def _update(self):
if not self.has_formula():
return
rels = list()
find_all_uninterp_consts(self._formula, rels)
self._rels = frozenset(rels)
body = self._formula
if z3.is_quantifier(body):
body, self._bound_constants = ground_quantifier(body)
if z3.is_implies(body):
self._head = body.arg(1)
body = body.arg(0)
if z3.is_and(body):
body = body.children()
else:
body = [body]
else:
self._head = body
body = []
if len(body) > 0:
self._body = body
for i in range(len(body)):
f = body[i]
if z3.is_app(f) and f.decl() in self._rels:
self._uninterp_sz += 1
else:
break
assert (self._head is not None)
def find_all_uninterp_consts(formula, res):
if z3.is_quantifier(formula):
formula = formula.body()
worklist = []
if z3.is_implies(formula):
worklist.append(formula.arg(1))
arg0 = formula.arg(0)
if z3.is_and(arg0):
worklist.extend(arg0.children())
else:
worklist.append(arg0)
else:
worklist.append(formula)
for t in worklist:
if z3.is_app(t) and t.decl().kind() == z3.Z3_OP_UNINTERPRETED:
res.append(t.decl())
def _update(self):
if not self.has_formula():
return
rels = list()
find_all_uninterp_consts(self._formula, rels)
self._rels = frozenset(rels)
body = self._formula
if z3.is_quantifier(body):
body, self._bound_constants = ground_quantifier(body)
if z3.is_implies(body):
self._head = body.arg(1)
body = body.arg(0)
if z3.is_and(body):
body = body.children()
else:
body = [body]
else:
self._head = body
body = []
# remove all true constants
body = [x for x in body if not z3.is_true(x)]
if len(body) > 0:
self._body = body
for i in range(len(body)):
f = body[i]
if z3.is_app(f) and f.decl() in self._rels:
self._uninterp_sz += 1
else:
break
# reset _formula, it can be re-computed using mk_formula()
# this ensures that any simplifications that are done during _update() are
# also reflected in the formula view
self._formula = None
assert self._head is not None
def _back_single_term(self, expr, args):
assert z3.is_expr(expr)
if z3.is_quantifier(expr):
raise NotImplementedError(
"Quantified back conversion is currently not supported")
res = None
if z3.is_and(expr):
res = self.mgr.And(args)
elif z3.is_or(expr):
res = self.mgr.Or(args)
elif z3.is_add(expr):
res = self.mgr.Plus(args)
elif z3.is_div(expr):
res = self.mgr.Div(args[0], args[1])
elif z3.is_eq(expr):
if self._get_type(args[0]).is_bool_type():
res = self.mgr.Iff(args[0], args[1])
else:
res = self.mgr.Equals(args[0], args[1])
elif z3.is_iff(expr):
res = self.mgr.Iff(args[0], args[1])
elif z3.is_xor(expr):
res = self.mgr.Xor(args[0], args[1])
elif z3.is_false(expr):
res = self.mgr.FALSE()
elif z3.is_true(expr):
res = self.mgr.TRUE()
elif z3.is_gt(expr):
res = self.mgr.GT(args[0], args[1])
elif z3.is_ge(expr):
res = self.mgr.GE(args[0], args[1])
elif z3.is_lt(expr):
res = self.mgr.LT(args[0], args[1])
elif z3.is_le(expr):
res = self.mgr.LE(args[0], args[1])
elif z3.is_mul(expr):
res = self.mgr.Times(args[0], args[1])
elif z3.is_uminus(expr):
tp = self._get_type(args[0])
