// Copyright (c) 1995-1999 Matra Datavision
// Copyright (c) 1999-2012 OPEN CASCADE SAS
//
// The content of this file is subject to the Open CASCADE Technology Public
// License Version 6.5 (the "License"). You may not use the content of this file
// except in compliance with the License. Please obtain a copy of the License
// at http://www.opencascade.org and read it completely before using this file.
//
// The Initial Developer of the Original Code is Open CASCADE S.A.S., having its
// main offices at: 1, place des Freres Montgolfier, 78280 Guyancourt, France.
//
// The Original Code and all software distributed under the License is
// distributed on an "AS IS" basis, without warranty of any kind, and the
// Initial Developer hereby disclaims all such warranties, including without
// limitation, any warranties of merchantability, fitness for a particular
// purpose or non-infringement. Please see the License for the specific terms
// and conditions governing the rights and limitations under the License.

//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 of hyperbola in the 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 expressed in the reference mark
  // the 2nd pole is at the intersection of 2 tangents to the curve
  // at points P(UF), P(UL)
  // the weight of this pole is equal to : 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));

  // replace the bspline in the mark of the hyperbola
  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);
}