def test_logic_not():
assert Not('a') != '!a'
assert Not('!a') != 'a'
# NOTE: we may want to change default Not behaviour and put this
# functionality into some method.
assert Not(And('a', 'b')) == Or(Not('a'), Not('b'))
assert Not(Or('a', 'b')) == And(Not('a'), Not('b'))
def test_logic_onearg():
assert And() is True
assert Or() is False
assert And(T) == T
assert And(F) == F
assert Or(T) == T
assert Or(F) == F
assert And('a') == 'a'
assert Or('a') == 'a'
def test_logic_onearg():
raises(TypeError, 'And()')
raises(TypeError, 'Or ()')
assert And(T) == T
assert And(F) == F
assert Or(T) == T
assert Or(F) == F
assert And('a') == 'a'
assert Or('a') == 'a'
def test_logic_not():
assert Not('a') != '!a'
assert Not('!a') != 'a'
assert Not(True) == False
assert Not(False) == True
# NOTE: we may want to change default Not behaviour and put this
# functionality into some method.
assert Not(And('a', 'b')) == Or(Not('a'), Not('b'))
assert Not(Or('a', 'b')) == And(Not('a'), Not('b'))
raises(ValueError, lambda: Not(1))
def test_logic_fromstring():
S = Logic.fromstring
assert S('a') == 'a'
assert S('!a') == Not('a')
assert S('a & b') == And('a', 'b')
assert S('a | b') == Or('a', 'b')
assert S('a | b & c') == And(Or('a', 'b'), 'c')
assert S('a & b | c') == Or(And('a', 'b'), 'c')
assert S('a & b & c') == And('a', 'b', 'c')
assert S('a | b | c') == Or('a', 'b', 'c')
raises(ValueError, lambda: S('| a'))
raises(ValueError, lambda: S('& a'))
raises(ValueError, lambda: S('a | | b'))
raises(ValueError, lambda: S('a | & b'))
raises(ValueError, lambda: S('a & & b'))
raises(ValueError, lambda: S('a |'))
def test_logic_cmp():
l1 = And('a', Not('b'))
l2 = And('a', Not('b'))
assert hash(l1) == hash(l2)
assert (l1 == l2) == T
assert (l1 != l2) == F
assert And('a', 'b', 'c') == And('b', 'a', 'c')
assert And('a', 'b', 'c') == And('c', 'b', 'a')
assert And('a', 'b', 'c') == And('c', 'a', 'b')
def test_logic_cmp():
l1 = And('a', Not('b'))
l2 = And('a', Not('b'))
assert hash(l1) == hash(l2)
assert (l1 == l2) == T
assert (l1 != l2) == F
assert And('a', 'b', 'c') == And('b', 'a', 'c')
assert And('a', 'b', 'c') == And('c', 'b', 'a')
assert And('a', 'b', 'c') == And('c', 'a', 'b')
assert Not('a') < Not('b')
assert (Not('b') < Not('a')) is False
if PY3:
assert (Not('a') < 2) is False
def test_logic_expand():
t = And(Or("a", "b"), "c")
assert t.expand() == Or(And("a", "c"), And("b", "c"))
t = And(Or("a", "!b"), "b")
assert t.expand() == And("a", "b")
t = And(Or("a", "b"), Or("c", "d"))
assert t.expand() == Or(And("a", "c"), And("a", "d"), And("b", "c"), And("b", "d"))
def test_logic_expand():
t = And(Or('a','b'), 'c')
assert t.expand() == Or(And('a','c'), And('b','c'))
t = And(Or('a','!b'),'b')
assert t.expand() == And('a','b')
t = And(Or('a','b'), Or('c','d'))
assert t.expand() == Or(And('a','c'), And('a','d'), And('b','c'), And('b','d'))
def test_logic_eval_TF():
assert And(F, F) == F
assert And(F, T) == F
assert And(T, F) == F
assert And(T, T) == T
assert Or(F, F) == F
assert Or(F, T) == T
assert Or(T, F) == T
assert Or(T, T) == T
assert And('a', T) == 'a'
assert And('a', F) == F
assert Or('a', T) == T
