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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 _BOPTools_AlgoTools_HeaderFile
 #define _BOPTools_AlgoTools_HeaderFile
 
 #include <Standard.hxx>
 #include <Standard_DefineAlloc.hxx>
 #include <Standard_Handle.hxx>
 
 #include <Standard_Boolean.hxx>
 #include <Standard_Integer.hxx>
 #include <Standard_Real.hxx>
 #include <BOPTools_ListOfCoupleOfShape.hxx>
 #include <BOPTools_ListOfConnexityBlock.hxx>
 #include <NCollection_BaseAllocator.hxx>
 #include <TopAbs_State.hxx>
 #include <TopAbs_ShapeEnum.hxx>
 #include <TopTools_IndexedDataMapOfShapeListOfShape.hxx>
 #include <TopTools_IndexedMapOfShape.hxx>
 #include <TopTools_MapOfShape.hxx>
 #include <TopTools_ListOfListOfShape.hxx>
 #include <TopTools_ListOfShape.hxx>
 #include <Precision.hxx>
 class TopoDS_Vertex;
 class gp_Pnt;
 class IntTools_Curve;
 class TopoDS_Edge;
 class TopoDS_Face;
 class TopoDS_Shape;
 class IntTools_Context;
 class TopoDS_Solid;
 class IntTools_Range;
 class TopoDS_Shell;
 class Message_Report;
 
 //! Provides tools used in Boolean Operations algorithm:
 //! - Vertices intersection;
 //! - Vertex construction;
 //! - Edge construction;
 //! - Classification algorithms;
 //! - Making connexity blocks;
 //! - Shape validation.
 class BOPTools_AlgoTools
 {
 public:
   DEFINE_STANDARD_ALLOC
 
 public: //! @name Constants
   //! Additional tolerance (delta tolerance) is used in Boolean Operations
   //! to ensure that the tolerance of new/old entities obtained
   //! by intersection of two shapes is slightly bigger than the actual
   //! distances to these shapes. It helps to avoid numerical instability
   //! which may occur when comparing distances and tolerances.
   static Standard_Real DTolerance() { return 1.e-12; }
 
 public: //! @name Intersection of the vertices
   //! Intersects the vertex <theV1> with the point <theP> with tolerance <theTolP>.
   //! Returns the error status:
   //! - 0 - no error, meaning that the vertex intersects the point;
   //! - 1 - the distance between vertex and point is grater than the sum of tolerances.
   Standard_EXPORT static Standard_Integer ComputeVV(const TopoDS_Vertex& theV,
                                                     const gp_Pnt&        theP,
                                                     const Standard_Real  theTolP);
 
   //! Intersects the given vertices with given fuzzy value.
   //! Returns the error status:
   //! - 0 - no error, meaning that the vertices interferes with given tolerance;
   //! - 1 - the distance between vertices is grater than the sum of their tolerances.
   Standard_EXPORT static Standard_Integer ComputeVV(
     const TopoDS_Vertex& theV1,
     const TopoDS_Vertex& theV2,
     const Standard_Real  theFuzz = Precision::Confusion());
 
 public: //! @name Vertices construction
   //! Makes the vertex in the middle of given vertices with
   //! the tolerance covering all tolerance spheres of vertices.
   Standard_EXPORT static void MakeVertex(const TopTools_ListOfShape& theLV, TopoDS_Vertex& theV);
 
   //! Make a vertex using 3D-point <aP1> and 3D-tolerance value <aTol>
   Standard_EXPORT static void MakeNewVertex(const gp_Pnt&       aP1,
                                             const Standard_Real aTol,
                                             TopoDS_Vertex&      aNewVertex);
 
   //! Make a vertex using couple of vertices  <aV1, aV2>
   Standard_EXPORT static void MakeNewVertex(const TopoDS_Vertex& aV1,
                                             const TopoDS_Vertex& aV2,
                                             TopoDS_Vertex&       aNewVertex);
 
   //! Make a vertex in place of intersection between two edges
   //! <aE1, aE2> with parameters <aP1, aP2>
   Standard_EXPORT static void MakeNewVertex(const TopoDS_Edge&  aE1,
                                             const Standard_Real aP1,
                                             const TopoDS_Edge&  aE2,
                                             const Standard_Real aP2,
                                             TopoDS_Vertex&      aNewVertex);
 
