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Example 1 with Expr

use of com.microsoft.z3.Expr in project Dat3M by hernanponcedeleon.

the class Porthos method main.

public static void main(String[] args) throws Z3Exception, IOException {
    List<String> MCMs = Arrays.asList("sc", "tso", "pso", "rmo", "alpha", "power", "arm");
    Options options = new Options();
    Option sourceOpt = new Option("s", "source", true, "source MCM");
    sourceOpt.setRequired(true);
    options.addOption(sourceOpt);
    Option targetOpt = new Option("t", "target", true, "target MCM");
    targetOpt.setRequired(true);
    options.addOption(targetOpt);
    Option inputOpt = new Option("i", "input", true, "input file path");
    inputOpt.setRequired(true);
    options.addOption(inputOpt);
    options.addOption("state", false, "PORTHOS performs state portability");
    options.addOption(Option.builder("draw").hasArg().desc("If a buf is found, it outputs a graph \\path_to_file.dot").build());
    options.addOption(Option.builder("rels").hasArgs().desc("Relations to be drawn in the graph").build());
    options.addOption(Option.builder("unroll").hasArg().desc("Unrolling steps").build());
    CommandLineParser parserCmd = new DefaultParser();
    HelpFormatter formatter = new HelpFormatter();
    CommandLine cmd;
    try {
        cmd = parserCmd.parse(options, args);
    } catch (ParseException e) {
        System.out.println(e.getMessage());
        formatter.printHelp("PORTHOS", options);
        System.exit(1);
        return;
    }
    String source = cmd.getOptionValue("source");
    if (!MCMs.stream().anyMatch(mcms -> mcms.trim().equals(source))) {
        System.out.println("Unrecognized source");
        System.exit(0);
        return;
    }
    String target = cmd.getOptionValue("target");
    if (!MCMs.stream().anyMatch(mcms -> mcms.trim().equals(target))) {
        System.out.println("Unrecognized target");
        System.exit(0);
        return;
    }
    String inputFilePath = cmd.getOptionValue("input");
    if (!inputFilePath.endsWith("pts") && !inputFilePath.endsWith("litmus")) {
        System.out.println("Unrecognized program format");
        System.exit(0);
        return;
    }
    File file = new File(inputFilePath);
    boolean statePortability = cmd.hasOption("state");
    String[] rels = new String[100];
    if (cmd.hasOption("rels")) {
        rels = cmd.getOptionValues("rels");
    }
    String program = FileUtils.readFileToString(file, "UTF-8");
    ANTLRInputStream input = new ANTLRInputStream(program);
    Program p = new Program(inputFilePath);
    if (inputFilePath.endsWith("litmus")) {
        LitmusLexer lexer = new LitmusLexer(input);
        CommonTokenStream tokens = new CommonTokenStream(lexer);
        LitmusParser parser = new LitmusParser(tokens);
        p = parser.program(inputFilePath).p;
    }
    if (inputFilePath.endsWith("pts")) {
        PorthosLexer lexer = new PorthosLexer(input);
        CommonTokenStream tokens = new CommonTokenStream(lexer);
        PorthosParser parser = new PorthosParser(tokens);
        p = parser.program(inputFilePath).p;
    }
    int steps = 1;
    if (cmd.hasOption("unroll")) {
        steps = Integer.parseInt(cmd.getOptionValue("unroll"));
    }
    p.initialize(steps);
    Program pSource = p.clone();
    Program pTarget = p.clone();
    pSource.compile(source, false, true);
    Integer startEId = Collections.max(pSource.getEvents().stream().filter(e -> e instanceof Init).map(e -> e.getEId()).collect(Collectors.toSet())) + 1;
    pTarget.compile(target, false, true, startEId);
    Context ctx = new Context();
    ctx.setPrintMode(Z3_ast_print_mode.Z3_PRINT_SMTLIB_FULL);
    Solver s = ctx.mkSolver();
    Solver s2 = ctx.mkSolver();
    BoolExpr sourceDF = pSource.encodeDF(ctx);
    BoolExpr sourceCF = pSource.encodeCF(ctx);
    BoolExpr sourceDF_RF = pSource.encodeDF_RF(ctx);
    BoolExpr sourceDomain = Domain.encode(pSource, ctx);
    BoolExpr sourceMM = pSource.encodeMM(ctx, source);
    s.add(pTarget.encodeDF(ctx));
