/***************************************************************************//**
Purpose
-------
CGESV solves a system of linear equations
A * X = B
where A is a general N-by-N matrix and X and B are N-by-NRHS matrices.
The LU decomposition without pivoting is
used to factor A as
A = L * U,
where L is unit lower triangular, and U is
upper triangular. The factored form of A is then used to solve the
system of equations A * X = B.
This is a batched version that solves batchCount N-by-N matrices in parallel.
dA, dB, and info become arrays with one entry per matrix.
Arguments
---------
@param[in]
n INTEGER
The order of the matrix A. N >= 0.
@param[in]
nrhs INTEGER
The number of right hand sides, i.e., the number of columns
of the matrix B. NRHS >= 0.
@param[in,out]
dA_array Array of pointers, dimension (batchCount).
Each is a COMPLEX array on the GPU, dimension (LDDA,N).
On entry, each pointer is an M-by-N matrix to be factored.
On exit, the factors L and U from the factorization
A = P*L*U; the unit diagonal elements of L are not stored.
@param[in]
ldda INTEGER
The leading dimension of each array A. LDDA >= max(1,M).
@param[in,out]
dB_array Array of pointers, dimension (batchCount).
Each is a COMPLEX array on the GPU, dimension (LDDB,N).
On entry, each pointer is an right hand side matrix B.
On exit, each pointer is the solution matrix X.
@param[in]
lddb INTEGER
The leading dimension of the array B. LDB >= max(1,N).
@param[out]
info_array Array of INTEGERs, dimension (batchCount), for corresponding matrices.
- = 0: successful exit
- < 0: if INFO = -i, the i-th argument had an illegal value
or another error occured, such as memory allocation failed.
- > 0: if INFO = i, U(i,i) is exactly zero. The factorization
has been completed, but the factor U is exactly
singular, and division by zero will occur if it is used
to solve a system of equations.
@param[in]
batchCount INTEGER
The number of matrices to operate on.
@param[in]
queue magma_queue_t
Queue to execute in.
@ingroup magma_gesv_nopiv_batched
*******************************************************************************/
extern "C" magma_int_t
magma_cgesv_nopiv_batched(
magma_int_t n, magma_int_t nrhs,
magmaFloatComplex **dA_array, magma_int_t ldda,
magmaFloatComplex **dB_array, magma_int_t lddb,
magma_int_t *info_array,
magma_int_t batchCount, magma_queue_t queue)
{
/* Local variables */
magma_int_t info;
info = 0;
if (n < 0) {
info = -1;
} else if (nrhs < 0) {
info = -2;
} else if (ldda < max(1,n)) {
info = -4;
} else if (lddb < max(1,n)) {
info = -6;
}
if (info != 0) {
magma_xerbla( __func__, -(info) );
return info;
}
/* Quick return if possible */
if (n == 0 || nrhs == 0) {
return info;
}
info = magma_cgetrf_nopiv_batched( n, n, dA_array, ldda, info_array, batchCount, queue);
if ( info != MAGMA_SUCCESS ) {
return info;
}
#ifdef CHECK_INFO
// check correctness of results throught "dinfo_magma" and correctness of argument throught "info"
magma_int_t *cpu_info = NULL;
magma_imalloc_cpu( &cpu_info, batchCount );
magma_getvector( batchCount, sizeof(magma_int_t), dinfo_array, 1, cpu_info, 1);
for (magma_int_t i=0; i < batchCount; i++)
{
if (cpu_info[i] != 0 ) {
printf("magma_cgetrf_batched matrix %lld returned error %lld\n", (long long) i, (long long) cpu_info[i] );
info = cpu_info[i];
magma_free_cpu (cpu_info);
return info;
}
}
magma_free_cpu (cpu_info);
#endif
info = magma_cgetrs_nopiv_batched( MagmaNoTrans, n, nrhs, dA_array, ldda, dB_array, lddb, info_array, batchCount, queue );
return info;
}
extern "C" magma_int_t
magma_cgesv_rbt_batched(
magma_int_t n, magma_int_t nrhs,
magmaFloatComplex **dA_array, magma_int_t ldda,
magmaFloatComplex **dB_array, magma_int_t lddb,
magma_int_t *dinfo_array,
magma_int_t batchCount, magma_queue_t queue)
{
/* Local variables */
magma_int_t i, info;
info = 0;
if (n < 0) {
info = -1;
} else if (nrhs < 0) {
info = -2;
} else if (ldda < max(1,n)) {
info = -4;
} else if (lddb < max(1,n)) {
info = -6;
}
if (info != 0) {
magma_xerbla( __func__, -(info) );
return info;
}
/* Quick return if possible */
if (n == 0 || nrhs == 0) {
return info;
}
magmaFloatComplex *hu, *hv;
if (MAGMA_SUCCESS != magma_cmalloc_cpu( &hu, 2*n )) {
info = MAGMA_ERR_HOST_ALLOC;
return info;
}
if (MAGMA_SUCCESS != magma_cmalloc_cpu( &hv, 2*n )) {
info = MAGMA_ERR_HOST_ALLOC;
return info;
}
info = magma_cgerbt_batched(MagmaTrue, n, nrhs, dA_array, n, dB_array, n, hu, hv, &info, batchCount, queue);
if (info != MAGMA_SUCCESS) {
return info;
}
info = magma_cgetrf_nopiv_batched( n, n, dA_array, ldda, dinfo_array, batchCount, queue);
if ( info != MAGMA_SUCCESS ) {
return info;
}
#ifdef CHECK_INFO
// check correctness of results throught "dinfo_magma" and correctness of argument throught "info"
magma_int_t *cpu_info = NULL;
magma_imalloc_cpu( &cpu_info, batchCount );
magma_getvector( batchCount, sizeof(magma_int_t), dinfo_array, 1, cpu_info, 1);
for (i=0; i < batchCount; i++)
{
if (cpu_info[i] != 0 ) {
printf("magma_cgetrf_batched matrix %d returned error %d\n",i, (int)cpu_info[i] );
info = cpu_info[i];
magma_free_cpu (cpu_info);
return info;
}
}
magma_free_cpu (cpu_info);
#endif
info = magma_cgetrs_nopiv_batched( MagmaNoTrans, n, nrhs, dA_array, ldda, dB_array, lddb, dinfo_array, batchCount, queue );
/* The solution of A.x = b is Vy computed on the GPU */
magmaFloatComplex *dv;
if (MAGMA_SUCCESS != magma_cmalloc( &dv, 2*n )) {
info = MAGMA_ERR_DEVICE_ALLOC;
return info;
}
magma_csetvector( 2*n, hv, 1, dv, 1, queue );
for (i = 0; i < nrhs; i++)
magmablas_cprbt_mv_batched(n, dv, dB_array+(i), batchCount, queue);
// magma_cgetmatrix( n, nrhs, db, nn, B, ldb, queue );
return info;
}