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+//-----------------------------------------------------------------------------
+//
+// Copyright (C) Microsoft Corporation. All Rights Reserved.
+//
+//-----------------------------------------------------------------------------
+using PureCollections;
+using System.Collections;
+using System.Collections.Generic;
+using Microsoft.Boogie;
+using Microsoft.Basetypes;
+using Bpl = Microsoft.Boogie;
+using AI = Microsoft.AbstractInterpretationFramework;
+using System;
+using Microsoft.Contracts;
+
+namespace BoogiePL {
+
+public class Parser {
+ const int maxT = 85;
+
+ const bool T = true;
+ const bool x = false;
+ const int minErrDist = 2;
+
+ static Token/*!*/ token; // last recognized token
+ static Token/*!*/ t; // lookahead token
+ static int errDist = minErrDist;
+
+ static Program! Pgm = new Program();
+
+static Expr! dummyExpr = new LiteralExpr(Token.NoToken, false);
+static Cmd! dummyCmd = new AssumeCmd(Token.NoToken, dummyExpr);
+static Block! dummyBlock = new Block(Token.NoToken, "dummyBlock", new CmdSeq(),
+ new ReturnCmd(Token.NoToken));
+static Bpl.Type! dummyType = new BasicType(Token.NoToken, SimpleType.Bool);
+static Bpl.ExprSeq! dummyExprSeq = new ExprSeq ();
+static TransferCmd! dummyTransferCmd = new ReturnCmd(Token.NoToken);
+static StructuredCmd! dummyStructuredCmd = new BreakCmd(Token.NoToken, null);
+
+///<summary>
+///Returns the number of parsing errors encountered. If 0, "program" returns as
+///the parsed program.
+///</summary>
+public static int Parse (string! filename, out /*maybe null*/ Program program) /* throws System.IO.IOException */ {
+ using (System.IO.StreamReader reader = new System.IO.StreamReader(filename)) {
+ Buffer.Fill(reader);
+ Scanner.Init(filename);
+ return Parse(out program);
+ }
+}
+
+///<summary>
+///Returns the number of parsing errors encountered. If 0, "program" returns as
+///the parsed program.
+///Note: first initialize the Scanner.
+///</summary>
+public static int Parse (out /*maybe null*/ Program program) {
+ Pgm = new Program(); // reset the global variable
+ Parse();
+ if (Errors.count == 0)
+ {
+ program = Pgm;
+ return 0;
+ }
+ else
+ {
+ program = null;
+ return Errors.count;
+ }
+}
+
+
+public static int ParseProposition (string! text, out Expr! expression)
+{
+ Buffer.Fill(text);
+ Scanner.Init(string.Format("\"{0}\"", text));
+
+ Errors.SynErr = new ErrorProc(SynErr);
+ t = new Token();
+ Get();
+ Proposition(out expression);
+ return Errors.count;
+}
+
+// Class to represent the bounds of a bitvector expression t[a:b].
+// Objects of this class only exist during parsing and are directly
+// turned into BvExtract before they get anywhere else
+private class BvBounds : Expr {
+ public BigNum Lower;
+ public BigNum Upper;
+ public BvBounds(IToken! tok, BigNum lower, BigNum upper) {
+ base(tok);
+ this.Lower = lower;
+ this.Upper = upper;
+ }
+ public override Type! ShallowType { get { return Bpl.Type.Int; } }
+ public override void Resolve(ResolutionContext! rc) {
+ rc.Error(this, "bitvector bounds in illegal position");
+ }
+ public override void Emit(TokenTextWriter! stream,
+ int contextBindingStrength, bool fragileContext) {
+ assert false;
+ }
+ public override void ComputeFreeVariables(Set! freeVars) { assert false; }
+ public override AI.IExpr! IExpr { get { assert false; } }
+}
+
+/*--------------------------------------------------------------------------*/
+
+
+ static void Error(int n) {
+ if (errDist >= minErrDist) Errors.SynErr(n, t.filename, t.line, t.col);
+ errDist = 0;
+ }
+
+ public static void SemErr(string! msg) {
+ if (errDist >= minErrDist) Errors.SemErr(token.filename, token.line, token.col, msg);
+ errDist = 0;
+ }
+
+ static void Get() {
+ for (;;) {
+ token = t;
+ t = Scanner.Scan();
+ if (t.kind<=maxT) {errDist++; return;}
+
+ t = token;
+ }
+ }
+
+ static void Expect(int n) {
+ if (t.kind==n) Get(); else Error(n);
+ }
+
+ static bool StartOf(int s) {
+ return set[s, t.kind];
+ }
+
+ static void ExpectWeak(int n, int follow) {
+ if (t.kind == n) Get();
+ else {
+ Error(n);
+ while (!StartOf(follow)) Get();
+ }
+ }
+
+ static bool WeakSeparator(int n, int syFol, int repFol) {
+ bool[] s = new bool[maxT+1];
+ if (t.kind == n) {Get(); return true;}
+ else if (StartOf(repFol)) return false;
+ else {
+ for (int i=0; i <= maxT; i++) {
+ s[i] = set[syFol, i] || set[repFol, i] || set[0, i];
+ }
+ Error(n);
+ while (!s[t.kind]) Get();
+ return StartOf(syFol);
+ }
+ }
+
+ static void BoogiePL() {
+ VariableSeq! vs;
+ DeclarationSeq! ds;
+ Axiom! ax;
+ List<Declaration!>! ts;
+ Procedure! pr;
+ Implementation im;
+ Implementation! nnim;
+
+ while (StartOf(1)) {
+ switch (t.kind) {
+ case 19: {
+ Consts(out vs);
+ foreach (Bpl.Variable! v in vs) { Pgm.TopLevelDeclarations.Add(v); }
+ break;
+ }
+ case 23: {
+ Function(out ds);
+ foreach (Bpl.Declaration! d in ds) { Pgm.TopLevelDeclarations.Add(d); }
+ break;
+ }
+ case 27: {
+ Axiom(out ax);
+ Pgm.TopLevelDeclarations.Add(ax);
+ break;
+ }
+ case 28: {
+ UserDefinedTypes(out ts);
+ foreach (Declaration! td in ts) {
+ Pgm.TopLevelDeclarations.Add(td);
+ }
+ break;
+ }
+ case 6: {
+ GlobalVars(out vs);
+ foreach (Bpl.Variable! v in vs) { Pgm.TopLevelDeclarations.Add(v); }
+ break;
+ }
+ case 30: {
+ Procedure(out pr, out im);
+ Pgm.TopLevelDeclarations.Add(pr);
+ if (im != null) {
+ Pgm.TopLevelDeclarations.Add(im);
+ }
+
+ break;
+ }
+ case 31: {
+ Implementation(out nnim);
+ Pgm.TopLevelDeclarations.Add(nnim);
+ break;
+ }
+ }
+ }
+ Expect(0);
+ }
+
+ static void Consts(out VariableSeq! ds) {
+ IToken! y; TypedIdentSeq! xs;
+ ds = new VariableSeq();
+ bool u = false; QKeyValue kv = null;
+ bool ChildrenComplete = false;
+ List<ConstantParent!> Parents = null;
+ Expect(19);
+ y = token;
+ while (t.kind == 25) {
+ Attribute(ref kv);
+ }
+ if (t.kind == 20) {
+ Get();
+ u = true;
+ }
+ IdsType(out xs);
+ if (t.kind == 21) {
+ OrderSpec(out ChildrenComplete, out Parents);
+ }
+ bool makeClone = false;
+ foreach(TypedIdent! x in xs) {
+ // ensure that no sharing is introduced
+ List<ConstantParent!> ParentsClone;
+ if (makeClone && Parents != null) {
+ ParentsClone = new List<ConstantParent!> ();
