public CompilerResults Compile()
{
var exitval = DafnyDriver.ProcessCommandLineArguments(CompilationArgs, out var dafnyFiles, out var otherFiles);
if (!PerformPreliminaryChecks(exitval, out var errorneousCompileResults))
{
return(errorneousCompileResults);
}
TextWriter tw = new StringWriter();
Type.ResetScopes();
int oldErrorCount = Dp.reporter.Count(ErrorLevel.Error);
DafnyDriver.CompileDafnyProgram(Dp, Path, otherFiles.AsReadOnly(), true, tw);
int newErrorCount = Dp.reporter.Count(ErrorLevel.Error);
if (oldErrorCount != newErrorCount)
{
return(ExtractError(oldErrorCount));
}
bool hasMain = new Microsoft.Dafny.CsharpCompiler(Dp.reporter).HasMain(Dp, out _);
return(new CompilerResults
{
Error = false,
Executable = hasMain,
Message = tw.ToString().TrimEnd('\r', '\n')
});
}
public Type AppType(Type t)
{
Util.Assert(t != null);
return(Resolver.SubstType(t, typeArgs));
}
public void AddTypeWellFormed(List <RtlExp> specs, RtlExp exp, bool isGhost, Type t, List <UserDefinedType> recs)
{
UserDefinedType ut = t as UserDefinedType;
if (minVerify && !isGhost && t is IntType)
{
specs.Add(new RtlApply("word", new RtlExp[] { exp }));
return;
}
if (t is NatType)
{
specs.Add(new RtlBinary(">=", exp, new RtlInt(0)));
}
if (ut != null && ut.AsDatatype != null &&
recs.TrueForAll(r => ut.Name != r.Name)
)
{
recs.Add(ut);
foreach (var ctor in ut.AsDatatype.Ctors)
{
List <RtlExp> cspecs = new List <RtlExp>();
foreach (var f in ctor.Formals)
{
AddTypeWellFormed(cspecs, new RtlLiteral(f.Name + "#" + ctor.Name + "(" + exp + ")"),
isGhost, f.Type, recs);
}
foreach (var spec in cspecs)
{
specs.Add(new RtlLiteral("((" + exp + ") is " + ctor.Name + " ==> (" + spec + "))"));
}
}
recs.RemoveAt(recs.Count - 1);
}
}
public static string IntToTyped(Type t, string e)
{
return
((t is BoolType) ? "((" + e + ") != 0)" :
(t is RealType) ? "(real(" + e + "))" :
e);
}
public Type AppType(Type t)
{
Util.Assert(t != null);
return Resolver.SubstType(t, typeArgs);
}
public LemmaCall(string module, Type type, string stmt, bool loopLemma)
{
this.module = module;
this.type = type;
this.stmt = stmt;
this.loopLemma = loopLemma;
}
public Tuple <Function, TypeApply> GetSeqOperation(Type t, string op)
{
Function f = FindFunction(op);
TypeApply tApp = Compile_SeqType((SeqType)t);
return(Tuple.Create(f, Compile_Function(f, tApp.typeArgs)));
}
public string GetSeqOperationName(Type t, string op)
{
TypeApply tApp = Compile_SeqType((SeqType)t);
TypeApply fApp = Compile_Function(FindFunction(op), tApp.typeArgs);
return(FunName(SimpleName(GetSeqOperation(t, op).Item2.AppName())));
}
public Tuple <Method, TypeApply> GetSeqMethod(Type t, string op)
{
Method m = FindMethod(op);
TypeApply tApp = Compile_SeqType((SeqType)t);
return(Tuple.Create(m, Compile_Method(m, tApp.typeArgs)));
}
public LemmaCall(string module, Type type, string stmt, bool loopLemma)
{
this.module = module;
this.type = type;
this.stmt = stmt;
this.loopLemma = loopLemma;
}
public Type StartTypeArg(Attributes attrs)
{
Type prev = DafnySpec.defaultPolyType;
for (var a = attrs; a != null; a = a.Prev)
{
if (a.Name == "typearg")
{
string s = a.Args[0].S;
switch (s)
{
case "int": DafnySpec.defaultPolyType = Type.Int; break;
case "bool": DafnySpec.defaultPolyType = Type.Bool; break;
case "real": DafnySpec.defaultPolyType = Type.Real; break;
default:
if (typeApply.typeSubsts.ContainsKey(s))
{
DafnySpec.defaultPolyType = typeApply.typeSubsts[s];
}
else
{
throw new Exception("not implemented: StartTypeArg: " + s);
}
break;
}
break;
}
}
return(prev);
}
public void AddGhostStatement(Statement stmt)
{
Util.Assert(!isPrinting);
stmts.Add(new RtlComment("###LINE: " + stmt.Tok.filename + ": " + stmt.Tok.line));
List <Statement> resolved = ResolveStmt(stmt);
if (resolved != null)
{
UpdateStmt u = stmt as UpdateStmt;
if (u != null)
{
Type oldDefault = StartTypeArg(u.Rhss[0].Attributes);
resolved.ForEach(AddGhostStatement);
DafnySpec.defaultPolyType = oldDefault;
}
else
{
resolved.ForEach(AddGhostStatement);
}
}
else
{
AddResolvedGhostStatement(stmt);
}
}
public RtlExp GhostExpression(Expression exp, bool inRecSpec = false, bool inRequiresOrOld = false,
Attributes attrs = null)
{
Type oldDefault = StartTypeArg(attrs);
var e = GhostExpressionRec(exp, inRecSpec, inRequiresOrOld);
DafnySpec.defaultPolyType = oldDefault;
return(e);
}
public static IdentifierExpr MakeIdentifierExpr(string name, Type type, bool isGhost)
{
Util.Assert(type != null);
IdentifierExpr id = new IdentifierExpr(Bpl.Token.NoToken, name);
id.Type = type;
id.Var = new LocalVariable(Bpl.Token.NoToken, Bpl.Token.NoToken, name, type, isGhost);
return(id);
}
// REVIEW: is this receiving the correct typeArgs?
