def isOff(self, index):
'''
Returns a Boolean Constraint stating whether or not the instance at the given index is *off*.
An instance is off if it is set to self.parentInstances.
'''
try:
return SMTLib.SMT_EQ(self.instances[index],
SMTLib.SMT_IntConst(self.parentInstances))
except:
return SMTLib.SMT_EQ(index,
SMTLib.SMT_IntConst(self.parentInstances))
def joinWithParent(arg):
instances = arg.getInstances(nonsupered=True)
newInstances = {}
for (sort, index) in instances.keys():
(expr, pol) = instances[(sort, index)]
if pol == Common.DEFINITELY_OFF:
continue
(lower, upper, _) = sort.instanceRanges[index]
for i in range(lower, min(sort.parentInstances, upper + 1)):
(old_expr, old_pol) = newInstances.get(
(sort.parent, i),
(SMTLib.SMT_BoolConst(False), Common.DEFINITELY_OFF))
if pol == Common.DEFINITELY_ON and lower == upper:
new_pol = Common.DEFINITELY_ON
new_expr = SMTLib.SMT_BoolConst(True)
else:
new_pol = Common.aggregate_polarity(old_pol, Common.UNKNOWN)
new_expr = mOr(
old_expr,
mAnd(
expr,
SMTLib.SMT_EQ(sort.instances[index],
SMTLib.SMT_IntConst(i))))
newInstances[(sort.parent, i)] = (new_expr, new_pol)
return ExprArg(newInstances, nonsupered=True)
def joinWithClafer(left, right):
newInstances = {}
leftInstances = left.getInstances(nonsupered=True)
rightInstances = right.getInstances(nonsupered=True)
for (lsort, lindex) in leftInstances.keys():
(lexpr, lpolarity) = leftInstances[(lsort, lindex)]
if lpolarity == Common.DEFINITELY_OFF:
continue
for (rsort, rindex) in rightInstances.keys():
(_rexpr, rpolarity) = rightInstances[(rsort, rindex)]
if rpolarity == Common.DEFINITELY_OFF:
continue
noMatch = False
while not (rsort in lsort.fields):
if not lsort.superSort:
noMatch = True
break
(lsort, lindex) = joinWithSuper(lsort, lindex)
if noMatch:
continue
(lower, upper, _) = rsort.instanceRanges[rindex]
(new_rexpr, new_rpol) = newInstances.get((rsort, rindex), ({}, {}))
new_rpol[lindex] = lpolarity
new_rexpr[lindex] = mAnd(
lexpr,
SMTLib.SMT_EQ(rsort.instances[rindex],
SMTLib.SMT_IntConst(lindex)))
if lower <= lindex and lindex <= upper:
newInstances[(rsort, rindex)] = (new_rexpr, new_rpol)
newInstances = flattenInstances(newInstances)
return ExprArg(newInstances, nonsupered=True)
def int_set_in(leftIntSort, rightIntSort):
(left_sort, left_mask) = leftIntSort
(right_sort, right_mask) = rightIntSort
cond = []
for i in left_mask.keys():
constraint = SMTLib.SMT_Or(
SMTLib.SMT_EQ(left_sort.cardinalityMask.get(i),
SMTLib.SMT_IntConst(0)),
SMTLib.SMT_Or(*[
SMTLib.SMT_And(
SMTLib.SMT_EQ(right_sort.cardinalityMask.get(j),
SMTLib.SMT_IntConst(1)),
SMTLib.SMT_EQ(right_mask.get(j), left_mask.get(i)))
for j in right_mask.keys()
]))
cond.append(constraint)
return (SMTLib.SMT_And(*cond))
def ConstraintEqualToX(self, model):
"""
Returns a Constraint that a new instance, can't be dominated by the instance represented by model.
(it can't be worst in any objective).
"""
EqualMetrics = list()
for i in range(len(self.metrics_variables)):
EqualMetrics.append(
SMTLib.SMT_EQ(
self.metrics_variables[i],
Common.evalForNum(model, self.metrics_variables[i])))
return SMTLib.SMT_And(EqualMetrics)
def quant_one(exprs, ifConstraints):
'''
There's probably a better way to do this.
