q is of order M if SIDE = MagmaLeft and of order N
if SIDE = MagmaRight.
Arguments
---------
@param[in]
side magma_side_t
- = MagmaLeft: apply Q or Q**H from the Left;
- = MagmaRight: apply Q or Q**H from the Right.
@param[in]
trans magma_trans_t
- = MagmaNoTrans: No transpose, apply Q;
- = Magma_ConjTrans: Conjugate transpose, apply Q**H.
@param[in]
m INTEGER
The number of rows of the matrix C. M >= 0.
@param[in]
n INTEGER
The number of columns of the matrix C. N >= 0.
@param[in]
k INTEGER
The number of elementary reflectors whose product defines
the matrix Q.
If SIDE = MagmaLeft, M >= K >= 0;
if SIDE = MagmaRight, N >= K >= 0.
@param[in]
A COMPLEX_16 array, dimension
(LDA,M) if SIDE = MagmaLeft,
(LDA,N) if SIDE = MagmaRight.
The i-th row must contain the vector which defines the
elementary reflector H(i), for i = 1,2,...,k, as returned by
ZGELQF in the first k rows of its array argument A.
A is modified by the routine but restored on exit.
@param[in]
lda INTEGER
The leading dimension of the array A. LDA >= max(1,K).
@param[in]
tau COMPLEX_16 array, dimension (K)
TAU(i) must contain the scalar factor of the elementary
reflector H(i), as returned by ZGELQF.
@param[in,out]
C COMPLEX_16 array, dimension (LDC,N)
On entry, the M-by-N matrix C.
On exit, C is overwritten by Q*C or Q**H*C or C*Q**H or C*Q.
@param[in]
ldc INTEGER
The leading dimension of the array C. LDC >= max(1,M).
@param[out]
work (workspace) COMPLEX_16 array, dimension (MAX(1,LWORK))
On exit, if INFO = 0, WORK[0] returns the optimal LWORK.
@param[in]
lwork INTEGER
The dimension of the array WORK.
If SIDE = MagmaLeft, LWORK >= max(1,N);
if SIDE = MagmaRight, LWORK >= max(1,M).
For optimum performance
if SIDE = MagmaLeft, LWORK >= N*NB;
if SIDE = MagmaRight, LWORK >= M*NB,
where NB is the optimal blocksize.
\n
If LWORK = -1, then a workspace query is assumed; the routine
only calculates the optimal size of the WORK array, returns
this value as the first entry of the WORK array, and no error
message related to LWORK is issued by XERBLA.
@param[out]
info INTEGER
- = 0: successful exit
- < 0: if INFO = -i, the i-th argument had an illegal value
@ingroup magma_zgelqf_comp
********************************************************************/
extern "C" magma_int_t
magma_zunmlq(
magma_side_t side, magma_trans_t trans,
magma_int_t m, magma_int_t n, magma_int_t k,
magmaDoubleComplex *A, magma_int_t lda,
magmaDoubleComplex *tau,
magmaDoubleComplex *C, magma_int_t ldc,
magmaDoubleComplex *work, magma_int_t lwork,
magma_int_t *info)
{
#define A(i_,j_) ( A + (i_) + (j_)*lda)
#define dC(i_,j_) (dC + (i_) + (j_)*lddc)
#define dV(i_,j_) (dV + (i_) + (j_)*ib)
#define dT(i_,j_) (dT + (i_) + (j_)*ib)
#define dwork(i_) (dwork + (i_))
magmaDoubleComplex *T, *T2;
magma_int_t i, i1, i2, ib, ic, jc, nb, mi, ni, nq, nq_i, nw, step;
magma_int_t iinfo, ldwork, lwkopt;
magma_int_t left, notran, lquery;
magma_trans_t transt;
*info = 0;
left = (side == MagmaLeft);
notran = (trans == MagmaNoTrans);
lquery = (lwork == -1);
/* NQ is the order of Q and NW is the minimum dimension of WORK */
if (left) {
nq = m;
nw = n;
} else {
nq = n;
nw = m;
}
/* Test the input arguments */
if (! left && side != MagmaRight) {
*info = -1;
} else if (! notran && trans != Magma_ConjTrans) {
*info = -2;
} else if (m < 0) {
*info = -3;
} else if (n < 0) {
*info = -4;
} else if (k < 0 || k > nq) {
*info = -5;
} else if (lda < max(1,k)) {
*info = -7;
} else if (ldc < max(1,m)) {
*info = -10;
} else if (lwork < max(1,nw) && ! lquery) {
*info = -12;
}
if (*info == 0) {
nb = magma_get_zgelqf_nb( min( m, n ));
lwkopt = max(1,nw)*nb;
work[0] = MAGMA_Z_MAKE( lwkopt, 0 );
}
if (*info != 0) {
magma_xerbla( __func__, -(*info) );
return *info;
}
else if (lquery) {
return *info;
}
/* Quick return if possible */
if (m == 0 || n == 0 || k == 0) {
work[0] = MAGMA_Z_ONE;
return *info;
}
ldwork = nw;
if (nb >= k) {
/* Use CPU code */
lapackf77_zunmlq( lapack_side_const(side), lapack_trans_const(trans),
&m, &n, &k, A, &lda, tau, C, &ldc, work, &lwork, &iinfo);
}
else {
/* Use hybrid CPU-GPU code */
/* Allocate work space on the GPU.
* nw*nb for dwork (m or n) by nb
* nq*nb for dV (n or m) by nb
* nb*nb for dT
* lddc*n for dC.
*/
magma_int_t lddc = ((m+31)/32)*32;
magmaDoubleComplex_ptr dwork, dV, dT, dC;
magma_zmalloc( &dwork, (nw + nq + nb)*nb + lddc*n );
if ( dwork == NULL ) {
*info = MAGMA_ERR_DEVICE_ALLOC;
return *info;
}
dV = dwork + nw*nb;
dT = dV + nq*nb;
dC = dT + nb*nb;
/* work space on CPU.
* nb*nb for T
* nb*nb for T2, used to save and restore diagonal block of panel */
magma_zmalloc_cpu( &T, 2*nb*nb );
if ( T == NULL ) {
magma_free( dwork );
*info = MAGMA_ERR_HOST_ALLOC;
return *info;
}
T2 = T + nb*nb;
/* Copy matrix C from the CPU to the GPU */
magma_zsetmatrix( m, n, C, ldc, dC(0,0), lddc );
if ( (left && notran) || (! left && ! notran) ) {
i1 = 0;
i2 = k;
step = nb;
} else {
i1 = ((k - 1) / nb)*nb;
i2 = 0;
step = -nb;
}
// silence "uninitialized" warnings
mi = 0;
ni = 0;
if (left) {
ni = n;
jc = 0;
} else {
mi = m;
ic = 0;
}
if (notran) {
transt = Magma_ConjTrans;
} else {
transt = MagmaNoTrans;
}
for (i = i1; (step < 0 ? i >= i2 : i < i2); i += step) {
ib = min(nb, k - i);
/* Form the triangular factor of the block reflector
H = H(i) H(i + 1) . . . H(i + ib-1) */
nq_i = nq - i;
lapackf77_zlarft("Forward", "Rowwise", &nq_i, &ib,
A(i,i), &lda, &tau[i], T, &ib);
/* 1) set upper triangle of panel in A to identity,
2) copy the panel from A to the GPU, and
3) restore A */
zpanel_to_q( MagmaLower, ib, A(i,i), lda, T2 );
magma_zsetmatrix( ib, nq_i, A(i,i), lda, dV(0,0), ib );
zq_to_panel( MagmaLower, ib, A(i,i), lda, T2 );
if (left) {
/* H or H**H is applied to C(i:m,1:n) */
mi = m - i;
ic = i;
}
else {
/* H or H**H is applied to C(1:m,i:n) */
ni = n - i;
jc = i;
}
/* Apply H or H**H; First copy T to the GPU */
magma_zsetmatrix( ib, ib, T, ib, dT(0,0), ib );
magma_zlarfb_gpu( side, transt, MagmaForward, MagmaRowwise,
mi, ni, ib,
dV(0,0), ib,
dT(0,0), ib,
dC(ic,jc), lddc,
dwork(0), ldwork );
}
magma_zgetmatrix( m, n, dC(0,0), lddc, C, ldc );
magma_free( dwork );
magma_free_cpu( T );
}
work[0] = MAGMA_Z_MAKE( lwkopt, 0 );
return *info;
} /* magma_zunmlq */
/**
Purpose
-------
If VECT = MagmaQ, DORMBR overwrites the general real M-by-N matrix C with
SIDE = MagmaLeft SIDE = MagmaRight
TRANS = MagmaNoTrans: Q*C C*Q
TRANS = MagmaTrans: Q**H*C C*Q**H
If VECT = MagmaP, DORMBR overwrites the general real M-by-N matrix C with
SIDE = MagmaLeft SIDE = MagmaRight
TRANS = MagmaNoTrans: P*C C*P
TRANS = MagmaTrans: P**H*C C*P**H
Here Q and P**H are the unitary matrices determined by DGEBRD when
reducing A real matrix A to bidiagonal form: A = Q*B * P**H. Q
and P**H are defined as products of elementary reflectors H(i) and
G(i) respectively.
Let nq = m if SIDE = MagmaLeft and nq = n if SIDE = MagmaRight. Thus nq is the
order of the unitary matrix Q or P**H that is applied.
If VECT = MagmaQ, A is assumed to have been an NQ-by-K matrix:
if nq >= k, Q = H(1) H(2) . . . H(k);
if nq < k, Q = H(1) H(2) . . . H(nq-1).
If VECT = MagmaP, A is assumed to have been A K-by-NQ matrix:
if k < nq, P = G(1) G(2) . . . G(k);
if k >= nq, P = G(1) G(2) . . . G(nq-1).
Arguments
---------
@param[in]
vect magma_vect_t
- = MagmaQ: apply Q or Q**H;
- = MagmaP: apply P or P**H.
@param[in]
side magma_side_t
- = MagmaLeft: apply Q, Q**H, P or P**H from the Left;
- = MagmaRight: apply Q, Q**H, P or P**H from the Right.
@param[in]
trans magma_trans_t
- = MagmaNoTrans: No transpose, apply Q or P;
- = MagmaTrans: Conjugate transpose, apply Q**H or P**H.
@param[in]
m INTEGER
The number of rows of the matrix C. M >= 0.
@param[in]
n INTEGER
The number of columns of the matrix C. N >= 0.
@param[in]
k INTEGER
If VECT = MagmaQ, the number of columns in the original
matrix reduced by DGEBRD.
If VECT = MagmaP, the number of rows in the original
matrix reduced by DGEBRD.
K >= 0.
@param[in]
A DOUBLE_PRECISION array, dimension
(LDA,min(nq,K)) if VECT = MagmaQ
(LDA,nq) if VECT = MagmaP
The vectors which define the elementary reflectors H(i) and
G(i), whose products determine the matrices Q and P, as
returned by DGEBRD.
@param[in]
lda INTEGER
The leading dimension of the array A.
If VECT = MagmaQ, LDA >= max(1,nq);
if VECT = MagmaP, LDA >= max(1,min(nq,K)).
@param[in]
tau DOUBLE_PRECISION array, dimension (min(nq,K))
TAU(i) must contain the scalar factor of the elementary
reflector H(i) or G(i) which determines Q or P, as returned
by DGEBRD in the array argument TAUQ or TAUP.
@param[in,out]
C DOUBLE_PRECISION array, dimension (LDC,N)
On entry, the M-by-N matrix C.
On exit, C is overwritten by Q*C or Q**H*C or C*Q**H or C*Q
or P*C or P**H*C or C*P or C*P**H.
@param[in]
ldc INTEGER
The leading dimension of the array C. LDC >= max(1,M).
@param[out]
work (workspace) DOUBLE_PRECISION array, dimension (MAX(1,LWORK))
On exit, if INFO = 0, WORK[0] returns the optimal LWORK.
@param[in]
lwork INTEGER
The dimension of the array WORK.
If SIDE = MagmaLeft, LWORK >= max(1,N);
if SIDE = MagmaRight, LWORK >= max(1,M);
if N = 0 or M = 0, LWORK >= 1.
For optimum performance
if SIDE = MagmaLeft, LWORK >= max(1,N*NB);
if SIDE = MagmaRight, LWORK >= max(1,M*NB),
where NB is the optimal blocksize. (NB = 0 if M = 0 or N = 0.)
