Draft.py

# -*- coding: utf8 -*-

#***************************************************************************
#*                                                                         *
#*   Copyright (c) 2009, 2010                                              *
#*   Yorik van Havre <yorik@uncreated.net>, Ken Cline <cline@frii.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                                                                   *
#*                                                                         *
#***************************************************************************

#from __future__ import division

__title__="FreeCAD Draft Workbench"
__author__ = "Yorik van Havre, Werner Mayer, Martin Burbaum, Ken Cline, Dmitry Chigrin, Daniel Falck"
__url__ = "http://www.freecadweb.org"

## \addtogroup DRAFT
#
#  This module offers a range of tools to create and manipulate basic 2D objects
#
#  The module allows to create 2D geometric objects such as line, rectangle, circle,
#  etc, modify these objects by moving, scaling or rotating them, and offers a couple of
#  other utilities to manipulate further these objects, such as decompose them (downgrade)
#  into smaller elements.
#
#  The functionality of the module is divided into GUI tools, usable from the
#  FreeCAD interface, and corresponding python functions, that can perform the same
#  operation programmatically.
#

'''The Draft module offers a range of tools to create and manipulate basic 2D objects'''

import FreeCAD, math, sys, os, DraftVecUtils, Draft_rc
from FreeCAD import Vector

if FreeCAD.GuiUp:
    import FreeCADGui, WorkingPlane
    from PySide import QtCore
    from PySide.QtCore import QT_TRANSLATE_NOOP
    gui = True
else:
    def QT_TRANSLATE_NOOP(ctxt,txt):
        return txt
    #print("FreeCAD Gui not present. Draft module will have some features disabled.")
    gui = False

arrowtypes = ["Dot","Circle","Arrow","Tick"]

#---------------------------------------------------------------------------
# General functions
#---------------------------------------------------------------------------

def stringencodecoin(ustr):
    """stringencodecoin(str): Encodes a unicode object to be used as a string in coin"""
    try:
        from pivy import coin
        coin4 = coin.COIN_MAJOR_VERSION >= 4
    except (ImportError, AttributeError):
        coin4 = False
    if coin4:
        return ustr.encode('utf-8')
    else:
        return ustr.encode('latin1')

def typecheck (args_and_types, name="?"):
    "typecheck([arg1,type),(arg2,type),...]): checks arguments types"
    for v,t in args_and_types:
        if not isinstance (v,t):
            w = "typecheck[" + str(name) + "]: "
            w += str(v) + " is not " + str(t) + "\n"
            FreeCAD.Console.PrintWarning(w)
            raise TypeError("Draft." + str(name))

def getParamType(param):
    if param in ["dimsymbol","dimPrecision","dimorientation","precision","defaultWP",
                 "snapRange","gridEvery","linewidth","UiMode","modconstrain","modsnap",
                 "maxSnapEdges","modalt","HatchPatternResolution","snapStyle",
                 "dimstyle","gridSize"]:
        return "int"
    elif param in ["constructiongroupname","textfont","patternFile","template",
                   "snapModes","FontFile","ClonePrefix"]:
        return "string"
    elif param in ["textheight","tolerance","gridSpacing","arrowsize","extlines","dimspacing"]:
        return "float"
    elif param in ["selectBaseObjects","alwaysSnap","grid","fillmode","saveonexit","maxSnap",
                   "SvgLinesBlack","dxfStdSize","showSnapBar","hideSnapBar","alwaysShowGrid",
                   "renderPolylineWidth","showPlaneTracker","UsePartPrimitives","DiscretizeEllipses",
                   "showUnit"]:
        return "bool"
    elif param in ["color","constructioncolor","snapcolor"]:
        return "unsigned"
    else:
        return None

def getParam(param,default=None):
    "getParam(parameterName): returns a Draft parameter value from the current config"
    p = FreeCAD.ParamGet("User parameter:BaseApp/Preferences/Mod/Draft")
    t = getParamType(param)
    #print("getting param ",param, " of type ",t, " default: ",str(default))
    if t == "int":
        if default == None:
            default = 0
        return p.GetInt(param,default)
    elif t == "string":
        if default == None:
            default = ""
        return p.GetString(param,default)
    elif t == "float":
        if default == None:
            default = 0
        return p.GetFloat(param,default)
    elif t == "bool":
        if default == None:
            default = False
        return p.GetBool(param,default)
    elif t == "unsigned":
        if default == None:
            default = 0
        return p.GetUnsigned(param,default)
    else:
        return None

def setParam(param,value):
    "setParam(parameterName,value): sets a Draft parameter with the given value"
    p = FreeCAD.ParamGet("User parameter:BaseApp/Preferences/Mod/Draft")
    t = getParamType(param)
    if t == "int": p.SetInt(param,value)
    elif t == "string": p.SetString(param,value)
    elif t == "float": p.SetFloat(param,value)
    elif t == "bool": p.SetBool(param,value)
    elif t == "unsigned": p.SetUnsigned(param,value)

def precision():
    "precision(): returns the precision value from Draft user settings"
    return getParam("precision",6)

def tolerance():
    "tolerance(): returns the tolerance value from Draft user settings"
    return getParam("tolerance",0.05)

def epsilon():
    ''' epsilon(): returns a small number based on Draft.tolerance() for use in
    floating point comparisons.  Use with caution. '''
    return (1.0/(10.0**tolerance()))

def getRealName(name):
    "getRealName(string): strips the trailing numbers from a string name"
    for i in range(1,len(name)):
        if not name[-i] in '1234567890':
            return name[:len(name)-(i-1)]
    return name

def getType(obj):
    "getType(object): returns the Draft type of the given object"
    import Part
    if not obj:
        return None
    if isinstance(obj,Part.Shape):
        return "Shape"
    if "Proxy" in obj.PropertiesList:
        if hasattr(obj.Proxy,"Type"):
            return obj.Proxy.Type
    if obj.isDerivedFrom("Sketcher::SketchObject"):
        return "Sketch"
    if (obj.TypeId == "Part::Line"):
        return "Part::Line"
    if obj.isDerivedFrom("Part::Feature"):
        return "Part"
    if (obj.TypeId == "App::Annotation"):
        return "Annotation"
    if obj.isDerivedFrom("Mesh::Feature"):
        return "Mesh"
    if obj.isDerivedFrom("Points::Feature"):
        return "Points"
    if (obj.TypeId == "App::DocumentObjectGroup"):
        return "Group"
    return "Unknown"

def getObjectsOfType(objectslist,typ):
    """getObjectsOfType(objectslist,typ): returns a list of objects of type "typ" found
    in the given object list"""
    objs = []
    for o in objectslist:
        if getType(o) == typ:
            objs.append(o)
    return objs

def get3DView():
    "get3DView(): returns the current view if it is 3D, or the first 3D view found, or None"
    if FreeCAD.GuiUp:
        import FreeCADGui
        v = FreeCADGui.ActiveDocument.ActiveView
        if str(type(v)) == "<type 'View3DInventorPy'>":
            return v
        v = FreeCADGui.ActiveDocument.mdiViewsOfType("Gui::View3DInventor")
        if v:
            return v[0]
    return None

def isClone(obj,objtype,recursive=False):
    """isClone(obj,objtype,[recursive]): returns True if the given object is
    a clone of an object of the given type. If recursive is True, also check if
    the clone is a clone of clone (of clone...)  of the given type."""
    if getType(obj) == "Clone":
        if len(obj.Objects) == 1:
            if getType(obj.Objects[0]) == objtype:
                return True
            elif recursive and (getType(obj.Objects[0]) == "Clone"):
                return isClone(obj.Objects[0],objtype,recursive)
    elif hasattr(obj,"CloneOf"):
        if obj.CloneOf:
            return True
    return False

def getGroupNames():
    "returns a list of existing groups in the document"
    glist = []
    doc = FreeCAD.ActiveDocument
    for obj in doc.Objects:
        if obj.TypeId == "App::DocumentObjectGroup":
            glist.append(obj.Name)
    return glist

def ungroup(obj):
    "removes the current object from any group it belongs to"
    for g in getGroupNames():
        grp = FreeCAD.ActiveDocument.getObject(g)
        if grp.hasObject(obj):
            grp.removeObject(obj)

def dimSymbol(symbol=None,invert=False):
    "returns the current dim symbol from the preferences as a pivy SoMarkerSet"
    if symbol == None:
        symbol = getParam("dimsymbol",0)
    from pivy import coin
    if symbol == 0:
        return coin.SoSphere()
    elif symbol == 1:
        marker = coin.SoMarkerSet()
        marker.markerIndex = coin.SoMarkerSet.CIRCLE_LINE_9_9
        return marker
    elif symbol == 2:
        marker = coin.SoSeparator()
        t = coin.SoTransform()
        t.translation.setValue((0,-2,0))
        t.center.setValue((0,2,0))
        if invert:
            t.rotation.setValue(coin.SbVec3f((0,0,1)),-math.pi/2)
        else:
            t.rotation.setValue(coin.SbVec3f((0,0,1)),math.pi/2)
        c = coin.SoCone()
        c.height.setValue(4)
        marker.addChild(t)
        marker.addChild(c)
        return marker
    elif symbol == 3:
        marker = coin.SoSeparator()
        c = coin.SoCoordinate3()
        c.point.setValues([(-1,-2,0),(0,2,0),(1,2,0),(0,-2,0)])
        f = coin.SoFaceSet()
        marker.addChild(c)
        marker.addChild(f)
        return marker
    else:
        print("Draft.dimsymbol: Not implemented")
        return coin.SoSphere()

def shapify(obj):
    '''shapify(object): transforms a parametric shape object into
    non-parametric and returns the new object'''
    if not (obj.isDerivedFrom("Part::Feature")): return None
    if not "Shape" in obj.PropertiesList: return None
    shape = obj.Shape
    if len(shape.Faces) == 1:
        name = "Face"
    elif len(shape.Solids) == 1:
        name = "Solid"
    elif len(shape.Solids) > 1:
        name = "Compound"
    elif len(shape.Faces) > 1:
        name = "Shell"
    elif len(shape.Wires) == 1:
        name = "Wire"
    elif len(shape.Edges) == 1:
        import DraftGeomUtils
        if DraftGeomUtils.geomType(shape.Edges[0]) == "Line":
            name = "Line"
        else:
            name = "Circle"
    else:
        name = getRealName(obj.Name)
    FreeCAD.ActiveDocument.removeObject(obj.Name)
    newobj = FreeCAD.ActiveDocument.addObject("Part::Feature",name)
    newobj.Shape = shape
    FreeCAD.ActiveDocument.recompute()
    return newobj

def getGroupContents(objectslist,walls=False,addgroups=False):
    '''getGroupContents(objectlist,[walls,addgroups]): if any object of the given list
    is a group, its content is appened to the list, which is returned. If walls is True,
    walls are also scanned for included windows. If addgroups is true, the group itself
    is also included in the list.'''
    def getWindows(obj):
        l = []
        if getType(obj) in ["Wall","Structure"]:
            for o in obj.OutList:
                l.extend(getWindows(o))
        elif (getType(obj) == "Window") or isClone(obj,"Window"):
            l.append(obj)
        return l

    newlist = []
    if not isinstance(objectslist,list):
        objectslist = [objectslist]
    for obj in objectslist:
        if obj:
            if obj.isDerivedFrom("App::DocumentObjectGroup") or ((getType(obj) == "Space") and hasattr(obj,"Group")):
                if obj.isDerivedFrom("Drawing::FeaturePage"):
                    # skip if the group is a page
                    newlist.append(obj)
                else:
                    if addgroups:
                        newlist.append(obj)
                    newlist.extend(getGroupContents(obj.Group,walls,addgroups))
            else:
                #print("adding ",obj.Name)
                newlist.append(obj)
                if walls:
                    newlist.extend(getWindows(obj))

    # cleaning possible duplicates
    cleanlist = []
    for obj in newlist:
        if not obj in cleanlist:
            cleanlist.append(obj)
    return cleanlist

def removeHidden(objectslist):
    """removeHidden(objectslist): removes hidden objects from the list"""
    newlist = objectslist[:]
    for o in objectslist:
        if o.ViewObject:
            if not o.ViewObject.isVisible():
                newlist.remove(o)
    return newlist

def printShape(shape):
    """prints detailed information of a shape"""
    print("solids: ", len(shape.Solids))
    print("faces: ", len(shape.Faces))
    print("wires: ", len(shape.Wires))
    print("edges: ", len(shape.Edges))
    print("verts: ", len(shape.Vertexes))
    if shape.Faces:
        for f in range(len(shape.Faces)):
            print("face ",f,":")
            for v in shape.Faces[f].Vertexes:
                print("    ",v.Point)
    elif shape.Wires:
        for w in range(len(shape.Wires)):
            print("wire ",w,":")
            for v in shape.Wires[w].Vertexes:
                print("    ",v.Point)
    else:
        for v in shape.Vertexes:
            print("    ",v.Point)

def compareObjects(obj1,obj2):
    "Prints the differences between 2 objects"

    if obj1.TypeId != obj2.TypeId:
        print(obj1.Name + " and " + obj2.Name + " are of different types")
    elif getType(obj1) != getType(obj2):
        print(obj1.Name + " and " + obj2.Name + " are of different types")
    else:
        for p in obj1.PropertiesList:
            if p in obj2.PropertiesList:
                if p in ["Shape","Label"]:
                    pass
                elif p ==  "Placement":
                    delta = str((obj1.Placement.Base.sub(obj2.Placement.Base)).Length)
                    print("Objects have different placements. Distance between the 2: " + delta + " units")
                else:
                    if getattr(obj1,p) != getattr(obj2,p):
                        print("Property " + p + " has a different value")
            else:
                print("Property " + p + " doesn't exist in one of the objects")

def formatObject(target,origin=None):
    '''
    formatObject(targetObject,[originObject]): This function applies
    to the given target object the current properties
    set on the toolbar (line color and line width),
    or copies the properties of another object if given as origin.
    It also places the object in construction group if needed.
    '''
    obrep = target.ViewObject
    ui = None
    if gui:
        if hasattr(FreeCADGui,"draftToolBar"):
            ui = FreeCADGui.draftToolBar
    if ui:
        doc = FreeCAD.ActiveDocument
        if ui.isConstructionMode():
            col = fcol = ui.getDefaultColor("constr")
            gname = getParam("constructiongroupname","Construction")
            grp = doc.getObject(gname)
            if not grp:
                grp = doc.addObject("App::DocumentObjectGroup",gname)
            grp.addObject(target)
            if hasattr(obrep,"Transparency"):
                obrep.Transparency = 80
        else:
            col = ui.getDefaultColor("ui")
            fcol = ui.getDefaultColor("face")
        col = (float(col[0]),float(col[1]),float(col[2]),0.0)
        fcol = (float(fcol[0]),float(fcol[1]),float(fcol[2]),0.0)
        lw = ui.linewidth
        fs = ui.fontsize
        if not origin:
            if "FontSize" in obrep.PropertiesList: obrep.FontSize = fs
            if "TextColor" in obrep.PropertiesList: obrep.TextColor = col
            if "LineWidth" in obrep.PropertiesList: obrep.LineWidth = lw
            if "PointColor" in obrep.PropertiesList: obrep.PointColor = col
            if "LineColor" in obrep.PropertiesList: obrep.LineColor = col
            if "ShapeColor" in obrep.PropertiesList: obrep.ShapeColor = fcol
        else:
            matchrep = origin.ViewObject
            for p in matchrep.PropertiesList:
                if not p in ["DisplayMode","BoundingBox","Proxy","RootNode","Visibility"]:
                    if p in obrep.PropertiesList:
                        if not obrep.getEditorMode(p):
                            if hasattr(getattr(matchrep,p),"Value"):
                                val = getattr(matchrep,p).Value
                            else:
                                val = getattr(matchrep,p)
                            setattr(obrep,p,val)
            if matchrep.DisplayMode in obrep.listDisplayModes():
                obrep.DisplayMode = matchrep.DisplayMode
            if hasattr(matchrep,"DiffuseColor") and hasattr(obrep,"DiffuseColor"):
                if matchrep.DiffuseColor:
                    FreeCAD.ActiveDocument.recompute()
                obrep.DiffuseColor = matchrep.DiffuseColor

def getSelection():
    "getSelection(): returns the current FreeCAD selection"
    if gui:
        return FreeCADGui.Selection.getSelection()
    return None

def getSelectionEx():
    "getSelectionEx(): returns the current FreeCAD selection (with subobjects)"
    if gui:
        return FreeCADGui.Selection.getSelectionEx()
    return None

def select(objs=None):
    "select(object): deselects everything and selects only the passed object or list"
    if gui:
        FreeCADGui.Selection.clearSelection()
        if objs:
            if not isinstance(objs,list):
                objs = [objs]
            for obj in objs:
                FreeCADGui.Selection.addSelection(obj)

def loadSvgPatterns():
    "loads the default Draft SVG patterns and custom patters if available"
    import importSVG
    from PySide import QtCore
    FreeCAD.svgpatterns = {}
    # getting default patterns
    patfiles = QtCore.QDir(":/patterns").entryList()
    for fn in patfiles:
        fn = ":/patterns/"+str(fn)
        f = QtCore.QFile(fn)
        f.open(QtCore.QIODevice.ReadOnly)
        p = importSVG.getContents(str(f.readAll()),'pattern',True)
        if p:
            for k in p:
                p[k] = [p[k],fn]
            FreeCAD.svgpatterns.update(p)
    # looking for user patterns
    altpat = getParam("patternFile","")
    if os.path.isdir(altpat):
        for f in os.listdir(altpat):
            if f[-4:].upper() == ".SVG":
                p = importSVG.getContents(altpat+os.sep+f,'pattern')
                if p:
                    for k in p:
                        p[k] = [p[k],altpat+os.sep+f]
                    FreeCAD.svgpatterns.update(p)

def svgpatterns():
    """svgpatterns(): returns a dictionnary with installed SVG patterns"""
    if hasattr(FreeCAD,"svgpatterns"):
        return FreeCAD.svgpatterns
    else:
        loadSvgPatterns()
        if hasattr(FreeCAD,"svgpatterns"):
            return FreeCAD.svgpatterns
    return {}

def loadTexture(filename,size=None):
    """loadTexture(filename,[size]): returns a SoSFImage from a file. If size
    is defined (an int or a tuple), and provided the input image is a png file,
    it will be scaled to match the given size."""
    if gui:
        from pivy import coin
        from PySide import QtGui,QtSvg
        try:
            p = QtGui.QImage(filename)
            # buggy - TODO: allow to use resolutions
            #if size and (".svg" in filename.lower()):
            #    # this is a pattern, not a texture
            #    if isinstance(size,int):
            #        size = (size,size)
            #    svgr = QtSvg.QSvgRenderer(filename)
            #    p = QtGui.QImage(size[0],size[1],QtGui.QImage.Format_ARGB32)
            #    pa = QtGui.QPainter()
            #    pa.begin(p)
            #    svgr.render(pa)
            #    pa.end()
            #else:
            #    p = QtGui.QImage(filename)
            size = coin.SbVec2s(p.width(), p.height())
            buffersize = p.byteCount()
            numcomponents = int (float(buffersize) / ( size[0] * size[1] ))

            img = coin.SoSFImage()
            width = size[0]
            height = size[1]
            bytes = ""

            for y in range(height):
                #line = width*numcomponents*(height-(y));
                for x in range(width):
                    rgb = p.pixel(x,y)
                    if numcomponents == 1:
                        bytes = bytes + chr(QtGui.qGray( rgb ))
                    elif numcomponents == 2:
                        bytes = bytes + chr(QtGui.qGray( rgb ))
                        bytes = bytes + chr(QtGui.qAlpha( rgb ))
                    elif numcomponents == 3:
                        bytes = bytes + chr(QtGui.qRed( rgb ))
                        bytes = bytes + chr(QtGui.qGreen( rgb ))
                        bytes = bytes + chr(QtGui.qBlue( rgb ))
                    elif numcomponents == 4:
                        bytes = bytes + chr(QtGui.qRed( rgb ))
                        bytes = bytes + chr(QtGui.qGreen( rgb ))
                        bytes = bytes + chr(QtGui.qBlue( rgb ))
                        bytes = bytes + chr(QtGui.qAlpha( rgb ))
                    #line += numcomponents

            img.setValue(size, numcomponents, bytes)
        except:
            print("Draft: unable to load texture")
            return None
        else:
            return img
    return None

def getMovableChildren(objectslist,recursive=True):
    '''getMovableChildren(objectslist,[recursive]): extends the given list of objects
    with all child objects that have a "MoveWithHost" property set to True. If
    recursive is True, all descendents are considered, otherwise only direct children.'''
    added = []
    for obj in objectslist:
        if not (getType(obj) in ["Clone","SectionPlane"]):
            # objects that should never move their children
            children = obj.OutList
            if  hasattr(obj,"Proxy"):
                if obj.Proxy:
                    if hasattr(obj.Proxy,"getSiblings") and not(getType(obj) in ["Window"]):
                        #children.extend(obj.Proxy.getSiblings(obj))
                        pass
            for child in children:
                if hasattr(child,"MoveWithHost"):
                    if child.MoveWithHost:
                        if hasattr(obj,"CloneOf"):
                            if obj.CloneOf:
                                if obj.CloneOf.Name != child.Name:
                                    added.append(child)
                            else:
                                added.append(child)
                        else:
                            added.append(child)
            if recursive:
                added.extend(getMovableChildren(children))
    return added

def makeCircle(radius, placement=None, face=None, startangle=None, endangle=None, support=None):
    '''makeCircle(radius,[placement,face,startangle,endangle])
    or makeCircle(edge,[face]):
    Creates a circle object with given radius. If placement is given, it is
    used. If face is False, the circle is shown as a
    wireframe, otherwise as a face. If startangle AND endangle are given
    (in degrees), they are used and the object appears as an arc. If an edge
    is passed, its Curve must be a Part.Circle'''
    import Part, DraftGeomUtils
    if placement: typecheck([(placement,FreeCAD.Placement)], "makeCircle")
    if startangle != endangle:
        n = "Arc"
    else:
        n = "Circle"
    obj = FreeCAD.ActiveDocument.addObject("Part::Part2DObjectPython",n)
    _Circle(obj)
    if face != None:
        obj.MakeFace = face
    if isinstance(radius,Part.Edge):
        edge = radius
        if DraftGeomUtils.geomType(edge) == "Circle":
            obj.Radius = edge.Curve.Radius
            placement = FreeCAD.Placement(edge.Placement)
            delta = edge.Curve.Center.sub(placement.Base)
            placement.move(delta)
            if len(edge.Vertexes) > 1:
                ref = placement.multVec(FreeCAD.Vector(1,0,0))
                v1 = (edge.Vertexes[0].Point).sub(edge.Curve.Center)
                v2 = (edge.Vertexes[-1].Point).sub(edge.Curve.Center)
                a1 = -math.degrees(DraftVecUtils.angle(v1,ref))
                a2 = -math.degrees(DraftVecUtils.angle(v2,ref))
                obj.FirstAngle = a1
                obj.LastAngle = a2
    else:
        obj.Radius = radius
        if (startangle != None) and (endangle != None):
            if startangle == -0: startangle = 0
            obj.FirstAngle = startangle
            obj.LastAngle = endangle
    obj.Support = support
    if placement: obj.Placement = placement
    if gui:
        _ViewProviderDraft(obj.ViewObject)
        formatObject(obj)
        select(obj)
    FreeCAD.ActiveDocument.recompute()
    return obj

def makeRectangle(length, height, placement=None, face=None, support=None):
    '''makeRectangle(length,width,[placement],[face]): Creates a Rectangle
    object with length in X direction and height in Y direction.
    If a placement is given, it is used. If face is False, the
    rectangle is shown as a wireframe, otherwise as a face.'''
    if placement: typecheck([(placement,FreeCAD.Placement)], "makeRectangle")
    obj = FreeCAD.ActiveDocument.addObject("Part::Part2DObjectPython","Rectangle")
    _Rectangle(obj)

    obj.Length = length
    obj.Height = height
    obj.Support = support
    if face != None:
        obj.MakeFace = face
    if placement: obj.Placement = placement
    if gui:
        _ViewProviderRectangle(obj.ViewObject)
        formatObject(obj)
        select(obj)
    FreeCAD.ActiveDocument.recompute()
    return obj

def makeDimension(p1,p2,p3=None,p4=None):
    '''makeDimension(p1,p2,[p3]) or makeDimension(object,i1,i2,p3)
    or makeDimension(objlist,indices,p3): Creates a Dimension object with
    the dimension line passign through p3.The current line width and color
    will be used. There are multiple  ways to create a dimension, depending on
    the arguments you pass to it:
    - (p1,p2,p3): creates a standard dimension from p1 to p2
    - (object,i1,i2,p3): creates a linked dimension to the given object,
    measuring the distance between its vertices indexed i1 and i2
    - (object,i1,mode,p3): creates a linked dimension
    to the given object, i1 is the index of the (curved) edge to measure,
    and mode is either "radius" or "diameter".
    '''
    obj = FreeCAD.ActiveDocument.addObject("App::FeaturePython","Dimension")
    _Dimension(obj)
    if gui:
        _ViewProviderDimension(obj.ViewObject)
    if isinstance(p1,Vector) and isinstance(p2,Vector):
        obj.Start = p1
        obj.End = p2
        if not p3:
            p3 = p2.sub(p1)
            p3.multiply(0.5)
            p3 = p1.add(p3)
    elif isinstance(p2,int) and isinstance(p3,int):
        l = []
        l.append((p1,"Vertex"+str(p2+1)))
        l.append((p1,"Vertex"+str(p3+1)))
        obj.LinkedGeometry = l
        obj.Support = p1
        p3 = p4
        if not p3:
            v1 = obj.Base.Shape.Vertexes[idx[0]].Point
            v2 = obj.Base.Shape.Vertexes[idx[1]].Point
            p3 = v2.sub(v1)
            p3.multiply(0.5)
            p3 = v1.add(p3)
    elif isinstance(p3,str):
        l = []
        l.append((p1,"Edge"+str(p2+1)))
        if p3 == "radius":
            #l.append((p1,"Center"))
            obj.ViewObject.Override = "R $dim"
            obj.Diameter = False
        elif p3 == "diameter":
            #l.append((p1,"Diameter"))
            obj.ViewObject.Override = "Ø $dim"
            obj.Diameter = True
        obj.LinkedGeometry = l
        obj.Support = p1
        p3 = p4
        if not p3:
            p3 = p1.Shape.Edges[p2].Curve.Center.add(Vector(1,0,0))
    obj.Dimline = p3
    if hasattr(FreeCAD,"DraftWorkingPlane"):
        normal = FreeCAD.DraftWorkingPlane.axis
    else:
        normal = FreeCAD.Vector(0,0,1)
    if gui:
        # invert the normal if we are viewing it from the back
        vnorm = get3DView().getViewDirection()
        if vnorm.getAngle(normal) < math.pi/2:
            normal = normal.negative()
    obj.Normal = normal
    if gui:
        formatObject(obj)
        select(obj)
    FreeCAD.ActiveDocument.recompute()
    return obj

def makeAngularDimension(center,angles,p3,normal=None):
    '''makeAngularDimension(center,angle1,angle2,p3,[normal]): creates an angular Dimension
    from the given center, with the given list of angles, passing through p3.
    '''
    obj = FreeCAD.ActiveDocument.addObject("App::FeaturePython","Dimension")
    _AngularDimension(obj)
    obj.Center = center
    for a in range(len(angles)):
        if angles[a] > 2*math.pi:
            angles[a] = angles[a]-(2*math.pi)
    obj.FirstAngle = math.degrees(angles[1])
    obj.LastAngle = math.degrees(angles[0])
    obj.Dimline = p3
    if not normal:
        if hasattr(FreeCAD,"DraftWorkingPlane"):
            normal = FreeCAD.DraftWorkingPlane.axis
        else:
            normal = Vector(0,0,1)
    if gui:
        # invert the normal if we are viewing it from the back
        vnorm = get3DView().getViewDirection()
        if vnorm.getAngle(normal) < math.pi/2:
            normal = normal.negative()
    obj.Normal = normal
    if gui:
        _ViewProviderAngularDimension(obj.ViewObject)
        formatObject(obj)
        select(obj)
    FreeCAD.ActiveDocument.recompute()
    return obj

def makeWire(pointslist,closed=False,placement=None,face=None,support=None):
    '''makeWire(pointslist,[closed],[placement]): Creates a Wire object
    from the given list of vectors. If closed is True or first
    and last points are identical, the wire is closed. If face is
    true (and wire is closed), the wire will appear filled. Instead of
    a pointslist, you can also pass a Part Wire.'''
    import DraftGeomUtils, Part
    if not isinstance(pointslist,list):
        e = pointslist.Wires[0].Edges
        pointslist = Part.Wire(Part.__sortEdges__(e))
        nlist = []
        for v in pointslist.Vertexes:
            nlist.append(v.Point)
        if DraftGeomUtils.isReallyClosed(pointslist):
            closed = True
        pointslist = nlist
    if len(pointslist) == 0:
        print("Invalid input points: ",pointslist)
    #print(pointslist)
    #print(closed)
    if placement: typecheck([(placement,FreeCAD.Placement)], "makeWire")
    if len(pointslist) == 2: fname = "Line"
    else: fname = "DWire"
    obj = FreeCAD.ActiveDocument.addObject("Part::Part2DObjectPython",fname)
    _Wire(obj)
    obj.Points = pointslist
    obj.Closed = closed
    obj.Support = support
    if face != None:
        obj.MakeFace = face
    if placement: obj.Placement = placement
    if gui:
        _ViewProviderWire(obj.ViewObject)
        formatObject(obj)
        select(obj)
    FreeCAD.ActiveDocument.recompute()
    return obj