    s.add(pTarget.encodeCF(ctx));
    s.add(pTarget.encodeDF_RF(ctx));
    s.add(Domain.encode(pTarget, ctx));
    s.add(pTarget.encodeMM(ctx, target));
    s.add(pTarget.encodeConsistent(ctx, target));
    s.add(sourceDF);
    s.add(sourceCF);
    s.add(sourceDF_RF);
    s.add(sourceDomain);
    s.add(sourceMM);
    s.add(pSource.encodeInconsistent(ctx, source));
    s.add(encodeCommonExecutions(pTarget, pSource, ctx));
    s2.add(sourceDF);
    s2.add(sourceCF);
    s2.add(sourceDF_RF);
    s2.add(sourceDomain);
    s2.add(sourceMM);
    s2.add(pSource.encodeConsistent(ctx, source));
    if (!statePortability) {
        if (s.check() == Status.SATISFIABLE) {
            System.out.println("The program is not portable");
            // System.out.println("       0");
            if (cmd.hasOption("draw")) {
                String outputPath = cmd.getOptionValue("draw");
                Utils.drawGraph(p, pSource, pTarget, ctx, s.getModel(), outputPath, rels);
            }
            return;
        } else {
            System.out.println("The program is portable");
            // System.out.println("       1");
            return;
        }
    }
    int iterations = 0;
    Status lastCheck = Status.SATISFIABLE;
    Set<Expr> visited = new HashSet<Expr>();
    while (lastCheck == Status.SATISFIABLE) {
        lastCheck = s.check();
        if (lastCheck == Status.SATISFIABLE) {
            iterations = iterations + 1;
            Model model = s.getModel();
            s2.push();
            BoolExpr reachedState = encodeReachedState(pTarget, model, ctx);
            visited.add(reachedState);
            assert (iterations == visited.size());
            s2.add(reachedState);
            if (s2.check() == Status.UNSATISFIABLE) {
                System.out.println("The program is not state-portable");
                System.out.println("Iterations: " + iterations);
                // System.out.println("       0");
                return;
            } else {
                s2.pop();
                s.add(ctx.mkNot(reachedState));
            }
        } else {
            System.out.println("The program is state-portable");
            System.out.println("Iterations: " + iterations);
            // System.out.println("       1");
            return;
        }
    }
}
Also used : Arrays(java.util.Arrays) Solver(com.microsoft.z3.Solver) org.apache.commons.cli(org.apache.commons.cli) Context(com.microsoft.z3.Context) CommonTokenStream(org.antlr.v4.runtime.CommonTokenStream) HashSet(java.util.HashSet) LitmusParser(dartagnan.LitmusParser) PorthosLexer(dartagnan.PorthosLexer) PorthosParser(dartagnan.PorthosParser) BoolExpr(com.microsoft.z3.BoolExpr) Status(com.microsoft.z3.Status) Program(dartagnan.program.Program) ANTLRInputStream(org.antlr.v4.runtime.ANTLRInputStream) Set(java.util.Set) IOException(java.io.IOException) FileUtils(org.apache.commons.io.FileUtils) Utils(dartagnan.utils.Utils) Collectors(java.util.stream.Collectors) File(java.io.File) Z3_ast_print_mode(com.microsoft.z3.enumerations.Z3_ast_print_mode) Init(dartagnan.program.Init) List(java.util.List) Model(com.microsoft.z3.Model) Domain(dartagnan.wmm.Domain) Encodings.encodeReachedState(dartagnan.utils.Encodings.encodeReachedState) Expr(com.microsoft.z3.Expr) Z3Exception(com.microsoft.z3.Z3Exception) Collections(java.util.Collections) LitmusLexer(dartagnan.LitmusLexer) Encodings.encodeCommonExecutions(dartagnan.utils.Encodings.encodeCommonExecutions) BoolExpr(com.microsoft.z3.BoolExpr) Solver(com.microsoft.z3.Solver) LitmusLexer(dartagnan.LitmusLexer) PorthosParser(dartagnan.PorthosParser) PorthosLexer(dartagnan.PorthosLexer) Init(dartagnan.program.Init) HashSet(java.util.HashSet) Context(com.microsoft.z3.Context) Status(com.microsoft.z3.Status) CommonTokenStream(org.antlr.v4.runtime.CommonTokenStream) Program(dartagnan.program.Program) LitmusParser(dartagnan.LitmusParser) BoolExpr(com.microsoft.z3.BoolExpr) Expr(com.microsoft.z3.Expr) Model(com.microsoft.z3.Model) File(java.io.File) ANTLRInputStream(org.antlr.v4.runtime.ANTLRInputStream)

