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