summaryrefslogtreecommitdiff
path: root/Source/Dafny/Cloner.cs
blob: f13aa2f4f909cf20f29e0d19bbe1a82b643b1834 (plain)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
609
610
611
612
613
614
615
616
617
618
619
620
621
622
623
624
625
626
627
628
629
630
631
632
633
634
635
636
637
638
639
640
641
642
643
644
645
646
647
648
649
650
651
652
653
654
655
656
657
658
659
660
661
662
663
664
665
666
667
668
669
670
671
672
673
674
675
676
677
678
679
680
681
682
683
684
685
686
687
688
689
690
691
692
693
694
695
696
697
698
699
700
701
702
703
704
705
706
707
708
709
710
711
712
713
714
715
716
717
718
719
720
721
722
723
724
725
726
727
728
729
730
731
732
733
734
735
736
737
738
739
740
741
742
743
744
745
746
747
748
749
750
751
752
753
754
755
756
757
758
759
760
761
762
763
764
765
766
767
768
769
770
771
772
773
774
775
776
777
778
779
780
781
782
783
784
785
786
787
788
789
790
791
792
793
794
795
796
797
798
799
800
801
802
803
804
805
806
807
808
809
810
811
812
813
814
815
816
817
818
819
820
821
822
823
824
825
826
827
828
829
830
831
832
833
834
835
836
837
838
839
840
841
842
843
844
845
846
847
848
849
850
851
852
853
854
855
856
857
858
859
860
861
862
863
864
865
866
867
868
869
870
871
872
873
874
875
876
877
878
879
880
881
882

using System;
using System.Collections.Generic;
using System.Numerics;
using System.Diagnostics.Contracts;
using IToken = Microsoft.Boogie.IToken;

namespace Microsoft.Dafny
{
  class Cloner
  {
    public Cloner() {
    }
     
    public ModuleDefinition CloneModuleDefinition(ModuleDefinition m, string name) {
      ModuleDefinition nw;
      if (m is DefaultModuleDecl) {
        nw = new DefaultModuleDecl();
      } else {
        nw = new ModuleDefinition(Tok(m.tok), name, m.IsAbstract, m.IsFacade, m.RefinementBaseName, m.Module, CloneAttributes(m.Attributes), true);
      }
      foreach (var d in m.TopLevelDecls) {
        nw.TopLevelDecls.Add(CloneDeclaration(d, nw));
      }
      nw.RefinementBase = m.RefinementBase;
      nw.Height = m.Height;
      return nw;
    }

    public TopLevelDecl CloneDeclaration(TopLevelDecl d, ModuleDefinition m) {
      Contract.Requires(d != null);
      Contract.Requires(m != null);

      if (d is OpaqueTypeDecl) {
        var dd = (OpaqueTypeDecl)d;
        return new OpaqueTypeDecl(Tok(dd.tok), dd.Name, m, dd.EqualitySupport, dd.TypeArgs.ConvertAll(CloneTypeParam), CloneAttributes(dd.Attributes));
      } else if (d is TypeSynonymDecl) {
        var dd = (TypeSynonymDecl)d;
        var tps = dd.TypeArgs.ConvertAll(CloneTypeParam);
        return new TypeSynonymDecl(Tok(dd.tok), dd.Name, tps, m, CloneType(dd.Rhs), CloneAttributes(dd.Attributes));
      } else if (d is NewtypeDecl) {
        var dd = (NewtypeDecl)d;
        if (dd.Var == null) {
          return new NewtypeDecl(Tok(dd.tok), dd.Name, m, CloneType(dd.BaseType), CloneAttributes(dd.Attributes));
        } else {
          return new NewtypeDecl(Tok(dd.tok), dd.Name, m, CloneBoundVar(dd.Var), CloneExpr(dd.Constraint), CloneAttributes(dd.Attributes));
        }
      } else if (d is TupleTypeDecl) {
        var dd = (TupleTypeDecl)d;
        return new TupleTypeDecl(dd.Dims, dd.Module);
      } else if (d is IndDatatypeDecl) {
        var dd = (IndDatatypeDecl)d;
        var tps = dd.TypeArgs.ConvertAll(CloneTypeParam);
        var ctors = dd.Ctors.ConvertAll(CloneCtor);
        var dt = new IndDatatypeDecl(Tok(dd.tok), dd.Name, m, tps, ctors, CloneAttributes(dd.Attributes));
        return dt;
      } else if (d is CoDatatypeDecl) {
        var dd = (CoDatatypeDecl)d;
        var tps = dd.TypeArgs.ConvertAll(CloneTypeParam);
        var ctors = dd.Ctors.ConvertAll(CloneCtor);
        var dt = new CoDatatypeDecl(Tok(dd.tok), dd.Name, m, tps, ctors, CloneAttributes(dd.Attributes));
        return dt;
      } else if (d is IteratorDecl) {
        var dd = (IteratorDecl)d;
        var tps = dd.TypeArgs.ConvertAll(CloneTypeParam);
        var ins = dd.Ins.ConvertAll(CloneFormal);
        var outs = dd.Outs.ConvertAll(CloneFormal);
        var reads = CloneSpecFrameExpr(dd.Reads);
        var mod = CloneSpecFrameExpr(dd.Modifies);
        var decr = CloneSpecExpr(dd.Decreases);
        var req = dd.Requires.ConvertAll(CloneMayBeFreeExpr);
        var yreq = dd.YieldRequires.ConvertAll(CloneMayBeFreeExpr);
        var ens = dd.Ensures.ConvertAll(CloneMayBeFreeExpr);
        var yens = dd.YieldEnsures.ConvertAll(CloneMayBeFreeExpr);
        var body = CloneBlockStmt(dd.Body);
        var iter = new IteratorDecl(Tok(dd.tok), dd.Name, dd.Module,
          tps, ins, outs, reads, mod, decr,
          req, ens, yreq, yens,
          body, CloneAttributes(dd.Attributes), dd.SignatureEllipsis);
        return iter;
      }
      else if (d is TraitDecl)
      {
          if (d is DefaultClassDecl)
          {
              var dd = (TraitDecl)d;
              var tps = dd.TypeArgs.ConvertAll(CloneTypeParam);
              var mm = dd.Members.ConvertAll(CloneMember);
              var cl = new DefaultClassDecl(m, mm);
              return cl;
          }
          else
          {
              var dd = (TraitDecl)d;
              var tps = dd.TypeArgs.ConvertAll(CloneTypeParam);
              var mm = dd.Members.ConvertAll(CloneMember);
              var cl = new TraitDecl(Tok(dd.tok), dd.Name, m, tps, mm, CloneAttributes(dd.Attributes));
              return cl;
          }
      }
      else if (d is ClassDecl) {
        var dd = (ClassDecl)d;
        var tps = dd.TypeArgs.ConvertAll(CloneTypeParam);
        var mm = dd.Members.ConvertAll(CloneMember);
        if (d is DefaultClassDecl) {
          return new DefaultClassDecl(m, mm);
        } else {
          return new ClassDecl(Tok(dd.tok), dd.Name, m, tps, mm, CloneAttributes(dd.Attributes), dd.TraitsTyp.ConvertAll(CloneType));
        }
      } else if (d is ModuleDecl) {
        if (d is LiteralModuleDecl) {
          var l = new LiteralModuleDecl(((LiteralModuleDecl)d).ModuleDef, m);
          l.Signature = ((ModuleDecl)d).Signature;
          return l;
        } else if (d is AliasModuleDecl) {
          var a = (AliasModuleDecl)d;
          var alias = new AliasModuleDecl(a.Path, a.tok, m, a.Opened);
          alias.Signature = a.Signature;
          return alias;
        } else if (d is ModuleFacadeDecl) {
          var a = (ModuleFacadeDecl)d;
          var abs = new ModuleFacadeDecl(a.Path, a.tok, m, a.CompilePath, a.Opened);
          abs.Signature = a.Signature;
          abs.OriginalSignature = a.OriginalSignature;
          return abs;
        } else {
          Contract.Assert(false);  // unexpected declaration
          return null;  // to please compiler
        }
      } else {
        Contract.Assert(false);  // unexpected declaration
        return null;  // to please compiler
      }
    }