+ foreach (ConstantParent! p in Parents)
+ ParentsClone.Add(new ConstantParent (
+ new IdentifierExpr (p.Parent.tok, p.Parent.Name),
+ p.Unique));
+ } else {
+ ParentsClone = Parents;
+ }
+ makeClone = true;
+ ds.Add(new Constant(y, x, u, ParentsClone, ChildrenComplete, kv));
+ }
+
+ Expect(7);
+ }
+
+ static void Function(out DeclarationSeq! ds) {
+ ds = new DeclarationSeq(); IToken! z;
+ IToken! typeParamTok;
+ TypeVariableSeq! typeParams = new TypeVariableSeq();
+ VariableSeq arguments = new VariableSeq();
+ TypedIdent! tyd;
+ QKeyValue kv = null;
+ Expr definition = null;
+ Expr! tmp;
+
+ Expect(23);
+ while (t.kind == 25) {
+ Attribute(ref kv);
+ }
+ Ident(out z);
+ if (t.kind == 17) {
+ TypeParams(out typeParamTok, out typeParams);
+ }
+ Expect(8);
+ if (StartOf(2)) {
+ VarOrType(out tyd);
+ arguments.Add(new Formal(tyd.tok, tyd, true));
+ while (t.kind == 11) {
+ Get();
+ VarOrType(out tyd);
+ arguments.Add(new Formal(tyd.tok, tyd, true));
+ }
+ }
+ Expect(9);
+ Expect(24);
+ Expect(8);
+ VarOrType(out tyd);
+ Expect(9);
+ if (t.kind == 25) {
+ Get();
+ Expression(out tmp);
+ definition = tmp;
+ Expect(26);
+ } else if (t.kind == 7) {
+ Get();
+ } else Error(86);
+ Function! func = new Function(z, z.val, typeParams, arguments,
+ new Formal(tyd.tok, tyd, false), null, kv);
+ ds.Add(func);
+ if (definition != null) {
+ // generate either an axiom or a function body
+ if (QKeyValue.FindBoolAttribute(kv, "inline")) {
+ func.Body = definition;
+ } else {
+ VariableSeq dummies = new VariableSeq();
+ ExprSeq callArgs = new ExprSeq();
+ int i = 0;
+ foreach (Formal! f in arguments) {
+ string nm = f.TypedIdent.HasName ? f.TypedIdent.Name : "_" + i;
+ dummies.Add(new BoundVariable(f.tok, new TypedIdent(f.tok, nm, f.TypedIdent.Type)));
+ callArgs.Add(new IdentifierExpr(f.tok, nm));
+ i++;
+ }
+ TypeVariableSeq! quantifiedTypeVars = new TypeVariableSeq ();
+ foreach (TypeVariable! t in typeParams)
+ quantifiedTypeVars.Add(new TypeVariable (Token.NoToken, t.Name));
+ Expr call = new NAryExpr(z, new FunctionCall(new IdentifierExpr(z, z.val)), callArgs);
+ // specify the type of the function, because it might be that
+ // type parameters only occur in the output type
+ call = Expr.CoerceType(z, call, (Type)tyd.Type.Clone());
+ Expr def = new ForallExpr(z, quantifiedTypeVars, dummies,
+ kv,
+ new Trigger(z, true, new ExprSeq(call), null),
+ Expr.Eq(call, definition));
+ ds.Add(new Axiom(z, def, "autogenerated definition axiom", null));
+ }
+ }
+
+ }
+
+ static void Axiom(out Axiom! m) {
+ Expr! e; QKeyValue kv = null;
+ Expect(27);
+ while (t.kind == 25) {
+ Attribute(ref kv);
+ }
+ IToken! x = token;
+ Proposition(out e);
+ Expect(7);
+ m = new Axiom(x,e, null, kv);
+ }
+
+ static void UserDefinedTypes(out List<Declaration!>! ts) {
+ Declaration! decl; QKeyValue kv = null; ts = new List<Declaration!> ();
+ Expect(28);
+ while (t.kind == 25) {
+ Attribute(ref kv);
+ }
+ UserDefinedType(out decl, kv);
+ ts.Add(decl);
+ while (t.kind == 11) {
+ Get();
+ UserDefinedType(out decl, kv);
+ ts.Add(decl);
+ }
+ Expect(7);
+ }
+
+ static void GlobalVars(out VariableSeq! ds) {
+ TypedIdentSeq! tyds = new TypedIdentSeq(); ds = new VariableSeq(); QKeyValue kv = null;
+ Expect(6);
+ while (t.kind == 25) {
+ Attribute(ref kv);
+ }
+ IdsTypeWheres(true, tyds);
+ Expect(7);
+ foreach(TypedIdent! tyd in tyds) {
+ ds.Add(new GlobalVariable(tyd.tok, tyd, kv));
+ }
+
+ }
+
+ static void Procedure(out Procedure! proc, out /*maybe null*/ Implementation impl) {
+ IToken! x;
+ TypeVariableSeq! typeParams;
+ VariableSeq! ins, outs;
+ RequiresSeq! pre = new RequiresSeq();
+ IdentifierExprSeq! mods = new IdentifierExprSeq();
+ EnsuresSeq! post = new EnsuresSeq();
+ VariableSeq! locals = new VariableSeq();
+ StmtList! stmtList;
+ QKeyValue kv = null;
+ impl = null;
+
+ Expect(30);
+ ProcSignature(true, out x, out typeParams, out ins, out outs, out kv);
+ if (t.kind == 7) {
+ Get();
+ while (StartOf(3)) {
+ Spec(pre, mods, post);
+ }
+ } else if (StartOf(4)) {
+ while (StartOf(3)) {
+ Spec(pre, mods, post);
+ }
+ ImplBody(out locals, out stmtList);
+ // here we attach kv only to the Procedure, not its implementation
+ impl = new Implementation(x, x.val, typeParams,
+ Formal.StripWhereClauses(ins), Formal.StripWhereClauses(outs), locals, stmtList, null);
+
+ } else Error(87);
+ proc = new Procedure(x, x.val, typeParams, ins, outs, pre, mods, post, kv);
+ }
+
+ static void Implementation(out Implementation! impl) {
+ IToken! x;
+ TypeVariableSeq! typeParams;
+ VariableSeq! ins, outs;
+ VariableSeq! locals;
+ StmtList! stmtList;
+ QKeyValue kv;
+
+ Expect(31);
+ ProcSignature(false, out x, out typeParams, out ins, out outs, out kv);
+ ImplBody(out locals, out stmtList);
+ impl = new Implementation(x, x.val, typeParams, ins, outs, locals, stmtList, kv);
+ }
+
+ static void Attribute(ref QKeyValue kv) {
+ Trigger trig = null;
+ AttributeOrTrigger(ref kv, ref trig);
+ if (trig != null) SemErr("only attributes, not triggers, allowed here");
+ }
+
+ static void IdsTypeWheres(bool allowWhereClauses, TypedIdentSeq! tyds) {
+ IdsTypeWhere(allowWhereClauses, tyds);
+ while (t.kind == 11) {
+ Get();
+ IdsTypeWhere(allowWhereClauses, tyds);
+ }
+ }
+
+ static void LocalVars(VariableSeq! ds) {
+ TypedIdentSeq! tyds = new TypedIdentSeq(); QKeyValue kv = null;
+ Expect(6);
+ while (t.kind == 25) {
+ Attribute(ref kv);
+ }
+ IdsTypeWheres(true, tyds);
+ Expect(7);
+ foreach(TypedIdent! tyd in tyds) {
+ ds.Add(new LocalVariable(tyd.tok, tyd, kv));
+ }
+
+ }
+
+ static void ProcFormals(bool incoming, bool allowWhereClauses, out VariableSeq! ds) {
+ TypedIdentSeq! tyds = new TypedIdentSeq(); ds = new VariableSeq();
+ Expect(8);
+ if (t.kind == 1) {
+ IdsTypeWheres(allowWhereClauses, tyds);
+ }
+ Expect(9);
+ foreach (TypedIdent! tyd in tyds) {
+ ds.Add(new Formal(tyd.tok, tyd, incoming));
+ }
+
+ }
+
+ static void BoundVars(IToken! x, out VariableSeq! ds) {
+ TypedIdentSeq! tyds = new TypedIdentSeq(); ds = new VariableSeq();
+ IdsTypeWheres(false, tyds);
+ foreach (TypedIdent! tyd in tyds) {
+ ds.Add(new BoundVariable(tyd.tok, tyd));
+ }
+
+ }
+
+ static void IdsType(out TypedIdentSeq! tyds) {
+ TokenSeq! ids; Bpl.Type! ty;
+ Idents(out ids);
