using System; using System.Collections.Generic; using System.Linq; using System.Text; using System.Diagnostics; using Microsoft.Boogie; using Microsoft.Basetypes; namespace GPUVerify { class SetEncodingRaceInstrumenter : RaceInstrumenterBase { protected override void AddLogRaceDeclarations(Variable v, String ReadOrWrite, out IdentifierExprSeq ResetAtBarrier, out IdentifierExprSeq ModifiedAtLog) { Variable AccessSet = MakeAccessSetVariable(v, ReadOrWrite); if (CommandLineOptions.Symmetry && ReadOrWrite.Equals("READ")) { verifier.HalfDualisedVariableNames.Add(AccessSet.Name); } verifier.Program.TopLevelDeclarations.Add(AccessSet); ResetAtBarrier = new IdentifierExprSeq(new IdentifierExpr[] { new IdentifierExpr(v.tok, AccessSet) }); ModifiedAtLog = ResetAtBarrier; } private static Variable MakeAccessSetVariable(Variable v, String ReadOrWrite) { Microsoft.Boogie.Type SetType = GetAccessSetType(v); Variable AccessSet = new GlobalVariable(v.tok, new TypedIdent(v.tok, MakeAccessSetName(v, ReadOrWrite), SetType)); return AccessSet; } private static Microsoft.Boogie.Type GetAccessSetType(Variable v) { Microsoft.Boogie.Type SetType; if (v.TypedIdent.Type is MapType) { MapType mt = v.TypedIdent.Type as MapType; Debug.Assert(mt.Arguments.Length == 1); Debug.Assert(GPUVerifier.IsIntOrBv32(mt.Arguments[0])); if (mt.Result is MapType) { MapType mt2 = mt.Result as MapType; Debug.Assert(mt2.Arguments.Length == 1); Debug.Assert(GPUVerifier.IsIntOrBv32(mt2.Arguments[0])); if (mt2.Result is MapType) { MapType mt3 = mt2.Arguments[0] as MapType; Debug.Assert(mt3.Arguments.Length == 1); Debug.Assert(GPUVerifier.IsIntOrBv32(mt3.Arguments[0])); Debug.Assert(!(mt3.Result is MapType)); SetType = new MapType(mt.tok, new TypeVariableSeq(), mt.Arguments, new MapType(mt2.tok, new TypeVariableSeq(), mt2.Arguments, new MapType(mt3.tok, new TypeVariableSeq(), mt3.Arguments, Microsoft.Boogie.Type.Bool ) ) ); } else { SetType = new MapType(mt.tok, new TypeVariableSeq(), mt.Arguments, new MapType(mt2.tok, new TypeVariableSeq(), mt2.Arguments, Microsoft.Boogie.Type.Bool ) ); } } else { SetType = new MapType(mt.tok, new TypeVariableSeq(), mt.Arguments, Microsoft.Boogie.Type.Bool ); } } else { SetType = Microsoft.Boogie.Type.Bool; } return SetType; } private static string MakeAccessSetName(Variable v, String ReadOrWrite) { return "_" + ReadOrWrite + "_SET_" + v.Name; } protected override void AddLogAccessProcedure(Variable v, string ReadOrWrite) { Variable XParameterVariable; Variable YParameterVariable; Variable ZParameterVariable; Procedure LogReadOrWriteProcedure; MakeLogAccessProcedureHeader(v, ReadOrWrite, out XParameterVariable, out YParameterVariable, out ZParameterVariable, out LogReadOrWriteProcedure); LogReadOrWriteProcedure.Modifies.Add(new IdentifierExpr(v.tok, MakeAccessSetVariable(v, ReadOrWrite))); List bigblocks = new List(); CmdSeq simpleCmds = new CmdSeq(); List trueExpr = new List(new Expr[] { Expr.True }); if (v.TypedIdent.Type