1 ------------------------------------------------------------------------------
3 -- GNAT RUN-TIME COMPONENTS --
5 -- G N A T . H E A P _ S O R T _ G --
9 -- Copyright (C) 1995-2023, AdaCore --
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. --
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. --
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/>. --
27 -- GNAT was originally developed by the GNAT team at New York University. --
28 -- Extensive contributions were provided by Ada Core Technologies Inc. --
30 ------------------------------------------------------------------------------
32 -- Heapsort generic package using formal procedures
34 -- This package provides a generic heapsort routine that can be used with
35 -- different types of data.
37 -- See also GNAT.Heap_Sort, a version that works with subprogram access
38 -- parameters, allowing code sharing. The generic version is slightly more
39 -- efficient but does not allow code sharing and has an interface that is
40 -- more awkward to use.
42 -- There is also GNAT.Heap_Sort_A, which is now considered obsolete, but
43 -- was an older version working with subprogram parameters. This version
44 -- is retained for backwards compatibility with old versions of GNAT.
46 -- This heapsort algorithm uses approximately N*log(N) compares in the
47 -- worst case and is in place with no additional storage required. See
48 -- the body for exact details of the algorithm used.
51 -- The data to be sorted is assumed to be indexed by integer values from
52 -- 1 to N, where N is the number of items to be sorted. In addition, the
53 -- index value zero is used for a temporary location used during the sort.
55 with procedure Move
(From
: Natural; To
: Natural);
56 -- A procedure that moves the data item with index value From to the data
57 -- item with index value To (the old value in To being lost). An index
58 -- value of zero is used for moves from and to a single temporary location.
59 -- For best efficiency, this routine should be marked as inlined.
61 with function Lt
(Op1
, Op2
: Natural) return Boolean;
62 -- A function that compares two items and returns True if the item with
63 -- index Op1 is less than the item with Index Op2, and False if the Op1
64 -- item is greater than the Op2 item. If the two items are equal, then
65 -- it does not matter whether True or False is returned (it is slightly
66 -- more efficient to return False). For best efficiency, this routine
67 -- should be marked as inlined.
69 -- Note on use of temporary location
71 -- There are two ways of providing for the index value zero to represent
72 -- a temporary value. Either an extra location can be allocated at the
73 -- start of the array, or alternatively the Move and Lt subprograms can
74 -- test for the case of zero and treat it specially. In any case it is
75 -- desirable to specify the two subprograms as inlined and the tests for
76 -- zero will in this case be resolved at instantiation time.
78 package GNAT
.Heap_Sort_G
is
81 procedure Sort
(N
: Natural);
82 -- This procedures sorts items in the range from 1 to N into ascending
83 -- order making calls to Lt to do required comparisons, and Move to move
84 -- items around. Note that, as described above, both Move and Lt use a
85 -- single temporary location with index value zero. This sort is not
86 -- stable, i.e. the order of equal elements in the input is not preserved.