+ Expect(10);
+ Type(out ty);
+ tyds = new TypedIdentSeq();
+ foreach (Token! id in ids) {
+ tyds.Add(new TypedIdent(id, id.val, ty, null));
+ }
+
+ }
+
+ static void Idents(out TokenSeq! xs) {
+ IToken! id; xs = new TokenSeq();
+ Ident(out id);
+ xs.Add(id);
+ while (t.kind == 11) {
+ Get();
+ Ident(out id);
+ xs.Add(id);
+ }
+ }
+
+ static void Type(out Bpl.Type! ty) {
+ IToken! tok; ty = dummyType;
+ if (t.kind == 8 || t.kind == 13 || t.kind == 14) {
+ TypeAtom(out ty);
+ } else if (t.kind == 1) {
+ Ident(out tok);
+ TypeSeq! args = new TypeSeq ();
+ if (StartOf(2)) {
+ TypeArgs(args);
+ }
+ ty = new UnresolvedTypeIdentifier (tok, tok.val, args);
+ } else if (t.kind == 15 || t.kind == 17) {
+ MapType(out ty);
+ } else Error(88);
+ }
+
+ static void IdsTypeWhere(bool allowWhereClauses, TypedIdentSeq! tyds) {
+ TokenSeq! ids; Bpl.Type! ty; Expr wh = null; Expr! nne;
+ Idents(out ids);
+ Expect(10);
+ Type(out ty);
+ if (t.kind == 12) {
+ Get();
+ Expression(out nne);
+ if (allowWhereClauses) {
+ wh = nne;
+ } else {
+ SemErr("where clause not allowed here");
+ }
+
+ }
+ foreach (Token! id in ids) {
+ tyds.Add(new TypedIdent(id, id.val, ty, wh));
+ }
+
+ }
+
+ static void Expression(out Expr! e0) {
+ IToken! x; Expr! e1;
+ ImpliesExpression(false, out e0);
+ while (t.kind == 52 || t.kind == 53) {
+ EquivOp();
+ x = token;
+ ImpliesExpression(false, out e1);
+ e0 = Expr.Binary(x, BinaryOperator.Opcode.Iff, e0, e1);
+ }
+ }
+
+ static void TypeAtom(out Bpl.Type! ty) {
+ ty = dummyType;
+ if (t.kind == 13) {
+ Get();
+ ty = new BasicType(token, SimpleType.Int);
+ } else if (t.kind == 14) {
+ Get();
+ ty = new BasicType(token, SimpleType.Bool);
+ } else if (t.kind == 8) {
+ Get();
+ Type(out ty);
+ Expect(9);
+ } else Error(89);
+ }
+
+ static void Ident(out IToken! x) {
+ Expect(1);
+ x = token;
+ if (x.val.StartsWith("\\"))
+ x.val = x.val.Substring(1);
+
+ }
+
+ static void TypeArgs(TypeSeq! ts) {
+ IToken! tok; Type! ty;
+ if (t.kind == 8 || t.kind == 13 || t.kind == 14) {
+ TypeAtom(out ty);
+ ts.Add(ty);
+ if (StartOf(2)) {
+ TypeArgs(ts);
+ }
+ } else if (t.kind == 1) {
+ Ident(out tok);
+ TypeSeq! args = new TypeSeq ();
+ ts.Add(new UnresolvedTypeIdentifier (tok, tok.val, args));
+ if (StartOf(2)) {
+ TypeArgs(ts);
+ }
+ } else if (t.kind == 15 || t.kind == 17) {
+ MapType(out ty);
+ ts.Add(ty);
+ } else Error(90);
+ }
+
+ static void MapType(out Bpl.Type! ty) {
+ IToken tok = null;
+ IToken! nnTok;
+ TypeSeq! arguments = new TypeSeq();
+ Type! result;
+ TypeVariableSeq! typeParameters = new TypeVariableSeq();
+
+ if (t.kind == 17) {
+ TypeParams(out nnTok, out typeParameters);
+ tok = nnTok;
+ }
+ Expect(15);
+ if (tok == null) tok = token;
+ if (StartOf(2)) {
+ Types(arguments);
+ }
+ Expect(16);
+ Type(out result);
+ ty = new MapType(tok, typeParameters, arguments, result);
+
+ }
+
+ static void TypeParams(out IToken! tok, out Bpl.TypeVariableSeq! typeParams) {
+ TokenSeq! typeParamToks;
+ Expect(17);
+ tok = token;
+ Idents(out typeParamToks);
+ Expect(18);
+ typeParams = new TypeVariableSeq ();
+ foreach (Token! id in typeParamToks)
+ typeParams.Add(new TypeVariable(id, id.val));
+
+ }
+
+ static void Types(TypeSeq! ts) {
+ Bpl.Type! ty;
+ Type(out ty);
+ ts.Add(ty);
+ while (t.kind == 11) {
+ Get();
+ Type(out ty);
+ ts.Add(ty);
+ }
+ }
+
+ static void OrderSpec(out bool ChildrenComplete, out List<ConstantParent!> Parents) {
+ ChildrenComplete = false;
+ Parents = null;
+ bool u;
+ IToken! parent;
+ Expect(21);
+ Parents = new List<ConstantParent!> ();
+ u = false;
+ if (t.kind == 1 || t.kind == 20) {
+ if (t.kind == 20) {
+ Get();
+ u = true;
+ }
+ Ident(out parent);
+ Parents.Add(new ConstantParent (
+ new IdentifierExpr(parent, parent.val), u));
+ while (t.kind == 11) {
+ Get();
+ u = false;
+ if (t.kind == 20) {
+ Get();
+ u = true;
+ }
+ Ident(out parent);
+ Parents.Add(new ConstantParent (
+ new IdentifierExpr(parent, parent.val), u));
+ }
+ }
+ if (t.kind == 22) {
+ Get();
+ ChildrenComplete = true;
+ }
+ }
+
+ static void VarOrType(out TypedIdent! tyd) {
+ string! varName = ""; Bpl.Type! ty; IToken! tok;
+ Type(out ty);
+ tok = ty.tok;
+ if (t.kind == 10) {
+ Get();
+ if (ty is UnresolvedTypeIdentifier &&
+ ((!)(ty as UnresolvedTypeIdentifier)).Arguments.Length == 0) {
+ varName = ((!)(ty as UnresolvedTypeIdentifier)).Name;
+ } else {
+ SemErr("expected identifier before ':'");
+ }
+
+ Type(out ty);
+ }
+ tyd = new TypedIdent(tok, varName, ty);
+ }
+
+ static void Proposition(out Expr! e) {
+ Expression(out e);
+ }
+
+ static void UserDefinedType(out Declaration! decl, QKeyValue kv) {
+ IToken! id; IToken! id2; TokenSeq! paramTokens = new TokenSeq ();
+ Type! body = dummyType; bool synonym = false;
+ Ident(out id);
+ if (t.kind == 1) {
+ WhiteSpaceIdents(out paramTokens);
+ }
+ if (t.kind == 29) {
+ Get();
+ Type(out body);
+ synonym = true;
+ }
+ if (synonym) {
+ TypeVariableSeq! typeParams = new TypeVariableSeq();
+ foreach (Token! t in paramTokens)
+ typeParams.Add(new TypeVariable(t, t.val));
+ decl = new TypeSynonymDecl(id, id.val, typeParams, body, kv);
+ } else {
+ decl = new TypeCtorDecl(id, id.val, paramTokens.Length, kv);
+ }
+
+ }
+
+ static void WhiteSpaceIdents(out TokenSeq! xs) {
+ IToken! id; xs = new TokenSeq();
+ Ident(out id);
+ xs.Add(id);
+ while (t.kind == 1) {
+ Ident(out id);
+ xs.Add(id);
+ }
+ }
+
+ static void ProcSignature(bool allowWhereClausesOnFormals, out IToken! name, out TypeVariableSeq! typeParams,
+out VariableSeq! ins, out VariableSeq! outs, out QKeyValue kv) {
+ IToken! typeParamTok; typeParams = new TypeVariableSeq();
+ outs = new VariableSeq(); kv = null;
+ while (t.kind == 25) {
+ Attribute(ref kv);
+ }
+ Ident(out name);
+ if (t.kind == 17) {
+ TypeParams(out typeParamTok, out typeParams);
+ }
+ ProcFormals(true, allowWhereClausesOnFormals, out ins);
+ if (t.kind == 24) {
+ Get();
+ ProcFormals(false, allowWhereClausesOnFormals, out outs);
+ }
+ }
+
+ static void Spec(RequiresSeq! pre, IdentifierExprSeq! mods, EnsuresSeq! post) {
+ TokenSeq! ms;
+ if (t.kind == 32) {
+ Get();
+ if (t.kind == 1) {
+ Idents(out ms);
+ foreach (IToken! m in ms) {
+ mods.Add(new IdentifierExpr(m, m.val));
+ }
+
+ }
+ Expect(7);
