Merge branch 'develop' of https://github.com/looooo/freecad.gears into develop

Using expressions instead of filling these values in the `execute` method
has the advantage that the values can be used in other expressions on the
same object. First, the expressions are evaluated, then the feature is
"executed". Previously, the changed values are only available after the
execution and thus had no effect if e.g. used in calculating the
placement of the very same gear (until another recompute happens).

.gitignore

@@ -53,7 +53,7 @@ docs/_build/
 # PyBuilder
 target/
 
-#costum
+#custom
 *.kdev4
 *.lyx~
 .ipynb_checkpoints/

LICENSE

@@ -0,0 +1,674 @@
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+Public License instead of this License.  But first, please read
+<https://www.gnu.org/licenses/why-not-lgpl.html>.

LICENSE.txt

@@ -1,339 +0,0 @@
-GNU GENERAL PUBLIC LICENSE
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-Public License instead of this License.

MANIFEST.in

@@ -1 +1 @@
-recursive-include freecad_gear/freecad/icons *
+recursive-include freecad/gears/icons *

README.md

@@ -1,14 +1,101 @@
-a gearmodule for freecad
+## A Gear module for FreeCAD
+[![Liberapay](http://img.shields.io/liberapay/patrons/looooo.svg?logo=liberapay)](https://liberapay.com/looooo/donate) [![Total alerts](https://img.shields.io/lgtm/alerts/g/looooo/freecad.gears.svg?logo=lgtm&logoWidth=18)](https://lgtm.com/projects/g/looooo/freecad.gears/alerts/) [![Language grade: Python](https://img.shields.io/lgtm/grade/python/g/looooo/freecad.gears.svg?logo=lgtm&logoWidth=18)](https://lgtm.com/projects/g/looooo/freecad.gears/context:python)  
+
+## Requirements
+FreeCAD > v0.16  
+__python > 3 (for python2 use branch py2)__
+
+
+## Supported gear-types
+
+### Cylindric Involute
+* Shifting
+* Helical
+* Double Helical
+* Undercut  
+
+![involute-gear](examples/involute-double-helical-gear.png)
+
+
+### Involute Rack
+![involute-rack](examples/involute-rack.png)
+
+### Cylindric Cycloid
+* Helical
+* Double Helical
+
+![cycloid-gear](examples/cycloid-gear.png)
+
+### Cycloid Rack
+
+![cycloid-rack](examples/cycloid-rack.png)
+
+### Spherical Involute Bevel-Gear
+* Spiral  
+
+![bevel-gear](examples/bevel-gear.png)
+
+### Crown-Gear
+![crown-gear](examples/crown-gear.png)
+
+### Worm-Gear
+![worm-gear](examples/worm-gear.png)
+
+### Timing-Gear
+![timing-gear](examples/timing-gear.png)
+
+### Lantern-Gear
+![lantern-gear](examples/lantern-gear.png)
+
 ---------------------------
 
-* install:
+## Installation
-  * git clone https://github.com/looooo/FCGear.git
-  * link or copy the FCgear/gear into /freecad/Mod (sudo ln -s (path_to_FCGear)/gear (path_to_freecad)/Mod
 
+### Addon Manager  
+Starting from v0.17 it's possible to use the built-in FreeCAD [Addon Manager](https://github.com/FreeCAD/FreeCAD-addons#1-builtin-addon-manager)
+located in the `Tools` > `Addon Manager` dropdown menu.
 
-* create a gear:
+### pip
-  * open freecad
+
-  * go to the gear workbench
+`pip install https://github.com/looooo/FCGear/archive/master.tar.gz`
-  * create new document
+
-  * create a gear (click on gear symbol)
+**Important note:** Most systems have multiple versions of python installed. Make sure the `pip` you're using is used by FreeCAD as well.
-  * change parameters 
+
+## Usage
+
+### Create a gear manually
+* Open freecad
+* Switch to the gear workbench
+* Create new document
+* Create a gear (click on a gear symbol in the toolbar)
+* Change the gear parameters
+
+## Scripted gears
+Use the power of python to automate your gear modeling: 
+
+```python
+import FreeCAD as App
+import freecad.gears.commands
+gear = freecad.gears.commands.CreateInvoluteGear.create()
+gear.teeth = 20
+gear.beta = 20
+gear.height = 10
+gear.double_helix = True
+App.ActiveDocument.recompute()
+Gui.SendMsgToActiveView("ViewFit")
+```
+
+## References
+* Elements of Metric Gear Technology ([PDF](http://qtcgears.com/tools/catalogs/PDF_Q420/Tech.pdf))
+
+### FreeCAD Forum threads
+These are forum threads where FreeCAD Gears has been discussed. If you want to give Feedback
+or report a bug please use the below threads. Please make sure that the report hasn't been reported already
+by browsing this repositories [issue queue](https://github.com/looooo/freecad.gears/issues).   
+* "CONTINUED: involute gear generator preview !" ([thread](https://forum.freecadweb.org/viewtopic.php?f=10&t=4829))  
+* "Bevel gear - module/script/tutorial" ([thread](https://forum.freecadweb.org/viewtopic.php?f=3&t=12878))  
+* "Gears in FreeCAD: FC Gear" ([thread](https://forum.freecadweb.org/viewtopic.php?f=24&t=27381))  
+* "FC Gears: Feedback thread" ([thread](https://forum.freecadweb.org/viewtopic.php?f=8&t=27626))  
+
+# License
+GNU General Public License v3.0

TODO.md

@@ -0,0 +1,6 @@
+#TODO:
+
+## refactoring
+
+- [ ] fp.gear.z -> fp.gear.num_teeth
+- [ ] fp.teeth  -> fp.gear.num_teeth

examples/animation.py

@@ -0,0 +1,29 @@
+# script for bevel-gear animation
+
+from PySide import QtCore
+import FreeCAD as app
+import FreeCADGui as gui
+import numpy as np
+
+doc = app.ActiveDocument
+g2 = doc.Common
+g1 = doc.Common001
+
+timer = QtCore.QTimer()
+
+def make_pics():
+    n = 30
+    for i in range(n):
+        phi = np.pi * 2 / 30 / n
+        g1.Placement.Rotation.Angle += phi * 2
+        g2.Placement.Rotation.Angle -= phi
+        gui.activeDocument().activeView().saveImage('/home/lo/Schreibtisch/animated_gear/gear_{}.png'.format(i) ,300,300,'Current')
+
+def update(*args):
+    print("time")
+    delta_phi = 0.005
+    g1.Placement.Rotation.Angle += delta_phi * 2
+    g2.Placement.Rotation.Angle -= delta_phi
+
+timer.timeout.connect(update)
+timer.start()

freecad/gears/__init__.py

@@ -0,0 +1,20 @@
+# -*- coding: utf-8 -*-
+# ***************************************************************************
+# *                                                                         *
+# * This program is free software: you can redistribute it and/or modify    *
+# * it under the terms of the GNU General Public License as published by    *
+# * the Free Software Foundation, either version 3 of the License, or       *
+# * (at your option) any later version.                                     *
+# *                                                                         *
+# * 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 General Public License for more details.                            *
+# *                                                                         *
+# * You should have received a copy of the GNU General Public License       *
+# * along with this program.  If not, see <http://www.gnu.org/licenses/>.   *
+# *                                                                         *
+# ***************************************************************************
+
+import pygears
+__version__ = pygears.__version__

freecad/gears/commands.py

@@ -0,0 +1,183 @@
+# -*- coding: utf-8 -*-
+# ***************************************************************************
+# *                                                                         *
+# * This program is free software: you can redistribute it and/or modify    *
+# * it under the terms of the GNU General Public License as published by    *
+# * the Free Software Foundation, either version 3 of the License, or       *
+# * (at your option) any later version.                                     *
+# *                                                                         *
+# * 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 General Public License for more details.                            *
+# *                                                                         *
+# * You should have received a copy of the GNU General Public License       *
+# * along with this program.  If not, see <http://www.gnu.org/licenses/>.   *
+# *                                                                         *
+# ***************************************************************************
+
+import os
+import FreeCAD
+import FreeCADGui as Gui
+from .features import ViewProviderGear, InvoluteGear, InternalInvoluteGear, InvoluteGearRack, CycloidGearRack
+from .features import CycloidGear, BevelGear, CrownGear, WormGear, TimingGear, LanternGear, HypoCycloidGear, BaseGear
+from .connector import GearConnector, ViewProviderGearConnector
+
+
+class BaseCommand(object):
+    NAME = ""
+    GEAR_FUNCTION = None
+    ICONDIR = os.path.join(os.path.dirname(__file__), "icons")
+
+    def __init__(self):
+        pass
+
+    def IsActive(self):
+        if FreeCAD.ActiveDocument is None:
+            return False
+        else:
+            return True
+
+    def Activated(self):
+        Gui.doCommandGui("import freecad.gears.commands")
+        Gui.doCommandGui("freecad.gears.commands.{}.create()".format(
+            self.__class__.__name__))
+        FreeCAD.ActiveDocument.recompute()
+        Gui.SendMsgToActiveView("ViewFit")
+
+    @classmethod
+    def create(cls):
+        if FreeCAD.GuiUp:
+            # borrowed from threaded profiles
+            # puts the gear into an active container
+            body = Gui.ActiveDocument.ActiveView.getActiveObject("pdbody")
+            part = Gui.ActiveDocument.ActiveView.getActiveObject("part")
+
+            if body:
+                obj = FreeCAD.ActiveDocument.addObject("PartDesign::FeaturePython", cls.NAME)
+            else:
+                obj = FreeCAD.ActiveDocument.addObject("Part::FeaturePython", cls.NAME)
+            ViewProviderGear(obj.ViewObject, cls.Pixmap)
+            cls.GEAR_FUNCTION(obj)
+
+            if body:
+                body.addObject(obj)
+            elif part:
+                part.Group += [obj]
+        else:
+            obj = FreeCAD.ActiveDocument.addObject("Part::FeaturePython", cls.NAME)
+            cls.GEAR_FUNCTION(obj)
+        return obj
+
+    def GetResources(self):
+        return {'Pixmap': self.Pixmap,
+                'MenuText': self.MenuText,
+                'ToolTip': self.ToolTip}
+
+
+class CreateInvoluteGear(BaseCommand):
+    NAME = "InvoluteGear"
+    GEAR_FUNCTION = InvoluteGear
+    Pixmap = os.path.join(BaseCommand.ICONDIR, 'involutegear.svg')
+    MenuText = 'Involute Gear'
+    ToolTip = 'Create an external involute gear'
+
+
+class CreateInternalInvoluteGear(BaseCommand):
+    NAME = "InternalInvoluteGear"
+    GEAR_FUNCTION = InternalInvoluteGear
+    Pixmap = os.path.join(BaseCommand.ICONDIR, 'internalinvolutegear.svg')
+    MenuText = 'Internal Involute Gear'
+    ToolTip = 'Create an internal involute gear'
+
+
+class CreateInvoluteRack(BaseCommand):
+    NAME = "InvoluteRack"
+    GEAR_FUNCTION = InvoluteGearRack
+    Pixmap = os.path.join(BaseCommand.ICONDIR, 'involuterack.svg')
+    MenuText = 'Involute Rack'
+    ToolTip = 'Create an Involute rack'
+
+class CreateCycloidRack(BaseCommand):
+    NAME = "CycloidRack"
+    GEAR_FUNCTION = CycloidGearRack
+    Pixmap = os.path.join(BaseCommand.ICONDIR, 'cycloidrack.svg')
+    MenuText = 'Cycloid Rack'
+    ToolTip = 'Create an Cycloid rack'
+
+
+class CreateCrownGear(BaseCommand):
+    NAME = "CrownGear"
+    GEAR_FUNCTION = CrownGear
+    Pixmap = os.path.join(BaseCommand.ICONDIR, 'crowngear.svg')
+    MenuText = 'Crown Gear'
+    ToolTip = 'Create a Crown gear'
+
+
+class CreateCycloidGear(BaseCommand):
+    NAME = "CycloidGear"
+    GEAR_FUNCTION = CycloidGear
+    Pixmap = os.path.join(BaseCommand.ICONDIR, 'cycloidgear.svg')
+    MenuText = 'Cycloid Gear'
+    ToolTip = 'Create a Cycloid gear'
+
+
+class CreateBevelGear(BaseCommand):
+    NAME = "BevelGear"
+    GEAR_FUNCTION = BevelGear
+    Pixmap = os.path.join(BaseCommand.ICONDIR, 'bevelgear.svg')
+    MenuText = 'Bevel Gear'
+    ToolTip = 'Create a Bevel gear'
+
+class CreateHypoCycloidGear(BaseCommand):
+    NAME = "HypocycloidGear"
+    GEAR_FUNCTION = HypoCycloidGear
+    Pixmap = os.path.join(BaseCommand.ICONDIR, 'hypocycloidgear.svg')
+    MenuText = 'HypoCycloid Gear'
+    ToolTip = 'Create a HypoCycloid gear with its pins'
+
+
+class CreateWormGear(BaseCommand):
+    NAME = "WormGear"
+    GEAR_FUNCTION = WormGear
+    Pixmap = os.path.join(BaseCommand.ICONDIR, 'wormgear.svg')
+    MenuText = 'Worm Gear'
+    ToolTip = 'Create a Worm gear'
+
+
+class CreateTimingGear(BaseCommand):
+    NAME = "TimingGear"
+    GEAR_FUNCTION = TimingGear
+    Pixmap = os.path.join(BaseCommand.ICONDIR, 'timinggear.svg')
+    MenuText = 'Timing Gear'
+    ToolTip = 'Create a Timing gear'
+
+class CreateLanternGear(BaseCommand):
+    NAME = "LanternGear"
+    GEAR_FUNCTION = LanternGear
+    Pixmap = os.path.join(BaseCommand.ICONDIR, 'lanterngear.svg')
+    MenuText = 'Lantern Gear'
+    ToolTip = 'Create a Lantern gear'
+
+class CreateGearConnector(BaseCommand):
+    NAME = "GearConnector"
+    GEAR_FUNCTION = GearConnector
+    Pixmap = os.path.join(BaseCommand.ICONDIR, 'gearconnector.svg')
+    MenuText = 'Combine two gears'
+    ToolTip = 'Combine two gears'
+
+    def Activated(self):
+        gear1 = Gui.Selection.getSelection()[0]
+        assert isinstance(gear1.Proxy, BaseGear)
+
+        gear2 = Gui.Selection.getSelection()[1]
+        assert isinstance(gear2.Proxy, BaseGear)
+
+        # check if selected objects are beams
+
+        obj = FreeCAD.ActiveDocument.addObject("Part::FeaturePython", self.NAME)
+        GearConnector(obj, gear1, gear2)
+        ViewProviderGearConnector(obj.ViewObject)
+
+        FreeCAD.ActiveDocument.recompute()
+        return obj

