--- /dev/null
+// File: Approx_CurvilinearParameter.cxx
+// Created: Fri Aug 22 09:11:03 1997
+// Author: Sergey SOKOLOV
+// <ssv@nonox.nnov.matra-dtv.fr>
+
+#include <Approx_CurvilinearParameter.ixx>
+
+#include <Adaptor3d_Curve.hxx>
+#include <GCPnts_AbscissaPoint.hxx>
+#include <gp_Pnt.hxx>
+#include <gp_Pnt2d.hxx>
+#include <gp_Vec.hxx>
+#include <gp_Vec2d.hxx>
+#include <GeomAbs_Shape.hxx>
+#include <AdvApprox_ApproxAFunction.hxx>
+#include <Geom_BSplineCurve.hxx>
+#include <TColStd_HArray1OfReal.hxx>
+#include <TColStd_HArray1OfInteger.hxx>
+#include <TColgp_Array1OfPnt.hxx>
+#include <GeomAdaptor_HCurve.hxx>
+#include <GeomAdaptor_HSurface.hxx>
+#include <TColStd_Array1OfReal.hxx>
+#include <AdvApprox_PrefAndRec.hxx>
+#include <Adaptor3d_CurveOnSurface.hxx>
+#include <Precision.hxx>
+#include <Geom2d_BSplineCurve.hxx>
+#include <TColgp_Array1OfPnt2d.hxx>
+#include <math_Vector.hxx>
+#include <CPnts_AbscissaPoint.hxx>
+#include <Approx_CurvlinFunc.hxx>
+
+#ifdef DEB
+#include <OSD_Timer.hxx>
+static OSD_Chronometer chr_total, chr_init, chr_approx;
+
+Standard_Real t_total, t_init, t_approx;
+void InitChron(OSD_Chronometer& ch)
+{
+ ch.Reset();
+ ch.Start();
+}
+
+void ResultChron( OSD_Chronometer & ch, Standard_Real & time)
+{
+ Standard_Real tch ;
+ ch.Stop();
+ ch.Show(tch);
+ time=time +tch;
+}
+
+Standard_IMPORT Standard_Integer uparam_count;
+Standard_IMPORT Standard_Real t_uparam;
+#endif
+
+//=======================================================================
+//class : Approx_CurvilinearParameter_EvalCurv
+//purpose : case of a free 3D curve
+//=======================================================================
+
+class Approx_CurvilinearParameter_EvalCurv : public AdvApprox_EvaluatorFunction
+{
+ public:
+ Approx_CurvilinearParameter_EvalCurv (const Handle(Approx_CurvlinFunc)& theFunc,
+ Standard_Real First, Standard_Real Last)
+ : fonct(theFunc) { StartEndSav[0] = First; StartEndSav[1] = Last; }
+
+ virtual void Evaluate (Standard_Integer *Dimension,
+ Standard_Real StartEnd[2],
+ Standard_Real *Parameter,
+ Standard_Integer *DerivativeRequest,
+ Standard_Real *Result, // [Dimension]
+ Standard_Integer *ErrorCode);
+
+ private:
+ Handle(Approx_CurvlinFunc) fonct;
+ Standard_Real StartEndSav[2];
+};
+
+void Approx_CurvilinearParameter_EvalCurv::Evaluate (Standard_Integer * Dimension,
+ Standard_Real * StartEnd,
+ Standard_Real * Param,
+ Standard_Integer * Order,
+ Standard_Real * Result,
+ Standard_Integer * ErrorCode)
+{
+ *ErrorCode = 0;
+ Standard_Real S = *Param;
+ TColStd_Array1OfReal Res(0, 2);
+ Standard_Integer i;
+
+// Dimension is incorrect
+ if (*Dimension != 3) {
+ *ErrorCode = 1;
+ }
+// Parameter is incorrect
+ if ( S < StartEnd[0] || S > StartEnd[1] ) {
+ *ErrorCode = 2;
+ }
+
+ if(StartEnd[0] != StartEndSav[0] || StartEnd[1]!= StartEndSav[1])
+ {
+ fonct->Trim(StartEnd[0],StartEnd[1], Precision::Confusion());
