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136 lines
3.7 KiB
C++
136 lines
3.7 KiB
C++
// Created on: 1991-07-24
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// Created by: Michel CHAUVAT
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// Copyright (c) 1991-1999 Matra Datavision
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// Copyright (c) 1999-2014 OPEN CASCADE SAS
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//
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// This file is part of Open CASCADE Technology software library.
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//
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// This library is free software; you can redistribute it and/or modify it under
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// the terms of the GNU Lesser General Public License version 2.1 as published
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// by the Free Software Foundation, with special exception defined in the file
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// OCCT_LGPL_EXCEPTION.txt. Consult the file LICENSE_LGPL_21.txt included in OCCT
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// distribution for complete text of the license and disclaimer of any warranty.
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//
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// Alternatively, this file may be used under the terms of Open CASCADE
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// commercial license or contractual agreement.
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#ifndef _Extrema_FuncExtPS_HeaderFile
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#define _Extrema_FuncExtPS_HeaderFile
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#include <Standard.hxx>
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#include <Standard_DefineAlloc.hxx>
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#include <Standard_Handle.hxx>
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#include <gp_Pnt.hxx>
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#include <Adaptor3d_SurfacePtr.hxx>
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#include <Standard_Real.hxx>
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#include <TColStd_SequenceOfReal.hxx>
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#include <Extrema_SequenceOfPOnSurf.hxx>
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#include <Standard_Boolean.hxx>
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#include <math_FunctionSetWithDerivatives.hxx>
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#include <Standard_Integer.hxx>
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#include <math_Vector.hxx>
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class Standard_OutOfRange;
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class gp_Pnt;
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class Adaptor3d_Surface;
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class math_Matrix;
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class Extrema_POnSurf;
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//! Functional for search of extremum of the distance between point P and
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//! surface S, starting from approximate solution (u0, v0).
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//!
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//! The class inherits math_FunctionSetWithDerivatives and thus is intended
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//! for use in math_FunctionSetRoot algorithm .
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//!
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//! Denoting derivatives of the surface S(u,v) by u and v, respectively, as
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//! Su and Sv, the two functions to be nullified are:
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//!
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//! F1(u,v) = (S - P) * Su
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//! F2(u,v) = (S - P) * Sv
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//!
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//! The derivatives of the functional are:
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//!
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//! Duf1(u,v) = Su^2 + (S-P) * Suu;
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//! Dvf1(u,v) = Su * Sv + (S-P) * Suv
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//! Duf2(u,v) = Sv * Su + (S-P) * Suv = Dvf1
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//! Dvf2(u,v) = Sv^2 + (S-P) * Svv
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//!
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//! Here * denotes scalar product, and ^2 is square power.
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class Extrema_FuncExtPS : public math_FunctionSetWithDerivatives
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{
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public:
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DEFINE_STANDARD_ALLOC
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Standard_EXPORT Extrema_FuncExtPS();
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Standard_EXPORT Extrema_FuncExtPS(const gp_Pnt& P, const Adaptor3d_Surface& S);
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//! sets the field mysurf of the function.
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Standard_EXPORT void Initialize (const Adaptor3d_Surface& S);
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//! sets the field mysurf of the function.
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Standard_EXPORT void SetPoint (const gp_Pnt& P);
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Standard_EXPORT Standard_Integer NbVariables() const Standard_OVERRIDE;
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Standard_EXPORT Standard_Integer NbEquations() const Standard_OVERRIDE;
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//! Calculate Fi(U,V).
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Standard_EXPORT Standard_Boolean Value (const math_Vector& UV, math_Vector& F) Standard_OVERRIDE;
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//! Calculate Fi'(U,V).
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Standard_EXPORT Standard_Boolean Derivatives (const math_Vector& UV, math_Matrix& DF) Standard_OVERRIDE;
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//! Calculate Fi(U,V) and Fi'(U,V).
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Standard_EXPORT Standard_Boolean Values (const math_Vector& UV, math_Vector& F, math_Matrix& DF) Standard_OVERRIDE;
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//! Save the found extremum.
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Standard_EXPORT virtual Standard_Integer GetStateNumber() Standard_OVERRIDE;
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//! Return the number of found extrema.
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Standard_EXPORT Standard_Integer NbExt() const;
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//! Return the value of the Nth distance.
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Standard_EXPORT Standard_Real SquareDistance (const Standard_Integer N) const;
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//! Returns the Nth extremum.
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Standard_EXPORT const Extrema_POnSurf& Point (const Standard_Integer N) const;
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protected:
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private:
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gp_Pnt myP;
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Adaptor3d_SurfacePtr myS;
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Standard_Real myU;
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Standard_Real myV;
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gp_Pnt myPs;
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TColStd_SequenceOfReal mySqDist;
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Extrema_SequenceOfPOnSurf myPoint;
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Standard_Boolean myPinit;
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Standard_Boolean mySinit;
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};
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#endif // _Extrema_FuncExtPS_HeaderFile
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