Base class for 2D curves. More...

#include <cadex/Geom/Curve2d.hxx>

Inheritance diagram for cadex::Geom::Curve2d:

Public Member Functions
	Curve2d ()
	Constructor.

CurveType	Type () const
	Returns a curve type.

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

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

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

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

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.

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

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

void	D0 (double theParameter, Point2d &theValue) const
	Returns the point theValue of parameter theParam.

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

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

bool	DN (double theParameter, size_t theDerivativeOrder, Geom::Point2d &theValue, std::vector< Geom::Vector2d > &theD) const

void	Transform (const Transformation2d &theTransformation)
	Applies transformation matrix to this object.

Curve2d	Transformed (const Transformation2d &theTransformation) const
	Returns a copy this object after applying transformation.

Public Member Functions inherited from cadex::BaseObject
size_t	Id () const
	Return unique identifier of public object.

internal::BaseObjectImpl *	Impl () const

bool	IsNull () const

	operator bool () const

template<typename T >
bool	IsOfType () const

template<typename T >
T *	Impl () const
	Reserved for internal use.

Static Public Member Functions
static bool	CompareType (const BaseObject &theObject)

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

Protected Member Functions
	Curve2d (const ImplType &theImpl)

Protected Member Functions inherited from cadex::Geom::Geometry
	Geometry (const ImplType &theImpl)

Protected Member Functions inherited from cadex::BaseObject
	BaseObject (const ImplType &theImpl)

Additional Inherited Members
Public Types inherited from cadex::BaseObject
typedef std::shared_ptr< internal::BaseObjectImpl >	ImplType

Detailed Description

Base class for 2D curves.

2D curves are used to represent curves in surface parametric domains (p-curves). They are used by edges owned by faces.

For detailed description refer to 3D counterpart Curve.

See also: Curves.

Member Function Documentation

◆ D0()

void cadex::Geom::Curve2d::D0	(	double	theParameter,
		Point2d &	theValue ) const

Returns the point theValue of parameter theParam.

Throws exception only for the OffsetCurve if it is not possible to compute the current point. For example when the first derivative on the basis curve and the offset direction are parallel.

◆ D1()

void cadex::Geom::Curve2d::D1	(	double	theParameter,
		Point2d &	theValue,
		Vector2d &	theD1 ) const

Returns the point theValue of parameter theParam and the first derivative theD1.

Throws exception if the continuity of the curve is not C1.

◆ D2()

void cadex::Geom::Curve2d::D2	(	double	theParameter,
		Point2d &	theValue,
		Vector2d &	theD1,
		Vector2d &	theD2 ) const

Returns the point theValue of parameter theParam and second derivatives theD1 and theD2.

Throws exception if the continuity of the curve is not C2.

◆ DN()

bool cadex::Geom::Curve2d::DN	(	double	theParameter,
		size_t	theDerivativeOrder,
		Geom::Point2d &	theValue,
		std::vector< Geom::Vector2d > &	theD ) const

Returns true if calculation was passed succsesfully, the returned vectors gives the value of the derivative for the order of derivation theDerivativeOrder. Otherwise returns false. Throws exception if the continuity of the curve is not CN.

Parameters:

theDerivativeOrder must belong to range [0, 3].
theD should have enough size to store theDerivativeOrder derivatives.

◆ Domain()

void cadex::Geom::Curve2d::Domain	(	double &	theUMin,
		double &	theUMax ) const

Returns a definition domain.

See also: UMin(), UMax().

◆ Transform()

void cadex::Geom::Curve2d::Transform ( const Transformation2d & theTransformation )

Applies transformation matrix to this object.

Results depends on the actual curve type.

See also: Transformed().

◆ Transformed()

Curve2d cadex::Geom::Curve2d::Transformed ( const Transformation2d & theTransformation ) const

Returns a copy this object after applying transformation.

The contents of this object is not modified.

See also: Transform().

◆ UMax()

double cadex::Geom::Curve2d::UMax ( ) const

Returns a maximum parameter of a definition domain.

See also: UMin(), Domain().

◆ UMin()

double cadex::Geom::Curve2d::UMin ( ) const

Returns a minimum parameter of a definition domain.

See also: UMax(), Domain().

◆ Value()

Geom::Point2d cadex::Geom::Curve2d::Value ( double theParameter ) const

Evaluates a point on the curve.

theParameter must be within Domain() if the curve is not periodic.

Public Member Functions

Static Public Member Functions

Protected Member Functions

Additional Inherited Members