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Boolean Overlap constructs a shape that covers the space occupied by no less than 'OverlapIndex' shapes. 'OverlapIndex' is a property that can be modified. Value of 1 gives the result equivalent to Part Fuse. Value equal to number of shapes makes the tool equivalent to Part Common. Default value is 2, meaning the result will fill space where there is any overlap.

Requires FreeCAD v0.17+ built against OCC no less than 6.9.0 (tested on 7.0.0).

Installation

Download MacroOverlap.py and save it in macro directory:

https://github.com/DeepSOIC/FreeCAD-Macros/raw/master/Overlap/MacroOverlap.py

How to use

1. Select three* or more shapes to compute overlap between. You can also select a single compound containing the argument shapes.
2. In FreeCAD menu: Macro → Macros... → double-click MacroOverlap.py . A new object will be created.
3. Select the new object, and modify 'Overlap Index' property in property editor (Data tab), if necessary.

* two shapes will do, too, but the action of tool will be equivalent to either Part Common or Part Fuse, and so it is recommended to use Part tools instead.

Script

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MacroOverlap.py

#***************************************************************************
#*                                                                         *
#*   Copyright (c) 2016 - Victor Titov (DeepSOIC)                          *
#*                                               <vv.titov@gmail.com>      *  
#*                                                                         *
#*   This program is free software; you can redistribute it and/or modify  *
#*   it under the terms of the GNU Lesser General Public License (LGPL)    *
#*   as published by the Free Software Foundation; either version 2 of     *
#*   the License, or (at your option) any later version.                   *
#*   for detail see the LICENCE text file.                                 *
#*                                                                         *
#*   This program 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 Library General Public License for more details.                  *
#*                                                                         *
#*   You should have received a copy of the GNU Library General Public     *
#*   License along with this program; if not, write to the Free Software   *
#*   Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA  02111-1307  *
#*   USA                                                                   *
#*                                                                         *
#***************************************************************************

__Title__ = "Macro Overlap"
__Author__ = "DeepSOIC"
__Version__ = "0.2"
__Date__    = "31/08/2018"

__Comment__ = "Extension of Part Common boolean operation"
__Web__ = "https://forum.freecad.org/viewtopic.php?f=8&t=17755"
__Wiki__ = "https://wiki.freecad.org/index.php?title=Macro_Boolean_Overlap"
__Status__ = "experimental"
__Requires__ = "freecad 0.17.8053 with OCC 6.9.0+"
__Communication__ = "https://wiki.freecad.org/index.php?title=User:DeepSOIC" 
__Help__ = '''
Macro Overlap.
Requires FreeCAD v0.17.8053+ and OCC 6.9.0+

Instructions:
Select three or more shapes to compute Overlap between. A single compound will do, too.
Then, run this macro. Parametric Overlap object is created.
'''

if __name__ == "__main__": #being run as a macro
    import MacroOverlap
    MacroOverlap.run()

import FreeCAD as App
if App.GuiUp:
    import FreeCADGui as Gui
import Part

def makeOverlapFeature():
    '''makeOverlapFeature(): makes a Overlap parametric feature object. Returns the new object.'''
    selfobj = App.ActiveDocument.addObject("Part::FeaturePython","Overlap")
    Overlap(selfobj)
    ViewProviderOverlap(selfobj.ViewObject)
    return selfobj

class Overlap:
    "The Overlap feature object"
    def __init__(self,selfobj):
        selfobj.addProperty("App::PropertyLinkList","Objects","Overlap","Input shape")
        selfobj.addProperty("App::PropertyInteger", "OverlapIndex", "Overlap", "minimum overlap order to output")
        selfobj.OverlapIndex = 2
        selfobj.Proxy = self

    def execute(self,selfobj):
        import BOPTools
        import BOPTools.Utils as Utils
        from BOPTools.GeneralFuseResult import GeneralFuseResult
        
        list_of_shapes = [obj.Shape for obj in selfobj.Objects]
        if len(list_of_shapes) == 1 and list_of_shapes[0].ShapeType == "Compound":
            list_of_shapes = list_of_shapes[0].childShapes()

        list_of_shapes = Utils.upgradeToAggregateIfNeeded(list_of_shapes)
        pieces, map = list_of_shapes[0].generalFuse(list_of_shapes[1:])
        gr = GeneralFuseResult(list_of_shapes, (pieces,map))
        gr.explodeCompounds()
        gr.splitAggregates()
        pieces_to_keep = []
        for piece in gr.pieces:
            if len(gr.sourcesOfPiece(piece)) >= selfobj.OverlapIndex:
                pieces_to_keep.append(piece)
        selfobj.Shape = BOPTools.ShapeMerge.mergeShapes(pieces_to_keep)

class ViewProviderOverlap:
    def __init__(self,vobj):
        vobj.Proxy = self
       
    def getIcon(self):
        return ":/icons/Part_Overlap.svg"

    def attach(self, vobj):
        self.ViewObject = vobj
        self.Object = vobj.Object
  
    def setEdit(self,vobj,mode):
        return False
    
    def unsetEdit(self,vobj,mode):
        return

    def __getstate__(self):
        return None

    def __setstate__(self,state):
        return None

    def claimChildren(self):
        return self.Object.Objects
        
    def onDelete(self, feature, subelements): # subelements is a tuple of strings
        try:
            for f in self.Object.Objects:
                f.ViewObject.show()
        except Exception as err:
            App.Console.PrintError("Error in onDelete: " + err.message)
        return True

class CommandMacroOverlap:
    "Command to create Overlap feature"
    def GetResources(self):
        return {'Pixmap'  : ":/icons/Part_Overlap.svg",
                'MenuText': "Overlap",
                'Accel': "",
                'ToolTip': "Macro_Overlap: boolean overlap. Collects space filled by at least 2 shapes."}

    def Activated(self):
        run()
    def IsActive(self):
        if App.ActiveDocument:
            return True
        else:
            return False

if App.GuiUp and __name__ != "__main__":
    Gui.addCommand("Macro_Overlap", CommandMacroOverlap())

def run():
    sel = Gui.Selection.getSelectionEx()
    try:
        if len(sel) < 1:
            raise Exception("Select two shapes to compute Overlap between, first! Then run this macro.")
        try:
            App.ActiveDocument.openTransaction("Macro Overlap")
            selfobj = makeOverlapFeature()
            selfobj.Objects = [it.Object for it in sel]
            for f in selfobj.Objects:
                f.ViewObject.hide()
            
            selfobj.Proxy.execute(selfobj)
        finally:
            App.ActiveDocument.commitTransaction()
    except Exception as err:
        from PySide import QtGui
        mb = QtGui.QMessageBox()
        mb.setIcon(mb.Icon.Warning)
        mb.setText(err.message)
        mb.setWindowTitle("Macro Overlap")
        mb.exec_()