self.universe = Polyhedron([])
self.empty = Empty
self.disjoint = And(Ge(x, 0), Ge(-x + 2, 0), Ge(y, 0), Ge(-y + 2, 0))
self.universe = Polyhedron([])
self.empty = Empty
self.disjoint = And(Ge(x, 0), Ge(-x + 2, 0), Ge(y, 0), Ge(-y + 2, 0))
- self.compliment = 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)))
+ 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)))
self.hull = And(Ge(x, 0), Ge(-x + 2, 0), Ge(y, 0), Ge(-y + 2, 0))
self.hull = And(Ge(x, 0), Ge(-x + 2, 0), Ge(y, 0), Ge(-y + 2, 0))
self.sample = And(Eq(y - 3, 0), Eq(x - 1, 0))
self.intersection = And(Ge(x - 1, 0), Ge(-x + 2, 0), Ge(y - 1, 0), Ge(-y + 2, 0))
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)))
self.sample = And(Eq(y - 3, 0), Eq(x - 1, 0))
self.intersection = And(Ge(x - 1, 0), Ge(-x + 2, 0), Ge(y - 1, 0), Ge(-y + 2, 0))
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)))
def test_issubset(self):
self.assertTrue(self.square4.issubset(self.unbound_poly))
self.assertFalse(self.square1.issubset(self.square2))
def test_issubset(self):
self.assertTrue(self.square4.issubset(self.unbound_poly))
self.assertFalse(self.square1.issubset(self.square2))
- def test_compliment(self):
- self.assertEqual(~self.square1, self.compliment)
+ 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)
+ def test_aspolyhedron(self):
+ self.assertEqual(self.square1.aspolyhedron(), self.hull)
+ self.assertEqual(self.universe.aspolyhedron(), self.universe)
+ self.assertEqual(self.empty.aspolyhedron(), self.empty)
+
+ def test_project(self):
+ self.assertEqual(self.square1.project(symbols('x')), self.dropped)
+ self.assertEqual(self.square1.project(symbols('x y')), self.universe)
+ self.assertEqual(self.universe.project([]), self.universe)
+ self.assertEqual(self.empty.project([]), Empty)
def test_simplify(self):
self.assertEqual(self.universe.simplify(), self.universe)
self.assertEqual(self.empty.simplify(), Empty)
def test_sample(self):
def test_simplify(self):
self.assertEqual(self.universe.simplify(), self.universe)
self.assertEqual(self.empty.simplify(), Empty)
def test_sample(self):
self.assertEqual(self.empty.sample(), Empty)
self.assertEqual(self.universe.sample(), self.universe)
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)
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)
+ 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_add(self):
self.assertEqual(self.square2 + self.square1, self.sum1)
self.assertEqual(Polyhedron(self.square1 + self.square2), self.sum2)
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)
def test_difference(self):
self.assertEqual(self.square2 - self.square1, self.difference1)
+ 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')))