public TypeApply Compile_Constructor(Type t, string constructor, Dictionary <TypeParameter, Type> typeArgs)
{
UserDefinedType ut = (UserDefinedType)t;
Dictionary <string, TypeParameter> substArgs = new Dictionary <string, TypeParameter>();
ut.AsDatatype.TypeArgs.ForEach(tt => substArgs.Add(tt.Name, tt));
typeArgs = typeArgs.ToDictionary(p => substArgs[p.Key.Name], p => p.Value);
return(new TypeApply(this, constructor, ut.AsDatatype.TypeArgs, typeArgs));
}
private void IsDatatype(Statement st, ref List <Solution> solution_list)
{
List <Expression> call_arguments = null;
IVariable lv = null;
IVariable declaration = null;
Dafny.LiteralExpr lit = null;
Dafny.Type type = null;
InitArgs(st, out lv, out call_arguments);
Contract.Assert(tcce.OfSize(call_arguments, 1), Util.Error.MkErr(st, 0, 1, call_arguments.Count));
NameSegment argument = call_arguments[0] as NameSegment;
Contract.Assert(argument != null, Util.Error.MkErr(st, 1, typeof(NameSegment)));
declaration = GetLocalValueByName(argument) as IVariable;
Contract.Assert(declaration != null, Util.Error.MkErr(st, 1, typeof(IVariable)));
if (declaration.Type == null)
{
type = globalContext.GetVariableType(declaration.Name);
}
else
{
type = declaration.Type;
}
// type of the argument is unknown thus it's not a datatype
if (type != null && type.IsDatatype)
{
lit = new Dafny.LiteralExpr(st.Tok, true);
}
else
{
// check if the argument is a nested data type
Dafny.UserDefinedType udt = type as Dafny.UserDefinedType;
if (udt != null)
{
if (globalContext.datatypes.ContainsKey(udt.Name))
{
lit = new Dafny.LiteralExpr(st.Tok, true);
}
else
{
lit = new Dafny.LiteralExpr(st.Tok, false);
}
}
else
{
lit = new Dafny.LiteralExpr(st.Tok, false);
}
}
Contract.Assert(lit != null);
localContext.AddLocal(lv, lit);
}
public string TypeString(Type t)
{
t = ToType(t);
MapType mt = t as MapType;
UserDefinedType ut = t as UserDefinedType;
SeqType seq = t as SeqType;
if (t is BoolType)
{
return("bool");
}
else if (t is IntType)
{
return("int");
}
else if (t is RealType)
{
return("real");
}
else if (mt != null)
{
return("[" + TypeString(mt.Domain) + "]" + TypeString(mt.Range));
}
else if (ut != null && ut.AsDatatype != null)
{
return(Compile_Datatype(ut).AppName());
}
else if (ut != null && ut.Name == "array")
{
if (!(ToType(ut.TypeArgs[0]) is IntType) || ToType(ut.TypeArgs[0]) is NatType)
{
throw new Exception("not implemented: arrays of non-int types: " + ToType(ut.TypeArgs[0]));
}
return("ArrayOfInt");
}
else if (ut != null && ut.Name == "INTERNAL_AbsMem")
{
return("[int][int]int");
}
else if (ut != null && ut.Name == "INTERNAL_ArrayElems")
{
return("[int]int");
}
else if (ut != null && !ut.IsTypeParameter)
{
return(ut.Name);
}
else if (seq != null)
{
return(Compile_SeqType(seq).AppName());
}
else
{
throw new Exception("not implemented: " + t + ": " + t.GetType());
}
}
public static BinaryExpr MakeBinaryExpr(BinaryExpr.Opcode op,
BinaryExpr.ResolvedOpcode rop, Type t, Expression e0, Expression e1)
{
Util.Assert(t != null && e0.Type != null && e1.Type != null);
BinaryExpr e = new BinaryExpr(e0.tok, op, e0, e1);
e.ResolvedOp = rop;
e.Type = t;
return(e);
}
//- Assert that et is a well-formed value of type t, represented by integer ei
public static RtlExp IntEqTyped(Type t, RtlExp et, RtlExp ei)
{
return
((t is BoolType) ?
new RtlBinary("||",
new RtlBinary("&&", et, new RtlBinary("==", ei, new RtlInt(1))),
new RtlBinary("&&", new RtlApply("!", new RtlExp[] { et }), new RtlBinary("==", ei, new RtlInt(0)))) :
(t is RealType) ? new RtlBinary("==", et, new RtlApply("real", new RtlExp[] { ei })) :
new RtlBinary("==", et, ei));
}
public static Microsoft.Dafny.Type[] getTypes(List <Microsoft.Dafny.Expression> expressions)
{
Microsoft.Dafny.Type[] Types = new Microsoft.Dafny.Type[expressions.Count];
int index = 0;
foreach (var x in expressions)
{
Types[index++] = x.Type;
}
return(Types);
}
public RtlVar TempVar(Type t, bool declare = true)
{
string name = "$ghost__" + TempName();
RtlVar ret = new RtlVar(name, false, AppType(t));
if (declare)
{
allVars.Add(name, ret);
}
return(ret);
}
public void AddGhostVarDecl(string varName, Type t, bool isGhost)
{
string name = GhostVar(varName);
if (allVars.ContainsKey(name) || forallVars.Exists(d => d.ContainsKey(name)))
{
AddRename(varName);
name = GhostVar(varName);
}
var dict = (forallVars.Count == 0) ? allVars : forallVars[forallVars.Count - 1];
dict.Add(name, new RtlVar(name, isGhost, AppType(t)));
}
static void FrameExprRegions(FrameExpression fe, List <IdRegion> regions, bool descendIntoExpressions, ModuleDefinition module)
{
Contract.Requires(fe != null);
Contract.Requires(regions != null);
if (descendIntoExpressions)
{
ExprRegions(fe.E, regions, module);
}
if (fe.Field != null)
{
