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MAGMA
1.5.0
Matrix Algebra for GPU and Multicore Architectures
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Functions | |
magma_int_t | magma_znan_inf (magma_uplo_t uplo, magma_int_t m, magma_int_t n, const magmaDoubleComplex *A, magma_int_t lda, magma_int_t *cnt_nan, magma_int_t *cnt_inf) |
magma_znan_inf checks a matrix that is located on the CPU host for NAN (not-a-number) and INF (infinity) values. More... | |
magma_int_t | magma_znan_inf_gpu (magma_uplo_t uplo, magma_int_t m, magma_int_t n, const magmaDoubleComplex *dA, magma_int_t ldda, magma_int_t *cnt_nan, magma_int_t *cnt_inf) |
magma_znan_inf checks a matrix that is located on the CPU host for NAN (not-a-number) and INF (infinity) values. More... | |
void | magma_zprint (magma_int_t m, magma_int_t n, const magmaDoubleComplex *A, magma_int_t lda) |
magma_zprint prints a matrix that is located on the CPU host. More... | |
void | magma_zprint_gpu (magma_int_t m, magma_int_t n, const magmaDoubleComplex *dA, magma_int_t ldda) |
magma_zprint_gpu prints a matrix that is located on the GPU device. More... | |
void | magmablas_zclaswp (magma_int_t n, magmaDoubleComplex *a, magma_int_t lda, magmaFloatComplex *sa, magma_int_t m, const magma_int_t *ipiv, magma_int_t incx) |
Row i of A is cast to single precision in row ipiv[i] of SA, for 0 <= i < M. More... | |
void | magmablas_zgeadd (magma_int_t m, magma_int_t n, magmaDoubleComplex alpha, const magmaDoubleComplex *dA, magma_int_t ldda, magmaDoubleComplex *dB, magma_int_t lddb) |
ZGEADD adds two matrices, dB = alpha*dA + dB. More... | |
void | magmablas_zgeadd_batched (magma_int_t m, magma_int_t n, magmaDoubleComplex alpha, const magmaDoubleComplex *const *dAarray, magma_int_t ldda, magmaDoubleComplex **dBarray, magma_int_t lddb, magma_int_t batchCount) |
ZGEADD adds two sets of matrices, dAarray[i] = alpha*dAarray[i] + dBarray[i], for i = 0, ..., batchCount-1. More... | |
void | magmablas_zlacpy (magma_uplo_t uplo, magma_int_t m, magma_int_t n, const magmaDoubleComplex *dA, magma_int_t ldda, magmaDoubleComplex *dB, magma_int_t lddb) |
NoteMore... | |
void | magmablas_zlacpy_batched (magma_uplo_t uplo, magma_int_t m, magma_int_t n, const magmaDoubleComplex *const *dAarray, magma_int_t ldda, magmaDoubleComplex **dBarray, magma_int_t lddb, magma_int_t batchCount) |
NoteMore... | |
void | magmablas_zlag2c (magma_int_t m, magma_int_t n, const magmaDoubleComplex *A, magma_int_t lda, magmaFloatComplex *SA, magma_int_t ldsa, magma_int_t *info) |
ZLAG2C converts a double-complex matrix, A, to a single-complex matrix, SA. More... | |
double | magmablas_zlange (magma_norm_t norm, magma_int_t m, magma_int_t n, const magmaDoubleComplex *A, magma_int_t lda, double *dwork) |
ZLANGE returns the value of the one norm, or the Frobenius norm, or the infinity norm, or the element of largest absolute value of a real matrix A. More... | |
double | magmablas_zlanhe (magma_norm_t norm, magma_uplo_t uplo, magma_int_t n, const magmaDoubleComplex *A, magma_int_t lda, double *dwork) |
