def is_fast(protocol, valuation, disabled):
graph, vertices, edges = transformation_graph(protocol, valuation,
disabled)
components, _, is_bottom = label_components(graph, attractors=True)
U = {q for q in vertices if not is_bottom[components[vertices[q]]]}
R = {q: set() for q in vertices}
expV = set()
for (p, q) in edges:
if components[vertices[p]] != components[vertices[q]]:
for t in edges[p, q]:
expV.add(t.pre)
if t.pre not in disabled:
for r in (set(t.pre) & U):
R[r].add(t.pre)
for q in U:
formula = Formula(valuation, disabled)
formula.assert_some_pair_present(expV)
formula.assert_some_states_present({q})
if not formula.implies_some_present_tautology_check(R[q]):
return False
return True
def new_stage(protocol, stage, valuation, mem):
new_valuation = new_stage_valuation(protocol, valuation, stage.disabled)
if is_stable_or_dead(protocol, new_valuation, stage.disabled):
return Stage(Formula(new_valuation),
new_valuation,
stage.disabled,
speed=Speed.ZERO,
parent=stage)
F, J = eventually_disabled(protocol, new_valuation, stage.disabled, mem)
# Compute new_formula (Φ) and new_disabled (T)
if len(F) > 0:
if len(J) > 0:
new_disabled = set(stage.disabled) | set(J)
new_formula = Formula(new_valuation, new_disabled)
if v_disabled(J, valuation):
new_formula.assert_valuation(valuation)
elif v_enabled(J, valuation):
K = posts_from_pres(protocol, new_valuation, J)
new_formula.assert_some_pair_present(K)
# Compute speed
if is_very_fast(protocol, new_valuation, stage.disabled):
new_speed = Speed.QUADRATIC
elif is_fast(protocol, new_valuation, stage.disabled):
new_speed = Speed.QUADRATIC_LOG
else:
new_speed = Speed.CUBIC
else:
new_disabled = set(stage.disabled) | set(F)
new_formula = Formula(new_valuation, new_disabled)
new_speed = Speed.POLYNOMIAL
else:
new_disabled = set(stage.disabled)
new_formula = Formula(new_valuation, new_disabled)
new_speed = Speed.EXPONENTIAL
I = compute_I(protocol, new_valuation, stage.disabled)
if any(valuation[Var(q)] is True for q in I):
L = compute_L(protocol, new_valuation, stage.disabled, I)
new_formula.assert_all_states_absent(I)
new_formula.assert_some_pair_present(L)
elif all(valuation[Var(q)] is False for q in I):
new_formula.assert_valuation(valuation)
else:
new_formula.assert_all_states_absent(I)
return Stage(new_formula,
new_valuation,
new_disabled,
speed=new_speed,
parent=stage)
