Functions | |
void | magma_zgemv (magma_trans_t transA, magma_int_t m, magma_int_t n, magmaDoubleComplex alpha, magmaDoubleComplex_const_ptr dA, magma_int_t ldda, magmaDoubleComplex_const_ptr dx, magma_int_t incx, magmaDoubleComplex beta, magmaDoubleComplex_ptr dy, magma_int_t incy) |
Perform matrix-vector product. | |
void | magma_zgerc (magma_int_t m, magma_int_t n, magmaDoubleComplex alpha, magmaDoubleComplex_const_ptr dx, magma_int_t incx, magmaDoubleComplex_const_ptr dy, magma_int_t incy, magmaDoubleComplex_ptr dA, magma_int_t ldda) |
Perform rank-1 update, ![]() | |
void | magma_zgeru (magma_int_t m, magma_int_t n, magmaDoubleComplex alpha, magmaDoubleComplex_const_ptr dx, magma_int_t incx, magmaDoubleComplex_const_ptr dy, magma_int_t incy, magmaDoubleComplex_ptr dA, magma_int_t ldda) |
Perform rank-1 update (unconjugated), ![]() | |
void | magma_zhemv (magma_uplo_t uplo, magma_int_t n, magmaDoubleComplex alpha, magmaDoubleComplex_const_ptr dA, magma_int_t ldda, magmaDoubleComplex_const_ptr dx, magma_int_t incx, magmaDoubleComplex beta, magmaDoubleComplex_ptr dy, magma_int_t incy) |
Perform Hermitian matrix-vector product, ![]() | |
void | magma_zher (magma_uplo_t uplo, magma_int_t n, double alpha, magmaDoubleComplex_const_ptr dx, magma_int_t incx, magmaDoubleComplex_ptr dA, magma_int_t ldda) |
Perform Hermitian rank-1 update, ![]() | |
void | magma_zher2 (magma_uplo_t uplo, magma_int_t n, magmaDoubleComplex alpha, magmaDoubleComplex_const_ptr dx, magma_int_t incx, magmaDoubleComplex_const_ptr dy, magma_int_t incy, magmaDoubleComplex_ptr dA, magma_int_t ldda) |
Perform Hermitian rank-2 update, ![]() | |
void | magma_ztrmv (magma_uplo_t uplo, magma_trans_t trans, magma_diag_t diag, magma_int_t n, magmaDoubleComplex_const_ptr dA, magma_int_t ldda, magmaDoubleComplex_ptr dx, magma_int_t incx) |
Perform triangular matrix-vector product. | |
void | magma_ztrsv (magma_uplo_t uplo, magma_trans_t trans, magma_diag_t diag, magma_int_t n, magmaDoubleComplex_const_ptr dA, magma_int_t ldda, magmaDoubleComplex_ptr dx, magma_int_t incx) |
Solve triangular matrix-vector system (one right-hand side). | |
void | magmablas_zgemv_conjv (magma_int_t m, magma_int_t n, magmaDoubleComplex alpha, magmaDoubleComplex_const_ptr dA, magma_int_t ldda, magmaDoubleComplex_const_ptr dx, magma_int_t incx, magmaDoubleComplex beta, magmaDoubleComplex_ptr dy, magma_int_t incy) |
ZGEMV_CONJV performs the matrix-vector operation. | |
magma_int_t | magmablas_zhemv_work (magma_uplo_t uplo, magma_int_t n, magmaDoubleComplex alpha, magmaDoubleComplex_const_ptr dA, magma_int_t ldda, magmaDoubleComplex_const_ptr dx, magma_int_t incx, magmaDoubleComplex beta, magmaDoubleComplex_ptr dy, magma_int_t incy, magmaDoubleComplex_ptr dwork, magma_int_t lwork, magma_queue_t queue) |
magmablas_zhemv_work performs the matrix-vector operation: | |
magma_int_t | magmablas_zhemv (magma_uplo_t uplo, magma_int_t n, magmaDoubleComplex alpha, magmaDoubleComplex_const_ptr dA, magma_int_t ldda, magmaDoubleComplex_const_ptr dx, magma_int_t incx, magmaDoubleComplex beta, magmaDoubleComplex_ptr dy, magma_int_t incy) |
magmablas_zhemv performs the matrix-vector operation: | |
magma_int_t | magmablas_zhemv_mgpu (magma_uplo_t uplo, magma_int_t n, magmaDoubleComplex alpha, magmaDoubleComplex_const_ptr const d_lA[], magma_int_t ldda, magma_int_t offset, magmaDoubleComplex const *x, magma_int_t incx, magmaDoubleComplex beta, magmaDoubleComplex *y, magma_int_t incy, magmaDoubleComplex *hwork, magma_int_t lhwork, magmaDoubleComplex_ptr dwork[], magma_int_t ldwork, magma_int_t ngpu, magma_int_t nb, magma_queue_t queues[]) |
