def test_rank(self):
self.assertEqual(PartialPerm([1, 4, 2], [2, 3, 4], 6).rank(), 3)
self.assertEqual(
PartialPerm([1, 2, 4, 6, 7, 23], [0, 5, 2, 4, 6, 7], 26).rank(), 6)
with self.assertRaises(TypeError):
PartialPerm([1, 2], [0, 1], 3).rank(2)
def test_degree(self):
self.assertEqual(PartialPerm([1, 4, 2], [2, 3, 4], 6).degree(), 6)
self.assertEqual(
PartialPerm([7, 26, 3, 5], [23, 13, 19, 11], 29).degree(), 29)
with self.assertRaises(TypeError):
PartialPerm([1, 2], [0, 1], 3).degree(8.5)
def test_range(self):
self.assertEqual(set(PartialPerm([1, 4, 2], [2, 3, 4], 6).range()),
set([2, 3, 4]))
self.assertEqual(
set(PartialPerm([7, 26, 3, 5], [23, 13, 19, 11], 29).range()),
set([23, 13, 19, 11]))
with self.assertRaises(TypeError):
PartialPerm([1, 2], [0, 1], 3).range([3])
def test_domain(self):
self.assertEqual(set(PartialPerm([1, 4, 2], [2, 3, 4], 6).domain()),
set([1, 4, 2]))
self.assertEqual(
set(PartialPerm([7, 26, 3, 5], [23, 13, 19, 11], 29).domain()),
set([7, 26, 3, 5]))
with self.assertRaises(TypeError):
PartialPerm([1, 2], [0, 1], 3).domain('a')
def test_richcmp(self):
# FIXME should be self.assertEqual and self.assertNotEqual
assert BooleanMat([True, False], [False, True]) == \
BooleanMat([True, False], [False, True])
assert not BooleanMat([True, False], [False, True]) != \
BooleanMat([True, False], [False, True])
assert not BooleanMat([True, False], [False, True]) == \
BooleanMat([False, False], [False, True])
assert BooleanMat([False]) < BooleanMat([True])
assert not BooleanMat([False, True, True],
[True, True, False],
[False, False, False]) < \
BooleanMat([False, True, False],
[True, False, False],
[False, False, True])
assert BooleanMat([False]) <= BooleanMat([False])
assert BooleanMat([True, False], [False, True]) > \
BooleanMat([True, False], [False, False])
assert not BooleanMat([True, False], [False, True]) > \
BooleanMat([True, False], [False, True])
assert BooleanMat([False]) >= BooleanMat([False])
with self.assertRaises(TypeError):
Bipartition([1, -2], [-1, 2]) >= \
BooleanMat([False, False], [True, False])
with self.assertRaises(TypeError):
BooleanMat([False, False], [True, False]) < Transformation([0, 1])
with self.assertRaises(TypeError):
BooleanMat([True, False], [False, True]) == \
PartialPerm([0], [1], 2)
def test_richcmp(self):
self.assertEqual(PBR([[1, -1], [-2, -1, 2]], [[2], [-2]]),
PBR([[1, -1], [-2, -1, 2]], [[2], [-2]]))
self.assertEqual(PBR([[1, -1], [-2, -1, 2]], [[2], [-2]]),
PBR([[1, -1], [-2, -1, 2]], [[2], [-2]]))
self.assertNotEqual(
PBR([[1, -1], [-2, -1, 2]], [[2], [-2]]),
PBR([[1, 2], [-2, 1, 2], [3, -3]], [[2, 1], [-2, 2, 1], [1, -1]]))
self.assertTrue(
PBR([[1], [1, 2, -1]], [[1], [2, -1, 1]]) < PBR([[1], [2]],
[[-1], [-2]]))
self.assertTrue(
PBR([[1, -1, 3], [-2, -1, 2], [3, -2]], [[2], [-2], [1, -1, 2]]) >
PBR([[1, -1], [-2, -1, 2]], [[2], [-2]]))
self.assertTrue(
