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FreeCAD-Doc/localwiki/Macro_Draft_Circle_3_Points_3D-it.html
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<html><head><title>Macro Draft Circle 3 Points 3D/it</title><meta http-equiv="Content-Type" content="text/html; charset=utf-8"><link type='text/css' href='wiki.css' rel='stylesheet'></head><body><h1>Macro Draft Circle 3 Points 3D/it</h1></div>
<div id="mw-content-text" lang="it" dir="ltr" class="mw-content-ltr"><hr/><div class="mw-parser-output"><table class="fcinfobox wikitable ct" width="100%" style="float: right; width: 230px; margin-left: 10px;">
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<td class="ctTitle">
<h3><span class="mw-headline" id="Cerchio_da_3_punti_3D"><a href="https://www.freecadweb.org/wiki/index.php?title=File:Macro_Draft_Circle_3_Points.png" class="image"><img alt="Macro Draft Circle 3 Points.png" src="32px-Macro_Draft_Circle_3_Points.png" width="32" height="32" srcset="/wiki/images/thumb/1/10/Macro_Draft_Circle_3_Points.png/48px-Macro_Draft_Circle_3_Points.png 1.5x, /wiki/images/1/10/Macro_Draft_Circle_3_Points.png 2x" /></a> Cerchio da 3 punti 3D</span></h3>
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<th class="ctOdd">Descrizione
</th></tr>
<tr>
<td class="ctEven left">Crea un cerchio passante per tre punti selezionati nello spazio.
</td></tr>
<tr>
<th class="ctOdd">Autore
</th></tr>
<tr>
<td class="ctEven"><a href="https://www.freecadweb.org/wiki/index.php?title=User:Galou_breizh&amp;action=edit&amp;redlink=1" class="new" title="User:Galou breizh (page does not exist)">galou_breizh</a>
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<th class="ctOdd">Link
</th></tr>
<tr>
<td class="ctEven"><a href="https://www.freecadweb.org/wiki/index.php?title=Macros_recipes/it" title="Macros recipes/it">Esempi di macro</a><br /><a href="https://www.freecadweb.org/wiki/index.php?title=How_to_install_macros/it" title="How to install macros/it">Come installare le Macro</a><br /><a href="https://www.freecadweb.org/wiki/index.php?title=Customize_Toolbars/it" title="Customize Toolbars/it">Personalizzare la barra degli strumenti</a>
</td></tr>
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<th class="ctOdd">Versione
</th></tr>
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<td class="ctEven macro-version">01.00
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<th class="ctOdd">Data ultima modifica
</th></tr>
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<td class="ctEven macro-date">2013-03-16
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<th class="ctOdd">
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<td class="ctToc"><br /><div id="toc" class="toc"><div class="toctitle"><h2>Contents</h2></div>
<ul>
<li class="toclevel-1"><a href="#Cerchio_da_3_punti_3D"><span class="tocnumber">1</span> <span class="toctext">Cerchio da 3 punti 3D</span></a></li>
<li class="toclevel-1 tocsection-1"><a href="#Utilizzo"><span class="tocnumber">2</span> <span class="toctext">Utilizzo</span></a></li>
<li class="toclevel-1 tocsection-2"><a href="#Limitazioni"><span class="tocnumber">3</span> <span class="toctext">Limitazioni</span></a></li>
<li class="toclevel-1 tocsection-3"><a href="#Script"><span class="tocnumber">4</span> <span class="toctext">Script</span></a></li>
</ul>
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<p><br />
</p><p>Questa macro crea un cerchio passante per tre punti selezionati nello spazio 3D.
</p><p>I punti possono essere oggetti come punti oppure cubi, cilindri ... in questo caso sono utilizzate le coordinate del loro centro.
</p><p><br />
<a href="https://www.freecadweb.org/wiki/index.php?title=File:Macro_Draft_Circle_3_Points_3D.png" class="image"><img alt="Macro Draft Circle 3 Points 3D.png" src="480px-Macro_Draft_Circle_3_Points_3D.png" width="480" height="360" srcset="/wiki/images/1/1a/Macro_Draft_Circle_3_Points_3D.png 1.5x" /></a>
</p>
<div style="clear:both"></div>
<p><br />
</p>
<h3><span class="mw-headline" id="Utilizzo">Utilizzo</span></h3>
<p>Selezionare 3 punti o forme nella vista 3D poi avviare la macro.
</p><p>Se la forma è una linea, le coordinate sono date dal centro della linea.
</p>
<h3><span class="mw-headline" id="Limitazioni">Limitazioni</span></h3>
<p>L'ordine di selezione delle forme influenza l'angolo "<b>AXIS</b>" e inverte l'inclinazione del cerchio. In questo caso, invertire o cambiare l'ordine di selezione delle forme.
