diff options
Diffstat (limited to 'boost/sort/spreadsort/integer_sort.hpp')
-rw-r--r-- | boost/sort/spreadsort/integer_sort.hpp | 500 |
1 files changed, 315 insertions, 185 deletions
diff --git a/boost/sort/spreadsort/integer_sort.hpp b/boost/sort/spreadsort/integer_sort.hpp index 0727ccd4a0..6bf3f683e1 100644 --- a/boost/sort/spreadsort/integer_sort.hpp +++ b/boost/sort/spreadsort/integer_sort.hpp @@ -1,185 +1,315 @@ -//Templated Spreadsort-based implementation of integer_sort
-
-// Copyright Steven J. Ross 2001 - 2014.
-// Distributed under the Boost Software License, Version 1.0.
-// (See accompanying file LICENSE_1_0.txt or copy at
-// http://www.boost.org/LICENSE_1_0.txt)
-
-// See http://www.boost.org/libs/sort/ for library home page.
-
-/*
-Some improvements suggested by:
-Phil Endecott and Frank Gennari
-
-Doxygen comments by Paul A. Bristow Jan 2015
-
-*/
-
-#ifndef BOOST_INTEGER_SORT_HPP
-#define BOOST_INTEGER_SORT_HPP
-#include <algorithm>
-#include <vector>
-#include <cstring>
-#include <limits>
-#include <boost/static_assert.hpp>
-#include <boost/sort/spreadsort/detail/constants.hpp>
-#include <boost/sort/spreadsort/detail/integer_sort.hpp>
-
-namespace boost {
-namespace sort {
-namespace spreadsort {
- //Top-level sorting call for integers.
-
-
-/*! \brief Integer sort algorithm using random access iterators.
- (All variants fall back to @c std::sort if the data size is too small, < @c detail::min_sort_size).
-
- \details @c integer_sort is a fast templated in-place hybrid radix/comparison algorithm,
-which in testing tends to be roughly 50% to 2X faster than @c std::sort for large tests (>=100kB).\n
-Worst-case performance is <em> O(N * (lg(range)/s + s)) </em>,
-so @c integer_sort is asymptotically faster
-than pure comparison-based algorithms. @c s is @c max_splits, which defaults to 11,
-so its worst-case with default settings for 32-bit integers is
-<em> O(N * ((32/11) </em> slow radix-based iterations fast comparison-based iterations).\n\n
-Some performance plots of runtime vs. n and log(range) are provided:\n
- <a href="../../doc/graph/windows_integer_sort.htm"> windows_integer_sort</a>
- \n
- <a href="../../doc/graph/osx_integer_sort.htm"> osx_integer_sort</a>
-
- \param[in] first Iterator pointer to first element.
- \param[in] last Iterator pointing to one beyond the end of data.
-
- \pre [@c first, @c last) is a valid range.
- \pre @c RandomAccessIter @c value_type is mutable.
- \pre @c RandomAccessIter @c value_type is <a href="http://en.cppreference.com/w/cpp/concept/LessThanComparable">LessThanComparable</a>
- \pre @c RandomAccessIter @c value_type supports the @c operator>>,
- which returns an integer-type right-shifted a specified number of bits.
- \post The elements in the range [@c first, @c last) are sorted in ascending order.
-
- \throws std::exception Propagates exceptions if any of the element comparisons, the element swaps (or moves),
- the right shift, subtraction of right-shifted elements, functors, or any operations on iterators throw.
-
- \warning Throwing an exception may cause data loss. This will also throw if a small vector resize throws, in which case there will be no data loss.
- \warning Invalid arguments cause undefined behaviour.
- \note @c spreadsort function provides a wrapper that calls the fastest sorting algorithm available for a data type,
- enabling faster generic-programming.
-
- \remark The lesser of <em> O(N*log(N)) </em> comparisons and <em> O(N*log(K/S + S)) </em>operations worst-case, where:
- \remark * N is @c last - @c first,
- \remark * K is the log of the range in bits (32 for 32-bit integers using their full range),
- \remark * S is a constant called max_splits, defaulting to 11 (except for strings where it is the log of the character size).
-
-*/
- template <class RandomAccessIter>
- inline void integer_sort(RandomAccessIter first, RandomAccessIter last)
- {
- // Don't sort if it's too small to optimize.
