distfuntest.py

import random

def dist_maxplusman(x,y): return max(x,y)+x+y
def dist_square(x,y): return x*x+y*y
def randtile(): return (random.randrange(1,255), random.randrange(1,255))
def randtilepair(): return randtile(), randtile()

def onetest():
  t1, t2 = randtilepair()
  r1 = dist_maxplusman(*t1) < dist_maxplusman(*t2)
  r2 = dist_square(*t1) < dist_square(*t2)
  return r1 == r2

sum(onetest() for x in range(10000))