+ StartEndSav[0]=StartEnd[0];
+ StartEndSav[1]=StartEnd[1];
+ }
+
+ if(!fonct->EvalCase1(S, *Order, Res)) {
+ *ErrorCode = 3;
+ }
+
+ for(i = 0; i <= 2; i++)
+ Result[i] = Res(i);
+}
+
+Approx_CurvilinearParameter::Approx_CurvilinearParameter(const Handle(Adaptor3d_HCurve)& C3D,
+ const Standard_Real Tol,
+ const GeomAbs_Shape Order,
+ const Standard_Integer MaxDegree,
+ const Standard_Integer MaxSegments)
+{
+#ifdef DEB
+ t_total = t_init = t_approx = t_uparam = 0;
+ uparam_count = 0;
+ InitChron(chr_total);
+#endif
+ myCase = 1;
+// Initialisation of input parameters of AdvApprox
+
+ Standard_Integer Num1DSS=0, Num2DSS=0, Num3DSS=1;
+ Handle(TColStd_HArray1OfReal) OneDTolNul, TwoDTolNul;
+ Handle(TColStd_HArray1OfReal) ThreeDTol = new TColStd_HArray1OfReal(1,Num3DSS);
+ ThreeDTol->Init(Tol);
+
+#ifdef DEB
+ InitChron(chr_init);
+#endif
+ Handle(Approx_CurvlinFunc) fonct = new Approx_CurvlinFunc(C3D, Tol/10);
+#ifdef DEB
+ ResultChron(chr_init, t_init);
+#endif
+
+ Standard_Real FirstS = fonct->FirstParameter();
+ Standard_Real LastS = fonct->LastParameter();
+
+ Standard_Integer NbInterv_C2 = fonct->NbIntervals(GeomAbs_C2);
+ TColStd_Array1OfReal CutPnts_C2(1, NbInterv_C2+1);
+ fonct->Intervals(CutPnts_C2,GeomAbs_C2);
+ Standard_Integer NbInterv_C3 = fonct->NbIntervals(GeomAbs_C3);
+ TColStd_Array1OfReal CutPnts_C3(1, NbInterv_C3+1);
+ fonct->Intervals(CutPnts_C3,GeomAbs_C3);
+ AdvApprox_PrefAndRec CutTool(CutPnts_C2,CutPnts_C3);
+
+#ifdef DEB
+ InitChron(chr_approx);
+#endif
+
+ Approx_CurvilinearParameter_EvalCurv evC (fonct, FirstS, LastS);
+ AdvApprox_ApproxAFunction aApprox (Num1DSS, Num2DSS, Num3DSS,
+ OneDTolNul, TwoDTolNul, ThreeDTol,
+ FirstS, LastS, Order,
+ MaxDegree, MaxSegments,
+ evC, CutTool);
+
+#ifdef DEB
+ ResultChron(chr_approx, t_approx);
+#endif
+
+ myDone = aApprox.IsDone();
+ myHasResult = aApprox.HasResult();
+
+ if (myHasResult) {
+ TColgp_Array1OfPnt Poles(1,aApprox.NbPoles());
+ aApprox.Poles(1,Poles);
+ Handle(TColStd_HArray1OfReal) Knots = aApprox.Knots();
+ Handle(TColStd_HArray1OfInteger) Mults = aApprox.Multiplicities();
+ Standard_Integer Degree = aApprox.Degree();
+ myCurve3d = new Geom_BSplineCurve(Poles, Knots->Array1(), Mults->Array1(), Degree);
+ }
+ myMaxError3d = aApprox.MaxError(3,1);
+
+#ifdef DEB
+ ResultChron(chr_total, t_total);
+
+ cout<<" total reparametrization time = "<<t_total<<endl;
+ cout<<"initialization time = "<<t_init<<endl;
+ cout<<"approximation time = "<<t_approx<<endl;
+ cout<<"total time for uparam computation = "<<t_uparam<<endl;
+ cout<<"number uparam calles = "<<uparam_count<<endl;
+#endif
+}
+
+//=======================================================================
+//class : Approx_CurvilinearParameter_EvalCurvOnSurf
+//purpose : case of a curve on one surface
+//=======================================================================
+
+class Approx_CurvilinearParameter_EvalCurvOnSurf : public AdvApprox_EvaluatorFunction
