Base class for one parametric families of real-valued functions of single variable. Parameters that completely define the function out of parametric family of functions can be queried or set. More...

Inheritance diagram for IG.Num.RealFunctionOneParametric:

Collaboration diagram for IG.Num.RealFunctionOneParametric:

Public Member Functions
	RealFunctionOneParametric (double parameter)
	Cobnstructor. Creates a new one parametric function with the specified parameter. More...

	RealFunctionOneParametric (IVector parameters)
	Cobnstructor. Creates a new one parametric function with the specified parameters. More...

override double[]	GetParameters ()
	Returns parameters of the current parametric function as an array. Since this class is for one parametric family of functions, an array of length 1 is always returned. More...

override void	SetParameters (double[] parameters)
	Sets parameters of the current parametric functions, where parameters are specified as array. More...

override double	GetParameter (int which)
	Returns value of the specified parameter of the parameterized function. More...

override void	SetParameter (int which, double value)
	Sets the specific parameters of the parameterized function. More...

Public Member Functions inherited from IG.Num.RealFunctionParametricBase
	RealFunctionParametricBase (IVector parameters)
	Cobnstructor. Creates a new parametric real-valued functions of single variable with the specified parameters. More...

Public Member Functions inherited from IG.Num.RealFunctionBase
abstract double	Value (double x)
	Returns the value of this function at the specified parameter. More...

abstract double	Derivative (double x)
	Returns the first derivative of this function at the specified parameter. More...

abstract double	Derivative (double x, int order)
	Returns the derivative of the given order of this function at the specified parameter. More...

abstract bool	HigherDerivativeDefined (int order)
	Tells whether the derivative of the given order is defined for this function (by implementation, not mathematically) More...

abstract double	SecondDerivative (double x)
	Returns the second derivative of the given order of this function at the specified arameter. More...

abstract double	Integral (double x)
	Returns integral from 0 to x of the function. Throws an exception if the integral is not defined. More...

abstract double	Inverse (double y)
	Returns Inverse of the current function applied to function argument. Throws an exception if the inverse function is not defined. More...

void	Tabulate (double from, double to, int numPoints)
	Tabulates the current function and its first and second derivatives (when available) on the specified interval, in the specified number of points. More...

void	Tabulate (double from, double to, int numPoints, bool printDerivatives)
	Tabulates the current function and its first and eventually second derivatives (when available) on the specified interval, in the specified number of points. More...

void	Tabulate (double from, double to, int numPoints, bool printDerivatives, bool printSecondDerivatives)
	Tabulates the current function and eventually its first and second derivatives (when available) on the specified interval, in the specified number of points. More...

virtual double	NumericalIntegral (double from, double to, int numintervals)
	Calculates numerical integral of this function. Simpson's formula is used. More...

virtual double	NumericalDerivative (double x, double stepsize)
	Calculates numerical derivative of this function. Central difference formula is used. More...

virtual double	NumericalSecondDerivative (double x, double stepsize)
	Calculates numerical second order derivative of this function. Central difference formula is used. More...

virtual void	Test ()
	Performs numerical tests with parameters adjusted for specific function. This function can be be overridden in derived classes, however its current implementation may be relatively well suited for most weighting and basic functions. More...

virtual void	Test (double from, double to, int numProbes, double stepSize, double tolerance)
	Performs some numerical tests on the current function, such as correctness of first and second derivatives, integral and inverse of the function. Results are written to the standard output. Whenever a numerical result does not match the corresponding analytical value calculated by the function, a visible notification is written. More...

override string	ToString ()

Static Protected Attributes
static Vector	_parAux = new Vector(1)
	Auxiliary vector whose only function is to enable calling base constructors with parameters specified as vector. More...

Properties
override IVector	Parameters `[get, set]`
	Gets or sets parameters that define the specific function out of parametric familiy of functions. Usually a reference is set or returned. More...

virtual double	Parameter `[get, set]`
	Gets or sets the (only) parameter that defines the current function out of parametric family of functions. More...

override int	NumParameters `[get]`
	Gets number of parameters that define the current function out of parametric family of functions. Always evaluates to 1 because this is a one parametric family of functions. More...

Properties inherited from IG.Num.RealFunctionParametricBase
abstract IVector	Parameters `[get, set]`
	Gets or sets parameters that define the specific function out of parametric familiy of functions. Usually a reference is set or returned. More...

virtual int	NumParameters `[get]`
	Gets number of parameters that define the current function out of parametric family of functions. More...

Properties inherited from IG.Num.RealFunctionBase
virtual string	Name `[get, set]`
	Returns a short name of thecurrent function. More...

virtual string	Description `[get, set]`
	Returns a short description of the current function. More...

virtual RealFunctionBase	DerivativeFunction `[get]`
	Returns a function object that represents a derivative of this function. Returns null if this is not implemented. More...

virtual RealFunctionBase	IntegralFunction `[get]`
	Returns a function object that represents a definite integral of this function from 0 to 1. Returns null if not implemented. More...

virtual RealFunctionBase	InverseFunction `[get]`
	Returns a function object that represents an inverse function of this function. Returns null if not implemented. More...

abstract bool	ValueDefined `[get, set]`
	Tells whether value of the function is defined by implementation. More...

abstract bool	DerivativeDefined `[get, set]`
	Tells whether the first derivative is defined for this function (by implementation, not mathematically) More...

abstract bool	SecondDerivativeDefined `[get, set]`
	Tells whether the second derivative is defined for this function (by implementation, not mathematically) More...

abstract bool	IntegralDefined `[get, set]`
	Tells whether analytical itegral of the function is defined or not. More...

abstract bool	InverseDefined `[get, set]`
	Tells whether analytical inverse function is defined or not. More...

