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

@@ -1,281 +1,622 @@
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+your receipt of the notice.
+
+  Termination of your rights under this section does not terminate the
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+material under section 10.
+
+  9. Acceptance Not Required for Having Copies.
+
+  You are not required to accept this License in order to receive or
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+occurring solely as a consequence of using peer-to-peer transmission
+to receive a copy likewise does not require acceptance.  However,
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+  10. Automatic Licensing of Downstream Recipients.
+
+  Each time you convey a covered work, the recipient automatically
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+
+  11. Patents.
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+work thus licensed is called the contributor's "contributor version".
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+  A contributor's "essential patent claims" are all patent claims
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+
+  A patent license is "discriminatory" if it does not include within
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+or that patent license was granted, prior to 28 March 2007.
+
+  Nothing in this License shall be construed as excluding or limiting
+any implied license or other defenses to infringement that may
+otherwise be available to you under applicable patent law.
+
+  12. No Surrender of Others' Freedom.
+
+  If conditions are imposed on you (whether by court order, agreement or
 otherwise) that contradict the conditions of this License, they do not
-excuse you from the conditions of this License.  If you cannot
+excuse you from the conditions of this License.  If you cannot convey a
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-If any portion of this section is held invalid or unenforceable under
+  13. Use with the GNU Affero General Public License.
-any particular circumstance, the balance of the section is intended to
-apply and the section as a whole is intended to apply in other
-circumstances.
 
-It is not the purpose of this section to induce you to infringe any
+  Notwithstanding any other provision of this License, you have
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-to distribute software through any other system and a licensee cannot
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-This section is intended to make thoroughly clear what is believed to
+  14. Revised Versions of this License.
-be a consequence of the rest of this License.
 
-  8. If the distribution and/or use of the Program is restricted in
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-
-  9. The Free Software Foundation may publish revised and/or new versions
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 address new problems or concerns.
 
-Each version is given a distinguishing version number.  If the Program
+  Each version is given a distinguishing version number.  If the
-specifies a version number of this License which applies to it and "any
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-later version", you have the option of following the terms and conditions
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+option of following the terms and conditions either of that numbered
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+version or of any later version published by the Free Software
-this License, you may choose any version ever published by the Free Software
+Foundation.  If the Program does not specify a version number of the
-Foundation.
+GNU General Public License, you may choose any version ever published
+by the Free Software Foundation.
 
-  10. If you wish to incorporate parts of the Program into other free
+  If the Program specifies that a proxy can decide which future
-programs whose distribution conditions are different, write to the author
+versions of the GNU General Public License can be used, that proxy's
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+public statement of acceptance of a version permanently authorizes you
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+to choose that version for the Program.
-make exceptions for this.  Our decision will be guided by the two goals
-of preserving the free status of all derivatives of our free software and
-of promoting the sharing and reuse of software generally.
 
-                            NO WARRANTY
+  Later license versions may give you additional or different
+permissions.  However, no additional obligations are imposed on any
+author or copyright holder as a result of your choosing to follow a
+later version.
 
-  11. BECAUSE THE PROGRAM IS LICENSED FREE OF CHARGE, THERE IS NO WARRANTY
+  15. Disclaimer of Warranty.
-FOR THE PROGRAM, TO THE EXTENT PERMITTED BY APPLICABLE LAW.  EXCEPT WHEN
-OTHERWISE STATED IN WRITING THE COPYRIGHT HOLDERS AND/OR OTHER PARTIES
-PROVIDE THE PROGRAM "AS IS" WITHOUT WARRANTY OF ANY KIND, EITHER EXPRESSED
-OR IMPLIED, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF
-MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE.  THE ENTIRE RISK AS
-TO THE QUALITY AND PERFORMANCE OF THE PROGRAM IS WITH YOU.  SHOULD THE
-PROGRAM PROVE DEFECTIVE, YOU ASSUME THE COST OF ALL NECESSARY SERVICING,
-REPAIR OR CORRECTION.
 