   //! Make a vertex in place of intersection between the edge <aE1>
   //! with parameter <aP1> and the face <aF2>
   Standard_EXPORT static void MakeNewVertex(const TopoDS_Edge&  aE1,
                                             const Standard_Real aP1,
                                             const TopoDS_Face&  aF2,
                                             TopoDS_Vertex&      aNewVertex);
 
 public: //! @name Updating the vertex
   //! Update the tolerance value for vertex  <aV>
   //! taking into account the fact that <aV> lays on
   //! the curve <aIC>
   Standard_EXPORT static void UpdateVertex(const IntTools_Curve& aIC,
                                            const Standard_Real   aT,
                                            const TopoDS_Vertex&  aV);
 
   //! Update the tolerance value for vertex  <aV>
   //! taking into account the fact that <aV> lays on
   //! the edge <aE>
   Standard_EXPORT static void UpdateVertex(const TopoDS_Edge&   aE,
                                            const Standard_Real  aT,
                                            const TopoDS_Vertex& aV);
 
   //! Update the tolerance value for vertex  <aVN>
   //! taking into account the fact that <aVN> should
   //! cover tolerance zone of <aVF>
   Standard_EXPORT static void UpdateVertex(const TopoDS_Vertex& aVF, const TopoDS_Vertex& aVN);
 
 public: //! @name Edge construction
   //! Makes the edge based on the given curve with given bounding vertices.
   Standard_EXPORT static void MakeEdge(const IntTools_Curve& theCurve,
                                        const TopoDS_Vertex&  theV1,
                                        const Standard_Real   theT1,
                                        const TopoDS_Vertex&  theV2,
                                        const Standard_Real   theT2,
                                        const Standard_Real   theTolR3D,
                                        TopoDS_Edge&          theE);
 
   //! Makes a copy of <theEdge> with vertices.
   Standard_EXPORT static TopoDS_Edge CopyEdge(const TopoDS_Edge& theEdge);
 
   //! Make the edge from base edge <aE1> and two vertices <aV1,aV2>
   //! at parameters <aP1,aP2>
   Standard_EXPORT static void MakeSplitEdge(const TopoDS_Edge&   aE1,
                                             const TopoDS_Vertex& aV1,
                                             const Standard_Real  aP1,
                                             const TopoDS_Vertex& aV2,
                                             const Standard_Real  aP2,
                                             TopoDS_Edge&         aNewEdge);
 
   //! Make the edge from 3D-Curve <aIC>  and two vertices <aV1,aV2>
   //! at parameters <aP1,aP2>
   Standard_EXPORT static void MakeSectEdge(const IntTools_Curve& aIC,
                                            const TopoDS_Vertex&  aV1,
                                            const Standard_Real   aP1,
                                            const TopoDS_Vertex&  aV2,
                                            const Standard_Real   aP2,
                                            TopoDS_Edge&          aNewEdge);
 
 public: //! @name Point/Edge/Face classification relatively solid
   //! Computes the 3-D state of the point thePoint
   //! toward solid theSolid.
   //! theTol - value of precision of computation
   //! theContext- cached geometrical tools
   //! Returns 3-D state.
   Standard_EXPORT static TopAbs_State ComputeState(const gp_Pnt&                   thePoint,
                                                    const TopoDS_Solid&             theSolid,
                                                    const Standard_Real             theTol,
                                                    const Handle(IntTools_Context)& theContext);
 
   //! Computes the 3-D state of the vertex theVertex
   //! toward solid theSolid.
   //! theTol - value of precision of computation
   //! theContext- cached geometrical tools
   //! Returns 3-D state.
   Standard_EXPORT static TopAbs_State ComputeState(const TopoDS_Vertex&            theVertex,
                                                    const TopoDS_Solid&             theSolid,
                                                    const Standard_Real             theTol,
                                                    const Handle(IntTools_Context)& theContext);
 
   //! Computes the 3-D state of the edge theEdge
   //! toward solid theSolid.
   //! theTol - value of precision of computation
   //! theContext- cached geometrical tools
   //! Returns 3-D state.
   Standard_EXPORT static TopAbs_State ComputeState(const TopoDS_Edge&              theEdge,
                                                    const TopoDS_Solid&             theSolid,
                                                    const Standard_Real             theTol,
                                                    const Handle(IntTools_Context)& theContext);
 