    public DatatypeCtor CloneCtor(DatatypeCtor ct) {
      return new DatatypeCtor(Tok(ct.tok), ct.Name, ct.Formals.ConvertAll(CloneFormal), CloneAttributes(ct.Attributes));
    }

    public TypeParameter CloneTypeParam(TypeParameter tp) {
      return new TypeParameter(Tok(tp.tok), tp.Name, tp.EqualitySupport);
    }

    public MemberDecl CloneMember(MemberDecl member) {
      if (member is Field) {
        Contract.Assert(!(member is SpecialField));  // we don't expect a SpecialField to be cloned (or do we?)
        var f = (Field)member;
        return new Field(Tok(f.tok), f.Name, f.IsGhost, f.IsMutable, f.IsUserMutable, CloneType(f.Type), CloneAttributes(f.Attributes));
      } else if (member is Function) {
        var f = (Function)member;
        return CloneFunction(f);
      } else {
        var m = (Method)member;
        return CloneMethod(m);
      }
    }

    public virtual Type CloneType(Type t) {
      if (t is BasicType) {
        return t;
      } else if (t is SetType) {
        var tt = (SetType)t;
        return new SetType(tt.Finite, CloneType(tt.Arg));
      } else if (t is SeqType) {
        var tt = (SeqType)t;
        return new SeqType(CloneType(tt.Arg));
      } else if (t is MultiSetType) {
        var tt = (MultiSetType)t;
        return new MultiSetType(CloneType(tt.Arg));
      } else if (t is MapType) {
        var tt = (MapType)t;
        return new MapType(tt.Finite, CloneType(tt.Domain), CloneType(tt.Range));
      } else if (t is ArrowType) {
        var tt = (ArrowType)t;
        return new ArrowType(Tok(tt.tok), tt.Args.ConvertAll(CloneType), CloneType(tt.Result));
      } else if (t is UserDefinedType) {
        var tt = (UserDefinedType)t;
#if TEST_TYPE_SYNONYM_TRANSPARENCY
        if (tt.Name == "type#synonym#transparency#test") {
          // time to drop the synonym wrapper
          var syn = (TypeSynonymDecl)tt.ResolvedClass;
          return CloneType(syn.Rhs);
        }
#endif
        return new UserDefinedType(Tok(tt.tok), CloneExpr(tt.NamePath));
      } else if (t is InferredTypeProxy) {
        return new InferredTypeProxy();
      } else if (t is OperationTypeProxy) {
        var p = (OperationTypeProxy)t;
        return new OperationTypeProxy(p.AllowInts, p.AllowReals, p.AllowChar, p.AllowSeq, p.AllowSetVarieties, p.AllowISet);
      } else if (t is ParamTypeProxy) {
        return new ParamTypeProxy(CloneTypeParam(((ParamTypeProxy)t).orig));
      } else {
        Contract.Assert(false);  // unexpected type (e.g., no other type proxies are expected at this time)
        return null;  // to please compiler
      }
    }

    public Formal CloneFormal(Formal formal) {
      Formal f = new Formal(Tok(formal.tok), formal.Name, CloneType(formal.Type), formal.InParam, formal.IsGhost);
      //if (f.Type is UserDefinedType && formal.Type is UserDefinedType)
      //    ((UserDefinedType)f.Type).ResolvedClass = ((UserDefinedType)(formal.Type)).ResolvedClass;
      return f;
    }

