IG.Num.IFunc2d Interface Reference

Represents scalar functions of 2 variables. More...

Inheritance diagram for IG.Num.IFunc2d:

Public Member Functions
double	Value (double x, double y)
	Calculates and returns value of the current 2D scalar function. More...
double	Value (vec2 parameters)
	Calculates and returns value of the current 2D scalar function. More...
void	Gradient (double x, double y, out double gradx, out double grady)
	Calculates gradient of the current 2D scalar function and returns its components through the specified output variables. More...
vec2	Gradient (vec2 parameters)
	Calculates and returns gradient of the current 2D scalar function. More...
void	Hessian (double x, double y, out double dxx, out double dyy, out double dxy)
	Calculates Hessian of the current 2D scalar function and returns its component through the specified output variables. More...
mat2	Hessian (vec2 parameters)
	Calculates and returns Hessian of the current 2D scalar 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...

Detailed Description

Represents scalar functions of 2 variables.

$A Igor Apr09;

Member Function Documentation

double IG.Num.IFunc2d.Value	(	double	x,
		double	y
	)

Calculates and returns value of the current 2D scalar function.

Parameters

x	First parameter.
y	Second parameter.

Implemented in IG.Gr3d.VtkPlotBase.ExampleFuncDiff, IG.Gr3d.VtkPlotBase.ExampleFunc2dShifted, IG.Gr3d.VtkPlotBase.ExampleFunc2dSquare, IG.Gr3d.VtkPlotBase.ExampleFunc2dLinear, IG.Gr3d.VtkPlotBase.ExampleFunc2dXY, IG.Gr3d.VtkPlotBase.Func2dZero, IG.Gr3d.VtkPlotBase.Func2dY, IG.Gr3d.VtkPlotBase.Func2dX, IG.Num.Func2dBasePlain_ToConsider, IG.Num.Func2dExamples.Func2dXY, IG.Num.Func3d2dBase.ComponentFunction3, IG.Num.Func3d2dBase.ComponentFunction2, IG.Num.Func3d2dBase.ComponentFunction1, IG.Num.Func2dVectorFormBase, IG.Num.Func2dBase, IG.Num.Func2dFromScalarFunction, and IG.Neural.Func2dFromApproximator.

Referenced by IG.Gr3d.VtkPlotBase.ExampleSurfacePlot(), IG.Num.Field< TElement >.MapCoordinates2dPlain(), IG.Num.Field< TElement >.MapCoordinatesPlain(), IG.Num.StructuredField2d< TElement >.MapCoordinatesReferencePlain(), IG.Num.Field< TElement >.MapCoordinatesToScalarsPlain(), IG.Num.Func2dBase.TestFunction(), IG.Num.Func3d2dBase.TestFunction(), IG.Gr3d.VtkPlotBase.ExampleFunc2dShifted.Value(), IG.Gr3d.VtkPlotBase.ExampleFuncDiff.Value(), IG.Gr3d.VtkPlotBase.ExampleValueFunctionDiff21.Value(), and IG.Gr3d.ExampleValueFunctionDiff3D.Value().

double IG.Num.IFunc2d.Value

(

vec2

parameters

)

Calculates and returns value of the current 2D scalar function.

Parameters

parameters

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

Returns

Function value.

Implemented in IG.Num.Func2dBasePlain_ToConsider, IG.Num.Func2dQuadratic, IG.Num.Func2dLinear, IG.Num.Func2dVectorFormBase, and IG.Num.Func2dBase.

void IG.Num.IFunc2d.Gradient	(	double	x,
		double	y,
		out double	gradx,
		out double	grady
	)

Calculates gradient of the current 2D scalar 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.Gr3d.VtkPlotBase.ExampleFuncDiff, IG.Gr3d.VtkPlotBase.ExampleFunc2dSquare, IG.Gr3d.VtkPlotBase.ExampleFunc2dLinear, IG.Gr3d.VtkPlotBase.ExampleFunc2dXY, IG.Gr3d.VtkPlotBase.Func2dZero, IG.Gr3d.VtkPlotBase.Func2dY, IG.Gr3d.VtkPlotBase.Func2dX, IG.Num.Func2dBasePlain_ToConsider, IG.Num.Func2dExamples.Func2dXY, IG.Num.Func3d2dBase.ComponentFunction3, IG.Num.Func3d2dBase.ComponentFunction2, IG.Num.Func3d2dBase.ComponentFunction1, IG.Num.Func2dVectorFormBase, IG.Num.Func2dBase, IG.Num.Func2dBaseNoGradient, IG.Num.Func2dFromScalarFunction, and IG.Neural.Func2dFromApproximator.

Referenced by IG.Gr3d.VtkPlotBase.ExampleFuncDiff.Gradient(), IG.Num.Func2dBase.TestFunction(), and IG.Num.Func3d2dBase.TestFunction().

vec2 IG.Num.IFunc2d.Gradient

(

vec2

parameters

)

Calculates and returns gradient of the current 2D scalar 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.Func2dBasePlain_ToConsider, IG.Num.Func2dQuadratic, IG.Num.Func2dLinear, IG.Num.Func2dVectorFormBase, and IG.Num.Func2dBase.

void IG.Num.IFunc2d.Hessian	(	double	x,
		double	y,
		out double	dxx,
		out double	dyy,
		out double	dxy
	)

Calculates Hessian of the current 2D scalar 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.Func2dBasePlain_ToConsider, IG.Num.Func3d2dBase.ComponentFunction3, IG.Num.Func3d2dBase.ComponentFunction2, IG.Num.Func3d2dBase.ComponentFunction1, IG.Num.Func2dVectorFormBase, IG.Num.Func2dBase, IG.Num.Func2dBaseNoGradient, IG.Num.Func2dBaseNoHessian, IG.Num.Func2dFromScalarFunction, and IG.Neural.Func2dFromApproximator.

mat2 IG.Num.IFunc2d.Hessian

(

vec2

parameters

)

Calculates and returns Hessian of the current 2D scalar function and returns it (in the form of a mat2 struct).

Implemented in IG.Num.Func2dBasePlain_ToConsider, IG.Num.Func2dQuadratic, IG.Num.Func2dLinear, IG.Num.Func2dVectorFormBase, and IG.Num.Func2dBase.

Property Documentation

bool IG.Num.IFunc2d.ValueDefined

get

Whether calculation of function value is defined.

Referenced by IG.Num.Func2dBase.TestFunction(), and IG.Num.Func3d2dBase.TestFunction().

bool IG.Num.IFunc2d.GradientDefined

get

Whether calculation of function ngradient is defined.

Referenced by IG.Num.Func2dBase.TestFunction(), and IG.Num.Func3d2dBase.TestFunction().

bool IG.Num.IFunc2d.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/Function2d.cs