ZLANHE returns the value of the one norm, or the Frobenius norm, or the infinity norm, or the element of largest absolute value of a complex Hermitian matrix A. More... | |
void | magmablas_zlaset_stream (magma_uplo_t uplo, magma_int_t m, magma_int_t n, magmaDoubleComplex offdiag, magmaDoubleComplex diag, magmaDoubleComplex *dA, magma_int_t ldda, magma_queue_t stream) |
ZLASET_STREAM initializes a 2-D array A to DIAG on the diagonal and OFFDIAG on the off-diagonals. More... | |
void | magmablas_zlaset (magma_uplo_t uplo, magma_int_t m, magma_int_t n, magmaDoubleComplex offdiag, magmaDoubleComplex diag, magmaDoubleComplex *dA, magma_int_t ldda) |
void | magmablas_zlaset_band_stream (magma_uplo_t uplo, magma_int_t m, magma_int_t n, magma_int_t k, magmaDoubleComplex offdiag, magmaDoubleComplex diag, magmaDoubleComplex *dA, magma_int_t ldda, magma_queue_t stream) |
ZLASET_BAND_STREAM initializes the main diagonal of dA to DIAG, and the K-1 sub- or super-diagonals to OFFDIAG. More... | |
void | magmablas_zlaset_band (magma_uplo_t uplo, magma_int_t m, magma_int_t n, magma_int_t k, magmaDoubleComplex offdiag, magmaDoubleComplex diag, magmaDoubleComplex *dA, magma_int_t ldda) |
void | magmablas_zswapdblk (magma_int_t n, magma_int_t nb, magmaDoubleComplex *dA1, magma_int_t ldda1, magma_int_t inca1, magmaDoubleComplex *dA2, magma_int_t ldda2, magma_int_t inca2) |
This is an auxiliary MAGMA routine. More... | |
void | magmablas_zsymmetrize (magma_uplo_t uplo, magma_int_t m, magmaDoubleComplex *dA, magma_int_t ldda) |
ZSYMMETRIZE copies lower triangle to upper triangle, or vice-versa, to make dA a general representation of a symmetric matrix. More... | |
void | magmablas_zsymmetrize_tiles (magma_uplo_t uplo, magma_int_t m, magmaDoubleComplex *dA, magma_int_t ldda, magma_int_t ntile, magma_int_t mstride, magma_int_t nstride) |
ZSYMMETRIZE_TILES copies lower triangle to upper triangle, or vice-versa, to make some blocks of dA into general representations of a symmetric block. More... | |
void | magmablas_ztranspose_stream (magma_int_t m, magma_int_t n, const magmaDoubleComplex *dA, magma_int_t ldda, magmaDoubleComplex *dAT, magma_int_t lddat, magma_queue_t stream) |
ztranspose_stream copies and transposes a matrix dA to matrix dAT. More... | |
void | magmablas_ztranspose (magma_int_t m, magma_int_t n, const magmaDoubleComplex *dA, magma_int_t ldda, magmaDoubleComplex *dAT, magma_int_t lddat) |
void | magmablas_ztranspose_inplace_stream (magma_int_t n, magmaDoubleComplex *dA, magma_int_t ldda, magma_queue_t stream) |
ztranspose_inplace_stream transposes a square N-by-N matrix in-place. More... | |
void | magmablas_ztranspose_inplace (magma_int_t n, magmaDoubleComplex *dA, magma_int_t ldda) |
magma_int_t magma_znan_inf | ( | magma_uplo_t | uplo, |
magma_int_t | m, | ||
magma_int_t | n, | ||
const magmaDoubleComplex * | A, | ||
magma_int_t | lda, | ||
magma_int_t * | cnt_nan, | ||
magma_int_t * | cnt_inf | ||
) |
magma_znan_inf checks a matrix that is located on the CPU host for NAN (not-a-number) and INF (infinity) values.
NAN is created by 0/0 and similar. INF is created by x/0 and similar, where x != 0.
[in] | uplo | magma_uplo_t Specifies what part of the matrix A to check.