magmablas_zhemv_mgpu performs the matrix-vector operation: | |
magma_int_t | magmablas_zhemv_mgpu_sync (magma_uplo_t uplo, magma_int_t n, magmaDoubleComplex alpha, magmaDoubleComplex_const_ptr const d_lA[], magma_int_t ldda, magma_int_t offset, magmaDoubleComplex const *x, magma_int_t incx, magmaDoubleComplex beta, magmaDoubleComplex *y, magma_int_t incy, magmaDoubleComplex *hwork, magma_int_t lhwork, magmaDoubleComplex_ptr dwork[], magma_int_t ldwork, magma_int_t ngpu, magma_int_t nb, magma_queue_t queues[]) |
Synchronizes and acculumates final zhemv result. | |
void | magmablas_zswapblk (magma_order_t order, magma_int_t n, magmaDoubleComplex_ptr dA, magma_int_t ldda, magmaDoubleComplex_ptr dB, magma_int_t lddb, magma_int_t i1, magma_int_t i2, const magma_int_t *ipiv, magma_int_t inci, magma_int_t offset) |
magma_int_t | magmablas_zsymv_work (magma_uplo_t uplo, magma_int_t n, magmaDoubleComplex alpha, magmaDoubleComplex_const_ptr dA, magma_int_t ldda, magmaDoubleComplex_const_ptr dx, magma_int_t incx, magmaDoubleComplex beta, magmaDoubleComplex_ptr dy, magma_int_t incy, magmaDoubleComplex_ptr dwork, magma_int_t lwork, magma_queue_t queue) |
magmablas_zsymv_work performs the matrix-vector operation: | |
magma_int_t | magmablas_zsymv (magma_uplo_t uplo, magma_int_t n, magmaDoubleComplex alpha, magmaDoubleComplex_const_ptr dA, magma_int_t ldda, magmaDoubleComplex_const_ptr dx, magma_int_t incx, magmaDoubleComplex beta, magmaDoubleComplex_ptr dy, magma_int_t incy) |
magmablas_zsymv performs the matrix-vector operation: |
void magma_zgemv | ( | magma_trans_t | transA, | |
magma_int_t | m, | |||
magma_int_t | n, | |||
magmaDoubleComplex | alpha, | |||
magmaDoubleComplex_const_ptr | dA, | |||
magma_int_t | ldda, | |||
magmaDoubleComplex_const_ptr | dx, | |||
magma_int_t | incx, | |||
magmaDoubleComplex | beta, | |||
magmaDoubleComplex_ptr | dy, | |||
magma_int_t | incy | |||
) |
Perform matrix-vector product.
(transA == MagmaNoTrans), or
(transA == MagmaTrans), or
(transA == MagmaConjTrans).
[in] | transA | Operation to perform on A. |
[in] | m | Number of rows of A. m >= 0. |
[in] | n | Number of columns of A. n >= 0. |
[in] | alpha | Scalar ![]() |
[in] | dA | COMPLEX_16 array of dimension (ldda,n), ldda >= max(1,m). The m-by-n matrix A, on GPU device. |
[in] | ldda | Leading dimension of dA. |
[in] | dx | COMPLEX_16 array on GPU device. If transA == MagmaNoTrans, the n element vector x of dimension (1 + (n-1)*incx); otherwise, the m element vector x of dimension (1 + (m-1)*incx). |
[in] | incx | Stride between consecutive elements of dx. incx != 0. |
[in] | beta | Scalar ![]() |
[in,out] | dy | COMPLEX_16 array on GPU device. If transA == MagmaNoTrans, the m element vector y of dimension (1 + (m-1)*incy); otherwise, the n element vector y of dimension (1 + (n-1)*incy). |
[in] | incy | Stride between consecutive elements of dy. incy != 0. |
void magma_zgerc | ( | magma_int_t | m, | |
magma_int_t | n, | |||
magmaDoubleComplex | alpha, | |||
magmaDoubleComplex_const_ptr | dx, | |||
magma_int_t | incx, | |||
magmaDoubleComplex_const_ptr | dy, | |||
magma_int_t | incy, | |||
magmaDoubleComplex_ptr | dA, | |||
magma_int_t | ldda | |||
) |
Perform rank-1 update, .
