1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
|
------------------------------------------------------------------------------
-- --
-- GNAT RUN-TIME COMPONENTS --
-- --
-- G N A T . H E A P _ S O R T _ G --
-- --
-- S p e c --
-- --
-- Copyright (C) 1995-2006, 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 2, 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. See the GNU General Public License --
-- for more details. You should have received a copy of the GNU General --
-- Public License distributed with GNAT; see file COPYING. If not, write --
-- to the Free Software Foundation, 51 Franklin Street, Fifth Floor, --
-- Boston, MA 02110-1301, USA. --
-- --
-- As a special exception, if other files instantiate generics from this --
-- unit, or you link this unit with other files to produce an executable, --
-- this unit does not by itself cause the resulting executable to be --
-- covered by the GNU General Public License. This exception does not --
-- however invalidate any other reasons why the executable file might be --
-- covered by the GNU Public License. --
-- --
-- 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;
|