[Boost-commit] svn:boost r77652 - in sandbox/big_number/libs/multiprecision/doc/html: . boost_multiprecision boost_multiprecision/indexes boost_multiprecision/map boost_multiprecision/perf boost_multiprecision/ref boost_multiprecision/tut boost_multiprecision/tut/floats boost_multiprecision/tut/ints boost_multiprecision/tut/rational

Subject: [Boost-commit] svn:boost r77652 - in sandbox/big_number/libs/multiprecision/doc/html: . boost_multiprecision boost_multiprecision/indexes boost_multiprecision/map boost_multiprecision/perf boost_multiprecision/ref boost_multiprecision/tut boost_multiprecision/tut/floats boost_multiprecision/tut/ints boost_multiprecision/tut/rational
From: john_at_[hidden]
Date: 2012-03-30 14:35:43

Author: johnmaddock
Date: 2012-03-30 14:35:38 EDT (Fri, 30 Mar 2012)
New Revision: 77652
URL: http://svn.boost.org/trac/boost/changeset/77652

Log:
Add updated HTML docs.
Added:
   sandbox/big_number/libs/multiprecision/doc/html/
   sandbox/big_number/libs/multiprecision/doc/html/boost_multiprecision/
   sandbox/big_number/libs/multiprecision/doc/html/boost_multiprecision/indexes/
   sandbox/big_number/libs/multiprecision/doc/html/boost_multiprecision/indexes.html   (contents, props changed)
   sandbox/big_number/libs/multiprecision/doc/html/boost_multiprecision/indexes/s01.html   (contents, props changed)
   sandbox/big_number/libs/multiprecision/doc/html/boost_multiprecision/indexes/s02.html   (contents, props changed)
   sandbox/big_number/libs/multiprecision/doc/html/boost_multiprecision/indexes/s03.html   (contents, props changed)
   sandbox/big_number/libs/multiprecision/doc/html/boost_multiprecision/indexes/s04.html   (contents, props changed)
   sandbox/big_number/libs/multiprecision/doc/html/boost_multiprecision/intro.html   (contents, props changed)
   sandbox/big_number/libs/multiprecision/doc/html/boost_multiprecision/map/
   sandbox/big_number/libs/multiprecision/doc/html/boost_multiprecision/map.html   (contents, props changed)
   sandbox/big_number/libs/multiprecision/doc/html/boost_multiprecision/map/ack.html   (contents, props changed)
   sandbox/big_number/libs/multiprecision/doc/html/boost_multiprecision/map/hist.html   (contents, props changed)
   sandbox/big_number/libs/multiprecision/doc/html/boost_multiprecision/map/todo.html   (contents, props changed)
   sandbox/big_number/libs/multiprecision/doc/html/boost_multiprecision/perf/
   sandbox/big_number/libs/multiprecision/doc/html/boost_multiprecision/perf.html   (contents, props changed)
   sandbox/big_number/libs/multiprecision/doc/html/boost_multiprecision/perf/float_performance.html   (contents, props changed)
   sandbox/big_number/libs/multiprecision/doc/html/boost_multiprecision/perf/int_real_world.html   (contents, props changed)
   sandbox/big_number/libs/multiprecision/doc/html/boost_multiprecision/perf/integer_performance.html   (contents, props changed)
   sandbox/big_number/libs/multiprecision/doc/html/boost_multiprecision/perf/rational_performance.html   (contents, props changed)
   sandbox/big_number/libs/multiprecision/doc/html/boost_multiprecision/perf/realworld.html   (contents, props changed)
   sandbox/big_number/libs/multiprecision/doc/html/boost_multiprecision/ref/
   sandbox/big_number/libs/multiprecision/doc/html/boost_multiprecision/ref.html   (contents, props changed)
   sandbox/big_number/libs/multiprecision/doc/html/boost_multiprecision/ref/backendconc.html   (contents, props changed)
   sandbox/big_number/libs/multiprecision/doc/html/boost_multiprecision/ref/cpp_dec_ref.html   (contents, props changed)
   sandbox/big_number/libs/multiprecision/doc/html/boost_multiprecision/ref/cpp_int_ref.html   (contents, props changed)
   sandbox/big_number/libs/multiprecision/doc/html/boost_multiprecision/ref/gmp_int_ref.html   (contents, props changed)
   sandbox/big_number/libs/multiprecision/doc/html/boost_multiprecision/ref/mp_number.html   (contents, props changed)
   sandbox/big_number/libs/multiprecision/doc/html/boost_multiprecision/ref/mpf_ref.html   (contents, props changed)
   sandbox/big_number/libs/multiprecision/doc/html/boost_multiprecision/ref/mpfr_ref.html   (contents, props changed)
   sandbox/big_number/libs/multiprecision/doc/html/boost_multiprecision/ref/tom_int_ref.html   (contents, props changed)
   sandbox/big_number/libs/multiprecision/doc/html/boost_multiprecision/tut/
   sandbox/big_number/libs/multiprecision/doc/html/boost_multiprecision/tut.html   (contents, props changed)
   sandbox/big_number/libs/multiprecision/doc/html/boost_multiprecision/tut/conversions.html   (contents, props changed)
   sandbox/big_number/libs/multiprecision/doc/html/boost_multiprecision/tut/floats/
   sandbox/big_number/libs/multiprecision/doc/html/boost_multiprecision/tut/floats.html   (contents, props changed)
   sandbox/big_number/libs/multiprecision/doc/html/boost_multiprecision/tut/floats/cpp_dec_float.html   (contents, props changed)
   sandbox/big_number/libs/multiprecision/doc/html/boost_multiprecision/tut/floats/gmp_float.html   (contents, props changed)
   sandbox/big_number/libs/multiprecision/doc/html/boost_multiprecision/tut/floats/mpfr_float.html   (contents, props changed)
   sandbox/big_number/libs/multiprecision/doc/html/boost_multiprecision/tut/ints/
   sandbox/big_number/libs/multiprecision/doc/html/boost_multiprecision/tut/ints.html   (contents, props changed)
   sandbox/big_number/libs/multiprecision/doc/html/boost_multiprecision/tut/ints/cpp_int.html   (contents, props changed)
   sandbox/big_number/libs/multiprecision/doc/html/boost_multiprecision/tut/ints/gmp_int.html   (contents, props changed)
   sandbox/big_number/libs/multiprecision/doc/html/boost_multiprecision/tut/ints/tom_int.html   (contents, props changed)
   sandbox/big_number/libs/multiprecision/doc/html/boost_multiprecision/tut/primetest.html   (contents, props changed)
   sandbox/big_number/libs/multiprecision/doc/html/boost_multiprecision/tut/random.html   (contents, props changed)
   sandbox/big_number/libs/multiprecision/doc/html/boost_multiprecision/tut/rational/
   sandbox/big_number/libs/multiprecision/doc/html/boost_multiprecision/tut/rational.html   (contents, props changed)
   sandbox/big_number/libs/multiprecision/doc/html/boost_multiprecision/tut/rational/br.html   (contents, props changed)
   sandbox/big_number/libs/multiprecision/doc/html/boost_multiprecision/tut/rational/cpp_rational.html   (contents, props changed)
   sandbox/big_number/libs/multiprecision/doc/html/boost_multiprecision/tut/rational/gmp_rational.html   (contents, props changed)
   sandbox/big_number/libs/multiprecision/doc/html/boost_multiprecision/tut/rational/rational_adapter.html   (contents, props changed)
   sandbox/big_number/libs/multiprecision/doc/html/boost_multiprecision/tut/rational/tommath_rational.html   (contents, props changed)
   sandbox/big_number/libs/multiprecision/doc/html/index.html   (contents, props changed)

Added: sandbox/big_number/libs/multiprecision/doc/html/boost_multiprecision/indexes.html
==============================================================================
--- (empty file)
+++ sandbox/big_number/libs/multiprecision/doc/html/boost_multiprecision/indexes.html	2012-03-30 14:35:38 EDT (Fri, 30 Mar 2012)
@@ -0,0 +1,40 @@
+<html>
+<head>
+<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
+<title>Indexes</title>
+<link rel="stylesheet" href="http://www.boost.org/doc/libs/release/doc/src/boostbook.css" type="text/css">
+<meta name="generator" content="DocBook XSL Stylesheets V1.76.1">
+<link rel="home" href="../index.html" title="Chapter&#160;1.&#160;Boost.Multiprecision">
+<link rel="up" href="../index.html" title="Chapter&#160;1.&#160;Boost.Multiprecision">
+<link rel="prev" href="map/ack.html" title="Acknowledgements">
+<link rel="next" href="indexes/s01.html" title="Function Index">
+</head>
+<body bgcolor="white" text="black" link="#0000FF" vlink="#840084" alink="#0000FF">
+<div class="spirit-nav">
+<a accesskey="p" href="map/ack.html"><img src="../images/prev.png" alt="Prev"></a><a accesskey="u" href="../index.html"><img src="../images/up.png" alt="Up"></a><a accesskey="h" href="../index.html"><img src="../images/home.png" alt="Home"></a><a accesskey="n" href="indexes/s01.html"><img src="../images/next.png" alt="Next"></a>
+</div>
+<div class="section boost_multiprecision_indexes">
+<div class="titlepage"><div><div><h2 class="title" style="clear: both">
+<a name="boost_multiprecision.indexes"></a><a class="link" href="indexes.html" title="Indexes">Indexes</a>
+</h2></div></div></div>
+<div class="toc"><dl>
+<dt><span class="section">Function Index</span></dt>
+<dt><span class="section">Class Index</span></dt>
+<dt><span class="section">Typedef Index</span></dt>
+<dt><span class="section">Index</span></dt>
+</dl></div>
+</div>
+<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
+<td align="left"></td>
+<td align="right"><div class="copyright-footer">Copyright &#169; 2002-2012 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 http://www.boost.org/LICENSE_1_0.txt)
+      </p>
+</div></td>
+</tr></table>
+<hr>
+<div class="spirit-nav">
+<a accesskey="p" href="map/ack.html"><img src="../images/prev.png" alt="Prev"></a><a accesskey="u" href="../index.html"><img src="../images/up.png" alt="Up"></a><a accesskey="h" href="../index.html"><img src="../images/home.png" alt="Home"></a><a accesskey="n" href="indexes/s01.html"><img src="../images/next.png" alt="Next"></a>
+</div>
+</body>
+</html>

Added: sandbox/big_number/libs/multiprecision/doc/html/boost_multiprecision/indexes/s01.html
==============================================================================
--- (empty file)
+++ sandbox/big_number/libs/multiprecision/doc/html/boost_multiprecision/indexes/s01.html	2012-03-30 14:35:38 EDT (Fri, 30 Mar 2012)
@@ -0,0 +1,237 @@
+<html>
+<head>
+<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
+<title>Function Index</title>
+<link rel="stylesheet" href="http://www.boost.org/doc/libs/release/doc/src/boostbook.css" type="text/css">
+<meta name="generator" content="DocBook XSL Stylesheets V1.76.1">
+<link rel="home" href="../../index.html" title="Chapter&#160;1.&#160;Boost.Multiprecision">
+<link rel="up" href="../indexes.html" title="Indexes">
+<link rel="prev" href="../indexes.html" title="Indexes">
+<link rel="next" href="s02.html" title="Class Index">
+</head>
+<body bgcolor="white" text="black" link="#0000FF" vlink="#840084" alink="#0000FF">
+<div class="spirit-nav">
+<a accesskey="p" href="../indexes.html"><img src="../../images/prev.png" alt="Prev"></a><a accesskey="u" href="../indexes.html"><img src="../../images/up.png" alt="Up"></a><a accesskey="h" href="../../index.html"><img src="../../images/home.png" alt="Home"></a><a accesskey="n" href="s02.html"><img src="../../images/next.png" alt="Next"></a>
+</div>
+<div class="section id1075119">
+<div class="titlepage"><div><div><h3 class="title">
+<a name="id1075119"></a>Function Index</h3></div></div></div>
+<p><a class="link" href="s01.html#idx_id_0">A</a> <a class="link" href="s01.html#idx_id_1">B</a> <a class="link" href="s01.html#idx_id_2">C</a> <a class="link" href="s01.html#idx_id_3">D</a> <a class="link" href="s01.html#idx_id_4">E</a> <a class="link" href="s01.html#idx_id_5">F</a> <a class="link" href="s01.html#idx_id_7">I</a> <a class="link" href="s01.html#idx_id_8">L</a> <a class="link" href="s01.html#idx_id_9">M</a> <a class="link" href="s01.html#idx_id_11">P</a> <a class="link" href="s01.html#idx_id_12">R</a> <a class="link" href="s01.html#idx_id_13">S</a> <a class="link" href="s01.html#idx_id_14">T</a> <a class="link" href="s01.html#idx_id_15">Z</a></p>
+<div class="variablelist"><dl>
+<dt>
+<a name="idx_id_0"></a><span class="term">A</span>
+</dt>
+<dd><div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">abs</span></p>
+<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../ref/mp_number.html" title="mp_number"><span class="index-entry-level-1">mp_number</span></a></p></li></ul></div>
+</li></ul></div></dd>
+<dt>
+<a name="idx_id_1"></a><span class="term">B</span>
+</dt>
+<dd><div class="index"><ul class="index" type="none" compact>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">backend</span></p>
+<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../ref/mp_number.html" title="mp_number"><span class="index-entry-level-1">mp_number</span></a></p></li></ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">bit_flip</span></p>
+<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../ref/mp_number.html" title="mp_number"><span class="index-entry-level-1">mp_number</span></a></p></li></ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">bit_set</span></p>
+<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../ref/mp_number.html" title="mp_number"><span class="index-entry-level-1">mp_number</span></a></p></li></ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">bit_test</span></p>
+<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../ref/mp_number.html" title="mp_number"><span class="index-entry-level-1">mp_number</span></a></p></li></ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">bit_unset</span></p>
+<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../ref/mp_number.html" title="mp_number"><span class="index-entry-level-1">mp_number</span></a></p></li></ul></div>
+</li>
+</ul></div></dd>
+<dt>
+<a name="idx_id_2"></a><span class="term">C</span>
+</dt>
+<dd><div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">compare</span></p>
+<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../ref/mp_number.html" title="mp_number"><span class="index-entry-level-1">mp_number</span></a></p></li></ul></div>
+</li></ul></div></dd>
+<dt>
+<a name="idx_id_3"></a><span class="term">D</span>
+</dt>
+<dd><div class="index"><ul class="index" type="none" compact>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">data</span></p>
+<div class="index"><ul class="index" type="none" compact>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../tut/floats/gmp_float.html" title="gmp_float"><span class="index-entry-level-1">gmp_float</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../tut/ints/gmp_int.html" title="gmp_int"><span class="index-entry-level-1">gmp_int</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../tut/rational/gmp_rational.html" title="gmp_rational"><span class="index-entry-level-1">gmp_rational</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../tut/floats/mpfr_float.html" title="mpfr_float"><span class="index-entry-level-1">mpfr_float</span></a></p></li>
+</ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">default_precision</span></p>
+<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../ref/mp_number.html" title="mp_number"><span class="index-entry-level-1">mp_number</span></a></p></li></ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">divide_qr</span></p>
+<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../ref/mp_number.html" title="mp_number"><span class="index-entry-level-1">mp_number</span></a></p></li></ul></div>
+</li>
+</ul></div></dd>
+<dt>
+<a name="idx_id_4"></a><span class="term">E</span>
+</dt>
+<dd><div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">eval_get_sign</span></p>
+<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../ref/backendconc.html#boost_multiprecision.ref.backendconc.optional_requirements_on_the_backend_type" title="Table&#160;1.5.&#160;Optional Requirements on the Backend Type"><span class="index-entry-level-1">Optional Requirements on the Backend Type</span></a></p></li></ul></div>
+</li></ul></div></dd>
+<dt>
+<a name="idx_id_5"></a><span class="term">F</span>
+</dt>
+<dd><div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">fpclassify</span></p>
+<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../ref/mp_number.html" title="mp_number"><span class="index-entry-level-1">mp_number</span></a></p></li></ul></div>
+</li></ul></div></dd>
+<dt>
+<a name="idx_id_7"></a><span class="term">I</span>
+</dt>
+<dd><div class="index"><ul class="index" type="none" compact>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">if</span></p>
+<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../tut/primetest.html" title="Primality Testing"><span class="index-entry-level-1">Primality Testing</span></a></p></li></ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">integer_modulus</span></p>
+<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../ref/mp_number.html" title="mp_number"><span class="index-entry-level-1">mp_number</span></a></p></li></ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">iround</span></p>
+<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../ref/mp_number.html" title="mp_number"><span class="index-entry-level-1">mp_number</span></a></p></li></ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">isfinite</span></p>
+<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../ref/mp_number.html" title="mp_number"><span class="index-entry-level-1">mp_number</span></a></p></li></ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">isinf</span></p>
+<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../ref/mp_number.html" title="mp_number"><span class="index-entry-level-1">mp_number</span></a></p></li></ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">isnan</span></p>
+<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../ref/mp_number.html" title="mp_number"><span class="index-entry-level-1">mp_number</span></a></p></li></ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">isnormal</span></p>
+<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../ref/mp_number.html" title="mp_number"><span class="index-entry-level-1">mp_number</span></a></p></li></ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">itrunc</span></p>
+<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../ref/mp_number.html" title="mp_number"><span class="index-entry-level-1">mp_number</span></a></p></li></ul></div>
+</li>
+</ul></div></dd>
+<dt>
+<a name="idx_id_8"></a><span class="term">L</span>
+</dt>
+<dd><div class="index"><ul class="index" type="none" compact>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">llround</span></p>
+<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../ref/mp_number.html" title="mp_number"><span class="index-entry-level-1">mp_number</span></a></p></li></ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">lltrunc</span></p>
+<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../ref/mp_number.html" title="mp_number"><span class="index-entry-level-1">mp_number</span></a></p></li></ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">lround</span></p>
+<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../ref/mp_number.html" title="mp_number"><span class="index-entry-level-1">mp_number</span></a></p></li></ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">lsb</span></p>
+<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../ref/mp_number.html" title="mp_number"><span class="index-entry-level-1">mp_number</span></a></p></li></ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">ltrunc</span></p>
+<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../ref/mp_number.html" title="mp_number"><span class="index-entry-level-1">mp_number</span></a></p></li></ul></div>
+</li>
+</ul></div></dd>
+<dt>
+<a name="idx_id_9"></a><span class="term">M</span>
+</dt>
+<dd><div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">miller_rabin_test</span></p>
+<div class="index"><ul class="index" type="none" compact>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../ref/mp_number.html" title="mp_number"><span class="index-entry-level-1">mp_number</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../tut/primetest.html" title="Primality Testing"><span class="index-entry-level-1">Primality Testing</span></a></p></li>
+</ul></div>
+</li></ul></div></dd>
+<dt>
+<a name="idx_id_11"></a><span class="term">P</span>
+</dt>
+<dd><div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">precision</span></p>
+<div class="index"><ul class="index" type="none" compact>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../intro.html" title="Introduction"><span class="index-entry-level-1">Introduction</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../ref/mp_number.html" title="mp_number"><span class="index-entry-level-1">mp_number</span></a></p></li>
+</ul></div>
+</li></ul></div></dd>
+<dt>
+<a name="idx_id_12"></a><span class="term">R</span>
+</dt>
+<dd><div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">round</span></p>
+<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../ref/mp_number.html" title="mp_number"><span class="index-entry-level-1">mp_number</span></a></p></li></ul></div>
+</li></ul></div></dd>
+<dt>
+<a name="idx_id_13"></a><span class="term">S</span>
+</dt>
+<dd><div class="index"><ul class="index" type="none" compact>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">sign</span></p>
+<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../ref/mp_number.html" title="mp_number"><span class="index-entry-level-1">mp_number</span></a></p></li></ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">str</span></p>
+<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../ref/mp_number.html" title="mp_number"><span class="index-entry-level-1">mp_number</span></a></p></li></ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">swap</span></p>
+<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../ref/mp_number.html" title="mp_number"><span class="index-entry-level-1">mp_number</span></a></p></li></ul></div>
+</li>
+</ul></div></dd>
+<dt>
+<a name="idx_id_14"></a><span class="term">T</span>
+</dt>
+<dd><div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">trunc</span></p>
+<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../ref/mp_number.html" title="mp_number"><span class="index-entry-level-1">mp_number</span></a></p></li></ul></div>
+</li></ul></div></dd>
+<dt>
+<a name="idx_id_15"></a><span class="term">Z</span>
+</dt>
+<dd><div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">zero</span></p>
+<div class="index"><ul class="index" type="none" compact>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../tut/floats/gmp_float.html" title="gmp_float"><span class="index-entry-level-1">gmp_float</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../tut/ints/gmp_int.html" title="gmp_int"><span class="index-entry-level-1">gmp_int</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../tut/rational/gmp_rational.html" title="gmp_rational"><span class="index-entry-level-1">gmp_rational</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../tut/rational/tommath_rational.html" title="tommath_rational"><span class="index-entry-level-1">tommath_rational</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../tut/ints/tom_int.html" title="tom_int"><span class="index-entry-level-1">tom_int</span></a></p></li>
+</ul></div>
+</li></ul></div></dd>
+</dl></div>
+</div>
+<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
+<td align="left"></td>
+<td align="right"><div class="copyright-footer">Copyright &#169; 2002-2012 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 http://www.boost.org/LICENSE_1_0.txt)
+      </p>
+</div></td>
+</tr></table>
+<hr>
+<div class="spirit-nav">
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+<html>
+<head>
+<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
+<title>Class Index</title>
+<link rel="stylesheet" href="http://www.boost.org/doc/libs/release/doc/src/boostbook.css" type="text/css">
+<meta name="generator" content="DocBook XSL Stylesheets V1.76.1">
+<link rel="home" href="../../index.html" title="Chapter&#160;1.&#160;Boost.Multiprecision">
+<link rel="up" href="../indexes.html" title="Indexes">
+<link rel="prev" href="s01.html" title="Function Index">
+<link rel="next" href="s03.html" title="Typedef Index">
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+</div>
+<div class="section id1076755">
+<div class="titlepage"><div><div><h3 class="title">
+<a name="id1076755"></a>Class Index</h3></div></div></div>
+<p><a class="link" href="s02.html#idx_id_25">M</a></p>
+<div class="variablelist"><dl>
+<dt>
+<a name="idx_id_25"></a><span class="term">M</span>
+</dt>
+<dd><div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">mp_number</span></p>
+<div class="index"><ul class="index" type="none" compact>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../intro.html" title="Introduction"><span class="index-entry-level-1">Introduction</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><span class="bold"><strong><a class="link" href="../ref/mp_number.html" title="mp_number"><span class="index-entry-level-1">mp_number</span></a></strong></span></p></li>
+</ul></div>
+</li></ul></div></dd>
+</dl></div>
+</div>
+<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
+<td align="left"></td>
+<td align="right"><div class="copyright-footer">Copyright &#169; 2002-2012 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 http://www.boost.org/LICENSE_1_0.txt)
+      </p>
+</div></td>
+</tr></table>
+<hr>
+<div class="spirit-nav">
+<a accesskey="p" href="s01.html"><img src="../../images/prev.png" alt="Prev"></a><a accesskey="u" href="../indexes.html"><img src="../../images/up.png" alt="Up"></a><a accesskey="h" href="../../index.html"><img src="../../images/home.png" alt="Home"></a><a accesskey="n" href="s03.html"><img src="../../images/next.png" alt="Next"></a>
+</div>
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+</html>

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+++ sandbox/big_number/libs/multiprecision/doc/html/boost_multiprecision/indexes/s03.html	2012-03-30 14:35:38 EDT (Fri, 30 Mar 2012)
@@ -0,0 +1,189 @@
+<html>
+<head>
+<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
+<title>Typedef Index</title>
+<link rel="stylesheet" href="http://www.boost.org/doc/libs/release/doc/src/boostbook.css" type="text/css">
+<meta name="generator" content="DocBook XSL Stylesheets V1.76.1">
+<link rel="home" href="../../index.html" title="Chapter&#160;1.&#160;Boost.Multiprecision">
+<link rel="up" href="../indexes.html" title="Indexes">
+<link rel="prev" href="s02.html" title="Class Index">
+<link rel="next" href="s04.html" title="Index">
+</head>
+<body bgcolor="white" text="black" link="#0000FF" vlink="#840084" alink="#0000FF">
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+</div>
+<div class="section id1076807">
+<div class="titlepage"><div><div><h3 class="title">
+<a name="id1076807"></a>Typedef Index</h3></div></div></div>
+<p><a class="link" href="s03.html#idx_id_34">C</a> <a class="link" href="s03.html#idx_id_39">I</a> <a class="link" href="s03.html#idx_id_40">L</a> <a class="link" href="s03.html#idx_id_41">M</a> <a class="link" href="s03.html#idx_id_46">T</a></p>
+<div class="variablelist"><dl>
+<dt>
+<a name="idx_id_34"></a><span class="term">C</span>
+</dt>
+<dd><div class="index"><ul class="index" type="none" compact>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">cpp_dec_float_100</span></p>
+<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../tut/floats/cpp_dec_float.html" title="cpp_dec_float"><span class="index-entry-level-1">cpp_dec_float</span></a></p></li></ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">cpp_dec_float_50</span></p>
+<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../tut/floats/cpp_dec_float.html" title="cpp_dec_float"><span class="index-entry-level-1">cpp_dec_float</span></a></p></li></ul></div>
+</li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../tut/ints/cpp_int.html" title="cpp_int"><span class="index-entry-level-0">cpp_int</span></a></p></li>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">cpp_rational</span></p>
+<div class="index"><ul class="index" type="none" compact>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../tut/ints/cpp_int.html" title="cpp_int"><span class="index-entry-level-1">cpp_int</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><span class="bold"><strong><a class="link" href="../tut/rational/cpp_rational.html" title="cpp_rational"><span class="index-entry-level-1">cpp_rational</span></a></strong></span></p></li>
+</ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">cpp_rational_backend</span></p>
+<div class="index"><ul class="index" type="none" compact>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../tut/ints/cpp_int.html" title="cpp_int"><span class="index-entry-level-1">cpp_int</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../tut/rational/cpp_rational.html" title="cpp_rational"><span class="index-entry-level-1">cpp_rational</span></a></p></li>
+</ul></div>
+</li>
+</ul></div></dd>
+<dt>
+<a name="idx_id_39"></a><span class="term">I</span>
+</dt>
+<dd><div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">int_type</span></p>
+<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../tut/primetest.html" title="Primality Testing"><span class="index-entry-level-1">Primality Testing</span></a></p></li></ul></div>
+</li></ul></div></dd>
+<dt>
+<a name="idx_id_40"></a><span class="term">L</span>
+</dt>
+<dd><div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">limb_type</span></p>
+<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../tut/ints/cpp_int.html" title="cpp_int"><span class="index-entry-level-1">cpp_int</span></a></p></li></ul></div>
+</li></ul></div></dd>
+<dt>
+<a name="idx_id_41"></a><span class="term">M</span>
+</dt>
+<dd><div class="index"><ul class="index" type="none" compact>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">mpfr_float</span></p>
+<div class="index"><ul class="index" type="none" compact>
+<li class="listitem" style="list-style-type: none"><p><span class="bold"><strong><a class="link" href="../tut/floats/mpfr_float.html" title="mpfr_float"><span class="index-entry-level-1">mpfr_float</span></a></strong></span></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../ref/mpfr_ref.html" title="mpfr_float_backend"><span class="index-entry-level-1">mpfr_float_backend</span></a></p></li>
+</ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">mpfr_float_100</span></p>
+<div class="index"><ul class="index" type="none" compact>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../tut/floats/mpfr_float.html" title="mpfr_float"><span class="index-entry-level-1">mpfr_float</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../ref/mpfr_ref.html" title="mpfr_float_backend"><span class="index-entry-level-1">mpfr_float_backend</span></a></p></li>
+</ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">mpfr_float_1000</span></p>
+<div class="index"><ul class="index" type="none" compact>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../tut/floats/mpfr_float.html" title="mpfr_float"><span class="index-entry-level-1">mpfr_float</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../ref/mpfr_ref.html" title="mpfr_float_backend"><span class="index-entry-level-1">mpfr_float_backend</span></a></p></li>
+</ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">mpfr_float_50</span></p>
+<div class="index"><ul class="index" type="none" compact>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../tut/floats/mpfr_float.html" title="mpfr_float"><span class="index-entry-level-1">mpfr_float</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../ref/mpfr_ref.html" title="mpfr_float_backend"><span class="index-entry-level-1">mpfr_float_backend</span></a></p></li>
+</ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">mpfr_float_500</span></p>
+<div class="index"><ul class="index" type="none" compact>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../tut/floats/mpfr_float.html" title="mpfr_float"><span class="index-entry-level-1">mpfr_float</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../ref/mpfr_ref.html" title="mpfr_float_backend"><span class="index-entry-level-1">mpfr_float_backend</span></a></p></li>
+</ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">mpf_float</span></p>
+<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../tut/floats/gmp_float.html" title="gmp_float"><span class="index-entry-level-1">gmp_float</span></a></p></li></ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">mpf_float_100</span></p>
+<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../tut/floats/gmp_float.html" title="gmp_float"><span class="index-entry-level-1">gmp_float</span></a></p></li></ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">mpf_float_1000</span></p>
+<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../tut/floats/gmp_float.html" title="gmp_float"><span class="index-entry-level-1">gmp_float</span></a></p></li></ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">mpf_float_50</span></p>
+<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../tut/floats/gmp_float.html" title="gmp_float"><span class="index-entry-level-1">gmp_float</span></a></p></li></ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">mpf_float_500</span></p>
+<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../tut/floats/gmp_float.html" title="gmp_float"><span class="index-entry-level-1">gmp_float</span></a></p></li></ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">mpq_rational</span></p>
+<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../tut/rational/gmp_rational.html" title="gmp_rational"><span class="index-entry-level-1">gmp_rational</span></a></p></li></ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">mpz_int</span></p>
+<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../tut/ints/gmp_int.html" title="gmp_int"><span class="index-entry-level-1">gmp_int</span></a></p></li></ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">mp_int1024_t</span></p>
+<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../tut/ints/cpp_int.html" title="cpp_int"><span class="index-entry-level-1">cpp_int</span></a></p></li></ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">mp_int128_t</span></p>
+<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../tut/ints/cpp_int.html" title="cpp_int"><span class="index-entry-level-1">cpp_int</span></a></p></li></ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">mp_int256_t</span></p>
+<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../tut/ints/cpp_int.html" title="cpp_int"><span class="index-entry-level-1">cpp_int</span></a></p></li></ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">mp_int512_t</span></p>
+<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../tut/ints/cpp_int.html" title="cpp_int"><span class="index-entry-level-1">cpp_int</span></a></p></li></ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">mp_uint1024_t</span></p>
+<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../tut/ints/cpp_int.html" title="cpp_int"><span class="index-entry-level-1">cpp_int</span></a></p></li></ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">mp_uint128_t</span></p>
+<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../tut/ints/cpp_int.html" title="cpp_int"><span class="index-entry-level-1">cpp_int</span></a></p></li></ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">mp_uint256_t</span></p>
+<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../tut/ints/cpp_int.html" title="cpp_int"><span class="index-entry-level-1">cpp_int</span></a></p></li></ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">mp_uint512_t</span></p>
+<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../tut/ints/cpp_int.html" title="cpp_int"><span class="index-entry-level-1">cpp_int</span></a></p></li></ul></div>
+</li>
+</ul></div></dd>
+<dt>
+<a name="idx_id_46"></a><span class="term">T</span>
+</dt>
+<dd><div class="index"><ul class="index" type="none" compact>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../tut/rational/tommath_rational.html" title="tommath_rational"><span class="index-entry-level-0">tommath_rational</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../tut/ints/tom_int.html" title="tom_int"><span class="index-entry-level-0">tom_int</span></a></p></li>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">tom_rational</span></p>
+<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../tut/rational/tommath_rational.html" title="tommath_rational"><span class="index-entry-level-1">tommath_rational</span></a></p></li></ul></div>
+</li>
+</ul></div></dd>
+</dl></div>
+</div>
+<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
+<td align="left"></td>
+<td align="right"><div class="copyright-footer">Copyright &#169; 2002-2012 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 http://www.boost.org/LICENSE_1_0.txt)
+      </p>
+</div></td>
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+<p><a class="link" href="s04.html#idx_id_48">A</a> <a class="link" href="s04.html#idx_id_49">B</a> <a class="link" href="s04.html#idx_id_50">C</a> <a class="link" href="s04.html#idx_id_51">D</a> <a class="link" href="s04.html#idx_id_52">E</a> <a class="link" href="s04.html#idx_id_53">F</a> <a class="link" href="s04.html#idx_id_54">G</a> <a class="link" href="s04.html#idx_id_55">I</a> <a class="link" href="s04.html#idx_id_56">L</a> <a class="link" href="s04.html#idx_id_57">M</a> <a class="link" href="s04.html#idx_id_58">O</a> <a class="link" href="s04.html#idx_id_59">P</a> <a class="link" href="s04.html#idx_id_60">R</a> <a class="link" href="s04.html#idx_id_61">S</a> <a class="link" href="s04.html#idx_id_62">T</a> <a class="link" href="s04.html#idx_id_63">Z</a></p>
+<div class="variablelist"><dl>
+<dt>
+<a name="idx_id_48"></a><span class="term">A</span>
+</dt>
+<dd><div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">abs</span></p>
+<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../ref/mp_number.html" title="mp_number"><span class="index-entry-level-1">mp_number</span></a></p></li></ul></div>
+</li></ul></div></dd>
+<dt>
+<a name="idx_id_49"></a><span class="term">B</span>
+</dt>
+<dd><div class="index"><ul class="index" type="none" compact>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">backend</span></p>
+<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../ref/mp_number.html" title="mp_number"><span class="index-entry-level-1">mp_number</span></a></p></li></ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">bit_flip</span></p>
+<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../ref/mp_number.html" title="mp_number"><span class="index-entry-level-1">mp_number</span></a></p></li></ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">bit_set</span></p>
+<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../ref/mp_number.html" title="mp_number"><span class="index-entry-level-1">mp_number</span></a></p></li></ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">bit_test</span></p>
+<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../ref/mp_number.html" title="mp_number"><span class="index-entry-level-1">mp_number</span></a></p></li></ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">bit_unset</span></p>
+<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../ref/mp_number.html" title="mp_number"><span class="index-entry-level-1">mp_number</span></a></p></li></ul></div>
+</li>
+</ul></div></dd>
+<dt>
+<a name="idx_id_50"></a><span class="term">C</span>
+</dt>
+<dd><div class="index"><ul class="index" type="none" compact>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">compare</span></p>
+<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../ref/mp_number.html" title="mp_number"><span class="index-entry-level-1">mp_number</span></a></p></li></ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">cpp_dec_float</span></p>
+<div class="index"><ul class="index" type="none" compact>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../tut/floats/cpp_dec_float.html" title="cpp_dec_float"><span class="index-entry-level-1">cpp_dec_float_100</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../tut/floats/cpp_dec_float.html" title="cpp_dec_float"><span class="index-entry-level-1">cpp_dec_float_50</span></a></p></li>
+</ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">cpp_dec_float_100</span></p>
+<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../tut/floats/cpp_dec_float.html" title="cpp_dec_float"><span class="index-entry-level-1">cpp_dec_float</span></a></p></li></ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">cpp_dec_float_50</span></p>
+<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../tut/floats/cpp_dec_float.html" title="cpp_dec_float"><span class="index-entry-level-1">cpp_dec_float</span></a></p></li></ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">cpp_int</span></p>
+<div class="index"><ul class="index" type="none" compact>
+<li class="listitem" style="list-style-type: none"><p><span class="bold"><strong><a class="link" href="../tut/ints/cpp_int.html" title="cpp_int"><span class="index-entry-level-1">cpp_int</span></a></strong></span></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../tut/ints/cpp_int.html" title="cpp_int"><span class="index-entry-level-1">cpp_rational</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../tut/ints/cpp_int.html" title="cpp_int"><span class="index-entry-level-1">cpp_rational_backend</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../tut/ints/cpp_int.html" title="cpp_int"><span class="index-entry-level-1">limb_type</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../tut/ints/cpp_int.html" title="cpp_int"><span class="index-entry-level-1">mp_int1024_t</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../tut/ints/cpp_int.html" title="cpp_int"><span class="index-entry-level-1">mp_int128_t</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../tut/ints/cpp_int.html" title="cpp_int"><span class="index-entry-level-1">mp_int256_t</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../tut/ints/cpp_int.html" title="cpp_int"><span class="index-entry-level-1">mp_int512_t</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../tut/ints/cpp_int.html" title="cpp_int"><span class="index-entry-level-1">mp_uint1024_t</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../tut/ints/cpp_int.html" title="cpp_int"><span class="index-entry-level-1">mp_uint128_t</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../tut/ints/cpp_int.html" title="cpp_int"><span class="index-entry-level-1">mp_uint256_t</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../tut/ints/cpp_int.html" title="cpp_int"><span class="index-entry-level-1">mp_uint512_t</span></a></p></li>
+</ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">cpp_rational</span></p>
+<div class="index"><ul class="index" type="none" compact>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../tut/ints/cpp_int.html" title="cpp_int"><span class="index-entry-level-1">cpp_int</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><span class="bold"><strong><a class="link" href="../tut/rational/cpp_rational.html" title="cpp_rational"><span class="index-entry-level-1">cpp_rational</span></a></strong></span></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../tut/rational/cpp_rational.html" title="cpp_rational"><span class="index-entry-level-1">cpp_rational_backend</span></a></p></li>
+</ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">cpp_rational_backend</span></p>
+<div class="index"><ul class="index" type="none" compact>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../tut/ints/cpp_int.html" title="cpp_int"><span class="index-entry-level-1">cpp_int</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../tut/rational/cpp_rational.html" title="cpp_rational"><span class="index-entry-level-1">cpp_rational</span></a></p></li>
+</ul></div>
+</li>
+</ul></div></dd>
+<dt>
+<a name="idx_id_51"></a><span class="term">D</span>
+</dt>
+<dd><div class="index"><ul class="index" type="none" compact>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">data</span></p>
+<div class="index"><ul class="index" type="none" compact>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../tut/floats/gmp_float.html" title="gmp_float"><span class="index-entry-level-1">gmp_float</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../tut/ints/gmp_int.html" title="gmp_int"><span class="index-entry-level-1">gmp_int</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../tut/rational/gmp_rational.html" title="gmp_rational"><span class="index-entry-level-1">gmp_rational</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../tut/floats/mpfr_float.html" title="mpfr_float"><span class="index-entry-level-1">mpfr_float</span></a></p></li>
+</ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">default_precision</span></p>
+<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../ref/mp_number.html" title="mp_number"><span class="index-entry-level-1">mp_number</span></a></p></li></ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">divide_qr</span></p>
+<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../ref/mp_number.html" title="mp_number"><span class="index-entry-level-1">mp_number</span></a></p></li></ul></div>
+</li>
+</ul></div></dd>
+<dt>
+<a name="idx_id_52"></a><span class="term">E</span>
+</dt>
+<dd><div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">eval_get_sign</span></p>
+<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../ref/backendconc.html#boost_multiprecision.ref.backendconc.optional_requirements_on_the_backend_type" title="Table&#160;1.5.&#160;Optional Requirements on the Backend Type"><span class="index-entry-level-1">Optional Requirements on the Backend Type</span></a></p></li></ul></div>
+</li></ul></div></dd>
+<dt>
+<a name="idx_id_53"></a><span class="term">F</span>
+</dt>
+<dd><div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">fpclassify</span></p>
+<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../ref/mp_number.html" title="mp_number"><span class="index-entry-level-1">mp_number</span></a></p></li></ul></div>
+</li></ul></div></dd>
+<dt>
+<a name="idx_id_54"></a><span class="term">G</span>
+</dt>
+<dd><div class="index"><ul class="index" type="none" compact>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">gmp_float</span></p>
+<div class="index"><ul class="index" type="none" compact>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../tut/floats/gmp_float.html" title="gmp_float"><span class="index-entry-level-1">data</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../tut/floats/gmp_float.html" title="gmp_float"><span class="index-entry-level-1">mpf_float</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../tut/floats/gmp_float.html" title="gmp_float"><span class="index-entry-level-1">mpf_float_100</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../tut/floats/gmp_float.html" title="gmp_float"><span class="index-entry-level-1">mpf_float_1000</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../tut/floats/gmp_float.html" title="gmp_float"><span class="index-entry-level-1">mpf_float_50</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../tut/floats/gmp_float.html" title="gmp_float"><span class="index-entry-level-1">mpf_float_500</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../tut/floats/gmp_float.html" title="gmp_float"><span class="index-entry-level-1">zero</span></a></p></li>
+</ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">gmp_int</span></p>
+<div class="index"><ul class="index" type="none" compact>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../tut/ints/gmp_int.html" title="gmp_int"><span class="index-entry-level-1">data</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../tut/ints/gmp_int.html" title="gmp_int"><span class="index-entry-level-1">mpz_int</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../tut/ints/gmp_int.html" title="gmp_int"><span class="index-entry-level-1">zero</span></a></p></li>
+</ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">gmp_rational</span></p>
+<div class="index"><ul class="index" type="none" compact>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../tut/rational/gmp_rational.html" title="gmp_rational"><span class="index-entry-level-1">data</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../tut/rational/gmp_rational.html" title="gmp_rational"><span class="index-entry-level-1">mpq_rational</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../tut/rational/gmp_rational.html" title="gmp_rational"><span class="index-entry-level-1">zero</span></a></p></li>
+</ul></div>
+</li>
+</ul></div></dd>
+<dt>
+<a name="idx_id_55"></a><span class="term">I</span>
+</dt>
+<dd><div class="index"><ul class="index" type="none" compact>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">if</span></p>
+<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../tut/primetest.html" title="Primality Testing"><span class="index-entry-level-1">Primality Testing</span></a></p></li></ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">integer_modulus</span></p>
+<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../ref/mp_number.html" title="mp_number"><span class="index-entry-level-1">mp_number</span></a></p></li></ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">Introduction</span></p>
+<div class="index"><ul class="index" type="none" compact>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../intro.html" title="Introduction"><span class="index-entry-level-1">mp_number</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../intro.html" title="Introduction"><span class="index-entry-level-1">precision</span></a></p></li>
+</ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">int_type</span></p>
+<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../tut/primetest.html" title="Primality Testing"><span class="index-entry-level-1">Primality Testing</span></a></p></li></ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">iround</span></p>
+<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../ref/mp_number.html" title="mp_number"><span class="index-entry-level-1">mp_number</span></a></p></li></ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">isfinite</span></p>
+<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../ref/mp_number.html" title="mp_number"><span class="index-entry-level-1">mp_number</span></a></p></li></ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">isinf</span></p>
+<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../ref/mp_number.html" title="mp_number"><span class="index-entry-level-1">mp_number</span></a></p></li></ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">isnan</span></p>
+<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../ref/mp_number.html" title="mp_number"><span class="index-entry-level-1">mp_number</span></a></p></li></ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">isnormal</span></p>
+<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../ref/mp_number.html" title="mp_number"><span class="index-entry-level-1">mp_number</span></a></p></li></ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">itrunc</span></p>
+<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../ref/mp_number.html" title="mp_number"><span class="index-entry-level-1">mp_number</span></a></p></li></ul></div>
+</li>
+</ul></div></dd>
+<dt>
+<a name="idx_id_56"></a><span class="term">L</span>
+</dt>
+<dd><div class="index"><ul class="index" type="none" compact>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">limb_type</span></p>
+<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../tut/ints/cpp_int.html" title="cpp_int"><span class="index-entry-level-1">cpp_int</span></a></p></li></ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">llround</span></p>
+<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../ref/mp_number.html" title="mp_number"><span class="index-entry-level-1">mp_number</span></a></p></li></ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">lltrunc</span></p>
+<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../ref/mp_number.html" title="mp_number"><span class="index-entry-level-1">mp_number</span></a></p></li></ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">lround</span></p>
+<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../ref/mp_number.html" title="mp_number"><span class="index-entry-level-1">mp_number</span></a></p></li></ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">lsb</span></p>
+<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../ref/mp_number.html" title="mp_number"><span class="index-entry-level-1">mp_number</span></a></p></li></ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">ltrunc</span></p>
+<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../ref/mp_number.html" title="mp_number"><span class="index-entry-level-1">mp_number</span></a></p></li></ul></div>
+</li>
+</ul></div></dd>
+<dt>
+<a name="idx_id_57"></a><span class="term">M</span>
+</dt>
+<dd><div class="index"><ul class="index" type="none" compact>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">miller_rabin_test</span></p>
+<div class="index"><ul class="index" type="none" compact>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../ref/mp_number.html" title="mp_number"><span class="index-entry-level-1">mp_number</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../tut/primetest.html" title="Primality Testing"><span class="index-entry-level-1">Primality Testing</span></a></p></li>
+</ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">mpfr_float</span></p>
+<div class="index"><ul class="index" type="none" compact>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../tut/floats/mpfr_float.html" title="mpfr_float"><span class="index-entry-level-1">data</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><span class="bold"><strong><a class="link" href="../tut/floats/mpfr_float.html" title="mpfr_float"><span class="index-entry-level-1">mpfr_float</span></a></strong></span></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../tut/floats/mpfr_float.html" title="mpfr_float"><span class="index-entry-level-1">mpfr_float_100</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../tut/floats/mpfr_float.html" title="mpfr_float"><span class="index-entry-level-1">mpfr_float_1000</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../tut/floats/mpfr_float.html" title="mpfr_float"><span class="index-entry-level-1">mpfr_float_50</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../tut/floats/mpfr_float.html" title="mpfr_float"><span class="index-entry-level-1">mpfr_float_500</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../ref/mpfr_ref.html" title="mpfr_float_backend"><span class="index-entry-level-1">mpfr_float_backend</span></a></p></li>
+</ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">mpfr_float_100</span></p>
+<div class="index"><ul class="index" type="none" compact>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../tut/floats/mpfr_float.html" title="mpfr_float"><span class="index-entry-level-1">mpfr_float</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../ref/mpfr_ref.html" title="mpfr_float_backend"><span class="index-entry-level-1">mpfr_float_backend</span></a></p></li>
+</ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">mpfr_float_1000</span></p>
+<div class="index"><ul class="index" type="none" compact>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../tut/floats/mpfr_float.html" title="mpfr_float"><span class="index-entry-level-1">mpfr_float</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../ref/mpfr_ref.html" title="mpfr_float_backend"><span class="index-entry-level-1">mpfr_float_backend</span></a></p></li>
+</ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">mpfr_float_50</span></p>
+<div class="index"><ul class="index" type="none" compact>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../tut/floats/mpfr_float.html" title="mpfr_float"><span class="index-entry-level-1">mpfr_float</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../ref/mpfr_ref.html" title="mpfr_float_backend"><span class="index-entry-level-1">mpfr_float_backend</span></a></p></li>
+</ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">mpfr_float_500</span></p>
+<div class="index"><ul class="index" type="none" compact>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../tut/floats/mpfr_float.html" title="mpfr_float"><span class="index-entry-level-1">mpfr_float</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../ref/mpfr_ref.html" title="mpfr_float_backend"><span class="index-entry-level-1">mpfr_float_backend</span></a></p></li>
+</ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">mpfr_float_backend</span></p>
+<div class="index"><ul class="index" type="none" compact>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../ref/mpfr_ref.html" title="mpfr_float_backend"><span class="index-entry-level-1">mpfr_float</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../ref/mpfr_ref.html" title="mpfr_float_backend"><span class="index-entry-level-1">mpfr_float_100</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../ref/mpfr_ref.html" title="mpfr_float_backend"><span class="index-entry-level-1">mpfr_float_1000</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../ref/mpfr_ref.html" title="mpfr_float_backend"><span class="index-entry-level-1">mpfr_float_50</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../ref/mpfr_ref.html" title="mpfr_float_backend"><span class="index-entry-level-1">mpfr_float_500</span></a></p></li>
+</ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">mpf_float</span></p>
+<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../tut/floats/gmp_float.html" title="gmp_float"><span class="index-entry-level-1">gmp_float</span></a></p></li></ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">mpf_float_100</span></p>
+<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../tut/floats/gmp_float.html" title="gmp_float"><span class="index-entry-level-1">gmp_float</span></a></p></li></ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">mpf_float_1000</span></p>
+<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../tut/floats/gmp_float.html" title="gmp_float"><span class="index-entry-level-1">gmp_float</span></a></p></li></ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">mpf_float_50</span></p>
+<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../tut/floats/gmp_float.html" title="gmp_float"><span class="index-entry-level-1">gmp_float</span></a></p></li></ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">mpf_float_500</span></p>
+<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../tut/floats/gmp_float.html" title="gmp_float"><span class="index-entry-level-1">gmp_float</span></a></p></li></ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">mpq_rational</span></p>
+<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../tut/rational/gmp_rational.html" title="gmp_rational"><span class="index-entry-level-1">gmp_rational</span></a></p></li></ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">mpz_int</span></p>
+<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../tut/ints/gmp_int.html" title="gmp_int"><span class="index-entry-level-1">gmp_int</span></a></p></li></ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">mp_int1024_t</span></p>
+<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../tut/ints/cpp_int.html" title="cpp_int"><span class="index-entry-level-1">cpp_int</span></a></p></li></ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">mp_int128_t</span></p>
+<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../tut/ints/cpp_int.html" title="cpp_int"><span class="index-entry-level-1">cpp_int</span></a></p></li></ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">mp_int256_t</span></p>
+<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../tut/ints/cpp_int.html" title="cpp_int"><span class="index-entry-level-1">cpp_int</span></a></p></li></ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">mp_int512_t</span></p>
+<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../tut/ints/cpp_int.html" title="cpp_int"><span class="index-entry-level-1">cpp_int</span></a></p></li></ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">mp_number</span></p>
+<div class="index"><ul class="index" type="none" compact>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../ref/mp_number.html" title="mp_number"><span class="index-entry-level-1">abs</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../ref/mp_number.html" title="mp_number"><span class="index-entry-level-1">backend</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../ref/mp_number.html" title="mp_number"><span class="index-entry-level-1">bit_flip</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../ref/mp_number.html" title="mp_number"><span class="index-entry-level-1">bit_set</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../ref/mp_number.html" title="mp_number"><span class="index-entry-level-1">bit_test</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../ref/mp_number.html" title="mp_number"><span class="index-entry-level-1">bit_unset</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../ref/mp_number.html" title="mp_number"><span class="index-entry-level-1">compare</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../ref/mp_number.html" title="mp_number"><span class="index-entry-level-1">default_precision</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../ref/mp_number.html" title="mp_number"><span class="index-entry-level-1">divide_qr</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../ref/mp_number.html" title="mp_number"><span class="index-entry-level-1">fpclassify</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../ref/mp_number.html" title="mp_number"><span class="index-entry-level-1">integer_modulus</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../intro.html" title="Introduction"><span class="index-entry-level-1">Introduction</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../ref/mp_number.html" title="mp_number"><span class="index-entry-level-1">iround</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../ref/mp_number.html" title="mp_number"><span class="index-entry-level-1">isfinite</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../ref/mp_number.html" title="mp_number"><span class="index-entry-level-1">isinf</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../ref/mp_number.html" title="mp_number"><span class="index-entry-level-1">isnan</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../ref/mp_number.html" title="mp_number"><span class="index-entry-level-1">isnormal</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../ref/mp_number.html" title="mp_number"><span class="index-entry-level-1">itrunc</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../ref/mp_number.html" title="mp_number"><span class="index-entry-level-1">llround</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../ref/mp_number.html" title="mp_number"><span class="index-entry-level-1">lltrunc</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../ref/mp_number.html" title="mp_number"><span class="index-entry-level-1">lround</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../ref/mp_number.html" title="mp_number"><span class="index-entry-level-1">lsb</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../ref/mp_number.html" title="mp_number"><span class="index-entry-level-1">ltrunc</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../ref/mp_number.html" title="mp_number"><span class="index-entry-level-1">miller_rabin_test</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><span class="bold"><strong><a class="link" href="../ref/mp_number.html" title="mp_number"><span class="index-entry-level-1">mp_number</span></a></strong></span></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../ref/mp_number.html" title="mp_number"><span class="index-entry-level-1">precision</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../ref/mp_number.html" title="mp_number"><span class="index-entry-level-1">round</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../ref/mp_number.html" title="mp_number"><span class="index-entry-level-1">sign</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../ref/mp_number.html" title="mp_number"><span class="index-entry-level-1">str</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../ref/mp_number.html" title="mp_number"><span class="index-entry-level-1">swap</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../ref/mp_number.html" title="mp_number"><span class="index-entry-level-1">trunc</span></a></p></li>
+</ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">mp_uint1024_t</span></p>
+<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../tut/ints/cpp_int.html" title="cpp_int"><span class="index-entry-level-1">cpp_int</span></a></p></li></ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">mp_uint128_t</span></p>
+<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../tut/ints/cpp_int.html" title="cpp_int"><span class="index-entry-level-1">cpp_int</span></a></p></li></ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">mp_uint256_t</span></p>
+<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../tut/ints/cpp_int.html" title="cpp_int"><span class="index-entry-level-1">cpp_int</span></a></p></li></ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">mp_uint512_t</span></p>
+<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../tut/ints/cpp_int.html" title="cpp_int"><span class="index-entry-level-1">cpp_int</span></a></p></li></ul></div>
+</li>
+</ul></div></dd>
+<dt>
+<a name="idx_id_58"></a><span class="term">O</span>
+</dt>
+<dd><div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">Optional Requirements on the Backend Type</span></p>
+<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../ref/backendconc.html#boost_multiprecision.ref.backendconc.optional_requirements_on_the_backend_type" title="Table&#160;1.5.&#160;Optional Requirements on the Backend Type"><span class="index-entry-level-1">eval_get_sign</span></a></p></li></ul></div>
+</li></ul></div></dd>
+<dt>
+<a name="idx_id_59"></a><span class="term">P</span>
+</dt>
+<dd><div class="index"><ul class="index" type="none" compact>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">precision</span></p>
+<div class="index"><ul class="index" type="none" compact>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../intro.html" title="Introduction"><span class="index-entry-level-1">Introduction</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../ref/mp_number.html" title="mp_number"><span class="index-entry-level-1">mp_number</span></a></p></li>
+</ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">Primality Testing</span></p>
+<div class="index"><ul class="index" type="none" compact>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../tut/primetest.html" title="Primality Testing"><span class="index-entry-level-1">if</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../tut/primetest.html" title="Primality Testing"><span class="index-entry-level-1">int_type</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../tut/primetest.html" title="Primality Testing"><span class="index-entry-level-1">miller_rabin_test</span></a></p></li>
+</ul></div>
+</li>
+</ul></div></dd>
+<dt>
+<a name="idx_id_60"></a><span class="term">R</span>
+</dt>
+<dd><div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">round</span></p>
+<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../ref/mp_number.html" title="mp_number"><span class="index-entry-level-1">mp_number</span></a></p></li></ul></div>
+</li></ul></div></dd>
+<dt>
+<a name="idx_id_61"></a><span class="term">S</span>
+</dt>
+<dd><div class="index"><ul class="index" type="none" compact>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">sign</span></p>
+<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../ref/mp_number.html" title="mp_number"><span class="index-entry-level-1">mp_number</span></a></p></li></ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">str</span></p>
+<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../ref/mp_number.html" title="mp_number"><span class="index-entry-level-1">mp_number</span></a></p></li></ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">swap</span></p>
+<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../ref/mp_number.html" title="mp_number"><span class="index-entry-level-1">mp_number</span></a></p></li></ul></div>
+</li>
+</ul></div></dd>
+<dt>
+<a name="idx_id_62"></a><span class="term">T</span>
+</dt>
+<dd><div class="index"><ul class="index" type="none" compact>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">tommath_rational</span></p>
+<div class="index"><ul class="index" type="none" compact>
+<li class="listitem" style="list-style-type: none"><p><span class="bold"><strong><a class="link" href="../tut/rational/tommath_rational.html" title="tommath_rational"><span class="index-entry-level-1">tommath_rational</span></a></strong></span></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../tut/rational/tommath_rational.html" title="tommath_rational"><span class="index-entry-level-1">tom_rational</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../tut/rational/tommath_rational.html" title="tommath_rational"><span class="index-entry-level-1">zero</span></a></p></li>
+</ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">tom_int</span></p>
+<div class="index"><ul class="index" type="none" compact>
+<li class="listitem" style="list-style-type: none"><p><span class="bold"><strong><a class="link" href="../tut/ints/tom_int.html" title="tom_int"><span class="index-entry-level-1">tom_int</span></a></strong></span></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../tut/ints/tom_int.html" title="tom_int"><span class="index-entry-level-1">zero</span></a></p></li>
+</ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">tom_rational</span></p>
+<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../tut/rational/tommath_rational.html" title="tommath_rational"><span class="index-entry-level-1">tommath_rational</span></a></p></li></ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">trunc</span></p>
+<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../ref/mp_number.html" title="mp_number"><span class="index-entry-level-1">mp_number</span></a></p></li></ul></div>
+</li>
+</ul></div></dd>
+<dt>
+<a name="idx_id_63"></a><span class="term">Z</span>
+</dt>
+<dd><div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">zero</span></p>
+<div class="index"><ul class="index" type="none" compact>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../tut/floats/gmp_float.html" title="gmp_float"><span class="index-entry-level-1">gmp_float</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../tut/ints/gmp_int.html" title="gmp_int"><span class="index-entry-level-1">gmp_int</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../tut/rational/gmp_rational.html" title="gmp_rational"><span class="index-entry-level-1">gmp_rational</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../tut/rational/tommath_rational.html" title="tommath_rational"><span class="index-entry-level-1">tommath_rational</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../tut/ints/tom_int.html" title="tom_int"><span class="index-entry-level-1">tom_int</span></a></p></li>
+</ul></div>
+</li></ul></div></dd>
+</dl></div>
+</div>
+<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
+<td align="left"></td>
+<td align="right"><div class="copyright-footer">Copyright &#169; 2002-2012 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 http://www.boost.org/LICENSE_1_0.txt)
+      </p>
+</div></td>
+</tr></table>
+<hr>
+<div class="spirit-nav">
+<a accesskey="p" href="s03.html"><img src="../../images/prev.png" alt="Prev"></a><a accesskey="u" href="../indexes.html"><img src="../../images/up.png" alt="Up"></a><a accesskey="h" href="../../index.html"><img src="../../images/home.png" alt="Home"></a>
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+</body>
+</html>