Example 2 with Expr

use of com.microsoft.z3.Expr in project batfish by batfish.

the class Encoder method environmentBlockingClause.

/*
   * Generate a blocking clause for the encoding that says that one
   * of the environments that was true before must now be false.
   */
private BoolExpr environmentBlockingClause(Model m) {
    BoolExpr acc1 = mkFalse();
    BoolExpr acc2 = mkTrue();
    // Disable an environment edge if possible
    Map<LogicalEdge, SymbolicRoute> map = getMainSlice().getLogicalGraph().getEnvironmentVars();
    for (Map.Entry<LogicalEdge, SymbolicRoute> entry : map.entrySet()) {
        SymbolicRoute record = entry.getValue();
        BoolExpr per = record.getPermitted();
        Expr x = m.evaluate(per, false);
        if (x.toString().equals("true")) {
            acc1 = mkOr(acc1, mkNot(per));
        } else {
            acc2 = mkAnd(acc2, mkNot(per));
        }
    }
    // Disable a community value if possible
    for (Map.Entry<LogicalEdge, SymbolicRoute> entry : map.entrySet()) {
        SymbolicRoute record = entry.getValue();
        for (Map.Entry<CommunityVar, BoolExpr> centry : record.getCommunities().entrySet()) {
            BoolExpr comm = centry.getValue();
            Expr x = m.evaluate(comm, false);
            if (x.toString().equals("true")) {
                acc1 = mkOr(acc1, mkNot(comm));
            } else {
                acc2 = mkAnd(acc2, mkNot(comm));
            }
        }
    }
    return mkAnd(acc1, acc2);
}
Also used : CommunityVar(org.batfish.symbolic.CommunityVar) BoolExpr(com.microsoft.z3.BoolExpr) BoolExpr(com.microsoft.z3.BoolExpr) ArithExpr(com.microsoft.z3.ArithExpr) BitVecExpr(com.microsoft.z3.BitVecExpr) Expr(com.microsoft.z3.Expr) HashMap(java.util.HashMap) Map(java.util.Map) TreeMap(java.util.TreeMap) SortedMap(java.util.SortedMap)

Example 3 with Expr

use of com.microsoft.z3.Expr in project batfish by batfish.

the class EncoderSlice method addExportConstraint.