freecad/gears/connector.py

@@ -0,0 +1,161 @@
+# -*- coding: utf-8 -*-
+# ***************************************************************************
+# *                                                                         *
+# * This program is free software: you can redistribute it and/or modify    *
+# * it under the terms of the GNU General Public License as published by    *
+# * the Free Software Foundation, either version 3 of the License, or       *
+# * (at your option) any later version.                                     *
+# *                                                                         *
+# * 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 General Public License for more details.                            *
+# *                                                                         *
+# * You should have received a copy of the GNU General Public License       *
+# * along with this program.  If not, see <http://www.gnu.org/licenses/>.   *
+# *                                                                         *
+# ***************************************************************************
+
+import os
+import copy
+import numpy as np
+import FreeCAD
+from pygears import __version__
+from .features import InvoluteGear, CycloidGear, InvoluteGearRack, CycloidGearRack, InternalInvoluteGear
+from pygears.computation import compute_shifted_gears
+
+class ViewProviderGearConnector(object):
+    def __init__(self, vobj, icon_fn=None):
+        # Set this object to the proxy object of the actual view provider
+        vobj.Proxy = self
+        dirname = os.path.dirname(__file__)
+        self.icon_fn = icon_fn or os.path.join(dirname, "icons", "gearconnector.svg")
+            
+    def attach(self, vobj):
+        self.vobj = vobj
+
+    def getIcon(self):
+        return self.icon_fn
+
+    def __getstate__(self):
+        return {"icon_fn": self.icon_fn}
+
+    def __setstate__(self, state):
+        self.icon_fn = state["icon_fn"]
+
+
+class GearConnector(object):
+    def __init__(self, obj, master_gear, slave_gear):
+        obj.addProperty("App::PropertyString", "version", "version", "freecad.gears-version", 1)
+        obj.addProperty("App::PropertyLink","master_gear","gear","master gear", 1)
+        obj.addProperty("App::PropertyLink","slave_gear","gear","slave gear", 1)
+        obj.addProperty("App::PropertyAngle", "angle1", "gear", "angle at which second gear is placed", 0)
+        obj.addProperty("App::PropertyAngle", "angle2", "gear", "angle at which second gear is placed", 1)
+        obj.version = __version__
+        obj.master_gear = master_gear
+        obj.slave_gear = slave_gear
+        obj.angle1 = 0
+        obj.angle2 = 0
+        obj.Proxy = self
+
+    def onChanged(self, fp, prop):
+        # fp.angle2 = fp.master_gear.Placement.Rotation.Angle
+        if isinstance(fp.master_gear.Proxy, InvoluteGear) and isinstance(fp.slave_gear.Proxy, InvoluteGear):
+            angle_master = fp.master_gear.Placement.Rotation.Angle * sum(fp.master_gear.Placement.Rotation.Axis)
+            dw_master = fp.master_gear.dw
+            dw_slave = fp.slave_gear.dw
+            dist = (dw_master + dw_slave) / 2
+            if fp.master_gear.shift != 0 or fp.slave_gear.shift != 0:
+                dist, alpha_w = compute_shifted_gears(
+                    fp.master_gear.module,
+                    np.deg2rad(fp.master_gear.pressure_angle.Value),
+                    fp.master_gear.teeth,
+                    fp.slave_gear.teeth,
+                    fp.master_gear.shift,
+                    fp.slave_gear.shift)
+
+            mat0 = FreeCAD.Matrix()  # unity matrix
+            trans = FreeCAD.Vector(dist)
+            mat0.move(trans)
+            rot = FreeCAD.Rotation(FreeCAD.Vector(0,0,1), fp.angle1).toMatrix()
+            angle2 = dw_master / dw_slave * fp.angle1.Value
+            angle4 = dw_master / dw_slave * np.rad2deg(angle_master)
+            rot2 = FreeCAD.Rotation(FreeCAD.Vector(0,0,1), angle2).toMatrix()
+            angle3 = abs(fp.slave_gear.teeth % 2 - 1) * 180. / fp.slave_gear.teeth
+            rot3 = FreeCAD.Rotation(FreeCAD.Vector(0,0,1), angle3).toMatrix()
+            rot4 = FreeCAD.Rotation(FreeCAD.Vector(0,0,1), -angle4).toMatrix()
+            mat1 = rot * mat0 * rot2 * rot3 * rot4
+            mat1.move(fp.master_gear.Placement.Base)
+            fp.slave_gear.Placement = mat1
+
+        if isinstance(fp.master_gear.Proxy, InternalInvoluteGear) and isinstance(fp.slave_gear.Proxy, InvoluteGear):
+            angle_master = fp.master_gear.Placement.Rotation.Angle * sum(fp.master_gear.Placement.Rotation.Axis)
+            dw_master = fp.master_gear.dw
+            dw_slave = fp.slave_gear.dw
+            dist = (dw_master - dw_slave) / 2
+            if fp.master_gear.shift != 0 or fp.slave_gear.shift != 0:
+                dist, alpha_w = compute_shifted_gears(
+                    fp.master_gear.module,
+                    np.deg2rad(fp.master_gear.pressure_angle.Value),
+                    fp.master_gear.teeth,
+                    fp.slave_gear.teeth,
+                    fp.master_gear.shift,
+                    fp.slave_gear.shift)
+
+            mat0 = FreeCAD.Matrix()  # unity matrix
+            trans = FreeCAD.Vector(dist)
+            mat0.move(trans)
+            rot = FreeCAD.Rotation(FreeCAD.Vector(0,0,1), fp.angle1).toMatrix()
+            angle2 = -dw_master / dw_slave * fp.angle1.Value
+            angle4 = -dw_master / dw_slave * np.rad2deg(angle_master)
+            rot2 = FreeCAD.Rotation(FreeCAD.Vector(0,0,1), angle2).toMatrix()
+            angle3 = abs(fp.slave_gear.teeth % 2 - 1) * 180. / fp.slave_gear.teeth
+            rot3 = FreeCAD.Rotation(FreeCAD.Vector(0,0,1), angle3).toMatrix()
+            rot4 = FreeCAD.Rotation(FreeCAD.Vector(0,0,1), -angle4).toMatrix()
+            mat1 = rot * mat0 * rot2 * rot3 * rot4
+            mat1.move(fp.master_gear.Placement.Base)
+            fp.slave_gear.Placement = mat1
+
+        if ((isinstance(fp.master_gear.Proxy, InvoluteGear) and isinstance(fp.slave_gear.Proxy, InvoluteGearRack))
+            or (isinstance(fp.master_gear.Proxy, CycloidGear) and isinstance(fp.slave_gear.Proxy, CycloidGearRack))):
+            angle_master = fp.master_gear.Placement.Rotation.Angle * sum(fp.master_gear.Placement.Rotation.Axis)
+            dw_master = fp.master_gear.dw.Value
+            dw_slave = 0
+            dist = -(dw_master + dw_slave) / 2
+            mat0 = FreeCAD.Matrix()  # unity matrix
+            mat0.move(FreeCAD.Vector(dist, 0, 0))
+            mat1 = FreeCAD.Matrix()
+            mat1.move(FreeCAD.Vector(0, np.deg2rad(fp.angle1.Value) * dw_master / 2, 0))
+            mat2 = FreeCAD.Matrix()
+            mat2.move(FreeCAD.Vector(0, -np.deg2rad(fp.angle2.Value) * dw_master / 2, 0))
+            rot = FreeCAD.Rotation(FreeCAD.Vector(0,0,1), fp.angle1).toMatrix()
+            mat3 = rot * mat2 *mat1 * mat0
+            mat3.move(fp.master_gear.Placement.Base)
+            fp.slave_gear.Placement = mat3
+
+        if isinstance(fp.master_gear.Proxy, CycloidGear) and isinstance(fp.slave_gear.Proxy, CycloidGear):
+            angle_master = fp.master_gear.Placement.Rotation.Angle * sum(fp.master_gear.Placement.Rotation.Axis)
+            dw_master = fp.master_gear.dw
+            dw_slave = fp.slave_gear.dw
+            dist = (dw_master + dw_slave) / 2
+            mat0 = FreeCAD.Matrix()  # unity matrix
+            trans = FreeCAD.Vector(dist, 0, 0)
+            mat0.move(trans)
+            rot = FreeCAD.Rotation(FreeCAD.Vector(0,0,1), fp.angle1).toMatrix()
+            angle2 = dw_master / dw_slave * fp.angle1.Value
+            angle4 = dw_master / dw_slave * np.rad2deg(angle_master)
+            rot2 = FreeCAD.Rotation(FreeCAD.Vector(0,0,1), angle2).toMatrix()
+            angle3 = abs(fp.slave_gear.teeth % 2 - 1) * 180. / fp.slave_gear.teeth
+            rot3 = FreeCAD.Rotation(FreeCAD.Vector(0,0,1), angle3).toMatrix()
+            rot4 = FreeCAD.Rotation(FreeCAD.Vector(0,0,1), -angle4).toMatrix()
+            mat1 = rot * mat0 * rot2 * rot3 * rot4
+            mat1.move(fp.master_gear.Placement.Base)
+            fp.slave_gear.Placement = mat1
+
+    def execute(self, fp):
+        self.onChanged(fp, None)
+
+            
+
+
+

freecad/gears/icons/cycloidgear.svg

@@ -15,7 +15,7 @@
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    version="1.1"
    inkscape:version="0.48.4 r9939"
-   sodipodi:docname="cycloidegear.svg">
+   sodipodi:docname="cycloidgear.svg">
   <defs
      id="defs3801">
     <inkscape:path-effect

freecad/gears/icons/involutegear.svg

@@ -15,7 +15,7 @@
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    version="1.1"
    inkscape:version="0.48.4 r9939"
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   <defs
      id="defs3801">
     <inkscape:path-effect

freecad/gears/icons/timinggear.svg

@@ -0,0 +1,384 @@
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    xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape"
-   sodipodi:docname="involuterack.svg"
+   sodipodi:docname="wormgear.svg"
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+   inkscape:version="0.92.4 (f8dce91, 2019-08-02)"
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+     inkscape:snap-nodes="false"
+     inkscape:snap-others="true"
+     inkscape:lockguides="false">
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freecad/gears/init_gui.py

@@ -0,0 +1,85 @@
+# -*- coding: utf-8 -*-
+# ***************************************************************************
+# *                                                                         *
+# * This program is free software: you can redistribute it and/or modify    *
+# * it under the terms of the GNU General Public License as published by    *
+# * the Free Software Foundation, either version 3 of the License, or       *
+# * (at your option) any later version.                                     *
+# *                                                                         *
+# * 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 General Public License for more details.                            *
+# *                                                                         *
+# * You should have received a copy of the GNU General Public License       *
+# * along with this program.  If not, see <http://www.gnu.org/licenses/>.   *
+# *                                                                         *
+# ***************************************************************************
+
+import os
+import FreeCADGui as Gui
+import FreeCAD as App
+__dirname__ = os.path.dirname(__file__)
+
+try:
+    from FreeCADGui import Workbench
+except ImportError as e:
+    App.Console.PrintWarning(
+        "you are using the GearWorkbench with an old version of FreeCAD (<0.16)")
+    App.Console.PrintWarning(
+        "the class Workbench is loaded, although not imported: magic")
+
+
+class GearWorkbench(Workbench):
+    """glider workbench"""
+    MenuText = "Gear"
+    ToolTip = "Gear Workbench"
+    Icon = os.path.join(__dirname__,  'icons', 'gearworkbench.svg')
+    commands = [
+        "CreateInvoluteGear",
+        "CreateInternalInvoluteGear",
+        "CreateInvoluteRack",
+        "CreateCycloidGear",
+        "CreateCycloidRack",
+        "CreateBevelGear",
+        "CreateCrownGear",
+        "CreateWormGear",
+        "CreateTimingGear",
+        "CreateLanternGear",
+        "CreateHypoCycloidGear",
+        "CreateGearConnector"]
+
+    def GetClassName(self):
+        return "Gui::PythonWorkbench"
+
+    def Initialize(self):
+        from .commands import CreateCycloidGear, CreateInvoluteGear, CreateInternalInvoluteGear
+        from .commands import CreateBevelGear, CreateInvoluteRack, CreateCrownGear
+        from .commands import CreateWormGear, CreateTimingGear, CreateLanternGear
+        from .commands import CreateHypoCycloidGear, CreateCycloidRack
+        from .commands import CreateGearConnector
+
+        self.appendToolbar("Gear", self.commands)
+        self.appendMenu("Gear", self.commands)
+        # Gui.addIconPath(App.getHomePath()+"Mod/gear/icons/")
+        Gui.addCommand('CreateInvoluteGear', CreateInvoluteGear())
+        Gui.addCommand('CreateInternalInvoluteGear', CreateInternalInvoluteGear())
+        Gui.addCommand('CreateCycloidGear', CreateCycloidGear())
+        Gui.addCommand('CreateCycloidRack', CreateCycloidRack())
+        Gui.addCommand('CreateBevelGear', CreateBevelGear())
+        Gui.addCommand('CreateInvoluteRack', CreateInvoluteRack())
+        Gui.addCommand('CreateCrownGear', CreateCrownGear())
+        Gui.addCommand('CreateWormGear', CreateWormGear())
+        Gui.addCommand('CreateTimingGear', CreateTimingGear())
+        Gui.addCommand('CreateLanternGear', CreateLanternGear())
+        Gui.addCommand('CreateHypoCycloidGear', CreateHypoCycloidGear())
+        Gui.addCommand('CreateGearConnector', CreateGearConnector())
+
+    def Activated(self):
+        pass
+
+    def Deactivated(self):
+        pass
+
+
+Gui.addWorkbench(GearWorkbench())

