quoracle/tests/test_expr.py

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from quoracle.expr import Expr, Node, choose
from typing import Any, List, Set, FrozenSet
2021-04-11 01:33:22 +00:00
import unittest
class TestExpr(unittest.TestCase):
def test_quorums(self):
def assert_equal(e: Expr[str], xs: List[Set[str]]) -> None:
self.assertEqual(frozenset(frozenset(q) for q in e.quorums()),
frozenset(frozenset(x) for x in xs))
a = Node('a')
b = Node('b')
c = Node('c')
d = Node('d')
e = Node('e')
f = Node('f')
assert_equal(a+b+c, [{'a'}, {'b'}, {'c'}])
assert_equal(a*b*c, [{'a', 'b', 'c'}])
assert_equal(a + b*c, [{'a'}, {'b', 'c'}])
assert_equal(a*a*a, [{'a'}])
assert_equal(a+a+a, [{'a'}])
assert_equal(a*(a+b), [{'a'}, {'a', 'b'}])
assert_equal(choose(1, [a, b, c]), [{'a'}, {'b'}, {'c'}])
assert_equal(choose(2, [a, b, c]), [{'a', 'b'}, {'a', 'c'}, {'b', 'c'}])
assert_equal(choose(3, [a, b, c]), [{'a', 'b', 'c'}])
assert_equal((a+b) * (c+d), [
{'a', 'c'}, {'a', 'd'}, {'b', 'c'}, {'b', 'd'}
])
assert_equal((a+b) * (a+c), [
{'a'}, {'a', 'c'}, {'a', 'b'}, {'b', 'c'}
])
assert_equal(
choose(2, [
choose(2, [a, b, c]),
choose(2, [d, e, f]),
choose(2, [a, c, e]),
]), [
{'a','b','d','e'}, {'a','b','d','f'}, {'a','b','e','f'},
{'a','c','d','e'}, {'a','c','d','f'}, {'a','c','e','f'},
{'b','c','d','e'}, {'b','c','d','f'}, {'b','c','e','f'},
{'a','b','a','c'}, {'a','b','a','e'}, {'a','b','c','e'},
{'a','c','a','c'}, {'a','c','a','e'}, {'a','c','c','e'},
{'b','c','a','c'}, {'b','c','a','e'}, {'b','c','c','e'},
{'d','e','a','c'}, {'d','e','a','e'}, {'d','e','c','e'},
{'d','f','a','c'}, {'d','f','a','e'}, {'d','f','c','e'},
{'e','f','a','c'}, {'e','f','a','e'}, {'e','f','c','e'},
])
def test_is_quorum(self):
def assert_quorum(e: Expr[str], q: Set[str]) -> None:
self.assertTrue(e.is_quorum(q))
def assert_not_quorum(e: Expr[str], q: Set[str]) -> None:
self.assertFalse(e.is_quorum(q))
a = Node('a')
b = Node('b')
c = Node('c')
d = Node('d')
e = Node('e')
f = Node('f')
expr = a + b + c
assert_quorum(expr, {'a'})
assert_quorum(expr, {'b'})
assert_quorum(expr, {'c'})
assert_quorum(expr, {'a', 'b'})
assert_quorum(expr, {'a', 'c'})
assert_quorum(expr, {'b', 'c'})
assert_quorum(expr, {'a', 'b', 'c'})
assert_quorum(expr, {'a', 'x'})
assert_not_quorum(expr, set())
assert_not_quorum(expr, {'x'})
expr = a * b * c
assert_quorum(expr, {'a', 'b', 'c'})
assert_quorum(expr, {'a', 'b', 'c', 'x'})
assert_not_quorum(expr, set())
assert_not_quorum(expr, {'a'})
assert_not_quorum(expr, {'b'})
assert_not_quorum(expr, {'c'})
assert_not_quorum(expr, {'a', 'b'})
assert_not_quorum(expr, {'a', 'c'})
assert_not_quorum(expr, {'b', 'c'})
assert_not_quorum(expr, {'x'})
assert_not_quorum(expr, {'a', 'x'})
expr = choose(2, [a, b, c])
assert_quorum(expr, {'a', 'b'})
assert_quorum(expr, {'a', 'c'})
assert_quorum(expr, {'b', 'c'})
assert_quorum(expr, {'a', 'b', 'c'})
assert_quorum(expr, {'a', 'b', 'c', 'x'})
assert_not_quorum(expr, {'a'})
assert_not_quorum(expr, {'b'})
assert_not_quorum(expr, {'c'})
assert_not_quorum(expr, {'x'})
expr = (a+b) * (c+d)
assert_quorum(expr, {'a', 'c'})
assert_quorum(expr, {'a', 'c'})
assert_quorum(expr, {'a', 'd'})
assert_quorum(expr, {'b', 'd'})
assert_quorum(expr, {'a', 'b', 'd'})
assert_quorum(expr, {'b', 'c', 'd'})
assert_quorum(expr, {'a', 'b', 'd'})
