#include <BRepOffsetAPI_MakePipeShell.hxx>
#include <BRep_Tool.hxx>
#include <Geom_Curve.hxx>
+#include <Geom2d_Curve.hxx>
+#include <Geom_Plane.hxx>
+#include <TColStd_SequenceOfInteger.hxx>
+#include <TColStd_ListOfReal.hxx>
+#include <BRepAdaptor_Curve.hxx>
+#include <GeomProjLib.hxx>
+#include <Geom2dAPI_InterCurveCurve.hxx>
+#include <Geom2dAPI_InterCurveCurve.hxx>
+#include <Geom2d_Line.hxx>
+#include <BRepLib_FindSurface.hxx>
+#include <GProp_GProps.hxx>
+#include <BRepGProp.hxx>
+#include <BRepTools_WireExplorer.hxx>
+#include <Geom2dAPI_ProjectPointOnCurve.hxx>
+#include <gp_Circ.hxx>
+#include <gp_Elips.hxx>
+#include <ElSLib.hxx>
+#include <ElCLib.hxx>
+#include <TColStd_ListIteratorOfListOfReal.hxx>
+#include <Geom_Circle.hxx>
+#include <GeomAPI_ProjectPointOnCurve.hxx>
+#include <TopTools_IndexedDataMapOfShapeListOfShape.hxx>
+#include <TopTools_ListIteratorOfListOfShape.hxx>
+#include <TopExp_Explorer.hxx>
+
+/**
+* GEOMImpl_Fillet1dPoint is an internal class for 1D fillet algorithm
+* to store and compare computed solutions on edges
+*/
+
+class GEOMImpl_Fillet1dPoint
+{
+public:
+ //! Puiblic methods
+
+ //! Constructor
+ Standard_EXPORT GEOMImpl_Fillet1dPoint(Standard_Real theParam)
+ {myParam = theParam;}
+
+ //! Make copy of point
+ //!WARNING: Copies only field values: myParam, myV, myD, myValid
+ Standard_EXPORT GEOMImpl_Fillet1dPoint* Copy(); // warning: this is not the full copy!
+
+ //! Set/Get parameter
+ Standard_EXPORT inline void SetParam(Standard_Real theParam)
+ {myParam = theParam;}
+ Standard_EXPORT inline Standard_Real GetParam() const
+ {return myParam;}
+ Standard_EXPORT inline void SetParam2(const Standard_Real theParam2)
+ {myParam2 = theParam2;}
+ Standard_EXPORT inline Standard_Real GetParam2()
+ { return myParam2 ; }
+
+ //! Returns validity
+ Standard_EXPORT inline Standard_Boolean IsValid(int theIndex)
+ {return (Standard_Boolean)myValid.Value(theIndex);}
+
+ //! Get values
+ Standard_EXPORT inline Standard_Integer GetNBValues() {return myV.Length();}
+ Standard_EXPORT inline Standard_Real GetValue(Standard_Integer theIndex)
+ {return myV.Value(theIndex);}
+ Standard_EXPORT inline Standard_Real GetDiff(Standard_Integer theIndex)
+ {return myD.Value(theIndex);}
+ Standard_EXPORT inline Standard_Integer GetNear(Standard_Integer theIndex)
+ {return myNear.Value(theIndex);}
+
+ //! Set/Get center point
+ Standard_EXPORT inline void SetCenter(const gp_Pnt2d thePoint)
+ {myCenter = thePoint;}
+ Standard_EXPORT inline const gp_Pnt2d GetCenter()
+ {return myCenter;}
+
+ Standard_EXPORT void AddValue(Standard_Real theValue, Standard_Boolean theIsValid);
+
+ //! compute difference between this and given point
+ Standard_EXPORT Standard_Boolean ComputeDifference(GEOMImpl_Fillet1dPoint*);
+ Standard_EXPORT void FilterPoints(GEOMImpl_Fillet1dPoint*);
+
+ //! Checks if point contains solution and returns the index of it if any
+ Standard_EXPORT Standard_Integer HasSolution(Standard_Real theRadius);
+ //! Remove solution by index
+ void RemoveSolution(Standard_Integer theIndex);
+
+private:
+ //! Private fields
+ gp_Pnt2d myCenter;
+ Standard_Real myParam, myParam2;
+ TColStd_SequenceOfReal myV;
+ TColStd_SequenceOfReal myD;
+ TColStd_SequenceOfInteger myValid;
+ TColStd_SequenceOfInteger myNear;
+};
+
+class GEOMImpl_Fillet1d
+{
+public:
+ //! Constructor
+ //! The fillet 1D algorithm is initialised by two edges and plane
+ Standard_EXPORT GEOMImpl_Fillet1d(const TopoDS_Edge& theEdge1,
+ const TopoDS_Edge& theEdge2,
+ const gp_Pln& thePlane);
+ //! Makes fillet with given radius
+ //! @returns Standard_True, if at least one result computed
+ Standard_EXPORT Standard_Boolean Perform(const Standard_Real theRadius);
+
+ //! Returns result fillet edge and modified edges as out parameters
+ Standard_EXPORT TopoDS_Edge Result(const gp_Pnt& thePoint, TopoDS_Edge& theEdge1, TopoDS_Edge& theEdge2);
+
+private:
+ //! private methods
+ void fillPoint(GEOMImpl_Fillet1dPoint*);
+ void fillDiff(GEOMImpl_Fillet1dPoint*, Standard_Real, Standard_Boolean);
+ void performNewton(GEOMImpl_Fillet1dPoint*, GEOMImpl_Fillet1dPoint*);
+ Standard_Boolean processPoint(GEOMImpl_Fillet1dPoint*, GEOMImpl_Fillet1dPoint*, Standard_Real);
+
+private:
+ //! private fields
+ TopoDS_Edge myEdge1, myEdge2;
+ Handle(Geom_Plane) myPlane;