+ } else if (t.kind == 33) {
+ Get();
+ SpecPrePost(true, pre, post);
+ } else if (t.kind == 34 || t.kind == 35) {
+ SpecPrePost(false, pre, post);
+ } else Error(91);
+ }
+
+ static void ImplBody(out VariableSeq! locals, out StmtList! stmtList) {
+ locals = new VariableSeq();
+ Expect(25);
+ while (t.kind == 6) {
+ LocalVars(locals);
+ }
+ StmtList(out stmtList);
+ }
+
+ static void SpecPrePost(bool free, RequiresSeq! pre, EnsuresSeq! post) {
+ Expr! e; VariableSeq! locals; BlockSeq! blocks; Token tok = null; QKeyValue kv = null;
+ if (t.kind == 34) {
+ Get();
+ tok = token;
+ while (t.kind == 25) {
+ Attribute(ref kv);
+ }
+ if (StartOf(5)) {
+ Proposition(out e);
+ Expect(7);
+ pre.Add(new Requires(tok, free, e, null, kv));
+ } else if (t.kind == 36) {
+ SpecBody(out locals, out blocks);
+ Expect(7);
+ pre.Add(new Requires(tok, free, new BlockExpr(locals, blocks), null, kv));
+ } else Error(92);
+ } else if (t.kind == 35) {
+ Get();
+ tok = token;
+ while (t.kind == 25) {
+ Attribute(ref kv);
+ }
+ if (StartOf(5)) {
+ Proposition(out e);
+ Expect(7);
+ post.Add(new Ensures(tok, free, e, null, kv));
+ } else if (t.kind == 36) {
+ SpecBody(out locals, out blocks);
+ Expect(7);
+ post.Add(new Ensures(tok, free, new BlockExpr(locals, blocks), null, kv));
+ } else Error(93);
+ } else Error(94);
+ }
+
+ static void SpecBody(out VariableSeq! locals, out BlockSeq! blocks) {
+ locals = new VariableSeq(); Block! b;
+ Expect(36);
+ while (t.kind == 6) {
+ LocalVars(locals);
+ }
+ SpecBlock(out b);
+ blocks = new BlockSeq(b);
+ while (t.kind == 1) {
+ SpecBlock(out b);
+ blocks.Add(b);
+ }
+ Expect(37);
+ }
+
+ static void SpecBlock(out Block! b) {
+ IToken! x; IToken! y;
+ Cmd c; IToken label;
+ CmdSeq cs = new CmdSeq();
+ TokenSeq! xs;
+ StringSeq ss = new StringSeq();
+ b = dummyBlock;
+ Expr! e;
+
+ Ident(out x);
+ Expect(10);
+ while (StartOf(6)) {
+ LabelOrCmd(out c, out label);
+ if (c != null) {
+ assert label == null;
+ cs.Add(c);
+ } else {
+ assert label != null;
+ SemErr("SpecBlock's can only have one label");
+ }
+
+ }
+ if (t.kind == 38) {
+ Get();
+ y = token;
+ Idents(out xs);
+ foreach (IToken! s in xs) { ss.Add(s.val); }
+ b = new Block(x,x.val,cs,new GotoCmd(y,ss));
+
+ } else if (t.kind == 39) {
+ Get();
+ Expression(out e);
+ b = new Block(x,x.val,cs,new ReturnExprCmd(token,e));
+ } else Error(95);
+ Expect(7);
+ }
+
+ static void LabelOrCmd(out Cmd c, out IToken label) {
+ IToken! x; Expr! e;
+ TokenSeq! xs;
+ IdentifierExprSeq ids;
+ c = dummyCmd; label = null;
+ Cmd! cn;
+ QKeyValue kv = null;
+
+ if (t.kind == 1) {
+ LabelOrAssign(out c, out label);
+ } else if (t.kind == 46) {
+ Get();
+ x = token;
+ while (t.kind == 25) {
+ Attribute(ref kv);
+ }
+ Proposition(out e);
+ c = new AssertCmd(x,e, kv);
+ Expect(7);
+ } else if (t.kind == 47) {
+ Get();
+ x = token;
+ Proposition(out e);
+ c = new AssumeCmd(x,e);
+ Expect(7);
+ } else if (t.kind == 48) {
+ Get();
+ x = token;
+ Idents(out xs);
+ Expect(7);
+ ids = new IdentifierExprSeq();
+ foreach (IToken! y in xs) {
+ ids.Add(new IdentifierExpr(y, y.val));
+ }
+ c = new HavocCmd(x,ids);
+
+ } else if (t.kind == 50) {
+ CallCmd(out cn);
+ Expect(7);
+ c = cn;
+ } else Error(96);
+ }
+
+ static void StmtList(out StmtList! stmtList) {
+ List<BigBlock!> bigblocks = new List<BigBlock!>();
+ /* built-up state for the current BigBlock: */
+ IToken startToken = null; string currentLabel = null;
+ CmdSeq cs = null; /* invariant: startToken != null ==> cs != null */
+ /* temporary variables: */
+ IToken label; Cmd c; BigBlock b;
+ StructuredCmd ec = null; StructuredCmd! ecn;
+ TransferCmd tc = null; TransferCmd! tcn;
+
+ while (StartOf(7)) {
+ if (StartOf(6)) {
+ LabelOrCmd(out c, out label);
+ if (c != null) {
+ // LabelOrCmd read a Cmd
+ assert label == null;
+ if (startToken == null) { startToken = c.tok; cs = new CmdSeq(); }
+ assert cs != null;
+ cs.Add(c);
+ } else {
+ // LabelOrCmd read a label
+ assert label != null;
+ if (startToken != null) {
+ assert cs != null;
+ // dump the built-up state into a BigBlock
+ b = new BigBlock(startToken, currentLabel, cs, null, null);
+ bigblocks.Add(b);
+ cs = null;
+ }
+ startToken = label;
+ currentLabel = label.val;
+ cs = new CmdSeq();
+ }
+
+ } else if (t.kind == 40 || t.kind == 42 || t.kind == 45) {
+ StructuredCmd(out ecn);
+ ec = ecn;
+ if (startToken == null) { startToken = ec.tok; cs = new CmdSeq(); }
+ assert cs != null;
+ b = new BigBlock(startToken, currentLabel, cs, ec, null);
+ bigblocks.Add(b);
+ startToken = null; currentLabel = null; cs = null;
+
+ } else {
+ TransferCmd(out tcn);
+ tc = tcn;
+ if (startToken == null) { startToken = tc.tok; cs = new CmdSeq(); }
+ assert cs != null;
+ b = new BigBlock(startToken, currentLabel, cs, null, tc);
+ bigblocks.Add(b);
+ startToken = null; currentLabel = null; cs = null;
+
+ }
+ }
+ Expect(26);
+ IToken! endCurly = token;
+ if (startToken == null && bigblocks.Count == 0) {
+ startToken = token; cs = new CmdSeq();
+ }
+ if (startToken != null) {
+ assert cs != null;
+ b = new BigBlock(startToken, currentLabel, cs, null, null);
+ bigblocks.Add(b);
+ }
+ stmtList = new StmtList(bigblocks, endCurly);
+
+ }
+
+ static void StructuredCmd(out StructuredCmd! ec) {
+ ec = dummyStructuredCmd; assume ec.IsPeerConsistent;
+ IfCmd! ifcmd; WhileCmd! wcmd; BreakCmd! bcmd;
+
+ if (t.kind == 40) {
+ IfCmd(out ifcmd);
+ ec = ifcmd;
+ } else if (t.kind == 42) {
+ WhileCmd(out wcmd);
+ ec = wcmd;
+ } else if (t.kind == 45) {
+ BreakCmd(out bcmd);
+ ec = bcmd;
+ } else Error(97);
+ }
+
+ static void TransferCmd(out TransferCmd! tc) {
+ tc = dummyTransferCmd;
+ Token y; TokenSeq! xs;
+ StringSeq ss = new StringSeq();
+
+ if (t.kind == 38) {
+ Get();
+ y = token;
+ Idents(out xs);
+ foreach (IToken! s in xs) { ss.Add(s.val); }
+ tc = new GotoCmd(y, ss);
+
+ } else if (t.kind == 39) {
+ Get();
+ tc = new ReturnCmd(token);
+ } else Error(98);
+ Expect(7);
+ }
+
+ static void IfCmd(out IfCmd! ifcmd) {
+ IToken! x;
+ Expr guard;
+ StmtList! thn;
+ IfCmd! elseIf; IfCmd elseIfOption = null;
+ StmtList! els; StmtList elseOption = null;
+
+ Expect(40);
+ x = token;
+ Guard(out guard);
+ Expect(25);
+ StmtList(out thn);
+ if (t.kind == 41) {
+ Get();
