Macro Make Circle 3 Points

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Revision as of 11:54, 7 May 2014 by Mario52 (talk | contribs) (Created page with "===Alignement sur :=== '''Forme 1, 2, 3''' :Les formes, dans l’ordre de leurs sélections.")

File:Macro Draft Circle 3 Points Macro Make Circle 3 Points

Description
Crée un cercle à partir de 3 points ou trois objets sélectionnés.

Auteur: Mario52
Auteur
Mario52
Téléchargement
None
Liens
Version Macro
1.0
Dernière modification
None
Version(s) FreeCAD
None
Raccourci clavier
None
Voir aussi
None

Description

Cette macro crée un cercle circonscrit sur 3 points sélectionnés, de manière orthogonale ou dans l'espace 3D au choix. Les points peuvent être des objets comme des cubes, cylindres, . . . les coordonnées alors retenues seront le centre de ces formes (BoundBox.Center).


Cercle construit sur 3 points sélectionnés

Utilisation

Sélectionnez 3 points, ou formes dans la vue 3D et exécutez la macro.
Si la forme est une ligne, la coordonnée sera le centre de la ligne.

Circle_on_3_points

Options

Mode :

Défaut :

Le mode par défaut, crée un cercle sur les trois points ou formes dans l'espace 3d.
L'ordre de sélection des formes peur influencer l'angle "AXIS" et inverser l'inclinaison du cercle. Dans ce cas, inverser ou changer l'ordre de sélection des formes.
Les coordonnées X,Y,Z de valeur 0 ou un alignement ne permettant pas le calcul, peut renvoyer un erreur de division par zéro, et traduit par "The three points are aligned"

Vue Face :

Crée le cercle dans la vue de face sur la forme choisie, 1 ,2 ou 3

Vue Dessus :

Crée le cercle dans la vue de dessus sur la forme choisie, 1 ,2 ou 3

Vue Droite :

Crée le cercle dans la vue de droite sur la forme choisie, 1 ,2 ou 3

Alignement sur :

Forme 1, 2, 3

Les formes, dans l’ordre de leurs sélections.

Afficher le centre :

If this box is checked, a point on the centre of the built circle will be created

Associer les couleurs

If this box is checked, the circle will take the colour of the relevant view,
View-Top (X,Y) = Blue(axe Z)
View-Front (Z,X) = Green(Axe Y)
View-Left (Z,Y) = Red(Axe X)



Script

The file should be copied to " C:/Program Files/FreeCAD0.13/ " If you want to put it in another directory, modify the path to line 53

         path = FreeCAD.ConfigGet("AppHomePath") # chemin

The three icons must be in the same directory as the module.
To download them, resting your mouse over the icon and then right-click and save image as...

The file Make_Circle_3_Points/fr.FCMacro:


# -*- coding: utf-8 -*-
# Cercle sur 3 points.py
# create a circle from 3 points selected
# combination of the two programs 'create a circle from 3 points selected'
# with as options (orthogonal) circle can be built on a choice plans
# to coordinate one of the three selected choice shapes
# mode by default, creates the circle in 3D space
# the options create the circle of orthogonal way on the map and view the choice
# with the creation of a central color related to the axes Y/N Y/N
# 04/03/2013 # 24/03/2013 # by mario52
# the formula adapted (with permission of its author) by "mario52" for orthogonal circles comes from
# http://www-obs.univ-lyon1.fr/labo/fc/Ateliers_archives/ateliers_2005-06/cercle_3pts.pdf
# read the note in pdf, on the order of selection points,
# If the formula returns an error (example the 3 points in the same alignment)
# the formula adapted by "galou_breizh" for the cecle in 3D space comes from
# http://en.wikipedia.org/wiki/Circumscribed_circle
# the window is always visible and allows you to work on other programs
# as for example to select other items in FreeCAD

import Draft, Part, FreeCAD, math, PartGui, FreeCADGui, PyQt4
from math import sqrt, pi, sin, cos, asin
from FreeCAD import Base
from PyQt4 import QtCore, QtGui

