def symread_eq(a, b, size=MAX_SYM_READ_SIZE):
if not isinstance(a, SymRead) and not isinstance(b, SymRead):
if a.size() != b.size():
return z3.BoolVal(False)
else:
return a == b
elif isinstance(a, SymRead) and isinstance(b, SymRead):
# both have symbolic size
return z3.And(a.size == b.size,
*(z3.If(z3.ULT(i, a.size), a.memory[a.start + i] == b.memory[b.start + i], True) for i in
range(size)))
else:
if isinstance(b, SymRead):
# ensure that a is the one with symbolic size
a, b = b, a
return z3.And(a.size == (b.size() // 8), z3.Concat(*a.memory.read(a.start, b.size() // 8)) == b)
def check_kills(f_pos, f_neg, mutants, test, aps):
""" Checks which mutants out of a given list get killed by a given test. """
cnf = stl_model_to_cnf(test, aps)
s = z3.Solver()
count = 1 # Initialized with 1 due to mutant that was used to generate test
for i in range(0, len(mutants)):
m = mutants[i]
if m.killed: continue
s.push()
s.add(
z3.Or(z3.And(f_pos, z3.And(cnf), m.z3_neg),
z3.And(f_neg, m.z3_pos, z3.And(cnf))))
if s.check() == z3.sat:
mutants[i].killed = True
count += 1
s.pop()
return count
def does_test_kill(original_pos, original_neg, formula_pos, formula_neg, test,
cons):
"""
Checks whether the given test kills the given formula.
Args:
original_pos (z3 instance) : Positive encoded temporal logic formula for which test was generated.
original_neg (z3 instance) : Negative encoded temporal logic formula for which test was generated.
formula_pos (z3 instance) : Positive encoded temporal logic formula that is checked against the given test.
formula_neg (z3 instance) : Negative encoded temporal logic formula that is checked against the given test.
test (z3 model) : Test signal that either does or does not kill the given formula.
cons (list) : z3 instances of constants used in test and formula.
Returns:
bool : True if test kills the given formula, else false.
"""
s = z3.Solver()
s.add(
z3.Or(
z3.And(original_pos, z3.And(stl_model_to_cnf(test, cons)),
formula_neg),
z3.And(original_neg, formula_pos,
z3.And(stl_model_to_cnf(test, cons)))))
return True if s.check() == z3.sat else False
def addTickStep(self, clock):
tick = self.tickDict["t_%s" % (clock)]
history = self.historyDict["h_%s" % (clock)]
if "s_%s" % (clock) not in self.tickStep.keys():
tickStep = z3.Function("s_%s" % (clock), z3.IntSort(),
z3.IntSort())
self.tickStep["s_%s" % (clock)] = tickStep
if self.bound > 0:
x = z3.Int("x")
# If the bound is infinite, we define the history of the clock infinitely.
for i in range(1, self.bound + 1):
self.solver.add(
z3.Implies(tick(i),
tickStep(history(i) + 1) == i))
elif self.bound == 0:
x = z3.Int("x")
# If the bound is infinite, we define the history of the clock infinitely.
self.solver.add(
z3.ForAll(
x,
z3.Implies(z3.And(x >= 1, tick(x)),
tickStep(history(x) + 1) == x)))
def generate_assignments(thresh=2):
solver = z3.Solver()
# Block 1
block_1 = {'b1_1': 'move'}
block_1_obj = SMT_Block(block_1, thresh)
values = block_1_obj.block_values
block_1_vars = [ele.var for ele in block_1_obj.block_z3_vars
] # for the conditional constraints
c1 = z3.Int('c1') # bool_path_left (if_only)
values.append(z3.Or(c1 == 8, c1 == 9))
block_2 = {'b2_1': 'turn_left'}
block_2_obj = SMT_Block(block_2, thresh)
values.extend(block_2_obj.block_values)
block_2_vars = [ele.var for ele in block_2_obj.block_z3_vars
] # for the conditional constraints
block_3 = {'b3_1': 'phi'}
block_3_obj = SMT_Block(block_3, thresh)
values.extend(block_3_obj.block_values)
block_3_vars = [ele.var for ele in block_3_obj.block_z3_vars
] # for the conditional constraints
# all block objects
block_objs = [block_1_obj, block_2_obj, block_3_obj]
X = [ele.var for ele in block_1_obj.block_z3_vars
] # added the variables for block 1
X.append(c1) # added the conditional variable
X.extend([ele.var for ele in block_2_obj.block_z3_vars
]) # added the variables for block 2
X.extend([ele.var for ele in block_3_obj.block_z3_vars
]) # added the variables for block 3
constraints = block_1_obj.block_append_constraints + block_1_obj.flip_turns_constraints + block_1_obj.block_elimination_constraints + \
block_2_obj.block_append_constraints + block_2_obj.flip_turns_constraints + block_2_obj.block_elimination_constraints + \
block_3_obj.block_append_constraints + block_3_obj.flip_turns_constraints + block_3_obj.block_elimination_constraints
single_block_change_cons = single_block_change(block_objs)
constraints.extend(single_block_change_cons)
constraints.extend([
# conditional constraints: if(path_left)
z3.Implies(c1 == 8, z3.Or(block_2_vars[0] == 2, block_2_vars[1] == 2,
block_2_vars[2] == 2, block_2_vars[3] == 2,
block_2_vars[4] == 2,
)),
z3.Implies(z3.And(c1 == 8, block_2_vars[1] == 2, block_2_vars[0] != 2), z3.And(block_2_vars[0] != 1, block_2_vars[0] != 3 )),
z3.Implies(z3.And(c1 == 8, block_2_vars[2] == 2, block_2_vars[0] != 2, block_2_vars[1] != 2),
z3.And(block_2_vars[0] != 1, block_2_vars[0] != 3, block_2_vars[1] != 1, block_2_vars[1] != 3)),
z3.Implies(z3.And(c1 == 8, block_2_vars[3] == 2, block_2_vars[0] != 2,
block_2_vars[1] != 2, block_2_vars[2] != 2), z3.And(block_2_vars[0] != 1, block_2_vars[0] != 3, block_2_vars[1] != 1, \
block_2_vars[1] != 3, block_2_vars[2] != 1, block_2_vars[2] != 3)),
z3.Implies(z3.And(c1 == 8, block_2_vars[4] == 2, block_2_vars[0] != 2,
block_2_vars[1] != 2, block_2_vars[2] != 2, block_2_vars[3] != 2), z3.And(block_2_vars[0] != 1, block_2_vars[0] != 3,
block_2_vars[1] != 1, block_2_vars[1] != 3,
block_2_vars[2] != 1, block_2_vars[2] != 3,
block_2_vars[3] != 1, block_2_vars[3] != 3)),
# conditional constraints: if(path_right)
z3.Implies(c1 == 9, z3.Or(block_2_vars[0] == 3, block_2_vars[1] == 3,
block_2_vars[2] == 3, block_2_vars[3] == 3,
block_2_vars[4] == 3,
)),
z3.Implies(z3.And(c1 == 9, block_2_vars[1] == 3, block_2_vars[0] != 3,
), z3.And(block_2_vars[0] != 1, block_2_vars[0] != 2)),
z3.Implies(z3.And(c1 == 9, block_2_vars[2] == 3, block_2_vars[0] != 3,
block_2_vars[1] != 3), z3.And(block_2_vars[0]!= 1, block_2_vars[0] != 2,
block_2_vars[1] != 1, block_2_vars[1] != 2)),
z3.Implies(z3.And(c1 == 9, block_2_vars[3] == 3, block_2_vars[0] != 3,
block_2_vars[1] != 3, block_2_vars[2] != 3),
z3.And(block_2_vars[0] != 1, block_2_vars[0] != 2,
block_2_vars[1] != 1, block_2_vars[1] != 2,
block_2_vars[2] != 1, block_2_vars[2] != 2)),
z3.Implies(z3.And(c1 == 9, block_2_vars[4] == 3, block_2_vars[0] != 3,
block_2_vars[1] != 3, block_2_vars[2] != 3, block_2_vars[3] != 3 ),
z3.And(block_2_vars[0] != 1, block_2_vars[0] != 2,
