Macro 3D Parametric Curve

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Revision as of 18:20, 7 March 2015 by FuzzyBot (talk | contribs) (Updating to match new version of source page)

File:Text-x-python 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 le type de ligne b-spline ou polyline pour raccorder les points.

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

Description

Cette macro paramétrique crée une courbe décrite par l'équation x(t), y(t) et z(t). Il est aussi possible de choisir le tracé de raccordement entre points avec une b-spline ou polyline.

Exemple de courbe Epicycloide‎

Script Original

Macro 3D Parametric Curve.FCMacro

# -*- coding: utf-8 -*-
# Create a 3D parametric Curve.
# Author: Gomez Lucio
 
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.t1 = QtGui.QLabel("    X(t) ",self)
        self.l1 = QtGui.QLineEdit(self)
        self.l1.setText("cos(t)")
        self.t2 = QtGui.QLabel("    Y(t) ",self)
        self.l2 = QtGui.QLineEdit(self)
        self.l2.setText("sin(t)")
        self.t3 = QtGui.QLabel("    Z(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("6.29")
        self.t6 = QtGui.QLabel("    Interval ",self)
        self.l6 = QtGui.QLineEdit(self)
        self.l6.setText("0.1")
        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(240, 380)
        self.setWindowTitle("Parametric Curve ")
        layout.addWidget(self.t0, 0, 0)
        layout.addWidget(self.t1, 1, 0)
        layout.addWidget(self.l1, 1, 1)
        layout.addWidget(self.t2, 2, 0)
        layout.addWidget(self.l2, 2, 1)
        layout.addWidget(self.t3, 3, 0)
        layout.addWidget(self.l3, 3, 1)
        layout.addWidget(self.t31, 4, 0)
        layout.addWidget(self.t4, 5, 0)
        layout.addWidget(self.l4, 5, 1)
        layout.addWidget(self.t5, 6, 0)
        layout.addWidget(self.l5, 6, 1)
        layout.addWidget(self.t6, 7, 0)
        layout.addWidget(self.l6, 7, 1)
        layout.addWidget(self.t8, 8, 0)
        layout.addWidget(self.op3, 8, 1)
        layout.addWidget(self.t7, 9, 0)
        layout.addWidget(self.op1, 10, 0)
        layout.addWidget(self.op2, 10, 1)
        layout.addWidget(self.createbutt, 11, 0)
        layout.addWidget(self.exitbutt, 11, 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):
        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)):
            fxx=eval(fx)
            fyy=eval(fy)
            fzz=eval(fz)
            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()

Script Modifié

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()
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