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@@ -0,0 +1,522 @@
+<html>
+<head>
+<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
+<title>Introduction</title>
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+<meta name="generator" content="DocBook XSL Stylesheets V1.76.1">
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+</div>
+<div class="section boost_multiprecision_intro">
+<div class="titlepage"><div><div><h2 class="title" style="clear: both">
+<a name="boost_multiprecision.intro"></a><a class="link" href="intro.html" title="Introduction">Introduction</a>
+</h2></div></div></div>
+<p>
+      The Multiprecision Library provides <span class="emphasis"><em>User-defined</em></span> integer,
+      rational and floating-point C++ types which try to emulate as closely as practicable
+      the C++ built-in types, but provide for more range and precision. Depending
+      upon the number type, precision may be arbitrarily large (limited only by available
+      memory), fixed at compile time values, for example 50 decimal digits, or a
+      variable controlled at run-time by member functions. The types are expression-template-enabled
+      for better performance than naive user-defined types.
+    </p>
+<p>
+      The Multiprecision library comes in two distinct parts:
+    </p>
+<div class="itemizedlist"><ul class="itemizedlist" type="disc">
+<li class="listitem">
+          An expression-template-enabled front-end <code class="computeroutput"><span class="identifier">mp_number</span></code>
+          that handles all the operator overloading, expression evaluation optimization,
+          and code reduction.
+        </li>
+<li class="listitem">
+          A selection of back-ends that implement the actual arithmetic operations,
+          and need conform only to the reduced interface requirements of the front-end.
+        </li>
+</ul></div>
+<p>
+      Separation of front-end and back-end allows use of highly refined, but restricted
+      license libraries where possible, but provides Boost license alternatives for
+      users who must have a portable unconstrained license. Which is to say some
+      back-ends rely on 3rd party libraries, but a header-only Boost license version
+      is always available (if somewhat slower).
+    </p>
+<p>
+      The library is often used via one of the predefined typedefs: for example if
+      you wanted an <a href="http://en.wikipedia.org/wiki/Arbitrary-precision_arithmetic" target="_top">arbitrary
+      precision</a> integer type using GMP
+      as the underlying implementation then you could use:
+    </p>
+<pre class="programlisting"><span class="preprocessor">#include</span> <span class="special">&lt;</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">multiprecision</span><span class="special">/</span><span class="identifier">gmp</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">&gt;</span>  <span class="comment">// Defines the wrappers around the GMP library's types</span>
+
+<span class="identifier">boost</span><span class="special">::</span><span class="identifier">multiprecision</span><span class="special">::</span><span class="identifier">mpz_int</span> <span class="identifier">myint</span><span class="special">;</span>    <span class="comment">// Arbitrary precision integer type.</span>
+</pre>
+<p>
+      Alternatively, you can compose your own multiprecision type, by combining
+      <code class="computeroutput"><span class="identifier">mp_number</span></code> with one of the predefined
+      back-end types. For example, suppose you wanted a 300 decimal digit floating-point
+      type based on the MPFR library. In
+      this case, there's no predefined typedef with that level of precision, so instead
+      we compose our own:
+    </p>
+<pre class="programlisting"><span class="preprocessor">#include</span> <span class="special">&lt;</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">multiprecision</span><span class="special">/</span><span class="identifier">mpfr</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">&gt;</span>  <span class="comment">// Defines the Backend type that wraps MPFR</span>
+
+<span class="keyword">namespace</span> <span class="identifier">mp</span> <span class="special">=</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">multiprecision</span><span class="special">;</span>     <span class="comment">// Reduce the typing a bit later...</span>
+
+<span class="keyword">typedef</span> <span class="identifier">mp</span><span class="special">::</span><span class="identifier">mp_number</span><span class="special">&lt;</span><span class="identifier">mp</span><span class="special">::</span><span class="identifier">mpfr_float_backend</span><span class="special">&lt;</span><span class="number">300</span><span class="special">&gt;</span> <span class="special">&gt;</span>  <span class="identifier">my_float</span><span class="special">;</span>
+
+<span class="identifier">my_float</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">b</span><span class="special">,</span> <span class="identifier">c</span><span class="special">;</span> <span class="comment">// These variables have 300 decimal digits precision</span>
+</pre>
+<p>
+      We can repeat the above example, but with the expression templates disabled
+      (for faster compile times, but slower runtimes) by passing a second template
+      argument to <code class="computeroutput"><span class="identifier">mp_number</span></code>:
+    </p>
+<pre class="programlisting"><span class="preprocessor">#include</span> <span class="special">&lt;</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">multiprecision</span><span class="special">/</span><span class="identifier">mpfr</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">&gt;</span>  <span class="comment">// Defines the Backend type that wraps MPFR</span>
+
+<span class="keyword">namespace</span> <span class="identifier">mp</span> <span class="special">=</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">multiprecision</span><span class="special">;</span>     <span class="comment">// Reduce the typing a bit later...</span>
+
+<span class="keyword">typedef</span> <span class="identifier">mp</span><span class="special">::</span><span class="identifier">mp_number</span><span class="special">&lt;</span><span class="identifier">mp</span><span class="special">::</span><span class="identifier">mpfr_float_backend</span><span class="special">&lt;</span><span class="number">300</span><span class="special">&gt;,</span> <span class="keyword">false</span><span class="special">&gt;</span>  <span class="identifier">my_float</span><span class="special">;</span>
+
+<span class="identifier">my_float</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">b</span><span class="special">,</span> <span class="identifier">c</span><span class="special">;</span> <span class="comment">// These variables have 300 decimal digits precision</span>
+</pre>
+<h5>
+<a name="boost_multiprecision.intro.h0"></a>
+      <span><a name="boost_multiprecision.intro.expression_templates"></a></span><a class="link" href="intro.html#boost_multiprecision.intro.expression_templates">Expression
+      Templates</a>
+    </h5>
+<p>
+      Class <code class="computeroutput"><span class="identifier">mp_number</span></code> is expression-template-enabled:
+      that means that rather than having a multiplication operator that looks like
+      this:
+    </p>
+<pre class="programlisting"><span class="keyword">template</span> <span class="special">&lt;</span><span class="keyword">class</span> <span class="identifier">Backend</span><span class="special">&gt;</span>
+<span class="identifier">mp_number</span><span class="special">&lt;</span><span class="identifier">Backend</span><span class="special">&gt;</span> <span class="keyword">operator</span> <span class="special">*</span> <span class="special">(</span><span class="keyword">const</span> <span class="identifier">mp_number</span><span class="special">&lt;</span><span class="identifier">Backend</span><span class="special">&gt;&amp;</span> <span class="identifier">a</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">mp_number</span><span class="special">&lt;</span><span class="identifier">Backend</span><span class="special">&gt;&amp;</span> <span class="identifier">b</span><span class="special">)</span>
+<span class="special">{</span>
+   <span class="identifier">mp_number</span><span class="special">&lt;</span><span class="identifier">Backend</span><span class="special">&gt;</span> <span class="identifier">result</span><span class="special">(</span><span class="identifier">a</span><span class="special">);</span>
+   <span class="identifier">result</span> <span class="special">*=</span> <span class="identifier">b</span><span class="special">;</span>
+   <span class="keyword">return</span> <span class="identifier">result</span><span class="special">;</span>
+<span class="special">}</span>
+</pre>
+<p>
+      Instead the operator looks more like this:
+    </p>
+<pre class="programlisting"><span class="keyword">template</span> <span class="special">&lt;</span><span class="keyword">class</span> <span class="identifier">Backend</span><span class="special">&gt;</span>
+<span class="emphasis"><em>unmentionable-type</em></span> <span class="keyword">operator</span> <span class="special">*</span> <span class="special">(</span><span class="keyword">const</span> <span class="identifier">mp_number</span><span class="special">&lt;</span><span class="identifier">Backend</span><span class="special">&gt;&amp;</span> <span class="identifier">a</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">mp_number</span><span class="special">&lt;</span><span class="identifier">Backend</span><span class="special">&gt;&amp;</span> <span class="identifier">b</span><span class="special">);</span>
+</pre>
+<p>
+      Where the "unmentionable" return type is an implementation detail
+      that, rather than containing the result of the multiplication, contains instructions
+      on how to compute the result. In effect it's just a pair of references to the
+      arguments of the function, plus some compile-time information that stores what
+      the operation is.
+    </p>
+<p>
+      The great advantage of this method is the <span class="emphasis"><em>elimination of temporaries</em></span>:
+      for example the "naive" implementation of <code class="computeroutput"><span class="keyword">operator</span><span class="special">*</span></code> above, requires one temporary for computing
+      the result, and at least another one to return it. It's true that sometimes
+      this overhead can be reduced by using move-semantics, but it can't be eliminated
+      completely. For example, lets suppose we're evaluating a polynomial via Horners
+      method, something like this:
+    </p>
+<pre class="programlisting"><span class="identifier">T</span> <span class="identifier">a</span><span class="special">[</span><span class="number">7</span><span class="special">]</span> <span class="special">=</span> <span class="special">{</span> <span class="comment">/* some values */</span> <span class="special">};</span>
+<span class="comment">//....</span>
+<span class="identifier">y</span> <span class="special">=</span> <span class="special">(((((</span><span class="identifier">a</span><span class="special">[</span><span class="number">6</span><span class="special">]</span> <span class="special">*</span> <span class="identifier">x</span> <span class="special">+</span> <span class="identifier">a</span><span class="special">[</span><span class="number">5</span><span class="special">])</span> <span class="special">*</span> <span class="identifier">x</span> <span class="special">+</span> <span class="identifier">a</span><span class="special">[</span><span class="number">4</span><span class="special">])</span> <span class="special">*</span> <span class="identifier">x</span> <span class="special">+</span> <span class="identifier">a</span><span class="special">[</span><span class="number">3</span><span class="special">])</span> <span class="special">*</span> <span class="identifier">x</span> <span class="special">+</span> <span class="identifier">a</span><span class
="special">[</span><span class="number">2</span><span class="special">])</span> <span class="special">*</span> <span class="identifier">x</span> <span class="special">+</span> <span class="identifier">a</span><span class="special">[</span><span class="number">1</span><span class="special">])</span> <span class="special">*</span> <span class="identifier">x</span> <span class="special">+</span> <span class="identifier">a</span><span class="special">[</span><span class="number">0</span><span class="special">];</span>
+</pre>
+<p>
+      If type <code class="computeroutput"><span class="identifier">T</span></code> is an <code class="computeroutput"><span class="identifier">mp_number</span></code>, then this expression is evaluated
+      <span class="emphasis"><em>without creating a single temporary value</em></span>. In contrast,
+      if we were using the C++ wrapper that ships with GMP
+      - mpfr_class
+      - then this expression would result in no less than 11 temporaries (this is
+      true even though mpfr_class
+      does use expression templates to reduce the number of temporaries somewhat).
+      Had we used an even simpler wrapper around GMP
+      or MPFR like <code class="computeroutput"><span class="identifier">mpclass</span></code>
+      things would have been even worse and no less that 24 temporaries are created
+      for this simple expression (note - we actually measure the number of memory
+      allocations performed rather than the number of temporaries directly).
+    </p>
+<p>
+      This library also extends expression template support to standard library functions
+      like <code class="computeroutput"><span class="identifier">abs</span></code> or <code class="computeroutput"><span class="identifier">sin</span></code>
+      with <code class="computeroutput"><span class="identifier">mp_number</span></code> arguments. This
+      means that an expression such as:
+    </p>
+<pre class="programlisting"><span class="identifier">y</span> <span class="special">=</span> <span class="identifier">abs</span><span class="special">(</span><span class="identifier">x</span><span class="special">);</span>
+</pre>
+<p>
+      can be evaluated without a single temporary being calculated. Even expressions
+      like:
+    </p>
+<pre class="programlisting"><span class="identifier">y</span> <span class="special">=</span> <span class="identifier">sin</span><span class="special">(</span><span class="identifier">x</span><span class="special">);</span>
+</pre>
+<p>
+      get this treatment, so that variable 'y' is used as "working storage"
+      within the implementation of <code class="computeroutput"><span class="identifier">sin</span></code>,
+      thus reducing the number of temporaries used by one. Of course, should you
+      write:
+    </p>
+<pre class="programlisting"><span class="identifier">x</span> <span class="special">=</span> <span class="identifier">sin</span><span class="special">(</span><span class="identifier">x</span><span class="special">);</span>
+</pre>
+<p>
+      Then we clearly can't use <code class="computeroutput"><span class="identifier">x</span></code>
+      as working storage during the calculation, so then a temporary variable is
+      created in this case.
+    </p>
+<p>
+      Given the comments above, you might be forgiven for thinking that expression-templates
+      are some kind of universal-panacea: sadly though, all tricks like this have
+      their downsides. For one thing, expression template libraries like this one,
+      tend to be slower to compile than their simpler cousins, they're also harder
+      to debug (should you actually want to step through our code!), and rely on
+      compiler optimizations being turned on to give really good performance. Also,
+      since the return type from expressions involving <code class="computeroutput"><span class="identifier">mp_number</span></code>s
+      is an "unmentionable implementation detail", you have to be careful
+      to cast the result of an expression to the actual number type when passing
+      an expression to a template function. For example, given:
+    </p>
+<pre class="programlisting"><span class="keyword">template</span> <span class="special">&lt;</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">&gt;</span>
+<span class="keyword">void</span> <span class="identifier">my_proc</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">T</span><span class="special">&amp;);</span>
+</pre>
+<p>
+      Then calling:
+    </p>
+<pre class="programlisting"><span class="identifier">my_proc</span><span class="special">(</span><span class="identifier">a</span><span class="special">+</span><span class="identifier">b</span><span class="special">);</span>
+</pre>
+<p>
+      Will very likely result in obscure error messages inside the body of <code class="computeroutput"><span class="identifier">my_proc</span></code> - since we've passed it an expression
+      template type, and not a number type. Instead we probably need:
+    </p>
+<pre class="programlisting"><span class="identifier">my_proc</span><span class="special">(</span><span class="identifier">my_mp_number_type</span><span class="special">(</span><span class="identifier">a</span><span class="special">+</span><span class="identifier">b</span><span class="special">));</span>
+</pre>
+<p>
+      Having said that, these situations don't occur that often - or indeed not at
+      all for non-template functions. In addition, all the functions in the Boost.Math
+      library will automatically convert expression-template arguments to the underlying
+      number type without you having to do anything, so:
+    </p>
+<pre class="programlisting"><span class="identifier">mpfr_float_100</span> <span class="identifier">a</span><span class="special">(</span><span class="number">20</span><span class="special">),</span> <span class="identifier">delta</span><span class="special">(</span><span class="number">0.125</span><span class="special">);</span>
+<span class="identifier">boost</span><span class="special">::</span><span class="identifier">math</span><span class="special">::</span><span class="identifier">gamma_p</span><span class="special">(</span><span class="identifier">a</span><span class="special">,</span> <span class="identifier">a</span> <span class="special">+</span> <span class="identifier">delta</span><span class="special">);</span>
+</pre>
+<p>
+      Will work just fine, with the <code class="computeroutput"><span class="identifier">a</span> <span class="special">+</span> <span class="identifier">delta</span></code> expression
+      template argument getting converted to an <code class="computeroutput"><span class="identifier">mpfr_float_100</span></code>
+      internally by the Boost.Math library.
+    </p>
+<p>
+      One other potential pitfall that's only possible in C++11: you should never
+      store an expression template using:
+    </p>
+<pre class="programlisting"><span class="keyword">auto</span> <span class="identifier">my_expression</span> <span class="special">=</span> <span class="identifier">a</span> <span class="special">+</span> <span class="identifier">b</span> <span class="special">-</span> <span class="identifier">c</span><span class="special">;</span>
+</pre>
+<p>
+      unless you're absolutely sure that the lifetimes of <code class="computeroutput"><span class="identifier">a</span></code>,
+      <code class="computeroutput"><span class="identifier">b</span></code> and <code class="computeroutput"><span class="identifier">c</span></code>
+      will outlive that of <code class="computeroutput"><span class="identifier">my_expression</span></code>.
+    </p>
+<p>
+      And finally... the performance improvements from an expression template library
+      like this are often not as dramatic as the reduction in number of temporaries
+      would suggest. For example if we compare this library with mpfr_class
+      and mpreal, with
+      all three using the underlying MPFR
+      library at 50 decimal digits precision then we see the following typical results
+      for polynomial execution:
+    </p>
+<div class="table">
+<a name="boost_multiprecision.intro.evaluation_of_order_6_polynomial_"></a><p class="title"><b>Table&#160;1.1.&#160;Evaluation of Order 6 Polynomial.</b></p>
+<div class="table-contents"><table class="table" summary="Evaluation of Order 6 Polynomial.">
+<colgroup>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+              <p>
+                Library
+              </p>
+            </th>
+<th>
+              <p>
+                Relative Time
+              </p>
+            </th>
+<th>
+              <p>
+                Relative number of memory allocations
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                mp_number
+              </p>
+            </td>
+<td>
+              <p>
+                1.0 (0.00793s)
+              </p>
+            </td>
+<td>
+              <p>
+                1.0 (2996 total)
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                mpfr_class
+              </p>
+            </td>
+<td>
+              <p>
+                1.2 (0.00931s)
+              </p>
+            </td>
+<td>
+              <p>
+                4.3 (12976 total)
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                mpreal
+              </p>
+            </td>
+<td>
+              <p>
+                1.9 (0.0148s)
+              </p>
+            </td>
+<td>
+              <p>
+                9.3 (27947 total)
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break"><p>
+      As you can see, the execution time increases a lot more slowly than the number
+      of memory allocations. There are a number of reasons for this:
+    </p>
+<div class="itemizedlist"><ul class="itemizedlist" type="disc">
+<li class="listitem">
+          The cost of extended-precision multiplication and division is so great,
+          that the times taken for these tend to swamp everything else.
+        </li>
+<li class="listitem">
+          The cost of an in-place multiplication (using <code class="computeroutput"><span class="keyword">operator</span><span class="special">*=</span></code>) tends to be more than an out-of-place
+          <code class="computeroutput"><span class="keyword">operator</span><span class="special">*</span></code>
+          (typically <code class="computeroutput"><span class="keyword">operator</span> <span class="special">*=</span></code>
+          has to create a temporary workspace to carry out the multiplication, where
+          as <code class="computeroutput"><span class="keyword">operator</span><span class="special">*</span></code>
+          can use the target variable as workspace). Since the expression templates
+          carry out their magic by converting out-of-place operators to in-place
+          ones, we necessarily take this hit. Even so the transformation is more
+          efficient than creating the extra temporary variable, just not by as much
+          as one would hope.
+        </li>
+</ul></div>
+<p>
+      Finally, note that <code class="computeroutput"><span class="identifier">mp_number</span></code>
+      takes a second template argument, which, when set to <code class="computeroutput"><span class="keyword">false</span></code>
+      disables all the expression template machinery. The result is much faster to
+      compile, but slower at runtime.
+    </p>
+<p>
+      We'll conclude this section by providing some more performance comparisons
+      between these three libraries, again, all are using MPFR
+      to carry out the underlying arithmetic, and all are operating at the same precision
+      (50 decimal digits):
+    </p>
+<div class="table">
+<a name="boost_multiprecision.intro.evaluation_of_boost_math_s_bessel_function_test_data"></a><p class="title"><b>Table&#160;1.2.&#160;Evaluation of Boost.Math's Bessel function test data</b></p>
+<div class="table-contents"><table class="table" summary="Evaluation of Boost.Math's Bessel function test data">
+<colgroup>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+              <p>
+                Library
+              </p>
+            </th>
+<th>
+              <p>
+                Relative Time
+              </p>
+            </th>
+<th>
+              <p>
+                Relative Number of Memory Allocations
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                mp_number
+              </p>
+            </td>
+<td>
+              <p>
+                1.0 (6.21s)
+              </p>
+            </td>
+<td>
+              <p>
+                1.0 (2685469)
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                mpfr_class
+              </p>
+            </td>
+<td>
+              <p>
+                1.04 (6.45s)
+              </p>
+            </td>
+<td>
+              <p>
+                1.47 (3946007)
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                mpreal
+              </p>
+            </td>
+<td>
+              <p>
+                1.53 (9.52s)
+              </p>
+            </td>
+<td>
+              <p>
+                4.92 (13222940)
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break"><div class="table">
+<a name="boost_multiprecision.intro.evaluation_of_boost_math_s_non_central_t_distribution_test_data"></a><p class="title"><b>Table&#160;1.3.&#160;Evaluation of Boost.Math's Non-Central T distribution test data</b></p>
+<div class="table-contents"><table class="table" summary="Evaluation of Boost.Math's Non-Central T distribution test data">
+<colgroup>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+              <p>
+                Library
+              </p>
+            </th>
+<th>
+              <p>
+                Relative Time
+              </p>
+            </th>
+<th>
+              <p>
+                Relative Number of Memory Allocations
+              </p>
+            </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+              <p>
+                mp_number
+              </p>
+            </td>
+<td>
+              <p>
+                1.0 (269s)
+              </p>
+            </td>
+<td>
+              <p>
+                1.0 (139082551)
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                mpfr_class
+              </p>
+            </td>
+<td>
+              <p>
+                1.04 (278s)
+              </p>
+            </td>
+<td>
+              <p>
+                1.81 (252400791)
+              </p>
+            </td>
+</tr>
+<tr>
+<td>
+              <p>
+                mpreal
+              </p>
+            </td>
+<td>
+              <p>
+                1.49 (401s)
+              </p>
+            </td>
+<td>
+              <p>
+                3.22 (447009280)
+              </p>
+            </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break">
+</div>
+<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
+<td align="left"></td>
+<td align="right"><div class="copyright-footer">Copyright &#169; 2002-2012 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 http://www.boost.org/LICENSE_1_0.txt)
+      </p>
+</div></td>
+</tr></table>
+<hr>
+<div class="spirit-nav">
+<a accesskey="p" href="../index.html"><img src="../images/prev.png" alt="Prev"></a><a accesskey="u" href="../index.html"><img src="../images/up.png" alt="Up"></a><a accesskey="h" href="../index.html"><img src="../images/home.png" alt="Home"></a><a accesskey="n" href="tut.html"><img src="../images/next.png" alt="Next"></a>
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+<html>
+<head>
+<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
+<title>Roadmap</title>
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+<meta name="generator" content="DocBook XSL Stylesheets V1.76.1">
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+</div>
+<div class="section boost_multiprecision_map">
+<div class="titlepage"><div><div><h2 class="title" style="clear: both">
+<a name="boost_multiprecision.map"></a><a class="link" href="map.html" title="Roadmap">Roadmap</a>
+</h2></div></div></div>
+<div class="toc"><dl>
+<dt><span class="section">History</span></dt>
+<dt><span class="section">TODO</span></dt>
+<dt><span class="section">Acknowledgements</span></dt>
+</dl></div>
+</div>
+<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
+<td align="left"></td>
+<td align="right"><div class="copyright-footer">Copyright &#169; 2002-2012 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 http://www.boost.org/LICENSE_1_0.txt)
+      </p>
+</div></td>
+</tr></table>
+<hr>
+<div class="spirit-nav">
+<a accesskey="p" href="perf/rational_performance.html"><img src="../images/prev.png" alt="Prev"></a><a accesskey="u" href="../index.html"><img src="../images/up.png" alt="Up"></a><a accesskey="h" href="../index.html"><img src="../images/home.png" alt="Home"></a><a accesskey="n" href="map/hist.html"><img src="../images/next.png" alt="Next"></a>
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+<html>
+<head>
+<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
+<title>Acknowledgements</title>
+<link rel="stylesheet" href="http://www.boost.org/doc/libs/release/doc/src/boostbook.css" type="text/css">
+<meta name="generator" content="DocBook XSL Stylesheets V1.76.1">
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+<link rel="next" href="../indexes.html" title="Indexes">
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+<div class="spirit-nav">
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+</div>
+<div class="section boost_multiprecision_map_ack">
+<div class="titlepage"><div><div><h3 class="title">
+<a name="boost_multiprecision.map.ack"></a><a class="link" href="ack.html" title="Acknowledgements">Acknowledgements</a>
+</h3></div></div></div>
+<p>
+        This library would not have happened without:
+      </p>
+<div class="itemizedlist"><ul class="itemizedlist" type="disc">
+<li class="listitem">
+            Christopher Kormanyos' C++ decimal number code.
+          </li>
+<li class="listitem">
+            Paul Bristow for patiently testing, and commenting on the library.
+          </li>
+<li class="listitem">
+            All the folks at GMP, MPFR and libtommath, for providing the "guts"
+            that makes this library work.
+          </li>
+<li class="listitem">
+            <a href="http://www-cs-faculty.stanford.edu/~uno/taocp.html" target="_top">"The
+            Art Of Computer Programming"</a>, Donald E. Knuth, Volume 2:
+            Seminumerical Algorithms, Third Edition (Reading, Massachusetts: Addison-Wesley,
+            1997), xiv+762pp. ISBN 0-201-89684-2
+          </li>
+</ul></div>
+</div>
+<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
+<td align="left"></td>
+<td align="right"><div class="copyright-footer">Copyright &#169; 2002-2012 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 http://www.boost.org/LICENSE_1_0.txt)
+      </p>
+</div></td>
+</tr></table>
+<hr>
+<div class="spirit-nav">
+<a accesskey="p" href="todo.html"><img src="../../images/prev.png" alt="Prev"></a><a accesskey="u" href="../map.html"><img src="../../images/up.png" alt="Up"></a><a accesskey="h" href="../../index.html"><img src="../../images/home.png" alt="Home"></a><a accesskey="n" href="../indexes.html"><img src="../../images/next.png" alt="Next"></a>
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+</body>
+</html>

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+<link rel="next" href="todo.html" title="TODO">
+</head>
+<body bgcolor="white" text="black" link="#0000FF" vlink="#840084" alink="#0000FF">
+<div class="spirit-nav">
+<a accesskey="p" href="../map.html"><img src="../../images/prev.png" alt="Prev"></a><a accesskey="u" href="../map.html"><img src="../../images/up.png" alt="Up"></a><a accesskey="h" href="../../index.html"><img src="../../images/home.png" alt="Home"></a><a accesskey="n" href="todo.html"><img src="../../images/next.png" alt="Next"></a>
+</div>
+<div class="section boost_multiprecision_map_hist">
+<div class="titlepage"><div><div><h3 class="title">
+<a name="boost_multiprecision.map.hist"></a><a class="link" href="hist.html" title="History">History</a>
+</h3></div></div></div>
+<div class="itemizedlist"><ul class="itemizedlist" type="disc">
+<li class="listitem">
+            2011-2012, John Maddock adds an expression template enabled front end
+            to Christopher's code, and adds support for other backends.
+          </li>
+<li class="listitem">
+            2011, Christopher Kormanyos publishes the decimal floating point code
+            under the Boost Software Licence. The code is published as: <a href="http://doi.acm.org/10.1145/1916461.1916469" target="_top">"Algorithm
+            910: A Portable C++ Multiple-Precision System for Special-Function Calculations"</a>,
+            in ACM TOMS, {VOL 37, ISSUE 4, (February 2011)} (C) ACM, 2011.
+          </li>
+<li class="listitem">
+            2002-2011, Christopher Kormanyos develops the all C++ decimal arithmetic
+            floating point code.
+          </li>
+</ul></div>
+</div>
+<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
+<td align="left"></td>
+<td align="right"><div class="copyright-footer">Copyright &#169; 2002-2012 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 http://www.boost.org/LICENSE_1_0.txt)
+      </p>
+</div></td>
+</tr></table>
+<hr>
+<div class="spirit-nav">
+<a accesskey="p" href="../map.html"><img src="../../images/prev.png" alt="Prev"></a><a accesskey="u" href="../map.html"><img src="../../images/up.png" alt="Up"></a><a accesskey="h" href="../../index.html"><img src="../../images/home.png" alt="Home"></a><a accesskey="n" href="todo.html"><img src="../../images/next.png" alt="Next"></a>
+</div>
+</body>
+</html>

Added: sandbox/big_number/libs/multiprecision/doc/html/boost_multiprecision/map/todo.html
==============================================================================
--- (empty file)
+++ sandbox/big_number/libs/multiprecision/doc/html/boost_multiprecision/map/todo.html	2012-03-30 14:35:38 EDT (Fri, 30 Mar 2012)
@@ -0,0 +1,58 @@
+<html>
+<head>
+<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
+<title>TODO</title>
+<link rel="stylesheet" href="http://www.boost.org/doc/libs/release/doc/src/boostbook.css" type="text/css">
+<meta name="generator" content="DocBook XSL Stylesheets V1.76.1">
+<link rel="home" href="../../index.html" title="Chapter&#160;1.&#160;Boost.Multiprecision">
+<link rel="up" href="../map.html" title="Roadmap">
+<link rel="prev" href="hist.html" title="History">
+<link rel="next" href="ack.html" title="Acknowledgements">
+</head>
+<body bgcolor="white" text="black" link="#0000FF" vlink="#840084" alink="#0000FF">
+<div class="spirit-nav">
+<a accesskey="p" href="hist.html"><img src="../../images/prev.png" alt="Prev"></a><a accesskey="u" href="../map.html"><img src="../../images/up.png" alt="Up"></a><a accesskey="h" href="../../index.html"><img src="../../images/home.png" alt="Home"></a><a accesskey="n" href="ack.html"><img src="../../images/next.png" alt="Next"></a>
+</div>
+<div class="section boost_multiprecision_map_todo">
+<div class="titlepage"><div><div><h3 class="title">
+<a name="boost_multiprecision.map.todo"></a><a class="link" href="todo.html" title="TODO">TODO</a>
+</h3></div></div></div>
+<p>
+        More a list of what <span class="emphasis"><em>could</em></span> be done, rather than what
+        <span class="emphasis"><em>should</em></span> be done (which may be a much smaller list!).
+      </p>
+<div class="itemizedlist"><ul class="itemizedlist" type="disc">
+<li class="listitem">
+            Add back-end support for libdecNumber.
+          </li>
+<li class="listitem">
+            Add an adapter back-end for complex number types.
+          </li>
+<li class="listitem">
+            Add a back-end for MPFR interval arithmetic.
+          </li>
+<li class="listitem">
+            Add better multiplication routines (Karatsuba, FFT etc) to cpp_int_backend.
+          </li>
+<li class="listitem">
+            Add assembly level routines to cpp_int_backend.
+          </li>
+<li class="listitem">
+            Add an all C++ binary floating point type.
+          </li>
+</ul></div>
+</div>
+<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
+<td align="left"></td>
+<td align="right"><div class="copyright-footer">Copyright &#169; 2002-2012 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 http://www.boost.org/LICENSE_1_0.txt)
+      </p>
+</div></td>
+</tr></table>
+<hr>
+<div class="spirit-nav">
+<a accesskey="p" href="hist.html"><img src="../../images/prev.png" alt="Prev"></a><a accesskey="u" href="../map.html"><img src="../../images/up.png" alt="Up"></a><a accesskey="h" href="../../index.html"><img src="../../images/home.png" alt="Home"></a><a accesskey="n" href="ack.html"><img src="../../images/next.png" alt="Next"></a>
+</div>
+</body>
+</html>

Added: sandbox/big_number/libs/multiprecision/doc/html/boost_multiprecision/perf.html
==============================================================================
--- (empty file)
+++ sandbox/big_number/libs/multiprecision/doc/html/boost_multiprecision/perf.html	2012-03-30 14:35:38 EDT (Fri, 30 Mar 2012)
@@ -0,0 +1,46 @@
+<html>
+<head>
+<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
+<title>Performance Comparison</title>
+<link rel="stylesheet" href="http://www.boost.org/doc/libs/release/doc/src/boostbook.css" type="text/css">
+<meta name="generator" content="DocBook XSL Stylesheets V1.76.1">
+<link rel="home" href="../index.html" title="Chapter&#160;1.&#160;Boost.Multiprecision">
+<link rel="up" href="../index.html" title="Chapter&#160;1.&#160;Boost.Multiprecision">
+<link rel="prev" href="ref/backendconc.html" title="Backend Requirements">
+<link rel="next" href="perf/realworld.html" title="Floating Point Real World Tests">
+</head>
+<body bgcolor="white" text="black" link="#0000FF" vlink="#840084" alink="#0000FF">
+<div class="spirit-nav">
+<a accesskey="p" href="ref/backendconc.html"><img src="../images/prev.png" alt="Prev"></a><a accesskey="u" href="../index.html"><img src="../images/up.png" alt="Up"></a><a accesskey="h" href="../index.html"><img src="../images/home.png" alt="Home"></a><a accesskey="n" href="perf/realworld.html"><img src="../images/next.png" alt="Next"></a>
+</div>
+<div class="section boost_multiprecision_perf">
+<div class="titlepage"><div><div><h2 class="title" style="clear: both">
+<a name="boost_multiprecision.perf"></a><a class="link" href="perf.html" title="Performance Comparison">Performance Comparison</a>
+</h2></div></div></div>
+<div class="toc"><dl>
+<dt><span class="section"><a href="perf/realworld.html">Floating Point Real
+      World Tests</a></span></dt>
+<dt><span class="section"><a href="perf/int_real_world.html">Integer Real
+      World Tests</a></span></dt>
+<dt><span class="section"><a href="perf/float_performance.html">Float Algorithm
+      Perfomance</a></span></dt>
+<dt><span class="section"><a href="perf/integer_performance.html">Integer
+      Algorithm Perfomance</a></span></dt>
+<dt><span class="section"><a href="perf/rational_performance.html">Rational
+      Type Perfomance</a></span></dt>
+</dl></div>
+</div>
+<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
+<td align="left"></td>
+<td align="right"><div class="copyright-footer">Copyright &#169; 2002-2012 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 http://www.boost.org/LICENSE_1_0.txt)
+      </p>
+</div></td>
+</tr></table>
+<hr>
+<div class="spirit-nav">
+<a accesskey="p" href="ref/backendconc.html"><img src="../images/prev.png" alt="Prev"></a><a accesskey="u" href="../index.html"><img src="../images/up.png" alt="Up"></a><a accesskey="h" href="../index.html"><img src="../images/home.png" alt="Home"></a><a accesskey="n" href="perf/realworld.html"><img src="../images/next.png" alt="Next"></a>
+</div>
+</body>
+</html>

Added: sandbox/big_number/libs/multiprecision/doc/html/boost_multiprecision/perf/float_performance.html
==============================================================================
--- (empty file)
+++ sandbox/big_number/libs/multiprecision/doc/html/boost_multiprecision/perf/float_performance.html	2012-03-30 14:35:38 EDT (Fri, 30 Mar 2012)
@@ -0,0 +1,961 @@
+<html>
+<head>
+<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
+<title>Float Algorithm Perfomance</title>
+<link rel="stylesheet" href="http://www.boost.org/doc/libs/release/doc/src/boostbook.css" type="text/css">
+<meta name="generator" content="DocBook XSL Stylesheets V1.76.1">
+<link rel="home" href="../../index.html" title="Chapter&#160;1.&#160;Boost.Multiprecision">
+<link rel="up" href="../perf.html" title="Performance Comparison">
+<link rel="prev" href="int_real_world.html" title="Integer Real World Tests">
+<link rel="next" href="integer_performance.html" title="Integer Algorithm Perfomance">
+</head>
+<body bgcolor="white" text="black" link="#0000FF" vlink="#840084" alink="#0000FF">
+<div class="spirit-nav">
+<a accesskey="p" href="int_real_world.html"><img src="../../images/prev.png" alt="Prev"></a><a accesskey="u" href="../perf.html"><img src="../../images/up.png" alt="Up"></a><a accesskey="h" href="../../index.html"><img src="../../images/home.png" alt="Home"></a><a accesskey="n" href="integer_performance.html"><img src="../../images/next.png" alt="Next"></a>
+</div>
+<div class="section boost_multiprecision_perf_float_performance">
+<div class="titlepage"><div><div><h3 class="title">
+<a name="boost_multiprecision.perf.float_performance"></a><a class="link" href="float_performance.html" title="Float Algorithm Perfomance">Float Algorithm
+      Perfomance</a>
+</h3></div></div></div>
+<p>
+        Note that these tests are carefully designed to test performance of the underlying
+        algorithms and not memory allocation or variable copying. As usual, performance
+        results should be taken with a healthy dose of scepticism, and real-world
+        performance may vary widely depending upon the specifics of the program.
+        In each table relative times are given first, with the best performer given
+        a score of 1. Total actual times are given in brackets, measured in seconds
+        for 500000 operations.
+      </p>
+<p>
+        Test code was compiled with Microsoft Visual Studio 2010 with all optimisations
+        turned on (/Ox), and used MPIR-2.3.0 and MPFR-3.0.0.
+        The tests were run on 32-bit Windows Vista machine.
+      </p>
+<div class="table">
+<a name="boost_multiprecision.perf.float_performance.operator__"></a><p class="title"><b>Table&#160;1.8.&#160;Operator +</b></p>
+<div class="table-contents"><table class="table" summary="Operator +">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+                <p>
+                  Backend
+                </p>
+              </th>
+<th>
+                <p>
+                  50 Decimal Digits
+                </p>
+              </th>
+<th>
+                <p>
+                  100 Decimal Digits
+                </p>
+              </th>
+<th>
+                <p>
+                  500 Decimal Digits
+                </p>
+              </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+                <p>
+                  cpp_dec_float
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (0.02382s)
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (0.0294619s)
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (0.058466s)
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  gmp_float
+                </p>
+              </td>
+<td>
+                <p>
+                  4.55086 (0.108402s)
+                </p>
+              </td>
+<td>
+                <p>
+                  3.86443 (0.113853s)
+                </p>
+              </td>
+<td>
+                <p>
+                  2.6241 (0.15342s)
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  mpfr_float
+                </p>
+              </td>
+<td>
+                <p>
+                  2.52036 (0.060035s)
+                </p>
+              </td>
+<td>
+                <p>
+                  2.1833 (0.0643242s)
+                </p>
+              </td>
+<td>
+                <p>
+                  1.37736 (0.0805287s)
+                </p>
+              </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break"><div class="table">
+<a name="boost_multiprecision.perf.float_performance.operator___int_"></a><p class="title"><b>Table&#160;1.9.&#160;Operator +(int)</b></p>
+<div class="table-contents"><table class="table" summary="Operator +(int)">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+                <p>
+                  Backend
+                </p>
+              </th>
+<th>
+                <p>
+                  50 Decimal Digits
+                </p>
+              </th>
+<th>
+                <p>
+                  100 Decimal Digits
+                </p>
+              </th>
+<th>
+                <p>
+                  500 Decimal Digits
+                </p>
+              </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+                <p>
+                  cpp_dec_float
+                </p>
+              </td>
+<td>
+                <p>
+                  1.56759 (0.0527023s)
+                </p>
+              </td>
+<td>
+                <p>
+                  1.74629 (0.0618102s)
+                </p>
+              </td>
+<td>
+                <p>
+                  1.68077 (0.105927s)
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  gmp_float
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (0.0336201s)
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (0.0353951s)
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (0.0630232s)
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  mpfr_float
+                </p>
+              </td>
+<td>
+                <p>
+                  3.14875 (0.105861s)
+                </p>
+              </td>
+<td>
+                <p>
+                  3.15499 (0.111671s)
+                </p>
+              </td>
+<td>
+                <p>
+                  1.92831 (0.121528s)
+                </p>
+              </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break"><div class="table">
+<a name="boost_multiprecision.perf.float_performance.operator0"></a><p class="title"><b>Table&#160;1.10.&#160;Operator -</b></p>
+<div class="table-contents"><table class="table" summary="Operator -">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+                <p>
+                  Backend
+                </p>
+              </th>
+<th>
+                <p>
+                  50 Decimal Digits
+                </p>
+              </th>
+<th>
+                <p>
+                  100 Decimal Digits
+                </p>
+              </th>
+<th>
+                <p>
+                  500 Decimal Digits
+                </p>
+              </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+                <p>
+                  cpp_dec_float
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (0.0265783s)
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (0.031465s)
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (0.0619405s)
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  gmp_float
+                </p>
+              </td>
+<td>
+                <p>
+                  4.66954 (0.124108s)
+                </p>
+              </td>
+<td>
+                <p>
+                  3.72645 (0.117253s)
+                </p>
+              </td>
+<td>
+                <p>
+                  2.67536 (0.165713s)
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  mpfr_float
+                </p>
+              </td>
+<td>
+                <p>
+                  2.7909 (0.0741774s)
+                </p>
+              </td>
+<td>
+                <p>
+                  2.48557 (0.0782083s)
+                </p>
+              </td>
+<td>
+                <p>
+                  1.50944 (0.0934957s)
+                </p>
+              </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break"><div class="table">
+<a name="boost_multiprecision.perf.float_performance.operator_int0"></a><p class="title"><b>Table&#160;1.11.&#160;Operator -(int)</b></p>
+<div class="table-contents"><table class="table" summary="Operator -(int)">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+                <p>
+                  Backend
+                </p>
+              </th>
+<th>
+                <p>
+                  50 Decimal Digits
+                </p>
+              </th>
+<th>
+                <p>
+                  100 Decimal Digits
+                </p>
+              </th>
+<th>
+                <p>
+                  500 Decimal Digits
+                </p>
+              </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+                <p>
+                  cpp_dec_float
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (0.0577674s)
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (0.0633795s)
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (0.11146s)
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  gmp_float
+                </p>
+              </td>
+<td>
+                <p>
+                  2.31811 (0.133911s)
+                </p>
+              </td>
+<td>
+                <p>
+                  2.07251 (0.131355s)
+                </p>
+              </td>
+<td>
+                <p>
+                  1.67161 (0.186319s)
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  mpfr_float
+                </p>
+              </td>
+<td>
+                <p>
+                  2.45081 (0.141577s)
+                </p>
+              </td>
+<td>
+                <p>
+                  2.29174 (0.145249s)
+                </p>
+              </td>
+<td>
+                <p>
+                  1.395 (0.155487s)
+                </p>
+              </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break"><div class="table">
+<a name="boost_multiprecision.perf.float_performance.operator1"></a><p class="title"><b>Table&#160;1.12.&#160;Operator *</b></p>
+<div class="table-contents"><table class="table" summary="Operator *">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+                <p>
+                  Backend
+                </p>
+              </th>
+<th>
+                <p>
+                  50 Decimal Digits
+                </p>
+              </th>
+<th>
+                <p>
+                  100 Decimal Digits
+                </p>
+              </th>
+<th>
+                <p>
+                  500 Decimal Digits
+                </p>
+              </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+                <p>
+                  cpp_dec_float
+                </p>
+              </td>
+<td>
+                <p>
+                  1.07276 (0.287898s)
+                </p>
+              </td>
+<td>
+                <p>
+                  1.47724 (0.584569s)
+                </p>
+              </td>
+<td>
+                <p>
+                  1.55145 (5.09969s)
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  gmp_float
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (0.268372s)
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (0.395718s)
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (3.28705s)
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  mpfr_float
+                </p>
+              </td>
+<td>
+                <p>
+                  1.27302 (0.341642s)
+                </p>
+              </td>
+<td>
+                <p>
+                  1.17649 (0.465557s)
+                </p>
+              </td>
+<td>
+                <p>
+                  1.14029 (3.7482s)
+                </p>
+              </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break"><div class="table">
+<a name="boost_multiprecision.perf.float_performance.operator_int1"></a><p class="title"><b>Table&#160;1.13.&#160;Operator *(int)</b></p>
+<div class="table-contents"><table class="table" summary="Operator *(int)">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+                <p>
+                  Backend
+                </p>
+              </th>
+<th>
+                <p>
+                  50 Decimal Digits
+                </p>
+              </th>
+<th>
+                <p>
+                  100 Decimal Digits
+                </p>
+              </th>
+<th>
+                <p>
+                  500 Decimal Digits
+                </p>
+              </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+                <p>
+                  cpp_dec_float
+                </p>
+              </td>
+<td>
+                <p>
+                  2.89945 (0.11959s)
+                </p>
+              </td>
+<td>
+                <p>
+                  4.56335 (0.197945s)
+                </p>
+              </td>
+<td>
+                <p>
+                  9.03602 (0.742044s)
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  gmp_float
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (0.0412457s)
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (0.0433772s)
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (0.0821206s)
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  mpfr_float
+                </p>
+              </td>
+<td>
+                <p>
+                  3.6951 (0.152407s)
+                </p>
+              </td>
+<td>
+                <p>
+                  3.71977 (0.161353s)
+                </p>
+              </td>
+<td>
+                <p>
+                  3.30958 (0.271785s)
+                </p>
+              </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break"><div class="table">
+<a name="boost_multiprecision.perf.float_performance.operator2"></a><p class="title"><b>Table&#160;1.14.&#160;Operator /</b></p>
+<div class="table-contents"><table class="table" summary="Operator /">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+                <p>
+                  Backend
+                </p>
+              </th>
+<th>
+                <p>
+                  50 Decimal Digits
+                </p>
+              </th>
+<th>
+                <p>
+                  100 Decimal Digits
+                </p>
+              </th>
+<th>
+                <p>
+                  500 Decimal Digits
+                </p>
+              </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+                <p>
+                  cpp_dec_float
+                </p>
+              </td>
+<td>
+                <p>
+                  3.24327 (4.00108s)
+                </p>
+              </td>
+<td>
+                <p>
+                  5.00532 (8.12985s)
+                </p>
+              </td>
+<td>
+                <p>
+                  6.79566 (54.2796s)
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  gmp_float
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (1.23366s)
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (1.62424s)
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (7.9874s)
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  mpfr_float
+                </p>
+              </td>
+<td>
+                <p>
+                  1.32521 (1.63486s)
+                </p>
+              </td>
+<td>
+                <p>
+                  1.38967 (2.25716s)
+                </p>
+              </td>
+<td>
+                <p>
+                  1.72413 (13.7713s)
+                </p>
+              </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break"><div class="table">
+<a name="boost_multiprecision.perf.float_performance.operator_int2"></a><p class="title"><b>Table&#160;1.15.&#160;Operator /(int)</b></p>
+<div class="table-contents"><table class="table" summary="Operator /(int)">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+                <p>
+                  Backend
+                </p>
+              </th>
+<th>
+                <p>
+                  50 Decimal Digits
+                </p>
+              </th>
+<th>
+                <p>
+                  100 Decimal Digits
+                </p>
+              </th>
+<th>
+                <p>
+                  500 Decimal Digits
+                </p>
+              </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+                <p>
+                  cpp_dec_float
+                </p>
+              </td>
+<td>
+                <p>
+                  1.45093 (0.253675s)
+                </p>
+              </td>
+<td>
+                <p>
+                  1.83306 (0.419569s)
+                </p>
+              </td>
+<td>
+                <p>
+                  2.3644 (1.64187s)
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  gmp_float
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (0.174836s)
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (0.22889s)
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (0.694411s)
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  mpfr_float
+                </p>
+              </td>
+<td>
+                <p>
+                  1.16731 (0.204088s)
+                </p>
+              </td>
+<td>
+                <p>
+                  1.13211 (0.259127s)
+                </p>
+              </td>
+<td>
+                <p>
+                  1.02031 (0.708513s)
+                </p>
+              </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break"><div class="table">
+<a name="boost_multiprecision.perf.float_performance.operator_str"></a><p class="title"><b>Table&#160;1.16.&#160;Operator str</b></p>
+<div class="table-contents"><table class="table" summary="Operator str">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+                <p>
+                  Backend
+                </p>
+              </th>
+<th>
+                <p>
+                  50 Decimal Digits
+                </p>
+              </th>
+<th>
+                <p>
+                  100 Decimal Digits
+                </p>
+              </th>
+<th>
+                <p>
+                  500 Decimal Digits
+                </p>
+              </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+                <p>
+                  cpp_dec_float
+                </p>
+              </td>
+<td>
+                <p>
+                  1.4585 (0.0188303s)
+                </p>
+              </td>
+<td>
+                <p>
+                  1.55515 (0.03172s)
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (0.131962s)
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  gmp_float
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (0.0129107s)
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (0.0203967s)
+                </p>
+              </td>
+<td>
+                <p>
+                  1.04632 (0.138075s)
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  mpfr_float
+                </p>
+              </td>
+<td>
+                <p>
+                  2.19015 (0.0282764s)
+                </p>
+              </td>
+<td>
+                <p>
+                  1.84679 (0.0376683s)
+                </p>
+              </td>
+<td>
+                <p>
+                  1.20295 (0.158743s)
+                </p>
+              </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break"><p>
+        ]
+      </p>
+</div>
+<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
+<td align="left"></td>
+<td align="right"><div class="copyright-footer">Copyright &#169; 2002-2012 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 http://www.boost.org/LICENSE_1_0.txt)
+      </p>
+</div></td>
+</tr></table>
+<hr>
+<div class="spirit-nav">
+<a accesskey="p" href="int_real_world.html"><img src="../../images/prev.png" alt="Prev"></a><a accesskey="u" href="../perf.html"><img src="../../images/up.png" alt="Up"></a><a accesskey="h" href="../../index.html"><img src="../../images/home.png" alt="Home"></a><a accesskey="n" href="integer_performance.html"><img src="../../images/next.png" alt="Next"></a>
+</div>
+</body>
+</html>

Added: sandbox/big_number/libs/multiprecision/doc/html/boost_multiprecision/perf/int_real_world.html
==============================================================================
--- (empty file)
+++ sandbox/big_number/libs/multiprecision/doc/html/boost_multiprecision/perf/int_real_world.html	2012-03-30 14:35:38 EDT (Fri, 30 Mar 2012)
@@ -0,0 +1,217 @@
+<html>
+<head>
+<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
+<title>Integer Real World Tests</title>
+<link rel="stylesheet" href="http://www.boost.org/doc/libs/release/doc/src/boostbook.css" type="text/css">
+<meta name="generator" content="DocBook XSL Stylesheets V1.76.1">
+<link rel="home" href="../../index.html" title="Chapter&#160;1.&#160;Boost.Multiprecision">
+<link rel="up" href="../perf.html" title="Performance Comparison">
+<link rel="prev" href="realworld.html" title="Floating Point Real World Tests">
+<link rel="next" href="float_performance.html" title="Float Algorithm Perfomance">
+</head>
+<body bgcolor="white" text="black" link="#0000FF" vlink="#840084" alink="#0000FF">
+<div class="spirit-nav">
+<a accesskey="p" href="realworld.html"><img src="../../images/prev.png" alt="Prev"></a><a accesskey="u" href="../perf.html"><img src="../../images/up.png" alt="Up"></a><a accesskey="h" href="../../index.html"><img src="../../images/home.png" alt="Home"></a><a accesskey="n" href="float_performance.html"><img src="../../images/next.png" alt="Next"></a>
+</div>
+<div class="section boost_multiprecision_perf_int_real_world">
+<div class="titlepage"><div><div><h3 class="title">
+<a name="boost_multiprecision.perf.int_real_world"></a><a class="link" href="int_real_world.html" title="Integer Real World Tests">Integer Real
+      World Tests</a>
+</h3></div></div></div>
+<p>
+        These tests
+        measure the time taken to generate 1000 128-bit random numbers and test for
+        primality using the Miller Rabin test.
+      </p>
+<p>
+        Test code was compiled with Microsoft Visual Studio 2010 with all optimisations
+        turned on (/Ox), and used MPIR-2.3.0 and libtommath-0.42.0.
+        The tests were run on 32-bit Windows Vista machine.
+      </p>
+<div class="informaltable"><table class="table">
+<colgroup>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+                <p>
+                  Integer Type
+                </p>
+              </th>
+<th>
+                <p>
+                  Relative (and Absolute) Times
+                </p>
+              </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+                <p>
+                  mpz_int
+                </p>
+              </td>
+<td>
+                <p>
+                  1.08279(0.370326s)
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  mpz_int (no Expression templates)
+                </p>
+              </td>
+<td>
+                <p>
+                  1.1702(0.400222s)
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  cpp_int
+                </p>
+              </td>
+<td>
+                <p>
+                  1.3612(0.465547s)
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  cpp_int (no Expression templates)
+                </p>
+              </td>
+<td>
+                <p>
+                  1.33286(0.455854s)
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  cpp_int (64-bit cache)
+                </p>
+              </td>
+<td>
+                <p>
+                  1.33134(0.455333s)
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  cpp_int (256-bit cache)
+                </p>
+              </td>
+<td>
+                <p>
+                  1.29367(0.442451s)
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  cpp_int (512-bit cache)
+                </p>
+              </td>
+<td>
+                <p>
+                  1.08821(0.37218s)
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  cpp_int (1024-bit cache)
+                </p>
+              </td>
+<td>
+                <p>
+                  1.07902(0.369037s)
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  mp_int1024_t
+                </p>
+              </td>
+<td>
+                <p>
+                  1.02616(0.35096s)
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  mp_int1024_t (no Expression templates)
+                </p>
+              </td>
+<td>
+                <p>
+                  1(0.342011s)
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  tom_int
+                </p>
+              </td>
+<td>
+                <p>
+                  3.74233(1.27992s)
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  tom_int (no Expression templates)
+                </p>
+              </td>
+<td>
+                <p>
+                  3.97646(1.35999s)
+                </p>
+              </td>
+</tr>
+</tbody>
+</table></div>
+<p>
+        It's interesting to note that expression templates have little effect here
+        - perhaps because the actual expressions involved are relatively trivial
+        in this case - so the time taken for multiplication and division tends to
+        dominate. Also note how increasing the internal cache size used by <code class="computeroutput"><span class="identifier">cpp_int</span></code> is quite effective in this case
+        in cutting out memory allocations altogether - cutting about a third off
+        the total runtime.
+      </p>
+</div>
+<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
+<td align="left"></td>
+<td align="right"><div class="copyright-footer">Copyright &#169; 2002-2012 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 http://www.boost.org/LICENSE_1_0.txt)
+      </p>
+</div></td>
+</tr></table>
+<hr>
+<div class="spirit-nav">
+<a accesskey="p" href="realworld.html"><img src="../../images/prev.png" alt="Prev"></a><a accesskey="u" href="../perf.html"><img src="../../images/up.png" alt="Up"></a><a accesskey="h" href="../../index.html"><img src="../../images/home.png" alt="Home"></a><a accesskey="n" href="float_performance.html"><img src="../../images/next.png" alt="Next"></a>
+</div>
+</body>
+</html>

