How to make zoom in and zoom out functions of a figure work in this situation?

I have some x and y values that differ a lot in terms of their ranges. For example, the x values could be

-0.03
-0.02
0
0.01
0.03

but the y values could be

3500
5700
6800
9000
12000

I need to make an x-y plot and let users pinpoint the data points, by using the below coding:

pt = event.IntersectionPoint

Long story short. The above program will be dysfunctional in this case because x and y ranges have such big differences. What I did was to first multiply all the x values with a factor, in this case 100000 before plotting. I then changed the x-axis labels using the below script:

xt  = xticks(han01);
for i=1:length(xt)
    xt2{i} = num2str(xt(i)/100000);
end
set(han01,'xtickLabel',xt2);

Now, everything works great, except that the zoom in/zoom out functions of the plots are now messed up. Anyone knows how to make the zoom in / zoom out functions work in this situation?

Many thanks!

[Adam Danz]

Hmmmm, it sounds like you want to fix a problem caused by problematic solution to a related problem. This is known as the XY Problem. A better approach would be to address the problem itself: why the user-selected coordinate function isn't working.

The "long story short" is appreciated. But maybe you could share a snippet of code that produces the original problem with selecting a coordinate from an axes with largely different x and y scales.

[Leon]

Thanks, Adam!

Below is my pinpointing function that is having the x y range difference issue:

%  FIND NEAREST (X,Y,Z) COORDINATE TO MOUSE CLICK
% Inputs:
%  hObj (unused) the axes
%  event: info about mouse click
% OUTPUT
%  coordinateSelected: the (x,y,z) coordinate you selected
%  minIDx: The index of your inputs that match coordinateSelected.
% Factor = (max(y)-min(y))/(max(x)-min(x));

pt = event.IntersectionPoint;       % The (x0,y0,z0) coordinate you just selected
coordinates = [x(:),y(:),z(:)];     % matrix of your input coordinates
dist = pdist2(pt,coordinates);      %distance between your selection and all points
[~, minIdx] = min(dist);            % index of minimum distance to points
coordinateSelected = coordinates(minIdx,:); %the selected coordinate

[Adam Danz]

ahhhh I remember this now. You might remember that I recreated the same axis ranges but didn't have the problem but then I realized your plot was much smaller (embedded within an app) which increases the chance of the wrong point being selected (here's the link). But when I tried with your actual app axes, it worked when I selected the outlier data points (link).

If this problem is with the same densely plotted data I'm not sure there will be a good solution to precisely selecting a single coordinate with the mouse. Have you tried zooming into the axes in order to spread out the data points and increase your mouse's precision?