class representing a nested cluster basis

#include <TClusterBasis.hh>

Inheritance diagram for TClusterBasis< T >:

Public Types
using	value_t = T
	value type of cluster basis

using	son_iter_t = typename std::vector< TClusterBasis *>::iterator
	iterator for sons

Public Member Functions
	TClusterBasis (const TIndexSet &is, const BLAS::Matrix< T > &V)

	TClusterBasis (const TIndexSet &is, const std::vector< TClusterBasis< T > * > &asons, const std::vector< BLAS::Matrix< T > > &aE)

	TClusterBasis (const TIndexSet &is, const std::vector< TClusterBasis< T > * > &asons)

virtual	~TClusterBasis ()
	dtor: delete all sons

virtual size_t	nnodes () const
	return no of nodes

virtual size_t	depth () const
	return depth of tree

uint	rank () const
	return basis rank

size_t	nsons () const
	return number of sons

TClusterBasis *	son (const size_t i)
	return i'th son basis

const BLAS::Matrix< T > &	basis () const
	access to explicit local basis

const BLAS::Matrix< T > &	transfer_mat (const uint i) const
	access to transfer matrices

void	truncate (const TTruncAcc &acc)
	truncate basis as defined by accuracy acc

BLAS::Vector< T >	transfer_to_son (const uint i, const BLAS::Vector< T > &s) const
	transfer given data to basis of i'th son and return result

TUniformVector *	build_vec () const
	construct uniform vector corresponding to cluster basis

void	transform_forward (const BLAS::Vector< T > &v, BLAS::Vector< T > &s) const
	forward transformation: s ≔ V^H · v

TUniformVector *	transform_forward (const TVector *v) const
	forward transformation: return uniform vector

template<typename T_mat >
void	transform_forward (const BLAS::MatrixBase< T_mat > &M, BLAS::Matrix< T > &S) const
	block forward transformation: S ≔ V^H · M

void	transform_backward (const BLAS::Vector< T > &s, BLAS::Vector< T > &v) const
	backward transformation: v ≔ V · s

TVector *	transform_backward (const TUniformVector *v) const
	backward transformation: return transformed vector

template<typename T_mat >
void	transform_backward (const BLAS::MatrixBase< T_mat > &S, BLAS::Matrix< T > &M) const
	block backward transformation: M ≔ V · S

virtual auto	copy () const -> std::unique_ptr< TClusterBasis< T > >
	return copy of basis

virtual size_t	byte_size () const
	return size in bytes used by this object

virtual void	print (const uint ofs=0) const
	print basis to terminal

Public Member Functions inherited from TIndexSet
	TIndexSet () noexcept
	construct empty index set

	TIndexSet (const size_t n) noexcept
	construct indexset if size n

	TIndexSet (const idx_t afirst, const idx_t alast) noexcept
	construct indexset by first and last index

	TIndexSet (const TIndexSet &is) noexcept
	copy constructor

idx_t	first () const noexcept
	return first index in set

idx_t	last () const noexcept
	return last index in set

size_t	size () const noexcept
	return last index in set

void	set_first_last (const idx_t afirst, const idx_t alast) noexcept
	set indexset by first and last index

void	set_first_size (const idx_t afirstf, const size_t asize) noexcept
	set indexset by first and size

bool	is_in (const idx_t idx) const noexcept
	return true if given index is part of indexset and false otherwise

bool	is_sub (const TIndexSet &is) const noexcept
	return true if given indexset is subset

bool	is_subset_of (const TIndexSet &is) const noexcept
	return true if local indexset is subset of given indexset

bool	is_empty () const noexcept
	return true if indexset is empty

TIndexSet &	operator= (const TIndexSet &is) noexcept
	copy operator

bool	operator== (const TIndexSet &is) const noexcept
	equality operator

bool	operator!= (const TIndexSet &is) const noexcept
	inequality operator

bool	is_strictly_left_of (const TIndexSet &is) const noexcept
	this is strictly left of is iff ∀ i ∈ this, j ∈ is : i < j

bool	is_left_or_equal_to (const TIndexSet &is) const noexcept
	this is left or equal to is iff this ∖ is < is

bool	is_strictly_right_of (const TIndexSet &is) const noexcept
	this is strictly right of is iff ∀ i ∈ this, j ∈ is : i > j

bool	is_right_or_equal_to (const TIndexSet &is) const noexcept
	this is right or equal to is iff this ∖ is > is

std::string	to_string () const
	string output

size_t	byte_size () const
	return size in bytes used by this object

Public Member Functions inherited from TTypeInfo
virtual typeid_t	type () const =0
	return type ID of object

virtual bool	is_type (const typeid_t t) const
	return true if local object is of given type ID t

virtual std::string	typestr () const
	return string representation of type

Constructor & Destructor Documentation

◆ TClusterBasis() [1/3]

TClusterBasis	(	const TIndexSet &	is,
		const BLAS::Matrix< T > &	V
	)

construct cluster basis corresponding to cluster cl with basis defined by V

◆ TClusterBasis() [2/3]

TClusterBasis	(	const TIndexSet &	is,
		const std::vector< TClusterBasis< T > * > &	asons,
		const std::vector< BLAS::Matrix< T > > &	aE
	)

construct cluster basis corresponding to cluster cl with son bases asons and transfer matrices aE

◆ TClusterBasis() [3/3]

TClusterBasis	(	const TIndexSet &	is,
		const std::vector< TClusterBasis< T > * > &	asons
	)

construct cluster basis corresponding to cluster cl with son bases asons (no transfer matrices)

Public Types

Public Member Functions

Constructor & Destructor Documentation

◆ TClusterBasis() [1/3]

◆ TClusterBasis() [2/3]

◆ TClusterBasis() [3/3]