-// Copyright (C) 2014-20xx CEA/DEN, EDF R&D
-
-// File: GeomAPI_Edge.cpp
-// Created: 24 Jul 2014
-// Author: Artem ZHIDKOV
+// Copyright (C) 2014-2023 CEA, EDF
+//
+// This library is free software; you can redistribute it and/or
+// modify it under the terms of the GNU Lesser General Public
+// License as published by the Free Software Foundation; either
+// version 2.1 of the License, or (at your option) any later version.
+//
+// This library is distributed in the hope that it will be useful,
+// but WITHOUT ANY WARRANTY; without even the implied warranty of
+// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
+// Lesser General Public License for more details.
+//
+// You should have received a copy of the GNU Lesser General Public
+// License along with this library; if not, write to the Free Software
+// Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
+//
+// See http://www.salome-platform.org/ or email : webmaster.salome@opencascade.com
+//
#include<GeomAPI_Edge.h>
+#include<GeomAPI_Pln.h>
#include<GeomAPI_Pnt.h>
#include<GeomAPI_Circ.h>
#include<GeomAPI_Dir.h>
+#include<GeomAPI_Lin.h>
+#include<GeomAPI_Ax2.h>
+#include<GeomAPI_Ellipse.h>
+#include<GeomAPI_Vertex.h>
+
+#include <BRepAdaptor_Curve.hxx>
#include <TopoDS_Shape.hxx>
#include <TopoDS_Edge.hxx>
#include <TopoDS.hxx>
+#include <BRep_Builder.hxx>
#include <BRep_Tool.hxx>
+#include <ElCLib.hxx>
+#include <GCPnts_UniformAbscissa.hxx>
+#include <Geom_BSplineCurve.hxx>
#include <Geom_Curve.hxx>
#include <Geom_Line.hxx>
#include <Geom_Circle.hxx>
+#include <Geom_TrimmedCurve.hxx>
+#include <Geom_Ellipse.hxx>
+#include <Geom_Plane.hxx>
+#include <GeomAPI_ExtremaCurveCurve.hxx>
+#include <GeomAPI_ExtremaCurveSurface.hxx>
+#include <GeomAPI_IntCS.hxx>
#include <GeomAdaptor_Curve.hxx>
#include <gp_Ax1.hxx>
+#include <gp_Pln.hxx>
+#include <gp_Elips.hxx>
+#include <TopExp.hxx>
+
+#include <GCPnts_AbscissaPoint.hxx>
GeomAPI_Edge::GeomAPI_Edge()
- : GeomAPI_Shape()
{
+ TopoDS_Edge* anEdge = new TopoDS_Edge;
+
+ BRep_Builder aBuilder;
+ aBuilder.MakeEdge(*anEdge);
+
+ setImpl(anEdge);
}
GeomAPI_Edge::GeomAPI_Edge(const std::shared_ptr<GeomAPI_Shape>& theShape)
}
}
+void GeomAPI_Edge::vertices(std::shared_ptr<GeomAPI_Vertex>& theStartVertex,
+ std::shared_ptr<GeomAPI_Vertex>& theEndVertex) const
+{
+ const TopoDS_Edge& anEdge = impl<TopoDS_Edge>();
+ TopoDS_Vertex aStart, aEnd;
+ TopExp::Vertices(anEdge, aStart, aEnd);
+ theStartVertex.reset(new GeomAPI_Vertex);
+ theStartVertex->setImpl(new TopoDS_Vertex(aStart));
+ theEndVertex.reset(new GeomAPI_Vertex);
