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 // Created by: Peter KURNEV
 // Copyright (c) 2010-2014 OPEN CASCADE SAS
 // Copyright (c) 2007-2010 CEA/DEN, EDF R&D, OPEN CASCADE
 // Copyright (c) 2003-2007 OPEN CASCADE, EADS/CCR, LIP6, CEA/DEN, CEDRAT,
 //                         EDF R&D, LEG, PRINCIPIA R&D, BUREAU VERITAS
 //
 // This file is part of Open CASCADE Technology software library.
 //
 // This library is free software; you can redistribute it and/or modify it under
 // the terms of the GNU Lesser General Public License version 2.1 as published
 // by the Free Software Foundation, with special exception defined in the file
 // OCCT_LGPL_EXCEPTION.txt. Consult the file LICENSE_LGPL_21.txt included in OCCT
 // distribution for complete text of the license and disclaimer of any warranty.
 //
 // Alternatively, this file may be used under the terms of Open CASCADE
 // commercial license or contractual agreement.
 
 #ifndef _BOPAlgo_PaveFiller_HeaderFile
 #define _BOPAlgo_PaveFiller_HeaderFile
 
 #include <Standard.hxx>
 #include <Standard_DefineAlloc.hxx>
 #include <Standard_Handle.hxx>
 
 #include <BOPAlgo_Algo.hxx>
 #include <BOPAlgo_GlueEnum.hxx>
 #include <BOPAlgo_SectionAttribute.hxx>
 #include <BOPDS_DataMapOfPaveBlockListOfPaveBlock.hxx>
 #include <BOPDS_IndexedDataMapOfPaveBlockListOfInteger.hxx>
 #include <BOPDS_IndexedDataMapOfShapeCoupleOfPaveBlocks.hxx>
 #include <BOPDS_IndexedMapOfPaveBlock.hxx>
 #include <BOPDS_ListOfPaveBlock.hxx>
 #include <BOPDS_MapOfPair.hxx>
 #include <BOPDS_MapOfPaveBlock.hxx>
 #include <BOPDS_PDS.hxx>
 #include <BOPDS_PIterator.hxx>
 #include <BOPDS_VectorOfCurve.hxx>
 #include <BOPTools_BoxTree.hxx>
 #include <IntSurf_ListOfPntOn2S.hxx>
 #include <IntTools_ShrunkRange.hxx>
 #include <NCollection_BaseAllocator.hxx>
 #include <Standard_Integer.hxx>
 #include <Standard_Real.hxx>
 #include <TColStd_DataMapOfIntegerInteger.hxx>
 #include <TColStd_DataMapOfIntegerListOfInteger.hxx>
 #include <TColStd_DataMapOfIntegerReal.hxx>
 #include <TColStd_ListOfInteger.hxx>
 #include <TColStd_MapOfInteger.hxx>
 #include <TopAbs_ShapeEnum.hxx>
 #include <TopTools_DataMapOfShapeInteger.hxx>
 #include <TopTools_IndexedDataMapOfShapeListOfShape.hxx>
 #include <TopTools_IndexedMapOfShape.hxx>
 #include <TopTools_ListOfShape.hxx>
 class IntTools_Context;
 class BOPDS_PaveBlock;
 class gp_Pnt;
 class BOPDS_Curve;
 class TopoDS_Vertex;
 class TopoDS_Edge;
 class TopoDS_Face;
 
