Question

Is there a way in Mathematica to check whether a plot is empty or not?

By empty, I mean it is only showing the axes and not any data points.
I have a function that, depending on its inputs, gives some data points (to be plotted later) or none, but i won’t know whether it will produce any valid data points unless i plot it.
And if it doesn’t, when i plot it, it will return an empty plot.
I would like to differentiate between the empty plot and a plot with data points.

Answer 1

I’ll generate an empty Plot to explore the form.

empty = Plot[{}, {x, 0, 1}];
FullForm[%]

shows that Plot[] returns a Graphics object with two parts – 1.) the content, and 2.) the options. In this case the first is an empty List, so setting a condition like

empty[[1]] == {}

should return True for this particular type of emptiness. It’ll work for other Plots

Plot3D[{}, {x, -3, 3}, {y, -2, 2}][[1]] == {}

True

but you might have to pick apart the FullForm of your example to be sure.