- if (last - first < detail::min_sort_size)
- std::sort(first, last);
- else
- detail::integer_sort(first, last, *first >> 0);
- }
-
-/*! \brief Integer sort algorithm using random access iterators with both right-shift and user-defined comparison operator.
- (All variants fall back to @c std::sort if the data size is too small, < @c detail::min_sort_size).
-
- \details @c integer_sort is a fast templated in-place hybrid radix/comparison algorithm,
-which in testing tends to be roughly 50% to 2X faster than @c std::sort for large tests (>=100kB).\n
-Worst-case performance is <em> O(N * (lg(range)/s + s)) </em>,
-so @c integer_sort is asymptotically faster
-than pure comparison-based algorithms. @c s is @c max_splits, which defaults to 11,
-so its worst-case with default settings for 32-bit integers is
-<em> O(N * ((32/11) </em> slow radix-based iterations fast comparison-based iterations).\n\n
-Some performance plots of runtime vs. n and log(range) are provided:\n
- <a href="../../doc/graph/windows_integer_sort.htm"> windows_integer_sort</a>
- \n
- <a href="../../doc/graph/osx_integer_sort.htm"> osx_integer_sort</a>
-
- \param[in] first Iterator pointer to first element.
- \param[in] last Iterator pointing to one beyond the end of data.
- \param[in] shift Functor that returns the result of shifting the value_type right a specified number of bits.
- \param[in] comp A binary functor that returns whether the first element passed to it should go before the second in order.
-
- \pre [@c first, @c last) is a valid range.
- \pre @c RandomAccessIter @c value_type is mutable.
- \post The elements in the range [@c first, @c last) are sorted in ascending order.
-
- \return @c void.
-
- \throws std::exception Propagates exceptions if any of the element comparisons, the element swaps (or moves),
- the right shift, subtraction of right-shifted elements, functors,
- or any operations on iterators throw.
-
- \warning Throwing an exception may cause data loss. This will also throw if a small vector resize throws, in which case there will be no data loss.
- \warning Invalid arguments cause undefined behaviour.
- \note @c spreadsort function provides a wrapper that calls the fastest sorting algorithm available for a data type,
- enabling faster generic-programming.
-
- \remark The lesser of <em> O(N*log(N)) </em> comparisons and <em> O(N*log(K/S + S)) </em>operations worst-case, where:
- \remark * N is @c last - @c first,
- \remark * K is the log of the range in bits (32 for 32-bit integers using their full range),
- \remark * S is a constant called max_splits, defaulting to 11 (except for strings where it is the log of the character size).
-*/
- template <class RandomAccessIter, class Right_shift, class Compare>
- inline void integer_sort(RandomAccessIter first, RandomAccessIter last,
- Right_shift shift, Compare comp) {
- if (last - first < detail::min_sort_size)
- std::sort(first, last, comp);
- else
- detail::integer_sort(first, last, shift(*first, 0), shift, comp);
- }
-
-/*! \brief Integer sort algorithm using random access iterators with just right-shift functor.
- (All variants fall back to @c std::sort if the data size is too small, < @c detail::min_sort_size).
-
- \details @c integer_sort is a fast templated in-place hybrid radix/comparison algorithm,
-which in testing tends to be roughly 50% to 2X faster than @c std::sort for large tests (>=100kB).\n
-
-\par Performance:
-Worst-case performance is <em> O(N * (lg(range)/s + s)) </em>,
-so @c integer_sort is asymptotically faster
-than pure comparison-based algorithms. @c s is @c max_splits, which defaults to 11,
-so its worst-case with default settings for 32-bit integers is
-<em> O(N * ((32/11) </em> slow radix-based iterations fast comparison-based iterations).\n\n
-Some performance plots of runtime vs. n and log(range) are provided:\n
- * <a href="../../doc/graph/windows_integer_sort.htm"> windows_integer_sort</a>\n
- * <a href="../../doc/graph/osx_integer_sort.htm"> osx_integer_sort</a>
-
- \param[in] first Iterator pointer to first element.
- \param[in] last Iterator pointing to one beyond the end of data.
- \param[in] shift A functor that returns the result of shifting the value_type right a specified number of bits.
-
- \pre [@c first, @c last) is a valid range.
- \pre @c RandomAccessIter @c value_type is mutable.
