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test_serializer_ulkb_equal.py
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# Copyright (C) 2023 IBM Corp.
# SPDX-License-Identifier: Apache-2.0
from ulkb import *
from .test_serializer_ulkb import TestSerializerULKB
from .tests import main
class TestSerializerULKB_Equal(TestSerializerULKB):
def test_defaults(self):
a = TypeVariable('a')
c = TypeConstructor('c', 1)
x, y = Variables('x', 'y', a)
f = Constant('f', FunctionType(a, a))
g = Constant('g', FunctionType(a, a, a))
self.assert_to_ulkb(
(Equal(x@bool, y@bool),
'(x : 𝔹) ↔ (y : 𝔹) : 𝔹'),
(Equal(x, y),
'(x : a) = (y : a) : 𝔹'),
(Equal(Equal(x, y), x@bool),
'(x : a) = (y : a) ↔ (x : 𝔹) : 𝔹'),
(Equal(x@bool, Equal(x, y)),
'(x : 𝔹) ↔ (x : a) = (y : a) : 𝔹'),
(Not(Equal(x, y)),
'(x : a) ≠ (y : a) : 𝔹'),
(Not(Not(Equal(x, y))),
'¬(x : a) ≠ (y : a) : 𝔹'),
(Not(Not(Not(Equal(x, y)))),
'¬¬(x : a) ≠ (y : a) : 𝔹'),
(Equal(f(x), f(y)),
'(f : a → a) (x : a) = (f : a → a) (y : a) : 𝔹'),
(f(Equal(x, y)),
'(f : 𝔹 → 𝔹) ((x : a) = (y : a)) : 𝔹'),
(Equal(Equal(x@bool, y@bool), x@bool),
'((x : 𝔹) ↔ (y : 𝔹)) ↔ (x : 𝔹) : 𝔹'),
(Equal(f(x), f(y)),
'(f : a → a) (x : a) = (f : a → a) (y : a) : 𝔹'),
(Not(Not(Equal(x, Not(Equal(x, y))))),
'¬¬((x : 𝔹) ↔ (x : a) ≠ (y : a)) : 𝔹'))
def test_ensure_ascii(self):
a = TypeVariable('a')
b = TypeVariable('𝛽')
c = TypeConstructor('c', 1)
x, y = Variables('x', 'y', a)
f = Constant('f', FunctionType(a, a))
g = Constant('g', FunctionType(a, a, a))
self.assert_to_ulkb(
(Equal(x@b, y@b, i='𝛼𝛽'),
r"(x : \U0001d6fd) = (y : \U0001d6fd) "
+ r"{i='\U0001d6fc\U0001d6fd'} : bool"),
show_annotations=True, ensure_ascii=True)
def test_show_annotations(self):
a = TypeVariable('a')
b = TypeVariable('𝛽')
c = TypeConstructor('c', 1)
x, y = Variables('x', 'y', a)
f = Constant('f', FunctionType(a, a))
g = Constant('g', FunctionType(a, a, a))
self.assert_to_ulkb(
(Equal(x, y)@{'i': {'x': y}},
'(x : a) = (y : a) : 𝔹'),
show_annotations=False)
self.assert_to_ulkb(
(Equal(x, y)@{'i': {'x': y}},
"(x : a) = (y : a) {i={'x': ⟨y : a⟩}} : 𝔹"),
(Equal(x, y@{'k': 1})@{'i': {x: y}},
"(x : a) = (y {k=1} : a) {i={⟨x : a⟩: ⟨y : a⟩}} : 𝔹"),
(Not(Not(Equal(x, y, i=1))),
"¬¬((x : a) = (y : a) {i=1}) : 𝔹"),
(Not(Not(Equal(x, y), i=1)),
"¬(¬(x : a) = (y : a) {i=1}) : 𝔹"),
(Not(Not(Equal(x, y)), i=1),
"¬(x : a) ≠ (y : a) {i=1} : 𝔹"),
(And(f@bool, Equal(x, y, i=1)),
"(f : 𝔹) ∧ ((x : a) = (y : a) {i=1}) : 𝔹"),
show_annotations=True)
def test_show_parentheses(self):
a = TypeVariable('a')
b = TypeVariable('𝛽')
c = TypeConstructor('c', 1)
x, y = Variables('x', 'y', a)
f = Constant('f', FunctionType(bool, a))
g = Constant('g', FunctionType(a, a, a))
self.assert_to_ulkb(
(Equal(x, y),
'x = y : 𝔹'),
(f(Equal(x@a, y@a)),
'f (x = y) : a'),
(Equal(x@a, f(Equal(x@a, y@a))),
'x = (f (x = y)) : 𝔹'),
(Not(Equal(x, y)),
'¬(x = y) : 𝔹'),
(Not(Not(Equal(x, y))),
'¬¬(x = y) : 𝔹'),
(Not(Not(Not(Equal(x, y)))),
'¬¬¬(x = y) : 𝔹'),
(Not(Not(Equal(x, Not(Equal(x, y))))),
'¬¬(x ↔ (¬(x = y))) : 𝔹'),
show_parentheses=True, omit_types=True)
self.assert_to_ulkb(
(Equal(x, f(Equal(x, y))),
'x = f (x = y) : 𝔹'),
show_parentheses=False, show_types=False)
self.assert_to_ulkb(
(Equal(x, f(Equal(x, y))),
'(x : a) = ((f : 𝔹 → a) ((x : a) = (y : a))) : 𝔹'),
show_parentheses=True)
def test_show_types(self):
a = TypeVariable('a')
b = TypeVariable('𝛽')
c = TypeConstructor('c', 1)
x, y = Variables('x', 'y', a)
f = Constant('f', FunctionType(bool, a))
g = Constant('g', FunctionType(a, a, a))
self.assert_to_ulkb(
(Equal(x, f(y@bool)),
'x = f y : 𝔹'),
(Equal(x, f(y@bool)),
'x = f y : 𝔹'),
show_types=False)
def test_misc(self):
a = TypeVariable('a')
b = TypeVariable('b')
a = TypeVariable('a')
f = Constant('f', a >> a)
g = Constant('g', (a, a) >> a)
x, y, z, w = Variables('x', 'y', 'z', 'w', a)
t = Equal(Variable('x', a, hello={}), Constant(1, b))
self.assert_to_ulkb(
(t,
'(x : b) = (1 : b) : 𝔹'),
(Equal(x, f(x)),
'(x : a) = (f : a → a) (x : a) : 𝔹'))
self.assert_to_ulkb(
(t,
'(x {hello={}} : b) = (1 : b) : 𝔹'),
show_annotations=True)
self.assert_to_ulkb(
(Equal(x, f(x)),
'(x : a) = ((f : a → a) (x : a)) : 𝔹'),
omit_parentheses=False,)
self.assert_to_ulkb(
(t,
'(x {hello={}} : b) = (1 : b) : bool'),
ensure_ascii=True, show_annotations=True)
self.assert_to_ulkb(
(t,
'(x {hello={}} : b) = (1 : b) : 𝔹'),
omit_parentheses=True, show_annotations=True,)
self.assert_to_ulkb(
(t,
'(x {hello={}}) = 1 : 𝔹'),
omit_types=True, show_annotations=True)
self.assert_to_ulkb(
(t,
'(x : b) = (1 : b) : 𝔹'),
omit_annotations=True)
self.assert_to_ulkb(
(t,
'x = 1 : 𝔹'),
omit_types=True, omit_annotations=True)
if __name__ == '__main__':
main()