#include "sattranslator.h"
#include "tunable.h"
#include "polarityassignment.h"
-#include "transformer.h"
+#include "decomposeordertransform.h"
#include "autotuner.h"
#include "astops.h"
#include "structs.h"
+#include "orderresolver.h"
+#include "integerencoding.h"
+#include "qsort.h"
+#include "preprocess.h"
+#include "serializer.h"
+#include "deserializer.h"
+#include "encodinggraph.h"
+#include "ordergraph.h"
+#include "orderedge.h"
+#include "orderanalysis.h"
+#include "elementopt.h"
+#include <time.h>
+#include <stdarg.h>
CSolver::CSolver() :
- boolTrue(new BooleanConst(true)),
- boolFalse(new BooleanConst(false)),
+ boolTrue(BooleanEdge(new BooleanConst(true))),
+ boolFalse(boolTrue.negate()),
unsat(false),
tuner(NULL),
- elapsedTime(0)
+ elapsedTime(0),
+ satsolverTimeout(NOTIMEOUT)
{
satEncoder = new SATEncoder(this);
- transformer = new Transformer(this);
}
/** This function tears down the solver and the entire AST */
CSolver::~CSolver() {
+ //serialize();
uint size = allBooleans.getSize();
for (uint i = 0; i < size; i++) {
delete allBooleans.get(i);
size = allElements.getSize();
for (uint i = 0; i < size; i++) {
- delete allElements.get(i);
+ Element *el = allElements.get(i);
+ delete el;
}
size = allTables.getSize();
for (uint i = 0; i < size; i++) {
delete allOrders.get(i);
}
-
size = allFunctions.getSize();
for (uint i = 0; i < size; i++) {
delete allFunctions.get(i);
}
- delete boolTrue;
- delete boolFalse;
+ delete boolTrue.getBoolean();
delete satEncoder;
- delete transformer;
+}
+
+void CSolver::resetSolver() {
+ //serialize();
+ uint size = allBooleans.getSize();
+ for (uint i = 0; i < size; i++) {
+ delete allBooleans.get(i);
+ }
+
+ size = allSets.getSize();
+ for (uint i = 0; i < size; i++) {
+ delete allSets.get(i);
+ }
+
+ size = allElements.getSize();
+ for (uint i = 0; i < size; i++) {
+ Element *el = allElements.get(i);
+ delete el;
+ }
+
+ size = allTables.getSize();
+ for (uint i = 0; i < size; i++) {
+ delete allTables.get(i);
+ }
+
+ size = allPredicates.getSize();
+ for (uint i = 0; i < size; i++) {
+ delete allPredicates.get(i);
+ }
+
+ size = allOrders.getSize();
+ for (uint i = 0; i < size; i++) {
+ delete allOrders.get(i);
+ }
+ size = allFunctions.getSize();
+ for (uint i = 0; i < size; i++) {
+ delete allFunctions.get(i);
+ }
+ delete boolTrue.getBoolean();
+ allBooleans.clear();
+ allSets.clear();
+ allElements.clear();
+ allTables.clear();
+ allPredicates.clear();
+ allOrders.clear();
+ allFunctions.clear();
+ constraints.reset();
+ activeOrders.reset();
+ boolMap.reset();
+ elemMap.reset();
+
+ boolTrue = BooleanEdge(new BooleanConst(true));
+ boolFalse = boolTrue.negate();
+ unsat = false;
+ elapsedTime = 0;
+ tuner = NULL;
+ satEncoder->resetSATEncoder();
+
}
CSolver *CSolver::clone() {
CSolver *copy = new CSolver();
CloneMap map;
- SetIteratorBoolean *it = getConstraints();
+ SetIteratorBooleanEdge *it = getConstraints();
while (it->hasNext()) {
- Boolean *b = it->next();
- copy->addConstraint(b->clone(copy, &map));
+ BooleanEdge b = it->next();
+ copy->addConstraint(cloneEdge(copy, &map, b));
}
delete it;
return copy;
}
+CSolver *CSolver::deserialize(const char *file) {
+ model_print("deserializing %s ...\n", file);
+ Deserializer deserializer(file);
+ return deserializer.deserialize();
+}
+
+void CSolver::serialize() {
+ model_print("serializing ...\n");
+ char buffer[255];