+{
+ public:
+ Approx_CurvilinearParameter_EvalCurvOnSurf (const Handle(Approx_CurvlinFunc)& theFunc,
+ Standard_Real First, Standard_Real Last)
+ : fonct(theFunc) { StartEndSav[0] = First; StartEndSav[1] = Last; }
+
+ virtual void Evaluate (Standard_Integer *Dimension,
+ Standard_Real StartEnd[2],
+ Standard_Real *Parameter,
+ Standard_Integer *DerivativeRequest,
+ Standard_Real *Result, // [Dimension]
+ Standard_Integer *ErrorCode);
+
+ private:
+ Handle(Approx_CurvlinFunc) fonct;
+ Standard_Real StartEndSav[2];
+};
+
+void Approx_CurvilinearParameter_EvalCurvOnSurf::Evaluate (Standard_Integer * Dimension,
+ Standard_Real * StartEnd,
+ Standard_Real * Param,
+ Standard_Integer * Order,
+ Standard_Real * Result,
+ Standard_Integer * ErrorCode)
+{
+ *ErrorCode = 0;
+ Standard_Real S = *Param;
+ TColStd_Array1OfReal Res(0, 4);
+ Standard_Integer i;
+
+// Dimension is incorrect
+ if (*Dimension != 5) {
+ *ErrorCode = 1;
+ }
+// Parameter is incorrect
+ if ( S < StartEnd[0] || S > StartEnd[1] ) {
+ *ErrorCode = 2;
+ }
+
+ if(StartEnd[0] != StartEndSav[0] || StartEnd[1]!= StartEndSav[1])
+ {
+ fonct->Trim(StartEnd[0],StartEnd[1], Precision::Confusion());
+ StartEndSav[0]=StartEnd[0];
+ StartEndSav[1]=StartEnd[1];
+ }
+
+ if(!fonct->EvalCase2(S, *Order, Res)) {
+ *ErrorCode = 3;
+ }
+
+ for(i = 0; i <= 4; i++)
+ Result[i] = Res(i);
+}
+
+Approx_CurvilinearParameter::Approx_CurvilinearParameter(const Handle(Adaptor2d_HCurve2d)& C2D,
+ const Handle(Adaptor3d_HSurface)& Surf,
+ const Standard_Real Tol,
+ const GeomAbs_Shape Order,
+ const Standard_Integer MaxDegree,
+ const Standard_Integer MaxSegments)
+{
+#ifdef DEB
+ t_total = t_init = t_approx = t_uparam = 0;
+ uparam_count = 0;
+ InitChron(chr_total);
+#endif
+ myCase = 2;
+
+ // Initialisation of input parameters of AdvApprox
+
+ Standard_Integer Num1DSS=2, Num2DSS=0, Num3DSS=1, i;
+
+ Handle(TColStd_HArray1OfReal) OneDTol = new TColStd_HArray1OfReal(1,Num1DSS);
+ Standard_Real TolV,TolW;
+
+ ToleranceComputation(C2D,Surf,10,Tol,TolV,TolW);
+ OneDTol->SetValue(1,TolV);
+ OneDTol->SetValue(2,TolW);
+
+ OneDTol->SetValue(1,Tol);
+ OneDTol->SetValue(2,Tol);
+
+ Handle(TColStd_HArray1OfReal) TwoDTolNul;
+ Handle(TColStd_HArray1OfReal) ThreeDTol = new TColStd_HArray1OfReal(1,Num3DSS);
+ ThreeDTol->Init(Tol/2.);
+
+#ifdef DEB
+ InitChron(chr_init);
+#endif
+ Handle(Approx_CurvlinFunc) fonct = new Approx_CurvlinFunc(C2D, Surf, Tol/20);
+#ifdef DEB
+ ResultChron(chr_init, t_init);
+#endif
+
+ Standard_Real FirstS = fonct->FirstParameter();
+ Standard_Real LastS = fonct->LastParameter();
+
+ Standard_Integer NbInterv_C2 = fonct->NbIntervals(GeomAbs_C2);
+ TColStd_Array1OfReal CutPnts_C2(1, NbInterv_C2+1);
+ fonct->Intervals(CutPnts_C2,GeomAbs_C2);
+ Standard_Integer NbInterv_C3 = fonct->NbIntervals(GeomAbs_C3);
+ TColStd_Array1OfReal CutPnts_C3(1, NbInterv_C3+1);
