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// File: ShapeCustom_Curve2d.cxx
// Created: 20.12.01 15:45:21
// Author: Pavel TELKOV
// Copyright: Matra Datavision 2001
// Last modification:
#include <ShapeCustom_Curve2d.ixx>
#include <Standard_ErrorHandler.hxx>
#include <gp_Vec2d.hxx>
#include <gp_Dir2d.hxx>
#include <gp_Lin2d.hxx>
#include <gp_Pnt2d.hxx>
#include <ElCLib.hxx>
#include <Precision.hxx>
#include <Geom2d_BSplineCurve.hxx>
#include <Geom2d_BezierCurve.hxx>
//=======================================================================
//function : GetLine
//purpose : static
//=======================================================================
static gp_Lin2d GetLine (const gp_Pnt2d& P1, const gp_Pnt2d& P2,
const Standard_Real c1, Standard_Real& cf, Standard_Real& cl)
{
gp_Vec2d avec (P1,P2);
gp_Dir2d adir (avec);
gp_Lin2d alin (P1,adir);
alin.SetLocation (ElCLib::Value (c1, alin));
cf = ElCLib::Parameter (alin, P1);
cl = ElCLib::Parameter (alin, P2);
return alin;
}
//=======================================================================
//function : IsLinear
//purpose : static
//=======================================================================
Standard_Boolean ShapeCustom_Curve2d::IsLinear(const TColgp_Array1OfPnt2d& thePoles,
const Standard_Real tolerance,
Standard_Real& Deviation)
{
Standard_Integer nbPoles = thePoles.Length();
if(nbPoles < 2)
return Standard_False;
Standard_Real dMax = 0;
Standard_Integer iMax1=0,iMax2=0;
Standard_Integer i;
for(i = 1; i < nbPoles; i++)
for(Standard_Integer j = i+1; j <= nbPoles; j++) {
Standard_Real dist = thePoles(i).SquareDistance(thePoles(j));
if(dist > dMax) {
dMax = dist;
iMax1 = i;
iMax2 = j;
}
}
Standard_Real dPreci = Precision::PConfusion()*Precision::PConfusion();
if(dMax < dPreci)
return Standard_False;
Standard_Real tol2 = tolerance*tolerance;
gp_Vec2d avec (thePoles(iMax1),thePoles(iMax2));
gp_Dir2d adir (avec);
gp_Lin2d alin (thePoles(iMax1),adir);
Standard_Real aMax = 0.;
for(i = 1; i <= nbPoles; i++) {
Standard_Real dist = alin.SquareDistance(thePoles(i));
if(dist > tol2)
return Standard_False;
if(dist > aMax)
aMax = dist;
}
Deviation = sqrt(aMax);
return Standard_True;
}
//=======================================================================
//function : ConvertToLine2d
//purpose : static
//=======================================================================
Handle(Geom2d_Line) ShapeCustom_Curve2d::ConvertToLine2d (const Handle(Geom2d_Curve)& theCurve,
const Standard_Real c1,
const Standard_Real c2,
const Standard_Real theTolerance,
Standard_Real& cf,
Standard_Real& cl,
Standard_Real& theDeviation)
{
Handle(Geom2d_Line) aLine2d;
gp_Pnt2d P1 = theCurve->Value(c1);
gp_Pnt2d P2 = theCurve->Value(c2);
Standard_Real dPreci = theTolerance*theTolerance;
if(P1.SquareDistance(P2) < dPreci)
return aLine2d; // it is not a line
Handle(Geom2d_BSplineCurve) bsc = Handle(Geom2d_BSplineCurve)::DownCast(theCurve);
if (!bsc.IsNull()) {
Standard_Integer nbPoles = bsc->NbPoles();
TColgp_Array1OfPnt2d Poles(1,nbPoles);
bsc->Poles(Poles);
if(!ShapeCustom_Curve2d::IsLinear(Poles,theTolerance,theDeviation))
return aLine2d; // non
gp_Lin2d alin = GetLine (P1,P2,c1,cf,cl);
aLine2d = new Geom2d_Line (alin);
return aLine2d;
}
Handle(Geom2d_BezierCurve) bzc = Handle(Geom2d_BezierCurve)::DownCast(theCurve);
if (!bzc.IsNull()) {
Standard_Integer nbPoles = bzc->NbPoles();
TColgp_Array1OfPnt2d Poles(1,nbPoles);
bzc->Poles(Poles);
if(!ShapeCustom_Curve2d::IsLinear(Poles,theTolerance,theDeviation))
return aLine2d; // non
gp_Lin2d alin = GetLine (P1,P2,c1,cf,cl);
aLine2d = new Geom2d_Line (alin);
return aLine2d;
}
return aLine2d;
}
//=======================================================================
//function : SimplifyBSpline2d
//purpose :
//=======================================================================
Standard_Boolean ShapeCustom_Curve2d::SimplifyBSpline2d (Handle(Geom2d_BSplineCurve)& theBSpline2d,
const Standard_Real theTolerance)
{
Standard_Integer aInitNbK;
Standard_Integer NbK = aInitNbK = theBSpline2d->NbKnots();
// search knot to remove
Standard_Boolean IsToRemove = Standard_True;
Standard_Integer aKnotIndx = NbK-1;
while (IsToRemove && NbK > 2)
{
Standard_Integer aMult = theBSpline2d->Multiplicity(aKnotIndx);
Standard_Integer DegMult = theBSpline2d->Degree() - aMult;
if ((DegMult > 1) && theBSpline2d->IsCN(DegMult))
{
Standard_Real U = theBSpline2d->Knot(aKnotIndx);
gp_Vec2d aVec1 = theBSpline2d->LocalDN(U, aKnotIndx-1, aKnotIndx, DegMult);
gp_Vec2d aVec2 = theBSpline2d->LocalDN(U, aKnotIndx, aKnotIndx+1, DegMult);
// check the derivations are have the "same" angle
if (aVec1.IsParallel(aVec2, Precision::Angular()))
{
// remove knot
try
{
OCC_CATCH_SIGNALS
theBSpline2d->RemoveKnot(aKnotIndx,
aMult-1,
theTolerance);
}
catch(Standard_Failure)
{
}
}
}
aKnotIndx--;
NbK = theBSpline2d->NbKnots();
if (aKnotIndx == 1 || aKnotIndx == NbK)
IsToRemove = Standard_False;
}
return (aInitNbK > NbK);
}
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