   //! Computes the 3-D state of the face theFace
   //! toward solid theSolid.
   //! theTol - value of precision of computation
   //! theBounds - set of edges of <theSolid> to avoid
   //! theContext- cached geometrical tools
   //! Returns 3-D state.
   Standard_EXPORT static TopAbs_State ComputeState(const TopoDS_Face&                theFace,
                                                    const TopoDS_Solid&               theSolid,
                                                    const Standard_Real               theTol,
                                                    const TopTools_IndexedMapOfShape& theBounds,
                                                    const Handle(IntTools_Context)&   theContext);
 
   //! Computes the 3-D state of the shape theShape
   //! toward solid theSolid.
   //! theTol - value of precision of computation
   //! theContext- cached geometrical tools
   //! Returns 3-D state.
   Standard_EXPORT static TopAbs_State ComputeStateByOnePoint(
     const TopoDS_Shape&             theShape,
     const TopoDS_Solid&             theSolid,
     const Standard_Real             theTol,
     const Handle(IntTools_Context)& theContext);
 
 public: //! @name Face classification relatively solid
   //! For the face theFace and its edge theEdge
   //! finds the face suitable to produce shell.
   //! theLCEF - set of faces to search. All faces
   //! from theLCEF must share edge theEdge
   Standard_EXPORT static Standard_Boolean GetFaceOff(const TopoDS_Edge&              theEdge,
                                                      const TopoDS_Face&              theFace,
                                                      BOPTools_ListOfCoupleOfShape&   theLCEF,
                                                      TopoDS_Face&                    theFaceOff,
                                                      const Handle(IntTools_Context)& theContext);
 
   //! Returns True if the face theFace is inside of the
   //! couple of faces theFace1, theFace2.
   //! The faces theFace, theFace1, theFace2  must
   //! share the edge theEdge
   //! Return values:
   //!  * 0 state is not IN
   //!  * 1 state is IN
   //!  * 2 state can not be found by the method of angles
   Standard_EXPORT static Standard_Integer IsInternalFace(
     const TopoDS_Face&              theFace,
     const TopoDS_Edge&              theEdge,
     const TopoDS_Face&              theFace1,
     const TopoDS_Face&              theFace2,
     const Handle(IntTools_Context)& theContext);
 
   //! Returns True if the face theFace is inside of the
   //! appropriate couple of faces (from the set theLF)    .
   //! The faces of the set theLF and theFace  must
   //! share the edge theEdge
   //!  * 0 state is not IN
   //!  * 1 state is IN
   //!  * 2 state can not be found by the method of angles
   Standard_EXPORT static Standard_Integer IsInternalFace(
     const TopoDS_Face&              theFace,
     const TopoDS_Edge&              theEdge,
     TopTools_ListOfShape&           theLF,
     const Handle(IntTools_Context)& theContext);
 
   //! Returns True if the face theFace is inside the
   //! solid theSolid.
   //! theMEF - Map Edge/Faces for theSolid
   //! theTol - value of precision of computation
   //! theContext- cached geometrical tools
   Standard_EXPORT static Standard_Boolean IsInternalFace(
     const TopoDS_Face&                         theFace,
     const TopoDS_Solid&                        theSolid,
     TopTools_IndexedDataMapOfShapeListOfShape& theMEF,
     const Standard_Real                        theTol,
     const Handle(IntTools_Context)&            theContext);
 
 public: //! @name PCurve construction
   //! Makes 2d curve of the edge <theE> on the faces <theF1> and <theF2>.<br>
   //! <theContext> - storage for caching the geometrical tools
   Standard_EXPORT static void MakePCurve(
     const TopoDS_Edge&              theE,
     const TopoDS_Face&              theF1,
     const TopoDS_Face&              theF2,
     const IntTools_Curve&           theCurve,
     const Standard_Boolean          thePC1,
     const Standard_Boolean          thePC2,
     const Handle(IntTools_Context)& theContext = Handle(IntTools_Context)());
 
 public: //! @name Wire classification relatively face
   //! Checks if the wire is a hole for the face.
   Standard_EXPORT static Standard_Boolean IsHole(const TopoDS_Shape& theW,
                                                  const TopoDS_Shape& theF);
 