+ Handle(Geom2d_Curve) myCurve1, myCurve2;
+ Standard_Real myStart1, myEnd1, myStart2, myEnd2, myRadius;
+ TColStd_ListOfReal myResultParams;
+ TColStd_SequenceOfInteger myResultOrientation;
+ Standard_Boolean myStartSide, myEdgesExchnged;
+ Standard_Integer myDegreeOfRecursion;
+};
+
+//from GEOMImpl_Fillet1d.cxx
+GEOMImpl_Fillet1d::GEOMImpl_Fillet1d(const TopoDS_Edge& theEdge1,
+ const TopoDS_Edge& theEdge2,
+ const gp_Pln& thePlane)
+: myEdgesExchnged( Standard_False )
+{
+ myPlane = new Geom_Plane(thePlane);
+
+ BRepAdaptor_Curve aBAC1(theEdge1);
+ BRepAdaptor_Curve aBAC2(theEdge2);
+ if (aBAC1.GetType() < aBAC2.GetType())
+ { // first curve must be more complicated
+ myEdge1 = theEdge2;
+ myEdge2 = theEdge1;
+ myEdgesExchnged = Standard_True;
+ }
+ else
+ {
+ myEdge1 = theEdge1;
+ myEdge2 = theEdge2;
+ }
+
+ Handle(Geom_Curve) aCurve1 = BRep_Tool::Curve(myEdge1, myStart1, myEnd1);
+ Handle(Geom_Curve) aCurve2 = BRep_Tool::Curve(myEdge2, myStart2, myEnd2);
+
+ myCurve1 = GeomProjLib::Curve2d(aCurve1, myStart1, myEnd1, myPlane);
+ myCurve2 = GeomProjLib::Curve2d(aCurve2, myStart2, myEnd2, myPlane);
+
+ while (myCurve1->IsPeriodic() && myStart1 >= myEnd1)
+ myEnd1 += myCurve1->Period();
+ while (myCurve2->IsPeriodic() && myStart2 >= myEnd2)
+ myEnd2 += myCurve2->Period();
+
+ if (aBAC1.GetType() == aBAC2.GetType())
+ {
+ if (myEnd2 - myStart2 < myEnd1 - myStart1)
+ { // first curve must be parametrically shorter
+ TopoDS_Edge anEdge = myEdge1;
+ myEdge1 = myEdge2;
+ myEdge2 = anEdge;
+ Handle(Geom2d_Curve) aCurve = myCurve1;
+ myCurve1 = myCurve2;
+ myCurve2 = aCurve;
+ Standard_Real a = myStart1;
+ myStart1 = myStart2;
+ myStart2 = a;
+ a = myEnd1;
+ myEnd1 = myEnd2;
+ myEnd2 = a;
+ myEdgesExchnged = Standard_True;
+ }
+ }
+}
+
+//=======================================================================
+//function : isRadiusIntersected
+//purpose : local function
+//=======================================================================
+static Standard_Boolean isRadiusIntersected(const Handle(Geom2d_Curve)& theCurve,
+ const gp_Pnt2d theStart,
+ const gp_Pnt2d theEnd,
+ const Standard_Boolean theStartConnected)
+{
+ const Standard_Real aTol = Precision::Confusion();
+ const Standard_Real anAngTol = Precision::Angular();
+ Geom2dAPI_InterCurveCurve anInter(theCurve, new Geom2d_Line(theStart,
+ gp_Dir2d(gp_Vec2d(theStart, theEnd))), aTol);
+ Standard_Integer a;
+ gp_Pnt2d aPoint;
+ for(a = anInter.NbPoints(); a > 0; a--)
+ {
+ aPoint = anInter.Point(a);
+ if ( aPoint.Distance(theStart) < aTol && !theStartConnected )
+ return Standard_True;
+ if (aPoint.Distance(theEnd) < aTol * 200)
+ return Standard_True;
+ if (gp_Vec2d(aPoint, theStart).IsOpposite(gp_Vec2d(aPoint, theEnd), anAngTol))
+ return Standard_True;
+ }
+ Handle(Geom2d_Curve) aCurve;
+ for(a = anInter.NbSegments(); a > 0; a--)
+ {
+ anInter.Segment(a, aCurve);
+ aPoint = aCurve->Value(aCurve->FirstParameter());
+ if (aPoint.Distance(theStart) < aTol)
+ if (!theStartConnected)
+ return Standard_True;
+ if (aPoint.Distance(theEnd) < aTol)
+ return Standard_True;
+ if (gp_Vec2d(aPoint, theStart).IsOpposite(gp_Vec2d(aPoint, theEnd), anAngTol))
+ return Standard_True;
+ aPoint = aCurve->Value(aCurve->LastParameter());
+ if (aPoint.Distance(theStart) < aTol)
+ if (!theStartConnected)
+ return Standard_True;
+ if (aPoint.Distance(theEnd) < aTol)
+ return Standard_True;
+ if (gp_Vec2d(aPoint, theStart).IsOpposite(gp_Vec2d(aPoint, theEnd), anAngTol))
+ return Standard_True;
+ }
+ return Standard_False;
+}
+
+//=======================================================================
+//function : PlaneOfWire
+//purpose : local function
+//=======================================================================
+static Standard_Boolean PlaneOfWire (const TopoDS_Wire& W, gp_Pln& P)
+{
+ Standard_Boolean isplane = Standard_True;
+ BRepLib_FindSurface findPlanarSurf;
+ Handle(Geom_Surface) S;
+ TopLoc_Location L;
+
+ GProp_GProps GP;
+ BRepGProp::LinearProperties(W,GP);
+ gp_Pnt Bary = GP.CentreOfMass();
+
+// shielding for particular cases : only one edge circle or ellipse
+// on a closed wire !
+ Standard_Integer nbEdges = 0;
+ BRepTools_WireExplorer anExp;
+ anExp.Init(W);
+ Standard_Boolean wClosed = W.Closed();
+ if (!wClosed) {
+ // it is checked if the vertices are the same.
