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tests.py
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"""
Unit tests for the AST calculator.
"""
import decimal
import random
import unittest
import sympy
from calculator import Calculator
from common import EvaluationException
def evaluate(eqtn: str, tpe='infix', verbose=True):
if verbose:
print(eqtn)
calc = Calculator()
res = calc.evaluate(eqtn, tpe, verbose)
if verbose:
print(res, '\n' + '-' * 50)
return res.value
class InvalidEquationTests(unittest.TestCase):
def runTest(self):
with self.assertRaises(Exception):
evaluate('$')
with self.assertRaises(Exception):
evaluate('1 +')
with self.assertRaises(Exception):
evaluate('1 * / 2')
class AdditionTests(unittest.TestCase):
def runTest(self):
self.assertEqual(evaluate('1 + 2'), 3.0)
self.assertEqual(evaluate('2 + 3'), 5.0)
class SubtractionTests(unittest.TestCase):
def runTest(self):
self.assertEqual(evaluate('1 - 2'), -1.0)
self.assertEqual(evaluate('3 - 2'), 1.0)
self.assertEqual(evaluate('-2'), -2.0)
self.assertEqual(evaluate('-2 + 1'), -1.0)
self.assertEqual(evaluate('1 + -2'), -1.0)
class MultiplicationTests(unittest.TestCase):
def runTest(self):
self.assertEqual(evaluate('1 * 1'), 1.0)
self.assertEqual(evaluate('2 * 3'), 6.0)
self.assertEqual(evaluate('-2 * -2'), 4.0)
self.assertEqual(evaluate('(2 * 3) (2 * 3)'), 36.0)
class DivisionTests(unittest.TestCase):
def runTest(self):
self.assertEqual(evaluate('1 / 1'), 1.0)
self.assertEqual(evaluate('24 / 4 / 6'), 1.0)
self.assertEqual(round(evaluate('2 / 3'), 3), 0.667)
self.assertEqual(evaluate('112 / 2 / 4 / 7'), 2.0)
self.assertEqual(evaluate('4 % 3'), 1.0)
class PowerTests(unittest.TestCase):
def runTest(self):
self.assertEqual(evaluate('2 ^ 3'), 8.0)
self.assertEqual(evaluate('2 ^ 2 ^ 2 ^ 2'), 65536.0)
class ParenthesisTests(unittest.TestCase):
def runTest(self):
self.assertEqual(evaluate('(1 + 2) * 3'), 9.0)
self.assertEqual(evaluate('(1 + 2) ^ (2 * 3 - 2)'), 81.0)
self.assertEqual(evaluate('2 (1 + 1)'), 4.0)
class IdentifierTests(unittest.TestCase):
def runTest(self):
pass
self.assertEqual(evaluate('r = 10; r'), 10.0)
self.assertEqual(round(evaluate('r = 5.2 * (3 + 2 / (1 + 1/6)); pi = 3.14159; area = pi * r^2; area'), 5), 1887.93915)
self.assertEqual(round(evaluate('area = pi * r^2; r = 5.2 * (3 + 2 / (1 + 1/6)); pi = 3.14159; area'), 5), 1887.93915)
class OperationTests(unittest.TestCase):
def runTest(self):
self.assertEqual(evaluate('sqrt(4)'), 2.0)
self.assertEqual(evaluate('sqrt(8 + 1)'), 3.0)
self.assertEqual(evaluate('sqrt((4 * 5 - 1) % 10)'), 3.0)
self.assertEqual(round(evaluate('exp(3)'), 5), 20.08554)
class CombinationTests(unittest.TestCase):
def runTest(self):
self.assertEqual(evaluate('1 + 2 * 3 + 4 * 5'), 27)
self.assertEqual(evaluate('10 ^ 2 - 2 ^ 3 + 3 * 2 ^ 4'), 140.0)
self.assertEqual(evaluate('1 + 2 - 3 ^ 4 * 5'), -402.0)
self.assertEqual(evaluate('2 ^ 2 * 3 ^ 2'), 36.0)
self.assertEqual(evaluate('a = 2; b = 3; 3*(2 + a + 5*b*2 + 3)'), 111.0)
class MatrixTests(unittest.TestCase):
def runTest(self):
rnd = lambda e: round(e, 5)
more_zeroes = lambda n: n if n <= 75 else 0
for r_dim in range(3, 4):
print(r_dim)
self.assertTrue(sympy.Matrix(evaluate('identity({})'.format(r_dim), False)).equals(sympy.Identity(r_dim)))
for _ in range(5):
print(_)
mat = [[more_zeroes(random.randint(0, 100)) for _ in range(r_dim)] for _ in range(r_dim)]
mat_str = '[' + '|'.join([','.join(map(str, line)) for line in mat]) + ']'
sym_mat = sympy.Matrix(mat)
rref = sym_mat.rref()[0]
if not rref.equals(sympy.Identity(r_dim)):
print('rref not identity!', rref)
try:
self.assertTrue(decimal.Context(prec=10).create_decimal(float(evaluate('det({})'.format(mat_str), False))) == decimal.Context(prec=10).create_decimal(float(sym_mat.det())))
self.assertTrue(
sympy.Matrix(evaluate('trans({})'.format(mat_str), False)).equals(sym_mat.transpose()))
self.assertTrue(sympy.Matrix(evaluate('inv({})'.format(mat_str), False)).applyfunc(rnd).equals(
sym_mat.inv().evalf().applyfunc(rnd)))
self.assertTrue(
sympy.Matrix(evaluate('cof({})'.format(mat_str), False)).equals(sym_mat.cofactor_matrix()))
self.assertTrue(sympy.Matrix(evaluate('rref({})'.format(mat_str), False)).equals(rref))
self.assertTrue(sympy.Matrix(evaluate('trnsform({})'.format(mat_str), False)).multiply(sym_mat).evalf().applyfunc(rnd).equals(rref.evalf().applyfunc(rnd)))
# TODO: trnsform doesn't work.
except AssertionError:
print('FAILED')
print('matrix', sym_mat)
print('det', sym_mat.det())
print('trans', sym_mat.transpose())
print('inv', sym_mat.inv().evalf())
print('cof', sym_mat.cofactor_matrix())
print('rref', rref)
print('----')
print('det', evaluate('det({})'.format(mat_str), False))
print('trans', evaluate('trans({})'.format(mat_str), False))
print('inv', evaluate('inv({})'.format(mat_str), False))
print('cof', evaluate('cof({})'.format(mat_str), False))
print('rref', evaluate('rref({})'.format(mat_str), False))
print('trnsform', evaluate('trnsform({})'.format(mat_str), False))
print('trnsform * matrix', sympy.Matrix(evaluate('trnsform({})'.format(mat_str), False)).multiply(sym_mat))
print('trnsform * matrix with rounding',
sympy.Matrix(evaluate('trnsform({})'.format(mat_str), False)).multiply(sym_mat).evalf().applyfunc(rnd))
raise
except EvaluationException as e:
print(e)
pass
class RandomTests(unittest.TestCase):
def runTest(self):
for _ in range(100):
eqtn = ''
for i in range(10):
eqtn += '{} {} '.format(random.randint(1, 100), random.choice(('+', '-', '*', '/', '%')))
eqtn = eqtn.strip()[:-2]
self.assertEqual(evaluate(eqtn), eval(eqtn))
if __name__ == '__main__':
unittest.main()