{{Macro
|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://www.freecadweb.org/wiki/images/f/f5/Macro_3D_Parametric_Curve.png ToolBar Icon]
|SeeAlso=Macro Parametric Curve FP 
}}
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.
You can find the updated code (13/05/2015) on the following Github repository: Get the code here!
ToolBar Icon 
Macro 3D Parametric Curve.FCMacro
{{MacroCode|code=
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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