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/*******************************************************************************
* Copyright (c) 2017 Politecnico di Torino and others.
*
* All rights reserved. This program and the accompanying materials
* are made available under the terms of the Apache License, Version 2.0
* which accompanies this distribution, and is available at
* http://www.apache.org/licenses/LICENSE-2.0
*******************************************************************************/
package mcnet.netobjs;
import java.util.ArrayList;
import java.util.List;
import com.microsoft.z3.BoolExpr;
import com.microsoft.z3.Context;
import com.microsoft.z3.DatatypeExpr;
import com.microsoft.z3.Expr;
import com.microsoft.z3.FuncDecl;
import com.microsoft.z3.IntExpr;
import com.microsoft.z3.Solver;
import mcnet.components.NetContext;
import mcnet.components.Network;
import mcnet.components.NetworkObject;
/**
* NAT Model object
*
*/
public class PolitoNat extends NetworkObject{
List<BoolExpr> constraints;
Context ctx;
DatatypeExpr nat;
List<DatatypeExpr> private_addresses;
List<NetworkObject> private_node;
Network net;
NetContext nctx;
FuncDecl private_addr_func ;
public PolitoNat(Context ctx, Object[]... args) {
super(ctx, args);
}
@Override
protected void init(Context ctx, Object[]... args) {
this.ctx = ctx;
isEndHost=false;
constraints = new ArrayList<BoolExpr>();
z3Node = ((NetworkObject)args[0][0]).getZ3Node();
nat = z3Node;
net = (Network)args[0][1];
nctx = (NetContext)args[0][2];
private_addresses = new ArrayList<DatatypeExpr>();
private_node = new ArrayList<NetworkObject>();
net.saneSend(this);
}
@Override
public DatatypeExpr getZ3Node() {
return nat;
}
@Override
protected void addConstraints(Solver solver) {
BoolExpr[] constr = new BoolExpr[constraints.size()];
solver.add(constraints.toArray(constr));
}
/*
private void addPrivateAdd(List<DatatypeExpr> address){
private_addresses.addAll(address);
}
*/
public List<DatatypeExpr> getPrivateAddress(){
return private_addresses;
}
public void natModel(DatatypeExpr natIp){
Expr x = ctx.mkConst("x", nctx.node);
Expr y = ctx.mkConst("y", nctx.node);
Expr z = ctx.mkConst("z", nctx.node);
Expr p_0 = ctx.mkConst("p_0", nctx.packet);
Expr p_1 = ctx.mkConst("p_1", nctx.packet);
Expr p_2 = ctx.mkConst("p_2", nctx.packet);
IntExpr t_0 = ctx.mkIntConst("t_0");
IntExpr t_1 = ctx.mkIntConst("t_1");
IntExpr t_2 = ctx.mkIntConst("t_2");
// private_addr_func = ctx.mkFuncDecl("private_addr_func", nctx.address, ctx.mkBoolSort());
private_addr_func = ctx.mkFuncDecl(nat + "_nat_func", nctx.address, ctx.mkBoolSort());
//Constraint1
// "send(nat, x, p_0, t_0) && !private_addr_func(p_0.dest) ->
// p_0.src == ip_politoNat &&
// (exist y, p_1,t_1 :
// (recv(y, nat, p_1, t_1) && t_1 < t_0 &&
// private_addr_func(p1.src) &&
// p_1.origin == p_0.origin &&
// same for p_1.<dest,orig_body,body,seq,proto,emailFrom,url,options> == p_0.<...>) "
constraints.add( ctx.mkForall(new Expr[]{t_0, p_0, x},
ctx.mkImplies(
ctx.mkAnd((BoolExpr)nctx.send.apply(nat, x, p_0, t_0),
ctx.mkNot((BoolExpr)private_addr_func.apply(nctx.pf.get("dest").apply(p_0)))),
ctx.mkAnd(
ctx.mkEq(nctx.pf.get("src").apply(p_0),natIp),
ctx.mkExists(new Expr[]{y, p_1, t_1},
ctx.mkAnd(
(BoolExpr)nctx.recv.apply(y, nat, p_1, t_1),
ctx.mkLt(t_1 , t_0),
(BoolExpr)private_addr_func.apply(nctx.pf.get("src").apply(p_1)),
