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292 lines
10 KiB
C++
292 lines
10 KiB
C++
// Created on: 1997-07-29
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// Created by: Jerome LEMONIER
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// Copyright (c) 1997-1999 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 <BRepBlend_SurfPointEvolRadInv.hxx>
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#include <gp_Pnt.hxx>
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#include <Law_Function.hxx>
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#include <math_Matrix.hxx>
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//=======================================================================
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//function :
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//purpose :
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//=======================================================================
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BRepBlend_SurfPointEvolRadInv::BRepBlend_SurfPointEvolRadInv
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(const Handle(Adaptor3d_Surface)& S,
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const Handle(Adaptor3d_Curve)& C,
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const Handle(Law_Function)& Evol
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) : surf(S), curv(C)
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{ tevol=Evol;
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}
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//=======================================================================
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//function :
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//purpose :
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//=======================================================================
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void BRepBlend_SurfPointEvolRadInv::Set(const Standard_Integer Choix)
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{ choix = Choix;
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switch (choix) {
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case 1 :
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case 2 :
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sg1 = -1;
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break;
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case 3 :
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case 4 :
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sg1 = 1;
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break;
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default :
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sg1 = -1;
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break;
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}
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}
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//=======================================================================
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//function :
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//purpose :
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//=======================================================================
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Standard_Integer BRepBlend_SurfPointEvolRadInv::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 :
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//purpose :
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//=======================================================================
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Standard_Boolean BRepBlend_SurfPointEvolRadInv::Value(const math_Vector& X,math_Vector& F)
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{
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Standard_Real theD,norm,unsurnorm;
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gp_Pnt ptcur,pts;
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gp_Vec d1cur,d1u,d1v;
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gp_XYZ nplan(0.,0.,0.),ns(0.,0.,0.),ref(0.,0.,0.);
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curv->D1(X(1),ptcur,d1cur);
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ray = sg1*tevol->Value(X(1));
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nplan = d1cur.Normalized().XYZ();
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theD = -(nplan.Dot(ptcur.XYZ()));
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surf->D1(X(2),X(3),pts,d1u,d1v);
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F(1) = nplan.Dot(point.XYZ()) + theD;
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F(2) = nplan.Dot(pts.XYZ()) + theD;
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ns = d1u.Crossed(d1v).XYZ();
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norm = nplan.Crossed(ns).Modulus();
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unsurnorm = 1./norm;
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ns.SetLinearForm(nplan.Dot(ns),nplan, -1.,ns);
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ns.Multiply(unsurnorm);
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ref = pts.XYZ() - point.XYZ();
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ref.SetLinearForm(ray,ns,ref);
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F(3) = ref.SquareModulus() - ray*ray;
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return Standard_True;
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}
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//=======================================================================
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//function :
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//purpose :
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//=======================================================================
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Standard_Boolean BRepBlend_SurfPointEvolRadInv::Derivatives(const math_Vector& X,math_Matrix& D)
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{
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gp_Pnt ptcur,pts;
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gp_Vec d1cur,d2cur,nplan,dnplan,d1u,d1v,d2u,d2v,duv;
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Standard_Real dtheD, normd1cur, unsurnormd1cur,dray;
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curv->D2(X(1),ptcur,d1cur,d2cur);
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tevol->D1(X(1),ray,dray);
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ray=sg1*ray;
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dray=sg1*dray;
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normd1cur = d1cur.Magnitude();
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unsurnormd1cur = 1./normd1cur;
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nplan = unsurnormd1cur * d1cur;
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dnplan.SetLinearForm(-nplan.Dot(d2cur),nplan,d2cur);
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dnplan.Multiply(unsurnormd1cur);
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dtheD = - nplan.XYZ().Dot(d1cur.XYZ()) - dnplan.XYZ().Dot(ptcur.XYZ());
