/* ////////////////////////////////////////////////////////////////////////////
-- Testing chegst
*/
int main( int argc, char** argv)
{
TESTING_INIT();
// Constants
const magmaFloatComplex c_neg_one = MAGMA_C_NEG_ONE;
const magma_int_t ione = 1;
// Local variables
real_Double_t gpu_time, cpu_time;
magmaFloatComplex *h_A, *h_B, *h_R;
magmaFloatComplex_ptr d_A, d_B;
float Anorm, error, work[1];
magma_int_t N, n2, lda, ldda, info;
magma_int_t ISEED[4] = {0,0,0,1};
magma_int_t status = 0;
magma_opts opts;
opts.parse_opts( argc, argv );
opts.lapack |= opts.check; // check (-c) implies lapack (-l)
float tol = opts.tolerance * lapackf77_slamch("E");
printf("%% uplo = %s\n", lapack_uplo_const(opts.uplo) );
printf("%% itype N CPU time (sec) GPU time (sec) |R| \n");
printf("%%=======================================================\n");
for( int itest = 0; itest < opts.ntest; ++itest ) {
for( int iter = 0; iter < opts.niter; ++iter ) {
N = opts.nsize[itest];
lda = N;
ldda = magma_roundup( lda, opts.align );
n2 = N*lda;
TESTING_MALLOC_CPU( h_A, magmaFloatComplex, lda*N );
TESTING_MALLOC_CPU( h_B, magmaFloatComplex, lda*N );
TESTING_MALLOC_PIN( h_R, magmaFloatComplex, lda*N );
TESTING_MALLOC_DEV( d_A, magmaFloatComplex, ldda*N );
TESTING_MALLOC_DEV( d_B, magmaFloatComplex, ldda*N );
/* ====================================================================
Initialize the matrix
=================================================================== */
lapackf77_clarnv( &ione, ISEED, &n2, h_A );
lapackf77_clarnv( &ione, ISEED, &n2, h_B );
magma_cmake_hermitian( N, h_A, lda );
magma_cmake_hpd( N, h_B, lda );
magma_cpotrf( opts.uplo, N, h_B, lda, &info );
if (info != 0) {
printf("magma_cpotrf returned error %d: %s.\n",
(int) info, magma_strerror( info ));
}
magma_csetmatrix( N, N, h_A, lda, d_A, ldda );
magma_csetmatrix( N, N, h_B, lda, d_B, ldda );
/* ====================================================================
Performs operation using MAGMA
=================================================================== */
gpu_time = magma_wtime();
magma_chegst_gpu( opts.itype, opts.uplo, N, d_A, ldda, d_B, ldda, &info );
gpu_time = magma_wtime() - gpu_time;
if (info != 0) {
printf("magma_chegst_gpu returned error %d: %s.\n",
(int) info, magma_strerror( info ));
}
/* =====================================================================
Performs operation using LAPACK
=================================================================== */
if ( opts.lapack ) {
cpu_time = magma_wtime();
lapackf77_chegst( &opts.itype, lapack_uplo_const(opts.uplo),
&N, h_A, &lda, h_B, &lda, &info );
cpu_time = magma_wtime() - cpu_time;
if (info != 0) {
printf("lapackf77_chegst returned error %d: %s.\n",
(int) info, magma_strerror( info ));
}
magma_cgetmatrix( N, N, d_A, ldda, h_R, lda );
blasf77_caxpy( &n2, &c_neg_one, h_A, &ione, h_R, &ione );
Anorm = safe_lapackf77_clanhe("f", lapack_uplo_const(opts.uplo), &N, h_A, &lda, work );
error = safe_lapackf77_clanhe("f", lapack_uplo_const(opts.uplo), &N, h_R, &lda, work )
/ Anorm;
bool okay = (error < tol);
status += ! okay;
printf("%3d %5d %7.2f %7.2f %8.2e %s\n",
(int) opts.itype, (int) N, cpu_time, gpu_time,
error, (okay ? "ok" : "failed"));
}
else {
printf("%3d %5d --- %7.2f\n",
(int) opts.itype, (int) N, gpu_time );
}
TESTING_FREE_CPU( h_A );
TESTING_FREE_CPU( h_B );
TESTING_FREE_PIN( h_R );
TESTING_FREE_DEV( d_A );
TESTING_FREE_DEV( d_B );
fflush( stdout );
}
if ( opts.niter > 1 ) {
printf( "\n" );
}
}
opts.cleanup();
TESTING_FINALIZE();
return status;
}
/**
Purpose
-------
CHEGST_GPU reduces a complex Hermitian-definite generalized
eigenproblem to standard form.