'''
condList = getQuantifierConditionList(exprs)
if ifConstraints:
condList = [mAnd(i, j) for i, j in zip(ifConstraints, condList)]
exprList = []
for i in range(len(condList)):
exprList.append(
SMTLib.SMT_If(condList[i], SMTLib.SMT_IntConst(1),
SMTLib.SMT_IntConst(0)))
return SMTLib.SMT_EQ(SMTLib.createSum(*exprList), SMTLib.SMT_IntConst(1))
def createInstancesConstraintsAndFunctions(self):
for i in range(self.numInstances):
(lower, upper, extraAbsenceConstraint) = self.instanceRanges[i]
#lower == upper case (simpler)
if lower == upper:
constraint = SMTLib.SMT_EQ(self.instances[i],
SMTLib.SMT_IntConst(upper))
if extraAbsenceConstraint:
self.constraints.addInstanceConstraint(
SMTLib.SMT_Or(self.isOff(i), constraint))
else:
#TODO self.instances[i] = SMTLib.SMT_IntConst(lower)
self.constraints.addInstanceConstraint(constraint)
else:
#parent pointer is >= lower
self.constraints.addInstanceConstraint(
SMTLib.SMT_GE(self.instances[i],
SMTLib.SMT_IntConst(lower)))
constraint = SMTLib.SMT_LE(self.instances[i],
SMTLib.SMT_IntConst(upper))
if extraAbsenceConstraint:
#parent pointer is <= upper , or equal to parentInstances
self.constraints.addInstanceConstraint(
SMTLib.SMT_Or(self.isOff(i), constraint))
else:
#parent pointer is <= upper
self.constraints.addInstanceConstraint(constraint)
#sorted parent pointers (only consider things that are not part of an abstract)
if not self.beneathAnAbstract:
if i != self.numInstances - 1:
self.constraints.addInstanceConstraint(
SMTLib.SMT_LE(self.instances[i],
self.instances[i + 1]))
if not self.parent:
return
#if the parent is not live, then no child can point to it
for i in range(self.parent.numInstances):
for j in range(self.numInstances):
self.constraints.addInstanceConstraint(
SMTLib.SMT_Implies(
self.parent.isOff(i),
SMTLib.SMT_NE(self.instances[j],
SMTLib.SMT_IntConst(i))),
self.parent.known_polarity(i, local=True) !=
Common.DEFINITELY_ON)
def createCardinalityConstraints(self):
if not self.cfr.isUsed(self.element):
return
self.summs = [[] for i in range(self.parentInstances + 1)]
for i in range(self.numInstances):
(lower, upper, _) = self.getInstanceRange(i)
for j in range(lower, upper + 1):
self.summs[j].append(
SMTLib.SMT_If(
SMTLib.SMT_EQ(self.instances[i],
SMTLib.SMT_IntConst(j)),
SMTLib.SMT_IntConst(1), SMTLib.SMT_IntConst(0)))
for i in range(len(self.summs)):
if self.summs[i]:
self.summs[i] = SMTLib.createSum(*[self.summs[i]])
else:
self.summs[i] = SMTLib.SMT_IntConst(0)
for i in range(self.parentInstances):
if self.parent:
self.constraints.addCardConstraint(
SMTLib.SMT_Implies(
self.parent.isOn(i),
SMTLib.SMT_GE(
self.summs[i],
SMTLib.SMT_IntConst(self.lowerCardConstraint))))
if self.upperCardConstraint != -1:
self.constraints.addCardConstraint(
SMTLib.SMT_Implies(
self.parent.isOn(i),
SMTLib.SMT_LE(
self.summs[i],
SMTLib.SMT_IntConst(
self.upperCardConstraint))))
else:
self.constraints.addCardConstraint(
SMTLib.SMT_GE(
self.summs[i],
SMTLib.SMT_IntConst(self.lowerCardConstraint)))
if self.upperCardConstraint != -1:
self.constraints.addCardConstraint(
SMTLib.SMT_LE(
self.summs[i],
SMTLib.SMT_IntConst(self.upperCardConstraint)))
def joinWithClaferRef(arg):
instances = arg.getInstances(nonsupered=True)
