0029711: General Fuse operation produces invalid result

The following improvements have been introduced in Boolean Operations algorithm s:
1. UBTree is replaced with EBTree in Boolean operations to be able to add/remove elements into the tree of bounding boxes.
2. Repeated (nested) intersection of sub-shapes is performed with argument vertices whose tolerances increased during the operation.
3. The algorithms of Edge/Edge and Edge/Face intersection have been improved for the cases when the intersection point is located close to the edge boundaries .
4. New procedure has been implemented to ensure forced creation of Edge/Face common blocks in cases when the edge is really close to the face.
5. Post-processing of Face/Face intersection results has been improved.
6. Extension of the planar faces for Plane/Plane intersection is avoided.
7. Builder Face now better classifies potentially internal edges relatively to new faces with filtering by bounding boxes.

Side effect changes:
1. IntTools_ShrunkRange now keeps the length of the valid range of the edge.
2. The method BOPDS_DS::UpdateEdgeTolerance() has been removed as unused (replaced by the BOPAlgo_PaveFiller::UpdateEdgeTolerance()).

Test case for the issue 0029900.
Test case for the issue 0029711.
Adjustments of the existing test cases.

Avoid using uninitialized variables.

src/IntTools/IntTools_Context.cxx

@@ -581,8 +581,8 @@ Standard_Integer IntTools_Context::ComputePE
       {
         gp_Pnt aPV = BRep_Tool::Pnt(aV);
         aTolSum = aTolP1 + BRep_Tool::Tolerance(aV) + Precision::Confusion();
-        Standard_Real aDist1 = aP1.SquareDistance(aPV);
-        if (aDist1 < aDist && aDist1 < Square(aTolSum))
+        Standard_Real aDist1 = aP1.Distance(aPV);
+        if (aDist1 < aDist && aDist1 < aTolSum)
         {
           aDist = aDist1;
           aT = BRep_Tool::Parameter(aV, aEFwd);

src/IntTools/IntTools_EdgeFace.cxx

@@ -352,11 +352,6 @@ Standard_Boolean IntTools_EdgeFace::CheckTouch
   (const IntTools_CommonPrt& aCP,
    Standard_Real&            aTx) 
 {
-  if (myC.GetType() == GeomAbs_Line &&
-      myS.GetType() == GeomAbs_Plane) {
-    return Standard_False;
-  }
-  //
   Standard_Real aTF, aTL, Tol, U1f, U1l, V1f, V1l, af, al,aDist2, aMinDist2;
   Standard_Boolean theflag=Standard_False;
   Standard_Integer aNbExt, iLower;

src/IntTools/IntTools_FaceFace.cxx

@@ -425,11 +425,9 @@ void IntTools_FaceFace::Perform(const TopoDS_Face& aF1,
     Standard_Real umin, umax, vmin, vmax;
     //
     myContext->UVBounds(myFace1, umin, umax, vmin, vmax);
-    CorrectPlaneBoundaries(umin, umax, vmin, vmax);
     myHS1->ChangeSurface().Load(S1, umin, umax, vmin, vmax);
     //
     myContext->UVBounds(myFace2, umin, umax, vmin, vmax);
-    CorrectPlaneBoundaries(umin, umax, vmin, vmax);
     myHS2->ChangeSurface().Load(S2, umin, umax, vmin, vmax);
     //
     Standard_Real TolAng = 1.e-8;

src/IntTools/IntTools_ShrunkRange.cxx

@@ -34,6 +34,7 @@
   myTS2=myT1;
   myIsDone=Standard_False;
   myIsSplittable=Standard_False;
+  myLength = 0.0;
 }
 //=======================================================================
 //function : ~
@@ -59,6 +60,7 @@ void IntTools_ShrunkRange::SetData(const TopoDS_Edge& aE,
   myT2=aT2;
   myIsDone=Standard_False;
   myIsSplittable=Standard_False;
+  myLength = 0.0;
 }
 //=======================================================================
 //function : SetContext
@@ -178,9 +180,8 @@ void IntTools_ShrunkRange::Perform()
   if (aPTolE > aPTolEMin) {
     aPTolE = aPTolEMin;
   }
-  Standard_Real anEdgeLength =
-    GCPnts_AbscissaPoint::Length(aBAC, myTS1, myTS2, aPTolE);
-  if (anEdgeLength < aDTol) {
+  myLength = GCPnts_AbscissaPoint::Length(aBAC, myTS1, myTS2, aPTolE);
+  if (myLength < aDTol) {
     // micro edge
     return;
   }
@@ -192,11 +193,10 @@ void IntTools_ShrunkRange::Perform()
   // for the edge to have possibility to be split at least once:
   // 2*TolE - minimal diameter of tolerance sphere of splitting vertex
   // 2*Precision::Confusion() - minimal length of the new edges
-  if (anEdgeLength > (2 * aTolE + 2 * aDTol)) {
+  if (myLength > (2 * aTolE + 2 * aDTol)) {
     myIsSplittable = Standard_True;
   }
   //
   // build bounding box for the edge on the shrunk range
-  BndLib_Add3dCurve::Add(aBAC, myTS1, myTS2,
-      aTolE + aDTol, myBndBox);
+  BndLib_Add3dCurve::Add(aBAC, myTS1, myTS2, aTolE + aDTol, myBndBox);
 }

src/IntTools/IntTools_ShrunkRange.hxx

@@ -74,6 +74,9 @@ Standard_EXPORT virtual ~IntTools_ShrunkRange();
     return myIsSplittable;
   }
 
+  //! Returns the length of the edge if computed.
+  Standard_Real Length() const { return myLength; }
+
 protected:
 
   TopoDS_Edge myEdge;
@@ -87,6 +90,7 @@ protected:
   Handle(IntTools_Context) myCtx;
   Standard_Boolean myIsDone;
   Standard_Boolean myIsSplittable;
+  Standard_Real myLength;
 
 private: