Execute the Newton–Raphson method; Combine solutions; Obtain sign det for each Scalar. More...

#include <field_nicolai.hpp>

Inheritance diagram for NicolaiSol:

Public Member Functions
	NicolaiSol ()
	Constructor of NicolaiSol.

	NicolaiSol (const int n1, const int n2, const int n3)
	Set members of the class Nicolai:

	~NicolaiSol ()
	Destructor of NicolaiSol.

bool	operator== (const NicolaiSol &f)
	Is identical (Li, num_f, field) ?

bool	operator!= (const NicolaiSol &f)
	Not identical (Li, num_f, field) ?

NicolaiSol &	add_sol (const Scalar &f, const double &err)
	Add a new solution; Ignore identical one.

NicolaiSol &	add_sol (const NicolaiSol &sol)
	Add a new solution; Ignore identical ones.

int	num_sol () const
	Number of solutions.

double	max_err () const
	Maximum error of NR method.

double	nr_method (const VectorXi k, const VectorXd lambda, const int num_nrsol, const int LOOP, const SuperPotentialType t=SuperPotentialType::AlgebraA)
	Newton–Raphson method.

void	test_nr_method (const VectorXi k, const VectorXd lambda, const int LOOP, const int TRIAL, const SuperPotentialType t=SuperPotentialType::AlgebraA)
	Observe the numerical convergence of NR method for each system.

int	sign_det (const int n) const
	Sign determinant (Jacobian)

void	phi_output (const int in, const VectorXi signs) const
	Output to file.

void	show () const
	Output Scalars.

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

	Nicolai (const int n1, const int n2, const int n3)
	Set Li, num_f, in; Configuration is generated by random device with deviation Li/SQRT2.

virtual	~Nicolai ()
	Destructor of Nicolai.

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

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

VectorXd	nr_nvec () const
	Compute Vector for NR method (Real type)

VectorXcd	nrerr_nvec () const
	Compute Vector for NR error estimate (complex type)

void	nic_output (const VectorXi k, const VectorXd lambda, const int num_nrsol, const VectorXi signs, const int dmp, const double max_err, const SuperPotentialType spt) const
	Output to file.

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 Nicolai
int	in
	ID number for the Nicolai map.

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

Execute the Newton–Raphson method; Combine solutions; Obtain sign det for each Scalar.

See also: Scalar

Definition at line 382 of file field_nicolai.hpp.

Constructor & Destructor Documentation

◆ NicolaiSol() [1/2]

NicolaiSol::NicolaiSol ( )

inlineexplicit

Constructor of NicolaiSol.

Definition at line 391 of file field_nicolai.hpp.

◆ NicolaiSol() [2/2]

NicolaiSol::NicolaiSol	(	const int	n1,
		const int	n2,
		const int	n3 )

inlineexplicit

Set members of the class Nicolai:

Parameters

n1	Set Li
n2	Set num_f
n3	Set in

Definition at line 399 of file field_nicolai.hpp.

◆ ~NicolaiSol()

NicolaiSol::~NicolaiSol ( )

inline

Destructor of NicolaiSol.

Definition at line 403 of file field_nicolai.hpp.

Member Function Documentation

◆ add_sol() [1/2]

NicolaiSol & NicolaiSol::add_sol ( const NicolaiSol & sol )

Add a new solution; Ignore identical ones.

Definition at line 436 of file field_nicolai.cpp.

◆ add_sol() [2/2]

NicolaiSol & NicolaiSol::add_sol	(	const Scalar &	f,
		const double &	err )

Add a new solution; Ignore identical one.

Definition at line 422 of file field_nicolai.cpp.

◆ max_err()

double NicolaiSol::max_err ( ) const

inline

Maximum error of NR method.

Definition at line 440 of file field_nicolai.hpp.

◆ nr_method()

double NicolaiSol::nr_method	(	const VectorXi	k,
		const VectorXd	lambda,
		const int	num_nrsol,
		const int	LOOP,
		const SuperPotentialType	t = SuperPotentialType::AlgebraA )

Newton–Raphson method.

Parameters

k	Power in superpotential
lambda	Coupling
num_nrsol	Number of "convergent" trials of NR method
LOOP	Maximum number of iteration
t	Type of SuperPotential

Returns: Number of omitting initial configuraiotns because of divergence

Definition at line 443 of file field_nicolai.cpp.

◆ num_sol()

int NicolaiSol::num_sol ( ) const

inline

Number of solutions.

Definition at line 437 of file field_nicolai.hpp.

◆ operator!=()

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

inline

Not identical (Li, num_f, field) ?

Note that the operator compares fields

Definition at line 422 of file field_nicolai.hpp.

◆ operator==()

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

inline

Is identical (Li, num_f, field) ?

Note that the operator compares fields

Definition at line 410 of file field_nicolai.hpp.

◆ phi_output()

void NicolaiSol::phi_output	(	const int	in,
		const VectorXi	signs ) const

Output to file.

Definition at line 515 of file field_nicolai.cpp.

◆ show()

void NicolaiSol::show ( ) const

virtual

Output Scalars.

Reimplemented from Nicolai.

Definition at line 522 of file field_nicolai.cpp.

◆ sign_det()

int NicolaiSol::sign_det ( const int n ) const

inline

Sign determinant (Jacobian)

Definition at line 477 of file field_nicolai.hpp.

◆ test_nr_method()

void NicolaiSol::test_nr_method	(	const VectorXi	k,
		const VectorXd	lambda,
		const int	LOOP,
		const int	TRIAL,
		const SuperPotentialType	t = SuperPotentialType::AlgebraA )

Observe the numerical convergence of NR method for each system.

Parameters

k	Power in superpotential
lambda	Coupling
LOOP	Maximum number of iteration
TRIAL	Maximum number of trials
t	Type of SuperPotential

Definition at line 466 of file field_nicolai.cpp.

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

Public Member Functions

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

◆ NicolaiSol() [1/2]

◆ NicolaiSol() [2/2]

◆ ~NicolaiSol()

Member Function Documentation

◆ add_sol() [1/2]

◆ add_sol() [2/2]

◆ max_err()

◆ nr_method()

◆ num_sol()

◆ operator!=()

◆ operator==()

◆ phi_output()

◆ show()

◆ sign_det()

◆ test_nr_method()