+ if (t.kind == 40) {
+ IfCmd(out elseIf);
+ elseIfOption = elseIf;
+ } else if (t.kind == 25) {
+ Get();
+ StmtList(out els);
+ elseOption = els;
+ } else Error(99);
+ }
+ ifcmd = new IfCmd(x, guard, thn, elseIfOption, elseOption);
+ }
+
+ static void WhileCmd(out WhileCmd! wcmd) {
+ IToken! x; Token z;
+ Expr guard; Expr! e; bool isFree;
+ List<PredicateCmd!> invariants = new List<PredicateCmd!>();
+ StmtList! body;
+
+ Expect(42);
+ x = token;
+ Guard(out guard);
+ assume guard == null || Owner.None(guard);
+ while (t.kind == 33 || t.kind == 43) {
+ isFree = false; z = t/*lookahead token*/;
+ if (t.kind == 33) {
+ Get();
+ isFree = true;
+ }
+ Expect(43);
+ Expression(out e);
+ if (isFree) {
+ invariants.Add(new AssumeCmd(z, e));
+ } else {
+ invariants.Add(new AssertCmd(z, e));
+ }
+
+ Expect(7);
+ }
+ Expect(25);
+ StmtList(out body);
+ wcmd = new WhileCmd(x, guard, invariants, body);
+ }
+
+ static void BreakCmd(out BreakCmd! bcmd) {
+ IToken! x; IToken! y;
+ string breakLabel = null;
+
+ Expect(45);
+ x = token;
+ if (t.kind == 1) {
+ Ident(out y);
+ breakLabel = y.val;
+ }
+ Expect(7);
+ bcmd = new BreakCmd(x, breakLabel);
+ }
+
+ static void Guard(out Expr e) {
+ Expr! ee; e = null;
+ Expect(8);
+ if (t.kind == 44) {
+ Get();
+ e = null;
+ } else if (StartOf(5)) {
+ Expression(out ee);
+ e = ee;
+ } else Error(100);
+ Expect(9);
+ }
+
+ static void LabelOrAssign(out Cmd c, out IToken label) {
+ IToken! id; IToken! x; Expr! e, e0;
+ c = dummyCmd; label = null;
+ AssignLhs! lhs;
+ List<AssignLhs!>! lhss;
+ List<Expr!>! rhss;
+
+ Ident(out id);
+ x = token;
+ if (t.kind == 10) {
+ Get();
+ c = null; label = x;
+ } else if (t.kind == 11 || t.kind == 15 || t.kind == 49) {
+ MapAssignIndexes(id, out lhs);
+ lhss = new List<AssignLhs!> ();
+ lhss.Add(lhs);
+ while (t.kind == 11) {
+ Get();
+ Ident(out id);
+ MapAssignIndexes(id, out lhs);
+ lhss.Add(lhs);
+ }
+ Expect(49);
+ x = token; /* use location of := */
+ Expression(out e0);
+ rhss = new List<Expr!> ();
+ rhss.Add(e0);
+ while (t.kind == 11) {
+ Get();
+ Expression(out e0);
+ rhss.Add(e0);
+ }
+ Expect(7);
+ c = new AssignCmd(x, lhss, rhss);
+ } else Error(101);
+ }
+
+ static void CallCmd(out Cmd! c) {
+ IToken! x; IToken! first; IToken p;
+ List<IdentifierExpr>! ids = new List<IdentifierExpr>();
+ List<Expr>! es = new List<Expr>();
+ Expr en; List<Expr> args;
+ c = dummyCmd;
+
+ Expect(50);
+ x = token;
+ if (t.kind == 1) {
+ Ident(out first);
+ if (t.kind == 8) {
+ Get();
+ if (StartOf(8)) {
+ CallForallArg(out en);
+ es.Add(en);
+ while (t.kind == 11) {
+ Get();
+ CallForallArg(out en);
+ es.Add(en);
+ }
+ }
+ Expect(9);
+ c = new CallCmd(x, first.val, es, ids);
+ } else if (t.kind == 11 || t.kind == 49) {
+ ids.Add(new IdentifierExpr(first, first.val));
+ if (t.kind == 11) {
+ Get();
+ CallOutIdent(out p);
+ if (p==null) {
+ ids.Add(null);
+ } else {
+ ids.Add(new IdentifierExpr(p, p.val));
+ }
+
+ while (t.kind == 11) {
+ Get();
+ CallOutIdent(out p);
+ if (p==null) {
+ ids.Add(null);
+ } else {
+ ids.Add(new IdentifierExpr(p, p.val));
+ }
+
+ }
+ }
+ Expect(49);
+ Ident(out first);
+ Expect(8);
+ if (StartOf(8)) {
+ CallForallArg(out en);
+ es.Add(en);
+ while (t.kind == 11) {
+ Get();
+ CallForallArg(out en);
+ es.Add(en);
+ }
+ }
+ Expect(9);
+ c = new CallCmd(x, first.val, es, ids);
+ } else Error(102);
+ } else if (t.kind == 51) {
+ Get();
+ Ident(out first);
+ Expect(8);
+ args = new List<Expr>();
+ if (StartOf(8)) {
+ CallForallArg(out en);
+ args.Add(en);
+ while (t.kind == 11) {
+ Get();
+ CallForallArg(out en);
+ args.Add(en);
+ }
+ }
+ Expect(9);
+ c = new CallForallCmd(x, first.val, args);
+ } else if (t.kind == 44) {
+ Get();
+ ids.Add(null);
+ if (t.kind == 11) {
+ Get();
+ CallOutIdent(out p);
+ if (p==null) {
+ ids.Add(null);
+ } else {
+ ids.Add(new IdentifierExpr(p, p.val));
+ }
+
+ while (t.kind == 11) {
+ Get();
+ CallOutIdent(out p);
+ if (p==null) {
+ ids.Add(null);
+ } else {
+ ids.Add(new IdentifierExpr(p, p.val));
+ }
+
+ }
+ }
+ Expect(49);
+ Ident(out first);
+ Expect(8);
+ if (StartOf(8)) {
+ CallForallArg(out en);
+ es.Add(en);
+ while (t.kind == 11) {
+ Get();
+ CallForallArg(out en);
+ es.Add(en);
+ }
+ }
+ Expect(9);
+ c = new CallCmd(x, first.val, es, ids);
+ } else Error(103);
+ }
+
+ static void MapAssignIndexes(IToken! assignedVariable, out AssignLhs! lhs) {
+ IToken! x;
+ AssignLhs! runningLhs =
+ new SimpleAssignLhs(assignedVariable,
+ new IdentifierExpr(assignedVariable, assignedVariable.val));
+ List<Expr!>! indexes;
+ Expr! e0;
+
+ while (t.kind == 15) {
+ Get();
+ x = token;
+ indexes = new List<Expr!> ();
+ if (StartOf(5)) {
+ Expression(out e0);
+ indexes.Add(e0);
+ while (t.kind == 11) {
+ Get();
+ Expression(out e0);
+ indexes.Add(e0);
+ }
+ }
+ Expect(16);
+ runningLhs =
+ new MapAssignLhs (x, runningLhs, indexes);
+ }
+ lhs = runningLhs;
+ }
+
+ static void CallForallArg(out Expr exprOptional) {
+ exprOptional = null;
+ Expr! e;
+
+ if (t.kind == 44) {
+ Get();
+ } else if (StartOf(5)) {
+ Expression(out e);
+ exprOptional = e;
+ } else Error(104);
+ }
+
+ static void CallOutIdent(out IToken id) {
+ id = null;
+ IToken! p;
+
+ if (t.kind == 44) {
+ Get();
+ } else if (t.kind == 1) {
+ Ident(out p);
+ id = p;
+ } else Error(105);
+ }
+
+ static void Expressions(out ExprSeq! es) {
+ Expr! e; es = new ExprSeq();
+ Expression(out e);
+ es.Add(e);
+ while (t.kind == 11) {
+ Get();
+ Expression(out e);
+ es.Add(e);
+ }
+ }
+
+ static void ImpliesExpression(bool noExplies, out Expr! e0) {
+ IToken! x; Expr! e1;
+ LogicalExpression(out e0);
+ if (StartOf(9)) {
+ if (t.kind == 54 || t.kind == 55) {
+ ImpliesOp();
+ x = token;
+ ImpliesExpression(true, out e1);
+ e0 = Expr.Binary(x, BinaryOperator.Opcode.Imp, e0, e1);
+ } else {
+ ExpliesOp();
+ if (noExplies)
+ SemErr("illegal mixture of ==> and <==, use parentheses to disambiguate");
+ x = token;
+ LogicalExpression(out e1);
+ e0 = Expr.Binary(x, BinaryOperator.Opcode.Imp, e1, e0);
+ while (t.kind == 56 || t.kind == 57) {
+ ExpliesOp();
+ x = token;
+ LogicalExpression(out e1);
+ e0 = Expr.Binary(x, BinaryOperator.Opcode.Imp, e1, e0);
+ }
+ }
+ }
+ }
+
+ static void EquivOp() {
+ if (t.kind == 52) {
+ Get();
+ } else if (t.kind == 53) {
