def test_wmc2(verbose=False):
vtree = Vtree(var_count=4, var_order=[2, 1, 4, 3], vtree_type="balanced")
sdd = SddManager.from_vtree(vtree)
a, b, c, d = [sdd.literal(i) for i in range(1, 5)]
# formula = (a & b) | c
formula = (a & b) | (b & c) | (c & d)
# -d -c -b -a a b c d
weights = array('d', [0.8, 0.7, 0.6, 0.5, 0.5, 0.4, 0.3, 0.2])
# Normal WMC
wmc = WmcManager(formula, log_mode=False)
wmc.set_literal_weights_from_array(weights)
wmc_result = wmc.propagate()
# Stochastic WMC
wmcs = WmcStochastic(formula, log_mode=False)
wmcs.set_literal_weights_from_array(weights)
nb_pos, nb_neg, scaling = 0, 0, 1
wmcs_results = []
iterations = 1000
for i in range(iterations):
random.seed()
nb_pos_i, nb_neg_i, scaling_i = wmcs.propagate_counts(bitlength=10)
nb_pos += nb_pos_i
nb_neg += nb_neg_i
scaling = scaling_i
wmcs_results.append((nb_pos / (nb_pos + nb_neg)) * scaling)
print(wmcs_results[-1])
if verbose:
import matplotlib.pyplot as plt
plt.plot([i*10 for i in range(iterations)], [wmc_result]*iterations)
plt.plot([i*10 for i in range(iterations)], wmcs_results)
plt.savefig("stochastic_wmc.png")
def test_wmc1(verbose=False):
vtree = Vtree(var_count=4, var_order=[2, 1, 4, 3], vtree_type="balanced")
sdd = SddManager.from_vtree(vtree)
a, b, c, d = [sdd.literal(i) for i in range(1, 5)]
# formula = (a & b) | c
formula = (a & b) | (b & c) | (c & d)
if verbose:
with open("sdd.dot", "w") as out:
print(formula.dot(), file=out)
# -d -c -b -a a b c d
weights = array('d', [0.8, 0.7, 0.6, 0.5, 0.5, 0.4, 0.3, 0.2])
# Normal WMC
wmc = WmcManager(formula, log_mode=False)
print(f"MC = {wmc.propagate()}")
wmc.set_literal_weights_from_array(weights)
wmc_result = wmc.propagate()
print(f"WMC-Normal = {wmc_result}")
# Stochastic WMC
wmcs = WmcStochastic(formula, log_mode=False)
wmcs.set_literal_weights_from_array(weights)
wmcs_result = wmcs.propagate(bitlength=1000)
print(f"WMC-Stochastic = {wmcs_result}")
def main():
# set up vtree and manager
vtree = Vtree.from_file("input/opt-swap.vtree".encode())
manager = SddManager.from_vtree(vtree)
print("reading sdd from file ...")
alpha = manager.read("input/opt-swap.sdd".encode())
print(f" sdd size = {alpha.size()}")
# ref, perform the minimization, and then de-ref
alpha.ref()
print("minimizing sdd size ... ", end="")
manager.minimize() # see also manager.minimize_limited()
print("done!")
print(f" sdd size = {alpha.size()}")
alpha.deref()
# augment the SDD
print("augmenting sdd ...")
beta = alpha * (manager.l(4) + manager.l(5))
print(f" sdd size = {beta.size()}")
# ref, perform the minimization again on new SDD, and then de-ref
beta.ref()
print("minimizing sdd ... ", end="")
manager.minimize()
print("done!")
print(f" sdd size = {beta.size()}")
beta.deref()
def main():
# Start from a given CNF and VTREE file
vtree = Vtree.from_file(bytes(here / "input" / "simple.vtree"))
sdd = SddManager.from_vtree(vtree)
print(f"Created an SDD with {sdd.var_count()} variables")
root = sdd.read_cnf_file(bytes(here / "input" / "simple.cnf"))
# For DNF functions use `read_dnf_file`
# If the vtree is not given, you can also use 'from_cnf_file`
# Model Counting
wmc = root.wmc(log_mode=True)
w = wmc.propagate()
print(f"Model count: {int(math.exp(w))}")
# Weighted Model Counting
lits = [None] + [sdd.literal(i) for i in range(1, sdd.var_count() + 1)]
# Positive literal weight
wmc.set_literal_weight(lits[1], math.log(0.5))
# Negative literal weight
wmc.set_literal_weight(-lits[1], math.log(0.5))
w = wmc.propagate()
print(f"Weighted model count: {math.exp(w)}")
# Visualize SDD and VTREE
print("saving sdd and vtree ... ", end="")
with open(here / "output" / "sdd.dot", "w") as out:
print(sdd.dot(), file=out)
with open(here / "output" / "vtree.dot", "w") as out:
print(vtree.dot(), file=out)
print("done")
def main():
# set up vtree and manager
vtree = Vtree.from_file(bytes(here / "input" / "big-swap.vtree"))
manager = SddManager.from_vtree(vtree)
print("reading sdd from file ...")
