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1 [/
2 Copyright (c) 2008-2010 Joachim Faulhaber
3
4 Distributed under the Boost Software License, Version 1.0.
5 (See accompanying file LICENSE_1_0.txt or copy at
6 http://www.boost.org/LICENSE_1_0.txt)
7 ]
8
9
10 [/ //= Range ===================================================================]
11 [section Range]
12
13 [table
14 [[['*Range*]] [__ch_itvs__][__ch_itv_sets__][__ch_itv_maps__][condition] ]
15 [[`interval_type hull(const T&)`] [ ] [__O1__] [__O1__][] ]
16 [[`T hull(const T&, const T&)`] [__O1__] [ ] [ ][] ]
17 [[`domain_type lower(const T&)`] [__O1__] [__O1__] [__O1__][] ]
18 [[`domain_type upper(const T&)`] [__O1__] [__O1__] [__O1__][] ]
19 [[`domain_type first(const T&)`] [__O1__] [__O1__] [__O1__][`is_discrete<domain_type>::value`]]
20 [[`domain_type last(const T&)`] [__O1__] [__O1__] [__O1__][`is_discrete<domain_type>::value`]]
21 ]
22
23 The table above shows the availability of functions
24 `hull`, `lower`, `upper`, `first` and `last` on intervals
25 and interval containers that are all of ['*constant time complexity*].
26 Find the functions description and some simple properties below.
27
28 [table
29 [[['*Range*]] [Types] [Description] ]
30 [[`interval_type hull(const T&)`] [__S __M] [`hull(x)` returns the smallest interval that contains all intervals of an interval container `x`.] ]
31 [[`T hull(const T&, const T&)`] [__S __M] [`hull(i,j)` returns the smallest interval that contains intervals `i` abd 'j'.] ]
32 [[`domain_type lower(const T&)`] [__i __S __M][`lower(x)` returns the lower bound of an interval or interval container `x`.] ]
33 [[`domain_type upper(const T&)`] [__i __S __M][`upper(x)` returns the upper bound of an interval or interval container `x`.] ]
34 [[`domain_type first(const T&)`] [__i __S __M][`first(x)` returns the first element of an interval or interval container `x`.
35 `first(const T&)` is defined for a discrete `domain_type` only.] ]
36 [[`domain_type last(const T&)`] [__i __S __M][`last(x)` returns the last element of an interval or interval container `x`.
37 `last(const T&)` is defined for a discrete `domain_type` only.] ]
38 ]
39
40 ``
41 // for interval_containers x:
42 lower(hull(x)) == lower(x)
43 upper(hull(x)) == upper(x)
44 first(hull(x)) == first(x)
45 last(hull(x)) == last(x)
46 ``
47
48 ['*Back to section . . .*]
49 [table
50 []
51 [[[link function_synopsis_table ['*Function Synopsis*]] ]]
52 [[[link boost_icl.interface ['*Interface*]] ]]
53 ]
54
55 [endsect][/ Range]
56
57