 //!
 //! The class represents the Intersection phase of the
 //! Boolean Operations algorithm.<br>
 //! It performs the pairwise intersection of the sub-shapes of
 //! the arguments in the following order:<br>
 //! 1. Vertex/Vertex;<br>
 //! 2. Vertex/Edge;<br>
 //! 3. Edge/Edge;<br>
 //! 4. Vertex/Face;<br>
 //! 5. Edge/Face;<br>
 //! 6. Face/Face.<br>
 //!
 //! The results of intersection are stored into the Data Structure
 //! of the algorithm.<br>
 //!
 //! Additionally to the options provided by the parent class,
 //! the algorithm has the following options:<br>
 //! - *Section attributes* - allows to customize the intersection of the faces
 //!                          (avoid approximation or building 2d curves);<br>
 //! - *Safe processing mode* - allows to avoid modification of the input
 //!                            shapes during the operation (by default it is off);<br>
 //! - *Gluing options* - allows to speed up the calculation on the special
 //!                      cases, in which some sub-shapes are coincide.<br>
 //!
 //! The algorithm returns the following Warning statuses:
 //! - *BOPAlgo_AlertSelfInterferingShape* - in case some of the argument shapes are self-interfering shapes;
 //! - *BOPAlgo_AlertTooSmallEdge* - in case some edges of the input shapes have no valid range;
 //! - *BOPAlgo_AlertNotSplittableEdge* - in case some edges of the input shapes has such a small
 //!                                      valid range so it cannot be split;
 //! - *BOPAlgo_AlertBadPositioning* - in case the positioning of the input shapes leads to creation
 //!                                   of small edges;
 //! - *BOPAlgo_AlertIntersectionOfPairOfShapesFailed* - in case intersection of some of the
 //!                                                     sub-shapes has failed;
 //! - *BOPAlgo_AlertAcquiredSelfIntersection* - in case some sub-shapes of the argument become connected
 //!                                             through other shapes;
 //! - *BOPAlgo_AlertBuildingPCurveFailed* - in case building 2D curve for some of the edges
 //!                                         on the faces has failed.
 //!
 //! The algorithm returns the following Error alerts:
 //! - *BOPAlgo_AlertTooFewArguments* - in case there are no enough arguments to
 //!                      perform the operation;<br>
 //! - *BOPAlgo_AlertIntersectionFailed* - in case some unexpected error occurred;<br>
 //! - *BOPAlgo_AlertNullInputShapes* - in case some of the arguments are null shapes.<br>
 //!
 class BOPAlgo_PaveFiller  : public BOPAlgo_Algo
 {
 public:
 
   DEFINE_STANDARD_ALLOC
 
   
   Standard_EXPORT BOPAlgo_PaveFiller();
 
   Standard_EXPORT virtual ~BOPAlgo_PaveFiller();
   
   Standard_EXPORT BOPAlgo_PaveFiller(const Handle(NCollection_BaseAllocator)& theAllocator);
   
   Standard_EXPORT const BOPDS_DS& DS();
   
   Standard_EXPORT BOPDS_PDS PDS();
   
   Standard_EXPORT const BOPDS_PIterator& Iterator();
   
   //! Sets the arguments for operation
   void SetArguments (const TopTools_ListOfShape& theLS)
   {
     myArguments = theLS;
   }
 
   //! Adds the argument for operation
   void AddArgument(const TopoDS_Shape& theShape)
   {
     myArguments.Append(theShape);
   }
 
   //! Returns the list of arguments
   const TopTools_ListOfShape& Arguments() const
   {
     return myArguments;
   }
   
   Standard_EXPORT const Handle(IntTools_Context)& Context();
   
   Standard_EXPORT void SetSectionAttribute (const BOPAlgo_SectionAttribute& theSecAttr);
   
   //! Sets the flag that defines the mode of treatment.
   //! In non-destructive mode the argument shapes are not modified. Instead
   //! a copy of a sub-shape is created in the result if it is needed to be updated.
   Standard_EXPORT void SetNonDestructive(const Standard_Boolean theFlag);
   
   //! Returns the flag that defines the mode of treatment.
   //! In non-destructive mode the argument shapes are not modified. Instead
   //! a copy of a sub-shape is created in the result if it is needed to be updated.
   Standard_EXPORT Standard_Boolean NonDestructive() const;
 
   Standard_EXPORT virtual void Perform(const Message_ProgressRange& theRange = Message_ProgressRange()) Standard_OVERRIDE;
   
   
 
   //! Sets the glue option for the algorithm
   Standard_EXPORT void SetGlue(const BOPAlgo_GlueEnum theGlue);
   
   //! Returns the glue option of the algorithm
   Standard_EXPORT BOPAlgo_GlueEnum Glue() const;
 
   //! Sets the flag to avoid building of p-curves of edges on faces
   void SetAvoidBuildPCurve(const Standard_Boolean theValue)
   {
     myAvoidBuildPCurve = theValue;
   }
 