is MapType) { MapType mt = v.TypedIdent.Type as MapType; Debug.Assert(mt.Arguments.Length == 1); Debug.Assert(GPUVerifier.IsIntOrBv32(mt.Arguments[0])); if (mt.Result is MapType) { MapType mt2 = mt.Result as MapType; Debug.Assert(mt2.Arguments.Length == 1); Debug.Assert(GPUVerifier.IsIntOrBv32(mt2.Arguments[0])); if (mt2.Result is MapType) { MapType mt3 = mt2.Arguments[0] as MapType; Debug.Assert(mt3.Arguments.Length == 1); Debug.Assert(GPUVerifier.IsIntOrBv32(mt3.Arguments[0])); Debug.Assert(!(mt3.Result is MapType)); simpleCmds.Add( new AssignCmd(v.tok, new List(new AssignLhs[] { new MapAssignLhs(v.tok, new MapAssignLhs(v.tok, new MapAssignLhs(v.tok, new SimpleAssignLhs(v.tok, new IdentifierExpr(v.tok, MakeAccessSetVariable(v, ReadOrWrite))) , new List(new Expr[] { new IdentifierExpr(v.tok, ZParameterVariable) })) , new List(new Expr[] { new IdentifierExpr(v.tok, YParameterVariable) })) , new List(new Expr[] { new IdentifierExpr(v.tok, XParameterVariable) })) }), trueExpr)); } else { simpleCmds.Add( new AssignCmd(v.tok, new List(new AssignLhs[] { new MapAssignLhs(v.tok, new MapAssignLhs(v.tok, new SimpleAssignLhs(v.tok, new IdentifierExpr(v.tok, MakeAccessSetVariable(v, ReadOrWrite))) , new List(new Expr[] { new IdentifierExpr(v.tok, YParameterVariable) })) , new List(new Expr[] { new IdentifierExpr(v.tok, XParameterVariable) })) }), trueExpr)); } } else { simpleCmds.Add( new AssignCmd(v.tok, new List(new AssignLhs[] { new MapAssignLhs(v.tok, new SimpleAssignLhs(v.tok, new IdentifierExpr(v.tok, MakeAccessSetVariable(v, ReadOrWrite))) , new List(new Expr[] { new IdentifierExpr(v.tok, XParameterVariable) })) }), trueExpr)); } } else { simpleCmds.Add(new AssignCmd(v.tok, new List(new AssignLhs[] { new SimpleAssignLhs(v.tok, new IdentifierExpr(v.tok, MakeAccessSetVariable(v, ReadOrWrite))) }), trueExpr)); } bigblocks.Add(new BigBlock(v.tok, "_LOG_" + ReadOrWrite + "", simpleCmds, null, null)); StmtList statements = new StmtList(bigblocks, v.tok); Implementation LogReadOrWriteImplementation = new Implementation(v.tok, "_LOG_" + ReadOrWrite + "_" + v.Name, new TypeVariableSeq(), LogReadOrWriteProcedure.InParams, new VariableSeq(), new VariableSeq(), statements); LogReadOrWriteImplementation.AddAttribute("inline", new object[] { new LiteralExpr(v.tok, BigNum.FromInt(1)) }); LogReadOrWriteImplementation.Proc = LogReadOrWriteProcedure; verifier.Program.TopLevelDeclarations.Add(LogReadOrWriteProcedure); verifier.Program.TopLevelDeclarations.Add(LogReadOrWriteImplementation); } protected override void SetNoAccessOccurred(IToken tok, BigBlock bb, Variable v, string AccessType) { IdentifierExpr AccessSet1 = new IdentifierExpr(tok, new VariableDualiser(1, null, null).VisitVariable( MakeAccessSetVariable(v, AccessType))); IdentifierExprSeq VariablesToHavoc = new IdentifierExprSeq(); VariablesToHavoc.Add(AccessSet1); if (!CommandLineOptions.Symmetry || !AccessType.Equals("READ")) { IdentifierExpr AccessSet2 = new