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Translator.cs
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Translator.cs
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//-----------------------------------------------------------------------------
//
// Copyright (C) Microsoft Corporation. All Rights Reserved.
// Copyright by the contributors to the Dafny Project
// SPDX-License-Identifier: MIT
//
//-----------------------------------------------------------------------------
using System;
using System.Collections.Generic;
using System.Linq;
using System.Numerics;
using System.Diagnostics.Contracts;
using Bpl = Microsoft.Boogie;
using BplParser = Microsoft.Boogie.Parser;
using System.Text;
using System.Threading;
using Microsoft.Boogie;
using static Microsoft.Dafny.Util;
using Core;
using PODesc = Microsoft.Dafny.ProofObligationDescription;
namespace Microsoft.Dafny {
public partial class Translator {
public const string NameSeparator = "$$";
ErrorReporter reporter;
// TODO(wuestholz): Enable this once Dafny's recommended Z3 version includes changeset 0592e765744497a089c42021990740f303901e67.
public bool UseOptimizationInZ3 { get; set; }
void AddOtherDefinition(Bpl.Declaration declaration, Axiom axiom) {
switch (declaration) {
case null:
break;
case Boogie.Function boogieFunction:
boogieFunction.AddOtherDefinitionAxiom(axiom);
break;
case Boogie.Constant boogieConstant:
boogieConstant.DefinitionAxioms.Add(axiom);
break;
default: throw new ArgumentException("Declaration must be a function or constant");
}
sink.AddTopLevelDeclaration(axiom);
}
public class TranslatorFlags {
public bool InsertChecksums = 0 < DafnyOptions.O.VerifySnapshots;
public string UniqueIdPrefix = null;
public bool ReportRanges = false;
}
[NotDelayed]
public Translator(ErrorReporter reporter, TranslatorFlags flags = null) {
this.reporter = reporter;
if (flags == null) {
flags = new TranslatorFlags();
}
this.flags = flags;
Bpl.Program boogieProgram = ReadPrelude();
if (boogieProgram != null) {
sink = boogieProgram;
predef = FindPredefinedDecls(boogieProgram);
}
}
public void SetReporter(ErrorReporter reporter) {
this.reporter = reporter;
}
private void EstablishModuleScope(ModuleDefinition systemModule, ModuleDefinition m) {
currentScope = new VisibilityScope();
verificationScope = new VisibilityScope();
currentScope.Augment(m.VisibilityScope);
verificationScope.Augment(currentScope);
currentScope.Augment(systemModule.VisibilityScope);
foreach (var decl in m.TopLevelDecls) {
if (decl is ModuleDecl && !(decl is ModuleExportDecl)) {
var mdecl = (ModuleDecl)decl;
currentScope.Augment(mdecl.AccessibleSignature().VisibilityScope);
}
}
}
// translation state
readonly Dictionary<TopLevelDecl/*!*/, Bpl.Constant/*!*/>/*!*/ classes = new Dictionary<TopLevelDecl/*!*/, Bpl.Constant/*!*/>();
readonly Dictionary<TopLevelDecl, string>/*!*/ classConstants = new Dictionary<TopLevelDecl, string>();
readonly Dictionary<Function, string> functionHandles = new Dictionary<Function, string>();
readonly List<FuelConstant> functionFuel = new List<FuelConstant>();
readonly Dictionary<Field/*!*/, Bpl.Constant/*!*/>/*!*/ fields = new Dictionary<Field/*!*/, Bpl.Constant/*!*/>();
readonly Dictionary<Field/*!*/, Bpl.Function/*!*/>/*!*/ fieldFunctions = new Dictionary<Field/*!*/, Bpl.Function/*!*/>();
readonly Dictionary<string, Bpl.Constant> fieldConstants = new Dictionary<string, Constant>();
readonly Dictionary<string, Bpl.Constant> tytagConstants = new Dictionary<string, Constant>();
readonly ISet<string> abstractTypes = new HashSet<string>();
// optimizing translation
readonly ISet<MemberDecl> referencedMembers = new HashSet<MemberDecl>();
public void AddReferencedMember(MemberDecl m) {
if (m is Method && !InVerificationScope(m)) {
referencedMembers.Add(m);
}
}
FuelContext fuelContext = null;
IsAllocContext isAllocContext = null;
Program program;
[ContractInvariantMethod]
void ObjectInvariant() {
Contract.Invariant(cce.NonNullDictionaryAndValues(classes));
Contract.Invariant(cce.NonNullDictionaryAndValues(fields));
Contract.Invariant(cce.NonNullDictionaryAndValues(fieldFunctions));
Contract.Invariant(codeContext == null || codeContext.EnclosingModule == currentModule);
}
[Pure]
bool VisibleInScope(Declaration d) {
Contract.Requires(d != null);
if (d is ClassDecl cl && cl.NonNullTypeDecl != null) {
// "provides" is recorded in the non-null type declaration, not the class
return cl.NonNullTypeDecl.IsVisibleInScope(currentScope);
}
return d.IsVisibleInScope(currentScope);
}
[Pure]
bool VisibleInScope(Type t) {
if (t is UserDefinedType udt && udt.ResolvedClass != null && !t.IsTypeParameter) {
return VisibleInScope(udt.ResolvedClass);
}
return true;
}
[Pure]
bool RevealedInScope(Declaration d) {
Contract.Requires(d != null);
return d.IsRevealedInScope(currentScope);
}
[Pure]
bool RevealedInScope(RevealableTypeDecl d) {
Contract.Requires(d != null);
return RevealedInScope(d.AsTopLevelDecl);
}
[Pure]
bool InVerificationScope(Declaration d) {
Contract.Requires(d != null);
if (d.tok is IncludeToken && !DafnyOptions.O.VerifyAllModules) {
return false;
}
if (d.IsVisibleInScope(verificationScope)) {
Contract.Assert(d.IsRevealedInScope(verificationScope));
return true;
}
return false;
}
[Pure]
bool InVerificationScope(RedirectingTypeDecl d) {
Contract.Requires(d != null);
Contract.Requires(d is Declaration);
return InVerificationScope((Declaration)d);
}
private Bpl.Program sink;
private VisibilityScope currentScope;
private VisibilityScope verificationScope;
private Dictionary<Declaration, Bpl.Function> declarationMapping = new();
readonly PredefinedDecls predef;
private TranslatorFlags flags = new TranslatorFlags();
private bool InsertChecksums { get { return flags.InsertChecksums; } }
private string UniqueIdPrefix { get { return flags.UniqueIdPrefix; } }
internal class PredefinedDecls {
public readonly Bpl.Type CharType;
public readonly Bpl.Type RefType;
public readonly Bpl.Type BoxType;
public Bpl.Type BigOrdinalType {
get { return BoxType; }
}
public readonly Bpl.Type TickType;
private readonly Bpl.TypeSynonymDecl setTypeCtor;
private readonly Bpl.TypeSynonymDecl isetTypeCtor;
private readonly Bpl.TypeSynonymDecl multiSetTypeCtor;
private readonly Bpl.TypeCtorDecl mapTypeCtor;
private readonly Bpl.TypeCtorDecl imapTypeCtor;
public readonly Bpl.Function ArrayLength;
public readonly Bpl.Function RealFloor;
public readonly Bpl.Function ORDINAL_IsLimit;
public readonly Bpl.Function ORDINAL_IsSucc;
public readonly Bpl.Function ORDINAL_Offset;
public readonly Bpl.Function ORDINAL_IsNat;
public readonly Bpl.Function MapDomain;
public readonly Bpl.Function IMapDomain;
public readonly Bpl.Function MapValues;
public readonly Bpl.Function IMapValues;
public readonly Bpl.Function MapItems;
public readonly Bpl.Function IMapItems;
public readonly Bpl.Function ObjectTypeConstructor;
public readonly Bpl.Function Tuple2TypeConstructor;
public readonly Bpl.Function Tuple2Destructors0;
public readonly Bpl.Function Tuple2Destructors1;
public readonly Bpl.Function Tuple2Constructor;
private readonly Bpl.TypeCtorDecl seqTypeCtor;
public readonly Bpl.Type Bv0Type;
readonly Bpl.TypeCtorDecl fieldName;
public readonly Bpl.Type HeapType;
public readonly string HeapVarName;
public readonly Bpl.Type ClassNameType;
public readonly Bpl.Type NameFamilyType;
public readonly Bpl.Type DatatypeType;
public readonly Bpl.Type HandleType;
public readonly Bpl.Type LayerType;
public readonly Bpl.Type DtCtorId;
public readonly Bpl.Type Ty;
public readonly Bpl.Type TyTag;
public readonly Bpl.Type TyTagFamily;
public readonly Bpl.Expr Null;
public readonly Bpl.Constant AllocField;
[ContractInvariantMethod]
void ObjectInvariant() {
Contract.Invariant(CharType != null);
Contract.Invariant(RefType != null);
Contract.Invariant(BoxType != null);
Contract.Invariant(TickType != null);
Contract.Invariant(setTypeCtor != null);
Contract.Invariant(multiSetTypeCtor != null);
Contract.Invariant(ArrayLength != null);
Contract.Invariant(RealFloor != null);
Contract.Invariant(ORDINAL_IsLimit != null);
Contract.Invariant(ORDINAL_IsSucc != null);
Contract.Invariant(ORDINAL_Offset != null);
Contract.Invariant(ORDINAL_IsNat != null);
Contract.Invariant(MapDomain != null);
Contract.Invariant(IMapDomain != null);
Contract.Invariant(MapValues != null);
Contract.Invariant(IMapValues != null);
Contract.Invariant(MapItems != null);
Contract.Invariant(IMapItems != null);
Contract.Invariant(Tuple2Destructors0 != null);
Contract.Invariant(Tuple2Destructors1 != null);
Contract.Invariant(Tuple2Constructor != null);
Contract.Invariant(seqTypeCtor != null);
Contract.Invariant(fieldName != null);
Contract.Invariant(HeapVarName != null);
Contract.Invariant(ClassNameType != null);
Contract.Invariant(NameFamilyType != null);
Contract.Invariant(DatatypeType != null);
Contract.Invariant(HandleType != null);
Contract.Invariant(LayerType != null);
Contract.Invariant(DtCtorId != null);
Contract.Invariant(Ty != null);
Contract.Invariant(TyTag != null);
Contract.Invariant(TyTagFamily != null);
Contract.Invariant(Null != null);
Contract.Invariant(AllocField != null);
}
public Bpl.Type SetType(IToken tok, bool finite, Bpl.Type ty) {
Contract.Requires(tok != null);
Contract.Requires(ty != null);
Contract.Ensures(Contract.Result<Bpl.Type>() != null);
return new Bpl.TypeSynonymAnnotation(Token.NoToken, finite ? setTypeCtor : isetTypeCtor, new List<Bpl.Type> { ty });
}
public Bpl.Type MultiSetType(IToken tok, Bpl.Type ty) {
Contract.Requires(tok != null);
Contract.Requires(ty != null);
Contract.Ensures(Contract.Result<Bpl.Type>() != null);
return new Bpl.TypeSynonymAnnotation(Token.NoToken, multiSetTypeCtor, new List<Bpl.Type> { ty });
}
public Bpl.Type MapType(IToken tok, bool finite, Bpl.Type tya, Bpl.Type tyb) {
