def test_sum(self):
a = NamedOpetopicSet.Repr(
NamedOpetope.OpetopicInteger(3, "a", "f", "A")).eval()
b = NamedOpetopicSet.Repr(
NamedOpetope.OpetopicInteger(4, "a", "f", "B")).eval()
c = NamedOpetopicSet.Repr(
NamedOpetope.OpetopicInteger(4, "b", "g", "B")).eval()
with self.assertRaises(DerivationError):
NamedOpetopicSet.sum(a, b)
with self.assertRaises(DerivationError):
NamedOpetopicSet.sum(b, c)
d = NamedOpetopicSet.sum(a, c)
self.assertEqual(len(d.context), len(a.context) + len(c.context))
self.assertEqual(len(d.theory.classes),
len(a.theory.classes) + len(c.theory.classes))
def test_repres(self):
with self.assertRaises(DerivationError):
NamedOpetopicSet.repres(
NamedOpetope.Degen(NamedOpetope.Point("x")).eval())
aseq = NamedOpetopicSet.repres(NamedOpetope.Arrow().eval())
self.assertEqual(len(aseq.context), 3)
self.assertEqual(len(aseq.theory.classes), 0)
self.assertIn(NamedOpetope.Variable("a", 0), aseq.context)
self.assertIn(NamedOpetope.Variable("tf", 0), aseq.context)
self.assertIn(NamedOpetope.Variable("f", 1), aseq.context)
i3seq = NamedOpetopicSet.repres(NamedOpetope.OpetopicInteger(3).eval())
self.assertEqual(len(i3seq.context), 12)
self.assertEqual(len(i3seq.theory.classes), 3)
self.assertIn(NamedOpetope.Variable("a_1", 0), i3seq.context)
self.assertIn(NamedOpetope.Variable("a_2", 0), i3seq.context)
self.assertIn(NamedOpetope.Variable("a_3", 0), i3seq.context)
self.assertIn(NamedOpetope.Variable("f_1", 1), i3seq.context)
self.assertIn(NamedOpetope.Variable("f_2", 1), i3seq.context)
self.assertIn(NamedOpetope.Variable("f_3", 1), i3seq.context)
self.assertIn(NamedOpetope.Variable("A", 2), i3seq.context)
self.assertTrue(
i3seq.theory.equal(NamedOpetope.Variable("a_1", 0),
NamedOpetope.Variable("tf_2", 0)))
self.assertTrue(
i3seq.theory.equal(NamedOpetope.Variable("a_2", 0),
NamedOpetope.Variable("tf_3", 0)))
self.assertTrue(
i3seq.theory.equal(NamedOpetope.Variable("tf_1", 0),
NamedOpetope.Variable("ttA", 0)))
def test_glue(self):
a = NamedOpetopicSet.Repr(NamedOpetope.OpetopicInteger(3)).eval()
with self.assertRaises(DerivationError):
NamedOpetopicSet.glue(a, "a_1", "f_1")
with self.assertRaises(DerivationError):
NamedOpetopicSet.glue(a, "f_1", "f_2")
a = NamedOpetopicSet.glue(a, "a_1", "a_2")
a = NamedOpetopicSet.glue(a, "a_1", "a_3")
a = NamedOpetopicSet.glue(a, "a_1", "ttA")
a = NamedOpetopicSet.glue(a, "f_1", "f_2")
a = NamedOpetopicSet.glue(a, "f_1", "f_3")
a = NamedOpetopicSet.glue(a, "f_1", "tA")
self.assertEqual(len(a.theory.classes), 2)
