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Neil Groves
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<html>
<head>
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>accumulate</title>
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</div>
<div class="section" title="accumulate">
<div class="titlepage"><div><div><h5 class="title">
<a name="range.reference.algorithms.range_numeric.accumulate"></a><a class="link" href="accumulate.html" title="accumulate">
accumulate</a>
</h5></div></div></div>
<a name="range.reference.algorithms.range_numeric.accumulate.prototype"></a><h6>
<a name="id3259323"></a>
<a class="link" href="accumulate.html#range.reference.algorithms.range_numeric.accumulate.prototype">Prototype</a>
</h6>
<p>
</p>
<pre class="programlisting"><span class="keyword">template</span><span class="special">&lt;</span>
<span class="keyword">class</span> <span class="identifier">SinglePassRange</span><span class="special">,</span>
<span class="keyword">class</span> <span class="identifier">Value</span>
<span class="special">&gt;</span>
<span class="identifier">Value</span> <span class="identifier">accumulate</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">SinglePassRange</span><span class="special">&amp;</span> <span class="identifier">source_rng</span><span class="special">,</span>
<span class="identifier">Value</span> <span class="identifier">init</span><span class="special">);</span>
<span class="keyword">template</span><span class="special">&lt;</span>
<span class="keyword">class</span> <span class="identifier">SinglePassRange</span><span class="special">,</span>
<span class="keyword">class</span> <span class="identifier">Value</span><span class="special">,</span>
<span class="keyword">class</span> <span class="identifier">BinaryOperation</span>
<span class="special">&gt;</span>
<span class="identifier">Value</span> <span class="identifier">accumulate</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">SinglePassRange</span><span class="special">&amp;</span> <span class="identifier">source_rng</span><span class="special">,</span>
<span class="identifier">Value</span> <span class="identifier">init</span><span class="special">,</span>
<span class="identifier">BinaryOperation</span> <span class="identifier">op</span><span class="special">);</span>
</pre>
<p>
</p>
<a name="range.reference.algorithms.range_numeric.accumulate.description"></a><h6>
<a name="id3259589"></a>
<a class="link" href="accumulate.html#range.reference.algorithms.range_numeric.accumulate.description">Description</a>
</h6>
<p>
<code class="computeroutput"><span class="identifier">accumulate</span></code> is a generalisation
of summation. It computes a binary operation (<code class="computeroutput"><span class="keyword">operator</span><span class="special">+</span></code> in the non-predicate version) of <code class="computeroutput"><span class="identifier">init</span></code> and all of the elements in <code class="computeroutput"><span class="identifier">rng</span></code>.
</p>
<p>
The return value is the resultant value of the above algorithm.
</p>
<a name="range.reference.algorithms.range_numeric.accumulate.definition"></a><h6>
<a name="id3259669"></a>
<a class="link" href="accumulate.html#range.reference.algorithms.range_numeric.accumulate.definition">Definition</a>
</h6>
<p>
Defined in the header file <code class="computeroutput"><span class="identifier">boost</span><span class="special">/</span><span class="identifier">range</span><span class="special">/</span><span class="identifier">numeric</span><span class="special">.</span><span class="identifier">hpp</span></code>
</p>
<a name="range.reference.algorithms.range_numeric.accumulate.requirements"></a><h6>
<a name="id3259733"></a>
<a class="link" href="accumulate.html#range.reference.algorithms.range_numeric.accumulate.requirements">Requirements</a>
</h6>
<a name="range.reference.algorithms.range_numeric.accumulate.for_the_first_version"></a><h6>
<a name="id3259756"></a>
<a class="link" href="accumulate.html#range.reference.algorithms.range_numeric.accumulate.for_the_first_version">For
the first version</a>
</h6>
<div class="orderedlist"><ol class="orderedlist" type="1">
<li class="listitem">
<code class="computeroutput"><span class="identifier">SinglePassRange</span></code> is
a model of the <a class="link" href="../../../concepts/single_pass_range.html" title="Single Pass Range">Single
Pass Range</a> Concept.
</li>
<li class="listitem">
<code class="computeroutput"><span class="identifier">Value</span></code> is a model of
the <code class="computeroutput"><span class="identifier">AssignableConcept</span></code>.
</li>
<li class="listitem">
An <code class="computeroutput"><span class="keyword">operator</span><span class="special">+</span></code>
is defined for a left-hand operand of type <code class="computeroutput"><span class="identifier">Value</span></code>
and a right-hand operance of the <code class="computeroutput"><span class="identifier">SinglePassRange</span></code>
value type.
</li>
<li class="listitem">
The return type of the above operator is convertible to <code class="computeroutput"><span class="identifier">Value</span></code>.
</li>
</ol></div>
<a name="range.reference.algorithms.range_numeric.accumulate.for_the_second_version"></a><h6>
<a name="id3259894"></a>
<a class="link" href="accumulate.html#range.reference.algorithms.range_numeric.accumulate.for_the_second_version">For
the second version</a>
</h6>
<div class="orderedlist"><ol class="orderedlist" type="1">
<li class="listitem">
<code class="computeroutput"><span class="identifier">SinglePassRange</span></code> is
a model of the <a class="link" href="../../../concepts/single_pass_range.html" title="Single Pass Range">Single
Pass Range</a> Concept.