-  12. IN NO EVENT UNLESS REQUIRED BY APPLICABLE LAW OR AGREED TO IN WRITING
+  THERE IS NO WARRANTY FOR THE PROGRAM, TO THE EXTENT PERMITTED BY
-WILL ANY COPYRIGHT HOLDER, OR ANY OTHER PARTY WHO MAY MODIFY AND/OR
+APPLICABLE LAW.  EXCEPT WHEN OTHERWISE STATED IN WRITING THE COPYRIGHT
-REDISTRIBUTE THE PROGRAM AS PERMITTED ABOVE, BE LIABLE TO YOU FOR DAMAGES,
+HOLDERS AND/OR OTHER PARTIES PROVIDE THE PROGRAM "AS IS" WITHOUT WARRANTY
-INCLUDING ANY GENERAL, SPECIAL, INCIDENTAL OR CONSEQUENTIAL DAMAGES ARISING
+OF ANY KIND, EITHER EXPRESSED OR IMPLIED, INCLUDING, BUT NOT LIMITED TO,
-OUT OF THE USE OR INABILITY TO USE THE PROGRAM (INCLUDING BUT NOT LIMITED
+THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
-TO LOSS OF DATA OR DATA BEING RENDERED INACCURATE OR LOSSES SUSTAINED BY
+PURPOSE.  THE ENTIRE RISK AS TO THE QUALITY AND PERFORMANCE OF THE PROGRAM
-YOU OR THIRD PARTIES OR A FAILURE OF THE PROGRAM TO OPERATE WITH ANY OTHER
+IS WITH YOU.  SHOULD THE PROGRAM PROVE DEFECTIVE, YOU ASSUME THE COST OF
-PROGRAMS), EVEN IF SUCH HOLDER OR OTHER PARTY HAS BEEN ADVISED OF THE
+ALL NECESSARY SERVICING, REPAIR OR CORRECTION.
-POSSIBILITY OF SUCH DAMAGES.
+
+  16. Limitation of Liability.
+
+  IN NO EVENT UNLESS REQUIRED BY APPLICABLE LAW OR AGREED TO IN WRITING
+WILL ANY COPYRIGHT HOLDER, OR ANY OTHER PARTY WHO MODIFIES AND/OR CONVEYS
+THE PROGRAM AS PERMITTED ABOVE, BE LIABLE TO YOU FOR DAMAGES, INCLUDING ANY
+GENERAL, SPECIAL, INCIDENTAL OR CONSEQUENTIAL DAMAGES ARISING OUT OF THE
+USE OR INABILITY TO USE THE PROGRAM (INCLUDING BUT NOT LIMITED TO LOSS OF
+DATA OR DATA BEING RENDERED INACCURATE OR LOSSES SUSTAINED BY YOU OR THIRD
+PARTIES OR A FAILURE OF THE PROGRAM TO OPERATE WITH ANY OTHER PROGRAMS),
+EVEN IF SUCH HOLDER OR OTHER PARTY HAS BEEN ADVISED OF THE POSSIBILITY OF
+SUCH DAMAGES.
+
+  17. Interpretation of Sections 15 and 16.
+
+  If the disclaimer of warranty and limitation of liability provided
+above cannot be given local legal effect according to their terms,
+reviewing courts shall apply local law that most closely approximates
+an absolute waiver of all civil liability in connection with the
+Program, unless a warranty or assumption of liability accompanies a
+copy of the Program in return for a fee.
 
                      END OF TERMS AND CONDITIONS
 
@@ -287,15 +628,15 @@ free software which everyone can redistribute and change under these terms.
 
   To do so, attach the following notices to the program.  It is safest
 to attach them to the start of each source file to most effectively
-convey the exclusion of warranty; and each file should have at least
+state the exclusion of warranty; and each file should have at least
 the "copyright" line and a pointer to where the full notice is found.
 
-    {description}
+    <one line to give the program's name and a brief idea of what it does.>
-    Copyright (C) {year}  {fullname}
+    Copyright (C) <year>  <name of author>
 
-    This program is free software; you can redistribute it and/or modify
+    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 2 of the License, or
+    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,
@@ -303,37 +644,31 @@ the "copyright" line and a pointer to where the full notice is found.
     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
+    You should have received a copy of the GNU General Public License
-    with this program; if not, write to the Free Software Foundation, Inc.,
+    along with this program.  If not, see <https://www.gnu.org/licenses/>.
-    51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
 
 Also add information on how to contact you by electronic and paper mail.
 
-If the program is interactive, make it output a short notice like this
+  If the program does terminal interaction, make it output a short
-when it starts in an interactive mode:
+notice like this when it starts in an interactive mode:
 
-    Gnomovision version 69, Copyright (C) year name of author
+    <program>  Copyright (C) <year>  <name of author>
-    Gnomovision comes with ABSOLUTELY NO WARRANTY; for details type `show w'.
+    This program comes with ABSOLUTELY NO WARRANTY; for details type `show w'.
     This is free software, and you are welcome to redistribute it
     under certain conditions; type `show c' for details.
 
 The hypothetical commands `show w' and `show c' should show the appropriate
-parts of the General Public License.  Of course, the commands you use may
+parts of the General Public License.  Of course, your program's commands
-be called something other than `show w' and `show c'; they could even be
+might be different; for a GUI interface, you would use an "about box".
-mouse-clicks or menu items--whatever suits your program.
 
-You should also get your employer (if you work as a programmer) or your
+  You should also get your employer (if you work as a programmer) or school,
-school, if any, to sign a "copyright disclaimer" for the program, if
+if any, to sign a "copyright disclaimer" for the program, if necessary.
-necessary.  Here is a sample; alter the names:
+For more information on this, and how to apply and follow the GNU GPL, see
+<https://www.gnu.org/licenses/>.
 
-  Yoyodyne, Inc., hereby disclaims all copyright interest in the program
+  The GNU General Public License does not permit incorporating your program
-  `Gnomovision' (which makes passes at compilers) written by James Hacker.
+into proprietary programs.  If your program is a subroutine library, you
-
+may consider it more useful to permit linking proprietary applications with
-  {signature of Ty Coon}, 1 April 1989
+the library.  If this is what you want to do, use the GNU Lesser General
-  Ty Coon, President of Vice
+Public License instead of this License.  But first, please read
-
+<https://www.gnu.org/licenses/why-not-lgpl.html>.
-This General Public License does not permit incorporating your program into
-proprietary programs.  If your program is a subroutine library, you may
-consider it more useful to permit linking proprietary applications with the
-library.  If this is what you want to do, use the GNU Lesser General
-Public License instead of this License.