                    # vueChoix = 0 et alignerSur = 0 , mode par défaut
global vueChoix		# choix de la vue Dessus=1 XY, vue Face=2 ZX, vue Droite=3 ZY (Orthogonal)
global alignerSur   # aligne le cercle sur une forme au choix (1,2 ou 3) ou sur Z=0 (Orthogonal)
global afficherPoint# affiche le point central du cercle
global colorer     	# colorer suivant l'axe 1=Ok 0=Couleur courante uniquement Orthogonal !
vueChoix = 0
alignerSur = 0
afficherPoint = 1
colorer = 1

try:
    _fromUtf8 = QtCore.QString.fromUtf8
except AttributeError:
    def _fromUtf8(s):
        return s

try:
    _encoding = QtGui.QApplication.UnicodeUTF8
    def _translate(context, text, disambig):
        return QtGui.QApplication.translate(context, text, disambig, _encoding)
except AttributeError:
    def _translate(context, text, disambig):
        return QtGui.QApplication.translate(context, text, disambig)

class Ui_MainWindow(object):

    def __init__(self, MainWindow):
        self.window = MainWindow
        path = FreeCAD.ConfigGet("AppHomePath") # chemin 

        MainWindow.setObjectName(_fromUtf8("MainWindow"))
        MainWindow.resize(490, 302)
        MainWindow.setWindowIcon(QtGui.QIcon(path+'View-C3P.png'))
        self.centralWidget = QtGui.QWidget(MainWindow)
        self.centralWidget.setObjectName(_fromUtf8("centralWidget"))

        self.groupBox = QtGui.QGroupBox(self.centralWidget)
        self.groupBox.setGeometry(QtCore.QRect(20, 10, 130, 161))
        self.groupBox.setObjectName(_fromUtf8("groupBox_1"))

        self.radioButton_1 = QtGui.QRadioButton(self.groupBox)
        self.radioButton_1.setGeometry(QtCore.QRect(10, 30, 130, 20))
        self.radioButton_1.setChecked(True)
        self.radioButton_1.setObjectName(_fromUtf8("radioButton_1"))
        self.radioButton_1.clicked.connect(self.on_radioButton_1_clicked) #connection radioButton_1
        self.radioButton_1.setToolTip(_translate("MainWindow", "Cercle sur 3 points dans l'espace", None))

        self.radioButton_2 = QtGui.QRadioButton(self.groupBox)
        self.radioButton_2.setGeometry(QtCore.QRect(10, 60, 130, 20))
        self.radioButton_2.setObjectName(_fromUtf8("radioButton_2"))
        self.radioButton_2.clicked.connect(self.on_radioButton_2_clicked) #connection radioButton_2
        self.radioButton_2.setToolTip(_translate("MainWindow", "Cercle orthogonal sur la vue de face", None))
        #self.image_01 = "C:\Program Files\FreeCAD0.13\View-Front.png"
        self.image_01 = path+"View-Front.png"
        icon01 = QtGui.QIcon() 
        icon01.addPixmap(QtGui.QPixmap(self.image_01),QtGui.QIcon.Normal, QtGui.QIcon.Off)
        self.radioButton_2.setIcon(icon01) 

        self.radioButton_3 = QtGui.QRadioButton(self.groupBox)
        self.radioButton_3.setGeometry(QtCore.QRect(10, 90, 130, 20))
        self.radioButton_3.setObjectName(_fromUtf8("radioButton_3"))
        self.radioButton_3.clicked.connect(self.on_radioButton_3_clicked) #connection radioButton_3
        self.radioButton_3.setToolTip(_translate("MainWindow", "Cercle orthogonal sur la vue de dessus", None))
        #self.image_02 = "C:\Program Files\FreeCAD0.13\View-Top.png"
        self.image_02 = path+"View-Top.png"
        icon02 = QtGui.QIcon() 
        icon02.addPixmap(QtGui.QPixmap(self.image_02),QtGui.QIcon.Normal, QtGui.QIcon.Off)
        self.radioButton_3.setIcon(icon02) 

        self.radioButton_4 = QtGui.QRadioButton(self.groupBox)
        self.radioButton_4.setGeometry(QtCore.QRect(10, 120, 130, 20))
        self.radioButton_4.setObjectName(_fromUtf8("radioButton_4"))
        self.radioButton_4.clicked.connect(self.on_radioButton_4_clicked) #connection radioButton_4
        self.radioButton_4.setToolTip(_translate("MainWindow", "Cercle orthogonal sur la vue de droite", None))
        #self.image_03 = "C:\Program Files\FreeCAD0.13\View-Left.png"
        self.image_03 = path+"View-Left.png"
        icon03 = QtGui.QIcon() 
        icon03.addPixmap(QtGui.QPixmap(self.image_03),QtGui.QIcon.Normal, QtGui.QIcon.Off)
        self.radioButton_4.setIcon(icon03) 