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[in] | m | INTEGER The number of rows of the matrix A. M >= 0. |
[in] | n | INTEGER The number of columns of the matrix A. N >= 0. |
[in] | A | COMPLEX_16 array, dimension (LDA,N), on the CPU host. The M-by-N matrix to be printed. |
[in] | lda | INTEGER The leading dimension of the array A. LDA >= max(1,M). |
[out] | cnt_nan | INTEGER* If non-NULL, on exit contains the number of NAN values in A. |
[out] | cnt_inf | INTEGER* If non-NULL, on exit contains the number of INF values in A. |
magma_int_t magma_znan_inf_gpu | ( | magma_uplo_t | uplo, |
magma_int_t | m, | ||
magma_int_t | n, | ||
const magmaDoubleComplex * | dA, | ||
magma_int_t | ldda, | ||
magma_int_t * | cnt_nan, | ||
magma_int_t * | cnt_inf | ||
) |
magma_znan_inf checks a matrix that is located on the CPU host for NAN (not-a-number) and INF (infinity) values.
NAN is created by 0/0 and similar. INF is created by x/0 and similar, where x != 0.
[in] | uplo | magma_uplo_t Specifies what part of the matrix A to check.
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[in] | m | INTEGER The number of rows of the matrix A. M >= 0. |
[in] | n | INTEGER The number of columns of the matrix A. N >= 0. |
[in,out] | dA | COMPLEX_16 array, dimension (LDDA,N), on the GPU device. The M-by-N matrix to be printed. |
[in] | ldda | INTEGER The leading dimension of the array A. LDDA >= max(1,M). |
[out] | cnt_nan | INTEGER* If non-NULL, on exit contains the number of NAN values in A. |
[out] | cnt_inf | INTEGER* If non-NULL, on exit contains the number of INF values in A. |
void magma_zprint | ( | magma_int_t | m, |
magma_int_t | n, | ||
const magmaDoubleComplex * | A, | ||
magma_int_t | lda | ||
) |
magma_zprint prints a matrix that is located on the CPU host.
The output is intended to be Matlab compatible, to be useful in debugging.
[in] | m | INTEGER The number of rows of the matrix A. M >= 0. |
[in] | n | INTEGER The number of columns of the matrix A. N >= 0. |
[in] | A | COMPLEX_16 array, dimension (LDA,N), on the CPU host. The M-by-N matrix to be printed. |
[in] | lda | INTEGER The leading dimension of the array A. LDA >= max(1,M). |
void magma_zprint_gpu | ( | magma_int_t | m, |
magma_int_t | n, | ||
const magmaDoubleComplex * | dA, | ||
magma_int_t | ldda | ||
) |
magma_zprint_gpu prints a matrix that is located on the GPU device.
Internally, it allocates CPU memory and copies the matrix to the CPU. The output is intended to be Matlab compatible, to be useful in debugging.
[in] | m | INTEGER The number of rows of the matrix A. M >= 0. |
[in] | n | INTEGER The number of columns of the matrix A. N >= 0. |
[in] | dA | COMPLEX_16 array, dimension (LDDA,N), on the GPU device. The M-by-N matrix to be printed. |
[in] | ldda | INTEGER The leading dimension of the array A. LDDA >= max(1,M). |
void magmablas_zclaswp | ( | magma_int_t | n, |
magmaDoubleComplex * | a, | ||
magma_int_t | lda, | ||
magmaFloatComplex * | sa, | ||
magma_int_t | m, | ||
const magma_int_t * | ipiv, | ||
magma_int_t | incx | ||
) |
Row i of A is cast to single precision in row ipiv[i] of SA, for 0 <= i < M.
N - (input) INTEGER. On entry, N specifies the number of columns of the matrix A.
A - (input) DOUBLE PRECISION array on the GPU, dimension (LDA,N) On entry, the M-by-N matrix to which the row interchanges will be applied.
LDA - (input) INTEGER. LDA specifies the leading dimension of A.
SA - (output) REAL array on the GPU, dimension (LDA,N) On exit, the single precision, permuted matrix.
M - (input) The number of rows to be interchanged.
IPIV - (input) INTEGER array on the GPU, dimension (M) The vector of pivot indices. Row i of A is cast to single precision in row ipiv[i] of SA, for 0 <= i < m.