README.md

@@ -1,38 +1,57 @@
-# A Gear module 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)  
-[![Liberapay](http://img.shields.io/liberapay/patrons/looooo.svg?logo=liberapay)](https://liberapay.com/looooo/donate)
 
 ## Requirements
-FreeCAD > v0.16
+FreeCAD > v0.16  
+__python > 3 (for python2 use branch py2)__
 
-# Screenshots
-![gear](examples/spiral.png)
-![gear1](examples/animated_spiral.gif)
 
 ## Supported gear-types
 
 ### Cylindric Involute
-#### Shifting
+* Shifting
-#### Helical
+* Helical
-#### Double Helical
+* Double Helical
-#### Undercut
+* Undercut  
+
+![involute-gear](examples/involute-double-helical-gear.png)
+
 
 ### Involute Rack
+![involute-rack](examples/involute-rack.png)
 
 ### Cylindric Cycloid
-#### Helical
+* Helical
-#### Double Helical
+* Double Helical
+
+![cycloid-gear](examples/cycloid-gear.png)
+
+### Cycloid Rack
+
+![cycloid-rack](examples/cycloid-rack.png)
 
 ### Spherical Involute Bevel-Gear
-#### Spiral
+* 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)
 
 ---------------------------
 
 ## Installation
 
-### Addon Manger  
+### 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.
 
@@ -79,4 +98,4 @@ by browsing this repositories [issue queue](https://github.com/looooo/freecad.ge
 * "FC Gears: Feedback thread" ([thread](https://forum.freecadweb.org/viewtopic.php?f=8&t=27626))  
 
 # License
-GNU General Public License v2.0
+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

@@ -1,11 +1,11 @@
 # script for bevel-gear animation
 
-from PySide import QtGui, QtCore
+from PySide import QtCore
-import FreeCADGui as Gui
+import FreeCAD as app
+import FreeCADGui as gui
 import numpy as np
-import imageio
 
-doc = App.ActiveDocument
+doc = app.ActiveDocument
 g2 = doc.Common
 g1 = doc.Common001
 
@@ -15,12 +15,9 @@ def make_pics():
     n = 30
     for i in range(n):
         phi = np.pi * 2 / 30 / n
-    	g1.Placement.Rotation.Angle += phi * 2
+        g1.Placement.Rotation.Angle += phi * 2
-    	g2.Placement.Rotation.Angle -= phi
+        g2.Placement.Rotation.Angle -= phi
-        Gui.activeDocument().activeView().saveImage('/home/lo/Schreibtisch/animated_gear/gear_{}.png'.format(i) ,300,300,'Current')
+        gui.activeDocument().activeView().saveImage('/home/lo/Schreibtisch/animated_gear/gear_{}.png'.format(i) ,300,300,'Current')
-
-def make_animated_gif():
-
 
 def update(*args):
     print("time")

freecad/__init__.py

@@ -1 +0,0 @@
-__path__ = __import__('pkgutil').extend_path(__path__, __name__)

freecad/gears/__init__.py

@@ -1,2 +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

@@ -1,28 +1,27 @@
-#***************************************************************************
+# -*- 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)    *
+# * This program is free software: you can redistribute it and/or modify    *
-#*   as published by the Free Software Foundation; either version 2 of     *
+# * it under the terms of the GNU General Public License as published by    *
-#*   the License, or (at your option) any later version.                   *
+# * the Free Software Foundation, either version 3 of the License, or       *
-#*   for detail see the LICENCE text file.                                 *
+# * (at your option) any later version.                                     *
-#*                                                                         *
+# *                                                                         *
-#*   This program is distributed in the hope that it will be useful,       *
+# * This program is distributed in the hope that it will be useful,         *
-#*   but WITHOUT ANY WARRANTY; without even the implied warranty of        *
+# * but WITHOUT ANY WARRANTY; without even the implied warranty of          *
-#*   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the         *
+# * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the           *
-#*   GNU Library General Public License for more details.                  *
+# * GNU General Public License for more details.                            *
-#*                                                                         *
+# *                                                                         *
-#*   You should have received a copy of the GNU Library General Public     *
+# * You should have received a copy of the GNU General Public License       *
-#*   License along with this program; if not, write to the Free Software   *
+# * along with this program.  If not, see <http://www.gnu.org/licenses/>.   *
-#*   Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA  02111-1307  *
+# *                                                                         *
-#*   USA                                                                   *
+# ***************************************************************************
-#*                                                                         *
-#***************************************************************************
 
