Macro 3D Parametric Curve: Difference between revisions

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<languages/>
<translate>
<translate>

<!--T:1-->
<!--T:1-->
{{Macro
{{Macro|Icon=Text-x-python|Name=Macro 3D Parametric Curve|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.|Author=Lucio Gomez (psicofil)}}
|Name=Macro 3D Parametric Curve
|Icon=Macro_3D_Parametric_Curve.png
|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.
|Author=Lucio Gomez (psicofil)
|Version=2.0
|Date=2015-03-06
|FCVersion=All
|Download=[https://wiki.freecad.org/images/f/f5/Macro_3D_Parametric_Curve.png ToolBar Icon]
|SeeAlso=[[Macro_Parametric_Curve_FP|Macro Parametric Curve FP]]
}}


==Description== <!--T:6-->
==Description== <!--T:11-->


<!--T:7-->
<!--T:2-->
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.
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.


<!--T:8-->
<!--T:9-->
[[File:Macro_3D_Parametric_Curve.png|600px|Example Epicycloid curve‎]]
[[File:ParametricCurve.png|600px]]
{{Caption|Example Epicycloid curve‎}}

==Original Script== <!--T:12-->

<!--T:3-->
You can find the updated code (13/05/2015) on the following Github repository:
[https://github.com/psicofil/Macros_FreeCAD/blob/master/Macros/ParametricCurve.FCMacro Get the code here!]

==Modified Script== <!--T:4-->

<!--T:10-->
[[File:Macro_3D_Parametric_Curve00.png|600px|Example Epicycloid curve‎]]

<!--T:13-->
ToolBar Icon [[Image:Macro_3D_Parametric_Curve.png]]


==Original Script== <!--T:3-->
'''Macro 3D Parametric Curve.FCMacro'''
</translate>
</translate>
<syntaxhighlight>
# -*- coding: utf-8 -*-
# Create a 3D parametric Curve.
# Author: Gomez Lucio
import FreeCAD
from PyQt4 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()
</syntaxhighlight>
<translate>


'''Macro 3D Parametric Curve.FCMacro'''
==Modified Script== <!--T:5-->

'''Macro 3D Parametric Curve.FCMacro'''
{{MacroCode|code=
</translate>

<syntaxhighlight>
# -*- coding: utf-8 -*-
# -*- coding: utf-8 -*-
# Create a 3D parametric Curve.
# Create a 3D parametric Curve.
Line 314: Line 218:
ParamCurv()
ParamCurv()


}}
</syntaxhighlight>


{{clear}}
{{clear}}
<languages/>

Latest revision as of 18:10, 28 December 2023

Other languages:

Macro 3D Parametric Curve

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.

Macro version: 2.0
Last modified: 2015-03-06
FreeCAD version: All
Download: ToolBar Icon
Author: Lucio Gomez (psicofil)
Author
Lucio Gomez (psicofil)
Download
ToolBar Icon
Links
Macro Version
2.0
Date last modified
2015-03-06
FreeCAD Version(s)
All
Default shortcut
None
See also
Macro Parametric Curve FP

Description

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.

Example Epicycloid curve‎

Original Script

You can find the updated code (13/05/2015) on the following Github repository: Get the code here!

Modified Script

Example Epicycloid curve‎

ToolBar Icon


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()