[in] | m | Number of rows of A. m >= 0. |
[in] | n | Number of columns of A. n >= 0. |
[in] | alpha | Scalar ![]() |
[in] | dx | COMPLEX_16 array on GPU device. The m element vector x of dimension (1 + (m-1)*incx). |
[in] | incx | Stride between consecutive elements of dx. incx != 0. |
[in] | dy | COMPLEX_16 array on GPU device. The n element vector y of dimension (1 + (n-1)*incy). |
[in] | incy | Stride between consecutive elements of dy. incy != 0. |
[in,out] | dA | COMPLEX_16 array on GPU device. The m-by-n matrix A of dimension (ldda,n), ldda >= max(1,m). |
[in] | ldda | Leading dimension of dA. |
void magma_zgeru | ( | magma_int_t | m, | |
magma_int_t | n, | |||
magmaDoubleComplex | alpha, | |||
magmaDoubleComplex_const_ptr | dx, | |||
magma_int_t | incx, | |||
magmaDoubleComplex_const_ptr | dy, | |||
magma_int_t | incy, | |||
magmaDoubleComplex_ptr | dA, | |||
magma_int_t | ldda | |||
) |
Perform rank-1 update (unconjugated), .
[in] | m | Number of rows of A. m >= 0. |
[in] | n | Number of columns of A. n >= 0. |
[in] | alpha | Scalar ![]() |
[in] | dx | COMPLEX_16 array on GPU device. The m element vector x of dimension (1 + (m-1)*incx). |
[in] | incx | Stride between consecutive elements of dx. incx != 0. |
[in] | dy | COMPLEX_16 array on GPU device. The n element vector y of dimension (1 + (n-1)*incy). |
[in] | incy | Stride between consecutive elements of dy. incy != 0. |
[in,out] | dA | COMPLEX_16 array of dimension (ldda,n), ldda >= max(1,m). The m-by-n matrix A, on GPU device. |
[in] | ldda | Leading dimension of dA. |
void magma_zhemv | ( | magma_uplo_t | uplo, | |
magma_int_t | n, | |||
magmaDoubleComplex | alpha, | |||
magmaDoubleComplex_const_ptr | dA, | |||
magma_int_t | ldda, | |||
magmaDoubleComplex_const_ptr | dx, | |||
magma_int_t | incx, | |||
magmaDoubleComplex | beta, | |||
magmaDoubleComplex_ptr | dy, | |||
magma_int_t | incy | |||
) |
Perform Hermitian matrix-vector product, .
[in] | uplo | Whether the upper or lower triangle of A is referenced. |
[in] | n | Number of rows and columns of A. n >= 0. |
[in] | alpha | Scalar ![]() |
[in] | dA | COMPLEX_16 array of dimension (ldda,n), ldda >= max(1,n). The n-by-n matrix A, on GPU device. |
[in] | ldda | Leading dimension of dA. |
[in] | dx | COMPLEX_16 array on GPU device. The m element vector x of dimension (1 + (m-1)*incx). |
[in] | incx | Stride between consecutive elements of dx. incx != 0. |
[in] | beta | Scalar ![]() |
[in,out] | dy | COMPLEX_16 array on GPU device. The n element vector y of dimension (1 + (n-1)*incy). |
[in] | incy | Stride between consecutive elements of dy. incy != 0. |
void magma_zher | ( | magma_uplo_t | uplo, | |
magma_int_t | n, | |||
double | alpha, | |||
magmaDoubleComplex_const_ptr | dx, | |||
magma_int_t | incx, | |||
magmaDoubleComplex_ptr | dA, | |||
magma_int_t | ldda | |||
) |
Perform Hermitian rank-1 update, .
[in] | uplo | Whether the upper or lower triangle of A is referenced. |
[in] | n | Number of rows and columns of A. n >= 0. |
[in] | alpha | Scalar ![]() |
[in] | dx | COMPLEX_16 array on GPU device. The n element vector x of dimension (1 + (n-1)*incx). |
[in] | incx | Stride between consecutive elements of dx. incx != 0. |
[in,out] | dA | COMPLEX_16 array of dimension (ldda,n), ldda >= max(1,n). The n-by-n matrix A, on GPU device. |
[in] | ldda | Leading dimension of dA. |
void magma_zher2 | ( | magma_uplo_t | uplo, | |
magma_int_t | n, | |||
magmaDoubleComplex | alpha, | |||
magmaDoubleComplex_const_ptr | dx, | |||
magma_int_t | incx, | |||
magmaDoubleComplex_const_ptr | dy, | |||
magma_int_t | incy, | |||
magmaDoubleComplex_ptr | dA, | |||
magma_int_t | ldda | |||
) |
Perform Hermitian rank-2 update, .