IdentifierExpr(tok, new VariableDualiser(2, null, null).VisitVariable( MakeAccessSetVariable(v, AccessType))); VariablesToHavoc.Add(AccessSet2); } bb.simpleCmds.Add(new HavocCmd(tok, VariablesToHavoc)); AddAssumeNoAccess(bb, v, AccessType); } public override void CheckForRaces(BigBlock bb, Variable v, bool ReadWriteOnly) { if (!ReadWriteOnly) { AddRaceCheck(bb, v, "WRITE", "WRITE"); } AddRaceCheck(bb, v, "READ", "WRITE"); if (!CommandLineOptions.Symmetry) { AddRaceCheck(bb, v, "WRITE", "READ"); } } private static Microsoft.Boogie.Type GetIndexType(Variable v, int index) { Debug.Assert(index == 1 || index == 2 || index == 3); Debug.Assert(v.TypedIdent.Type is MapType); MapType mt = v.TypedIdent.Type as MapType; Debug.Assert(mt.Arguments.Length == 1); Debug.Assert(GPUVerifier.IsIntOrBv32(mt.Arguments[0])); if (index == 1) { return mt.Arguments[0]; } Debug.Assert(mt.Result is MapType); MapType mt2 = mt.Result as MapType; Debug.Assert(mt2.Arguments.Length == 1); Debug.Assert(GPUVerifier.IsIntOrBv32(mt2.Arguments[0])); if (index == 2) { return mt2.Arguments[0]; } Debug.Assert(mt2.Result is MapType); MapType mt3 = mt2.Arguments[0] as MapType; Debug.Assert(mt3.Arguments.Length == 1); Debug.Assert(GPUVerifier.IsIntOrBv32(mt3.Arguments[0])); Debug.Assert(!(mt3.Result is MapType)); Debug.Assert(index == 3); return mt3.Arguments[0]; } private void AddRaceCheck(BigBlock bb, Variable v, String Access1, String Access2) { Expr AssertExpr = GenerateRaceCondition(v, Access1, Access2); bb.simpleCmds.Add(new AssertCmd(v.tok, AssertExpr)); } protected override Expr GenerateRaceCondition(Variable v, String Access1, String Access2) { VariableSeq DummyVars1; Expr SetExpr1 = AccessExpr(v, Access1, 1, out DummyVars1); VariableSeq DummyVars2; Expr SetExpr2 = AccessExpr(v, Access2, 2, out DummyVars2); Debug.Assert(DummyVars1.Length == DummyVars2.Length); for (int i = 0; i < DummyVars1.Length; i++) { Debug.Assert(DummyVars1[i].Name.Equals(DummyVars2[i].Name)); } Expr AssertExpr = Expr.And(SetExpr1, SetExpr2); if (Access1.Equals("WRITE") && Access2.Equals("WRITE") && !CommandLineOptions.FullAbstraction) { VariableSeq DummyVarsAccess1; VariableSeq DummyVarsAccess2; Expr IndexExpr1 = QuantifiedIndexExpr(v, new VariableDualiser(1, null, null).VisitVariable(v.Clone() as Variable), out DummyVarsAccess1); Expr IndexExpr2 = QuantifiedIndexExpr(v, new VariableDualiser(2, null, null).VisitVariable(v.Clone() as Variable), out DummyVarsAccess2); Debug.Assert(DummyVarsAccess1.Length == DummyVarsAccess2.Length); Debug.Assert(DummyVars1.Length == DummyVarsAccess1.Length); for (int i = 0; i < DummyVars1.Length; i++) { Debug.Assert(DummyVarsAccess1[i].Name.Equals(DummyVarsAccess2[i].Name)); Debug.Assert(DummyVars1[i].Name.Equals(DummyVarsAccess1[i].Name)); } AssertExpr = Expr.And(AssertExpr, Expr.Neq(IndexExpr1, IndexExpr2)); } AssertExpr = Expr.Not(AssertExpr); if (DummyVars1.Length > 0) { AssertExpr = new ForallExpr(v.tok, DummyVars1, AssertExpr); } return