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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">std::numeric_limits&lt;&gt;
33         functions</a></span></dt>
34 <dt><span class="section"><a href="limits/limits32.html">Numeric limits
35         for 32-bit platform</a></span></dt>
36 <dt><span class="section"><a href="limits/how_to_tell.html">How to
37         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>
38 </dl></div>
39 <p>
40         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>
41         for all types as far as possible and meaningful because experience with Boost.Math
42         has shown that this aids portability.
43       </p>
44 <p>
45         The <a href="http://www.open-std.org/jtc1/sc22/wg21/docs/papers/2013/n3690.pdf" target="_top">C++
46         standard library</a> defines <code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">numeric_limits</span></code>
47         in section 18.3.2.
48       </p>
49 <p>
50         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
51         N507 DRAFT INTERNATIONAL ISO/IEC STANDARD WD 10967-1</a> Information
52         technology Language independent arithmetic Part 1: Integer and Floating point
53         arithmetic.
54       </p>
55 <p>
56         That C Standard in turn refers to
57       </p>
58 <p>
59         <a href="http://754r.ucbtest.org/standards/754.pdf" target="_top">IEEE754 IEEE Standard
60         for Binary Floating-Point Arithmetic</a>
61       </p>
62 <p>
63         There is a useful summary 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>
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80           GMP's <code class="computeroutput"><span class="identifier">mpf_t</span></code> does not have
81           a concept of overflow: operations that lead to overflow eventually run
82           of out of resources and terminate with stack overflow (often after several
83           seconds).
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