Microsoft.Dafny.Type showType = null; // TODO: if we had the instantiated type of this field, that would have been nice to use here (but the Resolver currently does not compute or store the instantiated type for a FrameExpression)
IdRegion.Add(regions, fe.tok, fe.Field, showType, "field", false, module);
}
}
public static Type ToType(Type t)
{
TypeProxy proxy = t as TypeProxy;
if (proxy != null && proxy.T == null)
{
return(defaultPolyType); //- pick arbitrary type
}
if (proxy != null)
{
return(ToType(proxy.T));
}
return(t);
}
public static Type ToType(Type t)
{
TypeProxy proxy = t as TypeProxy;
if (proxy != null && proxy.T == null)
{
Util.Assert(false); // Dafny appears to be doing sane type resolution now
return(defaultPolyType); //- pick arbitrary type
}
if (proxy != null)
{
return(ToType(proxy.T));
}
return(t);
}
void FrameExprRegions(FrameExpression fe, List <IdRegion> regions, bool descendIntoExpressions, Microsoft.Dafny.Program prog, ModuleDefinition module)
{
Contract.Requires(fe != null);
Contract.Requires(regions != null);
Contract.Requires(prog != null);
if (descendIntoExpressions)
{
ExprRegions(fe.E, regions, prog, module);
}
if (fe.Field != null)
{
Microsoft.Dafny.Type showType = null; // TODO: if we had the instantiated type of this field, that would have been nice to use here (but the Resolver currently does not compute or store the instantiated type for a FrameExpression)
var kind = !(fe.Field is ConstantField) ? "field" : fe.Field.IsStatic && !(fe.Field.EnclosingClass is DefaultClassDecl) ? "static const" : "const";
IdRegion.Add(regions, prog, fe.tok, fe.Field, showType, kind, false, module);
RecordUseAndDef(prog, fe.tok, fe.Field.Name.Length, fe.Field.tok);
}
}
private IdRegion(Bpl.IToken tok, Field decl, Microsoft.Dafny.Type showType, string kind, bool isDefinition, ModuleDefinition context)
{
Contract.Requires(tok != null);
Contract.Requires(decl != null);
Contract.Requires(kind != null);
if (showType == null)
{
showType = decl.Type;
}
Start = tok.pos;
Length = decl.Name.Length;
HoverText = string.Format("({4}{2}{3}) {0}: {1}", decl.FullNameInContext(context), showType.TypeName(context),
decl.IsGhost ? "ghost " : "",
kind,
decl.IsUserMutable || decl is DatatypeDestructor ? "" : decl.IsMutable ? " non-assignable " : "immutable ");
Kind = !isDefinition ? OccurrenceKind.Use : OccurrenceKind.Definition;
}
public bool TrustedType(Type t)
{
SeqType seq = t as SeqType;
UserDefinedType ut = t as UserDefinedType;
if (seq != null)
{
return(TrustedType(seq.Arg));
}
else if (ut != null)
{
return(IsSpecFile(ut.AsDatatype.tok.filename) && TrustedType(ut.TypeArgs));
}
else
{
return(true);
}
}
private IdRegion(Bpl.IToken tok, Field decl, Microsoft.Dafny.Type showType, string kind, bool isDefinition, ModuleDefinition context)
{
Contract.Requires(tok != null);
Contract.Requires(decl != null);
Contract.Requires(kind != null);
if (showType == null)
{
showType = decl.Type;
}
Start = tok.pos;
Length = decl.Name.Length;
var name = decl.EnclosingClass != null && !(decl.EnclosingClass is DefaultClassDecl) ? decl.FullNameInContext(context) : decl.Name; // some built-in members like "Keys" may not have an .EnclosingClass
HoverText = string.Format("({4}{2}{3}) {0}: {1}", name, showType.TypeName(context),
decl.IsGhost ? "ghost " : "",
kind,
decl.IsUserMutable || decl is ConstantField || decl is DatatypeDestructor ? "" : decl.IsMutable ? " non-assignable " : "immutable ");
Kind = !isDefinition ? OccurrenceKind.Use : OccurrenceKind.Definition;
}
public TypeApply Compile_Constructor(Type t, string constructor, List <Type> dataTypeArgs,
Dictionary <TypeParameter, Type> typeArgs)
{
UserDefinedType ut = (UserDefinedType)t;
if (dataTypeArgs == null)
{
dataTypeArgs = ut.TypeArgs;
}
Util.Assert(ut.AsDatatype.TypeArgs.Count == dataTypeArgs.Count);
Dictionary <TypeParameter, Type> typeMap = new Dictionary <TypeParameter, Type>();
for (int i = 0; i < dataTypeArgs.Count; i++)
{
typeMap.Add(ut.AsDatatype.TypeArgs[i],
Resolver.SubstType(dataTypeArgs[i], typeArgs));
}
return(new TypeApply(this, constructor, ut.AsDatatype.TypeArgs, typeMap));
}
public void CompileDatatype1Ghost(Type t, TypeApply app, TextWriter writer, TextWriter iwriter)
{
// type List = Nil() | Cons(hd:int, tl:List);
string dataName = app.AppName(); // List
List <DatatypeCtor> ctors = compileDatatypes[app].AsDatatype.Ctors;
bool isSeq = dataName.StartsWith("Seq_");
if (isSeq)
{
iwriter.WriteLine("type " + dataName + ";");
}
(isSeq ? writer : iwriter).WriteLine(
"type " + (isSeq ? "implementation" : "") + "{:overload} " + dataName + " = "
+ String.Join(" | ", ctors.Select(c => Compile_Constructor(t, c.Name, app.typeArgs).AppName() + "("
+ String.Join(", ", c.Formals.Select(f => f.Name + ":" + TypeString(app.AppType(f.Type))))
