boost-react-native-bundle
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<title>The MPL Reference Manual: Numeric Metafunction</title>
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<table class="header"><tr class="header"><td class="header-group navigation-bar"><span class="navigation-group"><a href="./tag-dispatched-metafunction.html" class="navigation-link">Prev</a> <a href="./trivial-metafunction.html" class="navigation-link">Next</a></span><span class="navigation-group-separator"> | </span><span class="navigation-group"><a href="./tag-dispatched-metafunction.html" class="navigation-link">Back</a> <a href="./trivial-metafunction.html" class="navigation-link">Along</a></span><span class="navigation-group-separator"> | </span><span class="navigation-group"><a href="./metafunctions-concepts.html" class="navigation-link">Up</a> <a href="../refmanual.html" class="navigation-link">Home</a></span><span class="navigation-group-separator"> | </span><span class="navigation-group"><a href="./refmanual_toc.html" class="navigation-link">Full TOC</a></span></td>
<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="./metafunctions-concepts.html" class="navigation-link">Concepts</a> / <a href="./numeric-metafunction.html" class="navigation-link">Numeric Metafunction</a></td>
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<div class="section" id="numeric-metafunction">
<h1><a class="toc-backref" href="./metafunctions-concepts.html#id1517">Numeric Metafunction</a></h1>
<div class="section" id="id847">
<h3><a class="subsection-title" href="#description" name="description">Description</a></h3>
<p>A <a class="reference internal" href="./numeric-metafunction.html">Numeric Metafunction</a> is a <a class="reference internal" href="./tag-dispatched-metafunction.html">Tag Dispatched Metafunction</a> that provides
a built-in infrastructure for easy implementation of mixed-type operations.</p>
</div>
<div class="section" id="id848">
<h3><a class="subsection-title" href="#expression-requirements" name="expression-requirements">Expression requirements</a></h3>
<p>In the following table and subsequent specifications, <tt class="literal"><span class="pre">op</span></tt> is a placeholder token for the actual
<a class="reference internal" href="./numeric-metafunction.html">Numeric Metafunction</a>'s name, and <tt class="literal"><span class="pre">x</span></tt>, <tt class="literal"><span class="pre">y</span></tt> and <em>x</em><sub>1</sub>,<em>x</em><sub>2</sub>,... <em>x</em><sub>n</sub> are
arbitrary numeric types.</p>
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<tr><th class="head">Expression</th>
<th class="head">Type</th>
<th class="head">Complexity</th>
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<tr><td><tt class="literal"><span class="pre">op_tag<x>::type</span></tt></td>
<td><a class="reference internal" href="./integral-constant.html">Integral Constant</a></td>
<td>Amortized constant time.</td>
</tr>
<tr><td><pre class="first last literal-block">
op_impl<
op_tag<x>::type
, op_tag<y>::type
>::<a href="./apply.html" class="identifier">apply</a><x,y>::type
</pre>
</td>
<td>Any type</td>
<td>Unspecified.</td>
</tr>
<tr><td><tt class="literal"><span class="pre">op<</span></tt><em>x</em><sub>1</sub>,<em>x</em><sub>2</sub>,... <em>x</em><sub>n</sub><tt class="literal"><span class="pre">>::type</span></tt></td>
<td>Any type</td>
<td>Unspecified.</td>
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<div class="section" id="id849">
<h3><a class="subsection-title" href="#expression-semantics" name="expression-semantics">Expression semantics</a></h3>
<pre class="literal-block">
typedef op_tag<x>::type tag;
</pre>
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<tr class="field"><th class="field-name">Semantics:</th><td class="field-body"><tt class="literal"><span class="pre">tag</span></tt> is a tag type for <tt class="literal"><span class="pre">x</span></tt> for <tt class="literal"><span class="pre">op</span></tt>.