 import os
 import FreeCAD
 import FreeCADGui as Gui
-from .features import ViewProviderGear, involute_gear, involute_gear_rack
+from .features import ViewProviderGear, InvoluteGear, InternalInvoluteGear, InvoluteGearRack, CycloidGearRack
-from .features import cycloide_gear, bevel_gear, crown_gear
+from .features import CycloidGear, BevelGear, CrownGear, WormGear, TimingGear, LanternGear, HypoCycloidGear, BaseGear
+from .connector import GearConnector, ViewProviderGearConnector
 
 
 class BaseCommand(object):
@@ -41,54 +40,144 @@ class BaseCommand(object):
 
     def Activated(self):
         Gui.doCommandGui("import freecad.gears.commands")
-        Gui.doCommandGui("freecad.gears.commands.{}.create()".format(self.__class__.__name__))
+        Gui.doCommandGui("freecad.gears.commands.{}.create()".format(
+            self.__class__.__name__))
         FreeCAD.ActiveDocument.recompute()
         Gui.SendMsgToActiveView("ViewFit")
 
     @classmethod
     def create(cls):
-        obj = FreeCAD.ActiveDocument.addObject("Part::FeaturePython", cls.NAME)
+        if FreeCAD.GuiUp:
-        cls.GEAR_FUNCTION(obj)
+            # borrowed from threaded profiles
-        ViewProviderGear(obj.ViewObject)
+            # 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, 
+        return {'Pixmap': self.Pixmap,
-                'MenuText': self.MenuText, 
+                'MenuText': self.MenuText,
                 'ToolTip': self.ToolTip}
 
 
 class CreateInvoluteGear(BaseCommand):
     NAME = "InvoluteGear"
-    GEAR_FUNCTION = involute_gear
+    GEAR_FUNCTION = InvoluteGear
     Pixmap = os.path.join(BaseCommand.ICONDIR, 'involutegear.svg')
-    MenuText = 'involute gear'
+    MenuText = 'Involute Gear'
-    ToolTip = '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 = involute_gear_rack
+    GEAR_FUNCTION = InvoluteGearRack
     Pixmap = os.path.join(BaseCommand.ICONDIR, 'involuterack.svg')
-    MenuText = 'involute rack'
+    MenuText = 'Involute Rack'
-    ToolTip = '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 = crown_gear
+    GEAR_FUNCTION = CrownGear
     Pixmap = os.path.join(BaseCommand.ICONDIR, 'crowngear.svg')
-    MenuText = 'crown gear'
+    MenuText = 'Crown Gear'
-    ToolTip = 'crown gear'
+    ToolTip = 'Create a Crown gear'
 
-class CreateCycloideGear(BaseCommand):
+
+class CreateCycloidGear(BaseCommand):
     NAME = "CycloidGear"
-    GEAR_FUNCTION = cycloide_gear
+    GEAR_FUNCTION = CycloidGear
-    Pixmap = os.path.join(BaseCommand.ICONDIR, 'cycloidegear.svg')
+    Pixmap = os.path.join(BaseCommand.ICONDIR, 'cycloidgear.svg')
-    MenuText = 'cycloide gear'
+    MenuText = 'Cycloid Gear'
-    ToolTip = 'cycloide gear'
+    ToolTip = 'Create a Cycloid gear'
+
 
 class CreateBevelGear(BaseCommand):
     NAME = "BevelGear"
-    GEAR_FUNCTION = bevel_gear
+    GEAR_FUNCTION = BevelGear
     Pixmap = os.path.join(BaseCommand.ICONDIR, 'bevelgear.svg')
-    MenuText = 'bevel gear'
+    MenuText = 'Bevel Gear'
-    ToolTip = '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 @@
    id="svg3799"
    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/timinggear.svg

@@ -0,0 +1,384 @@
+<?xml version="1.0" encoding="UTF-8" standalone="no"?>
+<svg
+   xmlns:dc="http://purl.org/dc/elements/1.1/"
+   xmlns:cc="http://creativecommons.org/ns#"
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+   xmlns:xlink="http://www.w3.org/1999/xlink"
+   xmlns:sodipodi="http://sodipodi.sourceforge.net/DTD/sodipodi-0.dtd"
+   xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape"
+   sodipodi:docname="timinggear.svg"
+   inkscape:version="1.0 (6e3e5246a0, 2020-05-07)"
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+   id="svg3799"
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+       style="fill:none;stroke:#000000;stroke-width:32.69573975;stroke-linecap:round;stroke-linejoin:miter;stroke-miterlimit:4;stroke-dasharray:none;stroke-opacity:1"
+       d="m 333.62512,-151.57576 44.04049,-147.06378"
+       id="path185"
+       inkscape:connector-curvature="0" />
+    <path
+       inkscape:connector-curvature="0"
+       id="path187"
+       d="m 376.87917,-151.57576 44.04049,-147.06378"
+       style="fill:none;stroke:#000000;stroke-width:32.69573975;stroke-linecap:round;stroke-linejoin:miter;stroke-miterlimit:4;stroke-dasharray:none;stroke-opacity:1" />
+  </g>
+</svg>

