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[modules/shaper.git] / src / GeomAPI / GeomAPI_Edge.cpp
index 0a590bd9909a3de505c52741e7975800d5ad8678..1126cfdcb029c8a2ce7fef41f3ef9a083592e95d 100644 (file)
@@ -1,8 +1,21 @@
-// 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>
@@ -10,6 +23,9 @@
 #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.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>
 
@@ -44,23 +71,83 @@ 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)))
-  {
+  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;
@@ -73,8 +160,7 @@ bool GeomAPI_Edge::isArc() 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)))
-  {
+  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;
@@ -82,6 +168,30 @@ bool GeomAPI_Edge::isArc() const
   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>();
@@ -102,25 +212,42 @@ std::shared_ptr<GeomAPI_Pnt> GeomAPI_Edge::lastPoint()
   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);
-  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_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_Lin> GeomAPI_Edge::line()
+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;
@@ -159,40 +286,56 @@ bool GeomAPI_Edge::isEqual(const std::shared_ptr<GeomAPI_Shape> theEdge) const
   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);
@@ -205,24 +348,74 @@ bool GeomAPI_Edge::isInPlane(std::shared_ptr<GeomAPI_Pln> thePlane) const
     gp_Pnt aLastPnt = aCurve->Value(aLast);
     inPlane = aPlane.SquareDistance(aFirstPnt) < Precision::SquareConfusion() &&
               aPlane.SquareDistance(aLastPnt) < Precision::SquareConfusion();
-  } else if (aCurve->IsKind(STANDARD_TYPE(Geom_Circle))) {
-    // check the center on the plane and normals are collinear
-    Handle(Geom_Circle) aCirc = Handle(Geom_Circle)::DownCast(aCurve);
-    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();
+    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
 {
@@ -231,3 +424,79 @@ double GeomAPI_Edge::length() const
   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;
+}