Functions
template<typename T >
void	GEMV (const char transA, const int m, const int n, const T &a1, const T A, const int ldA, const T x, const int incX, const T &a2, T y, const int incY)
	GEneral Matrix Vector product (Level 2 BLAS). More...

template<>
void	GEMV< double > (const char transA, const int m, const int n, const double &a1, const double A, const int ldA, const double x, const int incX, const double &a2, double y, const int incY)
	GEneral Matrix Vector product specialization for double. More...

template<typename T >
void	GEMM (const char transA, const char transB, const int m, const int n, const int k, const T &a1, const T A, const int ldA, const T B, const int ldB, const T &a2, T *C, const int ldC)
	GEneral Matrix Matrix product (Level 3 BLAS). More...

template<>
void	GEMM< double > (const char transA, const char transB, const int m, const int n, const int k, const double &a1, const double A, const int ldA, const double B, const int ldB, const double &a2, double *C, const int ldC)
	GEneral Matrix Matrix product specialization for double. More...

template<typename T >
void	SYRK (const char uplo, const char trans, const int n, const int k, const T &a1, const T A, const int ldA, const T &a2, T C, const int ldC)
	SYmmetric Rank K update of symmetric matrix (Level 3 BLAS) More...

template<>
void	SYRK< double > (const char uplo, const char trans, const int n, const int k, const double &a1, const double A, const int ldA, const double &a2, double C, const int ldC)
	SYmmetric Rank K update of symmetric matrix specialization for double. More...

template<typename T >
void	TRMM (const char side, const char uplo, const char transA, const char diag, const int m, const int n, const T &a, const T A, const int ldA, T B, const int ldB)
	TRiangular Matrix Matrix product (Level 2 BLAS) More...

template<>
void	TRMM< double > (const char side, const char uplo, const char transA, const char diag, const int m, const int n, const double &a, const double A, const int ldA, double B, const int ldB)
	TRiangular Matrix Matrix product specialization for double. More...

template<typename T >
void	GEQRF (const int m, const int n, T A, const int ld, T tau, T *work, const int lwork, int &info)
	GEneral matrix QR Factorization (LAPACK) More...

template<>
void	GEQRF< double > (const int m, const int n, double A, const int ld, double tau, double *work, const int lwork, int &info)
	GEneral matrix QR Factorization specialization for double. More...

template<typename T >
void	ORGQR (const int m, const int n, const int k, T A, const int ld, const T tau, T *work, const int lwork, int &info)
	ORthogonal matrix Generator from QR factorization (LAPACK). More...

template<>
void	ORGQR< double > (const int m, const int n, const int k, double A, const int ld, const double tau, double *work, const int lwork, int &info)
	ORthogonal matrix Generator from QR factorization specialization for double. More...

template<typename T >
void	GETRF (const int m, const int n, T A, const int ld, int ipiv, int &info)
	GEneral matrix TRiangular Factorization (LAPACK). More...

template<>
void	GETRF< double > (const int m, const int n, double A, const int ld, int ipiv, int &info)
	GEneral matrix TRiangular Factorization specialization for double. More...

template<typename T >
void	GETRI (const int n, T A, const int ld, const int ipiv, T *work, int lwork, int &info)
	GEneral matrix TRiangular Inversion (LAPACK). More...

template<>
void	GETRI (const int n, double A, const int ld, const int ipiv, double *work, int lwork, int &info)
	GEneral matrix TRiangular Inversion specialization for double. More...

Function Documentation

template<typename T >

void Opm::BLAS_LAPACK::GEMM	(	const char *	transA,
		const char *	transB,
		const int	m,
		const int	n,
		const int	k,
		const T &	a1,
		const T *	A,
		const int	ldA,
		const T *	B,
		const int	ldB,
		const T &	a2,
		T *	C,
		const int	ldC
	)

GEneral Matrix Matrix product (Level 3 BLAS).

Template Parameters

T	Element type of matrix.

