{{Macro
|Name=MatrixTransform
|Icon=Macro_MatrixTransform.png
|Description=Applies linear transformation to a shape, defined by a 3x3 matrix. It is possible to: apply non-linear scaling to a shape, shear a shape, rotate a shape.
{{ColoredText|#ff0000|#ffff00|This macro is composed of 2 macro: '''MatrixTransform.FCMacro''' (launcher) and '''MatrixTransform.py''' (executor).}}
The '''.FCMacro''' is installed with AddonManager you must install the '''.py''' macro manually.
Link of th two macros:
[https://github.com/DeepSOIC/FreeCAD-Macros/raw/master/MatrixTransform/MatrixTransform.FCMacro MatrixTransform.FCMacro] (launcher)
[https://github.com/DeepSOIC/FreeCAD-Macros/raw/master/MatrixTransform/MatrixTransform.py MatrixTransform.py] (executor)
|Author=DeepSOIC
|Version=1.0
|Date=2016-05-25
|FCVersion=All
|Download=[https://www.freecadweb.org/wiki/images/d/db/Macro_MatrixTransform.png ToolBar Icon]
}}
Applies linear transformation to a shape, defined by a 3x3 matrix. It is possible to:
- apply non-linear scaling to a shape
- shear a shape
- rotate a shape
The transformation in the macro is linear. Lines remain straight, planes remain planar, parallel things remain parallel, only angles are distorted.
download these two files and save them in macro directory:
https://github.com/DeepSOIC/FreeCAD-Macros/raw/master/MatrixTransform/MatrixTransform.FCMacro
https://github.com/DeepSOIC/FreeCAD-Macros/raw/master/MatrixTransform/MatrixTransform.py
- Select the shape to be transformed
- In FreeCAD menu: Macro -> Macros... -> double-click MatrixTransform.FCMacro . A new object will be created.
- Select the new object, and edit v1,v2,v3 properties on data tab to set the transformation matrix.
Matrix is defined by three vectors:
v1x v2x v3x
M = ( v1y v2y v3y ) v1z v2z v3z
Here, v1,v2,v3 are vectors that can be defined in properties. They correspond to new directions of what was originally X,Y,Z axes.
1 0 0 0 1 0 0 0 1
scaleX 0 0 0 scaleY 0 0 0 scaleZ
(operation that makes regular text into italic; assuming text is in XY plane)
1 shear 0 0 1 0 0 0 1
'Shear' coefficient defines the amount of shearing. 0 is no shearing. 1 makes the text italic by 45 degrees. -1 shears in backslash-like fashion.
Warning. All geometry is converted to B-splines, even if it doesn't have to. This can cause all sorts of trouble. Use only if absolutely necessary.
ToolBar Icon 
MatrixTransform.py: {{MacroCode|code=
#***************************************************************************
#* *
#* Copyright (c) 2015 - Victor Titov (DeepSOIC) *
#* vv.titov@gmail.com *
#* *
#* This program is free software; you can redistribute it and/or modify *
#* it under the terms of the GNU Lesser General Public License (LGPL) *
#* as published by the Free Software Foundation; either version 2 of *
#* the License, or (at your option) any later version. *
#* for detail see the LICENCE text file. *
#* *
#* This program is distributed in the hope that it will be useful, *
#* but WITHOUT ANY WARRANTY; without even the implied warranty of *
#* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the *
#* GNU Library General Public License for more details. *
#* *
#* You should have received a copy of the GNU Library General Public *
#* License along with this program; if not, write to the Free Software *
#* Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 *
#* USA *
#* *
#***************************************************************************
title="Macro MatrixTransform" author = "DeepSOIC" doc = ''' Macro MatrixTransform. Distorts geometry according to vector transformation defined by the matrix.
Matrix is defined by three vectors:
v1x v2x v3x
M = ( v1y v2y v3y )
v1z v2z v3z
Here, v1,v2,v3 are vectors that can be defined in properties. They correspond
to new directions of what was originally X,Y,Z axes.
exmaple matrices:
No transformation: 1 0 0 0 1 0 0 0 1
non-uniform scaling: scaleX 0 0 0 scaleY 0 0 0 scaleZ
shearing (operation that makes regular text into italic; assuming text is in XY plane): 1 shear 0 0 1 0 0 0 1 ('shear' coefficient defines the amount of shearing. 0 is no shearing. 1 makes the text italic by 45 degrees. -1 shears in backslash-like fashion.)