+ TopoDS_Vertex V1, V2;
+ TopExp::Vertices(W,V1,V2);
+ if ( V1.IsSame(V2)) wClosed = Standard_True;
+ }
+ TopoDS_Edge Edge = TopoDS::Edge(anExp.Current());
+ Standard_Real first, last;
+ TopLoc_Location loc;
+ Handle(Geom_Curve) curv;
+ curv = BRep_Tool::Curve(Edge, loc, first, last);
+ curv =
+ Handle(Geom_Curve)::DownCast(curv->Transformed(loc.Transformation()));
+ if (wClosed) {
+ GeomAdaptor_Curve AdC;
+ AdC.Load(curv);
+ for(; anExp.More(); anExp.Next()) {
+ nbEdges ++;
+ }
+ if ( nbEdges==1 && AdC.GetType() == GeomAbs_Circle ) {
+ Bary = AdC.Circle().Location();
+ }
+ if ( nbEdges==1 && AdC.GetType() == GeomAbs_Ellipse ) {
+ Bary = AdC.Ellipse().Location();
+ }
+ }
+
+ findPlanarSurf.Init(W, -1, Standard_True);
+ if ( findPlanarSurf.Found()) {
+ S = findPlanarSurf.Surface();
+ L = findPlanarSurf.Location();
+ if (!L.IsIdentity()) S = Handle(Geom_Surface)::
+ DownCast(S->Transformed(L.Transformation()));
+ P = (Handle(Geom_Plane)::DownCast(S))->Pln();
+ P.SetLocation(Bary);
+ }
+ else {
+ // wire not plane !
+ isplane = Standard_False;
+ }
+
+ return isplane;
+}
+
+//=======================================================================
+//function : fillPoint
+//purpose :
+//=======================================================================
+void GEOMImpl_Fillet1d::fillPoint(GEOMImpl_Fillet1dPoint* thePoint)
+{
+ gp_Pnt2d aPoint;
+ gp_Vec2d aVec;
+ const Standard_Real aTol = Precision::Confusion();
+ myCurve1->D1(thePoint->GetParam(), aPoint, aVec);
+ if (aVec.SquareMagnitude() < aTol)
+ return;
+
+ gp_Vec2d aPerp(((myStartSide)?-1:1) * aVec.Y(), ((myStartSide)?1:-1) * aVec.X());
+ aPerp.Normalize();
+ aPerp.Multiply(myRadius);
+ gp_Pnt2d aCenter = aPoint.Translated(aPerp);
+ thePoint->SetCenter(aCenter);
+
+ // on the intersection point
+ Standard_Boolean aValid = Standard_True;
+ Geom2dAPI_ProjectPointOnCurve aProjInt(aPoint, myCurve2);
+ if (aProjInt.NbPoints() && aPoint.Distance(aProjInt.NearestPoint()) < aTol)
+ aValid = Standard_False;
+ else
+ aValid = !isRadiusIntersected(myCurve2, aPoint, aCenter, Standard_True);
+
+ Geom2dAPI_ProjectPointOnCurve aProj(aCenter, myCurve2);
+ Standard_Integer a, aNB = aProj.NbPoints();
+ for(a = aNB; a > 0; a--)
+ {
+ if (aPoint.Distance(aProj.Point(a)) < aTol)
+ continue;
+
+ Standard_Boolean aValid2 = aValid;
+ if (aValid2)
+ aValid2 = !isRadiusIntersected(myCurve1, aCenter, aProj.Point(a), Standard_False);
+
+ // checking the right parameter
+ Standard_Real aParam = aProj.Parameter(a);
+ while(myCurve2->IsPeriodic() && aParam < myStart2)
+ aParam += myCurve2->Period();
+
+ thePoint->AddValue(aProj.Distance(a) * aProj.Distance(a) - myRadius * myRadius,
+ (aParam >= myStart2 && aParam <= myEnd2 && aValid2));
+ if (fabs(fabs(aProj.Distance(a)) - myRadius) < aTol)
+ thePoint->SetParam2(aParam);
+ }
+}
+
+//=======================================================================
+//function : fillDiff
+//purpose :
+//=======================================================================
+void GEOMImpl_Fillet1d::fillDiff(GEOMImpl_Fillet1dPoint* thePoint, Standard_Real theDiffStep, Standard_Boolean theFront)
+{
+ GEOMImpl_Fillet1dPoint* aDiff =
+ new GEOMImpl_Fillet1dPoint(thePoint->GetParam() + (theFront?(theDiffStep):(-theDiffStep)));
+ fillPoint(aDiff);
+ if (!thePoint->ComputeDifference(aDiff))
+ {
+ aDiff->SetParam(thePoint->GetParam() + (theFront?(-theDiffStep):(theDiffStep)));
+ fillPoint(aDiff);
+ thePoint->ComputeDifference(aDiff);
+ }
+ delete aDiff;
+}
+
+//=======================================================================
+//function : Perform
+//purpose :
+//=======================================================================
+Standard_Boolean GEOMImpl_Fillet1d::Perform(const Standard_Real theRadius)
+{
+ myDegreeOfRecursion = 0;
+ myResultParams.Clear();
+ myResultOrientation.Clear();
+
+ Standard_Real aNBSteps = 100;
+ Geom2dAdaptor_Curve aGAC(myCurve1);
+ switch (aGAC.GetType())
+ {
+ case GeomAbs_Line:
+ aNBSteps = 2;
+ break;
+ case GeomAbs_Circle:
+ aNBSteps = 4;
+ break;
+ case GeomAbs_Ellipse:
+ aNBSteps = 5;
+ break;
+ case GeomAbs_BezierCurve:
+ case GeomAbs_BSplineCurve:
+ aNBSteps = 2 + aGAC.Degree() * aGAC.NbPoles();
+ break;
+ default: // unknown: maximum
+ aNBSteps = 100;
+ }
+
+ myRadius = theRadius;
+ Standard_Real aParam, aStep, aDStep;
+ aStep = (myEnd1 - myStart1) / aNBSteps;
+ aDStep = aStep/1000.;
+
+ Standard_Integer aCycle;
+ for(aCycle = 2, myStartSide = Standard_False; aCycle; myStartSide = !myStartSide, aCycle--)
+ {
+ GEOMImpl_Fillet1dPoint *aLeft = NULL, *aRight = NULL;
+
+ for(aParam = myStart1 + aStep; aParam < myEnd1 || fabs(myEnd1 - aParam) < Precision::Confusion(); aParam += aStep)
+ {
+ if (!aLeft)
+ {
+ aLeft = new GEOMImpl_Fillet1dPoint(aParam - aStep);
+ fillPoint(aLeft);
+ fillDiff(aLeft, aDStep, Standard_True);
+ }
+
+ aRight = new GEOMImpl_Fillet1dPoint(aParam);
+ fillPoint(aRight);
+ fillDiff(aRight, aDStep, Standard_False);
+
+ aLeft->FilterPoints(aRight);
+ performNewton(aLeft, aRight);
+
+ delete aLeft;
+ aLeft = aRight;
+ }
+ delete aLeft;
+ }
+
+ if (myResultParams.Extent())
+ return Standard_True;
+
+ return Standard_False;
+}
+
+//=======================================================================
+//function : processPoint
+//purpose :
+//=======================================================================
+Standard_Boolean GEOMImpl_Fillet1d::processPoint(GEOMImpl_Fillet1dPoint* theLeft,
+ GEOMImpl_Fillet1dPoint* theRight,
+ Standard_Real theParameter)
+{
+ if (theParameter >= theLeft->GetParam() && theParameter < theRight->GetParam())
+ {
+ Standard_Real aDX = theRight->GetParam() - theLeft->GetParam();
+ if (theParameter - theLeft->GetParam() < aDX / 100.)