[in] | uplo | Whether the upper or lower triangle of A is referenced. |
[in] | n | Number of rows and columns of A. n >= 0. |
[in] | alpha | Scalar ![]() |
[in] | dx | COMPLEX_16 array on GPU device. The n element vector x of dimension (1 + (n-1)*incx). |
[in] | incx | Stride between consecutive elements of dx. incx != 0. |
[in] | dy | COMPLEX_16 array on GPU device. The n element vector y of dimension (1 + (n-1)*incy). |
[in] | incy | Stride between consecutive elements of dy. incy != 0. |
[in,out] | dA | COMPLEX_16 array of dimension (ldda,n), ldda >= max(1,n). The n-by-n matrix A, on GPU device. |
[in] | ldda | Leading dimension of dA. |
void magma_ztrmv | ( | magma_uplo_t | uplo, | |
magma_trans_t | trans, | |||
magma_diag_t | diag, | |||
magma_int_t | n, | |||
magmaDoubleComplex_const_ptr | dA, | |||
magma_int_t | ldda, | |||
magmaDoubleComplex_ptr | dx, | |||
magma_int_t | incx | |||
) |
Perform triangular matrix-vector product.
(trans == MagmaNoTrans), or
(trans == MagmaTrans), or
(trans == MagmaConjTrans).
[in] | uplo | Whether the upper or lower triangle of A is referenced. |
[in] | trans | Operation to perform on A. |
[in] | diag | Whether the diagonal of A is assumed to be unit or non-unit. |
[in] | n | Number of rows and columns of A. n >= 0. |
[in] | dA | COMPLEX_16 array of dimension (ldda,n), ldda >= max(1,n). The n-by-n matrix A, on GPU device. |
[in] | ldda | Leading dimension of dA. |
[in] | dx | COMPLEX_16 array on GPU device. The n element vector x of dimension (1 + (n-1)*incx). |
[in] | incx | Stride between consecutive elements of dx. incx != 0. |
void magma_ztrsv | ( | magma_uplo_t | uplo, | |
magma_trans_t | trans, | |||
magma_diag_t | diag, | |||
magma_int_t | n, | |||
magmaDoubleComplex_const_ptr | dA, | |||
magma_int_t | ldda, | |||
magmaDoubleComplex_ptr | dx, | |||
magma_int_t | incx | |||
) |
Solve triangular matrix-vector system (one right-hand side).
(trans == MagmaNoTrans), or
(trans == MagmaTrans), or
(trans == MagmaConjTrans).
[in] | uplo | Whether the upper or lower triangle of A is referenced. |
[in] | trans | Operation to perform on A. |
[in] | diag | Whether the diagonal of A is assumed to be unit or non-unit. |
[in] | n | Number of rows and columns of A. n >= 0. |
[in] | dA | COMPLEX_16 array of dimension (ldda,n), ldda >= max(1,n). The n-by-n matrix A, on GPU device. |
[in] | ldda | Leading dimension of dA. |
[in,out] | dx | COMPLEX_16 array on GPU device. On entry, the n element RHS vector b of dimension (1 + (n-1)*incx). On exit, overwritten with the solution vector x. |
[in] | incx | Stride between consecutive elements of dx. incx != 0. |
void magmablas_zgemv_conjv | ( | magma_int_t | m, | |
magma_int_t | n, | |||
magmaDoubleComplex | alpha, | |||
magmaDoubleComplex_const_ptr | dA, | |||
magma_int_t | ldda, | |||
magmaDoubleComplex_const_ptr | dx, | |||
magma_int_t | incx, | |||
magmaDoubleComplex | beta, | |||
magmaDoubleComplex_ptr | dy, | |||
magma_int_t | incy | |||
) |
ZGEMV_CONJV performs the matrix-vector operation.
y := alpha*A*conj(x) + beta*y,
where alpha and beta are scalars, x and y are vectors and A is an m by n matrix.
[in] | m | INTEGER On entry, m specifies the number of rows of the matrix A. |
[in] | n | INTEGER On entry, n specifies the number of columns of the matrix A |
[in] | alpha | COMPLEX_16 On entry, ALPHA specifies the scalar alpha. |
[in] | dA | COMPLEX_16 array of dimension ( LDDA, n ) on the GPU. |
[in] | ldda | INTEGER LDDA specifies the leading dimension of A. |
[in] | dx | COMPLEX_16 array of dimension n |
[in] | incx | Specifies the increment for the elements of X. INCX must not be zero. |
[in] | beta | DOUBLE REAL On entry, BETA specifies the scalar beta. When BETA is supplied as zero then Y need not be set on input. |
[out] | dy | DOUBLE PRECISION array of dimension m |
[in] | incy | Specifies the increment for the elements of Y. INCY must not be zero. |
magma_int_t magmablas_zhemv | ( | magma_uplo_t | uplo, | |
magma_int_t | n, | |||
magmaDoubleComplex | alpha, | |||
magmaDoubleComplex_const_ptr | dA, | |||
magma_int_t | ldda, | |||
magmaDoubleComplex_const_ptr | dx, | |||
magma_int_t | incx, | |||
magmaDoubleComplex | beta, | |||
magmaDoubleComplex_ptr | dy, | |||
magma_int_t | incy | |||
) |
magmablas_zhemv performs the matrix-vector operation:
y := alpha*A*x + beta*y,
where alpha and beta are scalars, x and y are n element vectors and A is an n by n Hermitian matrix.
