#include <mat_SU_N.h>

Public Member Functions
	Mat_SU_N (int Nc, double r=0.0)

Mat_SU_N &	dag ()

Mat_SU_N &	ht ()

Mat_SU_N &	ah ()
	antihermitian More...

Mat_SU_N &	at ()
	antihermitian traceless More...

Mat_SU_N &	unit ()

Mat_SU_N &	zero ()

Mat_SU_N &	xI ()

Mat_SU_N &	reunit ()

Mat_SU_N &	reunit_SU3 ()

Mat_SU_N &	reunit_SU2 ()

Mat_SU_N &	reunit_general ()

Mat_SU_N &	set_random (RandomNumbers *rand)

Mat_SU_N &	set_random_SU3 (RandomNumbers *)

Mat_SU_N &	set_random_SU2 (RandomNumbers *)

Mat_SU_N &	set_random_general (RandomNumbers *)

int	nc () const

Mat_SU_N &	operator- ()

Mat_SU_N &	operator= (const double &)

Mat_SU_N &	operator+= (const Mat_SU_N &)

Mat_SU_N &	operator+= (const double &)

Mat_SU_N &	operator-= (const Mat_SU_N &)

Mat_SU_N &	operator-= (const double &)

Mat_SU_N &	operator*= (const Mat_SU_N &)

Mat_SU_N &	operator*= (const double &)

Mat_SU_N &	operator/= (const double &)

int	size () const

double	r (int c) const

double	i (int c) const

dcomplex	c (int c) const

double	r (int c1, int c2) const

double	i (int c1, int c2) const

dcomplex	c (int c1, int c2) const

void	set_r (int c, const double &re)

void	set_i (int c, const double &im)

void	set_c (int c, const dcomplex &z)

void	set_r (int c1, int c2, const double &re)

void	set_i (int c1, int c2, const double &im)

void	set (int c, const double &re, const double &im)

void	set (int c1, int c2, const double &re, const double &im)

void	set (int c, const dcomplex &z)

void	set (int c1, int c2, const dcomplex &z)

void	add (int c, const double &re, const double &im)

void	add (int c1, int c2, const double &re, const double &im)

void	add (int c, const dcomplex &z)

void	add (int c1, int c2, const dcomplex &z)

double	norm2 ()

void	mult_nn (const Mat_SU_N &u1, const Mat_SU_N &u2)

void	multadd_nn (const Mat_SU_N &u1, const Mat_SU_N &u2)

void	mult_nd (const Mat_SU_N &u1, const Mat_SU_N &u2)

void	multadd_nd (const Mat_SU_N &u1, const Mat_SU_N &u2)

void	mult_dn (const Mat_SU_N &u1, const Mat_SU_N &u2)

void	multadd_dn (const Mat_SU_N &u1, const Mat_SU_N &u2)

void	zcopy (double re, double im, const Mat_SU_N &v)

void	zcopy (dcomplex z, const Mat_SU_N &v)

void	zaxpy (double re, double im, const Mat_SU_N &v)

void	zaxpy (dcomplex z, const Mat_SU_N &v)

Private Attributes
int	m_Nc

std::valarray< double >	va

Mat_SU_N &(Mat_SU_N::*	m_reunit )()

Mat_SU_N &(SU_N::Mat_SU_N::*	m_set_random )(RandomNumbers *)
	pointer to reunitalization. More...

Detailed Description

SU(N) matrix operations. Reunitarization is generalized to general value of Nc. Setting random matrix is not for SU(2) which is to be implemented. [07 May 2014 H.Matsufuru] Add complex args and returns [08 Aug 2020 Y.Namekawa]

Definition at line 36 of file mat_SU_N.h.

Constructor & Destructor Documentation

◆ Mat_SU_N()

SU_N::Mat_SU_N::Mat_SU_N	(	int	Nc,
		double	r = `0.0`
	)

inlineexplicit

Definition at line 47 of file mat_SU_N.h.

Member Function Documentation

◆ add() [1/4]

void SU_N::Mat_SU_N::add	(	int	c,
		const dcomplex &	z
	)

inline

Definition at line 170 of file mat_SU_N.h.

◆ add() [2/4]

void SU_N::Mat_SU_N::add	(	int	c,
		const double &	re,
		const double &	im
	)

inline

Definition at line 159 of file mat_SU_N.h.

