1------------------------------------------------------------------------------
2--                                                                          --
3--                         GNAT LIBRARY COMPONENTS                          --
4--                                                                          --
5--    A D A . C O N T A I N E R S . F O R M A L _ H A S H E D _ S E T S     --
6--                                                                          --
7--                                 B o d y                                  --
8--                                                                          --
9--          Copyright (C) 2010-2015, Free Software Foundation, Inc.         --
10--                                                                          --
11-- GNAT is free software;  you can  redistribute it  and/or modify it under --
12-- terms of the  GNU General Public License as published  by the Free Soft- --
13-- ware  Foundation;  either version 3,  or (at your option) any later ver- --
14-- sion.  GNAT is distributed in the hope that it will be useful, but WITH- --
15-- OUT ANY WARRANTY;  without even the  implied warranty of MERCHANTABILITY --
16-- or FITNESS FOR A PARTICULAR PURPOSE.                                     --
17--                                                                          --
18-- As a special exception under Section 7 of GPL version 3, you are granted --
19-- additional permissions described in the GCC Runtime Library Exception,   --
20-- version 3.1, as published by the Free Software Foundation.               --
21--                                                                          --
22-- You should have received a copy of the GNU General Public License and    --
23-- a copy of the GCC Runtime Library Exception along with this program;     --
24-- see the files COPYING3 and COPYING.RUNTIME respectively.  If not, see    --
25-- <http://www.gnu.org/licenses/>.                                          --
26------------------------------------------------------------------------------
27
28with Ada.Containers.Hash_Tables.Generic_Bounded_Operations;
29pragma Elaborate_All (Ada.Containers.Hash_Tables.Generic_Bounded_Operations);
30
31with Ada.Containers.Hash_Tables.Generic_Bounded_Keys;
32pragma Elaborate_All (Ada.Containers.Hash_Tables.Generic_Bounded_Keys);
33
34with Ada.Containers.Prime_Numbers; use Ada.Containers.Prime_Numbers;
35
36with System; use type System.Address;
37
38package body Ada.Containers.Formal_Hashed_Sets with
39  SPARK_Mode => Off
40is
41
42   -----------------------
43   -- Local Subprograms --
44   -----------------------
45
46   --  All need comments ???
47
48   procedure Difference
49     (Left, Right : Set;
50      Target      : in out Set);
51
52   function Equivalent_Keys
53     (Key  : Element_Type;
54      Node : Node_Type) return Boolean;
55   pragma Inline (Equivalent_Keys);
56
57   procedure Free
58     (HT : in out Set;
59      X  : Count_Type);
60
61   generic
62      with procedure Set_Element (Node : in out Node_Type);
63   procedure Generic_Allocate
64     (HT   : in out Set;
65      Node : out Count_Type);
66
67   function Hash_Node (Node : Node_Type) return Hash_Type;
68   pragma Inline (Hash_Node);
69
70   procedure Insert
71     (Container       : in out Set;
72      New_Item : Element_Type;
73      Node     : out Count_Type;
74      Inserted : out Boolean);
75
76   procedure Intersection
77     (Left   : Set;
78      Right  : Set;
79      Target : in out Set);
80
81   function Is_In
82     (HT  : Set;
83      Key : Node_Type) return Boolean;
84   pragma Inline (Is_In);
85
86   procedure Set_Element (Node : in out Node_Type; Item : Element_Type);
87   pragma Inline (Set_Element);
88
89   function Next (Node : Node_Type) return Count_Type;
90   pragma Inline (Next);
91
92   procedure Set_Next (Node : in out Node_Type; Next : Count_Type);
93   pragma Inline (Set_Next);
94
95   function Vet (Container : Set; Position : Cursor) return Boolean;
96
97   --------------------------
98   -- Local Instantiations --
99   --------------------------
100
101   package HT_Ops is new Hash_Tables.Generic_Bounded_Operations
102     (HT_Types  => HT_Types,
103      Hash_Node => Hash_Node,
104      Next      => Next,
105      Set_Next  => Set_Next);
106
107   package Element_Keys is new Hash_Tables.Generic_Bounded_Keys
108     (HT_Types        => HT_Types,
109      Next            => Next,
110      Set_Next        => Set_Next,
111      Key_Type        => Element_Type,
112      Hash            => Hash,
113      Equivalent_Keys => Equivalent_Keys);
114
115   procedure Replace_Element is
116     new Element_Keys.Generic_Replace_Element (Hash_Node, Set_Element);
117
118   ---------
119   -- "=" --
120   ---------
121
122   function "=" (Left, Right : Set) return Boolean is
123   begin
124      if Length (Left) /= Length (Right) then
125         return False;
126      end if;
127
128      if Length (Left) = 0 then
129         return True;
130      end if;
131
132      declare
133         Node  : Count_Type;
134         ENode : Count_Type;
135
136      begin
137         Node  := First (Left).Node;
138         while Node /= 0 loop
139            ENode := Find (Container => Right,
140                           Item      => Left.Nodes (Node).Element).Node;
141            if ENode = 0 or else
142              Right.Nodes (ENode).Element /= Left.Nodes (Node).Element
143            then
144               return False;
145            end if;
146
147            Node := HT_Ops.Next (Left, Node);
148         end loop;
149
150         return True;
151
152      end;
153
154   end "=";
155
156   ------------
157   -- Assign --
158   ------------
159
160   procedure Assign (Target : in out Set; Source : Set) is
161      procedure Insert_Element (Source_Node : Count_Type);
162
163      procedure Insert_Elements is
164        new HT_Ops.Generic_Iteration (Insert_Element);
165
166      --------------------
167      -- Insert_Element --
168      --------------------
169
170      procedure Insert_Element (Source_Node : Count_Type) is
171         N : Node_Type renames Source.Nodes (Source_Node);
172         X : Count_Type;
173         B : Boolean;
174
175      begin
176         Insert (Target, N.Element, X, B);
177         pragma Assert (B);
178      end Insert_Element;
179
180   --  Start of processing for Assign
181
182   begin
183      if Target'Address = Source'Address then
184         return;
185      end if;
186
187      if Target.Capacity < Length (Source) then
188         raise Storage_Error with "not enough capacity";  -- SE or CE? ???
