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FreeCAD-Doc/localwiki/Macro_Draft_Circle_3_Points-it.html
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<html><head><title>Macro Draft Circle 3 Points/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/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;">
<tr>
<td class="ctTitle">
<h3><span class="mw-headline" id="Cerchio_da_3_punti_2D"><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 2D</span></h3>
</td></tr>
<tr>
<th class="ctOdd">Descrizione
</th></tr>
<tr>
<td class="ctEven left">Crea un cerchio da 3 punti selezionati.
</td></tr>
<tr>
<th class="ctOdd">Autore
</th></tr>
<tr>
<td class="ctEven"><a href="https://www.freecadweb.org/wiki/index.php?title=User:Mario52" title="User:Mario52">Mario52</a>
</td></tr>
<tr>
<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>
<tr>
<th class="ctOdd">Versione
</th></tr>
<tr>
<td class="ctEven macro-version">01.00
</td></tr>
<tr>
<th class="ctOdd">Data ultima modifica
</th></tr>
<tr>
<td class="ctEven macro-date">2013-03-11
</td></tr>
<tr>
<th class="ctOdd">
</th></tr>
<tr>
<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_2D"><span class="tocnumber">1</span> <span class="toctext">Cerchio da 3 punti 2D</span></a></li>
<li class="toclevel-1 tocsection-1"><a href="#Descrizione"><span class="tocnumber">2</span> <span class="toctext">Descrizione</span></a>
<ul>
<li class="toclevel-2 tocsection-2"><a href="#Utilizzo"><span class="tocnumber">2.1</span> <span class="toctext">Utilizzo</span></a></li>
</ul>
</li>
<li class="toclevel-1 tocsection-3"><a href="#Opzioni"><span class="tocnumber">3</span> <span class="toctext">Opzioni</span></a></li>
<li class="toclevel-1 tocsection-4"><a href="#Script"><span class="tocnumber">4</span> <span class="toctext">Script</span></a></li>
<li class="toclevel-1 tocsection-5"><a href="#Versione_migliorata"><span class="tocnumber">5</span> <span class="toctext">Versione migliorata</span></a></li>
<li class="toclevel-1 tocsection-6"><a href="#Anaglifo"><span class="tocnumber">6</span> <span class="toctext">Anaglifo</span></a></li>
<li class="toclevel-1 tocsection-7"><a href="#Crediti"><span class="tocnumber">7</span> <span class="toctext">Crediti</span></a></li>
</ul>
</div>
</td></tr>
</table>
<p><br />
</p>
<h2><span class="mw-headline" id="Descrizione">Descrizione</span></h2>
<p>Questa macro crea un cerchio da 3 punti selezionati. I punti possono essere oggetti quali cubi o cilindri, quindi le coordinate selezionate saranno il centro di queste forme.
</p><p><a href="https://www.freecadweb.org/wiki/index.php?title=File:Macro_Draft_Circle_3_Points01.png" class="image" title="Circle built on 3 selected points"><img alt="Circle built on 3 selected points" src="480px-Macro_Draft_Circle_3_Points01.png" width="480" height="324" srcset="/wiki/images/6/6d/Macro_Draft_Circle_3_Points01.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>
<h2><span class="mw-headline" id="Opzioni">Opzioni</span></h2>
<p>Se gli oggetti selezionati sono su piani diversi, (xy <b>Z10</b>, xy <b>Z2</b>, xy <b>Z5</b>) il cerchio sarà costruito sul piano Z=0 (x,y <b>Z=0</b>).<br />
Se tutti gli oggetti selezionati hanno la stessa coordinata Z (xy <b>Z5</b>, xy <b>Z5</b>, xy <b>Z5</b>), cerchio sarà costruito nel piano di Z (x,y <b>Z=5</b>).
