def test_2nd_degree_positive_disc(self):
leftside, rightside = parse_equation(
"5 * X^0 + 4 * X^1 - 9.3 * X^2 = 1 * X^0")
expect_leftside = [('5*X^0', '5', '0', ''), ('+4*X^1', '+4', '1', ''),
('-9.3*X^2', '-9.3', '2', '')]
expect_rightside = [('1*X^0', '1', '0', '')]
self.assertEqual(leftside, expect_leftside)
self.assertEqual(rightside, expect_rightside)
# make list of terms
leftside = fill_terms(leftside)
rightside = fill_terms(rightside)
expect_leftside = [Term(5, 0), Term(4, 1), Term(-9.3, 2)]
expect_rightside = [Term(1, 0)]
self.assertEquationSideEquals(leftside, expect_leftside)
self.assertEquationSideEquals(rightside, expect_rightside)
#simplify equation
leftside, rightside, poly_degree = simplify_equation(
leftside, rightside)
expect_poly_degree = 2
expect_leftside = [Term(4, 0, True, False), Term(4, 1), Term(-9.3, 2)]
expect_rightside = [Term(0, 0, True, False)]
self.assertEqual(poly_degree, expect_poly_degree)
self.assertEquationSideEquals(leftside, expect_leftside)
self.assertEquationSideEquals(rightside, expect_rightside)
def test_2nd_degree_positive_disc_natural_format(self):
leftside, rightside = parse_equation("x^2-7x+12=2")
expect_leftside = [('x^2', '', '2', ''), ('-7x', '-7', '', ''),
('', '', '', '+12')]
expect_rightside = [('', '', '', '2')]
self.assertEqual(leftside, expect_leftside)
self.assertEqual(rightside, expect_rightside)
# make list of terms
leftside = fill_terms(leftside)
rightside = fill_terms(rightside)
expect_leftside = [Term(1, 2), Term(-7, 1), Term(12, 0)]
expect_rightside = [Term(2, 0)]
self.assertEquationSideEquals(leftside, expect_leftside)
self.assertEquationSideEquals(rightside, expect_rightside)
#simplify equation
leftside, rightside, poly_degree = simplify_equation(
leftside, rightside)
expect_poly_degree = 2
expect_leftside = [Term(10, 0, True, False), Term(-7, 1), Term(1, 2)]
expect_rightside = [Term(0, 0, True, False)]
self.assertEqual(poly_degree, expect_poly_degree)
self.assertEquationSideEquals(leftside, expect_leftside)
self.assertEquationSideEquals(rightside, expect_rightside)
def test_5th_degree(self):
leftside, rightside = parse_equation("x^5-7x+12=2")
expect_leftside = [('x^5', '', '5', ''), ('-7x', '-7', '', ''),
('', '', '', '+12')]
expect_rightside = [('', '', '', '2')]
self.assertEqual(leftside, expect_leftside)
self.assertEqual(rightside, expect_rightside)
# make list of terms
leftside = fill_terms(leftside)
rightside = fill_terms(rightside)
expect_leftside = [Term(1, 5), Term(-7, 1), Term(12, 0)]
expect_rightside = [Term(2, 0)]
self.assertEquationSideEquals(leftside, expect_leftside)
self.assertEquationSideEquals(rightside, expect_rightside)
#simplify equation
leftside, rightside, poly_degree = simplify_equation(
leftside, rightside)
expect_poly_degree = 5
expect_leftside = [
Term(10, 0, True, False),
Term(-7, 1),
Term(0, 2, True, True),
Term(1, 5)
]
expect_rightside = [Term(0, 0, True, False)]
self.assertEqual(poly_degree, expect_poly_degree)
self.assertEquationSideEquals(leftside, expect_leftside)
self.assertEquationSideEquals(rightside, expect_rightside)
def test_2nd_degree_negative_disc(self):
leftside, rightside = parse_equation("9*x^2+2x+1=0")
expect_leftside = [('9*x^2', '9', '2', ''), ('+2x', '+2', '', ''),
('', '', '', '+1')]
expect_rightside = [('', '', '', '0')]
self.assertEqual(leftside, expect_leftside)
self.assertEqual(rightside, expect_rightside)
# make list of terms
leftside = fill_terms(leftside)
rightside = fill_terms(rightside)
expect_leftside = [Term(9, 2), Term(2, 1), Term(1, 0)]
expect_rightside = [Term(0, 0)]
self.assertEquationSideEquals(leftside, expect_leftside)
self.assertEquationSideEquals(rightside, expect_rightside)
#simplify equation
leftside, rightside, poly_degree = simplify_equation(
leftside, rightside)
expect_poly_degree = 2
expect_leftside = [Term(1, 0, True, False), Term(2, 1), Term(9, 2)]
expect_rightside = [Term(0, 0, True, False)]
self.assertEqual(poly_degree, expect_poly_degree)
self.assertEquationSideEquals(leftside, expect_leftside)
self.assertEquationSideEquals(rightside, expect_rightside)
def test_1st_degree_natural_format(self):
leftside, rightside = parse_equation("5 + 4 * X + X^2 = X2")
expect_leftside = [('', '', '', '5'), ('+4*X', '+4', '', ''),
('X^2', '', '2', '')]
expect_rightside = [('X2', '', '2', '')]
# same parsed values
self.assertEqual(leftside, expect_leftside)
self.assertEqual(rightside, expect_rightside)
# make list of terms
leftside = fill_terms(leftside)
rightside = fill_terms(rightside)
expect_leftside = [Term(5, 0), Term(4, 1), Term(1, 2)]
expect_rightside = [Term(1, 2.0)]
self.assertEquationSideEquals(leftside, expect_leftside)
self.assertEquationSideEquals(rightside, expect_rightside)
#simplify equation
leftside, rightside, poly_degree = simplify_equation(
leftside, rightside)
expect_poly_degree = 1
expect_leftside = [
Term(5, 0, True, False),
Term(4, 1),
Term(0, 2, True, True)
]
expect_rightside = [Term(0, 0, True, False)]
self.assertEqual(poly_degree, expect_poly_degree)
self.assertEquationSideEquals(leftside, expect_leftside)
self.assertEquationSideEquals(rightside, expect_rightside)
def test_1st_degree_long_format(self):
leftside, rightside = parse_equation("5 * X^0 + 4 * X^1 = 4 * X^0")
expect_leftside = [('5*X^0', '5', '0', ''), ('+4*X^1', '+4', '1', '')]
expect_rightside = [('4*X^0', '4', '0', '')]
self.assertEqual(leftside, expect_leftside)
self.assertEqual(rightside, expect_rightside)
# make list of terms
leftside = fill_terms(leftside)
rightside = fill_terms(rightside)
expect_leftside = [Term(5, 0), Term(4, 1)]
expect_rightside = [Term(4, 0)]
self.assertEquationSideEquals(leftside, expect_leftside)
self.assertEquationSideEquals(rightside, expect_rightside)
#simplify equation
leftside, rightside, poly_degree = simplify_equation(
leftside, rightside)
expect_poly_degree = 1
expect_leftside = [
Term(1, 0, True, False),
Term(4, 1),
Term(0, 2, True, True)
]
expect_rightside = [Term(0, 0, True, False)]
self.assertEqual(poly_degree, expect_poly_degree)
self.assertEquationSideEquals(leftside, expect_leftside)
self.assertEquationSideEquals(rightside, expect_rightside)