def Uop(bvop, bop, in_, out):
# INVAR: (<op> in) = out)
vars_ = [in_, out]
comment = "" #(bvop.__name__ + " (in, out) = (%s, %s)")%(tuple([x.symbol_name() for x in vars_]))
Logger.log(comment, 3)
in_B = get_type(in_).is_bool_type()
outB = get_type(out).is_bool_type()
bools = (1 if in_B else 0) + (1 if outB else 0)
if bop == None:
if in_B:
in_ = B2BV(in_)
if outB:
out = B2BV(out)
invar = EqualsOrIff(bvop(in_), out)
else:
if bools == 2:
invar = EqualsOrIff(bop(in_), out)
elif bools == 0:
invar = EqualsOrIff(bvop(in_), out)
else:
if not in_B:
invar = EqualsOrIff(bop(BV2B(in_)), out)
if not outB:
invar = EqualsOrIff(bop(in_), BV2B(out))
ts = TS(comment)
ts.vars, ts.invar = get_free_variables(invar), invar
return ts
def Zext(in_, out):
# INVAR: (<op> in) = out)
vars_ = [in_, out]
comment = ("ZExt (in, out) = (%s, %s)") % (tuple(
[x.symbol_name() for x in vars_]))
Logger.log(comment, 3)
if (in_.symbol_type() == BOOL) and (out.symbol_type() == BOOL):
invar = EqualsOrIff(in_, out)
if (in_.symbol_type() != BOOL) and (out.symbol_type() == BOOL):
invar = EqualsOrIff(BV2B(in_), out)
if (in_.symbol_type() == BOOL) and (out.symbol_type() != BOOL):
length = (out.symbol_type().width) - 1
if length == 0:
invar = EqualsOrIff(in_, BV2B(out))
else:
invar = EqualsOrIff(BVZExt(B2BV(in_), length), out)
if (in_.symbol_type() != BOOL) and (out.symbol_type() != BOOL):
length = (out.symbol_type().width) - (in_.symbol_type().width)
if length == 0:
invar = EqualsOrIff(in_, out)
else:
invar = EqualsOrIff(BVZExt(in_, length), out)
ts = TS(comment)
ts.vars, ts.invar = set(vars_), invar
return ts
def Negedge(self, x):
if get_type(x).is_bool_type():
if (self.encoder_config is not None) and (self.encoder_config.abstract_clock):
return Not(x)
return And(x, Not(TS.to_next(x)))
if (self.encoder_config is not None) and (self.encoder_config.abstract_clock):
return EqualsOrIff(x, BV(0,1))
return And(BV2B(x), EqualsOrIff(TS.to_next(x), BV(0,1)))
def Posedge(self, x):
if get_type(x).is_bool_type():
if (self.encoder_config is not None) and (self.encoder_config.abstract_clock):
return x
return And(Not(x), TS.to_next(x))
if (self.encoder_config is not None) and (self.encoder_config.abstract_clock):
return EqualsOrIff(x, BV(1,1))
return And(EqualsOrIff(x, BV(0,1)), BV2B(TS.to_next(x)))
def Bop(bvop, bop, in0, in1, out):
# INVAR: (in0 <op> in1) = out
vars_ = [in0, in1, out]
comment = (bvop.__name__ + " (in0, in1, out) = (%s, %s, %s)") % (tuple(
[x.symbol_name() for x in vars_]))
Logger.log(comment, 3)
in0B = in0.symbol_type() == BOOL
in1B = in1.symbol_type() == BOOL
outB = out.symbol_type() == BOOL
bools = (1 if in0B else 0) + (1 if in1B else 0) + (1 if outB else 0)
if bop == None:
if in0B:
in0 = Ite(in0, BV(1, 1), BV(0, 1))
if in1B:
in1 = Ite(in1, BV(1, 1), BV(0, 1))
if outB:
out = Ite(out, BV(1, 1), BV(0, 1))
invar = EqualsOrIff(bvop(in0, in1), out)
else:
if bools == 3:
invar = EqualsOrIff(bop(in0, in1), out)
elif bools == 0:
invar = EqualsOrIff(bvop(in0, in1), out)
elif bools == 1:
if in0B:
invar = EqualsOrIff(bvop(B2BV(in0), in1), out)
if in1B:
invar = EqualsOrIff(bvop(in0, B2BV(in1)), out)
if outB:
invar = EqualsOrIff(BV2B(bvop(in0, in1)), out)
else:
if not in0B:
invar = EqualsOrIff(bop(BV2B(in0), in1), out)
if not in1B:
invar = EqualsOrIff(bop(in0, BV2B(in1)), out)
if not outB:
invar = EqualsOrIff(B2BV(bop(in0, in1)), out)
ts = TS(comment)
ts.vars, ts.invar = set(vars_), invar
return ts
def getnode(nid):
node_covered.add(nid)
if int(nid) < 0:
return Ite(BV2B(nodemap[str(-int(nid))]), BV(0,1), BV(1,1))
return nodemap[nid]
def parse_string(self, strinput):
hts = HTS()
ts = TS()
nodemap = {}
node_covered = set([])
# list of tuples of var and cond_assign_list
# cond_assign_list is tuples of (condition, value)
# where everything is a pysmt FNode
# for btor, the condition is always True
ftrans = []
initlist = []
invarlist = []
invar_props = []
