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path: root/Source/VCGeneration/Wlp.cs
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//-----------------------------------------------------------------------------
//
// Copyright (C) Microsoft Corporation.  All Rights Reserved.
//
//-----------------------------------------------------------------------------
using System;
using System.Collections;
using Microsoft.Boogie;
using Microsoft.Boogie.VCExprAST;
using System.Diagnostics.Contracts;
using System.Collections.Generic;
using Microsoft.Basetypes;

namespace VC {
  public class VCContext 
  {
    [ContractInvariantMethod]
    void ObjectInvariant() 
    {
      Contract.Invariant(Ctxt != null);
    }

    [Rep] public readonly Dictionary<int, Absy> Label2absy;
    [Rep] public readonly ProverContext Ctxt;
    public readonly VCExpr ControlFlowVariableExpr;
    public int AssertionCount;  // counts the number of assertions for which Wlp has been computed
    public bool isPositiveContext;

    public VCContext(Dictionary<int, Absy> label2absy, ProverContext ctxt, bool isPositiveContext = true)
    {
      Contract.Requires(ctxt != null);
      this.Label2absy = label2absy;
      this.Ctxt = ctxt;
      this.isPositiveContext = isPositiveContext;
    }

    public VCContext(Dictionary<int, Absy> label2absy, ProverContext ctxt, VCExpr controlFlowVariableExpr, bool isPositiveContext = true)
    {
      Contract.Requires(ctxt != null);
      this.Label2absy = label2absy;
      this.Ctxt = ctxt;
      this.ControlFlowVariableExpr = controlFlowVariableExpr;
      this.isPositiveContext = isPositiveContext;
    }
  }

  #region A class to compute wlp of a passive command program
  
  public class Wlp
  {
    public static VCExpr Block(Block b, VCExpr N, VCContext ctxt, IList<VCExprVar> namedAssumeVars = null)
      //modifies ctxt.*;
    {
      Contract.Requires(b != null);
      Contract.Requires(N != null);
      Contract.Requires(ctxt != null);
      Contract.Ensures(Contract.Result<VCExpr>() != null);

      VCExpressionGenerator gen = ctxt.Ctxt.ExprGen;
      Contract.Assert(gen != null);
      
      VCExpr res = N;

      for (int i = b.Cmds.Count; --i >= 0; )
      {
        res = Cmd(b, cce.NonNull( b.Cmds[i]), res, ctxt, namedAssumeVars);
      }
      
      int id = b.UniqueId;
      if (ctxt.Label2absy != null) {
        ctxt.Label2absy[id] = b;
      }

      try {
        cce.BeginExpose(ctxt);
        if (ctxt.Label2absy == null) {
          return res;
        }
        else {
          return gen.Implies(gen.LabelPos(cce.NonNull(id.ToString()), VCExpressionGenerator.True), res);
        }
      } finally {
        cce.EndExpose();
      }
    }

    /// <summary>
    /// Computes the wlp for an assert or assume command "cmd".
    /// </summary>
    internal static VCExpr Cmd(Block b, Cmd cmd, VCExpr N, VCContext ctxt, IList<VCExprVar> namedAssumeVars = null) {
      Contract.Requires(cmd != null);
      Contract.Requires(N != null);
      Contract.Requires(ctxt != null);
      Contract.Ensures(Contract.Result<VCExpr>() != null);

      VCExpressionGenerator gen = ctxt.Ctxt.ExprGen;
      Contract.Assert(gen != null);
      if (cmd is AssertCmd) {
        AssertCmd ac = (AssertCmd)cmd;

        var isFullyVerified = false;
        if (ac.VerifiedUnder != null)
        {
          var litExpr = ac.VerifiedUnder as LiteralExpr;
          isFullyVerified = litExpr != null && litExpr.IsTrue;
        }

        if (!isFullyVerified)
        {
          ctxt.Ctxt.BoogieExprTranslator.isPositiveContext = !ctxt.Ctxt.BoogieExprTranslator.isPositiveContext;
        }

        VCExpr C = ctxt.Ctxt.BoogieExprTranslator.Translate(ac.Expr);

        VCExpr VU = null;
        if (!isFullyVerified)
        {
          if (ac.VerifiedUnder != null)
          {
            VU = ctxt.Ctxt.BoogieExprTranslator.Translate(ac.VerifiedUnder);