freecad_gear/__init__.py

@@ -1,7 +0,0 @@
-#!/usr/lib/python
-
-from freecad_gear.gearfunc._involute_tooth import involute_rack, involute_tooth
-from freecad_gear.gearfunc._cycloide_tooth import cycloide_tooth
-from freecad_gear.gearfunc._bevel_tooth import bevel_tooth
-
-import freecad_gear.freecad

freecad_gear/freecad/__init__.py

@@ -1,143 +0,0 @@
-#***************************************************************************
-#*                                                                         *
-#*   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                                                                   *
-#*                                                                         *
-#***************************************************************************
-
-
-import os
-from PySide import QtGui, QtCore
-
-freecad_found = True
-
-try:
-    import FreeCADGui as Gui
-    import Part
-    import FreeCAD as App
-except ImportError:
-    freecad_found = False
-
-if freecad_found:
-
-    import freecad_gear as gear
-    from freecad_gear.freecad.commands import (createInvoluteGear,
-            createCycloidGear, createBevelGear, createInvoluteRack)
-
-
-class gearToolBox(object):
-    def __init__(self):
-        mw = Gui.getMainWindow()     
-        [
-            self.involuteGearAction,
-            self.involuteRackAction,
-            self.bevelGearAction,
-            self.cycloidGearAction,
-            self.dropdown_action] = [None, None, None, None, None]
-        self.defaultAction = createInvoluteGear
-        self.add_gear_wb()
-        mw.workbenchActivated.connect(self.add_gear_wb)
-        timer = mw.findChild(QtCore.QTimer, "activityTimer")
-        timer.connect(timer, QtCore.SIGNAL("timeout()"), self.checkDocument)
-
-
-
-    def add_gear_wb(self, *args):
-        print("Workbench_changed")
-        try:
-            wb = Gui.activeWorkbench()
-        except Exception as e:
-            return
-
-        if "PartWorkbench" in str(wb):
-
-            mainWindow = Gui.getMainWindow()
-
-            # add the module to Freecad
-            try:
-                if Gui.gear.gear_toolbar:
-                    Gui.gear.gear_toolbar.show()
-            except:
-                pass
-            Gui.gear = gear.__class__("gear")
-            print(type(gear))
-
-            # create toolbar
-            Gui.gear.gear_toolbar = mainWindow.addToolBar("Part: GearToolbar")
-            Gui.gear.gear_toolbar.setObjectName("GearToolbar")
-
-            this_path = os.path.dirname(os.path.realpath(__file__))
-
-
-
-            self.dropdown = QtGui.QMenu("gear_menu", Gui.gear.gear_toolbar)
-
-            # create commands
-            icon = QtGui.QIcon(this_path + "/icons/involutegear.svg")
-            self.involuteGearAction = QtGui.QAction(icon, "involute gear", self.dropdown)
-            self.involuteGearAction.setObjectName("GearToolbar")
-            self.involuteGearAction.triggered.connect(
-                self.set_default_action(self.involuteGearAction, createInvoluteGear))
-
-            icon = QtGui.QIcon(this_path + "/icons/involuterack.svg")
-            self.involuteRackAction = QtGui.QAction(icon, "involute rack", self.dropdown)
-            self.involuteRackAction.setObjectName("GearToolbar")            
-            self.involuteRackAction.triggered.connect(
-                self.set_default_action(self.involuteRackAction, createInvoluteRack))
-
-            icon = QtGui.QIcon(this_path + "/icons/cycloidegear.svg")
-            self.cycloidGearAction = QtGui.QAction(icon, "cycloid gear", self.dropdown)
-            self.cycloidGearAction.setObjectName("GearToolbar")
-            self.cycloidGearAction.triggered.connect(
-                self.set_default_action(self.cycloidGearAction, createCycloidGear))
-
-            icon = QtGui.QIcon(this_path + "/icons/bevelgear.svg")
-            self.bevelGearAction = QtGui.QAction(icon, "bevel gear", self.dropdown)
-            self.bevelGearAction.setObjectName("GearToolbar")
-            self.bevelGearAction.triggered.connect(
-                self.set_default_action(self.bevelGearAction, createBevelGear))
-
-
-            temp1 = self.dropdown.addAction(self.involuteGearAction)
-            temp2 = self.dropdown.addAction(self.involuteRackAction)
-            temp3 = self.dropdown.addAction(self.cycloidGearAction)
-            temp4 = self.dropdown.addAction(self.bevelGearAction)
-
-            self.dropdown.setIcon(self.involuteGearAction.icon())
-            temp5 = Gui.gear.gear_toolbar.addAction(self.dropdown.menuAction())
-            self.checkDocument()
-
-            self.defaultCommand = createInvoluteGear
-            self.dropdown.menuAction().triggered.connect(self.defaultCommand)
-
-    def set_default_action(self, action, command):
-        def cb(*args):
-            self.dropdown.setIcon(action.icon())
-            self.defaultCommand = command
-            command()
-        return cb
-
-    def checkDocument(self, *args):
-        enable = False
-        if App.ActiveDocument:
-            enable = True
-        for action in [self.involuteGearAction, self.involuteRackAction,
-                       self.bevelGearAction, self.cycloidGearAction, self.dropdown.menuAction()]:
-            if action:
-                action.setEnabled(enable)
-
-if freecad_found:
-    a = gearToolBox()

freecad_gear/freecad/commands.py

@@ -1,52 +0,0 @@
-#***************************************************************************
-#*                                                                         *
-#*   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                                                                   *
-#*                                                                         *
-#***************************************************************************
-
-import FreeCAD as App
-import FreeCADGui as Gui
-from freecad_gear.gearfunc._Classes import involute_gear, cycloide_gear, bevel_gear, involute_gear_rack
-
-
-def createInvoluteGear(*args):
-    a = App.ActiveDocument.addObject("Part::FeaturePython", "involute_gear")
-    involute_gear(a)
-    a.ViewObject.Proxy = 0.
-    App.ActiveDocument.recompute()
-    Gui.SendMsgToActiveView("ViewFit")
-
-def createInvoluteRack(*args):
-    a = App.ActiveDocument.addObject("Part::FeaturePython", "involute_gear")
-    involute_gear_rack(a)
-    a.ViewObject.Proxy = 0.
-    App.ActiveDocument.recompute()
-    Gui.SendMsgToActiveView("ViewFit")
-
-def createBevelGear(*args):
-    a = App.ActiveDocument.addObject("Part::FeaturePython", "bevel_gear")
-    bevel_gear(a)
-    a.ViewObject.Proxy = 0.
-    App.ActiveDocument.recompute()
-    Gui.SendMsgToActiveView("ViewFit")
-
-def createCycloidGear(*args):
-    a = App.ActiveDocument.addObject("Part::FeaturePython", "cycloide_gear")
-    cycloide_gear(a)
-    a.ViewObject.Proxy = 0.
-    App.ActiveDocument.recompute()
-    Gui.SendMsgToActiveView("ViewFit")

