Compute Jacobian and its sign determinant. More...

#include <field_potential.hpp>

Inheritance diagram for Potential:

Public Member Functions
	Potential ()
	Constructor of Potential.

	Potential (const int n1, const int n2, const Distribution n3=Distribution::Zero_conf)
	Set Li, num_f, and field.

	Potential (const MatrixXcd &m)
	Set Li and field from MatrixXcd, but num_f such as num_f(num_f+1)/2==field.cols()

	Potential (const MatrixXcd &m, const int num_field)
	Set Li and field from MatrixXcd, but num_f=num_field

virtual	~Potential ()
	Destructor of Potential.

virtual bool	operator== (const Potential &p)
	Is identical (Li, num_f) ?

virtual bool	operator!= (const Potential &p)
	Not identical (Li, num_f) ?

int	sign_det (const int debug=0) const
	Sign determinant with a fast algorithm (num_f < 4)

int	sign_det4multifield (const int debug=0) const
	Sign determinant for mutli-superfield.

virtual void	show () const
	Output Li, field.

Public Member Functions inherited from Field
	Field ()
	Constructor of Field.

	Field (const int n1, const int n2)
	Set Li=n1 and num_f=n2.

	Field (const int n1, const int n2, const Distribution n3, const double mean=0.0, const double dev=1.0)
	Set Li, num_f, and field.

	Field (const int n1, const int n2, const int n3, const Distribution n4, const double mean=0.0, const double dev=1.0)
	Set Li, num_f, and field; n3 is.

	Field (const VectorXcd &v, const int num_field=1)
	Set Li, num_f, and field from VectorXcd.

	Field (const VectorXd &v, const int num_field)
	Set Li and field from VectorXd; num_f!=field.cols()

	Field (const MatrixXcd &m)
	Set Li, num_f, and field from MatrixXcd.

	Field (const MatrixXcd &m, const int num_field)
	Set Li and field from MatrixXcd, but num_f=num_field

virtual	~Field ()
	Destructor of Field.

MatrixXcd	conf () const

VectorXcd	conf (const int n) const

VectorXd	conf_real (const int n) const

VectorXd	conf_imag (const int n) const

virtual bool	operator== (const Field &f)
	Is identical (Li, num_f) ?

virtual bool	operator!= (const Field &f)
	Not identical (Li, num_f) ?

virtual Field &	operator*= (const double n)
	Multiply by a real number n.

virtual Field &	operator/= (const double n)
	Devide by a real number n.

Field	conv (const int n1, const int n2) const
	Convolution field(:,n1)field(:,n2)*

Field	conjconv (const int n) const
	Convolution field(:,n)conf(field(:,n))*

Field	conv_pw (const int pw, const int n=0) const
	Convolution field(:,n)field(:,n)...field(:,n)*

Field	combine_with (const Field &f)
	Combine with another Field object; Mutate field (Li and num_f are unchaged) except for the case that field is empty.

Additional Inherited Members
Static Public Member Functions inherited from Field
static Field	Zero (const int n1, const int n2)

static Field	Zero (const int n1, const int n2, const int n3)

static Field	Gauss (const int n1, const int n2, const double mean=0.0, const double dev=1.0)

static Field	Gauss (const int n1, const int n2, const int n3, const double mean=0.0, const double dev=1.0)

static Field	GaussL (const int n1, const int n2, const double mean=0.0)

static Field	GaussL (const int n1, const int n2, const int n3, const double mean=0.0)

static Field	GaussMT (const int n1, const int n2, const double mean=0.0, const double dev=1.0)

static Field	GaussMT (const int n1, const int n2, const int n3, const double mean=0.0, const double dev=1.0)

static Field	GaussMTL (const int n1, const int n2, const double mean=0.0)

static Field	GaussMTL (const int n1, const int n2, const int n3, const double mean=0.0)

static Field	Vector (const VectorXcd &v, const int num_field=1)

static Field	Matrix (const MatrixXcd &m)

static Field	Matrix (const MatrixXcd &m, const int num_field)