alpha = manager.read_sdd_file("input/big-swap.sdd".encode())
print(f" sdd size = {alpha.size()}")
# to perform a swap, we need the manager's vtree
manager_vtree = manager.vtree()
# ref alpha (no dead nodes when swapping)
alpha.ref()
# using size of sdd normalized for manager_vtree as baseline for limit
manager.init_vtree_size_limit(manager_vtree)
limit = 2.0
manager.set_vtree_operation_size_limit(limit)
print(f"modifying vtree (swap node 7) (limit growth by {limit:.1f}x) ... ", end="")
succeeded = manager_vtree.swap(manager, 1) # limited
print("succeeded!" if succeeded == 1 else "did not succeed!")
print(f" sdd size = {alpha.size()}")
print("modifying vtree (swap node 7) (no limit) ... ", end="")
succeeded = manager_vtree.swap(manager, 0) # not limited
print("succeeded!" if succeeded == 1 else "did not succeed!")
print(f" sdd size = {alpha.size()}")
print("updating baseline of size limit ...")
manager.update_vtree_size_limit()
left_vtree = manager_vtree.left()
limit = 1.2
manager.set_vtree_operation_size_limit(limit)
print(f"modifying vtree (swap node 5) (limit growth by {limit}x) ... ", end="")
succeeded = left_vtree.swap(manager, 1) # limited
print("succeeded!" if succeeded == 1 else "did not succeed!")
print(f" sdd size = {alpha.size()}")
limit = 1.3
manager.set_vtree_operation_size_limit(limit)
print(f"modifying vtree (swap node 5) (limit growth by {limit}x) ... ", end="")
succeeded = left_vtree.swap(manager, 1) # limited
print("succeeded!" if succeeded == 1 else "did not succeed!")
print(f" sdd size = {alpha.size()}")
# deref alpha, since ref's are no longer needed
alpha.deref()
def main():
# set up vtree and manager
var_count = 4
vtree_type = "right".encode()
vtree = Vtree(var_count=var_count, vtree_type=vtree_type)
manager = SddManager(vtree=vtree)
x = [None] + [manager.literal(i) for i in range(1, 5)]
# construct the term X_1 ^ X_2 ^ X_3 ^ X_4
alpha = x[1] & x[2] & x[3] & x[4]
# construct the term ~X_1 ^ X_2 ^ X_3 ^ X_4
beta = ~x[1] & x[2] & x[3] & x[4]
# construct the term ~X_1 ^ ~X_2 ^ X_3 ^ X_4
gamma = ~x[1] & ~x[2] & x[3] & x[4]
print("== before referencing:")
print(f" live sdd size = {manager.live_size()}")
print(f" dead sdd size = {manager.dead_size()}")
# ref SDDs so that they are not garbage collected
alpha.ref()
beta.ref()
gamma.ref()
print("== after referencing:")
print(f" live sdd size = {manager.live_size()}")
print(f" dead sdd size = {manager.dead_size()}")
# garbage collect
manager.garbage_collect()
print("== after garbage collection:")
print(f" live sdd size = {manager.live_size()}")
print(f" dead sdd size = {manager.dead_size()}")
alpha.deref()
beta.deref()
gamma.deref()
print("saving vtree & shared sdd ...")
if not Path("output").is_dir():
raise Exception(f"Directory 'output' does not exist")
vtree.save_as_dot("output/shared-vtree.dot".encode())
manager.shared_save_as_dot("output/shared.dot".encode())
def main():
# set up vtree and manager
vtree = Vtree.from_file(bytes(here / "input" / "rotate-left.vtree"))
manager = SddManager.from_vtree(vtree)
# construct the term X_1 ^ X_2 ^ X_3 ^ X_4
x = [None] + [manager.literal(i) for i in range(1, 5)]
alpha = x[1]*x[2]*x[3]*x[4]
# to perform a rotate, we need the manager's vtree
manager_vtree = manager.vtree()
manager_vtree_right = manager_vtree.right()
print("saving vtree & sdd ...")
manager_vtree.save_as_dot("output/before-rotate-vtree.dot".encode())
alpha.save_as_dot("output/before-rotate-sdd.dot".encode())
# ref alpha (so it is not gc'd)
alpha.ref()
# garbage collect (no dead nodes when performing vtree operations)
print(f"dead sdd nodes = {manager.dead_count()}")
print("garbage collection ...")
manager.garbage_collect()
print(f"dead sdd nodes = {manager.dead_count()}")
print("left rotating ... ", end="")
succeeded = manager_vtree_right.rotate_left(manager, 0)
print("succeeded!" if succeeded == 1 else "did not succeed!")