Contract.Requires(tok != null);
Contract.Requires(tya != null && tyb != null);
Contract.Ensures(Contract.Result<Bpl.Type>() != null);
return new Bpl.CtorType(Token.NoToken, finite ? mapTypeCtor : imapTypeCtor, new List<Bpl.Type> { tya, tyb });
}
public Bpl.Type SeqType(IToken tok, Bpl.Type ty) {
Contract.Requires(tok != null);
Contract.Requires(ty != null);
Contract.Ensures(Contract.Result<Bpl.Type>() != null);
return new Bpl.CtorType(Token.NoToken, seqTypeCtor, new List<Bpl.Type> { ty });
}
public Bpl.Type FieldName(IToken tok, Bpl.Type ty) {
Contract.Requires(tok != null);
Contract.Requires(ty != null);
Contract.Ensures(Contract.Result<Bpl.Type>() != null);
return new Bpl.CtorType(tok, fieldName, new List<Bpl.Type> { ty });
}
public Bpl.IdentifierExpr Alloc(IToken tok) {
Contract.Requires(tok != null);
Contract.Ensures(Contract.Result<Bpl.IdentifierExpr>() != null);
return new Bpl.IdentifierExpr(tok, AllocField);
}
public PredefinedDecls(Bpl.TypeCtorDecl charType, Bpl.TypeCtorDecl refType, Bpl.TypeCtorDecl boxType, Bpl.TypeCtorDecl tickType,
Bpl.TypeSynonymDecl setTypeCtor, Bpl.TypeSynonymDecl isetTypeCtor, Bpl.TypeSynonymDecl multiSetTypeCtor,
Bpl.TypeCtorDecl mapTypeCtor, Bpl.TypeCtorDecl imapTypeCtor,
Bpl.Function arrayLength, Bpl.Function realFloor,
Bpl.Function ORD_isLimit, Bpl.Function ORD_isSucc, Bpl.Function ORD_offset, Bpl.Function ORD_isNat,
Bpl.Function mapDomain, Bpl.Function imapDomain,
Bpl.Function mapValues, Bpl.Function imapValues, Bpl.Function mapItems, Bpl.Function imapItems,
Bpl.Function objectTypeConstructor,
Bpl.Function tuple2Destructors0, Bpl.Function tuple2Destructors1, Bpl.Function tuple2Constructor, Bpl.Function tuple2TypeConstructor,
Bpl.TypeCtorDecl seqTypeCtor, Bpl.TypeSynonymDecl bv0TypeDecl,
Bpl.TypeCtorDecl fieldNameType, Bpl.TypeCtorDecl tyType, Bpl.TypeCtorDecl tyTagType, Bpl.TypeCtorDecl tyTagFamilyType,
Bpl.GlobalVariable heap, Bpl.TypeCtorDecl classNameType, Bpl.TypeCtorDecl nameFamilyType,
Bpl.TypeCtorDecl datatypeType, Bpl.TypeCtorDecl handleType, Bpl.TypeCtorDecl layerType, Bpl.TypeCtorDecl dtCtorId,
Bpl.Constant allocField) {
#region Non-null preconditions on parameters
Contract.Requires(charType != null);
Contract.Requires(refType != null);
Contract.Requires(boxType != null);
Contract.Requires(tickType != null);
Contract.Requires(setTypeCtor != null);
Contract.Requires(isetTypeCtor != null);
Contract.Requires(multiSetTypeCtor != null);
Contract.Requires(mapTypeCtor != null);
Contract.Requires(imapTypeCtor != null);
Contract.Requires(arrayLength != null);
Contract.Requires(realFloor != null);
Contract.Requires(ORD_isLimit != null);
Contract.Requires(ORD_isSucc != null);
Contract.Requires(ORD_offset != null);
Contract.Requires(ORD_isNat != null);
Contract.Requires(mapDomain != null);
Contract.Requires(imapDomain != null);
Contract.Requires(mapValues != null);
Contract.Requires(imapValues != null);
Contract.Requires(mapItems != null);
Contract.Requires(imapItems != null);
Contract.Requires(tuple2Destructors0 != null);
Contract.Requires(tuple2Destructors1 != null);
Contract.Requires(tuple2Constructor != null);
Contract.Requires(seqTypeCtor != null);
Contract.Requires(bv0TypeDecl != null);
Contract.Requires(fieldNameType != null);
Contract.Requires(heap != null);
Contract.Requires(classNameType != null);
Contract.Requires(datatypeType != null);
Contract.Requires(layerType != null);
Contract.Requires(dtCtorId != null);
Contract.Requires(allocField != null);
Contract.Requires(tyType != null);
Contract.Requires(tyTagType != null);
Contract.Requires(tyTagFamilyType != null);
#endregion
this.CharType = new Bpl.CtorType(Token.NoToken, charType, new List<Bpl.Type>());
Bpl.CtorType refT = new Bpl.CtorType(Token.NoToken, refType, new List<Bpl.Type>());
this.RefType = refT;
this.BoxType = new Bpl.CtorType(Token.NoToken, boxType, new List<Bpl.Type>());
this.TickType = new Bpl.CtorType(Token.NoToken, tickType, new List<Bpl.Type>());
this.setTypeCtor = setTypeCtor;
this.isetTypeCtor = isetTypeCtor;
this.multiSetTypeCtor = multiSetTypeCtor;
this.mapTypeCtor = mapTypeCtor;
this.imapTypeCtor = imapTypeCtor;
this.ArrayLength = arrayLength;
this.RealFloor = realFloor;
this.ORDINAL_IsLimit = ORD_isLimit;
this.ORDINAL_IsSucc = ORD_isSucc;
this.ORDINAL_Offset = ORD_offset;
this.ORDINAL_IsNat = ORD_isNat;
this.MapDomain = mapDomain;
this.IMapDomain = imapDomain;
this.MapValues = mapValues;
this.IMapValues = imapValues;
this.MapItems = mapItems;
this.IMapItems = imapItems;
this.ObjectTypeConstructor = objectTypeConstructor;
this.Tuple2Destructors0 = tuple2Destructors0;
this.Tuple2Destructors1 = tuple2Destructors1;
this.Tuple2Constructor = tuple2Constructor;
this.Tuple2TypeConstructor = tuple2TypeConstructor;
this.seqTypeCtor = seqTypeCtor;
this.Bv0Type = new Bpl.TypeSynonymAnnotation(Token.NoToken, bv0TypeDecl, new List<Bpl.Type>());
this.fieldName = fieldNameType;
