manufacturingtoolkit.CadExMTK.Geom_Hyperbola Class Reference

Hyperbola Hyperbola.hxx cadex/Geom/Hyperbola.hxx. More...

Inheritance diagram for manufacturingtoolkit.CadExMTK.Geom_Hyperbola:

Public Member Functions
	__init__ (self, thePosition, theMajorRadius, theMinorRadius)
	Constructor.
	MajorRadius (self)
	Returns a major radius.
	MinorRadius (self)
	Returns a minor radius.
Public Member Functions inherited from manufacturingtoolkit.CadExMTK.Geom_Conic
	Position (self)
	Returns an axis.
	Parameter (self, thePoint)
	Returns parameter for a 3D point.
Public Member Functions inherited from manufacturingtoolkit.CadExMTK.Geom_Curve
	Type (self)
	Returns a curve type.
	Continuity (self)
	Returns a continuity type of the curve.
	Value (self, theParameter)
	Evaluates a point on the curve.
	Normal (self, theParameter)
	Returns the normal direction theNormal of parameter theParam.
	Curvature (self, theParameter)
	Returns the curvature value of parameter theParam.
	IsPeriodic (self)
	Returns true if the curve is periodic.
	UMin (self)
	Returns a minimum parameter of a definition domain.
	UMax (self)
	Returns a maximum parameter of a definition domain.
	Domain (self)
	Returns a definition domain.
	IsTrimmed (self)
	Returns whether curve is trimmed or not.
	SetTrim (self, theFirst, theLast)
	Trims curve with [theFirst, theLast] section.
	Transform (self, theTransformation)
	Applies transformation matrix to this object.
	Transformed (self, theTransformation)
	D0 (self, theParameter, theValue)
	Returns the point theValue of parameter theParam.
	D1 (self, theParameter, theValue, theD1)
	D2 (self, theParameter, theValue, theD1, theD2)
	Returns the point theValue of parameter theParam, the first theD1 and second theD2 derivatives.
	DN (self, theParameter, theDerivativeOrder, theValue, theD)
	Returns true if calculation completed successfully.
	Mirror (self, *args)
	Mirrored (self, *args)
	Rotate (self, theAxis, theAngle)
	Rotated (self, theAxis, theAngle)
	Translate (self, theVector)
	Translated (self, theVector)
	Scale (self, thePoint, theScale)
	Scaled (self, thePoint, theScale)
Public Member Functions inherited from manufacturingtoolkit.CadExMTK.BaseObject
	Id (self)
	Return unique identifier of public object.
	IsNull (self)

Static Public Member Functions
	CompareType (theObject)
	Cast (theBase)

Detailed Description

Hyperbola Hyperbola.hxx cadex/Geom/Hyperbola.hxx.

Defines 3D hyperbola.

A hyperbola is defined by axis placement, major and minor radii. The following image depicts a hyperbola example:

Hyperbola

A hyperbola is a non-periodic curve parametrized as follows: \(\mathbf{C}(t) = \mathbf{P} + R_{major}\cosh(t)\mathbf{X} + R_{minor}\sinh(t)\mathbf{Y}\), where

• \(\mathbf{P}\) is an origin point,
• \(\mathbf{X}\) and \(\mathbf{Y}\) are directions,
• \(R_{major}\) and \(R_{minor}\) are major and minor radii,
• \(t\) belongs to \((-\infty, +\infty)\).

Note that only one branch of hyperbola is used.

See also

Hyperbola2d.

Constructor & Destructor Documentation

__init__()

manufacturingtoolkit.CadExMTK.Geom_Hyperbola.__init__	(		self,
			thePosition,
			theMajorRadius,
			theMinorRadius )

Constructor.

Reimplemented from manufacturingtoolkit.CadExMTK.Geom_Conic.

Member Function Documentation

Cast()

manufacturingtoolkit.CadExMTK.Geom_Hyperbola.Cast ( theBase )

static

Reimplemented from manufacturingtoolkit.CadExMTK.Geom_Conic.

CompareType()

manufacturingtoolkit.CadExMTK.Geom_Hyperbola.CompareType ( theObject )

static

Reimplemented from manufacturingtoolkit.CadExMTK.Geom_Conic.

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

• CadExMTK.py