If ITYPE = 1, the problem is A*x = lambda*B*x,
and A is overwritten by inv(U**H)*A*inv(U) or inv(L)*A*inv(L**H)
If ITYPE = 2 or 3, the problem is A*B*x = lambda*x or
B*A*x = lambda*x, and A is overwritten by U*A*U**H or L**H*A*L.
B must have been previously factorized as U**H*U or L*L**H by CPOTRF.
Arguments
---------
@param[in]
itype INTEGER
= 1: compute inv(U**H)*A*inv(U) or inv(L)*A*inv(L**H);
= 2 or 3: compute U*A*U**H or L**H*A*L.
@param[in]
uplo magma_uplo_t
- = MagmaUpper: Upper triangle of A is stored and B is factored as
U**H*U;
- = MagmaLower: Lower triangle of A is stored and B is factored as
L*L**H.
@param[in]
n INTEGER
The order of the matrices A and B. N >= 0.
@param[in,out]
dA COMPLEX array, dimension (LDA,N)
On entry, the Hermitian 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.
\n
On exit, if INFO = 0, the transformed matrix, stored in the
same format as A.
@param[in]
ldda INTEGER
The leading dimension of the array A. LDA >= max(1,N).
@param[in]
dB COMPLEX array, dimension (LDB,N)
The triangular factor from the Cholesky factorization of B,
as returned by CPOTRF.
@param[in]
lddb INTEGER
The leading dimension of the array B. LDB >= max(1,N).
@param[out]
info INTEGER
- = 0: successful exit
- < 0: if INFO = -i, the i-th argument had an illegal value
@ingroup magma_cheev_comp
********************************************************************/
extern "C" magma_int_t
magma_chegst_gpu(magma_int_t itype, magma_uplo_t uplo, magma_int_t n,
magmaFloatComplex *dA, magma_int_t ldda,
magmaFloatComplex *dB, magma_int_t lddb, magma_int_t *info)
{
#define A(i, j) (w + (j)*lda + (i))
#define B(i, j) (w + nb*lda + (j)*ldb + (i))
#define dA(i, j) (dA + (j)*ldda + (i))
#define dB(i, j) (dB + (j)*lddb + (i))
const char* uplo_ = lapack_uplo_const( uplo );
magma_int_t nb;
magma_int_t k, kb, kb2;
magmaFloatComplex c_one = MAGMA_C_ONE;
magmaFloatComplex c_neg_one = MAGMA_C_NEG_ONE;
magmaFloatComplex c_half = MAGMA_C_HALF;
magmaFloatComplex c_neg_half = MAGMA_C_NEG_HALF;
magmaFloatComplex *w;
magma_int_t lda;
magma_int_t ldb;
float d_one = 1.0;
int upper = (uplo == MagmaUpper);
/* Test the input parameters. */
*info = 0;
if (itype < 1 || itype > 3) {
*info = -1;
} else if (! upper && uplo != MagmaLower) {
*info = -2;
} else if (n < 0) {
*info = -3;
} else if (ldda < max(1,n)) {
*info = -5;
} else if (lddb < max(1,n)) {
*info = -7;
}
if (*info != 0) {
magma_xerbla( __func__, -(*info) );
return *info;
}
/* Quick return */
if ( n == 0 )
return *info;
nb = magma_get_chegst_nb(n);
lda = nb;
ldb = nb;
if (MAGMA_SUCCESS != magma_cmalloc_pinned( &w, 2*nb*nb )) {
*info = MAGMA_ERR_DEVICE_ALLOC;
return *info;
}
magma_queue_t stream[3];
magma_queue_create( &stream[0] );