 public: //! @name Choosing correct orientation for the split shape
   //! Checks if the direction of the split shape is opposite to
   //! the direction of the original shape.
   //! The method is an overload for (Edge,Edge) and (Face,Face) corresponding
   //! methods and checks only these types of shapes.
   //! For faces the method checks if normal directions are opposite.
   //! For edges the method checks if tangent vectors are opposite.
   //!
   //! In case the directions do not coincide, it returns TRUE, meaning
   //! that split shape has to be reversed to match the direction of the
   //! original shape.
   //!
   //! If requested (<theError> is not null), the method returns the status of the operation:
   //! - 0 - no error;
   //! - Error from (Edge,Edge) or (Face,Face) corresponding method
   //! - 100 - bad types.
   //! In case of any error the method always returns FALSE.
   //!
   //! @param[in] theSplit  Split shape
   //! @param[in] theShape  Original shape
   //! @param[in] theContext  cached geometrical tools
   //! @param[out] theError  Error Status of the operation
   Standard_EXPORT static Standard_Boolean IsSplitToReverse(
     const TopoDS_Shape&             theSplit,
     const TopoDS_Shape&             theShape,
     const Handle(IntTools_Context)& theContext,
     Standard_Integer*               theError = NULL);
 
   //! Add-on for the *IsSplitToReverse()* to check for its errors
   //! and in case of any add the *BOPAlgo_AlertUnableToOrientTheShape*
   //! warning to the report.
   Standard_EXPORT static Standard_Boolean IsSplitToReverseWithWarn(
     const TopoDS_Shape&             theSplit,
     const TopoDS_Shape&             theShape,
     const Handle(IntTools_Context)& theContext,
     const Handle(Message_Report)&   theReport = NULL);
 
   //! Checks if the normal direction of the split face is opposite to
   //! the normal direction of the original face.
   //! The normal directions for both faces are taken in the same point -
   //! point inside the split face is projected onto the original face.
   //! Returns TRUE if the normals do not coincide, meaning the necessity
   //! to revert the orientation of the split face to match the direction
   //! of the original face.
   //!
   //! If requested (<theError> is not null), the method returns the status of the operation:
   //! - 0 - no error;
   //! - 1 - unable to find the point inside split face;
   //! - 2 - unable to compute the normal for the split face;
   //! - 3 - unable to project the point inside the split face on the original face;
   //! - 4 - unable to compute the normal for the original face.
   //! In case of any error the method always returns FALSE.
   //!
   //! @param[in] theSplit  Split face
   //! @param[in] theShape  Original face
   //! @param[in] theContext  cached geometrical tools
   //! @param[out] theError  Error Status of the operation
   Standard_EXPORT static Standard_Boolean IsSplitToReverse(
     const TopoDS_Face&              theSplit,
     const TopoDS_Face&              theShape,
     const Handle(IntTools_Context)& theContext,
     Standard_Integer*               theError = NULL);
 
   //! Checks if the tangent vector of the split edge is opposite to
   //! the tangent vector of the original edge.
   //! The tangent vectors for both edges are computed in the same point -
   //! point inside the split edge is projected onto the original edge.
   //! Returns TRUE if the tangent vectors do not coincide, meaning the necessity
   //! to revert the orientation of the split edge to match the direction
   //! of the original edge.
   //!
   //! If requested (<theError> is not null), the method returns the status of the operation:
   //! - 0 - no error;
   //! - 1 - degenerated edges are given;
   //! - 2 - unable to compute the tangent vector for the split edge;
   //! - 3 - unable to project the point inside the split edge on the original edge;
   //! - 4 - unable to compute the tangent vector for the original edge;
   //! In case of any error the method always returns FALSE.
   //!
   //! @param[in] theSplit  Split edge
   //! @param[in] theShape  Original edge
   //! @param[in] theContext  cached geometrical tools
   //! @param[out] theError  Error Status of the operation
   Standard_EXPORT static Standard_Boolean IsSplitToReverse(
     const TopoDS_Edge&              theSplit,
     const TopoDS_Edge&              theShape,
     const Handle(IntTools_Context)& theContext,
     Standard_Integer*               theError = NULL);
 
   //! Checks if the normals direction of the given faces computed near
   //! the shared edge coincide.
   //! Returns the status of operation:
   //! * 0 - in case of error (shared edge not found or directions are not collinear)
   //! * 1 - normal directions coincide;
   //! * -1 - normal directions are opposite.
   Standard_EXPORT static Standard_Integer Sense(const TopoDS_Face&              theF1,
                                                 const TopoDS_Face&              theF2,
                                                 const Handle(IntTools_Context)& theContext);
 
 public: //! @name Making connexity blocks
   //! For the list of faces theLS build block
   //! theLSCB in terms of connexity by edges
   //! theMapAvoid - set of edges to avoid for
   //! the treatment
   Standard_EXPORT static void MakeConnexityBlock(
     TopTools_ListOfShape&                    theLS,
     TopTools_IndexedMapOfShape&              theMapAvoid,
     TopTools_ListOfShape&                    theLSCB,
     const Handle(NCollection_BaseAllocator)& theAllocator);
 
