1 ------------------------------------------------------------------------------
3 -- GNAT RUN-TIME COMPONENTS --
5 -- G N A T . H E A P _ S O R T _ G --
9 -- Copyright (C) 1995-2005, 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 2, 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. See the GNU General Public License --
17 -- for more details. You should have received a copy of the GNU General --
18 -- Public License distributed with GNAT; see file COPYING. If not, write --
19 -- to the Free Software Foundation, 51 Franklin Street, Fifth Floor, --
20 -- Boston, MA 02110-1301, USA. --
22 -- As a special exception, if other files instantiate generics from this --
23 -- unit, or you link this unit with other files to produce an executable, --
24 -- this unit does not by itself cause the resulting executable to be --
25 -- covered by the GNU General Public License. This exception does not --
26 -- however invalidate any other reasons why the executable file might be --
27 -- covered by the GNU Public License. --
29 -- GNAT was originally developed by the GNAT team at New York University. --
30 -- Extensive contributions were provided by Ada Core Technologies Inc. --
32 ------------------------------------------------------------------------------
34 -- Heapsort generic package using formal procedures
36 -- This package provides a generic heapsort routine that can be used with
37 -- different types of data.
39 -- See also GNAT.Heap_Sort, a version that works with subprogram access
40 -- parameters, allowing code sharing. The generic version is slightly more
41 -- efficient but does not allow code sharing and has an interface that is
42 -- more awkward to use. The generic version is also Pure, while the access
43 -- subprogram version can only be Preelaborate.
45 -- There is also GNAT.Heap_Sort_A, which is now considered obsolete, but
46 -- was an older version working with subprogram parameters. This version
47 -- is retained for backwards compatibility with old versions of GNAT.
49 -- This heapsort algorithm uses approximately N*log(N) compares in the
50 -- worst case and is in place with no additional storage required. See
51 -- the body for exact details of the algorithm used.
54 -- The data to be sorted is assumed to be indexed by integer values from
55 -- 1 to N, where N is the number of items to be sorted. In addition, the
56 -- index value zero is used for a temporary location used during the sort.
58 with procedure Move
(From
: Natural; To
: Natural);
59 -- A procedure that moves the data item with index value From to the data
60 -- item with index value To (the old value in To being lost). An index
61 -- value of zero is used for moves from and to a single temporary location.
62 -- For best efficiency, this routine should be marked as inlined.
64 with function Lt
(Op1
, Op2
: Natural) return Boolean;
65 -- A function that compares two items and returns True if the item with
66 -- index Op1 is less than the item with Index Op2, and False if the Op1
67 -- item is greater than the Op2 item. If the two items are equal, then
68 -- it does not matter whether True or False is returned (it is slightly
69 -- more efficient to return False). For best efficiency, this routine
70 -- should be marked as inlined.
72 -- Note on use of temporary location
74 -- There are two ways of providing for the index value zero to represent
75 -- a temporary value. Either an extra location can be allocated at the
76 -- start of the array, or alternatively the Move and Lt subprograms can
77 -- test for the case of zero and treat it specially. In any case it is
78 -- desirable to specify the two subprograms as inlined and the tests for
79 -- zero will in this case be resolved at instantiation time.
81 package GNAT
.Heap_Sort_G
is
84 procedure Sort
(N
: Natural);
85 -- This procedures sorts items in the range from 1 to N into ascending
86 -- order making calls to Lt to do required comparisons, and Move to move
87 -- items around. Note that, as described above, both Move and Lt use a
88 -- single temporary location with index value zero. This sort is not
89 -- stable, i.e. the order of equal elements in the input is not preserved.