</li>
<li class="listitem">
<code class="computeroutput"><span class="identifier">Value</span></code> is a model of
the <code class="computeroutput"><span class="identifier">AssignableConcept</span></code>.
</li>
<li class="listitem">
<code class="computeroutput"><span class="identifier">BinaryOperation</span></code> is
a model of the <code class="computeroutput"><span class="identifier">BinaryFunctionConcept</span></code>.
</li>
<li class="listitem">
<code class="computeroutput"><span class="identifier">Value</span></code> is convertible
to <code class="computeroutput"><span class="identifier">BinaryOperation</span></code>'s
first argument type.
</li>
<li class="listitem">
<code class="computeroutput"><span class="identifier">SinglePassRange</span></code>'s value
type is convertible to <code class="computeroutput"><span class="identifier">BinaryOperation</span></code>'s
second argument type.
</li>
<li class="listitem">
The return type of <code class="computeroutput"><span class="identifier">BinaryOperation</span></code>
is convertible to <code class="computeroutput"><span class="identifier">Value</span></code>.
</li>
</ol></div>
<a name="range.reference.algorithms.range_numeric.accumulate.complexity"></a><h6>
<a name="id3260078"></a>
<a class="link" href="accumulate.html#range.reference.algorithms.range_numeric.accumulate.complexity">Complexity</a>
</h6>
<p>
Linear. Exactly <code class="computeroutput"><span class="identifier">distance</span><span class="special">(</span><span class="identifier">source_rng</span><span class="special">)</span></code>.
</p>
</div>
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright &#169; 2003 -2010 Thorsten Ottosen, Neil Groves<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
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>)
</p>
</div></td>
</tr></table>
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</div>
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<html>
<head>
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>adjacent_difference</title>
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<meta name="generator" content="DocBook XSL Stylesheets V1.75.1">
<link rel="home" href="../../../../index.html" title="Chapter&#160;1.&#160;Range 2.0">
<link rel="up" href="../range_numeric.html" title="Numeric algorithms">
<link rel="prev" href="accumulate.html" title="accumulate">
<link rel="next" href="inner_product.html" title="inner_product">
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<table cellpadding="2" width="100%"><tr>
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<hr>
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<a accesskey="p" href="accumulate.html"><img src="../../../../../../../../doc/html/images/prev.png" alt="Prev"></a><a accesskey="u" href="../range_numeric.html"><img src="../../../../../../../../doc/html/images/up.png" alt="Up"></a><a accesskey="h" href="../../../../index.html"><img src="../../../../../../../../doc/html/images/home.png" alt="Home"></a><a accesskey="n" href="inner_product.html"><img src="../../../../../../../../doc/html/images/next.png" alt="Next"></a>
</div>
<div class="section" title="adjacent_difference">
<div class="titlepage"><div><div><h5 class="title">
<a name="range.reference.algorithms.range_numeric.adjacent_difference"></a><a class="link" href="adjacent_difference.html" title="adjacent_difference">
adjacent_difference</a>
</h5></div></div></div>
<a name="range.reference.algorithms.range_numeric.adjacent_difference.prototype"></a><h6>
<a name="id3260149"></a>
<a class="link" href="adjacent_difference.html#range.reference.algorithms.range_numeric.adjacent_difference.prototype">Prototype</a>
</h6>
<p>
</p>
<pre class="programlisting"><span class="keyword">template</span><span class="special">&lt;</span>
<span class="keyword">class</span> <span class="identifier">SinglePassRange</span><span class="special">,</span>
<span class="keyword">class</span> <span class="identifier">OutputIterator</span>
<span class="special">&gt;</span>
<span class="identifier">OutputIterator</span> <span class="identifier">adjacent_difference</span><span class="special">(</span>
<span class="keyword">const</span> <span class="identifier">SinglePassRange</span><span class="special">&amp;</span> <span class="identifier">source_rng</span><span class="special">,</span>
<span class="identifier">OutputIterator</span> <span class="identifier">out_it</span><span class="special">);</span>
<span class="keyword">template</span><span class="special">&lt;</span>
<span class="keyword">class</span> <span class="identifier">SinglePassRange</span><span class="special">,</span>
<span class="keyword">class</span> <span class="identifier">OutputIterator</span><span class="special">,</span>
<span class="keyword">class</span> <span class="identifier">BinaryOperation</span>
<span class="special">&gt;</span>
<span class="identifier">OutputIterator</span> <span class="identifier">adjacent_difference</span><span class="special">(</span>
<span class="keyword">const</span> <span class="identifier">SinglePassRange</span><span class="special">&amp;</span> <span class="identifier">source_rng</span><span class="special">,</span>
<span class="identifier">OutputIterator</span> <span class="identifier">out_it</span><span class="special">,</span>
<span class="identifier">BinaryOperation</span> <span class="identifier">op</span><span class="special">);</span>
</pre>
<p>
</p>
<a name="range.reference.algorithms.range_numeric.adjacent_difference.description"></a><h6>
<a name="id3260417"></a>
<a class="link" href="adjacent_difference.html#range.reference.algorithms.range_numeric.adjacent_difference.description">Description</a>
</h6>
<p>
<code class="computeroutput"><span class="identifier">adjacent_difference</span></code> calculates
the differences of adjacent_elements in <code class="computeroutput"><span class="identifier">rng</span></code>.