freecad/gears/init_gui.py

@@ -1,22 +1,20 @@
-#***************************************************************************
+# -*- 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)    *
+# * This program is free software: you can redistribute it and/or modify    *
-#*   as published by the Free Software Foundation; either version 2 of     *
+# * it under the terms of the GNU General Public License as published by    *
-#*   the License, or (at your option) any later version.                   *
+# * the Free Software Foundation, either version 3 of the License, or       *
-#*   for detail see the LICENCE text file.                                 *
+# * (at your option) any later version.                                     *
-#*                                                                         *
+# *                                                                         *
-#*   This program is distributed in the hope that it will be useful,       *
+# * This program is distributed in the hope that it will be useful,         *
-#*   but WITHOUT ANY WARRANTY; without even the implied warranty of        *
+# * but WITHOUT ANY WARRANTY; without even the implied warranty of          *
-#*   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the         *
+# * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the           *
-#*   GNU Library General Public License for more details.                  *
+# * GNU General Public License for more details.                            *
-#*                                                                         *
+# *                                                                         *
-#*   You should have received a copy of the GNU Library General Public     *
+# * You should have received a copy of the GNU General Public License       *
-#*   License along with this program; if not, write to the Free Software   *
+# * along with this program.  If not, see <http://www.gnu.org/licenses/>.   *
-#*   Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA  02111-1307  *
+# *                                                                         *
-#*   USA                                                                   *
+# ***************************************************************************
-#*                                                                         *
-#***************************************************************************
 
 import os
 import FreeCADGui as Gui
@@ -26,41 +24,62 @@ __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(
-    App.Console.PrintWarning("the class Workbench is loaded, although not imported: magic")
+        "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):
+
+class GearWorkbench(Workbench):
     """glider workbench"""
     MenuText = "Gear"
     ToolTip = "Gear Workbench"
     Icon = os.path.join(__dirname__,  'icons', 'gearworkbench.svg')
     commands = [
-                "CreateInvoluteGear",
+        "CreateInvoluteGear",
-                "CreateInvoluteRack",
+        "CreateInternalInvoluteGear",
-                "CreateCycloideGear",
+        "CreateInvoluteRack",
-                "CreateBevelGear",
+        "CreateCycloidGear",
-                "CreateCrownGear"]
+        "CreateCycloidRack",
+        "CreateBevelGear",
+        "CreateCrownGear",
+        "CreateWormGear",
+        "CreateTimingGear",
+        "CreateLanternGear",
+        "CreateHypoCycloidGear",
+        "CreateGearConnector"]
 
     def GetClassName(self):
         return "Gui::PythonWorkbench"
 
     def Initialize(self):
-        from .commands import CreateCycloideGear, CreateInvoluteGear
+        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.addIconPath(App.getHomePath()+"Mod/gear/icons/")
         Gui.addCommand('CreateInvoluteGear', CreateInvoluteGear())
-        Gui.addCommand('CreateCycloideGear', CreateCycloideGear())
+        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())
+
+Gui.addWorkbench(GearWorkbench())

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

@@ -1 +1,19 @@
-__version__ = "0.01"
+# -*- 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

@@ -1,51 +1,48 @@
 # -*- coding: utf-8 -*-
-#***************************************************************************
+# ***************************************************************************
-#*                                                                         *
+# *                                                                         *
-#*   This program is free software; you can redistribute it and/or modify  *
+# * This program is free software: you can redistribute it and/or modify    *
-#*   it under the terms of the GNU Lesser General Public License (LGPL)    *
+# * it under the terms of the GNU General Public License as published by    *
-#*   as published by the Free Software Foundation; either version 2 of     *
+# * the Free Software Foundation, either version 3 of the License, or       *
-#*   the License, or (at your option) any later version.                   *
+# * (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,         *
-#*   This program is distributed in the hope that it will be useful,       *
+# * but WITHOUT ANY WARRANTY; without even the implied warranty of          *
-#*   but WITHOUT ANY WARRANTY; without even the implied warranty of        *
+# * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the           *
-#*   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the         *
+# * GNU General Public License for more details.                            *
-#*   GNU Library General Public License for more details.                  *
+# *                                                                         *
-#*                                                                         *
+# * You should have received a copy of the GNU General Public License       *
-#*   You should have received a copy of the GNU Library General Public     *
+# * along with this program.  If not, see <http://www.gnu.org/licenses/>.   *
-#*   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
+from numpy.linalg import solve, norm
-import numpy as np
 
 
-def reflection(pressure_angle):
+def reflection(angle):
     mat = array(
-        [[cos(2 * pressure_angle), -sin(2 * pressure_angle)], [-sin(2 * pressure_angle), -cos(2 * pressure_angle)]])
+        [[cos(2 * angle), -sin(2 * angle)], [-sin(2 * angle), -cos(2 * angle)]])
 
     def func(x):
         return(dot(x, mat))
     return(func)
 
 
-def reflection3D(pressure_angle):
+def reflection3D(angle):
-    mat = array([[cos(2 * pressure_angle), -sin(2 * pressure_angle), 0.],
+    mat = array([[cos(2 * angle), -sin(2 * angle), 0.],
-                 [-sin(2 * pressure_angle), -cos(2 * pressure_angle), 0.], [0., 0., 1.]])
+                 [-sin(2 * angle), -cos(2 * angle), 0.], [0., 0., 1.]])
 
