Macro 3D Parametric Curve: Difference between revisions

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{{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)}}
{{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)}}


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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.



Revision as of 19:39, 6 May 2014

File:Text-x-python 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)
Author
Lucio Gomez (psicofil)
Download
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Links
Macro Version
1.0
Date last modified
None
FreeCAD Version(s)
None
Default shortcut
None
See also
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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


Script

# -*- 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()
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