</p>
<p>
The first version of <code class="computeroutput"><span class="identifier">adjacent_difference</span></code>
uses <code class="computeroutput"><span class="keyword">operator</span><span class="special">-()</span></code>
to calculate the differences. The second version uses <code class="computeroutput"><span class="identifier">BinaryOperation</span></code>
instead of <code class="computeroutput"><span class="keyword">operator</span><span class="special">-()</span></code>.
</p>
<a name="range.reference.algorithms.range_numeric.adjacent_difference.definition"></a><h6>
<a name="id3260522"></a>
<a class="link" href="adjacent_difference.html#range.reference.algorithms.range_numeric.adjacent_difference.definition">Definition</a>
</h6>
<p>
Defined in the header file <code class="computeroutput"><span class="identifier">boost</span><span class="special">/</span><span class="identifier">range</span><span class="special">/</span><span class="identifier">numeric</span><span class="special">.</span><span class="identifier">hpp</span></code>
</p>
<a name="range.reference.algorithms.range_numeric.adjacent_difference.requirements"></a><h6>
<a name="id3260587"></a>
<a class="link" href="adjacent_difference.html#range.reference.algorithms.range_numeric.adjacent_difference.requirements">Requirements</a>
</h6>
<a name="range.reference.algorithms.range_numeric.adjacent_difference.for_the_first_version"></a><h6>
<a name="id3260611"></a>
<a class="link" href="adjacent_difference.html#range.reference.algorithms.range_numeric.adjacent_difference.for_the_first_version">For
the first version</a>
</h6>
<div class="orderedlist"><ol class="orderedlist" type="1">
<li class="listitem">
<code class="computeroutput"><span class="identifier">SinglePassRange</span></code> is
a model of the <a class="link" href="../../../concepts/single_pass_range.html" title="Single Pass Range">Single
Pass Range</a> Concept.
</li>
<li class="listitem">
<code class="computeroutput"><span class="identifier">OutputIterator</span></code> is a
model of the <code class="computeroutput"><span class="identifier">OutputIteratorConcept</span></code>.
</li>
<li class="listitem">
If <code class="computeroutput"><span class="identifier">x</span></code> and <code class="computeroutput"><span class="identifier">y</span></code> are objects of <code class="computeroutput"><span class="identifier">SinglePassRange</span></code>'s
value type, then <code class="computeroutput"><span class="identifier">x</span> <span class="special">-</span> <span class="identifier">y</span></code>
is defined.
</li>
<li class="listitem">
The value type of <code class="computeroutput"><span class="identifier">SinglePassRange</span></code>
is convertible to a type in <code class="computeroutput"><span class="identifier">OutputIterator</span></code>'s
set of value types.
</li>
<li class="listitem">
The return type of <code class="computeroutput"><span class="identifier">x</span> <span class="special">-</span> <span class="identifier">y</span></code>
is convertible to a type in <code class="computeroutput"><span class="identifier">OutputIterator</span></code>'s
set of value types.
</li>
</ol></div>
<a name="range.reference.algorithms.range_numeric.adjacent_difference.for_the_second_version"></a><h6>
<a name="id3260814"></a>
<a class="link" href="adjacent_difference.html#range.reference.algorithms.range_numeric.adjacent_difference.for_the_second_version">For
the second version</a>
</h6>
<div class="orderedlist"><ol class="orderedlist" type="1">
<li class="listitem">
<code class="computeroutput"><span class="identifier">SinglePassRange</span></code> is
a model of the <a class="link" href="../../../concepts/single_pass_range.html" title="Single Pass Range">Single
Pass Range</a> Concept.
</li>
<li class="listitem">
<code class="computeroutput"><span class="identifier">OutputIterator</span></code> is a
model of the <code class="computeroutput"><span class="identifier">OutputIteratorConcept</span></code>.
</li>
<li class="listitem">
<code class="computeroutput"><span class="identifier">BinaryOperation</span></code> is
a model of the <code class="computeroutput"><span class="identifier">BinaryFunctionConcept</span></code>.
</li>
<li class="listitem">
The value type of <code class="computeroutput"><span class="identifier">SinglePassRange</span></code>
is convertible to <code class="computeroutput"><span class="identifier">BinaryOperation</span></code>'s
first and second argument types.
</li>
<li class="listitem">
The value type of <code class="computeroutput"><span class="identifier">SinglePassRange</span></code>
is convertible to a type in <code class="computeroutput"><span class="identifier">OutputIterator</span></code>'s
set of value types.
