# Copyright (C) 2007-2019  CEA/DEN, EDF R&D, OPEN CASCADE
#
# 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
#
#  File   : smeshBuilder.py
#  Author : Francis KLOSS, OCC
#  Module : SMESH

import salome
from salome.geom import geomBuilder

import SMESH # This is necessary for back compatibility
import omniORB                                       # back compatibility
SMESH.MED_V2_1    = 11 #omniORB.EnumItem("MED_V2_1", 11) # back compatibility: use number > MED minor version
SMESH.MED_V2_2    = 12 #omniORB.EnumItem("MED_V2_2", 12) # back compatibility: latest minor will be used
SMESH.MED_MINOR_0 = 20 # back compatibility
SMESH.MED_MINOR_1 = 21 # back compatibility
SMESH.MED_MINOR_2 = 22 # back compatibility
SMESH.MED_MINOR_3 = 23 # back compatibility
SMESH.MED_MINOR_4 = 24 # back compatibility
SMESH.MED_MINOR_5 = 25 # back compatibility
SMESH.MED_MINOR_6 = 26 # back compatibility
SMESH.MED_MINOR_7 = 27 # back compatibility
SMESH.MED_MINOR_8 = 28 # back compatibility
SMESH.MED_MINOR_9 = 29 # back compatibility

from   SMESH import *
from   salome.smesh.smesh_algorithm import Mesh_Algorithm

import SALOME
import SALOMEDS
import os
import inspect

# In case the omniORBpy EnumItem class does not fully support Python 3
# (for instance in version 4.2.1-2), the comparison ordering methods must be
# defined
#
try:
    SMESH.Entity_Triangle < SMESH.Entity_Quadrangle
except TypeError:
    def enumitem_eq(self, other):
        try:
            if isinstance(other, omniORB.EnumItem):
                if other._parent_id == self._parent_id:
                    return self._v == other._v
                else:
                    return self._parent_id == other._parent_id
            else:
                return id(self) == id(other)
        except:
            return id(self) == id(other)

    def enumitem_lt(self, other):
        try:
            if isinstance(other, omniORB.EnumItem):
                if other._parent_id == self._parent_id:
                    return self._v < other._v
                else:
                    return self._parent_id < other._parent_id
            else:
                return id(self) < id(other)
        except:
            return id(self) < id(other)

    def enumitem_le(self, other):
        try:
            if isinstance(other, omniORB.EnumItem):
                if other._parent_id == self._parent_id:
                    return self._v <= other._v
                else:
                    return self._parent_id <= other._parent_id
            else:
                return id(self) <= id(other)
        except:
            return id(self) <= id(other)

    def enumitem_gt(self, other):
        try:
            if isinstance(other, omniORB.EnumItem):
                if other._parent_id == self._parent_id:
                    return self._v > other._v
                else:
                    return self._parent_id > other._parent_id
            else:
                return id(self) > id(other)
        except:
            return id(self) > id(other)

    def enumitem_ge(self, other):
        try:
            if isinstance(other, omniORB.EnumItem):
                if other._parent_id == self._parent_id:
                    return self._v >= other._v
                else:
                    return self._parent_id >= other._parent_id
            else:
                return id(self) >= id(other)
        except:
            return id(self) >= id(other)

    omniORB.EnumItem.__eq__ = enumitem_eq
    omniORB.EnumItem.__lt__ = enumitem_lt
    omniORB.EnumItem.__le__ = enumitem_le
    omniORB.EnumItem.__gt__ = enumitem_gt
    omniORB.EnumItem.__ge__ = enumitem_ge


class MeshMeta(type):
    """Private class used to workaround a problem that sometimes isinstance(m, Mesh) returns False
    """
    def __instancecheck__(cls, inst):
        """Implement isinstance(inst, cls)."""
        return any(cls.__subclasscheck__(c)
                   for c in {type(inst), inst.__class__})

    def __subclasscheck__(cls, sub):
        """Implement issubclass(sub, cls)."""
        return type.__subclasscheck__(cls, sub) or (cls.__name__ == sub.__name__ and cls.__module__ == sub.__module__)

def DegreesToRadians(AngleInDegrees):
    """Convert an angle from degrees to radians
    """
    from math import pi
    return AngleInDegrees * pi / 180.0

import salome_notebook
notebook = salome_notebook.notebook
# Salome notebook variable separator
var_separator = ":"

def ParseParameters(*args):
    """
    Return list of variable values from salome notebook.
    The last argument, if is callable, is used to modify values got from notebook
    """
    Result = []
    Parameters = ""
    hasVariables = False
    varModifFun=None
    if args and callable(args[-1]):
        args, varModifFun = args[:-1], args[-1]
    for parameter in args:

        Parameters += str(parameter) + var_separator

        if isinstance(parameter,str):
            # check if there is an inexistent variable name
            if not notebook.isVariable(parameter):
                raise ValueError("Variable with name '" + parameter + "' doesn't exist!!!")
            parameter = notebook.get(parameter)
            hasVariables = True
            if varModifFun:
                parameter = varModifFun(parameter)
                pass
            pass
        Result.append(parameter)

        pass
    Parameters = Parameters[:-1]
    Result.append( Parameters )
    Result.append( hasVariables )
    return Result

def ParseAngles(*args):
    """
    Parse parameters while converting variables to radians
    """
    return ParseParameters( *( args + (DegreesToRadians, )))

def __initPointStruct(point,*args):
    """
    Substitute PointStruct.__init__() to create SMESH.PointStruct using notebook variables.
    Parameters are stored in PointStruct.parameters attribute
    """
    point.x, point.y, point.z, point.parameters,hasVars = ParseParameters(*args)
    pass
SMESH.PointStruct.__init__ = __initPointStruct

def __initAxisStruct(ax,*args):
    """
    Substitute AxisStruct.__init__() to create SMESH.AxisStruct using notebook variables.
    Parameters are stored in AxisStruct.parameters attribute
    """
    if len( args ) != 6:
        raise RuntimeError("Bad nb args (%s) passed in SMESH.AxisStruct(x,y,z,dx,dy,dz)"%(len( args )))
    ax.x, ax.y, ax.z, ax.vx, ax.vy, ax.vz, ax.parameters,hasVars = ParseParameters(*args)
    pass
SMESH.AxisStruct.__init__ = __initAxisStruct

smeshPrecisionConfusion = 1.e-07
def IsEqual(val1, val2, tol=smeshPrecisionConfusion):
    """Compare real values using smeshPrecisionConfusion as tolerance
    """
    if abs(val1 - val2) < tol:
        return True
    return False

NO_NAME = "NoName"

def GetName(obj):
    """
    Return a name of an object
    
    Returns:
        object name
    """
    if obj:
        # object not null
        if isinstance(obj, SALOMEDS._objref_SObject):
            # study object
            return obj.GetName()
        try:
            ior  = salome.orb.object_to_string(obj)
        except:
            ior = None
        if ior:
            sobj = salome.myStudy.FindObjectIOR(ior)
            if sobj:
                return sobj.GetName()
            if hasattr(obj, "GetName"):
                # unknown CORBA object, having GetName() method
                return obj.GetName()
            else:
                # unknown CORBA object, no GetName() method
                return NO_NAME
            pass
        if hasattr(obj, "GetName"):
            # unknown non-CORBA object, having GetName() method
            return obj.GetName()
        pass
    raise RuntimeError("Null or invalid object")

def TreatHypoStatus(status, hypName, geomName, isAlgo, mesh):
    """
    Print error message if a hypothesis was not assigned.
    """
    if isAlgo:
        hypType = "algorithm"
    else:
        hypType = "hypothesis"
        pass
    reason = ""
    if hasattr( status, "__getitem__" ):
        status, reason = status[0], status[1]
    if status == HYP_UNKNOWN_FATAL:
        reason = "for unknown reason"
    elif status == HYP_INCOMPATIBLE:
        reason = "this hypothesis mismatches the algorithm"
    elif status == HYP_NOTCONFORM:
        reason = "a non-conform mesh would be built"
    elif status == HYP_ALREADY_EXIST:
        if isAlgo: return # it does not influence anything
        reason = hypType + " of the same dimension is already assigned to this shape"
    elif status == HYP_BAD_DIM:
        reason = hypType + " mismatches the shape"
    elif status == HYP_CONCURRENT :
        reason = "there are concurrent hypotheses on sub-shapes"
    elif status == HYP_BAD_SUBSHAPE:
        reason = "the shape is neither the main one, nor its sub-shape, nor a valid group"
    elif status == HYP_BAD_GEOMETRY:
        reason = "the algorithm is not applicable to this geometry"
    elif status == HYP_HIDDEN_ALGO:
        reason = "it is hidden by an algorithm of an upper dimension, which generates elements of all dimensions"
    elif status == HYP_HIDING_ALGO:
        reason = "it hides algorithms of lower dimensions by generating elements of all dimensions"
    elif status == HYP_NEED_SHAPE:
        reason = "algorithm can't work without shape"
    elif status == HYP_INCOMPAT_HYPS:
        pass
    else:
        return
    where = geomName
    if where:
        where = '"%s"' % geomName
        if mesh:
            meshName = GetName( mesh )
            if meshName and meshName != NO_NAME:
                where = '"%s" shape in "%s" mesh ' % ( geomName, meshName )
    if status < HYP_UNKNOWN_FATAL and where:
        print('"%s" was assigned to %s but %s' %( hypName, where, reason ))
    elif where:
        print('"%s" was not assigned to %s : %s' %( hypName, where, reason ))
    else:
        print('"%s" was not assigned : %s' %( hypName, reason ))
        pass

def AssureGeomPublished(mesh, geom, name=''):
    """
    Private method. Add geom (sub-shape of the main shape) into the study if not yet there
    """
    if not mesh.smeshpyD.IsEnablePublish():
        return
    if not hasattr( geom, "GetShapeType" ):
        return
    if not geom.GetStudyEntry():
        ## get a name
        if not name and geom.GetShapeType() != geomBuilder.GEOM.COMPOUND:
            # for all groups SubShapeName() return "Compound_-1"
            name = mesh.geompyD.SubShapeName(geom, mesh.geom)
        if not name:
            name = "%s_%s"%(geom.GetShapeType(), id(geom)%10000)
        ## publish
        mesh.geompyD.addToStudyInFather( mesh.geom, geom, name )
    return

# def FirstVertexOnCurve(mesh, edge):
#     """
#     Returns:
#         the first vertex of a geometrical edge by ignoring orientation
#     """
#     return mesh.geompyD.GetVertexByIndex( edge, 0, False )


smeshInst = None
"""
Warning:
    smeshInst is a singleton
"""
engine = None
doLcc = False
created = False

class smeshBuilder( SMESH._objref_SMESH_Gen, object ):
    """
    This class allows to create, load or manipulate meshes.
    It has a set of methods to create, load or copy meshes, to combine several meshes, etc.
    It also has methods to get infos and measure meshes.
    """

    # MirrorType enumeration
    POINT = SMESH_MeshEditor.POINT
    AXIS =  SMESH_MeshEditor.AXIS
    PLANE = SMESH_MeshEditor.PLANE

    # Smooth_Method enumeration
    LAPLACIAN_SMOOTH = SMESH_MeshEditor.LAPLACIAN_SMOOTH
    CENTROIDAL_SMOOTH = SMESH_MeshEditor.CENTROIDAL_SMOOTH

    PrecisionConfusion = smeshPrecisionConfusion

    # TopAbs_State enumeration
    [TopAbs_IN, TopAbs_OUT, TopAbs_ON, TopAbs_UNKNOWN] = list(range(4))

    # Methods of splitting a hexahedron into tetrahedra
    Hex_5Tet, Hex_6Tet, Hex_24Tet, Hex_2Prisms, Hex_4Prisms = 1, 2, 3, 1, 2

    def __new__(cls, *args):
        global engine
        global smeshInst
        global doLcc
        #print("==== __new__", engine, smeshInst, doLcc)

        if smeshInst is None:
            # smesh engine is either retrieved from engine, or created
            smeshInst = engine
            # Following test avoids a recursive loop
            if doLcc:
                if smeshInst is not None:
                    # smesh engine not created: existing engine found
                    doLcc = False
                if doLcc:
                    doLcc = False
                    # FindOrLoadComponent called:
                    # 1. CORBA resolution of server
                    # 2. the __new__ method is called again
                    #print("==== smeshInst = lcc.FindOrLoadComponent ", engine, smeshInst, doLcc)
                    smeshInst = salome.lcc.FindOrLoadComponent( "FactoryServer", "SMESH" )
            else:
                # FindOrLoadComponent not called
                if smeshInst is None:
                    # smeshBuilder instance is created from lcc.FindOrLoadComponent
                    #print("==== smeshInst = super(smeshBuilder,cls).__new__(cls) ", engine, smeshInst, doLcc)
                    smeshInst = super(smeshBuilder,cls).__new__(cls)
                else:
                    # smesh engine not created: existing engine found
                    #print("==== existing ", engine, smeshInst, doLcc)
                    pass
            #print("====1 ", smeshInst)
            return smeshInst

        #print("====2 ", smeshInst)
        return smeshInst

    def __init__(self, *args):
        global created
        #print("--------------- smeshbuilder __init__ ---", created)
        if not created:
            created = True
            SMESH._objref_SMESH_Gen.__init__(self, *args)


    def DumpPython(self, theStudy, theIsPublished=True, theIsMultiFile=True):
        """
        Dump component to the Python script.
        This method overrides IDL function to allow default values for the parameters.
        """

        return SMESH._objref_SMESH_Gen.DumpPython(self, theStudy, theIsPublished, theIsMultiFile)

    def SetDumpPythonHistorical(self, isHistorical):
        """
        Set mode of DumpPython(), *historical* or *snapshot*.
        In the *historical* mode, the Python Dump script includes all commands
        performed by SMESH engine. In the *snapshot* mode, commands
        relating to objects removed from the Study are excluded from the script
        as well as commands not influencing the current state of meshes
        """

        if isHistorical: val = "true"
        else:            val = "false"
        SMESH._objref_SMESH_Gen.SetOption(self, "historical_python_dump", val)

    def init_smesh(self,geompyD = None):
        """
        Set Geometry component
        """    
        #print("init_smesh")
        self.UpdateStudy(geompyD)
        notebook.myStudy = salome.myStudy

    def Mesh(self, obj=0, name=0):
        """
        Create a mesh. This mesh can be either 

        * an empty mesh not bound to geometry, if *obj* == 0
        * an empty mesh bound to geometry, if *obj* is GEOM.GEOM_Object
        * a mesh wrapping a :class:`CORBA mesh <SMESH.SMESH_Mesh>` given as *obj* parameter.

        Parameters:
            obj: either 

                   1. a :class:`CORBA mesh <SMESH.SMESH_Mesh>` got by calling e.g.
                      ::

                        salome.myStudy.FindObjectID("0:1:2:3").GetObject() 

                   2. a geometrical object for meshing
                   3. none.
            name: the name for the new mesh.

        Returns:
            an instance of class :class:`Mesh`.
        """

        if isinstance(obj,str):
            obj,name = name,obj
        return Mesh(self, self.geompyD, obj, name)

    def RemoveMesh( self, mesh ):
        """
        Delete a mesh
        """
        if isinstance( mesh, Mesh ):
            mesh = mesh.GetMesh()
            pass
        if not isinstance( mesh, SMESH._objref_SMESH_Mesh ):
            raise TypeError("%s is not a mesh" % mesh )
        so = salome.ObjectToSObject( mesh )
        if so:
            sb = salome.myStudy.NewBuilder()
            sb.RemoveObjectWithChildren( so )
        else:
            mesh.UnRegister()
            pass
        return

    def EnumToLong(self,theItem):
        """
        Return a long value from enumeration
        """

        return theItem._v

    def ColorToString(self,c):
        """
        Convert SALOMEDS.Color to string.
        To be used with filters.

        Parameters:
            c: color value (SALOMEDS.Color)

        Returns:
            a string representation of the color.
        """

        val = ""
        if isinstance(c, SALOMEDS.Color):
            val = "%s;%s;%s" % (c.R, c.G, c.B)
        elif isinstance(c, str):
            val = c
        else:
            raise ValueError("Color value should be of string or SALOMEDS.Color type")
        return val

    def GetPointStruct(self,theVertex):
        """
        Get :class:`SMESH.PointStruct` from vertex

        Parameters:
                theVertex (GEOM.GEOM_Object): vertex

        Returns:
                :class:`SMESH.PointStruct`
        """
        geompyD = theVertex.GetGen()
        [x, y, z] = geompyD.PointCoordinates(theVertex)
        return PointStruct(x,y,z)

    def GetDirStruct(self,theVector):
        """
        Get :class:`SMESH.DirStruct` from vector

        Parameters:
                theVector (GEOM.GEOM_Object): vector

        Returns:
                :class:`SMESH.DirStruct`
        """
        geompyD = theVector.GetGen()
        vertices = geompyD.SubShapeAll( theVector, geomBuilder.geomBuilder.ShapeType["VERTEX"] )
        if(len(vertices) != 2):
            print("Error: vector object is incorrect.")
            return None
        p1 = geompyD.PointCoordinates(vertices[0])
        p2 = geompyD.PointCoordinates(vertices[1])
        pnt = PointStruct(p2[0]-p1[0], p2[1]-p1[1], p2[2]-p1[2])
        dirst = DirStruct(pnt)
        return dirst

    def MakeDirStruct(self,x,y,z):
        """
        Make :class:`SMESH.DirStruct` from a triplet of floats

        Parameters:
                x,y,z (float): vector components

        Returns:
                :class:`SMESH.DirStruct`
        """

        pnt = PointStruct(x,y,z)
        return DirStruct(pnt)

    def GetAxisStruct(self,theObj):
        """
        Get :class:`SMESH.AxisStruct` from a geometrical object

        Parameters:
            theObj (GEOM.GEOM_Object): line or plane

        Returns:
            :class:`SMESH.AxisStruct`
        """
        import GEOM
        geompyD = theObj.GetGen()
        edges = geompyD.SubShapeAll( theObj, geomBuilder.geomBuilder.ShapeType["EDGE"] )
        axis = None
        if len(edges) > 1:
            vertex1, vertex2 = geompyD.SubShapeAll( edges[0], geomBuilder.geomBuilder.ShapeType["VERTEX"] )
            vertex3, vertex4 = geompyD.SubShapeAll( edges[1], geomBuilder.geomBuilder.ShapeType["VERTEX"] )
            vertex1 = geompyD.PointCoordinates(vertex1)
            vertex2 = geompyD.PointCoordinates(vertex2)
            vertex3 = geompyD.PointCoordinates(vertex3)
            vertex4 = geompyD.PointCoordinates(vertex4)
            v1 = [vertex2[0]-vertex1[0], vertex2[1]-vertex1[1], vertex2[2]-vertex1[2]]
            v2 = [vertex4[0]-vertex3[0], vertex4[1]-vertex3[1], vertex4[2]-vertex3[2]]
            normal = [ v1[1]*v2[2]-v2[1]*v1[2], v1[2]*v2[0]-v2[2]*v1[0], v1[0]*v2[1]-v2[0]*v1[1] ]
            axis = AxisStruct(vertex1[0], vertex1[1], vertex1[2], normal[0], normal[1], normal[2])
            axis._mirrorType = SMESH.SMESH_MeshEditor.PLANE
        elif len(edges) == 1:
            vertex1, vertex2 = geompyD.SubShapeAll( edges[0], geomBuilder.geomBuilder.ShapeType["VERTEX"] )
            p1 = geompyD.PointCoordinates( vertex1 )
            p2 = geompyD.PointCoordinates( vertex2 )
            axis = AxisStruct(p1[0], p1[1], p1[2], p2[0]-p1[0], p2[1]-p1[1], p2[2]-p1[2])
            axis._mirrorType = SMESH.SMESH_MeshEditor.AXIS
        elif theObj.GetShapeType() == GEOM.VERTEX:
            x,y,z = geompyD.PointCoordinates( theObj )
            axis = AxisStruct( x,y,z, 1,0,0,)
            axis._mirrorType = SMESH.SMESH_MeshEditor.POINT
        return axis

    # From SMESH_Gen interface:
    # ------------------------

    def SetName(self, obj, name):
        """
        Set the given name to an object

        Parameters:
                obj: the object to rename
                name: a new object name
        """

        if isinstance( obj, Mesh ):
            obj = obj.GetMesh()
        elif isinstance( obj, Mesh_Algorithm ):
            obj = obj.GetAlgorithm()
        ior  = salome.orb.object_to_string(obj)
        SMESH._objref_SMESH_Gen.SetName(self, ior, name)

    def SetEmbeddedMode( self,theMode ):
        """
        Set the current mode
        """

        SMESH._objref_SMESH_Gen.SetEmbeddedMode(self,theMode)

    def IsEmbeddedMode(self):
        """
        Get the current mode
        """

        return SMESH._objref_SMESH_Gen.IsEmbeddedMode(self)

    def UpdateStudy( self, geompyD = None  ):
        """
        Update the current study. Calling UpdateStudy() allows to
        update meshes at switching GEOM->SMESH
        """
        #self.UpdateStudy()
        if not geompyD:
            from salome.geom import geomBuilder
            geompyD = geomBuilder.geom
            if not geompyD:
                geompyD = geomBuilder.New()
            pass
        self.geompyD=geompyD
        self.SetGeomEngine(geompyD)
        SMESH._objref_SMESH_Gen.UpdateStudy(self)
        sb = salome.myStudy.NewBuilder()
        sc = salome.myStudy.FindComponent("SMESH")
        if sc:
            sb.LoadWith(sc, self)
        pass
    
    def SetEnablePublish( self, theIsEnablePublish ):
        """
        Set enable publishing in the study. Calling SetEnablePublish( False ) allows to
        switch **off** publishing in the Study of mesh objects.
        """
       #self.SetEnablePublish(theIsEnablePublish)
        SMESH._objref_SMESH_Gen.SetEnablePublish(self,theIsEnablePublish)
        global notebook
        notebook = salome_notebook.NoteBook( theIsEnablePublish )


    def CreateMeshesFromUNV( self,theFileName ):
        """
        Create a Mesh object importing data from the given UNV file

        Returns:
                an instance of class :class:`Mesh`
        """

        aSmeshMesh = SMESH._objref_SMESH_Gen.CreateMeshesFromUNV(self,theFileName)
        aMesh = Mesh(self, self.geompyD, aSmeshMesh)
        return aMesh

    def CreateMeshesFromMED( self,theFileName ):
        """
        Create a Mesh object(s) importing data from the given MED file

        Returns:
                a tuple ( list of class :class:`Mesh` instances, 
                :class:`SMESH.DriverMED_ReadStatus` )
        """

        aSmeshMeshes, aStatus = SMESH._objref_SMESH_Gen.CreateMeshesFromMED(self,theFileName)
        aMeshes = [ Mesh(self, self.geompyD, m) for m in aSmeshMeshes ]
        return aMeshes, aStatus

    def CreateMeshesFromSAUV( self,theFileName ):
        """
        Create a Mesh object(s) importing data from the given SAUV file

        Returns:
                a tuple ( list of class :class:`Mesh` instances, :class:`SMESH.DriverMED_ReadStatus` )
        """

        aSmeshMeshes, aStatus = SMESH._objref_SMESH_Gen.CreateMeshesFromSAUV(self,theFileName)
        aMeshes = [ Mesh(self, self.geompyD, m) for m in aSmeshMeshes ]
        return aMeshes, aStatus

    def CreateMeshesFromSTL( self, theFileName ):
        """
        Create a Mesh object importing data from the given STL file

        Returns:
                an instance of class :class:`Mesh`
        """

        aSmeshMesh = SMESH._objref_SMESH_Gen.CreateMeshesFromSTL(self,theFileName)
        aMesh = Mesh(self, self.geompyD, aSmeshMesh)
        return aMesh

    def CreateMeshesFromCGNS( self, theFileName ):
        """
        Create Mesh objects importing data from the given CGNS file

        Returns:
                a tuple ( list of class :class:`Mesh` instances, :class:`SMESH.DriverMED_ReadStatus` )
        """

        aSmeshMeshes, aStatus = SMESH._objref_SMESH_Gen.CreateMeshesFromCGNS(self,theFileName)
        aMeshes = [ Mesh(self, self.geompyD, m) for m in aSmeshMeshes ]
        return aMeshes, aStatus

    def CreateMeshesFromGMF( self, theFileName ):
        """
        Create a Mesh object importing data from the given GMF file.
        GMF files must have .mesh extension for the ASCII format and .meshb for
        the binary format.

        Returns:
                ( an instance of class :class:`Mesh`, :class:`SMESH.ComputeError` )
        """

        aSmeshMesh, error = SMESH._objref_SMESH_Gen.CreateMeshesFromGMF(self,
                                                                        theFileName,
                                                                        True)
        if error.comment: print("*** CreateMeshesFromGMF() errors:\n", error.comment)
        return Mesh(self, self.geompyD, aSmeshMesh), error

    def Concatenate( self, meshes, uniteIdenticalGroups,
                     mergeNodesAndElements = False, mergeTolerance = 1e-5, allGroups = False,
                     name = "", meshToAppendTo = None):
        """
        Concatenate the given meshes into one mesh, optionally to meshToAppendTo.
        All groups of input meshes will be present in the new mesh.

        Parameters:
                meshes: :class:`meshes, sub-meshes, groups or filters <SMESH.SMESH_IDSource>` to combine into one mesh
                uniteIdenticalGroups: if True, groups with same names are united, else they are renamed
                mergeNodesAndElements: if True, equal nodes and elements are merged
                mergeTolerance: tolerance for merging nodes
                allGroups: forces creation of groups corresponding to every input mesh
                name: name of a new mesh
                meshToAppendTo: a mesh to append all given meshes

        Returns:
                an instance of class :class:`Mesh`

        See also: 
                :meth:`Mesh.Append`
        """

        if not meshes: return None
        if not isinstance( meshes, list ):
            meshes = [ meshes ]
        for i,m in enumerate( meshes ):
            if isinstance( m, Mesh ):
                meshes[i] = m.GetMesh()
        mergeTolerance,Parameters,hasVars = ParseParameters( mergeTolerance )
        if hasattr(meshes[0], "SetParameters"):
            meshes[0].SetParameters( Parameters )
        else:
            meshes[0].GetMesh().SetParameters( Parameters )
        if isinstance( meshToAppendTo, Mesh ):
            meshToAppendTo = meshToAppendTo.GetMesh()
        if allGroups:
            aSmeshMesh = SMESH._objref_SMESH_Gen.ConcatenateWithGroups(
                self,meshes,uniteIdenticalGroups,mergeNodesAndElements,
                mergeTolerance,meshToAppendTo )
        else:
            aSmeshMesh = SMESH._objref_SMESH_Gen.Concatenate(
                self,meshes,uniteIdenticalGroups,mergeNodesAndElements,
                mergeTolerance,meshToAppendTo )

        aMesh = Mesh( self, self.geompyD, aSmeshMesh, name=name )
        return aMesh

    def CopyMesh( self, meshPart, meshName, toCopyGroups=False, toKeepIDs=False):
        """
        Create a mesh by copying a part of another mesh.

        Parameters:
                meshPart: a part of mesh to copy, either 
                        :class:`mesh, sub-mesh, group or filter <SMESH.SMESH_IDSource>`.
                        To copy nodes or elements not forming any mesh object,
                        pass result of :meth:`Mesh.GetIDSource` as *meshPart*
                meshName: a name of the new mesh
                toCopyGroups: to create in the new mesh groups the copied elements belongs to
                toKeepIDs: to preserve order of the copied elements or not

        Returns:
                an instance of class :class:`Mesh`
        """

        if isinstance( meshPart, Mesh ):
            meshPart = meshPart.GetMesh()
        mesh = SMESH._objref_SMESH_Gen.CopyMesh( self,meshPart,meshName,toCopyGroups,toKeepIDs )
        return Mesh(self, self.geompyD, mesh)

    def CopyMeshWithGeom( self, sourceMesh, newGeom, meshName="", toCopyGroups=True,
                          toReuseHypotheses=True, toCopyElements=True):
        """
        Create a mesh by copying a mesh definition (hypotheses and groups) to a new geometry.
        It is supposed that the new geometry is a modified geometry of *sourceMesh*.
        To facilitate and speed up the operation, consider using
        "Set presentation parameters and sub-shapes from arguments" option in
        a dialog of geometrical operation used to create the new geometry.

        Parameters:
                sourceMesh: the mesh to copy definition of.
                newGeom: the new geometry.
                meshName: an optional name of the new mesh. If omitted, the mesh name is kept.
                toCopyGroups: to create groups in the new mesh.
                toReuseHypotheses: to reuse hypotheses of the *sourceMesh*.
                toCopyElements: to copy mesh elements present on non-modified sub-shapes of 
                                *sourceMesh*.
        Returns:
                tuple ( ok, newMesh, newGroups, newSubMeshes, newHypotheses, invalidEntries )
                *invalidEntries* are study entries of objects whose
                counterparts are not found in the *newGeom*, followed by entries
                of mesh sub-objects that are invalid because they depend on a not found
                preceding sub-shape
        """
        if isinstance( sourceMesh, Mesh ):
            sourceMesh = sourceMesh.GetMesh()

        ok, newMesh, newGroups, newSubMeshes, newHypotheses, invalidEntries = \
           SMESH._objref_SMESH_Gen.CopyMeshWithGeom( self, sourceMesh, newGeom, meshName,
                                                     toCopyGroups,
                                                     toReuseHypotheses,
                                                     toCopyElements)
        return ( ok, Mesh(self, self.geompyD, newMesh),
                 newGroups, newSubMeshes, newHypotheses, invalidEntries )

    def GetSubShapesId( self, theMainObject, theListOfSubObjects ):
        """
        Return IDs of sub-shapes

        Parameters:
                theMainObject (GEOM.GEOM_Object): a shape
                theListOfSubObjects: sub-shapes (list of GEOM.GEOM_Object)
        Returns:
                the list of integer values
        """

        return SMESH._objref_SMESH_Gen.GetSubShapesId(self,theMainObject, theListOfSubObjects)

    def GetPattern(self):
        """
        Create a pattern mapper.