block_2_vars[1] != 1, block_2_vars[1] != 2,
block_2_vars[2] != 1, block_2_vars[2] != 2,
block_2_vars[3] != 1, block_2_vars[3] != 2)),
])
# add the values and the constraints
solver.add(values + constraints)
# generate all the assignments
models = gen_all(solver, X)
assignments = []
for model in models:
a = ['repeat_until_goal(bool_goal)']
a.extend([
type_to_str[VariableType(model[ele].as_long())]
for ele in X[:block_1_obj.size]
])
a.append(type_to_str[ConditionalType(model[c1].as_long())])
a.extend([
type_to_str[VariableType(model[ele].as_long())]
for ele in X[block_1_obj.size + 1:]
])
a.extend([
type_to_str[VariableType(model[ele].as_long())]
for ele in block_3_vars
])
assignments.append(a)
#print(a)
#print('Found #{} SAT values'.format(len(models)))
return assignments
def generate_assignments(thresh=2, id='karel'):
solver = z3.Solver()
# declare the SMT variables for the specific code
# Block 1
block_1 = {'b1_1': 'put_marker'}
block_1_obj = SMT_Block(block_1, thresh, id=id)
values = block_1_obj.block_values
block_1_vars = [ele.var for ele in block_1_obj.block_z3_vars
] # for the conditional constraints
c1 = z3.Int('c1') # bool_path_ahead (while)
values.append(z3.Or(c1 == 7,
c1 == 12)) # bool_path_ahead, bool_no_path_ahead
block_2 = {
'b2_1': 'move',
'b2_2': 'turn_left',
'b2_3': 'move',
'b2_4': 'turn_right',
'b2_5': 'put_marker'
}
block_2_obj = SMT_Block(block_2, thresh, id=id)
values.extend(block_2_obj.block_values)
block_2_vars = [ele.var for ele in block_2_obj.block_z3_vars
] # for the conditional constraints
block_3 = {'b3_1': 'phi'}
block_3_obj = SMT_Block(block_3, thresh, id=id)
values.extend(block_3_obj.block_values)
block_3_vars = [ele.var for ele in block_3_obj.block_z3_vars
] # for the conditional constraints
# all block objects
block_objs = [block_1_obj, block_2_obj, block_3_obj]
X = [c1]
X.extend([ele.var for ele in block_1_obj.block_z3_vars
]) # added the variables for block 1
X.extend([ele.var for ele in block_2_obj.block_z3_vars
]) # added the variables for block 2
X.extend([ele.var for ele in block_3_obj.block_z3_vars
]) # added the variables for block 3
constraints = block_1_obj.block_append_constraints + block_1_obj.flip_turns_constraints + block_1_obj.flip_marker_constraints+ \
block_1_obj.block_elimination_constraints + \
block_2_obj.block_append_constraints + block_2_obj.flip_turns_constraints + \
block_2_obj.flip_marker_constraints + block_2_obj.block_elimination_constraints +\
block_3_obj.block_append_constraints + block_3_obj.flip_turns_constraints + \
block_3_obj.flip_marker_constraints + block_3_obj.block_elimination_constraints
single_block_change_cons = single_block_change(block_objs)
constraints.extend(single_block_change_cons)
constraints.extend([
# conditional constraints: while(bool_path_ahead)---while block constraints
z3.Implies(
c1 == 7,
z3.Or(
block_2_vars[0] == 1,
block_2_vars[1] == 1,
block_2_vars[2] == 1,
block_2_vars[3] == 1,
block_2_vars[4] == 1,
block_2_vars[5] == 1,
block_2_vars[6] == 1,
block_2_vars[7] == 1,
block_2_vars[8] == 1,
block_2_vars[9] == 1,
block_2_vars[10] == 1,
block_2_vars[11] == 1,
block_2_vars[12] == 1,
)),
z3.Implies(z3.And(c1 == 7, block_2_vars[1] == 1, block_2_vars[0] != 1),
z3.And(block_2_vars[0] != 2, block_2_vars[0] != 3)),
z3.Implies(
z3.And(c1 == 7, block_2_vars[2] == 1, block_2_vars[0] != 1,
block_2_vars[1] != 1),
z3.And(block_2_vars[0] != 2, block_2_vars[0] != 3,
block_2_vars[1] != 2, block_2_vars[1] != 3)),
z3.Implies(
z3.And(c1 == 7, block_2_vars[3] == 1, block_2_vars[0] != 1,
block_2_vars[1] != 1, block_2_vars[2] != 1),
z3.And(block_2_vars[0] != 2, block_2_vars[0] != 3,
block_2_vars[1] != 2, block_2_vars[1] != 3,
block_2_vars[2] != 2, block_2_vars[2] != 3)),
z3.Implies(
z3.And(c1 == 7, block_2_vars[4] == 1, block_2_vars[0] != 1,
block_2_vars[1] != 1, block_2_vars[2] != 1,
block_2_vars[3] != 1),
z3.And(block_2_vars[0] != 2, block_2_vars[0] != 3,
block_2_vars[1] != 2, block_2_vars[1] != 3,
block_2_vars[2] != 2, block_2_vars[2] != 3,
block_2_vars[3] != 2, block_2_vars[3] != 3)),
z3.Implies(
z3.And(c1 == 7, block_2_vars[5] == 1, block_2_vars[0] != 1,
block_2_vars[1] != 1, block_2_vars[2] != 1,
block_2_vars[3] != 1, block_2_vars[4] != 1),
z3.And(block_2_vars[0] != 2, block_2_vars[0] != 3,
block_2_vars[1] != 2, block_2_vars[1] != 3,
block_2_vars[2] != 2, block_2_vars[2] != 3,
block_2_vars[3] != 2, block_2_vars[3] != 3,
block_2_vars[4] != 2, block_2_vars[4] != 3)),
z3.Implies(
z3.And(c1 == 7, block_2_vars[6] == 1, block_2_vars[0] != 1,
block_2_vars[1] != 1, block_2_vars[2] != 1,
block_2_vars[3] != 1, block_2_vars[4] != 1,
block_2_vars[5] != 1),
z3.And(block_2_vars[0] != 2, block_2_vars[0] != 3,
block_2_vars[1] != 2, block_2_vars[1] != 3,
block_2_vars[2] != 2, block_2_vars[2] != 3,
block_2_vars[3] != 2, block_2_vars[3] != 3,
block_2_vars[4] != 2, block_2_vars[4] != 3,
block_2_vars[5] != 2, block_2_vars[5] != 3)),
z3.Implies(
z3.And(c1 == 7, block_2_vars[7] == 1, block_2_vars[0] != 1,
block_2_vars[1] != 1, block_2_vars[2] != 1,
block_2_vars[3] != 1, block_2_vars[4] != 1,
block_2_vars[5] != 1, block_2_vars[6] != 1),
z3.And(block_2_vars[0] != 2, block_2_vars[0] != 3,
block_2_vars[1] != 2, block_2_vars[1] != 3,
block_2_vars[2] != 2, block_2_vars[2] != 3,
block_2_vars[3] != 2, block_2_vars[3] != 3,
block_2_vars[4] != 2, block_2_vars[4] != 3,
block_2_vars[5] != 2, block_2_vars[5] != 3,
block_2_vars[6] != 2, block_2_vars[6] != 3)),
z3.Implies(
z3.And(c1 == 7, block_2_vars[8] == 1, block_2_vars[0] != 1,
block_2_vars[1] != 1, block_2_vars[2] != 1,
block_2_vars[3] != 1, block_2_vars[4] != 1,
block_2_vars[5] != 1, block_2_vars[6] != 1,
block_2_vars[7] != 1),
z3.And(block_2_vars[0] != 2, block_2_vars[0] != 3,
block_2_vars[1] != 2, block_2_vars[1] != 3,
block_2_vars[2] != 2, block_2_vars[2] != 3,
block_2_vars[3] != 2, block_2_vars[3] != 3,
block_2_vars[4] != 2, block_2_vars[4] != 3,
block_2_vars[5] != 2, block_2_vars[5] != 3,
block_2_vars[6] != 2, block_2_vars[6] != 3,
block_2_vars[7] != 2, block_2_vars[7] != 3)),
z3.Implies(
z3.And(c1 == 7, block_2_vars[9] == 1, block_2_vars[0] != 1,
block_2_vars[1] != 1, block_2_vars[2] != 1,
block_2_vars[3] != 1, block_2_vars[4] != 1,
block_2_vars[5] != 1, block_2_vars[6] != 1,
block_2_vars[7] != 1, block_2_vars[8] != 1),
z3.And(block_2_vars[0] != 2, block_2_vars[0] != 3,
block_2_vars[1] != 2, block_2_vars[1] != 3,
block_2_vars[2] != 2, block_2_vars[2] != 3,
block_2_vars[3] != 2, block_2_vars[3] != 3,
block_2_vars[4] != 2, block_2_vars[4] != 3,