189      end if;
190
191      HT_Ops.Clear (Target);
192      Insert_Elements (Source);
193   end Assign;
194
195   --------------
196   -- Capacity --
197   --------------
198
199   function Capacity (Container : Set) return Count_Type is
200   begin
201      return Container.Nodes'Length;
202   end Capacity;
203
204   -----------
205   -- Clear --
206   -----------
207
208   procedure Clear (Container : in out Set) is
209   begin
210      HT_Ops.Clear (Container);
211   end Clear;
212
213   --------------
214   -- Contains --
215   --------------
216
217   function Contains (Container : Set; Item : Element_Type) return Boolean is
218   begin
219      return Find (Container, Item) /= No_Element;
220   end Contains;
221
222   ----------
223   -- Copy --
224   ----------
225
226   function Copy
227     (Source   : Set;
228      Capacity : Count_Type := 0) return Set
229   is
230      C      : constant Count_Type :=
231        Count_Type'Max (Capacity, Source.Capacity);
232      H      : Hash_Type;
233      N      : Count_Type;
234      Target : Set (C, Source.Modulus);
235      Cu     : Cursor;
236
237   begin
238      if 0 < Capacity and then Capacity < Source.Capacity then
239         raise Capacity_Error;
240      end if;
241
242      Target.Length := Source.Length;
243      Target.Free := Source.Free;
244
245      H := 1;
246      while H <= Source.Modulus loop
247         Target.Buckets (H) := Source.Buckets (H);
248         H := H + 1;
249      end loop;
250
251      N := 1;
252      while N <= Source.Capacity loop
253         Target.Nodes (N) := Source.Nodes (N);
254         N := N + 1;
255      end loop;
256
257      while N <= C loop
258         Cu := (Node => N);
259         Free (Target, Cu.Node);
260         N := N + 1;
261      end loop;
262
263      return Target;
264   end Copy;
265
266   ---------------------
267   -- Current_To_Last --
268   ---------------------
269
270   function Current_To_Last (Container : Set; Current : Cursor) return Set is
271      Curs : Cursor := First (Container);
272      C    : Set (Container.Capacity, Container.Modulus) :=
273               Copy (Container, Container.Capacity);
274      Node : Count_Type;
275
276   begin
277      if Curs = No_Element then
278         Clear (C);
279         return C;
280
281      elsif Current /= No_Element and not Has_Element (Container, Current) then
282         raise Constraint_Error;
283
284      else
285         while Curs.Node /= Current.Node loop
286            Node := Curs.Node;
287            Delete (C, Curs);
288            Curs := Next (Container, (Node => Node));
289         end loop;
290
291         return C;
292      end if;
293   end Current_To_Last;
294
295   ---------------------
296   -- Default_Modulus --
297   ---------------------
298
299   function Default_Modulus (Capacity : Count_Type) return Hash_Type is
300   begin
301      return To_Prime (Capacity);
302   end Default_Modulus;
303
304   ------------
305   -- Delete --
306   ------------
307
308   procedure Delete
309     (Container : in out Set;
310      Item      : Element_Type)
311   is
312      X : Count_Type;
313
314   begin
315      Element_Keys.Delete_Key_Sans_Free (Container, Item, X);
316
317      if X = 0 then
318         raise Constraint_Error with "attempt to delete element not in set";
319      end if;
320
321      Free (Container, X);
322   end Delete;
323
324   procedure Delete
325     (Container : in out Set;
326      Position  : in out Cursor)
327   is
328   begin
329      if not Has_Element (Container, Position) then
330         raise Constraint_Error with "Position cursor has no element";
331      end if;
332
333      pragma Assert (Vet (Container, Position), "bad cursor in Delete");
334
335      HT_Ops.Delete_Node_Sans_Free (Container, Position.Node);
336      Free (Container, Position.Node);
337
338      Position := No_Element;
339   end Delete;
340
341   ----------------
342   -- Difference --
343   ----------------
344
345   procedure Difference
346     (Target : in out Set;
347      Source : Set)
348   is
349      Tgt_Node, Src_Node, Src_Last, Src_Length : Count_Type;
350
351      TN : Nodes_Type renames Target.Nodes;
352      SN : Nodes_Type renames Source.Nodes;
353
354   begin
355      if Target'Address = Source'Address then
356         Clear (Target);
357         return;
358      end if;
359
360      Src_Length := Source.Length;
361
362      if Src_Length = 0 then
363         return;
364      end if;
365
366      if Src_Length >= Target.Length then
367         Tgt_Node := HT_Ops.First (Target);
368         while Tgt_Node /= 0 loop
369            if Element_Keys.Find (Source, TN (Tgt_Node).Element) /= 0 then
370               declare
371                  X : constant Count_Type := Tgt_Node;
372               begin
373                  Tgt_Node := HT_Ops.Next (Target, Tgt_Node);
374                  HT_Ops.Delete_Node_Sans_Free (Target, X);
375                  Free (Target, X);
376               end;
377
378            else
379               Tgt_Node := HT_Ops.Next (Target, Tgt_Node);
380            end if;
381         end loop;
382
383         return;
384      else
385         Src_Node := HT_Ops.First (Source);
386         Src_Last := 0;
387      end if;
388
389      while Src_Node /= Src_Last loop