INCX - (input) INTEGER If IPIV is negative, the pivots are applied in reverse order, otherwise in straight-forward order.
void magmablas_zgeadd | ( | magma_int_t | m, |
magma_int_t | n, | ||
magmaDoubleComplex | alpha, | ||
const magmaDoubleComplex * | dA, | ||
magma_int_t | ldda, | ||
magmaDoubleComplex * | dB, | ||
magma_int_t | lddb | ||
) |
ZGEADD adds two matrices, dB = alpha*dA + dB.
[in] | m | INTEGER The number of rows of the matrix dA. M >= 0. |
[in] | n | INTEGER The number of columns of the matrix dA. N >= 0. |
[in] | alpha | COMPLEX_16 The scalar alpha. |
[in] | dA | COMPLEX_16 array, dimension (LDDA,N) The m by n matrix dA. |
[in] | ldda | INTEGER The leading dimension of the array dA. LDDA >= max(1,M). |
[in,out] | dB | COMPLEX_16 array, dimension (LDDB,N) The m by n matrix dB. |
[in] | lddb | INTEGER The leading dimension of the array dB. LDDB >= max(1,M). |
void magmablas_zgeadd_batched | ( | magma_int_t | m, |
magma_int_t | n, | ||
magmaDoubleComplex | alpha, | ||
const magmaDoubleComplex *const * | dAarray, | ||
magma_int_t | ldda, | ||
magmaDoubleComplex ** | dBarray, | ||
magma_int_t | lddb, | ||
magma_int_t | batchCount | ||
) |
ZGEADD adds two sets of matrices, dAarray[i] = alpha*dAarray[i] + dBarray[i], for i = 0, ..., batchCount-1.
[in] | m | INTEGER The number of rows of each matrix dAarray[i]. M >= 0. |
[in] | n | INTEGER The number of columns of each matrix dAarray[i]. N >= 0. |
[in] | alpha | COMPLEX_16 The scalar alpha. |
[in] | dAarray | array on GPU, dimension(batchCount), of pointers to arrays, with each array a COMPLEX_16 array, dimension (LDDA,N) The m by n matrices dAarray[i]. |
[in] | ldda | INTEGER The leading dimension of each array dAarray[i]. LDDA >= max(1,M). |
[in,out] | dBarray | array on GPU, dimension(batchCount), of pointers to arrays, with each array a COMPLEX_16 array, dimension (LDDB,N) The m by n matrices dBarray[i]. |
[in] | lddb | INTEGER The leading dimension of each array dBarray[i]. LDDB >= max(1,M). |
[in] | batchCount | INTEGER The number of matrices to add; length of dAarray and dBarray. batchCount >= 0. |
void magmablas_zlacpy | ( | magma_uplo_t | uplo, |
magma_int_t | m, | ||
magma_int_t | n, | ||
const magmaDoubleComplex * | dA, | ||
magma_int_t | ldda, | ||
magmaDoubleComplex * | dB, | ||
magma_int_t | lddb | ||
) |
ZLACPY copies all or part of a two-dimensional matrix dA to another matrix dB.
[in] | uplo | magma_uplo_t Specifies the part of the matrix dA to be copied to dB.
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[in] | m | INTEGER The number of rows of the matrix dA. M >= 0. |
[in] | n | INTEGER The number of columns of the matrix dA. N >= 0. |
[in] | dA | COMPLEX_16 array, dimension (LDDA,N) The m by n matrix dA. If UPLO = MagmaUpper, only the upper triangle or trapezoid is accessed; if UPLO = MagmaLower, only the lower triangle or trapezoid is accessed. |
[in] | ldda | INTEGER The leading dimension of the array dA. LDDA >= max(1,M). |
[out] | dB | COMPLEX_16 array, dimension (LDDB,N) The m by n matrix dB. On exit, dB = dA in the locations specified by UPLO. |
[in] | lddb | INTEGER The leading dimension of the array dB. LDDB >= max(1,M). |
void magmablas_zlacpy_batched | ( | magma_uplo_t | uplo, |
magma_int_t | m, | ||
magma_int_t | n, | ||
const magmaDoubleComplex *const * | dAarray, | ||
magma_int_t | ldda, | ||
magmaDoubleComplex ** | dBarray, | ||
magma_int_t | lddb, | ||
magma_int_t | batchCount | ||
) |
ZLACPY copies all or part of a set of two-dimensional matrices dAarray[i] to another set of matrices dBarray[i], for i = 0, ..., batchCount-1.