Warning. All geometry is converted to B-splines, even if it doesn't have to. This can cause all sorts of trouble. Use only if absolutely necessary. '''
import FreeCAD as App if App.GuiUp: import FreeCADGui as Gui import Part
def makeMatrixTransformFeature(): '''makeMatrixTransformFeature(): makes a MatrixTransform parametric feature object. Returns the new object.''' obj = App.ActiveDocument.addObject("Part::FeaturePython","Transform") MatrixTransform(obj) ViewProviderMatrixTransform(obj.ViewObject) return obj
class MatrixTransform: "The FuseCompound object" def init(self,obj): obj.addProperty("App::PropertyLink","Base","MatrixTransform","Input shape") obj.addProperty("App::PropertyVector","v1","MatrixTransform","Vector for new X axis; first column of transform matrix.") obj.addProperty("App::PropertyVector","v2","MatrixTransform","Vector for new Y axis; second column of transform matrix.") obj.addProperty("App::PropertyVector","v3","MatrixTransform","Vector for new Z axis; third column of transform matrix.") obj.v1 = App.Vector(1,0,0) obj.v2 = App.Vector(1,1,0) obj.v3 = App.Vector(0,0,1) obj.Proxy = self
def execute(self,obj):
v1 = obj.v1
v2 = obj.v2
v3 = obj.v3
m = App.Matrix( v1.x, v2.x, v3.x, 0,
v1.y, v2.y, v3.y, 0,
v1.z, v2.z, v3.z, 0,
0, 0, 0, 1 )
obj.Shape = obj.Base.Shape.transformGeometry(m)
class ViewProviderMatrixTransform:def init(self,vobj): vobj.Proxy = self
def getIcon(self):
return ""
def attach(self, vobj):
self.ViewObject = vobj
self.Object = vobj.Object
def setEdit(self,vobj,mode):
return Falsedef unsetEdit(self,vobj,mode):
return
def __getstate__(self):
return None
def __setstate__(self,state):
return None
def claimChildren(self):
return [self.Object.Base]
def onDelete(self, feature, subelements): # subelements is a tuple of strings
try:
self.Object.Base.ViewObject.show()
except Exception as err:
App.Console.PrintError("Error in onDelete: " + err.message)
return True
def run(): sel = Gui.Selection.getSelection() try: if len(sel) != 1: raise Exception("Select a shape to transform, first! Then run this macro.") obj = makeMatrixTransformFeature() obj.Base = sel[0] obj.Proxy.execute(obj) except Exception as err: from PySide import QtGui mb = QtGui.QMessageBox() mb.setIcon(mb.Icon.Warning) mb.setText(err.message) mb.setWindowTitle("Macro MatrixTransform") mb.exec_() }}
Macro MatrixTransform.FCMacro
{{MacroCode|code=
#***************************************************************************
#* *
#* Copyright (c) 2015 - Victor Titov (DeepSOIC) *
#* vv.titov@gmail.com *
#* *
#* This program is free software; you can redistribute it and/or modify *
#* it under the terms of the GNU Lesser General Public License (LGPL) *
#* as published by the Free Software Foundation; either version 2 of *
#* the License, or (at your option) any later version. *
#* for detail see the LICENCE text file. *
#* *
#* This program is distributed in the hope that it will be useful, *
#* but WITHOUT ANY WARRANTY; without even the implied warranty of *
#* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the *
#* GNU Library General Public License for more details. *
#* *
#* You should have received a copy of the GNU Library General Public *
#* License along with this program; if not, write to the Free Software *
#* Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 *
#* USA *
#* *
#***************************************************************************
title="Macro MatrixTransform" author = "DeepSOIC" doc = ''' Macro MatrixTransform. Distorts geometry according to vector transformation defined by the matrix.
Matrix is defined by three vectors:
v1x v2x v3x
M = ( v1y v2y v3y )
v1z v2z v3z
Here, v1,v2,v3 are vectors that can be defined in properties. They correspond
to new directions of what was originally X,Y,Z axes.
exmaple matrices:
No transformation: 1 0 0 0 1 0 0 0 1
non-uniform scaling: scaleX 0 0 0 scaleY 0 0 0 scaleZ
shearing (operation that makes regular text into italic; assuming text is in XY plane): 1 shear 0 0 1 0 0 0 1 ('shear' coefficient defines the amount of shearing. 0 is no shearing. 1 makes the text italic by 45 degrees. -1 shears in backslash-like fashion.)
Instruciotns: Select the object to be sheared, then run the macro. A new object will be created, with shear matrix filled in by default. Edit values of v1, v2, v3 to change the behavior.
Warning. All geometry is converted to B-splines, even if it doesn't have to. This can cause all sorts of trouble. Use only if absolutely necessary. '''
import MatrixTransform MatrixTransform.run()
}}
Run the macro
MatrixTransform.FCMacro:
import MatrixTransform
MatrixTransform.run()documentation index > Macro MatrixTransform