        self.groupBox_2 = QtGui.QGroupBox(self.centralWidget)
        self.groupBox_2.setGeometry(QtCore.QRect(170, 10, 120, 161))
        self.groupBox_2.setObjectName(_fromUtf8("groupBox_2"))

        self.radioButton_5 = QtGui.QRadioButton(self.groupBox_2)
        self.radioButton_5.setGeometry(QtCore.QRect(10, 30, 95, 20))
        self.radioButton_5.setChecked(True)
        self.radioButton_5.setObjectName(_fromUtf8("radioButton_5"))
        self.radioButton_5.clicked.connect(self.on_radioButton_5_clicked) #connection radioButton_5
        self.radioButton_5.setToolTip(_translate("MainWindow", "Cercle sur 3 points dans l'espace", None))

        self.radioButton_6 = QtGui.QRadioButton(self.groupBox_2)
        self.radioButton_6.setGeometry(QtCore.QRect(10, 60, 95, 20))
        self.radioButton_6.setObjectName(_fromUtf8("radioButton_6"))
        self.radioButton_6.clicked.connect(self.on_radioButton_6_clicked) #connection radioButton_6
        self.radioButton_6.setToolTip(_translate("MainWindow", "Cercle orthogonal sur la forme 1", None))

        self.radioButton_7 = QtGui.QRadioButton(self.groupBox_2)
        self.radioButton_7.setGeometry(QtCore.QRect(10, 90, 95, 20))
        self.radioButton_7.setObjectName(_fromUtf8("radioButton_7"))
        self.radioButton_7.clicked.connect(self.on_radioButton_7_clicked) #connection radioButton_7
        self.radioButton_7.setToolTip(_translate("MainWindow", "Cercle orthogonal sur la forme 2", None))

        self.radioButton_8 = QtGui.QRadioButton(self.groupBox_2)
        self.radioButton_8.setGeometry(QtCore.QRect(10, 120, 95, 20))
        self.radioButton_8.setObjectName(_fromUtf8("radioButton_8"))
        self.radioButton_8.clicked.connect(self.on_radioButton_8_clicked) #connection radioButton_8
        self.radioButton_8.setToolTip(_translate("MainWindow", "Cercle orthogonal sur la forme 3", None))

        self.checkBox_1 = QtGui.QCheckBox(self.centralWidget)
        self.checkBox_1.setGeometry(QtCore.QRect(20, 190, 140, 20))
        self.checkBox_1.setChecked(True)
        self.checkBox_1.setObjectName(_fromUtf8("checkBox_1"))
        self.checkBox_1.setToolTip(_translate("MainWindow", "Affiche un point sur le centre du cercle", None))
#        self.checkBox_1.clicked.connect(self.on_checkBox_1_clicked) #connection checkBox_1

        self.checkBox_2 = QtGui.QCheckBox(self.centralWidget)
        self.checkBox_2.setGeometry(QtCore.QRect(170, 190, 150, 20))
        self.checkBox_2.setChecked(True)
        self.checkBox_2.setObjectName(_fromUtf8("checkBox_2"))
        self.checkBox_2.setToolTip(_translate("MainWindow", "Associe la couleur du cercle à la couleur des axes X,Y,Z (Orthogonal)", None))
#        self.checkBox_2.clicked.connect(self.on_checkBox_2_clicked) #connection checkBox_1

        self.lineEdit_1 = QtGui.QLineEdit(self.centralWidget)
        self.lineEdit_1.setGeometry(QtCore.QRect(320, 30, 151, 22))
        self.lineEdit_1.setObjectName(_fromUtf8("lineEdit_1"))
        self.lineEdit_1.setReadOnly(True)

        self.lineEdit_2 = QtGui.QLineEdit(self.centralWidget)
        self.lineEdit_2.setGeometry(QtCore.QRect(320, 80, 151, 22))
        self.lineEdit_2.setObjectName(_fromUtf8("lineEdit_2"))
        self.lineEdit_2.setReadOnly(True)