block_2_vars[5] != 2, block_2_vars[5] != 3,
block_2_vars[6] != 2, block_2_vars[6] != 3,
block_2_vars[7] != 2, block_2_vars[7] != 3,
block_2_vars[8] != 2, block_2_vars[8] != 3)),
z3.Implies(
z3.And(c1 == 7, block_2_vars[10] == 1, block_2_vars[0] != 1,
block_2_vars[1] != 1, block_2_vars[2] != 1,
block_2_vars[3] != 1, block_2_vars[4] != 1,
block_2_vars[5] != 1, block_2_vars[6] != 1,
block_2_vars[7] != 1, block_2_vars[8] != 1,
block_2_vars[9] != 1),
z3.And(block_2_vars[0] != 2, block_2_vars[0] != 3,
block_2_vars[1] != 2, block_2_vars[1] != 3,
block_2_vars[2] != 2, block_2_vars[2] != 3,
block_2_vars[3] != 2, block_2_vars[3] != 3,
block_2_vars[4] != 2, block_2_vars[4] != 3,
block_2_vars[5] != 2, block_2_vars[5] != 3,
block_2_vars[6] != 2, block_2_vars[6] != 3,
block_2_vars[7] != 2, block_2_vars[7] != 3,
block_2_vars[8] != 2, block_2_vars[8] != 3,
block_2_vars[9] != 2, block_2_vars[9] != 3)),
# # ################################################ THRESH = 2
z3.Implies(
z3.And(c1 == 7, block_2_vars[11] == 1, block_2_vars[0] != 1,
block_2_vars[1] != 1, block_2_vars[2] != 1,
block_2_vars[3] != 1, block_2_vars[4] != 1,
block_2_vars[5] != 1, block_2_vars[6] != 1,
block_2_vars[7] != 1, block_2_vars[8] != 1,
block_2_vars[9] != 1, block_2_vars[10] != 1),
z3.And(block_2_vars[0] != 2, block_2_vars[0] != 3,
block_2_vars[1] != 2, block_2_vars[1] != 3,
block_2_vars[2] != 2, block_2_vars[2] != 3,
block_2_vars[3] != 2, block_2_vars[3] != 3,
block_2_vars[4] != 2, block_2_vars[4] != 3,
block_2_vars[5] != 2, block_2_vars[5] != 3,
block_2_vars[6] != 2, block_2_vars[6] != 3,
block_2_vars[7] != 2, block_2_vars[7] != 3,
block_2_vars[8] != 2, block_2_vars[8] != 3,
block_2_vars[9] != 2, block_2_vars[9] != 3,
block_2_vars[10] != 2, block_2_vars[10] != 3)),
z3.Implies(
z3.And(c1 == 7, block_2_vars[12] == 1, block_2_vars[0] != 1,
block_2_vars[1] != 1, block_2_vars[2] != 1,
block_2_vars[3] != 1, block_2_vars[4] != 1,
block_2_vars[5] != 1, block_2_vars[6] != 1,
block_2_vars[7] != 1, block_2_vars[8] != 1,
block_2_vars[9] != 1, block_2_vars[10] != 1,
block_2_vars[11] != 1),
z3.And(block_2_vars[0] != 2, block_2_vars[0] != 3,
block_2_vars[1] != 2, block_2_vars[1] != 3,
block_2_vars[2] != 2, block_2_vars[2] != 3,
block_2_vars[3] != 2, block_2_vars[3] != 3,
block_2_vars[4] != 2, block_2_vars[4] != 3,
block_2_vars[5] != 2, block_2_vars[5] != 3,
block_2_vars[6] != 2, block_2_vars[6] != 3,
block_2_vars[7] != 2, block_2_vars[7] != 3,
block_2_vars[8] != 2, block_2_vars[8] != 3,
block_2_vars[9] != 2, block_2_vars[9] != 3,
block_2_vars[10] != 2, block_2_vars[10] != 3,
block_2_vars[11] != 2, block_2_vars[11] != 3)),
# # conditional constraints: while(bool_no_path_ahead)---while block constraints
z3.Implies(c1 == 12, block_2_vars[0] != 1),
z3.Implies(
z3.And(c1 == 12, block_2_vars[1] == 1, block_2_vars[0] != 1),
z3.Or(block_2_vars[0] == 2, block_2_vars[0] == 3)),
z3.Implies(
z3.And(c1 == 12, block_2_vars[2] == 1, block_2_vars[0] != 1,
block_2_vars[1] != 1),
z3.Or(block_2_vars[0] == 2, block_2_vars[0] == 3,
block_2_vars[1] == 2, block_2_vars[1] == 3)),
z3.Implies(
z3.And(c1 == 12, block_2_vars[3] == 1, block_2_vars[0] != 1,
block_2_vars[1] != 1, block_2_vars[2] != 1),
z3.Or(block_2_vars[0] == 2, block_2_vars[0] == 3,
block_2_vars[1] == 2, block_2_vars[1] == 3,
block_2_vars[2] == 2, block_2_vars[2] == 3)),
z3.Implies(
z3.And(c1 == 12, block_2_vars[4] == 1, block_2_vars[0] != 1,
block_2_vars[1] != 1, block_2_vars[2] != 1,
block_2_vars[3] != 1),
z3.Or(block_2_vars[0] == 2, block_2_vars[0] == 3,
block_2_vars[1] == 2, block_2_vars[1] == 3,
block_2_vars[2] == 2, block_2_vars[2] == 3,
block_2_vars[3] == 2, block_2_vars[3] == 3)),
z3.Implies(
z3.And(c1 == 12, block_2_vars[5] == 1, block_2_vars[0] != 1,
block_2_vars[1] != 1, block_2_vars[2] != 1,
block_2_vars[3] != 1, block_2_vars[4] != 1),
z3.Or(block_2_vars[0] == 2, block_2_vars[0] == 3,
block_2_vars[1] == 2, block_2_vars[1] == 3,
block_2_vars[2] == 2, block_2_vars[2] == 3,
block_2_vars[3] == 2, block_2_vars[3] == 3,
block_2_vars[4] == 2, block_2_vars[4] == 3)),
z3.Implies(
z3.And(c1 == 12, block_2_vars[6] == 1, block_2_vars[0] != 1,
block_2_vars[1] != 1, block_2_vars[2] != 1,
block_2_vars[3] != 1, block_2_vars[4] != 1,
block_2_vars[5] != 1),
z3.Or(block_2_vars[0] == 2, block_2_vars[0] == 3,
block_2_vars[1] == 2, block_2_vars[1] == 3,
block_2_vars[2] == 2, block_2_vars[2] == 3,
block_2_vars[3] == 2, block_2_vars[3] == 3,
block_2_vars[4] == 2, block_2_vars[4] == 3,
block_2_vars[5] == 2, block_2_vars[5] == 3)),
z3.Implies(
z3.And(c1 == 12, block_2_vars[7] == 1, block_2_vars[0] != 1,
block_2_vars[1] != 1, block_2_vars[2] != 1,
block_2_vars[3] != 1, block_2_vars[4] != 1,
block_2_vars[5] != 1, block_2_vars[6] != 1),
z3.Or(block_2_vars[0] == 2, block_2_vars[0] == 3,
block_2_vars[1] == 2, block_2_vars[1] == 3,
block_2_vars[2] == 2, block_2_vars[2] == 3,
block_2_vars[3] == 2, block_2_vars[3] == 3,
block_2_vars[4] == 2, block_2_vars[4] == 3,
block_2_vars[5] == 2, block_2_vars[5] == 3,
block_2_vars[6] == 2, block_2_vars[6] == 3)),
z3.Implies(
z3.And(c1 == 12, block_2_vars[8] == 1, block_2_vars[0] != 1,
block_2_vars[1] != 1, block_2_vars[2] != 1,
block_2_vars[3] != 1, block_2_vars[4] != 1,
block_2_vars[5] != 1, block_2_vars[6] != 1,
block_2_vars[7] != 1),
z3.Or(block_2_vars[0] == 2, block_2_vars[0] == 3,
block_2_vars[1] == 2, block_2_vars[1] == 3,
block_2_vars[2] == 2, block_2_vars[2] == 3,
block_2_vars[3] == 2, block_2_vars[3] == 3,
block_2_vars[4] == 2, block_2_vars[4] == 3,
block_2_vars[5] == 2, block_2_vars[5] == 3,
block_2_vars[6] == 2, block_2_vars[6] == 3,
block_2_vars[7] == 2, block_2_vars[7] == 3)),
z3.Implies(
z3.And(c1 == 12, block_2_vars[9] == 1, block_2_vars[0] != 1,
block_2_vars[1] != 1, block_2_vars[2] != 1,
block_2_vars[3] != 1, block_2_vars[4] != 1,
block_2_vars[5] != 1, block_2_vars[6] != 1,
block_2_vars[7] != 1, block_2_vars[8] != 1),
z3.Or(block_2_vars[0] == 2, block_2_vars[0] == 3,
block_2_vars[1] == 2, block_2_vars[1] == 3,
block_2_vars[2] == 2, block_2_vars[2] == 3,
block_2_vars[3] == 2, block_2_vars[3] == 3,
block_2_vars[4] == 2, block_2_vars[4] == 3,
block_2_vars[5] == 2, block_2_vars[5] == 3,
block_2_vars[6] == 2, block_2_vars[6] == 3,
block_2_vars[7] == 2, block_2_vars[7] == 3,
block_2_vars[8] == 2, block_2_vars[8] == 3)),
z3.Implies(
z3.And(
c1 == 12,
block_2_vars[10] == 1,
block_2_vars[0] != 1,
block_2_vars[1] != 1,
block_2_vars[2] != 1,
block_2_vars[3] != 1,
block_2_vars[4] != 1,
block_2_vars[5] != 1,
block_2_vars[6] != 1,
block_2_vars[7] != 1,