AssertExpr; } private static void SetNameDeep(IdentifierExpr e, string name) { e.Name = e.Decl.Name = e.Decl.TypedIdent.Name = name; } private static LocalVariable MakeDummy(Variable v, int index) { return new LocalVariable(v.tok, new TypedIdent(v.tok, "__dummy", GetIndexType(v, index))); } private static void AddAssumeNoAccess(BigBlock bb, Variable v, String AccessType) { bb.simpleCmds.Add(new AssumeCmd(v.tok, NoAccessExpr(v, AccessType, 1))); if (!CommandLineOptions.Symmetry || !AccessType.Equals("READ")) { bb.simpleCmds.Add(new AssumeCmd(v.tok, NoAccessExpr(v, AccessType, 2))); } } private static Expr NoAccessExpr(Variable v, String AccessType, int Thread) { VariableSeq DummyVars; Expr result = AccessExpr(v, AccessType, Thread, out DummyVars); result = Expr.Not(result); if (DummyVars.Length > 0) { result = new ForallExpr(v.tok, DummyVars, result); } return result; } private static Expr AccessExpr(Variable v, String AccessType, int Thread, out VariableSeq DummyVars) { return QuantifiedIndexExpr(v, new VariableDualiser(Thread, null, null).VisitVariable(MakeAccessSetVariable(v, AccessType)), out DummyVars); } private static Expr QuantifiedIndexExpr(Variable v, Variable AccessSetVariable, out VariableSeq DummyVars) { DummyVars = new VariableSeq(); Expr result = new IdentifierExpr(v.tok, AccessSetVariable); if (v.TypedIdent.Type is MapType) { IdentifierExprSeq DummyIdentifierExprs = new IdentifierExprSeq(); MapType mt = v.TypedIdent.Type as MapType; Debug.Assert(mt.Arguments.Length == 1); Debug.Assert(GPUVerifier.IsIntOrBv32(mt.Arguments[0])); DummyVars.Add(MakeDummy(v, 1)); DummyIdentifierExprs.Add(new IdentifierExpr(v.tok, DummyVars[0])); result = Expr.Select(result, new Expr[] { DummyIdentifierExprs[0] }); if (mt.Result is MapType) { MapType mt2 = mt.Result as MapType; Debug.Assert(mt2.Arguments.Length == 1); Debug.Assert(GPUVerifier.IsIntOrBv32(mt2.Arguments[0])); DummyVars.Add(MakeDummy(v, 2)); DummyIdentifierExprs.Add(new IdentifierExpr(v.tok, DummyVars[1])); result = Expr.Select(result, new Expr[] { DummyIdentifierExprs[1] }); if (mt2.Result is MapType) { MapType mt3 = mt2.Arguments[0] as MapType; Debug.Assert(mt3.Arguments.Length == 1); Debug.Assert(GPUVerifier.IsIntOrBv32(mt3.Arguments[0])); Debug.Assert(!(mt3.Result is MapType)); DummyVars.Add(MakeDummy(v, 3)); DummyIdentifierExprs.Add(new IdentifierExpr(v.tok, DummyVars[2])); result = Expr.Select(result, new Expr[] { DummyIdentifierExprs[2] }); SetNameDeep(DummyIdentifierExprs[0], "__z"); SetNameDeep(DummyIdentifierExprs[1], "__y"); SetNameDeep(DummyIdentifierExprs[2], "__x"); } else { SetNameDeep(DummyIdentifierExprs[0], "__y"); SetNameDeep(DummyIdentifierExprs[1], "__x"); } } else { SetNameDeep(DummyIdentifierExprs[0], "__x"); } } return result; } private static Expr NoAccess0DExpr(IToken tok, Variable v, String AccessType, int Thread) { return Expr.Not(new IdentifierExpr(tok, new VariableDualiser(Thread, null, null).VisitVariable(MakeAccessSetVariable(v, AccessType)))); } protected