Added: sandbox/big_number/libs/multiprecision/doc/html/boost_multiprecision/perf/integer_performance.html
==============================================================================
--- (empty file)
+++ sandbox/big_number/libs/multiprecision/doc/html/boost_multiprecision/perf/integer_performance.html	2012-03-30 14:35:38 EDT (Fri, 30 Mar 2012)
@@ -0,0 +1,3034 @@
+<html>
+<head>
+<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
+<title>Integer Algorithm Perfomance</title>
+<link rel="stylesheet" href="http://www.boost.org/doc/libs/release/doc/src/boostbook.css" type="text/css">
+<meta name="generator" content="DocBook XSL Stylesheets V1.76.1">
+<link rel="home" href="../../index.html" title="Chapter&#160;1.&#160;Boost.Multiprecision">
+<link rel="up" href="../perf.html" title="Performance Comparison">
+<link rel="prev" href="float_performance.html" title="Float Algorithm Perfomance">
+<link rel="next" href="rational_performance.html" title="Rational Type Perfomance">
+</head>
+<body bgcolor="white" text="black" link="#0000FF" vlink="#840084" alink="#0000FF">
+<div class="spirit-nav">
+<a accesskey="p" href="float_performance.html"><img src="../../images/prev.png" alt="Prev"></a><a accesskey="u" href="../perf.html"><img src="../../images/up.png" alt="Up"></a><a accesskey="h" href="../../index.html"><img src="../../images/home.png" alt="Home"></a><a accesskey="n" href="rational_performance.html"><img src="../../images/next.png" alt="Next"></a>
+</div>
+<div class="section boost_multiprecision_perf_integer_performance">
+<div class="titlepage"><div><div><h3 class="title">
+<a name="boost_multiprecision.perf.integer_performance"></a><a class="link" href="integer_performance.html" title="Integer Algorithm Perfomance">Integer
+      Algorithm Perfomance</a>
+</h3></div></div></div>
+<p>
+        Note that these tests are carefully designed to test performance of the underlying
+        algorithms and not memory allocation or variable copying. As usual, performance
+        results should be taken with a healthy dose of scepticism, and real-world
+        performance may vary widely depending upon the specifics of the program.
+        In each table relative times are given first, with the best performer given
+        a score of 1. Total actual times are given in brackets, measured in seconds
+        for 500000 operations.
+      </p>
+<p>
+        Test code was compiled with Microsoft Visual Studio 2010 with all optimisations
+        turned on (/Ox), and used MPIR-2.3.0 and MPFR-3.0.0.
+        The tests were run on 32-bit Windows Vista machine.
+      </p>
+<p>
+        Linux x86_64 results are broadly similar, except that libtommath performs
+        much better there.
+      </p>
+<div class="table">
+<a name="boost_multiprecision.perf.integer_performance.operator__"></a><p class="title"><b>Table&#160;1.17.&#160;Operator +</b></p>
+<div class="table-contents"><table class="table" summary="Operator +">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+                <p>
+                  Backend
+                </p>
+              </th>
+<th>
+                <p>
+                  128 Bits
+                </p>
+              </th>
+<th>
+                <p>
+                  256 Bits
+                </p>
+              </th>
+<th>
+                <p>
+                  512 Bits
+                </p>
+              </th>
+<th>
+                <p>
+                  1024 Bits
+                </p>
+              </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+                <p>
+                  cpp_int
+                </p>
+              </td>
+<td>
+                <p>
+                  1.24574 (0.0270133s)
+                </p>
+              </td>
+<td>
+                <p>
+                  1.09665 (0.0352319s)
+                </p>
+              </td>
+<td>
+                <p>
+                  1.25708 (0.0524047s)
+                </p>
+              </td>
+<td>
+                <p>
+                  1.31488 (0.08777s)
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  cpp_int(fixed)
+                </p>
+              </td>
+<td>
+                <p>
+                  1.05787 (0.0229394s)
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (0.0321268s)
+                </p>
+              </td>
+<td>
+                <p>
+                  1.16171 (0.0484289s)
+                </p>
+              </td>
+<td>
+                <p>
+                  1.24017 (0.0827832s)
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  gmp_int
+                </p>
+              </td>
+<td>
+                <p>
+                  2.08016 (0.0451073s)
+                </p>
+              </td>
+<td>
+                <p>
+                  1.33792 (0.042983s)
+                </p>
+              </td>
+<td>
+                <p>
+                  1.19676 (0.0498904s)
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (0.0667514s)
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  tommath_int
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (0.0216845s)
+                </p>
+              </td>
+<td>
+                <p>
+                  1.07779 (0.0346258s)
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (0.0416877s)
+                </p>
+              </td>
+<td>
+                <p>
+                  1.06344 (0.0709863s)
+                </p>
+              </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break"><div class="table">
+<a name="boost_multiprecision.perf.integer_performance.operator___int_"></a><p class="title"><b>Table&#160;1.18.&#160;Operator +(int)</b></p>
+<div class="table-contents"><table class="table" summary="Operator +(int)">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+                <p>
+                  Backend
+                </p>
+              </th>
+<th>
+                <p>
+                  128 Bits
+                </p>
+              </th>
+<th>
+                <p>
+                  256 Bits
+                </p>
+              </th>
+<th>
+                <p>
+                  512 Bits
+                </p>
+              </th>
+<th>
+                <p>
+                  1024 Bits
+                </p>
+              </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+                <p>
+                  cpp_int
+                </p>
+              </td>
+<td>
+                <p>
+                  1.46244 (0.0202077s)
+                </p>
+              </td>
+<td>
+                <p>
+                  1.20665 (0.0238576s)
+                </p>
+              </td>
+<td>
+                <p>
+                  1.17647 (0.0258293s)
+                </p>
+              </td>
+<td>
+                <p>
+                  1.12424 (0.0317931s)
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  cpp_int(fixed)
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (0.0138178s)
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (0.0197719s)
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (0.0219548s)
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (0.0282796s)
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  gmp_int
+                </p>
+              </td>
+<td>
+                <p>
+                  2.15321 (0.0297527s)
+                </p>
+              </td>
+<td>
+                <p>
+                  2.09834 (0.041488s)
+                </p>
+              </td>
+<td>
+                <p>
+                  2.89935 (0.0636546s)
+                </p>
+              </td>
+<td>
+                <p>
+                  3.70262 (0.104709s)
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  tommath_int
+                </p>
+              </td>
+<td>
+                <p>
+                  17.1419 (0.236864s)
+                </p>
+              </td>
+<td>
+                <p>
+                  12.9762 (0.256563s)
+                </p>
+              </td>
+<td>
+                <p>
+                  12.3275 (0.270648s)
+                </p>
+              </td>
+<td>
+                <p>
+                  10.7373 (0.303648s)
+                </p>
+              </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break"><div class="table">
+<a name="boost_multiprecision.perf.integer_performance.operator0"></a><p class="title"><b>Table&#160;1.19.&#160;Operator -</b></p>
+<div class="table-contents"><table class="table" summary="Operator -">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+                <p>
+                  Backend
+                </p>
+              </th>
+<th>
+                <p>
+                  128 Bits
+                </p>
+              </th>
+<th>
+                <p>
+                  256 Bits
+                </p>
+              </th>
+<th>
+                <p>
+                  512 Bits
+                </p>
+              </th>
+<th>
+                <p>
+                  1024 Bits
+                </p>
+              </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+                <p>
+                  cpp_int
+                </p>
+              </td>
+<td>
+                <p>
+                  1.15385 (0.029665s)
+                </p>
+              </td>
+<td>
+                <p>
+                  1.08217 (0.0369886s)
+                </p>
+              </td>
+<td>
+                <p>
+                  1.05882 (0.051534s)
+                </p>
+              </td>
+<td>
+                <p>
+                  1.12132 (0.0822725s)
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  cpp_int(fixed)
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (0.0257095s)
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (0.0341801s)
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (0.0486711s)
+                </p>
+              </td>
+<td>
+                <p>
+                  1.08659 (0.0797242s)
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  gmp_int
+                </p>
+              </td>
+<td>
+                <p>
+                  1.56685 (0.040283s)
+                </p>
+              </td>
+<td>
+                <p>
+                  1.32917 (0.0454312s)
+                </p>
+              </td>
+<td>
+                <p>
+                  1.06917 (0.0520378s)
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (0.0733708s)
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  tommath_int
+                </p>
+              </td>
+<td>
+                <p>
+                  1.059 (0.0272264s)
+                </p>
+              </td>
+<td>
+                <p>
+                  1.16974 (0.0399818s)
+                </p>
+              </td>
+<td>
+                <p>
+                  1.01303 (0.0493054s)
+                </p>
+              </td>
+<td>
+                <p>
+                  1.03375 (0.0758472s)
+                </p>
+              </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break"><div class="table">
+<a name="boost_multiprecision.perf.integer_performance.operator_int0"></a><p class="title"><b>Table&#160;1.20.&#160;Operator -(int)</b></p>
+<div class="table-contents"><table class="table" summary="Operator -(int)">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+                <p>
+                  Backend
+                </p>
+              </th>
+<th>
+                <p>
+                  128 Bits
+                </p>
+              </th>
+<th>
+                <p>
+                  256 Bits
+                </p>
+              </th>
+<th>
+                <p>
+                  512 Bits
+                </p>
+              </th>
+<th>
+                <p>
+                  1024 Bits
+                </p>
+              </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+                <p>
+                  cpp_int
+                </p>
+              </td>
+<td>
+                <p>
+                  1.51665 (0.0157196s)
+                </p>
+              </td>
+<td>
+                <p>
+                  1.31513 (0.0200533s)
+                </p>
+              </td>
+<td>
+                <p>
+                  1.29599 (0.0235066s)
+                </p>
+              </td>
+<td>
+                <p>
+                  1.21534 (0.0266136s)
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  cpp_int(fixed)
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (0.0103647s)
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (0.0152482s)
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (0.018138s)
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (0.021898s)
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  gmp_int
+                </p>
+              </td>
+<td>
+                <p>
+                  2.7938 (0.0289568s)
+                </p>
+              </td>
+<td>
+                <p>
+                  2.55493 (0.038958s)
+                </p>
+              </td>
+<td>
+                <p>
+                  3.12248 (0.0566356s)
+                </p>
+              </td>
+<td>
+                <p>
+                  4.48855 (0.0982904s)
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  tommath_int
+                </p>
+              </td>
+<td>
+                <p>
+                  20.8695 (0.216305s)
+                </p>
+              </td>
+<td>
+                <p>
+                  15.0705 (0.229797s)
+                </p>
+              </td>
+<td>
+                <p>
+                  13.4093 (0.243217s)
+                </p>
+              </td>
+<td>
+                <p>
+                  12.2599 (0.268468s)
+                </p>
+              </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break"><div class="table">
+<a name="boost_multiprecision.perf.integer_performance.operator1"></a><p class="title"><b>Table&#160;1.21.&#160;Operator *</b></p>
+<div class="table-contents"><table class="table" summary="Operator *">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+                <p>
+                  Backend
+                </p>
+              </th>
+<th>
+                <p>
+                  128 Bits
+                </p>
+              </th>
+<th>
+                <p>
+                  256 Bits
+                </p>
+              </th>
+<th>
+                <p>
+                  512 Bits
+                </p>
+              </th>
+<th>
+                <p>
+                  1024 Bits
+                </p>
+              </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+                <p>
+                  cpp_int
+                </p>
+              </td>
+<td>
+                <p>
+                  1.29504 (0.0731032s)
+                </p>
+              </td>
+<td>
+                <p>
+                  1.55431 (0.196132s)
+                </p>
+              </td>
+<td>
+                <p>
+                  1.4363 (0.656569s)
+                </p>
+              </td>
+<td>
+                <p>
+                  1.63701 (2.47859s)
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  cpp_int(fixed)
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (0.0564485s)
+                </p>
+              </td>
+<td>
+                <p>
+                  1.16604 (0.147138s)
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (0.457124s)
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (1.5141s)
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  gmp_int
+                </p>
+              </td>
+<td>
+                <p>
+                  1.19574 (0.0674975s)
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (0.126186s)
+                </p>
+              </td>
+<td>
+                <p>
+                  1.16627 (0.53313s)
+                </p>
+              </td>
+<td>
+                <p>
+                  1.02906 (1.5581s)
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  tommath_int
+                </p>
+              </td>
+<td>
+                <p>
+                  1.97229 (0.111333s)
+                </p>
+              </td>
+<td>
+                <p>
+                  2.67087 (0.337027s)
+                </p>
+              </td>
+<td>
+                <p>
+                  2.13031 (0.973817s)
+                </p>
+              </td>
+<td>
+                <p>
+                  2.05869 (3.11706s)
+                </p>
+              </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break"><div class="table">
+<a name="boost_multiprecision.perf.integer_performance.operator_int1"></a><p class="title"><b>Table&#160;1.22.&#160;Operator *(int)</b></p>
+<div class="table-contents"><table class="table" summary="Operator *(int)">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+                <p>
+                  Backend
+                </p>
+              </th>
+<th>
+                <p>
+                  128 Bits
+                </p>
+              </th>
+<th>
+                <p>
+                  256 Bits
+                </p>
+              </th>
+<th>
+                <p>
+                  512 Bits
+                </p>
+              </th>
+<th>
+                <p>
+                  1024 Bits
+                </p>
+              </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+                <p>
+                  cpp_int
+                </p>
+              </td>
+<td>
+                <p>
+                  1.34609 (0.030315s)
+                </p>
+              </td>
+<td>
+                <p>
+                  1.57086 (0.0407838s)
+                </p>
+              </td>
+<td>
+                <p>
+                  1.60154 (0.0542267s)
+                </p>
+              </td>
+<td>
+                <p>
+                  1.67808 (0.0804984s)
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  cpp_int(fixed)
+                </p>
+              </td>
+<td>
+                <p>
+                  1.29783 (0.0292279s)
+                </p>
+              </td>
+<td>
+                <p>
+                  1.58263 (0.0410894s)
+                </p>
+              </td>
+<td>
+                <p>
+                  1.61543 (0.054697s)
+                </p>
+              </td>
+<td>
+                <p>
+                  1.66841 (0.0800346s)
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  gmp_int
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (0.0225207s)
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (0.0259628s)
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (0.033859s)
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (0.0479706s)
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  tommath_int
+                </p>
+              </td>
+<td>
+                <p>
+                  12.4278 (0.279882s)
+                </p>
+              </td>
+<td>
+                <p>
+                  11.9045 (0.309074s)
+                </p>
+              </td>
+<td>
+                <p>
+                  10.5973 (0.358813s)
+                </p>
+              </td>
+<td>
+                <p>
+                  9.47384 (0.454466s)
+                </p>
+              </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break"><div class="table">
+<a name="boost_multiprecision.perf.integer_performance.operator2"></a><p class="title"><b>Table&#160;1.23.&#160;Operator /</b></p>
+<div class="table-contents"><table class="table" summary="Operator /">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+                <p>
+                  Backend
+                </p>
+              </th>
+<th>
+                <p>
+                  128 Bits
+                </p>
+              </th>
+<th>
+                <p>
+                  256 Bits
+                </p>
+              </th>
+<th>
+                <p>
+                  512 Bits
+                </p>
+              </th>
+<th>
+                <p>
+                  1024 Bits
+                </p>
+              </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+                <p>
+                  cpp_int
+                </p>
+              </td>
+<td>
+                <p>
+                  2.86387 (0.593314s)
+                </p>
+              </td>
+<td>
+                <p>
+                  2.18375 (0.69965s)
+                </p>
+              </td>
+<td>
+                <p>
+                  1.72571 (0.918294s)
+                </p>
+              </td>
+<td>
+                <p>
+                  1.39251 (1.33801s)
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  cpp_int(fixed)
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (0.207172s)
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (0.320389s)
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (0.532127s)
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (0.960856s)
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  gmp_int
+                </p>
+              </td>
+<td>
+                <p>
+                  3.89115 (0.806137s)
+                </p>
+              </td>
+<td>
+                <p>
+                  2.87573 (0.921352s)
+                </p>
+              </td>
+<td>
+                <p>
+                  1.96635 (1.04635s)
+                </p>
+              </td>
+<td>
+                <p>
+                  1.29618 (1.24544s)
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  tommath_int
+                </p>
+              </td>
+<td>
+                <p>
+                  11.9483 (2.47535s)
+                </p>
+              </td>
+<td>
+                <p>
+                  9.35941 (2.99865s)
+                </p>
+              </td>
+<td>
+                <p>
+                  8.79014 (4.67747s)
+                </p>
+              </td>
+<td>
+                <p>
+                  11.8316 (11.3684s)
+                </p>
+              </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break"><div class="table">
+<a name="boost_multiprecision.perf.integer_performance.operator_int2"></a><p class="title"><b>Table&#160;1.24.&#160;Operator /(int)</b></p>
+<div class="table-contents"><table class="table" summary="Operator /(int)">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+                <p>
+                  Backend
+                </p>
+              </th>
+<th>
+                <p>
+                  128 Bits
+                </p>
+              </th>
+<th>
+                <p>
+                  256 Bits
+                </p>
+              </th>
+<th>
+                <p>
+                  512 Bits
+                </p>
+              </th>
+<th>
+                <p>
+                  1024 Bits
+                </p>
+              </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+                <p>
+                  cpp_int
+                </p>
+              </td>
+<td>
+                <p>
+                  5.77003 (0.313196s)
+                </p>
+              </td>
+<td>
+                <p>
+                  4.38067 (0.431864s)
+                </p>
+              </td>
+<td>
+                <p>
+                  3.55054 (0.634559s)
+                </p>
+              </td>
+<td>
+                <p>
+                  2.97898 (1.03205s)
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  cpp_int(fixed)
+                </p>
+              </td>
+<td>
+                <p>
+                  2.48952 (0.135131s)
+                </p>
+              </td>
+<td>
+                <p>
+                  2.59188 (0.255519s)
+                </p>
+              </td>
+<td>
+                <p>
+                  2.56716 (0.458808s)
+                </p>
+              </td>
+<td>
+                <p>
+                  2.52368 (0.874313s)
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  gmp_int
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (0.0542797s)
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (0.0985842s)
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (0.178722s)
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (0.346443s)
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  tommath_int
+                </p>
+              </td>
+<td>
+                <p>
+                  31.6477 (1.71783s)
+                </p>
+              </td>
+<td>
+                <p>
+                  22.8727 (2.25489s)
+                </p>
+              </td>
+<td>
+                <p>
+                  19.9248 (3.56101s)
+                </p>
+              </td>
+<td>
+                <p>
+                  24.3266 (8.42779s)
+                </p>
+              </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break"><div class="table">
+<a name="boost_multiprecision.perf.integer_performance.operator3"></a><p class="title"><b>Table&#160;1.25.&#160;Operator %</b></p>
+<div class="table-contents"><table class="table" summary="Operator %">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+                <p>
+                  Backend
+                </p>
+              </th>
+<th>
+                <p>
+                  128 Bits
+                </p>
+              </th>
+<th>
+                <p>
+                  256 Bits
+                </p>
+              </th>
+<th>
+                <p>
+                  512 Bits
+                </p>
+              </th>
+<th>
+                <p>
+                  1024 Bits
+                </p>
+              </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+                <p>
+                  cpp_int
+                </p>
+              </td>
+<td>
+                <p>
+                  1.9813 (0.357541s)
+                </p>
+              </td>
+<td>
+                <p>
+                  1.55667 (0.460146s)
+                </p>
+              </td>
+<td>
+                <p>
+                  1.35341 (0.681144s)
+                </p>
+              </td>
+<td>
+                <p>
+                  1.19906 (1.10138s)
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  cpp_int(fixed)
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (0.180457s)
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (0.295597s)
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (0.503278s)
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (0.918538s)
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  gmp_int
+                </p>
+              </td>
+<td>
+                <p>
+                  3.50213 (0.631985s)
+                </p>
+              </td>
+<td>
+                <p>
+                  2.33312 (0.689662s)
+                </p>
+              </td>
+<td>
+                <p>
+                  1.57264 (0.791475s)
+                </p>
+              </td>
+<td>
+                <p>
+                  1.07795 (0.99014s)
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  tommath_int
+                </p>
+              </td>
+<td>
+                <p>
+                  12.2393 (2.20868s)
+                </p>
+              </td>
+<td>
+                <p>
+                  10.1123 (2.98915s)
+                </p>
+              </td>
+<td>
+                <p>
+                  9.46676 (4.76442s)
+                </p>
+              </td>
+<td>
+                <p>
+                  12.1795 (11.1873s)
+                </p>
+              </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break"><div class="table">
+<a name="boost_multiprecision.perf.integer_performance.operator_int3"></a><p class="title"><b>Table&#160;1.26.&#160;Operator %(int)</b></p>
+<div class="table-contents"><table class="table" summary="Operator %(int)">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+                <p>
+                  Backend
+                </p>
+              </th>
+<th>
+                <p>
+                  128 Bits
+                </p>
+              </th>
+<th>
+                <p>
+                  256 Bits
+                </p>
+              </th>
+<th>
+                <p>
+                  512 Bits
+                </p>
+              </th>
+<th>
+                <p>
+                  1024 Bits
+                </p>
+              </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+                <p>
+                  cpp_int
+                </p>
+              </td>
+<td>
+                <p>
+                  1.88485 (0.105552s)
+                </p>
+              </td>
+<td>
+                <p>
+                  2.00194 (0.203711s)
+                </p>
+              </td>
+<td>
+                <p>
+                  2.08202 (0.380096s)
+                </p>
+              </td>
+<td>
+                <p>
+                  2.12794 (0.752068s)
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  cpp_int(fixed)
+                </p>
+              </td>
+<td>
+                <p>
+                  1.7474 (0.0978544s)
+                </p>
+              </td>
+<td>
+                <p>
+                  1.88457 (0.191768s)
+                </p>
+              </td>
+<td>
+                <p>
+                  2.0306 (0.37071s)
+                </p>
+              </td>
+<td>
+                <p>
+                  2.0851 (0.736929s)
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  gmp_int
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (0.0560001s)
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (0.101757s)
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (0.182561s)
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (0.353426s)
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  tommath_int
+                </p>
+              </td>
+<td>
+                <p>
+                  30.4466 (1.70501s)
+                </p>
+              </td>
+<td>
+                <p>
+                  22.2997 (2.26915s)
+                </p>
+              </td>
+<td>
+                <p>
+                  19.6199 (3.58184s)
+                </p>
+              </td>
+<td>
+                <p>
+                  24.0694 (8.50676s)
+                </p>
+              </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break"><div class="table">
+<a name="boost_multiprecision.perf.integer_performance.operator___"></a><p class="title"><b>Table&#160;1.27.&#160;Operator &lt;&lt;</b></p>
+<div class="table-contents"><table class="table" summary="Operator &lt;&lt;">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+                <p>
+                  Backend
+                </p>
+              </th>
+<th>
+                <p>
+                  128 Bits
+                </p>
+              </th>
+<th>
+                <p>
+                  256 Bits
+                </p>
+              </th>
+<th>
+                <p>
+                  512 Bits
+                </p>
+              </th>
+<th>
+                <p>
+                  1024 Bits
+                </p>
+              </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+                <p>
+                  cpp_int
+                </p>
+              </td>
+<td>
+                <p>
+                  1.20362 (0.0224696s)
+                </p>
+              </td>
+<td>
+                <p>
+                  1.08555 (0.0294403s)
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (0.0360516s)
+                </p>
+              </td>
+<td>
+                <p>
+                  1.07177 (0.0523935s)
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  cpp_int(fixed)
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (0.0186683s)
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (0.0271201s)
+                </p>
+              </td>
+<td>
+                <p>
+                  1.02126 (0.036818s)
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (0.0488848s)
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  gmp_int
+                </p>
+              </td>
+<td>
+                <p>
+                  1.36706 (0.0255207s)
+                </p>
+              </td>
+<td>
+                <p>
+                  1.12042 (0.0303858s)
+                </p>
+              </td>
+<td>
+                <p>
+                  1.24359 (0.0448335s)
+                </p>
+              </td>
+<td>
+                <p>
+                  1.40143 (0.0685085s)
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  tommath_int
+                </p>
+              </td>
+<td>
+                <p>
+                  2.09357 (0.0390833s)
+                </p>
+              </td>
+<td>
+                <p>
+                  2.4569 (0.0666312s)
+                </p>
+              </td>
+<td>
+                <p>
+                  2.63592 (0.0950291s)
+                </p>
+              </td>
+<td>
+                <p>
+                  3.43638 (0.167987s)
+                </p>
+              </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break"><div class="table">
+<a name="boost_multiprecision.perf.integer_performance.operator4"></a><p class="title"><b>Table&#160;1.28.&#160;Operator &gt;&gt;</b></p>
+<div class="table-contents"><table class="table" summary="Operator &gt;&gt;">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+                <p>
+                  Backend
+                </p>
+              </th>
+<th>
+                <p>
+                  128 Bits
+                </p>
+              </th>
+<th>
+                <p>
+                  256 Bits
+                </p>
+              </th>
+<th>
+                <p>
+                  512 Bits
+                </p>
+              </th>
+<th>
+                <p>
+                  1024 Bits
+                </p>
+              </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+                <p>
+                  cpp_int
+                </p>
+              </td>
+<td>
+                <p>
+                  1.33649 (0.0210319s)
+                </p>
+              </td>
+<td>
+                <p>
+                  1.12919 (0.0266135s)
+                </p>
+              </td>
+<td>
+                <p>
+                  1.10413 (0.0307184s)
+                </p>
+              </td>
+<td>
+                <p>
+                  1.09267 (0.0399373s)
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  cpp_int(fixed)
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (0.0157367s)
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (0.0235686s)
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (0.0278214s)
+                </p>
+              </td>
+<td>
+                <p>
+                  1.05198 (0.0384501s)
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  gmp_int
+                </p>
+              </td>
+<td>
+                <p>
+                  1.72135 (0.0270884s)
+                </p>
+              </td>
+<td>
+                <p>
+                  1.2078 (0.0284661s)
+                </p>
+              </td>
+<td>
+                <p>
+                  1.16066 (0.0322912s)
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (0.0365503s)
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  tommath_int
+                </p>
+              </td>
+<td>
+                <p>
+                  15.4381 (0.242945s)
+                </p>
+              </td>
+<td>
+                <p>
+                  11.8797 (0.279987s)
+                </p>
+              </td>
+<td>
+                <p>
+                  10.9043 (0.303374s)
+                </p>
+              </td>
+<td>
+                <p>
+                  14.0762 (0.514491s)
+                </p>
+              </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break"><div class="table">
+<a name="boost_multiprecision.perf.integer_performance.operator5"></a><p class="title"><b>Table&#160;1.29.&#160;Operator &amp;</b></p>
+<div class="table-contents"><table class="table" summary="Operator &amp;">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+                <p>
+                  Backend
+                </p>
+              </th>
+<th>
+                <p>
+                  128 Bits
+                </p>
+              </th>
+<th>
+                <p>
+                  256 Bits
+                </p>
+              </th>
+<th>
+                <p>
+                  512 Bits
+                </p>
+              </th>
+<th>
+                <p>
+                  1024 Bits
+                </p>
+              </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+                <p>
+                  cpp_int
+                </p>
+              </td>
+<td>
+                <p>
+                  1.65829 (0.0314059s)
+                </p>
+              </td>
+<td>
+                <p>
+                  1.42198 (0.0390384s)
+                </p>
+              </td>
+<td>
+                <p>
+                  1.48578 (0.0498903s)
+                </p>
+              </td>
+<td>
+                <p>
+                  1.51243 (0.0770342s)
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  cpp_int(fixed)
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (0.0189387s)
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (0.0274536s)
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (0.0335786s)
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (0.0509341s)
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  gmp_int
+                </p>
+              </td>
+<td>
+                <p>
+                  2.80248 (0.0530755s)
+                </p>
+              </td>
+<td>
+                <p>
+                  2.39752 (0.0658206s)
+                </p>
+              </td>
+<td>
+                <p>
+                  2.66009 (0.089322s)
+                </p>
+              </td>
+<td>
+                <p>
+                  2.73942 (0.13953s)
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  tommath_int
+                </p>
+              </td>
+<td>
+                <p>
+                  6.95432 (0.131706s)
+                </p>
+              </td>
+<td>
+                <p>
+                  5.4059 (0.148412s)
+                </p>
+              </td>
+<td>
+                <p>
+                  4.56887 (0.153417s)
+                </p>
+              </td>
+<td>
+                <p>
+                  6.5696 (0.334616s)
+                </p>
+              </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break"><div class="table">
+<a name="boost_multiprecision.perf.integer_performance.operator_int4"></a><p class="title"><b>Table&#160;1.30.&#160;Operator &amp;(int)</b></p>
+<div class="table-contents"><table class="table" summary="Operator &amp;(int)">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+                <p>
+                  Backend
+                </p>
+              </th>
+<th>
+                <p>
+                  128 Bits
+                </p>
+              </th>
+<th>
+                <p>
+                  256 Bits
+                </p>
+              </th>
+<th>
+                <p>
+                  512 Bits
+                </p>
+              </th>
+<th>
+                <p>
+                  1024 Bits
+                </p>
+              </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+                <p>
+                  cpp_int
+                </p>
+              </td>
+<td>
+                <p>
+                  1.63285 (0.0472296s)
+                </p>
+              </td>
+<td>
+                <p>
+                  1.43344 (0.0588492s)
+                </p>
+              </td>
+<td>
+                <p>
+                  1.33141 (0.0724386s)
+                </p>
+              </td>
+<td>
+                <p>
+                  1.21353 (0.104144s)
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  cpp_int(fixed)
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (0.0289247s)
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (0.0410546s)
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (0.0544075s)
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (0.0858187s)
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  gmp_int
+                </p>
+              </td>
+<td>
+                <p>
+                  5.24478 (0.151704s)
+                </p>
+              </td>
+<td>
+                <p>
+                  3.81907 (0.15679s)
+                </p>
+              </td>
+<td>
+                <p>
+                  2.77979 (0.151242s)
+                </p>
+              </td>
+<td>
+                <p>
+                  1.84209 (0.158086s)
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  tommath_int
+                </p>
+              </td>
+<td>
+                <p>
+                  11.7257 (0.339163s)
+                </p>
+              </td>
+<td>
+                <p>
+                  8.6379 (0.354625s)
+                </p>
+              </td>
+<td>
+                <p>
+                  6.90411 (0.375636s)
+                </p>
+              </td>
+<td>
+                <p>
+                  7.63253 (0.655013s)
+                </p>
+              </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break"><div class="table">
+<a name="boost_multiprecision.perf.integer_performance.operator6"></a><p class="title"><b>Table&#160;1.31.&#160;Operator ^</b></p>
+<div class="table-contents"><table class="table" summary="Operator ^">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+                <p>
+                  Backend
+                </p>
+              </th>
+<th>
+                <p>
+                  128 Bits
+                </p>
+              </th>
+<th>
+                <p>
+                  256 Bits
+                </p>
+              </th>
+<th>
+                <p>
+                  512 Bits
+                </p>
+              </th>
+<th>
+                <p>
+                  1024 Bits
+                </p>
+              </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+                <p>
+                  cpp_int
+                </p>
+              </td>
+<td>
+                <p>
+                  1.39325 (0.0297525s)
+                </p>
+              </td>
+<td>
+                <p>
+                  1.28821 (0.0385005s)
+                </p>
+              </td>
+<td>
+                <p>
+                  1.18843 (0.0492426s)
+                </p>
+              </td>
+<td>
+                <p>
+                  1.07724 (0.0758668s)
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  cpp_int(fixed)
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (0.0213547s)
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (0.0298868s)
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (0.041435s)
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (0.070427s)
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  gmp_int
+                </p>
+              </td>
+<td>
+                <p>
+                  2.28582 (0.048813s)
+                </p>
+              </td>
+<td>
+                <p>
+                  2.03478 (0.0608129s)
+                </p>
+              </td>
+<td>
+                <p>
+                  2.05655 (0.0852131s)
+                </p>
+              </td>
+<td>
+                <p>
+                  1.92381 (0.135488s)
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  tommath_int
+                </p>
+              </td>
+<td>
+                <p>
+                  6.17078 (0.131775s)
+                </p>
+              </td>
+<td>
+                <p>
+                  4.8567 (0.145151s)
+                </p>
+              </td>
+<td>
+                <p>
+                  3.64659 (0.151097s)
+                </p>
+              </td>
+<td>
+                <p>
+                  4.78192 (0.336776s)
+                </p>
+              </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break"><div class="table">
+<a name="boost_multiprecision.perf.integer_performance.operator_int5"></a><p class="title"><b>Table&#160;1.32.&#160;Operator ^(int)</b></p>
+<div class="table-contents"><table class="table" summary="Operator ^(int)">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+                <p>
+                  Backend
+                </p>
+              </th>
+<th>
+                <p>
+                  128 Bits
+                </p>
+              </th>
+<th>
+                <p>
+                  256 Bits
+                </p>
+              </th>
+<th>
+                <p>
+                  512 Bits
+                </p>
+              </th>
+<th>
+                <p>
+                  1024 Bits
+                </p>
+              </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+                <p>
+                  cpp_int
+                </p>
+              </td>
+<td>
+                <p>
+                  1.89396 (0.0383127s)
+                </p>
+              </td>
+<td>
+                <p>
+                  1.64269 (0.043417s)
+                </p>
+              </td>
+<td>
+                <p>
+                  1.5386 (0.0477162s)
+                </p>
+              </td>
+<td>
+                <p>
+                  1.32247 (0.0568053s)
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  cpp_int(fixed)
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (0.0202288s)
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (0.0264305s)
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (0.0310128s)
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (0.0429539s)
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  gmp_int
+                </p>
+              </td>
+<td>
+                <p>
+                  7.01953 (0.141997s)
+                </p>
+              </td>
+<td>
+                <p>
+                  5.47513 (0.14471s)
+                </p>
+              </td>
+<td>
+                <p>
+                  4.6627 (0.144603s)
+                </p>
+              </td>
+<td>
+                <p>
+                  3.59601 (0.154463s)
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  tommath_int
+                </p>
+              </td>
+<td>
+                <p>
+                  16.2706 (0.329134s)
+                </p>
+              </td>
+<td>
+                <p>
+                  12.9494 (0.342258s)
+                </p>
+              </td>
+<td>
+                <p>
+                  11.3305 (0.35139s)
+                </p>
+              </td>
+<td>
+                <p>
+                  14.1712 (0.608709s)
+                </p>
+              </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break"><div class="table">
+<a name="boost_multiprecision.perf.integer_performance.operator7"></a><p class="title"><b>Table&#160;1.33.&#160;Operator |</b></p>
+<div class="table-contents"><table class="table" summary="Operator |">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+                <p>
+                  Backend
+                </p>
+              </th>
+<th>
+                <p>
+                  128 Bits
+                </p>
+              </th>
+<th>
+                <p>
+                  256 Bits
+                </p>
+              </th>
+<th>
+                <p>
+                  512 Bits
+                </p>
+              </th>
+<th>
+                <p>
+                  1024 Bits
+                </p>
+              </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+                <p>
+                  cpp_int
+                </p>
+              </td>
+<td>
+                <p>
+                  1.34742 (0.0296944s)
+                </p>
+              </td>
+<td>
+                <p>
+                  1.25923 (0.0384846s)
+                </p>
+              </td>
+<td>
+                <p>
+                  1.20517 (0.0493908s)
+                </p>
+              </td>
+<td>
+                <p>
+                  1.10536 (0.0761343s)
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  cpp_int(fixed)
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (0.0220379s)
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (0.030562s)
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (0.0409823s)
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (0.0688775s)
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  gmp_int
+                </p>
+              </td>
+<td>
+                <p>
+                  2.14429 (0.0472558s)
+                </p>
+              </td>
+<td>
+                <p>
+                  1.95901 (0.0598712s)
+                </p>
+              </td>
+<td>
+                <p>
+                  2.07584 (0.0850728s)
+                </p>
+              </td>
+<td>
+                <p>
+                  1.94265 (0.133805s)
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  tommath_int
+                </p>
+              </td>
+<td>
+                <p>
+                  5.98286 (0.13185s)
+                </p>
+              </td>
+<td>
+                <p>
+                  4.65705 (0.142329s)
+                </p>
+              </td>
+<td>
+                <p>
+                  3.85812 (0.158115s)
+                </p>
+              </td>
+<td>
+                <p>
+                  4.81524 (0.331662s)
+                </p>
+              </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break"><div class="table">
+<a name="boost_multiprecision.perf.integer_performance.operator_int6"></a><p class="title"><b>Table&#160;1.34.&#160;Operator |(int)</b></p>
+<div class="table-contents"><table class="table" summary="Operator |(int)">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+                <p>
+                  Backend
+                </p>
+              </th>
+<th>
+                <p>
+                  128 Bits
+                </p>
+              </th>
+<th>
+                <p>
+                  256 Bits
+                </p>
+              </th>
+<th>
+                <p>
+                  512 Bits
+                </p>
+              </th>
+<th>
+                <p>
+                  1024 Bits
+                </p>
+              </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+                <p>
+                  cpp_int
+                </p>
+              </td>
+<td>
+                <p>
+                  1.40808 (0.0389721s)
+                </p>
+              </td>
+<td>
+                <p>
+                  1.65035 (0.0437872s)
+                </p>
+              </td>
+<td>
+                <p>
+                  1.51667 (0.0466144s)
+                </p>
+              </td>
+<td>
+                <p>
+                  1.37806 (0.0582842s)
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  cpp_int(fixed)
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (0.0276775s)
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (0.026532s)
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (0.0307348s)
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (0.0422945s)
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  gmp_int
+                </p>
+              </td>
+<td>
+                <p>
+                  5.31451 (0.147092s)
+                </p>
+              </td>
+<td>
+                <p>
+                  5.37333 (0.142565s)
+                </p>
+              </td>
+<td>
+                <p>
+                  4.86508 (0.149527s)
+                </p>
+              </td>
+<td>
+                <p>
+                  3.74364 (0.158335s)
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  tommath_int
+                </p>
+              </td>
+<td>
+                <p>
+                  11.9312 (0.330226s)
+                </p>
+              </td>
+<td>
+                <p>
+                  12.943 (0.343403s)
+                </p>
+              </td>
+<td>
+                <p>
+                  11.4457 (0.35178s)
+                </p>
+              </td>
+<td>
+                <p>
+                  14.4462 (0.610997s)
+                </p>
+              </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break"><div class="table">
+<a name="boost_multiprecision.perf.integer_performance.operator_gcd"></a><p class="title"><b>Table&#160;1.35.&#160;Operator gcd</b></p>
+<div class="table-contents"><table class="table" summary="Operator gcd">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+                <p>
+                  Backend
+                </p>
+              </th>
+<th>
+                <p>
+                  128 Bits
+                </p>
+              </th>
+<th>
+                <p>
+                  256 Bits
+                </p>
+              </th>
+<th>
+                <p>
+                  512 Bits
+                </p>
+              </th>
+<th>
+                <p>
+                  1024 Bits
+                </p>
+              </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+                <p>
+                  cpp_int
+                </p>
+              </td>
+<td>
+                <p>
+                  1.82514 (4.45586s)
+                </p>
+              </td>
+<td>
+                <p>
+                  1.75955 (10.1748s)
+                </p>
+              </td>
+<td>
+                <p>
+                  1.87025 (25.23s)
+                </p>
+              </td>
+<td>
+                <p>
+                  2.11453 (68.8556s)
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  cpp_int(fixed)
+                </p>
+              </td>
+<td>
+                <p>
+                  1.57965 (3.85654s)
+                </p>
+              </td>
+<td>
+                <p>
+                  1.67404 (9.68027s)
+                </p>
+              </td>
+<td>
+                <p>
+                  1.8405 (24.8287s)
+                </p>
+              </td>
+<td>
+                <p>
+                  2.27588 (74.1096s)
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  gmp_int
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (2.44138s)
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (5.78259s)
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (13.4902s)
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (32.5631s)
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  tommath_int
+                </p>
+              </td>
+<td>
+                <p>
+                  5.01357 (12.24s)
+                </p>
+              </td>
+<td>
+                <p>
+                  4.38161 (25.337s)
+                </p>
+              </td>
+<td>
+                <p>
+                  4.08681 (55.1319s)
+                </p>
+              </td>
+<td>
+                <p>
+                  4.01045 (130.593s)
+                </p>
+              </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break"><div class="table">
+<a name="boost_multiprecision.perf.integer_performance.operator_str"></a><p class="title"><b>Table&#160;1.36.&#160;Operator str</b></p>
+<div class="table-contents"><table class="table" summary="Operator str">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+                <p>
+                  Backend
+                </p>
+              </th>
+<th>
+                <p>
+                  128 Bits
+                </p>
+              </th>
+<th>
+                <p>
+                  256 Bits
+                </p>
+              </th>
+<th>
+                <p>
+                  512 Bits
+                </p>
+              </th>
+<th>
+                <p>
+                  1024 Bits
+                </p>
+              </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+                <p>
+                  cpp_int
+                </p>
+              </td>
+<td>
+                <p>
+                  1.46421 (0.00195137s)
+                </p>
+              </td>
+<td>
+                <p>
+                  1.21669 (0.00319216s)
+                </p>
+              </td>
+<td>
+                <p>
+                  1.25041 (0.00765237s)
+                </p>
+              </td>
+<td>
+                <p>
+                  1.53339 (0.0218096s)
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  cpp_int(fixed)
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (0.00133271s)
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (0.00262366s)
+                </p>
+              </td>
+<td>
+                <p>
+                  1.0109 (0.00618661s)
+                </p>
+              </td>
+<td>
+                <p>
+                  1.24429 (0.0176978s)
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  gmp_int
+                </p>
+              </td>
+<td>
+                <p>
+                  1.7777 (0.00236916s)
+                </p>
+              </td>
+<td>
+                <p>
+                  1.27408 (0.00334274s)
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (0.00611991s)
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (0.0142232s)
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  tommath_int
+                </p>
+              </td>
+<td>
+                <p>
+                  11.9797 (0.0159654s)
+                </p>
+              </td>
+<td>
+                <p>
+                  18.3349 (0.0481046s)
+                </p>
+              </td>
+<td>
+                <p>
+                  18.3681 (0.112411s)
+                </p>
+              </td>
+<td>
+                <p>
+                  25.0355 (0.356085s)
+                </p>
+              </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break">
+</div>
+<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
+<td align="left"></td>
+<td align="right"><div class="copyright-footer">Copyright &#169; 2002-2012 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 http://www.boost.org/LICENSE_1_0.txt)
+      </p>
+</div></td>
+</tr></table>
+<hr>
+<div class="spirit-nav">
+<a accesskey="p" href="float_performance.html"><img src="../../images/prev.png" alt="Prev"></a><a accesskey="u" href="../perf.html"><img src="../../images/up.png" alt="Up"></a><a accesskey="h" href="../../index.html"><img src="../../images/home.png" alt="Home"></a><a accesskey="n" href="rational_performance.html"><img src="../../images/next.png" alt="Next"></a>
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Added: sandbox/big_number/libs/multiprecision/doc/html/boost_multiprecision/perf/rational_performance.html
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+++ sandbox/big_number/libs/multiprecision/doc/html/boost_multiprecision/perf/rational_performance.html	2012-03-30 14:35:38 EDT (Fri, 30 Mar 2012)
@@ -0,0 +1,905 @@
+<html>
+<head>
+<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
+<title>Rational Type Perfomance</title>
+<link rel="stylesheet" href="http://www.boost.org/doc/libs/release/doc/src/boostbook.css" type="text/css">
+<meta name="generator" content="DocBook XSL Stylesheets V1.76.1">
+<link rel="home" href="../../index.html" title="Chapter&#160;1.&#160;Boost.Multiprecision">
+<link rel="up" href="../perf.html" title="Performance Comparison">
+<link rel="prev" href="integer_performance.html" title="Integer Algorithm Perfomance">
+<link rel="next" href="../map.html" title="Roadmap">
+</head>
+<body bgcolor="white" text="black" link="#0000FF" vlink="#840084" alink="#0000FF">
+<div class="spirit-nav">
+<a accesskey="p" href="integer_performance.html"><img src="../../images/prev.png" alt="Prev"></a><a accesskey="u" href="../perf.html"><img src="../../images/up.png" alt="Up"></a><a accesskey="h" href="../../index.html"><img src="../../images/home.png" alt="Home"></a><a accesskey="n" href="../map.html"><img src="../../images/next.png" alt="Next"></a>
+</div>
+<div class="section boost_multiprecision_perf_rational_performance">
+<div class="titlepage"><div><div><h3 class="title">
+<a name="boost_multiprecision.perf.rational_performance"></a><a class="link" href="rational_performance.html" title="Rational Type Perfomance">Rational
+      Type Perfomance</a>
+</h3></div></div></div>
+<p>
+        Note that these tests are carefully designed to test performance of the underlying
+        algorithms and not memory allocation or variable copying. As usual, performance
+        results should be taken with a healthy dose of scepticism, and real-world
+        performance may vary widely depending upon the specifics of the program.
+        In each table relative times are given first, with the best performer given
+        a score of 1. Total actual times are given in brackets, measured in seconds
+        for 500000 operations.
+      </p>
+<p>
+        Test code was compiled with Microsoft Visual Studio 2010 with all optimisations
+        turned on (/Ox), and used MPIR-2.3.0 and MPFR-3.0.0.
+        The tests were run on 32-bit Windows Vista machine.
+      </p>
+<div class="table">
+<a name="boost_multiprecision.perf.rational_performance.operator__"></a><p class="title"><b>Table&#160;1.37.&#160;Operator +</b></p>
+<div class="table-contents"><table class="table" summary="Operator +">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+                <p>
+                  Backend
+                </p>
+              </th>
+<th>
+                <p>
+                  128 Bits
+                </p>
+              </th>
+<th>
+                <p>
+                  256 Bits
+                </p>
+              </th>
+<th>
+                <p>
+                  512 Bits
+                </p>
+              </th>
+<th>
+                <p>
+                  1024 Bits
+                </p>
+              </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+                <p>
+                  cpp_rational
+                </p>
+              </td>
+<td>
+                <p>
+                  5.91758 (18.1263s)
+                </p>
+              </td>
+<td>
+                <p>
+                  6.60754 (44.1182s)
+                </p>
+              </td>
+<td>
+                <p>
+                  6.65334 (103.169s)
+                </p>
+              </td>
+<td>
+                <p>
+                  6.44717 (244.055s)
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  mpq_rational
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (3.06312s)
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (6.67695s)
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (15.5064s)
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (37.8546s)
+                </p>
+              </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break"><div class="table">
+<a name="boost_multiprecision.perf.rational_performance.operator___int_"></a><p class="title"><b>Table&#160;1.38.&#160;Operator +(int)</b></p>
+<div class="table-contents"><table class="table" summary="Operator +(int)">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+                <p>
+                  Backend
+                </p>
+              </th>
+<th>
+                <p>
+                  128 Bits
+                </p>
+              </th>
+<th>
+                <p>
+                  256 Bits
+                </p>
+              </th>
+<th>
+                <p>
+                  512 Bits
+                </p>
+              </th>
+<th>
+                <p>
+                  1024 Bits
+                </p>
+              </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+                <p>
+                  cpp_rational
+                </p>
+              </td>
+<td>
+                <p>
+                  3.98512 (2.67249s)
+                </p>
+              </td>
+<td>
+                <p>
+                  4.24335 (3.04309s)
+                </p>
+              </td>
+<td>
+                <p>
+                  4.65009 (3.83046s)
+                </p>
+              </td>
+<td>
+                <p>
+                  5.45832 (5.08346s)
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  mpq_rational
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (0.670618s)
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (0.717144s)
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (0.823739s)
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (0.931322s)
+                </p>
+              </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break"><div class="table">
+<a name="boost_multiprecision.perf.rational_performance.operator0"></a><p class="title"><b>Table&#160;1.39.&#160;Operator -</b></p>
+<div class="table-contents"><table class="table" summary="Operator -">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+                <p>
+                  Backend
+                </p>
+              </th>
+<th>
+                <p>
+                  128 Bits
+                </p>
+              </th>
+<th>
+                <p>
+                  256 Bits
+                </p>
+              </th>
+<th>
+                <p>
+                  512 Bits
+                </p>
+              </th>
+<th>
+                <p>
+                  1024 Bits
+                </p>
+              </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+                <p>
+                  cpp_rational
+                </p>
+              </td>
+<td>
+                <p>
+                  5.91504 (18.2374s)
+                </p>
+              </td>
+<td>
+                <p>
+                  6.55676 (43.8659s)
+                </p>
+              </td>
+<td>
+                <p>
+                  6.66239 (103.481s)
+                </p>
+              </td>
+<td>
+                <p>
+                  6.47224 (244.887s)
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  mpq_rational
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (3.08322s)
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (6.69018s)
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (15.5321s)
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (37.8365s)
+                </p>
+              </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break"><div class="table">
+<a name="boost_multiprecision.perf.rational_performance.operator_int0"></a><p class="title"><b>Table&#160;1.40.&#160;Operator -(int)</b></p>
+<div class="table-contents"><table class="table" summary="Operator -(int)">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+                <p>
+                  Backend
+                </p>
+              </th>
+<th>
+                <p>
+                  128 Bits
+                </p>
+              </th>
+<th>
+                <p>
+                  256 Bits
+                </p>
+              </th>
+<th>
+                <p>
+                  512 Bits
+                </p>
+              </th>
+<th>
+                <p>
+                  1024 Bits
+                </p>
+              </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+                <p>
+                  cpp_rational
+                </p>
+              </td>
+<td>
+                <p>
+                  3.96173 (2.66785s)
+                </p>
+              </td>
+<td>
+                <p>
+                  4.36532 (3.09023s)
+                </p>
+              </td>
+<td>
+                <p>
+                  4.59363 (3.74494s)
+                </p>
+              </td>
+<td>
+                <p>
+                  5.43075 (5.09156s)
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  mpq_rational
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (0.673405s)
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (0.707904s)
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (0.815246s)
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (0.937541s)
+                </p>
+              </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break"><div class="table">
+<a name="boost_multiprecision.perf.rational_performance.operator1"></a><p class="title"><b>Table&#160;1.41.&#160;Operator *</b></p>
+<div class="table-contents"><table class="table" summary="Operator *">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+                <p>
+                  Backend
+                </p>
+              </th>
+<th>
+                <p>
+                  128 Bits
+                </p>
+              </th>
+<th>
+                <p>
+                  256 Bits
+                </p>
+              </th>
+<th>
+                <p>
+                  512 Bits
+                </p>
+              </th>
+<th>
+                <p>
+                  1024 Bits
+                </p>
+              </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+                <p>
+                  cpp_rational
+                </p>
+              </td>
+<td>
+                <p>
+                  5.59286 (32.3559s)
+                </p>
+              </td>
+<td>
+                <p>
+                  6.54125 (82.4247s)
+                </p>
+              </td>
+<td>
+                <p>
+                  6.8815 (197.198s)
+                </p>
+              </td>
+<td>
+                <p>
+                  6.84066 (473.057s)
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  mpq_rational
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (5.78521s)
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (12.6008s)
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (28.6562s)
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (69.1537s)
+                </p>
+              </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break"><div class="table">
+<a name="boost_multiprecision.perf.rational_performance.operator_int1"></a><p class="title"><b>Table&#160;1.42.&#160;Operator *(int)</b></p>
+<div class="table-contents"><table class="table" summary="Operator *(int)">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+                <p>
+                  Backend
+                </p>
+              </th>
+<th>
+                <p>
+                  128 Bits
+                </p>
+              </th>
+<th>
+                <p>
+                  256 Bits
+                </p>
+              </th>
+<th>
+                <p>
+                  512 Bits
+                </p>
+              </th>
+<th>
+                <p>
+                  1024 Bits
+                </p>
+              </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+                <p>
+                  cpp_rational
+                </p>
+              </td>
+<td>
+                <p>
+                  2.70193 (3.1466s)
+                </p>
+              </td>
+<td>
+                <p>
+                  3.10134 (3.79056s)
+                </p>
+              </td>
+<td>
+                <p>
+                  3.659 (4.93935s)
+                </p>
+              </td>
+<td>
+                <p>
+                  4.61372 (6.89845s)
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  mpq_rational
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (1.16457s)
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (1.22223s)
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (1.34992s)
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (1.4952s)
+                </p>
+              </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break"><div class="table">
+<a name="boost_multiprecision.perf.rational_performance.operator2"></a><p class="title"><b>Table&#160;1.43.&#160;Operator /</b></p>
+<div class="table-contents"><table class="table" summary="Operator /">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+                <p>
+                  Backend
+                </p>
+              </th>
+<th>
+                <p>
+                  128 Bits
+                </p>
+              </th>
+<th>
+                <p>
+                  256 Bits
+                </p>
+              </th>
+<th>
+                <p>
+                  512 Bits
+                </p>
+              </th>
+<th>
+                <p>
+                  1024 Bits
+                </p>
+              </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+                <p>
+                  cpp_rational
+                </p>
+              </td>
+<td>
+                <p>
+                  4.36846 (63.9498s)
+                </p>
+              </td>
+<td>
+                <p>
+                  5.52565 (145.045s)
+                </p>
+              </td>
+<td>
+                <p>
+                  6.18331 (328.069s)
+                </p>
+              </td>
+<td>
+                <p>
+                  6.49822 (784.806s)
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  mpq_rational
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (14.639s)
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (26.2494s)
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (53.0571s)
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (120.772s)
+                </p>
+              </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break"><div class="table">
+<a name="boost_multiprecision.perf.rational_performance.operator_int2"></a><p class="title"><b>Table&#160;1.44.&#160;Operator /(int)</b></p>
+<div class="table-contents"><table class="table" summary="Operator /(int)">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+                <p>
+                  Backend
+                </p>
+              </th>
+<th>
+                <p>
+                  128 Bits
+                </p>
+              </th>
+<th>
+                <p>
+                  256 Bits
+                </p>
+              </th>
+<th>
+                <p>
+                  512 Bits
+                </p>
+              </th>
+<th>
+                <p>
+                  1024 Bits
+                </p>
+              </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+                <p>
+                  cpp_rational
+                </p>
+              </td>
+<td>
+                <p>
+                  2.26643 (3.13785s)
+                </p>
+              </td>
+<td>
+                <p>
+                  2.57125 (3.76931s)
+                </p>
+              </td>
+<td>
+                <p>
+                  3.20872 (5.06758s)
+                </p>
+              </td>
+<td>
+                <p>
+                  4.02177 (7.17803s)
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  mpq_rational
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (1.38449s)
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (1.46594s)
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (1.57931s)
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (1.78479s)
+                </p>
+              </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break"><div class="table">
+<a name="boost_multiprecision.perf.rational_performance.operator_str"></a><p class="title"><b>Table&#160;1.45.&#160;Operator str</b></p>
+<div class="table-contents"><table class="table" summary="Operator str">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+                <p>
+                  Backend
+                </p>
+              </th>
+<th>
+                <p>
+                  128 Bits
+                </p>
+              </th>
+<th>
+                <p>
+                  256 Bits
+                </p>
+              </th>
+<th>
+                <p>
+                  512 Bits
+                </p>
+              </th>
+<th>
+                <p>
+                  1024 Bits
+                </p>
+              </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+                <p>
+                  cpp_rational
+                </p>
+              </td>
+<td>
+                <p>
+                  5.40493 (0.0199393s)
+                </p>
+              </td>
+<td>
+                <p>
+                  8.55089 (0.0511907s)
+                </p>
+              </td>
+<td>
+                <p>
+                  9.91026 (0.118839s)
+                </p>
+              </td>
+<td>
+                <p>
+                  9.93546 (0.285367s)
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  mpq_rational
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (0.00368909s)
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (0.00598659s)
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (0.0119915s)
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1</strong></span> (0.028722s)
+                </p>
+              </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break">
+</div>
+<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
+<td align="left"></td>
+<td align="right"><div class="copyright-footer">Copyright &#169; 2002-2012 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 http://www.boost.org/LICENSE_1_0.txt)
+      </p>
+</div></td>
+</tr></table>
+<hr>
+<div class="spirit-nav">
+<a accesskey="p" href="integer_performance.html"><img src="../../images/prev.png" alt="Prev"></a><a accesskey="u" href="../perf.html"><img src="../../images/up.png" alt="Up"></a><a accesskey="h" href="../../index.html"><img src="../../images/home.png" alt="Home"></a><a accesskey="n" href="../map.html"><img src="../../images/next.png" alt="Next"></a>
+</div>
+</body>
+</html>

Added: sandbox/big_number/libs/multiprecision/doc/html/boost_multiprecision/perf/realworld.html
==============================================================================
--- (empty file)
+++ sandbox/big_number/libs/multiprecision/doc/html/boost_multiprecision/perf/realworld.html	2012-03-30 14:35:38 EDT (Fri, 30 Mar 2012)
@@ -0,0 +1,278 @@
+<html>
+<head>
+<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
+<title>Floating Point Real World Tests</title>
+<link rel="stylesheet" href="http://www.boost.org/doc/libs/release/doc/src/boostbook.css" type="text/css">
+<meta name="generator" content="DocBook XSL Stylesheets V1.76.1">
+<link rel="home" href="../../index.html" title="Chapter&#160;1.&#160;Boost.Multiprecision">
+<link rel="up" href="../perf.html" title="Performance Comparison">
+<link rel="prev" href="../perf.html" title="Performance Comparison">
+<link rel="next" href="int_real_world.html" title="Integer Real World Tests">
+</head>
+<body bgcolor="white" text="black" link="#0000FF" vlink="#840084" alink="#0000FF">
+<div class="spirit-nav">
+<a accesskey="p" href="../perf.html"><img src="../../images/prev.png" alt="Prev"></a><a accesskey="u" href="../perf.html"><img src="../../images/up.png" alt="Up"></a><a accesskey="h" href="../../index.html"><img src="../../images/home.png" alt="Home"></a><a accesskey="n" href="int_real_world.html"><img src="../../images/next.png" alt="Next"></a>
+</div>
+<div class="section boost_multiprecision_perf_realworld">
+<div class="titlepage"><div><div><h3 class="title">
+<a name="boost_multiprecision.perf.realworld"></a><a class="link" href="realworld.html" title="Floating Point Real World Tests">Floating Point Real
+      World Tests</a>
+</h3></div></div></div>
+<p>
+        These tests test the total time taken to execute all of Boost.Math's test
+        cases for these functions. In each case the best performing library gets
+        a relative score of 1, with the total execution time given in brackets. The
+        first three libraries listed are the various floating point types provided
+        by this library, while for comparison, two popular C++ front-ends to MPFR ( mpfr_class
+        and mpreal) are
+        also shown.
+      </p>
+<p>
+        Test code was compiled with Microsoft Visual Studio 2010 with all optimisations
+        turned on (/Ox), and used MPIR-2.3.0 and MPFR-3.0.0.
+        The tests were run on 32-bit Windows Vista machine.
+      </p>
+<div class="table">
+<a name="boost_multiprecision.perf.realworld.bessel_function_performance"></a><p class="title"><b>Table&#160;1.6.&#160;Bessel Function Performance</b></p>
+<div class="table-contents"><table class="table" summary="Bessel Function Performance">
+<colgroup>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+                <p>
+                  Library
+                </p>
+              </th>
+<th>
+                <p>
+                  50 Decimal Digits
+                </p>
+              </th>
+<th>
+                <p>
+                  100 Decimal Digits
+                </p>
+              </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+                <p>
+                  mpfr_float
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1.0</strong></span> (6.472s)
+                </p>
+              </td>
+<td>
+                <p>
+                  1.193 (10.154s)
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  mpf_float
+                </p>
+              </td>
+<td>
+                <p>
+                  1.801 (11.662s)
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1.0</strong></span>(8.511s)
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  cpp_dec_float
+                </p>
+              </td>
+<td>
+                <p>
+                  3.13 (20.285s)
+                </p>
+              </td>
+<td>
+                <p>
+                  2.46 (21.019s)
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  mpfr_class
+                </p>
+              </td>
+<td>
+                <p>
+                  1.001 (6.480s)
+                </p>
+              </td>
+<td>
+                <p>
+                  1.15(9.805s)
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  mpreal
+                </p>
+              </td>
+<td>
+                <p>
+                  1.542 (9.981s)
+                </p>
+              </td>
+<td>
+                <p>
+                  1.61 (13.702s)
+                </p>
+              </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break"><div class="table">
+<a name="boost_multiprecision.perf.realworld.non_central_t_distribution_performance"></a><p class="title"><b>Table&#160;1.7.&#160;Non-Central T Distribution Performance</b></p>
+<div class="table-contents"><table class="table" summary="Non-Central T Distribution Performance">
+<colgroup>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+                <p>
+                  Library
+                </p>
+              </th>
+<th>
+                <p>
+                  50 Decimal Digits
+                </p>
+              </th>
+<th>
+                <p>
+                  100 Decimal Digits
+                </p>
+              </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+                <p>
+                  mpfr_float
+                </p>
+              </td>
+<td>
+                <p>
+                  1.308 (258.09s)
+                </p>
+              </td>
+<td>
+                <p>
+                  1.30 (516.74s)
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  mpf_float
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1.0</strong></span> (197.30s)
+                </p>
+              </td>
+<td>
+                <p>
+                  <span class="bold"><strong>1.0</strong></span>(397.30s)
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  cpp_dec_float
+                </p>
+              </td>
+<td>
+                <p>
+                  1.695 (334.50s)
+                </p>
+              </td>
+<td>
+                <p>
+                  2.68 (1064.53s)
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  mpfr_class
+                </p>
+              </td>
+<td>
+                <p>
+                  1.35 (266.39s)
+                </p>
+              </td>
+<td>
+                <p>
+                  1.323 (525.74s)
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  mpreal
+                </p>
+              </td>
+<td>
+                <p>
+                  1.75 (346.64s)
+                </p>
+              </td>
+<td>
+                <p>
+                  1.635 (649.94s)
+                </p>
+              </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break">
+</div>
+<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
+<td align="left"></td>
+<td align="right"><div class="copyright-footer">Copyright &#169; 2002-2012 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 http://www.boost.org/LICENSE_1_0.txt)
+      </p>
+</div></td>
+</tr></table>
+<hr>
+<div class="spirit-nav">
+<a accesskey="p" href="../perf.html"><img src="../../images/prev.png" alt="Prev"></a><a accesskey="u" href="../perf.html"><img src="../../images/up.png" alt="Up"></a><a accesskey="h" href="../../index.html"><img src="../../images/home.png" alt="Home"></a><a accesskey="n" href="int_real_world.html"><img src="../../images/next.png" alt="Next"></a>
+</div>
+</body>
+</html>

Added: sandbox/big_number/libs/multiprecision/doc/html/boost_multiprecision/ref.html
==============================================================================
--- (empty file)
+++ sandbox/big_number/libs/multiprecision/doc/html/boost_multiprecision/ref.html	2012-03-30 14:35:38 EDT (Fri, 30 Mar 2012)
@@ -0,0 +1,44 @@
+<html>
+<head>
+<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
+<title>Reference</title>
+<link rel="stylesheet" href="http://www.boost.org/doc/libs/release/doc/src/boostbook.css" type="text/css">
+<meta name="generator" content="DocBook XSL Stylesheets V1.76.1">
+<link rel="home" href="../index.html" title="Chapter&#160;1.&#160;Boost.Multiprecision">
+<link rel="up" href="../index.html" title="Chapter&#160;1.&#160;Boost.Multiprecision">
+<link rel="prev" href="tut/primetest.html" title="Primality Testing">
+<link rel="next" href="ref/mp_number.html" title="mp_number">
+</head>
+<body bgcolor="white" text="black" link="#0000FF" vlink="#840084" alink="#0000FF">
+<div class="spirit-nav">
+<a accesskey="p" href="tut/primetest.html"><img src="../images/prev.png" alt="Prev"></a><a accesskey="u" href="../index.html"><img src="../images/up.png" alt="Up"></a><a accesskey="h" href="../index.html"><img src="../images/home.png" alt="Home"></a><a accesskey="n" href="ref/mp_number.html"><img src="../images/next.png" alt="Next"></a>
+</div>
+<div class="section boost_multiprecision_ref">
+<div class="titlepage"><div><div><h2 class="title" style="clear: both">
+<a name="boost_multiprecision.ref"></a><a class="link" href="ref.html" title="Reference">Reference</a>
+</h2></div></div></div>
+<div class="toc"><dl>
+<dt><span class="section">mp_number</span></dt>
+<dt><span class="section">cpp_int</span></dt>
+<dt><span class="section">gmp_int</span></dt>
+<dt><span class="section">tom_int</span></dt>
+<dt><span class="section">gmp_float</span></dt>
+<dt><span class="section">mpfr_float_backend</span></dt>
+<dt><span class="section">cpp_dec_float</span></dt>
+<dt><span class="section">Backend Requirements</span></dt>
+</dl></div>
+</div>
+<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
+<td align="left"></td>
+<td align="right"><div class="copyright-footer">Copyright &#169; 2002-2012 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 http://www.boost.org/LICENSE_1_0.txt)
+      </p>
+</div></td>
+</tr></table>
+<hr>
+<div class="spirit-nav">
+<a accesskey="p" href="tut/primetest.html"><img src="../images/prev.png" alt="Prev"></a><a accesskey="u" href="../index.html"><img src="../images/up.png" alt="Up"></a><a accesskey="h" href="../index.html"><img src="../images/home.png" alt="Home"></a><a accesskey="n" href="ref/mp_number.html"><img src="../images/next.png" alt="Next"></a>
+</div>
+</body>
+</html>