+ {
+ theParameter = theLeft->GetParam() + aDX / 100.;
+ }
+ if (theRight->GetParam() - theParameter < aDX / 100.)
+ {
+ theParameter = theRight->GetParam() - aDX / 100.;
+ }
+
+ // Protection on infinite loop.
+ myDegreeOfRecursion++;
+ Standard_Real diffx = 0.001 * aDX;
+ if (myDegreeOfRecursion > 1000)
+ {
+ diffx *= 10.0;
+ if (myDegreeOfRecursion > 10000)
+ {
+ diffx *= 10.0;
+ if (myDegreeOfRecursion > 100000)
+ {
+ return Standard_True;
+ }
+ }
+ }
+
+ GEOMImpl_Fillet1dPoint* aPoint1 = theLeft->Copy();
+ GEOMImpl_Fillet1dPoint* aPoint2 = new GEOMImpl_Fillet1dPoint(theParameter);
+ fillPoint(aPoint2);
+ fillDiff(aPoint2, diffx, Standard_True);
+
+ aPoint1->FilterPoints(aPoint2);
+ performNewton(aPoint1, aPoint2);
+ aPoint2->FilterPoints(theRight);
+ performNewton(aPoint2, theRight);
+
+ delete aPoint1;
+ delete aPoint2;
+ return Standard_True;
+ }
+
+ return Standard_False;
+}
+
+//=======================================================================
+//function : performNewton
+//purpose :
+//=======================================================================
+void GEOMImpl_Fillet1d::performNewton(GEOMImpl_Fillet1dPoint* theLeft,
+ GEOMImpl_Fillet1dPoint* theRight)
+{
+ Standard_Integer a;
+ // check the left: if this is solution store it and remove it from the list of researching points of theLeft
+ a = theLeft->HasSolution(myRadius);
+ if (a)
+ {
+ if (theLeft->IsValid(a))
+ {
+ myResultParams.Append(theLeft->GetParam());
+ myResultOrientation.Append(myStartSide);
+ }
+ return;
+ }
+
+ Standard_Real aDX = theRight->GetParam() - theLeft->GetParam();
+ if ( aDX < Precision::Confusion() / 1000000.)
+ {
+ a = theRight->HasSolution(myRadius);
+ if (a)
+ if (theRight->IsValid(a))
+ {
+ myResultParams.Append(theRight->GetParam());
+ myResultOrientation.Append(myStartSide);
+ }
+ return;
+ }
+
+ for(a = 1; a <= theLeft->GetNBValues(); a++)
+ {
+ Standard_Integer aNear = theLeft->GetNear(a);
+
+ Standard_Real aA = (theRight->GetDiff(aNear) - theLeft->GetDiff(a)) / aDX;
+ Standard_Real aB = theLeft->GetDiff(a) - aA * theLeft->GetParam();
+ Standard_Real aC = theLeft->GetValue(a) - theLeft->GetDiff(a) * theLeft->GetParam() +
+ aA * theLeft->GetParam() * theLeft->GetParam() / 2.0;
+ Standard_Real aDet = aB * aB - 2.0 * aA * aC;
+
+ if ( fabs(aDet) < gp::Resolution() )
+ continue;
+
+ if (fabs(aA) < Precision::Confusion())
+ { // linear case
+ if (fabs(aB) > 10e-20)
+ {
+ Standard_Real aX0 = - aC / aB; // use extremum
+ if (aX0 > theLeft->GetParam() && aX0 < theRight->GetParam())
+ processPoint(theLeft, theRight, aX0);
+ }
+ else
+ {
+ processPoint(theLeft, theRight, theLeft->GetParam() + aDX / 2.0); // linear division otherwise
+ }
+ }
+ else
+ {
+ if (fabs(aB) > fabs(aDet * 1000000.))