</p>
<h2><span class="mw-headline" id="Script">Script</span></h2>
<p>Draft Circle 3 Points.FCMacro
</p>
<div class="macro-code mw-highlight mw-content-ltr" dir="ltr"><pre># -*- coding: utf-8 -*-
# créer un cercle à partir de 3 points sélectionnés sur le plan X,Y
# 04/03/2013
# la formule provient de
# http://www-obs.univ-lyon1.fr/labo/fc/Ateliers_archives/ateliers_2005-06/cercle_3pts.pdf
# lire la note dans le pdf, sur l'ordre de sélection des points,
# si la formule renvoie une erreur (exemple les 3 points dans le même alignement)
#
import Draft, Part, FreeCAD, math, PartGui, FreeCADGui
from math import sqrt, pi, sin, cos
from FreeCAD import Base
# prendre les objets sélectionnés
sel = FreeCADGui.Selection.getSelection()
i=0
centreX=0
centreY=0
rayon=0
# S'il y a 3 points sélectionnés alors..
if len(sel)==3 :
i=0
ta=[0,0,0,0,0,0,0,0,0]
for obj in sel:
x=(obj.Shape.BoundBox.Center)
ta[i+0]=(x.x)
ta[i+1]=(x.y)
ta[i+2]=(x.z)
i=i+3
# Affectation des variables
x_point_1=ta[0]
y_point_1=ta[1]
z_point_1=ta[2]
x_point_2=ta[3]
y_point_2=ta[4]
z_point_2=ta[5]
x_point_3=ta[6]
y_point_3=ta[7]
z_point_3=ta[8]
# Calcul des coordonnées du centre du cercle
centreX =((x_point_3**2-x_point_2**2+y_point_3**2-y_point_2**2)/(2*(y_point_3-y_point_2))-(x_point_2**2-x_point_1**2+y_point_2**2-y_point_1**2)/(2*(y_point_2-y_point_1)))/((x_point_3-x_point_2)/(y_point_3-y_point_2)-(x_point_2-x_point_1)/(y_point_2-y_point_1))
centreY =-(x_point_2-x_point_1)/(y_point_2-y_point_1)*centreX+(x_point_2**2-x_point_1**2+y_point_2**2-y_point_1**2)/(2*(y_point_2-y_point_1))
rayon =sqrt((x_point_1-centreX)**2+(y_point_1-centreY)**2)
# Définition de la coordonnée Z
# Si toutes les coordonnées Z sont égales le centreZ s'aligne à la coordonnée Z
if z_point_1==z_point_2 and z_point_2==z_point_3:
centreZ=z_point_1
else:
# Si une coordonnée est différente alors Z=0
centreZ=0
# Création du cercle
pl=FreeCAD.Placement()
pl.Rotation.Q=(0.0,-0.0,-0.0,1.0)
pl.Base=FreeCAD.Vector(centreX,centreY,centreZ)
Draft.makeCircle((rayon),placement=pl,face=False,support=None)
# Affiche le résultat dans la Vue rapport de FreeCAD
FreeCAD.Console.PrintMessage("Coordonnée X : "+str(centreX)+"\r\n")
FreeCAD.Console.PrintMessage("Coordonnée Y : "+str(centreY)+"\r\n")
FreeCAD.Console.PrintMessage("Coordonnée Z : "+str(centreZ)+"\r\n")
FreeCAD.Console.PrintMessage("Rayon : "+str(rayon )+"\r\n")
else:
# Si la condition n'est pas remplie, recommencer
FreeCAD.Console.PrintError("Sélectionnez 3 points et recommencez\r\n")</pre></div>
<h2><span class="mw-headline" id="Versione_migliorata">Versione migliorata</span></h2>
<p>In aggiunta alle caratteristiche precedenti, questo esempio serve per costruire un cerchio in posizione ortogonale su ciascuna forme selezionate, e sul piano <b>XY, YZ, XZ</b> scelto.<br />
Il cerchio assume il colore dell'asse a cui si riferisce, indipendentemente dal colore corrente, e può essere disegnato il centro del cerchio (opzione O/N).