390         Tgt_Node := Element_Keys.Find (Target, SN (Src_Node).Element);
391
392         if Tgt_Node /= 0 then
393            HT_Ops.Delete_Node_Sans_Free (Target, Tgt_Node);
394            Free (Target, Tgt_Node);
395         end if;
396
397         Src_Node := HT_Ops.Next (Source, Src_Node);
398      end loop;
399   end Difference;
400
401   procedure Difference
402     (Left, Right : Set;
403      Target      : in out Set)
404   is
405      procedure Process (L_Node : Count_Type);
406
407      procedure Iterate is
408        new HT_Ops.Generic_Iteration (Process);
409
410      -------------
411      -- Process --
412      -------------
413
414      procedure Process (L_Node : Count_Type) is
415         E : Element_Type renames Left.Nodes (L_Node).Element;
416         X : Count_Type;
417         B : Boolean;
418      begin
419         if Find (Right, E).Node = 0 then
420            Insert (Target, E, X, B);
421            pragma Assert (B);
422         end if;
423      end Process;
424
425   --  Start of processing for Difference
426
427   begin
428      Iterate (Left);
429   end Difference;
430
431   function Difference (Left, Right : Set) return Set is
432      C : Count_Type;
433      H : Hash_Type;
434
435   begin
436      if Left'Address = Right'Address then
437         return Empty_Set;
438      end if;
439
440      if Length (Left) = 0 then
441         return Empty_Set;
442      end if;
443
444      if Length (Right) = 0 then
445         return Left.Copy;
446      end if;
447
448      C := Length (Left);
449      H := Default_Modulus (C);
450
451      return S : Set (C, H) do
452         Difference (Left, Right, Target => S);
453      end return;
454   end Difference;
455
456   -------------
457   -- Element --
458   -------------
459
460   function Element
461     (Container : Set;
462      Position  : Cursor) return Element_Type
463   is
464   begin
465      if not Has_Element (Container, Position) then
466         raise Constraint_Error with "Position cursor equals No_Element";
467      end if;
468
469      pragma Assert (Vet (Container, Position),
470                     "bad cursor in function Element");
471
472      return Container.Nodes (Position.Node).Element;
473   end Element;
474
475   ---------------------
476   -- Equivalent_Sets --
477   ---------------------
478
479   function Equivalent_Sets (Left, Right : Set) return Boolean is
480
481      function Find_Equivalent_Key
482        (R_HT   : Hash_Table_Type'Class;
483         L_Node : Node_Type) return Boolean;
484      pragma Inline (Find_Equivalent_Key);
485
486      function Is_Equivalent is
487        new HT_Ops.Generic_Equal (Find_Equivalent_Key);
488
489      -------------------------
490      -- Find_Equivalent_Key --
491      -------------------------
492
493      function Find_Equivalent_Key
494        (R_HT   : Hash_Table_Type'Class;
495         L_Node : Node_Type) return Boolean
496      is
497         R_Index : constant Hash_Type :=
498           Element_Keys.Index (R_HT, L_Node.Element);
499         R_Node  : Count_Type := R_HT.Buckets (R_Index);
500         RN      : Nodes_Type renames R_HT.Nodes;
501
502      begin
503         loop
504            if R_Node = 0 then
505               return False;
506            end if;
507
508            if Equivalent_Elements
509                 (L_Node.Element, RN (R_Node).Element)
510            then
511               return True;
512            end if;
513
514            R_Node := HT_Ops.Next (R_HT, R_Node);
515         end loop;
516      end Find_Equivalent_Key;
517
518   --  Start of processing for Equivalent_Sets
519
520   begin
521      return Is_Equivalent (Left, Right);
522   end Equivalent_Sets;
523
524   -------------------------
525   -- Equivalent_Elements --
526   -------------------------
527
528   function Equivalent_Elements
529     (Left  : Set;
530      CLeft : Cursor;
531      Right  : Set;
532      CRight : Cursor) return Boolean
533   is
534   begin
535      if not Has_Element (Left, CLeft) then
536         raise Constraint_Error with
537           "Left cursor of Equivalent_Elements has no element";
538      end if;
539
540      if not Has_Element (Right, CRight) then
541         raise Constraint_Error with
542           "Right cursor of Equivalent_Elements has no element";
543      end if;
544
545      pragma Assert (Vet (Left, CLeft),
546                     "bad Left cursor in Equivalent_Elements");
547      pragma Assert (Vet (Right, CRight),
548                     "bad Right cursor in Equivalent_Elements");
549
550      declare
551         LN : Node_Type renames Left.Nodes (CLeft.Node);
552         RN : Node_Type renames Right.Nodes (CRight.Node);
553      begin
554         return Equivalent_Elements (LN.Element, RN.Element);
555      end;
556   end Equivalent_Elements;
557
558   function Equivalent_Elements
559     (Left  : Set;
560      CLeft : Cursor;
561      Right : Element_Type) return Boolean
562   is
563   begin
564      if not Has_Element (Left, CLeft) then
565         raise Constraint_Error with
566           "Left cursor of Equivalent_Elements has no element";
567      end if;
568
569      pragma Assert (Vet (Left, CLeft),
570                     "Left cursor in Equivalent_Elements is bad");
571
572      declare
573         LN : Node_Type renames Left.Nodes (CLeft.Node);