</p><p>Le coordinate <b>X,Y,Z</b> di valore <b>0</b> oppure un allineamento non permettono l'esecuzione dei calcoli, possono restituire un errore di divisione per zero che viene mostrato con "<b>The three points are aligned</b>"
</p>
<h3><span class="mw-headline" id="Script">Script</span></h3>
<div class="mw-highlight mw-content-ltr" dir="ltr"><pre># -*- coding: utf-8 -*-
# Create a circle from 3 points selected on the X, Y, Z map
# 04/03/2013
# From http://en.wikipedia.org/wiki/Circumscribed_circle
# 08/08/2014 PyQt4 and PySide
#OS: Windows Vista
#Word size: 32-bit
#Version: 0.14.3700 (Git)
#Branch: releases/FreeCAD-0-14
#Hash: 32f5aae0a64333ec8d5d160dbc46e690510c8fe1
#Python version: 2.6.2
#Qt version: 4.5.2
#Coin version: 3.1.0
#SoQt version: 1.4.1
#OCC version: 6.5.1
try:
import PyQt4
from PyQt4 import QtCore, QtGui
except Exception:
import PySide
from PySide import QtCore, QtGui
from math import pi, asin
import Draft, FreeCAD, FreeCADGui
from FreeCAD import Base
def errorDialog(msg):
# Create a simple dialog QMessageBox
# The first argument indicates the icon used: one of QtGui.QMessageBox.{NoIcon, Information, Warning, Critical, Question}
diag = QtGui.QMessageBox(QtGui.QMessageBox.Critical,u"Error Message",msg)
diag.setWindowModality(QtCore.Qt.ApplicationModal)
diag.exec_()
def affiche(x,y,z,r,angle):
diag = QtGui.QMessageBox(QtGui.QMessageBox.Information,u"Coordinates",u"Coordinate X : "+str(x)+"\r\n"+u"Coordinate Y : "+str(y)+"\n"+u"Coordinate Z : "+str(z)+"\nRadius\t : "+str(r)+"\nAngle\t : "+str(angle))
diag.setWindowModality(QtCore.Qt.ApplicationModal)
diag.setWindowModality(QtCore.Qt.NonModal)
diag.exec_()
# objects selected
sel = FreeCADGui.Selection.getSelection()
# If there are 3 selected points so...
if len(sel)==3 :
# Assignment of variables
P1 = sel[0].Shape.BoundBox.Center
P2 = sel[1].Shape.BoundBox.Center
P3 = sel[2].Shape.BoundBox.Center
P1P2 = (P2 - P1).Length
P2P3 = (P3 - P2).Length
P3P1 = (P1 - P3).Length
# Circle radius.
l = ((P1 - P2).cross(P2 - P3)).Length
try:
#if l &lt; 1e-8:
# errorDialog("The three points are aligned")
r = P1P2 * P2P3 * P3P1 / 2 / l
except:
errorDialog("The three points are aligned")
else:
# Sphere center.
a = P2P3**2 * (P1 - P2).dot(P1 - P3) / 2 / l**2
b = P3P1**2 * (P2 - P1).dot(P2 - P3) / 2 / l**2
c = P1P2**2 * (P3 - P1).dot(P3 - P2) / 2 / l**2
P1.multiply(a)
P2.multiply(b)
P3.multiply(c)
PC = P1 + P2 + P3
# Creation of a circle
pl = Base.Placement()
v = (P1 - P2).cross(P3 - P2)
v.normalize()
axis = Base.Vector(0, 0, 1).cross(v)
angle = asin(axis.Length) * 180 / pi
axis.normalize()
pl = Base.Placement(PC, axis, angle)
Draft.makeCircle(r, placement=pl, face=False, support=None)
# Displays the result in the windows
affiche((PC.x),(PC.y),(PC.z),r,angle)
# Displays the result in the FreeCAD report view
#FreeCAD.Console.PrintMessage("Coordinate X : "+str(PC.x)+"\n")
#FreeCAD.Console.PrintMessage("Coordinate Y : "+str(PC.y)+"\n")
#FreeCAD.Console.PrintMessage("Coordinate Z : "+str(PC.z)+"\n")
#FreeCAD.Console.PrintMessage("Radius : "+str(r)+"\n")
#FreeCAD.Console.PrintMessage("Angle : "+str(angle)+"\n")
else:
# If the condition is not met, repeat
#FreeCAD.Console.PrintError("Select 3 points and repeat\n")
errorDialog("Select 3 points and repeat\n")</pre></div>
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