this.HeapType = heap.TypedIdent.Type;
this.HeapVarName = heap.Name;
this.Ty = new Bpl.CtorType(Token.NoToken, tyType, new List<Bpl.Type>());
this.TyTag = new Bpl.CtorType(Token.NoToken, tyTagType, new List<Bpl.Type>());
this.TyTagFamily = new Bpl.CtorType(Token.NoToken, tyTagFamilyType, new List<Bpl.Type>());
this.ClassNameType = new Bpl.CtorType(Token.NoToken, classNameType, new List<Bpl.Type>());
this.NameFamilyType = new Bpl.CtorType(Token.NoToken, nameFamilyType, new List<Bpl.Type>());
this.DatatypeType = new Bpl.CtorType(Token.NoToken, datatypeType, new List<Bpl.Type>());
this.HandleType = new Bpl.CtorType(Token.NoToken, handleType, new List<Bpl.Type>());
this.LayerType = new Bpl.CtorType(Token.NoToken, layerType, new List<Bpl.Type>());
this.DtCtorId = new Bpl.CtorType(Token.NoToken, dtCtorId, new List<Bpl.Type>());
this.AllocField = allocField;
this.Null = new Bpl.IdentifierExpr(Token.NoToken, "null", refT);
}
}
static PredefinedDecls FindPredefinedDecls(Bpl.Program prog) {
Contract.Requires(prog != null);
if (prog.Resolve(DafnyOptions.O) != 0) {
Console.WriteLine("Error: resolution errors encountered in Dafny prelude");
return null;
}
Bpl.TypeCtorDecl charType = null;
Bpl.TypeCtorDecl refType = null;
Bpl.TypeSynonymDecl setTypeCtor = null;
Bpl.TypeSynonymDecl isetTypeCtor = null;
Bpl.TypeSynonymDecl multiSetTypeCtor = null;
Bpl.Function arrayLength = null;
Bpl.Function realFloor = null;
Bpl.Function ORDINAL_isLimit = null;
Bpl.Function ORDINAL_isSucc = null;
Bpl.Function ORDINAL_offset = null;
Bpl.Function ORDINAL_isNat = null;
Bpl.Function mapDomain = null;
Bpl.Function imapDomain = null;
Bpl.Function mapValues = null;
Bpl.Function imapValues = null;
Bpl.Function mapItems = null;
Bpl.Function imapItems = null;
Bpl.Function objectTypeConstructor = null;
Bpl.Function tuple2TypeConstructor = null;
Bpl.Function tuple2Destructors0 = null;
Bpl.Function tuple2Destructors1 = null;
Bpl.Function tuple2Constructor = null;
Bpl.TypeCtorDecl seqTypeCtor = null;
Bpl.TypeCtorDecl fieldNameType = null;
Bpl.TypeCtorDecl classNameType = null;
Bpl.TypeSynonymDecl bv0TypeDecl = null;
Bpl.TypeCtorDecl tyType = null;
Bpl.TypeCtorDecl tyTagType = null;
Bpl.TypeCtorDecl tyTagFamilyType = null;
Bpl.TypeCtorDecl nameFamilyType = null;
Bpl.TypeCtorDecl datatypeType = null;
Bpl.TypeCtorDecl handleType = null;
Bpl.TypeCtorDecl layerType = null;
Bpl.TypeCtorDecl dtCtorId = null;
Bpl.TypeCtorDecl boxType = null;
Bpl.TypeCtorDecl tickType = null;
Bpl.TypeCtorDecl mapTypeCtor = null;
Bpl.TypeCtorDecl imapTypeCtor = null;
Bpl.GlobalVariable heap = null;
Bpl.Constant allocField = null;
foreach (var d in prog.TopLevelDeclarations) {
if (d is Bpl.TypeCtorDecl) {
Bpl.TypeCtorDecl dt = (Bpl.TypeCtorDecl)d;
if (dt.Name == "Seq") {
seqTypeCtor = dt;
} else if (dt.Name == "Field") {
fieldNameType = dt;
} else if (dt.Name == "ClassName") {
classNameType = dt;
} else if (dt.Name == "Ty") {
tyType = dt;
} else if (dt.Name == "TyTag") {
tyTagType = dt;
} else if (dt.Name == "TyTagFamily") {
tyTagFamilyType = dt;
} else if (dt.Name == "DatatypeType") {
datatypeType = dt;
} else if (dt.Name == "HandleType") {
handleType = dt;
} else if (dt.Name == "LayerType") {
layerType = dt;
} else if (dt.Name == "DtCtorId") {
dtCtorId = dt;
} else if (dt.Name == "char") {
charType = dt;
} else if (dt.Name == "ref") {
refType = dt;
} else if (dt.Name == "NameFamily") {
nameFamilyType = dt;
} else if (dt.Name == "Box") {
boxType = dt;
} else if (dt.Name == "TickType") {
tickType = dt;
} else if (dt.Name == "Map") {
mapTypeCtor = dt;
} else if (dt.Name == "IMap") {
imapTypeCtor = dt;
}
} else if (d is Bpl.TypeSynonymDecl) {
Bpl.TypeSynonymDecl dt = (Bpl.TypeSynonymDecl)d;
if (dt.Name == "Set") {
setTypeCtor = dt;
} else if (dt.Name == "MultiSet") {
multiSetTypeCtor = dt;
} else if (dt.Name == "ISet") {
isetTypeCtor = dt;
} else if (dt.Name == "Bv0") {
bv0TypeDecl = dt;
}
} else if (d is Bpl.Constant) {
Bpl.Constant c = (Bpl.Constant)d;
if (c.Name == "alloc") {
allocField = c;
}
} else if (d is Bpl.GlobalVariable) {
Bpl.GlobalVariable v = (Bpl.GlobalVariable)d;
if (v.Name == "$Heap") {
heap = v;
}
} else if (d is Bpl.Function) {
var f = (Bpl.Function)d;
if (f.Name == "_System.array.Length") {
arrayLength = f;
} else if (f.Name == "_System.real.Floor") {
realFloor = f;
} else if (f.Name == "ORD#IsLimit") {
ORDINAL_isLimit = f;
} else if (f.Name == "ORD#IsSucc") {
ORDINAL_isSucc = f;
} else if (f.Name == "ORD#Offset") {
ORDINAL_offset = f;
} else if (f.Name == "ORD#IsNat") {
ORDINAL_isNat = f;
} else if (f.Name == "Map#Domain") {
mapDomain = f;
} else if (f.Name == "IMap#Domain") {
imapDomain = f;
} else if (f.Name == "Map#Values") {
mapValues = f;
} else if (f.Name == "IMap#Values") {
imapValues = f;
} else if (f.Name == "Map#Items") {
mapItems = f;
} else if (f.Name == "IMap#Items") {
imapItems = f;
} else if (f.Name == "_System.Tuple2._0") {
tuple2Destructors0 = f;