PBR([[1, -1, 3], [-2, -1, 2], [3, -2]], [[2], [-2], [1, -1, 2]]) >=
PBR([[1, -1], [-2, -1, 2]], [[2], [-2]]))
self.assertTrue(
PBR([[1, -1], [-2, -1, 2]], [[2], [-2]]) <= PBR(
[[1, -1], [-2, -1, 2]], [[2], [-2]]))
with self.assertRaises(TypeError):
(PBR([[1, -1, 3], [-2, -1, 2], [3, -2]],
[[2], [-2], [1, -1, 2]]) == Bipartition([1, -1], [2, 3, -2],
[-3]))
with self.assertRaises(TypeError):
PBR([[1, -1], [-2, -1]], [[1], [-2, -1]]) < Transformation([0, 1])
with self.assertRaises(TypeError):
PBR([[1, -1], [-2, -1]], [[1], [-2, -1]]) != \
PartialPerm([0, 1], [1, 0], 2)
with self.assertRaises(TypeError):
PBR([[1, -1]], [[1]]) < 3
def test_mul(self):
self.assertEqual(BooleanMat([True, False], [False, True]) * \
BooleanMat([False, False], [False, True]),
BooleanMat([False, False], [False, True]))
self.assertEqual(
BooleanMat([False]) * BooleanMat([True]), BooleanMat([False]))
self.assertEqual(BooleanMat([False, True, True],
[True, True, False],
[False, False, False]) * \
BooleanMat([False, True, False],
[True, False, False],
[False, False, True]),
BooleanMat([True, False, True],
[True, True, False],
[False, False, False]))
with self.assertRaises(TypeError):
BooleanMat([True, True], [False, False]) * Transformation([1, 1])
with self.assertRaises(TypeError):
BooleanMat([False, True, True], [True, True, False],
[False, False, False]) * PartialPerm([0, 1], [1, 2], 3)
with self.assertRaises(TypeError):
BooleanMat([True]) * [True]
with self.assertRaises(TypeError):
BooleanMat([True, False], [False, True]) * Bipartition([1, 2],
[-1], [-2])
with self.assertRaises(ValueError):
BooleanMat([False, True, True],
[True, True, False],
[False, False, False]) * \
BooleanMat([True, False], [False, True])
def test_repr(self):
self.assertEqual(
eval(PartialPerm([0, 3, 4, 2], [2, 4, 1, 3], 5).__repr__()),
PartialPerm([0, 3, 4, 2], [2, 4, 1, 3], 5))
self.assertEqual(eval(PartialPerm([1, 4, 2], [2, 3, 4], 6).__repr__()),
PartialPerm([1, 4, 2], [2, 3, 4], 6))
self.assertEqual(eval(PartialPerm([1, 2, 3], [2, 1, 0], 5).__repr__()),
PartialPerm([1, 2, 3], [2, 1, 0], 5))
def test_identity(self):
self.assertEqual(
PartialPerm([0, 1], [1, 0], 2).identity(),
PartialPerm([0, 1], [0, 1], 2))
self.assertEqual(
PartialPerm([1, 2, 4, 6, 7, 3], [0, 5, 2, 4, 6, 7], 8).identity(),
PartialPerm([0, 1, 2, 3, 4, 5, 6, 7], [0, 1, 2, 3, 4, 5, 6, 7], 8))
self.assertEqual(
PartialPerm([0, 3, 4, 2], [2, 4, 1, 3], 5).identity(),
PartialPerm([0, 1, 2, 3, 4], [0, 1, 2, 3, 4], 5))
def test_mul(self):
self.assertEqual(Transformation([1, 3, 2, 1]) * \
Transformation([0, 3, 2, 2]),
Transformation([3, 2, 2, 3]))
self.assertEqual(
Transformation([2, 2, 2]) * Transformation([1, 0, 1]),
Transformation([1, 1, 1]))
self.assertEqual(Transformation([0, 1, 2, 3, 4, 5]) * \
Transformation([3, 2, 2, 3, 1, 4]),
Transformation([3, 2, 2, 3, 1, 4]))
with self.assertRaises(TypeError):
Transformation([0, 2, 1]) * PartialPerm([0, 1], [1, 2], 3)