</li>
<li class="listitem">
The result type of <code class="computeroutput"><span class="identifier">BinaryOperation</span></code>
is convertible to a type in <code class="computeroutput"><span class="identifier">OutputIterator</span></code>'s
set of value types.
</li>
</ol></div>
<a name="range.reference.algorithms.range_numeric.adjacent_difference.precondition_"></a><h6>
<a name="id3261002"></a>
<a class="link" href="adjacent_difference.html#range.reference.algorithms.range_numeric.adjacent_difference.precondition_">Precondition:</a>
</h6>
<p>
<code class="computeroutput"><span class="special">[</span><span class="identifier">result</span><span class="special">,</span> <span class="identifier">result</span>
<span class="special">+</span> <span class="identifier">distance</span><span class="special">(</span><span class="identifier">rng</span><span class="special">))</span></code> is a valid range.
</p>
<a name="range.reference.algorithms.range_numeric.adjacent_difference.complexity"></a><h6>
<a name="id3261079"></a>
<a class="link" href="adjacent_difference.html#range.reference.algorithms.range_numeric.adjacent_difference.complexity">Complexity</a>
</h6>
<p>
Linear. If <code class="computeroutput"><span class="identifier">empty</span><span class="special">(</span><span class="identifier">rng</span><span class="special">)</span></code>
then zero applications, otherwise <code class="computeroutput"><span class="identifier">distance</span><span class="special">(</span><span class="identifier">rng</span><span class="special">)</span> <span class="special">-</span> <span class="number">1</span></code>
applications are performed.
</p>
</div>
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright &#169; 2003 -2010 Thorsten Ottosen, Neil Groves<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
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>)
</p>
</div></td>
</tr></table>
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<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>inner_product</title>
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<meta name="generator" content="DocBook XSL Stylesheets V1.75.1">
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<div class="section" title="inner_product">
<div class="titlepage"><div><div><h5 class="title">
<a name="range.reference.algorithms.range_numeric.inner_product"></a><a class="link" href="inner_product.html" title="inner_product">
inner_product</a>
</h5></div></div></div>
<a name="range.reference.algorithms.range_numeric.inner_product.prototype"></a><h6>
<a name="id3261186"></a>
<a class="link" href="inner_product.html#range.reference.algorithms.range_numeric.inner_product.prototype">Prototype</a>
</h6>
<p>
</p>
<pre class="programlisting"><span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">class</span> <span class="identifier">SinglePassRange1</span><span class="special">,</span>
<span class="keyword">class</span> <span class="identifier">SinglePassRange2</span><span class="special">,</span>
<span class="keyword">class</span> <span class="identifier">Value</span><span class="special">&gt;</span>
<span class="identifier">Value</span> <span class="identifier">inner_product</span><span class="special">(</span> <span class="keyword">const</span> <span class="identifier">SinglePassRange1</span><span class="special">&amp;</span> <span class="identifier">rng1</span><span class="special">,</span>
<span class="keyword">const</span> <span class="identifier">SinglePassRange2</span><span class="special">&amp;</span> <span class="identifier">rng2</span><span class="special">,</span>
<span class="identifier">Value</span> <span class="identifier">init</span><span class="special">);</span>
<span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">class</span> <span class="identifier">SinglePassRange1</span><span class="special">,</span>
<span class="keyword">class</span> <span class="identifier">SinglePassRange2</span><span class="special">,</span>
<span class="keyword">class</span> <span class="identifier">Value</span><span class="special">,</span>
<span class="keyword">class</span> <span class="identifier">BinaryOperation1</span><span class="special">,</span>
<span class="keyword">class</span> <span class="identifier">BinaryOperation2</span><span class="special">&gt;</span>
<span class="identifier">Value</span> <span class="identifier">inner_product</span><span class="special">(</span> <span class="keyword">const</span> <span class="identifier">SinglePassRange1</span><span class="special">&amp;</span> <span class="identifier">rng1</span><span class="special">,</span>
<span class="keyword">const</span> <span class="identifier">SinglePassRange2</span><span class="special">&amp;</span> <span class="identifier">rng2</span><span class="special">,</span>
<span class="identifier">Value</span> <span class="identifier">init</span><span class="special">,</span>
<span class="identifier">BinaryOperation1</span> <span class="identifier">op1</span><span class="special">,</span>
</pre>
<p>
</p>
<a name="range.reference.algorithms.range_numeric.inner_product.description"></a><h6>
<a name="id3261550"></a>
<a class="link" href="inner_product.html#range.reference.algorithms.range_numeric.inner_product.description">Description</a>
</h6>
<p>
<code class="computeroutput"><span class="identifier">inner_product</span></code> calculates
a generalised inner product of the range <code class="computeroutput"><span class="identifier">rng1</span></code>
and <code class="computeroutput"><span class="identifier">rng2</span></code>.
</p>
<p>
For further information on the <code class="computeroutput"><span class="identifier">inner_product</span></code>
algorithm please see <a href="http://www.sgi.com/tech/stl/inner_product.html" target="_top">inner_product</a>.
