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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 |