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// This file is generated by WOK (CPPExt).
// Please do not edit this file; modify original file instead.
// The copyright and license terms as defined for the original file apply to
// this header file considered to be the "object code" form of the original source.
#ifndef _Extrema_FuncExtPS_HeaderFile
#define _Extrema_FuncExtPS_HeaderFile
#include <Standard.hxx>
#include <Standard_DefineAlloc.hxx>
#include <Standard_Macro.hxx>
#include <gp_Pnt.hxx>
#include <Adaptor3d_SurfacePtr.hxx>
#include <Standard_Real.hxx>
#include <TColStd_SequenceOfReal.hxx>
#include <Extrema_SequenceOfPOnSurf.hxx>
#include <Standard_Boolean.hxx>
#include <math_FunctionSetWithDerivatives.hxx>
#include <Standard_Integer.hxx>
#include <math_Vector.hxx>
class Standard_OutOfRange;
class gp_Pnt;
class Adaptor3d_Surface;
class math_Matrix;
class Extrema_POnSurf;
//! Functional for search of extremum of the distance between point P and
//! surface S, starting from approximate solution (u0, v0).
//!
//! The class inherits math_FunctionSetWithDerivatives and thus is intended
//! for use in math_FunctionSetRoot algorithm .
//!
//! Denoting derivatives of the surface S(u,v) by u and v, respectively, as
//! Su and Sv, the two functions to be nullified are:
//!
//! F1(u,v) = (S - P) * Su
//! F2(u,v) = (S - P) * Sv
//!
//! The derivatives of the functional are:
//!
//! Duf1(u,v) = Su^2 + (S-P) * Suu;
//! Dvf1(u,v) = Su * Sv + (S-P) * Suv
//! Duf2(u,v) = Sv * Su + (S-P) * Suv = Dvf1
//! Dvf2(u,v) = Sv^2 + (S-P) * Svv
//!
//! Here * denotes scalar product, and ^2 is square power.
class Extrema_FuncExtPS : public math_FunctionSetWithDerivatives
{
public:
DEFINE_STANDARD_ALLOC
Standard_EXPORT Extrema_FuncExtPS();
Standard_EXPORT Extrema_FuncExtPS(const gp_Pnt& P, const Adaptor3d_Surface& S);
//! sets the field mysurf of the function.
Standard_EXPORT void Initialize (const Adaptor3d_Surface& S) ;
//! sets the field mysurf of the function.
Standard_EXPORT void SetPoint (const gp_Pnt& P) ;
Standard_EXPORT Standard_Integer NbVariables() const;
Standard_EXPORT Standard_Integer NbEquations() const;
//! Calculate Fi(U,V).
Standard_EXPORT Standard_Boolean Value (const math_Vector& UV, math_Vector& F) ;
//! Calculate Fi'(U,V).
Standard_EXPORT Standard_Boolean Derivatives (const math_Vector& UV, math_Matrix& DF) ;
//! Calculate Fi(U,V) and Fi'(U,V).
Standard_EXPORT Standard_Boolean Values (const math_Vector& UV, math_Vector& F, math_Matrix& DF) ;
//! Save the found extremum.
Standard_EXPORT virtual Standard_Integer GetStateNumber() ;
//! Return the number of found extrema.
Standard_EXPORT Standard_Integer NbExt() const;
//! Return the value of the Nth distance.
Standard_EXPORT Standard_Real SquareDistance (const Standard_Integer N) const;
//! Returns the Nth extremum.
Standard_EXPORT const Extrema_POnSurf& Point (const Standard_Integer N) const;
protected:
private:
gp_Pnt myP;
Adaptor3d_SurfacePtr myS;
Standard_Real myU;
Standard_Real myV;
gp_Pnt myPs;
TColStd_SequenceOfReal mySqDist;
Extrema_SequenceOfPOnSurf myPoint;
Standard_Boolean myPinit;
Standard_Boolean mySinit;
};
#endif // _Extrema_FuncExtPS_HeaderFile
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