+ long long nanotime = getTimeNano();
+ int numchars = sprintf(buffer, "DUMP%llu", nanotime);
+ Serializer serializer(buffer);
+ SetIteratorBooleanEdge *it = getConstraints();
+ while (it->hasNext()) {
+ BooleanEdge b = it->next();
+ serializeBooleanEdge(&serializer, b, true);
+ }
+ delete it;
+}
+
Set *CSolver::createSet(VarType type, uint64_t *elements, uint numelements) {
Set *set = new Set(type, elements, numelements);
allSets.push(set);
return set;
}
+bool CSolver::itemExistInSet(Set *set, uint64_t item) {
+ return set->exists(item);
+}
+
+VarType CSolver::getSetVarType(Set *set) {
+ return set->getType();
+}
+
Element *CSolver::createRangeVar(VarType type, uint64_t lowrange, uint64_t highrange) {
Set *s = createRangeSet(type, lowrange, highrange);
return getElementVar(s);
return element;
}
+void CSolver::finalizeMutableSet(MutableSet *set) {
+ set->finalize();
+}
+
Element *CSolver::getElementVar(Set *set) {
Element *element = new ElementSet(set);
allElements.push(element);
return element;
}
+void CSolver::mustHaveValue(Element *element) {
+ element->anyValue = true;
+}
+
+Set *CSolver::getElementRange (Element *element) {
+ return element->getRange();
+}
+
+
Element *CSolver::getElementConst(VarType type, uint64_t value) {
uint64_t array[] = {value};
Set *set = new Set(type, array, 1);
- Element *element = new ElementConst(value, type, set);
+ Element *element = new ElementConst(value, set);
Element *e = elemMap.get(element);
if (e == NULL) {
allSets.push(set);
}
}
-Element *CSolver::applyFunction(Function *function, Element **array, uint numArrays, Boolean *overflowstatus) {
+
+Element *CSolver::applyFunction(Function *function, Element **array, uint numArrays, BooleanEdge overflowstatus) {
+ ASSERT(numArrays == 2);
Element *element = new ElementFunction(function,array,numArrays,overflowstatus);
Element *e = elemMap.get(element);
if (e == NULL) {
+ element->updateParents();
allElements.push(element);
elemMap.put(element, element);
return element;
}
}
-Function *CSolver::createFunctionOperator(ArithOp op, Set **domain, uint numDomain, Set *range,OverFlowBehavior overflowbehavior) {
- Function *function = new FunctionOperator(op, domain, numDomain, range, overflowbehavior);
+Function *CSolver::createFunctionOperator(ArithOp op, Set *range, OverFlowBehavior overflowbehavior) {
+ Function *function = new FunctionOperator(op, range, overflowbehavior);
allFunctions.push(function);
return function;
}
-Predicate *CSolver::createPredicateOperator(CompOp op, Set **domain, uint numDomain) {
- Predicate *predicate = new PredicateOperator(op, domain,numDomain);
+Predicate *CSolver::createPredicateOperator(CompOp op) {
+ Predicate *predicate = new PredicateOperator(op);
allPredicates.push(predicate);
return predicate;
}
return predicate;
}
-Table *CSolver::createTable(Set **domains, uint numDomain, Set *range) {
- Table *table = new Table(domains,numDomain,range);
+Table *CSolver::createTable(Set *range) {
+ Table *table = new Table(range);
allTables.push(table);
return table;
}
-Table *CSolver::createTableForPredicate(Set **domains, uint numDomain) {
- return createTable(domains, numDomain, NULL);
+Table *CSolver::createTableForPredicate() {
+ return createTable(NULL);
}
void CSolver::addTableEntry(Table *table, uint64_t *inputs, uint inputSize, uint64_t result) {
return function;
}
-Boolean *CSolver::getBooleanVar(VarType type) {
