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+------------------------------------------------------------------------------
+-- --
+-- GNAT LIBRARY COMPONENTS --
+-- --
+-- ADA.CONTAINERS.FORMAL_DOUBLY_LINKED_LISTS --
+-- --
+-- S p e c --
+-- --
+-- Copyright (C) 2004-2012, Free Software Foundation, Inc. --
+-- --
+-- This specification is derived from the Ada Reference Manual for use with --
+-- GNAT. The copyright notice above, and the license provisions that follow --
+-- apply solely to the contents of the part following the private keyword. --
+-- --
+-- GNAT is free software; you can redistribute it and/or modify it under --
+-- terms of the GNU General Public License as published by the Free Soft- --
+-- ware Foundation; either version 3, or (at your option) any later ver- --
+-- sion. GNAT is distributed in the hope that it will be useful, but WITH- --
+-- OUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY --
+-- or FITNESS FOR A PARTICULAR PURPOSE. --
+-- --
+-- As a special exception under Section 7 of GPL version 3, you are granted --
+-- additional permissions described in the GCC Runtime Library Exception, --
+-- version 3.1, as published by the Free Software Foundation. --
+-- --
+-- You should have received a copy of the GNU General Public License and --
+-- a copy of the GCC Runtime Library Exception along with this program; --
+-- see the files COPYING3 and COPYING.RUNTIME respectively. If not, see --
+-- <http://www.gnu.org/licenses/>. --
+------------------------------------------------------------------------------
+
+-- This spec is derived from Ada.Containers.Bounded_Doubly_Linked_Lists in the
+-- Ada 2012 RM. The modifications are to facilitate formal proofs by making it
+-- easier to express properties.
+
+-- The modifications are:
+
+-- A parameter for the container is added to every function reading the
+-- contents of a container: Next, Previous, Query_Element, Has_Element,
+-- Iterate, Reverse_Iterate, Element. This change is motivated by the need
+-- to have cursors which are valid on different containers (typically a
+-- container C and its previous version C'Old) for expressing properties,
+-- which is not possible if cursors encapsulate an access to the underlying
+-- container.
+
+-- There are three new functions:
+
+-- function Strict_Equal (Left, Right : List) return Boolean;
+-- function Left (Container : List; Position : Cursor) return List;
+-- function Right (Container : List; Position : Cursor) return List;
+
+-- See detailed specifications for these subprograms
+
+private with Ada.Streams;
+with Ada.Containers;
+with Ada.Iterator_Interfaces;
+
+generic
+ type Element_Type is private;
+
+ with function "=" (Left, Right : Element_Type)
+ return Boolean is <>;
+
+package Ada.Containers.Formal_Doubly_Linked_Lists is
+ pragma Pure;
+
+ type List (Capacity : Count_Type) is tagged private with
+ Constant_Indexing => Constant_Reference,
+ Default_Iterator => Iterate,
+ Iterator_Element => Element_Type;
+ -- pragma Preelaborable_Initialization (List);
+
+ type Cursor is private;
+ pragma Preelaborable_Initialization (Cursor);
+
+ Empty_List : constant List;
+
+ No_Element : constant Cursor;
+
+ function Not_No_Element (Position : Cursor) return Boolean;
+
+ package List_Iterator_Interfaces is new
+ Ada.Iterator_Interfaces (Cursor => Cursor, Has_Element => Not_No_Element);
+
+ function Iterate (Container : List; Start : Cursor)
+ return List_Iterator_Interfaces.Reversible_Iterator'Class;
+
+ function Iterate (Container : List)
+ return List_Iterator_Interfaces.Reversible_Iterator'Class;
+
+ function "=" (Left, Right : List) return Boolean;
+
+ function Length (Container : List) return Count_Type;
+
+ function Is_Empty (Container : List) return Boolean;
+
+ procedure Clear (Container : in out List);
+
+ procedure Assign (Target : in out List; Source : List);
+
+ function Copy (Source : List; Capacity : Count_Type := 0) return List;
+
+ function Element (Container : List; Position : Cursor) return Element_Type;
+
+ procedure Replace_Element
+ (Container : in out List;
+ Position : Cursor;
+ New_Item : Element_Type);
+
+ procedure Query_Element
+ (Container : List; Position : Cursor;
+ Process : not null access procedure (Element : Element_Type));
+
+ procedure Update_Element
+ (Container : in out List;
+ Position : Cursor;
+ Process : not null access procedure (Element : in out Element_Type));
+
+ procedure Move (Target : in out List; Source : in out List);
+
+ procedure Insert
+ (Container : in out List;
+ Before : Cursor;
+ New_Item : Element_Type;
+ Count : Count_Type := 1);
+
+ procedure Insert
+ (Container : in out List;
+ Before : Cursor;
+ New_Item : Element_Type;
+ Position : out Cursor;
+ Count : Count_Type := 1);
+
+ procedure Insert
+ (Container : in out List;
+ Before : Cursor;
+ Position : out Cursor;
+ Count : Count_Type := 1);
+
+ procedure Prepend
+ (Container : in out List;
+ New_Item : Element_Type;