     def func(x):
         return(dot(x, mat))
     return(func)
 
 
-def rotation(pressure_angle, midpoint=None):
+def rotation(angle, midpoint=None):
     midpoint = midpoint or [0., 0.]
-    mat = array([[cos(pressure_angle), -sin(pressure_angle)], [sin(pressure_angle), cos(pressure_angle)]])
+    mat = array([[cos(angle), -sin(angle)],
+                 [sin(angle), cos(angle)]])
     midpoint = array(midpoint)
     vec = midpoint - dot(midpoint, mat)
     trans = translation(vec)
@@ -55,11 +52,11 @@ def rotation(pressure_angle, midpoint=None):
     return(func)
 
 
-def rotation3D(pressure_angle):
+def rotation3D(angle):
     mat = array(
         [
-            [cos(pressure_angle), -sin(pressure_angle), 0.],
+            [cos(angle), -sin(angle), 0.],
-            [sin(pressure_angle), cos(pressure_angle), 0.],
+            [sin(angle), cos(angle), 0.],
             [0., 0., 1.]])
 
     def func(xx):
@@ -108,7 +105,6 @@ def trim(p1, p2, p3, p4):
             return(a1 + g * (a2 - a1))
         else:
             return(False)
-    return(False)
 
 
 def trimfunc(l1, l2):
@@ -128,7 +124,7 @@ def trimfunc(l1, l2):
                     l2 == [l2[0]]
                 else:
                     l2 = l2[jk::-1]
-                return(array([vstack([l1, [s]]), vstack([[s], l2])]))
+                return([vstack([l1, [s]]), vstack([[s], l2])])
             j0 = j
             jk += 1
         i0 = i
@@ -136,9 +132,9 @@ def trimfunc(l1, l2):
     return(False)
 
 
-def norm(vec1, vec2):
+def diff_norm(vec1, vec2):
     vec = array(vec2) - array(vec1)
-    return np.linalg.norm(vec)
+    return norm(vec)
 
 
 def nearestpts(evolv, underc):
@@ -149,10 +145,10 @@ def nearestpts(evolv, underc):
     for i in array(evolv[1:]):
         jk = 0
         for j in array(underc[1:]):
-            l = norm(i, j)
+            l = diff_norm(i, j)
             if l < outmin:
-                re = norm(i, [0, 0])
+                re = diff_norm(i, [0, 0])
-                ru = norm(j, [0, 0])
+                ru = diff_norm(j, [0, 0])
                 if re > ru:
                     outmin = l
                     iout, jout = [ik, jk]
@@ -161,13 +157,24 @@ def nearestpts(evolv, underc):
     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 /= np.linalg.norm(d)
+    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

@@ -1,33 +1,28 @@
 # -*- coding: utf-8 -*-
-#***************************************************************************
+# ***************************************************************************
-#*                                                                         *
+# *                                                                         *
-#*   This program is free software; you can redistribute it and/or modify  *
+# * This program is free software: you can redistribute it and/or modify    *
-#*   it under the terms of the GNU Lesser General Public License (LGPL)    *
+# * it under the terms of the GNU General Public License as published by    *
-#*   as published by the Free Software Foundation; either version 2 of     *
+# * the Free Software Foundation, either version 3 of the License, or       *
-#*   the License, or (at your option) any later version.                   *
+# * (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,         *
-#*   This program is distributed in the hope that it will be useful,       *
+# * but WITHOUT ANY WARRANTY; without even the implied warranty of          *
-#*   but WITHOUT ANY WARRANTY; without even the implied warranty of        *
+# * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the           *
-#*   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the         *
+# * GNU General Public License for more details.                            *
-#*   GNU Library General Public License for more details.                  *
+# *                                                                         *
-#*                                                                         *
+# * You should have received a copy of the GNU General Public License       *
-#*   You should have received a copy of the GNU Library General Public     *
+# * along with this program.  If not, see <http://www.gnu.org/licenses/>.   *
-#*   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
-import numpy as np
 from ._functions import rotation3D, reflection3D, intersection_line_circle
 
 
-
+class BevelTooth(object):
-class bevel_tooth(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
@@ -35,57 +30,39 @@ class bevel_tooth(object):
         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) -
+                                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) -
+                                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)) -
+                                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(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.*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.*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)) -
+                                                                                                                                                                              (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 +
+                                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.*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 +
+                                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.*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)) +
+                                                                                                                                                                                                         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) +
+                                                                                                                                                                                                             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))
+                                                                                                                                                                                                                                                                                                          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 = -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.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
 
