I can a self-defined function for plotting. There is a built-in option AspectRatio. I want to include a few more choices for convenience, eg.

ratio1 = (yrange[[2]]-yrange[[1]])/(xrange[[2]]-xrange[[1]])
ratio2 = 2*(yrange[[2]]-yrange[[1]])/(xrange[[2]]-xrange[[1]])
ratio3 = (yrange[[2]]-yrange[[1]])/(xrange[[2]]-xrange[[1]])/3

other than the standard choices of Automatic and Full. How to do that so that AspectRatio->ratio1 becomes a valid input?

  • $\begingroup$ in your case it will be 1, 2 and 1/3 right? $\endgroup$
    – Kuba
    Commented Sep 10, 2016 at 9:36
  • $\begingroup$ Can you be more specific on what exactly is not working? AspectRatio->ratio1 works just fine for me, given some arbitrary ranges. $\endgroup$
    – Andreas
    Commented Sep 10, 2016 at 9:50
  • $\begingroup$ the three ratios are just examples (for course I can just type 1, 2 1/3). I mean I have already calculated a few more complicated ratios that will depend on a few parameters of the input function. I don't want to explicitly calculate them every time I call my self-defined plotting function, and so I want to include them in the optional arguments 'AspectRatio' so that when I just type in 'ratio1' it will automatically calculates that particular ratio inside the function itself. $\endgroup$
    – Physicist
    Commented Sep 10, 2016 at 10:02
  • $\begingroup$ In short, I want to put the above codes inside the function, and I can just choose which ratio I want by specifying the argument of 'AspectRatio', but currently it only accepts the built-in Automatic' and Full`, something I want to extend. $\endgroup$
    – Physicist
    Commented Sep 10, 2016 at 10:03

1 Answer 1


There are probably a lot of ways to do this, I will just demonstrate a simple, straight forward ways with which you might experiment.

First we set up a global variable that assigns aspect ratio functions:

$aspectRatioFunctions = Function[ func,
    Switch[ func,
        "ratio2", Function[ {p1,p2}, 2 p1/p2 ],
        "ratio3", Function[ {p1,p2}, p1 / (3 p2) ],
        _ , Function[ {p1, p2}, p1/p2 ] (* ratio1 as Default *)


We can now use this in a simple graphics function or whatever custom function you want to build upon:

Options[ myGraphics ] = {
    "AspectRatioFunction" -> "ratio1"

myGraphics[ graphics_List, aspectPars_ , 
    opts : OptionsPattern[{ myGraphics, Graphics }] ] := With[
        aspectRatio = Apply[
       Evaluate@FilterRules[ {opts}, Options[Graphics] ], (* more robust *)
       AspectRatio -> aspectRatio

gr = { Red, Line[{{1, 1}, {2, 2}}] }

myGraphics[ gr, { 1, 1 }, AspectRatioFunction -> "ratio2", Imagesize -> Tiny ]


  • $\begingroup$ This is merely a toy example to demonstrate the principle, of course. $\endgroup$
    – gwr
    Commented Sep 10, 2016 at 13:02
  • $\begingroup$ Note, that using FilterRules makes this more robust; the Evaluate is not needed here but may be for functions like Plot with HoldAll and the like. $\endgroup$
    – gwr
    Commented Sep 10, 2016 at 13:19
  • $\begingroup$ @Physicist Would your maybe care to accept? Thank you. ;-) $\endgroup$
    – gwr
    Commented Sep 20, 2016 at 9:13

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