◆ add() [3/4]

void SU_N::Mat_SU_N::add	(	int	c1,
		int	c2,
		const dcomplex &	z
	)

inline

Definition at line 176 of file mat_SU_N.h.

◆ add() [4/4]

void SU_N::Mat_SU_N::add	(	int	c1,
		int	c2,
		const double &	re,
		const double &	im
	)

inline

Definition at line 165 of file mat_SU_N.h.

◆ ah()

Mat_SU_N & SU_N::Mat_SU_N::ah ( )

inline

antihermitian

Definition at line 403 of file mat_SU_N.h.

◆ at()

Mat_SU_N & SU_N::Mat_SU_N::at ( )

inline

antihermitian traceless

Definition at line 375 of file mat_SU_N.h.

◆ c() [1/2]

dcomplex SU_N::Mat_SU_N::c ( int c ) const

inline

Definition at line 117 of file mat_SU_N.h.

◆ c() [2/2]

dcomplex SU_N::Mat_SU_N::c	(	int	c1,
		int	c2
	)		const

inline

Definition at line 121 of file mat_SU_N.h.

◆ dag()

Mat_SU_N & SU_N::Mat_SU_N::dag ( )

inline

Definition at line 329 of file mat_SU_N.h.

◆ ht()

Mat_SU_N & SU_N::Mat_SU_N::ht ( )

inline

Definition at line 347 of file mat_SU_N.h.

◆ i() [1/2]

double SU_N::Mat_SU_N::i ( int c ) const

inline

Definition at line 116 of file mat_SU_N.h.

◆ i() [2/2]

double SU_N::Mat_SU_N::i	(	int	c1,
		int	c2
	)		const

inline

Definition at line 120 of file mat_SU_N.h.

◆ mult_dn()

void SU_N::Mat_SU_N::mult_dn	(	const Mat_SU_N &	u1,
		const Mat_SU_N &	u2
	)

inline

Definition at line 257 of file mat_SU_N.h.

◆ mult_nd()

void SU_N::Mat_SU_N::mult_nd	(	const Mat_SU_N &	u1,
		const Mat_SU_N &	u2
	)

inline

Definition at line 223 of file mat_SU_N.h.

◆ mult_nn()

void SU_N::Mat_SU_N::mult_nn	(	const Mat_SU_N &	u1,
		const Mat_SU_N &	u2
	)

inline

Definition at line 189 of file mat_SU_N.h.

◆ multadd_dn()

void SU_N::Mat_SU_N::multadd_dn	(	const Mat_SU_N &	u1,
		const Mat_SU_N &	u2
	)

inline

Definition at line 275 of file mat_SU_N.h.

◆ multadd_nd()

void SU_N::Mat_SU_N::multadd_nd	(	const Mat_SU_N &	u1,
		const Mat_SU_N &	u2
	)

inline

Definition at line 241 of file mat_SU_N.h.

◆ multadd_nn()

void SU_N::Mat_SU_N::multadd_nn	(	const Mat_SU_N &	u1,
		const Mat_SU_N &	u2
	)

inline

Definition at line 207 of file mat_SU_N.h.

◆ nc()

int SU_N::Mat_SU_N::nc ( ) const

inline

Definition at line 87 of file mat_SU_N.h.

◆ norm2()

double SU_N::Mat_SU_N::norm2 ( )

inline

Definition at line 181 of file mat_SU_N.h.

◆ operator*=() [1/2]

Mat_SU_N & SU_N::Mat_SU_N::operator*= ( const double & rhs )

inline

Definition at line 510 of file mat_SU_N.h.

◆ operator*=() [2/2]

Mat_SU_N & SU_N::Mat_SU_N::operator*= ( const Mat_SU_N & rhs )

inline

Definition at line 489 of file mat_SU_N.h.

◆ operator+=() [1/2]

Mat_SU_N & SU_N::Mat_SU_N::operator+= ( const double & rhs )

inline

Definition at line 475 of file mat_SU_N.h.

◆ operator+=() [2/2]

Mat_SU_N & SU_N::Mat_SU_N::operator+= ( const Mat_SU_N & rhs )

inline

Definition at line 454 of file mat_SU_N.h.