+ fonct->Intervals(CutPnts_C3,GeomAbs_C3);
+ AdvApprox_PrefAndRec CutTool(CutPnts_C2,CutPnts_C3);
+
+#ifdef DEB
+ InitChron(chr_approx);
+#endif
+
+ Approx_CurvilinearParameter_EvalCurvOnSurf evCOnS (fonct, FirstS, LastS);
+ AdvApprox_ApproxAFunction aApprox (Num1DSS, Num2DSS, Num3DSS,
+ OneDTol, TwoDTolNul, ThreeDTol,
+ FirstS, LastS, Order,
+ MaxDegree, MaxSegments,
+ evCOnS, CutTool);
+
+#ifdef DEB
+ ResultChron(chr_approx, t_approx);
+#endif
+
+ myDone = aApprox.IsDone();
+ myHasResult = aApprox.HasResult();
+
+ if (myHasResult) {
+ Standard_Integer NbPoles = aApprox.NbPoles();
+ TColgp_Array1OfPnt Poles (1,NbPoles);
+ TColgp_Array1OfPnt2d Poles2d(1,NbPoles);
+ TColStd_Array1OfReal Poles1d(1,NbPoles);
+ aApprox.Poles(1,Poles);
+ aApprox.Poles1d(1,Poles1d);
+ for (i=1; i<=NbPoles; i++)
+ Poles2d(i).SetX(Poles1d(i));
+ aApprox.Poles1d(2,Poles1d);
+ for (i=1; i<=NbPoles; i++)
+ Poles2d(i).SetY(Poles1d(i));
+ Handle(TColStd_HArray1OfReal) Knots = aApprox.Knots();
+ Handle(TColStd_HArray1OfInteger) Mults = aApprox.Multiplicities();
+ Standard_Integer Degree = aApprox.Degree();
+ myCurve3d = new Geom_BSplineCurve(Poles, Knots->Array1(), Mults->Array1(), Degree);
+ myCurve2d1 = new Geom2d_BSplineCurve(Poles2d, Knots->Array1(), Mults->Array1(), Degree);
+ }
+ myMaxError2d1 = Max (aApprox.MaxError(1,1),aApprox.MaxError(1,2));
+ myMaxError3d = aApprox.MaxError(3,1);
+
+#ifdef DEB
+ ResultChron(chr_total, t_total);
+
+ cout<<" total reparametrization time = "<<t_total<<endl;
+ cout<<"initialization time = "<<t_init<<endl;
+ cout<<"approximation time = "<<t_approx<<endl;
+ cout<<"total time for uparam computation = "<<t_uparam<<endl;
+ cout<<"number uparam calles = "<<uparam_count<<endl;
+#endif
+}
+
+//=======================================================================
+//function : Approx_CurvilinearParameter_EvalCurvOn2Surf
+//purpose : case of a curve on two surfaces
+//=======================================================================
+
+class Approx_CurvilinearParameter_EvalCurvOn2Surf : public AdvApprox_EvaluatorFunction
+{
+ public:
+ Approx_CurvilinearParameter_EvalCurvOn2Surf (const Handle(Approx_CurvlinFunc)& theFunc,
+ Standard_Real First, Standard_Real Last)
+ : fonct(theFunc) { StartEndSav[0] = First; StartEndSav[1] = Last; }
+
+ virtual void Evaluate (Standard_Integer *Dimension,
+ Standard_Real StartEnd[2],
+ Standard_Real *Parameter,
+ Standard_Integer *DerivativeRequest,
+ Standard_Real *Result, // [Dimension]
+ Standard_Integer *ErrorCode);
+
+ private:
+ Handle(Approx_CurvlinFunc) fonct;
+ Standard_Real StartEndSav[2];
+};
+
+void Approx_CurvilinearParameter_EvalCurvOn2Surf::Evaluate (Standard_Integer * Dimension,
+ Standard_Real * StartEnd,
+ Standard_Real * Param,
+ Standard_Integer * Order,
+ Standard_Real * Result,
+ Standard_Integer * ErrorCode)
+{
+ *ErrorCode = 0;
+ Standard_Real S = *Param;
+ TColStd_Array1OfReal Res(0, 6);
