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GeometricObjects Interface CATPParabola

Usage: an implementation of this interface is supplied and you must use it as is. You should not reimplement it.

interface CATPParabola

Interface representing a parabola in the space of a surface.

The CATPParabola is created by the CreatePParabola method of the CATGeoFactory interface and deleted with the Remove method. It is defined with:

CATMathAxis2D iAxis The axis of the parabola in the space of the surface . In this system, the implicit equation is Y^2 = 2*iP*X.

CATSurface iSupport The surface on which the parabola is defined.

double iP Twice the length from the vertex of the parabola to its focus.

To define limits of the parabola, consider the parameter t such that: X(t) = t^2/(2*p), Y(t) = t , where X and Y are relative to iAxis.
Notice that this parameterization is not the internal paramaterization.

Method Index

o GetExtremities(double&,double&): Returns the low and high limitations of this CATPParabola.
o GetFocalParam(): Returns the focal parameter of a CATPParabola.
o GetReferenceAxis(CATMathAxis2D&): Returns the axis system of this CATPParabola.
o Set(CATMathAxis2D&,double&,double*,CATSurface*): Modifies the characteristics of this CAPParabola.
o SetExtremities(double&,double&): Modifies the low and high Limimitations of this CATPParabola.
o SetFocalParam(double&): Modifies the focal length of this CATPParabola.
o SetReferenceAxis(CATMathAxis2D&): Modifies the reference axis of this CATPParabola.

Methods

o GetExtremities

public virtual GetExtremities(		`ioLowLimitation`,
		`ioHighLimitation`)

Returns the low and high limitations of this CATPParabola.

Parameters:

ioLowLimitation: The parameter value of the first limitation of this CATPParabola.
ioHighLimitation: The parameter value of the second limitation of this CATPParabola.

o GetFocalParam

public virtual GetFocalParam(

)

Returns the focal parameter of a CATPParabola.

Returns:: Twice the length from the vertex of the parabola to its focus.

o GetReferenceAxis

public virtual GetReferenceAxis( ioAxis2D)

Returns the axis system of this CATPParabola.

Parameters:

ioAxis2D: The axis system of the parabola in the surface space.

o Set

public virtual Set(	const	`iAxis2D`,
	const	`iFocalParameter`,
	const	`iLimits`,
		`iSupport`)

Modifies the characteristics of this CAPParabola.

Parameters:

iAxis2D: The axis system of the parabola in the surface space.
iFocalParameter: Twice the length from the vertex of the parabola to its focus.
iLimits: An array [2] of the parameter values definining the limitations. If NULL, the parabola is unlimited.
iSupport: A pointer to the surface on which the parabola is defined.

o SetExtremities

public virtual SetExtremities(	const	`iLowParam`,
	const	`iHighParam`)

Modifies the low and high Limimitations of this CATPParabola.

Parameters:

iLowParam: The parameter value of the first limitation of this CATPParabola.
iHighParam: The parameter value of the second limitation of this CATPParabola.

o SetFocalParam

public virtual SetFocalParam( const iFocalParameter)

Modifies the focal length of this CATPParabola.

Parameters:

iFocalParameter: Twice the length from the vertex of the parabola to its focus.

o SetReferenceAxis

public virtual SetReferenceAxis( const iAxis2D)

Modifies the reference axis of this CATPParabola.

Parameters:

iAxis: The axis of the parabola in the surface space.

This object is included in the file: CATPParabola.h
If needed, your Imakefile.mk should include the module: CATGMGeometricInterfaces

CATMathAxis2D	`iAxis`	The axis of the parabola in the space of the surface . In this system, the implicit equation is `Y^2 = 2iPX`.
CATSurface	`iSupport`	The surface on which the parabola is defined.
double	`iP`	Twice the length from the vertex of the parabola to its focus.