+ Count : Count_Type := 1);
+
+ procedure Append
+ (Container : in out List;
+ New_Item : Element_Type;
+ Count : Count_Type := 1);
+
+ procedure Delete
+ (Container : in out List;
+ Position : in out Cursor;
+ Count : Count_Type := 1);
+
+ procedure Delete_First
+ (Container : in out List;
+ Count : Count_Type := 1);
+
+ procedure Delete_Last
+ (Container : in out List;
+ Count : Count_Type := 1);
+
+ procedure Reverse_Elements (Container : in out List);
+
+ procedure Swap
+ (Container : in out List;
+ I, J : Cursor);
+
+ procedure Swap_Links
+ (Container : in out List;
+ I, J : Cursor);
+
+ procedure Splice
+ (Target : in out List;
+ Before : Cursor;
+ Source : in out List);
+
+ procedure Splice
+ (Target : in out List;
+ Before : Cursor;
+ Source : in out List;
+ Position : in out Cursor);
+
+ procedure Splice
+ (Container : in out List;
+ Before : Cursor;
+ Position : Cursor);
+
+ function First (Container : List) return Cursor;
+
+ function First_Element (Container : List) return Element_Type;
+
+ function Last (Container : List) return Cursor;
+
+ function Last_Element (Container : List) return Element_Type;
+
+ function Next (Container : List; Position : Cursor) return Cursor;
+
+ procedure Next (Container : List; Position : in out Cursor);
+
+ function Previous (Container : List; Position : Cursor) return Cursor;
+
+ procedure Previous (Container : List; Position : in out Cursor);
+
+ function Find
+ (Container : List;
+ Item : Element_Type;
+ Position : Cursor := No_Element) return Cursor;
+
+ function Reverse_Find
+ (Container : List;
+ Item : Element_Type;
+ Position : Cursor := No_Element) return Cursor;
+
+ function Contains
+ (Container : List;
+ Item : Element_Type) return Boolean;
+
+ function Has_Element (Container : List; Position : Cursor) return Boolean;
+
+ procedure Iterate
+ (Container : List;
+ Process :
+ not null access procedure (Container : List; Position : Cursor));
+
+ procedure Reverse_Iterate
+ (Container : List;
+ Process :
+ not null access procedure (Container : List; Position : Cursor));
+
+ generic
+ with function "<" (Left, Right : Element_Type) return Boolean is <>;
+ package Generic_Sorting is
+
+ function Is_Sorted (Container : List) return Boolean;
+
+ procedure Sort (Container : in out List);
+
+ procedure Merge (Target, Source : in out List);
+
+ end Generic_Sorting;
+
+ type Constant_Reference_Type
+ (Element : not null access constant Element_Type) is private
+ with
+ Implicit_Dereference => Element;
+
+ function Constant_Reference
+ (Container : List; -- SHOULD BE ALIASED ???
+ Position : Cursor) return Constant_Reference_Type;
+
+ function Strict_Equal (Left, Right : List) return Boolean;
+ -- Strict_Equal returns True if the containers are physically equal, i.e.
+ -- they are structurally equal (function "=" returns True) and that they
+ -- have the same set of cursors.
+
+ function Left (Container : List; Position : Cursor) return List;
+ function Right (Container : List; Position : Cursor) return List;
+ -- Left returns a container containing all elements preceding Position
+ -- (excluded) in Container. Right returns a container containing all
+ -- elements following Position (included) in Container. These two new
+ -- functions can be used to express invariant properties in loops which
+ -- iterate over containers. Left returns the part of the container already
+ -- scanned and Right the part not scanned yet.
+
+private
+
+ type Node_Type is record
+ Prev : Count_Type'Base := -1;
+ Next : Count_Type;
+ Element : aliased Element_Type;
+ end record;
+
+ function "=" (L, R : Node_Type) return Boolean is abstract;
+
+ type Node_Array is array (Count_Type range <>) of Node_Type;
+ function "=" (L, R : Node_Array) return Boolean is abstract;
+
+ type List (Capacity : Count_Type) is tagged record
+ Nodes : Node_Array (1 .. Capacity) := (others => <>);
+ Free : Count_Type'Base := -1;
+ Busy : Natural := 0;
+ Lock : Natural := 0;
+ Length : Count_Type := 0;
+ First : Count_Type := 0;
+ Last : Count_Type := 0;
+ end record;
+
+ use Ada.Streams;
+
+ procedure Read
+ (Stream : not null access Root_Stream_Type'Class;
+ Item : out List);
+
+ for List'Read use Read;
+
+ procedure Write
+ (Stream : not null access Root_Stream_Type'Class;
+ Item : List);
+
+ for List'Write use Write;
+
+ type List_Access is access all List;
+ for List_Access'Storage_Size use 0;
+
+ type Cursor is record
+ Node : Count_Type := 0;
+ end record;
+
+ type Constant_Reference_Type
+ (Element : not null access constant Element_Type) is null record;
+
+ procedure Read
+ (Stream : not null access Root_Stream_Type'Class;
+ Item : out Cursor);
+
+ for Cursor'Read use Read;
+
+ procedure Write
+ (Stream : not null access Root_Stream_Type'Class;
+ Item : Cursor);
+
+ for Cursor'Write use Write;
+
+ Empty_List : constant List := (0, others => <>);
+
+ No_Element : constant Cursor := (Node => 0);
+
+end Ada.Containers.Formal_Doubly_Linked_Lists;