+BooleanEdge CSolver::getBooleanVar(VarType type) {
Boolean *boolean = new BooleanVar(type);
allBooleans.push(boolean);
- return boolean;
+ return BooleanEdge(boolean);
}
-Boolean *CSolver::getBooleanTrue() {
+BooleanEdge CSolver::getBooleanTrue() {
return boolTrue;
}
-Boolean *CSolver::getBooleanFalse() {
+BooleanEdge CSolver::getBooleanFalse() {
return boolFalse;
}
-Boolean *CSolver::applyPredicate(Predicate *predicate, Element **inputs, uint numInputs) {
- return applyPredicateTable(predicate, inputs, numInputs, NULL);
+BooleanEdge CSolver::applyPredicate(Predicate *predicate, Element **inputs, uint numInputs) {
+ return applyPredicateTable(predicate, inputs, numInputs, BooleanEdge(NULL));
}
-Boolean *CSolver::applyPredicateTable(Predicate *predicate, Element **inputs, uint numInputs, Boolean *undefinedStatus) {
+BooleanEdge CSolver::applyPredicateTable(Predicate *predicate, Element **inputs, uint numInputs, BooleanEdge undefinedStatus) {
BooleanPredicate *boolean = new BooleanPredicate(predicate, inputs, numInputs, undefinedStatus);
- Boolean * b = boolMap.get(boolean);
+ Boolean *b = boolMap.get(boolean);
if (b == NULL) {
+ boolean->updateParents();
boolMap.put(boolean, boolean);
allBooleans.push(boolean);
- return boolean;
+ return BooleanEdge(boolean);
} else {
delete boolean;
- return b;
+ return BooleanEdge(b);
}
}
-bool CSolver::isTrue(Boolean *b) {
- return b->isTrue();
+bool CSolver::isTrue(BooleanEdge b) {
+ return b.isNegated() ? b->isFalse() : b->isTrue();
}
-bool CSolver::isFalse(Boolean *b) {
- return b->isFalse();
+bool CSolver::isFalse(BooleanEdge b) {
+ return b.isNegated() ? b->isTrue() : b->isFalse();
}
-Boolean *CSolver::applyLogicalOperation(LogicOp op, Boolean * arg1, Boolean * arg2) {
- Boolean * array[] = {arg1, arg2};
+BooleanEdge CSolver::applyLogicalOperation(LogicOp op, BooleanEdge arg1, BooleanEdge arg2) {
+ BooleanEdge array[] = {arg1, arg2};
return applyLogicalOperation(op, array, 2);
}
-Boolean *CSolver::applyLogicalOperation(LogicOp op, Boolean *arg) {
- Boolean * array[] = {arg};
+BooleanEdge CSolver::applyLogicalOperation(LogicOp op, BooleanEdge arg) {
+ BooleanEdge array[] = {arg};
return applyLogicalOperation(op, array, 1);
}
+static int booleanEdgeCompares(const void *p1, const void *p2) {
+ BooleanEdge be1 = *(BooleanEdge const *) p1;
+ BooleanEdge be2 = *(BooleanEdge const *) p2;
+ uint64_t b1 = be1->id;
+ uint64_t b2 = be2->id;
+ if (b1 < b2)
+ return -1;
+ else if (b1 == b2)
+ return 0;
+ else
+ return 1;
+}
+
+BooleanEdge CSolver::rewriteLogicalOperation(LogicOp op, BooleanEdge *array, uint asize) {
+ BooleanEdge newarray[asize];
+ memcpy(newarray, array, asize * sizeof(BooleanEdge));
+ for (uint i = 0; i < asize; i++) {
+ BooleanEdge b = newarray[i];
+ if (b->type == LOGICOP) {
+ if (((BooleanLogic *) b.getBoolean())->replaced) {
+ newarray[i] = doRewrite(newarray[i]);
+ i--;//Check again
+ }
+ }
+ }
+ return applyLogicalOperation(op, newarray, asize);
+}
-Boolean *CSolver::applyLogicalOperation(LogicOp op, Boolean **array, uint asize) {
- Boolean * newarray[asize];
- switch(op) {
+BooleanEdge CSolver::applyLogicalOperation(LogicOp op, BooleanEdge *array, uint asize) {
+ BooleanEdge newarray[asize];
+ switch (op) {
case SATC_NOT: {
- if (array[0]->type == LOGICOP && ((BooleanLogic *)array[0])->op==SATC_NOT) {
- return ((BooleanLogic *) array[0])->inputs.get(0);
- } else if (array[0]->type == BOOLCONST) {
