Defines 3D parabola. More...

Inheritance diagram for cadex.Geom.Parabola:

Public Member Functions
	Parabola (global::System.IntPtr cPtr, bool cMemoryOwn)

	Parabola (cadex.Geom.Axis3d thePosition, double theFocal)
	Constructor.

double	Focal ()
	Returns a focal.

Public Member Functions inherited from cadex.Geom.Conic
	Conic (global::System.IntPtr cPtr, bool cMemoryOwn)

cadex.Geom.Axis3d	Position ()
	Returns an axis.

double	Parameter (cadex.Geom.Point thePoint)
	Returns parameter for a 3D point.

Public Member Functions inherited from cadex.Geom.Curve
	Curve (global::System.IntPtr cPtr, bool cMemoryOwn)

cadex.Geom.CurveType	Type ()

cadex.Geom.Continuity	Continuity ()
	Returns a continuity type of the curve.

cadex.Geom.Point	Value (double theParameter)
	Evaluates a point on the curve.

cadex.Geom.Direction	Normal (double theParameter)
	Returns the normal direction theNormal of parameter theParam.

double	Curvature (double theParameter)
	Returns the curvature value of parameter theParam.

bool	IsPeriodic ()
	Returns true if the curve is periodic.

double	UMin ()
	Returns a minimum parameter of a definition domain.

double	UMax ()
	Returns a maximum parameter of a definition domain.

void	Domain (out double theUMin, out double theUMax)
	Returns a definition domain.

bool	IsTrimmed ()
	Returns whether curve is trimmed or not.

void	SetTrim (double theFirst, double theLast)
	Trims curve with [theFirst, theLast] section.

void	Transform (cadex.Geom.Transformation theTransformation)
	Applies transformation matrix to this object.

cadex.Geom.Curve	Transformed (cadex.Geom.Transformation theTransformation)
	Returns a copy this object after applying transformation.

void	D0 (double theParameter, cadex.Geom.Point theValue)
	Returns the point theValue of parameter theParam.

void	D1 (double theParameter, cadex.Geom.Point theValue, cadex.Geom.Vector theD1)

void	D2 (double theParameter, cadex.Geom.Point theValue, cadex.Geom.Vector theD1, cadex.Geom.Vector theD2)
	Returns the point theValue of parameter theParam, the first theD1 and second theD2 derivatives.

bool	DN (double theParameter, uint theDerivativeOrder, cadex.Geom.Point theValue, cadex.Collections.VectorList theD)

void	Mirror (cadex.Geom.Point thePoint)

void	Mirror (cadex.Geom.Axis1d theAxis)

void	Mirror (cadex.Geom.Axis3d theAxis)

cadex.Geom.Curve	Mirrored (cadex.Geom.Point theRef)

cadex.Geom.Curve	Mirrored (cadex.Geom.Axis1d theAxis)

cadex.Geom.Curve	Mirrored (cadex.Geom.Axis3d theAxis)

void	Rotate (cadex.Geom.Axis1d theAxis, double theAngle)

cadex.Geom.Curve	Rotated (cadex.Geom.Axis1d theAxis, double theAngle)

void	Translate (cadex.Geom.Vector theVector)

cadex.Geom.Curve	Translated (cadex.Geom.Vector theVector)

void	Scale (cadex.Geom.Point thePoint, double theScale)

cadex.Geom.Curve	Scaled (cadex.Geom.Point thePoint, double theScale)

Public Member Functions inherited from cadex.Geom.Geometry
	Geometry (global::System.IntPtr cPtr, bool cMemoryOwn)

Public Member Functions inherited from cadex.BaseObject
	BaseObject (global::System.IntPtr cPtr, bool cMemoryOwn)

void	Dispose ()

bool	IsNull ()

ulong	Id ()
	Return unique identifier of public object.

bool	IsEqual (cadex.BaseObject theObj)

override int	GetHashCode ()

override bool	Equals (System.Object o)

Static Public Member Functions
static new bool	CompareType (cadex.BaseObject theObject)

static new cadex.Geom.Parabola	Cast (cadex.Geom.Curve theBase)

Static Public Member Functions inherited from cadex.Geom.Conic
static new bool	CompareType (cadex.BaseObject theObject)

static cadex.Geom.Conic	Cast (cadex.Geom.Curve theBase)

Static Public Member Functions inherited from cadex.Geom.Curve
static new bool	CompareType (cadex.BaseObject theObject)

static cadex.Geom.Curve	Cast (cadex.Geom.Geometry theBase)

Static Public Member Functions inherited from cadex.Geom.Geometry
static bool	CompareType (cadex.BaseObject theObject)

static cadex.Geom.Geometry	Cast (cadex.BaseObject theBase)

Protected Member Functions
override void	Dispose (bool disposing)

Detailed Description

Defines 3D parabola.

A parabola is defined by axis placement and focal. The following image depicts a parabola example:

Parabola

A parabola is a non-periodic curve parametrized as follows: \(\mathbf{C}(t) = \mathbf{P} + \frac{t^2}{4F}\mathbf{X} + t\mathbf{Y}\), where

\(\mathbf{P}\) is an origin point,
\(\mathbf{X}\) and \(\mathbf{Y}\) are directions,
\(F\) is focal,
\(t\) belongs to \((-\infty, +\infty)\).

See also: Parabola2d.

Examples: exploring/brep_geometry/Program.cs, and exploring/brep_geometry/main.cxx.

Constructor & Destructor Documentation

◆ Parabola()

cadex.Geom.Parabola.Parabola	(	cadex.Geom.Axis3d	thePosition,
		double	theFocal )

inline

Constructor.

Creates a parabola from axis and focal.

Member Function Documentation

◆ Dispose()

override void cadex.Geom.Parabola.Dispose ( bool disposing )

inlineprotectedvirtual

Reimplemented from cadex.Geom.Conic.

◆ Focal()

double cadex.Geom.Parabola.Focal ( )

inline

Returns a focal.

Returns the value specified in the constructor.

Examples: exploring/brep_geometry/Program.cs, and exploring/brep_geometry/main.cxx.

Public Member Functions