ctx.mkEq(nctx.pf.get("origin").apply(p_1),nctx.pf.get("origin").apply(p_0)),
ctx.mkEq(nctx.pf.get("dest").apply(p_1),nctx.pf.get("dest").apply(p_0)),
ctx.mkEq(nctx.pf.get("orig_body").apply(p_1),nctx.pf.get("orig_body").apply(p_0)),
ctx.mkEq(nctx.pf.get("body").apply(p_1),nctx.pf.get("body").apply(p_0)),
ctx.mkEq(nctx.pf.get("seq").apply(p_1),nctx.pf.get("seq").apply(p_0)),
ctx.mkEq(nctx.pf.get("proto").apply(p_1),nctx.pf.get("proto").apply(p_0)),
ctx.mkEq(nctx.pf.get("emailFrom").apply(p_1),nctx.pf.get("emailFrom").apply(p_0)),
ctx.mkEq(nctx.pf.get("url").apply(p_1),nctx.pf.get("url").apply(p_0)),
ctx.mkEq(nctx.pf.get("options").apply(p_1),nctx.pf.get("options").apply(p_0))),1,null,null,null,null))),1,null,null,null,null));
//Constraint2
// send(nat, x, p_0, t_0) && private_addr_func(p_0.dest) ->
// !private_addr_func(p_0.src) &&
// (exist y, p_1,t_1 :
// (recv(y, nat, p_1, t_1) && t_1 < t_0 &&
// !private_addr_func(p1.src) &&
// p_1.dest == ip_politoNat &&
// p_1.origin == p_0.origin &&
// same for p_1.<src,orig_body,body,seq,proto,emailFrom,url,options> == p_0.<...>)
constraints.add( ctx.mkForall(new Expr[]{x, p_0, t_0},
ctx.mkImplies(
ctx.mkAnd((BoolExpr)nctx.send.apply(nat, x, p_0, t_0),
(BoolExpr)private_addr_func.apply(nctx.pf.get("dest").apply(p_0))),
ctx.mkAnd(
ctx.mkNot((BoolExpr)private_addr_func.apply(nctx.pf.get("src").apply(p_0))),
ctx.mkExists(new Expr[]{y, p_1, t_1},
ctx.mkAnd(
ctx.mkLt(t_1 , t_0),
(BoolExpr)nctx.recv.apply(y, nat, p_1, t_1),
ctx.mkNot((BoolExpr)private_addr_func.apply(nctx.pf.get("src").apply(p_1))),
ctx.mkEq(nctx.pf.get("dest").apply(p_1),natIp),
ctx.mkEq(nctx.pf.get("src").apply(p_1),nctx.pf.get("src").apply(p_0)),
ctx.mkEq(nctx.pf.get("origin").apply(p_0),nctx.pf.get("origin").apply(p_1)),
ctx.mkEq(nctx.pf.get("orig_body").apply(p_1),nctx.pf.get("orig_body").apply(p_0)),
ctx.mkEq(nctx.pf.get("body").apply(p_1),nctx.pf.get("body").apply(p_0)),
ctx.mkEq(nctx.pf.get("seq").apply(p_1),nctx.pf.get("seq").apply(p_0)),
ctx.mkEq(nctx.pf.get("proto").apply(p_1),nctx.pf.get("proto").apply(p_0)),
ctx.mkEq(nctx.pf.get("emailFrom").apply(p_1),nctx.pf.get("emailFrom").apply(p_0)),
ctx.mkEq(nctx.pf.get("url").apply(p_1),nctx.pf.get("url").apply(p_0)),
ctx.mkEq(nctx.pf.get("options").apply(p_1),nctx.pf.get("options").apply(p_0)),
ctx.mkExists(new Expr[]{z, p_2, t_2},
ctx.mkAnd(
ctx.mkLt(t_2 , t_1),
(BoolExpr)nctx.recv.apply(z, nat, p_2, t_2),
(BoolExpr)private_addr_func.apply(nctx.pf.get("src").apply(p_2)),
ctx.mkEq(nctx.pf.get("src").apply(p_1),nctx.pf.get("dest").apply(p_2)),
ctx.mkEq(nctx.pf.get("src").apply(p_0),nctx.pf.get("dest").apply(p_2)),
ctx.mkEq(nctx.pf.get("src").apply(p_2),nctx.pf.get("dest").apply(p_0))),1,null,null,null,null)),1,null,null,null,null))),1,null,null,null,null));
}
public void setInternalAddress(ArrayList<DatatypeExpr> internalAddress){
List<BoolExpr> constr = new ArrayList<BoolExpr>();
Expr n_0 = ctx.mkConst("nat_node", nctx.address);
for(DatatypeExpr n : internalAddress){
constr.add(ctx.mkEq(n_0,n));
}
BoolExpr[] constrs = new BoolExpr[constr.size()];
//Constraint private_addr_func(n_0) == or(n_0==n foreach internal address)
constraints.add(ctx.mkForall(new Expr[]{n_0}, ctx.mkEq(private_addr_func.apply(n_0),ctx.mkOr(constr.toArray(constrs))),1,null,null,null,null));
}
}
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