def makePolygon(nfaces,radius=1,inscribed=True,placement=None,face=None,support=None):
    '''makePolgon(nfaces,[radius],[inscribed],[placement],[face]): Creates a
    polygon object with the given number of faces and the radius.
    if inscribed is False, the polygon is circumscribed around a circle
    with the given radius, otherwise it is inscribed. If face is True,
    the resulting shape is displayed as a face, otherwise as a wireframe.
    '''
    if nfaces < 3: return None
    obj = FreeCAD.ActiveDocument.addObject("Part::Part2DObjectPython","Polygon")
    _Polygon(obj)
    obj.FacesNumber = nfaces
    obj.Radius = radius
    if face != None:
        obj.MakeFace = face
    if inscribed:
        obj.DrawMode = "inscribed"
    else:
        obj.DrawMode = "circumscribed"
    obj.Support = support
    if placement: obj.Placement = placement
    if gui:
        _ViewProviderDraft(obj.ViewObject)
        formatObject(obj)
        select(obj)
    FreeCAD.ActiveDocument.recompute()
    return obj

def makeLine(p1,p2):
    '''makeLine(p1,p2): Creates a line between p1 and p2.'''
    obj = makeWire([p1,p2])
    return obj

def makeBSpline(pointslist,closed=False,placement=None,face=None,support=None):
    '''makeBSpline(pointslist,[closed],[placement]): Creates a B-Spline object
    from the given list of vectors. If closed is True or first
    and last points are identical, the wire is closed. If face is
    true (and wire is closed), the wire will appear filled. Instead of
    a pointslist, you can also pass a Part Wire.'''
    from DraftTools import msg,translate
    if not isinstance(pointslist,list):
        nlist = []
        for v in pointslist.Vertexes:
            nlist.append(v.Point)
        pointslist = nlist
    if len(pointslist) < 2:
        msg(translate("draft","Draft.makeBSpline: not enough points\n"), 'error')
        return
    if (pointslist[0] == pointslist[-1]):
        if len(pointslist) > 2:
            closed = True
            pointslist.pop()
            msg(translate("draft","Draft.makeBSpline: Equal endpoints forced Closed\n"), 'warning')
        else:                                                                            # len == 2 and first == last   GIGO
            msg(translate("draft","Draft.makeBSpline: Invalid pointslist\n"), 'error')
            return
    # should have sensible parms from here on
    if placement: typecheck([(placement,FreeCAD.Placement)], "makeBSpline")
    if len(pointslist) == 2: fname = "Line"
    else: fname = "BSpline"
    obj = FreeCAD.ActiveDocument.addObject("Part::Part2DObjectPython",fname)
    _BSpline(obj)
    obj.Closed = closed
    obj.Points = pointslist
    obj.Support = support
    if face != None:
        obj.MakeFace = face
    if placement: obj.Placement = placement
    if gui:
        _ViewProviderWire(obj.ViewObject)
        formatObject(obj)
        select(obj)
    FreeCAD.ActiveDocument.recompute()
    return obj

def makeBezCurve(pointslist,closed=False,placement=None,face=None,support=None,Degree=None):
    '''makeBezCurve(pointslist,[closed],[placement]): Creates a Bezier Curve object
    from the given list of vectors.   Instead of a pointslist, you can also pass a Part Wire.'''
    if not isinstance(pointslist,list):
        nlist = []
        for v in pointslist.Vertexes:
            nlist.append(v.Point)
        pointslist = nlist
    if placement: typecheck([(placement,FreeCAD.Placement)], "makeBezCurve")
    if len(pointslist) == 2: fname = "Line"
    else: fname = "BezCurve"
    obj = FreeCAD.ActiveDocument.addObject("Part::Part2DObjectPython",fname)
    _BezCurve(obj)
    obj.Points = pointslist
    if Degree:
        obj.Degree = Degree
    else:
        import Part
        obj.Degree = min((len(pointslist)-(1 * (not closed))),\
            Part.BezierCurve().MaxDegree)
    obj.Closed = closed
    obj.Support = support
    if face != None:
        obj.MakeFace = face
    obj.Proxy.resetcontinuity(obj)
    if placement: obj.Placement = placement
    if gui:
        _ViewProviderWire(obj.ViewObject)
#        if not face: obj.ViewObject.DisplayMode = "Wireframe"
#        obj.ViewObject.DisplayMode = "Wireframe"
        formatObject(obj)
        select(obj)
    FreeCAD.ActiveDocument.recompute()
    return obj

def makeText(stringslist,point=Vector(0,0,0),screen=False):
    '''makeText(strings,[point],[screen]): Creates a Text object at the given point,
    containing the strings given in the strings list, one string by line (strings
    can also be one single string). The current color and text height and font
    specified in preferences are used.
    If screen is True, the text always faces the view direction.'''
    typecheck([(point,Vector)], "makeText")
    if not isinstance(stringslist,list): stringslist = [stringslist]
    obj=FreeCAD.ActiveDocument.addObject("App::Annotation","Text")
    obj.LabelText=stringslist
    obj.Position=point
    if FreeCAD.GuiUp:
        if not screen:
            obj.ViewObject.DisplayMode="World"
        h = getParam("textheight",0.20)
        if screen:
            h = h*10
        obj.ViewObject.FontSize = h
        obj.ViewObject.FontName = getParam("textfont","")
        obj.ViewObject.LineSpacing = 0.6
        formatObject(obj)
        select(obj)
    return obj

def makeCopy(obj,force=None,reparent=False):
    '''makeCopy(object): returns an exact copy of an object'''
    if (getType(obj) == "Rectangle") or (force == "Rectangle"):
        newobj = FreeCAD.ActiveDocument.addObject(obj.TypeId,getRealName(obj.Name))
        _Rectangle(newobj)
        if gui:
            _ViewProviderRectangle(newobj.ViewObject)
    elif (getType(obj) == "Point") or (force == "Point"):
        newobj = FreeCAD.ActiveDocument.addObject(obj.TypeId,getRealName(obj.Name))
        _Point(newobj)
        if gui:
            _ViewProviderPoint(newobj.ViewObject)
    elif (getType(obj) == "Dimension") or (force == "Dimension"):
        newobj = FreeCAD.ActiveDocument.addObject(obj.TypeId,getRealName(obj.Name))
        _Dimension(newobj)
        if gui:
            _ViewProviderDimension(newobj.ViewObject)
    elif (getType(obj) == "Wire") or (force == "Wire"):
        newobj = FreeCAD.ActiveDocument.addObject(obj.TypeId,getRealName(obj.Name))
        _Wire(newobj)
        if gui:
            _ViewProviderWire(newobj.ViewObject)
    elif (getType(obj) == "Circle") or (force == "Circle"):
        newobj = FreeCAD.ActiveDocument.addObject(obj.TypeId,getRealName(obj.Name))
        _Circle(newobj)
        if gui:
            _ViewProviderDraft(newobj.ViewObject)
    elif (getType(obj) == "Polygon") or (force == "Polygon"):
        newobj = FreeCAD.ActiveDocument.addObject(obj.TypeId,getRealName(obj.Name))
        _Polygon(newobj)
        if gui:
            _ViewProviderDraft(newobj.ViewObject)
    elif (getType(obj) == "BSpline") or (force == "BSpline"):
        newobj = FreeCAD.ActiveDocument.addObject(obj.TypeId,getRealName(obj.Name))
        _BSpline(newobj)
        if gui:
            _ViewProviderWire(newobj.ViewObject)
    elif (getType(obj) == "Block") or (force == "BSpline"):
        newobj = FreeCAD.ActiveDocument.addObject(obj.TypeId,getRealName(obj.Name))
        _Block(newobj)
        if gui:
            _ViewProviderDraftPart(newobj.ViewObject)
    elif (getType(obj) == "DrawingView") or (force == "DrawingView"):
        newobj = FreeCAD.ActiveDocument.addObject(obj.TypeId,getRealName(obj.Name))
        _DrawingView(newobj)
    elif (getType(obj) == "Structure") or (force == "Structure"):
        import ArchStructure
        newobj = FreeCAD.ActiveDocument.addObject(obj.TypeId,getRealName(obj.Name))
        ArchStructure._Structure(newobj)
        if gui:
            ArchStructure._ViewProviderStructure(newobj.ViewObject)
    elif (getType(obj) == "Wall") or (force == "Wall"):
        import ArchWall
        newobj = FreeCAD.ActiveDocument.addObject(obj.TypeId,getRealName(obj.Name))
        ArchWall._Wall(newobj)
        if gui:
            ArchWall._ViewProviderWall(newobj.ViewObject)
    elif (getType(obj) == "Window") or (force == "Window"):
        import ArchWindow
        newobj = FreeCAD.ActiveDocument.addObject(obj.TypeId,getRealName(obj.Name))
        ArchWindow._Window(newobj)
        if gui:
            ArchWindow._ViewProviderWindow(newobj.ViewObject)
    elif (getType(obj) == "Panel") or (force == "Panel"):
        import ArchPanel
        newobj = FreeCAD.ActiveDocument.addObject(obj.TypeId,getRealName(obj.Name))
        ArchPanel._Panel(newobj)
        if gui:
            ArchPanel._ViewProviderPanel(newobj.ViewObject)
    elif (getType(obj) == "Sketch") or (force == "Sketch"):
        newobj = FreeCAD.ActiveDocument.addObject("Sketcher::SketchObject",getRealName(obj.Name))
        for geo in obj.Geometry:
            newobj.addGeometry(geo)
        for con in obj.Constraints:
            newobj.addConstraint(con)
    elif obj.isDerivedFrom("Part::Feature"):
        newobj = FreeCAD.ActiveDocument.addObject("Part::Feature",getRealName(obj.Name))
        newobj.Shape = obj.Shape
    else:
        print("Error: Object type cannot be copied")
        return None
    for p in obj.PropertiesList:
        if not p in ["Proxy"]:
            if p in newobj.PropertiesList:
                if not newobj.getEditorMode(p):
                    try:
                        setattr(newobj,p,obj.getPropertyByName(p))
                    except AttributeError:
                        try:
                            setattr(newobj,p,obj.getPropertyByName(p).Value)
                        except AttributeError:
                            pass
    if reparent:
        parents = obj.InList
        if parents:
            for par in parents:
                if par.isDerivedFrom("App::DocumentObjectGroup"):
                    par.addObject(newobj)
                else:
                    for prop in par.PropertiesList:
                        if getattr(par,prop) == obj:
                            setattr(par,prop,newobj)
                            FreeCAD.ActiveDocument.recompute()
    formatObject(newobj,obj)
    return newobj

def makeBlock(objectslist):
    '''makeBlock(objectslist): Creates a Draft Block from the given objects'''
    obj = FreeCAD.ActiveDocument.addObject("Part::Part2DObjectPython","Block")
    _Block(obj)
    obj.Components = objectslist
    if gui:
        _ViewProviderDraftPart(obj.ViewObject)
        for o in objectslist:
            o.ViewObject.Visibility = False
        select(obj)
    return obj

def makeArray(baseobject,arg1,arg2,arg3,arg4=None,name="Array"):
    '''makeArray(object,xvector,yvector,xnum,ynum,[name]) for rectangular array, or
    makeArray(object,center,totalangle,totalnum,[name]) for polar array: Creates an array
    of the given object
    with, in case of rectangular array, xnum of iterations in the x direction
    at xvector distance between iterations, and same for y direction with yvector
    and ynum. In case of polar array, center is a vector, totalangle is the angle
    to cover (in degrees) and totalnum is the number of objects, including the original.
    The result is a parametric Draft Array.'''
    obj = FreeCAD.ActiveDocument.addObject("Part::FeaturePython",name)
    _Array(obj)
    obj.Base = baseobject
    if arg4:
        obj.ArrayType = "ortho"
        obj.IntervalX = arg1
        obj.IntervalY = arg2
        obj.NumberX = arg3
        obj.NumberY = arg4
    else:
        obj.ArrayType = "polar"
        obj.Center = arg1
        obj.Angle = arg2
        obj.NumberPolar = arg3
    if gui:
        _ViewProviderDraftArray(obj.ViewObject)
        baseobject.ViewObject.hide()
        select(obj)
    return obj

def makePathArray(baseobject,pathobject,count,xlate=None,align=False,pathobjsubs=[]):
    '''makePathArray(docobj,path,count,xlate,align,pathobjsubs): distribute
    count copies of a document baseobject along a pathobject or subobjects of a
    pathobject. Optionally translates each copy by FreeCAD.Vector xlate direction
    and distance to adjust for difference in shape centre vs shape reference point.
    Optionally aligns baseobject to tangent/normal/binormal of path.'''
    obj = FreeCAD.ActiveDocument.addObject("Part::FeaturePython","PathArray")
    _PathArray(obj)
    obj.Base = baseobject
    obj.PathObj = pathobject
    if pathobjsubs:
        sl = []
        for sub in pathobjsubs:
            sl.append((obj.PathObj,sub))
        obj.PathSubs = list(sl)
    if count > 1:
        obj.Count = count
    if xlate:
        obj.Xlate = xlate
    obj.Align = align
    if gui:
        _ViewProviderDraftArray(obj.ViewObject)
        baseobject.ViewObject.hide()
        formatObject(obj,obj.Base)
        select(obj)
    return obj

def makeEllipse(majradius,minradius,placement=None,face=True,support=None):
    '''makeEllipse(majradius,minradius,[placement],[face],[support]): makes
    an ellipse with the given major and minor radius, and optionally
    a placement.'''
    obj = FreeCAD.ActiveDocument.addObject("Part::Part2DObjectPython","Ellipse")
    _Ellipse(obj)
    if minradius > majradius:
        majradius,minradius = minradius,majradius
    obj.MajorRadius = majradius
    obj.MinorRadius = minradius
    obj.Support = support
    if placement:
        obj.Placement = placement
    if gui:
        _ViewProviderDraft(obj.ViewObject)
        #if not face:
        #    obj.ViewObject.DisplayMode = "Wireframe"
        formatObject(obj)
        select(obj)
    FreeCAD.ActiveDocument.recompute()
    return obj

def makeVisGroup(group=None,name="VisGroup"):
    '''makeVisGroup([group]): creates a VisGroup object in the given group, or in the
    active document if no group is given'''
    obj = FreeCAD.ActiveDocument.addObject("App::DocumentObjectGroupPython",name)
    _VisGroup(obj)
    if FreeCAD.GuiUp:
        _ViewProviderVisGroup(obj.ViewObject)
        formatObject(obj)
    if group:
        group.addObject(obj)
    return obj

def extrude(obj,vector,solid=False):
    '''makeExtrusion(object,vector): extrudes the given object
    in the direction given by the vector. The original object
    gets hidden.'''
    newobj = FreeCAD.ActiveDocument.addObject("Part::Extrusion","Extrusion")
    newobj.Base = obj
    newobj.Dir = vector
    newobj.Solid = solid
    if gui:
        obj.ViewObject.Visibility = False
        formatObject(newobj,obj)
    FreeCAD.ActiveDocument.recompute()
    return newobj

def fuse(object1,object2):
    '''fuse(oject1,object2): returns an object made from
    the union of the 2 given objects. If the objects are
    coplanar, a special Draft Wire is used, otherwise we use
    a standard Part fuse.'''
    import DraftGeomUtils, Part
    # testing if we have holes:
    holes = False
    fshape = object1.Shape.fuse(object2.Shape)
    fshape = fshape.removeSplitter()
    for f in fshape.Faces:
        if len(f.Wires) > 1:
            holes = True
    if DraftGeomUtils.isCoplanar(object1.Shape.fuse(object2.Shape).Faces) and not holes:
        obj = FreeCAD.ActiveDocument.addObject("Part::Part2DObjectPython","Fusion")
        _Wire(obj)
        if gui:
            _ViewProviderWire(obj.ViewObject)
        obj.Base = object1
        obj.Tool = object2
    elif holes:
        # temporary hack, since Part::Fuse objects don't remove splitters
        obj = FreeCAD.ActiveDocument.addObject("Part::Feature","Fusion")
        obj.Shape = fshape
    else:
        obj = FreeCAD.ActiveDocument.addObject("Part::Fuse","Fusion")
        obj.Base = object1
        obj.Tool = object2
    if gui:
        object1.ViewObject.Visibility = False
        object2.ViewObject.Visibility = False
        formatObject(obj,object1)
    FreeCAD.ActiveDocument.recompute()
    return obj

def cut(object1,object2):
    '''cut(oject1,object2): returns a cut object made from
    the difference of the 2 given objects.'''
    obj = FreeCAD.ActiveDocument.addObject("Part::Cut","Cut")
    obj.Base = object1
    obj.Tool = object2
    object1.ViewObject.Visibility = False
    object2.ViewObject.Visibility = False
    formatObject(obj,object1)
    FreeCAD.ActiveDocument.recompute()
    return obj

def move(objectslist,vector,copy=False):
    '''move(objects,vector,[copy]): Moves the objects contained
    in objects (that can be an object or a list of objects)
    in the direction and distance indicated by the given
    vector. If copy is True, the actual objects are not moved, but copies
    are created instead.he objects (or their copies) are returned.'''
    typecheck([(vector,Vector), (copy,bool)], "move")
    if not isinstance(objectslist,list): objectslist = [objectslist]
    objectslist.extend(getMovableChildren(objectslist))
    newobjlist = []
    for obj in objectslist:
        if hasattr(obj,"Placement"):
           if obj.getEditorMode("Placement") == ["ReadOnly"]:
               if not copy:
                   FreeCAD.Console.PrintError(obj.Name+" cannot be moved because its placement is readonly.")
                   continue
        if getType(obj) == "Point":
            v = Vector(obj.X,obj.Y,obj.Z)
            v = v.add(vector)
            if copy:
                newobj = makeCopy(obj)
            else:
                newobj = obj
            newobj.X = v.x
            newobj.Y = v.y
            newobj.Z = v.z
        elif (obj.isDerivedFrom("Part::Feature")):
            if copy:
                newobj = makeCopy(obj)
            else:
                newobj = obj
            pla = newobj.Placement
            pla.move(vector)
        elif getType(obj) == "Annotation":
            if copy:
                newobj = FreeCAD.ActiveDocument.addObject("App::Annotation",getRealName(obj.Name))
                newobj.LabelText = obj.LabelText
                if gui:
                    formatObject(newobj,obj)
            else:
                newobj = obj
            newobj.Position = obj.Position.add(vector)
        elif getType(obj) == "Dimension":
            if copy:
                newobj = FreeCAD.ActiveDocument.addObject("App::FeaturePython",getRealName(obj.Name))
                _Dimension(newobj)
                if gui:
                    _ViewProviderDimension(newobj.ViewObject)
                    formatObject(newobj,obj)
            else:
                newobj = obj
            newobj.Start = obj.Start.add(vector)
            newobj.End = obj.End.add(vector)
            newobj.Dimline = obj.Dimline.add(vector)
        else:
            if copy: print("Mesh copy not supported at the moment") # TODO
            newobj = obj
            if "Placement" in obj.PropertiesList:
                pla = obj.Placement
                pla.move(vector)
        newobjlist.append(newobj)
    if copy and getParam("selectBaseObjects",False):
        select(objectslist)
    else:
        select(newobjlist)
    if len(newobjlist) == 1: return newobjlist[0]
    return newobjlist

def array(objectslist,arg1,arg2,arg3,arg4=None):
    '''array(objectslist,xvector,yvector,xnum,ynum) for rectangular array, or
    array(objectslist,center,totalangle,totalnum) for polar array: Creates an array
    of the objects contained in list (that can be an object or a list of objects)
    with, in case of rectangular array, xnum of iterations in the x direction
    at xvector distance between iterations, and same for y direction with yvector
    and ynum. In case of polar array, center is a vector, totalangle is the angle
    to cover (in degrees) and totalnum is the number of objects, including the original.

    This function creates an array of independent objects. Use makeArray() to create a
    parametric array object.'''

    def rectArray(objectslist,xvector,yvector,xnum,ynum):
        typecheck([(xvector,Vector), (yvector,Vector), (xnum,int), (ynum,int)], "rectArray")
        if not isinstance(objectslist,list): objectslist = [objectslist]
        for xcount in range(xnum):
            currentxvector=Vector(xvector).multiply(xcount)
            if not xcount==0:
                move(objectslist,currentxvector,True)
            for ycount in range(ynum):
                currentxvector=FreeCAD.Base.Vector(currentxvector)
                currentyvector=currentxvector.add(Vector(yvector).multiply(ycount))
                if not ycount==0:
                    move(objectslist,currentyvector,True)
    def polarArray(objectslist,center,angle,num):
        typecheck([(center,Vector), (num,int)], "polarArray")
        if not isinstance(objectslist,list): objectslist = [objectslist]
        fraction = float(angle)/num
        for i in range(num):
            currangle = fraction + (i*fraction)
            rotate(objectslist,currangle,center,copy=True)

    if arg4:
        rectArray(objectslist,arg1,arg2,arg3,arg4)
    else:
        polarArray(objectslist,arg1,arg2,arg3)

def rotate(objectslist,angle,center=Vector(0,0,0),axis=Vector(0,0,1),copy=False):
    '''rotate(objects,angle,[center,axis,copy]): Rotates the objects contained
    in objects (that can be a list of objects or an object) of the given angle
    (in degrees) around the center, using axis as a rotation axis. If axis is
    omitted, the rotation will be around the vertical Z axis.
    If copy is True, the actual objects are not moved, but copies
    are created instead. The objects (or their copies) are returned.'''
    import Part
    typecheck([(copy,bool)], "rotate")
    if not isinstance(objectslist,list): objectslist = [objectslist]
    objectslist.extend(getMovableChildren(objectslist))
    newobjlist = []
    for obj in objectslist:
        if hasattr(obj,"Placement"):
           if obj.getEditorMode("Placement") == ["ReadOnly"]:
               if not copy:
                   FreeCAD.Console.PrintError(obj.Name+" cannot be rotated because its placement is readonly.")
                   continue
        if copy:
            newobj = makeCopy(obj)
        else:
            newobj = obj
        if (obj.isDerivedFrom("Part::Feature")):
            shape = obj.Shape.copy()
            shape.rotate(DraftVecUtils.tup(center), DraftVecUtils.tup(axis), angle)
            newobj.Shape = shape
        elif (obj.isDerivedFrom("App::Annotation")):
            if axis.normalize() == Vector(1,0,0):
                newobj.ViewObject.RotationAxis = "X"
                newobj.ViewObject.Rotation = angle
            elif axis.normalize() == Vector(0,1,0):
                newobj.ViewObject.RotationAxis = "Y"
                newobj.ViewObject.Rotation = angle
            elif axis.normalize() == Vector(0,-1,0):
                newobj.ViewObject.RotationAxis = "Y"
                newobj.ViewObject.Rotation = -angle
            elif axis.normalize() == Vector(0,0,1):
                newobj.ViewObject.RotationAxis = "Z"
                newobj.ViewObject.Rotation = angle
            elif axis.normalize() == Vector(0,0,-1):
                newobj.ViewObject.RotationAxis = "Z"
                newobj.ViewObject.Rotation = -angle
        elif hasattr(obj,"Placement"):
            shape = Part.Shape()
            shape.Placement = obj.Placement
            shape.rotate(DraftVecUtils.tup(center), DraftVecUtils.tup(axis), angle)
            newobj.Placement = shape.Placement
        if copy:
            formatObject(newobj,obj)
        newobjlist.append(newobj)
    if copy and getParam("selectBaseObjects",False):
        select(objectslist)
    else:
        select(newobjlist)
    if len(newobjlist) == 1: return newobjlist[0]
    return newobjlist

def scale(objectslist,delta=Vector(1,1,1),center=Vector(0,0,0),copy=False,legacy=False):
    '''scale(objects,vector,[center,copy,legacy]): Scales the objects contained
    in objects (that can be a list of objects or an object) of the given scale
    factors defined by the given vector (in X, Y and Z directions) around
    given center. If legacy is True, direct (old) mode is used, otherwise
    a parametric copy is made. If copy is True, the actual objects are not moved,
    but copies are created instead. The objects (or their copies) are returned.'''
    if not isinstance(objectslist,list): objectslist = [objectslist]
    if legacy:
        newobjlist = []
        for obj in objectslist:
            if copy:
                newobj = makeCopy(obj)
            else:
                newobj = obj
            sh = obj.Shape.copy()
            m = FreeCAD.Matrix()
            m.scale(delta)
            sh = sh.transformGeometry(m)
            corr = Vector(center.x,center.y,center.z)
            corr.scale(delta.x,delta.y,delta.z)
            corr = (corr.sub(center)).negative()
            sh.translate(corr)
            if getType(obj) == "Rectangle":
                p = []
                for v in sh.Vertexes: p.append(v.Point)
                pl = obj.Placement.copy()
                pl.Base = p[0]
                diag = p[2].sub(p[0])
                bb = p[1].sub(p[0])
                bh = p[3].sub(p[0])
                nb = DraftVecUtils.project(diag,bb)
                nh = DraftVecUtils.project(diag,bh)
                if obj.Length < 0: l = -nb.Length
                else: l = nb.Length
                if obj.Height < 0: h = -nh.Length
                else: h = nh.Length
                newobj.Length = l
                newobj.Height = h
                tr = p[0].sub(obj.Shape.Vertexes[0].Point)
                newobj.Placement = pl
            elif getType(obj) == "Wire":
                p = []
                for v in sh.Vertexes: p.append(v.Point)
                #print(p)
                newobj.Points = p
            elif getType(obj) == "BSpline":
                p = []
                for p1 in obj.Points:
                    p2 = p1.sub(center)
                    p2.scale(delta.x,delta.y,delta.z)
                    p.append(p2)
                newobj.Points = p
            elif (obj.isDerivedFrom("Part::Feature")):
                newobj.Shape = sh
            elif (obj.TypeId == "App::Annotation"):
                factor = delta.x * delta.y * delta.z * obj.ViewObject.FontSize.Value
                obj.ViewObject.Fontsize = factor
            if copy: formatObject(newobj,obj)
            newobjlist.append(newobj)
        if copy and getParam("selectBaseObjects",False):
            select(objectslist)
        else:
            select(newobjlist)
        if len(newobjlist) == 1: return newobjlist[0]
        return newobjlist
    else:
        obj = FreeCAD.ActiveDocument.addObject("Part::FeaturePython","Scale")
        _Clone(obj)
        obj.Objects = objectslist
        obj.Scale = delta
        corr = Vector(center.x,center.y,center.z)
        corr.scale(delta.x,delta.y,delta.z)
        corr = (corr.sub(center)).negative()
        p = obj.Placement
        p.move(corr)
        obj.Placement = p
        if not copy:
            for o in objectslist:
                o.ViewObject.hide()
        if gui:
            _ViewProviderClone(obj.ViewObject)
            formatObject(obj,objectslist[-1])
            select(obj)
        return obj

def offset(obj,delta,copy=False,bind=False,sym=False,occ=False):
    '''offset(object,delta,[copymode],[bind]): offsets the given wire by
    applying the given delta Vector to its first vertex. If copymode is
    True, another object is created, otherwise the same object gets
    offsetted. If bind is True, and provided the wire is open, the original
    and the offsetted wires will be bound by their endpoints, forming a face
    if sym is True, bind must be true too, and the offset is made on both
    sides, the total width being the given delta length. If offsetting a
    BSpline, the delta must not be a Vector but a list of Vectors, one for
    each node of the spline.'''
    import Part, DraftGeomUtils
    newwire = None
    delete = None

    if getType(obj) in ["Sketch","Part"]:
        copy = True
        print("the offset tool is currently unable to offset a non-Draft object directly - Creating a copy")

    def getRect(p,obj):
        "returns length,heigh,placement"
        pl = obj.Placement.copy()
        pl.Base = p[0]
        diag = p[2].sub(p[0])
        bb = p[1].sub(p[0])
        bh = p[3].sub(p[0])
        nb = DraftVecUtils.project(diag,bb)
        nh = DraftVecUtils.project(diag,bh)
        if obj.Length.Value < 0: l = -nb.Length
        else: l = nb.Length
        if obj.Height.Value < 0: h = -nh.Length
        else: h = nh.Length
        return l,h,pl

    def getRadius(obj,delta):
        "returns a new radius for a regular polygon"
        an = math.pi/obj.FacesNumber
        nr = DraftVecUtils.rotate(delta,-an)
        nr.multiply(1/math.cos(an))
        nr = obj.Shape.Vertexes[0].Point.add(nr)
        nr = nr.sub(obj.Placement.Base)
        nr = nr.Length
        if obj.DrawMode == "inscribed":
            return nr
        else:
            return nr * math.cos(math.pi/obj.FacesNumber)