freecad_gear/gearfunc/_Classes.py

@@ -1,445 +0,0 @@
-# -*- coding: utf-8 -*-
-#***************************************************************************
-#*                                                                         *
-#*   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
-import FreeCAD as App
-from _involute_tooth import involute_tooth, involute_rack
-from _cycloide_tooth import cycloide_tooth
-from _bevel_tooth import bevel_tooth
-from Part import BSplineCurve, Shape, Wire, Face, makePolygon, \
-    BRepOffsetAPI, Shell, makeLoft, Solid, Line, BSplineSurface, Compound,\
-     show, makePolygon, makeLoft, makeHelix
-import Part
-from _functions import rotation3D
-from numpy import pi, cos, sin, tan
-
-import numpy
-
-
-def fcvec(x):
-    if len(x) == 2:
-        return(App.Vector(x[0], x[1], 0))
-    else:
-        return(App.Vector(x[0], x[1], x[2]))
-
-
-class involute_gear():
-
-    """FreeCAD gear"""
-
-    def __init__(self, obj):
-        self.involute_tooth = involute_tooth()
-        obj.addProperty(
-            "App::PropertyBool", "simple", "gear_parameter", "simple")
-        obj.addProperty("App::PropertyInteger",
-                        "teeth", "gear_parameter", "number of teeth")
-        obj.addProperty(
-            "App::PropertyLength", "module", "gear_parameter", "module")
-        obj.addProperty(
-            "App::PropertyBool", "undercut", "gear_parameter", "undercut")
-        obj.addProperty(
-            "App::PropertyFloat", "shift", "gear_parameter", "shift")
-        obj.addProperty(
-            "App::PropertyLength", "height", "gear_parameter", "height")
-        obj.addProperty(
-            "App::PropertyAngle", "alpha", "involute_parameter", "alpha")
-        obj.addProperty(
-            "App::PropertyFloat", "clearence", "gear_parameter", "clearence")
-        obj.addProperty("App::PropertyInteger", "numpoints",
-                        "gear_parameter", "number of points for spline")
-        obj.addProperty(
-            "App::PropertyAngle", "beta", "gear_parameter", "beta ")
-        obj.addProperty(
-            "App::PropertyLength", "backlash", "gear_parameter", "backlash in mm")
-        obj.addProperty("App::PropertyPythonObject", "gear", "test", "test")
-        obj.gear = self.involute_tooth
-        obj.simple = False
-        obj.undercut = False
-        obj.teeth = 15
-        obj.module = '1. mm'
-        obj.shift = 0.
-        obj.alpha = '20. deg'
-        obj.beta = '0. deg'
-        obj.height = '5. mm'
-        obj.clearence = 0.25
-        obj.numpoints = 6
-        obj.backlash = '0.00 mm'
-        self.obj = obj
-        obj.Proxy = self
-
-    def execute(self, fp):
-        fp.gear.m_n = fp.module.Value
-        fp.gear.z = fp.teeth
-        fp.gear.undercut = fp.undercut
-        fp.gear.shift = fp.shift
-        fp.gear.alpha = fp.alpha.Value * pi / 180.
-        fp.gear.beta = fp.beta.Value * pi / 180
-        fp.gear.clearence = fp.clearence
-        fp.gear.backlash = fp.backlash.Value
-        fp.gear._update()
-        pts = fp.gear.points(num=fp.numpoints)
-        if not fp.simple:
-            wi = []
-            for i in pts:
-                out = BSplineCurve()
-                out.interpolate(map(fcvec, i))
-                wi.append(out)
-            s = Wire(Shape(wi).Edges)
-            wi = []
-            for i in range(fp.gear.z):
-                rot = App.Matrix()
-                rot.rotateZ(-i * fp.gear.phipart)
-                tooth_rot = s.transformGeometry(rot)
-                if i != 0:
-                    pt_0 = wi[-1].Edges[-1].Vertexes[0].Point
-                    pt_1 = tooth_rot.Edges[0].Vertexes[-1].Point
-                    wi.append(Wire([Line(pt_0, pt_1).toShape()]))
-                wi.append(tooth_rot)
-            pt_0 = wi[-1].Edges[-1].Vertexes[0].Point
-            pt_1 = wi[0].Edges[0].Vertexes[-1].Point
-            wi.append(Wire([Line(pt_0, pt_1).toShape()]))
-
-            wi = Wire(wi)
-            fp.Shape = wi
-            if fp.beta.Value == 0:
-                sh = Face(wi)
-                fp.Shape = sh.extrude(App.Vector(0, 0, fp.height.Value))
-            else:
-                fp.Shape = helicalextrusion(
-                    wi, fp.height.Value, fp.height.Value * tan(fp.gear.beta) * 2 / fp.gear.d)
-        else:
-            rw = fp.gear.dw / 2
-            circle = Part.Circle(App.Vector(0, 0, 0), App.Vector(0, 0, 1), rw)
-            wire = Part.Wire(circle.toShape())
-            face = Part.Face(wire)
-            fp.Shape = face.extrude(App.Vector(0, 0, fp.height.Value))
-
-    def __getstate__(self):
-        return None
-
-    def __setstate__(self, state):
-        return None
-
-
-class involute_gear_rack():
-
-    """FreeCAD gear rack"""
-
-    def __init__(self, obj):
-        self.involute_rack = involute_rack()
-        obj.addProperty("App::PropertyInteger",
-                        "teeth", "gear_parameter", "number of teeth")
-        obj.addProperty(
-            "App::PropertyLength", "module", "gear_parameter", "module")
-        obj.addProperty(
-            "App::PropertyLength", "height", "gear_parameter", "height")
-        obj.addProperty(
-            "App::PropertyLength", "thickness", "gear_parameter", "thickness")
-        obj.addProperty(
-            "App::PropertyAngle", "alpha", "involute_parameter", "alpha")
-        obj.addProperty("App::PropertyPythonObject", "rack", "test", "test")
-        obj.rack = self.involute_rack
-        obj.teeth = 15
-        obj.module = '1. mm'
-        obj.alpha = '20. deg'
-        obj.height = '5. mm'
-        obj.thickness = '5 mm'
-        self.obj = obj
-        obj.Proxy = self
-
-    def execute(self, fp):
-        fp.rack.m = fp.module.Value
-        fp.rack.z = fp.teeth
-        fp.rack.alpha = fp.alpha.Value * pi / 180.
-        fp.rack.thickness = fp.thickness.Value
-        fp.rack._update()
-        pts = fp.rack.points()
-        pol = Wire(makePolygon(map(fcvec, pts)))
-        fp.Shape = Face(Wire(pol)).extrude(fcvec([0., 0., fp.height]))
-
-    def __getstate__(self):
-        return None
-
-    def __setstate__(self, state):
-        return None
-
-
-class cycloide_gear():
-
-    """FreeCAD gear"""
-
-    def __init__(self, obj):
-        self.cycloide_tooth = cycloide_tooth()
-        obj.addProperty("App::PropertyInteger",
-                        "teeth", "gear_parameter", "number of teeth")
-        obj.addProperty(
-            "App::PropertyLength", "module", "gear_parameter", "module")
-        obj.addProperty(
-            "App::PropertyLength", "inner_diameter", "cycloid_parameter", "inner_diameter")
-        obj.addProperty(
-            "App::PropertyLength", "outer_diameter", "cycloid_parameter", "outer_diameter")
-        obj.addProperty(
-            "App::PropertyLength", "height", "gear_parameter", "height")
-        obj.addProperty(
-            "App::PropertyFloat", "clearence", "gear_parameter", "clearence")
-        obj.addProperty("App::PropertyInteger", "numpoints",
-                        "gear_parameter", "number of points for spline")
-        obj.addProperty("App::PropertyAngle", "beta", "gear_parameter", "beta")
-        obj.addProperty(
-            "App::PropertyLength", "backlash", "gear_parameter", "backlash in mm")
-        obj.addProperty("App::PropertyPythonObject", "gear", "test", "test")
-        obj.gear = self.cycloide_tooth
-        obj.teeth = 15
-        obj.module = '1. mm'
-        obj.inner_diameter = '5 mm'
-        obj.outer_diameter = '5 mm'
-        obj.beta = '0. deg'
-        obj.height = '5. mm'
-        obj.clearence = 0.25
-        obj.numpoints = 15
-        obj.backlash = '0.00 mm'
-        obj.Proxy = self
-
-    def execute(self, fp):
-        pass
-        fp.gear.m = fp.module.Value
-        fp.gear.z = fp.teeth
-        fp.gear.z1 = fp.inner_diameter.Value
-        fp.gear.z2 = fp.outer_diameter.Value
-        fp.gear.clearence = fp.clearence
-        fp.gear.backlash = fp.backlash.Value
-        fp.gear._update()
-        pts = fp.gear.points(num=fp.numpoints)
-        wi = []
-        for i in pts:
-            out = BSplineCurve()
-            out.interpolate(map(fcvec, i))
-            wi.append(out)
-        s = Wire(Shape(wi).Edges)
-        wi = []
-        for i in range(fp.gear.z):
-            rot = App.Matrix()
-            rot.rotateZ(-i * fp.gear.phipart)
-            tooth_rot = s.transformGeometry(rot)
-            if i != 0:
-                pt_0 = wi[-1].Edges[-1].Vertexes[0].Point
-                pt_1 = tooth_rot.Edges[0].Vertexes[-1].Point
-                wi.append(Wire([Line(pt_0, pt_1).toShape()]))
-            wi.append(tooth_rot)
-        pt_0 = wi[-1].Edges[-1].Vertexes[0].Point
-        pt_1 = wi[0].Edges[0].Vertexes[-1].Point
-        wi.append(Wire([Line(pt_0, pt_1).toShape()]))
-        wi = Wire(wi)
-        if fp.beta.Value == 0:
-            sh = Face(wi)
-            fp.Shape = sh.extrude(App.Vector(0, 0, fp.height.Value))
-        else:
-            pass
-            fp.Shape = helicalextrusion(
-                wi, fp.height.Value, fp.height.Value * tan(fp.beta.Value * pi / 180) * 2 / fp.gear.d)
-
-    def __getstate__(self):
-        return None
-
-    def __setstate__(self, state):
-        return None
-
-
-class bevel_gear():
-
-    """parameters:
-        alpha:  pressureangle,   10-30°
-        gamma:  cone angle,      0 < gamma < pi/4
-    """
-
-    def __init__(self, obj):
-        self.bevel_tooth = bevel_tooth()
-        obj.addProperty("App::PropertyInteger",
-                        "teeth", "gear_parameter", "number of teeth")
-        obj.addProperty(
-            "App::PropertyLength", "height", "gear_parameter", "height")
-        obj.addProperty(
-            "App::PropertyAngle", "gamma", "involute_parameter", "gamma")
-        obj.addProperty(
-            "App::PropertyAngle", "alpha", "involute_parameter", "alpha")
-        obj.addProperty("App::PropertyLength", "m", "gear_parameter", "m")
-        obj.addProperty(
-            "App::PropertyFloat", "clearence", "gear_parameter", "clearence")
-        obj.addProperty("App::PropertyInteger", "numpoints",
-                        "gear_parameter", "number of points for spline")
-        obj.addProperty(
-            "App::PropertyLength", "backlash", "gear_parameter", "backlash in mm")
-        obj.addProperty("App::PropertyPythonObject", "gear", "test", "test")
-        obj.gear = self.bevel_tooth
-        obj.m = '1. mm'
-        obj.teeth = 15
-        obj.alpha = '70. deg'
-        obj.gamma = '45. deg'
-        obj.height = '5. mm'
-        obj.numpoints = 6
-        obj.backlash = '0.00 mm'
-        obj.clearence = 0.1
-        self.obj = obj
-        obj.Proxy = self
-
-    def execute1(self, fp):
-        fp.gear.z = fp.teeth
-        fp.gear.alpha = fp.alpha.Value * pi / 180.
-        fp.gear.gamma = fp.gamma.Value * pi / 180
-        fp.gear.backlash = fp.backlash
-        fp.gear._update()
-        pts = fp.gear.points(num=fp.numpoints)
-        tooth = self.create_tooth()
-        teeth = [tooth]
-        rot = App.Matrix()
-        rot.rotateZ(2  * pi / fp.teeth)
-        top_cap = [i.Edges[0] for i in tooth.Faces]
-        bottom_cap = [i.Edges[3] for i in tooth.Faces]
-        for i in range(fp.teeth - 1): 
-            new_tooth = teeth[-1].transformGeometry(rot)
-            edge1 = new_tooth.Faces[0].Edges[2]
-            edge2 = teeth[-1].Faces[-1].Edges[1]
-            face1 = make_face(edge1, edge2)
-            teeth.append(face1)
-            teeth.append(new_tooth)
-            top_cap.append(face1.Edges[3])
-            bottom_cap.append(face1.Edges[1])
-            top_cap += [i.Edges[0] for i in new_tooth.Faces]
-            bottom_cap += [i.Edges[3] for i in new_tooth.Faces]
-        edge1 = teeth[0].Faces[0].Edges[2]
-        edge2 = teeth[-1].Faces[-1].Edges[1]
-        face1 = make_face(edge1, edge2)
-        teeth.append(face1)
-        top_cap.append(face1.Edges[3])
-        bottom_cap.append(face1.Edges[1])
-        top_cap = Face(Wire(top_cap))
-        bottom_cap = Face(Wire(bottom_cap))
-        fcs = Compound(teeth).Faces
-        top_cap.reverse()
-        fp.Shape = Solid(Shell(fcs + [top_cap, bottom_cap]))
-
-
-    def execute(self, fp):
-        fp.gear.z = fp.teeth
-        fp.gear.module = fp.m.Value
-        fp.gear.alpha = fp.alpha.Value * pi / 180.
-        fp.gear.gamma = fp.gamma.Value * pi / 180
-        fp.gear.backlash = fp.backlash.Value
-        fp.gear.clearence = fp.clearence
-        fp.gear._update()
-        pts = fp.gear.points(num=fp.numpoints)
-        scal1 = fp.m.Value * fp.gear.z / 2 / tan(
-            fp.gamma.Value * pi / 180) - fp.height.Value / 2
-        scal2 = fp.m.Value * fp.gear.z / 2 / tan(
-            fp.gamma.Value * pi / 180) + fp.height.Value / 2
-        fp.Shape = makeLoft([self.createteeths(pts, scal1, fp.teeth), self.createteeths(pts, scal2, fp.teeth)], True)
-        # fp.Shape = self.createteeths(pts, pos1, fp.teeth)
-
-
-    def create_tooth(self):
-        w = []
-        scal1 = self.obj.m.Value * self.obj.gear.z / 2 / tan(
-            self.obj.gamma.Value * pi / 180) - self.obj.height.Value / 2
-        scal2 = self.obj.m.Value * self.obj.gear.z / 2 / tan(
-            self.obj.gamma.Value * pi / 180) + self.obj.height.Value / 2
-        s = [scal1, scal2]
-        pts = self.obj.gear.points(num=self.obj.numpoints)
-        for j, pos in enumerate(s):
-            w1 = []
-            scale = lambda x: fcvec(x * pos)
-            for i in pts:
-                i_scale = map(scale, i)
-                w1.append(i_scale)
-            w.append(w1)
-        surfs = []
-        w_t = zip(*w)
-        for i in w_t:
-            b = BSplineSurface()
-            b.interpolate(i)
-            surfs.append(b)
-        return Shape(surfs)
-
-    def createteeths(self, pts, pos, teeth):
-        w1 = []
-        for i in pts:
-            scale = lambda x: x * pos
-            i_scale = map(scale, i)
-            out = BSplineCurve()
-            out.interpolate(map(fcvec, i_scale))
-            w1.append(out)
-        s = Wire(Shape(w1).Edges)
-        wi = []
-        for i in range(teeth):
-            rot = App.Matrix()
-            rot.rotateZ(2 * i * pi / teeth)
-            tooth_rot = s.transformGeometry(rot)
-            if i != 0:
-                pt_0 = wi[-1].Edges[-1].Vertexes[0].Point
-                pt_1 = tooth_rot.Edges[0].Vertexes[-1].Point
-                wi.append(Wire([Line(pt_0, pt_1).toShape()]))
-            wi.append(tooth_rot)
-        pt_0 = wi[-1].Edges[-1].Vertexes[0].Point
-        pt_1 = wi[0].Edges[0].Vertexes[-1].Point
-        wi.append(Wire([Line(pt_0, pt_1).toShape()]))
-        return(Wire(wi))
-
-    def __getstate__(self):
-        return None
-
-    def __setstate__(self, state):
-        return None
-
-
-def helicalextrusion(wire, height, angle):
-    face_a = Face(wire)
-    face_b = face_a.copy()
-    face_transform = App.Matrix()
-    face_transform.rotateZ(angle)
-    face_transform.move(App.Vector(0, 0, height))
-    face_b . transformShape(face_transform)
-    spine = Wire(Line(fcvec([0., 0, 0]), fcvec([0, 0, height])).toShape())
-    auxspine = makeHelix(height * 2 * pi / angle, height, 1.)
-    faces = [face_a, face_b]
-    pipeshell = BRepOffsetAPI.MakePipeShell(spine)
-    pipeshell.setSpineSupport(spine)
-    pipeshell.add(wire)
-    pipeshell.setAuxiliarySpine(auxspine, True, False)
-    assert(pipeshell.isReady())
-    pipeshell.build()
-    faces.extend(pipeshell.shape().Faces)
-
-    fullshell = Shell(faces)
-    solid = Solid(fullshell)
-    if solid.Volume < 0:
-        solid.reverse()
-    assert(solid.Volume >= 0)
-    return(solid)
-
-def make_face(edge1, edge2):
-    v1, v2 = edge1.Vertexes
-    v3, v4 = edge2.Vertexes
-    e1 = Wire(edge1)
-    e2 = Line(v1.Point, v3.Point).toShape().Edges[0]
-    e3 = edge2
-    e4 = Line(v4.Point, v2.Point).toShape().Edges[0]
-    w = Wire([e3, e4, e1, e2])
-    return(Face(w))
-

