Defines 2D B-Spline curve. More...

Inheritance diagram for cadex.Geom.BSplineCurve2d:

Public Member Functions
	BSplineCurve2d (global::System.IntPtr cPtr, bool cMemoryOwn)

	BSplineCurve2d (cadex.Collections.Point2dList thePoles, cadex.Collections.DoubleList theKnots, cadex.Collections.IntList theMultiplicities, int theDegree, bool theIsPeriodic)
	Constructor.

	BSplineCurve2d (cadex.Collections.Point2dList thePoles, cadex.Collections.DoubleList theKnots, cadex.Collections.IntList theMultiplicities, int theDegree)

	BSplineCurve2d (cadex.Collections.Point2dList thePoles, cadex.Collections.DoubleList thePoleWeights, cadex.Collections.DoubleList theKnots, cadex.Collections.IntList theMultiplicities, int theDegree, bool theIsPeriodic)
	Constructor.

	BSplineCurve2d (cadex.Collections.Point2dList thePoles, cadex.Collections.DoubleList thePoleWeights, cadex.Collections.DoubleList theKnots, cadex.Collections.IntList theMultiplicities, int theDegree)

int	Degree ()
	Returns degree.

int	NumberOfKnots ()
	Returns number of unique knots.

int	NumberOfPoles ()
	Returns number of poles.

double	Knot (int theIndex)
	Returns a knot value.

cadex.Collections.DoubleList	Knots ()
	Populates a vector of knots.

int	Multiplicity (int theIndex)
	Returns a knot multiplicity.

cadex.Collections.IntList	Multiplicities ()
	Populates a vector of knot multiplicities.

cadex.Geom.Point2d	Pole (int theIndex)
	Returns a pole value.

cadex.Collections.Point2dList	Poles ()
	Populates a vector of poles.

double	Weight (int theIndex)
	Returns a weight value.

cadex.Collections.DoubleList	Weights ()
	Populates a vector of weights.

bool	IsRational ()
	Returns true if the B-Spline curve is rational (i.e. has weights).

Public Member Functions inherited from cadex.Geom.Curve2d
	Curve2d (global::System.IntPtr cPtr, bool cMemoryOwn)

cadex.Geom.CurveType	Type ()
	Returns a curve type.

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

cadex.Geom.Point2d	Value (double theParameter)
	Evaluates a point on the curve.

cadex.Geom.Direction2d	Normal (double theParameter)
	Returns the normal direction theNormal of parameter theParam.

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

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	D0 (double theParameter, cadex.Geom.Point2d theValue)
	Returns the point theValue of parameter theParam.

void	D1 (double theParameter, cadex.Geom.Point2d theValue, cadex.Geom.Vector2d theD1)
	Returns the point theValue of parameter theParam and the first derivative theD1.

void	D2 (double theParameter, cadex.Geom.Point2d theValue, cadex.Geom.Vector2d theD1, cadex.Geom.Vector2d theD2)
	Returns the point theValue of parameter theParam and second derivatives theD1 and theD2.

bool	DN (double theParameter, uint theDerivativeOrder, cadex.Geom.Point2d theValue, cadex.Collections.Vector2dList theD)

void	Transform (cadex.Geom.Transformation2d theTransformation)
	Applies transformation matrix to this object.

cadex.Geom.Curve2d	Transformed (cadex.Geom.Transformation2d theTransformation)
	Returns a copy this object after applying transformation.

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 cadex.Geom.BSplineCurve2d	Cast (cadex.Geom.Curve2d theBase)

Static Public Member Functions inherited from cadex.Geom.Curve2d
static new bool	CompareType (cadex.BaseObject theObject)

static cadex.Geom.Curve2d	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)

Protected Member Functions inherited from cadex.Geom.Curve2d
override void	Dispose (bool disposing)

Protected Member Functions inherited from cadex.Geom.Geometry
override void	Dispose (bool disposing)

Detailed Description

Defines 2D B-Spline curve.

For detailed description refer to 3D counterpart BSplineCurve.

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

Constructor & Destructor Documentation

◆ BSplineCurve2d() [1/2]

cadex.Geom.BSplineCurve2d.BSplineCurve2d	(	cadex.Collections.Point2dList	thePoles,
		cadex.Collections.DoubleList	theKnots,
		cadex.Collections.IntList	theMultiplicities,
		int	theDegree,
		bool	theIsPeriodic )

inline

Constructor.

Creates a polynomial B-Spline curve.

Parameters:

theNumberOfPoles defines the length of thePoles and must be >=2;
theNumberOfKnots defines the length of theKnots and theMultiplicities and must be >=2;
theDegree must belong to range [1, 25];
theIsPeriodic specifies if the B-Spline is periodic.

theNumberOfPoles must meet the requirements described for Geom.BSplineCurve.