    if getType(obj) == "Circle":
        pass
    elif getType(obj) == "BSpline":
        pass
    else:
        if sym:
            d1 = Vector(delta).multiply(0.5)
            d2 = d1.negative()
            n1 = DraftGeomUtils.offsetWire(obj.Shape,d1)
            n2 = DraftGeomUtils.offsetWire(obj.Shape,d2)
        else:
            if isinstance(delta,float) and (len(obj.Shape.Edges) == 1):
                # circle
                c = obj.Shape.Edges[0].Curve
                nc = Part.Circle(c.Center,c.Axis,delta)
                if len(obj.Shape.Vertexes) > 1:
                    nc = Part.ArcOfCircle(nc,obj.Shape.Edges[0].FirstParameter,obj.Shape.Edges[0].LastParameter)
                newwire = Part.Wire(nc.toShape())
                p = []
            else:
                newwire = DraftGeomUtils.offsetWire(obj.Shape,delta)
                if DraftGeomUtils.hasCurves(newwire) and copy:
                    p = []
                else:
                    p = DraftGeomUtils.getVerts(newwire)
    if occ:
        newobj = FreeCAD.ActiveDocument.addObject("Part::Feature","Offset")
        newobj.Shape = DraftGeomUtils.offsetWire(obj.Shape,delta,occ=True)
        formatObject(newobj,obj)
        if not copy:
            delete = obj.Name
    elif bind:
        if not DraftGeomUtils.isReallyClosed(obj.Shape):
            if sym:
                s1 = n1
                s2 = n2
            else:
                s1 = obj.Shape
                s2 = newwire
            w1 = s1.Edges
            w2 = s2.Edges
            w3 = Part.Line(s1.Vertexes[0].Point,s2.Vertexes[0].Point).toShape()
            w4 = Part.Line(s1.Vertexes[-1].Point,s2.Vertexes[-1].Point).toShape()
            newobj = FreeCAD.ActiveDocument.addObject("Part::Feature","Offset")
            newobj.Shape = Part.Face(Part.Wire(w1+[w3]+w2+[w4]))
        else:
            newobj = FreeCAD.ActiveDocument.addObject("Part::Feature","Offset")
            newobj.Shape = Part.Face(obj.Shape.Wires[0])
        if not copy:
            delete = obj.Name
    elif copy:
        newobj = None
        if sym: return None
        if getType(obj) == "Wire":
            newobj = makeWire(p)
            newobj.Closed = obj.Closed
        elif getType(obj) == "Rectangle":
            length,height,plac = getRect(p,obj)
            newobj = makeRectangle(length,height,plac)
        elif getType(obj) == "Circle":
            pl = obj.Placement
            newobj = makeCircle(delta)
            newobj.FirstAngle = obj.FirstAngle
            newobj.LastAngle = obj.LastAngle
            newobj.Placement = pl
        elif getType(obj) == "Polygon":
            pl = obj.Placement
            newobj = makePolygon(obj.FacesNumber)
            newobj.Radius = getRadius(obj,delta)
            newobj.DrawMode = obj.DrawMode
            newobj.Placement = pl
        elif getType(obj) == "BSpline":
            newobj = makeBSpline(delta)
            newobj.Closed = obj.Closed
        else:
            # try to offset anyway
            try:
                if p:
                    newobj = makeWire(p)
                    newobj.Closed = obj.Shape.isClosed()
            except Part.OCCError:
                pass
            if not(newobj) and newwire:
                newobj = FreeCAD.ActiveDocument.addObject("Part::Feature","Offset")
                newobj.Shape = newwire
            else:
                print("Unable to create an offset")
        if newobj:
            formatObject(newobj,obj)
    else:
        newobj = None
        if sym: return None
        if getType(obj) == "Wire":
            if obj.Base or obj.Tool:
                FreeCAD.Console.PrintWarning("Warning: object history removed\n")
                obj.Base = None
                obj.Tool = None
            obj.Points = p
        elif getType(obj) == "BSpline":
            #print(delta)
            obj.Points = delta
            #print("done")
        elif getType(obj) == "Rectangle":
            length,height,plac = getRect(p,obj)
            obj.Placement = plac
            obj.Length = length
            obj.Height = height
        elif getType(obj) == "Circle":
            obj.Radius = delta
        elif getType(obj) == "Polygon":
            obj.Radius = getRadius(obj,delta)
        elif getType(obj) == 'Part':
            print("unsupported object") # TODO
        newobj = obj
    if copy and getParam("selectBaseObjects",False):
        select(newobj)
    else:
        select(obj)
    if delete:
        FreeCAD.ActiveDocument.removeObject(delete)
    return newobj

def draftify(objectslist,makeblock=False,delete=True):
    '''draftify(objectslist,[makeblock],[delete]): turns each object of the given list
    (objectslist can also be a single object) into a Draft parametric
    wire. If makeblock is True, multiple objects will be grouped in a block.
    If delete = False, old objects are not deleted'''
    import DraftGeomUtils, Part

    if not isinstance(objectslist,list):
        objectslist = [objectslist]
    newobjlist = []
    for obj in objectslist:
        if obj.isDerivedFrom('Part::Feature'):
            for w in obj.Shape.Wires:
                if DraftGeomUtils.hasCurves(w):
                    if (len(w.Edges) == 1) and (DraftGeomUtils.geomType(w.Edges[0]) == "Circle"):
                        nobj = makeCircle(w.Edges[0])
                    else:
                        nobj = FreeCAD.ActiveDocument.addObject("Part::Feature",obj.Name)
                        nobj.Shape = w
                else:
                    nobj = makeWire(w)
                newobjlist.append(nobj)
                formatObject(nobj,obj)
                # sketches are always in wireframe mode. In Draft we don't like that!
                nobj.ViewObject.DisplayMode = "Flat Lines"
            if delete:
                FreeCAD.ActiveDocument.removeObject(obj.Name)
    FreeCAD.ActiveDocument.recompute()
    if makeblock:
        return makeBlock(newobjlist)
    else:
        if len(newobjlist) == 1:
            return newobjlist[0]
        return newobjlist

def getDXF(obj,direction=None):
    '''getDXF(object,[direction]): returns a DXF entity from the given
    object. If direction is given, the object is projected in 2D.'''
    plane = None
    result = ""
    if obj.isDerivedFrom("Drawing::View") or obj.isDerivedFrom("TechDraw::DrawView"):
        if obj.Source.isDerivedFrom("App::DocumentObjectGroup"):
            for o in obj.Source.Group:
                result += getDXF(o,obj.Direction)
        else:
            result += getDXF(obj.Source,obj.Direction)
        return result
    if direction:
        if isinstance(direction,FreeCAD.Vector):
            if direction != Vector(0,0,0):
                plane = WorkingPlane.plane()
                plane.alignToPointAndAxis(Vector(0,0,0),direction)

    def getProj(vec):
        if not plane: return vec
        nx = DraftVecUtils.project(vec,plane.u)
        ny = DraftVecUtils.project(vec,plane.v)
        return Vector(nx.Length,ny.Length,0)

    if getType(obj) == "Dimension":
        p1 = getProj(obj.Start)
        p2 = getProj(obj.End)
        p3 = getProj(obj.Dimline)
        result += "0\nDIMENSION\n8\n0\n62\n0\n3\nStandard\n70\n1\n"
        result += "10\n"+str(p3.x)+"\n20\n"+str(p3.y)+"\n30\n"+str(p3.z)+"\n"
        result += "13\n"+str(p1.x)+"\n23\n"+str(p1.y)+"\n33\n"+str(p1.z)+"\n"
        result += "14\n"+str(p2.x)+"\n24\n"+str(p2.y)+"\n34\n"+str(p2.z)+"\n"

    elif getType(obj) == "Annotation":
        p = getProj(obj.Position)
        count = 0
        for t in obj.LabeLtext:
            result += "0\nTEXT\n8\n0\n62\n0\n"
            result += "10\n"+str(p.x)+"\n20\n"+str(p.y+count)+"\n30\n"+str(p.z)+"\n"
            result += "40\n1\n"
            result += "1\n"+str(t)+"\n"
            result += "7\nSTANDARD\n"
            count += 1

    elif obj.isDerivedFrom("Part::Feature"):
        # TODO do this the Draft way, for ex. using polylines and rectangles
        import Drawing
        if not direction:
            direction = FreeCAD.Vector(0,0,-1)
        if DraftVecUtils.isNull(direction):
            direction = FreeCAD.Vector(0,0,-1)
        try:
            d = Drawing.projectToDXF(obj.Shape,direction)
        except:
            print("Draft.getDXF: Unable to project ",obj.Label," to ",direction)
        else:
            result += d

    else:
        print("Draft.getDXF: Unsupported object: ",obj.Label)

    return result


def getSVG(obj,scale=1,linewidth=0.35,fontsize=12,fillstyle="shape color",direction=None,linestyle=None,color=None,linespacing=None,techdraw=False,rotation=0):
    '''getSVG(object,[scale], [linewidth],[fontsize],[fillstyle],[direction],[linestyle],[color],[linespacing]):
    returns a string containing a SVG representation of the given object,
    with the given linewidth and fontsize (used if the given object contains
    any text). You can also supply an arbitrary projection vector. the
    scale parameter allows to scale linewidths down, so they are resolution-independant.'''
    
    # if this is a group, gather all the svg views of its children
    if hasattr(obj,"isDerivedFrom"):
        if obj.isDerivedFrom("App::DocumentObjectGroup"):
            svg = ""
            for child in obj.Group:
                svg += getSVG(child,scale,linewidth,fontsize,fillstyle,direction,linestyle,color,linespacing,techdraw)
            return svg
    
    import Part, DraftGeomUtils
    pathdata = []
    svg = ""
    linewidth = float(linewidth)/scale
    fontsize = (float(fontsize)/scale)/2
    if linespacing:
        linespacing = float(linespacing)/scale
    else:
        linespacing = 0.5
    #print obj.Label," line spacing ",linespacing,"scale ",scale
    pointratio = .75 # the number of times the dots are smaller than the arrow size
    plane = None
    if direction:
        if isinstance(direction,FreeCAD.Vector):
            if direction != Vector(0,0,0):
                plane = WorkingPlane.plane()
                plane.alignToPointAndAxis_SVG(Vector(0,0,0),direction.negative().negative(),0)
        elif isinstance(direction,WorkingPlane.plane):
            plane = direction
    stroke = "#000000"
    if color:
        if "#" in color:
            stroke = color
        else:
            stroke = getrgb(color)
    elif gui:
        if hasattr(obj,"ViewObject"):
            if hasattr(obj.ViewObject,"LineColor"):
                stroke = getrgb(obj.ViewObject.LineColor)

    def getLineStyle():
        "returns a linestyle"
        p = FreeCAD.ParamGet("User parameter:BaseApp/Preferences/Mod/Draft")
        l = None
        if linestyle == "Dashed":
            l = p.GetString("svgDashedLine","0.09,0.05")
        elif linestyle == "Dashdot":
            l = p.GetString("svgDashdotLine","0.09,0.05,0.02,0.05")
        elif linestyle == "Dotted":
            l = p.GetString("svgDottedLine","0.02,0.02")
        elif linestyle:
            if "," in linestyle:
                l = linestyle
        if l:
            l = l.split(",")
            try:
                # scale dashes
                l = ",".join([str(float(d)/scale) for d in l])
                #print "lstyle ",l
            except:
                return "none"
            else:
                return l
        return "none"

    def getProj(vec):
        if not plane: return vec
        nx = DraftVecUtils.project(vec,plane.u)
        lx = nx.Length
        if abs(nx.getAngle(plane.u)) > 0.1: lx = -lx
        ny = DraftVecUtils.project(vec,plane.v)
        ly = ny.Length
        if abs(ny.getAngle(plane.v)) > 0.1: ly = -ly
        if techdraw:
            ly = -ly
        return Vector(lx,ly,0)

    def getPattern(pat):
        if pat in svgpatterns():
            return svgpatterns()[pat][0]
        return ''

    def getPath(edges=[],wires=[],pathname=None):
        import DraftGeomUtils
        svg = "<path "
        if pathname is None:
            svg += 'id="%s" ' % obj.Name
        elif pathname != "":
            svg += 'id="%s" ' % pathname
        svg += ' d="'
        if not wires:
            egroups = (Part.__sortEdges__(edges),)
        else:
            egroups = []
            for w in wires:
                w1=w.copy()
                w1.fixWire()
                egroups.append(Part.__sortEdges__(w1.Edges))
        for egroupindex, edges in enumerate(egroups):
            edata = ""
            vs=() #skipped for the first edge
            for edgeindex,e in enumerate(edges):
                previousvs = vs
                # vertexes of an edge (reversed if needed)
                vs = e.Vertexes
                if previousvs:
                    if (vs[0].Point-previousvs[-1].Point).Length > 1e-6:
                        vs.reverse()
                if edgeindex == 0:
                    v = getProj(vs[0].Point)
                    edata += 'M '+ str(v.x) +' '+ str(v.y) + ' '
                else:
                    if (vs[0].Point-previousvs[-1].Point).Length > 1e-6:
                        raise ValueError('edges not ordered')
                iscircle = DraftGeomUtils.geomType(e) == "Circle"
                isellipse = DraftGeomUtils.geomType(e) == "Ellipse"
                if iscircle or isellipse:
                    import math
                    if hasattr(FreeCAD,"DraftWorkingPlane"):
                        drawing_plane_normal = FreeCAD.DraftWorkingPlane.axis
                    else:
                        drawing_plane_normal = FreeCAD.Vector(0,0,1)
                    if plane: drawing_plane_normal = plane.axis
                    c = e.Curve
                    if round(c.Axis.getAngle(drawing_plane_normal),2) == 1.57:
                        # arc is perpendicular to view direction: represent as a line
                        v = getProj(vs[-1].Point)
                        edata += 'L '+ str(v.x) +' '+ str(v.y) + ' '
                    else:
                        if len(e.Vertexes) == 1 and iscircle: #complete curve
                            svg = getCircle(e)
                            return svg
                        elif len(e.Vertexes) == 1 and isellipse:
                            #svg = getEllipse(e)
                            #return svg
                            endpoints = (getProj(c.value((c.LastParameter-\
                                    c.FirstParameter)/2.0)), \
                                    getProj(vs[-1].Point))
                        else:
                            endpoints = (getProj(vs[-1].Point),)
    
                        # arc
                        if iscircle:
                            rx = ry = c.Radius
                            rot = 0
                        else: #ellipse
                            rx = c.MajorRadius
                            ry = c.MinorRadius
                            rot = math.degrees(c.AngleXU * (c.Axis * \
                                FreeCAD.Vector(0,0,1)))
                            if rot > 90:
                                rot -=180
                            if rot < -90:
                                rot += 180
                            #be carefull with the sweep flag
                        flag_large_arc = (((e.ParameterRange[1] - \
                                e.ParameterRange[0]) / math.pi) % 2) > 1
                        #flag_sweep = (c.Axis * drawing_plane_normal >= 0) \
                        #         == (e.LastParameter > e.FirstParameter)
                        #        == (e.Orientation == "Forward")
                        # other method: check the direction of the angle between tangents
                        t1 = e.tangentAt(e.FirstParameter)
                        t2 = e.tangentAt(e.FirstParameter + (e.LastParameter-e.FirstParameter)/10)
                        flag_sweep = (DraftVecUtils.angle(t1,t2,drawing_plane_normal) < 0)
                        for v in endpoints:
                            edata += 'A %s %s %s %s %s %s %s ' % \
                                    (str(rx),str(ry),str(rot),\
                                    str(int(flag_large_arc)),\
                                    str(int(flag_sweep)),str(v.x),str(v.y))
                elif DraftGeomUtils.geomType(e) == "Line":
                    v = getProj(vs[-1].Point)
                    edata += 'L '+ str(v.x) +' '+ str(v.y) + ' '
                else:
                    bspline=e.Curve.toBSpline(e.FirstParameter,e.LastParameter)
                    if bspline.Degree > 3 or bspline.isRational():
                        try:
                            bspline=bspline.approximateBSpline(0.05,50, 3,'C0')
                        except RuntimeError:
                            print("Debug: unable to approximate bspline")
                    if bspline.Degree <= 3 and not bspline.isRational():
                        for bezierseg in bspline.toBezier():
                            if bezierseg.Degree>3: #should not happen
                                raise AssertionError
                            elif bezierseg.Degree==1:
                                edata +='L '
                            elif bezierseg.Degree==2:
                                edata +='Q '
                            elif bezierseg.Degree==3:
                                edata +='C '
                            for pole in bezierseg.getPoles()[1:]:
                                v = getProj(pole)
                                edata += str(v.x) +' '+ str(v.y) + ' '
                    else:
                        print("Debug: one edge (hash ",e.hashCode(),\
                                ") has been discretized with parameter 0.1")
                        for linepoint in bspline.discretize(0.1)[1:]:
                            v = getProj(linepoint)
                            edata += 'L '+ str(v.x) +' '+ str(v.y) + ' '
            if fill != 'none': 
                edata += 'Z '
            if edata in pathdata:
                # do not draw a path on another identical path
                return ""
            else:
                svg += edata
                pathdata.append(edata)
        svg += '" '
        svg += 'stroke="' + stroke + '" '
        svg += 'stroke-width="' + str(linewidth) + ' px" '
        svg += 'style="stroke-width:'+ str(linewidth)
        svg += ';stroke-miterlimit:4'
        svg += ';stroke-dasharray:' + lstyle
        svg += ';fill:' + fill
        svg += ';fill-rule: evenodd "'
        svg += '/>\n'
        return svg

    def getCircle(edge):
        cen = getProj(edge.Curve.Center)
        rad = edge.Curve.Radius
        svg = '<circle cx="' + str(cen.x)
        svg += '" cy="' + str(cen.y)
        svg += '" r="' + str(rad)+'" '
        svg += 'stroke="' + stroke + '" '
        svg += 'stroke-width="' + str(linewidth) + ' px" '
        svg += 'style="stroke-width:'+ str(linewidth)
        svg += ';stroke-miterlimit:4'
        svg += ';stroke-dasharray:' + lstyle
        svg += ';fill:' + fill + '"'
        svg += '/>\n'
        return svg

    def getEllipse(edge):
        cen = getProj(edge.Curve.Center)
        mir = edge.Curve.MinorRadius
        mar = edge.Curve.MajorRadius
        svg = '<ellipse cx="' + str(cen.x)
        svg += '" cy="' + str(cen.y)
        svg += '" rx="' + str(mar)
        svg += '" ry="' + str(mir)+'" '
        svg += 'stroke="' + stroke + '" '
        svg += 'stroke-width="' + str(linewidth) + ' px" '
        svg += 'style="stroke-width:'+ str(linewidth)
        svg += ';stroke-miterlimit:4'
        svg += ';stroke-dasharray:' + lstyle
        svg += ';fill:' + fill + '"'
        svg += '/>\n'
        return svg

    def getArrow(arrowtype,point,arrowsize,color,linewidth,angle=0):
        svg = ""
        if obj.ViewObject.ArrowType == "Circle":
            svg += '<circle cx="'+str(point.x)+'" cy="'+str(point.y)
            svg += '" r="'+str(arrowsize)+'" '
            svg += 'fill="none" stroke="'+ color + '" '
            svg += 'style="stroke-width:'+ str(linewidth) + ';stroke-miterlimit:4;stroke-dasharray:none" '
            svg += 'freecad:skip="1"'
            svg += '/>\n'
        elif obj.ViewObject.ArrowType == "Dot":
            svg += '<circle cx="'+str(point.x)+'" cy="'+str(point.y)
            svg += '" r="'+str(arrowsize)+'" '
            svg += 'fill="'+ color +'" stroke="none" '
            svg += 'style="stroke-miterlimit:4;stroke-dasharray:none" '
            svg += 'freecad:skip="1"'
            svg += '/>\n'
        elif obj.ViewObject.ArrowType == "Arrow":
            svg += '<path transform="rotate('+str(math.degrees(angle))
            svg += ','+ str(point.x) + ',' + str(point.y) + ') '
            svg += 'translate(' + str(point.x) + ',' + str(point.y) + ') '
            svg += 'scale('+str(arrowsize)+','+str(arrowsize)+')" freecad:skip="1" '
            svg += 'fill="'+ color +'" stroke="none" '
            svg += 'style="stroke-miterlimit:4;stroke-dasharray:none" '
            svg += 'd="M 0 0 L 4 1 L 4 -1 Z"/>\n'
        elif obj.ViewObject.ArrowType == "Tick":
            svg += '<path transform="rotate('+str(math.degrees(angle))
            svg += ','+ str(point.x) + ',' + str(point.y) + ') '
            svg += 'translate(' + str(point.x) + ',' + str(point.y) + ') '
            svg += 'scale('+str(arrowsize)+','+str(arrowsize)+')" freecad:skip="1" '
            svg += 'fill="'+ color +'" stroke="none" '
            svg += 'style="stroke-miterlimit:4;stroke-dasharray:none" '
            svg += 'd="M -1 -2 L 0 2 L 1 2 L 0 -2 Z"/>\n'
        else:
            print("getSVG: arrow type not implemented")
        return svg

    def getText(color,fontsize,fontname,angle,base,text,linespacing=0.5,align="center",flip=True):
        if not isinstance(text,list):
            text = text.split("\n")
        if align.lower() == "center":
            anchor = "middle"
        elif align.lower() == "left":
            anchor = "start"
        else:
            anchor = "end"
        if techdraw:
            svg = ""
            for i in range(len(text)):
                t = text[i]
                if not isinstance(t,unicode):
                    t = t.decode("utf8")
                # possible workaround if UTF8 is unsupported
                #    import unicodedata
                #    t = u"".join([c for c in unicodedata.normalize("NFKD",t) if not unicodedata.combining(c)]).encode("utf8")
                svg += '<text fill="' + color +'" font-size="' + str(fontsize) + '" '
                svg += 'style="text-anchor:'+anchor+';text-align:'+align.lower()+';'
                svg += 'font-family:'+ fontname +'" '
                svg += 'transform="rotate('+str(math.degrees(angle))
                svg += ','+ str(base.x) + ',' + str(base.y+linespacing*i) + ') '
                svg += 'translate(' + str(base.x) + ',' + str(base.y+linespacing*i) + ')" '
                #svg += '" freecad:skip="1"'
                svg += '>\n' + t + '</text>\n'
        else:            
            svg = '<text fill="'
            svg += color +'" font-size="'
            svg += str(fontsize) + '" '
            svg += 'style="text-anchor:'+anchor+';text-align:'+align.lower()+';'
            svg += 'font-family:'+ fontname +'" '
            svg += 'transform="rotate('+str(math.degrees(angle))
            svg += ','+ str(base.x) + ',' + str(base.y) + ') '
            if flip:
                svg += 'translate(' + str(base.x) + ',' + str(base.y) + ')'
            else:
                svg += 'translate(' + str(base.x) + ',' + str(-base.y) + ')'
            #svg += 'scale('+str(tmod/2000)+',-'+str(tmod/2000)+') '
            if flip and (not techdraw):
                svg += ' scale(1,-1) '
            else:
                svg += ' scale(1,1) '
            svg += '" freecad:skip="1"'
            svg += '>\n'
            if len(text) == 1:
                try:
                    svg += text[0]
                except:
                    svg += text[0].decode("utf8")
            else:
                for i in range(len(text)):
                    if i == 0:
                        svg += '<tspan>'
                    else:
                        svg += '<tspan x="0" dy="'+str(linespacing)+'">'
                    try:
                        svg += text[i]
                    except:
                        svg += text[i].decode("utf8")
                    svg += '</tspan>\n'
            svg += '</text>\n'
        return svg


    if not obj:
        pass

    elif isinstance(obj,Part.Shape):
        if "#" in fillstyle:
            fill = fillstyle
        elif fillstyle == "shape color":
            fill = "#888888"
        else:
            fill = 'url(#'+fillstyle+')'
        lstyle = getLineStyle()
        svg += getPath(obj.Edges,pathname="")


    elif getType(obj) == "Dimension":
        if obj.ViewObject.Proxy:
            if hasattr(obj.ViewObject.Proxy,"p1"):
                prx = obj.ViewObject.Proxy
                ts = (len(prx.string)*obj.ViewObject.FontSize.Value)/4.0
                rm = ((prx.p3.sub(prx.p2)).Length/2.0)-ts
                p2a = getProj(prx.p2.add(DraftVecUtils.scaleTo(prx.p3.sub(prx.p2),rm)))
                p2b = getProj(prx.p3.add(DraftVecUtils.scaleTo(prx.p2.sub(prx.p3),rm)))
                p1 = getProj(prx.p1)
                p2 = getProj(prx.p2)
                p3 = getProj(prx.p3)
                p4 = getProj(prx.p4)
                tbase = getProj(prx.tbase)
                r = prx.textpos.rotation.getValue().getValue()
                rv = FreeCAD.Rotation(r[0],r[1],r[2],r[3]).multVec(FreeCAD.Vector(1,0,0))
                angle = -DraftVecUtils.angle(getProj(rv))
                #angle = -DraftVecUtils.angle(p3.sub(p2))

                # drawing lines
                svg = '<path '
                if obj.ViewObject.DisplayMode == "2D":
                    tangle = angle
                    if tangle > math.pi/2:
                        tangle = tangle-math.pi
                    #elif (tangle <= -math.pi/2) or (tangle > math.pi/2):
                    #    tangle = tangle+math.pi
                    #tbase = tbase.add(DraftVecUtils.rotate(Vector(0,2/scale,0),tangle))
                    svg += 'd="M '+str(p1.x)+' '+str(p1.y)+' '
                    svg += 'L '+str(p2.x)+' '+str(p2.y)+' '
                    svg += 'L '+str(p3.x)+' '+str(p3.y)+' '
                    svg += 'L '+str(p4.x)+' '+str(p4.y)+'" '
                else:
                    tangle = 0
                    tbase = tbase.add(Vector(0,-2.0/scale,0))
                    svg += 'd="M '+str(p1.x)+' '+str(p1.y)+' '
                    svg += 'L '+str(p2.x)+' '+str(p2.y)+' '
                    svg += 'L '+str(p2a.x)+' '+str(p2a.y)+' '
                    svg += 'M '+str(p2b.x)+' '+str(p2b.y)+' '
                    svg += 'L '+str(p3.x)+' '+str(p3.y)+' '
                    svg += 'L '+str(p4.x)+' '+str(p4.y)+'" '

                svg += 'fill="none" stroke="'
                svg += stroke + '" '
                svg += 'stroke-width="' + str(linewidth) + ' px" '
                svg += 'style="stroke-width:'+ str(linewidth)
                svg += ';stroke-miterlimit:4;stroke-dasharray:none" '
                svg += 'freecad:basepoint1="'+str(p1.x)+' '+str(p1.y)+'" '
                svg += 'freecad:basepoint2="'+str(p4.x)+' '+str(p4.y)+'" '
                svg += 'freecad:dimpoint="'+str(p2.x)+' '+str(p2.y)+'"'
                svg += '/>\n'

                # drawing arrows
                if hasattr(obj.ViewObject,"ArrowType"):
                    arrowsize = obj.ViewObject.ArrowSize.Value/pointratio
                    if hasattr(obj.ViewObject,"FlipArrows"):
                        if obj.ViewObject.FlipArrows:
                            angle = angle+math.pi
                    svg += getArrow(obj.ViewObject.ArrowType,p2,arrowsize,stroke,linewidth,angle)
                    svg += getArrow(obj.ViewObject.ArrowType,p3,arrowsize,stroke,linewidth,angle+math.pi)

                # drawing text
                svg += getText(stroke,fontsize,obj.ViewObject.FontName,tangle,tbase,prx.string)

    elif getType(obj) == "AngularDimension":
        if obj.ViewObject.Proxy:
            if hasattr(obj.ViewObject.Proxy,"circle"):
                prx = obj.ViewObject.Proxy

                # drawing arc
                fill= "none"
                lstyle = getLineStyle()
                if obj.ViewObject.DisplayMode == "2D":
                    svg += getPath([prx.circle])
                else:
                    if hasattr(prx,"circle1"):
                        svg += getPath([prx.circle1])
                        svg += getPath([prx.circle2])
                    else:
                        svg += getPath([prx.circle])

                # drawing arrows
                if hasattr(obj.ViewObject,"ArrowType"):
                    p2 = getProj(prx.p2)
                    p3 = getProj(prx.p3)
                    arrowsize = obj.ViewObject.ArrowSize.Value/pointratio
                    arrowlength = 4*obj.ViewObject.ArrowSize.Value
                    u1 = getProj((prx.circle.valueAt(prx.circle.FirstParameter+arrowlength)).sub(prx.circle.valueAt(prx.circle.FirstParameter)))
                    u2 = getProj((prx.circle.valueAt(prx.circle.LastParameter-arrowlength)).sub(prx.circle.valueAt(prx.circle.LastParameter)))
                    angle1 = -DraftVecUtils.angle(u1)
                    angle2 = -DraftVecUtils.angle(u2)
                    if hasattr(obj.ViewObject,"FlipArrows"):
                        if obj.ViewObject.FlipArrows:
                            angle1 = angle1+math.pi
                            angle2 = angle2+math.pi
                    svg += getArrow(obj.ViewObject.ArrowType,p2,arrowsize,stroke,linewidth,angle1)
                    svg += getArrow(obj.ViewObject.ArrowType,p3,arrowsize,stroke,linewidth,angle2)