+ theEndVertex->setImpl(new TopoDS_Vertex(aEnd));
+}
+
+static Handle(Geom_Curve) baseCurve(const TopoDS_Edge& theEdge)
+{
+ double aFirst, aLast;
+ Handle(Geom_Curve) aCurve = BRep_Tool::Curve(theEdge, aFirst, aLast);
+ while (aCurve->IsKind(STANDARD_TYPE(Geom_TrimmedCurve))) {
+ Handle(Geom_TrimmedCurve) tc = Handle(Geom_TrimmedCurve)::DownCast(aCurve);
+ aCurve = tc->BasisCurve();
+ }
+ return aCurve;
+}
+
+bool GeomAPI_Edge::isSameGeometry(const std::shared_ptr<GeomAPI_Shape> theShape) const
+{
+ if (!theShape->isEdge())
+ return false;
+ if (isSame(theShape))
+ return true;
+
+ TopoDS_Edge anOwnEdge = TopoDS::Edge(impl<TopoDS_Shape>());
+ TopoDS_Edge anOtherEdge = TopoDS::Edge(theShape->impl<TopoDS_Shape>());
+
+ Handle(Geom_Curve) anOwnCurve = baseCurve(anOwnEdge);
+ Handle(Geom_Curve) anOtherCurve = baseCurve(anOtherEdge);
+ GeomAPI_ExtremaCurveCurve anExtrema(anOwnCurve, anOtherCurve);
+
+ bool isSame = anExtrema.Extrema().IsParallel() &&
+ anExtrema.TotalLowerDistance() < Precision::Confusion();
+ return isSame;
+}
+
bool GeomAPI_Edge::isLine() const
{
const TopoDS_Shape& aShape = const_cast<GeomAPI_Edge*>(this)->impl<TopoDS_Shape>();
double aFirst, aLast;
Handle(Geom_Curve) aCurve = BRep_Tool::Curve((const TopoDS_Edge&)aShape, aFirst, aLast);
+ if (aCurve.IsNull()) // degenerative edge
+ return false;
if (aCurve->IsKind(STANDARD_TYPE(Geom_Line)))
return true;
return false;
}
+/// extracts a circle curve from the arbitrary curve, returns null is it is different type
+static Handle(Geom_Circle) circ(const Handle(Geom_Curve) theCurve)
+{
+ Handle(Geom_Circle) aResult = Handle(Geom_Circle)::DownCast(theCurve);
+ if (!aResult.IsNull())
+ return aResult;
+ // check this may be a trimmed curve that contains circle inside
+ Handle(Geom_TrimmedCurve) aTrimmed = Handle(Geom_TrimmedCurve)::DownCast(theCurve);
+ while(!aTrimmed.IsNull()) {
+ aResult = Handle(Geom_Circle)::DownCast(aTrimmed->BasisCurve());
+ if (!aResult.IsNull())
+ return aResult;
+ aTrimmed = Handle(Geom_TrimmedCurve)::DownCast(aTrimmed->BasisCurve());
+ }
+ return aResult; // null, not circle
+}
+
bool GeomAPI_Edge::isCircle() const
{
const TopoDS_Shape& aShape = const_cast<GeomAPI_Edge*>(this)->impl<TopoDS_Shape>();
double aFirst, aLast;
Handle(Geom_Curve) aCurve = BRep_Tool::Curve((const TopoDS_Edge&)aShape, aFirst, aLast);
- if (aCurve->IsKind(STANDARD_TYPE(Geom_Circle)) && aCurve->IsClosed())
- return true;
+ if (!circ(aCurve).IsNull()) {
+ // Check the difference of first and last parameters to be equal to the curve period
+ if (Abs(aLast - aFirst - aCurve->Period()) < Precision::PConfusion())