} else if (f.Name == "_System.Tuple2._1") {
tuple2Destructors1 = f;
} else if (f.Name == "#_System._tuple#2._#Make2") {
tuple2Constructor = f;
} else if (f.Name == "Tclass._System.Tuple2") {
tuple2TypeConstructor = f;
} else if (f.Name == "Tclass._System.object?") {
objectTypeConstructor = f;
}
}
}
if (seqTypeCtor == null) {
Console.WriteLine("Error: Dafny prelude is missing declaration of type Seq");
} else if (setTypeCtor == null) {
Console.WriteLine("Error: Dafny prelude is missing declaration of type Set");
} else if (isetTypeCtor == null) {
Console.WriteLine("Error: Dafny prelude is missing declaration of type ISet");
} else if (multiSetTypeCtor == null) {
Console.WriteLine("Error: Dafny prelude is missing declaration of type MultiSet");
} else if (mapTypeCtor == null) {
Console.WriteLine("Error: Dafny prelude is missing declaration of type Map");
} else if (imapTypeCtor == null) {
Console.WriteLine("Error: Dafny prelude is missing declaration of type IMap");
} else if (arrayLength == null) {
Console.WriteLine("Error: Dafny prelude is missing declaration of function _System.array.Length");
} else if (realFloor == null) {
Console.WriteLine("Error: Dafny prelude is missing declaration of function _System.real.Floor");
} else if (ORDINAL_isLimit == null) {
Console.WriteLine("Error: Dafny prelude is missing declaration of function ORD#IsLimit");
} else if (ORDINAL_isSucc == null) {
Console.WriteLine("Error: Dafny prelude is missing declaration of function ORD#IsSucc");
} else if (ORDINAL_offset == null) {
Console.WriteLine("Error: Dafny prelude is missing declaration of function ORD#Offset");
} else if (ORDINAL_isNat == null) {
Console.WriteLine("Error: Dafny prelude is missing declaration of function ORD#IsNat");
} else if (mapDomain == null) {
Console.WriteLine("Error: Dafny prelude is missing declaration of function Map#Domain");
} else if (imapDomain == null) {
Console.WriteLine("Error: Dafny prelude is missing declaration of function IMap#Domain");
} else if (mapValues == null) {
Console.WriteLine("Error: Dafny prelude is missing declaration of function Map#Values");
} else if (imapValues == null) {
Console.WriteLine("Error: Dafny prelude is missing declaration of function IMap#Values");
} else if (mapItems == null) {
Console.WriteLine("Error: Dafny prelude is missing declaration of function Map#Items");
} else if (imapItems == null) {
Console.WriteLine("Error: Dafny prelude is missing declaration of function IMap#Items");
} else if (tuple2Destructors0 == null) {
Console.WriteLine("Error: Dafny prelude is missing declaration of function _System.Tuple2._0");
} else if (tuple2Destructors1 == null) {
Console.WriteLine("Error: Dafny prelude is missing declaration of function _System.Tuple2._1");
} else if (tuple2Constructor == null) {
Console.WriteLine("Error: Dafny prelude is missing declaration of function #_System._tuple#2._#Make2");
} else if (bv0TypeDecl == null) {
Console.WriteLine("Error: Dafny prelude is missing declaration of type Bv0");
} else if (fieldNameType == null) {
Console.WriteLine("Error: Dafny prelude is missing declaration of type Field");
} else if (classNameType == null) {
Console.WriteLine("Error: Dafny prelude is missing declaration of type ClassName");
} else if (tyType == null) {
Console.WriteLine("Error: Dafny prelude is missing declaration of type Ty");
} else if (tyTagType == null) {
Console.WriteLine("Error: Dafny prelude is missing declaration of type TyTag");
} else if (tyTagFamilyType == null) {
Console.WriteLine("Error: Dafny prelude is missing declaration of type TyTagFamily");
} else if (nameFamilyType == null) {
Console.WriteLine("Error: Dafny prelude is missing declaration of type NameFamily");
} else if (datatypeType == null) {
Console.WriteLine("Error: Dafny prelude is missing declaration of type DatatypeType");
} else if (handleType == null) {
Console.WriteLine("Error: Dafny prelude is missing declaration of type HandleType");
} else if (layerType == null) {
Console.WriteLine("Error: Dafny prelude is missing declaration of type LayerType");
} else if (dtCtorId == null) {
Console.WriteLine("Error: Dafny prelude is missing declaration of type DtCtorId");
} else if (charType == null) {
Console.WriteLine("Error: Dafny prelude is missing declaration of type char");
} else if (refType == null) {
Console.WriteLine("Error: Dafny prelude is missing declaration of type ref");
} else if (boxType == null) {
Console.WriteLine("Error: Dafny prelude is missing declaration of type Box");
} else if (tickType == null) {
Console.WriteLine("Error: Dafny prelude is missing declaration of type TickType");
} else if (heap == null) {
Console.WriteLine("Error: Dafny prelude is missing declaration of $Heap");
} else if (allocField == null) {
Console.WriteLine("Error: Dafny prelude is missing declaration of constant alloc");
} else if (tuple2TypeConstructor == null) {
