Computation of a fractal field. More...

#include <Fractal_Field.h>

Inheritance diagram for ug::d3f::FractalField< TData, dim, TRet >:

Public Member Functions
void	clear_random_number ()

double	computeK_2D (double IN[2])

double	computeK_3D (double IN[3])

void	create_FractalField (int node, double h, double cox, double coy, double p, double H, double mue_K, double var_K, double a)

TRet	evaluate (TData &D, const MathVector< dim > &x, number time, int si) const

	FractalField ()

double	get_K (double x, double y) const

void	print_fractal_field (const char *filename)

void	print_fractal_field_eval (const char *filename)

virtual	~FractalField ()

Public Member Functions inherited from ug::StdGlobPosData< typename TImpl, typename TData, int dim, typename TRet >
virtual void	compute (LocalVector u, GridObject elem, const MathVector< dim > vCornerCoords[], bool bDeriv=false)

virtual void	compute (LocalVectorTimeSeries u, GridObject elem, const MathVector< dim > vCornerCoords[], bool bDeriv=false)

virtual bool	constant () const

virtual bool	continuous () const

void	evaluate (TData vValue[], const MathVector< dim > vGlobIP[], number time, int si, GridObject elem, const MathVector< dim > vCornerCoords[], const MathVector< refDim > vLocIP[], const size_t nip, LocalVector u, const MathMatrix< refDim, dim > *vJT=NULL) const

virtual TRet	operator() (TData &value, const MathVector< dim > &globIP, number time, int si) const

virtual void	operator() (TData vValue[], const MathVector< dim > vGlobIP[], number time, int si, const size_t nip) const

virtual bool	requires_grid_fct () const

Public Member Functions inherited from ug::StdUserData< typename TImpl, typename TData, int dim, typename TRet, typename TBase >
virtual void	operator() (TData vValue[], const MathVector< dim > vGlobIP[], number time, int si, GridObject elem, const MathVector< dim > vCornerCoords[], const MathVector< 1 > vLocIP[], const size_t nip, LocalVector u, const MathMatrix< 1, dim > *vJT=NULL) const

virtual void	operator() (TData vValue[], const MathVector< dim > vGlobIP[], number time, int si, GridObject elem, const MathVector< dim > vCornerCoords[], const MathVector< 1 > vLocIP[], const size_t nip, LocalVector u, const MathMatrix< 1, dim > *vJT=NULL) const

virtual void	operator() (TData vValue[], const MathVector< dim > vGlobIP[], number time, int si, GridObject elem, const MathVector< dim > vCornerCoords[], const MathVector< 2 > vLocIP[], const size_t nip, LocalVector u, const MathMatrix< 2, dim > *vJT=NULL) const

virtual void	operator() (TData vValue[], const MathVector< dim > vGlobIP[], number time, int si, GridObject elem, const MathVector< dim > vCornerCoords[], const MathVector< 2 > vLocIP[], const size_t nip, LocalVector u, const MathMatrix< 2, dim > *vJT=NULL) const

virtual void	operator() (TData vValue[], const MathVector< dim > vGlobIP[], number time, int si, GridObject elem, const MathVector< dim > vCornerCoords[], const MathVector< 3 > vLocIP[], const size_t nip, LocalVector u, const MathMatrix< 3, dim > *vJT=NULL) const

virtual void	operator() (TData vValue[], const MathVector< dim > vGlobIP[], number time, int si, GridObject elem, const MathVector< dim > vCornerCoords[], const MathVector< 3 > vLocIP[], const size_t nip, LocalVector u, const MathMatrix< 3, dim > *vJT=NULL) const

Public Member Functions inherited from ug::CplUserData< typename TData, int dim, typename TRet >
bool	defined (size_t s, size_t ip) const

size_t	num_ip (size_t s) const

size_t	num_series () const

void	register_storage_callback (DataImport< TData, dim > obj, void(DataImport< TData, dim >::func)())

void	unregister_storage_callback (DataImport< TData, dim > *obj)

