def test_run_3cnf(self):
self.assertTrue(run_3cnf(check_3cnf("0|1|10")[1], [0, 0, 1]))
self.assertFalse(run_3cnf(check_3cnf("0|1|10")[1], [0, 0, 0]))
self.assertFalse(run_3cnf(check_3cnf("~0|1|10")[1], [1, 0, 0]))
self.assertTrue(run_3cnf(check_3cnf("~0|1|10")[1], [1, 0, 1]))
self.assertTrue(
run_3cnf(check_3cnf("0|1|10&0|11|~100")[1], [0, 0, 1, 0, 0]))
def test_check_3cnf(self):
self.assertTrue(check_3cnf("0|1|10")[0])
self.assertTrue(check_3cnf("~0|1|10")[0])
self.assertTrue(check_3cnf("~0|~1|~10")[0])
self.assertTrue(check_3cnf("0|1|10&0|11|~100")[0])
self.assertFalse(check_3cnf("0")[0])
self.assertFalse(check_3cnf("0|1|11")[0])
self.assertFalse(check_3cnf("lajksdh")[0])
self.assertFalse(check_3cnf("0|10&11|100")[0])
self.assertFalse(check_3cnf("")[0])
def check_3sat(phi):
phi, n = check_3cnf(phi)[1:]
old_rho = {}
for i in phi:
for j in i:
old_rho[(j[-1], len(j))] = True
rho = {}
for i in range(n):
if (i, 1) not in old_rho:
rho[i] = False
elif (i, 2) not in old_rho:
rho[i] = True
for i in phi:
for j in range(len(i)):
i[j] = tuple(i[j])
phi = set([tuple(i) for i in phi])
flag = False
to_remove = []
for i in phi:
for j in i:
if (j[-1] in rho):
flag = True
if (flag):
to_remove += [i]
flag = False
for i in to_remove:
phi.remove(i)
if (len(phi) == 0):
return (True, [int(rho[i]) if i in rho else 0 for i in range(n)])
return dpll(phi, rho, n)
def check_3sat(phi):
correct = check_3cnf(phi)
if not correct[0]:
return False
for n in itertools.count(start=1):
tms = 0
for tm_item in generate_all_tms():
tms += 1
if (tms == n):
break
tm = copy.deepcopy(tm_item)
for i in range(len(phi)):
tm.tape[i] = ord(phi[i])
count = 0
while (count < n and not tm.make_step()):
count += 1
if (tm.make_step()):
est = [0] * correct[2]
for i in range(len(est)):
est[i] = tm.tape[i]
if (run_3cnf(correct[1], est)):
print(tm_item)
print(tm)
return (True, est)
if (n >= 2**(correct[2]) * correct[2]):
print("Switching to dpll")
return dpll.check_3sat(phi)
def check_3sat(phi):
disjuncts, n = check_3cnf(phi)[1:]
for est in generate_estimations(n):
if (run_3cnf(copy.deepcopy(disjuncts), est)):
return (True, est)
return (False, None)
def if_solution_true(self, phi):
result = dpll.check_3sat(phi)
self.assertTrue(result[0])
self.assertTrue(run_3cnf(check_3cnf(phi)[1], result[1]))