                # drawing text
                if obj.ViewObject.DisplayMode == "2D":
                    t = prx.circle.tangentAt(prx.circle.FirstParameter+(prx.circle.LastParameter-prx.circle.FirstParameter)/2.0)
                    t = getProj(t)
                    tangle = DraftVecUtils.angle(t)
                    if (tangle <= -math.pi/2) or (tangle > math.pi/2):
                        tangle = tangle + math.pi
                    tbase = getProj(prx.circle.valueAt(prx.circle.FirstParameter+(prx.circle.LastParameter-prx.circle.FirstParameter)/2.0))
                    tbase = tbase.add(DraftVecUtils.rotate(Vector(0,2.0/scale,0),tangle))
                    #print(tbase)
                else:
                    tangle = 0
                    tbase = getProj(prx.tbase)
                svg += getText(stroke,fontsize,obj.ViewObject.FontName,tangle,tbase,prx.string)

    elif getType(obj) == "Annotation":
        "returns an svg representation of a document annotation"
        n = obj.ViewObject.FontName
        a = obj.ViewObject.Rotation.getValueAs("rad")
        t = obj.LabelText
        j = obj.ViewObject.Justification
        svg += getText(stroke,fontsize,n,a,getProj(obj.Position),t,linespacing,j)

    elif getType(obj) == "Axis":
        "returns the SVG representation of an Arch Axis system"
        vobj = obj.ViewObject
        lorig = getLineStyle()
        fill = 'none'
        rad = vobj.BubbleSize.Value/2
        n = 0
        for e in obj.Shape.Edges:
            lstyle = lorig
            svg += getPath([e])
            lstyle = "none"
            pos = ["Start"]
            if hasattr(vobj,"BubblePosition"):
                if vobj.BubblePosition == "Both":
                    pos = ["Start","End"]
                else:
                    pos = [vobj.BubblePosition]
            for p in pos:
                if p == "Start":
                    p1 = e.Vertexes[0].Point
                    p2 = e.Vertexes[1].Point
                else:
                    p1 = e.Vertexes[1].Point
                    p2 = e.Vertexes[0].Point
                dv = p2.sub(p1)
                dv.normalize()
                center = p2.add(dv.scale(rad,rad,rad))
                svg += getCircle(Part.makeCircle(rad,center))
                if hasattr(vobj.Proxy,"bubbletexts"):
                    if len (vobj.Proxy.bubbletexts) >= n:
                        svg += '<text fill="' + stroke + '" '
                        svg += 'font-size="' + str(rad) + '" '
                        svg += 'style="text-anchor:middle;'
                        svg += 'text-align:center;'
                        svg += 'font-family: sans;" '
                        svg += 'transform="translate(' + str(center.x+rad/4.0) + ',' + str(center.y-rad/3.0) + ') '
                        svg += 'scale(1,-1)"> '
                        svg += '<tspan>' + obj.ViewObject.Proxy.bubbletexts[n].string.getValues()[0] + '</tspan>\n'
                        svg += '</text>\n'
                        n += 1

    elif getType(obj) == "Space":
        "returns an SVG fragment for the text of a space"
        c = getrgb(obj.ViewObject.TextColor)
        n = obj.ViewObject.FontName
        a = 0
        if rotation != 0:
            a = -math.radians(rotation)
        t1 = obj.ViewObject.Proxy.text1.string.getValues()
        t2 = obj.ViewObject.Proxy.text2.string.getValues()
        scale = obj.ViewObject.FirstLine.Value/obj.ViewObject.FontSize.Value
        f1 = fontsize*scale
        p2 = FreeCAD.Vector(obj.ViewObject.Proxy.coords.translation.getValue().getValue())
        lspc = FreeCAD.Vector(obj.ViewObject.Proxy.header.translation.getValue().getValue())
        p1 = p2.add(lspc)
        j = obj.ViewObject.TextAlign
        svg += getText(c,f1,n,a,getProj(p1),t1,linespacing,j,flip=True)
        if t2:
            ofs = FreeCAD.Vector(0,lspc.Length,0)
            if a:
                ofs = FreeCAD.Rotation(FreeCAD.Vector(0,0,1),-rotation).multVec(ofs)
            svg += getText(c,fontsize,n,a,getProj(p1).add(ofs),t2,linespacing,j,flip=True)

    elif obj.isDerivedFrom('Part::Feature'):
        if obj.Shape.isNull():
            return ''
        # setting fill
        if obj.Shape.Faces:
            if gui:
                try:
                    m = obj.ViewObject.DisplayMode
                except AttributeError:
                    m = None
                if (m != "Wireframe"):
                    if fillstyle == "shape color":
                        fill = getrgb(obj.ViewObject.ShapeColor,testbw=False)
                    else:
                        fill = 'url(#'+fillstyle+')'
                        svg += getPattern(fillstyle)
                else:
                    fill = "none"
            else:
                fill = "#888888"
        else:
            fill = 'none'
        lstyle = getLineStyle()

        if len(obj.Shape.Vertexes) > 1:
            wiredEdges = []
            if obj.Shape.Faces:
                for i,f in enumerate(obj.Shape.Faces):
                    svg += getPath(wires=f.Wires,pathname='%s_f%04d' % \
                            (obj.Name,i))
                    wiredEdges.extend(f.Edges)
            else:
                for i,w in enumerate(obj.Shape.Wires):
                    svg += getPath(w.Edges,pathname='%s_w%04d' % \
                            (obj.Name,i))
                    wiredEdges.extend(w.Edges)
            if len(wiredEdges) != len(obj.Shape.Edges):
                for i,e in enumerate(obj.Shape.Edges):
                    if (DraftGeomUtils.findEdge(e,wiredEdges) == None):
                        svg += getPath([e],pathname='%s_nwe%04d' % \
                                (obj.Name,i))
        else:
            # closed circle or spline
            if obj.Shape.Edges:
                if isinstance(obj.Shape.Edges[0].Curve,Part.Circle):
                    svg = getCircle(obj.Shape.Edges[0])
                else:
                    svg = getPath(obj.Shape.Edges)
        if FreeCAD.GuiUp:
            if hasattr(obj.ViewObject,"EndArrow") and hasattr(obj.ViewObject,"ArrowType") and (len(obj.Shape.Vertexes) > 1):
                if obj.ViewObject.EndArrow:
                    p1 = getProj(obj.Shape.Vertexes[-2].Point)
                    p2 = getProj(obj.Shape.Vertexes[-1].Point)
                    angle = -DraftVecUtils.angle(p2.sub(p1))
                    arrowsize = obj.ViewObject.ArrowSize.Value/pointratio
                    svg += getArrow(obj.ViewObject.ArrowType,p2,arrowsize,stroke,linewidth,angle)
    return svg

def getrgb(color,testbw=True):
    """getRGB(color,[testbw]): returns a rgb value #000000 from a freecad color
    if testwb = True (default), pure white will be converted into pure black"""
    r = str(hex(int(color[0]*255)))[2:].zfill(2)
    g = str(hex(int(color[1]*255)))[2:].zfill(2)
    b = str(hex(int(color[2]*255)))[2:].zfill(2)
    col = "#"+r+g+b
    if testbw:
        if col == "#ffffff":
            #print(getParam('SvgLinesBlack'))
            if getParam('SvgLinesBlack',True):
                col = "#000000"
    return col

def makeDrawingView(obj,page,lwmod=None,tmod=None,otherProjection=None):
    '''
    makeDrawingView(object,page,[lwmod,tmod]) - adds a View of the given object to the
    given page. lwmod modifies lineweights (in percent), tmod modifies text heights
    (in percent). The Hint scale, X and Y of the page are used.
    '''
    if getType(obj) == "SectionPlane":
        import ArchSectionPlane
        viewobj = FreeCAD.ActiveDocument.addObject("Drawing::FeatureViewPython","View")
        page.addObject(viewobj)
        ArchSectionPlane._ArchDrawingView(viewobj)
        viewobj.Source = obj
        viewobj.Label = "View of "+obj.Name
    elif getType(obj) == "Panel":
        import ArchPanel
        viewobj = ArchPanel.makePanelView(obj,page)
    else:
        viewobj = FreeCAD.ActiveDocument.addObject("Drawing::FeatureViewPython","View"+obj.Name)
        _DrawingView(viewobj)
        page.addObject(viewobj)
        if (otherProjection):
            if hasattr(otherProjection,"Scale"):
                viewobj.Scale = otherProjection.Scale
            if hasattr(otherProjection,"X"):
                viewobj.X = otherProjection.X
            if hasattr(otherProjection,"Y"):
                viewobj.Y = otherProjection.Y
            if hasattr(otherProjection,"Rotation"):
                viewobj.Rotation = otherProjection.Rotation
            if hasattr(otherProjection,"Direction"):
                viewobj.Direction = otherProjection.Direction
        else:
            if hasattr(page.ViewObject,"HintScale"):
                viewobj.Scale = page.ViewObject.HintScale
            if hasattr(page.ViewObject,"HintOffsetX"):
                viewobj.X = page.ViewObject.HintOffsetX
            if hasattr(page.ViewObject,"HintOffsetY"):
                viewobj.Y = page.ViewObject.HintOffsetY
        viewobj.Source = obj
        if lwmod: viewobj.LineweightModifier = lwmod
        if tmod: viewobj.TextModifier = tmod
        if hasattr(obj.ViewObject,"Pattern"):
            if str(obj.ViewObject.Pattern) in list(svgpatterns().keys()):
                viewobj.FillStyle = str(obj.ViewObject.Pattern)
        if hasattr(obj.ViewObject,"DrawStyle"):
            viewobj.LineStyle = obj.ViewObject.DrawStyle
        if hasattr(obj.ViewObject,"LineColor"):
            viewobj.LineColor = obj.ViewObject.LineColor
        elif hasattr(obj.ViewObject,"TextColor"):
            viewobj.LineColor = obj.ViewObject.TextColor
    return viewobj

def makeShape2DView(baseobj,projectionVector=None,facenumbers=[]):
    '''
    makeShape2DView(object,[projectionVector,facenumbers]) - adds a 2D shape to the document, which is a
    2D projection of the given object. A specific projection vector can also be given. You can also
    specify a list of face numbers to be considered in individual faces mode.
    '''
    obj = FreeCAD.ActiveDocument.addObject("Part::Part2DObjectPython","Shape2DView")
    _Shape2DView(obj)
    if gui:
        _ViewProviderDraftAlt(obj.ViewObject)
    obj.Base = baseobj
    if projectionVector:
        obj.Projection = projectionVector
    if facenumbers:
        obj.FaceNumbers = facenumbers
    select(obj)
    FreeCAD.ActiveDocument.recompute()
    return obj

def makeSketch(objectslist,autoconstraints=False,addTo=None,delete=False,name="Sketch"):
    '''makeSketch(objectslist,[autoconstraints],[addTo],[delete],[name]): makes a Sketch
    objectslist with the given Draft objects. If autoconstraints is True,
    constraints will be automatically added to wire nodes, rectangles
    and circles. If addTo is an existing sketch, geometry will be added to it instead of
    creating a new one. If delete is True, the original object will be deleted'''
    import Part, DraftGeomUtils
    from Sketcher import Constraint
    import Sketcher
    from DraftTools import translate
    import math

    StartPoint = 1
    EndPoint = 2
    MiddlePoint = 3
    deletable = None

    if not isinstance(objectslist,list):
        objectslist = [objectslist]
    for obj in objectslist:
        if not DraftGeomUtils.isPlanar(obj.Shape):
            FreeCAD.Console.PrintError(translate("draft","All Shapes must be co-planar"))
            return None
    if addTo:
        nobj = addTo
    else:
        nobj = FreeCAD.ActiveDocument.addObject("Sketcher::SketchObject", "Sketch")
        deletable = nobj
        nobj.ViewObject.Autoconstraints = False

    rotation = None
    for obj in objectslist:
        ok = False
        tp = getType(obj)
        if tp in ["BSpline","BezCurve"]:
            FreeCAD.Console.PrintError(translate("draft","BSplines and Bezier curves are not supported by this tool"))
            if deletable: FreeCAD.ActiveDocument.removeObject(deletable.Name)
            return None
        elif tp in ["Circle","Ellipse"]:
            if rotation is None:
                rotation = obj.Placement.Rotation
            edge = obj.Shape.Edges[0]
            if len(edge.Vertexes) == 1:
                newEdge = DraftGeomUtils.orientEdge(edge)
                nobj.addGeometry(newEdge)
            else:
                # make new ArcOfCircle
                circle = DraftGeomUtils.orientEdge(edge)
                angle  = edge.Placement.Rotation.Angle
                axis   = edge.Placement.Rotation.Axis
                circle.Center = DraftVecUtils.rotate(edge.Curve.Center, -angle, axis)
                first  = math.radians(obj.FirstAngle)
                last   = math.radians(obj.LastAngle)
                arc    = Part.ArcOfCircle(circle, first, last)
                nobj.addGeometry(arc)

            # TODO add Radius constraits
            ok = True
        elif tp == "Rectangle":
            if rotation is None:
                rotation = obj.Placement.Rotation
            if obj.FilletRadius.Value == 0:
                for edge in obj.Shape.Edges:
                    nobj.addGeometry(DraftGeomUtils.orientEdge(edge))
                if autoconstraints:
                    last = nobj.GeometryCount - 1
                    segs = [last-3,last-2,last-1,last]
                    if obj.Placement.Rotation.Q == (0,0,0,1):
                        nobj.addConstraint(Constraint("Coincident",last-3,EndPoint,last-2,StartPoint))
                        nobj.addConstraint(Constraint("Coincident",last-2,EndPoint,last-1,StartPoint))
                        nobj.addConstraint(Constraint("Coincident",last-1,EndPoint,last,StartPoint))
                        nobj.addConstraint(Constraint("Coincident",last,EndPoint,last-3,StartPoint))
                    nobj.addConstraint(Constraint("Horizontal",last-3))
                    nobj.addConstraint(Constraint("Vertical",last-2))
                    nobj.addConstraint(Constraint("Horizontal",last-1))
                    nobj.addConstraint(Constraint("Vertical",last))
                ok = True
        elif tp in ["Wire","Polygon"]:
            if obj.FilletRadius.Value == 0:
                closed = False
                if tp == "Polygon":
                    closed = True
                elif hasattr(obj,"Closed"):
                    closed = obj.Closed

                if len(obj.Shape.Vertexes) < 3:
                    FreeCAD.Console.PrintError(translate("draft","Need at least 3 points in order to convert to Sketch"))
                    return None

                # Use the first three points to make a working plane. We've already
                # checked to make sure everything is coplanar
                plane = Part.Plane(*[i.Point for i in obj.Shape.Vertexes[:3]])
                normal = plane.Axis

                if rotation is None:
                    axis = FreeCAD.Vector(0,0,1).cross(normal)
                    angle = DraftVecUtils.angle(normal, FreeCAD.Vector(0,0,1)) * FreeCAD.Units.Radian
                    rotation = FreeCAD.Rotation(axis, angle)
                for edge in obj.Shape.Edges:
                    # edge.rotate(FreeCAD.Vector(0,0,0), rotAxis, rotAngle)
                    edge = DraftGeomUtils.orientEdge(edge, normal)
                    nobj.addGeometry(edge)
                if autoconstraints:
                    last = nobj.GeometryCount
                    segs = list(range(last-len(obj.Shape.Edges),last-1))
                    for seg in segs:
                        nobj.addConstraint(Constraint("Coincident",seg,EndPoint,seg+1,StartPoint))
                        if DraftGeomUtils.isAligned(nobj.Geometry[seg],"x"):
                            nobj.addConstraint(Constraint("Vertical",seg))
                        elif DraftGeomUtils.isAligned(nobj.Geometry[seg],"y"):
                            nobj.addConstraint(Constraint("Horizontal",seg))
                    if closed:
                        nobj.addConstraint(Constraint("Coincident",last-1,EndPoint,segs[0],StartPoint))
                ok = True
        elif obj.isDerivedFrom("Part::Feature"):
            if rotation is None:
                rotation = obj.Placement.Rotation
            if not DraftGeomUtils.isPlanar(obj.Shape):
                FreeCAD.Console.PrintError(translate("draft","The given object is not planar and cannot be converted into a sketch."))
                return None
            for e in obj.Shape.Edges:
                if DraftGeomUtils.geomType(e) in ["BSplineCurve","BezierCurve"]:
                    FreeCAD.Console.PrintError(translate("draft","BSplines and Bezier curves are not supported by this tool"))
                    return None
            # if not addTo:
                # nobj.Placement.Rotation = DraftGeomUtils.calculatePlacement(obj.Shape).Rotation
            for edge in obj.Shape.Edges:
                nobj.addGeometry(DraftGeomUtils.orientEdge(edge))
            ok = True
        formatObject(nobj,obj)
        if ok and delete:
            FreeCAD.ActiveDocument.removeObject(obj.Name)
    if not rotation is None:
        nobj.Placement.Rotation = rotation
    else:
        print("-----error!!! rotation is still None...")
    FreeCAD.ActiveDocument.recompute()
    return nobj

def makePoint(X=0, Y=0, Z=0,color=None,name = "Point", point_size= 5):
    ''' makePoint(x,y,z ,[color(r,g,b),point_size]) or
        makePoint(Vector,color(r,g,b),point_size]) -
        creates a Point in the current document.
        example usage:
        p1 = makePoint()
        p1.ViewObject.Visibility= False # make it invisible
        p1.ViewObject.Visibility= True  # make it visible
        p1 = makePoint(-1,0,0) #make a point at -1,0,0
        p1 = makePoint(1,0,0,(1,0,0)) # color = red
        p1.X = 1 #move it in x
        p1.ViewObject.PointColor =(0.0,0.0,1.0) #change the color-make sure values are floats
    '''
    obj=FreeCAD.ActiveDocument.addObject("Part::FeaturePython",name)
    if isinstance(X,FreeCAD.Vector):
        Z = X.z
        Y = X.y
        X = X.x
    _Point(obj,X,Y,Z)
    obj.X = X
    obj.Y = Y
    obj.Z = Z
    if gui:
        _ViewProviderPoint(obj.ViewObject)
        if not color:
            color = FreeCADGui.draftToolBar.getDefaultColor('ui')
        obj.ViewObject.PointColor = (float(color[0]), float(color[1]), float(color[2]))
        obj.ViewObject.PointSize = point_size
        obj.ViewObject.Visibility = True
    FreeCAD.ActiveDocument.recompute()
    return obj

def makeShapeString(String,FontFile,Size = 100,Tracking = 0):
    '''ShapeString(Text,FontFile,Height,Track): Turns a text string
    into a Compound Shape'''
    obj = FreeCAD.ActiveDocument.addObject("Part::Part2DObjectPython","ShapeString")
    _ShapeString(obj)
    obj.String = String
    obj.FontFile = FontFile
    obj.Size = Size
    obj.Tracking = Tracking

    if gui:
        _ViewProviderDraft(obj.ViewObject)
        formatObject(obj)
        obrep = obj.ViewObject
        if "PointSize" in obrep.PropertiesList: obrep.PointSize = 1             # hide the segment end points
        select(obj)
    FreeCAD.ActiveDocument.recompute()
    return obj

def clone(obj,delta=None):
    '''clone(obj,[delta]): makes a clone of the given object(s). The clone is an exact,
    linked copy of the given object. If the original object changes, the final object
    changes too. Optionally, you can give a delta Vector to move the clone from the
    original position.'''
    prefix = getParam("ClonePrefix","Clone of")
    if prefix:
        prefix = prefix.strip()+" "
    if not isinstance(obj,list):
        obj = [obj]
    if (len(obj) == 1) and obj[0].isDerivedFrom("Part::Part2DObject"):
        cl = FreeCAD.ActiveDocument.addObject("Part::Part2DObjectPython","Clone2D")
        cl.Label = prefix + obj[0].Label + " (2D)"
    elif (len(obj) == 1) and hasattr(obj[0],"CloneOf"):
        # arch objects can be clones
        import Arch
        cl = getattr(Arch,"make"+obj[0].Proxy.Type)()
        base = getCloneBase(obj[0])
        cl.Label = prefix + base.Label
        cl.CloneOf = base
        cl.Placement = obj[0].Placement
        try:
            cl.Role = base.Role
        except:
            pass
        return cl
    else:
        cl = FreeCAD.ActiveDocument.addObject("Part::AttachableObjectPython","Clone")
        cl.Label = prefix + obj[0].Label
    _Clone(cl)
    if gui:
        _ViewProviderClone(cl.ViewObject)
    cl.Objects = obj
    if delta:
        cl.Placement.move(delta)
    elif len(obj) == 1:
        cl.Placement = obj[0].Placement
    formatObject(cl,obj[0])
    return cl

def getCloneBase(obj,strict=False):
    '''getCloneBase(obj,[strict]): returns the object cloned by this object, if
    any, or this object if it is no clone. If strict is True, if this object is
    not a clone, this function returns False'''
    if hasattr(obj,"CloneOf"):
        if obj.CloneOf:
            return getCloneBase(obj.CloneOf)
    if getType(obj) == "Clone":
        return obj.Objects[0]
    if strict:
        return False
    return obj


def mirror(objlist,p1,p2):
    '''mirror(objlist,p1,p2,[clone]): creates a mirrored version of the given object(s)
    along an axis that passes through the two vectors p1 and p2.'''

    if not objlist:
        FreeCAD.Console.PrintError(translate("draft","No object given\n"))
        return
    if p1 == p2:
        FreeCAD.Console.PrintError(translate("draft","The two points are coincident\n"))
        return
    if not isinstance(objlist,list):
        objlist = [objlist]

    result = []

    for obj in objlist:
        mir = FreeCAD.ActiveDocument.addObject("Part::Mirroring","mirror")
        mir.Label = "Mirror of "+obj.Label
        mir.Source = obj
        if gui:
            norm = FreeCADGui.ActiveDocument.ActiveView.getViewDirection().negative()
        else:
            norm = FreeCAD.Vector(0,0,1)
        pnorm = p2.sub(p1).cross(norm).normalize()
        mir.Base = p1
        mir.Normal = pnorm
        formatObject(mir,obj)
        result.append(mir)

    if len(result) == 1:
        result = result[0]
    return result


def heal(objlist=None,delete=True,reparent=True):
    '''heal([objlist],[delete],[reparent]) - recreates Draft objects that are damaged,
    for example if created from an earlier version. If delete is True,
    the damaged objects are deleted (default). If ran without arguments, all the objects
    in the document will be healed if they are damaged. If reparent is True (default),
    new objects go at the very same place in the tree than their original.'''

    auto = False

    if not objlist:
        objlist = FreeCAD.ActiveDocument.Objects
        print("Automatic mode: Healing whole document...")
        auto = True
    else:
        print("Manual mode: Force-healing selected objects...")

    if not isinstance(objlist,list):
        objlist = [objlist]

    dellist = []
    got = False

    for obj in objlist:
        dtype = getType(obj)
        ftype = obj.TypeId
        if ftype in ["Part::FeaturePython","App::FeaturePython","Part::Part2DObjectPython","Drawing::FeatureViewPython"]:
            proxy = obj.Proxy
            if hasattr(obj,"ViewObject"):
                if hasattr(obj.ViewObject,"Proxy"):
                    proxy = obj.ViewObject.Proxy
            if (proxy == 1) or (dtype in ["Unknown","Part"]) or (not auto):
                got = True
                dellist.append(obj.Name)
                props = obj.PropertiesList
                if ("Dimline" in props) and ("Start" in props):
                    print("Healing " + obj.Name + " of type Dimension")
                    nobj = makeCopy(obj,force="Dimension",reparent=reparent)
                elif ("Height" in props) and ("Length" in props):
                    print("Healing " + obj.Name + " of type Rectangle")
                    nobj = makeCopy(obj,force="Rectangle",reparent=reparent)
                elif ("Points" in props) and ("Closed" in props):
                    if "BSpline" in obj.Name:
                        print("Healing " + obj.Name + " of type BSpline")
                        nobj = makeCopy(obj,force="BSpline",reparent=reparent)
                    else:
                        print("Healing " + obj.Name + " of type Wire")
                        nobj = makeCopy(obj,force="Wire",reparent=reparent)
                elif ("Radius" in props) and ("FirstAngle" in props):
                    print("Healing " + obj.Name + " of type Circle")
                    nobj = makeCopy(obj,force="Circle",reparent=reparent)
                elif ("DrawMode" in props) and ("FacesNumber" in props):
                    print("Healing " + obj.Name + " of type Polygon")
                    nobj = makeCopy(obj,force="Polygon",reparent=reparent)
                elif ("FillStyle" in props) and ("FontSize" in props):
                    nobj = makeCopy(obj,force="DrawingView",reparent=reparent)
                else:
                    dellist.pop()
                    print("Object " + obj.Name + " is not healable")

    if not got:
        print("No object seems to need healing")
    else:
        print("Healed ",len(dellist)," objects")

    if dellist and delete:
        for n in dellist:
            FreeCAD.ActiveDocument.removeObject(n)

def makeFacebinder(selectionset,name="Facebinder"):
    """makeFacebinder(selectionset,[name]): creates a Facebinder object from a selection set.
    Only faces will be added."""
    if not isinstance(selectionset,list):
        selectionset = [selectionset]
    fb = FreeCAD.ActiveDocument.addObject("Part::FeaturePython",name)
    _Facebinder(fb)
    if gui:
        _ViewProviderFacebinder(fb.ViewObject)
    faces = []
    fb.Proxy.addSubobjects(fb,selectionset)
    return fb


def upgrade(objects,delete=False,force=None):
    """upgrade(objects,delete=False,force=None): Upgrades the given object(s) (can be
    an object or a list of objects). If delete is True, old objects are deleted.
    The force attribute can be used to
    force a certain way of upgrading. It can be: makeCompound, closeGroupWires,
    makeSolid, closeWire, turnToParts, makeFusion, makeShell, makeFaces, draftify,
    joinFaces, makeSketchFace, makeWires
    Returns a dictionnary containing two lists, a list of new objects and a list
    of objects to be deleted"""

    import Part, DraftGeomUtils
    from DraftTools import msg,translate

    if not isinstance(objects,list):
        objects = [objects]

    global deleteList, newList
    deleteList = []
    addList = []

    # definitions of actions to perform

    def turnToLine(obj):
        """turns an edge into a Draft line"""
        p1 = obj.Shape.Vertexes[0].Point
        p2 = obj.Shape.Vertexes[-1].Point
        newobj = makeLine(p1,p2)
        addList.append(newobj)
        deleteList.append(obj)
        return newobj

    def makeCompound(objectslist):
        """returns a compound object made from the given objects"""
        newobj = makeBlock(objectslist)
        addList.append(newobj)
        return newobj

    def closeGroupWires(groupslist):
        """closes every open wire in the given groups"""
        result = False
        for grp in groupslist:
            for obj in grp.Group:
                    newobj = closeWire(obj)
                    # add new objects to their respective groups
                    if newobj:
                        result = True
                        grp.addObject(newobj)
        return result

    def makeSolid(obj):
        """turns an object into a solid, if possible"""
        if obj.Shape.Solids:
            return None
        sol = None
        try:
            sol = Part.makeSolid(obj.Shape)
        except Part.OCCError:
            return None
        else:
            if sol:
                if sol.isClosed():
                    newobj = FreeCAD.ActiveDocument.addObject("Part::Feature","Solid")
                    newobj.Shape = sol
                    addList.append(newobj)
                    deleteList.append(obj)
            return newob

    def closeWire(obj):
        """closes a wire object, if possible"""
        if obj.Shape.Faces:
            return None
        if len(obj.Shape.Wires) != 1:
            return None
        if len(obj.Shape.Edges) == 1:
            return None
        if getType(obj) == "Wire":
            obj.Closed = True
            return True
        else:
            w = obj.Shape.Wires[0]
            if not w.isClosed():
                edges = w.Edges
                p0 = w.Vertexes[0].Point
                p1 = w.Vertexes[-1].Point
                if p0 == p1:
                    # sometimes an open wire can have its start and end points identical (OCC bug)
                    # in that case, although it is not closed, face works...
                    f = Part.Face(w)
                    newobj = FreeCAD.ActiveDocument.addObject("Part::Feature","Face")
                    newobj.Shape = f
                else:
                    edges.append(Part.Line(p1,p0).toShape())
                    w = Part.Wire(Part.__sortEdges__(edges))
                    newobj = FreeCAD.ActiveDocument.addObject("Part::Feature","Wire")
                    newobj.Shape = w
                addList.append(newobj)
                deleteList.append(obj)
                return newobj
            else:
                return None

    def turnToParts(meshes):
        """turn given meshes to parts"""
        result = False
        import Arch
        for mesh in meshes:
            sh = Arch.getShapeFromMesh(mesh.Mesh)
            if sh:
                newobj = FreeCAD.ActiveDocument.addObject("Part::Feature","Shell")
                newobj.Shape = sh
                addList.append(newobj)
                deleteList.append(mesh)
                result = True
        return result

    def makeFusion(obj1,obj2):
        """makes a Draft or Part fusion between 2 given objects"""
        newobj = fuse(obj1,obj2)
        if newobj:
            addList.append(newobj)
            return newobj
        return None

    def makeShell(objectslist):
        """makes a shell with the given objects"""
        faces = []
        for obj in objectslist:
            faces.extend(obj.Shape.Faces)
        sh = Part.makeShell(faces)
        if sh:
            if sh.Faces:
                newobj = FreeCAD.ActiveDocument.addObject("Part::Feature","Shell")
                newobj.Shape = sh
                addList.append(newobj)
                deleteList.extend(objectslist)
                return newobj
        return None

    def joinFaces(objectslist):
        """makes one big face from selected objects, if possible"""
        faces = []
        for obj in objectslist:
            faces.extend(obj.Shape.Faces)
        u = faces.pop(0)
        for f in faces:
            u = u.fuse(f)
        if DraftGeomUtils.isCoplanar(faces):
            u = DraftGeomUtils.concatenate(u)
            if not DraftGeomUtils.hasCurves(u):
                # several coplanar and non-curved faces: they can becoem a Draft wire
                newobj = makeWire(u.Wires[0],closed=True,face=True)
            else:
                # if not possible, we do a non-parametric union
                newobj = FreeCAD.ActiveDocument.addObject("Part::Feature","Union")
                newobj.Shape = u
            addList.append(newobj)
            deleteList.extend(objectslist)
            return newobj
        return None

    def makeSketchFace(obj):
        """Makes a Draft face out of a sketch"""
        newobj = makeWire(obj.Shape,closed=True)
        if newobj:
            newobj.Base = obj
            obj.ViewObject.Visibility = False
            addList.append(newobj)
            return newobj
        return None

    def makeFaces(objectslist):
        """make a face from every closed wire in the list"""
        result = False
        for o in objectslist:
            for w in o.Shape.Wires:
                try:
                    f = Part.Face(w)
                except Part.OCCError:
                    pass
                else:
                    newobj = FreeCAD.ActiveDocument.addObject("Part::Feature","Face")
                    newobj.Shape = f
                    addList.append(newobj)
                    result = True
                    if not o in deleteList:
                        deleteList.append(o)
        return result

    def makeWires(objectslist):
        """joins edges in the given objects list into wires"""
        edges = []
        for o in objectslist:
            for e in o.Shape.Edges:
                edges.append(e)
        try:
            nedges = Part.__sortEdges__(edges[:])
            # for e in nedges: print("debug: ",e.Curve,e.Vertexes[0].Point,e.Vertexes[-1].Point)
            w = Part.Wire(nedges)
        except Part.OCCError:
            return None
        else:
            if len(w.Edges) == len(edges):
                newobj = FreeCAD.ActiveDocument.addObject("Part::Feature","Wire")
                newobj.Shape = w
                addList.append(newobj)
                deleteList.extend(objectslist)
                return True
        return None

    # analyzing what we have in our selection

    edges = []
    wires = []
    openwires = []
    faces = []
    groups = []
    parts = []
    curves = []
    facewires = []
    loneedges = []
    meshes = []
    for ob in objects:
        if ob.TypeId == "App::DocumentObjectGroup":
            groups.append(ob)
        elif ob.isDerivedFrom("Part::Feature"):
            parts.append(ob)
            faces.extend(ob.Shape.Faces)
            wires.extend(ob.Shape.Wires)
            edges.extend(ob.Shape.Edges)
            for f in ob.Shape.Faces:
                facewires.extend(f.Wires)
            wirededges = []
            for w in ob.Shape.Wires:
                if len(w.Edges) > 1:
                    for e in w.Edges:
                        wirededges.append(e.hashCode())
                if not w.isClosed():
                    openwires.append(w)
            for e in ob.Shape.Edges:
                if DraftGeomUtils.geomType(e) != "Line":
                    curves.append(e)
                if not e.hashCode() in wirededges:
                    loneedges.append(e)
        elif ob.isDerivedFrom("Mesh::Feature"):
            meshes.append(ob)
    objects = parts

