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cgerbt_func_batched.cu
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/*
-- MAGMA (version 2.1.0) --
Univ. of Tennessee, Knoxville
Univ. of California, Berkeley
Univ. of Colorado, Denver
@date August 2016
@generated from magmablas/zgerbt_func_batched.cu, normal z -> c, Tue Aug 30 09:38:38 2016
@author Adrien Remy
@author Azzam Haidar
*/
#include "magma_internal.h"
#include "cgerbt.h"
#define block_height 32
#define block_width 4
#define block_length 256
#define NB 64
/***************************************************************************//**
Purpose
-------
CPRBT_MVT compute B = UTB to randomize B
Arguments
---------
@param[in]
n INTEGER
The number of values of db. n >= 0.
@param[in]
du COMPLEX array, dimension (n,2)
The 2*n vector representing the random butterfly matrix V
@param[in,out]
db COMPLEX array, dimension (n)
The n vector db computed by CGESV_NOPIV_GPU
On exit db = du*db
@param[in]
queue magma_queue_t
Queue to execute in.
*******************************************************************************/
extern "C" void
magmablas_cprbt_mtv_batched(
magma_int_t n,
magmaFloatComplex *du, magmaFloatComplex **db_array,
magma_int_t batchCount, magma_queue_t queue)
{
magma_int_t threads = block_length;
dim3 grid( magma_ceildiv( n, 4*block_length ), batchCount);
magmablas_capply_transpose_vector_kernel_batched<<< grid, threads, 0, queue->cuda_stream() >>>(n/2, du, n, db_array, 0);
magmablas_capply_transpose_vector_kernel_batched<<< grid, threads, 0, queue->cuda_stream() >>>(n/2, du, n+n/2, db_array, n/2);
threads = block_length;
grid = magma_ceildiv( n, 2*block_length );
magmablas_capply_transpose_vector_kernel_batched<<< grid, threads, 0, queue->cuda_stream() >>>(n, du, 0, db_array, 0);
}
/***************************************************************************//**
Purpose
-------
CPRBT_MV compute B = VB to obtain the non randomized solution
Arguments
---------
@param[in]
n INTEGER
The number of values of db. n >= 0.
@param[in,out]
db COMPLEX array, dimension (n)
The n vector db computed by CGESV_NOPIV_GPU
On exit db = dv*db
@param[in]
dv COMPLEX array, dimension (n,2)
The 2*n vector representing the random butterfly matrix V
@param[in]
queue magma_queue_t
Queue to execute in.
*******************************************************************************/
extern "C" void
magmablas_cprbt_mv_batched(
magma_int_t n,
magmaFloatComplex *dv, magmaFloatComplex **db_array,
magma_int_t batchCount, magma_queue_t queue)
{
magma_int_t threads = block_length;
dim3 grid ( magma_ceildiv( n, 2*block_length ), batchCount);
magmablas_capply_vector_kernel_batched<<< grid, threads, 0, queue->cuda_stream() >>>(n, dv, 0, db_array, 0);
threads = block_length;
grid = magma_ceildiv( n, 4*block_length );
magmablas_capply_vector_kernel_batched<<< grid, threads, 0, queue->cuda_stream() >>>(n/2, dv, n, db_array, 0);
magmablas_capply_vector_kernel_batched<<< grid, threads, 0, queue->cuda_stream() >>>(n/2, dv, n+n/2, db_array, n/2);
}
/***************************************************************************//**
Purpose
-------
CPRBT randomize a square general matrix using partial randomized transformation
Arguments
---------
@param[in]
n INTEGER
The number of columns and rows of the matrix dA. n >= 0.
@param[in,out]
dA COMPLEX array, dimension (n,ldda)
The n-by-n matrix dA
On exit dA = duT*dA*d_V
@param[in]
ldda INTEGER
The leading dimension of the array dA. LDA >= max(1,n).
@param[in]
du COMPLEX array, dimension (n,2)
The 2*n vector representing the random butterfly matrix U
@param[in]
dv COMPLEX array, dimension (n,2)
The 2*n vector representing the random butterfly matrix V
@param[in]
queue magma_queue_t
Queue to execute in.
*******************************************************************************/
extern "C" void
magmablas_cprbt_batched(
magma_int_t n,
magmaFloatComplex **dA_array, magma_int_t ldda,
magmaFloatComplex *du, magmaFloatComplex *dv,
magma_int_t batchCount, magma_queue_t queue)
{
du += ldda;
dv += ldda;
dim3 threads(block_height, block_width);
dim3 grid( magma_ceildiv( n, 4*block_height ),
magma_ceildiv( n, 4*block_width ),
batchCount );
magmablas_celementary_multiplication_kernel_batched<<< grid, threads, 0, queue->cuda_stream() >>>(n/2, dA_array, 0, ldda, du, 0, dv, 0);
magmablas_celementary_multiplication_kernel_batched<<< grid, threads, 0, queue->cuda_stream() >>>(n/2, dA_array, ldda*n/2, ldda, du, 0, dv, n/2);
magmablas_celementary_multiplication_kernel_batched<<< grid, threads, 0, queue->cuda_stream() >>>(n/2, dA_array, n/2, ldda, du, n/2, dv, 0);
magmablas_celementary_multiplication_kernel_batched<<< grid, threads, 0, queue->cuda_stream() >>>(n/2, dA_array, ldda*n/2+n/2, ldda, du, n/2, dv, n/2);
dim3 threads2(block_height, block_width);
dim3 grid2( magma_ceildiv( n, 2*block_height ),
magma_ceildiv( n, 2*block_width ),
batchCount );
magmablas_celementary_multiplication_kernel_batched<<< grid2, threads2, 0, queue->cuda_stream() >>>(n, dA_array, 0, ldda, du, -ldda, dv, -ldda);
}