[in] | uplo | magma_uplo_t. On entry, UPLO specifies whether the upper or lower triangular part of the array A is to be referenced as follows:
|
[in] | n | INTEGER. On entry, N specifies the order of the matrix A. N must be at least zero. |
[in] | alpha | COMPLEX_16. On entry, ALPHA specifies the scalar alpha. |
[in] | dA | COMPLEX_16 array of DIMENSION ( LDDA, n ). Before entry with UPLO = MagmaUpper, the leading n by n upper triangular part of the array A must contain the upper triangular part of the Hermitian matrix and the strictly lower triangular part of A is not referenced. Before entry with UPLO = MagmaLower, the leading n by n lower triangular part of the array A must contain the lower triangular part of the Hermitian matrix and the strictly upper triangular part of A is not referenced. Note that the imaginary parts of the diagonal elements need not be set and are assumed to be zero. |
[in] | ldda | INTEGER. On entry, LDDA specifies the first dimension of A as declared in the calling (sub) program. LDDA must be at least max( 1, n ). It is recommended that ldda is multiple of 16. Otherwise performance would be deteriorated as the memory accesses would not be fully coalescent. |
[in] | dx | COMPLEX_16 array of dimension at least ( 1 + ( n - 1 )*abs( INCX ) ). Before entry, the incremented array X must contain the n element vector x. |
[in] | incx | INTEGER. On entry, INCX specifies the increment for the elements of X. INCX must not be zero. |
[in] | beta | COMPLEX_16. On entry, BETA specifies the scalar beta. When BETA is supplied as zero then Y need not be set on input. |
[in,out] | dy | COMPLEX_16 array of dimension at least ( 1 + ( n - 1 )*abs( INCY ) ). Before entry, the incremented array Y must contain the n element vector y. On exit, Y is overwritten by the updated vector y. |
[in] | incy | INTEGER. On entry, INCY specifies the increment for the elements of Y. INCY must not be zero. |
magma_int_t magmablas_zhemv_mgpu | ( | magma_uplo_t | uplo, | |
magma_int_t | n, | |||
magmaDoubleComplex | alpha, | |||
magmaDoubleComplex_const_ptr const | d_lA[], | |||
magma_int_t | ldda, | |||
magma_int_t | offset, | |||
magmaDoubleComplex const * | x, | |||
magma_int_t | incx, | |||
magmaDoubleComplex | beta, | |||
magmaDoubleComplex * | y, | |||
magma_int_t | incy, | |||
magmaDoubleComplex * | hwork, | |||
magma_int_t | lhwork, | |||
magmaDoubleComplex_ptr | dwork[], | |||
magma_int_t | ldwork, | |||
magma_int_t | ngpu, | |||
magma_int_t | nb, | |||
magma_queue_t | queues[] | |||
) |
magmablas_zhemv_mgpu performs the matrix-vector operation:
y := alpha*A*x + beta*y,
where alpha and beta are scalars, x and y are n element vectors and A is an n by n Hermitian matrix.