+ return true;
+ }
return false;
}
const TopoDS_Shape& aShape = const_cast<GeomAPI_Edge*>(this)->impl<TopoDS_Shape>();
double aFirst, aLast;
Handle(Geom_Curve) aCurve = BRep_Tool::Curve((const TopoDS_Edge&)aShape, aFirst, aLast);
- if (aCurve->IsKind(STANDARD_TYPE(Geom_Circle)) && !aCurve->IsClosed())
- return true;
+ if (!circ(aCurve).IsNull()) {
+ // Check the difference of first and last parameters is not equal the curve period
+ if (Abs(aLast - aFirst - aCurve->Period()) >= Precision::PConfusion())
+ return true;
+ }
return false;
}
+bool GeomAPI_Edge::isEllipse() const
+{
+ const TopoDS_Shape& aShape = const_cast<GeomAPI_Edge*>(this)->impl<TopoDS_Shape>();
+ double aFirst, aLast;
+ Handle(Geom_Curve) aCurve = BRep_Tool::Curve((const TopoDS_Edge&)aShape, aFirst, aLast);
+ if (aCurve.IsNull()) // degenerative edge
+ return false;
+ while (aCurve->IsKind(STANDARD_TYPE(Geom_TrimmedCurve)))
+ aCurve = Handle(Geom_TrimmedCurve)::DownCast(aCurve)->BasisCurve();
+ return aCurve->IsKind(STANDARD_TYPE(Geom_Ellipse));
+}
+
+bool GeomAPI_Edge::isBSpline() const
+{
+ const TopoDS_Shape& aShape = const_cast<GeomAPI_Edge*>(this)->impl<TopoDS_Shape>();
+ double aFirst, aLast;
+ Handle(Geom_Curve) aCurve = BRep_Tool::Curve((const TopoDS_Edge&)aShape, aFirst, aLast);
+ if (aCurve.IsNull()) // degenerative edge
+ return false;
+ while (aCurve->IsKind(STANDARD_TYPE(Geom_TrimmedCurve)))
+ aCurve = Handle(Geom_TrimmedCurve)::DownCast(aCurve)->BasisCurve();
+ return aCurve->IsKind(STANDARD_TYPE(Geom_BSplineCurve));
+}
+
std::shared_ptr<GeomAPI_Pnt> GeomAPI_Edge::firstPoint()
{
const TopoDS_Shape& aShape = const_cast<GeomAPI_Edge*>(this)->impl<TopoDS_Shape>();
return std::shared_ptr<GeomAPI_Pnt>(new GeomAPI_Pnt(aPoint.X(), aPoint.Y(), aPoint.Z()));
}
-std::shared_ptr<GeomAPI_Circ> GeomAPI_Edge::circle()
+std::shared_ptr<GeomAPI_Circ> GeomAPI_Edge::circle() const
+{
+ const TopoDS_Shape& aShape = const_cast<GeomAPI_Edge*>(this)->impl<TopoDS_Shape>();
+ double aFirst, aLast;
+ Handle(Geom_Curve) aCurve = BRep_Tool::Curve((const TopoDS_Edge&)aShape, aFirst, aLast);
+ Handle(Geom_Circle) aCirc = circ(aCurve);
+ if (!aCirc.IsNull()) {
+ gp_Pnt aLoc = aCirc->Location();
+ std::shared_ptr<GeomAPI_Pnt> aCenter(new GeomAPI_Pnt(aLoc.X(), aLoc.Y(), aLoc.Z()));
+ gp_Dir anAxis = aCirc->Axis().Direction();
+ std::shared_ptr<GeomAPI_Dir> aDir(new GeomAPI_Dir(anAxis.X(), anAxis.Y(), anAxis.Z()));
+ return std::shared_ptr<GeomAPI_Circ>(new GeomAPI_Circ(aCenter, aDir, aCirc->Radius()));
+ }
+ return std::shared_ptr<GeomAPI_Circ>(); // not circle