574      begin
575         return Equivalent_Elements (LN.Element, Right);
576      end;
577   end Equivalent_Elements;
578
579   function Equivalent_Elements
580     (Left   : Element_Type;
581      Right  : Set;
582      CRight : Cursor) return Boolean
583   is
584   begin
585      if not Has_Element (Right, CRight) then
586         raise Constraint_Error with
587           "Right cursor of Equivalent_Elements has no element";
588      end if;
589
590      pragma Assert
591        (Vet (Right, CRight),
592         "Right cursor of Equivalent_Elements is bad");
593
594      declare
595         RN : Node_Type renames Right.Nodes (CRight.Node);
596      begin
597         return Equivalent_Elements (Left, RN.Element);
598      end;
599   end Equivalent_Elements;
600
601   ---------------------
602   -- Equivalent_Keys --
603   ---------------------
604
605   function Equivalent_Keys
606     (Key  : Element_Type;
607      Node : Node_Type) return Boolean
608   is
609   begin
610      return Equivalent_Elements (Key, Node.Element);
611   end Equivalent_Keys;
612
613   -------------
614   -- Exclude --
615   -------------
616
617   procedure Exclude
618     (Container : in out Set;
619      Item      : Element_Type)
620   is
621      X : Count_Type;
622   begin
623      Element_Keys.Delete_Key_Sans_Free (Container, Item, X);
624      Free (Container, X);
625   end Exclude;
626
627   ----------
628   -- Find --
629   ----------
630
631   function Find
632     (Container : Set;
633      Item      : Element_Type) return Cursor
634   is
635      Node : constant Count_Type := Element_Keys.Find (Container, Item);
636
637   begin
638      if Node = 0 then
639         return No_Element;
640      end if;
641
642      return (Node => Node);
643   end Find;
644
645   -----------
646   -- First --
647   -----------
648
649   function First (Container : Set) return Cursor is
650      Node : constant Count_Type := HT_Ops.First (Container);
651
652   begin
653      if Node = 0 then
654         return No_Element;
655      end if;
656
657      return (Node => Node);
658   end First;
659
660   -----------------------
661   -- First_To_Previous --
662   -----------------------
663
664   function First_To_Previous
665     (Container : Set;
666      Current   : Cursor) return Set
667   is
668      Curs : Cursor := Current;
669      C    : Set (Container.Capacity, Container.Modulus) :=
670               Copy (Container, Container.Capacity);
671      Node : Count_Type;
672
673   begin
674      if Curs = No_Element then
675         return C;
676
677      elsif not Has_Element (Container, Curs) then
678         raise Constraint_Error;
679
680      else
681         while Curs.Node /= 0 loop
682            Node := Curs.Node;
683            Delete (C, Curs);
684            Curs := Next (Container, (Node => Node));
685         end loop;
686
687         return C;
688      end if;
689   end First_To_Previous;
690
691   ----------
692   -- Free --
693   ----------
694
695   procedure Free
696     (HT : in out Set;
697      X  : Count_Type)
698   is
699   begin
700      HT.Nodes (X).Has_Element := False;
701      HT_Ops.Free (HT, X);
702   end Free;
703
704   ----------------------
705   -- Generic_Allocate --
706   ----------------------
707
708   procedure Generic_Allocate
709     (HT   : in out Set;
710      Node : out Count_Type)
711   is
712      procedure Allocate is new HT_Ops.Generic_Allocate (Set_Element);
713   begin
714      Allocate (HT, Node);
715      HT.Nodes (Node).Has_Element := True;
716   end Generic_Allocate;
717
718   -----------------
719   -- Has_Element --
720   -----------------
721
722   function Has_Element (Container : Set; Position : Cursor) return Boolean is
723   begin
724      if Position.Node = 0
725        or else not Container.Nodes (Position.Node).Has_Element
726      then
727         return False;
728      end if;
729
730      return True;
731   end Has_Element;
732
733   ---------------
734   -- Hash_Node --
735   ---------------
736
737   function Hash_Node (Node : Node_Type) return Hash_Type is
738   begin
739      return Hash (Node.Element);
740   end Hash_Node;
741
742   -------------
743   -- Include --
744   -------------
745
746   procedure Include
747     (Container : in out Set;
748      New_Item  : Element_Type)
749   is
750      Position : Cursor;
751      Inserted : Boolean;
752
753   begin
754      Insert (Container, New_Item, Position, Inserted);
755
756      if not Inserted then
757         Container.Nodes (Position.Node).Element := New_Item;
758      end if;
759   end Include;
760
761   ------------
762   -- Insert --
763   ------------
764
765   procedure Insert
766     (Container : in out Set;
767      New_Item  : Element_Type;
768      Position  : out Cursor;
769      Inserted  : out Boolean)
770   is
771   begin
772      Insert (Container, New_Item, Position.Node, Inserted);
773   end Insert;
774
775   procedure Insert
776     (Container : in out Set;
777      New_Item  : Element_Type)
778   is
779      Position : Cursor;
780      Inserted : Boolean;
781
782   begin
783      Insert (Container, New_Item, Position, Inserted);
784
785      if not Inserted then
786         raise Constraint_Error with
787           "attempt to insert element already in set";
788      end if;