◆ BSplineCurve2d() [2/2]

cadex.Geom.BSplineCurve2d.BSplineCurve2d	(	cadex.Collections.Point2dList	thePoles,
		cadex.Collections.DoubleList	thePoleWeights,
		cadex.Collections.DoubleList	theKnots,
		cadex.Collections.IntList	theMultiplicities,
		int	theDegree,
		bool	theIsPeriodic )

inline

Constructor.

Creates a rational B-Spline curve.

Parameters:

theNumberOfPoles defines the length of thePoles and thePoleWeights and must be >=2;
theNumberOfKnots defines the length of theKnots and theMultiplicities and must be >=2;
theDegree must belong to range [1, 25];
theIsPeriodic specifies if the B-Spline is periodic.

theNumberOfPoles must meet the requirements described for Geom.BSplineCurve.

Poles are to be provided after division by their weights.

Member Function Documentation

◆ Degree()

int cadex.Geom.BSplineCurve2d.Degree ( )

inline

Returns degree.

Returns the value specified in the constructor.

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

◆ Dispose()

override void cadex.Geom.BSplineCurve2d.Dispose ( bool disposing )

inlineprotectedvirtual

Reimplemented from cadex.BaseObject.

◆ IsRational()

bool cadex.Geom.BSplineCurve2d.IsRational ( )

inline

Returns true if the B-Spline curve is rational (i.e. has weights).

See also: Weight().

◆ Knot()

double cadex.Geom.BSplineCurve2d.Knot ( int theIndex )

inline

Returns a knot value.

theIndex must be in the range [1, NumberOfKnots()].

See also: Multiplicity().

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

◆ Knots()

cadex.Collections.DoubleList cadex.Geom.BSplineCurve2d.Knots ( )

inline

Populates a vector of knots.

theKnots must point to a buffer in memory with at least NumberOfKnots() preallocated values.

Returns NumberOfKnots().

See also: Multiplicities().

◆ Multiplicities()

cadex.Collections.IntList cadex.Geom.BSplineCurve2d.Multiplicities ( )

inline

Populates a vector of knot multiplicities.

theMultiplicities must point to a buffer in memory with at least NumberOfKnots() preallocated values.

Returns NumberOfKnots().

See also: Knots().

◆ Multiplicity()

int cadex.Geom.BSplineCurve2d.Multiplicity ( int theIndex )

inline

Returns a knot multiplicity.

theIndex must be in the range [1, NumberOfKnots()].

See also: Knot().

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

◆ NumberOfKnots()

int cadex.Geom.BSplineCurve2d.NumberOfKnots ( )

inline

Returns number of unique knots.

Returns the value specified in the constructor.

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

◆ NumberOfPoles()

int cadex.Geom.BSplineCurve2d.NumberOfPoles ( )

inline

Returns number of poles.

Returns the value specified in the constructor.

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

◆ Pole()

cadex.Geom.Point2d cadex.Geom.BSplineCurve2d.Pole ( int theIndex )

inline

Returns a pole value.

theIndex must be in the range [1, NumberOfPoles()].

See also: Weight().

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

◆ Poles()

cadex.Collections.Point2dList cadex.Geom.BSplineCurve2d.Poles ( )

inline

Populates a vector of poles.

thePoles must point to a buffer in memory with at least NumberOfPoles() preallocated values.

Returns NumberOfPoles().

See also: Weights().

◆ Weight()

double cadex.Geom.BSplineCurve2d.Weight ( int theIndex )

inline

Returns a weight value.

theIndex must be in the range [1, NumberOfPoles()].

For polynomial B-Spline behavior is undefined.

See also: Pole().

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

◆ Weights()

cadex.Collections.DoubleList cadex.Geom.BSplineCurve2d.Weights ( )

inline

Populates a vector of weights.

theWeights must point to a buffer in memory with at least NumberOfPoles() preallocated values.

Returns NumberOfPoles().

For polynomial B-Spline does nothing and returns 0.

See also: Poles().

Public Member Functions

Static Public Member Functions

Protected Member Functions

Detailed Description

Constructor & Destructor Documentation

◆ BSplineCurve2d() [1/2]

◆ BSplineCurve2d() [2/2]

Member Function Documentation

◆ Degree()

◆ Dispose()

◆ IsRational()

◆ Knot()

◆ Knots()

◆ Multiplicities()

◆ Multiplicity()

◆ NumberOfKnots()

◆ NumberOfPoles()

◆ Pole()

◆ Poles()

◆ Weight()

◆ Weights()