TData &	value (size_t s, size_t ip)

const TData &	value (size_t s, size_t ip) const

TData *	values (size_t s)

const TData *	values (size_t s) const

	~CplUserData ()

Public Member Functions inherited from ug::ICplUserData< int dim >
bool	at_current_time (size_t s) const

virtual void	check_setup () const

void	clear ()

int	dim_local_ips () const

	ICplUserData ()

const MathVector< dim > &	ip (size_t s, size_t ip) const

const MathVector< dim > *	ips (size_t s) const

const MathVector< ldim > &	local_ip (size_t s, size_t ip) const

const MathVector< ldim > *	local_ips (size_t s) const

virtual SmartPtr< ICplUserData >	needed_data (size_t i)

size_t	num_ip (size_t s) const

virtual size_t	num_needed_data () const

size_t	num_series () const

virtual void	prepare_element (GridObject *e, const MathVector< dim > vCornerCoords[])

size_t	register_local_ip_series (const MathVector< ldim > *vPos, const size_t numIP, bool bMayChange=true)

size_t	register_local_ip_series (const MathVector< ldim > *vPos, const size_t numIP, const int timePointSpec, bool bMayChange=true)

void	set_global_ips (size_t s, const MathVector< dim > *vPos, size_t numIP)

void	set_local_ips (const size_t seriesId, const MathVector< ldim > *vPos, const size_t numIP)

void	set_subset (int si)

void	set_time_point (const size_t seriesId, const int timePointSpec)

void	set_time_point (size_t timePoint)

void	set_times (const std::vector< number > &vTime)

int	subset () const

number	time () const

number	time (size_t s) const

size_t	time_point ()

size_t	time_point (size_t s) const

int	time_point_specification (size_t s) const

virtual void	update_dof_sizes (const LocalIndices &ind)

virtual bool	zero_derivative () const

virtual	~ICplUserData ()

Public Member Functions inherited from ug::UserDataInfo
const FunctionGroup &	function_group () const

const FunctionIndexMapping &	map () const

size_t	num_fct () const

const char *	obj_name ()

virtual void	set_function_pattern (ConstSmartPtr< FunctionPattern > fctPatt)

void	set_obj_name (const char *name)

virtual	~UserDataInfo ()

Public Member Functions inherited from ug::UserData< typename TData, int dim, typename TRet >
int	get_dim () const

TRet	operator() (TData &value, const MathVector< dim > &globIP, number time, int si, GridObject elem, const MathVector< dim > vCornerCoords[], const MathVector< 1 > &locIP, LocalVector u) const

TRet	operator() (TData &value, const MathVector< dim > &globIP, number time, int si, GridObject elem, const MathVector< dim > vCornerCoords[], const MathVector< 1 > &locIP, LocalVector u) const

TRet	operator() (TData &value, const MathVector< dim > &globIP, number time, int si, GridObject elem, const MathVector< dim > vCornerCoords[], const MathVector< 2 > &locIP, LocalVector u) const

TRet	operator() (TData &value, const MathVector< dim > &globIP, number time, int si, GridObject elem, const MathVector< dim > vCornerCoords[], const MathVector< 2 > &locIP, LocalVector u) const

TRet	operator() (TData &value, const MathVector< dim > &globIP, number time, int si, GridObject elem, const MathVector< dim > vCornerCoords[], const MathVector< 3 > &locIP, LocalVector u) const

TRet	operator() (TData &value, const MathVector< dim > &globIP, number time, int si, GridObject elem, const MathVector< dim > vCornerCoords[], const MathVector< 3 > &locIP, LocalVector u) const

virtual void	operator() (TData &value, const MathVector< dim > &globIP, number time, int si, Vertex *vrt) const

std::string	type () const

Static Public Member Functions
static std::string	get_xml_name ()

