Macro Draw Parametric 2D Function: Difference between revisions
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{{Macro |
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|Name=Macro Draw Parametric 2D Function |
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|Icon=Macro_Draw_Parametric_2D_Function.png |
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|Author=T4b |
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|Version=2.0 |
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|Date=2012-08-30 |
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|FCVersion=All |
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|Download=[https://www.freecadweb.org/wiki/images/0/03/Macro_Draw_Parametric_2D_Function.png ToolBar Icon] |
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==Description== <!--T:2--> |
==Description== <!--T:2--> |
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Draws 2-dimensional, parametric and optionally polar equations. |
Draws 2-dimensional, parametric and optionally polar equations. |
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{{Caption|DrawParametric2DFunction}} |
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==Limitations== <!--T:4--> |
==Limitations== <!--T:4--> |
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Still has some bugs and misses some features. Documentation is in the docstrings. |
Still has some bugs and misses some features. Documentation is in the docstrings. |
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== |
==Usage== <!--T:5--> |
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Type : |
Type : |
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draw2Dfunction(xFunction="0.5*n", yFunction="-0.75*n", n=0, nd=-math.pi, step=50, pol=1) |
draw2Dfunction(xFunction="0.5*n", yFunction="-0.75*n", n=0, nd=-math.pi, step=50, pol=1) |
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ToolBar Icon [[Image:Macro_Draw_Parametric_2D_Function.png]] |
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'''Macro_drawParametric2DFunction.FCMacro''' |
'''Macro_drawParametric2DFunction.FCMacro''' |
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{{Code|code= |
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import FreeCAD, FreeCADGui, Part |
import FreeCAD, FreeCADGui, Part |
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nStart=n |
nStart=n |
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while math.fabs(n-nd)-1.0/step>0: |
while math.fabs(n-nd)-1.0/step>0: |
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print "n: " + str(n) |
print( "n: " + str(n)) |
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x=evalFunction(xFunction, n) |
x=evalFunction(xFunction, n) |
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y=evalFunction(yFunction, n) |
y=evalFunction(yFunction, n) |
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nNext=n+math.copysign(1,nd-n)/step |
nNext=n+math.copysign(1,nd-n)/step |
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print "nNext: " + str(nNext) |
print( "nNext: " + str(nNext)) |
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xNext=evalFunction(xFunction, nNext) |
xNext=evalFunction(xFunction, nNext) |
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yNext=evalFunction(yFunction, nNext) |
yNext=evalFunction(yFunction, nNext) |
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else: |
else: |
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nextSeg=(x*math.cos(y),x*math.sin(y),z),(xNext*math.cos(yNext),xNext*math.sin(yNext),z) |
nextSeg=(x*math.cos(y),x*math.sin(y),z),(xNext*math.cos(yNext),xNext*math.sin(yNext),z) |
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print "nextSeg: " + str(nextSeg) |
print( "nextSeg: " + str(nextSeg)) |
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nomme=Part.makeLine(*nextSeg) |
nomme=Part.makeLine(*nextSeg) |
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if n==nStart: |
if n==nStart: |
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Latest revision as of 00:33, 8 May 2020
Description |
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Draws 2-dimensional, parametric and optionally polar equations. Macro version: 2.0 Last modified: 2012-08-30 FreeCAD version: All Download: ToolBar Icon Author: T4b |
Author |
T4b |
Download |
ToolBar Icon |
Links |
Macros recipes How to install macros How to customize toolbars |
Macro Version |
2.0 |
Date last modified |
2012-08-30 |
FreeCAD Version(s) |
All |
Default shortcut |
None |
See also |
None |
Description
Draws 2-dimensional, parametric and optionally polar equations.
DrawParametric2DFunction
Limitations
Still has some bugs and misses some features. Documentation is in the docstrings.
Usage
Type :
Example usage:
draw2Dfunction(xFunction="0.5*n", yFunction="-0.75*n", n=0, nd=-math.pi, step=50, pol=1)
Script
Macro_drawParametric2DFunction.FCMacro
import FreeCAD, FreeCADGui, Part import math def evalFunction(suppliedFunction, n): """This function uses eval to evaluate suppliedFunction. It does in no way check whether suppliedFunction is evil, thus it is itself evil! """ return eval(suppliedFunction) def draw2Dfunction(xFunction="n", yFunction="n", n=-5, nd=10, step=10, z=0, pol=0): """Draws 2-dimensional mathemathical functions The function is drawn for n's between n and n+nd, in steps of 1/step, on the z-coordinate z. Equations for x and y can be given (xFunction and yFunction arguments), they default to n. If pol=1 then x is interpreted as r and y is interpreted as t. """ nStart=n while math.fabs(n-nd)-1.0/step>0: print( "n: " + str(n)) x=evalFunction(xFunction, n) y=evalFunction(yFunction, n) nNext=n+math.copysign(1,nd-n)/step print( "nNext: " + str(nNext)) xNext=evalFunction(xFunction, nNext) yNext=evalFunction(yFunction, nNext) if pol==0: nextSeg=(x,y,z),(xNext,yNext,z) else: nextSeg=(x*math.cos(y),x*math.sin(y),z),(xNext*math.cos(yNext),xNext*math.sin(yNext),z) print( "nextSeg: " + str(nextSeg)) nomme=Part.makeLine(*nextSeg) if n==nStart: WWire=Part.Wire([nomme]) else: WWire=Part.Wire([WWire,nomme]) n=nNext Part.show(WWire) #Example usage: draw2Dfunction(xFunction="0.5*n", yFunction="-0.75*n", n=0, nd=-math.pi, step=50, pol=1)