        self.lineEdit_3 = QtGui.QLineEdit(self.centralWidget)
        self.lineEdit_3.setGeometry(QtCore.QRect(320, 130, 151, 22))
        self.lineEdit_3.setObjectName(_fromUtf8("lineEdit_3"))
        self.lineEdit_3.setReadOnly(True)

        self.lineEdit_4 = QtGui.QLineEdit(self.centralWidget)
        self.lineEdit_4.setGeometry(QtCore.QRect(320, 180, 151, 22))
        self.lineEdit_4.setObjectName(_fromUtf8("lineEdit_4"))
        self.lineEdit_4.setReadOnly(True)

        self.lineEdit_5 = QtGui.QLineEdit(self.centralWidget)
        self.lineEdit_5.setGeometry(QtCore.QRect(320, 230, 151, 22))
        self.lineEdit_5.setObjectName(_fromUtf8("lineEdit_5"))
        self.lineEdit_5.setReadOnly(True)

        self.label_1 = QtGui.QLabel(self.centralWidget)
        self.label_1.setGeometry(QtCore.QRect(320, 10, 91, 16))
        self.label_1.setObjectName(_fromUtf8("label_1"))

        self.label_2 = QtGui.QLabel(self.centralWidget)
        self.label_2.setGeometry(QtCore.QRect(320, 60, 91, 16))
        self.label_2.setObjectName(_fromUtf8("label_2"))

        self.label_3 = QtGui.QLabel(self.centralWidget)
        self.label_3.setGeometry(QtCore.QRect(320, 110, 91, 16))
        self.label_3.setObjectName(_fromUtf8("label_3"))

        self.label_4 = QtGui.QLabel(self.centralWidget)
        self.label_4.setGeometry(QtCore.QRect(320, 160, 53, 16))
        self.label_4.setObjectName(_fromUtf8("label_4"))

        self.label_5 = QtGui.QLabel(self.centralWidget)
        self.label_5.setGeometry(QtCore.QRect(320, 210, 81, 16))
        self.label_5.setObjectName(_fromUtf8("label_5"))

        self.pushButton_1 = QtGui.QPushButton(self.centralWidget)
        self.pushButton_1.setGeometry(QtCore.QRect(20, 230, 90, 28))
        self.pushButton_1.setObjectName(_fromUtf8("pushButton_1"))
        self.pushButton_1.clicked.connect(self.on_pushButton_1_clicked) #connection pushButton_1
        self.pushButton_1.setToolTip(_translate("MainWindow", "Quitte la fonction", None))

        self.pushButton_2 = QtGui.QPushButton(self.centralWidget)
        self.pushButton_2.setGeometry(QtCore.QRect(110, 230, 90, 28))
        self.pushButton_2.setObjectName(_fromUtf8("pushButton_2"))
        self.pushButton_2.clicked.connect(self.on_pushButton_2_clicked) #connection pushButton_2
        self.pushButton_2.setToolTip(_translate("MainWindow", "Applique la fonction sans quitter", None))
        #self.pushButton_2.setStyleSheet("background-color: red") #cette fonction donne une couleur au bouton
        #self.pushButton_2.setStyleSheet("color : #ff0000") #cette fonction donne une couleur au texte du bouton
        #self.pushButton_2.setStyleSheet("color : #ff0000; background-color : #0000ff;" ) #combinaison des deux

        self.pushButton_3 = QtGui.QPushButton(self.centralWidget)
        self.pushButton_3.setGeometry(QtCore.QRect(200, 230, 90, 28))
        self.pushButton_3.setObjectName(_fromUtf8("pushButton_3"))
        self.pushButton_3.clicked.connect(self.on_pushButton_3_clicked) #connection pushButton_3
        self.pushButton_3.setToolTip(_translate("MainWindow", "Définit le mode par défaut (Cercle sur 3 points dans l'espace)", None))