-        # if self.involute_start_radius < self.r_f:
-        #     self.add_foot = False
-        #     self.involute_start = -arccos(
-        #         sqrt((42 + 16*cos(2*self.pressure_angle) + 6*cos(4*self.pressure_angle) -
-        #         4*cos(4*self.pressure_angle - 2*self.pitch_angle) - 8*cos(2*(self.pressure_angle - self.pitch_angle)) +
-        #         cos(4*(self.pressure_angle - 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(2*(2*self.pressure_angle + 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) + 16*cos(2*self.pitch_angle -
-        #         (4*sin(self.pitch_angle))/self.z) + 24*cos(4*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) -
-        #         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) + 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) + 32*sqrt(2)*sqrt(-(cos(self.pressure_angle)**2*
-        #         (-2 - 2*cos(2*self.pressure_angle) + cos(2*(self.pressure_angle - 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))*cos(self.pitch_angle - (2*sin(self.pitch_angle))/self.z)**2*
-        #         sin(2*self.pitch_angle)**2)))/(-6 - 2*cos(2*self.pressure_angle) + cos(2*(self.pressure_angle - self.pitch_angle)) -
-        #         2*cos(2*self.pitch_angle) + cos(2*(self.pressure_angle + self.pitch_angle)))**2)/sqrt(2))
-
     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))*
+                (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)
 
@@ -93,7 +70,7 @@ class bevel_tooth(object):
         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)*
+                                                                           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)
 
@@ -132,7 +109,7 @@ class bevel_tooth(object):
         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.backlash / 4)
+        backlash_rot = rotation3D(self.angular_backlash / 2)
         xyz = backlash_rot(xyz)
         return(xyz)
 
@@ -142,28 +119,19 @@ class bevel_tooth(object):
         pts = rot(pts)
         ref = reflection3D(pi/2)
         pts1 = ref(pts)[::-1]
-        rot = rotation3D(2*pi/self.z)
         if self.add_foot:
-            return(array([
+            return([
                 array([pts[0], pts[1]]),
-                pts[1:],
+                array(pts[1:]),
                 array([pts[-1], pts1[0]]),
-                pts1[:-1],
+                array(pts1[:-1]),
                 array([pts1[-2], pts1[-1]])
-                ]))
+            ])
         else:
-            return(array([pts, array([pts[-1], pts1[0]]), pts1]))
+            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)
-
-
-if __name__ == "__main__":
-    from matplotlib import pyplot
-    gear = bevel_tooth(z=60, clearance=0.0, pitch_angle=np.deg2rad(45))
-    x, y, z = gear.involute_points().T
-    pyplot.plot(x, y)
-    pyplot.show()

pygears/computation.py

@@ -1,9 +1,27 @@
-import numpy as np
+# -*- coding: utf-8 -*-
-from scipy import optimize as opt
+# ***************************************************************************
+# *                                                                         *
+# * 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/>.   *
+# *                                                                         *
+# ***************************************************************************
 
-def computeShiftedGears(m, alpha, t1, t2, x1, x2):
+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]
@@ -11,13 +29,36 @@ def computeShiftedGears(m, alpha, t1, t2, x1, x2):
         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]
     """
-    inv = lambda x: np.tan(x) - x
+    def inv(x): 
+        return np.tan(x) - x
+
     inv_alpha_w = inv(alpha) + 2 * np.tan(alpha) * (x1 + x2) / (t1 + t2)
-    root_inv = lambda x: inv(x) - inv_alpha_w
+
-    alpha_w = opt.fsolve(root_inv, 0.)
+    def root_inv(x):
-    dist = m * (t1+ t2) / 2 * np.cos(alpha) / np.cos(alpha_w)
+        return inv(x) - inv_alpha_w
-    return dist, 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/cycloide_tooth.py

@@ -1,117 +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 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, clearance = 0.12, backlash = 0.00):
-        self.m = m
-        self.z = z
-        self.clearance = clearance
-        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.clearance * 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 = 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.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,
-                      clearance = self.clearance, 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()

pygears/involute_tooth.py

@@ -1,32 +1,29 @@
 # -*- coding: utf-8 -*-
-#***************************************************************************
+# ***************************************************************************
-#*                                                                         *
+# *                                                                         *
-#*   This program is free software; you can redistribute it and/or modify  *
+# * This program is free software: you can redistribute it and/or modify    *
-#*   it under the terms of the GNU Lesser General Public License (LGPL)    *
+# * it under the terms of the GNU General Public License as published by    *
-#*   as published by the Free Software Foundation; either version 2 of     *
+# * the Free Software Foundation, either version 3 of the License, or       *
-#*   the License, or (at your option) any later version.                   *
+# * (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,         *
-#*   This program is distributed in the hope that it will be useful,       *
+# * but WITHOUT ANY WARRANTY; without even the implied warranty of          *
-#*   but WITHOUT ANY WARRANTY; without even the implied warranty of        *
+# * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the           *
-#*   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the         *
+# * GNU General Public License for more details.                            *
-#*   GNU Library General Public License for more details.                  *
+# *                                                                         *
-#*                                                                         *
+# * You should have received a copy of the GNU General Public License       *
-#*   You should have received a copy of the GNU Library General Public     *
+# * along with this program.  If not, see <http://www.gnu.org/licenses/>.   *
-#*   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
+from ._functions import nearestpts, rotation, reflection, trimfunc, diff_norm, translation
-import numpy as np
 