Private Member Functions
long double	Duplication_Formula (long double two_x)

double	Entire_Incomplete_Gamma_Function (double x, double nu)

double	Factorial (int n)

int	Factorial_Max_Arg ()

double	Gamma_Function (double x)

double	Gamma_Function_Max_Arg ()

double	Incomplete_Gamma_Function (double x, double nu)

void	InitConstants ()

void	invertCDF_2D ()

void	invertCDF_3D ()

double	Ln_Gamma_Function (double x)

void	NormalGaussRandom ()

double	ran2 ()

int	sign (double a)

long double	xEntire_Incomplete_Gamma_Function (long double x, long double nu)

long double	xFactorial (int n)

long double	xGamma (long double x)

long double	xGamma_Function (long double x)

long double	xGamma_Function_Max_Arg ()

long double	xIncomplete_Gamma_Function (long double x, long double nu)
	long double xIncomplete_Gamma_Function(long double x, long double nu)

long double	xLarge_x (long double x, long double nu)

long double	xLn_Gamma_Function (long double x)

long double	xLnGamma_Asymptotic_Expansion (long double x)

long double	xMedium_x (long double x, long double nu)

long double	xSmall_x (long double x, long double nu)

Private Attributes
long double	a [9]

double	alpha

std::vector< std::vector< double > >	amplitude

long double	B [10]

double	corrx

double	corry

double	corrz

double	delta

long double	e

long double	exp_g_o_sqrt_2pi

long double	factorials [171]

long double	g

double	Hurst

std::vector< std::vector< double > >	K

long double	log_sqrt_2pi

double	max_double_arg

long double	max_long_double_arg

double	mean

int	n

int	N

int	nMode

double	phi

double	variance

std::vector< std::vector< double > >	wavenum2d

std::vector< std::vector< double > >	wavenum3d

Additional Inherited Members
Public Types inherited from ug::CplUserData< typename TData, int dim, typename TRet >
typedef ICplUserData< dim >	base_type

Public Types inherited from ug::UserData< typename TData, int dim, typename TRet >
typedef TData	data_type

typedef TRet	return_type

Protected Member Functions inherited from ug::StdGlobPosData< typename TImpl, typename TData, int dim, typename TRet >
TImpl &	getImpl ()

const TImpl &	getImpl () const

Protected Member Functions inherited from ug::StdUserData< typename TImpl, typename TData, int dim, typename TRet, typename TBase >
TImpl &	getImpl ()

const TImpl &	getImpl () const

Protected Member Functions inherited from ug::CplUserData< typename TData, int dim, typename TRet >
void	call_storage_callback () const

void	check_series (size_t s) const

void	check_series_ip (size_t s, size_t ip) const

virtual void	local_ip_series_added (const size_t seriesID)

virtual void	local_ip_series_to_be_cleared ()

virtual void	local_ips_changed (const size_t seriesID, const size_t newNumIP)

virtual void	value_storage_changed (const size_t seriesID)

Protected Member Functions inherited from ug::ICplUserData< int dim >
void	check_s (size_t s) const

void	check_s_ip (size_t s, size_t ip) const

std::vector< const MathVector< 1 > * > &	get_local_ips (Int2Type< 1 >)

const std::vector< const MathVector< 1 > * > &	get_local_ips (Int2Type< 1 >) const

std::vector< const MathVector< 2 > * > &	get_local_ips (Int2Type< 2 >)

const std::vector< const MathVector< 2 > * > &	get_local_ips (Int2Type< 2 >) const

std::vector< const MathVector< 3 > * > &	get_local_ips (Int2Type< 3 >)

const std::vector< const MathVector< 3 > * > &	get_local_ips (Int2Type< 3 >) const

virtual void	global_ips_changed (const size_t seriesID, const MathVector< dim > *vPos, const size_t numIP)

Protected Attributes inherited from ug::ICplUserData< int dim >
int	m_defaultTimePoint

int	m_locPosDim

std::vector< const MathVector< 1 > * >	m_pvLocIP1d

std::vector< const MathVector< 2 > * >	m_pvLocIP2d

std::vector< const MathVector< 3 > * >	m_pvLocIP3d

int	m_si

size_t	m_timePoint

std::vector< bool >	m_vMayChange

std::vector< size_t >	m_vNumIP

std::vector< number >	m_vTime

std::vector< int >	m_vTimePoint

std::vector< const MathVector< dim > * >	m_vvGlobPos

Protected Attributes inherited from ug::UserDataInfo
FunctionGroup	m_fctGrp

FunctionIndexMapping	m_map

SmartPtr< char >	m_objName

Detailed Description

template<typename TData, int dim, typename TRet = void>
class ug::d3f::FractalField< TData, dim, TRet >

Computation of a fractal field.