    public virtual BoundVar CloneBoundVar(BoundVar bv) {
      var bvNew = new BoundVar(Tok(bv.tok), bv.Name, CloneType(bv.SyntacticType));
      bvNew.IsGhost = bv.IsGhost;
      return bvNew;
    }

    public Specification<Expression> CloneSpecExpr(Specification<Expression> spec) {
      var ee = spec.Expressions == null ? null : spec.Expressions.ConvertAll(CloneExpr);
      return new Specification<Expression>(ee, CloneAttributes(spec.Attributes));
    }

    public Specification<FrameExpression> CloneSpecFrameExpr(Specification<FrameExpression> frame) {
      var ee = frame.Expressions == null ? null : frame.Expressions.ConvertAll(CloneFrameExpr);
      return new Specification<FrameExpression>(ee, CloneAttributes(frame.Attributes));
    }

    public FrameExpression CloneFrameExpr(FrameExpression frame) {
      return new FrameExpression(Tok(frame.tok), CloneExpr(frame.E), frame.FieldName);
    }
    public Attributes CloneAttributes(Attributes attrs) {
      if (attrs == null) {
        return null;
      } else {
        return new Attributes(attrs.Name, attrs.Args.ConvertAll(CloneExpr), CloneAttributes(attrs.Prev));
      }
    }

    public MaybeFreeExpression CloneMayBeFreeExpr(MaybeFreeExpression expr) {
      var mfe = new MaybeFreeExpression(CloneExpr(expr.E), expr.IsFree);
      mfe.Attributes = CloneAttributes(expr.Attributes);
      return mfe;
    }

    public virtual Expression CloneExpr(Expression expr) {
      if (expr == null) {
        return null;
      } else if (expr is LiteralExpr) {
        var e = (LiteralExpr)expr;
        if (e is StaticReceiverExpr) {
          var ee = (StaticReceiverExpr)e;
          return new StaticReceiverExpr(e.tok, CloneType(ee.UnresolvedType));
        } else if (e.Value == null) {          
          return new LiteralExpr(Tok(e.tok));
        } else if (e.Value is bool) {
          return new LiteralExpr(Tok(e.tok), (bool)e.Value);
        } else if (e is CharLiteralExpr) {
          return new CharLiteralExpr(Tok(e.tok), (string)e.Value);
        } else if (e is StringLiteralExpr) {
          var str = (StringLiteralExpr)e;
          return new StringLiteralExpr(Tok(e.tok), (string)e.Value, str.IsVerbatim);
        } else if (e.Value is Basetypes.BigDec) {
          return new LiteralExpr(Tok(e.tok), (Basetypes.BigDec)e.Value);
        } else {
          return new LiteralExpr(Tok(e.tok), (BigInteger)e.Value);
        }

      } else if (expr is ThisExpr) {
        if (expr is ImplicitThisExpr) {
          return new ImplicitThisExpr(Tok(expr.tok));
        } else {
          return new ThisExpr(Tok(expr.tok));
        }

      } else if (expr is IdentifierExpr) {
        var e = (IdentifierExpr)expr;
        return new IdentifierExpr(Tok(e.tok), e.Name);

      } else if (expr is DatatypeValue) {
        var e = (DatatypeValue)expr;
        return new DatatypeValue(Tok(e.tok), e.DatatypeName, e.MemberName, e.Arguments.ConvertAll(CloneExpr));

      } else if (expr is DisplayExpression) {
        DisplayExpression e = (DisplayExpression)expr;
        if (expr is SetDisplayExpr) {
          return new SetDisplayExpr(Tok(e.tok), ((SetDisplayExpr)expr).Finite, e.Elements.ConvertAll(CloneExpr));
        } else if (expr is MultiSetDisplayExpr) {
          return new MultiSetDisplayExpr(Tok(e.tok), e.Elements.ConvertAll(CloneExpr));
        } else {
          Contract.Assert(expr is SeqDisplayExpr);
          return new SeqDisplayExpr(Tok(e.tok), e.Elements.ConvertAll(CloneExpr));
        }

      } else if (expr is MapDisplayExpr) {
        MapDisplayExpr e = (MapDisplayExpr)expr;
        List<ExpressionPair> pp = new List<ExpressionPair>();
        foreach (ExpressionPair p in e.Elements) {
          pp.Add(new ExpressionPair(CloneExpr(p.A), CloneExpr(p.B)));
        }
        return new MapDisplayExpr(Tok(expr.tok), e.Finite, pp);

      } else if (expr is NameSegment) {
        return CloneNameSegment(expr);
      } else if (expr is ExprDotName) {
        var e = (ExprDotName)expr;
        return new ExprDotName(Tok(e.tok), CloneExpr(e.Lhs), e.SuffixName, e.OptTypeArguments == null ? null : e.OptTypeArguments.ConvertAll(CloneType));
      } else if (expr is ApplySuffix) {
        var e = (ApplySuffix) expr;
        return CloneApplySuffix(e);
      } else if (expr is MemberSelectExpr) {
        var e = (MemberSelectExpr)expr;
        return new MemberSelectExpr(Tok(e.tok), CloneExpr(e.Obj), e.MemberName);

      } else if (expr is SeqSelectExpr) {
        var e = (SeqSelectExpr)expr;
        return new SeqSelectExpr(Tok(e.tok), e.SelectOne, CloneExpr(e.Seq), CloneExpr(e.E0), CloneExpr(e.E1));

      } else if (expr is MultiSelectExpr) {
        var e = (MultiSelectExpr)expr;
        return new MultiSelectExpr(Tok(e.tok), CloneExpr(e.Array), e.Indices.ConvertAll(CloneExpr));

