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- <p>Integer sort algorithm using random access iterators. All variants fall back to <code>std::sort</code> if the data is too small.<code>integer_sort</code> is a fast templated in-place hybrid radix/comparison algorithm, which in testing tends to be roughly 50% to 2X faster than <code>std::sort</code> for large tests (>=100kB).<br />
- Worst-case performance is <em> O(N * (lg(range)/s + s)) </em>, so <code>integer_sort</code> is asymptotically faster than pure comparison-based algorithms. <code>s</code> is <code>max_splits</code>, 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).<br />
- <br />
- Some performance plots of runtime vs. n and log(range) are provided:<br />
- <a href="../../../graph/windows_integer_sort.htm">windows_integer_sort</a> <br />
- <a href="../../../graph/osx_integer_sort.htm">osx_integer_sort</a></p>
- <dl class="tparams"><dt>Template Parameters</dt><dd>
- <table class="tparams">
- <tr><td class="paramname">RandomAccessIter</td><td><a href="http://www.cplusplus.com/reference/iterator/RandomAccessIterator/">Random access iterator</a> </td></tr>
- </table>
- </dd>
- </dl>
- <dl class="params"><dt>Parameters</dt><dd>
- <table class="params">
- <tr><td class="paramdir">[in]</td><td class="paramname">first</td><td>Iterator pointer to first element. </td></tr>
- <tr><td class="paramdir">[in]</td><td class="paramname">last</td><td>Iterator pointing to one beyond the end of data.</td></tr>
- </table>
- </dd>
- </dl>
- <dl class="section pre"><dt>Precondition</dt><dd>[<code>first</code>, <code>last</code>) is a valid range. </dd>
- <dd>
- <code>RandomAccessIter</code> <code>value_type</code> is mutable. </dd>
- <dd>
- <code>RandomAccessIter</code> <code>value_type</code> is <a href="http://en.cppreference.com/w/cpp/concept/LessThanComparable">LessThanComparable</a> </dd>
- <dd>
- <code>RandomAccessIter</code> <code>value_type</code> supports the <code>operator>></code>, which returns an integer-type right-shifted a specified number of bits. </dd></dl>
- <dl class="section post"><dt>Postcondition</dt><dd>The elements in the range [<code>first</code>, <code>last</code>) are sorted in ascending order.</dd></dl>
- <dl class="section return"><dt>Returns</dt><dd><code>void</code>.</dd></dl>
- <dl class="exception"><dt>Exceptions</dt><dd>
- <table class="exception">
- <tr><td class="paramname">Propagates</td><td>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.</td></tr>
- </table>
- </dd>
- </dl>
- <dl class="section warning"><dt>Warning</dt><dd>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. </dd>
- <dd>
- Invalid arguments cause undefined behaviour. </dd></dl>
- <dl class="section note"><dt>Note</dt><dd><code>spreadsort</code> function provides a wrapper that calls the fastest sorting algorithm available for a data type, enabling faster generic-programming.</dd></dl>
- <dl class="section remark"><dt>Remarks</dt><dd>The lesser of <em> O(N*log(N)) </em> comparisons and <em> O(N*log(K/S + S)) </em>operations worst-case, where: </dd>
- <dd>
- * N is <code>last</code> - <code>first</code>, </dd>
- <dd>
- * K is the log of the range in bits (32 for 32-bit integers using their full range), </dd>
- <dd>
- * S is a constant called max_splits, defaulting to 11 (except for strings where it is the log of the character size).</dd></dl>
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