/*
   * Creates the transfer function to represent export filters
   * between two symbolic records. The import filter depends
   * heavily on the protocol.
   */
private void addExportConstraint(LogicalEdge e, SymbolicRoute varsOther, @Nullable SymbolicRoute ospfRedistribVars, @Nullable SymbolicRoute overallBest, Configuration conf, Protocol proto, GraphEdge ge, String router, boolean usedExport, Set<Prefix> originations) {
    SymbolicRoute vars = e.getSymbolicRecord();
    Interface iface = ge.getStart();
    ArithExpr failed = getSymbolicFailures().getFailedVariable(e.getEdge());
    assert (failed != null);
    BoolExpr notFailed = mkEq(failed, mkInt(0));
    // only add constraints once when using a single copy of export variables
    if (!_optimizations.getSliceCanKeepSingleExportVar().get(router).get(proto) || !usedExport) {
        if (proto.isConnected()) {
            BoolExpr val = mkNot(vars.getPermitted());
            add(val);
        }
        if (proto.isStatic()) {
            BoolExpr val = mkNot(vars.getPermitted());
            add(val);
        }
        if (proto.isOspf() || proto.isBgp()) {
            // BGP cost based on export
            Integer cost = proto.isBgp() ? addedCost(proto, ge) : 0;
            BoolExpr val = mkNot(vars.getPermitted());
            BoolExpr active = interfaceActive(iface, proto);
            // Apply BGP export policy and cost based on peer type
            // (1) EBGP --> ALL
            // (2) CLIENT --> ALL
            // (3) NONCLIENT --> EBGP, CLIENT
            boolean isNonClientEdge = proto.isBgp() && getGraph().peerType(ge) != Graph.BgpSendType.TO_EBGP;
            boolean isClientEdge = proto.isBgp() && getGraph().peerType(ge) == Graph.BgpSendType.TO_CLIENT;
            boolean isInternalExport = varsOther.isBest() && _optimizations.getNeedBgpInternal().contains(router);
            BoolExpr doExport = mkTrue();
            if (isInternalExport && proto.isBgp() && isNonClientEdge) {
                if (isClientEdge) {
                    cost = 0;
                } else {
                    // Lookup if we learned from iBGP, and if so, don't export the route
                    SymbolicRoute other = getBestNeighborPerProtocol(router, proto);
                    assert other != null;
                    assert other.getBgpInternal() != null;
                    if (other.getBgpInternal() != null) {
                        doExport = mkNot(other.getBgpInternal());
                        cost = 0;
                    }
                }
            }
            BoolExpr acc;
            RoutingPolicy pol = getGraph().findExportRoutingPolicy(router, proto, e.getEdge());
            if (Encoder.ENABLE_DEBUGGING && pol != null) {
                System.out.println("Export policy (" + _sliceName + "," + ge + "): " + pol.getName());
            }
            // We have to wrap this with the right thing for some reason
            List<Statement> statements;
            Statements.StaticStatement s1 = new Statements.StaticStatement(Statements.ExitAccept);
            Statements.StaticStatement s2 = new Statements.StaticStatement(Statements.ExitReject);
            if (proto.isOspf()) {
                If i = new If();
                List<Statement> stmts = (pol == null ? Collections.singletonList(s2) : pol.getStatements());
                i.setTrueStatements(Collections.singletonList(s1));
                i.setFalseStatements(stmts);
                BooleanExpr expr = new MatchProtocol(RoutingProtocol.OSPF);
                i.setGuard(expr);
                statements = Collections.singletonList(i);
            } else {
                statements = (pol == null ? Collections.singletonList(s1) : pol.getStatements());
            }
            TransferSSA f = new TransferSSA(this, conf, varsOther, vars, proto, statements, cost, ge, true);
            acc = f.compute();
            BoolExpr usable = mkAnd(active, doExport, varsOther.getPermitted(), notFailed);
            // will maintain the same preference when adding to the cost.
            if (ospfRedistribVars != null) {
                assert overallBest != null;
                f = new TransferSSA(this, conf, overallBest, ospfRedistribVars, proto, statements, cost, ge, true);