\n
If LWORK = -1, then a workspace query is assumed; the routine
only calculates the optimal size of the WORK array, returns
this value as the first entry of the WORK array, and no error
message related to LWORK is issued by XERBLA.
@param[out]
info INTEGER
- = 0: successful exit
- < 0: if INFO = -i, the i-th argument had an illegal value
@ingroup magma_dgesvd_comp
********************************************************************/
extern "C" magma_int_t
magma_dormbr(
magma_vect_t vect, magma_side_t side, magma_trans_t trans,
magma_int_t m, magma_int_t n, magma_int_t k,
double *A, magma_int_t lda,
double *tau,
double *C, magma_int_t ldc,
double *work, magma_int_t lwork,
magma_int_t *info)
{
#define A(i,j) (A + (i) + (j)*lda)
#define C(i,j) (C + (i) + (j)*ldc)
magma_int_t i1, i2, nb, mi, ni, nq, nq_1, nw, iinfo, lwkopt;
magma_int_t left, notran, applyq, lquery;
magma_trans_t transt;
*info = 0;
applyq = (vect == MagmaQ);
left = (side == MagmaLeft);
notran = (trans == MagmaNoTrans);
lquery = (lwork == -1);
/* NQ is the order of Q or P and NW is the minimum dimension of WORK */
if (left) {
nq = m;
nw = n;
}
else {
nq = n;
nw = m;
}
if (m == 0 || n == 0) {
nw = 0;
}
/* check arguments */
if (! applyq && vect != MagmaP) {
*info = -1;
}
else if (! left && side != MagmaRight) {
*info = -2;
}
else if (! notran && trans != MagmaTrans) {
*info = -3;
}
else if (m < 0) {
*info = -4;
}
else if (n < 0) {
*info = -5;
}
else if (k < 0) {
*info = -6;
}
else if ( ( applyq && lda < max(1,nq) ) ||
( ! applyq && lda < max(1,min(nq,k)) ) ) {
*info = -8;
}
else if (ldc < max(1,m)) {
*info = -11;
}
else if (lwork < max(1,nw) && ! lquery) {
*info = -13;
}
if (*info == 0) {
if (nw > 0) {
// TODO have get_dormqr_nb and get_dormlq_nb routines? see original LAPACK dormbr.
// TODO make them dependent on m, n, and k?
nb = magma_get_dgebrd_nb( min( m, n ));
lwkopt = max(1, nw*nb);
}
else {
lwkopt = 1;
}
work[0] = MAGMA_D_MAKE( lwkopt, 0 );
}
if (*info != 0) {
magma_xerbla( __func__, -(*info) );
return *info;
}
else if (lquery) {
return *info;
}
/* Quick return if possible */
if (m == 0 || n == 0) {
return *info;
}
if (applyq) {
/* Apply Q */
if (nq >= k) {
/* Q was determined by a call to DGEBRD with nq >= k */
#if VERSION == 1
lapackf77_dormqr( lapack_side_const(side), lapack_trans_const(trans),
&m, &n, &k, A, &lda, tau, C, &ldc, work, &lwork, &iinfo);
#else
magma_dormqr( side, trans,
m, n, k, A, lda, tau, C, ldc, work, lwork, &iinfo);
#endif
}
else if (nq > 1) {
/* Q was determined by a call to DGEBRD with nq < k */
if (left) {
mi = m - 1;
ni = n;
i1 = 1;
i2 = 0;
}
else {
mi = m;
ni = n - 1;
i1 = 0;
i2 = 1;
}
nq_1 = nq - 1;
#if VERSION == 1
lapackf77_dormqr( lapack_side_const(side), lapack_trans_const(trans),
&mi, &ni, &nq_1, A(1,0), &lda, tau, C(i1,i2), &ldc, work, &lwork, &iinfo);
#else
magma_dormqr( side, trans,
mi, ni, nq-1, A(1,0), lda, tau, C(i1,i2), ldc, work, lwork, &iinfo);
#endif
}
}
else {
/* Apply P */
if (notran) {
transt = MagmaTrans;
}
else {
transt = MagmaNoTrans;
}
if (nq > k) {
/* P was determined by a call to DGEBRD with nq > k */
#if VERSION == 1
lapackf77_dormlq( lapack_side_const(side), lapack_trans_const(transt),
&m, &n, &k, A, &lda, tau, C, &ldc, work, &lwork, &iinfo);
#else
magma_dormlq( side, transt,
m, n, k, A, lda, tau, C, ldc, work, lwork, &iinfo);
#endif
}
else if (nq > 1) {
/* P was determined by a call to DGEBRD with nq <= k */
if (left) {
mi = m - 1;
ni = n;
i1 = 1;
i2 = 0;
}
else {
mi = m;
ni = n - 1;
i1 = 0;
i2 = 1;
}
nq_1 = nq - 1;
#if VERSION == 1
lapackf77_dormlq( lapack_side_const(side), lapack_trans_const(transt),
&mi, &ni, &nq_1, A(0,1), &lda, tau, C(i1,i2), &ldc, work, &lwork, &iinfo);
#else
magma_dormlq( side, transt,
mi, ni, nq-1, A(0,1), lda, tau, C(i1,i2), ldc, work, lwork, &iinfo);
#endif
}
}
work[0] = MAGMA_D_MAKE( lwkopt, 0 );
return *info;
} /* magma_dormbr */
/***************************************************************************//**
Purpose
-------
CUNMQL overwrites the general complex M-by-N matrix C with
@verbatim
SIDE = MagmaLeft SIDE = MagmaRight
TRANS = MagmaNoTrans: Q * C C * Q
TRANS = Magma_ConjTrans: Q**H * C C * Q**H
@endverbatim
where Q is a complex unitary matrix defined as the product of k
elementary reflectors
Q = H(k) . . . H(2) H(1)
as returned by CGEQLF.
Q is of order M if SIDE = MagmaLeft
and of order N if SIDE = MagmaRight.
Arguments
---------
@param[in]
side magma_side_t
- = MagmaLeft: apply Q or Q**H from the Left;
- = MagmaRight: apply Q or Q**H from the Right.
@param[in]
trans magma_trans_t
- = MagmaNoTrans: No transpose, apply Q;
- = Magma_ConjTrans: Conjugate transpose, apply Q**H.
@param[in]
m INTEGER
The number of rows of the matrix C. M >= 0.
@param[in]
n INTEGER
The number of columns of the matrix C. N >= 0.
@param[in]
k INTEGER
The number of elementary reflectors whose product defines
the matrix Q.
If SIDE = MagmaLeft, M >= K >= 0;
if SIDE = MagmaRight, N >= K >= 0.
@param[in]
A COMPLEX array, dimension (LDA,K)
The i-th column must contain the vector which defines the
elementary reflector H(i), for i = 1,2,...,k, as returned by
CGEQLF in the last k columns of its array argument A.
A is modified by the routine but restored on exit.
@param[in]
lda INTEGER
The leading dimension of the array A.
If SIDE = MagmaLeft, LDA >= max(1,M);
if SIDE = MagmaRight, LDA >= max(1,N).
@param[in]
tau COMPLEX array, dimension (K)
TAU(i) must contain the scalar factor of the elementary
reflector H(i), as returned by CGEQLF.
@param[in,out]
C COMPLEX array, dimension (LDC,N)
On entry, the M-by-N matrix C.
On exit, C is overwritten by Q*C or Q**H*C or C*Q**H or C*Q.
@param[in]
ldc INTEGER
The leading dimension of the array C. LDC >= max(1,M).
@param[out]
work (workspace) COMPLEX array, dimension (MAX(1,LWORK))
On exit, if INFO = 0, WORK[0] returns the optimal LWORK.
@param[in]
lwork INTEGER
The dimension of the array WORK.
If SIDE = MagmaLeft, LWORK >= max(1,N);
if SIDE = MagmaRight, LWORK >= max(1,M).
For optimum performance
if SIDE = MagmaLeft, LWORK >= N*NB;
if SIDE = MagmaRight, LWORK >= M*NB,
where NB is the optimal blocksize.
\n
If LWORK = -1, then a workspace query is assumed; the routine
only calculates the optimal size of the WORK array, returns
this value as the first entry of the WORK array, and no error
message related to LWORK is issued by XERBLA.
@param[out]
info INTEGER
- = 0: successful exit
- < 0: if INFO = -i, the i-th argument had an illegal value
@ingroup magma_unmql
*******************************************************************************/
extern "C" magma_int_t
magma_cunmql(
magma_side_t side, magma_trans_t trans,
magma_int_t m, magma_int_t n, magma_int_t k,
magmaFloatComplex *A, magma_int_t lda,
magmaFloatComplex *tau,
magmaFloatComplex *C, magma_int_t ldc,
magmaFloatComplex *work, magma_int_t lwork,
magma_int_t *info)
{
#define A(i_,j_) ( A + (i_) + (j_)*lda)
#define dC(i_,j_) (dC + (i_) + (j_)*lddc)
magmaFloatComplex *T, *T2;
magma_int_t i, i1, i2, ib, nb, mi, ni, nq, nq_i, nw, step;
magma_int_t iinfo, ldwork, lwkopt;
*info = 0;
bool left = (side == MagmaLeft);
bool notran = (trans == MagmaNoTrans);
bool lquery = (lwork == -1);
/* NQ is the order of Q and NW is the minimum dimension of WORK */
if (left) {
nq = m;
nw = n;
} else {
nq = n;
nw = m;
}
/* Test the input arguments */
if (! left && side != MagmaRight) {
*info = -1;
} else if (! notran && trans != Magma_ConjTrans) {
*info = -2;
} else if (m < 0) {
*info = -3;
} else if (n < 0) {
*info = -4;
} else if (k < 0 || k > nq) {
*info = -5;
} else if (lda < max(1,nq)) {
*info = -7;
} else if (ldc < max(1,m)) {
*info = -10;
} else if (lwork < max(1,nw) && ! lquery) {
*info = -12;
}
if (*info == 0) {
nb = magma_get_cgelqf_nb( m, n );
lwkopt = max(1,nw)*nb;
work[0] = magma_cmake_lwork( lwkopt );
}
if (*info != 0) {
magma_xerbla( __func__, -(*info) );
return *info;
}
else if (lquery) {
return *info;
}
/* Quick return if possible */
if (m == 0 || n == 0 || k == 0) {
work[0] = MAGMA_C_ONE;
return *info;
}
ldwork = nw;
if ( nb >= k ) {
/* Use CPU code */
lapackf77_cunmql( lapack_side_const(side), lapack_trans_const(trans),
&m, &n, &k, A, &lda, tau, C, &ldc, work, &lwork, &iinfo );
}
else {
/* Use hybrid CPU-GPU code */
/* Allocate work space on the GPU.
* nw*nb for dwork (m or n) by nb
* nq*nb for dV (n or m) by nb
* nb*nb for dT
* lddc*n for dC.
*/
magma_int_t lddc = magma_roundup( m, 32 );
magmaFloatComplex *dwork, *dV, *dT, *dC;
magma_cmalloc( &dwork, (nw + nq + nb)*nb + lddc*n );
if ( dwork == NULL ) {
*info = MAGMA_ERR_DEVICE_ALLOC;
return *info;
}
dV = dwork + nw*nb;
dT = dV + nq*nb;
dC = dT + nb*nb;
/* work space on CPU.
