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-------------------------------------------------------------------------------
--- --
--- GNAT RUN-TIME COMPONENTS --
--- --
--- G N A T . H E A P _ S O R T _ G --
--- --
--- 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- --
--- 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/>. --
--- --
--- GNAT was originally developed by the GNAT team at New York University. --
--- Extensive contributions were provided by Ada Core Technologies Inc. --
--- --
-------------------------------------------------------------------------------
-
--- Heapsort generic package using formal procedures
-
--- This package provides a generic heapsort routine that can be used with
--- different types of data.
-
--- See also GNAT.Heap_Sort, a version that works with subprogram access
--- parameters, allowing code sharing. The generic version is slightly more
--- efficient but does not allow code sharing and has an interface that is
--- more awkward to use.
-
--- There is also GNAT.Heap_Sort_A, which is now considered obsolete, but
--- was an older version working with subprogram parameters. This version
--- is retained for backwards compatibility with old versions of GNAT.
-
--- 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.
-
-generic
- -- 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. In addition, the
- -- index value zero is used for a temporary location used during the sort.
-
- with procedure Move (From : Natural; To : Natural);
- -- A procedure that moves the data item with index value From to the data
- -- item with index value To (the old value in To being lost). An index
- -- value of zero is used for moves from and to a single temporary location.
- -- For best efficiency, this routine should be marked as inlined.
-
- with function Lt (Op1, Op2 : Natural) return Boolean;
- -- A function that compares two items and returns True if the item with
- -- index Op1 is less than the item with Index Op2, and False if the Op1
- -- item is greater than the Op2 item. If the two items are equal, then
- -- it does not matter whether True or False is returned (it is slightly
- -- more efficient to return False). For best efficiency, this routine
- -- should be marked as inlined.
-
- -- Note on use of temporary location
-
- -- There are two ways of providing for the index value zero to represent
- -- a temporary value. Either an extra location can be allocated at the
- -- start of the array, or alternatively the Move and Lt subprograms can
- -- test for the case of zero and treat it specially. In any case it is
- -- desirable to specify the two subprograms as inlined and the tests for
- -- zero will in this case be resolved at instantiation time.
-
-package GNAT.Heap_Sort_G is
- pragma Pure;
-
- procedure Sort (N : Natural);
- -- This procedures sorts items in the range from 1 to N into ascending
- -- order making calls to Lt to do required comparisons, and Move to move
- -- items around. Note that, as described above, both Move and Lt use a
- -- single temporary location with index value zero. This sort is not
- -- stable, i.e. the order of equal elements in the input is not preserved.
-
-end GNAT.Heap_Sort_G;