[in] | uplo | magma_uplo_t. On entry, UPLO specifies whether the upper or lower triangular part of the array A is to be referenced as follows:
|
[in] | n | INTEGER. On entry, N specifies the order of the matrix A. N must be at least zero. |
[in] | alpha | COMPLEX_16. On entry, ALPHA specifies the scalar alpha. |
[in] | d_lA | Array of pointers, dimension (ngpu), to block-column distributed matrix A, with block size nb. d_lA[dev] is a COMPLEX_16 array on GPU dev, of dimension (LDDA, nlocal), where { floor(n/nb/ngpu)*nb + nb if dev < floor(n/nb) % ngpu, nlocal = { floor(n/nb/ngpu)*nb + nnb if dev == floor(n/nb) % ngpu, { floor(n/nb/ngpu)*nb otherwise. Before entry with UPLO = MagmaUpper, the leading n by n upper triangular part of the array A must contain the upper triangular part of the Hermitian matrix and the strictly lower triangular part of A is not referenced. Before entry with UPLO = MagmaLower, the leading n by n lower triangular part of the array A must contain the lower triangular part of the Hermitian matrix and the strictly upper triangular part of A is not referenced. Note that the imaginary parts of the diagonal elements need not be set and are assumed to be zero. |
[in] | offset | INTEGER. Row & column offset to start of matrix A within the distributed d_lA structure. Note that N is the size of this multiply, excluding the offset, so the size of the original parent matrix is N+offset. Also, x and y do not have an offset. |
[in] | ldda | INTEGER. On entry, LDDA specifies the first dimension of A as declared in the calling (sub) program. LDDA must be at least max( 1, n + offset ). It is recommended that ldda is multiple of 16. Otherwise performance would be deteriorated as the memory accesses would not be fully coalescent. |
[in] | x | COMPLEX_16 array **on the CPU** (not the GPU), of dimension at least ( 1 + ( n - 1 )*abs( INCX ) ). Before entry, the incremented array X must contain the n element vector x. |
[in] | incx | INTEGER. On entry, INCX specifies the increment for the elements of X. INCX must not be zero. |
[in] | beta | COMPLEX_16. On entry, BETA specifies the scalar beta. When BETA is supplied as zero then Y need not be set on input. |
[in,out] | y | COMPLEX_16 array **on the CPU** (not the GPU), of dimension at least ( 1 + ( n - 1 )*abs( INCY ) ). Before entry, the incremented array Y must contain the n element vector y. On exit, Y is overwritten by the updated vector y. |
[in] | incy | INTEGER. On entry, INCY specifies the increment for the elements of Y. INCY must not be zero. |
hwork | (workspace) COMPLEX_16 array on the CPU, of dimension (lhwork). | |
[in] | lhwork | INTEGER. The dimension of the array hwork. lhwork >= ngpu*nb. |
dwork | (workspaces) Array of pointers, dimension (ngpu), to workspace on each GPU. dwork[dev] is a COMPLEX_16 array on GPU dev, of dimension (ldwork). | |
[in] | ldwork | INTEGER. The dimension of each array dwork[dev]. ldwork >= ldda*( ceil((n + offset % nb) / nb) + 1 ). |
[in] | ngpu | INTEGER. The number of GPUs to use. |
[in] | nb | INTEGER. The block size used for distributing d_lA. Must be 64. |
[in] | queues | magma_queue_t array of dimension (ngpu). queues[dev] is an execution queue on GPU dev. |
magma_int_t magmablas_zhemv_mgpu_sync | ( | magma_uplo_t | uplo, | |
magma_int_t | n, | |||
magmaDoubleComplex | alpha, | |||
magmaDoubleComplex_const_ptr const | d_lA[], | |||
magma_int_t | ldda, | |||
magma_int_t | offset, | |||
magmaDoubleComplex const * | x, | |||
magma_int_t | incx, | |||
magmaDoubleComplex | beta, | |||
magmaDoubleComplex * | y, | |||
magma_int_t | incy, | |||
magmaDoubleComplex * | hwork, | |||
magma_int_t | lhwork, | |||
magmaDoubleComplex_ptr | dwork[], | |||
magma_int_t | ldwork, | |||
magma_int_t | ngpu, | |||
magma_int_t | nb, | |||
magma_queue_t | queues[] | |||
) |
Synchronizes and acculumates final zhemv result.
For convenience, the parameters are identical to magmablas_zhemv_mgpu (though some are unused here).
magma_int_t magmablas_zhemv_work | ( | magma_uplo_t | uplo, | |
magma_int_t | n, | |||
magmaDoubleComplex | alpha, | |||
magmaDoubleComplex_const_ptr | dA, | |||
magma_int_t | ldda, | |||
magmaDoubleComplex_const_ptr | dx, | |||
magma_int_t | incx, | |||
magmaDoubleComplex | beta, | |||
magmaDoubleComplex_ptr | dy, | |||
magma_int_t | incy, | |||
magmaDoubleComplex_ptr | dwork, | |||
magma_int_t | lwork, | |||
magma_queue_t | queue | |||
) |
magmablas_zhemv_work performs the matrix-vector operation:
y := alpha*A*x + beta*y,
where alpha and beta are scalars, x and y are n element vectors and A is an n by n Hermitian matrix.