   //! Returns the flag to avoid building of p-curves of edges on faces
   Standard_Boolean IsAvoidBuildPCurve() const
   {
     return myAvoidBuildPCurve;
   }
 
 protected:
 
   typedef NCollection_DataMap
             <Handle(BOPDS_PaveBlock),
              Bnd_Box> BOPAlgo_DataMapOfPaveBlockBndBox;
 
   typedef NCollection_DataMap
             <Handle(BOPDS_PaveBlock),
              TColStd_ListOfInteger> BOPAlgo_DataMapOfPaveBlockListOfInteger;
 
   typedef NCollection_DataMap
             <Standard_Integer,
              BOPDS_MapOfPaveBlock> BOPAlgo_DataMapOfIntegerMapOfPaveBlock;
 
   //! Sets non-destructive mode automatically if an argument 
   //! contains a locked sub-shape (see TopoDS_Shape::Locked()).
   Standard_EXPORT void SetNonDestructive();
      
   Standard_EXPORT void SetIsPrimary(const Standard_Boolean theFlag);
    
   Standard_EXPORT Standard_Boolean IsPrimary() const;
 
   Standard_EXPORT virtual void PerformInternal(const Message_ProgressRange& theRange);
   
   Standard_EXPORT virtual void Clear() Standard_OVERRIDE;
   
   Standard_EXPORT virtual void Init(const Message_ProgressRange& theRange);
   
   Standard_EXPORT void Prepare(const Message_ProgressRange& theRange);
   
   Standard_EXPORT virtual void PerformVV(const Message_ProgressRange& theRange);
   
   Standard_EXPORT virtual void PerformVE(const Message_ProgressRange& theRange);
 
   //! Performs the intersection of the vertices with edges.
   Standard_EXPORT void IntersectVE(const BOPDS_IndexedDataMapOfPaveBlockListOfInteger& theVEPairs,
                                    const Message_ProgressRange& theRange,
                                    const Standard_Boolean bAddInterfs = Standard_True);
 
   //! Splits the Pave Blocks of the given edges with the extra paves.<br>
   //! The method also builds the shrunk data for the new pave blocks and
   //! in case there is no valid range on the pave block, the vertices of
   //! this pave block will be united making SD vertex.<br>
   //! Parameter <theAddInterfs> defines whether this interference will be added
   //! into common table of interferences or not.<br>
   //! If some of the Pave Blocks are forming the Common Blocks, the splits
   //! of the Pave Blocks will also form a Common Block.
   Standard_EXPORT void SplitPaveBlocks(const TColStd_MapOfInteger& theMEdges,
                                        const Standard_Boolean theAddInterfs);
 
   Standard_EXPORT virtual void PerformVF(const Message_ProgressRange& theRange);
   
   Standard_EXPORT virtual void PerformEE(const Message_ProgressRange& theRange);
   
   Standard_EXPORT virtual void PerformEF(const Message_ProgressRange& theRange);
   
   Standard_EXPORT virtual void PerformFF(const Message_ProgressRange& theRange);
   
   Standard_EXPORT void TreatVerticesEE();
   
   Standard_EXPORT void MakeSDVerticesFF(const TColStd_DataMapOfIntegerListOfInteger& aDMVLV,
                                         TColStd_DataMapOfIntegerInteger& theDMNewSD);
 
   Standard_EXPORT void MakeSplitEdges(const Message_ProgressRange& theRange);
   
   Standard_EXPORT void MakeBlocks(const Message_ProgressRange& theRange);
   
   Standard_EXPORT void MakePCurves(const Message_ProgressRange& theRange);
 
   Standard_EXPORT Standard_Integer MakeSDVertices(const TColStd_ListOfInteger& theVertIndices,
                                                   const Standard_Boolean theAddInterfs = 1);
   
   Standard_EXPORT void ProcessDE(const Message_ProgressRange& theRange);
   
   Standard_EXPORT void FillShrunkData (Handle(BOPDS_PaveBlock)& thePB);
   
   Standard_EXPORT void FillShrunkData (const TopAbs_ShapeEnum theType1,
                                        const TopAbs_ShapeEnum theType2);
 
   //! Analyzes the results of computation of the valid range for the
   //! pave block and in case of error adds the warning status, otherwise
   //! saves the valid range in the pave block.
   Standard_EXPORT void AnalyzeShrunkData(const Handle(BOPDS_PaveBlock)& thePB,
                                          const IntTools_ShrunkRange& theSR);
 
