//----------------------------------------------------------------------------- // // Copyright (C) Microsoft Corporation. All Rights Reserved. // //----------------------------------------------------------------------------- using System; using System.Collections; using Microsoft.Boogie; using Microsoft.Boogie.VCExprAST; using Microsoft.Contracts; using System.Collections.Generic; using Microsoft.Basetypes; namespace VC { public class VCContext { [Rep] public readonly Hashtable/**/! Label2absy; [Rep] public readonly ProverContext! Ctxt; public readonly Variable ControlFlowVariable; public VCContext(Hashtable/**/! label2absy, ProverContext! ctxt) { this.Label2absy = label2absy; this.Ctxt = ctxt; // base(); } public VCContext(Hashtable/**/! label2absy, ProverContext! ctxt, Variable controlFlowVariable) { this.Label2absy = label2absy; this.Ctxt = ctxt; this.ControlFlowVariable = controlFlowVariable; } } #region A class to compute wlp of a passive command program public class Wlp { public static VCExpr! Block(Block! b, VCExpr! N, VCContext! ctxt) modifies ctxt.*; { VCExpressionGenerator! gen = ctxt.Ctxt.ExprGen; VCExpr! res = N; for (int i = b.Cmds.Length; --i>=0; ) { res = Cmd((!) b.Cmds[i], res, ctxt); } int id = b.UniqueId; expose (ctxt) { ctxt.Label2absy[id] = b; if (ctxt.ControlFlowVariable != null) return res; else return gen.Implies(gen.LabelPos((!)id.ToString(), VCExpressionGenerator.True), res); } } /// /// Computes the wlp for an assert or assume command "cmd". /// public static VCExpr! Cmd(Cmd! cmd, VCExpr! N, VCContext! ctxt) { VCExpressionGenerator! gen = ctxt.Ctxt.ExprGen; if (cmd is AssertCmd) { AssertCmd ac = (AssertCmd)cmd; VCExpr C = ctxt.Ctxt.BoogieExprTranslator.Translate(ac.Expr); if (CommandLineOptions.Clo.vcVariety == CommandLineOptions.VCVariety.Doomed) { return gen.Implies(C, N); } else { int id = ac.UniqueId; ctxt.Label2absy[id] = ac; switch (Subsumption(ac)) { case CommandLineOptions.SubsumptionOption.Never: break; case CommandLineOptions.SubsumptionOption.Always: N = gen.Implies(C, N); break; case CommandLineOptions.SubsumptionOption.NotForQuantifiers: if (!(C is VCExprQuantifier)) { N = gen.Implies(C, N); } break; default: assert false; // unexpected case } // (MSchaef) Hack: This line might be useless, but at least it is not harmfull // need to test it if (CommandLineOptions.Clo.vcVariety == CommandLineOptions.VCVariety.Doomed) return gen.Implies(C, N); if (ctxt.ControlFlowVariable != null) { VCExpr! controlFlowVariableExpr = ctxt.Ctxt.BoogieExprTranslator.LookupVariable(ctxt.ControlFlowVariable); VCExpr! controlFlowFunctionAppl1 = gen.ControlFlowFunctionApplication(controlFlowVariableExpr, gen.Integer(BigNum.FromInt(id))); VCExpr! controlFlowFunctionAppl2 = gen.ControlFlowFunctionApplication(controlFlowVariableExpr, gen.Integer(BigNum.FromInt(id))); VCExpr! assertFailure = gen.Eq(controlFlowFunctionAppl1, gen.Integer(BigNum.FromInt(0))); VCExpr! assertSuccess = gen.Neq(controlFlowFunctionAppl2, gen.Integer(BigNum.FromInt(0))); return gen.And(gen.Implies(assertFailure, C), gen.Implies(assertSuccess, N)); } else return gen.AndSimp(gen.LabelNeg((!)id.ToString(), C), N); } } else if (cmd is AssumeCmd) { AssumeCmd ac = (AssumeCmd)cmd; return gen.ImpliesSimp(ctxt.Ctxt.BoogieExprTranslator.Translate(ac.Expr), N); } else { Console.WriteLine(cmd.ToString()); assert false; // unexpected command } } public static CommandLineOptions.SubsumptionOption Subsumption(AssertCmd! ac) { int n = QKeyValue.FindIntAttribute(ac.Attributes, "subsumption", -1); switch (n) { case 0: return CommandLineOptions.SubsumptionOption.Never; case 1: return CommandLineOptions.SubsumptionOption.NotForQuantifiers; case 2: return CommandLineOptions.SubsumptionOption.Always; default: return CommandLineOptions.Clo.UseSubsumption; } } public static VCExpr! RegExpr(RE! r, VCExpr! N, VCContext! ctxt) { if ( r is AtomicRE ) { AtomicRE ar = (AtomicRE) r; return Block(ar.b, N, ctxt); } else if ( r is Sequential ) { Sequential s = (Sequential) r; return RegExpr(s.first, RegExpr(s.second, N, ctxt), ctxt); } else if ( r is Choice ) { Choice ch = (Choice) r; VCExpr! res; if (ch.rs == null || ch.rs.Length==0) { res = N; } else { VCExpr currentWLP = RegExpr((!)ch.rs[0], N, ctxt); for (int i = 1, n = ch.rs.Length; i < n; i++) { currentWLP = ctxt.Ctxt.ExprGen.And(currentWLP, RegExpr((!)ch.rs[i], N, ctxt)); } res = currentWLP; } return res; } else { assert false; // unexpected RE subtype } } } #endregion }