trs/tests/test_leiden_oefenopgave.py

from tests.rulestestcase import RulesTestCase as TestCase, rewrite


class TestLeidenOefenopgave(TestCase):
    def test_1_1(self):
        for chain in [['-5(x2 - 3x + 6)', '-5(x ^ 2 - 3x) - 5 * 6',
                       '-5x ^ 2 - 5 * -3x - 5 * 6',
                       '-5x ^ 2 - -15x - 5 * 6',
                       '-5x ^ 2 + 15x - 5 * 6',
                       '-5x ^ 2 + 15x - 30',
                       ],
                     ]:
            self.assertRewrite(chain)

        return

        for exp, solution in [
                ('-5(x2 - 3x + 6)',       '-30 + 15x - 5x ^ 2'),
                ('(x+1)^2',              'x ^ 2 + 2x + 1'),
                ('(x-1)^2',              'x ^ 2 - 2x + 1'),
                ('(2x+x)*x',             '3x ^ 2'),
                ('-2(6x-4)^2*x',         '-72x ^ 3 + 96x ^ 2 + 32x'),
                ('(4x + 5) * -(5 - 4x)', '16x^2 - 25'),
                ]:
            self.assertEqual(str(rewrite(exp)), solution)

    def test_1_2(self):
        self.assertRewrite([
            '(x+1)^3', '(x + 1)(x + 1) ^ 2',
            '(x + 1)(x + 1)(x + 1)',
            '(xx + x * 1 + 1x + 1 * 1)(x + 1)',
            '(x ^ (1 + 1) + x * 1 + 1x + 1 * 1)(x + 1)',
            '(x ^ 2 + x * 1 + 1x + 1 * 1)(x + 1)',
            '(x ^ 2 + x + 1x + 1 * 1)(x + 1)',
            '(x ^ 2 + x + x + 1 * 1)(x + 1)',
            '(x ^ 2 + (1 + 1)x + 1 * 1)(x + 1)',
            '(x ^ 2 + 2x + 1 * 1)(x + 1)',
            '(x ^ 2 + 2x + 1)(x + 1)',
            '(x ^ 2 + 2x)x + (x ^ 2 + 2x)1 + 1x + 1 * 1',
            'xx ^ 2 + x * 2x + (x ^ 2 + 2x)1 + 1x + 1 * 1',
            'x ^ (1 + 2) + x * 2x + (x ^ 2 + 2x)1 + 1x + 1 * 1',
            'x ^ 3 + x * 2x + (x ^ 2 + 2x)1 + 1x + 1 * 1',
            'x ^ 3 + x ^ (1 + 1)2 + (x ^ 2 + 2x)1 + 1x + 1 * 1',
            'x ^ 3 + x ^ 2 * 2 + (x ^ 2 + 2x)1 + 1x + 1 * 1',
            'x ^ 3 + x ^ 2 * 2 + 1x ^ 2 + 1 * 2x + 1x + 1 * 1',
            'x ^ 3 + x ^ 2 * 2 + x ^ 2 + 1 * 2x + 1x + 1 * 1',
            'x ^ 3 + (2 + 1)x ^ 2 + 1 * 2x + 1x + 1 * 1',
            'x ^ 3 + 3x ^ 2 + 1 * 2x + 1x + 1 * 1',
            'x ^ 3 + 3x ^ 2 + 2x + 1x + 1 * 1',
            'x ^ 3 + 3x ^ 2 + 2x + x + 1 * 1',
            'x ^ 3 + 3x ^ 2 + (2 + 1)x + 1 * 1',
            'x ^ 3 + 3x ^ 2 + 3x + 1 * 1',
            'x ^ 3 + 3x ^ 2 + 3x + 1',
        ])

    def test_1_3(self):
        # (x+1)^2 -> x^2 + 2x + 1
        self.assertRewrite([
            '(x+1)^2', '(x + 1)(x + 1)',
            'xx + x * 1 + 1x + 1 * 1',
            'x ^ (1 + 1) + x * 1 + 1x + 1 * 1',
            'x ^ 2 + x * 1 + 1x + 1 * 1',
            'x ^ 2 + x + 1x + 1 * 1',
            'x ^ 2 + x + x + 1 * 1',
            'x ^ 2 + (1 + 1)x + 1 * 1',
            'x ^ 2 + 2x + 1 * 1',
            'x ^ 2 + 2x + 1',
        ])