        Returns:
                an instance of :class:`SMESH.SMESH_Pattern`

        :ref:`Example of Patterns usage <tui_pattern_mapping>`
        """

        return SMESH._objref_SMESH_Gen.GetPattern(self)

    def SetBoundaryBoxSegmentation(self, nbSegments):
        """
        Set number of segments per diagonal of boundary box of geometry, by which
        default segment length of appropriate 1D hypotheses is defined in GUI.
        Default value is 10.
        """

        SMESH._objref_SMESH_Gen.SetBoundaryBoxSegmentation(self,nbSegments)

    # Filtering. Auxiliary functions:
    # ------------------------------

    def GetEmptyCriterion(self):
        """
        Create an empty criterion

        Returns:
                :class:`SMESH.Filter.Criterion`
        """

        Type = self.EnumToLong(FT_Undefined)
        Compare = self.EnumToLong(FT_Undefined)
        Threshold = 0
        ThresholdStr = ""
        ThresholdID = ""
        UnaryOp = self.EnumToLong(FT_Undefined)
        BinaryOp = self.EnumToLong(FT_Undefined)
        Tolerance = 1e-07
        TypeOfElement = ALL
        Precision = -1 ##@1e-07
        return Filter.Criterion(Type, Compare, Threshold, ThresholdStr, ThresholdID,
                                UnaryOp, BinaryOp, Tolerance, TypeOfElement, Precision)

    def GetCriterion(self,elementType,
                     CritType,
                     Compare = FT_EqualTo,
                     Threshold="",
                     UnaryOp=FT_Undefined,
                     BinaryOp=FT_Undefined,
                     Tolerance=1e-07):
        """
        Create a criterion by the given parameters
        Criterion structures allow to define complex filters by combining them with logical operations (AND / OR) (see example below)

        Parameters:
                elementType: the :class:`type of elements <SMESH.ElementType>` (SMESH.NODE, SMESH.EDGE, SMESH.FACE, SMESH.VOLUME)
                CritType: the type of criterion :class:`SMESH.FunctorType` (SMESH.FT_Taper, SMESH.FT_Area, etc.).
                        Note that the items starting from FT_LessThan are not suitable for *CritType*.
                Compare:  belongs to {SMESH.FT_LessThan, SMESH.FT_MoreThan, SMESH.FT_EqualTo}
                Threshold: the threshold value (range of ids as string, shape, numeric)
                UnaryOp:  SMESH.FT_LogicalNOT or SMESH.FT_Undefined
                BinaryOp: a binary logical operation SMESH.FT_LogicalAND, SMESH.FT_LogicalOR or
                        SMESH.FT_Undefined
                Tolerance: the tolerance used by SMESH.FT_BelongToGeom, SMESH.FT_BelongToSurface,
                        SMESH.FT_LyingOnGeom, SMESH.FT_CoplanarFaces criteria

        Returns:
                :class:`SMESH.Filter.Criterion`

        Example: :ref:`combining_filters`
        """

        if not CritType in SMESH.FunctorType._items:
            raise TypeError("CritType should be of SMESH.FunctorType")
        aCriterion               = self.GetEmptyCriterion()
        aCriterion.TypeOfElement = elementType
        aCriterion.Type          = self.EnumToLong(CritType)
        aCriterion.Tolerance     = Tolerance

        aThreshold = Threshold

        if Compare in [FT_LessThan, FT_MoreThan, FT_EqualTo]:
            aCriterion.Compare = self.EnumToLong(Compare)
        elif Compare == "=" or Compare == "==":
            aCriterion.Compare = self.EnumToLong(FT_EqualTo)
        elif Compare == "<":
            aCriterion.Compare = self.EnumToLong(FT_LessThan)
        elif Compare == ">":
            aCriterion.Compare = self.EnumToLong(FT_MoreThan)
        elif Compare != FT_Undefined:
            aCriterion.Compare = self.EnumToLong(FT_EqualTo)
            aThreshold = Compare

        if CritType in [FT_BelongToGeom,     FT_BelongToPlane, FT_BelongToGenSurface,
                        FT_BelongToCylinder, FT_LyingOnGeom]:
            # Check that Threshold is GEOM object
            if isinstance(aThreshold, geomBuilder.GEOM._objref_GEOM_Object):
                aCriterion.ThresholdStr = GetName(aThreshold)
                aCriterion.ThresholdID  = aThreshold.GetStudyEntry()
                if not aCriterion.ThresholdID:
                    name = aCriterion.ThresholdStr
                    if not name:
                        name = "%s_%s"%(aThreshold.GetShapeType(), id(aThreshold)%10000)
                    geompyD = aThreshold.GetGen()
                    aCriterion.ThresholdID = geompyD.addToStudy( aThreshold, name )
            # or a name of GEOM object
            elif isinstance( aThreshold, str ):
                aCriterion.ThresholdStr = aThreshold
            else:
                raise TypeError("The Threshold should be a shape.")
            if isinstance(UnaryOp,float):
                aCriterion.Tolerance = UnaryOp
                UnaryOp = FT_Undefined
                pass
        elif CritType == FT_BelongToMeshGroup:
            # Check that Threshold is a group
            if isinstance(aThreshold, SMESH._objref_SMESH_GroupBase):
                if aThreshold.GetType() != elementType:
                    raise ValueError("Group type mismatches Element type")
                aCriterion.ThresholdStr = aThreshold.GetName()
                aCriterion.ThresholdID  = salome.orb.object_to_string( aThreshold )
                study = salome.myStudy
                if study:
                    so = study.FindObjectIOR( aCriterion.ThresholdID )
                    if so:
                        entry = so.GetID()
                        if entry:
                            aCriterion.ThresholdID = entry
            else:
                raise TypeError("The Threshold should be a Mesh Group")
        elif CritType == FT_RangeOfIds:
            # Check that Threshold is string
            if isinstance(aThreshold, str):
                aCriterion.ThresholdStr = aThreshold
            else:
                raise TypeError("The Threshold should be a string.")
        elif CritType == FT_CoplanarFaces:
            # Check the Threshold
            if isinstance(aThreshold, int):
                aCriterion.ThresholdID = str(aThreshold)
            elif isinstance(aThreshold, str):
                ID = int(aThreshold)
                if ID < 1:
                    raise ValueError("Invalid ID of mesh face: '%s'"%aThreshold)
                aCriterion.ThresholdID = aThreshold
            else:
                raise TypeError("The Threshold should be an ID of mesh face and not '%s'"%aThreshold)
        elif CritType == FT_ConnectedElements:
            # Check the Threshold
            if isinstance(aThreshold, geomBuilder.GEOM._objref_GEOM_Object): # shape
                aCriterion.ThresholdID = aThreshold.GetStudyEntry()
                if not aCriterion.ThresholdID:
                    name = aThreshold.GetName()
                    if not name:
                        name = "%s_%s"%(aThreshold.GetShapeType(), id(aThreshold)%10000)
                    geompyD = aThreshold.GetGen()
                    aCriterion.ThresholdID = geompyD.addToStudy( aThreshold, name )
            elif isinstance(aThreshold, int): # node id
                aCriterion.Threshold = aThreshold
            elif isinstance(aThreshold, list): # 3 point coordinates
                if len( aThreshold ) < 3:
                    raise ValueError("too few point coordinates, must be 3")
                aCriterion.ThresholdStr = " ".join( [str(c) for c in aThreshold[:3]] )
            elif isinstance(aThreshold, str):
                if aThreshold.isdigit():
                    aCriterion.Threshold = aThreshold # node id
                else:
                    aCriterion.ThresholdStr = aThreshold # hope that it's point coordinates
            else:
                raise TypeError("The Threshold should either a VERTEX, or a node ID, "\
                      "or a list of point coordinates and not '%s'"%aThreshold)
        elif CritType == FT_ElemGeomType:
            # Check the Threshold
            try:
                aCriterion.Threshold = self.EnumToLong(aThreshold)
                assert( aThreshold in SMESH.GeometryType._items )
            except:
                if isinstance(aThreshold, int):
                    aCriterion.Threshold = aThreshold
                else:
                    raise TypeError("The Threshold should be an integer or SMESH.GeometryType.")
                pass
            pass
        elif CritType == FT_EntityType:
            # Check the Threshold
            try:
                aCriterion.Threshold = self.EnumToLong(aThreshold)
                assert( aThreshold in SMESH.EntityType._items )
            except:
                if isinstance(aThreshold, int):
                    aCriterion.Threshold = aThreshold
                else:
                    raise TypeError("The Threshold should be an integer or SMESH.EntityType.")
                pass
            pass

        elif CritType == FT_GroupColor:
            # Check the Threshold
            try:
                aCriterion.ThresholdStr = self.ColorToString(aThreshold)
            except:
                raise TypeError("The threshold value should be of SALOMEDS.Color type")
            pass
        elif CritType in [FT_FreeBorders, FT_FreeEdges, FT_FreeNodes, FT_FreeFaces,
                          FT_LinearOrQuadratic, FT_BadOrientedVolume,
                          FT_BareBorderFace, FT_BareBorderVolume,
                          FT_OverConstrainedFace, FT_OverConstrainedVolume,
                          FT_EqualNodes,FT_EqualEdges,FT_EqualFaces,FT_EqualVolumes ]:
            # At this point the Threshold is unnecessary
            if aThreshold ==  FT_LogicalNOT:
                aCriterion.UnaryOp = self.EnumToLong(FT_LogicalNOT)
            elif aThreshold in [FT_LogicalAND, FT_LogicalOR]:
                aCriterion.BinaryOp = aThreshold
        else:
            # Check Threshold
            try:
                aThreshold = float(aThreshold)
                aCriterion.Threshold = aThreshold
            except:
                raise TypeError("The Threshold should be a number.")
                return None

        if Threshold ==  FT_LogicalNOT or UnaryOp ==  FT_LogicalNOT:
            aCriterion.UnaryOp = self.EnumToLong(FT_LogicalNOT)

        if Threshold in [FT_LogicalAND, FT_LogicalOR]:
            aCriterion.BinaryOp = self.EnumToLong(Threshold)

        if UnaryOp in [FT_LogicalAND, FT_LogicalOR]:
            aCriterion.BinaryOp = self.EnumToLong(UnaryOp)

        if BinaryOp in [FT_LogicalAND, FT_LogicalOR]:
            aCriterion.BinaryOp = self.EnumToLong(BinaryOp)

        return aCriterion

    def GetFilter(self,elementType,
                  CritType=FT_Undefined,
                  Compare=FT_EqualTo,
                  Threshold="",
                  UnaryOp=FT_Undefined,
                  Tolerance=1e-07,
                  mesh=None):
        """
        Create a filter with the given parameters

        Parameters:
                elementType: the :class:`type of elements <SMESH.ElementType>` (SMESH.NODE, SMESH.EDGE, SMESH.FACE, SMESH.VOLUME)
                CritType: the :class:`type of criterion <SMESH.FunctorType>` (SMESH.FT_Taper, SMESH.FT_Area, etc.).
                        Note that the items starting from FT_LessThan are not suitable for CritType.
                Compare: belongs to {SMESH.FT_LessThan, SMESH.FT_MoreThan, SMESH.FT_EqualTo}
                Threshold: the threshold value (range of ids as string, shape, numeric)
                UnaryOp:  SMESH.FT_LogicalNOT or SMESH.FT_Undefined
                Tolerance: the tolerance used by SMESH.FT_BelongToGeom, SMESH.FT_BelongToSurface,
                        SMESH.FT_LyingOnGeom, SMESH.FT_CoplanarFaces and SMESH.FT_EqualNodes criteria
                mesh: the mesh to initialize the filter with

        Returns:
                :class:`SMESH.Filter`

        Examples:
               See :doc:`Filters usage examples <tui_filters>`
        """

        aCriterion = self.GetCriterion(elementType, CritType, Compare, Threshold, UnaryOp, FT_Undefined,Tolerance)
        aFilterMgr = self.CreateFilterManager()
        aFilter = aFilterMgr.CreateFilter()
        aCriteria = []
        aCriteria.append(aCriterion)
        aFilter.SetCriteria(aCriteria)
        if mesh:
            if isinstance( mesh, Mesh ): aFilter.SetMesh( mesh.GetMesh() )
            else                       : aFilter.SetMesh( mesh )
        aFilterMgr.UnRegister()
        return aFilter

    def GetFilterFromCriteria(self,criteria, binOp=SMESH.FT_LogicalAND):
        """
        Create a filter from criteria

        Parameters:
                criteria: a list of :class:`SMESH.Filter.Criterion`
                binOp: binary operator used when binary operator of criteria is undefined

        Returns:
                :class:`SMESH.Filter`

        Examples:
               See :doc:`Filters usage examples <tui_filters>`
        """

        for i in range( len( criteria ) - 1 ):
            if criteria[i].BinaryOp == self.EnumToLong( SMESH.FT_Undefined ):
                criteria[i].BinaryOp = self.EnumToLong( binOp )
        aFilterMgr = self.CreateFilterManager()
        aFilter = aFilterMgr.CreateFilter()
        aFilter.SetCriteria(criteria)
        aFilterMgr.UnRegister()
        return aFilter

    def GetFunctor(self,theCriterion):
        """
        Create a numerical functor by its type

        Parameters:
                theCriterion (SMESH.FunctorType): functor type.
                        Note that not all items correspond to numerical functors.

        Returns:
                :class:`SMESH.NumericalFunctor`
        """

        if isinstance( theCriterion, SMESH._objref_NumericalFunctor ):
            return theCriterion
        aFilterMgr = self.CreateFilterManager()
        functor = None
        if theCriterion == FT_AspectRatio:
            functor = aFilterMgr.CreateAspectRatio()
        elif theCriterion == FT_AspectRatio3D:
            functor = aFilterMgr.CreateAspectRatio3D()
        elif theCriterion == FT_Warping:
            functor = aFilterMgr.CreateWarping()
        elif theCriterion == FT_MinimumAngle:
            functor = aFilterMgr.CreateMinimumAngle()
        elif theCriterion == FT_Taper:
            functor = aFilterMgr.CreateTaper()
        elif theCriterion == FT_Skew:
            functor = aFilterMgr.CreateSkew()
        elif theCriterion == FT_Area:
            functor = aFilterMgr.CreateArea()
        elif theCriterion == FT_Volume3D:
            functor = aFilterMgr.CreateVolume3D()
        elif theCriterion == FT_MaxElementLength2D:
            functor = aFilterMgr.CreateMaxElementLength2D()
        elif theCriterion == FT_MaxElementLength3D:
            functor = aFilterMgr.CreateMaxElementLength3D()
        elif theCriterion == FT_MultiConnection:
            functor = aFilterMgr.CreateMultiConnection()
        elif theCriterion == FT_MultiConnection2D:
            functor = aFilterMgr.CreateMultiConnection2D()
        elif theCriterion == FT_Length:
            functor = aFilterMgr.CreateLength()
        elif theCriterion == FT_Length2D:
            functor = aFilterMgr.CreateLength2D()
        elif theCriterion == FT_Length3D:
            functor = aFilterMgr.CreateLength3D()
        elif theCriterion == FT_Deflection2D:
            functor = aFilterMgr.CreateDeflection2D()
        elif theCriterion == FT_NodeConnectivityNumber:
            functor = aFilterMgr.CreateNodeConnectivityNumber()
        elif theCriterion == FT_BallDiameter:
            functor = aFilterMgr.CreateBallDiameter()
        else:
            print("Error: given parameter is not numerical functor type.")
        aFilterMgr.UnRegister()
        return functor

    def CreateHypothesis(self, theHType, theLibName="libStdMeshersEngine.so"):
        """
        Create hypothesis

        Parameters:
                theHType (string): mesh hypothesis type
                theLibName (string): mesh plug-in library name

        Returns:
                created hypothesis instance
        """
        hyp = SMESH._objref_SMESH_Gen.CreateHypothesis(self, theHType, theLibName )

        if isinstance( hyp, SMESH._objref_SMESH_Algo ):
            return hyp

        # wrap hypothesis methods
        for meth_name in dir( hyp.__class__ ):
            if not meth_name.startswith("Get") and \
               not meth_name in dir ( SMESH._objref_SMESH_Hypothesis ):
                method = getattr ( hyp.__class__, meth_name )
                if callable(method):
                    setattr( hyp, meth_name, hypMethodWrapper( hyp, method ))

        return hyp

    def GetHypothesisParameterValues( self, hypType, libName, mesh, shape, initParams ):
        """
        Create hypothesis initialized according to parameters

        Parameters:
                hypType (string): hypothesis type
                libName (string): plug-in library name
                mesh: optional mesh by which a hypotheses can initialize self
                shape: optional geometry  by size of which a hypotheses can initialize self
                initParams: structure SMESH.HypInitParams defining how to initialize a hypothesis

        Returns:
                created hypothesis instance
        """
        if isinstance( mesh, Mesh ):
            mesh = mesh.GetMesh()
        if isinstance( initParams, (bool,int)):
            initParams = SMESH.HypInitParams( not initParams, 1.0, not mesh )
        return SMESH._objref_SMESH_Gen.GetHypothesisParameterValues(self, hypType, libName,
                                                                    mesh, shape, initParams )

    def GetMeshInfo(self, obj):
        """
        Get the mesh statistic.

        Returns:
                dictionary { :class:`SMESH.EntityType` - "count of elements" }
        """

        if isinstance( obj, Mesh ):
            obj = obj.GetMesh()
        d = {}
        if hasattr(obj, "GetMeshInfo"):
            values = obj.GetMeshInfo()
            for i in range(SMESH.Entity_Last._v):
                if i < len(values): d[SMESH.EntityType._item(i)]=values[i]
            pass
        return d

    def MinDistance(self, src1, src2=None, id1=0, id2=0, isElem1=False, isElem2=False):
        """
        Get minimum distance between two objects

        * If *src2* is None, and *id2* = 0, distance from *src1* / *id1* to the origin is computed.
        * If *src2* is None, and *id2* != 0, it is assumed that both *id1* and *id2* belong to *src1*.

        Parameters:
                src1 (SMESH.SMESH_IDSource): first source object
                src2 (SMESH.SMESH_IDSource): second source object
                id1 (int): node/element id from the first source
                id2 (int): node/element id from the second (or first) source
                isElem1 (boolean): *True* if *id1* is element id, *False* if it is node id
                isElem2 (boolean): *True* if *id2* is element id, *False* if it is node id

        Returns:
                minimum distance value

        See also: 
                :meth:`GetMinDistance`
        """

        result = self.GetMinDistance(src1, src2, id1, id2, isElem1, isElem2)
        if result is None:
            result = 0.0
        else:
            result = result.value
        return result

    def GetMinDistance(self, src1, src2=None, id1=0, id2=0, isElem1=False, isElem2=False):
        """
        Get :class:`SMESH.Measure` structure specifying minimum distance data between two objects

        * If *src2* is None, and *id2*  = 0, distance from *src1* / *id1* to the origin is computed.
        * If *src2* is None, and *id2* != 0, it is assumed that both *id1* and *id2* belong to *src1*.

        Parameters:
                src1 (SMESH.SMESH_IDSource): first source object
                src2 (SMESH.SMESH_IDSource): second source object
                id1 (int): node/element id from the first source
                id2 (int): node/element id from the second (or first) source
                isElem1 (boolean): *True* if **id1** is element id, *False* if it is node id
                isElem2 (boolean): *True* if **id2** is element id, *False* if it is node id

        Returns:
                :class:`SMESH.Measure` structure or None if input data is invalid
        See also: 
                :meth:`MinDistance`
        """

        if isinstance(src1, Mesh): src1 = src1.mesh
        if isinstance(src2, Mesh): src2 = src2.mesh
        if src2 is None and id2 != 0: src2 = src1
        if not hasattr(src1, "_narrow"): return None
        src1 = src1._narrow(SMESH.SMESH_IDSource)
        if not src1: return None
        unRegister = genObjUnRegister()
        if id1 != 0:
            m = src1.GetMesh()
            e = m.GetMeshEditor()
            if isElem1:
                src1 = e.MakeIDSource([id1], SMESH.FACE)
            else:
                src1 = e.MakeIDSource([id1], SMESH.NODE)
            unRegister.set( src1 )
            pass
        if hasattr(src2, "_narrow"):
            src2 = src2._narrow(SMESH.SMESH_IDSource)
            if src2 and id2 != 0:
                m = src2.GetMesh()
                e = m.GetMeshEditor()
                if isElem2:
                    src2 = e.MakeIDSource([id2], SMESH.FACE)
                else:
                    src2 = e.MakeIDSource([id2], SMESH.NODE)
                unRegister.set( src2 )
                pass
            pass
        aMeasurements = self.CreateMeasurements()
        unRegister.set( aMeasurements )
        result = aMeasurements.MinDistance(src1, src2)
        return result

    def BoundingBox(self, objects):
        """
        Get bounding box of the specified object(s)

        Parameters:
                objects (SMESH.SMESH_IDSource): single source object or list of source objects

        Returns:
                tuple of six values (minX, minY, minZ, maxX, maxY, maxZ)

        See also: 
               :meth:`GetBoundingBox`
        """

        result = self.GetBoundingBox(objects)
        if result is None:
            result = (0.0,)*6
        else:
            result = (result.minX, result.minY, result.minZ, result.maxX, result.maxY, result.maxZ)
        return result

    def GetBoundingBox(self, objects):
        """
        Get :class:`SMESH.Measure` structure specifying bounding box data of the specified object(s)

        Parameters:
                objects (SMESH.SMESH_IDSource): single source object or list of source objects

        Returns:
                :class:`SMESH.Measure` structure

        See also: 
                :meth:`BoundingBox`
        """

        if isinstance(objects, tuple):
            objects = list(objects)
        if not isinstance(objects, list):
            objects = [objects]
        srclist = []
        for o in objects:
            if isinstance(o, Mesh):
                srclist.append(o.mesh)
            elif hasattr(o, "_narrow"):
                src = o._narrow(SMESH.SMESH_IDSource)
                if src: srclist.append(src)
                pass
            pass
        aMeasurements = self.CreateMeasurements()
        result = aMeasurements.BoundingBox(srclist)
        aMeasurements.UnRegister()
        return result

    def GetLength(self, obj):
        """
        Get sum of lengths of all 1D elements in the mesh object.

        Parameters:
                obj: :class:`mesh, sub-mesh, group or filter <SMESH.SMESH_IDSource>`

        Returns:
                sum of lengths of all 1D elements
        """

        if isinstance(obj, Mesh): obj = obj.mesh
        if isinstance(obj, Mesh_Algorithm): obj = obj.GetSubMesh()
        aMeasurements = self.CreateMeasurements()
        value = aMeasurements.Length(obj)
        aMeasurements.UnRegister()
        return value

    def GetArea(self, obj):
        """
        Get sum of areas of all 2D elements in the mesh object.

        Parameters:
                obj: :class:`mesh, sub-mesh, group or filter <SMESH.SMESH_IDSource>`

        Returns:
                sum of areas of all 2D elements
        """

        if isinstance(obj, Mesh): obj = obj.mesh
        if isinstance(obj, Mesh_Algorithm): obj = obj.GetSubMesh()
        aMeasurements = self.CreateMeasurements()
        value = aMeasurements.Area(obj)
        aMeasurements.UnRegister()
        return value

    def GetVolume(self, obj):
        """
        Get sum of volumes of all 3D elements in the mesh object.

        Parameters:
                obj: :class:`mesh, sub-mesh, group or filter <SMESH.SMESH_IDSource>`

        Returns:
                sum of volumes of all 3D elements
        """

        if isinstance(obj, Mesh): obj = obj.mesh
        if isinstance(obj, Mesh_Algorithm): obj = obj.GetSubMesh()
        aMeasurements = self.CreateMeasurements()
        value = aMeasurements.Volume(obj)
        aMeasurements.UnRegister()
        return value

    def GetGravityCenter(self, obj):
        """
        Get gravity center of all nodes of a mesh object.
        
        Parameters:            
                obj: :class:`mesh, sub-mesh, group or filter <SMESH.SMESH_IDSource>`

        Returns:        
                Three components of the gravity center (x,y,z)

        See also: 
                :meth:`Mesh.BaryCenter`
        """
        if isinstance(obj, Mesh): obj = obj.mesh
        if isinstance(obj, Mesh_Algorithm): obj = obj.GetSubMesh()
        aMeasurements = self.CreateMeasurements()
        pointStruct = aMeasurements.GravityCenter(obj)
        aMeasurements.UnRegister()
        return pointStruct.x, pointStruct.y, pointStruct.z

    def GetAngle(self, p1, p2, p3 ):
        """
        Computes a radian measure of an angle defined by 3 points: <(p1,p2,p3)

        Parameters:            
                p1,p2,p3: coordinates of 3 points defined by either SMESH.PointStruct 
                          or list [x,y,z]

        Returns:        
            Angle in radians
        """
        if isinstance( p1, list ): p1 = PointStruct(*p1)
        if isinstance( p2, list ): p2 = PointStruct(*p2)
        if isinstance( p3, list ): p3 = PointStruct(*p3)

        aMeasurements = self.CreateMeasurements()
        angle = aMeasurements.Angle(p1,p2,p3)
        aMeasurements.UnRegister()

        return angle


    pass # end of class smeshBuilder

import omniORB
omniORB.registerObjref(SMESH._objref_SMESH_Gen._NP_RepositoryId, smeshBuilder)
"""Registering the new proxy for SMESH.SMESH_Gen"""


def New( instance=None, instanceGeom=None):
    """
    Create a new smeshBuilder instance. The smeshBuilder class provides the Python
    interface to create or load meshes.

    Typical use is::

        import salome
        salome.salome_init()
        from salome.smesh import smeshBuilder
        smesh = smeshBuilder.New()

    Parameters:
        instance:      CORBA proxy of SMESH Engine. If None, the default Engine is used.
        instanceGeom:  CORBA proxy of GEOM  Engine. If None, the default Engine is used.
    Returns:
        :class:`smeshBuilder` instance
    """
    global engine
    global smeshInst
    global doLcc
    if instance and isinstance( instance, SALOMEDS._objref_Study ):
        import sys
        sys.stderr.write("Warning: 'study' argument is no more needed in smeshBuilder.New(). Consider updating your script!!!\n\n")
        instance = None
    engine = instance
    if engine is None:
        doLcc = True
    smeshInst = smeshBuilder()
    assert isinstance(smeshInst,smeshBuilder), "Smesh engine class is %s but should be smeshBuilder.smeshBuilder. Import salome.smesh.smeshBuilder before creating the instance."%smeshInst.__class__
    smeshInst.init_smesh(instanceGeom)
    return smeshInst


# Public class: Mesh
# ==================


class Mesh(metaclass = MeshMeta):
    """
    This class allows defining and managing a mesh.
    It has a set of methods to build a mesh on the given geometry, including the definition of sub-meshes.
    It also has methods to define groups of mesh elements, to modify a mesh (by addition of
    new nodes and elements and by changing the existing entities), to get information
    about a mesh and to export a mesh in different formats.
    """    

    geom = 0
    mesh = 0
    editor = 0

    def __init__(self, smeshpyD, geompyD, obj=0, name=0):

        """
        Constructor

        Create a mesh on the shape *obj* (or an empty mesh if *obj* is equal to 0) and
        sets the GUI name of this mesh to *name*.

        Parameters:
                smeshpyD: an instance of smeshBuilder class
                geompyD: an instance of geomBuilder class
                obj: Shape to be meshed or :class:`SMESH.SMESH_Mesh` object
                name: Study name of the mesh
        """

        self.smeshpyD = smeshpyD
        self.geompyD = geompyD
        if obj is None:
            obj = 0
        objHasName = False
        if obj != 0:
            if isinstance(obj, geomBuilder.GEOM._objref_GEOM_Object):
                self.geom = obj
                objHasName = True
                # publish geom of mesh (issue 0021122)
                if not self.geom.GetStudyEntry():
                    objHasName = False
                    geompyD.init_geom()
                    if name:
                        geo_name = name + " shape"
                    else:
                        geo_name = "%s_%s to mesh"%(self.geom.GetShapeType(), id(self.geom)%100)
                    geompyD.addToStudy( self.geom, geo_name )
                self.SetMesh( self.smeshpyD.CreateMesh(self.geom) )

            elif isinstance(obj, SMESH._objref_SMESH_Mesh):
                self.SetMesh(obj)
        else:
            self.SetMesh( self.smeshpyD.CreateEmptyMesh() )
        if name:
            self.smeshpyD.SetName(self.mesh, name)
        elif objHasName:
            self.smeshpyD.SetName(self.mesh, GetName(obj)) # + " mesh"

        if not self.geom:
            self.geom = self.mesh.GetShapeToMesh()

        self.editor   = self.mesh.GetMeshEditor()
        self.functors = [None] * SMESH.FT_Undefined._v

        # set self to algoCreator's
        for attrName in dir(self):
            attr = getattr( self, attrName )
            if isinstance( attr, algoCreator ):
                setattr( self, attrName, attr.copy( self ))
                pass
            pass
        pass

    def __del__(self):
        """
        Destructor. Clean-up resources
        """
        if self.mesh:
            #self.mesh.UnRegister()
            pass
        pass

    def SetMesh(self, theMesh):
        """
        Initialize the Mesh object from an instance of :class:`SMESH.SMESH_Mesh` interface

        Parameters:
                theMesh: a :class:`SMESH.SMESH_Mesh` object
        """
        # do not call Register() as this prevents mesh servant deletion at closing study
        #if self.mesh: self.mesh.UnRegister()
        self.mesh = theMesh
        if self.mesh:
            #self.mesh.Register()
            self.geom = self.mesh.GetShapeToMesh()
            if self.geom:
                self.geompyD = self.geom.GetGen()
                pass
        pass

    def GetMesh(self):
        """
        Return the mesh, that is an encapsulated instance of :class:`SMESH.SMESH_Mesh` interface

        Returns:
                a :class:`SMESH.SMESH_Mesh` object
        """

        return self.mesh

    def GetEngine(self):
        """
        Return a smeshBuilder instance created this mesh
        """
        return self.smeshpyD

    def GetGeomEngine(self):
        """
        Return a geomBuilder instance
        """
        return self.geompyD

    def GetName(self):
        """
        Get the name of the mesh

        Returns:
                the name of the mesh as a string
        """

        name = GetName(self.GetMesh())
        return name

    def SetName(self, name):
        """
        Set a name to the mesh

        Parameters:
                name: a new name of the mesh
        """

        self.smeshpyD.SetName(self.GetMesh(), name)

    def GetSubMesh(self, geom, name):
        """
        Get a sub-mesh object associated to a *geom* geometrical object.

        Parameters:
                geom: a geometrical object (shape)
                name: a name for the sub-mesh in the Object Browser

        Returns:
                an object of type :class:`SMESH.SMESH_subMesh`, representing a part of mesh,
                which lies on the given shape

        Note:
                A sub-mesh is implicitly created when a sub-shape is specified at
                creating an algorithm, for example::

                   algo1D = mesh.Segment(geom=Edge_1)

                create a sub-mesh on *Edge_1* and assign Wire Discretization algorithm to it.
                The created sub-mesh can be retrieved from the algorithm::

                   submesh = algo1D.GetSubMesh()
        """

        AssureGeomPublished( self, geom, name )
        submesh = self.mesh.GetSubMesh( geom, name )
        return submesh

    def GetShape(self):
        """
        Return the shape associated to the mesh

        Returns:
                a GEOM_Object
        """

        return self.geom

    def SetShape(self, geom):
        """
        Associate the given shape to the mesh (entails the recreation of the mesh)

        Parameters:
                geom: the shape to be meshed (GEOM_Object)
        """

        self.mesh = self.smeshpyD.CreateMesh(geom)

    def HasShapeToMesh(self):
        """
        Return ``True`` if this mesh is based on geometry
        """
        return self.mesh.HasShapeToMesh()

    def Load(self):
        """
        Load mesh from the study after opening the study
        """
        self.mesh.Load()

    def IsReadyToCompute(self, theSubObject):
        """
        Return true if the hypotheses are defined well

        Parameters:
                theSubObject: a sub-shape of a mesh shape

        Returns:
                True or False
        """

        return self.smeshpyD.IsReadyToCompute(self.mesh, theSubObject)

    def GetAlgoState(self, theSubObject):
        """
        Return errors of hypotheses definition.
        The list of errors is empty if everything is OK.

        Parameters:
                theSubObject: a sub-shape of a mesh shape

        Returns:
                a list of errors
        """

        return self.smeshpyD.GetAlgoState(self.mesh, theSubObject)

    def GetGeometryByMeshElement(self, theElementID, theGeomName):
        """
        Return a geometrical object on which the given element was built.
        The returned geometrical object, if not nil, is either found in the
        study or published by this method with the given name

        Parameters:
            theElementID: the id of the mesh element
            theGeomName: the user-defined name of the geometrical object

        Returns:
            GEOM.GEOM_Object instance
        """

        return self.smeshpyD.GetGeometryByMeshElement( self.mesh, theElementID, theGeomName )

    def MeshDimension(self):
        """
        Return the mesh dimension depending on the dimension of the underlying shape
        or, if the mesh is not based on any shape, basing on deimension of elements

        Returns:
                mesh dimension as an integer value [0,3]
        """

        if self.mesh.HasShapeToMesh():
            shells = self.geompyD.SubShapeAllIDs( self.geom, self.geompyD.ShapeType["SOLID"] )
            if len( shells ) > 0 :
                return 3
            elif self.geompyD.NumberOfFaces( self.geom ) > 0 :
                return 2
            elif self.geompyD.NumberOfEdges( self.geom ) > 0 :
                return 1
            else:
                return 0;
        else:
            if self.NbVolumes() > 0: return 3
            if self.NbFaces()   > 0: return 2
            if self.NbEdges()   > 0: return 1
        return 0

    def Evaluate(self, geom=0):
        """
        Evaluate size of prospective mesh on a shape

        Returns:
                a list where i-th element is a number of elements of i-th :class:`SMESH.EntityType`.
                To know predicted number of e.g. edges, inquire it this way::

                   Evaluate()[ smesh.EnumToLong( SMESH.Entity_Edge )]
        """

        if geom == 0 or not isinstance(geom, geomBuilder.GEOM._objref_GEOM_Object):
            if self.geom == 0:
                geom = self.mesh.GetShapeToMesh()
            else:
                geom = self.geom
        return self.smeshpyD.Evaluate(self.mesh, geom)


    def Compute(self, geom=0, discardModifs=False, refresh=False):
        """
        Compute the mesh and return the status of the computation

        Parameters:
                geom: geomtrical shape on which mesh data should be computed
                discardModifs: if True and the mesh has been edited since
                        a last total re-compute and that may prevent successful partial re-compute,
                        then the mesh is cleaned before Compute()
                refresh: if *True*, Object Browser is automatically updated (when running in GUI)

        Returns:
                True or False
        """

        if geom == 0 or not isinstance(geom, geomBuilder.GEOM._objref_GEOM_Object):
            geom = self.mesh.GetShapeToMesh()
        ok = False
        try:
            if discardModifs and self.mesh.HasModificationsToDiscard(): # issue 0020693
                self.mesh.Clear()
            ok = self.smeshpyD.Compute(self.mesh, geom)
        except SALOME.SALOME_Exception as ex:
            print("Mesh computation failed, exception caught:")
            print("    ", ex.details.text)
        except:
            import traceback
            print("Mesh computation failed, exception caught:")
            traceback.print_exc()
        if True:#not ok:
            allReasons = ""

            # Treat compute errors
            computeErrors = self.smeshpyD.GetComputeErrors( self.mesh, geom )
            shapeText = ""
            for err in computeErrors:
                if self.mesh.HasShapeToMesh():
                    shapeText = " on %s" % self.GetSubShapeName( err.subShapeID )
                errText = ""
                stdErrors = ["OK",                   #COMPERR_OK
                             "Invalid input mesh",   #COMPERR_BAD_INPUT_MESH
                             "std::exception",       #COMPERR_STD_EXCEPTION
                             "OCC exception",        #COMPERR_OCC_EXCEPTION
                             "..",                   #COMPERR_SLM_EXCEPTION
                             "Unknown exception",    #COMPERR_EXCEPTION
                             "Memory allocation problem", #COMPERR_MEMORY_PB
                             "Algorithm failed",     #COMPERR_ALGO_FAILED
                             "Unexpected geometry",  #COMPERR_BAD_SHAPE
                             "Warning",              #COMPERR_WARNING
                             "Computation cancelled",#COMPERR_CANCELED
                             "No mesh on sub-shape"] #COMPERR_NO_MESH_ON_SHAPE
                if err.code > 0:
                    if err.code < len(stdErrors): errText = stdErrors[err.code]
                else:
                    errText = "code %s" % -err.code
                if errText: errText += ". "
                errText += err.comment
                if allReasons: allReasons += "\n"
                if ok:
                    allReasons += '-  "%s"%s - %s' %(err.algoName, shapeText, errText)
                else:
                    allReasons += '-  "%s" failed%s. Error: %s' %(err.algoName, shapeText, errText)
                pass

            # Treat hyp errors
            errors = self.smeshpyD.GetAlgoState( self.mesh, geom )
            for err in errors:
                if err.isGlobalAlgo:
                    glob = "global"
                else:
                    glob = "local"
                    pass
                dim = err.algoDim
                name = err.algoName
                if len(name) == 0:
                    reason = '%s %sD algorithm is missing' % (glob, dim)
                elif err.state == HYP_MISSING:
                    reason = ('%s %sD algorithm "%s" misses %sD hypothesis'
                              % (glob, dim, name, dim))
                elif err.state == HYP_NOTCONFORM:
                    reason = 'Global "Not Conform mesh allowed" hypothesis is missing'
                elif err.state == HYP_BAD_PARAMETER:
                    reason = ('Hypothesis of %s %sD algorithm "%s" has a bad parameter value'
                              % ( glob, dim, name ))
                elif err.state == HYP_BAD_GEOMETRY:
                    reason = ('%s %sD algorithm "%s" is assigned to mismatching'
                              'geometry' % ( glob, dim, name ))
                elif err.state == HYP_HIDDEN_ALGO:
                    reason = ('%s %sD algorithm "%s" is ignored due to presence of a %s '
                              'algorithm of upper dimension generating %sD mesh'
                              % ( glob, dim, name, glob, dim ))
                else:
                    reason = ("For unknown reason. "
                              "Developer, revise Mesh.Compute() implementation in smeshBuilder.py!")
                    pass
                if allReasons: allReasons += "\n"
                allReasons += "-  " + reason
                pass
            if not ok or allReasons != "":
                msg = '"' + GetName(self.mesh) + '"'
                if ok: msg += " has been computed with warnings"
                else:  msg += " has not been computed"
                if allReasons != "": msg += ":"
                else:                msg += "."
                print(msg)
                print(allReasons)
            pass
        if salome.sg.hasDesktop():
            if not isinstance( refresh, list): # not a call from subMesh.Compute()
                if refresh: salome.sg.updateObjBrowser()

        return ok

    def GetComputeErrors(self, shape=0 ):
        """
        Return a list of error messages (:class:`SMESH.ComputeError`) of the last :meth:`Compute`
        """

        if shape == 0:
            shape = self.mesh.GetShapeToMesh()
        return self.smeshpyD.GetComputeErrors( self.mesh, shape )

    def GetSubShapeName(self, subShapeID ):
        """
        Return a name of a sub-shape by its ID.
        Possible variants (for *subShapeID* == 3):

                - **"Face_12"** - published sub-shape
                - **FACE #3** - not published sub-shape
                - **sub-shape #3** - invalid sub-shape ID
                - **#3** - error in this function

        Parameters:
                subShapeID: a unique ID of a sub-shape

        Returns:
                a string describing the sub-shape

        """

        if not self.mesh.HasShapeToMesh():
            return ""
        try:
            shapeText = ""
            mainIOR  = salome.orb.object_to_string( self.GetShape() )
            s = salome.myStudy
            mainSO = s.FindObjectIOR(mainIOR)
            if mainSO:
                if subShapeID == 1:
                    shapeText = '"%s"' % mainSO.GetName()
                subIt = s.NewChildIterator(mainSO)
                while subIt.More():
                    subSO = subIt.Value()
                    subIt.Next()
                    obj = subSO.GetObject()
                    if not obj: continue
                    go = obj._narrow( geomBuilder.GEOM._objref_GEOM_Object )
                    if not go: continue
                    try:
                        ids = self.geompyD.GetSubShapeID( self.GetShape(), go )
                    except:
                        continue
                    if ids == subShapeID:
                        shapeText = '"%s"' % subSO.GetName()
                        break
            if not shapeText:
                shape = self.geompyD.GetSubShape( self.GetShape(), [subShapeID])
                if shape:
                    shapeText = '%s #%s' % (shape.GetShapeType(), subShapeID)
                else:
                    shapeText = 'sub-shape #%s' % (subShapeID)
        except:
            shapeText = "#%s" % (subShapeID)
        return shapeText

    def GetFailedShapes(self, publish=False):
        """
        Return a list of sub-shapes meshing of which failed, grouped into GEOM groups by
        error of an algorithm

        Parameters:
                publish: if *True*, the returned groups will be published in the study

        Returns:
                a list of GEOM groups each named after a failed algorithm
        """


        algo2shapes = {}
        computeErrors = self.smeshpyD.GetComputeErrors( self.mesh, self.GetShape() )
        for err in computeErrors:
            shape = self.geompyD.GetSubShape( self.GetShape(), [err.subShapeID])
            if not shape: continue
            if err.algoName in algo2shapes:
                algo2shapes[ err.algoName ].append( shape )
            else:
                algo2shapes[ err.algoName ] = [ shape ]
            pass

        groups = []
        for algoName, shapes in list(algo2shapes.items()):
            while shapes:
                groupType = self.smeshpyD.EnumToLong( shapes[0].GetShapeType() )
                otherTypeShapes = []
                sameTypeShapes  = []
                group = self.geompyD.CreateGroup( self.geom, groupType )
                for shape in shapes:
                    if shape.GetShapeType() == shapes[0].GetShapeType():
                        sameTypeShapes.append( shape )
                    else:
                        otherTypeShapes.append( shape )
                self.geompyD.UnionList( group, sameTypeShapes )
                if otherTypeShapes:
                    group.SetName( "%s %s" % ( algoName, shapes[0].GetShapeType() ))
                else:
                    group.SetName( algoName )
                groups.append( group )
                shapes = otherTypeShapes
            pass
        if publish:
            for group in groups:
                self.geompyD.addToStudyInFather( self.geom, group, group.GetName() )
        return groups

    def GetMeshOrder(self):
        """
        Return sub-mesh objects list in meshing order

        Returns:
                list of lists of :class:`sub-meshes <SMESH.SMESH_subMesh>`
        """

        return self.mesh.GetMeshOrder()

    def SetMeshOrder(self, submeshes):
        """
        Set priority of sub-meshes. It works in two ways:
        
        * For sub-meshes with assigned algorithms of same dimension generating mesh of
          *several dimensions*, it sets the order in which the sub-meshes are computed.
        * For the rest sub-meshes, it sets the order in which the sub-meshes are checked
          when looking for meshing parameters to apply to a sub-shape. To impose the 
          order in which sub-meshes with uni-dimensional algorithms are computed, 
          call **submesh.Compute()** in a desired order.