ltl_props = []
prop_count = 0
# clean string input, remove special characters from names
for sc, rep in special_char_replacements.items():
strinput = strinput.replace(sc, rep)
def getnode(nid):
node_covered.add(nid)
if int(nid) < 0:
return Ite(BV2B(nodemap[str(-int(nid))]), BV(0,1), BV(1,1))
return nodemap[nid]
def binary_op(bvop, bop, left, right):
if (get_type(left) == BOOL) and (get_type(right) == BOOL):
return bop(left, right)
return bvop(B2BV(left), B2BV(right))
def unary_op(bvop, bop, left):
if (get_type(left) == BOOL):
return bop(left)
return bvop(left)
for line in strinput.split(NL):
linetok = line.split()
if len(linetok) == 0:
continue
if linetok[0] == COM:
continue
(nid, ntype, *nids) = linetok
if ntype == SORT:
(stype, *attr) = nids
if stype == BITVEC:
nodemap[nid] = BVType(int(attr[0]))
node_covered.add(nid)
if stype == ARRAY:
nodemap[nid] = ArrayType(getnode(attr[0]), getnode(attr[1]))
node_covered.add(nid)
if ntype == WRITE:
nodemap[nid] = Store(*[getnode(n) for n in nids[1:4]])
if ntype == READ:
nodemap[nid] = Select(getnode(nids[1]), getnode(nids[2]))
if ntype == ZERO:
nodemap[nid] = BV(0, getnode(nids[0]).width)
if ntype == ONE:
nodemap[nid] = BV(1, getnode(nids[0]).width)
if ntype == ONES:
width = getnode(nids[0]).width
nodemap[nid] = BV((2**width)-1, width)
if ntype == REDOR:
width = get_type(getnode(nids[1])).width
zeros = BV(0, width)
nodemap[nid] = BVNot(BVComp(getnode(nids[1]), zeros))
if ntype == REDXOR:
width = get_type(getnode(nids[1])).width
nodemap[nid] = BV(0, width)
zeros = BV(0, width)
for yx_i in range(width):
tmp = BV(1 << yx_i, width)
tmp_2 = BVAnd(tmp, B2BV(getnode(nids[1])))
tmp_3 = BVZExt(B2BV(BVComp(tmp_2, zeros)), int(width - 1))
nodemap[nid] = BVAdd(tmp_3, nodemap[nid])
nodemap[nid] = BVComp(BVAnd(BV(1, width), nodemap[nid]), BV(1, width))
if ntype == REDAND:
width = get_type(getnode(nids[1])).width
ones = BV((2**width)-1, width)
nodemap[nid] = BVComp(getnode(nids[1]), ones)
if ntype == CONSTD:
width = getnode(nids[0]).width
nodemap[nid] = BV(int(nids[1]), width)
if ntype == CONST:
width = getnode(nids[0]).width
nodemap[nid] = BV(bin_to_dec(nids[1]), width)
if ntype == STATE:
if len(nids) > 1:
nodemap[nid] = Symbol(nids[1], getnode(nids[0]))
else:
nodemap[nid] = Symbol((SN%nid), getnode(nids[0]))
ts.add_state_var(nodemap[nid])
if ntype == INPUT:
if len(nids) > 1:
nodemap[nid] = Symbol(nids[1], getnode(nids[0]))
else:
nodemap[nid] = Symbol((SN%nid), getnode(nids[0]))
ts.add_input_var(nodemap[nid])
if ntype == OUTPUT:
# unfortunately we need to create an extra symbol just to have the output name
# we could be smarter about this, but then this parser can't be greedy
original_symbol = getnode(nids[0])
output_symbol = Symbol(nids[1], original_symbol.get_type())
nodemap[nid] = EqualsOrIff(output_symbol, original_symbol)
invarlist.append(nodemap[nid])
node_covered.add(nid)
ts.add_output_var(output_symbol)
if ntype == AND:
nodemap[nid] = binary_op(BVAnd, And, getnode(nids[1]), getnode(nids[2]))
if ntype == CONCAT:
nodemap[nid] = BVConcat(B2BV(getnode(nids[1])), B2BV(getnode(nids[2])))
if ntype == XOR:
nodemap[nid] = binary_op(BVXor, Xor, getnode(nids[1]), getnode(nids[2]))
if ntype == XNOR:
nodemap[nid] = BVNot(binary_op(BVXor, Xor, getnode(nids[1]), getnode(nids[2])))
if ntype == NAND:
bvop = lambda x,y: BVNot(BVAnd(x, y))
bop = lambda x,y: Not(And(x, y))
nodemap[nid] = binary_op(bvop, bop, getnode(nids[1]), getnode(nids[2]))
if ntype == IMPLIES:
nodemap[nid] = BVOr(BVNot(getnode(nids[1])), getnode(nids[2]))
if ntype == NOT:
nodemap[nid] = unary_op(BVNot, Not, getnode(nids[1]))
if ntype == NEG:
nodemap[nid] = unary_op(BVNeg, Not, getnode(nids[1]))
if ntype == UEXT:
nodemap[nid] = BVZExt(B2BV(getnode(nids[1])), int(nids[2]))
if ntype == SEXT:
nodemap[nid] = BVSExt(B2BV(getnode(nids[1])), int(nids[2]))
if ntype == OR:
nodemap[nid] = binary_op(BVOr, Or, getnode(nids[1]), getnode(nids[2]))
