GeometricObjects Interface CATPHyperbola

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

interface CATPHyperbola

Interface representing an hyperbola in the space of a surface.

The CATPHyperbola is created by the CreatePHyperbola method of the CATGeoFactory interface and deleted with the Remove method. It is defined with:
CATMathAxis2D iAxis The axis of the hyperbola in the space of the surface
CATSurface iSupport The surface on which the hyperbola is defined
double iA The length between the center and the vertex.
double iB The distance between focus and center c = sqrt(iA^2+iB^2)
The eccentricity is defined by e = c/iA > 1. With this definition, the hyperbola is the branch along the positive X corresponding to the implicit equation X^2/(iA^2) - Y^2/(iB^2) = 1 To define the limits of the hyperbola, consider the parameter t such that: X(t) = a*cosh(t), Y(t) = b*sinh(t) , where X and Y are relative to iAxis.
Notice that this parameterization is not the internal parameterization.

Method Index


o GetCanonicalParams(double&,double&)
Returns the canonical lengths of this CATPHyperbola.
o GetExtremities(double&,double&)
Returns the low and high limitations of this CATPHyperbola.
o GetReferenceAxis(CATMathAxis2D&)
Returns the reference axis of this CATPHyperbola.
o Set(CATMathAxis2D&,double&,double&,double*,CATSurface*)
Modifies the characteristics of this CATPHyperbola.
o SetCanonicalParams(double&,double&)
Modifies the canonical lengths of this CATPHyperbola.
o SetExtremities(double&,double&)
Modifies the low and high Limimitations of this CATPHyperbola.
o SetReferenceAxis(CATMathAxis2D&)
Modifies the reference axis of this CATPHyperbola.

Methods


o GetCanonicalParams
public virtual GetCanonicalParams( ioA,
ioB)
Returns the canonical lengths of this CATPHyperbola.
Parameters:
ioA
The length between the center and the vertex.
ioB
The distance between focus and center c = sqrt(iA^2+iB^2).
iLimits
o GetExtremities
public virtual GetExtremities( ioLowLimitation,
ioHighLimitation)
Returns the low and high limitations of this CATPHyperbola.
Parameters:
ioLowLimitation
The parameter value of the first limitation of this CATPHyperbola.
ioHighLimitation
The parameter value of the second limitation of this CATPHyperbola.
o GetReferenceAxis
public virtual GetReferenceAxis( ioAxis2D)
Returns the reference axis of this CATPHyperbola.
Parameters:
ioAxis
The axis of the hyperbola in the surface space.
o Set
public virtual Set( const iAxis2D,
const iA,
const iB,
const iLimits,
iSupport)
Modifies the characteristics of this CATPHyperbola.
Parameters:
iAxis
The axis of the hyperbola in the surface space.
iA
The length between the center and the vertex.
iB
The distance between focus and center c = sqrt(iA^2+iB^2).
iLimits
An array [2] of the parameter values definining the limitations. If NULL, the hyperbola is unlimited.
iSupport
A pointer to the surface on which the hyperbola is defined.
o SetCanonicalParams
public virtual SetCanonicalParams( const iA,
const iB)
Modifies the canonical lengths of this CATPHyperbola.
Parameters:
iA
The length between the center and the vertex.
iB
The distance between focus and center c = sqrt(iA^2+iB^2).
o SetExtremities
public virtual SetExtremities( const iLowParam,
const iHighParam)
Modifies the low and high Limimitations of this CATPHyperbola.
Parameters:
iLowParam
The parameter value of the first limitation of this CATPHyperbola.
iHighParam
The parameter value of the second limitation of this CATPHyperbola.
o SetReferenceAxis
public virtual SetReferenceAxis( const iAxis2D)
Modifies the reference axis of this CATPHyperbola.
Parameters:
iAxis
The axis of the hyperbola in the surface space.
This object is included in the file: CATPHyperbola.h
If needed, your Imakefile.mk should include the module: CATGMGeometricInterfaces

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