+ Standard_Integer i;
+
+// Dimension is incorrect
+ if (*Dimension != 7) {
+ *ErrorCode = 1;
+ }
+// Parameter is incorrect
+ if ( S < StartEnd[0] || S > StartEnd[1] ) {
+ *ErrorCode = 2;
+ }
+
+/* if(StartEnd[0] != StartEndSav[0] || StartEnd[1]!= StartEndSav[1])
+ {
+ fonct->Trim(StartEnd[0],StartEnd[1], Precision::Confusion());
+ StartEndSav[0]=StartEnd[0];
+ StartEndSav[1]=StartEnd[1];
+ }
+*/
+ if(!fonct->EvalCase3(S, *Order, Res)) {
+ *ErrorCode = 3;
+ }
+
+ for(i = 0; i <= 6; i++)
+ Result[i] = Res(i);
+}
+
+Approx_CurvilinearParameter::Approx_CurvilinearParameter(const Handle(Adaptor2d_HCurve2d)& C2D1,
+ const Handle(Adaptor3d_HSurface)& Surf1,
+ const Handle(Adaptor2d_HCurve2d)& C2D2,
+ const Handle(Adaptor3d_HSurface)& Surf2,
+ const Standard_Real Tol,
+ const GeomAbs_Shape Order,
+ const Standard_Integer MaxDegree,
+ const Standard_Integer MaxSegments)
+{
+ Standard_Integer i;
+
+#ifdef DEB
+ t_total = t_init = t_approx = t_uparam = 0;
+ uparam_count = 0;
+ InitChron(chr_total);
+#endif
+ myCase = 3;
+
+ // Initialisation of input parameters of AdvApprox
+
+ Standard_Integer Num1DSS=4, Num2DSS=0, Num3DSS=1;
+ Handle(TColStd_HArray1OfReal) OneDTol = new TColStd_HArray1OfReal(1,Num1DSS);
+
+ Standard_Real TolV,TolW;
+ ToleranceComputation(C2D1,Surf1,10,Tol,TolV,TolW);
+ OneDTol->SetValue(1,TolV);
+ OneDTol->SetValue(2,TolW);
+
+ ToleranceComputation(C2D2,Surf2,10,Tol,TolV,TolW);
+ OneDTol->SetValue(3,TolV);
+ OneDTol->SetValue(4,TolW);
+
+ Handle(TColStd_HArray1OfReal) TwoDTolNul;
+ Handle(TColStd_HArray1OfReal) ThreeDTol = new TColStd_HArray1OfReal(1,Num3DSS);
+ ThreeDTol->Init(Tol/2);
+
+#ifdef DEB
+ InitChron(chr_init);
+#endif
+ Handle(Approx_CurvlinFunc) fonct = new Approx_CurvlinFunc(C2D1, C2D2, Surf1, Surf2, Tol/20);
+#ifdef DEB
+ ResultChron(chr_init, t_init);
+#endif
+
+ Standard_Real FirstS = fonct->FirstParameter();
+ Standard_Real LastS = fonct->LastParameter();
+
+ Standard_Integer NbInterv_C2 = fonct->NbIntervals(GeomAbs_C2);
+ TColStd_Array1OfReal CutPnts_C2(1, NbInterv_C2+1);
+ fonct->Intervals(CutPnts_C2,GeomAbs_C2);
+ Standard_Integer NbInterv_C3 = fonct->NbIntervals(GeomAbs_C3);
+ TColStd_Array1OfReal CutPnts_C3(1, NbInterv_C3+1);
+ fonct->Intervals(CutPnts_C3,GeomAbs_C3);
+ AdvApprox_PrefAndRec CutTool(CutPnts_C2,CutPnts_C3);
+
+#ifdef DEB
+ InitChron(chr_approx);
+#endif
+
+ Approx_CurvilinearParameter_EvalCurvOn2Surf evCOn2S (fonct, FirstS, LastS);
+ AdvApprox_ApproxAFunction aApprox (Num1DSS, Num2DSS, Num3DSS,
+ OneDTol, TwoDTolNul, ThreeDTol,
+ FirstS, LastS, Order,
+ MaxDegree, MaxSegments,
+ evCOn2S, CutTool);
+
+#ifdef DEB
+ ResultChron(chr_approx, t_approx);
+#endif
+
+ myDone = aApprox.IsDone();
+ myHasResult = aApprox.HasResult();
+
+ if (myHasResult) {
+ Standard_Integer NbPoles = aApprox.NbPoles();
+ TColgp_Array1OfPnt Poles (1,NbPoles);
+ TColgp_Array1OfPnt2d Poles2d(1,NbPoles);
+ TColStd_Array1OfReal Poles1d(1,NbPoles);