</p>
<a name="range.reference.algorithms.range_numeric.inner_product.definition"></a><h6>
<a name="id3261632"></a>
<a class="link" href="inner_product.html#range.reference.algorithms.range_numeric.inner_product.definition">Definition</a>
</h6>
<p>
Defined in the header file <code class="computeroutput"><span class="identifier">boost</span><span class="special">/</span><span class="identifier">range</span><span class="special">/</span><span class="identifier">numeric</span><span class="special">.</span><span class="identifier">hpp</span></code>
</p>
<a name="range.reference.algorithms.range_numeric.inner_product.requirements"></a><h6>
<a name="id3261697"></a>
<a class="link" href="inner_product.html#range.reference.algorithms.range_numeric.inner_product.requirements">Requirements</a>
</h6>
<a name="range.reference.algorithms.range_numeric.inner_product.for_the_first_version"></a><h6>
<a name="id3261721"></a>
<a class="link" href="inner_product.html#range.reference.algorithms.range_numeric.inner_product.for_the_first_version">For
the first version</a>
</h6>
<div class="orderedlist"><ol class="orderedlist" type="1">
<li class="listitem">
<code class="computeroutput"><span class="identifier">SinglePassRange1</span></code> is
a model of the <a class="link" href="../../../concepts/single_pass_range.html" title="Single Pass Range">Single
Pass Range</a> Concept.
</li>
<li class="listitem">
<code class="computeroutput"><span class="identifier">SinglePassRange2</span></code> is
a model of the <a class="link" href="../../../concepts/single_pass_range.html" title="Single Pass Range">Single
Pass Range</a> Concept.
</li>
<li class="listitem">
<code class="computeroutput"><span class="identifier">Value</span></code> is a model of
the <code class="computeroutput"><span class="identifier">AssignableConcept</span></code>.
</li>
<li class="listitem">
If <code class="computeroutput"><span class="identifier">x</span></code> is an object of
type <code class="computeroutput"><span class="identifier">Value</span></code>, <code class="computeroutput"><span class="identifier">y</span></code> is an object of <code class="computeroutput"><span class="identifier">SinglePassRange1</span></code>'s
value type, and <code class="computeroutput"><span class="identifier">z</span></code> is
an object of <code class="computeroutput"><span class="identifier">SinglePassRange2</span></code>'s
value type, then <code class="computeroutput"><span class="identifier">x</span> <span class="special">+</span> <span class="identifier">y</span> <span class="special">*</span> <span class="identifier">z</span></code>
is defined.
</li>
<li class="listitem">
The result type of the expression <code class="computeroutput"><span class="identifier">x</span>
<span class="special">+</span> <span class="identifier">y</span>
<span class="special">*</span> <span class="identifier">z</span></code>
is convertible to <code class="computeroutput"><span class="identifier">Value</span></code>.
</li>
</ol></div>
<a name="range.reference.algorithms.range_numeric.inner_product.for_the_second_version"></a><h6>
<a name="id3261975"></a>
<a class="link" href="inner_product.html#range.reference.algorithms.range_numeric.inner_product.for_the_second_version">For
the second version</a>
</h6>
<div class="orderedlist"><ol class="orderedlist" type="1">
<li class="listitem">
<code class="computeroutput"><span class="identifier">SinglePassRange1</span></code> is
a model of the <a class="link" href="../../../concepts/single_pass_range.html" title="Single Pass Range">Single
Pass Range</a> Concept.
</li>
<li class="listitem">
<code class="computeroutput"><span class="identifier">SinglePassRange2</span></code> is
a model of the <a class="link" href="../../../concepts/single_pass_range.html" title="Single Pass Range">Single
Pass Range</a> Concept.
</li>
<li class="listitem">
<code class="computeroutput"><span class="identifier">Value</span></code> is a model of
the <code class="computeroutput"><span class="identifier">AssignableConcept</span></code>.
</li>
<li class="listitem">
<code class="computeroutput"><span class="identifier">BinaryOperation1</span></code> is
a model of the <code class="computeroutput"><span class="identifier">BinaryFunctionConcept</span></code>.
</li>
<li class="listitem">
<code class="computeroutput"><span class="identifier">BinaryOperation2</span></code> is
a model of the <code class="computeroutput"><span class="identifier">BinaryFunctionConcept</span></code>.
</li>
<li class="listitem">
The value type of <code class="computeroutput"><span class="identifier">SinglePassRange1</span></code>
is convertible to the first argument type of <code class="computeroutput"><span class="identifier">BinaryOperation2</span></code>.
</li>
<li class="listitem">
The value type of <code class="computeroutput"><span class="identifier">SinglePassRange2</span></code>
is convertible to the second argument type of <code class="computeroutput"><span class="identifier">BinaryOperation2</span></code>.
</li>
<li class="listitem">
<code class="computeroutput"><span class="identifier">Value</span></code> is convertible
to the value type of <code class="computeroutput"><span class="identifier">BinaryOperation1</span></code>.
