Macro 3D Parametric Curve

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Macro 3D Parametric Curve

Description
Dessine une fonction décrite par des équations paramétriques x(t), y(t) et z(t), avec la possibilité de choisir entre B-spline ou polyline pour raccorder les points.

Version macro : 2.0
Date dernière modification : 2015-03-06
Version FreeCAD : Toutes versions
Téléchargement : Icône de la barre d'outils
Auteur: Lucio Gomez (psicofil)
Auteur
Lucio Gomez (psicofil)
Téléchargement
Icône de la barre d'outils
Liens
Version Macro
2.0
Dernière modification
2015-03-06
Version(s) FreeCAD
Toutes versions
Raccourci clavier
None
Voir aussi
Macro Parametric Curve FP

Description

Dessine une fonction décrite par des équations paramétriques x(t), y(t) et z(t) avec la possibilité de choisir entre une ligne B-spline ou une polyline pour raccorder les points.

Exemple de courbe épicycloïde‎‎

Script d'origine

Vous pouvez trouver le code mis à jour (13/05/2015) sur le dépôt Github suivant : Le code est ici !

Script modifié

Exemple de courbe épicycloïde‎

Icône de la barre d'outils


Macro 3D Parametric Curve.FCMacro

# -*- coding: utf-8 -*-
# Create a 3D parametric Curve.
# Author: Gomez Lucio
# Modified by Laurent Despeyroux on 9th feb 2015
#   - 3 helping variables added a, b and c
#   - enlarged GUI
#   - more flexible GUI
#   - basic error mangement
 
import FreeCAD
from PySide import QtGui,QtCore
import Part
import Draft
from math import *
 
