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<td class="header-group page-location"><a href="../refmanual.html" class="navigation-link">Front Page</a> / <a href="./metafunctions.html" class="navigation-link">Metafunctions</a> / <a href="./arithmetic-operations.html" class="navigation-link">Arithmetic Operations</a> / <a href="./modulus.html" class="navigation-link">modulus</a></td>
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<div class="section" id="modulus">
<h1><a class="toc-backref" href="./arithmetic-operations.html#id1540">modulus</a></h1>
<div class="section" id="id996">
<h3><a class="subsection-title" href="#synopsis" name="synopsis">Synopsis</a></h3>
<pre class="literal-block">
template&lt;
      typename T1
    , typename T2
    &gt;
struct <a href="./modulus.html" class="identifier">modulus</a>
{
    typedef <em>unspecified</em> type;
};
</pre>
</div>
<div class="section" id="id997">
<h3><a class="subsection-title" href="#description" name="description">Description</a></h3>
<p>Returns the modulus of its arguments.</p>
</div>
<div class="section" id="id998">
<h3><a class="subsection-title" href="#header" name="header">Header</a></h3>
<pre class="literal-block">
#include &lt;<a href="../../../../boost/mpl/modulus.hpp" class="header">boost/mpl/modulus.hpp</a>&gt;
#include &lt;<a href="../../../../boost/mpl/arithmetic.hpp" class="header">boost/mpl/arithmetic.hpp</a>&gt;
</pre>
</div>
<div class="section" id="id999">
<h3><a class="subsection-title" href="#model-of" name="model-of">Model of</a></h3>
<p><a class="reference internal" href="./numeric-metafunction.html">Numeric Metafunction</a></p>
</div>
<div class="section" id="id1000">
<h3><a class="subsection-title" href="#parameters" name="parameters">Parameters</a></h3>
<table border="1" class="docutils table">
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<col width="17%" />
<col width="30%" />
<col width="53%" />
</colgroup>
<thead valign="bottom">
<tr><th class="head">Parameter</th>
<th class="head">Requirement</th>
<th class="head">Description</th>
</tr>
</thead>
<tbody valign="top">
<tr><td><tt class="literal"><span class="pre">T1</span></tt>, <tt class="literal"><span class="pre">T2</span></tt></td>
<td><a class="reference internal" href="./integral-constant.html">Integral Constant</a></td>
<td>Operation's arguments.</td>
</tr>
</tbody>
</table>
<p>[<em>Note:</em> The requirements listed in this specification
are the ones imposed by the default implementation. See <a class="reference internal" href="./numeric-metafunction.html">Numeric Metafunction</a> concept
for the details on how to provide an implementation for a user-defined numeric type
that does not satisfy the <a class="reference internal" href="./integral-constant.html">Integral Constant</a> requirements. — <em>end note</em>]</p>
</div>
<div class="section" id="id1001">
<h3><a class="subsection-title" href="#expression-semantics" name="expression-semantics">Expression semantics</a></h3>
<p>For any <a class="reference internal" href="./integral-constant.html">Integral Constant</a>s <tt class="literal"><span class="pre">c1</span></tt> and <tt class="literal"><span class="pre">c2</span></tt>:</p>
<pre class="literal-block">
typedef <a href="./modulus.html" class="identifier">modulus</a>&lt;c1,c2&gt;::type r;
</pre>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
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<tbody valign="top">
<tr class="field"><th class="field-name">Return type:</th><td class="field-body"><p class="first"><a class="reference internal" href="./integral-constant.html">Integral Constant</a>.</p>
</td>
</tr>
<tr class="field"><th class="field-name">Precondition:</th><td class="field-body"><p class="first"><tt class="literal"><span class="pre">c2::value</span> <span class="pre">!=</span> <span class="pre">0</span></tt></p>
</td>
</tr>
<tr class="field"><th class="field-name">Semantics:</th><td class="field-body"><p class="first">Equivalent to</p>
<pre class="last literal-block">
typedef <a href="./integral-c.html" class="identifier">integral_c</a>&lt;
      typeof(c1::value % c2::value)
    , ( c1::value % c2::value )
    &gt; r;
</pre>
</td>
</tr>
</tbody>
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<!-- .......................................................................... -->
<pre class="literal-block">
typedef <a href="./modulus.html" class="identifier">modulus</a>&lt;c1,c2&gt; r;
</pre>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field"><th class="field-name">Return type:</th><td class="field-body"><p class="first"><a class="reference internal" href="./integral-constant.html">Integral Constant</a>.</p>
</td>
</tr>
<tr class="field"><th class="field-name">Precondition:</th><td class="field-body"><p class="first"><tt class="literal"><span class="pre">c2::value</span> <span class="pre">!=</span> <span class="pre">0</span></tt></p>
</td>
</tr>
<tr class="field"><th class="field-name">Semantics:</th><td class="field-body"><p class="first">Equivalent to</p>
<pre class="last literal-block">
struct r : <a href="./modulus.html" class="identifier">modulus</a>&lt;c1,c2&gt;::type {};
</pre>
</td>
</tr>
</tbody>
</table>
</div>
<div class="section" id="id1002">
<h3><a class="subsection-title" href="#complexity" name="complexity">Complexity</a></h3>
<p>Amortized constant time.</p>
</div>
<div class="section" id="id1003">
<h3><a class="subsection-title" href="#example" name="example">Example</a></h3>
<pre class="literal-block">
typedef <a href="./modulus.html" class="identifier">modulus</a>&lt; <a href="./int.html" class="identifier">int_</a>&lt;10&gt;, <a href="./long.html" class="identifier">long_</a>&lt;3&gt; &gt;::type r;
<a href="./assert-relation.html" class="identifier">BOOST_MPL_ASSERT_RELATION</a>( r::value, ==, 1 );
<a href="./assert.html" class="identifier">BOOST_MPL_ASSERT</a>(( is_same&lt; r::<a href="./value-type.html" class="identifier">value_type</a>, long > ));
</pre>
</div>
<div class="section" id="id1004">
<h3><a class="subsection-title" href="#see-also" name="see-also">See also</a></h3>
<p><a class="reference internal" href="./metafunctions.html">Metafunctions</a>, <a class="reference internal" href="./numeric-metafunction.html">Numeric Metafunction</a>, <a class="reference internal" href="./numeric-cast.html">numeric_cast</a>, <a class="reference internal" href="./divides.html">divides</a>, <a class="reference internal" href="./times.html">times</a>, <a class="reference internal" href="./plus.html">plus</a></p>
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