+ { // possible floating point operations accuracy errors
+ processPoint(theLeft, theRight, theLeft->GetParam() + aDX / 2.0); // linear division otherwise
+ }
+ else
+ {
+ if (aDet > 0)
+ { // two solutions
+ aDet = sqrt(aDet);
+ Standard_Boolean aRes = processPoint(theLeft, theRight, (- aB + aDet) / aA);
+ if (!aRes)
+ aRes = processPoint(theLeft, theRight, (- aB - aDet) / aA);
+ if (!aRes)
+ processPoint(theLeft, theRight, theLeft->GetParam() + aDX / 2.0); // linear division otherwise
+ }
+ else
+ {
+ Standard_Real aX0 = - aB / aA; // use extremum
+ if (aX0 > theLeft->GetParam() && aX0 < theRight->GetParam())
+ processPoint(theLeft, theRight, aX0);
+ else
+ processPoint(theLeft, theRight, theLeft->GetParam() + aDX / 2.0); // linear division otherwise
+ }
+ }
+ }
+ }
+}
+
+//=======================================================================
+//function : Result
+//purpose :
+//=======================================================================
+TopoDS_Edge GEOMImpl_Fillet1d::Result(const gp_Pnt& thePoint,
+ TopoDS_Edge& theEdge1,
+ TopoDS_Edge& theEdge2)
+{
+ TopoDS_Edge aResult;
+ gp_Pnt2d aTargetPoint2d;
+ Standard_Real aX, aY;
+ ElSLib::PlaneParameters(myPlane->Pln().Position(), thePoint, aX, aY);
+ aTargetPoint2d.SetCoord(aX, aY);
+
+ // choose the nearest circle
+ Standard_Real aDistance = RealLast(), aP;
+ GEOMImpl_Fillet1dPoint *aNearest;
+ Standard_Integer a;
+ TColStd_ListIteratorOfListOfReal anIter(myResultParams);
+ for(aNearest = NULL, a = 1; anIter.More(); anIter.Next(), a++)
+ {
+ myStartSide = (myResultOrientation.Value(a)) ? Standard_True : Standard_False;
+ GEOMImpl_Fillet1dPoint *aPoint = new GEOMImpl_Fillet1dPoint(anIter.Value());
+ fillPoint(aPoint);
+ if (!aPoint->HasSolution(myRadius))
+ continue;
+ aP = fabs(aPoint->GetCenter().Distance(aTargetPoint2d) - myRadius);
+ if (!aNearest || aP < aDistance)
+ {
+ aNearest = aPoint;
+ aDistance = aP;
+ }
+ else
+ {
+ delete aPoint;
+ }
+ }
+
+ if (!aNearest)
+ return aResult;
+
+ // create circle edge
+ gp_Pnt aCenter = ElSLib::PlaneValue(aNearest->GetCenter().X(),
+ aNearest->GetCenter().Y(),
+ myPlane->Pln().Position());
+ Handle(Geom_Circle) aCircle =
+ new Geom_Circle(gp_Ax2(aCenter, myPlane->Pln().Axis().Direction()), myRadius);
+ gp_Pnt2d aPoint2d1, aPoint2d2;
+ myCurve1->D0(aNearest->GetParam(), aPoint2d1);
+ myCurve2->D0(aNearest->GetParam2(), aPoint2d2);
+ gp_Pnt aPoint1 = ElSLib::PlaneValue(aPoint2d1.X(), aPoint2d1.Y(), myPlane->Pln().Position());
+ gp_Pnt aPoint2 = ElSLib::PlaneValue(aPoint2d2.X(), aPoint2d2.Y(), myPlane->Pln().Position());
+
+ GeomAPI_ProjectPointOnCurve aProj(thePoint, aCircle);
+ Standard_Real aTarGetParam = aProj.LowerDistanceParameter();
+ gp_Pnt aPointOnCircle = aProj.NearestPoint();
+
+ // Check extrema point manually, because there is a bug in Open CASCADE
+ // in calculation of nearest point to a circle near the parameter 0.0
+ gp_Pnt p0 = ElCLib::Value(0.0, aCircle->Circ());
+ if (p0.Distance(thePoint) < aPointOnCircle.Distance(thePoint))
+ {
+ aTarGetParam = 0.0;
+ aPointOnCircle = p0;
+ }
+
+ aProj.Perform(aPoint1);
+ Standard_Real aParam1 = aProj.LowerDistanceParameter();
+ aProj.Perform(aPoint2);
+ Standard_Real aParam2 = aProj.LowerDistanceParameter();
+ Standard_Boolean aIsOut = ((aParam1 < aTarGetParam && aParam2 < aTarGetParam) ||
+ (aParam1 > aTarGetParam && aParam2 > aTarGetParam));
+ if (aParam1 > aParam2)
+ aIsOut = !aIsOut;
+ BRepLib_MakeEdge aBuilder(aCircle->Circ(),
+ aIsOut ? aParam2 : aParam1,
+ aIsOut? aParam1 : aParam2);
+ aResult = aBuilder.Edge();
+
+ // divide edges
+ Standard_Real aStart, anEnd;
+ Handle(Geom_Curve) aCurve = BRep_Tool::Curve(myEdge1, aStart, anEnd);
+ gp_Vec aDir;
+ aCurve->D1(aNearest->GetParam(), aPoint1, aDir);
+
+ gp_Vec aCircleDir;
+ aCircle->D1(aParam1, aPoint1, aCircleDir);
+ if ((aCircleDir.Angle(aDir) > M_PI / 2.0) ^ aIsOut)
+ aStart = aNearest->GetParam();
+ else
+ anEnd = aNearest->GetParam();
+
+ if (fabs(aStart - anEnd) > Precision::Confusion())
+ {
+ //Divide edge
+ BRepLib_MakeEdge aDivider1(aCurve, aStart, anEnd);
+ if (myEdgesExchnged)
+ theEdge2 = aDivider1.Edge();
+ else
+ theEdge1 = aDivider1.Edge();
+ }
+
+ aCurve = BRep_Tool::Curve(myEdge2, aStart, anEnd);
+ aCurve->D1(aNearest->GetParam2(), aPoint2, aDir);
+
+ aCircle->D1(aParam2, aPoint2, aCircleDir);
+ if ((aCircleDir.Angle(aDir) > M_PI / 2.0) ^ (!aIsOut))
+ aStart = aNearest->GetParam2();
+ else
+ anEnd = aNearest->GetParam2();
+
+ if (fabs(aStart - anEnd) > Precision::Confusion())
+ {
+ BRepLib_MakeEdge aDivider2(aCurve, aStart, anEnd);
+ if (myEdgesExchnged)
+ theEdge1 = aDivider2.Edge();
+ else
+ theEdge2 = aDivider2.Edge();
+ }
+
+ delete aNearest;
+ return aResult;
+}
+
+//=======================================================================
+//function : AddValue
+//purpose :
+//=======================================================================
+void GEOMImpl_Fillet1dPoint::AddValue(Standard_Real theValue, Standard_Boolean theValid)
+{
+ Standard_Integer a;
+ for(a = 1; a <= myV.Length(); a++)
+ {
+ if (theValue < myV.Value(a))
+ {
+ myV.InsertBefore(a, theValue);
+ myValid.InsertBefore(a, (Standard_Integer)theValid);
+ return;
+ }
+ }
+ myV.Append(theValue);
+ myValid.Append((Standard_Integer)theValid);
+}
+
+//=======================================================================
+//function : ComputeDifference
+//purpose :
+//=======================================================================
+Standard_Boolean GEOMImpl_Fillet1dPoint::ComputeDifference(GEOMImpl_Fillet1dPoint* thePoint)
+{
+ Standard_Integer a;
+ Standard_Boolean aDiffsSet = (myD.Length() != 0);
+ Standard_Real aDX = thePoint->GetParam() - myParam, aDY = RealLast(); //???