      } else if (expr is SeqUpdateExpr) {
        var e = (SeqUpdateExpr)expr;
        return new SeqUpdateExpr(Tok(e.tok), CloneExpr(e.Seq), CloneExpr(e.Index), CloneExpr(e.Value));

      } else if (expr is FunctionCallExpr) {
        var e = (FunctionCallExpr)expr;
        return new FunctionCallExpr(Tok(e.tok), e.Name, CloneExpr(e.Receiver), e.OpenParen == null ? null : Tok(e.OpenParen), e.Args.ConvertAll(CloneExpr));

      } else if (expr is ApplyExpr) {
        var e = (ApplyExpr)expr;
        return new ApplyExpr(Tok(e.tok), CloneExpr(e.Function), e.Args.ConvertAll(CloneExpr));

      } else if (expr is OldExpr) {
        var e = (OldExpr)expr;
        return new OldExpr(Tok(e.tok), CloneExpr(e.E));

      } else if (expr is MultiSetFormingExpr) {
        var e = (MultiSetFormingExpr)expr;
        return new MultiSetFormingExpr(Tok(e.tok), CloneExpr(e.E));

      } else if (expr is UnaryOpExpr) {
        var e = (UnaryOpExpr)expr;
        return new UnaryOpExpr(Tok(e.tok), e.Op, CloneExpr(e.E));

      } else if (expr is ConversionExpr) {
        var e = (ConversionExpr)expr;
        return new ConversionExpr(Tok(e.tok), CloneExpr(e.E), CloneType(e.ToType));

      } else if (expr is BinaryExpr) {
        var e = (BinaryExpr)expr;
        return new BinaryExpr(Tok(e.tok), e.Op, CloneExpr(e.E0), CloneExpr(e.E1));

      } else if (expr is TernaryExpr) {
        var e = (TernaryExpr)expr;
        return new TernaryExpr(Tok(e.tok), e.Op, CloneExpr(e.E0), CloneExpr(e.E1), CloneExpr(e.E2));

      } else if (expr is ChainingExpression) {
        var e = (ChainingExpression)expr;
        return CloneExpr(e.E);  // just clone the desugaring, since it's already available

      } else if (expr is LetExpr) {
        var e = (LetExpr)expr;
        return new LetExpr(Tok(e.tok), e.LHSs.ConvertAll(CloneCasePattern), e.RHSs.ConvertAll(CloneExpr), CloneExpr(e.Body), e.Exact, e.Attributes);

      } else if (expr is NamedExpr) {
        var e = (NamedExpr)expr;
        return new NamedExpr(Tok(e.tok), e.Name, CloneExpr(e.Body));
      } else if (expr is ComprehensionExpr) {
        var e = (ComprehensionExpr)expr;
        var tk = Tok(e.tok);
        var bvs = e.BoundVars.ConvertAll(CloneBoundVar);
        var range = CloneExpr(e.Range);
        var term = CloneExpr(e.Term);
        if (e is QuantifierExpr) {
          var q = (QuantifierExpr)e;
          var tvs = q.TypeArgs.ConvertAll(CloneTypeParam);
          if (e is ForallExpr) {
            return new ForallExpr(tk, tvs, bvs, range, term, CloneAttributes(e.Attributes));
          } else if (e is ExistsExpr) {
            return new ExistsExpr(tk, tvs, bvs, range, term, CloneAttributes(e.Attributes));
          } else {
            Contract.Assert(false); throw new cce.UnreachableException();  // unexpected quantifier expression
          }
        } else if (e is MapComprehension) {
          return new MapComprehension(tk, ((MapComprehension)e).Finite, bvs, range, term, CloneAttributes(e.Attributes));
        } else if (e is LambdaExpr) {
          var l = (LambdaExpr)e;
          return new LambdaExpr(tk, l.OneShot, bvs, range, l.Reads.ConvertAll(CloneFrameExpr), term);
        } else {
          Contract.Assert(e is SetComprehension);
          var tt = (SetComprehension)e;
          return new SetComprehension(tk, tt.Finite, bvs, range, term, CloneAttributes(e.Attributes));
        }

      } else if (expr is WildcardExpr) {
        return new WildcardExpr(Tok(expr.tok));

      } else if (expr is StmtExpr) {
        var e = (StmtExpr)expr;
        return new StmtExpr(Tok(e.tok), CloneStmt(e.S), CloneExpr(e.E));

      } else if (expr is ITEExpr) {
        var e = (ITEExpr)expr;
        return new ITEExpr(Tok(e.tok), CloneExpr(e.Test), CloneExpr(e.Thn), CloneExpr(e.Els));

      } else if (expr is AutoGeneratedExpression) {
        var e = (AutoGeneratedExpression)expr;
        var a = CloneExpr(e.E);
        return new AutoGeneratedExpression(Tok(e.tok), a);

      } else if (expr is ParensExpression) {
        var e = (ParensExpression)expr;
        return CloneExpr(e.E);  // skip the parentheses in the clone

      } else if (expr is MatchExpr) {
        var e = (MatchExpr)expr;
        return new MatchExpr(Tok(e.tok), CloneExpr(e.Source),
          e.Cases.ConvertAll(CloneMatchCaseExpr), e.UsesOptionalBraces);

      } else if (expr is NegationExpression) {
        var e = (NegationExpression)expr;
        return new NegationExpression(Tok(e.tok), CloneExpr(e.E));