        Parameters:
                submeshes: list of lists of :class:`sub-meshes <SMESH.SMESH_subMesh>`
        """

        return self.mesh.SetMeshOrder(submeshes)

    def Clear(self, refresh=False):
        """
        Remove all nodes and elements generated on geometry. Imported elements remain.

        Parameters:
                refresh: if *True*, Object browser is automatically updated (when running in GUI)
        """

        self.mesh.Clear()
        if ( salome.sg.hasDesktop() ):
            if refresh: salome.sg.updateObjBrowser()

    def ClearSubMesh(self, geomId, refresh=False):
        """
        Remove all nodes and elements of indicated shape

        Parameters:
                geomId: the ID of a sub-shape to remove elements on
                refresh: if *True*, Object browser is automatically updated (when running in GUI)
        """

        self.mesh.ClearSubMesh(geomId)
        if salome.sg.hasDesktop():
            if refresh: salome.sg.updateObjBrowser()

    def AutomaticTetrahedralization(self, fineness=0):
        """
        Compute a tetrahedral mesh using AutomaticLength + MEFISTO + Tetrahedron

        Parameters:
                fineness: [0.0,1.0] defines mesh fineness

        Returns:
                True or False
        """

        dim = self.MeshDimension()
        # assign hypotheses
        self.RemoveGlobalHypotheses()
        self.Segment().AutomaticLength(fineness)
        if dim > 1 :
            self.Triangle().LengthFromEdges()
            pass
        if dim > 2 :
            self.Tetrahedron()
            pass
        return self.Compute()

    def AutomaticHexahedralization(self, fineness=0):
        """
        Compute an hexahedral mesh using AutomaticLength + Quadrangle + Hexahedron

        Parameters:
                fineness: [0.0, 1.0] defines mesh fineness

        Returns:
                True or False
        """

        dim = self.MeshDimension()
        # assign the hypotheses
        self.RemoveGlobalHypotheses()
        self.Segment().AutomaticLength(fineness)
        if dim > 1 :
            self.Quadrangle()
            pass
        if dim > 2 :
            self.Hexahedron()
            pass
        return self.Compute()

    def AddHypothesis(self, hyp, geom=0):
        """
        Assign a hypothesis

        Parameters:
                hyp: a hypothesis to assign
                geom: a subhape of mesh geometry

        Returns:
                :class:`SMESH.Hypothesis_Status`
        """

        if isinstance( hyp, geomBuilder.GEOM._objref_GEOM_Object ):
            hyp, geom = geom, hyp
        if isinstance( hyp, Mesh_Algorithm ):
            hyp = hyp.GetAlgorithm()
            pass
        if not geom:
            geom = self.geom
            if not geom:
                geom = self.mesh.GetShapeToMesh()
            pass
        isApplicable = True
        if self.mesh.HasShapeToMesh():
            hyp_type     = hyp.GetName()
            lib_name     = hyp.GetLibName()
            # checkAll    = ( not geom.IsSame( self.mesh.GetShapeToMesh() ))
            # if checkAll and geom:
            #     checkAll = geom.GetType() == 37
            checkAll     = False
            isApplicable = self.smeshpyD.IsApplicable(hyp_type, lib_name, geom, checkAll)
        if isApplicable:
            AssureGeomPublished( self, geom, "shape for %s" % hyp.GetName())
            status = self.mesh.AddHypothesis(geom, hyp)
        else:
            status = HYP_BAD_GEOMETRY, ""
        hyp_name = GetName( hyp )
        geom_name = ""
        if geom:
            geom_name = geom.GetName()
        isAlgo = hyp._narrow( SMESH_Algo )
        TreatHypoStatus( status, hyp_name, geom_name, isAlgo, self )
        return status

    def IsUsedHypothesis(self, hyp, geom):
        """
        Return True if an algorithm or hypothesis is assigned to a given shape

        Parameters:
                hyp: an algorithm or hypothesis to check
                geom: a subhape of mesh geometry

        Returns:
                True of False
        """

        if not hyp: # or not geom
            return False
        if isinstance( hyp, Mesh_Algorithm ):
            hyp = hyp.GetAlgorithm()
            pass
        hyps = self.GetHypothesisList(geom)
        for h in hyps:
            if h.GetId() == hyp.GetId():
                return True
        return False

    def RemoveHypothesis(self, hyp, geom=0):
        """
        Unassign a hypothesis

        Parameters:
                hyp (SMESH.SMESH_Hypothesis): a hypothesis to unassign
                geom (GEOM.GEOM_Object): a sub-shape of mesh geometry

        Returns:
                :class:`SMESH.Hypothesis_Status`
        """

        if not hyp:
            return None
        if isinstance( hyp, Mesh_Algorithm ):
            hyp = hyp.GetAlgorithm()
            pass
        shape = geom
        if not shape:
            shape = self.geom
            pass
        if self.IsUsedHypothesis( hyp, shape ):
            return self.mesh.RemoveHypothesis( shape, hyp )
        hypName = GetName( hyp )
        geoName = GetName( shape )
        print("WARNING: RemoveHypothesis() failed as '%s' is not assigned to '%s' shape" % ( hypName, geoName ))
        return None

    def GetHypothesisList(self, geom):
        """
        Get the list of hypotheses added on a geometry

        Parameters:
                geom (GEOM.GEOM_Object): a sub-shape of mesh geometry

        Returns:
                the sequence of :class:`SMESH.SMESH_Hypothesis`
        """

        return self.mesh.GetHypothesisList( geom )

    def RemoveGlobalHypotheses(self):
        """
        Remove all global hypotheses
        """

        current_hyps = self.mesh.GetHypothesisList( self.geom )
        for hyp in current_hyps:
            self.mesh.RemoveHypothesis( self.geom, hyp )
            pass
        pass
    def ExportMED(self, *args, **kwargs):
        """
        Export the mesh in a file in MED format
        allowing to overwrite the file if it exists or add the exported data to its contents

        Parameters:
                fileName: is the file name
                auto_groups (boolean): parameter for creating/not creating
                        the groups Group_On_All_Nodes, Group_On_All_Faces, ... ;
                        the typical use is auto_groups=False.
                minor (int): define the minor version (y, where version is x.y.z) of MED file format.
                        The minor must be between 0 and the current minor version of MED file library.
                        If minor is equal to -1, the minor version is not changed (default).
                        The major version (x, where version is x.y.z) cannot be changed.
                overwrite (boolean): parameter for overwriting/not overwriting the file
                meshPart: a part of mesh (:class:`sub-mesh, group or filter <SMESH.SMESH_IDSource>`) to export instead of the mesh
                autoDimension: if *True* (default), a space dimension of a MED mesh can be either

                        - 1D if all mesh nodes lie on OX coordinate axis, or
                        - 2D if all mesh nodes lie on XOY coordinate plane, or
                        - 3D in the rest cases.

                        If *autoDimension* is *False*, the space dimension is always 3.
                fields: list of GEOM fields defined on the shape to mesh.
                geomAssocFields: each character of this string means a need to export a 
                        corresponding field; correspondence between fields and characters 
                        is following:

                        - 'v' stands for "_vertices_" field;
                        - 'e' stands for "_edges_" field;
                        - 'f' stands for "_faces_" field;
                        - 's' stands for "_solids_" field.

                zTolerance (float): tolerance in Z direction. If Z coordinate of a node is 
                             close to zero within a given tolerance, the coordinate is set to zero.
                             If *ZTolerance* is negative (default), the node coordinates are kept as is.
        """
        # process positional arguments
        #args = [i for i in args if i not in [SMESH.MED_V2_1, SMESH.MED_V2_2]] # backward compatibility
        fileName        = args[0]
        auto_groups     = args[1] if len(args) > 1 else False
        minor           = args[2] if len(args) > 2 else -1
        overwrite       = args[3] if len(args) > 3 else True
        meshPart        = args[4] if len(args) > 4 else None
        autoDimension   = args[5] if len(args) > 5 else True
        fields          = args[6] if len(args) > 6 else []
        geomAssocFields = args[7] if len(args) > 7 else ''
        z_tolerance     = args[8] if len(args) > 8 else -1.
        # process keywords arguments
        auto_groups     = kwargs.get("auto_groups", auto_groups)
        minor           = kwargs.get("minor", minor)
        overwrite       = kwargs.get("overwrite", overwrite)
        meshPart        = kwargs.get("meshPart", meshPart)
        autoDimension   = kwargs.get("autoDimension", autoDimension)
        fields          = kwargs.get("fields", fields)
        geomAssocFields = kwargs.get("geomAssocFields", geomAssocFields)
        z_tolerance     = kwargs.get("zTolerance", z_tolerance)

        # invoke engine's function
        if meshPart or fields or geomAssocFields or z_tolerance > 0:
            unRegister = genObjUnRegister()
            if isinstance( meshPart, list ):
                meshPart = self.GetIDSource( meshPart, SMESH.ALL )
                unRegister.set( meshPart )

            z_tolerance,Parameters,hasVars = ParseParameters(z_tolerance)
            self.mesh.SetParameters(Parameters)

            self.mesh.ExportPartToMED( meshPart, fileName, auto_groups, minor, overwrite, autoDimension,
                                       fields, geomAssocFields, z_tolerance)
        else:
            self.mesh.ExportMED(fileName, auto_groups, minor, overwrite, autoDimension)

    def ExportSAUV(self, f, auto_groups=0):
        """
        Export the mesh in a file in SAUV format


        Parameters:
                f: is the file name
                auto_groups: boolean parameter for creating/not creating
                        the groups Group_On_All_Nodes, Group_On_All_Faces, ... ;
                        the typical use is auto_groups=False.
        """

        self.mesh.ExportSAUV(f, auto_groups)

    def ExportDAT(self, f, meshPart=None):
        """
        Export the mesh in a file in DAT format

        Parameters:
                f: the file name
                meshPart: a part of mesh (:class:`sub-mesh, group or filter <SMESH.SMESH_IDSource>`) to export instead of the mesh
        """

        if meshPart:
            unRegister = genObjUnRegister()
            if isinstance( meshPart, list ):
                meshPart = self.GetIDSource( meshPart, SMESH.ALL )
                unRegister.set( meshPart )
            self.mesh.ExportPartToDAT( meshPart, f )
        else:
            self.mesh.ExportDAT(f)

    def ExportUNV(self, f, meshPart=None):
        """
        Export the mesh in a file in UNV format

        Parameters:
                f: the file name
                meshPart: a part of mesh (:class:`sub-mesh, group or filter <SMESH.SMESH_IDSource>`) to export instead of the mesh
        """

        if meshPart:
            unRegister = genObjUnRegister()
            if isinstance( meshPart, list ):
                meshPart = self.GetIDSource( meshPart, SMESH.ALL )
                unRegister.set( meshPart )
            self.mesh.ExportPartToUNV( meshPart, f )
        else:
            self.mesh.ExportUNV(f)

    def ExportSTL(self, f, ascii=1, meshPart=None):
        """
        Export the mesh in a file in STL format

        Parameters:
                f: the file name
                ascii: defines the file encoding
                meshPart: a part of mesh (:class:`sub-mesh, group or filter <SMESH.SMESH_IDSource>`) to export instead of the mesh
        """

        if meshPart:
            unRegister = genObjUnRegister()
            if isinstance( meshPart, list ):
                meshPart = self.GetIDSource( meshPart, SMESH.ALL )
                unRegister.set( meshPart )
            self.mesh.ExportPartToSTL( meshPart, f, ascii )
        else:
            self.mesh.ExportSTL(f, ascii)

    def ExportCGNS(self, f, overwrite=1, meshPart=None, groupElemsByType=False):
        """
        Export the mesh in a file in CGNS format

        Parameters:
                f: is the file name
                overwrite: boolean parameter for overwriting/not overwriting the file
                meshPart: a part of mesh (:class:`sub-mesh, group or filter <SMESH.SMESH_IDSource>`) to export instead of the mesh
                groupElemsByType: if True all elements of same entity type are exported at ones,
                        else elements are exported in order of their IDs which can cause creation
                        of multiple cgns sections
        """

        unRegister = genObjUnRegister()
        if isinstance( meshPart, list ):
            meshPart = self.GetIDSource( meshPart, SMESH.ALL )
            unRegister.set( meshPart )
        if isinstance( meshPart, Mesh ):
            meshPart = meshPart.mesh
        elif not meshPart:
            meshPart = self.mesh
        self.mesh.ExportCGNS(meshPart, f, overwrite, groupElemsByType)

    def ExportGMF(self, f, meshPart=None):
        """
        Export the mesh in a file in GMF format.
        GMF files must have .mesh extension for the ASCII format and .meshb for
        the bynary format. Other extensions are not allowed.

        Parameters:
                f: is the file name
                meshPart: a part of mesh (:class:`sub-mesh, group or filter <SMESH.SMESH_IDSource>`) to export instead of the mesh
        """

        unRegister = genObjUnRegister()
        if isinstance( meshPart, list ):
            meshPart = self.GetIDSource( meshPart, SMESH.ALL )
            unRegister.set( meshPart )
        if isinstance( meshPart, Mesh ):
            meshPart = meshPart.mesh
        elif not meshPart:
            meshPart = self.mesh
        self.mesh.ExportGMF(meshPart, f, True)

    def ExportToMED(self, *args, **kwargs):
        """
        Deprecated, used only for compatibility! Please, use :meth:`ExportMED` method instead.
        Export the mesh in a file in MED format
        allowing to overwrite the file if it exists or add the exported data to its contents

        Parameters:
                fileName: the file name
                opt (boolean): parameter for creating/not creating
                        the groups Group_On_All_Nodes, Group_On_All_Faces, ...
                overwrite: boolean parameter for overwriting/not overwriting the file
                autoDimension: if *True* (default), a space dimension of a MED mesh can be either

                        - 1D if all mesh nodes lie on OX coordinate axis, or
                        - 2D if all mesh nodes lie on XOY coordinate plane, or
                        - 3D in the rest cases.

                        If **autoDimension** is *False*, the space dimension is always 3.
        """
    
        print("WARNING: ExportToMED() is deprecated, use ExportMED() instead")
        # process positional arguments
        #args = [i for i in args if i not in [SMESH.MED_V2_1, SMESH.MED_V2_2]] # backward compatibility
        fileName      = args[0]
        auto_groups   = args[1] if len(args) > 1 else False
        overwrite     = args[2] if len(args) > 2 else True
        autoDimension = args[3] if len(args) > 3 else True
        # process keywords arguments
        auto_groups   = kwargs.get("opt", auto_groups)         # old keyword name
        auto_groups   = kwargs.get("auto_groups", auto_groups) # new keyword name
        overwrite     = kwargs.get("overwrite", overwrite)
        autoDimension = kwargs.get("autoDimension", autoDimension)
        minor = -1
        # invoke engine's function
        self.mesh.ExportMED(fileName, auto_groups, minor, overwrite, autoDimension)

    def ExportToMEDX(self, *args, **kwargs):
        """
        Deprecated, used only for compatibility! Please, use ExportMED() method instead.
        Export the mesh in a file in MED format

        Parameters:
                fileName: the file name
                opt (boolean): parameter for creating/not creating
                        the groups Group_On_All_Nodes, Group_On_All_Faces, ...
                overwrite: boolean parameter for overwriting/not overwriting the file
                autoDimension: if *True* (default), a space dimension of a MED mesh can be either

                        - 1D if all mesh nodes lie on OX coordinate axis, or
                        - 2D if all mesh nodes lie on XOY coordinate plane, or
                        - 3D in the rest cases.

                        If **autoDimension** is *False*, the space dimension is always 3.
                """

        print("WARNING: ExportToMEDX() is deprecated, use ExportMED() instead")
        # process positional arguments
        #args = [i for i in args if i not in [SMESH.MED_V2_1, SMESH.MED_V2_2]] # backward compatibility
        fileName      = args[0]
        auto_groups   = args[1] if len(args) > 1 else False
        overwrite     = args[2] if len(args) > 2 else True
        autoDimension = args[3] if len(args) > 3 else True
        # process keywords arguments
        auto_groups   = kwargs.get("auto_groups", auto_groups)
        overwrite     = kwargs.get("overwrite", overwrite)
        autoDimension = kwargs.get("autoDimension", autoDimension)
        minor = -1
        # invoke engine's function
        self.mesh.ExportMED(fileName, auto_groups, minor, overwrite, autoDimension)
        return


    def Append(self, meshes, uniteIdenticalGroups = True,
                     mergeNodesAndElements = False, mergeTolerance = 1e-5, allGroups = False):
        """
        Append given meshes into this mesh.
        All groups of input meshes will be created in this mesh.

        Parameters:
                meshes: :class:`meshes, sub-meshes, groups or filters <SMESH.SMESH_IDSource>` to append
                uniteIdenticalGroups: if True, groups with same names are united, else they are renamed
                mergeNodesAndElements: if True, equal nodes and elements are merged
                mergeTolerance: tolerance for merging nodes
                allGroups: forces creation of groups corresponding to every input mesh
        """
        self.smeshpyD.Concatenate( meshes, uniteIdenticalGroups,
                                   mergeNodesAndElements, mergeTolerance, allGroups,
                                   meshToAppendTo = self.GetMesh() )

    # Operations with groups:
    # ----------------------
    def CreateEmptyGroup(self, elementType, name):
        """
        Create an empty standalone mesh group

        Parameters:
                elementType: the :class:`type <SMESH.ElementType>` of elements in the group; 
                        either of (SMESH.NODE, SMESH.EDGE, SMESH.FACE, SMESH.VOLUME)
                name: the name of the mesh group

        Returns:
                :class:`SMESH.SMESH_Group`
        """

        return self.mesh.CreateGroup(elementType, name)

    def Group(self, grp, name=""):
        """
        Create a mesh group based on the geometric object *grp*
        and give it a *name*.
        If *name* is not defined the name of the geometric group is used

        Note:
                Works like :meth:`GroupOnGeom`.

        Parameters:
                grp:  a geometric group, a vertex, an edge, a face or a solid
                name: the name of the mesh group

        Returns:
                :class:`SMESH.SMESH_GroupOnGeom`
        """

        return self.GroupOnGeom(grp, name)

    def GroupOnGeom(self, grp, name="", typ=None):
        """
        Create a mesh group based on the geometrical object *grp*
        and give it a *name*.
        if *name* is not defined the name of the geometric group is used

        Parameters:
                grp:  a geometrical group, a vertex, an edge, a face or a solid
                name: the name of the mesh group
                typ:  the type of elements in the group; either of
                        (SMESH.NODE, SMESH.EDGE, SMESH.FACE, SMESH.VOLUME). If not set, it is
                        automatically detected by the type of the geometry

        Returns:
                :class:`SMESH.SMESH_GroupOnGeom`
        """

        AssureGeomPublished( self, grp, name )
        if name == "":
            name = grp.GetName()
        if not typ:
            typ = self._groupTypeFromShape( grp )
        return self.mesh.CreateGroupFromGEOM(typ, name, grp)

    def _groupTypeFromShape( self, shape ):
        """
        Pivate method to get a type of group on geometry
        """
        tgeo = str(shape.GetShapeType())
        if tgeo == "VERTEX":
            typ = NODE
        elif tgeo == "EDGE" or tgeo == "WIRE":
            typ = EDGE
        elif tgeo == "FACE" or tgeo == "SHELL":
            typ = FACE
        elif tgeo == "SOLID" or tgeo == "COMPSOLID":
            typ = VOLUME
        elif tgeo == "COMPOUND":
            sub = self.geompyD.SubShapeAll( shape, self.geompyD.ShapeType["SHAPE"])
            if not sub:
                raise ValueError("_groupTypeFromShape(): empty geometric group or compound '%s'" % GetName(shape))
            return self._groupTypeFromShape( sub[0] )
        else:
            raise ValueError("_groupTypeFromShape(): invalid geometry '%s'" % GetName(shape))
        return typ

    def GroupOnFilter(self, typ, name, filter):
        """
        Create a mesh group with given *name* based on the *filter*.
        It is a special type of group dynamically updating it's contents during
        mesh modification

        Parameters:
                typ: the type of elements in the group; either of
                        (SMESH.NODE, SMESH.EDGE, SMESH.FACE, SMESH.VOLUME).
                name: the name of the mesh group
                filter (SMESH.Filter): the filter defining group contents

        Returns:
                :class:`SMESH.SMESH_GroupOnFilter`
        """

        return self.mesh.CreateGroupFromFilter(typ, name, filter)

    def MakeGroupByIds(self, groupName, elementType, elemIDs):
        """
        Create a mesh group by the given ids of elements

        Parameters:
                groupName: the name of the mesh group
                elementType: the type of elements in the group; either of
                        (SMESH.NODE, SMESH.EDGE, SMESH.FACE, SMESH.VOLUME).
                elemIDs: either the list of ids, :class:`mesh, sub-mesh, group or filter <SMESH.SMESH_IDSource>`

        Returns:
                :class:`SMESH.SMESH_Group`
        """

        group = self.mesh.CreateGroup(elementType, groupName)
        if isinstance( elemIDs, Mesh ):
            elemIDs = elemIDs.GetMesh()
        if hasattr( elemIDs, "GetIDs" ):
            if hasattr( elemIDs, "SetMesh" ):
                elemIDs.SetMesh( self.GetMesh() )
            group.AddFrom( elemIDs )
        else:
            group.Add(elemIDs)
        return group

    def MakeGroup(self,
                  groupName,
                  elementType,
                  CritType=FT_Undefined,
                  Compare=FT_EqualTo,
                  Threshold="",
                  UnaryOp=FT_Undefined,
                  Tolerance=1e-07):
        """
        Create a mesh group by the given conditions

        Parameters:
                groupName: the name of the mesh group
                elementType (SMESH.ElementType): the type of elements (SMESH.NODE, SMESH.EDGE, SMESH.FACE, SMESH.VOLUME)
                CritType (SMESH.FunctorType): the type of criterion (SMESH.FT_Taper, SMESH.FT_Area, etc.).
                        Note that the items starting from FT_LessThan are not suitable for CritType.
                Compare (SMESH.FunctorType): belongs to {SMESH.FT_LessThan, SMESH.FT_MoreThan, SMESH.FT_EqualTo}
                Threshold: the threshold value (range of ids as string, shape, numeric, depending on *CritType*)
                UnaryOp (SMESH.FunctorType):  SMESH.FT_LogicalNOT or SMESH.FT_Undefined
                Tolerance (float): the tolerance used by SMESH.FT_BelongToGeom, SMESH.FT_BelongToSurface,
                        SMESH.FT_LyingOnGeom, SMESH.FT_CoplanarFaces criteria

        Returns:
                :class:`SMESH.SMESH_GroupOnFilter`
        """

        aCriterion = self.smeshpyD.GetCriterion(elementType, CritType, Compare, Threshold, UnaryOp, FT_Undefined,Tolerance)
        group = self.MakeGroupByCriterion(groupName, aCriterion)
        return group

    def MakeGroupByCriterion(self, groupName, Criterion):
        """
        Create a mesh group by the given criterion

        Parameters:
                groupName: the name of the mesh group
                Criterion: the instance of :class:`SMESH.Filter.Criterion` class

        Returns:
                :class:`SMESH.SMESH_GroupOnFilter`

        See Also:
                :meth:`smeshBuilder.GetCriterion`
        """

        return self.MakeGroupByCriteria( groupName, [Criterion] )

    def MakeGroupByCriteria(self, groupName, theCriteria, binOp=SMESH.FT_LogicalAND):
        """
        Create a mesh group by the given criteria (list of :class:`SMESH.Filter.Criterion`)

        Parameters:
                groupName: the name of the mesh group
                theCriteria: the list of :class:`SMESH.Filter.Criterion`
                binOp: binary operator (SMESH.FT_LogicalAND or SMESH.FT_LogicalOR ) used when binary operator of criteria is undefined

        Returns:
                :class:`SMESH.SMESH_GroupOnFilter`

        See Also:
                :meth:`smeshBuilder.GetCriterion`
        """

        aFilter = self.smeshpyD.GetFilterFromCriteria( theCriteria, binOp )
        group = self.MakeGroupByFilter(groupName, aFilter)
        return group

    def MakeGroupByFilter(self, groupName, theFilter):
        """
        Create a mesh group by the given filter

        Parameters:
                groupName (string): the name of the mesh group
                theFilter (SMESH.Filter): the filter

        Returns:
                :class:`SMESH.SMESH_GroupOnFilter`

        See Also:
                :meth:`smeshBuilder.GetFilter`
        """

        #group = self.CreateEmptyGroup(theFilter.GetElementType(), groupName)
        #theFilter.SetMesh( self.mesh )
        #group.AddFrom( theFilter )
        group = self.GroupOnFilter( theFilter.GetElementType(), groupName, theFilter )
        return group

    def RemoveGroup(self, group):
        """
        Remove a group

        Parameters:
                group (SMESH.SMESH_GroupBase): group to remove
        """

        self.mesh.RemoveGroup(group)

    def RemoveGroupWithContents(self, group):
        """
        Remove a group with its contents

        Parameters:
                group (SMESH.SMESH_GroupBase): group to remove

        Note:
                This operation can create gaps in numeration of nodes or elements.
                Call :meth:`RenumberElements` to remove the gaps.
        """

        self.mesh.RemoveGroupWithContents(group)

    def GetGroups(self, elemType = SMESH.ALL):
        """
        Get the list of groups existing in the mesh in the order of creation 
        (starting from the oldest one)

        Parameters:
                elemType (SMESH.ElementType): type of elements the groups contain;
                        by default groups of elements of all types are returned

        Returns:
                a list of :class:`SMESH.SMESH_GroupBase`
        """

        groups = self.mesh.GetGroups()
        if elemType == SMESH.ALL:
            return groups
        typedGroups = []
        for g in groups:
            if g.GetType() == elemType:
                typedGroups.append( g )
                pass
            pass
        return typedGroups

    def NbGroups(self):
        """
        Get the number of groups existing in the mesh

        Returns:
                the quantity of groups as an integer value
        """

        return self.mesh.NbGroups()

    def GetGroupNames(self):
        """
        Get the list of names of groups existing in the mesh

        Returns:
                list of strings
        """

        groups = self.GetGroups()
        names = []
        for group in groups:
            names.append(group.GetName())
        return names

    def GetGroupByName(self, name, elemType = None):
        """
        Find groups by name and type

        Parameters:
                name (string): name of the group of interest
                elemType (SMESH.ElementType): type of elements the groups contain;
                        by default one group of any type is returned;
                        if elemType == SMESH.ALL then all groups of any type are returned

        Returns:
                a list of :class:`SMESH.SMESH_GroupBase`
        """

        groups = []
        for group in self.GetGroups():
            if group.GetName() == name:
                if elemType is None:
                    return [group]
                if ( elemType == SMESH.ALL or
                     group.GetType() == elemType ):
                    groups.append( group )
        return groups

    def UnionGroups(self, group1, group2, name):
        """
        Produce a union of two groups.
        A new group is created. All mesh elements that are
        present in the initial groups are added to the new one

        Parameters:
           group1 (SMESH.SMESH_GroupBase): a group
           group2 (SMESH.SMESH_GroupBase): another group

        Returns:
                instance of :class:`SMESH.SMESH_Group`
        """

        return self.mesh.UnionGroups(group1, group2, name)

    def UnionListOfGroups(self, groups, name):
        """
        Produce a union list of groups.
        New group is created. All mesh elements that are present in
        initial groups are added to the new one

        Parameters:
           groups: list of :class:`SMESH.SMESH_GroupBase`

        Returns:
                instance of :class:`SMESH.SMESH_Group`
        """
        return self.mesh.UnionListOfGroups(groups, name)

    def IntersectGroups(self, group1, group2, name):
        """
        Prodice an intersection of two groups.
        A new group is created. All mesh elements that are common
        for the two initial groups are added to the new one.

        Parameters:
           group1 (SMESH.SMESH_GroupBase): a group
           group2 (SMESH.SMESH_GroupBase): another group

        Returns:
                instance of :class:`SMESH.SMESH_Group`
        """

        return self.mesh.IntersectGroups(group1, group2, name)

    def IntersectListOfGroups(self, groups, name):
        """
        Produce an intersection of groups.
        New group is created. All mesh elements that are present in all
        initial groups simultaneously are added to the new one

        Parameters:
           groups: a list of :class:`SMESH.SMESH_GroupBase`

        Returns:
                instance of :class:`SMESH.SMESH_Group`
        """
        return self.mesh.IntersectListOfGroups(groups, name)

    def CutGroups(self, main_group, tool_group, name):
        """
        Produce a cut of two groups.
        A new group is created. All mesh elements that are present in
        the main group but are not present in the tool group are added to the new one

        Parameters:
           main_group (SMESH.SMESH_GroupBase): a group to cut from
           tool_group (SMESH.SMESH_GroupBase): a group to cut by

        Returns:
                an instance of :class:`SMESH.SMESH_Group`
        """

        return self.mesh.CutGroups(main_group, tool_group, name)

    def CutListOfGroups(self, main_groups, tool_groups, name):
        """
        Produce a cut of groups.
        A new group is created. All mesh elements that are present in main groups
        but do not present in tool groups are added to the new one

        Parameters:
           main_group: groups to cut from  (list of :class:`SMESH.SMESH_GroupBase`)
           tool_group: groups to cut by    (list of :class:`SMESH.SMESH_GroupBase`)

        Returns:
                an instance of :class:`SMESH.SMESH_Group`
        """

        return self.mesh.CutListOfGroups(main_groups, tool_groups, name)

    def CreateDimGroup(self, groups, elemType, name,
                       nbCommonNodes = SMESH.ALL_NODES, underlyingOnly = True):
        """
        Create a standalone group of entities basing on nodes of other groups.