assert_quorum(expr, {'a', 'c', 'd'})
assert_quorum(expr, {'a', 'b', 'd'})
assert_quorum(expr, {'b', 'c', 'd'})
assert_quorum(expr, {'a', 'b', 'd'})
assert_quorum(expr, {'b', 'c', 'd'})
assert_quorum(expr, {'a', 'b', 'c', 'd'})
assert_not_quorum(expr, {'a'})
assert_not_quorum(expr, {'b'})
assert_not_quorum(expr, {'c'})
assert_not_quorum(expr, {'d'})
assert_not_quorum(expr, {'a', 'b'})
assert_not_quorum(expr, {'c', 'd'})
assert_not_quorum(expr, {'a', 'b', 'x'})
def test_resilience(self):
def assert_resilience(e: Expr[str], n: int):
self.assertEqual(e.resilience(), n)
a = Node('a')
b = Node('b')
c = Node('c')
d = Node('d')
e = Node('e')
f = Node('f')
assert_resilience(a, 0)
assert_resilience(a + b, 1)
assert_resilience(a + b + c, 2)
assert_resilience(a + b + c + d, 3)
assert_resilience(a, 0)
assert_resilience(a * b, 0)
assert_resilience(a * b * c, 0)
assert_resilience(a * b * c * d, 0)
assert_resilience((a + b) * (c + d), 1)
assert_resilience((a + b + c) * (d + e + f), 2)
assert_resilience((a + b + c) * (a + e + f), 2)
assert_resilience((a + a + c) * (d + e + f), 1)
assert_resilience((a + a + a) * (d + e + f), 0)
assert_resilience(a*b + b*c + a*d + a*d*e, 1)
assert_resilience(choose(2, [a, b, c]), 1)
assert_resilience(choose(2, [a, b, c, d, e]), 3)
assert_resilience(choose(3, [a, b, c, d, e]), 2)
assert_resilience(choose(4, [a, b, c, d, e]), 1)
assert_resilience(choose(2, [a+b+c, d+e, f]), 2)
assert_resilience(choose(2, [a*b, a*c, d]), 0)
assert_resilience(choose(2, [a+b, a+c, a+d]), 2)
def test_dual(self):
def quorums(e: Expr['str']) -> FrozenSet[FrozenSet[str]]:
return frozenset(frozenset(q) for q in e.quorums())
def assert_equal(x: Expr['str'], y: Expr['str']) -> None:
self.assertEqual(quorums(x), quorums(y))
def assert_dual(x: Expr['str'], y: Expr['str']) -> None:
assert_equal(x.dual(), y)
a = Node('a')
b = Node('b')
c = Node('c')
d = Node('d')
e = Node('e')
assert_dual(a, a)
assert_dual(a + b, a * b)
assert_dual(a + a, a * a)
assert_dual((a + b) * (c + d), (a * b) + (c * d))
assert_dual((a + b) * (a + d), (a * b) + (a * d))
assert_dual((a + b) * (a + a), (a * b) + (a * a))
assert_dual((a + a) * (a + a), (a * a) + (a * a))
assert_dual((a + (a * b)) + ((c * d) + a),
(a * (a + b)) * ((c + d) * a))
assert_dual(choose(2, [a, b, c]), choose(2, [a, b, c]))
assert_dual(choose(2, [a+b, c+d, e]), choose(2, [a*b, c*d, e]))
assert_dual(choose(3, [a, b, c, d, e]), choose(3, [a, b, c, d, e]))
assert_dual(choose(2, [a, b, c, d, e]), choose(4, [a, b, c, d, e]))
assert_dual(choose(4, [a, b, c, d, e]), choose(2, [a, b, c, d, e]))
def test_dup_free(self):
def assert_dup_free(e: Expr['str']) -> None:
self.assertTrue(e.dup_free())
def assert_not_dup_free(e: Expr['str']) -> None:
self.assertFalse(e.dup_free())
a = Node('a')
b = Node('b')
c = Node('c')
d = Node('d')
e = Node('e')
f = Node('f')
assert_dup_free(a)
assert_dup_free(a + b)
assert_dup_free(a * b)
assert_dup_free(a * b + c)
assert_dup_free(choose(2, [a, b, c]))
assert_dup_free(choose(2, [a*b, c, d+e+f]))
assert_dup_free(choose(3, [a, b, c, d, e]))
assert_dup_free((a + b) * (c + (d * e)))
assert_not_dup_free(a + a)
assert_not_dup_free(a * a)
assert_not_dup_free(a * (b + a))
assert_not_dup_free(choose(2, [a, b, a]))
assert_not_dup_free(choose(3, [a, b, c, d, a]))
assert_not_dup_free((a + b) * (c + (d * a)))