+ ")")) + ";");
if (isSeq)
{
foreach (var c in ctors)
{
string cName = Compile_Constructor(t, c.Name, app.typeArgs).AppName();
string args = String.Join(", ", c.Formals.Select(f => f.Name));
string parms = String.Join(", ", c.Formals.Select(f => f.Name + ":"
+ TypeString(app.AppType(f.Type))));
iwriter.WriteLine("function _" + cName + "(" + parms + "):" + dataName + ";");
writer.WriteLine("function implementation _" + cName + "(" + parms + "):"
+ dataName + " { " + cName + "(" + args + ") }");
foreach (var f in c.Formals)
{
string tName = TypeString(app.AppType(f.Type));
iwriter.WriteLine("function " + f.Name + "_" + cName + "(x:" + dataName
+ "):" + tName + ";");
writer.WriteLine("function implementation " + f.Name + "_" + cName + "(x:" + dataName
+ "):" + tName + " { " + f.Name + "#" + cName + "(x) }");
}
iwriter.WriteLine("function is_" + cName + "(x:" + dataName + "):bool;");
writer.WriteLine("function implementation is_" + cName + "(x:" + dataName
+ "):bool { x is " + cName + " }");
}
}
}
public string DecreasesExp(ICallable target)
{
Util.Assert(!isPrinting);
Expression decrease;
if (target.Decreases.Expressions.Count == 0 && target.Ins.Count > 0)
{
decrease = DafnySpec.MakeIdentifierExpr(target.Ins[0].Name, target.Ins[0].Type,
target.Ins[0].IsGhost);
}
else if (target.Decreases.Expressions.Count == 1)
{
decrease = target.Decreases.Expressions[0];
}
else if (target.Decreases.Expressions.Count > 1)
{
decrease = target.Decreases.Expressions[0];
}
else
{
throw new Exception("recursive methods must have at least one parameter or supply a decreases clause");
}
Type decreaseType = AppType(decrease.Type);
if (decreaseType.AsDatatype != null)
{
return("sizeof##" + TypeString(decreaseType) + "(" + GhostExpression(decrease) + ")");
}
else if (decreaseType is SeqType)
{
return(new RtlApply(dafnySpec.GetSeqOperationName(decreaseType, "Seq_Length"),
new RtlExp[] { GhostExpression(decrease) }).ToString());
}
else if (decreaseType.Equals(Type.Int))
{
return(GhostExpression(decrease).ToString());
}
else
{
throw new Exception("decreases clauses must be an integer or datatype");
}
}
public Type AppType(Type t) { return typeApply.AppType(t); }
void CompileDatatype2(Type t, TypeApply app)
{
string dataName = app.AppName();
string suffix = dataName.Substring(((UserDefinedType)t).Name.Length);
bool isSeq = dataName.StartsWith("Seq_");
string lemma = isSeq ? "call proc_Seq__Cons__All" + suffix + "();" : "";
TextWriter iwriter = heapIWriter;
List<DatatypeCtor> ctors = compileDatatypes[app].AsDatatype.Ctors;
Func<string,string> dataIs = c => isSeq ? ("is_" + c + "(data)") : ("data is " + c);
string tags = String.Join(" || ", ctors.Select(c =>
"(r.regs[x] == Tag_" + dataName + "_" + c.Name + " && " + dataIs(
Compile_Constructor(t, c.Name, app.typeArgs).AppName()) + ")"));
iwriter.WriteLine(loadTagDecl(dataName, tags));
heapWriter.WriteLine("implementation loadTag_" + dataName
+ "(my r_old:regs, const my core_state:core_state, const linear stk:mem, const linear statics:mem, const linear io:IOState, linear mems_old:mems, $commonVars:commonVars, $gcVars:gcVars, $toAbs:[int]int, $absMem:[int][int]int, $stacksFrames:[int]Frames, objLayouts:[int]ObjLayout, heap:Heap, x:int, y:opn_mem, data:"
+ dataName + ", abs:int, obj:int)");
heapWriter.WriteLine(" returns(my r:regs, linear mems:mems)");
heapWriter.WriteLine("{");
heapWriter.WriteLine(" assert THeapValue(objLayouts, true, $toAbs, obj, abs);");
heapWriter.WriteLine(" assert THeapInv($absMem, objLayouts, heap);");
heapWriter.WriteLine(" " + lemma);
heapWriter.WriteLine(" call r, mems := gcLoadField(r_old, core_state, stk, statics, io, mems_old,");
heapWriter.WriteLine(" $commonVars, $gcVars, $absMem, $toAbs, $stacksFrames, objLayouts,");
heapWriter.WriteLine(" x, y, obj - 4, 2);");
heapWriter.WriteLine("}");
foreach (var ctor in ctors)
{
var ints = ctor.Formals.Where(x => !IsPtrType(app.AppType(x.Type))).ToList();
var ptrs = ctor.Formals.Where(x => IsPtrType(app.AppType(x.Type))).ToList();
var sorted = ints.Concat(ptrs).ToList();
string ctorName = Compile_Constructor(t, ctor.Name, app.typeArgs).AppName();
string cons = isSeq ? ("_" + ctorName) : ctorName;
string parms = String.Join(", ", ctor.Formals.Select(
c => "arg_" + c.Name + ":" + TypeString(app.AppType(c.Type))));
string args = String.Join(", ", ctor.Formals.Select(c => "arg_" + c.Name));
int argRetSize = 4 + 4 * Math.Max(ints.Count, ptrs.Count);
heapIWriter.WriteLine("const stack_size__DafnyCC__Proc_Alloc_" + ctorName + ":int := 256;");
iwriter.WriteLine(allocDecl1(
dataName,
ctorName,
cons,
parms,
args,
argRetSize.ToString()));
string triggers = (IPSize == 8) ? String.Format("{0} && {1}", GcTO64(1), GcTO(3)) : GcTO(1);
for (int i = 0; i < ints.Count; i++)