Added: sandbox/big_number/libs/multiprecision/doc/html/boost_multiprecision/ref/backendconc.html
==============================================================================
--- (empty file)
+++ sandbox/big_number/libs/multiprecision/doc/html/boost_multiprecision/ref/backendconc.html	2012-03-30 14:35:38 EDT (Fri, 30 Mar 2012)
@@ -0,0 +1,2295 @@
+<html>
+<head>
+<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
+<title>Backend Requirements</title>
+<link rel="stylesheet" href="http://www.boost.org/doc/libs/release/doc/src/boostbook.css" type="text/css">
+<meta name="generator" content="DocBook XSL Stylesheets V1.76.1">
+<link rel="home" href="../../index.html" title="Chapter&#160;1.&#160;Boost.Multiprecision">
+<link rel="up" href="../ref.html" title="Reference">
+<link rel="prev" href="cpp_dec_ref.html" title="cpp_dec_float">
+<link rel="next" href="../perf.html" title="Performance Comparison">
+</head>
+<body bgcolor="white" text="black" link="#0000FF" vlink="#840084" alink="#0000FF">
+<div class="spirit-nav">
+<a accesskey="p" href="cpp_dec_ref.html"><img src="../../images/prev.png" alt="Prev"></a><a accesskey="u" href="../ref.html"><img src="../../images/up.png" alt="Up"></a><a accesskey="h" href="../../index.html"><img src="../../images/home.png" alt="Home"></a><a accesskey="n" href="../perf.html"><img src="../../images/next.png" alt="Next"></a>
+</div>
+<div class="section boost_multiprecision_ref_backendconc">
+<div class="titlepage"><div><div><h3 class="title">
+<a name="boost_multiprecision.ref.backendconc"></a><a class="link" href="backendconc.html" title="Backend Requirements">Backend Requirements</a>
+</h3></div></div></div>
+<p>
+        The requirements on the <code class="computeroutput"><span class="identifier">Backend</span></code>
+        template argument to <code class="computeroutput"><span class="identifier">mp_number</span></code>
+        are split up into compulsory requirements, and optional requirements that
+        are either to improve performance or provide optional features.
+      </p>
+<p>
+        In the following tables, type B is the <code class="computeroutput"><span class="identifier">Backend</span></code>
+        template arument to <code class="computeroutput"><span class="identifier">mp_number</span></code>,
+        <code class="computeroutput"><span class="identifier">b</span></code> and <code class="computeroutput"><span class="identifier">b2</span></code>
+        are a variables of type B, <code class="computeroutput"><span class="identifier">cb</span></code>
+        and <code class="computeroutput"><span class="identifier">cb2</span></code> are constant variables
+        of type B, <code class="computeroutput"><span class="identifier">a</span></code> is a variable
+        of Arithmetic type, <code class="computeroutput"><span class="identifier">s</span></code> is
+        a variable of type <code class="computeroutput"><span class="keyword">const</span> <span class="keyword">char</span><span class="special">*</span></code>, <code class="computeroutput"><span class="identifier">ui</span></code>
+        is a variable of type <code class="computeroutput"><span class="keyword">unsigned</span></code>,
+        <code class="computeroutput"><span class="identifier">bb</span></code> is a variable of type
+        <code class="computeroutput"><span class="keyword">bool</span></code>, <code class="computeroutput"><span class="identifier">pa</span></code>
+        is a variable of type pointer-to-arithmetic-type, <code class="computeroutput"><span class="identifier">exp</span></code>
+        is a variable of type <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">exp_type</span></code>, <code class="computeroutput"><span class="identifier">pexp</span></code>
+        is a variable of type <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">exp_type</span><span class="special">*</span></code>,
+        B2 is another type that meets these requirements, b2 is a variable of type
+        B2.
+      </p>
+<div class="table">
+<a name="boost_multiprecision.ref.backendconc.compulsory_requirements_on_the_backend_type_"></a><p class="title"><b>Table&#160;1.4.&#160;Compulsory Requirements on the Backend type.</b></p>
+<div class="table-contents"><table class="table" summary="Compulsory Requirements on the Backend type.">
+<colgroup>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+                <p>
+                  Expression
+                </p>
+              </th>
+<th>
+                <p>
+                  Return Type
+                </p>
+              </th>
+<th>
+                <p>
+                  Comments
+                </p>
+              </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">signed_types</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="identifier">mpl</span><span class="special">::</span><span class="identifier">list</span><span class="special">&lt;</span><span class="identifier">type</span><span class="special">-</span><span class="identifier">list</span><span class="special">&gt;</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  A list of signed integral types that can be assigned to type B.
+                  The types shall be listed in order of size, smallest first, and
+                  shall terminate in the type that is <code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">intmax_t</span></code>.
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">unsigned_types</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="identifier">mpl</span><span class="special">::</span><span class="identifier">list</span><span class="special">&lt;</span><span class="identifier">type</span><span class="special">-</span><span class="identifier">list</span><span class="special">&gt;</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  A list of unsigned integral types that can be assigned to type
+                  B. The types shall be listed in order of size, smallest first,
+                  and shall terminate in the type that is <code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">uintmax_t</span></code>.
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">float_types</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="identifier">mpl</span><span class="special">::</span><span class="identifier">list</span><span class="special">&lt;</span><span class="identifier">type</span><span class="special">-</span><span class="identifier">list</span><span class="special">&gt;</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  A list of floating-point types that can be assigned to type B.The
+                  types shall be listed in order of size, smallest first, and shall
+                  terminate in type <code class="computeroutput"><span class="keyword">long</span> <span class="keyword">double</span></code>.
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">exponent_type</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  A signed integral type.
+                </p>
+              </td>
+<td>
+                <p>
+                  The type of the exponent of type B.
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="identifier">B</span><span class="special">()</span></code>
+                </p>
+              </td>
+<td>
+              </td>
+<td>
+                <p>
+                  Default constructor.
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="identifier">B</span><span class="special">(</span><span class="identifier">cb</span><span class="special">)</span></code>
+                </p>
+              </td>
+<td>
+              </td>
+<td>
+                <p>
+                  Copy Constructor.
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="identifier">b</span> <span class="special">=</span>
+                  <span class="identifier">b</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="identifier">B</span><span class="special">&amp;</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  Assignment operator.
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="identifier">b</span> <span class="special">=</span>
+                  <span class="identifier">a</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="identifier">B</span><span class="special">&amp;</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  Assignment from an Arithmetic type. The type of <code class="computeroutput"><span class="identifier">a</span></code>
+                  shall be listed in one of the type lists <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">signed_types</span></code>,
+                  <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">unsigned_types</span></code> or <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">float_types</span></code>.
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="identifier">b</span> <span class="special">=</span>
+                  <span class="identifier">s</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="identifier">B</span><span class="special">&amp;</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  Assignment from a string.
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="identifier">b</span><span class="special">.</span><span class="identifier">swap</span><span class="special">(</span><span class="identifier">b</span><span class="special">)</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="keyword">void</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  Swaps the contents of its arguments.
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="identifier">cb</span><span class="special">.</span><span class="identifier">str</span><span class="special">(</span><span class="identifier">ui</span><span class="special">,</span>
+                  <span class="identifier">bb</span><span class="special">)</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">string</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  Returns the string representation of <code class="computeroutput"><span class="identifier">b</span></code>
+                  with <code class="computeroutput"><span class="identifier">ui</span></code> digits
+                  and in scientific format if <code class="computeroutput"><span class="identifier">bb</span></code>
+                  is <code class="computeroutput"><span class="keyword">true</span></code>. If <code class="computeroutput"><span class="identifier">ui</span></code> is zero, then returns as many
+                  digits as are required to reconstruct the original value.
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="identifier">b</span><span class="special">.</span><span class="identifier">negate</span><span class="special">()</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="keyword">void</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  Negates <code class="computeroutput"><span class="identifier">b</span></code>.
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="identifier">cb</span><span class="special">.</span><span class="identifier">compare</span><span class="special">(</span><span class="identifier">cb2</span><span class="special">)</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="keyword">int</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  Compares <code class="computeroutput"><span class="identifier">cb</span></code> and
+                  <code class="computeroutput"><span class="identifier">cb2</span></code>, returns a
+                  value less than zero if <code class="computeroutput"><span class="identifier">cb</span>
+                  <span class="special">&lt;</span> <span class="identifier">cb2</span></code>,
+                  a value greater than zero if <code class="computeroutput"><span class="identifier">cb</span>
+                  <span class="special">&gt;</span> <span class="identifier">cb2</span></code>
+                  and zero if <code class="computeroutput"><span class="identifier">cb</span> <span class="special">==</span> <span class="identifier">cb2</span></code>.
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="identifier">cb</span><span class="special">.</span><span class="identifier">compare</span><span class="special">(</span><span class="identifier">a</span><span class="special">)</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="keyword">int</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  Compares <code class="computeroutput"><span class="identifier">cb</span></code> and
+                  <code class="computeroutput"><span class="identifier">a</span></code>, returns a value
+                  less than zero if <code class="computeroutput"><span class="identifier">cb</span>
+                  <span class="special">&lt;</span> <span class="identifier">a</span></code>,
+                  a value greater than zero if <code class="computeroutput"><span class="identifier">cb</span>
+                  <span class="special">&gt;</span> <span class="identifier">a</span></code>
+                  and zero if <code class="computeroutput"><span class="identifier">cb</span> <span class="special">==</span> <span class="identifier">a</span></code>.
+                  The type of <code class="computeroutput"><span class="identifier">a</span></code> shall
+                  be listed in one of the type lists <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">signed_types</span></code>,
+                  <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">unsigned_types</span></code> or <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">float_types</span></code>.
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="identifier">eval_add</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span>
+                  <span class="identifier">cb</span><span class="special">)</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="keyword">void</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  Adds <code class="computeroutput"><span class="identifier">cb</span></code> to <code class="computeroutput"><span class="identifier">b</span></code>.
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="identifier">eval_subtract</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span>
+                  <span class="identifier">cb</span><span class="special">)</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="keyword">void</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  Subtracts <code class="computeroutput"><span class="identifier">cb</span></code> from
+                  <code class="computeroutput"><span class="identifier">b</span></code>.
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="identifier">eval_multiply</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span>
+                  <span class="identifier">cb</span><span class="special">)</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="keyword">void</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  Multiplies <code class="computeroutput"><span class="identifier">b</span></code> by
+                  <code class="computeroutput"><span class="identifier">cb</span></code>.
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="identifier">eval_divide</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span>
+                  <span class="identifier">cb</span><span class="special">)</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="keyword">void</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  Divides <code class="computeroutput"><span class="identifier">b</span></code> by <code class="computeroutput"><span class="identifier">cb</span></code>.
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="identifier">eval_modulus</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span>
+                  <span class="identifier">cb</span><span class="special">)</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="keyword">void</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  Computes <code class="computeroutput"><span class="identifier">b</span> <span class="special">%=</span>
+                  <span class="identifier">cb</span></code>, only required when
+                  <code class="computeroutput"><span class="identifier">B</span></code> is an integer
+                  type.
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="identifier">eval_bitwise_and</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span> <span class="identifier">cb</span><span class="special">)</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="keyword">void</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  Computes <code class="computeroutput"><span class="identifier">b</span> <span class="special">&amp;=</span>
+                  <span class="identifier">cb</span></code>, only required when
+                  <code class="computeroutput"><span class="identifier">B</span></code> is an integer
+                  type.
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="identifier">eval_bitwise_or</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span> <span class="identifier">cb</span><span class="special">)</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="keyword">void</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  Computes <code class="computeroutput"><span class="identifier">b</span> <span class="special">|=</span>
+                  <span class="identifier">cb</span></code>, only required when
+                  <code class="computeroutput"><span class="identifier">B</span></code> is an integer
+                  type.
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="identifier">eval_bitwise_xor</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span> <span class="identifier">cb</span><span class="special">)</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="keyword">void</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  Computes <code class="computeroutput"><span class="identifier">b</span> <span class="special">^=</span>
+                  <span class="identifier">cb</span></code>, only required when
+                  <code class="computeroutput"><span class="identifier">B</span></code> is an integer
+                  type.
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="identifier">eval_complement</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span> <span class="identifier">cb</span><span class="special">)</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="keyword">void</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  Computes the ones-complement of <code class="computeroutput"><span class="identifier">cb</span></code>
+                  and stores the result in <code class="computeroutput"><span class="identifier">b</span></code>,
+                  only required when <code class="computeroutput"><span class="identifier">B</span></code>
+                  is an integer type.
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="identifier">eval_left_shift</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span> <span class="identifier">ui</span><span class="special">)</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="keyword">void</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  Computes <code class="computeroutput"><span class="identifier">b</span> <span class="special">&lt;&lt;=</span>
+                  <span class="identifier">ui</span></code>, only required when
+                  <code class="computeroutput"><span class="identifier">B</span></code> is an integer
+                  type.
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="identifier">eval_right_shift</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span> <span class="identifier">ui</span><span class="special">)</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="keyword">void</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  Computes <code class="computeroutput"><span class="identifier">b</span> <span class="special">&gt;&gt;=</span>
+                  <span class="identifier">ui</span></code>, only required when
+                  <code class="computeroutput"><span class="identifier">B</span></code> is an integer
+                  type.
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="identifier">eval_convert_to</span><span class="special">(</span><span class="identifier">pa</span><span class="special">,</span> <span class="identifier">cb</span><span class="special">)</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="keyword">void</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  Converts <code class="computeroutput"><span class="identifier">cb</span></code> to
+                  the type of <code class="computeroutput"><span class="special">*</span><span class="identifier">pa</span></code>
+                  and store the result in <code class="computeroutput"><span class="special">*</span><span class="identifier">pa</span></code>. Type <code class="computeroutput"><span class="identifier">B</span></code>
+                  shall support conversion to at least types <code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">intmax_t</span></code>,
+                  <code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">uintmax_t</span></code> and <code class="computeroutput"><span class="keyword">long</span>
+                  <span class="keyword">long</span></code>. Conversion to other
+                  arithmetic types can then be synthesised using other operations.
+                  Conversions to other types are entirely optional.
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="identifier">eval_frexp</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span>
+                  <span class="identifier">cb</span><span class="special">,</span>
+                  <span class="identifier">pexp</span><span class="special">)</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="keyword">void</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  Stores values in <code class="computeroutput"><span class="identifier">b</span></code>
+                  and <code class="computeroutput"><span class="special">*</span><span class="identifier">pexp</span></code>
+                  such that the value of <code class="computeroutput"><span class="identifier">cb</span></code>
+                  is b * 2<sup>*pexp</sup>, only required when <code class="computeroutput"><span class="identifier">B</span></code>
+                  is a floating-point type.
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="identifier">eval_ldexp</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span>
+                  <span class="identifier">cb</span><span class="special">,</span>
+                  <span class="identifier">exp</span><span class="special">)</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="keyword">void</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  Stores a value in <code class="computeroutput"><span class="identifier">b</span></code>
+                  that is cb * 2<sup>exp</sup>, only required when <code class="computeroutput"><span class="identifier">B</span></code>
+                  is a floating-point type.
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="identifier">eval_floor</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span>
+                  <span class="identifier">cb</span><span class="special">)</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="keyword">void</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  Stores the floor of <code class="computeroutput"><span class="identifier">cb</span></code>
+                  in <code class="computeroutput"><span class="identifier">b</span></code>, only required
+                  when <code class="computeroutput"><span class="identifier">B</span></code> is a floating-point
+                  type.
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="identifier">eval_ceil</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span>
+                  <span class="identifier">cb</span><span class="special">)</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="keyword">void</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  Stores the ceiling of <code class="computeroutput"><span class="identifier">cb</span></code>
+                  in <code class="computeroutput"><span class="identifier">b</span></code>, only required
+                  when <code class="computeroutput"><span class="identifier">B</span></code> is a floating-point
+                  type.
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="identifier">eval_sqrt</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span>
+                  <span class="identifier">cb</span><span class="special">)</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="keyword">void</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  Stores the square root of <code class="computeroutput"><span class="identifier">cb</span></code>
+                  in <code class="computeroutput"><span class="identifier">b</span></code>, only required
+                  when <code class="computeroutput"><span class="identifier">B</span></code> is a floating-point
+                  type.
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="identifier">boost</span><span class="special">::</span><span class="identifier">multiprecision</span><span class="special">::</span><span class="identifier">number_category</span><span class="special">&lt;</span><span class="identifier">B</span><span class="special">&gt;::</span><span class="identifier">type</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="identifier">mpl</span><span class="special">::</span><span class="identifier">int_</span><span class="special">&lt;</span><span class="identifier">N</span><span class="special">&gt;</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="identifier">N</span></code> is one of the
+                  values <code class="computeroutput"><span class="identifier">number_kind_integer</span></code>,
+                  <code class="computeroutput"><span class="identifier">number_kind_floating_point</span></code>,
+                  <code class="computeroutput"><span class="identifier">number_kind_rational</span></code>
+                  or <code class="computeroutput"><span class="identifier">number_kind_fixed_point</span></code>.
+                  Defaults to <code class="computeroutput"><span class="identifier">number_kind_floating_point</span></code>.
+                </p>
+              </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break"><div class="table">
+<a name="boost_multiprecision.ref.backendconc.optional_requirements_on_the_backend_type"></a><p class="title"><b>Table&#160;1.5.&#160;Optional Requirements on the Backend Type</b></p>
+<div class="table-contents"><table class="table" summary="Optional Requirements on the Backend Type">
+<colgroup>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+                <p>
+                  Expression
+                </p>
+              </th>
+<th>
+                <p>
+                  Returns
+                </p>
+              </th>
+<th>
+                <p>
+                  Comments
+                </p>
+              </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="identifier">B</span><span class="special">(</span><span class="identifier">b2</span><span class="special">)</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="identifier">B</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  Copy constructor from a different back-end type.
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="identifier">b</span> <span class="special">=</span>
+                  <span class="identifier">b2</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="identifier">b</span><span class="special">&amp;</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  Assignment operator from a different back-end type.
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="identifier">assign_components</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">a</span><span class="special">)</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="keyword">void</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  Assigns to <code class="computeroutput"><span class="identifier">b</span></code> the
+                  two components in the following arguments. Only applies to rational
+                  and complex number types.
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="identifier">assign_components</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span> <span class="identifier">b2</span><span class="special">,</span> <span class="identifier">b2</span><span class="special">)</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="keyword">void</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  Assigns to <code class="computeroutput"><span class="identifier">b</span></code> the
+                  two components in the following arguments. Only applies to rational
+                  and complex number types.
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="identifier">eval_add</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span>
+                  <span class="identifier">a</span><span class="special">)</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="keyword">void</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  Adds <code class="computeroutput"><span class="identifier">a</span></code> to <code class="computeroutput"><span class="identifier">b</span></code>. The type of <code class="computeroutput"><span class="identifier">a</span></code> shall be listed in one of the
+                  type lists <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">signed_types</span></code>, <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">unsigned_types</span></code>
+                  or <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">float_types</span></code>.
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="identifier">eval_subtract</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span>
+                  <span class="identifier">a</span><span class="special">)</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="keyword">void</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  Subtracts <code class="computeroutput"><span class="identifier">a</span></code> from
+                  <code class="computeroutput"><span class="identifier">b</span></code>. The type of
+                  <code class="computeroutput"><span class="identifier">a</span></code> shall be listed
+                  in one of the type lists <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">signed_types</span></code>,
+                  <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">unsigned_types</span></code> or <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">float_types</span></code>.
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="identifier">eval_multiply</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span>
+                  <span class="identifier">a</span><span class="special">)</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="keyword">void</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  Multiplies <code class="computeroutput"><span class="identifier">b</span></code> by
+                  <code class="computeroutput"><span class="identifier">a</span></code>. The type of
+                  <code class="computeroutput"><span class="identifier">a</span></code> shall be listed
+                  in one of the type lists <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">signed_types</span></code>,
+                  <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">unsigned_types</span></code> or <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">float_types</span></code>.
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="identifier">eval_divide</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span>
+                  <span class="identifier">a</span><span class="special">)</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="keyword">void</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  Divides <code class="computeroutput"><span class="identifier">b</span></code> by <code class="computeroutput"><span class="identifier">a</span></code>. The type of <code class="computeroutput"><span class="identifier">a</span></code> shall be listed in one of the
+                  type lists <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">signed_types</span></code>, <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">unsigned_types</span></code>
+                  or <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">float_types</span></code>.
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="identifier">eval_modulus</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span>
+                  <span class="identifier">a</span><span class="special">)</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="keyword">void</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  Computes <code class="computeroutput"><span class="identifier">b</span> <span class="special">%=</span>
+                  <span class="identifier">cb</span></code>, only required when
+                  <code class="computeroutput"><span class="identifier">B</span></code> is an integer
+                  type. The type of <code class="computeroutput"><span class="identifier">a</span></code>
+                  shall be listed in one of the type lists <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">signed_types</span></code>,
+                  <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">unsigned_types</span></code> or <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">float_types</span></code>.
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="identifier">eval_bitwise_and</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span> <span class="identifier">a</span><span class="special">)</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="keyword">void</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  Computes <code class="computeroutput"><span class="identifier">b</span> <span class="special">&amp;=</span>
+                  <span class="identifier">cb</span></code>, only required when
+                  <code class="computeroutput"><span class="identifier">B</span></code> is an integer
+                  type. The type of <code class="computeroutput"><span class="identifier">a</span></code>
+                  shall be listed in one of the type lists <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">signed_types</span></code>,
+                  <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">unsigned_types</span></code> or <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">float_types</span></code>.
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="identifier">eval_bitwise_or</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span> <span class="identifier">a</span><span class="special">)</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="keyword">void</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  Computes <code class="computeroutput"><span class="identifier">b</span> <span class="special">|=</span>
+                  <span class="identifier">cb</span></code>, only required when
+                  <code class="computeroutput"><span class="identifier">B</span></code> is an integer
+                  type. The type of <code class="computeroutput"><span class="identifier">a</span></code>
+                  shall be listed in one of the type lists <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">signed_types</span></code>,
+                  <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">unsigned_types</span></code> or <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">float_types</span></code>.
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="identifier">eval_bitwise_xor</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span> <span class="identifier">a</span><span class="special">)</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="keyword">void</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  Computes <code class="computeroutput"><span class="identifier">b</span> <span class="special">^=</span>
+                  <span class="identifier">cb</span></code>, only required when
+                  <code class="computeroutput"><span class="identifier">B</span></code> is an integer
+                  type. The type of <code class="computeroutput"><span class="identifier">a</span></code>
+                  shall be listed in one of the type lists <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">signed_types</span></code>,
+                  <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">unsigned_types</span></code> or <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">float_types</span></code>.
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="identifier">eval_add</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span>
+                  <span class="identifier">cb</span><span class="special">,</span>
+                  <span class="identifier">cb2</span><span class="special">)</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="keyword">void</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  Add <code class="computeroutput"><span class="identifier">cb</span></code> to <code class="computeroutput"><span class="identifier">cb2</span></code> and stores the result in
+                  <code class="computeroutput"><span class="identifier">b</span></code>.
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="identifier">eval_subtract</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span>
+                  <span class="identifier">cb</span><span class="special">,</span>
+                  <span class="identifier">cb2</span><span class="special">)</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="keyword">void</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  Subtracts <code class="computeroutput"><span class="identifier">cb2</span></code> from
+                  <code class="computeroutput"><span class="identifier">cb</span></code> and stores the
+                  result in <code class="computeroutput"><span class="identifier">b</span></code>.
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="identifier">eval_multiply</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span>
+                  <span class="identifier">cb</span><span class="special">,</span>
+                  <span class="identifier">cb2</span><span class="special">)</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="keyword">void</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  Multiplies <code class="computeroutput"><span class="identifier">cb</span></code> by
+                  <code class="computeroutput"><span class="identifier">cb2</span></code> and stores
+                  the result in <code class="computeroutput"><span class="identifier">b</span></code>.
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="identifier">eval_divide</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span>
+                  <span class="identifier">cb</span><span class="special">,</span>
+                  <span class="identifier">cb2</span><span class="special">)</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="keyword">void</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  Divides <code class="computeroutput"><span class="identifier">cb</span></code> by
+                  <code class="computeroutput"><span class="identifier">cb2</span></code> and stores
+                  the result in <code class="computeroutput"><span class="identifier">b</span></code>.
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="identifier">eval_add</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span>
+                  <span class="identifier">cb</span><span class="special">,</span>
+                  <span class="identifier">a</span><span class="special">)</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="keyword">void</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  Add <code class="computeroutput"><span class="identifier">cb</span></code> to <code class="computeroutput"><span class="identifier">a</span></code> and stores the result in <code class="computeroutput"><span class="identifier">b</span></code>. The type of <code class="computeroutput"><span class="identifier">a</span></code> shall be listed in one of the
+                  type lists <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">signed_types</span></code>, <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">unsigned_types</span></code>
+                  or <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">float_types</span></code>.
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="identifier">eval_subtract</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span>
+                  <span class="identifier">cb</span><span class="special">,</span>
+                  <span class="identifier">a</span><span class="special">)</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="keyword">void</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  Subtracts <code class="computeroutput"><span class="identifier">a</span></code> from
+                  <code class="computeroutput"><span class="identifier">cb</span></code> and stores the
+                  result in <code class="computeroutput"><span class="identifier">b</span></code>. The
+                  type of <code class="computeroutput"><span class="identifier">a</span></code> shall
+                  be listed in one of the type lists <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">signed_types</span></code>,
+                  <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">unsigned_types</span></code> or <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">float_types</span></code>.
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="identifier">eval_multiply</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span>
+                  <span class="identifier">cb</span><span class="special">,</span>
+                  <span class="identifier">a</span><span class="special">)</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="keyword">void</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  Multiplies <code class="computeroutput"><span class="identifier">cb</span></code> by
+                  <code class="computeroutput"><span class="identifier">a</span></code> and stores the
+                  result in <code class="computeroutput"><span class="identifier">b</span></code>. The
+                  type of <code class="computeroutput"><span class="identifier">a</span></code> shall
+                  be listed in one of the type lists <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">signed_types</span></code>,
+                  <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">unsigned_types</span></code> or <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">float_types</span></code>.
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="identifier">eval_divide</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span>
+                  <span class="identifier">cb</span><span class="special">,</span>
+                  <span class="identifier">a</span><span class="special">)</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="keyword">void</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  Divides <code class="computeroutput"><span class="identifier">cb</span></code> by
+                  <code class="computeroutput"><span class="identifier">a</span></code> and stores the
+                  result in <code class="computeroutput"><span class="identifier">b</span></code>. The
+                  type of <code class="computeroutput"><span class="identifier">a</span></code> shall
+                  be listed in one of the type lists <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">signed_types</span></code>,
+                  <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">unsigned_types</span></code> or <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">float_types</span></code>.
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="identifier">eval_modulus</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span>
+                  <span class="identifier">cb</span><span class="special">,</span>
+                  <span class="identifier">cb2</span><span class="special">)</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="keyword">void</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  Computes <code class="computeroutput"><span class="identifier">cb</span> <span class="special">%</span>
+                  <span class="identifier">cb2</span></code> and stores the result
+                  in <code class="computeroutput"><span class="identifier">b</span></code>, only required
+                  when <code class="computeroutput"><span class="identifier">B</span></code> is an integer
+                  type.
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="identifier">eval_bitwise_and</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span> <span class="identifier">cb</span><span class="special">,</span> <span class="identifier">cb2</span><span class="special">)</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="keyword">void</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  Computes <code class="computeroutput"><span class="identifier">cb</span> <span class="special">&amp;</span>
+                  <span class="identifier">cb2</span></code> and stores the result
+                  in <code class="computeroutput"><span class="identifier">b</span></code>, only required
+                  when <code class="computeroutput"><span class="identifier">B</span></code> is an integer
+                  type.
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="identifier">eval_bitwise_or</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span> <span class="identifier">cb</span><span class="special">,</span> <span class="identifier">cb2</span><span class="special">)</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="keyword">void</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  Computes <code class="computeroutput"><span class="identifier">cb</span> <span class="special">|</span>
+                  <span class="identifier">cb2</span></code> and stores the result
+                  in <code class="computeroutput"><span class="identifier">b</span></code>, only required
+                  when <code class="computeroutput"><span class="identifier">B</span></code> is an integer
+                  type.
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="identifier">eval_bitwise_xor</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span> <span class="identifier">cb</span><span class="special">,</span> <span class="identifier">cb2</span><span class="special">)</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="keyword">void</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  Computes <code class="computeroutput"><span class="identifier">cb</span> <span class="special">^</span>
+                  <span class="identifier">cb2</span></code> and stores the result
+                  in <code class="computeroutput"><span class="identifier">b</span></code>, only required
+                  when <code class="computeroutput"><span class="identifier">B</span></code> is an integer
+                  type.
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="identifier">eval_add</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span>
+                  <span class="identifier">a</span><span class="special">,</span>
+                  <span class="identifier">cb</span><span class="special">)</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="keyword">void</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  Add <code class="computeroutput"><span class="identifier">a</span></code> to <code class="computeroutput"><span class="identifier">cb</span></code> and stores the result in
+                  <code class="computeroutput"><span class="identifier">b</span></code>. The type of
+                  <code class="computeroutput"><span class="identifier">a</span></code> shall be listed
+                  in one of the type lists <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">signed_types</span></code>,
+                  <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">unsigned_types</span></code> or <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">float_types</span></code>.
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="identifier">eval_subtract</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span>
+                  <span class="identifier">a</span><span class="special">,</span>
+                  <span class="identifier">cb</span><span class="special">)</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="keyword">void</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  Subtracts <code class="computeroutput"><span class="identifier">cb</span></code> from
+                  <code class="computeroutput"><span class="identifier">a</span></code> and stores the
+                  result in <code class="computeroutput"><span class="identifier">b</span></code>. The
+                  type of <code class="computeroutput"><span class="identifier">a</span></code> shall
+                  be listed in one of the type lists <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">signed_types</span></code>,
+                  <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">unsigned_types</span></code> or <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">float_types</span></code>.
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="identifier">eval_multiply</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span>
+                  <span class="identifier">a</span><span class="special">,</span>
+                  <span class="identifier">cb</span><span class="special">)</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="keyword">void</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  Multiplies <code class="computeroutput"><span class="identifier">a</span></code> by
+                  <code class="computeroutput"><span class="identifier">cb</span></code> and stores the
+                  result in <code class="computeroutput"><span class="identifier">b</span></code>. The
+                  type of <code class="computeroutput"><span class="identifier">a</span></code> shall
+                  be listed in one of the type lists <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">signed_types</span></code>,
+                  <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">unsigned_types</span></code> or <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">float_types</span></code>.
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="identifier">eval_divide</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span>
+                  <span class="identifier">a</span><span class="special">,</span>
+                  <span class="identifier">cb</span><span class="special">)</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="keyword">void</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  Divides <code class="computeroutput"><span class="identifier">a</span></code> by <code class="computeroutput"><span class="identifier">cb</span></code> and stores the result in
+                  <code class="computeroutput"><span class="identifier">b</span></code>. The type of
+                  <code class="computeroutput"><span class="identifier">a</span></code> shall be listed
+                  in one of the type lists <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">signed_types</span></code>,
+                  <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">unsigned_types</span></code> or <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">float_types</span></code>.
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="identifier">eval_modulus</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span>
+                  <span class="identifier">cb</span><span class="special">,</span>
+                  <span class="identifier">a</span><span class="special">)</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="keyword">void</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  Computes <code class="computeroutput"><span class="identifier">cb</span> <span class="special">%</span>
+                  <span class="identifier">a</span></code> and stores the result
+                  in <code class="computeroutput"><span class="identifier">b</span></code>, only required
+                  when <code class="computeroutput"><span class="identifier">B</span></code> is an integer
+                  type. The type of <code class="computeroutput"><span class="identifier">a</span></code>
+                  shall be listed in one of the type lists <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">signed_types</span></code>,
+                  <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">unsigned_types</span></code> or <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">float_types</span></code>.
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="identifier">eval_bitwise_and</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span> <span class="identifier">cb</span><span class="special">,</span> <span class="identifier">a</span><span class="special">)</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="keyword">void</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  Computes <code class="computeroutput"><span class="identifier">cb</span> <span class="special">&amp;</span>
+                  <span class="identifier">a</span></code> and stores the result
+                  in <code class="computeroutput"><span class="identifier">b</span></code>, only required
+                  when <code class="computeroutput"><span class="identifier">B</span></code> is an integer
+                  type. The type of <code class="computeroutput"><span class="identifier">a</span></code>
+                  shall be listed in one of the type lists <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">signed_types</span></code>,
+                  <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">unsigned_types</span></code> or <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">float_types</span></code>.
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="identifier">eval_bitwise_or</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span> <span class="identifier">cb</span><span class="special">,</span> <span class="identifier">a</span><span class="special">)</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="keyword">void</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  Computes <code class="computeroutput"><span class="identifier">cb</span> <span class="special">|</span>
+                  <span class="identifier">a</span></code> and stores the result
+                  in <code class="computeroutput"><span class="identifier">b</span></code>, only required
+                  when <code class="computeroutput"><span class="identifier">B</span></code> is an integer
+                  type. The type of <code class="computeroutput"><span class="identifier">a</span></code>
+                  shall be listed in one of the type lists <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">signed_types</span></code>,
+                  <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">unsigned_types</span></code> or <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">float_types</span></code>.
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="identifier">eval_bitwise_xor</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span> <span class="identifier">cb</span><span class="special">,</span> <span class="identifier">a</span><span class="special">)</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="keyword">void</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  Computes <code class="computeroutput"><span class="identifier">cb</span> <span class="special">^</span>
+                  <span class="identifier">a</span></code> and stores the result
+                  in <code class="computeroutput"><span class="identifier">b</span></code>, only required
+                  when <code class="computeroutput"><span class="identifier">B</span></code> is an integer
+                  type. The type of <code class="computeroutput"><span class="identifier">a</span></code>
+                  shall be listed in one of the type lists <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">signed_types</span></code>,
+                  <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">unsigned_types</span></code> or <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">float_types</span></code>.
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="identifier">eval_modulus</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span>
+                  <span class="identifier">a</span><span class="special">,</span>
+                  <span class="identifier">cb</span><span class="special">)</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="keyword">void</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  Computes <code class="computeroutput"><span class="identifier">cb</span> <span class="special">%</span>
+                  <span class="identifier">a</span></code> and stores the result
+                  in <code class="computeroutput"><span class="identifier">b</span></code>, only required
+                  when <code class="computeroutput"><span class="identifier">B</span></code> is an integer
+                  type. The type of <code class="computeroutput"><span class="identifier">a</span></code>
+                  shall be listed in one of the type lists <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">signed_types</span></code>,
+                  <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">unsigned_types</span></code> or <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">float_types</span></code>.
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="identifier">eval_bitwise_and</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">cb</span><span class="special">)</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="keyword">void</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  Computes <code class="computeroutput"><span class="identifier">cb</span> <span class="special">&amp;</span>
+                  <span class="identifier">a</span></code> and stores the result
+                  in <code class="computeroutput"><span class="identifier">b</span></code>, only required
+                  when <code class="computeroutput"><span class="identifier">B</span></code> is an integer
+                  type. The type of <code class="computeroutput"><span class="identifier">a</span></code>
+                  shall be listed in one of the type lists <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">signed_types</span></code>,
+                  <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">unsigned_types</span></code> or <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">float_types</span></code>.
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="identifier">eval_bitwise_or</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">cb</span><span class="special">)</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="keyword">void</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  Computes <code class="computeroutput"><span class="identifier">cb</span> <span class="special">|</span>
+                  <span class="identifier">a</span></code> and stores the result
+                  in <code class="computeroutput"><span class="identifier">b</span></code>, only required
+                  when <code class="computeroutput"><span class="identifier">B</span></code> is an integer
+                  type. The type of <code class="computeroutput"><span class="identifier">a</span></code>
+                  shall be listed in one of the type lists <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">signed_types</span></code>,
+                  <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">unsigned_types</span></code> or <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">float_types</span></code>.
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="identifier">eval_bitwise_xor</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">cb</span><span class="special">)</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="keyword">void</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  Computes <code class="computeroutput"><span class="identifier">a</span> <span class="special">^</span>
+                  <span class="identifier">cb</span></code> and stores the result
+                  in <code class="computeroutput"><span class="identifier">b</span></code>, only required
+                  when <code class="computeroutput"><span class="identifier">B</span></code> is an integer
+                  type. The type of <code class="computeroutput"><span class="identifier">a</span></code>
+                  shall be listed in one of the type lists <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">signed_types</span></code>,
+                  <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">unsigned_types</span></code> or <code class="computeroutput"><span class="identifier">B</span><span class="special">::</span><span class="identifier">float_types</span></code>.
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="identifier">eval_left_shift</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span> <span class="identifier">cb</span><span class="special">,</span> <span class="identifier">ui</span><span class="special">)</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="keyword">void</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  Computes <code class="computeroutput"><span class="identifier">cb</span> <span class="special">&lt;&lt;</span>
+                  <span class="identifier">ui</span></code> and stores the result
+                  in <code class="computeroutput"><span class="identifier">b</span></code>, only required
+                  when <code class="computeroutput"><span class="identifier">B</span></code> is an integer
+                  type.
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="identifier">eval_right_shift</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span> <span class="identifier">cb</span><span class="special">,</span> <span class="identifier">ui</span><span class="special">)</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="keyword">void</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  Computes <code class="computeroutput"><span class="identifier">cb</span> <span class="special">&gt;&gt;</span>
+                  <span class="identifier">ui</span></code> and stores the result
+                  in <code class="computeroutput"><span class="identifier">b</span></code>, only required
+                  when <code class="computeroutput"><span class="identifier">B</span></code> is an integer
+                  type.
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="identifier">eval_increment</span><span class="special">(</span><span class="identifier">b</span><span class="special">)</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  void
+                </p>
+              </td>
+<td>
+                <p>
+                  Increments the value of <code class="computeroutput"><span class="identifier">b</span></code>
+                  by one.
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="identifier">eval_decrement</span><span class="special">(</span><span class="identifier">b</span><span class="special">)</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  void
+                </p>
+              </td>
+<td>
+                <p>
+                  Decrements the value of <code class="computeroutput"><span class="identifier">b</span></code>
+                  by one.
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="identifier">eval_is_zero</span><span class="special">(</span><span class="identifier">cb</span><span class="special">)</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="keyword">bool</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  Returns <code class="computeroutput"><span class="keyword">true</span></code> if <code class="computeroutput"><span class="identifier">cb</span></code> is zero, otherwise <code class="computeroutput"><span class="keyword">false</span></code>
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="identifier">eval_get_sign</span><span class="special">(</span><span class="identifier">cb</span><span class="special">)</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="keyword">int</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  Returns a value &lt; zero if <code class="computeroutput"><span class="identifier">cb</span></code>
+                  is negative, a value &gt; zero if <code class="computeroutput"><span class="identifier">cb</span></code>
+                  is positive, and zero if <code class="computeroutput"><span class="identifier">cb</span></code>
+                  is zero.
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="identifier">eval_abs</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span>
+                  <span class="identifier">cb</span><span class="special">)</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="keyword">void</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  Set <code class="computeroutput"><span class="identifier">b</span></code> to the absolute
+                  value of <code class="computeroutput"><span class="identifier">cb</span></code>.
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="identifier">eval_fabs</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span>
+                  <span class="identifier">cb</span><span class="special">)</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="keyword">void</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  Set <code class="computeroutput"><span class="identifier">b</span></code> to the absolute
+                  value of <code class="computeroutput"><span class="identifier">cb</span></code>.
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="identifier">eval_fpclassify</span><span class="special">(</span><span class="identifier">cb</span><span class="special">)</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="keyword">int</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  Returns one of the same values returned by <code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">fpclassify</span></code>.
+                  Only required when <code class="computeroutput"><span class="identifier">B</span></code>
+                  is an floating-point type.
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="identifier">eval_trunc</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span>
+                  <span class="identifier">cb</span><span class="special">)</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="keyword">void</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  Performs the equivalent operation to <code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">trunc</span></code>
+                  on argument <code class="computeroutput"><span class="identifier">cb</span></code>
+                  and stores the result in <code class="computeroutput"><span class="identifier">b</span></code>.
+                  Only required when <code class="computeroutput"><span class="identifier">B</span></code>
+                  is an floating-point type.
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="identifier">eval_round</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span>
+                  <span class="identifier">cb</span><span class="special">,</span>
+                  <span class="identifier">cb2</span><span class="special">)</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="keyword">void</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  Performs the equivalent operation to <code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">round</span></code>
+                  on argument <code class="computeroutput"><span class="identifier">cb</span></code>
+                  and stores the result in <code class="computeroutput"><span class="identifier">b</span></code>.
+                  Only required when <code class="computeroutput"><span class="identifier">B</span></code>
+                  is an floating-point type.
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="identifier">eval_exp</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span>
+                  <span class="identifier">cb</span><span class="special">)</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="keyword">void</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  Performs the equivalent operation to <code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">exp</span></code>
+                  on argument <code class="computeroutput"><span class="identifier">cb</span></code>
+                  and stores the result in <code class="computeroutput"><span class="identifier">b</span></code>.
+                  Only required when <code class="computeroutput"><span class="identifier">B</span></code>
+                  is an floating-point type.
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="identifier">eval_log</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span>
+                  <span class="identifier">cb</span><span class="special">)</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="keyword">void</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  Performs the equivalent operation to <code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">log</span></code>
+                  on argument <code class="computeroutput"><span class="identifier">cb</span></code>
+                  and stores the result in <code class="computeroutput"><span class="identifier">b</span></code>.
+                  Only required when <code class="computeroutput"><span class="identifier">B</span></code>
+                  is an floating-point type.
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="identifier">eval_log10</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span>
+                  <span class="identifier">cb</span><span class="special">)</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="keyword">void</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  Performs the equivalent operation to <code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">log10</span></code>
+                  on argument <code class="computeroutput"><span class="identifier">cb</span></code>
+                  and stores the result in <code class="computeroutput"><span class="identifier">b</span></code>.
+                  Only required when <code class="computeroutput"><span class="identifier">B</span></code>
+                  is an floating-point type.
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="identifier">eval_sin</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span>
+                  <span class="identifier">cb</span><span class="special">)</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="keyword">void</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  Performs the equivalent operation to <code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">sin</span></code>
+                  on argument <code class="computeroutput"><span class="identifier">cb</span></code>
+                  and stores the result in <code class="computeroutput"><span class="identifier">b</span></code>.
+                  Only required when <code class="computeroutput"><span class="identifier">B</span></code>
+                  is an floating-point type.
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="identifier">eval_cos</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span>
+                  <span class="identifier">cb</span><span class="special">)</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="keyword">void</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  Performs the equivalent operation to <code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">cos</span></code>
+                  on argument <code class="computeroutput"><span class="identifier">cb</span></code>
+                  and stores the result in <code class="computeroutput"><span class="identifier">b</span></code>.
+                  Only required when <code class="computeroutput"><span class="identifier">B</span></code>
+                  is an floating-point type.
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="identifier">eval_tan</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span>
+                  <span class="identifier">cb</span><span class="special">)</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="keyword">void</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  Performs the equivalent operation to <code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">exp</span></code>
+                  on argument <code class="computeroutput"><span class="identifier">cb</span></code>
+                  and stores the result in <code class="computeroutput"><span class="identifier">b</span></code>.
+                  Only required when <code class="computeroutput"><span class="identifier">B</span></code>
+                  is an floating-point type.
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="identifier">eval_asin</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span>
+                  <span class="identifier">cb</span><span class="special">)</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="keyword">void</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  Performs the equivalent operation to <code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">asin</span></code>
+                  on argument <code class="computeroutput"><span class="identifier">cb</span></code>
+                  and stores the result in <code class="computeroutput"><span class="identifier">b</span></code>.
+                  Only required when <code class="computeroutput"><span class="identifier">B</span></code>
+                  is an floating-point type.
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="identifier">eval_acos</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span>
+                  <span class="identifier">cb</span><span class="special">)</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="keyword">void</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  Performs the equivalent operation to <code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">acos</span></code>
+                  on argument <code class="computeroutput"><span class="identifier">cb</span></code>
+                  and stores the result in <code class="computeroutput"><span class="identifier">b</span></code>.
+                  Only required when <code class="computeroutput"><span class="identifier">B</span></code>
+                  is an floating-point type.
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="identifier">eval_atan</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span>
+                  <span class="identifier">cb</span><span class="special">)</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="keyword">void</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  Performs the equivalent operation to <code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">atan</span></code>
+                  on argument <code class="computeroutput"><span class="identifier">cb</span></code>
+                  and stores the result in <code class="computeroutput"><span class="identifier">b</span></code>.
+                  Only required when <code class="computeroutput"><span class="identifier">B</span></code>
+                  is an floating-point type.
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="identifier">eval_sinh</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span>
+                  <span class="identifier">cb</span><span class="special">)</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="keyword">void</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  Performs the equivalent operation to <code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">sinh</span></code>
+                  on argument <code class="computeroutput"><span class="identifier">cb</span></code>
+                  and stores the result in <code class="computeroutput"><span class="identifier">b</span></code>.
+                  Only required when <code class="computeroutput"><span class="identifier">B</span></code>
+                  is an floating-point type.
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="identifier">eval_cosh</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span>
+                  <span class="identifier">cb</span><span class="special">)</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="keyword">void</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  Performs the equivalent operation to <code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">cosh</span></code>
+                  on argument <code class="computeroutput"><span class="identifier">cb</span></code>
+                  and stores the result in <code class="computeroutput"><span class="identifier">b</span></code>.
+                  Only required when <code class="computeroutput"><span class="identifier">B</span></code>
+                  is an floating-point type.
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="identifier">eval_tanh</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span>
+                  <span class="identifier">cb</span><span class="special">)</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="keyword">void</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  Performs the equivalent operation to <code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">tanh</span></code>
+                  on argument <code class="computeroutput"><span class="identifier">cb</span></code>
+                  and stores the result in <code class="computeroutput"><span class="identifier">b</span></code>.
+                  Only required when <code class="computeroutput"><span class="identifier">B</span></code>
+                  is an floating-point type.
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="identifier">eval_fmod</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span>
+                  <span class="identifier">cb</span><span class="special">,</span>
+                  <span class="identifier">cb2</span><span class="special">)</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="keyword">void</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  Performs the equivalent operation to <code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">fmod</span></code>
+                  on arguments <code class="computeroutput"><span class="identifier">cb</span></code>
+                  and <code class="computeroutput"><span class="identifier">cb2</span></code>, and store
+                  the result in <code class="computeroutput"><span class="identifier">b</span></code>.
+                  Only required when <code class="computeroutput"><span class="identifier">B</span></code>
+                  is an floating-point type.
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="identifier">eval_pow</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span>
+                  <span class="identifier">cb</span><span class="special">,</span>
+                  <span class="identifier">cb2</span><span class="special">)</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="keyword">void</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  Performs the equivalent operation to <code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">pow</span></code>
+                  on arguments <code class="computeroutput"><span class="identifier">cb</span></code>
+                  and <code class="computeroutput"><span class="identifier">cb2</span></code>, and store
+                  the result in <code class="computeroutput"><span class="identifier">b</span></code>.
+                  Only required when <code class="computeroutput"><span class="identifier">B</span></code>
+                  is an floating-point type.
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="identifier">eval_atan2</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span>
+                  <span class="identifier">cb</span><span class="special">,</span>
+                  <span class="identifier">cb2</span><span class="special">)</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="keyword">void</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  Performs the equivalent operation to <code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">atan</span></code>
+                  on arguments <code class="computeroutput"><span class="identifier">cb</span></code>
+                  and <code class="computeroutput"><span class="identifier">cb2</span></code>, and store
+                  the result in <code class="computeroutput"><span class="identifier">b</span></code>.
+                  Only required when <code class="computeroutput"><span class="identifier">B</span></code>
+                  is an floating-point type.
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="identifier">eval_qr</span><span class="special">(</span><span class="identifier">cb</span><span class="special">,</span>
+                  <span class="identifier">cb2</span><span class="special">,</span>
+                  <span class="identifier">b</span><span class="special">,</span>
+                  <span class="identifier">b2</span><span class="special">)</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="keyword">void</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  Sets <code class="computeroutput"><span class="identifier">b</span></code> to the result
+                  of <code class="computeroutput"><span class="identifier">cb</span> <span class="special">/</span>
+                  <span class="identifier">cb2</span></code> and <code class="computeroutput"><span class="identifier">b2</span></code> to the result of <code class="computeroutput"><span class="identifier">cb</span> <span class="special">%</span>
+                  <span class="identifier">cb2</span></code>. Only required when
+                  <code class="computeroutput"><span class="identifier">B</span></code> is an integer
+                  type.
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="identifier">eval_integer_modulus</span><span class="special">(</span><span class="identifier">cb</span><span class="special">,</span> <span class="identifier">ui</span><span class="special">)</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="keyword">unsigned</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  Returns the result of <code class="computeroutput"><span class="identifier">cb</span>
+                  <span class="special">%</span> <span class="identifier">ui</span></code>.
+                  Only required when <code class="computeroutput"><span class="identifier">B</span></code>
+                  is an integer type.
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="identifier">eval_lsb</span><span class="special">(</span><span class="identifier">cb</span><span class="special">)</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="keyword">unsigned</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  Returns the index of the least significant bit that is set. Only
+                  required when <code class="computeroutput"><span class="identifier">B</span></code>
+                  is an integer type.
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="identifier">eval_bit_test</span><span class="special">(</span><span class="identifier">cb</span><span class="special">,</span>
+                  <span class="identifier">ui</span><span class="special">)</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="keyword">bool</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  Returns true if <code class="computeroutput"><span class="identifier">cb</span></code>
+                  has bit <code class="computeroutput"><span class="identifier">ui</span></code> set.
+                  Only required when <code class="computeroutput"><span class="identifier">B</span></code>
+                  is an integer type.
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="identifier">eval_bit_set</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span>
+                  <span class="identifier">ui</span><span class="special">)</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="keyword">void</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  Sets the bit at index <code class="computeroutput"><span class="identifier">ui</span></code>
+                  in <code class="computeroutput"><span class="identifier">b</span></code>. Only required
+                  when <code class="computeroutput"><span class="identifier">B</span></code> is an integer
+                  type.
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="identifier">eval_bit_unset</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span> <span class="identifier">ui</span><span class="special">)</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="keyword">void</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  Unsets the bit at index <code class="computeroutput"><span class="identifier">ui</span></code>
+                  in <code class="computeroutput"><span class="identifier">b</span></code>. Only required
+                  when <code class="computeroutput"><span class="identifier">B</span></code> is an integer
+                  type.
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="identifier">eval_bit_flip</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span>
+                  <span class="identifier">ui</span><span class="special">)</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="keyword">void</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  Flips the bit at index <code class="computeroutput"><span class="identifier">ui</span></code>
+                  in <code class="computeroutput"><span class="identifier">b</span></code>. Only required
+                  when <code class="computeroutput"><span class="identifier">B</span></code> is an integer
+                  type.
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="identifier">eval_gcd</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span>
+                  <span class="identifier">cb</span><span class="special">,</span>
+                  <span class="identifier">cb2</span><span class="special">)</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="keyword">void</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  Sets <code class="computeroutput"><span class="identifier">b</span></code> to the greatest
+                  common divisor of <code class="computeroutput"><span class="identifier">cb</span></code>
+                  and <code class="computeroutput"><span class="identifier">cb2</span></code>. Only required
+                  when <code class="computeroutput"><span class="identifier">B</span></code> is an integer
+                  type.
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="identifier">eval_lcm</span><span class="special">(</span><span class="identifier">b</span><span class="special">,</span>
+                  <span class="identifier">cb</span><span class="special">,</span>
+                  <span class="identifier">cb2</span><span class="special">)</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="keyword">void</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  Sets <code class="computeroutput"><span class="identifier">b</span></code> to the least
+                  common multiple of <code class="computeroutput"><span class="identifier">cb</span></code>
+                  and <code class="computeroutput"><span class="identifier">cb2</span></code>. Only required
+                  when <code class="computeroutput"><span class="identifier">B</span></code> is an integer
+                  type.
+                </p>
+              </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<br class="table-break"><div class="note"><table border="0" summary="Note">
+<tr>
+<td rowspan="2" align="center" valign="top" width="25"><img alt="[Note]" src="../../images/note.png"></td>
+<th align="left">Note</th>
+</tr>
+<tr><td align="left" valign="top"><p>
+          The non-member functions are all named with an "eval_" prefix
+          to avoid conflicts with template classes of the same name - in point of
+          fact this naming convention shouldn't be necessary, but rather works around
+          some compiler bugs.
+        </p></td></tr>
+</table></div>
+</div>
+<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
+<td align="left"></td>
+<td align="right"><div class="copyright-footer">Copyright &#169; 2002-2012 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 http://www.boost.org/LICENSE_1_0.txt)
+      </p>
+</div></td>
+</tr></table>
+<hr>
+<div class="spirit-nav">
+<a accesskey="p" href="cpp_dec_ref.html"><img src="../../images/prev.png" alt="Prev"></a><a accesskey="u" href="../ref.html"><img src="../../images/up.png" alt="Up"></a><a accesskey="h" href="../../index.html"><img src="../../images/home.png" alt="Home"></a><a accesskey="n" href="../perf.html"><img src="../../images/next.png" alt="Next"></a>
+</div>
+</body>
+</html>

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@@ -0,0 +1,61 @@
+<html>
+<head>
+<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
+<title>cpp_dec_float</title>
+<link rel="stylesheet" href="http://www.boost.org/doc/libs/release/doc/src/boostbook.css" type="text/css">
+<meta name="generator" content="DocBook XSL Stylesheets V1.76.1">
+<link rel="home" href="../../index.html" title="Chapter&#160;1.&#160;Boost.Multiprecision">
+<link rel="up" href="../ref.html" title="Reference">
+<link rel="prev" href="mpfr_ref.html" title="mpfr_float_backend">
+<link rel="next" href="backendconc.html" title="Backend Requirements">
+</head>
+<body bgcolor="white" text="black" link="#0000FF" vlink="#840084" alink="#0000FF">
+<div class="spirit-nav">
+<a accesskey="p" href="mpfr_ref.html"><img src="../../images/prev.png" alt="Prev"></a><a accesskey="u" href="../ref.html"><img src="../../images/up.png" alt="Up"></a><a accesskey="h" href="../../index.html"><img src="../../images/home.png" alt="Home"></a><a accesskey="n" href="backendconc.html"><img src="../../images/next.png" alt="Next"></a>
+</div>
+<div class="section boost_multiprecision_ref_cpp_dec_ref">
+<div class="titlepage"><div><div><h3 class="title">
+<a name="boost_multiprecision.ref.cpp_dec_ref"></a><a class="link" href="cpp_dec_ref.html" title="cpp_dec_float">cpp_dec_float</a>
+</h3></div></div></div>
+<pre class="programlisting"><span class="keyword">namespace</span> <span class="identifier">boost</span><span class="special">{</span> <span class="keyword">namespace</span> <span class="identifier">multiprecision</span><span class="special">{</span>
+
+<span class="keyword">template</span> <span class="special">&lt;</span><span class="keyword">unsigned</span> <span class="identifier">Digits10</span><span class="special">&gt;</span>
+<span class="keyword">class</span> <span class="identifier">cpp_dec_float</span><span class="special">;</span>
+
+<span class="keyword">typedef</span> <span class="identifier">mp_number</span><span class="special">&lt;</span><span class="identifier">cpp_dec_float</span><span class="special">&lt;</span><span class="number">50</span><span class="special">&gt;</span> <span class="special">&gt;</span> <span class="identifier">cpp_dec_float_50</span><span class="special">;</span>
+<span class="keyword">typedef</span> <span class="identifier">mp_number</span><span class="special">&lt;</span><span class="identifier">cpp_dec_float</span><span class="special">&lt;</span><span class="number">100</span><span class="special">&gt;</span> <span class="special">&gt;</span> <span class="identifier">cpp_dec_float_100</span><span class="special">;</span>
+
+<span class="special">}}</span> <span class="comment">// namespaces</span>
+</pre>
+<p>
+        Class template <code class="computeroutput"><span class="identifier">cpp_dec_float</span></code>
+        fulfills all of the requirements for a <a class="link" href="backendconc.html" title="Backend Requirements">Backend</a>
+        type. It's members and non-member functions are deliberately not documented:
+        these are considered implementation details that are subject to change.
+      </p>
+<p>
+        The class takes a single template parameter - <code class="computeroutput"><span class="identifier">Digits10</span></code>
+        - which is the number of decimal digits precision the type should support.
+        Note that this type does not ever perform any dynamic memory allocation,
+        as a result the <code class="computeroutput"><span class="identifier">Digits10</span></code>
+        template argument should not be set too high or the classes size will grow
+        unreasonably large.
+      </p>
+<p>
+        More information on this type can be found in the <a class="link" href="../tut/floats/cpp_dec_float.html" title="cpp_dec_float">tutorial</a>.
+      </p>
+</div>
+<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
+<td align="left"></td>
+<td align="right"><div class="copyright-footer">Copyright &#169; 2002-2012 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 http://www.boost.org/LICENSE_1_0.txt)
+      </p>
+</div></td>
+</tr></table>
+<hr>
+<div class="spirit-nav">
+<a accesskey="p" href="mpfr_ref.html"><img src="../../images/prev.png" alt="Prev"></a><a accesskey="u" href="../ref.html"><img src="../../images/up.png" alt="Up"></a><a accesskey="h" href="../../index.html"><img src="../../images/home.png" alt="Home"></a><a accesskey="n" href="backendconc.html"><img src="../../images/next.png" alt="Next"></a>
+</div>
+</body>
+</html>

Added: sandbox/big_number/libs/multiprecision/doc/html/boost_multiprecision/ref/cpp_int_ref.html
==============================================================================
--- (empty file)
+++ sandbox/big_number/libs/multiprecision/doc/html/boost_multiprecision/ref/cpp_int_ref.html	2012-03-30 14:35:38 EDT (Fri, 30 Mar 2012)
@@ -0,0 +1,99 @@
+<html>
+<head>
+<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
+<title>cpp_int</title>
+<link rel="stylesheet" href="http://www.boost.org/doc/libs/release/doc/src/boostbook.css" type="text/css">
+<meta name="generator" content="DocBook XSL Stylesheets V1.76.1">
+<link rel="home" href="../../index.html" title="Chapter&#160;1.&#160;Boost.Multiprecision">
+<link rel="up" href="../ref.html" title="Reference">
+<link rel="prev" href="mp_number.html" title="mp_number">
+<link rel="next" href="gmp_int_ref.html" title="gmp_int">
+</head>
+<body bgcolor="white" text="black" link="#0000FF" vlink="#840084" alink="#0000FF">
+<div class="spirit-nav">
+<a accesskey="p" href="mp_number.html"><img src="../../images/prev.png" alt="Prev"></a><a accesskey="u" href="../ref.html"><img src="../../images/up.png" alt="Up"></a><a accesskey="h" href="../../index.html"><img src="../../images/home.png" alt="Home"></a><a accesskey="n" href="gmp_int_ref.html"><img src="../../images/next.png" alt="Next"></a>
+</div>
+<div class="section boost_multiprecision_ref_cpp_int_ref">
+<div class="titlepage"><div><div><h3 class="title">
+<a name="boost_multiprecision.ref.cpp_int_ref"></a><a class="link" href="cpp_int_ref.html" title="cpp_int">cpp_int</a>
+</h3></div></div></div>
+<pre class="programlisting"><span class="keyword">namespace</span> <span class="identifier">boost</span><span class="special">{</span> <span class="keyword">namespace</span> <span class="identifier">multiprecision</span><span class="special">{</span>
+
+<span class="keyword">template</span> <span class="special">&lt;</span><span class="keyword">unsigned</span> <span class="identifier">MinBits</span> <span class="special">=</span> <span class="number">0</span><span class="special">,</span> <span class="keyword">bool</span> <span class="identifier">Signed</span> <span class="special">=</span> <span class="keyword">true</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">Allocator</span> <span class="special">=</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">allocator</span><span class="special">&lt;</span><span class="identifier">limb_type</span><span class="special">&gt;</span> <span class="special">&gt;</span>
+<span class="keyword">struct</span> <span class="identifier">cpp_int_backend</span><span class="special">;</span>
+
+<span class="keyword">typedef</span> <span class="identifier">mp_number</span><span class="special">&lt;</span><span class="identifier">cpp_int_backend</span><span class="special">&lt;&gt;</span> <span class="special">&gt;</span>           <span class="identifier">cpp_int</span><span class="special">;</span>    <span class="comment">// arbitrary precision integer</span>
+<span class="keyword">typedef</span> <span class="identifier">rational_adapter</span><span class="special">&lt;</span><span class="identifier">cpp_int_backend</span><span class="special">&lt;&gt;</span> <span class="special">&gt;</span>    <span class="identifier">cpp_rational_backend</span><span class="special">;</span>
+<span class="keyword">typedef</span> <span class="identifier">mp_number</span><span class="special">&lt;</span><span class="identifier">cpp_rational_backend</span><span class="special">&gt;</span>         <span class="identifier">cpp_rational</span><span class="special">;</span> <span class="comment">// arbitrary precision rational number</span>
+
+<span class="comment">// Fixed precision unsigned types:</span>
+<span class="keyword">typedef</span> <span class="identifier">mp_number</span><span class="special">&lt;</span><span class="identifier">cpp_int_backend</span><span class="special">&lt;</span><span class="number">128</span><span class="special">,</span> <span class="keyword">false</span><span class="special">,</span> <span class="keyword">void</span><span class="special">&gt;,</span> <span class="keyword">false</span><span class="special">&gt;</span>   <span class="identifier">mp_uint128_t</span><span class="special">;</span>
+<span class="keyword">typedef</span> <span class="identifier">mp_number</span><span class="special">&lt;</span><span class="identifier">cpp_int_backend</span><span class="special">&lt;</span><span class="number">256</span><span class="special">,</span> <span class="keyword">false</span><span class="special">,</span> <span class="keyword">void</span><span class="special">&gt;,</span> <span class="keyword">false</span><span class="special">&gt;</span>   <span class="identifier">mp_uint256_t</span><span class="special">;</span>
+<span class="keyword">typedef</span> <span class="identifier">mp_number</span><span class="special">&lt;</span><span class="identifier">cpp_int_backend</span><span class="special">&lt;</span><span class="number">512</span><span class="special">,</span> <span class="keyword">false</span><span class="special">,</span> <span class="keyword">void</span><span class="special">&gt;,</span> <span class="keyword">false</span><span class="special">&gt;</span>   <span class="identifier">mp_uint512_t</span><span class="special">;</span>
+<span class="keyword">typedef</span> <span class="identifier">mp_number</span><span class="special">&lt;</span><span class="identifier">cpp_int_backend</span><span class="special">&lt;</span><span class="number">1024</span><span class="special">,</span> <span class="keyword">false</span><span class="special">,</span> <span class="keyword">void</span><span class="special">&gt;,</span> <span class="keyword">false</span><span class="special">&gt;</span>  <span class="identifier">mp_uint1024_t</span><span class="special">;</span>
+
+<span class="comment">// Fixed precision signed types:</span>
+<span class="keyword">typedef</span> <span class="identifier">mp_number</span><span class="special">&lt;</span><span class="identifier">cpp_int_backend</span><span class="special">&lt;</span><span class="number">128</span><span class="special">,</span> <span class="keyword">true</span><span class="special">,</span> <span class="keyword">void</span><span class="special">&gt;,</span> <span class="keyword">false</span><span class="special">&gt;</span>    <span class="identifier">mp_int128_t</span><span class="special">;</span>
+<span class="keyword">typedef</span> <span class="identifier">mp_number</span><span class="special">&lt;</span><span class="identifier">cpp_int_backend</span><span class="special">&lt;</span><span class="number">256</span><span class="special">,</span> <span class="keyword">true</span><span class="special">,</span> <span class="keyword">void</span><span class="special">&gt;,</span> <span class="keyword">false</span><span class="special">&gt;</span>    <span class="identifier">mp_int256_t</span><span class="special">;</span>
+<span class="keyword">typedef</span> <span class="identifier">mp_number</span><span class="special">&lt;</span><span class="identifier">cpp_int_backend</span><span class="special">&lt;</span><span class="number">512</span><span class="special">,</span> <span class="keyword">true</span><span class="special">,</span> <span class="keyword">void</span><span class="special">&gt;,</span> <span class="keyword">false</span><span class="special">&gt;</span>    <span class="identifier">mp_int512_t</span><span class="special">;</span>
+<span class="keyword">typedef</span> <span class="identifier">mp_number</span><span class="special">&lt;</span><span class="identifier">cpp_int_backend</span><span class="special">&lt;</span><span class="number">1024</span><span class="special">,</span> <span class="keyword">true</span><span class="special">,</span> <span class="keyword">void</span><span class="special">&gt;,</span> <span class="keyword">false</span><span class="special">&gt;</span>   <span class="identifier">mp_int1024_t</span><span class="special">;</span>
+
+<span class="special">}}</span> <span class="comment">// namespaces</span>
+</pre>
+<p>
+        Class template <code class="computeroutput"><span class="identifier">cpp_int_backend</span></code>
+        fulfills all of the requirements for a <a class="link" href="backendconc.html" title="Backend Requirements">Backend</a>
+        type. It's members and non-member functions are deliberately not documented:
+        these are considered implementation details that are subject to change.
+      </p>
+<p>
+        The template arguments are:
+      </p>
+<div class="variablelist">
+<p class="title"><b></b></p>
+<dl>
+<dt><span class="term">Argument</span></dt>
+<dd><p>
+              Meaning
+            </p></dd>
+<dt><span class="term">MinBits</span></dt>
+<dd><p>
+              The number of Bits to reserve inside the class's internal cache. When
+              constructing a value, the object will use this internal cache if possible
+              before resorting to dynamic memory allocation. When this value is zero,
+              then the size of the internal cache is <code class="computeroutput"><span class="number">2</span><span class="special">*</span><span class="keyword">sizeof</span><span class="special">(</span><span class="keyword">void</span><span class="special">*)*</span><span class="identifier">CHAR_BIT</span></code>.
+              When the Allocator argument is <code class="computeroutput"><span class="keyword">void</span></code>,
+              then this parameter determines the precision of the type.
+            </p></dd>
+<dt><span class="term">Signed</span></dt>
+<dd><p>
+              When <code class="computeroutput"><span class="keyword">true</span></code> the type is
+              signed, otherwise unsigned. Note that unsigned types are currently
+              only supported when the Allocator parameter is <code class="computeroutput"><span class="keyword">void</span></code>.
+            </p></dd>
+<dt><span class="term">Allocator</span></dt>
+<dd><p>
+              The allocator used for dynamic memory allocation. This parameter can
+              be <code class="computeroutput"><span class="keyword">void</span></code>, in which case
+              no dymanic memory will ever be allocated.
+            </p></dd>
+</dl>
+</div>
+<p>
+        More information on this type can be found in the <a class="link" href="../tut/ints/cpp_int.html" title="cpp_int">tutorial</a>.
+      </p>
+</div>
+<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
+<td align="left"></td>
+<td align="right"><div class="copyright-footer">Copyright &#169; 2002-2012 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 http://www.boost.org/LICENSE_1_0.txt)
+      </p>
+</div></td>
+</tr></table>
+<hr>
+<div class="spirit-nav">
+<a accesskey="p" href="mp_number.html"><img src="../../images/prev.png" alt="Prev"></a><a accesskey="u" href="../ref.html"><img src="../../images/up.png" alt="Up"></a><a accesskey="h" href="../../index.html"><img src="../../images/home.png" alt="Home"></a><a accesskey="n" href="gmp_int_ref.html"><img src="../../images/next.png" alt="Next"></a>
+</div>
+</body>
+</html>

Added: sandbox/big_number/libs/multiprecision/doc/html/boost_multiprecision/ref/gmp_int_ref.html
==============================================================================
--- (empty file)
+++ sandbox/big_number/libs/multiprecision/doc/html/boost_multiprecision/ref/gmp_int_ref.html	2012-03-30 14:35:38 EDT (Fri, 30 Mar 2012)
@@ -0,0 +1,51 @@
+<html>
+<head>
+<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
+<title>gmp_int</title>
+<link rel="stylesheet" href="http://www.boost.org/doc/libs/release/doc/src/boostbook.css" type="text/css">
+<meta name="generator" content="DocBook XSL Stylesheets V1.76.1">
+<link rel="home" href="../../index.html" title="Chapter&#160;1.&#160;Boost.Multiprecision">
+<link rel="up" href="../ref.html" title="Reference">
+<link rel="prev" href="cpp_int_ref.html" title="cpp_int">
+<link rel="next" href="tom_int_ref.html" title="tom_int">
+</head>
+<body bgcolor="white" text="black" link="#0000FF" vlink="#840084" alink="#0000FF">
+<div class="spirit-nav">
+<a accesskey="p" href="cpp_int_ref.html"><img src="../../images/prev.png" alt="Prev"></a><a accesskey="u" href="../ref.html"><img src="../../images/up.png" alt="Up"></a><a accesskey="h" href="../../index.html"><img src="../../images/home.png" alt="Home"></a><a accesskey="n" href="tom_int_ref.html"><img src="../../images/next.png" alt="Next"></a>
+</div>
+<div class="section boost_multiprecision_ref_gmp_int_ref">
+<div class="titlepage"><div><div><h3 class="title">
+<a name="boost_multiprecision.ref.gmp_int_ref"></a><a class="link" href="gmp_int_ref.html" title="gmp_int">gmp_int</a>
+</h3></div></div></div>
+<pre class="programlisting"><span class="keyword">namespace</span> <span class="identifier">boost</span><span class="special">{</span> <span class="keyword">namespace</span> <span class="identifier">multiprecision</span><span class="special">{</span>
+
+<span class="keyword">class</span> <span class="identifier">gmp_int</span><span class="special">;</span>
+
+<span class="keyword">typedef</span> <span class="identifier">mp_number</span><span class="special">&lt;</span><span class="identifier">gmp_int</span> <span class="special">&gt;</span>         <span class="identifier">mpz_int</span><span class="special">;</span>
+
+<span class="special">}}</span> <span class="comment">// namespaces</span>
+</pre>
+<p>
+        Class template <code class="computeroutput"><span class="identifier">gmp_int</span></code> fulfills
+        all of the requirements for a <a class="link" href="backendconc.html" title="Backend Requirements">Backend</a>
+        type. It's members and non-member functions are deliberately not documented:
+        these are considered implementation details that are subject to change.
+      </p>
+<p>
+        More information on this type can be found in the <a class="link" href="../tut/ints/gmp_int.html" title="gmp_int">tutorial</a>.
+      </p>
+</div>
+<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
+<td align="left"></td>
+<td align="right"><div class="copyright-footer">Copyright &#169; 2002-2012 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 http://www.boost.org/LICENSE_1_0.txt)
+      </p>
+</div></td>
+</tr></table>
+<hr>
+<div class="spirit-nav">
+<a accesskey="p" href="cpp_int_ref.html"><img src="../../images/prev.png" alt="Prev"></a><a accesskey="u" href="../ref.html"><img src="../../images/up.png" alt="Up"></a><a accesskey="h" href="../../index.html"><img src="../../images/home.png" alt="Home"></a><a accesskey="n" href="tom_int_ref.html"><img src="../../images/next.png" alt="Next"></a>
+</div>
+</body>
+</html>

