Class representing a piecewise polynomial and utilities. More...

#include <piecewise_polynomial.hpp>

Collaboration diagram for alps::gf::piecewise_polynomial< T >:

Public Member Functions
	piecewise_polynomial ()

	piecewise_polynomial (int k, const std::vector< double > &section_edges)
	Construct an object set to zero. More...

	piecewise_polynomial (int n_section, const std::vector< double > &section_edges, const boost::multi_array< T, 2 > &coeff)

piecewise_polynomial< T > &	operator= (const piecewise_polynomial< T > &other)
	Copy operator. More...

int	order () const
	Order of the polynomial. More...

int	num_sections () const
	Number of sections. More...

double	section_edge (int i) const
	Return an end point. The index i runs from 0 (smallest) to num_sections()+1 (largest). More...

const std::vector< double > &	section_edges () const
	Return a refence to end points. More...

const T &	coefficient (int i, int p) const
	Return the coefficient of $x^p$ for the given section. More...

T &	coefficient (int i, int p)
	Return a reference to the coefficient of $x^p$ for the given section. More...

void	set_zero ()
	Set to zero. More...

T	compute_value (double x) const
	Compute the value at x. More...

T	compute_value (double x, int section) const
	Compute the value at x. x must be in the given section. More...

int	find_section (double x) const
	Find the section involving the given x. More...

template<class T2 >
T	overlap (const piecewise_polynomial< T2 > &other) const
	Compute overlap <this \| other> with complex conjugate. The two objects must have the same sections. More...

double	squared_norm () const
	Compute squared norm. More...

bool	operator== (const piecewise_polynomial< T > &other) const
	Returns whether or not two objects are numerically the same. More...

void	save (alps::hdf5::archive &ar, const std::string &path) const
	Save to a hdf5 file. More...

void	load (alps::hdf5::archive &ar, const std::string &path)
	Load from a hdf5 file. More...

void	save (alps::hdf5::archive &ar) const
	Save to HDF5. More...

void	load (alps::hdf5::archive &ar)
	Load from HDF5. More...

Friends
template<typename TT >
class	piecewise_polynomial

template<typename TT , typename Op >
piecewise_polynomial< TT >	detail::do_op (const piecewise_polynomial< TT > &f1, const piecewise_polynomial< TT > &f2, const Op &op)

template<typename TT >
piecewise_polynomial< TT >	operator+ (const piecewise_polynomial< TT > &f1, const piecewise_polynomial< TT > &f2)

template<typename TT >
piecewise_polynomial< TT >	operator- (const piecewise_polynomial< TT > &f1, const piecewise_polynomial< TT > &f2)

template<typename TT >
const piecewise_polynomial< TT >	operator* (TT scalar, const piecewise_polynomial< TT > &pp)

Detailed Description

template<typename T>
class alps::gf::piecewise_polynomial< T >

Class representing a piecewise polynomial and utilities.

Class for representing a piecewise polynomial A function is represented by a polynomial in each section [x_n, x_{n+1}).

Definition at line 32 of file piecewise_polynomial.hpp.

Constructor & Destructor Documentation

template<typename T>

alps::gf::piecewise_polynomial< T >::piecewise_polynomial ( )

inline

Definition at line 180 of file piecewise_polynomial.hpp.

template<typename T>

alps::gf::piecewise_polynomial< T >::piecewise_polynomial	(	int	k,
		const std::vector< double > &	section_edges
	)

inline

Construct an object set to zero.

Definition at line 183 of file piecewise_polynomial.hpp.

template<typename T>

alps::gf::piecewise_polynomial< T >::piecewise_polynomial	(	int	n_section,
		const std::vector< double > &	section_edges,
		const boost::multi_array< T, 2 > &	coeff
	)

inline

Definition at line 194 of file piecewise_polynomial.hpp.

Member Function Documentation

template<typename T>

const T& alps::gf::piecewise_polynomial< T >::coefficient	(	int	i,
		int	p
	)		const

inline

Return the coefficient of $x^p$ for the given section.

Definition at line 247 of file piecewise_polynomial.hpp.

template<typename T>

T& alps::gf::piecewise_polynomial< T >::coefficient	(	int	i,
		int	p
	)

inline

Return a reference to the coefficient of $x^p$ for the given section.

Definition at line 257 of file piecewise_polynomial.hpp.

template<typename T>

T alps::gf::piecewise_polynomial< T >::compute_value ( double x ) const

inline

Compute the value at x.

Definition at line 272 of file piecewise_polynomial.hpp.

template<typename T>

T alps::gf::piecewise_polynomial< T >::compute_value	(	double	x,
		int	section
	)		const

inline

Compute the value at x. x must be in the given section.