+ Get();
+ } else Error(106);
+ }
+
+ static void LogicalExpression(out Expr! e0) {
+ IToken! x; Expr! e1; BinaryOperator.Opcode op;
+ RelationalExpression(out e0);
+ if (StartOf(10)) {
+ if (t.kind == 58 || t.kind == 59) {
+ AndOp();
+ x = token;
+ RelationalExpression(out e1);
+ e0 = Expr.Binary(x, BinaryOperator.Opcode.And, e0, e1);
+ while (t.kind == 58 || t.kind == 59) {
+ AndOp();
+ x = token;
+ RelationalExpression(out e1);
+ e0 = Expr.Binary(x, BinaryOperator.Opcode.And, e0, e1);
+ }
+ } else {
+ OrOp();
+ x = token;
+ RelationalExpression(out e1);
+ e0 = Expr.Binary(x, BinaryOperator.Opcode.Or, e0, e1);
+ while (t.kind == 60 || t.kind == 61) {
+ OrOp();
+ x = token;
+ RelationalExpression(out e1);
+ e0 = Expr.Binary(x, BinaryOperator.Opcode.Or, e0, e1);
+ }
+ }
+ }
+ }
+
+ static void ImpliesOp() {
+ if (t.kind == 54) {
+ Get();
+ } else if (t.kind == 55) {
+ Get();
+ } else Error(107);
+ }
+
+ static void ExpliesOp() {
+ if (t.kind == 56) {
+ Get();
+ } else if (t.kind == 57) {
+ Get();
+ } else Error(108);
+ }
+
+ static void RelationalExpression(out Expr! e0) {
+ IToken! x; Expr! e1; BinaryOperator.Opcode op;
+ BvTerm(out e0);
+ if (StartOf(11)) {
+ RelOp(out x, out op);
+ BvTerm(out e1);
+ e0 = Expr.Binary(x, op, e0, e1);
+ }
+ }
+
+ static void AndOp() {
+ if (t.kind == 58) {
+ Get();
+ } else if (t.kind == 59) {
+ Get();
+ } else Error(109);
+ }
+
+ static void OrOp() {
+ if (t.kind == 60) {
+ Get();
+ } else if (t.kind == 61) {
+ Get();
+ } else Error(110);
+ }
+
+ static void BvTerm(out Expr! e0) {
+ IToken! x; Expr! e1;
+ Term(out e0);
+ while (t.kind == 70) {
+ Get();
+ x = token;
+ Term(out e1);
+ e0 = new BvConcatExpr(x, e0, e1);
+ }
+ }
+
+ static void RelOp(out IToken! x, out BinaryOperator.Opcode op) {
+ x = Token.NoToken; op=BinaryOperator.Opcode.Add/*(dummy)*/;
+ switch (t.kind) {
+ case 62: {
+ Get();
+ x = token; op=BinaryOperator.Opcode.Eq;
+ break;
+ }
+ case 17: {
+ Get();
+ x = token; op=BinaryOperator.Opcode.Lt;
+ break;
+ }
+ case 18: {
+ Get();
+ x = token; op=BinaryOperator.Opcode.Gt;
+ break;
+ }
+ case 63: {
+ Get();
+ x = token; op=BinaryOperator.Opcode.Le;
+ break;
+ }
+ case 64: {
+ Get();
+ x = token; op=BinaryOperator.Opcode.Ge;
+ break;
+ }
+ case 65: {
+ Get();
+ x = token; op=BinaryOperator.Opcode.Neq;
+ break;
+ }
+ case 66: {
+ Get();
+ x = token; op=BinaryOperator.Opcode.Subtype;
+ break;
+ }
+ case 67: {
+ Get();
+ x = token; op=BinaryOperator.Opcode.Neq;
+ break;
+ }
+ case 68: {
+ Get();
+ x = token; op=BinaryOperator.Opcode.Le;
+ break;
+ }
+ case 69: {
+ Get();
+ x = token; op=BinaryOperator.Opcode.Ge;
+ break;
+ }
+ default: Error(111); break;
+ }
+ }
+
+ static void Term(out Expr! e0) {
+ IToken! x; Expr! e1; BinaryOperator.Opcode op;
+ Factor(out e0);
+ while (t.kind == 71 || t.kind == 72) {
+ AddOp(out x, out op);
+ Factor(out e1);
+ e0 = Expr.Binary(x, op, e0, e1);
+ }
+ }
+
+ static void Factor(out Expr! e0) {
+ IToken! x; Expr! e1; BinaryOperator.Opcode op;
+ UnaryExpression(out e0);
+ while (t.kind == 44 || t.kind == 73 || t.kind == 74) {
+ MulOp(out x, out op);
+ UnaryExpression(out e1);
+ e0 = Expr.Binary(x, op, e0, e1);
+ }
+ }
+
+ static void AddOp(out IToken! x, out BinaryOperator.Opcode op) {
+ x = Token.NoToken; op=BinaryOperator.Opcode.Add/*(dummy)*/;
+ if (t.kind == 71) {
+ Get();
+ x = token; op=BinaryOperator.Opcode.Add;
+ } else if (t.kind == 72) {
+ Get();
+ x = token; op=BinaryOperator.Opcode.Sub;
+ } else Error(112);
+ }
+
+ static void UnaryExpression(out Expr! e) {
+ IToken! x;
+ e = dummyExpr;
+
+ if (t.kind == 72) {
+ Get();
+ x = token;
+ UnaryExpression(out e);
+ e = Expr.Binary(x, BinaryOperator.Opcode.Sub, new LiteralExpr(x, BigNum.ZERO), e);
+ } else if (t.kind == 75 || t.kind == 76) {
+ NegOp();
+ x = token;
+ UnaryExpression(out e);
+ e = Expr.Unary(x, UnaryOperator.Opcode.Not, e);
+ } else if (StartOf(12)) {
+ CoercionExpression(out e);
+ } else Error(113);
+ }
+
+ static void MulOp(out IToken! x, out BinaryOperator.Opcode op) {
+ x = Token.NoToken; op=BinaryOperator.Opcode.Add/*(dummy)*/;
+ if (t.kind == 44) {
+ Get();
+ x = token; op=BinaryOperator.Opcode.Mul;
+ } else if (t.kind == 73) {
+ Get();
+ x = token; op=BinaryOperator.Opcode.Div;
+ } else if (t.kind == 74) {
+ Get();
+ x = token; op=BinaryOperator.Opcode.Mod;
+ } else Error(114);
+ }
+
+ static void NegOp() {
+ if (t.kind == 75) {
+ Get();
+ } else if (t.kind == 76) {
+ Get();
+ } else Error(115);
+ }
+
+ static void CoercionExpression(out Expr! e) {
+ IToken! x;
+ Type! coercedTo;
+ BigNum bn;
+
+ ArrayExpression(out e);
+ while (t.kind == 10) {
+ Get();
+ x = token;
+ if (StartOf(2)) {
+ Type(out coercedTo);
+ e = Expr.CoerceType(x, e, coercedTo);
+ } else if (t.kind == 3) {
+ Nat(out bn);
+ if (!(e is LiteralExpr) || !((LiteralExpr)e).isBigNum) {
+ SemErr("arguments of extract need to be integer literals");
+ e = new BvBounds(x, bn, BigNum.ZERO);
+ } else {
+ e = new BvBounds(x, bn, ((LiteralExpr)e).asBigNum);
+ }
+
+ } else Error(116);
+ }
+ }
+
+ static void ArrayExpression(out Expr! e) {
+ IToken! x;
+ Expr! index0 = dummyExpr; Expr! e1;
+ bool store; bool bvExtract;
+ ExprSeq! allArgs = dummyExprSeq;
+
+ AtomExpression(out e);
+ while (t.kind == 15) {
+ Get();
+ x = token; allArgs = new ExprSeq ();
+ allArgs.Add(e);
+ store = false; bvExtract = false;
+ if (StartOf(13)) {
+ if (StartOf(5)) {
+ Expression(out index0);
+ if (index0 is BvBounds)
+ bvExtract = true;
+ else
+ allArgs.Add(index0);
+
+ while (t.kind == 11) {
+ Get();
+ Expression(out e1);
+ if (bvExtract || e1 is BvBounds)
+ SemErr("bitvectors only have one dimension");
+ allArgs.Add(e1);
+
+ }
+ if (t.kind == 49) {
+ Get();
+ Expression(out e1);
+ if (bvExtract || e1 is BvBounds)
+ SemErr("assignment to bitvectors is not possible");
+ allArgs.Add(e1); store = true;
+
+ }
+ } else {
+ Get();
+ Expression(out e1);
+ allArgs.Add(e1); store = true;
+ }
+ }
+ Expect(16);
+ if (store)
+ e = new NAryExpr(x, new MapStore(x, allArgs.Length - 2), allArgs);
+ else if (bvExtract)
+ e = new ExtractExpr(x, e,
+ ((BvBounds)index0).Upper.ToIntSafe,
+ ((BvBounds)index0).Lower.ToIntSafe);
+ else
+ e = new NAryExpr(x, new MapSelect(x, allArgs.Length - 1), allArgs);
+
+ }
+ }
+
