Enumerations
enum	CBLAS_TRANSPOSE { NoTrans =0 , Trans =1 , ConjTrans =2 }
	Matrix operations for BLAS function calls. More...

Functions
template<typename T >
const blas_complex_float *	to_cptr (const T *ptr)

template<typename T >
std::enable_if<!std::is_const< T >::value, blas_complex_float * >::type	to_cptr (T *ptr)

template<typename T >
const blas_complex_double *	to_zptr (const T *ptr)

template<typename T >
std::enable_if<!std::is_const< T >::value, blas_complex_double * >::type	to_zptr (T *ptr)


void	gemm (const CBLAS_TRANSPOSE OpA, const CBLAS_TRANSPOSE OpB, const integer m, const integer n, const integer k, const float alpha, const float a, const integer lda, const float b, const integer ldb, const float beta, float *c, const integer ldc)
	Multiplies a matrix by a vector. More...

void	gemm (const CBLAS_TRANSPOSE OpA, const CBLAS_TRANSPOSE OpB, const integer m, const integer n, const integer k, const double alpha, const double a, const integer lda, const double b, const integer ldb, const double beta, double *c, const integer ldc)

void	gemm (const CBLAS_TRANSPOSE OpA, const CBLAS_TRANSPOSE OpB, const integer m, const integer n, const integer k, const complex_real4 alpha, const complex_real4 a, const integer lda, const complex_real4 b, const integer ldb, const complex_real4 beta, complex_real4 *c, const integer ldc)

void	gemm (const CBLAS_TRANSPOSE OpA, const CBLAS_TRANSPOSE OpB, const integer m, const integer n, const integer k, const complex_real8 alpha, const complex_real8 a, const integer lda, const complex_real8 b, const integer ldb, const complex_real8 beta, complex_real8 *c, const integer ldc)


void	gemv (const CBLAS_TRANSPOSE OpA, const integer m, const integer n, const float alpha, const float A, const integer lda, const float x, const integer incx, const float beta, float *y, const integer incy)
	Multiplies a matrix by a vector. More...

void	gemv (const CBLAS_TRANSPOSE OpA, const integer m, const integer n, const double alpha, const double A, const integer lda, const double x, const integer incx, const double beta, double *y, const integer incy)

void	gemv (const CBLAS_TRANSPOSE OpA, const integer m, const integer n, const complex_real4 alpha, const complex_real4 A, const integer lda, const complex_real4 x, const integer incx, const complex_real4 beta, complex_real4 *y, const integer incy)

void	gemv (const CBLAS_TRANSPOSE OpA, const integer m, const integer n, const complex_real8 alpha, const complex_real8 A, const integer lda, const complex_real8 x, const integer incx, const complex_real8 beta, complex_real8 *y, const integer incy)


void	ger (const integer m, const integer n, const float alpha, const float x, const integer incx, const float y, const integer incy, float *A, const integer lda)
	Multiplies vector $\mathbf{x}$ by the transform of vector $\mathbf{y}$ . More...

void	ger (const integer m, const integer n, const double alpha, const double x, const integer incx, const double y, const integer incy, double *A, const integer lda)

void	ger (const integer m, const integer n, const complex_real4 alpha, const complex_real4 x, const integer incx, const complex_real4 y, const integer incy, complex_real4 *A, const integer lda)

void	ger (const integer m, const integer n, const complex_real8 alpha, const complex_real8 x, const integer incx, const complex_real8 y, const integer incy, complex_real8 *A, const integer lda)


float	dot (const integer n, const float x, const integer incx, const float y, const integer incy)
	Compute the dot product of vectors $\mathbf{x}$ and $\mathbf{y}$ . More...

double	dot (const integer n, const double x, const integer incx, const double y, const integer incy)

complex_real4	dot (const integer n, const complex_real4 x, const integer incx, const complex_real4 y, const integer incy)

complex_real8	dot (const integer n, const complex_real8 x, const integer incx, const complex_real8 y, const integer incy)


void	scal (const integer n, const float alpha, float *x, const integer incx)
	Scale a vector. More...

