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25<div class="section">
26<div class="titlepage"><div><div><h5 class="title">
27<a name="fusion.algorithm.iteration.functions.accumulate"></a><a class="link" href="accumulate.html" title="accumulate">accumulate</a>
28</h5></div></div></div>
29<h6>
30<a name="fusion.algorithm.iteration.functions.accumulate.h0"></a>
31            <span class="phrase"><a name="fusion.algorithm.iteration.functions.accumulate.description"></a></span><a class="link" href="accumulate.html#fusion.algorithm.iteration.functions.accumulate.description">Description</a>
32          </h6>
33<p>
34            For a sequence <code class="computeroutput"><span class="identifier">seq</span></code>, initial
35            state <code class="computeroutput"><span class="identifier">initial_state</span></code>,
36            and binary function object or function pointer <code class="computeroutput"><span class="identifier">f</span></code>,
37            <code class="literal">accumulate</code> returns the result of the repeated application
38            of binary <code class="computeroutput"><span class="identifier">f</span></code> to the result
39            of the previous <code class="computeroutput"><span class="identifier">f</span></code> invocation
40            (<code class="computeroutput"><span class="identifier">inital_state</span></code> if it is
41            the first call) and each element of <code class="computeroutput"><span class="identifier">seq</span></code>.
42          </p>
43<h6>
44<a name="fusion.algorithm.iteration.functions.accumulate.h1"></a>
45            <span class="phrase"><a name="fusion.algorithm.iteration.functions.accumulate.synopsis"></a></span><a class="link" href="accumulate.html#fusion.algorithm.iteration.functions.accumulate.synopsis">Synopsis</a>
46          </h6>
47<pre class="programlisting"><span class="keyword">template</span><span class="special">&lt;</span>
48    <span class="keyword">typename</span> <span class="identifier">Sequence</span><span class="special">,</span>
49    <span class="keyword">typename</span> <span class="identifier">State</span><span class="special">,</span>
50    <span class="keyword">typename</span> <span class="identifier">F</span>
51    <span class="special">&gt;</span>
52<span class="keyword">typename</span> <a class="link" href="../metafunctions/accumulate.html" title="accumulate"><code class="computeroutput"><span class="identifier">result_of</span><span class="special">::</span><span class="identifier">accumulate</span></code></a><span class="special">&lt;</span><span class="identifier">Sequence</span><span class="special">,</span> <span class="identifier">State</span> <span class="keyword">const</span><span class="special">,</span> <span class="identifier">F</span><span class="special">&gt;::</span><span class="identifier">type</span> accumulate<span class="special">(</span>
53    <span class="identifier">Sequence</span><span class="special">&amp;</span> <span class="identifier">seq</span><span class="special">,</span> <span class="identifier">State</span> <span class="keyword">const</span><span class="special">&amp;</span> <span class="identifier">initial_state</span><span class="special">,</span> <span class="identifier">F</span> <span class="identifier">f</span><span class="special">);</span>
54
55<span class="keyword">template</span><span class="special">&lt;</span>
56    <span class="keyword">typename</span> <span class="identifier">Sequence</span><span class="special">,</span>
57    <span class="keyword">typename</span> <span class="identifier">State</span><span class="special">,</span>
58    <span class="keyword">typename</span> <span class="identifier">F</span>
59    <span class="special">&gt;</span>
60<span class="keyword">typename</span> <a class="link" href="../metafunctions/accumulate.html" title="accumulate"><code class="computeroutput"><span class="identifier">result_of</span><span class="special">::</span><span class="identifier">accumulate</span></code></a><span class="special">&lt;</span><span class="identifier">Sequence</span> <span class="keyword">const</span><span class="special">,</span> <span class="identifier">State</span> <span class="keyword">const</span><span class="special">,</span> <span class="identifier">F</span><span class="special">&gt;::</span><span class="identifier">type</span> accumulate<span class="special">(</span>
61    <span class="identifier">Sequence</span> <span class="keyword">const</span><span class="special">&amp;</span> <span class="identifier">seq</span><span class="special">,</span> <span class="identifier">State</span> <span class="keyword">const</span><span class="special">&amp;</span> <span class="identifier">initial_state</span><span class="special">,</span> <span class="identifier">F</span> <span class="identifier">f</span><span class="special">);</span>
62
63<span class="keyword">template</span><span class="special">&lt;</span>
64    <span class="keyword">typename</span> <span class="identifier">Sequence</span><span class="special">,</span>
65    <span class="keyword">typename</span> <span class="identifier">State</span><span class="special">,</span>
66    <span class="keyword">typename</span> <span class="identifier">F</span>
67    <span class="special">&gt;</span>
68<span class="keyword">typename</span> <a class="link" href="../metafunctions/accumulate.html" title="accumulate"><code class="computeroutput"><span class="identifier">result_of</span><span class="special">::</span><span class="identifier">accumulate</span></code></a><span class="special">&lt;</span><span class="identifier">Sequence</span><span class="special">,</span> <span class="identifier">State</span><span class="special">,</span> <span class="identifier">F</span><span class="special">&gt;::</span><span class="identifier">type</span> accumulate<span class="special">(</span>
