Represents 3D vector functions of 2 variables. More...

Inheritance diagram for IG.Num.IFunc3d2d:

Public Member Functions
double	Value1 (double x, double y)
	Calculates and returns value of the first component of the current function. More...

double	Value2 (double x, double y)
	Calculates and returns value of the second component of the current function. More...

double	Value3 (double x, double y)
	Calculates and returns value of the third component of the current function. More...

double	Value1 (vec2 parameters)
	Calculates and returns value of the first component of the current function. More...

double	Value2 (vec2 parameters)
	Calculates and returns value of the second component of the current function. More...

double	Value3 (vec2 parameters)
	Calculates and returns value of the third component of the current function. More...

void	Gradient1 (double x, double y, out double gradx, out double grady)
	Calculates gradient of the first component of the current function and returns its components through the specified output variables. More...

void	Gradient2 (double x, double y, out double gradx, out double grady)
	Calculates gradient of the second component of the current function and returns its components through the specified output variables. More...

void	Gradient3 (double x, double y, out double gradx, out double grady)
	Calculates gradient of the third component of the current function and returns its components through the specified output variables. More...

vec2	Gradient1 (vec2 parameters)
	Calculates and returns gradient of the first component of the current function. More...

vec2	Gradient2 (vec2 parameters)
	Calculates and returns gradient of the second component of the current function. More...

vec2	Gradient3 (vec2 parameters)
	Calculates and returns gradient of the third component of the current function. More...

void	Hessian1 (double x, double y, out double dxx, out double dyy, out double dxy)
	Calculates Hessian of the first component of the current function and returns its component through the specified output variables. More...

void	Hessian2 (double x, double y, out double dxx, out double dyy, out double dxy)
	Calculates Hessian of the second component of the current function and returns its component through the specified output variables. More...

void	Hessian3 (double x, double y, out double dxx, out double dyy, out double dxy)
	Calculates Hessian of the third component of the current function and returns its component through the specified output variables. More...

mat2	Hessian1 (vec2 parameters)
	Calculates and returns Hessian of the first component of the current function and returns it (in the form of a mat2 struct). More...

mat2	Hessian2 (vec2 parameters)
	Calculates and returns Hessian of the second component of the current function and returns it (in the form of a mat2 struct). More...

mat2	Hessian3 (vec2 parameters)
	Calculates and returns Hessian of the third component of the current function and returns it (in the form of a mat2 struct). More...

Properties
bool	ValueDefined `[get]`
	Whether calculation of function value is defined. More...

bool	GradientDefined `[get]`
	Whether calculation of function ngradient is defined. More...

bool	HessianDefined `[get]`
	Whether calculation of function Hessian is defined. More...

Func2dBase	Component1 `[get]`
	Returns the scalar function that represents the first component of the current 3D vector function of 2 variables. More...

Func2dBase	Component2 `[get]`
	Returns the scalar function that represents the second component of the current 3D vector function of 2 variables. More...

Func2dBase	Component3 `[get]`
	Returns the scalar function that represents the third component of the current 3D vector function of 2 variables. More...

Detailed Description

Represents 3D vector functions of 2 variables.

$A Igor Oct09;

Member Function Documentation

double IG.Num.IFunc3d2d.Value1	(	double	x,
		double	y
	)

Calculates and returns value of the first component of the current function.

Parameters

x	First parameter.
y	Second parameter.

Implemented in IG.Num.Func3d2dExamples.ParametricSurface, and IG.Num.Func3d2dBase.

double IG.Num.IFunc3d2d.Value2	(	double	x,
		double	y
	)

Calculates and returns value of the second component of the current function.

Parameters

x	First parameter.
y	Second parameter.

Implemented in IG.Num.Func3d2dExamples.ParametricSurface, and IG.Num.Func3d2dBase.

double IG.Num.IFunc3d2d.Value3	(	double	x,
		double	y
	)

Calculates and returns value of the third component of the current function.

Parameters

x	First parameter.
y	Second parameter.

Implemented in IG.Num.Func3d2dExamples.ParametricSurface, and IG.Num.Func3d2dBase.

double IG.Num.IFunc3d2d.Value1 ( vec2 parameters )

Calculates and returns value of the first component of the current function.

Parameters

parameters Vector of function parameters (in form of the Value) struct.

Returns: Function value.

Implemented in IG.Num.Func3d2dBase.

double IG.Num.IFunc3d2d.Value2 ( vec2 parameters )

Calculates and returns value of the second component of the current function.

Parameters

parameters Vector of function parameters (in form of the Value) struct.

Returns: Function value.

Implemented in IG.Num.Func3d2dBase.

double IG.Num.IFunc3d2d.Value3 ( vec2 parameters )

Calculates and returns value of the third component of the current function.

Parameters

parameters Vector of function parameters (in form of the Value) struct.

Returns: Function value.

Implemented in IG.Num.Func3d2dBase.

void IG.Num.IFunc3d2d.Gradient1	(	double	x,
		double	y,
		out double	gradx,
		out double	grady
	)

Calculates gradient of the first component of the current function and returns its components through the specified output variables.

Parameters

x	First parameter.
y	Second parameter.
gradx	First component of the returned gradient.
grady	Second component of the returned gradient.

Implemented in IG.Num.Func3d2dBase, and IG.Num.Func3d2dBaseNoGradient.

void IG.Num.IFunc3d2d.Gradient2	(	double	x,
		double	y,
		out double	gradx,
		out double	grady
	)

Calculates gradient of the second component of the current function and returns its components through the specified output variables.