789   end Insert;
790
791   procedure Insert
792     (Container : in out Set;
793      New_Item  : Element_Type;
794      Node      : out Count_Type;
795      Inserted  : out Boolean)
796   is
797      procedure Allocate_Set_Element (Node : in out Node_Type);
798      pragma Inline (Allocate_Set_Element);
799
800      function New_Node return Count_Type;
801      pragma Inline (New_Node);
802
803      procedure Local_Insert is
804        new Element_Keys.Generic_Conditional_Insert (New_Node);
805
806      procedure Allocate is
807        new Generic_Allocate (Allocate_Set_Element);
808
809      ---------------------------
810      --  Allocate_Set_Element --
811      ---------------------------
812
813      procedure Allocate_Set_Element (Node : in out Node_Type) is
814      begin
815         Node.Element := New_Item;
816      end Allocate_Set_Element;
817
818      --------------
819      -- New_Node --
820      --------------
821
822      function New_Node return Count_Type is
823         Result : Count_Type;
824      begin
825         Allocate (Container, Result);
826         return Result;
827      end New_Node;
828
829   --  Start of processing for Insert
830
831   begin
832      Local_Insert (Container, New_Item, Node, Inserted);
833   end Insert;
834
835   ------------------
836   -- Intersection --
837   ------------------
838
839   procedure Intersection
840     (Target : in out Set;
841      Source : Set)
842   is
843      Tgt_Node : Count_Type;
844      TN       : Nodes_Type renames Target.Nodes;
845
846   begin
847      if Target'Address = Source'Address then
848         return;
849      end if;
850
851      if Source.Length = 0 then
852         Clear (Target);
853         return;
854      end if;
855
856      Tgt_Node := HT_Ops.First (Target);
857      while Tgt_Node /= 0 loop
858         if Find (Source, TN (Tgt_Node).Element).Node /= 0 then
859            Tgt_Node := HT_Ops.Next (Target, Tgt_Node);
860
861         else
862            declare
863               X : constant Count_Type := Tgt_Node;
864            begin
865               Tgt_Node := HT_Ops.Next (Target, Tgt_Node);
866               HT_Ops.Delete_Node_Sans_Free (Target, X);
867               Free (Target, X);
868            end;
869         end if;
870      end loop;
871   end Intersection;
872
873   procedure Intersection
874     (Left   : Set;
875      Right  : Set;
876      Target : in out Set)
877   is
878      procedure Process (L_Node : Count_Type);
879
880      procedure Iterate is
881        new HT_Ops.Generic_Iteration (Process);
882
883      -------------
884      -- Process --
885      -------------
886
887      procedure Process (L_Node : Count_Type) is
888         E : Element_Type renames Left.Nodes (L_Node).Element;
889         X : Count_Type;
890         B : Boolean;
891
892      begin
893         if Find (Right, E).Node /= 0 then
894            Insert (Target, E, X, B);
895            pragma Assert (B);
896         end if;
897      end Process;
898
899   --  Start of processing for Intersection
900
901   begin
902      Iterate (Left);
903   end Intersection;
904
905   function Intersection (Left, Right : Set) return Set is
906      C : Count_Type;
907      H : Hash_Type;
908
909   begin
910      if Left'Address = Right'Address then
911         return Left.Copy;
912      end if;
913
914      C := Count_Type'Min (Length (Left), Length (Right));  -- ???
915      H := Default_Modulus (C);
916
917      return S : Set (C, H) do
918         if Length (Left) /= 0 and Length (Right) /= 0 then
919               Intersection (Left, Right, Target => S);
920         end if;
921      end return;
922   end Intersection;
923
924   --------------
925   -- Is_Empty --
926   --------------
927
928   function Is_Empty (Container : Set) return Boolean is
929   begin
930      return Length (Container) = 0;
931   end Is_Empty;
932
933   -----------
934   -- Is_In --
935   -----------
936
937   function Is_In (HT : Set; Key : Node_Type) return Boolean is
938   begin
939      return Element_Keys.Find (HT, Key.Element) /= 0;
940   end Is_In;
941
942   ---------------
943   -- Is_Subset --
944   ---------------
945
946   function Is_Subset (Subset : Set; Of_Set : Set) return Boolean is
947      Subset_Node  : Count_Type;
948      Subset_Nodes : Nodes_Type renames Subset.Nodes;
949
950   begin
951      if Subset'Address = Of_Set'Address then
952         return True;
953      end if;
954
955      if Length (Subset) > Length (Of_Set) then
956         return False;
957      end if;
958
959      Subset_Node := First (Subset).Node;
960      while Subset_Node /= 0 loop
961         declare
962            N : Node_Type renames Subset_Nodes (Subset_Node);
963            E : Element_Type renames N.Element;
964
965         begin
966            if Find (Of_Set, E).Node = 0 then
967               return False;
968            end if;
969         end;
970
971         Subset_Node := HT_Ops.Next (Subset, Subset_Node);
972      end loop;
973
974      return True;
975   end Is_Subset;
976
977   ------------
978   -- Length --
979   ------------
980
981   function Length (Container : Set) return Count_Type is
982   begin
983      return Container.Length;
984   end Length;
985
986   ----------
987   -- Move --
988   ----------
989
990   --  Comments???
