def test_str(self):
from constructible import Constructible
self.assertEqual(str(Constructible(2)), '2')
self.assertEqual(
str(
Constructible(Constructible(2), Constructible(3),
(Constructible(5), ()))), '(2 + 3 * sqrt(5))')
def test_repr(self):
from constructible import Constructible
self.assertEqual(repr(Constructible(2)),
'Constructible(Fraction(2, 1), 0, ())')
self.assertEqual(
repr(
Constructible(Constructible(2), Constructible(3),
(Constructible(5), ()))), 'Constructible('
'Constructible(Fraction(2, 1), 0, ()), '
'Constructible(Fraction(3, 1), 0, ()), '
'(Constructible(Fraction(5, 1), 0, ()), ())'
')')
def test_rational_comparison(self):
''' test comparison operators on constructible
instances representing rationals '''
from constructible import Constructible
from operator import eq, ne, gt, lt, ge, le
for op in (eq, ne, gt, lt, ge, le):
with self.subTest(op=op):
for a in [0, 1, -1]:
for b in [0, 1, -1]:
result = op(Constructible(a), Constructible(b))
self.assertEqual(result, op(a, b))
self.assertIsInstance(result, bool)
def test_rational_binop(self):
''' test binary operators on constructible
instances representing rationals '''
from constructible import Constructible
from fractions import Fraction as F
from operator import add, mul, sub, truediv
for op in (add, mul, sub, truediv):
with self.subTest(op=op):
for a, b in [(F(1, 2), F(5, 7)), (F(-1, 2), F(12, 25)),
(F(4, 3), 7), (17, F(7, 16))]:
result = op(Constructible(a), Constructible(b))
self.assertEqual(result.a, op(a, b))
self.assertFalse(result.b)
self.assertFalse(result.field)
def test_rational(self):
'''
hash of rationals represented as Constructible must be equal to the
hash of the original value.
'''
from constructible import Constructible
from fractions import Fraction as F
for x in [0, 1, -1, F(0, 1), F(1, 2), F(-1, 1)]:
with self.subTest(x=x):
y = Constructible(x)
# compare y == x instead of x == y because in Python 2.6 Fraction.__eq__ is broken
self.assertEqual(y, x,
'precondition for this test: %s==%s' % (y, x))
self.assertEqual(hash(x), hash(y), 'hash(%s)' % (x, ))
def test_rational_unop(self):
''' test unary operators on constructible instances
representing rationals '''
from constructible import Constructible
from fractions import Fraction as F
from operator import pos, neg
for op in (pos, neg):
with self.subTest(op=op):
for a in [
F(1, 2),
F(-1, 2),
F(12, 25),
F(4, 3), 7, 0, -10,
F(0)
]:
result = op(Constructible(a))
self.assertEqual(result.a, op(a))
self.assertFalse(result.b)
self.assertFalse(result.field)