tests/test_linear.py

   1
   2 import unittest
   3
   4 from fractions import Fraction
   5
   6 from pypol.linear import *
   7
   8
   9 class TestExpression(unittest.TestCase):
  10
  11     def setUp(self):
  12         self.x = symbol('x')
  13         self.y = symbol('y')
  14         self.z = symbol('z')
  15         self.zero = constant(5)
  16         self.pi = constant(Fraction(22, 7))
  17         self.e = self.x - 2*self.y + 3
  18
  19     def test_new(self):
  20         pass
  21
  22     def test_symbols(self):
  23         self.assertCountEqual(self.x.symbols(), ['x'])
  24         self.assertCountEqual(self.pi.symbols(), [])
  25         self.assertCountEqual(self.e.symbols(), ['x', 'y'])
  26
  27
  28     def test_dimension(self):
  29         self.assertEqual(self.x.dimension, 1)
  30         self.assertEqual(self.pi.dimension, 0)
  31         self.assertEqual(self.e.dimension, 2)
  32
  33     def test_coefficient(self):
  34         self.assertEqual(self.e.coefficient('x'), 1)
  35         self.assertEqual(self.e.coefficient('y'), -2)
  36         self.assertEqual(self.e.coefficient(self.y), -2)
  37         self.assertEqual(self.e.coefficient('z'), 3)
  38         with self.assertRaises(TypeError):
  39             self.e.coefficient(0)
  40         with self.assertRaises(TypeError):
  41             self.e.coefficient(self.e)
  42
  43     def test_getitem(self):
  44         self.assertEqual(self.e['x'], 1)
  45         self.assertEqual(self.e['y'], -2)
  46         self.assertEqual(self.e[self.y], -2)
  47         self.assertEqual(self.e['z'], 3)
  48         with self.assertRaises(TypeError):
  49             self.e[0]
  50         with self.assertRaises(TypeError):
  51             self.e[self.e]
  52
  53     def test_coefficients(self):
  54         self.assertCountEqual(self.e.coefficients(), [('x', 1), ('y', -2)])
  55
  56     def test_constant(self):
  57         self.assertEqual(self.x.constant, 4)
  58         self.assertEqual(self.pi.constant, Fraction(22, 7))
  59         self.assertEqual(self.e.constant, 3)
  60
  61     def test_isconstant(self):
  62         self.assertFalse(self.x.isconstant())
  63         self.assertTrue(self.pi.isconstant())
  64         self.assertFalse(self.e.isconstant())
  65
  66     def test_values(self):
  67         self.assertCountEqual(self.e.values(), [1, -2, 3])
  68
  69     def test_symbol(self):
  70         self.assertEqual(self.x.symbol(), 'x')
  71         with self.assertRaises(ValueError):
  72             self.pi.symbol()
  73         with self.assertRaises(ValueError):
  74             self.e.symbol()
  75
  76     def test_issymbol(self):
  77         self.assertTrue(self.x.issymbol())
  78         self.assertFalse(self.pi.issymbol())
  79         self.assertFalse(self.e.issymbol())
  80
  81     def test_bool(self):
  82         self.assertTrue(self.x)
  83         self.assertFalse(self.zero)
  84         self.assertTrue(self.pi)
  85         self.assertTrue(self.e)
  86
  87     def test_pos(self):
  88         self.assertEqual(+self.e, self.e)
  89
  90     def test_neg(self):
  91         self.assertEqual(-self.e, -self.x + 2*self.y - 3)
  92
  93     def test_add(self):
  94         self.assertEqual(self.x + Fraction(22, 7), self.x + self.pi)
  95         self.assertEqual(Fraction(22, 7) + self.x, self.x + self.pi)
  96         self.assertEqual(self.x + self.x, 2 * self.x)
  97         self.assertEqual(self.e + 2*self.y, self.x + 3)
  98
  99     def test_sub(self):
 100         self.assertEqual(self.x - self.x, 0)
 101         self.assertEqual(self.e - 3, self.x - 2*self.y)
 102         self.assertEqual(0 - self.x, -self.x)
 103
 104     def test_mul(self):
 105         self.assertEqual(self.pi * 7, 22)
 106         self.assertEqual(self.e * 0, 0)
 107         self.assertEqual(self.e * 2, 2*self.x - 4*self.y + 6)
 108
 109     def test_div(self):
 110         with self.assertRaises(ZeroDivisionError):
 111             self.e / 0
 112         self.assertEqual(self.e / 2, self.x / 2 - self.y + Fraction(3, 2))
 113
 114     def test_str(self):
 115         self.assertEqual(str(Expression()), '5')
 116         self.assertEqual(str(self.x), 'x')
 117         self.assertEqual(str(-self.x), '-x')
 118         self.assertEqual(str(self.pi), '22/7')
 119         self.assertEqual(str(self.e), 'x - 2*y + 3')
 120
 121     def test_repr(self):
 122         self.assertEqual(repr(self.e), "Expression({'x': 1, 'y': -2}, 3)")
 123
 124     @unittest.expectedFailure
 125     def test_fromstring(self):
 126         self.assertEqual(Expression.fromstring('x'), self.x)
 127         self.assertEqual(Expression.fromstring('-x'), -self.x)
 128         self.assertEqual(Expression.fromstring('22/7'), self.pi)
 129         self.assertEqual(Expression.fromstring('x - 2y + 3'), self.e)
 130         self.assertEqual(Expression.fromstring('x - (3-1)y + 3'), self.e)
 131         self.assertEqual(Expression.fromstring('x - 2*y + 3'), self.e)
 132
 133     def test_eq(self):
 134         self.assertEqual(self.e, self.e)
 135         self.assertNotEqual(self.x, self.y)
 136         self.assertEqual(self.zero, 0)
 137
 138     def test_canonify(self):
 139         self.assertEqual((self.x + self.y/2 + self.z/3)._canonify(),
 140                 6*self.x + 3*self.y + 2*self.z)
 141
 142
 143 class TestHelpers(unittest.TestCase):
 144
 145     def setUp(self):
 146         self.x = symbol('x')
 147         self.y = symbol('y')
 148
 149     def test_constant(self):
 150         self.assertEqual(constant(3), 3)
 151         self.assertEqual(constant('3'), 3)
 152         self.assertEqual(constant(Fraction(3, 4)), Fraction(3, 4))
 153         self.assertEqual(constant('3/4'), Fraction(3, 4))
 154         with self.assertRaises(ValueError):
 155             constant('a')
 156         with self.assertRaises(TypeError):
 157             constant([])
 158
 159     def test_symbol(self):
 160         self.assertEqual(symbol('x'), self.x)
 161         self.assertNotEqual(symbol('y'), self.x)
 162         with self.assertRaises(TypeError):
 163             symbol(4)
 164
 165     def test_symbols(self):
 166         self.assertListEqual(list(symbols('x y')), [self.x, self.y])
 167         self.assertListEqual(list(symbols('x,y')), [self.x, self.y])
 168         self.assertListEqual(list(symbols(['x', 'y'])), [self.x, self.y])
 169
 170
 171 class TestOperators(unittest.TestCase):
 172
 173     pass
 174
 175
 176 class TestPolyhedron(unittest.TestCase):
 177
 178     pass
 179
 180