simple projector class More...

#include <projector.h>

Inheritance diagram for madness::Projector< T, NDIM >:

Collaboration diagram for madness::Projector< T, NDIM >:

Public Member Functions
	Projector ()

	Projector (const funcT &bra, const funcT &ket)
	simple constructor with only one orbital to project More...

	Projector (const Function< T, NDIM > &mo)
	simple constructor with only one orbital to project More...

	Projector (const vecfuncT &bra, const vecfuncT &ket)
	constructor with a set of orbitals to project out More...

	Projector (const vecfuncT &p)
	constructor with a set of orbitals to project out More...

vecfuncT	get_bra_vector () const

vecfuncT	get_ket_vector () const

std::pair< std::vector< Function< T, NDIM > >, std::vector< Function< T, NDIM > > >	get_vectors_for_outer_product (const Function< T, 2 *NDIM > &f) const
	apply the projection parts of the operator on a function f More...

template<typename argT >
std::enable_if<!std::is_same< argT, Function< T, 2 *NDIM > >::value, argT >::type	operator() (const argT &argument) const

funcT	operator() (const funcT &f) const
	project f on p: More...

template<std::size_t KDIM>
std::enable_if< KDIM==2 *NDIM, Function< T, KDIM > >::type	operator() (const Function< T, KDIM > &f, int particle1=-1) const

vecfuncT	operator() (const vecfuncT &f) const
	project f on p: More...

void	set_spaces (const vecfuncT &bra, const vecfuncT &ket)

void	set_spaces (const vecfuncT &p)

virtual std::string	type () const override

Public Member Functions inherited from madness::ProjectorBase
virtual	~ProjectorBase ()

virtual int	get_particle () const

virtual void	set_particle (const int p)

Private Types
typedef Function< T, NDIM >	funcT

typedef std::vector< funcT >	vecfuncT

Private Attributes
std::vector< Function< T, NDIM > >	mo_bra_
	the dual space onto which the test functions will be projected: <bra\| More...

std::vector< Function< T, NDIM > >	mo_ket_
	the space onto which the test functions will be projected: \|ket> More...

Additional Inherited Members
Protected Attributes inherited from madness::ProjectorBase
int	particle =-1
	a projector might work only on a subset of dimensions, e.g. P(1) \| \psi(1,2) > More...

Detailed Description

template<typename T, std::size_t NDIM>
class madness::Projector< T, NDIM >

simple projector class

use this class to project a function or a set of functions on another space of function. The projector can handle different sets of functions for the bra and the ket space, e.g. in case of regularized orbitals: |f> <-> <f|R^2

Member Typedef Documentation

◆ funcT

template<typename T , std::size_t NDIM>

typedef Function<T,NDIM> madness::Projector< T, NDIM >::funcT

private

◆ vecfuncT

template<typename T , std::size_t NDIM>

typedef std::vector<funcT> madness::Projector< T, NDIM >::vecfuncT

private

Constructor & Destructor Documentation

◆ Projector() [1/5]

template<typename T , std::size_t NDIM>

madness::Projector< T, NDIM >::Projector ( )

inline

◆ Projector() [2/5]

template<typename T , std::size_t NDIM>

madness::Projector< T, NDIM >::Projector ( const Function< T, NDIM > & mo )

inline

simple constructor with only one orbital to project

bra and ket spaces are symmetric

◆ Projector() [3/5]

template<typename T , std::size_t NDIM>

madness::Projector< T, NDIM >::Projector	(	const funcT &	bra,
		const funcT &	ket
	)

inline

simple constructor with only one orbital to project

bra and ket spaces are not symmetric (e.g. |ket>^+ = <bra|R2 )

References MADNESS_CHECK_THROW, madness::Projector< T, NDIM >::mo_bra_, and madness::Projector< T, NDIM >::mo_ket_.

◆ Projector() [4/5]

template<typename T , std::size_t NDIM>

madness::Projector< T, NDIM >::Projector ( const vecfuncT & p )

inline

constructor with a set of orbitals to project out

bra and ket spaces are symmetric

References MADNESS_CHECK_THROW, madness::Projector< T, NDIM >::mo_bra_, and madness::Projector< T, NDIM >::mo_ket_.

◆ Projector() [5/5]

template<typename T , std::size_t NDIM>

madness::Projector< T, NDIM >::Projector	(	const vecfuncT &	bra,
		const vecfuncT &	ket
	)

inline

constructor with a set of orbitals to project out

bra and ket spaces are not symmetric (e.g. |ket>^+ = <bra|R2 )

References MADNESS_CHECK_THROW, madness::Projector< T, NDIM >::mo_bra_, and madness::Projector< T, NDIM >::mo_ket_.

Member Function Documentation

◆ get_bra_vector()

template<typename T , std::size_t NDIM>

vecfuncT madness::Projector< T, NDIM >::get_bra_vector ( ) const

inline

References madness::Projector< T, NDIM >::mo_bra_.

◆ get_ket_vector()

template<typename T , std::size_t NDIM>

vecfuncT madness::Projector< T, NDIM >::get_ket_vector ( ) const

inline

References madness::Projector< T, NDIM >::mo_ket_.