        Parameters:
                groups: list of :class:`sub-meshes, groups or filters <SMESH.SMESH_IDSource>`, of any type.
                elemType: a type of elements to include to the new group; either of
                        (SMESH.NODE, SMESH.EDGE, SMESH.FACE, SMESH.VOLUME).
                name: a name of the new group.
                nbCommonNodes: a criterion of inclusion of an element to the new group
                        basing on number of element nodes common with reference *groups*.
                        Meaning of possible values are:

                                - SMESH.ALL_NODES - include if all nodes are common,
                                - SMESH.MAIN - include if all corner nodes are common (meaningful for a quadratic mesh),
                                - SMESH.AT_LEAST_ONE - include if one or more node is common,
                                - SMEHS.MAJORITY - include if half of nodes or more are common.
                underlyingOnly: if *True* (default), an element is included to the
                        new group provided that it is based on nodes of an element of *groups*;
                        in this case the reference *groups* are supposed to be of higher dimension
                        than *elemType*, which can be useful for example to get all faces lying on
                        volumes of the reference *groups*.

        Returns:
                an instance of :class:`SMESH.SMESH_Group`
        """

        if isinstance( groups, SMESH._objref_SMESH_IDSource ):
            groups = [groups]
        return self.mesh.CreateDimGroup(groups, elemType, name, nbCommonNodes, underlyingOnly)

    def FaceGroupsSeparatedByEdges( self, sharpAngle, createEdges=False, useExistingEdges=False ):
        """
        Distribute all faces of the mesh among groups using sharp edges and optionally
        existing 1D elements as group boundaries.

        Parameters:
                sharpAngle: edge is considered sharp if an angle between normals of
                            adjacent faces is more than \a sharpAngle in degrees.
                createEdges (boolean): to create 1D elements for detected sharp edges.
                useExistingEdges (boolean): to use existing edges as group boundaries
        Returns:
                ListOfGroups - the created :class:`groups <SMESH.SMESH_Group>`
        """
        sharpAngle,Parameters,hasVars = ParseParameters( sharpAngle )
        self.mesh.SetParameters(Parameters)
        return self.mesh.FaceGroupsSeparatedByEdges( sharpAngle, createEdges, useExistingEdges );

    def ConvertToStandalone(self, group):
        """
        Convert group on geom into standalone group
        """

        return self.mesh.ConvertToStandalone(group)

    # Get some info about mesh:
    # ------------------------

    def GetLog(self, clearAfterGet):
        """
        Return the log of nodes and elements added or removed
        since the previous clear of the log.

        Parameters:
                clearAfterGet: log is emptied after Get (safe if concurrents access)

        Returns:
                list of SMESH.log_block structures { commandType, number, coords, indexes }
        """

        return self.mesh.GetLog(clearAfterGet)

    def ClearLog(self):
        """
        Clear the log of nodes and elements added or removed since the previous
        clear. Must be used immediately after :meth:`GetLog` if clearAfterGet is false.
        """

        self.mesh.ClearLog()

    def SetAutoColor(self, theAutoColor):
        """
        Toggle auto color mode on the object.
        If switched on, a default color of a new group in Create Group dialog is chosen randomly.

        Parameters:
                theAutoColor (boolean): the flag which toggles auto color mode.
        """

        self.mesh.SetAutoColor(theAutoColor)

    def GetAutoColor(self):
        """
        Get flag of object auto color mode.

        Returns:
                True or False
        """

        return self.mesh.GetAutoColor()

    def GetId(self):
        """
        Get the internal ID

        Returns:
            integer value, which is the internal Id of the mesh
        """

        return self.mesh.GetId()

    def HasDuplicatedGroupNamesMED(self):
        """
        Check the group names for duplications.
        Consider the maximum group name length stored in MED file.

        Returns:
            True or False
        """

        return self.mesh.HasDuplicatedGroupNamesMED()

    def GetMeshEditor(self):
        """
        Obtain the mesh editor tool

        Returns:
            an instance of :class:`SMESH.SMESH_MeshEditor`
        """

        return self.editor

    def GetIDSource(self, ids, elemType = SMESH.ALL):
        """
        Wrap a list of IDs of elements or nodes into :class:`SMESH.SMESH_IDSource` which
        can be passed as argument to a method accepting :class:`mesh, sub-mesh, group or filter <SMESH.SMESH_IDSource>`

        Parameters:
                ids: list of IDs
                elemType: type of elements; this parameter is used to distinguish
                        IDs of nodes from IDs of elements; by default ids are treated as
                        IDs of elements; use SMESH.NODE if ids are IDs of nodes.

        Returns:
            an instance of :class:`SMESH.SMESH_IDSource`

        Warning:
                call UnRegister() for the returned object as soon as it is no more useful::

                        idSrc = mesh.GetIDSource( [1,3,5], SMESH.NODE )
                        mesh.DoSomething( idSrc )
                        idSrc.UnRegister()
        """

        if isinstance( ids, int ):
            ids = [ids]
        return self.editor.MakeIDSource(ids, elemType)


    # Get information about mesh contents:
    # ------------------------------------

    def GetMeshInfo(self, obj = None):
        """
        Get the mesh statistic.

        Returns:
                dictionary { :class:`SMESH.EntityType` - "count of elements" }
        """

        if not obj: obj = self.mesh
        return self.smeshpyD.GetMeshInfo(obj)

    def NbNodes(self):
        """
        Return the number of nodes in the mesh

        Returns:
            an integer value
        """

        return self.mesh.NbNodes()

    def NbElements(self):
        """
        Return the number of elements in the mesh

        Returns:
            an integer value
        """

        return self.mesh.NbElements()

    def Nb0DElements(self):
        """
        Return the number of 0d elements in the mesh

        Returns:
            an integer value
        """

        return self.mesh.Nb0DElements()

    def NbBalls(self):
        """
        Return the number of ball discrete elements in the mesh

        Returns:
            an integer value
        """

        return self.mesh.NbBalls()

    def NbEdges(self):
        """
        Return the number of edges in the mesh

        Returns:
            an integer value
        """

        return self.mesh.NbEdges()

    def NbEdgesOfOrder(self, elementOrder):
        """
        Return the number of edges with the given order in the mesh

        Parameters:
                elementOrder: the order of elements
                     (SMESH.ORDER_ANY, SMESH.ORDER_LINEAR or SMESH.ORDER_QUADRATIC)

        Returns:
            an integer value
        """

        return self.mesh.NbEdgesOfOrder(elementOrder)

    def NbFaces(self):
        """
        Return the number of faces in the mesh

        Returns:
            an integer value
        """

        return self.mesh.NbFaces()

    def NbFacesOfOrder(self, elementOrder):
        """
        Return the number of faces with the given order in the mesh

        Parameters:
                elementOrder: the order of elements
                        (SMESH.ORDER_ANY, SMESH.ORDER_LINEAR or SMESH.ORDER_QUADRATIC)

        Returns:
            an integer value
        """

        return self.mesh.NbFacesOfOrder(elementOrder)

    def NbTriangles(self):
        """
        Return the number of triangles in the mesh

        Returns:
            an integer value
        """

        return self.mesh.NbTriangles()

    def NbTrianglesOfOrder(self, elementOrder):
        """
        Return the number of triangles with the given order in the mesh

        Parameters:
                elementOrder: is the order of elements
                        (SMESH.ORDER_ANY, SMESH.ORDER_LINEAR or SMESH.ORDER_QUADRATIC)

        Returns:
            an integer value
        """

        return self.mesh.NbTrianglesOfOrder(elementOrder)

    def NbBiQuadTriangles(self):
        """
        Return the number of biquadratic triangles in the mesh

        Returns:
            an integer value
        """

        return self.mesh.NbBiQuadTriangles()

    def NbQuadrangles(self):
        """
        Return the number of quadrangles in the mesh

        Returns:
            an integer value
        """

        return self.mesh.NbQuadrangles()

    def NbQuadranglesOfOrder(self, elementOrder):
        """
        Return the number of quadrangles with the given order in the mesh

        Parameters:
                elementOrder: the order of elements
                        (SMESH.ORDER_ANY, SMESH.ORDER_LINEAR or SMESH.ORDER_QUADRATIC)

        Returns:
            an integer value
        """

        return self.mesh.NbQuadranglesOfOrder(elementOrder)

    def NbBiQuadQuadrangles(self):
        """
        Return the number of biquadratic quadrangles in the mesh

        Returns:
            an integer value
        """

        return self.mesh.NbBiQuadQuadrangles()

    def NbPolygons(self, elementOrder = SMESH.ORDER_ANY):
        """
        Return the number of polygons of given order in the mesh

        Parameters:
                elementOrder: the order of elements
                        (SMESH.ORDER_ANY, SMESH.ORDER_LINEAR or SMESH.ORDER_QUADRATIC)

        Returns:
            an integer value
        """

        return self.mesh.NbPolygonsOfOrder(elementOrder)

    def NbVolumes(self):
        """
        Return the number of volumes in the mesh

        Returns:
            an integer value
        """

        return self.mesh.NbVolumes()


    def NbVolumesOfOrder(self, elementOrder):
        """
        Return the number of volumes with the given order in the mesh

        Parameters:
                elementOrder:  the order of elements
                    (SMESH.ORDER_ANY, SMESH.ORDER_LINEAR or SMESH.ORDER_QUADRATIC)

        Returns:
            an integer value
        """

        return self.mesh.NbVolumesOfOrder(elementOrder)

    def NbTetras(self):
        """
        Return the number of tetrahedrons in the mesh

        Returns:
            an integer value
        """

        return self.mesh.NbTetras()

    def NbTetrasOfOrder(self, elementOrder):
        """
        Return the number of tetrahedrons with the given order in the mesh

        Parameters:
                elementOrder:  the order of elements
                        (SMESH.ORDER_ANY, SMESH.ORDER_LINEAR or SMESH.ORDER_QUADRATIC)

        Returns:
            an integer value
        """

        return self.mesh.NbTetrasOfOrder(elementOrder)

    def NbHexas(self):
        """
        Return the number of hexahedrons in the mesh

        Returns:
            an integer value
        """

        return self.mesh.NbHexas()

    def NbHexasOfOrder(self, elementOrder):
        """
        Return the number of hexahedrons with the given order in the mesh

        Parameters:
                elementOrder:  the order of elements
                        (SMESH.ORDER_ANY, SMESH.ORDER_LINEAR or SMESH.ORDER_QUADRATIC)

        Returns:
            an integer value
        """

        return self.mesh.NbHexasOfOrder(elementOrder)

    def NbTriQuadraticHexas(self):
        """
        Return the number of triquadratic hexahedrons in the mesh

        Returns:
            an integer value
        """

        return self.mesh.NbTriQuadraticHexas()

    def NbPyramids(self):
        """
        Return the number of pyramids in the mesh

        Returns:
            an integer value
        """

        return self.mesh.NbPyramids()

    def NbPyramidsOfOrder(self, elementOrder):
        """
        Return the number of pyramids with the given order in the mesh

        Parameters:
                elementOrder:  the order of elements
                        (SMESH.ORDER_ANY, SMESH.ORDER_LINEAR or SMESH.ORDER_QUADRATIC)

        Returns:
            an integer value
        """

        return self.mesh.NbPyramidsOfOrder(elementOrder)

    def NbPrisms(self):
        """
        Return the number of prisms in the mesh

        Returns:
            an integer value
        """

        return self.mesh.NbPrisms()

    def NbPrismsOfOrder(self, elementOrder):
        """
        Return the number of prisms with the given order in the mesh

        Parameters:
                elementOrder:  the order of elements
                        (SMESH.ORDER_ANY, SMESH.ORDER_LINEAR or SMESH.ORDER_QUADRATIC)

        Returns:
            an integer value
        """

        return self.mesh.NbPrismsOfOrder(elementOrder)

    def NbHexagonalPrisms(self):
        """
        Return the number of hexagonal prisms in the mesh

        Returns:
            an integer value
        """

        return self.mesh.NbHexagonalPrisms()

    def NbPolyhedrons(self):
        """
        Return the number of polyhedrons in the mesh

        Returns:
            an integer value
        """

        return self.mesh.NbPolyhedrons()

    def NbSubMesh(self):
        """
        Return the number of submeshes in the mesh

        Returns:
            an integer value
        """

        return self.mesh.NbSubMesh()

    def GetElementsId(self):
        """
        Return the list of all mesh elements IDs

        Returns:
            the list of integer values

        See Also:
            :meth:`GetElementsByType`
        """

        return self.mesh.GetElementsId()

    def GetElementsByType(self, elementType):
        """
        Return the list of IDs of mesh elements with the given type

        Parameters:
                elementType (SMESH.ElementType):  the required type of elements

        Returns:
            list of integer values
        """

        return self.mesh.GetElementsByType(elementType)

    def GetNodesId(self):
        """
        Return the list of mesh nodes IDs

        Returns:
            the list of integer values
        """

        return self.mesh.GetNodesId()

    # Get the information about mesh elements:
    # ------------------------------------

    def GetElementType(self, id, iselem=True):
        """
        Return the type of mesh element or node

        Returns:
            the value from :class:`SMESH.ElementType` enumeration. 
            Return SMESH.ALL if element or node with the given ID does not exist
        """

        return self.mesh.GetElementType(id, iselem)

    def GetElementGeomType(self, id):
        """
        Return the geometric type of mesh element

        Returns:
            the value from :class:`SMESH.EntityType` enumeration.
        """

        return self.mesh.GetElementGeomType(id)

    def GetElementShape(self, id):
        """
        Return the shape type of mesh element

        Returns:
            the value from :class:`SMESH.GeometryType` enumeration.
        """

        return self.mesh.GetElementShape(id)

    def GetSubMeshElementsId(self, Shape):
        """
        Return the list of sub-mesh elements IDs

        Parameters:
                Shape (GEOM.GEOM_Object): a geom object (sub-shape).
                       *Shape* must be the sub-shape of the :meth:`main shape <GetShape>`

        Returns:
            list of integer values
        """

        if isinstance( Shape, geomBuilder.GEOM._objref_GEOM_Object):
            ShapeID = self.geompyD.GetSubShapeID( self.geom, Shape )
        else:
            ShapeID = Shape
        return self.mesh.GetSubMeshElementsId(ShapeID)

    def GetSubMeshNodesId(self, Shape, all):
        """
        Return the list of sub-mesh nodes IDs

        Parameters:
                Shape: a geom object (sub-shape).
                       *Shape* must be the sub-shape of a :meth:`GetShape`
                all: If True, gives all nodes of sub-mesh elements, otherwise gives only sub-mesh nodes

        Returns:
            list of integer values
        """

        if isinstance( Shape, geomBuilder.GEOM._objref_GEOM_Object):
            ShapeID = self.geompyD.GetSubShapeID( self.geom, Shape )
        else:
            ShapeID = Shape
        return self.mesh.GetSubMeshNodesId(ShapeID, all)

    def GetSubMeshElementType(self, Shape):
        """
        Return type of elements on given shape

        Parameters:
                Shape: a geom object (sub-shape).
                       *Shape* must be a sub-shape of a ShapeToMesh()

        Returns:
            :class:`SMESH.ElementType`
        """

        if isinstance( Shape, geomBuilder.GEOM._objref_GEOM_Object):
            ShapeID = self.geompyD.GetSubShapeID( self.geom, Shape )
        else:
            ShapeID = Shape
        return self.mesh.GetSubMeshElementType(ShapeID)

    def Dump(self):
        """
        Get the mesh description

        Returns:
            string value
        """

        return self.mesh.Dump()


    # Get the information about nodes and elements of a mesh by its IDs:
    # -----------------------------------------------------------

    def GetNodeXYZ(self, id):
        """
        Get XYZ coordinates of a node.
        If there is no node for the given ID - return an empty list

        Returns:
            list of float values
        """

        return self.mesh.GetNodeXYZ(id)

    def GetNodeInverseElements(self, id, elemType=SMESH.ALL):
        """
        Return list of IDs of inverse elements for the given node.
        If there is no node for the given ID - return an empty list

        Parameters:
                id: node ID
                elementType: :class:`type of elements <SMESH.ElementType>` (SMESH.EDGE, SMESH.FACE, SMESH.VOLUME, etc.)

        Returns:
            list of integer values
        """

        return self.mesh.GetNodeInverseElements(id,elemType)

    def GetNodePosition(self,NodeID):
        """
        Return the position of a node on the shape

        Returns:
            :class:`SMESH.NodePosition`
        """

        return self.mesh.GetNodePosition(NodeID)

    def GetElementPosition(self,ElemID):
        """
        Return the position of an element on the shape

        Returns:
            :class:`SMESH.ElementPosition`
        """

        return self.mesh.GetElementPosition(ElemID)

    def GetShapeID(self, id):
        """
        Return the ID of the shape, on which the given node was generated.

        Returns:
            an integer value > 0 or -1 if there is no node for the given
            ID or the node is not assigned to any geometry
        """

        return self.mesh.GetShapeID(id)

    def GetShapeIDForElem(self,id):
        """
        Return the ID of the shape, on which the given element was generated.

        Returns:
            an integer value > 0 or -1 if there is no element for the given
            ID or the element is not assigned to any geometry
        """

        return self.mesh.GetShapeIDForElem(id)

    def GetElemNbNodes(self, id):
        """
        Return the number of nodes of the given element

        Returns:
            an integer value > 0 or -1 if there is no element for the given ID
        """

        return self.mesh.GetElemNbNodes(id)

    def GetElemNode(self, id, index):
        """
        Return the node ID the given (zero based) index for the given element.

        * If there is no element for the given ID - return -1.
        * If there is no node for the given index - return -2.

        Parameters:
            id (int): element ID
            index (int): node index within the element

        Returns:
            an integer value (ID)

        See Also:
            :meth:`GetElemNodes`
        """

        return self.mesh.GetElemNode(id, index)

    def GetElemNodes(self, id):
        """
        Return the IDs of nodes of the given element

        Returns:
            a list of integer values
        """

        return self.mesh.GetElemNodes(id)

    def IsMediumNode(self, elementID, nodeID):
        """
        Return true if the given node is the medium node in the given quadratic element
        """

        return self.mesh.IsMediumNode(elementID, nodeID)

    def IsMediumNodeOfAnyElem(self, nodeID, elementType = SMESH.ALL ):
        """
        Return true if the given node is the medium node in one of quadratic elements

        Parameters:
                nodeID: ID of the node
                elementType:  the type of elements to check a state of the node, either of
                        (SMESH.ALL, SMESH.NODE, SMESH.EDGE, SMESH.FACE or SMESH.VOLUME)
        """

        return self.mesh.IsMediumNodeOfAnyElem(nodeID, elementType)

    def ElemNbEdges(self, id):
        """
        Return the number of edges for the given element
        """

        return self.mesh.ElemNbEdges(id)

    def ElemNbFaces(self, id):
        """
        Return the number of faces for the given element
        """

        return self.mesh.ElemNbFaces(id)

    def GetElemFaceNodes(self,elemId, faceIndex):
        """
        Return nodes of given face (counted from zero) for given volumic element.
        """

        return self.mesh.GetElemFaceNodes(elemId, faceIndex)

    def GetFaceNormal(self, faceId, normalized=False):
        """
        Return three components of normal of given mesh face
        (or an empty array in KO case)
        """

        return self.mesh.GetFaceNormal(faceId,normalized)

    def FindElementByNodes(self, nodes):
        """
        Return an element based on all given nodes.
        """

        return self.mesh.FindElementByNodes(nodes)

    def GetElementsByNodes(self, nodes, elemType=SMESH.ALL):
        """
        Return elements including all given nodes.
        """

        return self.mesh.GetElementsByNodes( nodes, elemType )

    def IsPoly(self, id):
        """
        Return true if the given element is a polygon
        """

        return self.mesh.IsPoly(id)

    def IsQuadratic(self, id):
        """
        Return true if the given element is quadratic
        """

        return self.mesh.IsQuadratic(id)

    def GetBallDiameter(self, id):
        """
        Return diameter of a ball discrete element or zero in case of an invalid *id*
        """

        return self.mesh.GetBallDiameter(id)

    def BaryCenter(self, id):
        """
        Return XYZ coordinates of the barycenter of the given element.
        If there is no element for the given ID - return an empty list

        Returns:
            a list of three double values

        See also: 
                :meth:`smeshBuilder.GetGravityCenter`
        """

        return self.mesh.BaryCenter(id)

    def GetIdsFromFilter(self, filter, meshParts=[] ):
        """
        Pass mesh elements through the given filter and return IDs of fitting elements

        Parameters:
                filter: :class:`SMESH.Filter`
                meshParts: list of mesh parts (:class:`sub-mesh, group or filter <SMESH.SMESH_IDSource>`) to filter

        Returns:
            a list of ids

        See Also:
            :meth:`SMESH.Filter.GetIDs`
            :meth:`SMESH.Filter.GetElementsIdFromParts`
        """

        filter.SetMesh( self.mesh )

        if meshParts:
            if isinstance( meshParts, Mesh ):
                filter.SetMesh( meshParts.GetMesh() )
                return theFilter.GetIDs()
            if isinstance( meshParts, SMESH._objref_SMESH_IDSource ):
                meshParts = [ meshParts ]
            return filter.GetElementsIdFromParts( meshParts )

        return filter.GetIDs()

    # Get mesh measurements information:
    # ------------------------------------

    def GetFreeBorders(self):
        """
        Verify whether a 2D mesh element has free edges (edges connected to one face only).
        Return a list of special structures (borders).

        Returns:
            a list of :class:`SMESH.FreeEdges.Border`
        """

        aFilterMgr = self.smeshpyD.CreateFilterManager()
        aPredicate = aFilterMgr.CreateFreeEdges()
        aPredicate.SetMesh(self.mesh)
        aBorders = aPredicate.GetBorders()
        aFilterMgr.UnRegister()
        return aBorders

    def MinDistance(self, id1, id2=0, isElem1=False, isElem2=False):
        """
        Get minimum distance between two nodes, elements or distance to the origin

        Parameters:
                id1: first node/element id
                id2: second node/element id (if 0, distance from *id1* to the origin is computed)
                isElem1: *True* if *id1* is element id, *False* if it is node id
                isElem2: *True* if *id2* is element id, *False* if it is node id

        Returns:
            minimum distance value
        See Also:
            :meth:`GetMinDistance`
        """

        aMeasure = self.GetMinDistance(id1, id2, isElem1, isElem2)
        return aMeasure.value

    def GetMinDistance(self, id1, id2=0, isElem1=False, isElem2=False):
        """
        Get :class:`SMESH.Measure` structure specifying minimum distance data between two objects

        Parameters:
                id1: first node/element id
                id2: second node/element id (if 0, distance from *id1* to the origin is computed)
                isElem1: *True* if *id1* is element id, *False* if it is node id
                isElem2: *True* if *id2* is element id, *False* if it is node id

        Returns:
            :class:`SMESH.Measure` structure
        See Also:
            :meth:`MinDistance`
        """

        if isElem1:
            id1 = self.editor.MakeIDSource([id1], SMESH.FACE)
        else:
            id1 = self.editor.MakeIDSource([id1], SMESH.NODE)
        if id2 != 0:
            if isElem2:
                id2 = self.editor.MakeIDSource([id2], SMESH.FACE)
            else:
                id2 = self.editor.MakeIDSource([id2], SMESH.NODE)
            pass
        else:
            id2 = None

        aMeasurements = self.smeshpyD.CreateMeasurements()
        aMeasure = aMeasurements.MinDistance(id1, id2)
        genObjUnRegister([aMeasurements,id1, id2])
        return aMeasure

    def BoundingBox(self, objects=None, isElem=False):
        """
        Get bounding box of the specified object(s)

        Parameters:
                objects: single :class:`source object <SMESH.SMESH_IDSource>` or list of source objects or list of nodes/elements IDs
                isElem: if *objects* is a list of IDs, *True* value in this parameters specifies that *objects* are elements,
                        *False* specifies that *objects* are nodes

        Returns:
            tuple of six values (minX, minY, minZ, maxX, maxY, maxZ)

        See Also: 
            :meth:`GetBoundingBox()`
        """

        result = self.GetBoundingBox(objects, isElem)
        if result is None:
            result = (0.0,)*6
        else:
            result = (result.minX, result.minY, result.minZ, result.maxX, result.maxY, result.maxZ)
        return result

    def GetBoundingBox(self, objects=None, isElem=False):
        """
        Get :class:`SMESH.Measure` structure specifying bounding box data of the specified object(s)

        Parameters:
                objects: single :class:`source object <SMESH.SMESH_IDSource>` or list of source objects or list of nodes/elements IDs
                isElem: if *objects* is a list of IDs, True means that *objects* are elements,
                        False means that *objects* are nodes

        Returns:
            :class:`SMESH.Measure` structure

        See Also: 
            :meth:`BoundingBox()`
        """

        if objects is None:
            objects = [self.mesh]
        elif isinstance(objects, tuple):
            objects = list(objects)
        if not isinstance(objects, list):
            objects = [objects]
        if len(objects) > 0 and isinstance(objects[0], int):
            objects = [objects]
        srclist = []
        unRegister = genObjUnRegister()
        for o in objects:
            if isinstance(o, Mesh):
                srclist.append(o.mesh)
            elif hasattr(o, "_narrow"):
                src = o._narrow(SMESH.SMESH_IDSource)
                if src: srclist.append(src)
                pass
            elif isinstance(o, list):
                if isElem:
                    srclist.append(self.editor.MakeIDSource(o, SMESH.FACE))
                else:
                    srclist.append(self.editor.MakeIDSource(o, SMESH.NODE))
                unRegister.set( srclist[-1] )
                pass
            pass
        aMeasurements = self.smeshpyD.CreateMeasurements()
        unRegister.set( aMeasurements )
        aMeasure = aMeasurements.BoundingBox(srclist)
        return aMeasure

    # Mesh edition (SMESH_MeshEditor functionality):
    # ---------------------------------------------

    def RemoveElements(self, IDsOfElements):
        """
        Remove the elements from the mesh by ids

        Parameters:
                IDsOfElements: is a list of ids of elements to remove

        Returns:
            True or False

        Note:
                This operation can create gaps in numeration of elements.
                Call :meth:`RenumberElements` to remove the gaps.
        """

        return self.editor.RemoveElements(IDsOfElements)

    def RemoveNodes(self, IDsOfNodes):
        """
        Remove nodes from mesh by ids

        Parameters:
                IDsOfNodes: is a list of ids of nodes to remove

        Returns:
            True or False

        Note:
                This operation can create gaps in numeration of nodes.
                Call :meth:`RenumberElements` to remove the gaps.
        """

        return self.editor.RemoveNodes(IDsOfNodes)

    def RemoveOrphanNodes(self):
        """
        Remove all orphan (free) nodes from mesh

        Returns:
            number of the removed nodes

        Note:
                This operation can create gaps in numeration of nodes.
                Call :meth:`RenumberElements` to remove the gaps.
        """

        return self.editor.RemoveOrphanNodes()

    def AddNode(self, x, y, z):
        """
        Add a node to the mesh by coordinates

        Returns:
            ID of the new node
        """

        x,y,z,Parameters,hasVars = ParseParameters(x,y,z)
        if hasVars: self.mesh.SetParameters(Parameters)
        return self.editor.AddNode( x, y, z)

    def Add0DElement( self, IDOfNode, DuplicateElements=True ):
        """
        Create a 0D element on a node with given number.

        Parameters:
                IDOfNode: the ID of node for creation of the element.
                DuplicateElements: to add one more 0D element to a node or not

        Returns:
            ID of the new 0D element
        """

        return self.editor.Add0DElement( IDOfNode, DuplicateElements )

    def Add0DElementsToAllNodes(self, theObject, theGroupName="", DuplicateElements=False):
        """
        Create 0D elements on all nodes of the given elements except those
        nodes on which a 0D element already exists.

        Parameters:
                theObject: an object on whose nodes 0D elements will be created.
                        It can be list of element IDs, :class:`mesh, sub-mesh, group or filter <SMESH.SMESH_IDSource>`
                theGroupName: optional name of a group to add 0D elements created
                        and/or found on nodes of *theObject*.
                DuplicateElements: to add one more 0D element to a node or not

        Returns:
            an object (a new group or a temporary :class:`SMESH.SMESH_IDSource`) holding
            IDs of new and/or found 0D elements. IDs of 0D elements
            can be retrieved from the returned object by 
            calling :meth:`GetIDs() <SMESH.SMESH_IDSource.GetIDs>`
        """

        unRegister = genObjUnRegister()
        if isinstance( theObject, Mesh ):
            theObject = theObject.GetMesh()
        elif isinstance( theObject, list ):
            theObject = self.GetIDSource( theObject, SMESH.ALL )
            unRegister.set( theObject )
        return self.editor.Create0DElementsOnAllNodes( theObject, theGroupName, DuplicateElements )

    def AddBall(self, IDOfNode, diameter):
        """
        Create a ball element on a node with given ID.

        Parameters:
                IDOfNode: the ID of node for creation of the element.
                diameter: the bal diameter.

        Returns:
            ID of the new ball element
        """

        return self.editor.AddBall( IDOfNode, diameter )

    def AddEdge(self, IDsOfNodes):
        """
        Create a linear or quadratic edge (this is determined
        by the number of given nodes).

        Parameters:
                IDsOfNodes: list of node IDs for creation of the element.
                        The order of nodes in this list should correspond to
                        the :ref:`connectivity convention <connectivity_page>`.

        Returns:
            ID of the new edge
        """

        return self.editor.AddEdge(IDsOfNodes)

    def AddFace(self, IDsOfNodes):
        """
        Create a linear or quadratic face (this is determined
        by the number of given nodes).

        Parameters:
                IDsOfNodes: list of node IDs for creation of the element.
                        The order of nodes in this list should correspond to
                        the :ref:`connectivity convention <connectivity_page>`.

        Returns:
            ID of the new face
        """

        return self.editor.AddFace(IDsOfNodes)

    def AddPolygonalFace(self, IdsOfNodes):
        """
        Add a polygonal face defined by a list of node IDs

        Parameters:
                IdsOfNodes: the list of node IDs for creation of the element.

        Returns:
            ID of the new face
        """

        return self.editor.AddPolygonalFace(IdsOfNodes)

    def AddQuadPolygonalFace(self, IdsOfNodes):
        """
        Add a quadratic polygonal face defined by a list of node IDs

        Parameters:
                IdsOfNodes: the list of node IDs for creation of the element;
                        corner nodes follow first.

        Returns:
            ID of the new face
        """

        return self.editor.AddQuadPolygonalFace(IdsOfNodes)

    def AddVolume(self, IDsOfNodes):
        """
        Create both simple and quadratic volume (this is determined
        by the number of given nodes).

        Parameters:
                IDsOfNodes: list of node IDs for creation of the element.
                        The order of nodes in this list should correspond to
                        the :ref:`connectivity convention <connectivity_page>`.

        Returns:
            ID of the new volumic element
        """

        return self.editor.AddVolume(IDsOfNodes)

    def AddPolyhedralVolume (self, IdsOfNodes, Quantities):
        """
        Create a volume of many faces, giving nodes for each face.

        Parameters:
                IdsOfNodes: list of node IDs for volume creation, face by face.
                Quantities: list of integer values, Quantities[i]
                        gives the quantity of nodes in face number i.

        Returns:
            ID of the new volumic element
        """

        return self.editor.AddPolyhedralVolume(IdsOfNodes, Quantities)

    def AddPolyhedralVolumeByFaces (self, IdsOfFaces):
        """
        Create a volume of many faces, giving the IDs of the existing faces.

        Note:
                The created volume will refer only to the nodes
                of the given faces, not to the faces themselves.

        Parameters:
                IdsOfFaces: the list of face IDs for volume creation.