- \pre @c RandomAccessIter @c value_type is <a href="http://en.cppreference.com/w/cpp/concept/LessThanComparable">LessThanComparable</a>
- \post The elements in the range [@c first, @c last) are sorted in ascending order.
-
- \throws std::exception Propagates exceptions if any of the element comparisons, the element swaps (or moves),
- the right shift, subtraction of right-shifted elements, functors,
- or any operations on iterators throw.
-
- \warning Throwing an exception may cause data loss. This will also throw if a small vector resize throws, in which case there will be no data loss.
- \warning Invalid arguments cause undefined behaviour.
- \note @c spreadsort function provides a wrapper that calls the fastest sorting algorithm available for a data type,
- enabling faster generic-programming.
-
- \remark The lesser of <em> O(N*log(N)) </em> comparisons and <em> O(N*log(K/S + S)) </em>operations worst-case, where:
- \remark * N is @c last - @c first,
- \remark * K is the log of the range in bits (32 for 32-bit integers using their full range),
- \remark * S is a constant called max_splits, defaulting to 11 (except for strings where it is the log of the character size).
-
-*/
- template <class RandomAccessIter, class Right_shift>
- inline void integer_sort(RandomAccessIter first, RandomAccessIter last,
- Right_shift shift) {
- if (last - first < detail::min_sort_size)
- std::sort(first, last);
- else
- detail::integer_sort(first, last, shift(*first, 0), shift);
- }
-}
-}
-}
-
-#endif
-
+//Templated Spreadsort-based implementation of integer_sort + +// Copyright Steven J. Ross 2001 - 2014. +// Distributed under the Boost Software License, Version 1.0. +// (See accompanying file LICENSE_1_0.txt or copy at +// http://www.boost.org/LICENSE_1_0.txt) + +// See http://www.boost.org/libs/sort/ for library home page. + +/* +Some improvements suggested by: +Phil Endecott and Frank Gennari + +Doxygen comments by Paul A. Bristow Jan 2015 + +*/ + +#ifndef BOOST_INTEGER_SORT_HPP +#define BOOST_INTEGER_SORT_HPP +#include <algorithm> +#include <vector> +#include <cstring> +#include <limits> +#include <boost/static_assert.hpp> +#include <boost/sort/spreadsort/detail/constants.hpp> +#include <boost/sort/spreadsort/detail/integer_sort.hpp> +#include <boost/range/begin.hpp> +#include <boost/range/end.hpp> + +namespace boost { +namespace sort { +namespace spreadsort { + //Top-level sorting call for integers. + + +/*! \brief Integer sort algorithm using random access iterators. + (All variants fall back to @c std::sort if the data size is too small, < @c detail::min_sort_size). + + \details @c integer_sort is a fast templated in-place hybrid radix/comparison algorithm, +which in testing tends to be roughly 50% to 2X faster than @c std::sort for large tests (>=100kB).\n +Worst-case performance is <em> O(N * (lg(range)/s + s)) </em>, +so @c integer_sort is asymptotically faster +than pure comparison-based algorithms. @c s is @c max_splits, which defaults to 11, +so its worst-case with default settings for 32-bit integers is +<em> O(N * ((32/11) </em> slow radix-based iterations fast comparison-based iterations).\n\n +Some performance plots of runtime vs. n and log(range) are provided:\n + <a href="../../doc/graph/windows_integer_sort.htm"> windows_integer_sort</a> + \n + <a href="../../doc/graph/osx_integer_sort.htm"> osx_integer_sort</a> + + \param[in] first Iterator pointer to first element. + \param[in] last Iterator pointing to one beyond the end of data. + + \pre [@c first, @c last) is a valid range. + \pre @c RandomAccessIter @c value_type is mutable. + \pre @c RandomAccessIter @c value_type is <a href="http://en.cppreference.com/w/cpp/concept/LessThanComparable">LessThanComparable</a> + \pre @c RandomAccessIter @c value_type supports the @c operator>>, + which returns an integer-type right-shifted a specified number of bits. + \post The elements in the range [@c first, @c last) are sorted in ascending order. + + \throws std::exception Propagates exceptions if any of the element comparisons, the element swaps (or moves), + the right shift, subtraction of right-shifted elements, functors, or any operations on iterators throw. + + \warning Throwing an exception may cause data loss. This will also throw if a small vector resize throws, in which case there will be no data loss. + \warning Invalid arguments cause undefined behaviour. + \note @c spreadsort function provides a wrapper that calls the fastest sorting algorithm available for a data type, + enabling faster generic-programming. + + \remark