   //! Performs intersection of new vertices, obtained in E/E and E/F intersections
   Standard_EXPORT void PerformNewVertices(BOPDS_IndexedDataMapOfShapeCoupleOfPaveBlocks& theMVCPB,
                                           const Handle(NCollection_BaseAllocator)& theAllocator,
                                           const Message_ProgressRange& theRange,
                                           const Standard_Boolean theIsEEIntersection = Standard_True);
   
   Standard_EXPORT Standard_Boolean CheckFacePaves (const TopoDS_Vertex& theVnew,
                                                    const TColStd_MapOfInteger& theMIF);
   
   Standard_EXPORT static Standard_Boolean CheckFacePaves (const Standard_Integer theN,
                                                           const TColStd_MapOfInteger& theMIFOn,
                                                           const TColStd_MapOfInteger& theMIFIn);
   
   Standard_EXPORT Standard_Boolean IsExistingVertex (const gp_Pnt& theP,
                                                      const Standard_Real theTol,
                                                      const TColStd_MapOfInteger& theMVOn) const;
   
 
   //! Checks and puts paves from <theMVOnIn> on the curve <theNC>.
   //! At that, common (from theMVCommon) and not common vertices
   //! are processed differently.
   Standard_EXPORT void PutPavesOnCurve(const TColStd_MapOfInteger& theMVOnIn,
                                        const TColStd_MapOfInteger& theMVCommon,
                                        BOPDS_Curve& theNC,
                                        const TColStd_MapOfInteger& theMI,
                                        const TColStd_MapOfInteger& theMVEF,
                                        TColStd_DataMapOfIntegerReal& theMVTol,
                                        TColStd_DataMapOfIntegerListOfInteger& theDMVLV);
 
   Standard_EXPORT void FilterPavesOnCurves(const BOPDS_VectorOfCurve& theVNC,
                                            TColStd_DataMapOfIntegerReal& theMVTol);
 
   //! Depending on the parameter aType it checks whether
   //! the vertex nV was created in EE or EF intersections.
   //! If so, it increases aTolVExt from tolerance value of vertex to
   //! the max distance from vertex nV to the ends of the range of common part.
   //! Possible values of aType:
   //! 1 - checks only EE;
   //! 2 - checks only EF;
   //! other - checks both types of intersections.
   Standard_EXPORT Standard_Boolean ExtendedTolerance (const Standard_Integer nV,
                                                       const TColStd_MapOfInteger& aMI,
                                                       Standard_Real& aTolVExt,
                                                       const Standard_Integer aType = 0);
   
   Standard_EXPORT void PutBoundPaveOnCurve(const TopoDS_Face& theF1,
                                            const TopoDS_Face& theF2,
                                            BOPDS_Curve& theNC,
                                            TColStd_ListOfInteger& theLBV);
 
   //! Checks if the given pave block (created on section curve)
   //! coincides with any of the pave blocks of the faces
   //! created the section curve.
   Standard_EXPORT Standard_Boolean IsExistingPaveBlock
     (const Handle(BOPDS_PaveBlock)& thePB, const BOPDS_Curve& theNC,
      const Standard_Real theTolR3D,
      const BOPDS_IndexedMapOfPaveBlock& theMPB,
      BOPTools_BoxTree& thePBTree,
      const BOPDS_MapOfPaveBlock& theMPBCommon,
      Handle(BOPDS_PaveBlock)& thePBOut, Standard_Real& theTolNew);
 
   //! Checks if the given pave block (created on section curve)
   //! coincides with any of the edges shared between the faces
   //! created the section curve.
   Standard_EXPORT Standard_Boolean IsExistingPaveBlock(const Handle(BOPDS_PaveBlock)& thePB,
                                                        const BOPDS_Curve& theNC,
                                                        const TColStd_ListOfInteger& theLSE,
                                                        Standard_Integer& theNEOut,
                                                        Standard_Real& theTolNew);
 
   //! Treatment of section edges.
   Standard_EXPORT void PostTreatFF (BOPDS_IndexedDataMapOfShapeCoupleOfPaveBlocks& theMSCPB,
                                     BOPDS_DataMapOfPaveBlockListOfPaveBlock& theDMExEdges,
                                     TColStd_DataMapOfIntegerInteger& theDMNewSD,
                                     const BOPDS_IndexedMapOfPaveBlock& theMicroPB,
                                     const TopTools_IndexedMapOfShape& theVertsOnRejectedPB,
                                     const Handle(NCollection_BaseAllocator)& theAllocator,
                                     const Message_ProgressRange& theRange);
   