+}
+
+std::shared_ptr<GeomAPI_Ellipse> GeomAPI_Edge::ellipse() const
+{
+ const TopoDS_Shape& aShape = const_cast<GeomAPI_Edge*>(this)->impl<TopoDS_Shape>();
+ double aFirst, aLast;
+ Handle(Geom_Curve) aCurve = BRep_Tool::Curve((const TopoDS_Edge&)aShape, aFirst, aLast);
+ if (!aCurve.IsNull()) {
+ while (aCurve->IsKind(STANDARD_TYPE(Geom_TrimmedCurve)))
+ aCurve = Handle(Geom_TrimmedCurve)::DownCast(aCurve)->BasisCurve();
+ Handle(Geom_Ellipse) aElips = Handle(Geom_Ellipse)::DownCast(aCurve);
+ if (!aElips.IsNull()) {
+ gp_Elips aGpElips = aElips->Elips();
+ std::shared_ptr<GeomAPI_Ellipse> aEllipse(new GeomAPI_Ellipse());
+ aEllipse->setImpl(new gp_Elips(aGpElips));
+ return aEllipse;
+ }
+ }
+ return std::shared_ptr<GeomAPI_Ellipse>(); // not ellipse
+}
+
+std::shared_ptr<GeomAPI_Lin> GeomAPI_Edge::line() const
{
const TopoDS_Shape& aShape = const_cast<GeomAPI_Edge*>(this)->impl<TopoDS_Shape>();
double aFirst, aLast;
Handle(Geom_Curve) aCurve = BRep_Tool::Curve((const TopoDS_Edge&)aShape, aFirst, aLast);
if (aCurve) {
- Handle(Geom_Circle) aCirc = Handle(Geom_Circle)::DownCast(aCurve);
- if (aCirc) {
- gp_Pnt aLoc = aCirc->Location();
- std::shared_ptr<GeomAPI_Pnt> aCenter(new GeomAPI_Pnt(aLoc.X(), aLoc.Y(), aLoc.Z()));
- gp_Dir anAxis = aCirc->Axis().Direction();
- std::shared_ptr<GeomAPI_Dir> aDir(new GeomAPI_Dir(anAxis.X(), anAxis.Y(), anAxis.Z()));
- return std::shared_ptr<GeomAPI_Circ>(new GeomAPI_Circ(aCenter, aDir, aCirc->Radius()));
+ Handle(Geom_Line) aLine = Handle(Geom_Line)::DownCast(aCurve);
+ if (aLine) {
+ gp_Pnt aStartPnt = aLine->Value(aFirst);
+ std::shared_ptr<GeomAPI_Pnt> aStart(
+ new GeomAPI_Pnt(aStartPnt.X(), aStartPnt.Y(), aStartPnt.Z()));
+ gp_Pnt aEndPnt = aLine->Value(aLast);
+ std::shared_ptr<GeomAPI_Pnt> aEnd(
+ new GeomAPI_Pnt(aEndPnt.X(), aEndPnt.Y(), aEndPnt.Z()));
+ return std::shared_ptr<GeomAPI_Lin>(new GeomAPI_Lin(aStart, aEnd));
}
}
- return std::shared_ptr<GeomAPI_Circ>(); // not circle
+ return std::shared_ptr<GeomAPI_Lin>(); // not circle
}
-bool GeomAPI_Edge::isEqual(std::shared_ptr<GeomAPI_Shape> theEdge)
+bool GeomAPI_Edge::isEqual(const std::shared_ptr<GeomAPI_Shape> theEdge) const
{
+ if (!theEdge.get() || ! theEdge->isEdge())
+ return false;
const TopoDS_Shape& aMyShape = const_cast<GeomAPI_Edge*>(this)->impl<TopoDS_Shape>();
const TopoDS_Shape& aInShape = theEdge->impl<TopoDS_Shape>();
-
+
+ if (aMyShape.IsNull() || aInShape.IsNull())
+ return false;
+
+ if (aMyShape.ShapeType() != aInShape.ShapeType())
+ return false;
+
double aMyStart, aMyEnd;