block_2_vars[8] != 1,
block_2_vars[9] != 1,
),
z3.Or(
block_2_vars[0] == 2,
block_2_vars[0] == 3,
block_2_vars[1] == 2,
block_2_vars[1] == 3,
block_2_vars[2] == 2,
block_2_vars[2] == 3,
block_2_vars[3] == 2,
block_2_vars[3] == 3,
block_2_vars[4] == 2,
block_2_vars[4] == 3,
block_2_vars[5] == 2,
block_2_vars[5] == 3,
block_2_vars[6] == 2,
block_2_vars[6] == 3,
block_2_vars[7] == 2,
block_2_vars[7] == 3,
block_2_vars[8] == 2,
block_2_vars[8] == 3,
block_2_vars[9] == 2,
block_2_vars[9] == 3,
)),
z3.Implies(
z3.And(c1 == 12, block_2_vars[11] == 1, block_2_vars[0] != 1,
block_2_vars[1] != 1, block_2_vars[2] != 1,
block_2_vars[3] != 1, block_2_vars[4] != 1,
block_2_vars[5] != 1, block_2_vars[6] != 1,
block_2_vars[7] != 1, block_2_vars[8] != 1,
block_2_vars[9] != 1, block_2_vars[10] != 1),
z3.Or(
block_2_vars[0] == 2,
block_2_vars[0] == 3,
block_2_vars[1] == 2,
block_2_vars[1] == 3,
block_2_vars[2] == 2,
block_2_vars[2] == 3,
block_2_vars[3] == 2,
block_2_vars[3] == 3,
block_2_vars[4] == 2,
block_2_vars[4] == 3,
block_2_vars[5] == 2,
block_2_vars[5] == 3,
block_2_vars[6] == 2,
block_2_vars[6] == 3,
block_2_vars[7] == 2,
block_2_vars[7] == 3,
block_2_vars[8] == 2,
block_2_vars[8] == 3,
block_2_vars[9] == 2,
block_2_vars[9] == 3,
block_2_vars[10] == 2,
block_2_vars[10] == 3,
)),
z3.Implies(
z3.And(c1 == 12, block_2_vars[12] == 1, block_2_vars[0] != 1,
block_2_vars[1] != 1, block_2_vars[2] != 1,
block_2_vars[3] != 1, block_2_vars[4] != 1,
block_2_vars[5] != 1, block_2_vars[6] != 1,
block_2_vars[7] != 1, block_2_vars[8] != 1,
block_2_vars[9] != 1, block_2_vars[10] != 1,
block_2_vars[11] != 1),
z3.Or(
block_2_vars[0] == 2,
block_2_vars[0] == 3,
block_2_vars[1] == 2,
block_2_vars[1] == 3,
block_2_vars[2] == 2,
block_2_vars[2] == 3,
block_2_vars[3] == 2,
block_2_vars[3] == 3,
block_2_vars[4] == 2,
block_2_vars[4] == 3,
block_2_vars[5] == 2,
block_2_vars[5] == 3,
block_2_vars[6] == 2,
block_2_vars[6] == 3,
block_2_vars[7] == 2,
block_2_vars[7] == 3,
block_2_vars[8] == 2,
block_2_vars[8] == 3,
block_2_vars[9] == 2,
block_2_vars[9] == 3,
block_2_vars[10] == 2,
block_2_vars[10] == 3,
block_2_vars[11] == 2,
block_2_vars[11] == 3,
)),
])
# add the values and the constraints
solver.add(values + constraints)
# generate all the assignments
models = gen_all(solver, X)
assignments = []
for model in models:
a = [
type_to_str[VariableType(model[ele].as_long())]
for ele in block_1_vars
]
a.append(type_to_str[ConditionalType(model[c1].as_long())])
a.extend([
type_to_str[VariableType(model[ele].as_long())]
for ele in block_2_vars
])
a.extend([
type_to_str[VariableType(model[ele].as_long())]
for ele in block_3_vars
])
assignments.append(a)
#print(a)
#print('Found #{} SAT values'.format(len(models)))
return assignments
def addOriginSMTConstraints(self):
"""
Realize to transfer the CCSL constraints into SMT formula.
:return:
"""
cnt = 0
for each in self.newCCSLConstraintList:
if each[0] == "<" and len(each) == 3:
tick1 = self.tickDict["t_%s" % (each[1])]
tick2 = self.tickDict["t_%s" % (each[2])]
history1 = self.historyDict["h_%s" % (each[1])]
history2 = self.historyDict["h_%s" % (each[2])]
x = z3.Int("x")
if self.bound > 0:
for i in range(1, self.bound + 2):
self.solver.add(
z3.Implies(
history1(i) == history2(i), z3.Not(tick2(i))))
# self.solver.add(z3.ForAll(x, z3.Implies(
# z3.And(x >= 1, x <= self.n, history1(x) == history2(x)),
# z3.Not(tick2(x)))))
else:
self.solver.add(
z3.ForAll(
x,
z3.Implies(
z3.And(x >= 1,
history1(x) == history2(x)),
z3.Not(tick2(x)))))
elif each[0] == "<" and len(each) == 4:
tick1 = self.tickDict["t_%s" % (each[1])]
delay = each[2]
tick2 = self.tickDict["t_%s" % (each[3])]
history1 = self.historyDict["h_%s" % (each[1])]
history2 = self.historyDict["h_%s" % (each[3])]
x = z3.Int("x")
if self.bound > 0:
for i in range(1, self.bound + 2):
self.solver.add(
z3.Implies(
history2(i) - history1(i) == delay,
z3.Not(tick2(i))))
# self.solver.add(z3.ForAll(x, z3.Implies(
# z3.And(x >= 1, x <= self.n, history2(x) - history1(x) == delay),
# z3.Not(tick2(x)))))
else:
self.solver.add(
z3.ForAll(
x,
z3.Implies(
z3.And(x >= 1,
history2(x) - history1(x) == delay),
z3.Not(tick2(x)))))
elif each[0] == "≤":
history1 = self.historyDict["h_%s" % (each[1])]
history2 = self.historyDict["h_%s" % (each[2])]
x = z3.Int("x")
if self.bound > 0:
for i in range(1, self.bound + 2):
self.solver.add(history1(i) >= history2(i))
# self.solver.add(z3.ForAll(x, z3.Implies(
# z3.And(x >= 1, x <= self.n + 1),
# history1(x) >= history2(x))))
else:
self.solver.add(
z3.ForAll(
x, z3.Implies(x >= 1,
history1(x) >= history2(x))))
elif each[0] == "⊆":
tick1 = self.tickDict["t_%s" % (each[1])]
tick2 = self.tickDict["t_%s" % (each[2])]
x = z3.Int("x")
if self.bound > 0:
for i in range(1, self.bound + 1):
self.solver.add(z3.Implies(tick1(i), tick2(i)))
# self.solver.add(z3.ForAll(x, z3.Implies(
# z3.And(x >= 1, x <= self.n, tick1(x)),
# tick2(x))))
else:
self.solver.add(
z3.ForAll(
x, z3.Implies(z3.And(x >= 1, tick1(x)), tick2(x))))
elif each[0] == "#":
tick1 = self.tickDict["t_%s" % (each[1])]
tick2 = self.tickDict["t_%s" % (each[2])]
x = z3.Int("x")
if self.bound > 0:
for i in range(1, self.bound + 1):
self.solver.add(
z3.Or(z3.Not(tick1(i)), z3.Not(tick2(i))))
# self.solver.add(z3.ForAll(x, z3.Implies(
# z3.And(x >= 1, x <= self.n),
# z3.Or(z3.Not(tick1(x)), z3.Not(tick2(x))))))
else:
self.solver.add(
z3.ForAll(
x,
z3.Implies(
x >= 1,
z3.Or(z3.Not(tick1(x)), z3.Not(tick2(x))))))
elif each[0] == "+":
tick1 = self.tickDict["t_%s" % (each[1])]
tick2 = self.tickDict["t_%s" % (each[2])]
tick3 = self.tickDict["t_%s" % (each[3])]
x = z3.Int("x")
if self.bound > 0:
for i in range(1, self.bound + 1):
self.solver.add(tick1(i) == z3.Or(tick2(i), tick3(i)))
# self.solver.add(z3.ForAll(x, z3.Implies(
# z3.And(x >= 1, x <= self.n),
# tick1(x) == z3.Or(tick2(x), tick3(x)))))
else:
self.solver.add(
z3.ForAll(
x,
z3.Implies(x >= 1,
tick1(x) == z3.Or(tick2(x), tick3(x)))))
elif each[0] == "*":
tick1 = self.tickDict["t_%s" % (each[1])]
tick2 = self.tickDict["t_%s" % (each[2])]
tick3 = self.tickDict["t_%s" % (each[3])]
x = z3.Int("x")
if self.bound > 0:
for i in range(1, self.bound + 1):
self.solver.add(
z3.Implies(tick1(i), z3.And(tick2(i), tick3(i))))
# self.solver.add(z3.ForAll(x, z3.Implies(
# z3.And(x >= 1, x <= self.n),
# tick1(x) == z3.And(tick2(x), tick3(x)))))
else:
self.solver.add(
z3.ForAll(
x,
z3.Implies(x >= 1,
tick1(x) == z3.And(tick2(x),
tick3(x)))))
elif each[0] == "∧":
