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1 706 jeremybenn
------------------------------------------------------------------------------
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--                                                                          --
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--                         GNAT LIBRARY COMPONENTS                          --
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--                                                                          --
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--   A D A . C O N T A I N E R S . F O R M A L _ O R D E R E D _ M A P S    --
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--                                                                          --
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--                                 S p e c                                  --
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--                                                                          --
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--          Copyright (C) 2004-2011, Free Software Foundation, Inc.         --
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--                                                                          --
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-- This specification is derived from the Ada Reference Manual for use with --
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-- GNAT. The copyright notice above, and the license provisions that follow --
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-- apply solely to the  contents of the part following the private keyword. --
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--                                                                          --
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-- GNAT is free software;  you can  redistribute it  and/or modify it under --
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-- terms of the  GNU General Public License as published  by the Free Soft- --
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-- ware  Foundation;  either version 3,  or (at your option) any later ver- --
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-- sion.  GNAT is distributed in the hope that it will be useful, but WITH- --
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-- OUT ANY WARRANTY;  without even the  implied warranty of MERCHANTABILITY --
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-- or FITNESS FOR A PARTICULAR PURPOSE.                                     --
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--                                                                          --
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-- As a special exception under Section 7 of GPL version 3, you are granted --
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-- additional permissions described in the GCC Runtime Library Exception,   --
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-- version 3.1, as published by the Free Software Foundation.               --
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--                                                                          --
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-- You should have received a copy of the GNU General Public License and    --
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-- a copy of the GCC Runtime Library Exception along with this program;     --
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-- see the files COPYING3 and COPYING.RUNTIME respectively.  If not, see    --
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-- <http://www.gnu.org/licenses/>.                                          --
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------------------------------------------------------------------------------
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--  This spec is derived from package Ada.Containers.Bounded_Ordered_Maps in
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--  the Ada 2012 RM. The modifications are to facilitate formal proofs by
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--  making it easier to express properties.
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--  The modifications are:
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--    A parameter for the container is added to every function reading the
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--    content of a container: Key, Element, Next, Query_Element, Previous,
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--    Has_Element, Iterate, Reverse_Iterate. This change is motivated by the
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--    need to have cursors which are valid on different containers (typically a
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--    container C and its previous version C'Old) for expressing properties,
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--    which is not possible if cursors encapsulate an access to the underlying
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--    container. The operators "<" and ">" that could not be modified that way
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--    have been removed.
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--    There are four new functions:
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--      function Strict_Equal (Left, Right : Map) return Boolean;
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--      function Overlap (Left, Right : Map) return Boolean;
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--      function Left  (Container : Map; Position : Cursor) return Map;
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--      function Right (Container : Map; Position : Cursor) return Map;
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--    See detailed specifications for these subprograms
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private with Ada.Containers.Red_Black_Trees;
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private with Ada.Streams;
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generic
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   type Key_Type is private;
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   type Element_Type is private;
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   with function "<" (Left, Right : Key_Type) return Boolean is <>;
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   with function "=" (Left, Right : Element_Type) return Boolean is <>;
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package Ada.Containers.Formal_Ordered_Maps is
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   pragma Pure;
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   function Equivalent_Keys (Left, Right : Key_Type) return Boolean;
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   type Map (Capacity : Count_Type) is tagged private;
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   pragma Preelaborable_Initialization (Map);
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   type Cursor is private;
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   pragma Preelaborable_Initialization (Cursor);
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   Empty_Map : constant Map;
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   No_Element : constant Cursor;
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   function "=" (Left, Right : Map) return Boolean;
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   function Length (Container : Map) return Count_Type;
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   function Is_Empty (Container : Map) return Boolean;
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   procedure Clear (Container : in out Map);
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   procedure Assign (Target : in out Map; Source : Map);
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   function Copy (Source : Map; Capacity : Count_Type := 0) return Map;
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   function Key (Container : Map; Position : Cursor) return Key_Type;
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   function Element (Container : Map; Position : Cursor) return Element_Type;
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   procedure Replace_Element
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     (Container : in out Map;
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      Position  : Cursor;
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      New_Item  : Element_Type);
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   procedure Query_Element
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     (Container : in out Map;
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      Position  : Cursor;
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      Process   : not null access
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                    procedure (Key : Key_Type; Element : Element_Type));
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   procedure Update_Element
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     (Container : in out Map;
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      Position  : Cursor;
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      Process   : not null access
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                    procedure (Key : Key_Type; Element : in out Element_Type));
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   procedure Move (Target : in out Map; Source : in out Map);
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   procedure Insert
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     (Container : in out Map;
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      Key       : Key_Type;