if tp.is_real_type():
minus_one = self.mgr.Real(-1)
else:
assert tp.is_int_type()
minus_one = self.mgr.Int(-1)
res = self.mgr.Times(args[0], minus_one)
elif z3.is_sub(expr):
res = self.mgr.Minus(args[0], args[1])
elif z3.is_not(expr):
res = self.mgr.Not(args[0])
elif z3.is_implies(expr):
res = self.mgr.Implies(args[0], args[1])
elif z3.is_quantifier(expr):
raise NotImplementedError
elif z3.is_const(expr):
if z3.is_rational_value(expr):
n = expr.numerator_as_long()
d = expr.denominator_as_long()
f = Fraction(n, d)
res = self.mgr.Real(f)
elif z3.is_int_value(expr):
n = expr.as_long()
res = self.mgr.Int(n)
elif z3.is_bv_value(expr):
n = expr.as_long()
w = expr.size()
res = self.mgr.BV(n, w)
else:
# it must be a symbol
res = self.mgr.get_symbol(str(expr))
elif z3.is_ite(expr):
res = self.mgr.Ite(args[0], args[1], args[2])
elif z3.is_function(expr):
res = self.mgr.Function(self.mgr.get_symbol(expr.decl().name()), args)
elif z3.is_to_real(expr):
res = self.mgr.ToReal(args[0])
elif z3.is_bv_and(expr):
res = self.mgr.BVAnd(args[0], args[1])
elif z3.is_bv_or(expr):
res = self.mgr.BVOr(args[0], args[1])
elif z3.is_bv_xor(expr):
res = self.mgr.BVXor(args[0], args[1])
elif z3.is_bv_not(expr):
res = self.mgr.BVNot(args[0])
elif z3.is_bv_neg(expr):
res = self.mgr.BVNeg(args[0])
elif z3.is_bv_concat(expr):
res = self.mgr.BVConcat(args[0], args[1])
elif z3.is_bv_ult(expr):
res = self.mgr.BVULT(args[0], args[1])
elif z3.is_bv_uleq(expr):
res = self.mgr.BVULE(args[0], args[1])
elif z3.is_bv_slt(expr):
res = self.mgr.BVSLT(args[0], args[1])
elif z3.is_bv_sleq(expr):
res = self.mgr.BVSLE(args[0], args[1])
elif z3.is_bv_ugt(expr):
res = self.mgr.BVUGT(args[0], args[1])
elif z3.is_bv_ugeq(expr):
res = self.mgr.BVUGE(args[0], args[1])
elif z3.is_bv_sgt(expr):
res = self.mgr.BVSGT(args[0], args[1])
elif z3.is_bv_sgeq(expr):
res = self.mgr.BVSGE(args[0], args[1])
elif z3.is_bv_extract(expr):
end = z3.get_payload(expr, 0)
start = z3.get_payload(expr, 1)
res = self.mgr.BVExtract(args[0], start, end)
elif z3.is_bv_add(expr):
res = self.mgr.BVAdd(args[0], args[1])
elif z3.is_bv_mul(expr):
res = self.mgr.BVMul(args[0], args[1])
elif z3.is_bv_udiv(expr):
res = self.mgr.BVUDiv(args[0], args[1])
elif z3.is_bv_sdiv(expr):
res = self.mgr.BVSDiv(args[0], args[1])
elif z3.is_bv_urem(expr):
res = self.mgr.BVURem(args[0], args[1])
elif z3.is_bv_srem(expr):
res = self.mgr.BVSRem(args[0], args[1])
elif z3.is_bv_lshl(expr):
res = self.mgr.BVLShl(args[0], args[1])
elif z3.is_bv_lshr(expr):
res = self.mgr.BVLShr(args[0], args[1])
elif z3.is_bv_ashr(expr):
res = self.mgr.BVAShr(args[0], args[1])
elif z3.is_bv_sub(expr):
res = self.mgr.BVSub(args[0], args[1])
elif z3.is_bv_rol(expr):
amount = z3.get_payload(expr, 0)
res = self.mgr.BVRol(args[0], amount)
elif z3.is_bv_ror(expr):
amount = z3.get_payload(expr, 0)
res = self.mgr.BVRor(args[0], amount)
elif z3.is_bv_ext_rol(expr):
amount = args[1].bv_unsigned_value()
res = self.mgr.BVRol(args[0], amount)