            if (CommandLineOptions.Clo.RunDiagnosticsOnTimeout)
            {
              ctxt.Ctxt.TimeoutDiagnosticIDToAssertion[ctxt.Ctxt.TimoutDiagnosticsCount] = new Tuple<AssertCmd,TransferCmd>(ac, b.TransferCmd);
              VU = gen.Or(VU, gen.Function(VCExpressionGenerator.TimeoutDiagnosticsOp, gen.Integer(BigNum.FromInt(ctxt.Ctxt.TimoutDiagnosticsCount++))));
            }
          }
          else if (CommandLineOptions.Clo.RunDiagnosticsOnTimeout)
          {
            ctxt.Ctxt.TimeoutDiagnosticIDToAssertion[ctxt.Ctxt.TimoutDiagnosticsCount] = new Tuple<AssertCmd,TransferCmd>(ac, b.TransferCmd);
            VU = gen.Function(VCExpressionGenerator.TimeoutDiagnosticsOp, gen.Integer(BigNum.FromInt(ctxt.Ctxt.TimoutDiagnosticsCount++)));
          }
          ctxt.Ctxt.BoogieExprTranslator.isPositiveContext = !ctxt.Ctxt.BoogieExprTranslator.isPositiveContext;
        }

        VCExpr R = null;
        if (CommandLineOptions.Clo.vcVariety == CommandLineOptions.VCVariety.Doomed) {
          R = gen.Implies(C, N);
        } else {
          var subsumption = Subsumption(ac);
          if (subsumption == CommandLineOptions.SubsumptionOption.Always
              || (subsumption == CommandLineOptions.SubsumptionOption.NotForQuantifiers && !(C is VCExprQuantifier)))
          {
            N = gen.ImpliesSimp(C, N, false);
          }

          if (isFullyVerified)
          {
            return N;
          }
          else if (VU != null)
          {
            C = gen.OrSimp(VU, C);
          }

          int id = ac.UniqueId;
          if (ctxt.Label2absy != null)
          {
            ctxt.Label2absy[id] = ac;
          }

          ctxt.AssertionCount++;

          if (ctxt.ControlFlowVariableExpr == null) {
            Contract.Assert(ctxt.Label2absy != null);
            R = gen.AndSimp(gen.LabelNeg(cce.NonNull(id.ToString()), C), N);
          } else {
            VCExpr controlFlowFunctionAppl = gen.ControlFlowFunctionApplication(ctxt.ControlFlowVariableExpr, gen.Integer(BigNum.FromInt(b.UniqueId)));
            Contract.Assert(controlFlowFunctionAppl != null);
            VCExpr assertFailure = gen.Eq(controlFlowFunctionAppl, gen.Integer(BigNum.FromInt(-ac.UniqueId)));
            if (ctxt.Label2absy == null) {
              R = gen.AndSimp(gen.Implies(assertFailure, C), N);
            } else {
              R = gen.AndSimp(gen.LabelNeg(cce.NonNull(id.ToString()), gen.Implies(assertFailure, C)), N);
            }
          }
        }
        return R;
      } else if (cmd is AssumeCmd) {
        AssumeCmd ac = (AssumeCmd)cmd;

        if (CommandLineOptions.Clo.StratifiedInlining > 0) {            
          // Label the assume if it is a procedure call
          NAryExpr naryExpr = ac.Expr as NAryExpr;
          if (naryExpr != null) {
            if (naryExpr.Fun is FunctionCall) {
              int id = ac.UniqueId;
              ctxt.Label2absy[id] = ac;
              return gen.ImpliesSimp(gen.LabelPos(cce.NonNull("si_fcall_" + id.ToString()), ctxt.Ctxt.BoogieExprTranslator.Translate(ac.Expr)), N);
            }
          }
        }
        var expr = ctxt.Ctxt.BoogieExprTranslator.Translate(ac.Expr);
        
        var aid = QKeyValue.FindStringAttribute(ac.Attributes, "id");
        if (aid != null && namedAssumeVars != null)
        {
          var v = gen.Variable("assume$$" + aid, Microsoft.Boogie.Type.Bool);
          namedAssumeVars.Add(v);
          expr = gen.ImpliesSimp(v, expr);
        }
        return gen.ImpliesSimp(expr, N);
      } else {
        Console.WriteLine(cmd.ToString());
        Contract.Assert(false); throw new cce.UnreachableException();  // unexpected command
      }
    }
    
    public static CommandLineOptions.SubsumptionOption Subsumption(AssertCmd ac) {
      Contract.Requires(ac != null);
      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)
    {
      Contract.Requires(r != null);
      Contract.Requires(N != null);
      Contract.Requires(ctxt != null);
      Contract.Ensures(Contract.Result<VCExpr>() != null);

      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.Count==0) 
        {
          res = N;
        } 
        else 
        {
          VCExpr currentWLP = RegExpr(cce.NonNull(ch.rs[0]), N, ctxt);
          for (int i = 1, n = ch.rs.Count; i < n; i++)
          {
            currentWLP = ctxt.Ctxt.ExprGen.And(currentWLP, RegExpr(cce.NonNull(ch.rs[i]), N, ctxt));
          }
          res = currentWLP;
        }
        return res;
      }
      else
      {
        Contract.Assert(false);throw new cce.UnreachableException();  // unexpected RE subtype
      }
    }
  }
  #endregion

}