magma_queue_create( &stream[1] );
magma_queue_create( &stream[2] );
/* Use hybrid blocked code */
if (itype == 1) {
if (upper) {
kb = min(n,nb);
/* Compute inv(U')*A*inv(U) */
magma_cgetmatrix_async( kb, kb,
dB(0, 0), lddb,
B(0, 0), nb, stream[2] );
magma_cgetmatrix_async( kb, kb,
dA(0, 0), ldda,
A(0, 0), nb, stream[1] );
for (k = 0; k < n; k += nb) {
kb = min(n-k,nb);
kb2= min(n-k-nb,nb);
/* Update the upper triangle of A(k:n,k:n) */
magma_queue_sync( stream[2] );
magma_queue_sync( stream[1] );
lapackf77_chegst( &itype, uplo_, &kb, A(0,0), &lda, B(0,0), &ldb, info);
magma_csetmatrix_async( kb, kb,
A(0, 0), lda,
dA(k, k), ldda, stream[0] );
if (k+kb < n) {
// Start copying the new B block
magma_cgetmatrix_async( kb2, kb2,
dB(k+kb, k+kb), lddb,
B(0, 0), nb, stream[2] );
magma_ctrsm(MagmaLeft, MagmaUpper, MagmaConjTrans, MagmaNonUnit,
kb, n-k-kb,
c_one, dB(k,k), lddb,
dA(k,k+kb), ldda);
magma_queue_sync( stream[0] );
magma_chemm(MagmaLeft, MagmaUpper,
kb, n-k-kb,
c_neg_half, dA(k,k), ldda,
dB(k,k+kb), lddb,
c_one, dA(k, k+kb), ldda);
magma_cher2k(MagmaUpper, MagmaConjTrans,
n-k-kb, kb,
c_neg_one, dA(k,k+kb), ldda,
dB(k,k+kb), lddb,
d_one, dA(k+kb,k+kb), ldda);
magma_cgetmatrix_async( kb2, kb2,
dA(k+kb, k+kb), ldda,
A(0, 0), lda, stream[1] );
magma_chemm(MagmaLeft, MagmaUpper,
kb, n-k-kb,
c_neg_half, dA(k,k), ldda,
dB(k,k+kb), lddb,
c_one, dA(k, k+kb), ldda);
magma_ctrsm(MagmaRight, MagmaUpper, MagmaNoTrans, MagmaNonUnit,
kb, n-k-kb,
c_one, dB(k+kb,k+kb), lddb,
dA(k,k+kb), ldda);
}
}
magma_queue_sync( stream[0] );
}
else {
kb = min(n,nb);
/* Compute inv(L)*A*inv(L') */
magma_cgetmatrix_async( kb, kb,
dB(0, 0), lddb,
B(0, 0), nb, stream[2] );
magma_cgetmatrix_async( kb, kb,
dA(0, 0), ldda,
A(0, 0), nb, stream[1] );
for (k = 0; k < n; k += nb) {
kb= min(n-k,nb);
kb2= min(n-k-nb,nb);
/* Update the lower triangle of A(k:n,k:n) */
magma_queue_sync( stream[2] );
magma_queue_sync( stream[1] );
lapackf77_chegst( &itype, uplo_, &kb, A(0, 0), &lda, B(0, 0), &ldb, info);
magma_csetmatrix_async( kb, kb,
A(0, 0), lda,
dA(k, k), ldda, stream[0] );
if (k+kb < n) {
// Start copying the new B block
magma_cgetmatrix_async( kb2, kb2,
dB(k+kb, k+kb), lddb,
B(0, 0), nb, stream[2] );
magma_ctrsm(MagmaRight, MagmaLower, MagmaConjTrans, MagmaNonUnit,
n-k-kb, kb,
c_one, dB(k,k), lddb,
dA(k+kb,k), ldda);
magma_queue_sync( stream[0] );
magma_chemm(MagmaRight, MagmaLower,
n-k-kb, kb,
c_neg_half, dA(k,k), ldda,
dB(k+kb,k), lddb,
c_one, dA(k+kb, k), ldda);
magma_cher2k(MagmaLower, MagmaNoTrans,
n-k-kb, kb,
c_neg_one, dA(k+kb,k), ldda,
dB(k+kb,k), lddb,
d_one, dA(k+kb,k+kb), ldda);
magma_cgetmatrix_async( kb2, kb2,
dA(k+kb, k+kb), ldda,
A(0, 0), lda, stream[1] );
