IG.Num.IFunc3d Interface Reference

Represents scalar functions of 2 variables. More...

Inheritance diagram for IG.Num.IFunc3d:

Public Member Functions
double	Value (double x, double y, double z)
	Calculates and returns value of the current 3D scalar function. More...
double	Value (vec3 parameters)
	Calculates and returns value of the current 3D scalar function. More...
void	Gradient (double x, double y, double z, out double gradx, out double grady, out double gradz)
	Calculates gradient of the current 3D scalar function and returns its components through the specified output variables. More...
vec3	Gradient (vec3 parameters)
	Calculates and returns gradient of the current 3D scalar function. More...
void	Hessian (double x, double y, double z, out double dxx, out double dyy, out double dzz, out double dxy, out double dxz, out double dyz)
	Calculates Hessian of the current 3D scalar function and returns its component through the specified output variables. More...
mat3	Hessian (vec3 parameters)
	Calculates and returns Hessian of the current 3D scalar function and returns it (in the form of a mat3 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...

Detailed Description

Represents scalar functions of 2 variables.

$A Igor Apr09;

Member Function Documentation

double IG.Num.IFunc3d.Value	(	double	x,
		double	y,
		double	z
	)

Calculates and returns value of the current 3D scalar function.

Parameters

x	First parameter.
y	Second parameter.
z	Third parameter.

Implemented in IG.Gr3d.ExampleValueFunctionDiff3D, IG.Gr3d.VtkPlotBase.ExampleValueFunctionDiff21, IG.Gr3d.VtkPlotBase.Func3dZero, IG.Gr3d.VtkPlotBase.Func3dZ, IG.Num.Func3dExamples.Func3dXYZ, IG.Num.Func3dVectorFormBase, IG.Num.Func3dBase, and IG.Num.Func3dFromScalarFunction.

Referenced by IG.Num.Field< TElement >.MapCoordinatesPlain(), IG.Num.Field< TElement >.MapCoordinatesToScalarsPlain(), and IG.Num.Func3dBase.TestFunction().

double IG.Num.IFunc3d.Value

(

vec3

parameters

)

Calculates and returns value of the current 3D scalar function.

Parameters

parameters

Vector of function parameters (in form of the vec3) struct.

Returns

Function value.

Implemented in IG.Num.Func3dQuadratic, IG.Num.Func3dLinear, IG.Num.Func3dVectorFormBase, and IG.Num.Func3dBase.

void IG.Num.IFunc3d.Gradient	(	double	x,
		double	y,
		double	z,
		out double	gradx,
		out double	grady,
		out double	gradz
	)

Calculates gradient of the current 3D scalar function and returns its components through the specified output variables.

Parameters

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

Implemented in IG.Gr3d.VtkPlotBase.Func3dZero, IG.Gr3d.VtkPlotBase.Func3dZ, IG.Num.Func3dExamples.Func3dXYZ, IG.Num.Func3dVectorFormBase, IG.Num.Func3dBase, IG.Num.Func3dBaseNoGradient, and IG.Num.Func3dFromScalarFunction.

Referenced by IG.Num.Func3dBase.TestFunction().

vec3 IG.Num.IFunc3d.Gradient

(

vec3

parameters

)

Calculates and returns gradient of the current 3D scalar function.

Parameters

parameters

Vector of parameters (in form of the vec3 struct)

<returnreturns>Gradient of the current 3D scalar function (in form of the vec3 struct)</returnreturns>

Implemented in IG.Num.Func3dQuadratic, IG.Num.Func3dLinear, IG.Num.Func3dVectorFormBase, and IG.Num.Func3dBase.

void IG.Num.IFunc3d.Hessian	(	double	x,
		double	y,
		double	z,
		out double	dxx,
		out double	dyy,
		out double	dzz,
		out double	dxy,
		out double	dxz,
		out double	dyz
	)

Calculates Hessian of the current 3D scalar function and returns its component through the specified output variables.

Parameters

x	First parameter.
y	Second parameter.
z	Third parameter.
dxx	Component 1-1 of the calculated Hessian.
dyy	Component 2-2 of the calculated Hessian.
dzz	Component 3-3 of the calculated Hessian.
dxy	Component 1-2 of the calculated Hessian.
dxz	Component 1-3 of the calculated Hessian.
dyz	Component 2-3 of the calculated Hessian.

Implemented in IG.Num.Func3dVectorFormBase, IG.Num.Func3dBase, IG.Num.Func3dBaseNoGradient, IG.Num.Func3dBaseNoHessian, and IG.Num.Func3dFromScalarFunction.

mat3 IG.Num.IFunc3d.Hessian

(

vec3

parameters

)

Calculates and returns Hessian of the current 3D scalar function and returns it (in the form of a mat3 struct).

Implemented in IG.Num.Func3dQuadratic, IG.Num.Func3dLinear, IG.Num.Func3dVectorFormBase, and IG.Num.Func3dBase.

Property Documentation

bool IG.Num.IFunc3d.ValueDefined

get

Whether calculation of function value is defined.

Referenced by IG.Num.Func3dBase.TestFunction().

bool IG.Num.IFunc3d.GradientDefined

get

Whether calculation of function ngradient is defined.

Referenced by IG.Num.Func3dBase.TestFunction().

bool IG.Num.IFunc3d.HessianDefined

get

Whether calculation of function Hessian is defined.

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

• igbase/numeric/geometry/Function3d.cs