   Standard_EXPORT void FindPaveBlocks (const Standard_Integer theV,
                                        const Standard_Integer theF,
                                        BOPDS_ListOfPaveBlock& theLPB);
   
   Standard_EXPORT void FillPaves (const Standard_Integer theV,
                                   const Standard_Integer theE,
                                   const Standard_Integer theF,
                                   const BOPDS_ListOfPaveBlock& theLPB,
                                   const Handle(BOPDS_PaveBlock)& thePB);
   
   Standard_EXPORT void MakeSplitEdge (const Standard_Integer theV, const Standard_Integer theF);
   
   Standard_EXPORT void GetEFPnts (const Standard_Integer nF1,
                                   const Standard_Integer nF2,
                                   IntSurf_ListOfPntOn2S& aListOfPnts);
   
 
   //! Checks and puts paves created in EF intersections on the curve <theNC>.
   Standard_EXPORT void PutEFPavesOnCurve (const BOPDS_VectorOfCurve& theVC, 
                                           const Standard_Integer theIndex,
                                           const TColStd_MapOfInteger& theMI, 
                                           const TColStd_MapOfInteger& theMVEF, 
                                           TColStd_DataMapOfIntegerReal& theMVTol,
                                           TColStd_DataMapOfIntegerListOfInteger& aDMVLV);
   
 
   //! Puts stick paves on the curve <theNC>
   Standard_EXPORT void PutStickPavesOnCurve (const TopoDS_Face& aF1, 
                                              const TopoDS_Face& aF2, 
                                              const TColStd_MapOfInteger& theMI, 
                                              const BOPDS_VectorOfCurve& theVC,
                                              const Standard_Integer theIndex,
                                              const TColStd_MapOfInteger& theMVStick, 
                                              TColStd_DataMapOfIntegerReal& theMVTol,
                                              TColStd_DataMapOfIntegerListOfInteger& aDMVLV);
   
 
   //! Collects indices of vertices created in all intersections between
   //! two faces (<nF1> and <nF2>) to the map <theMVStick>.
   //! Also, it collects indices of EF vertices to the <theMVEF> map
   //! and indices of all subshapes of these two faces to the <theMI> map.
   Standard_EXPORT void GetStickVertices (const Standard_Integer nF1,
                                          const Standard_Integer nF2,
                                          TColStd_MapOfInteger& theMVStick,
                                          TColStd_MapOfInteger& theMVEF,
                                          TColStd_MapOfInteger& theMI);
   
 
   //! Collects index nF and indices of all subshapes of the shape with index <nF>
   //! to the map <theMI>.
   Standard_EXPORT void GetFullShapeMap (const Standard_Integer nF, TColStd_MapOfInteger& theMI);
   
 
   //! Removes indices of vertices that are already on the
   //! curve <theNC> from the map <theMV>.
   //! It is used in PutEFPavesOnCurve and PutStickPavesOnCurve methods.
   Standard_EXPORT void RemoveUsedVertices (const BOPDS_VectorOfCurve& theVC, TColStd_MapOfInteger& theMV);
   
 
   //! Puts the pave nV on the curve theNC.
   //! Parameter aType defines whether to check the pave with
   //! extended tolerance:
   //! 0 - do not perform the check;
   //! other - perform the check (aType goes to ExtendedTolerance).
   Standard_EXPORT void PutPaveOnCurve (const Standard_Integer nV, 
                                 const Standard_Real theTolR3D, 
                                 const BOPDS_Curve& theNC, 
                                 const TColStd_MapOfInteger& theMI, 
                                 TColStd_DataMapOfIntegerReal& theMVTol,
                                 TColStd_DataMapOfIntegerListOfInteger& aDMVLV,
                                 const Standard_Integer aType = 0);
   
