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#include <StdFail_NotDone.hxx>
#include <Standard_DomainError.hxx>
#include <Standard_OutOfRange.hxx>
#include <Standard_ConstructionError.hxx>
#include <Standard_NotImplemented.hxx>
#include <GCPnts_DeflectionType.hxx>
#include <TColStd_Array1OfReal.hxx>
#include <TColStd_SequenceOfReal.hxx>
#include <BSplCLib.hxx>
#include <gp_Circ.hxx>
#include <gp_Circ2d.hxx>
#include <Precision.hxx>
static void QuasiFleche(const TheCurve&,
const Standard_Real,
const Standard_Real,
const gp_Pnt&,
const gp_Vec&,
const Standard_Real,
const gp_Pnt&,
const gp_Vec&,
const Standard_Integer,
const Standard_Real,
TColStd_SequenceOfReal&,
TColgp_SequenceOfPnt&);
static void QuasiFleche(const TheCurve&,
const Standard_Real,
const Standard_Real,
const gp_Pnt&,
const Standard_Real,
const gp_Pnt&,
const Standard_Integer,
TColStd_SequenceOfReal&,
TColgp_SequenceOfPnt&);
//=======================================================================
//function : PerformLinear
//purpose :
//=======================================================================
static Standard_Boolean PerformLinear (const TheCurve& C,
TColStd_SequenceOfReal& Parameters,
TColgp_SequenceOfPnt& Points,
const Standard_Real U1,
const Standard_Real U2)
{
gp_Pnt aPoint;
Parameters.Append (U1);
aPoint = Value (C, U1);
Points.Append (aPoint);
Parameters.Append (U2);
aPoint = Value (C, U2);
Points.Append (aPoint);
return Standard_True;
}
//=======================================================================
//function : PerformCircular
//purpose :
//=======================================================================
static Standard_Boolean PerformCircular (const TheCurve& C,
TColStd_SequenceOfReal& Parameters,
TColgp_SequenceOfPnt& Points,
const Standard_Real Deflection,
const Standard_Real U1,
const Standard_Real U2)
{
gp_Pnt aPoint;
Standard_Real Angle = Max (1.0e0 - (Deflection / C.Circle().Radius()), 0.0e0);
Angle = 2.0e0 * ACos (Angle);
Standard_Integer NbPoints = (Standard_Integer )((U2 - U1) / Angle);
NbPoints += 2;
Angle = (U2 - U1) / (Standard_Real) (NbPoints - 1);
Standard_Real U = U1;
for (Standard_Integer i = 1; i <= NbPoints; ++i)
{
Parameters.Append (U);
aPoint = Value (C,U);
Points.Append (aPoint);
U += Angle;
}
return Standard_True;
}
//=======================================================================
//function : GetDefType
//purpose :
//=======================================================================
static GCPnts_DeflectionType GetDefType (TheCurve& C)
{
if (C.NbIntervals(GeomAbs_C1) > 1)
return GCPnts_DefComposite;
// pour forcer les decoupages aux cassures. G1 devrait marcher,
// mais donne des exceptions...
switch (C.GetType())
{
case GeomAbs_Line: return GCPnts_Linear;
case GeomAbs_Circle: return GCPnts_Circular;
case GeomAbs_BSplineCurve:
{
Handle_TheBSplineCurve BS = C.BSpline();
return (BS->NbPoles() == 2) ? GCPnts_Linear : GCPnts_Curved;
}
case GeomAbs_BezierCurve:
{
Handle_TheBezierCurve BZ = C.Bezier();
return (BZ->NbPoles() == 2) ? GCPnts_Linear : GCPnts_Curved;
}
default: return GCPnts_Curved;
}
}
//=======================================================================
//function : PerformCurve
//purpose :
//=======================================================================
static Standard_Boolean PerformCurve (TColStd_SequenceOfReal& Parameters,
TColgp_SequenceOfPnt& Points,
const TheCurve& C,
const Standard_Real Deflection,
const Standard_Real U1,
const Standard_Real U2,
const Standard_Real EPSILON,
const GeomAbs_Shape Continuity)
{
Standard_Integer Nbmin = 21;
gp_Pnt Pdeb;
if (Continuity <= GeomAbs_G1)
{
Pdeb = Value (C, U1);
Parameters.Append (U1);
Points.Append (Pdeb);