</p>
<center>
<ul class="gallery mw-gallery-traditional">
<li class="gallerybox" style="width: 235px"><div style="width: 235px">
<div class="thumb" style="width: 230px;"><div style="margin:15px auto;"><a href="https://www.freecadweb.org/wiki/index.php?title=File:Macro_Draft_Circle_3_Points02.png" class="image"><img alt="" src="133px-Macro_Draft_Circle_3_Points02.png" width="133" height="100" srcset="/wiki/images/thumb/e/e8/Macro_Draft_Circle_3_Points02.png/200px-Macro_Draft_Circle_3_Points02.png 1.5x, /wiki/images/thumb/e/e8/Macro_Draft_Circle_3_Points02.png/267px-Macro_Draft_Circle_3_Points02.png 2x" /></a></div></div>
<div class="gallerytext">
<p>Cercle circonscrit sur 3 formes,
</p>
</div>
</div></li>
<li class="gallerybox" style="width: 235px"><div style="width: 235px">
<div class="thumb" style="width: 230px;"><div style="margin:15px auto;"><a href="https://www.freecadweb.org/wiki/index.php?title=File:Macro_Draft_Circle_3_Points03.png" class="image"><img alt="" src="133px-Macro_Draft_Circle_3_Points03.png" width="133" height="100" srcset="/wiki/images/thumb/4/49/Macro_Draft_Circle_3_Points03.png/200px-Macro_Draft_Circle_3_Points03.png 1.5x, /wiki/images/thumb/4/49/Macro_Draft_Circle_3_Points03.png/267px-Macro_Draft_Circle_3_Points03.png 2x" /></a></div></div>
<div class="gallerytext">
<p>de manière orthogonale sur la forme choisie
</p>
</div>
</div></li>
<li class="gallerybox" style="width: 235px"><div style="width: 235px">
<div class="thumb" style="width: 230px;"><div style="margin:15px auto;"><a href="https://www.freecadweb.org/wiki/index.php?title=File:Macro_Draft_Circle_3_Points04.png" class="image"><img alt="Macro Draft Circle 3 Points04.png" src="133px-Macro_Draft_Circle_3_Points04.png" width="133" height="100" srcset="/wiki/images/thumb/e/eb/Macro_Draft_Circle_3_Points04.png/200px-Macro_Draft_Circle_3_Points04.png 1.5x, /wiki/images/thumb/e/eb/Macro_Draft_Circle_3_Points04.png/267px-Macro_Draft_Circle_3_Points04.png 2x" /></a></div></div>
<div class="gallerytext">
</div>
</div></li>
<li class="gallerybox" style="width: 235px"><div style="width: 235px">
<div class="thumb" style="width: 230px;"><div style="margin:15px auto;"><a href="https://www.freecadweb.org/wiki/index.php?title=File:Macro_Draft_Circle_3_Points05.png" class="image"><img alt="Macro Draft Circle 3 Points05.png" src="133px-Macro_Draft_Circle_3_Points05.png" width="133" height="100" srcset="/wiki/images/thumb/7/7e/Macro_Draft_Circle_3_Points05.png/200px-Macro_Draft_Circle_3_Points05.png 1.5x, /wiki/images/thumb/7/7e/Macro_Draft_Circle_3_Points05.png/267px-Macro_Draft_Circle_3_Points05.png 2x" /></a></div></div>
<div class="gallerytext">
</div>
</div></li>
</ul>
</center>
<div style="clear:both"></div>
<p>Le impostazioni da modificare.
