from tests.rulestestcase import RulesTestCase as TestCase


class TestLeidenOefenopgaveV12(TestCase):
    def test_1_a(self):
        self.assertRewrite([
            '-5(x2 - 3x + 6)',
            '-(5(x ^ 2 - 3x) + 5 * 6)',
            '-(5x ^ 2 + 5(-3x) + 5 * 6)',
            '-(5x ^ 2 - 5 * 3x + 5 * 6)',
            '-(5x ^ 2 - 15x + 5 * 6)',
            '-(5x ^ 2 - 15x + 30)',
            '-5x ^ 2 - -15x - 30',
            '-5x ^ 2 + 15x - 30',
        ])

    def test_1_d(self):
        self.assertRewrite([
            '(2x + x)x',
            '(2 + 1)xx',
            '3xx',
            '3x ^ (1 + 1)',
            '3x ^ 2',
        ])

    def test_1_e(self):
        self.assertRewrite([
            '-2(6x - 4) ^ 2x',
            '-2(6x - 4)(6x - 4)x',
            '-(2 * 6x + 2(-4))(6x - 4)x',
            '-(12x + 2(-4))(6x - 4)x',
            '-(12x - 8)(6x - 4)x',
            '-(12x * 6x + 12x(-4) + (-8)6x + (-8)(-4))x',
            '-(72xx + 12x(-4) + (-8)6x + (-8)(-4))x',
            '-(72x ^ (1 + 1) + 12x(-4) + (-8)6x + (-8)(-4))x',
            '-(72x ^ 2 + 12x(-4) + (-8)6x + (-8)(-4))x',
            '-(72x ^ 2 + (-48)x + (-8)6x + (-8)(-4))x',
            '-(72x ^ 2 - 48x + (-8)6x + (-8)(-4))x',
            '-(72x ^ 2 - 48x + (-48)x + (-8)(-4))x',
            '-(72x ^ 2 - 48x - 48x + (-8)(-4))x',
            '-(72x ^ 2 + (1 + 1)(-48x) + (-8)(-4))x',
            '-(72x ^ 2 + 2(-48x) + (-8)(-4))x',
            '-(72x ^ 2 - 2 * 48x + (-8)(-4))x',
            '-(72x ^ 2 - 96x + (-8)(-4))x',
            '-(72x ^ 2 - 96x - -32)x',
            '-(72x ^ 2 - 96x + 32)x',
            '-(x(72x ^ 2 - 96x) + x * 32)',
            '-(x * 72x ^ 2 + x(-96x) + x * 32)',
            '-(x ^ (1 + 2)72 + x(-96x) + x * 32)',
            '-(x ^ 3 * 72 + x(-96x) + x * 32)',
            '-(x ^ 3 * 72 - x * 96x + x * 32)',
            '-(x ^ 3 * 72 - x ^ (1 + 1)96 + x * 32)',
            '-(x ^ 3 * 72 - x ^ 2 * 96 + x * 32)',
            '-x ^ 3 * 72 - -x ^ 2 * 96 - x * 32',
            '-x ^ 3 * 72 + x ^ 2 * 96 - x * 32',
            '-72x ^ 3 + x ^ 2 * 96 - x * 32',
            '-72x ^ 3 + 96x ^ 2 - x * 32',
            '-72x ^ 3 + 96x ^ 2 - 32x',
        ])

    def test_2_a(self):
        self.assertRewrite([
            '(a2b^-1)^3(ab2)',
            '(a ^ 2 * (1 / b ^ 1)) ^ 3 * ab ^ 2',
            '(a ^ 2 * (1 / b)) ^ 3 * ab ^ 2',
            '(1a ^ 2 / b) ^ 3 * ab ^ 2',
            '(a ^ 2 / b) ^ 3 * ab ^ 2',
            '(a ^ 2) ^ 3 / b ^ 3 * ab ^ 2',
            'a ^ (2 * 3) / b ^ 3 * ab ^ 2',
            'a ^ 6 / b ^ 3 * ab ^ 2',
            'a ^ 6 * a / b ^ 3 * b ^ 2',
            'a ^ (6 + 1) / b ^ 3 * b ^ 2',
            'a ^ 7 / b ^ 3 * b ^ 2',
            'a ^ 7 * b ^ 2 / b ^ 3',
            'b ^ 2 / b ^ 3 * (a ^ 7 / 1)',
            'b ^ (2 - 3)(a ^ 7 / 1)',
            'b ^ (-1)(a ^ 7 / 1)',
            '1 / b ^ 1 * (a ^ 7 / 1)',
            '1 / b * (a ^ 7 / 1)',
            '1 / b * a ^ 7',
            '1a ^ 7 / b',
            'a ^ 7 / b',
        ])

    def test_2_b(self):
        self.assertRewrite([
            'a3b2a3',
            'a ^ (3 + 3)b ^ 2',
            'a ^ 6 * b ^ 2',
        ])

    def test_2_c(self):
        self.assertRewrite([
            'a5+a3',
            'a ^ 5 + a ^ 3',
        ])

    def test_2_d(self):
        self.assertRewrite([
            'a2+a2',
            '(1 + 1)a ^ 2',
            '2a ^ 2',
        ])

    def test_2_e(self):
        self.assertRewrite([
            '4b^-2',
            '4(1 / b ^ 2)',
            '1 * 4 / b ^ 2',
            '4 / b ^ 2',
        ])

    def test_2_f(self):
        self.assertRewrite([
            '(4b) ^ -2',
            '4 ^ (-2)b ^ (-2)',
            '1 / 4 ^ 2 * b ^ (-2)',
            '1 / 16 * b ^ (-2)',
            '1 / 16 * (1 / b ^ 2)',
            '1 * 1 / (16b ^ 2)',
            '1 / (16b ^ 2)',
        ])