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

#include <cadex/ModelData_BSplineCurve2d.hxx>

Inheritance diagram for cadex::ModelData_BSplineCurve2d:

Public Types
typedef cadex::internal::ModelData_BSplineCurve2dImpl	ImplType

Public Member Functions
	ModelData_BSplineCurve2d ()
	Constructor.

	ModelData_BSplineCurve2d (const ModelData_Point2d thePoles[], int theNumberOfPoles, const double theKnots[], int theNumberOfKnots, const int theMultiplicities[], int theDegree, bool theIsPeriodic=false)
	Constructor.

	ModelData_BSplineCurve2d (const ModelData_Point2d thePoles[], const double thePoleWeights[], int theNumberOfPoles, const double theKnots[], int theNumberOfKnots, const int theMultiplicities[], int theDegree, bool theIsPeriodic=false)
	Constructor.

	ModelData_BSplineCurve2d (const Handle_C &)
	Constructor.

int	Degree () const
	Returns degree.

int	NumberOfKnots () const
	Returns number of unique knots.

int	NumberOfPoles () const
	Returns number of poles.

double	Knot (int theIndex) const
	Returns a knot value.

int	Knots (double theKnots[]) const
	Populates a vector of knots.

int	Multiplicity (int theIndex) const
	Returns a knot multiplicity.

int	Multiplicities (int theMultiplicities[]) const
	Populates a vector of knot multiplicities.

ModelData_Point2d	Pole (int theIndex) const
	Returns a pole value.

int	Poles (ModelData_Point2d thePoles[]) const
	Populates a vector of poles.

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

double	Weight (int theIndex) const
	Returns a weight value.

int	Weights (double theWeights[]) const
	Populates a vector of weights.

Public Member Functions inherited from cadex::ModelData_Curve2d
	ModelData_Curve2d ()
	Constructor.

	ModelData_Curve2d (const ModelData_Curve2d &theOther)
	Constructor.

	ModelData_Curve2d (ModelData_Curve2d &&theOther)
	Constructor.

	~ModelData_Curve2d ()
	Destructor.

ModelData_Curve2d &	operator= (const ModelData_Curve2d &theOther)
	Assignment operator.

ModelData_Curve2d &	operator= (ModelData_Curve2d &&theOther)
	Move assignment operator.

ModelData_CurveType	Type () const
	Returns a curve type.

bool	IsNull () const
	Returns true if the object has not been initialized yet.

void	Nullify ()
	Resets the object.

	operator bool () const
	Returns if the object has been initialized.

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

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

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

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

ModelData_Point2d	Value (double theParameter) const
	Evaluates a point on the curve.

ModelData_Curve2d	Reversed () const
	Returns a curve with reversed orientation.

void	Transform (const ModelData_Transformation2d &theTransformation)
	Applies transformation matrix to this object.

ModelData_Curve2d	Transformed (const ModelData_Transformation2d &theTransformation) const
	Returns a copy this object after applying transformation.

ModelData_Continuity	Continuity () const
	Returns a continuity type of the curve.

void	D0 (double theParameter, ModelData_Point2d &theValue) const
	Returns the point theValue of parameter theParam.

void	D1 (double theParameter, ModelData_Point2d &theValue, ModelData_Vector2d &theD1) const
	Returns the point theValue of parameter theParam and the first derivative theD1.

void	D2 (double theParameter, ModelData_Point2d &theValue, ModelData_Vector2d &theD1, ModelData_Vector2d &theD2) const
	Returns the point theValue of parameter theParam and second derivatives theD1 and theD2.

bool	DN (double theParameter, size_t theDerivativeOrder, ModelData_Point2d &theValue, ModelData_Vector2d theD[]) const

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

void	Normal (double theParameter, ModelData_Direction2d &theNormal) const
	Returns the normal direction theNormal of parameter theParam.

Public Attributes
	operator Handle_C const

Public Attributes inherited from cadex::ModelData_Curve2d
	operator Handle_C const

Detailed Description

Defines 2D B-Spline curve.

For detailed description refer to 3D counterpart ModelData_BSplineCurve.

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

Constructor & Destructor Documentation

◆ ModelData_BSplineCurve2d() [1/3]

cadex::ModelData_BSplineCurve2d::ModelData_BSplineCurve2d ( )

inline

Constructor.

Empty constructor.

◆ ModelData_BSplineCurve2d() [2/3]

cadex::ModelData_BSplineCurve2d::ModelData_BSplineCurve2d	(	const ModelData_Point2d	thePoles[],
		int	theNumberOfPoles,
		const double	theKnots[],
		int	theNumberOfKnots,
		const int	theMultiplicities[],
		int	theDegree,
		bool	theIsPeriodic = `false`
	)

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 ModelData_BSplineCurve.

◆ ModelData_BSplineCurve2d() [3/3]

cadex::ModelData_BSplineCurve2d::ModelData_BSplineCurve2d	(	const ModelData_Point2d	thePoles[],
		const double	thePoleWeights[],
		int	theNumberOfPoles,
		const double	theKnots[],
		int	theNumberOfKnots,
		const int	theMultiplicities[],
		int	theDegree,
		bool	theIsPeriodic = `false`
	)

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 ModelData_BSplineCurve.

Poles are to be provided after division by their weights.

Member Function Documentation

◆ Degree()

int cadex::ModelData_BSplineCurve2d::Degree ( ) const

Returns degree.

Returns the value specified in the constructor.

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

◆ IsRational()

bool cadex::ModelData_BSplineCurve2d::IsRational ( ) const

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

See also: Weight().

◆ Knot()

double cadex::ModelData_BSplineCurve2d::Knot ( int theIndex ) const

Returns a knot value.

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

See also: Multiplicity().

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

◆ Knots()

int cadex::ModelData_BSplineCurve2d::Knots ( double theKnots[] ) const

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()

int cadex::ModelData_BSplineCurve2d::Multiplicities ( int theMultiplicities[] ) const

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::ModelData_BSplineCurve2d::Multiplicity ( int theIndex ) const

Returns a knot multiplicity.

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

See also: Knot().

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

◆ NumberOfKnots()

int cadex::ModelData_BSplineCurve2d::NumberOfKnots ( ) const

Returns number of unique knots.

Returns the value specified in the constructor.

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

◆ NumberOfPoles()

int cadex::ModelData_BSplineCurve2d::NumberOfPoles ( ) const

Returns number of poles.

Returns the value specified in the constructor.

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

◆ Pole()

ModelData_Point2d cadex::ModelData_BSplineCurve2d::Pole ( int theIndex ) const

Returns a pole value.

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

See also: Weight().

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

◆ Poles()

int cadex::ModelData_BSplineCurve2d::Poles ( ModelData_Point2d thePoles[] ) const

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::ModelData_BSplineCurve2d::Weight ( int theIndex ) const

Returns a weight value.

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

For polynomial B-Spline behavior is undefined.

See also: Pole().

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

◆ Weights()

int cadex::ModelData_BSplineCurve2d::Weights ( double theWeights[] ) const

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 Types

Public Member Functions

Public Attributes

Detailed Description

Constructor & Destructor Documentation

◆ ModelData_BSplineCurve2d() [1/3]

◆ ModelData_BSplineCurve2d() [2/3]

◆ ModelData_BSplineCurve2d() [3/3]

Member Function Documentation

◆ Degree()

◆ IsRational()

◆ Knot()

◆ Knots()

◆ Multiplicities()

◆ Multiplicity()

◆ NumberOfKnots()

◆ NumberOfPoles()

◆ Pole()

◆ Poles()

◆ Weight()

◆ Weights()