[in] | uplo | magma_uplo_t. On entry, UPLO specifies whether the upper or lower triangular part of the array A is to be referenced as follows:
|
[in] | n | INTEGER. On entry, N specifies the order of the matrix A. N must be at least zero. |
[in] | alpha | COMPLEX_16. On entry, ALPHA specifies the scalar alpha. |
[in] | dA | COMPLEX_16 array of DIMENSION ( LDDA, n ). Before entry with UPLO = MagmaUpper, the leading n by n upper triangular part of the array A must contain the upper triangular part of the Hermitian matrix and the strictly lower triangular part of A is not referenced. Before entry with UPLO = MagmaLower, the leading n by n lower triangular part of the array A must contain the lower triangular part of the Hermitian matrix and the strictly upper triangular part of A is not referenced. Note that the imaginary parts of the diagonal elements need not be set and are assumed to be zero. |
[in] | ldda | INTEGER. On entry, LDDA specifies the first dimension of A as declared in the calling (sub) program. LDDA must be at least max( 1, n ). It is recommended that ldda is multiple of 16. Otherwise performance would be deteriorated as the memory accesses would not be fully coalescent. |
[in] | dx | COMPLEX_16 array of dimension at least ( 1 + ( n - 1 )*abs( INCX ) ). Before entry, the incremented array X must contain the n element vector x. |
[in] | incx | INTEGER. On entry, INCX specifies the increment for the elements of X. INCX must not be zero. |
[in] | beta | COMPLEX_16. On entry, BETA specifies the scalar beta. When BETA is supplied as zero then Y need not be set on input. |
[in,out] | dy | COMPLEX_16 array of dimension at least ( 1 + ( n - 1 )*abs( INCY ) ). Before entry, the incremented array Y must contain the n element vector y. On exit, Y is overwritten by the updated vector y. |
[in] | incy | INTEGER. On entry, INCY specifies the increment for the elements of Y. INCY must not be zero. |
[in] | dwork | (workspace) COMPLEX_16 array on the GPU, dimension (MAX(1, LWORK)), |
[in] | lwork | INTEGER. The dimension of the array DWORK. LWORK >= LDDA * ceil( N / NB_X ), where NB_X = 64. |
[in] | queue | magma_queue_t. Queue to execute in. |
MAGMA implements zhemv through two steps: 1) perform the multiplication in each thread block and put the intermediate value in dwork. 2) sum the intermediate values and store the final result in y.
magamblas_zhemv_work requires users to provide a workspace, while magmablas_zhemv is a wrapper routine allocating the workspace inside the routine and provides the same interface as cublas.
If users need to call zhemv frequently, we suggest using magmablas_zhemv_work instead of magmablas_zhemv. As the overhead to allocate and free in device memory in magmablas_zhemv would hurt performance. Our tests show that this penalty is about 10 Gflop/s when the matrix size is around 10000.
void magmablas_zswapblk | ( | magma_order_t | order, | |
magma_int_t | n, | |||
magmaDoubleComplex_ptr | dA, | |||
magma_int_t | ldda, | |||
magmaDoubleComplex_ptr | dB, | |||
magma_int_t | lddb, | |||
magma_int_t | i1, | |||
magma_int_t | i2, | |||
const magma_int_t * | ipiv, | |||
magma_int_t | inci, | |||
magma_int_t | offset | |||
) |
magma_int_t magmablas_zsymv | ( | magma_uplo_t | uplo, | |
magma_int_t | n, | |||
magmaDoubleComplex | alpha, | |||
magmaDoubleComplex_const_ptr | dA, | |||
magma_int_t | ldda, | |||
magmaDoubleComplex_const_ptr | dx, | |||
magma_int_t | incx, | |||
magmaDoubleComplex | beta, | |||
magmaDoubleComplex_ptr | dy, | |||
magma_int_t | incy | |||
) |
magmablas_zsymv performs the matrix-vector operation:
y := alpha*A*x + beta*y,
where alpha and beta are scalars, x and y are n element vectors and A is an n by n complex symmetric matrix.
