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<title>Numeric Limits</title>
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<div class="titlepage"><div><div><h3 class="title">
<a name="boost_multiprecision.tut.limits"></a><a class="link" href="limits.html" title="Numeric Limits">Numeric Limits</a>
</h3></div></div></div>
<div class="toc"><dl class="toc">
<dt><span class="section"><a href="limits/constants.html">std::numeric_limits<>
constants</a></span></dt>
<dt><span class="section"><a href="limits/functions.html">std::numeric_limits<>
functions</a></span></dt>
<dt><span class="section"><a href="limits/limits32.html">Numeric limits
for 32-bit platform</a></span></dt>
<dt><span class="section"><a href="limits/how_to_tell.html">How to
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>
</dl></div>
<p>
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>
for all types as far as possible and meaningful because experience with Boost.Math
has shown that this aids portability.
</p>
<p>
The <a href="http://www.open-std.org/jtc1/sc22/wg21/docs/papers/2013/n3690.pdf" target="_top">C++
standard library</a> defines <code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">numeric_limits</span></code>
in section 18.3.2.
</p>
<p>
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
N507 DRAFT INTERNATIONAL ISO/IEC STANDARD WD 10967-1</a> Information
technology Language independent arithmetic Part 1: Integer and Floating point
arithmetic.
</p>
<p>
That C Standard in turn refers to
</p>
<p>
<a href="http://754r.ucbtest.org/standards/754.pdf" target="_top">IEEE754 IEEE Standard
for Binary Floating-Point Arithmetic</a>
</p>
<p>
There is a useful summary at <a href="http://www.cplusplus.com/reference/limits/numeric_limits/" target="_top">C++
reference</a>.
</p>
<p>
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>
is available.
</p>
<p>
Compiler options, processor type, and definition of macros or assembler instructions
to control denormal numbers will alter the values in the tables given below.
</p>
<div class="warning"><table border="0" summary="Warning">
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<td rowspan="2" align="center" valign="top" width="25"><img alt="[Warning]" src="../../../../../../doc/src/images/warning.png"></td>
<th align="left">Warning</th>
</tr>
<tr><td align="left" valign="top"><p>
GMP's <code class="computeroutput"><span class="identifier">mpf_t</span></code> does not have
a concept of overflow: operations that lead to overflow eventually run
of out of resources and terminate with stack overflow (often after several
seconds).
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<td align="right"><div class="copyright-footer">Copyright © 2002-2013 John Maddock and Christopher Kormanyos<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
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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