if ntype == ADD:
nodemap[nid] = BVAdd(B2BV(getnode(nids[1])), B2BV(getnode(nids[2])))
if ntype == SUB:
nodemap[nid] = BVSub(B2BV(getnode(nids[1])), B2BV(getnode(nids[2])))
if ntype == UGT:
nodemap[nid] = BVUGT(B2BV(getnode(nids[1])), B2BV(getnode(nids[2])))
if ntype == UGTE:
nodemap[nid] = BVUGE(B2BV(getnode(nids[1])), B2BV(getnode(nids[2])))
if ntype == ULT:
nodemap[nid] = BVULT(B2BV(getnode(nids[1])), B2BV(getnode(nids[2])))
if ntype == ULTE:
nodemap[nid] = BVULE(B2BV(getnode(nids[1])), B2BV(getnode(nids[2])))
if ntype == SGT:
nodemap[nid] = BVSGT(B2BV(getnode(nids[1])), B2BV(getnode(nids[2])))
if ntype == SGTE:
nodemap[nid] = BVSGE(B2BV(getnode(nids[1])), B2BV(getnode(nids[2])))
if ntype == SLT:
nodemap[nid] = BVSLT(B2BV(getnode(nids[1])), B2BV(getnode(nids[2])))
if ntype == SLTE:
nodemap[nid] = BVSLE(B2BV(getnode(nids[1])), B2BV(getnode(nids[2])))
if ntype == EQ:
nodemap[nid] = BVComp(B2BV(getnode(nids[1])), B2BV(getnode(nids[2])))
if ntype == NEQ:
nodemap[nid] = BVNot(BVComp(getnode(nids[1]), getnode(nids[2])))
if ntype == MUL:
nodemap[nid] = BVMul(B2BV(getnode(nids[1])), B2BV(getnode(nids[2])))
if ntype == SLICE:
nodemap[nid] = BVExtract(B2BV(getnode(nids[1])), int(nids[3]), int(nids[2]))
if ntype == SLL:
nodemap[nid] = BVLShl(getnode(nids[1]), getnode(nids[2]))
if ntype == SRA:
nodemap[nid] = BVAShr(getnode(nids[1]), getnode(nids[2]))
if ntype == SRL:
nodemap[nid] = BVLShr(getnode(nids[1]), getnode(nids[2]))
if ntype == ITE:
if (get_type(getnode(nids[2])) == BOOL) or (get_type(getnode(nids[3])) == BOOL):
nodemap[nid] = Ite(BV2B(getnode(nids[1])), B2BV(getnode(nids[2])), B2BV(getnode(nids[3])))
else:
nodemap[nid] = Ite(BV2B(getnode(nids[1])), getnode(nids[2]), getnode(nids[3]))
if ntype == NEXT:
if (get_type(getnode(nids[1])) == BOOL) or (get_type(getnode(nids[2])) == BOOL):
lval = TS.get_prime(getnode(nids[1]))
rval = BV2B(getnode(nids[2]))
else:
lval = TS.get_prime(getnode(nids[1]))
rval = getnode(nids[2])
nodemap[nid] = EqualsOrIff(lval, rval)
ftrans.append(
(lval,
[(TRUE(), rval)])
)
if ntype == INIT:
if (get_type(getnode(nids[1])) == BOOL) or (get_type(getnode(nids[2])) == BOOL):
nodemap[nid] = EqualsOrIff(BV2B(getnode(nids[1])), BV2B(getnode(nids[2])))
else:
nodemap[nid] = EqualsOrIff(getnode(nids[1]), getnode(nids[2]))
initlist.append(getnode(nid))
if ntype == CONSTRAINT:
nodemap[nid] = BV2B(getnode(nids[0]))
invarlist.append(getnode(nid))
if ntype == BAD:
nodemap[nid] = getnode(nids[0])
if ASSERTINFO in line:
filename_lineno = os.path.basename(nids[3])
assert_name = 'embedded_assertion_%s'%filename_lineno
description = "Embedded assertion at line {1} in {0}".format(*filename_lineno.split(COLON_REP))
else:
assert_name = 'embedded_assertion_%i'%prop_count
description = 'Embedded assertion number %i'%prop_count
prop_count += 1
# Following problem format (name, description, strformula)
invar_props.append((assert_name, description, Not(BV2B(getnode(nid)))))
if nid not in nodemap:
Logger.error("Unknown node type \"%s\""%ntype)
# get wirename if it exists
if ntype not in {STATE, INPUT, OUTPUT, BAD}:
# check for wirename, if it's an integer, then it's a node ref
try:
a = int(nids[-1])
except:
try:
wire = Symbol(str(nids[-1]), getnode(nids[0]))
invarlist.append(EqualsOrIff(wire, B2BV(nodemap[nid])))
ts.add_var(wire)
except:
pass
if Logger.level(1):
name = lambda x: str(nodemap[x]) if nodemap[x].is_symbol() else x
uncovered = [name(x) for x in nodemap if x not in node_covered]
uncovered.sort()
if len(uncovered) > 0:
Logger.warning("Unlinked nodes \"%s\""%",".join(uncovered))
if not self.symbolic_init:
init = simplify(And(initlist))
else:
init = TRUE()
invar = simplify(And(invarlist))
# instead of trans, we're using the ftrans format -- see below
ts.set_behavior(init, TRUE(), invar)
# add ftrans
for var, cond_assign_list in ftrans:
ts.add_func_trans(var, cond_assign_list)
