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 __str__(self) -> str:
srcstr = str()
if self.source.degeneracy is None:
if self.source.nodes is None:
raise RuntimeError("[Pasting diagram, to string] Both the "
"degeneracy and node dict of the pasting "
"diagram are None. In valid derivations, "
"this should not happen")
if self.source.shape == UnnamedOpetope.point().source:
srcstr = "⧫"
else:
lines = [] # type: List[str]
for addr in self.source.nodes.keys():
if self.isSourceUniversal(addr):
lines += [
str(addr) + " ← ∀" + str(self.source.nodes[addr])
]
else:
lines += [
str(addr) + " ← " + str(self.source.nodes[addr])
]
srcstr = "{" + ", ".join(lines) + "}"
else:
srcstr = "{{" + str(self.source.degeneracy) + "}}"
if self.isTargetUniversal():
return srcstr + " → ∀" + str(self.target)
else:
return srcstr + " → " + str(self.target)
def toTex(self) -> str:
if self.degeneracy is None:
if self.nodes is None:
raise RuntimeError("[Pasting diagram, to TeX] Both the "
"degeneracy and node dict of the pasting "
"diagram are None. In valid derivations, "
"this should not happen")
if self.shape == UnnamedOpetope.point().source:
return "\\optZero"
else:
lines = [
addr.toTex() + " \\sep " + self.nodes[addr]
for addr in self.nodes.keys()
]
return "\\opetope{" + " \\\\ ".join(lines) + "}"
else:
return "\\degenopetope{" + self.degeneracy + "}"
def __str__(self) -> str:
if self.degeneracy is None:
if self.nodes is None:
raise RuntimeError("[Pasting diagram, to string] Both the "
"degeneracy and node dict of the pasting "
"diagram are None. In valid derivations, "
"this should not happen")
if self.shape == UnnamedOpetope.point().source:
return "⧫"
else:
lines = [
str(addr) + " ← " + str(self.nodes[addr])
for addr in self.nodes.keys()
]
return "{" + ", ".join(lines) + "}"
else:
return "{{" + str(self.degeneracy) + "}}"
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_point(self):
s = UnnamedOpetope.point()
self.assertEqual(s.context, UnnamedOpetope.Context(0))
self.assertEqual(s.source, UnnamedOpetope.Preopetope.point())
self.assertEqual(s.target, UnnamedOpetope.Preopetope.empty())