{
string val = "stk_old.map[r_old.regs[ESP] + "
+ (IPSize + 4 * i) + "]";
iwriter.WriteLine("requires " + CompileBase.IntEqTyped(app.AppType(ints[i].Type), "arg_" + ints[i].Name, val) + ";");
triggers += String.Format(" && {0}", (IPSize == 8 ? StackTO64(i + 1): StackTO(i + 1)));
}
for (int i = 0; i < ptrs.Count; i++)
{
iwriter.WriteLine("requires StackAbsSlot(heap_old, $stacksFrames_old, r_old.regs[ESP] + "
+ (IPSize + 4 + 4 * i) + " + stackGcOffset) == Abs_" + TypeString(app.AppType(ptrs[i].Type))
+ "(arg_" + ptrs[i].Name + ");");
triggers += String.Format(" && {0}", (IPSize == 8 ? GcTO64(i + 2): GcTO(i + 2)));
}
iwriter.WriteLine(allocDecl2(
dataName,
cons,
PreserveHeap(minVerify),
args));
heapWriter.WriteLine(allocImpl1(
dataName,
ctor.Name,
ctorName,
cons,
parms,
args,
(12 + 4 * sorted.Count).ToString(),
(12 + 4 * ints.Count).ToString(),
triggers,
lemma));
for (int i = 0; i < ints.Count; i++)
{
heapWriter.WriteLine(allocImplInt(
dataName,
ctorName,
ints[i].Name,
(12 + IPSize + 4 * i).ToString()));
}
for (int i = 0; i < ptrs.Count; i++)
{
heapWriter.WriteLine(allocImplPtr(
dataName,
ctorName,
ptrs[i].Name,
(RegAlloc.stackGcOffset + 16 + IPSize + 4 * i).ToString() + "/* stackGcOffset + 16 + IPSize + " + (4 * i) + " */"));
}
heapWriter.WriteLine(allocImpl2(
dataName,
ctorName,
(RegAlloc.stackGcOffset + 12 + IPSize).ToString() + "/* stackGcOffset + 12 + IPSize */"));
for (int i = 0; i < sorted.Count; i++)
{
var formal = sorted[i];
iwriter.WriteLine(loadField(
dataName,
dataIs(ctorName),
formal.Name));
if (IsPtrType(app.AppType(formal.Type)))
{
iwriter.WriteLine("ensures HeapAbsData(heap, $absMem_old[abs]["
+ (3 + i) + "]) == Abs_" + TypeString(app.AppType(formal.Type))
+ "(" + formal.Name + (isSeq ? "_" : "#") + ctorName + "(data));");
iwriter.WriteLine("ensures HeapValue(objLayouts_old, true, $toAbs_old, r.regs[x], $absMem_old[abs]["
+ (3 + i) + "]);");
if (DafnySpec.IsArrayType(app.AppType(formal.Type)))
{
iwriter.WriteLine("ensures $absMem_old[abs][" + (3+i) + "] == " + formal.Name + "#" + ctorName + "(data).arrAbs;");
}
}
else
{
iwriter.WriteLine("ensures " + CompileBase.IntEqTyped(
app.AppType(formal.Type), formal.Name + (isSeq ? "_" : "#") + ctorName + "(data)", "r.regs[x]")
+ ";");
}
heapWriter.WriteLine("implementation loadField_" + dataName + "_" + formal.Name
+ "(my r_old:regs, const my core_state:core_state, const linear stk:mem, const linear statics:mem, const linear io:IOState, linear mems_old:mems, $commonVars:commonVars, $gcVars:gcVars, $toAbs:[int]int, $absMem:[int][int]int, $stacksFrames:[int]Frames, objLayouts:[int]ObjLayout, heap:Heap, x:int, y:opn_mem, data:"
+ dataName + ", abs:int, obj:int)");
heapWriter.WriteLine(" returns(my r:regs, linear mems:mems)");
heapWriter.WriteLine("{");
heapWriter.WriteLine(" assert THeapValue(objLayouts, true, $toAbs, obj, abs);");
heapWriter.WriteLine(" assert THeapInv($absMem, objLayouts, heap);");
heapWriter.WriteLine(" call r, mems := gcLoadField(r_old, core_state, stk, statics, io, mems_old, $commonVars, $gcVars, $absMem, $toAbs, $stacksFrames, objLayouts,");
heapWriter.WriteLine(" x, y, obj - 4, " + (3 + i) + ");");
heapWriter.WriteLine(" assert THeapValue(objLayouts, true, $toAbs, r.regs[x], $absMem[abs][" + (3 + i) + "]);");
heapWriter.WriteLine("}");
}
}
}
void CompileDatatype1Code(Type t, TypeApply app)
{
string dataName = app.AppName();
List<DatatypeCtor> ctors = compileDatatypes[app].AsDatatype.Ctors;
bool isSeq = dataName.StartsWith("Seq_");
for (int i = 0; i < ctors.Count; i++)
{
heapIWriter.WriteLine("const Tag_" + dataName + "_" + ctors[i].Name + ":int := " + (i + 1) + ";");
}
heapWriter.WriteLine("function HeapWordInv_" + dataName + "(absData:[int]AbsData, objLayout:ObjLayout, wordMem:[int]int, data:" + dataName + "):bool");
heapWriter.WriteLine("{");
heapWriter.WriteLine(" true");
foreach (var ctor in ctors)
{
var ints = ctor.Formals.Where(x => !IsPtrType(app.AppType(x.Type))).ToList();
var ptrs = ctor.Formals.Where(x => IsPtrType(app.AppType(x.Type))).ToList();
var sorted = ints.Concat(ptrs).ToList();
string ctorName = Compile_Constructor(t, ctor.Name, app.typeArgs).AppName();
string wordMems = "";
for (int i = 0; i < sorted.Count; i++)
{
heapIWriter.WriteLine("const Offset_" + dataName + "_" + sorted[i].Name + ":int := " + (8 + 4 * i) + ";");
if (IsPtrType(app.AppType(sorted[i].Type)))
{
wordMems += " && absData[wordMem[" + (3 + i) + "]] == Abs_"
+ TypeString(app.AppType(sorted[i].Type)) + "(" + sorted[i].Name
+ (isSeq ? "_" : "#") + ctorName + "(data))";
}
else
{
wordMems += " && " + CompileBase.IntEqTyped(
app.AppType(sorted[i].Type),
sorted[i].Name + (isSeq ? "_" : "#") + ctorName + "(data)",
"wordMem[" + (3 + i) + "]");
}
}