   //! Adds the existing edges for intersection with section edges
   //! by checking the possible intersection with the faces comparing
   //! pre-saved E-F distances with new tolerances.
   Standard_EXPORT void ProcessExistingPaveBlocks (const Standard_Integer theInt,
                                                   const Standard_Integer theCur,
                                                   const Standard_Integer nF1,
                                                   const Standard_Integer nF2,
                                                   const TopoDS_Edge& theES,
                                                   const BOPDS_IndexedMapOfPaveBlock& theMPBOnIn,
                                                   BOPTools_BoxTree& thePBTree,
                                                   BOPDS_IndexedDataMapOfShapeCoupleOfPaveBlocks& theMSCPB,
                                                   TopTools_DataMapOfShapeInteger& theMVI,
                                                   BOPDS_ListOfPaveBlock& theLPBC,
                                                   BOPAlgo_DataMapOfPaveBlockListOfInteger& thePBFacesMap,
                                                   BOPDS_MapOfPaveBlock& theMPB);
 
   //! Adds the existing edges from the map <theMPBOnIn> which interfere
   //! with the vertices from <theMVB> map to the post treatment of section edges.
   Standard_EXPORT void ProcessExistingPaveBlocks (const Standard_Integer theInt,
                                                   const Standard_Integer nF1,
                                                   const Standard_Integer nF2,
                                                   const BOPDS_IndexedMapOfPaveBlock& theMPBOnIn,
                                                   BOPTools_BoxTree& thePBTree,
                                                   const TColStd_DataMapOfIntegerListOfInteger& theDMBV,
                                                   BOPDS_IndexedDataMapOfShapeCoupleOfPaveBlocks& theMSCPB,
                                                   TopTools_DataMapOfShapeInteger& theMVI,
                                                   BOPAlgo_DataMapOfPaveBlockListOfInteger& thePBFacesMap,
                                                   BOPDS_MapOfPaveBlock& theMPB);
 
   //! Replaces existing pave block <thePB> with new pave blocks <theLPB>.
   //! The list <theLPB> contains images of <thePB> which were created in
   //! the post treatment of section edges.
   //! Tries to project the new edges on the faces contained in the <thePBFacesMap>.
   Standard_EXPORT void UpdateExistingPaveBlocks(const Handle(BOPDS_PaveBlock)& thePB,
                                                 BOPDS_ListOfPaveBlock& theLPB,
                                                 const BOPAlgo_DataMapOfPaveBlockListOfInteger& thePBFacesMap);
 
   //! Treatment of vertices that were created in EE intersections.
   Standard_EXPORT void TreatNewVertices(const BOPDS_IndexedDataMapOfShapeCoupleOfPaveBlocks& theMVCPB,
                                         TopTools_IndexedDataMapOfShapeListOfShape& theImages);
   
 
   //! Put paves on the curve <aBC> in case when <aBC>
   //! is closed 3D-curve
   Standard_EXPORT void PutClosingPaveOnCurve (BOPDS_Curve& aNC);
   
 
   //! Keeps data for post treatment
   Standard_EXPORT void PreparePostTreatFF (const Standard_Integer aInt,
                                            const Standard_Integer aCur,
                                            const Handle(BOPDS_PaveBlock)& aPB,
                                            BOPDS_IndexedDataMapOfShapeCoupleOfPaveBlocks& aMSCPB,
                                            TopTools_DataMapOfShapeInteger& aMVI,
                                            BOPDS_ListOfPaveBlock& aLPB);
 
   //! Updates the information about faces
   Standard_EXPORT void UpdateFaceInfo(BOPDS_DataMapOfPaveBlockListOfPaveBlock& theDME,
                                       const TColStd_DataMapOfIntegerInteger& theDMV,
                                       const BOPAlgo_DataMapOfPaveBlockListOfInteger& thePBFacesMap);
 
   //! Updates tolerance of vertex with index <nV>
   //! to make it interfere with edge.
   //! Returns TRUE if intersection happened.
   Standard_EXPORT Standard_Boolean ForceInterfVE(const Standard_Integer nV,
                                                  Handle(BOPDS_PaveBlock)& aPB,
                                                  TColStd_MapOfInteger& theMEdges);
 
   //! Updates tolerance of vertex with index <nV>
   //! to make it interfere with face with index <nF>
   Standard_EXPORT Standard_Boolean ForceInterfVF (const Standard_Integer nV, const Standard_Integer nF);
   
 
   //! Checks if there are any common or intersecting sub shapes
   //! between two planar faces.
   Standard_EXPORT Standard_Boolean CheckPlanes (const Standard_Integer nF1, const Standard_Integer nF2) const;
   