    #print("objects:",objects," edges:",edges," wires:",wires," openwires:",openwires," faces:",faces)
    #print("groups:",groups," curves:",curves," facewires:",facewires, "loneedges:", loneedges)

    if force:
        if force in ["makeCompound","closeGroupWires","makeSolid","closeWire","turnToParts","makeFusion",
                     "makeShell","makeFaces","draftify","joinFaces","makeSketchFace","makeWires","turnToLine"]:
            result = eval(force)(objects)
        else:
            msg(translate("Upgrade: Unknow force method:")+" "+force)
            result = None

    else:

        # applying transformations automatically

        result = None

        # if we have a group: turn each closed wire inside into a face
        if groups:
            result = closeGroupWires(groups)
            if result: msg(translate("draft", "Found groups: closing each open object inside\n"))

        # if we have meshes, we try to turn them into shapes
        elif meshes:
            result = turnToParts(meshes)
            if result: msg(translate("draft", "Found mesh(es): turning into Part shapes\n"))

        # we have only faces here, no lone edges
        elif faces and (len(wires) + len(openwires) == len(facewires)):

            # we have one shell: we try to make a solid
            if (len(objects) == 1) and (len(faces) > 3):
                result = makeSolid(objects[0])
                if result: msg(translate("draft", "Found 1 solidificable object: solidifying it\n"))

            # we have exactly 2 objects: we fuse them
            elif (len(objects) == 2) and (not curves):
                result = makeFusion(objects[0],objects[1])
                if result: msg(translate("draft", "Found 2 objects: fusing them\n"))

            # we have many separate faces: we try to make a shell
            elif (len(objects) > 2) and (len(faces) > 1) and (not loneedges):
                result = makeShell(objects)
                if result: msg(translate("draft", "Found several objects: creating a shell\n"))

            # we have faces: we try to join them if they are coplanar
            elif len(faces) > 1:
                result = joinFaces(objects)
                if result: msg(translate("draft", "Found several coplanar objects or faces: creating one face\n"))

            # only one object: if not parametric, we "draftify" it
            elif len(objects) == 1 and (not objects[0].isDerivedFrom("Part::Part2DObjectPython")):
                result = draftify(objects[0])
                if result: msg(translate("draft", "Found 1 non-parametric objects: draftifying it\n"))

        # we have only one object that contains one edge
        elif (not faces) and (len(objects) == 1) and (len(edges) == 1):
            # we have a closed sketch: Extract a face
            if objects[0].isDerivedFrom("Sketcher::SketchObject") and (len(edges[0].Vertexes) == 1):
                result = makeSketchFace(objects[0])
                if result: msg(translate("draft", "Found 1 closed sketch object: creating a face from it\n"))
            else:
                # turn to Draft line
                e = objects[0].Shape.Edges[0]
                if isinstance(e.Curve,Part.Line):
                    result = turnToLine(objects[0])
                    if result: msg(translate("draft", "Found 1 linear object: converting to line\n"))

        # we have only closed wires, no faces
        elif wires and (not faces) and (not openwires):

            # we have a sketch: Extract a face
            if (len(objects) == 1) and objects[0].isDerivedFrom("Sketcher::SketchObject"):
                result = makeSketchFace(objects[0])
                if result: msg(translate("draft", "Found 1 closed sketch object: creating a face from it\n"))

            # only closed wires
            else:
                result = makeFaces(objects)
                if result: msg(translate("draft", "Found closed wires: creating faces\n"))

        # special case, we have only one open wire. We close it, unless it has only 1 edge!"
        elif (len(openwires) == 1) and (not faces) and (not loneedges):
            result = closeWire(objects[0])
            if result: msg(translate("draft", "Found 1 open wire: closing it\n"))

        # only open wires and edges: we try to join their edges
        elif openwires and (not wires) and (not faces):
            result = makeWires(objects)
            if result: msg(translate("draft", "Found several open wires: joining them\n"))

        # only loneedges: we try to join them
        elif loneedges and (not facewires):
            result = makeWires(objects)
            if result: msg(translate("draft", "Found several edges: wiring them\n"))

        # all other cases, if more than 1 object, make a compound
        elif (len(objects) > 1):
            result = makeCompound(objects)
            if result: msg(translate("draft", "Found several non-treatable objects: creating compound\n"))

        # no result has been obtained
        if not result:
            msg(translate("draft", "Unable to upgrade these objects.\n"))

    if delete:
        names = []
        for o in deleteList:
            names.append(o.Name)
        deleteList = []
        for n in names:
            FreeCAD.ActiveDocument.removeObject(n)

    return [addList,deleteList]

def downgrade(objects,delete=False,force=None):
    """downgrade(objects,delete=False,force=None): Downgrades the given object(s) (can be
    an object or a list of objects). If delete is True, old objects are deleted.
    The force attribute can be used to
    force a certain way of downgrading. It can be: explode, shapify, subtr,
    splitFaces, cut2, getWire, splitWires, splitCompounds.
    Returns a dictionnary containing two lists, a list of new objects and a list
    of objects to be deleted"""

    import Part, DraftGeomUtils
    from DraftTools import msg,translate

    if not isinstance(objects,list):
        objects = [objects]

    global deleteList, addList
    deleteList = []
    addList = []

    # actions definitions

    def explode(obj):
        """explodes a Draft block"""
        pl = obj.Placement
        newobj = []
        for o in obj.Components:
            o.ViewObject.Visibility = True
            o.Placement = o.Placement.multiply(pl)
        if newobj:
            deleteList(obj)
            return newobj
        return None

    def cut2(objects):
        """cuts first object from the last one"""
        newobj = cut(objects[0],objects[1])
        if newobj:
            addList.append(newobj)
            return newobj
        return None

    def splitCompounds(objects):
        """split solids contained in compound objects into new objects"""
        result = False
        for o in objects:
            if o.Shape.Solids:
                for s in o.Shape.Solids:
                    newobj = FreeCAD.ActiveDocument.addObject("Part::Feature","Solid")
                    newobj.Shape = s
                    addList.append(newobj)
                result = True
                deleteList.append(o)
        return result

    def splitFaces(objects):
        """split faces contained in objects into new objects"""
        result = False
        for o in objects:
            if o.Shape.Faces:
                for f in o.Shape.Faces:
                    newobj = FreeCAD.ActiveDocument.addObject("Part::Feature","Face")
                    newobj.Shape = f
                    addList.append(newobj)
                result = True
                deleteList.append(o)
        return result

    def subtr(objects):
        """subtracts objects from the first one"""
        faces = []
        for o in objects:
            if o.Shape.Faces:
                faces.extend(o.Shape.Faces)
                deleteList.append(o)
        u = faces.pop(0)
        for f in faces:
            u = u.cut(f)
        if not u.isNull():
            newobj = FreeCAD.ActiveDocument.addObject("Part::Feature","Subtraction")
            newobj.Shape = u
            addList.append(newobj)
            return newobj
        return None

    def getWire(obj):
        """gets the wire from a face object"""
        result = False
        for w in obj.Shape.Faces[0].Wires:
            newobj = FreeCAD.ActiveDocument.addObject("Part::Feature","Wire")
            newobj.Shape = w
            addList.append(newobj)
            result = True
        deleteList.append(obj)
        return result

    def splitWires(objects):
        """splits the wires contained in objects into edges"""
        result = False
        for o in objects:
            if o.Shape.Edges:
                for e in o.Shape.Edges:
                    newobj = FreeCAD.ActiveDocument.addObject("Part::Feature","Edge")
                    newobj.Shape = e
                    addList.append(newobj)
                deleteList.append(o)
                result = True
        return result

    # analyzing objects

    faces = []
    edges = []
    onlyedges = True
    parts = []
    solids = []
    result = None

    for o in objects:
        if o.isDerivedFrom("Part::Feature"):
            for s in o.Shape.Solids:
                solids.append(s)
            for f in o.Shape.Faces:
                faces.append(f)
            for e in o.Shape.Edges:
                edges.append(e)
            if o.Shape.ShapeType != "Edge":
                onlyedges = False
            parts.append(o)
    objects = parts

    if force:
        if force in ["explode","shapify","subtr","splitFaces","cut2","getWire","splitWires"]:
            result = eval(force)(objects)
        else:
            msg(translate("Upgrade: Unknow force method:")+" "+force)
            result = None

    else:

        # applying transformation automatically

        # we have a block, we explode it
        if (len(objects) == 1) and (getType(objects[0]) == "Block"):
            result = explode(objects[0])
            if result: msg(translate("draft", "Found 1 block: exploding it\n"))

        # we have one multi-solids compound object: extract its solids
        elif (len(objects) == 1) and (getType(objects[0]) == "Part") and (len(solids) > 1):
            result = splitCompounds(objects)
            #print(result)
            if result: msg(translate("draft", "Found 1 multi-solids compound: exploding it\n"))

        # special case, we have one parametric object: we "de-parametrize" it
        elif (len(objects) == 1) and (objects[0].isDerivedFrom("Part::Feature")) and ("Base" in objects[0].PropertiesList):
            result = shapify(objects[0])
            if result:
                msg(translate("draft", "Found 1 parametric object: breaking its dependencies\n"))
                addList.append(result)
                #deleteList.append(objects[0])

        # we have only 2 objects: cut 2nd from 1st
        elif len(objects) == 2:
            result = cut2(objects)
            if result: msg(translate("draft", "Found 2 objects: subtracting them\n"))

        elif (len(faces) > 1):

            # one object with several faces: split it
            if len(objects) == 1:
                result = splitFaces(objects)
                if result: msg(translate("draft", "Found several faces: splitting them\n"))

            # several objects: remove all the faces from the first one
            else:
                result = subtr(objects)
                if result: msg(translate("draft", "Found several objects: subtracting them from the first one\n"))

        # only one face: we extract its wires
        elif (len(faces) > 0):
            result = getWire(objects[0])
            if result: msg(translate("draft", "Found 1 face: extracting its wires\n"))

        # no faces: split wire into single edges
        elif not onlyedges:
            result = splitWires(objects)
            if result: msg(translate("draft", "Found only wires: extracting their edges\n"))

        # no result has been obtained
        if not result:
            msg(translate("draft", "No more downgrade possible\n"))

    if delete:
        names = []
        for o in deleteList:
            names.append(o.Name)
        deleteList = []
        for n in names:
            FreeCAD.ActiveDocument.removeObject(n)

    return [addList,deleteList]


#---------------------------------------------------------------------------
# Python Features definitions
#---------------------------------------------------------------------------

class _DraftObject:
    "The base class for Draft objects"
    def __init__(self,obj,tp="Unknown"):
        obj.Proxy = self
        self.Type = tp

    def __getstate__(self):
        return self.Type

    def __setstate__(self,state):
        if state:
            self.Type = state

    def execute(self,obj):
        pass

    def onChanged(self, obj, prop):
        pass

class _ViewProviderDraft:
    "The base class for Draft Viewproviders"

    def __init__(self, vobj):
        from DraftTools import translate
        vobj.Proxy = self
        self.Object = vobj.Object
        vobj.addProperty("App::PropertyEnumeration","Pattern","Draft",QT_TRANSLATE_NOOP("App::Property","Defines a hatch pattern"))
        vobj.addProperty("App::PropertyFloat","PatternSize","Draft",QT_TRANSLATE_NOOP("App::Property","Sets the size of the pattern"))
        vobj.Pattern = ["None"]+list(svgpatterns().keys())
        vobj.PatternSize = 1

    def __getstate__(self):
        return None

    def __setstate__(self, state):
        return None

    def attach(self,vobj):
        self.texture = None
        self.texcoords = None
        self.Object = vobj.Object
        self.onChanged(vobj,"Pattern")
        return

    def updateData(self, obj, prop):
        return

    def getDisplayModes(self, vobj):
        modes=[]
        return modes

    def setDisplayMode(self, mode):
        return mode

    def onChanged(self, vobj, prop):
        # treatment of patterns and image textures
        if prop in ["TextureImage","Pattern","DiffuseColor"]:
            if hasattr(self.Object,"Shape"):
                if self.Object.Shape.Faces:
                    from pivy import coin
                    from PySide import QtCore
                    path = None
                    if hasattr(vobj,"TextureImage"):
                        if vobj.TextureImage:
                            path = vobj.TextureImage
                    if not path:
                        if hasattr(vobj,"Pattern"):
                            if str(vobj.Pattern) in list(svgpatterns().keys()):
                                path = svgpatterns()[vobj.Pattern][1]
                            else:
                                path = "None"
                    if path and vobj.RootNode:
                        if vobj.RootNode.getChildren().getLength() > 2:
                            if vobj.RootNode.getChild(2).getChildren().getLength() > 0:
                                if vobj.RootNode.getChild(2).getChild(0).getChildren().getLength() > 2:
                                    r = vobj.RootNode.getChild(2).getChild(0).getChild(2)
                                    i = QtCore.QFileInfo(path)
                                    if self.texture:
                                        r.removeChild(self.texture)
                                        self.texture = None
                                    if self.texcoords:
                                        r.removeChild(self.texcoords)
                                        self.texcoords = None
                                    if i.exists():
                                        size = None
                                        if ".SVG" in path.upper():
                                            size = getParam("HatchPatternResolution",128)
                                            if not size:
                                                size = 128
                                        im = loadTexture(path, size)
                                        if im:
                                            self.texture = coin.SoTexture2()
                                            self.texture.image = im
                                            r.insertChild(self.texture,1)
                                            if size:
                                                s =1
                                                if hasattr(vobj,"PatternSize"):
                                                    if vobj.PatternSize:
                                                        s = vobj.PatternSize
                                                self.texcoords = coin.SoTextureCoordinatePlane()
                                                self.texcoords.directionS.setValue(s,0,0)
                                                self.texcoords.directionT.setValue(0,s,0)
                                                r.insertChild(self.texcoords,2)
        elif prop == "PatternSize":
            if hasattr(self,"texcoords"):
                if self.texcoords:
                    s = 1
                    if vobj.PatternSize:
                        s = vobj.PatternSize
                    self.texcoords.directionS.setValue(s,0,0)
                    self.texcoords.directionT.setValue(0,s,0)
        return

    def execute(self,vobj):
        return

    def setEdit(self,vobj,mode=0):
        if mode == 0:
            FreeCADGui.runCommand("Draft_Edit")
            return True
        return False

    def unsetEdit(self,vobj,mode=0):
        if FreeCAD.activeDraftCommand:
            FreeCAD.activeDraftCommand.finish()
        FreeCADGui.Control.closeDialog()
        return False

    def getIcon(self):
        return(":/icons/Draft_Draft.svg")

    def claimChildren(self):
        objs = []
        if hasattr(self.Object,"Base"):
            objs.append(self.Object.Base)
        if hasattr(self.Object,"Objects"):
            objs.extend(self.Object.Objects)
        if hasattr(self.Object,"Components"):
            objs.extend(self.Object.Components)
        return objs

class _ViewProviderDraftAlt(_ViewProviderDraft):
    "a view provider that doesn't swallow its base object"

    def __init__(self,vobj):
        _ViewProviderDraft.__init__(self,vobj)

    def claimChildren(self):
        return []

class _ViewProviderDraftPart(_ViewProviderDraftAlt):
    "a view provider that displays a Part icon instead of a Draft icon"

    def __init__(self,vobj):
        _ViewProviderDraftAlt.__init__(self,vobj)

    def getIcon(self):
        return ":/icons/Tree_Part.svg"


class _Dimension(_DraftObject):
    "The Draft Dimension object"
    def __init__(self, obj):
        _DraftObject.__init__(self,obj,"Dimension")
        obj.addProperty("App::PropertyVectorDistance","Start","Draft",QT_TRANSLATE_NOOP("App::Property","Startpoint of dimension"))
        obj.addProperty("App::PropertyVectorDistance","End","Draft",QT_TRANSLATE_NOOP("App::Property","Endpoint of dimension"))
        obj.addProperty("App::PropertyVector","Normal","Draft",QT_TRANSLATE_NOOP("App::Property","the normal direction of this dimension"))
        obj.addProperty("App::PropertyVector","Direction","Draft",QT_TRANSLATE_NOOP("App::Property","the normal direction of this dimension"))
        obj.addProperty("App::PropertyVectorDistance","Dimline","Draft",QT_TRANSLATE_NOOP("App::Property","Point through which the dimension line passes"))
        obj.addProperty("App::PropertyLink","Support","Draft",QT_TRANSLATE_NOOP("App::Property","The object measured by this dimension"))
        obj.addProperty("App::PropertyLinkSubList","LinkedGeometry","Draft",QT_TRANSLATE_NOOP("App::Property","The geometry this dimension is linked to"))
        obj.addProperty("App::PropertyLength","Distance","Draft",QT_TRANSLATE_NOOP("App::Property","The measurement of this dimension"))
        obj.addProperty("App::PropertyBool","Diameter","Draft",QT_TRANSLATE_NOOP("App::Property","For arc/circle measurements, false = radius, true = diameter"))
        obj.Start = FreeCAD.Vector(0,0,0)
        obj.End = FreeCAD.Vector(1,0,0)
        obj.Dimline = FreeCAD.Vector(0,1,0)

    def onChanged(self,obj,prop):
        if hasattr(obj,"Distance"):
            obj.setEditorMode('Distance',1)
        if hasattr(obj,"Normal"):
            obj.setEditorMode('Normal',2)
        if hasattr(obj,"Support"):
            obj.setEditorMode('Support',2)

    def execute(self, obj):
        import DraftGeomUtils
        # set start point and end point according to the linked geometry
        if obj.LinkedGeometry:
            if len(obj.LinkedGeometry) == 1:
                lobj = obj.LinkedGeometry[0][0]
                lsub = obj.LinkedGeometry[0][1]
                if len(lsub) == 1:
                    if "Edge" in lsub[0]:
                        n = int(lsub[0][4:])-1
                        edge = lobj.Shape.Edges[n]
                        if DraftGeomUtils.geomType(edge) == "Line":
                            obj.Start = edge.Vertexes[0].Point
                            obj.End = edge.Vertexes[-1].Point
                        elif DraftGeomUtils.geomType(edge) == "Circle":
                            c = edge.Curve.Center
                            r = edge.Curve.Radius
                            ray = DraftVecUtils.scaleTo(obj.Dimline.sub(c),r)
                            if hasattr(obj,"Diameter"):
                                if obj.Diameter:
                                    obj.Start = c.add(ray.negative())
                                    obj.End = c.add(ray)
                                else:
                                    obj.Start = c
                                    obj.End = c.add(ray)
                elif len(lsub) == 2:
                    if ("Vertex" in lsub[0]) and ("Vertex" in lsub[1]):
                        n1 = int(lsub[0][6:])-1
                        n2 = int(lsub[1][6:])-1
                        obj.Start = lobj.Shape.Vertexes[n1].Point
                        obj.End = lobj.Shape.Vertexes[n2].Point
            elif len(obj.LinkedGeometry) == 2:
                lobj1 = obj.LinkedGeometry[0][0]
                lobj2 = obj.LinkedGeometry[1][0]
                lsub1 = obj.LinkedGeometry[0][1]
                lsub2 = obj.LinkedGeometry[1][1]
                if (len(lsub1) == 1) and (len(lsub2) == 1):
                    if ("Vertex" in lsub1[0]) and ("Vertex" in lsub2[1]):
                        n1 = int(lsub1[0][6:])-1
                        n2 = int(lsub2[0][6:])-1
                        obj.Start = lobj1.Shape.Vertexes[n1].Point
                        obj.End = lobj2.Shape.Vertexes[n2].Point
        if obj.ViewObject:
            obj.ViewObject.update()


class _ViewProviderDimension(_ViewProviderDraft):
    "A View Provider for the Draft Dimension object"
    def __init__(self, obj):
        obj.addProperty("App::PropertyLength","FontSize","Draft",QT_TRANSLATE_NOOP("App::Property","Font size"))
        obj.addProperty("App::PropertyInteger","Decimals","Draft",QT_TRANSLATE_NOOP("App::Property","The number of decimals to show"))
        obj.addProperty("App::PropertyLength","ArrowSize","Draft",QT_TRANSLATE_NOOP("App::Property","Arrow size"))
        obj.addProperty("App::PropertyLength","TextSpacing","Draft",QT_TRANSLATE_NOOP("App::Property","The spacing between the text and the dimension line"))
        obj.addProperty("App::PropertyEnumeration","ArrowType","Draft",QT_TRANSLATE_NOOP("App::Property","Arrow type"))
        obj.addProperty("App::PropertyString","FontName","Draft",QT_TRANSLATE_NOOP("App::Property","Font name"))
        obj.addProperty("App::PropertyFloat","LineWidth","Draft",QT_TRANSLATE_NOOP("App::Property","Line width"))
        obj.addProperty("App::PropertyColor","LineColor","Draft",QT_TRANSLATE_NOOP("App::Property","Line color"))
        obj.addProperty("App::PropertyDistance","ExtLines","Draft",QT_TRANSLATE_NOOP("App::Property","Length of the extension lines"))
        obj.addProperty("App::PropertyBool","FlipArrows","Draft",QT_TRANSLATE_NOOP("App::Property","Rotate the dimension arrows 180 degrees"))
        obj.addProperty("App::PropertyBool","FlipText","Draft",QT_TRANSLATE_NOOP("App::Property","Rotate the dimension text 180 degrees"))
        obj.addProperty("App::PropertyBool","ShowUnit","Draft",QT_TRANSLATE_NOOP("App::Property","Show the unit suffix"))
        obj.addProperty("App::PropertyVectorDistance","TextPosition","Draft",QT_TRANSLATE_NOOP("App::Property","The position of the text. Leave (0,0,0) for automatic position"))
        obj.addProperty("App::PropertyString","Override","Draft",QT_TRANSLATE_NOOP("App::Property","Text override. Use $dim to insert the dimension length"))
        obj.addProperty("App::PropertyString","UnitOverride","Draft",QT_TRANSLATE_NOOP("App::Property","A unit to express the measurement. Leave blank for system default"))
        obj.FontSize = getParam("textheight",0.20)
        obj.TextSpacing = getParam("dimspacing",0.05)
        obj.FontName = getParam("textfont","")
        obj.ArrowSize = getParam("arrowsize",0.1)
        obj.ArrowType = arrowtypes
        obj.ArrowType = arrowtypes[getParam("dimsymbol",0)]
        obj.ExtLines = getParam("extlines",0.3)
        obj.Decimals = getParam("dimPrecision",2)
        obj.ShowUnit = getParam("showUnit",True)
        _ViewProviderDraft.__init__(self,obj)

    def attach(self, vobj):
        "called on object creation"
        from pivy import coin
        self.Object = vobj.Object
        self.color = coin.SoBaseColor()
        self.font = coin.SoFont()
        self.font3d = coin.SoFont()
        self.text = coin.SoAsciiText()
        self.text3d = coin.SoText2()
        self.text.string = "d" # some versions of coin crash if string is not set
        self.text3d.string = "d"
        self.textpos = coin.SoTransform()
        self.text.justification = self.text3d.justification = coin.SoAsciiText.CENTER
        label = coin.SoSeparator()
        label.addChild(self.textpos)
        label.addChild(self.color)
        label.addChild(self.font)
        label.addChild(self.text)
        label3d = coin.SoSeparator()
        label3d.addChild(self.textpos)
        label3d.addChild(self.color)
        label3d.addChild(self.font3d)
        label3d.addChild(self.text3d)
        self.coord1 = coin.SoCoordinate3()
        self.trans1 = coin.SoTransform()
        self.coord2 = coin.SoCoordinate3()
        self.trans2 = coin.SoTransform()
        self.marks = coin.SoSeparator()
        self.drawstyle = coin.SoDrawStyle()
        self.line = coin.SoType.fromName("SoBrepEdgeSet").createInstance()
        self.coords = coin.SoCoordinate3()
        self.node = coin.SoGroup()
        self.node.addChild(self.color)
        self.node.addChild(self.drawstyle)
        self.node.addChild(self.coords)
        self.node.addChild(self.line)
        self.node.addChild(self.marks)
        self.node.addChild(label)
        self.node3d = coin.SoGroup()
        self.node3d.addChild(self.color)
        self.node3d.addChild(self.drawstyle)
        self.node3d.addChild(self.coords)
        self.node3d.addChild(self.line)
        self.node3d.addChild(self.marks)
        self.node3d.addChild(label3d)
        vobj.addDisplayMode(self.node,"2D")
        vobj.addDisplayMode(self.node3d,"3D")
        self.updateData(vobj.Object,"Start")
        self.onChanged(vobj,"FontSize")
        self.onChanged(vobj,"FontName")
        self.onChanged(vobj,"ArrowType")
        self.onChanged(vobj,"LineColor")

    def updateData(self, obj, prop):
        "called when the base object is changed"
        import DraftGui
        if prop in ["Start","End","Dimline","Direction"]:

            if obj.Start == obj.End:
                return

            if not hasattr(self,"node"):
                return

            import Part, DraftGeomUtils
            from pivy import coin

            # calculate the 4 points
            self.p1 = obj.Start
            self.p4 = obj.End
            base = None
            if hasattr(obj,"Direction"):
                if not DraftVecUtils.isNull(obj.Direction):
                    v2 = self.p1.sub(obj.Dimline)
                    v3 = self.p4.sub(obj.Dimline)
                    v2 = DraftVecUtils.project(v2,obj.Direction)
                    v3 = DraftVecUtils.project(v3,obj.Direction)
                    self.p2 = obj.Dimline.add(v2)
                    self.p3 = obj.Dimline.add(v3)
                    if DraftVecUtils.equals(self.p2,self.p3):
                        base = None
                        proj = None
                    else:
                        base = Part.Line(self.p2,self.p3).toShape()
                        proj = DraftGeomUtils.findDistance(self.p1,base).negative()
            if not base:
                if DraftVecUtils.equals(self.p1,self.p4):
                    base = None
                    proj = None
                else:
                    base = Part.Line(self.p1,self.p4).toShape()
                    proj = DraftGeomUtils.findDistance(obj.Dimline,base)
                if proj:
                    self.p2 = self.p1.add(proj.negative())
                    self.p3 = self.p4.add(proj.negative())
                else:
                    self.p2 = self.p1
                    self.p3 = self.p4
            if proj:
                if hasattr(obj.ViewObject,"ExtLines"):
                    dmax = obj.ViewObject.ExtLines.Value
                    if dmax and (proj.Length > dmax):
                        if (dmax > 0):
                            self.p1 = self.p2.add(DraftVecUtils.scaleTo(proj,dmax))
                            self.p4 = self.p3.add(DraftVecUtils.scaleTo(proj,dmax))
                        else:
                            rest = proj.Length + dmax
                            self.p1 = self.p2.add(DraftVecUtils.scaleTo(proj,rest))
                            self.p4 = self.p3.add(DraftVecUtils.scaleTo(proj,rest))
            else:
                proj = (self.p3.sub(self.p2)).cross(Vector(0,0,1))

            # calculate the arrows positions
            self.trans1.translation.setValue((self.p2.x,self.p2.y,self.p2.z))
            self.coord1.point.setValue((self.p2.x,self.p2.y,self.p2.z))
            self.trans2.translation.setValue((self.p3.x,self.p3.y,self.p3.z))
            self.coord2.point.setValue((self.p3.x,self.p3.y,self.p3.z))

            # calculate the text position and orientation
            if hasattr(obj,"Normal"):
                if DraftVecUtils.isNull(obj.Normal):
                    if proj:
                        norm = (self.p3.sub(self.p2).cross(proj)).negative()
                    else:
                        norm = Vector(0,0,1)
                else:
                    norm = FreeCAD.Vector(obj.Normal)
            else:
                if proj:
                    norm = (self.p3.sub(self.p2).cross(proj)).negative()
                else:
                    norm = Vector(0,0,1)
            if not DraftVecUtils.isNull(norm):
                norm.normalize()
            u = self.p3.sub(self.p2)
            u.normalize()
            v1 = norm.cross(u)
            rot1 = FreeCAD.Placement(DraftVecUtils.getPlaneRotation(u,v1,norm)).Rotation.Q
            if hasattr(obj.ViewObject,"FlipArrows"):
                if obj.ViewObject.FlipArrows:
                    u = u.negative()
            v2 = norm.cross(u)
            rot2 = FreeCAD.Placement(DraftVecUtils.getPlaneRotation(u,v2,norm)).Rotation.Q
            self.trans1.rotation.setValue((rot2[0],rot2[1],rot2[2],rot2[3]))
            self.trans2.rotation.setValue((rot2[0],rot2[1],rot2[2],rot2[3]))
            if hasattr(obj.ViewObject,"TextSpacing"):
                offset = DraftVecUtils.scaleTo(v1,obj.ViewObject.TextSpacing.Value)
            else:
                offset = DraftVecUtils.scaleTo(v1,0.05)
            rott = rot1
            if hasattr(obj.ViewObject,"FlipText"):
                if obj.ViewObject.FlipText:
                    rott = FreeCAD.Rotation(*rott).multiply(FreeCAD.Rotation(norm,180)).Q
                    offset = offset.negative()
            # setting text
            try:
                m = obj.ViewObject.DisplayMode
            except: # swallow all exceptions here since it always fails on first run (Displaymode enum no set yet)
                m = ["2D","3D"][getParam("dimstyle",0)]
            if m == "3D":
                offset = offset.negative()
            self.tbase = (self.p2.add((self.p3.sub(self.p2).multiply(0.5)))).add(offset)
            if hasattr(obj.ViewObject,"TextPosition"):
                if not DraftVecUtils.isNull(obj.ViewObject.TextPosition):
                    self.tbase = obj.ViewObject.TextPosition
            self.textpos.translation.setValue([self.tbase.x,self.tbase.y,self.tbase.z])
            self.textpos.rotation = coin.SbRotation(rott[0],rott[1],rott[2],rott[3])
            su = True
            if hasattr(obj.ViewObject,"ShowUnit"):
                su = obj.ViewObject.ShowUnit
            # set text value
            l = self.p3.sub(self.p2).Length
            unit = None
            if hasattr(obj.ViewObject,"UnitOverride"):
                unit = obj.ViewObject.UnitOverride
            # special representation if "Building US" scheme
            if FreeCAD.ParamGet("User parameter:BaseApp/Preferences/Units").GetInt("UserSchema",0) == 5:
                s = FreeCAD.Units.Quantity(l,FreeCAD.Units.Length).UserString
                self.string = s.replace("' ","'- ")
                self.string = s.replace("+"," ")
            elif hasattr(obj.ViewObject,"Decimals"):
                self.string = DraftGui.displayExternal(l,obj.ViewObject.Decimals,'Length',su,unit)
            else:
                self.string = DraftGui.displayExternal(l,None,'Length',su,unit)
            if hasattr(obj.ViewObject,"Override"):
                if obj.ViewObject.Override:
                    self.string = obj.ViewObject.Override.replace("$dim",\
                            self.string)
            self.text.string = self.text3d.string = stringencodecoin(self.string)
            # set the distance property
            if round(obj.Distance.Value,precision()) != round(l,precision()):
                obj.Distance = l

