random numbers uniformly distributed in log space

Is there a function that can return n random numbers uniformly distributed in logspace?

The best solution I thought of involves randsample with logarithmic probability weights, but this is hack-y and inefficient.

Is there some input I can feed to random or some function I could apply to rand that would achieve what I want? Or, is there a known file on the file exchange that achieves this? I have searched, but to no avail.

Thanks in advance for your help.

Answer 1

[Walter Roberson]

log10 or ln ?

Assuming that you want the natural log of the n points to be uniformly distributed in the range A to B then

exp(A + (B-A)*rand(1,n))

Use 10.^ instead of exp() if you want log10.

Note that here A and B are expressed in log. If it is more convenient to you to have original values (e.g. 1000 instead of 3) then

LA = log(A); LB = log(B);
exp(LA + (Lb-LA) * rand(1,n))

or correspondingly

LA = log10(A); LB = log10(B);
10.^(LA + (Lb-LA) * rand(1,n))