elif z3.is_bv_ext_ror(expr):
amount = args[1].bv_unsigned_value()
res = self.mgr.BVRor(args[0], amount)
elif z3.is_bv_sext(expr):
amount = z3.get_payload(expr, 0)
res = self.mgr.BVSExt(args[0], amount)
elif z3.is_bv_zext(expr):
amount = z3.get_payload(expr, 0)
res = self.mgr.BVZExt(args[0], amount)
if res is None:
raise ConvertExpressionError(message=("Unsupported expression: %s" %
str(expr)),
expression=expr)
return res
def _back_single_term(self, expr, args, model=None):
assert z3.is_expr(expr)
if z3.is_quantifier(expr):
raise NotImplementedError(
"Quantified back conversion is currently not supported")
res = None
if z3.is_and(expr):
res = self.mgr.And(args)
elif z3.is_or(expr):
res = self.mgr.Or(args)
elif z3.is_add(expr):
res = self.mgr.Plus(args)
elif z3.is_div(expr):
res = self.mgr.Div(args[0], args[1])
elif z3.is_eq(expr):
if self._get_type(args[0]).is_bool_type():
res = self.mgr.Iff(args[0], args[1])
else:
res = self.mgr.Equals(args[0], args[1])
elif z3.is_iff(expr):
res = self.mgr.Iff(args[0], args[1])
elif z3.is_xor(expr):
res = self.mgr.Xor(args[0], args[1])
elif z3.is_false(expr):
res = self.mgr.FALSE()
elif z3.is_true(expr):
res = self.mgr.TRUE()
elif z3.is_gt(expr):
res = self.mgr.GT(args[0], args[1])
elif z3.is_ge(expr):
res = self.mgr.GE(args[0], args[1])
elif z3.is_lt(expr):
res = self.mgr.LT(args[0], args[1])
elif z3.is_le(expr):
res = self.mgr.LE(args[0], args[1])
elif z3.is_mul(expr):
res = self.mgr.Times(args[0], args[1])
elif z3.is_uminus(expr):
tp = self._get_type(args[0])
if tp.is_real_type():
minus_one = self.mgr.Real(-1)
else:
assert tp.is_int_type()
minus_one = self.mgr.Int(-1)
res = self.mgr.Times(args[0], minus_one)
elif z3.is_sub(expr):
res = self.mgr.Minus(args[0], args[1])
elif z3.is_not(expr):
res = self.mgr.Not(args[0])
elif z3.is_implies(expr):
res = self.mgr.Implies(args[0], args[1])
elif z3.is_quantifier(expr):
raise NotImplementedError
elif z3.is_const(expr):
if z3.is_rational_value(expr):
n = expr.numerator_as_long()
d = expr.denominator_as_long()
f = Fraction(n, d)
res = self.mgr.Real(f)
elif z3.is_int_value(expr):
n = expr.as_long()
res = self.mgr.Int(n)
elif z3.is_bv_value(expr):
n = expr.as_long()
w = expr.size()
res = self.mgr.BV(n, w)
elif z3.is_as_array(expr):
if model is None:
raise NotImplementedError("As-array expressions cannot be" \
" handled as they are not " \
"self-contained")
else:
interp_decl = z3.get_as_array_func(expr)
interp = model[interp_decl]
default = self.back(interp.else_value(), model=model)
assign = {}
for i in xrange(interp.num_entries()):
e = interp.entry(i)
assert e.num_args() == 1
idx = self.back(e.arg_value(0), model=model)
val = self.back(e.value(), model=model)
assign[idx] = val
arr_type = self._z3_to_type(expr.sort())
res = self.mgr.Array(arr_type.index_type, default, assign)
elif z3.is_algebraic_value(expr):
# Algebraic value
return self.mgr._Algebraic(Numeral(expr))
else:
# it must be a symbol
res = self.mgr.get_symbol(str(expr))
