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Descrizione

Applica una trasformazione lineare a una forma, definita da una matrice 3x3. È possibile:

• applicare una scalatura non lineare a una forma
• deformare una forma
• ruotare una forma

La trasformazione nella macro è lineare. Le linee rimangono dritte, i piani rimangono planari, le cose parallele rimangono parallele, solo gli angoli sono distorti.

# This code is copied instead of the original macro code
# to guide the user to the online download page.
# Use it if the code of the macro is larger than 64 KB and cannot be included in the wiki
# or if the RAW code URL is somewhere else in the wiki.

from PySide import QtGui, QtCore

diag = QtGui.QMessageBox(QtGui.QMessageBox.Information,
    "Information",
    "This macro must be downloaded from this link\n"
    "\n"
    "https://raw.githubusercontent.com/DeepSOIC/FreeCAD-Macros/master/MatrixTransform/MatrixTransform.FCMacro" + "\n"
    "\n"
    "Quit this window to access the download page")

diag.setWindowFlags(QtCore.Qt.WindowStaysOnTopHint)
diag.setWindowModality(QtCore.Qt.ApplicationModal)
diag.exec_()

import webbrowser 
webbrowser.open("https://raw.githubusercontent.com/DeepSOIC/FreeCAD-Macros/master/MatrixTransform/MatrixTransform.FCMacro")

Installazione

Scaricare questi due file e salvarli nella cartella delle macro:

https://github.com/DeepSOIC/FreeCAD-Macros/raw/master/MatrixTransform/MatrixTransform.FCMacro

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

Utilizzo

1. Selezionare la forma da trasformare
2. Nel menu di FreeCAD: Macro -> Macros... -> fare doppio click su MatrixTransform.FCMacro . Viene creato un nuovo oggetto.
3. Selezionare il nuovo oggetto, ed editare le proprietà v1,v2,v3 nella scheda dati per impostare la matrice di trasformazione.

La matrice è definita da tre vettori:

          v1x   v2x   v3x
   M = (  v1y   v2y   v3y )
          v1z   v2z   v3z

Qui, v1, v2, v3 sono vettori, che possono essere definiti nelle proprietà. Corrispondono alle nuove direzioni di quelli che originariamente erano gli assi X, Y, Z.

Esempi di matrici

Nessuna trasformazione

   1  0  0
   0  1  0
   0  0  1

Ridimensionamento non uniforme

   scaleX    0      0
      0   scaleY    0
      0      0   scaleZ

Deformazione

Operazione che trasforma il testo normale in corsivo; presupponendo che il testo si trovi sul piano XY.

   1  shear  0
   0    1    0
   0    0    1

Il coefficiente di 'Shear' definisce l'entità della deformazione. 0 non determina alcuna deformazione. 1 rende il testo in corsivo di 45 gradi. -1 esegue il taglio in modo simile a una barra rovesciata.

Attenzione: tutta la geometria viene convertita in B-spline, anche quando non è necessario. Questo può causare diversi problemi. Da utilizzare solo se assolutamente necessario.

Lo Script

Icona barra degli strumenti

MatrixTransform.py:

#***************************************************************************
#*                                                                         *
#*   Copyright (c) 2015 2024 - 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.

example 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 False
    
    def 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: " + str(err)) #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(str(err)) #err.message
        mb.setWindowTitle("Macro MatrixTransform")
        mb.exec_()
        App.Console.PrintError("Error in onDelete: " + str(err)) #err.message

##import MatrixTransform
##MatrixTransform.run()

Macro MatrixTransform.FCMacro

#***************************************************************************
#*                                                                         *
#*   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()