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//File Convert_HyperbolaToBSplineCurve.cxx
//JCV 16/10/91
#include <Convert_HyperbolaToBSplineCurve.ixx>
#include <TColgp_HArray1OfPnt2d.hxx>
#include <TColStd_HArray1OfReal.hxx>
#include <TColStd_HArray1OfInteger.hxx>
#include <TColStd_Array1OfReal.hxx>
#include <TColgp_Array1OfPnt2d.hxx>
#include <gp.hxx>
#include <gp_Ax2d.hxx>
#include <gp_Dir2d.hxx>
#include <gp_Trsf2d.hxx>
static Standard_Integer TheDegree = 2;
static Standard_Integer MaxNbKnots = 2;
static Standard_Integer MaxNbPoles = 3;
//=======================================================================
//function : Convert_HyperbolaToBSplineCurve
//purpose :
//=======================================================================
Convert_HyperbolaToBSplineCurve::Convert_HyperbolaToBSplineCurve
(const gp_Hypr2d& H ,
const Standard_Real U1,
const Standard_Real U2 )
: Convert_ConicToBSplineCurve (MaxNbPoles, MaxNbKnots, TheDegree)
{
Standard_DomainError_Raise_if( Abs(U2 - U1) < Epsilon(0.),
"Convert_ParabolaToBSplineCurve");
Standard_Real UF = Min (U1, U2);
Standard_Real UL = Max( U1, U2);
nbPoles = 3;
nbKnots = 2;
isperiodic = Standard_False;
knots->ChangeArray1()(1) = UF; mults->ChangeArray1()(1) = 3;
knots->ChangeArray1()(2) = UL; mults->ChangeArray1()(2) = 3;
// construction de l hyperbole dans le repere de reference xOy.
Standard_Real R = H.MajorRadius();
Standard_Real r = H.MinorRadius();
gp_Dir2d Ox = H.Axis().XDirection();
gp_Dir2d Oy = H.Axis().YDirection();
Standard_Real S = ( Ox.X() * Oy.Y() - Ox.Y() * Oy.X() > 0.) ? 1 : -1;
// poles exprimes dans le repere de reference
// le 2eme pole est a l intersection des 2 tangentes a la courbe
// aux pointx P(UF), P(UL)
// le poids de ce pole est egal a : Cosh((UL-UF)/2)
weights->ChangeArray1()(1) = 1.;
weights->ChangeArray1()(2) = Cosh((UL-UF)/2);
weights->ChangeArray1()(3) = 1.;
Standard_Real delta = Sinh(UL-UF);
Standard_Real x = R * ( Sinh(UL) - Sinh(UF)) / delta;
Standard_Real y = S * r * ( Cosh(UL) - Cosh(UF)) / delta;
poles->ChangeArray1()(1) = gp_Pnt2d( R * Cosh(UF), S * r * Sinh(UF));
poles->ChangeArray1()(2) = gp_Pnt2d( x, y);
poles->ChangeArray1()(3) = gp_Pnt2d( R * Cosh(UL), S * r * Sinh(UL));
// on replace la bspline dans le repere de l hyperbole
gp_Trsf2d Trsf;
Trsf.SetTransformation( H.Axis().XAxis(), gp::OX2d());
poles->ChangeArray1()(1).Transform( Trsf);
poles->ChangeArray1()(2).Transform( Trsf);
poles->ChangeArray1()(3).Transform( Trsf);
}
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