It calculates all the extremum distances between two surfaces. These distances can be minimum or maximum. More...

#include <Extrema_GenExtSS.hxx>

Public Member Functions
	Extrema_GenExtSS ()
	Empty constructor.

	~Extrema_GenExtSS ()
	Destructor.

	Extrema_GenExtSS (const Adaptor3d_Surface &S1, const Adaptor3d_Surface &S2, 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 searches all the zeros inside the definition ranges of the surfaces. NbU and NbV are used to locate the close points to find the zeros.

	Extrema_GenExtSS (const Adaptor3d_Surface &S1, const Adaptor3d_Surface &S2, const Standard_Integer NbU, const Standard_Integer NbV, const Standard_Real U1min, const Standard_Real U1sup, const Standard_Real V1min, const Standard_Real V1sup, const Standard_Real U2min, const Standard_Real U2sup, const Standard_Real V2min, const Standard_Real V2sup, 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 searches all the zeros inside the definition ranges of the surface. NbU and NbV are used to locate the close points to find the zeros.

void	Initialize (const Adaptor3d_Surface &S2, const Standard_Integer NbU, const Standard_Integer NbV, const Standard_Real Tol2)

void	Initialize (const Adaptor3d_Surface &S2, const Standard_Integer NbU, const Standard_Integer NbV, const Standard_Real U2min, const Standard_Real U2sup, const Standard_Real V2min, const Standard_Real V2sup, const Standard_Real Tol2)

void	Perform (const Adaptor3d_Surface &S1, const Standard_Real Tol1)
	the algorithm is done with S1 An exception is raised if the fields have not been initialized.

void	Perform (const Adaptor3d_Surface &S1, const Standard_Real U1min, const Standard_Real U1sup, const Standard_Real V1min, const Standard_Real V1sup, const Standard_Real Tol1)
	the algorithm is done withS1 An exception is raised if the fields have not been initialized.

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

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

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

const Extrema_POnSurf &	PointOnS1 (const Standard_Integer N) const
	Returns the point of the Nth resulting distance.

const Extrema_POnSurf &	PointOnS2 (const Standard_Integer N) const
	Returns the point of the Nth resulting distance.

Detailed Description

It calculates all the extremum distances between two surfaces. These distances can be minimum or maximum.

Constructor & Destructor Documentation

◆ Extrema_GenExtSS() [1/3]

Extrema_GenExtSS::Extrema_GenExtSS ( )

Empty constructor.

◆ ~Extrema_GenExtSS()

Extrema_GenExtSS::~Extrema_GenExtSS ( )

Destructor.

◆ Extrema_GenExtSS() [2/3]

Extrema_GenExtSS::Extrema_GenExtSS	(	const Adaptor3d_Surface &	S1,
		const Adaptor3d_Surface &	S2,
		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 searches all the zeros inside the definition ranges of the surfaces. NbU and NbV are used to locate the close points to find the zeros.

◆ Extrema_GenExtSS() [3/3]

Extrema_GenExtSS::Extrema_GenExtSS	(	const Adaptor3d_Surface &	S1,
		const Adaptor3d_Surface &	S2,
		const Standard_Integer	NbU,
		const Standard_Integer	NbV,
		const Standard_Real	U1min,
		const Standard_Real	U1sup,
		const Standard_Real	V1min,
		const Standard_Real	V1sup,
		const Standard_Real	U2min,
		const Standard_Real	U2sup,
		const Standard_Real	V2min,
		const Standard_Real	V2sup,
		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 searches all the zeros inside the definition ranges of the surface. NbU and NbV are used to locate the close points to find the zeros.

Member Function Documentation

◆ Initialize() [1/2]

void Extrema_GenExtSS::Initialize	(	const Adaptor3d_Surface &	S2,
		const Standard_Integer	NbU,
		const Standard_Integer	NbV,
		const Standard_Real	Tol2 )

◆ Initialize() [2/2]

void Extrema_GenExtSS::Initialize	(	const Adaptor3d_Surface &	S2,
		const Standard_Integer	NbU,
		const Standard_Integer	NbV,
		const Standard_Real	U2min,
		const Standard_Real	U2sup,
		const Standard_Real	V2min,
		const Standard_Real	V2sup,
		const Standard_Real	Tol2 )

◆ IsDone()

Standard_Boolean Extrema_GenExtSS::IsDone ( ) const

Returns True if the distances are found.

◆ NbExt()

Standard_Integer Extrema_GenExtSS::NbExt ( ) const

Returns the number of extremum distances.

◆ Perform() [1/2]

void Extrema_GenExtSS::Perform	(	const Adaptor3d_Surface &	S1,
		const Standard_Real	Tol1 )

the algorithm is done with S1 An exception is raised if the fields have not been initialized.

◆ Perform() [2/2]

void Extrema_GenExtSS::Perform	(	const Adaptor3d_Surface &	S1,
		const Standard_Real	U1min,
		const Standard_Real	U1sup,
		const Standard_Real	V1min,
		const Standard_Real	V1sup,
		const Standard_Real	Tol1 )

the algorithm is done withS1 An exception is raised if the fields have not been initialized.

◆ PointOnS1()

const Extrema_POnSurf & Extrema_GenExtSS::PointOnS1 ( const Standard_Integer N ) const

Returns the point of the Nth resulting distance.

◆ PointOnS2()

const Extrema_POnSurf & Extrema_GenExtSS::PointOnS2 ( const Standard_Integer N ) const