# Rewritten code from /r2/r2/lib/db/_sorts.pyx
from math import sqrt
def _confidence(ups, downs):
n = ups + downs
if n == 0:
return 0
z = 1.281551565545
p = float(ups) / n
left = p + 1/(2*n)*z*z
right = z*sqrt(p*(1-p)/n + z*z/(4*n*n))
under = 1+1/n*z*z
return (left - right) / under
def confidence(ups, downs):
if ups + downs == 0:
return 0
else:
return _confidence(ups, downs)