CubbyFlow::BLAS< S, V, M > Struct Template Reference

Generic BLAS operator wrapper class. More...

#include <Core/Math/BLAS.h>

Public Types
using	ScalarType = S
using	VectorType = V
using	MatrixType = M

Static Public Member Functions
static void	Set (ScalarType s, VectorType *result)
	Sets entire element of given vector result with scalar s. More...
static void	Set (const VectorType &v, VectorType *result)
	Copies entire element of given vector result with other vector v. More...
static void	Set (ScalarType s, MatrixType *result)
	Sets entire element of given matrix result with scalar s. More...
static void	Set (const MatrixType &m, MatrixType *result)
	Copies entire element of given matrix result with other matrix v. More...
static ScalarType	Dot (const VectorType &a, const VectorType &b)
	Performs dot product with vector a and b. More...
static void	AXPlusY (ScalarType a, const VectorType &x, const VectorType &y, VectorType *result)
	Performs ax + y operation where a is a matrix and x and y are vectors. More...
static void	MVM (const MatrixType &m, const VectorType &v, VectorType *result)
	Performs matrix-vector multiplication. More...
static void	Residual (const MatrixType &a, const VectorType &x, const VectorType &b, VectorType *result)
	Computes residual vector (b - ax). More...
static ScalarType	L2Norm (const VectorType &v)
	Returns L2-norm of the given vector v. More...
static ScalarType	LInfNorm (const VectorType &v)
	Returns L-inf-norm of the given vector v. More...

Detailed Description

template<typename S, typename V, typename M>
struct CubbyFlow::BLAS< S, V, M >

Generic BLAS operator wrapper class.

This class provides BLAS (Basic Linear Algebra Subprograms)-like set of operators for vector and matrix class. By default, it supports Vector<T, 2>, Vector<T, 3>, Vector<T, 4>, Matrix<T, 2, 2>, Matrix<T, 3, 3> and Matrix<T, 4, 4>. For custom vector/matrix classes, create a new BLAS class that conforms the function interfaces defined in this class. It will enable performing linear algebra routines (such as conjugate gradient) for the custom vector/matrix types.

Member Typedef Documentation

MatrixType

template<typename S , typename V , typename M >

using CubbyFlow::BLAS< S, V, M >::MatrixType = M

ScalarType

template<typename S , typename V , typename M >

using CubbyFlow::BLAS< S, V, M >::ScalarType = S

VectorType

template<typename S , typename V , typename M >

using CubbyFlow::BLAS< S, V, M >::VectorType = V

Member Function Documentation

AXPlusY()

template<typename ScalarType , typename VectorType , typename MatrixType >

void CubbyFlow::BLAS< ScalarType, VectorType, MatrixType >::AXPlusY ( ScalarType  a, const VectorType &  x, const VectorType &  y, VectorType *  result  )

static

Performs ax + y operation where a is a matrix and x and y are vectors.

Dot()

template<typename ScalarType , typename VectorType , typename MatrixType >

ScalarType CubbyFlow::BLAS< ScalarType, VectorType, MatrixType >::Dot ( const VectorType &  a, const VectorType &  b  )

static

Performs dot product with vector a and b.

L2Norm()

template<typename ScalarType , typename VectorType , typename MatrixType >

ScalarType CubbyFlow::BLAS< ScalarType, VectorType, MatrixType >::L2Norm ( const VectorType &  v )

static

Returns L2-norm of the given vector v.

LInfNorm()

template<typename ScalarType , typename VectorType , typename MatrixType >

ScalarType CubbyFlow::BLAS< ScalarType, VectorType, MatrixType >::LInfNorm ( const VectorType &  v )

static

Returns L-inf-norm of the given vector v.

MVM()

template<typename ScalarType , typename VectorType , typename MatrixType >

void CubbyFlow::BLAS< ScalarType, VectorType, MatrixType >::MVM ( const MatrixType &  m, const VectorType &  v, VectorType *  result  )

static

Performs matrix-vector multiplication.

Residual()

template<typename ScalarType , typename VectorType , typename MatrixType >

void CubbyFlow::BLAS< ScalarType, VectorType, MatrixType >::Residual ( const MatrixType &  a, const VectorType &  x, const VectorType &  b, VectorType *  result  )

static

Computes residual vector (b - ax).

Set() [1/4]

template<typename ScalarType , typename VectorType , typename MatrixType >

void CubbyFlow::BLAS< ScalarType, VectorType, MatrixType >::Set ( ScalarType  s, VectorType *  result  )

static

Sets entire element of given vector result with scalar s.

Set() [2/4]

template<typename ScalarType , typename VectorType , typename MatrixType >

void CubbyFlow::BLAS< ScalarType, VectorType, MatrixType >::Set ( const VectorType &  v, VectorType *  result  )

static

Copies entire element of given vector result with other vector v.

Set() [3/4]

template<typename ScalarType , typename VectorType , typename MatrixType >

void CubbyFlow::BLAS< ScalarType, VectorType, MatrixType >::Set ( ScalarType  s, MatrixType *  result  )

static

Sets entire element of given matrix result with scalar s.

Set() [4/4]

template<typename ScalarType , typename VectorType , typename MatrixType >

void CubbyFlow::BLAS< ScalarType, VectorType, MatrixType >::Set ( const MatrixType &  m, MatrixType *  result  )

static

Copies entire element of given matrix result with other matrix v.

---

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

• Core/Math/BLAS.h
• Core/Math/BLAS-Impl.h