* nb*nb for T
* nb*nb for T2, used to save and restore diagonal block of panel */
magma_cmalloc_pinned( &T, 2*nb*nb );
if ( T == NULL ) {
magma_free( dwork );
*info = MAGMA_ERR_HOST_ALLOC;
return *info;
}
T2 = T + nb*nb;
magma_queue_t queue;
magma_device_t cdev;
magma_getdevice( &cdev );
magma_queue_create( cdev, &queue );
/* Copy matrix C from the CPU to the GPU */
magma_csetmatrix( m, n, C, ldc, dC, lddc, queue );
if ( (left && notran) || (! left && ! notran) ) {
i1 = 0;
i2 = k;
step = nb;
} else {
i1 = ((k - 1) / nb) * nb;
i2 = 0;
step = -nb;
}
// silence "uninitialized" warnings
mi = 0;
ni = 0;
if (left) {
ni = n;
} else {
mi = m;
}
for (i = i1; (step < 0 ? i >= i2 : i < i2); i += step) {
ib = min(nb, k - i);
/* Form the triangular factor of the block reflector
H = H(i+ib-1) . . . H(i+1) H(i) */
nq_i = nq - k + i + ib;
lapackf77_clarft("Backward", "Columnwise", &nq_i, &ib,
A(0,i), &lda, &tau[i], T, &ib);
/* 1) set lower triangle of panel in A to identity,
2) copy the panel from A to the GPU, and
3) restore A */
magma_cpanel_to_q( MagmaLower, ib, A(nq_i-ib,i), lda, T2 );
magma_csetmatrix( nq_i, ib, A(0,i), lda, dV, nq_i, queue );
magma_cq_to_panel( MagmaLower, ib, A(nq_i-ib,i), lda, T2 );
if (left) {
/* H or H**H is applied to C(1:m-k+i+ib-1,1:n) */
mi = m - k + i + ib;
}
else {
/* H or H**H is applied to C(1:m,1:n-k+i+ib-1) */
ni = n - k + i + ib;
}
/* Apply H or H**H; First copy T to the GPU */
magma_csetmatrix( ib, ib, T, ib, dT, ib, queue );
magma_clarfb_gpu( side, trans, MagmaBackward, MagmaColumnwise,
mi, ni, ib,
dV, nq_i,
dT, ib,
dC, lddc,
dwork, ldwork, queue );
}
magma_cgetmatrix( m, n, dC, lddc, C, ldc, queue );
magma_queue_destroy( queue );
magma_free( dwork );
magma_free_pinned( T );
}
work[0] = magma_cmake_lwork( lwkopt );
return *info;
} /* magma_cunmql */
/***************************************************************************//**
Purpose
-------
DORMQR overwrites the general real M-by-N matrix C with
@verbatim
SIDE = MagmaLeft SIDE = MagmaRight
TRANS = MagmaNoTrans: Q * C C * Q
TRANS = MagmaTrans: Q**H * C C * Q**H
@endverbatim
where Q is a real orthogonal matrix defined as the product of k
elementary reflectors
Q = H(1) H(2) . . . H(k)
as returned by DGEQRF. Q is of order M if SIDE = MagmaLeft and of order N
if SIDE = MagmaRight.
Arguments
---------
@param[in]
ngpu INTEGER
Number of GPUs to use. ngpu > 0.
@param[in]
side magma_side_t
- = MagmaLeft: apply Q or Q**H from the Left;
- = MagmaRight: apply Q or Q**H from the Right.
@param[in]
trans magma_trans_t
- = MagmaNoTrans: No transpose, apply Q;
- = MagmaTrans: Conjugate transpose, apply Q**H.
@param[in]
m INTEGER
The number of rows of the matrix C. M >= 0.
@param[in]
n INTEGER
The number of columns of the matrix C. N >= 0.
@param[in]
k INTEGER
The number of elementary reflectors whose product defines
the matrix Q.
If SIDE = MagmaLeft, M >= K >= 0;
if SIDE = MagmaRight, N >= K >= 0.
@param[in]
A DOUBLE PRECISION array, dimension (LDA,K)
The i-th column must contain the vector which defines the
elementary reflector H(i), for i = 1,2,...,k, as returned by
DGEQRF in the first k columns of its array argument A.
@param[in]
lda INTEGER
The leading dimension of the array A.
If SIDE = MagmaLeft, LDA >= max(1,M);
if SIDE = MagmaRight, LDA >= max(1,N).
@param[in]
tau DOUBLE PRECISION array, dimension (K)
TAU(i) must contain the scalar factor of the elementary
reflector H(i), as returned by DGEQRF.
@param[in,out]
C DOUBLE PRECISION array, dimension (LDC,N)
On entry, the M-by-N matrix C.
On exit, C is overwritten by Q*C or Q**H*C or C*Q**H or C*Q.
@param[in]
ldc INTEGER
The leading dimension of the array C. LDC >= max(1,M).
@param[out]
work (workspace) DOUBLE PRECISION array, dimension (MAX(1,LWORK))
On exit, if INFO = 0, WORK[0] returns the optimal LWORK.
@param[in]
lwork INTEGER
The dimension of the array WORK.
If SIDE = MagmaLeft, LWORK >= max(1,N);
if SIDE = MagmaRight, LWORK >= max(1,M).
For optimum performance LWORK >= N*NB if SIDE = MagmaLeft, and
LWORK >= M*NB if SIDE = MagmaRight, where NB is the optimal
blocksize.
\n
If LWORK = -1, then a workspace query is assumed; the routine
only calculates the optimal size of the WORK array, returns
this value as the first entry of the WORK array, and no error
message related to LWORK is issued by XERBLA.
@param[out]
info INTEGER
- = 0: successful exit
- < 0: if INFO = -i, the i-th argument had an illegal value
@ingroup magma_unmqr
*******************************************************************************/
extern "C" magma_int_t
magma_dormqr_m(
magma_int_t ngpu,
magma_side_t side, magma_trans_t trans,
magma_int_t m, magma_int_t n, magma_int_t k,
double *A, magma_int_t lda,
double *tau,
double *C, magma_int_t ldc,
double *work, magma_int_t lwork,
magma_int_t *info)
{
#define A(i, j) (A + (j)*lda + (i))
#define C(i, j) (C + (j)*ldc + (i))
#define dC(gpui, i, j) (dw[gpui] + (j)*lddc + (i))
#define dA_c(gpui, ind, i, j) (dw[gpui] + maxnlocal*lddc + (ind)*lddar*lddac + (i) + (j)*lddac)
#define dA_r(gpui, ind, i, j) (dw[gpui] + maxnlocal*lddc + (ind)*lddar*lddac + (i) + (j)*lddar)
#define dT(gpui, ind) (dw[gpui] + maxnlocal*lddc + 2*lddac*lddar + (ind)*((nb+1)*nb))
#define dwork(gpui, ind) (dw[gpui] + maxnlocal*lddc + 2*lddac*lddar + 2*((nb+1)*nb) + (ind)*(lddwork*nb))
/* Constants */
double c_zero = MAGMA_D_ZERO;
double c_one = MAGMA_D_ONE;
/* Local variables */
const char* side_ = lapack_side_const( side );
const char* trans_ = lapack_trans_const( trans );
magma_int_t nb = 128;
double *T = NULL;
magmaDouble_ptr dw[MagmaMaxGPUs] = { NULL };
magma_queue_t queues[MagmaMaxGPUs][2] = {{ NULL }};
magma_event_t events[MagmaMaxGPUs][2] = {{ NULL }};
magma_int_t ind_c;
magma_device_t dev;
magma_device_t orig_dev;
magma_getdevice( &orig_dev );
*info = 0;
magma_int_t left = (side == MagmaLeft);
magma_int_t notran = (trans == MagmaNoTrans);
magma_int_t lquery = (lwork == -1);
/* NQ is the order of Q and NW is the minimum dimension of WORK */
magma_int_t nq, nw;
if (left) {
nq = m;
nw = n;
} else {
nq = n;
nw = m;
}
if (! left && side != MagmaRight) {
*info = -1;
} else if (! notran && trans != MagmaTrans) {
*info = -2;
} else if (m < 0) {
*info = -3;
} else if (n < 0) {
*info = -4;
} else if (k < 0 || k > nq) {
*info = -5;
} else if (lda < max(1,nq)) {
*info = -7;
} else if (ldc < max(1,m)) {
*info = -10;
} else if (lwork < max(1,nw) && ! lquery) {
*info = -12;
}
magma_int_t lwkopt = max(1,nw) * nb;
if (*info == 0) {
work[0] = magma_dmake_lwork( lwkopt );
}
if (*info != 0) {
magma_xerbla( __func__, -(*info) );
return *info;
}
else if (lquery) {
return *info;
}
/* Quick return if possible */
if (m == 0 || n == 0 || k == 0) {
work[0] = c_one;
return *info;
}
if (nb >= k) {
/* Use CPU code */
lapackf77_dormqr(side_, trans_, &m, &n, &k, A, &lda, tau,
C, &ldc, work, &lwork, info);
return *info;
}
magma_int_t lddc = magma_roundup( m, 64 ); // TODO why 64 instead of 32 ?
magma_int_t lddac = nq;
magma_int_t lddar = nb;
magma_int_t lddwork = nw;
magma_int_t nlocal[ MagmaMaxGPUs ] = { 0 };
magma_int_t nb_l=256;
magma_int_t nbl = magma_ceildiv( n, nb_l ); // number of blocks
magma_int_t maxnlocal = magma_ceildiv( nbl, ngpu )*nb_l;
ngpu = min( ngpu, magma_ceildiv( n, nb_l )); // Don't use GPU that will not have data.
magma_int_t ldw = maxnlocal*lddc // dC
+ 2*lddac*lddar // 2*dA
+ 2*(nb + 1 + lddwork)*nb; // 2*(dT and dwork)
if (MAGMA_SUCCESS != magma_dmalloc_pinned( &T, nb*nb )) {
*info = MAGMA_ERR_HOST_ALLOC;
goto cleanup;
}
for (dev = 0; dev < ngpu; ++dev) {
magma_setdevice( dev );
if (MAGMA_SUCCESS != magma_dmalloc( &dw[dev], ldw )) {
*info = MAGMA_ERR_DEVICE_ALLOC;
goto cleanup;
}
magma_queue_create( dev, &queues[dev][0] );
magma_queue_create( dev, &queues[dev][1] );
magma_event_create( &events[dev][0] );
magma_event_create( &events[dev][1] );
}
/* Use hybrid CPU-MGPU code */
if (left) {
//copy C to mgpus
for (magma_int_t i = 0; i < nbl; ++i) {
dev = i % ngpu;
magma_setdevice( dev );
magma_int_t kb = min(nb_l, n-i*nb_l);
magma_dsetmatrix_async( m, kb,
C(0, i*nb_l), ldc,
dC(dev, 0, i/ngpu*nb_l), lddc, queues[dev][0] );
nlocal[dev] += kb;
}
magma_int_t i1, i2, i3;
if ( !notran ) {
i1 = 0;
i2 = k;
i3 = nb;
} else {
i1 = (k - 1) / nb * nb;
i2 = 0;
i3 = -nb;
}
ind_c = 0;
for (magma_int_t i = i1; (i3 < 0 ? i >= i2 : i < i2); i += i3) {
// start the copy of A panel
magma_int_t kb = min(nb, k - i);
for (dev = 0; dev < ngpu; ++dev) {
magma_setdevice( dev );
magma_event_sync( events[dev][ind_c] ); // check if the new data can be copied
magma_dsetmatrix_async(nq-i, kb,
A(i, i), lda,
dA_c(dev, ind_c, i, 0), lddac, queues[dev][0] );
// set upper triangular part of dA to identity
magmablas_dlaset_band( MagmaUpper, kb, kb, kb, c_zero, c_one, dA_c(dev, ind_c, i, 0), lddac, queues[dev][0] );
}
/* Form the triangular factor of the block reflector
H = H(i) H(i+1) . . . H(i+ib-1) */
magma_int_t nqi = nq - i;
lapackf77_dlarft("F", "C", &nqi, &kb, A(i, i), &lda,
&tau[i], T, &kb);
/* H or H' is applied to C(1:m,i:n) */
/* Apply H or H'; First copy T to the GPU */
for (dev = 0; dev < ngpu; ++dev) {
magma_setdevice( dev );
magma_dsetmatrix_async(kb, kb,
T, kb,
dT(dev, ind_c), kb, queues[dev][0] );
}
for (dev = 0; dev < ngpu; ++dev) {
magma_setdevice( dev );
magma_queue_sync( queues[dev][0] ); // check if the data was copied
magma_dlarfb_gpu( side, trans, MagmaForward, MagmaColumnwise,
m-i, nlocal[dev], kb,
dA_c(dev, ind_c, i, 0), lddac, dT(dev, ind_c), kb,
dC(dev, i, 0), lddc,
dwork(dev, ind_c), lddwork, queues[dev][1] );
magma_event_record(events[dev][ind_c], queues[dev][1] );
}
ind_c = (ind_c+1)%2;
}
for (dev = 0; dev < ngpu; ++dev) {
magma_setdevice( dev );
magma_queue_sync( queues[dev][1] );
}
//copy C from mgpus
for (magma_int_t i = 0; i < nbl; ++i) {
dev = i % ngpu;
magma_setdevice( dev );
magma_int_t kb = min(nb_l, n-i*nb_l);
magma_dgetmatrix( m, kb,
dC(dev, 0, i/ngpu*nb_l), lddc,
C(0, i*nb_l), ldc, queues[dev][1] );
// magma_dgetmatrix_async( m, kb,
// dC(dev, 0, i/ngpu*nb_l), lddc,
// C(0, i*nb_l), ldc, queues[dev][0] );
}
} else {
*info = MAGMA_ERR_NOT_IMPLEMENTED;
magma_xerbla( __func__, -(*info) );
goto cleanup;
/*
if ( notran ) {
i1 = 0;
i2 = k;
i3 = nb;
} else {
i1 = (k - 1) / nb * nb;
i2 = 0;
i3 = -nb;
}
mi = m;
ic = 0;
for (i = i1; (i3 < 0 ? i >= i2 : i < i2); i += i3) {
ib = min(nb, k - i);
// Form the triangular factor of the block reflector
// H = H(i) H(i+1) . . . H(i+ib-1)
i__4 = nq - i;
lapackf77_dlarft("F", "C", &i__4, &ib, A(i, i), &lda,
&tau[i], T, &ib);
// 1) copy the panel from A to the GPU, and
// 2) set upper triangular part of dA to identity
magma_dsetmatrix( i__4, ib, A(i, i), lda, dA(i, 0), ldda, queues[dev][1] );
magmablas_dlaset_band( MagmaUpper, ib, ib, ib, c_zero, c_one, dA(i, 0), ldda, queues[dev][1] );
// H or H' is applied to C(1:m,i:n)
ni = n - i;
jc = i;
// Apply H or H'; First copy T to the GPU
magma_dsetmatrix( ib, ib, T, ib, dT, ib, queues[dev][1] );
magma_dlarfb_gpu( side, trans, MagmaForward, MagmaColumnwise,
mi, ni, ib,
dA(i, 0), ldda, dT, ib,
dC(ic, jc), lddc,
dwork, lddwork, queues[dev][1] );
}
*/
}
cleanup:
work[0] = magma_dmake_lwork( lwkopt );
for (dev = 0; dev < ngpu; ++dev) {
magma_setdevice( dev );
magma_event_destroy( events[dev][0] );
magma_event_destroy( events[dev][1] );
magma_queue_destroy( queues[dev][0] );
magma_queue_destroy( queues[dev][1] );
magma_free( dw[dev] );
}
magma_setdevice( orig_dev );
magma_free_pinned( T );
return *info;
} /* magma_dormqr */
/**
Purpose
-------
SORMQR overwrites the general real M-by-N matrix C with
@verbatim
SIDE = MagmaLeft SIDE = MagmaRight
TRANS = MagmaNoTrans: Q * C C * Q
TRANS = MagmaTrans: Q**H * C C * Q**H
@endverbatim
where Q is a real unitary matrix defined as the product of k
elementary reflectors
Q = H(1) H(2) . . . H(k)
as returned by SGEQRF. Q is of order M if SIDE = MagmaLeft and of order N
if SIDE = MagmaRight.