- return array[0]->isTrue() ? boolFalse : boolTrue;
- }
- break;
+ return array[0].negate();
}
case SATC_IFF: {
- for(uint i=0;i<2;i++) {
- if (array[i]->type == BOOLCONST) {
- if (array[i]->isTrue()) {
- return array[1-i];
- } else {
- newarray[0]=array[1-i];
- return applyLogicalOperation(SATC_NOT, newarray, 1);
+ for (uint i = 0; i < 2; i++) {
+ if (isTrue(array[i])) { // It can be undefined
+ return array[1 - i];
+ } else if (isFalse(array[i])) {
+ newarray[0] = array[1 - i];
+ return applyLogicalOperation(SATC_NOT, newarray, 1);
+ } else if (array[i]->type == LOGICOP) {
+ BooleanLogic *b = (BooleanLogic *)array[i].getBoolean();
+ if (b->replaced) {
+ return rewriteLogicalOperation(op, array, asize);
}
}
}
break;
}
- case SATC_XOR: {
- for(uint i=0;i<2;i++) {
- if (array[i]->type == BOOLCONST) {
- if (array[i]->isTrue()) {
- newarray[0]=array[1-i];
- return applyLogicalOperation(SATC_NOT, newarray, 1);
- } else
- return array[1-i];
- }
- }
- break;
- }
case SATC_OR: {
- uint newindex=0;
- for(uint i=0;i<asize;i++) {
- Boolean *b=array[i];
- if (b->type == BOOLCONST) {
- if (b->isTrue())
- return boolTrue;
- else
- continue;
- } else
- newarray[newindex++]=b;
+ for (uint i = 0; i < asize; i++) {
+ newarray[i] = applyLogicalOperation(SATC_NOT, array[i]);
}
- if (newindex==0) {
- return boolFalse;
- } else if (newindex==1)
- return newarray[0];
- else if (newindex == 2) {
- bool isNot0 = (newarray[0]->type==BOOLCONST) && ((BooleanLogic *)newarray[0])->op == SATC_NOT;
- bool isNot1 = (newarray[1]->type==BOOLCONST) && ((BooleanLogic *)newarray[1])->op == SATC_NOT;
-
- if (isNot0 != isNot1) {
- if (isNot0) {
- newarray[0] = ((BooleanLogic *) newarray[0])->inputs.get(0);
- } else {
- Boolean *tmp = ((BooleanLogic *) array[1])->inputs.get(0);
- array[1] = array[0];
- array[0] = tmp;
- }
- return applyLogicalOperation(SATC_IMPLIES, newarray, 2);
- }
- } else {
- array = newarray;
- asize = newindex;
- }
- break;
+ return applyLogicalOperation(SATC_NOT, applyLogicalOperation(SATC_AND, newarray, asize));
}
case SATC_AND: {
- uint newindex=0;
- for(uint i=0;i<asize;i++) {
- Boolean *b=array[i];
- if (b->type == BOOLCONST) {
- if (b->isTrue())
- continue;
- else
- return boolFalse;
+ uint newindex = 0;
+ for (uint i = 0; i < asize; i++) {
+ BooleanEdge b = array[i];
+ if (b->type == LOGICOP) {
+ if (((BooleanLogic *)b.getBoolean())->replaced)
+ return rewriteLogicalOperation(op, array, asize);
+ }
+ if (isTrue(b))
+ continue;
+ else if (isFalse(b)) {
+ return boolFalse;
} else
- newarray[newindex++]=b;
+ newarray[newindex++] = b;
}
- if (newindex==0) {
+ if (newindex == 0) {
return boolTrue;
- } else if(newindex==1) {
+ } else if (newindex == 1) {
return newarray[0];
} else {
+ bsdqsort(newarray, newindex, sizeof(BooleanEdge), booleanEdgeCompares);
array = newarray;
asize = newindex;
}
break;
}
+ case SATC_XOR: {
+ //handle by translation
+ return applyLogicalOperation(SATC_NOT, applyLogicalOperation(SATC_IFF, array, asize));
+ }
case SATC_IMPLIES: {
- if (array[0]->type == BOOLCONST) {
- if (array[0]->isTrue()) {
- return array[1];
- } else {
- return boolTrue;
- }
- } else if (array[1]->type == BOOLCONST) {
- if (array[1]->isTrue()) {
- return array[1];
- } else {
- return applyLogicalOperation(SATC_NOT, array, 1);
- }
- }
- break;
+ //handle by translation
+ return applyLogicalOperation(SATC_OR, applyLogicalOperation(SATC_NOT, array[0]), array[1]);
