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

#include <Extrema_GenExtPS.hxx>

Public Member Functions
	Extrema_GenExtPS ()

	Extrema_GenExtPS (const gp_Pnt &P, const Adaptor3d_Surface &S, const Standard_Integer NbU, const Standard_Integer NbV, const Standard_Real TolU, const Standard_Real TolV, const Extrema_ExtFlag F=Extrema_ExtFlag_MINMAX, const Extrema_ExtAlgo A=Extrema_ExtAlgo_Grad)
	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. NbU and NbV are used to locate the close points to find the zeros. They must be great enough such that if there is N extrema, there will be N extrema between P and the grid. TolU et TolV are used to determine the conditions to stop the iterations; at the iteration number n: (Un - Un-1) < TolU and (Vn - Vn-1) < TolV . More...

	Extrema_GenExtPS (const gp_Pnt &P, 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 TolU, const Standard_Real TolV, const Extrema_ExtFlag F=Extrema_ExtFlag_MINMAX, const Extrema_ExtAlgo A=Extrema_ExtAlgo_Grad)
	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. NbU and NbV are used to locate the close points to find the zeros. They must be great enough such that if there is N extrema, there will be N extrema between P and the grid. TolU et TolV are used to determine the conditions to stop the iterations; at the iteration number n: (Un - Un-1) < TolU and (Vn - Vn-1) < TolV . More...

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

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 TolU, const Standard_Real TolV)

void	Perform (const gp_Pnt &P)
	the algorithm is done with the point P. An exception is raised if the fields have not been initialized. More...

void	SetFlag (const Extrema_ExtFlag F)

void	SetAlgo (const Extrema_ExtAlgo A)

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_POnSurf &	Point (const Standard_Integer N) const
	Returns the point of the Nth resulting distance. More...

Detailed Description

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

Constructor & Destructor Documentation

◆ Extrema_GenExtPS() [1/3]

Extrema_GenExtPS::Extrema_GenExtPS ( )

◆ Extrema_GenExtPS() [2/3]

Extrema_GenExtPS::Extrema_GenExtPS	(	const gp_Pnt &	P,
		const Adaptor3d_Surface &	S,
		const Standard_Integer	NbU,
		const Standard_Integer	NbV,
		const Standard_Real	TolU,
		const Standard_Real	TolV,
		const Extrema_ExtFlag	F = `Extrema_ExtFlag_MINMAX`,
		const Extrema_ExtAlgo	A = `Extrema_ExtAlgo_Grad`
	)

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. NbU and NbV are used to locate the close points to find the zeros. They must be great enough such that if there is N extrema, there will be N extrema between P and the grid. TolU et TolV are used to determine the conditions to stop the iterations; at the iteration number n: (Un - Un-1) < TolU and (Vn - Vn-1) < TolV .

◆ Extrema_GenExtPS() [3/3]

Extrema_GenExtPS::Extrema_GenExtPS	(	const gp_Pnt &	P,
		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	TolU,
		const Standard_Real	TolV,
		const Extrema_ExtFlag	F = `Extrema_ExtFlag_MINMAX`,
		const Extrema_ExtAlgo	A = `Extrema_ExtAlgo_Grad`
	)

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. NbU and NbV are used to locate the close points to find the zeros. They must be great enough such that if there is N extrema, there will be N extrema between P and the grid. TolU et TolV are used to determine the conditions to stop the iterations; at the iteration number n: (Un - Un-1) < TolU and (Vn - Vn-1) < TolV .

Member Function Documentation

◆ Initialize() [1/2]

void Extrema_GenExtPS::Initialize	(	const Adaptor3d_Surface &	S,
		const Standard_Integer	NbU,
		const Standard_Integer	NbV,
		const Standard_Real	TolU,
		const Standard_Real	TolV
	)

◆ Initialize() [2/2]

void Extrema_GenExtPS::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	TolU,
		const Standard_Real	TolV
	)

◆ IsDone()

Standard_Boolean Extrema_GenExtPS::IsDone ( ) const

Returns True if the distances are found.

◆ NbExt()

Standard_Integer Extrema_GenExtPS::NbExt ( ) const

Returns the number of extremum distances.

◆ Perform()

void Extrema_GenExtPS::Perform ( const gp_Pnt & P )

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

◆ Point()

const Extrema_POnSurf& Extrema_GenExtPS::Point ( const Standard_Integer N ) const

Returns the point of the Nth resulting distance.

◆ SetAlgo()

void Extrema_GenExtPS::SetAlgo ( const Extrema_ExtAlgo A )

◆ SetFlag()

void Extrema_GenExtPS::SetFlag ( const Extrema_ExtFlag F )

◆ SquareDistance()

Standard_Real Extrema_GenExtPS::SquareDistance ( const Standard_Integer N ) const

Returns the value of the Nth resulting square distance.

The documentation for this class was generated from the following file:

Extrema_GenExtPS.hxx

Public Member Functions