gp_Pnt Pfin (Value (C, U2));
QuasiFleche (C, Deflection * Deflection,
U1, Pdeb,
U2, Pfin,
Nbmin,
Parameters, Points);
}
else
{
gp_Pnt Pfin;
gp_Vec Ddeb, Dfin;
D1 (C, U1, Pdeb, Ddeb);
Parameters.Append (U1);
Points.Append (Pdeb);
D1 (C, U2, Pfin, Dfin);
QuasiFleche (C, Deflection * Deflection,
U1, Pdeb,
Ddeb,
U2, Pfin,
Dfin,
Nbmin,
EPSILON * EPSILON,
Parameters, Points);
}
// cout << "Nb de pts: " << Points.Length()<< endl;
return Standard_True;
}
//=======================================================================
//function : PerformComposite
//purpose :
//=======================================================================
static Standard_Boolean PerformComposite (TColStd_SequenceOfReal& Parameters,
TColgp_SequenceOfPnt& Points,
TheCurve& C,
const Standard_Real Deflection,
const Standard_Real U1,
const Standard_Real U2,
const Standard_Real EPSILON,
const GeomAbs_Shape Continuity)
{
//
// coherence avec Intervals
//
Standard_Integer NbIntervals = C.NbIntervals (GeomAbs_C2);
Standard_Integer PIndex;
TColStd_Array1OfReal TI (1, NbIntervals + 1);
C.Intervals (TI, GeomAbs_C2);
BSplCLib::Hunt (TI, U1, PIndex);
// iterate by continuous segments
Standard_Real Ua = U1;
for (Standard_Integer Index = PIndex;;)
{
Standard_Real Ub = Min (U2, TI (Index + 1));
if (!PerformCurve (Parameters, Points, C, Deflection,
Ua, Ub, EPSILON, Continuity))
return Standard_False;
++Index;
if (Index > NbIntervals || U2 < TI (Index))
return Standard_True;
// remove last point to avoid duplication
Parameters.Remove (Parameters.Length());
Points.Remove (Points.Length());
Ua = Ub;
}
#ifndef _MSC_VER
return Standard_True;
#endif
}
//=======================================================================
//function : GCPnts_QuasiUniformDeflection
//purpose :
//=======================================================================
GCPnts_QuasiUniformDeflection::GCPnts_QuasiUniformDeflection
(TheCurve& C,
const Standard_Real Deflection,
const Standard_Real U1,
const Standard_Real U2,
const GeomAbs_Shape Continuity)
{
Initialize (C, Deflection, U1, U2, Continuity);
}
//=======================================================================
//function : GCPnts_QuasiUniformDeflection
//purpose :
//=======================================================================
GCPnts_QuasiUniformDeflection::GCPnts_QuasiUniformDeflection
(TheCurve& C,
const Standard_Real Deflection,
const GeomAbs_Shape Continuity)
{
Initialize (C, Deflection, Continuity);
}
//=======================================================================
//function : Initialize
//purpose :
//=======================================================================
void GCPnts_QuasiUniformDeflection::Initialize (TheCurve& C,
const Standard_Real Deflection,
const GeomAbs_Shape Continuity)
{
Initialize (C, Deflection, C.FirstParameter(),
C.LastParameter(), Continuity);
}
//=======================================================================
//function : Initialize
//purpose :
//=======================================================================
void GCPnts_QuasiUniformDeflection::Initialize
(TheCurve& C,
const Standard_Real Deflection,
const Standard_Real theU1,
const Standard_Real theU2,
const GeomAbs_Shape Continuity)
{
myCont = (Continuity > GeomAbs_G1) ? GeomAbs_C1 : GeomAbs_C0;
Standard_Real EPSILON = C.Resolution (Precision::Confusion());
EPSILON = Min (EPSILON, 1.e50);
myDeflection = Deflection;
myDone = Standard_False;
myParams.Clear();
myPoints.Clear();
GCPnts_DeflectionType Type = GetDefType (C);
Standard_Real U1 = Min (theU1, theU2);
Standard_Real U2 = Max (theU1, theU2);
if (Type == GCPnts_Curved || Type == GCPnts_DefComposite)
{
if (C.GetType() == GeomAbs_BSplineCurve || C.GetType() == GeomAbs_BezierCurve)
