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27 <a name="math_toolkit.high_precision"></a><a class="link" href="high_precision.html" title="Using Boost.Math with High-Precision Floating-Point Libraries">Using Boost.Math with High-Precision
28 Floating-Point Libraries</a>
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30 <div class="toc"><dl class="toc">
31 <dt><span class="section"><a href="high_precision/why_high_precision.html">Why use
32 a high-precision library rather than built-in floating-point types?</a></span></dt>
33 <dt><span class="section"><a href="high_precision/use_multiprecision.html">Using
34 Boost.Multiprecision</a></span></dt>
35 <dt><span class="section"><a href="high_precision/float128.html">Using with GCC's
36 __float128 datatype</a></span></dt>
37 <dt><span class="section"><a href="high_precision/use_mpfr.html">Using With MPFR
38 or GMP - High-Precision Floating-Point Library</a></span></dt>
39 <dt><span class="section"><a href="high_precision/e_float.html">Using e_float Library</a></span></dt>
40 <dt><span class="section"><a href="high_precision/use_ntl.html">Using NTL Library</a></span></dt>
41 <dt><span class="section"><a href="high_precision/using_test.html">Using without
42 expression templates for Boost.Test and others</a></span></dt>
45 The special functions, distributions, constants and tools in this library can
46 be used with a number of high-precision libraries, including:
48 <div class="itemizedlist"><ul class="itemizedlist" style="list-style-type: disc; ">
50 <a href="../../../../../libs/multiprecision/doc/html/index.html" target="_top">Boost.Multiprecision</a>
53 <a href="http://calgo.acm.org/910.zip" target="_top">e_float (TOMS Algorithm 910)</a>
56 <a href="http://www.shoup.net/ntl/" target="_top">NTL A Library for doing Number Theory</a>
59 <a href="http://gmplib.org/" target="_top">GNU Multiple Precision Arithmetic Library</a>
62 <a href="http://www.mpfr.org/" target="_top">GNU MPFR library</a>
69 The last four have some license restrictions; only <a href="../../../../../libs/multiprecision/doc/html/index.html" target="_top">Boost.Multiprecision</a>
70 when using the <code class="computeroutput"><span class="identifier">cpp_float</span></code> backend
71 can provide an unrestricted <a href="http://www.boost.org/LICENSE_1_0.txt" target="_top">Boost</a>
75 At present, the price of a free license is slightly lower speed.
78 Of course, the main cost of higher precision is very much decreased (usually
79 at least hundred-fold) computation speed, and big increases in memory use.
82 Some libraries offer true <a href="http://en.wikipedia.org/wiki/Arbitrary-precision_arithmetic" target="_top">arbitrary-precision
83 arithmetic</a> where the precision is limited only by available memory
84 and compute time, but most are used at some arbitrarily-fixed precision, say
85 100 decimal digits, like <a href="../../../../../libs/multiprecision/doc/html/index.html" target="_top">Boost.Multiprecision</a>
86 <code class="computeroutput"><span class="identifier">cpp_dec_float_100</span></code>.
89 <a href="../../../../../libs/multiprecision/doc/html/index.html" target="_top">Boost.Multiprecision</a>
90 can operate in both ways, but the most popular choice is likely to be about
91 a hundred decimal digits, though examples of computing about a million digits
92 have been demonstrated.
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98 Anton Bikineev, Paul A. Bristow, Marco Guazzone, Christopher Kormanyos, Hubert
99 Holin, Bruno Lalande, John Maddock, Jeremy Murphy, Johan Råde, Gautam Sewani,
100 Benjamin Sobotta, Thijs van den Berg, Daryle Walker and Xiaogang Zhang<p>
101 Distributed under the Boost Software License, Version 1.0. (See accompanying
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