Double precision general matrix-matrix product matrix update. Specifically, $C \leftarrow a_1 \mathrm{op}(A) \mathrm{op}(B) + a_2 C$ .

Parameters

[in]	transA	Specifcation of $\mathrm{op}$ . transA = 'N' yields $\mathrm{op}(A) = A$ while transA = 'T' yields $\mathrm{op}(A) = A^{\mathsf{T}}$ .
[in]	transB	Specifcation of $\mathrm{op}$ . transB = 'N' yields $\mathrm{op}(B) = A$ while transB = 'T' yields $\mathrm{op}(B) = B^{\mathsf{T}}$ .
[in]	m	Number of rows of matrix $\mathrm{op}(A)$ and of matrix .
[in]	n	Number of columns of matrix $\mathrm{op}(B)$ and of matrix .
[in]	k	Number of columns of matrix $\mathrm{op}(A)$ and number of rows of matrix $\mathrm{op}(B)$ .
[in]	a1	Scalar coefficient .
[in]	A	Pointer to first data element of matrix .
[in]	ldA	Leading dimension of storage std::array containing the matrix .
[in]	B	Pointer to first data element of matrix .
[in]	ldB	Leading dimension of storage std::array containing the matrix .
[in]	a2	Scalar coefficient .
	C	Pointer to first data element of matrix .
[in]	ldC	Leading dimension of storage std::array containing the matrix .

Referenced by Opm::matMulAdd_NN(), Opm::matMulAdd_NT(), and Opm::matMulAdd_TN().

template<>

void Opm::BLAS_LAPACK::GEMM< double >	(	const char *	transA,
		const char *	transB,
		const int	m,
		const int	n,
		const int	k,
		const double &	a1,
		const double *	A,
		const int	ldA,
		const double *	B,
		const int	ldB,
		const double &	a2,
		double *	C,
		const int	ldC
	)

GEneral Matrix Matrix product specialization for double.

template<typename T >

void Opm::BLAS_LAPACK::GEMV	(	const char *	transA,
		const int	m,
		const int	n,
		const T &	a1,
		const T *	A,
		const int	ldA,
		const T *	x,
		const int	incX,
		const T &	a2,
		T *	y,
		const int	incY
	)

GEneral Matrix Vector product (Level 2 BLAS).

Template Parameters

T	Element type of matrix/vector.

Parameters

	transA	Specifcation of $\mathrm{op}$ . transA = 'N' yields $\mathrm{op}(A) = A$ while transA = 'T' yields $\mathrm{op}(A) = A^{\mathsf{T}}$ .
[in]	m	Number of matrix rows (and number of rows for which new data will be assigned to the result vector .)
[in]	n	Number of matrix columns (and number of rows for which data will be retrieved from the input vector ).
[in]	a1	Scalar coefficient .
[in]	A	Pointer to first data element of matrix .
[in]	ldA	Leading dimension of storage std::array containing the matrix .
[in]	x	Input vector .
[in]	incX	Data element stride for input vector .
[in]	a2	Scalar coefficient .
	y	Result vector .
[in]	incY	Data element stride for result vector .

Referenced by Opm::vecMulAdd_N(), and Opm::vecMulAdd_T().

template<>

void Opm::BLAS_LAPACK::GEMV< double >	(	const char *	transA,
		const int	m,
		const int	n,
		const double &	a1,
		const double *	A,
		const int	ldA,
		const double *	x,
		const int	incX,
		const double &	a2,
		double *	y,
		const int	incY
	)

GEneral Matrix Vector product specialization for double.

template<typename T >

void Opm::BLAS_LAPACK::GEQRF	(	const int	m,
		const int	n,
		T *	A,
		const int	ld,
		T *	tau,
		T *	work,
		const int	lwork,
		int &	info
	)

GEneral matrix QR Factorization (LAPACK)

Template Parameters

T	Matrix element type.