Added: sandbox/big_number/libs/multiprecision/doc/html/boost_multiprecision/ref/mp_number.html
==============================================================================
--- (empty file)
+++ sandbox/big_number/libs/multiprecision/doc/html/boost_multiprecision/ref/mp_number.html	2012-03-30 14:35:38 EDT (Fri, 30 Mar 2012)
@@ -0,0 +1,695 @@
+<html>
+<head>
+<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
+<title>mp_number</title>
+<link rel="stylesheet" href="http://www.boost.org/doc/libs/release/doc/src/boostbook.css" type="text/css">
+<meta name="generator" content="DocBook XSL Stylesheets V1.76.1">
+<link rel="home" href="../../index.html" title="Chapter&#160;1.&#160;Boost.Multiprecision">
+<link rel="up" href="../ref.html" title="Reference">
+<link rel="prev" href="../ref.html" title="Reference">
+<link rel="next" href="cpp_int_ref.html" title="cpp_int">
+</head>
+<body bgcolor="white" text="black" link="#0000FF" vlink="#840084" alink="#0000FF">
+<div class="spirit-nav">
+<a accesskey="p" href="../ref.html"><img src="../../images/prev.png" alt="Prev"></a><a accesskey="u" href="../ref.html"><img src="../../images/up.png" alt="Up"></a><a accesskey="h" href="../../index.html"><img src="../../images/home.png" alt="Home"></a><a accesskey="n" href="cpp_int_ref.html"><img src="../../images/next.png" alt="Next"></a>
+</div>
+<div class="section boost_multiprecision_ref_mp_number">
+<div class="titlepage"><div><div><h3 class="title">
+<a name="boost_multiprecision.ref.mp_number"></a><a class="link" href="mp_number.html" title="mp_number">mp_number</a>
+</h3></div></div></div>
+<h5>
+<a name="boost_multiprecision.ref.mp_number.h0"></a>
+        <span><a name="boost_multiprecision.ref.mp_number.synopsis"></a></span><a class="link" href="mp_number.html#boost_multiprecision.ref.mp_number.synopsis">Synopsis</a>
+      </h5>
+<pre class="programlisting"><span class="keyword">namespace</span> <span class="identifier">boost</span><span class="special">{</span> <span class="keyword">namespace</span> <span class="identifier">multiprecision</span><span class="special">{</span>
+
+<span class="keyword">template</span> <span class="special">&lt;</span><span class="keyword">class</span> <span class="identifier">Backend</span><span class="special">,</span> <span class="keyword">bool</span> <span class="identifier">ExpressionTemplates</span> <span class="special">=</span> <span class="keyword">true</span><span class="special">&gt;</span>
+<span class="keyword">class</span> <span class="identifier">mp_number</span>
+<span class="special">{</span>
+   <span class="identifier">mp_number</span><span class="special">();</span>
+   <span class="identifier">mp_number</span><span class="special">(</span><span class="identifier">see</span><span class="special">-</span><span class="identifier">below</span><span class="special">);</span>
+   <span class="identifier">mp_number</span><span class="special">&amp;</span> <span class="keyword">operator</span><span class="special">=(</span><span class="identifier">see</span><span class="special">-</span><span class="identifier">below</span><span class="special">);</span>
+
+   <span class="comment">// Member operators</span>
+   <span class="identifier">mp_number</span><span class="special">&amp;</span> <span class="keyword">operator</span><span class="special">+=(</span><span class="keyword">const</span> <span class="emphasis"><em>see-below</em></span><span class="special">&amp;);</span>
+   <span class="identifier">mp_number</span><span class="special">&amp;</span> <span class="keyword">operator</span><span class="special">-=(</span><span class="keyword">const</span> <span class="emphasis"><em>see-below</em></span><span class="special">&amp;);</span>
+   <span class="identifier">mp_number</span><span class="special">&amp;</span> <span class="keyword">operator</span><span class="special">*=(</span><span class="keyword">const</span> <span class="emphasis"><em>see-below</em></span><span class="special">&amp;);</span>
+   <span class="identifier">mp_number</span><span class="special">&amp;</span> <span class="keyword">operator</span><span class="special">/=(</span><span class="keyword">const</span> <span class="emphasis"><em>see-below</em></span><span class="special">&amp;);</span>
+   <span class="identifier">mp_number</span><span class="special">&amp;</span> <span class="keyword">operator</span><span class="special">++();</span>
+   <span class="identifier">mp_number</span><span class="special">&amp;</span> <span class="keyword">operator</span><span class="special">--();</span>
+   <span class="identifier">mp_number</span>  <span class="keyword">operator</span><span class="special">++(</span><span class="keyword">int</span><span class="special">);</span>
+   <span class="identifier">mp_number</span>  <span class="keyword">operator</span><span class="special">--(</span><span class="keyword">int</span><span class="special">);</span>
+
+   <span class="identifier">mp_number</span><span class="special">&amp;</span> <span class="keyword">operator</span><span class="special">%=(</span><span class="keyword">const</span> <span class="emphasis"><em>see-below</em></span><span class="special">&amp;);</span>
+   <span class="identifier">mp_number</span><span class="special">&amp;</span> <span class="keyword">operator</span><span class="special">&amp;=(</span><span class="keyword">const</span> <span class="emphasis"><em>see-below</em></span><span class="special">&amp;);</span>
+   <span class="identifier">mp_number</span><span class="special">&amp;</span> <span class="keyword">operator</span><span class="special">|=(</span><span class="keyword">const</span> <span class="emphasis"><em>see-below</em></span><span class="special">&amp;);</span>
+   <span class="identifier">mp_number</span><span class="special">&amp;</span> <span class="keyword">operator</span><span class="special">^=(</span><span class="keyword">const</span> <span class="emphasis"><em>see-below</em></span><span class="special">&amp;);</span>
+   <span class="identifier">mp_number</span><span class="special">&amp;</span> <span class="keyword">operator</span><span class="special">&lt;&lt;=(</span><span class="keyword">const</span> <span class="emphasis"><em>integer-type</em></span><span class="special">&amp;);</span>
+   <span class="identifier">mp_number</span><span class="special">&amp;</span> <span class="keyword">operator</span><span class="special">&gt;&gt;=(</span><span class="keyword">const</span> <span class="emphasis"><em>integer-type</em></span><span class="special">&amp;);</span>
+
+   <span class="comment">// Use in Boolean context:</span>
+   <span class="keyword">operator</span> <span class="emphasis"><em>convertible-to-bool-type</em></span><span class="special">()</span><span class="keyword">const</span><span class="special">;</span>
+   <span class="comment">// swap:</span>
+   <span class="keyword">void</span> <span class="identifier">swap</span><span class="special">(</span><span class="identifier">mp_number</span><span class="special">&amp;</span> <span class="identifier">other</span><span class="special">);</span>
+   <span class="comment">// Sign:</span>
+   <span class="keyword">bool</span> <span class="identifier">is_zero</span><span class="special">()</span><span class="keyword">const</span><span class="special">;</span>
+   <span class="keyword">int</span> <span class="identifier">sign</span><span class="special">()</span><span class="keyword">const</span><span class="special">;</span>
+   <span class="comment">// string conversion:</span>
+   <span class="identifier">std</span><span class="special">::</span><span class="identifier">string</span> <span class="identifier">str</span><span class="special">()</span><span class="keyword">const</span><span class="special">;</span>
+   <span class="comment">// Generic conversion mechanism</span>
+   <span class="keyword">template</span> <span class="special">&lt;</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">&gt;</span>
+   <span class="identifier">T</span> <span class="identifier">convert_to</span><span class="special">()</span><span class="keyword">const</span><span class="special">;</span>
+   <span class="comment">// precision control:</span>
+   <span class="keyword">static</span> <span class="keyword">unsigned</span> <span class="identifier">default_precision</span><span class="special">();</span>
+   <span class="keyword">static</span> <span class="keyword">void</span> <span class="identifier">default_precision</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">digits10</span><span class="special">);</span>
+   <span class="keyword">unsigned</span> <span class="identifier">precision</span><span class="special">()</span><span class="keyword">const</span><span class="special">;</span>
+   <span class="keyword">void</span> <span class="identifier">precision</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">digits10</span><span class="special">);</span>
+   <span class="comment">// Comparison:</span>
+   <span class="keyword">int</span> <span class="identifier">compare</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">mp_number</span><span class="special">&lt;</span><span class="identifier">Backend</span><span class="special">&gt;&amp;</span> <span class="identifier">o</span><span class="special">)</span><span class="keyword">const</span><span class="special">;</span>
+   <span class="keyword">template</span> <span class="special">&lt;</span><span class="keyword">class</span> <span class="identifier">V</span><span class="special">&gt;</span>
+   <span class="keyword">typename</span> <span class="identifier">enable_if</span><span class="special">&lt;</span><span class="identifier">is_arithmetic</span><span class="special">&lt;</span><span class="identifier">V</span><span class="special">&gt;,</span> <span class="keyword">int</span><span class="special">&gt;::</span><span class="identifier">type</span> <span class="identifier">compare</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">V</span><span class="special">&amp;</span> <span class="identifier">o</span><span class="special">)</span><span class="keyword">const</span><span class="special">;</span>
+   <span class="comment">// Access to the underlying implementation:</span>
+   <span class="identifier">Backend</span><span class="special">&amp;</span> <span class="identifier">backend</span><span class="special">();</span>
+   <span class="keyword">const</span> <span class="identifier">Backend</span><span class="special">&amp;</span> <span class="identifier">backend</span><span class="special">()</span><span class="keyword">const</span><span class="special">;</span>
+<span class="special">};</span>
+
+<span class="comment">// Non member operators:</span>
+<span class="emphasis"><em>unmentionable-expression-template-type</em></span> <span class="keyword">operator</span><span class="special">+(</span><span class="keyword">const</span> <span class="emphasis"><em>see-below</em></span><span class="special">&amp;,</span> <span class="keyword">const</span> <span class="emphasis"><em>see-below</em></span><span class="special">&amp;);</span>
+<span class="emphasis"><em>unmentionable-expression-template-type</em></span> <span class="keyword">operator</span><span class="special">-(</span><span class="keyword">const</span> <span class="emphasis"><em>see-below</em></span><span class="special">&amp;,</span> <span class="keyword">const</span> <span class="emphasis"><em>see-below</em></span><span class="special">&amp;);</span>
+<span class="emphasis"><em>unmentionable-expression-template-type</em></span> <span class="keyword">operator</span><span class="special">*(</span><span class="keyword">const</span> <span class="emphasis"><em>see-below</em></span><span class="special">&amp;,</span> <span class="keyword">const</span> <span class="emphasis"><em>see-below</em></span><span class="special">&amp;);</span>
+<span class="emphasis"><em>unmentionable-expression-template-type</em></span> <span class="keyword">operator</span><span class="special">/(</span><span class="keyword">const</span> <span class="emphasis"><em>see-below</em></span><span class="special">&amp;,</span> <span class="keyword">const</span> <span class="emphasis"><em>see-below</em></span><span class="special">&amp;);</span>
+<span class="comment">// Integer only operations:</span>
+<span class="emphasis"><em>unmentionable-expression-template-type</em></span> <span class="keyword">operator</span><span class="special">%(</span><span class="keyword">const</span> <span class="emphasis"><em>see-below</em></span><span class="special">&amp;,</span> <span class="keyword">const</span> <span class="emphasis"><em>see-below</em></span><span class="special">&amp;);</span>
+<span class="emphasis"><em>unmentionable-expression-template-type</em></span> <span class="keyword">operator</span><span class="special">&amp;(</span><span class="keyword">const</span> <span class="emphasis"><em>see-below</em></span><span class="special">&amp;,</span> <span class="keyword">const</span> <span class="emphasis"><em>see-below</em></span><span class="special">&amp;);</span>
+<span class="emphasis"><em>unmentionable-expression-template-type</em></span> <span class="keyword">operator</span><span class="special">|(</span><span class="keyword">const</span> <span class="emphasis"><em>see-below</em></span><span class="special">&amp;,</span> <span class="keyword">const</span> <span class="emphasis"><em>see-below</em></span><span class="special">&amp;);</span>
+<span class="emphasis"><em>unmentionable-expression-template-type</em></span> <span class="keyword">operator</span><span class="special">^(</span><span class="keyword">const</span> <span class="emphasis"><em>see-below</em></span><span class="special">&amp;,</span> <span class="keyword">const</span> <span class="emphasis"><em>see-below</em></span><span class="special">&amp;);</span>
+<span class="emphasis"><em>unmentionable-expression-template-type</em></span> <span class="keyword">operator</span><span class="special">&lt;&lt;(</span><span class="keyword">const</span> <span class="emphasis"><em>see-below</em></span><span class="special">&amp;,</span> <span class="keyword">const</span> <span class="emphasis"><em>integer-type</em></span><span class="special">&amp;);</span>
+<span class="emphasis"><em>unmentionable-expression-template-type</em></span> <span class="keyword">operator</span><span class="special">&gt;&gt;(</span><span class="keyword">const</span> <span class="emphasis"><em>see-below</em></span><span class="special">&amp;,</span> <span class="keyword">const</span> <span class="emphasis"><em>integer-type</em></span><span class="special">&amp;);</span>
+<span class="comment">// Comparison operators:</span>
+<span class="keyword">bool</span> <span class="keyword">operator</span><span class="special">==(</span><span class="keyword">const</span> <span class="emphasis"><em>see-below</em></span><span class="special">&amp;,</span> <span class="keyword">const</span> <span class="emphasis"><em>see-below</em></span><span class="special">&amp;);</span>
+<span class="keyword">bool</span> <span class="keyword">operator</span><span class="special">!=(</span><span class="keyword">const</span> <span class="emphasis"><em>see-below</em></span><span class="special">&amp;,</span> <span class="keyword">const</span> <span class="emphasis"><em>see-below</em></span><span class="special">&amp;);</span>
+<span class="keyword">bool</span> <span class="keyword">operator</span><span class="special">&lt;</span> <span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>see-below</em></span><span class="special">&amp;,</span> <span class="keyword">const</span> <span class="emphasis"><em>see-below</em></span><span class="special">&amp;);</span>
+<span class="keyword">bool</span> <span class="keyword">operator</span><span class="special">&gt;</span> <span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>see-below</em></span><span class="special">&amp;,</span> <span class="keyword">const</span> <span class="emphasis"><em>see-below</em></span><span class="special">&amp;);</span>
+<span class="keyword">bool</span> <span class="keyword">operator</span><span class="special">&lt;=(</span><span class="keyword">const</span> <span class="emphasis"><em>see-below</em></span><span class="special">&amp;,</span> <span class="keyword">const</span> <span class="emphasis"><em>see-below</em></span><span class="special">&amp;);</span>
+<span class="keyword">bool</span> <span class="keyword">operator</span><span class="special">&gt;=(</span><span class="keyword">const</span> <span class="emphasis"><em>see-below</em></span><span class="special">&amp;,</span> <span class="keyword">const</span> <span class="emphasis"><em>see-below</em></span><span class="special">&amp;);</span>
+
+<span class="comment">// Swap:</span>
+<span class="keyword">template</span> <span class="special">&lt;</span><span class="keyword">class</span> <span class="identifier">Backend</span><span class="special">,</span> <span class="keyword">bool</span> <span class="identifier">ExpressionTemplates</span><span class="special">&gt;</span>
+<span class="keyword">void</span> <span class="identifier">swap</span><span class="special">(</span><span class="identifier">mp_number</span><span class="special">&lt;</span><span class="identifier">Backend</span><span class="special">,</span> <span class="identifier">ExpressionTemplates</span><span class="special">&gt;&amp;</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">mp_number</span><span class="special">&lt;</span><span class="identifier">Backend</span><span class="special">,</span> <span class="identifier">ExpressionTemplates</span><span class="special">&gt;&amp;</span> <span class="identifier">b</span><span class="special">);</span>
+
+<span class="comment">// iostream support:</span>
+<span class="keyword">template</span> <span class="special">&lt;</span><span class="keyword">class</span> <span class="identifier">Backend</span><span class="special">,</span> <span class="keyword">bool</span> <span class="identifier">ExpressionTemplates</span><span class="special">&gt;</span>
+<span class="identifier">std</span><span class="special">::</span><span class="identifier">ostream</span><span class="special">&amp;</span> <span class="keyword">operator</span> <span class="special">&lt;&lt;</span> <span class="special">(</span><span class="identifier">std</span><span class="special">::</span><span class="identifier">ostream</span><span class="special">&amp;</span> <span class="identifier">os</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">mp_number</span><span class="special">&lt;</span><span class="identifier">Backend</span><span class="special">,</span> <span class="identifier">ExpressionTemplates</span><span class="special">&gt;&amp;</span> <span class="identifier">r</span><span class="special">);</span>
+<span class="identifier">std</span><span class="special">::</span><span class="identifier">ostream</span><span class="special">&amp;</span> <span class="keyword">operator</span> <span class="special">&lt;&lt;</span> <span class="special">(</span><span class="identifier">std</span><span class="special">::</span><span class="identifier">ostream</span><span class="special">&amp;</span> <span class="identifier">os</span><span class="special">,</span> <span class="keyword">const</span> <span class="emphasis"><em>unmentionable-expression-template-type</em></span><span class="special">&amp;</span> <span class="identifier">r</span><span class="special">);</span>
+<span class="keyword">template</span> <span class="special">&lt;</span><span class="keyword">class</span> <span class="identifier">Backend</span><span class="special">,</span> <span class="keyword">bool</span> <span class="identifier">ExpressionTemplates</span><span class="special">&gt;</span>
+<span class="identifier">std</span><span class="special">::</span><span class="identifier">istream</span><span class="special">&amp;</span> <span class="keyword">operator</span> <span class="special">&gt;&gt;</span> <span class="special">(</span><span class="identifier">std</span><span class="special">::</span><span class="identifier">istream</span><span class="special">&amp;</span> <span class="identifier">is</span><span class="special">,</span> <span class="identifier">mp_number</span><span class="special">&lt;</span><span class="identifier">Backend</span><span class="special">,</span> <span class="identifier">ExpressionTemplates</span><span class="special">&gt;&amp;</span> <span class="identifier">r</span><span class="special">);</span>
+
+<span class="comment">// Non-member function standard library support:</span>
+<span class="emphasis"><em>unmentionable-expression-template-type</em></span>    <span class="identifier">abs</span>    <span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>mp_number-or-expression-template-type</em></span><span class="special">&amp;);</span>
+<span class="emphasis"><em>unmentionable-expression-template-type</em></span>    <span class="identifier">fabs</span>   <span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>mp_number-or-expression-template-type</em></span><span class="special">&amp;);</span>
+<span class="emphasis"><em>unmentionable-expression-template-type</em></span>    <span class="identifier">sqrt</span>   <span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>mp_number-or-expression-template-type</em></span><span class="special">&amp;);</span>
+<span class="emphasis"><em>unmentionable-expression-template-type</em></span>    <span class="identifier">floor</span>  <span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>mp_number-or-expression-template-type</em></span><span class="special">&amp;);</span>
+<span class="emphasis"><em>unmentionable-expression-template-type</em></span>    <span class="identifier">ceil</span>   <span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>mp_number-or-expression-template-type</em></span><span class="special">&amp;);</span>
+<span class="emphasis"><em>unmentionable-expression-template-type</em></span>    <span class="identifier">trunc</span>  <span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>mp_number-or-expression-template-type</em></span><span class="special">&amp;);</span>
+<span class="emphasis"><em>unmentionable-expression-template-type</em></span>    <span class="identifier">itrunc</span> <span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>mp_number-or-expression-template-type</em></span><span class="special">&amp;);</span>
+<span class="emphasis"><em>unmentionable-expression-template-type</em></span>    <span class="identifier">ltrunc</span> <span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>mp_number-or-expression-template-type</em></span><span class="special">&amp;);</span>
+<span class="emphasis"><em>unmentionable-expression-template-type</em></span>    <span class="identifier">lltrunc</span><span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>mp_number-or-expression-template-type</em></span><span class="special">&amp;);</span>
+<span class="emphasis"><em>unmentionable-expression-template-type</em></span>    <span class="identifier">round</span>  <span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>mp_number-or-expression-template-type</em></span><span class="special">&amp;);</span>
+<span class="emphasis"><em>unmentionable-expression-template-type</em></span>    <span class="identifier">iround</span> <span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>mp_number-or-expression-template-type</em></span><span class="special">&amp;);</span>
+<span class="emphasis"><em>unmentionable-expression-template-type</em></span>    <span class="identifier">lround</span> <span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>mp_number-or-expression-template-type</em></span><span class="special">&amp;);</span>
+<span class="emphasis"><em>unmentionable-expression-template-type</em></span>    <span class="identifier">llround</span><span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>mp_number-or-expression-template-type</em></span><span class="special">&amp;);</span>
+<span class="emphasis"><em>unmentionable-expression-template-type</em></span>    <span class="identifier">exp</span>    <span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>mp_number-or-expression-template-type</em></span><span class="special">&amp;);</span>
+<span class="emphasis"><em>unmentionable-expression-template-type</em></span>    <span class="identifier">log</span>    <span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>mp_number-or-expression-template-type</em></span><span class="special">&amp;);</span>
+<span class="emphasis"><em>unmentionable-expression-template-type</em></span>    <span class="identifier">log10</span>    <span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>mp_number-or-expression-template-type</em></span><span class="special">&amp;);</span>
+<span class="emphasis"><em>unmentionable-expression-template-type</em></span>    <span class="identifier">cos</span>    <span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>mp_number-or-expression-template-type</em></span><span class="special">&amp;);</span>
+<span class="emphasis"><em>unmentionable-expression-template-type</em></span>    <span class="identifier">sin</span>    <span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>mp_number-or-expression-template-type</em></span><span class="special">&amp;);</span>
+<span class="emphasis"><em>unmentionable-expression-template-type</em></span>    <span class="identifier">tan</span>    <span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>mp_number-or-expression-template-type</em></span><span class="special">&amp;);</span>
+<span class="emphasis"><em>unmentionable-expression-template-type</em></span>    <span class="identifier">acos</span>   <span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>mp_number-or-expression-template-type</em></span><span class="special">&amp;);</span>
+<span class="emphasis"><em>unmentionable-expression-template-type</em></span>    <span class="identifier">asin</span>   <span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>mp_number-or-expression-template-type</em></span><span class="special">&amp;);</span>
+<span class="emphasis"><em>unmentionable-expression-template-type</em></span>    <span class="identifier">atan</span>   <span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>mp_number-or-expression-template-type</em></span><span class="special">&amp;);</span>
+<span class="emphasis"><em>unmentionable-expression-template-type</em></span>    <span class="identifier">cosh</span>   <span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>mp_number-or-expression-template-type</em></span><span class="special">&amp;);</span>
+<span class="emphasis"><em>unmentionable-expression-template-type</em></span>    <span class="identifier">sinh</span>   <span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>mp_number-or-expression-template-type</em></span><span class="special">&amp;);</span>
+<span class="emphasis"><em>unmentionable-expression-template-type</em></span>    <span class="identifier">tanh</span>   <span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>mp_number-or-expression-template-type</em></span><span class="special">&amp;);</span>
+
+<span class="emphasis"><em>unmentionable-expression-template-type</em></span>    <span class="identifier">ldexp</span> <span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>mp_number-or-expression-template-type</em></span><span class="special">&amp;,</span> <span class="keyword">int</span><span class="special">);</span>
+<span class="emphasis"><em>unmentionable-expression-template-type</em></span>    <span class="identifier">frexp</span> <span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>mp_number-or-expression-template-type</em></span><span class="special">&amp;,</span> <span class="keyword">int</span><span class="special">*);</span>
+<span class="emphasis"><em>unmentionable-expression-template-type</em></span>    <span class="identifier">pow</span>   <span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>mp_number-or-expression-template-type</em></span><span class="special">&amp;,</span> <span class="keyword">const</span> <span class="emphasis"><em>mp_number-or-expression-template-type</em></span><span class="special">&amp;);</span>
+<span class="emphasis"><em>unmentionable-expression-template-type</em></span>    <span class="identifier">fmod</span>  <span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>mp_number-or-expression-template-type</em></span><span class="special">&amp;,</span> <span class="keyword">const</span> <span class="emphasis"><em>mp_number-or-expression-template-type</em></span><span class="special">&amp;);</span>
+<span class="emphasis"><em>unmentionable-expression-template-type</em></span>    <span class="identifier">atan2</span> <span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>mp_number-or-expression-template-type</em></span><span class="special">&amp;,</span> <span class="keyword">const</span> <span class="emphasis"><em>mp_number-or-expression-template-type</em></span><span class="special">&amp;);</span>
+
+<span class="comment">// Traits support:</span>
+<span class="keyword">template</span> <span class="special">&lt;</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">&gt;</span>
+<span class="keyword">struct</span> <span class="identifier">component_type</span><span class="special">;</span>
+<span class="keyword">template</span> <span class="special">&lt;</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">&gt;</span>
+<span class="keyword">struct</span> <span class="identifier">number_category</span><span class="special">;</span>
+
+<span class="comment">// Integer specific functions:</span>
+<span class="keyword">template</span> <span class="special">&lt;</span><span class="keyword">class</span> <span class="identifier">Backend</span><span class="special">,</span> <span class="keyword">bool</span> <span class="identifier">ExpressionTemplates</span><span class="special">&gt;</span>
+<span class="keyword">bool</span> <span class="identifier">divide_qr</span><span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>mp_number-or-expression-template-type</em></span><span class="special">&amp;</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">const</span> <span class="emphasis"><em>mp_number-or-expression-template-type</em></span><span class="special">&amp;</span> <span class="identifier">y</span><span class="special">,</span>
+               <span class="identifier">mp_number</span><span class="special">&lt;</span><span class="identifier">Backend</span><span class="special">,</span> <span class="identifier">ExpressionTemplates</span><span class="special">&gt;&amp;</span> <span class="identifier">q</span><span class="special">,</span> <span class="identifier">mp_number</span><span class="special">&lt;</span><span class="identifier">Backend</span><span class="special">,</span> <span class="identifier">ExpressionTemplates</span><span class="special">&gt;&amp;</span> <span class="identifier">r</span><span class="special">);</span>
+<span class="keyword">template</span> <span class="special">&lt;</span><span class="keyword">class</span> <span class="identifier">Integer</span><span class="special">&gt;</span>
+<span class="identifier">Integer</span> <span class="identifier">integer_modulus</span><span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>mp_number-or-expression-template-type</em></span><span class="special">&amp;</span> <span class="identifier">x</span><span class="special">,</span> <span class="identifier">Integer</span> <span class="identifier">val</span><span class="special">);</span>
+<span class="keyword">unsigned</span> <span class="identifier">lsb</span><span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>mp_number-or-expression-template-type</em></span><span class="special">&amp;</span> <span class="identifier">x</span><span class="special">);</span>
+<span class="keyword">template</span> <span class="special">&lt;</span><span class="keyword">class</span> <span class="identifier">Backend</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">ExpressionTemplates</span><span class="special">&gt;</span>
+<span class="keyword">bool</span> <span class="identifier">bit_test</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">mp_number</span><span class="special">&lt;</span><span class="identifier">Backend</span><span class="special">,</span> <span class="identifier">ExpressionTemplates</span><span class="special">&gt;&amp;</span> <span class="identifier">val</span><span class="special">,</span> <span class="keyword">unsigned</span> <span class="identifier">index</span><span class="special">);</span>
+<span class="keyword">template</span> <span class="special">&lt;</span><span class="keyword">class</span> <span class="identifier">Backend</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">ExpressionTemplates</span><span class="special">&gt;</span>
+<span class="identifier">mp_number</span><span class="special">&lt;</span><span class="identifier">Backend</span><span class="special">,</span> <span class="identifier">ExpressionTemplates</span><span class="special">&gt;&amp;</span> <span class="identifier">bit_set</span><span class="special">(</span><span class="identifier">mp_number</span><span class="special">&lt;</span><span class="identifier">Backend</span><span class="special">,</span> <span class="identifier">ExpressionTemplates</span><span class="special">&gt;&amp;</span> <span class="identifier">val</span><span class="special">,</span> <span class="keyword">unsigned</span> <span class="identifier">index</span><span class="special">);</span>
+<span class="keyword">template</span> <span class="special">&lt;</span><span class="keyword">class</span> <span class="identifier">Backend</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">ExpressionTemplates</span><span class="special">&gt;</span>
+<span class="identifier">mp_number</span><span class="special">&lt;</span><span class="identifier">Backend</span><span class="special">,</span> <span class="identifier">ExpressionTemplates</span><span class="special">&gt;&amp;</span> <span class="identifier">bit_unset</span><span class="special">(</span><span class="identifier">mp_number</span><span class="special">&lt;</span><span class="identifier">Backend</span><span class="special">,</span> <span class="identifier">ExpressionTemplates</span><span class="special">&gt;&amp;</span> <span class="identifier">val</span><span class="special">,</span> <span class="keyword">unsigned</span> <span class="identifier">index</span><span class="special">);</span>
+<span class="keyword">template</span> <span class="special">&lt;</span><span class="keyword">class</span> <span class="identifier">Backend</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">ExpressionTemplates</span><span class="special">&gt;</span>
+<span class="identifier">mp_number</span><span class="special">&lt;</span><span class="identifier">Backend</span><span class="special">,</span> <span class="identifier">ExpressionTemplates</span><span class="special">&gt;&amp;</span> <span class="identifier">bit_flip</span><span class="special">(</span><span class="identifier">mp_number</span><span class="special">&lt;</span><span class="identifier">Backend</span><span class="special">,</span> <span class="identifier">ExpressionTemplates</span><span class="special">&gt;&amp;</span> <span class="identifier">val</span><span class="special">,</span> <span class="keyword">unsigned</span> <span class="identifier">index</span><span class="special">);</span>
+<span class="keyword">template</span> <span class="special">&lt;</span><span class="keyword">class</span> <span class="identifier">Engine</span><span class="special">&gt;</span>
+<span class="keyword">bool</span> <span class="identifier">miller_rabin_test</span><span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>mp_number-or-expression-template-type</em></span><span class="special">&amp;</span> <span class="identifier">n</span><span class="special">,</span> <span class="keyword">unsigned</span> <span class="identifier">trials</span><span class="special">,</span> <span class="identifier">Engine</span><span class="special">&amp;</span> <span class="identifier">gen</span><span class="special">);</span>
+<span class="keyword">bool</span> <span class="identifier">miller_rabin_test</span><span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>mp_number-or-expression-template-type</em></span><span class="special">&amp;</span> <span class="identifier">n</span><span class="special">,</span> <span class="keyword">unsigned</span> <span class="identifier">trials</span><span class="special">);</span>
+
+<span class="comment">// Rational number support:</span>
+<span class="keyword">typename</span> <span class="identifier">component_type</span><span class="special">&lt;</span><span class="emphasis"><em>mp_number-or-expression-template-type</em></span><span class="special">&gt;::</span><span class="identifier">type</span> <span class="identifier">numerator</span>  <span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>mp_number-or-expression-template-type</em></span><span class="special">&amp;);</span>
+<span class="keyword">typename</span> <span class="identifier">component_type</span><span class="special">&lt;</span><span class="emphasis"><em>mp_number-or-expression-template-type</em></span><span class="special">&gt;::</span><span class="identifier">type</span> <span class="identifier">denominator</span><span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>mp_number-or-expression-template-type</em></span><span class="special">&amp;);</span>
+
+<span class="special">}}</span> <span class="comment">// namespaces</span>
+
+<span class="keyword">namespace</span> <span class="identifier">boost</span><span class="special">{</span> <span class="keyword">namespace</span> <span class="identifier">math</span><span class="special">{</span>
+
+<span class="comment">// Boost.Math interoperability functions:</span>
+<span class="keyword">int</span>                                              <span class="identifier">fpclassify</span>     <span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>mp_number-or-expression-template-type</em></span><span class="special">&amp;,</span> <span class="keyword">int</span><span class="special">);</span>
+<span class="keyword">bool</span>                                             <span class="identifier">isfinite</span>       <span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>mp_number-or-expression-template-type</em></span><span class="special">&amp;,</span> <span class="keyword">int</span><span class="special">);</span>
+<span class="keyword">bool</span>                                             <span class="identifier">isnan</span>          <span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>mp_number-or-expression-template-type</em></span><span class="special">&amp;,</span> <span class="keyword">int</span><span class="special">);</span>
+<span class="keyword">bool</span>                                             <span class="identifier">isinf</span>          <span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>mp_number-or-expression-template-type</em></span><span class="special">&amp;,</span> <span class="keyword">int</span><span class="special">);</span>
+<span class="keyword">bool</span>                                             <span class="identifier">isnormal</span>       <span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>mp_number-or-expression-template-type</em></span><span class="special">&amp;,</span> <span class="keyword">int</span><span class="special">);</span>
+
+<span class="special">}}</span> <span class="comment">// namespaces</span>
+
+<span class="comment">// numeric_limits support:</span>
+<span class="keyword">namespace</span> <span class="identifier">std</span><span class="special">{</span>
+
+<span class="keyword">template</span> <span class="special">&lt;</span><span class="keyword">class</span> <span class="identifier">Backend</span><span class="special">,</span> <span class="keyword">bool</span> <span class="identifier">ExpressionTemplates</span><span class="special">&gt;</span>
+<span class="keyword">struct</span> <span class="identifier">numeric_limits</span><span class="special">&lt;</span><span class="identifier">boost</span><span class="special">::</span><span class="identifier">multiprecision</span><span class="special">&lt;</span><span class="identifier">Backend</span><span class="special">,</span> <span class="identifier">ExpressionTemplates</span><span class="special">&gt;</span> <span class="special">&gt;</span>
+<span class="special">{</span>
+   <span class="comment">/* Usual members here */</span>
+<span class="special">};</span>
+
+<span class="special">}</span>
+</pre>
+<h5>
+<a name="boost_multiprecision.ref.mp_number.h1"></a>
+        <span><a name="boost_multiprecision.ref.mp_number.description"></a></span><a class="link" href="mp_number.html#boost_multiprecision.ref.mp_number.description">Description</a>
+      </h5>
+<pre class="programlisting"><span class="keyword">template</span> <span class="special">&lt;</span><span class="keyword">class</span> <span class="identifier">Backend</span><span class="special">,</span> <span class="keyword">bool</span> <span class="identifier">ExpressionTemplates</span> <span class="special">=</span> <span class="keyword">true</span><span class="special">&gt;</span>
+<span class="keyword">class</span> <span class="identifier">mp_number</span><span class="special">;</span>
+</pre>
+<p>
+        Class <code class="computeroutput"><span class="identifier">mp_number</span></code> has two template
+        arguments:
+      </p>
+<div class="variablelist">
+<p class="title"><b></b></p>
+<dl>
+<dt><span class="term">Backend</span></dt>
+<dd><p>
+              The actual arithmetic back-end that does all the work.
+            </p></dd>
+<dt><span class="term">ExpressionTemplates</span></dt>
+<dd><p>
+              A Boolean value: when true, then expression templates are enabled,
+              otherwise they are disabled.
+            </p></dd>
+</dl>
+</div>
+<pre class="programlisting"><span class="identifier">mp_number</span><span class="special">();</span>
+<span class="identifier">mp_number</span><span class="special">(</span><span class="identifier">see</span><span class="special">-</span><span class="identifier">below</span><span class="special">);</span>
+<span class="identifier">mp_number</span><span class="special">&amp;</span> <span class="keyword">operator</span><span class="special">=(</span><span class="identifier">see</span><span class="special">-</span><span class="identifier">below</span><span class="special">);</span>
+</pre>
+<p>
+        Type <code class="computeroutput"><span class="identifier">mp_number</span></code> is default
+        constructible, and both copy constructible and assignable from:
+      </p>
+<div class="itemizedlist"><ul class="itemizedlist" type="disc">
+<li class="listitem">
+            Itself.
+          </li>
+<li class="listitem">
+            An expression template which is the result of one of the arithmetic operators.
+          </li>
+<li class="listitem">
+            Any builtin arithmetic type.
+          </li>
+<li class="listitem">
+            A <code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">string</span></code> or any type which is convertible
+            to <code class="computeroutput"><span class="keyword">const</span> <span class="keyword">char</span><span class="special">*</span></code>.
+          </li>
+<li class="listitem">
+            Any type that the Backend is constructible or assignable from.
+          </li>
+</ul></div>
+<p>
+        In addition, if the type has multiple components (for example rational or
+        complex number types), then there is a two argument constructor:
+      </p>
+<pre class="programlisting"><span class="identifier">mp_number</span><span class="special">(</span><span class="identifier">arg1</span><span class="special">,</span> <span class="identifier">arg2</span><span class="special">);</span>
+</pre>
+<p>
+        Where the two args must either be arithmetic types, or types that are convertible
+        to the two components of <code class="computeroutput"><span class="keyword">this</span></code>.
+      </p>
+<pre class="programlisting"><span class="identifier">mp_number</span><span class="special">&amp;</span> <span class="keyword">operator</span><span class="special">+=(</span><span class="keyword">const</span> <span class="emphasis"><em>see-below</em></span><span class="special">&amp;);</span>
+<span class="identifier">mp_number</span><span class="special">&amp;</span> <span class="keyword">operator</span><span class="special">-=(</span><span class="keyword">const</span> <span class="emphasis"><em>see-below</em></span><span class="special">&amp;);</span>
+<span class="identifier">mp_number</span><span class="special">&amp;</span> <span class="keyword">operator</span><span class="special">*=(</span><span class="keyword">const</span> <span class="emphasis"><em>see-below</em></span><span class="special">&amp;);</span>
+<span class="identifier">mp_number</span><span class="special">&amp;</span> <span class="keyword">operator</span><span class="special">/=(</span><span class="keyword">const</span> <span class="emphasis"><em>see-below</em></span><span class="special">&amp;);</span>
+<span class="identifier">mp_number</span><span class="special">&amp;</span> <span class="keyword">operator</span><span class="special">++();</span>
+<span class="identifier">mp_number</span><span class="special">&amp;</span> <span class="keyword">operator</span><span class="special">--();</span>
+<span class="identifier">mp_number</span>  <span class="keyword">operator</span><span class="special">++(</span><span class="keyword">int</span><span class="special">);</span>
+<span class="identifier">mp_number</span>  <span class="keyword">operator</span><span class="special">--(</span><span class="keyword">int</span><span class="special">);</span>
+<span class="comment">// Integer only operations:</span>
+<span class="identifier">mp_number</span><span class="special">&amp;</span> <span class="keyword">operator</span><span class="special">%=(</span><span class="keyword">const</span> <span class="emphasis"><em>see-below</em></span><span class="special">&amp;);</span>
+<span class="identifier">mp_number</span><span class="special">&amp;</span> <span class="keyword">operator</span><span class="special">&amp;=(</span><span class="keyword">const</span> <span class="emphasis"><em>see-below</em></span><span class="special">&amp;);</span>
+<span class="identifier">mp_number</span><span class="special">&amp;</span> <span class="keyword">operator</span><span class="special">|=(</span><span class="keyword">const</span> <span class="emphasis"><em>see-below</em></span><span class="special">&amp;);</span>
+<span class="identifier">mp_number</span><span class="special">&amp;</span> <span class="keyword">operator</span><span class="special">^=(</span><span class="keyword">const</span> <span class="emphasis"><em>see-below</em></span><span class="special">&amp;);</span>
+<span class="identifier">mp_number</span><span class="special">&amp;</span> <span class="keyword">operator</span><span class="special">&lt;&lt;=(</span><span class="keyword">const</span> <span class="emphasis"><em>integer-type</em></span><span class="special">&amp;);</span>
+<span class="identifier">mp_number</span><span class="special">&amp;</span> <span class="keyword">operator</span><span class="special">&gt;&gt;=(</span><span class="keyword">const</span> <span class="emphasis"><em>integer-type</em></span><span class="special">&amp;);</span>
+</pre>
+<p>
+        These operators all take their usual arithmetic meanings.
+      </p>
+<p>
+        The arguments to these operators is either:
+      </p>
+<div class="itemizedlist"><ul class="itemizedlist" type="disc">
+<li class="listitem">
+            Another <code class="computeroutput"><span class="identifier">mp_number</span><span class="special">&lt;</span><span class="identifier">Backend</span><span class="special">,</span>
+            <span class="identifier">ExpressionTemplates</span><span class="special">&gt;</span></code>.
+          </li>
+<li class="listitem">
+            A builtin arithmetic type.
+          </li>
+<li class="listitem">
+            An expression template derived from <code class="computeroutput"><span class="identifier">mp_number</span><span class="special">&lt;</span><span class="identifier">Backend</span><span class="special">&gt;</span></code>.
+          </li>
+</ul></div>
+<p>
+        For the left and right shift operations, the argument must be a builtin integer
+        type with a positive value (negative values result in a <code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">runtime_error</span></code>
+        being thrown).
+      </p>
+<pre class="programlisting"><span class="keyword">operator</span> <span class="emphasis"><em>convertible-to-bool-type</em></span><span class="special">()</span><span class="keyword">const</span><span class="special">;</span>
+</pre>
+<p>
+        Returns an <span class="emphasis"><em>unmentionable-type</em></span> that is usable in Boolean
+        contexts (this allows <code class="computeroutput"><span class="identifier">mp_number</span></code>
+        to be used in any Boolean context - if statements, conditional statements,
+        or as an argument to a logical operator - without type <code class="computeroutput"><span class="identifier">mp_number</span></code>
+        being convertible to type <code class="computeroutput"><span class="keyword">bool</span></code>.
+      </p>
+<p>
+        This operator also enables the use of <code class="computeroutput"><span class="identifier">mp_number</span></code>
+        with any of the following operators: <code class="computeroutput"><span class="special">!</span></code>,
+        <code class="computeroutput"><span class="special">||</span></code>, <code class="computeroutput"><span class="special">&amp;&amp;</span></code>
+        and <code class="computeroutput"><span class="special">?:</span></code>.
+      </p>
+<pre class="programlisting"><span class="keyword">void</span> <span class="identifier">swap</span><span class="special">(</span><span class="identifier">mp_number</span><span class="special">&amp;</span> <span class="identifier">other</span><span class="special">);</span>
+</pre>
+<p>
+        Swaps <code class="computeroutput"><span class="special">*</span><span class="keyword">this</span></code>
+        with <code class="computeroutput"><span class="identifier">other</span></code>.
+      </p>
+<pre class="programlisting"><span class="keyword">bool</span> <span class="identifier">is_zero</span><span class="special">()</span><span class="keyword">const</span><span class="special">;</span>
+</pre>
+<p>
+        Returns <code class="computeroutput"><span class="keyword">true</span></code> is <code class="computeroutput"><span class="special">*</span><span class="keyword">this</span></code> is zero,
+        otherwise <code class="computeroutput"><span class="keyword">false</span></code>.
+      </p>
+<pre class="programlisting"><span class="keyword">int</span> <span class="identifier">sign</span><span class="special">()</span><span class="keyword">const</span><span class="special">;</span>
+</pre>
+<p>
+        Returns a value less than zero if <code class="computeroutput"><span class="special">*</span><span class="keyword">this</span></code> is negative, a value greater than zero
+        if <code class="computeroutput"><span class="special">*</span><span class="keyword">this</span></code>
+        is positive, and zero if <code class="computeroutput"><span class="special">*</span><span class="keyword">this</span></code>
+        is zero.
+      </p>
+<pre class="programlisting"><span class="identifier">std</span><span class="special">::</span><span class="identifier">string</span> <span class="identifier">str</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">precision</span><span class="special">,</span> <span class="keyword">bool</span> <span class="identifier">scientific</span> <span class="special">=</span> <span class="keyword">true</span><span class="special">)</span><span class="keyword">const</span><span class="special">;</span>
+</pre>
+<p>
+        Returns the number formatted as a string, with at least <span class="emphasis"><em>precision</em></span>
+        digits, and in scientific format if <span class="emphasis"><em>scientific</em></span> is true.
+      </p>
+<pre class="programlisting"><span class="keyword">template</span> <span class="special">&lt;</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">&gt;</span>
+<span class="identifier">T</span> <span class="identifier">convert_to</span><span class="special">()</span><span class="keyword">const</span><span class="special">;</span>
+</pre>
+<p>
+        Provides a generic conversion mechanism to convert <code class="computeroutput"><span class="special">*</span><span class="keyword">this</span></code> to type <code class="computeroutput"><span class="identifier">T</span></code>.
+        Type <code class="computeroutput"><span class="identifier">T</span></code> may be any arithmetic
+        type. Optionally other types may also be supported by specific <code class="computeroutput"><span class="identifier">Backend</span></code> types.
+      </p>
+<pre class="programlisting"><span class="keyword">static</span> <span class="keyword">unsigned</span> <span class="identifier">default_precision</span><span class="special">();</span>
+<span class="keyword">static</span> <span class="keyword">void</span> <span class="identifier">default_precision</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">digits10</span><span class="special">);</span>
+<span class="keyword">unsigned</span> <span class="identifier">precision</span><span class="special">()</span><span class="keyword">const</span><span class="special">;</span>
+<span class="keyword">void</span> <span class="identifier">precision</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">digits10</span><span class="special">);</span>
+</pre>
+<p>
+        These functions are only available if the Backend template parameter supports
+        runtime changes to precision. They get and set the default precision and
+        the precision of <code class="computeroutput"><span class="special">*</span><span class="keyword">this</span></code>
+        respectively.
+      </p>
+<pre class="programlisting"><span class="keyword">int</span> <span class="identifier">compare</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">mp_number</span><span class="special">&lt;</span><span class="identifier">Backend</span><span class="special">,</span> <span class="identifier">ExpressionTemplates</span><span class="special">&gt;&amp;</span> <span class="identifier">o</span><span class="special">)</span><span class="keyword">const</span><span class="special">;</span>
+<span class="keyword">template</span> <span class="special">&lt;</span><span class="keyword">class</span> <span class="identifier">V</span><span class="special">&gt;</span>
+<span class="keyword">typename</span> <span class="identifier">enable_if</span><span class="special">&lt;</span><span class="identifier">is_arithmetic</span><span class="special">&lt;</span><span class="identifier">V</span><span class="special">&gt;,</span> <span class="keyword">int</span><span class="special">&gt;::</span><span class="identifier">type</span> <span class="identifier">compare</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">V</span><span class="special">&amp;</span> <span class="identifier">other</span><span class="special">)</span><span class="keyword">const</span><span class="special">;</span>
+</pre>
+<p>
+        Returns:
+      </p>
+<div class="itemizedlist"><ul class="itemizedlist" type="disc">
+<li class="listitem">
+            A value less that 0 for <code class="computeroutput"><span class="special">*</span><span class="keyword">this</span> <span class="special">&lt;</span> <span class="identifier">other</span></code>
+          </li>
+<li class="listitem">
+            A value greater that 0 for <code class="computeroutput"><span class="special">*</span><span class="keyword">this</span> <span class="special">&gt;</span> <span class="identifier">other</span></code>
+          </li>
+<li class="listitem">
+            Zero for <code class="computeroutput"><span class="special">*</span><span class="keyword">this</span>
+            <span class="special">==</span> <span class="identifier">other</span></code>
+          </li>
+</ul></div>
+<pre class="programlisting"><span class="identifier">Backend</span><span class="special">&amp;</span> <span class="identifier">backend</span><span class="special">();</span>
+<span class="keyword">const</span> <span class="identifier">Backend</span><span class="special">&amp;</span> <span class="identifier">backend</span><span class="special">()</span><span class="keyword">const</span><span class="special">;</span>
+</pre>
+<p>
+        Returns the underlying back-end instance used by <code class="computeroutput"><span class="special">*</span><span class="keyword">this</span></code>.
+      </p>
+<h5>
+<a name="boost_multiprecision.ref.mp_number.h2"></a>
+        <span><a name="boost_multiprecision.ref.mp_number.non_member_operators"></a></span><a class="link" href="mp_number.html#boost_multiprecision.ref.mp_number.non_member_operators">Non-member
+        operators</a>
+      </h5>
+<pre class="programlisting"><span class="comment">// Non member operators:</span>
+<span class="emphasis"><em>unmentionable-expression-template-type</em></span> <span class="keyword">operator</span><span class="special">+(</span><span class="keyword">const</span> <span class="emphasis"><em>see-below</em></span><span class="special">&amp;,</span> <span class="keyword">const</span> <span class="emphasis"><em>see-below</em></span><span class="special">&amp;);</span>
+<span class="emphasis"><em>unmentionable-expression-template-type</em></span> <span class="keyword">operator</span><span class="special">-(</span><span class="keyword">const</span> <span class="emphasis"><em>see-below</em></span><span class="special">&amp;,</span> <span class="keyword">const</span> <span class="emphasis"><em>see-below</em></span><span class="special">&amp;);</span>
+<span class="emphasis"><em>unmentionable-expression-template-type</em></span> <span class="keyword">operator</span><span class="special">*(</span><span class="keyword">const</span> <span class="emphasis"><em>see-below</em></span><span class="special">&amp;,</span> <span class="keyword">const</span> <span class="emphasis"><em>see-below</em></span><span class="special">&amp;);</span>
+<span class="emphasis"><em>unmentionable-expression-template-type</em></span> <span class="keyword">operator</span><span class="special">/(</span><span class="keyword">const</span> <span class="emphasis"><em>see-below</em></span><span class="special">&amp;,</span> <span class="keyword">const</span> <span class="emphasis"><em>see-below</em></span><span class="special">&amp;);</span>
+<span class="comment">// Integer only operations:</span>
+<span class="emphasis"><em>unmentionable-expression-template-type</em></span> <span class="keyword">operator</span><span class="special">%(</span><span class="keyword">const</span> <span class="emphasis"><em>see-below</em></span><span class="special">&amp;,</span> <span class="keyword">const</span> <span class="emphasis"><em>see-below</em></span><span class="special">&amp;);</span>
+<span class="emphasis"><em>unmentionable-expression-template-type</em></span> <span class="keyword">operator</span><span class="special">&amp;(</span><span class="keyword">const</span> <span class="emphasis"><em>see-below</em></span><span class="special">&amp;,</span> <span class="keyword">const</span> <span class="emphasis"><em>see-below</em></span><span class="special">&amp;);</span>
+<span class="emphasis"><em>unmentionable-expression-template-type</em></span> <span class="keyword">operator</span><span class="special">|(</span><span class="keyword">const</span> <span class="emphasis"><em>see-below</em></span><span class="special">&amp;,</span> <span class="keyword">const</span> <span class="emphasis"><em>see-below</em></span><span class="special">&amp;);</span>
+<span class="emphasis"><em>unmentionable-expression-template-type</em></span> <span class="keyword">operator</span><span class="special">^(</span><span class="keyword">const</span> <span class="emphasis"><em>see-below</em></span><span class="special">&amp;,</span> <span class="keyword">const</span> <span class="emphasis"><em>see-below</em></span><span class="special">&amp;);</span>
+<span class="emphasis"><em>unmentionable-expression-template-type</em></span> <span class="keyword">operator</span><span class="special">&lt;&lt;(</span><span class="keyword">const</span> <span class="emphasis"><em>see-below</em></span><span class="special">&amp;,</span> <span class="keyword">const</span> <span class="emphasis"><em>integer-type</em></span><span class="special">&amp;);</span>
+<span class="emphasis"><em>unmentionable-expression-template-type</em></span> <span class="keyword">operator</span><span class="special">&gt;&gt;(</span><span class="keyword">const</span> <span class="emphasis"><em>see-below</em></span><span class="special">&amp;,</span> <span class="keyword">const</span> <span class="emphasis"><em>integer-type</em></span><span class="special">&amp;);</span>
+<span class="comment">// Comparison operators:</span>
+<span class="keyword">bool</span> <span class="keyword">operator</span><span class="special">==(</span><span class="keyword">const</span> <span class="emphasis"><em>see-below</em></span><span class="special">&amp;,</span> <span class="keyword">const</span> <span class="emphasis"><em>see-below</em></span><span class="special">&amp;);</span>
+<span class="keyword">bool</span> <span class="keyword">operator</span><span class="special">!=(</span><span class="keyword">const</span> <span class="emphasis"><em>see-below</em></span><span class="special">&amp;,</span> <span class="keyword">const</span> <span class="emphasis"><em>see-below</em></span><span class="special">&amp;);</span>
+<span class="keyword">bool</span> <span class="keyword">operator</span><span class="special">&lt;</span> <span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>see-below</em></span><span class="special">&amp;,</span> <span class="keyword">const</span> <span class="emphasis"><em>see-below</em></span><span class="special">&amp;);</span>
+<span class="keyword">bool</span> <span class="keyword">operator</span><span class="special">&gt;</span> <span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>see-below</em></span><span class="special">&amp;,</span> <span class="keyword">const</span> <span class="emphasis"><em>see-below</em></span><span class="special">&amp;);</span>
+<span class="keyword">bool</span> <span class="keyword">operator</span><span class="special">&lt;=(</span><span class="keyword">const</span> <span class="emphasis"><em>see-below</em></span><span class="special">&amp;,</span> <span class="keyword">const</span> <span class="emphasis"><em>see-below</em></span><span class="special">&amp;);</span>
+<span class="keyword">bool</span> <span class="keyword">operator</span><span class="special">&gt;=(</span><span class="keyword">const</span> <span class="emphasis"><em>see-below</em></span><span class="special">&amp;,</span> <span class="keyword">const</span> <span class="emphasis"><em>see-below</em></span><span class="special">&amp;);</span>
+</pre>
+<p>
+        These operators all take their usual arithmetic meanings.
+      </p>
+<p>
+        The arguments to these functions must contain at least one of the following:
+      </p>
+<div class="itemizedlist"><ul class="itemizedlist" type="disc">
+<li class="listitem">
+            An <code class="computeroutput"><span class="identifier">mp_number</span></code>.
+          </li>
+<li class="listitem">
+            An expression template type derived from <code class="computeroutput"><span class="identifier">mp_number</span></code>.
+          </li>
+</ul></div>
+<p>
+        In addition, one of the two arguments may be a builtin arithmetic type.
+      </p>
+<p>
+        The return type of these operators is either:
+      </p>
+<div class="itemizedlist"><ul class="itemizedlist" type="disc">
+<li class="listitem">
+            An <span class="emphasis"><em>unmentionable-type</em></span> expression template type when
+            <code class="computeroutput"><span class="identifier">ExpressionTemplates</span></code> is
+            <code class="computeroutput"><span class="keyword">true</span></code>.
+          </li>
+<li class="listitem">
+            Type <code class="computeroutput"><span class="identifier">mp_number</span><span class="special">&lt;</span><span class="identifier">Backend</span><span class="special">,</span>
+            <span class="keyword">false</span><span class="special">&gt;</span></code>
+            when <code class="computeroutput"><span class="identifier">ExpressionTemplates</span></code>
+            is <code class="computeroutput"><span class="keyword">false</span></code>.
+          </li>
+<li class="listitem">
+            Type <code class="computeroutput"><span class="keyword">bool</span></code> if the operator
+            is a comparison operator.
+          </li>
+</ul></div>
+<p>
+        Finally note that the second argument to the left and right shift operations
+        must be a builtin integer type, and that the argument must be positive (negative
+        arguments result in a <code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">runtime_error</span></code>
+        being thrown).
+      </p>
+<h5>
+<a name="boost_multiprecision.ref.mp_number.h3"></a>
+        <span><a name="boost_multiprecision.ref.mp_number.swap"></a></span><a class="link" href="mp_number.html#boost_multiprecision.ref.mp_number.swap">swap</a>
+      </h5>
+<pre class="programlisting"><span class="keyword">template</span> <span class="special">&lt;</span><span class="keyword">class</span> <span class="identifier">Backend</span><span class="special">,</span> <span class="identifier">ExpressionTemplates</span><span class="special">&gt;</span>
+<span class="keyword">void</span> <span class="identifier">swap</span><span class="special">(</span><span class="identifier">mp_number</span><span class="special">&lt;</span><span class="identifier">Backend</span><span class="special">,</span> <span class="identifier">ExpressionTemplates</span><span class="special">&gt;&amp;</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">mp_number</span><span class="special">&lt;</span><span class="identifier">Backend</span><span class="special">,</span> <span class="identifier">ExpressionTemplates</span><span class="special">&gt;&amp;</span> <span class="identifier">b</span><span class="special">);</span>
+</pre>
+<p>
+        Swaps <code class="computeroutput"><span class="identifier">a</span></code> and <code class="computeroutput"><span class="identifier">b</span></code>.
+      </p>
+<h5>
+<a name="boost_multiprecision.ref.mp_number.h4"></a>
+        <span><a name="boost_multiprecision.ref.mp_number.iostream_support"></a></span><a class="link" href="mp_number.html#boost_multiprecision.ref.mp_number.iostream_support">Iostream
+        Support</a>
+      </h5>
+<pre class="programlisting"><span class="keyword">template</span> <span class="special">&lt;</span><span class="keyword">class</span> <span class="identifier">Backend</span><span class="special">,</span> <span class="keyword">bool</span> <span class="identifier">ExpressionTemplates</span><span class="special">&gt;</span>
+<span class="identifier">std</span><span class="special">::</span><span class="identifier">ostream</span><span class="special">&amp;</span> <span class="keyword">operator</span> <span class="special">&lt;&lt;</span> <span class="special">(</span><span class="identifier">std</span><span class="special">::</span><span class="identifier">ostream</span><span class="special">&amp;</span> <span class="identifier">os</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">mp_number</span><span class="special">&lt;</span><span class="identifier">Backend</span><span class="special">,</span> <span class="identifier">ExpressionTemplates</span><span class="special">&gt;&amp;</span> <span class="identifier">r</span><span class="special">);</span>
+<span class="keyword">template</span> <span class="special">&lt;</span><span class="keyword">class</span> <span class="identifier">Unspecified</span><span class="special">...&gt;</span>
+<span class="identifier">std</span><span class="special">::</span><span class="identifier">ostream</span><span class="special">&amp;</span> <span class="keyword">operator</span> <span class="special">&lt;&lt;</span> <span class="special">(</span><span class="identifier">std</span><span class="special">::</span><span class="identifier">ostream</span><span class="special">&amp;</span> <span class="identifier">os</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">unmentionable</span><span class="special">-</span><span class="identifier">expression</span><span class="special">-</span><span class="keyword">template</span><span class="special">&amp;</span> <span class="identifier">r</span><span class="special">);</span>
+<span class="keyword">template</span> <span class="special">&lt;</span><span class="keyword">class</span> <span class="identifier">Backend</span><span class="special">,</span> <span class="keyword">bool</span> <span class="identifier">ExpressionTemplates</span><span class="special">&gt;</span>
+<span class="keyword">inline</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">istream</span><span class="special">&amp;</span> <span class="keyword">operator</span> <span class="special">&gt;&gt;</span> <span class="special">(</span><span class="identifier">std</span><span class="special">::</span><span class="identifier">istream</span><span class="special">&amp;</span> <span class="identifier">is</span><span class="special">,</span> <span class="identifier">mp_number</span><span class="special">&lt;</span><span class="identifier">Backend</span><span class="special">,</span> <span class="identifier">ExpressionTemplates</span><span class="special">&gt;&amp;</span> <span class="identifier">r</span><span class="special">)</span>
+</pre>
+<p>
+        These operators provided formatted input-output operations on <code class="computeroutput"><span class="identifier">mp_number</span></code> types, and expression templates
+        derived from them.
+      </p>
+<p>
+        It's down to the back-end type to actually implement string conversion. However,
+        the back-ends provided with this library support all of the iostream formatting
+        flags, field width and precision settings.
+      </p>
+<h5>
+<a name="boost_multiprecision.ref.mp_number.h5"></a>
+        <span><a name="boost_multiprecision.ref.mp_number.non_member_standard_library_function_support"></a></span><a class="link" href="mp_number.html#boost_multiprecision.ref.mp_number.non_member_standard_library_function_support">Non-member
+        standard library function support</a>
+      </h5>
+<pre class="programlisting"><span class="emphasis"><em>unmentionable-expression-template-type</em></span>    <span class="identifier">abs</span>    <span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>mp_number-or-expression-template-type</em></span><span class="special">&amp;);</span>
+<span class="emphasis"><em>unmentionable-expression-template-type</em></span>    <span class="identifier">fabs</span>   <span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>mp_number-or-expression-template-type</em></span><span class="special">&amp;);</span>
+<span class="emphasis"><em>unmentionable-expression-template-type</em></span>    <span class="identifier">sqrt</span>   <span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>mp_number-or-expression-template-type</em></span><span class="special">&amp;);</span>
+<span class="emphasis"><em>unmentionable-expression-template-type</em></span>    <span class="identifier">floor</span>  <span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>mp_number-or-expression-template-type</em></span><span class="special">&amp;);</span>
+<span class="emphasis"><em>unmentionable-expression-template-type</em></span>    <span class="identifier">ceil</span>   <span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>mp_number-or-expression-template-type</em></span><span class="special">&amp;);</span>
+<span class="emphasis"><em>unmentionable-expression-template-type</em></span>    <span class="identifier">trunc</span>  <span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>mp_number-or-expression-template-type</em></span><span class="special">&amp;);</span>
+<span class="emphasis"><em>unmentionable-expression-template-type</em></span>    <span class="identifier">itrunc</span> <span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>mp_number-or-expression-template-type</em></span><span class="special">&amp;);</span>
+<span class="emphasis"><em>unmentionable-expression-template-type</em></span>    <span class="identifier">ltrunc</span> <span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>mp_number-or-expression-template-type</em></span><span class="special">&amp;);</span>
+<span class="emphasis"><em>unmentionable-expression-template-type</em></span>    <span class="identifier">lltrunc</span><span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>mp_number-or-expression-template-type</em></span><span class="special">&amp;);</span>
+<span class="emphasis"><em>unmentionable-expression-template-type</em></span>    <span class="identifier">round</span>  <span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>mp_number-or-expression-template-type</em></span><span class="special">&amp;);</span>
+<span class="emphasis"><em>unmentionable-expression-template-type</em></span>    <span class="identifier">iround</span> <span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>mp_number-or-expression-template-type</em></span><span class="special">&amp;);</span>
+<span class="emphasis"><em>unmentionable-expression-template-type</em></span>    <span class="identifier">lround</span> <span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>mp_number-or-expression-template-type</em></span><span class="special">&amp;);</span>
+<span class="emphasis"><em>unmentionable-expression-template-type</em></span>    <span class="identifier">llround</span><span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>mp_number-or-expression-template-type</em></span><span class="special">&amp;);</span>
+<span class="emphasis"><em>unmentionable-expression-template-type</em></span>    <span class="identifier">exp</span>    <span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>mp_number-or-expression-template-type</em></span><span class="special">&amp;);</span>
+<span class="emphasis"><em>unmentionable-expression-template-type</em></span>    <span class="identifier">log</span>    <span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>mp_number-or-expression-template-type</em></span><span class="special">&amp;);</span>
+<span class="emphasis"><em>unmentionable-expression-template-type</em></span>    <span class="identifier">log10</span>    <span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>mp_number-or-expression-template-type</em></span><span class="special">&amp;);</span>
+<span class="emphasis"><em>unmentionable-expression-template-type</em></span>    <span class="identifier">cos</span>    <span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>mp_number-or-expression-template-type</em></span><span class="special">&amp;);</span>
+<span class="emphasis"><em>unmentionable-expression-template-type</em></span>    <span class="identifier">sin</span>    <span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>mp_number-or-expression-template-type</em></span><span class="special">&amp;);</span>
+<span class="emphasis"><em>unmentionable-expression-template-type</em></span>    <span class="identifier">tan</span>    <span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>mp_number-or-expression-template-type</em></span><span class="special">&amp;);</span>
+<span class="emphasis"><em>unmentionable-expression-template-type</em></span>    <span class="identifier">acos</span>   <span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>mp_number-or-expression-template-type</em></span><span class="special">&amp;);</span>
+<span class="emphasis"><em>unmentionable-expression-template-type</em></span>    <span class="identifier">asin</span>   <span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>mp_number-or-expression-template-type</em></span><span class="special">&amp;);</span>
+<span class="emphasis"><em>unmentionable-expression-template-type</em></span>    <span class="identifier">atan</span>   <span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>mp_number-or-expression-template-type</em></span><span class="special">&amp;);</span>
+<span class="emphasis"><em>unmentionable-expression-template-type</em></span>    <span class="identifier">cosh</span>   <span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>mp_number-or-expression-template-type</em></span><span class="special">&amp;);</span>
+<span class="emphasis"><em>unmentionable-expression-template-type</em></span>    <span class="identifier">sinh</span>   <span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>mp_number-or-expression-template-type</em></span><span class="special">&amp;);</span>
+<span class="emphasis"><em>unmentionable-expression-template-type</em></span>    <span class="identifier">tanh</span>   <span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>mp_number-or-expression-template-type</em></span><span class="special">&amp;);</span>
+
+<span class="emphasis"><em>unmentionable-expression-template-type</em></span>    <span class="identifier">ldexp</span> <span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>mp_number-or-expression-template-type</em></span><span class="special">&amp;,</span> <span class="keyword">int</span><span class="special">);</span>
+<span class="emphasis"><em>unmentionable-expression-template-type</em></span>    <span class="identifier">frexp</span> <span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>mp_number-or-expression-template-type</em></span><span class="special">&amp;,</span> <span class="keyword">int</span><span class="special">*);</span>
+<span class="emphasis"><em>unmentionable-expression-template-type</em></span>    <span class="identifier">pow</span>   <span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>mp_number-or-expression-template-type</em></span><span class="special">&amp;,</span> <span class="keyword">const</span> <span class="emphasis"><em>mp_number-or-expression-template-type</em></span><span class="special">&amp;);</span>
+<span class="emphasis"><em>unmentionable-expression-template-type</em></span>    <span class="identifier">fmod</span>  <span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>mp_number-or-expression-template-type</em></span><span class="special">&amp;,</span> <span class="keyword">const</span> <span class="emphasis"><em>mp_number-or-expression-template-type</em></span><span class="special">&amp;);</span>
+<span class="emphasis"><em>unmentionable-expression-template-type</em></span>    <span class="identifier">atan2</span> <span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>mp_number-or-expression-template-type</em></span><span class="special">&amp;,</span> <span class="keyword">const</span> <span class="emphasis"><em>mp_number-or-expression-template-type</em></span><span class="special">&amp;);</span>
+</pre>
+<p>
+        These functions all behave exactly as their standard library counterparts
+        do: their argument is either an instance of <code class="computeroutput"><span class="identifier">mp_number</span></code>
+        or an expression template derived from it; If the argument is of type <code class="computeroutput"><span class="identifier">mp_number</span><span class="special">&lt;</span><span class="identifier">Backend</span><span class="special">,</span> <span class="keyword">false</span><span class="special">&gt;</span></code>
+        then that is also the return type, otherwise the return type is an expression
+        template.
+      </p>
+<p>
+        These functions are normally implemented by the Backend type. However, default
+        versions are provided for Backend types that don't have native support for
+        these functions. Please note however, that this default support requires
+        the precision of the type to be a compile time constant - this means for
+        example that the GMP MPF Backend will
+        not work with these functions when that type is used at variable precision.
+      </p>
+<p>
+        Also note that with the exception of <code class="computeroutput"><span class="identifier">abs</span></code>
+        that these functions can only be used with floating-point Backend types.
+      </p>
+<h5>
+<a name="boost_multiprecision.ref.mp_number.h6"></a>
+        <span><a name="boost_multiprecision.ref.mp_number.traits_class_support"></a></span><a class="link" href="mp_number.html#boost_multiprecision.ref.mp_number.traits_class_support">Traits
+        Class Support</a>
+      </h5>
+<pre class="programlisting"><span class="keyword">template</span> <span class="special">&lt;</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">&gt;</span>
+<span class="keyword">struct</span> <span class="identifier">component_type</span><span class="special">;</span>
+</pre>
+<p>
+        If this is a type with mutiple components (for example rational or complex
+        types), then this trait has a single member <code class="computeroutput"><span class="identifier">type</span></code>
+        that is the type of those components.
+      </p>
+<pre class="programlisting"><span class="keyword">template</span> <span class="special">&lt;</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">&gt;</span>
+<span class="keyword">struct</span> <span class="identifier">number_category</span><span class="special">;</span>
+</pre>
+<p>
+        A traits class that inherits from <code class="computeroutput"><span class="identifier">mpl</span><span class="special">::</span><span class="identifier">int_</span><span class="special">&lt;</span><span class="identifier">N</span><span class="special">&gt;</span></code>
+        where <code class="computeroutput"><span class="identifier">N</span></code> is one of the enumerated
+        values <code class="computeroutput"><span class="identifier">number_kind_integer</span></code>,
+        <code class="computeroutput"><span class="identifier">number_kind_floating_point</span></code>,
+        <code class="computeroutput"><span class="identifier">number_kind_rational</span></code> or
+        <code class="computeroutput"><span class="identifier">number_kind_fixed_point</span></code>.
+      </p>
+<h5>
+<a name="boost_multiprecision.ref.mp_number.h7"></a>
+        <span><a name="boost_multiprecision.ref.mp_number.integer_functions"></a></span><a class="link" href="mp_number.html#boost_multiprecision.ref.mp_number.integer_functions">Integer functions</a>
+      </h5>
+<pre class="programlisting"><span class="keyword">template</span> <span class="special">&lt;</span><span class="keyword">class</span> <span class="identifier">Backend</span><span class="special">,</span> <span class="keyword">bool</span> <span class="identifier">ExpressionTemplates</span><span class="special">&gt;</span>
+<span class="keyword">bool</span> <span class="identifier">divide_qr</span><span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>mp_number-or-expression-template-type</em></span><span class="special">&amp;</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">const</span> <span class="emphasis"><em>mp_number-or-expression-template-type</em></span><span class="special">&amp;</span> <span class="identifier">y</span><span class="special">,</span>
+               <span class="identifier">mp_number</span><span class="special">&lt;</span><span class="identifier">Backend</span><span class="special">,</span> <span class="identifier">ExpressionTemplates</span><span class="special">&gt;&amp;</span> <span class="identifier">q</span><span class="special">,</span> <span class="identifier">mp_number</span><span class="special">&lt;</span><span class="identifier">Backend</span><span class="special">,</span> <span class="identifier">ExpressionTemplates</span><span class="special">&gt;&amp;</span> <span class="identifier">r</span><span class="special">);</span>
+</pre>
+<p>
+        Divides x by y and returns both the quotient and remainder. After the call
+        <code class="computeroutput"><span class="identifier">q</span> <span class="special">=</span>
+        <span class="identifier">x</span> <span class="special">/</span> <span class="identifier">y</span></code> and <code class="computeroutput"><span class="identifier">r</span>
+        <span class="special">=</span> <span class="identifier">x</span> <span class="special">%</span> <span class="identifier">y</span></code>.
+      </p>
+<pre class="programlisting"><span class="keyword">template</span> <span class="special">&lt;</span><span class="keyword">class</span> <span class="identifier">Integer</span><span class="special">&gt;</span>
+<span class="identifier">Integer</span> <span class="identifier">integer_modulus</span><span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>mp_number-or-expression-template-type</em></span><span class="special">&amp;</span> <span class="identifier">x</span><span class="special">,</span> <span class="identifier">Integer</span> <span class="identifier">val</span><span class="special">);</span>
+</pre>
+<p>
+        Returns the absolute value of <code class="computeroutput"><span class="identifier">x</span>
+        <span class="special">%</span> <span class="identifier">val</span></code>.
+      </p>
+<pre class="programlisting"><span class="keyword">unsigned</span> <span class="identifier">lsb</span><span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>mp_number-or-expression-template-type</em></span><span class="special">&amp;</span> <span class="identifier">x</span><span class="special">);</span>
+</pre>
+<p>
+        Returns the index of the least significant bit that is set to 1.
+      </p>
+<pre class="programlisting"><span class="keyword">template</span> <span class="special">&lt;</span><span class="keyword">class</span> <span class="identifier">Backend</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">ExpressionTemplates</span><span class="special">&gt;</span>
+<span class="keyword">bool</span> <span class="identifier">bit_test</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">mp_number</span><span class="special">&lt;</span><span class="identifier">Backend</span><span class="special">,</span> <span class="identifier">ExpressionTemplates</span><span class="special">&gt;&amp;</span> <span class="identifier">val</span><span class="special">,</span> <span class="keyword">unsigned</span> <span class="identifier">index</span><span class="special">);</span>
+</pre>
+<p>
+        Returns <code class="computeroutput"><span class="keyword">true</span></code> if the bit at
+        <span class="emphasis"><em>index</em></span> in <span class="emphasis"><em>val</em></span> is set.
+      </p>
+<pre class="programlisting"><span class="keyword">template</span> <span class="special">&lt;</span><span class="keyword">class</span> <span class="identifier">Backend</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">ExpressionTemplates</span><span class="special">&gt;</span>
+<span class="identifier">mp_number</span><span class="special">&lt;</span><span class="identifier">Backend</span><span class="special">,</span> <span class="identifier">ExpressionTemplates</span><span class="special">&gt;&amp;</span> <span class="identifier">bit_set</span><span class="special">(</span><span class="identifier">mp_number</span><span class="special">&lt;</span><span class="identifier">Backend</span><span class="special">,</span> <span class="identifier">ExpressionTemplates</span><span class="special">&gt;&amp;</span> <span class="identifier">val</span><span class="special">,</span> <span class="keyword">unsigned</span> <span class="identifier">index</span><span class="special">);</span>
+</pre>
+<p>
+        Sets the bit at <span class="emphasis"><em>index</em></span> in <span class="emphasis"><em>val</em></span>, and
+        returns <span class="emphasis"><em>val</em></span>.
+      </p>
+<pre class="programlisting"><span class="keyword">template</span> <span class="special">&lt;</span><span class="keyword">class</span> <span class="identifier">Backend</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">ExpressionTemplates</span><span class="special">&gt;</span>
+<span class="identifier">mp_number</span><span class="special">&lt;</span><span class="identifier">Backend</span><span class="special">,</span> <span class="identifier">ExpressionTemplates</span><span class="special">&gt;&amp;</span> <span class="identifier">bit_unset</span><span class="special">(</span><span class="identifier">mp_number</span><span class="special">&lt;</span><span class="identifier">Backend</span><span class="special">,</span> <span class="identifier">ExpressionTemplates</span><span class="special">&gt;&amp;</span> <span class="identifier">val</span><span class="special">,</span> <span class="keyword">unsigned</span> <span class="identifier">index</span><span class="special">);</span>
+</pre>
+<p>
+        Unsets the bit at <span class="emphasis"><em>index</em></span> in <span class="emphasis"><em>val</em></span>,
+        and returns <span class="emphasis"><em>val</em></span>.
+      </p>
+<pre class="programlisting"><span class="keyword">template</span> <span class="special">&lt;</span><span class="keyword">class</span> <span class="identifier">Backend</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">ExpressionTemplates</span><span class="special">&gt;</span>
+<span class="identifier">mp_number</span><span class="special">&lt;</span><span class="identifier">Backend</span><span class="special">,</span> <span class="identifier">ExpressionTemplates</span><span class="special">&gt;&amp;</span> <span class="identifier">bit_flip</span><span class="special">(</span><span class="identifier">mp_number</span><span class="special">&lt;</span><span class="identifier">Backend</span><span class="special">,</span> <span class="identifier">ExpressionTemplates</span><span class="special">&gt;&amp;</span> <span class="identifier">val</span><span class="special">,</span> <span class="keyword">unsigned</span> <span class="identifier">index</span><span class="special">);</span>
+</pre>
+<p>
+        Flips the bit at <span class="emphasis"><em>index</em></span> in <span class="emphasis"><em>val</em></span>,
+        and returns <span class="emphasis"><em>val</em></span>.
+      </p>
+<pre class="programlisting"><span class="keyword">template</span> <span class="special">&lt;</span><span class="keyword">class</span> <span class="identifier">Engine</span><span class="special">&gt;</span>
+<span class="keyword">bool</span> <span class="identifier">miller_rabin_test</span><span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>mp_number-or-expression-template-type</em></span><span class="special">&amp;</span> <span class="identifier">n</span><span class="special">,</span> <span class="keyword">unsigned</span> <span class="identifier">trials</span><span class="special">,</span> <span class="identifier">Engine</span><span class="special">&amp;</span> <span class="identifier">gen</span><span class="special">);</span>
+<span class="keyword">bool</span> <span class="identifier">miller_rabin_test</span><span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>mp_number-or-expression-template-type</em></span><span class="special">&amp;</span> <span class="identifier">n</span><span class="special">,</span> <span class="keyword">unsigned</span> <span class="identifier">trials</span><span class="special">);</span>
+</pre>
+<p>
+        Tests to see if the number <span class="emphasis"><em>n</em></span> is probably prime - the
+        test excludes the vast majority of composite numbers by excluding small prime
+        factors and performing a single Fermat test. Then performs <span class="emphasis"><em>trials</em></span>
+        Miller-Rabin tests. Returns <code class="computeroutput"><span class="keyword">false</span></code>
+        if <span class="emphasis"><em>n</em></span> is definitely composite, or <code class="computeroutput"><span class="keyword">true</span></code>
+        if <span class="emphasis"><em>n</em></span> is probably prime with the probability of it being
+        composite less than 0.25^trials.
+      </p>
+<h5>
+<a name="boost_multiprecision.ref.mp_number.h8"></a>
+        <span><a name="boost_multiprecision.ref.mp_number.rational_number_functions"></a></span><a class="link" href="mp_number.html#boost_multiprecision.ref.mp_number.rational_number_functions">Rational
+        Number Functions</a>
+      </h5>
+<pre class="programlisting"><span class="keyword">typename</span> <span class="identifier">component_type</span><span class="special">&lt;</span><span class="emphasis"><em>mp_number-or-expression-template-type</em></span><span class="special">&gt;::</span><span class="identifier">type</span> <span class="identifier">numerator</span>  <span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>mp_number-or-expression-template-type</em></span><span class="special">&amp;);</span>
+<span class="keyword">typename</span> <span class="identifier">component_type</span><span class="special">&lt;</span><span class="emphasis"><em>mp_number-or-expression-template-type</em></span><span class="special">&gt;::</span><span class="identifier">type</span> <span class="identifier">denominator</span><span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>mp_number-or-expression-template-type</em></span><span class="special">&amp;);</span>
+</pre>
+<p>
+        These functions return the numerator and denominator of a rational number
+        respectively.
+      </p>
+<h5>
+<a name="boost_multiprecision.ref.mp_number.h9"></a>
+        <span><a name="boost_multiprecision.ref.mp_number.boost_math_interoperability_support"></a></span><a class="link" href="mp_number.html#boost_multiprecision.ref.mp_number.boost_math_interoperability_support">Boost.Math
+        Interoperability Support</a>
+      </h5>
+<pre class="programlisting"><span class="keyword">namespace</span> <span class="identifier">boost</span><span class="special">{</span> <span class="keyword">namespace</span> <span class="identifier">math</span><span class="special">{</span>
+
+<span class="keyword">int</span>  <span class="identifier">fpclassify</span>     <span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>mp_number-or-expression-template-type</em></span><span class="special">&amp;,</span> <span class="keyword">int</span><span class="special">);</span>
+<span class="keyword">bool</span> <span class="identifier">isfinite</span>       <span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>mp_number-or-expression-template-type</em></span><span class="special">&amp;,</span> <span class="keyword">int</span><span class="special">);</span>
+<span class="keyword">bool</span> <span class="identifier">isnan</span>          <span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>mp_number-or-expression-template-type</em></span><span class="special">&amp;,</span> <span class="keyword">int</span><span class="special">);</span>
+<span class="keyword">bool</span> <span class="identifier">isinf</span>          <span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>mp_number-or-expression-template-type</em></span><span class="special">&amp;,</span> <span class="keyword">int</span><span class="special">);</span>
+<span class="keyword">bool</span> <span class="identifier">isnormal</span>       <span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>mp_number-or-expression-template-type</em></span><span class="special">&amp;,</span> <span class="keyword">int</span><span class="special">);</span>
+
+<span class="special">}}</span> <span class="comment">// namespaces</span>
+</pre>
+<p>
+        These floating-point classification functions behave exactly as their Boost.Math
+        equivalents.
+      </p>
+<p>
+        Other Boost.Math functions and templates may also be specialized or overloaded
+        to ensure interoperability.
+      </p>
+<h5>
+<a name="boost_multiprecision.ref.mp_number.h10"></a>
+        <span><a name="boost_multiprecision.ref.mp_number.std__numeric_limits_support"></a></span><a class="link" href="mp_number.html#boost_multiprecision.ref.mp_number.std__numeric_limits_support">std::numeric_limits
+        support</a>
+      </h5>
+<pre class="programlisting"><span class="keyword">namespace</span> <span class="identifier">std</span><span class="special">{</span>
+
+<span class="keyword">template</span> <span class="special">&lt;</span><span class="keyword">class</span> <span class="identifier">Backend</span><span class="special">,</span> <span class="identifier">ExpressionTemplates</span><span class="special">&gt;</span>
+<span class="keyword">struct</span> <span class="identifier">numeric_limits</span><span class="special">&lt;</span><span class="identifier">boost</span><span class="special">::</span><span class="identifier">multiprecision</span><span class="special">&lt;</span><span class="identifier">Backend</span><span class="special">,</span> <span class="identifier">ExpressionTemplates</span><span class="special">&gt;</span> <span class="special">&gt;</span>
+<span class="special">{</span>
+   <span class="comment">/* Usual members here */</span>
+<span class="special">};</span>
+
+<span class="special">}</span>
+</pre>
+<p>
+        Class template <code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">numeric_limits</span></code> is specialized for all instantiations
+        of <code class="computeroutput"><span class="identifier">mp_number</span></code> whose precision
+        is known at compile time, plus those types whose precision is unlimited (though
+        it is much less useful in those cases). It is not specialized for types whose
+        precision can vary at compile time (such as <code class="computeroutput"><span class="identifier">mpf_float</span></code>).
+      </p>
+</div>
+<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
+<td align="left"></td>
+<td align="right"><div class="copyright-footer">Copyright &#169; 2002-2012 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 http://www.boost.org/LICENSE_1_0.txt)
+      </p>
+</div></td>
+</tr></table>
+<hr>
+<div class="spirit-nav">
+<a accesskey="p" href="../ref.html"><img src="../../images/prev.png" alt="Prev"></a><a accesskey="u" href="../ref.html"><img src="../../images/up.png" alt="Up"></a><a accesskey="h" href="../../index.html"><img src="../../images/home.png" alt="Home"></a><a accesskey="n" href="cpp_int_ref.html"><img src="../../images/next.png" alt="Next"></a>
+</div>
+</body>
+</html>