69    <span class="identifier">Sequence</span><span class="special">&amp;</span> <span class="identifier">seq</span><span class="special">,</span> <span class="identifier">State</span><span class="special">&amp;</span> <span class="identifier">initial_state</span><span class="special">,</span> <span class="identifier">F</span> <span class="identifier">f</span><span class="special">);</span>
70
71<span class="keyword">template</span><span class="special">&lt;</span>
72    <span class="keyword">typename</span> <span class="identifier">Sequence</span><span class="special">,</span>
73    <span class="keyword">typename</span> <span class="identifier">State</span><span class="special">,</span>
74    <span class="keyword">typename</span> <span class="identifier">F</span>
75    <span class="special">&gt;</span>
76<span class="keyword">typename</span> <a class="link" href="../metafunctions/accumulate.html" title="accumulate"><code class="computeroutput"><span class="identifier">result_of</span><span class="special">::</span><span class="identifier">accumulate</span></code></a><span class="special">&lt;</span><span class="identifier">Sequence</span> <span class="keyword">const</span><span class="special">,</span> <span class="identifier">State</span><span class="special">,</span> <span class="identifier">F</span><span class="special">&gt;::</span><span class="identifier">type</span> accumulate<span class="special">(</span>
77    <span class="identifier">Sequence</span> <span class="keyword">const</span><span class="special">&amp;</span> <span class="identifier">seq</span><span class="special">,</span> <span class="identifier">State</span><span class="special">&amp;</span> <span class="identifier">initial_state</span><span class="special">,</span> <span class="identifier">F</span> <span class="identifier">f</span><span class="special">);</span>
78</pre>
79<div class="table">
80<a name="fusion.algorithm.iteration.functions.accumulate.t0"></a><p class="title"><b>Table 1.44. Parameters</b></p>
81<div class="table-contents"><table class="table" summary="Parameters">
82<colgroup>
83<col>
84<col>
85<col>
86</colgroup>
87<thead><tr>
88<th>
89                    <p>
90                      Parameter
91                    </p>
92                  </th>
93<th>
94                    <p>
95                      Requirement
96                    </p>
97                  </th>
98<th>
99                    <p>
100                      Description
101                    </p>
102                  </th>
103</tr></thead>
104<tbody>
105<tr>
106<td>
107                    <p>
108                      <code class="computeroutput"><span class="identifier">seq</span></code>
109                    </p>
110                  </td>
111<td>
112                    <p>
113                      A model of <a class="link" href="../../../sequence/concepts/forward_sequence.html" title="Forward Sequence">Forward
114                      Sequence</a>
115                    </p>
116                  </td>
117<td>
118                    <p>
119                      Operation's argument
120                    </p>
121                  </td>
122</tr>
123<tr>
124<td>
125                    <p>
126                      <code class="computeroutput"><span class="identifier">initial_state</span></code>
127                    </p>
128                  </td>
129<td>
130                    <p>
131                      Any type
132                    </p>
133                  </td>
134<td>
135                    <p>
136                      Initial state
137                    </p>
138                  </td>
139</tr>
140<tr>
141<td>
142                    <p>
143                      <code class="computeroutput"><span class="identifier">f</span></code>
144                    </p>
145                  </td>
146<td>
147                    <p>
148                      <code class="computeroutput"><span class="identifier">f</span><span class="special">(</span><span class="identifier">s</span><span class="special">,</span>e<span class="special">)</span></code> with return type <code class="computeroutput"><a href="http://www.boost.org/libs/utility/utility.htm#result_of" target="_top"><code class="computeroutput"><span class="identifier">boost</span><span class="special">::</span><span class="identifier">result_of</span></code></a><span class="special">&lt;</span><span class="identifier">F</span><span class="special">(</span><span class="identifier">S</span><span class="special">,</span>E<span class="special">)&gt;::</span><span class="identifier">type</span></code> for current state <code class="computeroutput"><span class="identifier">s</span></code> of type <code class="computeroutput"><span class="identifier">S</span></code>,
149                      and for each element <code class="computeroutput"><span class="identifier">e</span></code>
150                      of type <code class="computeroutput"><span class="identifier">E</span></code> in
151                      <code class="computeroutput"><span class="identifier">seq</span></code>
152                    </p>
153                  </td>
154<td>
155                    <p>
156                      Operation's argument
157                    </p>
158                  </td>
159</tr>
160</tbody>
161</table></div>
162</div>
163<br class="table-break"><h6>
164<a name="fusion.algorithm.iteration.functions.accumulate.h2"></a>
165            <span class="phrase"><a name="fusion.algorithm.iteration.functions.accumulate.expression_semantics"></a></span><a class="link" href="accumulate.html#fusion.algorithm.iteration.functions.accumulate.expression_semantics">Expression
166            Semantics</a>
167          </h6>
168<pre class="programlisting">accumulate<span class="special">(</span><span class="identifier">seq</span><span class="special">,</span> <span class="identifier">initial_state</span><span class="special">,</span> <span class="identifier">f</span><span class="special">);</span>
169</pre>
170<p>
171            <span class="bold"><strong>Return type</strong></span>: Any type
172          </p>
173<p>
174            <span class="bold"><strong>Semantics</strong></span>: Equivalent to <code class="literal">f(...