Code is copied from the c-version by J.Musuuza which is based on some Matlab version by F.Hesse documentation ???

Constructor & Destructor Documentation

◆ FractalField()

template<typename TData , int dim, typename TRet = void>

ug::d3f::FractalField< TData, dim, TRet >::FractalField ( )

inline

◆ ~FractalField()

template<typename TData , int dim, typename TRet = void>

virtual ug::d3f::FractalField< TData, dim, TRet >::~FractalField ( )

inlinevirtual

References ug::d3f::FractalField< TData, dim, TRet >::amplitude, and ug::d3f::FractalField< TData, dim, TRet >::wavenum2d.

Member Function Documentation

◆ clear_random_number()

template<typename TData , int dim, typename TRet = void>

void ug::d3f::FractalField< TData, dim, TRet >::clear_random_number ( )

inline

References ug::d3f::FractalField< TData, dim, TRet >::amplitude, and ug::d3f::FractalField< TData, dim, TRet >::wavenum2d.

◆ computeK_2D()

template<typename TData , int dim, typename TRet >

double ug::d3f::FractalField< TData, dim, TRet >::computeK_2D ( double IN[2] )

◆ computeK_3D()

template<typename TData , int dim, typename TRet >

double ug::d3f::FractalField< TData, dim, TRet >::computeK_3D ( double IN[3] )

◆ create_FractalField()

template<typename TData , int dim, typename TRet >

void ug::d3f::FractalField< TData, dim, TRet >::create_FractalField	(	int	node,
		double	h,
		double	cox,
		double	coy,
		double	p,
		double	H,
		double	mue_K,
		double	var_K,
		double	a
	)

References p.

◆ Duplication_Formula()

template<typename TData , int dim, typename TRet >

long double ug::d3f::FractalField< TData, dim, TRet >::Duplication_Formula ( long double two_x )

private

◆ Entire_Incomplete_Gamma_Function()

template<typename TData , int dim, typename TRet >

double ug::d3f::FractalField< TData, dim, TRet >::Entire_Incomplete_Gamma_Function	(	double	x,
		double	nu
	)

private

◆ evaluate()

template<typename TData , int dim, typename TRet >

TRet ug::d3f::FractalField< TData, dim, TRet >::evaluate	(	TData &	D,
		const MathVector< dim > &	x,
		number	time,
		int	si
	)		const

inline

References UG_ASSERT.

◆ Factorial()

template<typename TData , int dim, typename TRet >

double ug::d3f::FractalField< TData, dim, TRet >::Factorial ( int n )

private

◆ Factorial_Max_Arg()

template<typename TData , int dim, typename TRet >

int ug::d3f::FractalField< TData, dim, TRet >::Factorial_Max_Arg ( )

private

◆ Gamma_Function()

template<typename TData , int dim, typename TRet >

double ug::d3f::FractalField< TData, dim, TRet >::Gamma_Function ( double x )

private

◆ Gamma_Function_Max_Arg()

template<typename TData , int dim, typename TRet >

double ug::d3f::FractalField< TData, dim, TRet >::Gamma_Function_Max_Arg ( )

private

◆ get_K()

template<typename TData , int dim, typename TRet >

double ug::d3f::FractalField< TData, dim, TRet >::get_K	(	double	x,
		double	y
	)		const

◆ get_xml_name()

template<typename TData , int dim, typename TRet = void>

static std::string ug::d3f::FractalField< TData, dim, TRet >::get_xml_name ( )

inlinestatic

◆ Incomplete_Gamma_Function()

template<typename TData , int dim, typename TRet >

double ug::d3f::FractalField< TData, dim, TRet >::Incomplete_Gamma_Function	(	double	x,
		double	nu
	)

private

Description: The incomplete gamma function is defined as the integral from 0 to x of the integrand t^(nu-1) exp(-t) dt. The parameter nu is sometimes referred to as the shape parameter.