freecad_gear/gearfunc/_bevel_tooth.py

@@ -1,168 +0,0 @@
-# -*- coding: utf-8 -*-
-#***************************************************************************
-#*                                                                         *
-#*   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
-from __future__ import division
-from numpy import cos, sin, tan, arccos, arctan, pi, array, linspace, transpose, vstack, sqrt
-from _functions import rotation3D, reflection3D
-
-
-
-class bevel_tooth(object):
-    def __init__(self, alpha=70 * pi / 180, gamma=pi / 4, clearence=0.1,
-                 z=21, backlash=0.00, module=0.25):
-        self.alpha = alpha
-        self.gamma = gamma
-        self.z = z
-        self.clearence = clearence
-        self.backlash = backlash
-        self.module = module
-
-        self.involute_end = arccos(
-            1 / sqrt(2) * sqrt((42. + 16.*cos(2.*self.alpha) +
-            6.*cos(4.*self.alpha) + cos(4.*self.alpha - 4.*self.gamma) - 8.*cos(2.*self.alpha - 2.*self.gamma) -
-            4.*cos(4.*self.alpha - 2.*self.gamma) + 24.*cos(2.*self.gamma) - 2.*cos(4.*self.gamma) -
-            8.*cos(2.*(self.alpha + self.gamma)) + cos(4.*(self.alpha + self.gamma)) -
-            4.*cos(4.*self.alpha + 2.*self.gamma) + 24.*cos((4.*sin(self.gamma))/self.z) +
-            4.*cos(2.*self.alpha - (4.*sin(self.gamma))/self.z) + 4.*cos(2.*self.alpha -
-            4.*self.gamma - (4.*sin(self.gamma))/self.z) - 8.*cos(2.*self.alpha - 2.*self.gamma -
-            (4.*sin(self.gamma))/self.z) + 24.*cos(4.*(self.gamma + sin(self.gamma)/self.z)) -
-            8.*cos(2.*(self.alpha + self.gamma + (2.*sin(self.gamma))/self.z)) + 4.*cos(2.*self.alpha +
-            (4.*sin(self.gamma))/self.z) + 16.*cos(2.*self.gamma + (4.*sin(self.gamma))/self.z) +
-            4.*cos(2.*self.alpha + 4.*self.gamma + (4.*sin(self.gamma))/self.z) + 32.*abs(cos(self.gamma +
-            (2.*sin(self.gamma))/self.z))*cos(self.alpha)*sqrt(4.*cos(2.*self.alpha) -
-            2.*(-2. + cos(2.*self.alpha - 2.*self.gamma) - 2.*cos(2.*self.gamma) + cos(2.*(self.alpha + self.gamma)) +
-            4.*cos(2.*self.gamma + (4.*sin(self.gamma))/self.z)))*sin(2.*self.gamma))/(-6. - 2.*cos(2.*self.alpha) +
-            cos(2.*self.alpha - 2.*self.gamma) - 2.*cos(2.*self.gamma) + cos(2.*(self.alpha + self.gamma)))**2))
-
-        self.involute_start = -pi/2. + \
-            arctan(1/tan(self.gamma)*1/cos(self.alpha))
-        self.involute_start_radius = self.getradius(self.involute_start)
-        self.r_f = sin(self.gamma - sin(gamma) * 2 / self.z) - self.clearence * sin(self.gamma)
-        self.z_f = cos(self.gamma - sin(gamma) * 2 / self.z)
-        self.add_foot = True
-
-        if self.involute_start_radius < self.r_f:
-            self.add_foot = False
-            self.involute_start = -arccos(
-                sqrt((42 + 16*cos(2*self.alpha) + 6*cos(4*self.alpha) -
-                4*cos(4*self.alpha - 2*self.gamma) - 8*cos(2*(self.alpha - self.gamma)) +
-                cos(4*(self.alpha - self.gamma)) + 24*cos(2*self.gamma) - 2*cos(4*self.gamma) -
-                8*cos(2*(self.alpha + self.gamma)) + cos(4*(self.alpha + self.gamma)) -
-                4*cos(2*(2*self.alpha + self.gamma)) + 24*cos((4*sin(self.gamma))/self.z) +
-                4*cos(2*self.alpha - (4*sin(self.gamma))/self.z) + 16*cos(2*self.gamma -
-                (4*sin(self.gamma))/self.z) + 24*cos(4*self.gamma - (4*sin(self.gamma))/self.z) +
-                4*cos(2*self.alpha + 4*self.gamma - (4*sin(self.gamma))/self.z) -
-                8*cos(2*(self.alpha + self.gamma - (2*sin(self.gamma))/self.z)) +
-                4*cos(2*self.alpha + (4*sin(self.gamma))/self.z) + 4*cos(2*self.alpha -
-                4*self.gamma + (4*sin(self.gamma))/self.z) - 8*cos(2*self.alpha - 2*self.gamma +
-                (4*sin(self.gamma))/self.z) + 32*sqrt(2)*sqrt(-(cos(self.alpha)**2*
-                (-2 - 2*cos(2*self.alpha) + cos(2*(self.alpha - self.gamma)) -
-                2*cos(2*self.gamma) + cos(2*(self.alpha + self.gamma)) +
-                4*cos(2*self.gamma - (4*sin(self.gamma))/self.z))*cos(self.gamma - (2*sin(self.gamma))/self.z)**2*
-                sin(2*self.gamma)**2)))/(-6 - 2*cos(2*self.alpha) + cos(2*(self.alpha - self.gamma)) -
-                2*cos(2*self.gamma) + cos(2*(self.alpha + self.gamma)))**2)/sqrt(2))
-
-    def involute_function_x(self):
-        def func(s):
-            return((
-                -(cos(s*1/sin(self.alpha)*1/sin(self.gamma))*sin(self.alpha)*sin(s)) +
-                (cos(s)*sin(self.gamma) + cos(self.alpha)*cos(self.gamma)*sin(s))*
-                sin(s*1/sin(self.alpha)*1/sin(self.gamma))))
-        return(func)
-
-    def involute_function_y(self):
-        def func(s):
-            return((
-                cos(s*1/sin(self.alpha)*1/sin(self.gamma))*(cos(s)*sin(self.gamma) +
-                cos(self.alpha)*cos(self.gamma)*sin(s)) + sin(self.alpha)*sin(s)*
-                sin(s*1/sin(self.alpha)*1/sin(self.gamma))))
-        return(func)
-
-    def involute_function_z(self):
-        def func(s):
-            return((
-                cos(self.gamma)*cos(s) - cos(self.alpha)*sin(self.gamma)*sin(s)))
-        return(func)
-
-    def getradius(self, s):
-        x = self.involute_function_x()
-        y = self.involute_function_y()
-        rx = x(s)
-        ry = y(s)
-        return(sqrt(rx**2 + ry**2))
-
-    def involute_points(self, num=10):
-        pts = linspace(self.involute_start, self.involute_end, num=num)
-        fx = self.involute_function_x()
-        x = array(map(fx, pts))
-        fy = self.involute_function_y()
-        y = array(map(fy, pts))
-        fz = self.involute_function_z()
-        z = array(map(fz, pts))
-        xyz = transpose(array([x, y,z]))
-        if self.add_foot:
-            p = xyz[0]
-            p1 =map(lambda x: x * (self.r_f / sqrt(p[0]**2 + p[1]**2)), p)
-            p1[2] = self.z_f
-            xyz=vstack([[p1], xyz])
-        xy = [[i[0]/i[2],i[1]/i[2],1.] for i in xyz]
-        backlash_rot = rotation3D(self.backlash / 4)
-        xy = backlash_rot(xy)
-        return(xy)
-
-    def points(self, num=10):
-        pts = self.involute_points(num = num)
-        rot = rotation3D(-pi/self.z/2)
-        pts = rot(pts)
-        ref = reflection3D(pi/2)
-        pts1 = ref(pts)[::-1]
-        rot = rotation3D(2*pi/self.z)
-        pt3 = rot(pts[0])
-        if self.add_foot:
-            return(array([
-                [pts[0],pts[1]],
-                pts[1:],
-                [pts[-1], pts1[0]],
-                pts1[:-1],
-                [pts1[-2], pts1[-1]]
-                ]))
-            return(array([pts,[pts[-1],pts1[0]], pts1]))
-        else:
-            return(array([pts,[pts[-1],pts1[0]], pts1]))
-
-
-    def _update(self):
-        self.__init__(z = self.z, clearence = self.clearence,
-                alpha = self.alpha,  gamma = self.gamma, backlash = self.backlash, module = self.module)
-
-
-if __name__ == "__main__":
-	from matplotlib import pyplot
-	gear = bevel_tooth()
-	x = []
-	y = []
-	for i in gear.points(30):
-		for j in i:
-			x.append(j[0])
-			y.append(j[1])
-	pyplot.plot(x,y)
-	pyplot.show()

freecad_gear/gearfunc/_cycloide_tooth.py

@@ -1,118 +0,0 @@
-# -*- coding: utf-8 -*-
-#***************************************************************************
-#*                                                                         *
-#*   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
-from __future__ import division
-from numpy import cos, sin, arccos, pi, array, linspace, transpose, vstack
-from _functions import rotation, reflection
-
-class cycloide_tooth():
-    def __init__(self, z1 = 5, z2 = 5, z = 14, m = 5, clearence = 0.12, backlash = 0.00):
-        self.m = m
-        self.z = z
-        self.clearence = clearence
-        self.backlash = backlash
-        self.z1 = z1
-        self.z2 = z2
-        self._calc_gear_factors()
-
-    def _calc_gear_factors(self):
-    	self.d1 = self.z1 * self.m
-        self.d2 = self.z2 * self.m
-        self.phi = self.m * pi
-        self.d = self.z * self.m
-        self.da = self.d + 2*self.m
-        self.di = self.d - 2*self.m - self.clearence * self.m
-        self.phipart = 2 * pi / self.z
-
-    def epicycloide_x(self):
-        def func(t):
-            return(((self.d2 + self.d) * cos(t))/2. - (self.d2 * cos((1 + self.d / self.d2) * t))/2.)
-        return(func)
-
-    def epicycloide_y(self):
-        def func(t):
-            return(((self.d2 + self.d) * sin(t))/2. - (self.d2 * sin((1 + self.d / self.d2) * t))/2.)
-        return(func)
-
-    def hypocycloide_x(self):
-        def func(t):
-            return((self.d - self.d1)*cos(t)/2 + self.d1/2 * cos((self.d / self.d1 - 1) * t))
-        return(func)
-
-    def hypocycloide_y(self):
-        def func(t):
-            return((self.d - self.d1)*sin(t)/2 - self.d1/2 *sin((self.d/self.d1 - 1)*t))
-        return(func)
-
-    def inner_end(self):
-        return(
-            -((self.d1*arccos((2*self.d1**2 - self.di**2 -
-                2*self.d1*self.d + self.d**2)/(2.*self.d1*
-                (self.d1 - self.d))))/self.d)
-            )
-
-    def outer_end(self):
-        return(
-            (self.d2*arccos((2*self.d2**2 - self.da**2 +
-                2*self.d2*self.d + self.d**2)/
-                (2.*self.d2*(self.d2 + self.d))))/self.d
-            )
-
-    def points(self, num = 10):
-
-        inner_x = self.hypocycloide_x()
-        inner_y = self.hypocycloide_y()
-        outer_x = self.epicycloide_x()
-        outer_y = self.epicycloide_y()
-        t_inner_end = self.inner_end()
-        t_outer_end = self.outer_end()
-        t_vals_outer = linspace(0, t_outer_end, num)
-        t_vals_inner = linspace(t_inner_end,0,num)
-        pts_outer_x = map(outer_x, t_vals_outer)
-        pts_outer_y = map(outer_y, t_vals_outer)
-        pts_inner_x = map(inner_x, t_vals_inner)
-        pts_inner_y = map(inner_y, t_vals_inner)
-        pts_outer = transpose([pts_outer_x, pts_outer_y])
-        pts_inner = transpose([pts_inner_x, pts_inner_y])
-        pts1 = vstack([pts_inner[:-2],pts_outer])
-        rot =rotation(self.phipart / 4 - self.backlash)
-        pts1 = rot(pts1)
-        ref = reflection(0.)
-        pts2 = ref(pts1)[::-1]
-        one_tooth = [pts1,array([pts1[-1],pts2[0]]), pts2]
-        return(one_tooth)
-
-    def _update(self):
-        self.__init__(m = self.m, z = self.z, z1 = self.z1, z2 = self.z2,
-                      clearence = self.clearence, backlash = self.backlash)
-
-if __name__ == "__main__":
-	from matplotlib import pyplot
-	gear = cycloide_tooth()
-	x = []
-	y = []
-	for i in gear.points(30):
-		for j in i:
-			x.append(j[0])
-			y.append(j[1])
-	pyplot.plot(x[-60:],y[-60:])
-	pyplot.show()

freecad_gear/gearfunc/_functions.py

@@ -1,162 +0,0 @@
-# -*- coding: utf-8 -*-
-#***************************************************************************
-#*                                                                         *
-#*   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
-from numpy import sin, cos, dot, array, ndarray, vstack, transpose, sqrt
-from numpy.linalg import solve
-
-
-def reflection(alpha):
-    mat = array(
-        [[cos(2 * alpha), -sin(2 * alpha)], [-sin(2 * alpha), -cos(2 * alpha)]])
-
-    def func(x):
-        return(dot(x, mat))
-    return(func)
-
-
-def reflection3D(alpha):
-    mat = array([[cos(2 * alpha), -sin(2 * alpha), 0.],
-                 [-sin(2 * alpha), -cos(2 * alpha), 0.], [0., 0., 1.]])
-
-    def func(x):
-        return(dot(x, mat))
-    return(func)
-
-
-def rotation(alpha, midpoint=[0, 0]):
-    mat = array([[cos(alpha), -sin(alpha)], [sin(alpha), cos(alpha)]])
-    midpoint = array(midpoint)
-    vec = midpoint - dot(midpoint, mat)
-    trans = translation(vec)
-
-    def func(xx):
-        return(trans(dot(xx, mat)))
-    return(func)
-
-
-def rotation3D(alpha):
-    mat = array(
-        [
-            [cos(alpha), -sin(alpha), 0.],
-            [sin(alpha), cos(alpha), 0.],
-            [0., 0., 1.]])
-
-    def func(xx):
-        return(dot(xx, mat))
-    return(func)
-
-
-def translation(vec):
-    def trans(x):
-        return([x[0] + vec[0], x[1] + vec[1]])
-
-    def func(x):
-        return(array(map(trans, x)))
-    return(func)
-
-
-def trim(p1, p2, p3, p4):
-    a1 = array(p1)
-    a2 = array(p2)
-    a3 = array(p3)
-    a4 = array(p4)
-    if all(a1 == a2) or all(a3 == a4):
-        if all(a1 == a3):
-            return(a1)
-        else:
-            return(False)
-    elif all(a1 == a3):
-        if all(a2 == a4):
-            return((a1 + a2) / 2)
-        else:
-            return(a1)
-    elif all(a1 == a4):
-        if all(a2 == a3):
-            return((a1 + a2) / 2)
-        else:
-            return(a1)
-    elif all(a2 == a3) or all(a2 == a4):
-        return(p2)
-    try:
-        g, h = solve(transpose([-a2 + a1, a4 - a3]), a1 - a3)
-    except:
-        print(Exception)
-        return(False)
-    else:
-        if 0. < g < 1. and 0. < h < 1.:
-            return(a1 + g * (a2 - a1))
-        else:
-            return(False)
-    return(False)
-
-
-def trimfunc(l1, l2):
-    ik = 0
-    i0 = array(l1[0])
-    for i in array(l1[1:]):
-        jk = 0
-        j0 = array(l2[0])
-        for j in array(l2[1:]):
-            s = trim(j0, j, i0, i)
-            if isinstance(s, ndarray):
-                if ik == 0:
-                    l1 = [l1[0]]
-                else:
-                    l1 = l1[:ik]
-                if jk == 0:
-                    l2 == [l2[0]]
-                else:
-                    l2 = l2[jk::-1]
-                return(array([vstack([l1, [s]]), vstack([[s], l2])]))
-            j0 = j
-            jk += 1
-        i0 = i
-        ik += 1
-    return(False)
-
-
-def norm(vec1, vec2):
-    vec = array(vec2) - array(vec1)
-    out = 0
-    for i in vec:
-        out += i ** 2
-    return(sqrt(out))
-
-
-def nearestpts(evolv, underc):
-    ik = 0
-    iout = 0
-    jout = 0
-    outmin = 1000.
-    for i in array(evolv[1:]):
-        jk = 0
-        for j in array(underc[1:]):
-            l = norm(i, j)
-            if l < outmin:
-                re = norm(i, [0, 0])
-                ru = norm(j, [0, 0])
-                if re > ru:
-                    outmin = l
-                    iout, jout = [ik, jk]
-            jk += 1
-        ik += 1
-    return([vstack([underc[:jout], evolv[iout]]), evolv[iout:]])