-class involute_tooth():
+
+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):
+                 undercut=False, backlash=0.00, head=0.00, properties_from_tool=False):
         self.pressure_angle = pressure_angle
         self.beta = beta
         self.m_n = m
@@ -36,16 +33,25 @@ class involute_tooth():
         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):
-        self.pressure_angle_t = arctan(tan(self.pressure_angle) / cos(self.beta))
+        if self.properties_from_tool:
-        self.m = self.m_n / cos(self.beta)
+            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.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)
@@ -53,20 +59,21 @@ class involute_tooth():
 
         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.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_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()
@@ -75,7 +82,7 @@ class involute_tooth():
         y = array(list(map(fy, pts)))
         xy = transpose([x, y])
         rotate = rotation(
-            self.undercut_rot + self.phipart / 2 - self.backlash / 4)
+            self.undercut_rot + self.phipart / 2 - self.angular_backlash / 2)
         xy = rotate(xy)
         return(array(xy))
 
@@ -85,7 +92,7 @@ class involute_tooth():
         x = array(list(map(fx, pts)))
         fy = self.involute_function_y()
         y = array(list(map(fy, pts)))
-        rot = rotation(self.involute_rot - self.backlash / 4)
+        rot = rotation(self.involute_rot - self.angular_backlash / 2)
         xy = rot(transpose(array([x, y])))
         return(xy)
 
@@ -102,7 +109,7 @@ class involute_tooth():
             u1 = False
             if self.dg > self.df:
                 u1 = vstack(
-                    [[l2[0] * self.df / (norm(l2[0], [0, 0]) * 2)], [l2[0]]])
+                    [[l2[0] * self.df / (diff_norm(l2[0], [0, 0]) * 2)], [l2[0]]])
                 e1 = l2
             else:
                 e1 = l2
@@ -110,7 +117,6 @@ class involute_tooth():
         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]
@@ -124,20 +130,20 @@ class involute_tooth():
     def undercut_function_x(self):
         def func(psi):
             return(
-               cos(psi - (self.df * tan(psi)) / self.dw) * sqrt(self.df ** 2 / 4 +
+                cos(psi - (self.df * tan(psi)) / self.dw) * sqrt(self.df ** 2 / 4 +
-                                                                (self.df ** 2 * tan(psi) ** 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.))
+                                                                 (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(self.dg / 2 * cos(phi) + phi * self.dg / 2 * sin(phi))
         return(func)
 
     def involute_function_y(self):
@@ -146,60 +152,87 @@ class involute_tooth():
         return(func)
 
     def _update(self):
-        self.__init__(m = self.m_n, z = self.z,
+        if not hasattr(self, "properties_from_tool"):
-                pressure_angle = self.pressure_angle, clearance = self.clearance, shift = self.shift,
+            self.properties_from_tool = True
-                beta = self.beta, undercut = self.undercut, backlash = self.backlash, head = self.head)
+        self._calc_gear_factors()
 
 
-class involute_rack(object):
+class InvoluteRack(object):
-    def __init__(self, m=5, z=15, pressure_angle=20 * pi / 180., thickness=5, beta=0, head=0):
+    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):
-        self.__init__(m = self.m, z = self.z, pressure_angle = self.pressure_angle,
+        if not hasattr(self, "add_endings"):
-                      thickness=self.thickness, beta=self.beta, head=self.head)
+            self.add_endings = True
+        if not hasattr(self, "simplified"):
+            self.simplified = False
 
     def points(self, num=10):
-        pressure_angle_t = arctan(tan(self.pressure_angle) / cos(self.beta))
+        import copy
-        m = self.m / cos(self.beta)
+        m, m_n, pitch, pressure_angle_t = self.compute_properties()
 
-        a = (2 + self.head) * m * tan(pressure_angle_t)
+        a = (2 + self.head + self.clearance) * m_n * tan(pressure_angle_t)
-        b = (m * pi) / 4 - (1 + self.head) * m * tan(pressure_angle_t)
+        b = pitch / 4 - (1 + self.head) * m_n * tan(pressure_angle_t)
-        tooth= [
+        tooth = [
-            [-self.m, -a - b],
+            [-m_n * (1 + self.clearance), -a - b],
-            [self.m * (1 + self.head), -b],
+            [m_n * (1 + self.head), -b],
-            [self.m * (1 + self.head), b],
+            [m_n * (1 + self.head), b],
-            [-self.m, a + b]
+            [-m_n * (1 + self.clearance), a + b]
-            ]
+        ]
         teeth = [tooth]
-        trans = translation([0., m * pi, 0.])
+        trans = translation([0., pitch, 0.])
         for i in range(self.z - 1):
-            teeth.append(trans(teeth[-1]))
+            if self.simplified and i > 3 and i < (self.z - 6):
-        teeth = list(np.vstack(teeth))
+                tooth = trans(tooth).tolist()
-        teeth.append(list(teeth[-1]))
+            else:
-        teeth[-1][0] -= self.thickness
+                tooth = trans(tooth).tolist()
-        teeth.append(list(teeth[0]))
+                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(teeth)
+        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
-
-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()
-

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.py

@@ -11,4 +11,5 @@ setup(name='freecad.gears',
       url="https://github.com/looooo/FCGear",
       description="gears for FreeCAD",
       install_requires=['numpy'],
-include_package_data=True)
+	  include_package_data=True
+)