X-Git-Url: https://svn.cri.ensmp.fr/git/linpy.git/blobdiff_plain/1d494bb187b70135df721c13306d7f26fdf33f50..1b9c772ffc21a71d146a093537d371d63be16c75:/pypol/tests/test_domains.py?ds=inline diff --git a/pypol/tests/test_domains.py b/pypol/tests/test_domains.py index f9e7008..1beaa85 100644 --- a/pypol/tests/test_domains.py +++ b/pypol/tests/test_domains.py @@ -1,12 +1,122 @@ import unittest from ..domains import * +from ..linexprs import symbols +from ..polyhedra import * class TestDomain(unittest.TestCase): def setUp(self): - pass + x, y = symbols('x y') + self.square1 = Polyhedron(inequalities=[x, 2 - x, y, 2 - y]) + self.square2 = Polyhedron(inequalities=[x - 1, 3 - x , y - 1, 3 - y]) #correct representation + self.square3 = Polyhedron(inequalities=[x, 3 - x, y, 3 - y]) + self.square4 = Polyhedron(inequalities=[x - 1, 2 - x, y - 1, 2 - y]) + self.square5 = Polyhedron(inequalities=[x - 3, 6 - x, y - 3, 6 -y]) + self.square6 = Polyhedron(equalities=[3 - y], inequalities=[x - 1, 3 - x, y - 1]) + self.unbound_poly = Polyhedron(inequalities=[x, 3 - x, y]) + 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.hull = And(Ge(x, 0), Ge(-x + 2, 0), Ge(y, 0), Ge(-y + 2, 0)) + self.dropped = And(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.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))) + 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)) + 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))) + self.difference2 = And(Ge(x + y - 4, 0), Ge(-x + 3, 0), Ge(-y + 3, 0)) + self.lexmin = And(Eq(y, 0), Eq(x, 0)) + self.lexmax = And(Eq(y - 2, 0), Eq(x - 2, 0)) def test_new(self): - pass + with self.assertRaises(TypeError): + Polyhedron(1) + + def test_disjoint(self): + self.assertEqual(self.square1.disjoint(), self.disjoint) + + def test_isempty(self): + self.assertFalse(self.square1.isempty()) + self.assertTrue(self.empty.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) + + def test_isdisjoint(self): + self.assertFalse(self.square1.isdisjoint(self.square2)) + self.assertTrue(self.square1.isdisjoint(self.square5)) + + def test_issubset(self): + self.assertTrue(self.square4.issubset(self.unbound_poly)) + self.assertFalse(self.square1.issubset(self.square2)) + + def test_le(self): + self.assertTrue(self.square4 <= self.square3) + self.assertFalse(self.square3 <= self.square4) + + def test_lt(self): + self.assertTrue(self.square4 < self.square3) + self.assertFalse(self.square3 < self.square4) + + def test_compliment(self): + self.assertEqual(~self.square1, self.compliment) + + def test_polyhedral_hull(self): + self.assertEqual(self.square1.polyhedral_hull(), self.hull) + + def test_drop_dims(self): + self.assertEqual(self.square1.drop_dims('x'), self.dropped) + self.assertEqual(self.square1.drop_dims('x y'), self.universe) + self.assertEqual(self.universe.drop_dims(' '), self.universe) + self.assertEqual(self.empty.drop_dims(' '), Empty) + + @unittest.expectedFailure + 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.square6.sample(), self.sample) + + 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_union(self): + self.assertEqual(self.square1.union(self.square2), self.union) + + 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) + + 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) + + def test_lexmax(self): + self.assertEqual(self.square1.lexmax(), self.lexmax)