+ if (thePoint->myV.Length() == myV.Length())
+ { // absolutely the same points
+ for(a = 1; a <= myV.Length(); a++)
+ {
+ aDY = thePoint->myV.Value(a) - myV.Value(a);
+ if ( aDiffsSet )
+ myD.SetValue(a, fabs(aDX) > gp::Resolution() ? (aDY/aDX) : 0);
+ else
+ myD.Append( fabs(aDX) > gp::Resolution() ? (aDY/aDX) : 0);
+ }
+ return Standard_True;
+ }
+ // between the diffeerent points searching for nearest analogs
+ Standard_Integer b;
+ for(a = 1; a <= myV.Length(); a++)
+ {
+ for(b = 1; b <= thePoint->myV.Length(); b++)
+ {
+ if (b == 1 || fabs(thePoint->myV.Value(b) - myV.Value(a)) < fabs(aDY))
+ aDY = thePoint->myV.Value(b) - myV.Value(a);
+ }
+ if (aDiffsSet)
+ {
+ if ( fabs(aDX) > gp::Resolution() && fabs(aDY / aDX) < fabs(myD.Value(a)))
+ myD.SetValue(a, aDY / aDX);
+ else
+ myD.SetValue(a, 0);
+ }
+ else
+ {
+ myD.Append( fabs(aDX) > gp::Resolution() ? aDY/aDX : 0);
+ }
+ }
+
+ return Standard_False;
+}
+
+//=======================================================================
+//function : FilterPoints
+//purpose :
+//=======================================================================
+void GEOMImpl_Fillet1dPoint::FilterPoints(GEOMImpl_Fillet1dPoint* thePoint)
+{
+ Standard_Integer a, b;
+ TColStd_SequenceOfReal aDiffs;
+ Standard_Real aY, aY2, aDX = thePoint->GetParam() - myParam;
+ for(a = 1; a <= myV.Length(); a++)
+ {
+ // searching for near point from thePoint
+ Standard_Integer aNear = 0;
+ Standard_Real aDiff = aDX * 10000.;
+ aY = myV.Value(a) + myD.Value(a) * aDX;
+ for(b = 1; b <= thePoint->myV.Length(); b++)
+ {
+ // calculate hypothesis value of the Y2 with the constant first and second derivative
+ aY2 = aY + aDX * (thePoint->myD.Value(b) - myD.Value(a)) / 2.0;
+ if (aNear == 0 || fabs(aY2 - thePoint->myV.Value(b)) < fabs(aDiff))
+ {
+ aNear = b;
+ aDiff = aY2 - thePoint->myV.Value(b);
+ }
+ }//for b...
+
+ if (aNear)
+ {
+ if (myV.Value(a) * thePoint->myV.Value(aNear) > 0)
+ {// the same sign at the same sides of the interval
+ if (myV.Value(a) * myD.Value(a) > 0)
+ {
+ if (fabs(myD.Value(a)) > Precision::Confusion())
+ aNear = 0;
+ }
+ else
+ {
+ if (fabs(myV.Value(a)) > fabs(thePoint->myV.Value(aNear)))
+ if (thePoint->myV.Value(aNear) * thePoint->myD.Value(aNear) < 0 &&
+ fabs(thePoint->myD.Value(aNear)) > Precision::Confusion())
+ {
+ aNear = 0;
+ }
+ }
+ }
+ }
+
+ if (aNear)
+ {
+ if (myV.Value(a) * thePoint->myV.Value(aNear) > 0)
+ {
+ if ((myV.Value(a) + myD.Value(a) * aDX) * myV.Value(a) > Precision::Confusion() &&
+ (thePoint->myV.Value(aNear) + thePoint->myD.Value(aNear) * aDX) * thePoint->myV.Value(aNear) > Precision::Confusion())
+ {
+ aNear = 0;
+ }
+ }
+ }
+
+ if (aNear)
+ {
+ if ( fabs(aDX) < gp::Resolution() || fabs(aDiff / aDX) > 1.e+7)
+ {
+ aNear = 0;
+ }
+ }
+
+ if (aNear == 0)
+ { // there is no near: remove it from the list
+ myV.Remove(a);
+ myD.Remove(a);
+ myValid.Remove(a);
+ a--;
+ }
+ else
+ {
+ Standard_Boolean aFound = Standard_False;
+ for(b = 1; b <= myNear.Length(); b++)
+ {
+ if (myNear.Value(b) == aNear)
+ {
+ if (fabs(aDiffs.Value(b)) < fabs(aDiff))
+ { // return this 'near'
+ aFound = Standard_True;
+ myV.Remove(a);
+ myD.Remove(a);
+ myValid.Remove(a);
+ a--;
+ break;
+ }
+ else
+ { // remove the old 'near'
+ myV.Remove(b);
+ myD.Remove(b);
+ myValid.Remove(b);
+ myNear.Remove(b);
+ aDiffs.Remove(b);
+ a--;
+ break;
+ }
+ }
+ }//for b...
