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<html><head><title>Macro 3D Parametric Curve/fr</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 3D Parametric Curve/fr</h1></div>
<div id="mw-content-text" lang="fr" 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="Macro_3D_Parametric_Curve"><a href="https://www.freecadweb.org/wiki/index.php?title=File:Text-x-python.png" class="image"><img alt="Text-x-python.png" src="32px-Text-x-python.png" width="32" height="32" srcset="/wiki/images/2/2c/Text-x-python.png 1.5x" /></a> Macro 3D Parametric Curve</span></h3>
</td></tr>
<tr>
<th class="ctOdd">Description
</th></tr>
<tr>
<td class="ctEven left">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.
</td></tr>
<tr>
<th class="ctOdd">Auteur
</th></tr>
<tr>
<td class="ctEven"><a href="/wiki/index.php?title=User:Lucio_Gomez_(psicofil)&amp;action=edit&amp;redlink=1" class="new" title="User:Lucio Gomez (psicofil) (page does not exist)">Lucio Gomez (psicofil)</a>
</td></tr>
<tr>
<th class="ctOdd">Liens
</th></tr>
<tr>
<td class="ctEven"><a href="https://www.freecadweb.org/wiki/index.php?title=Macros_recipes/fr" title="Macros recipes/fr">Recettes macros</a><br /><a href="https://www.freecadweb.org/wiki/index.php?title=How_to_install_macros/fr" title="How to install macros/fr">Comment installer une macro</a><br /><a href="https://www.freecadweb.org/wiki/index.php?title=Customize_Toolbars/fr" title="Customize Toolbars/fr">Comment ajouter une barre d'outils</a>
</td></tr>
<tr>
<th class="ctOdd">Version
</th></tr>
<tr>
<td class="ctEven macro-version">2.0
</td></tr>
<tr>
<th class="ctOdd">Date dernière modification
</th></tr>
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<td class="ctEven macro-date">2015-03-06
</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="#Macro_3D_Parametric_Curve"><span class="tocnumber">1</span> <span class="toctext">Macro 3D Parametric Curve</span></a></li>
<li class="toclevel-1 tocsection-1"><a href="#Description"><span class="tocnumber">2</span> <span class="toctext">Description</span></a></li>
<li class="toclevel-1 tocsection-2"><a href="#Script_Original"><span class="tocnumber">3</span> <span class="toctext">Script Original</span></a></li>
<li class="toclevel-1 tocsection-3"><a href="#Script_Modifi.C3.A9"><span class="tocnumber">4</span> <span class="toctext">Script Modifié</span></a></li>
</ul>
</div>
</td></tr>
</table>
<p><br />
</p>
<h2><span class="mw-headline" id="Description">Description</span></h2>
<p>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.
</p><p><a href="https://www.freecadweb.org/wiki/index.php?title=File:ParametricCurve.png" class="image" title="Exemple Epicycloid courbe"><img alt="Exemple Epicycloid courbe" src="600px-ParametricCurve.png" width="600" height="325" srcset="/wiki/images/thumb/4/42/ParametricCurve.png/900px-ParametricCurve.png 1.5x, /wiki/images/thumb/4/42/ParametricCurve.png/1200px-ParametricCurve.png 2x" /></a>
</p>
<h2><span class="mw-headline" id="Script_Original">Script Original</span></h2>
<p>Vous pouvez télécharger le dernier scipt (13/05/2015) sur Github repository:
<a rel="nofollow" class="external text" href="https://github.com/psicofil/Macros_FreeCAD/blob/master/Macros/ParametricCurve.FCMacro"><b>Macro 3D Parametric Curve.FCMacro</b></a>
</p>
<h2><span class="mw-headline" id="Script_Modifi.C3.A9">Script Modifié</span></h2>
<p><a href="https://www.freecadweb.org/wiki/index.php?title=File:Macro_3D_Parametric_Curve.png" class="image" title="Exemple de courbe Epicycloide"><img alt="Exemple de courbe Epicycloide" src="600px-Macro_3D_Parametric_Curve.png" width="600" height="364" srcset="/wiki/images/thumb/f/f5/Macro_3D_Parametric_Curve.png/900px-Macro_3D_Parametric_Curve.png 1.5x, /wiki/images/f/f5/Macro_3D_Parametric_Curve.png 2x" /></a>
</p><p><b>Macro 3D Parametric Curve.FCMacro</b>
</p>
<pre># -*- 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&#160;:",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&#160;:",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&#160;:",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)+"&#160;!")
msgBox.exec_()
except:
msgBox.setText("Error in the formula of "+value+"()&#160;!")
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() </pre>
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