string dataIs = isSeq ? ("is_" + ctorName + "(data)") : "data is " + ctorName;
heapWriter.WriteLine("&& (" + dataIs + " ==> objLayout == ObjLayout("
+ (3 + sorted.Count) + ", " + (3 + ints.Count)
+ ") && wordMem[2] == Tag_" + dataName + "_" + ctor.Name + wordMems + ")");
}
heapWriter.WriteLine("}");
}
public Tuple<Method,TypeApply> GetSeqMethod(Type t, string op)
{
Method m = FindMethod(op);
TypeApply tApp = Compile_SeqType((SeqType)t);
return Tuple.Create(m, Compile_Method(m, tApp.typeArgs));
}
public Tuple<Function,TypeApply> GetSeqOperation(Type t, string op)
{
Function f = FindFunction(op);
TypeApply tApp = Compile_SeqType((SeqType)t);
return Tuple.Create(f, Compile_Function(f, tApp.typeArgs));
}
public TypeApply Compile_Constructor(Type t, string constructor, List<Type> dataTypeArgs,
Dictionary<TypeParameter,Type> typeArgs)
{
UserDefinedType ut = (UserDefinedType) t;
if (dataTypeArgs == null)
{
dataTypeArgs = ut.TypeArgs;
}
Util.Assert(ut.AsDatatype.TypeArgs.Count == dataTypeArgs.Count);
Dictionary<TypeParameter,Type> typeMap = new Dictionary<TypeParameter,Type>();
for (int i = 0; i < dataTypeArgs.Count; i++)
{
typeMap.Add(ut.AsDatatype.TypeArgs[i],
Resolver.SubstType(dataTypeArgs[i], typeArgs));
}
return new TypeApply(this, constructor, ut.AsDatatype.TypeArgs, typeMap);
}
public bool TrustedType(Type t)
{
SeqType seq = t as SeqType;
UserDefinedType ut = t as UserDefinedType;
if (seq != null)
{
return TrustedType(seq.Arg);
}
else if (ut != null)
{
return IsSpecFile(ut.AsDatatype.tok.filename) && TrustedType(ut.TypeArgs);
}
else
{
return true;
}
}
public RtlVar TempVar(Type t, bool declare = true)
{
string name = "$ghost__" + TempName();
RtlVar ret = new RtlVar(name, false, AppType(t));
if (declare)
{
allVars.Add(name, ret);
}
return ret;
}
static Type ToType(Type t)
{
return DafnySpec.ToType(t);
}
public void AddGhostVarDecl(string varName, Type t, bool isGhost)
{
string name = GhostVar(varName);
if (allVars.ContainsKey(name) || forallVars.Exists(d => d.ContainsKey(name)))
{
AddRename(varName);
name = GhostVar(varName);
}
var dict = (forallVars.Count == 0) ? allVars : forallVars[forallVars.Count - 1];
dict.Add(name, new RtlVar(name, isGhost, AppType(t)));
}
public void AddTypeWellFormed(List<RtlExp> specs, RtlExp exp, bool isGhost, Type t, List<UserDefinedType> recs)
{
UserDefinedType ut = t as UserDefinedType;
if (minVerify && !isGhost && t is IntType)
{
specs.Add(new RtlApply("word", new RtlExp[] { exp }));
return;
}
if (t is NatType)
{
specs.Add(new RtlBinary(">=", exp, new RtlInt(0)));
}
if (ut != null && ut.AsDatatype != null
&& recs.TrueForAll(r => ut.Name != r.Name)
)
{
recs.Add(ut);
foreach (var ctor in ut.AsDatatype.Ctors)
{
List<RtlExp> cspecs = new List<RtlExp>();
foreach (var f in ctor.Formals)
{
AddTypeWellFormed(cspecs, new RtlLiteral(f.Name + "#" + ctor.Name + "(" + exp + ")"),
isGhost, f.Type, recs);
}
foreach (var spec in cspecs)
{
specs.Add(new RtlLiteral("((" + exp + ") is " + ctor.Name + " ==> (" + spec + "))"));
}
}
recs.RemoveAt(recs.Count - 1);
}
}
public string TypeString(Type t)
{
t = ToType(t);
MapType mt = t as MapType;
UserDefinedType ut = t as UserDefinedType;
SeqType seq = t as SeqType;
if (t is BoolType)
{
return "bool";
}
else if (t is IntType)
{
return "int";
}
else if (t is RealType)
{
return "real";
}
else if (mt != null)
{
return "[" + TypeString(mt.Domain) + "]" + TypeString(mt.Range);
}
else if (ut != null && ut.AsDatatype != null)
{
return Compile_Datatype(ut).AppName();
}
else if (ut != null && ut.Name == "array")
{
if (!(ToType(ut.TypeArgs[0]) is IntType) || ToType(ut.TypeArgs[0]) is NatType)
{
throw new Exception("not implemented: arrays of non-int types: " + ToType(ut.TypeArgs[0]));
}
return "ArrayOfInt";
}
else if (ut != null && ut.Name == "INTERNAL_AbsMem")
{
return "[int][int]int";
}
else if (ut != null && ut.Name == "INTERNAL_ArrayElems")
{
return "[int]int";
}
else if (ut != null && !ut.IsTypeParameter)
{
return ut.Name;
}
else if (seq != null)
{
return Compile_SeqType(seq).AppName();
}
else
{
throw new Exception("not implemented: " + t + ": " + t.GetType());
}
}
public static string IntToTyped(Type t, string e)
{
return
(t is BoolType) ? "((" + e + ") != 0)" :
(t is RealType) ? "(real(" + e + "))" :
e;
}
public static string IntEqTyped(Type t, string et, string ei)
{
return "(" + IntEqTyped(t, new RtlLiteral(et), new RtlLiteral(ei)) + ")";
}
public void CompileDatatype1Ghost(Type t, TypeApply app, TextWriter writer, TextWriter iwriter)
{
// type List = Nil() | Cons(hd:int, tl:List);
string dataName = app.AppName(); // List
List<DatatypeCtor> ctors = compileDatatypes[app].AsDatatype.Ctors;
bool isSeq = dataName.StartsWith("Seq_");
if (isSeq)
{
iwriter.WriteLine("type " + dataName + ";");
}
(isSeq ? writer : iwriter).WriteLine(