+ static void Nat(out BigNum n) {
+ Expect(3);
+ try {
+ n = BigNum.FromString(token.val);
+ } catch (FormatException) {
+ SemErr("incorrectly formatted number");
+ n = BigNum.ZERO;
+ }
+
+ }
+
+ static void AtomExpression(out Expr! e) {
+ IToken! x; int n; BigNum bn;
+ ExprSeq! es; VariableSeq! ds; Trigger trig;
+ TypeVariableSeq! typeParams;
+ IdentifierExpr! id;
+ Bpl.Type! ty;
+ QKeyValue kv;
+ e = dummyExpr;
+
+ switch (t.kind) {
+ case 77: {
+ Get();
+ e = new LiteralExpr(token, false);
+ break;
+ }
+ case 78: {
+ Get();
+ e = new LiteralExpr(token, true);
+ break;
+ }
+ case 3: {
+ Nat(out bn);
+ e = new LiteralExpr(token, bn);
+ break;
+ }
+ case 2: {
+ BvLit(out bn, out n);
+ e = new LiteralExpr(token, bn, n);
+ break;
+ }
+ case 1: {
+ Ident(out x);
+ id = new IdentifierExpr(x, x.val); e = id;
+ if (t.kind == 8) {
+ Get();
+ if (StartOf(5)) {
+ Expressions(out es);
+ e = new NAryExpr(x, new FunctionCall(id), es);
+ } else if (t.kind == 9) {
+ e = new NAryExpr(x, new FunctionCall(id), new ExprSeq());
+ } else Error(117);
+ Expect(9);
+ }
+ break;
+ }
+ case 79: {
+ Get();
+ x = token;
+ Expect(8);
+ Expression(out e);
+ Expect(9);
+ e = new OldExpr(x, e);
+ break;
+ }
+ case 8: {
+ Get();
+ if (StartOf(5)) {
+ Expression(out e);
+ if (e is BvBounds)
+ SemErr("parentheses around bitvector bounds " +
+ "are not allowed");
+ } else if (t.kind == 51 || t.kind == 80) {
+ Forall();
+ x = token;
+ QuantifierBody(x, out typeParams, out ds, out kv, out trig, out e);
+ if (typeParams.Length + ds.Length > 0)
+ e = new ForallExpr(x, typeParams, ds, kv, trig, e);
+ } else if (t.kind == 81 || t.kind == 82) {
+ Exists();
+ x = token;
+ QuantifierBody(x, out typeParams, out ds, out kv, out trig, out e);
+ if (typeParams.Length + ds.Length > 0)
+ e = new ExistsExpr(x, typeParams, ds, kv, trig, e);
+ } else Error(118);
+ Expect(9);
+ break;
+ }
+ default: Error(119); break;
+ }
+ }
+
+ static void BvLit(out BigNum n, out int m) {
+ Expect(2);
+ int pos = token.val.IndexOf("bv");
+ string a = token.val.Substring(0, pos);
+ string b = token.val.Substring(pos + 2);
+ try {
+ n = BigNum.FromString(a);
+ m = Convert.ToInt32(b);
+ } catch (FormatException) {
+ SemErr("incorrectly formatted bitvector");
+ n = BigNum.ZERO;
+ m = 0;
+ }
+
+ }
+
+ static void Forall() {
+ if (t.kind == 51) {
+ Get();
+ } else if (t.kind == 80) {
+ Get();
+ } else Error(120);
+ }
+
+ static void QuantifierBody(IToken! q, out TypeVariableSeq! typeParams, out VariableSeq! ds,
+out QKeyValue kv, out Trigger trig, out Expr! body) {
+ trig = null; typeParams = new TypeVariableSeq ();
+ IToken! tok; Expr! e; ExprSeq! es;
+ kv = null; string key; string value;
+ ds = new VariableSeq ();
+
+ if (t.kind == 17) {
+ TypeParams(out tok, out typeParams);
+ if (t.kind == 1) {
+ BoundVars(q, out ds);
+ }
+ } else if (t.kind == 1) {
+ BoundVars(q, out ds);
+ } else Error(121);
+ QSep();
+ while (t.kind == 25) {
+ AttributeOrTrigger(ref kv, ref trig);
+ }
+ Expression(out body);
+ }
+
+ static void Exists() {
+ if (t.kind == 81) {
+ Get();
+ } else if (t.kind == 82) {
+ Get();
+ } else Error(122);
+ }
+
+ static void AttributeOrTrigger(ref QKeyValue kv, ref Trigger trig) {
+ IToken! tok; Expr! e; ExprSeq! es;
+ string key; string value;
+ List<object!> parameters; object! param;
+
+ Expect(25);
+ tok = token;
+ if (t.kind == 10) {
+ Get();
+ Expect(1);
+ key = token.val; parameters = new List<object!>();
+ if (StartOf(14)) {
+ AttributeParameter(out param);
+ parameters.Add(param);
+ while (t.kind == 11) {
+ Get();
+ AttributeParameter(out param);
+ parameters.Add(param);
+ }
+ }
+ if (key == "nopats") {
+ if (parameters.Count == 1 && parameters[0] is Expr) {
+ e = (Expr)parameters[0];
+ if(trig==null){
+ trig = new Trigger(tok, false, new ExprSeq(e), null);
+ } else {
+ trig.AddLast(new Trigger(tok, false, new ExprSeq(e), null));
+ }
+ } else {
+ SemErr("the 'nopats' quantifier attribute expects a string-literal parameter");
+ }
+ } else {
+ if (kv==null) {
+ kv = new QKeyValue(tok, key, parameters, null);
+ } else {
+ kv.AddLast(new QKeyValue(tok, key, parameters, null));
+ }
+ }
+
+ } else if (StartOf(5)) {
+ Expression(out e);
+ es = new ExprSeq(e);
+ while (t.kind == 11) {
+ Get();
+ Expression(out e);
+ es.Add(e);
+ }
+ if (trig==null) {
+ trig = new Trigger(tok, true, es, null);
+ } else {
+ trig.AddLast(new Trigger(tok, true, es, null));
+ }
+
+ } else Error(123);
+ Expect(26);
+ }
+
+ static void AttributeParameter(out object! o) {
+ o = "error";
+ Expr! e;
+
+ if (t.kind == 4) {
+ Get();
+ o = token.val.Substring(1, token.val.Length-2);
+ } else if (StartOf(5)) {
+ Expression(out e);
+ o = e;
+ } else Error(124);
+ }
+
+ static void QSep() {
+ if (t.kind == 83) {
+ Get();
+ } else if (t.kind == 84) {
+ Get();
+ } else Error(125);
+ }
+
+
+
+ public static void Parse() {
+ Errors.SynErr = new ErrorProc(SynErr);
+ t = new Token();
+ Get();
+ BoogiePL();
+
+ }
+
+ [Microsoft.Contracts.Verify(false)]
+ static void SynErr(int n, string filename, int line, int col) {
+ Errors.count++;
+ Console.Write("{0}({1},{2}): syntax error: ", filename, line, col);
+ string s;
+ switch (n) {
+ case 0: s = "EOF expected"; break;
+ case 1: s = "ident expected"; break;
+ case 2: s = "bvlit expected"; break;
+ case 3: s = "digits expected"; break;
+ case 4: s = "string expected"; break;
+ case 5: s = "float expected"; break;
+ case 6: s = "var expected"; break;
+ case 7: s = "; expected"; break;
+ case 8: s = "( expected"; break;
+ case 9: s = ") expected"; break;
+ case 10: s = ": expected"; break;
+ case 11: s = ", expected"; break;
+ case 12: s = "where expected"; break;
+ case 13: s = "int expected"; break;
+ case 14: s = "bool expected"; break;
+ case 15: s = "[ expected"; break;
+ case 16: s = "] expected"; break;
+ case 17: s = "< expected"; break;
+ case 18: s = "> expected"; break;
+ case 19: s = "const expected"; break;
+ case 20: s = "unique expected"; break;
+ case 21: s = "extends expected"; break;
+ case 22: s = "complete expected"; break;
+ case 23: s = "function expected"; break;
+ case 24: s = "returns expected"; break;
+ case 25: s = "{ expected"; break;
+ case 26: s = "} expected"; break;
+ case 27: s = "axiom expected"; break;