</li>
<li class="listitem">
The return type of <code class="computeroutput"><span class="identifier">BinaryOperation2</span></code>
is convertible to the second argument type of <code class="computeroutput"><span class="identifier">BinaryOperation1</span></code>.
</li>
<li class="listitem">
The return type of <code class="computeroutput"><span class="identifier">BinaryOperation1</span></code>
is convertible to <code class="computeroutput"><span class="identifier">Value</span></code>.
</li>
</ol></div>
<a name="range.reference.algorithms.range_numeric.inner_product.precondition_"></a><h6>
<a name="id3262261"></a>
<a class="link" href="inner_product.html#range.reference.algorithms.range_numeric.inner_product.precondition_">Precondition:</a>
</h6>
<p>
<code class="computeroutput"><span class="identifier">distance</span><span class="special">(</span><span class="identifier">rng2</span><span class="special">)</span> <span class="special">&gt;=</span> <span class="identifier">distance</span><span class="special">(</span><span class="identifier">rng1</span><span class="special">)</span></code> is a valid range.
</p>
<a name="range.reference.algorithms.range_numeric.inner_product.complexity"></a><h6>
<a name="id3262338"></a>
<a class="link" href="inner_product.html#range.reference.algorithms.range_numeric.inner_product.complexity">Complexity</a>
</h6>
<p>
Linear. Exactly <code class="computeroutput"><span class="identifier">distance</span><span class="special">(</span><span class="identifier">rng</span><span class="special">)</span></code>.
</p>
</div>
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright &#169; 2003 -2010 Thorsten Ottosen, Neil Groves<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
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>)
</p>
</div></td>
</tr></table>
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<html>
<head>
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>irange</title>
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<meta name="generator" content="DocBook XSL Stylesheets V1.75.1">
<link rel="home" href="../../../../index.html" title="Chapter&#160;1.&#160;Range 2.0">
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</div>
<div class="section" title="irange">
<div class="titlepage"><div><div><h5 class="title">
<a name="range.reference.algorithms.range_numeric.irange"></a><a class="link" href="irange.html" title="irange">
irange</a>
</h5></div></div></div>
<a name="range.reference.algorithms.range_numeric.irange.prototype"></a><h6>
<a name="id2948790"></a>
<a class="link" href="irange.html#range.reference.algorithms.range_numeric.irange.prototype">Prototype</a>
</h6>
<p>
</p>
<pre class="programlisting"><span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">class</span> <span class="identifier">Integer</span><span class="special">&gt;</span>
<span class="identifier">integer_range</span><span class="special">&lt;</span> <span class="identifier">range_detail</span><span class="special">::</span><span class="identifier">integer_iterator</span><span class="special">&lt;</span><span class="identifier">Integer</span><span class="special">&gt;</span> <span class="special">&gt;</span>
<span class="identifier">irange</span><span class="special">(</span><span class="identifier">Integer</span> <span class="identifier">first</span><span class="special">,</span> <span class="identifier">Integer</span> <span class="identifier">last</span><span class="special">);</span>
<span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">class</span> <span class="identifier">Integer</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">StepSize</span><span class="special">&gt;</span>
<span class="identifier">integer_range</span><span class="special">&lt;</span> <span class="identifier">range_detail</span><span class="special">::</span><span class="identifier">integer_iterator_with_step</span><span class="special">&lt;</span><span class="identifier">Integer</span><span class="special">,</span> <span class="identifier">StepSize</span><span class="special">&gt;</span> <span class="special">&gt;</span>
<span class="identifier">irange</span><span class="special">(</span><span class="identifier">Integer</span> <span class="identifier">first</span><span class="special">,</span> <span class="identifier">Integer</span> <span class="identifier">last</span><span class="special">,</span> <span class="identifier">StepSize</span> <span class="identifier">step_size</span><span class="special">);</span>
</pre>
<p>
</p>
<a name="range.reference.algorithms.range_numeric.irange.description"></a><h6>
<a name="id2949086"></a>
<a class="link" href="irange.html#range.reference.algorithms.range_numeric.irange.description">Description</a>
</h6>
<p>
<code class="computeroutput"><span class="identifier">irange</span></code> is a function
to generate an Integer Range.
</p>
<p>
<code class="computeroutput"><span class="identifier">irange</span></code> allows treating
integers as a model of the <a class="link" href="../../../concepts/random_access_range.html" title="Random Access Range">Random
Access Range</a> Concept. It should be noted that the <code class="computeroutput"><span class="identifier">first</span></code> and <code class="computeroutput"><span class="identifier">last</span></code>
parameters denoted a half-open range.