assert Or('a', F) == 'a'
def test_logic_xnotx():
assert And('a', Not('a')) == F
assert Or('a', Not('a')) == T
def test_logic_expand():
t = And(Or('a', 'b'), 'c')
assert t.expand() == Or(And('a', 'c'), And('b', 'c'))
t = And(Or('a', Not('b')), 'b')
assert t.expand() == And('a', 'b')
t = And(Or('a', 'b'), Or('c', 'd'))
assert t.expand() == \
Or(And('a', 'c'), And('a', 'd'), And('b', 'c'), And('b', 'd'))
def test_logic_combine_args():
assert And('a', 'b', 'a') == And('a', 'b')
assert Or('a', 'b', 'a') == Or('a', 'b')
assert And(And('a', 'b'), And('c', 'd')) == And('a', 'b', 'c', 'd')
assert Or(Or('a', 'b'), Or('c', 'd')) == Or('a', 'b', 'c', 'd')
assert Or('t', And('n', 'p', 'r'), And('n', 'r'), And('n', 'p', 'r'), 't',
And('n', 'r')) == Or('t', And('n', 'p', 'r'), And('n', 'r'))
def test_apply_beta_to_alpha_route():
APPLY = apply_beta_to_alpha_route
# indicates empty alpha-chain with attached beta-rule #bidx
def Q(bidx):
return (set(), [bidx])
# x -> a &(a,b) -> x -- x -> a
A = {
'x': set(['a'])
}
B = [(And('a', 'b'), 'x')]
assert APPLY(A, B) == {'x': (set(['a']), []), 'a': Q(0), 'b': Q(0)}
# x -> a &(a,!x) -> b -- x -> a
A = {
'x': set(['a'])
}
B = [(And('a', '!x'), 'b')]
assert APPLY(A, B) == {'x': (set(['a']), []), '!x': Q(0), 'a': Q(0)}
# x -> a b &(a,b) -> c -- x -> a b c
A = {
'x': set(['a', 'b'])
}
B = [(And('a', 'b'), 'c')]
assert APPLY(A, B) == {
'x': (set(['a', 'b', 'c']), []),
'a': Q(0),
'b': Q(0)
}
# x -> a &(a,b) -> y -- x -> a [#0]
A = {
'x': set(['a'])
}
B = [(And('a', 'b'), 'y')]
assert APPLY(A, B) == {'x': (set(['a']), [0]), 'a': Q(0), 'b': Q(0)}
# x -> a b c &(a,b) -> c -- x -> a b c
A = {'x': set(['a', 'b', 'c'])}
B = [(And('a', 'b'), 'c')]
assert APPLY(A, B) == {
'x': (set(['a', 'b', 'c']), []),
'a': Q(0),
'b': Q(0)
}
# x -> a b &(a,b,c) -> y -- x -> a b [#0]
A = {
'x': set(['a', 'b'])
}
B = [(And('a', 'b', 'c'), 'y')]
assert APPLY(A, B) == {
'x': (set(['a', 'b']), [0]),
'a': Q(0),
'b': Q(0),
'c': Q(0)
}
# x -> a b &(a,b) -> c -- x -> a b c d
# c -> d c -> d
A = {'x': set(['a', 'b']), 'c': set(['d'])}
B = [(And('a', 'b'), 'c')]
assert APPLY(A, B) == {
'x': (set(['a', 'b', 'c', 'd']), []),
'c': (set(['d']), []),
'a': Q(0),
'b': Q(0)
}
# x -> a b &(a,b) -> c -- x -> a b c d e
# c -> d &(c,d) -> e c -> d e
A = {'x': set(['a', 'b']), 'c': set(['d'])}
B = [(And('a', 'b'), 'c'), (And('c', 'd'), 'e')]
assert APPLY(A, B) == {
'x': (set(['a', 'b', 'c', 'd', 'e']), []),
'c': (set(['d', 'e']), []),
'a': Q(0),
'b': Q(0),
'd': Q(1)
}
# x -> a b &(a,y) -> z -- x -> a b y z
# &(a,b) -> y
A = {'x': set(['a', 'b'])}
B = [(And('a', 'y'), 'z'), (And('a', 'b'), 'y')]
assert APPLY(A, B) == {
'x': (set(['a', 'b', 'y', 'z']), []),
'a': (set(), [0, 1]),
'y': Q(0),
'b': Q(1)
}
# x -> a b &(a,!b) -> c -- x -> a b
A = {'x': set(['a', 'b'])}
B = [(And('a', '!b'), 'c')]
assert APPLY(A, B) == {'x': (set(['a', 'b']), []), 'a': Q(0), '!b': Q(0)}
# !x -> !a !b &(!a,b) -> c -- !x -> !a !b
A = {'!x': set(['!a', '!b'])}
B = [(And('!a', 'b'), 'c')]
assert APPLY(A, B) == {
'!x': (set(['!a', '!b']), []),
'!a': Q(0),
'b': Q(0)
}
# x -> a b &(b,c) -> !a -- x -> a b
A = {'x': set(['a', 'b'])}
B = [(And('b', 'c'), '!a')]
