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.intersection = And(Ge(x - 1, 0), Ge(-x + 2, 0), Ge(y - 1, 0), Ge(-y + 2, 0))
  26         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)))
  27         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)))
  28         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))
  29         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)))
  30         self.difference2 = And(Ge(x + y - 4, 0), Ge(-x + 3, 0), Ge(-y + 3, 0))
  31         self.lexmin = And(Eq(y, 0), Eq(x, 0))
  32         self.lexmax = And(Eq(y - 2, 0), Eq(x - 2, 0))
  33
  34     def test_new(self):
  35         with self.assertRaises(TypeError):
  36             Polyhedron(1)
  37
  38     def test_disjoint(self):
  39         self.assertEqual(self.square1.disjoint(), self.disjoint)
  40         self.assertEqual(self.empty.disjoint(), Empty)
  41         self.assertEqual(self.universe.disjoint(), self.universe)
  42
  43     def test_isempty(self):
  44         self.assertFalse(self.square1.isempty())
  45         self.assertTrue(self.empty.isempty())
  46         self.assertFalse(self.universe.isempty())
  47
  48     def test_isuniverse(self):
  49         self.assertFalse(self.square1.isuniverse())
  50         self.assertTrue(self.universe.isuniverse())
  51
  52     def test_isbounded(self):
  53         self.assertTrue(self.square1.isbounded())
  54         self.assertFalse(self.unbound_poly.isbounded())
  55
  56     def test_eq(self):
  57         self.assertTrue(self.square1 == self.square1)
  58         self.assertFalse(self.square1 == self.square2)
  59         self.assertFalse(self.empty == self.universe)
  60
  61     def test_isdisjoint(self):
  62         self.assertFalse(self.square1.isdisjoint(self.square2))
  63         self.assertFalse(self.universe.isdisjoint(self.square1))
  64         self.assertTrue(self.square1.isdisjoint(self.square5))
  65         self.assertTrue(self.empty.isdisjoint(self.square1))
  66
  67     def test_issubset(self):
  68         self.assertTrue(self.square4.issubset(self.unbound_poly))
  69         self.assertFalse(self.square1.issubset(self.square2))
  70         self.assertTrue(self.square1.issubset(self.universe))
  71         self.assertTrue(self.empty.issubset(self.square1))
  72
  73     def test_le(self):
  74         self.assertTrue(self.square4 <= self.square3)
  75         self.assertFalse(self.square3 <= self.square4)
  76         self.assertTrue(self.empty <= self.square1)
  77         self.assertTrue(self.square1 <= self.universe)
  78
  79     def test_lt(self):
  80         self.assertTrue(self.square4 < self.square3)
  81         self.assertFalse(self.square3 < self.square4)
  82         self.assertTrue(self.empty < self.square1)
  83         self.assertTrue(self.square1 < self.universe)
  84
  85     def test_complement(self):
  86         self.assertEqual(~self.square1, self.complement)
  87         self.assertEqual(~self.universe, Empty)
  88         self.assertEqual(~self.empty, self.universe)
  89
  90     def test_aspolyhedron(self):
  91         self.assertEqual(self.square1.aspolyhedron(), self.hull)
  92         self.assertEqual(self.universe.aspolyhedron(), self.universe)
  93         self.assertEqual(self.empty.aspolyhedron(), self.empty)
  94
  95     def test_project(self):
  96         self.assertEqual(self.square1.project(symbols('x')), self.dropped)
  97         self.assertEqual(self.square1.project(symbols('x y')), self.universe)
  98         self.assertEqual(self.universe.project([]), self.universe)
  99         self.assertEqual(self.empty.project([]), Empty)
 100
 101     def test_simplify(self):
 102         self.assertEqual(self.universe.simplify(), self.universe)
 103         self.assertEqual(self.empty.simplify(), Empty)
 104
 105     def test_sample(self):
 106         self.assertEqual(self.square6.sample(), {Symbol('x'): 1, Symbol('y'): 3})
 107         self.assertEqual(self.empty.sample(), None)
 108         self.assertEqual(self.universe.sample(), {})
 109
 110     def test_intersection(self):
 111         self.assertEqual(self.square1.intersection(self.square2), self.intersection)
 112
 113     def test_and(self):
 114         self.assertEqual(self.square2 & self.square1, self.intersection)
 115         self.assertEqual(self.square1 & self.universe, self.square1)
 116         self.assertEqual(self.empty & self.square1, Empty)
 117         self.assertEqual(self.universe & self.universe, self.universe)
 118         self.assertEqual(self.universe & self.empty, Empty)
 119         self.assertEqual(self.empty & self.empty, Empty)
 120
 121     def test_union(self):
 122         self.assertEqual(self.square1.union(self.square2), self.union)
 123         self.assertEqual(self.square1.union(self.empty), self.square1)
 124         self.assertEqual(self.square1.union(self.universe), self.universe)
 125         self.assertEqual(self.universe.union(self.universe), self.universe)
 126         self.assertEqual(self.empty.union(self.empty), self.empty)
 127
 128     def test_or(self):
 129         self.assertEqual(self.square1 | self.square2, self.union)
 130
 131     def test_add(self):
 132         self.assertEqual(self.square2 + self.square1, self.sum1)
 133         self.assertEqual(Polyhedron(self.square1 + self.square2), self.sum2)
 134         self.assertEqual(self.universe + self.square1, self.universe)
 135         self.assertEqual(self.empty + self.square1, self.square1)
 136         self.assertEqual(self.universe + self.universe, self.universe)
 137
 138     def test_difference(self):
 139         self.assertEqual(self.square2 - self.square1, self.difference1)
 140         self.assertEqual(Polyhedron(self.square2 - self.square1), self.difference2)
 141         self.assertEqual(self.square2 - self.square2, Empty)
 142         self.assertEqual(self.universe - self.universe, Empty)
 143
 144     def test_lexmin(self):
 145         self.assertEqual(self.square1.lexmin(), self.lexmin)
 146         self.assertEqual(self.universe.lexmin(), self.universe)
 147         self.assertEqual(self.empty.lexmin(), Empty)
 148
 149     def test_lexmax(self):
 150         self.assertEqual(self.square1.lexmax(), self.lexmax)
 151         self.assertEqual(self.universe.lexmax(), self.universe)
 152         self.assertEqual(self.empty.lexmax(), Empty)
 153
 154     def test_num_parameters(self):
 155         self.assertEqual(self.square1.num_parameters(), 2)
 156         self.assertEqual(self.empty.num_parameters(), 0)
 157         self.assertEqual(self.universe.num_parameters(), 0)
 158
 159     def test_involves_dims(self):
 160         self.assertTrue(self.square1.involves_dims(symbols('x y')))
 161         self.assertFalse(self.empty.involves_dims(symbols('x')))
 162         self.assertFalse(self.universe.involves_dims(symbols('x')))