      } else {
        Contract.Assert(false); throw new cce.UnreachableException();  // unexpected expression
      }
    }

    public MatchCaseExpr CloneMatchCaseExpr(MatchCaseExpr c) {
      Contract.Requires(c != null);
      if (c.Arguments != null) {
        Contract.Assert(c.CasePatterns == null);
        return new MatchCaseExpr(Tok(c.tok), c.Id, c.Arguments.ConvertAll(CloneBoundVar), CloneExpr(c.Body));
      } else {
        Contract.Assert(c.Arguments == null);
        Contract.Assert(c.CasePatterns != null);
        return new MatchCaseExpr(Tok(c.tok), c.Id, c.CasePatterns.ConvertAll(CloneCasePattern), CloneExpr(c.Body));
      }
    }

    public virtual Expression CloneApplySuffix(ApplySuffix e) {
        return new ApplySuffix(Tok(e.tok), CloneExpr(e.Lhs), e.Args.ConvertAll(CloneExpr));
    }

    public virtual CasePattern CloneCasePattern(CasePattern pat) {
      Contract.Requires(pat != null);
      if (pat.Var != null) {
        return new CasePattern(pat.tok, CloneBoundVar(pat.Var));
      } else if (pat.Arguments == null) {
        return new CasePattern(pat.tok, pat.Id, null);
      } else {
        return new CasePattern(pat.tok, pat.Id, pat.Arguments.ConvertAll(CloneCasePattern));
      }
    }

    public virtual NameSegment CloneNameSegment(Expression expr) {
      var e = (NameSegment)expr;
      return new NameSegment(Tok(e.tok), e.Name, e.OptTypeArguments == null ? null : e.OptTypeArguments.ConvertAll(CloneType));
    }

    public virtual AssignmentRhs CloneRHS(AssignmentRhs rhs) {
      AssignmentRhs c;
      if (rhs is ExprRhs) {
        var r = (ExprRhs)rhs;
        c = new ExprRhs(CloneExpr(r.Expr));
      } else if (rhs is HavocRhs) {
        c = new HavocRhs(Tok(rhs.Tok));
      } else {
        var r = (TypeRhs)rhs;
        if (r.ArrayDimensions != null) {
          c = new TypeRhs(Tok(r.Tok), CloneType(r.EType), r.ArrayDimensions.ConvertAll(CloneExpr));
        } else if (r.Arguments == null) {
          c = new TypeRhs(Tok(r.Tok), CloneType(r.EType));
        } else {
          c = new TypeRhs(Tok(r.Tok), CloneType(r.Path), r.Arguments.ConvertAll(CloneExpr), false);
        }
      }
      c.Attributes = CloneAttributes(rhs.Attributes);
      return c;
    }

    public virtual BlockStmt CloneBlockStmt(BlockStmt stmt) {
      if (stmt == null) {
        return null;
      } else {
        return new BlockStmt(Tok(stmt.Tok), Tok(stmt.EndTok), stmt.Body.ConvertAll(CloneStmt));
      }
    }

    public virtual Statement CloneStmt(Statement stmt) {
      if (stmt == null) {
        return null;
      }

      Statement r;
      if (stmt is AssertStmt) {
        var s = (AssertStmt)stmt;
        r = new AssertStmt(Tok(s.Tok), Tok(s.EndTok), CloneExpr(s.Expr), null);

      } else if (stmt is AssumeStmt) {
        var s = (AssumeStmt)stmt;
        r = new AssumeStmt(Tok(s.Tok), Tok(s.EndTok), CloneExpr(s.Expr), null);

      } else if (stmt is PrintStmt) {
        var s = (PrintStmt)stmt;
        r = new PrintStmt(Tok(s.Tok), Tok(s.EndTok), s.Args.ConvertAll(CloneExpr));

      } else if (stmt is BreakStmt) {
        var s = (BreakStmt)stmt;
        if (s.TargetLabel != null) {
          r = new BreakStmt(Tok(s.Tok), Tok(s.EndTok), s.TargetLabel);
        } else {
          r = new BreakStmt(Tok(s.Tok), Tok(s.EndTok), s.BreakCount);
        }

      } else if (stmt is ReturnStmt) {
        var s = (ReturnStmt)stmt;
        r = new ReturnStmt(Tok(s.Tok), Tok(s.EndTok), s.rhss == null ? null : s.rhss.ConvertAll(CloneRHS));

      } else if (stmt is YieldStmt) {
        var s = (YieldStmt)stmt;
        r = new YieldStmt(Tok(s.Tok), Tok(s.EndTok), s.rhss == null ? null : s.rhss.ConvertAll(CloneRHS));

      } else if (stmt is AssignStmt) {
        var s = (AssignStmt)stmt;
        r = new AssignStmt(Tok(s.Tok), Tok(s.EndTok), CloneExpr(s.Lhs), CloneRHS(s.Rhs));

      } else if (stmt is BlockStmt) {
        r = CloneBlockStmt((BlockStmt)stmt);

      } else if (stmt is IfStmt) {
        var s = (IfStmt)stmt;
        r = new IfStmt(Tok(s.Tok), Tok(s.EndTok), CloneExpr(s.Guard), CloneBlockStmt(s.Thn), CloneStmt(s.Els));

      } else if (stmt is AlternativeStmt) {
        var s = (AlternativeStmt)stmt;
        r = new AlternativeStmt(Tok(s.Tok), Tok(s.EndTok), s.Alternatives.ConvertAll(CloneGuardedAlternative));

      } else if (stmt is WhileStmt) {
        var s = (WhileStmt)stmt;
        r = new WhileStmt(Tok(s.Tok), Tok(s.EndTok), CloneExpr(s.Guard), s.Invariants.ConvertAll(CloneMayBeFreeExpr), CloneSpecExpr(s.Decreases), CloneSpecFrameExpr(s.Mod), CloneBlockStmt(s.Body));

      } else if (stmt is AlternativeLoopStmt) {
        var s = (AlternativeLoopStmt)stmt;
        r = new AlternativeLoopStmt(Tok(s.Tok), Tok(s.EndTok), s.Invariants.ConvertAll(CloneMayBeFreeExpr), CloneSpecExpr(s.Decreases), CloneSpecFrameExpr(s.Mod), s.Alternatives.ConvertAll(CloneGuardedAlternative));

