255 lines
10 KiB
HTML
255 lines
10 KiB
HTML
<html><head><title>Macro 3D Parametric Curve</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</h1></div>
|
||
|
||
<div id="mw-content-text" lang="en" dir="ltr" class="mw-content-ltr"><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="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 macro-description">Draw a function described by parametric equations x(t), y(t) and z(t) With the possibility to choose between b-spline and polyline for the type of line between points.
|
||
</td></tr>
|
||
<tr>
|
||
<th class="ctOdd">Author
|
||
</th></tr>
|
||
<tr>
|
||
<td class="ctEven macro-author"><a href="/wiki/index.php?title=User:Lucio_Gomez_(psicofil)&action=edit&redlink=1" class="new" title="User:Lucio Gomez (psicofil) (page does not exist)">Lucio Gomez (psicofil)</a>
|
||
</td></tr>
|
||
<tr>
|
||
<th class="ctOdd">Links
|
||
</th></tr>
|
||
<tr>
|
||
<td class="ctEven"><a href="Macros_recipes.html" title="Macros recipes">Macros recipes</a><br /><a href="How_to_install_macros.html" title="How to install macros">How to install macros</a><br /><a href="Customize_Toolbars.html" title="Customize Toolbars">How to customize toolbars</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 last modification
|
||
</th></tr>
|
||
<tr>
|
||
<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="#Original_Script"><span class="tocnumber">3</span> <span class="toctext">Original Script</span></a></li>
|
||
<li class="toclevel-1 tocsection-3"><a href="#Modified_Script"><span class="tocnumber">4</span> <span class="toctext">Modified Script</span></a></li>
|
||
</ul>
|
||
</div>
|
||
|
||
</td></tr>
|
||
</table>
|
||
<p><br />
|
||
</p>
|
||
<h2><span class="mw-headline" id="Description">Description</span></h2>
|
||
<p>This macro creates a curve described by parametric equations x(t), y(t) and z(t). With the possibility to choose between b-spline and polyline for the type of line between points.
|
||
</p><p><a href="https://www.freecadweb.org/wiki/index.php?title=File:ParametricCurve.png" class="image" title="Example Epicycloid curve"><img alt="Example Epicycloid curve" 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="Original_Script">Original Script</span></h2>
|
||
<p>You can find the updated code (13/05/2015) on the following Github repository:
|
||
<a rel="nofollow" class="external text" href="https://github.com/psicofil/Macros_FreeCAD/blob/master/Macros/ParametricCurve.FCMacro">Get the code here!</a>
|
||
</p>
|
||
<h2><span class="mw-headline" id="Modified_Script">Modified Script</span></h2>
|
||
<p><a href="https://www.freecadweb.org/wiki/index.php?title=File:Macro_3D_Parametric_Curve.png" class="image" title="Example Epicycloid curve"><img alt="Example Epicycloid curve" 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 :",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() </pre>
|
||
<div style="clear:both"></div>
|
||
</div>
|
||
|
||
|
||
|
||
</div>
|
||
|
||
</div><div class="printfooter">
|
||
Online version: "<a dir="ltr" href="https://www.freecadweb.org/wiki/index.php?title=Macro_3D_Parametric_Curve&oldid=240556">http://www.freecadweb.org/wiki/index.php?title=Macro_3D_Parametric_Curve&oldid=240556</a>"</div>
|
||
<div id="catlinks" class="catlinks" data-mw="interface"></div><div class="visualClear"></div>
|
||
</div>
|
||
</div>
|
||
<div id="mw-navigation">
|
||
<h2>Navigation menu</h2>
|
||
|
||
</body></html> |