[in] | uplo | magma_uplo_t. On entry, UPLO specifies whether the upper or lower triangular part of the array A is to be referenced as follows:
|
[in] | n | INTEGER. On entry, N specifies the order of the matrix A. N must be at least zero. |
[in] | alpha | COMPLEX_16. On entry, ALPHA specifies the scalar alpha. |
[in] | dA | COMPLEX_16 array of DIMENSION ( LDDA, n ). Before entry with UPLO = MagmaUpper, the leading n by n upper triangular part of the array A must contain the upper triangular part of the symmetric matrix and the strictly lower triangular part of A is not referenced. Before entry with UPLO = MagmaLower, the leading n by n lower triangular part of the array A must contain the lower triangular part of the symmetric matrix and the strictly upper triangular part of A is not referenced. Note that the imaginary parts of the diagonal elements need not be set and are assumed to be zero. |
[in] | ldda | INTEGER. On entry, LDDA specifies the first dimension of A as declared in the calling (sub) program. LDDA must be at least max( 1, n ). It is recommended that ldda is multiple of 16. Otherwise performance would be deteriorated as the memory accesses would not be fully coalescent. |
[in] | dx | COMPLEX_16 array of dimension at least ( 1 + ( n - 1 )*abs( INCX ) ). Before entry, the incremented array X must contain the n element vector x. |
[in] | incx | INTEGER. On entry, INCX specifies the increment for the elements of X. INCX must not be zero. |
[in] | beta | COMPLEX_16. On entry, BETA specifies the scalar beta. When BETA is supplied as zero then Y need not be set on input. |
[in,out] | dy | COMPLEX_16 array of dimension at least ( 1 + ( n - 1 )*abs( INCY ) ). Before entry, the incremented array Y must contain the n element vector y. On exit, Y is overwritten by the updated vector y. |
[in] | incy | INTEGER. On entry, INCY specifies the increment for the elements of Y. INCY must not be zero. |
magma_int_t magmablas_zsymv_work | ( | magma_uplo_t | uplo, | |
magma_int_t | n, | |||
magmaDoubleComplex | alpha, | |||
magmaDoubleComplex_const_ptr | dA, | |||
magma_int_t | ldda, | |||
magmaDoubleComplex_const_ptr | dx, | |||
magma_int_t | incx, | |||
magmaDoubleComplex | beta, | |||
magmaDoubleComplex_ptr | dy, | |||
magma_int_t | incy, | |||
magmaDoubleComplex_ptr | dwork, | |||
magma_int_t | lwork, | |||
magma_queue_t | queue | |||
) |
magmablas_zsymv_work performs the matrix-vector operation:
y := alpha*A*x + beta*y,
where alpha and beta are scalars, x and y are n element vectors and A is an n by n complex symmetric matrix.
[in] | uplo | magma_uplo_t. On entry, UPLO specifies whether the upper or lower triangular part of the array A is to be referenced as follows:
|
[in] | n | INTEGER. On entry, N specifies the order of the matrix A. N must be at least zero. |
[in] | alpha | COMPLEX_16. On entry, ALPHA specifies the scalar alpha. |
[in] | dA | COMPLEX_16 array of DIMENSION ( LDDA, n ). Before entry with UPLO = MagmaUpper, the leading n by n upper triangular part of the array A must contain the upper triangular part of the symmetric matrix and the strictly lower triangular part of A is not referenced. Before entry with UPLO = MagmaLower, the leading n by n lower triangular part of the array A must contain the lower triangular part of the symmetric matrix and the strictly upper triangular part of A is not referenced. Note that the imaginary parts of the diagonal elements need not be set and are assumed to be zero. |
[in] | ldda | INTEGER. On entry, LDDA specifies the first dimension of A as declared in the calling (sub) program. LDDA must be at least max( 1, n ). It is recommended that ldda is multiple of 16. Otherwise performance would be deteriorated as the memory accesses would not be fully coalescent. |
[in] | dx | COMPLEX_16 array of dimension at least ( 1 + ( n - 1 )*abs( INCX ) ). Before entry, the incremented array X must contain the n element vector x. |
[in] | incx | INTEGER. On entry, INCX specifies the increment for the elements of X. INCX must not be zero. |
[in] | beta | COMPLEX_16. On entry, BETA specifies the scalar beta. When BETA is supplied as zero then Y need not be set on input. |
[in,out] | dy | COMPLEX_16 array of dimension at least ( 1 + ( n - 1 )*abs( INCY ) ). Before entry, the incremented array Y must contain the n element vector y. On exit, Y is overwritten by the updated vector y. |
[in] | incy | INTEGER. On entry, INCY specifies the increment for the elements of Y. INCY must not be zero. |
[in] | dwork | (workspace) COMPLEX_16 array on the GPU, dimension (MAX(1, LWORK)), |
[in] | lwork | INTEGER. The dimension of the array DWORK. LWORK >= LDDA * ceil( N / NB_X ), where NB_X = 64. |
[in] | queue | magma_queue_t. Queue to execute in. |
MAGMA implements zsymv through two steps: 1) perform the multiplication in each thread block and put the intermediate value in dwork. 2) sum the intermediate values and store the final result in y.
magamblas_zsymv_work requires users to provide a workspace, while magmablas_zsymv is a wrapper routine allocating the workspace inside the routine and provides the same interface as cublas.
If users need to call zsymv frequently, we suggest using magmablas_zsymv_work instead of magmablas_zsymv. As the overhead to allocate and free in device memory in magmablas_zsymv would hurt performance. Our tests show that this penalty is about 10 Gflop/s when the matrix size is around 10000.