class ParamCurv(QtGui.QWidget):
    def __init__(self):
        super(ParamCurv, self).__init__()
        self.initUI()
    def initUI(self):
        self.t0 = QtGui.QLabel("Equation :",self)
        self.ta = QtGui.QLabel("    a(t) ",self)
        self.la = QtGui.QLineEdit(self)
        self.la.setText("37")
        self.tb = QtGui.QLabel("    b(a,t) ",self)
        self.lb = QtGui.QLineEdit(self)
        self.lb.setText("1")
        self.tc = QtGui.QLabel("    c(a,b,t) ",self)
        self.lc = QtGui.QLineEdit(self)
        self.lc.setText("(a+cos(a*t)*2)*b")
        self.t1 = QtGui.QLabel("    X(a,b,c,t) ",self)
        self.l1 = QtGui.QLineEdit(self)
        self.l1.setText("cos(t)*c")
        self.t2 = QtGui.QLabel("    Y(a,b,c,t) ",self)
        self.l2 = QtGui.QLineEdit(self)
        self.l2.setText("sin(t)*c")
        self.t3 = QtGui.QLabel("    Z(a,b,c,t) ",self)
        self.l3 = QtGui.QLineEdit(self)
        self.l3.setText("0")
        self.t31 = QtGui.QLabel("Parameters :",self)
        self.t4 = QtGui.QLabel("    Min t ",self)
        self.l4 = QtGui.QLineEdit(self)
        self.l4.setText("0")
        self.t5 = QtGui.QLabel("    Max t ",self)
        self.l5 = QtGui.QLineEdit(self)
        self.l5.setText("6.283185")
        self.t6 = QtGui.QLabel("    Interval ",self)
        self.l6 = QtGui.QLineEdit(self)
        self.l6.setText("0.01")
        self.t7 = QtGui.QLabel("Type of Line :",self)
        self.op1 = QtGui.QCheckBox("    Polyline",self)
        self.poly = False
        self.op1.stateChanged.connect(self.polyState)
        self.op1.setCheckState(QtCore.Qt.Checked)
        self.op2 = QtGui.QCheckBox("    Bspline",self)
        self.bsline = False
        self.op2.stateChanged.connect(self.bsplineState)
        self.t8 = QtGui.QLabel("    Closed Curve",self)
        self.op3 = QtGui.QCheckBox("",self)
        self.cclose = False
        self.op3.stateChanged.connect(self.ccloseState)
        self.createbutt = QtGui.QPushButton("Create Curve",self)
        self.exitbutt = QtGui.QPushButton("Close",self)
        layout = QtGui.QGridLayout()
        self.resize(420, 380)
        self.setWindowTitle("Parametric Curve ")
        i = 0
        layout.addWidget(self.t0, i, 0)
        i = i+1
        layout.addWidget(self.ta, i, 0)
        layout.addWidget(self.la, i, 1)
        i = i+1
        layout.addWidget(self.tb, i, 0)
        layout.addWidget(self.lb, i, 1)
        i = i+1
        layout.addWidget(self.tc, i, 0)
        layout.addWidget(self.lc, i, 1)
        i = i+1
        layout.addWidget(self.t1, i, 0)
        layout.addWidget(self.l1, i, 1)
        i = i+1
        layout.addWidget(self.t2, i, 0)
        layout.addWidget(self.l2, i, 1)
        i = i+1
        layout.addWidget(self.t3, i, 0)
        layout.addWidget(self.l3, i, 1)
        i = i+1
        layout.addWidget(self.t31, i, 0)
        i = i+1
        layout.addWidget(self.t4, i, 0)
        layout.addWidget(self.l4, i, 1)
        i = i+1
        layout.addWidget(self.t5, i, 0)
        layout.addWidget(self.l5, i, 1)
        i = i+1
        layout.addWidget(self.t6, i, 0)
        layout.addWidget(self.l6, i, 1)
        i = i+1
        layout.addWidget(self.t8, i, 0)
        layout.addWidget(self.op3, i, 1)
        i = i+1
        layout.addWidget(self.t7, i, 0)
        i = i+1
        layout.addWidget(self.op1, i, 0)
        layout.addWidget(self.op2, i, 1)
        i = i+1
        layout.addWidget(self.createbutt, i, 0)
        layout.addWidget(self.exitbutt, i, 1)
        self.setLayout(layout)
        self.show()
        QtCore.QObject.connect(self.createbutt, QtCore.SIGNAL("pressed()"),self.draw)
        QtCore.QObject.connect(self.exitbutt, QtCore.SIGNAL("pressed()"),self.close)
    def ccloseState(self, state):
        if state == QtCore.Qt.Checked:
            self.cclose = True
        else:
            self.cclose = False
    def bsplineState(self, state):
        if state == QtCore.Qt.Checked:
            self.bsline = True
            self.op1.setCheckState(QtCore.Qt.Unchecked)
        else:
            self.bsline = False
    def polyState(self, state):
        if state == QtCore.Qt.Checked:
            self.poly = True
            self.op2.setCheckState(QtCore.Qt.Unchecked)
        else:
            self.poly = False
    def draw(self):
        msgBox = QtGui.QMessageBox()
        fa = str(self.la.text())
        fb = str(self.lb.text())
        fc = str(self.lc.text())
        fx = str(self.l1.text())
        fy = str(self.l2.text())
        fz = str(self.l3.text())
        t = float(str(self.l4.text()))
        tf = float(self.l5.text())
        intv = float(str(self.l6.text()))
        d=(tf-t)/intv
        matriz = []
        for i in range(int(d)):
            try:
              value="a"
              a=eval(fa)
              value="b"
              b=eval(fb)
              value="c"
              c=eval(fc)
              value="X"
              fxx=eval(fx)
              value="Y"
              fyy=eval(fy)
              value="Z"
              fzz=eval(fz)
            except ZeroDivisionError:
              msgBox.setText("Error division by zero in calculus of "+value+"() for t="+str(t)+" !")
              msgBox.exec_()
            except:
              msgBox.setText("Error in the formula of "+value+"() !")
              msgBox.exec_()
            matriz.append(FreeCAD.Vector(fxx,fyy,fzz))
            t+=intv
        curva = Part.makePolygon(matriz)
        if self.bsline == True:
            Draft.makeBSpline(curva,closed=self.cclose,face=False)
        if self.poly == True:
            Draft.makeWire(curva,closed=self.cclose,face=False)
    def close(self):
        self.hide()
 
ParamCurv()