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102 lines
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<div class="titlepage"><div><div><h3 class="title">
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<a name="boost_multiprecision.tut.limits"></a><a class="link" href="limits.html" title="Numeric Limits">Numeric Limits</a>
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</h3></div></div></div>
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<div class="toc"><dl class="toc">
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<dt><span class="section"><a href="limits/constants.html">std::numeric_limits<>
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constants</a></span></dt>
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<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"><></span></code> functions</a></span></dt>
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<dt><span class="section"><a href="limits/limits32.html">Numeric limits
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for 32-bit platform</a></span></dt>
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<dt><span class="section"><a href="limits/how_to_tell.html">How to
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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>
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</dl></div>
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<p>
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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>
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for all types as far as possible and meaningful because experience with Boost.Math
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has shown that this aids portability.
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</p>
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<p>
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The <a href="http://www.open-std.org/jtc1/sc22/wg21/docs/papers/2013/n3690.pdf" target="_top">C++
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standard library</a> defines <code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">numeric_limits</span></code>
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in section 18.3.2.
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</p>
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<p>
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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
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N507 DRAFT INTERNATIONAL ISO/IEC STANDARD WD 10967-1</a> Information
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technology Language independent arithmetic Part 1: Integer and floating-point
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arithmetic.
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</p>
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<p>
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That C Standard in turn refers to
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</p>
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<p>
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<a href="https://doi.org/10.1109/IEEESTD.1985.82928" target="_top">IEEE754 IEEE Standard
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for Binary Floating-Point Arithmetic</a>
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</p>
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<p>
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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>
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at <a href="http://www.cplusplus.com/reference/limits/numeric_limits/" target="_top">C++
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reference</a>.
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</p>
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<p>
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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>
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is available.
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</p>
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<p>
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Compiler options, processor type, and definition of macros or assembler instructions
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to control denormal numbers will alter the values in the tables given below.
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</p>
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<div class="warning"><table border="0" summary="Warning">
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<tr>
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<td rowspan="2" align="center" valign="top" width="25"><img alt="[Warning]" src="../../../../../../doc/src/images/warning.png"></td>
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<th align="left">Warning</th>
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</tr>
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<tr><td align="left" valign="top"><p>
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GMP's extendable floatin-point <code class="computeroutput"><span class="identifier">mpf_t</span></code>
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does not have a concept of overflow: operations that lead to overflow eventually
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run of out of resources and terminate with stack overflow (often after
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several seconds).
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</p></td></tr>
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</table></div>
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<td align="left"></td>
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<td align="right"><div class="copyright-footer">Copyright © 2002-2020 John
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Maddock and Christopher Kormanyos<p>
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Distributed under the Boost Software License, Version 1.0. (See accompanying
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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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