Referenced by Opm::orthogonalizeColumns().

template<>

void Opm::BLAS_LAPACK::GEQRF< double >	(	const int	m,
		const int	n,
		double *	A,
		const int	ld,
		double *	tau,
		double *	work,
		const int	lwork,
		int &	info
	)

GEneral matrix QR Factorization specialization for double.

template<typename T >

void Opm::BLAS_LAPACK::GETRF	(	const int	m,
		const int	n,
		T *	A,
		const int	ld,
		int *	ipiv,
		int &	info
	)

GEneral matrix TRiangular Factorization (LAPACK).

Template Parameters

T	Matrix element type.

Referenced by Opm::invert().

template<>

void Opm::BLAS_LAPACK::GETRF< double >	(	const int	m,
		const int	n,
		double *	A,
		const int	ld,
		int *	ipiv,
		int &	info
	)

GEneral matrix TRiangular Factorization specialization for double.

template<typename T >

void Opm::BLAS_LAPACK::GETRI	(	const int	n,
		T *	A,
		const int	ld,
		const int *	ipiv,
		T *	work,
		int	lwork,
		int &	info
	)

GEneral matrix TRiangular Inversion (LAPACK).

Template Parameters

T	Matrix element type.

Referenced by Opm::invert().

template<>

void Opm::BLAS_LAPACK::GETRI	(	const int	n,
		double *	A,
		const int	ld,
		const int *	ipiv,
		double *	work,
		int	lwork,
		int &	info
	)

GEneral matrix TRiangular Inversion specialization for double.

template<typename T >

void Opm::BLAS_LAPACK::ORGQR	(	const int	m,
		const int	n,
		const int	k,
		T *	A,
		const int	ld,
		const T *	tau,
		T *	work,
		const int	lwork,
		int &	info
	)

ORthogonal matrix Generator from QR factorization (LAPACK).

Template Parameters

T	Matrix element type.

Referenced by Opm::orthogonalizeColumns().

template<>

void Opm::BLAS_LAPACK::ORGQR< double >	(	const int	m,
		const int	n,
		const int	k,
		double *	A,
		const int	ld,
		const double *	tau,
		double *	work,
		const int	lwork,
		int &	info
	)

ORthogonal matrix Generator from QR factorization specialization for double.

template<typename T >

void Opm::BLAS_LAPACK::SYRK	(	const char *	uplo,
		const char *	trans,
		const int	n,
		const int	k,
		const T &	a1,
		const T *	A,
		const int	ldA,
		const T &	a2,
		T *	C,
		const int	ldC
	)

SYmmetric Rank K update of symmetric matrix (Level 3 BLAS)

Template Parameters

T	Matrix element type.

Referenced by Opm::symmetricUpdate().

template<>

void Opm::BLAS_LAPACK::SYRK< double >	(	const char *	uplo,
		const char *	trans,
		const int	n,
		const int	k,
		const double &	a1,
		const double *	A,
		const int	ldA,
		const double &	a2,
		double *	C,
		const int	ldC
	)

SYmmetric Rank K update of symmetric matrix specialization for double.

template<typename T >

void Opm::BLAS_LAPACK::TRMM	(	const char *	side,
		const char *	uplo,
		const char *	transA,
		const char *	diag,
		const int	m,
		const int	n,
		const T &	a,
		const T *	A,
		const int	ldA,
		T *	B,
		const int	ldB
	)

TRiangular Matrix Matrix product (Level 2 BLAS)

Template Parameters

T	Matrix element type.

Referenced by Opm::symmetricUpdate().

template<>

void Opm::BLAS_LAPACK::TRMM< double >	(	const char *	side,
		const char *	uplo,
		const char *	transA,
		const char *	diag,
		const int	m,
		const int	n,
		const double &	a,
		const double *	A,
		const int	ldA,
		double *	B,
		const int	ldB
	)

TRiangular Matrix Matrix product specialization for double.

Functions

Function Documentation