</p>
<div class="mw-highlight mw-content-ltr" dir="ltr"><pre># Change the values here below
# mode by default vueChoix = 0 and alignerSur = 0
vueChoix=0# choice of the top view = 1 XY, view Front = 2 ZX, Right view = 3 ZY
alignerSur=0# Aligns the circle shaped the choice (1,2 or 3) or Z = 0
afficherPoint=1# Displays the center point of the circle</pre></div>
<div class="mw-highlight mw-content-ltr" dir="ltr"><pre># -*- coding: utf-8 -*-
# créer un cercle à partir de 3 points séléctionnés
# avec comme options le cercle peut être construit sur un plans au choix
# à la coordonnée d'une des trois formes sélectionnées au choix
# et création du point central O/N
# 04/03/2013
# la formule provient de
# http://www-obs.univ-lyon1.fr/labo/fc/Ateliers_archives/ateliers_2005-06/cercle_3pts.pdf
# lire la note dans le pdf, sur l'ordre de sélection des points,
# si la formule renvoie une erreur (exemple les 3 points dans le même alignement)
#
import Draft, Part, FreeCAD, math, PartGui, FreeCADGui
from math import sqrt, pi, sin, cos
from FreeCAD import Base
from PyQt4 import QtCore, QtGui
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,rayon,r,v,b,afficherPoint):
pl.Base=FreeCAD.Vector(x,y,z)
Draft.makeCircle((rayon),placement=pl,face=False,support=None)
FreeCADGui.activeDocument().activeObject().LineColor = (r,v,b)
if afficherPoint==1:
Draft.makePoint(x,y,z)
diag = QtGui.QMessageBox(QtGui.QMessageBox.Information,u"Coordinates",u"Coordinates X : "+str(x)+"\r\n"+u"Coordinates Y : "+str(y)+"\n"+u"Coordinates Z : "+str(z)+"\nRayon\t : "+str(rayon))
diag.setWindowModality(QtCore.Qt.ApplicationModal)
diag.exec_()
# prendre les objets selectionnes
sel = FreeCADGui.Selection.getSelection()
i=0
centreX=0;centreY=0;rayon=0
# S'il y a 3 points sélectionnés alors..
if len(sel)==3 :
i=0
ta=[0,0,0,0,0,0,0,0,0]
for obj in sel:
x=(obj.Shape.BoundBox.Center)
ta[i+0]=(x.x)
ta[i+1]=(x.y)
ta[i+2]=(x.z)
i=i+3
# Change the values here below
# mode by default vueChoix = 0 and alignerSur = 0
vueChoix=0# choice of the top view = 1 XY, view Front = 2 ZX, Right view = 3 ZY
alignerSur=0# Aligns the circle shaped the choice (1,2 or 3) or Z = 0
afficherPoint=1# Displays the center point of the circle
# Affectation des variables
if vueChoix==3:# View of right ZY (Red)
z_point_1=ta[0]
x_point_1=ta[1]
y_point_1=ta[2]
z_point_2=ta[3]
x_point_2=ta[4]
y_point_2=ta[5]
z_point_3=ta[6]
x_point_3=ta[7]
y_point_3=ta[8]
elif vueChoix==2:# Front view ZX (Green)
y_point_1=ta[0]
z_point_1=ta[1]
x_point_1=ta[2]
y_point_2=ta[3]
z_point_2=ta[4]
x_point_2=ta[5]
y_point_3=ta[6]
z_point_3=ta[7]
x_point_3=ta[8]
else:# Top view XY (blue)
x_point_1=ta[0]
y_point_1=ta[1]
z_point_1=ta[2]
x_point_2=ta[3]
y_point_2=ta[4]
z_point_2=ta[5]
x_point_3=ta[6]
y_point_3=ta[7]
z_point_3=ta[8]
# Calculation of coordinates of the center of the circle
try:
centreX =((x_point_3**2-x_point_2**2+y_point_3**2-y_point_2**2)/(2*(y_point_3-y_point_2))-(x_point_2**2-x_point_1**2+y_point_2**2-y_point_1**2)/(2*(y_point_2-y_point_1)))/((x_point_3-x_point_2)/(y_point_3-y_point_2)-(x_point_2-x_point_1)/(y_point_2-y_point_1))
centreY =-(x_point_2-x_point_1)/(y_point_2-y_point_1)*centreX+(x_point_2**2-x_point_1**2+y_point_2**2-y_point_1**2)/(2*(y_point_2-y_point_1))
rayon =sqrt((x_point_1-centreX)**2+(y_point_1-centreY)**2)