   //! For the compound <theS> builds the blocks (compounds) of
   //! elements of type <theElementType> connected through the shapes
   //! of the type <theConnectionType>.
   //! The blocks are stored into the list <theLCB>.
   Standard_EXPORT static void MakeConnexityBlocks(const TopoDS_Shape&    theS,
                                                   const TopAbs_ShapeEnum theConnectionType,
                                                   const TopAbs_ShapeEnum theElementType,
                                                   TopTools_ListOfShape&  theLCB);
 
   //! For the compound <theS> builds the blocks (compounds) of
   //! elements of type <theElementType> connected through the shapes
   //! of the type <theConnectionType>.
   //! The blocks are stored into the list of lists <theLCB>.
   //! Returns also the connection map <theConnectionMap>, filled during operation.
   Standard_EXPORT static void MakeConnexityBlocks(
     const TopoDS_Shape&                        theS,
     const TopAbs_ShapeEnum                     theConnectionType,
     const TopAbs_ShapeEnum                     theElementType,
     TopTools_ListOfListOfShape&                theLCB,
     TopTools_IndexedDataMapOfShapeListOfShape& theConnectionMap);
 
   //! Makes connexity blocks of elements of the given type with the given type of the
   //! connecting elements. The blocks are checked on regularity (multi-connectivity)
   //! and stored to the list of blocks <theLCB>.
   Standard_EXPORT static void MakeConnexityBlocks(const TopTools_ListOfShape&    theLS,
                                                   const TopAbs_ShapeEnum         theConnectionType,
                                                   const TopAbs_ShapeEnum         theElementType,
                                                   BOPTools_ListOfConnexityBlock& theLCB);
 
 public: //! @name Orienting elements in container
   //! Correctly orients edges on the wire
   Standard_EXPORT static void OrientEdgesOnWire(TopoDS_Shape& theWire);
 
   //! Correctly orients faces on the shell
   Standard_EXPORT static void OrientFacesOnShell(TopoDS_Shape& theShell);
 
 public: //! @name Methods for shape validation (correction)
   //! Provides valid values of tolerances for the shape <theS>
   //! <theTolMax> is max value of the tolerance that can be
   //! accepted for correction.  If real value of the tolerance
   //! will be greater than  <aTolMax>, the correction does not
   //! perform.
   Standard_EXPORT static void CorrectTolerances(
     const TopoDS_Shape&               theS,
     const TopTools_IndexedMapOfShape& theMapToAvoid,
     const Standard_Real               theTolMax      = 0.0001,
     const Standard_Boolean            theRunParallel = Standard_False);
 
   //! Provides valid values of tolerances for the shape <theS>
   //! in  terms of BRepCheck_InvalidCurveOnSurface.
   Standard_EXPORT static void CorrectCurveOnSurface(
     const TopoDS_Shape&               theS,
     const TopTools_IndexedMapOfShape& theMapToAvoid,
     const Standard_Real               theTolMax      = 0.0001,
     const Standard_Boolean            theRunParallel = Standard_False);
 
   //! Provides valid values of tolerances for the shape <theS>
   //! in  terms of BRepCheck_InvalidPointOnCurve.
   Standard_EXPORT static void CorrectPointOnCurve(
     const TopoDS_Shape&               theS,
     const TopTools_IndexedMapOfShape& theMapToAvoid,
     const Standard_Real               theTolMax      = 0.0001,
     const Standard_Boolean            theRunParallel = Standard_False);
 
   //! Corrects tolerance values of the sub-shapes of the shape <theS> if needed.
   Standard_EXPORT static void CorrectShapeTolerances(
     const TopoDS_Shape&               theS,
     const TopTools_IndexedMapOfShape& theMapToAvoid,
     const Standard_Boolean            theRunParallel = Standard_False);
 
 public: //! Checking if the faces are coinciding
   //! Checks if the given faces are same-domain, i.e. coincide.
   Standard_EXPORT static Standard_Boolean AreFacesSameDomain(
     const TopoDS_Face&              theF1,
     const TopoDS_Face&              theF2,
     const Handle(IntTools_Context)& theContext,
     const Standard_Real             theFuzz = Precision::Confusion());
 
 public: //! @name Looking for the edge in the face
   //! Returns True if the face theFace contains
   //! the edge theEdge but with opposite orientation.
   //! If the method  returns True theEdgeOff is the
   //! edge founded
   Standard_EXPORT static Standard_Boolean GetEdgeOff(const TopoDS_Edge& theEdge,
                                                      const TopoDS_Face& theFace,
                                                      TopoDS_Edge&       theEdgeOff);
 
