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 = Expression({'x': 1})
  13         self.y = Expression({'y': 1})
  14         self.z = Expression({'z': 1})
  15         self.zero = Expression(constant=0)
  16         self.one = Expression(constant=1)
  17         self.pi = Expression(constant=Fraction(22, 7))
  18         self.expr = self.x - 2*self.y + 3
  19
  20     def test_new_subclass(self):
  21         self.assertIsInstance(self.x, Symbol)
  22         self.assertIsInstance(self.pi, Constant)
  23         self.assertNotIsInstance(self.x + self.pi, Symbol)
  24         self.assertNotIsInstance(self.x + self.pi, Constant)
  25         xx = Expression({'x': 2})
  26         self.assertNotIsInstance(xx, Symbol)
  27
  28     def test_new_types(self):
  29         with self.assertRaises(TypeError):
  30             Expression('x + y', 2)
  31         self.assertEqual(Expression({'x': 2}), Expression({self.x: 2}))
  32         with self.assertRaises(TypeError):
  33             Expression({0: 2})
  34         with self.assertRaises(TypeError):
  35             Expression({'x': '2'})
  36         self.assertEqual(Expression(constant=1), Expression(constant=self.one))
  37         with self.assertRaises(TypeError):
  38             Expression(constant='1')
  39
  40     def test_symbols(self):
  41         self.assertCountEqual(self.x.symbols, ['x'])
  42         self.assertCountEqual(self.pi.symbols, [])
  43         self.assertCountEqual(self.expr.symbols, ['x', 'y'])
  44
  45     def test_dimension(self):
  46         self.assertEqual(self.x.dimension, 1)
  47         self.assertEqual(self.pi.dimension, 0)
  48         self.assertEqual(self.expr.dimension, 2)
  49
  50     def test_coefficient(self):
  51         self.assertEqual(self.expr.coefficient('x'), 1)
  52         self.assertEqual(self.expr.coefficient('y'), -2)
  53         self.assertEqual(self.expr.coefficient(self.y), -2)
  54         self.assertEqual(self.expr.coefficient('z'), 0)
  55         with self.assertRaises(TypeError):
  56             self.expr.coefficient(0)
  57         with self.assertRaises(TypeError):
  58             self.expr.coefficient(self.expr)
  59
  60     def test_getitem(self):
  61         self.assertEqual(self.expr['x'], 1)
  62         self.assertEqual(self.expr['y'], -2)
  63         self.assertEqual(self.expr[self.y], -2)
  64         self.assertEqual(self.expr['z'], 0)
  65         with self.assertRaises(TypeError):
  66             self.expr[0]
  67         with self.assertRaises(TypeError):
  68             self.expr[self.expr]
  69
  70     def test_coefficients(self):
  71         self.assertCountEqual(self.expr.coefficients(), [('x', 1), ('y', -2)])
  72
  73     def test_constant(self):
  74         self.assertEqual(self.x.constant, 0)
  75         self.assertEqual(self.pi.constant, Fraction(22, 7))
  76         self.assertEqual(self.expr.constant, 3)
  77
  78     def test_isconstant(self):
  79         self.assertFalse(self.x.isconstant())
  80         self.assertTrue(self.pi.isconstant())
  81         self.assertFalse(self.expr.isconstant())
  82
  83     def test_values(self):
  84         self.assertCountEqual(self.expr.values(), [1, -2, 3])
  85
  86     def test_symbol(self):
  87         self.assertEqual(self.x.symbol, 'x')
  88         with self.assertRaises(ValueError):
  89             self.pi.symbol
  90         with self.assertRaises(ValueError):
  91             self.expr.symbol
  92
  93     def test_issymbol(self):
  94         self.assertTrue(self.x.issymbol())
  95         self.assertFalse(self.pi.issymbol())
  96         self.assertFalse(self.expr.issymbol())
  97
  98     def test_bool(self):
  99         self.assertTrue(self.x)
 100         self.assertFalse(self.zero)
 101         self.assertTrue(self.pi)
 102         self.assertTrue(self.expr)
 103
 104     def test_pos(self):
 105         self.assertEqual(+self.expr, self.expr)
 106
 107     def test_neg(self):
 108         self.assertEqual(-self.expr, -self.x + 2*self.y - 3)
 109
 110     def test_add(self):
 111         self.assertEqual(self.x + Fraction(22, 7), self.x + self.pi)
 112         self.assertEqual(Fraction(22, 7) + self.x, self.x + self.pi)
 113         self.assertEqual(self.x + self.x, 2 * self.x)
 114         self.assertEqual(self.expr + 2*self.y, self.x + 3)
 115
 116     def test_sub(self):
 117         self.assertEqual(self.x - self.x, 0)
 118         self.assertEqual(self.expr - 3, self.x - 2*self.y)
 119         self.assertEqual(0 - self.x, -self.x)
 120
 121     def test_mul(self):
 122         self.assertEqual(self.pi * 7, 22)
 123         self.assertEqual(self.expr * 0, 0)
 124         self.assertEqual(0 * self.expr, 0)
 125         self.assertEqual(self.expr * 2, 2*self.x - 4*self.y + 6)
 126
 127     def test_div(self):
 128         with self.assertRaises(ZeroDivisionError):
 129             self.expr / 0
 130         self.assertEqual(self.expr / 2, self.x / 2 - self.y + Fraction(3, 2))
 131
 132     def test_str(self):
 133         self.assertEqual(str(Expression()), '0')
 134         self.assertEqual(str(self.x), 'x')
 135         self.assertEqual(str(-self.x), '-x')
 136         self.assertEqual(str(self.pi), '22/7')
 137         self.assertEqual(str(self.expr), 'x - 2*y + 3')
 138
 139     def test_repr(self):
 140         self.assertEqual(repr(self.x), "Symbol('x')")
 141         self.assertEqual(repr(self.one), 'Constant(1)')
 142         self.assertEqual(repr(self.expr), "Expression({'x': 1, 'y': -2}, 3)")
 143
 144     @unittest.expectedFailure
 145     def test_fromstring(self):
 146         self.assertEqual(Expression.fromstring('x'), self.x)
 147         self.assertEqual(Expression.fromstring('-x'), -self.x)
 148         self.assertEqual(Expression.fromstring('22/7'), self.pi)
 149         self.assertEqual(Expression.fromstring('x - 2y + 3'), self.expr)
 150         self.assertEqual(Expression.fromstring('x - (3-1)y + 3'), self.expr)
 151         self.assertEqual(Expression.fromstring('x - 2*y + 3'), self.expr)
 152
 153     def test_eq(self):
 154         self.assertEqual(self.expr, self.expr)
 155         self.assertNotEqual(self.x, self.y)
 156         self.assertEqual(self.zero, 0)
 157
 158     def test__toint(self):
 159         self.assertEqual((self.x + self.y/2 + self.z/3)._toint(),
 160                 6*self.x + 3*self.y + 2*self.z)
 161
 162
 163 class TestConstant(unittest.TestCase):
 164
 165     pass
 166
 167
 168 class TestSymbol(unittest.TestCase):
 169
 170     def setUp(self):
 171         self.x = Symbol('x')
 172         self.y = Symbol('y')
 173
 174     def test_symbols(self):
 175         self.assertListEqual(list(symbols('x y')), [self.x, self.y])
 176         self.assertListEqual(list(symbols('x,y')), [self.x, self.y])
 177         self.assertListEqual(list(symbols(['x', 'y'])), [self.x, self.y])
 178
 179
 180 class TestOperators(unittest.TestCase):
 181
 182     pass
 183
 184
 185 class TestPolyhedron(unittest.TestCase):
 186
 187     pass