override void AddRequiresNoPendingAccess(Variable v) { verifier.KernelProcedure.Requires.Add(new Requires(false, NoAccessExpr(v, "WRITE", 1))); verifier.KernelProcedure.Requires.Add(new Requires(false, NoAccessExpr(v, "WRITE", 2))); verifier.KernelProcedure.Requires.Add(new Requires(false, NoAccessExpr(v, "READ", 1))); if(!CommandLineOptions.Symmetry) { verifier.KernelProcedure.Requires.Add(new Requires(false, NoAccessExpr(v, "READ", 2))); } } protected override void AddNoReadOrWriteCandidateInvariant(WhileCmd wc, Variable v, string ReadOrWrite, string OneOrTwo) { verifier.AddCandidateInvariant(wc, NoReadOrWriteExpr(v, ReadOrWrite, OneOrTwo)); } protected override Expr NoReadOrWriteExpr(Variable v, string ReadOrWrite, string OneOrTwoString) { return NoAccessExpr(v, ReadOrWrite, Int32.Parse(OneOrTwoString)); } protected override void AddReadOrWrittenOffsetIsThreadIdCandidateInvariant(WhileCmd wc, Variable v, string ReadOrWrite, int Thread) { Expr expr = AccessOnlyAtThreadId(v, ReadOrWrite, Thread); if (expr != null) { verifier.AddCandidateInvariant(wc, expr); } } private Expr AccessOnlyAtThreadId(Variable v, string ReadOrWrite, int Thread) { VariableSeq Dummies; Expr Access = AccessExpr(v, ReadOrWrite, Thread, out Dummies); if (Dummies.Length == 0) { return null; } Expr ImplicationLhs; if (Dummies.Length == 1) { ImplicationLhs = Expr.Neq(new IdentifierExpr(v.tok, Dummies[0]), new IdentifierExpr(v.tok, verifier.MakeThreadId(v.tok, "X", Thread))); } else if (Dummies.Length == 2) { if (!verifier.KernelHasIdY()) { return null; } ImplicationLhs = Expr.Or( Expr.Neq(new IdentifierExpr(v.tok, Dummies[1]), new IdentifierExpr(v.tok, verifier.MakeThreadId(v.tok, "X", Thread))), Expr.Neq(new IdentifierExpr(v.tok, Dummies[0]), new IdentifierExpr(v.tok, verifier.MakeThreadId(v.tok, "Y", Thread))) ); } else { Debug.Assert(Dummies.Length == 3); if (!verifier.KernelHasIdZ()) { return null; } ImplicationLhs = Expr.Or( Expr.Or( Expr.Neq(new IdentifierExpr(v.tok, Dummies[2]), new IdentifierExpr(v.tok, verifier.MakeThreadId(v.tok, "X", Thread))), Expr.Neq(new IdentifierExpr(v.tok, Dummies[1]), new IdentifierExpr(v.tok, verifier.MakeThreadId(v.tok, "Y", Thread))) ), Expr.Neq(new IdentifierExpr(v.tok, Dummies[0]), new IdentifierExpr(v.tok, verifier.MakeThreadId(v.tok, "Z", Thread))) ); } return new ForallExpr(v.tok, Dummies, Expr.Imp(ImplicationLhs, Expr.Not(Access))); } protected override void AddReadOrWrittenOffsetIsThreadIdCandidateRequires(Procedure Proc, Variable v, string ReadOrWrite, int Thread) { Expr expr = AccessOnlyAtThreadId(v, ReadOrWrite, Thread); if (expr != null) { verifier.AddCandidateRequires(Proc, expr); } } protected override void AddReadOrWrittenOffsetIsThreadIdCandidateEnsures(Procedure Proc, Variable v, string ReadOrWrite, int Thread) { Expr expr = AccessOnlyAtThreadId(v, ReadOrWrite, Thread); if (expr != null) { verifier.AddCandidateEnsures(Proc, expr); } } } }