hts.add_ts(ts)
return (hts, invar_props, ltl_props)
def parse_string(self, strinput):
hts = HTS()
ts = TS()
nodemap = {}
node_covered = set([])
# list of tuples of var and cond_assign_list
# cond_assign_list is tuples of (condition, value)
# where everything is a pysmt FNode
# for btor, the condition is always True
ftrans = []
initlist = []
invarlist = []
invar_props = []
ltl_props = []
prop_count = 0
# clean string input, remove special characters from names
for sc, rep in special_char_replacements.items():
strinput = strinput.replace(sc, rep)
def getnode(nid):
node_covered.add(nid)
if int(nid) < 0:
return Ite(BV2B(nodemap[str(-int(nid))]), BV(0, 1), BV(1, 1))
return nodemap[nid]
def binary_op(bvop, bop, left, right):
if (get_type(left) == BOOL) and (get_type(right) == BOOL):
return bop(left, right)
return bvop(B2BV(left), B2BV(right))
def unary_op(bvop, bop, left):
if (get_type(left) == BOOL):
return bop(left)
return bvop(left)
for line in strinput.split(NL):
linetok = line.split()
if len(linetok) == 0:
continue
if linetok[0] == COM:
continue
(nid, ntype, *nids) = linetok
if ntype == SORT:
(stype, *attr) = nids
if stype == BITVEC:
nodemap[nid] = BVType(int(attr[0]))
node_covered.add(nid)
if stype == ARRAY:
nodemap[nid] = ArrayType(getnode(attr[0]),
getnode(attr[1]))
node_covered.add(nid)
if ntype == WRITE:
nodemap[nid] = Store(*[getnode(n) for n in nids[1:4]])
if ntype == READ:
nodemap[nid] = Select(getnode(nids[1]), getnode(nids[2]))
if ntype == ZERO:
nodemap[nid] = BV(0, getnode(nids[0]).width)
if ntype == ONE:
nodemap[nid] = BV(1, getnode(nids[0]).width)
if ntype == ONES:
width = getnode(nids[0]).width
nodemap[nid] = BV((2**width) - 1, width)
if ntype == REDOR:
width = get_type(getnode(nids[1])).width
zeros = BV(0, width)
nodemap[nid] = BVNot(BVComp(getnode(nids[1]), zeros))
if ntype == REDAND:
width = get_type(getnode(nids[1])).width
ones = BV((2**width) - 1, width)
nodemap[nid] = BVComp(getnode(nids[1]), ones)
if ntype == CONSTD:
width = getnode(nids[0]).width
nodemap[nid] = BV(int(nids[1]), width)
if ntype == CONST:
width = getnode(nids[0]).width
try:
nodemap[nid] = BV(bin_to_dec(nids[1]), width)
except ValueError:
if not all([i == 'x' or i == 'z' for i in nids[1]]):
raise RuntimeError(
"If not a valid number, only support "
"all don't cares or high-impedance but got {}".
format(nids[1]))
# create a fresh variable for this non-deterministic constant
nodemap[nid] = Symbol('const_' + nids[1], BVType(width))
ts.add_state_var(nodemap[nid])
Logger.warning(
"Creating a fresh symbol for unsupported X/Z constant %s"
% nids[1])
if ntype == STATE:
if len(nids) > 1:
nodemap[nid] = Symbol(nids[1], getnode(nids[0]))
else:
nodemap[nid] = Symbol((SN % nid), getnode(nids[0]))
ts.add_state_var(nodemap[nid])
if ntype == INPUT:
if len(nids) > 1:
nodemap[nid] = Symbol(nids[1], getnode(nids[0]))
else:
nodemap[nid] = Symbol((SN % nid), getnode(nids[0]))
ts.add_input_var(nodemap[nid])
if ntype == OUTPUT:
# unfortunately we need to create an extra symbol just to have the output name
# we could be smarter about this, but then this parser can't be greedy
original_symbol = B2BV(getnode(nids[0]))
output_symbol = Symbol(nids[1], original_symbol.get_type())
nodemap[nid] = EqualsOrIff(output_symbol, original_symbol)
invarlist.append(nodemap[nid])
node_covered.add(nid)
ts.add_output_var(output_symbol)
if ntype == AND:
nodemap[nid] = binary_op(BVAnd, And, getnode(nids[1]),
getnode(nids[2]))
if ntype == CONCAT:
nodemap[nid] = BVConcat(B2BV(getnode(nids[1])),
B2BV(getnode(nids[2])))
if ntype == XOR:
nodemap[nid] = binary_op(BVXor, Xor, getnode(nids[1]),
getnode(nids[2]))
if ntype == XNOR:
nodemap[nid] = BVNot(
binary_op(BVXor, Xor, getnode(nids[1]), getnode(nids[2])))
if ntype == NAND:
bvop = lambda x, y: BVNot(BVAnd(x, y))
bop = lambda x, y: Not(And(x, y))
nodemap[nid] = binary_op(bvop, bop, getnode(nids[1]),
