Field Class Reference

Generate normal distributions; Compute convolutions. More...

#include <field_class.hpp>

Inheritance diagram for Field:

Public Member Functions
	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.
virtual void	show () const
	Output Li, field.

Static Public Member Functions
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
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
int	Li
	Physical box size, N_0=N_1.
int	num_f
	Number of superfields.
MatrixXcd	field
	Superfields.

Detailed Description

Generate normal distributions; Compute convolutions.

See also

Potential

PotentialNR

Nicolai

Scalar

NicolaiSol

Distribution

Definition at line 48 of file field_class.hpp.

Constructor & Destructor Documentation

Field() [1/8]

Field::Field ( )

inlineexplicit

Constructor of Field.

Definition at line 143 of file field_class.hpp.

Field() [2/8]

Field::Field ( const int n1, const int n2 )

inlineexplicit

Set Li=n1 and num_f=n2.

Parameters

n1	Set Li
n2	Set num_f

Definition at line 150 of file field_class.hpp.

Field() [3/8]

Field::Field ( const int n1, const int n2, const Distribution n3, const double mean = 0.0, const double dev = 1.0 )

inline

Set Li, num_f, and field.

Parameters

n1	Set Li
n2	Set num_f
n3	Set normal distribution type
mean	Parameter of normal distribution
dev	Parameter of normal distribution

See also

setconf

Definition at line 161 of file field_class.hpp.

Field() [4/8]

Field::Field ( const int n1, const int n2, const int n3, const Distribution n4, const double mean = 0.0, const double dev = 1.0 )

inline

Set Li, num_f, and field; n3 is.

Parameters

n1	Set Li
n2	Set num_f
n3	Set field.cols(); It is possible that n3!=num_f
n4	Set normal distribution type
mean	Parameter of normal distribution
dev	Parameter of normal distribution

See also

setconf

Definition at line 178 of file field_class.hpp.

Field() [5/8]

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

inline

Set Li, num_f, and field from VectorXcd.

See also

setconf

Definition at line 187 of file field_class.hpp.

Field() [6/8]

Field::Field ( const VectorXd & v, const int num_field )

inline

Set Li and field from VectorXd; num_f!=field.cols()

See also

setconf

Definition at line 194 of file field_class.hpp.

Field() [7/8]

Field::Field ( const MatrixXcd & m )

inline

Set Li, num_f, and field from MatrixXcd.

See also

setconf

Definition at line 200 of file field_class.hpp.

Field() [8/8]

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

inline

Set Li and field from MatrixXcd, but num_f=num_field

It is possible that num_f!=field.cols()

See also

setconf

Definition at line 208 of file field_class.hpp.

~Field()

Field::~Field ( )

inlinevirtual

Destructor of Field.

Definition at line 211 of file field_class.hpp.

Member Function Documentation

combine_with()

Field 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.

Definition at line 252 of file field_class.cpp.

conf() [1/2]

MatrixXcd Field::conf ( ) const

inline

All superfields

Definition at line 277 of file field_class.hpp.

conf() [2/2]

VectorXcd Field::conf ( const int n ) const

inline

n-th superfield

Definition at line 282 of file field_class.hpp.

conf_imag()

VectorXd Field::conf_imag ( const int n ) const

inline

Imaginary part of n-th superfield

Definition at line 292 of file field_class.hpp.

conf_real()

VectorXd Field::conf_real ( const int n ) const

inline

Real part of n-th superfield

Definition at line 287 of file field_class.hpp.

conjconv()

Field Field::conjconv

(

const int

n

)

const

Convolution field(:,n)*conf(field(:,n))

Parameters

n	n-th superfield

Definition at line 201 of file field_class.cpp.

conv()

Field Field::conv	(	const int	n1,
		const int	n2 ) const

Convolution field(:,n1)*field(:,n2)

Parameters

n1	n1-th superfield
n2	n2-th superfield

Definition at line 187 of file field_class.cpp.

conv_pw()

Field Field::conv_pw	(	const int	pw,
		const int	n = 0 ) const

Convolution field(:,n)*field(:,n)*...*field(:,n)

Parameters

pw	Convolution times
n	n-th superfield

Definition at line 219 of file field_class.cpp.

dfield2matrix()

MatrixXcd Field::dfield2matrix ( const int n ) const

protected

From vector-type field(p,n) to matrix-type field(p,n)*field(q,n)

Definition at line 175 of file field_class.cpp.

field2matrix()

MatrixXcd Field::field2matrix ( const int n ) const

protected

From vector-type field(p,n) to matrix-type field(p-q,n)

Definition at line 154 of file field_class.cpp.