Added: sandbox/big_number/libs/multiprecision/doc/html/boost_multiprecision/ref/mpf_ref.html
==============================================================================
--- (empty file)
+++ sandbox/big_number/libs/multiprecision/doc/html/boost_multiprecision/ref/mpf_ref.html	2012-03-30 14:35:38 EDT (Fri, 30 Mar 2012)
@@ -0,0 +1,67 @@
+<html>
+<head>
+<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
+<title>gmp_float</title>
+<link rel="stylesheet" href="http://www.boost.org/doc/libs/release/doc/src/boostbook.css" type="text/css">
+<meta name="generator" content="DocBook XSL Stylesheets V1.76.1">
+<link rel="home" href="../../index.html" title="Chapter&#160;1.&#160;Boost.Multiprecision">
+<link rel="up" href="../ref.html" title="Reference">
+<link rel="prev" href="tom_int_ref.html" title="tom_int">
+<link rel="next" href="mpfr_ref.html" title="mpfr_float_backend">
+</head>
+<body bgcolor="white" text="black" link="#0000FF" vlink="#840084" alink="#0000FF">
+<div class="spirit-nav">
+<a accesskey="p" href="tom_int_ref.html"><img src="../../images/prev.png" alt="Prev"></a><a accesskey="u" href="../ref.html"><img src="../../images/up.png" alt="Up"></a><a accesskey="h" href="../../index.html"><img src="../../images/home.png" alt="Home"></a><a accesskey="n" href="mpfr_ref.html"><img src="../../images/next.png" alt="Next"></a>
+</div>
+<div class="section boost_multiprecision_ref_mpf_ref">
+<div class="titlepage"><div><div><h3 class="title">
+<a name="boost_multiprecision.ref.mpf_ref"></a><a class="link" href="mpf_ref.html" title="gmp_float">gmp_float</a>
+</h3></div></div></div>
+<pre class="programlisting"><span class="keyword">namespace</span> <span class="identifier">boost</span><span class="special">{</span> <span class="keyword">namespace</span> <span class="identifier">multiprecision</span><span class="special">{</span>
+
+<span class="keyword">template</span> <span class="special">&lt;</span><span class="keyword">unsigned</span> <span class="identifier">Digits10</span><span class="special">&gt;</span>
+<span class="keyword">class</span> <span class="identifier">gmp_float</span><span class="special">;</span>
+
+<span class="keyword">typedef</span> <span class="identifier">mp_number</span><span class="special">&lt;</span><span class="identifier">gmp_float</span><span class="special">&lt;</span><span class="number">50</span><span class="special">&gt;</span> <span class="special">&gt;</span>    <span class="identifier">mpf_float_50</span><span class="special">;</span>
+<span class="keyword">typedef</span> <span class="identifier">mp_number</span><span class="special">&lt;</span><span class="identifier">gmp_float</span><span class="special">&lt;</span><span class="number">100</span><span class="special">&gt;</span> <span class="special">&gt;</span>   <span class="identifier">mpf_float_100</span><span class="special">;</span>
+<span class="keyword">typedef</span> <span class="identifier">mp_number</span><span class="special">&lt;</span><span class="identifier">gmp_float</span><span class="special">&lt;</span><span class="number">500</span><span class="special">&gt;</span> <span class="special">&gt;</span>   <span class="identifier">mpf_float_500</span><span class="special">;</span>
+<span class="keyword">typedef</span> <span class="identifier">mp_number</span><span class="special">&lt;</span><span class="identifier">gmp_float</span><span class="special">&lt;</span><span class="number">1000</span><span class="special">&gt;</span> <span class="special">&gt;</span>  <span class="identifier">mpf_float_1000</span><span class="special">;</span>
+<span class="keyword">typedef</span> <span class="identifier">mp_number</span><span class="special">&lt;</span><span class="identifier">gmp_float</span><span class="special">&lt;</span><span class="number">0</span><span class="special">&gt;</span> <span class="special">&gt;</span>     <span class="identifier">mpf_float</span><span class="special">;</span>
+
+<span class="special">}}</span> <span class="comment">// namespaces</span>
+</pre>
+<p>
+        Class template <code class="computeroutput"><span class="identifier">gmp_float</span></code>
+        fulfills all of the requirements for a <a class="link" href="backendconc.html" title="Backend Requirements">Backend</a>
+        type. It's members and non-member functions are deliberately not documented:
+        these are considered implementation details that are subject to change.
+      </p>
+<p>
+        The class takes a single template parameter - <code class="computeroutput"><span class="identifier">Digits10</span></code>
+        - which is the number of decimal digits precision the type should support.
+        When this parameter is zero, then the precision can be set at runtime via
+        <code class="computeroutput"><span class="identifier">mp_number</span><span class="special">::</span><span class="identifier">default_precision</span></code> and <code class="computeroutput"><span class="identifier">mp_number</span><span class="special">::</span><span class="identifier">precision</span></code>.
+        Note that this type does not in any way change the GMP library's global state
+        (for example it does not change the default precision of the mpf_t data type),
+        therefore you can safely mix this type with existing code that uses GMP,
+        and also mix <code class="computeroutput"><span class="identifier">gmp_float</span></code>s of
+        differing precision.
+      </p>
+<p>
+        More information on this type can be found in the <a class="link" href="../tut/floats/gmp_float.html" title="gmp_float">tutorial</a>.
+      </p>
+</div>
+<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
+<td align="left"></td>
+<td align="right"><div class="copyright-footer">Copyright &#169; 2002-2012 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 http://www.boost.org/LICENSE_1_0.txt)
+      </p>
+</div></td>
+</tr></table>
+<hr>
+<div class="spirit-nav">
+<a accesskey="p" href="tom_int_ref.html"><img src="../../images/prev.png" alt="Prev"></a><a accesskey="u" href="../ref.html"><img src="../../images/up.png" alt="Up"></a><a accesskey="h" href="../../index.html"><img src="../../images/home.png" alt="Home"></a><a accesskey="n" href="mpfr_ref.html"><img src="../../images/next.png" alt="Next"></a>
+</div>
+</body>
+</html>

Added: sandbox/big_number/libs/multiprecision/doc/html/boost_multiprecision/ref/mpfr_ref.html
==============================================================================
--- (empty file)
+++ sandbox/big_number/libs/multiprecision/doc/html/boost_multiprecision/ref/mpfr_ref.html	2012-03-30 14:35:38 EDT (Fri, 30 Mar 2012)
@@ -0,0 +1,67 @@
+<html>
+<head>
+<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
+<title>mpfr_float_backend</title>
+<link rel="stylesheet" href="http://www.boost.org/doc/libs/release/doc/src/boostbook.css" type="text/css">
+<meta name="generator" content="DocBook XSL Stylesheets V1.76.1">
+<link rel="home" href="../../index.html" title="Chapter&#160;1.&#160;Boost.Multiprecision">
+<link rel="up" href="../ref.html" title="Reference">
+<link rel="prev" href="mpf_ref.html" title="gmp_float">
+<link rel="next" href="cpp_dec_ref.html" title="cpp_dec_float">
+</head>
+<body bgcolor="white" text="black" link="#0000FF" vlink="#840084" alink="#0000FF">
+<div class="spirit-nav">
+<a accesskey="p" href="mpf_ref.html"><img src="../../images/prev.png" alt="Prev"></a><a accesskey="u" href="../ref.html"><img src="../../images/up.png" alt="Up"></a><a accesskey="h" href="../../index.html"><img src="../../images/home.png" alt="Home"></a><a accesskey="n" href="cpp_dec_ref.html"><img src="../../images/next.png" alt="Next"></a>
+</div>
+<div class="section boost_multiprecision_ref_mpfr_ref">
+<div class="titlepage"><div><div><h3 class="title">
+<a name="boost_multiprecision.ref.mpfr_ref"></a><a class="link" href="mpfr_ref.html" title="mpfr_float_backend">mpfr_float_backend</a>
+</h3></div></div></div>
+<pre class="programlisting"><span class="keyword">namespace</span> <span class="identifier">boost</span><span class="special">{</span> <span class="keyword">namespace</span> <span class="identifier">multiprecision</span><span class="special">{</span>
+
+<span class="keyword">template</span> <span class="special">&lt;</span><span class="keyword">unsigned</span> <span class="identifier">Digits10</span><span class="special">&gt;</span>
+<span class="keyword">class</span> <span class="identifier">mpfr_float_backend</span><span class="special">;</span>
+
+<span class="keyword">typedef</span> <span class="identifier">mp_number</span><span class="special">&lt;</span><span class="identifier">mpfr_float_backend</span><span class="special">&lt;</span><span class="number">50</span><span class="special">&gt;</span> <span class="special">&gt;</span>    <span class="identifier">mpfr_float_50</span><span class="special">;</span>
+<span class="keyword">typedef</span> <span class="identifier">mp_number</span><span class="special">&lt;</span><span class="identifier">mpfr_float_backend</span><span class="special">&lt;</span><span class="number">100</span><span class="special">&gt;</span> <span class="special">&gt;</span>   <span class="identifier">mpfr_float_100</span><span class="special">;</span>
+<span class="keyword">typedef</span> <span class="identifier">mp_number</span><span class="special">&lt;</span><span class="identifier">mpfr_float_backend</span><span class="special">&lt;</span><span class="number">500</span><span class="special">&gt;</span> <span class="special">&gt;</span>   <span class="identifier">mpfr_float_500</span><span class="special">;</span>
+<span class="keyword">typedef</span> <span class="identifier">mp_number</span><span class="special">&lt;</span><span class="identifier">mpfr_float_backend</span><span class="special">&lt;</span><span class="number">1000</span><span class="special">&gt;</span> <span class="special">&gt;</span>  <span class="identifier">mpfr_float_1000</span><span class="special">;</span>
+<span class="keyword">typedef</span> <span class="identifier">mp_number</span><span class="special">&lt;</span><span class="identifier">mpfr_float_backend</span><span class="special">&lt;</span><span class="number">0</span><span class="special">&gt;</span> <span class="special">&gt;</span>     <span class="identifier">mpfr_float</span><span class="special">;</span>
+
+<span class="special">}}</span> <span class="comment">// namespaces</span>
+</pre>
+<p>
+        Class template <code class="computeroutput"><span class="identifier">mpfr_float_backend</span></code>
+        fulfills all of the requirements for a <a class="link" href="backendconc.html" title="Backend Requirements">Backend</a>
+        type. It's members and non-member functions are deliberately not documented:
+        these are considered implementation details that are subject to change.
+      </p>
+<p>
+        The class takes a single template parameter - <code class="computeroutput"><span class="identifier">Digits10</span></code>
+        - which is the number of decimal digits precision the type should support.
+        When this parameter is zero, then the precision can be set at runtime via
+        <code class="computeroutput"><span class="identifier">mp_number</span><span class="special">::</span><span class="identifier">default_precision</span></code> and <code class="computeroutput"><span class="identifier">mp_number</span><span class="special">::</span><span class="identifier">precision</span></code>.
+        Note that this type does not in any way change the GMP or MPFR library's
+        global state (for example it does not change the default precision of the
+        mpfr_t data type), therefore you can safely mix this type with existing code
+        that uses GMP or MPFR, and also mix <code class="computeroutput"><span class="identifier">mpfr_float_backend</span></code>s
+        of differing precision.
+      </p>
+<p>
+        More information on this type can be found in the <a class="link" href="../tut/floats/mpfr_float.html" title="mpfr_float">tutorial</a>.
+      </p>
+</div>
+<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
+<td align="left"></td>
+<td align="right"><div class="copyright-footer">Copyright &#169; 2002-2012 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 http://www.boost.org/LICENSE_1_0.txt)
+      </p>
+</div></td>
+</tr></table>
+<hr>
+<div class="spirit-nav">
+<a accesskey="p" href="mpf_ref.html"><img src="../../images/prev.png" alt="Prev"></a><a accesskey="u" href="../ref.html"><img src="../../images/up.png" alt="Up"></a><a accesskey="h" href="../../index.html"><img src="../../images/home.png" alt="Home"></a><a accesskey="n" href="cpp_dec_ref.html"><img src="../../images/next.png" alt="Next"></a>
+</div>
+</body>
+</html>

Added: sandbox/big_number/libs/multiprecision/doc/html/boost_multiprecision/ref/tom_int_ref.html
==============================================================================
--- (empty file)
+++ sandbox/big_number/libs/multiprecision/doc/html/boost_multiprecision/ref/tom_int_ref.html	2012-03-30 14:35:38 EDT (Fri, 30 Mar 2012)
@@ -0,0 +1,51 @@
+<html>
+<head>
+<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
+<title>tom_int</title>
+<link rel="stylesheet" href="http://www.boost.org/doc/libs/release/doc/src/boostbook.css" type="text/css">
+<meta name="generator" content="DocBook XSL Stylesheets V1.76.1">
+<link rel="home" href="../../index.html" title="Chapter&#160;1.&#160;Boost.Multiprecision">
+<link rel="up" href="../ref.html" title="Reference">
+<link rel="prev" href="gmp_int_ref.html" title="gmp_int">
+<link rel="next" href="mpf_ref.html" title="gmp_float">
+</head>
+<body bgcolor="white" text="black" link="#0000FF" vlink="#840084" alink="#0000FF">
+<div class="spirit-nav">
+<a accesskey="p" href="gmp_int_ref.html"><img src="../../images/prev.png" alt="Prev"></a><a accesskey="u" href="../ref.html"><img src="../../images/up.png" alt="Up"></a><a accesskey="h" href="../../index.html"><img src="../../images/home.png" alt="Home"></a><a accesskey="n" href="mpf_ref.html"><img src="../../images/next.png" alt="Next"></a>
+</div>
+<div class="section boost_multiprecision_ref_tom_int_ref">
+<div class="titlepage"><div><div><h3 class="title">
+<a name="boost_multiprecision.ref.tom_int_ref"></a><a class="link" href="tom_int_ref.html" title="tom_int">tom_int</a>
+</h3></div></div></div>
+<pre class="programlisting"><span class="keyword">namespace</span> <span class="identifier">boost</span><span class="special">{</span> <span class="keyword">namespace</span> <span class="identifier">multiprecision</span><span class="special">{</span>
+
+<span class="keyword">class</span> <span class="identifier">tommath_int</span><span class="special">;</span>
+
+<span class="keyword">typedef</span> <span class="identifier">mp_number</span><span class="special">&lt;</span><span class="identifier">tommath_int</span> <span class="special">&gt;</span>         <span class="identifier">tom_int</span><span class="special">;</span>
+
+<span class="special">}}</span> <span class="comment">// namespaces</span>
+</pre>
+<p>
+        Class template <code class="computeroutput"><span class="identifier">tommath_int</span></code>
+        fulfills all of the requirements for a <a class="link" href="backendconc.html" title="Backend Requirements">Backend</a>
+        type. It's members and non-member functions are deliberately not documented:
+        these are considered implementation details that are subject to change.
+      </p>
+<p>
+        More information on this type can be found in the <a class="link" href="../tut/ints/tom_int.html" title="tom_int">tutorial</a>.
+      </p>
+</div>
+<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
+<td align="left"></td>
+<td align="right"><div class="copyright-footer">Copyright &#169; 2002-2012 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 http://www.boost.org/LICENSE_1_0.txt)
+      </p>
+</div></td>
+</tr></table>
+<hr>
+<div class="spirit-nav">
+<a accesskey="p" href="gmp_int_ref.html"><img src="../../images/prev.png" alt="Prev"></a><a accesskey="u" href="../ref.html"><img src="../../images/up.png" alt="Up"></a><a accesskey="h" href="../../index.html"><img src="../../images/home.png" alt="Home"></a><a accesskey="n" href="mpf_ref.html"><img src="../../images/next.png" alt="Next"></a>
+</div>
+</body>
+</html>

Added: sandbox/big_number/libs/multiprecision/doc/html/boost_multiprecision/tut.html
==============================================================================
--- (empty file)
+++ sandbox/big_number/libs/multiprecision/doc/html/boost_multiprecision/tut.html	2012-03-30 14:35:38 EDT (Fri, 30 Mar 2012)
@@ -0,0 +1,64 @@
+<html>
+<head>
+<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
+<title>Tutorial</title>
+<link rel="stylesheet" href="http://www.boost.org/doc/libs/release/doc/src/boostbook.css" type="text/css">
+<meta name="generator" content="DocBook XSL Stylesheets V1.76.1">
+<link rel="home" href="../index.html" title="Chapter&#160;1.&#160;Boost.Multiprecision">
+<link rel="up" href="../index.html" title="Chapter&#160;1.&#160;Boost.Multiprecision">
+<link rel="prev" href="intro.html" title="Introduction">
+<link rel="next" href="tut/ints.html" title="Integer Types">
+</head>
+<body bgcolor="white" text="black" link="#0000FF" vlink="#840084" alink="#0000FF">
+<div class="spirit-nav">
+<a accesskey="p" href="intro.html"><img src="../images/prev.png" alt="Prev"></a><a accesskey="u" href="../index.html"><img src="../images/up.png" alt="Up"></a><a accesskey="h" href="../index.html"><img src="../images/home.png" alt="Home"></a><a accesskey="n" href="tut/ints.html"><img src="../images/next.png" alt="Next"></a>
+</div>
+<div class="section boost_multiprecision_tut">
+<div class="titlepage"><div><div><h2 class="title" style="clear: both">
+<a name="boost_multiprecision.tut"></a><a class="link" href="tut.html" title="Tutorial">Tutorial</a>
+</h2></div></div></div>
+<div class="toc"><dl>
+<dt><span class="section">Integer Types</span></dt>
+<dd><dl>
+<dt><span class="section">cpp_int</span></dt>
+<dt><span class="section">gmp_int</span></dt>
+<dt><span class="section">tom_int</span></dt>
+</dl></dd>
+<dt><span class="section">Floating Point Numbers</span></dt>
+<dd><dl>
+<dt><span class="section">gmp_float</span></dt>
+<dt><span class="section">mpfr_float</span></dt>
+<dt><span class="section">cpp_dec_float</span></dt>
+</dl></dd>
+<dt><span class="section">Rational Number Types</span></dt>
+<dd><dl>
+<dt><span class="section">gmp_rational</span></dt>
+<dt><span class="section">cpp_rational</span></dt>
+<dt><span class="section">tommath_rational</span></dt>
+<dt><span class="section">Use With Boost.Rational</span></dt>
+<dt><span class="section">rational_adapter</span></dt>
+</dl></dd>
+<dt><span class="section"><a href="tut/conversions.html">Constructing and
+      Interconverting Between Number Types</a></span></dt>
+<dt><span class="section">Generating Random Numbers</span></dt>
+<dt><span class="section">Primality Testing</span></dt>
+</dl></div>
+<p>
+      In order to use this library you need to make two choices: what kind of number
+      do I want, and which back-end do I want to perform the actual arithmetic?
+    </p>
+</div>
+<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
+<td align="left"></td>
+<td align="right"><div class="copyright-footer">Copyright &#169; 2002-2012 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 http://www.boost.org/LICENSE_1_0.txt)
+      </p>
+</div></td>
+</tr></table>
+<hr>
+<div class="spirit-nav">
+<a accesskey="p" href="intro.html"><img src="../images/prev.png" alt="Prev"></a><a accesskey="u" href="../index.html"><img src="../images/up.png" alt="Up"></a><a accesskey="h" href="../index.html"><img src="../images/home.png" alt="Home"></a><a accesskey="n" href="tut/ints.html"><img src="../images/next.png" alt="Next"></a>
+</div>
+</body>
+</html>

Added: sandbox/big_number/libs/multiprecision/doc/html/boost_multiprecision/tut/conversions.html
==============================================================================
--- (empty file)
+++ sandbox/big_number/libs/multiprecision/doc/html/boost_multiprecision/tut/conversions.html	2012-03-30 14:35:38 EDT (Fri, 30 Mar 2012)
@@ -0,0 +1,106 @@
+<html>
+<head>
+<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
+<title>Constructing and Interconverting Between Number Types</title>
+<link rel="stylesheet" href="http://www.boost.org/doc/libs/release/doc/src/boostbook.css" type="text/css">
+<meta name="generator" content="DocBook XSL Stylesheets V1.76.1">
+<link rel="home" href="../../index.html" title="Chapter&#160;1.&#160;Boost.Multiprecision">
+<link rel="up" href="../tut.html" title="Tutorial">
+<link rel="prev" href="rational/rational_adapter.html" title="rational_adapter">
+<link rel="next" href="random.html" title="Generating Random Numbers">
+</head>
+<body bgcolor="white" text="black" link="#0000FF" vlink="#840084" alink="#0000FF">
+<div class="spirit-nav">
+<a accesskey="p" href="rational/rational_adapter.html"><img src="../../images/prev.png" alt="Prev"></a><a accesskey="u" href="../tut.html"><img src="../../images/up.png" alt="Up"></a><a accesskey="h" href="../../index.html"><img src="../../images/home.png" alt="Home"></a><a accesskey="n" href="random.html"><img src="../../images/next.png" alt="Next"></a>
+</div>
+<div class="section boost_multiprecision_tut_conversions">
+<div class="titlepage"><div><div><h3 class="title">
+<a name="boost_multiprecision.tut.conversions"></a><a class="link" href="conversions.html" title="Constructing and Interconverting Between Number Types">Constructing and
+      Interconverting Between Number Types</a>
+</h3></div></div></div>
+<p>
+        All of the number types that are based on <code class="computeroutput"><span class="identifier">mp_number</span></code>
+        have certain conversion rules in common. In particular:
+      </p>
+<div class="itemizedlist"><ul class="itemizedlist" type="disc"><li class="listitem">
+            Any number type can be constructed (or assigned) from any builtin arithmetic
+            type:
+          </li></ul></div>
+<pre class="programlisting"><span class="identifier">cpp_dec_float_50</span> <span class="identifier">df</span><span class="special">(</span><span class="number">0.5</span><span class="special">);</span> <span class="comment">// OK construction from double</span>
+<span class="identifier">cpp_int</span>          <span class="identifier">i</span><span class="special">(</span><span class="number">450</span><span class="special">);</span>  <span class="comment">// OK constructs from signed int</span>
+</pre>
+<div class="itemizedlist"><ul class="itemizedlist" type="disc"><li class="listitem">
+            Any number type can be constructed (or assigned) from a <code class="computeroutput"><span class="keyword">const</span> <span class="keyword">char</span><span class="special">*</span></code> or a <code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">string</span></code>:
+          </li></ul></div>
+<pre class="programlisting"><span class="comment">// pi to 50 places from a string:</span>
+<span class="identifier">cpp_dec_float_50</span> <span class="identifier">df</span> <span class="special">=</span> <span class="string">"3.14159265358979323846264338327950288419716939937510"</span><span class="special">;</span>
+<span class="comment">// Integer type will automatically detect "0x" and "0" prefixes and parse the string accordingly:</span>
+<span class="identifier">cpp_int</span>          <span class="identifier">i</span>  <span class="special">=</span> <span class="string">"0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000"</span><span class="special">;</span>
+<span class="comment">// Invalid input always results in a std::runtime_error being thrown:</span>
+<span class="identifier">i</span> <span class="special">=</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">string</span><span class="special">(</span><span class="string">"3.14"</span><span class="special">);</span>
+</pre>
+<div class="itemizedlist"><ul class="itemizedlist" type="disc"><li class="listitem">
+            Any number type will interoperate with the builtin type in arithmetic
+            expressions:
+          </li></ul></div>
+<pre class="programlisting"><span class="comment">// pi to 50 places from a string:</span>
+<span class="identifier">cpp_dec_float_50</span> <span class="identifier">df</span> <span class="special">=</span> <span class="string">"3.14159265358979323846264338327950288419716939937510"</span><span class="special">;</span>
+<span class="comment">// Multiply by 2 - using an integer literal here is usually more efficient</span>
+<span class="comment">// than constructing a temporary:</span>
+<span class="identifier">df</span> <span class="special">*=</span> <span class="number">2</span><span class="special">;</span>
+
+<span class="comment">// There is a need to be careful with integer types though:</span>
+<span class="identifier">cpp_int</span> <span class="identifier">i</span> <span class="special">=</span> <span class="number">2</span><span class="special">;</span>
+<span class="comment">// Ooops, this really just multiplies by 3:</span>
+<span class="identifier">i</span> <span class="special">*=</span> <span class="number">3.14</span><span class="special">;</span>
+</pre>
+<div class="itemizedlist"><ul class="itemizedlist" type="disc"><li class="listitem">
+            Any number type can be streamed to and from the C++ iostreams:
+          </li></ul></div>
+<pre class="programlisting"><span class="identifier">cpp_dec_float_50</span> <span class="identifier">df</span> <span class="special">=</span> <span class="string">"3.14159265358979323846264338327950288419716939937510"</span><span class="special">;</span>
+<span class="comment">// Now print at full precision:</span>
+<span class="identifier">std</span><span class="special">::</span><span class="identifier">cout</span> <span class="special">&lt;&lt;</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">setprecision</span><span class="special">(</span><span class="identifier">std</span><span class="special">::</span><span class="identifier">numeric_limits</span><span class="special">&lt;</span><span class="identifier">cpp_dec_float_50</span><span class="special">&gt;::</span><span class="identifier">max_digits10</span><span class="special">)</span>
+   <span class="special">&lt;&lt;</span> <span class="identifier">df</span> <span class="special">&lt;&lt;</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">endl</span>
+<span class="identifier">cpp_int</span> <span class="identifier">i</span> <span class="special">=</span> <span class="number">1</span><span class="special">;</span>
+<span class="identifier">i</span> <span class="special">&lt;&lt;=</span> <span class="number">256</span><span class="special">;</span>
+<span class="comment">// Now print in hex format with prefix:</span>
+<span class="identifier">std</span><span class="special">::</span><span class="identifier">cout</span> <span class="special">&lt;&lt;</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">hex</span> <span class="special">&lt;&lt;</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">showbase</span> <span class="special">&lt;&lt;</span> <span class="identifier">i</span> <span class="special">&lt;&lt;</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">endl</span><span class="special">;</span>
+</pre>
+<div class="itemizedlist"><ul class="itemizedlist" type="disc"><li class="listitem">
+            Some intercomnversions between number types are completely generic, and
+            are always available:
+          </li></ul></div>
+<pre class="programlisting"><span class="identifier">cpp_int</span> <span class="identifier">cppi</span><span class="special">(</span><span class="number">2</span><span class="special">);</span>
+<span class="comment">// We can always convert between numbers of the same category - </span>
+<span class="comment">// int to int, rational to rational, or float to float, so this is OK:</span>
+<span class="identifier">mpz_int</span> <span class="identifier">z</span> <span class="special">=</span> <span class="identifier">cppi</span><span class="special">;</span>
+<span class="comment">// We can always promote from int to rational, int to float, or rational to float:</span>
+<span class="identifier">cpp_rational</span>     <span class="identifier">cppr</span> <span class="special">=</span> <span class="identifier">cppi</span><span class="special">;</span>  <span class="comment">// OK, int to rational</span>
+<span class="identifier">cpp_dec_float_50</span> <span class="identifier">df</span> <span class="special">=</span>   <span class="identifier">cppi</span><span class="special">;</span>  <span class="comment">// OK, int to float</span>
+<span class="identifier">df</span>                  <span class="special">=</span>   <span class="identifier">cppr</span><span class="special">;</span>  <span class="comment">// OK, rational to float</span>
+<span class="comment">// However narrowing conversions always fail:</span>
+<span class="identifier">cppi</span>                <span class="special">=</span>   <span class="identifier">df</span><span class="special">;</span>    <span class="comment">// Compiler error, conversion not allowed</span>
+</pre>
+<div class="itemizedlist"><ul class="itemizedlist" type="disc"><li class="listitem">
+            Other interconversions may be allowed as special cases, whenever the
+            backend allows it:
+          </li></ul></div>
+<pre class="programlisting"><span class="identifier">mpf_t</span>     <span class="identifier">m</span><span class="special">;</span>           <span class="comment">// Native GMP type.</span>
+<span class="identifier">mpf_init_set_ui</span><span class="special">(</span><span class="identifier">m</span><span class="special">,</span> <span class="number">0</span><span class="special">);</span> <span class="comment">// set to a value;</span>
+<span class="identifier">mpf_float</span> <span class="identifier">i</span><span class="special">(</span><span class="identifier">m</span><span class="special">);</span>        <span class="comment">// copies the value of the native type.</span>
+</pre>
+</div>
+<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
+<td align="left"></td>
+<td align="right"><div class="copyright-footer">Copyright &#169; 2002-2012 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 http://www.boost.org/LICENSE_1_0.txt)
+      </p>
+</div></td>
+</tr></table>
+<hr>
+<div class="spirit-nav">
+<a accesskey="p" href="rational/rational_adapter.html"><img src="../../images/prev.png" alt="Prev"></a><a accesskey="u" href="../tut.html"><img src="../../images/up.png" alt="Up"></a><a accesskey="h" href="../../index.html"><img src="../../images/home.png" alt="Home"></a><a accesskey="n" href="random.html"><img src="../../images/next.png" alt="Next"></a>
+</div>
+</body>
+</html>

Added: sandbox/big_number/libs/multiprecision/doc/html/boost_multiprecision/tut/floats.html
==============================================================================
--- (empty file)
+++ sandbox/big_number/libs/multiprecision/doc/html/boost_multiprecision/tut/floats.html	2012-03-30 14:35:38 EDT (Fri, 30 Mar 2012)
@@ -0,0 +1,186 @@
+<html>
+<head>
+<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
+<title>Floating Point Numbers</title>
+<link rel="stylesheet" href="http://www.boost.org/doc/libs/release/doc/src/boostbook.css" type="text/css">
+<meta name="generator" content="DocBook XSL Stylesheets V1.76.1">
+<link rel="home" href="../../index.html" title="Chapter&#160;1.&#160;Boost.Multiprecision">
+<link rel="up" href="../tut.html" title="Tutorial">
+<link rel="prev" href="ints/tom_int.html" title="tom_int">
+<link rel="next" href="floats/gmp_float.html" title="gmp_float">
+</head>
+<body bgcolor="white" text="black" link="#0000FF" vlink="#840084" alink="#0000FF">
+<div class="spirit-nav">
+<a accesskey="p" href="ints/tom_int.html"><img src="../../images/prev.png" alt="Prev"></a><a accesskey="u" href="../tut.html"><img src="../../images/up.png" alt="Up"></a><a accesskey="h" href="../../index.html"><img src="../../images/home.png" alt="Home"></a><a accesskey="n" href="floats/gmp_float.html"><img src="../../images/next.png" alt="Next"></a>
+</div>
+<div class="section boost_multiprecision_tut_floats">
+<div class="titlepage"><div><div><h3 class="title">
+<a name="boost_multiprecision.tut.floats"></a><a class="link" href="floats.html" title="Floating Point Numbers">Floating Point Numbers</a>
+</h3></div></div></div>
+<div class="toc"><dl>
+<dt><span class="section">gmp_float</span></dt>
+<dt><span class="section">mpfr_float</span></dt>
+<dt><span class="section">cpp_dec_float</span></dt>
+</dl></div>
+<p>
+        The following back-ends provide floating point arithmetic:
+      </p>
+<div class="informaltable"><table class="table">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+                <p>
+                  Backend Type
+                </p>
+              </th>
+<th>
+                <p>
+                  Header
+                </p>
+              </th>
+<th>
+                <p>
+                  Radix
+                </p>
+              </th>
+<th>
+                <p>
+                  Dependencies
+                </p>
+              </th>
+<th>
+                <p>
+                  Pros
+                </p>
+              </th>
+<th>
+                <p>
+                  Cons
+                </p>
+              </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="identifier">mpf_float</span><span class="special">&lt;</span><span class="identifier">N</span><span class="special">&gt;</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  boost/multiprecision/gmp.hpp
+                </p>
+              </td>
+<td>
+                <p>
+                  2
+                </p>
+              </td>
+<td>
+                <p>
+                  GMP
+                </p>
+              </td>
+<td>
+                <p>
+                  Very fast and efficient back-end.
+                </p>
+              </td>
+<td>
+                <p>
+                  Dependency on GNU licensed GMP
+                  library.
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="identifier">mpfr_float</span><span class="special">&lt;</span><span class="identifier">N</span><span class="special">&gt;</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  boost/multiprecision/mpfr.hpp
+                </p>
+              </td>
+<td>
+                <p>
+                  2
+                </p>
+              </td>
+<td>
+                <p>
+                  GMP and MPFR
+                </p>
+              </td>
+<td>
+                <p>
+                  Very fast and efficient back-end, with its own standard library
+                  implementation.
+                </p>
+              </td>
+<td>
+                <p>
+                  Dependency on GNU licensed GMP
+                  and MPFR libraries.
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="identifier">cpp_dec_float</span><span class="special">&lt;</span><span class="identifier">N</span><span class="special">&gt;</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  boost/multiprecision/cpp_dec_float.hpp
+                </p>
+              </td>
+<td>
+                <p>
+                  10
+                </p>
+              </td>
+<td>
+                <p>
+                  None
+                </p>
+              </td>
+<td>
+                <p>
+                  Header only, all C++ implementation. Boost licence.
+                </p>
+              </td>
+<td>
+                <p>
+                  Approximately 2x slower than the MPFR
+                  or GMP libraries.
+                </p>
+              </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
+<td align="left"></td>
+<td align="right"><div class="copyright-footer">Copyright &#169; 2002-2012 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 http://www.boost.org/LICENSE_1_0.txt)
+      </p>
+</div></td>
+</tr></table>
+<hr>
+<div class="spirit-nav">
+<a accesskey="p" href="ints/tom_int.html"><img src="../../images/prev.png" alt="Prev"></a><a accesskey="u" href="../tut.html"><img src="../../images/up.png" alt="Up"></a><a accesskey="h" href="../../index.html"><img src="../../images/home.png" alt="Home"></a><a accesskey="n" href="floats/gmp_float.html"><img src="../../images/next.png" alt="Next"></a>
+</div>
+</body>
+</html>

Added: sandbox/big_number/libs/multiprecision/doc/html/boost_multiprecision/tut/floats/cpp_dec_float.html
==============================================================================
--- (empty file)
+++ sandbox/big_number/libs/multiprecision/doc/html/boost_multiprecision/tut/floats/cpp_dec_float.html	2012-03-30 14:35:38 EDT (Fri, 30 Mar 2012)
@@ -0,0 +1,117 @@
+<html>
+<head>
+<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
+<title>cpp_dec_float</title>
+<link rel="stylesheet" href="http://www.boost.org/doc/libs/release/doc/src/boostbook.css" type="text/css">
+<meta name="generator" content="DocBook XSL Stylesheets V1.76.1">
+<link rel="home" href="../../../index.html" title="Chapter&#160;1.&#160;Boost.Multiprecision">
+<link rel="up" href="../floats.html" title="Floating Point Numbers">
+<link rel="prev" href="mpfr_float.html" title="mpfr_float">
+<link rel="next" href="../rational.html" title="Rational Number Types">
+</head>
+<body bgcolor="white" text="black" link="#0000FF" vlink="#840084" alink="#0000FF">
+<div class="spirit-nav">
+<a accesskey="p" href="mpfr_float.html"><img src="../../../images/prev.png" alt="Prev"></a><a accesskey="u" href="../floats.html"><img src="../../../images/up.png" alt="Up"></a><a accesskey="h" href="../../../index.html"><img src="../../../images/home.png" alt="Home"></a><a accesskey="n" href="../rational.html"><img src="../../../images/next.png" alt="Next"></a>
+</div>
+<div class="section boost_multiprecision_tut_floats_cpp_dec_float">
+<div class="titlepage"><div><div><h4 class="title">
+<a name="boost_multiprecision.tut.floats.cpp_dec_float"></a><a class="link" href="cpp_dec_float.html" title="cpp_dec_float">cpp_dec_float</a>
+</h4></div></div></div>
+<p>
+          <code class="computeroutput"><span class="preprocessor">#include</span> <span class="special">&lt;</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">multiprecision</span><span class="special">/</span><span class="identifier">cpp_dec_float</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">&gt;</span></code>
+        </p>
+<pre class="programlisting"><span class="keyword">namespace</span> <span class="identifier">boost</span><span class="special">{</span> <span class="keyword">namespace</span> <span class="identifier">multiprecision</span><span class="special">{</span>
+
+<span class="keyword">template</span> <span class="special">&lt;</span><span class="keyword">unsigned</span> <span class="identifier">Digits10</span><span class="special">&gt;</span>
+<span class="keyword">class</span> <span class="identifier">cpp_dec_float</span><span class="special">;</span>
+
+<span class="keyword">typedef</span> <span class="identifier">mp_number</span><span class="special">&lt;</span><span class="identifier">cpp_dec_float</span><span class="special">&lt;</span><span class="number">50</span><span class="special">&gt;</span> <span class="special">&gt;</span> <span class="identifier">cpp_dec_float_50</span><span class="special">;</span>
+<span class="keyword">typedef</span> <span class="identifier">mp_number</span><span class="special">&lt;</span><span class="identifier">cpp_dec_float</span><span class="special">&lt;</span><span class="number">100</span><span class="special">&gt;</span> <span class="special">&gt;</span> <span class="identifier">cpp_dec_float_100</span><span class="special">;</span>
+
+<span class="special">}}</span> <span class="comment">// namespaces</span>
+</pre>
+<p>
+          The <code class="computeroutput"><span class="identifier">cpp_dec_float</span></code> back-end
+          is used in conjunction with <code class="computeroutput"><span class="identifier">mp_number</span></code>:
+          It acts as an entirely C++ (header only and dependency free) real-number
+          type that is a drop-in replacement for the native C++ floating-point types,
+          but with much greater precision.
+        </p>
+<p>
+          Type <code class="computeroutput"><span class="identifier">cpp_dec_float</span></code> can
+          be used at fixed precision by specifying a non-zero <code class="computeroutput"><span class="identifier">Digits10</span></code>
+          template parameter. The typedefs <code class="computeroutput"><span class="identifier">cpp_dec_float_50</span></code>
+          and <code class="computeroutput"><span class="identifier">cpp_dec_float_100</span></code> provide
+          arithmetic types at 50 and 100 decimal digits precision respectively.
+        </p>
+<p>
+          There is full standard library and <code class="computeroutput"><span class="identifier">numeric_limits</span></code>
+          support available for this type.
+        </p>
+<p>
+          Things you should know when using this type:
+        </p>
+<div class="itemizedlist"><ul class="itemizedlist" type="disc">
+<li class="listitem">
+              Default constructed <code class="computeroutput"><span class="identifier">cpp_dec_float</span></code>s
+              have a value of zero.
+            </li>
+<li class="listitem">
+              The radix of this type is 10. As a result it can behave subtly differently
+              from base-2 types.
+            </li>
+<li class="listitem">
+              It is not possible to round-trip this type to and from a string and
+              get back to exactly the same value (this is a result of the type having
+              some hidden internal guard digits).
+            </li>
+<li class="listitem">
+              The type has a number of internal guard digits over and above those
+              specified in the template argument. Normally these should not be visible
+              to the user.
+            </li>
+</ul></div>
+<h6>
+<a name="boost_multiprecision.tut.floats.cpp_dec_float.h0"></a>
+          <span><a name="boost_multiprecision.tut.floats.cpp_dec_float.cpp_dec_float_example_"></a></span><a class="link" href="cpp_dec_float.html#boost_multiprecision.tut.floats.cpp_dec_float.cpp_dec_float_example_">cpp_dec_float
+          example:</a>
+        </h6>
+<p>
+</p>
+<pre class="programlisting"><span class="preprocessor">#include</span> <span class="special">&lt;</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">multiprecision</span><span class="special">/</span><span class="identifier">cpp_dec_float</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">&gt;</span>
+
+<span class="keyword">using</span> <span class="keyword">namespace</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">multiprecision</span><span class="special">;</span>
+
+<span class="comment">// Operations at fixed precision and full numeric_limits support:</span>
+<span class="identifier">cpp_dec_float_100</span> <span class="identifier">b</span> <span class="special">=</span> <span class="number">2</span><span class="special">;</span>
+<span class="identifier">std</span><span class="special">::</span><span class="identifier">cout</span> <span class="special">&lt;&lt;</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">numeric_limits</span><span class="special">&lt;</span><span class="identifier">cpp_dec_float_100</span><span class="special">&gt;::</span><span class="identifier">digits</span> <span class="special">&lt;&lt;</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">endl</span><span class="special">;</span>
+<span class="comment">// Note that digits10 is the same as digits, since we're base 10! :</span>
+<span class="identifier">std</span><span class="special">::</span><span class="identifier">cout</span> <span class="special">&lt;&lt;</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">numeric_limits</span><span class="special">&lt;</span><span class="identifier">cpp_dec_float_100</span><span class="special">&gt;::</span><span class="identifier">digits10</span> <span class="special">&lt;&lt;</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">endl</span><span class="special">;</span>
+<span class="comment">// We can use any C++ std lib function, lets print all the digits as well:</span>
+<span class="identifier">std</span><span class="special">::</span><span class="identifier">cout</span> <span class="special">&lt;&lt;</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">setprecision</span><span class="special">(</span><span class="identifier">std</span><span class="special">::</span><span class="identifier">numeric_limits</span><span class="special">&lt;</span><span class="identifier">cpp_dec_float_100</span><span class="special">&gt;::</span><span class="identifier">max_digits10</span><span class="special">)</span>
+   <span class="special">&lt;&lt;</span> <span class="identifier">log</span><span class="special">(</span><span class="identifier">b</span><span class="special">)</span> <span class="special">&lt;&lt;</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">endl</span><span class="special">;</span> <span class="comment">// print log(2)</span>
+<span class="comment">// We can also use any function from Boost.Math:</span>
+<span class="identifier">std</span><span class="special">::</span><span class="identifier">cout</span> <span class="special">&lt;&lt;</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">math</span><span class="special">::</span><span class="identifier">tgamma</span><span class="special">(</span><span class="identifier">b</span><span class="special">)</span> <span class="special">&lt;&lt;</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">endl</span><span class="special">;</span>
+<span class="comment">// These even work when the argument is an expression template:</span>
+<span class="identifier">std</span><span class="special">::</span><span class="identifier">cout</span> <span class="special">&lt;&lt;</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">math</span><span class="special">::</span><span class="identifier">tgamma</span><span class="special">(</span><span class="identifier">b</span> <span class="special">*</span> <span class="identifier">b</span><span class="special">)</span> <span class="special">&lt;&lt;</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">endl</span><span class="special">;</span>
+<span class="comment">// And since we have an extended exponent range we can generate some really large </span>
+<span class="comment">// numbers here (4.0238726007709377354370243e+2564):</span>
+<span class="identifier">std</span><span class="special">::</span><span class="identifier">cout</span> <span class="special">&lt;&lt;</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">math</span><span class="special">::</span><span class="identifier">tgamma</span><span class="special">(</span><span class="identifier">cpp_dec_float_100</span><span class="special">(</span><span class="number">1000</span><span class="special">))</span> <span class="special">&lt;&lt;</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">endl</span><span class="special">;</span>
+</pre>
+<p>
+        </p>
+</div>
+<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
+<td align="left"></td>
+<td align="right"><div class="copyright-footer">Copyright &#169; 2002-2012 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 http://www.boost.org/LICENSE_1_0.txt)
+      </p>
+</div></td>
+</tr></table>
+<hr>
+<div class="spirit-nav">
+<a accesskey="p" href="mpfr_float.html"><img src="../../../images/prev.png" alt="Prev"></a><a accesskey="u" href="../floats.html"><img src="../../../images/up.png" alt="Up"></a><a accesskey="h" href="../../../index.html"><img src="../../../images/home.png" alt="Home"></a><a accesskey="n" href="../rational.html"><img src="../../../images/next.png" alt="Next"></a>
+</div>
+</body>
+</html>