assert APPLY(A, B) == {'x': (set(['a', 'b']), []), 'b': Q(0), 'c': Q(0)}
# x -> a b &(a, b) -> c -- x -> a b c p
# c -> p a
A = {'x': set(['a', 'b']), 'c': set(['p', 'a'])}
B = [(And('a', 'b'), 'c')]
assert APPLY(A, B) == {
'x': (set(['a', 'b', 'c', 'p']), []),
'c': (set(['p', 'a']), []),
'a': Q(0),
'b': Q(0)
}
def test_apply_beta_to_alpha_route():
APPLY = apply_beta_to_alpha_route
# indicates empty alpha-chain with attached beta-rule #bidx
def Q(bidx):
return (set(), [bidx])
# x -> a &(a,b) -> x -- x -> a
A = {"x": set(["a"])}
B = [(And("a", "b"), "x")]
assert APPLY(A, B) == {"x": (set(["a"]), []), "a": Q(0), "b": Q(0)}
# x -> a &(a,!x) -> b -- x -> a
A = {"x": set(["a"])}
B = [(And("a", Not("x")), "b")]
assert APPLY(A, B) == {"x": (set(["a"]), []), Not("x"): Q(0), "a": Q(0)}
# x -> a b &(a,b) -> c -- x -> a b c
A = {"x": set(["a", "b"])}
B = [(And("a", "b"), "c")]
assert APPLY(A, B) == {
"x": (set(["a", "b", "c"]), []),
"a": Q(0),
"b": Q(0)
}
# x -> a &(a,b) -> y -- x -> a [#0]
A = {"x": set(["a"])}
B = [(And("a", "b"), "y")]
assert APPLY(A, B) == {"x": (set(["a"]), [0]), "a": Q(0), "b": Q(0)}
# x -> a b c &(a,b) -> c -- x -> a b c
A = {"x": set(["a", "b", "c"])}
B = [(And("a", "b"), "c")]
assert APPLY(A, B) == {
"x": (set(["a", "b", "c"]), []),
"a": Q(0),
"b": Q(0)
}
# x -> a b &(a,b,c) -> y -- x -> a b [#0]
A = {"x": set(["a", "b"])}
B = [(And("a", "b", "c"), "y")]
assert APPLY(A, B) == {
"x": (set(["a", "b"]), [0]),
"a": Q(0),
"b": Q(0),
"c": Q(0)
}
# x -> a b &(a,b) -> c -- x -> a b c d
# c -> d c -> d
A = {"x": set(["a", "b"]), "c": set(["d"])}
B = [(And("a", "b"), "c")]
assert APPLY(A, B) == {
"x": (set(["a", "b", "c", "d"]), []),
"c": (set(["d"]), []),
"a": Q(0),
"b": Q(0),
}
# x -> a b &(a,b) -> c -- x -> a b c d e
# c -> d &(c,d) -> e c -> d e
A = {"x": set(["a", "b"]), "c": set(["d"])}
B = [(And("a", "b"), "c"), (And("c", "d"), "e")]
assert APPLY(A, B) == {
"x": (set(["a", "b", "c", "d", "e"]), []),
"c": (set(["d", "e"]), []),
"a": Q(0),
"b": Q(0),
"d": Q(1),
}
# x -> a b &(a,y) -> z -- x -> a b y z
# &(a,b) -> y
A = {"x": set(["a", "b"])}
B = [(And("a", "y"), "z"), (And("a", "b"), "y")]
assert APPLY(A, B) == {
"x": (set(["a", "b", "y", "z"]), []),
"a": (set(), [0, 1]),
"y": Q(0),
"b": Q(1),
}
# x -> a b &(a,!b) -> c -- x -> a b
A = {"x": set(["a", "b"])}
B = [(And("a", Not("b")), "c")]
assert APPLY(A, B) == {
"x": (set(["a", "b"]), []),
"a": Q(0),
Not("b"): Q(0)
}
# !x -> !a !b &(!a,b) -> c -- !x -> !a !b
A = {Not("x"): set([Not("a"), Not("b")])}
B = [(And(Not("a"), "b"), "c")]
assert APPLY(A, B) == {
Not("x"): (set([Not("a"), Not("b")]), []),
Not("a"): Q(0),
"b": Q(0),
}
# x -> a b &(b,c) -> !a -- x -> a b
A = {"x": set(["a", "b"])}
B = [(And("b", "c"), Not("a"))]
assert APPLY(A, B) == {"x": (set(["a", "b"]), []), "b": Q(0), "c": Q(0)}
# x -> a b &(a, b) -> c -- x -> a b c p
# c -> p a
A = {"x": set(["a", "b"]), "c": set(["p", "a"])}
B = [(And("a", "b"), "c")]
assert APPLY(A, B) == {
"x": (set(["a", "b", "c", "p"]), []),
"c": (set(["p", "a"]), []),
"a": Q(0),
"b": Q(0),
}
def test_logic_xnotx():
assert And('a', '!a') == F
assert Or('a', '!a') == T