Console.WriteLine("Error: Dafny prelude is missing declaration of tuple2TypeConstructor");
} else if (objectTypeConstructor == null) {
Console.WriteLine("Error: Dafny prelude is missing declaration of objectTypeConstructor");
} else {
return new PredefinedDecls(charType, refType, boxType, tickType,
setTypeCtor, isetTypeCtor, multiSetTypeCtor,
mapTypeCtor, imapTypeCtor,
arrayLength, realFloor,
ORDINAL_isLimit, ORDINAL_isSucc, ORDINAL_offset, ORDINAL_isNat,
mapDomain, imapDomain,
mapValues, imapValues, mapItems, imapItems,
objectTypeConstructor,
tuple2Destructors0, tuple2Destructors1, tuple2Constructor, tuple2TypeConstructor,
seqTypeCtor, bv0TypeDecl,
fieldNameType, tyType, tyTagType, tyTagFamilyType,
heap, classNameType, nameFamilyType,
datatypeType, handleType, layerType, dtCtorId,
allocField);
}
return null;
}
static Bpl.Program ReadPrelude() {
string preludePath = DafnyOptions.O.DafnyPrelude;
if (preludePath == null) {
//using (System.IO.Stream stream = cce.NonNull( System.Reflection.Assembly.GetExecutingAssembly().GetManifestResourceStream("DafnyPrelude.bpl")) // Use this once Spec#/VSIP supports designating a non-.resx project item as an embedded resource
string codebase = cce.NonNull(System.IO.Path.GetDirectoryName(cce.NonNull(System.Reflection.Assembly.GetExecutingAssembly().Location)));
preludePath = System.IO.Path.Combine(codebase, "DafnyPrelude.bpl");
}
Bpl.Program prelude;
var defines = new List<string>();
if (6 <= DafnyOptions.O.ArithMode) {
defines.Add("ARITH_DISTR");
}
if (8 <= DafnyOptions.O.ArithMode) {
defines.Add("ARITH_MUL_DIV_MOD");
}
if (9 <= DafnyOptions.O.ArithMode) {
defines.Add("ARITH_MUL_SIGN");
}
if (10 <= DafnyOptions.O.ArithMode) {
defines.Add("ARITH_MUL_COMM");
defines.Add("ARITH_MUL_ASSOC");
}
int errorCount = BplParser.Parse(preludePath, defines, out prelude);
if (prelude == null || errorCount > 0) {
return null;
} else {
return prelude;
}
}
public Bpl.IdentifierExpr TrVar(IToken tok, IVariable var) {
Contract.Requires(var != null);
Contract.Requires(tok != null);
Contract.Ensures(Contract.Result<Bpl.IdentifierExpr>() != null);
return new Bpl.IdentifierExpr(tok, var.AssignUniqueName(currentDeclaration.IdGenerator), TrType(var.Type));
}
private Bpl.Program DoTranslation(Program p, ModuleDefinition forModule) {
program = p;
Type.EnableScopes();
EstablishModuleScope(p.BuiltIns.SystemModule, forModule);
Type.PushScope(this.currentScope);
foreach (var w in program.BuiltIns.Bitwidths) {
// type axioms
AddBitvectorTypeAxioms(w);
// bitwise operations
AddBitvectorFunction(w, "and_bv", "bvand");
AddBitvectorFunction(w, "or_bv", "bvor");
AddBitvectorFunction(w, "xor_bv", "bvxor"); // Z3 supports this, but it seems not to be in the SMT-LIB 2 standard
AddBitvectorFunction(w, "not_bv", "bvnot", false);
// arithmetic operations
AddBitvectorFunction(w, "add_bv", "bvadd");
AddBitvectorFunction(w, "sub_bv", "bvsub"); // Z3 supports this, but it seems not to be in the SMT-LIB 2 standard
AddBitvectorFunction(w, "mul_bv", "bvmul");
AddBitvectorFunction(w, "div_bv", "bvudiv");
AddBitvectorFunction(w, "mod_bv", "bvurem");
// comparisons
AddBitvectorFunction(w, "lt_bv", "bvult", true, Bpl.Type.Bool, false);
AddBitvectorFunction(w, "le_bv", "bvule", true, Bpl.Type.Bool, true); // Z3 supports this, but it seems not to be in the SMT-LIB 2 standard
AddBitvectorFunction(w, "ge_bv", "bvuge", true, Bpl.Type.Bool, true); // Z3 supports this, but it seems not to be in the SMT-LIB 2 standard
AddBitvectorFunction(w, "gt_bv", "bvugt", true, Bpl.Type.Bool, false); // Z3 supports this, but it seems not to be in the SMT-LIB 2 standard
// shifts
AddBitvectorShiftFunction(w, "LeftShift_bv", "bvshl");
AddBitvectorShiftFunction(w, "RightShift_bv", "bvlshr");
// rotates
AddBitvectorShiftFunction(w, "LeftRotate_bv", "ext_rotate_left");
AddBitvectorShiftFunction(w, "RightRotate_bv", "ext_rotate_right");
// conversion functions
AddBitvectorNatConversionFunction(w);
}
foreach (TopLevelDecl d in program.BuiltIns.SystemModule.TopLevelDecls) {
currentDeclaration = d;
if (d is OpaqueTypeDecl) {
var dd = (OpaqueTypeDecl)d;
AddTypeDecl(dd);
AddClassMembers(dd, true, true);
} else if (d is NewtypeDecl) {
var dd = (NewtypeDecl)d;
AddTypeDecl(dd);
AddClassMembers(dd, true, true);
} else if (d is SubsetTypeDecl) {
AddTypeDecl((SubsetTypeDecl)d);
} else if (d is TypeSynonymDecl) {
// do nothing, just bypass type synonyms in the translation
} else if (d is DatatypeDecl) {
var dd = (DatatypeDecl)d;
AddDatatype(dd);
AddClassMembers(dd, true, true);
} else if (d is ArrowTypeDecl) {
var ad = (ArrowTypeDecl)d;
GetClassTyCon(ad);
AddArrowTypeAxioms(ad);
} else if (d is ClassDecl) {
var cl = (ClassDecl)d;
AddClassMembers(cl, true, true);
if (cl.NonNullTypeDecl != null) {
AddTypeDecl(cl.NonNullTypeDecl);
}
} else {
Contract.Assert(d is ValuetypeDecl);
}
}
ComputeFunctionFuel(); // compute which function needs fuel constants.