Added: sandbox/big_number/libs/multiprecision/doc/html/boost_multiprecision/tut/floats/gmp_float.html
==============================================================================
--- (empty file)
+++ sandbox/big_number/libs/multiprecision/doc/html/boost_multiprecision/tut/floats/gmp_float.html	2012-03-30 14:35:38 EDT (Fri, 30 Mar 2012)
@@ -0,0 +1,169 @@
+<html>
+<head>
+<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
+<title>gmp_float</title>
+<link rel="stylesheet" href="http://www.boost.org/doc/libs/release/doc/src/boostbook.css" type="text/css">
+<meta name="generator" content="DocBook XSL Stylesheets V1.76.1">
+<link rel="home" href="../../../index.html" title="Chapter&#160;1.&#160;Boost.Multiprecision">
+<link rel="up" href="../floats.html" title="Floating Point Numbers">
+<link rel="prev" href="../floats.html" title="Floating Point Numbers">
+<link rel="next" href="mpfr_float.html" title="mpfr_float">
+</head>
+<body bgcolor="white" text="black" link="#0000FF" vlink="#840084" alink="#0000FF">
+<div class="spirit-nav">
+<a accesskey="p" href="../floats.html"><img src="../../../images/prev.png" alt="Prev"></a><a accesskey="u" href="../floats.html"><img src="../../../images/up.png" alt="Up"></a><a accesskey="h" href="../../../index.html"><img src="../../../images/home.png" alt="Home"></a><a accesskey="n" href="mpfr_float.html"><img src="../../../images/next.png" alt="Next"></a>
+</div>
+<div class="section boost_multiprecision_tut_floats_gmp_float">
+<div class="titlepage"><div><div><h4 class="title">
+<a name="boost_multiprecision.tut.floats.gmp_float"></a><a class="link" href="gmp_float.html" title="gmp_float">gmp_float</a>
+</h4></div></div></div>
+<p>
+          <code class="computeroutput"><span class="preprocessor">#include</span> <span class="special">&lt;</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">multiprecision</span><span class="special">/</span><span class="identifier">gmp</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">&gt;</span></code>
+        </p>
+<pre class="programlisting"><span class="keyword">namespace</span> <span class="identifier">boost</span><span class="special">{</span> <span class="keyword">namespace</span> <span class="identifier">multiprecision</span><span class="special">{</span>
+
+<span class="keyword">template</span> <span class="special">&lt;</span><span class="keyword">unsigned</span> <span class="identifier">Digits10</span><span class="special">&gt;</span>
+<span class="keyword">class</span> <span class="identifier">gmp_float</span><span class="special">;</span>
+
+<span class="keyword">typedef</span> <span class="identifier">mp_number</span><span class="special">&lt;</span><span class="identifier">gmp_float</span><span class="special">&lt;</span><span class="number">50</span><span class="special">&gt;</span> <span class="special">&gt;</span>    <span class="identifier">mpf_float_50</span><span class="special">;</span>
+<span class="keyword">typedef</span> <span class="identifier">mp_number</span><span class="special">&lt;</span><span class="identifier">gmp_float</span><span class="special">&lt;</span><span class="number">100</span><span class="special">&gt;</span> <span class="special">&gt;</span>   <span class="identifier">mpf_float_100</span><span class="special">;</span>
+<span class="keyword">typedef</span> <span class="identifier">mp_number</span><span class="special">&lt;</span><span class="identifier">gmp_float</span><span class="special">&lt;</span><span class="number">500</span><span class="special">&gt;</span> <span class="special">&gt;</span>   <span class="identifier">mpf_float_500</span><span class="special">;</span>
+<span class="keyword">typedef</span> <span class="identifier">mp_number</span><span class="special">&lt;</span><span class="identifier">gmp_float</span><span class="special">&lt;</span><span class="number">1000</span><span class="special">&gt;</span> <span class="special">&gt;</span>  <span class="identifier">mpf_float_1000</span><span class="special">;</span>
+<span class="keyword">typedef</span> <span class="identifier">mp_number</span><span class="special">&lt;</span><span class="identifier">gmp_float</span><span class="special">&lt;</span><span class="number">0</span><span class="special">&gt;</span> <span class="special">&gt;</span>     <span class="identifier">mpf_float</span><span class="special">;</span>
+
+<span class="special">}}</span> <span class="comment">// namespaces</span>
+</pre>
+<p>
+          The <code class="computeroutput"><span class="identifier">gmp_float</span></code> back-end
+          is used in conjunction with <code class="computeroutput"><span class="identifier">mp_number</span></code>
+          : it acts as a thin wrapper around the GMP
+          <code class="computeroutput"><span class="identifier">mpf_t</span></code> to provide an real-number
+          type that is a drop-in replacement for the native C++ floating-point types,
+          but with much greater precision.
+        </p>
+<p>
+          Type <code class="computeroutput"><span class="identifier">gmp_float</span></code> can be used
+          at fixed precision by specifying a non-zero <code class="computeroutput"><span class="identifier">Digits10</span></code>
+          template parameter, or at variable precision by setting the template argument
+          to zero. The typedefs mpf_float_50, mpf_float_100, mpf_float_500, mpf_float_1000
+          provide arithmetic types at 50, 100, 500 and 1000 decimal digits precision
+          respectively. The typedef mpf_float provides a variable precision type
+          whose precision can be controlled via the <code class="computeroutput"><span class="identifier">mp_number</span></code>s
+          member functions.
+        </p>
+<div class="note"><table border="0" summary="Note">
+<tr>
+<td rowspan="2" align="center" valign="top" width="25"><img alt="[Note]" src="../../../images/note.png"></td>
+<th align="left">Note</th>
+</tr>
+<tr><td align="left" valign="top"><p>
+            This type only provides standard library and <code class="computeroutput"><span class="identifier">numeric_limits</span></code>
+            support when the precision is fixed at compile time.
+          </p></td></tr>
+</table></div>
+<p>
+          As well as the usual conversions from arithmetic and string types, instances
+          of <code class="computeroutput"><span class="identifier">mp_number</span><span class="special">&lt;</span><span class="identifier">mpf_float</span><span class="special">&lt;</span><span class="identifier">N</span><span class="special">&gt;</span> <span class="special">&gt;</span></code> are copy constructible and assignable
+          from:
+        </p>
+<div class="itemizedlist"><ul class="itemizedlist" type="disc">
+<li class="listitem">
+              The GMP native types <code class="computeroutput"><span class="identifier">mpf_t</span></code>, <code class="computeroutput"><span class="identifier">mpz_t</span></code>,
+              <code class="computeroutput"><span class="identifier">mpq_t</span></code>.
+            </li>
+<li class="listitem">
+              The <code class="computeroutput"><span class="identifier">mp_number</span></code> wrappers
+              around those types: <code class="computeroutput"><span class="identifier">mp_number</span><span class="special">&lt;</span><span class="identifier">mpf_float</span><span class="special">&lt;</span><span class="identifier">M</span><span class="special">&gt;</span> <span class="special">&gt;</span></code>,
+              <code class="computeroutput"><span class="identifier">mp_number</span><span class="special">&lt;</span><span class="identifier">gmp_int</span><span class="special">&gt;</span></code>,
+              <code class="computeroutput"><span class="identifier">mp_number</span><span class="special">&lt;</span><span class="identifier">gmp_rational</span><span class="special">&gt;</span></code>.
+            </li>
+</ul></div>
+<p>
+          It's also possible to access the underlying <code class="computeroutput"><span class="identifier">mpf_t</span></code>
+          via the <code class="computeroutput"><span class="identifier">data</span><span class="special">()</span></code>
+          member function of <code class="computeroutput"><span class="identifier">gmp_float</span></code>.
+        </p>
+<p>
+          Things you should know when using this type:
+        </p>
+<div class="itemizedlist"><ul class="itemizedlist" type="disc">
+<li class="listitem">
+              Default constructed <code class="computeroutput"><span class="identifier">gmp_float</span></code>s
+              have the value zero (this is the GMP
+              library's default behavior).
+            </li>
+<li class="listitem">
+              No changes are made to the GMP
+              library's global settings, so this type can be safely mixed with existing
+              GMP code.
+            </li>
+<li class="listitem">
+              It is not possible to round-trip objects of this type to and from a
+              string and get back exactly the same value. This appears to be a limitation
+              of GMP.
+            </li>
+<li class="listitem">
+              Since the underlying GMP types
+              have no notion of infinities or NaN's, care should be taken to avoid
+              numeric overflow or division by zero. That latter will trigger a hardware
+              exception, while generating excessively large exponents may result
+              in instability of the underlying GMP
+              library (in testing, converting a number with an excessively large
+              or small exponent to a string caused GMP
+              to segfault).
+            </li>
+<li class="listitem">
+              This type can equally be used with MPIR
+              as the underlying implementation - indeed that is the recommended option
+              on Win32.
+            </li>
+</ul></div>
+<h6>
+<a name="boost_multiprecision.tut.floats.gmp_float.h0"></a>
+          <span><a name="boost_multiprecision.tut.floats.gmp_float.__ulink_url__http___gmplib_org__gmp__ulink__example_"></a></span><a class="link" href="gmp_float.html#boost_multiprecision.tut.floats.gmp_float.__ulink_url__http___gmplib_org__gmp__ulink__example_">
+          GMP example:</a>
+        </h6>
+<p>
+</p>
+<pre class="programlisting"><span class="preprocessor">#include</span> <span class="special">&lt;</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">multiprecision</span><span class="special">/</span><span class="identifier">gmp</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">&gt;</span>
+
+<span class="keyword">using</span> <span class="keyword">namespace</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">multiprecision</span><span class="special">;</span>
+
+<span class="comment">// Operations at variable precision and limited standard library support:</span>
+<span class="identifier">mpf_float</span> <span class="identifier">a</span> <span class="special">=</span> <span class="number">2</span><span class="special">;</span>
+<span class="identifier">mpf_float</span><span class="special">::</span><span class="identifier">default_precision</span><span class="special">(</span><span class="number">1000</span><span class="special">);</span>
+<span class="identifier">std</span><span class="special">::</span><span class="identifier">cout</span> <span class="special">&lt;&lt;</span> <span class="identifier">mpf_float</span><span class="special">::</span><span class="identifier">default_precision</span><span class="special">()</span> <span class="special">&lt;&lt;</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">endl</span><span class="special">;</span>
+<span class="identifier">std</span><span class="special">::</span><span class="identifier">cout</span> <span class="special">&lt;&lt;</span> <span class="identifier">sqrt</span><span class="special">(</span><span class="identifier">a</span><span class="special">)</span> <span class="special">&lt;&lt;</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">endl</span><span class="special">;</span> <span class="comment">// print root-2</span>
+
+<span class="comment">// Operations at fixed precision and full standard library support:</span>
+<span class="identifier">mpf_float_100</span> <span class="identifier">b</span> <span class="special">=</span> <span class="number">2</span><span class="special">;</span>
+<span class="identifier">std</span><span class="special">::</span><span class="identifier">cout</span> <span class="special">&lt;&lt;</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">numeric_limits</span><span class="special">&lt;</span><span class="identifier">mpf_float_100</span><span class="special">&gt;::</span><span class="identifier">digits</span> <span class="special">&lt;&lt;</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">endl</span><span class="special">;</span>
+<span class="comment">// We can use any C++ std lib function:</span>
+<span class="identifier">std</span><span class="special">::</span><span class="identifier">cout</span> <span class="special">&lt;&lt;</span> <span class="identifier">log</span><span class="special">(</span><span class="identifier">b</span><span class="special">)</span> <span class="special">&lt;&lt;</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">endl</span><span class="special">;</span> <span class="comment">// print log(2)</span>
+<span class="comment">// We can also use any function from Boost.Math:</span>
+<span class="identifier">std</span><span class="special">::</span><span class="identifier">cout</span> <span class="special">&lt;&lt;</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">math</span><span class="special">::</span><span class="identifier">tgamma</span><span class="special">(</span><span class="identifier">b</span><span class="special">)</span> <span class="special">&lt;&lt;</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">endl</span><span class="special">;</span>
+<span class="comment">// These even work when the argument is an expression template:</span>
+<span class="identifier">std</span><span class="special">::</span><span class="identifier">cout</span> <span class="special">&lt;&lt;</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">math</span><span class="special">::</span><span class="identifier">tgamma</span><span class="special">(</span><span class="identifier">b</span> <span class="special">*</span> <span class="identifier">b</span><span class="special">)</span> <span class="special">&lt;&lt;</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">endl</span><span class="special">;</span>
+
+<span class="comment">// Access the underlying representation:</span>
+<span class="identifier">mpf_t</span> <span class="identifier">f</span><span class="special">;</span>
+<span class="identifier">mpf_init</span><span class="special">(</span><span class="identifier">f</span><span class="special">);</span>
+<span class="identifier">mpf_set</span><span class="special">(</span><span class="identifier">f</span><span class="special">,</span> <span class="identifier">a</span><span class="special">.</span><span class="identifier">backend</span><span class="special">().</span><span class="identifier">data</span><span class="special">());</span>
+</pre>
+<p>
+        </p>
+</div>
+<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
+<td align="left"></td>
+<td align="right"><div class="copyright-footer">Copyright &#169; 2002-2012 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 http://www.boost.org/LICENSE_1_0.txt)
+      </p>
+</div></td>
+</tr></table>
+<hr>
+<div class="spirit-nav">
+<a accesskey="p" href="../floats.html"><img src="../../../images/prev.png" alt="Prev"></a><a accesskey="u" href="../floats.html"><img src="../../../images/up.png" alt="Up"></a><a accesskey="h" href="../../../index.html"><img src="../../../images/home.png" alt="Home"></a><a accesskey="n" href="mpfr_float.html"><img src="../../../images/next.png" alt="Next"></a>
+</div>
+</body>
+</html>

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+++ sandbox/big_number/libs/multiprecision/doc/html/boost_multiprecision/tut/floats/mpfr_float.html	2012-03-30 14:35:38 EDT (Fri, 30 Mar 2012)
@@ -0,0 +1,159 @@
+<html>
+<head>
+<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
+<title>mpfr_float</title>
+<link rel="stylesheet" href="http://www.boost.org/doc/libs/release/doc/src/boostbook.css" type="text/css">
+<meta name="generator" content="DocBook XSL Stylesheets V1.76.1">
+<link rel="home" href="../../../index.html" title="Chapter&#160;1.&#160;Boost.Multiprecision">
+<link rel="up" href="../floats.html" title="Floating Point Numbers">
+<link rel="prev" href="gmp_float.html" title="gmp_float">
+<link rel="next" href="cpp_dec_float.html" title="cpp_dec_float">
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+<body bgcolor="white" text="black" link="#0000FF" vlink="#840084" alink="#0000FF">
+<div class="spirit-nav">
+<a accesskey="p" href="gmp_float.html"><img src="../../../images/prev.png" alt="Prev"></a><a accesskey="u" href="../floats.html"><img src="../../../images/up.png" alt="Up"></a><a accesskey="h" href="../../../index.html"><img src="../../../images/home.png" alt="Home"></a><a accesskey="n" href="cpp_dec_float.html"><img src="../../../images/next.png" alt="Next"></a>
+</div>
+<div class="section boost_multiprecision_tut_floats_mpfr_float">
+<div class="titlepage"><div><div><h4 class="title">
+<a name="boost_multiprecision.tut.floats.mpfr_float"></a><a class="link" href="mpfr_float.html" title="mpfr_float">mpfr_float</a>
+</h4></div></div></div>
+<p>
+          <code class="computeroutput"><span class="preprocessor">#include</span> <span class="special">&lt;</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">multiprecision</span><span class="special">/</span><span class="identifier">mpfr_float</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">&gt;</span></code>
+        </p>
+<pre class="programlisting"><span class="keyword">namespace</span> <span class="identifier">boost</span><span class="special">{</span> <span class="keyword">namespace</span> <span class="identifier">multiprecision</span><span class="special">{</span>
+
+<span class="keyword">template</span> <span class="special">&lt;</span><span class="keyword">unsigned</span> <span class="identifier">Digits10</span><span class="special">&gt;</span>
+<span class="keyword">class</span> <span class="identifier">mpfr_float_backend</span><span class="special">;</span>
+
+<span class="keyword">typedef</span> <span class="identifier">mp_number</span><span class="special">&lt;</span><span class="identifier">mpfr_float_backend</span><span class="special">&lt;</span><span class="number">50</span><span class="special">&gt;</span> <span class="special">&gt;</span>    <span class="identifier">mpfr_float_50</span><span class="special">;</span>
+<span class="keyword">typedef</span> <span class="identifier">mp_number</span><span class="special">&lt;</span><span class="identifier">mpfr_float_backend</span><span class="special">&lt;</span><span class="number">100</span><span class="special">&gt;</span> <span class="special">&gt;</span>   <span class="identifier">mpfr_float_100</span><span class="special">;</span>
+<span class="keyword">typedef</span> <span class="identifier">mp_number</span><span class="special">&lt;</span><span class="identifier">mpfr_float_backend</span><span class="special">&lt;</span><span class="number">500</span><span class="special">&gt;</span> <span class="special">&gt;</span>   <span class="identifier">mpfr_float_500</span><span class="special">;</span>
+<span class="keyword">typedef</span> <span class="identifier">mp_number</span><span class="special">&lt;</span><span class="identifier">mpfr_float_backend</span><span class="special">&lt;</span><span class="number">1000</span><span class="special">&gt;</span> <span class="special">&gt;</span>  <span class="identifier">mpfr_float_1000</span><span class="special">;</span>
+<span class="keyword">typedef</span> <span class="identifier">mp_number</span><span class="special">&lt;</span><span class="identifier">mpfr_float_backend</span><span class="special">&lt;</span><span class="number">0</span><span class="special">&gt;</span> <span class="special">&gt;</span>     <span class="identifier">mpfr_float</span><span class="special">;</span>
+
+<span class="special">}}</span> <span class="comment">// namespaces</span>
+</pre>
+<p>
+          The <code class="computeroutput"><span class="identifier">mpfr_float_backend</span></code>
+          type is used in conjunction with <code class="computeroutput"><span class="identifier">mp_number</span></code>:
+          It acts as a thin wrapper around the MPFR
+          <code class="computeroutput"><span class="identifier">mpfr_t</span></code> to provide an real-number
+          type that is a drop-in replacement for the native C++ floating-point types,
+          but with much greater precision.
+        </p>
+<p>
+          Type <code class="computeroutput"><span class="identifier">mpfr_float_backend</span></code>
+          can be used at fixed precision by specifying a non-zero <code class="computeroutput"><span class="identifier">Digits10</span></code>
+          template parameter, or at variable precision by setting the template argument
+          to zero. The typedefs mpfr_float_50, mpfr_float_100, mpfr_float_500, mpfr_float_1000
+          provide arithmetic types at 50, 100, 500 and 1000 decimal digits precision
+          respectively. The typedef mpfr_float provides a variable precision type
+          whose precision can be controlled via the <code class="computeroutput"><span class="identifier">mp_number</span></code>s
+          member functions.
+        </p>
+<div class="note"><table border="0" summary="Note">
+<tr>
+<td rowspan="2" align="center" valign="top" width="25"><img alt="[Note]" src="../../../images/note.png"></td>
+<th align="left">Note</th>
+</tr>
+<tr><td align="left" valign="top"><p>
+            This type only provides <code class="computeroutput"><span class="identifier">numeric_limits</span></code>
+            support when the precision is fixed at compile time.
+          </p></td></tr>
+</table></div>
+<p>
+          As well as the usual conversions from arithmetic and string types, instances
+          of <code class="computeroutput"><span class="identifier">mp_number</span><span class="special">&lt;</span><span class="identifier">mpfr_float_backend</span><span class="special">&lt;</span><span class="identifier">N</span><span class="special">&gt;</span> <span class="special">&gt;</span></code> are copy constructible and assignable
+          from:
+        </p>
+<div class="itemizedlist"><ul class="itemizedlist" type="disc">
+<li class="listitem">
+              The GMP native types <code class="computeroutput"><span class="identifier">mpf_t</span></code>, <code class="computeroutput"><span class="identifier">mpz_t</span></code>,
+              <code class="computeroutput"><span class="identifier">mpq_t</span></code>.
+            </li>
+<li class="listitem">
+              The MPFR native type <code class="computeroutput"><span class="identifier">mpfr_t</span></code>.
+            </li>
+<li class="listitem">
+              The <code class="computeroutput"><span class="identifier">mp_number</span></code> wrappers
+              around those types: <code class="computeroutput"><span class="identifier">mp_number</span><span class="special">&lt;</span><span class="identifier">mpfr_float_backend</span><span class="special">&lt;</span><span class="identifier">M</span><span class="special">&gt;</span> <span class="special">&gt;</span></code>,
+              <code class="computeroutput"><span class="identifier">mp_number</span><span class="special">&lt;</span><span class="identifier">mpf_float</span><span class="special">&lt;</span><span class="identifier">M</span><span class="special">&gt;</span> <span class="special">&gt;</span></code>, <code class="computeroutput"><span class="identifier">mp_number</span><span class="special">&lt;</span><span class="identifier">gmp_int</span><span class="special">&gt;</span></code>, <code class="computeroutput"><span class="identifier">mp_number</span><span class="special">&lt;</span><span class="identifier">gmp_rational</span><span class="special">&gt;</span></code>.
+            </li>
+</ul></div>
+<p>
+          It's also possible to access the underlying <code class="computeroutput"><span class="identifier">mpf_t</span></code>
+          via the data() member function of <code class="computeroutput"><span class="identifier">gmp_float</span></code>.
+        </p>
+<p>
+          Things you should know when using this type:
+        </p>
+<div class="itemizedlist"><ul class="itemizedlist" type="disc">
+<li class="listitem">
+              A default constructed <code class="computeroutput"><span class="identifier">mpfr_float_backend</span></code>
+              is set to a NaN (this is the default MPFR
+              behavior).
+            </li>
+<li class="listitem">
+              All operations use round to nearest.
+            </li>
+<li class="listitem">
+              No changes are made to GMP or
+              MPFR global settings, so this
+              type can coexist with existing MPFR
+              or GMP code.
+            </li>
+<li class="listitem">
+              The code can equally use MPIR
+              in place of GMP - indeed that
+              is the preferred option on Win32.
+            </li>
+</ul></div>
+<h6>
+<a name="boost_multiprecision.tut.floats.mpfr_float.h0"></a>
+          <span><a name="boost_multiprecision.tut.floats.mpfr_float.__ulink_url__http___www_mpfr_org__mpfr__ulink__example_"></a></span><a class="link" href="mpfr_float.html#boost_multiprecision.tut.floats.mpfr_float.__ulink_url__http___www_mpfr_org__mpfr__ulink__example_">
+          MPFR example:</a>
+        </h6>
+<p>
+</p>
+<pre class="programlisting"><span class="preprocessor">#include</span> <span class="special">&lt;</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">multiprecision</span><span class="special">/</span><span class="identifier">mpfr</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">&gt;</span>
+
+<span class="keyword">using</span> <span class="keyword">namespace</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">multiprecision</span><span class="special">;</span>
+
+<span class="comment">// Operations at variable precision and no numeric_limits support:</span>
+<span class="identifier">mpfr_float</span> <span class="identifier">a</span> <span class="special">=</span> <span class="number">2</span><span class="special">;</span>
+<span class="identifier">mpfr_float</span><span class="special">::</span><span class="identifier">default_precision</span><span class="special">(</span><span class="number">1000</span><span class="special">);</span>
+<span class="identifier">std</span><span class="special">::</span><span class="identifier">cout</span> <span class="special">&lt;&lt;</span> <span class="identifier">mpfr_float</span><span class="special">::</span><span class="identifier">default_precision</span><span class="special">()</span> <span class="special">&lt;&lt;</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">endl</span><span class="special">;</span>
+<span class="identifier">std</span><span class="special">::</span><span class="identifier">cout</span> <span class="special">&lt;&lt;</span> <span class="identifier">sqrt</span><span class="special">(</span><span class="identifier">a</span><span class="special">)</span> <span class="special">&lt;&lt;</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">endl</span><span class="special">;</span> <span class="comment">// print root-2</span>
+
+<span class="comment">// Operations at fixed precision and full numeric_limits support:</span>
+<span class="identifier">mpfr_float_100</span> <span class="identifier">b</span> <span class="special">=</span> <span class="number">2</span><span class="special">;</span>
+<span class="identifier">std</span><span class="special">::</span><span class="identifier">cout</span> <span class="special">&lt;&lt;</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">numeric_limits</span><span class="special">&lt;</span><span class="identifier">mpfr_float_100</span><span class="special">&gt;::</span><span class="identifier">digits</span> <span class="special">&lt;&lt;</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">endl</span><span class="special">;</span>
+<span class="comment">// We can use any C++ std lib function:</span>
+<span class="identifier">std</span><span class="special">::</span><span class="identifier">cout</span> <span class="special">&lt;&lt;</span> <span class="identifier">log</span><span class="special">(</span><span class="identifier">b</span><span class="special">)</span> <span class="special">&lt;&lt;</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">endl</span><span class="special">;</span> <span class="comment">// print log(2)</span>
+<span class="comment">// We can also use any function from Boost.Math:</span>
+<span class="identifier">std</span><span class="special">::</span><span class="identifier">cout</span> <span class="special">&lt;&lt;</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">math</span><span class="special">::</span><span class="identifier">tgamma</span><span class="special">(</span><span class="identifier">b</span><span class="special">)</span> <span class="special">&lt;&lt;</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">endl</span><span class="special">;</span>
+<span class="comment">// These even work when the argument is an expression template:</span>
+<span class="identifier">std</span><span class="special">::</span><span class="identifier">cout</span> <span class="special">&lt;&lt;</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">math</span><span class="special">::</span><span class="identifier">tgamma</span><span class="special">(</span><span class="identifier">b</span> <span class="special">*</span> <span class="identifier">b</span><span class="special">)</span> <span class="special">&lt;&lt;</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">endl</span><span class="special">;</span>
+
+<span class="comment">// Access the underlying data:</span>
+<span class="identifier">mpfr_t</span> <span class="identifier">r</span><span class="special">;</span>
+<span class="identifier">mpfr_init</span><span class="special">(</span><span class="identifier">r</span><span class="special">);</span>
+<span class="identifier">mpfr_set</span><span class="special">(</span><span class="identifier">r</span><span class="special">,</span> <span class="identifier">b</span><span class="special">.</span><span class="identifier">backend</span><span class="special">().</span><span class="identifier">data</span><span class="special">(),</span> <span class="identifier">GMP_RNDN</span><span class="special">);</span>
+</pre>
+<p>
+        </p>
+</div>
+<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
+<td align="left"></td>
+<td align="right"><div class="copyright-footer">Copyright &#169; 2002-2012 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 http://www.boost.org/LICENSE_1_0.txt)
+      </p>
+</div></td>
+</tr></table>
+<hr>
+<div class="spirit-nav">
+<a accesskey="p" href="gmp_float.html"><img src="../../../images/prev.png" alt="Prev"></a><a accesskey="u" href="../floats.html"><img src="../../../images/up.png" alt="Up"></a><a accesskey="h" href="../../../index.html"><img src="../../../images/home.png" alt="Home"></a><a accesskey="n" href="cpp_dec_float.html"><img src="../../../images/next.png" alt="Next"></a>
+</div>
+</body>
+</html>

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@@ -0,0 +1,186 @@
+<html>
+<head>
+<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
+<title>Integer Types</title>
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+<meta name="generator" content="DocBook XSL Stylesheets V1.76.1">
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+</div>
+<div class="section boost_multiprecision_tut_ints">
+<div class="titlepage"><div><div><h3 class="title">
+<a name="boost_multiprecision.tut.ints"></a><a class="link" href="ints.html" title="Integer Types">Integer Types</a>
+</h3></div></div></div>
+<div class="toc"><dl>
+<dt><span class="section">cpp_int</span></dt>
+<dt><span class="section">gmp_int</span></dt>
+<dt><span class="section">tom_int</span></dt>
+</dl></div>
+<p>
+        The following back-ends provide integer arithmetic:
+      </p>
+<div class="informaltable"><table class="table">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+                <p>
+                  Backend Type
+                </p>
+              </th>
+<th>
+                <p>
+                  Header
+                </p>
+              </th>
+<th>
+                <p>
+                  Radix
+                </p>
+              </th>
+<th>
+                <p>
+                  Dependencies
+                </p>
+              </th>
+<th>
+                <p>
+                  Pros
+                </p>
+              </th>
+<th>
+                <p>
+                  Cons
+                </p>
+              </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="identifier">cpp_int</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  boost/multiprecision/cpp_int.hpp
+                </p>
+              </td>
+<td>
+                <p>
+                  2
+                </p>
+              </td>
+<td>
+                <p>
+                  None
+                </p>
+              </td>
+<td>
+                <p>
+                  Very versatile, Boost licensed, all C++ integer type which support
+                  both <a href="http://en.wikipedia.org/wiki/Arbitrary-precision_arithmetic" target="_top">arbitrary
+                  precision</a> and fixed precision integer types.
+                </p>
+              </td>
+<td>
+                <p>
+                  Slower than GMP, though
+                  typically not as slow as libtommath
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="identifier">gmp_int</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  boost/multiprecision/gmp.hpp
+                </p>
+              </td>
+<td>
+                <p>
+                  2
+                </p>
+              </td>
+<td>
+                <p>
+                  GMP
+                </p>
+              </td>
+<td>
+                <p>
+                  Very fast and efficient back-end.
+                </p>
+              </td>
+<td>
+                <p>
+                  Dependency on GNU licensed GMP
+                  library.
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="identifier">tom_int</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  boost/multiprecision/tommath.hpp
+                </p>
+              </td>
+<td>
+                <p>
+                  2
+                </p>
+              </td>
+<td>
+                <p>
+                  libtommath
+                </p>
+              </td>
+<td>
+                <p>
+                  Public domain back-end with no licence restrictions.
+                </p>
+              </td>
+<td>
+                <p>
+                  Slower than GMP.
+                </p>
+              </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
+<td align="left"></td>
+<td align="right"><div class="copyright-footer">Copyright &#169; 2002-2012 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 http://www.boost.org/LICENSE_1_0.txt)
+      </p>
+</div></td>
+</tr></table>
+<hr>
+<div class="spirit-nav">
+<a accesskey="p" href="../tut.html"><img src="../../images/prev.png" alt="Prev"></a><a accesskey="u" href="../tut.html"><img src="../../images/up.png" alt="Up"></a><a accesskey="h" href="../../index.html"><img src="../../images/home.png" alt="Home"></a><a accesskey="n" href="ints/cpp_int.html"><img src="../../images/next.png" alt="Next"></a>
+</div>
+</body>
+</html>

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@@ -0,0 +1,179 @@
+<html>
+<head>
+<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
+<title>cpp_int</title>
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+<meta name="generator" content="DocBook XSL Stylesheets V1.76.1">
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+</div>
+<div class="section boost_multiprecision_tut_ints_cpp_int">
+<div class="titlepage"><div><div><h4 class="title">
+<a name="boost_multiprecision.tut.ints.cpp_int"></a><a class="link" href="cpp_int.html" title="cpp_int">cpp_int</a>
+</h4></div></div></div>
+<p>
+          <code class="computeroutput"><span class="preprocessor">#include</span> <span class="special">&lt;</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">multiprecision</span><span class="special">/</span><span class="identifier">cpp_int</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">&gt;</span></code>
+        </p>
+<pre class="programlisting"><span class="keyword">namespace</span> <span class="identifier">boost</span><span class="special">{</span> <span class="keyword">namespace</span> <span class="identifier">multiprecision</span><span class="special">{</span>
+
+<span class="keyword">typedef</span> <span class="identifier">unspecified</span><span class="special">-</span><span class="identifier">type</span> <span class="identifier">limb_type</span><span class="special">;</span>
+
+<span class="keyword">template</span> <span class="special">&lt;</span><span class="keyword">unsigned</span> <span class="identifier">MinDigits</span> <span class="special">=</span> <span class="number">0</span><span class="special">,</span> <span class="keyword">bool</span> <span class="identifier">Signed</span> <span class="special">=</span> <span class="keyword">true</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">Allocator</span> <span class="special">=</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">allocator</span><span class="special">&lt;</span><span class="identifier">limb_type</span><span class="special">&gt;</span> <span class="special">&gt;</span>
+<span class="keyword">class</span> <span class="identifier">cpp_int_backend</span><span class="special">;</span>
+
+<span class="keyword">typedef</span> <span class="identifier">mp_number</span><span class="special">&lt;</span><span class="identifier">cpp_int_backend</span><span class="special">&lt;&gt;</span> <span class="special">&gt;</span>           <span class="identifier">cpp_int</span><span class="special">;</span>    <span class="comment">// arbitrary precision integer</span>
+<span class="keyword">typedef</span> <span class="identifier">rational_adapter</span><span class="special">&lt;</span><span class="identifier">cpp_int_backend</span><span class="special">&lt;&gt;</span> <span class="special">&gt;</span>    <span class="identifier">cpp_rational_backend</span><span class="special">;</span>
+<span class="keyword">typedef</span> <span class="identifier">mp_number</span><span class="special">&lt;</span><span class="identifier">cpp_rational_backend</span><span class="special">&gt;</span>         <span class="identifier">cpp_rational</span><span class="special">;</span> <span class="comment">// arbitrary precision rational number</span>
+
+<span class="comment">// Fixed precision unsigned types:</span>
+<span class="keyword">typedef</span> <span class="identifier">mp_number</span><span class="special">&lt;</span><span class="identifier">cpp_int_backend</span><span class="special">&lt;</span><span class="number">128</span><span class="special">,</span> <span class="keyword">false</span><span class="special">,</span> <span class="keyword">void</span><span class="special">&gt;,</span> <span class="keyword">false</span><span class="special">&gt;</span>   <span class="identifier">mp_uint128_t</span><span class="special">;</span>
+<span class="keyword">typedef</span> <span class="identifier">mp_number</span><span class="special">&lt;</span><span class="identifier">cpp_int_backend</span><span class="special">&lt;</span><span class="number">256</span><span class="special">,</span> <span class="keyword">false</span><span class="special">,</span> <span class="keyword">void</span><span class="special">&gt;,</span> <span class="keyword">false</span><span class="special">&gt;</span>   <span class="identifier">mp_uint256_t</span><span class="special">;</span>
+<span class="keyword">typedef</span> <span class="identifier">mp_number</span><span class="special">&lt;</span><span class="identifier">cpp_int_backend</span><span class="special">&lt;</span><span class="number">512</span><span class="special">,</span> <span class="keyword">false</span><span class="special">,</span> <span class="keyword">void</span><span class="special">&gt;,</span> <span class="keyword">false</span><span class="special">&gt;</span>   <span class="identifier">mp_uint512_t</span><span class="special">;</span>
+<span class="keyword">typedef</span> <span class="identifier">mp_number</span><span class="special">&lt;</span><span class="identifier">cpp_int_backend</span><span class="special">&lt;</span><span class="number">1024</span><span class="special">,</span> <span class="keyword">false</span><span class="special">,</span> <span class="keyword">void</span><span class="special">&gt;,</span> <span class="keyword">false</span><span class="special">&gt;</span>  <span class="identifier">mp_uint1024_t</span><span class="special">;</span>
+
+<span class="comment">// Fixed precision signed types:</span>
+<span class="keyword">typedef</span> <span class="identifier">mp_number</span><span class="special">&lt;</span><span class="identifier">cpp_int_backend</span><span class="special">&lt;</span><span class="number">128</span><span class="special">,</span> <span class="keyword">true</span><span class="special">,</span> <span class="keyword">void</span><span class="special">&gt;,</span> <span class="keyword">false</span><span class="special">&gt;</span>    <span class="identifier">mp_int128_t</span><span class="special">;</span>
+<span class="keyword">typedef</span> <span class="identifier">mp_number</span><span class="special">&lt;</span><span class="identifier">cpp_int_backend</span><span class="special">&lt;</span><span class="number">256</span><span class="special">,</span> <span class="keyword">true</span><span class="special">,</span> <span class="keyword">void</span><span class="special">&gt;,</span> <span class="keyword">false</span><span class="special">&gt;</span>    <span class="identifier">mp_int256_t</span><span class="special">;</span>
+<span class="keyword">typedef</span> <span class="identifier">mp_number</span><span class="special">&lt;</span><span class="identifier">cpp_int_backend</span><span class="special">&lt;</span><span class="number">512</span><span class="special">,</span> <span class="keyword">true</span><span class="special">,</span> <span class="keyword">void</span><span class="special">&gt;,</span> <span class="keyword">false</span><span class="special">&gt;</span>    <span class="identifier">mp_int512_t</span><span class="special">;</span>
+<span class="keyword">typedef</span> <span class="identifier">mp_number</span><span class="special">&lt;</span><span class="identifier">cpp_int_backend</span><span class="special">&lt;</span><span class="number">1024</span><span class="special">,</span> <span class="keyword">true</span><span class="special">,</span> <span class="keyword">void</span><span class="special">&gt;,</span> <span class="keyword">false</span><span class="special">&gt;</span>   <span class="identifier">mp_int1024_t</span><span class="special">;</span>
+
+<span class="special">}}</span> <span class="comment">// namespaces</span>
+</pre>
+<p>
+          The <code class="computeroutput"><span class="identifier">cpp_int_backend</span></code> type
+          is used via one of the typedefs <code class="computeroutput"><span class="identifier">boost</span><span class="special">::</span><span class="identifier">multiprecision</span><span class="special">::</span><span class="identifier">cpp_int</span></code>,
+          <code class="computeroutput"><span class="identifier">boost</span><span class="special">::</span><span class="identifier">multiprecision</span><span class="special">::</span><span class="identifier">mp_uint128_t</span></code>, <code class="computeroutput"><span class="identifier">boost</span><span class="special">::</span><span class="identifier">multiprecision</span><span class="special">::</span><span class="identifier">mp_uint256_t</span></code>,
+          <code class="computeroutput"><span class="identifier">boost</span><span class="special">::</span><span class="identifier">multiprecision</span><span class="special">::</span><span class="identifier">mp_uint512_t</span></code>, <code class="computeroutput"><span class="identifier">boost</span><span class="special">::</span><span class="identifier">multiprecision</span><span class="special">::</span><span class="identifier">mp_int128_t</span></code>,
+          <code class="computeroutput"><span class="identifier">boost</span><span class="special">::</span><span class="identifier">multiprecision</span><span class="special">::</span><span class="identifier">mp_int256_t</span></code> or <code class="computeroutput"><span class="identifier">boost</span><span class="special">::</span><span class="identifier">multiprecision</span><span class="special">::</span><span class="identifier">mp_int512_t</span></code>.
+        </p>
+<p>
+          This back-end is the "Swiss Army Knife" of integer types as it
+          can represent both fixed and <a href="http://en.wikipedia.org/wiki/Arbitrary-precision_arithmetic" target="_top">arbitrary
+          precision</a> integer types, and both signed and unsigned types. There
+          are three template arguments:
+        </p>
+<div class="variablelist">
+<p class="title"><b></b></p>
+<dl>
+<dt><span class="term">MinBits</span></dt>
+<dd><p>
+                Determines the number of Bits to store directly within the object
+                before resorting to dynamic memory allocation. When zero, this field
+                is determined automatically based on how many bits can be stored
+                in union with the dynamic storage header: setting a larger value
+                may improve performance as larger integer values will be stored internally
+                before memory allocation is required. When the Allocator parameter
+                is type <code class="computeroutput"><span class="keyword">void</span></code>, then this
+                field determines the total number of bits in the resulting fixed
+                precision type.
+              </p></dd>
+<dt><span class="term">Signed</span></dt>
+<dd><p>
+                Determines whether the resulting type is signed or not. Note that
+                for <a href="http://en.wikipedia.org/wiki/Arbitrary-precision_arithmetic" target="_top">arbitrary
+                precision</a> types (where the Allocator parameter is non-void),
+                then this parameter must be <code class="computeroutput"><span class="keyword">true</span></code>.
+                For fixed precision types then this type may be either <code class="computeroutput"><span class="keyword">true</span></code> (type is signed), or <code class="computeroutput"><span class="keyword">false</span></code> (type is unsigned).
+              </p></dd>
+<dt><span class="term">Allocator</span></dt>
+<dd><p>
+                The allocator to use for dynamic memory allocation, or type <code class="computeroutput"><span class="keyword">void</span></code> if this is to be a fixed precision
+                type.
+              </p></dd>
+</dl>
+</div>
+<p>
+          Things you should know when using this type:
+        </p>
+<div class="itemizedlist"><ul class="itemizedlist" type="disc">
+<li class="listitem">
+              Default constructed <code class="computeroutput"><span class="identifier">cpp_int_backend</span></code>s
+              have the value zero.
+            </li>
+<li class="listitem">
+              Division by zero results in a <code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">runtime_error</span></code>
+              being thrown.
+            </li>
+<li class="listitem">
+              Construction from a string that contains invalid non-numeric characters
+              results in a <code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">runtime_error</span></code> being thrown.
+            </li>
+<li class="listitem">
+              Since the precision of <code class="computeroutput"><span class="identifier">cpp_int_backend</span></code>
+              is necessarily limited when the allocator parameter is void, care should
+              be taken to avoid numeric overflow when using this type unless you
+              actually want modulo-arithmetic behavior.
+            </li>
+<li class="listitem">
+              The type uses a sign-magnitude representation internally, so type
+              <code class="computeroutput"><span class="identifier">mp_int128_t</span></code> has 128-bits
+              of precision plus an extra sign bit. In this respect the behaviour
+              of these types differs from built-in 2's complement types. In might
+              be tempting to use a 127-bit type instead, and indeed this does work,
+              but behaviour is still slightly different from a 2's complement built-in
+              type as the min and max values are identical (apart from the sign),
+              where as they differ by one for a true 2's complement type. That said
+              it should be noted that there's no requirement for built-in types to
+              be 2's complement either - it's simply that this is the most common
+              format by far.
+            </li>
+<li class="listitem">
+              Attempting to print negative values as either an Octal or Hexadecimal
+              string results in a <code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">runtime_error</span></code>
+              being thrown, this is a direct consequence of the sign-magnitude representation.
+            </li>
+<li class="listitem">
+              The fixed precision types <code class="computeroutput"><span class="identifier">mp_</span><span class="special">[</span><span class="identifier">u</span><span class="special">]</span><span class="identifier">intXXX_t</span></code>
+              have expression template support turned off - it seems to make little
+              difference to the performance of these types either way - so we may
+              as well have the faster compile times by turning the feature off.
+            </li>
+</ul></div>
+<h6>
+<a name="boost_multiprecision.tut.ints.cpp_int.h0"></a>
+          <span><a name="boost_multiprecision.tut.ints.cpp_int.example_"></a></span><a class="link" href="cpp_int.html#boost_multiprecision.tut.ints.cpp_int.example_">Example:</a>
+        </h6>
+<p>
+</p>
+<pre class="programlisting"><span class="preprocessor">#include</span> <span class="special">&lt;</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">multiprecision</span><span class="special">/</span><span class="identifier">cpp_int</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">&gt;</span>
+
+<span class="keyword">using</span> <span class="keyword">namespace</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">multiprecision</span><span class="special">;</span>
+
+<span class="identifier">mp_int128_t</span> <span class="identifier">v</span> <span class="special">=</span> <span class="number">1</span><span class="special">;</span>
+
+<span class="comment">// Do some fixed precision arithmetic:</span>
+<span class="keyword">for</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">i</span> <span class="special">=</span> <span class="number">1</span><span class="special">;</span> <span class="identifier">i</span> <span class="special">&lt;=</span> <span class="number">20</span><span class="special">;</span> <span class="special">++</span><span class="identifier">i</span><span class="special">)</span>
+   <span class="identifier">v</span> <span class="special">*=</span> <span class="identifier">i</span><span class="special">;</span>
+
+<span class="identifier">std</span><span class="special">::</span><span class="identifier">cout</span> <span class="special">&lt;&lt;</span> <span class="identifier">v</span> <span class="special">&lt;&lt;</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">endl</span><span class="special">;</span> <span class="comment">// prints 20!</span>
+
+<span class="comment">// Repeat at arbitrary precision:</span>
+<span class="identifier">cpp_int</span> <span class="identifier">u</span> <span class="special">=</span> <span class="number">1</span><span class="special">;</span>
+<span class="keyword">for</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">i</span> <span class="special">=</span> <span class="number">1</span><span class="special">;</span> <span class="identifier">i</span> <span class="special">&lt;=</span> <span class="number">100</span><span class="special">;</span> <span class="special">++</span><span class="identifier">i</span><span class="special">)</span>
+   <span class="identifier">u</span> <span class="special">*=</span> <span class="identifier">i</span><span class="special">;</span>
+
+<span class="identifier">std</span><span class="special">::</span><span class="identifier">cout</span> <span class="special">&lt;&lt;</span> <span class="identifier">u</span> <span class="special">&lt;&lt;</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">endl</span><span class="special">;</span> <span class="comment">// prints 100!</span>
+</pre>
+<p>
+        </p>
+</div>
+<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
+<td align="left"></td>
+<td align="right"><div class="copyright-footer">Copyright &#169; 2002-2012 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 http://www.boost.org/LICENSE_1_0.txt)
+      </p>
+</div></td>
+</tr></table>
+<hr>
+<div class="spirit-nav">
+<a accesskey="p" href="../ints.html"><img src="../../../images/prev.png" alt="Prev"></a><a accesskey="u" href="../ints.html"><img src="../../../images/up.png" alt="Up"></a><a accesskey="h" href="../../../index.html"><img src="../../../images/home.png" alt="Home"></a><a accesskey="n" href="gmp_int.html"><img src="../../../images/next.png" alt="Next"></a>
+</div>
+</body>
+</html>

Added: sandbox/big_number/libs/multiprecision/doc/html/boost_multiprecision/tut/ints/gmp_int.html
==============================================================================
--- (empty file)
+++ sandbox/big_number/libs/multiprecision/doc/html/boost_multiprecision/tut/ints/gmp_int.html	2012-03-30 14:35:38 EDT (Fri, 30 Mar 2012)
@@ -0,0 +1,128 @@
+<html>
+<head>
+<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
+<title>gmp_int</title>
+<link rel="stylesheet" href="http://www.boost.org/doc/libs/release/doc/src/boostbook.css" type="text/css">
+<meta name="generator" content="DocBook XSL Stylesheets V1.76.1">
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+</div>
+<div class="section boost_multiprecision_tut_ints_gmp_int">
+<div class="titlepage"><div><div><h4 class="title">
+<a name="boost_multiprecision.tut.ints.gmp_int"></a><a class="link" href="gmp_int.html" title="gmp_int">gmp_int</a>
+</h4></div></div></div>
+<p>
+          <code class="computeroutput"><span class="preprocessor">#include</span> <span class="special">&lt;</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">multiprecision</span><span class="special">/</span><span class="identifier">gmp</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">&gt;</span></code>
+        </p>
+<pre class="programlisting"><span class="keyword">namespace</span> <span class="identifier">boost</span><span class="special">{</span> <span class="keyword">namespace</span> <span class="identifier">multiprecision</span><span class="special">{</span>
+
+<span class="keyword">class</span> <span class="identifier">gmp_int</span><span class="special">;</span>
+
+<span class="keyword">typedef</span> <span class="identifier">mp_number</span><span class="special">&lt;</span><span class="identifier">gmp_int</span> <span class="special">&gt;</span>         <span class="identifier">mpz_int</span><span class="special">;</span>
+
+<span class="special">}}</span> <span class="comment">// namespaces</span>
+</pre>
+<p>
+          The <code class="computeroutput"><span class="identifier">gmp_int</span></code> back-end is
+          used via the typedef <code class="computeroutput"><span class="identifier">boost</span><span class="special">::</span><span class="identifier">multiprecision</span><span class="special">::</span><span class="identifier">mpz_int</span></code>.
+          It acts as a thin wrapper around the GMP
+          <code class="computeroutput"><span class="identifier">mpz_t</span></code> to provide an integer
+          type that is a drop-in replacement for the native C++ integer types, but
+          with unlimited precision.
+        </p>
+<p>
+          As well as the usual conversions from arithmetic and string types, type
+          <code class="computeroutput"><span class="identifier">mpz_int</span></code> is copy constructible
+          and assignable from:
+        </p>
+<div class="itemizedlist"><ul class="itemizedlist" type="disc">
+<li class="listitem">
+              The GMP native types: <code class="computeroutput"><span class="identifier">mpf_t</span></code>, <code class="computeroutput"><span class="identifier">mpz_t</span></code>,
+              <code class="computeroutput"><span class="identifier">mpq_t</span></code>.
+            </li>
+<li class="listitem">
+              Instances of <code class="computeroutput"><span class="identifier">mp_number</span><span class="special">&lt;</span><span class="identifier">T</span><span class="special">&gt;</span></code> that are wrappers around those
+              types: <code class="computeroutput"><span class="identifier">mp_number</span><span class="special">&lt;</span><span class="identifier">gmp_float</span><span class="special">&lt;</span><span class="identifier">N</span><span class="special">&gt;</span> <span class="special">&gt;</span></code>, <code class="computeroutput"><span class="identifier">mp_number</span><span class="special">&lt;</span><span class="identifier">gmp_rational</span><span class="special">&gt;</span></code>.
+            </li>
+</ul></div>
+<p>
+          It's also possible to access the underlying <code class="computeroutput"><span class="identifier">mpz_t</span></code>
+          via the <code class="computeroutput"><span class="identifier">data</span><span class="special">()</span></code>
+          member function of <code class="computeroutput"><span class="identifier">gmp_int</span></code>.
+        </p>
+<p>
+          Things you should know when using this type:
+        </p>
+<div class="itemizedlist"><ul class="itemizedlist" type="disc">
+<li class="listitem">
+              No changes are made to the GMP library's global settings - so you can
+              safely mix this type with existing code that uses GMP.
+            </li>
+<li class="listitem">
+              Default constructed <code class="computeroutput"><span class="identifier">gmp_int</span></code>s
+              have the value zero (this is GMP's default behavior).
+            </li>
+<li class="listitem">
+              Formatted IO for this type does not support octal or hexadecimal notation
+              for negative values, as a result performing formatted output on this
+              type when the argument is negative and either of the flags <code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">ios_base</span><span class="special">::</span><span class="identifier">oct</span></code> or <code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">ios_base</span><span class="special">::</span><span class="identifier">hex</span></code>
+              are set, will result in a <code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">runtime_error</span></code>
+              will be thrown.
+            </li>
+<li class="listitem">
+              Division by zero is handled by the GMP
+              library - it will trigger a division by zero signal.
+            </li>
+<li class="listitem">
+              Although this type is a wrapper around GMP
+              it will work equally well with MPIR.
+              Indeed use of MPIR is recommended
+              on Win32.
+            </li>
+</ul></div>
+<h6>
+<a name="boost_multiprecision.tut.ints.gmp_int.h0"></a>
+          <span><a name="boost_multiprecision.tut.ints.gmp_int.example_"></a></span><a class="link" href="gmp_int.html#boost_multiprecision.tut.ints.gmp_int.example_">Example:</a>
+        </h6>
+<p>
+</p>
+<pre class="programlisting"><span class="preprocessor">#include</span> <span class="special">&lt;</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">multiprecision</span><span class="special">/</span><span class="identifier">gmp</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">&gt;</span>
+
+<span class="keyword">using</span> <span class="keyword">namespace</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">multiprecision</span><span class="special">;</span>
+
+<span class="identifier">mpz_int</span> <span class="identifier">v</span> <span class="special">=</span> <span class="number">1</span><span class="special">;</span>
+
+<span class="comment">// Do some arithmetic:</span>
+<span class="keyword">for</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">i</span> <span class="special">=</span> <span class="number">1</span><span class="special">;</span> <span class="identifier">i</span> <span class="special">&lt;=</span> <span class="number">1000</span><span class="special">;</span> <span class="special">++</span><span class="identifier">i</span><span class="special">)</span>
+   <span class="identifier">v</span> <span class="special">*=</span> <span class="identifier">i</span><span class="special">;</span>
+
+<span class="identifier">std</span><span class="special">::</span><span class="identifier">cout</span> <span class="special">&lt;&lt;</span> <span class="identifier">v</span> <span class="special">&lt;&lt;</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">endl</span><span class="special">;</span> <span class="comment">// prints 1000!</span>
+
+<span class="comment">// Access the underlying representation:</span>
+<span class="identifier">mpz_t</span> <span class="identifier">z</span><span class="special">;</span>
+<span class="identifier">mpz_init</span><span class="special">(</span><span class="identifier">z</span><span class="special">);</span>
+<span class="identifier">mpz_set</span><span class="special">(</span><span class="identifier">z</span><span class="special">,</span> <span class="identifier">v</span><span class="special">.</span><span class="identifier">backend</span><span class="special">().</span><span class="identifier">data</span><span class="special">());</span>
+</pre>
+<p>
+        </p>
+</div>
+<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
+<td align="left"></td>
+<td align="right"><div class="copyright-footer">Copyright &#169; 2002-2012 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 http://www.boost.org/LICENSE_1_0.txt)
+      </p>
+</div></td>
+</tr></table>
+<hr>
+<div class="spirit-nav">
+<a accesskey="p" href="cpp_int.html"><img src="../../../images/prev.png" alt="Prev"></a><a accesskey="u" href="../ints.html"><img src="../../../images/up.png" alt="Up"></a><a accesskey="h" href="../../../index.html"><img src="../../../images/home.png" alt="Home"></a><a accesskey="n" href="tom_int.html"><img src="../../../images/next.png" alt="Next"></a>
+</div>
+</body>
+</html>

Added: sandbox/big_number/libs/multiprecision/doc/html/boost_multiprecision/tut/ints/tom_int.html
==============================================================================
--- (empty file)
+++ sandbox/big_number/libs/multiprecision/doc/html/boost_multiprecision/tut/ints/tom_int.html	2012-03-30 14:35:38 EDT (Fri, 30 Mar 2012)
@@ -0,0 +1,119 @@
+<html>
+<head>
+<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
+<title>tom_int</title>
+<link rel="stylesheet" href="http://www.boost.org/doc/libs/release/doc/src/boostbook.css" type="text/css">
+<meta name="generator" content="DocBook XSL Stylesheets V1.76.1">
+<link rel="home" href="../../../index.html" title="Chapter&#160;1.&#160;Boost.Multiprecision">
+<link rel="up" href="../ints.html" title="Integer Types">
+<link rel="prev" href="gmp_int.html" title="gmp_int">
+<link rel="next" href="../floats.html" title="Floating Point Numbers">
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+</div>
+<div class="section boost_multiprecision_tut_ints_tom_int">
+<div class="titlepage"><div><div><h4 class="title">
+<a name="boost_multiprecision.tut.ints.tom_int"></a><a class="link" href="tom_int.html" title="tom_int">tom_int</a>
+</h4></div></div></div>
+<p>
+          <code class="computeroutput"><span class="preprocessor">#include</span> <span class="special">&lt;</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">multiprecision</span><span class="special">/</span><span class="identifier">tommath</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">&gt;</span></code>
+        </p>
+<pre class="programlisting"><span class="keyword">namespace</span> <span class="identifier">boost</span><span class="special">{</span> <span class="keyword">namespace</span> <span class="identifier">multiprecision</span><span class="special">{</span>
+
+<span class="keyword">class</span> <span class="identifier">tommath_int</span><span class="special">;</span>
+
+<span class="keyword">typedef</span> <span class="identifier">mp_number</span><span class="special">&lt;</span><span class="identifier">tommath_int</span> <span class="special">&gt;</span>         <span class="identifier">tom_int</span><span class="special">;</span>
+
+<span class="special">}}</span> <span class="comment">// namespaces</span>
+</pre>
+<p>
+          The <code class="computeroutput"><span class="identifier">tommath_int</span></code> back-end
+          is used via the typedef <code class="computeroutput"><span class="identifier">boost</span><span class="special">::</span><span class="identifier">multiprecision</span><span class="special">::</span><span class="identifier">tom_int</span></code>.
+          It acts as a thin wrapper around the libtommath
+          <code class="computeroutput"><span class="identifier">tom_int</span></code> to provide an integer
+          type that is a drop-in replacement for the native C++ integer types, but
+          with unlimited precision.
+        </p>
+<p>
+          Things you should know when using this type:
+        </p>
+<div class="itemizedlist"><ul class="itemizedlist" type="disc">
+<li class="listitem">
+              Default constructed objects have the value zero (this is libtommath's
+              default behavior).
+            </li>
+<li class="listitem">
+              Although <code class="computeroutput"><span class="identifier">tom_int</span></code> is
+              mostly a drop in replacement for the builtin integer types, it should
+              be noted that it is a rather strange beast as it's a signed type that
+              is not a 2's complement type. As a result the bitwise operations <code class="computeroutput"><span class="special">|</span> <span class="special">&amp;</span> <span class="special">^</span></code> will throw a <code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">runtime_error</span></code>
+              exception if either of the arguments is negative. Similarly the complement
+              operator<code class="computeroutput"><span class="special">~</span></code> is deliberately
+              not implemented for this type.
+            </li>
+<li class="listitem">
+              Formatted IO for this type does not support octal or hexadecimal notation
+              for negative values, as a result performing formatted output on this
+              type when the argument is negative and either of the flags <code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">ios_base</span><span class="special">::</span><span class="identifier">oct</span></code> or <code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">ios_base</span><span class="special">::</span><span class="identifier">hex</span></code>
+              are set, will result in a <code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">runtime_error</span></code>
+              will be thrown.
+            </li>
+<li class="listitem">
+              Division by zero will result in a hardware signal being raised by
+              libtommath.
+            </li>
+</ul></div>
+<h6>
+<a name="boost_multiprecision.tut.ints.tom_int.h0"></a>
+          <span><a name="boost_multiprecision.tut.ints.tom_int.example_"></a></span><a class="link" href="tom_int.html#boost_multiprecision.tut.ints.tom_int.example_">Example:</a>
+        </h6>
+<p>
+</p>
+<pre class="programlisting"><span class="preprocessor">#include</span> <span class="special">&lt;</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">multiprecision</span><span class="special">/</span><span class="identifier">tommath</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">&gt;</span>
+
+<span class="identifier">boost</span><span class="special">::</span><span class="identifier">multiprecision</span><span class="special">::</span><span class="identifier">tom_int</span> <span class="identifier">v</span> <span class="special">=</span> <span class="number">1</span><span class="special">;</span>
+
+<span class="comment">// Do some arithmetic:</span>
+<span class="keyword">for</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">i</span> <span class="special">=</span> <span class="number">1</span><span class="special">;</span> <span class="identifier">i</span> <span class="special">&lt;=</span> <span class="number">1000</span><span class="special">;</span> <span class="special">++</span><span class="identifier">i</span><span class="special">)</span>
+   <span class="identifier">v</span> <span class="special">*=</span> <span class="identifier">i</span><span class="special">;</span>
+
+<span class="identifier">std</span><span class="special">::</span><span class="identifier">cout</span> <span class="special">&lt;&lt;</span> <span class="identifier">v</span> <span class="special">&lt;&lt;</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">endl</span><span class="special">;</span> <span class="comment">// prints 1000!</span>
+<span class="identifier">std</span><span class="special">::</span><span class="identifier">cout</span> <span class="special">&lt;&lt;</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">hex</span> <span class="special">&lt;&lt;</span> <span class="identifier">v</span> <span class="special">&lt;&lt;</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">endl</span><span class="special">;</span> <span class="comment">// prints 1000! in hex format</span>
+
+<span class="keyword">try</span><span class="special">{</span>
+   <span class="identifier">std</span><span class="special">::</span><span class="identifier">cout</span> <span class="special">&lt;&lt;</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">hex</span> <span class="special">&lt;&lt;</span> <span class="special">-</span><span class="identifier">v</span> <span class="special">&lt;&lt;</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">endl</span><span class="special">;</span> <span class="comment">// Ooops! can't print a negative value in hex format!</span>
+<span class="special">}</span>
+<span class="keyword">catch</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">runtime_error</span><span class="special">&amp;</span> <span class="identifier">e</span><span class="special">)</span>
+<span class="special">{</span>
+   <span class="identifier">std</span><span class="special">::</span><span class="identifier">cout</span> <span class="special">&lt;&lt;</span> <span class="identifier">e</span><span class="special">.</span><span class="identifier">what</span><span class="special">()</span> <span class="special">&lt;&lt;</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">endl</span><span class="special">;</span>
+<span class="special">}</span>
+
+<span class="keyword">try</span><span class="special">{</span>
+   <span class="comment">// v is not a 2's complement type, bitwise operations are only supported</span>
+   <span class="comment">// on positive values:</span>
+   <span class="identifier">v</span> <span class="special">=</span> <span class="special">-</span><span class="identifier">v</span> <span class="special">&amp;</span> <span class="number">2</span><span class="special">;</span>
+<span class="special">}</span>
+<span class="keyword">catch</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">runtime_error</span><span class="special">&amp;</span> <span class="identifier">e</span><span class="special">)</span>
+<span class="special">{</span>
+   <span class="identifier">std</span><span class="special">::</span><span class="identifier">cout</span> <span class="special">&lt;&lt;</span> <span class="identifier">e</span><span class="special">.</span><span class="identifier">what</span><span class="special">()</span> <span class="special">&lt;&lt;</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">endl</span><span class="special">;</span>
+<span class="special">}</span>
+</pre>
+<p>
+        </p>
+</div>
+<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
+<td align="left"></td>
+<td align="right"><div class="copyright-footer">Copyright &#169; 2002-2012 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 http://www.boost.org/LICENSE_1_0.txt)
+      </p>
+</div></td>
+</tr></table>
+<hr>
+<div class="spirit-nav">
+<a accesskey="p" href="gmp_int.html"><img src="../../../images/prev.png" alt="Prev"></a><a accesskey="u" href="../ints.html"><img src="../../../images/up.png" alt="Up"></a><a accesskey="h" href="../../../index.html"><img src="../../../images/home.png" alt="Home"></a><a accesskey="n" href="../floats.html"><img src="../../../images/next.png" alt="Next"></a>
+</div>
+</body>
+</html>

Added: sandbox/big_number/libs/multiprecision/doc/html/boost_multiprecision/tut/primetest.html
==============================================================================
--- (empty file)
+++ sandbox/big_number/libs/multiprecision/doc/html/boost_multiprecision/tut/primetest.html	2012-03-30 14:35:38 EDT (Fri, 30 Mar 2012)
@@ -0,0 +1,108 @@
+<html>
+<head>
+<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
+<title>Primality Testing</title>
+<link rel="stylesheet" href="http://www.boost.org/doc/libs/release/doc/src/boostbook.css" type="text/css">
+<meta name="generator" content="DocBook XSL Stylesheets V1.76.1">
+<link rel="home" href="../../index.html" title="Chapter&#160;1.&#160;Boost.Multiprecision">
+<link rel="up" href="../tut.html" title="Tutorial">
+<link rel="prev" href="random.html" title="Generating Random Numbers">
+<link rel="next" href="../ref.html" title="Reference">
+</head>
+<body bgcolor="white" text="black" link="#0000FF" vlink="#840084" alink="#0000FF">
+<div class="spirit-nav">
+<a accesskey="p" href="random.html"><img src="../../images/prev.png" alt="Prev"></a><a accesskey="u" href="../tut.html"><img src="../../images/up.png" alt="Up"></a><a accesskey="h" href="../../index.html"><img src="../../images/home.png" alt="Home"></a><a accesskey="n" href="../ref.html"><img src="../../images/next.png" alt="Next"></a>
+</div>
+<div class="section boost_multiprecision_tut_primetest">
+<div class="titlepage"><div><div><h3 class="title">
+<a name="boost_multiprecision.tut.primetest"></a><a class="link" href="primetest.html" title="Primality Testing">Primality Testing</a>
+</h3></div></div></div>
+<p>
+        The library implements a fairly basic (meaning unoptimized, and possibly
+        slow) Miller-Rabin test for primality:
+      </p>
+<pre class="programlisting"><span class="preprocessor">#include</span> <span class="special">&lt;</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">multiprecision</span><span class="special">/</span><span class="identifier">miller_rabin</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">&gt;</span>
+
+<span class="keyword">template</span> <span class="special">&lt;</span><span class="keyword">class</span> <span class="identifier">Backend</span><span class="special">,</span> <span class="keyword">bool</span> <span class="identifier">ExpressionTemplates</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">Engine</span><span class="special">&gt;</span>
+<span class="keyword">bool</span> <span class="identifier">miller_rabin_test</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">mp_number</span><span class="special">&lt;</span><span class="identifier">Backend</span><span class="special">,</span> <span class="identifier">ExpressionTemplates</span><span class="special">&gt;&amp;</span> <span class="identifier">n</span><span class="special">,</span> <span class="keyword">unsigned</span> <span class="identifier">trials</span><span class="special">,</span> <span class="identifier">Engine</span><span class="special">&amp;</span> <span class="identifier">gen</span><span class="special">);</span>
+
+<span class="keyword">template</span> <span class="special">&lt;</span><span class="keyword">class</span> <span class="identifier">Backend</span><span class="special">,</span> <span class="keyword">bool</span> <span class="identifier">ExpressionTemplates</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">Engine</span><span class="special">&gt;</span>
+<span class="keyword">bool</span> <span class="identifier">miller_rabin_test</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">mp_number</span><span class="special">&lt;</span><span class="identifier">Backend</span><span class="special">,</span> <span class="identifier">ExpressionTemplates</span><span class="special">&gt;&amp;</span> <span class="identifier">n</span><span class="special">,</span> <span class="keyword">unsigned</span> <span class="identifier">trials</span><span class="special">);</span>
+</pre>
+<p>
+        These functions perform a Miller-Rabin test for primality, if the result
+        is <code class="computeroutput"><span class="keyword">false</span></code> then <span class="emphasis"><em>n</em></span>
+        is definitely composite, while if the result is <code class="computeroutput"><span class="keyword">true</span></code>
+        then <span class="emphasis"><em>n</em></span> is prime with probability <span class="emphasis"><em>0.25^trials</em></span>.
+        The algorithm used is straight out of Knuth Vol 2, which recomends 25 trials
+        for a pretty strong likelyhood that <span class="emphasis"><em>n</em></span> is prime.
+      </p>
+<p>
+        The third optional argument is for a Uniform Random Number Generator from
+        Boost.Random. When not provided the <code class="computeroutput"><span class="identifier">mt19937</span></code>
+        generator is used. Note that when producing random primes then you should
+        probably use a different random number generator to produce candidate prime
+        numbers for testing, than is used internally by <code class="computeroutput"><span class="identifier">miller_rabin_test</span></code>
+        for determining whether the value is prime. It also helps of course to seed
+        the generators with some source of randomness.
+      </p>
+<p>
+        The following example searches for a prime <code class="computeroutput"><span class="identifier">p</span></code>
+        for which <code class="computeroutput"><span class="special">(</span><span class="identifier">p</span><span class="special">-</span><span class="number">1</span><span class="special">)/</span><span class="number">2</span></code> is also probably prime:
+      </p>
+<p>
+</p>
+<pre class="programlisting"><span class="preprocessor">#include</span> <span class="special">&lt;</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">multiprecision</span><span class="special">/</span><span class="identifier">cpp_int</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">&gt;</span>
+<span class="preprocessor">#include</span> <span class="special">&lt;</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">multiprecision</span><span class="special">/</span><span class="identifier">miller_rabin</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">&gt;</span>
+<span class="preprocessor">#include</span> <span class="special">&lt;</span><span class="identifier">iostream</span><span class="special">&gt;</span>
+<span class="preprocessor">#include</span> <span class="special">&lt;</span><span class="identifier">iomanip</span><span class="special">&gt;</span>
+
+<span class="keyword">int</span> <span class="identifier">main</span><span class="special">()</span>
+<span class="special">{</span>
+   <span class="keyword">using</span> <span class="keyword">namespace</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">random</span><span class="special">;</span>
+   <span class="keyword">using</span> <span class="keyword">namespace</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">multiprecision</span><span class="special">;</span>
+
+   <span class="keyword">typedef</span> <span class="identifier">cpp_int</span> <span class="identifier">int_type</span><span class="special">;</span>
+   <span class="identifier">mt11213b</span> <span class="identifier">base_gen</span><span class="special">(</span><span class="identifier">clock</span><span class="special">());</span>
+   <span class="identifier">independent_bits_engine</span><span class="special">&lt;</span><span class="identifier">mt11213b</span><span class="special">,</span> <span class="number">256</span><span class="special">,</span> <span class="identifier">int_type</span><span class="special">&gt;</span> <span class="identifier">gen</span><span class="special">(</span><span class="identifier">base_gen</span><span class="special">);</span>
+   <span class="comment">//</span>
+   <span class="comment">// We must use a different generator for the tests and number generation, otherwise</span>
+   <span class="comment">// we get false positives.</span>
+   <span class="comment">//</span>
+   <span class="identifier">mt19937</span> <span class="identifier">gen2</span><span class="special">(</span><span class="identifier">clock</span><span class="special">());</span>
+
+   <span class="keyword">for</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">i</span> <span class="special">=</span> <span class="number">0</span><span class="special">;</span> <span class="identifier">i</span> <span class="special">&lt;</span> <span class="number">100000</span><span class="special">;</span> <span class="special">++</span><span class="identifier">i</span><span class="special">)</span>
+   <span class="special">{</span>
+      <span class="identifier">int_type</span> <span class="identifier">n</span> <span class="special">=</span> <span class="identifier">gen</span><span class="special">();</span>
+      <span class="keyword">if</span><span class="special">(</span><span class="identifier">miller_rabin_test</span><span class="special">(</span><span class="identifier">n</span><span class="special">,</span> <span class="number">25</span><span class="special">,</span> <span class="identifier">gen2</span><span class="special">))</span>
+      <span class="special">{</span>
+         <span class="comment">// Value n is probably prime, see if (n-1)/2 is also prime:</span>
+         <span class="identifier">std</span><span class="special">::</span><span class="identifier">cout</span> <span class="special">&lt;&lt;</span> <span class="string">"We have a probable prime with value: "</span> <span class="special">&lt;&lt;</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">hex</span> <span class="special">&lt;&lt;</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">showbase</span> <span class="special">&lt;&lt;</span> <span class="identifier">n</span> <span class="special">&lt;&lt;</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">endl</span><span class="special">;</span>
+         <span class="keyword">if</span><span class="special">(</span><span class="identifier">miller_rabin_test</span><span class="special">((</span><span class="identifier">n</span><span class="special">-</span><span class="number">1</span><span class="special">)/</span><span class="number">2</span><span class="special">,</span> <span class="number">25</span><span class="special">,</span> <span class="identifier">gen2</span><span class="special">))</span>
+         <span class="special">{</span>
+            <span class="identifier">std</span><span class="special">::</span><span class="identifier">cout</span> <span class="special">&lt;&lt;</span> <span class="string">"We have a safe prime with value: "</span> <span class="special">&lt;&lt;</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">hex</span> <span class="special">&lt;&lt;</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">showbase</span> <span class="special">&lt;&lt;</span> <span class="identifier">n</span> <span class="special">&lt;&lt;</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">endl</span><span class="special">;</span>
+            <span class="keyword">return</span> <span class="number">0</span><span class="special">;</span>
+         <span class="special">}</span>
+      <span class="special">}</span>
+   <span class="special">}</span>
+   <span class="identifier">std</span><span class="special">::</span><span class="identifier">cout</span> <span class="special">&lt;&lt;</span> <span class="string">"Ooops, no safe primes were found"</span> <span class="special">&lt;&lt;</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">endl</span><span class="special">;</span>
+   <span class="keyword">return</span> <span class="number">1</span><span class="special">;</span>
+<span class="special">}</span>
+</pre>
+<p>
+      </p>
+</div>
+<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
+<td align="left"></td>
+<td align="right"><div class="copyright-footer">Copyright &#169; 2002-2012 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 http://www.boost.org/LICENSE_1_0.txt)
+      </p>
+</div></td>
+</tr></table>
+<hr>
+<div class="spirit-nav">
+<a accesskey="p" href="random.html"><img src="../../images/prev.png" alt="Prev"></a><a accesskey="u" href="../tut.html"><img src="../../images/up.png" alt="Up"></a><a accesskey="h" href="../../index.html"><img src="../../images/home.png" alt="Home"></a><a accesskey="n" href="../ref.html"><img src="../../images/next.png" alt="Next"></a>
+</div>
+</body>
+</html>

