def pre_upward(petrinet, markings, precomputed=None, prune=True):
pre_matrix, post_matrix = petrinet
num_places, num_transitions = pre_matrix.shape
basis = set()
for m in markings:
if precomputed is not None and m in precomputed:
to_merge = {
pre_m
for pre_m in precomputed[m] if not in_upward(pre_m, markings)
}
merge_upward(basis, to_merge)
continue
else:
precomputed[m] = set()
for t in range(num_transitions):
pre_m = [0] * num_places
for p in range(num_places):
pre, post = int(pre_matrix[p, t]), int(post_matrix[p, t])
pre_m[p] = max(pre, m[p] + pre - post)
pre_m = tuple(pre_m)
if precomputed is not None:
update_upward(precomputed[m], pre_m)
if not prune or not in_upward(pre_m, markings):
update_upward(basis, pre_m)
return basis
def coverability(petrinet, init, targets, prune=False, max_iter=None):
# Verify if non coverable in CPN first
if prune and non_coverable(petrinet, init, targets):
return False
# Otherwise, proceed with backward coverability
def smallest_elems(x):
return set(sorted(x, key=sum_norm)[:int(10 + 0.2 * len(x))])
solver, variables = build_cpn_solver(petrinet,
init,
targets=None,
domain='N')
_, _, target_vars = variables
def coverable(markings):
return check_cpn_coverability_z3(solver, target_vars, markings)
init_marking = _omega_marking(init)
basis = {tuple(constraint_vector(m)) for m in targets}
precomputed = {}
covered = in_upward(init_marking, basis)
num_iter = 0
while not covered:
if max_iter is not None and num_iter >= max_iter:
return None # Unknown result
else:
num_iter += 1
# Compute prebasis
prebasis = pre_upward(petrinet, basis, precomputed)
# Coverability pruning
pruned = {x for x in prebasis if prune and not coverable([x])}
prebasis.difference_update(pruned)
for x in pruned:
solver.add(z3.Or([target_vars[p] < x[p] for p in range(len(x))]))
# Continue?
if len(prebasis) == 0:
break
else:
prebasis = smallest_elems(prebasis)
merge_upward(basis, prebasis)
covered = in_upward(init_marking, basis)
return covered
def pre_upward_for_one_element(petrinet,element,transitions,basis):
pre_matrix, post_matrix = petrinet
num_places, num_transitions = pre_matrix.shape
res = []
for t in range(num_transitions):
pre_m = [0] * num_places
for p in range(num_places):
pre, post = int(pre_matrix[p, t]), int(post_matrix[p, t])
pre_m[p] = max(pre, element[p] + pre - post)
pre_m = tuple(pre_m)
if not in_upward(pre_m,basis):
#print "pre_m",pre_m
res.append(pre_m)
return res
def limit_coverability(petrinet, init, targets, prune=False, max_iter=None):
# use state equation
# add by GLS
# Verify if non coverable in CPN first
transitions = get_transitions(petrinet)
if prune and limit_non_coverable(transitions, init, targets):
print "result find with non_coverable"
return False
# Otherwise, proceed with backward coverability
def smallest_elems(x):
return set(sorted(x, key=sum_norm)[:int(10 + 0.2 * len(x))])
solver,target_vars = build_limit_solver(transitions,init)
def limit_coverable(markings):
return check_limit_coverability_z3(solver, markings)
init_marking = _omega_marking(init)
basis = {tuple(constraint_vector(m)) for m in targets}
precomputed = {}
covered = in_upward(init_marking, basis)
num_iter = 0
while not covered:
if max_iter is not None and num_iter >= max_iter:
return None # Unknown result
else:
num_iter += 1
# Compute prebasis
#time_before = time.time()
prebasis = pre_upward(petrinet, basis, precomputed)
#time_after = time.time()
#print "time pre upward :", time_after - time_before
# Coverability pruning
#time_before = time.time()
pruned = {x for x in prebasis if prune and not limit_coverable([x])}
nbpruned = len(pruned)
#time_after = time.time()
#print "time to prune:", time_after - time_before
prebasis.difference_update(pruned)
# Continue?
if len(prebasis) == 0:
break
else:
prebasis = smallest_elems(prebasis)
merge_upward(basis, prebasis)
covered = in_upward(init_marking, basis)
#print "numbers",num_iter,len(prebasis)+nbpruned,nbpruned
#print "total build time :", total_build_time
#print "total check time :", total_check_time
#print "numbers",num_iter,len(prebasis)+nbpruned,nbpruned
return covered
def is_already_seen(basis,element):
#print "already seen ? basis:",basis
return in_upward(element,basis)
def comparable_coverability(petrinet, init, targets, prune=False, max_iter=None):
global total_check_time
global total_build_time
global UUcomp
global nbcomp
global error
# Verify if non coverable in CPN first
if prune and non_coverable(petrinet, init, targets):
print "non_coverable in Q"
print "result find with non_coverable"
return False
# Otherwise, proceed with backward coverability
def smallest_elems(x):
return set(sorted(x, key=sum_norm)[:int(10 + 0.2 * len(x))])
solverQ, variables = build_cpn_solver(petrinet, init, targets=None,
domain='N')
transitions = get_transitions(petrinet)
solverL,_ = build_limit_solver(transitions,init)
_, _, target_vars = variables
def comparaison_coverable(markings):
global glitch
global UUcomp
global nbcomp
global error
nbcomp += 1
#print solverQ
#print solverL
resQ = check_cpn_coverability_z3(solverQ, target_vars, markings)
resL = check_limit_coverability_z3(solverL, markings)
if resQ and resL == False:
print "qcover solver say cover and limit solver say not cover"
print "impossible"
print "error"
#print markings
error +=1
print
exit(1)
if resQ == False and resL:
glitch +=1
return resQ
init_marking = _omega_marking(init)
basis = {tuple(constraint_vector(m)) for m in targets}
precomputed = {}
covered = in_upward(init_marking, basis)
num_iter = 0
while not covered:
if max_iter is not None and num_iter >= max_iter:
return None # Unknown result
else:
num_iter += 1
# Compute prebasis
print "step :",num_iter
prebasis = pre_upward(petrinet, basis, precomputed)
# Coverability pruning
nbover = glitch
pruned = {x for x in prebasis if prune and not comparaison_coverable([x])}
print "nb over ", glitch-nbover
print "prebasis size : ", len(prebasis)
print "size of pruned :", len(pruned)
prebasis.difference_update(pruned)
for x in pruned:
solverQ.add(z3.Or([target_vars[p] < x[p] for p in
range(len(x))]))
# Continue?
if len(prebasis) == 0:
break
else:
prebasis = smallest_elems(prebasis)
merge_upward(basis, prebasis)
covered = in_upward(init_marking, basis)
print
print "total build time :", total_build_time
print "total check time :", total_check_time
print "glitch: ", glitch
print "error", error
print "comparison", nbcomp
return covered
