def test_division(self):
e = Equation()
e.create_division(-1, Element('1/2'))
self.assertEqual(str(e), '1/2 : 1/2')
e = Equation(Element('2/3'))
e.create_division(-1, Element('1/2'))
self.assertEqual(str(e), '1/3 : 1/2')
e = Equation(Element('5/3'))
e.create_division(-1, Element(2))
self.assertEqual(str(e), '3 1/3 : 2')
def test_multiplication(self):
e = Equation()
e.create_multiplication(-1, Element(2))
self.assertEqual(str(e), '1/2 * 2')
e = Equation()
e.create_multiplication(-1, Element(-2))
self.assertEqual(str(e), '(-1/2) * (-2)')
e = Equation(1)
e.create_multiplication(-1, Element(3, 2))
self.assertEqual(str(e), '2/3 * 1 1/2')
e = Equation(1)
e.create_multiplication(-1, Element('-3/2'))
self.assertEqual(str(e), '(-2/3) * (-1 1/2)')
def __init__(self, out=1):
if type(out) is Element:
self.tab = [out]
else:
self.tab = [Element(abs(out))]
if out < 0:
self.tab += ['-']
def complicate(self, m, n, x, y):
z = Element(x, y)
if n == 0:
self.create_sum(m, z)
elif n == 1:
self.create_sub(m, z)
elif n == 2:
self.create_negation(m)
elif n == 3:
self.create_multiplication(m, z)
elif n == 4:
self.create_division(m, z)
def test_complication(self):
e = Equation(1)
for m, n, x, y in [[0, 4, 1, 5], [1, 3, 1, 5], [1, 2, 1, 4]]:
e.complicate(m, n, x, y)
self.assertEqual(str(e), '1/5 : ((-1) * 1/5)')
e = Equation(1)
tab = [[0, 3, 1, 5], [1, 0, 1, 9], [0, 4, 1, 6], [1, 0, 1, 2],
[0, 1, 1, 9], [5, 0, 1, 5], [3, 3, 1, 9], [1, 0, 1, 3]]
for m, n, x, y in tab:
e.complicate(m, n, x, y)
e.tab = e.tab[0][0]
e.tab[1] = Element(1)
self.assertEqual(str(e), '17/18 - (-2/9 + 1/3) : 1')
self.assertEqual(str(e), '17/18 - (-2/9 + 1/3)')
e.tab = e.tab[0]
print(e)
def test_operations(self):
e0, e1 = Element(1), Element(2)
self.assertEqual(e1.a, 2)
self.assertEqual(e1.b, 1)
e2 = e0 / e1
self.assertEqual(e2, Element(1, 2))
e0, e1 = Element(-1), Element(2)
e2 = e0 / e1
self.assertEqual(e2, -Element(1, 2))
e0, e1 = Element('2/3'), Element('4/3')
self.assertEqual(e0 / e1, Element('1/2'))
e0, e2 = Element(1), Element('1/2')
e1 = e0 / e2
self.assertEqual(e1, Element(2))
e0, e2 = Element(1), Element(2)
self.assertEqual(e2, Element(2))
e0 / e2
self.assertEqual(e2, Element(2))
def test_str(self):
x = Element(1, 2)
s = str(x)
self.assertEqual(s, '1/2')
def test_division(self):
self.assertEqual(Element('2/3') / Element('5/7'), Element('14/15'))
def test_multiply(self):
self.assertEqual(Element('2/3') * Element('5/7'), Element('10/21'))
def test_parse(self):
self.assertEqual(Element('1/2'), Element(1, 2))
self.assertEqual(Element('-1/2'), -Element(1, 2))
self.assertEqual(Element('3'), Element(3, 1))
self.assertEqual(Element('-3'), -Element(3, 1))
self.assertEqual(Element('0.5'), Element(1, 2))
self.assertEqual(Element('1.5'), Element(3, 2))
def test_equal(self):
self.assertEqual(Element(1, 2), Element(1, 2))
self.assertEqual(Element(0, 2), Element(0, 3))
self.assertEqual(Element(0, 2), -Element(0, 3))
self.assertEqual(Element(1, 2), Element(2, 4))
self.assertEqual(Element(-1, 2), -Element(1, 2))
def test_subtract(self):
self.assertEqual(str(Element(1, 2) - Element(1, 3)), '1/6')
self.assertEqual(str(Element(1, 3) - Element(1, 2)), '-1/6')
def test_negate(self):
x, y = Element(1, 2, Sign.positive), Element(1, 2, Sign.negative)
self.assertEqual(str(-x), '-1/2')
self.assertEqual(str(-y), '1/2')
self.assertEqual(str(-(-x)), '1/2')
def test_add(self):
x, y = Element(1, 2), Element(1, 3)
z = x + y
self.assertEqual(z.a, 5)
self.assertEqual(z.b, 6)