void	scal (const integer n, const double alpha, double *x, const integer incx)

void	scal (const integer n, const complex_real4 alpha, complex_real4 *x, const integer incx)

void	scal (const integer n, const complex_real8 alpha, complex_real8 *x, const integer incx)

void	scal (const integer n, const float alpha, complex_real4 *x, const integer incx)

void	scal (const integer n, const double alpha, complex_real8 *x, const integer incx)


void	axpy (const integer n, const float alpha, float x, const integer incx, float y, const integer incy)
	Scale and add a vector to another. More...

void	axpy (const integer n, const double alpha, double x, const integer incx, double y, const integer incy)

void	axpy (const integer n, const complex_real4 alpha, complex_real4 x, const integer incx, complex_real4 y, const integer incy)

void	axpy (const integer n, const complex_real8 alpha, complex_real8 x, const integer incx, complex_real8 y, const integer incy)

Detailed Description

Todo:: Description needed

Enumeration Type Documentation

◆ CBLAS_TRANSPOSE

enum madness::cblas::CBLAS_TRANSPOSE

Matrix operations for BLAS function calls.

Enumerator
NoTrans
Trans
ConjTrans

Function Documentation

◆ axpy() [1/4]

void madness::cblas::axpy	(	const integer	n,
		const complex_real4	alpha,
		complex_real4 *	x,
		const integer	incx,
		complex_real4 *	y,
		const integer	incy
	)

inline

References alpha, F77_CAXPY(), and to_cptr().

◆ axpy() [2/4]

void madness::cblas::axpy	(	const integer	n,
		const complex_real8	alpha,
		complex_real8 *	x,
		const integer	incx,
		complex_real8 *	y,
		const integer	incy
	)

inline

References alpha, F77_ZAXPY(), and to_zptr().

◆ axpy() [3/4]

void madness::cblas::axpy	(	const integer	n,
		const double	alpha,
		double *	x,
		const integer	incx,
		double *	y,
		const integer	incy
	)

inline

References alpha, and F77_DAXPY().

◆ axpy() [4/4]

void madness::cblas::axpy	(	const integer	n,
		const float	alpha,
		float *	x,
		const integer	incx,
		float *	y,
		const integer	incy
	)

inline

Scale and add a vector to another.

$\mathbf{y} \leftarrow \alpha \mathbf{x} + \mathbf{y}$

Parameters

n	The size of the vector
alpha	The scaling factor for vector $\mathbf{x}$
x	Pointer to vector $\mathbf{x}$
incx	Stride for vector $\mathbf{x}$
y	Pointer to vector $\mathbf{y}$
incy	Stride for vector $\mathbf{y}$

References alpha, and F77_SAXPY().

Referenced by madness::aligned_axpy().

◆ dot() [1/4]

complex_real4 madness::cblas::dot	(	const integer	n,
		const complex_real4 *	x,
		const integer	incx,
		const complex_real4 *	y,
		const integer	incy
	)

inline

References F77_CDOTU(), and to_cptr().

◆ dot() [2/4]

complex_real8 madness::cblas::dot	(	const integer	n,
		const complex_real8 *	x,
		const integer	incx,
		const complex_real8 *	y,
		const integer	incy
	)

inline

References F77_ZDOTU(), and to_zptr().

◆ dot() [3/4]

double madness::cblas::dot	(	const integer	n,
		const double *	x,
		const integer	incx,
		const double *	y,
		const integer	incy
	)

inline

References F77_DDOT().

◆ dot() [4/4]

float madness::cblas::dot	(	const integer	n,
		const float *	x,
		const integer	incx,
		const float *	y,
		const integer	incy
	)

inline

Compute the dot product of vectors $\mathbf{x}$ and $\mathbf{y}$ .

$u \leftarrow \alpha \mathbf{x} \cdot \mathbf{y}$

Parameters

n	Size of the vectors $\mathbf{x}$ and $\mathbf{y}$
x	Pointer to vector $\mathbf{x}$
incx	Stride of vector $\mathbf{x}$
y	Pointer to vector $\mathbf{y}$
incy	Stride of vector $\mathbf{y}$

Returns: The dot product of x and y

References F77_SDOT().