with self.assertRaises(TypeError):
Transformation([0, 2, 1]) * Bipartition([1, -1], [2, 3, -3], [-2])
with self.assertRaises(TypeError):
Transformation([0, 1, 2, 3, 4, 5]) * 8
with self.assertRaises(ValueError):
Transformation([0, 2, 1]) * Transformation([1, 2, 3, 0])
def test_richcmp(self):
# FIXME should be self.assertEqual and self.assertNotEqual
assert Bipartition([3, -4, -1], [2, -3], [4, -2], [1]) == \
Bipartition([4, -2], [3, -4, -1], [1], [2, -3])
assert not Bipartition([3, -4, -1], [2, -3], [4, -2], [1]) != \
Bipartition([4, -2], [3, -4, -1], [1], [2, -3])
assert Bipartition([1, -1, 3], [-3, 2, -2]) <= \
Bipartition([1, -1], [2, 3, -2], [-3])
assert Bipartition([1, -1], [2, -2]) < Bipartition([1, -2], [2, -1])
assert Bipartition([1, -1], [2, -2]) <= Bipartition([1, -2], [2, -1])
assert Bipartition([1, -1, 3], [-3, 2, -2]) >= \
Bipartition([1, -2], [2, -1])
assert not Bipartition([1, -1, 3], [-3, 2, -2]) > \
Bipartition([1, -1], [2, 3, -2], [-3])
with self.assertRaises(TypeError):
PartialPerm([1, 2], [2, 1], 3) == \
Bipartition([1, -1], [2, 3, -2], [-3])
with self.assertRaises(TypeError):
Bipartition([1, -1], [2, -2]) < Transformation([0, 1])
with self.assertRaises(TypeError):
Bipartition([1, -1], [2, -2]) != Transformation([0, 1])
def test_mul(self):
self.assertEqual(Bipartition([1, -1, 2, -2]) * \
Bipartition([1, -1, 2, -2]),
Bipartition([1, 2, -1, -2]))
self.assertEqual(Bipartition([1, 2], [-1], [-2]) * \
Bipartition([1, -1], [2, -2]),
Bipartition([1, 2], [-1], [-2]))
self.assertEqual(Bipartition([1, -1], [2, 3, -2], [-3]) * \
Bipartition([1, 3, 2, -3], [-2], [-1]),
Bipartition([1, 2, 3, -3], [-1], [-2]))
with self.assertRaises(TypeError):
Bipartition([1, -1], [2, 3, -3], [-2]) * \
PartialPerm([0, 1], [1, 2], 3)
with self.assertRaises(TypeError):
Transformation([0, 2, 1]) * Bipartition([1, -1], [2, 3, -3], [-2])
with self.assertRaises(TypeError):
Bipartition([1, -1], [2, 3, -3], [-2]) * 26
with self.assertRaises(ValueError):
Bipartition([1, -1], [2, 3, -3], [-2]) * \
Bipartition([1, -1, 2, -2])
def test_dealloc(self):
t = PartialPerm([0, 1], [1, 0], 2)
del t
with self.assertRaises(NameError):
t
def test_init(self):
PartialPerm([1, 0, 2], [2, 0, 1], 3)
PartialPerm([1, 0], [0, 1], 5)
PartialPerm([0, 3, 4, 5, 8, 20, 23373],
[1, 2, 34, 23423, 233, 432, 26], 26260)
def test_init_fail(self):
with self.assertRaises(ValueError):
PartialPerm([1, 3], [0, 1], 3)
with self.assertRaises(ValueError):
PartialPerm([1, 2], [3, 2], 3)
with self.assertRaises(TypeError):
PartialPerm([-2, 2], [0, 1], 3)
with self.assertRaises(TypeError):
PartialPerm([1, 2], [-1, 2], 3)
with self.assertRaises(ValueError):
PartialPerm([1, 2], [2, 2], 3)
with self.assertRaises(ValueError):
PartialPerm([1, 1], [0, 2], 3)
with self.assertRaises(ValueError):
PartialPerm([], [], -1)
with self.assertRaises(ValueError):