 
   //! Creates new edge from the edge nE with vertices nV1 and nV2
   //! and returns the index of that new edge in the DS.
   Standard_EXPORT Standard_Integer SplitEdge (const Standard_Integer nE,
                                               const Standard_Integer nV1,
                                               const Standard_Real    aT1,
                                               const Standard_Integer nV2,
                                               const Standard_Real    aT2);
   
 
   //! Updates pave blocks which have the paves with indices contained
   //! in the map <aDMNewSD>.
   Standard_EXPORT void UpdatePaveBlocks(const TColStd_DataMapOfIntegerInteger& aDMNewSD);
 
   //! Updates tolerance vertex nV due to V/E interference.
   //! It always creates new vertex if nV is from arguments.
   //! @return  DS index of updated vertex.
   Standard_EXPORT Standard_Integer UpdateVertex(const Standard_Integer nV,
                                                 const Standard_Real aTolNew);
    
   Standard_EXPORT void UpdatePaveBlocksWithSDVertices();
 
   Standard_EXPORT void UpdateCommonBlocksWithSDVertices();
    
   Standard_EXPORT void UpdateBlocksWithSharedVertices();
 
   Standard_EXPORT void UpdateInterfsWithSDVertices();
 
   Standard_EXPORT Standard_Boolean EstimatePaveOnCurve(const Standard_Integer nV,
                                                        const BOPDS_Curve& theNC,
                                                        const Standard_Real theTolR3D);
       
   Standard_EXPORT void UpdateEdgeTolerance(const Standard_Integer nE,
                                            const Standard_Real aTolNew);
 
   Standard_EXPORT void RemovePaveBlocks(const TColStd_MapOfInteger& theEdges);
 
   Standard_EXPORT void CorrectToleranceOfSE();
 
   //! Reduce the intersection range using the common ranges of
   //! Edge/Edge interferences to avoid creation of close
   //! intersection vertices
   Standard_EXPORT void ReduceIntersectionRange(const Standard_Integer theV1,
                                                const Standard_Integer theV2,
                                                const Standard_Integer theE,
                                                const Standard_Integer theF,
                                                Standard_Real& theTS1,
                                                Standard_Real& theTS2);
 
   //! Gets the bounding box for the given Pave Block.
   //! If Pave Block has shrunk data it will be used to get the box,
   //! and the Shrunk Range (<theSFirst>, <theSLast>).
   //! Otherwise the box will be computed using BndLib_Add3dCurve method,
   //! and the Shrunk Range will be equal to the PB's range.
   //! To avoid re-computation of the bounding box for the same Pave Block
   //! it will be saved in the map <thePBBox>.
   //! Returns FALSE in case the PB's range is less than the
   //! Precision::PConfusion(), otherwise returns TRUE.
   Standard_EXPORT Standard_Boolean GetPBBox(const TopoDS_Edge& theE,
                                             const Handle(BOPDS_PaveBlock)& thePB,
                                             BOPAlgo_DataMapOfPaveBlockBndBox& thePBBox,
                                             Standard_Real& theFirst,
                                             Standard_Real& theLast,
                                             Standard_Real& theSFirst,
                                             Standard_Real& theSLast,
                                             Bnd_Box& theBox);
 
   //! Treatment of the possible common zones, not detected by the
   //! Face/Face intersection algorithm, by intersection of each section edge
   //! with all faces not participated in creation of that section edge.
   //! If the intersection says that the section edge is lying on the face
   //! it will be added into FaceInfo structure of the face as IN edge
   //! and will be used for splitting.
   Standard_EXPORT void PutSEInOtherFaces(const Message_ProgressRange& theRange);
 
   //! Analyzes the results of interferences of sub-shapes of the shapes
   //! looking for self-interfering entities by the following rules:<br>
   //! 1. The Faces of the same shape considered interfering in case they:<br>
   //!    - Interfere with the other shapes in the same place (in the same vertex) or;<br>
   //!    - Included in the same common block.
   //! 2. The Faces of the same shape considered interfering in case they
   //!    share the IN or SECTION edges.<br>
   //! In case self-interference is found the warning is added.
   Standard_EXPORT void CheckSelfInterference();
 
