An explanation for the atol difference between numpy and math, by the author of math.isclose():

https://github.com/numpy/numpy/issues/10161#issuecomment-350...

plus a ton of flogging/benchmarking common libraries (numpy, scipy, scikit-learn) and discussion about np.isclose()

... and also this gem:

  import numpy as np
  
  a = 1
  b = 10
  rtol = 1
  atol = 0
  np.isclose(a, b, rtol=rtol, atol=atol)  # True
  np.isclose(b, a, rtol=rtol, atol=atol)  # False

(For the record:)

  import math
  
  math.isclose(a, b, rel_tol=rtol, abs_tol=atol)  # True
  math.isclose(b, a, rel_tol=rtol, abs_tol=atol)  # True