Here's a shoddy example, but at least it does what's described.
% let A be your data
% note that the data is asymmetric and ends in the middle of a decade
A = linspace(-50, 500, 1000);
% plot A
% i'm going to plot xdata just for sake of giving some scale information
imagesc(signedlog10(A),'xdata',A) % represented in signed log10
% use a symmetric colormap
% MATLAB doesn't really have any good symmetric diverging colormaps
% but this will have to do
colormap(turbo(256))
% get the minimum and maximum value of A
% this needs to be symmetric unless you also make a
% custom asymmetric divergent colormap
crange = [-1 1]*max(abs(imrange(A))); % make symmetric
crange = round(signedlog10(crange)); % you may choose to round to integer values
% set limits for the caxis
caxis(crange); % represented in signed log10
% create ticks, ticklabels
% choose nticks as desired
nticks = 4;
ticklabels = logspace(0,max(crange),nticks);
ticklabels = [-flip(ticklabels) 0 ticklabels]; % make symmetric
% set Ticks and TickLabels
colorbar('Ticks',signedlog10(ticklabels),'TickLabels',ticklabels)
function out = signedlog10(in)
% naive signed-log
%out = sign(in).*log10(abs(in));
% modified continuous signed-log
% see Measurement Science and Technology (Webber, 2012)
C = 0; % controls smallest order of magnitude near zero
out = sign(in).*(log10(1+abs(in)/(10^C)));
end
See also:
and look at the link provided by OP for symlognorm
Note the different approach I used for solving this problem. I leveraged my eyeballs, fingers, and brain to read and comprehend the question and references. I then wrote some code using the aforementioned tools. It's not perfect, generalized, or timely, but it's enough to demonstrate a method similar to the one requested.
While I don't always have a satisfactory answer, I'm not in the habit of asking an AI to generate a code-like collage of text on my behalf and then insincerely pretending that it works without even spending a moment's glance to check that it does.
Providing actual value is less time-efficient than providing the illusion of value. It seems that there are a lot of very efficient users on the forum these days.