newArg = ExprArg(nonsupered=True)
for (sort, index) in instances.keys():
(expr, pol) = instances[(sort, index)]
while not sort.refSort:
(sort, index) = joinWithSuper(sort, index)
if isinstance(sort.refSort, PrimitiveType):
joinWithPrimitive(newArg, sort, index, expr, pol)
else:
for i in range(sort.refSort.numInstances):
(prev_expr, _) = newArg.getInstances(nonsupered=True).get(
(sort.refSort, i),
(SMTLib.SMT_BoolConst(False), Common.DEFINITELY_OFF))
newArg.getInstances(nonsupered=True)[(sort.refSort, i)] = (mOr(
prev_expr,
mAnd(
expr,
SMTLib.SMT_EQ(
sort.refs[index],
SMTLib.SMT_IntConst(i)))), Common.UNKNOWN)
return newArg
def addRefConstraints(self):
if not self.refSort:
return
elif isinstance(self.refSort,
PrimitiveType) and self.refSort.type == "real":
self.refs = SMTLib.SMT_RealVector(self.element.uid + "_ref",
self.numInstances)
elif isinstance(self.refSort, PrimitiveType):
self.refs = SMTLib.SMT_IntVector(self.element.uid + "_ref",
self.numInstances)
else:
self.refs = SMTLib.SMT_IntVector(
self.element.uid + "_ref",
self.numInstances,
bits=self.getBits(self.refSort.parentInstances + 1))
if not isinstance(self.refSort, PrimitiveType):
for i in range(self.numInstances):
#refs pointer is >= 0
self.constraints.addRefConstraint(
SMTLib.SMT_GE(self.refs[i], SMTLib.SMT_IntConst(0)))
#ref pointer is <= upper card of ref parent
self.constraints.addRefConstraint(
SMTLib.SMT_LE(
self.refs[i],
SMTLib.SMT_IntConst(self.refSort.numInstances)))
#if integer refs, zero out refs that do not have live parents,
#if clafer refs, set equal to ref.parentInstances if not live
#reference symmetry breaking
if not self.element.isAbstract:
for i in range(self.numInstances - 1):
for j in range(i + 1, self.numInstances):
if isinstance(self.refSort, PrimitiveType):
self.constraints.addRefConstraint(
SMTLib.SMT_Implies(
SMTLib.SMT_EQ(self.instances[i],
self.instances[j]),
SMTLib.SMT_LE(self.refs[i], self.refs[j])))
else:
self.constraints.addRefConstraint(
SMTLib.SMT_Implies(
mAnd(
SMTLib.SMT_NE(
self.refs[i],
SMTLib.SMT_IntConst(
self.refSort.numInstances)),
SMTLib.SMT_EQ(self.instances[i],
self.instances[j])),
SMTLib.SMT_LE(self.refs[i], self.refs[j])))
for i in range(self.numInstances):
if isinstance(self.refSort, PrimitiveType):
if self.refSort == "integer":
self.constraints.addRefConstraint(
SMTLib.SMT_Implies(
self.isOff(i),
SMTLib.SMT_EQ(self.refs[i],
SMTLib.SMT_IntConst(0))),
self.known_polarity(i, local=True) !=
Common.DEFINITELY_ON)
elif self.refSort == "string":
if Options.STRING_CONSTRAINTS:
self.constraints.addRefConstraint(
SMTLib.SMT_Implies(
self.isOff(i),
SMTLib.SMT_EQ(self.refs[i],
self.cfr.EMPTYSTRING)),
self.known_polarity(i, local=True) !=
Common.DEFINITELY_ON)
else:
self.constraints.addRefConstraint(
SMTLib.SMT_Implies(
self.isOff(i),
SMTLib.SMT_EQ(self.refs[i],
SMTLib.SMT_IntConst(0))),
self.known_polarity(i, local=True) !=
Common.DEFINITELY_ON)
else:
self.constraints.addRefConstraint(
SMTLib.SMT_Implies(
self.isOff(i),
SMTLib.SMT_EQ(self.refs[i],
SMTLib.SMT_IntConst(0))),
self.known_polarity(i, local=True) !=
Common.DEFINITELY_ON)
else:
if self.known_polarity(i, local=True) != Common.DEFINITELY_ON:
self.constraints.addRefConstraint(