        Returns:
            ID of the new volumic element
        """

        return self.editor.AddPolyhedralVolumeByFaces(IdsOfFaces)


    def SetNodeOnVertex(self, NodeID, Vertex):
        """
        Bind a node to a vertex

        Parameters:
                NodeID: a node ID
                Vertex: a vertex (GEOM.GEOM_Object) or vertex ID

        Returns:
            True if succeed else raises an exception
        """

        if ( isinstance( Vertex, geomBuilder.GEOM._objref_GEOM_Object)):
            VertexID = self.geompyD.GetSubShapeID( self.geom, Vertex )
        else:
            VertexID = Vertex
        try:
            self.editor.SetNodeOnVertex(NodeID, VertexID)
        except SALOME.SALOME_Exception as inst:
            raise ValueError(inst.details.text)
        return True


    def SetNodeOnEdge(self, NodeID, Edge, paramOnEdge):
        """
        Store the node position on an edge

        Parameters:
                NodeID: a node ID
                Edge: an edge (GEOM.GEOM_Object) or edge ID
                paramOnEdge: a parameter on the edge where the node is located

        Returns:
            True if succeed else raises an exception
        """

        if ( isinstance( Edge, geomBuilder.GEOM._objref_GEOM_Object)):
            EdgeID = self.geompyD.GetSubShapeID( self.geom, Edge )
        else:
            EdgeID = Edge
        try:
            self.editor.SetNodeOnEdge(NodeID, EdgeID, paramOnEdge)
        except SALOME.SALOME_Exception as inst:
            raise ValueError(inst.details.text)
        return True

    def SetNodeOnFace(self, NodeID, Face, u, v):
        """
        Store node position on a face

        Parameters:
                NodeID: a node ID
                Face: a face (GEOM.GEOM_Object) or face ID
                u: U parameter on the face where the node is located
                v: V parameter on the face where the node is located

        Returns:
            True if succeed else raises an exception
        """

        if ( isinstance( Face, geomBuilder.GEOM._objref_GEOM_Object)):
            FaceID = self.geompyD.GetSubShapeID( self.geom, Face )
        else:
            FaceID = Face
        try:
            self.editor.SetNodeOnFace(NodeID, FaceID, u, v)
        except SALOME.SALOME_Exception as inst:
            raise ValueError(inst.details.text)
        return True

    def SetNodeInVolume(self, NodeID, Solid):
        """
        Bind a node to a solid

        Parameters:
                NodeID: a node ID
                Solid:  a solid (GEOM.GEOM_Object) or solid ID

        Returns:
            True if succeed else raises an exception
        """

        if ( isinstance( Solid, geomBuilder.GEOM._objref_GEOM_Object)):
            SolidID = self.geompyD.GetSubShapeID( self.geom, Solid )
        else:
            SolidID = Solid
        try:
            self.editor.SetNodeInVolume(NodeID, SolidID)
        except SALOME.SALOME_Exception as inst:
            raise ValueError(inst.details.text)
        return True

    def SetMeshElementOnShape(self, ElementID, Shape):
        """
        Bind an element to a shape

        Parameters:
                ElementID: an element ID
                Shape: a shape (GEOM.GEOM_Object) or shape ID

        Returns:
            True if succeed else raises an exception
        """

        if ( isinstance( Shape, geomBuilder.GEOM._objref_GEOM_Object)):
            ShapeID = self.geompyD.GetSubShapeID( self.geom, Shape )
        else:
            ShapeID = Shape
        try:
            self.editor.SetMeshElementOnShape(ElementID, ShapeID)
        except SALOME.SALOME_Exception as inst:
            raise ValueError(inst.details.text)
        return True


    def MoveNode(self, NodeID, x, y, z):
        """
        Move the node with the given id

        Parameters:
                NodeID: the id of the node
                x:  a new X coordinate
                y:  a new Y coordinate
                z:  a new Z coordinate

        Returns:
            True if succeed else False
        """

        x,y,z,Parameters,hasVars = ParseParameters(x,y,z)
        if hasVars: self.mesh.SetParameters(Parameters)
        return self.editor.MoveNode(NodeID, x, y, z)

    def MoveClosestNodeToPoint(self, x, y, z, NodeID):
        """
        Find the node closest to a point and moves it to a point location

        Parameters:
                x:  the X coordinate of a point
                y:  the Y coordinate of a point
                z:  the Z coordinate of a point
                NodeID: if specified (>0), the node with this ID is moved,
                        otherwise, the node closest to point (*x*, *y*, *z*) is moved

        Returns:
            the ID of a moved node
        """

        x,y,z,Parameters,hasVars = ParseParameters(x,y,z)
        if hasVars: self.mesh.SetParameters(Parameters)
        return self.editor.MoveClosestNodeToPoint(x, y, z, NodeID)

    def FindNodeClosestTo(self, x, y, z):
        """
        Find the node closest to a point

        Parameters:
                x:  the X coordinate of a point
                y:  the Y coordinate of a point
                z:  the Z coordinate of a point

        Returns:
            the ID of a node
        """

        return self.editor.FindNodeClosestTo(x, y, z)

    def FindElementsByPoint(self, x, y, z, elementType = SMESH.ALL, meshPart=None):
        """
        Find the elements where a point lays IN or ON

        Parameters:
                x,y,z (float): coordinates of the point
                elementType (SMESH.ElementType): type of elements to find; SMESH.ALL type
                        means elements of any type excluding nodes, discrete and 0D elements.
                meshPart: a part of mesh (:class:`sub-mesh, group or filter <SMESH.SMESH_IDSource>`) to search within

        Returns:
            list of IDs of found elements
        """
        if meshPart:
            return self.editor.FindAmongElementsByPoint( meshPart, x, y, z, elementType );
        else:
            return self.editor.FindElementsByPoint(x, y, z, elementType)

    def ProjectPoint(self, x,y,z, elementType, meshObject=None):
        """
        Project a point to a mesh object.
        Return ID of an element of given type where the given point is projected
        and coordinates of the projection point.
        In the case if nothing found, return -1 and []
        """
        if isinstance( meshObject, Mesh ):
            meshObject = meshObject.GetMesh()
        if not meshObject:
            meshObject = self.GetMesh()
        return self.editor.ProjectPoint( x,y,z, elementType, meshObject )

    def GetPointState(self, x, y, z):
        """
        Return point state in a closed 2D mesh in terms of TopAbs_State enumeration:
        smesh.TopAbs_IN, smesh.TopAbs_OUT, smesh.TopAbs_ON and smesh.TopAbs_UNKNOWN.
        UNKNOWN state means that either mesh is wrong or the analysis fails.
        """

        return self.editor.GetPointState(x, y, z)

    def IsManifold(self):
        """
        Check if a 2D mesh is manifold
        """

        return self.editor.IsManifold()

    def IsCoherentOrientation2D(self):
        """
        Check if orientation of 2D elements is coherent
        """

        return self.editor.IsCoherentOrientation2D()

    def Get1DBranches( self, edges, startNode = 0 ):
        """
        Partition given 1D elements into groups of contiguous edges.
        A node where number of meeting edges != 2 is a group end.
        An optional startNode is used to orient groups it belongs to.

        Returns:
             A list of edge groups and a list of corresponding node groups,
             where the group is a list of IDs of edges or elements, like follows
             [[[branch_edges_1],[branch_edges_2]], [[branch_nodes_1],[branch_nodes_2]]].
             If a group is closed, the first and last nodes of the group are same.
        """
        if isinstance( edges, Mesh ):
            edges = edges.GetMesh()
        unRegister = genObjUnRegister()
        if isinstance( edges, list ):
            edges = self.GetIDSource( edges, SMESH.EDGE )
            unRegister.set( edges )
        return self.editor.Get1DBranches( edges, startNode )
    
    def FindSharpEdges( self, angle, addExisting=False ):
        """
        Return sharp edges of faces and non-manifold ones.
        Optionally add existing edges.

        Parameters:
                angle: angle (in degrees) between normals of adjacent faces to detect sharp edges
                addExisting: to return existing edges (1D elements) as well

        Returns:
            list of FaceEdge structures
        """
        angle = ParseParameters( angle )[0]
        return self.editor.FindSharpEdges( angle, addExisting )

    def MeshToPassThroughAPoint(self, x, y, z):
        """
        Find the node closest to a point and moves it to a point location

        Parameters:
                x:  the X coordinate of a point
                y:  the Y coordinate of a point
                z:  the Z coordinate of a point

        Returns:
            the ID of a moved node
        """

        return self.editor.MoveClosestNodeToPoint(x, y, z, -1)

    def InverseDiag(self, NodeID1, NodeID2):
        """
        Replace two neighbour triangles sharing Node1-Node2 link
        with the triangles built on the same 4 nodes but having other common link.

        Parameters:
                NodeID1:  the ID of the first node
                NodeID2:  the ID of the second node

        Returns:
            False if proper faces were not found
        """
        return self.editor.InverseDiag(NodeID1, NodeID2)

    def DeleteDiag(self, NodeID1, NodeID2):
        """
        Replace two neighbour triangles sharing *Node1-Node2* link
        with a quadrangle built on the same 4 nodes.

        Parameters:
                NodeID1: ID of the first node
                NodeID2: ID of the second node

        Returns:
            False if proper faces were not found

        Note:
                This operation can create gaps in numeration of elements.
                Call :meth:`RenumberElements` to remove the gaps.
        """

        return self.editor.DeleteDiag(NodeID1, NodeID2)

    def Reorient(self, IDsOfElements=None):
        """
        Reorient elements by ids

        Parameters:
                IDsOfElements: if undefined reorients all mesh elements

        Returns:
            True if succeed else False
        """

        if IDsOfElements == None:
            IDsOfElements = self.GetElementsId()
        return self.editor.Reorient(IDsOfElements)

    def ReorientObject(self, theObject):
        """
        Reorient all elements of the object

        Parameters:
                theObject: :class:`mesh, sub-mesh, group or filter <SMESH.SMESH_IDSource>`

        Returns:
            True if succeed else False
        """

        if ( isinstance( theObject, Mesh )):
            theObject = theObject.GetMesh()
        return self.editor.ReorientObject(theObject)

    def Reorient2D(self, the2DObject, theDirection, theFaceOrPoint ):
        """
        Reorient faces contained in *the2DObject*.

        Parameters:
                the2DObject: a :class:`mesh, sub-mesh, group or filter <SMESH.SMESH_IDSource>` or list of IDs of 2D elements
                theDirection: a desired direction of normal of *theFace*.
                        It can be either a GEOM vector or a list of coordinates [x,y,z].
                theFaceOrPoint: defines a face of *the2DObject* whose normal will be
                        compared with theDirection. It can be either ID of face or a point
                        by which the face will be found. The point can be given as either
                        a GEOM vertex or a list of point coordinates.

        Returns:
            number of reoriented faces
        """

        unRegister = genObjUnRegister()
        # check the2DObject
        if isinstance( the2DObject, Mesh ):
            the2DObject = the2DObject.GetMesh()
        if isinstance( the2DObject, list ):
            the2DObject = self.GetIDSource( the2DObject, SMESH.FACE )
            unRegister.set( the2DObject )
        # check theDirection
        if isinstance( theDirection, geomBuilder.GEOM._objref_GEOM_Object):
            theDirection = self.smeshpyD.GetDirStruct( theDirection )
        if isinstance( theDirection, list ):
            theDirection = self.smeshpyD.MakeDirStruct( *theDirection  )
        # prepare theFace and thePoint
        theFace = theFaceOrPoint
        thePoint = PointStruct(0,0,0)
        if isinstance( theFaceOrPoint, geomBuilder.GEOM._objref_GEOM_Object):
            thePoint = self.smeshpyD.GetPointStruct( theFaceOrPoint )
            theFace = -1
        if isinstance( theFaceOrPoint, list ):
            thePoint = PointStruct( *theFaceOrPoint )
            theFace = -1
        if isinstance( theFaceOrPoint, PointStruct ):
            thePoint = theFaceOrPoint
            theFace = -1
        return self.editor.Reorient2D( the2DObject, theDirection, theFace, thePoint )

    def Reorient2DBy3D(self, the2DObject, the3DObject, theOutsideNormal=True ):
        """
        Reorient faces according to adjacent volumes.

        Parameters:
                the2DObject: is a :class:`mesh, sub-mesh, group, filter <SMESH.SMESH_IDSource>` or list of
                        either IDs of faces or face groups.
                the3DObject: is a :class:`mesh, sub-mesh, group, filter <SMESH.SMESH_IDSource>` or list of IDs of volumes.
                theOutsideNormal: to orient faces to have their normals
                        pointing either *outside* or *inside* the adjacent volumes.

        Returns:
            number of reoriented faces.
        """

        unRegister = genObjUnRegister()
        # check the2DObject
        if not isinstance( the2DObject, list ):
            the2DObject = [ the2DObject ]
        elif the2DObject and isinstance( the2DObject[0], int ):
            the2DObject = self.GetIDSource( the2DObject, SMESH.FACE )
            unRegister.set( the2DObject )
            the2DObject = [ the2DObject ]
        for i,obj2D in enumerate( the2DObject ):
            if isinstance( obj2D, Mesh ):
                the2DObject[i] = obj2D.GetMesh()
            if isinstance( obj2D, list ):
                the2DObject[i] = self.GetIDSource( obj2D, SMESH.FACE )
                unRegister.set( the2DObject[i] )
        # check the3DObject
        if isinstance( the3DObject, Mesh ):
            the3DObject = the3DObject.GetMesh()
        if isinstance( the3DObject, list ):
            the3DObject = self.GetIDSource( the3DObject, SMESH.VOLUME )
            unRegister.set( the3DObject )
        return self.editor.Reorient2DBy3D( the2DObject, the3DObject, theOutsideNormal )

    def TriToQuad(self, IDsOfElements, theCriterion, MaxAngle):
        """
        Fuse the neighbouring triangles into quadrangles.

        Parameters:
                IDsOfElements: The triangles to be fused.
                theCriterion:  a numerical functor, in terms of enum :class:`SMESH.FunctorType`, used to
                        applied to possible quadrangles to choose a neighbour to fuse with.
                        Note that not all items of :class:`SMESH.FunctorType` corresponds
                        to numerical functors.
                MaxAngle: is the maximum angle between element normals at which the fusion
                        is still performed; theMaxAngle is measured in radians.
                        Also it could be a name of variable which defines angle in degrees.

        Returns:
            True in case of success, False otherwise.

        Note:
                This operation can create gaps in numeration of elements.
                Call :meth:`RenumberElements` to remove the gaps.
        """

        MaxAngle,Parameters,hasVars = ParseAngles(MaxAngle)
        self.mesh.SetParameters(Parameters)
        if not IDsOfElements:
            IDsOfElements = self.GetElementsId()
        Functor = self.smeshpyD.GetFunctor(theCriterion)
        return self.editor.TriToQuad(IDsOfElements, Functor, MaxAngle)

    def TriToQuadObject (self, theObject, theCriterion, MaxAngle):
        """
        Fuse the neighbouring triangles of the object into quadrangles

        Parameters:
                theObject: is :class:`mesh, sub-mesh, group or filter <SMESH.SMESH_IDSource>`
                theCriterion: is a numerical functor, in terms of enum :class:`SMESH.FunctorType`,
                        applied to possible quadrangles to choose a neighbour to fuse with.
                        Note that not all items of :class:`SMESH.FunctorType` corresponds
                        to numerical functors.
                MaxAngle: a max angle between element normals at which the fusion
                        is still performed; theMaxAngle is measured in radians.

        Returns:
            True in case of success, False otherwise.

        Note:
                This operation can create gaps in numeration of elements.
                Call :meth:`RenumberElements` to remove the gaps.
        """

        MaxAngle,Parameters,hasVars = ParseAngles(MaxAngle)
        self.mesh.SetParameters(Parameters)
        if isinstance( theObject, Mesh ):
            theObject = theObject.GetMesh()
        Functor = self.smeshpyD.GetFunctor(theCriterion)
        return self.editor.TriToQuadObject(theObject, Functor, MaxAngle)

    def QuadToTri (self, IDsOfElements, theCriterion = None):
        """
        Split quadrangles into triangles.

        Parameters:
                IDsOfElements: the faces to be splitted.
                theCriterion: is a numerical functor, in terms of enum :class:`SMESH.FunctorType`, used to
                        choose a diagonal for splitting. If *theCriterion* is None, which is a default
                        value, then quadrangles will be split by the smallest diagonal.
                        Note that not all items of :class:`SMESH.FunctorType` corresponds
                        to numerical functors.

        Returns:
            True in case of success, False otherwise.

        Note:
                This operation can create gaps in numeration of elements.
                Call :meth:`RenumberElements` to remove the gaps.
        """
        if IDsOfElements == []:
            IDsOfElements = self.GetElementsId()
        if theCriterion is None:
            theCriterion = FT_MaxElementLength2D
        Functor = self.smeshpyD.GetFunctor(theCriterion)
        return self.editor.QuadToTri(IDsOfElements, Functor)

    def QuadToTriObject (self, theObject, theCriterion = None):
        """
        Split quadrangles into triangles.

        Parameters:
                theObject: the object from which the list of elements is taken,
                        this is :class:`mesh, sub-mesh, group or filter <SMESH.SMESH_IDSource>`
                theCriterion: is a numerical functor, in terms of enum :class:`SMESH.FunctorType`, used to
                        choose a diagonal for splitting. If *theCriterion* is None, which is a default
                        value, then quadrangles will be split by the smallest diagonal.
                        Note that not all items of :class:`SMESH.FunctorType` corresponds
                        to numerical functors.

        Returns:
            True in case of success, False otherwise.

        Note:
                This operation can create gaps in numeration of elements.
                Call :meth:`RenumberElements` to remove the gaps.
        """
        if ( isinstance( theObject, Mesh )):
            theObject = theObject.GetMesh()
        if theCriterion is None:
            theCriterion = FT_MaxElementLength2D
        Functor = self.smeshpyD.GetFunctor(theCriterion)
        return self.editor.QuadToTriObject(theObject, Functor)

    def QuadTo4Tri (self, theElements=[]):
        """
        Split each of given quadrangles into 4 triangles. A node is added at the center of
        a quadrangle.

        Parameters:
                theElements: the faces to be splitted. This can be either 
                        :class:`mesh, sub-mesh, group, filter <SMESH.SMESH_IDSource>`
                        or a list of face IDs. By default all quadrangles are split

        Note:
                This operation can create gaps in numeration of elements.
                Call :meth:`RenumberElements` to remove the gaps.
        """
        unRegister = genObjUnRegister()
        if isinstance( theElements, Mesh ):
            theElements = theElements.mesh
        elif not theElements:
            theElements = self.mesh
        elif isinstance( theElements, list ):
            theElements = self.GetIDSource( theElements, SMESH.FACE )
            unRegister.set( theElements )
        return self.editor.QuadTo4Tri( theElements )

    def SplitQuad (self, IDsOfElements, Diag13):
        """
        Split quadrangles into triangles.

        Parameters:
                IDsOfElements: the faces to be splitted
                Diag13 (boolean):        is used to choose a diagonal for splitting.

        Returns:
            True in case of success, False otherwise.

        Note:
                This operation can create gaps in numeration of elements.
                Call :meth:`RenumberElements` to remove the gaps.
        """
        if IDsOfElements == []:
            IDsOfElements = self.GetElementsId()
        return self.editor.SplitQuad(IDsOfElements, Diag13)

    def SplitQuadObject (self, theObject, Diag13):
        """
        Split quadrangles into triangles.

        Parameters:
                theObject: the object from which the list of elements is taken,
                        this is :class:`mesh, sub-mesh, group or filter <SMESH.SMESH_IDSource>`
                Diag13 (boolean):    is used to choose a diagonal for splitting.

        Returns:
            True in case of success, False otherwise.

        Note:
                This operation can create gaps in numeration of elements.
                Call :meth:`RenumberElements` to remove the gaps.
        """
        if ( isinstance( theObject, Mesh )):
            theObject = theObject.GetMesh()
        return self.editor.SplitQuadObject(theObject, Diag13)

    def BestSplit (self, IDOfQuad, theCriterion):
        """
        Find a better splitting of the given quadrangle.

        Parameters:
                IDOfQuad:   the ID of the quadrangle to be splitted.
                theCriterion:  is a numerical functor, in terms of enum :class:`SMESH.FunctorType`, used to
                        choose a diagonal for splitting.
                        Note that not all items of :class:`SMESH.FunctorType` corresponds
                        to numerical functors.

        Returns:
            * 1 if 1-3 diagonal is better, 
            * 2 if 2-4 diagonal is better, 
            * 0 if error occurs.

        Note:
                This operation can create gaps in numeration of elements.
                Call :meth:`RenumberElements` to remove the gaps.
        """
        return self.editor.BestSplit(IDOfQuad, self.smeshpyD.GetFunctor(theCriterion))

    def SplitVolumesIntoTetra(self, elems, method=smeshBuilder.Hex_5Tet ):
        """
        Split volumic elements into tetrahedrons

        Parameters:
                elems: either a list of elements or a :class:`mesh, sub-mesh, group or filter <SMESH.SMESH_IDSource>`
                method:  flags passing splitting method:
                        smesh.Hex_5Tet, smesh.Hex_6Tet, smesh.Hex_24Tet.
                        smesh.Hex_5Tet - to split the hexahedron into 5 tetrahedrons, etc.

        Note:
                This operation can create gaps in numeration of elements.
                Call :meth:`RenumberElements` to remove the gaps.
        """
        unRegister = genObjUnRegister()
        if isinstance( elems, Mesh ):
            elems = elems.GetMesh()
        if ( isinstance( elems, list )):
            elems = self.editor.MakeIDSource(elems, SMESH.VOLUME)
            unRegister.set( elems )
        self.editor.SplitVolumesIntoTetra(elems, method)
        return

    def SplitBiQuadraticIntoLinear(self, elems=None):
        """
        Split bi-quadratic elements into linear ones without creation of additional nodes:

            - bi-quadratic triangle will be split into 3 linear quadrangles;
            - bi-quadratic quadrangle will be split into 4 linear quadrangles;
            - tri-quadratic hexahedron will be split into 8 linear hexahedra.

        Quadratic elements of lower dimension  adjacent to the split bi-quadratic element
        will be split in order to keep the mesh conformal.

        Parameters:
            elems: elements to split\: :class:`mesh, sub-mesh, group, filter <SMESH.SMESH_IDSource>` or element IDs;
                if None (default), all bi-quadratic elements will be split

        Note:
                This operation can create gaps in numeration of elements.
                Call :meth:`RenumberElements` to remove the gaps.
        """
        unRegister = genObjUnRegister()
        if elems and isinstance( elems, list ) and isinstance( elems[0], int ):
            elems = self.editor.MakeIDSource(elems, SMESH.ALL)
            unRegister.set( elems )
        if elems is None:
            elems = [ self.GetMesh() ]
        if isinstance( elems, Mesh ):
            elems = [ elems.GetMesh() ]
        if not isinstance( elems, list ):
            elems = [elems]
        self.editor.SplitBiQuadraticIntoLinear( elems )

    def SplitHexahedraIntoPrisms(self, elems, startHexPoint, facetNormal,
                                 method=smeshBuilder.Hex_2Prisms, allDomains=False ):
        """
        Split hexahedra into prisms

        Parameters:
                elems: either a list of elements or a :class:`mesh, sub-mesh, group or filter <SMESH.SMESH_IDSource>`
                startHexPoint: a point used to find a hexahedron for which *facetNormal*
                        gives a normal vector defining facets to split into triangles.
                        *startHexPoint* can be either a triple of coordinates or a vertex.
                facetNormal: a normal to a facet to split into triangles of a
                        hexahedron found by *startHexPoint*.
                        *facetNormal* can be either a triple of coordinates or an edge.
                method:  flags passing splitting method: smesh.Hex_2Prisms, smesh.Hex_4Prisms.
                        smesh.Hex_2Prisms - to split the hexahedron into 2 prisms, etc.
                allDomains: if :code:`False`, only hexahedra adjacent to one closest
                        to *startHexPoint* are split, else *startHexPoint*
                        is used to find the facet to split in all domains present in *elems*.

        Note:
                This operation can create gaps in numeration of elements.
                Call :meth:`RenumberElements` to remove the gaps.
        """
        # IDSource
        unRegister = genObjUnRegister()
        if isinstance( elems, Mesh ):
            elems = elems.GetMesh()
        if ( isinstance( elems, list )):
            elems = self.editor.MakeIDSource(elems, SMESH.VOLUME)
            unRegister.set( elems )
            pass
        # axis
        if isinstance( startHexPoint, geomBuilder.GEOM._objref_GEOM_Object):
            startHexPoint = self.smeshpyD.GetPointStruct( startHexPoint )
        elif isinstance( startHexPoint, list ):
            startHexPoint = SMESH.PointStruct( startHexPoint[0],
                                               startHexPoint[1],
                                               startHexPoint[2])
        if isinstance( facetNormal, geomBuilder.GEOM._objref_GEOM_Object):
            facetNormal = self.smeshpyD.GetDirStruct( facetNormal )
        elif isinstance( facetNormal, list ):
            facetNormal = self.smeshpyD.MakeDirStruct( facetNormal[0],
                                                       facetNormal[1],
                                                       facetNormal[2])
        self.mesh.SetParameters( startHexPoint.parameters + facetNormal.PS.parameters )

        self.editor.SplitHexahedraIntoPrisms(elems, startHexPoint, facetNormal, method, allDomains)

    def SplitQuadsNearTriangularFacets(self):
        """
        Split quadrangle faces near triangular facets of volumes

        Note:
                This operation can create gaps in numeration of elements.
                Call :meth:`RenumberElements` to remove the gaps.
        """
        faces_array = self.GetElementsByType(SMESH.FACE)
        for face_id in faces_array:
            if self.GetElemNbNodes(face_id) == 4: # quadrangle
                quad_nodes = self.mesh.GetElemNodes(face_id)
                node1_elems = self.GetNodeInverseElements(quad_nodes[1 -1])
                isVolumeFound = False
                for node1_elem in node1_elems:
                    if not isVolumeFound:
                        if self.GetElementType(node1_elem, True) == SMESH.VOLUME:
                            nb_nodes = self.GetElemNbNodes(node1_elem)
                            if 3 < nb_nodes and nb_nodes < 7: # tetra or penta, or prism
                                volume_elem = node1_elem
                                volume_nodes = self.mesh.GetElemNodes(volume_elem)
                                if volume_nodes.count(quad_nodes[2 -1]) > 0: # 1,2
                                    if volume_nodes.count(quad_nodes[4 -1]) > 0: # 1,2,4
                                        isVolumeFound = True
                                        if volume_nodes.count(quad_nodes[3 -1]) == 0: # 1,2,4 & !3
                                            self.SplitQuad([face_id], False) # diagonal 2-4
                                    elif volume_nodes.count(quad_nodes[3 -1]) > 0: # 1,2,3 & !4
                                        isVolumeFound = True
                                        self.SplitQuad([face_id], True) # diagonal 1-3
                                elif volume_nodes.count(quad_nodes[4 -1]) > 0: # 1,4 & !2
                                    if volume_nodes.count(quad_nodes[3 -1]) > 0: # 1,4,3 & !2
                                        isVolumeFound = True
                                        self.SplitQuad([face_id], True) # diagonal 1-3

    def SplitHexaToTetras (self, theObject, theNode000, theNode001):
        """
        Split hexahedrons into tetrahedrons.

        This operation uses :doc:`pattern_mapping` functionality for splitting.

        Parameters:
                theObject: the object from which the list of hexahedrons is taken; 
                        this is :class:`mesh, sub-mesh, group or filter <SMESH.SMESH_IDSource>`
                theNode000,theNode001: within the range [0,7]; gives the orientation of the
                        pattern relatively each hexahedron: the (0,0,0) key-point of the pattern
                        will be mapped into *theNode000*-th node of each volume, the (0,0,1)
                        key-point will be mapped into *theNode001*-th node of each volume.
                        The (0,0,0) key-point of the used pattern corresponds to a non-split corner.

        Returns:
            True in case of success, False otherwise.

        Note:
                This operation can create gaps in numeration of elements.
                Call :meth:`RenumberElements` to remove the gaps.
        """
#    Pattern:
#                     5.---------.6
#                    /|#*      /|
#                   / | #*    / |
#                  /  |  # * /  |
#                 /   |   # /*  |
#       (0,0,1) 4.---------.7 * |
#                |#*  |1   | # *|
#                | # *.----|---#.2
#                |  #/ *   |   /
#                |  /#  *  |  /
#                | /   # * | /
#                |/      #*|/
#        (0,0,0) 0.---------.3
        pattern_tetra = "!!! Nb of points: \n 8 \n\
        !!! Points: \n\
        0 0 0  !- 0 \n\
        0 1 0  !- 1 \n\
        1 1 0  !- 2 \n\
        1 0 0  !- 3 \n\
        0 0 1  !- 4 \n\
        0 1 1  !- 5 \n\
        1 1 1  !- 6 \n\
        1 0 1  !- 7 \n\
        !!! Indices of points of 6 tetras: \n\
        0 3 4 1 \n\
        7 4 3 1 \n\
        4 7 5 1 \n\
        6 2 5 7 \n\
        1 5 2 7 \n\
        2 3 1 7 \n"

        pattern = self.smeshpyD.GetPattern()
        isDone  = pattern.LoadFromFile(pattern_tetra)
        if not isDone:
            print('Pattern.LoadFromFile :', pattern.GetErrorCode())
            return isDone

        pattern.ApplyToHexahedrons(self.mesh, theObject.GetIDs(), theNode000, theNode001)
        isDone = pattern.MakeMesh(self.mesh, False, False)
        if not isDone: print('Pattern.MakeMesh :', pattern.GetErrorCode())

        # split quafrangle faces near triangular facets of volumes
        self.SplitQuadsNearTriangularFacets()

        return isDone

    def SplitHexaToPrisms (self, theObject, theNode000, theNode001):
        """
        Split hexahedrons into prisms.

        Uses the :doc:`pattern_mapping` functionality for splitting.

        Parameters:
                theObject: the object (:class:`mesh, sub-mesh, group or filter <SMESH.SMESH_IDSource>`) from where the list of hexahedrons is taken;
                theNode000,theNode001: (within the range [0,7]) gives the orientation of the
                        pattern relatively each hexahedron: keypoint (0,0,0) of the pattern
                        will be mapped into the *theNode000* -th node of each volume, keypoint (0,0,1)
                        will be mapped into the *theNode001* -th node of each volume.
                        Edge (0,0,0)-(0,0,1) of used pattern connects two not split corners.

        Returns:
            True in case of success, False otherwise.

        Note:
                This operation can create gaps in numeration of elements.
                Call :meth:`RenumberElements` to remove the gaps.
        """
#        Pattern:     5.---------.6
#                     /|#       /|
#                    / | #     / |
#                   /  |  #   /  |
#                  /   |   # /   |
#        (0,0,1) 4.---------.7   |
#                 |    |    |    |
#                 |   1.----|----.2
#                 |   / *   |   /
#                 |  /   *  |  /
#                 | /     * | /
#                 |/       *|/
#        (0,0,0) 0.---------.3
        pattern_prism = "!!! Nb of points: \n 8 \n\
        !!! Points: \n\
        0 0 0  !- 0 \n\
        0 1 0  !- 1 \n\
        1 1 0  !- 2 \n\
        1 0 0  !- 3 \n\
        0 0 1  !- 4 \n\
        0 1 1  !- 5 \n\
        1 1 1  !- 6 \n\
        1 0 1  !- 7 \n\
        !!! Indices of points of 2 prisms: \n\
        0 1 3 4 5 7 \n\
        2 3 1 6 7 5 \n"

        pattern = self.smeshpyD.GetPattern()
        isDone  = pattern.LoadFromFile(pattern_prism)
        if not isDone:
            print('Pattern.LoadFromFile :', pattern.GetErrorCode())
            return isDone

        pattern.ApplyToHexahedrons(self.mesh, theObject.GetIDs(), theNode000, theNode001)
        isDone = pattern.MakeMesh(self.mesh, False, False)
        if not isDone: print('Pattern.MakeMesh :', pattern.GetErrorCode())

        # Split quafrangle faces near triangular facets of volumes
        self.SplitQuadsNearTriangularFacets()

        return isDone

    def Smooth(self, IDsOfElements, IDsOfFixedNodes,
               MaxNbOfIterations, MaxAspectRatio, Method):
        """
        Smooth elements

        Parameters:
                IDsOfElements: the list if ids of elements to smooth
                IDsOfFixedNodes: the list of ids of fixed nodes.
                        Note that nodes built on edges and boundary nodes are always fixed.
                MaxNbOfIterations: the maximum number of iterations
                MaxAspectRatio: varies in range [1.0, inf]
                Method: is either Laplacian (smesh.LAPLACIAN_SMOOTH)
                        or Centroidal (smesh.CENTROIDAL_SMOOTH)

        Returns:
            True in case of success, False otherwise.
        """

        if IDsOfElements == []:
            IDsOfElements = self.GetElementsId()
        MaxNbOfIterations,MaxAspectRatio,Parameters,hasVars = ParseParameters(MaxNbOfIterations,MaxAspectRatio)
        self.mesh.SetParameters(Parameters)
        return self.editor.Smooth(IDsOfElements, IDsOfFixedNodes,
                                  MaxNbOfIterations, MaxAspectRatio, Method)

    def SmoothObject(self, theObject, IDsOfFixedNodes,
                     MaxNbOfIterations, MaxAspectRatio, Method):
        """
        Smooth elements which belong to the given object

        Parameters:
                theObject: the object to smooth
                IDsOfFixedNodes: the list of ids of fixed nodes.
                        Note that nodes built on edges and boundary nodes are always fixed.
                MaxNbOfIterations: the maximum number of iterations
                MaxAspectRatio: varies in range [1.0, inf]
                Method: is either Laplacian (smesh.LAPLACIAN_SMOOTH)
                        or Centroidal (smesh.CENTROIDAL_SMOOTH)

        Returns:
            True in case of success, False otherwise.
        """

        if ( isinstance( theObject, Mesh )):
            theObject = theObject.GetMesh()
        return self.editor.SmoothObject(theObject, IDsOfFixedNodes,
                                        MaxNbOfIterations, MaxAspectRatio, Method)

    def SmoothParametric(self, IDsOfElements, IDsOfFixedNodes,
                         MaxNbOfIterations, MaxAspectRatio, Method):
        """
        Parametrically smooth the given elements

        Parameters:
                IDsOfElements: the list if ids of elements to smooth
                IDsOfFixedNodes: the list of ids of fixed nodes.
                        Note that nodes built on edges and boundary nodes are always fixed.
                MaxNbOfIterations: the maximum number of iterations
                MaxAspectRatio: varies in range [1.0, inf]
                Method: is either Laplacian (smesh.LAPLACIAN_SMOOTH)
                        or Centroidal (smesh.CENTROIDAL_SMOOTH)

        Returns:
            True in case of success, False otherwise.
        """

        if IDsOfElements == []:
            IDsOfElements = self.GetElementsId()
        MaxNbOfIterations,MaxAspectRatio,Parameters,hasVars = ParseParameters(MaxNbOfIterations,MaxAspectRatio)
        self.mesh.SetParameters(Parameters)
        return self.editor.SmoothParametric(IDsOfElements, IDsOfFixedNodes,
                                            MaxNbOfIterations, MaxAspectRatio, Method)

    def SmoothParametricObject(self, theObject, IDsOfFixedNodes,
                               MaxNbOfIterations, MaxAspectRatio, Method):
        """
        Parametrically smooth the elements which belong to the given object

        Parameters:
                theObject: the object to smooth
                IDsOfFixedNodes: the list of ids of fixed nodes.
                        Note that nodes built on edges and boundary nodes are always fixed.
                MaxNbOfIterations: the maximum number of iterations
                MaxAspectRatio: varies in range [1.0, inf]
                Method: is either Laplacian (smesh.LAPLACIAN_SMOOTH)
                        or Centroidal (smesh.CENTROIDAL_SMOOTH)

        Returns:
            True in case of success, False otherwise.
        """

        if ( isinstance( theObject, Mesh )):
            theObject = theObject.GetMesh()
        return self.editor.SmoothParametricObject(theObject, IDsOfFixedNodes,
                                                  MaxNbOfIterations, MaxAspectRatio, Method)

    def ConvertToQuadratic(self, theForce3d=False, theSubMesh=None, theToBiQuad=False):
        """
        Convert the mesh to quadratic or bi-quadratic, deletes old elements, replacing
        them with quadratic with the same id.