   //! For the face theFace gets the edge theEdgeOnF
   //! that is the same as theEdge
   //! Returns True if such edge exists
   //! Returns False if there is no such edge
   Standard_EXPORT static Standard_Boolean GetEdgeOnFace(const TopoDS_Edge& theEdge,
                                                         const TopoDS_Face& theFace,
                                                         TopoDS_Edge&       theEdgeOnF);
 
 public: //! @name Correction of the edges range
   //! Correct shrunk range <aSR> taking into account 3D-curve
   //! resolution and corresponding tolerance values of <aE1>, <aE2>
   Standard_EXPORT static void CorrectRange(const TopoDS_Edge&    aE1,
                                            const TopoDS_Edge&    aE2,
                                            const IntTools_Range& aSR,
                                            IntTools_Range&       aNewSR);
 
   //! Correct shrunk range <aSR> taking into account 3D-curve
   //! resolution and corresponding tolerance values of <aE>, <aF>
   Standard_EXPORT static void CorrectRange(const TopoDS_Edge&    aE,
                                            const TopoDS_Face&    aF,
                                            const IntTools_Range& aSR,
                                            IntTools_Range&       aNewSR);
 
 public: //! @name Checking edge on micro status
   //! Checks if it is possible to compute shrunk range for the edge <aE>
   //! Flag <theCheckSplittable> defines whether to take into account
   //! the possibility to split the edge or not.
   Standard_EXPORT static Standard_Boolean IsMicroEdge(
     const TopoDS_Edge&              theEdge,
     const Handle(IntTools_Context)& theContext,
     const Standard_Boolean          theCheckSplittable = Standard_True);
 
 public: //! @name Solid classification
   //! Returns true if the solid <theSolid> is inverted
   Standard_EXPORT static Standard_Boolean IsInvertedSolid(const TopoDS_Solid& theSolid);
 
 public: //! @name Edge/Face Deviation computation
   //! Computes the necessary value of the tolerance for the edge
   Standard_EXPORT static Standard_Boolean ComputeTolerance(const TopoDS_Face& theFace,
                                                            const TopoDS_Edge& theEdge,
                                                            Standard_Real&     theMaxDist,
                                                            Standard_Real&     theMaxPar);
 
 public: //! @name Other methods
   //! Makes empty container of requested type
   Standard_EXPORT static void MakeContainer(const TopAbs_ShapeEnum theType, TopoDS_Shape& theShape);
 
   //! Compute a 3D-point on the edge <aEdge> at parameter <aPrm>
   Standard_EXPORT static void PointOnEdge(const TopoDS_Edge&  aEdge,
                                           const Standard_Real aPrm,
                                           gp_Pnt&             aP);
 
   //! Returns TRUE if PaveBlock <aPB> lays on the face <aF>, i.e
   //! the <PB> is IN or ON in 2D of <aF>
   Standard_EXPORT static Standard_Boolean IsBlockInOnFace(const IntTools_Range&           aShR,
                                                           const TopoDS_Face&              aF,
                                                           const TopoDS_Edge&              aE,
                                                           const Handle(IntTools_Context)& aContext);
 
   //! Returns the min and max dimensions of the shape <theS>.
   Standard_EXPORT static void Dimensions(const TopoDS_Shape& theS,
                                          Standard_Integer&   theDMin,
                                          Standard_Integer&   theDMax);
 
   //! Returns dimension of the shape <theS>.
   //! If the shape contains elements of different dimension, -1 is returned.
   Standard_EXPORT static Standard_Integer Dimension(const TopoDS_Shape& theS);
 
   //! Collects in the output list recursively all non-compound sub-shapes of the first level
   //! of the given shape theS. The optional map theMap is used to avoid the duplicates in the
   //! output list, so it will also contain all non-compound sub-shapes.
   Standard_EXPORT static void TreatCompound(const TopoDS_Shape&   theS,
                                             TopTools_ListOfShape& theList,
                                             TopTools_MapOfShape*  theMap = NULL);
 
   //! Returns true if the  shell <theShell> is open
   Standard_EXPORT static Standard_Boolean IsOpenShell(const TopoDS_Shell& theShell);
 };
 
 #endif // _BOPTools_AlgoTools_HeaderFile

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