[in] | uplo | magma_uplo_t Specifies the part of each matrix dAarray[i] to be copied to dBarray[i].
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[in] | m | INTEGER The number of rows of each matrix dAarray[i]. M >= 0. |
[in] | n | INTEGER The number of columns of each matrix dAarray[i]. N >= 0. |
[in] | dAarray | array on GPU, dimension(batchCount), of pointers to arrays, with each array a COMPLEX_16 array, dimension (LDDA,N) The m by n matrices dAarray[i]. If UPLO = MagmaUpper, only the upper triangle or trapezoid is accessed; if UPLO = MagmaLower, only the lower triangle or trapezoid is accessed. |
[in] | ldda | INTEGER The leading dimension of each array dAarray[i]. LDDA >= max(1,M). |
[out] | dBarray | array on GPU, dimension(batchCount), of pointers to arrays, with each array a COMPLEX_16 array, dimension (LDDB,N) The m by n matrices dBarray[i]. On exit, matrix dBarray[i] = matrix dAarray[i] in the locations specified by UPLO. |
[in] | lddb | INTEGER The leading dimension of each array dBarray[i]. LDDB >= max(1,M). |
[in] | batchCount | INTEGER The number of matrices to add; length of dAarray and dBarray. batchCount >= 0. |
void magmablas_zlag2c | ( | magma_int_t | m, |
magma_int_t | n, | ||
const magmaDoubleComplex * | A, | ||
magma_int_t | lda, | ||
magmaFloatComplex * | SA, | ||
magma_int_t | ldsa, | ||
magma_int_t * | info | ||
) |
ZLAG2C converts a double-complex matrix, A, to a single-complex matrix, SA.
RMAX is the overflow for the single-complex arithmetic. ZLAG2C checks that all the entries of A are between -RMAX and RMAX. If not, the conversion is aborted and a flag is raised.
[in] | m | INTEGER The number of lines of the matrix A. m >= 0. |
[in] | n | INTEGER The number of columns of the matrix A. n >= 0. |
[in] | A | COMPLEX_16 array, dimension (LDA,n) On entry, the m-by-n coefficient matrix A. |
[in] | lda | INTEGER The leading dimension of the array A. LDA >= max(1,m). |
[out] | SA | COMPLEX array, dimension (LDSA,n) On exit, if INFO=0, the m-by-n coefficient matrix SA; if INFO>0, the content of SA is unspecified. |
[in] | ldsa | INTEGER The leading dimension of the array SA. LDSA >= max(1,m). |
[out] | info | INTEGER
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double magmablas_zlange | ( | magma_norm_t | norm, |
magma_int_t | m, | ||
magma_int_t | n, | ||
const magmaDoubleComplex * | A, | ||
magma_int_t | lda, | ||
double * | dwork | ||
) |
ZLANGE returns the value of the one norm, or the Frobenius norm, or the infinity norm, or the element of largest absolute value of a real matrix A.
ZLANGE returns the value
ZLANGE = ( max(abs(A(i,j))), NORM = 'M' or 'm' ** not yet supported ( ( norm1(A), NORM = '1', 'O' or 'o' ** not yet supported ( ( normI(A), NORM = 'I' or 'i' ( ( normF(A), NORM = 'F', 'f', 'E' or 'e' ** not yet supported
where norm1 denotes the one norm of a matrix (maximum column sum), normI denotes the infinity norm of a matrix (maximum row sum) and normF denotes the Frobenius norm of a matrix (square root of sum of squares). Note that max(abs(A(i,j))) is not a consistent matrix norm.