175            f(f(initial_state,e1),e2) ...eN)</code> where <code class="literal">e1 ...eN</code>
176            are the consecutive elements of <code class="computeroutput"><span class="identifier">seq</span></code>.
177          </p>
178<h6>
179<a name="fusion.algorithm.iteration.functions.accumulate.h3"></a>
180            <span class="phrase"><a name="fusion.algorithm.iteration.functions.accumulate.complexity"></a></span><a class="link" href="accumulate.html#fusion.algorithm.iteration.functions.accumulate.complexity">Complexity</a>
181          </h6>
182<p>
183            Linear, exactly <code class="computeroutput"><a class="link" href="../../../sequence/intrinsic/metafunctions/size.html" title="size"><code class="computeroutput"><span class="identifier">result_of</span><span class="special">::</span><span class="identifier">size</span></code></a><span class="special">&lt;</span><span class="identifier">Sequence</span><span class="special">&gt;::</span><span class="identifier">value</span></code> applications of <code class="computeroutput"><span class="identifier">f</span></code>.
184          </p>
185<h6>
186<a name="fusion.algorithm.iteration.functions.accumulate.h4"></a>
187            <span class="phrase"><a name="fusion.algorithm.iteration.functions.accumulate.header"></a></span><a class="link" href="accumulate.html#fusion.algorithm.iteration.functions.accumulate.header">Header</a>
188          </h6>
189<pre class="programlisting"><span class="preprocessor">#include</span> <span class="special">&lt;</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">fusion</span><span class="special">/</span><span class="identifier">algorithm</span><span class="special">/</span><span class="identifier">iteration</span><span class="special">/</span>accumulate<span class="special">.</span><span class="identifier">hpp</span><span class="special">&gt;</span>
190<span class="preprocessor">#include</span> <span class="special">&lt;</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">fusion</span><span class="special">/</span><span class="identifier">include</span><span class="special">/</span>accumulate<span class="special">.</span><span class="identifier">hpp</span><span class="special">&gt;</span>
191</pre>
192<h6>
193<a name="fusion.algorithm.iteration.functions.accumulate.h5"></a>
194            <span class="phrase"><a name="fusion.algorithm.iteration.functions.accumulate.example"></a></span><a class="link" href="accumulate.html#fusion.algorithm.iteration.functions.accumulate.example">Example</a>
195          </h6>
196<pre class="programlisting"><span class="keyword">struct</span> <span class="identifier">make_string</span>
197<span class="special">{</span>
198    <span class="keyword">typedef</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">string</span> <span class="identifier">result_type</span><span class="special">;</span>
199
200    <span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> <span class="identifier">T</span><span class="special">&gt;</span>
201    <span class="identifier">std</span><span class="special">::</span><span class="identifier">string</span> <span class="keyword">operator</span><span class="special">()(</span><span class="keyword">const</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">string</span><span class="special">&amp;</span> <span class="identifier">str</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">T</span><span class="special">&amp;</span> <span class="identifier">t</span><span class="special">)</span> <span class="keyword">const</span>
202    <span class="special">{</span>
203        <span class="keyword">return</span> <span class="identifier">str</span> <span class="special">+</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">lexical_cast</span><span class="special">&lt;</span><span class="identifier">std</span><span class="special">::</span><span class="identifier">string</span><span class="special">&gt;(</span>t<span class="special">);</span>
204    <span class="special">}</span>
205<span class="special">};</span>
206<span class="special">...</span>
207<span class="keyword">const</span> <a class="link" href="../../../container/vector.html" title="vector"><code class="computeroutput"><span class="identifier">vector</span></code></a><span class="special">&lt;</span><span class="keyword">int</span><span class="special">,</span><span class="keyword">int</span><span class="special">&gt;</span> <span class="identifier">vec</span><span class="special">(</span><span class="number">1</span><span class="special">,</span><span class="number">2</span><span class="special">);</span>
208<span class="identifier">assert</span><span class="special">(</span>accumulate<span class="special">(</span><span class="identifier">vec</span><span class="special">,</span><span class="identifier">std</span><span class="special">::</span><span class="identifier">string</span><span class="special">(</span><span class="string">""</span><span class="special">),</span> <span class="identifier">make_string</span><span class="special">())</span> <span class="special">==</span> "12"<span class="special">);</span>
209</pre>
210</div>
211<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
212<td align="left"></td>
213<td align="right"><div class="copyright-footer">Copyright © 2001-2006, 2011, 2012 Joel de Guzman,
214      Dan Marsden, Tobias Schwinger<p>
215        Distributed under the Boost Software License, Version 1.0. (See accompanying
216        file LICENSE_1_0.txt or copy at <a href="http://www.boost.org/LICENSE_1_0.txt" target="_top">http://www.boost.org/LICENSE_1_0.txt</a>)
217      </p>
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