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14<div class="section" id="numeric-metafunction">
15<h1><a class="toc-backref" href="./changes-in-boost-1-32-0.html#id67" name="numeric-metafunction">Numeric Metafunction Protocol/Infrastructure</a></h1>
16<p>The arithmetic, comparison and bitwise metafunctions are now
17<cite>polymorphic</cite>, and can operate on a variety of numeric types,
18including rational, fixed-point and complex numbers.  They allow
19<cite>mixed arithmetic</cite>, meaning that you can perform an operation on
20arguments of different types, and the result will yeild the
21largest/most general of the argument types. The infrastructure
22allows user-defined numeric types to be freely intermixed with
23predefined library types. See
24<a class="reference" href="http://cvs.sourceforge.net/viewcvs.py/boost/boost/libs/mpl/test/numeric_ops.cpp?view=markup" target="_top">http://cvs.sourceforge.net/viewcvs.py/boost/boost/libs/mpl/test/numeric_ops.cpp?view=markup</a>
25for an illustrative example, and the <a class="reference" href="./reference-manual.html">reference manual</a> for
26the formal infrastructure specification.</p>
27<p>If you were using MPL numeric metafunctions on your own integral
28wrapper class similar to <tt class="literal"><span class="pre">mpl::int_</span></tt>, you can plug your class
29into the new infrustructure by extending it with the following
30member:</p>
31<pre class="literal-block">
32typedef mpl::integral_c_tag tag;
33</pre>
34<p>For example:</p>
35<table border="1" class="table">
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46<tr><td><pre class="first last literal-block">
47template&lt; int n &gt; struct my_int
48{
49    static int const value = n;
50    typedef my_int type;
51};
52</pre>
53</td>
54<td><pre class="first last literal-block">
55template&lt; int n &gt; struct my_int
56{
57    <strong>typedef mpl::integral_c_tag tag;</strong>
58    static int const value = n;
59    typedef my_int type;
60};
61</pre>
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