Arguments: double x Upper limit of the integral with integrand given above. double nu The shape parameter of the incomplete gamma function.

Return Values: The incomplete gamma function Integral[0;x] t^(nu-1) exp(-t) dt.

Example: double x, g, nu;

g = Incomplete_Gamma_Function( x, nu );

◆ InitConstants()

template<typename TData , int dim, typename TRet >

void ug::d3f::FractalField< TData, dim, TRet >::InitConstants ( )

private

◆ invertCDF_2D()

template<typename TData , int dim, typename TRet >

void ug::d3f::FractalField< TData, dim, TRet >::invertCDF_2D ( )

private

References p.

◆ invertCDF_3D()

template<typename TData , int dim, typename TRet >

void ug::d3f::FractalField< TData, dim, TRet >::invertCDF_3D ( )

private

References p.

◆ Ln_Gamma_Function()

template<typename TData , int dim, typename TRet >

double ug::d3f::FractalField< TData, dim, TRet >::Ln_Gamma_Function ( double x )

private

◆ NormalGaussRandom()

template<typename TData , int dim, typename TRet >

void ug::d3f::FractalField< TData, dim, TRet >::NormalGaussRandom ( )

private

◆ print_fractal_field()

template<typename TData , int dim, typename TRet >

void ug::d3f::FractalField< TData, dim, TRet >::print_fractal_field ( const char * filename )

◆ print_fractal_field_eval()

template<typename TData , int dim, typename TRet >

void ug::d3f::FractalField< TData, dim, TRet >::print_fractal_field_eval ( const char * filename )

◆ ran2()

template<typename TData , int dim, typename TRet >

double ug::d3f::FractalField< TData, dim, TRet >::ran2 ( )

private

◆ sign()

template<typename TData , int dim, typename TRet >

int ug::d3f::FractalField< TData, dim, TRet >::sign ( double a )

private

◆ xEntire_Incomplete_Gamma_Function()

template<typename TData , int dim, typename TRet >

long double ug::d3f::FractalField< TData, dim, TRet >::xEntire_Incomplete_Gamma_Function	(	long double	x,
		long double	nu
	)

private

◆ xFactorial()

template<typename TData , int dim, typename TRet >

long double ug::d3f::FractalField< TData, dim, TRet >::xFactorial ( int n )

private

◆ xGamma()

template<typename TData , int dim, typename TRet >

long double ug::d3f::FractalField< TData, dim, TRet >::xGamma ( long double x )

private

◆ xGamma_Function()

template<typename TData , int dim, typename TRet >

long double ug::d3f::FractalField< TData, dim, TRet >::xGamma_Function ( long double x )

private

◆ xGamma_Function_Max_Arg()

template<typename TData , int dim, typename TRet >

long double ug::d3f::FractalField< TData, dim, TRet >::xGamma_Function_Max_Arg ( )

private

◆ xIncomplete_Gamma_Function()

template<typename TData , int dim, typename TRet >

long double ug::d3f::FractalField< TData, dim, TRet >::xIncomplete_Gamma_Function	(	long double	x,
		long double	nu
	)

private

long double xIncomplete_Gamma_Function(long double x, long double nu)

Description: The incomplete gamma function is defined as the integral from 0 to x of the integrand t^(nu-1) exp(-t) dt. The parameter nu is sometimes referred to as the shape parameter.

Arguments: long double x Upper limit of the integral with integrand given above. long double nu The shape parameter of the incomplete gamma function.

Return Values: The incomplete gamma function Integral[0,x] t^(nu-1) exp(-t) dt.

