#include <LProp3d_SLProps.hxx>

Public Member Functions
	LProp3d_SLProps (const Handle< Adaptor3d_Surface > &S, const Standard_Real U, const Standard_Real V, const Standard_Integer N, const Standard_Real Resolution)
	Initializes the local properties of the surface for the parameter values (, <V>). The current point and the derivatives are computed at the same time, which allows an optimization of the computation time. <N> indicates the maximum number of derivations to be done (0, 1, or 2). For example, to compute only the tangent, N should be equal to 1. <Resolution> is the linear tolerance (it is used to test if a vector is null).

	LProp3d_SLProps (const Handle< Adaptor3d_Surface > &S, const Standard_Integer N, const Standard_Real Resolution)
	idem as previous constructor but without setting the value of parameters and <V>.

	LProp3d_SLProps (const Standard_Integer N, const Standard_Real Resolution)
	idem as previous constructor but without setting the value of parameters and <V> and the surface. the surface can have an empty constructor.

void	SetSurface (const Handle< Adaptor3d_Surface > &S)
	Initializes the local properties of the surface S for the new surface.

void	SetParameters (const Standard_Real U, const Standard_Real V)
	Initializes the local properties of the surface S for the new parameter values (, <V>).

const gp_Pnt &	Value () const
	Returns the point.

const gp_Vec &	D1U ()
	Returns the first U derivative. The derivative is computed if it has not been yet.

const gp_Vec &	D1V ()
	Returns the first V derivative. The derivative is computed if it has not been yet.

const gp_Vec &	D2U ()
	Returns the second U derivatives The derivative is computed if it has not been yet.

const gp_Vec &	D2V ()
	Returns the second V derivative. The derivative is computed if it has not been yet.

const gp_Vec &	DUV ()
	Returns the second UV cross-derivative. The derivative is computed if it has not been yet.

Standard_Boolean	IsTangentUDefined ()
	returns True if the U tangent is defined. For example, the tangent is not defined if the two first U derivatives are null.

void	TangentU (gp_Dir &D)
	Returns the tangent direction <D> on the iso-V.

Standard_Boolean	IsTangentVDefined ()
	returns if the V tangent is defined. For example, the tangent is not defined if the two first V derivatives are null.

void	TangentV (gp_Dir &D)
	Returns the tangent direction <D> on the iso-V.

Standard_Boolean	IsNormalDefined ()
	Tells if the normal is defined.

const gp_Dir &	Normal ()
	Returns the normal direction.

Standard_Boolean	IsCurvatureDefined ()
	returns True if the curvature is defined.

Standard_Boolean	IsUmbilic ()
	returns True if the point is umbilic (i.e. if the curvature is constant).

Standard_Real	MaxCurvature ()
	Returns the maximum curvature.

Standard_Real	MinCurvature ()
	Returns the minimum curvature.

void	CurvatureDirections (gp_Dir &MaxD, gp_Dir &MinD)
	Returns the direction of the maximum and minimum curvature <MaxD> and <MinD>

Standard_Real	MeanCurvature ()
	Returns the mean curvature.

Standard_Real	GaussianCurvature ()
	Returns the Gaussian curvature.

Constructor & Destructor Documentation

◆ LProp3d_SLProps() [1/3]

LProp3d_SLProps::LProp3d_SLProps	(	const Handle< Adaptor3d_Surface > &	S,
		const Standard_Real	U,
		const Standard_Real	V,
		const Standard_Integer	N,
		const Standard_Real	Resolution )

Initializes the local properties of the surface for the parameter values (, <V>). The current point and the derivatives are computed at the same time, which allows an optimization of the computation time. <N> indicates the maximum number of derivations to be done (0, 1, or 2). For example, to compute only the tangent, N should be equal to 1. <Resolution> is the linear tolerance (it is used to test if a vector is null).

◆ LProp3d_SLProps() [2/3]

LProp3d_SLProps::LProp3d_SLProps	(	const Handle< Adaptor3d_Surface > &	S,
		const Standard_Integer	N,
		const Standard_Real	Resolution )

idem as previous constructor but without setting the value of parameters and <V>.

◆ LProp3d_SLProps() [3/3]

LProp3d_SLProps::LProp3d_SLProps	(	const Standard_Integer	N,
		const Standard_Real	Resolution )

idem as previous constructor but without setting the value of parameters and <V> and the surface. the surface can have an empty constructor.

Member Function Documentation

◆ CurvatureDirections()

void LProp3d_SLProps::CurvatureDirections	(	gp_Dir &	MaxD,
		gp_Dir &	MinD )

Returns the direction of the maximum and minimum curvature <MaxD> and <MinD>

◆ D1U()

const gp_Vec & LProp3d_SLProps::D1U ( )

Returns the first U derivative. The derivative is computed if it has not been yet.

◆ D1V()

const gp_Vec & LProp3d_SLProps::D1V ( )

Returns the first V derivative. The derivative is computed if it has not been yet.

◆ D2U()

const gp_Vec & LProp3d_SLProps::D2U ( )

Returns the second U derivatives The derivative is computed if it has not been yet.

◆ D2V()

const gp_Vec & LProp3d_SLProps::D2V ( )

Returns the second V derivative. The derivative is computed if it has not been yet.

◆ DUV()

const gp_Vec & LProp3d_SLProps::DUV ( )

Returns the second UV cross-derivative. The derivative is computed if it has not been yet.

◆ GaussianCurvature()

Standard_Real LProp3d_SLProps::GaussianCurvature ( )

Returns the Gaussian curvature.

◆ IsCurvatureDefined()

Standard_Boolean LProp3d_SLProps::IsCurvatureDefined ( )

returns True if the curvature is defined.

◆ IsNormalDefined()

Standard_Boolean LProp3d_SLProps::IsNormalDefined ( )

Tells if the normal is defined.

◆ IsTangentUDefined()

Standard_Boolean LProp3d_SLProps::IsTangentUDefined ( )

returns True if the U tangent is defined. For example, the tangent is not defined if the two first U derivatives are null.

◆ IsTangentVDefined()

Standard_Boolean LProp3d_SLProps::IsTangentVDefined ( )

returns if the V tangent is defined. For example, the tangent is not defined if the two first V derivatives are null.

◆ IsUmbilic()

Standard_Boolean LProp3d_SLProps::IsUmbilic ( )

returns True if the point is umbilic (i.e. if the curvature is constant).

◆ MaxCurvature()

Standard_Real LProp3d_SLProps::MaxCurvature ( )

Returns the maximum curvature.

◆ MeanCurvature()

Standard_Real LProp3d_SLProps::MeanCurvature ( )

Returns the mean curvature.

◆ MinCurvature()

Standard_Real LProp3d_SLProps::MinCurvature ( )

Returns the minimum curvature.

◆ Normal()

const gp_Dir & LProp3d_SLProps::Normal ( )

Returns the normal direction.

◆ SetParameters()

void LProp3d_SLProps::SetParameters	(	const Standard_Real	U,
		const Standard_Real	V )

Initializes the local properties of the surface S for the new parameter values (, <V>).

◆ SetSurface()

void LProp3d_SLProps::SetSurface ( const Handle< Adaptor3d_Surface > & S )

Initializes the local properties of the surface S for the new surface.

◆ TangentU()

void LProp3d_SLProps::TangentU ( gp_Dir & D )

Returns the tangent direction <D> on the iso-V.

◆ TangentV()

void LProp3d_SLProps::TangentV ( gp_Dir & D )