Handle(Geom_Curve) aMyCurve = BRep_Tool::Curve(TopoDS::Edge(aMyShape), aMyStart, aMyEnd);
double aInStart, aInEnd;
Handle(Geom_Curve) aInCurve = BRep_Tool::Curve(TopoDS::Edge(aInShape), aInStart, aInEnd);
+ // Check that end point parameters are the same
+ if ((aMyStart != aInStart) || (aMyEnd != aInEnd))
+ return false;
+
// Check that curves a the same type
GeomAdaptor_Curve aMyAdaptor(aMyCurve);
GeomAdaptor_Curve aInAdaptor(aInCurve);
if (aMyAdaptor.GetType() != aInAdaptor.GetType())
return false;
- // Check that end point parameters are the same
- if ((aMyStart != aInStart) || (aMyEnd != aInEnd))
- return false;
-
// Check that end points are equal
gp_Pnt aMyPnt1 = aMyAdaptor.Value(aMyStart);
gp_Pnt aMyPnt2 = aMyAdaptor.Value(aMyEnd);
gp_Pnt aInPnt1 = aInAdaptor.Value(aInStart);
gp_Pnt aInPnt2 = aInAdaptor.Value(aInEnd);
- if ((!aMyPnt1.IsEqual(aInPnt1, Precision::Confusion())) ||
+ if ((!aMyPnt1.IsEqual(aInPnt1, Precision::Confusion())) ||
(!aMyPnt2.IsEqual(aInPnt2, Precision::Confusion())))
return false;
return true;
}
+
+void GeomAPI_Edge::setRange(const double& theFirst, const double& theLast)
+{
+ TopoDS_Edge anEdge = impl<TopoDS_Edge>();
+ double aFirst, aLast;
+ Handle(Geom_Curve) aCurve = BRep_Tool::Curve(anEdge, aFirst, aLast);
+ double aTolerance = BRep_Tool::Tolerance(anEdge);
+ if (aCurve->DynamicType() == STANDARD_TYPE(Geom_TrimmedCurve)) {
+ aCurve = Handle(Geom_TrimmedCurve)::DownCast(aCurve)->BasisCurve();
+ BRep_Builder().UpdateEdge(anEdge, aCurve, aTolerance);
+ }
+ BRep_Builder().Range(anEdge, theFirst, theLast);
+}
+
+void GeomAPI_Edge::getRange(double& theFirst, double& theLast) const
+{
+ const TopoDS_Shape& aShape = const_cast<GeomAPI_Edge*>(this)->impl<TopoDS_Shape>();
+ Handle(Geom_Curve) aCurve = BRep_Tool::Curve((const TopoDS_Edge&)aShape, theFirst, theLast);
+}
+
+// LCOV_EXCL_START
+bool GeomAPI_Edge::isInPlane(std::shared_ptr<GeomAPI_Pln> thePlane) const
+{
+ double aFirst, aLast;
+ const TopoDS_Shape& aShape = const_cast<GeomAPI_Edge*>(this)->impl<TopoDS_Shape>();
+ Handle(Geom_Curve) aCurve = BRep_Tool::Curve((const TopoDS_Edge&)aShape, aFirst, aLast);
+ if (aCurve.IsNull())
+ return false;
+
+ double A, B, C, D;
+ thePlane->coefficients(A, B, C, D);
+ gp_Pln aPlane(A, B, C, D);
+
+ bool inPlane = false;
+ if (aCurve->IsKind(STANDARD_TYPE(Geom_Line))) {
+ // check start and end points on the plane
+ gp_Pnt aFirstPnt = aCurve->Value(aFirst);
+ gp_Pnt aLastPnt = aCurve->Value(aLast);
+ inPlane = aPlane.SquareDistance(aFirstPnt) < Precision::SquareConfusion() &&
+ aPlane.SquareDistance(aLastPnt) < Precision::SquareConfusion();