Arguments
---------
@param[in]
nrgpu INTEGER
Number of GPUs to use.
@param[in]
side magma_side_t
- = MagmaLeft: apply Q or Q**H from the Left;
- = MagmaRight: apply Q or Q**H from the Right.
@param[in]
trans magma_trans_t
- = MagmaNoTrans: No transpose, apply Q;
- = MagmaTrans: Conjugate transpose, apply Q**H.
@param[in]
m INTEGER
The number of rows of the matrix C. M >= 0.
@param[in]
n INTEGER
The number of columns of the matrix C. N >= 0.
@param[in]
k INTEGER
The number of elementary reflectors whose product defines
the matrix Q.
If SIDE = MagmaLeft, M >= K >= 0;
if SIDE = MagmaRight, N >= K >= 0.
@param[in]
A REAL array, dimension (LDA,K)
The i-th column must contain the vector which defines the
elementary reflector H(i), for i = 1,2,...,k, as returned by
SGEQRF in the first k columns of its array argument A.
@param[in]
lda INTEGER
The leading dimension of the array A.
If SIDE = MagmaLeft, LDA >= max(1,M);
if SIDE = MagmaRight, LDA >= max(1,N).
@param[in]
tau REAL array, dimension (K)
TAU(i) must contain the scalar factor of the elementary
reflector H(i), as returned by SGEQRF.
@param[in,out]
C REAL array, dimension (LDC,N)
On entry, the M-by-N matrix C.
On exit, C is overwritten by Q*C or Q**H*C or C*Q**H or C*Q.
@param[in]
ldc INTEGER
The leading dimension of the array C. LDC >= max(1,M).
@param[out]
work (workspace) REAL array, dimension (MAX(1,LWORK))
On exit, if INFO = 0, WORK[0] returns the optimal LWORK.
@param[in]
lwork INTEGER
The dimension of the array WORK.
If SIDE = MagmaLeft, LWORK >= max(1,N);
if SIDE = MagmaRight, LWORK >= max(1,M).
For optimum performance LWORK >= N*NB if SIDE = MagmaLeft, and
LWORK >= M*NB if SIDE = MagmaRight, where NB is the optimal
blocksize.
\n
If LWORK = -1, then a workspace query is assumed; the routine
only calculates the optimal size of the WORK array, returns
this value as the first entry of the WORK array, and no error
message related to LWORK is issued by XERBLA.
@param[out]
info INTEGER
- = 0: successful exit
- < 0: if INFO = -i, the i-th argument had an illegal value
@ingroup magma_sgeqrf_comp
********************************************************************/
extern "C" magma_int_t
magma_sormqr_m(magma_int_t nrgpu, magma_side_t side, magma_trans_t trans,
magma_int_t m, magma_int_t n, magma_int_t k,
float *A, magma_int_t lda,
float *tau,
float *C, magma_int_t ldc,
float *work, magma_int_t lwork,
magma_int_t *info)
{
#define A(i, j) (A + (j)*lda + (i))
#define C(i, j) (C + (j)*ldc + (i))
#define dC(gpui, i, j) (dw[gpui] + (j)*lddc + (i))
#define dA_c(gpui, ind, i, j) (dw[gpui] + maxnlocal*lddc + (ind)*lddar*lddac + (i) + (j)*lddac)
#define dA_r(gpui, ind, i, j) (dw[gpui] + maxnlocal*lddc + (ind)*lddar*lddac + (i) + (j)*lddar)
#define dT(gpui, ind) (dw[gpui] + maxnlocal*lddc + 2*lddac*lddar + (ind)*((nb+1)*nb))
#define dwork(gpui, ind) (dw[gpui] + maxnlocal*lddc + 2*lddac*lddar + 2*((nb+1)*nb) + (ind)*(lddwork*nb))
float c_zero = MAGMA_S_ZERO;
float c_one = MAGMA_S_ONE;
const char* side_ = lapack_side_const( side );
const char* trans_ = lapack_trans_const( trans );
// TODO fix memory leak (alloc after argument checks)
magma_int_t nb = 128;
float *T;
magma_smalloc_pinned(&T, nb*nb);
//printf("calling sormqr_m with nb=%d\n", (int) nb);
float* dw[MagmaMaxGPUs];
magma_queue_t stream [MagmaMaxGPUs][2];
magma_event_t event [MagmaMaxGPUs][2];
magma_int_t ind_c;
magma_device_t igpu;
magma_device_t orig_dev;
magma_getdevice( &orig_dev );
magma_queue_t orig_stream;
magmablasGetKernelStream( &orig_stream );
*info = 0;
magma_int_t left = (side == MagmaLeft);
magma_int_t notran = (trans == MagmaNoTrans);
magma_int_t lquery = (lwork == -1);
/* NQ is the order of Q and NW is the minimum dimension of WORK */
magma_int_t nq, nw;
if (left) {
nq = m;
nw = n;
} else {
nq = n;
nw = m;
}
if (! left && side != MagmaRight) {
*info = -1;
} else if (! notran && trans != MagmaTrans) {
*info = -2;
} else if (m < 0) {
*info = -3;
} else if (n < 0) {
*info = -4;
} else if (k < 0 || k > nq) {
*info = -5;
} else if (lda < max(1,nq)) {
*info = -7;
} else if (ldc < max(1,m)) {
*info = -10;
} else if (lwork < max(1,nw) && ! lquery) {
*info = -12;
}
magma_int_t lwkopt = max(1,nw) * nb;
if (*info == 0) {
work[0] = MAGMA_S_MAKE( lwkopt, 0 );
}
if (*info != 0) {
magma_xerbla( __func__, -(*info) );
return *info;
}
else if (lquery) {
return *info;
}
/* Quick return if possible */
if (m == 0 || n == 0 || k == 0) {
work[0] = c_one;
return *info;
}
if (nb >= k) {
/* Use CPU code */
lapackf77_sormqr(side_, trans_, &m, &n, &k, A, &lda, tau,
C, &ldc, work, &lwork, info);
return *info;
}
magma_int_t lddc = (m+63)/64*64;
magma_int_t lddac = nq;
magma_int_t lddar = nb;
magma_int_t lddwork = nw;
magma_int_t nlocal[ MagmaMaxGPUs ] = { 0 };
magma_int_t nb_l=256;
magma_int_t nbl = (n-1)/nb_l+1; // number of blocks
magma_int_t maxnlocal = (nbl+nrgpu-1)/nrgpu*nb_l;
nrgpu = min(nrgpu, (n+nb_l-1)/nb_l); // Don't use GPU that will not have data.
