MADNESS: madness::VectorSpace< T, NDIM > Class Template Reference

MADNESS 0.10.1

A vector space using MADNESS Vectors. More...

#include <gmres.h>

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Public Types
typedef TensorTypeData< T >::float_scalar_type	real_type

typedef T	scalar_type

Public Member Functions
	VectorSpace (World &world)

virtual	~VectorSpace ()

virtual Vector< scalar_type, NDIM > &	gaxpy (Vector< scalar_type, NDIM > &x, const scalar_type &a, const Vector< scalar_type, NDIM > &y, const scalar_type &b) const
	Standard bilinear gaxpy. More...

virtual scalar_type	inner (const Vector< scalar_type, NDIM > &l, const Vector< scalar_type, NDIM > &r) const
	The inner product between two vectors. More...

virtual real_type	norm (const Vector< scalar_type, NDIM > &vec) const
	The norm of a vector. More...

virtual Vector< scalar_type, NDIM > &	scale (Vector< scalar_type, NDIM > &vec, const scalar_type &c) const
	Scales the vector (in-place) by a constant. More...

Public Member Functions inherited from madness::AbstractVectorSpace< Vector< T, NDIM >, TensorTypeData< T >::float_scalar_type, T >
	AbstractVectorSpace (World &world)
	Make a vector space. More...

virtual	~AbstractVectorSpace ()

virtual void	destroy (Vector< T, NDIM > &) const
	Any special instructions to be executed when a vector is no longer needed. More...

Static Protected Attributes
static const bool	iscplx = TensorTypeData<T>::iscomplex

Additional Inherited Members
Public Attributes inherited from madness::AbstractVectorSpace< Vector< T, NDIM >, TensorTypeData< T >::float_scalar_type, T >
World &	world
	The world. More...

Detailed Description

template<typename T, int NDIM>
class madness::VectorSpace< T, NDIM >

A vector space using MADNESS Vectors.

Member Typedef Documentation

◆ real_type

template<typename T , int NDIM>

typedef TensorTypeData<T>::float_scalar_type madness::VectorSpace< T, NDIM >::real_type

◆ scalar_type

template<typename T , int NDIM>

typedef T madness::VectorSpace< T, NDIM >::scalar_type

Constructor & Destructor Documentation

◆ VectorSpace()

template<typename T , int NDIM>

madness::VectorSpace< T, NDIM >::VectorSpace ( World & world )

inline

◆ ~VectorSpace()

template<typename T , int NDIM>

virtual madness::VectorSpace< T, NDIM >::~VectorSpace ( )

inlinevirtual

Member Function Documentation

◆ gaxpy()

template<typename T , int NDIM>

virtual Vector<scalar_type, NDIM>& madness::VectorSpace< T, NDIM >::gaxpy	(	Vector< scalar_type, NDIM > &	x,
		const scalar_type &	a,
		const Vector< scalar_type, NDIM > &	y,
		const scalar_type &	b
	)		const

inlinevirtual

Standard bilinear gaxpy.

$\vec{x} \leftarrow a \vec{x} + b \vec{y}$

Returns: The new vector, $\vec{x}$

Implements madness::AbstractVectorSpace< Vector< T, NDIM >, TensorTypeData< T >::float_scalar_type, T >.

References a, b, and NDIM.

◆ inner()

template<typename T , int NDIM>

virtual scalar_type madness::VectorSpace< T, NDIM >::inner	(	const Vector< scalar_type, NDIM > &	,
		const Vector< scalar_type, NDIM > &
	)		const

inlinevirtual

The inner product between two vectors.

Implements madness::AbstractVectorSpace< Vector< T, NDIM >, TensorTypeData< T >::float_scalar_type, T >.

References madness::conj(), madness::VectorSpace< T, NDIM >::iscplx, and NDIM.

◆ norm()

template<typename T , int NDIM>

virtual real_type madness::VectorSpace< T, NDIM >::norm ( const Vector< scalar_type, NDIM > & ) const

inlinevirtual

The norm of a vector.

Implements madness::AbstractVectorSpace< Vector< T, NDIM >, TensorTypeData< T >::float_scalar_type, T >.

References madness::imag(), madness::VectorSpace< T, NDIM >::iscplx, NDIM, madness::real(), and madness::vec().

Referenced by cplxvec0(), cplxvec1(), cplxvec2(), realvec0(), realvec1(), and realvec2().

◆ scale()

template<typename T , int NDIM>

virtual Vector<scalar_type, NDIM>& madness::VectorSpace< T, NDIM >::scale	(	Vector< scalar_type, NDIM > &	,
		const scalar_type &
	)		const

inlinevirtual

Scales the vector (in-place) by a constant.

$\vec{x} \leftarrow c \vec{x}$

Returns: The scaled vector

Implements madness::AbstractVectorSpace< Vector< T, NDIM >, TensorTypeData< T >::float_scalar_type, T >.

References c, and madness::vec().

Member Data Documentation

◆ iscplx

template<typename T , int NDIM>

const bool madness::VectorSpace< T, NDIM >::iscplx = TensorTypeData<T>::iscomplex

staticprotected

Referenced by madness::VectorSpace< T, NDIM >::inner(), and madness::VectorSpace< T, NDIM >::norm().

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

gmres.h