<tt class="literal"><span class="pre">tag::value</span></tt> is <tt class="literal"><span class="pre">x</span></tt>'s <em>conversion rank</em>.</td>
</tr>
</tbody>
</table>
<!-- .......................................................................... -->
<pre class="literal-block">
typedef op_impl<
op_tag<x>::type
, op_tag<y>::type
>::<a href="./apply.html" class="identifier">apply</a><x,y>::type r;
</pre>
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<tr class="field"><th class="field-name">Semantics:</th><td class="field-body"><tt class="literal"><span class="pre">r</span></tt> is the result of <tt class="literal"><span class="pre">op</span></tt> application on arguments <tt class="literal"><span class="pre">x</span></tt>
and <tt class="literal"><span class="pre">y</span></tt>.</td>
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<!-- .......................................................................... -->
<pre class="literal-block">
typedef op<<em>x</em><sub>1</sub>,<em>x</em><sub>2</sub>,... <em>x</em><sub>n</sub>>::type r;
</pre>
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<tbody valign="top">
<tr class="field"><th class="field-name">Semantics:</th><td class="field-body"><tt class="literal"><span class="pre">r</span></tt> is the result of <tt class="literal"><span class="pre">op</span></tt> application on arguments <em>x</em><sub>1</sub>,<em>x</em><sub>2</sub>,... <em>x</em><sub>n</sub>.</td>
</tr>
</tbody>
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<div class="section" id="id850">
<h3><a class="subsection-title" href="#example" name="example">Example</a></h3>
<pre class="literal-block">
struct complex_tag : <a href="./int.html" class="identifier">int_</a><10> {};
template< typename Re, typename Im > struct complex
{
typedef complex_tag tag;
typedef complex type;
typedef Re real;
typedef Im imag;
};
template< typename C > struct real : C::real {};
template< typename C > struct imag : C::imag {};
namespace boost { namespace mpl {
template<>
struct plus_impl< complex_tag,complex_tag >
{
template< typename N1, typename N2 > struct <a href="./apply.html" class="identifier">apply</a>
: complex<
<a href="./plus.html" class="identifier">plus</a>< typename N1::real, typename N2::real >
, <a href="./plus.html" class="identifier">plus</a>< typename N1::imag, typename N2::imag >
>
{
};
};
}}
typedef complex< <a href="./int.html" class="identifier">int_</a><5>, <a href="./int.html" class="identifier">int_</a><-1> > c1;
typedef complex< <a href="./int.html" class="identifier">int_</a><-5>, <a href="./int.html" class="identifier">int_</a><1> > c2;
typedef <a href="./plus.html" class="identifier">plus</a><c1,c2> r1;
<a href="./assert-relation.html" class="identifier">BOOST_MPL_ASSERT_RELATION</a>( real<r1>::value, ==, 0 );
<a href="./assert-relation.html" class="identifier">BOOST_MPL_ASSERT_RELATION</a>( imag<r1>::value, ==, 0 );
typedef <a href="./plus.html" class="identifier">plus</a><c1,c1> r2;
<a href="./assert-relation.html" class="identifier">BOOST_MPL_ASSERT_RELATION</a>( real<r2>::value, ==, 10 );
<a href="./assert-relation.html" class="identifier">BOOST_MPL_ASSERT_RELATION</a>( imag<r2>::value, ==, -2 );
typedef <a href="./plus.html" class="identifier">plus</a><c2,c2> r3;
<a href="./assert-relation.html" class="identifier">BOOST_MPL_ASSERT_RELATION</a>( real<r3>::value, ==, -10 );
<a href="./assert-relation.html" class="identifier">BOOST_MPL_ASSERT_RELATION</a>( imag<r3>::value, ==, 2 );
</pre>
</div>
<div class="section" id="id851">
<h3><a class="subsection-title" href="#models" name="models">Models</a></h3>
<ul class="simple">
<li><a class="reference internal" href="./plus.html">plus</a></li>
<li><a class="reference internal" href="./minus.html">minus</a></li>
<li><a class="reference internal" href="./times.html">times</a></li>
<li><a class="reference internal" href="./divides.html">divides</a></li>
</ul>
</div>
<div class="section" id="id852">
<h3><a class="subsection-title" href="#see-also" name="see-also">See also</a></h3>
<p><a class="reference internal" href="./tag-dispatched-metafunction.html">Tag Dispatched Metafunction</a>, <a class="reference internal" href="./metafunctions.html">Metafunctions</a>, <a class="reference internal" href="./numeric-cast.html">numeric_cast</a></p>
<!-- Metafunctions/Concepts//Trivial Metafunction |70 -->
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