Scalar Class Reference

An solution of Nicolai map; Update to a new solution with NR method; Compute some types of superpotential; Identify solutions. More...

#include <field_nicolai.hpp>

Inheritance diagram for Scalar:

Public Member Functions
	Scalar ()
	Constructor of Scalar.
	Scalar (const int n1, const int n2, const VectorXi n3, const VectorXd n4, const SuperPotentialType t=SuperPotentialType::AlgebraA)
	Set Li, num_f, k, lambda, spt_type, and field configuration generated by Mersenne twistor with unit deviation.
	Scalar (const VectorXcd &v, const VectorXi n3, const VectorXd n4, const int num_field=1, const SuperPotentialType t=SuperPotentialType::AlgebraA)
	Generate from VectorXcd; Set num_f, k, lambda, and spt_type.
	Scalar (const Scalar &f, const VectorXcd &v)
	Set parameters identical to Scalar f; Configuration is given by VectorXcd.
	Scalar (const Scalar &f, const VectorXd &v)
	Set parameters identical to Scalar f; Configuration is given by VectorXd.
	~Scalar ()
	Destructor of Scalar.
bool	operator== (const Scalar &f)
	Is identical (Li, num_f, k, lambda, spt_type) ?
bool	operator!= (const Scalar &f)
	Not identical (Li, num_f, k, lambda, spt_type) ?
bool	is_identical (const Scalar &f) const
	Identify two solutions.
VectorXcd	nrerr_svec () const
	Compute Vector for NR error (complex type)
Potential	superpotential () const
	Compute superpotential (class Potential)
PotentialNR	superpotential_nr () const
	Compute superpotential (class PotentialNR)
Scalar	nr_loop (const Nicolai &nic)
	An iteration of NR method; Compute LU decompositon; Overwrite own members.
VectorXcd	nr_error_vec (const Nicolai &nic) const
	Compute error of NR method for each momentum.
double	nr_error (const Nicolai &nic) const
	Compute error of NR method.
void	scl_output (const int in, const int num_sol, const int i, const int sign, const double err) const
	Output to file.
void	show () const
	Output Li, k, lambda, 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

An solution of Nicolai map; Update to a new solution with NR method; Compute some types of superpotential; Identify solutions.

See also

Field

Potential

PotentialNR

NicolaiSol

SuperPotentialType

Definition at line 160 of file field_nicolai.hpp.

Constructor & Destructor Documentation

Scalar() [1/5]

Scalar::Scalar ( )

inlineexplicit

Constructor of Scalar.

Definition at line 220 of file field_nicolai.hpp.

Scalar() [2/5]

Scalar::Scalar ( const int n1, const int n2, const VectorXi n3, const VectorXd n4, const SuperPotentialType t = SuperPotentialType::AlgebraA )

inlineexplicit

Set Li, num_f, k, lambda, spt_type, and field configuration generated by Mersenne twistor with unit deviation.

Parameters

n1	Set Li
n2	Set num_f
n3	Set k
n4	Set lambda
t	Set spt_type

Definition at line 232 of file field_nicolai.hpp.

Scalar() [3/5]

Scalar::Scalar ( const VectorXcd & v, const VectorXi n3, const VectorXd n4, const int num_field = 1, const SuperPotentialType t = SuperPotentialType::AlgebraA )

inlineexplicit

Generate from VectorXcd; Set num_f, k, lambda, and spt_type.

Parameters

v	Set Li and field
n3	Set k
n4	Set lambda
num_field	Set num_f
t	Set spt_type

Definition at line 249 of file field_nicolai.hpp.

Scalar() [4/5]

Scalar::Scalar ( const Scalar & f, const VectorXcd & v )

inlineexplicit

Set parameters identical to Scalar f; Configuration is given by VectorXcd.

Definition at line 260 of file field_nicolai.hpp.

Scalar() [5/5]

Scalar::Scalar ( const Scalar & f, const VectorXd & v )

inlineexplicit

Set parameters identical to Scalar f; Configuration is given by VectorXd.

Definition at line 270 of file field_nicolai.hpp.

~Scalar()

Scalar::~Scalar ( )

inline

Destructor of Scalar.

Definition at line 278 of file field_nicolai.hpp.

Member Function Documentation

is_identical()

bool Scalar::is_identical

(

const Scalar &

f

)

const

Identify two solutions.

Parameters

f	Another configuration to be compared with this

Returns

if (identical) true; else false

Threshold: sol_id_maxval

Definition at line 109 of file field_nicolai.cpp.

nr_error()

double Scalar::nr_error ( const Nicolai & nic ) const

inline

Compute error of NR method.

Parameters

nic	Nicolai map

Returns

Error estimation of NR method; nr_error_vec.norm()

Definition at line 350 of file field_nicolai.hpp.

nr_error_vec()

VectorXcd Scalar::nr_error_vec

(

const Nicolai &

nic

)

const

Compute error of NR method for each momentum.

Parameters

nic	Nicolai map

Returns

Error estimation of NR method for each momentum

Definition at line 344 of file field_nicolai.cpp.

nr_loop()

Scalar Scalar::nr_loop

(

const Nicolai &

nic

)

An iteration of NR method; Compute LU decompositon; Overwrite own members.

Parameters

nic	Nicolai map

Returns

New configuration of scalar solution

Definition at line 335 of file field_nicolai.cpp.

nrerr_svec()

VectorXcd Scalar::nrerr_svec

(

)

const

Compute Vector for NR error (complex type)

See also

NR_error

Nicolai

PotentialNR

Definition at line 115 of file field_nicolai.cpp.

operator!=()

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

inline

Not identical (Li, num_f, k, lambda, spt_type) ?

Definition at line 294 of file field_nicolai.hpp.

operator==()

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

inline

Is identical (Li, num_f, k, lambda, spt_type) ?

Definition at line 285 of file field_nicolai.hpp.

scl_output()

void Scalar::scl_output	(	const int	in,
		const int	num_sol,
		const int	i,
		const int	sign,
		const double	err ) const

Output to file.

Parameters

in	ID number of the Nicolai map
num_sol	Number of solutions
i	ID number of the solution
sign	Sign determinant
err	Error of NR method

Definition at line 352 of file field_nicolai.cpp.

show()

void Scalar::show ( ) const

virtual

Output Li, k, lambda, field.

Reimplemented from Field.

Definition at line 411 of file field_nicolai.cpp.

superpotential()

Potential Scalar::superpotential

(

)

const

Compute superpotential (class Potential)

See also

Potential

Definition at line 188 of file field_nicolai.cpp.

superpotential_nr()

PotentialNR Scalar::superpotential_nr

(

)

const

Compute superpotential (class PotentialNR)

See also

PotentialNR

Definition at line 316 of file field_nicolai.cpp.

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

• field_nicolai.hpp
• field_nicolai.cpp
• field_spt.cpp