        Parameters:
                theForce3d: method of new node creation:

                  * False - the medium node lies at the geometrical entity from which the mesh element is built
                  * True - the medium node lies at the middle of the line segments connecting two nodes of a mesh element
                theSubMesh: a :class:`sub-mesh, group or filter <SMESH.SMESH_IDSource>` to convert
                theToBiQuad: If True, converts the mesh to bi-quadratic

        Returns:
            :class:`SMESH.ComputeError` which can hold a warning

        Warning:
            If *theSubMesh* is provided, the mesh can become non-conformal

        Note:
                This operation can create gaps in numeration of nodes or elements.
                Call :meth:`RenumberElements` to remove the gaps.
        """

        if isinstance( theSubMesh, Mesh ):
            theSubMesh = theSubMesh.mesh
        if theToBiQuad:
            self.editor.ConvertToBiQuadratic(theForce3d,theSubMesh)
        else:
            if theSubMesh:
                self.editor.ConvertToQuadraticObject(theForce3d,theSubMesh)
            else:
                self.editor.ConvertToQuadratic(theForce3d)
        error = self.editor.GetLastError()
        if error and error.comment:
            print(error.comment)
        return error

    def ConvertFromQuadratic(self, theSubMesh=None):
        """
        Convert the mesh from quadratic to ordinary,
        deletes old quadratic elements,
        replacing them with ordinary mesh elements with the same id.

        Parameters:
            theSubMesh: a :class:`sub-mesh, group or filter <SMESH.SMESH_IDSource>` to convert

        Warning:
            If *theSubMesh* is provided, the mesh can become non-conformal

        Note:
                This operation can create gaps in numeration of nodes or elements.
                Call :meth:`RenumberElements` to remove the gaps.
        """

        if theSubMesh:
            self.editor.ConvertFromQuadraticObject(theSubMesh)
        else:
            return self.editor.ConvertFromQuadratic()

    def Make2DMeshFrom3D(self):
        """
        Create 2D mesh as skin on boundary faces of a 3D mesh

        Returns:
            True if operation has been completed successfully, False otherwise
        """

        return self.editor.Make2DMeshFrom3D()

    def MakeBoundaryMesh(self, elements, dimension=SMESH.BND_2DFROM3D, groupName="", meshName="",
                         toCopyElements=False, toCopyExistingBondary=False):
        """
        Create missing boundary elements

        Parameters:
                elements: elements whose boundary is to be checked:
                        :class:`mesh, sub-mesh, group, filter <SMESH.SMESH_IDSource>` or list of elements.
                        If *elements* is mesh, it must be the mesh whose MakeBoundaryMesh() is called
                dimension: defines type of boundary elements to create, either of
                        { SMESH.BND_2DFROM3D, SMESH.BND_1DFROM3D, SMESH.BND_1DFROM2D }.
                        SMESH.BND_1DFROM3D create mesh edges on all borders of free facets of 3D cells
                groupName: a name of group to store created boundary elements in,
                        "" means not to create the group
                meshName: a name of new mesh to store created boundary elements in,
                        "" means not to create the new mesh
                toCopyElements: if True, the checked elements will be copied into
                        the new mesh else only boundary elements will be copied into the new mesh
                toCopyExistingBondary: if True, not only new but also pre-existing
                        boundary elements will be copied into the new mesh

        Returns:
            tuple (:class:`Mesh`, :class:`group <SMESH.SMESH_Group>`) where boundary elements were added to
        """

        unRegister = genObjUnRegister()
        if isinstance( elements, Mesh ):
            elements = elements.GetMesh()
        if ( isinstance( elements, list )):
            elemType = SMESH.ALL
            if elements: elemType = self.GetElementType( elements[0], iselem=True)
            elements = self.editor.MakeIDSource(elements, elemType)
            unRegister.set( elements )
        mesh, group = self.editor.MakeBoundaryMesh(elements,dimension,groupName,meshName,
                                                   toCopyElements,toCopyExistingBondary)
        if mesh: mesh = self.smeshpyD.Mesh(mesh)
        return mesh, group

    def MakeBoundaryElements(self, dimension=SMESH.BND_2DFROM3D, groupName="", meshName="",
                             toCopyAll=False, groups=[]):
        """
        Create missing boundary elements around either the whole mesh or
        groups of elements

        Parameters:
                dimension: defines type of boundary elements to create, either of
                        { SMESH.BND_2DFROM3D, SMESH.BND_1DFROM3D, SMESH.BND_1DFROM2D }
                groupName: a name of group to store all boundary elements in,
                        "" means not to create the group
                meshName: a name of a new mesh, which is a copy of the initial
                        mesh + created boundary elements; "" means not to create the new mesh
                toCopyAll: if True, the whole initial mesh will be copied into
                        the new mesh else only boundary elements will be copied into the new mesh
                groups: list of :class:`sub-meshes, groups or filters <SMESH.SMESH_IDSource>` of elements to make boundary around

        Returns:
                tuple( long, mesh, group )
                       - long - number of added boundary elements
                       - mesh - the :class:`Mesh` where elements were added to
                       - group - the :class:`group <SMESH.SMESH_Group>` of boundary elements or None
        """

        nb, mesh, group = self.editor.MakeBoundaryElements(dimension,groupName,meshName,
                                                           toCopyAll,groups)
        if mesh: mesh = self.smeshpyD.Mesh(mesh)
        return nb, mesh, group

    def RenumberNodes(self):
        """
        Renumber mesh nodes to remove unused node IDs
        """
        self.editor.RenumberNodes()

    def RenumberElements(self):
        """
        Renumber mesh elements to remove unused element IDs
        """
        self.editor.RenumberElements()

    def _getIdSourceList(self, arg, idType, unRegister):
        """
        Private method converting *arg* into a list of :class:`SMESH.SMESH_IDSource`
        """
        if arg and isinstance( arg, list ):
            if isinstance( arg[0], int ):
                arg = self.GetIDSource( arg, idType )
                unRegister.set( arg )
            elif isinstance( arg[0], Mesh ):
                arg[0] = arg[0].GetMesh()
        elif isinstance( arg, Mesh ):
            arg = arg.GetMesh()
        if arg and isinstance( arg, SMESH._objref_SMESH_IDSource ):
            arg = [arg]
        return arg

    def RotationSweepObjects(self, nodes, edges, faces, Axis, AngleInRadians, NbOfSteps, Tolerance,
                             MakeGroups=False, TotalAngle=False):
        """
        Generate new elements by rotation of the given elements and nodes around the axis

        Parameters:
                nodes: nodes to revolve: a list including ids, :class:`a mesh, sub-meshes, groups or filters <SMESH.SMESH_IDSource>`
                edges: edges to revolve: a list including ids, :class:`a mesh, sub-meshes, groups or filters <SMESH.SMESH_IDSource>`
                faces: faces to revolve: a list including ids, :class:`a mesh, sub-meshes, groups or filters <SMESH.SMESH_IDSource>`
                Axis: the axis of rotation: :class:`SMESH.AxisStruct`, line (geom object) or [x,y,z,dx,dy,dz]
                AngleInRadians: the angle of Rotation (in radians) or a name of variable
                        which defines angle in degrees
                NbOfSteps: the number of steps
                Tolerance: tolerance
                MakeGroups: forces the generation of new groups from existing ones
                TotalAngle: gives meaning of AngleInRadians: if True then it is an angular size
                        of all steps, else - size of each step

        Returns:
            the list of created :class:`groups <SMESH.SMESH_GroupBase>` if *MakeGroups* == True, empty list otherwise
        """

        unRegister = genObjUnRegister()
        nodes = self._getIdSourceList( nodes, SMESH.NODE, unRegister )
        edges = self._getIdSourceList( edges, SMESH.EDGE, unRegister )
        faces = self._getIdSourceList( faces, SMESH.FACE, unRegister )

        if isinstance( Axis, geomBuilder.GEOM._objref_GEOM_Object):
            Axis = self.smeshpyD.GetAxisStruct( Axis )
        if isinstance( Axis, list ):
            Axis = SMESH.AxisStruct( *Axis )

        AngleInRadians,AngleParameters,hasVars = ParseAngles(AngleInRadians)
        NbOfSteps,Tolerance,Parameters,hasVars = ParseParameters(NbOfSteps,Tolerance)
        Parameters = Axis.parameters + var_separator + AngleParameters + var_separator + Parameters
        self.mesh.SetParameters(Parameters)
        if TotalAngle and NbOfSteps:
            AngleInRadians /= NbOfSteps
        return self.editor.RotationSweepObjects( nodes, edges, faces,
                                                 Axis, AngleInRadians,
                                                 NbOfSteps, Tolerance, MakeGroups)

    def RotationSweep(self, IDsOfElements, Axis, AngleInRadians, NbOfSteps, Tolerance,
                      MakeGroups=False, TotalAngle=False):
        """
        Generate new elements by rotation of the elements around the axis

        Parameters:
            IDsOfElements: the list of ids of elements to sweep
            Axis: the axis of rotation, :class:`SMESH.AxisStruct` or line(geom object)
            AngleInRadians: the angle of Rotation (in radians) or a name of variable which defines angle in degrees
            NbOfSteps: the number of steps
            Tolerance: tolerance
            MakeGroups: forces the generation of new groups from existing ones
            TotalAngle: gives meaning of AngleInRadians: if True then it is an angular size
                of all steps, else - size of each step

        Returns:
            the list of created :class:`groups <SMESH.SMESH_GroupBase>` if *MakeGroups* == True, empty list otherwise
        """

        return self.RotationSweepObjects([], IDsOfElements, IDsOfElements, Axis,
                                         AngleInRadians, NbOfSteps, Tolerance,
                                         MakeGroups, TotalAngle)

    def RotationSweepObject(self, theObject, Axis, AngleInRadians, NbOfSteps, Tolerance,
                            MakeGroups=False, TotalAngle=False):
        """
        Generate new elements by rotation of the elements of object around the axis
        theObject object which elements should be sweeped.
        It can be a mesh, a sub mesh or a group.

        Parameters:
            Axis: the axis of rotation, :class:`SMESH.AxisStruct` or line(geom object)
            AngleInRadians: the angle of Rotation
            NbOfSteps: number of steps
            Tolerance: tolerance
            MakeGroups: forces the generation of new groups from existing ones
            TotalAngle: gives meaning of AngleInRadians: if True then it is an angular size
                of all steps, else - size of each step

        Returns:
            the list of created :class:`groups <SMESH.SMESH_GroupBase>` if *MakeGroups* == True, empty list otherwise
        """

        return self.RotationSweepObjects( [], theObject, theObject, Axis,
                                          AngleInRadians, NbOfSteps, Tolerance,
                                          MakeGroups, TotalAngle )

    def RotationSweepObject1D(self, theObject, Axis, AngleInRadians, NbOfSteps, Tolerance,
                              MakeGroups=False, TotalAngle=False):
        """
        Generate new elements by rotation of the elements of object around the axis
        theObject object which elements should be sweeped.
        It can be a mesh, a sub mesh or a group.

        Parameters:
            Axis: the axis of rotation, :class:`SMESH.AxisStruct` or line(geom object)
            AngleInRadians: the angle of Rotation
            NbOfSteps: number of steps
            Tolerance: tolerance
            MakeGroups: forces the generation of new groups from existing ones
            TotalAngle: gives meaning of AngleInRadians: if True then it is an angular size
                of all steps, else - size of each step

        Returns:
            the list of created :class:`groups <SMESH.SMESH_GroupBase>` if *MakeGroups* == True, 
            empty list otherwise
        """

        return self.RotationSweepObjects([],theObject,[], Axis,
                                         AngleInRadians, NbOfSteps, Tolerance,
                                         MakeGroups, TotalAngle)

    def RotationSweepObject2D(self, theObject, Axis, AngleInRadians, NbOfSteps, Tolerance,
                              MakeGroups=False, TotalAngle=False):
        """
        Generate new elements by rotation of the elements of object around the axis
        theObject object which elements should be sweeped.
        It can be a mesh, a sub mesh or a group.

        Parameters:
            Axis: the axis of rotation, :class:`SMESH.AxisStruct` or line(geom object)
            AngleInRadians: the angle of Rotation
            NbOfSteps: number of steps
            Tolerance: tolerance
            MakeGroups: forces the generation of new groups from existing ones
            TotalAngle: gives meaning of AngleInRadians: if True then it is an angular size
                of all steps, else - size of each step

        Returns:
            the list of created :class:`groups <SMESH.SMESH_GroupBase>` if *MakeGroups* == True, empty list otherwise
        """

        return self.RotationSweepObjects([],[],theObject, Axis, AngleInRadians,
                                         NbOfSteps, Tolerance, MakeGroups, TotalAngle)

    def ExtrusionSweepObjects(self, nodes, edges, faces, StepVector, NbOfSteps, MakeGroups=False,
                              scaleFactors=[], linearVariation=False, basePoint=[],
                              angles=[], anglesVariation=False):
        """
        Generate new elements by extrusion of the given elements and nodes

        Parameters:
            nodes: nodes to extrude: a list including ids, :class:`a mesh, sub-meshes, groups or filters <SMESH.SMESH_IDSource>`
            edges: edges to extrude: a list including ids, :class:`a mesh, sub-meshes, groups or filters <SMESH.SMESH_IDSource>`
            faces: faces to extrude: a list including ids, :class:`a mesh, sub-meshes, groups or filters <SMESH.SMESH_IDSource>`
            StepVector: vector or :class:`SMESH.DirStruct` or 3 vector components, defining
                the direction and value of extrusion for one step (the total extrusion
                length will be NbOfSteps * ||StepVector||)
            NbOfSteps: the number of steps
            MakeGroups: forces the generation of new groups from existing ones
            scaleFactors: optional scale factors to apply during extrusion
            linearVariation: if *True*, *scaleFactors* are spread over all *NbOfSteps*,
                else *scaleFactors* [i] is applied to nodes at the i-th extrusion step
            basePoint: optional scaling and rotation center; if not provided, a gravity center of
                nodes and elements being extruded is used as the scaling center.
                It can be either

                        - a list of tree components of the point or
                        - a node ID or
                        - a GEOM point
            angles: list of angles in radians. Nodes at each extrusion step are rotated 
                around *basePoint*, additionally to previous steps.
            anglesVariation: forces the computation of rotation angles as linear
                variation of the given *angles* along path steps
        Returns:
            the list of created :class:`groups <SMESH.SMESH_GroupBase>` if *MakeGroups* == True, empty list otherwise

        Example: :ref:`tui_extrusion`
        """
        unRegister = genObjUnRegister()
        nodes = self._getIdSourceList( nodes, SMESH.NODE, unRegister )
        edges = self._getIdSourceList( edges, SMESH.EDGE, unRegister )
        faces = self._getIdSourceList( faces, SMESH.FACE, unRegister )

        if isinstance( StepVector, geomBuilder.GEOM._objref_GEOM_Object):
            StepVector = self.smeshpyD.GetDirStruct(StepVector)
        if isinstance( StepVector, list ):
            StepVector = self.smeshpyD.MakeDirStruct(*StepVector)

        if isinstance( basePoint, int):
            xyz = self.GetNodeXYZ( basePoint )
            if not xyz:
                raise RuntimeError("Invalid node ID: %s" % basePoint)
            basePoint = xyz
        if isinstance( basePoint, geomBuilder.GEOM._objref_GEOM_Object ):
            basePoint = self.geompyD.PointCoordinates( basePoint )

        NbOfSteps,Parameters,hasVars = ParseParameters(NbOfSteps)
        scaleFactors,scaleParameters,hasVars = ParseParameters(scaleFactors)
        angles,angleParameters,hasVars = ParseAngles(angles)
        Parameters = StepVector.PS.parameters + var_separator + \
                     Parameters + var_separator + \
                     scaleParameters + var_separator + angleParameters
        self.mesh.SetParameters(Parameters)

        return self.editor.ExtrusionSweepObjects( nodes, edges, faces,
                                                  StepVector, NbOfSteps, MakeGroups,
                                                  scaleFactors, linearVariation, basePoint,
                                                  angles, anglesVariation )


    def ExtrusionSweep(self, IDsOfElements, StepVector, NbOfSteps, MakeGroups=False, IsNodes = False):
        """
        Generate new elements by extrusion of the elements with given ids

        Parameters:
            IDsOfElements: the list of ids of elements or nodes for extrusion
            StepVector: vector or :class:`SMESH.DirStruct` or 3 vector components, defining
                the direction and value of extrusion for one step (the total extrusion
                length will be NbOfSteps * ||StepVector||)
            NbOfSteps: the number of steps
            MakeGroups: forces the generation of new groups from existing ones
            IsNodes: is True if elements with given ids are nodes

        Returns:
            the list of created :class:`groups <SMESH.SMESH_GroupBase>` if *MakeGroups* == True, empty list otherwise

        Example: :ref:`tui_extrusion`
        """
        n,e,f = [],[],[]
        if IsNodes: n = IDsOfElements
        else      : e,f, = IDsOfElements,IDsOfElements
        return self.ExtrusionSweepObjects(n,e,f, StepVector, NbOfSteps, MakeGroups)

    def ExtrusionByNormal(self, Elements, StepSize, NbOfSteps,
                          ByAverageNormal=False, UseInputElemsOnly=True, MakeGroups=False, Dim = 2):
        """
        Generate new elements by extrusion along the normal to a discretized surface or wire

        Parameters:
            Elements: elements to extrude - a list including ids, :class:`a mesh, sub-meshes, groups or filters <SMESH.SMESH_IDSource>`.
                Only faces can be extruded so far. A sub-mesh should be a sub-mesh on geom faces.
            StepSize: length of one extrusion step (the total extrusion
                length will be *NbOfSteps* *StepSize*).
            NbOfSteps: number of extrusion steps.
            ByAverageNormal: if True each node is translated by *StepSize*
                along the average of the normal vectors to the faces sharing the node;
                else each node is translated along the same average normal till
                intersection with the plane got by translation of the face sharing
                the node along its own normal by *StepSize*.
            UseInputElemsOnly: to use only *Elements* when computing extrusion direction
                for every node of *Elements*.
            MakeGroups: forces generation of new groups from existing ones.
            Dim: dimension of elements to extrude: 2 - faces or 1 - edges. Extrusion of edges
                is not yet implemented. This parameter is used if *Elements* contains
                both faces and edges, i.e. *Elements* is a Mesh.

        Returns:
            the list of created :class:`groups <SMESH.SMESH_GroupBase>` if *MakeGroups* == True,
            empty list otherwise.
        Example: :ref:`tui_extrusion`
        """

        unRegister = genObjUnRegister()
        if isinstance( Elements, Mesh ):
            Elements = [ Elements.GetMesh() ]
        if isinstance( Elements, list ):
            if not Elements:
                raise RuntimeError("Elements empty!")
            if isinstance( Elements[0], Mesh ):
                Elements = [ Elements[0].GetMesh() ]
            if isinstance( Elements[0], int ):
                Elements = self.GetIDSource( Elements, SMESH.ALL )
                unRegister.set( Elements )
        if not isinstance( Elements, list ):
            Elements = [ Elements ]
        StepSize,NbOfSteps,Parameters,hasVars = ParseParameters(StepSize,NbOfSteps)
        self.mesh.SetParameters(Parameters)
        return self.editor.ExtrusionByNormal(Elements, StepSize, NbOfSteps,
                                             ByAverageNormal, UseInputElemsOnly, MakeGroups, Dim)

    def ExtrusionSweepObject(self, theObject, StepVector, NbOfSteps, MakeGroups=False, IsNodes=False):
        """
        Generate new elements by extrusion of the elements or nodes which belong to the object

        Parameters:
            theObject: the object whose elements or nodes should be processed.
                It can be a :class:`mesh, sub-mesh, group or filter <SMESH.SMESH_IDSource>`.
            StepVector: vector or :class:`SMESH.DirStruct` or 3 vector components, defining
                the direction and value of extrusion for one step (the total extrusion
                length will be NbOfSteps * ||StepVector||)
            NbOfSteps: the number of steps
            MakeGroups: forces the generation of new groups from existing ones
            IsNodes: is True if elements to extrude are nodes

        Returns:
            list of created :class:`groups <SMESH.SMESH_GroupBase>` if *MakeGroups* == True, empty list otherwise
        Example: :ref:`tui_extrusion`
        """

        n,e,f = [],[],[]
        if IsNodes: n    = theObject
        else      : e,f, = theObject,theObject
        return self.ExtrusionSweepObjects(n,e,f, StepVector, NbOfSteps, MakeGroups)

    def ExtrusionSweepObject1D(self, theObject, StepVector, NbOfSteps, MakeGroups=False):
        """
        Generate new elements by extrusion of edges which belong to the object

        Parameters:
            theObject: object whose 1D elements should be processed.
                It can be a :class:`mesh, sub-mesh, group or filter <SMESH.SMESH_IDSource>`.
            StepVector: vector or :class:`SMESH.DirStruct` or 3 vector components, defining
                the direction and value of extrusion for one step (the total extrusion
                length will be NbOfSteps * ||StepVector||)
            NbOfSteps: the number of steps
            MakeGroups: to generate new groups from existing ones

        Returns:
            list of created :class:`groups <SMESH.SMESH_GroupBase>` if *MakeGroups* == True, empty list otherwise
        Example: :ref:`tui_extrusion`
        """

        return self.ExtrusionSweepObjects([],theObject,[], StepVector, NbOfSteps, MakeGroups)

    def ExtrusionSweepObject2D(self, theObject, StepVector, NbOfSteps, MakeGroups=False):
        """
        Generate new elements by extrusion of faces which belong to the object

        Parameters:
            theObject: object whose 2D elements should be processed.
                It can be a :class:`mesh, sub-mesh, group or filter <SMESH.SMESH_IDSource>`.
            StepVector: vector or :class:`SMESH.DirStruct` or 3 vector components, defining
                the direction and value of extrusion for one step (the total extrusion
                length will be NbOfSteps * ||StepVector||)
            NbOfSteps: the number of steps
            MakeGroups: forces the generation of new groups from existing ones

        Returns:
            list of created :class:`groups <SMESH.SMESH_GroupBase>` if *MakeGroups* == True, empty list otherwise
        Example: :ref:`tui_extrusion`
        """

        return self.ExtrusionSweepObjects([],[],theObject, StepVector, NbOfSteps, MakeGroups)

    def AdvancedExtrusion(self, IDsOfElements, StepVector, NbOfSteps,
                          ExtrFlags, SewTolerance, MakeGroups=False):
        """
        Generate new elements by extrusion of the elements with given ids

        Parameters:
            IDsOfElements: is ids of elements
            StepVector: vector or :class:`SMESH.DirStruct` or 3 vector components, defining
                the direction and value of extrusion for one step (the total extrusion
                length will be NbOfSteps * ||StepVector||)
            NbOfSteps: the number of steps
            ExtrFlags: sets flags for extrusion
            SewTolerance: uses for comparing locations of nodes if flag
                EXTRUSION_FLAG_SEW is set
            MakeGroups: forces the generation of new groups from existing ones

        Returns:
            list of created :class:`groups <SMESH.SMESH_GroupBase>` if *MakeGroups* == True, empty list otherwise
        """

        if isinstance( StepVector, geomBuilder.GEOM._objref_GEOM_Object):
            StepVector = self.smeshpyD.GetDirStruct(StepVector)
        if isinstance( StepVector, list ):
            StepVector = self.smeshpyD.MakeDirStruct(*StepVector)
        return self.editor.AdvancedExtrusion(IDsOfElements, StepVector, NbOfSteps,
                                             ExtrFlags, SewTolerance, MakeGroups)

    def ExtrusionAlongPathObjects(self, Nodes, Edges, Faces, PathObject, PathShape=None,
                                  NodeStart=1, HasAngles=False, Angles=[], LinearVariation=False,
                                  HasRefPoint=False, RefPoint=[0,0,0], MakeGroups=False,
                                  ScaleFactors=[], ScalesVariation=False):
        """
        Generate new elements by extrusion of the given elements and nodes along the path.
        The path of extrusion must be a meshed edge.

        Parameters:
            Nodes: nodes to extrude: a list including ids, :class:`a mesh, sub-meshes, groups or filters <SMESH.SMESH_IDSource>`
            Edges: edges to extrude: a list including ids, :class:`a mesh, sub-meshes, groups or filters <SMESH.SMESH_IDSource>`
            Faces: faces to extrude: a list including ids, :class:`a mesh, sub-meshes, groups or filters <SMESH.SMESH_IDSource>`
            PathObject: :class:`mesh, sub-mesh, group or filter <SMESH.SMESH_IDSource>` containing edges along which proceeds the extrusion
            PathShape: optional shape (edge or wire) which defines the sub-mesh of the mesh defined by *PathObject* if the mesh contains not only path segments, else it can be None
            NodeStart: the first or the last node on the path. Defines the direction of extrusion
            HasAngles: not used obsolete
            Angles: list of angles in radians. Nodes at each extrusion step are rotated 
                around *basePoint*, additionally to previous steps.
            LinearVariation: forces the computation of rotation angles as linear
                variation of the given Angles along path steps
            HasRefPoint: allows using the reference point
            RefPoint: optional scaling and rotation center (mass center of the extruded
                elements by default). The User can specify any point as the Reference Point. 
                *RefPoint* can be either GEOM Vertex, [x,y,z] or :class:`SMESH.PointStruct`
            MakeGroups: forces the generation of new groups from existing ones
            ScaleFactors: optional scale factors to apply during extrusion
            ScalesVariation: if *True*, *scaleFactors* are spread over all *NbOfSteps*,
                else *scaleFactors* [i] is applied to nodes at the i-th extrusion step

        Returns:
            list of created :class:`groups <SMESH.SMESH_GroupBase>` and 
            :class:`error code <SMESH.SMESH_MeshEditor.Extrusion_Error>`
        Example: :ref:`tui_extrusion_along_path`
        """

        unRegister = genObjUnRegister()
        Nodes = self._getIdSourceList( Nodes, SMESH.NODE, unRegister )
        Edges = self._getIdSourceList( Edges, SMESH.EDGE, unRegister )
        Faces = self._getIdSourceList( Faces, SMESH.FACE, unRegister )

        if isinstance( RefPoint, geomBuilder.GEOM._objref_GEOM_Object):
            RefPoint = self.smeshpyD.GetPointStruct(RefPoint)
        if isinstance( RefPoint, list ):
            if not RefPoint: RefPoint = [0,0,0]
            RefPoint = SMESH.PointStruct( *RefPoint )
        if isinstance( PathObject, Mesh ):
            PathObject = PathObject.GetMesh()
        Angles,AnglesParameters,hasVars = ParseAngles(Angles)
        ScaleFactors,ScalesParameters,hasVars = ParseParameters(ScaleFactors)
        Parameters = AnglesParameters + var_separator + \
                     RefPoint.parameters + var_separator + ScalesParameters 
        self.mesh.SetParameters(Parameters)
        return self.editor.ExtrusionAlongPathObjects(Nodes, Edges, Faces,
                                                     PathObject, PathShape, NodeStart,
                                                     HasAngles, Angles, LinearVariation,
                                                     HasRefPoint, RefPoint, MakeGroups,
                                                     ScaleFactors, ScalesVariation)

    def ExtrusionAlongPathX(self, Base, Path, NodeStart,
                            HasAngles=False, Angles=[], LinearVariation=False,
                            HasRefPoint=False, RefPoint=[0,0,0], MakeGroups=False,
                            ElemType=SMESH.FACE):
        """
        Generate new elements by extrusion of the given elements.
        The path of extrusion must be a meshed edge.

        Parameters:
            Base: :class:`mesh, sub-mesh, group, filter <SMESH.SMESH_IDSource>`, or list of ids of elements for extrusion
            Path: 1D mesh or 1D sub-mesh, along which proceeds the extrusion
            NodeStart: the start node from Path. Defines the direction of extrusion
            HasAngles: not used obsolete
            Angles: list of angles in radians. Nodes at each extrusion step are rotated 
                around *basePoint*, additionally to previous steps.
            LinearVariation: forces the computation of rotation angles as linear
                variation of the given Angles along path steps
            HasRefPoint: allows using the reference point
            RefPoint: the reference point around which the elements are rotated (the mass
                center of the elements by default).
                The User can specify any point as the Reference Point.
                *RefPoint* can be either GEOM Vertex, [x,y,z] or :class:`SMESH.PointStruct`
            MakeGroups: forces the generation of new groups from existing ones
            ElemType: type of elements for extrusion (if param Base is a mesh)

        Returns:
            list of created :class:`groups <SMESH.SMESH_GroupBase>` and
            :class:`error code <SMESH.SMESH_MeshEditor.Extrusion_Error>`
            if *MakeGroups* == True, only :class:`error code <SMESH.SMESH_MeshEditor.Extrusion_Error>`
            otherwise
        Example: :ref:`tui_extrusion_along_path`
        """

        n,e,f = [],[],[]
        if ElemType == SMESH.NODE: n = Base
        if ElemType == SMESH.EDGE: e = Base
        if ElemType == SMESH.FACE: f = Base
        gr,er = self.ExtrusionAlongPathObjects(n,e,f, Path, None, NodeStart,
                                               HasAngles, Angles, LinearVariation,
                                               HasRefPoint, RefPoint, MakeGroups)
        if MakeGroups: return gr,er
        return er

    def ExtrusionAlongPath(self, IDsOfElements, PathMesh, PathShape, NodeStart,
                           HasAngles=False, Angles=[], HasRefPoint=False, RefPoint=[],
                           MakeGroups=False, LinearVariation=False):
        """
        Generate new elements by extrusion of the given elements.
        The path of extrusion must be a meshed edge.

        Parameters:
            IDsOfElements: ids of elements
            PathMesh: mesh containing a 1D sub-mesh on the edge, along which proceeds the extrusion
            PathShape: shape (edge) defines the sub-mesh for the path
            NodeStart: the first or the last node on the edge. Defines the direction of extrusion
            HasAngles: not used obsolete
            Angles: list of angles in radians. Nodes at each extrusion step are rotated 
                around *basePoint*, additionally to previous steps.
            HasRefPoint: allows using the reference point
            RefPoint: the reference point around which the shape is rotated (the mass center of the shape by default).
                The User can specify any point as the Reference Point.
                *RefPoint* can be either GEOM Vertex, [x,y,z] or :class:`SMESH.PointStruct`
            MakeGroups: forces the generation of new groups from existing ones
            LinearVariation: forces the computation of rotation angles as linear
                variation of the given Angles along path steps

        Returns:
            list of created :class:`groups <SMESH.SMESH_GroupBase>` and
            :class:`error code <SMESH.SMESH_MeshEditor.Extrusion_Error>`
            if *MakeGroups* == True, only :class:`error code <SMESH.SMESH_MeshEditor.Extrusion_Error>` otherwise
        Example: :ref:`tui_extrusion_along_path`
        """

        if not IDsOfElements:
            IDsOfElements = [ self.GetMesh() ]
        n,e,f = [],IDsOfElements,IDsOfElements
        gr,er = self.ExtrusionAlongPathObjects(n,e,f, PathMesh, PathShape,
                                               NodeStart, HasAngles, Angles,
                                               LinearVariation,
                                               HasRefPoint, RefPoint, MakeGroups)
        if MakeGroups: return gr,er
        return er

    def ExtrusionAlongPathObject(self, theObject, PathMesh, PathShape, NodeStart,
                                 HasAngles=False, Angles=[], HasRefPoint=False, RefPoint=[],
                                 MakeGroups=False, LinearVariation=False):
        """
        Generate new elements by extrusion of the elements which belong to the object.
        The path of extrusion must be a meshed edge.

        Parameters:
            theObject: the object whose elements should be processed.
                It can be a :class:`mesh, sub-mesh, group or filter <SMESH.SMESH_IDSource>`.
            PathMesh: mesh containing a 1D sub-mesh on the edge, along which the extrusion proceeds
            PathShape: shape (edge) defines the sub-mesh for the path
            NodeStart: the first or the last node on the edge. Defines the direction of extrusion
            HasAngles: not used obsolete
            Angles: list of angles in radians. Nodes at each extrusion step are rotated 
                around *basePoint*, additionally to previous steps.
            HasRefPoint: allows using the reference point
            RefPoint: the reference point around which the shape is rotated (the mass center of the shape by default).
                The User can specify any point as the Reference Point.
                *RefPoint* can be either GEOM Vertex, [x,y,z] or :class:`SMESH.PointStruct`
            MakeGroups: forces the generation of new groups from existing ones
            LinearVariation: forces the computation of rotation angles as linear
                variation of the given Angles along path steps

        Returns:
            list of created :class:`groups <SMESH.SMESH_GroupBase>` and 
            :class:`error code <SMESH.SMESH_MeshEditor.Extrusion_Error>` if *MakeGroups* == True,
            only :class:`error code <SMESH.SMESH_MeshEditor.Extrusion_Error>` otherwise
        Example: :ref:`tui_extrusion_along_path`
        """

        n,e,f = [],theObject,theObject
        gr,er = self.ExtrusionAlongPathObjects(n,e,f, PathMesh, PathShape, NodeStart,
                                               HasAngles, Angles, LinearVariation,
                                               HasRefPoint, RefPoint, MakeGroups)
        if MakeGroups: return gr,er
        return er

    def ExtrusionAlongPathObject1D(self, theObject, PathMesh, PathShape, NodeStart,
                                   HasAngles=False, Angles=[], HasRefPoint=False, RefPoint=[],
                                   MakeGroups=False, LinearVariation=False):
        """
        Generate new elements by extrusion of mesh segments which belong to the object.
        The path of extrusion must be a meshed edge.

        Parameters:
            theObject: the object whose 1D elements should be processed.
                It can be a :class:`mesh, sub-mesh, group or filter <SMESH.SMESH_IDSource>`.
            PathMesh: mesh containing a 1D sub-mesh on the edge, along which the extrusion proceeds
            PathShape: shape (edge) defines the sub-mesh for the path
            NodeStart: the first or the last node on the edge. Defines the direction of extrusion
            HasAngles: not used obsolete
            Angles: list of angles in radians. Nodes at each extrusion step are rotated 
                around *basePoint*, additionally to previous steps.
            HasRefPoint: allows using the reference point
            RefPoint:  the reference point around which the shape is rotated (the mass center of the shape by default).
                The User can specify any point as the Reference Point.
                *RefPoint* can be either GEOM Vertex, [x,y,z] or :class:`SMESH.PointStruct`
            MakeGroups: forces the generation of new groups from existing ones
            LinearVariation: forces the computation of rotation angles as linear
                variation of the given Angles along path steps

        Returns:
            list of created :class:`groups <SMESH.SMESH_GroupBase>` and 
            :class:`error code <SMESH.SMESH_MeshEditor.Extrusion_Error>` if *MakeGroups* == True,
            only :class:`error code <SMESH.SMESH_MeshEditor.Extrusion_Error>` otherwise
        Example: :ref:`tui_extrusion_along_path`
        """

        n,e,f = [],theObject,[]
        gr,er = self.ExtrusionAlongPathObjects(n,e,f, PathMesh, PathShape, NodeStart,
                                               HasAngles, Angles, LinearVariation,
                                               HasRefPoint, RefPoint, MakeGroups)
        if MakeGroups: return gr,er
        return er

    def ExtrusionAlongPathObject2D(self, theObject, PathMesh, PathShape, NodeStart,
                                   HasAngles=False, Angles=[], HasRefPoint=False, RefPoint=[],
                                   MakeGroups=False, LinearVariation=False):
        """
        Generate new elements by extrusion of faces which belong to the object.
        The path of extrusion must be a meshed edge.