   //! Adds the warning about failed intersection of pair of sub-shapes
   Standard_EXPORT void AddIntersectionFailedWarning(const TopoDS_Shape& theS1,
                                                     const TopoDS_Shape& theS2);
 
   //! Repeat intersection of sub-shapes with increased vertices.
   Standard_EXPORT void RepeatIntersection(const Message_ProgressRange& theRange);
 
   //! Updates vertices of CommonBlocks with real tolerance of CB.
   Standard_EXPORT void UpdateVerticesOfCB();
 
   //! The method looks for the additional common blocks among pairs of edges
   //! with the same bounding vertices.
   Standard_EXPORT void ForceInterfEE(const Message_ProgressRange& theRange);
 
   //! The method looks for the additional edge/face common blocks
   //! among pairs of edge/face having the same vertices.
   Standard_EXPORT void ForceInterfEF(const Message_ProgressRange& theRange);
 
   //! Performs intersection of given pave blocks
   //! with all faces from arguments.
   Standard_EXPORT void ForceInterfEF(const BOPDS_IndexedMapOfPaveBlock& theMPB,
                                      const Message_ProgressRange& theRange,
                                      const Standard_Boolean theAddInterf);
 
   //! When all section edges are created and no increase of the tolerance
   //! of vertices put on the section edges is expected, make sure that
   //! the created sections have valid range.
   //! If any of the section edges do not have valid range, remove them
   //! from Face/Face intersection info and from the input <theMSCPB> map.
   //! Put such edges into <MicroPB> map for further unification of their
   //! vertices in the PostTreatFF method.
   //!
   //! All these section edges have already been checked to have valid range.
   //! Current check is necessary for the edges whose vertices have also
   //! been put on other section edges with greater tolerance, which has caused
   //! increase of the tolerance value of the vertices.
   Standard_EXPORT void RemoveMicroSectionEdges(BOPDS_IndexedDataMapOfShapeCoupleOfPaveBlocks& theMSCPB,
                                                BOPDS_IndexedMapOfPaveBlock& theMicroPB);
 
   //! Check all edges on the micro status and remove the positive ones
   Standard_EXPORT void RemoveMicroEdges();
 
   //! Auxiliary structure to hold the edge distance to the face
   struct EdgeRangeDistance
   {
     Standard_Real First;
     Standard_Real Last;
     Standard_Real Distance;
 
     EdgeRangeDistance (const Standard_Real theFirst = 0.0,
                        const Standard_Real theLast = 0.0,
                        const Standard_Real theDistance = RealLast())
       : First (theFirst), Last (theLast), Distance (theDistance)
     {}
   };
 
 protected: //! Analyzing Progress steps
 
   //! Filling steps for constant operations
   Standard_EXPORT void fillPIConstants(const Standard_Real theWhole, BOPAlgo_PISteps& theSteps) const Standard_OVERRIDE;
   //! Filling steps for all other operations
   Standard_EXPORT void fillPISteps(BOPAlgo_PISteps& theSteps) const Standard_OVERRIDE;
 
 protected: //! Fields
 
   TopTools_ListOfShape myArguments;
   BOPDS_PDS myDS;
   BOPDS_PIterator myIterator;
   Handle(IntTools_Context) myContext;
   BOPAlgo_SectionAttribute mySectionAttribute;
   Standard_Boolean myNonDestructive;
   Standard_Boolean myIsPrimary;
   Standard_Boolean myAvoidBuildPCurve;
   BOPAlgo_GlueEnum myGlue;
 
   BOPAlgo_DataMapOfIntegerMapOfPaveBlock myFPBDone; //!< Fence map of intersected faces and pave blocks
   TColStd_MapOfInteger myIncreasedSS; //!< Sub-shapes with increased tolerance during the operation
   TColStd_MapOfInteger myVertsToAvoidExtension; //!< Vertices located close to E/E or E/F intersection points
                                                 //! which has already been extended to cover the real intersection
                                                 //! points, and should not be extended any longer to be put
                                                 //! on a section curve.
   
   NCollection_DataMap <BOPDS_Pair,
                        NCollection_List<EdgeRangeDistance>>
                                             myDistances; //!< Map to store minimal distances between shapes
                                                          //!  which have no real intersections
 
 };
 
 #endif // _BOPAlgo_PaveFiller_HeaderFile

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