991
992   procedure Move (Target : in out Set; Source : in out Set) is
993      NN   : HT_Types.Nodes_Type renames Source.Nodes;
994      X, Y : Count_Type;
995
996   begin
997      if Target'Address = Source'Address then
998         return;
999      end if;
1000
1001      if Target.Capacity < Length (Source) then
1002         raise Constraint_Error with  -- ???
1003           "Source length exceeds Target capacity";
1004      end if;
1005
1006      Clear (Target);
1007
1008      if Source.Length = 0 then
1009         return;
1010      end if;
1011
1012      X := HT_Ops.First (Source);
1013      while X /= 0 loop
1014         Insert (Target, NN (X).Element);  -- optimize???
1015
1016         Y := HT_Ops.Next (Source, X);
1017
1018         HT_Ops.Delete_Node_Sans_Free (Source, X);
1019         Free (Source, X);
1020
1021         X := Y;
1022      end loop;
1023   end Move;
1024
1025   ----------
1026   -- Next --
1027   ----------
1028
1029   function Next (Node : Node_Type) return Count_Type is
1030   begin
1031      return Node.Next;
1032   end Next;
1033
1034   function Next (Container : Set; Position : Cursor) return Cursor is
1035   begin
1036      if Position.Node = 0 then
1037         return No_Element;
1038      end if;
1039
1040      if not Has_Element (Container, Position) then
1041         raise Constraint_Error
1042           with "Position has no element";
1043      end if;
1044
1045      pragma Assert (Vet (Container, Position), "bad cursor in Next");
1046
1047      return (Node => HT_Ops.Next (Container, Position.Node));
1048   end Next;
1049
1050   procedure Next (Container : Set; Position : in out Cursor) is
1051   begin
1052      Position := Next (Container, Position);
1053   end Next;
1054
1055   -------------
1056   -- Overlap --
1057   -------------
1058
1059   function Overlap (Left, Right : Set) return Boolean is
1060      Left_Node  : Count_Type;
1061      Left_Nodes : Nodes_Type renames Left.Nodes;
1062
1063   begin
1064      if Length (Right) = 0 or Length (Left) = 0 then
1065         return False;
1066      end if;
1067
1068      if Left'Address = Right'Address then
1069         return True;
1070      end if;
1071
1072      Left_Node := First (Left).Node;
1073      while Left_Node /= 0 loop
1074         declare
1075            N : Node_Type renames Left_Nodes (Left_Node);
1076            E : Element_Type renames N.Element;
1077         begin
1078            if Find (Right, E).Node /= 0 then
1079               return True;
1080            end if;
1081         end;
1082
1083         Left_Node := HT_Ops.Next (Left, Left_Node);
1084      end loop;
1085
1086      return False;
1087   end Overlap;
1088
1089   -------------
1090   -- Replace --
1091   -------------
1092
1093   procedure Replace
1094     (Container : in out Set;
1095      New_Item  : Element_Type)
1096   is
1097      Node : constant Count_Type := Element_Keys.Find (Container, New_Item);
1098
1099   begin
1100      if Node = 0 then
1101         raise Constraint_Error with
1102           "attempt to replace element not in set";
1103      end if;
1104
1105      Container.Nodes (Node).Element := New_Item;
1106   end Replace;
1107
1108   ---------------------
1109   -- Replace_Element --
1110   ---------------------
1111
1112   procedure Replace_Element
1113     (Container : in out Set;
1114      Position  : Cursor;
1115      New_Item  : Element_Type)
1116   is
1117   begin
1118      if not Has_Element (Container, Position) then
1119         raise Constraint_Error with
1120           "Position cursor equals No_Element";
1121      end if;
1122
1123      pragma Assert (Vet (Container, Position),
1124                     "bad cursor in Replace_Element");
1125
1126      Replace_Element (Container, Position.Node, New_Item);
1127   end Replace_Element;
1128
1129   ----------------------
1130   -- Reserve_Capacity --
1131   ----------------------
1132
1133   procedure Reserve_Capacity
1134     (Container : in out Set;
1135      Capacity  : Count_Type)
1136   is
1137   begin
1138      if Capacity > Container.Capacity then
1139         raise Constraint_Error with "requested capacity is too large";
1140      end if;
1141   end Reserve_Capacity;
1142
1143   ------------------
1144   --  Set_Element --
1145   ------------------
1146
1147   procedure Set_Element (Node : in out Node_Type; Item : Element_Type) is
1148   begin
1149      Node.Element := Item;
1150   end Set_Element;
1151
1152   --------------
1153   -- Set_Next --
1154   --------------
1155
1156   procedure Set_Next (Node : in out Node_Type; Next : Count_Type) is
1157   begin
1158      Node.Next := Next;
1159   end Set_Next;
1160
1161   ------------------
1162   -- Strict_Equal --
1163   ------------------
1164
1165   function Strict_Equal (Left, Right : Set) return Boolean is
1166      CuL : Cursor := First (Left);
1167      CuR : Cursor := First (Right);
1168
1169   begin
1170      if Length (Left) /= Length (Right) then
1171         return False;
1172      end if;
1173
1174      while CuL.Node /= 0 or CuR.Node /= 0 loop