        Parameters:
            theObject: the object whose 2D elements should be processed.
                It can be a :class:`mesh, sub-mesh, group or filter <SMESH.SMESH_IDSource>`.
            PathMesh: mesh containing a 1D sub-mesh on the edge, along which the extrusion proceeds
            PathShape: shape (edge) defines the sub-mesh for the path
            NodeStart: the first or the last node on the edge. Defines the direction of extrusion
            HasAngles: not used obsolete
            Angles: list of angles in radians. Nodes at each extrusion step are rotated 
                around *basePoint*, additionally to previous steps.
            HasRefPoint: allows using the reference point
            RefPoint: the reference point around which the shape is rotated (the mass center of the shape by default).
                The User can specify any point as the Reference Point.
                *RefPoint* can be either GEOM Vertex, [x,y,z] or :class:`SMESH.PointStruct`
            MakeGroups: forces the generation of new groups from existing ones
            LinearVariation: forces the computation of rotation angles as linear
                variation of the given Angles along path steps

        Returns:
            list of created :class:`groups <SMESH.SMESH_GroupBase>` and 
            :class:`error code <SMESH.SMESH_MeshEditor.Extrusion_Error>` if *MakeGroups* == True,
            only :class:`error code <SMESH.SMESH_MeshEditor.Extrusion_Error>` otherwise
        Example: :ref:`tui_extrusion_along_path`
        """

        n,e,f = [],[],theObject
        gr,er = self.ExtrusionAlongPathObjects(n,e,f, PathMesh, PathShape, NodeStart,
                                               HasAngles, Angles, LinearVariation,
                                               HasRefPoint, RefPoint, MakeGroups)
        if MakeGroups: return gr,er
        return er

    def Mirror(self, IDsOfElements, Mirror, theMirrorType=None, Copy=0, MakeGroups=False):
        """
        Create a symmetrical copy of mesh elements

        Parameters:
            IDsOfElements: list of elements ids
            Mirror: is :class:`SMESH.AxisStruct` or geom object (point, line, plane)
            theMirrorType: smesh.POINT, smesh.AXIS or smesh.PLANE.
                If the *Mirror* is a geom object this parameter is unnecessary
            Copy: allows to copy element (Copy is 1) or to replace with its mirroring (Copy is 0)
            MakeGroups: forces the generation of new groups from existing ones (if Copy)

        Returns:
            list of created :class:`groups <SMESH.SMESH_GroupBase>` if *MakeGroups* == True, empty list otherwise
        """

        if IDsOfElements == []:
            IDsOfElements = self.GetElementsId()
        if ( isinstance( Mirror, geomBuilder.GEOM._objref_GEOM_Object)):
            Mirror        = self.smeshpyD.GetAxisStruct(Mirror)
            theMirrorType = Mirror._mirrorType
        else:
            self.mesh.SetParameters(Mirror.parameters)
        if Copy and MakeGroups:
            return self.editor.MirrorMakeGroups(IDsOfElements, Mirror, theMirrorType)
        self.editor.Mirror(IDsOfElements, Mirror, theMirrorType, Copy)
        return []

    def MirrorMakeMesh(self, IDsOfElements, Mirror, theMirrorType=0, MakeGroups=0, NewMeshName=""):
        """
        Create a new mesh by a symmetrical copy of mesh elements

        Parameters:
            IDsOfElements: the list of elements ids
            Mirror: is :class:`SMESH.AxisStruct` or geom object (point, line, plane)
            theMirrorType: smesh.POINT, smesh.AXIS or smesh.PLANE.
                If the *Mirror* is a geom object this parameter is unnecessary
            MakeGroups: to generate new groups from existing ones
            NewMeshName: a name of the new mesh to create

        Returns:
            instance of class :class:`Mesh`
        """

        if IDsOfElements == []:
            IDsOfElements = self.GetElementsId()
        if ( isinstance( Mirror, geomBuilder.GEOM._objref_GEOM_Object)):
            Mirror        = self.smeshpyD.GetAxisStruct(Mirror)
            theMirrorType = Mirror._mirrorType
        else:
            self.mesh.SetParameters(Mirror.parameters)
        mesh = self.editor.MirrorMakeMesh(IDsOfElements, Mirror, theMirrorType,
                                          MakeGroups, NewMeshName)
        return Mesh(self.smeshpyD,self.geompyD,mesh)

    def MirrorObject (self, theObject, Mirror, theMirrorType=None, Copy=0, MakeGroups=False):
        """
        Create a symmetrical copy of the object

        Parameters:
            theObject: :class:`mesh, sub-mesh, group or filter <SMESH.SMESH_IDSource>`
            Mirror: :class:`SMESH.AxisStruct` or geom object (point, line, plane)
            theMirrorType: smesh.POINT, smesh.AXIS or smesh.PLANE.
                If the *Mirror* is a geom object this parameter is unnecessary
            Copy: allows copying the element (Copy==True) or replacing it with its mirror (Copy==False)
            MakeGroups: forces the generation of new groups from existing ones (if Copy)

        Returns:
            list of created :class:`groups <SMESH.SMESH_GroupBase>` if *MakeGroups* == True, empty list otherwise
        """

        if ( isinstance( theObject, Mesh )):
            theObject = theObject.GetMesh()
        if ( isinstance( Mirror, geomBuilder.GEOM._objref_GEOM_Object)):
            Mirror        = self.smeshpyD.GetAxisStruct(Mirror)
            theMirrorType = Mirror._mirrorType
        else:
            self.mesh.SetParameters(Mirror.parameters)
        if Copy and MakeGroups:
            return self.editor.MirrorObjectMakeGroups(theObject, Mirror, theMirrorType)
        self.editor.MirrorObject(theObject, Mirror, theMirrorType, Copy)
        return []

    def MirrorObjectMakeMesh (self, theObject, Mirror, theMirrorType=0,MakeGroups=0,NewMeshName=""):
        """
        Create a new mesh by a symmetrical copy of the object

        Parameters:
            theObject: :class:`mesh, sub-mesh, group or filter <SMESH.SMESH_IDSource>`
            Mirror: :class:`SMESH.AxisStruct` or geom object (point, line, plane)
            theMirrorType: smesh.POINT, smesh.AXIS or smesh.PLANE.
                If the *Mirror* is a geom object this parameter is unnecessary
            MakeGroups: forces the generation of new groups from existing ones
            NewMeshName: the name of the new mesh to create

        Returns:
            instance of class :class:`Mesh`
        """

        if ( isinstance( theObject, Mesh )):
            theObject = theObject.GetMesh()
        if ( isinstance( Mirror, geomBuilder.GEOM._objref_GEOM_Object)):
            Mirror        = self.smeshpyD.GetAxisStruct(Mirror)
            theMirrorType = Mirror._mirrorType
        else:
            self.mesh.SetParameters(Mirror.parameters)
        mesh = self.editor.MirrorObjectMakeMesh(theObject, Mirror, theMirrorType,
                                                MakeGroups, NewMeshName)
        return Mesh( self.smeshpyD,self.geompyD,mesh )

    def Translate(self, IDsOfElements, Vector, Copy, MakeGroups=False):
        """
        Translate the elements

        Parameters:
            IDsOfElements: list of elements ids
            Vector: the direction of translation (:class:`SMESH.DirStruct` or vector or 3 vector components)
            Copy: allows copying the translated elements
            MakeGroups: forces the generation of new groups from existing ones (if Copy)

        Returns:
            list of created :class:`groups <SMESH.SMESH_GroupBase>` if *MakeGroups* == True, empty list otherwise
        """

        if IDsOfElements == []:
            IDsOfElements = self.GetElementsId()
        if ( isinstance( Vector, geomBuilder.GEOM._objref_GEOM_Object)):
            Vector = self.smeshpyD.GetDirStruct(Vector)
        if isinstance( Vector, list ):
            Vector = self.smeshpyD.MakeDirStruct(*Vector)
        self.mesh.SetParameters(Vector.PS.parameters)
        if Copy and MakeGroups:
            return self.editor.TranslateMakeGroups(IDsOfElements, Vector)
        self.editor.Translate(IDsOfElements, Vector, Copy)
        return []

    def TranslateMakeMesh(self, IDsOfElements, Vector, MakeGroups=False, NewMeshName=""):
        """
        Create a new mesh of translated elements

        Parameters:
            IDsOfElements: list of elements ids
            Vector: the direction of translation (:class:`SMESH.DirStruct` or vector or 3 vector components)
            MakeGroups: forces the generation of new groups from existing ones
            NewMeshName: the name of the newly created mesh

        Returns:
            instance of class :class:`Mesh`
        """

        if IDsOfElements == []:
            IDsOfElements = self.GetElementsId()
        if ( isinstance( Vector, geomBuilder.GEOM._objref_GEOM_Object)):
            Vector = self.smeshpyD.GetDirStruct(Vector)
        if isinstance( Vector, list ):
            Vector = self.smeshpyD.MakeDirStruct(*Vector)
        self.mesh.SetParameters(Vector.PS.parameters)
        mesh = self.editor.TranslateMakeMesh(IDsOfElements, Vector, MakeGroups, NewMeshName)
        return Mesh ( self.smeshpyD, self.geompyD, mesh )

    def TranslateObject(self, theObject, Vector, Copy, MakeGroups=False):
        """
        Translate the object

        Parameters:
            theObject: the object to translate (:class:`mesh, sub-mesh, group or filter <SMESH.SMESH_IDSource>`)
            Vector: direction of translation (:class:`SMESH.DirStruct` or geom vector or 3 vector components)
            Copy: allows copying the translated elements
            MakeGroups: forces the generation of new groups from existing ones (if Copy)

        Returns:
            list of created :class:`groups <SMESH.SMESH_GroupBase>` if *MakeGroups* == True, empty list otherwise
        """

        if ( isinstance( theObject, Mesh )):
            theObject = theObject.GetMesh()
        if ( isinstance( Vector, geomBuilder.GEOM._objref_GEOM_Object)):
            Vector = self.smeshpyD.GetDirStruct(Vector)
        if isinstance( Vector, list ):
            Vector = self.smeshpyD.MakeDirStruct(*Vector)
        self.mesh.SetParameters(Vector.PS.parameters)
        if Copy and MakeGroups:
            return self.editor.TranslateObjectMakeGroups(theObject, Vector)
        self.editor.TranslateObject(theObject, Vector, Copy)
        return []

    def TranslateObjectMakeMesh(self, theObject, Vector, MakeGroups=False, NewMeshName=""):
        """
        Create a new mesh from the translated object

        Parameters:
            theObject: the object to translate (:class:`mesh, sub-mesh, group or filter <SMESH.SMESH_IDSource>`)
            Vector: the direction of translation (:class:`SMESH.DirStruct` or geom vector or 3 vector components)
            MakeGroups: forces the generation of new groups from existing ones
            NewMeshName: the name of the newly created mesh

        Returns:
            instance of class :class:`Mesh`
        """

        if isinstance( theObject, Mesh ):
            theObject = theObject.GetMesh()
        if isinstance( Vector, geomBuilder.GEOM._objref_GEOM_Object ):
            Vector = self.smeshpyD.GetDirStruct(Vector)
        if isinstance( Vector, list ):
            Vector = self.smeshpyD.MakeDirStruct(*Vector)
        self.mesh.SetParameters(Vector.PS.parameters)
        mesh = self.editor.TranslateObjectMakeMesh(theObject, Vector, MakeGroups, NewMeshName)
        return Mesh( self.smeshpyD, self.geompyD, mesh )



    def Scale(self, theObject, thePoint, theScaleFact, Copy, MakeGroups=False):
        """
        Scale the object

        Parameters:
            theObject: the object to translate (:class:`mesh, sub-mesh, group or filter <SMESH.SMESH_IDSource>`)
            thePoint: base point for scale (:class:`SMESH.PointStruct` or list of 3 coordinates)
            theScaleFact: list of 1-3 scale factors for axises
            Copy: allows copying the translated elements
            MakeGroups: forces the generation of new groups from existing
                ones (if Copy)

        Returns:
            list of created :class:`groups <SMESH.SMESH_GroupBase>` if *MakeGroups* == True,
            empty list otherwise
        """
        unRegister = genObjUnRegister()
        if ( isinstance( theObject, Mesh )):
            theObject = theObject.GetMesh()
        if ( isinstance( theObject, list )):
            theObject = self.GetIDSource(theObject, SMESH.ALL)
            unRegister.set( theObject )
        if ( isinstance( thePoint, list )):
            thePoint = PointStruct( thePoint[0], thePoint[1], thePoint[2] )
        if ( isinstance( theScaleFact, float )):
            theScaleFact = [theScaleFact]
        if ( isinstance( theScaleFact, int )):
            theScaleFact = [ float(theScaleFact)]

        self.mesh.SetParameters(thePoint.parameters)

        if Copy and MakeGroups:
            return self.editor.ScaleMakeGroups(theObject, thePoint, theScaleFact)
        self.editor.Scale(theObject, thePoint, theScaleFact, Copy)
        return []

    def ScaleMakeMesh(self, theObject, thePoint, theScaleFact, MakeGroups=False, NewMeshName=""):
        """
        Create a new mesh from the translated object

        Parameters:
            theObject: the object to translate (:class:`mesh, sub-mesh, group or filter <SMESH.SMESH_IDSource>`)
            thePoint: base point for scale (:class:`SMESH.PointStruct` or list of 3 coordinates)
            theScaleFact: list of 1-3 scale factors for axises
            MakeGroups: forces the generation of new groups from existing ones
            NewMeshName: the name of the newly created mesh

        Returns:
            instance of class :class:`Mesh`
        """
        unRegister = genObjUnRegister()
        if (isinstance(theObject, Mesh)):
            theObject = theObject.GetMesh()
        if ( isinstance( theObject, list )):
            theObject = self.GetIDSource(theObject,SMESH.ALL)
            unRegister.set( theObject )
        if ( isinstance( thePoint, list )):
            thePoint = PointStruct( thePoint[0], thePoint[1], thePoint[2] )
        if ( isinstance( theScaleFact, float )):
            theScaleFact = [theScaleFact]
        if ( isinstance( theScaleFact, int )):
            theScaleFact = [ float(theScaleFact)]

        self.mesh.SetParameters(thePoint.parameters)
        mesh = self.editor.ScaleMakeMesh(theObject, thePoint, theScaleFact,
                                         MakeGroups, NewMeshName)
        return Mesh( self.smeshpyD, self.geompyD, mesh )



    def Rotate (self, IDsOfElements, Axis, AngleInRadians, Copy, MakeGroups=False):
        """
        Rotate the elements

        Parameters:
            IDsOfElements: list of elements ids
            Axis: the axis of rotation (:class:`SMESH.AxisStruct` or geom line)
            AngleInRadians: the angle of rotation (in radians) or a name of variable which defines angle in degrees
            Copy: allows copying the rotated elements
            MakeGroups: forces the generation of new groups from existing ones (if Copy)

        Returns:
            list of created :class:`groups <SMESH.SMESH_GroupBase>` if *MakeGroups* == True, empty list otherwise
        """


        if IDsOfElements == []:
            IDsOfElements = self.GetElementsId()
        if ( isinstance( Axis, geomBuilder.GEOM._objref_GEOM_Object)):
            Axis = self.smeshpyD.GetAxisStruct(Axis)
        AngleInRadians,Parameters,hasVars = ParseAngles(AngleInRadians)
        Parameters = Axis.parameters + var_separator + Parameters
        self.mesh.SetParameters(Parameters)
        if Copy and MakeGroups:
            return self.editor.RotateMakeGroups(IDsOfElements, Axis, AngleInRadians)
        self.editor.Rotate(IDsOfElements, Axis, AngleInRadians, Copy)
        return []

    def RotateMakeMesh (self, IDsOfElements, Axis, AngleInRadians, MakeGroups=0, NewMeshName=""):
        """
        Create a new mesh of rotated elements

        Parameters:
            IDsOfElements: list of element ids
            Axis: the axis of rotation (:class:`SMESH.AxisStruct` or geom line)
            AngleInRadians: the angle of rotation (in radians) or a name of variable which defines angle in degrees
            MakeGroups: forces the generation of new groups from existing ones
            NewMeshName: the name of the newly created mesh

        Returns:
            instance of class :class:`Mesh`
        """

        if IDsOfElements == []:
            IDsOfElements = self.GetElementsId()
        if ( isinstance( Axis, geomBuilder.GEOM._objref_GEOM_Object)):
            Axis = self.smeshpyD.GetAxisStruct(Axis)
        AngleInRadians,Parameters,hasVars = ParseAngles(AngleInRadians)
        Parameters = Axis.parameters + var_separator + Parameters
        self.mesh.SetParameters(Parameters)
        mesh = self.editor.RotateMakeMesh(IDsOfElements, Axis, AngleInRadians,
                                          MakeGroups, NewMeshName)
        return Mesh( self.smeshpyD, self.geompyD, mesh )

    def RotateObject (self, theObject, Axis, AngleInRadians, Copy, MakeGroups=False):
        """
        Rotate the object

        Parameters:
            theObject: the object to rotate (:class:`mesh, sub-mesh, group or filter <SMESH.SMESH_IDSource>`)
            Axis: the axis of rotation (:class:`SMESH.AxisStruct` or geom line)
            AngleInRadians: the angle of rotation (in radians) or a name of variable which defines angle in degrees
            Copy: allows copying the rotated elements
            MakeGroups: forces the generation of new groups from existing ones (if Copy)

        Returns:
            list of created :class:`groups <SMESH.SMESH_GroupBase>` if MakeGroups==True, empty list otherwise
        """

        if (isinstance(theObject, Mesh)):
            theObject = theObject.GetMesh()
        if (isinstance(Axis, geomBuilder.GEOM._objref_GEOM_Object)):
            Axis = self.smeshpyD.GetAxisStruct(Axis)
        AngleInRadians,Parameters,hasVars = ParseAngles(AngleInRadians)
        Parameters = Axis.parameters + ":" + Parameters
        self.mesh.SetParameters(Parameters)
        if Copy and MakeGroups:
            return self.editor.RotateObjectMakeGroups(theObject, Axis, AngleInRadians)
        self.editor.RotateObject(theObject, Axis, AngleInRadians, Copy)
        return []

    def RotateObjectMakeMesh(self, theObject, Axis, AngleInRadians, MakeGroups=0,NewMeshName=""):
        """
        Create a new mesh from the rotated object

        Parameters:
            theObject: the object to rotate (:class:`mesh, sub-mesh, group or filter <SMESH.SMESH_IDSource>`)
            Axis: the axis of rotation (:class:`SMESH.AxisStruct` or geom line)
            AngleInRadians: the angle of rotation (in radians)  or a name of variable which defines angle in degrees
            MakeGroups: forces the generation of new groups from existing ones
            NewMeshName: the name of the newly created mesh

        Returns:
            instance of class :class:`Mesh`
        """

        if (isinstance( theObject, Mesh )):
            theObject = theObject.GetMesh()
        if (isinstance(Axis, geomBuilder.GEOM._objref_GEOM_Object)):
            Axis = self.smeshpyD.GetAxisStruct(Axis)
        AngleInRadians,Parameters,hasVars = ParseAngles(AngleInRadians)
        Parameters = Axis.parameters + ":" + Parameters
        mesh = self.editor.RotateObjectMakeMesh(theObject, Axis, AngleInRadians,
                                                       MakeGroups, NewMeshName)
        self.mesh.SetParameters(Parameters)
        return Mesh( self.smeshpyD, self.geompyD, mesh )

    def Offset(self, theObject, Value, MakeGroups=False, CopyElements=False, NewMeshName=''):
        """
        Create an offset mesh from the given 2D object

        Parameters:
            theObject (SMESH.SMESH_IDSource): the source object (mesh, sub-mesh, group or filter)
            theValue (float): signed offset size
            MakeGroups (boolean): forces the generation of new groups from existing ones
            CopyElements (boolean): if *NewMeshName* is empty, True means to keep original elements, 
                          False means to remove original elements.
            NewMeshName (string): the name of a mesh to create. If empty, offset elements are added to this mesh

        Returns:
            A tuple (:class:`Mesh`, list of :class:`groups <SMESH.SMESH_Group>`)
        """

        if isinstance( theObject, Mesh ):
            theObject = theObject.GetMesh()
        theValue,Parameters,hasVars = ParseParameters(Value)
        mesh_groups = self.editor.Offset(theObject, Value, MakeGroups, CopyElements, NewMeshName)
        self.mesh.SetParameters(Parameters)
        if mesh_groups[0]:
            return Mesh( self.smeshpyD, self.geompyD, mesh_groups[0] ), mesh_groups[1]
        return mesh_groups

    def FindCoincidentNodes (self, Tolerance, SeparateCornerAndMediumNodes=False):
        """
        Find groups of adjacent nodes within Tolerance.

        Parameters:
            Tolerance (float): the value of tolerance
            SeparateCornerAndMediumNodes (boolean): if *True*, in quadratic mesh puts
                corner and medium nodes in separate groups thus preventing
                their further merge.

        Returns:
            the list of groups of nodes IDs (e.g. [[1,12,13],[4,25]])
        """

        return self.editor.FindCoincidentNodes( Tolerance, SeparateCornerAndMediumNodes )

    def FindCoincidentNodesOnPart (self, SubMeshOrGroup, Tolerance,
                                   exceptNodes=[], SeparateCornerAndMediumNodes=False):
        """
        Find groups of adjacent nodes within Tolerance.

        Parameters:
            Tolerance: the value of tolerance
            SubMeshOrGroup: list of :class:`sub-meshes, groups or filters <SMESH.SMESH_IDSource>` or of node IDs
            exceptNodes: list of either SubMeshes, Groups or node IDs to exclude from search
            SeparateCornerAndMediumNodes: if *True*, in quadratic mesh puts
                corner and medium nodes in separate groups thus preventing
                their further merge.

        Returns:
            the list of groups of nodes IDs (e.g. [[1,12,13],[4,25]])
        """

        unRegister = genObjUnRegister()
        if not isinstance( SubMeshOrGroup, list ):
            SubMeshOrGroup = [ SubMeshOrGroup ]
        for i,obj in enumerate( SubMeshOrGroup ):
            if isinstance( obj, Mesh ):
                SubMeshOrGroup = [ obj.GetMesh() ]
                break
            if isinstance( obj, int ):
                SubMeshOrGroup = [ self.GetIDSource( SubMeshOrGroup, SMESH.NODE )]
                unRegister.set( SubMeshOrGroup )
                break

        if not isinstance( exceptNodes, list ):
            exceptNodes = [ exceptNodes ]
        if exceptNodes and isinstance( exceptNodes[0], int ):
            exceptNodes = [ self.GetIDSource( exceptNodes, SMESH.NODE )]
            unRegister.set( exceptNodes )

        return self.editor.FindCoincidentNodesOnPartBut(SubMeshOrGroup, Tolerance,
                                                        exceptNodes, SeparateCornerAndMediumNodes)

    def MergeNodes (self, GroupsOfNodes, NodesToKeep=[], AvoidMakingHoles=False):
        """
        Merge nodes

        Parameters:
            GroupsOfNodes: a list of groups of nodes IDs for merging.
                E.g. [[1,12,13],[25,4]] means that nodes 12, 13 and 4 will be removed and replaced
                in all elements and mesh groups by nodes 1 and 25 correspondingly
            NodesToKeep: nodes to keep in the mesh: a list of groups, sub-meshes or node IDs.
                If *NodesToKeep* does not include a node to keep for some group to merge,
                then the first node in the group is kept.
            AvoidMakingHoles: prevent merging nodes which cause removal of elements becoming
                invalid

        Note:
                This operation can create gaps in numeration of nodes or elements.
                Call :meth:`RenumberElements` to remove the gaps.
        """
        self.editor.MergeNodes( GroupsOfNodes, NodesToKeep, AvoidMakingHoles )

    def FindEqualElements (self, MeshOrSubMeshOrGroup=None, exceptElements=[]):
        """
        Find the elements built on the same nodes.

        Parameters:
            MeshOrSubMeshOrGroup: :class:`mesh, sub-meshes, groups or filters <SMESH.SMESH_IDSource>` or element IDs to check for equal elements
            exceptElements: list of either SubMeshes, Groups or elements IDs to exclude from search


        Returns:
            the list of groups of equal elements IDs (e.g. [[1,12,13],[4,25]])
        """

        unRegister = genObjUnRegister()
        if MeshOrSubMeshOrGroup is None:
            MeshOrSubMeshOrGroup = [ self.mesh ]
        elif isinstance( MeshOrSubMeshOrGroup, Mesh ):
            MeshOrSubMeshOrGroup = [ MeshOrSubMeshOrGroup.GetMesh() ]
        elif not isinstance( MeshOrSubMeshOrGroup, list ):
            MeshOrSubMeshOrGroup = [ MeshOrSubMeshOrGroup ]
        if isinstance( MeshOrSubMeshOrGroup[0], int ):
            MeshOrSubMeshOrGroup = [ self.GetIDSource( MeshOrSubMeshOrGroup, SMESH.ALL )]
            unRegister.set( MeshOrSubMeshOrGroup )
        for item in MeshOrSubMeshOrGroup:
            if isinstance( item, Mesh ):
                MeshOrSubMeshOrGroup = [ item.GetMesh() ]

        if not isinstance( exceptElements, list ):
            exceptElements = [ exceptElements ]
        if exceptElements and isinstance( exceptElements[0], int ):
            exceptElements = [ self.GetIDSource( exceptElements, SMESH.ALL )]
            unRegister.set( exceptElements )

        return self.editor.FindEqualElements( MeshOrSubMeshOrGroup, exceptElements )

    def MergeElements(self, GroupsOfElementsID, ElementsToKeep=[]):
        """
        Merge elements in each given group.

        Parameters:
            GroupsOfElementsID: a list of groups (lists) of elements IDs for merging
                (e.g. [[1,12,13],[25,4]] means that elements 12, 13 and 4 will be removed and
                replaced in all mesh groups by elements 1 and 25)
            ElementsToKeep: elements to keep in the mesh: a list of groups, sub-meshes or node IDs.
                If *ElementsToKeep* does not include an element to keep for some group to merge,
                then the first element in the group is kept.

        Note:
                This operation can create gaps in numeration of elements.
                Call :meth:`RenumberElements` to remove the gaps.
        """

        unRegister = genObjUnRegister()
        if ElementsToKeep:
            if not isinstance( ElementsToKeep, list ):
                ElementsToKeep = [ ElementsToKeep ]
            if isinstance( ElementsToKeep[0], int ):
                ElementsToKeep = [ self.GetIDSource( ElementsToKeep, SMESH.ALL )]
                unRegister.set( ElementsToKeep )

        self.editor.MergeElements( GroupsOfElementsID, ElementsToKeep )

    def MergeEqualElements(self):
        """
        Leave one element and remove all other elements built on the same nodes.

        Note:
                This operation can create gaps in numeration of elements.
                Call :meth:`RenumberElements` to remove the gaps.
        """

        self.editor.MergeEqualElements()

    def FindFreeBorders(self, ClosedOnly=True):
        """
        Returns all or only closed free borders

        Returns:
            list of SMESH.FreeBorder's
        """

        return self.editor.FindFreeBorders( ClosedOnly )

    def FillHole(self, holeNodes, groupName=""):
        """
        Fill with 2D elements a hole defined by a SMESH.FreeBorder.

        Parameters:
            holeNodes: either a SMESH.FreeBorder or a list on node IDs. These nodes
                must describe all sequential nodes of the hole border. The first and the last
                nodes must be the same. Use :meth:`FindFreeBorders` to get nodes of holes.
            groupName (string): name of a group to add new faces
        Returns:
            a :class:`group <SMESH.SMESH_GroupBase>` containing the new faces; or :code:`None` if `groupName` == ""
        """


        if holeNodes and isinstance( holeNodes, list ) and isinstance( holeNodes[0], int ):
            holeNodes = SMESH.FreeBorder(nodeIDs=holeNodes)
        if not isinstance( holeNodes, SMESH.FreeBorder ):
            raise TypeError("holeNodes must be either SMESH.FreeBorder or list of integer and not %s" % holeNodes)
        return self.editor.FillHole( holeNodes, groupName )

    def FindCoincidentFreeBorders (self, tolerance=0.):
        """
        Return groups of FreeBorder's coincident within the given tolerance.

        Parameters:
            tolerance: the tolerance. If the tolerance <= 0.0 then one tenth of an average
                size of elements adjacent to free borders being compared is used.

        Returns:
            SMESH.CoincidentFreeBorders structure
        """

        return self.editor.FindCoincidentFreeBorders( tolerance )

    def SewCoincidentFreeBorders (self, freeBorders, createPolygons=False, createPolyhedra=False):
        """
        Sew FreeBorder's of each group

        Parameters:
            freeBorders: either a SMESH.CoincidentFreeBorders structure or a list of lists
                where each enclosed list contains node IDs of a group of coincident free
                borders such that each consequent triple of IDs within a group describes
                a free border in a usual way: n1, n2, nLast - i.e. 1st node, 2nd node and
                last node of a border.
                For example [[1, 2, 10, 20, 21, 40], [11, 12, 15, 55, 54, 41]] describes two
                groups of coincident free borders, each group including two borders.
            createPolygons: if :code:`True` faces adjacent to free borders are converted to
                polygons if a node of opposite border falls on a face edge, else such
                faces are split into several ones.
            createPolyhedra: if :code:`True` volumes adjacent to free borders are converted to
                polyhedra if a node of opposite border falls on a volume edge, else such
                volumes, if any, remain intact and the mesh becomes non-conformal.

        Returns:
            a number of successfully sewed groups

        Note:
                This operation can create gaps in numeration of nodes or elements.
                Call :meth:`RenumberElements` to remove the gaps.
        """

        if freeBorders and isinstance( freeBorders, list ):
            # construct SMESH.CoincidentFreeBorders
            if isinstance( freeBorders[0], int ):
                freeBorders = [freeBorders]
            borders = []
            coincidentGroups = []
            for nodeList in freeBorders:
                if not nodeList or len( nodeList ) % 3:
                    raise ValueError("Wrong number of nodes in this group: %s" % nodeList)
                group = []
                while nodeList:
                    group.append  ( SMESH.FreeBorderPart( len(borders), 0, 1, 2 ))
                    borders.append( SMESH.FreeBorder( nodeList[:3] ))
                    nodeList = nodeList[3:]
                    pass
                coincidentGroups.append( group )
                pass
            freeBorders = SMESH.CoincidentFreeBorders( borders, coincidentGroups )

        return self.editor.SewCoincidentFreeBorders( freeBorders, createPolygons, createPolyhedra )

    def SewFreeBorders (self, FirstNodeID1, SecondNodeID1, LastNodeID1,
                        FirstNodeID2, SecondNodeID2, LastNodeID2,
                        CreatePolygons, CreatePolyedrs):
        """
        Sew free borders

        Returns:
            :class:`error code <SMESH.SMESH_MeshEditor.Sew_Error>`

        Note:
                This operation can create gaps in numeration of nodes or elements.
                Call :meth:`RenumberElements` to remove the gaps.
        """

        return self.editor.SewFreeBorders(FirstNodeID1, SecondNodeID1, LastNodeID1,
                                          FirstNodeID2, SecondNodeID2, LastNodeID2,
                                          CreatePolygons, CreatePolyedrs)

    def SewConformFreeBorders (self, FirstNodeID1, SecondNodeID1, LastNodeID1,
                               FirstNodeID2, SecondNodeID2):
        """
        Sew conform free borders

        Returns:
            :class:`error code <SMESH.SMESH_MeshEditor.Sew_Error>`

        Note:
                This operation can create gaps in numeration of elements.
                Call :meth:`RenumberElements` to remove the gaps.
        """

        return self.editor.SewConformFreeBorders(FirstNodeID1, SecondNodeID1, LastNodeID1,
                                                 FirstNodeID2, SecondNodeID2)

    def SewBorderToSide (self, FirstNodeIDOnFreeBorder, SecondNodeIDOnFreeBorder, LastNodeIDOnFreeBorder,
                         FirstNodeIDOnSide, LastNodeIDOnSide, CreatePolygons, CreatePolyedrs):
        """
        Sew border to side

        Returns:
            :class:`error code <SMESH.SMESH_MeshEditor.Sew_Error>`

        Note:
                This operation can create gaps in numeration of elements.
                Call :meth:`RenumberElements` to remove the gaps.
        """

        return self.editor.SewBorderToSide(FirstNodeIDOnFreeBorder, SecondNodeIDOnFreeBorder, LastNodeIDOnFreeBorder,
                                           FirstNodeIDOnSide, LastNodeIDOnSide, CreatePolygons, CreatePolyedrs)

    def SewSideElements (self, IDsOfSide1Elements, IDsOfSide2Elements,
                         NodeID1OfSide1ToMerge, NodeID1OfSide2ToMerge,
                         NodeID2OfSide1ToMerge, NodeID2OfSide2ToMerge):
        """
        Sew two sides of a mesh. The nodes belonging to Side1 are
        merged with the nodes of elements of Side2.
        The number of elements in theSide1 and in theSide2 must be
        equal and they should have similar nodal connectivity.
        The nodes to merge should belong to side borders and
        the first node should be linked to the second.

        Returns:
            :class:`error code <SMESH.SMESH_MeshEditor.Sew_Error>`

        Note:
                This operation can create gaps in numeration of nodes.
                Call :meth:`RenumberElements` to remove the gaps.
        """

        return self.editor.SewSideElements(IDsOfSide1Elements, IDsOfSide2Elements,
                                           NodeID1OfSide1ToMerge, NodeID1OfSide2ToMerge,
                                           NodeID2OfSide1ToMerge, NodeID2OfSide2ToMerge)

    def ChangeElemNodes(self, ide, newIDs):
        """
        Set new nodes for the given element. Number of nodes should be kept.