◆ gemm() [1/4]

void madness::cblas::gemm	(	const CBLAS_TRANSPOSE	OpA,
		const CBLAS_TRANSPOSE	OpB,
		const integer	m,
		const integer	n,
		const integer	k,
		const complex_real4	alpha,
		const complex_real4 *	a,
		const integer	lda,
		const complex_real4 *	b,
		const integer	ldb,
		const complex_real4	beta,
		complex_real4 *	c,
		const integer	ldc
	)

inline

References a, alpha, b, beta, c, F77_CGEMM(), k, m, op(), and to_cptr().

◆ gemm() [2/4]

void madness::cblas::gemm	(	const CBLAS_TRANSPOSE	OpA,
		const CBLAS_TRANSPOSE	OpB,
		const integer	m,
		const integer	n,
		const integer	k,
		const complex_real8	alpha,
		const complex_real8 *	a,
		const integer	lda,
		const complex_real8 *	b,
		const integer	ldb,
		const complex_real8	beta,
		complex_real8 *	c,
		const integer	ldc
	)

inline

References a, alpha, b, beta, c, F77_ZGEMM(), k, m, op(), and to_zptr().

◆ gemm() [3/4]

void madness::cblas::gemm	(	const CBLAS_TRANSPOSE	OpA,
		const CBLAS_TRANSPOSE	OpB,
		const integer	m,
		const integer	n,
		const integer	k,
		const double	alpha,
		const double *	a,
		const integer	lda,
		const double *	b,
		const integer	ldb,
		const double	beta,
		double *	c,
		const integer	ldc
	)

inline

References a, alpha, b, beta, c, ConjTrans, F77_DGEMM(), k, m, MADNESS_ASSERT, and op().

◆ gemm() [4/4]

void madness::cblas::gemm	(	const CBLAS_TRANSPOSE	OpA,
		const CBLAS_TRANSPOSE	OpB,
		const integer	m,
		const integer	n,
		const integer	k,
		const float	alpha,
		const float *	a,
		const integer	lda,
		const float *	b,
		const integer	ldb,
		const float	beta,
		float *	c,
		const integer	ldc
	)

inline

Multiplies a matrix by a vector.

$\mathbf{C} \leftarrow \alpha \mathbf{A}^{\mathrm{OpA}} \mathbf{B}^{\mathrm{OpB}} + \beta \mathbf{C}$

Parameters

OpA	Operation to be applied to matrix $\mathbf{A}$
OpB	Operation to be applied to matrix $\mathbf{B}$
m	Rows in matrix $\mathbf{C}$
n	Columns in matrix $\mathbf{C}$
k	Inner dimension size for matrices $\mathbf{A}$ and $\mathbf{B}$
alpha	Scaling factor applied to $\mathbf{A}$ `*` $\mathbf{B}$
a	Pointer to matrix $\mathbf{A}$
lda	The size of the leading-order dimension of matrix $\mathbf{A}$
b	Pointer to matrix $\mathbf{A}$
ldb	The size of the leading-order dimension of matrix $\mathbf{B}$
beta	Scaling factor for matrix $\mathbf{C}$
c	Pointer to matrix $\mathbf{C}$
ldc	The size of the leading-order dimension of matrix $\mathbf{C}$

References a, alpha, b, beta, c, ConjTrans, F77_SGEMM(), k, m, MADNESS_ASSERT, and op().

Referenced by madness::mTxm(), mTxm_dgemm(), madness::mTxmq(), madness::mTxmT(), madness::mxm(), and madness::mxmT().

◆ gemv() [1/4]

void madness::cblas::gemv	(	const CBLAS_TRANSPOSE	OpA,
		const integer	m,
		const integer	n,
		const complex_real4	alpha,
		const complex_real4 *	A,
		const integer	lda,
		const complex_real4 *	x,
		const integer	incx,
		const complex_real4	beta,
		complex_real4 *	y,
		const integer	incy
	)

inline

References alpha, beta, F77_CGEMV(), m, op(), and to_cptr().

