How do I change the scale on a plot so different parts of the axis are on different scales?

I have to make a simple plot using the Plot function. However on the xx axis I want the scale to be such that it initially shows a zoom up of 00 to 11, and then the scale compresses and shows from, say, 100100 to 1000010000.
How to achieve that? I have tried a lot of different functions including Zoom and Show, but none seem to work.

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This seems to be a duplicate, see e.g. How does one set a logarithmic scale in a ContourPlot?
– Artes
Mar 11 at 16:33

  

 

Thanks. That might work. However is there no other alternative method?
– Budhaditya Bhattacharjee
Mar 11 at 16:42

  

 

You could take a look at Generating a broken or snipped axis in ListPlot and solutions therein. Perhaps something could be adapted.
– MarcoB
Mar 11 at 16:50

  

 

What happens between 1 and 100?
– BlacKow
Mar 11 at 17:08

  

 

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– Louis
Mar 11 at 17:18

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2 Answers
2

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You can split your X interval into several subintervals and sample your function inside every interval with step proportional to current interval length. Then use ListPlot to show all sampled values and relabel X-axis ticks.

f[x_] := Sin[x] + 1.5;
nPoints = 1000.0;
edges = {0, 2 Pi, 10 Pi, 100 Pi};
intervals = Partition[#, 2, 1] &@edges;
points = Flatten[
Range[#[[1]], #[[2]], (#[[2]] – #[[1]])/nPoints][[1 ;; -2]] & /@
intervals];
ticks = Transpose@{Range[1, Length@edges*nPoints, nPoints], edges};

Show[ListPlot[f[points], Ticks -> {ticks, Automatic}]]

How about if you just use a simple Manipulate statement? For example:

Manipulate[Plot[x, {x, 0, a}], {a, {1, 100, 1000}}]

That should work. Even more, you can choose the plot options according to your choice of a, that you can figure it out.

  

 

Thanks guys. LogLinearPlot worked fine for me.
– Budhaditya Bhattacharjee
Mar 12 at 5:14

  

 

@BudhadityaBhattacharjee .. interesting… how is a log scale a zoom in? But I’m glad you got what you wanted.
– BlacKow
Mar 14 at 22:06