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--                                                                          --
--                         GNAT RUN-TIME COMPONENTS                         --
--                                                                          --
--                       G N A T . H E A P _ S O R T                        --
--                                                                          --
--                                 S p e c                                  --
--                                                                          --
--                     Copyright (C) 1995-2010, AdaCore                     --
--                                                                          --
-- 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- --
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-- sion.  GNAT is distributed in the hope that it will be useful, but WITH- --
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-- additional permissions described in the GCC Runtime Library Exception,   --
-- version 3.1, as published by the Free Software Foundation.               --
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-- You should have received a copy of the GNU General Public License and    --
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-- <http://www.gnu.org/licenses/>.                                          --
--                                                                          --
-- GNAT was originally developed  by the GNAT team at  New York University. --
-- Extensive contributions were provided by Ada Core Technologies Inc.      --
--                                                                          --
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--  Sort utility (Using Heapsort Algorithm)
 
--  This package provides a heapsort routine that works with access to
--  subprogram parameters, so that it can be used with different types with
--  shared sorting code.
 
--  This heapsort algorithm uses approximately N*log(N) compares in the
--  worst case and is in place with no additional storage required. See
--  the body for exact details of the algorithm used.
 
--  See also GNAT.Heap_Sort_G which is a generic version that will be faster
--  since the overhead of the indirect calls is avoided, at the expense of
--  generic code duplication and less convenient interface.
 
--  Note: GNAT.Heap_Sort replaces and obsoletes GNAT.Heap_Sort_A, which is
--  retained in the GNAT library for backwards compatibility.
 
package GNAT.Heap_Sort is
   pragma Pure;
 
   --  The data to be sorted is assumed to be indexed by integer values
   --  from 1 to N, where N is the number of items to be sorted.
 
   type Xchg_Procedure is access procedure (Op1, Op2 : Natural);
   --  A pointer to a procedure that exchanges the two data items whose
   --  index values are Op1 and Op2.
 
   type Lt_Function is access function (Op1, Op2 : Natural) return Boolean;
   --  A pointer to a function that compares two items and returns True if
   --  the item with index value Op1 is less than the item with Index value
   --  Op2, and False if the Op1 item is greater than the Op2 item. If
   --  the items are equal, then it does not matter if True or False is
   --  returned (but it is slightly more efficient to return False).
 
   procedure Sort (N : Natural; Xchg : Xchg_Procedure; Lt : Lt_Function);
   --  This procedures sorts items in the range from 1 to N into ascending
   --  order making calls to Lt to do required comparisons, and calls to
   --  Xchg to exchange items. The sort is not stable, that is the order
   --  of equal items in the input data set is not preserved.
 
end GNAT.Heap_Sort;