# Extrema_GenExtCS Class Reference

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_POnCurvPointOnCurve (const Standard_Integer N) const
Returns the point of the Nth resulting distance. More...

const Extrema_POnSurfPointOnSurface (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::Extrema_GenExtCS ( )
 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::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

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

Returns True if the distances are found.

 Standard_Integer Extrema_GenExtCS::NbExt ( ) const

Returns the number of extremum distances.

 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.

 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.

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

Returns the point of the Nth resulting distance.

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

Returns the point of the Nth resulting distance.

 Standard_Real Extrema_GenExtCS::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: