def test_shift(self):
s1 = UnnamedOpetope.shift(UnnamedOpetope.point())
s2 = UnnamedOpetope.shift(s1)
self.assertEqual(
s2.context,
UnnamedOpetope.Context(2) +
(UnnamedOpetope.Address.epsilon(0).shift(),
UnnamedOpetope.Address.epsilon(0)))
p = UnnamedOpetope.Preopetope.point()
a = UnnamedOpetope.Preopetope(1)
a.nodes[UnnamedOpetope.Address.epsilon(0)] = p
g = UnnamedOpetope.Preopetope(2)
g.nodes[UnnamedOpetope.Address.epsilon(1)] = a
self.assertEqual(s1.source, a)
self.assertEqual(s1.target, p)
self.assertEqual(s2.source, g)
self.assertEqual(s2.target, a)
def test_degen(self):
s = UnnamedOpetope.degen(UnnamedOpetope.point())
self.assertEqual(
s.context,
UnnamedOpetope.Context(2) + (UnnamedOpetope.Address.epsilon(1),
UnnamedOpetope.Address.epsilon(0)))
self.assertEqual(
s.source,
UnnamedOpetope.Preopetope.degenerate(
UnnamedOpetope.Preopetope.point()))
self.assertEqual(s.target,
UnnamedOpetope.shift(UnnamedOpetope.point()).source)
def test_graft(self):
i2 = UnnamedOpetope.OpetopicInteger(2).eval()
i3 = UnnamedOpetope.OpetopicInteger(3).eval()
s = UnnamedOpetope.shift(i3)
s = UnnamedOpetope.graft(s, i2,
UnnamedOpetope.Address.fromList([['*']], 2))
s = UnnamedOpetope.graft(
s, i2, UnnamedOpetope.Address.fromList([['*', '*']], 2))
r = s.context
self.assertEqual(r(UnnamedOpetope.Address.fromList([[]], 2)),
UnnamedOpetope.Address.fromList([], 1))
self.assertEqual(r(UnnamedOpetope.Address.fromList([['*'], []], 2)),
UnnamedOpetope.Address.fromList(['*'], 1))
self.assertEqual(r(UnnamedOpetope.Address.fromList([['*'], ['*']], 2)),
UnnamedOpetope.Address.fromList(['*', '*'], 1))
self.assertEqual(
r(UnnamedOpetope.Address.fromList([['*', '*'], []], 2)),
UnnamedOpetope.Address.fromList(['*', '*', '*'], 1))
self.assertEqual(
r(UnnamedOpetope.Address.fromList([['*', '*'], ['*']], 2)),
UnnamedOpetope.Address.fromList(['*', '*', '*', '*'], 1))