+ aApprox.Poles(1,Poles);
+ aApprox.Poles1d(1,Poles1d);
+ for (i=1; i<=NbPoles; i++)
+ Poles2d(i).SetX(Poles1d(i));
+ aApprox.Poles1d(2,Poles1d);
+ for (i=1; i<=NbPoles; i++)
+ Poles2d(i).SetY(Poles1d(i));
+ Handle(TColStd_HArray1OfReal) Knots = aApprox.Knots();
+ Handle(TColStd_HArray1OfInteger) Mults = aApprox.Multiplicities();
+ Standard_Integer Degree = aApprox.Degree();
+ myCurve3d = new Geom_BSplineCurve(Poles, Knots->Array1(), Mults->Array1(), Degree);
+ myCurve2d1 = new Geom2d_BSplineCurve(Poles2d, Knots->Array1(), Mults->Array1(), Degree);
+ aApprox.Poles1d(3,Poles1d);
+ for (i=1; i<=NbPoles; i++)
+ Poles2d(i).SetX(Poles1d(i));
+ aApprox.Poles1d(4,Poles1d);
+ for (i=1; i<=NbPoles; i++)
+ Poles2d(i).SetY(Poles1d(i));
+ myCurve2d2 = new Geom2d_BSplineCurve(Poles2d, Knots->Array1(), Mults->Array1(), Degree);
+ }
+ myMaxError2d1 = Max (aApprox.MaxError(1,1),aApprox.MaxError(1,2));
+ myMaxError2d2 = Max (aApprox.MaxError(1,3),aApprox.MaxError(1,4));
+ myMaxError3d = aApprox.MaxError(3,1);
+
+#ifdef DEB
+ ResultChron(chr_total, t_total);
+
+ cout<<" total reparametrization time = "<<t_total<<endl;
+ cout<<"initialization time = "<<t_init<<endl;
+ cout<<"approximation time = "<<t_approx<<endl;
+ cout<<"total time for uparam computation = "<<t_uparam<<endl;
+ cout<<"number uparam calles = "<<uparam_count<<endl;
+#endif
+}
+
+//=======================================================================
+//function : IsDone
+//purpose :
+//=======================================================================
+
+ Standard_Boolean Approx_CurvilinearParameter::IsDone() const
+{
+ return myDone;
+}
+
+//=======================================================================
+//function : HasResult
+//purpose :
+//=======================================================================
+
+ Standard_Boolean Approx_CurvilinearParameter::HasResult() const
+{
+ return myHasResult;
+}
+
+//=======================================================================
+//function : Curve3d
+//purpose : returns the Bspline curve corresponding to the reparametrized 3D curve
+//=======================================================================
+
+ Handle(Geom_BSplineCurve) Approx_CurvilinearParameter::Curve3d() const
+{
+ return myCurve3d;
+}
+
+//=======================================================================
+//function : MaxError3d
+//purpose : returns the maximum error on the reparametrized 3D curve
+//=======================================================================
+
+ Standard_Real Approx_CurvilinearParameter::MaxError3d() const
+{
+ return myMaxError3d;
+}
+
+//=======================================================================
+//function : Curve2d1
+//purpose : returns the BsplineCurve representing the reparametrized 2D curve on the
+// first surface (case of a curve on one or two surfaces)
+//=======================================================================