getnode(nids[2]))
if ntype == IMPLIES:
nodemap[nid] = BVOr(BVNot(getnode(nids[1])), getnode(nids[2]))
if ntype == NOT:
nodemap[nid] = unary_op(BVNot, Not, getnode(nids[1]))
if ntype == NEG:
nodemap[nid] = unary_op(BVNeg, Not, getnode(nids[1]))
if ntype == UEXT:
nodemap[nid] = BVZExt(B2BV(getnode(nids[1])), int(nids[2]))
if ntype == SEXT:
nodemap[nid] = BVSExt(B2BV(getnode(nids[1])), int(nids[2]))
if ntype == OR:
nodemap[nid] = binary_op(BVOr, Or, getnode(nids[1]),
getnode(nids[2]))
if ntype == ADD:
nodemap[nid] = BVAdd(B2BV(getnode(nids[1])),
B2BV(getnode(nids[2])))
if ntype == SUB:
nodemap[nid] = BVSub(B2BV(getnode(nids[1])),
B2BV(getnode(nids[2])))
if ntype == UGT:
nodemap[nid] = BVUGT(B2BV(getnode(nids[1])),
B2BV(getnode(nids[2])))
if ntype == UGTE:
nodemap[nid] = BVUGE(B2BV(getnode(nids[1])),
B2BV(getnode(nids[2])))
if ntype == ULT:
nodemap[nid] = BVULT(B2BV(getnode(nids[1])),
B2BV(getnode(nids[2])))
if ntype == ULTE:
nodemap[nid] = BVULE(B2BV(getnode(nids[1])),
B2BV(getnode(nids[2])))
if ntype == SGT:
nodemap[nid] = BVSGT(B2BV(getnode(nids[1])),
B2BV(getnode(nids[2])))
if ntype == SGTE:
nodemap[nid] = BVSGE(B2BV(getnode(nids[1])),
B2BV(getnode(nids[2])))
if ntype == SLT:
nodemap[nid] = BVSLT(B2BV(getnode(nids[1])),
B2BV(getnode(nids[2])))
if ntype == SLTE:
nodemap[nid] = BVSLE(B2BV(getnode(nids[1])),
B2BV(getnode(nids[2])))
if ntype == EQ:
nodemap[nid] = BVComp(B2BV(getnode(nids[1])),
B2BV(getnode(nids[2])))
if ntype == NEQ:
nodemap[nid] = BVNot(BVComp(getnode(nids[1]),
getnode(nids[2])))
if ntype == MUL:
nodemap[nid] = BVMul(B2BV(getnode(nids[1])),
B2BV(getnode(nids[2])))
if ntype == SLICE:
nodemap[nid] = BVExtract(B2BV(getnode(nids[1])), int(nids[3]),
int(nids[2]))
if ntype == SLL:
nodemap[nid] = BVLShl(getnode(nids[1]), getnode(nids[2]))
if ntype == SRA:
nodemap[nid] = BVAShr(getnode(nids[1]), getnode(nids[2]))
if ntype == SRL:
nodemap[nid] = BVLShr(getnode(nids[1]), getnode(nids[2]))
if ntype == ITE:
if (get_type(getnode(nids[2])) == BOOL) or (get_type(
getnode(nids[3])) == BOOL):
nodemap[nid] = Ite(BV2B(getnode(nids[1])),
B2BV(getnode(nids[2])),
B2BV(getnode(nids[3])))
else:
nodemap[nid] = Ite(BV2B(getnode(nids[1])),
getnode(nids[2]), getnode(nids[3]))
if ntype == NEXT:
if (get_type(getnode(nids[1])) == BOOL) or (get_type(
getnode(nids[2])) == BOOL):
lval = TS.get_prime(getnode(nids[1]))
rval = B2BV(getnode(nids[2]))
else:
lval = TS.get_prime(getnode(nids[1]))
rval = getnode(nids[2])
nodemap[nid] = EqualsOrIff(lval, rval)
ftrans.append((lval, [(TRUE(), rval)]))
if ntype == INIT:
if (get_type(getnode(nids[1])) == BOOL) or (get_type(
getnode(nids[2])) == BOOL):
nodemap[nid] = EqualsOrIff(BV2B(getnode(nids[1])),
BV2B(getnode(nids[2])))
elif get_type(getnode(nids[1])).is_array_type():
_type = get_type(getnode(nids[1]))
nodemap[nid] = EqualsOrIff(
getnode(nids[1]),
Array(_type.index_type, default=getnode(nids[2])))
else:
nodemap[nid] = EqualsOrIff(getnode(nids[1]),
getnode(nids[2]))
initlist.append(getnode(nid))
if ntype == CONSTRAINT:
nodemap[nid] = BV2B(getnode(nids[0]))
invarlist.append(getnode(nid))
if ntype == BAD:
nodemap[nid] = getnode(nids[0])
if len(nids) > 1:
assert_name = nids[1]
description = "Embedded assertion: {}".format(assert_name)
else:
assert_name = 'embedded_assertion_%i' % prop_count
description = 'Embedded assertion number %i' % prop_count
prop_count += 1
# Following problem format (name, description, strformula)
invar_props.append(
(assert_name, description, Not(BV2B(getnode(nid)))))
if nid not in nodemap:
Logger.error("Unknown node type \"%s\"" % ntype)
# get wirename if it exists
if ntype not in {STATE, INPUT, OUTPUT, BAD}:
# disregard comments at the end of the line
try:
symbol_idx = nids.index(';')
symbol_idx -= 1 # the symbol should be before the comment
except:
# the symbol is just the end
symbol_idx = -1
# check for wirename, if it's an integer, then it's a node ref
try:
a = int(nids[symbol_idx])
except:
try:
name = str(nids[symbol_idx])
# use the exact name, unless it has already been used
wire = Symbol(name, getnode(nids[0]))
if wire in ts.vars:
wire = FreshSymbol(getnode(nids[0]),
template=name + "%d")
invarlist.append(EqualsOrIff(wire, B2BV(nodemap[nid])))
ts.add_var(wire)
except:
pass
if Logger.level(1):
name = lambda x: str(nodemap[x]) if nodemap[x].is_symbol() else x
uncovered = [name(x) for x in nodemap if x not in node_covered]
uncovered.sort()
if len(uncovered) > 0:
Logger.warning("Unlinked nodes \"%s\"" % ",".join(uncovered))
if not self.symbolic_init:
init = simplify(And(initlist))
else:
init = TRUE()
invar = simplify(And(invarlist))
# instead of trans, we're using the ftrans format -- see below
ts.set_behavior(init, TRUE(), invar)
# add ftrans
for var, cond_assign_list in ftrans:
ts.add_func_trans(var, cond_assign_list)
hts.add_ts(ts)
return (hts, invar_props, ltl_props)
def compile_sts(self, name, params):
sparser = StringParser()
in_port, max_val, c_push, c_pop = list(params)
max_val = int(max_val)
if type(c_push) == str:
c_push = sparser.parse_formula(c_push)
if type(c_pop) == str:
c_pop = sparser.parse_formula(c_pop)
tracking = Symbol("%s.tracking" % name, BOOL)
end = Symbol("%s.end" % name, BOOL)
done = Symbol("%s.done" % name, BOOL)
packet = Symbol("%s.packet" % name,
BVType(in_port.symbol_type().width))
max_width = math.ceil(math.log(max_val) / math.log(2))
max_bvval = BV(max_val, max_width)
zero = BV(0, max_width)
one = BV(1, max_width)
count = Symbol("%s.count" % name, BVType(max_width))
size = Symbol("%s.size" % name, BVType(max_width))
pos_c_push = BV2B(c_push)
neg_c_push = Not(BV2B(c_push))
pos_c_pop = BV2B(c_pop)
neg_c_pop = Not(BV2B(c_pop))
init = []
trans = []
invar = []
# INIT DEFINITION #
# count = 0
init.append(EqualsOrIff(count, BV(0, max_width)))
# tracking = False
init.append(EqualsOrIff(tracking, FALSE()))
# size = 0
init.append(EqualsOrIff(size, BV(0, max_width)))
# end = false
init.append(EqualsOrIff(end, FALSE()))
# INVAR DEFINITION #
# !done -> (end = (tracking & (size = count)))
invar.append(
Implies(Not(done),
EqualsOrIff(end, And(tracking, EqualsOrIff(size, count)))))
# count <= size
invar.append(BVULE(count, size))
# count <= maxval
invar.append(BVULE(count, max_bvval))
# size <= maxval
invar.append(BVULE(size, max_bvval))
# done -> (end <-> False);
invar.append(Implies(done, EqualsOrIff(end, FALSE())))
# done -> (count = 0_8);
invar.append(Implies(done, EqualsOrIff(count, BV(0, max_width))))
# done -> (size = 0_8);
invar.append(Implies(done, EqualsOrIff(size, BV(0, max_width))))
# done -> (packet = 0_8);
invar.append(
Implies(done,
EqualsOrIff(packet, BV(0,
in_port.symbol_type().width))))
# TRANS DEFINITION #
# (!end & !done) -> next(!done);
trans.append(Implies(And(Not(end), Not(done)), TS.to_next(Not(done))))
# end -> next(done);
trans.append(Implies(end, TS.to_next(done)))
# done -> next(done);
trans.append(Implies(done, TS.to_next(done)))
# tracking -> next(tracking);
trans.append(
Implies(Not(done), Implies(tracking, TS.to_next(tracking))))
# tracking -> (next(packet) = packet);
trans.append(
Implies(Not(done),
Implies(tracking, EqualsOrIff(TS.to_next(packet),
packet))))
# !tracking & next(tracking) -> c_push;
trans.append(
Implies(
Not(done),
Implies(And(Not(tracking), TS.to_next(tracking)), pos_c_push)))
# (c_push & next(tracking)) -> ((packet = in) & (next(packet) = in);
trans.append(
Implies(
Not(done),
Implies(
And(pos_c_push, TS.to_next(tracking)),
And(EqualsOrIff(packet, in_port),
EqualsOrIff(TS.to_next(packet), in_port)))))
# (c_push & !c_pop & tracking) -> (next(count) = (count + 1_8));
trans.append(
Implies(
Not(done),
Implies(
And(pos_c_push, neg_c_pop, tracking),
EqualsOrIff(TS.to_next(count),
BVAdd(count, BV(1, max_width))))))
# (c_push & size < maxval) -> (next(size) = (size + 1_8));
trans.append(