Gauss() [1/2]

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

inlinestatic

See also

setgauss

Definition at line 223 of file field_class.hpp.

Gauss() [2/2]

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

inlinestatic

See also

setgauss

Definition at line 228 of file field_class.hpp.

GaussL() [1/2]

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

inlinestatic

See also

setgaussl

Definition at line 233 of file field_class.hpp.

GaussL() [2/2]

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

inlinestatic

See also

setgaussl

Definition at line 238 of file field_class.hpp.

GaussMT() [1/2]

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

inlinestatic

See also

setgaussmt

Definition at line 243 of file field_class.hpp.

GaussMT() [2/2]

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

inlinestatic

See also

setgaussmt

Definition at line 248 of file field_class.hpp.

GaussMTL() [1/2]

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

inlinestatic

See also

setgaussmtl

Definition at line 253 of file field_class.hpp.

GaussMTL() [2/2]

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

inlinestatic

See also

setgaussmtl

Definition at line 258 of file field_class.hpp.

Matrix() [1/2]

static Field Field::Matrix ( const MatrixXcd & m )

inlinestatic

See also

setconf

Definition at line 267 of file field_class.hpp.

Matrix() [2/2]

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

inlinestatic

See also

setconf

Definition at line 270 of file field_class.hpp.

operator!=()

bool Field::operator!= ( const Field & f )

inlinevirtual

Not identical (Li, num_f) ?

Definition at line 303 of file field_class.hpp.

operator*=()

Field & Field::operator*= ( const double n )

inlinevirtual

Multiply by a real number n.

Definition at line 309 of file field_class.hpp.

operator/=()

Field & Field::operator/= ( const double n )

inlinevirtual

Devide by a real number n.

Definition at line 314 of file field_class.hpp.

operator==()

bool Field::operator== ( const Field & f )

inlinevirtual

Is identical (Li, num_f) ?

Definition at line 298 of file field_class.hpp.

setconf() [1/5]

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

protected

Generate normal distributions with type Distribution

See also

Distribution

Definition at line 46 of file field_class.cpp.

setconf() [2/5]

void Field::setconf ( const MatrixXcd & m )

protected

Generate from MatrixXcd data

Definition at line 108 of file field_class.cpp.

setconf() [3/5]

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

protected

Generate from MatrixXcd data and set number of fields with num_field

Definition at line 123 of file field_class.cpp.

setconf() [4/5]

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

protected

Generate from VectorXcd data

Definition at line 68 of file field_class.cpp.

setconf() [5/5]

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

protected

Generate from VectorXd data

Definition at line 84 of file field_class.cpp.

setgauss()

void Field::setgauss ( const int num_col, const double mean = 0.0, const double dev = 1.0 )

protected

Generate normal distributions by random device with unit deviation;

See also

Distribution::Gauss_unit

Definition at line 10 of file field_class.cpp.

setgaussl()

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

protected

Generate normal distributions by random device with deviation Li/SQRT2

See also

Distribution::Gauss_L

Definition at line 23 of file field_class.cpp.

setgaussmt()

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

protected

Generate normal distributions by Mersenne twistor with unit deviation

See also

Distribution::Gauss_MT_unit

Definition at line 27 of file field_class.cpp.

setgaussmtl()

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

protected

Generate normal distributions by Mersenne twistor with deviation Li/SQRT2

See also

Distribution::Gauss_MT_L

Definition at line 41 of file field_class.cpp.

show()

void Field::show ( ) const

virtual

Output Li, field.

Reimplemented in Nicolai, Scalar, NicolaiSol, Potential, and PotentialNR.

Definition at line 269 of file field_class.cpp.

Vector()

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

inlinestatic

See also

setconf

Definition at line 263 of file field_class.hpp.

vector2matrix()

MatrixXcd Field::vector2matrix ( const int n ) const

protected

From vector-type field(p) to matrix-type field(p_0,p_1)

Definition at line 140 of file field_class.cpp.

Zero() [1/2]

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

inlinestatic

See also

setconf

Definition at line 215 of file field_class.hpp.

Zero() [2/2]

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

inlinestatic

See also

setconf

Definition at line 219 of file field_class.hpp.

Member Data Documentation

field

MatrixXcd Field::field

protected

Superfields.

i-th superfield: field(:,i)

Definition at line 58 of file field_class.hpp.

Li

int Field::Li

protected

Physical box size, N_0=N_1.

Definition at line 51 of file field_class.hpp.

num_f

int Field::num_f

protected

Number of superfields.

Definition at line 53 of file field_class.hpp.

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

• field_class.hpp
• field_class.cpp