+
+ Handle(Geom2d_BSplineCurve) Approx_CurvilinearParameter::Curve2d1() const
+{
+ return myCurve2d1;
+}
+
+//=======================================================================
+//function : MaxError2d1
+//purpose : returns the maximum error on the first reparametrized 2D curve
+//=======================================================================
+
+ Standard_Real Approx_CurvilinearParameter::MaxError2d1() const
+{
+ return myMaxError2d1;
+}
+
+//=======================================================================
+//function : Curve2d2
+//purpose : returns the BsplineCurve representing the reparametrized 2D curve on the
+// second surface (case of a curve on two surfaces)
+//=======================================================================
+
+ Handle(Geom2d_BSplineCurve) Approx_CurvilinearParameter::Curve2d2() const
+{
+ return myCurve2d2;
+}
+
+//=======================================================================
+//function : MaxError2d2
+//purpose : returns the maximum error on the second reparametrized 2D curve
+//=======================================================================
+
+ Standard_Real Approx_CurvilinearParameter::MaxError2d2() const
+{
+ return myMaxError2d2;
+}
+
+//=======================================================================
+//function : Dump
+//purpose : print the maximum errors(s)
+//=======================================================================
+
+void Approx_CurvilinearParameter::Dump(Standard_OStream& o) const
+{
+ o << "Dump of Approx_CurvilinearParameter" << endl;
+ if (myCase==2 || myCase==3)
+ o << "myMaxError2d1 = " << myMaxError2d1 << endl;
+ if (myCase==3)
+ o << "myMaxError2d2 = " << myMaxError2d2 << endl;
+ o << "myMaxError3d = " << myMaxError3d << endl;
+}
+
+//=======================================================================
+//function : ToleranceComputation
+//purpose :
+//=======================================================================
+
+void Approx_CurvilinearParameter::ToleranceComputation(const Handle(Adaptor2d_HCurve2d) &C2D,
+ const Handle(Adaptor3d_HSurface) &S,
+ const Standard_Integer MaxNumber,
+ const Standard_Real Tol,
+ Standard_Real &TolV, Standard_Real &TolW)
+{
+ Standard_Real FirstU = C2D->FirstParameter(),
+ LastU = C2D->LastParameter();
+// Standard_Real parU, Max_dS_dv=1.,Max_dS_dw=1.;
+ Standard_Real Max_dS_dv=1.,Max_dS_dw=1.;
+ gp_Pnt P;
+ gp_Pnt2d pntVW;
+ gp_Vec dS_dv,dS_dw;
+
+ for (Standard_Integer i=1; i<=MaxNumber; i++) {
+ pntVW = C2D->Value(FirstU + (i-1)*(LastU-FirstU)/(MaxNumber-1));
+ S->D1(pntVW.X(),pntVW.Y(),P,dS_dv,dS_dw);
+ Max_dS_dv = Max (Max_dS_dv, dS_dv.Magnitude());
+ Max_dS_dw = Max (Max_dS_dw, dS_dw.Magnitude());
+ }
+ TolV = Tol / (4.*Max_dS_dv);
+ TolW = Tol / (4.*Max_dS_dw);
+
+#ifdef DEB
+ cout << "TolV = " << TolV << endl;
+ cout << "TolW = " << TolW << endl;
+#endif
+}