#!/usr/bin/env python3

# encoding: utf-8

#

# Copyright (c) 2010 Doug Hellmann. All rights reserved.

#

"""Comparing floating point values

"""

# abs(a-b) <= max(rel_tol * max(abs(a), abs(b)), abs_tol)

#end_pymotw_header

import math

INPUTS = [

(1000, 900, 0.1),

(100, 90, 0.1),

(10, 9, 0.1),

(1, 0.9, 0.1),

(0.1, 0.09, 0.1),

]

print('{:^8} {:^8} {:^8} {:^8} {:^8} {:^8}'.format(

'a', 'b', 'rel_tol', 'abs(a-b)', 'tolerance', 'close')

)

print('{:-^8} {:-^8} {:-^8} {:-^8} {:-^8} {:-^8}'.format(

'-', '-', '-', '-', '-', '-'),

)

fmt = '{:8.2f} {:8.2f} {:8.2f} {:8.2f} {:8.2f} {!s:>8}'

for a, b, rel_tol in INPUTS:

close = math.isclose(a, b, rel_tol=rel_tol)

tolerance = rel_tol * max(abs(a), abs(b))

abs_diff = abs(a - b)

print(fmt.format(a, b, rel_tol, abs_diff, tolerance, close))