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26<a name="boost.sort.spreadsort.integer__idm45878543931680"></a><div class="titlepage"></div>
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28<h2><span class="refentrytitle">Function template integer_sort</span></h2>
29<p>boost::sort::spreadsort::integer_sort — Integer sort algorithm using random access iterators with just right-shift functor. (All variants fall back to <code class="computeroutput">boost::sort::pdqsort</code> if the data size is too small, &lt; <code class="computeroutput">detail::min_sort_size</code>). </p>
30</div>
31<h2 xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" class="refsynopsisdiv-title">Synopsis</h2>
32<div xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" class="refsynopsisdiv"><pre class="synopsis"><span class="comment">// In header: &lt;<a class="link" href="../../../header/boost/sort/spreadsort/integer_sort_hpp.html" title="Header &lt;boost/sort/spreadsort/integer_sort.hpp&gt;">boost/sort/spreadsort/integer_sort.hpp</a>&gt;
33
34</span>
35<span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> RandomAccessIter<span class="special">,</span> <span class="keyword">typename</span> Right_shift<span class="special">&gt;</span>
36  <span class="keyword">void</span> <span class="identifier">integer_sort</span><span class="special">(</span><span class="identifier">RandomAccessIter</span> first<span class="special">,</span> <span class="identifier">RandomAccessIter</span> last<span class="special">,</span>
37                    <span class="identifier">Right_shift</span> shift<span class="special">)</span><span class="special">;</span></pre></div>
38<div class="refsect1">
39<a name="idm45477845328160"></a><h2>Description</h2>
40<p><code class="computeroutput">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 class="computeroutput">std::sort</code> for large tests (&gt;=100kB).<br>
41 </p>
42<p><b>Performance: </b>Worst-case performance is <span class="emphasis"><em> O(N * (lg(range)/s + s)) </em></span>, so <code class="computeroutput">integer_sort</code> is asymptotically faster than pure comparison-based algorithms. <code class="computeroutput">s</code> is <code class="computeroutput">max_splits</code>, which defaults to 11, so its worst-case with default settings for 32-bit integers is <span class="emphasis"><em> O(N * ((32/11) </em></span> slow radix-based iterations fast comparison-based iterations).<br>
43<br>
44Some performance plots of runtime vs. n and log(range) are provided:<br>
45 <a href="../../../../../doc/graph/windows_integer_sort.htm" target="_top">windows_integer_sort</a><br>
46 <a href="../../../../../doc/graph/osx_integer_sort.htm" target="_top">osx_integer_sort</a></p>
47<p>
48
49
50
51
52
53
54</p>
55<div class="warning"><table border="0" summary="Warning">
56<tr>
57<td rowspan="2" align="center" valign="top" width="25"><img alt="[Warning]" src="../../../../../../../doc/src/images/warning.png"></td>
58<th align="left">Warning</th>
59</tr>
60<tr><td align="left" valign="top"><p>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. </p></td></tr>
61</table></div>
62<p>
63</p>
64<div class="warning"><table border="0" summary="Warning">
65<tr>
66<td rowspan="2" align="center" valign="top" width="25"><img alt="[Warning]" src="../../../../../../../doc/src/images/warning.png"></td>
67<th align="left">Warning</th>
68</tr>
69<tr><td align="left" valign="top"><p>Invalid arguments cause undefined behaviour. </p></td></tr>
70</table></div>
71<p>
72</p>
73<div class="note"><table border="0" summary="Note">
74<tr>
75<td rowspan="2" align="center" valign="top" width="25"><img alt="[Note]" src="../../../../../../../doc/src/images/note.png"></td>
76<th align="left">Note</th>
77</tr>
78<tr><td align="left" valign="top"><p><code class="computeroutput">spreadsort</code> function provides a wrapper that calls the fastest sorting algorithm available for a data type, enabling faster generic-programming.</p></td></tr>
79</table></div>
80<p>
81</p>
82<p>The lesser of <span class="emphasis"><em> O(N*log(N)) </em></span> comparisons and <span class="emphasis"><em> O(N*log(K/S + S)) </em></span>operations worst-case, where: </p>
83<p>
84
85</p>
86<p>* N is <code class="computeroutput">last</code> - <code class="computeroutput">first</code>, </p>
87<p>
88
89</p>
90<p>* K is the log of the range in bits (32 for 32-bit integers using their full range), </p>
91<p>
92
93</p>
94<p>* S is a constant called max_splits, defaulting to 11 (except for strings where it is the log of the character size). </p>
95<p>
96
97</p>
98<div class="variablelist"><table border="0" class="variablelist compact">
99<colgroup>
100<col align="left" valign="top">
101<col>
102</colgroup>
103<tbody>
104<tr>
105<td><p><span class="term">Parameters:</span></p></td>
106<td><div class="variablelist"><table border="0" class="variablelist compact">
107<colgroup>
108<col align="left" valign="top">
109<col>
110</colgroup>
111<tbody>
112<tr>
113<td><p><span class="term"><code class="computeroutput">first</code></span></p></td>
114<td><p>Iterator pointer to first element. </p></td>
115</tr>
116<tr>
117<td><p><span class="term"><code class="computeroutput">last</code></span></p></td>
118<td><p>Iterator pointing to one beyond the end of data. </p></td>
119</tr>
120<tr>
121<td><p><span class="term"><code class="computeroutput">shift</code></span></p></td>
122<td><p>A functor that returns the result of shifting the value_type right a specified number of bits.</p></td>
123</tr>
124</tbody>
125</table></div></td>
126</tr>
127<tr>
128<td><p><span class="term">Requires:</span></p></td>
129<td><p>[<code class="computeroutput">first</code>, <code class="computeroutput">last</code>) is a valid range. </p></td>
130</tr>
131<tr>
132<td><p><span class="term">Requires:</span></p></td>
133<td><p><code class="computeroutput">RandomAccessIter</code> <code class="computeroutput">value_type</code> is mutable. </p></td>
134</tr>
135<tr>
136<td><p><span class="term">Requires:</span></p></td>
137<td><p><code class="computeroutput">RandomAccessIter</code> <code class="computeroutput">value_type</code> is <a href="http://en.cppreference.com/w/cpp/concept/LessThanComparable" target="_top">LessThanComparable</a> </p></td>
138</tr>
139<tr>
140<td><p><span class="term">Postconditions:</span></p></td>
141<td><p>The elements in the range [<code class="computeroutput">first</code>, <code class="computeroutput">last</code>) are sorted in ascending order.</p></td>
142</tr>
143<tr>
144<td><p><span class="term">Throws:</span></p></td>
145<td>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.</td>
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153<td align="right"><div class="copyright-footer">Copyright © 2014-2017 Steven
154      Ross, Francisco Tapia, Orson Peters<p>
155        Distributed under the <a href="http://boost.org/LICENSE_1_0.txt" target="_top">Boost
156        Software License, Version 1.0</a>.
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