magma_int_t ldw = maxnlocal*lddc // dC
+ 2*lddac*lddar // 2*dA
+ 2*(nb + 1 + lddwork)*nb; // 2*(dT and dwork)
for (igpu = 0; igpu < nrgpu; ++igpu) {
magma_setdevice(igpu);
if (MAGMA_SUCCESS != magma_smalloc( &dw[igpu], ldw )) {
*info = MAGMA_ERR_DEVICE_ALLOC;
magma_xerbla( __func__, -(*info) );
return *info;
}
magma_queue_create( &stream[igpu][0] );
magma_queue_create( &stream[igpu][1] );
magma_event_create( &event[igpu][0] );
magma_event_create( &event[igpu][1] );
}
/* Use hybrid CPU-MGPU code */
if (left) {
//copy C to mgpus
for (magma_int_t i = 0; i < nbl; ++i) {
magma_int_t igpu = i%nrgpu;
magma_setdevice(igpu);
magma_int_t kb = min(nb_l, n-i*nb_l);
magma_ssetmatrix_async( m, kb,
C(0, i*nb_l), ldc,
dC(igpu, 0, i/nrgpu*nb_l), lddc, stream[igpu][0] );
nlocal[igpu] += kb;
}
magma_int_t i1, i2, i3;
if ( !notran ) {
i1 = 0;
i2 = k;
i3 = nb;
} else {
i1 = (k - 1) / nb * nb;
i2 = 0;
i3 = -nb;
}
ind_c = 0;
for (magma_int_t i = i1; (i3 < 0 ? i >= i2 : i < i2); i += i3) {
// start the copy of A panel
magma_int_t kb = min(nb, k - i);
for (igpu = 0; igpu < nrgpu; ++igpu) {
magma_setdevice(igpu);
magma_event_sync(event[igpu][ind_c]); // check if the new data can be copied
magma_ssetmatrix_async(nq-i, kb,
A(i, i), lda,
dA_c(igpu, ind_c, i, 0), lddac, stream[igpu][0] );
// set upper triangular part of dA to identity
magmablas_slaset_band_q( MagmaUpper, kb, kb, kb, c_zero, c_one, dA_c(igpu, ind_c, i, 0), lddac, stream[igpu][0] );
}
/* Form the triangular factor of the block reflector
H = H(i) H(i+1) . . . H(i+ib-1) */
magma_int_t nqi = nq - i;
lapackf77_slarft("F", "C", &nqi, &kb, A(i, i), &lda,
&tau[i], T, &kb);
/* H or H' is applied to C(1:m,i:n) */
/* Apply H or H'; First copy T to the GPU */
for (igpu = 0; igpu < nrgpu; ++igpu) {
magma_setdevice(igpu);
magma_ssetmatrix_async(kb, kb,
T, kb,
dT(igpu, ind_c), kb, stream[igpu][0] );
}
for (igpu = 0; igpu < nrgpu; ++igpu) {
magma_setdevice(igpu);
magma_queue_sync( stream[igpu][0] ); // check if the data was copied
magmablasSetKernelStream(stream[igpu][1]);
magma_slarfb_gpu( side, trans, MagmaForward, MagmaColumnwise,
m-i, nlocal[igpu], kb,
dA_c(igpu, ind_c, i, 0), lddac, dT(igpu, ind_c), kb,
dC(igpu, i, 0), lddc,
dwork(igpu, ind_c), lddwork);
magma_event_record(event[igpu][ind_c], stream[igpu][1] );
}
ind_c = (ind_c+1)%2;
}
for (igpu = 0; igpu < nrgpu; ++igpu) {
magma_setdevice(igpu);
magma_queue_sync( stream[igpu][1] );
}
//copy C from mgpus
for (magma_int_t i = 0; i < nbl; ++i) {
magma_int_t igpu = i%nrgpu;
magma_setdevice(igpu);
magma_int_t kb = min(nb_l, n-i*nb_l);
magma_sgetmatrix( m, kb,
dC(igpu, 0, i/nrgpu*nb_l), lddc,
C(0, i*nb_l), ldc );
// magma_sgetmatrix_async( m, kb,
// dC(igpu, 0, i/nrgpu*nb_l), lddc,
// C(0, i*nb_l), ldc, stream[igpu][0] );
}
} else {
// TODO fix memory leak T, dw, event, stream
fprintf(stderr, "The case (side == right) is not implemented\n");
*info = MAGMA_ERR_NOT_IMPLEMENTED;
magma_xerbla( __func__, -(*info) );
return *info;
/*
if ( notran ) {
i1 = 0;
i2 = k;
i3 = nb;
} else {
i1 = (k - 1) / nb * nb;
i2 = 0;
i3 = -nb;
}
mi = m;
ic = 0;
for (i = i1; (i3 < 0 ? i >= i2 : i < i2); i += i3) {
ib = min(nb, k - i);
// Form the triangular factor of the block reflector
// H = H(i) H(i+1) . . . H(i+ib-1)
i__4 = nq - i;
lapackf77_slarft("F", "C", &i__4, &ib, A(i, i), &lda,
&tau[i], T, &ib);
// 1) copy the panel from A to the GPU, and
// 2) set upper triangular part of dA to identity
magma_ssetmatrix( i__4, ib, A(i, i), lda, dA(i, 0), ldda );
magmablas_slaset_band( MagmaUpper, ib, ib, ib, c_zero, c_one, dA(i, 0), ldda );
// H or H' is applied to C(1:m,i:n)
ni = n - i;
jc = i;
// Apply H or H'; First copy T to the GPU
magma_ssetmatrix( ib, ib, T, ib, dT, ib );
magma_slarfb_gpu( side, trans, MagmaForward, MagmaColumnwise,
mi, ni, ib,
dA(i, 0), ldda, dT, ib,
dC(ic, jc), lddc,
dwork, lddwork);
}
*/
}
work[0] = MAGMA_S_MAKE( lwkopt, 0 );
for (igpu = 0; igpu < nrgpu; ++igpu) {
magma_setdevice(igpu);
magma_event_destroy( event[igpu][0] );
magma_event_destroy( event[igpu][1] );
magma_queue_destroy( stream[igpu][0] );
magma_queue_destroy( stream[igpu][1] );
magma_free( dw[igpu] );
}
magma_setdevice( orig_dev );
magmablasSetKernelStream( orig_stream );
return *info;
} /* magma_sormqr */
/* ////////////////////////////////////////////////////////////////////////////
-- Testing ctrsm
*/
int main( int argc, char** argv)
{
TESTING_INIT();
real_Double_t gflops, magma_perf=0, magma_time=0, cublas_perf, cublas_time, cpu_perf=0, cpu_time=0;
float magma_error=0, cublas_error, lapack_error, work[1];
magma_int_t M, N, info;
magma_int_t Ak;
magma_int_t sizeA, sizeB;
magma_int_t lda, ldb, ldda, lddb;
magma_int_t ione = 1;
magma_int_t ISEED[4] = {0,0,0,1};
magma_int_t *ipiv;
magmaFloatComplex *h_A, *h_B, *h_Bcublas, *h_Bmagma, *h_Blapack, *h_X;
magmaFloatComplex_ptr d_A, d_B;
magmaFloatComplex c_neg_one = MAGMA_C_NEG_ONE;
magmaFloatComplex c_one = MAGMA_C_ONE;
magmaFloatComplex alpha = MAGMA_C_MAKE( 0.29, -0.86 );
magma_int_t status = 0;
magma_opts opts;
opts.parse_opts( argc, argv );
float tol = opts.tolerance * lapackf77_slamch("E");
// pass ngpu = -1 to test multi-GPU code using 1 gpu
magma_int_t abs_ngpu = abs( opts.ngpu );
printf("%% side = %s, uplo = %s, transA = %s, diag = %s, ngpu = %d\n",
lapack_side_const(opts.side), lapack_uplo_const(opts.uplo),
lapack_trans_const(opts.transA), lapack_diag_const(opts.diag), int(abs_ngpu) );
printf("%% M N MAGMA Gflop/s (ms) CUBLAS Gflop/s (ms) CPU Gflop/s (ms) MAGMA CUBLAS LAPACK error\n");
printf("%%============================================================================================================\n");
for( int itest = 0; itest < opts.ntest; ++itest ) {
for( int iter = 0; iter < opts.niter; ++iter ) {
M = opts.msize[itest];
N = opts.nsize[itest];
gflops = FLOPS_CTRSM(opts.side, M, N) / 1e9;
if ( opts.side == MagmaLeft ) {
lda = M;
Ak = M;
} else {
lda = N;
Ak = N;
}
ldb = M;
ldda = magma_roundup( lda, opts.align ); // multiple of 32 by default
lddb = magma_roundup( ldb, opts.align ); // multiple of 32 by default
sizeA = lda*Ak;
sizeB = ldb*N;
TESTING_MALLOC_CPU( h_A, magmaFloatComplex, lda*Ak );
TESTING_MALLOC_CPU( h_B, magmaFloatComplex, ldb*N );
TESTING_MALLOC_CPU( h_X, magmaFloatComplex, ldb*N );
TESTING_MALLOC_CPU( h_Blapack, magmaFloatComplex, ldb*N );
TESTING_MALLOC_CPU( h_Bcublas, magmaFloatComplex, ldb*N );
TESTING_MALLOC_CPU( h_Bmagma, magmaFloatComplex, ldb*N );
TESTING_MALLOC_CPU( ipiv, magma_int_t, Ak );
TESTING_MALLOC_DEV( d_A, magmaFloatComplex, ldda*Ak );
TESTING_MALLOC_DEV( d_B, magmaFloatComplex, lddb*N );
/* Initialize the matrices */
/* Factor A into LU to get well-conditioned triangular matrix.
* Copy L to U, since L seems okay when used with non-unit diagonal
* (i.e., from U), while U fails when used with unit diagonal. */
lapackf77_clarnv( &ione, ISEED, &sizeA, h_A );
lapackf77_cgetrf( &Ak, &Ak, h_A, &lda, ipiv, &info );
for( int j = 0; j < Ak; ++j ) {
for( int i = 0; i < j; ++i ) {
*h_A(i,j) = *h_A(j,i);
}
}
lapackf77_clarnv( &ione, ISEED, &sizeB, h_B );
memcpy( h_Blapack, h_B, sizeB*sizeof(magmaFloatComplex) );
magma_csetmatrix( Ak, Ak, h_A, lda, d_A, ldda, opts.queue );
/* =====================================================================
Performs operation using MAGMABLAS
=================================================================== */
#if defined(HAVE_CUBLAS)
magma_csetmatrix( M, N, h_B, ldb, d_B, lddb, opts.queue );
magma_time = magma_sync_wtime( opts.queue );
if (opts.ngpu == 1) {
magmablas_ctrsm( opts.side, opts.uplo, opts.transA, opts.diag,
M, N,
alpha, d_A, ldda,
d_B, lddb, opts.queue );
}
else {
magma_ctrsm_m( abs_ngpu, opts.side, opts.uplo, opts.transA, opts.diag,
M, N,
alpha, d_A, ldda,
d_B, lddb );
}
magma_time = magma_sync_wtime( opts.queue ) - magma_time;
magma_perf = gflops / magma_time;
magma_cgetmatrix( M, N, d_B, lddb, h_Bmagma, ldb, opts.queue );
#endif
/* =====================================================================
Performs operation using CUBLAS
=================================================================== */
magma_csetmatrix( M, N, h_B, ldb, d_B, lddb, opts.queue );
cublas_time = magma_sync_wtime( opts.queue );
#if defined(HAVE_CUBLAS)
// opts.handle also uses opts.queue
cublasCtrsm( opts.handle,
cublas_side_const(opts.side), cublas_uplo_const(opts.uplo),
cublas_trans_const(opts.transA), cublas_diag_const(opts.diag),
M, N,
&alpha, d_A, ldda,
d_B, lddb );
#elif defined(HAVE_clBLAS)
clblasCtrsm( clblasColumnMajor,
clblas_side_const(opts.side), clblas_uplo_const(opts.uplo),
clblas_trans_const(opts.transA), clblas_diag_const(opts.diag),
M, N,
alpha, d_A, 0, ldda,
d_B, 0, lddb,
1, &opts.queue, 0, NULL, NULL );
#endif
cublas_time = magma_sync_wtime( opts.queue ) - cublas_time;
cublas_perf = gflops / cublas_time;
magma_cgetmatrix( M, N, d_B, lddb, h_Bcublas, ldb, opts.queue );
/* =====================================================================
Performs operation using CPU BLAS
=================================================================== */
if ( opts.lapack ) {
cpu_time = magma_wtime();
blasf77_ctrsm( lapack_side_const(opts.side), lapack_uplo_const(opts.uplo),
lapack_trans_const(opts.transA), lapack_diag_const(opts.diag),
&M, &N,
&alpha, h_A, &lda,
h_Blapack, &ldb );
cpu_time = magma_wtime() - cpu_time;
cpu_perf = gflops / cpu_time;
}
/* =====================================================================
Check the result
=================================================================== */
// ||b - 1/alpha*A*x|| / (||A||*||x||)
magmaFloatComplex inv_alpha = MAGMA_C_DIV( c_one, alpha );
float normR, normX, normA;
normA = lapackf77_clange( "M", &Ak, &Ak, h_A, &lda, work );
#if defined(HAVE_CUBLAS)
// check magma
memcpy( h_X, h_Bmagma, sizeB*sizeof(magmaFloatComplex) );
blasf77_ctrmm( lapack_side_const(opts.side), lapack_uplo_const(opts.uplo),
lapack_trans_const(opts.transA), lapack_diag_const(opts.diag),
&M, &N,
&inv_alpha, h_A, &lda,
h_X, &ldb );
blasf77_caxpy( &sizeB, &c_neg_one, h_B, &ione, h_X, &ione );
normR = lapackf77_clange( "M", &M, &N, h_X, &ldb, work );
normX = lapackf77_clange( "M", &M, &N, h_Bmagma, &ldb, work );
magma_error = normR/(normX*normA);
#endif
// check cublas
memcpy( h_X, h_Bcublas, sizeB*sizeof(magmaFloatComplex) );
blasf77_ctrmm( lapack_side_const(opts.side), lapack_uplo_const(opts.uplo),
lapack_trans_const(opts.transA), lapack_diag_const(opts.diag),
&M, &N,
&inv_alpha, h_A, &lda,
h_X, &ldb );
blasf77_caxpy( &sizeB, &c_neg_one, h_B, &ione, h_X, &ione );
normR = lapackf77_clange( "M", &M, &N, h_X, &ldb, work );
normX = lapackf77_clange( "M", &M, &N, h_Bcublas, &ldb, work );
cublas_error = normR/(normX*normA);
if ( opts.lapack ) {
// check lapack
// this verifies that the matrix wasn't so bad that it couldn't be solved accurately.