</p>
<a name="range.reference.algorithms.range_numeric.irange.definition"></a><h6>
<a name="id2949168"></a>
<a class="link" href="irange.html#range.reference.algorithms.range_numeric.irange.definition">Definition</a>
</h6>
<p>
Defined in the header file <code class="computeroutput"><span class="identifier">boost</span><span class="special">/</span><span class="identifier">range</span><span class="special">/</span><span class="identifier">irange</span><span class="special">.</span><span class="identifier">hpp</span></code>
</p>
<a name="range.reference.algorithms.range_numeric.irange.requirements"></a><h6>
<a name="id2949232"></a>
<a class="link" href="irange.html#range.reference.algorithms.range_numeric.irange.requirements">Requirements</a>
</h6>
<div class="orderedlist"><ol class="orderedlist" type="1">
<li class="listitem">
<code class="computeroutput"><span class="identifier">Integer</span></code> is a model
of the <code class="computeroutput"><span class="identifier">Integer</span></code> Concept.
</li>
<li class="listitem">
<code class="computeroutput"><span class="identifier">StepSize</span></code> is a model
of the <code class="computeroutput"><span class="identifier">SignedInteger</span></code>
Concept.
</li>
</ol></div>
<a name="range.reference.algorithms.range_numeric.irange.complexity"></a><h6>
<a name="id2949314"></a>
<a class="link" href="irange.html#range.reference.algorithms.range_numeric.irange.complexity">Complexity</a>
</h6>
<p>
Constant. Since this function generates a new range the most significant
performance cost is incurred through the iteration of the generated range.
</p>
</div>
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright &#169; 2003 -2010 Thorsten Ottosen, Neil Groves<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
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>)
</p>
</div></td>
</tr></table>
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<a accesskey="p" href="inner_product.html"><img src="../../../../../../../../doc/html/images/prev.png" alt="Prev"></a><a accesskey="u" href="../range_numeric.html"><img src="../../../../../../../../doc/html/images/up.png" alt="Up"></a><a accesskey="h" href="../../../../index.html"><img src="../../../../../../../../doc/html/images/home.png" alt="Home"></a><a accesskey="n" href="partial_sum.html"><img src="../../../../../../../../doc/html/images/next.png" alt="Next"></a>
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</div>
<div class="section" title="partial_sum">
<div class="titlepage"><div><div><h5 class="title">
<a name="range.reference.algorithms.range_numeric.partial_sum"></a><a class="link" href="partial_sum.html" title="partial_sum">
partial_sum</a>
</h5></div></div></div>
<a name="range.reference.algorithms.range_numeric.partial_sum.prototype"></a><h6>
<a name="id3262409"></a>
<a class="link" href="partial_sum.html#range.reference.algorithms.range_numeric.partial_sum.prototype">Prototype</a>
</h6>
<p>
</p>
<pre class="programlisting"><span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">class</span> <span class="identifier">SinglePassRange</span><span class="special">,</span>
<span class="keyword">class</span> <span class="identifier">OutputIterator</span><span class="special">&gt;</span>
<span class="identifier">OutputIterator</span> <span class="identifier">partial_sum</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">SinglePassRange</span><span class="special">&amp;</span> <span class="identifier">rng</span><span class="special">,</span>
<span class="identifier">OutputIterator</span> <span class="identifier">out_it</span><span class="special">);</span>
<span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">class</span> <span class="identifier">SinglePassRange</span><span class="special">,</span>
<span class="keyword">class</span> <span class="identifier">OutputIterator</span><span class="special">,</span>
<span class="keyword">class</span> <span class="identifier">BinaryOperation</span><span class="special">&gt;</span>
<span class="identifier">OutputIterator</span> <span class="identifier">partial_sum</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">SinglePassRange</span><span class="special">&amp;</span> <span class="identifier">rng</span><span class="special">,</span>
<span class="identifier">OutputIterator</span> <span class="identifier">out_it</span><span class="special">,</span>
<span class="identifier">BinaryOperation</span> <span class="identifier">op</span><span class="special">);</span>
</pre>
<p>
</p>
<a name="range.reference.algorithms.range_numeric.partial_sum.description"></a><h6>
<a name="id3262670"></a>
<a class="link" href="partial_sum.html#range.reference.algorithms.range_numeric.partial_sum.description">Description</a>
</h6>
<p>
<code class="computeroutput"><span class="identifier">partial_sum</span></code> calculates
a generalised partial sum of <code class="computeroutput"><span class="identifier">rng</span></code>
in the same manner as <code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">partial_sum</span><span class="special">(</span><span class="identifier">boost</span><span class="special">::</span><span class="identifier">begin</span><span class="special">(</span><span class="identifier">rng</span><span class="special">),</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">end</span><span class="special">(</span><span class="identifier">rng</span><span class="special">),</span> <span class="identifier">out_it</span><span class="special">)</span></code>. See <a href="http://www.sgi.com/tech/stl/partial_sum.html" target="_top">partial_sum</a>.