◆ operator-()

Mat_SU_N & SU_N::Mat_SU_N::operator- ( )

inline

Definition at line 447 of file mat_SU_N.h.

◆ operator-=() [1/2]

Mat_SU_N & SU_N::Mat_SU_N::operator-= ( const double & rhs )

inline

Definition at line 482 of file mat_SU_N.h.

◆ operator-=() [2/2]

Mat_SU_N & SU_N::Mat_SU_N::operator-= ( const Mat_SU_N & rhs )

inline

Definition at line 461 of file mat_SU_N.h.

◆ operator/=()

Mat_SU_N & SU_N::Mat_SU_N::operator/= ( const double & rhs )

inline

Definition at line 527 of file mat_SU_N.h.

◆ operator=()

Mat_SU_N & SU_N::Mat_SU_N::operator= ( const double & rhs )

inline

Definition at line 468 of file mat_SU_N.h.

◆ r() [1/2]

double SU_N::Mat_SU_N::r ( int c ) const

inline

Definition at line 115 of file mat_SU_N.h.

◆ r() [2/2]

double SU_N::Mat_SU_N::r	(	int	c1,
		int	c2
	)		const

inline

Definition at line 119 of file mat_SU_N.h.

◆ reunit()

Mat_SU_N& SU_N::Mat_SU_N::reunit ( )

inline

Definition at line 72 of file mat_SU_N.h.

◆ reunit_general()

Mat_SU_N & Mat_SU_N::reunit_general ( )

Definition at line 117 of file mat_SU_N.cpp.

◆ reunit_SU2()

Mat_SU_N & Mat_SU_N::reunit_SU2 ( )

Definition at line 91 of file mat_SU_N.cpp.

◆ reunit_SU3()

Mat_SU_N & Mat_SU_N::reunit_SU3 ( )

Definition at line 18 of file mat_SU_N.cpp.

◆ set() [1/4]

void SU_N::Mat_SU_N::set	(	int	c,
		const dcomplex &	z
	)

inline

Definition at line 148 of file mat_SU_N.h.

◆ set() [2/4]

void SU_N::Mat_SU_N::set	(	int	c,
		const double &	re,
		const double &	im
	)

inline

Definition at line 137 of file mat_SU_N.h.

◆ set() [3/4]

void SU_N::Mat_SU_N::set	(	int	c1,
		int	c2,
		const dcomplex &	z
	)

inline

Definition at line 154 of file mat_SU_N.h.

◆ set() [4/4]

void SU_N::Mat_SU_N::set	(	int	c1,
		int	c2,
		const double &	re,
		const double &	im
	)

inline

Definition at line 143 of file mat_SU_N.h.

◆ set_c()

void SU_N::Mat_SU_N::set_c	(	int	c,
		const dcomplex &	z
	)

inline

Definition at line 125 of file mat_SU_N.h.

◆ set_i() [1/2]

void SU_N::Mat_SU_N::set_i	(	int	c,
		const double &	im
	)

inline

Definition at line 124 of file mat_SU_N.h.

◆ set_i() [2/2]

void SU_N::Mat_SU_N::set_i	(	int	c1,
		int	c2,
		const double &	im
	)

inline

Definition at line 132 of file mat_SU_N.h.

◆ set_r() [1/2]

void SU_N::Mat_SU_N::set_r	(	int	c,
		const double &	re
	)

inline

Definition at line 123 of file mat_SU_N.h.

◆ set_r() [2/2]

void SU_N::Mat_SU_N::set_r	(	int	c1,
		int	c2,
		const double &	re
	)

inline

Definition at line 127 of file mat_SU_N.h.

◆ set_random()

Mat_SU_N& SU_N::Mat_SU_N::set_random ( RandomNumbers * rand )

inline

Definition at line 77 of file mat_SU_N.h.

◆ set_random_general()

Mat_SU_N & Mat_SU_N::set_random_general ( RandomNumbers * rand )

Definition at line 196 of file mat_SU_N.cpp.

◆ set_random_SU2()

Mat_SU_N & Mat_SU_N::set_random_SU2 ( RandomNumbers * rand )

Definition at line 186 of file mat_SU_N.cpp.