Example: long double x, g, nu;

g = xIncomplete_Gamma_Function( x, nu );

◆ xLarge_x()

template<typename TData , int dim, typename TRet >

long double ug::d3f::FractalField< TData, dim, TRet >::xLarge_x	(	long double	x,
		long double	nu
	)

private

◆ xLn_Gamma_Function()

template<typename TData , int dim, typename TRet >

long double ug::d3f::FractalField< TData, dim, TRet >::xLn_Gamma_Function ( long double x )

private

◆ xLnGamma_Asymptotic_Expansion()

template<typename TData , int dim, typename TRet >

long double ug::d3f::FractalField< TData, dim, TRet >::xLnGamma_Asymptotic_Expansion ( long double x )

private

◆ xMedium_x()

template<typename TData , int dim, typename TRet >

long double ug::d3f::FractalField< TData, dim, TRet >::xMedium_x	(	long double	x,
		long double	nu
	)

private

◆ xSmall_x()

template<typename TData , int dim, typename TRet >

long double ug::d3f::FractalField< TData, dim, TRet >::xSmall_x	(	long double	x,
		long double	nu
	)

private

References Nterms.

Member Data Documentation

◆ a

template<typename TData , int dim, typename TRet = void>

long double ug::d3f::FractalField< TData, dim, TRet >::a[9]

private

◆ alpha

template<typename TData , int dim, typename TRet = void>

double ug::d3f::FractalField< TData, dim, TRet >::alpha

private

◆ amplitude

template<typename TData , int dim, typename TRet = void>

std::vector<std::vector<double> > ug::d3f::FractalField< TData, dim, TRet >::amplitude

private

Referenced by ug::d3f::FractalField< TData, dim, TRet >::clear_random_number(), and ug::d3f::FractalField< TData, dim, TRet >::~FractalField().

◆ B

template<typename TData , int dim, typename TRet = void>

long double ug::d3f::FractalField< TData, dim, TRet >::B[10]

private

◆ corrx

template<typename TData , int dim, typename TRet = void>

double ug::d3f::FractalField< TData, dim, TRet >::corrx

private

◆ corry

template<typename TData , int dim, typename TRet = void>

double ug::d3f::FractalField< TData, dim, TRet >::corry

private

◆ corrz

template<typename TData , int dim, typename TRet = void>

double ug::d3f::FractalField< TData, dim, TRet >::corrz

private

◆ delta

template<typename TData , int dim, typename TRet = void>

double ug::d3f::FractalField< TData, dim, TRet >::delta

private

◆ e

template<typename TData , int dim, typename TRet = void>

long double ug::d3f::FractalField< TData, dim, TRet >::e

private

◆ exp_g_o_sqrt_2pi

template<typename TData , int dim, typename TRet = void>

long double ug::d3f::FractalField< TData, dim, TRet >::exp_g_o_sqrt_2pi

private

◆ factorials

template<typename TData , int dim, typename TRet = void>

long double ug::d3f::FractalField< TData, dim, TRet >::factorials[171]