[in] | norm | CHARACTER*1 Specifies the value to be returned in ZLANGE as described above. |
[in] | m | INTEGER The number of rows of the matrix A. M >= 0. When M = 0, ZLANGE is set to zero. |
[in] | n | INTEGER The number of columns of the matrix A. N >= 0. When N = 0, ZLANGE is set to zero. |
[in] | A | DOUBLE PRECISION array on the GPU, dimension (LDA,N) The m by n matrix A. |
[in] | lda | INTEGER The leading dimension of the array A. LDA >= max(M,1). |
dwork | (workspace) DOUBLE PRECISION array on the GPU, dimension (MAX(1,LWORK)), where LWORK >= M when NORM = 'I'; otherwise, WORK is not referenced. |
double magmablas_zlanhe | ( | magma_norm_t | norm, |
magma_uplo_t | uplo, | ||
magma_int_t | n, | ||
const magmaDoubleComplex * | A, | ||
magma_int_t | lda, | ||
double * | dwork | ||
) |
ZLANHE returns the value of the one norm, or the Frobenius norm, or the infinity norm, or the element of largest absolute value of a complex Hermitian matrix A.
ZLANHE = ( max(abs(A(i,j))), NORM = 'M' or 'm' ( ( norm1(A), NORM = '1', 'O' or 'o' ** supported only for (PRECISION_s || PRECISION_d || PRECISION_c || CUDA_ARCH >= 200) ( ( normI(A), NORM = 'I' or 'i' ** supported only for (PRECISION_s || PRECISION_d || PRECISION_c || CUDA_ARCH >= 200) ( ( normF(A), NORM = 'F', 'f', 'E' or 'e' ** not yet supported
where norm1 denotes the one norm of a matrix (maximum column sum), normI denotes the infinity norm of a matrix (maximum row sum) and normF denotes the Frobenius norm of a matrix (square root of sum of squares). Note that max(abs(A(i,j))) is not a consistent matrix norm.
Returns ZLANHE < 0: if ZLANHE = -i, the i-th argument had an illegal value.
[in] | norm | CHARACTER*1 Specifies the value to be returned in ZLANHE as described above. |
[in] | uplo | magma_uplo_t Specifies whether the upper or lower triangular part of the Hermitian matrix A is to be referenced.
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[in] | n | INTEGER The order of the matrix A. N >= 0. When N = 0, ZLANHE is set to zero. |
[in] | A | COMPLEX*16 array on the GPU, dimension (LDA,N) 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. Note that the imaginary parts of the diagonal elements need not be set and are assumed to be zero. |
[in] | lda | INTEGER The leading dimension of the array A. LDA >= max(N,1). |
dwork | (workspace) DOUBLE PRECISION array on the GPU, dimension (MAX(1,LWORK)), where LWORK >= N. NOTE: this is different than LAPACK, where WORK is required only for norm1 and normI. Here max-norm also requires work. |
void magmablas_zlaset | ( | magma_uplo_t | uplo, |
magma_int_t | m, | ||
magma_int_t | n, | ||
magmaDoubleComplex | offdiag, | ||
magmaDoubleComplex | diag, | ||
magmaDoubleComplex * | dA, | ||
magma_int_t | ldda | ||
) |
void magmablas_zlaset_band | ( | magma_uplo_t | uplo, |
magma_int_t | m, | ||
magma_int_t | n, | ||
magma_int_t | k, | ||
magmaDoubleComplex | offdiag, | ||
magmaDoubleComplex | diag, | ||
magmaDoubleComplex * | dA, | ||
magma_int_t | ldda | ||
) |
void magmablas_zlaset_band_stream | ( | magma_uplo_t | uplo, |
magma_int_t | m, | ||
magma_int_t | n, | ||
magma_int_t | k, | ||
magmaDoubleComplex | offdiag, | ||
magmaDoubleComplex | diag, | ||
magmaDoubleComplex * | dA, | ||
magma_int_t | ldda, | ||
magma_queue_t | stream | ||
) |
ZLASET_BAND_STREAM initializes the main diagonal of dA to DIAG, and the K-1 sub- or super-diagonals to OFFDIAG.