# deref alpha, since ref's are no longer needed
alpha.deref()
# the root changed after rotation, so get the manager's vtree again
# this time using root_location
manager_vtree = manager.vtree()
print("saving vtree & sdd ...")
manager_vtree.save_as_dot("output/after-rotate-vtree.dot".encode())
alpha.save_as_dot("output/after-rotate-sdd.dot".encode())
def main():
# set up vtree and manager
var_count = 4
var_order = [2, 1, 4, 3]
vtree_type = "balanced"
vtree = Vtree(var_count, var_order, vtree_type)
manager = SddManager.from_vtree(vtree)
# construct a formula (A^B)v(B^C)v(C^D)
print("constructing SDD ... ")
a, b, c, d = [manager.literal(i) for i in range(1, 5)]
alpha = (a & b) | (b & c) | (c & d)
print("done")
print("saving sdd and vtree ... ")
with open("output/sdd.dot", "w") as out:
print(alpha.dot(), file=out)
with open("output/vtree.dot", "w") as out:
print(vtree.dot(), file=out)
print("done")
def main(argv=None):
options, args = getopt(argv)
fnf = None
weights = None
if options.cnf_filename is not None:
print("reading cnf...")
fnf = Fnf.from_cnf_file(bytes(options.cnf_filename))
weights = read_weights(options.cnf_filename)
elif options.dnf_filename is not None:
print("reading dnf...")
fnf = Fnf.from_dnf_file(bytes(options.dnf_filename))
weights = read_weights(options.cnf_filename)
if options.vtree_filename is not None:
print("reading initial vtree...")
vtree = Vtree.from_file(bytes(options.vtree_filename))
else:
if fnf is None:
raise argparse.ArgumentTypeError("CNF or DNF file required")
print(f"creating initial vtree {options.initial_vtree_type.decode()}")
vtree = Vtree(var_count=fnf.var_count,
vtree_type=options.initial_vtree_type)
print("creating manager...")
manager = SddManager.from_vtree(vtree)
manager.set_options(options)
if options.sdd_filename is None:
print("compiling...")
c1 = time.time()
node = manager.fnf_to_sdd(fnf)
c2 = time.time()
secs = c2 - c1
print("")
print(f"compilation time : {secs:.3f} sec")
else:
print("reading sdd from file...")
c1 = time.time()
node = manager.read_sdd_file(options.sdd_filename)
c2 = time.time()
secs = c2 - c1
print(f"read time : {secs:.3f} sec")
weights = read_weights(options.sdd_filename)
wmc = create_wmc(node, weights, args)
print_node(node, wmc)
if options.verbose:
manager.print_stdout()
if options.minimize_cardinality:
print("\nminimizing cardinality...", end="")
c1 = time.time()
node = manager.global_minimize_cardinality(node)
c2 = time.time()
min_card = manager.minimum_cardinality(node)
print("")
wmc = create_wmc(node, weights, args)
print_node(node, wmc)
print(f" min cardinality : {min_card} {c2-c1:.3f} sec")
manager_vtree = manager.vtree()
if options.post_search:
node.ref()
print("dynamic vtree (post compilation)")
print(f" sdd initial size : {node.size()}")
c1 = time.time()
manager.minimize_limited()
c2 = time.time()
print(f" dynamic vtree time : {c2-c1:.3f} sec")
wmc = create_wmc(node, weights, args)
print_node(node, wmc)
node.deref()
if options.verbose:
manager.print_stdout()
if options.output_sdd_filename is not None:
print("saving compiled sdd ...", end="")
node.save(options.output_sdd_filename)
print("done")
if options.output_sdd_dot_filename is not None:
print("saving compiled sdd (dot) ...", end="")
node.save_as_dot(options.output_sdd_dot_filename)
print("done")
if options.output_vtree_filename is not None:
print("saving vtree ...", end="")
manager_vtree.save(options.output_vtree_filename)
print("done")
if options.output_vtree_dot_filename is not None:
print("saving vtree (dot) ...", end="")
manager_vtree.save_as_dot(options.output_vtree_dot_filename)
print("done")
print("done")