+ if (!aFound)
+ {
+ myNear.Append(aNear);
+ aDiffs.Append(aDiff);
+ }
+ }
+ }//for a...
+}
+
+//=======================================================================
+//function : Copy
+//purpose :
+//=======================================================================
+GEOMImpl_Fillet1dPoint* GEOMImpl_Fillet1dPoint::Copy()
+{
+ GEOMImpl_Fillet1dPoint* aCopy = new GEOMImpl_Fillet1dPoint(myParam);
+ Standard_Integer a;
+ for(a = 1; a <= myV.Length(); a++)
+ {
+ aCopy->myV.Append(myV.Value(a));
+ aCopy->myD.Append(myD.Value(a));
+ aCopy->myValid.Append(myValid.Value(a));
+ }
+ return aCopy;
+}
+
+//=======================================================================
+//function : HasSolution
+//purpose :
+//=======================================================================
+Standard_Integer GEOMImpl_Fillet1dPoint::HasSolution(const Standard_Real theRadius)
+{
+ Standard_Integer a;
+ for(a = 1; a <= myV.Length(); a++)
+ {
+ if (fabs(sqrt(fabs(fabs(myV.Value(a)) + theRadius * theRadius)) - theRadius) < Precision::Confusion() / 10.)
+ return a;
+ }
+ return 0;
+}
+
+//=======================================================================
+//function : RemoveSolution
+//purpose :
+//=======================================================================
+void GEOMImpl_Fillet1dPoint::RemoveSolution(Standard_Integer theIndex)
+{
+ myV.Remove(theIndex);
+ myD.Remove(theIndex);
+ myValid.Remove(theIndex);
+ myNear.Remove(theIndex);
+}
+
+
+
+
+//=======================================================================
+//function : addEdgeRelation
+//purpose : local function to remember relation between initial and modified edge
+//=======================================================================
+static void addEdgeRelation(TopTools_DataMapOfShapeShape& theMap,
+ const TopoDS_Edge& theInitE,
+ const TopoDS_Edge& theResE)
+{
+ if ( theMap.IsBound( theInitE ) )
+ theMap.ChangeFind( theInitE ) = theResE;
+ else
+ theMap.Bind( theInitE, theResE );
+}
HYDROData_Canal3dAnd2d::HYDROData_Canal3dAnd2d(const TopoDS_Wire& Profile,
const TopoDS_Wire& Guideline)
- : myProfile(Profile), myGuideline(Guideline)
+ : myProfile(Profile), myOriginalGuideline(Guideline)
{
TopExp::Vertices(myProfile, myLeftVertex, myRightVertex);
+ gp_Pnt LeftPoint = BRep_Tool::Pnt(myLeftVertex);
+ gp_Pnt RightPoint = BRep_Tool::Pnt(myRightVertex);
+ myFilletRadius = (LeftPoint.Distance(RightPoint))/2.;
+
+ myTolAngular = 0.01;
+ MakeSharpVertexList();
+ if (!mySharpVertexList.IsEmpty())
+ MakeFillet();
ProjectWireOntoXOY(myGuideline, myProjectedGuideline);
Make2dProfile();
SetMiddlePoint3d();
}
+void HYDROData_Canal3dAnd2d::MakeSharpVertexList()
+{
+ TopTools_IndexedDataMapOfShapeListOfShape VEmap;
+ TopExp::MapShapesAndAncestors(myOriginalGuideline, TopAbs_VERTEX, TopAbs_EDGE, VEmap);
+
+ for (Standard_Integer i = 1; i <= VEmap.Extent(); i++)
+ {
+ const TopTools_ListOfShape& Elist = VEmap(i);
+ if (Elist.Extent() < 2)
+ continue;
+
+ const TopoDS_Vertex& CommonVertex = TopoDS::Vertex(VEmap.FindKey(i));
+ TopoDS_Edge E1 = TopoDS::Edge(Elist.First());
+ TopoDS_Edge E2 = TopoDS::Edge(Elist.Last());
+ TopoDS_Edge Edge1 = E1, Edge2 = E2;
+ TopoDS_Vertex V1, V2;
+ TopExp::Vertices(E1, V1, V2);
+ if (!V2.IsSame(CommonVertex))
+ { Edge1 = E2; Edge2 = E1; }
+ BRepAdaptor_Curve BAC1(Edge1);
+ BRepAdaptor_Curve BAC2(Edge2);
+ gp_Pnt aPoint;
+ gp_Vec Vec1, Vec2;
+ BAC1.D1( BAC1.LastParameter(), aPoint, Vec1 );
+ BAC2.D1( BAC2.FirstParameter(), aPoint, Vec2 );
+ Standard_Real theAngle = Vec1.Angle(Vec2);
+ if (theAngle > myTolAngular)
+ mySharpVertexList.Append(CommonVertex);
+ }
+}
+
+Standard_Boolean HYDROData_Canal3dAnd2d::MakeFillet()
+{
+ //Standard_Boolean isAllStepsOk = true;
+
+ TopTools_DataMapOfShapeShape anEdgeToEdgeMap;
+
+ //iterates on vertices, and make fillet on each couple of edges
+ //collect result fillet edges in list
+ TopTools_ListOfShape aListOfNewEdge;
+ // remember relation between initial and modified map
+ TopTools_IndexedDataMapOfShapeListOfShape aMapVToEdges;
+ TopExp::MapShapesAndAncestors( myOriginalGuideline, TopAbs_VERTEX, TopAbs_EDGE, aMapVToEdges );