      } else if (stmt is ForallStmt) {
        var s = (ForallStmt)stmt;
        r = new ForallStmt(Tok(s.Tok), Tok(s.EndTok), s.BoundVars.ConvertAll(CloneBoundVar), null, CloneExpr(s.Range), s.Ens.ConvertAll(CloneMayBeFreeExpr), CloneStmt(s.Body));

      } else if (stmt is CalcStmt) {
          var s = (CalcStmt)stmt;
          r = new CalcStmt(Tok(s.Tok), Tok(s.EndTok), CloneCalcOp(s.Op), s.Lines.ConvertAll(CloneExpr), s.Hints.ConvertAll(CloneBlockStmt), s.StepOps.ConvertAll(CloneCalcOp), CloneCalcOp(s.ResultOp));

      } else if (stmt is MatchStmt) {
        var s = (MatchStmt)stmt;
        r = new MatchStmt(Tok(s.Tok), Tok(s.EndTok), CloneExpr(s.Source),
          s.Cases.ConvertAll(CloneMatchCaseStmt), s.UsesOptionalBraces);

      } else if (stmt is AssignSuchThatStmt) {
        var s = (AssignSuchThatStmt)stmt;
        r = new AssignSuchThatStmt(Tok(s.Tok), Tok(s.EndTok), s.Lhss.ConvertAll(CloneExpr), CloneExpr(s.Expr), s.AssumeToken == null ? null : Tok(s.AssumeToken), null);

      } else if (stmt is UpdateStmt) {
        var s = (UpdateStmt)stmt;
        r = new UpdateStmt(Tok(s.Tok), Tok(s.EndTok), s.Lhss.ConvertAll(CloneExpr), s.Rhss.ConvertAll(CloneRHS), s.CanMutateKnownState);

      } else if (stmt is VarDeclStmt) {
        var s = (VarDeclStmt)stmt;
        var lhss = s.Locals.ConvertAll(c => new LocalVariable(Tok(c.Tok), Tok(c.EndTok), c.Name, CloneType(c.OptionalType), c.IsGhost));
        r = new VarDeclStmt(Tok(s.Tok), Tok(s.EndTok), lhss, (ConcreteUpdateStatement)CloneStmt(s.Update));

      } else if (stmt is ModifyStmt) {
        var s = (ModifyStmt)stmt;
        var mod = CloneSpecFrameExpr(s.Mod);
        var body = s.Body == null ? null : CloneBlockStmt(s.Body);
        r = new ModifyStmt(Tok(s.Tok), Tok(s.EndTok), mod.Expressions, mod.Attributes, body);

      } else {
        Contract.Assert(false); throw new cce.UnreachableException();  // unexpected statement
      }

      // add labels to the cloned statement
      AddStmtLabels(r, stmt.Labels);
      r.Attributes = CloneAttributes(stmt.Attributes);

      return r;
    }

    public MatchCaseStmt CloneMatchCaseStmt(MatchCaseStmt c) {
      Contract.Requires(c != null);
      if (c.Arguments != null) {
        Contract.Assert(c.CasePatterns == null);
        return new MatchCaseStmt(Tok(c.tok), c.Id, c.Arguments.ConvertAll(CloneBoundVar), c.Body.ConvertAll(CloneStmt));
      } else {
        Contract.Assert(c.Arguments == null);
        Contract.Assert(c.CasePatterns != null);
        return new MatchCaseStmt(Tok(c.tok), c.Id, c.CasePatterns.ConvertAll(CloneCasePattern), c.Body.ConvertAll(CloneStmt));
      }
    }

    public CalcStmt.CalcOp CloneCalcOp(CalcStmt.CalcOp op) {
      if (op is CalcStmt.BinaryCalcOp) {
        return new CalcStmt.BinaryCalcOp(((CalcStmt.BinaryCalcOp) op).Op);
      } else if (op is CalcStmt.TernaryCalcOp) {
        return new CalcStmt.TernaryCalcOp(CloneExpr(((CalcStmt.TernaryCalcOp) op).Index));
      } else {
        Contract.Assert(false);
        throw new cce.UnreachableException();
      }
    }

    public void AddStmtLabels(Statement s, LList<Label> node) {
      if (node != null) {
        AddStmtLabels(s, node.Next);
        if (node.Data.Name == null) {
          // this indicates an implicit-target break statement that has been resolved; don't add it
        } else {
          s.Labels = new LList<Label>(new Label(Tok(node.Data.Tok), node.Data.Name), s.Labels);
        }
      }
    }

    public GuardedAlternative CloneGuardedAlternative(GuardedAlternative alt) {
      return new GuardedAlternative(Tok(alt.Tok), CloneExpr(alt.Guard), alt.Body.ConvertAll(CloneStmt));
    }

    public Function CloneFunction(Function f, string newName = null) {
      var tps = f.TypeArgs.ConvertAll(CloneTypeParam);
      var formals = f.Formals.ConvertAll(CloneFormal);
      var req = f.Req.ConvertAll(CloneExpr);
      var reads = f.Reads.ConvertAll(CloneFrameExpr);
      var decreases = CloneSpecExpr(f.Decreases);
      var ens = f.Ens.ConvertAll(CloneExpr);
      var body = CloneExpr(f.Body);

      if (newName == null) {
        newName = f.Name;
      }

      if (f is Predicate) {
        return new Predicate(Tok(f.tok), newName, f.HasStaticKeyword, f.IsProtected, f.IsGhost, tps, formals,
          req, reads, ens, decreases, body, Predicate.BodyOriginKind.OriginalOrInherited, CloneAttributes(f.Attributes), null);
      } else if (f is InductivePredicate) {
        return new InductivePredicate(Tok(f.tok), newName, f.HasStaticKeyword, f.IsProtected, tps, formals,
          req, reads, ens, body, CloneAttributes(f.Attributes), null);
      } else if (f is CoPredicate) {
        return new CoPredicate(Tok(f.tok), newName, f.HasStaticKeyword, f.IsProtected, tps, formals,
          req, reads, ens, body, CloneAttributes(f.Attributes), null);
      } else {
        return new Function(Tok(f.tok), newName, f.HasStaticKeyword, f.IsProtected, f.IsGhost, tps, formals, CloneType(f.ResultType),
          req, reads, ens, decreases, body, CloneAttributes(f.Attributes), null);
      }
    }

