#include <Orthogonal_basis.h>

Inheritance diagram for ColorFull::Orthogonal_basis:

Public Member Functions
	Orthogonal_basis ()

void	scalar_product_matrix ()

void	diagonal_scalar_product_matrix (bool save_P_diagonal_spm, bool save_d_diagonal_spm, bool use_mem)

Poly_vec	decompose (const Col_amp &Ca)

Polynomial	scalar_product (const Col_amp &Ca1, const Col_amp &Ca2)

cnum	scalar_product_num (const Col_amp &Ca1, const Col_amp &Ca2)

cnum	scalar_product_num (const cvec &v1, const cvec &v2)

std::string	diagonal_spm_file_name (const bool leading, const bool poly) const

void	write_out_diagonal_d_spm (std::string filename) const

void	write_out_diagonal_d_spm () const

void	write_out_diagonal_P_spm (std::string filename) const

void	write_out_diagonal_P_spm () const

void	write_out_diagonal_spm (const dvec &dv, const bool leading) const

void	write_out_diagonal_spm (const Poly_vec &pv, const bool leading) const

Public Member Functions inherited from ColorFull::Col_basis
	Col_basis ()

virtual	~Col_basis ()

bool	is_Trace_basis () const

bool	is_Orthogonal_basis () const

bool	is_Tree_level_gluon_basis () const

uint	size () const

const Col_amp &	at (const int i) const

Col_amp &	at (const int i)

bool	empty () const

void	clear ()

void	append (Col_amp Ca)

void	append (col_basis cb_in)

void	scalar_product_matrix ()

void	scalar_product_matrix_num ()

virtual void	scalar_product_matrix_no_mem ()

void	scalar_product_matrix_num_no_mem ()

void	leading_scalar_product_matrix ()

cnum	scalar_product_num_diagonal (const cvec &v1, const cvec &v2)

std::string	basis_file_name () const

std::string	spm_file_name (const bool leading, const bool poly) const

virtual void	read_in_Col_basis (std::string filename)

virtual void	read_in_Col_basis ()

void	read_in_d_spm (std::string filename)

void	read_in_d_spm ()

void	read_in_leading_d_spm (std::string filename)

void	read_in_leading_d_spm ()

void	read_in_P_spm (std::string filename)

void	read_in_P_spm ()

void	read_in_leading_P_spm (std::string filename)

void	read_in_leading_P_spm ()

virtual void	write_out_Col_basis (std::string filename) const

virtual void	write_out_Col_basis () const

void	write_out_d_spm (std::string filename) const

void	write_out_d_spm () const

void	write_out_P_spm (std::string filename) const

void	write_out_P_spm () const

void	write_out_leading_d_spm (std::string filename) const

void	write_out_leading_d_spm () const

void	write_out_leading_P_spm (std::string filename) const

void	write_out_leading_P_spm () const

void	simplify ()

Col_amp	exchange_gluon (uint vec, int p1, int p2)

Poly_matr	color_gamma (int p1, int p2)

int	n_quark_check () const

int	n_gluon_check () const

void	rename_indices (Col_str &Cs1, Col_str &Cs2) const

Public Attributes
dvec	diagonal_d_spm

Poly_vec	diagonal_P_spm

Public Attributes inherited from ColorFull::Col_basis
int	nq

int	ng

col_basis	cb

Poly_matr	P_spm

Poly_matr	leading_P_spm

dmatr	d_spm

dmatr	leading_d_spm

Col_functions	Col_fun

Additional Inherited Members
Protected Member Functions inherited from ColorFull::Col_basis
virtual Polynomial	ij_entry (const int i, const int j) const

bool	check_diagonal (const dmatr &matr) const

bool	check_symmetry (const dmatr &matr) const

void	check_spm () const

void	Col_basis_of_str (std::string str)

virtual std::ostream &	write_out_Col_basis_to_stream (std::ostream &out) const

Protected Attributes inherited from ColorFull::Col_basis
bool	trace_basis

bool	tree_level_gluon_basis

bool	orthogonal_basis

Detailed Description

This class is for containing orthogonal bases, i.e. bases where the scalar product matrix is diagonal. ColorFull has (currently) no functionality for creating orthogonal bases, but orthogonal bases can be read in using read_in _Col_basis.

Constructor & Destructor Documentation

◆ Orthogonal_basis()

ColorFull::Orthogonal_basis::Orthogonal_basis ( )

inline

Default constructor, puts private variable orthogonal_basis=true and calls the constructor of Col_basis.

Member Function Documentation

◆ decompose()

Poly_vec ColorFull::Orthogonal_basis::decompose ( const Col_amp & Ca )

virtual

The decomposition of a Col_amp in an orthogonal basis is done by calculating scalar products and dividing out the norm. The norm is evaluated numerically.

Reimplemented from ColorFull::Col_basis.

◆ diagonal_scalar_product_matrix()

void ColorFull::Orthogonal_basis::diagonal_scalar_product_matrix	(	bool	save_P_diagonal_spm,
		bool	save_d_diagonal_spm,
		bool	use_mem
	)

Calculates the diagonal entries in the scalar product matrix, and (depending on arguments), saves them to the member variables diagonal_P_spm and diagonal_d_spm. This function is used by the Orthogonal_basis version of scalar_product_matrix.