Protected Member Functions inherited from Field
void	setgauss (const int num_col, const double mean=0.0, const double dev=1.0)

void	setgaussl (const int num_col, const double mean=0.0)

void	setgaussmt (const int num_col, const double mean=0.0, const double dev=1.0)

void	setgaussmtl (const int num_col, const double mean=0.0)

void	setconf (const int num_col, const Distribution n, const double mean=0.0, const double dev=1.0)

void	setconf (const VectorXcd &v, const int num_field=1)

void	setconf (const VectorXd &v, const int num_field)

void	setconf (const MatrixXcd &m)

void	setconf (const MatrixXcd &m, const int num_field)

MatrixXcd	vector2matrix (const int n) const

MatrixXcd	field2matrix (const int n) const

MatrixXcd	dfield2matrix (const int n) const

Protected Attributes inherited from Field
int	Li
	Physical box size, N_0=N_1.

int	num_f
	Number of superfields.

MatrixXcd	field
	Superfields.

Detailed Description

Compute Jacobian and its sign determinant.

field: partial_i partial_j W({A}) (p) with i <= j; Then, num_f!=field.cols(), but n2(n2+1)/2==field.cols()

See also: Field; PotentialNR; MatrixComp

Definition at line 60 of file field_potential.hpp.

Constructor & Destructor Documentation

◆ Potential() [1/4]

Potential::Potential ( )

inlineexplicit

Constructor of Potential.

Definition at line 121 of file field_potential.hpp.

◆ Potential() [2/4]

Potential::Potential	(	const int	n1,
		const int	n2,
		const Distribution	n3 = Distribution::Zero_conf )

inlineexplicit

Set Li, num_f, and field.

Parameters

n1	Set Li
n2	Set num_f; n2(n2+1)/2==field.cols()
n3	Set normal distribution type

See also: setconf

Definition at line 130 of file field_potential.hpp.

◆ Potential() [3/4]

Potential::Potential ( const MatrixXcd & m )

inlineexplicit

Set Li and field from MatrixXcd, but num_f such as num_f(num_f+1)/2==field.cols()

See also: setpotential

Definition at line 141 of file field_potential.hpp.

◆ Potential() [4/4]

Potential::Potential	(	const MatrixXcd &	m,
		const int	num_field )

inlineexplicit

Set Li and field from MatrixXcd, but num_f=num_field

num_f(num_f+1)/2==field.cols()

See also: setpotential

Definition at line 151 of file field_potential.hpp.

◆ ~Potential()

Potential::~Potential ( )

inlinevirtual

Destructor of Potential.

Definition at line 156 of file field_potential.hpp.

Member Function Documentation

◆ operator!=()

bool Potential::operator!= ( const Potential & p )

inlinevirtual

Not identical (Li, num_f) ?

Definition at line 167 of file field_potential.hpp.

◆ operator==()

bool Potential::operator== ( const Potential & p )

inlinevirtual

Is identical (Li, num_f) ?

Definition at line 162 of file field_potential.hpp.

◆ show()

void Potential::show ( ) const

virtual

Output Li, field.

Reimplemented from Field.

Reimplemented in PotentialNR.

Definition at line 393 of file field_potential.cpp.

◆ sign_det()

int Potential::sign_det ( const int debug = 0 ) const

Sign determinant with a fast algorithm (num_f < 4)

Probability of faster cases than Potential::sign_det4multifield: num_f=1: 99.9%, num_f=2: 99% num_f=3: 97-98%

Parameters

debug Debugging mode on(0)/off(1)

See also: MatrixComp::SignDet

Definition at line 374 of file field_potential.cpp.

◆ sign_det4multifield()

int Potential::sign_det4multifield ( const int debug = 0 ) const

Sign determinant for mutli-superfield.

Parameters

debug Debugging mode on(0)/off(1)

See also: MatrixComp::SignDet

Definition at line 387 of file field_potential.cpp.

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

Public Member Functions

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

◆ Potential() [1/4]

◆ Potential() [2/4]

◆ Potential() [3/4]

◆ Potential() [4/4]

◆ ~Potential()

Member Function Documentation

◆ operator!=()

◆ operator==()

◆ show()

◆ sign_det()

◆ sign_det4multifield()