history1 = self.historyDict["h_%s" % (each[1])]
history2 = self.historyDict["h_%s" % (each[2])]
history3 = self.historyDict["h_%s" % (each[3])]
x = z3.Int("x")
if self.bound > 0:
for i in range(1, self.bound + 2):
self.solver.add(
history1(i) == z3.If(
history2(i) >= history3(i), history2(i),
history3(i)))
# self.solver.add(z3.ForAll(x, z3.Implies(
# z3.And(x >= 1, x <= self.n + 1),
# history1(x) == z3.If(history2(x) >= history3(x),history2(x),history3(x)))))
else:
self.solver.add(
z3.ForAll(
x,
z3.Implies(
x >= 1,
history1(x) == z3.If(
history2(x) >= history3(x), history2(x),
history3(x)))))
elif each[0] == "∨":
history1 = self.historyDict["h_%s" % (each[1])]
history2 = self.historyDict["h_%s" % (each[2])]
history3 = self.historyDict["h_%s" % (each[3])]
x = z3.Int("x")
if self.bound > 0:
for i in range(1, self.bound + 2):
self.solver.add(
history1(i) == z3.If(
history2(i) <= history3(i), history2(i),
history3(i)))
# self.solver.add(z3.ForAll(x, z3.Implies(
# z3.And(x >= 1, x <= self.n + 1),
# history1(x) == z3.If(history2(x) <= history3(x), history2(x), history3(x)))))
else:
self.solver.add(
z3.ForAll(
x,
z3.Implies(
x >= 1,
history1(x) == z3.If(
history2(x) <= history3(x), history2(x),
history3(x)))))
elif each[0] == "$":
history1 = self.historyDict["h_%s" % (each[1])]
history2 = self.historyDict["h_%s" % (each[2])]
delay = z3.IntVal(int(each[3]))
x = z3.Int("x")
if self.bound > 0:
for i in range(1, self.bound + 2):
self.solver.add(
history1(i) == z3.If(
history2(i) >= delay,
history2(i) - delay, 0))
# self.solver.add(z3.ForAll(x, z3.Implies(
# z3.And(x >= 1, x <= self.n + 1),
# history1(x) == z3.If(history2(x) >= delay,history2(x) - delay,0))))
else:
self.solver.add(
z3.ForAll(
x,
z3.Implies(
x >= 1,
history1(x) == z3.If(
history2(x) >= delay,
history2(x) - delay, 0))))
elif each[0] == "on":
tick1 = self.tickDict["t_%s" % (each[1])]
tick2 = self.tickDict["t_%s" % (each[2])]
tick3 = self.tickDict["t_%s" % (each[4])]
history1 = self.historyDict["h_%s" % (each[1])]
history2 = self.historyDict["h_%s" % (each[2])]
history3 = self.historyDict["h_%s" % (each[4])]
self.addTickStep(each[1])
self.addTickStep(each[2])
self.addTickStep(each[4])
tickStep1 = self.tickStep["s_%s" % (each[1])]
tickStep2 = self.tickStep["s_%s" % (each[2])]
tickStep3 = self.tickStep["s_%s" % (each[4])]
x = z3.Int("x")
if self.bound > 0:
for i in range(1, int(each[3]) + 1):
self.solver.add(z3.Not(tick1(i)))
for i in range(int(each[3]) + 1, self.bound + 1):
t = []
for j in range(1, i - int(each[3]) + 1):
t.append(
z3.And(
tick2(j),
history3(i) - history3(j) == int(each[3])))
self.solver.add(z3.And(tick3(i), z3.Or(t)) == tick1(i))
self.solver.add(
z3.ForAll(
x,
z3.Implies(z3.And(x > 0, x <= self.n + 1),
history2(x) >= history1(x))))
self.solver.add(
z3.ForAll(
x,
z3.Implies(z3.And(x > 0, x <= self.n, tick1(x)),
tick3(x))))
# self.solver.add(
# z3.ForAll(x, z3.Implies(
# z3.And(x > 0, x <= history1(self.bound + 1)),
# history3(tickStep2(x)) - history3(tickStep1(x)) == int(each[3])
# )))
# for i in range(self.bound + 1):
# self.solver.add(history2(i) >= history1(i))
# for i in range(self.bound):
# self.solver.add(
# z3.Implies(
# tick1(i), tick3(i)
# )
# )
# for i in range(self.bound + 1):
# self.solver.add(
# history3(tickStep1(i)) - history3(tickStep2(i)) == int(each[3])
# )
# self.solver.add(z3.ForAll(x, z3.And(
# z3.Implies(z3.And(x >= 1, x <= history1(self.bound + 1),tick2(x)),
# tick1(tickStep3(history3(x) + int(each[3])))
# ))))
else:
self.solver.add(
z3.ForAll(
x,
z3.And(
z3.Implies(x >= 1,
history2(x) >= history1(x)))))
self.solver.add(
z3.ForAll(
x,
z3.And(
z3.Implies(z3.And(x >= 1, tick1(x)),
tick3(x)))))
self.solver.add(
z3.ForAll(
x,
z3.And(
z3.Implies(x >= 1, (history3(tickStep1(x)) -
history3(tickStep2(x))
== int(each[3]))))))
elif each[0] == "∝":
tick1 = self.tickDict["t_%s" % (each[1])]
tick2 = self.tickDict["t_%s" % (each[2])]
history1 = self.historyDict["h_%s" % (each[1])]
history2 = self.historyDict["h_%s" % (each[2])]
x = z3.Int("x")
left = tick1(x)
if is_number(each[3]):
k = z3.Int("k_%s" % (cnt))
self.solver.add(k >= 0, k < int(each[3]))
right = z3.And(tick2(x),
history2(x) >= 0,
(history2(x) + k) % z3.IntVal(each[3]) == 0)
cnt += 1
# right = z3.And(tick2(x), history2(x) > 0, (history2(x)) % z3.IntVal(each[3]) == 0)
else:
period = z3.Int("%s" % each[3])
tmp = self.parameter[each[3]]
self.printParameter[each[3]] = period
k = z3.Int("k_%s" % (cnt))
self.solver.add(k >= 0, k < period)
right = z3.And(tick2(x),
history2(x) >= 0,
(history2(x) + k) % period == 0)
self.solver.add(period >= int(tmp[2]))
self.solver.add(period <= int(tmp[3]))
cnt += 1
if self.bound > 0:
self.solver.add(
z3.ForAll(
x,
z3.And(
z3.Implies(z3.And(x >= 1, x <= self.n),
left == right))))
else:
self.solver.add(
z3.ForAll(x, z3.And(z3.Implies(x >= 1,
left == right))))
elif each[0] == "☇":
tick1 = self.tickDict["t_%s" % (each[1])]
tick2 = self.tickDict["t_%s" % (each[2])]
tick3 = self.tickDict["t_%s" % (each[3])]
history1 = self.historyDict["h_%s" % (each[1])]
history2 = self.historyDict["h_%s" % (each[2])]
history3 = self.historyDict["h_%s" % (each[3])]
self.addTickStep(each[1])
self.addTickStep(each[3])
tickStep1 = self.tickStep["s_%s" % (each[1])]
tickStep3 = self.tickStep["s_%s" % (each[3])]
x = z3.Int("x")
if self.bound > 0:
self.solver.add(
z3.ForAll(
x,
z3.Implies(
z3.And(x >= 2, x <= history3(self.bound + 1)),
tick1(tickStep1(x)) == (
history2(tickStep3(x)) -
history2(tickStep3(x - 1)) >= 1))))
else:
self.solver.add(
z3.ForAll(
x,
z3.Implies(
x >= 2,
z3.And(
tick1(tickStep1(x)),
history2(tickStep3(x)) -
history2(tickStep3(x - 1)) >= 1))))
elif each[0] == "==":
tick1 = self.tickDict["t_%s" % (each[1])]
tick2 = self.tickDict["t_%s" % (each[2])]
x = z3.Int("x")
if self.bound > 0:
self.solver.add(
z3.ForAll(
x,
z3.Implies(z3.And(x >= 1, x <= self.n),
tick1(x) == tick2(x))))
else:
self.solver.add(
z3.ForAll(x, z3.Implies(x >= 1,
tick1(x) == tick2(x))))
elif each[0] == "⋈±":
tick1 = self.tickDict["t_%s" % (each[1])]
tick2 = self.tickDict["t_%s" % (each[2])]
history1 = self.historyDict["h_%s" % (each[1])]
history2 = self.historyDict["h_%s" % (each[2])]
self.addTickStep(each[1])
self.addTickStep(each[2])
tickStep1 = self.tickStep["s_%s" % (each[1])]
tickStep2 = self.tickStep["s_%s" % (each[2])]
lower = int(each[3]) - int(each[4])
upper = int(each[3]) + int(each[4])
x = z3.Int("x")
if self.bound > 0:
self.solver.add(
z3.ForAll(
x,
z3.Implies(
z3.And(x >= 1, x <= self.bound + 1, tick1(x)),
history1(tickStep2(history2(x) + upper)) -