}
}
-
+
ASSERT(asize != 0);
Boolean *boolean = new BooleanLogic(this, op, array, asize);
Boolean *b = boolMap.get(boolean);
if (b == NULL) {
+ boolean->updateParents();
boolMap.put(boolean, boolean);
allBooleans.push(boolean);
- return boolean;
+ return BooleanEdge(boolean);
} else {
delete boolean;
- return b;
+ return BooleanEdge(b);
}
}
-Boolean *CSolver::orderConstraint(Order *order, uint64_t first, uint64_t second) {
+BooleanEdge CSolver::orderConstraint(Order *order, uint64_t first, uint64_t second) {
+ // ASSERT(first != second);
+ if (first == second)
+ return getBooleanFalse();
+
+ bool negate = false;
+ if (order->type == SATC_TOTAL) {
+ if (first > second) {
+ uint64_t tmp = first;
+ first = second;
+ second = tmp;
+ negate = true;
+ }
+ }
Boolean *constraint = new BooleanOrder(order, first, second);
- allBooleans.push(constraint);
- return constraint;
+ Boolean *b = boolMap.get(constraint);
+
+ if (b == NULL) {
+ allBooleans.push(constraint);
+ boolMap.put(constraint, constraint);
+ constraint->updateParents();
+ if (order->graph != NULL) {
+ OrderGraph *graph = order->graph;
+ OrderNode *from = graph->lookupOrderNodeFromOrderGraph(first);
+ if (from != NULL) {
+ OrderNode *to = graph->lookupOrderNodeFromOrderGraph(second);
+ if (to != NULL) {
+ OrderEdge *edge = graph->lookupOrderEdgeFromOrderGraph(from, to);
+ OrderEdge *invedge;
+
+ if (edge != NULL && edge->mustPos) {
+ replaceBooleanWithTrueNoRemove(constraint);
+ } else if (edge != NULL && edge->mustNeg) {
+ replaceBooleanWithFalseNoRemove(constraint);
+ } else if ((invedge = graph->lookupOrderEdgeFromOrderGraph(to, from)) != NULL
+ && invedge->mustPos) {
+ replaceBooleanWithFalseNoRemove(constraint);
+ }
+ }
+ }
+ }
+ } else {
+ delete constraint;
+ constraint = b;
+ }
+
+ BooleanEdge be = BooleanEdge(constraint);
+ return negate ? be.negate() : be;
}
-void CSolver::addConstraint(Boolean *constraint) {
- if (constraint == boolTrue)
+void CSolver::addConstraint(BooleanEdge constraint) {
+ if (isTrue(constraint))
return;
- else if (constraint == boolFalse)
+ else if (isFalse(constraint)) {
setUnSAT();
- else
+ }
+ else {
+ if (constraint->type == LOGICOP) {
+ BooleanLogic *b = (BooleanLogic *) constraint.getBoolean();
+ if (!constraint.isNegated()) {
+ if (b->op == SATC_AND) {
+ uint size = b->inputs.getSize();
+ //Handle potential concurrent modification
+ BooleanEdge array[size];
+ for (uint i = 0; i < size; i++) {
+ array[i] = b->inputs.get(i);
+ }
+ for (uint i = 0; i < size; i++) {
+ addConstraint(array[i]);
+ }
+ return;
+ }
+ }
+ if (b->replaced) {
+ addConstraint(doRewrite(constraint));
+ return;
+ }
+ }
constraints.add(constraint);
+ Boolean *ptr = constraint.getBoolean();
+
+ if (ptr->boolVal == BV_UNSAT) {
+ setUnSAT();
+ }
+
+ replaceBooleanWithTrueNoRemove(constraint);
+ constraint->parents.clear();
+ }
}
Order *CSolver::createOrder(OrderType type, Set *set) {
Order *order = new Order(type, set);
allOrders.push(order);
+ activeOrders.add(order);
return order;
}
+/** Computes static ordering information to allow isTrue/isFalse
+ queries on newly created orders to work. */
+
+void CSolver::inferFixedOrder(Order *order) {
+ if (order->graph != NULL) {
+ delete order->graph;
+ }
+ order->graph = buildMustOrderGraph(order);
+ reachMustAnalysis(this, order->graph, true);
+}
+
+void CSolver::inferFixedOrders() {
+ SetIteratorOrder *orderit = activeOrders.iterator();