memcpy( h_X, h_Blapack, sizeB*sizeof(magmaFloatComplex) );
blasf77_ctrmm( lapack_side_const(opts.side), lapack_uplo_const(opts.uplo),
lapack_trans_const(opts.transA), lapack_diag_const(opts.diag),
&M, &N,
&inv_alpha, h_A, &lda,
h_X, &ldb );
blasf77_caxpy( &sizeB, &c_neg_one, h_B, &ione, h_X, &ione );
normR = lapackf77_clange( "M", &M, &N, h_X, &ldb, work );
normX = lapackf77_clange( "M", &M, &N, h_Blapack, &ldb, work );
lapack_error = normR/(normX*normA);
printf("%5d %5d %7.2f (%7.2f) %7.2f (%7.2f) %7.2f (%7.2f) %8.2e %8.2e %8.2e %s\n",
(int) M, (int) N,
magma_perf, 1000.*magma_time,
cublas_perf, 1000.*cublas_time,
cpu_perf, 1000.*cpu_time,
magma_error, cublas_error, lapack_error,
(magma_error < tol && cublas_error < tol? "ok" : "failed"));
status += ! (magma_error < tol && cublas_error < tol);
}
else {
printf("%5d %5d %7.2f (%7.2f) %7.2f (%7.2f) --- ( --- ) %8.2e %8.2e --- %s\n",
(int) M, (int) N,
magma_perf, 1000.*magma_time,
cublas_perf, 1000.*cublas_time,
magma_error, cublas_error,
(magma_error < tol && cublas_error < tol ? "ok" : "failed"));
status += ! (magma_error < tol && cublas_error < tol);
}
TESTING_FREE_CPU( h_A );
TESTING_FREE_CPU( h_B );
TESTING_FREE_CPU( h_X );
TESTING_FREE_CPU( h_Blapack );
TESTING_FREE_CPU( h_Bcublas );
TESTING_FREE_CPU( h_Bmagma );
TESTING_FREE_CPU( ipiv );
TESTING_FREE_DEV( d_A );
TESTING_FREE_DEV( d_B );
fflush( stdout );
}
if ( opts.niter > 1 ) {
printf( "\n" );
}
}
opts.cleanup();
TESTING_FINALIZE();
return status;
}
/* ////////////////////////////////////////////////////////////////////////////
-- Testing sormql
*/
int main( int argc, char** argv )
{
TESTING_INIT();
real_Double_t gflops, gpu_perf, gpu_time, cpu_perf, cpu_time;
float Cnorm, error, work[1];
float c_neg_one = MAGMA_S_NEG_ONE;
magma_int_t ione = 1;
magma_int_t mm, m, n, k, size, info;
magma_int_t ISEED[4] = {0,0,0,1};
magma_int_t nb, ldc, lda, lwork, lwork_max;
float *C, *R, *A, *hwork, *tau;
magma_int_t status = 0;
magma_opts opts;
opts.parse_opts( argc, argv );
// need slightly looser bound (60*eps instead of 30*eps) for some tests
opts.tolerance = max( 60., opts.tolerance );
float tol = opts.tolerance * lapackf77_slamch("E");
// test all combinations of input parameters
magma_side_t side [] = { MagmaLeft, MagmaRight };
magma_trans_t trans[] = { MagmaTrans, MagmaNoTrans };
printf("%% M N K side trans CPU Gflop/s (sec) GPU Gflop/s (sec) ||R||_F / ||QC||_F\n");
printf("%%==============================================================================================\n");
for( int itest = 0; itest < opts.ntest; ++itest ) {
for( int iside = 0; iside < 2; ++iside ) {
for( int itran = 0; itran < 2; ++itran ) {
for( int iter = 0; iter < opts.niter; ++iter ) {
m = opts.msize[itest];
n = opts.nsize[itest];
k = opts.ksize[itest];
nb = magma_get_sgeqlf_nb( m, n );
ldc = m;
// A is m x k (left) or n x k (right)
mm = (side[iside] == MagmaLeft ? m : n);
lda = mm;
gflops = FLOPS_SORMQL( m, n, k, side[iside] ) / 1e9;
if ( side[iside] == MagmaLeft && m < k ) {
printf( "%5d %5d %5d %4c %5c skipping because side=left and m < k\n",
(int) m, (int) n, (int) k,
lapacke_side_const( side[iside] ),
lapacke_trans_const( trans[itran] ) );
continue;
}
if ( side[iside] == MagmaRight && n < k ) {
printf( "%5d %5d %5d %4c %5c skipping because side=right and n < k\n",
(int) m, (int) n, (int) k,
lapacke_side_const( side[iside] ),
lapacke_trans_const( trans[itran] ) );
continue;
}
// need at least 2*nb*nb for geqlf
lwork_max = max( max( m*nb, n*nb ), 2*nb*nb );
// this rounds it up slightly if needed to agree with lwork query below
lwork_max = int( real( magma_smake_lwork( lwork_max )));
TESTING_MALLOC_CPU( C, float, ldc*n );
TESTING_MALLOC_CPU( R, float, ldc*n );
TESTING_MALLOC_CPU( A, float, lda*k );
TESTING_MALLOC_CPU( hwork, float, lwork_max );
TESTING_MALLOC_CPU( tau, float, k );
// C is full, m x n
size = ldc*n;
lapackf77_slarnv( &ione, ISEED, &size, C );
lapackf77_slacpy( "Full", &m, &n, C, &ldc, R, &ldc );
size = lda*k;
lapackf77_slarnv( &ione, ISEED, &size, A );
// compute QL factorization to get Householder vectors in A, tau
magma_sgeqlf( mm, k, A, lda, tau, hwork, lwork_max, &info );
if (info != 0) {
printf("magma_sgeqlf returned error %d: %s.\n",
(int) info, magma_strerror( info ));
}
/* =====================================================================
Performs operation using LAPACK
=================================================================== */
cpu_time = magma_wtime();
lapackf77_sormql( lapack_side_const( side[iside] ), lapack_trans_const( trans[itran] ),
&m, &n, &k,
A, &lda, tau, C, &ldc, hwork, &lwork_max, &info );
cpu_time = magma_wtime() - cpu_time;
cpu_perf = gflops / cpu_time;
if (info != 0) {
printf("lapackf77_sormql returned error %d: %s.\n",
(int) info, magma_strerror( info ));
}
/* ====================================================================
Performs operation using MAGMA
=================================================================== */
// query for workspace size
lwork = -1;
magma_sormql( side[iside], trans[itran],
m, n, k,
A, lda, tau, R, ldc, hwork, lwork, &info );
if (info != 0) {
printf("magma_sormql (lwork query) returned error %d: %s.\n",
(int) info, magma_strerror( info ));
}
lwork = (magma_int_t) MAGMA_S_REAL( hwork[0] );
if ( lwork < 0 || lwork > lwork_max ) {
printf("Warning: optimal lwork %d > allocated lwork_max %d\n", (int) lwork, (int) lwork_max );
lwork = lwork_max;
}
gpu_time = magma_wtime();
magma_sormql( side[iside], trans[itran],
m, n, k,
A, lda, tau, R, ldc, hwork, lwork, &info );
gpu_time = magma_wtime() - gpu_time;
gpu_perf = gflops / gpu_time;
if (info != 0) {
printf("magma_sormql returned error %d: %s.\n",
(int) info, magma_strerror( info ));
}
/* =====================================================================
compute relative error |QC_magma - QC_lapack| / |QC_lapack|
=================================================================== */
size = ldc*n;
blasf77_saxpy( &size, &c_neg_one, C, &ione, R, &ione );
Cnorm = lapackf77_slange( "Fro", &m, &n, C, &ldc, work );
error = lapackf77_slange( "Fro", &m, &n, R, &ldc, work ) / (magma_ssqrt(m*n) * Cnorm);
printf( "%5d %5d %5d %4c %5c %7.2f (%7.2f) %7.2f (%7.2f) %8.2e %s\n",
(int) m, (int) n, (int) k,
lapacke_side_const( side[iside] ),
lapacke_trans_const( trans[itran] ),
cpu_perf, cpu_time, gpu_perf, gpu_time,
error, (error < tol ? "ok" : "failed") );
status += ! (error < tol);
TESTING_FREE_CPU( C );
TESTING_FREE_CPU( R );
TESTING_FREE_CPU( A );
TESTING_FREE_CPU( hwork );
TESTING_FREE_CPU( tau );
fflush( stdout );
}
if ( opts.niter > 1 ) {
printf( "\n" );
}
}} // end iside, itran
printf( "\n" );
}
opts.cleanup();
TESTING_FINALIZE();
return status;
}
/* ////////////////////////////////////////////////////////////////////////////
-- Testing strmm
*/
int main( int argc, char** argv)
{
TESTING_INIT();
real_Double_t gflops, cublas_perf, cublas_time, cpu_perf, cpu_time;
float cublas_error, Cnorm, work[1];
magma_int_t M, N;
magma_int_t Ak;
magma_int_t sizeA, sizeB;
magma_int_t lda, ldb, ldda, lddb;
magma_int_t ione = 1;
magma_int_t ISEED[4] = {0,0,0,1};
float *h_A, *h_B, *h_Bcublas;
float *d_A, *d_B;
float c_neg_one = MAGMA_S_NEG_ONE;
float alpha = MAGMA_S_MAKE( 0.29, -0.86 );
magma_int_t status = 0;
magma_opts opts;
parse_opts( argc, argv, &opts );
opts.lapack |= opts.check; // check (-c) implies lapack (-l)
float tol = opts.tolerance * lapackf77_slamch("E");
printf("If running lapack (option --lapack), CUBLAS error is computed\n"
"relative to CPU BLAS result.\n\n");
printf("side = %s, uplo = %s, transA = %s, diag = %s \n",
lapack_side_const(opts.side), lapack_uplo_const(opts.uplo),
lapack_trans_const(opts.transA), lapack_diag_const(opts.diag) );
printf(" M N CUBLAS Gflop/s (ms) CPU Gflop/s (ms) CUBLAS error\n");
printf("==================================================================\n");
for( int itest = 0; itest < opts.ntest; ++itest ) {
for( int iter = 0; iter < opts.niter; ++iter ) {
M = opts.msize[itest];
N = opts.nsize[itest];
gflops = FLOPS_STRMM(opts.side, M, N) / 1e9;
if ( opts.side == MagmaLeft ) {
lda = M;
Ak = M;
} else {
lda = N;
Ak = N;
}
ldb = M;
ldda = ((lda+31)/32)*32;
lddb = ((ldb+31)/32)*32;
sizeA = lda*Ak;
sizeB = ldb*N;
TESTING_MALLOC_CPU( h_A, float, lda*Ak );
TESTING_MALLOC_CPU( h_B, float, ldb*N );
TESTING_MALLOC_CPU( h_Bcublas, float, ldb*N );
TESTING_MALLOC_DEV( d_A, float, ldda*Ak );
TESTING_MALLOC_DEV( d_B, float, lddb*N );
/* Initialize the matrices */
lapackf77_slarnv( &ione, ISEED, &sizeA, h_A );
lapackf77_slarnv( &ione, ISEED, &sizeB, h_B );
/* =====================================================================
Performs operation using CUBLAS
=================================================================== */
magma_ssetmatrix( Ak, Ak, h_A, lda, d_A, ldda );
magma_ssetmatrix( M, N, h_B, ldb, d_B, lddb );
// note cublas does trmm out-of-place (i.e., adds output matrix C),
// but allows C=B to do in-place.