◆ diagonal_spm_file_name()

std::string ColorFull::Orthogonal_basis::diagonal_spm_file_name	(	const bool	leading,
		const bool	poly
	)		const

Creates a default filename for writing out diagonal scalar products. The boolean variable leading should be true if the name is for a leading Nc variable. The filename is then modified accordingly.

◆ scalar_product()

Polynomial ColorFull::Orthogonal_basis::scalar_product	(	const Col_amp &	Ca1,
		const Col_amp &	Ca2
	)

virtual

Function for calculating scalar products given the information about the basis and the scalar product matrix in the basis. The Col_amps are first decomposed using decompose, and then squared using the scalar product matrix P_spm. An orthogonal scalar product matrix is assumed.

Reimplemented from ColorFull::Col_basis.

◆ scalar_product_matrix()

void ColorFull::Orthogonal_basis::scalar_product_matrix ( )

Calculates the scalar product matrix assuming the basis to be orthogonal. Calculates both the double (d_spm) and the Polynomial (P_spm) matrices and saves to default file names.

◆ scalar_product_num() [1/2]

cnum ColorFull::Orthogonal_basis::scalar_product_num	(	const Col_amp &	Ca1,
		const Col_amp &	Ca2
	)

virtual

Function for calculating scalar products given the information about the basis and the scalar product matrix in numerical form. The Col_amps are first decomposed using decompose, and then squared using diagonal_d_spm. For Orthogonal_basis, an orthogonal scalar product matrix is assumed.

Reimplemented from ColorFull::Col_basis.

◆ scalar_product_num() [2/2]

cnum ColorFull::Orthogonal_basis::scalar_product_num	(	const cvec &	v1,
		const cvec &	v2
	)

virtual

Calculates the scalar product between decomposed amplitudes v1, V2 using the diagonal_d_spm diagonal numerical scalar product matrix. The vectors needs to be expressed in the basis contained in cb, i.e., the decomposition has to be known.

Reimplemented from ColorFull::Col_basis.

◆ write_out_diagonal_d_spm() [1/2]

void ColorFull::Orthogonal_basis::write_out_diagonal_d_spm ( std::string filename ) const

Writes out diagonal_d_spm to the file filename.

◆ write_out_diagonal_d_spm() [2/2]

void ColorFull::Orthogonal_basis::write_out_diagonal_d_spm ( ) const

Writes out diagonal_d_spm to the standard filename, see diagonal_spm_file_name.

◆ write_out_diagonal_P_spm() [1/2]

void ColorFull::Orthogonal_basis::write_out_diagonal_P_spm ( std::string filename ) const

Writes out diagonal_P_spm to the file filename.

◆ write_out_diagonal_P_spm() [2/2]

void ColorFull::Orthogonal_basis::write_out_diagonal_P_spm ( ) const

Writes out diagonal_P_spm to the standard filename, see diagonal_spm_file_name.

◆ write_out_diagonal_spm() [1/2]

void ColorFull::Orthogonal_basis::write_out_diagonal_spm	(	const dvec &	dv,
		const bool	leading
	)		const

Function for writing out a dvec (the diagonal scalar products, diagonal_d_spm) to a file with standard filename given by diagonal_spm_file_name. The boolean variable leading should be true if dv only has leading Nc contributions. The filename is then modified accordingly.

◆ write_out_diagonal_spm() [2/2]

void ColorFull::Orthogonal_basis::write_out_diagonal_spm	(	const Poly_vec &	pv,
		const bool	leading
	)		const

Function for writing out a Poly_vec (the diagonal scalar products, diagonal_d_spm) to a file with standard filename given by diagonal_spm_file_name. The boolean variable leading should be true if Poly_vec only has leading Nc contributions. The filename is then modified accordingly.

Member Data Documentation

◆ diagonal_d_spm

dvec ColorFull::Orthogonal_basis::diagonal_d_spm

To contain information about scalar products as a dvec, i.e., entry i is the square of vector i.

◆ diagonal_P_spm

Poly_vec ColorFull::Orthogonal_basis::diagonal_P_spm

To contain information about scalar products as a Poly_vec, i.e., entry i is the square of vector i.

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

/data/Documents/eclipse/workspace/ColorFull/Orthogonal_basis.h

Public Member Functions

Public Attributes

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

◆ Orthogonal_basis()

Member Function Documentation

◆ decompose()

◆ diagonal_scalar_product_matrix()

◆ diagonal_spm_file_name()

◆ scalar_product()

◆ scalar_product_matrix()

◆ scalar_product_num() [1/2]

◆ scalar_product_num() [2/2]

◆ write_out_diagonal_d_spm() [1/2]

◆ write_out_diagonal_d_spm() [2/2]

◆ write_out_diagonal_P_spm() [1/2]

◆ write_out_diagonal_P_spm() [2/2]

◆ write_out_diagonal_spm() [1/2]

◆ write_out_diagonal_spm() [2/2]

Member Data Documentation

◆ diagonal_d_spm

◆ diagonal_P_spm