freecad_gear/gearfunc/_involute_tooth.py

@@ -1,197 +0,0 @@
-# -*- coding: utf-8 -*-
-#***************************************************************************
-#*                                                                         *
-#*   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
-from numpy import tan, cos, sin, sqrt, arctan, pi, array, linspace, transpose, vstack, ndarray
-from _functions import nearestpts, rotation, reflection, trimfunc, norm, translation
-import numpy as np
-
-class involute_tooth():
-    def __init__(self, m=5, z=15, alpha=20 * pi / 180., clearence=0.12, shift=0.5, beta=0., undercut=False, backlash=0.00):
-        self.alpha = alpha
-        self.beta = beta
-        self.m_n = m
-        self.z = z
-        self.undercut = undercut
-        self.shift = shift
-        self.clearence = clearence
-        self.backlash = backlash
-        self._calc_gear_factors()
-
-    def _calc_gear_factors(self):
-        self.alpha_t = arctan(tan(self.alpha) / cos(self.beta))
-        self.m = self.m_n / cos(self.beta)
-        self.c = self.clearence * self.m_n
-        self.midpoint = [0., 0.]
-        self.d = self.z * self.m
-        self.dw = self.m * self.z
-        self.da = self.dw + 2. * self.m_n + 2. * self.shift * self.m_n
-        self.df = self.dw - 2. * self.m_n - \
-            2 * self.c + 2. * self.shift * self.m_n
-        self.dg = self.d * cos(self.alpha_t)
-        self.phipart = 2 * pi / self.z
-
-        self.undercut_end = sqrt(-self.df ** 2 + self.da ** 2) / self.da
-        self.undercut_rot = (-self.df / self.dw * tan(arctan((2 * ((self.m * pi) / 4. -
-                            (self.c + self.m_n) * tan(self.alpha_t))) / self.df)))
-
-        self.involute_end = sqrt(self.da ** 2 - self.dg ** 2) / self.dg
-        self.involute_rot1 = sqrt(-self.dg ** 2 + (self.dw) ** 2) / self.dg - arctan(
-            sqrt(-self.dg ** 2 + (self.dw) ** 2) / self.dg)
-        self.involute_rot2 = self.m / \
-            (self.d) * (pi / 2 + 2 * self.shift * tan(self.alpha_t))
-        self.involute_rot2 = 1 / self.z * (pi / 2 + 2 * self.shift * tan(self.alpha_t))
-        self.involute_rot = self.involute_rot1 + self.involute_rot2
-        self.involute_start = 0.
-        if self.dg <= self.df:
-            self.involute_start = sqrt(self.df ** 2 - self.dg ** 2) / self.dg
-
-
-    def undercut_points(self, num=10):
-        pts = linspace(0, self.undercut_end, num=num)
-        fx = self.undercut_function_x()
-        x = array(map(fx, pts))
-        fy = self.undercut_function_y()
-        y = array(map(fy, pts))
-        xy = transpose([x, y])
-        rotate = rotation(
-            self.undercut_rot + self.phipart / 2 - self.backlash / 4)
-        xy = rotate(xy)
-        return(array(xy))
-
-    def involute_points(self, num=10):
-        pts = linspace(self.involute_start, self.involute_end, num=num)
-        fx = self.involute_function_x()
-        x = array(map(fx, pts))
-        fy = self.involute_function_y()
-        y = array(map(fy, pts))
-        rot = rotation(self.involute_rot - self.backlash / 4)
-        xy = rot(transpose(array([x, y])))
-        return(xy)
-
-    def points(self, num=10):
-        l1 = self.undercut_points(num=num)
-        l2 = self.involute_points(num=num)
-        s = trimfunc(l1, l2[::-1])
-        if self.undercut:
-            if isinstance(s, ndarray):
-                u1, e1 = s
-            else:
-                u1, e1 = nearestpts(l2, l1)
-        else:
-            u1 = False
-            if self.dg > self.df:
-                u1 = vstack(
-                    [[l2[0] * self.df / (norm(l2[0], [0, 0]) * 2)], [l2[0]]])
-                e1 = l2
-            else:
-                e1 = l2
-
-        reflect = reflection(0)
-        e2 = reflect(e1)[::-1]
-        if isinstance(u1, bool):
-            u2 = False
-            one_tooth = [e1, [e1[-1], e2[0]], e2]
-        else:
-            u2 = reflect(u1)[::-1]
-            one_tooth = [u1, e1, [e1[-1], e2[0]], e2, u2]
-        return(one_tooth)
-
-    def gearfunc(self, x):
-        rot = rotation(2 * x / self.dw, self.midpoint)
-        return(rot)
-
-    def undercut_function_x(self):
-        def func(psi):
-            return(
-               cos(psi - (self.df * tan(psi)) / self.dw) * sqrt(self.df ** 2 / 4 +
-                                                                (self.df ** 2 * tan(psi) ** 2) / 4.))
-        return(func)
-
-    def undercut_function_y(self):
-        def func(psi):
-            return(
-                sin(psi - (self.df * tan(psi)) / self.dw) * sqrt(self.df ** 2 / 4 +
-                                                                (self.df ** 2 * tan(psi) ** 2) / 4.))
-        return(func)
-
-    def involute_function_x(self):
-        def func(phi):
-            return(array(self.dg / 2 * cos(phi) + phi * self.dg / 2 * sin(phi)))
-        return(func)
-
-    def involute_function_y(self):
-        def func(phi):
-            return(self.dg / 2 * sin(phi) - phi * self.dg / 2 * cos(phi))
-        return(func)
-
-    def _update(self):
-        self.__init__(m = self.m_n, z = self.z,
-                alpha = self.alpha, clearence = self.clearence, shift = self.shift,
-                beta = self.beta, undercut = self.undercut, backlash = self.backlash)
-
-
-class involute_rack(object):
-    def __init__(self, m=5, z=15, alpha=20 * pi / 180., thickness=5):
-        self.alpha = alpha
-        self.thickness = thickness
-        self.m = m
-        self.z = z
-
-    def _update(self):
-        self.__init__(m = self.m, z = self.z, alpha = self.alpha, thickness = self.thickness)
-
-    def points(self, num=10):
-        a = 2 * self.m * tan(self.alpha)
-        b = ((self.m * pi) / 2 - a) / 2
-        tooth= [
-            [self.m, -a - b],
-            [-self.m, -b],
-            [-self.m, b],
-            [self.m, a + b]
-            ]
-        teeth = [tooth]
-        trans = translation([0., self.m * pi, 0.])
-        for i in range(self.z):
-            teeth.append(trans(teeth[-1]))
-        teeth = list(np.vstack(teeth))
-        teeth.append(list(teeth[-1]))
-        teeth[-1][0] += self.thickness
-        teeth.append(list(teeth[0]))
-        teeth[-1][0] += self.thickness
-        teeth.append(teeth[0])
-        return(teeth)
-
-
-
-
-
-if __name__ == "__main__":
-    from matplotlib import pyplot
-    gear = involute_rack()
-    x = []
-    y = []
-    for i in gear.points(30):
-        x.append(i[0])
-        y.append(i[1])
-    pyplot.plot(x, y)
-    pyplot.show()
-

package.xml

@@ -0,0 +1,24 @@
+<?xml version="1.0" encoding="UTF-8" standalone="no" ?>
+<package format="1" xmlns="https://wiki.freecad.org/Package_Metadata">
+  <name>freecad.gears workbench</name>
+  <description>A gear workbench for FreeCAD</description>
+  <version>1.0</version>
+  <date>2022-02-07</date>
+  <maintainer email="sppedflyer@gmail.com">looooo</maintainer>
+  <license file="LICENSE">GPL 3</license>
+  <url type="repository" branch="develop">https://github.com/looooo/freecad.gears</url>
+  <url type="bugtracker">https://github.com/looooo/freecad.gears/issues</url>
+  <url type="documentation">https://wiki.freecad.org/FCGear_Workbench</url>
+  <icon>freecad/gears/icons/gearworkbench.svg</icon>
+
+  <content>
+    <workbench>
+      <classname>GearWorkbench</classname>
+      <subdirectory>./</subdirectory>
+      <freecadmin>0.19</freecadmin>
+      <tag>gear</tag>
+      <tag>gears</tag>
+    </workbench>
+  </content>
+
+</package>

pygears/__init__.py

@@ -0,0 +1,19 @@
+# -*- coding: utf-8 -*-
+# ***************************************************************************
+# *                                                                         *
+# * This program is free software: you can redistribute it and/or modify    *
+# * it under the terms of the GNU General Public License as published by    *
+# * the Free Software Foundation, either version 3 of the License, or       *
+# * (at your option) any later version.                                     *
+# *                                                                         *
+# * 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 General Public License for more details.                            *
+# *                                                                         *
+# * You should have received a copy of the GNU General Public License       *
+# * along with this program.  If not, see <http://www.gnu.org/licenses/>.   *
+# *                                                                         *
+# ***************************************************************************
+
+__version__ = "0.0.4"

pygears/_functions.py

@@ -0,0 +1,180 @@
+# -*- coding: utf-8 -*-
+# ***************************************************************************
+# *                                                                         *
+# * This program is free software: you can redistribute it and/or modify    *
+# * it under the terms of the GNU General Public License as published by    *
+# * the Free Software Foundation, either version 3 of the License, or       *
+# * (at your option) any later version.                                     *
+# *                                                                         *
+# * 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 General Public License for more details.                            *
+# *                                                                         *
+# * You should have received a copy of the GNU General Public License       *
+# * along with this program.  If not, see <http://www.gnu.org/licenses/>.   *
+# *                                                                         *
+# ***************************************************************************
+
+from __future__ import division
+from numpy import sin, cos, dot, array, ndarray, vstack, transpose, sqrt
+from numpy.linalg import solve, norm
+
+
+def reflection(angle):
+    mat = array(
+        [[cos(2 * angle), -sin(2 * angle)], [-sin(2 * angle), -cos(2 * angle)]])
+
+    def func(x):
+        return(dot(x, mat))
+    return(func)
+
+
+def reflection3D(angle):
+    mat = array([[cos(2 * angle), -sin(2 * angle), 0.],
+                 [-sin(2 * angle), -cos(2 * angle), 0.], [0., 0., 1.]])
+
+    def func(x):
+        return(dot(x, mat))
+    return(func)
+
+
+def rotation(angle, midpoint=None):
+    midpoint = midpoint or [0., 0.]
+    mat = array([[cos(angle), -sin(angle)],
+                 [sin(angle), cos(angle)]])
+    midpoint = array(midpoint)
+    vec = midpoint - dot(midpoint, mat)
+    trans = translation(vec)
+
+    def func(xx):
+        return(trans(dot(xx, mat)))
+    return(func)
+
+
+def rotation3D(angle):
+    mat = array(
+        [
+            [cos(angle), -sin(angle), 0.],
+            [sin(angle), cos(angle), 0.],
+            [0., 0., 1.]])
+
+    def func(xx):
+        return(dot(xx, mat))
+    return(func)
+
+
+def translation(vec):
+    def trans(x):
+        return([x[0] + vec[0], x[1] + vec[1]])
+
+    def func(x):
+        return(array(list(map(trans, x))))
+    return(func)
+
+
+def trim(p1, p2, p3, p4):
+    a1 = array(p1)
+    a2 = array(p2)
+    a3 = array(p3)
+    a4 = array(p4)
+    if all(a1 == a2) or all(a3 == a4):
+        if all(a1 == a3):
+            return(a1)
+        else:
+            return(False)
+    elif all(a1 == a3):
+        if all(a2 == a4):
+            return((a1 + a2) / 2)
+        else:
+            return(a1)
+    elif all(a1 == a4):
+        if all(a2 == a3):
+            return((a1 + a2) / 2)
+        else:
+            return(a1)
+    elif all(a2 == a3) or all(a2 == a4):
+        return(p2)
+    try:
+        g, h = solve(transpose([-a2 + a1, a4 - a3]), a1 - a3)
+    except Exception as e:
+        print(e)
+        return(False)
+    else:
+        if 0. < g < 1. and 0. < h < 1.:
+            return(a1 + g * (a2 - a1))
+        else:
+            return(False)
+
+
+def trimfunc(l1, l2):
+    ik = 0
+    i0 = array(l1[0])
+    for i in array(l1[1:]):
+        jk = 0
+        j0 = array(l2[0])
+        for j in array(l2[1:]):
+            s = trim(j0, j, i0, i)
+            if isinstance(s, ndarray):
+                if ik == 0:
+                    l1 = [l1[0]]
+                else:
+                    l1 = l1[:ik]
+                if jk == 0:
+                    l2 == [l2[0]]
+                else:
+                    l2 = l2[jk::-1]
+                return([vstack([l1, [s]]), vstack([[s], l2])])
+            j0 = j
+            jk += 1
+        i0 = i
+        ik += 1
+    return(False)
+
+
+def diff_norm(vec1, vec2):
+    vec = array(vec2) - array(vec1)
+    return norm(vec)
+
+
+def nearestpts(evolv, underc):
+    ik = 0
+    iout = 0
+    jout = 0
+    outmin = 1000.
+    for i in array(evolv[1:]):
+        jk = 0
+        for j in array(underc[1:]):
+            l = diff_norm(i, j)
+            if l < outmin:
+                re = diff_norm(i, [0, 0])
+                ru = diff_norm(j, [0, 0])
+                if re > ru:
+                    outmin = l
+                    iout, jout = [ik, jk]
+            jk += 1
+        ik += 1
+    return([vstack([underc[:jout], evolv[iout]]), evolv[iout:]])
+
+
+def intersection_line_circle(p1, p2, r):
+    """return the intersection point of a line from p1 to p2 and a sphere of radius 1 and 
+    midpoint 0,0,0"""
+    d = p2 - p1
+    d /= norm(d)
+    p_half = d.dot(p1)
+    q = p1.dot(p1) - r ** 2
+    t = -p_half + sqrt(p_half ** 2 - q)
+    return p1 + d * t
+
+
+def arc_from_points_and_center(p_1, p_2, m):
+    """return 3 points (x1, x12, x2) which can be used to create the arc"""
+    r = (norm(p_1 - m) + norm(p_2 - m)) / 2
+    p_12l = (p_1 + p_2) / 2
+    v = p_12l - m
+    v /= norm(v)
+    p_12 = m + v * r
+    return (p_1, p_12, p_2)
+
+    

