pypol/tests/test_domains.py

   1 import unittest
   2
   3 from ..domains import *
   4 from ..linexprs import Symbol, symbols
   5 from ..polyhedra import *
   6
   7
   8 class TestDomain(unittest.TestCase):
   9
  10     def setUp(self):
  11         x, y = symbols('x y')
  12         self.square1 = Polyhedron(inequalities=[x, 2 - x, y, 2 - y])
  13         self.square2 = Polyhedron(inequalities=[x - 1, 3 - x , y - 1, 3 - y]) #correct representation
  14         self.square3 = Polyhedron(inequalities=[x, 3 - x, y, 3 - y])
  15         self.square4 = Polyhedron(inequalities=[x - 1, 2 - x, y - 1, 2 - y])
  16         self.square5 = Polyhedron(inequalities=[x - 3, 6 - x, y - 3, 6 -y])
  17         self.square6 = Polyhedron(equalities=[3 - y], inequalities=[x - 1, 3 - x, y - 1])
  18         self.unbound_poly = Polyhedron(inequalities=[x, 3 - x, y])
  19         self.universe = Polyhedron([])
  20         self.empty = Empty
  21         self.disjoint = And(Ge(x, 0), Ge(-x + 2, 0), Ge(y, 0), Ge(-y + 2, 0))
  22         self.complement = Or(Ge(-x - 1, 0), Ge(x - 3, 0), And(Ge(x, 0), Ge(-x + 2, 0), Ge(-y - 1, 0)), And(Ge(x, 0), Ge(-x + 2, 0), Ge(y - 3, 0)))
  23         self.hull = And(Ge(x, 0), Ge(-x + 2, 0), Ge(y, 0), Ge(-y + 2, 0))
  24         self.dropped = And(Ge(y, 0), Ge(-y + 2, 0))
  25         self.sample = And(Eq(y - 3, 0), Eq(x - 1, 0))
  26         self.intersection = And(Ge(x - 1, 0), Ge(-x + 2, 0), Ge(y - 1, 0), Ge(-y + 2, 0))
  27         self.union = Or(And(Ge(x, 0), Ge(-x + 2, 0), Ge(y, 0), Ge(-y + 2, 0)), And(Ge(x - 1, 0), Ge(-x + 3, 0), Ge(y - 1, 0), Ge(-y + 3, 0)))
  28         self.sum1 = Or(And(Ge(x, 0), Ge(-x + 2, 0), Ge(y, 0), Ge(-y + 2, 0)), And(Ge(x - 1, 0), Ge(-x + 3, 0), Ge(y - 1, 0), Ge(-y + 3, 0)))
  29         self.sum2 =And(Ge(x, 0), Ge(y, 0), Ge(-y + 3, 0), Ge(-x + 3, 0), Ge(x - y + 2, 0), Ge(-x + y + 2, 0))
  30         self.difference1 = Or(And(Eq(x - 3, 0), Ge(y - 1, 0), Ge(-y + 3, 0)), And(Eq(y - 3, 0), Ge(x - 1, 0), Ge(-x + 2, 0)))
  31         self.difference2 = And(Ge(x + y - 4, 0), Ge(-x + 3, 0), Ge(-y + 3, 0))
  32         self.lexmin = And(Eq(y, 0), Eq(x, 0))
  33         self.lexmax = And(Eq(y - 2, 0), Eq(x - 2, 0))
  34
  35     def test_new(self):
  36         with self.assertRaises(TypeError):
  37             Polyhedron(1)
  38
  39     def test_disjoint(self):
  40         self.assertEqual(self.square1.disjoint(), self.disjoint)
  41
  42     def test_isempty(self):
  43         self.assertFalse(self.square1.isempty())
  44         self.assertTrue(self.empty.isempty())
  45
  46     def test_isuniverse(self):
  47         self.assertFalse(self.square1.isuniverse())
  48         self.assertTrue(self.universe.isuniverse())
  49
  50     def test_isbounded(self):
  51         self.assertTrue(self.square1.isbounded())
  52         self.assertFalse(self.unbound_poly.isbounded())
  53
  54     def test_eq(self):
  55         self.assertTrue(self.square1 == self.square1)
  56         self.assertFalse(self.square1 == self.square2)
  57
  58     def test_isdisjoint(self):
  59         self.assertFalse(self.square1.isdisjoint(self.square2))
  60         self.assertFalse(self.universe.isdisjoint(self.square1))
  61         self.assertTrue(self.square1.isdisjoint(self.square5))
  62         self.assertTrue(self.empty.isdisjoint(self.square1))
  63
  64     def test_issubset(self):
  65         self.assertTrue(self.square4.issubset(self.unbound_poly))
  66         self.assertFalse(self.square1.issubset(self.square2))
  67         self.assertTrue(self.square1.issubset(self.universe))
  68         self.assertTrue(self.empty.issubset(self.square1))
  69
  70     def test_le(self):
  71         self.assertTrue(self.square4 <= self.square3)
  72         self.assertFalse(self.square3 <= self.square4)
  73         self.assertTrue(self.empty <= self.square1)
