How to plot a parameterized curve with gnuplot?

Question

I would like to plot a function f: R -> R^2 like f(t) = (cos(t), sin(t)), but I don't see how to do it.

f(t) = (cos(t), sin(t))
plot f(x) # doesn't work
splot f(x) # doesn't work either and is probably not what I want

Is there a way to plot such a function in gnuplot?

theozh · Accepted Answer · 2022-08-17 13:15:06Z

2

Please check help parametric, help special-filenames, help sampling and this: http://gnuplot.sourceforge.net/demo_5.4/param.html.

Here are two approaches:

Script:

### parametric curves
reset session

fx(t) = cos(t)
fy(t) = sin(t)

set size ratio -1
set xrange[-1.1:1.1]
set yrange[-1.1:1.1]

set multiplot layout 1,2
    set parametric
    plot [t=0:2*pi] fx(t), fy(t) w l lc "red"
    unset parametric

    plot sample [t=0:2*pi] '+' u (fx(t)):(fy(t)) w l lc "blue"
unset multiplot
### end of script

Result:

answered Aug 17, 2022 at 13:15

theozh

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