            # set the lines
            if m == "3D":
                # calculate the spacing of the text
                textsize = (len(self.string)*obj.ViewObject.FontSize.Value)/4.0
                spacing = ((self.p3.sub(self.p2)).Length/2.0) - textsize
                self.p2a = self.p2.add(DraftVecUtils.scaleTo(self.p3.sub(self.p2),spacing))
                self.p2b = self.p3.add(DraftVecUtils.scaleTo(self.p2.sub(self.p3),spacing))
                self.coords.point.setValues([[self.p1.x,self.p1.y,self.p1.z],
                                             [self.p2.x,self.p2.y,self.p2.z],
                                             [self.p2a.x,self.p2a.y,self.p2a.z],
                                             [self.p2b.x,self.p2b.y,self.p2b.z],
                                             [self.p3.x,self.p3.y,self.p3.z],
                                             [self.p4.x,self.p4.y,self.p4.z]])
                #self.line.numVertices.setValues([3,3])
                self.line.coordIndex.setValues(0,7,(0,1,2,-1,3,4,5))
            else:
                self.coords.point.setValues([[self.p1.x,self.p1.y,self.p1.z],
                                             [self.p2.x,self.p2.y,self.p2.z],
                                             [self.p3.x,self.p3.y,self.p3.z],
                                             [self.p4.x,self.p4.y,self.p4.z]])
                #self.line.numVertices.setValue(4)
                self.line.coordIndex.setValues(0,4,(0,1,2,3))

    def onChanged(self, vobj, prop):
        "called when a view property has changed"

        if (prop == "FontSize") and hasattr(vobj,"FontSize"):
            if hasattr(self,"font"):
                self.font.size = vobj.FontSize.Value
            if hasattr(self,"font3d"):
                self.font3d.size = vobj.FontSize.Value*100
            vobj.Object.touch()
        elif (prop == "FontName") and hasattr(vobj,"FontName"):
            if hasattr(self,"font") and hasattr(self,"font3d"):
                self.font.name = self.font3d.name = str(vobj.FontName)
                vobj.Object.touch()
        elif (prop == "LineColor") and hasattr(vobj,"LineColor"):
            if hasattr(self,"color"):
                c = vobj.LineColor
                self.color.rgb.setValue(c[0],c[1],c[2])
        elif (prop == "LineWidth") and hasattr(vobj,"LineWidth"):
            if hasattr(self,"drawstyle"):
                self.drawstyle.lineWidth = vobj.LineWidth
        elif (prop in ["ArrowSize","ArrowType"]) and hasattr(vobj,"ArrowSize"):
            if hasattr(self,"node") and hasattr(self,"p2"):
                from pivy import coin

                if not hasattr(vobj,"ArrowType"):
                    return

                if self.p3.x < self.p2.x:
                    inv = False
                else:
                    inv = True

                # set scale
                symbol = arrowtypes.index(vobj.ArrowType)
                s = vobj.ArrowSize.Value
                self.trans1.scaleFactor.setValue((s,s,s))
                self.trans2.scaleFactor.setValue((s,s,s))

                # remove existing nodes
                self.node.removeChild(self.marks)
                self.node3d.removeChild(self.marks)

                # set new nodes
                self.marks = coin.SoSeparator()
                self.marks.addChild(self.color)
                s1 = coin.SoSeparator()
                if symbol == "Circle":
                    s1.addChild(self.coord1)
                else:
                    s1.addChild(self.trans1)
                s1.addChild(dimSymbol(symbol,invert=not(inv)))
                self.marks.addChild(s1)
                s2 = coin.SoSeparator()
                if symbol == "Circle":
                    s2.addChild(self.coord2)
                else:
                    s2.addChild(self.trans2)
                s2.addChild(dimSymbol(symbol,invert=inv))
                self.marks.addChild(s2)
                self.node.insertChild(self.marks,2)
                self.node3d.insertChild(self.marks,2)
                vobj.Object.touch()
        else:
            self.updateData(vobj.Object,"Start")

    def doubleClicked(self,vobj):
        self.setEdit(vobj)

    def getDisplayModes(self,vobj):
        return ["2D","3D"]

    def getDefaultDisplayMode(self):
        if hasattr(self,"defaultmode"):
            return self.defaultmode
        else:
            return ["2D","3D"][getParam("dimstyle",0)]

    def setDisplayMode(self,mode):
        return mode

    def getIcon(self):
        return """
            /* XPM */
            static char * dim_xpm[] = {
            "16 16 4 1",
            "   c None",
            ".  c #000000",
            "+  c #FFFF00",
            "@  c #FFFFFF",
            "                ",
            "                ",
            "     .    .     ",
            "    ..    ..    ",
            "   .+.    .+.   ",
            "  .++.    .++.  ",
            " .+++. .. .+++. ",
            ".++++. .. .++++.",
            " .+++. .. .+++. ",
            "  .++.    .++.  ",
            "   .+.    .+.   ",
            "    ..    ..    ",
            "     .    .     ",
            "                ",
            "                ",
            "                "};
            """

    def __getstate__(self):
        return self.Object.ViewObject.DisplayMode

    def __setstate__(self,state):
        if state:
            self.defaultmode = state
            self.setDisplayMode(state)

class _AngularDimension(_DraftObject):
    "The Draft AngularDimension object"
    def __init__(self, obj):
        _DraftObject.__init__(self,obj,"AngularDimension")
        obj.addProperty("App::PropertyAngle","FirstAngle","Draft",QT_TRANSLATE_NOOP("App::Property","Start angle of the dimension"))
        obj.addProperty("App::PropertyAngle","LastAngle","Draft",QT_TRANSLATE_NOOP("App::Property","End angle of the dimension"))
        obj.addProperty("App::PropertyVectorDistance","Dimline","Draft",QT_TRANSLATE_NOOP("App::Property","Point through which the dimension line passes"))
        obj.addProperty("App::PropertyVectorDistance","Center","Draft",QT_TRANSLATE_NOOP("App::Property","The center point of this dimension"))
        obj.addProperty("App::PropertyVector","Normal","Draft",QT_TRANSLATE_NOOP("App::Property","The normal direction of this dimension"))
        obj.addProperty("App::PropertyLink","Support","Draft",QT_TRANSLATE_NOOP("App::Property","The object measured by this dimension"))
        obj.addProperty("App::PropertyLinkSubList","LinkedGeometry","Draft",QT_TRANSLATE_NOOP("App::Property","The geometry this dimension is linked to"))
        obj.addProperty("App::PropertyAngle","Angle","Draft",QT_TRANSLATE_NOOP("App::Property","The measurement of this dimension"))
        obj.FirstAngle = 0
        obj.LastAngle = 90
        obj.Dimline = FreeCAD.Vector(0,1,0)
        obj.Center = FreeCAD.Vector(0,0,0)

    def onChanged(self,obj,prop):
        if hasattr(obj,"Angle"):
            obj.setEditorMode('Angle',1)
        if hasattr(obj,"Normal"):
            obj.setEditorMode('Normal',2)
        if hasattr(obj,"Support"):
            obj.setEditorMode('Support',2)

    def execute(self, fp):
        if fp.ViewObject:
            fp.ViewObject.update()

class _ViewProviderAngularDimension(_ViewProviderDraft):
    "A View Provider for the Draft Angular Dimension object"
    def __init__(self, obj):
        obj.addProperty("App::PropertyLength","FontSize","Draft",QT_TRANSLATE_NOOP("App::Property","Font size"))
        obj.addProperty("App::PropertyInteger","Decimals","Draft",QT_TRANSLATE_NOOP("App::Property","The number of decimals to show"))
        obj.addProperty("App::PropertyString","FontName","Draft",QT_TRANSLATE_NOOP("App::Property","Font name"))
        obj.addProperty("App::PropertyLength","ArrowSize","Draft",QT_TRANSLATE_NOOP("App::Property","Arrow size"))
        obj.addProperty("App::PropertyLength","TextSpacing","Draft",QT_TRANSLATE_NOOP("App::Property","The spacing between the text and the dimension line"))
        obj.addProperty("App::PropertyEnumeration","ArrowType","Draft",QT_TRANSLATE_NOOP("App::Property","Arrow type"))
        obj.addProperty("App::PropertyFloat","LineWidth","Draft",QT_TRANSLATE_NOOP("App::Property","Line width"))
        obj.addProperty("App::PropertyColor","LineColor","Draft",QT_TRANSLATE_NOOP("App::Property","Line color"))
        obj.addProperty("App::PropertyBool","FlipArrows","Draft",QT_TRANSLATE_NOOP("App::Property","Rotate the dimension arrows 180 degrees"))
        obj.addProperty("App::PropertyBool","ShowUnit","Draft",QT_TRANSLATE_NOOP("App::Property","Show the unit suffix"))
        obj.addProperty("App::PropertyVectorDistance","TextPosition","Draft",QT_TRANSLATE_NOOP("App::Property","The position of the text. Leave (0,0,0) for automatic position"))
        obj.addProperty("App::PropertyString","Override","Draft",QT_TRANSLATE_NOOP("App::Property","Text override. Use 'dim' to insert the dimension length"))
        obj.FontSize = getParam("textheight",0.20)
        obj.FontName = getParam("textfont","")
        obj.TextSpacing = getParam("dimspacing",0.05)
        obj.ArrowSize = getParam("arrowsize",0.1)
        obj.ArrowType = arrowtypes
        obj.ArrowType = arrowtypes[getParam("dimsymbol",0)]
        obj.Override = ''
        obj.Decimals = getParam("dimPrecision",2)
        obj.ShowUnit = getParam("showUnit",True)
        _ViewProviderDraft.__init__(self,obj)

    def attach(self, vobj):
        from pivy import coin
        self.Object = vobj.Object
        self.color = coin.SoBaseColor()
        self.color.rgb.setValue(vobj.LineColor[0],vobj.LineColor[1],vobj.LineColor[2])
        self.font = coin.SoFont()
        self.font3d = coin.SoFont()
        self.text = coin.SoAsciiText()
        self.text3d = coin.SoText2()
        self.text.string = "d" # some versions of coin crash if string is not set
        self.text3d.string = "d"
        self.text.justification = self.text3d.justification = coin.SoAsciiText.CENTER
        self.textpos = coin.SoTransform()
        label = coin.SoSeparator()
        label.addChild(self.textpos)
        label.addChild(self.color)
        label.addChild(self.font)
        label.addChild(self.text)
        label3d = coin.SoSeparator()
        label3d.addChild(self.textpos)
        label3d.addChild(self.color)
        label3d.addChild(self.font3d)
        label3d.addChild(self.text3d)
        self.coord1 = coin.SoCoordinate3()
        self.trans1 = coin.SoTransform()
        self.coord2 = coin.SoCoordinate3()
        self.trans2 = coin.SoTransform()
        self.marks = coin.SoSeparator()
        self.drawstyle = coin.SoDrawStyle()
        self.coords = coin.SoCoordinate3()
        self.arc = coin.SoType.fromName("SoBrepEdgeSet").createInstance()
        self.node = coin.SoGroup()
        self.node.addChild(self.color)
        self.node.addChild(self.drawstyle)
        self.node.addChild(self.coords)
        self.node.addChild(self.arc)
        self.node.addChild(self.marks)
        self.node.addChild(label)
        self.node3d = coin.SoGroup()
        self.node3d.addChild(self.color)
        self.node3d.addChild(self.drawstyle)
        self.node3d.addChild(self.coords)
        self.node3d.addChild(self.arc)
        self.node3d.addChild(self.marks)
        self.node3d.addChild(label3d)
        vobj.addDisplayMode(self.node,"2D")
        vobj.addDisplayMode(self.node3d,"3D")
        self.updateData(vobj.Object,None)
        self.onChanged(vobj,"FontSize")
        self.onChanged(vobj,"FontName")
        self.onChanged(vobj,"ArrowType")
        self.onChanged(vobj,"LineColor")

    def updateData(self, obj, prop):
        if hasattr(self,"arc"):
            from pivy import coin
            import Part, DraftGeomUtils
            import DraftGui
            text = None
            ivob = None
            arcsegs = 24

            # calculate the arc data
            if DraftVecUtils.isNull(obj.Normal):
                norm = Vector(0,0,1)
            else:
                norm = obj.Normal
            radius = (obj.Dimline.sub(obj.Center)).Length
            self.circle = Part.makeCircle(radius,obj.Center,norm,obj.FirstAngle.Value,obj.LastAngle.Value)
            self.p2 = self.circle.Vertexes[0].Point
            self.p3 = self.circle.Vertexes[-1].Point
            mp = DraftGeomUtils.findMidpoint(self.circle.Edges[0])
            ray = mp.sub(obj.Center)

            # set text value
            if obj.LastAngle.Value > obj.FirstAngle.Value:
                a = obj.LastAngle.Value - obj.FirstAngle.Value
            else:
                a = (360 - obj.FirstAngle.Value) + obj.LastAngle.Value
            su = True
            if hasattr(obj.ViewObject,"ShowUnit"):
                su = obj.ViewObject.ShowUnit
            if hasattr(obj.ViewObject,"Decimals"):
                self.string = DraftGui.displayExternal(a,obj.ViewObject.Decimals,'Angle',su)
            else:
                self.string = DraftGui.displayExternal(a,None,'Angle',su)
            if obj.ViewObject.Override:
                self.string = obj.ViewObject.Override.replace("$dim",\
                    self.string)
            self.text.string = self.text3d.string = stringencodecoin(self.string)

            # check display mode
            try:
                m = obj.ViewObject.DisplayMode
            except: # swallow all exceptions here since it always fails on first run (Displaymode enum no set yet)
                m = ["2D","3D"][getParam("dimstyle",0)]

            # set the arc
            if m == "3D":
                # calculate the spacing of the text
                spacing = (len(self.string)*obj.ViewObject.FontSize.Value)/8.0
                pts1 = []
                cut = None
                pts2 = []
                for i in range(arcsegs+1):
                    p = self.circle.valueAt(self.circle.FirstParameter+((self.circle.LastParameter-self.circle.FirstParameter)/arcsegs)*i)
                    if (p.sub(mp)).Length <= spacing:
                        if cut == None:
                            cut = i
                    else:
                        if cut == None:
                            pts1.append([p.x,p.y,p.z])
                        else:
                            pts2.append([p.x,p.y,p.z])
                self.coords.point.setValues(pts1+pts2)
                i1 = len(pts1)
                i2 = i1+len(pts2)
                self.arc.coordIndex.setValues(0,len(pts1)+len(pts2)+1,list(range(len(pts1)))+[-1]+list(range(i1,i2)))
                if (len(pts1) >= 3) and (len(pts2) >= 3):
                    self.circle1 = Part.Arc(Vector(pts1[0][0],pts1[0][1],pts1[0][2]),Vector(pts1[1][0],pts1[1][1],pts1[1][2]),Vector(pts1[-1][0],pts1[-1][1],pts1[-1][2])).toShape()
                    self.circle2 = Part.Arc(Vector(pts2[0][0],pts2[0][1],pts2[0][2]),Vector(pts2[1][0],pts2[1][1],pts2[1][2]),Vector(pts2[-1][0],pts2[-1][1],pts2[-1][2])).toShape()
            else:
                pts = []
                for i in range(arcsegs+1):
                    p = self.circle.valueAt(self.circle.FirstParameter+((self.circle.LastParameter-self.circle.FirstParameter)/arcsegs)*i)
                    pts.append([p.x,p.y,p.z])
                self.coords.point.setValues(pts)
                self.arc.coordIndex.setValues(0,arcsegs+1,list(range(arcsegs+1)))

            # set the arrow coords and rotation
            self.trans1.translation.setValue((self.p2.x,self.p2.y,self.p2.z))
            self.coord1.point.setValue((self.p2.x,self.p2.y,self.p2.z))
            self.trans2.translation.setValue((self.p3.x,self.p3.y,self.p3.z))
            self.coord2.point.setValue((self.p3.x,self.p3.y,self.p3.z))
            # calculate small chords to make arrows look better
            arrowlength = 4*obj.ViewObject.ArrowSize.Value
            u1 = (self.circle.valueAt(self.circle.FirstParameter+arrowlength)).sub(self.circle.valueAt(self.circle.FirstParameter)).normalize()
            u2 = (self.circle.valueAt(self.circle.LastParameter)).sub(self.circle.valueAt(self.circle.LastParameter-arrowlength)).normalize()
            if hasattr(obj.ViewObject,"FlipArrows"):
                if obj.ViewObject.FlipArrows:
                    u1 = u1.negative()
                    u2 = u2.negative()
            w2 = self.circle.Curve.Axis
            w1 = w2.negative()
            v1 = w1.cross(u1)
            v2 = w2.cross(u2)
            q1 = FreeCAD.Placement(DraftVecUtils.getPlaneRotation(u1,v1,w1)).Rotation.Q
            q2 = FreeCAD.Placement(DraftVecUtils.getPlaneRotation(u2,v2,w2)).Rotation.Q
            self.trans1.rotation.setValue((q1[0],q1[1],q1[2],q1[3]))
            self.trans2.rotation.setValue((q2[0],q2[1],q2[2],q2[3]))

            # setting text pos & rot
            self.tbase = mp
            if hasattr(obj.ViewObject,"TextPosition"):
                if not DraftVecUtils.isNull(obj.ViewObject.TextPosition):
                    self.tbase = obj.ViewObject.TextPosition

            u3 = ray.cross(norm).normalize()
            v3 = norm.cross(u3)
            r = FreeCAD.Placement(DraftVecUtils.getPlaneRotation(u3,v3,norm)).Rotation
            offset = r.multVec(Vector(0,1,0))

            if hasattr(obj.ViewObject,"TextSpacing"):
                offset = DraftVecUtils.scaleTo(offset,obj.ViewObject.TextSpacing.Value)
            else:
                offset = DraftVecUtils.scaleTo(offset,0.05)
            if m == "3D":
                offset = offset.negative()
            self.tbase = self.tbase.add(offset)
            q = r.Q
            self.textpos.translation.setValue([self.tbase.x,self.tbase.y,self.tbase.z])
            self.textpos.rotation = coin.SbRotation(q[0],q[1],q[2],q[3])

            # set the angle property
            if round(obj.Angle,precision()) != round(a,precision()):
                obj.Angle = a

    def onChanged(self, vobj, prop):
        if prop == "FontSize":
            if hasattr(self,"font"):
                self.font.size = vobj.FontSize.Value
            if hasattr(self,"font3d"):
                self.font3d.size = vobj.FontSize.Value*100
            vobj.Object.touch()
        elif prop == "FontName":
            if hasattr(self,"font") and hasattr(self,"font3d"):
                self.font.name = self.font3d.name = str(vobj.FontName)
                vobj.Object.touch()
        elif prop == "LineColor":
            if hasattr(self,"color"):
                c = vobj.LineColor
                self.color.rgb.setValue(c[0],c[1],c[2])
        elif prop == "LineWidth":
            if hasattr(self,"drawstyle"):
                self.drawstyle.lineWidth = vobj.LineWidth
        elif prop in ["ArrowSize","ArrowType"]:
            if hasattr(self,"node") and hasattr(self,"p2"):
                from pivy import coin

                if not hasattr(vobj,"ArrowType"):
                    return

                # set scale
                symbol = arrowtypes.index(vobj.ArrowType)
                s = vobj.ArrowSize.Value
                self.trans1.scaleFactor.setValue((s,s,s))
                self.trans2.scaleFactor.setValue((s,s,s))

                # remove existing nodes
                self.node.removeChild(self.marks)
                self.node3d.removeChild(self.marks)

                # set new nodes
                self.marks = coin.SoSeparator()
                self.marks.addChild(self.color)
                s1 = coin.SoSeparator()
                if symbol == "Circle":
                    s1.addChild(self.coord1)
                else:
                    s1.addChild(self.trans1)
                s1.addChild(dimSymbol(symbol,invert=False))
                self.marks.addChild(s1)
                s2 = coin.SoSeparator()
                if symbol == "Circle":
                    s2.addChild(self.coord2)
                else:
                    s2.addChild(self.trans2)
                s2.addChild(dimSymbol(symbol,invert=True))
                self.marks.addChild(s2)
                self.node.insertChild(self.marks,2)
                self.node3d.insertChild(self.marks,2)
                vobj.Object.touch()
        else:
            self.updateData(vobj.Object, None)

    def doubleClicked(self,vobj):
        self.setEdit(vobj)

    def getDisplayModes(self,obj):
        modes=[]
        modes.extend(["2D","3D"])
        return modes

    def getDefaultDisplayMode(self):
        if hasattr(self,"defaultmode"):
            return self.defaultmode
        else:
            return ["2D","3D"][getParam("dimstyle",0)]

    def getIcon(self):
        return """
                        /* XPM */
                        static char * dim_xpm[] = {
                        "16 16 4 1",
                        "   c None",
                        ".  c #000000",
                        "+  c #FFFF00",
                        "@  c #FFFFFF",
                        "                ",
                        "                ",
                        "     .    .     ",
                        "    ..    ..    ",
                        "   .+.    .+.   ",
                        "  .++.    .++.  ",
                        " .+++. .. .+++. ",
                        ".++++. .. .++++.",
                        " .+++. .. .+++. ",
                        "  .++.    .++.  ",
                        "   .+.    .+.   ",
                        "    ..    ..    ",
                        "     .    .     ",
                        "                ",
                        "                ",
                        "                "};
                        """

    def __getstate__(self):
        return self.Object.ViewObject.DisplayMode

    def __setstate__(self,state):
        if state:
            self.defaultmode = state
            self.setDisplayMode(state)


class _Rectangle(_DraftObject):
    "The Rectangle object"

    def __init__(self, obj):
        _DraftObject.__init__(self,obj,"Rectangle")
        obj.addProperty("App::PropertyDistance","Length","Draft",QT_TRANSLATE_NOOP("App::Property","Length of the rectangle"))
        obj.addProperty("App::PropertyDistance","Height","Draft",QT_TRANSLATE_NOOP("App::Property","Height of the rectange"))
        obj.addProperty("App::PropertyLength","FilletRadius","Draft",QT_TRANSLATE_NOOP("App::Property","Radius to use to fillet the corners"))
        obj.addProperty("App::PropertyLength","ChamferSize","Draft",QT_TRANSLATE_NOOP("App::Property","Size of the chamfer to give to the corners"))
        obj.addProperty("App::PropertyBool","MakeFace","Draft",QT_TRANSLATE_NOOP("App::Property","Create a face"))
        obj.addProperty("App::PropertyInteger","Rows","Draft",QT_TRANSLATE_NOOP("App::Property","Horizontal subdivisions of this rectange"))
        obj.addProperty("App::PropertyInteger","Columns","Draft",QT_TRANSLATE_NOOP("App::Property","Vertical subdivisions of this rectange"))
        obj.MakeFace = getParam("fillmode",True)
        obj.Length=1
        obj.Height=1
        obj.Rows=1
        obj.Columns=1

    def execute(self, obj):
        if (obj.Length.Value != 0) and (obj.Height.Value != 0):
            import Part, DraftGeomUtils
            plm = obj.Placement
            shape = None
            if hasattr(obj,"Rows") and hasattr(obj,"Columns"):
                if obj.Rows > 1:
                    rows = obj.Rows
                else:
                    rows = 1
                if obj.Columns > 1:
                    columns = obj.Columns
                else:
                    columns = 1
                if (rows > 1) or (columns > 1):
                    shapes = []
                    l = obj.Length.Value/columns
                    h = obj.Height.Value/rows
                    for i in range(columns):
                        for j in range(rows):
                            p1 = Vector(i*l,j*h,0)
                            p2 = Vector(p1.x+l,p1.y,p1.z)
                            p3 = Vector(p1.x+l,p1.y+h,p1.z)
                            p4 = Vector(p1.x,p1.y+h,p1.z)
                            p = Part.makePolygon([p1,p2,p3,p4,p1])
                            if "ChamferSize" in obj.PropertiesList:
                                if obj.ChamferSize.Value != 0:
                                    w = DraftGeomUtils.filletWire(p,obj.ChamferSize.Value,chamfer=True)
                                    if w:
                                        p = w
                            if "FilletRadius" in obj.PropertiesList:
                                if obj.FilletRadius.Value != 0:
                                    w = DraftGeomUtils.filletWire(p,obj.FilletRadius.Value)
                                    if w:
                                        p = w
                            if hasattr(obj,"MakeFace"):
                                if obj.MakeFace:
                                    p = Part.Face(p)
                            shapes.append(p)
                    if shapes:
                        shape = Part.makeCompound(shapes)
            if not shape:
                p1 = Vector(0,0,0)
                p2 = Vector(p1.x+obj.Length.Value,p1.y,p1.z)
                p3 = Vector(p1.x+obj.Length.Value,p1.y+obj.Height.Value,p1.z)
                p4 = Vector(p1.x,p1.y+obj.Height.Value,p1.z)
                shape = Part.makePolygon([p1,p2,p3,p4,p1])
                if "ChamferSize" in obj.PropertiesList:
                    if obj.ChamferSize.Value != 0:
                        w = DraftGeomUtils.filletWire(shape,obj.ChamferSize.Value,chamfer=True)
                        if w:
                            shape = w
                if "FilletRadius" in obj.PropertiesList:
                    if obj.FilletRadius.Value != 0:
                        w = DraftGeomUtils.filletWire(shape,obj.FilletRadius.Value)
                        if w:
                            shape = w
                if hasattr(obj,"MakeFace"):
                    if obj.MakeFace:
                        shape = Part.Face(shape)
                else:
                    shape = Part.Face(shape)
            obj.Shape = shape
            obj.Placement = plm
        obj.positionBySupport()

class _ViewProviderRectangle(_ViewProviderDraft):
    def __init__(self,vobj):
        _ViewProviderDraft.__init__(self,vobj)
        vobj.addProperty("App::PropertyFile","TextureImage","Draft",QT_TRANSLATE_NOOP("App::Property","Defines a texture image (overrides hatch patterns)"))

class _Circle(_DraftObject):
    "The Circle object"

    def __init__(self, obj):
        _DraftObject.__init__(self,obj,"Circle")
        obj.addProperty("App::PropertyAngle","FirstAngle","Draft",QT_TRANSLATE_NOOP("App::Property","Start angle of the arc"))
        obj.addProperty("App::PropertyAngle","LastAngle","Draft",QT_TRANSLATE_NOOP("App::Property","End angle of the arc (for a full circle, give it same value as First Angle)"))
        obj.addProperty("App::PropertyLength","Radius","Draft",QT_TRANSLATE_NOOP("App::Property","Radius of the circle"))
        obj.addProperty("App::PropertyBool","MakeFace","Draft",QT_TRANSLATE_NOOP("App::Property","Create a face"))
        obj.MakeFace = getParam("fillmode",True)

    def execute(self, obj):
        import Part
        plm = obj.Placement
        shape = Part.makeCircle(obj.Radius.Value,Vector(0,0,0),Vector(0,0,1),obj.FirstAngle.Value,obj.LastAngle.Value)
        if obj.FirstAngle.Value == obj.LastAngle.Value:
            shape = Part.Wire(shape)
            if hasattr(obj,"MakeFace"):
                if obj.MakeFace:
                    shape = Part.Face(shape)
            else:
                shape = Part.Face(shape)
        obj.Shape = shape
        obj.Placement = plm
        obj.positionBySupport()

class _Ellipse(_DraftObject):
    "The Circle object"

    def __init__(self, obj):
        _DraftObject.__init__(self,obj,"Ellipse")
        obj.addProperty("App::PropertyAngle","FirstAngle","Draft",QT_TRANSLATE_NOOP("App::Property","Start angle of the arc"))
        obj.addProperty("App::PropertyAngle","LastAngle","Draft",QT_TRANSLATE_NOOP("App::Property","End angle of the arc (for a full circle, give it same value as First Angle)"))
        obj.addProperty("App::PropertyLength","MinorRadius","Draft",QT_TRANSLATE_NOOP("App::Property","The minor radius of the ellipse"))
        obj.addProperty("App::PropertyLength","MajorRadius","Draft",QT_TRANSLATE_NOOP("App::Property","The major radius of the ellipse"))
        obj.addProperty("App::PropertyBool","MakeFace","Draft",QT_TRANSLATE_NOOP("App::Property","Create a face"))
        obj.MakeFace = getParam("fillmode",True)