cublas_time = magma_sync_wtime( NULL );
cublasStrmm( handle, cublas_side_const(opts.side), cublas_uplo_const(opts.uplo),
cublas_trans_const(opts.transA), cublas_diag_const(opts.diag),
M, N,
&alpha, d_A, ldda,
d_B, lddb,
d_B, lddb );
cublas_time = magma_sync_wtime( NULL ) - cublas_time;
cublas_perf = gflops / cublas_time;
magma_sgetmatrix( M, N, d_B, lddb, h_Bcublas, ldb );
/* =====================================================================
Performs operation using CPU BLAS
=================================================================== */
if ( opts.lapack ) {
cpu_time = magma_wtime();
blasf77_strmm( lapack_side_const(opts.side), lapack_uplo_const(opts.uplo),
lapack_trans_const(opts.transA), lapack_diag_const(opts.diag),
&M, &N,
&alpha, h_A, &lda,
h_B, &ldb );
cpu_time = magma_wtime() - cpu_time;
cpu_perf = gflops / cpu_time;
}
/* =====================================================================
Check the result
=================================================================== */
if ( opts.lapack ) {
// compute relative error for both magma & cublas, relative to lapack,
// |C_magma - C_lapack| / |C_lapack|
Cnorm = lapackf77_slange( "M", &M, &N, h_B, &ldb, work );
blasf77_saxpy( &sizeB, &c_neg_one, h_B, &ione, h_Bcublas, &ione );
cublas_error = lapackf77_slange( "M", &M, &N, h_Bcublas, &ldb, work ) / Cnorm;
printf("%5d %5d %7.2f (%7.2f) %7.2f (%7.2f) %8.2e %s\n",
(int) M, (int) N,
cublas_perf, 1000.*cublas_time,
cpu_perf, 1000.*cpu_time,
cublas_error, (cublas_error < tol ? "ok" : "failed"));
status += ! (cublas_error < tol);
}
else {
printf("%5d %5d %7.2f (%7.2f) --- ( --- ) --- ---\n",
(int) M, (int) N,
cublas_perf, 1000.*cublas_time);
}
TESTING_FREE_CPU( h_A );
TESTING_FREE_CPU( h_B );
TESTING_FREE_CPU( h_Bcublas );
TESTING_FREE_DEV( d_A );
TESTING_FREE_DEV( d_B );
fflush( stdout );
}
if ( opts.niter > 1 ) {
printf( "\n" );
}
}
TESTING_FINALIZE();
return status;
}
/* ////////////////////////////////////////////////////////////////////////////
-- Testing zgemm
*/
int main( int argc, char** argv)
{
TESTING_INIT();
real_Double_t gflops, magma_perf, magma_time, dev_perf, dev_time, cpu_perf, cpu_time;
double magma_error, dev_error, Cnorm, work[1];
magma_int_t M, N, K;
magma_int_t Am, An, Bm, Bn;
magma_int_t sizeA, sizeB, sizeC;
magma_int_t lda, ldb, ldc, ldda, lddb, lddc;
magma_int_t ione = 1;
magma_int_t ISEED[4] = {0,0,0,1};
magma_int_t status = 0;
magmaDoubleComplex *h_A, *h_B, *h_C, *h_Cmagma, *h_Cdev;
magmaDoubleComplex_ptr d_A, d_B, d_C;
magmaDoubleComplex c_neg_one = MAGMA_Z_NEG_ONE;
magmaDoubleComplex alpha = MAGMA_Z_MAKE( 0.29, -0.86 );
magmaDoubleComplex beta = MAGMA_Z_MAKE( -0.48, 0.38 );
magma_opts opts;
parse_opts( argc, argv, &opts );
double tol = opts.tolerance * lapackf77_dlamch("E");
#ifdef HAVE_CUBLAS
// for CUDA, we can check MAGMA vs. CUBLAS, without running LAPACK
printf("If running lapack (option --lapack), MAGMA and %s error are both computed\n"
"relative to CPU BLAS result. Else, MAGMA error is computed relative to %s result.\n\n",
g_platform_str, g_platform_str );
printf("transA = %s, transB = %s\n",
lapack_trans_const(opts.transA),
lapack_trans_const(opts.transB) );
printf(" M N K MAGMA Gflop/s (ms) %s Gflop/s (ms) CPU Gflop/s (ms) MAGMA error %s error\n",
g_platform_str, g_platform_str );
#else
// for others, we need LAPACK for check
opts.lapack |= opts.check; // check (-c) implies lapack (-l)
printf("transA = %s, transB = %s\n",
lapack_trans_const(opts.transA),
lapack_trans_const(opts.transB) );
printf(" M N K %s Gflop/s (ms) CPU Gflop/s (ms) %s error\n",
g_platform_str, g_platform_str );
#endif
printf("=========================================================================================================\n");
for( int itest = 0; itest < opts.ntest; ++itest ) {
for( int iter = 0; iter < opts.niter; ++iter ) {
M = opts.msize[itest];
N = opts.nsize[itest];
K = opts.ksize[itest];
gflops = FLOPS_ZGEMM( M, N, K ) / 1e9;
if ( opts.transA == MagmaNoTrans ) {
lda = Am = M;
An = K;
} else {
lda = Am = K;
An = M;
}
if ( opts.transB == MagmaNoTrans ) {
ldb = Bm = K;
Bn = N;
} else {
ldb = Bm = N;
Bn = K;
}
ldc = M;
ldda = ((lda+31)/32)*32;
lddb = ((ldb+31)/32)*32;
lddc = ((ldc+31)/32)*32;
sizeA = lda*An;
sizeB = ldb*Bn;
sizeC = ldc*N;
TESTING_MALLOC_CPU( h_A, magmaDoubleComplex, lda*An );
TESTING_MALLOC_CPU( h_B, magmaDoubleComplex, ldb*Bn );
TESTING_MALLOC_CPU( h_C, magmaDoubleComplex, ldc*N );
TESTING_MALLOC_CPU( h_Cmagma, magmaDoubleComplex, ldc*N );
TESTING_MALLOC_CPU( h_Cdev, magmaDoubleComplex, ldc*N );
TESTING_MALLOC_DEV( d_A, magmaDoubleComplex, ldda*An );
TESTING_MALLOC_DEV( d_B, magmaDoubleComplex, lddb*Bn );
TESTING_MALLOC_DEV( d_C, magmaDoubleComplex, lddc*N );
/* Initialize the matrices */
lapackf77_zlarnv( &ione, ISEED, &sizeA, h_A );
lapackf77_zlarnv( &ione, ISEED, &sizeB, h_B );
lapackf77_zlarnv( &ione, ISEED, &sizeC, h_C );
magma_zsetmatrix( Am, An, h_A, lda, d_A, ldda );
magma_zsetmatrix( Bm, Bn, h_B, ldb, d_B, lddb );
/* =====================================================================
Performs operation using MAGMABLAS (currently only with CUDA)
=================================================================== */
#ifdef HAVE_CUBLAS
magma_zsetmatrix( M, N, h_C, ldc, d_C, lddc );
magma_time = magma_sync_wtime( NULL );
magmablas_zgemm( opts.transA, opts.transB, M, N, K,
alpha, d_A, ldda,
d_B, lddb,
beta, d_C, lddc );
magma_time = magma_sync_wtime( NULL ) - magma_time;
magma_perf = gflops / magma_time;
magma_zgetmatrix( M, N, d_C, lddc, h_Cmagma, ldc );
#endif
/* =====================================================================
Performs operation using CUBLAS / clBLAS / Xeon Phi MKL
=================================================================== */
magma_zsetmatrix( M, N, h_C, ldc, d_C, lddc );
#ifdef HAVE_CUBLAS
dev_time = magma_sync_wtime( NULL );
cublasZgemm( opts.handle, cublas_trans_const(opts.transA), cublas_trans_const(opts.transB), M, N, K,
&alpha, d_A, ldda,
d_B, lddb,
&beta, d_C, lddc );
dev_time = magma_sync_wtime( NULL ) - dev_time;
#else
dev_time = magma_sync_wtime( opts.queue );
magma_zgemm( opts.transA, opts.transB, M, N, K,
alpha, d_A, 0, ldda,
d_B, 0, lddb,
beta, d_C, 0, lddc, opts.queue );
dev_time = magma_sync_wtime( opts.queue ) - dev_time;
#endif
dev_perf = gflops / dev_time;
magma_zgetmatrix( M, N, d_C, lddc, h_Cdev, ldc );
/* =====================================================================
Performs operation using CPU BLAS
=================================================================== */
if ( opts.lapack ) {
cpu_time = magma_wtime();
blasf77_zgemm( lapack_trans_const(opts.transA), lapack_trans_const(opts.transB), &M, &N, &K,
&alpha, h_A, &lda,
h_B, &ldb,
&beta, h_C, &ldc );
cpu_time = magma_wtime() - cpu_time;
cpu_perf = gflops / cpu_time;
}
/* =====================================================================
Check the result
=================================================================== */
if ( opts.lapack ) {
// compute relative error for both magma & dev, relative to lapack,
// |C_magma - C_lapack| / |C_lapack|
Cnorm = lapackf77_zlange( "F", &M, &N, h_C, &ldc, work );
blasf77_zaxpy( &sizeC, &c_neg_one, h_C, &ione, h_Cdev, &ione );
dev_error = lapackf77_zlange( "F", &M, &N, h_Cdev, &ldc, work ) / Cnorm;
#ifdef HAVE_CUBLAS
blasf77_zaxpy( &sizeC, &c_neg_one, h_C, &ione, h_Cmagma, &ione );
magma_error = lapackf77_zlange( "F", &M, &N, h_Cmagma, &ldc, work ) / Cnorm;
printf("%5d %5d %5d %7.2f (%7.2f) %7.2f (%7.2f) %7.2f (%7.2f) %8.2e %8.2e %s\n",
(int) M, (int) N, (int) K,
magma_perf, 1000.*magma_time,
dev_perf, 1000.*dev_time,
cpu_perf, 1000.*cpu_time,
magma_error, dev_error,
(magma_error < tol && dev_error < tol ? "ok" : "failed"));
status += ! (magma_error < tol && dev_error < tol);
#else
printf("%5d %5d %5d %7.2f (%7.2f) %7.2f (%7.2f) %8.2e %s\n",
(int) M, (int) N, (int) K,
dev_perf, 1000.*dev_time,
cpu_perf, 1000.*cpu_time,
dev_error,
(dev_error < tol ? "ok" : "failed"));
status += ! (dev_error < tol);
#endif
}
else {
#ifdef HAVE_CUBLAS
// compute relative error for magma, relative to dev (currently only with CUDA)
Cnorm = lapackf77_zlange( "F", &M, &N, h_Cdev, &ldc, work );
blasf77_zaxpy( &sizeC, &c_neg_one, h_Cdev, &ione, h_Cmagma, &ione );
magma_error = lapackf77_zlange( "F", &M, &N, h_Cmagma, &ldc, work ) / Cnorm;
printf("%5d %5d %5d %7.2f (%7.2f) %7.2f (%7.2f) --- ( --- ) %8.2e --- %s\n",
(int) M, (int) N, (int) K,
magma_perf, 1000.*magma_time,
dev_perf, 1000.*dev_time,
magma_error,
(magma_error < tol ? "ok" : "failed"));
status += ! (magma_error < tol);
#else
printf("%5d %5d %5d %7.2f (%7.2f) --- ( --- ) ---\n",
(int) M, (int) N, (int) K,
dev_perf, 1000.*dev_time );
#endif
}
TESTING_FREE_CPU( h_A );
TESTING_FREE_CPU( h_B );
TESTING_FREE_CPU( h_C );
TESTING_FREE_CPU( h_Cmagma );
TESTING_FREE_CPU( h_Cdev );
TESTING_FREE_DEV( d_A );
TESTING_FREE_DEV( d_B );
TESTING_FREE_DEV( d_C );
fflush( stdout );
}
if ( opts.niter > 1 ) {
printf( "\n" );
}
}
TESTING_FINALIZE();
return status;
}
/* ////////////////////////////////////////////////////////////////////////////
-- Testing dtrmm
*/
int main( int argc, char** argv)
{
TESTING_INIT();
real_Double_t gflops, cublas_perf, cublas_time, cpu_perf, cpu_time;
double cublas_error, Cnorm, work[1];
magma_int_t M, N;
magma_int_t Ak;
magma_int_t sizeA, sizeB;
magma_int_t lda, ldb, ldda, lddb, lddc;
magma_int_t ione = 1;
magma_int_t ISEED[4] = {0,0,0,1};
double *h_A, *h_B, *h_Bcublas;
magmaDouble_ptr d_A, d_B, d_C;
double c_neg_one = MAGMA_D_NEG_ONE;
double alpha = MAGMA_D_MAKE( 0.29, -0.86 );
magma_int_t status = 0;
magma_opts opts;
opts.parse_opts( argc, argv );
opts.lapack |= opts.check; // check (-c) implies lapack (-l)
double tol = opts.tolerance * lapackf77_dlamch("E");
printf("%% If running lapack (option --lapack), CUBLAS error is computed\n"
"%% relative to CPU BLAS result.\n\n");
printf("%% side = %s, uplo = %s, transA = %s, diag = %s \n",
lapack_side_const(opts.side), lapack_uplo_const(opts.uplo),
lapack_trans_const(opts.transA), lapack_diag_const(opts.diag) );
printf("%% M N CUBLAS Gflop/s (ms) CPU Gflop/s (ms) CUBLAS error\n");
printf("%%=================================================================\n");
for( int itest = 0; itest < opts.ntest; ++itest ) {
for( int iter = 0; iter < opts.niter; ++iter ) {
M = opts.msize[itest];
N = opts.nsize[itest];
gflops = FLOPS_DTRMM(opts.side, M, N) / 1e9;
if ( opts.side == MagmaLeft ) {
lda = M;
Ak = M;
} else {
lda = N;
Ak = N;
}
ldb = M;
ldda = magma_roundup( lda, opts.align ); // multiple of 32 by default
lddb = magma_roundup( ldb, opts.align ); // multiple of 32 by default
lddc = lddb;
sizeA = lda*Ak;
sizeB = ldb*N;
TESTING_MALLOC_CPU( h_A, double, lda*Ak );
TESTING_MALLOC_CPU( h_B, double, ldb*N );
TESTING_MALLOC_CPU( h_Bcublas, double, ldb*N );
TESTING_MALLOC_DEV( d_A, double, ldda*Ak );
TESTING_MALLOC_DEV( d_B, double, lddb*N );
TESTING_MALLOC_DEV( d_C, double, lddc*N );
/* Initialize the matrices */
lapackf77_dlarnv( &ione, ISEED, &sizeA, h_A );
lapackf77_dlarnv( &ione, ISEED, &sizeB, h_B );
/* =====================================================================
Performs operation using CUBLAS
=================================================================== */
magma_dsetmatrix( Ak, Ak, h_A, lda, d_A, ldda, opts.queue );
magma_dsetmatrix( M, N, h_B, ldb, d_B, lddb, opts.queue );
// note cublas does trmm out-of-place (i.e., adds output matrix C),
// but allows C=B to do in-place.
