Sacado::Fad::BLAS< OrdinalType, FadType > Class Template Reference

Fad specializations for Teuchos::BLAS wrappers. More...

#include <Sacado_Fad_BLAS.hpp>

Inheritance diagram for Sacado::Fad::BLAS< OrdinalType, FadType >:

Collaboration diagram for Sacado::Fad::BLAS< OrdinalType, FadType >:

Public Member Functions
Constructor/Destructor.
	BLAS (bool use_default_impl=true, bool use_dynamic=true, OrdinalType static_workspace_size=0)
	Default constructor.
	BLAS (const BLAS &x)
	Copy constructor.
virtual	~BLAS ()
	Destructor.
Level 1 BLAS Routines.
void	ROTG (FadType *da, FadType *db, MagnitudeType *c, FadType *s) const
	Computes a Givens plane rotation.
void	ROT (const OrdinalType n, FadType *dx, const OrdinalType incx, FadType *dy, const OrdinalType incy, MagnitudeType *c, FadType *s) const
	Applies a Givens plane rotation.
void	SCAL (const OrdinalType n, const FadType &alpha, FadType *x, const OrdinalType incx) const
	Scale the std::vector x by the constant alpha.
void	COPY (const OrdinalType n, const FadType *x, const OrdinalType incx, FadType *y, const OrdinalType incy) const
	Copy the std::vector x to the std::vector y.
template<typename alpha_type , typename x_type >
void	AXPY (const OrdinalType n, const alpha_type &alpha, const x_type *x, const OrdinalType incx, FadType *y, const OrdinalType incy) const
	Perform the operation: y <- y+alpha*x.
Teuchos::ScalarTraits< FadType > ::magnitudeType	ASUM (const OrdinalType n, const FadType *x, const OrdinalType incx) const
	Sum the absolute values of the entries of x.
template<typename x_type , typename y_type >
FadType	DOT (const OrdinalType n, const x_type *x, const OrdinalType incx, const y_type *y, const OrdinalType incy) const
	Form the dot product of the vectors x and y.
MagnitudeType	NRM2 (const OrdinalType n, const FadType *x, const OrdinalType incx) const
	Compute the 2-norm of the std::vector x.
OrdinalType	IAMAX (const OrdinalType n, const FadType *x, const OrdinalType incx) const
	Return the index of the element of x with the maximum magnitude.
Level 2 BLAS Routines.
template<typename alpha_type , typename A_type , typename x_type , typename beta_type >
void	GEMV (Teuchos::ETransp trans, const OrdinalType m, const OrdinalType n, const alpha_type &alpha, const A_type *A, const OrdinalType lda, const x_type *x, const OrdinalType incx, const beta_type &beta, FadType *y, const OrdinalType incy) const
	Performs the matrix-std::vector operation: y <- alpha*A*x+beta*y or y <- alpha*A'*x+beta*y where A is a general m by n matrix.
template<typename A_type >
void	TRMV (Teuchos::EUplo uplo, Teuchos::ETransp trans, Teuchos::EDiag diag, const OrdinalType n, const A_type *A, const OrdinalType lda, FadType *x, const OrdinalType incx) const
	Performs the matrix-std::vector operation: x <- A*x or x <- A'*x where A is a unit/non-unit n by n upper/lower triangular matrix.
template<typename alpha_type , typename x_type , typename y_type >
void	GER (const OrdinalType m, const OrdinalType n, const alpha_type &alpha, const x_type *x, const OrdinalType incx, const y_type *y, const OrdinalType incy, FadType *A, const OrdinalType lda) const
	Performs the rank 1 operation: A <- alpha*x*y'+A.
Level 3 BLAS Routines.
template<typename alpha_type , typename A_type , typename B_type , typename beta_type >
void	GEMM (Teuchos::ETransp transa, Teuchos::ETransp transb, const OrdinalType m, const OrdinalType n, const OrdinalType k, const alpha_type &alpha, const A_type *A, const OrdinalType lda, const B_type *B, const OrdinalType ldb, const beta_type &beta, FadType *C, const OrdinalType ldc) const
	Performs the matrix-matrix operation: C <- alpha*op(A)*op(B)+beta*C where op(A) is either A or A', op(B) is either B or B', and C is an m by k matrix.
template<typename alpha_type , typename A_type , typename B_type , typename beta_type >
void	SYMM (Teuchos::ESide side, Teuchos::EUplo uplo, const OrdinalType m, const OrdinalType n, const alpha_type &alpha, const A_type *A, const OrdinalType lda, const B_type *B, const OrdinalType ldb, const beta_type &beta, FadType *C, const OrdinalType ldc) const
	Performs the matrix-matrix operation: C <- alpha*A*B+beta*C or C <- alpha*B*A+beta*C where A is an m by m or n by n symmetric matrix and B is a general matrix.
template<typename alpha_type , typename A_type >
void	TRMM (Teuchos::ESide side, Teuchos::EUplo uplo, Teuchos::ETransp transa, Teuchos::EDiag diag, const OrdinalType m, const OrdinalType n, const alpha_type &alpha, const A_type *A, const OrdinalType lda, FadType *B, const OrdinalType ldb) const
	Performs the matrix-matrix operation: C <- alpha*op(A)*B+beta*C or C <- alpha*B*op(A)+beta*C where op(A) is an unit/non-unit, upper/lower triangular matrix and B is a general matrix.
template<typename alpha_type , typename A_type >
void	TRSM (Teuchos::ESide side, Teuchos::EUplo uplo, Teuchos::ETransp transa, Teuchos::EDiag diag, const OrdinalType m, const OrdinalType n, const alpha_type &alpha, const A_type *A, const OrdinalType lda, FadType *B, const OrdinalType ldb) const
	Solves the matrix equations: op(A)*X=alpha*B or X*op(A)=alpha*B where X and B are m by n matrices, A is a unit/non-unit, upper/lower triangular matrix and op(A) is A or A'. The matrix X is overwritten on B.