except:
errorDialog(u"Impossible calculation too aligned elements")
else:
#finally: sera TOUJOURS exécuté
# Definition of the coordinate Z
centreZ=0
# Création du cercle
pl=FreeCAD.Placement()
if vueChoix==1:# Plan XY Dessus
pl.Rotation.Q=(0,0,0,1.0)
if alignerSur==1:
affiche(centreX,centreY,z_point_1,rayon,0.0,0.0,1.0,afficherPoint)
elif alignerSur==2:
affiche(centreX,centreY,z_point_2,rayon,0.0,0.0,1.0,afficherPoint)
elif alignerSur==3:
affiche(centreX,centreY,z_point_3,rayon,0.0,0.0,1.0,afficherPoint)
elif vueChoix==2: # Plan XZ Face
pl.Rotation.Q=(1,0,0,1.0)
if alignerSur==1:
affiche(centreY,z_point_1,centreX,rayon,0.0,1.0,0.0,afficherPoint)
elif alignerSur==2:
affiche(centreY,z_point_2,centreX,rayon,0.0,1.0,0.0,afficherPoint)
elif alignerSur==3:
affiche(centreY,z_point_3,centreX,rayon,0.0,1.0,0.0,afficherPoint)
elif vueChoix==3: # Plan YZ Droite
pl.Rotation.Q=(0,1,0,1.0)
if alignerSur==1:
affiche(z_point_1,centreX,centreY,rayon,1.0,0.0,0.0,afficherPoint)
elif alignerSur==2:
affiche(z_point_2,centreX,centreY,rayon,1.0,0.0,0.0,afficherPoint)
elif alignerSur==3:
affiche(z_point_3,centreX,centreY,rayon,1.0,0.0,0.0,afficherPoint)
else:# modifier pour avoir XYZ
# si les coordonnées Z sont égales alors le cercle s'aligne à Z
if z_point_1==z_point_2 and z_point_2==z_point_3:
centreZ=z_point_1
affiche(centreX,centreY,z_point_1,rayon,0.0,0.0,0.0,afficherPoint)
else:
# Si une coordonnée est différente alors Z=0
affiche(centreX,centreY,0,rayon,0.0,0.0,0.0,afficherPoint)
else:
# Si la condition n'est pas remplie, recommencer
errorDialog(u"Select 3 points and repeat")
#FreeCAD.Console.PrintError("Select 3 points and repeatr\n")</pre></div>
<h2><span class="mw-headline" id="Anaglifo">Anaglifo</span></h2>
<p>Utilizzando occhiali con filtri rosso e ciano, in questo anaglifo è possibile vedere due diverse posizioni <a href="https://www.freecadweb.org/wiki/index.php?title=File:Anaglyph_Tango.png" class="image"><img alt="Anaglyph Tango.png" src="24px-Anaglyph_Tango.png" width="24" height="24" srcset="/wiki/images/thumb/d/dd/Anaglyph_Tango.png/36px-Anaglyph_Tango.png 1.5x, /wiki/images/d/dd/Anaglyph_Tango.png 2x" /></a>.<br />
Guarda alternativamente con l'occhio sinistro e l'occhio destro per vedere le viste separatamente.
</p>
<center>
<p><a href="https://www.freecadweb.org/wiki/index.php?title=File:Cercle3Points2D_anaglyphe.png" class="image" title="Anaglyphe"><img alt="Anaglyphe" src="480px-Cercle3Points2D_anaglyphe.png" width="480" height="360" srcset="/wiki/images/d/d1/Cercle3Points2D_anaglyphe.png 1.5x" /></a>
</p>
</center>
<div style="clear:both"></div>
<p><br />
</p>
<h2><span class="mw-headline" id="Crediti">Crediti</span></h2>
<p>La genesi della macro <b>Draft Circle 3 Points</b> si trova nel forum <a rel="nofollow" class="external text" href="http://forum.freecadweb.org/viewtopic.php?f=12&amp;t=3696&amp;sid=17886f953113e162dc9a4a843e1fce94">(PYTHON) coordonnées d'un point</a> a cui ha contribuito flachyjoe che ringrazio.<br />
La formula è presa da <a rel="nofollow" class="external text" href="http://www-obs.univ-lyon1.fr/labo/fc/Ateliers_archives/ateliers_2005-06/cercle_3pts.pdf">cercle_3pts.pdf</a> ed utilizzata con il gentile permesso del suo autore.
</p>
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