//translate us first
List<ModuleDefinition> mods = program.RawModules().ToList();
mods.Remove(forModule);
mods.Insert(0, forModule);
foreach (ModuleDefinition m in mods) {
foreach (TopLevelDecl d in m.TopLevelDecls.FindAll(VisibleInScope)) {
currentDeclaration = d;
if (d is OpaqueTypeDecl) {
var dd = (OpaqueTypeDecl)d;
AddTypeDecl(dd);
AddClassMembers(dd, true, true);
} else if (d is ModuleDecl) {
// submodules have already been added as a top level module, ignore this.
} else if (d is RevealableTypeDecl) {
AddTypeDecl((RevealableTypeDecl)d);
} else {
Contract.Assert(false);
}
}
}
foreach (var c in tytagConstants.Values) {
sink.AddTopLevelDeclaration(c);
}
foreach (var c in fieldConstants.Values) {
sink.AddTopLevelDeclaration(c);
}
AddTraitParentAxioms();
if (InsertChecksums) {
foreach (var impl in sink.Implementations) {
if (impl.FindStringAttribute("checksum") == null) {
impl.AddAttribute("checksum", "stable");
}
}
foreach (var func in sink.Functions) {
if (func.FindStringAttribute("checksum") == null) {
func.AddAttribute("checksum", "stable");
}
}
}
Type.PopScope(this.currentScope);
Type.DisableScopes();
return sink;
}
// Don't verify modules which only contain other modules
private static bool ShouldVerifyModule(ModuleDefinition m) {
if (!m.IsToBeVerified && !DafnyOptions.O.VerifyAllModules) {
return false;
}
foreach (var top in m.TopLevelDecls) {
if (top is DefaultClassDecl) {
if (((DefaultClassDecl)top).Members.Count > 0) {
return true;
}
} else if (!(top is ModuleDecl)) {
return true;
}
}
return false;
}
public static IEnumerable<ModuleDefinition> VerifiableModules(Program p) {
return p.RawModules().Where(ShouldVerifyModule);
}
public static IEnumerable<Tuple<string, Bpl.Program>> Translate(Program p, ErrorReporter reporter, TranslatorFlags flags = null) {
Contract.Requires(p != null);
Contract.Requires(p.ModuleSigs.Count > 0);
Type.ResetScopes();
foreach (ModuleDefinition outerModule in VerifiableModules(p)) {
var translator = new Translator(reporter, flags);
if (translator.sink == null || translator.sink == null) {
// something went wrong during construction, which reads the prelude; an error has
// already been printed, so just return an empty program here (which is non-null)
yield return new Tuple<string, Bpl.Program>(outerModule.SanitizedName, new Bpl.Program());
}
yield return new Tuple<string, Bpl.Program>(outerModule.SanitizedName, translator.DoTranslation(p, outerModule));
}
}
private void AddBitvectorTypeAxioms(int w) {
Contract.Requires(0 <= w);
if (w == 0) {
// the axioms for bv0 are already in DafnyPrelude.bpl
return;
}
// box/unbox axiom
var tok = Token.NoToken;
var printableName = "bv" + w;
var dafnyType = new BitvectorType(w);
var boogieType = BplBvType(w);
var typeTerm = TypeToTy(dafnyType);
AddBoxUnboxAxiom(tok, printableName, typeTerm, boogieType, new List<Variable>());
// axiom (forall v: bv3 :: { $Is(v, TBitvector(3)) } $Is(v, TBitvector(3)));
var vVar = BplBoundVar("v", boogieType, out var v);
var bvs = new List<Variable>() { vVar };
var isBv = MkIs(v, typeTerm);
var tr = BplTrigger(isBv);
sink.AddTopLevelDeclaration(new Bpl.Axiom(tok, new Bpl.ForallExpr(tok, bvs, tr, isBv)));
// axiom (forall v: bv3, heap: Heap :: { $IsAlloc(v, TBitvector(3), h) } $IsAlloc(v, TBitvector(3), heap));
vVar = BplBoundVar("v", boogieType, out v);
var heapVar = BplBoundVar("heap", predef.HeapType, out var heap);
bvs = new List<Variable>() { vVar, heapVar };
var isAllocBv = MkIsAlloc(v, typeTerm, heap);
tr = BplTrigger(isAllocBv);
sink.AddTopLevelDeclaration(new Bpl.Axiom(tok, new Bpl.ForallExpr(tok, bvs, tr, isAllocBv)));
}
/// <summary>
/// Declare and add to the sink a Boogie function named "namePrefix + w".