history1(
tickStep2(history2(x) + lower)) == 1)))
self.solver.add(
z3.ForAll(
x,
z3.Implies(
z3.And(x >= 2, x <= history1(self.bound + 1)),
z3.And(
(history2(tickStep1(x)) -
history2(tickStep1(x - 1)) >= lower),
(history2(tickStep1(x)) -
history2(tickStep1(x - 1)) <= upper)))))
else:
self.solver.add(
z3.ForAll(
x,
z3.Implies(
x >= 2,
z3.And(
(history2(tickStep1(x)) -
history2(tickStep1(x - 1)) >= lower),
(history2(tickStep1(x)) -
history2(tickStep1(x - 1)) <= upper)))))
def generate_assignments(thresh=2, id='karel'):
solver = z3.Solver()
# declare the SMT variables for the specific code
# Block 1
c0 = z3.Int('c0') # repeat (8)
c1 = z3.Int('c1') # bool_no_marker (if_else)
block_1 = {'b1_1': 'put_marker'}
block_1_obj = SMT_Block(block_1, thresh, id=id)
values = block_1_obj.block_values
block_1_vars = [ele.var for ele in block_1_obj.block_z3_vars
] # for the conditional constraints
block_2 = {'b2_1': 'pick_marker'}
block_2_obj = SMT_Block(block_2, thresh, id=id)
values.extend(block_2_obj.block_values)
block_2_vars = [ele.var for ele in block_2_obj.block_z3_vars
] # for the conditional constraints
values.append(z3.Or(c0 == 7, c0 == 8, c0 == 9))
values.append(z3.Or(c1 == 10, c1 == 11)) # bool_no_marker, bool_marker
block_3 = {'b3_1': 'move'}
block_3_obj = SMT_Block(block_3, thresh, id=id)
values.extend(block_3_obj.block_values)
block_3_vars = [ele.var for ele in block_3_obj.block_z3_vars
] # for the conditional constraints
block_4 = {'b4_1': 'phi'}
block_4_obj = SMT_Block(block_4, thresh, id=id)
values.extend(block_4_obj.block_values)
block_4_vars = [ele.var for ele in block_4_obj.block_z3_vars
] # for the conditional constraints
block_5 = {'b5_1': 'phi'}
block_5_obj = SMT_Block(block_5, thresh, id=id)
values.extend(block_5_obj.block_values)
block_5_vars = [ele.var for ele in block_5_obj.block_z3_vars
] # for the conditional constraints
# all block objects
block_objs = [
block_1_obj, block_2_obj, block_3_obj, block_4_obj, block_5_obj
]
X = [c0, c1]
X.extend([ele.var for ele in block_1_obj.block_z3_vars
]) # added the variables for block 1
X.extend([ele.var for ele in block_2_obj.block_z3_vars
]) # added the variables for block 2
X.extend([ele.var for ele in block_3_obj.block_z3_vars
]) # added the variables for block 3
X.extend([ele.var for ele in block_4_obj.block_z3_vars
]) # added the variables for block 4
X.extend([ele.var for ele in block_5_obj.block_z3_vars
]) # added the variables for block 5
constraints = block_1_obj.block_append_constraints + block_1_obj.flip_turns_constraints + block_1_obj.flip_marker_constraints+ \
block_1_obj.block_elimination_constraints + \
block_2_obj.block_append_constraints + block_2_obj.flip_turns_constraints + \
block_2_obj.flip_marker_constraints+block_2_obj.block_elimination_constraints + \
block_3_obj.block_append_constraints + block_3_obj.flip_turns_constraints + \
block_3_obj.flip_marker_constraints+block_3_obj.block_elimination_constraints + \
block_4_obj.block_append_constraints + block_4_obj.flip_turns_constraints + \
block_4_obj.flip_marker_constraints + block_4_obj.block_elimination_constraints + \
block_5_obj.block_append_constraints + block_5_obj.flip_turns_constraints + \
block_5_obj.flip_marker_constraints + block_5_obj.block_elimination_constraints
single_block_change_cons = single_block_change(block_objs)
constraints.extend(single_block_change_cons)
constraints.extend([
# conditional constraints: if_else(bool_no_marker)---if block constraints
z3.Implies(c1 == 11, block_1_vars[0] != 4),
z3.Implies(
z3.And(c1 == 11, block_1_vars[1] == 4, block_1_vars[0] != 4),
z3.Or(block_1_vars[0] == 1, block_1_vars[0] == 5)),
z3.Implies(
z3.And(c1 == 11, block_1_vars[2] == 4, block_1_vars[0] != 4,
block_1_vars[1] != 4),
z3.Or(block_1_vars[0] == 1, block_1_vars[0] == 5,
block_1_vars[1] == 1, block_1_vars[1] == 5)),
z3.Implies(
z3.And(c1 == 11, block_1_vars[3] == 4, block_1_vars[0] != 4,
block_1_vars[1] != 4, block_1_vars[2] != 4),
z3.Or(block_1_vars[0] == 1, block_1_vars[0] == 5,
block_1_vars[1] == 1, block_1_vars[1] == 5,
block_1_vars[2] == 1, block_1_vars[2] == 5)),
z3.Implies(
z3.And(c1 == 11, block_1_vars[4] == 4, block_1_vars[0] != 4,
block_1_vars[1] != 4, block_1_vars[2] != 4,
block_1_vars[3] != 4),
z3.And(block_1_vars[0] == 1, block_1_vars[0] == 5,
block_1_vars[1] == 1, block_1_vars[1] == 5,
block_1_vars[2] == 1, block_1_vars[2] == 5,
block_1_vars[3] == 1, block_1_vars[3] == 5)),
# else block constraints
z3.Implies(c1 == 11, block_2_vars[0] != 5),
z3.Implies(
z3.And(c1 == 11, block_2_vars[1] == 5, block_2_vars[0] != 5),
z3.Or(block_2_vars[0] == 1, block_2_vars[0] == 4)),
z3.Implies(
z3.And(c1 == 11, block_2_vars[2] == 5, block_2_vars[0] != 5,
block_2_vars[1] != 5),
z3.Or(block_2_vars[0] == 1, block_2_vars[0] == 4,
block_2_vars[1] == 1, block_2_vars[1] == 4)),
z3.Implies(
z3.And(c1 == 11, block_2_vars[3] == 5, block_2_vars[0] != 5,
block_2_vars[1] != 5, block_2_vars[2] != 5),
z3.Or(block_2_vars[0] == 1, block_2_vars[0] == 4,
block_2_vars[1] == 1, block_2_vars[1] == 4,
block_2_vars[2] == 1, block_2_vars[2] == 4)),
z3.Implies(
z3.And(c1 == 11, block_2_vars[4] == 5, block_2_vars[0] != 5,
block_2_vars[1] != 5, block_2_vars[2] != 5,
block_2_vars[3] != 5),
z3.And(block_2_vars[0] == 1, block_2_vars[0] == 4,
block_2_vars[1] == 1, block_2_vars[1] == 4,
block_2_vars[2] == 1, block_2_vars[2] == 4,
block_2_vars[3] == 1, block_2_vars[3] == 4)),
# conditional constraints: if_else(bool_marker)---if block constraints
z3.Implies(c1 == 10, block_1_vars[0] != 5),
z3.Implies(
z3.And(c1 == 10, block_1_vars[1] == 5, block_1_vars[0] != 5),
z3.Or(block_1_vars[0] == 1, block_1_vars[0] == 4)),
z3.Implies(
z3.And(c1 == 10, block_1_vars[2] == 5, block_1_vars[0] != 5,
block_1_vars[1] != 5),
z3.Or(block_1_vars[0] == 1, block_1_vars[0] == 4,
block_1_vars[1] == 1, block_1_vars[1] == 4)),
z3.Implies(
z3.And(c1 == 10, block_1_vars[3] == 5, block_1_vars[0] != 5,
block_1_vars[1] != 5, block_1_vars[2] != 5),
z3.Or(block_1_vars[0] == 1, block_1_vars[0] == 4,
block_1_vars[1] == 1, block_1_vars[1] == 4,
block_1_vars[2] == 1, block_1_vars[2] == 4)),
z3.Implies(
z3.And(c1 == 10, block_1_vars[4] == 5, block_1_vars[0] != 5,
block_1_vars[1] != 5, block_1_vars[2] != 5,
block_1_vars[3] != 5),
z3.And(block_1_vars[0] == 1, block_1_vars[0] == 4,
block_1_vars[1] == 1, block_1_vars[1] == 4,
block_1_vars[2] == 1, block_1_vars[2] == 4,
block_1_vars[3] == 1, block_1_vars[3] == 4)),
# else block constraints
z3.Implies(c1 == 10, block_2_vars[0] != 4),