Protected Member Functions
template<typename x_type , typename y_type >
void	Fad_DOT (const OrdinalType n, const x_type *x, const OrdinalType incx, const OrdinalType n_x_dot, const x_type *x_dot, const OrdinalType incx_dot, const y_type *y, const OrdinalType incy, const OrdinalType n_y_dot, const y_type *y_dot, const OrdinalType incy_dot, ValueType &z, const OrdinalType n_z_dot, ValueType *zdot) const
	Implementation of DOT.
template<typename alpha_type , typename A_type , typename x_type , typename beta_type >
void	Fad_GEMV (Teuchos::ETransp trans, const OrdinalType m, const OrdinalType n, const alpha_type &alpha, const OrdinalType n_alpha_dot, const alpha_type *alpha_dot, const A_type *A, const OrdinalType lda, const OrdinalType n_A_dot, const A_type *A_dot, const OrdinalType lda_dot, const x_type *x, const OrdinalType incx, const OrdinalType n_x_dot, const x_type *x_dot, const OrdinalType incx_dot, const beta_type &beta, const OrdinalType n_beta_dot, const beta_type *beta_dot, ValueType *y, const OrdinalType incy, const OrdinalType n_y_dot, ValueType *y_dot, const OrdinalType incy_dot, const OrdinalType n_dot) const
	Implementation of GEMV.
template<typename alpha_type , typename x_type , typename y_type >
void	Fad_GER (const OrdinalType m, const OrdinalType n, const alpha_type &alpha, const OrdinalType n_alpha_dot, const alpha_type *alpha_dot, const x_type *x, const OrdinalType incx, const OrdinalType n_x_dot, const x_type *x_dot, const OrdinalType incx_dot, const y_type *y, const OrdinalType incy, const OrdinalType n_y_dot, const y_type *y_dot, const OrdinalType incy_dot, ValueType *A, const OrdinalType lda, const OrdinalType n_A_dot, ValueType *A_dot, const OrdinalType lda_dot, const OrdinalType n_dot) const
	Implementation of GER.
template<typename alpha_type , typename A_type , typename B_type , typename beta_type >
void	Fad_GEMM (Teuchos::ETransp transa, Teuchos::ETransp transb, const OrdinalType m, const OrdinalType n, const OrdinalType k, const alpha_type &alpha, const OrdinalType n_alpha_dot, const alpha_type *alpha_dot, const A_type *A, const OrdinalType lda, const OrdinalType n_A_dot, const A_type *A_dot, const OrdinalType lda_dot, const B_type *B, const OrdinalType ldb, const OrdinalType n_B_dot, const B_type *B_dot, const OrdinalType ldb_dot, const beta_type &beta, const OrdinalType n_beta_dot, const beta_type *beta_dot, ValueType *C, const OrdinalType ldc, const OrdinalType n_C_dot, ValueType *C_dot, const OrdinalType ldc_dot, const OrdinalType n_dot) const
	Implementation of GEMM.