                BoolExpr acc2 = f.compute();
                // System.out.println("ADDING: \n" + acc2.simplify());
                add(acc2);
                BoolExpr usable2 = mkAnd(active, doExport, ospfRedistribVars.getPermitted(), notFailed);
                BoolExpr geq = greaterOrEqual(conf, proto, ospfRedistribVars, varsOther, e);
                BoolExpr isBetter = mkNot(mkAnd(ospfRedistribVars.getPermitted(), geq));
                BoolExpr usesOspf = mkAnd(varsOther.getPermitted(), isBetter);
                BoolExpr eq = equal(conf, proto, ospfRedistribVars, vars, e, false);
                BoolExpr eqPer = mkEq(ospfRedistribVars.getPermitted(), vars.getPermitted());
                acc = mkIf(usesOspf, mkIf(usable, acc, val), mkIf(usable2, mkAnd(eq, eqPer), val));
            } else {
                acc = mkIf(usable, acc, val);
            }
            for (Prefix p : originations) {
                // For OSPF, we need to explicitly initiate a route
                if (proto.isOspf()) {
                    BoolExpr ifaceUp = interfaceActive(iface, proto);
                    BoolExpr relevantPrefix = isRelevantFor(p, _symbolicPacket.getDstIp());
                    BoolExpr relevant = mkAnd(ifaceUp, relevantPrefix);
                    int adminDistance = defaultAdminDistance(conf, proto);
                    int prefixLength = p.getPrefixLength();
                    BoolExpr per = vars.getPermitted();
                    BoolExpr lp = safeEq(vars.getLocalPref(), mkInt(0));
                    BoolExpr ad = safeEq(vars.getAdminDist(), mkInt(adminDistance));
                    BoolExpr met = safeEq(vars.getMetric(), mkInt(cost));
                    BoolExpr med = safeEq(vars.getMed(), mkInt(100));
                    BoolExpr len = safeEq(vars.getPrefixLength(), mkInt(prefixLength));
                    BoolExpr type = safeEqEnum(vars.getOspfType(), OspfType.O);
                    BoolExpr area = safeEqEnum(vars.getOspfArea(), iface.getOspfAreaName());
                    BoolExpr internal = safeEq(vars.getBgpInternal(), mkFalse());
                    BoolExpr igpMet = safeEq(vars.getIgpMetric(), mkInt(0));
                    BoolExpr comms = mkTrue();
                    for (Map.Entry<CommunityVar, BoolExpr> entry : vars.getCommunities().entrySet()) {
                        comms = mkAnd(comms, mkNot(entry.getValue()));
                    }
                    BoolExpr values = mkAnd(per, lp, ad, met, med, len, type, area, internal, igpMet, comms);
                    // Don't originate OSPF route when there is a better redistributed route
                    if (ospfRedistribVars != null) {
                        BoolExpr betterLen = mkGt(ospfRedistribVars.getPrefixLength(), mkInt(prefixLength));
                        BoolExpr equalLen = mkEq(ospfRedistribVars.getPrefixLength(), mkInt(prefixLength));
                        BoolExpr betterAd = mkLt(ospfRedistribVars.getAdminDist(), mkInt(110));
                        BoolExpr better = mkOr(betterLen, mkAnd(equalLen, betterAd));
                        BoolExpr betterRedistributed = mkAnd(ospfRedistribVars.getPermitted(), better);
                        relevant = mkAnd(relevant, mkNot(betterRedistributed));
                    }
                    acc = mkIf(relevant, values, acc);
                }
            }
            add(acc);
            if (Encoder.ENABLE_DEBUGGING) {
                System.out.println("EXPORT: " + router + " " + varsOther.getName() + " " + ge);
                System.out.println(acc.simplify());
                System.out.println("\n\n");
            }
        }
    }
}
Also used : ArithExpr(com.microsoft.z3.ArithExpr) BoolExpr(com.microsoft.z3.BoolExpr) Statement(org.batfish.datamodel.routing_policy.statement.Statement) RoutingPolicy(org.batfish.datamodel.routing_policy.RoutingPolicy) Prefix(org.batfish.datamodel.Prefix) MatchProtocol(org.batfish.datamodel.routing_policy.expr.MatchProtocol) CommunityVar(org.batfish.symbolic.CommunityVar) Statements(org.batfish.datamodel.routing_policy.statement.Statements) If(org.batfish.datamodel.routing_policy.statement.If) HashMap(java.util.HashMap) Map(java.util.Map) Interface(org.batfish.datamodel.Interface) BooleanExpr(org.batfish.datamodel.routing_policy.expr.BooleanExpr)

