How can I control the format of the tick label numbers when using a log YScale with a large range?

I am trying to produce plots with a log Y-axis scale and with non-exponential format numbers (e.g., 1000, not 10^3) as labels for the Y ticks. This works with narrow Y-axis ranges but not wide ones, as is illustrated in the following example (using all positive Y values in quite reasonable ranges):

X = 1:10;
Y = (11:20)*100;
for ymin=400:-100:100
    figure;
    plot(X,Y);
    axis([0 10 ymin 2200]);  % set xmin xmax ymin ymax
    ax = gca;
    ax.YAxis.Exponent = 0
    ax.YScale = 'log';
end

Figures 1 and 2 have non-exponential Y tick labels, which is what I want, but Figures 3 and 4 have labels like 10^2.

So, my question is, how can I force MATLAB to produce non-exponential Y tick labels regardless of the range of the Y axis?

Thanks for any suggestions.

Answer 1

[KL]

You should use yticks and yticklabels if you explicitly want to control what is to be displayed.

https://www.mathworks.com/help/matlab/ref/yticks.html

https://www.mathworks.com/help/matlab/ref/yticklabels.html

Something like this in your code should work,

X = 1:10;
Y = (11:20)*100;
for ymin=400:-100:100
    figure;
    plot(X,Y);
    axis([0 10 ymin 2200]);  % set xmin xmax ymin ymax
    yticks([ymin:100:2200]);
    yticklabels(num2str([ymin:100:2200].'));
    ax = gca;
    ax.YAxis.Exponent = 0
    ax.YScale = 'log';
end

[Jeff Miller]

Yes, that works, thanks, so I will accept the answer unless a better solution arrives soon.

But I am really hoping for a less "brute force" solution. I'm trying to make a function that I can use to produce a lot of these plots (subplots, actually, with X and Y as arguments), and it would be nice if I could simply rely on MATLAB to produce non-exponential tick labels, rather than having to specify the labels for each subplot individually.