+ with self.assertRaises(TypeError):
+ Polyhedron(1)
+
+ def test_disjoint(self):
+ self.assertEqual(self.square1.disjoint(), self.disjoint)
+ self.assertEqual(self.empty.disjoint(), Empty)
+ self.assertEqual(self.universe.disjoint(), self.universe)
+
+ def test_isempty(self):
+ self.assertFalse(self.square1.isempty())
+ self.assertTrue(self.empty.isempty())
+ self.assertFalse(self.universe.isempty())
+
+ def test_isuniverse(self):
+ self.assertFalse(self.square1.isuniverse())
+ self.assertTrue(self.universe.isuniverse())
+
+ def test_isbounded(self):
+ self.assertTrue(self.square1.isbounded())
+ self.assertFalse(self.unbound_poly.isbounded())
+
+ def test_eq(self):
+ self.assertTrue(self.square1 == self.square1)
+ self.assertFalse(self.square1 == self.square2)
+ self.assertFalse(self.empty == self.universe)
+
+ def test_isdisjoint(self):
+ self.assertFalse(self.square1.isdisjoint(self.square2))
+ self.assertFalse(self.universe.isdisjoint(self.square1))
+ self.assertTrue(self.square1.isdisjoint(self.square5))
+ self.assertTrue(self.empty.isdisjoint(self.square1))
+
+ def test_issubset(self):
+ self.assertTrue(self.square4.issubset(self.unbound_poly))
+ self.assertFalse(self.square1.issubset(self.square2))
+ self.assertTrue(self.square1.issubset(self.universe))
+ self.assertTrue(self.empty.issubset(self.square1))
+
+ def test_le(self):
+ self.assertTrue(self.square4 <= self.square3)
+ self.assertFalse(self.square3 <= self.square4)
+ self.assertTrue(self.empty <= self.square1)
+ self.assertTrue(self.square1 <= self.universe)
+
+ def test_lt(self):
+ self.assertTrue(self.square4 < self.square3)
+ self.assertFalse(self.square3 < self.square4)
+ self.assertTrue(self.empty < self.square1)
+ self.assertTrue(self.square1 < self.universe)
+
+ def test_complement(self):
+ self.assertEqual(~self.square1, self.complement)
+ self.assertEqual(~self.universe, Empty)
+ self.assertEqual(~self.empty, self.universe)
+
+ def test_polyhedral_hull(self):
+ self.assertEqual(self.square1.polyhedral_hull(), self.hull)
+ self.assertEqual(self.universe.polyhedral_hull(), self.universe)
+ self.assertEqual(self.empty.polyhedral_hull(), self.empty)
+
+ def test_project_out(self):
+ self.assertEqual(self.square1.project_out(symbols('x')), self.dropped)
+ self.assertEqual(self.square1.project_out(symbols('x y')), self.universe)
+ self.assertEqual(self.universe.project_out([]), self.universe)
+ self.assertEqual(self.empty.project_out([]), Empty)
+
+ def test_simplify(self):
+ self.assertEqual(self.universe.simplify(), self.universe)
+ self.assertEqual(self.empty.simplify(), Empty)
+
+ def test_sample(self):
+ self.assertEqual(self.square6.sample(), self.sample)
+ self.assertEqual(self.empty.sample(), Empty)
+ self.assertEqual(self.universe.sample(), self.universe)
+
+ def test_intersection(self):
+ self.assertEqual(self.square1.intersection(self.square2), self.intersection)
+
+ def test_and(self):
+ self.assertEqual(self.square2 & self.square1, self.intersection)
+ self.assertEqual(self.square1 & self.universe, self.square1)
+ self.assertEqual(self.empty & self.square1, Empty)
+ self.assertEqual(self.universe & self.universe, self.universe)
+ self.assertEqual(self.universe & self.empty, Empty)
+ self.assertEqual(self.empty & self.empty, Empty)
+
+ def test_union(self):
+ self.assertEqual(self.square1.union(self.square2), self.union)
+ self.assertEqual(self.square1.union(self.empty), self.square1)
+ self.assertEqual(self.square1.union(self.universe), self.universe)
+ self.assertEqual(self.universe.union(self.universe), self.universe)
+ self.assertEqual(self.empty.union(self.empty), self.empty)
+
+ def test_or(self):
+ self.assertEqual(self.square1 | self.square2, self.union)
+
+ def test_add(self):
+ self.assertEqual(self.square2 + self.square1, self.sum1)
+ self.assertEqual(Polyhedron(self.square1 + self.square2), self.sum2)
+ self.assertEqual(self.universe + self.square1, self.universe)
+ self.assertEqual(self.empty + self.square1, self.square1)
+ self.assertEqual(self.universe + self.universe, self.universe)
+
+ def test_difference(self):
+ self.assertEqual(self.square2 - self.square1, self.difference1)
+ self.assertEqual(Polyhedron(self.square2 - self.square1), self.difference2)
+ self.assertEqual(self.square2 - self.square2, Empty)
+ self.assertEqual(self.universe - self.universe, Empty)
+
+ def test_lexmin(self):
+ self.assertEqual(self.square1.lexmin(), self.lexmin)
+ self.assertEqual(self.universe.lexmin(), self.universe)
+ self.assertEqual(self.empty.lexmin(), Empty)
+
+ def test_lexmax(self):
+ self.assertEqual(self.square1.lexmax(), self.lexmax)
+ self.assertEqual(self.universe.lexmax(), self.universe)
+ self.assertEqual(self.empty.lexmax(), Empty)
+
+ def test_num_parameters(self):
+ self.assertEqual(self.square1.num_parameters(), 2)
+ self.assertEqual(self.empty.num_parameters(), 0)
+ self.assertEqual(self.universe.num_parameters(), 0)
+
+ def test_involves_dims(self):
+ self.assertTrue(self.square1.involves_dims(symbols('x y')))
+ self.assertFalse(self.empty.involves_dims(symbols('x')))
+ self.assertFalse(self.universe.involves_dims(symbols('x')))