Implies(
Not(done),
Implies(
And(pos_c_push, BVULT(size, max_bvval)),
EqualsOrIff(TS.to_next(size),
BVAdd(size, BV(1, max_width))))))
# (c_pop & size > 0) -> (next(size) = (size - 1_8));
trans.append(
Implies(
Not(done),
Implies(
And(pos_c_pop, BVUGT(size, zero)),
EqualsOrIff(TS.to_next(size),
BVSub(size, BV(1, max_width))))))
# (!(c_push | c_pop)) -> (next(count) = count);
trans.append(
Implies(
Not(done),
Implies(Not(Or(pos_c_push, pos_c_pop)),
EqualsOrIff(count, TS.to_next(count)))))
# ((c_push | c_pop) & !tracking) -> (next(count) = count);
trans.append(
Implies(
Not(done),
Implies(And(Or(pos_c_push, pos_c_pop), Not(tracking)),
EqualsOrIff(count, TS.to_next(count)))))
# (c_push & size = maxval) -> (next(size) = size);
trans.append(
Implies(
Not(done),
Implies(And(pos_c_push, EqualsOrIff(size, max_bvval)),
EqualsOrIff(TS.to_next(size), size))))
# (!(c_push | c_pop)) -> (next(size) = size);
trans.append(
Implies(
Not(done),
Implies(Not(Or(pos_c_push, pos_c_pop)),
EqualsOrIff(size, TS.to_next(size)))))
# (!(c_push | c_pop)) -> (next(count) = count);
trans.append(
Implies(
Not(done),
Implies(Not(Or(pos_c_push, pos_c_pop)),
EqualsOrIff(count, TS.to_next(count)))))
# (c_pop & size = 0) -> (next(size) = 0);
trans.append(
Implies(
Not(done),
Implies(And(pos_c_pop, EqualsOrIff(size, zero)),
EqualsOrIff(TS.to_next(size), zero))))
# (!c_push) -> (next(count) = count);
trans.append(
Implies(Not(done),
Implies(neg_c_push, EqualsOrIff(TS.to_next(count),
count))))
init = And(init)
invar = And(invar)
trans = And(trans)
ts = TS()
ts.vars, ts.init, ts.invar, ts.trans = set(
[tracking, end, packet, count, size]), init, invar, trans
return ts
def parse_string(self, strinput):
hts = HTS()
ts = TS()
nodemap = {}
node_covered = set([])
translist = []
initlist = []
invarlist = []
invar_props = []
ltl_props = []
def getnode(nid):
node_covered.add(nid)
if int(nid) < 0:
return Ite(BV2B(nodemap[str(-int(nid))]), BV(0,1), BV(1,1))
return nodemap[nid]
def binary_op(bvop, bop, left, right):
if (get_type(left) == BOOL) and (get_type(right) == BOOL):
return bop(left, right)
return bvop(B2BV(left), B2BV(right))
def unary_op(bvop, bop, left):
if (get_type(left) == BOOL):
return bop(left)
return bvop(left)
for line in strinput.split(NL):
linetok = line.split()
if len(linetok) == 0:
continue
if linetok[0] == COM:
continue
(nid, ntype, *nids) = linetok
if ntype == SORT:
(stype, *attr) = nids
if stype == BITVEC:
nodemap[nid] = BVType(int(attr[0]))
node_covered.add(nid)
if stype == ARRAY:
nodemap[nid] = ArrayType(getnode(attr[0]), getnode(attr[1]))
node_covered.add(nid)
if ntype == WRITE:
nodemap[nid] = Store(*[getnode(n) for n in nids[1:4]])
if ntype == READ:
nodemap[nid] = Select(getnode(nids[1]), getnode(nids[2]))
if ntype == ZERO:
nodemap[nid] = BV(0, getnode(nids[0]).width)
if ntype == ONE:
nodemap[nid] = BV(1, getnode(nids[0]).width)
if ntype == ONES:
width = getnode(nids[0]).width
nodemap[nid] = BV((2**width)-1, width)
if ntype == REDOR:
width = get_type(getnode(nids[1])).width
zeros = BV(0, width)
nodemap[nid] = BVNot(BVComp(getnode(nids[1]), zeros))
if ntype == REDAND:
width = get_type(getnode(nids[1])).width
ones = BV((2**width)-1, width)
nodemap[nid] = BVComp(getnode(nids[1]), ones)
if ntype == CONSTD:
width = getnode(nids[0]).width
nodemap[nid] = BV(int(nids[1]), width)
if ntype == CONST:
width = getnode(nids[0]).width
nodemap[nid] = BV(bin_to_dec(nids[1]), width)
if ntype == STATE:
if len(nids) > 1:
nodemap[nid] = Symbol(nids[1], getnode(nids[0]))
else:
nodemap[nid] = Symbol((SN%nid), getnode(nids[0]))
ts.add_state_var(nodemap[nid])
if ntype == INPUT:
if len(nids) > 1:
nodemap[nid] = Symbol(nids[1], getnode(nids[0]))
else:
nodemap[nid] = Symbol((SN%nid), getnode(nids[0]))
ts.add_input_var(nodemap[nid])
if ntype == OUTPUT:
if len(nids) > 2:
symbol = Symbol(nids[2], getnode(nids[0]))
else:
symbol = Symbol((SN%nid), getnode(nids[0]))