Example 4 with Expr

use of com.microsoft.z3.Expr in project batfish by batfish.

the class PropertyAdder method allEqual.

static BoolExpr allEqual(Context ctx, List<Expr> exprs) {
    BoolExpr acc = ctx.mkBool(true);
    if (exprs.size() > 1) {
        for (int i = 0; i < exprs.size() - 1; i++) {
            Expr x = exprs.get(i);
            Expr y = exprs.get(i + 1);
            acc = ctx.mkAnd(acc, ctx.mkEq(x, y));
        }
    }
    return acc;
}
Also used : BoolExpr(com.microsoft.z3.BoolExpr) BitVecExpr(com.microsoft.z3.BitVecExpr) BoolExpr(com.microsoft.z3.BoolExpr) Expr(com.microsoft.z3.Expr) ArithExpr(com.microsoft.z3.ArithExpr)

Example 5 with Expr

use of com.microsoft.z3.Expr in project batfish by batfish.

the class CounterExample method buildEnvRoutingTable.

SortedSet<BgpAdvertisement> buildEnvRoutingTable(Encoder enc) {
    SortedSet<BgpAdvertisement> routes = new TreeSet<>();
    EncoderSlice slice = enc.getMainSlice();
    LogicalGraph lg = slice.getLogicalGraph();
    for (Entry<LogicalEdge, SymbolicRoute> entry : lg.getEnvironmentVars().entrySet()) {
        LogicalEdge lge = entry.getKey();
        SymbolicRoute record = entry.getValue();
        // If there is an external advertisement
        if (boolVal(record.getPermitted())) {
            // If we actually use it
            GraphEdge ge = lge.getEdge();
            String router = ge.getRouter();
            SymbolicDecisions decisions = slice.getSymbolicDecisions();
            BoolExpr ctrFwd = decisions.getControlForwarding().get(router, ge);
            assert ctrFwd != null;
            if (boolVal(ctrFwd)) {
                SymbolicRoute r = decisions.getBestNeighbor().get(router);
                SymbolicPacket pkt = slice.getSymbolicPacket();
                Flow f = buildFlow(pkt, router);
                Prefix pfx = buildPrefix(r, f);
                int pathLength = intVal(r.getMetric());
                // Create dummy information
                BgpNeighbor n = slice.getGraph().getEbgpNeighbors().get(lge.getEdge());
                String srcNode = "as" + n.getRemoteAs();
                Ip zeroIp = new Ip(0);
                Ip dstIp = n.getLocalIp();
                // Recover AS path
                List<SortedSet<Integer>> asSets = new ArrayList<>();
                for (int i = 0; i < pathLength; i++) {
                    SortedSet<Integer> asSet = new TreeSet<>();
                    asSet.add(-1);
                    asSets.add(asSet);
                }
                AsPath path = new AsPath(asSets);
                // Recover communities
                SortedSet<Long> communities = new TreeSet<>();
                for (Entry<CommunityVar, BoolExpr> entry2 : r.getCommunities().entrySet()) {
                    CommunityVar cvar = entry2.getKey();
                    BoolExpr expr = entry2.getValue();
                    if (cvar.getType() == Type.EXACT && boolVal(expr)) {
                        communities.add(cvar.asLong());
                    }
                }
                BgpAdvertisement adv = new BgpAdvertisement(BgpAdvertisementType.EBGP_RECEIVED, pfx, zeroIp, srcNode, "default", zeroIp, router, "default", dstIp, RoutingProtocol.BGP, OriginType.EGP, 100, 80, zeroIp, path, communities, new TreeSet<>(), 0);
                routes.add(adv);
            }
        }
    }
    return routes;
}
Also used : BoolExpr(com.microsoft.z3.BoolExpr) Ip(org.batfish.datamodel.Ip) ArrayList(java.util.ArrayList) Prefix(org.batfish.datamodel.Prefix) SortedSet(java.util.SortedSet) BgpNeighbor(org.batfish.datamodel.BgpNeighbor) TreeSet(java.util.TreeSet) Flow(org.batfish.datamodel.Flow) CommunityVar(org.batfish.symbolic.CommunityVar) BgpAdvertisement(org.batfish.datamodel.BgpAdvertisement) AsPath(org.batfish.datamodel.AsPath) GraphEdge(org.batfish.symbolic.GraphEdge)

Aggregations

BoolExpr (com.microsoft.z3.BoolExpr)28 Expr (com.microsoft.z3.Expr)27 Test (org.junit.Test)19 HashMap (java.util.HashMap)12 Status (com.microsoft.z3.Status)11 BitVecExpr (com.microsoft.z3.BitVecExpr)10 ArithExpr (com.microsoft.z3.ArithExpr)8 CommunityVar (org.batfish.symbolic.CommunityVar)6 State (de.bmoth.modelchecker.State)5 Ip (org.batfish.datamodel.Ip)5 ArrayList (java.util.ArrayList)4 List (java.util.List)4 Map (java.util.Map)4 BatfishException (org.batfish.common.BatfishException)4 Prefix (org.batfish.datamodel.Prefix)4 BooleanExpr (org.batfish.datamodel.routing_policy.expr.BooleanExpr)4 Protocol (org.batfish.symbolic.Protocol)4 HashSet (java.util.HashSet)3 Collectors (java.util.stream.Collectors)3 MatchProtocol (org.batfish.datamodel.routing_policy.expr.MatchProtocol)3