PartialPerm([1, 2], [0, 1, 2], 3)
with self.assertRaises(TypeError):
PartialPerm([1, 2], [0, 'i'], 3)
with self.assertRaises(TypeError):
PartialPerm([1, [0]], [1, 2], 3)
with self.assertRaises(TypeError):
PartialPerm([0, 1], [2, 3], [4])
with self.assertRaises(TypeError):
PartialPerm([0, 1], [2, 3], 4.3)
def test_pow(self):
self.assertEqual(
PartialPerm([0, 1], [0, 1], 2)**20, PartialPerm([0, 1], [0, 1], 2))
self.assertEqual(
PartialPerm([1, 2, 4, 6, 7, 23], [0, 5, 2, 4, 6, 7], 26)**5,
PartialPerm([23], [5], 26))
self.assertEqual(
PartialPerm([0, 3, 7, 2], [5, 7, 1, 3], 8)**10,
PartialPerm([], [], 8))
self.assertEqual(
PartialPerm([1, 2, 4, 6, 7, 23], [0, 5, 2, 4, 6, 7], 26)**0,
PartialPerm([], [], 26).identity())
with self.assertRaises(ValueError):
PartialPerm([1, 2], [0, 1], 3)**-1
with self.assertRaises(TypeError):
PartialPerm([0, 1], [0, 1], 2)**1.5
with self.assertRaises(TypeError):
PartialPerm([1, 4, 2], [2, 3, 4], 6)**'a'
def test_mul(self):
self.assertEqual(PartialPerm([0, 1], [0, 1], 2) * \
PartialPerm([0, 1], [0, 1], 2),
PartialPerm([0, 1], [0, 1], 2))
self.assertEqual(PartialPerm([1, 2, 4, 6, 7, 23],
[0, 5, 2, 4, 6, 7], 26) * \
PartialPerm([2, 4, 3, 5, 0, 19],
[7, 8, 2, 3, 23, 0], 26),
PartialPerm([1, 2, 4, 6], [23, 3, 7, 8], 26))
self.assertEqual(PartialPerm([0, 3, 7, 2], [5, 7, 1, 3], 8) * \
PartialPerm([4, 7, 3, 6], [5, 0, 3, 2], 8),
PartialPerm([2, 3], [3, 0], 8))
with self.assertRaises(TypeError):
PartialPerm([0, 1], [0, 1], 2) * Transformation([0, 1])
with self.assertRaises(TypeError):
PartialPerm([0, 1], [0, 1], 2) * Bipartition([-2, 1], [-1, 2])
with self.assertRaises(ValueError):
PartialPerm([1, 2], [0, 1], 3) * PartialPerm([1, 2], [0, 1], 4)
def test_richcmp(self):
# FIXME should be self.assertEqual and self.assertNotEqual
assert PartialPerm([1, 2, 3], [2, 1, 0], 5) == \
PartialPerm([1, 2, 3], [2, 1, 0], 5)
assert not PartialPerm([1, 2, 3], [2, 1, 0], 5) != \
PartialPerm([1, 2, 3], [2, 1, 0], 5)
assert not PartialPerm([1, 2, 4], [2, 1, 0], 5) == \
PartialPerm([1, 2, 3], [2, 3, 0], 5)
assert PartialPerm([1, 2, 4], [2, 1, 0], 5) != \
PartialPerm([1, 2, 3], [2, 3, 0], 5)
assert not PartialPerm([1, 2, 4], [2, 1, 0], 5) < \
PartialPerm([1, 2, 3], [2, 3, 0], 5)
assert PartialPerm([1, 2], [0, 1], 3) < \
PartialPerm([2, 0], [0, 1], 3)
assert not PartialPerm([1, 2], [0, 1], 3) > \
PartialPerm([2, 0], [0, 1], 3)
assert PartialPerm([1, 2], [1, 2], 3) > \
PartialPerm([1, 2], [0, 1], 3)
assert PartialPerm([1, 2], [1, 2], 3) >= \
PartialPerm([1, 2], [0, 1], 3)
assert PartialPerm([1, 2, 3], [2, 1, 0], 5) <= \
PartialPerm([1, 2, 3], [2, 1, 0], 5)
with self.assertRaises(TypeError):
PartialPerm([1, 2], [2, 1], 3) == \
Bipartition([1, -1], [2, 3, -2], [-3])
with self.assertRaises(TypeError):
PartialPerm([0, 1], [0, 1], 2) < Transformation([0, 1])
with self.assertRaises(TypeError):
PartialPerm([0, 1], [0, 1], 2) != Transformation([0, 1])