Definition at line 280 of file piecewise_polynomial.hpp.

template<typename T>

int alps::gf::piecewise_polynomial< T >::find_section ( double x ) const

inline

Find the section involving the given x.

Definition at line 298 of file piecewise_polynomial.hpp.

template<typename T>

void alps::gf::piecewise_polynomial< T >::load	(	alps::hdf5::archive &	ar,
		const std::string &	path
	)

inline

Load from a hdf5 file.

Definition at line 368 of file piecewise_polynomial.hpp.

template<typename T>

void alps::gf::piecewise_polynomial< T >::load ( alps::hdf5::archive & ar )

inline

Load from HDF5.

Definition at line 385 of file piecewise_polynomial.hpp.

template<typename T>

int alps::gf::piecewise_polynomial< T >::num_sections ( ) const

inline

Number of sections.

Definition at line 222 of file piecewise_polynomial.hpp.

template<typename T>

piecewise_polynomial<T>& alps::gf::piecewise_polynomial< T >::operator= ( const piecewise_polynomial< T > & other )

inline

Copy operator.

Definition at line 205 of file piecewise_polynomial.hpp.

template<typename T>

bool alps::gf::piecewise_polynomial< T >::operator== ( const piecewise_polynomial< T > & other ) const

inline

Returns whether or not two objects are numerically the same.

Definition at line 352 of file piecewise_polynomial.hpp.

template<typename T>

int alps::gf::piecewise_polynomial< T >::order ( ) const

inline

Order of the polynomial.

Definition at line 217 of file piecewise_polynomial.hpp.

template<typename T>

template<class T2 >

T alps::gf::piecewise_polynomial< T >::overlap ( const piecewise_polynomial< T2 > & other ) const

inline

Compute overlap <this | other> with complex conjugate. The two objects must have the same sections.

Definition at line 316 of file piecewise_polynomial.hpp.

template<typename T>

void alps::gf::piecewise_polynomial< T >::save	(	alps::hdf5::archive &	ar,
		const std::string &	path
	)		const

inline

Save to a hdf5 file.

Definition at line 359 of file piecewise_polynomial.hpp.

template<typename T>

void alps::gf::piecewise_polynomial< T >::save ( alps::hdf5::archive & ar ) const

inline

Save to HDF5.

Definition at line 379 of file piecewise_polynomial.hpp.

template<typename T>

double alps::gf::piecewise_polynomial< T >::section_edge ( int i ) const

inline

Return an end point. The index i runs from 0 (smallest) to num_sections()+1 (largest).

Definition at line 230 of file piecewise_polynomial.hpp.

template<typename T>

const std::vector<double>& alps::gf::piecewise_polynomial< T >::section_edges ( ) const

inline

Return a refence to end points.

Definition at line 239 of file piecewise_polynomial.hpp.

template<typename T>

void alps::gf::piecewise_polynomial< T >::set_zero ( )

inline

Set to zero.

Definition at line 267 of file piecewise_polynomial.hpp.

template<typename T>

double alps::gf::piecewise_polynomial< T >::squared_norm ( ) const

inline

Compute squared norm.

Definition at line 347 of file piecewise_polynomial.hpp.

Friends And Related Function Documentation

template<typename T>

template<typename TT , typename Op >

piecewise_polynomial<TT> detail::do_op	(	const piecewise_polynomial< TT > &	f1,
		const piecewise_polynomial< TT > &	f2,
		const Op &	op
	)

friend

template<typename T>

template<typename TT >

const piecewise_polynomial<TT> operator*	(	TT	scalar,
		const piecewise_polynomial< TT > &	pp
	)

friend

template<typename T>

template<typename TT >

piecewise_polynomial<TT> operator+	(	const piecewise_polynomial< TT > &	f1,
		const piecewise_polynomial< TT > &	f2
	)

friend

template<typename T>

template<typename TT >

piecewise_polynomial<TT> operator-	(	const piecewise_polynomial< TT > &	f1,
		const piecewise_polynomial< TT > &	f2
	)

friend

template<typename T>

template<typename TT >

friend class piecewise_polynomial

friend

Definition at line 135 of file piecewise_polynomial.hpp.

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

alps/gf/piecewise_polynomial.hpp

Public Member Functions

Friends

Detailed Description

template<typename T> class alps::gf::piecewise_polynomial< T >

Constructor & Destructor Documentation

Member Function Documentation

Friends And Related Function Documentation

template<typename T>
class alps::gf::piecewise_polynomial< T >