    def execute(self, obj):
        import Part
        plm = obj.Placement
        if obj.MajorRadius.Value < obj.MinorRadius.Value:
            msg(translate("Error: Major radius is smaller than the minor radius"))
            return
        if obj.MajorRadius.Value and obj.MinorRadius.Value:
            ell = Part.Ellipse(Vector(0,0,0),obj.MajorRadius.Value,obj.MinorRadius.Value)
            shape = ell.toShape()
            if hasattr(obj,"FirstAngle"):
                if obj.FirstAngle.Value != obj.LastAngle.Value:
                    a1 = obj.FirstAngle.getValueAs(FreeCAD.Units.Radian)
                    a2 = obj.LastAngle.getValueAs(FreeCAD.Units.Radian)
                    shape = Part.ArcOfEllipse(ell,a1,a2).toShape()
            shape = Part.Wire(shape)
            if shape.isClosed():
                if hasattr(obj,"MakeFace"):
                    if obj.MakeFace:
                        shape = Part.Face(shape)
                else:
                    shape = Part.Face(shape)
            obj.Shape = shape
            obj.Placement = plm
        obj.positionBySupport()

class _Wire(_DraftObject):
    "The Wire object"

    def __init__(self, obj):
        _DraftObject.__init__(self,obj,"Wire")
        obj.addProperty("App::PropertyVectorList","Points","Draft",QT_TRANSLATE_NOOP("App::Property","The vertices of the wire"))
        obj.addProperty("App::PropertyBool","Closed","Draft",QT_TRANSLATE_NOOP("App::Property","If the wire is closed or not"))
        obj.addProperty("App::PropertyLink","Base","Draft",QT_TRANSLATE_NOOP("App::Property","The base object is the wire is formed from 2 objects"))
        obj.addProperty("App::PropertyLink","Tool","Draft",QT_TRANSLATE_NOOP("App::Property","The tool object is the wire is formed from 2 objects"))
        obj.addProperty("App::PropertyVectorDistance","Start","Draft",QT_TRANSLATE_NOOP("App::Property","The start point of this line"))
        obj.addProperty("App::PropertyVectorDistance","End","Draft",QT_TRANSLATE_NOOP("App::Property","The end point of this line"))
        obj.addProperty("App::PropertyLength","Length","Draft",QT_TRANSLATE_NOOP("App::Property","The length of this line"))
        obj.addProperty("App::PropertyLength","FilletRadius","Draft",QT_TRANSLATE_NOOP("App::Property","Radius to use to fillet the corners"))
        obj.addProperty("App::PropertyLength","ChamferSize","Draft",QT_TRANSLATE_NOOP("App::Property","Size of the chamfer to give to the corners"))
        obj.addProperty("App::PropertyBool","MakeFace","Draft",QT_TRANSLATE_NOOP("App::Property","Create a face if this object is closed"))
        obj.addProperty("App::PropertyInteger","Subdivisions","Draft",QT_TRANSLATE_NOOP("App::Property","The number of subdivisions of each edge"))
        obj.MakeFace = getParam("fillmode",True)
        obj.Closed = False

    def execute(self, obj):
        import Part, DraftGeomUtils
        plm = obj.Placement
        if obj.Base and (not obj.Tool):
            if obj.Base.isDerivedFrom("Sketcher::SketchObject"):
                shape = obj.Base.Shape.copy()
                if obj.Base.Shape.isClosed():
                    if hasattr(obj,"MakeFace"):
                        if obj.MakeFace:
                            shape = Part.Face(shape)
                    else:
                        shape = Part.Face(shape)
                obj.Shape = shape
        elif obj.Base and obj.Tool:
            if obj.Base.isDerivedFrom("Part::Feature") and obj.Tool.isDerivedFrom("Part::Feature"):
                if (not obj.Base.Shape.isNull()) and (not obj.Tool.Shape.isNull()):
                    sh1 = obj.Base.Shape.copy()
                    sh2 = obj.Tool.Shape.copy()
                    shape = sh1.fuse(sh2)
                    if DraftGeomUtils.isCoplanar(shape.Faces):
                        shape = DraftGeomUtils.concatenate(shape)
                        obj.Shape = shape
                        p = []
                        for v in shape.Vertexes: p.append(v.Point)
                        if obj.Points != p: obj.Points = p
        elif obj.Points:
            if obj.Points[0] == obj.Points[-1]:
                if not obj.Closed: obj.Closed = True
                obj.Points.pop()
            if obj.Closed and (len(obj.Points) > 2):
                pts = obj.Points
                if hasattr(obj,"Subdivisions"):
                    if obj.Subdivisions > 0:
                        npts = []
                        for i in range(len(pts)):
                            p1 = pts[i]
                            npts.append(pts[i])
                            if i == len(pts)-1:
                                p2 = pts[0]
                            else:
                                p2 = pts[i+1]
                            v = p2.sub(p1)
                            v = DraftVecUtils.scaleTo(v,v.Length/(obj.Subdivisions+1))
                            for j in range(obj.Subdivisions):
                                npts.append(p1.add(FreeCAD.Vector(v).multiply(j+1)))
                        pts = npts
                shape = Part.makePolygon(pts+[pts[0]])
                if "FilletRadius" in obj.PropertiesList:
                    if obj.FilletRadius.Value != 0:
                        w = DraftGeomUtils.filletWire(shape,obj.FilletRadius.Value)
                        if w:
                            shape = w
                try:
                    if hasattr(obj,"MakeFace"):
                        if obj.MakeFace:
                            shape = Part.Face(shape)
                    else:
                        shape = Part.Face(shape)
                except Part.OCCError:
                    pass
            else:
                edges = []
                pts = obj.Points[1:]
                lp = obj.Points[0]
                for p in pts:
                    if not DraftVecUtils.equals(lp,p):
                        if hasattr(obj,"Subdivisions"):
                            if obj.Subdivisions > 0:
                                npts = []
                                v = p.sub(lp)
                                v = DraftVecUtils.scaleTo(v,v.Length/(obj.Subdivisions+1))
                                edges.append(Part.Line(lp,lp.add(v)).toShape())
                                lv = lp.add(v)
                                for j in range(obj.Subdivisions):
                                    edges.append(Part.Line(lv,lv.add(v)).toShape())
                                    lv = lv.add(v)
                            else:
                                edges.append(Part.Line(lp,p).toShape())
                        else:
                            edges.append(Part.Line(lp,p).toShape())
                        lp = p
                try:
                    shape = Part.Wire(edges)
                except Part.OCCError:
                    print "Error wiring edges"
                    shape = None
                if "ChamferSize" in obj.PropertiesList:
                    if obj.ChamferSize.Value != 0:
                        w = DraftGeomUtils.filletWire(shape,obj.ChamferSize.Value,chamfer=True)
                        if w:
                            shape = w
                if "FilletRadius" in obj.PropertiesList:
                    if obj.FilletRadius.Value != 0:
                        w = DraftGeomUtils.filletWire(shape,obj.FilletRadius.Value)
                        if w:
                            shape = w
            if shape:
                obj.Shape = shape
                if hasattr(obj,"Length"):
                    obj.Length = shape.Length
        obj.Placement = plm
        obj.positionBySupport()
        self.onChanged(obj,"Placement")

    def onChanged(self, obj, prop):
        if prop == "Start":
            pts = obj.Points
            invpl = FreeCAD.Placement(obj.Placement).inverse()
            realfpstart = invpl.multVec(obj.Start)
            if pts:
                if pts[0] != realfpstart:
                    pts[0] = realfpstart
                    obj.Points = pts
        elif prop == "End":
            pts = obj.Points
            invpl = FreeCAD.Placement(obj.Placement).inverse()
            realfpend = invpl.multVec(obj.End)
            if len(pts) > 1:
                if pts[-1] != realfpend:
                    pts[-1] = realfpend
                    obj.Points = pts
        elif prop == "Length":
            if obj.Shape and not obj.Shape.isNull():
                if obj.Length.Value != obj.Shape.Length:
                    if len(obj.Points) == 2:
                        v = obj.Points[-1].sub(obj.Points[0])
                        v = DraftVecUtils.scaleTo(v,obj.Length.Value)
                        obj.Points = [obj.Points[0],obj.Points[0].add(v)]

        elif prop == "Placement":
            pl = FreeCAD.Placement(obj.Placement)
            if len(obj.Points) >= 2:
                displayfpstart = pl.multVec(obj.Points[0])
                displayfpend = pl.multVec(obj.Points[-1])
                if obj.Start != displayfpstart:
                    obj.Start = displayfpstart
                if obj.End != displayfpend:
                    obj.End = displayfpend
            if len(obj.Points) > 2:
                obj.setEditorMode('Start',2)
                obj.setEditorMode('End',2)
                if hasattr(obj,"Length"):
                    obj.setEditorMode('Length',2)


class _ViewProviderWire(_ViewProviderDraft):
    "A View Provider for the Wire object"
    def __init__(self, obj):
        _ViewProviderDraft.__init__(self,obj)
        obj.addProperty("App::PropertyBool","EndArrow","Draft",QT_TRANSLATE_NOOP("App::Property","Displays a dim symbol at the end of the wire"))
        obj.addProperty("App::PropertyLength","ArrowSize","Draft",QT_TRANSLATE_NOOP("App::Property","Arrow size"))
        obj.addProperty("App::PropertyEnumeration","ArrowType","Draft",QT_TRANSLATE_NOOP("App::Property","Arrow type"))
        obj.ArrowSize = getParam("arrowsize",0.1)
        obj.ArrowType = arrowtypes
        obj.ArrowType = arrowtypes[getParam("dimsymbol",0)]

    def attach(self, obj):
        from pivy import coin
        self.Object = obj.Object
        col = coin.SoBaseColor()
        col.rgb.setValue(obj.LineColor[0],obj.LineColor[1],obj.LineColor[2])
        self.coords = coin.SoTransform()
        self.pt = coin.SoSeparator()
        self.pt.addChild(col)
        self.pt.addChild(self.coords)
        self.symbol = dimSymbol()
        self.pt.addChild(self.symbol)
        _ViewProviderDraft.attach(self,obj)
        self.onChanged(obj,"EndArrow")

    def updateData(self, obj, prop):
        if prop == "Points":
            if obj.Points:
                p = obj.Points[-1]
                if hasattr(self,"coords"):
                    self.coords.translation.setValue((p.x,p.y,p.z))
                    if len(obj.Points) >= 2:
                        v1 = obj.Points[-2].sub(obj.Points[-1])
                        if not DraftVecUtils.isNull(v1):
                            v1.normalize()
                            import DraftGeomUtils
                            v2 = DraftGeomUtils.getNormal(obj.Shape)
                            if DraftVecUtils.isNull(v2):
                                v2 = Vector(0,0,1)
                            v3 = v1.cross(v2).negative()
                            q = FreeCAD.Placement(DraftVecUtils.getPlaneRotation(v1,v3,v2)).Rotation.Q
                            self.coords.rotation.setValue((q[0],q[1],q[2],q[3]))
        return

    def onChanged(self, vobj, prop):
        if prop in ["EndArrow","ArrowSize","ArrowType","Visibility"]:
            rn = vobj.RootNode
            if hasattr(self,"pt") and hasattr(vobj,"EndArrow"):
                if vobj.EndArrow and vobj.Visibility:
                    self.pt.removeChild(self.symbol)
                    s = arrowtypes.index(vobj.ArrowType)
                    self.symbol = dimSymbol(s)
                    self.pt.addChild(self.symbol)
                    self.updateData(vobj.Object,"Points")
                    if hasattr(vobj,"ArrowSize"):
                        s = vobj.ArrowSize
                    else:
                        s = getParam("arrowsize",0.1)
                    self.coords.scaleFactor.setValue((s,s,s))
                    rn.addChild(self.pt)
                else:
                    if self.symbol:
                        if self.pt.findChild(self.symbol) != -1:
                            self.pt.removeChild(self.symbol)
                        if rn.findChild(self.pt) != -1:
                            rn.removeChild(self.pt)
        _ViewProviderDraft.onChanged(self,vobj,prop)
        return

    def claimChildren(self):
        if hasattr(self.Object,"Base"):
            return [self.Object.Base,self.Object.Tool]
        return []

class _Polygon(_DraftObject):
    "The Polygon object"

    def __init__(self, obj):
        _DraftObject.__init__(self,obj,"Polygon")
        obj.addProperty("App::PropertyInteger","FacesNumber","Draft",QT_TRANSLATE_NOOP("App::Property","Number of faces"))
        obj.addProperty("App::PropertyLength","Radius","Draft",QT_TRANSLATE_NOOP("App::Property","Radius of the control circle"))
        obj.addProperty("App::PropertyEnumeration","DrawMode","Draft",QT_TRANSLATE_NOOP("App::Property","How the polygon must be drawn from the control circle"))
        obj.addProperty("App::PropertyLength","FilletRadius","Draft",QT_TRANSLATE_NOOP("App::Property","Radius to use to fillet the corners"))
        obj.addProperty("App::PropertyLength","ChamferSize","Draft",QT_TRANSLATE_NOOP("App::Property","Size of the chamfer to give to the corners"))
        obj.addProperty("App::PropertyBool","MakeFace","Draft",QT_TRANSLATE_NOOP("App::Property","Create a face"))
        obj.MakeFace = getParam("fillmode",True)
        obj.DrawMode = ['inscribed','circumscribed']
        obj.FacesNumber = 0
        obj.Radius = 1

    def execute(self, obj):
        if (obj.FacesNumber >= 3) and (obj.Radius.Value > 0):
            import Part, DraftGeomUtils
            plm = obj.Placement
            angle = (math.pi*2)/obj.FacesNumber
            if obj.DrawMode == 'inscribed':
                delta = obj.Radius.Value
            else:
                delta = obj.Radius.Value/math.cos(angle/2.0)
            pts = [Vector(delta,0,0)]
            for i in range(obj.FacesNumber-1):
                ang = (i+1)*angle
                pts.append(Vector(delta*math.cos(ang),delta*math.sin(ang),0))
            pts.append(pts[0])
            shape = Part.makePolygon(pts)
            if "ChamferSize" in obj.PropertiesList:
                if obj.ChamferSize.Value != 0:
                    w = DraftGeomUtils.filletWire(shape,obj.ChamferSize.Value,chamfer=True)
                    if w:
                        shape = w
            if "FilletRadius" in obj.PropertiesList:
                if obj.FilletRadius.Value != 0:
                    w = DraftGeomUtils.filletWire(shape,obj.FilletRadius.Value)
                    if w:
                        shape = w
            if hasattr(obj,"MakeFace"):
                if obj.MakeFace:
                    shape = Part.Face(shape)
            else:
                shape = Part.Face(shape)
            obj.Shape = shape
            obj.Placement = plm
        obj.positionBySupport()


class _DrawingView(_DraftObject):
    "The Draft DrawingView object"
    def __init__(self, obj):
        _DraftObject.__init__(self,obj,"DrawingView")
        obj.addProperty("App::PropertyVector","Direction","Shape View",QT_TRANSLATE_NOOP("App::Property","Projection direction"))
        obj.addProperty("App::PropertyFloat","LineWidth","View Style",QT_TRANSLATE_NOOP("App::Property","The width of the lines inside this object"))
        obj.addProperty("App::PropertyLength","FontSize","View Style",QT_TRANSLATE_NOOP("App::Property","The size of the texts inside this object"))
        obj.addProperty("App::PropertyLength","LineSpacing","View Style",QT_TRANSLATE_NOOP("App::Property","The spacing between lines of text"))
        obj.addProperty("App::PropertyColor","LineColor","View Style",QT_TRANSLATE_NOOP("App::Property","The color of the projected objects"))
        obj.addProperty("App::PropertyLink","Source","Base",QT_TRANSLATE_NOOP("App::Property","The linked object"))
        obj.addProperty("App::PropertyEnumeration","FillStyle","View Style",QT_TRANSLATE_NOOP("App::Property","Shape Fill Style"))
        obj.addProperty("App::PropertyEnumeration","LineStyle","View Style",QT_TRANSLATE_NOOP("App::Property","Line Style"))
        obj.addProperty("App::PropertyBool","AlwaysOn","View Style",QT_TRANSLATE_NOOP("App::Property","If checked, source objects are displayed regardless of being visible in the 3D model"))
        obj.FillStyle = ['shape color'] + list(svgpatterns().keys())
        obj.LineStyle = ['Solid','Dashed','Dotted','Dashdot']
        obj.LineWidth = 0.35
        obj.FontSize = 12

    def execute(self, obj):
        result = ""
        if hasattr(obj,"Source"):
            if obj.Source:
                if hasattr(obj,"LineStyle"):
                    ls = obj.LineStyle
                else:
                    ls = None
                if hasattr(obj,"LineColor"):
                    lc = obj.LineColor
                else:
                    lc = None
                if hasattr(obj,"LineSpacing"):
                    lp = obj.LineSpacing
                else:
                    lp = None
                if obj.Source.isDerivedFrom("App::DocumentObjectGroup"):
                    svg = ""
                    shapes = []
                    others = []
                    objs = getGroupContents([obj.Source])
                    for o in objs:
                        v = o.ViewObject.isVisible()
                        if hasattr(obj,"AlwaysOn"):
                            if obj.AlwaysOn:
                                v = True
                        if v:
                            svg += getSVG(o,obj.Scale,obj.LineWidth,obj.FontSize.Value,obj.FillStyle,obj.Direction,ls,lc,lp)
                else:
                    svg = getSVG(obj.Source,obj.Scale,obj.LineWidth,obj.FontSize.Value,obj.FillStyle,obj.Direction,ls,lc,lp)
                result += '<g id="' + obj.Name + '"'
                result += ' transform="'
                result += 'rotate('+str(obj.Rotation)+','+str(obj.X)+','+str(obj.Y)+') '
                result += 'translate('+str(obj.X)+','+str(obj.Y)+') '
                result += 'scale('+str(obj.Scale)+','+str(-obj.Scale)+')'
                result += '">'
                result += svg
                result += '</g>'
        obj.ViewResult = result

    def getDXF(self,obj):
        "returns a DXF fragment"
        return getDXF(obj)

class _BSpline(_DraftObject):
    "The BSpline object"

    def __init__(self, obj):
        _DraftObject.__init__(self,obj,"BSpline")
        obj.addProperty("App::PropertyVectorList","Points","Draft", QT_TRANSLATE_NOOP("App::Property","The points of the b-spline"))
        obj.addProperty("App::PropertyBool","Closed","Draft",QT_TRANSLATE_NOOP("App::Property","If the b-spline is closed or not"))
        obj.addProperty("App::PropertyBool","MakeFace","Draft",QT_TRANSLATE_NOOP("App::Property","Create a face if this spline is closed"))
        obj.MakeFace = getParam("fillmode",True)
        obj.Closed = False
        obj.Points = []
        self.assureProperties(obj)

    def assureProperties(self, obj): # for Compatibility with older versions
        if not hasattr(obj, "Parameterization"):
            obj.addProperty("App::PropertyFloat","Parameterization","Draft",QT_TRANSLATE_NOOP("App::Property","Parameterization factor"))
            obj.Parameterization = 1.0
            self.knotSeq = []

    def parameterization (self, pts, a, closed):
        # Computes a knot Sequence for a set of points
        # fac (0-1) : parameterization factor
        # fac=0 -> Uniform / fac=0.5 -> Centripetal / fac=1.0 -> Chord-Length
        if closed: # we need to add the first point as the end point
            pts.append(pts[0])
        params = [0]
        for i in range(1,len(pts)):
            p = pts[i].sub(pts[i-1])
            pl = pow(p.Length,a)
            params.append(params[-1] + pl)
        return params

    def onChanged(self, fp, prop):
        if prop == "Parameterization":
            if fp.Parameterization < 0.:
                fp.Parameterization = 0.
            if fp.Parameterization > 1.0:
                fp.Parameterization = 1.0

    def execute(self, obj):
        import Part
        from DraftTools import msg,translate
        self.assureProperties(obj)
        if obj.Points:
            self.knotSeq = self.parameterization(obj.Points, obj.Parameterization, obj.Closed)
            plm = obj.Placement
            if obj.Closed and (len(obj.Points) > 2):
                if obj.Points[0] == obj.Points[-1]:  # should not occur, but OCC will crash
                    msg(translate('draft',  "_BSpline.createGeometry: Closed with same first/last Point. Geometry not updated.\n"), "error")
                    return
                spline = Part.BSplineCurve()
                spline.interpolate(obj.Points, PeriodicFlag = True, Parameters = self.knotSeq)
                # DNC: bug fix: convert to face if closed
                shape = Part.Wire(spline.toShape())
                # Creating a face from a closed spline cannot be expected to always work
                # Usually, if the spline is not flat the call of Part.Face() fails
                try:
                    if hasattr(obj,"MakeFace"):
                        if obj.MakeFace:
                            shape = Part.Face(shape)
                    else:
                        shape = Part.Face(shape)
                except Part.OCCError:
                    pass
                obj.Shape = shape
            else:
                spline = Part.BSplineCurve()
                spline.interpolate(obj.Points, PeriodicFlag = False, Parameters = self.knotSeq)
                obj.Shape = spline.toShape()
            obj.Placement = plm
        obj.positionBySupport()

# for compatibility with older versions
_ViewProviderBSpline = _ViewProviderWire

class _BezCurve(_DraftObject):
    "The BezCurve object"

    def __init__(self, obj):
        _DraftObject.__init__(self,obj,"BezCurve")
        obj.addProperty("App::PropertyVectorList","Points","Draft",QT_TRANSLATE_NOOP("App::Property","The points of the Bezier curve"))
        obj.addProperty("App::PropertyInteger","Degree","Draft",QT_TRANSLATE_NOOP("App::Property","The degree of the Bezier function"))
        obj.addProperty("App::PropertyIntegerList","Continuity","Draft",QT_TRANSLATE_NOOP("App::Property","Continuity"))
        obj.addProperty("App::PropertyBool","Closed","Draft",QT_TRANSLATE_NOOP("App::Property","If the Bezier curve should be closed or not"))
        obj.addProperty("App::PropertyBool","MakeFace","Draft",QT_TRANSLATE_NOOP("App::Property","Create a face if this curve is closed"))
        obj.MakeFace = getParam("fillmode",True)
        obj.Closed = False
        obj.Degree = 3
        obj.Continuity = []
        #obj.setEditorMode("Degree",2)#hide
        obj.setEditorMode("Continuity",1)#ro

    def execute(self, fp):
        self.createGeometry(fp)
        fp.positionBySupport()

    def _segpoleslst(self,fp):
        """split the points into segments"""
        if not fp.Closed and len(fp.Points) >= 2: #allow lower degree segement
            poles=fp.Points[1:]
        elif fp.Closed and len(fp.Points) >= fp.Degree: #drawable
            #poles=fp.Points[1:(fp.Degree*(len(fp.Points)//fp.Degree))]+fp.Points[0:1]
            poles=fp.Points[1:]+fp.Points[0:1]
        else:
            poles=[]
        return [poles[x:x+fp.Degree] for x in \
            range(0, len(poles), (fp.Degree or 1))]

    def resetcontinuity(self,fp):
        fp.Continuity = [0]*(len(self._segpoleslst(fp))-1+1*fp.Closed)
        #nump= len(fp.Points)-1+fp.Closed*1
        #numsegments = (nump // fp.Degree) + 1 * (nump % fp.Degree > 0) -1
        #fp.Continuity = [0]*numsegments

    def onChanged(self, fp, prop):
        if prop == 'Closed': # if remove the last entry when curve gets opened
            oldlen = len(fp.Continuity)
            newlen = (len(self._segpoleslst(fp))-1+1*fp.Closed)
            if oldlen > newlen:
                fp.Continuity = fp.Continuity[:newlen]
            if oldlen < newlen:
                fp.Continuity = fp.Continuity + [0]*(newlen-oldlen)
        if hasattr(fp,'Closed') and fp.Closed and prop in  ['Points','Degree','Closed'] and\
                len(fp.Points) % fp.Degree: # the curve editing tools can't handle extra points
            fp.Points=fp.Points[:(fp.Degree*(len(fp.Points)//fp.Degree))] #for closed curves
        if prop in ["Degree"] and fp.Degree >= 1: #reset Continuity
            self.resetcontinuity(fp)
        if prop in ["Points","Degree","Continuity","Closed"]:
            self.createGeometry(fp)

    def createGeometry(self,fp):
        import Part
        plm = fp.Placement
        if fp.Points:
            startpoint=fp.Points[0]
            edges = []
            for segpoles in self._segpoleslst(fp):
#                if len(segpoles) == fp.Degree # would skip additional poles
                 c = Part.BezierCurve() #last segment may have lower degree
                 c.increase(len(segpoles))
                 c.setPoles([startpoint]+segpoles)
                 edges.append(Part.Edge(c))
                 startpoint = segpoles[-1]
            w = Part.Wire(edges)
            if fp.Closed and w.isClosed():
                try:
                    if hasattr(fp,"MakeFace"):
                        if fp.MakeFace:
                            w = Part.Face(w)
                    else:
                        w = Part.Face(w)
                except Part.OCCError:
                    pass
            fp.Shape = w
        fp.Placement = plm

    @classmethod
    def symmetricpoles(cls,knot, p1, p2):
        """make two poles symmetric respective to the knot"""
        p1h=FreeCAD.Vector(p1)
        p2h=FreeCAD.Vector(p2)
        p1h.multiply(0.5)
        p2h.multiply(0.5)
        return ( knot+p1h-p2h , knot+p2h-p1h)

    @classmethod
    def tangentpoles(cls,knot, p1, p2,allowsameside=False):
        """make two poles have the same tangent at knot"""
        p12n=p2.sub(p1)
        p12n.normalize()
        p1k=knot-p1
        p2k=knot-p2
        p1k_= FreeCAD.Vector(p12n)
        kon12=(p1k*p12n)
        if allowsameside or not (kon12 < 0 or p2k*p12n > 0):# instead of moving
            p1k_.multiply(kon12)
            pk_k=knot-p1-p1k_
            return (p1+pk_k,p2+pk_k)
        else:
            return cls.symmetricpoles(knot, p1, p2)

    @staticmethod
    def modifysymmetricpole(knot,p1):
        """calculate the coordinates of the opposite pole
        of a symmetric knot"""
        return knot+knot-p1

    @staticmethod
    def modifytangentpole(knot,p1,oldp2):
        """calculate the coordinates of the opposite pole
        of a tangent knot"""
        pn=knot-p1
        pn.normalize()
        pn.multiply((knot-oldp2).Length)
        return pn+knot