SMTLib.SMT_If(
self.isOff(i),
SMTLib.SMT_EQ(
self.refs[i],
SMTLib.SMT_IntConst(
self.refSort.numInstances)),
SMTLib.SMT_NE(
self.refs[i],
SMTLib.SMT_IntConst(
self.refSort.numInstances))))
else:
self.constraints.addRefConstraint(
SMTLib.SMT_NE(
self.refs[i],
SMTLib.SMT_IntConst(self.refSort.numInstances)))
#if refsort.full does not exist, create it
if not self.refSort.full:
self.refSort.full = lambda x: mOr(*[
SMTLib.SMT_And(
SMTLib.SMT_EQ(x, SMTLib.SMT_IntConst(i)),
self.refSort.isOn(i))
for i in range(self.refSort.numInstances)
])
#the clafer that the reference points to must be "on"
self.constraints.addRefConstraint(
SMTLib.SMT_Implies(
SMTLib.SMT_NE(
self.refs[i],
SMTLib.SMT_IntConst(self.refSort.numInstances)),
self.refSort.full(self.refs[i])))
def op_eq(left, right, cacheJoins=False, bc=None):
'''
:param left:
:type left: :class:`~ExprArg`
:param right:
:type right: :class:`~ExprArg`
:returns: :class:`~BoolArg`
Ensures that the left = right.
'''
assert isinstance(left, ExprArg)
assert isinstance(right, ExprArg)
if cacheJoins and bc:
#TODO CLEAN
left_key = None
right_key = None
keys = []
#asil allocation speedup, if both sides are sets, we can perform expression substitution in other constraints
#bc is the bracketed constraint to put the cache
for i in [left, right]:
if isinstance(i, JoinArg):
newkeys = Common.computeCacheKeys(i.flattenJoin())
#print(tuple(key))
keys = keys + newkeys
#need to return all keys during the progress of join, add flag?
#get the all keys
all_keys = i.checkIfJoinIsComputed(nonsupered=True,
getAllKeys=True)
#print(keys)
#print(all_keys)
keys = keys + all_keys
#sys.exit()
#print()
#print("GGGG right" + str(right.__class__))
#print(right.clafers)
if len(left.clafers) != len(right.clafers):
minJoinVal = left.clafers if len(left.clafers) < len(
right.clafers) else right.clafers
for i in keys:
#TODO make more robust (e.g. if multiple equalities exist for the same join key, aggregate expressions
bc.cache[i] = ExprArg(minJoinVal)
#print(i)
#print(minJoinVal)
#print(str(len(minJoinVal)) + " " + str(len(left.clafers)) + " " + str(len(right.clafers)))
#print(str(len(left.clafers)) + " " + str(len(right.clafers)))
cond = []
#int equality case
lints = [(e, c) for (e, c) in left.getInts() if str(c) != "False"]
rints = [(e, c) for (e, c) in right.getInts() if str(c) != "False"]
if lints or rints:
for (e, c) in lints:
#exists r in R s.t. e == r
expr = mOr(*[mAnd(rc, SMTLib.SMT_EQ(e, r)) for (r, rc) in rints])
if str(c) != "True":
expr = SMTLib.SMT_Implies(c, expr)
cond.append(expr)
for (e, c) in rints:
#exists l in L s.t. e == l
expr = mOr(*[mAnd(lc, SMTLib.SMT_EQ(e, l)) for (l, lc) in lints])
if str(c) != "True":
expr = SMTLib.SMT_Implies(c, expr)
cond.append(expr)
#clafer-set equality case
matches = getSetInstancePairs(left, right)
for ((lexpr, lpol), (rexpr, rpol)) in matches.values():
if lpol == Common.DEFINITELY_OFF and rpol == Common.DEFINITELY_OFF:
continue
elif lpol == Common.DEFINITELY_OFF:
cond.append(SMTLib.createNot(rexpr))
elif rpol == Common.DEFINITELY_OFF:
cond.append(SMTLib.createNot(lexpr))
else:
cond.append(SMTLib.SMT_Implies(lexpr, rexpr))
cond.append(SMTLib.SMT_Implies(rexpr, lexpr))
return BoolArg(mAnd(*cond))
