def test_main_constructor():
assert A.numerator / A.denominator == 0.5
assert Rational(2) == Rational(2, 1)
# Ensure denominator always positive
assert A.denominator > 0 and A1.denominator > 0 and A2.denominator > 0 and A3.denominator > 0
flag = False
try:
err = Rational(1, 0)
except ZeroDivisionError:
flag = True
assert flag == True
def test_power():
assert A**2 == Rational(1, 4)
assert A**0 == 1
assert A**-1 == 2
assert A**-3 == 8
def test_division():
assert A / B == Rational(3, 2)
assert A / 2 == Rational(1, 4)
assert 2 / A == 4
def test_multiplication():
assert A * B == Rational(1, 6)
assert B * A == A * B
assert 2 * A == 1
assert 2 * A == A * 2
def test_subtraction():
assert A - B == Rational(1, 6)
assert A - 1 == Rational(-1, 2)
assert 1 - A == Rational(1, 2)
def test_addition():
assert A + B == Rational(5, 6)
assert A + B == B + A
assert 1 + A == Rational(3, 2)
assert A + 1 == 1 + A
def test_eq():
assert A == A
assert Rational(2, 1) == 2
def test_from_str():
assert Rational.from_str("1/2") == A
def test_ipow():
a = A
a **= 4
assert a == Rational(1, 16)
"""
Tests for Rational numbers defined by the class.
"""
from numtheory.types.Rational import Rational
#############
# Test Data #
#############
A = Rational(1, 2) #Half
B = Rational(1, 3) #Third
A1 = Rational(-1, 2)
A2 = Rational(1, -2)
A3 = Rational(-1, -2)
#####################
# Test Constructors #
#####################
def test_main_constructor():
assert A.numerator / A.denominator == 0.5
assert Rational(2) == Rational(2, 1)