# for compatibility with older versions ???????
_ViewProviderBezCurve = _ViewProviderWire

class _Block(_DraftObject):
    "The Block object"

    def __init__(self, obj):
        _DraftObject.__init__(self,obj,"Block")
        obj.addProperty("App::PropertyLinkList","Components","Draft",QT_TRANSLATE_NOOP("App::Property","The components of this block"))

    def execute(self, obj):
        import Part
        plm = obj.Placement
        shps = []
        for c in obj.Components:
            shps.append(c.Shape)
        if shps:
            shape = Part.makeCompound(shps)
            obj.Shape = shape
        obj.Placement = plm
        obj.positionBySupport()

class _Shape2DView(_DraftObject):
    "The Shape2DView object"

    def __init__(self,obj):
        obj.addProperty("App::PropertyLink","Base","Draft",QT_TRANSLATE_NOOP("App::Property","The base object this 2D view must represent"))
        obj.addProperty("App::PropertyVector","Projection","Draft",QT_TRANSLATE_NOOP("App::Property","The projection vector of this object"))
        obj.addProperty("App::PropertyEnumeration","ProjectionMode","Draft",QT_TRANSLATE_NOOP("App::Property","The way the viewed object must be projected"))
        obj.addProperty("App::PropertyIntegerList","FaceNumbers","Draft",QT_TRANSLATE_NOOP("App::Property","The indices of the faces to be projected in Individual Faces mode"))
        obj.addProperty("App::PropertyBool","HiddenLines","Draft",QT_TRANSLATE_NOOP("App::Property","Show hidden lines"))
        obj.addProperty("App::PropertyBool","Tessellation","Draft",QT_TRANSLATE_NOOP("App::Property","Tessellate Ellipses and BSplines into line segments"))
        obj.addProperty("App::PropertyFloat","SegmentLength","Draft",QT_TRANSLATE_NOOP("App::Property","Length of line segments if tessellating Ellipses or BSplines into line segments"))
        obj.Projection = Vector(0,0,1)
        obj.ProjectionMode = ["Solid","Individual Faces","Cutlines","Cutfaces"]
        obj.HiddenLines = False
        obj.Tessellation = False
        obj.SegmentLength = .05
        _DraftObject.__init__(self,obj,"Shape2DView")

    def getProjected(self,obj,shape,direction):
        "returns projected edges from a shape and a direction"
        import Part,Drawing,DraftGeomUtils
        edges = []
        groups = Drawing.projectEx(shape,direction)
        for g in groups[0:5]:
            if g:
                edges.append(g)
        if hasattr(obj,"HiddenLines"):
            if obj.HiddenLines:
                for g in groups[5:]:
                    edges.append(g)
        #return Part.makeCompound(edges)
        if hasattr(obj,"Tessellation") and obj.Tessellation:
            return DraftGeomUtils.cleanProjection(Part.makeCompound(edges),obj.Tessellation,obj.SegmentLength)
        else:
            return Part.makeCompound(edges)
            #return DraftGeomUtils.cleanProjection(Part.makeCompound(edges))

    def execute(self,obj):
        import DraftGeomUtils
        obj.positionBySupport()
        pl = obj.Placement
        if obj.Base:
            if getType(obj.Base) == "SectionPlane":
                if obj.Base.Objects:
                    onlysolids = True
                    if hasattr(obj.Base,"OnlySolids"):
                        onlysolids = obj.Base.OnlySolids
                    import Arch, Part, Drawing
                    objs = getGroupContents(obj.Base.Objects,walls=True)
                    objs = removeHidden(objs)
                    shapes = []
                    for o in objs:
                        if o.isDerivedFrom("Part::Feature"):
                            if onlysolids:
                                shapes.extend(o.Shape.Solids)
                            else:
                                shapes.append(o.Shape.copy())
                    cutp,cutv,iv =Arch.getCutVolume(obj.Base.Shape,shapes)
                    cuts = []
                    if obj.ProjectionMode == "Solid":
                        for sh in shapes:
                            if cutv:
                                if sh.Volume < 0:
                                    sh.reverse()
                                #if cutv.BoundBox.intersect(sh.BoundBox):
                                #    c = sh.cut(cutv)
                                #else:
                                #    c = sh.copy()
                                c = sh.cut(cutv)
                                if onlysolids:
                                    cuts.extend(c.Solids)
                                else:
                                    cuts.append(c)
                            else:
                                if onlysolids:
                                    cuts.extend(sh.Solids)
                                else:
                                    cuts.append(sh.copy())
                        comp = Part.makeCompound(cuts)
                        opl = FreeCAD.Placement(obj.Base.Placement)
                        proj = opl.Rotation.multVec(FreeCAD.Vector(0,0,1))
                        obj.Shape = self.getProjected(obj,comp,proj)
                    elif obj.ProjectionMode in ["Cutlines","Cutfaces"]:
                        for sh in shapes:
                            if sh.Volume < 0:
                                sh.reverse()
                            c = sh.section(cutp)
                            if (obj.ProjectionMode == "Cutfaces") and (sh.ShapeType == "Solid"):
                                try:
                                    c = Part.Wire(Part.__sortEdges__(c.Edges))
                                except Part.OCCError:
                                    pass
                                else:
                                    try:
                                        c = Part.Face(c)
                                    except Part.OCCError:
                                        pass
                            cuts.append(c)
                        comp = Part.makeCompound(cuts)
                        opl = FreeCAD.Placement(obj.Base.Placement)
                        comp.Placement = opl.inverse()
                        if comp:
                            obj.Shape = comp

            elif obj.Base.isDerivedFrom("App::DocumentObjectGroup"):
                shapes = []
                objs = getGroupContents(obj.Base)
                for o in objs:
                    if o.isDerivedFrom("Part::Feature"):
                        if o.Shape:
                            if not o.Shape.isNull():
                                shapes.append(o.Shape)
                if shapes:
                    import Part
                    comp = Part.makeCompound(shapes)
                    obj.Shape = self.getProjected(obj,comp,obj.Projection)

            elif obj.Base.isDerivedFrom("Part::Feature"):
                if not DraftVecUtils.isNull(obj.Projection):
                    if obj.ProjectionMode == "Solid":
                        obj.Shape = self.getProjected(obj,obj.Base.Shape,obj.Projection)
                    elif obj.ProjectionMode == "Individual Faces":
                        import Part
                        if obj.FaceNumbers:
                            faces = []
                            for i in obj.FaceNumbers:
                                if len(obj.Base.Shape.Faces) > i:
                                    faces.append(obj.Base.Shape.Faces[i])
                            views = []
                            for f in faces:
                                views.append(self.getProjected(obj,f,obj.Projection))
                            if views:
                                obj.Shape = Part.makeCompound(views)
        if not DraftGeomUtils.isNull(pl):
            obj.Placement = pl

class _Array(_DraftObject):
    "The Draft Array object"

    def __init__(self,obj):
        _DraftObject.__init__(self,obj,"Array")
        obj.addProperty("App::PropertyLink","Base","Draft",QT_TRANSLATE_NOOP("App::Property","The base object that must be duplicated"))
        obj.addProperty("App::PropertyEnumeration","ArrayType","Draft",QT_TRANSLATE_NOOP("App::Property","The type of array to create"))
        obj.addProperty("App::PropertyVector","Axis","Draft",QT_TRANSLATE_NOOP("App::Property","The axis direction"))
        obj.addProperty("App::PropertyInteger","NumberX","Draft",QT_TRANSLATE_NOOP("App::Property","Number of copies in X direction"))
        obj.addProperty("App::PropertyInteger","NumberY","Draft",QT_TRANSLATE_NOOP("App::Property","Number of copies in Y direction"))
        obj.addProperty("App::PropertyInteger","NumberZ","Draft",QT_TRANSLATE_NOOP("App::Property","Number of copies in Z direction"))
        obj.addProperty("App::PropertyInteger","NumberPolar","Draft",QT_TRANSLATE_NOOP("App::Property","Number of copies"))
        obj.addProperty("App::PropertyVectorDistance","IntervalX","Draft",QT_TRANSLATE_NOOP("App::Property","Distance and orientation of intervals in X direction"))
        obj.addProperty("App::PropertyVectorDistance","IntervalY","Draft",QT_TRANSLATE_NOOP("App::Property","Distance and orientation of intervals in Y direction"))
        obj.addProperty("App::PropertyVectorDistance","IntervalZ","Draft",QT_TRANSLATE_NOOP("App::Property","Distance and orientation of intervals in Z direction"))
        obj.addProperty("App::PropertyVectorDistance","IntervalAxis","Draft",QT_TRANSLATE_NOOP("App::Property","Distance and orientation of intervals in Axis direction"))
        obj.addProperty("App::PropertyVectorDistance","Center","Draft",QT_TRANSLATE_NOOP("App::Property","Center point"))
        obj.addProperty("App::PropertyAngle","Angle","Draft",QT_TRANSLATE_NOOP("App::Property","Angle to cover with copies"))
        obj.addProperty("App::PropertyBool","Fuse","Draft",QT_TRANSLATE_NOOP("App::Property","Specifies if copies must be fused (slower)"))
        obj.ArrayType = ['ortho','polar']
        obj.NumberX = 1
        obj.NumberY = 1
        obj.NumberZ = 1
        obj.NumberPolar = 1
        obj.IntervalX = Vector(1,0,0)
        obj.IntervalY = Vector(0,1,0)
        obj.IntervalZ = Vector(0,0,1)
        obj.IntervalZ = Vector(0,0,0)
        obj.Angle = 360
        obj.Axis = Vector(0,0,1)
        obj.Fuse = False

    def execute(self,obj):
        import DraftGeomUtils
        if hasattr(obj,"Fuse"):
            fuse = obj.Fuse
        else:
            fuse = False
        if obj.Base:
            pl = obj.Placement
            if obj.ArrayType == "ortho":
                sh = self.rectArray(obj.Base.Shape,obj.IntervalX,obj.IntervalY,
                                    obj.IntervalZ,obj.NumberX,obj.NumberY,obj.NumberZ,fuse)
            else:
                av = obj.IntervalAxis if hasattr(obj,"IntervalAxis") else None
                sh = self.polarArray(obj.Base.Shape,obj.Center,obj.Angle.Value,obj.NumberPolar,obj.Axis,av,fuse)
            obj.Shape = sh
            if not DraftGeomUtils.isNull(pl):
                obj.Placement = pl

    def rectArray(self,shape,xvector,yvector,zvector,xnum,ynum,znum,fuse=False):
        import Part
        base = [shape.copy()]
        for xcount in range(xnum):
            currentxvector=Vector(xvector).multiply(xcount)
            if not xcount==0:
                nshape = shape.copy()
                nshape.translate(currentxvector)
                base.append(nshape)
            for ycount in range(ynum):
                currentyvector=FreeCAD.Vector(currentxvector)
                currentyvector=currentyvector.add(Vector(yvector).multiply(ycount))
                if not ycount==0:
                    nshape = shape.copy()
                    nshape.translate(currentyvector)
                    base.append(nshape)
                for zcount in range(znum):
                    currentzvector=FreeCAD.Vector(currentyvector)
                    currentzvector=currentzvector.add(Vector(zvector).multiply(zcount))
                    if not zcount==0:
                        nshape = shape.copy()
                        nshape.translate(currentzvector)
                        base.append(nshape)
        if fuse and len(base) > 1:
            return base[0].multiFuse(base[1:]).removeSplitter()
        else:
            return Part.makeCompound(base)

    def polarArray(self,shape,center,angle,num,axis,axisvector,fuse=False):
        #print("angle ",angle," num ",num)
        import Part
        if angle == 360:
            fraction = float(angle)/num
        else:
            if num == 0:
                return shape
            fraction = float(angle)/(num-1)
        base = [shape.copy()]
        for i in range(num-1):
            currangle = fraction + (i*fraction)
            nshape = shape.copy()
            nshape.rotate(DraftVecUtils.tup(center), DraftVecUtils.tup(axis), currangle)
            if axisvector:
                if not DraftVecUtils.isNull(axisvector):
                    nshape.translate(FreeCAD.Vector(axisvector).multiply(i+1))
            base.append(nshape)
        if fuse and len(base) > 1:
            return base[0].multiFuse(base[1:]).removeSplitter()
        else:
            return Part.makeCompound(base)


class _PathArray(_DraftObject):
    "The Draft Path Array object"

    def __init__(self,obj):
        _DraftObject.__init__(self,obj,"PathArray")
        obj.addProperty("App::PropertyLink","Base","Draft",QT_TRANSLATE_NOOP("App::Property","The base object that must be duplicated"))
        obj.addProperty("App::PropertyLink","PathObj","Draft",QT_TRANSLATE_NOOP("App::Property","The path object along which to distribute objects"))
        obj.addProperty("App::PropertyLinkSubList","PathSubs",QT_TRANSLATE_NOOP("App::Property","Draft","Selected subobjects (edges) of PathObj"))
        obj.addProperty("App::PropertyInteger","Count","Draft",QT_TRANSLATE_NOOP("App::Property","Number of copies"))
        obj.addProperty("App::PropertyVectorDistance","Xlate","Draft",QT_TRANSLATE_NOOP("App::Property","Optional translation vector"))
        obj.addProperty("App::PropertyBool","Align","Draft",QT_TRANSLATE_NOOP("App::Property","Orientation of Base along path"))
        obj.Count = 2
        obj.PathSubs = []
        obj.Xlate = FreeCAD.Vector(0,0,0)
        obj.Align = False

    def execute(self,obj):
        import FreeCAD
        import Part
        import DraftGeomUtils
        if obj.Base and obj.PathObj:
            pl = obj.Placement
            if obj.PathSubs:
                w = self.getWireFromSubs(obj)
            elif (hasattr(obj.PathObj.Shape,'Wires') and obj.PathObj.Shape.Wires):
                w = obj.PathObj.Shape.Wires[0]
            elif obj.PathObj.Shape.Edges:
                w = Part.Wire(obj.PathObj.Shape.Edges)
            else:
                FreeCAD.Console.PrintLog ("_PathArray.createGeometry: path " + obj.PathObj.Name + " has no edges\n")
                return
            obj.Shape = self.pathArray(obj.Base.Shape,w,obj.Count,obj.Xlate,obj.Align)
            if not DraftGeomUtils.isNull(pl):
                obj.Placement = pl

    def getWireFromSubs(self,obj):
        '''Make a wire from PathObj subelements'''
        import Part
        sl = []
        for sub in obj.PathSubs:
            e = sub[0].Shape.getElement(sub[1])
            sl.append(e)
        return Part.Wire(sl)

    def getParameterFromV0(self, edge, offset):
        '''return parameter at distance offset from edge.Vertexes[0]'''
        '''sb method in Part.TopoShapeEdge???'''
        lpt = edge.valueAt(edge.getParameterByLength(0))
        vpt = edge.Vertexes[0].Point
        if not DraftVecUtils.equals(vpt,lpt):
            # this edge is flipped
            length = edge.Length - offset
        else:
            # this edge is right way around
            length = offset
        return(edge.getParameterByLength(length))

    def orientShape(self,shape,edge,offset,RefPt,xlate,align,normal=None):
        '''Orient shape to tangent at parm offset along edge.'''
        # http://en.wikipedia.org/wiki/Euler_angles
        import Part
        import DraftGeomUtils
        import math
        z = FreeCAD.Vector(0,0,1)                                    # unit +Z  Probably defined elsewhere?
        y = FreeCAD.Vector(0,1,0)                                    # unit +Y
        x = FreeCAD.Vector(1,0,0)                                    # unit +X
        nullv = FreeCAD.Vector(0,0,0)
        nullPlace =FreeCAD.Placement()
        ns = shape.copy()
        ns.Placement.Base = nullPlace.Base                           # reset Placement point so translate goes to right place.
        ns.Placement.Rotation = shape.Placement.Rotation             # preserve global orientation
        ns.translate(RefPt+xlate)
        if not align:
            return ns

        # get local coord system - tangent, normal, binormal, if possible
        t = edge.tangentAt(self.getParameterFromV0(edge,offset))
        t.normalize()
        try:
            if normal:
                n = normal
            else:
                n = edge.normalAt(self.getParameterFromV0(edge,offset))
                n.normalize()
            b = (t.cross(n))
            b.normalize()
        except FreeCAD.Base.FreeCADError:                                                      # no normal defined here
            n = nullv
            b = nullv
            FreeCAD.Console.PrintLog ("Draft PathArray.orientShape - Cannot calculate Path normal.\n")
        lnodes = z.cross(b)
        if lnodes != nullv:
            lnodes.normalize()                                       # Can't normalize null vector.
                                                                     # pathological cases:
        if n == nullv:                                               # 1) can't determine normal, don't align.
            psi = 0.0
            theta = 0.0
            phi = 0.0
            FreeCAD.Console.PrintWarning("Draft PathArray.orientShape - Path normal is Null. Cannot align.\n")
        elif b == z:                                                 # 2) binormal is same as z
            psi = math.degrees(DraftVecUtils.angle(x,t,z))           #    align shape x to tangent
            theta = 0.0
            phi = 0.0
            FreeCAD.Console.PrintLog ("Draft PathArray.orientShape - Aligned to tangent only (b == z).\n")
        else:                                                        # regular case
            psi = math.degrees(DraftVecUtils.angle(x,lnodes,z))
            theta = math.degrees(DraftVecUtils.angle(z,b,lnodes))
            phi = math.degrees(DraftVecUtils.angle(lnodes,t,b))
        if psi != 0.0:
            ns.rotate(RefPt,z,psi)
        if theta != 0.0:
            ns.rotate(RefPt,lnodes,theta)
        if phi != 0.0:
            ns.rotate(RefPt,b,phi)
        return ns

    def pathArray(self,shape,pathwire,count,xlate,align):
        '''Distribute shapes along a path.'''
        import Part
        import DraftGeomUtils
        closedpath = DraftGeomUtils.isReallyClosed(pathwire)
        normal = DraftGeomUtils.getNormal(pathwire)
        path = Part.__sortEdges__(pathwire.Edges)
        ends = []
        cdist = 0
        for e in path:                                                 # find cumulative edge end distance
            cdist += e.Length
            ends.append(cdist)
        base = []
        pt = path[0].Vertexes[0].Point                                 # place the start shape
        ns = self.orientShape(shape,path[0],0,pt,xlate,align,normal)
        base.append(ns)
        if not(closedpath):                                            # closed path doesn't need shape on last vertex
            pt = path[-1].Vertexes[-1].Point                           # place the end shape
            ns = self.orientShape(shape,path[-1],path[-1].Length,pt,xlate,align,normal)
            base.append(ns)
        if count < 3:
            return(Part.makeCompound(base))

        # place the middle shapes
        if closedpath:
            stop = count
        else:
            stop = count - 1
        step = float(cdist)/stop
        remain = 0
        travel = step
        for i in range(1,stop):
            # which edge in path should contain this shape?
            iend = len(ends) - 1                                       # avoids problems with float math travel > ends[-1]
            for j in range(0,len(ends)):
                if travel <= ends[j]:
                    iend = j
                    break
            # place shape at proper spot on proper edge
            remains = ends[iend] - travel
            offset = path[iend].Length - remains
            pt = path[iend].valueAt(self.getParameterFromV0(path[iend],offset))
            ns = self.orientShape(shape,path[iend],offset,pt,xlate,align,normal)
            base.append(ns)
            travel += step
        return(Part.makeCompound(base))

class _Point(_DraftObject):
    "The Draft Point object"
    def __init__(self, obj,x=0,y=0,z=0):
        _DraftObject.__init__(self,obj,"Point")
        obj.addProperty("App::PropertyDistance","X","Draft",QT_TRANSLATE_NOOP("App::Property","X Location")).X = x
        obj.addProperty("App::PropertyDistance","Y","Draft",QT_TRANSLATE_NOOP("App::Property","Y Location")).Y = y
        obj.addProperty("App::PropertyDistance","Z","Draft",QT_TRANSLATE_NOOP("App::Property","Z Location")).Z = z
        mode = 2
        obj.setEditorMode('Placement',mode)

    def execute(self, obj):
        import Part
        shape = Part.Vertex(Vector(obj.X.Value,obj.Y.Value,obj.Z.Value))
        obj.Shape = shape

class _ViewProviderPoint(_ViewProviderDraft):
    "A viewprovider for the Draft Point object"
    def __init__(self, obj):
        _ViewProviderDraft.__init__(self,obj)

    def onChanged(self, vobj, prop):
        mode = 2
        vobj.setEditorMode('LineColor',mode)
        vobj.setEditorMode('LineWidth',mode)
        vobj.setEditorMode('BoundingBox',mode)
        vobj.setEditorMode('Deviation',mode)
        vobj.setEditorMode('DiffuseColor',mode)
        vobj.setEditorMode('DisplayMode',mode)
        vobj.setEditorMode('Lighting',mode)
        vobj.setEditorMode('LineMaterial',mode)
        vobj.setEditorMode('ShapeColor',mode)
        vobj.setEditorMode('ShapeMaterial',mode)
        vobj.setEditorMode('Transparency',mode)

    def getIcon(self):
        return ":/icons/Draft_Dot.svg"

class _Clone(_DraftObject):
    "The Clone object"

    def __init__(self,obj):
        _DraftObject.__init__(self,obj,"Clone")
        obj.addProperty("App::PropertyLinkList","Objects","Draft",QT_TRANSLATE_NOOP("App::Property","The objects included in this scale object"))
        obj.addProperty("App::PropertyVector","Scale","Draft",QT_TRANSLATE_NOOP("App::Property","The scale vector of this object"))
        obj.Scale = Vector(1,1,1)

    def execute(self,obj):
        import Part, DraftGeomUtils
        pl = obj.Placement
        shapes = []
        if obj.isDerivedFrom("Part::Part2DObject"):
            # if our clone is 2D, make sure all its linked geometry is 2D too
            for o in obj.Objects:
                if not o.isDerivedFrom("Part::Part2DObject"):
                    FreeCAD.Console.PrintWarning("Warning 2D Clone "+obj.Name+" contains 3D geometry")
                    return
        objs = getGroupContents(obj.Objects)
        for o in objs:
            if o.isDerivedFrom("Part::Feature"):
                if o.Shape.isNull():
                    return
                sh = o.Shape.copy()
                m = FreeCAD.Matrix()
                if hasattr(obj,"Scale") and not sh.isNull():
                    sx,sy,sz = obj.Scale
                    if not DraftVecUtils.equals(obj.Scale,Vector(1,1,1)):
                        op = sh.Placement
                        sh.Placement = FreeCAD.Placement()
                        m.scale(obj.Scale)
                        if sx == sy == sz:
                            sh.transformShape(m)
                        else:
                            sh = sh.transformGeometry(m)
                        sh.Placement = op
                if not sh.isNull():
                    shapes.append(sh)
        if shapes:
            if len(shapes) == 1:
                obj.Shape = shapes[0]
                obj.Placement = shapes[0].Placement
            else:
                obj.Shape = Part.makeCompound(shapes)
        obj.Placement = pl
        if hasattr(obj,"positionBySupport"):
            obj.positionBySupport()

    def getSubVolume(self,obj,placement=None):
        # this allows clones of arch windows to return a subvolume too
        if obj.Objects:
            if hasattr(obj.Objects[0],"Proxy"):
                if hasattr(obj.Objects[0].Proxy,"getSubVolume"):
                    if not placement:
                        # clones must displace the original subvolume too
                        placement = obj.Placement
                    return obj.Objects[0].Proxy.getSubVolume(obj.Objects[0],placement)
        return None

class _ViewProviderClone:
    "a view provider that displays a Clone icon instead of a Draft icon"

    def __init__(self,vobj):
        vobj.Proxy = self

    def getIcon(self):
        return ":/icons/Draft_Clone.svg"

    def __getstate__(self):
        return None

    def __setstate__(self, state):
        return None

    def getDisplayModes(self, vobj):
        modes=[]
        return modes

    def setDisplayMode(self, mode):
        return mode

class _ViewProviderDraftArray(_ViewProviderDraft):
    "a view provider that displays a Array icon instead of a Draft icon"

    def __init__(self,vobj):
        _ViewProviderDraft.__init__(self,vobj)

    def getIcon(self):
        return ":/icons/Draft_Array.svg"

class _ShapeString(_DraftObject):
    "The ShapeString object"

    def __init__(self, obj):
        _DraftObject.__init__(self,obj,"ShapeString")
        obj.addProperty("App::PropertyString","String","Draft",QT_TRANSLATE_NOOP("App::Property","Text string"))
        obj.addProperty("App::PropertyFile","FontFile","Draft",QT_TRANSLATE_NOOP("App::Property","Font file name"))
        obj.addProperty("App::PropertyLength","Size","Draft",QT_TRANSLATE_NOOP("App::Property","Height of text"))
        obj.addProperty("App::PropertyLength","Tracking","Draft",QT_TRANSLATE_NOOP("App::Property","Inter-character spacing"))

    def execute(self, obj):
        import Part
        # import OpenSCAD2Dgeom
        import os
        if obj.String and obj.FontFile:
            if obj.Placement:
                plm = obj.Placement
            CharList = Part.makeWireString(obj.String,obj.FontFile,obj.Size,obj.Tracking)
            SSChars = []

            # test a simple letter to know if we have a sticky font or not
            sticky = False
            testWire = Part.makeWireString("L",obj.FontFile,obj.Size,obj.Tracking)[0][0]
            if testWire.isClosed:
                try:
                    testFace = Part.Face(testWire)
                except Part.OCCError:
                    sticky = True
                else:
                    if not testFace.isValid():
                        sticky = True
            else:
                sticky = True

            for char in CharList:
                if sticky:
                    for CWire in char:
                        SSChars.append(CWire)
                else:
                    CharFaces = []
                    for CWire in char:
                        f = Part.Face(CWire)
                        if f:
                            CharFaces.append(f)
                    # whitespace (ex: ' ') has no faces. This breaks OpenSCAD2Dgeom...
                    if CharFaces:
                        # s = OpenSCAD2Dgeom.Overlappingfaces(CharFaces).makeshape()
                        # s = self.makeGlyph(CharFaces)
                        s = self.makeFaces(char)
                        SSChars.append(s)
            shape = Part.Compound(SSChars)
            obj.Shape = shape
            if plm:
                obj.Placement = plm
        obj.positionBySupport()

    def makeFaces(self, wireChar):
        import Part
        compFaces=[]
        allEdges = []
        wirelist=sorted(wireChar,key=(lambda shape: shape.BoundBox.DiagonalLength),reverse=True)
        fixedwire = []
        for w in wirelist:
            compEdges = Part.Compound(w.Edges)
            compEdges = compEdges.connectEdgesToWires()
            fixedwire.append(compEdges.Wires[0])
        wirelist = fixedwire
        sep_wirelist = []
        while len(wirelist) > 0:
            wire2Face = [wirelist[0]]
            face = Part.Face(wirelist[0])
            for w in wirelist[1:]:
                p = w.Vertexes[0].Point
                u,v = face.Surface.parameter(p)
                if face.isPartOfDomain(u,v):
                    f = Part.Face(w)
                    if face.Orientation == f.Orientation:
                        if f.Surface.Axis * face.Surface.Axis < 0:
                            w.reverse()
                    else:
                        if f.Surface.Axis * face.Surface.Axis > 0:
                            w.reverse()
                    wire2Face.append(w)
                else:
                    sep_wirelist.append(w)
            wirelist = sep_wirelist
            sep_wirelist = []
            face = Part.Face(wire2Face)
            face.validate()
            if face.Surface.Axis.z < 0.0:
                face.reverse()
            compFaces.append(face)
        ret = Part.Compound(compFaces)
        return ret

    def makeGlyph(self, facelist):
        ''' turn list of simple contour faces into a compound shape representing a glyph '''
        ''' remove cuts, fuse overlapping contours, retain islands '''
        import Part
        if len(facelist) == 1:
            return(facelist[0])

        sortedfaces = sorted(facelist,key=(lambda shape: shape.Area),reverse=True)

        biggest = sortedfaces[0]
        result = biggest
        islands =[]
        for face in sortedfaces[1:]:
            bcfA = biggest.common(face).Area
            fA = face.Area
            difA = abs(bcfA - fA)
            eps = epsilon()
#            if biggest.common(face).Area == face.Area:
            if difA <= eps:                              # close enough to zero
                # biggest completely overlaps current face ==> cut
                result = result.cut(face)
#            elif biggest.common(face).Area == 0:
            elif bcfA <= eps:
                # island
                islands.append(face)
            else:
                # partial overlap - (font designer error?)
                result = result.fuse(face)
        #glyphfaces = [result]
        wl = result.Wires
        for w in wl:
            w.fixWire()
        glyphfaces = [Part.Face(wl)]
        glyphfaces.extend(islands)
        ret = Part.Compound(glyphfaces)           # should we fuse these instead of making compound?
        return ret


class _Facebinder(_DraftObject):
    "The Draft Facebinder object"
    def __init__(self,obj):
        _DraftObject.__init__(self,obj,"Facebinder")
        obj.addProperty("App::PropertyLinkSubList","Faces","Draft",QT_TRANSLATE_NOOP("App::Property","Linked faces"))
        obj.addProperty("App::PropertyBool","RemoveSplitter","Draft",QT_TRANSLATE_NOOP("App::Property","Specifies if splitter lines must be removed"))
        obj.addProperty("App::PropertyDistance","Extrusion","Draft",QT_TRANSLATE_NOOP("App::Property","An optional extrusion value to be applied to all faces"))

    def execute(self,obj):
        import Part
        pl = obj.Placement
        if not obj.Faces:
            return
        faces = []
        for sel in obj.Faces:
            for f in sel[1]:
                if "Face" in f:
                    try:
                        fnum = int(f[4:])-1
                        faces.append(sel[0].Shape.Faces[fnum])
                    except(IndexError,Part.OCCError):
                        print("Draft: wrong face index")
                        return
        if not faces:
            return
        try:
            if len(faces) > 1:
                sh = None
                if hasattr(obj,"Extrusion"):
                    if obj.Extrusion.Value:
                        for f in faces:
                            f = f.extrude(f.normalAt(0,0).multiply(obj.Extrusion.Value))
                            if sh:
                                sh = sh.fuse(f)
                            else:
                                sh = f
                if not sh:
                    sh = faces.pop()
                    sh = sh.multiFuse(faces)
                if hasattr(obj,"RemoveSplitter"):
                    if obj.RemoveSplitter:
                        sh = sh.removeSplitter()
                else:
                    sh = sh.removeSplitter()
            else:
                sh = faces[0]
                sh.transformShape(sh.Matrix, True)
        except Part.OCCError:
            print("Draft: error building facebinder")
            return
        obj.Shape = sh
        obj.Placement = pl

    def addSubobjects(self,obj,facelinks):
        "adds facelinks to this facebinder"
        objs = obj.Faces
        for o in facelinks:
            if isinstance(o,tuple) or isinstance(o,list):
                if o[0].Name != obj.Name:
                    objs.append(tuple(o))
            else:
                for el in o.SubElementNames:
                    if "Face" in el:
                        if o.Object.Name != obj.Name:
                            objs.append((o.Object,el))
        obj.Faces = objs
        self.execute(obj)


class _ViewProviderFacebinder(_ViewProviderDraft):
    def __init__(self,vobj):
        _ViewProviderDraft.__init__(self,vobj)

    def setEdit(self,vobj,mode):
        import DraftGui
        taskd = DraftGui.FacebinderTaskPanel()
        taskd.obj = vobj.Object
        taskd.update()
        FreeCADGui.Control.showDialog(taskd)
        return True

    def unsetEdit(self,vobj,mode):
        FreeCADGui.Control.closeDialog()
        return False


class _VisGroup:
    "The VisGroup object"
    def __init__(self,obj):
        self.Type = "VisGroup"
        obj.Proxy = self
        self.Object = obj

    def __getstate__(self):
        return self.Type

    def __setstate__(self,state):
        if state:
            self.Type = state

    def execute(self,obj):
        pass

class _ViewProviderVisGroup:
    "A View Provider for the VisGroup object"
    def __init__(self,vobj):
        vobj.addProperty("App::PropertyColor","LineColor","Base","")
        vobj.addProperty("App::PropertyColor","ShapeColor","Base","")
        vobj.addProperty("App::PropertyFloat","LineWidth","Base","")
        vobj.addProperty("App::PropertyEnumeration","DrawStyle","Base","")
        vobj.addProperty("App::PropertyInteger","Transparency","Base","")
        vobj.DrawStyle = ["Solid","Dashed","Dotted","Dashdot"]
        vobj.LineWidth = 1
        vobj.LineColor = (0.13,0.15,0.37)
        vobj.DrawStyle = "Solid"
        vobj.Proxy = self

    def getIcon(self):
        import Arch_rc
        return ":/icons/Draft_VisGroup.svg"

    def attach(self,vobj):
        self.Object = vobj.Object
        return

    def claimChildren(self):
        return self.Object.Group

    def __getstate__(self):
        return None

    def __setstate__(self,state):
        return None

    def updateData(self,obj,prop):
        if prop == "Group":
            if obj.ViewObject:
                obj.ViewObject.Proxy.onChanged(obj.ViewObject,"LineColor")

    def onChanged(self,vobj,prop):
        if hasattr(vobj,"Object"):
            if vobj.Object:
                if hasattr(vobj.Object,"Group"):
                    if vobj.Object.Group:
                        for o in vobj.Object.Group:
                            if o.ViewObject:
                                for p in ["LineColor","ShapeColor","LineWidth","DrawStyle","Transparency"]:
                                    if hasattr(o.ViewObject,p):
                                        setattr(o.ViewObject,p,getattr(vobj,p))
                                    elif hasattr(o,p):
                                        # for Drawing views
                                        setattr(o,p,getattr(vobj,p))
                                    elif (p == "DrawStyle") and hasattr(o,"LineStyle"):
                                        # Special case in Drawing views
                                        setattr(o,"LineStyle",getattr(vobj,p))
                                if vobj.Object.InList:
                                    # touch the page if something was changed
                                    if vobj.Object.InList[0].isDerivedFrom("Drawing::FeaturePage"):
                                        vobj.Object.InList[0].touch()