private

◆ g

template<typename TData , int dim, typename TRet = void>

long double ug::d3f::FractalField< TData, dim, TRet >::g

private

◆ Hurst

template<typename TData , int dim, typename TRet = void>

double ug::d3f::FractalField< TData, dim, TRet >::Hurst

private

◆ K

template<typename TData , int dim, typename TRet = void>

std::vector<std::vector<double> > ug::d3f::FractalField< TData, dim, TRet >::K

private

◆ log_sqrt_2pi

template<typename TData , int dim, typename TRet = void>

long double ug::d3f::FractalField< TData, dim, TRet >::log_sqrt_2pi

private

◆ max_double_arg

template<typename TData , int dim, typename TRet = void>

double ug::d3f::FractalField< TData, dim, TRet >::max_double_arg

private

◆ max_long_double_arg

template<typename TData , int dim, typename TRet = void>

long double ug::d3f::FractalField< TData, dim, TRet >::max_long_double_arg

private

◆ mean

template<typename TData , int dim, typename TRet = void>

double ug::d3f::FractalField< TData, dim, TRet >::mean

private

◆ n

template<typename TData , int dim, typename TRet = void>

int ug::d3f::FractalField< TData, dim, TRet >::n

private

◆ N

template<typename TData , int dim, typename TRet = void>

int ug::d3f::FractalField< TData, dim, TRet >::N

private

◆ nMode

template<typename TData , int dim, typename TRet = void>

int ug::d3f::FractalField< TData, dim, TRet >::nMode

private

◆ phi

template<typename TData , int dim, typename TRet = void>

double ug::d3f::FractalField< TData, dim, TRet >::phi

private

◆ variance

template<typename TData , int dim, typename TRet = void>

double ug::d3f::FractalField< TData, dim, TRet >::variance

private

◆ wavenum2d

template<typename TData , int dim, typename TRet = void>

std::vector<std::vector<double> > ug::d3f::FractalField< TData, dim, TRet >::wavenum2d

private

Referenced by ug::d3f::FractalField< TData, dim, TRet >::clear_random_number(), and ug::d3f::FractalField< TData, dim, TRet >::~FractalField().

◆ wavenum3d

template<typename TData , int dim, typename TRet = void>

std::vector<std::vector<double> > ug::d3f::FractalField< TData, dim, TRet >::wavenum3d

private

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

/home/runner/work/docs/docs/ug4/plugins/d3f/fractal_perm_field/Fractal_Field.h
/home/runner/work/docs/docs/ug4/plugins/d3f/fractal_perm_field/entire_incomplete_gamma_function.h
/home/runner/work/docs/docs/ug4/plugins/d3f/fractal_perm_field/factorial.h
/home/runner/work/docs/docs/ug4/plugins/d3f/fractal_perm_field/Fractal_Field_impl.h
/home/runner/work/docs/docs/ug4/plugins/d3f/fractal_perm_field/gamma_function.h
/home/runner/work/docs/docs/ug4/plugins/d3f/fractal_perm_field/incomplete_gamma_function.h
/home/runner/work/docs/docs/ug4/plugins/d3f/fractal_perm_field/ln_gamma_function.h

Public Member Functions

Static Public Member Functions

Private Member Functions

Private Attributes

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

◆ FractalField()

◆ ~FractalField()

Member Function Documentation

◆ clear_random_number()

◆ computeK_2D()

◆ computeK_3D()

◆ create_FractalField()

◆ Duplication_Formula()

◆ Entire_Incomplete_Gamma_Function()

◆ evaluate()

◆ Factorial()

◆ Factorial_Max_Arg()

◆ Gamma_Function()

◆ Gamma_Function_Max_Arg()

◆ get_K()

◆ get_xml_name()

◆ Incomplete_Gamma_Function()

◆ InitConstants()

◆ invertCDF_2D()

◆ invertCDF_3D()

◆ Ln_Gamma_Function()

◆ NormalGaussRandom()

◆ print_fractal_field()

◆ print_fractal_field_eval()

◆ ran2()

◆ sign()

◆ xEntire_Incomplete_Gamma_Function()

◆ xFactorial()

◆ xGamma()

◆ xGamma_Function()

◆ xGamma_Function_Max_Arg()

◆ xIncomplete_Gamma_Function()

◆ xLarge_x()

◆ xLn_Gamma_Function()

◆ xLnGamma_Asymptotic_Expansion()

◆ xMedium_x()

◆ xSmall_x()

Member Data Documentation

◆ a

◆ alpha

◆ amplitude

◆ B

◆ corrx

◆ corry

◆ corrz

◆ delta

◆ e

◆ exp_g_o_sqrt_2pi

◆ factorials

◆ g

◆ Hurst

◆ K

◆ log_sqrt_2pi

◆ max_double_arg

◆ max_long_double_arg

◆ mean

◆ n

◆ N

◆ nMode

◆ phi

◆ variance

◆ wavenum2d

◆ wavenum3d