+ case 28: s = "type expected"; break;
+ case 29: s = "= expected"; break;
+ case 30: s = "procedure expected"; break;
+ case 31: s = "implementation expected"; break;
+ case 32: s = "modifies expected"; break;
+ case 33: s = "free expected"; break;
+ case 34: s = "requires expected"; break;
+ case 35: s = "ensures expected"; break;
+ case 36: s = "{{ expected"; break;
+ case 37: s = "}} expected"; break;
+ case 38: s = "goto expected"; break;
+ case 39: s = "return expected"; break;
+ case 40: s = "if expected"; break;
+ case 41: s = "else expected"; break;
+ case 42: s = "while expected"; break;
+ case 43: s = "invariant expected"; break;
+ case 44: s = "* expected"; break;
+ case 45: s = "break expected"; break;
+ case 46: s = "assert expected"; break;
+ case 47: s = "assume expected"; break;
+ case 48: s = "havoc expected"; break;
+ case 49: s = ":= expected"; break;
+ case 50: s = "call expected"; break;
+ case 51: s = "forall expected"; break;
+ case 52: s = "<==> expected"; break;
+ case 53: s = "\\u21d4 expected"; break;
+ case 54: s = "==> expected"; break;
+ case 55: s = "\\u21d2 expected"; break;
+ case 56: s = "<== expected"; break;
+ case 57: s = "\\u21d0 expected"; break;
+ case 58: s = "&& expected"; break;
+ case 59: s = "\\u2227 expected"; break;
+ case 60: s = "|| expected"; break;
+ case 61: s = "\\u2228 expected"; break;
+ case 62: s = "== expected"; break;
+ case 63: s = "<= expected"; break;
+ case 64: s = ">= expected"; break;
+ case 65: s = "!= expected"; break;
+ case 66: s = "<: expected"; break;
+ case 67: s = "\\u2260 expected"; break;
+ case 68: s = "\\u2264 expected"; break;
+ case 69: s = "\\u2265 expected"; break;
+ case 70: s = "++ expected"; break;
+ case 71: s = "+ expected"; break;
+ case 72: s = "- expected"; break;
+ case 73: s = "/ expected"; break;
+ case 74: s = "% expected"; break;
+ case 75: s = "! expected"; break;
+ case 76: s = "\\u00ac expected"; break;
+ case 77: s = "false expected"; break;
+ case 78: s = "true expected"; break;
+ case 79: s = "old expected"; break;
+ case 80: s = "\\u2200 expected"; break;
+ case 81: s = "exists expected"; break;
+ case 82: s = "\\u2203 expected"; break;
+ case 83: s = ":: expected"; break;
+ case 84: s = "\\u2022 expected"; break;
+ case 85: s = "??? expected"; break;
+ case 86: s = "invalid Function"; break;
+ case 87: s = "invalid Procedure"; break;
+ case 88: s = "invalid Type"; break;
+ case 89: s = "invalid TypeAtom"; break;
+ case 90: s = "invalid TypeArgs"; break;
+ case 91: s = "invalid Spec"; break;
+ case 92: s = "invalid SpecPrePost"; break;
+ case 93: s = "invalid SpecPrePost"; break;
+ case 94: s = "invalid SpecPrePost"; break;
+ case 95: s = "invalid SpecBlock"; break;
+ case 96: s = "invalid LabelOrCmd"; break;
+ case 97: s = "invalid StructuredCmd"; break;
+ case 98: s = "invalid TransferCmd"; break;
+ case 99: s = "invalid IfCmd"; break;
+ case 100: s = "invalid Guard"; break;
+ case 101: s = "invalid LabelOrAssign"; break;
+ case 102: s = "invalid CallCmd"; break;
+ case 103: s = "invalid CallCmd"; break;
+ case 104: s = "invalid CallForallArg"; break;
+ case 105: s = "invalid CallOutIdent"; break;
+ case 106: s = "invalid EquivOp"; break;
+ case 107: s = "invalid ImpliesOp"; break;
+ case 108: s = "invalid ExpliesOp"; break;
+ case 109: s = "invalid AndOp"; break;
+ case 110: s = "invalid OrOp"; break;
+ case 111: s = "invalid RelOp"; break;
+ case 112: s = "invalid AddOp"; break;
+ case 113: s = "invalid UnaryExpression"; break;
+ case 114: s = "invalid MulOp"; break;
+ case 115: s = "invalid NegOp"; break;
+ case 116: s = "invalid CoercionExpression"; break;
+ case 117: s = "invalid AtomExpression"; break;
+ case 118: s = "invalid AtomExpression"; break;
+ case 119: s = "invalid AtomExpression"; break;
+ case 120: s = "invalid Forall"; break;
+ case 121: s = "invalid QuantifierBody"; break;
+ case 122: s = "invalid Exists"; break;
+ case 123: s = "invalid AttributeOrTrigger"; break;
+ case 124: s = "invalid AttributeParameter"; break;
+ case 125: s = "invalid QSep"; break;
+
+ default: s = "error " + n; break;
+ }
+ Console.WriteLine(s);
+ }
+
+ static bool[,]! set = {
+ {T,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x},
+ {x,x,x,x, x,x,T,x, x,x,x,x, x,x,x,x, x,x,x,T, x,x,x,T, x,x,x,T, T,x,T,T, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x},
+ {x,T,x,x, x,x,x,x, T,x,x,x, x,T,T,T, x,T,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x},
+ {x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, T,T,T,T, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x},
+ {x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,T,x,x, x,x,x,x, T,T,T,T, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x},
+ {x,T,T,T, x,x,x,x, T,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, T,x,x,T, T,T,T,T, x,x,x,x, x,x,x},
+ {x,T,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,T,T, T,x,T,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x},
+ {x,T,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,T,T, T,x,T,x, x,T,T,T, T,x,T,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x},
+ {x,T,T,T, x,x,x,x, T,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, T,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, T,x,x,T, T,T,T,T, x,x,x,x, x,x,x},
+ {x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,T,T, T,T,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x},
+ {x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,T,T, T,T,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x},
+ {x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,T,T,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,T,T, T,T,T,T, T,T,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x},
+ {x,T,T,T, x,x,x,x, T,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,T,T,T, x,x,x,x, x,x,x},
+ {x,T,T,T, x,x,x,x, T,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,T,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, T,x,x,T, T,T,T,T, x,x,x,x, x,x,x},
+ {x,T,T,T, T,x,x,x, T,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, T,x,x,T, T,T,T,T, x,x,x,x, x,x,x}
+
+ };
+
+ [Microsoft.Contracts.Verify(false)]
+ static Parser() {}
+} // end Parser
+
+} // end namespace