    public Method CloneMethod(Method m) {
      Contract.Requires(m != null);

      var tps = m.TypeArgs.ConvertAll(CloneTypeParam);
      var ins = m.Ins.ConvertAll(CloneFormal);
      var req = m.Req.ConvertAll(CloneMayBeFreeExpr);
      var mod = CloneSpecFrameExpr(m.Mod);
      var decreases = CloneSpecExpr(m.Decreases);

      var ens = m.Ens.ConvertAll(CloneMayBeFreeExpr);

      var body = CloneBlockStmt(m.Body);
      if (m is Constructor) {
        return new Constructor(Tok(m.tok), m.Name, tps, ins,
          req, mod, ens, decreases, body, CloneAttributes(m.Attributes), null);
      } else if (m is InductiveLemma) {
        return new InductiveLemma(Tok(m.tok), m.Name, m.HasStaticKeyword, tps, ins, m.Outs.ConvertAll(CloneFormal),
          req, mod, ens, decreases, body, CloneAttributes(m.Attributes), null);
      } else if (m is CoLemma) {
        return new CoLemma(Tok(m.tok), m.Name, m.HasStaticKeyword, tps, ins, m.Outs.ConvertAll(CloneFormal),
          req, mod, ens, decreases, body, CloneAttributes(m.Attributes), null);
      } else if (m is Lemma) {
        return new Lemma(Tok(m.tok), m.Name, m.HasStaticKeyword, tps, ins, m.Outs.ConvertAll(CloneFormal),
          req, mod, ens, decreases, body, CloneAttributes(m.Attributes), null);
      } else {
        return new Method(Tok(m.tok), m.Name, m.HasStaticKeyword, m.IsGhost, tps, ins, m.Outs.ConvertAll(CloneFormal),
          req, mod, ens, decreases, body, CloneAttributes(m.Attributes), null);
      }
    }
    public virtual IToken Tok(IToken tok) {
      return tok;
    }
  }

  class ClonerButDropMethodBodies : Cloner
  {
    public ClonerButDropMethodBodies()
      : base() {
    }

    public override BlockStmt CloneBlockStmt(BlockStmt stmt) {
      return null;
    }
  }

  /// <summary>
  /// Subclass of Cloner that collects some common functionality between FixpointLemmaSpecificationSubstituter and
  /// FixpointLemmaBodyCloner.
  /// </summary>
  abstract class FixpointCloner : Cloner
  {
    protected readonly Expression k;
    readonly Resolver resolver;
    readonly string suffix;
    protected FixpointCloner(Expression k, Resolver resolver)
    {
      Contract.Requires(k != null);
      Contract.Requires(resolver != null);
      this.k = k;
      this.resolver = resolver;
      this.suffix = string.Format("#[{0}]", Printer.ExprToString(k));
    }
    protected void ReportAdditionalInformation(IToken tok, string s)
    {
      Contract.Requires(tok != null);
      Contract.Requires(s != null);
      resolver.ReportAdditionalInformation(tok, s + suffix, s.Length);
    }
  }

  /// <summary>
  /// The FixpointLemmaSpecificationSubstituter clones the precondition (or postcondition) declared
  /// on an inductive lemma (resp. colemma), but replaces the calls and equalities in "coConclusions"
  /// with corresponding prefix versions.  The resulting expression is then appropriate to be a
  /// precondition (resp. postcondition) of the inductive lemma's (resp. colemma's) corresponding prefix lemma.
  /// It is assumed that the source expression has been resolved.  Note, the "k" given to the constructor
  /// is not cloned with each use; it is simply used as is.
  /// </summary>
  class FixpointLemmaSpecificationSubstituter : FixpointCloner
  {
    readonly bool isCoContext;
    readonly ISet<Expression> friendlyCalls;
    public FixpointLemmaSpecificationSubstituter(ISet<Expression> friendlyCalls, Expression k, Resolver resolver, bool isCoContext)
      : base(k, resolver)
    {
      Contract.Requires(friendlyCalls != null);
      Contract.Requires(k != null);
      Contract.Requires(resolver != null);
      this.isCoContext = isCoContext;
      this.friendlyCalls = friendlyCalls;
    }
    public override Expression CloneExpr(Expression expr) {
      if (expr is ConcreteSyntaxExpression) {
        var e = (ConcreteSyntaxExpression)expr;
        // Note, the CoLemmaPostconditionSubstituter is an unusual cloner in that it operates on
        // resolved expressions.  Hence, we bypass the syntactic parts here.
        return CloneExpr(e.Resolved);
      } else if (expr is FunctionCallExpr) {
        var e = (FunctionCallExpr)expr;
        if (friendlyCalls.Contains(e)) {
          var receiver = CloneExpr(e.Receiver);
          var args = new List<Expression>();
          args.Add(k);
          foreach (var arg in e.Args) {
            args.Add(CloneExpr(arg));
          }
          var fexp = new FunctionCallExpr(Tok(e.tok), e.Name + "#", receiver, e.OpenParen, args);
          ReportAdditionalInformation(e.tok, e.Name);
          return fexp;
        }
      } else if (expr is BinaryExpr && isCoContext) {
        var e = (BinaryExpr)expr;
        if ((e.ResolvedOp == BinaryExpr.ResolvedOpcode.EqCommon || e.ResolvedOp == BinaryExpr.ResolvedOpcode.NeqCommon) && friendlyCalls.Contains(e)) {
          var op = e.ResolvedOp == BinaryExpr.ResolvedOpcode.EqCommon ? TernaryExpr.Opcode.PrefixEqOp : TernaryExpr.Opcode.PrefixNeqOp;
          var A = CloneExpr(e.E0);
          var B = CloneExpr(e.E1);
          var teq = new TernaryExpr(Tok(e.tok), op, k, A, B);
          var opString = op == TernaryExpr.Opcode.PrefixEqOp ? "==" : "!=";
          ReportAdditionalInformation(e.tok, opString);
          return teq;
        }
      }
      return base.CloneExpr(expr);
    }
    public override Type CloneType(Type t) {
      if (t is UserDefinedType) {
        var tt = (UserDefinedType)t;
        // We want syntactic cloning of the Expression that is tt.NamePath, unlike the semantic (that is, post-resolved)
        // cloning that CloneExpr is doing above.
        return new UserDefinedType(Tok(tt.tok), CloneNamePathExpression(tt.NamePath));
      } else {
        return base.CloneType(t);
      }
    }
    Expression CloneNamePathExpression(Expression expr) {
      Contract.Requires(expr is NameSegment || expr is ExprDotName);
      if (expr is NameSegment) {
        var e = (NameSegment)expr;
        return new NameSegment(Tok(e.tok), e.Name, e.OptTypeArguments == null ? null : e.OptTypeArguments.ConvertAll(CloneType));
      } else {
        var e = (ExprDotName)expr;
        return new ExprDotName(Tok(e.tok), CloneNamePathExpression(e.Lhs), e.SuffixName, e.OptTypeArguments == null ? null : e.OptTypeArguments.ConvertAll(CloneType));
      }
    }
  }