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--- (empty file)
+++ sandbox/big_number/libs/multiprecision/doc/html/boost_multiprecision/tut/random.html	2012-03-30 14:35:38 EDT (Fri, 30 Mar 2012)
@@ -0,0 +1,157 @@
+<html>
+<head>
+<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
+<title>Generating Random Numbers</title>
+<link rel="stylesheet" href="http://www.boost.org/doc/libs/release/doc/src/boostbook.css" type="text/css">
+<meta name="generator" content="DocBook XSL Stylesheets V1.76.1">
+<link rel="home" href="../../index.html" title="Chapter&#160;1.&#160;Boost.Multiprecision">
+<link rel="up" href="../tut.html" title="Tutorial">
+<link rel="prev" href="conversions.html" title="Constructing and Interconverting Between Number Types">
+<link rel="next" href="primetest.html" title="Primality Testing">
+</head>
+<body bgcolor="white" text="black" link="#0000FF" vlink="#840084" alink="#0000FF">
+<div class="spirit-nav">
+<a accesskey="p" href="conversions.html"><img src="../../images/prev.png" alt="Prev"></a><a accesskey="u" href="../tut.html"><img src="../../images/up.png" alt="Up"></a><a accesskey="h" href="../../index.html"><img src="../../images/home.png" alt="Home"></a><a accesskey="n" href="primetest.html"><img src="../../images/next.png" alt="Next"></a>
+</div>
+<div class="section boost_multiprecision_tut_random">
+<div class="titlepage"><div><div><h3 class="title">
+<a name="boost_multiprecision.tut.random"></a><a class="link" href="random.html" title="Generating Random Numbers">Generating Random Numbers</a>
+</h3></div></div></div>
+<p>
+        Random numbers are generated in conjunction with Boost.Random. However, since
+        Boost.Random is unaware of <a href="http://en.wikipedia.org/wiki/Arbitrary-precision_arithmetic" target="_top">arbitrary
+        precision</a> numbers, it's necessary to include the header:
+      </p>
+<pre class="programlisting"><span class="preprocessor">#include</span> <span class="special">&lt;</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">multiprecision</span><span class="special">/</span><span class="identifier">random</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">&gt;</span>
+</pre>
+<p>
+        In order to act as a bridge between the two libraries.
+      </p>
+<p>
+        Integers with <span class="emphasis"><em>N</em></span> random bits are generated using <code class="computeroutput"><span class="identifier">independent_bits_engine</span></code>:
+      </p>
+<p>
+</p>
+<pre class="programlisting"><span class="preprocessor">#include</span> <span class="special">&lt;</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">multiprecision</span><span class="special">/</span><span class="identifier">gmp</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">&gt;</span>
+<span class="preprocessor">#include</span> <span class="special">&lt;</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">multiprecision</span><span class="special">/</span><span class="identifier">random</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">&gt;</span>
+
+<span class="keyword">using</span> <span class="keyword">namespace</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">multiprecision</span><span class="special">;</span>
+<span class="keyword">using</span> <span class="keyword">namespace</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">random</span><span class="special">;</span>
+
+<span class="comment">//</span>
+<span class="comment">// Declare our random number generator type, the underlying generator</span>
+<span class="comment">// is the Mersenne twister mt19937 engine, and 256 bits are generated:</span>
+<span class="comment">//</span>
+<span class="keyword">typedef</span> <span class="identifier">independent_bits_engine</span><span class="special">&lt;</span><span class="identifier">mt19937</span><span class="special">,</span> <span class="number">256</span><span class="special">,</span> <span class="identifier">mpz_int</span><span class="special">&gt;</span> <span class="identifier">generator_type</span><span class="special">;</span>
+<span class="identifier">generator_type</span> <span class="identifier">gen</span><span class="special">;</span>
+<span class="comment">//</span>
+<span class="comment">// Generate some values:</span>
+<span class="comment">//</span>
+<span class="identifier">std</span><span class="special">::</span><span class="identifier">cout</span> <span class="special">&lt;&lt;</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">hex</span> <span class="special">&lt;&lt;</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">showbase</span><span class="special">;</span>
+<span class="keyword">for</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">i</span> <span class="special">=</span> <span class="number">0</span><span class="special">;</span> <span class="identifier">i</span> <span class="special">&lt;</span> <span class="number">10</span><span class="special">;</span> <span class="special">++</span><span class="identifier">i</span><span class="special">)</span>
+   <span class="identifier">std</span><span class="special">::</span><span class="identifier">cout</span> <span class="special">&lt;&lt;</span> <span class="identifier">gen</span><span class="special">()</span> <span class="special">&lt;&lt;</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">endl</span><span class="special">;</span>
+</pre>
+<p>
+      </p>
+<p>
+        Alternatively we can generate integers in a given range using <code class="computeroutput"><span class="identifier">uniform_int_distribution</span></code>, this will invoke
+        the underlying engine multiple times to build up the required number of bits
+        in the result:
+      </p>
+<p>
+</p>
+<pre class="programlisting"><span class="preprocessor">#include</span> <span class="special">&lt;</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">multiprecision</span><span class="special">/</span><span class="identifier">gmp</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">&gt;</span>
+<span class="preprocessor">#include</span> <span class="special">&lt;</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">multiprecision</span><span class="special">/</span><span class="identifier">random</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">&gt;</span>
+
+<span class="keyword">using</span> <span class="keyword">namespace</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">multiprecision</span><span class="special">;</span>
+<span class="keyword">using</span> <span class="keyword">namespace</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">random</span><span class="special">;</span>
+
+<span class="comment">//</span>
+<span class="comment">// Generate integers in a given range using uniform_int,</span>
+<span class="comment">// the underlying generator is invoked multiple times</span>
+<span class="comment">// to generate enough bits:</span>
+<span class="comment">//</span>
+<span class="identifier">mt19937</span> <span class="identifier">mt</span><span class="special">;</span>
+<span class="identifier">uniform_int_distribution</span><span class="special">&lt;</span><span class="identifier">mpz_int</span><span class="special">&gt;</span> <span class="identifier">ui</span><span class="special">(</span><span class="number">0</span><span class="special">,</span> <span class="identifier">mpz_int</span><span class="special">(</span><span class="number">1</span><span class="special">)</span> <span class="special">&lt;&lt;</span> <span class="number">256</span><span class="special">);</span>
+<span class="comment">//</span>
+<span class="comment">// Generate the numbers:</span>
+<span class="comment">//</span>
+<span class="identifier">std</span><span class="special">::</span><span class="identifier">cout</span> <span class="special">&lt;&lt;</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">hex</span> <span class="special">&lt;&lt;</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">showbase</span><span class="special">;</span>
+<span class="keyword">for</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">i</span> <span class="special">=</span> <span class="number">0</span><span class="special">;</span> <span class="identifier">i</span> <span class="special">&lt;</span> <span class="number">10</span><span class="special">;</span> <span class="special">++</span><span class="identifier">i</span><span class="special">)</span>
+   <span class="identifier">std</span><span class="special">::</span><span class="identifier">cout</span> <span class="special">&lt;&lt;</span> <span class="identifier">ui</span><span class="special">(</span><span class="identifier">mt</span><span class="special">)</span> <span class="special">&lt;&lt;</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">endl</span><span class="special">;</span>
+</pre>
+<p>
+      </p>
+<p>
+        Floating point values in [0,1) are generated using <code class="computeroutput"><span class="identifier">uniform_01</span></code>,
+        the trick here is to ensure that the underlying generator produces as many
+        random bits as there are digits in the floating point type. As above <code class="computeroutput"><span class="identifier">independent_bits_engine</span></code> can be used for
+        this purpose, note that we also have to convert decimal digits (in the floating
+        point type) to bits (in the random number generator):
+      </p>
+<p>
+</p>
+<pre class="programlisting"><span class="preprocessor">#include</span> <span class="special">&lt;</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">multiprecision</span><span class="special">/</span><span class="identifier">gmp</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">&gt;</span>
+<span class="preprocessor">#include</span> <span class="special">&lt;</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">multiprecision</span><span class="special">/</span><span class="identifier">random</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">&gt;</span>
+
+<span class="keyword">using</span> <span class="keyword">namespace</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">multiprecision</span><span class="special">;</span>
+<span class="keyword">using</span> <span class="keyword">namespace</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">random</span><span class="special">;</span>
+<span class="comment">//</span>
+<span class="comment">// We need an underlying generator with at least as many bits as the</span>
+<span class="comment">// floating point type to generate numbers in [0, 1) with all the bits</span>
+<span class="comment">// in the floating point type randomly filled:</span>
+<span class="comment">//</span>
+<span class="identifier">uniform_01</span><span class="special">&lt;</span><span class="identifier">mpf_float_50</span><span class="special">&gt;</span> <span class="identifier">uf</span><span class="special">;</span>
+<span class="identifier">independent_bits_engine</span><span class="special">&lt;</span><span class="identifier">mt19937</span><span class="special">,</span> <span class="number">50L</span><span class="special">*</span><span class="number">1000L</span><span class="special">/</span><span class="number">301L</span><span class="special">,</span> <span class="identifier">mpz_int</span><span class="special">&gt;</span> <span class="identifier">gen</span><span class="special">;</span>
+<span class="comment">//</span>
+<span class="comment">// Generate the values:</span>
+<span class="comment">//</span>
+<span class="identifier">std</span><span class="special">::</span><span class="identifier">cout</span> <span class="special">&lt;&lt;</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">setprecision</span><span class="special">(</span><span class="number">50</span><span class="special">);</span>
+<span class="keyword">for</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">i</span> <span class="special">=</span> <span class="number">0</span><span class="special">;</span> <span class="identifier">i</span> <span class="special">&lt;</span> <span class="number">20</span><span class="special">;</span> <span class="special">++</span><span class="identifier">i</span><span class="special">)</span>
+   <span class="identifier">std</span><span class="special">::</span><span class="identifier">cout</span> <span class="special">&lt;&lt;</span> <span class="identifier">uf</span><span class="special">(</span><span class="identifier">gen</span><span class="special">)</span> <span class="special">&lt;&lt;</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">endl</span><span class="special">;</span>
+</pre>
+<p>
+      </p>
+<p>
+        Finally, we can modify the above example to produce numbers distributed according
+        to some distribution:
+      </p>
+<p>
+</p>
+<pre class="programlisting"><span class="preprocessor">#include</span> <span class="special">&lt;</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">multiprecision</span><span class="special">/</span><span class="identifier">gmp</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">&gt;</span>
+<span class="preprocessor">#include</span> <span class="special">&lt;</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">multiprecision</span><span class="special">/</span><span class="identifier">random</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">&gt;</span>
+
+<span class="keyword">using</span> <span class="keyword">namespace</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">multiprecision</span><span class="special">;</span>
+<span class="keyword">using</span> <span class="keyword">namespace</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">random</span><span class="special">;</span>
+<span class="comment">//</span>
+<span class="comment">// We can repeat the above example, with other distributions:</span>
+<span class="comment">//</span>
+<span class="identifier">uniform_real_distribution</span><span class="special">&lt;</span><span class="identifier">mpf_float_50</span><span class="special">&gt;</span> <span class="identifier">ur</span><span class="special">(-</span><span class="number">20</span><span class="special">,</span> <span class="number">20</span><span class="special">);</span>
+<span class="identifier">gamma_distribution</span><span class="special">&lt;</span><span class="identifier">mpf_float_50</span><span class="special">&gt;</span> <span class="identifier">gd</span><span class="special">(</span><span class="number">20</span><span class="special">);</span>
+<span class="identifier">independent_bits_engine</span><span class="special">&lt;</span><span class="identifier">mt19937</span><span class="special">,</span> <span class="number">50L</span><span class="special">*</span><span class="number">1000L</span><span class="special">/</span><span class="number">301L</span><span class="special">,</span> <span class="identifier">mpz_int</span><span class="special">&gt;</span> <span class="identifier">gen</span><span class="special">;</span>
+<span class="comment">//</span>
+<span class="comment">// Generate some values:</span>
+<span class="comment">//</span>
+<span class="identifier">std</span><span class="special">::</span><span class="identifier">cout</span> <span class="special">&lt;&lt;</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">setprecision</span><span class="special">(</span><span class="number">50</span><span class="special">);</span>
+<span class="keyword">for</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">i</span> <span class="special">=</span> <span class="number">0</span><span class="special">;</span> <span class="identifier">i</span> <span class="special">&lt;</span> <span class="number">20</span><span class="special">;</span> <span class="special">++</span><span class="identifier">i</span><span class="special">)</span>
+   <span class="identifier">std</span><span class="special">::</span><span class="identifier">cout</span> <span class="special">&lt;&lt;</span> <span class="identifier">ur</span><span class="special">(</span><span class="identifier">gen</span><span class="special">)</span> <span class="special">&lt;&lt;</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">endl</span><span class="special">;</span>
+<span class="keyword">for</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">i</span> <span class="special">=</span> <span class="number">0</span><span class="special">;</span> <span class="identifier">i</span> <span class="special">&lt;</span> <span class="number">20</span><span class="special">;</span> <span class="special">++</span><span class="identifier">i</span><span class="special">)</span>
+   <span class="identifier">std</span><span class="special">::</span><span class="identifier">cout</span> <span class="special">&lt;&lt;</span> <span class="identifier">gd</span><span class="special">(</span><span class="identifier">gen</span><span class="special">)</span> <span class="special">&lt;&lt;</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">endl</span><span class="special">;</span>
+</pre>
+<p>
+      </p>
+</div>
+<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
+<td align="left"></td>
+<td align="right"><div class="copyright-footer">Copyright &#169; 2002-2012 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 http://www.boost.org/LICENSE_1_0.txt)
+      </p>
+</div></td>
+</tr></table>
+<hr>
+<div class="spirit-nav">
+<a accesskey="p" href="conversions.html"><img src="../../images/prev.png" alt="Prev"></a><a accesskey="u" href="../tut.html"><img src="../../images/up.png" alt="Up"></a><a accesskey="h" href="../../index.html"><img src="../../images/home.png" alt="Home"></a><a accesskey="n" href="primetest.html"><img src="../../images/next.png" alt="Next"></a>
+</div>
+</body>
+</html>

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+++ sandbox/big_number/libs/multiprecision/doc/html/boost_multiprecision/tut/rational.html	2012-03-30 14:35:38 EDT (Fri, 30 Mar 2012)
@@ -0,0 +1,252 @@
+<html>
+<head>
+<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
+<title>Rational Number Types</title>
+<link rel="stylesheet" href="http://www.boost.org/doc/libs/release/doc/src/boostbook.css" type="text/css">
+<meta name="generator" content="DocBook XSL Stylesheets V1.76.1">
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+<link rel="up" href="../tut.html" title="Tutorial">
+<link rel="prev" href="floats/cpp_dec_float.html" title="cpp_dec_float">
+<link rel="next" href="rational/gmp_rational.html" title="gmp_rational">
+</head>
+<body bgcolor="white" text="black" link="#0000FF" vlink="#840084" alink="#0000FF">
+<div class="spirit-nav">
+<a accesskey="p" href="floats/cpp_dec_float.html"><img src="../../images/prev.png" alt="Prev"></a><a accesskey="u" href="../tut.html"><img src="../../images/up.png" alt="Up"></a><a accesskey="h" href="../../index.html"><img src="../../images/home.png" alt="Home"></a><a accesskey="n" href="rational/gmp_rational.html"><img src="../../images/next.png" alt="Next"></a>
+</div>
+<div class="section boost_multiprecision_tut_rational">
+<div class="titlepage"><div><div><h3 class="title">
+<a name="boost_multiprecision.tut.rational"></a><a class="link" href="rational.html" title="Rational Number Types">Rational Number Types</a>
+</h3></div></div></div>
+<div class="toc"><dl>
+<dt><span class="section">gmp_rational</span></dt>
+<dt><span class="section">cpp_rational</span></dt>
+<dt><span class="section">tommath_rational</span></dt>
+<dt><span class="section">Use With Boost.Rational</span></dt>
+<dt><span class="section">rational_adapter</span></dt>
+</dl></div>
+<p>
+        The following back-ends provide rational number arithmetic:
+      </p>
+<div class="informaltable"><table class="table">
+<colgroup>
+<col>
+<col>
+<col>
+<col>
+<col>
+<col>
+</colgroup>
+<thead><tr>
+<th>
+                <p>
+                  Backend Type
+                </p>
+              </th>
+<th>
+                <p>
+                  Header
+                </p>
+              </th>
+<th>
+                <p>
+                  Radix
+                </p>
+              </th>
+<th>
+                <p>
+                  Dependencies
+                </p>
+              </th>
+<th>
+                <p>
+                  Pros
+                </p>
+              </th>
+<th>
+                <p>
+                  Cons
+                </p>
+              </th>
+</tr></thead>
+<tbody>
+<tr>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="identifier">gmp_rational</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  boost/multiprecision/gmp.hpp
+                </p>
+              </td>
+<td>
+                <p>
+                  2
+                </p>
+              </td>
+<td>
+                <p>
+                  GMP
+                </p>
+              </td>
+<td>
+                <p>
+                  Very fast and efficient back-end.
+                </p>
+              </td>
+<td>
+                <p>
+                  Dependency on GNU licensed GMP
+                  library.
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="identifier">cpp_rational</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  boost/multiprecision/cpp_int.hpp
+                </p>
+              </td>
+<td>
+                <p>
+                  2
+                </p>
+              </td>
+<td>
+                <p>
+                  None
+                </p>
+              </td>
+<td>
+                <p>
+                  An all C++ Boost-licensed implementation.
+                </p>
+              </td>
+<td>
+                <p>
+                  Slower than GMP.
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="identifier">tommath_rational</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  boost/multiprecision/tommath.hpp
+                </p>
+              </td>
+<td>
+                <p>
+                  2
+                </p>
+              </td>
+<td>
+                <p>
+                  libtommath
+                </p>
+              </td>
+<td>
+                <p>
+                  All C/C++ implementation that's Boost Software Licence compatible.
+                </p>
+              </td>
+<td>
+                <p>
+                  Slower than GMP.
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="identifier">rational_adapter</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  boost/multiprecision/rational_adapter.hpp
+                </p>
+              </td>
+<td>
+                <p>
+                  N/A
+                </p>
+              </td>
+<td>
+                <p>
+                  none
+                </p>
+              </td>
+<td>
+                <p>
+                  All C++ adapter that allows any inetger back-end type to be used
+                  as a rational type.
+                </p>
+              </td>
+<td>
+                <p>
+                  Requires an underlying integer back-end type.
+                </p>
+              </td>
+</tr>
+<tr>
+<td>
+                <p>
+                  <code class="computeroutput"><span class="identifier">boost</span><span class="special">::</span><span class="identifier">rational</span></code>
+                </p>
+              </td>
+<td>
+                <p>
+                  boost/rational.hpp
+                </p>
+              </td>
+<td>
+                <p>
+                  N/A
+                </p>
+              </td>
+<td>
+                <p>
+                  None
+                </p>
+              </td>
+<td>
+                <p>
+                  A C++ rational number type that can used with any <code class="computeroutput"><span class="identifier">mp_number</span></code> integer type.
+                </p>
+              </td>
+<td>
+                <p>
+                  The expression templates used by <code class="computeroutput"><span class="identifier">mp_number</span></code>
+                  end up being "hidden" inside <code class="computeroutput"><span class="identifier">boost</span><span class="special">::</span><span class="identifier">rational</span></code>:
+                  performance may well suffer as a result.
+                </p>
+              </td>
+</tr>
+</tbody>
+</table></div>
+</div>
+<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
+<td align="left"></td>
+<td align="right"><div class="copyright-footer">Copyright &#169; 2002-2012 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 http://www.boost.org/LICENSE_1_0.txt)
+      </p>
+</div></td>
+</tr></table>
+<hr>
+<div class="spirit-nav">
+<a accesskey="p" href="floats/cpp_dec_float.html"><img src="../../images/prev.png" alt="Prev"></a><a accesskey="u" href="../tut.html"><img src="../../images/up.png" alt="Up"></a><a accesskey="h" href="../../index.html"><img src="../../images/home.png" alt="Home"></a><a accesskey="n" href="rational/gmp_rational.html"><img src="../../images/next.png" alt="Next"></a>
+</div>
+</body>
+</html>

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--- (empty file)
+++ sandbox/big_number/libs/multiprecision/doc/html/boost_multiprecision/tut/rational/br.html	2012-03-30 14:35:38 EDT (Fri, 30 Mar 2012)
@@ -0,0 +1,42 @@
+<html>
+<head>
+<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
+<title>Use With Boost.Rational</title>
+<link rel="stylesheet" href="http://www.boost.org/doc/libs/release/doc/src/boostbook.css" type="text/css">
+<meta name="generator" content="DocBook XSL Stylesheets V1.76.1">
+<link rel="home" href="../../../index.html" title="Chapter&#160;1.&#160;Boost.Multiprecision">
+<link rel="up" href="../rational.html" title="Rational Number Types">
+<link rel="prev" href="tommath_rational.html" title="tommath_rational">
+<link rel="next" href="rational_adapter.html" title="rational_adapter">
+</head>
+<body bgcolor="white" text="black" link="#0000FF" vlink="#840084" alink="#0000FF">
+<div class="spirit-nav">
+<a accesskey="p" href="tommath_rational.html"><img src="../../../images/prev.png" alt="Prev"></a><a accesskey="u" href="../rational.html"><img src="../../../images/up.png" alt="Up"></a><a accesskey="h" href="../../../index.html"><img src="../../../images/home.png" alt="Home"></a><a accesskey="n" href="rational_adapter.html"><img src="../../../images/next.png" alt="Next"></a>
+</div>
+<div class="section boost_multiprecision_tut_rational_br">
+<div class="titlepage"><div><div><h4 class="title">
+<a name="boost_multiprecision.tut.rational.br"></a><a class="link" href="br.html" title="Use With Boost.Rational">Use With Boost.Rational</a>
+</h4></div></div></div>
+<p>
+          All of the integer types in this library can be used as template arguments
+          to <code class="computeroutput"><span class="identifier">boost</span><span class="special">::</span><span class="identifier">rational</span><span class="special">&lt;</span><span class="identifier">IntType</span><span class="special">&gt;</span></code>.
+        </p>
+<p>
+          Note that using the library in this way largely negates the effect of the
+          expression templates in <code class="computeroutput"><span class="identifier">mp_number</span></code>.
+        </p>
+</div>
+<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
+<td align="left"></td>
+<td align="right"><div class="copyright-footer">Copyright &#169; 2002-2012 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 http://www.boost.org/LICENSE_1_0.txt)
+      </p>
+</div></td>
+</tr></table>
+<hr>
+<div class="spirit-nav">
+<a accesskey="p" href="tommath_rational.html"><img src="../../../images/prev.png" alt="Prev"></a><a accesskey="u" href="../rational.html"><img src="../../../images/up.png" alt="Up"></a><a accesskey="h" href="../../../index.html"><img src="../../../images/home.png" alt="Home"></a><a accesskey="n" href="rational_adapter.html"><img src="../../../images/next.png" alt="Next"></a>
+</div>
+</body>
+</html>

Added: sandbox/big_number/libs/multiprecision/doc/html/boost_multiprecision/tut/rational/cpp_rational.html
==============================================================================
--- (empty file)
+++ sandbox/big_number/libs/multiprecision/doc/html/boost_multiprecision/tut/rational/cpp_rational.html	2012-03-30 14:35:38 EDT (Fri, 30 Mar 2012)
@@ -0,0 +1,108 @@
+<html>
+<head>
+<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
+<title>cpp_rational</title>
+<link rel="stylesheet" href="http://www.boost.org/doc/libs/release/doc/src/boostbook.css" type="text/css">
+<meta name="generator" content="DocBook XSL Stylesheets V1.76.1">
+<link rel="home" href="../../../index.html" title="Chapter&#160;1.&#160;Boost.Multiprecision">
+<link rel="up" href="../rational.html" title="Rational Number Types">
+<link rel="prev" href="gmp_rational.html" title="gmp_rational">
+<link rel="next" href="tommath_rational.html" title="tommath_rational">
+</head>
+<body bgcolor="white" text="black" link="#0000FF" vlink="#840084" alink="#0000FF">
+<div class="spirit-nav">
+<a accesskey="p" href="gmp_rational.html"><img src="../../../images/prev.png" alt="Prev"></a><a accesskey="u" href="../rational.html"><img src="../../../images/up.png" alt="Up"></a><a accesskey="h" href="../../../index.html"><img src="../../../images/home.png" alt="Home"></a><a accesskey="n" href="tommath_rational.html"><img src="../../../images/next.png" alt="Next"></a>
+</div>
+<div class="section boost_multiprecision_tut_rational_cpp_rational">
+<div class="titlepage"><div><div><h4 class="title">
+<a name="boost_multiprecision.tut.rational.cpp_rational"></a><a class="link" href="cpp_rational.html" title="cpp_rational">cpp_rational</a>
+</h4></div></div></div>
+<p>
+          <code class="computeroutput"><span class="preprocessor">#include</span> <span class="special">&lt;</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">multiprecision</span><span class="special">/</span><span class="identifier">cpp_int</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">&gt;</span></code>
+        </p>
+<pre class="programlisting"><span class="keyword">namespace</span> <span class="identifier">boost</span><span class="special">{</span> <span class="keyword">namespace</span> <span class="identifier">multiprecision</span><span class="special">{</span>
+
+<span class="keyword">typedef</span> <span class="identifier">rational_adapter</span><span class="special">&lt;</span><span class="identifier">cpp_int_backend</span><span class="special">&lt;&gt;</span> <span class="special">&gt;</span>    <span class="identifier">cpp_rational_backend</span><span class="special">;</span>
+
+<span class="keyword">typedef</span> <span class="identifier">mp_number</span><span class="special">&lt;</span><span class="identifier">cpp_rational_backend</span><span class="special">&gt;</span>         <span class="identifier">cpp_rational</span><span class="special">;</span>
+
+<span class="special">}}</span> <span class="comment">// namespaces</span>
+</pre>
+<p>
+          The <code class="computeroutput"><span class="identifier">cpp_rational_backend</span></code>
+          type is used via the typedef <code class="computeroutput"><span class="identifier">boost</span><span class="special">::</span><span class="identifier">multiprecision</span><span class="special">::</span><span class="identifier">cpp_rational</span></code>.
+          It provides a rational number type that is a drop-in replacement for the
+          native C++ number types, but with unlimited precision.
+        </p>
+<p>
+          As well as the usual conversions from arithmetic and string types, instances
+          of <code class="computeroutput"><span class="identifier">cpp_rational</span></code> are copy
+          constructible and assignable from type <code class="computeroutput"><span class="identifier">cpp_int</span></code>.
+        </p>
+<p>
+          There is also a two argument constructor that accepts a numerator and denominator:
+          both of type <code class="computeroutput"><span class="identifier">cpp_int</span></code>.
+        </p>
+<p>
+          There are also non-member functions:
+        </p>
+<pre class="programlisting"><span class="identifier">cpp_int</span> <span class="identifier">numerator</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">cpp_rational</span><span class="special">&amp;);</span>
+<span class="identifier">cpp_int</span> <span class="identifier">denominator</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">cpp_rational</span><span class="special">&amp;);</span>
+</pre>
+<p>
+          which return the numerator and denominator of the number.
+        </p>
+<p>
+          Things you should know when using this type:
+        </p>
+<div class="itemizedlist"><ul class="itemizedlist" type="disc">
+<li class="listitem">
+              Default constructed <code class="computeroutput"><span class="identifier">cpp_rational</span></code>s
+              have the value zero.
+            </li>
+<li class="listitem">
+              Division by zero results in a <code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">rumtime_error</span></code>
+              being thrown.
+            </li>
+</ul></div>
+<h6>
+<a name="boost_multiprecision.tut.rational.cpp_rational.h0"></a>
+          <span><a name="boost_multiprecision.tut.rational.cpp_rational.example_"></a></span><a class="link" href="cpp_rational.html#boost_multiprecision.tut.rational.cpp_rational.example_">Example:</a>
+        </h6>
+<p>
+</p>
+<pre class="programlisting"><span class="preprocessor">#include</span> <span class="special">&lt;</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">multiprecision</span><span class="special">/</span><span class="identifier">cpp_int</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">&gt;</span>
+
+<span class="keyword">using</span> <span class="keyword">namespace</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">multiprecision</span><span class="special">;</span>
+
+<span class="identifier">cpp_rational</span> <span class="identifier">v</span> <span class="special">=</span> <span class="number">1</span><span class="special">;</span>
+
+<span class="comment">// Do some arithmetic:</span>
+<span class="keyword">for</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">i</span> <span class="special">=</span> <span class="number">1</span><span class="special">;</span> <span class="identifier">i</span> <span class="special">&lt;=</span> <span class="number">1000</span><span class="special">;</span> <span class="special">++</span><span class="identifier">i</span><span class="special">)</span>
+   <span class="identifier">v</span> <span class="special">*=</span> <span class="identifier">i</span><span class="special">;</span>
+<span class="identifier">v</span> <span class="special">/=</span> <span class="number">10</span><span class="special">;</span>
+
+<span class="identifier">std</span><span class="special">::</span><span class="identifier">cout</span> <span class="special">&lt;&lt;</span> <span class="identifier">v</span> <span class="special">&lt;&lt;</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">endl</span><span class="special">;</span> <span class="comment">// prints 1000! / 10</span>
+<span class="identifier">std</span><span class="special">::</span><span class="identifier">cout</span> <span class="special">&lt;&lt;</span> <span class="identifier">numerator</span><span class="special">(</span><span class="identifier">v</span><span class="special">)</span> <span class="special">&lt;&lt;</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">endl</span><span class="special">;</span>
+<span class="identifier">std</span><span class="special">::</span><span class="identifier">cout</span> <span class="special">&lt;&lt;</span> <span class="identifier">denominator</span><span class="special">(</span><span class="identifier">v</span><span class="special">)</span> <span class="special">&lt;&lt;</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">endl</span><span class="special">;</span>
+
+<span class="identifier">cpp_rational</span> <span class="identifier">w</span><span class="special">(</span><span class="number">2</span><span class="special">,</span> <span class="number">3</span><span class="special">);</span>  <span class="comment">// component wise constructor</span>
+<span class="identifier">std</span><span class="special">::</span><span class="identifier">cout</span> <span class="special">&lt;&lt;</span> <span class="identifier">w</span> <span class="special">&lt;&lt;</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">endl</span><span class="special">;</span> <span class="comment">// prints 2/3</span>
+</pre>
+<p>
+        </p>
+</div>
+<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
+<td align="left"></td>
+<td align="right"><div class="copyright-footer">Copyright &#169; 2002-2012 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 http://www.boost.org/LICENSE_1_0.txt)
+      </p>
+</div></td>
+</tr></table>
+<hr>
+<div class="spirit-nav">
+<a accesskey="p" href="gmp_rational.html"><img src="../../../images/prev.png" alt="Prev"></a><a accesskey="u" href="../rational.html"><img src="../../../images/up.png" alt="Up"></a><a accesskey="h" href="../../../index.html"><img src="../../../images/home.png" alt="Home"></a><a accesskey="n" href="tommath_rational.html"><img src="../../../images/next.png" alt="Next"></a>
+</div>
+</body>
+</html>

Added: sandbox/big_number/libs/multiprecision/doc/html/boost_multiprecision/tut/rational/gmp_rational.html
==============================================================================
--- (empty file)
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@@ -0,0 +1,138 @@
+<html>
+<head>
+<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
+<title>gmp_rational</title>
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+<meta name="generator" content="DocBook XSL Stylesheets V1.76.1">
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+</div>
+<div class="section boost_multiprecision_tut_rational_gmp_rational">
+<div class="titlepage"><div><div><h4 class="title">
+<a name="boost_multiprecision.tut.rational.gmp_rational"></a><a class="link" href="gmp_rational.html" title="gmp_rational">gmp_rational</a>
+</h4></div></div></div>
+<p>
+          <code class="computeroutput"><span class="preprocessor">#include</span> <span class="special">&lt;</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">multiprecision</span><span class="special">/</span><span class="identifier">gmp</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">&gt;</span></code>
+        </p>
+<pre class="programlisting"><span class="keyword">namespace</span> <span class="identifier">boost</span><span class="special">{</span> <span class="keyword">namespace</span> <span class="identifier">multiprecision</span><span class="special">{</span>
+
+<span class="keyword">class</span> <span class="identifier">gmp_rational</span><span class="special">;</span>
+
+<span class="keyword">typedef</span> <span class="identifier">mp_number</span><span class="special">&lt;</span><span class="identifier">gmp_rational</span> <span class="special">&gt;</span>         <span class="identifier">mpq_rational</span><span class="special">;</span>
+
+<span class="special">}}</span> <span class="comment">// namespaces</span>
+</pre>
+<p>
+          The <code class="computeroutput"><span class="identifier">gmp_rational</span></code> back-end
+          is used via the typedef <code class="computeroutput"><span class="identifier">boost</span><span class="special">::</span><span class="identifier">multiprecision</span><span class="special">::</span><span class="identifier">mpq_rational</span></code>.
+          It acts as a thin wrapper around the GMP
+          <code class="computeroutput"><span class="identifier">mpq_t</span></code> to provide a rational
+          number type that is a drop-in replacement for the native C++ number types,
+          but with unlimited precision.
+        </p>
+<p>
+          As well as the usual conversions from arithmetic and string types, instances
+          of <code class="computeroutput"><span class="identifier">mp_number</span><span class="special">&lt;</span><span class="identifier">gmp_rational</span><span class="special">&gt;</span></code>
+          are copy constructible and assignable from:
+        </p>
+<div class="itemizedlist"><ul class="itemizedlist" type="disc">
+<li class="listitem">
+              The GMP native types: <code class="computeroutput"><span class="identifier">mpz_t</span></code>, <code class="computeroutput"><span class="identifier">mpq_t</span></code>.
+            </li>
+<li class="listitem">
+              <code class="computeroutput"><span class="identifier">mp_number</span><span class="special">&lt;</span><span class="identifier">gmp_int</span><span class="special">&gt;</span></code>.
+            </li>
+</ul></div>
+<p>
+          There is also a two-argument constructor that accepts a numerator and denominator
+          (both of type <code class="computeroutput"><span class="identifier">mp_number</span><span class="special">&lt;</span><span class="identifier">gmp_int</span><span class="special">&gt;</span></code>).
+        </p>
+<p>
+          There are also non-member functions:
+        </p>
+<pre class="programlisting"><span class="identifier">mpz_int</span> <span class="identifier">numerator</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">mpq_rational</span><span class="special">&amp;);</span>
+<span class="identifier">mpz_int</span> <span class="identifier">denominator</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">mpq_rational</span><span class="special">&amp;);</span>
+</pre>
+<p>
+          which return the numerator and denominator of the number.
+        </p>
+<p>
+          It's also possible to access the underlying <code class="computeroutput"><span class="identifier">mpq_t</span></code>
+          via the <code class="computeroutput"><span class="identifier">data</span><span class="special">()</span></code>
+          member function of <code class="computeroutput"><span class="identifier">mpq_rational</span></code>.
+        </p>
+<p>
+          Things you should know when using this type:
+        </p>
+<div class="itemizedlist"><ul class="itemizedlist" type="disc">
+<li class="listitem">
+              Default constructed <code class="computeroutput"><span class="identifier">mpq_rational</span></code>s
+              have the value zero (this is the GMP
+              default behavior).
+            </li>
+<li class="listitem">
+              Division by zero results in a hardware exception inside the GMP library.
+            </li>
+<li class="listitem">
+              No changes are made to the GMP
+              library's global settings, so this type can coexist with existing
+              GMP code.
+            </li>
+<li class="listitem">
+              The code can equally be used with MPIR
+              as the underlying library - indeed that is the preferred option on
+              Win32.
+            </li>
+</ul></div>
+<h6>
+<a name="boost_multiprecision.tut.rational.gmp_rational.h0"></a>
+          <span><a name="boost_multiprecision.tut.rational.gmp_rational.example_"></a></span><a class="link" href="gmp_rational.html#boost_multiprecision.tut.rational.gmp_rational.example_">Example:</a>
+        </h6>
+<p>
+</p>
+<pre class="programlisting"><span class="preprocessor">#include</span> <span class="special">&lt;</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">multiprecision</span><span class="special">/</span><span class="identifier">gmp</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">&gt;</span>
+
+<span class="keyword">using</span> <span class="keyword">namespace</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">multiprecision</span><span class="special">;</span>
+
+<span class="identifier">mpq_rational</span> <span class="identifier">v</span> <span class="special">=</span> <span class="number">1</span><span class="special">;</span>
+
+<span class="comment">// Do some arithmetic:</span>
+<span class="keyword">for</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">i</span> <span class="special">=</span> <span class="number">1</span><span class="special">;</span> <span class="identifier">i</span> <span class="special">&lt;=</span> <span class="number">1000</span><span class="special">;</span> <span class="special">++</span><span class="identifier">i</span><span class="special">)</span>
+   <span class="identifier">v</span> <span class="special">*=</span> <span class="identifier">i</span><span class="special">;</span>
+<span class="identifier">v</span> <span class="special">/=</span> <span class="number">10</span><span class="special">;</span>
+
+<span class="identifier">std</span><span class="special">::</span><span class="identifier">cout</span> <span class="special">&lt;&lt;</span> <span class="identifier">v</span> <span class="special">&lt;&lt;</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">endl</span><span class="special">;</span> <span class="comment">// prints 1000! / 10</span>
+<span class="identifier">std</span><span class="special">::</span><span class="identifier">cout</span> <span class="special">&lt;&lt;</span> <span class="identifier">numerator</span><span class="special">(</span><span class="identifier">v</span><span class="special">)</span> <span class="special">&lt;&lt;</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">endl</span><span class="special">;</span>
+<span class="identifier">std</span><span class="special">::</span><span class="identifier">cout</span> <span class="special">&lt;&lt;</span> <span class="identifier">denominator</span><span class="special">(</span><span class="identifier">v</span><span class="special">)</span> <span class="special">&lt;&lt;</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">endl</span><span class="special">;</span>
+
+<span class="identifier">mpq_rational</span> <span class="identifier">w</span><span class="special">(</span><span class="number">2</span><span class="special">,</span> <span class="number">3</span><span class="special">);</span>  <span class="comment">// component wise constructor</span>
+<span class="identifier">std</span><span class="special">::</span><span class="identifier">cout</span> <span class="special">&lt;&lt;</span> <span class="identifier">w</span> <span class="special">&lt;&lt;</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">endl</span><span class="special">;</span> <span class="comment">// prints 2/3</span>
+
+<span class="comment">// Access the underlying data:</span>
+<span class="identifier">mpq_t</span> <span class="identifier">q</span><span class="special">;</span>
+<span class="identifier">mpq_init</span><span class="special">(</span><span class="identifier">q</span><span class="special">);</span>
+<span class="identifier">mpq_set</span><span class="special">(</span><span class="identifier">q</span><span class="special">,</span> <span class="identifier">v</span><span class="special">.</span><span class="identifier">backend</span><span class="special">().</span><span class="identifier">data</span><span class="special">());</span>
+</pre>
+<p>
+        </p>
+</div>
+<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
+<td align="left"></td>
+<td align="right"><div class="copyright-footer">Copyright &#169; 2002-2012 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 http://www.boost.org/LICENSE_1_0.txt)
+      </p>
+</div></td>
+</tr></table>
+<hr>
+<div class="spirit-nav">
+<a accesskey="p" href="../rational.html"><img src="../../../images/prev.png" alt="Prev"></a><a accesskey="u" href="../rational.html"><img src="../../../images/up.png" alt="Up"></a><a accesskey="h" href="../../../index.html"><img src="../../../images/home.png" alt="Home"></a><a accesskey="n" href="cpp_rational.html"><img src="../../../images/next.png" alt="Next"></a>
+</div>
+</body>
+</html>

Added: sandbox/big_number/libs/multiprecision/doc/html/boost_multiprecision/tut/rational/rational_adapter.html
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--- (empty file)
+++ sandbox/big_number/libs/multiprecision/doc/html/boost_multiprecision/tut/rational/rational_adapter.html	2012-03-30 14:35:38 EDT (Fri, 30 Mar 2012)
@@ -0,0 +1,58 @@
+<html>
+<head>
+<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
+<title>rational_adapter</title>
+<link rel="stylesheet" href="http://www.boost.org/doc/libs/release/doc/src/boostbook.css" type="text/css">
+<meta name="generator" content="DocBook XSL Stylesheets V1.76.1">
+<link rel="home" href="../../../index.html" title="Chapter&#160;1.&#160;Boost.Multiprecision">
+<link rel="up" href="../rational.html" title="Rational Number Types">
+<link rel="prev" href="br.html" title="Use With Boost.Rational">
+<link rel="next" href="../conversions.html" title="Constructing and Interconverting Between Number Types">
+</head>
+<body bgcolor="white" text="black" link="#0000FF" vlink="#840084" alink="#0000FF">
+<div class="spirit-nav">
+<a accesskey="p" href="br.html"><img src="../../../images/prev.png" alt="Prev"></a><a accesskey="u" href="../rational.html"><img src="../../../images/up.png" alt="Up"></a><a accesskey="h" href="../../../index.html"><img src="../../../images/home.png" alt="Home"></a><a accesskey="n" href="../conversions.html"><img src="../../../images/next.png" alt="Next"></a>
+</div>
+<div class="section boost_multiprecision_tut_rational_rational_adapter">
+<div class="titlepage"><div><div><h4 class="title">
+<a name="boost_multiprecision.tut.rational.rational_adapter"></a><a class="link" href="rational_adapter.html" title="rational_adapter">rational_adapter</a>
+</h4></div></div></div>
+<pre class="programlisting"><span class="keyword">namespace</span> <span class="identifier">boost</span><span class="special">{</span> <span class="keyword">namespace</span> <span class="identifier">multiprecision</span><span class="special">{</span>
+
+<span class="keyword">template</span> <span class="special">&lt;</span><span class="keyword">class</span> <span class="identifier">IntBackend</span><span class="special">&gt;</span>
+<span class="keyword">class</span> <span class="identifier">rational_adpater</span><span class="special">;</span>
+
+<span class="special">}}</span>
+</pre>
+<p>
+          The class template <code class="computeroutput"><span class="identifier">rational_adapter</span></code>
+          is a back-end for <code class="computeroutput"><span class="identifier">mp_number</span></code>
+          which converts any existing integer back-end into a rational-number back-end.
+        </p>
+<p>
+          So for example, given an integer back-end type <code class="computeroutput"><span class="identifier">MyIntegerBackend</span></code>,
+          the use would be something like:
+        </p>
+<pre class="programlisting"><span class="keyword">typedef</span> <span class="identifier">mp_number</span><span class="special">&lt;</span><span class="identifier">MyIntegerBackend</span><span class="special">&gt;</span>                    <span class="identifier">MyInt</span><span class="special">;</span>
+<span class="keyword">typedef</span> <span class="identifier">mp_number</span><span class="special">&lt;</span><span class="identifier">rational_adapter</span><span class="special">&lt;</span><span class="identifier">MyIntegerBackend</span><span class="special">&gt;</span> <span class="special">&gt;</span> <span class="identifier">MyRational</span><span class="special">;</span>
+
+<span class="identifier">MyRational</span> <span class="identifier">r</span> <span class="special">=</span> <span class="number">2</span><span class="special">;</span>
+<span class="identifier">r</span> <span class="special">/=</span> <span class="number">3</span><span class="special">;</span>
+<span class="identifier">MyInt</span> <span class="identifier">i</span> <span class="special">=</span> <span class="identifier">numerator</span><span class="special">(</span><span class="identifier">r</span><span class="special">);</span>
+<span class="identifier">assert</span><span class="special">(</span><span class="identifier">i</span> <span class="special">==</span> <span class="number">2</span><span class="special">);</span>
+</pre>
+</div>
+<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
+<td align="left"></td>
+<td align="right"><div class="copyright-footer">Copyright &#169; 2002-2012 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 http://www.boost.org/LICENSE_1_0.txt)
+      </p>
+</div></td>
+</tr></table>
+<hr>
+<div class="spirit-nav">
+<a accesskey="p" href="br.html"><img src="../../../images/prev.png" alt="Prev"></a><a accesskey="u" href="../rational.html"><img src="../../../images/up.png" alt="Up"></a><a accesskey="h" href="../../../index.html"><img src="../../../images/home.png" alt="Home"></a><a accesskey="n" href="../conversions.html"><img src="../../../images/next.png" alt="Next"></a>
+</div>
+</body>
+</html>

Added: sandbox/big_number/libs/multiprecision/doc/html/boost_multiprecision/tut/rational/tommath_rational.html
==============================================================================
--- (empty file)
+++ sandbox/big_number/libs/multiprecision/doc/html/boost_multiprecision/tut/rational/tommath_rational.html	2012-03-30 14:35:38 EDT (Fri, 30 Mar 2012)
@@ -0,0 +1,115 @@
+<html>
+<head>
+<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
+<title>tommath_rational</title>
+<link rel="stylesheet" href="http://www.boost.org/doc/libs/release/doc/src/boostbook.css" type="text/css">
+<meta name="generator" content="DocBook XSL Stylesheets V1.76.1">
+<link rel="home" href="../../../index.html" title="Chapter&#160;1.&#160;Boost.Multiprecision">
+<link rel="up" href="../rational.html" title="Rational Number Types">
+<link rel="prev" href="cpp_rational.html" title="cpp_rational">
+<link rel="next" href="br.html" title="Use With Boost.Rational">
+</head>
+<body bgcolor="white" text="black" link="#0000FF" vlink="#840084" alink="#0000FF">
+<div class="spirit-nav">
+<a accesskey="p" href="cpp_rational.html"><img src="../../../images/prev.png" alt="Prev"></a><a accesskey="u" href="../rational.html"><img src="../../../images/up.png" alt="Up"></a><a accesskey="h" href="../../../index.html"><img src="../../../images/home.png" alt="Home"></a><a accesskey="n" href="br.html"><img src="../../../images/next.png" alt="Next"></a>
+</div>
+<div class="section boost_multiprecision_tut_rational_tommath_rational">
+<div class="titlepage"><div><div><h4 class="title">
+<a name="boost_multiprecision.tut.rational.tommath_rational"></a><a class="link" href="tommath_rational.html" title="tommath_rational">tommath_rational</a>
+</h4></div></div></div>
+<p>
+          <code class="computeroutput"><span class="preprocessor">#include</span> <span class="special">&lt;</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">multiprecision</span><span class="special">/</span><span class="identifier">tommath</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">&gt;</span></code>
+        </p>
+<pre class="programlisting"><span class="keyword">namespace</span> <span class="identifier">boost</span><span class="special">{</span> <span class="keyword">namespace</span> <span class="identifier">multiprecision</span><span class="special">{</span>
+
+<span class="keyword">typedef</span> <span class="identifier">rational_adpater</span><span class="special">&lt;</span><span class="identifier">tommath_int</span><span class="special">&gt;</span>        <span class="identifier">tommath_rational</span><span class="special">;</span>
+<span class="keyword">typedef</span> <span class="identifier">mp_number</span><span class="special">&lt;</span><span class="identifier">tommath_rational</span> <span class="special">&gt;</span>         <span class="identifier">tom_rational</span><span class="special">;</span>
+
+<span class="special">}}</span> <span class="comment">// namespaces</span>
+</pre>
+<p>
+          The <code class="computeroutput"><span class="identifier">tommath_rational</span></code> back-end
+          is used via the typedef <code class="computeroutput"><span class="identifier">boost</span><span class="special">::</span><span class="identifier">multiprecision</span><span class="special">::</span><span class="identifier">tom_rational</span></code>.
+          It acts as a thin wrapper around <code class="computeroutput"><span class="identifier">boost</span><span class="special">::</span><span class="identifier">rational</span><span class="special">&lt;</span><span class="identifier">tom_int</span><span class="special">&gt;</span></code> to provide a rational number type that
+          is a drop-in replacement for the native C++ number types, but with unlimited
+          precision.
+        </p>
+<p>
+          The advantage of using this type rather than <code class="computeroutput"><span class="identifier">boost</span><span class="special">::</span><span class="identifier">rational</span><span class="special">&lt;</span><span class="identifier">tom_int</span><span class="special">&gt;</span></code> directly, is that it is expression-template
+          enabled, greatly reducing the number of temporaries created in complex
+          expressions.
+        </p>
+<p>
+          There are also non-member functions:
+        </p>
+<pre class="programlisting"><span class="identifier">tom_int</span> <span class="identifier">numerator</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">tom_rational</span><span class="special">&amp;);</span>
+<span class="identifier">tom_int</span> <span class="identifier">denominator</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">tom_rational</span><span class="special">&amp;);</span>
+</pre>
+<p>
+          which return the numerator and denominator of the number.
+        </p>
+<p>
+          Things you should know when using this type:
+        </p>
+<div class="itemizedlist"><ul class="itemizedlist" type="disc">
+<li class="listitem">
+              Default constructed <code class="computeroutput"><span class="identifier">tom_rational</span></code>s
+              have the value zero (this the inherited Boost.Rational behavior).
+            </li>
+<li class="listitem">
+              Division by zero results in a <code class="computeroutput"><span class="identifier">boost</span><span class="special">::</span><span class="identifier">bad_rational</span></code>
+              exception being thrown (see the rational number library's docs for
+              more information).
+            </li>
+<li class="listitem">
+              No changes are made to libtommath's
+              global state, so this type can safely coexist with other libtommath
+              code.
+            </li>
+<li class="listitem">
+              Performance of this type has been found to be pretty poor - this need
+              further investigation - but it appears that Boost.Rational needs some
+              improvement in this area.
+            </li>
+</ul></div>
+<h6>
+<a name="boost_multiprecision.tut.rational.tommath_rational.h0"></a>
+          <span><a name="boost_multiprecision.tut.rational.tommath_rational.example_"></a></span><a class="link" href="tommath_rational.html#boost_multiprecision.tut.rational.tommath_rational.example_">Example:</a>
+        </h6>
+<p>
+</p>
+<pre class="programlisting"><span class="preprocessor">#include</span> <span class="special">&lt;</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">multiprecision</span><span class="special">/</span><span class="identifier">tommath</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">&gt;</span>
+
+<span class="keyword">using</span> <span class="keyword">namespace</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">multiprecision</span><span class="special">;</span>
+
+<span class="identifier">tom_rational</span> <span class="identifier">v</span> <span class="special">=</span> <span class="number">1</span><span class="special">;</span>
+
+<span class="comment">// Do some arithmetic:</span>
+<span class="keyword">for</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">i</span> <span class="special">=</span> <span class="number">1</span><span class="special">;</span> <span class="identifier">i</span> <span class="special">&lt;=</span> <span class="number">1000</span><span class="special">;</span> <span class="special">++</span><span class="identifier">i</span><span class="special">)</span>
+   <span class="identifier">v</span> <span class="special">*=</span> <span class="identifier">i</span><span class="special">;</span>
+<span class="identifier">v</span> <span class="special">/=</span> <span class="number">10</span><span class="special">;</span>
+
+<span class="identifier">std</span><span class="special">::</span><span class="identifier">cout</span> <span class="special">&lt;&lt;</span> <span class="identifier">v</span> <span class="special">&lt;&lt;</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">endl</span><span class="special">;</span> <span class="comment">// prints 1000! / 10</span>
+<span class="identifier">std</span><span class="special">::</span><span class="identifier">cout</span> <span class="special">&lt;&lt;</span> <span class="identifier">numerator</span><span class="special">(</span><span class="identifier">v</span><span class="special">)</span> <span class="special">&lt;&lt;</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">endl</span><span class="special">;</span>
+<span class="identifier">std</span><span class="special">::</span><span class="identifier">cout</span> <span class="special">&lt;&lt;</span> <span class="identifier">denominator</span><span class="special">(</span><span class="identifier">v</span><span class="special">)</span> <span class="special">&lt;&lt;</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">endl</span><span class="special">;</span>
+
+<span class="identifier">tom_rational</span> <span class="identifier">w</span><span class="special">(</span><span class="number">2</span><span class="special">,</span> <span class="number">3</span><span class="special">);</span> <span class="comment">// Component wise constructor</span>
+<span class="identifier">std</span><span class="special">::</span><span class="identifier">cout</span> <span class="special">&lt;&lt;</span> <span class="identifier">w</span> <span class="special">&lt;&lt;</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">endl</span><span class="special">;</span> <span class="comment">// prints 2/3</span>
+</pre>
+<p>
+        </p>
+</div>
+<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
+<td align="left"></td>
+<td align="right"><div class="copyright-footer">Copyright &#169; 2002-2012 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 http://www.boost.org/LICENSE_1_0.txt)
+      </p>
+</div></td>
+</tr></table>
+<hr>
+<div class="spirit-nav">
+<a accesskey="p" href="cpp_rational.html"><img src="../../../images/prev.png" alt="Prev"></a><a accesskey="u" href="../rational.html"><img src="../../../images/up.png" alt="Up"></a><a accesskey="h" href="../../../index.html"><img src="../../../images/home.png" alt="Home"></a><a accesskey="n" href="br.html"><img src="../../../images/next.png" alt="Next"></a>
+</div>
+</body>
+</html>

Added: sandbox/big_number/libs/multiprecision/doc/html/index.html
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+++ sandbox/big_number/libs/multiprecision/doc/html/index.html	2012-03-30 14:35:38 EDT (Fri, 30 Mar 2012)
@@ -0,0 +1,108 @@
+<html>
+<head>
+<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
+<title>Chapter&#160;1.&#160;Boost.Multiprecision</title>
+<link rel="stylesheet" href="http://www.boost.org/doc/libs/release/doc/src/boostbook.css" type="text/css">
+<meta name="generator" content="DocBook XSL Stylesheets V1.76.1">
+<link rel="home" href="index.html" title="Chapter&#160;1.&#160;Boost.Multiprecision">
+<link rel="next" href="boost_multiprecision/intro.html" title="Introduction">
+</head>
+<body bgcolor="white" text="black" link="#0000FF" vlink="#840084" alink="#0000FF">
+<div class="spirit-nav"><a accesskey="n" href="boost_multiprecision/intro.html"><img src="images/next.png" alt="Next"></a></div>
+<div class="chapter">
+<div class="titlepage"><div>
+<div><h2 class="title">
+<a name="boost_multiprecision"></a>Chapter&#160;1.&#160;Boost.Multiprecision</h2></div>
+<div><div class="author"><h3 class="author">
+<span class="firstname">John</span> <span class="surname">Maddock</span>
+</h3></div></div>
+<div><div class="author"><h3 class="author">
+<span class="firstname">Christopher</span> <span class="surname">Kormanyos</span>
+</h3></div></div>
+<div><p class="copyright">Copyright &#169; 2002-2012 John Maddock and Christopher Kormanyos</p></div>
+<div><div class="legalnotice">
+<a name="boost_multiprecision.legal"></a><p>
+        Distributed under the Boost Software License, Version 1.0. (See accompanying
+        file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+      </p>
+</div></div>
+</div></div>
+<div class="toc">
+<p><b>Table of Contents</b></p>
+<dl>
+<dt><span class="section">Introduction</span></dt>
+<dt><span class="section">Tutorial</span></dt>
+<dd><dl>
+<dt><span class="section">Integer Types</span></dt>
+<dd><dl>
+<dt><span class="section">cpp_int</span></dt>
+<dt><span class="section">gmp_int</span></dt>
+<dt><span class="section">tom_int</span></dt>
+</dl></dd>
+<dt><span class="section">Floating Point Numbers</span></dt>
+<dd><dl>
+<dt><span class="section">gmp_float</span></dt>
+<dt><span class="section">mpfr_float</span></dt>
+<dt><span class="section">cpp_dec_float</span></dt>
+</dl></dd>
+<dt><span class="section">Rational Number Types</span></dt>
+<dd><dl>
+<dt><span class="section">gmp_rational</span></dt>
+<dt><span class="section">cpp_rational</span></dt>
+<dt><span class="section">tommath_rational</span></dt>
+<dt><span class="section">Use With Boost.Rational</span></dt>
+<dt><span class="section">rational_adapter</span></dt>
+</dl></dd>
+<dt><span class="section"><a href="boost_multiprecision/tut/conversions.html">Constructing and
+      Interconverting Between Number Types</a></span></dt>
+<dt><span class="section">Generating Random Numbers</span></dt>
+<dt><span class="section">Primality Testing</span></dt>
+</dl></dd>
+<dt><span class="section">Reference</span></dt>
+<dd><dl>
+<dt><span class="section">mp_number</span></dt>
+<dt><span class="section">cpp_int</span></dt>
+<dt><span class="section">gmp_int</span></dt>
+<dt><span class="section">tom_int</span></dt>
+<dt><span class="section">gmp_float</span></dt>
+<dt><span class="section">mpfr_float_backend</span></dt>
+<dt><span class="section">cpp_dec_float</span></dt>
+<dt><span class="section">Backend Requirements</span></dt>
+</dl></dd>
+<dt><span class="section">Performance Comparison</span></dt>
+<dd><dl>
+<dt><span class="section"><a href="boost_multiprecision/perf/realworld.html">Floating Point Real
+      World Tests</a></span></dt>
+<dt><span class="section"><a href="boost_multiprecision/perf/int_real_world.html">Integer Real
+      World Tests</a></span></dt>
+<dt><span class="section"><a href="boost_multiprecision/perf/float_performance.html">Float Algorithm
+      Perfomance</a></span></dt>
+<dt><span class="section"><a href="boost_multiprecision/perf/integer_performance.html">Integer
+      Algorithm Perfomance</a></span></dt>
+<dt><span class="section"><a href="boost_multiprecision/perf/rational_performance.html">Rational
+      Type Perfomance</a></span></dt>
+</dl></dd>
+<dt><span class="section">Roadmap</span></dt>
+<dd><dl>
+<dt><span class="section">History</span></dt>
+<dt><span class="section">TODO</span></dt>
+<dt><span class="section">Acknowledgements</span></dt>
+</dl></dd>
+<dt><span class="section">Indexes</span></dt>
+<dd><dl>
+<dt><span class="section">Function Index</span></dt>
+<dt><span class="section">Class Index</span></dt>
+<dt><span class="section">Typedef Index</span></dt>
+<dt><span class="section">Index</span></dt>
+</dl></dd>
+</dl>
+</div>
+</div>
+<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
+<td align="left"><p><small>Last revised: March 30, 2012 at 18:33:57 GMT</small></p></td>
+<td align="right"><div class="copyright-footer"></div></td>
+</tr></table>
+<hr>
+<div class="spirit-nav"><a accesskey="n" href="boost_multiprecision/intro.html"><img src="images/next.png" alt="Next"></a></div>
+</body>
+</html>