/// If "binary", then the function takes two arguments; otherwise, it takes one. Arguments have the type
/// corresponding to the Dafny type for w-width bitvectors.
/// The function's result type is the same as the argument type, unless "resultType" is non-null, in which
/// case the function's result type is "resultType".
/// For w > 0:
/// Attach an attribute {:bvbuiltin smtFunctionName}.
/// For w == 0:
/// Attach an attribute {:inline} and add a .Body to the function.
/// If "resultType" is null, then use 0 as the body; otherwise, use "bodyForBv0" as the body (which
/// assumes "resultType" is actually Bpl.Type.Bool).
/// </summary>
private void AddBitvectorFunction(int w, string namePrefix, string smtFunctionName, bool binary = true, Bpl.Type resultType = null, bool bodyForBv0 = false) {
Contract.Requires(0 <= w);
Contract.Requires(namePrefix != null);
Contract.Requires(smtFunctionName != null);
var tok = Token.NoToken;
var t = BplBvType(w);
List<Bpl.Variable> args;
if (binary) {
var a0 = BplFormalVar(null, t, true);
var a1 = BplFormalVar(null, t, true);
args = new List<Variable>() { a0, a1 };
} else {
var a0 = BplFormalVar(null, t, true);
args = new List<Variable>() { a0 };
}
var r = BplFormalVar(null, resultType ?? t, false);
Bpl.QKeyValue attr;
if (w == 0) {
attr = InlineAttribute(tok);
} else {
attr = new Bpl.QKeyValue(tok, "bvbuiltin", new List<object>() { smtFunctionName }, null);
}
var func = new Bpl.Function(tok, namePrefix + w, new List<TypeVariable>(), args, r, null, attr);
if (w == 0) {
if (resultType != null) {
func.Body = Bpl.Expr.Literal(bodyForBv0);
} else {
func.Body = BplBvLiteralExpr(tok, BaseTypes.BigNum.ZERO, w);
}
}
sink.AddTopLevelDeclaration(func);
}
private void AddBitvectorShiftFunction(int w, string namePrefix, string smtFunctionName) {
Contract.Requires(0 <= w);
Contract.Requires(namePrefix != null);
Contract.Requires(smtFunctionName != null);
var tok = Token.NoToken;
var t = BplBvType(w);
List<Bpl.Variable> args;
var a0 = BplFormalVar(null, t, true);
var a1 = BplFormalVar(null, t, true);
args = new List<Variable>() { a0, a1 };
var r = BplFormalVar(null, t, false);
Bpl.QKeyValue attr;
if (w == 0) {
attr = InlineAttribute(tok);
} else {
attr = new Bpl.QKeyValue(tok, "bvbuiltin", new List<object>() { smtFunctionName }, null);
}
var func = new Bpl.Function(tok, namePrefix + w, new List<TypeVariable>(), args, r, null, attr);
if (w == 0) {
func.Body = BplBvLiteralExpr(tok, BaseTypes.BigNum.ZERO, w);
}
sink.AddTopLevelDeclaration(func);
}
private void AddBitvectorNatConversionFunction(int w) {
Contract.Requires(0 <= w);
var tok = Token.NoToken;
var bv = BplBvType(w);
Bpl.QKeyValue attr;
Bpl.Function func;
// function {:bvbuiltin "(_ int2bv 67)"} nat_to_bv67(int) : bv67;
// OR:
// function {:inline} nat_to_bv0(int) : Bv0 { ZERO }
if (w == 0) {
attr = InlineAttribute(tok);
} else {
var smt_int2bv = string.Format("(_ int2bv {0})", w);
attr = new Bpl.QKeyValue(tok, "bvbuiltin", new List<object>() { smt_int2bv }, null); // SMT-LIB 2 calls this function nat2bv, but Z3 apparently calls it int2bv
}
func = new Bpl.Function(tok, "nat_to_bv" + w, new List<TypeVariable>(),
new List<Variable>() { BplFormalVar(null, Bpl.Type.Int, true) }, BplFormalVar(null, bv, false),
null, attr);
if (w == 0) {
func.Body = BplBvLiteralExpr(tok, BaseTypes.BigNum.ZERO, w);
}
sink.AddTopLevelDeclaration(func);
if (w == 0) {
// function {:inline} nat_from_bv0_smt(Bv0) : int { 0 }
attr = InlineAttribute(tok);
func = new Bpl.Function(tok, "nat_from_bv" + w, new List<TypeVariable>(),
new List<Variable>() { BplFormalVar(null, bv, true) }, BplFormalVar(null, Bpl.Type.Int, false),
null, attr);
func.Body = Bpl.Expr.Literal(0);
sink.AddTopLevelDeclaration(func);
} else {
// function {:bvbuiltin "bv2int"} smt_nat_from_bv67(bv67) : int;
attr = new Bpl.QKeyValue(tok, "bvbuiltin", new List<object>() { "bv2int" }, null); // SMT-LIB 2 calls this function bv2nat, but Z3 apparently calls it bv2int
var smtFunc = new Bpl.Function(tok, "smt_nat_from_bv" + w, new List<TypeVariable>(),
new List<Variable>() { BplFormalVar(null, bv, true) }, BplFormalVar(null, Bpl.Type.Int, false),
null, attr);
sink.AddTopLevelDeclaration(smtFunc);
// function nat_from_bv67(bv67) : int;
func = new Bpl.Function(tok, "nat_from_bv" + w, new List<TypeVariable>(),
new List<Variable>() { BplFormalVar(null, bv, true) }, BplFormalVar(null, Bpl.Type.Int, false),
null, null);