elif z3.is_ite(expr):
res = self.mgr.Ite(args[0], args[1], args[2])
elif z3.is_function(expr):
res = self.mgr.Function(self.mgr.get_symbol(expr.decl().name()), args)
elif z3.is_to_real(expr):
res = self.mgr.ToReal(args[0])
elif z3.is_bv_and(expr):
res = self.mgr.BVAnd(args[0], args[1])
elif z3.is_bv_or(expr):
res = self.mgr.BVOr(args[0], args[1])
elif z3.is_bv_xor(expr):
res = self.mgr.BVXor(args[0], args[1])
elif z3.is_bv_not(expr):
res = self.mgr.BVNot(args[0])
elif z3.is_bv_neg(expr):
res = self.mgr.BVNeg(args[0])
elif z3.is_bv_concat(expr):
res = self.mgr.BVConcat(args[0], args[1])
elif z3.is_bv_ult(expr):
res = self.mgr.BVULT(args[0], args[1])
elif z3.is_bv_uleq(expr):
res = self.mgr.BVULE(args[0], args[1])
elif z3.is_bv_slt(expr):
res = self.mgr.BVSLT(args[0], args[1])
elif z3.is_bv_sleq(expr):
res = self.mgr.BVSLE(args[0], args[1])
elif z3.is_bv_ugt(expr):
res = self.mgr.BVUGT(args[0], args[1])
elif z3.is_bv_ugeq(expr):
res = self.mgr.BVUGE(args[0], args[1])
elif z3.is_bv_sgt(expr):
res = self.mgr.BVSGT(args[0], args[1])
elif z3.is_bv_sgeq(expr):
res = self.mgr.BVSGE(args[0], args[1])
elif z3.is_bv_extract(expr):
end = z3.get_payload(expr, 0)
start = z3.get_payload(expr, 1)
res = self.mgr.BVExtract(args[0], start, end)
elif z3.is_bv_add(expr):
res = self.mgr.BVAdd(args[0], args[1])
elif z3.is_bv_mul(expr):
res = self.mgr.BVMul(args[0], args[1])
elif z3.is_bv_udiv(expr):
res = self.mgr.BVUDiv(args[0], args[1])
elif z3.is_bv_sdiv(expr):
res = self.mgr.BVSDiv(args[0], args[1])
elif z3.is_bv_urem(expr):
res = self.mgr.BVURem(args[0], args[1])
elif z3.is_bv_srem(expr):
res = self.mgr.BVSRem(args[0], args[1])
elif z3.is_bv_lshl(expr):
res = self.mgr.BVLShl(args[0], args[1])
elif z3.is_bv_lshr(expr):
res = self.mgr.BVLShr(args[0], args[1])
elif z3.is_bv_ashr(expr):
res = self.mgr.BVAShr(args[0], args[1])
elif z3.is_bv_sub(expr):
res = self.mgr.BVSub(args[0], args[1])
elif z3.is_bv_rol(expr):
amount = z3.get_payload(expr, 0)
res = self.mgr.BVRol(args[0], amount)
elif z3.is_bv_ror(expr):
amount = z3.get_payload(expr, 0)
res = self.mgr.BVRor(args[0], amount)
elif z3.is_bv_ext_rol(expr):
amount = args[1].bv_unsigned_value()
res = self.mgr.BVRol(args[0], amount)
elif z3.is_bv_ext_ror(expr):
amount = args[1].bv_unsigned_value()
res = self.mgr.BVRor(args[0], amount)
elif z3.is_bv_sext(expr):
amount = z3.get_payload(expr, 0)
res = self.mgr.BVSExt(args[0], amount)
elif z3.is_bv_zext(expr):
amount = z3.get_payload(expr, 0)
res = self.mgr.BVZExt(args[0], amount)
elif z3.is_array_select(expr):
res = self.mgr.Select(args[0], args[1])
elif z3.is_array_store(expr):
res = self.mgr.Store(args[0], args[1], args[2])
elif z3.is_const_array(expr):
arr_ty = self._z3_to_type(expr.sort())
k = args[0]
res = self.mgr.Array(arr_ty.index_type, k)
elif z3.is_power(expr):
res = self.mgr.Pow(args[0], args[1])
if res is None:
raise ConvertExpressionError(message=("Unsupported expression: %s" %
str(expr)),
expression=expr)
return res