pygears/bevel_tooth.py

@@ -0,0 +1,137 @@
+# -*- coding: utf-8 -*-
+# ***************************************************************************
+# *                                                                         *
+# * This program is free software: you can redistribute it and/or modify    *
+# * it under the terms of the GNU General Public License as published by    *
+# * the Free Software Foundation, either version 3 of the License, or       *
+# * (at your option) any later version.                                     *
+# *                                                                         *
+# * 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 General Public License for more details.                            *
+# *                                                                         *
+# * You should have received a copy of the GNU General Public License       *
+# * along with this program.  If not, see <http://www.gnu.org/licenses/>.   *
+# *                                                                         *
+# ***************************************************************************
+
+from __future__ import division
+from __future__ import division
+from numpy import cos, sin, tan, arccos, arctan, pi, array, linspace, transpose, vstack, sqrt
+from ._functions import rotation3D, reflection3D, intersection_line_circle
+
+
+class BevelTooth(object):
+    def __init__(self, pressure_angle=70 * pi / 180, pitch_angle=pi / 4, clearance=0.1,
+                 z=21, backlash=0.00, module=0.25):
+        self.pressure_angle = pressure_angle
+        self.pitch_angle = pitch_angle
+        self.z = z
+        self.clearance = clearance
+        self.backlash = backlash
+        self.angular_backlash = backlash / (z * module / 2)
+        self.module = module
+
+        self.involute_end = arccos(
+            1 / sqrt(2) * sqrt((42. + 16.*cos(2.*self.pressure_angle) +
+                                6.*cos(4.*self.pressure_angle) + cos(4.*self.pressure_angle - 4.*self.pitch_angle) - 8.*cos(2.*self.pressure_angle - 2.*self.pitch_angle) -
+                                4.*cos(4.*self.pressure_angle - 2.*self.pitch_angle) + 24.*cos(2.*self.pitch_angle) - 2.*cos(4.*self.pitch_angle) -
+                                8.*cos(2.*(self.pressure_angle + self.pitch_angle)) + cos(4.*(self.pressure_angle + self.pitch_angle)) -
+                                4.*cos(4.*self.pressure_angle + 2.*self.pitch_angle) + 24.*cos((4.*sin(self.pitch_angle))/self.z) +
+                                4.*cos(2.*self.pressure_angle - (4.*sin(self.pitch_angle))/self.z) + 4.*cos(2.*self.pressure_angle -
+                                                                                                            4.*self.pitch_angle - (4.*sin(self.pitch_angle))/self.z) - 8.*cos(2.*self.pressure_angle - 2.*self.pitch_angle -
+                                                                                                                                                                              (4.*sin(self.pitch_angle))/self.z) + 24.*cos(4.*(self.pitch_angle + sin(self.pitch_angle)/self.z)) -
+                                8.*cos(2.*(self.pressure_angle + self.pitch_angle + (2.*sin(self.pitch_angle))/self.z)) + 4.*cos(2.*self.pressure_angle +
+                                                                                                                                 (4.*sin(self.pitch_angle))/self.z) + 16.*cos(2.*self.pitch_angle + (4.*sin(self.pitch_angle))/self.z) +
+                                4.*cos(2.*self.pressure_angle + 4.*self.pitch_angle + (4.*sin(self.pitch_angle))/self.z) + 32.*abs(cos(self.pitch_angle +
+                                                                                                                                       (2.*sin(self.pitch_angle))/self.z))*cos(self.pressure_angle)*sqrt(4.*cos(2.*self.pressure_angle) -
+                                                                                                                                                                                                         2.*(-2. + cos(2.*self.pressure_angle - 2.*self.pitch_angle) - 2.*cos(2.*self.pitch_angle) + cos(2.*(self.pressure_angle + self.pitch_angle)) +
+                                                                                                                                                                                                             4.*cos(2.*self.pitch_angle + (4.*sin(self.pitch_angle))/self.z)))*sin(2.*self.pitch_angle))/(-6. - 2.*cos(2.*self.pressure_angle) +
+                                                                                                                                                                                                                                                                                                          cos(2.*self.pressure_angle - 2.*self.pitch_angle) - 2.*cos(2.*self.pitch_angle) + cos(2.*(self.pressure_angle + self.pitch_angle)))**2))
+
+        self.involute_start = -pi/2. + \
+            arctan(1/tan(self.pitch_angle)*1/cos(self.pressure_angle))
+        self.involute_start_radius = self.get_radius(self.involute_start)
+        self.r_f = sin(self.pitch_angle - sin(pitch_angle) * 2 /
+                       self.z) - self.clearance * sin(self.pitch_angle)
+        self.z_f = cos(self.pitch_angle - sin(pitch_angle) * 2 / self.z)
+        self.add_foot = True
+
+    def involute_function_x(self):
+        def func(s):
+            return((
+                -(cos(s*1/sin(self.pressure_angle)*1/sin(self.pitch_angle))*sin(self.pressure_angle)*sin(s)) +
+                (cos(s)*sin(self.pitch_angle) + cos(self.pressure_angle)*cos(self.pitch_angle)*sin(s)) *
+                sin(s*1/sin(self.pressure_angle)*1/sin(self.pitch_angle))))
+        return(func)
+
+    def involute_function_y(self):
+        def func(s):
+            return((
+                cos(s*1/sin(self.pressure_angle)*1/sin(self.pitch_angle))*(cos(s)*sin(self.pitch_angle) +
+                                                                           cos(self.pressure_angle)*cos(self.pitch_angle)*sin(s)) + sin(self.pressure_angle)*sin(s) *
+                sin(s*1/sin(self.pressure_angle)*1/sin(self.pitch_angle))))
+        return(func)
+
+    def involute_function_z(self):
+        def func(s):
+            return((
+                cos(self.pitch_angle)*cos(s) - cos(self.pressure_angle)*sin(self.pitch_angle)*sin(s)))
+        return(func)
+
+    def get_radius(self, s):
+        x = self.involute_function_x()
+        y = self.involute_function_y()
+        rx = x(s)
+        ry = y(s)
+        return(sqrt(rx**2 + ry**2))
+
+    def involute_points(self, num=10):
+        pts = linspace(self.involute_start, self.involute_end, num=num)
+        fx = self.involute_function_x()
+        x = array(list(map(fx, pts)))
+        fy = self.involute_function_y()
+        y = array(list(map(fy, pts)))
+        fz = self.involute_function_z()
+        z = array(list(map(fz, pts)))
+        xyz = transpose(array([x, y, z]))
+        # conical projection to z=1
+        xy = [[i[0] / i[2], i[1] / i[2]] for i in xyz]
+        xy = array([[0, 0]] + xy)
+
+        r_cut = self.r_f / self.z_f
+        for i, point in enumerate(xy[1:]):
+            if point.dot(point) >= r_cut ** 2:
+                break
+        if i > 0:
+            self.add_foot = False
+        intersection_point = intersection_line_circle(xy[i], point, r_cut)
+        xy = array([intersection_point] + list(xy[i+1:]))
+        xyz = [[p[0], p[1], 1] for p in xy]
+        backlash_rot = rotation3D(self.angular_backlash / 2)
+        xyz = backlash_rot(xyz)
+        return(xyz)
+
+    def points(self, num=10):
+        pts = self.involute_points(num=num)
+        rot = rotation3D(-pi/self.z/2)
+        pts = rot(pts)
+        ref = reflection3D(pi/2)
+        pts1 = ref(pts)[::-1]
+        if self.add_foot:
+            return([
+                array([pts[0], pts[1]]),
+                array(pts[1:]),
+                array([pts[-1], pts1[0]]),
+                array(pts1[:-1]),
+                array([pts1[-2], pts1[-1]])
+            ])
+        else:
+            return([pts, array([pts[-1], pts1[0]]), pts1])
+
+    def _update(self):
+        self.__init__(z=self.z, clearance=self.clearance,
+                      pressure_angle=self.pressure_angle,
+                      pitch_angle=self.pitch_angle,
+                      backlash=self.backlash, module=self.module)

pygears/computation.py

@@ -0,0 +1,64 @@
+# -*- coding: utf-8 -*-
+# ***************************************************************************
+# *                                                                         *
+# * This program is free software: you can redistribute it and/or modify    *
+# * it under the terms of the GNU General Public License as published by    *
+# * the Free Software Foundation, either version 3 of the License, or       *
+# * (at your option) any later version.                                     *
+# *                                                                         *
+# * 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 General Public License for more details.                            *
+# *                                                                         *
+# * You should have received a copy of the GNU General Public License       *
+# * along with this program.  If not, see <http://www.gnu.org/licenses/>.   *
+# *                                                                         *
+# ***************************************************************************
+
+import numpy as np
+
+
+def compute_shifted_gears(m, alpha, t1, t2, x1, x2):
+    """Summary
+
+    Args:
+        m (float): common module of both gears [length]
+        alpha (float): pressure-angle [rad]
+        t1 (int): number of teeth of gear1
+        t2 (int): number of teeth of gear2
+        x1 (float): relative profile-shift of gear1
+        x2 (float): relative profile-shift of gear2
+
+    Returns:
+        (float, float): distance between gears [length], pressure angle of the assembly [rad]
+    """
+    def inv(x): 
+        return np.tan(x) - x
+
+    inv_alpha_w = inv(alpha) + 2 * np.tan(alpha) * (x1 + x2) / (t1 + t2)
+
+    def root_inv(x):
+        return inv(x) - inv_alpha_w
+
+    def d_root_inv(x):
+        return 1. / np.cos(x) - 1
+
+    alpha_w = find_root(alpha, root_inv, d_root_inv)
+    dist = m * (t1 + t2) / 2 * np.cos(alpha) / np.cos(alpha_w)
+    return dist, alpha_w
+
+
+def find_root(x0, f, df, epsilon=2e-10, max_iter=100):
+    x_n = x0
+    for i in range(max_iter):
+        f_xn = f(x_n)
+        if abs(f_xn) < epsilon:
+            return x_n
+        else:
+            df_xn = df(x_n)
+            if df_xn == 0:
+                return None
+            else:
+                x_n = x_n - f_xn / df_xn / 2  # adding (/ 2) to avoid oscillation
+    return None

pygears/cycloid_tooth.py

@@ -0,0 +1,106 @@
+# -*- coding: utf-8 -*-
+# ***************************************************************************
+# *                                                                         *
+# * This program is free software: you can redistribute it and/or modify    *
+# * it under the terms of the GNU General Public License as published by    *
+# * the Free Software Foundation, either version 3 of the License, or       *
+# * (at your option) any later version.                                     *
+# *                                                                         *
+# * 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 General Public License for more details.                            *
+# *                                                                         *
+# * You should have received a copy of the GNU General Public License       *
+# * along with this program.  If not, see <http://www.gnu.org/licenses/>.   *
+# *                                                                         *
+# ***************************************************************************
+
+from __future__ import division
+from numpy import cos, sin, arccos, pi, array, linspace, transpose, vstack
+from ._functions import rotation, reflection
+
+
+class CycloidTooth():
+    def __init__(self, z1=5, z2=5, z=14, m=5, clearance=0.25, backlash=0.00, head=0.0):
+        self.m = m
+        self.z = z
+        self.clearance = clearance
+        self.backlash = backlash
+        self.z1 = z1
+        self.z2 = z2
+        self.head = head
+        self._calc_gear_factors()
+
+    def _calc_gear_factors(self):
+        self.d1 = self.z1 * self.m
+        self.d2 = self.z2 * self.m
+        self.phi = self.m * pi
+        self.d = self.z * self.m
+        self.da = self.d + 2 * (1 + self.head) * self.m
+        self.di = self.d - 2 * (1 + self.clearance) * self.m
+        self.phipart = 2 * pi / self.z
+        self.angular_backlash = self.backlash / (self.d / 2)
+
+    def epicycloid_x(self):
+        def func(t):
+            return(((self.d2 + self.d) * cos(t))/2. - (self.d2 * cos((1 + self.d / self.d2) * t))/2.)
+        return(func)
+
+    def epicycloid_y(self):
+        def func(t):
+            return(((self.d2 + self.d) * sin(t))/2. - (self.d2 * sin((1 + self.d / self.d2) * t))/2.)
+        return(func)
+
+    def hypocycloid_x(self):
+        def func(t):
+            return((self.d - self.d1)*cos(t)/2 + self.d1/2 * cos((self.d / self.d1 - 1) * t))
+        return(func)
+
+    def hypocycloid_y(self):
+        def func(t):
+            return((self.d - self.d1)*sin(t)/2 - self.d1/2 * sin((self.d/self.d1 - 1)*t))
+        return(func)
+
+    def inner_end(self):
+        return(
+            -((self.d1*arccos((2*self.d1**2 - self.di**2 -
+                               2*self.d1*self.d + self.d**2)/(2.*self.d1 *
+                                                              (self.d1 - self.d))))/self.d)
+        )
+
+    def outer_end(self):
+        return(
+            (self.d2*arccos((2*self.d2**2 - self.da**2 +
+                             2*self.d2*self.d + self.d**2) /
+                            (2.*self.d2*(self.d2 + self.d))))/self.d
+        )
+
+    def points(self, num=10):
+
+        inner_x = self.hypocycloid_x()
+        inner_y = self.hypocycloid_y()
+        outer_x = self.epicycloid_x()
+        outer_y = self.epicycloid_y()
+        t_inner_end = self.inner_end()
+        t_outer_end = self.outer_end()
+        t_vals_outer = linspace(0, t_outer_end, num)
+        t_vals_inner = linspace(t_inner_end, 0, num)
+        pts_outer_x = list(map(outer_x, t_vals_outer))
+        pts_outer_y = list(map(outer_y, t_vals_outer))
+        pts_inner_x = list(map(inner_x, t_vals_inner))
+        pts_inner_y = list(map(inner_y, t_vals_inner))
+        pts_outer = transpose([pts_outer_x, pts_outer_y])
+        pts_inner = transpose([pts_inner_x, pts_inner_y])
+        pts1 = vstack([pts_inner[:-2], pts_outer])
+        rot = rotation(self.phipart / 4 - self.angular_backlash / 2)
+        pts1 = rot(pts1)
+        ref = reflection(0.)
+        pts2 = ref(pts1)[::-1]
+        one_tooth = [pts1, array([pts1[-1], pts2[0]]), pts2]
+        return(one_tooth)
+
+    def _update(self):
+        self.__init__(m=self.m, z=self.z, z1=self.z1, z2=self.z2,
+                      clearance=self.clearance, backlash=self.backlash, head=self.head)
+