  /// <summary>
  /// The task of the FixpointLemmaBodyCloner is to fill in the implicit _k-1 arguments in recursive inductive/co-lemma calls.
  /// The source statement and the given "k" are assumed to have been resolved.
  /// </summary>
  class FixpointLemmaBodyCloner : FixpointCloner
  {
    readonly FixpointLemma context;
    public FixpointLemmaBodyCloner(FixpointLemma context, Expression k, Resolver resolver)
      : base(k, resolver)
    {
      Contract.Requires(context != null);
      Contract.Requires(k != null);
      Contract.Requires(resolver != null);
      this.context = context;
    }
    public override AssignmentRhs CloneRHS(AssignmentRhs rhs) {
      var r = rhs as ExprRhs;
      if (r != null && r.Expr is ApplySuffix) {
        var apply = (ApplySuffix)r.Expr;
        var mse = apply.Lhs.Resolved as MemberSelectExpr;
        if (mse != null && mse.Member is FixpointLemma && ModuleDefinition.InSameSCC(context, (FixpointLemma)mse.Member)) {
          // we're looking at a recursive call to a fixpoint lemma
          Contract.Assert(apply.Lhs is NameSegment || apply.Lhs is ExprDotName);  // this is the only way a call statement can have been parsed
          // clone "apply.Lhs", changing the inductive/co lemma to the prefix lemma; then clone "apply", adding in the extra argument
          Expression lhsClone;
          if (apply.Lhs is NameSegment) {
            var lhs = (NameSegment)apply.Lhs;
            lhsClone = new NameSegment(Tok(lhs.tok), lhs.Name + "#", lhs.OptTypeArguments == null ? null : lhs.OptTypeArguments.ConvertAll(CloneType));
          } else {
            var lhs = (ExprDotName)apply.Lhs;
            lhsClone = new ExprDotName(Tok(lhs.tok), CloneExpr(lhs.Lhs), lhs.SuffixName + "#", lhs.OptTypeArguments == null ? null : lhs.OptTypeArguments.ConvertAll(CloneType));
          }
          var args = new List<Expression>();
          args.Add(k);
          apply.Args.ForEach(arg => args.Add(CloneExpr(arg)));
          var applyClone = new ApplySuffix(Tok(apply.tok), lhsClone, args);
          var c = new ExprRhs(applyClone);
          ReportAdditionalInformation(apply.tok, mse.Member.Name);
          return c;
        }
      }
      return base.CloneRHS(rhs);
    }
  }


  class ResolvedCloner : Cloner {

    public override Type CloneType(Type t) {
      Type new_t = base.CloneType(t);

      if (t is UserDefinedType) {
        var tt = (UserDefinedType)t;
        var new_tt = (UserDefinedType)new_t;

        new_tt.ResolvedClass = tt.ResolvedClass;
        new_tt.ResolvedParam = tt.ResolvedParam;                
      }

      return new_t;
    }

    public override CasePattern CloneCasePattern(CasePattern pat) {
      if (pat.Var != null) {
        var newPat = new CasePattern(pat.tok, CloneBoundVar(pat.Var));
        newPat.AssembleExpr(null);
        return newPat;
      } else {
        var newArgs = pat.Arguments == null ? null : pat.Arguments.ConvertAll(CloneCasePattern);
        var patE = (DatatypeValue)pat.Expr;
        var newPat = new CasePattern(pat.tok, pat.Id, newArgs);
        newPat.Ctor = pat.Ctor;
        newPat.AssembleExpr(patE.InferredTypeArgs.ConvertAll(CloneType));
        return newPat;
      }
    }

    public override BoundVar CloneBoundVar(BoundVar bv) {
      // The difference here from the overridden method is that we do CloneType(bv.Type) instead of CloneType(bv.SyntacticType)
      var bvNew = new BoundVar(Tok(bv.tok), bv.Name, CloneType(bv.Type));
      bvNew.IsGhost = bv.IsGhost;
      return bvNew;
    }
  }

}