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// File: HLRBRep_EdgeFaceTool.cxx
// Created: Mon Oct 18 19:31:35 1993
// Author: Christophe MARION
// <cma@nonox>
#include <HLRBRep_EdgeFaceTool.ixx>
#include <HLRBRep_Curve.hxx>
#include <HLRBRep_Surface.hxx>
#include <BRepExtrema_ExtPF.hxx>
#include <BRepLib_MakeVertex.hxx>
#include <BRep_Tool.hxx>
#include <BRepAdaptor_Curve2d.hxx>
#include <TopoDS_Vertex.hxx>
#include <gp.hxx>
//=======================================================================
//function : CurvatureDirection
//purpose :
//=======================================================================
Standard_Real HLRBRep_EdgeFaceTool::CurvatureValue
( const Standard_Address F,
const Standard_Real U,
const Standard_Real V,
const gp_Dir& Tg)
{
gp_Pnt P;
gp_Vec D1U,D1V,D2U,D2V,D2UV;
((HLRBRep_Surface*)F)->D2(U,V,P,D1U,D1V,D2U,D2V,D2UV);
Standard_Real d1ut = D1U*Tg;
Standard_Real d1vt = D1V*Tg;
Standard_Real d1ud1v = D1U*D1V;
Standard_Real nmu2 = D1U*D1U;
Standard_Real nmv2 = D1V*D1V;
Standard_Real det = nmu2 * nmv2 - d1ud1v * d1ud1v;
Standard_Real alfa = ( d1ut * nmv2 - d1vt * d1ud1v ) / det;
Standard_Real beta = ( d1vt * nmu2 - d1ut * d1ud1v ) / det;
gp_Vec Nm = D1U ^ D1V;
if (Nm.Magnitude() > gp::Resolution()) {
Nm.Normalize();
Standard_Real alfa2 = alfa*alfa;
Standard_Real beta2 = beta*beta;
Standard_Real alfabeta = alfa*beta;
Standard_Real N = (Nm*D2U)*alfa2 + 2*(Nm*D2UV)*alfabeta + (Nm*D2V)*beta2;
Standard_Real D = nmu2 *alfa2 + 2*d1ud1v *alfabeta + nmv2 *beta2;
return N/D;
}
else
return 0;
}
//=======================================================================
//function : UVPoint
//purpose :
//=======================================================================
Standard_Boolean HLRBRep_EdgeFaceTool::UVPoint(const Standard_Real Par,
const Standard_Address E,
const Standard_Address F,
Standard_Real& U,
Standard_Real& V)
{
Standard_Real pfbid,plbid;
Standard_Boolean done = Standard_True;
if (BRep_Tool::CurveOnSurface
(((HLRBRep_Curve *)E)->Curve().Edge(),
((HLRBRep_Surface*)F)->Surface().Face(),pfbid,plbid).IsNull()) {
BRepExtrema_ExtPF proj
(BRepLib_MakeVertex(((HLRBRep_Curve*)E)->Value3D(Par)),
((HLRBRep_Surface*)F)->Surface().Face());
Standard_Integer index = 0;
Standard_Real dist2 = RealLast();
Standard_Real newdist2;
Standard_Integer n = proj.NbExt();
for (Standard_Integer i = 1; i <= n; i++) {
newdist2 = proj.SquareDistance(i);
if (newdist2 < dist2) {
dist2 = newdist2;
index = i;
}
}
if (index != 0)
proj.Parameter(index,U,V);
else
done = Standard_False;
}
else {
BRepAdaptor_Curve2d PC
(((HLRBRep_Curve *)E)->Curve().Edge(),
((HLRBRep_Surface*)F)->Surface().Face());
gp_Pnt2d P2d;
PC.D0(Par,P2d);
U = P2d.X();
V = P2d.Y();
}
return done;
}
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