cublas_time = magma_sync_wtime( opts.queue );
#ifdef HAVE_CUBLAS
cublasDtrmm( opts.handle, cublas_side_const(opts.side), cublas_uplo_const(opts.uplo),
cublas_trans_const(opts.transA), cublas_diag_const(opts.diag),
M, N,
&alpha, d_A, ldda,
d_B, lddb,
d_C, lddc ); // output C; differs from BLAS standard
#else
magma_dtrmm( opts.side, opts.uplo, opts.transA, opts.diag,
M, N,
alpha, d_A, 0, ldda,
d_B, 0, lddb, opts.queue );
#endif
cublas_time = magma_sync_wtime( opts.queue ) - cublas_time;
cublas_perf = gflops / cublas_time;
#ifdef HAVE_CUBLAS
magma_dgetmatrix( M, N, d_C, lddc, h_Bcublas, ldb, opts.queue );
#else
magma_dgetmatrix( M, N, d_B, 0, lddb, h_Bcublas, ldb, opts.queue, opts.queue );
#endif
/* =====================================================================
Performs operation using CPU BLAS
=================================================================== */
if ( opts.lapack ) {
cpu_time = magma_wtime();
blasf77_dtrmm( lapack_side_const(opts.side), lapack_uplo_const(opts.uplo),
lapack_trans_const(opts.transA), lapack_diag_const(opts.diag),
&M, &N,
&alpha, h_A, &lda,
h_B, &ldb );
cpu_time = magma_wtime() - cpu_time;
cpu_perf = gflops / cpu_time;
}
/* =====================================================================
Check the result
=================================================================== */
if ( opts.lapack ) {
// compute relative error for both magma & cublas, relative to lapack,
// |C_magma - C_lapack| / |C_lapack|
Cnorm = lapackf77_dlange( "M", &M, &N, h_B, &ldb, work );
blasf77_daxpy( &sizeB, &c_neg_one, h_B, &ione, h_Bcublas, &ione );
cublas_error = lapackf77_dlange( "M", &M, &N, h_Bcublas, &ldb, work ) / Cnorm;
printf("%5d %5d %7.2f (%7.2f) %7.2f (%7.2f) %8.2e %s\n",
(int) M, (int) N,
cublas_perf, 1000.*cublas_time,
cpu_perf, 1000.*cpu_time,
cublas_error, (cublas_error < tol ? "ok" : "failed"));
status += ! (cublas_error < tol);
}
else {
printf("%5d %5d %7.2f (%7.2f) --- ( --- ) --- ---\n",
(int) M, (int) N,
cublas_perf, 1000.*cublas_time);
}
TESTING_FREE_CPU( h_A );
TESTING_FREE_CPU( h_B );
TESTING_FREE_CPU( h_Bcublas );
TESTING_FREE_DEV( d_A );
TESTING_FREE_DEV( d_B );
TESTING_FREE_DEV( d_C );
fflush( stdout );
}
if ( opts.niter > 1 ) {
printf( "\n" );
}
}
opts.cleanup();
TESTING_FINALIZE();
return status;
}
/* ////////////////////////////////////////////////////////////////////////////
-- Testing zunmbr
*/
int main( int argc, char** argv )
{
TESTING_INIT();
real_Double_t gflops, gpu_perf, gpu_time, cpu_perf, cpu_time;
double Cnorm, error, dwork[1];
magmaDoubleComplex c_neg_one = MAGMA_Z_NEG_ONE;
magma_int_t ione = 1;
magma_int_t m, n, k, mi, ni, mm, nn, nq, size, info;
magma_int_t ISEED[4] = {0,0,0,1};
magma_int_t nb, ldc, lda, lwork, lwork_max;
magmaDoubleComplex *C, *R, *A, *work, *tau, *tauq, *taup;
double *d, *e;
magma_int_t status = 0;
magma_opts opts;
opts.parse_opts( argc, argv );
// need slightly looser bound (60*eps instead of 30*eps) for some tests
opts.tolerance = max( 60., opts.tolerance );
double tol = opts.tolerance * lapackf77_dlamch("E");
// test all combinations of input parameters
magma_vect_t vect [] = { MagmaQ, MagmaP };
magma_side_t side [] = { MagmaLeft, MagmaRight };
magma_trans_t trans[] = { Magma_ConjTrans, MagmaNoTrans };
printf("%% M N K vect side trans CPU Gflop/s (sec) GPU Gflop/s (sec) ||R||_F / ||QC||_F\n");
printf("%%==============================================================================================\n");
for( int itest = 0; itest < opts.ntest; ++itest ) {
for( int ivect = 0; ivect < 2; ++ivect ) {
for( int iside = 0; iside < 2; ++iside ) {
for( int itran = 0; itran < 2; ++itran ) {
for( int iter = 0; iter < opts.niter; ++iter ) {
m = opts.msize[itest];
n = opts.nsize[itest];
k = opts.ksize[itest];
nb = magma_get_zgebrd_nb( m, n );
ldc = m;
// A is nq x k (vect=Q) or k x nq (vect=P)
// where nq=m (left) or nq=n (right)
nq = (side[iside] == MagmaLeft ? m : n );
mm = (vect[ivect] == MagmaQ ? nq : k );
nn = (vect[ivect] == MagmaQ ? k : nq);
lda = mm;
// MBR calls either MQR or MLQ in various ways
if ( vect[ivect] == MagmaQ ) {
if ( nq >= k ) {
gflops = FLOPS_ZUNMQR( m, n, k, side[iside] ) / 1e9;
}
else {
if ( side[iside] == MagmaLeft ) {
mi = m - 1;
ni = n;
}
else {
mi = m;
ni = n - 1;
}
gflops = FLOPS_ZUNMQR( mi, ni, nq-1, side[iside] ) / 1e9;
}
}
else {
if ( nq > k ) {
gflops = FLOPS_ZUNMLQ( m, n, k, side[iside] ) / 1e9;
}
else {
if ( side[iside] == MagmaLeft ) {
mi = m - 1;
ni = n;
}
else {
mi = m;
ni = n - 1;
}
gflops = FLOPS_ZUNMLQ( mi, ni, nq-1, side[iside] ) / 1e9;
}
}
// workspace for gebrd is (mm + nn)*nb
// workspace for unmbr is m*nb or n*nb, depending on side
lwork_max = max( (mm + nn)*nb, max( m*nb, n*nb ));
// this rounds it up slightly if needed to agree with lwork query below
lwork_max = int( real( magma_zmake_lwork( lwork_max )));
TESTING_MALLOC_CPU( C, magmaDoubleComplex, ldc*n );
TESTING_MALLOC_CPU( R, magmaDoubleComplex, ldc*n );
TESTING_MALLOC_CPU( A, magmaDoubleComplex, lda*nn );
TESTING_MALLOC_CPU( work, magmaDoubleComplex, lwork_max );
TESTING_MALLOC_CPU( d, double, min(mm,nn) );
TESTING_MALLOC_CPU( e, double, min(mm,nn) );
TESTING_MALLOC_CPU( tauq, magmaDoubleComplex, min(mm,nn) );
TESTING_MALLOC_CPU( taup, magmaDoubleComplex, min(mm,nn) );
// C is full, m x n
size = ldc*n;
lapackf77_zlarnv( &ione, ISEED, &size, C );
lapackf77_zlacpy( "Full", &m, &n, C, &ldc, R, &ldc );
size = lda*nn;
lapackf77_zlarnv( &ione, ISEED, &size, A );
// compute BRD factorization to get Householder vectors in A, tauq, taup
//lapackf77_zgebrd( &mm, &nn, A, &lda, d, e, tauq, taup, work, &lwork_max, &info );
magma_zgebrd( mm, nn, A, lda, d, e, tauq, taup, work, lwork_max, &info );
if (info != 0) {
printf("magma_zgebrd returned error %d: %s.\n",
(int) info, magma_strerror( info ));
}
if ( vect[ivect] == MagmaQ ) {
tau = tauq;
} else {
tau = taup;
}
/* =====================================================================
Performs operation using LAPACK
=================================================================== */
cpu_time = magma_wtime();
lapackf77_zunmbr( lapack_vect_const( vect[ivect] ),
lapack_side_const( side[iside] ),
lapack_trans_const( trans[itran] ),
&m, &n, &k,
A, &lda, tau, C, &ldc, work, &lwork_max, &info );
cpu_time = magma_wtime() - cpu_time;
cpu_perf = gflops / cpu_time;
if (info != 0) {
printf("lapackf77_zunmbr returned error %d: %s.\n",
(int) info, magma_strerror( info ));
}
/* ====================================================================
Performs operation using MAGMA
=================================================================== */
// query for workspace size
lwork = -1;
magma_zunmbr( vect[ivect], side[iside], trans[itran],
m, n, k,
A, lda, tau, R, ldc, work, lwork, &info );
if (info != 0) {
printf("magma_zunmbr (lwork query) returned error %d: %s.\n",
(int) info, magma_strerror( info ));
}
lwork = (magma_int_t) MAGMA_Z_REAL( work[0] );
if ( lwork < 0 || lwork > lwork_max ) {
printf("Warning: optimal lwork %d > allocated lwork_max %d\n", (int) lwork, (int) lwork_max );
lwork = lwork_max;
}
gpu_time = magma_wtime();
magma_zunmbr( vect[ivect], side[iside], trans[itran],
m, n, k,
A, lda, tau, R, ldc, work, lwork, &info );
gpu_time = magma_wtime() - gpu_time;
gpu_perf = gflops / gpu_time;
if (info != 0) {
printf("magma_zunmbr returned error %d: %s.\n",
(int) info, magma_strerror( info ));
}
/* =====================================================================
compute relative error |QC_magma - QC_lapack| / |QC_lapack|
=================================================================== */
size = ldc*n;
blasf77_zaxpy( &size, &c_neg_one, C, &ione, R, &ione );
Cnorm = lapackf77_zlange( "Fro", &m, &n, C, &ldc, dwork );
error = lapackf77_zlange( "Fro", &m, &n, R, &ldc, dwork ) / (magma_dsqrt(m*n) * Cnorm);
printf( "%5d %5d %5d %c %4c %5c %7.2f (%7.2f) %7.2f (%7.2f) %8.2e %s\n",
(int) m, (int) n, (int) k,
lapacke_vect_const( vect[ivect] ),
lapacke_side_const( side[iside] ),
lapacke_trans_const( trans[itran] ),
cpu_perf, cpu_time, gpu_perf, gpu_time,
error, (error < tol ? "ok" : "failed") );
status += ! (error < tol);
TESTING_FREE_CPU( C );
TESTING_FREE_CPU( R );
TESTING_FREE_CPU( A );
TESTING_FREE_CPU( work );
TESTING_FREE_CPU( d );
TESTING_FREE_CPU( e );
TESTING_FREE_CPU( taup );
TESTING_FREE_CPU( tauq );
fflush( stdout );
}
if ( opts.niter > 1 ) {
printf( "\n" );
}
}}} // end ivect, iside, itran
printf( "\n" );
}
opts.cleanup();
TESTING_FINALIZE();
return status;
}