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License statement text corrected; compiler warnings caused by Bison 2.41 disabled for MSVC; a few other compiler warnings on 54-bit Windows eliminated by appropriate type cast Wrong license statements corrected in several files. Copyright and license statements added in XSD and GLSL files. Copyright year updated in some files. Obsolete documentation files removed from DrawResources.
287 lines
8.3 KiB
C++
287 lines
8.3 KiB
C++
// Created on: 1996-01-09
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// Created by: Laurent PAINNOT
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// Copyright (c) 1996-1999 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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#include <Extrema_FuncExtCS.ixx>
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#include <gp_Vec.hxx>
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#include <Standard_TypeMismatch.hxx>
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#include <Precision.hxx>
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/*-----------------------------------------------------------------------------
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Fonction permettant de rechercher une distance extremale entre une courbe C
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et une surface S.
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Cette classe herite de math_FunctionWithDerivative et est utilisee par
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les algorithmes math_FunctionRoot et math_FunctionRoots.
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{ F1(t,u,v) = (C(t)-S(u,v)).Dtc(t) }
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{ F2(t,u,v) = (C(t)-S(u,v)).Dus(u,v) }
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{ F3(t,u,v) = (C(t)-S(u,v)).Dvs(u,v) }
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{ Dtf1(t,u,v) = Dtc(t).Dtc(t)+(C(t)-S(u,v)).Dttc(t)
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= ||Dtc(t)||**2+(C(t)-S(u,v)).Dttc(t) }
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{ Duf1(t,u,v) = -Dus(u,v).Dtc(t) }
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{ Dvf1(t,u,v) = -Dvs(u,v).Dtc(t) }
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{ Dtf2(t,u,v) = Dtc(t).Dus(u,v) }
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{ Duf2(t,u,v) = -Dus(u,v).Dus(u,v)+(C(t)-S(u,v)).Duus(u,v)
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= -||Dus(u,v)||**2+(C(t)-S(u,v)).Duus(u,v) }
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{ Dvf2(t,u,v) = -Dvs(u,v).Dus(u,v)+(C(t)-S(u,v)).Duvs(u,v) }
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{ Dtf3(t,u,v) = Dtc(t).Dvs(u,v) }
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{ Duf3(t,u,v) = -Dus(u,v).Dvs(u,v)+(C(t)-S(u,v)).Duvs(u,v) }
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{ Dvf3(t,u,v) = -Dvs(u,v).Dvs(u,v)+(C(t)-S(u,v)).Dvvs(u,v) }
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----------------------------------------------------------------------------*/
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//=======================================================================
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//function : Extrema_FuncExtCS
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//purpose :
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//=======================================================================
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Extrema_FuncExtCS::Extrema_FuncExtCS()
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{
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myCinit = Standard_False;
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mySinit = Standard_False;
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}
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//=======================================================================
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//function : Extrema_FuncExtCS
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//purpose :
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//=======================================================================
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Extrema_FuncExtCS::Extrema_FuncExtCS(const Adaptor3d_Curve& C,
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const Adaptor3d_Surface& S)
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{
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Initialize(C, S);
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}
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//=======================================================================
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//function : Initialize
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//purpose :
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//=======================================================================
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void Extrema_FuncExtCS::Initialize(const Adaptor3d_Curve& C,
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const Adaptor3d_Surface& S)
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{
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myC = (Adaptor3d_CurvePtr)&C;
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myS = (Adaptor3d_SurfacePtr)&S;
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myCinit = Standard_True;
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mySinit = Standard_True;
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myPoint1.Clear();
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myPoint2.Clear();
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mySqDist.Clear();
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}
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//=======================================================================
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//function : NbVariables
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//purpose :
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//=======================================================================
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Standard_Integer Extrema_FuncExtCS::NbVariables() const
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{
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return (3);
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}
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//=======================================================================
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//function : NbEquations
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//purpose :
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//=======================================================================
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Standard_Integer Extrema_FuncExtCS::NbEquations() const
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{
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return (3);
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}
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//=======================================================================
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//function : Value
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//purpose :
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//=======================================================================
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Standard_Boolean Extrema_FuncExtCS::Value(const math_Vector& UV,
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math_Vector& F)
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{
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if (!myCinit || !mySinit) Standard_TypeMismatch::Raise();
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myt = UV(1);
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myU = UV(2);
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myV = UV(3);
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// gp_Vec Dtc, Dttc;
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gp_Vec Dtc;
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/// gp_Vec Dus, Dvs, Duvs, Duus, Dvvs;
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gp_Vec Dus, Dvs;
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myC->D1(myt, myP1, Dtc);
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myS->D1(myU,myV,myP2,Dus,Dvs);
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gp_Vec P1P2 (myP2,myP1);
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F(1) = P1P2.Dot(Dtc);
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F(2) = P1P2.Dot(Dus);
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F(3) = P1P2.Dot(Dvs);
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return Standard_True;
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}
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//=======================================================================
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//function : Derivatives
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//purpose :
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//=======================================================================
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Standard_Boolean Extrema_FuncExtCS::Derivatives(const math_Vector& UV,
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math_Matrix& DF)
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{
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math_Vector F(1,3);