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      New_Item  : Element_Type;
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      Position  : out Cursor;
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      Inserted  : out Boolean);
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   procedure Insert
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     (Container : in out Map;
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      Key       : Key_Type;
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      Position  : out Cursor;
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      Inserted  : out Boolean);
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   procedure Insert
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     (Container : in out Map;
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      Key       : Key_Type;
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      New_Item  : Element_Type);
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   procedure Include
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     (Container : in out Map;
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      Key       : Key_Type;
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      New_Item  : Element_Type);
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   procedure Replace
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     (Container : in out Map;
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      Key       : Key_Type;
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      New_Item  : Element_Type);
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   procedure Exclude (Container : in out Map; Key : Key_Type);
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   procedure Delete (Container : in out Map; Key : Key_Type);
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   procedure Delete (Container : in out Map; Position : in out Cursor);
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   procedure Delete_First (Container : in out Map);
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   procedure Delete_Last (Container : in out Map);
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   function First (Container : Map) return Cursor;
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   function First_Element (Container : Map) return Element_Type;
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   function First_Key (Container : Map) return Key_Type;
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   function Last (Container : Map) return Cursor;
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   function Last_Element (Container : Map) return Element_Type;
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   function Last_Key (Container : Map) return Key_Type;
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   function Next (Container : Map; Position : Cursor) return Cursor;
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   procedure Next (Container : Map; Position : in out Cursor);
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   function Previous (Container : Map; Position : Cursor) return Cursor;
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   procedure Previous (Container : Map; Position : in out Cursor);
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   function Find (Container : Map; Key : Key_Type) return Cursor;
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   function Element (Container : Map; Key : Key_Type) return Element_Type;
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   function Floor (Container : Map; Key : Key_Type) return Cursor;
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   function Ceiling (Container : Map; Key : Key_Type) return Cursor;
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   function Contains (Container : Map; Key : Key_Type) return Boolean;
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   function Has_Element (Container : Map; Position : Cursor) return Boolean;
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   procedure Iterate
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     (Container : Map;
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      Process   :
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        not null access procedure (Container : Map; Position : Cursor));
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   procedure Reverse_Iterate
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     (Container : Map;
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      Process   : not null access
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                    procedure (Container : Map; Position : Cursor));
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   function Strict_Equal (Left, Right : Map) return Boolean;
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   --  Strict_Equal returns True if the containers are physically equal, i.e.
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   --  they are structurally equal (function "=" returns True) and that they
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   --  have the same set of cursors.
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   function Left  (Container : Map; Position : Cursor) return Map;
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   function Right (Container : Map; Position : Cursor) return Map;
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   --  Left returns a container containing all elements preceding Position
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   --  (excluded) in Container. Right returns a container containing all
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   --  elements following Position (included) in Container. These two new
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   --  functions can be used to express invariant properties in loops which
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   --  iterate over containers. Left returns the part of the container already
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   --  scanned and Right the part not scanned yet.
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   function Overlap (Left, Right : Map) return Boolean;
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   --  Overlap returns True if the containers have common keys
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private
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   pragma Inline (Next);
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   pragma Inline (Previous);
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   subtype Node_Access is Count_Type;
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   use Red_Black_Trees;
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   type Node_Type is record
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      Has_Element : Boolean := False;
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      Parent  : Node_Access := 0;
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      Left    : Node_Access := 0;
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      Right   : Node_Access := 0;
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      Color   : Red_Black_Trees.Color_Type := Red;
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      Key     : Key_Type;
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      Element : Element_Type;
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   end record;
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   package Tree_Types is
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     new Ada.Containers.Red_Black_Trees.Generic_Bounded_Tree_Types (Node_Type);
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   type Map (Capacity : Count_Type) is
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      new Tree_Types.Tree_Type (Capacity) with null record;
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   use Ada.Streams;
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   type Cursor is record
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      Node : Node_Access;
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   end record;
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   procedure Write
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     (Stream : not null access Root_Stream_Type'Class;
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      Item   : Cursor);
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   for Cursor'Write use Write;
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   procedure Read
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     (Stream : not null access Root_Stream_Type'Class;
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      Item   : out Cursor);
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   for Cursor'Read use Read;
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   No_Element : constant Cursor := (Node => 0);
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   procedure Write
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     (Stream    : not null access Root_Stream_Type'Class;
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      Container : Map);
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   for Map'Write use Write;
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   procedure Read
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     (Stream    : not null access Root_Stream_Type'Class;
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      Container : out Map);
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   for Map'Read use Read;
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   Empty_Map : constant Map := (Capacity => 0, others => <>);
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end Ada.Containers.Formal_Ordered_Maps;

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