"type " + (isSeq ? "implementation" : "") + "{:overload} " + dataName + " = "
+ String.Join(" | ", ctors.Select(c => Compile_Constructor(t, c.Name, app.typeArgs).AppName() + "("
+ String.Join(", ", c.Formals.Select(f => f.Name + ":" + TypeString(app.AppType(f.Type))))
+ ")")) + ";");
if (isSeq)
{
foreach (var c in ctors)
{
string cName = Compile_Constructor(t, c.Name, app.typeArgs).AppName();
string args = String.Join(", ", c.Formals.Select(f => f.Name));
string parms = String.Join(", ", c.Formals.Select(f => f.Name + ":"
+ TypeString(app.AppType(f.Type))));
iwriter.WriteLine("function _" + cName + "(" + parms + "):" + dataName + ";");
writer.WriteLine("function implementation _" + cName + "(" + parms + "):"
+ dataName + " { " + cName + "(" + args + ") }");
foreach (var f in c.Formals)
{
string tName = TypeString(app.AppType(f.Type));
iwriter.WriteLine("function " + f.Name + "_" + cName + "(x:" + dataName
+ "):" + tName + ";");
writer.WriteLine("function implementation " + f.Name + "_" + cName + "(x:" + dataName
+ "):" + tName + " { " + f.Name + "#" + cName + "(x) }");
}
iwriter.WriteLine("function is_" + cName + "(x:" + dataName + "):bool;");
writer.WriteLine("function implementation is_" + cName + "(x:" + dataName
+ "):bool { x is " + cName + " }");
}
}
}
//- Assert that et is a well-formed value of type t, represented by integer ei
public static RtlExp IntEqTyped(Type t, RtlExp et, RtlExp ei)
{
return
(t is BoolType) ?
new RtlBinary("||",
new RtlBinary("&&", et, new RtlBinary("==", ei, new RtlInt(1))),
new RtlBinary("&&", new RtlApply("!", new RtlExp[] { et }), new RtlBinary("==", ei, new RtlInt(0)))) :
(t is RealType) ? new RtlBinary("==", et, new RtlApply("real", new RtlExp[] { ei })) :
new RtlBinary("==", et, ei);
}
// REVIEW: is this receiving the correct typeArgs?
public TypeApply Compile_Constructor(Type t, string constructor, Dictionary<TypeParameter,Type> typeArgs)
{
UserDefinedType ut = (UserDefinedType) t;
Dictionary<string,TypeParameter> substArgs = new Dictionary<string,TypeParameter>();
ut.AsDatatype.TypeArgs.ForEach(tt => substArgs.Add(tt.Name, tt));
typeArgs = typeArgs.ToDictionary(p => substArgs[p.Key.Name], p => p.Value);
return new TypeApply(this, constructor, ut.AsDatatype.TypeArgs, typeArgs);
}
public string TypeString(Type t)
{
return dafnySpec.TypeString(t);
}
public string GetSeqOperationName(Type t, string op)
{
TypeApply tApp = Compile_SeqType((SeqType)t);
TypeApply fApp = Compile_Function(FindFunction(op), tApp.typeArgs);
return FunName(SimpleName(GetSeqOperation(t, op).Item2.AppName()));
}
public static IdentifierExpr MakeIdentifierExpr(string name, Type type, bool isGhost)
{
Util.Assert(type != null);
IdentifierExpr id = new IdentifierExpr(Bpl.Token.NoToken, name);
id.Type = type;
id.Var = new LocalVariable(Bpl.Token.NoToken, Bpl.Token.NoToken, name, type, isGhost);
return id;
}
public Tuple<Method,TypeApply> GetSeqBuildMethod(Type t, SeqTree tree, List<bool> elemDimensions)
{
if (elemDimensions.Count == 0)
{
return GetSeqMethod(t, "seq_Empty");
}
if (elemDimensions.Count == 2 && elemDimensions[0] && elemDimensions[1])
{
return GetSeqMethod(t, "seq_Append");
}
string op = "seq_" + SeqTree.TreeName(tree);
DatatypeDecl seqDecl = FindDatatype("Seq");
var tok = new Bpl.Token(0, 0);
tok.filename = @"!\Seq.dfy";
TypeApply tApp = Compile_SeqType((SeqType)t);
Type dataType = new UserDefinedType(tok, "Seq", seqDecl, new List<Type> { ((SeqType)t).Arg });
Type elemType = ((SeqType)t).Arg;
Func<string,Type,Expression> idExpr = (x, typ) => {
var e = new IdentifierExpr(tok, x);
e.Type = typ;
e.Var = new LocalVariable(tok, tok, x, typ, false);
return e;
};
Func<string,List<Expression>,FunctionCallExpr> seqCall = (x, args) => {
var seqOp = GetSeqOperation(t, x);
FunctionCallExpr callExpr = new FunctionCallExpr(
tok, "Seq_Empty", new ThisExpr(tok), tok, args);
callExpr.Function = seqOp.Item1;
callExpr.TypeArgumentSubstitutions = seqOp.Item2.typeArgs;
return callExpr;
};
Expression empty = seqCall("Seq_Empty", new List<Expression> {});
int varCount = 0;
Func<SeqTree,Expression> resultRec = null;
resultRec = (subtree) =>
{
if (subtree == null)
{
return idExpr("s" + (varCount++), dataType);
}
if (subtree.buildCount >= 0)
{
Expression build = empty;
for (int i = 0; i < subtree.buildCount; i++)
{
build = seqCall("Seq_Build", new List<Expression>
{ build, idExpr("a" + (varCount++), elemType) });
}
return build;
}
else
{
return seqCall("Seq_Append", new List<Expression>
{ resultRec(subtree.left), resultRec(subtree.right) });
}
};
Expression result = resultRec(tree);
Expression post = seqCall("Seq_Equal", new List<Expression> { idExpr("s", dataType), result });
List<Statement> stmts = new List<Statement>();
for (int i = elemDimensions.Count; i > 0;)