  74         self.assertTrue(self.square1 <= self.universe)
  75
  76     def test_lt(self):
  77         self.assertTrue(self.square4 < self.square3)
  78         self.assertFalse(self.square3 < self.square4)
  79         self.assertTrue(self.empty < self.square1)
  80         self.assertTrue(self.square1 < self.universe)
  81
  82     def test_complement(self):
  83         self.assertEqual(~self.square1, self.complement)
  84         self.assertEqual(~self.universe, Empty)
  85         self.assertEqual(~self.empty, self.universe)
  86
  87     def test_polyhedral_hull(self):
  88         self.assertEqual(self.square1.polyhedral_hull(), self.hull)
  89         self.assertEqual(self.universe.polyhedral_hull(), self.universe)
  90         self.assertEqual(self.empty.polyhedral_hull(), self.empty)
  91
  92     def test_project_out(self):
  93         self.assertEqual(self.square1.project_out(symbols('x')), self.dropped)
  94         self.assertEqual(self.square1.project_out(symbols('x y')), self.universe)
  95         self.assertEqual(self.universe.project_out([]), self.universe)
  96         self.assertEqual(self.empty.project_out([]), Empty)
  97
  98     def test_simplify(self):
  99         self.assertEqual(self.universe.simplify(), self.universe)
 100         self.assertEqual(self.empty.simplify(), Empty)
 101
 102     def test_sample(self):
 103         self.assertEqual(self.square6.sample(), self.sample)
 104         self.assertEqual(self.empty.sample(), Empty)
 105         self.assertEqual(self.universe.sample(), self.universe)
 106
 107     def test_intersection(self):
 108         self.assertEqual(self.square1.intersection(self.square2), self.intersection)
 109
 110     def test_and(self):
 111         self.assertEqual(self.square2 & self.square1, self.intersection)
 112         self.assertEqual(self.square1 & self.universe, self.square1)
 113         self.assertEqual(self.empty & self.square1, Empty)
 114         self.assertEqual(self.universe & self.universe, self.universe)
 115         self.assertEqual(self.universe & self.empty, Empty)
 116         self.assertEqual(self.empty & self.empty, Empty)
 117
 118     def test_union(self):
 119         self.assertEqual(self.square1.union(self.square2), self.union)
 120         self.assertEqual(self.square1.union(self.empty), self.square1)
 121         self.assertEqual(self.square1.union(self.universe), self.universe)
 122         self.assertEqual(self.universe.union(self.universe), self.universe)
 123         self.assertEqual(self.empty.union(self.empty), self.empty)
 124
 125     def test_or(self):
 126         self.assertEqual(self.square1 | self.square2, self.union)
 127
 128     def test_add(self):
 129         self.assertEqual(self.square2 + self.square1, self.sum1)
 130         self.assertEqual(Polyhedron(self.square1 + self.square2), self.sum2)
 131         self.assertEqual(self.universe + self.square1, self.universe)
 132         self.assertEqual(self.empty + self.square1, self.square1)
 133         self.assertEqual(self.universe + self.universe, self.universe)
 134
 135     def test_difference(self):
 136         self.assertEqual(self.square2 - self.square1, self.difference1)
 137         self.assertEqual(Polyhedron(self.square2 - self.square1), self.difference2)
 138         self.assertEqual(self.square2 - self.square2, Empty)
 139         self.assertEqual(self.universe - self.universe, Empty)
 140
 141     def test_lexmin(self):
 142         self.assertEqual(self.square1.lexmin(), self.lexmin)
 143         self.assertEqual(self.universe.lexmin(), self.universe)
 144         self.assertEqual(self.empty.lexmin(), Empty)
 145
 146     def test_lexmax(self):
 147         self.assertEqual(self.square1.lexmax(), self.lexmax)
 148         self.assertEqual(self.universe.lexmax(), self.universe)
 149         self.assertEqual(self.empty.lexmax(), Empty)