Algorithm to map an interval to a smaller interval

Question

I tried searching, but due to the nature of my question, I was unable to find something satisfactory.

My problem is the following: I am trying to map numbers ranging fro

Answer 1

An answer using Numpy from Python:

import numpy as np  

# [A, B]: old interval
# [a, b] new interval
new_value = np.interp(old_value, [A, B], [a, b])
print(new_value)