The lesser of <em> O(N*log(N)) </em> comparisons and <em> O(N*log(K/S + S)) </em>operations worst-case, where: + \remark * N is @c last - @c first, + \remark * K is the log of the range in bits (32 for 32-bit integers using their full range), + \remark * S is a constant called max_splits, defaulting to 11 (except for strings where it is the log of the character size). + +*/ + template <class RandomAccessIter> + inline void integer_sort(RandomAccessIter first, RandomAccessIter last) + { + // Don't sort if it's too small to optimize. + if (last - first < detail::min_sort_size) + std::sort(first, last); + else + detail::integer_sort(first, last, *first >> 0); + } + +/*! \brief Integer sort algorithm using range. + (All variants fall back to @c std::sort if the data size is too small, < @c detail::min_sort_size). + + \details @c integer_sort is a fast templated in-place hybrid radix/comparison algorithm, +which in testing tends to be roughly 50% to 2X faster than @c std::sort for large tests (>=100kB).\n +Worst-case performance is <em> O(N * (lg(range)/s + s)) </em>, +so @c integer_sort is asymptotically faster +than pure comparison-based algorithms. @c s is @c max_splits, which defaults to 11, +so its worst-case with default settings for 32-bit integers is +<em> O(N * ((32/11) </em> slow radix-based iterations fast comparison-based iterations).\n\n +Some performance plots of runtime vs. n and log(range) are provided:\n + <a href="../../doc/graph/windows_integer_sort.htm"> windows_integer_sort</a> + \n + <a href="../../doc/graph/osx_integer_sort.htm"> osx_integer_sort</a> + + \param[in] range Range [first, last) for sorting. + + \pre [@c first, @c last) is a valid range. + \post The elements in the range [@c first, @c last) are sorted in ascending order. + + \throws std::exception Propagates exceptions if any of the element comparisons, the element swaps (or moves), + the right shift, subtraction of right-shifted elements, functors, or any operations on iterators throw. + + \warning Throwing an exception may cause data loss. This will also throw if a small vector resize throws, in which case there will be no data loss. + \warning Invalid arguments cause undefined behaviour. + \note @c spreadsort function provides a wrapper that calls the fastest sorting algorithm available for a data type, + enabling faster generic-programming. + + \remark The lesser of <em> O(N*log(N)) </em> comparisons and <em> O(N*log(K/S + S)) </em>operations worst-case, where: + \remark * N is @c last - @c first, + \remark * K is the log of the range in bits (32 for 32-bit integers using their full range), + \remark * S is a constant called max_splits, defaulting to 11 (except for strings where it is the log of the character size). + +*/ +template <class Range> +inline void integer_sort(Range& range) +{ + integer_sort(boost::begin(range), boost::end(range)); +} + +/*! \brief Integer sort algorithm using random access iterators with both right-shift and user-defined comparison operator. + (All variants fall back to @c std::sort if the data size is too small, < @c detail::min_sort_size). + + \details @c integer_sort is a fast templated in-place hybrid radix/comparison algorithm, +which in testing tends to be roughly 50% to 2X faster than @c std::sort for large tests (>=100kB).\n +Worst-case performance is <em> O(N * (lg(range)/s + s)) </em>, +so @c integer_sort is asymptotically faster +than pure comparison-based algorithms. @c s is @c max_splits, which defaults to 11, +so its worst-case with default settings for 32-bit integers is +<em> O(N * ((32/11) </em> slow radix-based iterations fast comparison-based iterations).\n\n +Some performance plots of runtime vs. n and log(range) are provided:\n + <a href="../../doc/graph/windows_integer_sort.htm"> windows_integer_sort</a> + \n + <a href="../../doc/graph/osx_integer_sort.htm"> osx_integer_sort</a> + + \param[in] first Iterator pointer to first element. + \param[in] last Iterator pointing to one beyond the end of data. + \param[in] shift Functor that returns the result of shifting the value_type right a specified number of bits. + \param[in] comp A binary functor that returns whether the first element passed to it should go before the second in order. + + \pre [@c first, @c last) is a valid range. + \pre @c RandomAccessIter @c value_type is mutable. + \post The elements in the range [@c first, @c last) are sorted in ascending order. + + \return @c void. + + \throws std::exception Propagates exceptions if any of the element comparisons, the