z3.Implies(
z3.And(c1 == 10, block_2_vars[1] == 4, block_2_vars[0] != 4),
z3.Or(block_2_vars[0] == 1, block_2_vars[0] == 5)),
z3.Implies(
z3.And(c1 == 10, block_2_vars[2] == 4, block_2_vars[0] != 4,
block_2_vars[1] != 4),
z3.Or(block_2_vars[0] == 1, block_2_vars[0] == 5,
block_2_vars[1] == 1, block_2_vars[1] == 5)),
z3.Implies(
z3.And(c1 == 10, block_2_vars[3] == 4, block_2_vars[0] != 4,
block_2_vars[1] != 4, block_2_vars[2] != 4),
z3.Or(block_2_vars[0] == 1, block_2_vars[0] == 5,
block_2_vars[1] == 1, block_2_vars[1] == 5,
block_2_vars[2] == 1, block_2_vars[2] == 5)),
z3.Implies(
z3.And(c1 == 10, block_2_vars[4] == 4, block_2_vars[0] != 4,
block_2_vars[1] != 4, block_2_vars[2] != 4,
block_2_vars[3] != 4),
z3.And(block_2_vars[0] == 1, block_2_vars[0] == 5,
block_2_vars[1] == 1, block_2_vars[1] == 5,
block_2_vars[2] == 1, block_2_vars[2] == 5,
block_2_vars[3] == 1, block_2_vars[3] == 5)),
])
unequal_blocks_con = block_unequal_constraint(block_1_obj, block_2_obj)
constraints.extend(unequal_blocks_con)
# add the values and the constraints
solver.add(values + constraints)
# generate all the assignments
models = gen_all(solver, X)
assignments = []
for model in models:
a = [
str(model[c0].as_long()),
type_to_str[ConditionalType(model[c1].as_long())]
]
a.extend([
type_to_str[VariableType(model[ele].as_long())]
for ele in block_1_vars
])
a.extend([
type_to_str[VariableType(model[ele].as_long())]
for ele in block_2_vars
])
a.extend([
type_to_str[VariableType(model[ele].as_long())]
for ele in block_3_vars
])
a.extend([
type_to_str[VariableType(model[ele].as_long())]
for ele in block_4_vars
])
a.extend([
type_to_str[VariableType(model[ele].as_long())]
for ele in block_5_vars
])
assignments.append(a)
#print(a)
#print('Found #{} SAT values'.format(len(models)))
return assignments
def generate_assignments(thresh=2):
solver = z3.Solver()
# declare the SMT variables for the specific code
# Block 1
block_1 = {'b1_1': 'move'}
block_1_obj = SMT_Block(block_1, thresh)
values = block_1_obj.block_values
block_1_vars = [ele.var for ele in block_1_obj.block_z3_vars
] # for the conditional constraints
c1 = z3.Int('c1') # bool_path_ahead (if_else)
block_2 = {'b2_1': 'turn_left'}
block_2_obj = SMT_Block(block_2, thresh)
values.extend(block_2_obj.block_values)
block_2_vars = [ele.var for ele in block_2_obj.block_z3_vars
] # for the conditional constraints
values.append(c1 == 7) # same conditional value
block_3 = {'b3_1': 'phi'}
block_3_obj = SMT_Block(block_3, thresh)
values.extend(block_3_obj.block_values)
block_3_vars = [ele.var for ele in block_3_obj.block_z3_vars
] # for the conditional constraints
# all block objects
block_objs = [block_1_obj, block_2_obj, block_3_obj]
X = [c1]
X.extend([ele.var for ele in block_1_obj.block_z3_vars
]) # added the variables for block 1
X.extend([ele.var for ele in block_2_obj.block_z3_vars
]) # added the variables for block 2
X.extend([ele.var for ele in block_3_obj.block_z3_vars
]) # added the variables for block 2
constraints = block_1_obj.block_append_constraints + block_1_obj.flip_turns_constraints + block_1_obj.block_elimination_constraints + \
block_2_obj.block_append_constraints + block_2_obj.flip_turns_constraints + block_2_obj.block_elimination_constraints + \
block_3_obj.block_append_constraints + block_3_obj.flip_turns_constraints + block_3_obj.block_elimination_constraints
single_block_change_cons = single_block_change(block_objs)
constraints.extend(single_block_change_cons)
constraints.extend([
# conditional constraints: if_else(bool_path_ahead)---if block constraints
z3.Implies(
c1 == 7,
z3.Or(
block_1_vars[0] == 1,
block_1_vars[1] == 1,
block_1_vars[2] == 1,
block_1_vars[3] == 1,
block_1_vars[4] == 1,
)),
z3.Implies(z3.And(c1 == 7, block_1_vars[1] == 1, block_1_vars[0] != 1),
z3.And(block_1_vars[0] != 2, block_1_vars[0] != 3)),
z3.Implies(
z3.And(c1 == 7, block_1_vars[2] == 1, block_1_vars[0] != 1,
block_1_vars[1] != 1),
z3.And(block_1_vars[0] != 2, block_1_vars[0] != 3,
block_1_vars[1] != 2, block_1_vars[1] != 3)),
z3.Implies(
z3.And(c1 == 7, block_1_vars[3] == 1, block_1_vars[0] != 1,
block_1_vars[1] != 1, block_1_vars[2] != 1),
z3.And(block_1_vars[0] != 2, block_1_vars[0] != 3,
block_1_vars[1] != 2, block_1_vars[1] != 3,
block_1_vars[2] != 2, block_1_vars[2] != 3)),
z3.Implies(
z3.And(c1 == 7, block_1_vars[4] == 1, block_1_vars[0] != 1,
block_1_vars[1] != 1, block_1_vars[2] != 1,
block_1_vars[3] != 1),
z3.And(block_1_vars[0] != 2, block_1_vars[0] != 3,
block_1_vars[1] != 2, block_1_vars[1] != 3,
block_1_vars[2] != 2, block_1_vars[2] != 3,
block_1_vars[3] != 2, block_1_vars[3] != 3)),
# else block constraints
z3.Implies(c1 == 7, block_2_vars[0] != 1),
z3.Implies(z3.And(c1 == 7, block_2_vars[1] == 1, block_2_vars[0] != 1),
z3.Or(block_2_vars[0] == 2, block_2_vars[0] == 3)),
z3.Implies(
z3.And(c1 == 7, block_2_vars[2] == 1, block_2_vars[0] != 1,
block_2_vars[1] != 1),
z3.Or(block_2_vars[0] == 2, block_2_vars[0] == 3,
block_2_vars[1] == 2, block_2_vars[1] == 3)),
z3.Implies(
z3.And(c1 == 7, block_2_vars[3] == 1, block_2_vars[0] != 1,
block_2_vars[1] != 1, block_2_vars[2] != 1),
z3.Or(block_2_vars[0] == 2, block_2_vars[0] == 3,
block_2_vars[1] == 2, block_2_vars[1] == 3,
block_2_vars[2] == 2, block_2_vars[2] == 3)),
z3.Implies(
z3.And(c1 == 7, block_2_vars[4] == 1, block_2_vars[0] != 1,
block_2_vars[1] != 1, block_2_vars[2] != 1,
block_2_vars[3] != 1),
z3.Or(block_2_vars[0] == 2, block_2_vars[0] == 3,
block_2_vars[1] == 2, block_2_vars[1] == 3,
block_2_vars[2] == 2, block_2_vars[2] == 3,
block_2_vars[3] == 2, block_2_vars[3] == 3)),
])
unequal_blocks_con = block_unequal_constraint(block_1_obj, block_2_obj)
constraints.extend(unequal_blocks_con)
# add the values and the constraints
solver.add(values + constraints)
# generate all the assignments
models = gen_all(solver, X)
assignments = []
for model in models:
a = [
'repeat_until_goal(bool_goal)',
type_to_str[ConditionalType(model[c1].as_long())]
]
a.extend([
type_to_str[VariableType(model[ele].as_long())]
for ele in X[1:block_1_obj.size + 1]
])
a.extend([
type_to_str[VariableType(model[ele].as_long())]
for ele in X[block_1_obj.size + 1:block_2_obj.size +
block_1_obj.size + 1]
])
a.extend([
type_to_str[VariableType(model[ele].as_long())]
for ele in block_3_vars
])
assignments.append(a)
#print(a)
#print('Found #{} SAT values'.format(len(models)))
return assignments
def generate_test(f_pos, f_neg, mutants, tests, aps, coverages):
"""
Generates test for a given formula.