magma_chemm(MagmaRight, MagmaLower,
n-k-kb, kb,
c_neg_half, dA(k,k), ldda,
dB(k+kb,k), lddb,
c_one, dA(k+kb, k), ldda);
magma_ctrsm(MagmaLeft, MagmaLower, MagmaNoTrans, MagmaNonUnit,
n-k-kb, kb,
c_one, dB(k+kb,k+kb), lddb,
dA(k+kb,k), ldda);
}
}
}
magma_queue_sync( stream[0] );
}
else {
if (upper) {
/* Compute U*A*U' */
for (k = 0; k < n; k += nb) {
kb= min(n-k,nb);
magma_cgetmatrix_async( kb, kb,
dB(k, k), lddb,
B(0, 0), nb, stream[2] );
/* Update the upper triangle of A(1:k+kb-1,1:k+kb-1) */
if (k > 0) {
magma_ctrmm(MagmaLeft, MagmaUpper, MagmaNoTrans, MagmaNonUnit,
k, kb,
c_one, dB(0,0), lddb,
dA(0,k), ldda);
magma_chemm(MagmaRight, MagmaUpper,
k, kb,
c_half, dA(k,k), ldda,
dB(0,k), lddb,
c_one, dA(0, k), ldda);
magma_queue_sync( stream[1] );
}
magma_cgetmatrix_async( kb, kb,
dA(k, k), ldda,
A(0, 0), lda, stream[0] );
if (k > 0) {
magma_cher2k(MagmaUpper, MagmaNoTrans,
k, kb,
c_one, dA(0,k), ldda,
dB(0,k), lddb,
d_one, dA(0,0), ldda);
magma_chemm(MagmaRight, MagmaUpper,
k, kb,
c_half, dA(k,k), ldda,
dB(0,k), lddb,
c_one, dA(0, k), ldda);
magma_ctrmm(MagmaRight, MagmaUpper, MagmaConjTrans, MagmaNonUnit,
k, kb,
c_one, dB(k,k), lddb,
dA(0,k), ldda);
}
magma_queue_sync( stream[2] );
magma_queue_sync( stream[0] );
lapackf77_chegst( &itype, uplo_, &kb, A(0, 0), &lda, B(0, 0), &ldb, info);
magma_csetmatrix_async( kb, kb,
A(0, 0), lda,
dA(k, k), ldda, stream[1] );
}
magma_queue_sync( stream[1] );
}
else {
/* Compute L'*A*L */
for (k = 0; k < n; k += nb) {
kb= min(n-k,nb);
magma_cgetmatrix_async( kb, kb,
dB(k, k), lddb,
B(0, 0), nb, stream[2] );
/* Update the lower triangle of A(1:k+kb-1,1:k+kb-1) */
if (k > 0) {
magma_ctrmm(MagmaRight, MagmaLower, MagmaNoTrans, MagmaNonUnit,
kb, k,
c_one, dB(0,0), lddb,
dA(k,0), ldda);
magma_chemm(MagmaLeft, MagmaLower,
kb, k,
c_half, dA(k,k), ldda,
dB(k,0), lddb,
c_one, dA(k, 0), ldda);
magma_queue_sync( stream[1] );
}
magma_cgetmatrix_async( kb, kb,
dA(k, k), ldda,
A(0, 0), lda, stream[0] );
if (k > 0) {
magma_cher2k(MagmaLower, MagmaConjTrans,
k, kb,
c_one, dA(k,0), ldda,
dB(k,0), lddb,
d_one, dA(0,0), ldda);
magma_chemm(MagmaLeft, MagmaLower,
kb, k,
c_half, dA(k,k), ldda,
dB(k,0), lddb,
c_one, dA(k, 0), ldda);
magma_ctrmm(MagmaLeft, MagmaLower, MagmaConjTrans, MagmaNonUnit,
kb, k,
c_one, dB(k,k), lddb,
dA(k,0), ldda);
}
magma_queue_sync( stream[2] );
magma_queue_sync( stream[0] );
lapackf77_chegst( &itype, uplo_, &kb, A(0, 0), &lda, B(0, 0), &ldb, info);
magma_csetmatrix_async( kb, kb,
A(0, 0), lda,
dA(k, k), ldda, stream[1] );
}
magma_queue_sync( stream[1] );
}
}
magma_queue_destroy( stream[0] );
magma_queue_destroy( stream[1] );
magma_queue_destroy( stream[2] );
magma_free_pinned( w );
return *info;
} /* magma_chegst_gpu */
