def try_decide_less_weak(lhs, rhs):
"""Weak decision procedure returning True, False, or None."""
assert is_code(lhs), lhs
assert is_code(rhs), rhs
# Try simple cases.
if lhs is BOT or lhs is rhs or rhs is TOP:
return True
if lhs is TOP and rhs is BOT:
return False
# Destructure JOIN.
if is_join(lhs):
return trool_all(try_decide_less_weak(i, rhs) for i in iter_join(lhs))
if is_join(rhs):
# This requires we give up at unreduced terms.
return trool_any(try_decide_less_weak(lhs, i) for i in iter_join(rhs))
# Destructure ABS.
while is_abs(lhs) or is_abs(rhs):
lhs = unabstract(lhs)
rhs = unabstract(rhs)
assert lhs is not rhs, lhs
# Destructure APP.
lhs_head, lhs_args = unapply(lhs)
rhs_head, rhs_args = unapply(rhs)
# Give up at unreduced terms.
if is_abs(lhs_head) or is_abs(rhs_head):
if len(lhs_args) == len(rhs_args):
if try_decide_less_weak(lhs_head, rhs_head) is True:
if all(try_decide_less_weak(i, j) is True
for i, j in zip(lhs_args, rhs_args)):
return True
return None
if lhs_args and not is_var(lhs_head):
return None
if rhs_args and not is_var(rhs_head):
return None
# Distinguish solvable terms.
if is_var(lhs_head) and is_var(rhs_head):
if lhs_head is not rhs_head or len(lhs_args) != len(rhs_args):
return False
return trool_all(
try_decide_less_weak(i, j)
for i, j in zip(lhs_args, rhs_args)
)
# Distinguish quoted terms.
if is_quote(lhs_head) and is_quote(rhs_head):
return try_decide_equal(lhs_head[1], rhs_head[1])
# Anything else is incomparable.
return False
def approximate_var(code, direction, rank):
"""Locally approximate wrt one variable."""
assert is_code(code), code
assert direction is TOP or direction is BOT, direction
assert isinstance(rank, int) and rank >= 0, rank
result = set()
if not occurs(code, rank):
result.add(code)
elif is_ivar(code):
assert code[1] == rank, code
result.add(code)
result.add(direction)
elif is_app(code):
for lhs in approximate_var(code[1], direction, rank):
for rhs in approximate_var(code[2], direction, rank):
result.add(app(lhs, rhs))
elif is_abs(code):
for body in approximate_var(code[1], direction, rank + 1):
result.add(abstract(body))
elif is_join(code):
for lhs in approximate_var(code[1], direction, rank):
for rhs in approximate_var(code[2], direction, rank):
result.add(join(lhs, rhs))
else:
raise ValueError(code)
return tuple(sorted(result, key=complexity))
def test_try_compute_step_runs(code):
for step in xrange(5):
with xfail_if_not_implemented():
result = try_compute_step(code)
if is_normal(code):
assert result is None
return
else:
assert is_code(result)
def is_linear(code):
"""Return whether code never copies a bound IVAR."""
assert is_code(code), code
return _is_linear(code) is not None