◆ set_random_SU3()

Mat_SU_N & Mat_SU_N::set_random_SU3 ( RandomNumbers * rand )

Definition at line 148 of file mat_SU_N.cpp.

◆ size()

int SU_N::Mat_SU_N::size ( ) const

inline

Definition at line 114 of file mat_SU_N.h.

◆ unit()

Mat_SU_N & SU_N::Mat_SU_N::unit ( )

inline

Definition at line 419 of file mat_SU_N.h.

◆ xI()

Mat_SU_N & SU_N::Mat_SU_N::xI ( )

inline

Definition at line 436 of file mat_SU_N.h.

◆ zaxpy() [1/2]

void SU_N::Mat_SU_N::zaxpy	(	dcomplex	z,
		const Mat_SU_N &	v
	)

inline

Definition at line 317 of file mat_SU_N.h.

◆ zaxpy() [2/2]

void SU_N::Mat_SU_N::zaxpy	(	double	re,
		double	im,
		const Mat_SU_N &	v
	)

inline

Definition at line 309 of file mat_SU_N.h.

◆ zcopy() [1/2]

void SU_N::Mat_SU_N::zcopy	(	dcomplex	z,
		const Mat_SU_N &	v
	)

inline

Definition at line 299 of file mat_SU_N.h.

◆ zcopy() [2/2]

void SU_N::Mat_SU_N::zcopy	(	double	re,
		double	im,
		const Mat_SU_N &	v
	)

inline

Definition at line 291 of file mat_SU_N.h.

◆ zero()

Mat_SU_N & SU_N::Mat_SU_N::zero ( )

inline

Definition at line 429 of file mat_SU_N.h.

Member Data Documentation

◆ m_Nc

int SU_N::Mat_SU_N::m_Nc

private

Definition at line 38 of file mat_SU_N.h.

◆ m_reunit

Mat_SU_N&(Mat_SU_N::* SU_N::Mat_SU_N::m_reunit) ()

private

Definition at line 40 of file mat_SU_N.h.

◆ m_set_random

Mat_SU_N&(SU_N::Mat_SU_N::* SU_N::Mat_SU_N::m_set_random) (RandomNumbers *)

private

pointer to reunitalization.

pointer to random matrix setting.

Definition at line 41 of file mat_SU_N.h.

◆ va

std::valarray<double> SU_N::Mat_SU_N::va

private

Definition at line 39 of file mat_SU_N.h.

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

src/lib/Tools/mat_SU_N.h
src/lib/Tools/mat_SU_N.cpp

Public Member Functions

Private Attributes

Detailed Description

Constructor & Destructor Documentation

◆ Mat_SU_N()

Member Function Documentation

◆ add() [1/4]

◆ add() [2/4]

◆ add() [3/4]

◆ add() [4/4]

◆ ah()

◆ at()

◆ c() [1/2]

◆ c() [2/2]

◆ dag()

◆ ht()

◆ i() [1/2]

◆ i() [2/2]

◆ mult_dn()

◆ mult_nd()

◆ mult_nn()

◆ multadd_dn()

◆ multadd_nd()

◆ multadd_nn()

◆ nc()

◆ norm2()

◆ operator*=() [1/2]

◆ operator*=() [2/2]

◆ operator+=() [1/2]

◆ operator+=() [2/2]

◆ operator-()

◆ operator-=() [1/2]

◆ operator-=() [2/2]

◆ operator/=()

◆ operator=()

◆ r() [1/2]

◆ r() [2/2]

◆ reunit()

◆ reunit_general()

◆ reunit_SU2()

◆ reunit_SU3()

◆ set() [1/4]

◆ set() [2/4]

◆ set() [3/4]

◆ set() [4/4]

◆ set_c()

◆ set_i() [1/2]

◆ set_i() [2/2]

◆ set_r() [1/2]

◆ set_r() [2/2]

◆ set_random()

◆ set_random_general()

◆ set_random_SU2()

◆ set_random_SU3()

◆ size()

◆ unit()

◆ xI()

◆ zaxpy() [1/2]

◆ zaxpy() [2/2]

◆ zcopy() [1/2]

◆ zcopy() [2/2]

◆ zero()

Member Data Documentation

◆ m_Nc

◆ m_reunit

◆ m_set_random

◆ va