element swaps (or moves), + the right shift, subtraction of right-shifted elements, functors, + or any operations on iterators throw. + + \warning Throwing an exception may cause data loss. This will also throw if a small vector resize throws, in which case there will be no data loss. + \warning Invalid arguments cause undefined behaviour. + \note @c spreadsort function provides a wrapper that calls the fastest sorting algorithm available for a data type, + enabling faster generic-programming. + + \remark The lesser of <em> O(N*log(N)) </em> comparisons and <em> O(N*log(K/S + S)) </em>operations worst-case, where: + \remark * N is @c last - @c first, + \remark * K is the log of the range in bits (32 for 32-bit integers using their full range), + \remark * S is a constant called max_splits, defaulting to 11 (except for strings where it is the log of the character size). +*/ + template <class RandomAccessIter, class Right_shift, class Compare> + inline void integer_sort(RandomAccessIter first, RandomAccessIter last, + Right_shift shift, Compare comp) { + if (last - first < detail::min_sort_size) + std::sort(first, last, comp); + else + detail::integer_sort(first, last, shift(*first, 0), shift, comp); + } + +/*! \brief Integer sort algorithm using range with both right-shift and user-defined comparison operator. + (All variants fall back to @c std::sort if the data size is too small, < @c detail::min_sort_size). + + \details @c integer_sort is a fast templated in-place hybrid radix/comparison algorithm, +which in testing tends to be roughly 50% to 2X faster than @c std::sort for large tests (>=100kB).\n +Worst-case performance is <em> O(N * (lg(range)/s + s)) </em>, +so @c integer_sort is asymptotically faster +than pure comparison-based algorithms. @c s is @c max_splits, which defaults to 11, +so its worst-case with default settings for 32-bit integers is +<em> O(N * ((32/11) </em> slow radix-based iterations fast comparison-based iterations).\n\n +Some performance plots of runtime vs. n and log(range) are provided:\n + <a href="../../doc/graph/windows_integer_sort.htm"> windows_integer_sort</a> + \n + <a href="../../doc/graph/osx_integer_sort.htm"> osx_integer_sort</a> + + \param[in] range Range [first, last) for sorting. + \param[in] shift Functor that returns the result of shifting the value_type right a specified number of bits. + \param[in] comp A binary functor that returns whether the first element passed to it should go before the second in order. + + \pre [@c first, @c last) is a valid range. + \post The elements in the range [@c first, @c last) are sorted in ascending order. + + \return @c void. + + \throws std::exception Propagates exceptions if any of the element comparisons, the element swaps (or moves), + the right shift, subtraction of right-shifted elements, functors, + or any operations on iterators throw. + + \warning Throwing an exception may cause data loss. This will also throw if a small vector resize throws, in which case there will be no data loss. + \warning Invalid arguments cause undefined behaviour. + \note @c spreadsort function provides a wrapper that calls the fastest sorting algorithm available for a data type, + enabling faster generic-programming. + + \remark The lesser of <em> O(N*log(N)) </em> comparisons and <em> O(N*log(K/S + S)) </em>operations worst-case, where: + \remark * N is @c last - @c first, + \remark * K is the log of the range in bits (32 for 32-bit integers using their full range), + \remark * S is a constant called max_splits, defaulting to 11 (except for strings where it is the log of the character size). +*/ +template <class Range, class Right_shift, class Compare> +inline void integer_sort(Range& range, Right_shift shift, Compare comp) +{ + integer_sort(boost::begin(range), boost::end(range), shift, comp); +} + +/*! \brief Integer sort algorithm using random access iterators with just right-shift functor. + (All variants fall back to @c std::sort if the data size is too small, < @c detail::min_sort_size). + + \details @c integer_sort is a fast templated in-place hybrid radix/comparison algorithm, +which in testing tends to be roughly 50% to 2X faster than @c std::sort for large tests (>=100kB).\n + +\par Performance: +Worst-case performance is <em> O(N * (lg(range)/s + s)) </em>, +so @c integer_sort is asymptotically faster +than pure comparison-based algorithms. @c s is @c max_splits, which defaults to 11, +so its worst-case with default settings for 32-bit integers is +<em> O(N * ((32/11) </em> slow radix-based iterations fast comparison-based iterations).