Parameters

x	First parameter.
y	Second parameter.
gradx	First component of the returned gradient.
grady	Second component of the returned gradient.

Implemented in IG.Num.Func3d2dBase, and IG.Num.Func3d2dBaseNoGradient.

void IG.Num.IFunc3d2d.Gradient3	(	double	x,
		double	y,
		out double	gradx,
		out double	grady
	)

Calculates gradient of the third component of the current function and returns its components through the specified output variables.

Parameters

x	First parameter.
y	Second parameter.
gradx	First component of the returned gradient.
grady	Second component of the returned gradient.

Implemented in IG.Num.Func3d2dBase, and IG.Num.Func3d2dBaseNoGradient.

vec2 IG.Num.IFunc3d2d.Gradient1 ( vec2 parameters )

Calculates and returns gradient of the first component of the current function.

Parameters

parameters Vector of parameters (in form of the vec2 struct)

<returnreturns>Gradient of the current 2D scalar function (in form of the vec2 struct)</returnreturns>

Implemented in IG.Num.Func3d2dBase.

vec2 IG.Num.IFunc3d2d.Gradient2 ( vec2 parameters )

Calculates and returns gradient of the second component of the current function.

Parameters

parameters Vector of parameters (in form of the vec2 struct)

<returnreturns>Gradient of the current 2D scalar function (in form of the vec2 struct)</returnreturns>

Implemented in IG.Num.Func3d2dBase.

vec2 IG.Num.IFunc3d2d.Gradient3 ( vec2 parameters )

Calculates and returns gradient of the third component of the current function.

Parameters

parameters Vector of parameters (in form of the vec2 struct)

<returnreturns>Gradient of the current 2D scalar function (in form of the vec2 struct)</returnreturns>

Implemented in IG.Num.Func3d2dBase.

void IG.Num.IFunc3d2d.Hessian1	(	double	x,
		double	y,
		out double	dxx,
		out double	dyy,
		out double	dxy
	)

Calculates Hessian of the first component of the current function and returns its component through the specified output variables.

Parameters

x	First parameter.
y	Second parameter.
dxx	Component 1-1 of the calculated Hessian.
dyy	Component 2-2 of the calculated Hessian.
dxy	Component 1-2 of the calculated Hessian.

Implemented in IG.Num.Func3d2dBase, IG.Num.Func3d2dBaseNoGradient, and IG.Num.Func3d2dBaseNoHessian.

void IG.Num.IFunc3d2d.Hessian2	(	double	x,
		double	y,
		out double	dxx,
		out double	dyy,
		out double	dxy
	)

Calculates Hessian of the second component of the current function and returns its component through the specified output variables.

Parameters

x	First parameter.
y	Second parameter.
dxx	Component 1-1 of the calculated Hessian.
dyy	Component 2-2 of the calculated Hessian.
dxy	Component 1-2 of the calculated Hessian.

Implemented in IG.Num.Func3d2dBase, IG.Num.Func3d2dBaseNoGradient, and IG.Num.Func3d2dBaseNoHessian.

void IG.Num.IFunc3d2d.Hessian3	(	double	x,
		double	y,
		out double	dxx,
		out double	dyy,
		out double	dxy
	)

Calculates Hessian of the third component of the current function and returns its component through the specified output variables.

Parameters

x	First parameter.
y	Second parameter.
dxx	Component 1-1 of the calculated Hessian.
dyy	Component 2-2 of the calculated Hessian.
dxy	Component 1-2 of the calculated Hessian.

Implemented in IG.Num.Func3d2dBase, IG.Num.Func3d2dBaseNoGradient, and IG.Num.Func3d2dBaseNoHessian.

mat2 IG.Num.IFunc3d2d.Hessian1 ( vec2 parameters )

Calculates and returns Hessian of the first component of the current function and returns it (in the form of a mat2 struct).

Implemented in IG.Num.Func3d2dBase.

mat2 IG.Num.IFunc3d2d.Hessian2 ( vec2 parameters )

Calculates and returns Hessian of the second component of the current function and returns it (in the form of a mat2 struct).

Implemented in IG.Num.Func3d2dBase.

mat2 IG.Num.IFunc3d2d.Hessian3 ( vec2 parameters )

Calculates and returns Hessian of the third component of the current function and returns it (in the form of a mat2 struct).

Implemented in IG.Num.Func3d2dBase.

Property Documentation

bool IG.Num.IFunc3d2d.ValueDefined

get

Whether calculation of function value is defined.

bool IG.Num.IFunc3d2d.GradientDefined

get

Whether calculation of function ngradient is defined.

bool IG.Num.IFunc3d2d.HessianDefined

get

Whether calculation of function Hessian is defined.

Func2dBase IG.Num.IFunc3d2d.Component1

get

Returns the scalar function that represents the first component of the current 3D vector function of 2 variables.

Referenced by IG.Gr3d.VtkSurfacePlot.SetSurfaceDefinition().

Func2dBase IG.Num.IFunc3d2d.Component2

get

Returns the scalar function that represents the second component of the current 3D vector function of 2 variables.

Referenced by IG.Gr3d.VtkSurfacePlot.SetSurfaceDefinition().

Func2dBase IG.Num.IFunc3d2d.Component3

get

Returns the scalar function that represents the third component of the current 3D vector function of 2 variables.

Referenced by IG.Gr3d.VtkSurfacePlot.SetSurfaceDefinition().

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

igbase/numeric/geometry/Function3d2d.cs

Public Member Functions

Properties

Detailed Description

Member Function Documentation

Property Documentation