◆ gemv() [2/4]

void madness::cblas::gemv	(	const CBLAS_TRANSPOSE	OpA,
		const integer	m,
		const integer	n,
		const complex_real8	alpha,
		const complex_real8 *	A,
		const integer	lda,
		const complex_real8 *	x,
		const integer	incx,
		const complex_real8	beta,
		complex_real8 *	y,
		const integer	incy
	)

inline

References alpha, beta, F77_ZGEMV(), m, op(), and to_zptr().

◆ gemv() [3/4]

void madness::cblas::gemv	(	const CBLAS_TRANSPOSE	OpA,
		const integer	m,
		const integer	n,
		const double	alpha,
		const double *	A,
		const integer	lda,
		const double *	x,
		const integer	incx,
		const double	beta,
		double *	y,
		const integer	incy
	)

inline

References alpha, beta, ConjTrans, F77_DGEMV(), m, MADNESS_ASSERT, and op().

◆ gemv() [4/4]

void madness::cblas::gemv	(	const CBLAS_TRANSPOSE	OpA,
		const integer	m,
		const integer	n,
		const float	alpha,
		const float *	A,
		const integer	lda,
		const float *	x,
		const integer	incx,
		const float	beta,
		float *	y,
		const integer	incy
	)

inline

Multiplies a matrix by a vector.

$\mathbf{y} \leftarrow \alpha \mathbf{A}^{\mathrm{OpA}} \mathbf{x} + \beta \mathbf{y}$

Parameters

OpA	Operation to be applied to matrix $\mathbf{A}$
m	Rows in matrix $\mathbf{A}$
n	Columns in matrix $\mathbf{A}$
alpha	Scaling factor applied to $\mathbf{A}$ `*` $\mathbf{x}$
A	Pointer to matrix $\mathbf{A}$
lda	The size of the leading-order dimension of matrix $\mathbf{A}$
x	Pointer to vector $\mathbf{x}$
incx	Stride of vector $\mathbf{x}$
beta	Scaling factor for vector $\mathbf{y}$
y	Pointer to vector $\mathbf{y}$
incy	Stride of vector $\mathbf{y}$

References alpha, beta, ConjTrans, F77_SGEMV(), m, MADNESS_ASSERT, and op().

◆ ger() [1/4]

void madness::cblas::ger	(	const integer	m,
		const integer	n,
		const complex_real4	alpha,
		const complex_real4 *	x,
		const integer	incx,
		const complex_real4 *	y,
		const integer	incy,
		complex_real4 *	A,
		const integer	lda
	)

inline

References alpha, F77_CGER(), and m.

◆ ger() [2/4]

void madness::cblas::ger	(	const integer	m,
		const integer	n,
		const complex_real8	alpha,
		const complex_real8 *	x,
		const integer	incx,
		const complex_real8 *	y,
		const integer	incy,
		complex_real8 *	A,
		const integer	lda
	)

inline

References alpha, F77_ZGER(), and m.

◆ ger() [3/4]

void madness::cblas::ger	(	const integer	m,
		const integer	n,
		const double	alpha,
		const double *	x,
		const integer	incx,
		const double *	y,
		const integer	incy,
		double *	A,
		const integer	lda
	)

inline

References alpha, F77_DGER(), and m.

◆ ger() [4/4]

void madness::cblas::ger	(	const integer	m,
		const integer	n,
		const float	alpha,
		const float *	x,
		const integer	incx,
		const float *	y,
		const integer	incy,
		float *	A,
		const integer	lda
	)

inline

Multiplies vector $\mathbf{x}$ by the transform of vector $\mathbf{y}$ .

$\mathbf{A} \leftarrow \alpha \mathbf{x} \mathbf{y}^{\mathrm{T}} + \mathbf{A}$

Parameters

m	Rows in matrix $\mathbf{A}$
n	Columns in matrix $\mathbf{A}$
alpha	Scaling factor applied to $\mathbf{x} \mathbf{y}^{\mathrm{T}}$
x	Pointer to vector $\mathbf{x}$
incx	Stride of vector $\mathbf{x}$
y	Pointer to vector $\mathbf{y}$
incy	Stride of vector $\mathbf{y}$
A	Pointer to matrix $\mathbf{A}$
lda	The size of the leading-order dimension of matrix $\mathbf{A}$

References alpha, F77_SGER(), and m.