\n\n +Some performance plots of runtime vs. n and log(range) are provided:\n + * <a href="../../doc/graph/windows_integer_sort.htm"> windows_integer_sort</a>\n + * <a href="../../doc/graph/osx_integer_sort.htm"> osx_integer_sort</a> + + \param[in] first Iterator pointer to first element. + \param[in] last Iterator pointing to one beyond the end of data. + \param[in] shift A functor that returns the result of shifting the value_type right a specified number of bits. + + \pre [@c first, @c last) is a valid range. + \pre @c RandomAccessIter @c value_type is mutable. + \pre @c RandomAccessIter @c value_type is <a href="http://en.cppreference.com/w/cpp/concept/LessThanComparable">LessThanComparable</a> + \post The elements in the range [@c first, @c last) are sorted in ascending order. + + \throws std::exception Propagates exceptions if any of the element comparisons, the element swaps (or moves), + the right shift, subtraction of right-shifted elements, functors, + or any operations on iterators throw. + + \warning Throwing an exception may cause data loss. This will also throw if a small vector resize throws, in which case there will be no data loss. + \warning Invalid arguments cause undefined behaviour. + \note @c spreadsort function provides a wrapper that calls the fastest sorting algorithm available for a data type, + enabling faster generic-programming. + + \remark The lesser of <em> O(N*log(N)) </em> comparisons and <em> O(N*log(K/S + S)) </em>operations worst-case, where: + \remark * N is @c last - @c first, + \remark * K is the log of the range in bits (32 for 32-bit integers using their full range), + \remark * S is a constant called max_splits, defaulting to 11 (except for strings where it is the log of the character size). + +*/ + template <class RandomAccessIter, class Right_shift> + inline void integer_sort(RandomAccessIter first, RandomAccessIter last, + Right_shift shift) { + if (last - first < detail::min_sort_size) + std::sort(first, last); + else + detail::integer_sort(first, last, shift(*first, 0), shift); + } + + +/*! \brief Integer sort algorithm using range with just right-shift functor. + (All variants fall back to @c std::sort if the data size is too small, < @c detail::min_sort_size). + + \details @c integer_sort is a fast templated in-place hybrid radix/comparison algorithm, +which in testing tends to be roughly 50% to 2X faster than @c std::sort for large tests (>=100kB).\n + +\par Performance: +Worst-case performance is <em> O(N * (lg(range)/s + s)) </em>, +so @c integer_sort is asymptotically faster +than pure comparison-based algorithms. @c s is @c max_splits, which defaults to 11, +so its worst-case with default settings for 32-bit integers is +<em> O(N * ((32/11) </em> slow radix-based iterations fast comparison-based iterations).\n\n +Some performance plots of runtime vs. n and log(range) are provided:\n + * <a href="../../doc/graph/windows_integer_sort.htm"> windows_integer_sort</a>\n + * <a href="../../doc/graph/osx_integer_sort.htm"> osx_integer_sort</a> + + \param[in] range Range [first, last) for sorting. + \param[in] shift A functor that returns the result of shifting the value_type right a specified number of bits. + + \pre [@c first, @c last) is a valid range. + \post The elements in the range [@c first, @c last) are sorted in ascending order. + + \throws std::exception Propagates exceptions if any of the element comparisons, the element swaps (or moves), + the right shift, subtraction of right-shifted elements, functors, + or any operations on iterators throw. + + \warning Throwing an exception may cause data loss. This will also throw if a small vector resize throws, in which case there will be no data loss. + \warning Invalid arguments cause undefined behaviour. + \note @c spreadsort function provides a wrapper that calls the fastest sorting algorithm available for a data type, + enabling faster generic-programming. + + \remark The lesser of <em> O(N*log(N)) </em> comparisons and <em> O(N*log(K/S + S)) </em>operations worst-case, where: + \remark * N is @c last - @c first, + \remark * K is the log of the range in bits (32 for 32-bit integers using their full range), + \remark * S is a constant called max_splits, defaulting to 11 (except for strings where it is the log of the character size). + +*/ +template <class Range, class Right_shift> +inline void integer_sort(Range& range, Right_shift shift) +{ + integer_sort(boost::begin(range), boost::end(range), shift); +} +} +} +} + +#endif + |