It calculates all the extremum distances between acurve and a surface. These distances can be minimum or maximum. More...

#include <Extrema_GenExtCS.hxx>

Public Member Functions
	Extrema_GenExtCS ()

	Extrema_GenExtCS (const Adaptor3d_Curve &C, const Adaptor3d_Surface &S, const Standard_Integer NbT, const Standard_Integer NbU, const Standard_Integer NbV, const Standard_Real Tol1, const Standard_Real Tol2)
	It calculates all the distances. The function F(u,v)=distance(S1(u1,v1),S2(u2,v2)) has an extremum when gradient(F)=0. The algorithm searchs all the zeros inside the definition ranges of the surfaces. NbU and NbV are used to locate the close points on the surface and NbT on the curve to find the zeros. More...

	Extrema_GenExtCS (const Adaptor3d_Curve &C, const Adaptor3d_Surface &S, const Standard_Integer NbT, const Standard_Integer NbU, const Standard_Integer NbV, const Standard_Real tmin, const Standard_Real tsup, const Standard_Real Umin, const Standard_Real Usup, const Standard_Real Vmin, const Standard_Real Vsup, const Standard_Real Tol1, const Standard_Real Tol2)
	It calculates all the distances. The function F(u,v)=distance(P,S(u,v)) has an extremum when gradient(F)=0. The algorithm searchs all the zeros inside the definition ranges of the surface. NbT,NbU and NbV are used to locate the close points to find the zeros. More...

void	Initialize (const Adaptor3d_Surface &S, const Standard_Integer NbU, const Standard_Integer NbV, const Standard_Real Tol2)

void	Initialize (const Adaptor3d_Surface &S, const Standard_Integer NbU, const Standard_Integer NbV, const Standard_Real Umin, const Standard_Real Usup, const Standard_Real Vmin, const Standard_Real Vsup, const Standard_Real Tol2)

void	Perform (const Adaptor3d_Curve &C, const Standard_Integer NbT, const Standard_Real Tol1)
	the algorithm is done with S An exception is raised if the fields have not been initialized. More...

void	Perform (const Adaptor3d_Curve &C, const Standard_Integer NbT, const Standard_Real tmin, const Standard_Real tsup, const Standard_Real Tol1)
	the algorithm is done with C An exception is raised if the fields have not been initialized. More...

Standard_Boolean	IsDone () const
	Returns True if the distances are found. More...

Standard_Integer	NbExt () const
	Returns the number of extremum distances. More...

Standard_Real	SquareDistance (const Standard_Integer N) const
	Returns the value of the Nth resulting square distance. More...

const Extrema_POnCurv &	PointOnCurve (const Standard_Integer N) const
	Returns the point of the Nth resulting distance. More...

const Extrema_POnSurf &	PointOnSurface (const Standard_Integer N) const
	Returns the point of the Nth resulting distance. More...

Detailed Description

It calculates all the extremum distances between acurve and a surface. These distances can be minimum or maximum.

Constructor & Destructor Documentation

◆ Extrema_GenExtCS() [1/3]

Extrema_GenExtCS::Extrema_GenExtCS ( )

◆ Extrema_GenExtCS() [2/3]

Extrema_GenExtCS::Extrema_GenExtCS	(	const Adaptor3d_Curve &	C,
		const Adaptor3d_Surface &	S,
		const Standard_Integer	NbT,
		const Standard_Integer	NbU,
		const Standard_Integer	NbV,
		const Standard_Real	Tol1,
		const Standard_Real	Tol2
	)

It calculates all the distances. The function F(u,v)=distance(S1(u1,v1),S2(u2,v2)) has an extremum when gradient(F)=0. The algorithm searchs all the zeros inside the definition ranges of the surfaces. NbU and NbV are used to locate the close points on the surface and NbT on the curve to find the zeros.

◆ Extrema_GenExtCS() [3/3]

Extrema_GenExtCS::Extrema_GenExtCS	(	const Adaptor3d_Curve &	C,
		const Adaptor3d_Surface &	S,
		const Standard_Integer	NbT,
		const Standard_Integer	NbU,
		const Standard_Integer	NbV,
		const Standard_Real	tmin,
		const Standard_Real	tsup,
		const Standard_Real	Umin,
		const Standard_Real	Usup,
		const Standard_Real	Vmin,
		const Standard_Real	Vsup,
		const Standard_Real	Tol1,
		const Standard_Real	Tol2
	)

It calculates all the distances. The function F(u,v)=distance(P,S(u,v)) has an extremum when gradient(F)=0. The algorithm searchs all the zeros inside the definition ranges of the surface. NbT,NbU and NbV are used to locate the close points to find the zeros.

Member Function Documentation

◆ Initialize() [1/2]

void Extrema_GenExtCS::Initialize	(	const Adaptor3d_Surface &	S,
		const Standard_Integer	NbU,
		const Standard_Integer	NbV,
		const Standard_Real	Tol2
	)

◆ Initialize() [2/2]

void Extrema_GenExtCS::Initialize	(	const Adaptor3d_Surface &	S,
		const Standard_Integer	NbU,
		const Standard_Integer	NbV,
		const Standard_Real	Umin,
		const Standard_Real	Usup,
		const Standard_Real	Vmin,
		const Standard_Real	Vsup,
		const Standard_Real	Tol2
	)

◆ IsDone()

Standard_Boolean Extrema_GenExtCS::IsDone ( ) const

Returns True if the distances are found.

◆ NbExt()

Standard_Integer Extrema_GenExtCS::NbExt ( ) const

Returns the number of extremum distances.

◆ Perform() [1/2]

void Extrema_GenExtCS::Perform	(	const Adaptor3d_Curve &	C,
		const Standard_Integer	NbT,
		const Standard_Real	Tol1
	)

the algorithm is done with S An exception is raised if the fields have not been initialized.

◆ Perform() [2/2]

void Extrema_GenExtCS::Perform	(	const Adaptor3d_Curve &	C,
		const Standard_Integer	NbT,
		const Standard_Real	tmin,
		const Standard_Real	tsup,
		const Standard_Real	Tol1
	)

the algorithm is done with C An exception is raised if the fields have not been initialized.

◆ PointOnCurve()

const Extrema_POnCurv& Extrema_GenExtCS::PointOnCurve ( const Standard_Integer N ) const

Returns the point of the Nth resulting distance.

◆ PointOnSurface()

const Extrema_POnSurf& Extrema_GenExtCS::PointOnSurface ( const Standard_Integer N ) const