{
bool isFirst = (i == elemDimensions.Count);
i--;
if (elemDimensions[i])
{
if (isFirst)
{
stmts.Add(new AssignStmt(tok, tok, idExpr("s", dataType),
new ExprRhs(idExpr("s" + i, dataType))));
}
else
{
// s := seq_Append(s9, s);
var selectExpr = new MemberSelectExpr(tok, new ThisExpr(tok), "seq_Append");
selectExpr.Member = FindMethod(selectExpr.MemberName); // Manually resolve here
selectExpr.TypeApplication = new List<Type>() { elemType }; // Manually resolve here
selectExpr.Type = new InferredTypeProxy(); // Manually resolve here
CallStmt callStmt = new CallStmt(tok, tok,
new List<Expression> {idExpr("s", dataType)},
selectExpr, new List<Expression>
{ idExpr("s" + i, dataType), idExpr("s", dataType) });
stmts.Add(callStmt);
}
}
else
{
if (isFirst)
{
DatatypeValue nil = new DatatypeValue(tok, "Seq", "Nil", new List<Expression>() {});
nil.Type = dataType;
nil.InferredTypeArgs = new List<Type> { elemType };
nil.Ctor = seqDecl.Ctors[0];
Util.Assert(nil.Ctor.Name == "Seq_Nil");
stmts.Add(new AssignStmt(tok, tok, idExpr("s", dataType), new ExprRhs(nil)));
}
// lemma_Seq_Cons(ai, s);
var selectExpr = new MemberSelectExpr(tok, new ThisExpr(tok), "lemma_Seq_Cons");
selectExpr.Member = FindMethod(selectExpr.MemberName); // Manually resolve here
selectExpr.TypeApplication = new List<Type>() { elemType }; // Manually resolve here
selectExpr.Type = new InferredTypeProxy(); // Manually resolve here
CallStmt callStmt = new CallStmt(tok, tok,
new List<Expression> {},
selectExpr, new List<Expression>
{ idExpr("a" + i, elemType), idExpr("s", dataType) });
callStmt.IsGhost = true;
stmts.Add(callStmt);
DatatypeValue cons = new DatatypeValue(tok, "Seq", "Cons", new List<Expression>()
{ idExpr("a" + i, elemType), idExpr("s", dataType) });
cons.Type = dataType;
cons.InferredTypeArgs = new List<Type> { elemType };
cons.Ctor = seqDecl.Ctors[1];
Util.Assert(cons.Ctor.Name == "Seq_Cons");
stmts.Add(new AssignStmt(tok, tok, idExpr("s", dataType), new ExprRhs(cons)));
}
}
BlockStmt body = new BlockStmt(tok, tok, stmts);
List<Formal> ins = new List<Formal>();
for (int i = 0; i < elemDimensions.Count; i++)
{
bool isSeq = elemDimensions[i];
ins.Add(new Formal(tok, (isSeq ? "s" : "a") + i, isSeq ? dataType : elemType, true, false));
}
List<Formal> outs = new List<Formal> { new Formal(tok, "s", dataType, false, false) };
List<MaybeFreeExpression> reqs = new List<MaybeFreeExpression>();
List<MaybeFreeExpression> enss = new List<MaybeFreeExpression> { new MaybeFreeExpression(post) };
Specification<FrameExpression> mods = new Specification<FrameExpression>(new List<FrameExpression>(), null);
Specification<Expression> decs = new Specification<Expression>(new List<Expression>(), null);
Attributes attrs = new Attributes("dafnycc_conservative_seq_triggers", new List<Expression>(), null);
Method m = new Method(tok, op, true, false, tApp.typeParams, ins, outs, reqs, mods, enss, decs, body, attrs, tok);
m.EnclosingClass = GetSeqMethod(t, "seq_Append").Item1.EnclosingClass;
return Tuple.Create(m, Compile_Method(m, tApp.typeArgs));
}
public static BinaryExpr MakeBinaryExpr(BinaryExpr.Opcode op,
BinaryExpr.ResolvedOpcode rop, Type t, Expression e0, Expression e1)
{
Util.Assert(t != null && e0.Type != null && e1.Type != null);
BinaryExpr e = new BinaryExpr(e0.tok, op, e0, e1);
e.ResolvedOp = rop;
e.Type = t;
return e;
}
void CompileDatatype1(Type t, TypeApply app)
{
string dataName = app.AppName();
List<DatatypeCtor> ctors = compileDatatypes[app].AsDatatype.Ctors;
bool isSeq = dataName.StartsWith("Seq_");
bool isTrusted = isSeq ? TrustedType(app.typeArgs.Values) : TrustedType(t);
CompileDatatype1Ghost(t, app,
isTrusted ? trustedWriter : checkedWriter,
isTrusted ? trustedIWriter : checkedIWriter);
CompileDatatype1Code(t, app);
}
public static Type ToType(Type t)
{
TypeProxy proxy = t as TypeProxy;
if (proxy != null && proxy.T == null)
{
Util.Assert(false); // Dafny appears to be doing sane type resolution now
return defaultPolyType; //- pick arbitrary type
}
if (proxy != null)
{
return ToType(proxy.T);
}
return t;
}
public static bool IsArrayType(Type t)
{
return t is UserDefinedType && ((UserDefinedType)t).Name == "array";
}
public void AddTypeWellFormed(List<RtlExp> specs, string name, bool isGhost, Type t)
{
AddTypeWellFormed(specs, new RtlVar(name, isGhost, t), isGhost, t, new List<UserDefinedType>());
}
public static bool IsPtrType(Type t)
{
return !(t is BoolType) && !(t is IntType) && !(t is NatType) && !(t is RealType);
}
public readonly Microsoft.Dafny.Type type; //- used to declare local ghost variables; may be null if no declaration required
public RtlVar(string x, bool isGhost, Microsoft.Dafny.Type t = null) { this.x = x; this.isGhost = isGhost; this.type = t; }