1175         if CuL.Node /= CuR.Node
1176           or else Left.Nodes (CuL.Node).Element /=
1177                   Right.Nodes (CuR.Node).Element
1178         then
1179            return False;
1180         end if;
1181
1182         CuL := Next (Left, CuL);
1183         CuR := Next (Right, CuR);
1184      end loop;
1185
1186      return True;
1187   end Strict_Equal;
1188
1189   --------------------------
1190   -- Symmetric_Difference --
1191   --------------------------
1192
1193   procedure Symmetric_Difference
1194     (Target : in out Set;
1195      Source : Set)
1196   is
1197      procedure Process (Source_Node : Count_Type);
1198      pragma Inline (Process);
1199
1200      procedure Iterate is new HT_Ops.Generic_Iteration (Process);
1201
1202      -------------
1203      -- Process --
1204      -------------
1205
1206      procedure Process (Source_Node : Count_Type) is
1207         N : Node_Type renames Source.Nodes (Source_Node);
1208         X : Count_Type;
1209         B : Boolean;
1210      begin
1211         if Is_In (Target, N) then
1212            Delete (Target, N.Element);
1213         else
1214            Insert (Target, N.Element, X, B);
1215            pragma Assert (B);
1216         end if;
1217      end Process;
1218
1219   --  Start of processing for Symmetric_Difference
1220
1221   begin
1222      if Target'Address = Source'Address then
1223         Clear (Target);
1224         return;
1225      end if;
1226
1227      if Length (Target) = 0 then
1228         Assign (Target, Source);
1229         return;
1230      end if;
1231
1232      Iterate (Source);
1233   end Symmetric_Difference;
1234
1235   function Symmetric_Difference (Left, Right : Set) return Set is
1236      C : Count_Type;
1237      H : Hash_Type;
1238
1239   begin
1240      if Left'Address = Right'Address then
1241         return Empty_Set;
1242      end if;
1243
1244      if Length (Right) = 0 then
1245         return Left.Copy;
1246      end if;
1247
1248      if Length (Left) = 0 then
1249         return Right.Copy;
1250      end if;
1251
1252      C := Length (Left) + Length (Right);
1253      H := Default_Modulus (C);
1254
1255      return S : Set (C, H) do
1256         Difference (Left, Right, S);
1257         Difference (Right, Left, S);
1258      end return;
1259   end Symmetric_Difference;
1260
1261   ------------
1262   -- To_Set --
1263   ------------
1264
1265   function To_Set (New_Item : Element_Type) return Set is
1266      X : Count_Type;
1267      B : Boolean;
1268
1269   begin
1270      return S : Set (Capacity => 1, Modulus => 1) do
1271         Insert (S, New_Item, X, B);
1272         pragma Assert (B);
1273      end return;
1274   end To_Set;
1275
1276   -----------
1277   -- Union --
1278   -----------
1279
1280   procedure Union
1281     (Target : in out Set;
1282      Source : Set)
1283   is
1284      procedure Process (Src_Node : Count_Type);
1285
1286      procedure Iterate is
1287        new HT_Ops.Generic_Iteration (Process);
1288
1289      -------------
1290      -- Process --
1291      -------------
1292
1293      procedure Process (Src_Node : Count_Type) is
1294         N : Node_Type renames Source.Nodes (Src_Node);
1295         E : Element_Type renames N.Element;
1296
1297         X : Count_Type;
1298         B : Boolean;
1299
1300      begin
1301         Insert (Target, E, X, B);
1302      end Process;
1303
1304      --  Start of processing for Union
1305
1306   begin
1307      if Target'Address = Source'Address then
1308         return;
1309      end if;
1310
1311      Iterate (Source);
1312   end Union;
1313
1314   function Union (Left, Right : Set) return Set is
1315      C : Count_Type;
1316      H : Hash_Type;
1317
1318   begin
1319      if Left'Address = Right'Address then
1320         return Left.Copy;
1321      end if;
1322
1323      if Length (Right) = 0 then
1324         return Left.Copy;
1325      end if;
1326
1327      if Length (Left) = 0 then
1328         return Right.Copy;
1329      end if;
1330
1331      C := Length (Left) + Length (Right);
1332      H := Default_Modulus (C);
1333      return S : Set (C, H) do
1334         Assign (Target => S, Source => Left);
1335         Union (Target => S, Source => Right);
1336      end return;
1337   end Union;
1338
1339   ---------
1340   -- Vet --
1341   ---------
1342
1343   function Vet (Container : Set; Position : Cursor) return Boolean is
1344   begin
1345      if Position.Node = 0 then
1346         return True;
1347      end if;
1348
1349      declare
1350         S : Set renames Container;
1351         N : Nodes_Type renames S.Nodes;
1352         X : Count_Type;
1353
1354      begin
1355         if S.Length = 0 then
1356            return False;
1357         end if;
1358
1359         if Position.Node > N'Last then
1360            return False;
1361         end if;
1362
1363         if N (Position.Node).Next = Position.Node then
1364            return False;
1365         end if;
1366
1367         X := S.Buckets (Element_Keys.Index (S, N (Position.Node).Element));
