Parameterized real-valued functions of single variable. More...

Inheritance diagram for IG.Num.IRealFunctionParametric:

Collaboration diagram for IG.Num.IRealFunctionParametric:

Public Member Functions
double[]	GetParameters ()
	Returns parameters of the current parametric function as an array. More...

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

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

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

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

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

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

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

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

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

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...

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

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

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

Properties
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.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...

Detailed Description

Parameterized real-valued functions of single variable.

$A Igor Dec10;

Member Function Documentation

double [] IG.Num.IRealFunctionParametric.GetParameters ( )

Returns parameters of the current parametric function as an array.

Usually, implementations use vector as natural representation of parameters, therefore this function creates an array and copies values.

Implemented in IG.Num.RealFunctionParametricBase, and IG.Num.RealFunctionOneParametric.

void IG.Num.IRealFunctionParametric.SetParameters ( double[] parameters )

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

Parameters

parameters Array of parameters. Array length must correspond to actual number of parameters.

Implemented in IG.Num.RealFunctionParametricBase, and IG.Num.RealFunctionOneParametric.

double IG.Num.IRealFunctionParametric.GetParameter ( int which )

Returns value of the specified parameter of the parameterized function.

Parameters

which Specifies which parameter is returned.

Implemented in IG.Num.RealFunctionParametricBase, and IG.Num.RealFunctionOneParametric.

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

Sets the specific parameters of the parameterized function.

Parameters

which	Specifies which parameter is set.
value	Value of the specified parameter.

Implemented in IG.Num.RealFunctionParametricBase, and IG.Num.RealFunctionOneParametric.

Property Documentation

IVector IG.Num.IRealFunctionParametric.Parameters

getset

Parameters that define the specific function out of parametric familiy of functions.

int IG.Num.IRealFunctionParametric.NumParameters

get

Gets number of parameters that define the specific function out of parametric family of functions.

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

igbase/numeric/FunctionRealParametric.cs

Public Member Functions

Properties

Detailed Description

Member Function Documentation

Property Documentation