Properties inherited from IG.Num.IRealFunction
string	Name `[get]`
	Returns a short name of the function. More...

string	Description `[get]`
	Returns a short description of the function. More...

bool	ValueDefined `[get]`
	Tells whether value of the function is defined by implementation. More...

bool	DerivativeDefined `[get]`
	Tells whether the first derivative is defined for this function (by implementation, not mathematically) More...

bool	SecondDerivativeDefined `[get]`
	Tells whether the second derivative is defined for this function (by implementation, not mathematically) More...

bool	IntegralDefined `[get]`
	Tells whether analytical itegral of the function is defined or not. More...

bool	InverseDefined `[get]`
	Tells whether analytical inverse function is defined or not. More...

Properties inherited from IG.Num.IRealFunctionParametric
IVector	Parameters `[get, set]`
	Parameters that define the specific function out of parametric familiy of functions. More...

int	NumParameters `[get]`
	Gets number of parameters that define the specific function out of parametric family of functions. More...

Properties inherited from IG.Num.IRealFunctionOneParametric
double	Parameter `[get, set]`
	Gets or sets the (only) parameter that defines the current function out of one parametric family of functions. More...

Private Member Functions
	RealFunctionOneParametric ()
	Default constructor is inaccessible because it has no meaning. More...

Private Attributes
double	_parameter

Additional Inherited Members
Static Public Member Functions inherited from IG.Num.RealFunctionBase
static void	ExampleTests ()

Protected Attributes inherited from IG.Num.RealFunctionBase
string	_name

string	_description

Detailed Description

Base class for one parametric families of real-valued functions of single variable. Parameters that completely define the function out of parametric family of functions can be queried or set.

This base class does not implement data containing parameters. This enables to derive base classes with different representations of parameters, e.g. with only one number for one parametric functions.

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Constructor & Destructor Documentation

IG.Num.RealFunctionOneParametric.RealFunctionOneParametric ( )

inlineprivate

Default constructor is inaccessible because it has no meaning.

IG.Num.RealFunctionOneParametric.RealFunctionOneParametric ( double parameter )

inline

Cobnstructor. Creates a new one parametric function with the specified parameter.

Parameters

parameter Parameter that define a specific function out of a parametric family of functions.

IG.Num.RealFunctionOneParametric.RealFunctionOneParametric ( IVector parameters )

inline

Cobnstructor. Creates a new one parametric function with the specified parameters.

Parameters

parameters Vector of parameters that define a specific function out of a parametric family of functions.

Member Function Documentation

override double [] IG.Num.RealFunctionOneParametric.GetParameters ( )

inline

Returns parameters of the current parametric function as an array. Since this class is for one parametric family of functions, an array of length 1 is always returned.

Implements IG.Num.IRealFunctionParametric.

override void IG.Num.RealFunctionOneParametric.SetParameters ( double[] parameters )

inline

Sets parameters of the current parametric functions, where parameters are specified as array.

Parameters

parameters Array of parameters. Array length must be 1 because this class represents a one parametric family..

Implements IG.Num.IRealFunctionParametric.

override double IG.Num.RealFunctionOneParametric.GetParameter ( int which )

inline

Returns value of the specified parameter of the parameterized function.

Parameters

which Specifies which parameter is returned, must be 0 because this class represents a one parametric family of functions.

Implements IG.Num.IRealFunctionParametric.

override void IG.Num.RealFunctionOneParametric.SetParameter	(	int	which,
		double	value
	)

inline

Sets the specific parameters of the parameterized function.

Parameters

which	Specifies which parameter is set, must be 0 because this class represents a one parametric family of functions.
value	Value of the specified parameter.

Implements IG.Num.IRealFunctionParametric.

Member Data Documentation

Vector IG.Num.RealFunctionOneParametric._parAux = new Vector(1)

staticprotected

Auxiliary vector whose only function is to enable calling base constructors with parameters specified as vector.

double IG.Num.RealFunctionOneParametric._parameter

private

Property Documentation

override IVector IG.Num.RealFunctionOneParametric.Parameters

getset

Gets or sets parameters that define the specific function out of parametric familiy of functions. Usually a reference is set or returned.

virtual double IG.Num.RealFunctionOneParametric.Parameter

getset

Gets or sets the (only) parameter that defines the current function out of parametric family of functions.

override int IG.Num.RealFunctionOneParametric.NumParameters

get

Gets number of parameters that define the current function out of parametric family of functions. Always evaluates to 1 because this is a one parametric family of functions.

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

igbase/numeric/FunctionRealParametric.cs

Public Member Functions

Static Protected Attributes

Properties

Private Member Functions

Private Attributes

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

Member Function Documentation

Member Data Documentation

Property Documentation