This is the same as ZLASET_BAND, but adds stream argument.
[in] | uplo | magma_uplo_t Specifies the part of the matrix dA to be set.
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[in] | m | INTEGER The number of rows of the matrix dA. M >= 0. |
[in] | n | INTEGER The number of columns of the matrix dA. N >= 0. |
[in] | k | INTEGER The number of diagonals to set, including the main diagonal. K >= 0. Currently, K <= 1024 due to CUDA restrictions (max. number of threads per block). |
[in] | offdiag | COMPLEX_16 Off-diagonal elements in the band are set to OFFDIAG. |
[in] | diag | COMPLEX_16 All the main diagonal elements are set to DIAG. |
[in] | dA | COMPLEX_16 array, dimension (LDDA,N) The M-by-N matrix dA. If UPLO = MagmaUpper, only the upper triangle or trapezoid is accessed; if UPLO = MagmaLower, only the lower triangle or trapezoid is accessed. On exit, A(i,j) = ALPHA, 1 <= i <= m, 1 <= j <= n where i != j, abs(i-j) < k; A(i,i) = BETA , 1 <= i <= min(m,n) |
[in] | ldda | INTEGER The leading dimension of the array dA. LDDA >= max(1,M). |
[in] | stream | magma_queue_t Stream to execute ZLASET in. |
void magmablas_zlaset_stream | ( | magma_uplo_t | uplo, |
magma_int_t | m, | ||
magma_int_t | n, | ||
magmaDoubleComplex | offdiag, | ||
magmaDoubleComplex | diag, | ||
magmaDoubleComplex * | dA, | ||
magma_int_t | ldda, | ||
magma_queue_t | stream | ||
) |
ZLASET_STREAM initializes a 2-D array A to DIAG on the diagonal and OFFDIAG on the off-diagonals.
This is the same as ZLASET, but adds stream argument.
[in] | uplo | magma_uplo_t Specifies the part of the matrix dA to be set.
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[in] | m | INTEGER The number of rows of the matrix dA. M >= 0. |
[in] | n | INTEGER The number of columns of the matrix dA. N >= 0. |
[in] | offdiag | COMPLEX_16 The scalar OFFDIAG. (In LAPACK this is called ALPHA.) |
[in] | diag | COMPLEX_16 The scalar DIAG. (In LAPACK this is called BETA.) |
[in] | dA | COMPLEX_16 array, dimension (LDDA,N) The M-by-N matrix dA. If UPLO = MagmaUpper, only the upper triangle or trapezoid is accessed; if UPLO = MagmaLower, only the lower triangle or trapezoid is accessed. On exit, A(i,j) = OFFDIAG, 1 <= i <= m, 1 <= j <= n, i != j; A(i,i) = DIAG, 1 <= i <= min(m,n) |
[in] | ldda | INTEGER The leading dimension of the array dA. LDDA >= max(1,M). |
[in] | stream | magma_queue_t Stream to execute in. |
void magmablas_zswapdblk | ( | magma_int_t | n, |
magma_int_t | nb, | ||
magmaDoubleComplex * | dA1, | ||
magma_int_t | ldda1, | ||
magma_int_t | inca1, | ||
magmaDoubleComplex * | dA2, | ||
magma_int_t | ldda2, | ||
magma_int_t | inca2 | ||
) |
This is an auxiliary MAGMA routine.
It swaps diagonal blocks of size nb x nb between matrices dA1 and dA2 on the GPU.
The number of blocks swapped is (n-1)/nb. For i = 1 .. (n-1)/nb matrices dA1 + i * nb * (ldda1 + inca1) and dA2 + i * nb * (ldda2 + inca2) are swapped.
void magmablas_zsymmetrize | ( | magma_uplo_t | uplo, |
magma_int_t | m, | ||
magmaDoubleComplex * | dA, | ||
magma_int_t | ldda | ||
) |
ZSYMMETRIZE copies lower triangle to upper triangle, or vice-versa, to make dA a general representation of a symmetric matrix.