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return Values(UV,F,DF);
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}
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//=======================================================================
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//function : Values
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//purpose :
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//=======================================================================
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Standard_Boolean Extrema_FuncExtCS::Values(const math_Vector& UV,
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math_Vector& F,
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math_Matrix& Df)
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{
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if (!myCinit || !mySinit) Standard_TypeMismatch::Raise();
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myt = UV(1);
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myU = UV(2);
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myV = UV(3);
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gp_Vec Dtc, Dttc;
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gp_Vec Dus, Dvs, Duvs, Duus, Dvvs;
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myC->D2(myt, myP1, Dtc, Dttc);
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myS->D2(myU,myV,myP2,Dus,Dvs,Duus,Dvvs,Duvs);
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gp_Vec P1P2 (myP2,myP1);
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F(1) = P1P2.Dot(Dtc);
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F(2) = P1P2.Dot(Dus);
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F(3) = P1P2.Dot(Dvs);
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Df(1,1) = Dtc.SquareMagnitude() + P1P2.Dot(Dttc);
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Df(1,2) = -Dus.Dot(Dtc);
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Df(1,3) = -Dvs.Dot(Dtc);
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Df(2,1) = -Df(1, 2); // Dtc.Dot(Dus);
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Df(2,2) = -Dus.SquareMagnitude()+P1P2.Dot(Duus);
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Df(2,3) = -Dvs.Dot(Dus)+P1P2.Dot(Duvs);
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Df(3,1) = -Df(1,3); // Dtc.Dot(Dvs);
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Df(3,2) = Df(2,3); // -Dus.Dot(Dvs)+P1P2.Dot(Duvs);
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Df(3,3) = -Dvs.SquareMagnitude()+P1P2.Dot(Dvvs);
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return Standard_True;
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}
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//=======================================================================
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//function : GetStateNumber
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//purpose :
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//=======================================================================
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Standard_Integer Extrema_FuncExtCS::GetStateNumber()
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{
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if (!myCinit || !mySinit) Standard_TypeMismatch::Raise();
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#if 0
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math_Vector Sol(1, 3), UVSol(1, 3);
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UVSol(1) = myt; UVSol(2) = myU; UVSol(3) = myV;
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Value(UVSol, Sol);
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cout <<"F(1)= "<<Sol(1)<<" F(2)= "<<Sol(2)<<" F(3)= "<<Sol(3)<<endl;
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#endif
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//comparison of solution with previous solutions
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Standard_Real tol2d = Precision::PConfusion() * Precision::PConfusion();
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Standard_Integer i = 1, nbSol = mySqDist.Length();
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for( ; i <= nbSol; i++)
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{
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Standard_Real aU = myPoint1(i).Parameter();
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if( (myU - aU) * (myU - aU) <= tol2d )
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break;
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}
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if (i <= nbSol)
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return 0;
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mySqDist.Append(myP1.SquareDistance(myP2));
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myPoint1.Append(Extrema_POnCurv(myt,myP1));
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myPoint2.Append(Extrema_POnSurf(myU,myV,myP2));
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return 0;
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}
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//=======================================================================
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//function : NbExt
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//purpose :
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//=======================================================================
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Standard_Integer Extrema_FuncExtCS::NbExt() const
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{
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return mySqDist.Length();
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}
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//=======================================================================
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//function : SquareDistance
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//purpose :
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//=======================================================================
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Standard_Real Extrema_FuncExtCS::SquareDistance(const Standard_Integer N) const
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{
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if (!myCinit || !mySinit) Standard_TypeMismatch::Raise();
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return mySqDist.Value(N);
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}
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//=======================================================================
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//function : PointOnCurve
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//purpose :
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//=======================================================================
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const Extrema_POnCurv& Extrema_FuncExtCS::PointOnCurve(const Standard_Integer N) const
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{
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if (!myCinit || !mySinit) Standard_TypeMismatch::Raise();
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return myPoint1.Value(N);
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}
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//=======================================================================
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//function : PointOnSurface
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//purpose :
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//=======================================================================
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const Extrema_POnSurf& Extrema_FuncExtCS::PointOnSurface(const Standard_Integer N) const
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{
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if (!myCinit || !mySinit) Standard_TypeMismatch::Raise();
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return myPoint2.Value(N);
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}
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//=======================================================================
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//function : Bidon1
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//purpose :
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//=======================================================================
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Adaptor3d_SurfacePtr Extrema_FuncExtCS::Bidon1() const
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{
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return (Adaptor3d_SurfacePtr)0L;
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}
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//=======================================================================
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//function : Bidon2
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//purpose :
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//=======================================================================
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Adaptor3d_CurvePtr Extrema_FuncExtCS::Bidon2() const
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{
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return (Adaptor3d_CurvePtr)0L;
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}
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