{
Standard_Real maxpar = Max (Abs (C.FirstParameter()), Abs (C.LastParameter()));
if (EPSILON < Epsilon (maxpar)) return;
}
}
switch (Type)
{
case GCPnts_Linear:
myDone = PerformLinear (C, myParams, myPoints, U1, U2);
break;
case GCPnts_Circular:
myDone = PerformCircular (C, myParams, myPoints, Deflection, U1, U2);
break;
case GCPnts_Curved:
myDone = PerformCurve (myParams, myPoints, C, Deflection,
U1, U2, EPSILON, myCont);
break;
case GCPnts_DefComposite:
myDone = PerformComposite (myParams, myPoints, C, Deflection,
U1, U2, EPSILON, myCont);
break;
}
}
//=======================================================================
//function : QuasiFleche
//purpose :
//=======================================================================
void QuasiFleche (const TheCurve& C,
const Standard_Real Deflection2,
const Standard_Real Udeb,
const gp_Pnt& Pdeb,
const gp_Vec& Vdeb,
const Standard_Real Ufin,
const gp_Pnt& Pfin,
const gp_Vec& Vfin,
const Standard_Integer Nbmin,
const Standard_Real Eps,
TColStd_SequenceOfReal& Parameters,
TColgp_SequenceOfPnt& Points)
{
Standard_Integer Ptslength = Points.Length();
Standard_Real Udelta = Ufin - Udeb;
gp_Pnt Pdelta;
gp_Vec Vdelta;
if (Nbmin > 2)
{
Udelta /= (Nbmin - 1);
D1 (C, Udeb + Udelta, Pdelta, Vdelta);
}
else
{
Pdelta = Pfin;
Vdelta = Vfin;
}
Standard_Real Norme = gp_Vec (Pdeb, Pdelta).SquareMagnitude();
Standard_Real theFleche = 0;
Standard_Boolean flecheok = Standard_False;
if (Norme > Eps)
{
// Evaluation de la fleche par interpolation . Voir IntWalk_IWalking_5.gxx
Standard_Real N1 = Vdeb.SquareMagnitude();
Standard_Real N2 = Vdelta.SquareMagnitude();
if (N1 > Eps && N2 > Eps)
{
Standard_Real Normediff = (Vdeb.Normalized().XYZ() - Vdelta.Normalized().XYZ()).SquareModulus();
if (Normediff > Eps)
{
theFleche = Normediff * Norme / 64.;
flecheok = Standard_True;
}
}
}
if (!flecheok)
{
gp_Pnt Pmid ((Pdeb.XYZ() + Pdelta.XYZ()) * 0.5);
gp_Pnt Pverif (Value(C, Udeb + Udelta * 0.5));
theFleche = Pmid.SquareDistance (Pverif);
}
if (theFleche < Deflection2)
{
Parameters.Append (Udeb + Udelta);
Points.Append (Pdelta);
}
else
{
QuasiFleche (C, Deflection2, Udeb, Pdeb,
Vdeb,
Udeb + Udelta, Pdelta,
Vdelta,
3,
Eps,
Parameters, Points);
}
if (Nbmin > 2)
{
QuasiFleche (C, Deflection2, Udeb + Udelta, Pdelta,
Vdelta,
Ufin, Pfin,
Vfin,
Nbmin - (Points.Length() - Ptslength),
Eps,
Parameters, Points);
}
}
//=======================================================================
//function : QuasiFleche
//purpose :
//=======================================================================
void QuasiFleche (const TheCurve& C,
const Standard_Real Deflection2,
const Standard_Real Udeb,
const gp_Pnt& Pdeb,
const Standard_Real Ufin,
const gp_Pnt& Pfin,
const Standard_Integer Nbmin,
TColStd_SequenceOfReal& Parameters,
TColgp_SequenceOfPnt& Points)
{
Standard_Integer Ptslength = Points.Length();
Standard_Real Udelta = Ufin - Udeb;
gp_Pnt Pdelta;
if (Nbmin > 2)
{
Udelta /= (Nbmin-1);
Pdelta = Value (C, Udeb + Udelta);
}
else
{
Pdelta = Pfin;
}
gp_Pnt Pmid ((Pdeb.XYZ() + Pdelta.XYZ()) * 0.5);
gp_Pnt Pverif (Value (C, Udeb + Udelta * 0.5));
Standard_Real theFleche = Pmid.SquareDistance (Pverif);
if (theFleche < Deflection2)
{
Parameters.Append(Udeb + Udelta);
Points.Append (Pdelta);
}
else
{
QuasiFleche (C, Deflection2, Udeb, Pdeb,
Udeb + Udelta * 0.5, Pverif,
2,
Parameters, Points);
QuasiFleche (C, Deflection2, Udeb + Udelta * 0.5, Pverif,
Udeb + Udelta, Pdelta,
2,
Parameters, Points);
}
if (Nbmin > 2)
{
QuasiFleche (C, Deflection2, Udeb + Udelta, Pdelta,
Ufin, Pfin,
Nbmin - (Points.Length() - Ptslength),
Parameters, Points);
}
}
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