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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 at <a href="http://www.cplusplus.com/reference/limits/numeric_limits/" target="_top">C++
  63         reference</a>.
  64       </p>
  65 <p>
  66         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>
  67         is available.
  68       </p>
  69 <p>
  70         Compiler options, processor type, and definition of macros or assembler instructions
  71         to control denormal numbers will alter the values in the tables given below.
  72       </p>
  73 <div class="warning"><table border="0" summary="Warning">
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  75 <td rowspan="2" align="center" valign="top" width="25"><img alt="[Warning]" src="../../../../../../doc/src/images/warning.png"></td>
  76 <th align="left">Warning</th>
  77 </tr>
  78 <tr><td align="left" valign="top"><p>
  79           GMP's <code class="computeroutput"><span class="identifier">mpf_t</span></code> does not have
  80           a concept of overflow: operations that lead to overflow eventually run
  81           of out of resources and terminate with stack overflow (often after several
  82           seconds).
  83         </p></td></tr>
  84 </table></div>
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  88 <td align="right"><div class="copyright-footer">Copyright &#169; 2002-2019 John Maddock
  89       and Christopher Kormanyos<p>
  90         Distributed under the Boost Software License, Version 1.0. (See accompanying
  91         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>)
  92       </p>
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