[in] | uplo | magma_uplo_t Specifies the part of the matrix dA that is valid on input.
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[in] | m | INTEGER The number of rows of the matrix dA. M >= 0. |
[in,out] | dA | COMPLEX_16 array, dimension (LDDA,N) The m by m matrix dA. |
[in] | ldda | INTEGER The leading dimension of the array dA. LDDA >= max(1,M). |
void magmablas_zsymmetrize_tiles | ( | magma_uplo_t | uplo, |
magma_int_t | m, | ||
magmaDoubleComplex * | dA, | ||
magma_int_t | ldda, | ||
magma_int_t | ntile, | ||
magma_int_t | mstride, | ||
magma_int_t | nstride | ||
) |
ZSYMMETRIZE_TILES copies lower triangle to upper triangle, or vice-versa, to make some blocks of dA into general representations of a symmetric block.
This processes NTILE blocks, typically the diagonal blocks. Each block is offset by mstride rows and nstride columns from the previous block.
[in] | uplo | magma_uplo_t Specifies the part of the matrix dA that is valid on input.
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[in] | m | INTEGER The number of rows & columns of each square block of dA. M >= 0. |
[in,out] | dA | COMPLEX_16 array, dimension (LDDA,N) The matrix dA. N = m + nstride*(ntile-1). |
[in] | ldda | INTEGER The leading dimension of the array dA. LDDA >= max(1, m + mstride*(ntile-1)). |
[in] | ntile | INTEGER Number of blocks to symmetrize. |
[in] | mstride | INTEGER Row offset from start of one block to start of next block. |
[in] | nstride | INTEGER Column offset from start of one block to start of next block. |
void magmablas_ztranspose | ( | magma_int_t | m, |
magma_int_t | n, | ||
const magmaDoubleComplex * | dA, | ||
magma_int_t | ldda, | ||
magmaDoubleComplex * | dAT, | ||
magma_int_t | lddat | ||
) |
void magmablas_ztranspose_inplace | ( | magma_int_t | n, |
magmaDoubleComplex * | dA, | ||
magma_int_t | ldda | ||
) |
void magmablas_ztranspose_inplace_stream | ( | magma_int_t | n, |
magmaDoubleComplex * | dA, | ||
magma_int_t | ldda, | ||
magma_queue_t | stream | ||
) |
ztranspose_inplace_stream transposes a square N-by-N matrix in-place.
Same as ztranspose_inplace, but adds stream argument.
[in] | n | INTEGER The number of rows & columns of the matrix dA. N >= 0. |
[in] | dA | COMPLEX_16 array, dimension (LDDA,N) The N-by-N matrix dA. On exit, dA(j,i) = dA_original(i,j), for 0 <= i,j < N. |
[in] | ldda | INTEGER The leading dimension of the array dA. LDDA >= N. |
[in] | stream | magma_queue_t Stream to execute in. |
void magmablas_ztranspose_stream | ( | magma_int_t | m, |
magma_int_t | n, | ||
const magmaDoubleComplex * | dA, | ||
magma_int_t | ldda, | ||
magmaDoubleComplex * | dAT, | ||
magma_int_t | lddat, | ||
magma_queue_t | stream | ||
) |
ztranspose_stream copies and transposes a matrix dA to matrix dAT.
Same as ztranspose, but adds stream argument.
[in] | m | INTEGER The number of rows of the matrix dA. M >= 0. |
[in] | n | INTEGER The number of columns of the matrix dA. N >= 0. |
[in] | dA | COMPLEX_16 array, dimension (LDDA,N) The M-by-N matrix dA. |
[in] | ldda | INTEGER The leading dimension of the array dA. LDDA >= M. |
[in] | dAT | COMPLEX_16 array, dimension (LDDA,N) The N-by-M matrix dAT. |
[in] | lddat | INTEGER The leading dimension of the array dAT. LDDAT >= N. |
[in] | stream | magma_queue_t Stream to execute in. |