+ TopTools_ListIteratorOfListOfShape anIt( mySharpVertexList );
+ for ( ; anIt.More(); anIt.Next() ) {
+ TopoDS_Vertex aV = TopoDS::Vertex( anIt.Value() );
+ const TopTools_ListOfShape& aVertexEdges = aMapVToEdges.FindFromKey( aV );
+ if ( aVertexEdges.Extent() != 2 )
+ continue; // no input data to make fillet
+ TopoDS_Edge anEdge1 = TopoDS::Edge( aVertexEdges.First() );
+ TopoDS_Edge anEdge2 = TopoDS::Edge( aVertexEdges.Last() );
+ // check if initial edges already modified in previous fillet operation
+ if ( anEdgeToEdgeMap.IsBound( anEdge1 ) ) anEdge1 = TopoDS::Edge(anEdgeToEdgeMap.Find( anEdge1 ));
+ if ( anEdgeToEdgeMap.IsBound( anEdge2 ) ) anEdge2 = TopoDS::Edge(anEdgeToEdgeMap.Find( anEdge2 ));
+ if ( anEdge1.IsNull() || anEdge2.IsNull() || anEdge1.IsSame( anEdge2 ) )
+ continue; //no input data to make fillet
+
+ // create plane on 2 edges
+ gp_Pln aPlane;
+ TopoDS_Wire LocalWire = BRepLib_MakeWire(anEdge1, anEdge2);
+ //if ( !takePlane(anEdge1, anEdge2, aV, aPlane) )
+ if (!PlaneOfWire(LocalWire, aPlane))
+ return Standard_False; // seems edges does not belong to same plane or parallel (fillet can not be build)
+
+ GEOMImpl_Fillet1d aFilletAlgo (anEdge1, anEdge2, aPlane);
+ if (!aFilletAlgo.Perform(myFilletRadius)) {
+ return Standard_False; //can not create fillet at this vertex with given radius
+ }
+
+ // take fillet result in given vertex
+ TopoDS_Edge aModifE1, aModifE2;
+ TopoDS_Edge aNewE = aFilletAlgo.Result(BRep_Tool::Pnt(aV), aModifE1, aModifE2);
+ if (aNewE.IsNull()) {
+ return Standard_False; //fillet failed at this vertex
+ }
+
+ // add new created edges and take modified edges
+ aListOfNewEdge.Append(aNewE);
+
+ // check if wire edges modified,
+ // if yes, then map to original edges (from vertex-edges list), because edges can be modified before
+ if (aModifE1.IsNull() || !anEdge1.IsSame( aModifE1 ))
+ addEdgeRelation( anEdgeToEdgeMap, TopoDS::Edge(aVertexEdges.First()), aModifE1 );
+ if (aModifE2.IsNull() || !anEdge2.IsSame( aModifE2 ))
+ addEdgeRelation( anEdgeToEdgeMap, TopoDS::Edge(aVertexEdges.Last()), aModifE2 );
+ }
+
+ if (anEdgeToEdgeMap.IsEmpty() && aListOfNewEdge.IsEmpty()) {
+ return Standard_False; //fillet can't be computed on the given shape with the given radius
+ }
+
+ // create new wire instead of original
+ BRepLib_MakeWire MW;
+ TopExp_Explorer anExp(myOriginalGuideline, TopAbs_EDGE);
+ TopoDS_Edge aFirstEdge = TopoDS::Edge(anExp.Current());
+ if (anEdgeToEdgeMap.IsBound(aFirstEdge))
+ aFirstEdge = TopoDS::Edge(anEdgeToEdgeMap(aFirstEdge));
+ MW.Add(aFirstEdge);
+
+ for (anExp.Next(); anExp.More(); anExp.Next()) {
+ TopoDS_Shape anEdge = anExp.Current();
+ if (!anEdgeToEdgeMap.IsBound(anEdge))
+ aListOfNewEdge.Append(anEdge);
+ else if (!anEdgeToEdgeMap.Find(anEdge).IsNull())
+ aListOfNewEdge.Append(anEdgeToEdgeMap.Find(anEdge));
+ }
+
+ MW.Add(aListOfNewEdge);
+
+ myGuideline = MW.Wire();
+
+ return Standard_True;
+}
+
Standard_Boolean HYDROData_Canal3dAnd2d::ProjectWireOntoXOY(const TopoDS_Wire& aWire,
TopoDS_Wire& ProjectedWire)
{
TopExp::Vertices(aGuideline, FirstOnGuide, LastOnGuide);
gp_Pnt StartPointOnGuide = BRep_Tool::Pnt(FirstOnGuide);
+ //gp_Vec Offset(myMiddlePoint3d, StartPointOnGuide);
gp_Trsf Translation, Rotation;
Translation.SetTranslation(aMiddlePoint, StartPointOnGuide);
- aTransformedProfile =
- TopoDS::Wire(BRepBuilderAPI_Transform(aProfile, Translation, Standard_True)); //copy
+ aTransformedProfile = TopoDS::Wire(BRepBuilderAPI_Transform(aProfile, Translation, Standard_True)); //copy
gp_Vec Vertical(0.,0.,1.);
TopoDS_Vertex LeftVertex, RightVertex;
Rotation.SetRotation(theAxis, theAngle);
}
- aTransformedProfile =
- TopoDS::Wire(BRepBuilderAPI_Transform(aTransformedProfile, Rotation, Standard_True)); //copy
-
+ aTransformedProfile = TopoDS::Wire(BRepBuilderAPI_Transform(aTransformedProfile, Rotation, Standard_True)); //copy
return aTransformedProfile;
}
{
return GetBank(myRightVertex2d);
}
+
+/*TopoDS_Wire HYDROData_Canal3dAnd2d::GetRoundedGuideline()
+{
+ return myGuideline;
+}
+
+TopoDS_Wire HYDROData_Canal3dAnd2d::GetProjectedRoundedGuideline()
+{
+ return myProjectedGuideline;
+}
+*/
\ No newline at end of file