◆ get_vectors_for_outer_product()

template<typename T , std::size_t NDIM>

std::pair<std::vector<Function<T,NDIM> >,std::vector<Function<T,NDIM> > > madness::Projector< T, NDIM >::get_vectors_for_outer_product ( const Function< T, 2 *NDIM > & f ) const

inline

apply the projection parts of the operator on a function f

The operator applied on f(1,2) is O(1)f(1,2) = \sum_i |i(1) > <i(1) | f(1,2)>_1 = \sum_i |i(1) f_i(2)> return the lo-dim vectors i and f_i only, perform no outer product

References madness::f, MADNESS_EXCEPTION, madness::Projector< T, NDIM >::mo_bra_, madness::Projector< T, NDIM >::mo_ket_, and madness::reconstruct().

Referenced by madness::Projector< T, NDIM >::operator()().

◆ operator()() [1/4]

template<typename T , std::size_t NDIM>

template<typename argT >

std::enable_if<!std::is_same<argT,Function<T,2*NDIM> >::value, argT>::type madness::Projector< T, NDIM >::operator() ( const argT & argument ) const

inline

References madness::apply().

◆ operator()() [2/4]

template<typename T , std::size_t NDIM>

funcT madness::Projector< T, NDIM >::operator() ( const funcT & f ) const

inline

project f on p:

$| result > = \sum_p | p > <p|f>$

Parameters

[in] f the function to be projected

Returns: the projection of f on the space of p

◆ operator()() [3/4]

template<typename T , std::size_t NDIM>

template<std::size_t KDIM>

std::enable_if<KDIM==2*NDIM, Function<T,KDIM> >::type madness::Projector< T, NDIM >::operator()	(	const Function< T, KDIM > &	f,
		int	particle1 = `-1`
	)		const

inline

apply 3D Projector to one particle of a 6D function

$|result> = \sum_p |p(particle)> <p(particle)|f(1,2)>_{particle}$

Parameters

[in]	f	the 6D function to be projected
[in]	the	particle that is projected (0 or 1)

Returns: the projected function

References madness::f, madness::ProjectorBase::get_particle(), madness::Projector< T, NDIM >::get_vectors_for_outer_product(), madness::hartree_product(), and MADNESS_CHECK_THROW.

◆ operator()() [4/4]

template<typename T , std::size_t NDIM>

vecfuncT madness::Projector< T, NDIM >::operator() ( const vecfuncT & f ) const

inline

project f on p:

$| result > = \sum_p | p > <p|f>$

Parameters

[in] f the vector of functions to be projected

Returns: the projection of f on the space of p

References madness::f, madness::matrix_inner(), madness::Projector< T, NDIM >::mo_bra_, madness::Projector< T, NDIM >::mo_ket_, madness::transform(), and madness::truncate().

◆ set_spaces() [1/2]

template<typename T , std::size_t NDIM>

void madness::Projector< T, NDIM >::set_spaces	(	const vecfuncT &	bra,
		const vecfuncT &	ket
	)

inline

References MADNESS_CHECK_THROW, madness::Projector< T, NDIM >::mo_bra_, and madness::Projector< T, NDIM >::mo_ket_.

◆ set_spaces() [2/2]

template<typename T , std::size_t NDIM>

void madness::Projector< T, NDIM >::set_spaces ( const vecfuncT & p )

inline

References madness::Projector< T, NDIM >::mo_bra_, madness::Projector< T, NDIM >::mo_ket_, and p().

◆ type()

template<typename T , std::size_t NDIM>

virtual std::string madness::Projector< T, NDIM >::type ( ) const

inlineoverridevirtual

Implements madness::ProjectorBase.

Member Data Documentation

◆ mo_bra_

template<typename T , std::size_t NDIM>

std::vector<Function<T,NDIM> > madness::Projector< T, NDIM >::mo_bra_

private

the dual space onto which the test functions will be projected: <bra|

Referenced by madness::Projector< T, NDIM >::Projector(), madness::Projector< T, NDIM >::get_bra_vector(), madness::Projector< T, NDIM >::get_vectors_for_outer_product(), madness::Projector< T, NDIM >::operator()(), and madness::Projector< T, NDIM >::set_spaces().

◆ mo_ket_

template<typename T , std::size_t NDIM>

std::vector<Function<T,NDIM> > madness::Projector< T, NDIM >::mo_ket_

private

the space onto which the test functions will be projected: |ket>

Referenced by madness::Projector< T, NDIM >::Projector(), madness::Projector< T, NDIM >::get_ket_vector(), madness::Projector< T, NDIM >::get_vectors_for_outer_product(), madness::Projector< T, NDIM >::operator()(), and madness::Projector< T, NDIM >::set_spaces().

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

projector.h

Public Member Functions

Private Types

Private Attributes

Additional Inherited Members

Detailed Description

template<typename T, std::size_t NDIM> class madness::Projector< T, NDIM >

Member Typedef Documentation

◆ funcT

◆ vecfuncT

Constructor & Destructor Documentation

◆ Projector() [1/5]

◆ Projector() [2/5]

◆ Projector() [3/5]

◆ Projector() [4/5]

◆ Projector() [5/5]

Member Function Documentation

◆ get_bra_vector()

◆ get_ket_vector()

◆ get_vectors_for_outer_product()

◆ operator()() [1/4]

◆ operator()() [2/4]

◆ operator()() [3/4]

◆ operator()() [4/4]

◆ set_spaces() [1/2]

◆ set_spaces() [2/2]

◆ type()

Member Data Documentation

◆ mo_bra_

◆ mo_ket_

template<typename T, std::size_t NDIM>
class madness::Projector< T, NDIM >