        MainWindow.setCentralWidget(self.centralWidget)
        self.statusBar = QtGui.QStatusBar(MainWindow)
        self.statusBar.setObjectName(_fromUtf8("statusBar"))
        MainWindow.setStatusBar(self.statusBar)

        self.retranslateUi(MainWindow)
        QtCore.QMetaObject.connectSlotsByName(MainWindow)
        
    def retranslateUi(self, MainWindow):
        MainWindow.setWindowFlags(PyQt4.QtCore.Qt.WindowStaysOnTopHint) # cette fonction met la fenêtre en avant
        #MainWindow.setStyleSheet("background-color: red") #cette fonction donne une couleur à la fenêtre
        #MainWindow.setWindowOpacity(0.5)    #cette fonction donne une transparence à la fenêtre
        MainWindow.setWindowTitle(_translate("MainWindow", "Cercle sur 3 points", None))
        self.groupBox.setTitle(_translate("MainWindow", "Mode", None))
        self.radioButton_1.setText(_translate("MainWindow", "Défaut", None))
        self.radioButton_2.setText(_translate("MainWindow", "Vue  Face", None))
        self.radioButton_3.setText(_translate("MainWindow", "Vue Dessus", None))
        self.radioButton_4.setText(_translate("MainWindow", "Vue Droite", None))
        self.groupBox_2.setTitle(_translate("MainWindow", "Alignement sur", None))
        self.radioButton_5.setText(_translate("MainWindow", "Défaut", None))
        self.radioButton_6.setText(_translate("MainWindow", "Forme 1", None))
        self.radioButton_7.setText(_translate("MainWindow", "Forme 2", None))
        self.radioButton_8.setText(_translate("MainWindow", "Forme 3", None))
        self.checkBox_1.setText(_translate("MainWindow", "Afficher le centre", None))
        self.checkBox_2.setText(_translate("MainWindow", "Associer les couleurs", None))
        self.label_1.setText(_translate("MainWindow", "Coordonnée X", None))
        self.label_2.setText(_translate("MainWindow", "Coordonnée Y", None))
        self.label_3.setText(_translate("MainWindow", "Coordonnée Z", None))
        self.label_4.setText(_translate("MainWindow", "Rayon", None))
        self.label_5.setText(_translate("MainWindow", "Angle", None))
        self.pushButton_1.setText(_translate("MainWindow", "Quitter", None))
        self.pushButton_2.setText(_translate("MainWindow", "Appliquer", None))
        self.pushButton_3.setText(_translate("MainWindow", "Défaut", None))
    # première série de radioboutons
    def on_radioButton_1_clicked(self):
        if self.radioButton_1.isChecked():
            self.radioButton_5.setChecked(True)
    def on_radioButton_2_clicked(self):
        if self.radioButton_5.isChecked():
            self.radioButton_6.setChecked(True)
    def on_radioButton_3_clicked(self):
        if self.radioButton_5.isChecked():
            self.radioButton_6.setChecked(True)
    def on_radioButton_4_clicked(self):
        if self.radioButton_5.isChecked():
            self.radioButton_6.setChecked(True)
    # deuxième série de radioboutons
    def on_radioButton_5_clicked(self):
        if self.radioButton_5.isChecked():
            self.radioButton_1.setChecked(True)
    def on_radioButton_6_clicked(self):
        if self.radioButton_1.isChecked():
            self.radioButton_2.setChecked(True)
    def on_radioButton_7_clicked(self):
        if self.radioButton_1.isChecked():
            self.radioButton_2.setChecked(True)
    def on_radioButton_8_clicked(self):
        if self.radioButton_1.isChecked():
            self.radioButton_2.setChecked(True)
    # Boutons
    def on_pushButton_1_clicked(self):    # Bouton Quitte la fonction
        App.Console.PrintMessage("Terminé\r\n")
        self.window.hide()

    def on_pushButton_2_clicked(self):    # Bouton Appliquer
        if self.radioButton_1.isChecked():
            vueChoix=0
        if self.radioButton_2.isChecked():
            vueChoix=1
        if self.radioButton_3.isChecked():
            vueChoix=2
        if self.radioButton_4.isChecked():
            vueChoix=3

        if self.radioButton_5.isChecked():
            alignerSur=0
        if self.radioButton_6.isChecked():
            alignerSur=1
        if self.radioButton_7.isChecked():
            alignerSur=2
        if self.radioButton_8.isChecked():
            alignerSur=3

        if self.checkBox_1.checkState()==0:
            afficherPoint=0
        else:
            afficherPoint=1
        if self.checkBox_2.checkState()==0:
            colorer=0
        else:
            colorer=1

        # App.Console.PrintMessage("Appliquer\r\n")
        # App.Console.PrintMessage(str(vueChoix)+" \t")
        # App.Console.PrintMessage(str(alignerSur)+" \t")
        # App.Console.PrintMessage(str(afficherPoint)+" \t")
        # App.Console.PrintMessage(str(colorer)+" \r\n")