+ } else {
+ Handle(Geom_Circle) aCirc = circ(aCurve);
+ if (!aCirc.IsNull()) {
+ gp_Pnt aCenter = aCirc->Location();
+ Standard_Real aDot = aPlane.Axis().Direction().Dot(aCirc->Axis().Direction());
+ inPlane = aPlane.SquareDistance(aCenter) < Precision::SquareConfusion() &&
+ Abs(Abs(aDot) - 1.0) < Precision::Confusion();
+ } else {
+ // three points checking
+ gp_Pnt aFirstPnt = aCurve->Value(aFirst);
+ gp_Pnt aMidPnt = aCurve->Value((aFirst + aLast) / 2.);
+ gp_Pnt aLastPnt = aCurve->Value(aLast);
+ inPlane = aPlane.SquareDistance(aFirstPnt) < Precision::SquareConfusion() &&
+ aPlane.SquareDistance(aMidPnt) < Precision::SquareConfusion() &&
+ aPlane.SquareDistance(aLastPnt) < Precision::SquareConfusion();
+ }
+ }
+ return inPlane;
+}
+// LCOV_EXCL_STOP
+
+void GeomAPI_Edge::intersectWithPlane(const std::shared_ptr<GeomAPI_Pln> thePlane,
+ std::list<std::shared_ptr<GeomAPI_Pnt>>& theResult) const
+{
+ double aFirst, aLast;
+ const TopoDS_Shape& aShape = const_cast<GeomAPI_Edge*>(this)->impl<TopoDS_Shape>();
+ Handle(Geom_Curve) aCurve = BRep_Tool::Curve((const TopoDS_Edge&)aShape, aFirst, aLast);
+ if (!aCurve.IsNull()) {
+ double A, B, C, D;
+ thePlane->coefficients(A, B, C, D);
+ gp_Pln aPln(A, B, C, D);
+ Handle(Geom_Plane) aPlane = new Geom_Plane(aPln);
+
+ // intersect the plane with the curve
+ GeomAPI_IntCS aIntersect;
+ aIntersect.Perform(aCurve, aPlane);
+ if (aIntersect.IsDone() && (aIntersect.NbPoints() > 0)) {
+ gp_Pnt aPnt;
+ for (int i = 1; i <= aIntersect.NbPoints(); i++) {
+ // check the parameter of intersection in the edge range
+ aIntersect.Parameters(i, A, B, C);
+ if (aCurve->IsPeriodic())
+ C = ElCLib::InPeriod(C, aFirst, aFirst + aCurve->Period());
+ if (C < aFirst - Precision::PConfusion() || C > aLast + Precision::PConfusion())
+ continue;
+
+ // obtain intersection point
+ aPnt = aIntersect.Point(i);
+ std::shared_ptr<GeomAPI_Pnt> aPntPtr(new GeomAPI_Pnt(aPnt.X(), aPnt.Y(), aPnt.Z()));
+ theResult.push_back(aPntPtr);
+ }
+ }
+ else {
+ // find minimal distance between the plane and the curve
+ GeomAPI_ExtremaCurveSurface anExtrema(aCurve, aPlane);
+ double aTolerance = BRep_Tool::Tolerance(TopoDS::Edge(aShape));
+ if (anExtrema.NbExtrema() > 0 &&
+ !anExtrema.Extrema().IsParallel() &&
+ anExtrema.LowerDistance() < aTolerance) {
+ // distance is lower than tolerance => tangent case
+ gp_Pnt aPntC, aPntS;
+ anExtrema.NearestPoints(aPntC, aPntS);
+ std::shared_ptr<GeomAPI_Pnt> aPntPtr(new GeomAPI_Pnt(aPntS.X(), aPntS.Y(), aPntS.Z()));
+ theResult.push_back(aPntPtr);
+ }
+ }
+ }
+}
+
+double GeomAPI_Edge::length() const