template<typename alpha_type , typename A_type , typename B_type , typename beta_type >
void	Fad_SYMM (Teuchos::ESide side, Teuchos::EUplo uplo, const OrdinalType m, const OrdinalType n, const alpha_type &alpha, const OrdinalType n_alpha_dot, const alpha_type *alpha_dot, const A_type *A, const OrdinalType lda, const OrdinalType n_A_dot, const A_type *A_dot, const OrdinalType lda_dot, const B_type *B, const OrdinalType ldb, const OrdinalType n_B_dot, const B_type *B_dot, const OrdinalType ldb_dot, const beta_type &beta, const OrdinalType n_beta_dot, const beta_type *beta_dot, ValueType *C, const OrdinalType ldc, const OrdinalType n_C_dot, ValueType *C_dot, const OrdinalType ldc_dot, const OrdinalType n_dot) const
	Implementation of SYMM.
template<typename alpha_type , typename A_type >
void	Fad_TRMM (Teuchos::ESide side, Teuchos::EUplo uplo, Teuchos::ETransp transa, Teuchos::EDiag diag, const OrdinalType m, const OrdinalType n, const alpha_type &alpha, const OrdinalType n_alpha_dot, const alpha_type *alpha_dot, const A_type *A, const OrdinalType lda, const OrdinalType n_A_dot, const A_type *A_dot, const OrdinalType lda_dot, ValueType *B, const OrdinalType ldb, const OrdinalType n_B_dot, ValueType *B_dot, const OrdinalType ldb_dot, const OrdinalType n_dot) const
	Implementation of TRMM.
template<typename alpha_type , typename A_type >
void	Fad_TRSM (Teuchos::ESide side, Teuchos::EUplo uplo, Teuchos::ETransp transa, Teuchos::EDiag diag, const OrdinalType m, const OrdinalType n, const alpha_type &alpha, const OrdinalType n_alpha_dot, const alpha_type *alpha_dot, const A_type *A, const OrdinalType lda, const OrdinalType n_A_dot, const A_type *A_dot, const OrdinalType lda_dot, ValueType *B, const OrdinalType ldb, const OrdinalType n_B_dot, ValueType *B_dot, const OrdinalType ldb_dot, const OrdinalType n_dot) const
	Implementation of TRMM.

Protected Attributes
ArrayTraits< OrdinalType, FadType >	arrayTraits
	ArrayTraits for packing/unpacking value/derivative arrays.
Teuchos::BLAS< OrdinalType, ValueType >	blas
	BLAS for values.
bool	use_default_impl
	Use custom or default implementation.
std::vector< ValueType >	gemv_Ax
	Temporary array for GEMV.
std::vector< ValueType >	gemm_AB
	Temporary array for GEMM.

Detailed Description

template<typename OrdinalType, typename FadType>
class Sacado::Fad::BLAS< OrdinalType, FadType >

Fad specializations for Teuchos::BLAS wrappers.

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The documentation for this class was generated from the following files:

• Sacado_Fad_BLAS.hpp
• Sacado_Fad_BLASImp.hpp