# vim: set fileencoding=utf-8 : import unittest from src.parser import Parser from src.node import ExpressionNode as Node, ExpressionLeaf as Leaf, \ SPECIAL_TOKENS, sin, cos, der, log, ln, integral, indef, absolute from tests.parser import ParserWrapper, run_expressions, line, graph from tests.rulestestcase import tree class TestParser(unittest.TestCase): def test_constructor(self): node = Node('+', Leaf(1), Leaf(4)) self.assertEqual(ParserWrapper(Parser).run(['1 + 4']), node) def test_identifiers(self): run_expressions(Parser, [('a', Leaf('a'))]) def test_graph(self): self.assertEqual(graph(Parser, '4a'), (""" * ╭┴╮ 4 a """).replace('\n ', '\n')[1:-1]) def test_line(self): self.assertEqual(line(Parser, '4-a'), '4 - a') def test_reset_after_failure(self): parser = ParserWrapper(Parser) parser.run(['-(3a+6b)']) possibilities1 = parser.parser.possibilities self.assertNotEqual(possibilities1, []) parser.run(['5+2*6']) possibilities2 = parser.parser.possibilities self.assertNotEqual(possibilities2, []) self.assertNotEqual(possibilities1, possibilities2) def test_binary(self): a, b, c = tree('a, b, c') self.assertEqual(tree('a ^^ b'), a & b) self.assertEqual(tree('a vv b'), a | b) self.assertEqual(tree('a vv b vv c'), (a | b) | c) self.assertEqual(tree('a vv b ^^ c'), a | (b & c)) def test_preprocessor(self): self.assertEqual(tree('ab'), tree('a * b')) self.assertEqual(tree('abc'), tree('a * b * c')) self.assertEqual(tree('a2'), tree('a ^ 2')) self.assertEqual(tree('a 2'), tree('a * 2')) self.assertEqual(tree('2a'), tree('2 * a')) self.assertEqual(tree('2(a + b)'), tree('2 * (a + b)')) self.assertEqual(tree('(a + b)2'), tree('(a + b) * 2')) self.assertEqual(tree('(a)(b)'), tree('(a) * (b)')) self.assertEqual(tree('(a)[b]\''), tree('(a) * [b]\'')) # FIXME: self.assertEqual(tree('(a)|b|'), tree('(a) * |b|')) # FIXME: self.assertEqual(tree('|a|(b)'), tree('|a| * (b)')) # FIXME: self.assertEqual(tree('a|b|'), tree('a * |b|')) # FIXME: self.assertEqual(tree('|a|b'), tree('|a| * b')) def test_functions(self): x = tree('x') self.assertEqual(tree('sin x'), sin(x)) self.assertEqual(tree('sin 2 x'), sin(2) * x) # FIXME: correct? self.assertEqual(tree('sin x ^ 2'), sin(x ** 2)) self.assertEqual(tree('sin(x) ^ 2'), sin(x) ** 2) self.assertEqual(tree('sin(x ^ 2)'), sin(x ** 2)) self.assertEqual(tree('sin cos x'), sin(cos(x))) self.assertEqual(tree('sin cos x ^ 2'), sin(cos(x ** 2))) self.assertEqual(tree('sin cos(x) ^ 2'), sin(cos(x) ** 2)) def test_bracket_derivative(self): x = tree('x') self.assertEqual(tree('[x]\''), der(x)) self.assertEqual(tree('[x]\'\''), der(der(x))) def test_delta_derivative(self): exp, x, d = tree('x ^ 2, x, d') self.assertEqual(tree('d/dx x ^ 2'), der(exp, x)) self.assertEqual(tree('d / dx x ^ 2'), der(exp, x)) self.assertEqual(tree('d/dx x ^ 2 + x'), der(exp + x, x)) self.assertEqual(tree('(d/dx x ^ 2) + x'), der(exp, x) + x) self.assertEqual(tree('d/d'), d / d) # FIXME: self.assertEqual(tree('d(x ^ 2)/dx'), der(exp, x)) def test_logarithm(self): x, g = tree('x, g') self.assertEqual(tree('log(x, e)'), ln(x)) self.assertEqual(tree('log(x, 10)'), log(x)) self.assertEqual(tree('log(x, 2)'), log(x, 2)) self.assertEqual(tree('log(x, g)'), log(x, g)) self.assertEqual(tree('log_2(x)'), log(x, 2)) self.assertEqual(tree('log_10(x)'), log(x)) self.assertEqual(tree('log_g(x)'), log(x, g)) self.assertEqual(tree('log_g x'), log(x, g)) def test_special_tokens(self): for token in SPECIAL_TOKENS: self.assertEqual(tree(token), Leaf(token)) a, t = Leaf('a'), Leaf(token) self.assertEqual(tree('a' + token), a * t) # FIXME: self.assertEqual(tree('a' + token + 'a'), a * t * a) def test_integral(self): x, y, dx, a, b, l2 = tree('x, y, dx, a, b, 2') self.assertEqual(tree('int x'), integral(x, x)) self.assertEqual(tree('int x2'), integral(x ** 2, x)) self.assertEqual(tree('int x2 dx'), integral(x ** 2, x)) self.assertEqual(tree('int x2 dy'), integral(x ** 2, y)) self.assertEqual(tree('int_a^b x2'), integral(x ** 2, x, a, b)) self.assertEqual(tree('int_a^b x2 dy'), integral(x ** 2, y, a, b)) self.assertEqual(tree('int_(a-b)^(a+b) x2'), integral(x ** 2, x, a - b, a + b)) self.assertEqual(tree('int_a^b 2x'), integral(l2 * x, x, a, b)) self.assertEqual(tree('int_a^b2 x'), integral(x, x, a, b ** 2)) def test_indefinite_integral(self): x2, a, b = tree('x ^ 2, a, b') self.assertEqual(tree('[x ^ 2]_a^b'), indef(x2, a, b)) def test_absolute_value(self): x = tree('x') self.assertEqual(tree('|x|'), absolute(x)) self.assertEqual(tree('|x2|'), absolute(x ** 2))