+{
+ const TopoDS_Edge& anEdge = TopoDS::Edge(impl<TopoDS_Shape>());
+ BRepAdaptor_Curve aBRepAdaptor = BRepAdaptor_Curve(anEdge);
+ Adaptor3d_Curve* anAdaptor3d = &aBRepAdaptor;
+ return GCPnts_AbscissaPoint::Length(*anAdaptor3d);
+}
+
+bool GeomAPI_Edge::isClosed() const
+{
+ const TopoDS_Shape& aShape = const_cast<GeomAPI_Edge*>(this)->impl<TopoDS_Shape>();
+ if (aShape.IsNull())
+ return false;
+ double aFirst, aLast;
+ Handle(Geom_Curve) aCurve = BRep_Tool::Curve((const TopoDS_Edge&)aShape, aFirst, aLast);
+ if (aCurve.IsNull() || !aCurve->IsPeriodic())
+ return false;
+ aLast += aLast > aFirst ? -aCurve->Period() : aCurve->Period();;
+
+ return fabs(aFirst - aLast) < 1.e-9;
+}
+
+bool GeomAPI_Edge::isDegenerated() const
+{
+ const TopoDS_Shape& aShape = const_cast<GeomAPI_Edge*>(this)->impl<TopoDS_Shape>();
+ if (aShape.IsNull() || aShape.ShapeType() != TopAbs_EDGE)
+ return false;
+ return BRep_Tool::Degenerated(TopoDS::Edge(aShape));
+}
+
+void GeomAPI_Edge::setFirstPointTolerance(const double theTolerance)
+{
+ TopoDS_Edge anEdge = impl<TopoDS_Edge>();
+ TopoDS_Vertex aVFirst, aVLast;
+ TopExp::Vertices(anEdge, aVFirst, aVLast);
+ BRep_Builder().UpdateVertex(aVFirst, theTolerance);
+}
+
+void GeomAPI_Edge::setLastPointTolerance(const double theTolerance)
+{
+ TopoDS_Edge anEdge = impl<TopoDS_Edge>();
+ TopoDS_Vertex aVFirst, aVLast;
+ TopExp::Vertices(anEdge, aVFirst, aVLast);
+ BRep_Builder().UpdateVertex(aVLast, theTolerance);
+}
+
+double GeomAPI_Edge::firstPointTolerance() const
+{
+ TopoDS_Edge anEdge = impl<TopoDS_Edge>();
+ TopoDS_Vertex aVFirst, aVLast;
+ TopExp::Vertices(anEdge, aVFirst, aVLast);
+ return BRep_Tool::Tolerance(aVFirst);
+}
+
+double GeomAPI_Edge::lastPointTolerance() const
+{
+ TopoDS_Edge anEdge = impl<TopoDS_Edge>();
+ TopoDS_Vertex aVFirst, aVLast;
+ TopExp::Vertices(anEdge, aVFirst, aVLast);
+ return BRep_Tool::Tolerance(aVLast);
+}
+
+GeomPointPtr GeomAPI_Edge::middlePoint() const
+{
+ GeomPointPtr aMiddlePoint;
+
+ const TopoDS_Edge& anEdge = impl<TopoDS_Edge>();
+ if (anEdge.IsNull())
+ return aMiddlePoint;
+ double aFirst, aLast;
+ Handle(Geom_Curve) aCurve = BRep_Tool::Curve(anEdge, aFirst, aLast);
+ if (aCurve.IsNull())
+ return aMiddlePoint;
+
+ static const int NB_POINTS = 3;
+ GeomAdaptor_Curve aCurveAdaptor(aCurve, aFirst, aLast);
+ GCPnts_UniformAbscissa anAlgo(aCurveAdaptor, NB_POINTS);
+ if (anAlgo.IsDone()) {
+ gp_Pnt aPnt = aCurveAdaptor.Value(anAlgo.Parameter(2));
+ aMiddlePoint = GeomPointPtr(new GeomAPI_Pnt(aPnt.X(), aPnt.Y(), aPnt.Z()));
+ }
+ return aMiddlePoint;
+}