        Parameters:
            ide: the element ID
            newIDs: nodes IDs

        Returns:
            False if the number of nodes does not correspond to the type of element
        """

        return self.editor.ChangeElemNodes(ide, newIDs)

    def GetLastCreatedNodes(self):
        """
        If during the last operation of :class:`SMESH.SMESH_MeshEditor` some nodes were
        created, this method return the list of their IDs.
        If new nodes were not created - return empty list

        Returns:
            the list of integer values (can be empty)
        """

        return self.editor.GetLastCreatedNodes()

    def GetLastCreatedElems(self):
        """
        If during the last operation of :class:`SMESH.SMESH_MeshEditor` some elements were
        created this method return the list of their IDs.
        If new elements were not created - return empty list

        Returns:
            the list of integer values (can be empty)
        """

        return self.editor.GetLastCreatedElems()

    def ClearLastCreated(self):
        """
        Forget what nodes and elements were created by the last mesh edition operation
        """

        self.editor.ClearLastCreated()

    def DoubleElements(self, theElements, theGroupName=""):
        """
        Create duplicates of given elements, i.e. create new elements based on the
        same nodes as the given ones.

        Parameters:
            theElements: container of elements to duplicate. It can be a
                :class:`mesh, sub-mesh, group, filter <SMESH.SMESH_IDSource>` 
                or a list of element IDs. If *theElements* is
                a :class:`Mesh`, elements of highest dimension are duplicated
            theGroupName: a name of group to contain the generated elements.
                If a group with such a name already exists, the new elements
                are added to the existing group, else a new group is created.
                If *theGroupName* is empty, new elements are not added
                in any group.

        Returns:
                a :class:`group <SMESH.SMESH_Group>` where the new elements are added. 
                None if *theGroupName* == "".
        """

        unRegister = genObjUnRegister()
        if isinstance( theElements, Mesh ):
            theElements = theElements.mesh
        elif isinstance( theElements, list ):
            theElements = self.GetIDSource( theElements, SMESH.ALL )
            unRegister.set( theElements )
        return self.editor.DoubleElements(theElements, theGroupName)

    def DoubleNodes(self, theNodes, theModifiedElems):
        """
        Create a hole in a mesh by doubling the nodes of some particular elements

        Parameters:
            theNodes: IDs of nodes to be doubled
            theModifiedElems: IDs of elements to be updated by the new (doubled)
                nodes. If list of element identifiers is empty then nodes are doubled but
                they not assigned to elements

        Returns:
            True if operation has been completed successfully, False otherwise
        """

        return self.editor.DoubleNodes(theNodes, theModifiedElems)

    def DoubleNode(self, theNodeId, theModifiedElems):
        """
        Create a hole in a mesh by doubling the nodes of some particular elements.
        This method provided for convenience works as :meth:`DoubleNodes`.

        Parameters:
            theNodeId: IDs of node to double
            theModifiedElems: IDs of elements to update

        Returns:
            True if operation has been completed successfully, False otherwise
        """

        return self.editor.DoubleNode(theNodeId, theModifiedElems)

    def DoubleNodeGroup(self, theNodes, theModifiedElems, theMakeGroup=False):
        """
        Create a hole in a mesh by doubling the nodes of some particular elements.
        This method provided for convenience works as :meth:`DoubleNodes`.

        Parameters:
            theNodes: group of nodes to double.
            theModifiedElems: group of elements to update.
            theMakeGroup: forces the generation of a group containing new nodes.

        Returns:
            True or a created group if operation has been completed successfully,
            False or None otherwise
        """

        if theMakeGroup:
            return self.editor.DoubleNodeGroupNew(theNodes, theModifiedElems)
        return self.editor.DoubleNodeGroup(theNodes, theModifiedElems)

    def DoubleNodeGroups(self, theNodes, theModifiedElems, theMakeGroup=False):
        """
        Create a hole in a mesh by doubling the nodes of some particular elements.
        This method provided for convenience works as :meth:`DoubleNodes`.

        Parameters:
            theNodes: list of groups of nodes to double.
            theModifiedElems: list of groups of elements to update.
            theMakeGroup: forces the generation of a group containing new nodes.

        Returns:
            True if operation has been completed successfully, False otherwise
        """

        if theMakeGroup:
            return self.editor.DoubleNodeGroupsNew(theNodes, theModifiedElems)
        return self.editor.DoubleNodeGroups(theNodes, theModifiedElems)

    def DoubleNodeElem(self, theElems, theNodesNot, theAffectedElems):
        """
        Create a hole in a mesh by doubling the nodes of some particular elements

        Parameters:
            theElems: the list of elements (edges or faces) to replicate.
                The nodes for duplication could be found from these elements
            theNodesNot: list of nodes NOT to replicate
            theAffectedElems: the list of elements (cells and edges) to which the
                replicated nodes should be associated to

        Returns:
            True if operation has been completed successfully, False otherwise
        """

        return self.editor.DoubleNodeElem(theElems, theNodesNot, theAffectedElems)

    def DoubleNodeElemInRegion(self, theElems, theNodesNot, theShape):
        """
        Create a hole in a mesh by doubling the nodes of some particular elements

        Parameters:
            theElems: the list of elements (edges or faces) to replicate.
                The nodes for duplication could be found from these elements
            theNodesNot: list of nodes NOT to replicate
            theShape: shape to detect affected elements (element which geometric center
                located on or inside shape).
                The replicated nodes should be associated to affected elements.

        Returns:
            True if operation has been completed successfully, False otherwise
        """

        return self.editor.DoubleNodeElemInRegion(theElems, theNodesNot, theShape)

    def DoubleNodeElemGroup(self, theElems, theNodesNot, theAffectedElems,
                             theMakeGroup=False, theMakeNodeGroup=False):
        """
        Create a hole in a mesh by doubling the nodes of some particular elements.
        This method provided for convenience works as :meth:`DoubleNodes`.

        Parameters:
            theElems: group of of elements (edges or faces) to replicate.
            theNodesNot: group of nodes NOT to replicate.
            theAffectedElems: group of elements to which the replicated nodes
                should be associated to.
            theMakeGroup: forces the generation of a group containing new elements.
            theMakeNodeGroup: forces the generation of a group containing new nodes.

        Returns:
            True or created groups (one or two) if operation has been completed successfully,
            False or None otherwise
        """

        if theMakeGroup or theMakeNodeGroup:
            twoGroups = self.editor.DoubleNodeElemGroup2New(theElems, theNodesNot,
                                                            theAffectedElems,
                                                            theMakeGroup, theMakeNodeGroup)
            if theMakeGroup and theMakeNodeGroup:
                return twoGroups
            else:
                return twoGroups[ int(theMakeNodeGroup) ]
        return self.editor.DoubleNodeElemGroup(theElems, theNodesNot, theAffectedElems)

    def DoubleNodeElemGroupInRegion(self, theElems, theNodesNot, theShape):
        """
        Create a hole in a mesh by doubling the nodes of some particular elements.
        This method provided for convenience works as :meth:`DoubleNodes`.

        Parameters:
            theElems: group of of elements (edges or faces) to replicate
            theNodesNot: group of nodes not to replicate
            theShape: shape to detect affected elements (element which geometric center
                located on or inside shape).
                The replicated nodes should be associated to affected elements
        """

        return self.editor.DoubleNodeElemGroupInRegion(theElems, theNodesNot, theShape)

    def DoubleNodeElemGroups(self, theElems, theNodesNot, theAffectedElems,
                             theMakeGroup=False, theMakeNodeGroup=False):
        """
        Create a hole in a mesh by doubling the nodes of some particular elements.
        This method provided for convenience works as :meth:`DoubleNodes`.

        Parameters:
            theElems: list of groups of elements (edges or faces) to replicate
            theNodesNot: list of groups of nodes NOT to replicate
            theAffectedElems: group of elements to which the replicated nodes
                should be associated to
            theMakeGroup: forces generation of a group containing new elements.
            theMakeNodeGroup: forces generation of a group containing new nodes

        Returns:
            True or created groups (one or two) if operation has been completed successfully,
            False or None otherwise
        """

        if theMakeGroup or theMakeNodeGroup:
            twoGroups = self.editor.DoubleNodeElemGroups2New(theElems, theNodesNot,
                                                             theAffectedElems,
                                                             theMakeGroup, theMakeNodeGroup)
            if theMakeGroup and theMakeNodeGroup:
                return twoGroups
            else:
                return twoGroups[ int(theMakeNodeGroup) ]
        return self.editor.DoubleNodeElemGroups(theElems, theNodesNot, theAffectedElems)

    def DoubleNodeElemGroupsInRegion(self, theElems, theNodesNot, theShape):
        """
        Create a hole in a mesh by doubling the nodes of some particular elements.
        This method provided for convenience works as :meth:`DoubleNodes`.

        Parameters:
            theElems: list of groups of elements (edges or faces) to replicate
            theNodesNot: list of groups of nodes NOT to replicate
            theShape: shape to detect affected elements (element which geometric center
                located on or inside shape).
                The replicated nodes should be associated to affected elements

        Returns:
            True if operation has been completed successfully, False otherwise
        """

        return self.editor.DoubleNodeElemGroupsInRegion(theElems, theNodesNot, theShape)

    def AffectedElemGroupsInRegion(self, theElems, theNodesNot, theShape):
        """
        Identify the elements that will be affected by node duplication (actual duplication is not performed).
        This method is the first step of :meth:`DoubleNodeElemGroupsInRegion`.

        Parameters:
            theElems: list of groups of nodes or elements (edges or faces) to replicate
            theNodesNot: list of groups of nodes NOT to replicate
            theShape: shape to detect affected elements (element which geometric center
                located on or inside shape).
                The replicated nodes should be associated to affected elements

        Returns:
            groups of affected elements in order: volumes, faces, edges
        """

        return self.editor.AffectedElemGroupsInRegion(theElems, theNodesNot, theShape)

    def DoubleNodesOnGroupBoundaries(self, theDomains, createJointElems, onAllBoundaries=False ):

        """
        Double nodes on shared faces between groups of volumes and create flat elements on demand.
        The list of groups must describe a partition of the mesh volumes.
        The nodes of the internal faces at the boundaries of the groups are doubled.
        In option, the internal faces are replaced by flat elements.
        Triangles are transformed to prisms, and quadrangles to hexahedrons.

        Parameters:
            theDomains: list of groups of volumes
            createJointElems: if True, create the elements
            onAllBoundaries: if True, the nodes and elements are also created on
                the boundary between *theDomains* and the rest mesh

        Returns:
            True if operation has been completed successfully, False otherwise
        """

        return self.editor.DoubleNodesOnGroupBoundaries( theDomains, createJointElems, onAllBoundaries )

    def CreateFlatElementsOnFacesGroups(self, theGroupsOfFaces ):
        """
        Double nodes on some external faces and create flat elements.
        Flat elements are mainly used by some types of mechanic calculations.

        Each group of the list must be constituted of faces.
        Triangles are transformed in prisms, and quadrangles in hexahedrons.

        Parameters:
            theGroupsOfFaces: list of groups of faces

        Returns:
            True if operation has been completed successfully, False otherwise
        """

        return self.editor.CreateFlatElementsOnFacesGroups( theGroupsOfFaces )

    def CreateHoleSkin(self, radius, theShape, groupName, theNodesCoords):
        """
        Identify all the elements around a geom shape, get the faces delimiting the hole
        """
        return self.editor.CreateHoleSkin( radius, theShape, groupName, theNodesCoords )

    def MakePolyLine(self, segments, groupName='', isPreview=False ):
        """    
        Create a polyline consisting of 1D mesh elements each lying on a 2D element of
        the initial triangle mesh. Positions of new nodes are found by cutting the mesh by the
        plane passing through pairs of points specified by each :class:`SMESH.PolySegment` structure.
        If there are several paths connecting a pair of points, the shortest path is
        selected by the module. Position of the cutting plane is defined by the two
        points and an optional vector lying on the plane specified by a PolySegment.
        By default the vector is defined by Mesh module as following. A middle point
        of the two given points is computed. The middle point is projected to the mesh.
        The vector goes from the middle point to the projection point. In case of planar
        mesh, the vector is normal to the mesh.

        In preview mode, *segments* [i].vector returns the used vector which goes from the middle point to its projection.

        Parameters:
            segments: list of :class:`SMESH.PolySegment` defining positions of cutting planes.
            groupName: optional name of a group where created mesh segments will be added.

        """    
        editor = self.editor
        if isPreview:
            editor = self.mesh.GetMeshEditPreviewer()
        segmentsRes = editor.MakePolyLine( segments, groupName )
        for i, seg in enumerate( segmentsRes ):
            segments[i].vector = seg.vector
        if isPreview:
            return editor.GetPreviewData()
        return None

    def MakeSlot(self, segmentGroup, width ):
        """
        Create a slot of given width around given 1D elements lying on a triangle mesh.
        The slot is constructed by cutting faces by cylindrical surfaces made
        around each segment. Segments are expected to be created by MakePolyLine().

        Returns:
               FaceEdge's located at the slot boundary
        """
        return self.editor.MakeSlot( segmentGroup, width )

    def GetFunctor(self, funcType ):
        """
        Return a cached numerical functor by its type.

        Parameters:
            funcType: functor type: an item of :class:`SMESH.FunctorType` enumeration.
                Note that not all items correspond to numerical functors.

        Returns:
            :class:`SMESH.NumericalFunctor`. The functor is already initialized with a mesh
        """

        fn = self.functors[ funcType._v ]
        if not fn:
            fn = self.smeshpyD.GetFunctor(funcType)
            fn.SetMesh(self.mesh)
            self.functors[ funcType._v ] = fn
        return fn

    def FunctorValue(self, funcType, elemId, isElem=True):
        """
        Return value of a functor for a given element

        Parameters:
            funcType: an item of :class:`SMESH.FunctorType` enum.
            elemId: element or node ID
            isElem: *elemId* is ID of element or node

        Returns:
            the functor value or zero in case of invalid arguments
        """

        fn = self.GetFunctor( funcType )
        if fn.GetElementType() == self.GetElementType(elemId, isElem):
            val = fn.GetValue(elemId)
        else:
            val = 0
        return val

    def GetLength(self, elemId=None):
        """
        Get length of given 1D elements or of all 1D mesh elements

        Parameters:
            elemId: either a mesh element ID or a list of IDs or :class:`sub-mesh, group or filter <SMESH.SMESH_IDSource>`. By default sum length of all 1D elements will be calculated.

        Returns:
            Sum of lengths of given elements
        """

        length = 0
        if elemId == None:
            length = self.smeshpyD.GetLength(self)
        elif isinstance(elemId, SMESH._objref_SMESH_IDSource):
            length = self.smeshpyD.GetLength(elemId)
        elif elemId == []:
            length = 0
        elif isinstance(elemId, list) and isinstance(elemId[0], SMESH._objref_SMESH_IDSource):
            for obj in elemId:
                length += self.smeshpyD.GetLength(obj)
        elif isinstance(elemId, list) and isinstance(elemId[0], int):
            unRegister = genObjUnRegister()
            obj = self.GetIDSource( elemId )
            unRegister.set( obj )
            length = self.smeshpyD.GetLength( obj )
        else:
            length = self.FunctorValue(SMESH.FT_Length, elemId)
        return length

    def GetArea(self, elemId=None):
        """
        Get area of given 2D elements or of all 2D mesh elements

        Parameters:
            elemId: either a mesh element ID or a list of IDs or :class:`sub-mesh, group or filter <SMESH.SMESH_IDSource>`. By default sum area of all 2D elements will be calculated.

        Returns:
            Area of given element's if *elemId* is specified or sum of all 2D mesh elements' areas otherwise
        """

        area = 0
        if elemId == None:
            area = self.smeshpyD.GetArea(self)
        elif isinstance(elemId, SMESH._objref_SMESH_IDSource):
            area = self.smeshpyD.GetArea(elemId)
        elif elemId == []:
            area = 0
        elif isinstance(elemId, list) and isinstance(elemId[0], SMESH._objref_SMESH_IDSource):
            for obj in elemId:
                area += self.smeshpyD.GetArea(obj)
        elif isinstance(elemId, list) and isinstance(elemId[0], int):
            unRegister = genObjUnRegister()
            obj = self.GetIDSource( elemId )
            unRegister.set( obj )
            area = self.smeshpyD.GetArea( obj )
        else:
            area = self.FunctorValue(SMESH.FT_Area, elemId)
        return area

    def GetVolume(self, elemId=None):
        """
        Get volume of given 3D elements or of all 3D mesh elements

        Parameters:
            elemId: either a mesh element ID or a list of IDs or :class:`sub-mesh, group or filter <SMESH.SMESH_IDSource>`. By default sum volume of all 3D elements will be calculated.

        Returns:
            Sum element's volume value if *elemId* is specified or sum of all 3D mesh elements' volumes otherwise
        """

        volume = 0
        if elemId == None:
            volume= self.smeshpyD.GetVolume(self)
        elif isinstance(elemId, SMESH._objref_SMESH_IDSource):
            volume= self.smeshpyD.GetVolume(elemId)
        elif elemId == []:
            volume = 0
        elif isinstance(elemId, list) and isinstance(elemId[0], SMESH._objref_SMESH_IDSource):
            for obj in elemId:
                volume+= self.smeshpyD.GetVolume(obj)
        elif isinstance(elemId, list) and isinstance(elemId[0], int):
            unRegister = genObjUnRegister()
            obj = self.GetIDSource( elemId )
            unRegister.set( obj )
            volume= self.smeshpyD.GetVolume( obj )
        else:
            volume = self.FunctorValue(SMESH.FT_Volume3D, elemId)
        return volume

    def GetAngle(self, node1, node2, node3 ):
        """
        Computes a radian measure of an angle defined by 3 nodes: <(node1,node2,node3)

        Parameters:            
                node1,node2,node3: IDs of the three nodes

        Returns:        
            Angle in radians [0,PI]. -1 if failure case.
        """
        p1 = self.GetNodeXYZ( node1 )
        p2 = self.GetNodeXYZ( node2 )
        p3 = self.GetNodeXYZ( node3 )
        if p1 and p2 and p3:
            return self.smeshpyD.GetAngle( p1,p2,p3 )
        return -1.


    def GetMaxElementLength(self, elemId):
        """
        Get maximum element length.

        Parameters:
            elemId: mesh element ID

        Returns:
            element's maximum length value
        """

        if self.GetElementType(elemId, True) == SMESH.VOLUME:
            ftype = SMESH.FT_MaxElementLength3D
        else:
            ftype = SMESH.FT_MaxElementLength2D
        return self.FunctorValue(ftype, elemId)

    def GetAspectRatio(self, elemId):
        """
        Get aspect ratio of 2D or 3D element.

        Parameters:
            elemId: mesh element ID

        Returns:
            element's aspect ratio value
        """

        if self.GetElementType(elemId, True) == SMESH.VOLUME:
            ftype = SMESH.FT_AspectRatio3D
        else:
            ftype = SMESH.FT_AspectRatio
        return self.FunctorValue(ftype, elemId)

    def GetWarping(self, elemId):
        """
        Get warping angle of 2D element.

        Parameters:
            elemId: mesh element ID

        Returns:
            element's warping angle value
        """

        return self.FunctorValue(SMESH.FT_Warping, elemId)

    def GetMinimumAngle(self, elemId):
        """
        Get minimum angle of 2D element.

        Parameters:
            elemId: mesh element ID

        Returns:
            element's minimum angle value
        """

        return self.FunctorValue(SMESH.FT_MinimumAngle, elemId)

    def GetTaper(self, elemId):
        """
        Get taper of 2D element.

        Parameters:
            elemId: mesh element ID

        Returns:
            element's taper value
        """

        return self.FunctorValue(SMESH.FT_Taper, elemId)

    def GetSkew(self, elemId):
        """
        Get skew of 2D element.

        Parameters:
            elemId: mesh element ID

        Returns:
            element's skew value
        """

        return self.FunctorValue(SMESH.FT_Skew, elemId)

    def GetMinMax(self, funType, meshPart=None):
        """
        Return minimal and maximal value of a given functor.

        Parameters:
            funType (SMESH.FunctorType): a functor type.
                  Note that not all items of :class:`SMESH.FunctorType` corresponds
                  to numerical functors.
            meshPart: a part of mesh (:class:`sub-mesh, group or filter <SMESH.SMESH_IDSource>`) to treat

        Returns:
            tuple (min,max)
        """

        unRegister = genObjUnRegister()
        if isinstance( meshPart, list ):
            meshPart = self.GetIDSource( meshPart, SMESH.ALL )
            unRegister.set( meshPart )
        if isinstance( meshPart, Mesh ):
            meshPart = meshPart.mesh
        fun = self.GetFunctor( funType )
        if fun:
            if meshPart:
                if hasattr( meshPart, "SetMesh" ):
                    meshPart.SetMesh( self.mesh ) # set mesh to filter
                hist = fun.GetLocalHistogram( 1, False, meshPart )
            else:
                hist = fun.GetHistogram( 1, False )
            if hist:
                return hist[0].min, hist[0].max
        return None

    pass # end of Mesh class


class meshProxy(SMESH._objref_SMESH_Mesh):
    """
    Private class used to compensate change of CORBA API of SMESH_Mesh for backward compatibility
    with old dump scripts which call SMESH_Mesh directly and not via smeshBuilder.Mesh
    """
    def __init__(self,*args):
        SMESH._objref_SMESH_Mesh.__init__(self,*args)
    def __deepcopy__(self, memo=None):
        new = self.__class__(self)
        return new
    def CreateDimGroup(self,*args): # 2 args added: nbCommonNodes, underlyingOnly
        if len( args ) == 3:
            args += SMESH.ALL_NODES, True
        return SMESH._objref_SMESH_Mesh.CreateDimGroup(self, *args)
    def ExportToMEDX(self, *args): # function removed
        print("WARNING: ExportToMEDX() is deprecated, use ExportMED() instead")
        #args = [i for i in args if i not in [SMESH.MED_V2_1, SMESH.MED_V2_2]]
        SMESH._objref_SMESH_Mesh.ExportMED(self, *args)
    def ExportToMED(self, *args): # function removed
        print("WARNING: ExportToMED() is deprecated, use ExportMED() instead")
        #args = [i for i in args if i not in [SMESH.MED_V2_1, SMESH.MED_V2_2]]
        args2 = list(args)
        while len(args2) < 5:  # !!!! nb of parameters for ExportToMED IDL's method
            args2.append(True)
        SMESH._objref_SMESH_Mesh.ExportMED(self, *args2)
    def ExportPartToMED(self, *args): # 'version' parameter removed
        #args = [i for i in args if i not in [SMESH.MED_V2_1, SMESH.MED_V2_2]]
        SMESH._objref_SMESH_Mesh.ExportPartToMED(self, *args)
    def ExportMED(self, *args): # signature of method changed
        #args = [i for i in args if i not in [SMESH.MED_V2_1, SMESH.MED_V2_2]]
        args2 = list(args)
        while len(args2) < 5:  # !!!! nb of parameters for ExportToMED IDL's method
            args2.append(True)
        SMESH._objref_SMESH_Mesh.ExportMED(self, *args2)
    pass
omniORB.registerObjref(SMESH._objref_SMESH_Mesh._NP_RepositoryId, meshProxy)


class submeshProxy(SMESH._objref_SMESH_subMesh):

    """
    Private class wrapping SMESH.SMESH_SubMesh in order to add Compute()
    """
    def __init__(self,*args):
        SMESH._objref_SMESH_subMesh.__init__(self,*args)
        self.mesh = None
    def __deepcopy__(self, memo=None):
        new = self.__class__(self)
        return new

    def Compute(self,refresh=False):
        """
        Compute the sub-mesh and return the status of the computation

        Parameters:
            refresh: if *True*, Object Browser is automatically updated (when running in GUI)

        Returns:
            True or False

        This is a method of SMESH.SMESH_submesh that can be obtained via Mesh.GetSubMesh() or
        :meth:`smeshBuilder.Mesh.GetSubMesh`.
        """

        if not self.mesh:
            self.mesh = Mesh( smeshBuilder(), None, self.GetMesh())

        ok = self.mesh.Compute( self.GetSubShape(),refresh=[] )

        if salome.sg.hasDesktop():
            if refresh: salome.sg.updateObjBrowser()
            pass

        return ok
    pass
omniORB.registerObjref(SMESH._objref_SMESH_subMesh._NP_RepositoryId, submeshProxy)


class meshEditor(SMESH._objref_SMESH_MeshEditor):
    """
    Private class used to compensate change of CORBA API of SMESH_MeshEditor for backward
    compatibility with old dump scripts which call SMESH_MeshEditor directly and not via
    smeshBuilder.Mesh
    """
    def __init__(self,*args):
        SMESH._objref_SMESH_MeshEditor.__init__( self, *args)
        self.mesh = None
    def __getattr__(self, name ): # method called if an attribute not found
        if not self.mesh:         # look for name() method in Mesh class
            self.mesh = Mesh( None, None, SMESH._objref_SMESH_MeshEditor.GetMesh(self))
        if hasattr( self.mesh, name ):
            return getattr( self.mesh, name )
        if name == "ExtrusionAlongPathObjX":
            return getattr( self.mesh, "ExtrusionAlongPathX" ) # other method name
        print("meshEditor: attribute '%s' NOT FOUND" % name)
        return None
    def __deepcopy__(self, memo=None):
        new = self.__class__(self)
        return new
    def FindCoincidentNodes(self,*args): # a 2nd arg added (SeparateCornerAndMediumNodes)
        if len( args ) == 1: args += False,
        return SMESH._objref_SMESH_MeshEditor.FindCoincidentNodes( self, *args )
    def FindCoincidentNodesOnPart(self,*args): # a 3d arg added (SeparateCornerAndMediumNodes)
        if len( args ) == 2: args += False,
        return SMESH._objref_SMESH_MeshEditor.FindCoincidentNodesOnPart( self, *args )
    def MergeNodes(self,*args): # 2 args added (NodesToKeep,AvoidMakingHoles)
        if len( args ) == 1:
            return SMESH._objref_SMESH_MeshEditor.MergeNodes( self, args[0], [], False )
        NodesToKeep = args[1]
        AvoidMakingHoles = args[2] if len( args ) == 3 else False
        unRegister  = genObjUnRegister()
        if NodesToKeep:
            if isinstance( NodesToKeep, list ) and isinstance( NodesToKeep[0], int ):
                NodesToKeep = self.MakeIDSource( NodesToKeep, SMESH.NODE )
            if not isinstance( NodesToKeep, list ):
                NodesToKeep = [ NodesToKeep ]
        return SMESH._objref_SMESH_MeshEditor.MergeNodes( self, args[0], NodesToKeep, AvoidMakingHoles )
    pass
omniORB.registerObjref(SMESH._objref_SMESH_MeshEditor._NP_RepositoryId, meshEditor)

class Pattern(SMESH._objref_SMESH_Pattern):
    """
    Private class wrapping SMESH.SMESH_Pattern CORBA class in order to treat Notebook
    variables in some methods
    """

    def LoadFromFile(self, patternTextOrFile ):
        text = patternTextOrFile
        if os.path.exists( text ):
            text = open( patternTextOrFile ).read()
            pass
        return SMESH._objref_SMESH_Pattern.LoadFromFile( self, text )

    def ApplyToMeshFaces(self, theMesh, theFacesIDs, theNodeIndexOnKeyPoint1, theReverse):
        decrFun = lambda i: i-1
        theNodeIndexOnKeyPoint1,Parameters,hasVars = ParseParameters(theNodeIndexOnKeyPoint1, decrFun)
        theMesh.SetParameters(Parameters)
        return SMESH._objref_SMESH_Pattern.ApplyToMeshFaces( self, theMesh, theFacesIDs, theNodeIndexOnKeyPoint1, theReverse )

    def ApplyToHexahedrons(self, theMesh, theVolumesIDs, theNode000Index, theNode001Index):
        decrFun = lambda i: i-1
        theNode000Index,theNode001Index,Parameters,hasVars = ParseParameters(theNode000Index,theNode001Index, decrFun)
        theMesh.SetParameters(Parameters)
        return SMESH._objref_SMESH_Pattern.ApplyToHexahedrons( self, theMesh, theVolumesIDs, theNode000Index, theNode001Index )

    def MakeMesh(self, mesh, CreatePolygons=False, CreatePolyhedra=False):
        if isinstance( mesh, Mesh ):
            mesh = mesh.GetMesh()
        return SMESH._objref_SMESH_Pattern.MakeMesh( self, mesh, CreatePolygons, CreatePolyhedra )

omniORB.registerObjref(SMESH._objref_SMESH_Pattern._NP_RepositoryId, Pattern)
"""
Registering the new proxy for Pattern
"""

class algoCreator:
    """
    Private class used to bind methods creating algorithms to the class Mesh
    """

    def __init__(self, method):
        self.mesh = None
        self.defaultAlgoType = ""
        self.algoTypeToClass = {}
        self.method = method

    def add(self, algoClass):
        """
        Store a python class of algorithm
        """
        if inspect.isclass(algoClass) and \
           hasattr( algoClass, "algoType"):
            self.algoTypeToClass[ algoClass.algoType ] = algoClass
            if not self.defaultAlgoType and \
               hasattr( algoClass, "isDefault") and algoClass.isDefault:
                self.defaultAlgoType = algoClass.algoType
            #print("Add",algoClass.algoType, "dflt",self.defaultAlgoType)

    def copy(self, mesh):
        """
        Create a copy of self and assign mesh to the copy
        """

        other = algoCreator( self.method )
        other.defaultAlgoType = self.defaultAlgoType
        other.algoTypeToClass = self.algoTypeToClass
        other.mesh = mesh
        return other

    def __call__(self,algo="",geom=0,*args):
        """
        Create an instance of algorithm
        """
        algoType = ""
        shape = 0
        if isinstance( algo, str ):
            algoType = algo
        elif ( isinstance( algo, geomBuilder.GEOM._objref_GEOM_Object ) and \
               not isinstance( geom, geomBuilder.GEOM._objref_GEOM_Object )):
            shape = algo
        elif algo:
            args += (algo,)

        if isinstance( geom, geomBuilder.GEOM._objref_GEOM_Object ):
            shape = geom
        elif not algoType and isinstance( geom, str ):
            algoType = geom
        elif geom:
            args += (geom,)
        for arg in args:
            if isinstance( arg, geomBuilder.GEOM._objref_GEOM_Object ) and not shape:
                shape = arg
            elif isinstance( arg, str ) and not algoType:
                algoType = arg
            else:
                import traceback, sys
                msg = "Warning. Unexpected argument in mesh.%s() --->  %s" % ( self.method, arg )
                sys.stderr.write( msg + '\n' )
                tb = traceback.extract_stack(None,2)
                traceback.print_list( [tb[0]] )
        if not algoType:
            algoType = self.defaultAlgoType
        if not algoType and self.algoTypeToClass:
            algoType = sorted( self.algoTypeToClass.keys() )[0]
        if algoType in self.algoTypeToClass:
            #print("Create algo",algoType)
            return self.algoTypeToClass[ algoType ]( self.mesh, shape )
        raise RuntimeError( "No class found for algo type %s" % algoType)
        return None

class hypMethodWrapper:
    """
    Private class used to substitute and store variable parameters of hypotheses.
    """

    def __init__(self, hyp, method):
        self.hyp    = hyp
        self.method = method
        #print("REBIND:", method.__name__)
        return

    def __call__(self,*args):
        """
        call a method of hypothesis with calling SetVarParameter() before
        """

        if not args:
            return self.method( self.hyp, *args ) # hypothesis method with no args

        #print("MethWrapper.__call__", self.method.__name__, args)
        try:
            parsed = ParseParameters(*args)     # replace variables with their values
            self.hyp.SetVarParameter( parsed[-2], self.method.__name__ )
            result = self.method( self.hyp, *parsed[:-2] ) # call hypothesis method
        except omniORB.CORBA.BAD_PARAM: # raised by hypothesis method call
            # maybe there is a replaced string arg which is not variable
            result = self.method( self.hyp, *args )
        except ValueError as detail: # raised by ParseParameters()
            try:
                result = self.method( self.hyp, *args )
            except omniORB.CORBA.BAD_PARAM:
                raise ValueError(detail) # wrong variable name

        return result
    pass

class genObjUnRegister:
    """
    A helper class that calls UnRegister() of SALOME.GenericObj'es stored in it
    """

    def __init__(self, genObj=None):
        self.genObjList = []
        self.set( genObj )
        return

    def set(self, genObj):
        "Store one or a list of of SALOME.GenericObj'es"
        if isinstance( genObj, list ):
            self.genObjList.extend( genObj )
        else:
            self.genObjList.append( genObj )
        return

    def __del__(self):
        for genObj in self.genObjList:
            if genObj and hasattr( genObj, "UnRegister" ):
                genObj.UnRegister()

for pluginName in os.environ[ "SMESH_MeshersList" ].split( os.pathsep ):
    """
    Bind methods creating mesher plug-ins to the Mesh class
    """

    # print("pluginName: ", pluginName)
    pluginBuilderName = pluginName + "Builder"
    try:
        exec( "from salome.%s.%s import *" % (pluginName, pluginBuilderName))
    except Exception as e:
        from salome_utils import verbose
        if verbose(): print("Exception while loading %s: %s" % ( pluginBuilderName, e ))
        continue
    exec( "from salome.%s import %s" % (pluginName, pluginBuilderName))
    plugin = eval( pluginBuilderName )
    # print("  plugin:" , str(plugin))

    # add methods creating algorithms to Mesh
    for k in dir( plugin ):
        if k[0] == '_': continue
        algo = getattr( plugin, k )
        #print("             algo:", str(algo))
        if inspect.isclass(algo) and hasattr(algo, "meshMethod"):
            #print("                     meshMethod:" , str(algo.meshMethod))
            if not hasattr( Mesh, algo.meshMethod ):
                setattr( Mesh, algo.meshMethod, algoCreator( algo.meshMethod ))
                pass
            _mmethod = getattr( Mesh, algo.meshMethod )
            if hasattr(  _mmethod, "add" ):
                _mmethod.add(algo)
            pass
        pass
    pass
del pluginName