Args:
f_pos (z3 instance) : Positive Z3 representation of temporal logic formula for which tests are generated.
f_neg (z3 instance) : Negative Z3 representation of temporal logic formula for which tests are generated.
mutants (list) : List of Z3 encoded mutants of formula.
tests (list) : List of tuples of already generated tests for the formula and their kind
(whether they satisfy the original formula or not).
aps (list) : List of Z3 instances of atomic propositions used in the formula and its mutants.
coverages (list) : List of ints that each correspond to the percentage of mutants killed by the test at
the same position in the list of tests.
Returns:
tuple : Tuple with positive and negative formulae, mutants and aps as above.
Tests and coverages now also include the newly generated test.
"""
def get_test(solver_input, alternative_input):
t = None
kind = None
s = z3.Solver()
s.push()
s.add(solver_input)
if s.check() == z3.sat:
t = s.model()
kind = True
else:
# If test cannot be generated with this solver input try alternative
s.pop()
s.push()
s.add(alternative_input)
if s.check() == z3.sat:
t = s.model()
kind = False
return t, kind
# Find first mutant in list that has not been killed yet
m_index = -1
m_pos = m_neg = None
for i in range(0, len(mutants)):
tmp = mutants[i]
if not tmp.killed:
m_pos = tmp.z3_pos
m_neg = tmp.z3_neg
mutants[i].killed = True
m_index = i
break
# If all mutants were killed return None
if m_index == -1:
return None
# Randomly generate positive or negative test
if random.getrandbits(1):
(t, kind) = get_test(z3.And(f_pos, m_neg),
z3.And(f_neg, m_pos)) # Positive test if possible
else:
(t, kind) = get_test(z3.And(f_neg, m_pos),
z3.And(f_pos, m_neg)) # Negative test if possible
kind = not kind
# If no test was generated proceed with next mutant
if t is None:
return generate_test(f_pos, f_neg, mutants, tests, aps, coverages)
# Else return tuple with updated sets of tests and mutants
else:
tests.append(t)
coverages.append(check_kills(f_pos, f_neg, mutants, t, aps))
return f_pos, f_neg, mutants, tests, aps, coverages, kind
class Z3Context(Context):
def __init__(self, *args, **kw):
Context.__init__(self, *args, **kw)
self.solver = z3.Solver()
def __getitem__(self, key):
if not isinstance(key, Sort) and key in self.storage:
return self.storage[key]
elif isinstance(key, Sort):
if key.name in self.storage:
return self.storage[key.name]
val = self.new_from_sort(key)
self.storage[key.name] = val
return val
else:
raise ValueError("%s not found! %s. %s." %(key, type(key), self.storage))
def new_from_sort(self, key):
if isinstance(key, Bool):
key = key.name
val = z3.Bool(key)
return val
elif isinstance(key, Int):
key = key.name
val = z3.Int(key)
return val
elif isinstance(key, String):
key = key.name
val = z3.String(key)
return val
elif isinstance(key, BitVec):
name = key.name
size = key.size
val = z3.BitVec(name, size)
return val
raise TypeError("%s not supported!" %type(key))
def s_assert(self, expr):
self.solver.assert_exprs(expr.cval(self))
def s_check(self):
res = self.solver.check()
return res
def s_model(self):
try:
m = self.solver.model()
return self.process_model(m)
except z3.Z3Exception:
return {}
def s_push(self):
self.solver.push()
def s_pop(self):
self.solver.pop()
def s_reset(self):
self.solver.reset()
def solve(self, AST):
outputs = []
self.s_reset()
for node in AST:
if isinstance(node, Sort):
self.s_assert(node)
elif isinstance(node, Let):
self.s_assert(node.term)
elif isinstance(node, Command):
if node.cname == "push":
self.s_push()
elif node.cname == "pop":
self.s_pop()
elif node.cname == "check-sat":
logger.info("\n-------")
outputs.append(self.s_check())
logger.info("Check: %s" % outputs[-1])
elif node.cname == "get-model":
outputs.append(self.s_model())
logger.info("Model: %s" % outputs[-1])
else:
raise ValueError("Command %s not supported!" %node)
return outputs
def process_model(self, z3_model):
m = {}
for v in z3_model:
m[v.name()] = self.get_py_value(z3_model.get_interp(v))
return m
def get_py_value(self, assignment):
if z3.is_ast(assignment):
if z3.is_int_value(assignment):
return assignment.as_long()
if z3.is_bool(assignment):
return z3.is_true(assignment)
if z3.is_string_value(assignment):
try:
val = assignment.as_string()[1:-1] # remove quotes
val = val.replace("\\x00", "")
return str(val)
# Z3 throws encoding errors. It can't decode its own solution..
# TODO find a better fix.
except UnicodeDecodeError:
val = assignment.as_ast()
return repr(val)
raise ValueError("Unsupported Z3 type! %s" % type(assignment))
return assignment
BoolVal = lambda self, x : z3.BoolVal(x)
StringVal = lambda self, x : z3.StringVal(x)
IntVal = lambda self, x : z3.IntVal(x)
BitVecVal = lambda self, val, size : z3.BitVecVal(val, size)
And = lambda self, *x : z3.And(x)
Or = lambda self, *x : z3.Or(x)
Xor = lambda self, *x : reduce(xor, x)
Implies = lambda self, x, y : z3.Implies(x, y)
Distinct = lambda self, x, y : z3.Distinct(x, y)
def Eq(self, x, y):
# x = z3.String("x")
# x == "test" #throws an error. This is a workaround for now.
x = z3.StringVal(x) if isinstance(x,str) else x
y = z3.StringVal(y) if isinstance(y,str) else y
return eq(x,y)
Not = lambda self, x : z3.Not(x)
If = lambda self, *x : z3.If(*x)
add = lambda self, *x : reduce(add, x)
sub = lambda self, *x : reduce(sub, x) if len(x) > 1 else -x[0]
mul = lambda self, *x : reduce(mul, x)
lt = lambda self, *x : reduce(lt, x)
le = lambda self, *x : reduce(le, x)
gt = lambda self, *x : reduce(gt, x)
ge = lambda self, *x : reduce(ge, x)
concat = lambda self, *x : reduce(add, x)
length = lambda self, x : z3.Length(x)
contains = lambda self, x, y : z3.Contains(x, y)
indexof = lambda self, x, y, z=0 : z3.IndexOf(x, y, z)
extract = lambda self, x, y, z : z3.Extract(x, y, z)
bvadd = add
bvsub = sub
bvmul = mul
bvxor = Xor
bvneg = lambda self, x : neg(x)
bvnot = lambda self, x : inv(x)
bvconcat = lambda self, *x : z3.Concat(*x)
bvlshr = lambda self, x, y : z3.LShR(x, y)
bvlshl = lambda self, x, y : z3.LShL(x, y)
bvuge = lambda self, x, y : z3.UGE(x, y)
bvurem = lambda self, x, y : z3.URem(x, y)
# TODO Need to define all these with stuff in computation folder
FPAbs = lambda self, *x : None
FPNeg = lambda self, *x : None
FPAdd = lambda self, *x : None
FPSub = lambda self, *x : None
FPMul = lambda self, *x : None
FPDiv = lambda self, *x : None
FPFMA = lambda self, *x : None
FPRem = lambda self, *x : None
FPSqrt = lambda self, *x : None
FPRoundToIntegral = lambda self, *x : None
FPMin = lambda self, *x : None
FPMax = lambda self, *x : None
FPLEQ = lambda self, *x : None
FPLT = lambda self, *x : None
FPGEQ = lambda self, *x : None
FPGT = lambda self, *x : None
FPEQ = lambda self, *x : None
FPIsNormal = lambda self, *x : None
FPIsSubNormal = lambda self, *x : None
FPIsZero = lambda self, *x : None
FPIsInfinite = lambda self, *x : None
FPIsNan = lambda self, *x : None
FPIsNegative = lambda self, *x : None
FPIsPositive = lambda self, *x : None