    def test_1_4(self):
        # (x-1)^2 -> x^2 - 2x + 1
        self.assertRewrite([
            '(x-1)^2', '(x - 1)(x - 1)',
            'xx + x * -1 - 1x - 1 * -1',
            'x ^ (1 + 1) + x * -1 - 1x - 1 * -1',
            'x ^ 2 + x * -1 - 1x - 1 * -1',
            'x ^ 2 - x * 1 - 1x - 1 * -1',
            'x ^ 2 - x - 1x - 1 * -1',
            'x ^ 2 - x - x - 1 * -1',
            'x ^ 2 + (1 + 1) * -x - 1 * -1',
            'x ^ 2 + 2 * -x - 1 * -1',
            'x ^ 2 - 2x - 1 * -1',
            'x ^ 2 - 2x - -1',
            'x ^ 2 - 2x + 1',
        ])

    def test_1_4_1(self):
        self.assertRewrite([
            'x * -1 + 1x',
            '-x * 1 + 1x',
            '-x + 1x',
            '-x + x',
            '(-1 + 1)x',
            '0x',
            '0',
        ])

    def test_1_4_2(self):
        self.assertRewrite([
            'x * -1 - 1x',
            '-x * 1 - 1x',
            '-x - 1x',
            '-x - x',
            '(1 + 1) * -x',
            '2 * -x',
            '-2x',
        ])

    def test_1_4_3(self):
        self.assertRewrite([
            'x * -1 + x * -1',
            '-x * 1 + x * -1',
            '-x + x * -1',
            '-x - x * 1',
            '-x - x',
            '(1 + 1) * -x',
            '2 * -x',
            '-2x',
        ])

    def test_1_5(self):
        self.assertRewrite([
            '(2x + x)x',
            '(2 + 1)xx',
            '3xx',
            '3x ^ (1 + 1)',
            '3x ^ 2',
        ])

    def test_1_7(self):
        self.assertRewrite([
            '(4x + 5) * -(5 - 4x)',
            '(4x + 5)(-5 - -4x)',
            '(4x + 5)(-5 + 4x)',
            '4x * -5 + 4x * 4x + 5 * -5 + 5 * 4x',
            '-20x + 4x * 4x + 5 * -5 + 5 * 4x',
            '-20x + 16xx + 5 * -5 + 5 * 4x',
            '-20x + 16x ^ (1 + 1) + 5 * -5 + 5 * 4x',
            '-20x + 16x ^ 2 + 5 * -5 + 5 * 4x',
            '-20x + 16x ^ 2 - 25 + 5 * 4x',
            '-20x + 16x ^ 2 - 25 + 20x',
            '(-20 + 20)x + 16x ^ 2 - 25',
            '0x + 16x ^ 2 - 25',
            '0 + 16x ^ 2 - 25',
            '16x ^ 2 - 25',
        ])

    def test_2(self):
        pass

    def test_3(self):
        pass

    def test_4_1(self):
        self.assertRewrite([
            '2/15 + 1/4',
            '8 / 60 + 15 / 60',
            '(8 + 15) / 60',
            '23 / 60',
        ])

    def test_4_2(self):
        self.assertRewrite([
            '2/7 - 4/11',
            '22 / 77 - 28 / 77',
            '(22 - 28) / 77',
            '-6 / 77',
        ])

    def test_4_3(self):
        self.assertRewrite([
            '(7/3)(3/5)',
            '7 * 3 / (3 * 5)',
            '21 / (3 * 5)',
            '21 / 15',
            '7 / 5',
        ])

    #def test_4_4(self):
    #    self.assertRewrite(['(3/4) / (5/6)', '9 / 10'])

    def test_4_5(self):
        self.assertRewrite([
            '1/4 * 1/x',
            '1 / 4 / x',
            '1 / (4x)',
        ])

    #def test_4_6(self):
    #    self.assertRewrite(['(3/x^2) / (x/7)', '21 / x^3'])

    #def test_4_7(self):
    #    self.assertRewrite(['1/x + 2/(x+1)', '(3x + 1) / (x * (x + 1))'])