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D(1,1) = dnplan.XYZ().Dot(point.XYZ()) + dtheD;
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D(1,2) = D(1,3) = 0.;
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surf->D2(X(2),X(3),pts,d1u,d1v,d2u,d2v,duv);
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D(2,1) = dnplan.XYZ().Dot(pts.XYZ()) + dtheD;
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D(2,2) = nplan.Dot(d1u);
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D(2,3) = nplan.Dot(d1v);
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gp_Vec nsurf = d1u.Crossed(d1v);
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gp_Vec dunsurf = d2u.Crossed(d1v).Added(d1u.Crossed(duv));
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gp_Vec dvnsurf = d1u.Crossed(d2v).Added(duv.Crossed(d1v));
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gp_Vec nplancrosnsurf = nplan.Crossed(nsurf);
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gp_Vec dwnplancrosnsurf = dnplan.Crossed(nsurf);
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gp_Vec dunplancrosnsurf = nplan.Crossed(dunsurf);
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gp_Vec dvnplancrosnsurf = nplan.Crossed(dvnsurf);
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Standard_Real norm2 = nplancrosnsurf.SquareMagnitude();
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Standard_Real norm = sqrt(norm2);
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Standard_Real unsurnorm = 1./norm;
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Standard_Real raysurnorm = ray*unsurnorm;
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Standard_Real unsurnorm2 = unsurnorm * unsurnorm;
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Standard_Real raysurnorm2 = ray*unsurnorm2;
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Standard_Real dwnorm = unsurnorm*nplancrosnsurf.Dot(dwnplancrosnsurf);
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Standard_Real dunorm = unsurnorm*nplancrosnsurf.Dot(dunplancrosnsurf);
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Standard_Real dvnorm = unsurnorm*nplancrosnsurf.Dot(dvnplancrosnsurf);
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Standard_Real nplandotnsurf = nplan.Dot(nsurf);
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Standard_Real dwnplandotnsurf = dnplan.Dot(nsurf);
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Standard_Real dunplandotnsurf = nplan.Dot(dunsurf);
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Standard_Real dvnplandotnsurf = nplan.Dot(dvnsurf);
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gp_Vec temp,dwtemp,dutemp,dvtemp;
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temp.SetLinearForm(nplandotnsurf,nplan,-1.,nsurf);
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dwtemp.SetLinearForm(nplandotnsurf,dnplan,dwnplandotnsurf,nplan);
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dutemp.SetLinearForm(dunplandotnsurf,nplan,-1.,dunsurf);
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dvtemp.SetLinearForm(dvnplandotnsurf,nplan,-1.,dvnsurf);
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gp_Vec ref,dwref,duref,dvref,corde(point,pts);
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ref.SetLinearForm(raysurnorm,temp,corde);
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dwref.SetLinearForm(raysurnorm,dwtemp,-raysurnorm2*dwnorm,temp);
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dwref.SetLinearForm(1.,dwref,dray*unsurnorm,temp);
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duref.SetLinearForm(raysurnorm,dutemp,-raysurnorm2*dunorm,temp,d1u);
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dvref.SetLinearForm(raysurnorm,dvtemp,-raysurnorm2*dvnorm,temp,d1v);
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ref.Add(ref);
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D(3,1) = ref.Dot(dwref) - 2.*dray*ray;
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D(3,2) = ref.Dot(duref);
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D(3,3) = ref.Dot(dvref);
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return Standard_True;
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}
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//=======================================================================
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//function :
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//purpose :
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//=======================================================================
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Standard_Boolean BRepBlend_SurfPointEvolRadInv::Values(const math_Vector& X,math_Vector& F,math_Matrix& D)
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{
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gp_Pnt ptcur,pts;
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gp_Vec d1cur,d2cur,nplan,dnplan,d1u,d1v,d2u,d2v,duv;
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Standard_Real theD, dtheD, normd1cur, unsurnormd1cur,dray;
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curv->D2(X(1),ptcur,d1cur,d2cur);
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tevol->D1(X(1),ray,dray);
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ray=sg1*ray;
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dray=sg1*dray;
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surf->D2(X(2),X(3),pts,d1u,d1v,d2u,d2v,duv);
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normd1cur = d1cur.Magnitude();
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unsurnormd1cur = 1./normd1cur;
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nplan = unsurnormd1cur * d1cur;
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theD = -(nplan.XYZ().Dot(ptcur.XYZ()));
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F(1) = nplan.XYZ().Dot(point.XYZ()) + theD;
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F(2) = nplan.XYZ().Dot(pts.XYZ()) + theD;
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dnplan.SetLinearForm(-nplan.Dot(d2cur),nplan,d2cur);
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dnplan.Multiply(unsurnormd1cur);
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dtheD = - nplan.XYZ().Dot(d1cur.XYZ()) - dnplan.XYZ().Dot(ptcur.XYZ());
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D(1,1) = dnplan.XYZ().Dot(point.XYZ()) + dtheD;
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D(1,2) = D(1,3) = 0.;
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D(2,1) = dnplan.XYZ().Dot(pts.XYZ()) + dtheD;
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D(2,2) = nplan.Dot(d1u);
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D(2,3) = nplan.Dot(d1v);
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gp_Vec nsurf = d1u.Crossed(d1v);
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gp_Vec dunsurf = d2u.Crossed(d1v).Added(d1u.Crossed(duv));
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gp_Vec dvnsurf = d1u.Crossed(d2v).Added(duv.Crossed(d1v));
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gp_Vec nplancrosnsurf = nplan.Crossed(nsurf);
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gp_Vec dwnplancrosnsurf = dnplan.Crossed(nsurf);