1368
1369         for J in 1 .. S.Length loop
1370            if X = Position.Node then
1371               return True;
1372            end if;
1373
1374            if X = 0 then
1375               return False;
1376            end if;
1377
1378            if X = N (X).Next then  --  to prevent unnecessary looping
1379               return False;
1380            end if;
1381
1382            X := N (X).Next;
1383         end loop;
1384
1385         return False;
1386      end;
1387   end Vet;
1388
1389   package body Generic_Keys with SPARK_Mode => Off is
1390
1391      -----------------------
1392      -- Local Subprograms --
1393      -----------------------
1394
1395      function Equivalent_Key_Node
1396        (Key  : Key_Type;
1397         Node : Node_Type) return Boolean;
1398      pragma Inline (Equivalent_Key_Node);
1399
1400      --------------------------
1401      -- Local Instantiations --
1402      --------------------------
1403
1404      package Key_Keys is
1405        new Hash_Tables.Generic_Bounded_Keys
1406          (HT_Types        => HT_Types,
1407           Next            => Next,
1408           Set_Next        => Set_Next,
1409           Key_Type        => Key_Type,
1410           Hash            => Hash,
1411           Equivalent_Keys => Equivalent_Key_Node);
1412
1413      --------------
1414      -- Contains --
1415      --------------
1416
1417      function Contains
1418        (Container : Set;
1419         Key       : Key_Type) return Boolean
1420      is
1421      begin
1422         return Find (Container, Key) /= No_Element;
1423      end Contains;
1424
1425      ------------
1426      -- Delete --
1427      ------------
1428
1429      procedure Delete
1430        (Container : in out Set;
1431         Key       : Key_Type)
1432      is
1433         X : Count_Type;
1434
1435      begin
1436         Key_Keys.Delete_Key_Sans_Free (Container, Key, X);
1437
1438         if X = 0 then
1439            raise Constraint_Error with "attempt to delete key not in set";
1440         end if;
1441
1442         Free (Container, X);
1443      end Delete;
1444
1445      -------------
1446      -- Element --
1447      -------------
1448
1449      function Element
1450        (Container : Set;
1451         Key       : Key_Type) return Element_Type
1452      is
1453         Node : constant Count_Type := Find (Container, Key).Node;
1454
1455      begin
1456         if Node = 0 then
1457            raise Constraint_Error with "key not in map";
1458         end if;
1459
1460         return Container.Nodes (Node).Element;
1461      end Element;
1462
1463      -------------------------
1464      -- Equivalent_Key_Node --
1465      -------------------------
1466
1467      function Equivalent_Key_Node
1468        (Key  : Key_Type;
1469         Node : Node_Type) return Boolean
1470      is
1471      begin
1472         return Equivalent_Keys (Key, Generic_Keys.Key (Node.Element));
1473      end Equivalent_Key_Node;
1474
1475      -------------
1476      -- Exclude --
1477      -------------
1478
1479      procedure Exclude
1480        (Container : in out Set;
1481         Key       : Key_Type)
1482      is
1483         X : Count_Type;
1484      begin
1485         Key_Keys.Delete_Key_Sans_Free (Container, Key, X);
1486         Free (Container, X);
1487      end Exclude;
1488
1489      ----------
1490      -- Find --
1491      ----------
1492
1493      function Find
1494        (Container : Set;
1495         Key       : Key_Type) return Cursor
1496      is
1497         Node : constant Count_Type := Key_Keys.Find (Container, Key);
1498      begin
1499         return (if Node = 0 then No_Element else (Node => Node));
1500      end Find;
1501
1502      ---------
1503      -- Key --
1504      ---------
1505
1506      function Key (Container : Set; Position : Cursor) return Key_Type is
1507      begin
1508         if not Has_Element (Container, Position) then
1509            raise Constraint_Error with
1510              "Position cursor has no element";
1511         end if;
1512
1513         pragma Assert
1514           (Vet (Container, Position), "bad cursor in function Key");
1515
1516         declare
1517            N  : Node_Type renames Container.Nodes (Position.Node);
1518         begin
1519            return Key (N.Element);
1520         end;
1521      end Key;
1522
1523      -------------
1524      -- Replace --
1525      -------------
1526
1527      procedure Replace
1528        (Container : in out Set;
1529         Key       : Key_Type;
1530         New_Item  : Element_Type)
1531      is
1532         Node : constant Count_Type := Key_Keys.Find (Container, Key);
1533
1534      begin
1535         if Node = 0 then
1536            raise Constraint_Error with
1537              "attempt to replace key not in set";
1538         end if;
1539
1540         Replace_Element (Container, Node, New_Item);
1541      end Replace;
1542
1543   end Generic_Keys;
1544
1545end Ada.Containers.Formal_Hashed_Sets;
1546