+ while (orderit->hasNext()) {
+ Order *order = orderit->next();
+ inferFixedOrder(order);
+ }
+}
+
+#define NANOSEC 1000000000.0
int CSolver::solve() {
+ long long startTime = getTimeNano();
bool deleteTuner = false;
if (tuner == NULL) {
tuner = new DefaultTuner();
deleteTuner = true;
}
-
- long long startTime = getTimeNano();
+
+
+ {
+ SetIteratorOrder *orderit = activeOrders.iterator();
+ while (orderit->hasNext()) {
+ Order *order = orderit->next();
+ if (order->graph != NULL) {
+ delete order->graph;
+ order->graph = NULL;
+ }
+ }
+ delete orderit;
+ }
computePolarities(this);
- transformer->orderAnalysis();
+ long long time1 = getTimeNano();
+ model_print("Polarity time: %f\n", (time1 - startTime) / NANOSEC);
+ Preprocess pp(this);
+ pp.doTransform();
+ long long time2 = getTimeNano();
+ model_print("Preprocess time: %f\n", (time2 - time1) / NANOSEC);
+
+ DecomposeOrderTransform dot(this);
+ dot.doTransform();
+ time1 = getTimeNano();
+ model_print("Decompose Order: %f\n", (time1 - time2) / NANOSEC);
+
+ IntegerEncodingTransform iet(this);
+ iet.doTransform();
+
+ ElementOpt eop(this);
+ eop.doTransform();
+
+ EncodingGraph eg(this);
+ eg.encode();
+
naiveEncodingDecision(this);
+// eg.validate();
+
+ time2 = getTimeNano();
+ model_print("Encoding Graph Time: %f\n", (time2 - time1) / NANOSEC);
+
satEncoder->encodeAllSATEncoder(this);
- int result = unsat ? IS_UNSAT : satEncoder->solve();
- long long finishTime = getTimeNano();
- elapsedTime = finishTime - startTime;
+ time1 = getTimeNano();
+
+ model_print("Elapse Encode time: %f\n", (time1 - startTime) / NANOSEC);
+
+ model_print("Is problem UNSAT after encoding: %d\n", unsat);
+ int result = unsat ? IS_UNSAT : satEncoder->solve(satsolverTimeout);
+ model_print("Result Computed in SAT solver:\t%s\n", result == IS_SAT? "SAT" : result == IS_INDETER? "INDETERMINATE" : " UNSAT");
+ time2 = getTimeNano();
+ elapsedTime = time2 - startTime;
+ model_print("CSOLVER solve time: %f\n", elapsedTime / NANOSEC);
if (deleteTuner) {
delete tuner;
tuner = NULL;
return result;
}
+void CSolver::printConstraints() {
+ SetIteratorBooleanEdge *it = getConstraints();
+ while (it->hasNext()) {
+ BooleanEdge b = it->next();
+ b.print();
+ }
+ delete it;
+}
+
+void CSolver::printConstraint(BooleanEdge b) {
+ b.print();
+}
+
uint64_t CSolver::getElementValue(Element *element) {
switch (element->type) {
case ELEMSET:
exit(-1);
}
-bool CSolver::getBooleanValue(Boolean *boolean) {
+bool CSolver::getBooleanValue(BooleanEdge bedge) {
+ Boolean *boolean = bedge.getBoolean();
switch (boolean->type) {
case BOOLEANVAR:
return getBooleanVariableValueSATTranslator(this, boolean);
exit(-1);
}
-HappenedBefore CSolver::getOrderConstraintValue(Order *order, uint64_t first, uint64_t second) {
- return getOrderConstraintValueSATTranslator(this, order, first, second);
+bool CSolver::getOrderConstraintValue(Order *order, uint64_t first, uint64_t second) {
+ return order->encoding.resolver->resolveOrder(first, second);
}
long long CSolver::getEncodeTime() { return satEncoder->getEncodeTime(); }
long long CSolver::getSolveTime() { return satEncoder->getSolveTime(); }
void CSolver::autoTune(uint budget) {
- AutoTuner * autotuner=new AutoTuner(budget);
+ AutoTuner *autotuner = new AutoTuner(budget);
autotuner->addProblem(this);
autotuner->tune();
delete autotuner;
}
+
+
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