pygears/involute_tooth.py

@@ -0,0 +1,238 @@
+# -*- coding: utf-8 -*-
+# ***************************************************************************
+# *                                                                         *
+# * This program is free software: you can redistribute it and/or modify    *
+# * it under the terms of the GNU General Public License as published by    *
+# * the Free Software Foundation, either version 3 of the License, or       *
+# * (at your option) any later version.                                     *
+# *                                                                         *
+# * 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 General Public License for more details.                            *
+# *                                                                         *
+# * You should have received a copy of the GNU General Public License       *
+# * along with this program.  If not, see <http://www.gnu.org/licenses/>.   *
+# *                                                                         *
+# ***************************************************************************
+
+from __future__ import division
+from numpy import tan, cos, sin, sqrt, arctan, pi, array, linspace, transpose, vstack, ndarray
+from ._functions import nearestpts, rotation, reflection, trimfunc, diff_norm, translation
+
+
+class InvoluteTooth():
+    def __init__(self, m=5, z=15, pressure_angle=20 * pi / 180., clearance=0.12, shift=0.5, beta=0.,
+                 undercut=False, backlash=0.00, head=0.00, properties_from_tool=False):
+        self.pressure_angle = pressure_angle
+        self.beta = beta
+        self.m_n = m
+        self.z = z
+        self.undercut = undercut
+        self.shift = shift
+        self.clearance = clearance
+        self.backlash = backlash
+        self.head = head        # factor, rename!!!
+        self.properties_from_tool = properties_from_tool
+        self._calc_gear_factors()
+
+    def _calc_gear_factors(self):
+        if self.properties_from_tool:
+            self.pressure_angle_t = arctan(
+                tan(self.pressure_angle) / cos(self.beta))
+            self.m = self.m_n / cos(self.beta)
+        else:
+            self.pressure_angle_t = self.pressure_angle
+            self.m = self.m_n
+
+        self.pitch = self.m * pi
+        self.c = self.clearance * self.m_n
+        self.midpoint = [0., 0.]
+        self.d = self.z * self.m
+        self.dw = self.m * self.z
+        self.da = self.dw + 2. * self.m_n + 2. * \
+            (self.shift + self.head) * self.m_n
+        self.df = self.dw - 2. * self.m_n - \
+            2 * self.c + 2. * self.shift * self.m_n
+        self.dg = self.d * cos(self.pressure_angle_t)
+        self.phipart = 2 * pi / self.z
+
+        self.undercut_end = sqrt(-self.df ** 2 + self.da ** 2) / self.da
+        self.undercut_rot = (-self.df / self.dw * tan(arctan((2 * ((self.m * pi) / 4. -
+                                                                   (self.c + self.m_n) * tan(self.pressure_angle_t))) / self.df)))
+
+        self.involute_end = sqrt(self.da ** 2 - self.dg ** 2) / self.dg
+        self.involute_rot1 = sqrt(-self.dg ** 2 + (self.dw) ** 2) / self.dg - arctan(
+            sqrt(-self.dg ** 2 + (self.dw) ** 2) / self.dg)
+        self.involute_rot2 = self.m / \
+            (self.d) * (pi / 2 + 2 * self.shift * tan(self.pressure_angle_t))
+        self.involute_rot2 = 1 / self.z * \
+            (pi / 2 + 2 * self.shift * tan(self.pressure_angle_t))
+        self.involute_rot = self.involute_rot1 + self.involute_rot2
+        self.angular_backlash = self.backlash / (self.d / 2)
+        self.involute_start = 0.
+        if self.dg <= self.df:
+            self.involute_start = sqrt(self.df ** 2 - self.dg ** 2) / self.dg
+
+    def undercut_points(self, num=10):
+        pts = linspace(0, self.undercut_end, num=num)
+        fx = self.undercut_function_x()
+        x = array(list(map(fx, pts)))
+        fy = self.undercut_function_y()
+        y = array(list(map(fy, pts)))
+        xy = transpose([x, y])
+        rotate = rotation(
+            self.undercut_rot + self.phipart / 2 - self.angular_backlash / 2)
+        xy = rotate(xy)
+        return(array(xy))
+
+    def involute_points(self, num=10):
+        pts = linspace(self.involute_start, self.involute_end, num=num)
+        fx = self.involute_function_x()
+        x = array(list(map(fx, pts)))
+        fy = self.involute_function_y()
+        y = array(list(map(fy, pts)))
+        rot = rotation(self.involute_rot - self.angular_backlash / 2)
+        xy = rot(transpose(array([x, y])))
+        return(xy)
+
+    def points(self, num=10):
+        l1 = self.undercut_points(num=num)
+        l2 = self.involute_points(num=num)
+        s = trimfunc(l1, l2[::-1])
+        if self.undercut:
+            if isinstance(s, ndarray):
+                u1, e1 = s
+            else:
+                u1, e1 = nearestpts(l2, l1)
+        else:
+            u1 = False
+            if self.dg > self.df:
+                u1 = vstack(
+                    [[l2[0] * self.df / (diff_norm(l2[0], [0, 0]) * 2)], [l2[0]]])
+                e1 = l2
+            else:
+                e1 = l2
+
+        reflect = reflection(0)
+        e2 = reflect(e1)[::-1]
+        if isinstance(u1, bool):
+            one_tooth = [e1, [e1[-1], e2[0]], e2]
+        else:
+            u2 = reflect(u1)[::-1]
+            one_tooth = [u1, e1, [e1[-1], e2[0]], e2, u2]
+        return(one_tooth)
+
+    def gearfunc(self, x):
+        rot = rotation(2 * x / self.dw, self.midpoint)
+        return(rot)
+
+    def undercut_function_x(self):
+        def func(psi):
+            return(
+                cos(psi - (self.df * tan(psi)) / self.dw) * sqrt(self.df ** 2 / 4 +
+                                                                 (self.df ** 2 * tan(psi) ** 2) / 4.))
+        return(func)
+
+    def undercut_function_y(self):
+        def func(psi):
+            return(
+                sin(psi - (self.df * tan(psi)) / self.dw) * sqrt(self.df ** 2 / 4 +
+                                                                 (self.df ** 2 * tan(psi) ** 2) / 4.))
+        return(func)
+
+    def involute_function_x(self):
+        def func(phi):
+            return(self.dg / 2 * cos(phi) + phi * self.dg / 2 * sin(phi))
+        return(func)
+
+    def involute_function_y(self):
+        def func(phi):
+            return(self.dg / 2 * sin(phi) - phi * self.dg / 2 * cos(phi))
+        return(func)
+
+    def _update(self):
+        if not hasattr(self, "properties_from_tool"):
+            self.properties_from_tool = True
+        self._calc_gear_factors()
+
+
+class InvoluteRack(object):
+    def __init__(self, m=5, z=15, pressure_angle=20 * pi / 180., thickness=5, beta=0, head=0, clearance=0.25, 
+                 properties_from_tool=False, add_endings=False, simplified=False):
+        self.pressure_angle = pressure_angle
+        self.thickness = thickness
+        self.m = m
+        self.z = z
+        self.beta = beta
+        self.head = head
+        self.clearance = clearance
+        self.properties_from_tool = properties_from_tool
+        self.add_endings = add_endings
+        self.simplified = simplified
+
+
+# this is not good. Find better way to stay backward compatible -> versions
+    def _update(self):
+        if not hasattr(self, "add_endings"):
+            self.add_endings = True
+        if not hasattr(self, "simplified"):
+            self.simplified = False
+
+    def points(self, num=10):
+        import copy
+        m, m_n, pitch, pressure_angle_t = self.compute_properties()
+
+        a = (2 + self.head + self.clearance) * m_n * tan(pressure_angle_t)
+        b = pitch / 4 - (1 + self.head) * m_n * tan(pressure_angle_t)
+        tooth = [
+            [-m_n * (1 + self.clearance), -a - b],
+            [m_n * (1 + self.head), -b],
+            [m_n * (1 + self.head), b],
+            [-m_n * (1 + self.clearance), a + b]
+        ]
+        teeth = [tooth]
+        trans = translation([0., pitch, 0.])
+        for i in range(self.z - 1):
+            if self.simplified and i > 3 and i < (self.z - 6):
+                tooth = trans(tooth).tolist()
+            else:
+                tooth = trans(tooth).tolist()
+                teeth.append(copy.deepcopy(tooth))
+                if self.simplified and (i == 3):
+                    teeth[-1].pop()
+                    teeth[-1].pop()
+                    teeth[-1][-1][0] = 0
+                    teeth[-1][-1][1] -= a / 2 
+                if self.simplified and (i == self.z - 6):
+                    teeth[-1].pop(0)
+                    teeth[-1].pop(0)
+                    teeth[-1][0][0] = 0
+                    teeth[-1][0][1] += a / 2
+
+        teeth = array([v for t in teeth for v in t])  # flattening
+        if self.add_endings:
+            ext1 = teeth[0] + array([0., a + b - pitch / 2])
+            ext2 = teeth[-1] - array([0., a + b - pitch / 2])
+            teeth = [ext1.tolist(), ext1.tolist()] + teeth.tolist() + [ext2.tolist(), ext2.tolist()]
+        else:
+            teeth = [teeth[0].tolist()] + teeth.tolist() + [teeth[-1].tolist()]
+        #teeth.append(list(teeth[-1]))
+        teeth[0][0] -= self.thickness
+        #teeth.append(list(teeth[0]))
+        teeth[-1][0] -= self.thickness
+        teeth.append(teeth[0])
+        return array(teeth)
+
+    def compute_properties(self):
+        if self.properties_from_tool:
+            pressure_angle_t = arctan(tan(self.pressure_angle) / cos(self.beta))
+            m = self.m / cos(self.beta)
+            m_n = self.m
+        else:
+            pressure_angle_t = self.pressure_angle
+            m = self.m
+            m_n  = self.m
+
+        pitch = m * pi
+        return m, m_n, pitch, pressure_angle_t

pygears/profile.py

@@ -0,0 +1,39 @@
+import numpy as np
+from .involute_tooth import InvoluteTooth, InvoluteRack
+from .bevel_tooth import BevelTooth
+from .cycloid_tooth import CycloidTooth
+from ._functions import rotation, rotation3D
+
+
+class _GearProfile(object):
+    rot3D = False
+    def profile(self, num=10):
+        tooth = self.points(num=num)
+        tooth = [list(point) for wire in tooth for point in wire]
+        if self.rot3D:
+            rot = rotation3D( np.pi * 2 / self.z)
+        else:
+            rot = rotation(- np.pi * 2 / self.z)
+        profile = tooth
+        for i in range(self.z - 1):
+            tooth = rot(tooth).tolist()
+            profile = profile + tooth
+        profile.append(profile[0])
+        return np.array(profile)
+
+class InvoluteProfile(InvoluteTooth, _GearProfile):
+    pass
+
+class CycloidProfile(CycloidTooth, _GearProfile):
+    pass
+
+class BevelProfile(BevelTooth, _GearProfile):
+    rot3D = True
+
+class InvoluteRackProfile(InvoluteRack):
+    def profile(self):
+        return self.points()
+
+
+
+

setup.cfg

@@ -1,2 +0,0 @@
-[metadata]
-description-file = README.md

setup.py

@@ -1,18 +1,15 @@
-import sys
+from setuptools import setup
-import os
+from pygears import __version__
 
-from setuptools import setup, find_packages
+setup(name='freecad.gears',
-
+      version=str(__version__),
-setup(
+      packages=['freecad',
-    name = 'freecad_gear',
+                'freecad.gears',
-    version = '0.3',
+        		'pygears'],
-    packages = ["freecad_gear", "freecad_gear/freecad/", "freecad_gear/gearfunc/"],
+      maintainer="looooo",
-    include_package_data=True,
+      maintainer_email="sppedflyer@gmail.com",
-    description = 'Some gears for freecad',
+      url="https://github.com/looooo/FCGear",
-    author = 'Lorenz L',
+      description="gears for FreeCAD",
-    author_email = 'sppedflyer@gmail.com',
+      install_requires=['numpy'],
-    url = 'https://github.com/looooo/FCGear',
+	  include_package_data=True
-    download_url = 'https://github.com/looooo/FCGear/tarball/0.3',
-    keywords = ['gear', 'freecad'],
-    classifiers = [],
 )