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gp_Vec dunplancrosnsurf = nplan.Crossed(dunsurf);
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gp_Vec dvnplancrosnsurf = nplan.Crossed(dvnsurf);
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Standard_Real norm2 = nplancrosnsurf.SquareMagnitude();
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Standard_Real norm = sqrt(norm2);
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Standard_Real unsurnorm = 1./norm;
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Standard_Real raysurnorm = ray*unsurnorm;
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Standard_Real unsurnorm2 = unsurnorm * unsurnorm;
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Standard_Real raysurnorm2 = ray*unsurnorm2;
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Standard_Real dwnorm = unsurnorm*nplancrosnsurf.Dot(dwnplancrosnsurf);
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Standard_Real dunorm = unsurnorm*nplancrosnsurf.Dot(dunplancrosnsurf);
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Standard_Real dvnorm = unsurnorm*nplancrosnsurf.Dot(dvnplancrosnsurf);
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Standard_Real nplandotnsurf = nplan.Dot(nsurf);
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Standard_Real dwnplandotnsurf = dnplan.Dot(nsurf);
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Standard_Real dunplandotnsurf = nplan.Dot(dunsurf);
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Standard_Real dvnplandotnsurf = nplan.Dot(dvnsurf);
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gp_Vec temp,dwtemp,dutemp,dvtemp;
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temp.SetLinearForm(nplandotnsurf,nplan,-1.,nsurf);
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dwtemp.SetLinearForm(nplandotnsurf,dnplan,dwnplandotnsurf,nplan);
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dutemp.SetLinearForm(dunplandotnsurf,nplan,-1.,dunsurf);
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dvtemp.SetLinearForm(dvnplandotnsurf,nplan,-1.,dvnsurf);
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gp_Vec ref,dwref,duref,dvref,corde(point,pts);
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ref.SetLinearForm(raysurnorm,temp,corde);
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F(3) = ref.SquareMagnitude() - ray*ray;
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dwref.SetLinearForm(raysurnorm,dwtemp,-raysurnorm2*dwnorm,temp);
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dwref.SetLinearForm(1.,dwref,dray*unsurnorm,temp);
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duref.SetLinearForm(raysurnorm,dutemp,-raysurnorm2*dunorm,temp,d1u);
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dvref.SetLinearForm(raysurnorm,dvtemp,-raysurnorm2*dvnorm,temp,d1v);
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ref.Add(ref);
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D(3,1) = ref.Dot(dwref) - 2.*dray*ray;
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D(3,2) = ref.Dot(duref);
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D(3,3) = ref.Dot(dvref);
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return Standard_True;
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}
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//=======================================================================
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//function :
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//purpose :
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//=======================================================================
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void BRepBlend_SurfPointEvolRadInv::Set(const gp_Pnt& P)
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{
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point = P;
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}
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//=======================================================================
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//function :
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//purpose :
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//=======================================================================
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void BRepBlend_SurfPointEvolRadInv::GetTolerance(math_Vector& Tolerance,const Standard_Real Tol) const
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{
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Tolerance(1) = curv->Resolution(Tol);
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Tolerance(2) = surf->UResolution(Tol);
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Tolerance(3) = surf->VResolution(Tol);
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}
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//=======================================================================
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//function :
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//purpose :
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//=======================================================================
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void BRepBlend_SurfPointEvolRadInv::GetBounds(math_Vector& InfBound,math_Vector& SupBound) const
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{
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InfBound(1) = curv->FirstParameter();
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SupBound(1) = curv->LastParameter();
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InfBound(2) = surf->FirstUParameter();
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SupBound(2) = surf->LastUParameter();
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InfBound(3) = surf->FirstVParameter();
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SupBound(3) = surf->LastVParameter();
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}
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//=======================================================================
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//function :
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//purpose :
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//=======================================================================
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Standard_Boolean BRepBlend_SurfPointEvolRadInv::IsSolution(const math_Vector& Sol,const Standard_Real Tol)
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{
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math_Vector valsol(1,3);
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Value(Sol,valsol);
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if (Abs(valsol(1)) <= Tol &&
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Abs(valsol(2)) <= Tol &&
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Abs(valsol(3)) <= 2*Tol*Abs(ray) ) {
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return Standard_True;
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}
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return Standard_False;
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}
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