        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.setWindowFlags(PyQt4.QtCore.Qt.WindowStaysOnTopHint) # cette fonction met la fenêtre en avant
            #diag.setWindowModality(QtCore.Qt.ApplicationModal) # la fonction a été désactivée pour favoriser "WindowStaysOnTopHint"
            diag.exec_()

        def affiche(x,y,z,rayon,r,v,b,afficherPoint,angle):
            pl.Base=FreeCAD.Vector(x,y,z)
            Draft.makeCircle((rayon),placement=pl,face=False,support=None)
            if colorer==1:    
                FreeCADGui.activeDocument().activeObject().LineColor = (r,v,b)
            if afficherPoint==1:
                Draft.makePoint(x,y,z)
                if colorer==1:
                    FreeCADGui.activeDocument().activeObject().PointColor = (r,v,b)
            str(self.lineEdit_1.setText(str(x)))
            str(self.lineEdit_2.setText(str(y)))
            str(self.lineEdit_3.setText(str(z)))
            str(self.lineEdit_4.setText(str(rayon)))
            str(self.lineEdit_5.setText(str(angle)))

        # 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

            if vueChoix==3:        # Vue de droite ZY (Rouge)
                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:    # Vue de face ZX (Vert)
                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:                # Vue de dessus XY (Bleu)
                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    
            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"Calcul impossible trop d'élements alignés")
            else:
            #finally: # si finally est présent, il sera TOUJOURS exécuté
               # Définition de la coordonnée 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,0)
                    elif alignerSur==2:
                        affiche(centreX,centreY,z_point_2,rayon,0.0,0.0,1.0,afficherPoint,0)
                    elif alignerSur==3:
                        affiche(centreX,centreY,z_point_3,rayon,0.0,0.0,1.0,afficherPoint,0)
                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,0)
                    elif alignerSur==2:
                        affiche(centreY,z_point_2,centreX,rayon,0.0,1.0,0.0,afficherPoint,0)
                    elif alignerSur==3:
                        affiche(centreY,z_point_3,centreX,rayon,0.0,1.0,0.0,afficherPoint,0)
                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,0)
                    elif alignerSur==2:
                        affiche(z_point_2,centreX,centreY,rayon,1.0,0.0,0.0,afficherPoint,0)
                    elif alignerSur==3:
                        affiche(z_point_3,centreX,centreY,rayon,1.0,0.0,0.0,afficherPoint,0)
                else:    # 3D XYZ
                    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 < 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)
                        affiche((PC.x),(PC.y),(PC.z),r,0.0,0.0,0.0,afficherPoint,angle)

        else:
            # Si la condition n'est pas remplie, recommencer
            errorDialog(u"Sélectionnez 3 points et recommencez")
            #FreeCAD.Console.PrintError("Sélectionnez 3 points et recommencez\r\n")
#________________________________________________________________________________
    def on_pushButton_3_clicked(self):    # Valeurs d'origine
        App.Console.PrintMessage("Défaut\r\n")
        vueChoix=0		# choix de la vue Dessus=1 XY, vue Face=2 ZX, vue Droite=3 ZY
        self.radioButton_1.setChecked(True)
        alignerSur=0	# aligne le cercle sur une forme au choix (1,2 ou 3) ou sur Z=0
        self.radioButton_5.setChecked(True)
        afficherPoint=1	# affiche le point central du cercle
        self.checkBox_1.setChecked(True)
        colorer=1		# colorer suivant l'axe 1=Ok 0=Couleur courante uniquement Orthogonal !
        self.checkBox_2.setChecked(True)

#______________________________________________________________________________________

MainWindow = QtGui.QMainWindow()
ui = Ui_MainWindow(MainWindow)
MainWindow.show()


Anaglyphe

Here an Anaglyph view that allows you to see two different positions of the view by using glasses with filters red and Cyan .
Watch alternately with the left eye and the right eye to see the views separately.

Anaglyphe

Crédits

The genesis of the macro Draft_Circle_3_Points sur le forum (PYTHON) coordonnées d'un point helped flachyjoe thanks.
The formula comes from cercle_3pts.pdf and used with the kind permission of its author.
The formula adapted by " galou_breizh " circle in 3D space comes from Circumscribed_circle
Separate programs are located here,
Macro Draft Circle 3 Points
Macro Draft Circle 3 Points 3D

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