◆ scal() [1/6]

void madness::cblas::scal	(	const integer	n,
		const complex_real4	alpha,
		complex_real4 *	x,
		const integer	incx
	)

inline

References alpha, F77_CSCAL(), and to_cptr().

◆ scal() [2/6]

void madness::cblas::scal	(	const integer	n,
		const complex_real8	alpha,
		complex_real8 *	x,
		const integer	incx
	)

inline

References alpha, F77_ZSCAL(), and to_zptr().

◆ scal() [3/6]

void madness::cblas::scal	(	const integer	n,
		const double	alpha,
		complex_real8 *	x,
		const integer	incx
	)

inline

References alpha, F77_ZDSCAL(), and to_zptr().

◆ scal() [4/6]

void madness::cblas::scal	(	const integer	n,
		const double	alpha,
		double *	x,
		const integer	incx
	)

inline

References alpha, and F77_DSCAL().

◆ scal() [5/6]

void madness::cblas::scal	(	const integer	n,
		const float	alpha,
		complex_real4 *	x,
		const integer	incx
	)

inline

References alpha, F77_CSSCAL(), and to_cptr().

◆ scal() [6/6]

void madness::cblas::scal	(	const integer	n,
		const float	alpha,
		float *	x,
		const integer	incx
	)

inline

Scale a vector.

$\mathbf{x} \leftarrow \alpha \mathbf{x}$

Parameters

n	The size of the vector
alpha	The scaling factor for vector $\mathbf{x}$
x	Pointer to vector $\mathbf{x}$
incx	Stride for vector $\mathbf{x}$

References alpha, and F77_SSCAL().

◆ to_cptr() [1/2]

template<typename T >

const blas_complex_float* madness::cblas::to_cptr ( const T * ptr )

References blas_complex_float, and T().

Referenced by axpy(), madness::cholesky(), dot(), gelss_(), gemm(), gemv(), geqp3_(), geqrf_(), gesv_(), gesvd_(), getrf_(), getri_(), madness::hereig(), madness::hereig_gen(), orgqr_(), potrf_(), pstrf_(), scal(), madness::svd(), syev_(), and sygv_().

◆ to_cptr() [2/2]

template<typename T >

std::enable_if<!std::is_const<T>::value, blas_complex_float*>::type madness::cblas::to_cptr ( T * ptr )

References blas_complex_float, and T().

◆ to_zptr() [1/2]

template<typename T >

const blas_complex_double* madness::cblas::to_zptr ( const T * ptr )

References blas_complex_double, and T().

Referenced by axpy(), madness::cholesky(), dot(), gelss_(), gemm(), gemv(), geqp3_(), geqrf_(), gesv_(), gesvd_(), getrf_(), getri_(), madness::hereig(), madness::hereig_gen(), orgqr_(), potrf_(), pstrf_(), scal(), madness::svd(), syev_(), and sygv_().

◆ to_zptr() [2/2]

template<typename T >

std::enable_if<!std::is_const<T>::value, blas_complex_double*>::type madness::cblas::to_zptr ( T * ptr )

References blas_complex_double, and T().

Enumerations

Functions

Detailed Description

Enumeration Type Documentation

◆ CBLAS_TRANSPOSE

Function Documentation

◆ axpy() [1/4]

◆ axpy() [2/4]

◆ axpy() [3/4]

◆ axpy() [4/4]

◆ dot() [1/4]

◆ dot() [2/4]

◆ dot() [3/4]

◆ dot() [4/4]

◆ gemm() [1/4]

◆ gemm() [2/4]

◆ gemm() [3/4]

◆ gemm() [4/4]

◆ gemv() [1/4]

◆ gemv() [2/4]

◆ gemv() [3/4]

◆ gemv() [4/4]

◆ ger() [1/4]

◆ ger() [2/4]

◆ ger() [3/4]

◆ ger() [4/4]

◆ scal() [1/6]

◆ scal() [2/6]

◆ scal() [3/6]

◆ scal() [4/6]

◆ scal() [5/6]

◆ scal() [6/6]

◆ to_cptr() [1/2]

◆ to_cptr() [2/2]

◆ to_zptr() [1/2]

◆ to_zptr() [2/2]