</p>
<a name="range.reference.algorithms.range_numeric.partial_sum.definition"></a><h6>
<a name="id3262813"></a>
<a class="link" href="partial_sum.html#range.reference.algorithms.range_numeric.partial_sum.definition">Definition</a>
</h6>
<p>
Defined in the header file <code class="computeroutput"><span class="identifier">boost</span><span class="special">/</span><span class="identifier">range</span><span class="special">/</span><span class="identifier">numeric</span><span class="special">.</span><span class="identifier">hpp</span></code>
</p>
<a name="range.reference.algorithms.range_numeric.partial_sum.requirements"></a><h6>
<a name="id3262877"></a>
<a class="link" href="partial_sum.html#range.reference.algorithms.range_numeric.partial_sum.requirements">Requirements</a>
</h6>
<a name="range.reference.algorithms.range_numeric.partial_sum.for_the_first_version"></a><h6>
<a name="id3262900"></a>
<a class="link" href="partial_sum.html#range.reference.algorithms.range_numeric.partial_sum.for_the_first_version">For
the first version</a>
</h6>
<div class="orderedlist"><ol class="orderedlist" type="1">
<li class="listitem">
<code class="computeroutput"><span class="identifier">SinglePassRange</span></code> is
a model of the <a class="link" href="../../../concepts/single_pass_range.html" title="Single Pass Range">Single
Pass Range</a> Concept.
</li>
<li class="listitem">
<code class="computeroutput"><span class="identifier">OutputIterator</span></code> is a
model of the <code class="computeroutput"><span class="identifier">OutputIteratorConcept</span></code>.
</li>
<li class="listitem">
If <code class="computeroutput"><span class="identifier">x</span></code> and <code class="computeroutput"><span class="identifier">y</span></code> are objects of <code class="computeroutput"><span class="identifier">SinglePassRange</span></code>'s
value type, then <code class="computeroutput"><span class="identifier">x</span> <span class="special">+</span> <span class="identifier">y</span></code>
is defined.
</li>
<li class="listitem">
The return type of <code class="computeroutput"><span class="identifier">x</span> <span class="special">+</span> <span class="identifier">y</span></code>
is convertible to the value type of <code class="computeroutput"><span class="identifier">SinglePassRange</span></code>.
</li>
<li class="listitem">
The value type of <code class="computeroutput"><span class="identifier">SinglePassRange</span></code>
is convertible to a type in <code class="computeroutput"><span class="identifier">OutputIterator</span></code>'s
set of value types.
</li>
</ol></div>
<a name="range.reference.algorithms.range_numeric.partial_sum.for_the_second_version"></a><h6>
<a name="id3263103"></a>
<a class="link" href="partial_sum.html#range.reference.algorithms.range_numeric.partial_sum.for_the_second_version">For
the second version</a>
</h6>
<div class="orderedlist"><ol class="orderedlist" type="1">
<li class="listitem">
<code class="computeroutput"><span class="identifier">SinglePassRange</span></code> is
a model of the <a class="link" href="../../../concepts/single_pass_range.html" title="Single Pass Range">Single
Pass Range</a> Concept.
</li>
<li class="listitem">
<code class="computeroutput"><span class="identifier">OutputIterator</span></code> is a
model of the <code class="computeroutput"><span class="identifier">OutputIteratorConcept</span></code>.
</li>
<li class="listitem">
<code class="computeroutput"><span class="identifier">BinaryOperation</span></code> is
a model of the <code class="computeroutput"><span class="identifier">BinaryFunctionConcept</span></code>.
</li>
<li class="listitem">
The result type of <code class="computeroutput"><span class="identifier">BinaryOperation</span></code>
is convertible to the value type of <code class="computeroutput"><span class="identifier">SinglePassRange</span></code>.
</li>
<li class="listitem">
The value type of <code class="computeroutput"><span class="identifier">SinglePassRange</span></code>
is convertible to a type in <code class="computeroutput"><span class="identifier">OutputIterator</span></code>'s
set of value types.
</li>
</ol></div>
<a name="range.reference.algorithms.range_numeric.partial_sum.precondition_"></a><h6>
<a name="id3263262"></a>
<a class="link" href="partial_sum.html#range.reference.algorithms.range_numeric.partial_sum.precondition_">Precondition:</a>
</h6>
<p>
<code class="computeroutput"><span class="special">[</span><span class="identifier">result</span><span class="special">,</span> <span class="identifier">result</span>
<span class="special">+</span> <span class="identifier">distance</span><span class="special">(</span><span class="identifier">rng</span><span class="special">))</span></code> is a valid range.
</p>
<a name="range.reference.algorithms.range_numeric.partial_sum.complexity"></a><h6>
<a name="id3263338"></a>
<a class="link" href="partial_sum.html#range.reference.algorithms.range_numeric.partial_sum.complexity">Complexity</a>
</h6>
<p>
Linear. If <code class="computeroutput"><span class="identifier">empty</span><span class="special">(</span><span class="identifier">rng</span><span class="special">)</span></code>
then zero applications, otherwise <code class="computeroutput"><span class="identifier">distance</span><span class="special">(</span><span class="identifier">rng</span><span class="special">)</span> <span class="special">-</span> <span class="number">1</span></code>
applications are performed.
</p>
</div>
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright &#169; 2003 -2010 Thorsten Ottosen, Neil Groves<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
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>)
</p>
</div></td>
</tr></table>
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