from tests.rulestestcase import RulesTestCase as TestCase class TestLeidenOefenopgaveV12(TestCase): def test_1_a(self): self.assertRewrite([ '-5(x^2 - 3x + 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 - 8)(6xx + (-4)x)', '-(12x - 8)(6x ^ (1 + 1) + (-4)x)', '-(12x - 8)(6x ^ 2 + (-4)x)', '-(12x - 8)(6x ^ 2 - 4x)', '-(12x * 6x ^ 2 + 12x(-4x) + (-8)6x ^ 2 + (-8)(-4x))', '-(72xx ^ 2 + 12x(-4x) + (-8)6x ^ 2 + (-8)(-4x))', '-(72x ^ (1 + 2) + 12x(-4x) + (-8)6x ^ 2 + (-8)(-4x))', '-(72x ^ 3 + 12x(-4x) + (-8)6x ^ 2 + (-8)(-4x))', '-(72x ^ 3 - 12x * 4x + (-8)6x ^ 2 + (-8)(-4x))', '-(72x ^ 3 - 48xx + (-8)6x ^ 2 + (-8)(-4x))', '-(72x ^ 3 - 48x ^ (1 + 1) + (-8)6x ^ 2 + (-8)(-4x))', '-(72x ^ 3 - 48x ^ 2 + (-8)6x ^ 2 + (-8)(-4x))', '-(72x ^ 3 - 48x ^ 2 + (-48)x ^ 2 + (-8)(-4x))', '-(72x ^ 3 - 48x ^ 2 - 48x ^ 2 + (-8)(-4x))', '-(72x ^ 3 - 48x ^ 2 - 48x ^ 2 - 8(-4x))', '-(72x ^ 3 - 48x ^ 2 - 48x ^ 2 - -8 * 4x)', '-(72x ^ 3 - 48x ^ 2 - 48x ^ 2 - -32x)', '-(72x ^ 3 - 48x ^ 2 - 48x ^ 2 + 32x)', '-(72x ^ 3 + (1 + 1)(-48x ^ 2) + 32x)', '-(72x ^ 3 + 2(-48x ^ 2) + 32x)', '-(72x ^ 3 - 2 * 48x ^ 2 + 32x)', '-(72x ^ 3 - 96x ^ 2 + 32x)', '-72x ^ 3 - -96x ^ 2 - 32x', '-72x ^ 3 + 96x ^ 2 - 32x', ]) def test_2_a(self): self.assertRewrite([ '(a ^ 2 * b ^ -1) ^ 3(ab ^ 2)', '(a ^ 2 * 1 / b ^ 1) ^ 3 * ab ^ 2', '(a ^ 2 * 1 / b) ^ 3 * ab ^ 2', '((a ^ 2 * 1) / 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([ 'a^3b^2a^3', 'a ^ (3 + 3)b ^ 2', 'a ^ 6 * b ^ 2', ]) #def test_2_c(self): # self.assertRewrite([ # 'a^5+a^3', # 'a ^ 5 + a ^ 3', # ]) def test_2_d(self): self.assertRewrite([ 'a^2+a^2', '(1 + 1)a ^ 2', '2a ^ 2', ]) def test_2_e(self): self.assertRewrite([ '4b^-2', '4 * 1 / b ^ 2', '(4 * 1) / 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)', ])