nodemap[nid] = EqualsOrIff(symbol, B2BV(getnode(nids[1])))
invarlist.append(nodemap[nid])
node_covered.add(nid)
ts.add_output_var(symbol)
if ntype == AND:
nodemap[nid] = binary_op(BVAnd, And, getnode(nids[1]), getnode(nids[2]))
if ntype == CONCAT:
nodemap[nid] = BVConcat(B2BV(getnode(nids[1])), B2BV(getnode(nids[2])))
if ntype == XOR:
nodemap[nid] = binary_op(BVXor, Xor, getnode(nids[1]), getnode(nids[2]))
if ntype == NAND:
bvop = lambda x,y: BVNot(BVAnd(x, y))
bop = lambda x,y: Not(And(x, y))
nodemap[nid] = binary_op(bvop, bop, getnode(nids[1]), getnode(nids[2]))
if ntype == IMPLIES:
nodemap[nid] = BVOr(BVNot(getnode(nids[1])), getnode(nids[2]))
if ntype == NOT:
nodemap[nid] = unary_op(BVNot, Not, getnode(nids[1]))
if ntype == UEXT:
nodemap[nid] = BVZExt(B2BV(getnode(nids[1])), int(nids[2]))
if ntype == OR:
nodemap[nid] = binary_op(BVOr, Or, getnode(nids[1]), getnode(nids[2]))
if ntype == ADD:
nodemap[nid] = BVAdd(B2BV(getnode(nids[1])), B2BV(getnode(nids[2])))
if ntype == SUB:
nodemap[nid] = BVSub(B2BV(getnode(nids[1])), B2BV(getnode(nids[2])))
if ntype == UGT:
nodemap[nid] = BVUGT(B2BV(getnode(nids[1])), B2BV(getnode(nids[2])))
if ntype == UGTE:
nodemap[nid] = BVUGE(B2BV(getnode(nids[1])), B2BV(getnode(nids[2])))
if ntype == ULT:
nodemap[nid] = BVULT(B2BV(getnode(nids[1])), B2BV(getnode(nids[2])))
if ntype == ULTE:
nodemap[nid] = BVULE(B2BV(getnode(nids[1])), B2BV(getnode(nids[2])))
if ntype == EQ:
nodemap[nid] = BVComp(getnode(nids[1]), getnode(nids[2]))
if ntype == NE:
nodemap[nid] = BVNot(BVComp(getnode(nids[1]), getnode(nids[2])))
if ntype == MUL:
nodemap[nid] = BVMul(B2BV(getnode(nids[1])), B2BV(getnode(nids[2])))
if ntype == SLICE:
nodemap[nid] = BVExtract(B2BV(getnode(nids[1])), int(nids[3]), int(nids[2]))
if ntype == SLL:
nodemap[nid] = BVLShl(getnode(nids[1]), getnode(nids[2]))
if ntype == SRA:
nodemap[nid] = BVAShr(getnode(nids[1]), getnode(nids[2]))
if ntype == SRL:
nodemap[nid] = BVLShr(getnode(nids[1]), getnode(nids[2]))
if ntype == ITE:
if (get_type(getnode(nids[2])) == BOOL) or (get_type(getnode(nids[3])) == BOOL):
nodemap[nid] = Ite(BV2B(getnode(nids[1])), BV2B(getnode(nids[2])), BV2B(getnode(nids[3])))
else:
nodemap[nid] = Ite(BV2B(getnode(nids[1])), getnode(nids[2]), getnode(nids[3]))
if ntype == NEXT:
if (get_type(getnode(nids[1])) == BOOL) or (get_type(getnode(nids[2])) == BOOL):
nodemap[nid] = EqualsOrIff(BV2B(TS.get_prime(getnode(nids[1]))), BV2B(getnode(nids[2])))
else:
nodemap[nid] = EqualsOrIff(TS.get_prime(getnode(nids[1])), getnode(nids[2]))
translist.append(getnode(nid))
if ntype == INIT:
if (get_type(getnode(nids[1])) == BOOL) or (get_type(getnode(nids[2])) == BOOL):
nodemap[nid] = EqualsOrIff(BV2B(getnode(nids[1])), BV2B(getnode(nids[2])))
else:
nodemap[nid] = EqualsOrIff(getnode(nids[1]), getnode(nids[2]))
initlist.append(getnode(nid))
if ntype == CONSTRAINT:
nodemap[nid] = BV2B(getnode(nids[0]))
invarlist.append(getnode(nid))
if ntype == BAD:
nodemap[nid] = getnode(nids[0])
invar_props.append(Not(BV2B(getnode(nid))))
if nid not in nodemap:
Logger.error("Unknown node type \"%s\""%ntype)
if Logger.level(1):
name = lambda x: str(nodemap[x]) if nodemap[x].is_symbol() else x
uncovered = [name(x) for x in nodemap if x not in node_covered]
uncovered.sort()
if len(uncovered) > 0:
Logger.warning("Unlinked nodes \"%s\""%",".join(uncovered))
if not self.symbolic_init:
init = simplify(And(initlist))
else:
init = TRUE()
trans = simplify(And(translist))
invar = simplify(And(invarlist))
ts.set_behavior(init, trans, invar)
hts.add_ts(ts)
return (hts, invar_props, ltl_props)
def Negedge(self, x):
if get_type(x).is_bool_type():
return And(x, Not(TS.to_next(x)))
return And(BV2B(x), EqualsOrIff(TS.to_next(x), BV(0, 1)))
def Posedge(self, x):
if get_type(x).is_bool_type():
return And(Not(x), TS.to_next(x))
return And(EqualsOrIff(x, BV(0, 1)), BV2B(TS.to_next(x)))