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26<div class="titlepage"><div><div><h3 class="title">
27<a name="boost_multiprecision.tut.limits"></a><a class="link" href="limits.html" title="Numeric Limits">Numeric Limits</a>
28</h3></div></div></div>
29<div class="toc"><dl class="toc">
30<dt><span class="section"><a href="limits/constants.html">std::numeric_limits&lt;&gt;
31        constants</a></span></dt>
32<dt><span class="section"><a href="limits/functions.html"><code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">numeric_limits</span><span class="special">&lt;&gt;</span></code> functions</a></span></dt>
33<dt><span class="section"><a href="limits/limits32.html">Numeric limits
34        for 32-bit platform</a></span></dt>
35<dt><span class="section"><a href="limits/how_to_tell.html">How to
36        Determine the Kind of a Number From <code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">numeric_limits</span></code></a></span></dt>
37</dl></div>
38<p>
39        Boost.Multiprecision tries hard to implement <code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">numeric_limits</span></code>
40        for all types as far as possible and meaningful because experience with Boost.Math
41        has shown that this aids portability.
42      </p>
43<p>
44        The <a href="http://www.open-std.org/jtc1/sc22/wg21/docs/papers/2013/n3690.pdf" target="_top">C++
45        standard library</a> defines <code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">numeric_limits</span></code>
46        in section 18.3.2.
47      </p>
48<p>
49        This in turn refers to the C standard <a href="http://www.open-std.org/jtc1/sc22/wg11/docs/n507.pdf" target="_top">SC22/WG11
50        N507 DRAFT INTERNATIONAL ISO/IEC STANDARD WD 10967-1</a> Information
51        technology Language independent arithmetic Part 1: Integer and floating-point
52        arithmetic.
53      </p>
54<p>
55        That C Standard in turn refers to
56      </p>
57<p>
58        <a href="https://doi.org/10.1109/IEEESTD.1985.82928" target="_top">IEEE754 IEEE Standard
59        for Binary Floating-Point Arithmetic</a>
60      </p>
61<p>
62        There is a useful summary of <code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">numeric_limits</span></code>
63        at <a href="http://www.cplusplus.com/reference/limits/numeric_limits/" target="_top">C++
64        reference</a>.
65      </p>
66<p>
67        The chosen backend often determines how completely <code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">numeric_limits</span></code>
68        is available.
69      </p>
70<p>
71        Compiler options, processor type, and definition of macros or assembler instructions
72        to control denormal numbers will alter the values in the tables given below.
73      </p>
74<div class="warning"><table border="0" summary="Warning">
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76<td rowspan="2" align="center" valign="top" width="25"><img alt="[Warning]" src="../../../../../../doc/src/images/warning.png"></td>
77<th align="left">Warning</th>
78</tr>
79<tr><td align="left" valign="top"><p>
80          GMP's extendable floatin-point <code class="computeroutput"><span class="identifier">mpf_t</span></code>
81          does not have a concept of overflow: operations that lead to overflow eventually
82          run of out of resources and terminate with stack overflow (often after
83          several seconds).
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89<td align="right"><div class="copyright-footer">Copyright © 2002-2020 John
90      Maddock and Christopher Kormanyos<p>
91        Distributed under the Boost Software License, Version 1.0. (See accompanying
92        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>)
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